1
0
Fork 0
mirror of https://github.com/gwm17/catima.git synced 2024-11-23 02:38:51 -05:00
catima/generated_LS_coeff.h
2018-01-22 19:36:50 +01:00

477 lines
738 KiB
C++

//LS precalculated LS coefficients
#include "catima/storage.h"
#define LS_NUM_ENERGY_POINTS 200
#define LS_MAX_Z 110
namespace catima{
namespace ls_coefficients{
// relative difference of mass number for 2nd mass point ls_coefficients_ahi
constexpr double a_rel_increase=0.05;
constexpr double logEmin = 0;
constexpr double logEmax = 5;
// energy points array in MeV/u
EnergyTable<200> ls_energy_table(0,5);
//arrays dimensions are [z][energy], z=1 starts from index=0
//LS coefficient for A=atomic weight
double ls_coefficients_a[][200]=
{
{-0.0286005,-0.0269762,-0.0254384,-0.0239826,-0.0226044,-0.0212998,-0.0200648,-0.0188958,-0.0177891,-0.0167414,-0.0157495,-0.0148105,-0.0139213,-0.0130793,-0.0122818,-0.0115265,-0.0108109,-0.0101329,-0.00949027,-0.00888115,-0.0083036,-0.00775583,-0.00723615,-0.00674295,-0.0062747,-0.00582996,-0.00540738,-0.00500564,-0.00462353,-0.00425989,-0.00391361,-0.00358365,-0.00326903,-0.0029688,-0.00268208,-0.00240803,-0.00214586,-0.00189481,-0.00165416,-0.00142324,-0.0012014,-0.000988038,-0.000782569,-0.000584449,-0.000393155,-0.000208196,-2.91012e-05,0.000144572,0.000313247,0.000477324,0.000637183,0.000793185,0.000945673,0.00109497,0.0012414,0.00138523,0.00152676,0.00166625,0.00180395,0.00194009,0.0020749,0.0022086,0.00234139,0.00247346,0.00260498,0.00273612,0.00286706,0.00299792,0.00312886,0.00325999,0.00339145,0.00352333,0.00365574,0.00378876,0.00392249,0.00405698,0.00419229,0.00432849,0.0044656,0.00460367,0.0047427,0.00488271,0.00502369,0.00516564,0.00530853,0.00545232,0.00559697,0.00574243,0.00588862,0.00603547,0.00618289,0.00633076,0.00647899,0.00662745,0.006776,0.00692451,0.00707282,0.00722077,0.00736819,0.00751491,0.00766074,0.0078055,0.007949,0.00809104,0.00823143,0.00836998,0.00850649,0.00864077,0.00877264,0.0089019,0.0090284,0.00915196,0.00927243,0.00938966,0.00950352,0.00961389,0.00972066,0.00982374,0.00992306,0.0100185,0.0101102,0.0101979,0.0102817,0.0103616,0.0104376,0.0105097,0.010578,0.0106425,0.0107033,0.0107605,0.0108141,0.0108643,0.0109111,0.0109547,0.0109951,0.0110324,0.0110669,0.0110984,0.0111273,0.0111535,0.0111772,0.0111984,0.0112173,0.0112339,0.0112483,0.0112605,0.0112705,0.0112785,0.0112844,0.0112882,0.0112899,0.0112895,0.0112869,0.0112821,0.0112749,0.0112652,0.011253,0.011238,0.01122,0.0111988,0.011174,0.0111455,0.0111127,0.0110753,0.0110328,0.0109847,0.0109303,0.0108689,0.0107998,0.010722,0.0106346,0.0105364,0.0104261,0.0103024,0.0101636,0.0100079,0.00983338,0.00963767,0.00941827,0.0091723,0.0088966,0.00858758,0.00824121,0.00785299,0.00741787,0.0069302,0.00638364,0.00577111,0.00508464,0.00431533,0.00345395,0.00248834,0.00140654,0.000194686,-0.00116268,-0.00268283,-0.00438502,-0.00629005,-0.00842259,-0.0108087},
{-0.108683,-0.102922,-0.097437,-0.0922162,-0.0872489,-0.0825243,-0.0780321,-0.073762,-0.0697043,-0.0658493,-0.0621879,-0.0587109,-0.0554098,-0.0522762,-0.049302,-0.0464796,-0.0438014,-0.0412604,-0.0388496,-0.0365626,-0.0343929,-0.0323346,-0.0303819,-0.0285294,-0.0267717,-0.0251038,-0.023521,-0.0220186,-0.0205924,-0.0192382,-0.017952,-0.0167301,-0.015569,-0.0144651,-0.0134154,-0.0124167,-0.011466,-0.0105607,-0.00969814,-0.00887572,-0.00809112,-0.00734207,-0.00662644,-0.00594219,-0.00528738,-0.00466019,-0.00405889,-0.00348181,-0.00292739,-0.00239414,-0.00188067,-0.00138562,-0.000907732,-0.000445801,1.31405e-06,0.000434696,0.000855371,0.00126431,0.00166244,0.00205062,0.0024297,0.00280044,0.00316359,0.00351985,0.00386987,0.00421428,0.00455367,0.00488858,0.00521953,0.00554701,0.00587147,0.00619333,0.00651298,0.00683078,0.00714706,0.00746212,0.00777624,0.00808966,0.00840259,0.00871523,0.00902774,0.00934025,0.00965286,0.00996565,0.0102787,0.010592,0.0109055,0.0112192,0.0115331,0.0118471,0.012161,0.0124748,0.0127882,0.013101,0.0134132,0.0137243,0.0140342,0.0143426,0.0146492,0.0149537,0.0152557,0.015555,0.0158511,0.0161438,0.0164326,0.0167172,0.0169973,0.0172725,0.0175424,0.0178067,0.0180651,0.0183173,0.0185629,0.0188017,0.0190335,0.019258,0.019475,0.0196843,0.0198859,0.0200796,0.0202654,0.0204431,0.0206127,0.0207744,0.020928,0.0210737,0.0212116,0.0213417,0.0214643,0.0215794,0.0216873,0.021788,0.0218819,0.0219691,0.0220498,0.0221242,0.0221925,0.022255,0.0223118,0.0223631,0.0224091,0.0224499,0.0224857,0.0225167,0.0225428,0.0225643,0.0225811,0.0225932,0.0226007,0.0226036,0.0226016,0.0225948,0.0225828,0.0225656,0.0225427,0.022514,0.0224789,0.022437,0.0223877,0.0223304,0.0222644,0.0221887,0.0221025,0.0220046,0.0218937,0.0217684,0.0216273,0.0214683,0.0212895,0.0210887,0.0208632,0.0206101,0.0203263,0.020008,0.0196512,0.0192513,0.0188031,0.018301,0.0177384,0.0171081,0.0164021,0.0156115,0.0147258,0.0137341,0.0126235,0.0113801,0.00998803,0.00842986,0.00668603,0.00473508,0.00255242,0.000111379,-0.00261781,-0.0056681,-0.00907593,-0.0128834,-0.0171323,-0.0218726,-0.0271577,-0.0330461},
{-0.223884,-0.213009,-0.202568,-0.192553,-0.182953,-0.173755,-0.16495,-0.156525,-0.148469,-0.140769,-0.133415,-0.126394,-0.119694,-0.113303,-0.10721,-0.101404,-0.0958714,-0.0906027,-0.0855866,-0.0808123,-0.0762693,-0.0719475,-0.0678369,-0.063928,-0.0602115,-0.0566782,-0.0533196,-0.0501272,-0.0470929,-0.0442089,-0.0414678,-0.0388623,-0.0363856,-0.034031,-0.0317921,-0.029663,-0.0276377,-0.0257108,-0.0238769,-0.0221309,-0.0204681,-0.0188837,-0.0173734,-0.0159331,-0.0145586,-0.0132462,-0.0119923,-0.0107934,-0.00964627,-0.00854773,-0.00749484,-0.00648478,-0.00551487,-0.00458256,-0.00368542,-0.00282117,-0.00198762,-0.0011827,-0.000404448,0.000348997,0.0010794,0.00178843,0.00247768,0.00314864,0.00380272,0.00444127,0.00506554,0.00567674,0.00627597,0.00686428,0.00744268,0.00801208,0.00857334,0.00912727,0.00967462,0.0102161,0.0107522,0.0112837,0.011811,0.0123347,0.012855,0.0133725,0.0138873,0.0143999,0.0149103,0.0154188,0.0159254,0.0164303,0.0169335,0.017435,0.0179346,0.0184323,0.018928,0.0194213,0.0199121,0.0204002,0.0208851,0.0213666,0.0218443,0.0223178,0.0227866,0.0232502,0.0237084,0.0241604,0.024606,0.0250444,0.0254754,0.0258983,0.0263127,0.0267181,0.027114,0.0275001,0.0278758,0.0282409,0.028595,0.0289377,0.0292689,0.0295882,0.0298954,0.0301905,0.0304734,0.0307439,0.0310021,0.031248,0.0314816,0.0317031,0.0319127,0.0321105,0.0322967,0.0324716,0.0326355,0.0327885,0.0329311,0.0330635,0.0331861,0.0332991,0.033403,0.0334979,0.0335842,0.0336623,0.0337323,0.0337945,0.0338491,0.0338964,0.0339365,0.0339694,0.0339954,0.0340144,0.0340265,0.0340315,0.0340294,0.0340199,0.0340028,0.0339778,0.0339445,0.0339023,0.0338507,0.033789,0.0337163,0.0336318,0.0335342,0.0334224,0.0332949,0.03315,0.032986,0.0328007,0.0325918,0.0323567,0.0320922,0.0317951,0.0314616,0.0310874,0.0306677,0.0301973,0.02967,0.0290791,0.0284172,0.0276758,0.0268457,0.025916,0.0248751,0.0237098,0.0224056,0.0209459,0.0193125,0.0174852,0.0154416,0.0131562,0.0106012,0.00774588,0.00455597,0.000993742,-0.00298393,-0.00742085,-0.0123683,-0.0178814,-0.0240203,-0.030853,-0.0384474,-0.0468817},
{-0.356328,-0.340686,-0.325539,-0.310886,-0.296723,-0.283047,-0.269853,-0.257134,-0.244884,-0.233095,-0.221759,-0.210866,-0.200406,-0.19037,-0.180747,-0.171526,-0.162694,-0.154242,-0.146157,-0.138426,-0.131039,-0.123984,-0.117247,-0.110818,-0.104685,-0.0988357,-0.0932592,-0.0879442,-0.0828796,-0.0780547,-0.073459,-0.0690823,-0.0649147,-0.0609465,-0.0571684,-0.0535713,-0.0501465,-0.0468855,-0.0437803,-0.040823,-0.0380061,-0.0353223,-0.0327648,-0.0303268,-0.0280019,-0.0257842,-0.0236676,-0.0216467,-0.0197161,-0.0178706,-0.0161054,-0.0144159,-0.0127976,-0.0112463,-0.00975795,-0.00832875,-0.00695503,-0.00563334,-0.00436036,-0.00313296,-0.00194816,-0.000803139,0.000304789,0.00137817,0.00241941,0.00343079,0.00441446,0.00537247,0.00630674,0.00721908,0.0081112,0.00898469,0.00984106,0.0106817,0.011508,0.012321,0.013122,0.013912,0.0146919,0.0154626,0.0162249,0.0169795,0.017727,0.018468,0.019203,0.0199323,0.0206563,0.0213752,0.0220892,0.0227985,0.023503,0.0242028,0.0248977,0.0255876,0.0262723,0.0269516,0.027625,0.0282923,0.028953,0.0296067,0.0302529,0.030891,0.0315205,0.0321408,0.0327514,0.0333515,0.0339407,0.0345182,0.0350836,0.0356361,0.0361754,0.0367007,0.0372117,0.0377078,0.0381886,0.0386538,0.039103,0.0395359,0.0399523,0.0403521,0.0407351,0.0411013,0.0414507,0.0417834,0.0420995,0.0423992,0.0426827,0.0429502,0.0432021,0.0434387,0.0436603,0.0438675,0.0440605,0.0442399,0.0444061,0.0445595,0.0447005,0.0448297,0.0449474,0.045054,0.0451499,0.0452355,0.0453111,0.045377,0.0454334,0.0454806,0.0455186,0.0455475,0.0455675,0.0455784,0.0455801,0.0455724,0.0455552,0.0455279,0.0454901,0.0454413,0.0453806,0.0453074,0.0452206,0.0451191,0.0450015,0.0448663,0.0447118,0.0445361,0.0443368,0.0441115,0.0438573,0.0435709,0.0432487,0.0428867,0.0424802,0.042024,0.0415125,0.040939,0.0402963,0.0395763,0.0387698,0.0378668,0.0368557,0.0357238,0.034457,0.0330394,0.0314533,0.0296791,0.027695,0.0254765,0.0229968,0.0202258,0.0171305,0.0136742,0.00981578,0.00551186,0.000713059,-0.00463419,-0.0105884,-0.0172145,-0.0245801,-0.0327606,-0.0418365,-0.0518915},
{-0.492346,-0.472912,-0.453947,-0.435458,-0.417451,-0.399931,-0.382902,-0.366367,-0.350327,-0.334782,-0.319731,-0.305173,-0.291103,-0.277517,-0.264411,-0.251777,-0.239609,-0.227898,-0.216636,-0.205814,-0.195421,-0.185447,-0.175882,-0.166714,-0.157932,-0.149525,-0.141479,-0.133784,-0.126427,-0.119396,-0.11268,-0.106266,-0.100142,-0.0942985,-0.0887221,-0.0834023,-0.078328,-0.0734885,-0.0688733,-0.0644723,-0.0602755,-0.0562732,-0.0524563,-0.0488157,-0.0453427,-0.0420288,-0.0388661,-0.0358467,-0.0329632,-0.0302082,-0.027575,-0.025057,-0.0226476,-0.020341,-0.0181312,-0.0160128,-0.0139804,-0.0120289,-0.0101535,-0.00834964,-0.00661289,-0.00493909,-0.00332425,-0.00176459,-0.00025654,0.00120332,0.00261821,0.00399118,0.00532514,0.00662282,0.00788678,0.00911946,0.0103232,0.0115,0.012652,0.013781,0.0148888,0.015977,0.0170471,0.0181005,0.0191384,0.0201619,0.0211722,0.0221702,0.0231566,0.0241321,0.0250975,0.0260531,0.0269994,0.0279367,0.0288652,0.029785,0.0306962,0.0315988,0.0324925,0.0333773,0.0342527,0.0351185,0.0359742,0.0368194,0.0376535,0.038476,0.0392863,0.0400837,0.0408675,0.0416372,0.0423919,0.043131,0.0438538,0.0445596,0.0452478,0.0459178,0.046569,0.0472008,0.0478128,0.0484045,0.0489756,0.0495258,0.0500547,0.0505623,0.0510485,0.0515131,0.0519564,0.0523783,0.0527791,0.053159,0.0535183,0.0538574,0.0541767,0.0544766,0.0547576,0.0550203,0.0552651,0.0554928,0.0557037,0.0558986,0.0560779,0.0562423,0.0563924,0.0565286,0.0566514,0.0567613,0.0568588,0.0569443,0.057018,0.0570802,0.0571313,0.0571712,0.0572001,0.0572181,0.0572249,0.0572204,0.0572043,0.0571763,0.0571358,0.0570822,0.0570146,0.0569321,0.0568337,0.0567179,0.0565834,0.0564283,0.0562508,0.0560484,0.0558186,0.0555586,0.055265,0.0549341,0.0545617,0.0541431,0.053673,0.0531454,0.0525537,0.0518904,0.0511472,0.0503146,0.0493824,0.0483386,0.0471701,0.0458626,0.0443996,0.042763,0.0409327,0.0388863,0.0365988,0.0340425,0.0311868,0.0279978,0.0244381,0.0204657,0.0160361,0.011099,0.00559988,-0.000520862,-0.00732909,-0.0148937,-0.023291,-0.0326025,-0.0429131,-0.0543173},
{-0.623826,-0.601642,-0.579854,-0.558476,-0.537521,-0.517,-0.496926,-0.477307,-0.458152,-0.439471,-0.421268,-0.403551,-0.386322,-0.369586,-0.353343,-0.337595,-0.32234,-0.307577,-0.293302,-0.279513,-0.266202,-0.253366,-0.240995,-0.229084,-0.217623,-0.206603,-0.196014,-0.185847,-0.176089,-0.166731,-0.157761,-0.149166,-0.140936,-0.133058,-0.125521,-0.118311,-0.111418,-0.104829,-0.0985323,-0.0925163,-0.0867694,-0.0812803,-0.0760379,-0.0710314,-0.06625,-0.0616836,-0.0573221,-0.0531557,-0.0491749,-0.0453706,-0.0417341,-0.0382566,-0.0349301,-0.0317466,-0.0286985,-0.0257784,-0.0229794,-0.0202946,-0.0177178,-0.0152425,-0.0128631,-0.0105738,-0.00836925,-0.0062443,-0.00419408,-0.00221393,-0.000299416,0.00155365,0.00334927,0.00509121,0.00678305,0.00842817,0.0100297,0.0115908,0.0131141,0.0146023,0.016058,0.0174833,0.0188804,0.0202514,0.021598,0.0229219,0.0242247,0.0255076,0.026772,0.028019,0.0292495,0.0304643,0.0316641,0.0328496,0.0340211,0.035179,0.0363234,0.0374546,0.0385725,0.039677,0.0407678,0.0418448,0.0429075,0.0439555,0.0449882,0.0460051,0.0470056,0.047989,0.0489545,0.0499015,0.0508292,0.0517368,0.0526236,0.0534888,0.0543318,0.0551518,0.0559483,0.0567206,0.0574682,0.0581907,0.0588876,0.0595587,0.0602036,0.0608223,0.0614146,0.0619806,0.0625203,0.063034,0.0635218,0.0639842,0.0644214,0.064834,0.0652225,0.0655874,0.0659295,0.0662492,0.0665474,0.0668247,0.0670818,0.0673194,0.0675384,0.0677393,0.067923,0.06809,0.068241,0.0683765,0.0684972,0.0686036,0.068696,0.0687749,0.0688405,0.0688931,0.0689328,0.0689597,0.0689738,0.0689748,0.0689625,0.0689365,0.0688963,0.0688412,0.0687703,0.0686828,0.0685773,0.0684525,0.0683067,0.068138,0.0679443,0.0677232,0.0674717,0.0671868,0.0668648,0.0665016,0.0660926,0.0656327,0.0651161,0.0645363,0.063886,0.0631569,0.06234,0.0614251,0.0604005,0.0592536,0.05797,0.0565339,0.0549276,0.0531311,0.0511227,0.048878,0.0463697,0.043568,0.0404396,0.0369479,0.0330526,0.0287081,0.0238669,0.0184751,0.0124742,0.0058007,-0.00161559,-0.00984726,-0.018975,-0.0290842,-0.040263,-0.0526102},
{-0.747011,-0.722922,-0.699148,-0.675705,-0.652609,-0.629874,-0.607515,-0.585548,-0.563985,-0.542839,-0.522123,-0.501848,-0.482024,-0.462662,-0.443768,-0.425351,-0.407415,-0.389966,-0.373007,-0.35654,-0.340566,-0.325085,-0.310095,-0.295594,-0.281577,-0.26804,-0.254978,-0.242383,-0.230248,-0.218565,-0.207324,-0.196516,-0.186132,-0.176159,-0.166588,-0.157406,-0.148603,-0.140166,-0.132084,-0.124343,-0.116933,-0.109841,-0.103055,-0.0965628,-0.0903531,-0.0844141,-0.0787344,-0.0733026,-0.0681078,-0.0631393,-0.0583866,-0.0538395,-0.0494881,-0.0453228,-0.0413344,-0.0375139,-0.0338526,-0.0303421,-0.0269745,-0.0237419,-0.020637,-0.0176526,-0.0147818,-0.0120183,-0.00935561,-0.00678788,-0.00430938,-0.0019147,0.000401332,0.00264362,0.00481683,0.00692537,0.0089734,0.0109649,0.0129035,0.0147928,0.0166361,0.0184363,0.0201965,0.0219191,0.0236068,0.0252618,0.0268861,0.0284817,0.0300503,0.0315934,0.0331125,0.0346087,0.0360832,0.0375367,0.03897,0.0403837,0.0417783,0.043154,0.044511,0.0458494,0.0471691,0.0484699,0.0497515,0.0510134,0.0522554,0.0534767,0.0546768,0.055855,0.0570105,0.0581426,0.0592506,0.0603336,0.0613909,0.0624216,0.0634251,0.0644005,0.0653473,0.0662648,0.0671524,0.0680097,0.0688362,0.0696317,0.0703959,0.0711287,0.07183,0.0724999,0.0731385,0.0737461,0.074323,0.0748697,0.0753865,0.0758742,0.0763332,0.0767645,0.0771685,0.0775463,0.0778985,0.0782261,0.0785299,0.0788108,0.0790696,0.0793072,0.0795244,0.079722,0.0799009,0.0800616,0.0802049,0.0803313,0.0804414,0.0805358,0.0806146,0.0806782,0.0807269,0.0807607,0.0807795,0.0807832,0.0807715,0.0807441,0.0807003,0.0806393,0.0805602,0.080462,0.0803432,0.0802023,0.0800375,0.0798465,0.079627,0.0793762,0.0790909,0.0787674,0.0784018,0.0779893,0.0775248,0.0770025,0.0764158,0.0757574,0.0750189,0.0741912,0.0732641,0.0722257,0.0710633,0.0697624,0.0683071,0.0666793,0.0648593,0.0628248,0.0605513,0.0580115,0.0551751,0.0520088,0.0484756,0.044535,0.0401414,0.0352468,0.0297969,0.0237333,0.0169922,0.00950342,0.00119386,-0.00801709,-0.0182149,-0.0294879,-0.0419344,-0.0556523},
{-0.860779,-0.835389,-0.810244,-0.785358,-0.760745,-0.736422,-0.712404,-0.688706,-0.665343,-0.642332,-0.619687,-0.597422,-0.575552,-0.554091,-0.53305,-0.512443,-0.492279,-0.472569,-0.453323,-0.434546,-0.416247,-0.39843,-0.381101,-0.36426,-0.347911,-0.332054,-0.316687,-0.301809,-0.287417,-0.273507,-0.260073,-0.247109,-0.234608,-0.222562,-0.210963,-0.199802,-0.189067,-0.17875,-0.168839,-0.159323,-0.150191,-0.14143,-0.133028,-0.124975,-0.117257,-0.109862,-0.102778,-0.0959937,-0.0894965,-0.0832748,-0.0773168,-0.0716113,-0.066147,-0.060913,-0.0558986,-0.0510935,-0.0464875,-0.0420708,-0.0378339,-0.0337677,-0.0298632,-0.026112,-0.0225058,-0.0190367,-0.015697,-0.0124795,-0.00937729,-0.00638357,-0.00349201,-0.000696547,0.00200862,0.00462898,0.00716976,0.00963591,0.0120321,0.0143627,0.016632,0.0188438,0.0210017,0.0231092,0.0251695,0.0271854,0.0291598,0.0310951,0.0329936,0.0348573,0.0366882,0.0384877,0.0402575,0.0419988,0.0437126,0.0453998,0.0470612,0.0486972,0.0503084,0.0518949,0.0534567,0.054994,0.0565064,0.0579936,0.0594554,0.0608911,0.0623003,0.0636821,0.0650361,0.0663613,0.067657,0.0689224,0.0701567,0.0713591,0.0725288,0.0736651,0.0747673,0.0758347,0.0768669,0.0778632,0.0788233,0.0797469,0.0806338,0.0814839,0.0822972,0.0830738,0.0838139,0.0845179,0.0851861,0.0858191,0.0864175,0.086982,0.0875134,0.0880124,0.0884799,0.088917,0.0893246,0.0897036,0.0900551,0.0903801,0.0906796,0.0909546,0.0912061,0.0914351,0.0916423,0.0918287,0.0919951,0.0921421,0.0922703,0.0923804,0.0924727,0.0925477,0.0926055,0.0926463,0.0926701,0.0926766,0.0926657,0.0926368,0.0925893,0.0925225,0.0924352,0.0923262,0.092194,0.0920369,0.0918528,0.0916394,0.0913938,0.0911131,0.0907936,0.0904313,0.0900216,0.0895595,0.0890391,0.0884539,0.0877967,0.0870591,0.086232,0.0853052,0.0842671,0.0831048,0.0818041,0.0803489,0.0787214,0.0769018,0.074868,0.0725956,0.0700575,0.0672234,0.0640603,0.0605314,0.0565962,0.0522097,0.047324,0.0418852,0.0358351,0.0291104,0.0216416,0.0133558,0.00417311,-0.00599137,-0.0172259,-0.0296272,-0.0432931,-0.0583229},
{-0.965337,-0.939056,-0.912961,-0.887067,-0.861386,-0.835932,-0.81072,-0.785764,-0.761079,-0.736681,-0.712586,-0.688808,-0.665364,-0.642268,-0.619536,-0.597182,-0.57522,-0.553665,-0.532528,-0.511822,-0.491557,-0.471744,-0.452392,-0.433509,-0.415101,-0.397174,-0.379731,-0.362777,-0.346312,-0.330337,-0.314851,-0.299853,-0.28534,-0.271306,-0.257748,-0.244658,-0.232031,-0.219857,-0.208129,-0.196837,-0.185971,-0.175521,-0.165476,-0.155825,-0.146556,-0.137657,-0.129117,-0.120923,-0.113063,-0.105524,-0.098296,-0.0913652,-0.08472,-0.0783485,-0.0722392,-0.0663806,-0.0607614,-0.0553706,-0.0501976,-0.0452318,-0.0404633,-0.0358821,-0.0314787,-0.027244,-0.023169,-0.0192453,-0.0154645,-0.0118188,-0.00830071,-0.00490286,-0.00161839,0.00155931,0.00463654,0.00761927,0.0105132,0.0133236,0.0160556,0.0187141,0.0213034,0.0238278,0.0262912,0.0286973,0.0310494,0.0333508,0.0356043,0.0378124,0.0399777,0.0421022,0.0441878,0.0462362,0.0482489,0.0502271,0.0521718,0.0540839,0.055964,0.0578126,0.0596299,0.0614161,0.0631712,0.0648949,0.0665871,0.0682472,0.0698748,0.0714693,0.07303,0.0745561,0.076047,0.0775018,0.0789196,0.0802999,0.0816416,0.0829441,0.0842068,0.0854289,0.0866099,0.0877494,0.0888469,0.0899023,0.0909152,0.0918857,0.0928139,0.0936998,0.0945439,0.0953464,0.096108,0.0968293,0.0975109,0.0981538,0.0987587,0.0993267,0.0998588,0.100356,0.10082,0.101251,0.10165,0.10202,0.10236,0.102673,0.102958,0.103218,0.103453,0.103665,0.103853,0.10402,0.104165,0.104289,0.104393,0.104478,0.104542,0.104588,0.104613,0.104619,0.104605,0.104571,0.104515,0.104437,0.104335,0.104209,0.104056,0.103874,0.103662,0.103415,0.103132,0.102808,0.10244,0.102023,0.101551,0.101019,0.10042,0.0997472,0.0989913,0.0981434,0.097193,0.0961282,0.094936,0.0936018,0.0921093,0.0904402,0.0885743,0.0864892,0.0841601,0.0815591,0.0786557,0.0754161,0.0718029,0.0677751,0.063287,0.0582897,0.052729,0.0465457,0.0396757,0.032049,0.0235919,0.0142237,0.00385915,-0.00759068,-0.0202227,-0.0341349,-0.0494269,-0.066204},
{-1.06145,-1.03454,-1.00778,-0.981172,-0.95473,-0.928466,-0.902393,-0.876522,-0.850868,-0.825445,-0.800267,-0.775349,-0.750707,-0.726356,-0.702311,-0.678587,-0.655201,-0.632168,-0.609501,-0.587217,-0.565328,-0.543848,-0.52279,-0.502165,-0.481984,-0.462256,-0.442991,-0.424195,-0.405874,-0.388035,-0.37068,-0.353811,-0.337431,-0.32154,-0.306135,-0.291215,-0.276777,-0.262815,-0.249324,-0.236297,-0.223728,-0.211608,-0.199929,-0.188679,-0.177851,-0.167432,-0.157412,-0.147779,-0.138523,-0.12963,-0.121088,-0.112887,-0.105012,-0.0974527,-0.0901962,-0.0832306,-0.0765437,-0.070124,-0.0639596,-0.0580392,-0.0523517,-0.0468862,-0.0416321,-0.0365791,-0.0317171,-0.0270364,-0.0225278,-0.0181821,-0.0139907,-0.00994514,-0.00603749,-0.00226005,0.00139454,0.00493328,0.00836284,0.0116895,0.0149194,0.0180581,0.021111,0.0240831,0.0269792,0.0298036,0.0325605,0.0352536,0.0378866,0.0404626,0.0429845,0.0454551,0.0478766,0.0502514,0.0525812,0.0548676,0.0571121,0.0593158,0.0614796,0.0636043,0.0656904,0.0677382,0.0697479,0.0717194,0.0736526,0.0755472,0.0774028,0.0792189,0.0809948,0.08273,0.0844236,0.0860749,0.0876831,0.0892475,0.0907673,0.0922418,0.0936702,0.0950521,0.0963868,0.0976739,0.0989131,0.100104,0.101247,0.102341,0.103388,0.104386,0.105337,0.106241,0.107099,0.107911,0.108678,0.109402,0.110083,0.110722,0.111321,0.111881,0.112402,0.112887,0.113337,0.113753,0.114137,0.114489,0.114811,0.115104,0.11537,0.115609,0.115823,0.116012,0.116177,0.116319,0.116439,0.116536,0.116613,0.116667,0.116701,0.116712,0.116702,0.116669,0.116614,0.116533,0.116428,0.116296,0.116134,0.115942,0.115717,0.115455,0.115154,0.114809,0.114417,0.113972,0.113469,0.112901,0.112262,0.111544,0.110737,0.109832,0.108817,0.107681,0.106409,0.104985,0.103393,0.101613,0.0996236,0.0974013,0.0949196,0.0921493,0.0890581,0.0856104,0.0817668,0.0774843,0.0727148,0.0674074,0.061505,0.0549462,0.0476642,0.0395863,0.0306361,0.0207306,0.00978198,-0.00230042,-0.0156157,-0.0302629,-0.0463418,-0.0639582},
{-1.15003,-1.12268,-1.09543,-1.06831,-1.04132,-1.01446,-0.987758,-0.961215,-0.934845,-0.908659,-0.882671,-0.856894,-0.831343,-0.80603,-0.780972,-0.756183,-0.731678,-0.707474,-0.683585,-0.660027,-0.636815,-0.613965,-0.59149,-0.569405,-0.547724,-0.52646,-0.505623,-0.485225,-0.465276,-0.445786,-0.42676,-0.408208,-0.390132,-0.372539,-0.35543,-0.338807,-0.322671,-0.30702,-0.291853,-0.277167,-0.262957,-0.249217,-0.235942,-0.223125,-0.210757,-0.19883,-0.187334,-0.17626,-0.165596,-0.155333,-0.145458,-0.135959,-0.126826,-0.118046,-0.109606,-0.101495,-0.0937,-0.086209,-0.0790099,-0.0720906,-0.0654393,-0.0590443,-0.0528941,-0.0469775,-0.0412836,-0.0358017,-0.0305215,-0.0254328,-0.020526,-0.0157917,-0.0112208,-0.00680457,-0.00253474,0.00159671,0.00559744,0.00947472,0.0132355,0.0168863,0.0204334,0.0238827,0.0272397,0.0305095,0.033697,0.0368068,0.039843,0.0428094,0.0457097,0.048547,0.0513242,0.054044,0.0567087,0.0593204,0.0618807,0.0643913,0.0668534,0.069268,0.0716359,0.0739577,0.0762337,0.0784641,0.0806488,0.0827879,0.0848809,0.0869274,0.088927,0.0908789,0.0927827,0.0946375,0.0964427,0.0981974,0.0999011,0.101553,0.103152,0.104699,0.106191,0.10763,0.109015,0.110345,0.111621,0.112843,0.11401,0.115124,0.116184,0.117192,0.118147,0.119052,0.119907,0.120712,0.12147,0.122182,0.122848,0.123471,0.124051,0.124591,0.125091,0.125554,0.12598,0.126371,0.126729,0.127055,0.127349,0.127615,0.127852,0.128061,0.128244,0.128402,0.128534,0.128642,0.128726,0.128786,0.128822,0.128834,0.128821,0.128783,0.12872,0.128629,0.12851,0.128361,0.12818,0.127964,0.127711,0.127417,0.127079,0.126692,0.126253,0.125754,0.12519,0.124555,0.123839,0.123035,0.122133,0.12112,0.119986,0.118716,0.117295,0.115705,0.113928,0.111941,0.109723,0.107245,0.10448,0.101396,0.0979556,0.0941214,0.0898501,0.0850942,0.0798029,0.0739196,0.0673835,0.0601281,0.0520815,0.0431677,0.0333043,0.0224044,0.0103774,-0.00287441,-0.0174497,-0.0334482,-0.0509744,-0.0701288},
{-1.23199,-1.2043,-1.1767,-1.14919,-1.12179,-1.0945,-1.06732,-1.04028,-1.01337,-0.986609,-0.960009,-0.93358,-0.907333,-0.881282,-0.855441,-0.829823,-0.804442,-0.779313,-0.754451,-0.729872,-0.705592,-0.681624,-0.657986,-0.634692,-0.611758,-0.589197,-0.567025,-0.545253,-0.523896,-0.502966,-0.482472,-0.462425,-0.442835,-0.423708,-0.405051,-0.38687,-0.369169,-0.35195,-0.335216,-0.318966,-0.3032,-0.287915,-0.273109,-0.258777,-0.244914,-0.231514,-0.218569,-0.206071,-0.194012,-0.182382,-0.171171,-0.160369,-0.149965,-0.139947,-0.130303,-0.121023,-0.112092,-0.103501,-0.0952348,-0.087283,-0.0796327,-0.072272,-0.0651887,-0.058371,-0.0518072,-0.045486,-0.0393962,-0.0335268,-0.0278672,-0.0224072,-0.0171368,-0.0120463,-0.00712654,-0.00236848,0.00223639,0.00669628,0.011019,0.015212,0.0192824,0.0232369,0.0270818,0.030823,0.0344662,0.0380166,0.041479,0.044858,0.0481577,0.0513818,0.054534,0.0576172,0.0606344,0.063588,0.0664802,0.069313,0.0720878,0.074806,0.0774688,0.0800769,0.082631,0.0851314,0.0875783,0.0899718,0.0923117,0.0945977,0.0968294,0.0990063,0.101128,0.103193,0.105202,0.107154,0.109047,0.110882,0.112658,0.114374,0.116029,0.117625,0.119159,0.120633,0.122045,0.123397,0.124689,0.125921,0.127094,0.128208,0.129265,0.130264,0.131209,0.132099,0.132936,0.133722,0.134458,0.135146,0.135787,0.136383,0.136935,0.137446,0.137917,0.138349,0.138745,0.139105,0.139432,0.139726,0.139988,0.140221,0.140425,0.1406,0.140748,0.14087,0.140965,0.141034,0.141077,0.141094,0.141084,0.141048,0.140983,0.140889,0.140765,0.140608,0.140417,0.140188,0.13992,0.139608,0.139249,0.138838,0.13837,0.13784,0.13724,0.136563,0.135802,0.134946,0.133985,0.132908,0.131701,0.130349,0.128837,0.127146,0.125257,0.123145,0.120788,0.118156,0.11522,0.111946,0.108296,0.10423,0.0997023,0.094664,0.0890617,0.0828366,0.0759251,0.0682584,0.0597628,0.0503591,0.039963,0.0284861,0.0158337,0.00190907,-0.0133882,-0.0301575,-0.0485032,-0.0685241},
{-1.30813,-1.28018,-1.25231,-1.22451,-1.1968,-1.16917,-1.14164,-1.11421,-1.08689,-1.05969,-1.03262,-1.00569,-0.978905,-0.952283,-0.925832,-0.899565,-0.873494,-0.847635,-0.822,-0.796603,-0.771461,-0.746587,-0.721998,-0.697708,-0.673733,-0.650089,-0.626791,-0.603854,-0.581292,-0.559119,-0.537348,-0.515993,-0.495064,-0.474573,-0.454529,-0.434941,-0.415817,-0.397162,-0.378981,-0.361279,-0.344059,-0.32732,-0.311064,-0.295289,-0.279993,-0.265172,-0.250823,-0.236938,-0.223512,-0.210538,-0.198007,-0.18591,-0.174238,-0.16298,-0.152126,-0.141664,-0.131584,-0.121873,-0.11252,-0.103512,-0.0948375,-0.0864836,-0.0784384,-0.0706895,-0.0632249,-0.0560327,-0.0491012,-0.0424186,-0.0359738,-0.0297558,-0.0237536,-0.017957,-0.0123558,-0.00694027,-0.00170096,0.00337116,0.00828473,0.0130481,0.017669,0.0221552,0.0265136,0.0307509,0.0348736,0.0388876,0.0427984,0.0466111,0.0503306,0.0539612,0.057507,0.0609716,0.0643584,0.0676703,0.07091,0.0740797,0.0771814,0.0802168,0.0831872,0.0860939,0.0889376,0.0917191,0.0944386,0.0970964,0.0996925,0.102227,0.104699,0.107109,0.109455,0.111739,0.113958,0.116112,0.118202,0.120225,0.122182,0.124073,0.125896,0.127651,0.12934,0.13096,0.132513,0.133999,0.135418,0.136771,0.138059,0.139282,0.140441,0.141538,0.142574,0.14355,0.144468,0.145329,0.146136,0.146889,0.147592,0.148244,0.148849,0.149409,0.149924,0.150398,0.15083,0.151225,0.151582,0.151903,0.15219,0.152444,0.152667,0.152858,0.15302,0.153152,0.153255,0.15333,0.153376,0.153393,0.153381,0.15334,0.153268,0.153163,0.153025,0.152852,0.15264,0.152388,0.152092,0.151748,0.151352,0.150899,0.150384,0.1498,0.149139,0.148394,0.147556,0.146615,0.145558,0.144374,0.143047,0.141563,0.139902,0.138046,0.135973,0.133657,0.131072,0.128189,0.124974,0.12139,0.117398,0.112953,0.108008,0.102509,0.0963999,0.0896176,0.0820949,0.0737586,0.0645318,0.0543312,0.043069,0.0306541,0.0169886,0.00197411,-0.014489,-0.0325038,-0.0521696,-0.0735837},
{-1.37915,-1.351,-1.32292,-1.29489,-1.26693,-1.23904,-1.21123,-1.18351,-1.15587,-1.12833,-1.10089,-1.07357,-1.04636,-1.01929,-0.99236,-0.965581,-0.938965,-0.912523,-0.88627,-0.860217,-0.834379,-0.808769,-0.783403,-0.758295,-0.73346,-0.708914,-0.684673,-0.660751,-0.637165,-0.613928,-0.591057,-0.568565,-0.546466,-0.524773,-0.503498,-0.482653,-0.462247,-0.44229,-0.422791,-0.403755,-0.38519,-0.367099,-0.349485,-0.332351,-0.315697,-0.299523,-0.283827,-0.268607,-0.253858,-0.239575,-0.225752,-0.212383,-0.199459,-0.186973,-0.174914,-0.163273,-0.15204,-0.141203,-0.130752,-0.120674,-0.110958,-0.101592,-0.0925639,-0.0838611,-0.0754715,-0.0673829,-0.0595832,-0.0520604,-0.0448027,-0.0377986,-0.0310366,-0.0245056,-0.0181949,-0.0120939,-0.00619263,-0.000481135,0.00504996,0.0104097,0.0156068,0.0206494,0.0255456,0.0303026,0.0349276,0.0394271,0.0438075,0.0480745,0.0522335,0.0562896,0.0602473,0.0641108,0.067884,0.0715703,0.0751728,0.0786941,0.0821368,0.0855027,0.0887936,0.092011,0.095156,0.0982295,0.101232,0.104164,0.107026,0.109817,0.112539,0.115189,0.117769,0.120277,0.122713,0.125078,0.127369,0.129586,0.13173,0.1338,0.135796,0.137717,0.139563,0.141335,0.143032,0.144655,0.146205,0.147682,0.149088,0.150422,0.151687,0.152884,0.154014,0.155078,0.156079,0.157019,0.157898,0.158719,0.159485,0.160196,0.160856,0.161466,0.162028,0.162544,0.163016,0.163447,0.163836,0.164188,0.164502,0.16478,0.165024,0.165234,0.165413,0.165559,0.165674,0.165759,0.165813,0.165836,0.165827,0.165787,0.165714,0.165607,0.165464,0.165284,0.165063,0.164798,0.164487,0.164126,0.163709,0.163233,0.16269,0.162074,0.161378,0.160593,0.15971,0.158718,0.157604,0.156356,0.154959,0.153395,0.151647,0.149693,0.14751,0.145074,0.142355,0.139323,0.135943,0.132178,0.127986,0.12332,0.118131,0.112365,0.105962,0.0988585,0.0909843,0.0822645,0.0726204,0.0619669,0.0502145,0.0372712,0.0230378,0.00741538,-0.0096953,-0.0283969,-0.0487867,-0.07096},
{-1.44565,-1.41735,-1.38909,-1.36088,-1.33273,-1.30464,-1.2766,-1.24864,-1.22075,-1.19293,-1.1652,-1.13757,-1.11003,-1.0826,-1.05529,-1.0281,-1.00105,-0.974139,-0.947387,-0.920804,-0.894401,-0.868192,-0.84219,-0.816408,-0.790862,-0.765566,-0.740535,-0.715785,-0.691331,-0.667189,-0.643373,-0.6199,-0.596784,-0.57404,-0.55168,-0.52972,-0.508171,-0.487045,-0.466353,-0.446104,-0.426306,-0.406969,-0.388096,-0.369694,-0.351767,-0.334316,-0.317343,-0.300848,-0.284829,-0.269285,-0.254212,-0.239604,-0.225457,-0.211764,-0.198517,-0.185708,-0.173329,-0.161369,-0.149818,-0.138665,-0.127901,-0.117512,-0.107487,-0.0978144,-0.0884821,-0.0794777,-0.0707892,-0.0624042,-0.0543108,-0.046497,-0.038951,-0.0316613,-0.0246164,-0.0178053,-0.0112172,-0.00484177,0.00133118,0.00731137,0.0131082,0.0187305,0.024187,0.0294857,0.0346345,0.0396406,0.0445108,0.0492517,0.0538692,0.058369,0.0627562,0.0670356,0.0712114,0.0752877,0.079268,0.0831553,0.0869526,0.0906621,0.0942861,0.0978261,0.101284,0.10466,0.107956,0.111172,0.114309,0.117366,0.120345,0.123244,0.126064,0.128804,0.131465,0.134044,0.136543,0.138961,0.141297,0.143551,0.145724,0.147814,0.149822,0.151749,0.153594,0.155358,0.157041,0.158646,0.160171,0.16162,0.162993,0.164291,0.165516,0.16667,0.167756,0.168774,0.169727,0.170616,0.171446,0.172216,0.172931,0.173591,0.174199,0.174758,0.175269,0.175734,0.176155,0.176534,0.176874,0.177174,0.177437,0.177663,0.177855,0.178012,0.178135,0.178224,0.17828,0.178303,0.178291,0.178245,0.178163,0.178043,0.177885,0.177685,0.177441,0.177149,0.176807,0.17641,0.175952,0.175428,0.174833,0.174157,0.173394,0.172533,0.171566,0.170479,0.16926,0.167894,0.166365,0.164655,0.162743,0.160608,0.158224,0.155565,0.152598,0.149292,0.145609,0.141508,0.136945,0.13187,0.126231,0.11997,0.113024,0.105324,0.0967979,0.0873676,0.0769498,0.0654566,0.0527968,0.0388731,0.0235875,0.00683949,-0.0114689,-0.0314394,-0.0531654,-0.0767371},
{-1.50815,-1.47972,-1.45132,-1.42297,-1.39466,-1.36639,-1.33818,-1.31002,-1.28192,-1.25389,-1.22593,-1.19804,-1.17023,-1.14251,-1.11489,-1.08737,-1.05996,-1.03268,-1.00552,-0.978506,-0.951642,-0.924941,-0.898415,-0.872077,-0.845941,-0.82002,-0.794329,-0.768882,-0.743694,-0.718781,-0.694158,-0.66984,-0.645844,-0.622184,-0.598875,-0.575932,-0.553369,-0.531199,-0.509436,-0.48809,-0.467173,-0.446695,-0.426665,-0.40709,-0.387977,-0.369331,-0.351156,-0.333455,-0.316229,-0.299479,-0.283204,-0.267402,-0.252068,-0.2372,-0.222791,-0.208835,-0.195325,-0.182253,-0.16961,-0.157386,-0.145572,-0.134156,-0.123128,-0.112477,-0.10219,-0.0922568,-0.0826641,-0.0734002,-0.0644529,-0.0558103,-0.0474602,-0.0393908,-0.0315903,-0.0240474,-0.0167507,-0.00968922,-0.00285237,0.0037702,0.0101885,0.016412,0.02245,0.0283112,0.0340041,0.0395365,0.0449159,0.0501495,0.0552438,0.0602049,0.0650387,0.0697504,0.0743448,0.0788264,0.0831992,0.0874667,0.0916321,0.0956983,0.0996676,0.103542,0.107324,0.111014,0.114613,0.118123,0.121544,0.124877,0.128121,0.131277,0.134345,0.137325,0.140216,0.143018,0.145731,0.148354,0.150888,0.153332,0.155686,0.15795,0.160125,0.162211,0.164207,0.166116,0.167937,0.169671,0.171321,0.172886,0.174369,0.175772,0.177095,0.178342,0.179514,0.180613,0.181642,0.182603,0.183498,0.18433,0.185101,0.185814,0.18647,0.187073,0.187625,0.188128,0.188583,0.188993,0.18936,0.189685,0.18997,0.190217,0.190425,0.190596,0.190732,0.190831,0.190895,0.190923,0.190914,0.190869,0.190786,0.190663,0.190498,0.19029,0.190035,0.189731,0.189372,0.188955,0.188475,0.187925,0.1873,0.18659,0.185788,0.184885,0.183868,0.182727,0.181446,0.180012,0.178407,0.176612,0.174607,0.172367,0.169867,0.167079,0.16397,0.160507,0.15665,0.152357,0.147583,0.142277,0.136383,0.129843,0.122591,0.114558,0.105669,0.0958441,0.0849987,0.0730435,0.0598863,0.0454288,0.0295728,0.0122193,-0.00673262,-0.0273793,-0.0498142,-0.0741205},
{-1.56708,-1.53854,-1.51003,-1.48156,-1.45312,-1.42471,-1.39635,-1.36803,-1.33977,-1.31155,-1.28339,-1.2553,-1.22727,-1.19931,-1.17144,-1.14365,-1.11595,-1.08835,-1.06086,-1.03349,-1.00625,-0.979139,-0.952179,-0.92538,-0.898752,-0.872308,-0.846062,-0.820028,-0.794218,-0.76865,-0.743336,-0.718294,-0.693537,-0.669082,-0.644944,-0.621138,-0.597679,-0.574583,-0.551862,-0.529531,-0.507602,-0.486088,-0.464999,-0.444346,-0.424137,-0.40438,-0.385082,-0.366248,-0.347883,-0.329988,-0.312567,-0.295619,-0.279144,-0.263139,-0.247602,-0.232527,-0.21791,-0.203745,-0.190024,-0.176739,-0.163882,-0.151443,-0.139412,-0.127779,-0.116533,-0.105662,-0.0951547,-0.0849998,-0.0751852,-0.0656986,-0.0565283,-0.0476621,-0.0390882,-0.0307948,-0.0227703,-0.0150034,-0.00748304,-0.000198342,0.00686113,0.0137055,0.0203445,0.0267875,0.0330434,0.0391208,0.0450277,0.0507718,0.0563601,0.0617996,0.0670963,0.0722561,0.0772844,0.0821861,0.0869656,0.0916269,0.0961737,0.100609,0.104936,0.109157,0.113273,0.117287,0.121201,0.125014,0.128729,0.132345,0.135863,0.139284,0.142608,0.145833,0.148962,0.151992,0.154925,0.15776,0.160496,0.163135,0.165675,0.168118,0.170463,0.172711,0.174863,0.176919,0.17888,0.180748,0.182523,0.184208,0.185804,0.187312,0.188735,0.190076,0.191335,0.192517,0.193622,0.194654,0.195615,0.196508,0.197336,0.198101,0.198805,0.199452,0.200043,0.200582,0.201069,0.201508,0.2019,0.202247,0.202551,0.202813,0.203034,0.203215,0.203356,0.203459,0.203524,0.203549,0.203535,0.203481,0.203385,0.203246,0.203062,0.20283,0.202547,0.20221,0.201814,0.201354,0.200824,0.200219,0.19953,0.19875,0.197869,0.196877,0.195761,0.194508,0.193104,0.191532,0.189773,0.187808,0.185612,0.183162,0.180429,0.177382,0.173986,0.170206,0.165999,0.16132,0.15612,0.150345,0.143937,0.136832,0.128963,0.120254,0.110629,0.100004,0.0882906,0.0753983,0.0612302,0.0456888,0.0286744,0.0100895,-0.0101654,-0.0321827,-0.0560503,-0.0818434},
{-1.62282,-1.59419,-1.56558,-1.537,-1.50845,-1.47993,-1.45145,-1.423,-1.39459,-1.36622,-1.3379,-1.30964,-1.28142,-1.25327,-1.22518,-1.19717,-1.16923,-1.14137,-1.1136,-1.08594,-1.05837,-1.03093,-1.00361,-0.97642,-0.94938,-0.922497,-0.895783,-0.869251,-0.842915,-0.816787,-0.790883,-0.765217,-0.739804,-0.714659,-0.689798,-0.665236,-0.640988,-0.617071,-0.593499,-0.570286,-0.547447,-0.524996,-0.502944,-0.481304,-0.460088,-0.439304,-0.418963,-0.399071,-0.379636,-0.360663,-0.342156,-0.324117,-0.306549,-0.289452,-0.272826,-0.256667,-0.240973,-0.225739,-0.210961,-0.196632,-0.182745,-0.169292,-0.156263,-0.143651,-0.131445,-0.119634,-0.108207,-0.0971539,-0.0864625,-0.0761212,-0.0661182,-0.0564416,-0.0470795,-0.0380201,-0.0292516,-0.0207624,-0.0125411,-0.00457666,0.00314185,0.010625,0.0178829,0.0249255,0.0317622,0.038402,0.0448535,0.051125,0.0572239,0.0631578,0.0689331,0.0745564,0.0800335,0.0853696,0.0905697,0.0956382,0.100579,0.105396,0.110093,0.114671,0.119133,0.123482,0.127719,0.131846,0.135863,0.139772,0.143573,0.147266,0.150852,0.154331,0.157703,0.160969,0.164127,0.167179,0.170124,0.172962,0.175694,0.178319,0.180839,0.183254,0.185564,0.187771,0.189876,0.191879,0.193783,0.19559,0.1973,0.198917,0.200442,0.201877,0.203226,0.204491,0.205674,0.206778,0.207806,0.208761,0.209646,0.210463,0.211215,0.211906,0.212536,0.21311,0.213629,0.214096,0.214512,0.21488,0.215201,0.215476,0.215708,0.215896,0.216041,0.216145,0.216206,0.216225,0.216201,0.216133,0.216019,0.215858,0.215647,0.215384,0.215064,0.214684,0.21424,0.213725,0.213133,0.212457,0.211689,0.21082,0.209839,0.208735,0.207495,0.206104,0.204545,0.202801,0.200851,0.198672,0.196241,0.193529,0.190505,0.187137,0.183387,0.179214,0.174573,0.169417,0.163692,0.15734,0.150298,0.1425,0.133872,0.124336,0.113812,0.102211,0.0894433,0.0754143,0.0600252,0.043178,0.024775,0.0047172,-0.017088,-0.040729,-0.0662824,-0.0938151},
{-1.67568,-1.64697,-1.61829,-1.58962,-1.56098,-1.53236,-1.50377,-1.4752,-1.44668,-1.41818,-1.38973,-1.36131,-1.33294,-1.30462,-1.27636,-1.24815,-1.22001,-1.19193,-1.16393,-1.13602,-1.10819,-1.08046,-1.05283,-1.02532,-0.99793,-0.970675,-0.943564,-0.916609,-0.889823,-0.863217,-0.836806,-0.810603,-0.784623,-0.758879,-0.733388,-0.708164,-0.683223,-0.65858,-0.634251,-0.610252,-0.586597,-0.5633,-0.540376,-0.517838,-0.4957,-0.473972,-0.452666,-0.431791,-0.411357,-0.391371,-0.37184,-0.352769,-0.334162,-0.316021,-0.298349,-0.281145,-0.264408,-0.248137,-0.232328,-0.216977,-0.202077,-0.187624,-0.173609,-0.160025,-0.146863,-0.134114,-0.121767,-0.109812,-0.0982391,-0.0870359,-0.0761915,-0.0656942,-0.0555323,-0.0456941,-0.0361679,-0.026942,-0.0180048,-0.00934502,-0.000951511,0.0071866,0.0150799,0.0227385,0.0301724,0.0373911,0.0444035,0.0512183,0.0578437,0.0642874,0.0705567,0.0766582,0.0825984,0.088383,0.0940174,0.0995064,0.104854,0.110066,0.115143,0.12009,0.12491,0.129604,0.134176,0.138625,0.142954,0.147164,0.151256,0.15523,0.159087,0.162827,0.16645,0.169957,0.173348,0.176623,0.179782,0.182826,0.185754,0.188567,0.191267,0.193853,0.196326,0.198689,0.200941,0.203085,0.205122,0.207053,0.208883,0.210611,0.212241,0.213776,0.215218,0.21657,0.217834,0.219014,0.220114,0.221135,0.222081,0.222955,0.22376,0.224499,0.225174,0.225789,0.226346,0.226848,0.227296,0.227692,0.22804,0.228339,0.228591,0.228799,0.228961,0.22908,0.229154,0.229185,0.22917,0.22911,0.229003,0.228847,0.22864,0.228378,0.228059,0.227679,0.227232,0.226713,0.226116,0.225434,0.224658,0.223779,0.222787,0.22167,0.220414,0.219005,0.217427,0.215661,0.213687,0.211482,0.209021,0.206276,0.203217,0.199809,0.196016,0.191796,0.187105,0.181894,0.176108,0.169692,0.162581,0.154708,0.146,0.13638,0.125766,0.11407,0.101201,0.0870664,0.0715673,0.0546057,0.0360843,0.0159051,-0.0060242,-0.0297911,-0.0554715,-0.0831313},
{-1.72594,-1.69717,-1.66841,-1.63967,-1.61094,-1.58224,-1.55356,-1.5249,-1.49627,-1.46767,-1.4391,-1.41056,-1.38206,-1.35359,-1.32518,-1.29681,-1.26849,-1.24023,-1.21203,-1.18391,-1.15585,-1.12788,-1.09999,-1.0722,-1.04451,-1.01694,-0.989492,-0.962175,-0.935003,-0.907987,-0.881139,-0.854473,-0.828,-0.801736,-0.775695,-0.749891,-0.72434,-0.699057,-0.674057,-0.649356,-0.62497,-0.600914,-0.577202,-0.553849,-0.530869,-0.508275,-0.486081,-0.464297,-0.442934,-0.422003,-0.401511,-0.381466,-0.361874,-0.342741,-0.32407,-0.305864,-0.288123,-0.270849,-0.254039,-0.237691,-0.221802,-0.206368,-0.191382,-0.176839,-0.16273,-0.149049,-0.135785,-0.12293,-0.110473,-0.0984044,-0.0867132,-0.0753882,-0.0644181,-0.0537914,-0.0434966,-0.033522,-0.0238562,-0.0144877,-0.00540531,0.00340213,0.0119454,0.020235,0.0282811,0.0360936,0.0436819,0.0510551,0.0582217,0.0651899,0.0719673,0.0785612,0.0849783,0.0912248,0.0973064,0.103229,0.108996,0.114613,0.120083,0.125411,0.130598,0.135648,0.140563,0.145344,0.149994,0.154514,0.158905,0.163168,0.167303,0.17131,0.175192,0.178947,0.182576,0.18608,0.189459,0.192712,0.195842,0.198848,0.201731,0.204492,0.207133,0.209654,0.212057,0.214344,0.216516,0.218576,0.220526,0.222368,0.224105,0.225741,0.227277,0.228717,0.230064,0.231321,0.232492,0.233579,0.234587,0.235517,0.236375,0.237162,0.237881,0.238537,0.23913,0.239665,0.240142,0.240566,0.240936,0.241256,0.241527,0.241749,0.241924,0.242053,0.242135,0.24217,0.242159,0.242099,0.241989,0.241828,0.241614,0.241342,0.24101,0.240614,0.240148,0.239606,0.238983,0.238271,0.237461,0.236543,0.235507,0.23434,0.233029,0.231559,0.229912,0.228069,0.22601,0.22371,0.221144,0.218284,0.215096,0.211547,0.207598,0.203207,0.198328,0.19291,0.186899,0.180235,0.172853,0.164686,0.155659,0.145692,0.134703,0.122603,0.1093,0.0947016,0.0787072,0.06122,0.0421434,0.0213807,-0.00115796,-0.0255575,-0.0518898,-0.0802163},
{-1.77384,-1.74501,-1.71619,-1.68738,-1.65859,-1.62981,-1.60105,-1.57231,-1.54359,-1.5149,-1.48622,-1.45758,-1.42896,-1.40038,-1.37183,-1.34332,-1.31486,-1.28644,-1.25807,-1.22976,-1.20151,-1.17333,-1.14522,-1.11719,-1.08925,-1.0614,-1.03366,-1.00603,-0.978528,-0.951157,-0.923932,-0.896862,-0.869962,-0.843244,-0.816722,-0.79041,-0.764321,-0.738472,-0.712877,-0.687552,-0.662513,-0.637774,-0.613351,-0.58926,-0.565514,-0.54213,-0.519119,-0.496496,-0.474273,-0.452461,-0.431071,-0.410112,-0.389592,-0.369519,-0.349898,-0.330734,-0.312031,-0.293791,-0.276014,-0.2587,-0.241848,-0.225455,-0.209518,-0.194031,-0.178989,-0.164385,-0.150211,-0.13646,-0.123122,-0.110188,-0.0976479,-0.0854913,-0.0737074,-0.0622851,-0.0512134,-0.0404807,-0.0300759,-0.0199874,-0.0102041,-0.000714775,0.00849148,0.0174254,0.0260974,0.0345175,0.0426956,0.050641,0.0583626,0.065869,0.0731681,0.0802677,0.0871748,0.093896,0.100438,0.106805,0.113003,0.119038,0.124912,0.13063,0.136196,0.141611,0.146879,0.152002,0.156982,0.16182,0.166518,0.171077,0.175497,0.17978,0.183925,0.187935,0.191808,0.195546,0.19915,0.202619,0.205954,0.209157,0.212227,0.215167,0.217978,0.220661,0.223217,0.225649,0.227959,0.230149,0.232221,0.234179,0.236024,0.237761,0.239392,0.240921,0.24235,0.243684,0.244925,0.246078,0.247146,0.248132,0.24904,0.249872,0.250633,0.251325,0.251952,0.252515,0.253017,0.253461,0.253849,0.254183,0.254463,0.254692,0.25487,0.254997,0.255074,0.2551,0.255075,0.254998,0.254867,0.25468,0.254433,0.254125,0.25375,0.253304,0.252782,0.252177,0.251482,0.250689,0.249787,0.248768,0.247618,0.246324,0.244871,0.243243,0.241421,0.239383,0.237107,0.234568,0.231736,0.228581,0.225068,0.22116,0.216814,0.211986,0.206626,0.200679,0.194088,0.186788,0.178713,0.169788,0.159935,0.149073,0.137113,0.123966,0.109538,0.093731,0.076448,0.0575925,0.0370683,0.0147847,-0.00934364,-0.0353905,-0.0634193,-0.0934801},
{-1.81958,-1.7907,-1.76183,-1.73296,-1.70411,-1.67527,-1.64645,-1.61763,-1.58884,-1.56006,-1.5313,-1.50256,-1.47384,-1.44515,-1.41649,-1.38786,-1.35926,-1.33071,-1.30219,-1.27372,-1.2453,-1.21694,-1.18864,-1.1604,-1.13224,-1.10416,-1.07617,-1.04827,-1.02048,-0.992796,-0.965242,-0.937822,-0.910548,-0.883433,-0.856489,-0.829729,-0.803167,-0.776817,-0.750694,-0.724813,-0.699189,-0.673837,-0.648774,-0.624014,-0.599574,-0.575467,-0.551709,-0.528314,-0.505296,-0.482667,-0.46044,-0.438625,-0.417233,-0.396272,-0.375751,-0.355676,-0.336053,-0.316887,-0.298179,-0.279931,-0.262146,-0.24482,-0.227953,-0.211542,-0.195582,-0.180069,-0.164996,-0.150357,-0.136143,-0.122347,-0.108959,-0.0959693,-0.0833687,-0.0711464,-0.0592918,-0.0477938,-0.0366416,-0.0258238,-0.0153293,-0.00514723,0.00473355,0.0143238,0.023634,0.0326745,0.0414552,0.0499858,0.0582755,0.0663331,0.0741669,0.081785,0.0891948,0.0964032,0.103417,0.110241,0.116883,0.123346,0.129635,0.135755,0.141709,0.1475,0.153131,0.158605,0.163923,0.169088,0.174101,0.178964,0.183677,0.188242,0.192659,0.196929,0.201053,0.205032,0.208865,0.212555,0.216101,0.219505,0.222769,0.225892,0.228877,0.231725,0.234439,0.23702,0.239471,0.241794,0.243992,0.246068,0.248024,0.249865,0.251594,0.253214,0.254728,0.256141,0.257456,0.258676,0.259807,0.26085,0.261811,0.262692,0.263496,0.264228,0.26489,0.265485,0.266015,0.266483,0.266892,0.267243,0.267537,0.267777,0.267962,0.268093,0.268171,0.268195,0.268164,0.268078,0.267934,0.26773,0.267463,0.267129,0.266725,0.266245,0.265683,0.265033,0.264287,0.263435,0.262468,0.261375,0.260143,0.258758,0.257202,0.25546,0.253511,0.251333,0.248901,0.246188,0.243165,0.239799,0.236053,0.231888,0.227259,0.22212,0.216417,0.210096,0.203094,0.195347,0.186783,0.177327,0.166898,0.155413,0.142781,0.128911,0.113708,0.0970751,0.0789145,0.0591316,0.0376323,0.0143297,-0.0108567,-0.0379939,-0.0671373,-0.0983286},
{-1.86335,-1.83442,-1.80551,-1.7766,-1.74769,-1.7188,-1.68991,-1.66103,-1.63217,-1.60332,-1.57448,-1.54566,-1.51685,-1.48807,-1.45931,-1.43057,-1.40186,-1.37319,-1.34454,-1.31593,-1.28737,-1.25885,-1.23038,-1.20196,-1.17361,-1.14532,-1.1171,-1.08897,-1.06092,-1.03298,-1.00513,-0.977407,-0.949806,-0.922342,-0.895027,-0.867872,-0.84089,-0.814096,-0.787503,-0.761126,-0.734979,-0.709078,-0.683437,-0.658073,-0.633001,-0.608237,-0.583796,-0.559692,-0.53594,-0.512555,-0.489549,-0.466936,-0.444725,-0.42293,-0.401558,-0.38062,-0.360121,-0.340068,-0.320467,-0.301321,-0.282633,-0.264403,-0.246632,-0.229319,-0.21246,-0.196054,-0.180095,-0.164578,-0.149497,-0.134844,-0.120611,-0.106791,-0.0933734,-0.0803491,-0.067708,-0.0554397,-0.0435337,-0.0319792,-0.0207654,-0.00988123,0.000684003,0.0109411,0.0209005,0.0305728,0.0399679,0.0490957,0.0579655,0.0665865,0.0749672,0.0831159,0.0910404,0.0987479,0.106245,0.113539,0.120634,0.127537,0.134252,0.140784,0.147136,0.153312,0.159316,0.16515,0.170816,0.176316,0.181653,0.186827,0.191841,0.196695,0.20139,0.205927,0.210308,0.214533,0.218602,0.222517,0.22628,0.22989,0.23335,0.236661,0.239824,0.242842,0.245717,0.24845,0.251045,0.253504,0.25583,0.258027,0.260097,0.262044,0.263872,0.265585,0.267185,0.268679,0.270068,0.271358,0.272552,0.273654,0.274669,0.275598,0.276447,0.277219,0.277917,0.278543,0.279102,0.279595,0.280024,0.280392,0.2807,0.280949,0.281141,0.281276,0.281354,0.281375,0.281337,0.28124,0.281082,0.280859,0.28057,0.280209,0.279773,0.279256,0.278652,0.277953,0.277152,0.276238,0.275201,0.27403,0.27271,0.271227,0.269562,0.267699,0.265615,0.263287,0.26069,0.257794,0.254569,0.250979,0.246987,0.24255,0.237622,0.232155,0.226093,0.219378,0.211947,0.20373,0.194656,0.184645,0.173616,0.161482,0.148153,0.133535,0.117532,0.100048,0.080986,0.0602536,0.0377593,0.0134208,-0.0128371,-0.0410735,-0.0713379,-0.103656},
{-1.90531,-1.87635,-1.84739,-1.81843,-1.78948,-1.76054,-1.7316,-1.70266,-1.67374,-1.64482,-1.61592,-1.58702,-1.55814,-1.52928,-1.50043,-1.4716,-1.44279,-1.414,-1.38525,-1.35652,-1.32782,-1.29916,-1.27054,-1.24197,-1.21344,-1.18497,-1.15657,-1.12822,-1.09996,-1.07177,-1.04368,-1.01568,-0.987789,-0.960017,-0.932373,-0.904868,-0.877515,-0.850326,-0.823314,-0.796494,-0.769878,-0.743483,-0.717322,-0.691411,-0.665767,-0.640403,-0.615337,-0.590583,-0.566156,-0.542071,-0.518343,-0.494985,-0.472011,-0.449431,-0.427258,-0.405502,-0.384172,-0.363275,-0.34282,-0.322811,-0.303253,-0.284149,-0.2655,-0.247309,-0.229574,-0.212293,-0.195464,-0.179083,-0.163144,-0.147643,-0.132572,-0.117925,-0.103692,-0.089866,-0.076437,-0.0633955,-0.0507315,-0.0384348,-0.0264948,-0.0149011,-0.00364294,0.00729013,0.0179086,0.0282229,0.0382431,0.047979,0.0574402,0.0666359,0.075575,0.0842659,0.0927166,0.100935,0.108927,0.116701,0.124261,0.131615,0.138766,0.14572,0.152481,0.159052,0.165438,0.17164,0.177662,0.183507,0.189175,0.194669,0.199991,0.205141,0.210121,0.214932,0.219576,0.224053,0.228364,0.232511,0.236494,0.240316,0.243977,0.24748,0.250826,0.254018,0.257057,0.259946,0.262689,0.265287,0.267745,0.270065,0.272251,0.274308,0.276238,0.278046,0.279737,0.281313,0.28278,0.284141,0.285401,0.286565,0.287635,0.288616,0.289512,0.290327,0.291063,0.291725,0.292315,0.292835,0.293289,0.293678,0.294004,0.294269,0.294473,0.294617,0.294701,0.294725,0.294689,0.294589,0.294426,0.294195,0.293894,0.293519,0.293065,0.292526,0.291897,0.291169,0.290334,0.289381,0.288301,0.287081,0.285706,0.284161,0.282428,0.280488,0.278319,0.275897,0.273196,0.270185,0.266833,0.263103,0.258956,0.25435,0.249238,0.243568,0.237284,0.230327,0.222632,0.214129,0.204744,0.194398,0.183008,0.170485,0.156739,0.141677,0.125202,0.107217,0.0876289,0.0663435,0.0432739,0.0183389,-0.00853027,-0.0373914,-0.0682878,-0.101239},
{-1.9456,-1.9166,-1.88761,-1.85861,-1.82962,-1.80063,-1.77165,-1.74266,-1.71368,-1.68471,-1.65575,-1.62679,-1.59784,-1.5689,-1.53997,-1.51106,-1.48216,-1.45328,-1.42442,-1.39558,-1.36677,-1.33799,-1.30924,-1.28052,-1.25185,-1.22322,-1.19464,-1.16611,-1.13765,-1.10926,-1.08094,-1.0527,-1.02455,-0.996507,-0.968572,-0.940756,-0.913072,-0.885531,-0.858144,-0.830927,-0.80389,-0.77705,-0.75042,-0.724015,-0.69785,-0.671941,-0.646303,-0.620953,-0.595905,-0.571175,-0.546777,-0.522727,-0.499038,-0.475724,-0.452798,-0.43027,-0.408152,-0.386453,-0.365182,-0.344347,-0.323953,-0.304007,-0.28451,-0.265467,-0.246878,-0.228743,-0.211062,-0.193832,-0.177049,-0.16071,-0.14481,-0.129342,-0.114298,-0.0996728,-0.0854565,-0.0716408,-0.0582164,-0.0451737,-0.0325027,-0.0201934,-0.00823555,0.00338122,0.0146672,0.0256325,0.0362872,0.0466411,0.056704,0.066485,0.0759931,0.0852369,0.0942246,0.102964,0.111462,0.119726,0.127762,0.135577,0.143174,0.15056,0.157739,0.164715,0.171492,0.178072,0.184459,0.190655,0.196663,0.202484,0.208121,0.213575,0.218847,0.223938,0.228851,0.233585,0.238144,0.242527,0.246737,0.250774,0.254641,0.25834,0.261872,0.265241,0.268448,0.271496,0.274389,0.277129,0.279721,0.282167,0.284471,0.286639,0.288672,0.290577,0.292358,0.294018,0.295562,0.296996,0.298322,0.299546,0.300672,0.301704,0.302646,0.303503,0.304276,0.304971,0.30559,0.306135,0.30661,0.307017,0.307357,0.307632,0.307843,0.307991,0.308075,0.308095,0.308051,0.30794,0.307761,0.307511,0.307187,0.306783,0.306296,0.305719,0.305045,0.304266,0.303373,0.302357,0.301204,0.299902,0.298436,0.29679,0.294944,0.292879,0.290571,0.287996,0.285124,0.281926,0.278366,0.274408,0.27001,0.265127,0.259712,0.253709,0.247062,0.239708,0.23158,0.222606,0.212711,0.201812,0.189825,0.17666,0.162226,0.146429,0.129171,0.110358,0.0898966,0.0676962,0.0436734,0.0177518,-0.0101309,-0.0400247,-0.0719648,-0.105961},
{-1.98434,-1.95532,-1.92629,-1.89726,-1.86823,-1.83921,-1.81018,-1.78115,-1.75212,-1.7231,-1.69408,-1.66507,-1.63605,-1.60705,-1.57805,-1.54907,-1.52009,-1.49112,-1.46217,-1.43324,-1.40432,-1.37543,-1.34656,-1.31772,-1.28891,-1.26014,-1.23141,-1.20272,-1.17408,-1.1455,-1.11698,-1.08853,-1.06015,-1.03186,-1.00367,-0.975576,-0.947595,-0.919738,-0.892017,-0.864442,-0.837027,-0.809786,-0.782731,-0.755878,-0.72924,-0.702834,-0.676675,-0.650777,-0.625158,-0.599832,-0.574815,-0.550121,-0.525767,-0.501766,-0.478132,-0.454877,-0.432014,-0.409554,-0.387507,-0.365882,-0.344688,-0.32393,-0.303616,-0.283747,-0.264329,-0.245363,-0.226849,-0.208788,-0.191176,-0.174013,-0.157292,-0.141011,-0.125164,-0.109743,-0.094742,-0.080153,-0.0659675,-0.0521767,-0.0387714,-0.025742,-0.0130789,-0.00077193,0.0111887,0.0228129,0.0341107,0.0450918,0.0557657,0.0661417,0.0762288,0.0860357,0.0955706,0.104842,0.113856,0.122621,0.131143,0.139428,0.147482,0.15531,0.162917,0.170306,0.177483,0.18445,0.19121,0.197767,0.204122,0.210279,0.216238,0.222002,0.227572,0.232951,0.238139,0.243138,0.247949,0.252574,0.257015,0.261273,0.265351,0.26925,0.272974,0.276523,0.279902,0.283113,0.28616,0.289046,0.291774,0.294349,0.296775,0.299056,0.301196,0.303201,0.305074,0.306821,0.308445,0.309953,0.311348,0.312636,0.31382,0.314906,0.315897,0.316797,0.317611,0.318342,0.318993,0.319568,0.320068,0.320497,0.320855,0.321146,0.321369,0.321526,0.321616,0.32164,0.321596,0.321483,0.321298,0.32104,0.320703,0.320284,0.319778,0.319178,0.318477,0.317668,0.31674,0.315683,0.314485,0.313131,0.311608,0.309898,0.307981,0.305837,0.303441,0.300768,0.297789,0.294472,0.290782,0.286681,0.282126,0.277071,0.271467,0.265258,0.258386,0.250788,0.242395,0.233135,0.222929,0.211696,0.19935,0.185801,0.170956,0.154723,0.137004,0.117705,0.0967351,0.074004,0.0494316,0.0229445,-0.00551576,-0.0359948,-0.0685227,-0.103103},
{-2.02166,-1.99261,-1.96355,-1.93449,-1.90543,-1.87637,-1.8473,-1.81823,-1.78917,-1.7601,-1.73103,-1.70196,-1.67289,-1.64383,-1.61477,-1.58572,-1.55667,-1.52763,-1.4986,-1.46957,-1.44057,-1.41158,-1.3826,-1.35365,-1.32472,-1.29582,-1.26695,-1.23811,-1.20932,-1.18057,-1.15187,-1.12323,-1.09465,-1.06614,-1.03771,-1.00937,-0.981123,-0.952983,-0.924959,-0.897063,-0.869307,-0.841702,-0.814263,-0.787003,-0.759935,-0.733076,-0.706439,-0.68004,-0.653895,-0.628019,-0.602428,-0.577138,-0.552164,-0.527521,-0.503223,-0.479284,-0.455718,-0.432537,-0.409753,-0.387375,-0.365415,-0.343879,-0.322776,-0.302112,-0.281891,-0.262116,-0.242792,-0.223917,-0.205493,-0.187519,-0.169991,-0.152908,-0.136264,-0.120054,-0.104272,-0.0889126,-0.0739671,-0.0594279,-0.0452865,-0.031534,-0.0181615,-0.00515932,0.00748191,0.0197718,0.0317201,0.0433362,0.0546295,0.0656093,0.0762846,0.0866639,0.0967557,0.106568,0.116108,0.125384,0.134401,0.143167,0.151687,0.159966,0.168009,0.175822,0.183407,0.190769,0.197911,0.204836,0.211547,0.218046,0.224335,0.230416,0.236292,0.241964,0.247433,0.252701,0.257771,0.262643,0.26732,0.271804,0.276097,0.280201,0.284118,0.287853,0.291407,0.294784,0.297987,0.301021,0.303888,0.306594,0.309143,0.311539,0.313787,0.315892,0.317859,0.319693,0.321398,0.32298,0.324444,0.325795,0.327037,0.328175,0.329213,0.330156,0.331008,0.331773,0.332454,0.333054,0.333575,0.334021,0.334394,0.334694,0.334924,0.335083,0.335172,0.335191,0.335137,0.335011,0.334809,0.334528,0.334164,0.333713,0.33317,0.332527,0.331777,0.330912,0.329921,0.328792,0.327514,0.326072,0.32445,0.322629,0.320589,0.318308,0.315762,0.312922,0.309758,0.306238,0.302324,0.297976,0.29315,0.287799,0.281869,0.275304,0.268044,0.260023,0.25117,0.241411,0.230665,0.218849,0.205876,0.191655,0.176094,0.159096,0.140567,0.120415,0.0985488,0.0748841,0.0493442,0.0218614,-0.00761525,-0.0391248,-0.0726834,-0.108289},
{-2.05765,-2.02857,-1.99949,-1.9704,-1.94131,-1.91221,-1.88311,-1.85401,-1.8249,-1.79579,-1.76668,-1.73757,-1.70845,-1.67934,-1.65022,-1.6211,-1.59199,-1.56288,-1.53378,-1.50468,-1.47559,-1.44651,-1.41744,-1.38838,-1.35934,-1.33033,-1.30133,-1.27237,-1.24343,-1.21453,-1.18567,-1.15685,-1.12809,-1.09939,-1.07075,-1.04218,-1.01369,-0.985299,-0.957002,-0.928815,-0.90075,-0.872816,-0.845028,-0.817397,-0.789938,-0.762664,-0.73559,-0.708731,-0.682102,-0.655719,-0.629597,-0.603753,-0.578202,-0.552959,-0.528039,-0.503458,-0.479229,-0.455366,-0.431881,-0.408788,-0.386096,-0.363815,-0.341955,-0.320522,-0.299525,-0.278967,-0.258853,-0.239186,-0.219968,-0.201198,-0.182877,-0.165002,-0.147571,-0.13058,-0.114024,-0.0978975,-0.0821944,-0.0669077,-0.0520298,-0.0375526,-0.0234678,-0.00976649,0.00356025,0.0165216,0.0291268,0.041385,0.0533055,0.0648973,0.0761692,0.0871299,0.0977877,0.108151,0.118226,0.128022,0.137544,0.1468,0.155795,0.164534,0.173024,0.181268,0.189271,0.197037,0.204569,0.211871,0.218945,0.225794,0.23242,0.238826,0.245014,0.250986,0.256743,0.262287,0.267621,0.272746,0.277665,0.28238,0.286892,0.291206,0.295323,0.299246,0.30298,0.306526,0.30989,0.313076,0.316087,0.318927,0.321603,0.324118,0.326477,0.328686,0.33075,0.332674,0.334463,0.336123,0.337659,0.339077,0.34038,0.341574,0.342665,0.343655,0.34455,0.345354,0.34607,0.346701,0.34725,0.347721,0.348115,0.348434,0.348679,0.348851,0.348949,0.348975,0.348926,0.348801,0.348598,0.348314,0.347944,0.347484,0.346928,0.346271,0.345503,0.344616,0.3436,0.342443,0.341133,0.339654,0.33799,0.336123,0.334032,0.331694,0.329085,0.326175,0.322935,0.31933,0.315324,0.310875,0.305938,0.300466,0.294405,0.287698,0.280284,0.272095,0.263062,0.253109,0.242155,0.230118,0.216908,0.202435,0.186607,0.169329,0.150506,0.130046,0.107861,0.0838667,0.0579889,0.0301619,0.000337092,-0.0315218,-0.065428,-0.101376},
{-2.0924,-2.0633,-2.03419,-2.00508,-1.97596,-1.94684,-1.91771,-1.88857,-1.85943,-1.83028,-1.80113,-1.77197,-1.74281,-1.71365,-1.68448,-1.65531,-1.62614,-1.59697,-1.56779,-1.53862,-1.50946,-1.4803,-1.45114,-1.42199,-1.39286,-1.36374,-1.33463,-1.30554,-1.27648,-1.24744,-1.21844,-1.18947,-1.16054,-1.13165,-1.10282,-1.07405,-1.04535,-1.01672,-0.988178,-0.959728,-0.931381,-0.903149,-0.875043,-0.847074,-0.819257,-0.791604,-0.764129,-0.736847,-0.709772,-0.682921,-0.656308,-0.629949,-0.603861,-0.578058,-0.552556,-0.527371,-0.502518,-0.478011,-0.453863,-0.430088,-0.406699,-0.383705,-0.361118,-0.338947,-0.3172,-0.295884,-0.275005,-0.254566,-0.234572,-0.215025,-0.195925,-0.177272,-0.159065,-0.141302,-0.123979,-0.107091,-0.0906346,-0.0746029,-0.0589895,-0.0437874,-0.0289888,-0.0145858,-0.000569982,0.0130673,0.0263347,0.0392411,0.0517953,0.0640062,0.0758824,0.0874324,0.0986643,0.109586,0.120206,0.13053,0.140566,0.150321,0.1598,0.169009,0.177953,0.186637,0.195066,0.203244,0.211174,0.21886,0.226304,0.233511,0.240481,0.247218,0.253725,0.260002,0.266052,0.271878,0.277482,0.282865,0.28803,0.292979,0.297715,0.302242,0.306561,0.310677,0.314593,0.318312,0.321839,0.325177,0.328333,0.331309,0.334112,0.336746,0.339217,0.341529,0.34369,0.345703,0.347575,0.349311,0.350917,0.352398,0.35376,0.355007,0.356144,0.357177,0.358109,0.358945,0.359688,0.360342,0.36091,0.361395,0.361798,0.362122,0.362367,0.362535,0.362626,0.362638,0.362571,0.362422,0.36219,0.361871,0.36146,0.360953,0.360343,0.359623,0.358784,0.357818,0.356712,0.355455,0.354033,0.352429,0.350627,0.348606,0.346344,0.343817,0.340999,0.337859,0.334364,0.330479,0.326164,0.321375,0.316067,0.310187,0.30368,0.296485,0.28854,0.279774,0.270113,0.259481,0.247794,0.234966,0.220908,0.205527,0.188732,0.170427,0.15052,0.128921,0.105545,0.080314,0.053159,0.024026,-0.0071258,-0.0403209,-0.0755586,-0.112819},
{-2.12599,-2.09687,-2.06774,-2.03861,-2.00946,-1.98031,-1.95116,-1.92199,-1.89282,-1.86364,-1.83445,-1.80525,-1.77605,-1.74684,-1.71763,-1.68841,-1.65918,-1.62995,-1.60072,-1.57149,-1.54225,-1.51302,-1.48378,-1.45455,-1.42533,-1.39611,-1.3669,-1.33771,-1.30852,-1.27936,-1.25022,-1.22111,-1.19203,-1.16299,-1.13398,-1.10503,-1.07613,-1.04729,-1.01852,-0.989829,-0.961227,-0.932722,-0.904325,-0.876048,-0.847903,-0.819902,-0.792059,-0.764388,-0.736903,-0.709618,-0.68255,-0.655714,-0.629125,-0.6028,-0.576753,-0.551002,-0.525561,-0.500445,-0.47567,-0.451248,-0.427194,-0.40352,-0.380237,-0.357356,-0.334887,-0.312837,-0.291216,-0.270028,-0.249278,-0.22897,-0.209108,-0.189691,-0.17072,-0.152195,-0.134113,-0.116472,-0.0992668,-0.0824937,-0.0661471,-0.0502208,-0.0347081,-0.0196017,-0.00489414,0.00942264,0.0233568,0.0369166,0.0501107,0.0629473,0.0754348,0.0875816,0.0993956,0.110885,0.122057,0.132918,0.143477,0.153739,0.163711,0.173397,0.182805,0.191938,0.200802,0.209399,0.217736,0.225814,0.233637,0.241208,0.24853,0.255606,0.262437,0.269027,0.275377,0.281491,0.28737,0.293016,0.298433,0.303622,0.308588,0.313332,0.317859,0.322171,0.326273,0.330169,0.333863,0.337359,0.340662,0.343778,0.346712,0.349469,0.352054,0.354474,0.356734,0.35884,0.360798,0.362614,0.364293,0.365841,0.367264,0.368568,0.369756,0.370835,0.371809,0.372681,0.373457,0.37414,0.374732,0.375237,0.375657,0.375993,0.376248,0.376421,0.376513,0.376523,0.376449,0.376291,0.376045,0.375708,0.375275,0.37474,0.374098,0.373341,0.37246,0.371445,0.370284,0.368966,0.367474,0.365793,0.363904,0.361786,0.359418,0.356774,0.353825,0.350541,0.346889,0.34283,0.338324,0.333327,0.327789,0.32166,0.31488,0.30739,0.299122,0.290008,0.27997,0.268931,0.256807,0.24351,0.228952,0.213038,0.195678,0.176777,0.156243,0.133989,0.109932,0.0839987,0.0561232,0.026257,-0.00563475,-0.0395702,-0.0755411,-0.11352},
{-2.1585,-2.12936,-2.10021,-2.07106,-2.04189,-2.01272,-1.98353,-1.95434,-1.92514,-1.89593,-1.86671,-1.83748,-1.80824,-1.77899,-1.74973,-1.72047,-1.69119,-1.66191,-1.63262,-1.60333,-1.57403,-1.54473,-1.51542,-1.48612,-1.45681,-1.4275,-1.3982,-1.36891,-1.33962,-1.31035,-1.28109,-1.25184,-1.22262,-1.19343,-1.16427,-1.13515,-1.10607,-1.07703,-1.04806,-1.01915,-0.990314,-0.96156,-0.932897,-0.904337,-0.875892,-0.847571,-0.81939,-0.791359,-0.763495,-0.73581,-0.708319,-0.681039,-0.653985,-0.627171,-0.600615,-0.574332,-0.548338,-0.522648,-0.497278,-0.472243,-0.447557,-0.423233,-0.399284,-0.375722,-0.352557,-0.329801,-0.307461,-0.285546,-0.264061,-0.243012,-0.222403,-0.202238,-0.182517,-0.163241,-0.14441,-0.126023,-0.108076,-0.0905667,-0.0734902,-0.0568418,-0.0406157,-0.0248056,-0.00940473,0.00559412,0.0201985,0.0344161,0.0482548,0.0617228,0.0748279,0.0875782,0.0999814,0.112045,0.123777,0.135184,0.146273,0.157051,0.167524,0.177697,0.187576,0.197166,0.206472,0.215498,0.224248,0.232725,0.240934,0.248878,0.256558,0.263979,0.271142,0.278051,0.284707,0.291114,0.297273,0.303188,0.308861,0.314296,0.319495,0.324461,0.329199,0.333711,0.338003,0.342078,0.345941,0.349597,0.353051,0.356309,0.359375,0.362256,0.364957,0.367485,0.369845,0.372044,0.374088,0.375983,0.377735,0.37935,0.380834,0.382192,0.38343,0.384553,0.385565,0.386471,0.387276,0.387983,0.388595,0.389115,0.389545,0.389887,0.390143,0.390313,0.390397,0.390394,0.390303,0.390122,0.389848,0.389476,0.389003,0.388421,0.387725,0.386907,0.385956,0.384862,0.383614,0.382196,0.380594,0.378791,0.376765,0.374497,0.371962,0.369133,0.36598,0.362472,0.358572,0.354241,0.349437,0.344113,0.338218,0.331697,0.32449,0.316535,0.307763,0.298101,0.287472,0.275794,0.262982,0.248949,0.233603,0.216852,0.198603,0.178763,0.157244,0.133962,0.108837,0.081802,0.0527986,0.0217871,-0.0112592,-0.0463435,-0.0834496,-0.122536},
{-2.18999,-2.16084,-2.13167,-2.1025,-2.07331,-2.04412,-2.01491,-1.98569,-1.95646,-1.92722,-1.89797,-1.86871,-1.83944,-1.81015,-1.78085,-1.75155,-1.72223,-1.6929,-1.66356,-1.63422,-1.60486,-1.57549,-1.54612,-1.51675,-1.48736,-1.45798,-1.42859,-1.3992,-1.36982,-1.34044,-1.31107,-1.28171,-1.25236,-1.22303,-1.19373,-1.16445,-1.1352,-1.106,-1.07683,-1.04772,-1.01867,-0.989687,-0.960781,-0.931961,-0.903238,-0.874624,-0.846129,-0.817768,-0.789552,-0.761496,-0.733614,-0.705921,-0.678432,-0.651163,-0.624129,-0.597347,-0.570832,-0.544601,-0.51867,-0.493052,-0.467765,-0.442821,-0.418235,-0.39402,-0.370188,-0.34675,-0.323716,-0.301096,-0.278897,-0.257126,-0.235789,-0.21489,-0.194433,-0.174419,-0.15485,-0.135726,-0.117045,-0.0988047,-0.0810029,-0.0636355,-0.0466977,-0.0301843,-0.0140895,0.00159311,0.0168703,0.0317492,0.0462371,0.0603414,0.0740698,0.0874298,0.100429,0.113074,0.125374,0.137334,0.148961,0.160263,0.171244,0.181912,0.19227,0.202325,0.212082,0.221544,0.230715,0.2396,0.248203,0.256525,0.264572,0.272344,0.279846,0.28708,0.294048,0.300754,0.307201,0.31339,0.319325,0.32501,0.330447,0.33564,0.340593,0.34531,0.349795,0.354054,0.35809,0.36191,0.365518,0.368919,0.372121,0.375129,0.377949,0.380588,0.383051,0.385346,0.387478,0.389455,0.391282,0.392966,0.394512,0.395927,0.397217,0.398386,0.399439,0.400382,0.401218,0.401951,0.402586,0.403124,0.403568,0.40392,0.404181,0.404351,0.404432,0.404421,0.404318,0.404119,0.403823,0.403424,0.402919,0.402299,0.401559,0.400689,0.399681,0.398522,0.3972,0.3957,0.394006,0.3921,0.389961,0.387567,0.384892,0.381909,0.378587,0.374892,0.370787,0.366231,0.36118,0.355586,0.349396,0.342553,0.334997,0.326662,0.317478,0.30737,0.29626,0.284065,0.2707,0.256074,0.240097,0.222677,0.20372,0.183137,0.160841,0.13675,0.11079,0.0828958,0.0530193,0.0211245,-0.0128067,-0.0487688,-0.0867359,-0.126659},
{-2.22053,-2.19136,-2.16218,-2.13299,-2.10378,-2.07457,-2.04534,-2.0161,-1.98685,-1.95758,-1.9283,-1.89901,-1.8697,-1.84039,-1.81105,-1.78171,-1.75235,-1.72298,-1.69359,-1.6642,-1.63479,-1.60536,-1.57593,-1.54649,-1.51704,-1.48758,-1.45811,-1.42864,-1.39917,-1.36969,-1.34022,-1.31075,-1.28129,-1.25183,-1.22239,-1.19297,-1.16358,-1.13421,-1.10487,-1.07557,-1.04632,-1.01713,-0.987998,-0.958938,-0.92996,-0.901074,-0.872291,-0.843623,-0.815082,-0.786682,-0.758435,-0.730358,-0.702464,-0.674768,-0.647287,-0.620037,-0.593033,-0.566291,-0.539828,-0.513659,-0.4878,-0.462266,-0.437072,-0.412231,-0.387757,-0.363663,-0.339959,-0.316656,-0.293764,-0.271291,-0.249244,-0.227628,-0.20645,-0.185711,-0.165416,-0.145564,-0.126157,-0.107193,-0.0886717,-0.0705892,-0.0529425,-0.0357274,-0.0189389,-0.00257171,0.0133802,0.028923,0.0440635,0.0588085,0.0731651,0.0871403,0.100741,0.113975,0.126849,0.139369,0.151542,0.163375,0.174873,0.186043,0.196889,0.207417,0.217631,0.227537,0.237138,0.246438,0.255441,0.26415,0.272569,0.280701,0.288548,0.296113,0.3034,0.310411,0.31715,0.323619,0.329822,0.335761,0.341441,0.346866,0.352039,0.356965,0.361648,0.366093,0.370307,0.374293,0.378058,0.381607,0.384948,0.388085,0.391026,0.393778,0.396346,0.398739,0.400962,0.403022,0.404926,0.40668,0.408291,0.409765,0.411107,0.412324,0.41342,0.4144,0.415269,0.416031,0.416689,0.417247,0.417706,0.418068,0.418336,0.418509,0.418588,0.418571,0.418458,0.418244,0.417929,0.417505,0.41697,0.416316,0.415535,0.414618,0.413556,0.412337,0.410946,0.40937,0.407591,0.40559,0.403346,0.400835,0.398032,0.394906,0.391428,0.38756,0.383266,0.378503,0.373225,0.367383,0.360923,0.353787,0.345911,0.33723,0.327671,0.317159,0.305614,0.292953,0.279088,0.26393,0.247388,0.22937,0.209783,0.18854,0.165556,0.140751,0.114056,0.0854109,0.0547715,0.0221088,-0.0125888,-0.0493079,-0.0880149,-0.128654},
{-2.25017,-2.22099,-2.19179,-2.16258,-2.13336,-2.10413,-2.07488,-2.04562,-2.01634,-1.98705,-1.95775,-1.92843,-1.8991,-1.86975,-1.84038,-1.811,-1.7816,-1.75219,-1.72276,-1.69332,-1.66386,-1.63439,-1.6049,-1.5754,-1.54588,-1.51636,-1.48682,-1.45727,-1.42771,-1.39815,-1.36858,-1.33901,-1.30944,-1.27987,-1.25031,-1.22076,-1.19122,-1.1617,-1.1322,-1.10273,-1.0733,-1.04391,-1.01457,-0.985292,-0.956077,-0.92694,-0.897889,-0.868937,-0.840094,-0.811373,-0.782788,-0.754352,-0.726079,-0.697985,-0.670085,-0.642395,-0.614929,-0.587706,-0.56074,-0.534048,-0.507646,-0.48155,-0.455775,-0.430336,-0.405246,-0.38052,-0.356171,-0.332208,-0.308644,-0.285489,-0.26275,-0.240434,-0.21855,-0.1971,-0.176091,-0.155523,-0.135399,-0.11572,-0.0964844,-0.0776919,-0.0593399,-0.0414254,-0.0239445,-0.00689284,0.0097346,0.0259433,0.0417392,0.0571284,0.0721174,0.0867127,0.100921,0.114749,0.128203,0.14129,0.154016,0.166387,0.178409,0.190088,0.201429,0.212438,0.223118,0.233475,0.243513,0.253235,0.262646,0.271749,0.280547,0.289044,0.297242,0.305146,0.312757,0.320079,0.327116,0.33387,0.340345,0.346544,0.352472,0.358132,0.363529,0.368667,0.373551,0.378187,0.38258,0.386736,0.39066,0.39436,0.39784,0.401109,0.404173,0.407039,0.409714,0.412205,0.414519,0.416662,0.418643,0.420468,0.422143,0.423674,0.425068,0.426331,0.427468,0.428484,0.429383,0.43017,0.430848,0.431421,0.43189,0.432259,0.432527,0.432696,0.432766,0.432735,0.432602,0.432363,0.432017,0.431557,0.430978,0.430273,0.429434,0.428452,0.427315,0.426012,0.424528,0.422848,0.420952,0.418822,0.416435,0.413766,0.410787,0.407469,0.403778,0.399678,0.395128,0.390085,0.384501,0.378324,0.371499,0.363964,0.355657,0.346508,0.336443,0.325386,0.313254,0.299962,0.285423,0.269547,0.252242,0.233418,0.212983,0.190852,0.166943,0.141181,0.113501,0.0838506,0.0521935,0.0185091,-0.0172051,-0.0549246,-0.0946054,-0.136181},
{-2.27896,-2.24977,-2.22056,-2.19133,-2.1621,-2.13284,-2.10358,-2.0743,-2.045,-2.01569,-1.98637,-1.95702,-1.92766,-1.89828,-1.86889,-1.83947,-1.81004,-1.78059,-1.75113,-1.72164,-1.69214,-1.66261,-1.63307,-1.60352,-1.57394,-1.54435,-1.51475,-1.48513,-1.45549,-1.42585,-1.39619,-1.36653,-1.33685,-1.30718,-1.2775,-1.24783,-1.21816,-1.1885,-1.15886,-1.12923,-1.09963,-1.07006,-1.04053,-1.01104,-0.981608,-0.952237,-0.922938,-0.893721,-0.864597,-0.835578,-0.806677,-0.777906,-0.74928,-0.720812,-0.692519,-0.664414,-0.636515,-0.608837,-0.581396,-0.554208,-0.527291,-0.500659,-0.47433,-0.448317,-0.422638,-0.397304,-0.372332,-0.347732,-0.323518,-0.299699,-0.276287,-0.25329,-0.230715,-0.208569,-0.186857,-0.165585,-0.144754,-0.124368,-0.104426,-0.084929,-0.0658761,-0.0472653,-0.0290939,-0.0113586,0.00594471,0.0228205,0.0392739,0.0553103,0.0709355,0.0861553,0.100976,0.115403,0.129444,0.143104,0.15639,0.169306,0.18186,0.194055,0.205899,0.217395,0.228549,0.239365,0.249847,0.259999,0.269825,0.279328,0.288513,0.297382,0.305939,0.314187,0.32213,0.329769,0.33711,0.344154,0.350907,0.357372,0.363552,0.369453,0.375079,0.380434,0.385525,0.390356,0.394933,0.399262,0.40335,0.407203,0.410828,0.414232,0.417423,0.420406,0.423191,0.425784,0.428192,0.430424,0.432485,0.434384,0.436127,0.43772,0.43917,0.440484,0.441666,0.442723,0.443658,0.444476,0.445181,0.445776,0.446264,0.446646,0.446925,0.4471,0.447172,0.447139,0.447,0.446751,0.44639,0.445911,0.445309,0.444576,0.443705,0.442684,0.441504,0.440151,0.438611,0.436867,0.434901,0.432692,0.430218,0.427452,0.424367,0.420932,0.417113,0.412872,0.408168,0.402956,0.397188,0.390811,0.383769,0.376,0.367438,0.358015,0.347655,0.33628,0.323808,0.310155,0.295231,0.278946,0.261211,0.241934,0.221025,0.198401,0.173982,0.147695,0.11948,0.089285,0.0570802,0.022849,-0.0134061,-0.0516557,-0.0918504,-0.133919},
{-2.30695,-2.27775,-2.24852,-2.21929,-2.19003,-2.16077,-2.13149,-2.10219,-2.07287,-2.04354,-2.01419,-1.98483,-1.95544,-1.92604,-1.89661,-1.86717,-1.83771,-1.80822,-1.77872,-1.74919,-1.71965,-1.69008,-1.66049,-1.63088,-1.60126,-1.57161,-1.54194,-1.51225,-1.48255,-1.45282,-1.42309,-1.39333,-1.36357,-1.3338,-1.30401,-1.27423,-1.24444,-1.21465,-1.18487,-1.15509,-1.12534,-1.0956,-1.06589,-1.03621,-1.00657,-0.976984,-0.947453,-0.91799,-0.888604,-0.859307,-0.83011,-0.801027,-0.772069,-0.743252,-0.714589,-0.686095,-0.657786,-0.629679,-0.601788,-0.574131,-0.546723,-0.519582,-0.492723,-0.466163,-0.439917,-0.414001,-0.388428,-0.363214,-0.33837,-0.313909,-0.289842,-0.26618,-0.242931,-0.220103,-0.197704,-0.175739,-0.154212,-0.133127,-0.112487,-0.0922923,-0.0725437,-0.0532406,-0.0343815,-0.0159642,0.00201436,0.0195577,0.0366699,0.0533557,0.0696199,0.0854678,0.100905,0.115937,0.13057,0.144808,0.158659,0.172128,0.185219,0.197938,0.210291,0.222282,0.233917,0.245198,0.256131,0.26672,0.276968,0.286879,0.296457,0.305705,0.314627,0.323225,0.331504,0.339466,0.347116,0.354457,0.361493,0.368227,0.374665,0.38081,0.386669,0.392245,0.397544,0.402573,0.407337,0.411842,0.416095,0.420104,0.423875,0.427416,0.430734,0.433836,0.436731,0.439426,0.441929,0.444247,0.446388,0.448359,0.450168,0.451821,0.453325,0.454686,0.45591,0.457003,0.457969,0.458813,0.459538,0.460149,0.460647,0.461035,0.461313,0.461484,0.461545,0.461497,0.461336,0.461061,0.460667,0.460149,0.459501,0.458715,0.457782,0.456692,0.455434,0.453993,0.452354,0.450501,0.448414,0.44607,0.443447,0.440516,0.43725,0.433616,0.429577,0.425095,0.420128,0.414628,0.408546,0.401827,0.394412,0.386238,0.377238,0.36734,0.356469,0.344545,0.331484,0.3172,0.301604,0.284606,0.266117,0.246046,0.224306,0.200815,0.175497,0.148286,0.119125,0.0879702,0.0547998,0.0196042,-0.0176008,-0.0567798,-0.0978724,-0.140798},
{-2.33419,-2.30497,-2.27573,-2.24649,-2.21722,-2.18794,-2.15864,-2.12933,-2.1,-2.07065,-2.04128,-2.01189,-1.98248,-1.95305,-1.9236,-1.89413,-1.86464,-1.83512,-1.80558,-1.77602,-1.74644,-1.71683,-1.6872,-1.65754,-1.62786,-1.59816,-1.56843,-1.53868,-1.50891,-1.47912,-1.4493,-1.41947,-1.38962,-1.35975,-1.32987,-1.29998,-1.27008,-1.24017,-1.21026,-1.18035,-1.15044,-1.12055,-1.09067,-1.06081,-1.03099,-1.0012,-0.97145,-0.941757,-0.912127,-0.88257,-0.853097,-0.82372,-0.794451,-0.765305,-0.736295,-0.707435,-0.67874,-0.650227,-0.62191,-0.593807,-0.565934,-0.538308,-0.510944,-0.48386,-0.457072,-0.430595,-0.404445,-0.378637,-0.353184,-0.3281,-0.303398,-0.279088,-0.255182,-0.231687,-0.208614,-0.185968,-0.163757,-0.141984,-0.120653,-0.0997678,-0.0793294,-0.0593386,-0.0397952,-0.0206981,-0.00204542,0.0161653,0.0339372,0.051274,0.0681798,0.0846591,0.100717,0.116358,0.131587,0.14641,0.160833,0.174859,0.188494,0.201744,0.214614,0.227107,0.239228,0.250983,0.262374,0.273407,0.284084,0.29441,0.304388,0.314021,0.323314,0.33227,0.340892,0.349183,0.357148,0.364791,0.372115,0.379125,0.385825,0.39222,0.398316,0.404117,0.40963,0.414861,0.419816,0.424501,0.428924,0.433092,0.437013,0.440694,0.444142,0.447367,0.450375,0.453175,0.455775,0.458184,0.460407,0.462455,0.464333,0.466049,0.46761,0.469022,0.470292,0.471425,0.472426,0.4733,0.474051,0.474682,0.475196,0.475596,0.475881,0.476054,0.476113,0.476058,0.475887,0.475595,0.47518,0.474636,0.473956,0.473132,0.472156,0.471017,0.469702,0.468197,0.466487,0.464554,0.462377,0.459935,0.457202,0.454151,0.450753,0.446972,0.442774,0.438117,0.432958,0.42725,0.42094,0.413974,0.406292,0.397828,0.388516,0.378281,0.367048,0.354736,0.34126,0.326535,0.310471,0.292979,0.273969,0.253352,0.231043,0.206961,0.181035,0.1532,0.123404,0.0916087,0.0577964,0.0219637,-0.0158678,-0.0556557,-0.0973358,-0.14082},
{-2.36071,-2.33148,-2.30223,-2.27297,-2.24369,-2.2144,-2.18509,-2.15576,-2.12641,-2.09704,-2.06765,-2.03825,-2.00882,-1.97937,-1.94989,-1.92039,-1.89087,-1.86133,-1.83176,-1.80216,-1.77254,-1.74289,-1.71322,-1.68352,-1.65379,-1.62404,-1.59426,-1.56445,-1.53462,-1.50476,-1.47487,-1.44496,-1.41503,-1.38508,-1.35511,-1.32511,-1.29511,-1.26509,-1.23505,-1.20502,-1.17498,-1.14494,-1.1149,-1.08488,-1.05487,-1.02489,-0.994946,-0.965038,-0.935178,-0.905378,-0.875645,-0.845993,-0.816433,-0.786978,-0.75764,-0.728435,-0.699376,-0.670479,-0.641759,-0.613234,-0.584918,-0.556829,-0.528984,-0.501399,-0.474091,-0.447076,-0.42037,-0.39399,-0.367949,-0.342261,-0.316942,-0.292002,-0.267455,-0.243309,-0.219576,-0.196263,-0.173377,-0.150926,-0.128915,-0.107346,-0.0862247,-0.0655515,-0.0453278,-0.0255539,-0.00622903,0.0126482,0.0310799,0.0490687,0.066618,0.0837313,0.100413,0.116667,0.132498,0.14791,0.162909,0.177499,0.191685,0.205472,0.218864,0.231865,0.244481,0.256716,0.268572,0.280055,0.291168,0.301916,0.3123,0.322326,0.331997,0.341315,0.350286,0.358913,0.367199,0.375149,0.382766,0.390056,0.397024,0.403674,0.410011,0.416042,0.421773,0.427209,0.432358,0.437227,0.441822,0.446153,0.450225,0.454048,0.45763,0.460978,0.464102,0.467009,0.469708,0.472207,0.474515,0.476639,0.478587,0.480367,0.481985,0.483449,0.484764,0.485937,0.486973,0.487876,0.488651,0.489301,0.48983,0.490239,0.49053,0.490702,0.490757,0.490692,0.490506,0.490194,0.489754,0.489178,0.488461,0.487595,0.486569,0.485373,0.483993,0.482416,0.480625,0.478601,0.476324,0.473771,0.470915,0.467729,0.464181,0.460237,0.455859,0.451006,0.445633,0.439691,0.433127,0.425885,0.417903,0.409116,0.399455,0.388845,0.377208,0.364464,0.350527,0.335312,0.318728,0.300686,0.281099,0.259877,0.236939,0.212206,0.185608,0.157086,0.126592,0.0940954,0.0595811,0.0230531,-0.01546,-0.0559095,-0.0982241,-0.142309},
{-2.38654,-2.3573,-2.32805,-2.29877,-2.26949,-2.24018,-2.21086,-2.18151,-2.15215,-2.12277,-2.09336,-2.06393,-2.03449,-2.00501,-1.97552,-1.94599,-1.91645,-1.88687,-1.85727,-1.82765,-1.79799,-1.76831,-1.7386,-1.70885,-1.67908,-1.64928,-1.61945,-1.58959,-1.5597,-1.52977,-1.49982,-1.46984,-1.43984,-1.4098,-1.37974,-1.34966,-1.31956,-1.28943,-1.25929,-1.22913,-1.19896,-1.16878,-1.1386,-1.10842,-1.07825,-1.04809,-1.01796,-0.987846,-0.957772,-0.927742,-0.897767,-0.867856,-0.838022,-0.808275,-0.778629,-0.749097,-0.719694,-0.690434,-0.661332,-0.632405,-0.603669,-0.57514,-0.546835,-0.518771,-0.490964,-0.463433,-0.436193,-0.40926,-0.382651,-0.35638,-0.330461,-0.304909,-0.279737,-0.254955,-0.230576,-0.206609,-0.183062,-0.159944,-0.13726,-0.115017,-0.0932194,-0.0718695,-0.0509702,-0.030523,-0.0105283,0.00901403,0.0281051,0.0467465,0.0649406,0.08269,0.0999982,0.116868,0.133305,0.149311,0.164892,0.180051,0.194794,0.209123,0.223044,0.236561,0.249678,0.262399,0.274728,0.286668,0.298224,0.309399,0.320197,0.330622,0.340676,0.350365,0.359691,0.368658,0.377271,0.385534,0.393451,0.401026,0.408266,0.415175,0.421759,0.428024,0.433976,0.439622,0.44497,0.450025,0.454797,0.459293,0.463521,0.467489,0.471206,0.474681,0.477923,0.480939,0.48374,0.486332,0.488726,0.490929,0.492949,0.494794,0.496472,0.497989,0.499351,0.500566,0.501638,0.502573,0.503375,0.504046,0.504592,0.505013,0.505311,0.505486,0.505539,0.505467,0.50527,0.504942,0.50448,0.503878,0.503129,0.502225,0.501155,0.499909,0.498472,0.496831,0.494968,0.492864,0.490497,0.487845,0.48488,0.481573,0.477893,0.473804,0.469267,0.464241,0.458679,0.452531,0.445745,0.438261,0.430017,0.420948,0.410982,0.400046,0.38806,0.374942,0.360609,0.344971,0.327942,0.309431,0.289352,0.267617,0.244146,0.218863,0.191701,0.162604,0.131528,0.0984468,0.0633502,0.0262473,-0.0128278,-0.0538208,-0.0966559,-0.141233},
{-2.41173,-2.38248,-2.35322,-2.32393,-2.29464,-2.26532,-2.23598,-2.20663,-2.17725,-2.14785,-2.11843,-2.08899,-2.05952,-2.03003,-2.00051,-1.97096,-1.94139,-1.91179,-1.88217,-1.85251,-1.82282,-1.79311,-1.76336,-1.73358,-1.70376,-1.67392,-1.64404,-1.61413,-1.58418,-1.5542,-1.52419,-1.49414,-1.46406,-1.43395,-1.40381,-1.37364,-1.34345,-1.31322,-1.28297,-1.2527,-1.22241,-1.19211,-1.16179,-1.13146,-1.10114,-1.07081,-1.0405,-1.0102,-0.979921,-0.949676,-0.919472,-0.889318,-0.859224,-0.829203,-0.799266,-0.769426,-0.739697,-0.710093,-0.680629,-0.651321,-0.622184,-0.593235,-0.564491,-0.535969,-0.507685,-0.479658,-0.451904,-0.424439,-0.397281,-0.370444,-0.343945,-0.317799,-0.292018,-0.266616,-0.241605,-0.216997,-0.192801,-0.169026,-0.145681,-0.122772,-0.100305,-0.0782852,-0.0567156,-0.0355991,-0.0149377,0.00526776,0.0250171,0.044311,0.0631506,0.0815378,0.0994749,0.116965,0.13401,0.150615,0.166782,0.182515,0.197819,0.212697,0.227154,0.241192,0.254816,0.26803,0.280837,0.293242,0.305247,0.316857,0.328075,0.338904,0.349349,0.359413,0.3691,0.378414,0.38736,0.395941,0.404162,0.412028,0.419545,0.426717,0.433552,0.440055,0.446233,0.452092,0.457641,0.462887,0.467838,0.472501,0.476887,0.481003,0.484858,0.488461,0.491822,0.494949,0.497852,0.500539,0.503019,0.505301,0.507393,0.509303,0.511039,0.512609,0.514018,0.515273,0.51638,0.517344,0.51817,0.51886,0.519419,0.519849,0.52015,0.520323,0.520369,0.520285,0.520069,0.519718,0.519227,0.51859,0.517799,0.516846,0.515721,0.514411,0.512903,0.511181,0.509228,0.507024,0.504547,0.501773,0.498673,0.495218,0.491375,0.487107,0.482375,0.477135,0.471341,0.46494,0.457879,0.450097,0.441532,0.432115,0.421775,0.410437,0.398021,0.384444,0.369621,0.353465,0.335887,0.316798,0.296114,0.273748,0.249622,0.223663,0.195809,0.166006,0.134217,0.10042,0.064612,0.0268086,-0.0129498,-0.0546014,-0.098065,-0.143234},
{-2.4363,-2.40705,-2.37777,-2.34848,-2.31917,-2.28984,-2.2605,-2.23113,-2.20174,-2.17233,-2.14289,-2.11343,-2.08395,-2.05444,-2.0249,-1.99533,-1.96574,-1.93612,-1.90646,-1.87678,-1.84706,-1.81731,-1.78753,-1.75771,-1.72786,-1.69797,-1.66805,-1.63809,-1.60809,-1.57806,-1.54799,-1.51788,-1.48774,-1.45756,-1.42734,-1.39709,-1.3668,-1.33649,-1.30614,-1.27576,-1.24536,-1.21493,-1.18449,-1.15402,-1.12355,-1.09307,-1.06258,-1.03211,-1.00164,-0.971192,-0.940771,-0.910388,-0.88005,-0.849769,-0.819557,-0.789426,-0.759388,-0.729458,-0.69965,-0.669979,-0.640461,-0.611112,-0.581948,-0.552988,-0.524247,-0.495743,-0.467494,-0.439517,-0.411829,-0.384445,-0.357384,-0.330659,-0.304286,-0.278279,-0.252652,-0.227416,-0.202583,-0.178163,-0.154167,-0.130601,-0.107473,-0.0847894,-0.062555,-0.0407739,-0.0194492,0.00141689,0.0218231,0.0417689,0.0612544,0.0802805,0.0988484,0.11696,0.134618,0.151824,0.168582,0.184895,0.200766,0.216198,0.231195,0.245761,0.259899,0.273612,0.286904,0.299779,0.31224,0.324291,0.335936,0.347177,0.358018,0.368464,0.378519,0.388185,0.397469,0.406374,0.414904,0.423066,0.430865,0.438307,0.445397,0.452142,0.45855,0.464627,0.470381,0.475821,0.480954,0.485789,0.490335,0.494601,0.498597,0.502331,0.505814,0.509054,0.512061,0.514844,0.517413,0.519776,0.521942,0.523919,0.525716,0.527339,0.528796,0.530093,0.531237,0.532232,0.533083,0.533794,0.534368,0.534807,0.535113,0.535287,0.535327,0.535233,0.535002,0.53463,0.534112,0.533442,0.532612,0.531614,0.530437,0.529068,0.527493,0.525696,0.52366,0.521362,0.518782,0.515893,0.512667,0.509074,0.505079,0.500645,0.495732,0.490294,0.484284,0.47765,0.470334,0.462278,0.453417,0.443681,0.432999,0.421293,0.408485,0.394489,0.379222,0.362596,0.344523,0.324914,0.303686,0.280755,0.256044,0.229483,0.201013,0.170586,0.138167,0.103741,0.0673091,0.0288931,-0.0114607,-0.053685,-0.0976935,-0.143375},
{-2.46029,-2.43103,-2.40174,-2.37244,-2.34313,-2.31379,-2.28443,-2.25505,-2.22565,-2.19622,-2.16677,-2.1373,-2.1078,-2.07827,-2.04871,-2.01913,-1.98952,-1.95987,-1.93019,-1.90048,-1.87074,-1.84096,-1.81115,-1.78129,-1.75141,-1.72148,-1.69151,-1.66151,-1.63146,-1.60138,-1.57125,-1.54109,-1.51088,-1.48063,-1.45034,-1.42002,-1.38965,-1.35924,-1.3288,-1.29833,-1.26782,-1.23728,-1.20671,-1.17612,-1.1455,-1.11487,-1.08423,-1.05359,-1.02294,-0.992301,-0.961677,-0.931076,-0.900507,-0.869981,-0.839509,-0.809101,-0.778771,-0.748531,-0.718396,-0.68838,-0.658499,-0.628768,-0.599204,-0.569823,-0.540644,-0.511684,-0.482959,-0.454488,-0.426287,-0.398375,-0.370768,-0.343482,-0.316533,-0.289937,-0.263707,-0.237857,-0.2124,-0.187347,-0.162709,-0.138496,-0.114715,-0.0913754,-0.0684825,-0.0460419,-0.024058,-0.00253421,0.0185268,0.0391234,0.0592546,0.0789201,0.0981203,0.116856,0.135129,0.152941,0.170293,0.18719,0.203632,0.219624,0.235167,0.250266,0.264923,0.279142,0.292925,0.306277,0.319201,0.331699,0.343776,0.355434,0.366679,0.377513,0.38794,0.397965,0.407592,0.416826,0.425672,0.434134,0.44222,0.449934,0.457284,0.464276,0.470917,0.477215,0.483178,0.488814,0.494133,0.499142,0.503851,0.50827,0.512408,0.516275,0.51988,0.523234,0.526346,0.529226,0.531884,0.534328,0.536567,0.538611,0.540466,0.542142,0.543645,0.544983,0.54616,0.547183,0.548056,0.548783,0.549368,0.549812,0.550118,0.550285,0.550313,0.550201,0.549945,0.549542,0.548987,0.548273,0.547392,0.546334,0.545089,0.543643,0.541982,0.540089,0.537946,0.535529,0.532818,0.529784,0.526398,0.52263,0.518443,0.513799,0.508656,0.502968,0.496686,0.489756,0.48212,0.473717,0.464481,0.454342,0.443227,0.431057,0.417752,0.403228,0.387399,0.370179,0.351479,0.331213,0.309298,0.285652,0.260202,0.232882,0.203637,0.172423,0.139213,0.103997,0.066784,0.0276042,-0.0134904,-0.0564247,-0.101105,-0.147416},
{-2.48372,-2.45445,-2.42516,-2.39585,-2.36652,-2.33718,-2.30781,-2.27842,-2.249,-2.21957,-2.1901,-2.16062,-2.1311,-2.10156,-2.07198,-2.04238,-2.01275,-1.98308,-1.95338,-1.92365,-1.89388,-1.86407,-1.83422,-1.80434,-1.77442,-1.74446,-1.71445,-1.68441,-1.65432,-1.62418,-1.59401,-1.56378,-1.53352,-1.50321,-1.47285,-1.44245,-1.41201,-1.38152,-1.35099,-1.32042,-1.28981,-1.25916,-1.22848,-1.19776,-1.16702,-1.13625,-1.10546,-1.07465,-1.04384,-1.01302,-0.982199,-0.951392,-0.920605,-0.889847,-0.859127,-0.828458,-0.797849,-0.767315,-0.736869,-0.706524,-0.676297,-0.646201,-0.616254,-0.586472,-0.556873,-0.527473,-0.49829,-0.469343,-0.440649,-0.412225,-0.384089,-0.356258,-0.328749,-0.301578,-0.27476,-0.24831,-0.222241,-0.196567,-0.171298,-0.146447,-0.122023,-0.0980342,-0.0744892,-0.0513945,-0.0287558,-0.00657776,0.0151357,0.0363816,0.0571578,0.0774631,0.0972966,0.116658,0.135549,0.153969,0.17192,0.189404,0.206423,0.222978,0.239074,0.254711,0.269894,0.284624,0.298905,0.31274,0.326132,0.339084,0.3516,0.363683,0.375336,0.386564,0.397371,0.40776,0.417737,0.427305,0.436471,0.44524,0.453618,0.46161,0.469224,0.476467,0.483346,0.48987,0.496045,0.501882,0.50739,0.512576,0.517452,0.522026,0.52631,0.530312,0.534043,0.537514,0.540734,0.543713,0.546462,0.548989,0.551304,0.553416,0.555334,0.557065,0.558616,0.559996,0.561209,0.562263,0.56316,0.563907,0.564505,0.564957,0.565265,0.56543,0.565449,0.565323,0.565047,0.564619,0.564031,0.563279,0.562353,0.561243,0.559938,0.558424,0.556687,0.554709,0.55247,0.549948,0.54712,0.543957,0.540431,0.536507,0.53215,0.527321,0.521975,0.516067,0.509546,0.502357,0.494441,0.485735,0.476173,0.465684,0.454193,0.441622,0.427889,0.412911,0.396601,0.378873,0.359639,0.338816,0.316318,0.29207,0.265999,0.238044,0.208151,0.176284,0.142418,0.10655,0.0686942,0.0288874,-0.012813,-0.0563261,-0.101554,-0.148376},
{-2.50661,-2.47733,-2.44804,-2.41872,-2.38939,-2.36003,-2.33066,-2.30126,-2.27183,-2.24238,-2.21291,-2.18341,-2.15388,-2.12432,-2.09473,-2.06511,-2.03546,-2.00577,-1.97605,-1.94629,-1.9165,-1.88667,-1.85679,-1.82688,-1.79693,-1.76693,-1.73689,-1.7068,-1.67667,-1.64649,-1.61626,-1.58599,-1.55567,-1.5253,-1.49488,-1.46441,-1.43389,-1.40333,-1.37271,-1.34205,-1.31135,-1.2806,-1.24981,-1.21898,-1.18811,-1.15721,-1.12627,-1.09532,-1.06434,-1.03335,-1.00235,-0.971348,-0.940353,-0.909374,-0.87842,-0.847502,-0.816629,-0.785815,-0.755073,-0.724415,-0.693857,-0.663413,-0.633099,-0.602933,-0.57293,-0.543108,-0.513485,-0.484079,-0.454907,-0.425989,-0.397341,-0.368982,-0.340928,-0.313197,-0.285806,-0.258768,-0.2321,-0.205816,-0.179928,-0.154449,-0.12939,-0.10476,-0.0805702,-0.0568272,-0.0335385,-0.0107101,0.0116528,0.033546,0.0549663,0.075911,0.0963784,0.116367,0.135877,0.154908,0.173461,0.191536,0.209136,0.22626,0.242912,0.259094,0.274807,0.290055,0.304839,0.319163,0.33303,0.346442,0.359402,0.371915,0.383984,0.395612,0.406803,0.417563,0.427894,0.437803,0.447295,0.456375,0.465049,0.473324,0.481207,0.488705,0.495826,0.502578,0.50897,0.515011,0.52071,0.526076,0.531121,0.535853,0.540284,0.544423,0.548282,0.55187,0.555198,0.558278,0.561117,0.563728,0.566118,0.568298,0.570276,0.572061,0.573659,0.575079,0.576326,0.577407,0.578326,0.579088,0.579696,0.580151,0.580457,0.580612,0.580616,0.580468,0.580165,0.579701,0.579072,0.57827,0.577286,0.57611,0.57473,0.573133,0.571301,0.569217,0.566862,0.564211,0.561239,0.557919,0.55422,0.550107,0.545543,0.540487,0.534895,0.528719,0.521907,0.514402,0.506145,0.497071,0.487112,0.476197,0.464249,0.45119,0.436937,0.421406,0.404512,0.386167,0.366286,0.344785,0.321582,0.296604,0.269782,0.241058,0.210384,0.177728,0.143074,0.106424,0.0677986,0.0272435,-0.0151764,-0.0593758,-0.105249,-0.152669},
{-2.529,-2.49971,-2.47041,-2.44109,-2.41175,-2.38238,-2.353,-2.32359,-2.29415,-2.26469,-2.23521,-2.20569,-2.17615,-2.14658,-2.11698,-2.08734,-2.05767,-2.02796,-1.99822,-1.96845,-1.93863,-1.90877,-1.87887,-1.84893,-1.81895,-1.78892,-1.75884,-1.72872,-1.69854,-1.66832,-1.63805,-1.60773,-1.57735,-1.54693,-1.51645,-1.48591,-1.45533,-1.42469,-1.394,-1.36325,-1.33246,-1.30161,-1.27072,-1.23977,-1.20879,-1.17776,-1.1467,-1.1156,-1.08447,-1.05331,-1.02214,-0.990952,-0.959761,-0.928572,-0.897395,-0.86624,-0.835116,-0.804035,-0.77301,-0.742053,-0.711179,-0.680402,-0.649738,-0.619202,-0.588812,-0.558585,-0.528538,-0.498689,-0.469057,-0.43966,-0.410516,-0.381644,-0.353061,-0.324786,-0.296834,-0.269223,-0.241969,-0.215086,-0.18859,-0.162493,-0.136807,-0.111545,-0.086717,-0.0623319,-0.0383984,-0.0149238,0.00808539,0.0306237,0.0526866,0.0742702,0.0953718,0.115989,0.13612,0.155765,0.174922,0.193593,0.211776,0.229474,0.246688,0.263419,0.279668,0.295439,0.310733,0.325552,0.339899,0.353777,0.367189,0.380139,0.392628,0.404663,0.416245,0.427381,0.438073,0.448328,0.458151,0.467547,0.476523,0.485086,0.493243,0.501001,0.508368,0.515354,0.521966,0.528215,0.534109,0.53966,0.544876,0.54977,0.554351,0.558631,0.56262,0.566329,0.569769,0.572951,0.575885,0.578581,0.58105,0.5833,0.585342,0.587183,0.588831,0.590294,0.591578,0.592689,0.593633,0.594414,0.595034,0.595497,0.595804,0.595955,0.59595,0.595786,0.59546,0.594968,0.594304,0.593461,0.592428,0.591196,0.589753,0.588083,0.58617,0.583996,0.581539,0.578777,0.575682,0.572227,0.568379,0.564104,0.559362,0.554113,0.548311,0.541906,0.534846,0.527073,0.518527,0.509142,0.498849,0.487576,0.475246,0.461779,0.447093,0.431104,0.413725,0.394872,0.374458,0.352402,0.328625,0.303053,0.275622,0.246277,0.214976,0.181688,0.146404,0.109132,0.069897,0.0287505,-0.0142372,-0.0589758,-0.105353,-0.153246},
{-2.55089,-2.5216,-2.4923,-2.46297,-2.43362,-2.40425,-2.37485,-2.34543,-2.31599,-2.28652,-2.25703,-2.2275,-2.19795,-2.16836,-2.13874,-2.10909,-2.07941,-2.04968,-2.01992,-1.99013,-1.96029,-1.93041,-1.90048,-1.87051,-1.8405,-1.81044,-1.78033,-1.75017,-1.71996,-1.6897,-1.65939,-1.62902,-1.59859,-1.56811,-1.53758,-1.50698,-1.47633,-1.44562,-1.41485,-1.38403,-1.35315,-1.32221,-1.29122,-1.26017,-1.22908,-1.19793,-1.16674,-1.1355,-1.10423,-1.07292,-1.04158,-1.01022,-0.978837,-0.947449,-0.91606,-0.884679,-0.853315,-0.82198,-0.790685,-0.759443,-0.728267,-0.697172,-0.666171,-0.635282,-0.60452,-0.573903,-0.543447,-0.513172,-0.483095,-0.453236,-0.423611,-0.394241,-0.365144,-0.336338,-0.30784,-0.279669,-0.251841,-0.224372,-0.197278,-0.170573,-0.144271,-0.118385,-0.092926,-0.0679053,-0.0433325,-0.0192163,0.00443544,0.027616,0.0503196,0.0725412,0.0942767,0.115523,0.136277,0.156536,0.176301,0.195569,0.214341,0.232617,0.250396,0.267681,0.284472,0.300771,0.316579,0.331899,0.346733,0.361083,0.374953,0.388344,0.401261,0.413707,0.425687,0.437203,0.448262,0.458868,0.469027,0.478745,0.488028,0.496883,0.505317,0.513339,0.520957,0.528179,0.535015,0.541474,0.547567,0.553304,0.558695,0.563752,0.568485,0.572906,0.577027,0.580857,0.584409,0.587693,0.590721,0.593503,0.596049,0.598368,0.600471,0.602366,0.604061,0.605564,0.606882,0.60802,0.608984,0.609778,0.610405,0.610869,0.611169,0.611308,0.611283,0.611092,0.610733,0.6102,0.609487,0.608586,0.607488,0.606181,0.604653,0.602888,0.600869,0.598577,0.595989,0.593082,0.589829,0.586198,0.582159,0.577674,0.572703,0.567205,0.561131,0.554432,0.547053,0.538935,0.530016,0.52023,0.509507,0.497772,0.484948,0.470955,0.45571,0.439129,0.421125,0.401615,0.380514,0.357743,0.333223,0.306885,0.27867,0.248526,0.216416,0.182317,0.146226,0.108157,0.0681436,0.0262446,-0.0174622,-0.0628808,-0.109893,-0.158372},
{-2.57232,-2.54303,-2.51371,-2.48438,-2.45502,-2.42565,-2.39625,-2.36682,-2.33737,-2.30789,-2.27838,-2.24885,-2.21928,-2.18968,-2.16005,-2.13039,-2.10068,-2.07095,-2.04117,-2.01135,-1.98149,-1.95159,-1.92164,-1.89165,-1.86161,-1.83152,-1.80138,-1.77119,-1.74094,-1.71064,-1.68029,-1.64988,-1.6194,-1.58887,-1.55828,-1.52763,-1.49692,-1.46614,-1.4353,-1.4044,-1.37344,-1.34242,-1.31133,-1.28019,-1.24898,-1.21772,-1.18641,-1.15504,-1.12363,-1.09217,-1.06068,-1.02915,-0.997591,-0.966013,-0.934422,-0.902825,-0.871233,-0.839655,-0.808103,-0.776588,-0.745123,-0.713722,-0.682399,-0.65117,-0.620051,-0.589059,-0.55821,-0.527523,-0.497017,-0.466709,-0.436619,-0.406766,-0.377169,-0.347846,-0.318816,-0.290098,-0.261708,-0.233665,-0.205984,-0.178682,-0.151773,-0.12527,-0.0991885,-0.0735388,-0.0483324,-0.0235795,0.000711068,0.024531,0.0478733,0.0707316,0.0931006,0.114976,0.136353,0.15723,0.177605,0.197474,0.216837,0.235694,0.254045,0.271888,0.289226,0.306059,0.322388,0.338214,0.353541,0.368369,0.382702,0.396542,0.409892,0.422756,0.435139,0.447043,0.458474,0.469437,0.479938,0.489983,0.499578,0.508731,0.517448,0.525739,0.533612,0.541075,0.54814,0.554814,0.56111,0.567037,0.572607,0.577831,0.58272,0.587287,0.591542,0.595497,0.599165,0.602555,0.605681,0.608551,0.611178,0.613571,0.615739,0.617693,0.619439,0.620987,0.622342,0.623512,0.624501,0.625314,0.625955,0.626426,0.626728,0.626862,0.626827,0.62662,0.626237,0.625675,0.624926,0.623983,0.622834,0.62147,0.619876,0.618037,0.615935,0.61355,0.61086,0.607839,0.604461,0.600694,0.596504,0.591855,0.586706,0.581014,0.574729,0.567802,0.560176,0.551792,0.542588,0.532495,0.521443,0.509357,0.496159,0.48177,0.466105,0.44908,0.430612,0.410614,0.389006,0.365707,0.340644,0.313748,0.284963,0.254241,0.22155,0.186869,0.150202,0.111567,0.071002,0.028571,-0.0156435,-0.0615416,-0.109002,-0.157896},
{-2.59331,-2.56401,-2.53469,-2.50535,-2.47599,-2.4466,-2.41719,-2.38776,-2.3583,-2.32881,-2.2993,-2.26975,-2.24017,-2.21056,-2.18092,-2.15124,-2.12153,-2.09177,-2.06198,-2.03214,-2.00227,-1.97234,-1.94237,-1.91236,-1.88229,-1.85218,-1.82201,-1.79178,-1.7615,-1.73117,-1.70077,-1.67032,-1.6398,-1.60923,-1.57858,-1.54788,-1.5171,-1.48627,-1.45536,-1.42439,-1.39335,-1.36224,-1.33107,-1.29983,-1.26852,-1.23715,-1.20572,-1.17424,-1.14269,-1.11109,-1.07945,-1.04776,-1.01603,-0.984273,-0.952489,-0.920687,-0.888876,-0.857066,-0.825267,-0.793491,-0.76175,-0.730056,-0.698424,-0.666869,-0.635407,-0.604053,-0.572826,-0.541742,-0.51082,-0.48008,-0.449539,-0.419217,-0.389134,-0.359308,-0.32976,-0.300507,-0.271568,-0.242962,-0.214706,-0.186817,-0.15931,-0.1322,-0.105503,-0.0792317,-0.053398,-0.0280134,-0.00308855,0.0213672,0.0453455,0.0688387,0.0918402,0.114344,0.136346,0.157841,0.178827,0.1993,0.219258,0.2387,0.257624,0.276031,0.29392,0.311291,0.328146,0.344484,0.360308,0.37562,0.390422,0.404716,0.418505,0.431793,0.444583,0.456881,0.468689,0.480015,0.490862,0.501238,0.51115,0.520604,0.529609,0.538172,0.546303,0.554011,0.561306,0.568198,0.574699,0.580818,0.586568,0.59196,0.597006,0.601718,0.606108,0.610188,0.61397,0.617465,0.620686,0.623643,0.626347,0.62881,0.631039,0.633046,0.634838,0.636424,0.63781,0.639003,0.640009,0.640831,0.641474,0.641939,0.642229,0.642343,0.64228,0.642037,0.641611,0.640996,0.640186,0.639171,0.637942,0.636486,0.63479,0.632835,0.630606,0.628079,0.625232,0.62204,0.618472,0.614497,0.61008,0.605183,0.599764,0.593777,0.587173,0.5799,0.5719,0.563113,0.553473,0.542912,0.531359,0.518737,0.504968,0.48997,0.473661,0.455956,0.436771,0.416023,0.393631,0.369518,0.343614,0.315855,0.286189,0.254573,0.220981,0.185402,0.147845,0.108337,0.0669256,0.0236811,-0.0213056,-0.0679284,-0.116061,-0.165569},
{-2.61386,-2.58456,-2.55523,-2.52589,-2.49652,-2.46713,-2.43771,-2.40827,-2.3788,-2.34931,-2.31979,-2.29023,-2.26064,-2.23102,-2.20137,-2.17168,-2.14195,-2.11218,-2.08237,-2.05252,-2.02262,-1.99268,-1.96269,-1.93265,-1.90256,-1.87242,-1.84222,-1.81197,-1.78166,-1.75129,-1.72086,-1.69036,-1.65981,-1.62918,-1.59849,-1.56773,-1.5369,-1.50601,-1.47504,-1.444,-1.41288,-1.3817,-1.35044,-1.31911,-1.28771,-1.25624,-1.2247,-1.19309,-1.16142,-1.12969,-1.0979,-1.06606,-1.03417,-1.00224,-0.970269,-0.938271,-0.906251,-0.874219,-0.842184,-0.810157,-0.778151,-0.746176,-0.714248,-0.682379,-0.650586,-0.618885,-0.587292,-0.555825,-0.524502,-0.493342,-0.462364,-0.431588,-0.401032,-0.370717,-0.340663,-0.310888,-0.281413,-0.252255,-0.223435,-0.194968,-0.166873,-0.139165,-0.111861,-0.0849747,-0.0585197,-0.0325089,-0.00695406,0.018134,0.0427456,0.0668718,0.0905048,0.113638,0.136264,0.158379,0.179978,0.201057,0.221612,0.241643,0.261146,0.28012,0.298565,0.31648,0.333865,0.350721,0.367049,0.382851,0.398127,0.412881,0.427115,0.440833,0.454038,0.466734,0.478926,0.490619,0.50182,0.512533,0.522767,0.532528,0.541825,0.550666,0.55906,0.567017,0.574548,0.581663,0.588372,0.594688,0.600622,0.606186,0.611393,0.616254,0.620783,0.624991,0.628891,0.632495,0.635815,0.638863,0.641649,0.644185,0.64648,0.648544,0.650386,0.652015,0.653437,0.654659,0.655686,0.656524,0.657175,0.657643,0.657928,0.65803,0.657949,0.657681,0.657222,0.656567,0.655709,0.654639,0.653345,0.651816,0.650036,0.647989,0.645656,0.643015,0.640041,0.636709,0.632987,0.628844,0.624244,0.619147,0.61351,0.607286,0.600427,0.592876,0.584578,0.575469,0.565484,0.554554,0.542605,0.529562,0.515345,0.499873,0.483063,0.464831,0.445094,0.423769,0.400778,0.376045,0.349503,0.321091,0.290761,0.258476,0.224213,0.187966,0.14975,0.109598,0.0675647,0.0237241,-0.0218275,-0.0689794,-0.117602,-0.167559},
{-2.634,-2.60469,-2.57536,-2.54601,-2.51664,-2.48724,-2.45782,-2.42838,-2.3989,-2.3694,-2.33987,-2.3103,-2.28071,-2.25108,-2.22141,-2.19171,-2.16197,-2.13218,-2.10236,-2.07249,-2.04258,-2.01262,-1.98261,-1.95255,-1.92244,-1.89227,-1.86205,-1.83177,-1.80143,-1.77102,-1.74056,-1.71003,-1.67943,-1.64876,-1.61803,-1.58722,-1.55634,-1.52538,-1.49435,-1.46324,-1.43206,-1.4008,-1.36946,-1.33804,-1.30655,-1.27498,-1.24334,-1.21162,-1.17983,-1.14797,-1.11605,-1.08406,-1.05201,-1.01992,-0.98777,-0.955584,-0.923364,-0.891119,-0.858858,-0.826592,-0.79433,-0.762086,-0.729872,-0.697702,-0.665591,-0.633555,-0.60161,-0.569773,-0.538062,-0.506496,-0.475094,-0.443876,-0.412862,-0.38207,-0.351523,-0.321239,-0.291239,-0.261542,-0.232168,-0.203134,-0.174461,-0.146164,-0.11826,-0.0907662,-0.0636965,-0.0370652,-0.0108853,0.0148311,0.0400728,0.0648298,0.0890927,0.112853,0.136105,0.15884,0.181053,0.20274,0.223896,0.244518,0.264603,0.284148,0.303153,0.321617,0.339538,0.356916,0.373753,0.39005,0.405806,0.421026,0.435711,0.449864,0.463489,0.476589,0.48917,0.501236,0.512794,0.52385,0.53441,0.544483,0.554076,0.563199,0.571861,0.580071,0.58784,0.59518,0.602102,0.608616,0.614737,0.620475,0.625844,0.630856,0.635524,0.639862,0.64388,0.647593,0.651012,0.654149,0.657016,0.659624,0.661982,0.664102,0.665992,0.66766,0.669114,0.67036,0.671405,0.672253,0.672906,0.673369,0.673641,0.673724,0.673614,0.67331,0.672808,0.6721,0.67118,0.670038,0.668664,0.667042,0.665159,0.662997,0.660536,0.657753,0.654623,0.651119,0.64721,0.642861,0.638036,0.632694,0.626791,0.620279,0.613107,0.605219,0.596556,0.587055,0.57665,0.565268,0.552838,0.539281,0.524519,0.508469,0.491049,0.472175,0.451765,0.429739,0.406019,0.380533,0.353217,0.324015,0.292882,0.259786,0.224712,0.187662,0.148656,0.107733,0.0649568,0.0204074,-0.0258123,-0.0735873,-0.122783,-0.173264},
{-2.65375,-2.62444,-2.5951,-2.56575,-2.53637,-2.50697,-2.47754,-2.44809,-2.41861,-2.3891,-2.35956,-2.32998,-2.30038,-2.27074,-2.24106,-2.21135,-2.1816,-2.1518,-2.12196,-2.09208,-2.06215,-2.03217,-2.00215,-1.97207,-1.94193,-1.91174,-1.8815,-1.85119,-1.82082,-1.79039,-1.75989,-1.72932,-1.69869,-1.66798,-1.6372,-1.60634,-1.57541,-1.5444,-1.51331,-1.48214,-1.45089,-1.41956,-1.38814,-1.35665,-1.32507,-1.2934,-1.26166,-1.22983,-1.19793,-1.16595,-1.13389,-1.10177,-1.06957,-1.03731,-1.005,-0.972633,-0.940221,-0.907773,-0.875295,-0.842798,-0.810292,-0.777789,-0.7453,-0.71284,-0.680423,-0.648064,-0.615778,-0.583583,-0.551497,-0.519539,-0.487726,-0.456079,-0.424618,-0.393364,-0.362335,-0.331554,-0.301041,-0.270816,-0.240899,-0.211309,-0.182066,-0.153189,-0.124694,-0.0966002,-0.0689224,-0.0416762,-0.0148762,0.0114644,0.037333,0.0627182,0.0876094,0.111997,0.135873,0.159229,0.182058,0.204354,0.226113,0.247329,0.268,0.288121,0.30769,0.326706,0.345168,0.363075,0.380426,0.397223,0.413466,0.429157,0.444298,0.458893,0.472943,0.486454,0.499429,0.511874,0.523795,0.535198,0.546091,0.55648,0.566375,0.575784,0.584718,0.593186,0.601198,0.608767,0.615905,0.622622,0.628932,0.634848,0.640383,0.645549,0.65036,0.654828,0.658968,0.662792,0.666313,0.669542,0.672492,0.675173,0.677598,0.679775,0.681714,0.683423,0.684911,0.686184,0.687248,0.688108,0.688766,0.689226,0.689488,0.689553,0.689418,0.689081,0.688538,0.687781,0.686803,0.685594,0.684142,0.682434,0.680454,0.678183,0.675601,0.672684,0.669407,0.665741,0.661655,0.657112,0.652076,0.646504,0.640352,0.63357,0.626106,0.617903,0.608901,0.599037,0.588241,0.576443,0.563568,0.549539,0.534275,0.517696,0.499719,0.48026,0.459239,0.436576,0.412198,0.386033,0.358022,0.328111,0.296261,0.262446,0.226653,0.188892,0.149189,0.10759,0.0641631,0.0189963,-0.0278061,-0.0761206,-0.125816,-0.176749},
{-2.67311,-2.6438,-2.61446,-2.5851,-2.55572,-2.52631,-2.49688,-2.46742,-2.43793,-2.40842,-2.37887,-2.34929,-2.31968,-2.29003,-2.26034,-2.23062,-2.20085,-2.17104,-2.14119,-2.1113,-2.08135,-2.05136,-2.02132,-1.99122,-1.96106,-1.93085,-1.90058,-1.87025,-1.83985,-1.80939,-1.77886,-1.74826,-1.71759,-1.68684,-1.65602,-1.62512,-1.59414,-1.56308,-1.53193,-1.50071,-1.46939,-1.43799,-1.4065,-1.37493,-1.34326,-1.31151,-1.27967,-1.24774,-1.21573,-1.18363,-1.15145,-1.11919,-1.08685,-1.05444,-1.02197,-0.989427,-0.956831,-0.924186,-0.8915,-0.858782,-0.826041,-0.793289,-0.760536,-0.727797,-0.695084,-0.662413,-0.629799,-0.597259,-0.56481,-0.53247,-0.500259,-0.468197,-0.436302,-0.404596,-0.373099,-0.341833,-0.310818,-0.280076,-0.249626,-0.219491,-0.189689,-0.16024,-0.131163,-0.102476,-0.0741969,-0.0463421,-0.0189273,0.00803291,0.0345246,0.0605351,0.0860524,0.111066,0.135565,0.159542,0.182987,0.205895,0.228258,0.250071,0.27133,0.29203,0.312168,0.331741,0.350748,0.369187,0.387058,0.40436,0.421094,0.437262,0.452865,0.467905,0.482387,0.496312,0.509687,0.522516,0.534805,0.54656,0.557789,0.568499,0.578699,0.588399,0.597607,0.606335,0.614594,0.622395,0.62975,0.636672,0.643173,0.649268,0.654968,0.660288,0.665241,0.669841,0.674102,0.678035,0.681655,0.684973,0.688003,0.690755,0.69324,0.695469,0.697452,0.699197,0.700711,0.702002,0.703076,0.703936,0.704588,0.705032,0.70527,0.705301,0.705124,0.704736,0.70413,0.703301,0.702239,0.700935,0.699376,0.697548,0.695434,0.693014,0.690267,0.687169,0.683692,0.679808,0.675482,0.670678,0.665357,0.659476,0.652989,0.645843,0.637986,0.62936,0.619902,0.609547,0.598226,0.585866,0.572393,0.557727,0.541788,0.524495,0.505766,0.485519,0.463675,0.440155,0.41489,0.387812,0.358865,0.328003,0.295191,0.260411,0.223658,0.18495,0.144321,0.101826,0.0575425,0.0115655,-0.0359943,-0.085008,-0.135341,-0.186851},
{-2.69211,-2.66279,-2.63345,-2.60409,-2.5747,-2.54529,-2.51585,-2.48639,-2.4569,-2.42737,-2.39782,-2.36823,-2.33861,-2.30895,-2.27926,-2.24952,-2.21975,-2.18993,-2.16007,-2.13016,-2.1002,-2.07019,-2.04013,-2.01002,-1.97984,-1.94961,-1.91932,-1.88896,-1.85854,-1.82805,-1.79749,-1.76686,-1.73615,-1.70537,-1.67451,-1.64356,-1.61254,-1.58143,-1.55023,-1.51894,-1.48757,-1.4561,-1.42455,-1.3929,-1.36115,-1.32931,-1.29738,-1.26536,-1.23324,-1.20103,-1.16872,-1.13634,-1.10386,-1.07131,-1.03867,-1.00597,-0.973197,-0.940364,-0.907478,-0.874546,-0.841579,-0.808587,-0.77558,-0.742571,-0.709574,-0.676601,-0.64367,-0.610795,-0.577995,-0.545286,-0.512689,-0.480222,-0.447905,-0.415759,-0.383806,-0.352066,-0.320561,-0.289312,-0.25834,-0.227668,-0.197316,-0.167304,-0.137653,-0.108381,-0.0795071,-0.0510495,-0.0230248,0.00455082,0.0316623,0.0582954,0.0844371,0.110075,0.135198,0.159796,0.183859,0.20738,0.23035,0.252763,0.274613,0.295896,0.316607,0.336742,0.3563,0.375277,0.393673,0.411487,0.428719,0.445369,0.461441,0.476934,0.491854,0.506202,0.519983,0.533203,0.545866,0.55798,0.569553,0.580591,0.591103,0.601099,0.61059,0.619585,0.628097,0.636136,0.643717,0.65085,0.65755,0.66383,0.669704,0.675186,0.68029,0.68503,0.689419,0.693471,0.697199,0.700617,0.703738,0.706571,0.709131,0.711426,0.713466,0.715262,0.71682,0.718147,0.719251,0.720135,0.720803,0.721258,0.7215,0.72153,0.721345,0.720942,0.720316,0.71946,0.718366,0.717022,0.715416,0.713534,0.711359,0.70887,0.706046,0.702863,0.699292,0.695304,0.690866,0.685939,0.680485,0.67446,0.667816,0.660503,0.652465,0.643646,0.633981,0.623406,0.611852,0.599244,0.585509,0.570568,0.55434,0.536745,0.5177,0.497126,0.474942,0.451074,0.425452,0.39801,0.368694,0.337459,0.304275,0.269124,0.232004,0.192936,0.151957,0.109124,0.0645163,0.018231,-0.0296196,-0.0789056,-0.129492,-0.181236},
{-2.71076,-2.68144,-2.65209,-2.62273,-2.59334,-2.56392,-2.53448,-2.50501,-2.47551,-2.44598,-2.41642,-2.38683,-2.3572,-2.32753,-2.29783,-2.26809,-2.2383,-2.20847,-2.1786,-2.14868,-2.1187,-2.08868,-2.0586,-2.02847,-1.99828,-1.96803,-1.93772,-1.90734,-1.87689,-1.84638,-1.81579,-1.78512,-1.75439,-1.72357,-1.69267,-1.66168,-1.63061,-1.59946,-1.56821,-1.53687,-1.50544,-1.47391,-1.44229,-1.41056,-1.37874,-1.34682,-1.3148,-1.28268,-1.25046,-1.21815,-1.18573,-1.15322,-1.12061,-1.08792,-1.05514,-1.02227,-0.989328,-0.956314,-0.923235,-0.890099,-0.856915,-0.823691,-0.790439,-0.75717,-0.723898,-0.690635,-0.657396,-0.624198,-0.591058,-0.557992,-0.525019,-0.492159,-0.459432,-0.426859,-0.39446,-0.362258,-0.330273,-0.298529,-0.267046,-0.235848,-0.204955,-0.17439,-0.144172,-0.114323,-0.0848617,-0.0558078,-0.0271791,0.0010069,0.0287338,0.055986,0.0827491,0.10901,0.134755,0.159973,0.184654,0.208788,0.232367,0.255381,0.277826,0.299694,0.320981,0.341682,0.361793,0.381313,0.400238,0.418568,0.436302,0.453441,0.469985,0.485937,0.501298,0.516073,0.530265,0.54388,0.556922,0.5694,0.581319,0.592688,0.603516,0.613812,0.623587,0.632851,0.641617,0.649897,0.657703,0.665048,0.671947,0.678412,0.684459,0.690101,0.695353,0.700229,0.704743,0.70891,0.712742,0.716254,0.719458,0.722366,0.72499,0.727341,0.729428,0.731262,0.73285,0.734199,0.735315,0.736204,0.736868,0.737311,0.737532,0.737533,0.737309,0.736858,0.736175,0.735252,0.734079,0.732646,0.73094,0.728946,0.726644,0.724016,0.721038,0.717685,0.713929,0.709737,0.705076,0.699908,0.694191,0.68788,0.680927,0.67328,0.664883,0.655677,0.645597,0.634578,0.622549,0.609436,0.595163,0.579652,0.562823,0.544594,0.524886,0.503617,0.480712,0.456097,0.429704,0.401472,0.371351,0.339302,0.305298,0.269329,0.2314,0.191538,0.149787,0.10621,0.0608943,0.0139429,-0.0345276,-0.0843841,-0.13549,-0.187702},
{-2.72907,-2.69974,-2.6704,-2.64102,-2.61163,-2.58221,-2.55276,-2.52329,-2.49379,-2.46425,-2.43468,-2.40508,-2.37545,-2.34578,-2.31606,-2.28631,-2.25652,-2.22668,-2.19679,-2.16686,-2.13688,-2.10684,-2.07675,-2.0466,-2.01639,-1.98612,-1.95579,-1.92539,-1.89492,-1.86438,-1.83377,-1.80307,-1.7723,-1.74145,-1.71052,-1.67949,-1.64838,-1.61718,-1.58589,-1.5545,-1.52301,-1.49142,-1.45973,-1.42794,-1.39605,-1.36405,-1.33194,-1.29973,-1.26742,-1.235,-1.20247,-1.16984,-1.13711,-1.10428,-1.07135,-1.03834,-1.00523,-0.972042,-0.938777,-0.905444,-0.872049,-0.838603,-0.805114,-0.771595,-0.738056,-0.704512,-0.670977,-0.637466,-0.603996,-0.570583,-0.537246,-0.504005,-0.470878,-0.437888,-0.405055,-0.372401,-0.339948,-0.307718,-0.275735,-0.24402,-0.212596,-0.181486,-0.15071,-0.120291,-0.0902494,-0.0606053,-0.0313782,-0.00258656,0.0257517,0.0536199,0.081002,0.107883,0.13425,0.160088,0.185387,0.210136,0.234324,0.257943,0.280985,0.303442,0.325308,0.346579,0.367249,0.387316,0.406776,0.425628,0.44387,0.461502,0.478525,0.494941,0.510751,0.525958,0.540567,0.554583,0.568011,0.580857,0.593129,0.604835,0.615984,0.626586,0.636651,0.64619,0.655216,0.663741,0.671778,0.67934,0.686442,0.693098,0.699322,0.705129,0.710534,0.715551,0.720196,0.724481,0.728423,0.732034,0.735327,0.738315,0.741009,0.743422,0.745563,0.747442,0.749067,0.750445,0.751583,0.752486,0.753156,0.753598,0.75381,0.753794,0.753546,0.753063,0.752339,0.751367,0.750137,0.748638,0.746856,0.744775,0.742378,0.739643,0.736547,0.733064,0.729164,0.724816,0.719985,0.714631,0.708712,0.702184,0.694996,0.687096,0.678427,0.668929,0.658538,0.647186,0.634803,0.621314,0.606644,0.590714,0.573444,0.554754,0.534563,0.512793,0.489368,0.464217,0.437275,0.408483,0.377794,0.345172,0.310594,0.274055,0.235563,0.195151,0.152866,0.108778,0.0629749,0.015565,-0.033333,-0.083584,-0.13505,-0.187592},
{-2.74705,-2.71772,-2.68837,-2.659,-2.6296,-2.60017,-2.57072,-2.54124,-2.51174,-2.4822,-2.45262,-2.42302,-2.39338,-2.3637,-2.33398,-2.30422,-2.27441,-2.24457,-2.21467,-2.18473,-2.15473,-2.12468,-2.09458,-2.06441,-2.03419,-2.0039,-1.97355,-1.94313,-1.91264,-1.88207,-1.85143,-1.82072,-1.78992,-1.75903,-1.72806,-1.697,-1.66585,-1.63461,-1.60327,-1.57183,-1.54029,-1.50864,-1.47689,-1.44504,-1.41307,-1.381,-1.34881,-1.31652,-1.28411,-1.25159,-1.21896,-1.18621,-1.15336,-1.1204,-1.08734,-1.05417,-1.02091,-0.987553,-0.95411,-0.920586,-0.886989,-0.853328,-0.819611,-0.785849,-0.752054,-0.718239,-0.684416,-0.650602,-0.616812,-0.583062,-0.549372,-0.51576,-0.482245,-0.448849,-0.415593,-0.382498,-0.349587,-0.316883,-0.284408,-0.252187,-0.220241,-0.188594,-0.157269,-0.126288,-0.0956736,-0.065446,-0.0356263,-0.00623434,0.0227108,0.051191,0.079189,0.106689,0.133675,0.160133,0.186049,0.211413,0.236212,0.260436,0.284077,0.307125,0.329575,0.351419,0.372652,0.393269,0.413268,0.432646,0.451401,0.469531,0.487038,0.503922,0.520186,0.535831,0.550862,0.565284,0.579101,0.59232,0.604949,0.616996,0.62847,0.639381,0.649739,0.659557,0.668845,0.677618,0.685887,0.693669,0.700975,0.707822,0.714224,0.720196,0.725753,0.730911,0.735684,0.740088,0.744136,0.747842,0.751221,0.754284,0.757045,0.759514,0.761702,0.763619,0.765272,0.766671,0.76782,0.768724,0.769388,0.769814,0.770002,0.769952,0.769661,0.769125,0.768337,0.767291,0.765977,0.764381,0.76249,0.760288,0.757756,0.754871,0.75161,0.747946,0.743848,0.739284,0.734217,0.728606,0.72241,0.715581,0.708068,0.699819,0.690774,0.680872,0.670049,0.658236,0.645362,0.631351,0.616128,0.599614,0.581729,0.562393,0.541528,0.519055,0.494903,0.469001,0.441288,0.411709,0.380222,0.346796,0.311413,0.274075,0.234796,0.193615,0.150587,0.105788,0.0593133,0.0112743,-0.0382058,-0.0889892,-0.140938,-0.193913},
{-2.76471,-2.73538,-2.70603,-2.67665,-2.64725,-2.61782,-2.58837,-2.55889,-2.52937,-2.49983,-2.47025,-2.44064,-2.41099,-2.38131,-2.35158,-2.32181,-2.292,-2.26214,-2.23224,-2.20228,-2.17228,-2.14222,-2.1121,-2.08192,-2.05168,-2.02138,-1.99101,-1.96057,-1.93006,-1.89947,-1.86881,-1.83806,-1.80723,-1.77632,-1.74532,-1.71422,-1.68304,-1.65175,-1.62037,-1.58888,-1.55729,-1.52559,-1.49378,-1.46186,-1.42983,-1.39768,-1.36542,-1.33304,-1.30055,-1.26793,-1.2352,-1.20234,-1.16937,-1.13629,-1.10309,-1.06979,-1.03637,-1.00285,-0.969238,-0.935531,-0.901738,-0.867869,-0.833932,-0.799936,-0.765892,-0.731814,-0.697713,-0.663605,-0.629505,-0.595429,-0.561395,-0.527422,-0.49353,-0.459738,-0.426068,-0.392543,-0.359184,-0.326015,-0.293059,-0.260341,-0.227882,-0.195708,-0.163842,-0.132307,-0.101125,-0.0703207,-0.0399141,-0.00992681,0.0196209,0.0487096,0.0773207,0.105437,0.133041,0.160117,0.186652,0.212631,0.238042,0.262874,0.287116,0.310759,0.333794,0.356215,0.378015,0.399189,0.419732,0.439641,0.458914,0.477548,0.495545,0.512904,0.529627,0.545716,0.561175,0.576009,0.590221,0.60382,0.616813,0.629207,0.641011,0.652237,0.662894,0.672995,0.682552,0.691577,0.700085,0.70809,0.715607,0.72265,0.729235,0.735377,0.741092,0.746395,0.751303,0.755829,0.759989,0.763797,0.767266,0.770411,0.773244,0.775776,0.778018,0.77998,0.78167,0.783097,0.784266,0.785183,0.785851,0.786273,0.786449,0.786379,0.78606,0.785487,0.784654,0.783554,0.782176,0.780508,0.778535,0.77624,0.773603,0.770604,0.767216,0.763412,0.759161,0.75443,0.749181,0.743374,0.736964,0.729905,0.722146,0.71363,0.7043,0.694094,0.682946,0.670787,0.657546,0.643147,0.627515,0.61057,0.592233,0.572426,0.551071,0.52809,0.503413,0.476974,0.448711,0.418573,0.386522,0.352529,0.316583,0.278686,0.238859,0.197145,0.153603,0.108313,0.0613733,0.012899,-0.036985,-0.0881397,-0.140427,-0.193709},
{-2.78207,-2.75274,-2.72338,-2.694,-2.6646,-2.63517,-2.60571,-2.57622,-2.54671,-2.51716,-2.48758,-2.45796,-2.42831,-2.39861,-2.36888,-2.33911,-2.30929,-2.27942,-2.24951,-2.21954,-2.18953,-2.15945,-2.12932,-2.09913,-2.06888,-2.03856,-2.00817,-1.97771,-1.94718,-1.91658,-1.88589,-1.85512,-1.82427,-1.79332,-1.76229,-1.73116,-1.69994,-1.66862,-1.63719,-1.60566,-1.57402,-1.54227,-1.5104,-1.47843,-1.44633,-1.41411,-1.38178,-1.34932,-1.31673,-1.28403,-1.25119,-1.21824,-1.18516,-1.15195,-1.11863,-1.08518,-1.05162,-1.01795,-0.984167,-0.950282,-0.916302,-0.882232,-0.848081,-0.813859,-0.779575,-0.745242,-0.710872,-0.676479,-0.642078,-0.607685,-0.573317,-0.538993,-0.504733,-0.470555,-0.436483,-0.402537,-0.36874,-0.335116,-0.301689,-0.268482,-0.23552,-0.202827,-0.170427,-0.138346,-0.106605,-0.07523,-0.0442426,-0.0136652,0.0164805,0.0461738,0.0753947,0.104124,0.132345,0.160039,0.187191,0.213786,0.23981,0.265251,0.290096,0.314336,0.337961,0.360962,0.383333,0.405067,0.426158,0.446603,0.466399,0.485543,0.504035,0.521874,0.539062,0.555601,0.571493,0.586744,0.601358,0.615342,0.628703,0.641449,0.653589,0.665135,0.676096,0.686484,0.696313,0.705596,0.714346,0.722579,0.730309,0.737552,0.744323,0.750638,0.756514,0.761965,0.767009,0.77166,0.775934,0.779845,0.783408,0.786636,0.789542,0.792138,0.794435,0.796443,0.798171,0.799627,0.800817,0.801747,0.80242,0.802839,0.803003,0.802914,0.802566,0.801957,0.80108,0.799926,0.798486,0.796745,0.79469,0.792303,0.789564,0.78645,0.782936,0.778994,0.774592,0.769697,0.764269,0.758268,0.751649,0.744365,0.736362,0.727586,0.717978,0.707474,0.696009,0.683514,0.669917,0.655142,0.639113,0.621753,0.602981,0.582721,0.560894,0.537427,0.512248,0.485295,0.456508,0.42584,0.393254,0.358725,0.322246,0.283822,0.243481,0.201266,0.157243,0.111494,0.0641205,0.015239,-0.0350217,-0.0865228,-0.139127,-0.192696},
{-2.79914,-2.7698,-2.74044,-2.71106,-2.68165,-2.65222,-2.62276,-2.59327,-2.56375,-2.5342,-2.50461,-2.47499,-2.44533,-2.41563,-2.38589,-2.35611,-2.32628,-2.29641,-2.26649,-2.23651,-2.20649,-2.1764,-2.14626,-2.11606,-2.08579,-2.05546,-2.02505,-1.99458,-1.96403,-1.9334,-1.90269,-1.8719,-1.84102,-1.81005,-1.77899,-1.74783,-1.71657,-1.68521,-1.65375,-1.62217,-1.59049,-1.55869,-1.52677,-1.49473,-1.46257,-1.43029,-1.39788,-1.36535,-1.33268,-1.29989,-1.26696,-1.2339,-1.20072,-1.1674,-1.13395,-1.10037,-1.06667,-1.03284,-0.998902,-0.964847,-0.930684,-0.89642,-0.862063,-0.827621,-0.793105,-0.758525,-0.723894,-0.689225,-0.654532,-0.619831,-0.585139,-0.550473,-0.515854,-0.481301,-0.446835,-0.412478,-0.378254,-0.344185,-0.310295,-0.276609,-0.243152,-0.209949,-0.177024,-0.144404,-0.112111,-0.080172,-0.0486096,-0.0174476,0.0132914,0.0435852,0.0734126,0.102753,0.131588,0.159898,0.187667,0.214878,0.241516,0.267566,0.293017,0.317857,0.342074,0.365659,0.388604,0.410902,0.432546,0.453532,0.473856,0.493515,0.512507,0.530832,0.54849,0.565484,0.581815,0.597489,0.61251,0.626884,0.640618,0.653722,0.666203,0.678073,0.689343,0.700024,0.71013,0.719674,0.72867,0.737135,0.745082,0.752527,0.759488,0.765979,0.772018,0.777621,0.782803,0.787582,0.791972,0.795988,0.799646,0.802959,0.80594,0.808602,0.810955,0.813011,0.814778,0.816264,0.817476,0.81842,0.819098,0.819514,0.819669,0.81956,0.819186,0.818542,0.817621,0.816414,0.814912,0.813101,0.810965,0.808487,0.805647,0.802421,0.798784,0.794707,0.790157,0.7851,0.779498,0.773308,0.766485,0.758981,0.750742,0.741714,0.731836,0.721045,0.709275,0.696456,0.682515,0.667379,0.650971,0.633213,0.614026,0.593334,0.571059,0.54713,0.521477,0.494039,0.464758,0.433591,0.400502,0.365472,0.328494,0.28958,0.248759,0.206079,0.161608,0.115433,0.0676583,0.0184006,-0.0322088,-0.0840309,-0.136929,-0.190765},
{-2.81592,-2.78658,-2.75722,-2.72783,-2.69843,-2.66899,-2.63952,-2.61003,-2.58051,-2.55095,-2.52136,-2.49173,-2.46207,-2.43237,-2.40262,-2.37283,-2.343,-2.31312,-2.28319,-2.25321,-2.22317,-2.19308,-2.16292,-2.13271,-2.10243,-2.07208,-2.04166,-2.01117,-1.98061,-1.94996,-1.91923,-1.88842,-1.85751,-1.82652,-1.79543,-1.76424,-1.73295,-1.70155,-1.67005,-1.63843,-1.6067,-1.57485,-1.54289,-1.51079,-1.47858,-1.44623,-1.41375,-1.38115,-1.3484,-1.31552,-1.2825,-1.24935,-1.21606,-1.18263,-1.14906,-1.11535,-1.08152,-1.04755,-1.01345,-0.979229,-0.94489,-0.910439,-0.875882,-0.841229,-0.806487,-0.771669,-0.736784,-0.701847,-0.66687,-0.63187,-0.596862,-0.561865,-0.526896,-0.491977,-0.457127,-0.42237,-0.387726,-0.353221,-0.318879,-0.284723,-0.250781,-0.217076,-0.183634,-0.150482,-0.117645,-0.085149,-0.0530179,-0.0212768,0.0100503,0.0409402,0.0713703,0.101319,0.130766,0.15969,0.188075,0.215901,0.243152,0.269814,0.295871,0.321312,0.346123,0.370295,0.393818,0.416683,0.438884,0.460415,0.481271,0.501449,0.520946,0.539761,0.557894,0.575347,0.592123,0.608224,0.623656,0.638425,0.652537,0.666002,0.678828,0.691026,0.702607,0.713584,0.723969,0.733777,0.743022,0.75172,0.759885,0.767535,0.774685,0.781353,0.787554,0.793307,0.798627,0.803531,0.808034,0.812153,0.815902,0.819295,0.822346,0.825068,0.827471,0.829566,0.831364,0.832871,0.834095,0.83504,0.835712,0.836111,0.836239,0.836095,0.835675,0.834974,0.833987,0.832703,0.831112,0.8292,0.826952,0.824348,0.821369,0.817989,0.814184,0.809922,0.805171,0.799895,0.794055,0.787609,0.780509,0.772706,0.764147,0.754775,0.744529,0.733346,0.721158,0.707896,0.693486,0.677854,0.660924,0.642618,0.622859,0.601569,0.578675,0.554106,0.527794,0.499681,0.469713,0.43785,0.404061,0.368331,0.330659,0.29106,0.249572,0.206247,0.161158,0.114396,0.0660707,0.0163021,-0.0347757,-0.0870263,-0.14031,-0.194493},
{-2.83242,-2.80308,-2.77372,-2.74433,-2.71492,-2.68548,-2.65602,-2.62652,-2.59699,-2.56743,-2.53784,-2.50821,-2.47854,-2.44883,-2.41908,-2.38929,-2.35945,-2.32956,-2.29962,-2.26963,-2.23958,-2.20948,-2.17932,-2.14909,-2.1188,-2.08844,-2.05801,-2.0275,-1.99692,-1.96625,-1.93551,-1.90467,-1.87374,-1.84272,-1.81161,-1.78039,-1.74907,-1.71764,-1.6861,-1.65444,-1.62267,-1.59078,-1.55876,-1.52662,-1.49434,-1.46194,-1.42939,-1.39671,-1.36389,-1.33093,-1.29783,-1.26458,-1.23119,-1.19765,-1.16397,-1.13014,-1.09617,-1.06206,-1.02781,-0.993433,-0.958924,-0.924291,-0.889541,-0.854682,-0.819723,-0.784672,-0.749542,-0.714344,-0.679092,-0.643801,-0.608486,-0.573166,-0.537857,-0.50258,-0.467356,-0.432206,-0.397154,-0.362222,-0.327435,-0.292819,-0.258399,-0.2242,-0.19025,-0.156574,-0.1232,-0.0901524,-0.0574586,-0.0251439,0.00676667,0.0382485,0.0692779,0.0998318,0.129888,0.159426,0.188425,0.216866,0.244732,0.272006,0.298672,0.324716,0.350124,0.374886,0.39899,0.422427,0.44519,0.46727,0.488664,0.509366,0.529373,0.548684,0.567299,0.585218,0.602443,0.618978,0.634827,0.649996,0.664493,0.678325,0.691502,0.704034,0.715933,0.727211,0.737882,0.747959,0.757458,0.766394,0.774783,0.782642,0.789988,0.796837,0.803207,0.809115,0.814578,0.819613,0.824236,0.828463,0.832309,0.835789,0.838916,0.841704,0.844165,0.846308,0.848144,0.849681,0.850926,0.851884,0.852559,0.852954,0.853069,0.852903,0.852452,0.851713,0.850678,0.849337,0.847679,0.845691,0.843357,0.840657,0.83757,0.834071,0.830135,0.82573,0.820824,0.815379,0.809356,0.802712,0.795399,0.787368,0.778564,0.768931,0.758407,0.746928,0.734426,0.720832,0.706073,0.690074,0.672759,0.65405,0.633872,0.612149,0.588807,0.563776,0.536992,0.508398,0.477942,0.445588,0.411307,0.375087,0.33693,0.296856,0.254905,0.211133,0.165616,0.118448,0.0697408,0.0196161,-0.0317912,-0.0843444,-0.137905,-0.19234},
{-2.84866,-2.81932,-2.78996,-2.76057,-2.73115,-2.70171,-2.67224,-2.64274,-2.61321,-2.58365,-2.55405,-2.52441,-2.49474,-2.46503,-2.43527,-2.40547,-2.37563,-2.34574,-2.31579,-2.28579,-2.25574,-2.22563,-2.19545,-2.16522,-2.13491,-2.10454,-2.0741,-2.04358,-2.01298,-1.9823,-1.95153,-1.92067,-1.88973,-1.85868,-1.82754,-1.79629,-1.76494,-1.73348,-1.70191,-1.67021,-1.6384,-1.60647,-1.5744,-1.54221,-1.50988,-1.47741,-1.44481,-1.41206,-1.37917,-1.34613,-1.31294,-1.2796,-1.24611,-1.21247,-1.17868,-1.14473,-1.11064,-1.07639,-1.042,-1.00747,-0.972792,-0.937984,-0.903047,-0.867989,-0.832818,-0.797543,-0.762174,-0.726724,-0.691204,-0.65563,-0.620017,-0.584381,-0.548741,-0.513116,-0.477527,-0.441994,-0.406541,-0.371192,-0.33597,-0.300902,-0.266013,-0.231329,-0.196878,-0.162687,-0.128782,-0.0951914,-0.0619415,-0.0290592,0.00342929,0.0354982,0.0671225,0.098278,0.128941,0.159089,0.188702,0.217757,0.246237,0.274122,0.301397,0.328045,0.354053,0.379406,0.404094,0.428106,0.451432,0.474066,0.496,0.51723,0.537752,0.557563,0.576663,0.595051,0.61273,0.629702,0.645972,0.661546,0.67643,0.690632,0.704163,0.717031,0.72925,0.740831,0.751788,0.762135,0.771888,0.781063,0.789675,0.797742,0.805281,0.812309,0.818844,0.824903,0.830505,0.835664,0.8404,0.844727,0.848662,0.852219,0.855412,0.858254,0.860758,0.862934,0.864792,0.866341,0.867586,0.868534,0.869189,0.869552,0.869624,0.869404,0.868888,0.868071,0.866945,0.865501,0.863726,0.861607,0.859126,0.856264,0.852998,0.849304,0.845153,0.840514,0.835352,0.829631,0.823309,0.816342,0.808681,0.800276,0.791071,0.781008,0.770024,0.758056,0.745034,0.730889,0.715546,0.698932,0.680969,0.661583,0.640697,0.618237,0.594132,0.568313,0.540721,0.5113,0.480005,0.446802,0.411671,0.374603,0.335608,0.294713,0.251963,0.207423,0.161174,0.113317,0.0639679,0.0132515,-0.0386949,-0.0917346,-0.145731,-0.200553},
{-2.86464,-2.8353,-2.80593,-2.77654,-2.74713,-2.71768,-2.68821,-2.65871,-2.62917,-2.59961,-2.57001,-2.54037,-2.51069,-2.48097,-2.45121,-2.42141,-2.39156,-2.36166,-2.33171,-2.3017,-2.27164,-2.24152,-2.21134,-2.18109,-2.15078,-2.1204,-2.08994,-2.0594,-2.02879,-1.99809,-1.96731,-1.93643,-1.90546,-1.8744,-1.84323,-1.81196,-1.78058,-1.74909,-1.71748,-1.68575,-1.6539,-1.62193,-1.58982,-1.55758,-1.52519,-1.49267,-1.46001,-1.4272,-1.39423,-1.36112,-1.32785,-1.29443,-1.26084,-1.2271,-1.1932,-1.15914,-1.12492,-1.09055,-1.05601,-1.02133,-0.986497,-0.951518,-0.916401,-0.88115,-0.845773,-0.81028,-0.77468,-0.738984,-0.703204,-0.667355,-0.631451,-0.595508,-0.559545,-0.52358,-0.487633,-0.451726,-0.415882,-0.380123,-0.344475,-0.308964,-0.273614,-0.238453,-0.203509,-0.168809,-0.134381,-0.100253,-0.0664529,-0.0330083,5.33333e-05,0.0327051,0.0649209,0.0966749,0.127943,0.1587,0.188924,0.218593,0.247687,0.276185,0.304071,0.331325,0.357934,0.383883,0.409158,0.433749,0.457644,0.480836,0.503316,0.52508,0.546121,0.566438,0.586029,0.604893,0.623032,0.640448,0.657146,0.67313,0.688408,0.702988,0.716878,0.73009,0.742635,0.754525,0.765775,0.776399,0.786413,0.795833,0.804674,0.812956,0.820695,0.827909,0.834616,0.840833,0.84658,0.851873,0.856729,0.861164,0.865196,0.868839,0.872107,0.875014,0.877572,0.879793,0.881685,0.883258,0.884519,0.885473,0.886124,0.886474,0.886524,0.886271,0.885714,0.884845,0.883657,0.882141,0.880283,0.87807,0.875484,0.872504,0.869108,0.865271,0.860964,0.856154,0.850807,0.844885,0.838346,0.831145,0.823234,0.814559,0.805067,0.794697,0.783387,0.771072,0.757684,0.743152,0.727402,0.710361,0.691952,0.6721,0.65073,0.627769,0.603148,0.576799,0.548666,0.518695,0.486845,0.453084,0.417394,0.379773,0.340234,0.298806,0.255541,0.210505,0.163784,0.115482,0.0657174,0.014616,-0.0376836,-0.0910455,-0.145334,-0.200421},
{-2.88037,-2.85103,-2.82166,-2.79227,-2.76285,-2.7334,-2.70393,-2.67443,-2.64489,-2.61532,-2.58572,-2.55607,-2.52639,-2.49667,-2.46691,-2.4371,-2.40724,-2.37734,-2.34738,-2.31737,-2.2873,-2.25717,-2.22698,-2.19673,-2.1664,-2.13601,-2.10554,-2.07499,-2.04436,-2.01365,-1.98285,-1.95196,-1.92097,-1.88988,-1.85869,-1.8274,-1.79599,-1.76447,-1.73283,-1.70107,-1.66918,-1.63717,-1.60501,-1.57273,-1.5403,-1.50772,-1.475,-1.44212,-1.40909,-1.37591,-1.34256,-1.30905,-1.27538,-1.24154,-1.20754,-1.17337,-1.13903,-1.10453,-1.06986,-1.03503,-1.00004,-0.964902,-0.929608,-0.89417,-0.858595,-0.82289,-0.787065,-0.75113,-0.715098,-0.678981,-0.642794,-0.606553,-0.570275,-0.533978,-0.497683,-0.46141,-0.425183,-0.389024,-0.352958,-0.317011,-0.281209,-0.24558,-0.21015,-0.174949,-0.140006,-0.105347,-0.0710034,-0.0370027,-0.00337352,0.0298562,0.0626588,0.0950076,0.126876,0.15824,0.189074,0.219356,0.249063,0.278174,0.30667,0.334532,0.361744,0.388289,0.414154,0.439326,0.463793,0.487546,0.510576,0.532876,0.554442,0.575268,0.595354,0.614698,0.633301,0.651165,0.668294,0.684693,0.700368,0.715328,0.729581,0.743139,0.756012,0.768214,0.779759,0.790661,0.800937,0.810601,0.819673,0.828168,0.836106,0.843504,0.85038,0.856753,0.862642,0.868063,0.873034,0.877572,0.881694,0.885415,0.888749,0.891711,0.894312,0.896564,0.898477,0.90006,0.901319,0.90226,0.902887,0.903202,0.903205,0.902893,0.902264,0.901312,0.900028,0.898401,0.896419,0.894067,0.891326,0.888176,0.884592,0.880549,0.876017,0.870963,0.865352,0.859143,0.852294,0.84476,0.836489,0.827431,0.817526,0.806717,0.79494,0.782128,0.768213,0.753123,0.736786,0.719127,0.700071,0.679543,0.657469,0.633779,0.608405,0.581283,0.552358,0.521582,0.488917,0.454337,0.417829,0.379397,0.33906,0.296854,0.252837,0.207082,0.15968,0.11074,0.0603839,0.00874081,-0.0440504,-0.097854,-0.152538,-0.207977},
{-2.89586,-2.86652,-2.83715,-2.80775,-2.77833,-2.74889,-2.71941,-2.6899,-2.66036,-2.63079,-2.60118,-2.57154,-2.54186,-2.51213,-2.48236,-2.45255,-2.42269,-2.39278,-2.36282,-2.3328,-2.30272,-2.27259,-2.24239,-2.21213,-2.18179,-2.15139,-2.12091,-2.09035,-2.05971,-2.02898,-1.99816,-1.96725,-1.93625,-1.90514,-1.87393,-1.84261,-1.81118,-1.77963,-1.74796,-1.71617,-1.68425,-1.65219,-1.62,-1.58767,-1.55519,-1.52256,-1.48978,-1.45685,-1.42375,-1.3905,-1.35708,-1.32349,-1.28973,-1.2558,-1.22169,-1.18742,-1.15297,-1.11834,-1.08354,-1.04858,-1.01344,-0.978135,-0.942672,-0.907052,-0.871284,-0.835373,-0.79933,-0.763163,-0.726885,-0.690508,-0.654045,-0.617512,-0.580927,-0.544306,-0.50767,-0.47104,-0.434437,-0.397886,-0.361411,-0.325036,-0.28879,-0.2527,-0.216793,-0.181098,-0.145645,-0.110463,-0.0755813,-0.0410299,-0.00683802,0.0269651,0.060351,0.0932913,0.125759,0.157727,0.18917,0.220063,0.250383,0.280108,0.309216,0.337687,0.365504,0.392649,0.419107,0.444864,0.469907,0.494225,0.51781,0.540653,0.562748,0.58409,0.604677,0.624507,0.643581,0.661899,0.679466,0.696285,0.712365,0.727711,0.742334,0.756244,0.769453,0.781973,0.793819,0.805006,0.815549,0.825466,0.834774,0.84349,0.851633,0.859222,0.866274,0.87281,0.878847,0.884404,0.889498,0.894147,0.898367,0.902175,0.905585,0.908611,0.911266,0.913561,0.915507,0.917112,0.918384,0.919327,0.919947,0.920244,0.920219,0.91987,0.919193,0.918182,0.916829,0.915122,0.913049,0.910593,0.907737,0.904459,0.900735,0.896537,0.891836,0.886599,0.880788,0.874365,0.867284,0.859501,0.850964,0.841621,0.831413,0.82028,0.80816,0.794986,0.780688,0.765195,0.748436,0.730334,0.710817,0.68981,0.667241,0.643039,0.617139,0.58948,0.560008,0.528678,0.495456,0.460318,0.423255,0.384276,0.343402,0.300673,0.256153,0.209916,0.162058,0.11269,0.061936,0.00992596,-0.0432009,-0.0973096,-0.15227,-0.207962},
{-2.91112,-2.88177,-2.8524,-2.823,-2.79358,-2.76413,-2.73465,-2.70515,-2.67561,-2.64603,-2.61642,-2.58677,-2.55709,-2.52736,-2.49759,-2.46777,-2.4379,-2.40799,-2.37802,-2.348,-2.31792,-2.28777,-2.25757,-2.2273,-2.19695,-2.16654,-2.13605,-2.10548,-2.07482,-2.04408,-2.01325,-1.98233,-1.9513,-1.92018,-1.88895,-1.85761,-1.82615,-1.79458,-1.76288,-1.73105,-1.6991,-1.66701,-1.63478,-1.6024,-1.56988,-1.5372,-1.50437,-1.47138,-1.43822,-1.4049,-1.3714,-1.33774,-1.3039,-1.26988,-1.23568,-1.2013,-1.16674,-1.13199,-1.09707,-1.06197,-1.02668,-0.991226,-0.955597,-0.919802,-0.883846,-0.847736,-0.81148,-0.775088,-0.73857,-0.701939,-0.665208,-0.628392,-0.591506,-0.55457,-0.517601,-0.480621,-0.443652,-0.406717,-0.369839,-0.333046,-0.296364,-0.25982,-0.223443,-0.187262,-0.151307,-0.115608,-0.0801949,-0.0450988,-0.0103498,0.0240218,0.0579863,0.0915143,0.124577,0.157147,0.189196,0.2207,0.251632,0.28197,0.31169,0.340771,0.369194,0.396941,0.423994,0.450338,0.475961,0.500848,0.524991,0.54838,0.571009,0.592871,0.613963,0.634284,0.653832,0.672609,0.690618,0.707863,0.72435,0.740087,0.755084,0.76935,0.782897,0.795739,0.807889,0.819363,0.830177,0.840347,0.849892,0.85883,0.867179,0.874959,0.882188,0.888885,0.89507,0.90076,0.905975,0.910732,0.915047,0.918938,0.922418,0.925503,0.928206,0.930537,0.932508,0.934127,0.935401,0.936336,0.936936,0.937203,0.937136,0.936734,0.935992,0.934904,0.933462,0.931653,0.929464,0.92688,0.92388,0.920443,0.916545,0.912157,0.907249,0.901787,0.895732,0.889046,0.881682,0.873595,0.864733,0.855041,0.844462,0.832934,0.820395,0.806777,0.792011,0.776025,0.758747,0.740104,0.720021,0.698426,0.675248,0.650417,0.623871,0.595551,0.565408,0.533397,0.499489,0.463666,0.425922,0.386271,0.344739,0.301373,0.256238,0.209416,0.161007,0.111124,0.0598937,0.0074479,-0.0460743,-0.10054,-0.15582,-0.211799},
{-2.92614,-2.8968,-2.86742,-2.83803,-2.8086,-2.77915,-2.74967,-2.72016,-2.69062,-2.66104,-2.63143,-2.60178,-2.57209,-2.54236,-2.51258,-2.48276,-2.45289,-2.42298,-2.393,-2.36297,-2.33289,-2.30274,-2.27253,-2.24225,-2.2119,-2.18147,-2.15097,-2.12039,-2.08972,-2.05897,-2.02813,-1.99719,-1.96615,-1.935,-1.90375,-1.87239,-1.84091,-1.80931,-1.77759,-1.74573,-1.71375,-1.68162,-1.64935,-1.61694,-1.58437,-1.55165,-1.51876,-1.48572,-1.4525,-1.41911,-1.38555,-1.35181,-1.31789,-1.28378,-1.24949,-1.21501,-1.18034,-1.14549,-1.11044,-1.07521,-1.03978,-1.00418,-0.968387,-0.932421,-0.896283,-0.859979,-0.823517,-0.786906,-0.750155,-0.713277,-0.676284,-0.639191,-0.602013,-0.564768,-0.527475,-0.490153,-0.452824,-0.415513,-0.378242,-0.341038,-0.303927,-0.266937,-0.230097,-0.193437,-0.156987,-0.120777,-0.0848393,-0.0492042,-0.0139034,0.021032,0.0555709,0.0896829,0.123338,0.156507,0.189161,0.221273,0.252817,0.283768,0.3141,0.343793,0.372824,0.401174,0.428825,0.45576,0.481965,0.507426,0.532131,0.556071,0.579238,0.601625,0.623228,0.644044,0.664072,0.683313,0.70177,0.719446,0.736347,0.75248,0.767856,0.782483,0.796374,0.809542,0.822001,0.833767,0.844856,0.855285,0.865072,0.874236,0.882795,0.890769,0.898178,0.905041,0.911377,0.917205,0.922543,0.927411,0.931825,0.935801,0.939356,0.942503,0.945256,0.947627,0.949626,0.951262,0.952543,0.953474,0.954058,0.954299,0.954195,0.953745,0.952944,0.951785,0.950259,0.948355,0.946059,0.943354,0.94022,0.936636,0.932575,0.92801,0.922909,0.917237,0.910957,0.904026,0.896401,0.888032,0.878869,0.868857,0.857936,0.846047,0.833124,0.819101,0.803908,0.787474,0.769728,0.750595,0.730002,0.707879,0.684155,0.658762,0.631641,0.602734,0.571994,0.539382,0.50487,0.468444,0.430104,0.389865,0.347759,0.303838,0.25817,0.210841,0.161954,0.111626,0.0599829,0.00715922,-0.0467067,-0.101484,-0.157044,-0.213277},
{-2.94095,-2.9116,-2.88223,-2.85283,-2.82341,-2.79395,-2.76447,-2.73496,-2.70542,-2.67584,-2.64622,-2.61657,-2.58688,-2.55714,-2.52737,-2.49754,-2.46767,-2.43774,-2.40777,-2.37773,-2.34764,-2.31749,-2.28727,-2.25698,-2.22662,-2.19619,-2.16568,-2.13509,-2.10441,-2.07365,-2.04279,-2.01184,-1.98078,-1.94962,-1.91835,-1.88697,-1.85547,-1.82385,-1.7921,-1.76022,-1.7282,-1.69604,-1.66374,-1.63128,-1.59867,-1.5659,-1.53297,-1.49987,-1.4666,-1.43315,-1.39952,-1.36571,-1.33171,-1.29752,-1.26314,-1.22857,-1.1938,-1.15883,-1.12366,-1.0883,-1.05274,-1.01699,-0.981046,-0.944914,-0.908599,-0.872107,-0.835445,-0.79862,-0.761643,-0.724524,-0.687277,-0.649914,-0.61245,-0.574904,-0.537293,-0.499637,-0.461957,-0.424276,-0.38662,-0.349012,-0.31148,-0.274052,-0.236757,-0.199625,-0.162687,-0.125973,-0.0895163,-0.053348,-0.0175008,0.0179933,0.0531023,0.0877943,0.122038,0.155804,0.18906,0.22178,0.253935,0.285497,0.316443,0.346747,0.376388,0.405343,0.433594,0.461123,0.487913,0.51395,0.539222,0.563717,0.587426,0.610343,0.632461,0.653778,0.674291,0.694002,0.712911,0.731023,0.748342,0.764877,0.780636,0.79563,0.809869,0.823368,0.836141,0.848202,0.85957,0.870261,0.880293,0.889686,0.898458,0.90663,0.914221,0.921252,0.92774,0.933708,0.939172,0.944152,0.948665,0.952728,0.956357,0.959566,0.96237,0.96478,0.966807,0.968459,0.969745,0.970671,0.971239,0.971451,0.971309,0.970808,0.969945,0.968713,0.967102,0.9651,0.962693,0.959865,0.956594,0.952858,0.948631,0.943885,0.938587,0.932702,0.926191,0.919013,0.911122,0.902468,0.893001,0.882664,0.8714,0.859145,0.845837,0.831406,0.815786,0.798903,0.780687,0.761065,0.739964,0.717314,0.693047,0.667097,0.639405,0.609917,0.578589,0.545384,0.510278,0.473261,0.434335,0.393522,0.350856,0.306394,0.260208,0.212387,0.163037,0.112277,0.060236,0.00704882,-0.0471493,-0.102226,-0.158057,-0.214536},
{-2.95554,-2.92619,-2.89682,-2.86742,-2.83799,-2.80854,-2.77906,-2.74954,-2.72,-2.69042,-2.6608,-2.63115,-2.60145,-2.57172,-2.54193,-2.51211,-2.48223,-2.4523,-2.42232,-2.39228,-2.36219,-2.33203,-2.3018,-2.27151,-2.24114,-2.2107,-2.18019,-2.14958,-2.1189,-2.08812,-2.05725,-2.02629,-1.99522,-1.96404,-1.93275,-1.90135,-1.86983,-1.83819,-1.80641,-1.77451,-1.74246,-1.71027,-1.67793,-1.64544,-1.61279,-1.57998,-1.547,-1.51385,-1.48052,-1.44702,-1.41332,-1.37944,-1.34537,-1.3111,-1.27663,-1.24197,-1.20709,-1.17202,-1.13674,-1.10126,-1.06557,-1.02967,-0.993578,-0.957285,-0.920799,-0.884124,-0.847266,-0.810234,-0.773036,-0.735684,-0.698187,-0.660561,-0.622819,-0.584979,-0.547057,-0.509074,-0.47105,-0.433008,-0.394973,-0.356969,-0.319024,-0.281165,-0.243423,-0.205826,-0.168406,-0.131195,-0.0942252,-0.0575296,-0.0211413,0.0149066,0.0505811,0.0858493,0.120679,0.155038,0.188895,0.22222,0.254984,0.287159,0.318718,0.349635,0.379886,0.409448,0.438302,0.466427,0.493806,0.520423,0.546264,0.571318,0.595575,0.619026,0.641664,0.663487,0.68449,0.704675,0.724042,0.742595,0.760339,0.77728,0.793428,0.808793,0.823386,0.83722,0.850311,0.862673,0.874324,0.88528,0.895562,0.905188,0.914177,0.92255,0.930327,0.937527,0.944172,0.950281,0.955873,0.960968,0.965582,0.969734,0.97344,0.976713,0.97957,0.98202,0.984077,0.985747,0.987041,0.987962,0.988515,0.988702,0.988522,0.987973,0.987051,0.985747,0.984053,0.981956,0.979443,0.976494,0.97309,0.969207,0.96482,0.959898,0.95441,0.948319,0.941586,0.934168,0.926021,0.917094,0.907335,0.896688,0.885094,0.872492,0.858815,0.843999,0.827972,0.810665,0.792005,0.771922,0.750343,0.7272,0.702425,0.675954,0.64773,0.617703,0.585829,0.552075,0.51642,0.478858,0.439394,0.398053,0.354875,0.309918,0.263259,0.214989,0.165217,0.114065,0.0616607,0.00814111,-0.0463599,-0.101712,-0.157792,-0.214498},
{-2.96992,-2.94057,-2.9112,-2.8818,-2.85237,-2.82292,-2.79344,-2.76392,-2.73437,-2.70479,-2.67517,-2.64552,-2.61582,-2.58608,-2.5563,-2.52647,-2.49659,-2.46666,-2.43667,-2.40663,-2.37653,-2.34636,-2.31613,-2.28583,-2.25546,-2.22502,-2.19449,-2.16388,-2.13318,-2.1024,-2.07152,-2.04054,-2.00945,-1.97826,-1.94696,-1.91554,-1.884,-1.85234,-1.82054,-1.78861,-1.75653,-1.72431,-1.69194,-1.65942,-1.62673,-1.59388,-1.56085,-1.52765,-1.49428,-1.46071,-1.42696,-1.39301,-1.35887,-1.32452,-1.28997,-1.25521,-1.22025,-1.18507,-1.14968,-1.11407,-1.07826,-1.04223,-1.00599,-0.969539,-0.932886,-0.896033,-0.858986,-0.821752,-0.78434,-0.746759,-0.709021,-0.671138,-0.633124,-0.594996,-0.556771,-0.518468,-0.480108,-0.441713,-0.403307,-0.364915,-0.326564,-0.288282,-0.250098,-0.212044,-0.17415,-0.136448,-0.0989723,-0.0617557,-0.0248322,0.0117642,0.0479993,0.0838391,0.11925,0.154199,0.188654,0.222583,0.255955,0.28874,0.320911,0.35244,0.383302,0.413473,0.44293,0.471653,0.499623,0.526823,0.553237,0.578853,0.60366,0.627649,0.650811,0.673143,0.694641,0.715304,0.735133,0.754131,0.772302,0.789653,0.806193,0.821932,0.836881,0.851054,0.864464,0.877128,0.889064,0.900288,0.910819,0.920678,0.929883,0.938456,0.946417,0.953786,0.960584,0.966832,0.972548,0.977752,0.982463,0.986697,0.990472,0.993802,0.996702,0.999183,1.00126,1.00293,1.00422,1.00512,1.00565,1.00579,1.00555,1.00493,1.00393,1.00253,1.00072,0.998504,0.995851,0.992747,0.989173,0.985103,0.980511,0.975368,0.969638,0.963287,0.956274,0.948556,0.940085,0.930814,0.920687,0.909649,0.89764,0.884598,0.870457,0.855151,0.838611,0.820765,0.801544,0.780875,0.758689,0.734918,0.709496,0.682362,0.65346,0.622743,0.590173,0.555718,0.519363,0.481105,0.440955,0.398943,0.355112,0.309528,0.262271,0.213436,0.163137,0.111497,0.0586461,0.00472069,-0.0501463,-0.105826,-0.162202,-0.219172},
{-2.98411,-2.95475,-2.92538,-2.89598,-2.86655,-2.8371,-2.80761,-2.7781,-2.74855,-2.71896,-2.68934,-2.65969,-2.62999,-2.60025,-2.57046,-2.54063,-2.51075,-2.48081,-2.45082,-2.42078,-2.39067,-2.3605,-2.33027,-2.29996,-2.26959,-2.23913,-2.2086,-2.17798,-2.14728,-2.11648,-2.08559,-2.0546,-2.0235,-1.9923,-1.96098,-1.92954,-1.89799,-1.8663,-1.83448,-1.80252,-1.77043,-1.73818,-1.70578,-1.67322,-1.64049,-1.6076,-1.57454,-1.54129,-1.50786,-1.47424,-1.44043,-1.40642,-1.37221,-1.33779,-1.30316,-1.26831,-1.23325,-1.19798,-1.16248,-1.12676,-1.09082,-1.05466,-1.01828,-0.981677,-0.944862,-0.907837,-0.870606,-0.833175,-0.795554,-0.757751,-0.719777,-0.681643,-0.643365,-0.604956,-0.566435,-0.527819,-0.489129,-0.450387,-0.411617,-0.372844,-0.334094,-0.295396,-0.256779,-0.218274,-0.179912,-0.141726,-0.10375,-0.066018,-0.0285645,0.00857538,0.0453667,0.0817743,0.117764,0.1533,0.18835,0.22288,0.256859,0.290255,0.323038,0.35518,0.386654,0.417435,0.447498,0.476822,0.505386,0.533172,0.560163,0.586346,0.611708,0.636239,0.659931,0.682778,0.704776,0.725923,0.746219,0.765668,0.784273,0.80204,0.818978,0.835097,0.850408,0.864925,0.878661,0.891634,0.903859,0.915356,0.926143,0.93624,0.945667,0.954446,0.962596,0.97014,0.977097,0.983488,0.989334,0.994654,0.999467,1.00379,1.00764,1.01103,1.01398,1.0165,1.0186,1.0203,1.02158,1.02248,1.02298,1.02309,1.02281,1.02213,1.02106,1.01958,1.01768,1.01536,1.01259,1.00935,1.00563,1.0014,0.996632,0.991297,0.985361,0.978787,0.971535,0.96356,0.954815,0.94525,0.934812,0.923444,0.911085,0.897674,0.883145,0.867432,0.850465,0.832174,0.812489,0.791339,0.768656,0.744372,0.718424,0.690752,0.661304,0.630034,0.596905,0.561891,0.524979,0.486169,0.445477,0.402935,0.358591,0.312515,0.264788,0.21551,0.164796,0.112772,0.0595669,0.00531842,-0.0498422,-0.105788,-0.162405,-0.219595},
{-2.99809,-2.96874,-2.93936,-2.90996,-2.88053,-2.85108,-2.82159,-2.79208,-2.76253,-2.73294,-2.70332,-2.67366,-2.64396,-2.61422,-2.58443,-2.5546,-2.52471,-2.49477,-2.46478,-2.43473,-2.40462,-2.37445,-2.34421,-2.3139,-2.28352,-2.25306,-2.22252,-2.19189,-2.16118,-2.13038,-2.09947,-2.06847,-2.03736,-2.00615,-1.97482,-1.94336,-1.91179,-1.88008,-1.84824,-1.81627,-1.78414,-1.75187,-1.71944,-1.68685,-1.65409,-1.62116,-1.58805,-1.55476,-1.52129,-1.48762,-1.45375,-1.41967,-1.3854,-1.3509,-1.3162,-1.28127,-1.24612,-1.21075,-1.17515,-1.13932,-1.10326,-1.06697,-1.03045,-0.993705,-0.956733,-0.91954,-0.88213,-0.844509,-0.806684,-0.768665,-0.73046,-0.692083,-0.653545,-0.614863,-0.576052,-0.53713,-0.498118,-0.459037,-0.41991,-0.380763,-0.341622,-0.302515,-0.263471,-0.224522,-0.185699,-0.147036,-0.108567,-0.0703252,-0.0323477,0.00533036,0.0426728,0.0796437,0.116207,0.152327,0.187969,0.223099,0.257682,0.291687,0.325082,0.357837,0.389923,0.421314,0.451985,0.481911,0.511071,0.539446,0.567017,0.59377,0.61969,0.644768,0.668992,0.692358,0.714859,0.736494,0.757262,0.777166,0.796208,0.814395,0.831735,0.848237,0.863914,0.878777,0.892842,0.906125,0.918643,0.930414,0.941458,0.951795,0.961444,0.970428,0.978768,0.986484,0.993599,1.00013,1.00611,1.01154,1.01645,1.02086,1.02478,1.02823,1.03122,1.03377,1.03589,1.03759,1.03887,1.03974,1.04021,1.04028,1.03994,1.03919,1.03803,1.03645,1.03444,1.03199,1.02908,1.02568,1.02179,1.01737,1.0124,1.00684,1.00066,0.993826,0.986293,0.978018,0.968952,0.959046,0.948244,0.936489,0.923723,0.909881,0.894898,0.878709,0.861243,0.842431,0.822204,0.800492,0.777227,0.752344,0.725781,0.69748,0.667392,0.635474,0.601692,0.566025,0.528461,0.489007,0.447683,0.404525,0.359585,0.312937,0.264668,0.214881,0.163692,0.11123,0.0576242,0.00301273,-0.0524753,-0.108716,-0.165598,-0.223028},
{-3.01188,-2.98253,-2.95316,-2.92375,-2.89433,-2.86487,-2.83538,-2.80587,-2.77631,-2.74673,-2.71711,-2.68745,-2.65774,-2.628,-2.59821,-2.56837,-2.53849,-2.50855,-2.47855,-2.4485,-2.41839,-2.38821,-2.35797,-2.32765,-2.29727,-2.2668,-2.23625,-2.20562,-2.1749,-2.14409,-2.11318,-2.08217,-2.05105,-2.01982,-1.98847,-1.95701,-1.92542,-1.89369,-1.86184,-1.82984,-1.79769,-1.76539,-1.73293,-1.70031,-1.66752,-1.63456,-1.60141,-1.56808,-1.53455,-1.50083,-1.46691,-1.43278,-1.39844,-1.36388,-1.3291,-1.29409,-1.25886,-1.22339,-1.18769,-1.15175,-1.11558,-1.07917,-1.04251,-1.00563,-0.968501,-0.931145,-0.893561,-0.855754,-0.817732,-0.779501,-0.741073,-0.702457,-0.663667,-0.624717,-0.585623,-0.546402,-0.507074,-0.467661,-0.428185,-0.388671,-0.349145,-0.309636,-0.270173,-0.230787,-0.19151,-0.152375,-0.113418,-0.0746732,-0.0361771,0.00203395,0.0399229,0.0774527,0.114586,0.151287,0.187519,0.223245,0.258432,0.293044,0.32705,0.360418,0.393118,0.42512,0.4564,0.48693,0.516689,0.545656,0.57381,0.601137,0.62762,0.653248,0.67801,0.701899,0.724909,0.747037,0.768283,0.788646,0.808131,0.826743,0.84449,0.861381,0.877428,0.892644,0.907042,0.92064,0.933455,0.945506,0.956811,0.967391,0.977267,0.986461,0.994993,1.00289,1.01016,1.01684,1.02295,1.02849,1.03351,1.038,1.042,1.04551,1.04855,1.05113,1.05327,1.05498,1.05626,1.05711,1.05755,1.05758,1.05718,1.05637,1.05513,1.05346,1.05135,1.04877,1.04572,1.04218,1.03813,1.03353,1.02836,1.02259,1.01618,1.0091,1.00131,0.992752,0.983387,0.973161,0.96202,0.949908,0.936762,0.922522,0.907121,0.890493,0.872568,0.853279,0.832557,0.810332,0.786538,0.761111,0.733992,0.705124,0.67446,0.64196,0.607594,0.571342,0.533199,0.493173,0.451287,0.407583,0.362117,0.314966,0.266219,0.215983,0.164376,0.111528,0.0575695,0.00263678,-0.0531422,-0.109646,-0.166767,-0.224414},
{-3.02549,-2.99614,-2.96676,-2.93736,-2.90793,-2.87847,-2.84899,-2.81947,-2.78992,-2.76033,-2.73071,-2.70105,-2.67134,-2.6416,-2.61181,-2.58197,-2.55208,-2.52214,-2.49214,-2.46209,-2.43197,-2.40179,-2.37154,-2.34123,-2.31083,-2.28036,-2.24981,-2.21917,-2.18845,-2.15763,-2.12671,-2.09568,-2.06456,-2.03332,-2.00196,-1.97048,-1.93887,-1.90713,-1.87526,-1.84324,-1.81107,-1.77875,-1.74626,-1.71361,-1.68079,-1.64779,-1.61461,-1.58124,-1.54767,-1.5139,-1.47993,-1.44574,-1.41134,-1.37671,-1.34186,-1.30678,-1.27146,-1.23591,-1.20011,-1.16407,-1.12778,-1.09125,-1.05447,-1.01744,-0.98017,-0.942656,-0.904903,-0.866916,-0.828701,-0.790265,-0.751618,-0.71277,-0.673734,-0.634522,-0.595151,-0.555638,-0.516001,-0.476262,-0.436444,-0.39657,-0.356667,-0.316763,-0.276887,-0.237071,-0.197346,-0.157747,-0.118309,-0.0790667,-0.0400577,-0.00131909,0.0371113,0.0751956,0.112895,0.150173,0.186991,0.223312,0.2591,0.294319,0.328935,0.362915,0.396228,0.428843,0.460732,0.491868,0.522228,0.551789,0.58053,0.608433,0.635482,0.661664,0.686968,0.711385,0.734908,0.757534,0.77926,0.800088,0.82002,0.839062,0.85722,0.874504,0.890925,0.906497,0.921233,0.935149,0.948264,0.960597,0.972165,0.982992,0.993096,1.0025,1.01123,1.0193,1.02674,1.03356,1.0398,1.04546,1.05057,1.05515,1.05922,1.06279,1.06588,1.06849,1.07065,1.07236,1.07363,1.07447,1.07487,1.07485,1.0744,1.07351,1.07219,1.07041,1.06818,1.06548,1.06229,1.05859,1.05436,1.04957,1.04419,1.0382,1.03155,1.02421,1.01614,1.00728,0.997601,0.987039,0.975541,0.963051,0.949507,0.934848,0.919007,0.901918,0.883514,0.863725,0.842484,0.819723,0.795376,0.769382,0.741682,0.712224,0.680961,0.647857,0.612884,0.576027,0.537284,0.496666,0.454202,0.409936,0.363929,0.316261,0.267026,0.216332,0.1643,0.11106,0.0567446,0.00148737,-0.0545842,-0.111353,-0.168713,-0.226579},
{-3.03892,-3.00956,-2.98019,-2.95079,-2.92136,-2.8919,-2.86241,-2.83289,-2.80334,-2.77375,-2.74413,-2.71447,-2.68476,-2.65502,-2.62523,-2.59539,-2.5655,-2.53555,-2.50555,-2.4755,-2.44538,-2.41519,-2.38494,-2.35462,-2.32423,-2.29375,-2.26319,-2.23255,-2.20182,-2.17099,-2.14006,-2.10903,-2.07789,-2.04664,-2.01527,-1.98378,-1.95216,-1.92041,-1.88852,-1.85648,-1.82429,-1.79194,-1.75943,-1.72676,-1.69391,-1.66088,-1.62766,-1.59425,-1.56064,-1.52683,-1.4928,-1.45856,-1.4241,-1.38941,-1.35449,-1.31934,-1.28394,-1.2483,-1.21241,-1.17627,-1.13987,-1.10322,-1.06632,-1.02916,-0.991744,-0.954076,-0.916159,-0.877996,-0.839593,-0.800958,-0.762099,-0.723024,-0.683747,-0.644281,-0.604639,-0.56484,-0.524901,-0.484843,-0.444689,-0.404462,-0.364188,-0.323896,-0.283614,-0.243375,-0.203209,-0.163152,-0.123239,-0.0835053,-0.0439891,-0.00472825,0.0342387,0.0728728,0.111135,0.148986,0.186387,0.2233,0.259686,0.29551,0.330736,0.365328,0.399254,0.432482,0.464982,0.496727,0.52769,0.557847,0.587177,0.61566,0.643279,0.67002,0.695869,0.720818,0.744859,0.767987,0.7902,0.811497,0.831881,0.851357,0.869931,0.887613,0.904413,0.920345,0.935423,0.949663,0.963082,0.9757,0.987536,0.998612,1.00895,1.01857,1.02749,1.03574,1.04335,1.05032,1.05669,1.06247,1.06768,1.07235,1.07649,1.08012,1.08325,1.0859,1.08808,1.0898,1.09106,1.09188,1.09225,1.09218,1.09167,1.09071,1.0893,1.08742,1.08508,1.08225,1.07892,1.07506,1.07065,1.06568,1.0601,1.05389,1.047,1.03941,1.03106,1.02192,1.01193,1.00104,0.989191,0.976334,0.962405,0.94734,0.931075,0.913543,0.894677,0.874408,0.85267,0.829397,0.804523,0.777989,0.749738,0.719719,0.687889,0.654215,0.61867,0.581244,0.541937,0.500765,0.45776,0.41297,0.366459,0.31831,0.268621,0.217501,0.165075,0.111472,0.0568241,0.0012653,-0.0550795,-0.112096,-0.169682,-0.227753},
{-3.05217,-3.02281,-2.99344,-2.96404,-2.93461,-2.90515,-2.87566,-2.84614,-2.81659,-2.787,-2.75738,-2.72771,-2.69801,-2.66826,-2.63847,-2.60863,-2.57874,-2.54879,-2.51879,-2.48873,-2.45861,-2.42843,-2.39817,-2.36785,-2.33745,-2.30697,-2.27641,-2.24576,-2.21502,-2.18419,-2.15325,-2.12221,-2.09107,-2.05981,-2.02843,-1.99692,-1.96529,-1.93352,-1.90161,-1.86956,-1.83735,-1.80498,-1.77245,-1.73975,-1.70687,-1.67381,-1.64056,-1.60711,-1.57347,-1.53961,-1.50554,-1.47125,-1.43673,-1.40198,-1.367,-1.33177,-1.2963,-1.26057,-1.22459,-1.18836,-1.15186,-1.1151,-1.07807,-1.04078,-1.00323,-0.965409,-0.927333,-0.888999,-0.850415,-0.811585,-0.772518,-0.733224,-0.693712,-0.653997,-0.614091,-0.574012,-0.533778,-0.493408,-0.452924,-0.412351,-0.371714,-0.331041,-0.290361,-0.249704,-0.209105,-0.168597,-0.128215,-0.0879961,-0.0479788,-0.00820139,0.0312967,0.0704757,0.109295,0.147715,0.185696,0.223197,0.260181,0.296607,0.33244,0.367643,0.402182,0.436023,0.469135,0.501488,0.533055,0.563811,0.593732,0.622797,0.650989,0.678291,0.704689,0.730174,0.754735,0.778369,0.801071,0.822841,0.843681,0.863594,0.882588,0.90067,0.917853,0.934147,0.949569,0.964133,0.977859,0.990764,1.00287,1.01419,1.02476,1.0346,1.04372,1.05215,1.05991,1.06703,1.07353,1.07942,1.08473,1.08949,1.09369,1.09738,1.10055,1.10322,1.10541,1.10712,1.10836,1.10915,1.10947,1.10934,1.10875,1.1077,1.10619,1.1042,1.10172,1.09873,1.09523,1.09119,1.08659,1.08139,1.07558,1.06911,1.06195,1.05406,1.0454,1.03592,1.02557,1.0143,1.00205,0.988771,0.974395,0.958862,0.942106,0.924061,0.904661,0.883837,0.861524,0.837657,0.812174,0.785014,0.756124,0.725457,0.69297,0.658635,0.622429,0.584345,0.544386,0.502575,0.458947,0.413553,0.366464,0.317767,0.26756,0.215959,0.163088,0.109077,0.0540596,-0.00183255,-0.058477,-0.115763,-0.173593,-0.231886},
{-3.06524,-3.03589,-3.00652,-2.97711,-2.94768,-2.91823,-2.88874,-2.85922,-2.82967,-2.80008,-2.77046,-2.74079,-2.71109,-2.68134,-2.65154,-2.6217,-2.59181,-2.56186,-2.53186,-2.5018,-2.47168,-2.44149,-2.41124,-2.38091,-2.3505,-2.32002,-2.28946,-2.2588,-2.22806,-2.19722,-2.16628,-2.13524,-2.10408,-2.07281,-2.04142,-2.00991,-1.97826,-1.94648,-1.91456,-1.88249,-1.85026,-1.81787,-1.78532,-1.7526,-1.71969,-1.6866,-1.65332,-1.61984,-1.58615,-1.55226,-1.51814,-1.4838,-1.44923,-1.41442,-1.37938,-1.34408,-1.30853,-1.27273,-1.23666,-1.20033,-1.16373,-1.12686,-1.08972,-1.05231,-1.01462,-0.976658,-0.938427,-0.899928,-0.861166,-0.822147,-0.782879,-0.743369,-0.703629,-0.66367,-0.623506,-0.583154,-0.54263,-0.501954,-0.461149,-0.420236,-0.379242,-0.338194,-0.297122,-0.256056,-0.215029,-0.174075,-0.133231,-0.0925328,-0.0520199,-0.0117311,0.0282933,0.0680126,0.107386,0.146372,0.184929,0.223016,0.260594,0.297622,0.334061,0.369875,0.405026,0.439481,0.473206,0.50617,0.538343,0.5697,0.600216,0.629867,0.658635,0.686503,0.713455,0.739479,0.764567,0.788712,0.811909,0.834158,0.855459,0.875815,0.895234,0.913724,0.931294,0.947957,0.963729,0.978624,0.992661,1.00586,1.01824,1.02982,1.04063,1.05068,1.06,1.06862,1.07655,1.08382,1.09045,1.09646,1.10188,1.10672,1.111,1.11475,1.11796,1.12067,1.12287,1.12459,1.12582,1.12658,1.12687,1.12669,1.12604,1.12492,1.12331,1.12122,1.11862,1.11551,1.11186,1.10766,1.10287,1.09749,1.09146,1.08477,1.07737,1.06922,1.06029,1.05052,1.03986,1.02826,1.01567,1.00202,0.987265,0.971332,0.954158,0.935678,0.915826,0.894534,0.871739,0.847375,0.821382,0.793703,0.764285,0.733081,0.700055,0.665178,0.628432,0.58981,0.549323,0.506993,0.46286,0.416979,0.369424,0.320283,0.269659,0.217667,0.164435,0.110092,0.0547719,-0.00139596,-0.0582917,-0.115805,-0.173843,-0.232327},
{-3.07816,-3.0488,-3.01943,-2.99003,-2.9606,-2.93114,-2.90165,-2.87213,-2.84258,-2.81299,-2.78337,-2.7537,-2.724,-2.69425,-2.66445,-2.63461,-2.60472,-2.57477,-2.54477,-2.51471,-2.48458,-2.45439,-2.42414,-2.39381,-2.3634,-2.33291,-2.30234,-2.27169,-2.24094,-2.2101,-2.17915,-2.1481,-2.11694,-2.08566,-2.05426,-2.02274,-1.99108,-1.95929,-1.92735,-1.89526,-1.86302,-1.83062,-1.79804,-1.7653,-1.73237,-1.69925,-1.66594,-1.63243,-1.5987,-1.56477,-1.53061,-1.49622,-1.4616,-1.42674,-1.39164,-1.35628,-1.32066,-1.28478,-1.24863,-1.21221,-1.17551,-1.13854,-1.10128,-1.06375,-1.02593,-0.987827,-0.949445,-0.910785,-0.871852,-0.832649,-0.793184,-0.753465,-0.713502,-0.673306,-0.63289,-0.592271,-0.551464,-0.510489,-0.469368,-0.428123,-0.386779,-0.345363,-0.303905,-0.262436,-0.220988,-0.179596,-0.138296,-0.0971247,-0.0561222,-0.0153279,0.0252174,0.065472,0.105394,0.144941,0.184071,0.222741,0.26091,0.298537,0.335582,0.372004,0.407768,0.442836,0.477174,0.510749,0.543531,0.57549,0.606602,0.636842,0.666189,0.694625,0.722134,0.748702,0.77432,0.798979,0.822675,0.845406,0.867172,0.887975,0.907823,0.926722,0.944684,0.961719,0.977843,0.993072,1.00742,1.02092,1.03357,1.04541,1.05645,1.06673,1.07625,1.08505,1.09315,1.10057,1.10734,1.11347,1.11899,1.12391,1.12827,1.13206,1.13532,1.13805,1.14027,1.14198,1.1432,1.14393,1.14418,1.14394,1.14321,1.142,1.14029,1.13808,1.13535,1.13209,1.12829,1.1239,1.11893,1.11333,1.10708,1.10014,1.09248,1.08405,1.07482,1.06472,1.05373,1.04177,1.02881,1.01477,0.999592,0.983224,0.965596,0.946643,0.9263,0.904501,0.881182,0.85628,0.829735,0.801492,0.7715,0.739717,0.706106,0.670643,0.633312,0.594111,0.553053,0.510164,0.465489,0.419085,0.371029,0.321414,0.270345,0.21794,0.164326,0.109633,0.0539948,-0.00246174,-0.059618,-0.117367,-0.17562,-0.234303},
{-3.0909,-3.06155,-3.03218,-3.00277,-2.97335,-2.94389,-2.9144,-2.88488,-2.85533,-2.82574,-2.79612,-2.76645,-2.73675,-2.707,-2.6772,-2.64736,-2.61747,-2.58752,-2.55752,-2.52745,-2.49733,-2.46714,-2.43688,-2.40655,-2.37614,-2.34565,-2.31508,-2.28442,-2.25366,-2.22282,-2.19187,-2.16081,-2.12964,-2.09836,-2.06695,-2.03542,-2.00375,-1.97195,-1.94,-1.9079,-1.87564,-1.84322,-1.81063,-1.77786,-1.74491,-1.71176,-1.67842,-1.64488,-1.61113,-1.57715,-1.54295,-1.50852,-1.47386,-1.43894,-1.40378,-1.36835,-1.33267,-1.29671,-1.26049,-1.22398,-1.18719,-1.15012,-1.11275,-1.0751,-1.03715,-0.998918,-0.960391,-0.921575,-0.882474,-0.843093,-0.803437,-0.763514,-0.723333,-0.682906,-0.642245,-0.601364,-0.560281,-0.519013,-0.477583,-0.436011,-0.394324,-0.352547,-0.310711,-0.268845,-0.226982,-0.185158,-0.143408,-0.10177,-0.0602838,-0.0189894,0.0220715,0.0628566,0.103323,0.143427,0.183126,0.222376,0.261134,0.299358,0.337006,0.374037,0.410412,0.446094,0.481045,0.515233,0.548624,0.581188,0.612899,0.64373,0.67366,0.702668,0.730737,0.757853,0.784005,0.809184,0.833383,0.856601,0.878837,0.900093,0.920374,0.939689,0.958046,0.975458,0.99194,1.00751,1.02218,1.03597,1.0489,1.061,1.07229,1.08279,1.09252,1.10151,1.10978,1.11735,1.12425,1.13051,1.13613,1.14115,1.14557,1.14943,1.15273,1.15549,1.15772,1.15944,1.16064,1.16135,1.16155,1.16126,1.16047,1.15917,1.15737,1.15505,1.1522,1.1488,1.14483,1.14028,1.13512,1.12933,1.12286,1.11569,1.10778,1.09909,1.08957,1.07918,1.06787,1.05558,1.04226,1.02785,1.01229,0.995517,0.977469,0.95808,0.937285,0.915019,0.89122,0.865825,0.838776,0.81002,0.779508,0.7472,0.71306,0.677069,0.639212,0.599491,0.55792,0.514532,0.469371,0.4225,0.373999,0.323962,0.272496,0.219721,0.165766,0.11076,0.0548362,-0.00188041,-0.0592732,-0.117238,-0.17569,-0.234556},
{-3.10349,-3.07414,-3.04477,-3.01537,-2.98594,-2.95648,-2.92699,-2.89747,-2.86792,-2.83833,-2.80871,-2.77905,-2.74934,-2.71959,-2.6898,-2.65995,-2.63006,-2.60011,-2.57011,-2.54004,-2.50992,-2.47973,-2.44947,-2.41913,-2.38872,-2.35823,-2.32766,-2.29699,-2.26624,-2.23539,-2.20443,-2.17337,-2.1422,-2.11091,-2.07949,-2.04795,-2.01628,-1.98446,-1.9525,-1.92039,-1.88812,-1.85568,-1.82307,-1.79028,-1.75731,-1.72414,-1.69078,-1.65721,-1.62342,-1.58941,-1.55517,-1.5207,-1.48599,-1.45103,-1.41581,-1.38032,-1.34457,-1.30855,-1.27224,-1.23565,-1.19878,-1.1616,-1.12414,-1.08637,-1.0483,-1.00994,-0.971269,-0.932302,-0.893039,-0.853484,-0.813642,-0.773521,-0.733128,-0.692476,-0.651575,-0.610439,-0.569086,-0.527532,-0.485799,-0.443908,-0.401884,-0.359754,-0.317545,-0.27529,-0.23302,-0.19077,-0.148577,-0.106479,-0.0645151,-0.0227268,0.0188439,0.0601539,0.10116,0.141816,0.18208,0.221906,0.261249,0.300067,0.338316,0.375953,0.412938,0.449232,0.484797,0.519597,0.553597,0.586767,0.619078,0.650502,0.681016,0.710598,0.73923,0.766897,0.793585,0.819286,0.843992,0.8677,0.890408,0.912119,0.932837,0.952569,0.971324,0.989116,1.00596,1.02186,1.03685,1.05094,1.06416,1.07652,1.08805,1.09877,1.10871,1.11788,1.12632,1.13404,1.14108,1.14745,1.15317,1.15827,1.16276,1.16667,1.17,1.17278,1.17502,1.17673,1.17791,1.17857,1.17872,1.17835,1.17748,1.17608,1.17416,1.17171,1.16871,1.16514,1.161,1.15625,1.15088,1.14485,1.13813,1.13069,1.12249,1.11349,1.10364,1.09291,1.08123,1.06855,1.05482,1.03999,1.02398,1.00674,0.988202,0.968306,0.946985,0.924177,0.899818,0.87385,0.846214,0.81686,0.785742,0.75282,0.718064,0.681456,0.642985,0.602658,0.560491,0.516521,0.470797,0.423386,0.37437,0.323846,0.271926,0.21873,0.164389,0.10903,0.0527877,-0.00421648,-0.0618689,-0.120068,-0.178735,-0.237799},
{-3.11593,-3.08658,-3.0572,-3.0278,-2.99837,-2.96892,-2.93943,-2.90991,-2.88036,-2.85077,-2.82115,-2.79149,-2.76178,-2.73203,-2.70224,-2.67239,-2.6425,-2.61255,-2.58255,-2.55248,-2.52236,-2.49216,-2.4619,-2.43157,-2.40116,-2.37066,-2.34009,-2.30942,-2.27867,-2.24781,-2.21685,-2.18579,-2.15461,-2.12331,-2.09189,-2.06034,-2.02866,-1.99684,-1.96486,-1.93274,-1.90046,-1.868,-1.83538,-1.80257,-1.76958,-1.73639,-1.703,-1.6694,-1.63559,-1.60155,-1.56728,-1.53276,-1.49801,-1.463,-1.42773,-1.39219,-1.35637,-1.32028,-1.28391,-1.24724,-1.21027,-1.17301,-1.13544,-1.09756,-1.05938,-1.02089,-0.982081,-0.942968,-0.903547,-0.863824,-0.823802,-0.783488,-0.742889,-0.702017,-0.660882,-0.619498,-0.577881,-0.536048,-0.494018,-0.451815,-0.409461,-0.366983,-0.324409,-0.281771,-0.2391,-0.196432,-0.153803,-0.11125,-0.0688154,-0.0265391,0.0155357,0.0573654,0.0989052,0.14011,0.180934,0.221332,0.261258,0.300666,0.339514,0.377755,0.41535,0.452255,0.488433,0.523845,0.558456,0.592233,0.625145,0.657164,0.688264,0.718423,0.747621,0.775842,0.80307,0.829296,0.854513,0.878714,0.901899,0.924068,0.945226,0.965379,0.984537,1.00271,1.01991,1.03616,1.05147,1.06587,1.07937,1.09199,1.10376,1.11471,1.12485,1.13421,1.14282,1.15069,1.15786,1.16434,1.17017,1.17535,1.1799,1.18386,1.18723,1.19003,1.19227,1.19396,1.19511,1.19573,1.19581,1.19537,1.19441,1.1929,1.19086,1.18827,1.18511,1.18138,1.17705,1.17209,1.1665,1.16023,1.15325,1.14553,1.13704,1.12772,1.11754,1.10645,1.09439,1.08132,1.06718,1.0519,1.03544,1.01772,0.998688,0.978277,0.956423,0.933065,0.908141,0.881592,0.853365,0.823408,0.791679,0.75814,0.722767,0.68554,0.646455,0.605521,0.56276,0.51821,0.471927,0.423979,0.374453,0.323449,0.271081,0.217472,0.162751,0.107047,0.0504925,-0.00679321,-0.0646994,-0.123129,-0.182006,-0.241265},
{-3.12821,-3.09886,-3.06949,-3.04009,-3.01066,-2.9812,-2.95172,-2.9222,-2.89265,-2.86306,-2.83344,-2.80378,-2.77407,-2.74432,-2.71453,-2.68469,-2.65479,-2.62484,-2.59484,-2.56478,-2.53465,-2.50446,-2.47419,-2.44386,-2.41345,-2.38295,-2.35238,-2.32171,-2.29095,-2.26009,-2.22913,-2.19806,-2.16688,-2.13558,-2.10415,-2.0726,-2.04091,-2.00907,-1.97709,-1.94496,-1.91266,-1.8802,-1.84756,-1.81474,-1.78173,-1.74852,-1.71511,-1.68148,-1.64764,-1.61357,-1.57926,-1.54471,-1.50991,-1.47486,-1.43954,-1.40395,-1.36808,-1.33192,-1.29547,-1.25873,-1.22168,-1.18433,-1.14666,-1.10868,-1.07038,-1.03177,-0.992831,-0.953576,-0.914003,-0.874116,-0.833919,-0.793417,-0.752619,-0.711533,-0.67017,-0.628543,-0.586668,-0.544562,-0.502242,-0.459733,-0.417055,-0.374237,-0.331305,-0.28829,-0.245225,-0.202145,-0.159085,-0.116085,-0.073185,-0.0304266,0.0121469,0.0544909,0.0965601,0.138308,0.179689,0.220655,0.26116,0.301157,0.340601,0.379445,0.417647,0.455164,0.491954,0.527979,0.563202,0.597587,0.631103,0.663719,0.695408,0.726147,0.755915,0.784692,0.812465,0.839221,0.864951,0.889651,0.913317,0.935949,0.957552,0.978131,0.997695,1.01626,1.03383,1.05042,1.06606,1.08076,1.09455,1.10744,1.11946,1.13063,1.14098,1.15054,1.15931,1.16734,1.17465,1.18125,1.18717,1.19244,1.19706,1.20107,1.20448,1.20729,1.20954,1.21122,1.21234,1.21292,1.21296,1.21245,1.21139,1.20979,1.20763,1.2049,1.2016,1.1977,1.19319,1.18804,1.18223,1.17573,1.16851,1.16053,1.15175,1.14214,1.13164,1.12021,1.10781,1.09436,1.07983,1.06415,1.04725,1.02909,1.0096,0.988713,0.966367,0.942501,0.917056,0.889975,0.861205,0.830697,0.79841,0.764311,0.728375,0.690587,0.650947,0.609465,0.566168,0.521098,0.474312,0.425882,0.375899,0.324465,0.271696,0.217715,0.162653,0.106639,0.0498025,-0.00773871,-0.0658767,-0.124518,-0.183589,-0.24303},
{-3.14035,-3.111,-3.08163,-3.05223,-3.0228,-2.99334,-2.96386,-2.93434,-2.90479,-2.87521,-2.84558,-2.81592,-2.78622,-2.75647,-2.72667,-2.69683,-2.66694,-2.63699,-2.60699,-2.57692,-2.5468,-2.51661,-2.48634,-2.45601,-2.42559,-2.3951,-2.36452,-2.33385,-2.30309,-2.27223,-2.24127,-2.2102,-2.17901,-2.1477,-2.11628,-2.08472,-2.05302,-2.02118,-1.98919,-1.95705,-1.92474,-1.89226,-1.85961,-1.82678,-1.79375,-1.76052,-1.72709,-1.69344,-1.65957,-1.62547,-1.59113,-1.55655,-1.52171,-1.48662,-1.45125,-1.41561,-1.37968,-1.34346,-1.30695,-1.27013,-1.23301,-1.19557,-1.15781,-1.11973,-1.08132,-1.04258,-1.00352,-0.96413,-0.92441,-0.884364,-0.843997,-0.803313,-0.76232,-0.721025,-0.67944,-0.637577,-0.595451,-0.553077,-0.510475,-0.467665,-0.424671,-0.381518,-0.338234,-0.29485,-0.251398,-0.207911,-0.164428,-0.120987,-0.0776275,-0.0343928,0.0086736,0.0515267,0.0941203,0.136407,0.17834,0.219871,0.260952,0.301534,0.341572,0.381018,0.419826,0.457953,0.495356,0.531995,0.567829,0.602824,0.636945,0.67016,0.702442,0.733764,0.764104,0.793442,0.821763,0.849053,0.875302,0.900504,0.924656,0.947756,0.969809,0.990818,1.01079,1.02975,1.04769,1.06464,1.08061,1.09562,1.1097,1.12286,1.13513,1.14654,1.1571,1.16685,1.1758,1.18399,1.19143,1.19816,1.20419,1.20954,1.21424,1.2183,1.22175,1.22459,1.22684,1.22852,1.22962,1.23016,1.23014,1.22957,1.22844,1.22674,1.22447,1.22162,1.21818,1.21413,1.20945,1.20412,1.19811,1.19139,1.18394,1.17571,1.16667,1.15677,1.14598,1.13424,1.1215,1.10772,1.09282,1.07676,1.05948,1.04091,1.02099,0.999666,0.97687,0.952542,0.926624,0.89906,0.869798,0.838793,0.806004,0.7714,0.73496,0.69667,0.656534,0.614563,0.570789,0.525255,0.478022,0.429164,0.378776,0.32696,0.273834,0.219522,0.164156,0.107864,0.0507732,-0.00699965,-0.0653494,-0.124185,-0.183437,-0.243047},
{-3.15234,-3.12299,-3.09362,-3.06422,-3.0348,-3.00534,-2.97586,-2.94634,-2.91679,-2.88721,-2.85758,-2.82792,-2.79822,-2.76847,-2.73868,-2.70884,-2.67895,-2.649,-2.619,-2.58893,-2.55881,-2.52861,-2.49835,-2.46802,-2.4376,-2.40711,-2.37653,-2.34586,-2.3151,-2.28424,-2.25327,-2.2222,-2.19101,-2.1597,-2.12827,-2.0967,-2.065,-2.03316,-2.00116,-1.96901,-1.93669,-1.90421,-1.87154,-1.83869,-1.80565,-1.77241,-1.73895,-1.70528,-1.67139,-1.63726,-1.6029,-1.56828,-1.53341,-1.49827,-1.46286,-1.42717,-1.39119,-1.35492,-1.31834,-1.28145,-1.24425,-1.20673,-1.16888,-1.1307,-1.09219,-1.05334,-1.01416,-0.974632,-0.934769,-0.89457,-0.854038,-0.813178,-0.771995,-0.730498,-0.688697,-0.646603,-0.604231,-0.561596,-0.518717,-0.475614,-0.43231,-0.388829,-0.3452,-0.301453,-0.25762,-0.213734,-0.169834,-0.125957,-0.0821447,-0.0384395,0.00511437,0.0484712,0.0915843,0.134406,0.176887,0.218978,0.260631,0.301797,0.342426,0.382472,0.421885,0.460622,0.498638,0.53589,0.572338,0.607943,0.642671,0.676488,0.709365,0.741273,0.772189,0.802093,0.830966,0.858794,0.885567,0.911277,0.93592,0.959494,0.982001,1.00345,1.02384,1.04319,1.06151,1.07882,1.09512,1.11045,1.12483,1.13827,1.1508,1.16244,1.17323,1.18317,1.19231,1.20066,1.20825,1.2151,1.22124,1.22669,1.23147,1.2356,1.23909,1.24196,1.24423,1.24591,1.24701,1.24752,1.24747,1.24684,1.24564,1.24386,1.2415,1.23854,1.23498,1.2308,1.22597,1.22048,1.21429,1.20739,1.19973,1.19129,1.18202,1.17189,1.16084,1.14883,1.13581,1.12172,1.10652,1.09014,1.07252,1.0536,1.03333,1.01164,0.988467,0.963753,0.937442,0.909478,0.879811,0.848397,0.815197,0.780181,0.743331,0.704634,0.664095,0.62173,0.57757,0.531663,0.484069,0.434866,0.384149,0.332024,0.278607,0.224023,0.168405,0.11188,0.0545741,-0.00339707,-0.0619308,-0.120938,-0.180351,-0.240113},
{-3.16419,-3.13485,-3.10547,-3.07608,-3.04665,-3.0172,-2.98771,-2.9582,-2.92865,-2.89907,-2.86945,-2.83979,-2.81008,-2.78034,-2.75055,-2.72071,-2.69081,-2.66087,-2.63087,-2.6008,-2.57068,-2.54049,-2.51023,-2.47989,-2.44948,-2.41898,-2.38841,-2.35774,-2.32697,-2.29611,-2.26514,-2.23407,-2.20288,-2.17157,-2.14013,-2.10856,-2.07686,-2.04501,-2.01301,-1.98085,-1.94852,-1.91603,-1.88335,-1.85049,-1.81743,-1.78417,-1.7507,-1.71702,-1.6831,-1.64895,-1.61456,-1.57991,-1.545,-1.50983,-1.47438,-1.43864,-1.40261,-1.36628,-1.32964,-1.29269,-1.25542,-1.21782,-1.17988,-1.14161,-1.103,-1.06404,-1.02474,-0.985088,-0.945088,-0.904741,-0.864049,-0.823017,-0.781651,-0.739957,-0.697946,-0.655628,-0.613016,-0.570127,-0.526978,-0.483588,-0.43998,-0.396179,-0.352212,-0.308109,-0.263901,-0.219624,-0.175313,-0.131008,-0.0867493,-0.0425803,0.00145464,0.0453092,0.0889358,0.132286,0.17531,0.217958,0.260179,0.301924,0.343142,0.383783,0.4238,0.463144,0.501771,0.539635,0.576696,0.612913,0.648248,0.682668,0.71614,0.748636,0.78013,0.8106,0.840028,0.868397,0.895696,0.921916,0.947052,0.971103,0.994068,1.01595,1.03677,1.05651,1.07521,1.09288,1.10953,1.12518,1.13985,1.15357,1.16636,1.17824,1.18924,1.19938,1.2087,1.21721,1.22495,1.23193,1.23817,1.24371,1.24857,1.25275,1.25629,1.25919,1.26147,1.26314,1.26422,1.2647,1.2646,1.2639,1.26263,1.26076,1.25829,1.25521,1.25152,1.24718,1.24219,1.23652,1.23014,1.22303,1.21515,1.20647,1.19695,1.18654,1.17521,1.16291,1.14957,1.13516,1.11962,1.10288,1.0849,1.0656,1.04493,1.02284,0.999246,0.974106,0.947359,0.918951,0.888835,0.856967,0.82331,0.787837,0.75053,0.71138,0.670394,0.62759,0.583002,0.536679,0.488686,0.439101,0.388022,0.335555,0.281819,0.22694,0.171049,0.114272,0.0567367,-0.00144552,-0.0601735,-0.11936,-0.178942,-0.238862},
{-3.17591,-3.14656,-3.11719,-3.0878,-3.05837,-3.02892,-2.99944,-2.96992,-2.94038,-2.91079,-2.88117,-2.85151,-2.82181,-2.79207,-2.76228,-2.73244,-2.70255,-2.6726,-2.6426,-2.61254,-2.58242,-2.55223,-2.52197,-2.49163,-2.46122,-2.43073,-2.40015,-2.36948,-2.33872,-2.30786,-2.27689,-2.24581,-2.21462,-2.18331,-2.15187,-2.1203,-2.08859,-2.05673,-2.02473,-1.99256,-1.96023,-1.92773,-1.89505,-1.86217,-1.8291,-1.79583,-1.76235,-1.72864,-1.6947,-1.66053,-1.62611,-1.59144,-1.5565,-1.52129,-1.4858,-1.45002,-1.41395,-1.37757,-1.34087,-1.30386,-1.26652,-1.22884,-1.19083,-1.15247,-1.11376,-1.0747,-1.03528,-0.995507,-0.955375,-0.914885,-0.87404,-0.832843,-0.791299,-0.749416,-0.707201,-0.664666,-0.621823,-0.578687,-0.535275,-0.491607,-0.447704,-0.403591,-0.359295,-0.314845,-0.270272,-0.225611,-0.180899,-0.136175,-0.0914792,-0.0468554,-0.00234854,0.0419946,0.086126,0.129996,0.173554,0.21675,0.259532,0.301847,0.343646,0.384876,0.425489,0.465434,0.504665,0.543136,0.580803,0.617624,0.653561,0.688577,0.72264,0.755717,0.787784,0.818815,0.848791,0.877695,0.905513,0.932236,0.957858,0.982376,1.00579,1.0281,1.04932,1.06946,1.08853,1.10654,1.12351,1.13946,1.15441,1.16839,1.18141,1.19351,1.2047,1.21502,1.22448,1.23312,1.24097,1.24803,1.25434,1.25993,1.2648,1.26899,1.27251,1.27538,1.2776,1.2792,1.28017,1.28053,1.28029,1.27943,1.27797,1.27589,1.2732,1.26987,1.26589,1.26126,1.25594,1.24992,1.24316,1.23564,1.22733,1.21819,1.20818,1.19725,1.18537,1.17248,1.15853,1.14348,1.12725,1.10981,1.09108,1.07101,1.04954,1.02661,1.00216,0.976137,0.948478,0.919137,0.88807,0.855235,0.8206,0.784143,0.745851,0.705722,0.663767,0.620013,0.574499,0.527282,0.478432,0.428038,0.3762,0.323029,0.268648,0.213186,0.156771,0.09953,0.0415838,-0.0169593,-0.0760073,-0.135481,-0.195319,-0.255477},
{-3.18749,-3.15815,-3.12878,-3.09938,-3.06996,-3.04051,-3.01103,-2.98151,-2.95197,-2.92239,-2.89277,-2.86311,-2.83341,-2.80367,-2.77388,-2.74404,-2.71415,-2.68421,-2.65421,-2.62415,-2.59403,-2.56384,-2.53358,-2.50325,-2.47284,-2.44234,-2.41177,-2.3811,-2.35034,-2.31947,-2.28851,-2.25743,-2.22624,-2.19493,-2.16349,-2.13191,-2.1002,-2.06834,-2.03633,-2.00416,-1.97183,-1.93932,-1.90663,-1.87374,-1.84066,-1.80738,-1.77388,-1.74016,-1.70621,-1.67201,-1.63757,-1.60287,-1.5679,-1.53266,-1.49714,-1.46132,-1.4252,-1.38877,-1.35202,-1.31495,-1.27754,-1.2398,-1.2017,-1.16326,-1.12446,-1.0853,-1.04577,-1.00588,-0.96562,-0.924993,-0.883999,-0.842642,-0.800926,-0.758857,-0.716445,-0.673697,-0.630628,-0.587251,-0.543582,-0.49964,-0.455448,-0.411028,-0.366408,-0.321616,-0.276683,-0.231645,-0.186536,-0.141397,-0.0962689,-0.0511945,-0.00621943,0.038609,0.0832421,0.12763,0.17172,0.215463,0.258803,0.30169,0.344069,0.38589,0.4271,0.467649,0.507488,0.546569,0.584847,0.622279,0.658824,0.694444,0.729104,0.762772,0.79542,0.827023,0.857558,0.887008,0.915358,0.942597,0.968718,0.993718,1.0176,1.04036,1.062,1.08254,1.102,1.12037,1.13769,1.15396,1.16922,1.18347,1.19676,1.2091,1.22051,1.23103,1.24068,1.24948,1.25746,1.26465,1.27107,1.27675,1.2817,1.28594,1.2895,1.29239,1.29462,1.2962,1.29715,1.29748,1.29718,1.29625,1.2947,1.29253,1.28972,1.28626,1.28214,1.27735,1.27186,1.26565,1.25869,1.25096,1.24242,1.23303,1.22276,1.21156,1.19939,1.1862,1.17194,1.15655,1.13999,1.12218,1.10309,1.08264,1.06078,1.03744,1.01258,0.986129,0.958041,0.928264,0.896756,0.863477,0.828397,0.791495,0.75276,0.712194,0.669808,0.625632,0.579709,0.532096,0.482867,0.432112,0.379932,0.326441,0.271762,0.216024,0.159354,0.101879,0.0437179,-0.0150238,-0.0742534,-0.133898,-0.193896,-0.254206},
{-3.19894,-3.1696,-3.14023,-3.11084,-3.08141,-3.05196,-3.02248,-2.99297,-2.96343,-2.93385,-2.90423,-2.87458,-2.84488,-2.81514,-2.78535,-2.75551,-2.72563,-2.69569,-2.66569,-2.63563,-2.60551,-2.57532,-2.54507,-2.51473,-2.48433,-2.45384,-2.42326,-2.39259,-2.36183,-2.33097,-2.3,-2.26893,-2.23774,-2.20642,-2.17498,-2.14341,-2.1117,-2.07984,-2.04782,-2.01565,-1.98331,-1.95079,-1.9181,-1.88521,-1.85212,-1.81882,-1.78531,-1.75157,-1.71761,-1.68339,-1.64893,-1.61421,-1.57922,-1.54395,-1.50839,-1.47253,-1.43637,-1.3999,-1.3631,-1.32597,-1.2885,-1.25069,-1.21252,-1.174,-1.13511,-1.09585,-1.05622,-1.01622,-0.975836,-0.935076,-0.893939,-0.852427,-0.810545,-0.768298,-0.725693,-0.682741,-0.639451,-0.595839,-0.551921,-0.507713,-0.463238,-0.41852,-0.373582,-0.328456,-0.283171,-0.237762,-0.192265,-0.146719,-0.101165,-0.0556478,-0.0102118,0.0350948,0.0802229,0.125121,0.169738,0.214021,0.257915,0.301367,0.344324,0.38673,0.428534,0.469682,0.510126,0.549815,0.588702,0.626743,0.663894,0.700117,0.735375,0.769633,0.802863,0.835037,0.866131,0.896128,0.92501,0.952766,0.979388,1.00487,1.02921,1.05242,1.07449,1.09544,1.11528,1.13402,1.15167,1.16827,1.18383,1.19836,1.21191,1.22448,1.23611,1.24683,1.25665,1.26561,1.27373,1.28104,1.28756,1.29332,1.29833,1.30262,1.3062,1.3091,1.31132,1.31288,1.31379,1.31406,1.31369,1.31267,1.31102,1.30872,1.30577,1.30216,1.29787,1.29289,1.2872,1.28077,1.27358,1.26559,1.25678,1.24711,1.23653,1.22501,1.21251,1.19896,1.18433,1.16855,1.15158,1.13336,1.11383,1.09293,1.07061,1.0468,1.02144,0.994492,0.965893,0.935598,0.903564,0.869755,0.834142,0.796708,0.757445,0.716354,0.673453,0.628773,0.58236,0.534276,0.484596,0.433413,0.380831,0.326965,0.271938,0.215881,0.158921,0.101182,0.0427806,-0.0161797,-0.0756093,-0.135439,-0.19561,-0.256084},
{-3.21027,-3.18092,-3.15156,-3.12216,-3.09274,-3.06329,-3.03382,-3.00431,-2.97476,-2.94519,-2.91557,-2.88592,-2.85622,-2.82648,-2.7967,-2.76686,-2.73698,-2.70704,-2.67704,-2.64699,-2.61687,-2.58668,-2.55643,-2.5261,-2.49569,-2.4652,-2.43463,-2.40397,-2.37321,-2.34235,-2.31138,-2.28031,-2.24912,-2.2178,-2.18636,-2.15479,-2.12308,-2.09121,-2.0592,-2.02702,-1.99468,-1.96216,-1.92946,-1.89656,-1.86347,-1.83016,-1.79664,-1.76289,-1.72891,-1.69468,-1.6602,-1.62546,-1.59044,-1.55514,-1.51955,-1.48366,-1.44747,-1.41095,-1.3741,-1.33692,-1.2994,-1.26152,-1.22329,-1.18469,-1.14572,-1.10637,-1.06664,-1.02652,-0.986024,-0.945136,-0.903861,-0.8622,-0.820157,-0.777737,-0.734947,-0.691795,-0.648292,-0.604452,-0.56029,-0.515824,-0.471073,-0.426062,-0.380815,-0.335361,-0.289731,-0.243959,-0.19808,-0.152134,-0.106162,-0.0602073,-0.0143167,0.0314621,0.0770792,0.122483,0.167621,0.212439,0.256883,0.300897,0.344426,0.387415,0.42981,0.471557,0.512604,0.5529,0.592396,0.631045,0.668804,0.705632,0.741488,0.776339,0.810153,0.842901,0.874559,0.905106,0.934525,0.962803,0.98993,1.0159,1.04071,1.06437,1.08687,1.10823,1.12846,1.14757,1.16558,1.1825,1.19837,1.21319,1.227,1.23982,1.25167,1.26259,1.2726,1.28172,1.28999,1.29742,1.30405,1.30989,1.31498,1.31932,1.32294,1.32586,1.32808,1.32964,1.33052,1.33074,1.33031,1.32922,1.32748,1.32508,1.32201,1.31827,1.31383,1.30869,1.30282,1.2962,1.2888,1.2806,1.27155,1.26163,1.25079,1.239,1.2262,1.21235,1.1974,1.1813,1.16399,1.14541,1.12551,1.10424,1.08152,1.05731,1.03155,1.00419,0.975167,0.944445,0.911979,0.877736,0.841689,0.803822,0.764128,0.722612,0.679294,0.634207,0.587398,0.538933,0.488888,0.437358,0.384448,0.330275,0.274963,0.218642,0.161438,0.103476,0.0448692,-0.0142808,-0.0738864,-0.13388,-0.194207,-0.25483},
{-3.22147,-3.19212,-3.16276,-3.13337,-3.10395,-3.0745,-3.04502,-3.01552,-2.98598,-2.9564,-2.92679,-2.89713,-2.86744,-2.8377,-2.80792,-2.77809,-2.7482,-2.71827,-2.68828,-2.65822,-2.62811,-2.59792,-2.56767,-2.53734,-2.50694,-2.47645,-2.44588,-2.41522,-2.38446,-2.35361,-2.32264,-2.29157,-2.26038,-2.22907,-2.19763,-2.16606,-2.13434,-2.10248,-2.07047,-2.03829,-2.00595,-1.97342,-1.94072,-1.90782,-1.87471,-1.8414,-1.80787,-1.77411,-1.74012,-1.70588,-1.67138,-1.63662,-1.60158,-1.56626,-1.53064,-1.49472,-1.45849,-1.42193,-1.38504,-1.34781,-1.31024,-1.2723,-1.234,-1.19533,-1.15628,-1.11684,-1.07702,-1.0368,-0.99619,-0.95518,-0.913773,-0.87197,-0.829772,-0.787186,-0.744216,-0.700872,-0.657163,-0.613102,-0.568704,-0.523986,-0.478968,-0.433672,-0.388124,-0.342351,-0.296384,-0.250256,-0.204004,-0.157666,-0.111284,-0.0649015,-0.0185646,0.0276781,0.0737763,0.119678,0.165329,0.210676,0.255662,0.300231,0.344326,0.387892,0.430873,0.473213,0.514858,0.555756,0.595857,0.635112,0.673475,0.710903,0.747356,0.782797,0.817193,0.850513,0.882732,0.913827,0.943781,0.972578,1.00021,1.02666,1.05194,1.07605,1.09898,1.12075,1.14136,1.16084,1.17919,1.19644,1.2126,1.2277,1.24177,1.25482,1.26689,1.278,1.28818,1.29746,1.30585,1.3134,1.32011,1.32603,1.33116,1.33554,1.33917,1.34209,1.34429,1.3458,1.34662,1.34677,1.34624,1.34504,1.34317,1.34062,1.33739,1.33346,1.32882,1.32346,1.31735,1.31048,1.30281,1.29431,1.28495,1.2747,1.26352,1.25135,1.23817,1.22392,1.20854,1.19199,1.17422,1.15516,1.13477,1.11298,1.08973,1.06498,1.03866,1.01072,0.981115,0.949799,0.916732,0.881884,0.845229,0.806754,0.766455,0.724342,0.680438,0.634778,0.587416,0.538419,0.487866,0.435858,0.3825,0.327913,0.27222,0.215552,0.158034,0.099789,0.0409273,-0.0184532,-0.0782688,-0.138457,-0.198965,-0.259758},
{-3.23254,-3.2032,-3.17384,-3.14445,-3.11503,-3.08559,-3.05611,-3.0266,-2.99707,-2.96749,-2.93788,-2.90823,-2.87854,-2.8488,-2.81902,-2.78919,-2.75931,-2.72938,-2.69939,-2.66934,-2.63923,-2.60905,-2.5788,-2.54847,-2.51807,-2.48759,-2.45702,-2.42636,-2.39561,-2.36475,-2.33379,-2.30272,-2.27153,-2.24022,-2.20879,-2.17722,-2.1455,-2.11364,-2.08163,-2.04945,-2.01711,-1.98458,-1.95187,-1.91897,-1.88586,-1.85255,-1.81901,-1.78524,-1.75124,-1.71698,-1.68247,-1.64769,-1.61264,-1.57729,-1.54165,-1.5057,-1.46944,-1.43285,-1.39592,-1.35864,-1.32102,-1.28303,-1.24466,-1.20592,-1.1668,-1.12728,-1.08737,-1.04705,-1.00633,-0.965207,-0.923673,-0.881732,-0.839386,-0.796638,-0.753496,-0.709965,-0.666056,-0.62178,-0.577152,-0.532189,-0.48691,-0.441336,-0.395493,-0.349407,-0.30311,-0.256634,-0.210014,-0.163291,-0.116505,-0.0696998,-0.0229222,0.0237791,0.0703534,0.116748,0.162909,0.208779,0.254304,0.299425,0.344086,0.388227,0.431792,0.474724,0.516968,0.558469,0.599176,0.639039,0.678009,0.716041,0.753095,0.789131,0.824114,0.858013,0.890799,0.922451,0.952946,0.982271,1.01041,1.03736,1.06312,1.08768,1.11105,1.13324,1.15426,1.17411,1.19282,1.21041,1.22688,1.24228,1.25662,1.26993,1.28223,1.29355,1.30392,1.31337,1.32192,1.3296,1.33643,1.34244,1.34766,1.35209,1.35578,1.35872,1.36094,1.36245,1.36325,1.36337,1.3628,1.36154,1.3596,1.35696,1.35363,1.34959,1.34483,1.33933,1.33307,1.32604,1.31819,1.30951,1.29996,1.2895,1.27809,1.2657,1.25228,1.23777,1.22214,1.20532,1.18727,1.16793,1.14724,1.12514,1.10159,1.07652,1.04988,1.02161,0.991681,0.960034,0.926634,0.891452,0.854464,0.815659,0.775034,0.732599,0.688379,0.642411,0.59475,0.545464,0.494635,0.442362,0.388754,0.33393,0.278015,0.221139,0.163426,0.104999,0.0459674,-0.0135733,-0.0735403,-0.133872,-0.194518,-0.255445},
{-3.2435,-3.21416,-3.1848,-3.15541,-3.12599,-3.09655,-3.06708,-3.03757,-3.00804,-2.97847,-2.94886,-2.91921,-2.88952,-2.85979,-2.83001,-2.80018,-2.7703,-2.74037,-2.71039,-2.68034,-2.65023,-2.62005,-2.58981,-2.55949,-2.52909,-2.49861,-2.46804,-2.43739,-2.40664,-2.37578,-2.34483,-2.31376,-2.28258,-2.25127,-2.21984,-2.18827,-2.15656,-2.1247,-2.09269,-2.06051,-2.02817,-1.99564,-1.96293,-1.93003,-1.89692,-1.8636,-1.83005,-1.79628,-1.76227,-1.728,-1.69348,-1.65869,-1.62361,-1.58825,-1.55259,-1.51661,-1.48032,-1.4437,-1.40673,-1.36942,-1.33174,-1.2937,-1.25528,-1.21648,-1.17729,-1.13769,-1.09769,-1.05729,-1.01647,-0.975228,-0.933573,-0.891501,-0.849013,-0.806112,-0.762804,-0.719094,-0.674992,-0.63051,-0.585661,-0.540461,-0.494929,-0.449087,-0.402958,-0.356569,-0.309951,-0.263136,-0.216159,-0.169061,-0.12188,-0.0746629,-0.0274548,0.0196951,0.0667354,0.113613,0.160273,0.206659,0.252713,0.298377,0.343592,0.3883,0.43244,0.475957,0.518791,0.560888,0.602193,0.642656,0.682225,0.720856,0.758503,0.795127,0.83069,0.865161,0.898508,0.930708,0.961739,0.991584,1.02023,1.04767,1.07389,1.09891,1.12271,1.1453,1.16671,1.18693,1.20598,1.22389,1.24066,1.25634,1.27093,1.28447,1.29698,1.30849,1.31903,1.32862,1.33729,1.34507,1.35198,1.35806,1.36331,1.36777,1.37145,1.37437,1.37655,1.378,1.37873,1.37875,1.37806,1.37667,1.37457,1.37176,1.36824,1.36399,1.35899,1.35325,1.34672,1.33939,1.33124,1.32222,1.31232,1.30149,1.28969,1.27689,1.26303,1.24807,1.23196,1.21465,1.19608,1.1762,1.15496,1.13229,1.10814,1.08246,1.05519,1.02629,0.995705,0.963396,0.929326,0.893468,0.855803,0.816321,0.775024,0.731926,0.687056,0.640456,0.592185,0.542314,0.490931,0.438137,0.384044,0.328773,0.272451,0.215206,0.157162,0.098439,0.0391416,-0.020638,-0.080822,-0.141354,-0.202186,-0.26329},
{-3.25434,-3.225,-3.19564,-3.16626,-3.13684,-3.1074,-3.07793,-3.04843,-3.01889,-2.98932,-2.95972,-2.93007,-2.90039,-2.87066,-2.84088,-2.81106,-2.78118,-2.75125,-2.72127,-2.69123,-2.66112,-2.63095,-2.6007,-2.57039,-2.53999,-2.50952,-2.47896,-2.4483,-2.41756,-2.38671,-2.35576,-2.32469,-2.29351,-2.26221,-2.23078,-2.19922,-2.16751,-2.13566,-2.10364,-2.07147,-2.03913,-2.0066,-1.97389,-1.94099,-1.90788,-1.87455,-1.84101,-1.80723,-1.77321,-1.73894,-1.70441,-1.6696,-1.63452,-1.59914,-1.56346,-1.52746,-1.49114,-1.45449,-1.41749,-1.38014,-1.34242,-1.30433,-1.26586,-1.227,-1.18774,-1.14807,-1.10799,-1.0675,-1.02658,-0.985238,-0.943469,-0.901271,-0.858646,-0.815598,-0.772129,-0.728246,-0.683958,-0.639276,-0.594212,-0.548782,-0.503004,-0.456899,-0.41049,-0.363805,-0.316872,-0.269724,-0.222397,-0.174929,-0.127361,-0.0797368,-0.0321035,0.0154897,0.0629911,0.110347,0.157502,0.204399,0.25098,0.297184,0.342953,0.388225,0.432942,0.477042,0.520467,0.563161,0.605068,0.646133,0.686306,0.725539,0.763785,0.801003,0.837154,0.872203,0.90612,0.938878,0.970454,1.00083,1.02999,1.05793,1.08464,1.11011,1.13436,1.15738,1.17918,1.19978,1.2192,1.23745,1.25454,1.27052,1.28539,1.29918,1.31193,1.32365,1.33438,1.34414,1.35297,1.36088,1.36791,1.37408,1.37942,1.38394,1.38767,1.39062,1.39281,1.39426,1.39497,1.39496,1.39422,1.39277,1.39059,1.3877,1.38407,1.37971,1.37459,1.3687,1.36203,1.35454,1.34621,1.33701,1.32691,1.31587,1.30386,1.29083,1.27673,1.26153,1.24516,1.22758,1.20874,1.18858,1.16705,1.14408,1.11964,1.09365,1.06607,1.03685,1.00595,0.973315,0.938922,0.902742,0.864755,0.824954,0.783341,0.739933,0.694759,0.647862,0.599303,0.549156,0.497507,0.444459,0.390126,0.334629,0.278094,0.22065,0.162419,0.103521,0.0440594,-0.0158751,-0.0762061,-0.136879,-0.197845,-0.25908},
{-3.26507,-3.23573,-3.20637,-3.17699,-3.14758,-3.11814,-3.08867,-3.05917,-3.02964,-3.00007,-2.97047,-2.94082,-2.91114,-2.88141,-2.85164,-2.82182,-2.79195,-2.76202,-2.73204,-2.702,-2.6719,-2.64173,-2.61149,-2.58118,-2.55079,-2.52032,-2.48976,-2.45911,-2.42837,-2.39753,-2.36658,-2.33552,-2.30435,-2.27305,-2.24162,-2.21006,-2.17836,-2.14651,-2.1145,-2.08233,-2.04999,-2.01747,-1.98476,-1.95186,-1.91875,-1.88542,-1.85188,-1.8181,-1.78407,-1.7498,-1.71526,-1.68044,-1.64535,-1.60995,-1.57425,-1.53824,-1.5019,-1.46522,-1.42819,-1.39081,-1.35305,-1.31492,-1.2764,-1.23748,-1.19816,-1.15843,-1.11828,-1.0777,-1.03669,-0.995251,-0.953372,-0.911056,-0.868302,-0.825113,-0.781492,-0.737444,-0.692978,-0.648104,-0.602833,-0.557182,-0.511167,-0.464809,-0.418131,-0.371159,-0.323922,-0.276452,-0.228785,-0.180958,-0.133012,-0.0849923,-0.0369449,0.0110807,0.0590325,0.106856,0.154496,0.201894,0.24899,0.295724,0.342036,0.387863,0.433145,0.47782,0.521827,0.565109,0.607607,0.649267,0.690035,0.729861,0.768698,0.806502,0.843232,0.878853,0.913331,0.946638,0.978751,1.00965,1.03932,1.06774,1.09492,1.12085,1.14553,1.16896,1.19115,1.21213,1.23189,1.25046,1.26786,1.28411,1.29924,1.31327,1.32622,1.33813,1.34903,1.35894,1.36788,1.3759,1.38301,1.38924,1.39461,1.39915,1.40287,1.4058,1.40795,1.40934,1.40997,1.40985,1.409,1.40741,1.40508,1.40201,1.39819,1.39361,1.38826,1.38212,1.37517,1.36739,1.35875,1.34922,1.33877,1.32736,1.31496,1.30152,1.28699,1.27134,1.2545,1.23644,1.21709,1.1964,1.17432,1.15079,1.12576,1.09918,1.07099,1.04114,1.0096,0.976329,0.941286,0.90445,0.865806,0.825351,0.78309,0.739043,0.693245,0.645742,0.596599,0.545894,0.493717,0.440175,0.385384,0.329466,0.272547,0.214757,0.156216,0.0970393,0.0373282,-0.0228319,-0.0833688,-0.144233,-0.20538,-0.266784},
{-3.27568,-3.24635,-3.21699,-3.18761,-3.1582,-3.12876,-3.0993,-3.0698,-3.04027,-3.0107,-2.9811,-2.95146,-2.92178,-2.89206,-2.86229,-2.83247,-2.80261,-2.77269,-2.74271,-2.71267,-2.68257,-2.65241,-2.62217,-2.59187,-2.56148,-2.53101,-2.50046,-2.46982,-2.43908,-2.40824,-2.3773,-2.34625,-2.31508,-2.28379,-2.25237,-2.22081,-2.18911,-2.15727,-2.12527,-2.0931,-2.06076,-2.02825,-1.99554,-1.96264,-1.92953,-1.89621,-1.86266,-1.82888,-1.79486,-1.76058,-1.72603,-1.69121,-1.6561,-1.6207,-1.58499,-1.54896,-1.5126,-1.4759,-1.43884,-1.40143,-1.36364,-1.32547,-1.28691,-1.24794,-1.20856,-1.16877,-1.12854,-1.08789,-1.0468,-1.00526,-0.96328,-0.920851,-0.877973,-0.834649,-0.790882,-0.746675,-0.702038,-0.656978,-0.611508,-0.565642,-0.519397,-0.472793,-0.425852,-0.3786,-0.331066,-0.283281,-0.23528,-0.1871,-0.138784,-0.0903743,-0.0419186,0.00653377,0.0549305,0.103217,0.151337,0.199231,0.246839,0.294101,0.340953,0.387334,0.433179,0.478428,0.523018,0.566888,0.60998,0.652237,0.693603,0.734027,0.77346,0.811855,0.849171,0.88537,0.920418,0.954284,0.986942,1.01837,1.04856,1.07749,1.10515,1.13154,1.15667,1.18053,1.20313,1.22449,1.24462,1.26353,1.28125,1.29781,1.31321,1.3275,1.34069,1.35282,1.36391,1.37399,1.3831,1.39125,1.39847,1.4048,1.41025,1.41485,1.41862,1.42158,1.42374,1.42513,1.42574,1.42559,1.42469,1.42304,1.42063,1.41748,1.41355,1.40886,1.40339,1.39711,1.39001,1.38207,1.37326,1.36355,1.35291,1.3413,1.32869,1.31502,1.30027,1.28437,1.26729,1.24897,1.22935,1.20839,1.18604,1.16222,1.1369,1.11003,1.08154,1.05139,1.01955,0.985963,0.950611,0.913467,0.874517,0.833757,0.791194,0.746851,0.700763,0.652977,0.60356,0.552591,0.500161,0.446378,0.391359,0.335224,0.278103,0.220123,0.161403,0.102059,0.0421902,-0.0181194,-0.0787987,-0.139799,-0.201078,-0.262611},
{-3.28619,-3.25686,-3.2275,-3.19812,-3.16871,-3.13928,-3.10982,-3.08032,-3.05079,-3.02123,-2.99163,-2.962,-2.93232,-2.9026,-2.87283,-2.84302,-2.81316,-2.78324,-2.75327,-2.72323,-2.69314,-2.66298,-2.63275,-2.60245,-2.57207,-2.54161,-2.51106,-2.48042,-2.44969,-2.41886,-2.38792,-2.35688,-2.32571,-2.29443,-2.26301,-2.23146,-2.19977,-2.16793,-2.13593,-2.10377,-2.07144,-2.03893,-2.00623,-1.97333,-1.94023,-1.90691,-1.87337,-1.83959,-1.80556,-1.77128,-1.73673,-1.70191,-1.66679,-1.63138,-1.59566,-1.55962,-1.52324,-1.48652,-1.44945,-1.41201,-1.37419,-1.33598,-1.29738,-1.25837,-1.21894,-1.17909,-1.1388,-1.09808,-1.0569,-1.01528,-0.973203,-0.930667,-0.887674,-0.844223,-0.800316,-0.755959,-0.711158,-0.665922,-0.620261,-0.57419,-0.527724,-0.480883,-0.433689,-0.386167,-0.338345,-0.290255,-0.24193,-0.193409,-0.144733,-0.0959443,-0.0470909,0.00177746,0.0506085,0.0993471,0.147936,0.196316,0.244427,0.292205,0.339589,0.386513,0.432913,0.478727,0.523891,0.568341,0.612019,0.654865,0.696822,0.737836,0.777858,0.816838,0.854734,0.891505,0.927115,0.961533,0.994733,1.02669,1.05739,1.08681,1.11495,1.1418,1.16737,1.19165,1.21465,1.23639,1.25687,1.27612,1.29415,1.31099,1.32666,1.34119,1.35461,1.36694,1.37821,1.38844,1.39768,1.40595,1.41327,1.41967,1.42517,1.42981,1.43359,1.43655,1.43869,1.44003,1.44059,1.44036,1.43937,1.43761,1.43508,1.43177,1.42769,1.42282,1.41716,1.41067,1.40335,1.39517,1.3861,1.37612,1.3652,1.35328,1.34035,1.32635,1.31125,1.29499,1.27753,1.25881,1.23879,1.21741,1.19462,1.17036,1.14458,1.11723,1.08826,1.05763,1.02528,0.991198,0.955338,0.917685,0.878225,0.836958,0.793895,0.749059,0.702488,0.654235,0.604368,0.552969,0.500132,0.445967,0.390592,0.334129,0.276707,0.218453,0.159485,0.0999151,0.0398405,-0.0206582,-0.0815141,-0.142679,-0.204116,-0.265799},
{-3.29659,-3.26726,-3.2379,-3.20853,-3.17912,-3.14969,-3.12023,-3.09074,-3.06121,-3.03165,-3.00206,-2.97242,-2.94275,-2.91303,-2.88327,-2.85346,-2.8236,-2.79369,-2.76372,-2.73369,-2.7036,-2.67345,-2.64322,-2.61293,-2.58255,-2.5521,-2.52156,-2.49093,-2.4602,-2.42937,-2.39844,-2.3674,-2.33625,-2.30497,-2.27356,-2.24202,-2.21034,-2.1785,-2.14651,-2.11436,-2.08203,-2.04953,-2.01684,-1.98394,-1.95085,-1.91753,-1.88399,-1.85021,-1.81619,-1.78191,-1.74736,-1.71254,-1.67742,-1.64201,-1.60628,-1.57022,-1.53384,-1.4971,-1.46001,-1.42254,-1.3847,-1.34646,-1.30782,-1.26877,-1.2293,-1.18939,-1.14905,-1.10826,-1.06701,-1.02531,-0.983141,-0.940506,-0.897402,-0.853831,-0.809793,-0.765292,-0.720335,-0.674929,-0.629085,-0.582816,-0.536137,-0.489068,-0.441629,-0.393845,-0.345744,-0.297357,-0.248717,-0.199863,-0.150834,-0.101675,-0.052432,-0.00315529,0.0461025,0.095286,0.144337,0.193197,0.241803,0.290093,0.338002,0.385465,0.432416,0.478791,0.524525,0.569554,0.613815,0.657249,0.699796,0.741401,0.782012,0.821579,0.860056,0.897402,0.933579,0.968554,1.0023,1.03479,1.066,1.09593,1.12455,1.15187,1.17788,1.20259,1.226,1.24812,1.26897,1.28857,1.30692,1.32406,1.34002,1.3548,1.36845,1.381,1.39246,1.40287,1.41226,1.42066,1.42809,1.43459,1.44017,1.44486,1.44868,1.45166,1.45381,1.45514,1.45568,1.45541,1.45436,1.45253,1.44992,1.44652,1.44233,1.43734,1.43154,1.4249,1.41742,1.40907,1.39982,1.38965,1.37852,1.36639,1.35323,1.339,1.32365,1.30713,1.28941,1.27042,1.25012,1.22845,1.20536,1.1808,1.15471,1.12704,1.09775,1.06679,1.03411,0.999696,0.963502,0.925513,0.88572,0.844121,0.80073,0.755572,0.708685,0.660126,0.609962,0.558277,0.505168,0.450744,0.395125,0.338434,0.280797,0.222344,0.163191,0.103448,0.0432111,-0.0174406,-0.0784417,-0.139746,-0.201317,-0.263131},
{-3.30688,-3.27755,-3.2482,-3.21883,-3.18942,-3.15999,-3.13054,-3.10105,-3.07153,-3.04197,-3.01238,-2.98275,-2.95308,-2.92336,-2.89361,-2.8638,-2.83395,-2.80404,-2.77407,-2.74405,-2.71397,-2.68382,-2.6536,-2.62331,-2.59294,-2.56249,-2.53195,-2.50133,-2.47061,-2.43979,-2.40887,-2.37784,-2.34669,-2.31542,-2.28402,-2.25248,-2.22081,-2.18898,-2.157,-2.12486,-2.09254,-2.06004,-2.02736,-1.99447,-1.96138,-1.92807,-1.89454,-1.86077,-1.82675,-1.79247,-1.75793,-1.7231,-1.68799,-1.65257,-1.61683,-1.58078,-1.54438,-1.50763,-1.47052,-1.43304,-1.39518,-1.35691,-1.31825,-1.27916,-1.23965,-1.19969,-1.1593,-1.11845,-1.07713,-1.03535,-0.993102,-0.950375,-0.907169,-0.863485,-0.819323,-0.774688,-0.729583,-0.684016,-0.637998,-0.591541,-0.544659,-0.497371,-0.449697,-0.401662,-0.353292,-0.304619,-0.255675,-0.206498,-0.157128,-0.10761,-0.0579882,-0.00831457,0.0413586,0.0909757,0.140479,0.189807,0.238898,0.287688,0.336112,0.384103,0.431595,0.478522,0.524817,0.570415,0.615251,0.659264,0.702394,0.744582,0.785775,0.825921,0.864973,0.902887,0.939624,0.975149,1.00943,1.04245,1.07417,1.10459,1.13369,1.16147,1.18793,1.21306,1.23687,1.25937,1.28058,1.30051,1.31918,1.33661,1.35283,1.36786,1.38174,1.39448,1.40612,1.41669,1.42622,1.43473,1.44226,1.44882,1.45446,1.45919,1.46303,1.466,1.46813,1.46942,1.4699,1.46956,1.46842,1.46648,1.46374,1.4602,1.45586,1.4507,1.4447,1.43787,1.43017,1.42158,1.41209,1.40165,1.39024,1.37782,1.36435,1.34979,1.33411,1.31724,1.29915,1.27978,1.25909,1.23701,1.2135,1.18851,1.16197,1.13385,1.1041,1.07267,1.03951,1.00461,0.967927,0.929448,0.889164,0.847079,0.803207,0.757575,0.710226,0.661219,0.610625,0.558529,0.505032,0.450244,0.394287,0.337284,0.279364,0.22065,0.16126,0.101302,0.0408694,-0.0199637,-0.0811349,-0.142599,-0.204323,-0.266282},
{-3.31707,-3.28775,-3.2584,-3.22902,-3.19963,-3.1702,-3.14074,-3.11126,-3.08174,-3.05219,-3.0226,-2.99297,-2.9633,-2.93359,-2.90384,-2.87404,-2.84419,-2.81429,-2.78433,-2.75431,-2.72423,-2.69409,-2.66387,-2.63359,-2.60323,-2.57278,-2.54226,-2.51164,-2.48093,-2.45012,-2.4192,-2.38818,-2.35704,-2.32578,-2.29439,-2.26286,-2.23119,-2.19938,-2.16741,-2.13527,-2.10296,-2.07047,-2.0378,-2.00492,-1.97184,-1.93854,-1.90501,-1.87125,-1.83724,-1.80297,-1.76843,-1.7336,-1.69849,-1.66307,-1.62734,-1.59128,-1.55487,-1.51812,-1.481,-1.44351,-1.40562,-1.36734,-1.32865,-1.28953,-1.24998,-1.20999,-1.16954,-1.12864,-1.08727,-1.04542,-1.00309,-0.960275,-0.916975,-0.873185,-0.828907,-0.784144,-0.7389,-0.693181,-0.646997,-0.60036,-0.553283,-0.505785,-0.457886,-0.409608,-0.360979,-0.312029,-0.26279,-0.2133,-0.163599,-0.11373,-0.0637391,-0.0136774,0.0364024,0.0864445,0.13639,0.186179,0.235747,0.28503,0.333962,0.382476,0.430503,0.477976,0.524827,0.570989,0.616397,0.660987,0.704696,0.747466,0.78924,0.829965,0.869592,0.908075,0.945373,0.98145,1.01627,1.04982,1.08206,1.11298,1.14256,1.17081,1.19771,1.22327,1.24748,1.27037,1.29195,1.31222,1.33121,1.34895,1.36544,1.38073,1.39484,1.4078,1.41963,1.43037,1.44005,1.44869,1.45633,1.46299,1.46869,1.47348,1.47735,1.48035,1.48247,1.48375,1.4842,1.48382,1.48261,1.4806,1.47777,1.47413,1.46967,1.46437,1.45824,1.45125,1.44338,1.43462,1.42493,1.41429,1.40266,1.39002,1.37632,1.36151,1.34557,1.32844,1.31007,1.29041,1.26942,1.24704,1.22322,1.1979,1.17104,1.14259,1.11249,1.08071,1.0472,1.01195,0.974907,0.93607,0.895428,0.852988,0.808763,0.762786,0.715099,0.665764,0.614852,0.562453,0.508667,0.453606,0.397392,0.34015,0.282008,0.223088,0.163509,0.103374,0.0427763,-0.018212,-0.0795306,-0.141136,-0.202996,-0.265087},
{-3.32716,-3.29784,-3.26849,-3.23912,-3.20973,-3.1803,-3.15085,-3.12137,-3.09185,-3.0623,-3.03272,-3.00309,-2.97343,-2.94373,-2.91398,-2.88418,-2.85434,-2.82444,-2.79448,-2.76447,-2.7344,-2.70426,-2.67405,-2.64378,-2.61342,-2.58299,-2.55247,-2.52186,-2.49115,-2.46035,-2.42945,-2.39843,-2.3673,-2.33604,-2.30466,-2.27315,-2.24149,-2.20969,-2.17772,-2.1456,-2.1133,-2.08083,-2.04816,-2.01529,-1.98222,-1.94893,-1.91542,-1.88166,-1.84766,-1.8134,-1.77886,-1.74405,-1.70894,-1.67352,-1.63779,-1.60173,-1.56533,-1.52857,-1.49144,-1.45394,-1.41604,-1.37774,-1.33903,-1.29989,-1.26031,-1.22028,-1.1798,-1.13884,-1.09742,-1.05551,-1.01311,-0.970216,-0.926828,-0.882942,-0.838556,-0.793674,-0.7483,-0.702438,-0.656098,-0.609291,-0.56203,-0.514333,-0.466218,-0.417709,-0.368832,-0.319617,-0.270095,-0.220304,-0.170283,-0.120075,-0.069728,-0.0192908,0.0311832,0.0816379,0.132014,0.182251,0.232284,0.282048,0.331477,0.380501,0.429051,0.477059,0.524456,0.571172,0.617141,0.662298,0.706577,0.749919,0.792265,0.83356,0.873753,0.912797,0.950649,0.987271,1.02263,1.05669,1.08944,1.12085,1.15091,1.17962,1.20696,1.23293,1.25755,1.28082,1.30275,1.32336,1.34266,1.36068,1.37745,1.39298,1.40731,1.42047,1.43248,1.44337,1.45318,1.46194,1.46966,1.47639,1.48215,1.48696,1.49085,1.49384,1.49594,1.49717,1.49756,1.49709,1.4958,1.49367,1.49071,1.48692,1.4823,1.47683,1.4705,1.4633,1.45521,1.4462,1.43625,1.42534,1.41343,1.40048,1.38646,1.37133,1.35504,1.33754,1.3188,1.29875,1.27735,1.25455,1.2303,1.20454,1.17722,1.14829,1.11772,1.08545,1.05145,1.01569,0.978139,0.938793,0.897643,0.854697,0.809973,0.763506,0.715341,0.665543,0.614189,0.561367,0.507184,0.451753,0.395196,0.337639,0.27921,0.22003,0.160215,0.0998667,0.0390723,-0.0220954,-0.0835828,-0.145348,-0.207361,-0.2696},
{-3.33716,-3.30784,-3.27849,-3.24912,-3.21973,-3.19031,-3.16086,-3.13138,-3.10187,-3.07232,-3.04274,-3.01312,-2.98346,-2.95376,-2.92402,-2.89423,-2.86439,-2.83449,-2.80455,-2.77454,-2.74447,-2.71434,-2.68414,-2.65387,-2.62352,-2.59309,-2.56258,-2.53198,-2.50129,-2.47049,-2.4396,-2.40859,-2.37747,-2.34623,-2.31486,-2.28335,-2.25171,-2.21991,-2.18796,-2.15585,-2.12356,-2.0911,-2.05845,-2.02559,-1.99253,-1.95926,-1.92575,-1.89201,-1.85801,-1.82376,-1.78924,-1.75443,-1.71933,-1.68393,-1.6482,-1.61214,-1.57574,-1.53898,-1.50185,-1.46434,-1.42644,-1.38813,-1.3494,-1.31024,-1.27063,-1.23058,-1.19006,-1.14906,-1.10759,-1.06562,-1.02316,-0.980199,-0.936731,-0.892755,-0.84827,-0.803277,-0.75778,-0.711784,-0.665297,-0.618329,-0.570894,-0.523006,-0.474686,-0.425956,-0.37684,-0.327369,-0.277574,-0.227492,-0.177161,-0.126625,-0.0759307,-0.0251275,0.0257313,0.0765893,0.127387,0.178063,0.228553,0.278791,0.328708,0.378235,0.427303,0.47584,0.523777,0.571043,0.617569,0.663288,0.708136,0.752048,0.794965,0.83683,0.87759,0.917195,0.955603,0.992771,1.02867,1.06326,1.09652,1.12842,1.15897,1.18814,1.21592,1.24233,1.26735,1.29101,1.3133,1.33426,1.35388,1.37221,1.38925,1.40505,1.41961,1.43298,1.44519,1.45626,1.46622,1.47511,1.48295,1.48977,1.4956,1.50047,1.5044,1.50741,1.50952,1.51074,1.5111,1.5106,1.50925,1.50705,1.50401,1.50012,1.49539,1.4898,1.48334,1.47599,1.46774,1.45857,1.44845,1.43735,1.42523,1.41208,1.39783,1.38247,1.36594,1.34819,1.32919,1.30888,1.2872,1.26412,1.23957,1.2135,1.18588,1.15664,1.12574,1.09314,1.05881,1.02271,0.984826,0.945141,0.903652,0.860369,0.815313,0.768517,0.720032,0.669923,0.618268,0.565159,0.510702,0.455012,0.398212,0.340429,0.28179,0.222415,0.162419,0.101902,0.0409497,-0.0203673,-0.0819975,-0.1439,-0.206046,-0.268414},
{-3.34705,-3.31773,-3.28839,-3.25903,-3.22964,-3.20022,-3.17077,-3.14129,-3.11179,-3.08224,-3.05267,-3.02305,-2.9934,-2.9637,-2.93396,-2.90418,-2.87434,-2.84446,-2.81451,-2.78451,-2.75445,-2.72433,-2.69414,-2.66387,-2.63353,-2.60311,-2.57261,-2.54202,-2.51133,-2.48055,-2.44966,-2.41867,-2.38755,-2.35632,-2.32496,-2.29347,-2.26184,-2.23006,-2.19812,-2.16602,-2.13375,-2.1013,-2.06866,-2.03582,-2.00277,-1.96951,-1.93602,-1.90229,-1.86831,-1.83407,-1.79956,-1.76477,-1.72968,-1.69428,-1.65856,-1.62251,-1.58612,-1.54936,-1.51223,-1.47472,-1.43681,-1.3985,-1.35976,-1.32058,-1.28096,-1.24088,-1.20033,-1.1593,-1.11778,-1.07577,-1.03326,-0.99023,-0.94669,-0.902633,-0.858057,-0.812963,-0.767353,-0.721232,-0.674608,-0.627489,-0.579888,-0.531822,-0.483307,-0.434366,-0.385023,-0.335308,-0.285251,-0.234889,-0.184261,-0.133408,-0.0823784,-0.031221,0.0200108,0.0712605,0.122468,0.173573,0.224508,0.275208,0.325603,0.375624,0.425198,0.474255,0.522723,0.57053,0.617605,0.66388,0.709288,0.753764,0.797245,0.839675,0.880997,0.92116,0.960119,0.997831,1.03426,1.06937,1.10314,1.13555,1.16657,1.1962,1.22444,1.25127,1.2767,1.30074,1.32341,1.34471,1.36466,1.38329,1.40061,1.41666,1.43147,1.44506,1.45746,1.4687,1.47882,1.48784,1.4958,1.50272,1.50863,1.51356,1.51753,1.52056,1.52268,1.5239,1.52423,1.52369,1.52229,1.52003,1.51691,1.51294,1.5081,1.5024,1.49581,1.48832,1.47993,1.47059,1.4603,1.44902,1.43671,1.42335,1.4089,1.39332,1.37656,1.35857,1.33932,1.31875,1.29681,1.27345,1.24862,1.22226,1.19434,1.16479,1.13358,1.10067,1.06601,1.02959,0.991377,0.951363,0.909545,0.865934,0.820553,0.773438,0.724641,0.674228,0.62228,0.568889,0.514165,0.458223,0.401187,0.343182,0.284338,0.224772,0.164599,0.103917,0.0428091,-0.0186551,-0.080426,-0.142464,-0.204742,-0.267238},
{-3.35685,-3.32754,-3.2982,-3.26884,-3.23945,-3.21003,-3.18059,-3.15112,-3.12161,-3.09207,-3.0625,-3.03289,-3.00324,-2.97355,-2.94382,-2.91404,-2.88421,-2.85433,-2.82439,-2.7944,-2.76434,-2.73423,-2.70404,-2.67378,-2.64345,-2.61304,-2.58255,-2.55197,-2.52129,-2.49052,-2.45964,-2.42866,-2.39756,-2.36634,-2.33499,-2.30351,-2.27189,-2.24012,-2.2082,-2.17611,-2.14386,-2.11142,-2.0788,-2.04597,-2.01294,-1.9797,-1.94622,-1.91251,-1.87854,-1.84432,-1.80983,-1.77505,-1.73997,-1.70459,-1.66888,-1.63284,-1.59645,-1.55971,-1.52259,-1.48508,-1.44717,-1.40885,-1.37011,-1.33092,-1.29129,-1.25119,-1.21062,-1.16956,-1.12801,-1.08596,-1.0434,-1.00032,-0.956712,-0.912583,-0.867925,-0.822739,-0.777026,-0.73079,-0.684039,-0.63678,-0.589026,-0.540791,-0.492093,-0.442954,-0.393396,-0.343449,-0.293144,-0.242515,-0.191601,-0.140445,-0.0890934,-0.0375952,0.0139962,0.0656241,0.117229,0.168748,0.220116,0.271265,0.322125,0.372626,0.422696,0.472261,0.521248,0.569584,0.617198,0.664018,0.709976,0.755006,0.799044,0.842029,0.883904,0.924617,0.96412,1.00237,1.03932,1.07495,1.10923,1.14212,1.17362,1.20371,1.23239,1.25964,1.28548,1.3099,1.33293,1.35457,1.37484,1.39376,1.41137,1.42767,1.44271,1.45651,1.4691,1.48051,1.49077,1.49992,1.50798,1.51499,1.52097,1.52595,1.52995,1.533,1.53512,1.53632,1.53662,1.53603,1.53457,1.53223,1.52902,1.52493,1.51997,1.51413,1.5074,1.49975,1.49118,1.48167,1.47117,1.45968,1.44716,1.43356,1.41887,1.40303,1.386,1.36773,1.34819,1.32731,1.30506,1.28138,1.25621,1.22951,1.20123,1.17132,1.13974,1.10644,1.0714,1.03458,0.995976,0.955564,0.913349,0.869342,0.823569,0.77607,0.726897,0.676121,0.623824,0.570101,0.515062,0.458825,0.401515,0.343258,0.284181,0.224402,0.164034,0.103171,0.041896,-0.0197252,-0.0816457,-0.143827,-0.206244,-0.268873},
{-3.36656,-3.33725,-3.30791,-3.27855,-3.24917,-3.21976,-3.19032,-3.16085,-3.13135,-3.10181,-3.07224,-3.04264,-3.013,-2.98331,-2.95358,-2.92381,-2.89398,-2.86411,-2.83418,-2.80419,-2.77415,-2.74404,-2.71386,-2.68361,-2.65329,-2.62289,-2.5924,-2.56183,-2.53116,-2.5004,-2.46954,-2.43856,-2.40748,-2.37627,-2.34494,-2.31347,-2.28187,-2.25011,-2.21821,-2.18614,-2.15389,-2.12148,-2.08887,-2.05606,-2.02305,-1.98982,-1.95636,-1.92267,-1.88872,-1.85452,-1.82004,-1.78528,-1.75022,-1.71485,-1.67916,-1.64314,-1.60676,-1.57003,-1.53292,-1.49542,-1.45752,-1.4192,-1.38045,-1.34127,-1.30163,-1.26152,-1.22093,-1.17985,-1.13828,-1.09619,-1.05359,-1.01046,-0.966801,-0.922608,-0.877877,-0.832608,-0.786801,-0.740461,-0.693592,-0.646203,-0.598306,-0.549914,-0.501044,-0.451717,-0.401956,-0.351788,-0.301245,-0.25036,-0.199173,-0.147726,-0.0960631,-0.0442354,0.00770439,0.0596996,0.11169,0.163613,0.215403,0.266992,0.318309,0.369281,0.419837,0.469902,0.519401,0.56826,0.616407,0.663767,0.710272,0.755852,0.800443,0.843981,0.886409,0.927672,0.967719,1.00651,1.04399,1.08014,1.11492,1.14831,1.18029,1.21085,1.23997,1.26765,1.2939,1.31872,1.34212,1.36411,1.38471,1.40395,1.42184,1.43842,1.4537,1.46773,1.48053,1.49213,1.50256,1.51186,1.52005,1.52718,1.53325,1.53831,1.54238,1.54548,1.54763,1.54885,1.54916,1.54856,1.54708,1.5447,1.54145,1.53732,1.5323,1.52638,1.51956,1.51183,1.50316,1.49353,1.48293,1.47131,1.45865,1.44492,1.43008,1.41409,1.3969,1.37847,1.35876,1.33771,1.31527,1.29139,1.26603,1.23913,1.21065,1.18053,1.14873,1.11521,1.07995,1.04291,1.00407,0.963425,0.920977,0.876738,0.830735,0.783007,0.733609,0.682612,0.630099,0.576168,0.52093,0.464501,0.407008,0.348577,0.289336,0.229402,0.168885,0.107882,0.0464715,-0.0152799,-0.0773269,-0.139632,-0.202169,-0.264917},
{-3.37618,-3.34687,-3.31754,-3.28818,-3.2588,-3.22939,-3.19995,-3.17049,-3.14099,-3.11146,-3.0819,-3.0523,-3.02266,-2.99298,-2.96325,-2.93349,-2.90367,-2.8738,-2.84388,-2.8139,-2.78386,-2.75376,-2.72359,-2.69335,-2.66304,-2.63264,-2.60217,-2.57161,-2.54095,-2.5102,-2.47935,-2.44839,-2.41732,-2.38612,-2.3548,-2.32335,-2.29176,-2.26003,-2.22814,-2.19608,-2.16386,-2.13146,-2.09887,-2.06608,-2.03309,-1.99988,-1.96644,-1.93277,-1.89884,-1.86466,-1.8302,-1.79546,-1.76042,-1.72507,-1.6894,-1.6534,-1.61704,-1.58032,-1.54323,-1.50574,-1.46785,-1.42954,-1.3908,-1.35162,-1.31198,-1.27186,-1.23127,-1.19018,-1.14858,-1.10647,-1.06384,-1.02067,-0.976964,-0.932717,-0.887923,-0.842581,-0.796691,-0.750256,-0.703282,-0.655775,-0.607746,-0.559209,-0.51018,-0.460678,-0.410726,-0.360352,-0.309585,-0.258459,-0.207013,-0.155288,-0.103329,-0.0511866,0.00108674,0.0534343,0.105796,0.158109,0.210306,0.262319,0.314078,0.365508,0.416536,0.467087,0.517085,0.566455,0.615121,0.66301,0.710049,0.756168,0.801301,0.845383,0.888354,0.930156,0.970739,1.01006,1.04806,1.08472,1.12001,1.15388,1.18634,1.21735,1.24692,1.27502,1.30168,1.32688,1.35065,1.37299,1.39392,1.41346,1.43164,1.44848,1.46401,1.47826,1.49126,1.50304,1.51363,1.52308,1.5314,1.53862,1.54479,1.54992,1.55404,1.55718,1.55936,1.56059,1.56089,1.56028,1.55876,1.55634,1.55303,1.54883,1.54373,1.53773,1.53081,1.52296,1.51417,1.50442,1.49367,1.4819,1.46909,1.45519,1.44017,1.42399,1.40661,1.38798,1.36805,1.34678,1.32411,1.3,1.2744,1.24724,1.21849,1.1881,1.15603,1.12223,1.08668,1.04934,1.01021,0.969266,0.926519,0.88198,0.835678,0.787657,0.73797,0.686693,0.63391,0.579718,0.524232,0.467569,0.409857,0.35122,0.291788,0.231675,0.170992,0.109833,0.0482752,-0.0136167,-0.0757989,-0.138235,-0.2009,-0.263772},
{-3.38571,-3.3564,-3.32707,-3.29772,-3.26834,-3.23893,-3.2095,-3.18004,-3.15055,-3.12102,-3.09146,-3.06187,-3.03223,-3.00256,-2.97284,-2.94308,-2.91327,-2.88341,-2.85349,-2.82352,-2.79349,-2.76339,-2.73323,-2.703,-2.6727,-2.64232,-2.61185,-2.5813,-2.55066,-2.51992,-2.48908,-2.45814,-2.42708,-2.3959,-2.3646,-2.33316,-2.30159,-2.26987,-2.23799,-2.20596,-2.17376,-2.14137,-2.1088,-2.07604,-2.04307,-2.00988,-1.97646,-1.94281,-1.90891,-1.87475,-1.84031,-1.8056,-1.77058,-1.73526,-1.69961,-1.66362,-1.62729,-1.59059,-1.55352,-1.51605,-1.47817,-1.43988,-1.40115,-1.36198,-1.32234,-1.28223,-1.24163,-1.20053,-1.15893,-1.1168,-1.07414,-1.03095,-0.987206,-0.942914,-0.898067,-0.852663,-0.806701,-0.760184,-0.713116,-0.665503,-0.617356,-0.568687,-0.519511,-0.469848,-0.41972,-0.369154,-0.318178,-0.266826,-0.215136,-0.163149,-0.11091,-0.058469,-0.0058782,0.0468055,0.099522,0.152208,0.204796,0.257218,0.309402,0.361274,0.412759,0.463781,0.514262,0.564127,0.613298,0.6617,0.70926,0.755905,0.801567,0.84618,0.889681,0.932012,0.973119,1.01295,1.05147,1.08863,1.12441,1.15876,1.19168,1.22315,1.25314,1.28167,1.30872,1.3343,1.35843,1.38111,1.40235,1.42219,1.44065,1.45774,1.4735,1.48796,1.50116,1.51311,1.52386,1.53343,1.54186,1.54918,1.55542,1.56061,1.56477,1.56794,1.57012,1.57134,1.57162,1.57097,1.5694,1.56691,1.56352,1.55923,1.55402,1.5479,1.54085,1.53286,1.52391,1.51398,1.50305,1.49109,1.47807,1.46396,1.44871,1.43229,1.41465,1.39576,1.37555,1.35399,1.33102,1.30659,1.28065,1.25316,1.22406,1.19331,1.16086,1.12668,1.09074,1.05301,1.01347,0.972123,0.92897,0.884027,0.837326,0.788912,0.738842,0.687194,0.634056,0.579527,0.523722,0.466763,0.408776,0.349887,0.290223,0.2299,0.169024,0.107687,0.0459644,-0.016083,-0.0784135,-0.140991,-0.203796,-0.266801},
{-3.39515,-3.36584,-3.33652,-3.30717,-3.27779,-3.24839,-3.21896,-3.18951,-3.16002,-3.1305,-3.10094,-3.07135,-3.04172,-3.01205,-2.98234,-2.95259,-2.92278,-2.89293,-2.86302,-2.83306,-2.80303,-2.77295,-2.7428,-2.71258,-2.68228,-2.65191,-2.62146,-2.59092,-2.56029,-2.52957,-2.49874,-2.46781,-2.43676,-2.4056,-2.37431,-2.34289,-2.31134,-2.27964,-2.24778,-2.21577,-2.18358,-2.15122,-2.11868,-2.08593,-2.05298,-2.01982,-1.98643,-1.9528,-1.91893,-1.88479,-1.85038,-1.81569,-1.78071,-1.74541,-1.70979,-1.67383,-1.63752,-1.60085,-1.56379,-1.52635,-1.4885,-1.45022,-1.41151,-1.37235,-1.33273,-1.29262,-1.25203,-1.21094,-1.16933,-1.12719,-1.08452,-1.0413,-0.997534,-0.953207,-0.908317,-0.86286,-0.816837,-0.770248,-0.723097,-0.67539,-0.627135,-0.578346,-0.529036,-0.479225,-0.428933,-0.378186,-0.327014,-0.275449,-0.223528,-0.171292,-0.118785,-0.066058,-0.0131622,0.0398454,0.0929047,0.145952,0.19892,0.25174,0.304339,0.356642,0.408575,0.460059,0.511016,0.561369,0.611039,0.659949,0.708025,0.755193,0.801382,0.846524,0.890555,0.933415,0.975048,1.0154,1.05444,1.09211,1.12838,1.16322,1.19661,1.22853,1.25898,1.28793,1.31539,1.34137,1.36587,1.3889,1.41049,1.43065,1.4494,1.46677,1.48279,1.49749,1.51091,1.52306,1.534,1.54374,1.55232,1.55978,1.56614,1.57143,1.57568,1.57892,1.58116,1.58243,1.58275,1.58212,1.58057,1.5781,1.5747,1.5704,1.56517,1.55902,1.55194,1.5439,1.53491,1.52493,1.51394,1.50192,1.48883,1.47463,1.45931,1.4428,1.42507,1.40607,1.38577,1.3641,1.34102,1.31647,1.29041,1.26279,1.23356,1.20267,1.17008,1.13576,1.09966,1.06178,1.02208,0.980574,0.937256,0.892146,0.845276,0.796693,0.746455,0.69464,0.641336,0.586645,0.530683,0.473569,0.415434,0.356401,0.296599,0.236142,0.175137,0.113675,0.0518299,-0.0103368,-0.0727844,-0.135477,-0.198395,-0.261512},
{-3.4045,-3.3752,-3.34588,-3.31653,-3.28716,-3.25776,-3.22834,-3.19889,-3.1694,-3.13989,-3.11034,-3.08075,-3.05113,-3.02147,-2.99176,-2.96201,-2.93221,-2.90237,-2.87247,-2.84251,-2.8125,-2.78242,-2.75228,-2.72207,-2.69179,-2.66143,-2.63099,-2.60046,-2.56984,-2.53913,-2.50832,-2.4774,-2.44637,-2.41523,-2.38395,-2.35255,-2.32102,-2.28934,-2.2575,-2.22551,-2.19335,-2.16101,-2.12848,-2.09577,-2.06284,-2.0297,-1.99634,-1.96274,-1.92889,-1.89479,-1.86041,-1.82575,-1.79079,-1.75552,-1.71993,-1.684,-1.64772,-1.61108,-1.57405,-1.53664,-1.49881,-1.46056,-1.42187,-1.38274,-1.34313,-1.30305,-1.26247,-1.22138,-1.17977,-1.13764,-1.09496,-1.05174,-1.00795,-0.963599,-0.918677,-0.873181,-0.827108,-0.78046,-0.733239,-0.685452,-0.637105,-0.58821,-0.538782,-0.488838,-0.438399,-0.387489,-0.336138,-0.284378,-0.232244,-0.179777,-0.127023,-0.0740292,-0.0208483,0.032463,0.0858444,0.139232,0.192559,0.245756,0.298749,0.351463,0.403821,0.455746,0.507158,0.557977,0.608125,0.657524,0.706095,0.753764,0.800459,0.84611,0.890651,0.934021,0.976161,1.01702,1.05655,1.0947,1.13145,1.16676,1.20061,1.23297,1.26384,1.2932,1.32106,1.34741,1.37226,1.39563,1.41753,1.43798,1.45701,1.47464,1.4909,1.50581,1.51942,1.53175,1.54284,1.55271,1.56141,1.56897,1.57541,1.58076,1.58506,1.58833,1.59059,1.59186,1.59217,1.59151,1.58992,1.58739,1.58392,1.57953,1.57421,1.56795,1.56075,1.55258,1.54344,1.53331,1.52215,1.50994,1.49665,1.48225,1.4667,1.44996,1.43198,1.41273,1.39215,1.37019,1.3468,1.32194,1.29555,1.26759,1.238,1.20674,1.17377,1.13905,1.10255,1.06426,1.02414,0.982214,0.938474,0.892944,0.845658,0.796665,0.746028,0.693828,0.640156,0.585116,0.528826,0.471409,0.412992,0.353702,0.293666,0.232996,0.171797,0.110157,0.0481464,-0.0141762,-0.0767727,-0.139609,-0.202666,-0.265917}
};
//LS coefficient for A=atomic weight * 1.05
double ls_coefficients_ahi[][200]=
{
{-0.0286005,-0.0269762,-0.0254384,-0.0239826,-0.0226044,-0.0212998,-0.0200648,-0.0188958,-0.0177891,-0.0167414,-0.0157495,-0.0148105,-0.0139213,-0.0130793,-0.0122818,-0.0115265,-0.0108109,-0.0101329,-0.00949027,-0.00888115,-0.0083036,-0.00775584,-0.00723615,-0.00674295,-0.0062747,-0.00582997,-0.00540738,-0.00500564,-0.00462354,-0.00425989,-0.00391361,-0.00358365,-0.00326903,-0.0029688,-0.00268208,-0.00240804,-0.00214586,-0.00189481,-0.00165416,-0.00142324,-0.0012014,-0.000988041,-0.000782573,-0.000584452,-0.000393159,-0.0002082,-2.91055e-05,0.000144568,0.000313242,0.000477319,0.000637177,0.000793179,0.000945667,0.00109497,0.00124139,0.00138522,0.00152675,0.00166624,0.00180394,0.00194008,0.0020749,0.00220859,0.00234138,0.00247345,0.00260497,0.00273611,0.00286704,0.00299791,0.00312884,0.00325998,0.00339143,0.00352331,0.00365572,0.00378874,0.00392247,0.00405695,0.00419227,0.00432847,0.00446558,0.00460364,0.00474267,0.00488268,0.00502366,0.00516561,0.00530849,0.00545228,0.00559694,0.00574239,0.00588858,0.00603543,0.00618284,0.00633071,0.00647894,0.0066274,0.00677595,0.00692445,0.00707275,0.0072207,0.00736812,0.00751483,0.00766066,0.00780541,0.0079489,0.00809094,0.00823133,0.00836987,0.00850638,0.00864065,0.00877251,0.00890177,0.00902826,0.00915181,0.00927227,0.00938949,0.00950334,0.00961369,0.00972045,0.00982352,0.00992282,0.0100183,0.0101099,0.0101976,0.0102814,0.0103612,0.0104372,0.0105093,0.0105776,0.010642,0.0107028,0.01076,0.0108136,0.0108637,0.0109105,0.010954,0.0109943,0.0110316,0.0110659,0.0110974,0.0111262,0.0111523,0.0111759,0.011197,0.0112157,0.0112322,0.0112464,0.0112584,0.0112682,0.011276,0.0112816,0.0112851,0.0112865,0.0112857,0.0112827,0.0112774,0.0112698,0.0112596,0.0112467,0.011231,0.0112123,0.0111902,0.0111645,0.0111349,0.0111009,0.0110622,0.0110182,0.0109684,0.0109121,0.0108486,0.0107772,0.0106967,0.0106064,0.0105049,0.010391,0.0102631,0.0101197,0.00995886,0.00977852,0.00957633,0.00934967,0.00909558,0.00881078,0.00849156,0.00813377,0.00773276,0.00728332,0.00677961,0.00621509,0.00558242,0.00487342,0.00407938,0.00318934,0.00219215,0.00107501,-0.000176368,-0.00157794,-0.00314752,-0.00490495,-0.00687157,-0.00907295,-0.0115359},
{-0.108683,-0.102922,-0.097437,-0.0922162,-0.0872489,-0.0825243,-0.0780321,-0.073762,-0.0697043,-0.0658493,-0.0621879,-0.0587109,-0.0554098,-0.0522762,-0.049302,-0.0464796,-0.0438014,-0.0412604,-0.0388496,-0.0365626,-0.0343929,-0.0323346,-0.0303819,-0.0285294,-0.0267717,-0.0251038,-0.023521,-0.0220186,-0.0205924,-0.0192382,-0.017952,-0.0167301,-0.015569,-0.0144651,-0.0134154,-0.0124167,-0.0114661,-0.0105608,-0.00969815,-0.00887573,-0.00809113,-0.00734208,-0.00662645,-0.0059422,-0.00528739,-0.00466021,-0.0040589,-0.00348182,-0.0029274,-0.00239416,-0.00188068,-0.00138563,-0.000907748,-0.000445819,1.29566e-06,0.000434677,0.00085535,0.00126429,0.00166242,0.0020506,0.00242967,0.00280041,0.00316356,0.00351982,0.00386984,0.00421425,0.00455363,0.00488854,0.00521949,0.00554697,0.00587143,0.00619329,0.00651293,0.00683073,0.007147,0.00746206,0.00777618,0.00808959,0.00840253,0.00871516,0.00902767,0.00934017,0.00965278,0.00996557,0.0102786,0.0105919,0.0109054,0.0112191,0.011533,0.011847,0.0121609,0.0124746,0.012788,0.0131009,0.013413,0.0137241,0.014034,0.0143424,0.014649,0.0149535,0.0152555,0.0155547,0.0158509,0.0161435,0.0164323,0.016717,0.016997,0.0172722,0.0175421,0.0178064,0.0180647,0.0183169,0.0185625,0.0188013,0.019033,0.0192574,0.0194744,0.0196838,0.0198853,0.020079,0.0202647,0.0204423,0.0206119,0.0207735,0.0209271,0.0210727,0.0212105,0.0213406,0.0214631,0.0215781,0.0216858,0.0217865,0.0218802,0.0219673,0.0220478,0.022122,0.0221902,0.0222524,0.022309,0.02236,0.0224057,0.0224462,0.0224817,0.0225122,0.0225379,0.0225589,0.0225751,0.0225867,0.0225936,0.0225956,0.0225929,0.0225851,0.0225721,0.0225537,0.0225296,0.0224994,0.0224628,0.0224191,0.0223678,0.0223083,0.0222398,0.0221614,0.0220721,0.0219707,0.021856,0.0217264,0.0215804,0.0214161,0.0212313,0.0210237,0.0207907,0.0205292,0.020236,0.0199071,0.0195385,0.0191254,0.0186624,0.0181438,0.0175626,0.0169117,0.0161824,0.015366,0.0144514,0.0134272,0.0122803,0.0109964,0.00955909,0.00795034,0.00615,0.00413605,0.00188305,-0.000636415,-0.00345299,-0.00660058,-0.0101166,-0.0140447,-0.0184274,-0.0233159,-0.0287653,-0.0348352},
{-0.223884,-0.213009,-0.202568,-0.192553,-0.182953,-0.173755,-0.16495,-0.156525,-0.148469,-0.140769,-0.133415,-0.126394,-0.119694,-0.113303,-0.10721,-0.101404,-0.0958714,-0.0906027,-0.0855866,-0.0808123,-0.0762693,-0.0719475,-0.0678369,-0.063928,-0.0602115,-0.0566782,-0.0533196,-0.0501272,-0.0470929,-0.0442089,-0.0414678,-0.0388623,-0.0363856,-0.034031,-0.0317921,-0.029663,-0.0276377,-0.0257108,-0.0238769,-0.0221309,-0.0204681,-0.0188837,-0.0173735,-0.0159331,-0.0145586,-0.0132462,-0.0119923,-0.0107934,-0.00964629,-0.00854775,-0.00749487,-0.00648481,-0.0055149,-0.00458258,-0.00368545,-0.0028212,-0.00198765,-0.00118273,-0.000404483,0.00034896,0.00107936,0.00178839,0.00247764,0.00314859,0.00380267,0.00444122,0.00506549,0.00567668,0.00627591,0.00686422,0.00744262,0.00801201,0.00857327,0.0091272,0.00967454,0.010216,0.0107521,0.0112836,0.0118109,0.0123346,0.0128549,0.0133724,0.0138872,0.0143997,0.0149101,0.0154186,0.0159253,0.0164302,0.0169334,0.0174348,0.0179344,0.0184321,0.0189277,0.0194211,0.0199119,0.0203999,0.0208849,0.0213663,0.021844,0.0223174,0.0227862,0.0232499,0.023708,0.0241601,0.0246056,0.025044,0.0254749,0.0258978,0.0263122,0.0267176,0.0271135,0.0274995,0.0278752,0.0282403,0.0285943,0.028937,0.0292681,0.0295873,0.0298945,0.0301896,0.0304723,0.0307428,0.0310009,0.0312467,0.0314802,0.0317017,0.0319111,0.0321088,0.0322949,0.0324696,0.0326333,0.0327862,0.0329286,0.0330608,0.0331831,0.0332959,0.0333994,0.0334941,0.03358,0.0336577,0.0337273,0.033789,0.0338431,0.0338898,0.0339292,0.0339615,0.0339867,0.0340048,0.0340158,0.0340197,0.0340164,0.0340055,0.0339869,0.0339602,0.033925,0.0338807,0.0338268,0.0337624,0.0336869,0.033599,0.0334978,0.0333819,0.0332498,0.0330999,0.0329301,0.0327385,0.0325225,0.0322794,0.032006,0.031699,0.0313544,0.0309677,0.0305341,0.0300481,0.0295034,0.0288931,0.0282095,0.0274437,0.0265864,0.0256263,0.0245514,0.0233482,0.0220015,0.0204944,0.0188081,0.0169217,0.0148122,0.0124533,0.00981647,0.00686995,0.00357859,-9.64072e-05,-0.00419959,-0.0087756,-0.0138772,-0.0195608,-0.0258898,-0.0329293,-0.0407528,-0.0494389},
{-0.356328,-0.340686,-0.325539,-0.310886,-0.296723,-0.283047,-0.269853,-0.257134,-0.244884,-0.233095,-0.221759,-0.210866,-0.200406,-0.19037,-0.180747,-0.171526,-0.162694,-0.154242,-0.146157,-0.138426,-0.131039,-0.123984,-0.117247,-0.110818,-0.104685,-0.0988357,-0.0932592,-0.0879442,-0.0828796,-0.0780547,-0.073459,-0.0690824,-0.0649147,-0.0609465,-0.0571684,-0.0535713,-0.0501465,-0.0468855,-0.0437803,-0.040823,-0.0380061,-0.0353223,-0.0327648,-0.0303268,-0.028002,-0.0257842,-0.0236677,-0.0216467,-0.0197161,-0.0178706,-0.0161054,-0.0144159,-0.0127976,-0.0112463,-0.00975799,-0.00832879,-0.00695508,-0.00563338,-0.0043604,-0.00313301,-0.00194821,-0.000803192,0.000304733,0.00137811,0.00241935,0.00343072,0.00441439,0.0053724,0.00630667,0.007219,0.00811112,0.0089846,0.00984097,0.0106816,0.0115079,0.0123209,0.0131219,0.0139119,0.0146917,0.0154624,0.0162247,0.0169793,0.0177268,0.0184678,0.0192028,0.0199321,0.0206561,0.021375,0.022089,0.0227982,0.0235028,0.0242025,0.0248974,0.0255873,0.026272,0.0269512,0.0276247,0.028292,0.0289527,0.0296064,0.0302525,0.0308906,0.0315201,0.0321404,0.0327509,0.033351,0.0339401,0.0345176,0.035083,0.0356355,0.0361747,0.0367,0.0372109,0.037707,0.0381877,0.0386529,0.039102,0.0395348,0.0399512,0.0403509,0.0407338,0.0410999,0.0414493,0.0417819,0.0420979,0.0423974,0.0426807,0.0429481,0.0431998,0.0434362,0.0436577,0.0438646,0.0440575,0.0442366,0.0444025,0.0445555,0.0446962,0.044825,0.0449423,0.0450484,0.0451438,0.0452288,0.0453038,0.045369,0.0454246,0.0454708,0.0455079,0.0455357,0.0455545,0.045564,0.0455642,0.0455549,0.0455357,0.0455064,0.0454663,0.0454149,0.0453514,0.045275,0.0451846,0.045079,0.044957,0.0448168,0.0446568,0.0444748,0.0442686,0.0440355,0.0437726,0.0434765,0.0431435,0.0427694,0.0423493,0.041878,0.0413495,0.0407571,0.0400932,0.0393495,0.0385167,0.0375841,0.0365399,0.0353712,0.0340631,0.0325995,0.030962,0.0291304,0.0270824,0.0247926,0.0222334,0.019374,0.0161802,0.0126146,0.00863444,0.0041956,-0.000752743,-0.0062655,-0.0124026,-0.0192308,-0.0268188,-0.0352438,-0.0445879,-0.0549357},
{-0.492346,-0.472912,-0.453947,-0.435458,-0.417451,-0.399931,-0.382902,-0.366367,-0.350327,-0.334782,-0.319731,-0.305173,-0.291103,-0.277517,-0.264411,-0.251777,-0.239609,-0.227898,-0.216636,-0.205814,-0.195421,-0.185447,-0.175882,-0.166715,-0.157933,-0.149525,-0.141479,-0.133784,-0.126427,-0.119396,-0.11268,-0.106266,-0.100143,-0.0942985,-0.0887222,-0.0834024,-0.0783281,-0.0734886,-0.0688734,-0.0644723,-0.0602755,-0.0562733,-0.0524563,-0.0488157,-0.0453427,-0.0420289,-0.0388662,-0.0358468,-0.0329632,-0.0302083,-0.0275751,-0.025057,-0.0226477,-0.020341,-0.0181313,-0.0160128,-0.0139804,-0.0120289,-0.0101536,-0.0083497,-0.00661296,-0.00493915,-0.00332431,-0.00176466,-0.000256614,0.00120324,0.00261812,0.0039911,0.00532505,0.00662272,0.00788668,0.00911936,0.010323,0.0114999,0.0126519,0.0137809,0.0148887,0.0159769,0.0170469,0.0181003,0.0191382,0.0201618,0.0211721,0.02217,0.0231564,0.0241319,0.0250972,0.0260528,0.0269991,0.0279364,0.0288649,0.0297847,0.0306959,0.0315985,0.0324922,0.0333769,0.0342523,0.0351181,0.0359738,0.0368189,0.037653,0.0384755,0.0392858,0.0400831,0.040867,0.0416366,0.0423912,0.0431303,0.0438531,0.0445589,0.045247,0.045917,0.0465681,0.0471999,0.0478118,0.0484035,0.0489745,0.0495245,0.0500534,0.0505609,0.051047,0.0515115,0.0519547,0.0523765,0.0527772,0.0531569,0.0535161,0.053855,0.0541741,0.0544738,0.0547546,0.055017,0.0552616,0.0554889,0.0556995,0.055894,0.0560729,0.0562369,0.0563864,0.0565221,0.0566443,0.0567535,0.0568503,0.0569349,0.0570077,0.0570689,0.0571188,0.0571575,0.057185,0.0572014,0.0572064,0.0572,0.0571818,0.0571514,0.0571082,0.0570515,0.0569806,0.0568945,0.0567919,0.0566715,0.0565318,0.056371,0.0561869,0.0559773,0.0557395,0.0554705,0.0551669,0.0548247,0.0544398,0.0540072,0.0535214,0.0529763,0.0523651,0.0516799,0.0509123,0.0500525,0.0490896,0.0480117,0.0468052,0.0454552,0.0439447,0.0422552,0.0403658,0.0382536,0.0358927,0.0332547,0.0303081,0.0270179,0.0233458,0.0192485,0.0146804,0.00959004,0.00392131,-0.00238673,-0.00940171,-0.0171937,-0.0258408,-0.035426,-0.0460352,-0.0577651},
{-0.623826,-0.601642,-0.579854,-0.558476,-0.537521,-0.517,-0.496926,-0.477307,-0.458152,-0.439471,-0.421268,-0.403551,-0.386322,-0.369586,-0.353343,-0.337595,-0.32234,-0.307577,-0.293302,-0.279513,-0.266202,-0.253366,-0.240995,-0.229084,-0.217623,-0.206603,-0.196014,-0.185847,-0.176089,-0.166731,-0.157761,-0.149166,-0.140936,-0.133058,-0.125521,-0.118311,-0.111418,-0.104829,-0.0985324,-0.0925163,-0.0867694,-0.0812804,-0.076038,-0.0710314,-0.0662501,-0.0616837,-0.0573221,-0.0531557,-0.0491749,-0.0453707,-0.0417341,-0.0382567,-0.0349302,-0.0317467,-0.0286985,-0.0257785,-0.0229794,-0.0202947,-0.0177178,-0.0152426,-0.0128632,-0.0105739,-0.00836933,-0.00624439,-0.00419417,-0.00221402,-0.000299511,0.00155356,0.00334917,0.0050911,0.00678294,0.00842805,0.0100296,0.0115907,0.013114,0.0146022,0.0160578,0.0174831,0.0188803,0.0202512,0.0215978,0.0229217,0.0242245,0.0255074,0.0267718,0.0280188,0.0292492,0.030464,0.0316639,0.0328493,0.0340208,0.0351786,0.0363231,0.0374543,0.0385721,0.0396766,0.0407674,0.0418444,0.042907,0.043955,0.0449877,0.0460046,0.047005,0.0479884,0.0489539,0.0499008,0.0508284,0.051736,0.0526228,0.053488,0.0543309,0.0551509,0.0559473,0.0567196,0.0574671,0.0581895,0.0588864,0.0595573,0.0602022,0.0608208,0.061413,0.0619788,0.0625184,0.063032,0.0635197,0.0639818,0.0644189,0.0648313,0.0652196,0.0655843,0.0659261,0.0662456,0.0665434,0.0668204,0.0670771,0.0673144,0.0675329,0.0677333,0.0679164,0.0680828,0.0682331,0.0683679,0.0684878,0.0685932,0.0686846,0.0687624,0.0688267,0.068878,0.0689161,0.0689413,0.0689534,0.0689523,0.0689376,0.068909,0.0688658,0.0688074,0.0687329,0.0686413,0.0685312,0.0684013,0.0682498,0.0680748,0.067874,0.0676449,0.0673846,0.0670898,0.0667567,0.0663812,0.0659584,0.0654831,0.0649493,0.0643503,0.0636785,0.0629254,0.0620816,0.0611367,0.0600787,0.0588944,0.0575691,0.0560865,0.0544281,0.0525738,0.0505008,0.0481841,0.0455957,0.0427048,0.0394772,0.0358754,0.031857,0.0273774,0.022386,0.0168279,0.0106434,0.00376658,-0.00387188,-0.0123484,-0.0217445,-0.0321454,-0.0436452,-0.0563395},
{-0.747011,-0.722922,-0.699148,-0.675705,-0.652609,-0.629874,-0.607515,-0.585548,-0.563985,-0.542839,-0.522123,-0.501848,-0.482024,-0.462662,-0.443768,-0.425351,-0.407415,-0.389966,-0.373007,-0.35654,-0.340566,-0.325085,-0.310095,-0.295594,-0.281577,-0.26804,-0.254978,-0.242383,-0.230248,-0.218565,-0.207324,-0.196516,-0.186132,-0.176159,-0.166588,-0.157406,-0.148603,-0.140166,-0.132084,-0.124343,-0.116933,-0.109841,-0.103055,-0.0965628,-0.0903532,-0.0844142,-0.0787344,-0.0733026,-0.0681079,-0.0631394,-0.0583866,-0.0538395,-0.0494881,-0.0453229,-0.0413345,-0.037514,-0.0338527,-0.0303422,-0.0269745,-0.023742,-0.020637,-0.0176526,-0.0147819,-0.0120184,-0.00935571,-0.00678798,-0.00430949,-0.00191482,0.00040121,0.0026435,0.0048167,0.00692523,0.00897326,0.0109647,0.0129034,0.0147927,0.0166359,0.0184362,0.0201963,0.0219189,0.0236066,0.0252615,0.0268858,0.0284814,0.03005,0.0315932,0.0331122,0.0346084,0.0360828,0.0375363,0.0389696,0.0403833,0.0417779,0.0431536,0.0445106,0.045849,0.0471686,0.0484694,0.0497509,0.0510129,0.0522548,0.0534761,0.0546761,0.0558543,0.0570098,0.0581419,0.0592498,0.0603328,0.06139,0.0624207,0.0634241,0.0643994,0.0653462,0.0662636,0.0671511,0.0680083,0.0688348,0.0696302,0.0703943,0.0711269,0.0718281,0.0724979,0.0731364,0.0737438,0.0743206,0.074867,0.0753837,0.0758711,0.0763299,0.0767609,0.0771647,0.0775421,0.077894,0.0782212,0.0785246,0.078805,0.0790633,0.0793003,0.0795169,0.0797139,0.0798919,0.0800518,0.0801941,0.0803195,0.0804285,0.0805215,0.0805989,0.080661,0.0807079,0.0807397,0.0807563,0.0807576,0.0807432,0.0807128,0.0806656,0.0806008,0.0805176,0.0804147,0.0802908,0.0801441,0.0799727,0.0797746,0.079547,0.0792872,0.0789918,0.0786571,0.0782789,0.0778524,0.0773723,0.0768325,0.0762263,0.075546,0.0747832,0.0739283,0.0729707,0.0718984,0.0706982,0.069355,0.0678525,0.0661722,0.0642935,0.0621937,0.0598474,0.0572266,0.0543001,0.0510336,0.0473892,0.0433251,0.0387945,0.0337483,0.0281309,0.0218822,0.0149364,0.00722378,-0.00133222,-0.0108131,-0.0213044,-0.0328998,-0.0456949,-0.05979},
{-0.860779,-0.835389,-0.810244,-0.785358,-0.760745,-0.736422,-0.712404,-0.688706,-0.665343,-0.642332,-0.619687,-0.597422,-0.575552,-0.554091,-0.53305,-0.512443,-0.492279,-0.47257,-0.453323,-0.434546,-0.416247,-0.39843,-0.381101,-0.36426,-0.347911,-0.332054,-0.316687,-0.301809,-0.287417,-0.273507,-0.260073,-0.247109,-0.234608,-0.222562,-0.210963,-0.199802,-0.189067,-0.17875,-0.168839,-0.159323,-0.150191,-0.14143,-0.133028,-0.124975,-0.117257,-0.109862,-0.102778,-0.0959938,-0.0894966,-0.0832748,-0.0773169,-0.0716114,-0.0661471,-0.0609131,-0.0558987,-0.0510936,-0.0464875,-0.0420708,-0.037834,-0.0337678,-0.0298633,-0.0261121,-0.0225059,-0.0190368,-0.0156971,-0.0124797,-0.00937742,-0.00638371,-0.00349216,-0.000696695,0.00200846,0.00462882,0.00716959,0.00963573,0.0120319,0.0143625,0.0166318,0.0188435,0.0210015,0.023109,0.0251692,0.0271852,0.0291596,0.0310948,0.0329933,0.034857,0.0366878,0.0384874,0.0402572,0.0419984,0.0437122,0.0453994,0.0470607,0.0486968,0.0503079,0.0518944,0.0534562,0.0549934,0.0565058,0.057993,0.0594547,0.0608904,0.0622995,0.0636814,0.0650352,0.0663604,0.0676561,0.0689215,0.0701557,0.071358,0.0725277,0.0736639,0.074766,0.0758334,0.0768654,0.0778616,0.0788217,0.0797452,0.080632,0.0814819,0.0822951,0.0830716,0.0838115,0.0845153,0.0851834,0.0858162,0.0864143,0.0869786,0.0875096,0.0880084,0.0884756,0.0889123,0.0893195,0.0896981,0.0900491,0.0903736,0.0906725,0.0909469,0.0911977,0.0914259,0.0916323,0.0918177,0.091983,0.0921288,0.0922558,0.0923644,0.0924551,0.0925283,0.0925841,0.0926227,0.092644,0.0926478,0.0926339,0.0926016,0.0925504,0.0924793,0.0923873,0.0922731,0.0921351,0.0919715,0.0917802,0.0915586,0.091304,0.0910132,0.0906824,0.0903075,0.0898838,0.089406,0.0888681,0.0882634,0.0875842,0.0868222,0.0859679,0.0850107,0.0839387,0.0827385,0.0813955,0.0798932,0.0782132,0.076335,0.074236,0.071891,0.0692719,0.0663479,0.0630849,0.059445,0.0553867,0.0508637,0.0458268,0.040221,0.0339866,0.0270588,0.0193665,0.0108354,0.00138403,-0.00907391,-0.0206277,-0.0333759,-0.0474169,-0.0628505},
{-0.965337,-0.939056,-0.912961,-0.887067,-0.861386,-0.835932,-0.81072,-0.785764,-0.761079,-0.736681,-0.712586,-0.688808,-0.665364,-0.642268,-0.619536,-0.597182,-0.57522,-0.553665,-0.532528,-0.511822,-0.491557,-0.471744,-0.452392,-0.433509,-0.415101,-0.397174,-0.379731,-0.362777,-0.346312,-0.330337,-0.314851,-0.299853,-0.28534,-0.271306,-0.257748,-0.244658,-0.232031,-0.219857,-0.208129,-0.196837,-0.185971,-0.175521,-0.165476,-0.155825,-0.146556,-0.137657,-0.129117,-0.120923,-0.113063,-0.105525,-0.0982961,-0.0913652,-0.08472,-0.0783486,-0.0722393,-0.0663807,-0.0607614,-0.0553707,-0.0501977,-0.0452319,-0.0404634,-0.0358822,-0.0314788,-0.0272441,-0.0231692,-0.0192454,-0.0154647,-0.011819,-0.00830087,-0.00490304,-0.00161858,0.00155912,0.00463634,0.00761906,0.0105129,0.0133234,0.0160554,0.0187138,0.0213031,0.0238275,0.0262909,0.028697,0.0310491,0.0333505,0.0356039,0.0378121,0.0399773,0.0421018,0.0441874,0.0462358,0.0482484,0.0502266,0.0521713,0.0540833,0.0559634,0.057812,0.0596293,0.0614154,0.0631705,0.0648942,0.0665863,0.0682464,0.069874,0.0714684,0.073029,0.0745551,0.0760459,0.0775006,0.0789185,0.0802986,0.0816403,0.0829427,0.0842053,0.0854273,0.0866083,0.0877476,0.0888451,0.0899003,0.0909131,0.0918834,0.0928114,0.0936972,0.0945411,0.0953435,0.0961048,0.0968259,0.0975072,0.0981498,0.0987544,0.0993221,0.0998538,0.100351,0.100814,0.101244,0.101643,0.102012,0.102352,0.102664,0.102949,0.103208,0.103442,0.103652,0.103839,0.104005,0.104148,0.104271,0.104373,0.104455,0.104518,0.10456,0.104583,0.104586,0.104569,0.10453,0.10447,0.104387,0.10428,0.104148,0.103988,0.103799,0.103578,0.103322,0.103029,0.102693,0.102312,0.10188,0.101393,0.100843,0.100224,0.099528,0.0987471,0.0978712,0.0968896,0.09579,0.094559,0.0931815,0.0916406,0.0899177,0.0879919,0.08584,0.0834365,0.0807528,0.0777575,0.0744157,0.0706892,0.0665358,0.0619083,0.0567571,0.0510262,0.0446551,0.0375785,0.0297245,0.021018,0.0113771,0.000714721,-0.0110588,-0.0240422,-0.0383341,-0.0540341,-0.0712486},
{-1.06145,-1.03454,-1.00778,-0.981172,-0.95473,-0.928466,-0.902393,-0.876522,-0.850868,-0.825445,-0.800267,-0.775349,-0.750707,-0.726356,-0.702311,-0.678587,-0.655201,-0.632168,-0.609501,-0.587217,-0.565328,-0.543848,-0.52279,-0.502165,-0.481984,-0.462256,-0.442991,-0.424195,-0.405874,-0.388035,-0.37068,-0.353811,-0.337432,-0.32154,-0.306135,-0.291215,-0.276777,-0.262815,-0.249324,-0.236297,-0.223728,-0.211608,-0.199929,-0.188679,-0.177851,-0.167432,-0.157412,-0.147779,-0.138523,-0.12963,-0.121088,-0.112887,-0.105012,-0.0974528,-0.0901963,-0.0832307,-0.0765439,-0.0701241,-0.0639597,-0.0580393,-0.0523519,-0.0468864,-0.0416323,-0.0365792,-0.0317172,-0.0270366,-0.0225279,-0.0181823,-0.0139908,-0.00994533,-0.0060377,-0.00226026,0.00139432,0.00493305,0.00836259,0.0116893,0.0149191,0.0180578,0.0211107,0.0240828,0.0269788,0.0298033,0.0325601,0.0352533,0.0378862,0.0404622,0.0429841,0.0454546,0.0478762,0.0502509,0.0525806,0.0548671,0.0571115,0.0593152,0.061479,0.0636037,0.0656897,0.0677375,0.0697471,0.0717186,0.0736517,0.0755463,0.0774019,0.0792179,0.0809938,0.0827289,0.0844224,0.0860737,0.0876819,0.0892462,0.0907659,0.0922403,0.0936686,0.0950504,0.096385,0.097672,0.0989111,0.100102,0.101245,0.102339,0.103385,0.104383,0.105334,0.106238,0.107095,0.107907,0.108674,0.109398,0.110078,0.110717,0.111316,0.111875,0.112396,0.112881,0.11333,0.113745,0.114128,0.114479,0.1148,0.115093,0.115357,0.115595,0.115808,0.115995,0.116159,0.116299,0.116417,0.116513,0.116586,0.116638,0.116668,0.116677,0.116663,0.116626,0.116565,0.11648,0.116369,0.11623,0.116062,0.115862,0.115627,0.115356,0.115043,0.114686,0.11428,0.11382,0.113299,0.112712,0.112052,0.111309,0.110476,0.109541,0.108493,0.10732,0.106006,0.104536,0.102893,0.101056,0.0990027,0.0967094,0.0941488,0.0912907,0.088102,0.084546,0.0805825,0.0761666,0.0712503,0.0657802,0.0596983,0.0529417,0.0454417,0.0371254,0.0279137,0.0177224,0.0064637,-0.00595771,-0.0196388,-0.0346803,-0.0511821,-0.0692502},
{-1.15003,-1.12268,-1.09543,-1.06831,-1.04132,-1.01446,-0.987758,-0.961215,-0.934845,-0.908659,-0.882671,-0.856894,-0.831343,-0.80603,-0.780972,-0.756183,-0.731678,-0.707474,-0.683585,-0.660027,-0.636815,-0.613965,-0.59149,-0.569406,-0.547724,-0.52646,-0.505623,-0.485225,-0.465276,-0.445786,-0.42676,-0.408208,-0.390132,-0.372539,-0.35543,-0.338807,-0.322671,-0.30702,-0.291853,-0.277167,-0.262957,-0.249217,-0.235942,-0.223125,-0.210757,-0.19883,-0.187334,-0.17626,-0.165596,-0.155333,-0.145458,-0.135959,-0.126826,-0.118046,-0.109606,-0.101495,-0.0937001,-0.0862092,-0.0790101,-0.0720908,-0.0654395,-0.0590445,-0.0528943,-0.0469777,-0.0412838,-0.0358019,-0.0305217,-0.025433,-0.0205262,-0.0157919,-0.011221,-0.00680481,-0.002535,0.00159645,0.00559716,0.00947443,0.0132352,0.016886,0.0204331,0.0238824,0.0272393,0.0305091,0.0336966,0.0368064,0.0398426,0.042809,0.0457092,0.0485465,0.0513237,0.0540435,0.0567081,0.0593197,0.0618801,0.0643907,0.0668527,0.0692673,0.0716352,0.0739569,0.0762328,0.0784632,0.0806479,0.0827869,0.0848798,0.0869263,0.0889258,0.0908777,0.0927814,0.0946362,0.0964412,0.0981959,0.0998994,0.101551,0.10315,0.104697,0.106189,0.107628,0.109013,0.110343,0.111619,0.11284,0.114007,0.11512,0.116181,0.117188,0.118143,0.119048,0.119902,0.120708,0.121465,0.122176,0.122842,0.123464,0.124044,0.124583,0.125083,0.125544,0.12597,0.12636,0.126717,0.127042,0.127335,0.1276,0.127835,0.128043,0.128224,0.12838,0.12851,0.128615,0.128696,0.128753,0.128786,0.128794,0.128777,0.128734,0.128666,0.128569,0.128444,0.128287,0.128098,0.127873,0.12761,0.127305,0.126955,0.126555,0.126099,0.125583,0.125001,0.124343,0.123604,0.122773,0.121841,0.120795,0.119624,0.118313,0.116845,0.115204,0.11337,0.11132,0.10903,0.106474,0.103622,0.10044,0.096892,0.0929383,0.0885346,0.0836321,0.0781789,0.072117,0.0653841,0.0579119,0.0496281,0.0404543,0.0303069,0.0190975,0.00673476,-0.00688063,-0.0218478,-0.0382666,-0.0562419,-0.0758735},
{-1.23199,-1.2043,-1.1767,-1.14919,-1.12179,-1.0945,-1.06732,-1.04028,-1.01337,-0.986609,-0.960009,-0.93358,-0.907333,-0.881282,-0.855441,-0.829823,-0.804442,-0.779313,-0.754451,-0.729873,-0.705592,-0.681624,-0.657986,-0.634692,-0.611758,-0.589197,-0.567025,-0.545253,-0.523896,-0.502966,-0.482472,-0.462425,-0.442835,-0.423708,-0.405051,-0.38687,-0.369169,-0.35195,-0.335216,-0.318966,-0.3032,-0.287915,-0.273109,-0.258777,-0.244914,-0.231514,-0.218569,-0.206071,-0.194012,-0.182382,-0.171172,-0.160369,-0.149965,-0.139947,-0.130304,-0.121023,-0.112093,-0.103501,-0.095235,-0.0872831,-0.0796329,-0.0722721,-0.0651888,-0.0583711,-0.0518074,-0.0454862,-0.0393964,-0.033527,-0.0278675,-0.0224075,-0.0171371,-0.0120466,-0.00712682,-0.00236877,0.00223609,0.00669597,0.0110187,0.0152117,0.0192821,0.0232365,0.0270814,0.0308226,0.0344658,0.0380162,0.0414785,0.0448575,0.0481571,0.0513813,0.0545334,0.0576166,0.0606338,0.0635874,0.0664796,0.0693122,0.072087,0.0748052,0.077468,0.080076,0.0826301,0.0851304,0.0875773,0.0899707,0.0923105,0.0945965,0.0968281,0.0990049,0.101126,0.103192,0.105201,0.107152,0.109045,0.11088,0.112656,0.114372,0.116027,0.117622,0.119156,0.12063,0.122043,0.123394,0.124686,0.125918,0.12709,0.128204,0.12926,0.13026,0.131204,0.132094,0.132931,0.133716,0.134452,0.135139,0.135779,0.136374,0.136926,0.137436,0.137906,0.138338,0.138732,0.139091,0.139417,0.139709,0.13997,0.140201,0.140403,0.140576,0.140722,0.140841,0.140933,0.140999,0.141038,0.141051,0.141037,0.140995,0.140925,0.140825,0.140694,0.140529,0.14033,0.140092,0.139813,0.139489,0.139117,0.138691,0.138207,0.137658,0.137038,0.136338,0.135551,0.134667,0.133674,0.132562,0.131315,0.12992,0.128359,0.126614,0.124663,0.122485,0.120052,0.117337,0.114308,0.110931,0.107168,0.102975,0.0983079,0.0931155,0.0873428,0.0809299,0.0738119,0.0659181,0.0571739,0.0474982,0.0368055,0.0250063,0.0120045,-0.00229751,-0.0180005,-0.0352038,-0.0540121,-0.0745228},
{-1.30813,-1.28018,-1.25231,-1.22451,-1.1968,-1.16917,-1.14164,-1.11421,-1.08689,-1.05969,-1.03262,-1.00569,-0.978906,-0.952283,-0.925832,-0.899565,-0.873494,-0.847635,-0.822,-0.796603,-0.771461,-0.746587,-0.721998,-0.697708,-0.673733,-0.650089,-0.626791,-0.603854,-0.581292,-0.559119,-0.537348,-0.515993,-0.495064,-0.474573,-0.454529,-0.434941,-0.415817,-0.397162,-0.378981,-0.361279,-0.344059,-0.32732,-0.311064,-0.295289,-0.279993,-0.265172,-0.250823,-0.236938,-0.223512,-0.210538,-0.198007,-0.18591,-0.174238,-0.16298,-0.152126,-0.141664,-0.131584,-0.121874,-0.11252,-0.103512,-0.0948377,-0.0864838,-0.0784386,-0.0706897,-0.0632252,-0.056033,-0.0491014,-0.0424189,-0.0359741,-0.029756,-0.0237539,-0.0179573,-0.0123561,-0.00694059,-0.0017013,0.0033708,0.00828436,0.0130477,0.0176686,0.0221547,0.0265131,0.0307505,0.0348732,0.0388871,0.0427978,0.0466105,0.05033,0.0539606,0.0575064,0.060971,0.0643577,0.0676696,0.0709092,0.0740789,0.0771805,0.0802159,0.0831863,0.0860929,0.0889366,0.091718,0.0944374,0.0970952,0.0996912,0.102225,0.104698,0.107107,0.109454,0.111737,0.113956,0.116111,0.1182,0.120223,0.12218,0.12407,0.125893,0.127649,0.129337,0.130957,0.13251,0.133996,0.135415,0.136768,0.138055,0.139277,0.140436,0.141533,0.142568,0.143544,0.144462,0.145323,0.146129,0.146882,0.147583,0.148235,0.14884,0.149398,0.149913,0.150385,0.150817,0.151209,0.151565,0.151885,0.15217,0.152423,0.152643,0.152832,0.152991,0.15312,0.15322,0.153291,0.153333,0.153346,0.15333,0.153282,0.153204,0.153093,0.152947,0.152765,0.152545,0.152282,0.151974,0.151617,0.151207,0.150738,0.150204,0.149599,0.148916,0.148147,0.147281,0.146308,0.145216,0.143993,0.142624,0.141091,0.139377,0.137462,0.135322,0.132933,0.130266,0.127292,0.123976,0.12028,0.116164,0.111583,0.106486,0.10082,0.0945266,0.0875416,0.0797962,0.0712158,0.0617221,0.0512304,0.0396515,0.0268934,0.0128571,-0.00255656,-0.019447,-0.0379176,-0.0580665,-0.07999},
{-1.37915,-1.351,-1.32292,-1.29489,-1.26693,-1.23904,-1.21123,-1.18351,-1.15587,-1.12833,-1.10089,-1.07357,-1.04636,-1.01929,-0.99236,-0.965581,-0.938965,-0.912523,-0.88627,-0.860217,-0.834379,-0.80877,-0.783403,-0.758295,-0.73346,-0.708914,-0.684673,-0.660751,-0.637165,-0.613928,-0.591057,-0.568565,-0.546466,-0.524773,-0.503498,-0.482653,-0.462247,-0.44229,-0.422791,-0.403755,-0.38519,-0.367099,-0.349485,-0.332351,-0.315697,-0.299523,-0.283828,-0.268607,-0.253858,-0.239575,-0.225752,-0.212383,-0.19946,-0.186973,-0.174914,-0.163273,-0.15204,-0.141203,-0.130752,-0.120674,-0.110958,-0.101592,-0.0925642,-0.0838614,-0.0754718,-0.0673832,-0.0595835,-0.0520607,-0.044803,-0.0377989,-0.0310369,-0.0245059,-0.0181952,-0.0120943,-0.00619299,-0.000481517,0.00504956,0.0104093,0.0156064,0.020649,0.0255451,0.0303021,0.034927,0.0394266,0.0438069,0.0480739,0.0522329,0.0562889,0.0602466,0.0641101,0.0678833,0.0715695,0.075172,0.0786933,0.0821358,0.0855017,0.0887926,0.09201,0.0951549,0.0982283,0.101231,0.104163,0.107025,0.109816,0.112537,0.115188,0.117767,0.120275,0.122712,0.125076,0.127367,0.129584,0.131728,0.133798,0.135793,0.137714,0.13956,0.141331,0.143029,0.144652,0.146201,0.147678,0.149084,0.150418,0.151683,0.152879,0.154008,0.155072,0.156073,0.157012,0.15789,0.158711,0.159476,0.160187,0.160846,0.161455,0.162016,0.162531,0.163002,0.163431,0.163819,0.164168,0.164481,0.164757,0.164999,0.165207,0.165382,0.165525,0.165637,0.165718,0.165768,0.165786,0.165772,0.165727,0.165647,0.165533,0.165382,0.165192,0.164961,0.164686,0.164363,0.163987,0.163556,0.163062,0.1625,0.161863,0.161143,0.160332,0.159419,0.158394,0.157244,0.155955,0.154513,0.152898,0.151094,0.149077,0.146825,0.144312,0.141507,0.13838,0.134895,0.131013,0.126691,0.121882,0.116535,0.110595,0.104,0.0966849,0.0885788,0.079606,0.0696851,0.0587301,0.0466513,0.0333528,0.0187373,0.00270451,-0.0148446,-0.0340126,-0.0548957,-0.0775876},
{-1.44565,-1.41735,-1.38909,-1.36088,-1.33273,-1.30464,-1.2766,-1.24864,-1.22075,-1.19293,-1.1652,-1.13757,-1.11003,-1.0826,-1.05529,-1.0281,-1.00105,-0.974139,-0.947387,-0.920804,-0.894401,-0.868192,-0.84219,-0.816408,-0.790862,-0.765566,-0.740535,-0.715785,-0.691331,-0.667189,-0.643373,-0.6199,-0.596784,-0.57404,-0.551681,-0.52972,-0.508171,-0.487045,-0.466353,-0.446104,-0.426307,-0.406969,-0.388096,-0.369694,-0.351767,-0.334316,-0.317343,-0.300848,-0.284829,-0.269285,-0.254212,-0.239604,-0.225457,-0.211764,-0.198517,-0.185709,-0.173329,-0.161369,-0.149818,-0.138666,-0.127901,-0.117512,-0.107487,-0.0978146,-0.0884823,-0.079478,-0.0707894,-0.0624045,-0.0543112,-0.0464974,-0.0389514,-0.0316616,-0.0246167,-0.0178057,-0.0112176,-0.0048422,0.00133073,0.0073109,0.0131077,0.01873,0.0241865,0.0294852,0.0346339,0.0396399,0.0445102,0.049251,0.0538685,0.0583683,0.0627555,0.0670348,0.0712106,0.0752869,0.0792671,0.0831544,0.0869516,0.0906611,0.094285,0.0978249,0.101282,0.104659,0.107955,0.111171,0.114307,0.117365,0.120343,0.123242,0.126062,0.128802,0.131463,0.134042,0.136541,0.138959,0.141295,0.143549,0.145721,0.147811,0.149819,0.151745,0.15359,0.155354,0.157037,0.158641,0.160167,0.161615,0.162987,0.164285,0.16551,0.166664,0.167748,0.168766,0.169718,0.170607,0.171436,0.172206,0.172919,0.173578,0.174186,0.174743,0.175252,0.175716,0.176136,0.176513,0.17685,0.177148,0.177409,0.177633,0.177821,0.177975,0.178094,0.178179,0.178231,0.178248,0.178231,0.178178,0.178089,0.177962,0.177794,0.177584,0.17733,0.177026,0.17667,0.176258,0.175783,0.175241,0.174624,0.173925,0.173136,0.172247,0.171247,0.170124,0.168865,0.167455,0.165877,0.164112,0.162139,0.159936,0.157476,0.154733,0.151674,0.148264,0.144466,0.140239,0.135536,0.130307,0.124497,0.118048,0.110896,0.10297,0.0941956,0.0844945,0.0737816,0.0619677,0.0489609,0.0346625,0.0189742,0.00179661,-0.0169718,-0.037428,-0.0596665,-0.0837716},
{-1.50815,-1.47972,-1.45132,-1.42297,-1.39466,-1.36639,-1.33818,-1.31002,-1.28192,-1.25389,-1.22593,-1.19804,-1.17023,-1.14251,-1.11489,-1.08737,-1.05996,-1.03268,-1.00552,-0.978506,-0.951642,-0.924941,-0.898415,-0.872077,-0.845941,-0.82002,-0.794329,-0.768882,-0.743694,-0.718781,-0.694158,-0.66984,-0.645844,-0.622184,-0.598875,-0.575932,-0.553369,-0.531199,-0.509436,-0.48809,-0.467173,-0.446695,-0.426665,-0.40709,-0.387977,-0.369331,-0.351156,-0.333455,-0.316229,-0.299479,-0.283204,-0.267402,-0.252068,-0.2372,-0.222791,-0.208835,-0.195325,-0.182253,-0.16961,-0.157386,-0.145572,-0.134156,-0.123129,-0.112477,-0.102191,-0.0922571,-0.0826644,-0.0734005,-0.0644533,-0.0558106,-0.0474606,-0.0393912,-0.0315908,-0.0240478,-0.0167511,-0.00968968,-0.00285285,0.0037697,0.0101879,0.0164114,0.0224494,0.0283106,0.0340035,0.0395358,0.0449153,0.0501488,0.055243,0.0602042,0.0650379,0.0697496,0.074344,0.0788255,0.0831982,0.0874657,0.0916311,0.0956972,0.0996664,0.103541,0.107322,0.111012,0.114612,0.118122,0.121543,0.124875,0.12812,0.131276,0.134343,0.137323,0.140214,0.143016,0.145728,0.148352,0.150885,0.153329,0.155683,0.157947,0.160122,0.162207,0.164203,0.166112,0.167932,0.169667,0.171316,0.172881,0.174364,0.175766,0.177089,0.178335,0.179506,0.180605,0.181633,0.182593,0.183487,0.184318,0.185089,0.1858,0.186456,0.187058,0.187608,0.188109,0.188563,0.188971,0.189336,0.189659,0.189941,0.190184,0.19039,0.190557,0.190689,0.190784,0.190843,0.190865,0.190851,0.190799,0.190708,0.190577,0.190403,0.190185,0.189918,0.189601,0.189228,0.188795,0.188297,0.187728,0.18708,0.186347,0.185518,0.184584,0.183533,0.182354,0.181032,0.179551,0.177895,0.176042,0.173972,0.171662,0.169083,0.166207,0.163001,0.15943,0.155454,0.151029,0.14611,0.140642,0.134571,0.127836,0.12037,0.112103,0.102957,0.0928521,0.0817021,0.0694163,0.0559019,0.0410595,0.0247904,0.00699609,-0.0124243,-0.0335659,-0.0565204,-0.0813683},
{-1.56708,-1.53854,-1.51003,-1.48156,-1.45312,-1.42471,-1.39635,-1.36803,-1.33977,-1.31155,-1.28339,-1.2553,-1.22727,-1.19931,-1.17144,-1.14365,-1.11595,-1.08835,-1.06086,-1.03349,-1.00625,-0.979139,-0.952179,-0.92538,-0.898752,-0.872308,-0.846062,-0.820028,-0.794219,-0.76865,-0.743336,-0.718294,-0.693537,-0.669082,-0.644944,-0.621138,-0.597679,-0.574583,-0.551862,-0.529531,-0.507602,-0.486088,-0.464999,-0.444346,-0.424137,-0.40438,-0.385082,-0.366248,-0.347883,-0.329989,-0.312567,-0.29562,-0.279144,-0.263139,-0.247602,-0.232527,-0.217911,-0.203745,-0.190024,-0.176739,-0.163882,-0.151443,-0.139412,-0.127779,-0.116533,-0.105662,-0.0951551,-0.0850002,-0.0751855,-0.065699,-0.0565287,-0.0476625,-0.0390886,-0.0307953,-0.0227708,-0.015004,-0.00748358,-0.000198898,0.00686055,0.0137049,0.0203439,0.0267869,0.0330428,0.0391201,0.045027,0.050771,0.0563593,0.0617987,0.0670954,0.0722552,0.0772834,0.0821851,0.0869645,0.0916258,0.0961725,0.100608,0.104935,0.109155,0.113272,0.117286,0.121199,0.125013,0.128727,0.132343,0.135862,0.139282,0.142605,0.145831,0.148959,0.15199,0.154922,0.157757,0.160493,0.163132,0.165672,0.168115,0.17046,0.172707,0.174859,0.176914,0.178875,0.180743,0.182518,0.184202,0.185797,0.187305,0.188728,0.190068,0.191327,0.192508,0.193612,0.194643,0.195604,0.196496,0.197323,0.198086,0.198789,0.199435,0.200025,0.200561,0.201047,0.201484,0.201873,0.202218,0.202519,0.202777,0.202995,0.203172,0.203309,0.203407,0.203466,0.203486,0.203465,0.203403,0.203299,0.203151,0.202957,0.202714,0.202418,0.202067,0.201655,0.201178,0.200629,0.200002,0.19929,0.198483,0.197572,0.196546,0.195394,0.1941,0.19265,0.191027,0.189212,0.187184,0.184919,0.182391,0.179572,0.176429,0.172929,0.169031,0.164695,0.159874,0.154516,0.148568,0.141969,0.134654,0.126554,0.117594,0.107695,0.0967708,0.0847334,0.0714905,0.0569444,0.0409971,0.0235499,0.00450286,-0.01624,-0.0387711,-0.0631735,-0.0895214},
{-1.62282,-1.59419,-1.56558,-1.537,-1.50845,-1.47993,-1.45145,-1.423,-1.39459,-1.36622,-1.3379,-1.30964,-1.28142,-1.25327,-1.22518,-1.19717,-1.16923,-1.14137,-1.1136,-1.08594,-1.05837,-1.03093,-1.00361,-0.976421,-0.94938,-0.922497,-0.895783,-0.869251,-0.842915,-0.816787,-0.790883,-0.765217,-0.739804,-0.714659,-0.689798,-0.665236,-0.640988,-0.617071,-0.593499,-0.570286,-0.547447,-0.524996,-0.502944,-0.481304,-0.460088,-0.439304,-0.418963,-0.399071,-0.379636,-0.360663,-0.342156,-0.324117,-0.30655,-0.289453,-0.272826,-0.256667,-0.240973,-0.22574,-0.210962,-0.196632,-0.182745,-0.169292,-0.156264,-0.143651,-0.131445,-0.119634,-0.108207,-0.0971543,-0.0864629,-0.0761216,-0.0661187,-0.0564421,-0.04708,-0.0380206,-0.0292521,-0.0207629,-0.0125417,-0.00457729,0.0031412,0.0106243,0.0178822,0.0249248,0.0317614,0.0384012,0.0448527,0.0511241,0.057223,0.0631568,0.0689321,0.0745554,0.0800323,0.0853684,0.0905684,0.0956369,0.100578,0.105395,0.110091,0.114669,0.119132,0.123481,0.127718,0.131844,0.135861,0.13977,0.14357,0.147264,0.15085,0.154329,0.157701,0.160966,0.164124,0.167176,0.170121,0.172959,0.17569,0.178315,0.180835,0.183249,0.185559,0.187766,0.18987,0.191874,0.193777,0.195583,0.197293,0.198909,0.200434,0.201869,0.203217,0.204481,0.205663,0.206766,0.207794,0.208748,0.209631,0.210447,0.211198,0.211886,0.212515,0.213087,0.213604,0.214068,0.214482,0.214847,0.215165,0.215437,0.215664,0.215848,0.215989,0.216087,0.216142,0.216154,0.216123,0.216046,0.215924,0.215752,0.21553,0.215254,0.214921,0.214525,0.214063,0.213529,0.212916,0.212216,0.211422,0.210523,0.209509,0.208369,0.207088,0.205651,0.204042,0.202241,0.200229,0.197981,0.195473,0.192676,0.189558,0.186085,0.182219,0.177918,0.173136,0.167824,0.161927,0.155386,0.148136,0.14011,0.131233,0.121427,0.110607,0.0986852,0.0855707,0.0711668,0.0553759,0.0380989,0.0192389,-0.0013026,-0.0236166,-0.0477896,-0.0738946,-0.101997},
{-1.67568,-1.64697,-1.61829,-1.58962,-1.56098,-1.53236,-1.50377,-1.4752,-1.44668,-1.41818,-1.38973,-1.36131,-1.33294,-1.30462,-1.27636,-1.24815,-1.22001,-1.19193,-1.16393,-1.13602,-1.10819,-1.08046,-1.05283,-1.02532,-0.99793,-0.970675,-0.943564,-0.916609,-0.889823,-0.863218,-0.836806,-0.810603,-0.784623,-0.758879,-0.733388,-0.708164,-0.683223,-0.65858,-0.634252,-0.610252,-0.586597,-0.5633,-0.540376,-0.517839,-0.4957,-0.473972,-0.452666,-0.431791,-0.411357,-0.391372,-0.37184,-0.352769,-0.334162,-0.316021,-0.298349,-0.281145,-0.264409,-0.248138,-0.232328,-0.216977,-0.202078,-0.187624,-0.17361,-0.160026,-0.146864,-0.134114,-0.121768,-0.109813,-0.0982395,-0.0870364,-0.076192,-0.0656947,-0.0555328,-0.0456947,-0.0361685,-0.0269426,-0.0180054,-0.00934567,-0.000952186,0.00718589,0.0150791,0.0227378,0.0301716,0.0373902,0.0444026,0.0512174,0.0578428,0.0642864,0.0705556,0.0766571,0.0825973,0.0883818,0.0940162,0.0995051,0.104853,0.110064,0.115142,0.120089,0.124908,0.129603,0.134174,0.138623,0.142952,0.147162,0.151254,0.155227,0.159084,0.162824,0.166447,0.169954,0.173345,0.17662,0.179779,0.182822,0.18575,0.188563,0.191263,0.193848,0.196322,0.198684,0.200935,0.203079,0.205115,0.207047,0.208875,0.210603,0.212233,0.213767,0.215208,0.216559,0.217823,0.219002,0.220101,0.221121,0.222066,0.222938,0.223742,0.224479,0.225153,0.225766,0.226321,0.22682,0.227265,0.227659,0.228003,0.228298,0.228547,0.22875,0.228908,0.229021,0.229089,0.229113,0.229091,0.229022,0.228906,0.228739,0.228521,0.228247,0.227914,0.227517,0.227053,0.226515,0.225896,0.22519,0.224387,0.223478,0.222452,0.221298,0.220001,0.218546,0.216917,0.215094,0.213057,0.210782,0.208243,0.205413,0.202258,0.198744,0.194834,0.190485,0.185652,0.180283,0.174325,0.167718,0.160398,0.152296,0.143338,0.133445,0.122533,0.110515,0.0972987,0.082788,0.0668857,0.0494933,0.0305139,0.00985017,-0.0125885,-0.0368877,-0.0631198,-0.0913488},
{-1.72594,-1.69717,-1.66841,-1.63967,-1.61094,-1.58224,-1.55356,-1.5249,-1.49627,-1.46767,-1.4391,-1.41056,-1.38206,-1.35359,-1.32518,-1.29681,-1.26849,-1.24023,-1.21203,-1.18391,-1.15585,-1.12788,-1.09999,-1.0722,-1.04451,-1.01694,-0.989492,-0.962175,-0.935003,-0.907987,-0.88114,-0.854473,-0.828,-0.801736,-0.775695,-0.749891,-0.72434,-0.699057,-0.674057,-0.649357,-0.62497,-0.600914,-0.577202,-0.553849,-0.530869,-0.508276,-0.486081,-0.464297,-0.442934,-0.422003,-0.401511,-0.381466,-0.361874,-0.342741,-0.32407,-0.305864,-0.288123,-0.270849,-0.254039,-0.237692,-0.221803,-0.206368,-0.191383,-0.176839,-0.162731,-0.149049,-0.135785,-0.12293,-0.110473,-0.0984049,-0.0867137,-0.0753887,-0.0644186,-0.053792,-0.0434972,-0.0335226,-0.0238569,-0.0144884,-0.00540602,0.00340138,0.0119446,0.0202342,0.0282803,0.0360927,0.043681,0.0510541,0.0582207,0.0651888,0.0719662,0.07856,0.0849771,0.0912235,0.0973051,0.103227,0.108994,0.114611,0.120082,0.125409,0.130596,0.135646,0.140561,0.145342,0.149992,0.154512,0.158903,0.163165,0.1673,0.171308,0.175189,0.178944,0.182573,0.186077,0.189455,0.192709,0.195838,0.198844,0.201727,0.204488,0.207128,0.209648,0.212051,0.214337,0.216509,0.218569,0.220518,0.22236,0.224097,0.225731,0.227267,0.228706,0.230052,0.231308,0.232478,0.233564,0.234571,0.2355,0.236356,0.237141,0.237859,0.238512,0.239103,0.239635,0.24011,0.24053,0.240898,0.241214,0.24148,0.241698,0.241868,0.241991,0.242067,0.242095,0.242075,0.242007,0.241888,0.241716,0.241489,0.241204,0.240858,0.240445,0.23996,0.239399,0.238753,0.238015,0.237177,0.236228,0.235157,0.233952,0.232598,0.231079,0.229379,0.227478,0.225353,0.22298,0.220334,0.217384,0.214098,0.210439,0.206369,0.201844,0.196817,0.191236,0.185046,0.178185,0.170589,0.162185,0.1529,0.142653,0.131358,0.118928,0.105269,0.0902849,0.0738789,0.0559524,0.0364098,0.015155,-0.00789989,-0.0328375,-0.0597261,-0.0886251},
{-1.77384,-1.74501,-1.71619,-1.68738,-1.65859,-1.62981,-1.60105,-1.57231,-1.54359,-1.5149,-1.48622,-1.45758,-1.42896,-1.40038,-1.37183,-1.34332,-1.31486,-1.28644,-1.25807,-1.22976,-1.20151,-1.17333,-1.14522,-1.11719,-1.08925,-1.0614,-1.03366,-1.00603,-0.978528,-0.951157,-0.923932,-0.896863,-0.869963,-0.843245,-0.816722,-0.79041,-0.764321,-0.738472,-0.712878,-0.687553,-0.662513,-0.637774,-0.613351,-0.58926,-0.565514,-0.54213,-0.519119,-0.496497,-0.474273,-0.452461,-0.431071,-0.410112,-0.389592,-0.369519,-0.349898,-0.330735,-0.312031,-0.293791,-0.276014,-0.2587,-0.241848,-0.225456,-0.209518,-0.194031,-0.178989,-0.164385,-0.150211,-0.13646,-0.123122,-0.110188,-0.0976484,-0.0854918,-0.073708,-0.0622858,-0.051214,-0.0404814,-0.0300766,-0.0199882,-0.0102049,-0.000715615,0.00849061,0.0174245,0.0260964,0.0345165,0.0426946,0.0506399,0.0583615,0.0658678,0.0731669,0.0802664,0.0871734,0.0938946,0.100436,0.106803,0.113002,0.119036,0.12491,0.130628,0.136194,0.141609,0.146877,0.152,0.15698,0.161818,0.166515,0.171074,0.175494,0.179777,0.183922,0.187931,0.191805,0.195543,0.199146,0.202614,0.205949,0.209152,0.212222,0.215162,0.217972,0.220655,0.223211,0.225642,0.227952,0.230141,0.232213,0.23417,0.236015,0.237751,0.239381,0.240908,0.242337,0.24367,0.24491,0.246062,0.247128,0.248113,0.249019,0.249849,0.250608,0.251298,0.251922,0.252482,0.252982,0.253422,0.253806,0.254136,0.254412,0.254635,0.254807,0.254928,0.254998,0.255016,0.254983,0.254896,0.254754,0.254555,0.254295,0.253972,0.253581,0.253117,0.252574,0.251947,0.251227,0.250405,0.249473,0.248419,0.24723,0.245894,0.244394,0.242713,0.240832,0.23873,0.236382,0.233762,0.230842,0.227589,0.223968,0.21994,0.215462,0.210488,0.204967,0.198844,0.192058,0.184546,0.176237,0.167057,0.156927,0.145763,0.133477,0.119977,0.105169,0.088955,0.0712375,0.0519207,0.0309091,0.00811375,-0.0165485,-0.043148,-0.071744,-0.102383},
{-1.81958,-1.7907,-1.76183,-1.73296,-1.70411,-1.67527,-1.64645,-1.61763,-1.58884,-1.56006,-1.5313,-1.50256,-1.47384,-1.44515,-1.41649,-1.38786,-1.35926,-1.33071,-1.30219,-1.27372,-1.2453,-1.21694,-1.18864,-1.1604,-1.13224,-1.10416,-1.07617,-1.04827,-1.02048,-0.992796,-0.965242,-0.937822,-0.910549,-0.883433,-0.856489,-0.829729,-0.803167,-0.776817,-0.750694,-0.724813,-0.699189,-0.673837,-0.648774,-0.624014,-0.599574,-0.575467,-0.551709,-0.528315,-0.505296,-0.482667,-0.46044,-0.438625,-0.417233,-0.396272,-0.375751,-0.355677,-0.336054,-0.316887,-0.298179,-0.279932,-0.262146,-0.244821,-0.227954,-0.211543,-0.195583,-0.18007,-0.164997,-0.150357,-0.136144,-0.122347,-0.108959,-0.0959699,-0.0833694,-0.0711471,-0.0592925,-0.0477946,-0.0366424,-0.0258246,-0.0153302,-0.00514814,0.0047326,0.0143228,0.023633,0.0326734,0.0414541,0.0499846,0.0582742,0.0663318,0.0741656,0.0817836,0.0891933,0.0964017,0.103415,0.11024,0.116881,0.123344,0.129633,0.135753,0.141707,0.147498,0.153129,0.158602,0.163921,0.169086,0.174099,0.178961,0.183674,0.188239,0.192656,0.196926,0.201049,0.205028,0.208861,0.21255,0.216096,0.2195,0.222763,0.225886,0.228871,0.231719,0.234432,0.237013,0.239463,0.241785,0.243983,0.246058,0.248014,0.249854,0.251582,0.253201,0.254714,0.256126,0.257439,0.258659,0.259788,0.260829,0.261788,0.262667,0.263469,0.264199,0.264858,0.265449,0.265977,0.266441,0.266846,0.267192,0.267482,0.267715,0.267894,0.268019,0.268089,0.268105,0.268065,0.267968,0.267813,0.267596,0.267314,0.266965,0.266543,0.266044,0.26546,0.264786,0.264013,0.263131,0.262132,0.261002,0.259729,0.258297,0.256692,0.254893,0.252882,0.250634,0.248126,0.245329,0.242212,0.238741,0.23488,0.230588,0.225819,0.220526,0.214653,0.208145,0.200939,0.192968,0.184159,0.174435,0.163716,0.151915,0.138943,0.124706,0.109109,0.092054,0.0734446,0.0531868,0.0311873,0.0073616,-0.0183685,-0.0460659,-0.0757839,-0.107553},
{-1.86335,-1.83442,-1.80551,-1.7766,-1.74769,-1.7188,-1.68991,-1.66103,-1.63217,-1.60332,-1.57448,-1.54566,-1.51685,-1.48807,-1.45931,-1.43057,-1.40186,-1.37319,-1.34454,-1.31593,-1.28737,-1.25885,-1.23038,-1.20196,-1.17361,-1.14532,-1.1171,-1.08897,-1.06092,-1.03298,-1.00513,-0.977407,-0.949806,-0.922342,-0.895027,-0.867872,-0.840891,-0.814096,-0.787503,-0.761126,-0.734979,-0.709078,-0.683437,-0.658073,-0.633002,-0.608237,-0.583796,-0.559692,-0.535941,-0.512555,-0.48955,-0.466936,-0.444726,-0.42293,-0.401559,-0.38062,-0.360121,-0.340069,-0.320468,-0.301322,-0.282633,-0.264404,-0.246633,-0.229319,-0.212461,-0.196055,-0.180096,-0.164579,-0.149497,-0.134844,-0.120612,-0.106792,-0.0933741,-0.0803498,-0.0677088,-0.0554405,-0.0435346,-0.0319801,-0.0207663,-0.00988221,0.000682971,0.01094,0.0208994,0.0305716,0.0399667,0.0490944,0.0579641,0.0665851,0.0749657,0.0831144,0.0910388,0.0987463,0.106244,0.113537,0.120632,0.127535,0.13425,0.140782,0.147134,0.15331,0.159314,0.165147,0.170813,0.176313,0.18165,0.186824,0.191838,0.196691,0.201386,0.205923,0.210304,0.214528,0.218597,0.222513,0.226275,0.229885,0.233344,0.236655,0.239818,0.242835,0.245709,0.248442,0.251036,0.253495,0.25582,0.258016,0.260085,0.262032,0.263859,0.26557,0.26717,0.268662,0.270051,0.271339,0.272532,0.273632,0.274644,0.275572,0.276418,0.277187,0.277882,0.278506,0.27906,0.279549,0.279974,0.280337,0.28064,0.280884,0.281069,0.281197,0.281267,0.281278,0.281231,0.281123,0.280952,0.280716,0.280411,0.280033,0.279578,0.27904,0.278413,0.277688,0.276858,0.275913,0.274841,0.27363,0.272266,0.270734,0.269016,0.267093,0.264943,0.262542,0.259863,0.256877,0.253552,0.249852,0.245737,0.241166,0.236091,0.23046,0.224219,0.217307,0.20966,0.201208,0.191877,0.181586,0.170253,0.15779,0.144106,0.129107,0.112695,0.0947747,0.0752511,0.0540299,0.0310235,0.00615029,-0.0206589,-0.0494618,-0.0803027,-0.113201},
{-1.90531,-1.87635,-1.84739,-1.81843,-1.78948,-1.76054,-1.7316,-1.70266,-1.67374,-1.64482,-1.61592,-1.58702,-1.55814,-1.52928,-1.50043,-1.4716,-1.44279,-1.414,-1.38525,-1.35652,-1.32782,-1.29916,-1.27054,-1.24197,-1.21344,-1.18497,-1.15657,-1.12822,-1.09996,-1.07177,-1.04368,-1.01568,-0.987789,-0.960017,-0.932373,-0.904868,-0.877515,-0.850326,-0.823315,-0.796494,-0.769878,-0.743483,-0.717322,-0.691412,-0.665767,-0.640404,-0.615337,-0.590583,-0.566156,-0.542072,-0.518344,-0.494986,-0.472011,-0.449431,-0.427258,-0.405502,-0.384172,-0.363276,-0.34282,-0.322811,-0.303253,-0.284149,-0.265501,-0.24731,-0.229574,-0.212294,-0.195464,-0.179083,-0.163145,-0.147644,-0.132573,-0.117925,-0.103693,-0.0898668,-0.0764379,-0.0633964,-0.0507324,-0.0384357,-0.0264958,-0.0149021,-0.00364403,0.00728899,0.0179074,0.0282217,0.0382418,0.0479776,0.0574388,0.0666344,0.0755735,0.0842643,0.092715,0.100933,0.108925,0.116699,0.124259,0.131612,0.138764,0.145717,0.152478,0.159049,0.165435,0.171637,0.177659,0.183504,0.189172,0.194666,0.199987,0.205137,0.210117,0.214928,0.219572,0.224048,0.228359,0.232506,0.236489,0.24031,0.243971,0.247474,0.250819,0.25401,0.257049,0.259938,0.26268,0.265277,0.267734,0.270054,0.27224,0.274295,0.276224,0.278032,0.279721,0.281296,0.282761,0.284121,0.28538,0.286541,0.287609,0.288588,0.289482,0.290294,0.291027,0.291685,0.292271,0.292788,0.293237,0.293621,0.293942,0.2942,0.294397,0.294534,0.29461,0.294624,0.294577,0.294466,0.294289,0.294045,0.293728,0.293335,0.292862,0.292301,0.291647,0.290893,0.290027,0.289042,0.287925,0.286664,0.285243,0.283648,0.281859,0.279857,0.277619,0.275121,0.272335,0.269231,0.265776,0.261932,0.257659,0.252914,0.247649,0.24181,0.235342,0.228182,0.220266,0.21152,0.201872,0.191238,0.179536,0.166677,0.152568,0.137116,0.120224,0.101796,0.0817383,0.0599581,0.0363705,0.0108966,-0.0165285,-0.0459586,-0.0774325,-0.110964},
{-1.9456,-1.9166,-1.88761,-1.85861,-1.82962,-1.80063,-1.77165,-1.74266,-1.71368,-1.68471,-1.65575,-1.62679,-1.59784,-1.5689,-1.53997,-1.51106,-1.48216,-1.45328,-1.42442,-1.39558,-1.36677,-1.33799,-1.30924,-1.28052,-1.25185,-1.22322,-1.19464,-1.16611,-1.13765,-1.10926,-1.08094,-1.0527,-1.02455,-0.996507,-0.968572,-0.940756,-0.913072,-0.885531,-0.858145,-0.830927,-0.803891,-0.77705,-0.75042,-0.724015,-0.69785,-0.671941,-0.646304,-0.620953,-0.595905,-0.571175,-0.546777,-0.522727,-0.499039,-0.475725,-0.452798,-0.43027,-0.408152,-0.386453,-0.365183,-0.344347,-0.323954,-0.304007,-0.284511,-0.265467,-0.246878,-0.228744,-0.211062,-0.193832,-0.17705,-0.160711,-0.144811,-0.129342,-0.114299,-0.0996736,-0.0854574,-0.0716418,-0.0582174,-0.0451747,-0.0325038,-0.0201946,-0.00823673,0.00337999,0.0146659,0.0256311,0.0362858,0.0466397,0.0567025,0.0664834,0.0759914,0.0852352,0.0942228,0.102962,0.11146,0.119724,0.12776,0.135574,0.143172,0.150558,0.157737,0.164712,0.171489,0.178069,0.184456,0.190652,0.19666,0.202481,0.208117,0.213571,0.218842,0.223934,0.228846,0.23358,0.238138,0.242521,0.246731,0.250768,0.254635,0.258333,0.261865,0.265233,0.268439,0.271487,0.274379,0.277119,0.27971,0.282155,0.284459,0.286625,0.288658,0.290562,0.292341,0.293999,0.295542,0.296974,0.298299,0.299521,0.300645,0.301674,0.302614,0.303467,0.304237,0.304928,0.305543,0.306084,0.306555,0.306956,0.30729,0.307559,0.307762,0.307902,0.307977,0.307987,0.307932,0.307809,0.307616,0.307351,0.307009,0.306587,0.306079,0.305478,0.304779,0.303971,0.303047,0.301995,0.300803,0.299458,0.297944,0.296244,0.294339,0.292208,0.289827,0.287171,0.28421,0.280913,0.277244,0.273165,0.268635,0.263606,0.258029,0.251849,0.245008,0.237442,0.229081,0.219854,0.209683,0.198485,0.186174,0.172659,0.15785,0.141649,0.123962,0.104692,0.0837493,0.061043,0.0364923,0.0100238,-0.0184211,-0.0488893,-0.0814063,-0.11598},
{-1.98434,-1.95532,-1.92629,-1.89726,-1.86823,-1.83921,-1.81018,-1.78115,-1.75212,-1.7231,-1.69408,-1.66507,-1.63605,-1.60705,-1.57805,-1.54907,-1.52009,-1.49112,-1.46217,-1.43324,-1.40432,-1.37543,-1.34656,-1.31772,-1.28891,-1.26014,-1.23141,-1.20272,-1.17408,-1.1455,-1.11698,-1.08853,-1.06015,-1.03186,-1.00367,-0.975576,-0.947595,-0.919739,-0.892017,-0.864442,-0.837028,-0.809786,-0.782731,-0.755878,-0.72924,-0.702834,-0.676675,-0.650777,-0.625158,-0.599832,-0.574815,-0.550122,-0.525768,-0.501766,-0.478132,-0.454877,-0.432014,-0.409554,-0.387507,-0.365883,-0.344688,-0.323931,-0.303616,-0.283748,-0.26433,-0.245364,-0.22685,-0.208788,-0.191177,-0.174013,-0.157293,-0.141012,-0.125165,-0.109744,-0.0947429,-0.0801539,-0.0659685,-0.0521778,-0.0387725,-0.0257432,-0.0130801,-0.000773218,0.0111873,0.0228115,0.0341093,0.0450903,0.0557641,0.06614,0.076227,0.0860338,0.0955687,0.10484,0.113854,0.122619,0.131141,0.139426,0.147479,0.155307,0.162914,0.170303,0.17748,0.184446,0.191207,0.197763,0.204119,0.210275,0.216234,0.221998,0.227568,0.232946,0.238134,0.243132,0.247943,0.252568,0.257009,0.261267,0.265344,0.269243,0.272966,0.276515,0.279893,0.283104,0.28615,0.289035,0.291763,0.294337,0.296762,0.299042,0.301181,0.303184,0.305056,0.306801,0.308425,0.309931,0.311324,0.312609,0.313792,0.314875,0.315863,0.31676,0.317571,0.318298,0.318945,0.319515,0.32001,0.320433,0.320785,0.321069,0.321285,0.321433,0.321514,0.321527,0.321472,0.321346,0.321147,0.320872,0.320518,0.320079,0.319551,0.318928,0.3182,0.317361,0.3164,0.315306,0.314068,0.312669,0.311096,0.30933,0.307352,0.30514,0.302669,0.299913,0.296841,0.293422,0.28962,0.285394,0.280702,0.275496,0.269726,0.263335,0.256264,0.248448,0.239816,0.230296,0.219808,0.208268,0.195591,0.181685,0.166458,0.149814,0.131659,0.111897,0.0904386,0.0671961,0.0420911,0.0150532,-0.0139717,-0.0450263,-0.0781308,-0.113287},
{-2.02166,-1.99261,-1.96355,-1.93449,-1.90543,-1.87637,-1.8473,-1.81823,-1.78917,-1.7601,-1.73103,-1.70196,-1.67289,-1.64383,-1.61477,-1.58572,-1.55667,-1.52763,-1.4986,-1.46957,-1.44057,-1.41158,-1.3826,-1.35365,-1.32472,-1.29582,-1.26695,-1.23811,-1.20932,-1.18057,-1.15187,-1.12323,-1.09465,-1.06614,-1.03771,-1.00937,-0.981123,-0.952983,-0.924959,-0.897063,-0.869307,-0.841702,-0.814263,-0.787003,-0.759935,-0.733076,-0.706439,-0.68004,-0.653895,-0.628019,-0.602429,-0.577139,-0.552164,-0.527521,-0.503223,-0.479284,-0.455718,-0.432537,-0.409753,-0.387376,-0.365415,-0.34388,-0.322777,-0.302112,-0.281891,-0.262117,-0.242792,-0.223918,-0.205494,-0.18752,-0.169992,-0.152909,-0.136264,-0.120055,-0.104273,-0.0889137,-0.0739682,-0.059429,-0.0452877,-0.0315353,-0.0181628,-0.00516071,0.00748046,0.0197703,0.0317185,0.0433345,0.0546278,0.0656075,0.0762827,0.0866619,0.0967537,0.106566,0.116106,0.125381,0.134399,0.143164,0.151684,0.159963,0.168006,0.175819,0.183404,0.190766,0.197908,0.204832,0.211543,0.218042,0.224331,0.230412,0.236287,0.241958,0.247427,0.252696,0.257765,0.262637,0.267314,0.271797,0.276089,0.280193,0.28411,0.287844,0.291397,0.294773,0.297976,0.301009,0.303876,0.306581,0.309129,0.311524,0.313771,0.315875,0.31784,0.319672,0.321376,0.322956,0.324418,0.325766,0.327006,0.328141,0.329177,0.330117,0.330965,0.331726,0.332402,0.332997,0.333513,0.333953,0.334319,0.334612,0.334833,0.334984,0.335063,0.33507,0.335004,0.334864,0.334647,0.334349,0.333966,0.333495,0.332928,0.33226,0.331482,0.330585,0.329558,0.328391,0.32707,0.32558,0.323905,0.322025,0.31992,0.317567,0.314941,0.312013,0.308752,0.305124,0.301091,0.296612,0.291642,0.286132,0.280028,0.273272,0.265803,0.257554,0.248451,0.238421,0.22738,0.215246,0.20193,0.187339,0.171381,0.15396,0.134982,0.114355,0.0919899,0.0678038,0.0417219,0.0136828,-0.0163627,-0.0484482,-0.0825835,-0.11876},
{-2.05765,-2.02857,-1.99949,-1.9704,-1.94131,-1.91221,-1.88311,-1.85401,-1.8249,-1.79579,-1.76668,-1.73757,-1.70845,-1.67934,-1.65022,-1.6211,-1.59199,-1.56288,-1.53378,-1.50468,-1.47559,-1.44651,-1.41744,-1.38838,-1.35934,-1.33033,-1.30133,-1.27237,-1.24343,-1.21453,-1.18567,-1.15686,-1.12809,-1.09939,-1.07075,-1.04218,-1.01369,-0.985299,-0.957002,-0.928816,-0.90075,-0.872817,-0.845028,-0.817397,-0.789938,-0.762664,-0.73559,-0.708731,-0.682102,-0.655719,-0.629598,-0.603753,-0.578202,-0.552959,-0.528039,-0.503458,-0.479229,-0.455366,-0.431882,-0.408788,-0.386096,-0.363815,-0.341955,-0.320523,-0.299525,-0.278968,-0.258854,-0.239187,-0.219968,-0.201199,-0.182878,-0.165003,-0.147572,-0.130581,-0.114025,-0.0978986,-0.0821956,-0.0669089,-0.052031,-0.0375539,-0.0234692,-0.00976793,0.00355875,0.01652,0.0291251,0.0413833,0.0533037,0.0648954,0.0761673,0.0871279,0.0977856,0.108148,0.118224,0.128019,0.137542,0.146797,0.155792,0.164531,0.173021,0.181265,0.189268,0.197034,0.204566,0.211867,0.218941,0.22579,0.232416,0.238822,0.245009,0.25098,0.256737,0.262281,0.267615,0.27274,0.277658,0.282372,0.286884,0.291197,0.295314,0.299237,0.30297,0.306516,0.309879,0.313064,0.316074,0.318914,0.321588,0.324102,0.32646,0.328668,0.33073,0.332652,0.33444,0.336098,0.337632,0.339047,0.340348,0.34154,0.342627,0.343614,0.344505,0.345305,0.346016,0.346642,0.347186,0.347651,0.348038,0.348349,0.348586,0.348748,0.348837,0.348851,0.348789,0.34865,0.348431,0.348129,0.34774,0.347259,0.34668,0.345996,0.345199,0.34428,0.343228,0.342031,0.340677,0.339149,0.337431,0.335503,0.333346,0.330934,0.328243,0.325244,0.321904,0.31819,0.314062,0.309479,0.304396,0.298762,0.292524,0.285623,0.277996,0.269575,0.260289,0.250061,0.238809,0.226448,0.21289,0.198044,0.181815,0.16411,0.144834,0.123896,0.101209,0.0766909,0.0502692,0.0218845,-0.00850968,-0.0409443,-0.0754262,-0.111943},
{-2.0924,-2.0633,-2.03419,-2.00508,-1.97596,-1.94684,-1.91771,-1.88857,-1.85943,-1.83028,-1.80113,-1.77197,-1.74281,-1.71365,-1.68448,-1.65531,-1.62614,-1.59697,-1.56779,-1.53862,-1.50946,-1.4803,-1.45114,-1.42199,-1.39286,-1.36374,-1.33463,-1.30554,-1.27648,-1.24744,-1.21844,-1.18947,-1.16054,-1.13165,-1.10282,-1.07405,-1.04535,-1.01672,-0.988178,-0.959728,-0.931381,-0.903149,-0.875043,-0.847074,-0.819257,-0.791604,-0.764129,-0.736847,-0.709773,-0.682921,-0.656308,-0.62995,-0.603861,-0.578058,-0.552557,-0.527372,-0.502519,-0.478011,-0.453864,-0.430089,-0.406699,-0.383706,-0.361119,-0.338948,-0.317201,-0.295885,-0.275005,-0.254567,-0.234573,-0.215026,-0.195926,-0.177273,-0.159066,-0.141303,-0.12398,-0.107092,-0.0906359,-0.0746042,-0.0589909,-0.0437888,-0.0289903,-0.0145874,-0.000571624,0.0130655,0.0263329,0.0392392,0.0517934,0.0640042,0.0758803,0.0874301,0.098662,0.109584,0.120203,0.130528,0.140564,0.150318,0.159797,0.169005,0.177949,0.186634,0.195062,0.20324,0.21117,0.218855,0.2263,0.233506,0.240476,0.247213,0.253719,0.259996,0.266046,0.271872,0.277475,0.282857,0.288022,0.292971,0.297707,0.302233,0.306552,0.310667,0.314582,0.3183,0.321826,0.325164,0.328319,0.331294,0.334096,0.336729,0.339198,0.341509,0.343668,0.34568,0.34755,0.349284,0.350888,0.352366,0.353725,0.354969,0.356103,0.357132,0.35806,0.358891,0.359629,0.360278,0.36084,0.361318,0.361714,0.36203,0.362266,0.362424,0.362503,0.362503,0.362422,0.362258,0.362009,0.361671,0.361239,0.360709,0.360073,0.359325,0.358455,0.357453,0.356309,0.355009,0.353539,0.351883,0.350022,0.347936,0.345603,0.342997,0.340091,0.336854,0.333253,0.32925,0.324805,0.319874,0.314409,0.308357,0.301661,0.294261,0.286089,0.277078,0.26715,0.256227,0.244226,0.231059,0.216636,0.200865,0.183653,0.164905,0.144529,0.122437,0.098545,0.0727784,0.0450709,0.0153729,-0.0163518,-0.0501226,-0.085932,-0.123753},
{-2.12599,-2.09687,-2.06774,-2.03861,-2.00946,-1.98031,-1.95116,-1.92199,-1.89282,-1.86364,-1.83445,-1.80525,-1.77605,-1.74684,-1.71763,-1.68841,-1.65918,-1.62995,-1.60072,-1.57149,-1.54225,-1.51302,-1.48378,-1.45455,-1.42533,-1.39611,-1.3669,-1.33771,-1.30852,-1.27936,-1.25022,-1.22111,-1.19203,-1.16299,-1.13398,-1.10503,-1.07613,-1.04729,-1.01852,-0.98983,-0.961227,-0.932722,-0.904325,-0.876049,-0.847903,-0.819903,-0.79206,-0.764388,-0.736903,-0.709619,-0.682551,-0.655714,-0.629125,-0.6028,-0.576754,-0.551002,-0.525561,-0.500446,-0.47567,-0.451249,-0.427194,-0.40352,-0.380237,-0.357356,-0.334887,-0.312838,-0.291217,-0.270029,-0.249279,-0.228971,-0.209109,-0.189692,-0.170721,-0.152196,-0.134114,-0.116473,-0.0992681,-0.0824951,-0.0661486,-0.0502223,-0.0347097,-0.0196034,-0.00489587,0.00942082,0.0233549,0.0369147,0.0501086,0.0629451,0.0754325,0.0875792,0.0993931,0.110882,0.122054,0.132916,0.143474,0.153736,0.163707,0.173394,0.182801,0.191934,0.200798,0.209395,0.217731,0.225809,0.233632,0.241203,0.248525,0.2556,0.262431,0.269021,0.275371,0.281484,0.287362,0.293008,0.298425,0.303614,0.308579,0.313323,0.317849,0.322161,0.326262,0.330157,0.33385,0.337345,0.340648,0.343762,0.346695,0.34945,0.352034,0.354453,0.356711,0.358815,0.360771,0.362585,0.364262,0.365808,0.367228,0.368528,0.369713,0.370788,0.371757,0.372625,0.373396,0.374072,0.374658,0.375156,0.375568,0.375896,0.376141,0.376303,0.376384,0.37638,0.376293,0.376119,0.375855,0.375498,0.375043,0.374484,0.373815,0.373029,0.372114,0.371063,0.369862,0.368498,0.366957,0.36522,0.36327,0.361086,0.358643,0.355916,0.352876,0.349491,0.345728,0.341547,0.336906,0.331761,0.326061,0.319753,0.312778,0.305074,0.296574,0.287205,0.276893,0.265555,0.253107,0.239463,0.22453,0.208218,0.190431,0.171078,0.150067,0.127313,0.102734,0.0762595,0.0478274,0.0173938,-0.0150729,-0.0495812,-0.0861204,-0.124655},
{-2.1585,-2.12936,-2.10021,-2.07106,-2.04189,-2.01272,-1.98353,-1.95434,-1.92514,-1.89593,-1.86671,-1.83748,-1.80824,-1.77899,-1.74973,-1.72047,-1.69119,-1.66191,-1.63262,-1.60333,-1.57403,-1.54473,-1.51542,-1.48612,-1.45681,-1.4275,-1.3982,-1.36891,-1.33962,-1.31035,-1.28109,-1.25184,-1.22262,-1.19343,-1.16427,-1.13515,-1.10607,-1.07704,-1.04806,-1.01915,-0.990314,-0.96156,-0.932897,-0.904338,-0.875892,-0.847572,-0.81939,-0.79136,-0.763495,-0.73581,-0.70832,-0.68104,-0.653985,-0.627172,-0.600615,-0.574332,-0.548338,-0.522649,-0.497279,-0.472244,-0.447557,-0.423233,-0.399284,-0.375722,-0.352558,-0.329802,-0.307462,-0.285547,-0.264062,-0.243013,-0.222405,-0.202239,-0.182518,-0.163242,-0.144412,-0.126024,-0.108078,-0.0905682,-0.0734918,-0.0568435,-0.0406174,-0.0248074,-0.00940661,0.00559215,0.0201964,0.0344139,0.0482526,0.0617204,0.0748255,0.0875756,0.0999788,0.112042,0.123774,0.135181,0.14627,0.157048,0.16752,0.177693,0.187572,0.197162,0.206467,0.215493,0.224243,0.23272,0.240929,0.248872,0.256552,0.263973,0.271136,0.278044,0.2847,0.291106,0.297265,0.30318,0.308853,0.314287,0.319485,0.324451,0.329188,0.3337,0.337991,0.342065,0.345927,0.349582,0.353035,0.356292,0.359356,0.362236,0.364936,0.367462,0.369821,0.372018,0.37406,0.375952,0.377702,0.379314,0.380794,0.382149,0.383383,0.384501,0.385509,0.386411,0.38721,0.38791,0.388515,0.389027,0.389449,0.389783,0.390028,0.390187,0.390258,0.390241,0.390135,0.389937,0.389643,0.38925,0.388754,0.388146,0.387422,0.386571,0.385585,0.384452,0.38316,0.381695,0.38004,0.378177,0.376087,0.373747,0.371133,0.368216,0.364966,0.361351,0.357333,0.352873,0.347926,0.342446,0.336379,0.329669,0.322257,0.314078,0.305061,0.295132,0.284214,0.272224,0.259076,0.244681,0.228947,0.211782,0.193092,0.172788,0.15078,0.126985,0.101328,0.0737429,0.0441783,0.0125963,-0.0210239,-0.056679,-0.0943459,-0.133978},
{-2.18999,-2.16084,-2.13167,-2.1025,-2.07331,-2.04412,-2.01491,-1.98569,-1.95646,-1.92722,-1.89797,-1.86871,-1.83944,-1.81015,-1.78085,-1.75155,-1.72223,-1.6929,-1.66356,-1.63422,-1.60486,-1.57549,-1.54612,-1.51675,-1.48736,-1.45798,-1.42859,-1.3992,-1.36982,-1.34044,-1.31107,-1.28171,-1.25236,-1.22303,-1.19373,-1.16445,-1.1352,-1.106,-1.07683,-1.04772,-1.01867,-0.989687,-0.960781,-0.931961,-0.903238,-0.874624,-0.84613,-0.817768,-0.789552,-0.761496,-0.733614,-0.705921,-0.678432,-0.651163,-0.62413,-0.597347,-0.570833,-0.544602,-0.51867,-0.493053,-0.467765,-0.442822,-0.418236,-0.394021,-0.370189,-0.346751,-0.323717,-0.301097,-0.278898,-0.257127,-0.23579,-0.214891,-0.194434,-0.174421,-0.154852,-0.135727,-0.117046,-0.0988063,-0.0810046,-0.0636372,-0.0466995,-0.0301863,-0.0140915,0.00159101,0.0168681,0.0317469,0.0462347,0.0603389,0.0740672,0.087427,0.100426,0.113071,0.125371,0.137331,0.148958,0.160259,0.171241,0.181908,0.192266,0.202321,0.212077,0.221539,0.23071,0.239595,0.248197,0.25652,0.264566,0.272338,0.279839,0.287073,0.294041,0.300747,0.307192,0.313381,0.319316,0.325,0.330436,0.335629,0.340581,0.345298,0.349782,0.35404,0.358075,0.361894,0.3655,0.368901,0.372102,0.375108,0.377926,0.380563,0.383025,0.385317,0.387447,0.389422,0.391246,0.392927,0.39447,0.395881,0.397167,0.398331,0.39938,0.400317,0.401147,0.401874,0.402501,0.403031,0.403466,0.403808,0.404059,0.404217,0.404284,0.404259,0.404139,0.403923,0.403606,0.403185,0.402655,0.402008,0.401237,0.400334,0.399289,0.398088,0.396721,0.39517,0.393421,0.391453,0.389246,0.386776,0.384018,0.380943,0.377519,0.373712,0.369484,0.364792,0.359593,0.353835,0.347466,0.340427,0.332657,0.324088,0.31465,0.304266,0.292858,0.28034,0.266627,0.251628,0.235252,0.217408,0.198001,0.176943,0.154148,0.129537,0.103038,0.07459,0.0441482,0.0116819,-0.022822,-0.0593511,-0.0978732,-0.138333},
{-2.22053,-2.19136,-2.16218,-2.13299,-2.10378,-2.07457,-2.04534,-2.0161,-1.98685,-1.95758,-1.9283,-1.89901,-1.8697,-1.84039,-1.81105,-1.78171,-1.75235,-1.72298,-1.69359,-1.6642,-1.63479,-1.60536,-1.57593,-1.54649,-1.51704,-1.48758,-1.45811,-1.42864,-1.39917,-1.36969,-1.34022,-1.31075,-1.28129,-1.25183,-1.22239,-1.19297,-1.16358,-1.13421,-1.10487,-1.07557,-1.04632,-1.01713,-0.987998,-0.958939,-0.929961,-0.901075,-0.872291,-0.843623,-0.815082,-0.786682,-0.758436,-0.730358,-0.702464,-0.674769,-0.647288,-0.620037,-0.593033,-0.566291,-0.539828,-0.513659,-0.4878,-0.462267,-0.437072,-0.412232,-0.387758,-0.363664,-0.33996,-0.316657,-0.293765,-0.271292,-0.249245,-0.22763,-0.206451,-0.185713,-0.165417,-0.145566,-0.126159,-0.107195,-0.0886735,-0.0705911,-0.0529444,-0.0357294,-0.018941,-0.00257393,0.0133778,0.0289206,0.044061,0.0588059,0.0731623,0.0871374,0.100738,0.113972,0.126845,0.139365,0.151539,0.163371,0.174869,0.186038,0.196884,0.207412,0.217627,0.227532,0.237133,0.246433,0.255435,0.264144,0.272563,0.280694,0.288541,0.296106,0.303392,0.310403,0.317141,0.32361,0.329812,0.335751,0.34143,0.346854,0.352026,0.356951,0.361634,0.366079,0.370291,0.374276,0.37804,0.381588,0.384927,0.388063,0.391002,0.393752,0.396319,0.398709,0.400929,0.402987,0.404888,0.406639,0.408247,0.409716,0.411055,0.412267,0.413358,0.414332,0.415195,0.41595,0.4166,0.417149,0.417599,0.417951,0.418207,0.418368,0.418433,0.4184,0.418269,0.418037,0.4177,0.417254,0.416692,0.416009,0.415196,0.414245,0.413144,0.411881,0.410443,0.408814,0.406977,0.404911,0.402596,0.400006,0.397116,0.393894,0.39031,0.386326,0.381903,0.376999,0.371567,0.365555,0.35891,0.35157,0.343473,0.33455,0.324729,0.313933,0.302081,0.289087,0.274866,0.259326,0.242375,0.223923,0.203878,0.182152,0.158662,0.133331,0.106092,0.0768887,0.0456821,0.0124478,-0.0228205,-0.0601025,-0.0993582,-0.140525},
{-2.25017,-2.22099,-2.19179,-2.16258,-2.13336,-2.10413,-2.07488,-2.04562,-2.01634,-1.98705,-1.95775,-1.92843,-1.8991,-1.86975,-1.84038,-1.811,-1.7816,-1.75219,-1.72276,-1.69332,-1.66386,-1.63439,-1.6049,-1.5754,-1.54588,-1.51636,-1.48682,-1.45727,-1.42771,-1.39815,-1.36858,-1.33901,-1.30944,-1.27987,-1.25031,-1.22076,-1.19122,-1.1617,-1.1322,-1.10273,-1.0733,-1.04391,-1.01457,-0.985292,-0.956078,-0.92694,-0.897889,-0.868937,-0.840094,-0.811373,-0.782788,-0.754352,-0.72608,-0.697986,-0.670086,-0.642395,-0.61493,-0.587706,-0.560741,-0.534049,-0.507647,-0.481551,-0.455776,-0.430337,-0.405247,-0.380521,-0.356172,-0.332209,-0.308646,-0.28549,-0.262751,-0.240436,-0.218551,-0.197102,-0.176092,-0.155524,-0.135401,-0.115721,-0.0964863,-0.0776939,-0.059342,-0.0414275,-0.0239468,-0.00689522,0.00973211,0.0259407,0.0417365,0.0571255,0.0721144,0.0867096,0.100918,0.114745,0.128199,0.141286,0.154012,0.166383,0.178405,0.190084,0.201425,0.212433,0.223113,0.23347,0.243507,0.253229,0.26264,0.271742,0.28054,0.289037,0.297235,0.305138,0.312749,0.320071,0.327107,0.33386,0.340334,0.346533,0.35246,0.358119,0.363515,0.368653,0.373536,0.378171,0.382563,0.386718,0.390641,0.394339,0.397818,0.401085,0.404148,0.407012,0.409684,0.412173,0.414484,0.416625,0.418603,0.420424,0.422095,0.423622,0.425012,0.42627,0.427401,0.428411,0.429303,0.430083,0.430753,0.431316,0.431776,0.432133,0.43239,0.432545,0.4326,0.432552,0.432401,0.432142,0.431773,0.431288,0.430681,0.429946,0.429073,0.428054,0.426876,0.425527,0.423993,0.422256,0.420299,0.4181,0.415638,0.412885,0.409815,0.406396,0.402593,0.39837,0.393685,0.388494,0.382747,0.376392,0.369372,0.361626,0.353087,0.343686,0.333348,0.321994,0.309543,0.295907,0.280999,0.264728,0.247003,0.227733,0.206828,0.184203,0.159778,0.133482,0.105252,0.0750395,0.0428132,0.00855657,-0.0277232,-0.065999,-0.106219,-0.14831},
{-2.27896,-2.24977,-2.22056,-2.19133,-2.1621,-2.13284,-2.10358,-2.0743,-2.045,-2.01569,-1.98637,-1.95702,-1.92766,-1.89828,-1.86889,-1.83947,-1.81004,-1.78059,-1.75113,-1.72164,-1.69214,-1.66261,-1.63307,-1.60352,-1.57394,-1.54435,-1.51475,-1.48513,-1.45549,-1.42585,-1.39619,-1.36653,-1.33685,-1.30718,-1.2775,-1.24783,-1.21816,-1.1885,-1.15886,-1.12923,-1.09963,-1.07006,-1.04053,-1.01104,-0.981608,-0.952237,-0.922938,-0.893721,-0.864597,-0.835579,-0.806677,-0.777907,-0.74928,-0.720813,-0.692519,-0.664415,-0.636516,-0.608837,-0.581396,-0.554209,-0.527291,-0.50066,-0.47433,-0.448318,-0.422639,-0.397305,-0.372333,-0.347733,-0.323519,-0.299701,-0.276288,-0.253291,-0.230716,-0.20857,-0.186859,-0.165587,-0.144756,-0.124369,-0.104428,-0.0849311,-0.0658783,-0.0472676,-0.0290963,-0.0113611,0.0059421,0.0228178,0.0392711,0.0553074,0.0709324,0.086152,0.100972,0.1154,0.12944,0.1431,0.156385,0.169302,0.181855,0.194051,0.205894,0.21739,0.228544,0.239359,0.249841,0.259992,0.269818,0.279321,0.288506,0.297375,0.305931,0.314179,0.322121,0.32976,0.3371,0.344144,0.350896,0.35736,0.36354,0.36944,0.375065,0.38042,0.385509,0.390339,0.394915,0.399243,0.403329,0.407181,0.410805,0.414207,0.417396,0.420377,0.42316,0.42575,0.428156,0.430384,0.432443,0.434338,0.436077,0.437666,0.439112,0.44042,0.441596,0.442646,0.443574,0.444385,0.445081,0.445667,0.446144,0.446515,0.446781,0.446942,0.446999,0.446949,0.44679,0.446521,0.446136,0.445632,0.445001,0.444237,0.44333,0.442271,0.441048,0.439647,0.438055,0.436253,0.434223,0.431944,0.429391,0.42654,0.423361,0.419821,0.415887,0.411519,0.406676,0.401312,0.395377,0.388818,0.381576,0.373589,0.36479,0.355109,0.34447,0.332793,0.319995,0.305991,0.290691,0.274006,0.255844,0.236115,0.214731,0.191608,0.166669,0.139844,0.111076,0.0803181,0.047544,0.0127418,-0.0240762,-0.0628779,-0.103606,-0.146184},
{-2.30695,-2.27775,-2.24852,-2.21929,-2.19003,-2.16077,-2.13149,-2.10219,-2.07287,-2.04354,-2.01419,-1.98483,-1.95544,-1.92604,-1.89661,-1.86717,-1.83771,-1.80822,-1.77872,-1.74919,-1.71965,-1.69008,-1.66049,-1.63088,-1.60126,-1.57161,-1.54194,-1.51225,-1.48255,-1.45282,-1.42309,-1.39333,-1.36357,-1.3338,-1.30401,-1.27423,-1.24444,-1.21465,-1.18487,-1.15509,-1.12534,-1.0956,-1.06589,-1.03621,-1.00657,-0.976984,-0.947453,-0.91799,-0.888604,-0.859307,-0.830111,-0.801027,-0.77207,-0.743252,-0.714589,-0.686096,-0.657787,-0.629679,-0.601789,-0.574131,-0.546724,-0.519583,-0.492724,-0.466164,-0.439918,-0.414002,-0.38843,-0.363215,-0.338371,-0.31391,-0.289843,-0.266181,-0.242932,-0.220105,-0.197706,-0.17574,-0.154214,-0.133129,-0.112489,-0.0922945,-0.072546,-0.053243,-0.0343841,-0.0159668,0.00201157,0.0195548,0.0366669,0.0533525,0.0696165,0.0854643,0.100901,0.115933,0.130566,0.144804,0.158655,0.172123,0.185214,0.197933,0.210286,0.222277,0.233911,0.245192,0.256125,0.266713,0.276961,0.286872,0.296449,0.305697,0.314618,0.323216,0.331494,0.339456,0.347106,0.354446,0.361481,0.368215,0.374652,0.380796,0.386654,0.392229,0.397527,0.402555,0.407317,0.411821,0.416074,0.420081,0.42385,0.427389,0.430705,0.433805,0.436698,0.43939,0.44189,0.444205,0.446342,0.44831,0.450115,0.451763,0.453262,0.454618,0.455836,0.456922,0.45788,0.458716,0.459432,0.460033,0.46052,0.460895,0.46116,0.461316,0.461361,0.461294,0.461114,0.460816,0.460397,0.459852,0.459173,0.458354,0.457384,0.456253,0.454949,0.453459,0.451765,0.44985,0.447695,0.445277,0.442572,0.439551,0.436185,0.432441,0.428282,0.423667,0.418554,0.412895,0.406638,0.399727,0.392104,0.383703,0.374456,0.364291,0.353129,0.340891,0.327493,0.312847,0.296864,0.279453,0.260526,0.239993,0.217767,0.193768,0.167923,0.140167,0.110448,0.0787285,0.0449889,0.00922605,-0.0285377,-0.0682599,-0.109876,-0.153295},
{-2.33419,-2.30497,-2.27573,-2.24649,-2.21722,-2.18794,-2.15864,-2.12933,-2.1,-2.07065,-2.04128,-2.01189,-1.98248,-1.95305,-1.9236,-1.89413,-1.86464,-1.83512,-1.80558,-1.77602,-1.74644,-1.71683,-1.6872,-1.65754,-1.62786,-1.59816,-1.56843,-1.53868,-1.50891,-1.47912,-1.4493,-1.41947,-1.38962,-1.35975,-1.32987,-1.29998,-1.27008,-1.24017,-1.21026,-1.18035,-1.15044,-1.12055,-1.09067,-1.06081,-1.03099,-1.0012,-0.971451,-0.941758,-0.912127,-0.88257,-0.853097,-0.82372,-0.794452,-0.765306,-0.736295,-0.707435,-0.678741,-0.650227,-0.621911,-0.593808,-0.565935,-0.538309,-0.510945,-0.483861,-0.457073,-0.430596,-0.404446,-0.378638,-0.353185,-0.328102,-0.303399,-0.27909,-0.255183,-0.231689,-0.208616,-0.18597,-0.163759,-0.141986,-0.120655,-0.0997701,-0.0793318,-0.0593411,-0.0397978,-0.0207009,-0.00204835,0.0161622,0.033934,0.0512706,0.0681763,0.0846554,0.100713,0.116354,0.131583,0.146406,0.160828,0.174854,0.188489,0.201739,0.214608,0.227101,0.239222,0.250976,0.262367,0.2734,0.284076,0.294402,0.30438,0.314013,0.323305,0.33226,0.340882,0.349173,0.357137,0.364779,0.372102,0.379111,0.385811,0.392205,0.3983,0.404101,0.409613,0.414842,0.419796,0.42448,0.428901,0.433068,0.436987,0.440665,0.444112,0.447334,0.45034,0.453137,0.455735,0.458139,0.46036,0.462403,0.464277,0.465988,0.467544,0.468951,0.470214,0.47134,0.472333,0.473198,0.47394,0.47456,0.475063,0.475449,0.475721,0.475878,0.47592,0.475846,0.475653,0.475339,0.474898,0.474325,0.473613,0.472755,0.47174,0.470558,0.469196,0.467639,0.465872,0.463875,0.461628,0.459109,0.456291,0.453147,0.449645,0.445751,0.441427,0.436633,0.431324,0.425451,0.418961,0.411799,0.403902,0.395205,0.385638,0.375129,0.363598,0.350965,0.337145,0.32205,0.305592,0.287679,0.268224,0.247138,0.224336,0.199742,0.173284,0.144901,0.114545,0.082184,0.0478035,0.011406,-0.02698,-0.0673059,-0.109501,-0.15347},
{-2.36071,-2.33148,-2.30223,-2.27297,-2.24369,-2.2144,-2.18509,-2.15576,-2.12641,-2.09704,-2.06765,-2.03825,-2.00882,-1.97937,-1.94989,-1.92039,-1.89087,-1.86133,-1.83176,-1.80216,-1.77254,-1.74289,-1.71322,-1.68352,-1.65379,-1.62404,-1.59426,-1.56445,-1.53462,-1.50476,-1.47487,-1.44496,-1.41503,-1.38508,-1.35511,-1.32511,-1.29511,-1.26509,-1.23506,-1.20502,-1.17498,-1.14494,-1.1149,-1.08488,-1.05487,-1.02489,-0.994947,-0.965038,-0.935179,-0.905378,-0.875646,-0.845994,-0.816434,-0.786978,-0.757641,-0.728435,-0.699376,-0.670479,-0.64176,-0.613234,-0.584919,-0.55683,-0.528985,-0.5014,-0.474092,-0.447077,-0.420372,-0.393991,-0.36795,-0.342263,-0.316943,-0.292004,-0.267456,-0.243311,-0.219577,-0.196265,-0.173379,-0.150929,-0.128917,-0.107349,-0.0862273,-0.0655542,-0.0453306,-0.0255568,-0.00623212,0.012645,0.0310765,0.0490652,0.0666143,0.0837274,0.100409,0.116662,0.132493,0.147905,0.162904,0.177494,0.19168,0.205466,0.218858,0.231859,0.244475,0.256709,0.268565,0.280048,0.291161,0.301907,0.312292,0.322317,0.331987,0.341305,0.350276,0.358902,0.367187,0.375136,0.382753,0.390042,0.397009,0.403658,0.409994,0.416024,0.421754,0.427189,0.432337,0.437204,0.441798,0.446127,0.450197,0.454018,0.457598,0.460944,0.464065,0.466969,0.469665,0.472161,0.474465,0.476584,0.478528,0.480303,0.481915,0.483373,0.484681,0.485847,0.486874,0.487769,0.488534,0.489173,0.48969,0.490085,0.490361,0.490518,0.490554,0.490469,0.490261,0.489925,0.489457,0.488852,0.488102,0.487199,0.486133,0.484893,0.483464,0.481833,0.479982,0.477892,0.475542,0.472908,0.469964,0.46668,0.463025,0.458963,0.454455,0.44946,0.443931,0.437819,0.43107,0.423624,0.415421,0.406394,0.396471,0.385578,0.373636,0.360563,0.346274,0.33068,0.313693,0.295223,0.275183,0.253485,0.230048,0.204796,0.177662,0.148589,0.117534,0.0844705,0.0493893,0.0122999,-0.0267626,-0.0677428,-0.110564,-0.155124},
{-2.38654,-2.3573,-2.32805,-2.29877,-2.26949,-2.24018,-2.21086,-2.18151,-2.15215,-2.12277,-2.09336,-2.06393,-2.03449,-2.00501,-1.97552,-1.94599,-1.91645,-1.88687,-1.85727,-1.82765,-1.79799,-1.76831,-1.7386,-1.70885,-1.67908,-1.64928,-1.61945,-1.58959,-1.5597,-1.52977,-1.49982,-1.46985,-1.43984,-1.4098,-1.37974,-1.34966,-1.31956,-1.28943,-1.25929,-1.22913,-1.19896,-1.16878,-1.1386,-1.10842,-1.07825,-1.04809,-1.01796,-0.987847,-0.957772,-0.927743,-0.897767,-0.867857,-0.838022,-0.808276,-0.77863,-0.749098,-0.719695,-0.690435,-0.661333,-0.632406,-0.60367,-0.575141,-0.546836,-0.518772,-0.490966,-0.463434,-0.436194,-0.409262,-0.382652,-0.356381,-0.330463,-0.304911,-0.279739,-0.254957,-0.230578,-0.206611,-0.183064,-0.159946,-0.137263,-0.11502,-0.093222,-0.0718723,-0.0509732,-0.0305261,-0.0105316,0.00901064,0.0281015,0.0467428,0.0649367,0.082686,0.0999939,0.116864,0.1333,0.149306,0.164887,0.180046,0.194788,0.209117,0.223038,0.236555,0.249671,0.262392,0.27472,0.28666,0.298216,0.309391,0.320188,0.330612,0.340666,0.350354,0.35968,0.368647,0.377259,0.385521,0.393437,0.401012,0.408251,0.415159,0.421742,0.428005,0.433956,0.439601,0.444947,0.450002,0.454772,0.459266,0.463492,0.467458,0.471173,0.474645,0.477884,0.480897,0.483694,0.486284,0.488673,0.490872,0.492887,0.494727,0.496399,0.497909,0.499265,0.500472,0.501536,0.502461,0.503252,0.503913,0.504445,0.504852,0.505135,0.505293,0.505327,0.505235,0.505014,0.504661,0.504171,0.503538,0.502755,0.501813,0.500702,0.499409,0.497922,0.496224,0.494299,0.492126,0.489684,0.486949,0.483892,0.480485,0.476694,0.472484,0.467814,0.462641,0.456918,0.450596,0.443618,0.435925,0.427455,0.418139,0.407906,0.39668,0.384382,0.370929,0.356236,0.340214,0.322775,0.30383,0.283292,0.261075,0.2371,0.211294,0.183592,0.153942,0.122303,0.0886555,0.0529938,0.0153327,-0.0242871,-0.0658045,-0.109138,-0.154182},
{-2.41173,-2.38248,-2.35322,-2.32393,-2.29464,-2.26532,-2.23598,-2.20663,-2.17725,-2.14785,-2.11843,-2.08899,-2.05952,-2.03003,-2.00051,-1.97096,-1.94139,-1.91179,-1.88217,-1.85251,-1.82282,-1.79311,-1.76336,-1.73358,-1.70376,-1.67392,-1.64404,-1.61413,-1.58418,-1.5542,-1.52419,-1.49414,-1.46406,-1.43396,-1.40381,-1.37364,-1.34345,-1.31322,-1.28297,-1.2527,-1.22241,-1.19211,-1.16179,-1.13146,-1.10114,-1.07081,-1.0405,-1.0102,-0.979922,-0.949677,-0.919472,-0.889318,-0.859225,-0.829204,-0.799267,-0.769427,-0.739698,-0.710094,-0.68063,-0.651322,-0.622185,-0.593236,-0.564492,-0.53597,-0.507687,-0.479659,-0.451905,-0.424441,-0.397282,-0.370446,-0.343947,-0.3178,-0.29202,-0.266618,-0.241607,-0.216999,-0.192803,-0.169029,-0.145684,-0.122775,-0.100308,-0.0782882,-0.0567187,-0.0356024,-0.0149411,0.00526419,0.0250134,0.0443071,0.0631465,0.0815335,0.0994704,0.11696,0.134005,0.150609,0.166776,0.18251,0.197813,0.212691,0.227147,0.241185,0.254809,0.268022,0.280829,0.293233,0.305238,0.316848,0.328065,0.338894,0.349339,0.359402,0.369089,0.378402,0.387347,0.395927,0.404147,0.412012,0.419528,0.4267,0.433534,0.440035,0.446212,0.45207,0.457618,0.462862,0.467811,0.472473,0.476856,0.48097,0.484822,0.488423,0.491781,0.494905,0.497804,0.500487,0.502963,0.50524,0.507328,0.509232,0.510962,0.512525,0.513927,0.515174,0.516272,0.517226,0.518041,0.518719,0.519265,0.51968,0.519965,0.52012,0.520146,0.520041,0.519801,0.519423,0.518903,0.518233,0.517407,0.516414,0.515245,0.513887,0.512326,0.510546,0.508528,0.506253,0.503697,0.500836,0.497641,0.494082,0.490124,0.48573,0.480859,0.475468,0.469508,0.462926,0.455667,0.44767,0.43887,0.4292,0.418585,0.40695,0.394213,0.380292,0.365101,0.348552,0.330556,0.311026,0.289875,0.26702,0.242384,0.215898,0.187499,0.157141,0.124788,0.0904252,0.0540538,0.0156976,-0.024599,-0.0667671,-0.110719,-0.156344},
{-2.4363,-2.40705,-2.37777,-2.34848,-2.31917,-2.28984,-2.2605,-2.23113,-2.20174,-2.17233,-2.14289,-2.11343,-2.08395,-2.05444,-2.0249,-1.99533,-1.96574,-1.93612,-1.90646,-1.87678,-1.84706,-1.81731,-1.78753,-1.75771,-1.72786,-1.69797,-1.66805,-1.63809,-1.60809,-1.57806,-1.54799,-1.51788,-1.48774,-1.45756,-1.42734,-1.39709,-1.3668,-1.33649,-1.30614,-1.27576,-1.24536,-1.21493,-1.18449,-1.15402,-1.12355,-1.09307,-1.06258,-1.03211,-1.00164,-0.971192,-0.940772,-0.910388,-0.880051,-0.84977,-0.819558,-0.789427,-0.759389,-0.729459,-0.699651,-0.66998,-0.640462,-0.611113,-0.581949,-0.552989,-0.524248,-0.495745,-0.467496,-0.439519,-0.41183,-0.384447,-0.357385,-0.330661,-0.304288,-0.278281,-0.252654,-0.227418,-0.202585,-0.178166,-0.154169,-0.130604,-0.107476,-0.0847924,-0.0625582,-0.0407773,-0.0194528,0.00141314,0.0218192,0.0417648,0.0612501,0.0802759,0.0988437,0.116955,0.134613,0.151819,0.168577,0.184889,0.20076,0.216192,0.231188,0.245754,0.259891,0.273604,0.286896,0.299771,0.312231,0.324282,0.335926,0.347166,0.358007,0.368453,0.378506,0.388172,0.397455,0.406359,0.414889,0.42305,0.430848,0.438288,0.445377,0.452121,0.458528,0.464603,0.470356,0.475794,0.480925,0.485759,0.490303,0.494567,0.49856,0.502291,0.505771,0.509007,0.512011,0.51479,0.517355,0.519713,0.521873,0.523845,0.525635,0.527251,0.528701,0.529989,0.531124,0.532108,0.532948,0.533646,0.534206,0.53463,0.53492,0.535075,0.535094,0.534977,0.534721,0.534321,0.533773,0.533069,0.532203,0.531163,0.529941,0.528522,0.526892,0.525034,0.52293,0.520559,0.517897,0.514919,0.511594,0.507893,0.503779,0.499215,0.494158,0.488564,0.482384,0.475563,0.468044,0.459767,0.450665,0.440669,0.429704,0.417695,0.404559,0.390213,0.37457,0.357544,0.339045,0.318989,0.297287,0.273861,0.248635,0.221543,0.192526,0.161541,0.128558,0.0935675,0.056575,0.0176107,-0.0232752,-0.0660085,-0.110497,-0.156624},
{-2.46029,-2.43103,-2.40174,-2.37244,-2.34313,-2.31379,-2.28443,-2.25505,-2.22565,-2.19622,-2.16677,-2.1373,-2.1078,-2.07827,-2.04871,-2.01913,-1.98952,-1.95987,-1.93019,-1.90048,-1.87074,-1.84096,-1.81115,-1.78129,-1.75141,-1.72148,-1.69151,-1.66151,-1.63147,-1.60138,-1.57125,-1.54109,-1.51088,-1.48063,-1.45035,-1.42002,-1.38965,-1.35925,-1.3288,-1.29833,-1.26782,-1.23728,-1.20671,-1.17612,-1.1455,-1.11487,-1.08423,-1.05359,-1.02294,-0.992301,-0.961677,-0.931076,-0.900508,-0.869982,-0.839509,-0.809102,-0.778772,-0.748532,-0.718397,-0.688381,-0.6585,-0.628769,-0.599205,-0.569825,-0.540646,-0.511685,-0.48296,-0.454489,-0.426289,-0.398377,-0.37077,-0.343484,-0.316535,-0.289939,-0.263709,-0.237859,-0.212402,-0.187349,-0.162712,-0.138498,-0.114718,-0.0913786,-0.0684859,-0.0460455,-0.0240617,-0.00253817,0.0185227,0.039119,0.05925,0.0789153,0.0981152,0.116851,0.135123,0.152935,0.170287,0.187183,0.203625,0.219617,0.23516,0.250258,0.264915,0.279133,0.292917,0.306268,0.319191,0.331689,0.343765,0.355423,0.366667,0.3775,0.387927,0.397951,0.407578,0.416811,0.425655,0.434117,0.442202,0.449915,0.457263,0.464254,0.470894,0.47719,0.483152,0.488786,0.494103,0.49911,0.503817,0.508233,0.512368,0.516232,0.519834,0.523185,0.526293,0.529169,0.531822,0.534261,0.536494,0.538532,0.540381,0.542049,0.543544,0.544873,0.54604,0.547052,0.547913,0.548627,0.549197,0.549626,0.549913,0.550061,0.550067,0.549931,0.549649,0.549217,0.54863,0.54788,0.54696,0.545859,0.544567,0.543069,0.54135,0.539393,0.537179,0.534686,0.531889,0.528761,0.525273,0.521392,0.517081,0.512302,0.50701,0.50116,0.4947,0.487577,0.479731,0.471099,0.461614,0.451207,0.439801,0.427318,0.413676,0.398792,0.382579,0.364949,0.345815,0.325093,0.302697,0.278549,0.252578,0.224721,0.194926,0.163153,0.129379,0.0936005,0.0558312,0.0161084,-0.0255102,-0.0689432,-0.114092,-0.160836},
{-2.48372,-2.45445,-2.42516,-2.39585,-2.36652,-2.33718,-2.30781,-2.27842,-2.249,-2.21957,-2.1901,-2.16062,-2.1311,-2.10156,-2.07198,-2.04238,-2.01275,-1.98308,-1.95338,-1.92365,-1.89388,-1.86407,-1.83422,-1.80434,-1.77442,-1.74446,-1.71445,-1.68441,-1.65432,-1.62418,-1.59401,-1.56378,-1.53352,-1.50321,-1.47285,-1.44245,-1.41201,-1.38152,-1.35099,-1.32042,-1.28981,-1.25916,-1.22848,-1.19776,-1.16702,-1.13625,-1.10546,-1.07465,-1.04384,-1.01302,-0.982199,-0.951393,-0.920606,-0.889848,-0.859128,-0.828458,-0.79785,-0.767316,-0.73687,-0.706525,-0.676298,-0.646202,-0.616255,-0.586474,-0.556874,-0.527474,-0.498292,-0.469345,-0.44065,-0.412227,-0.384091,-0.35626,-0.328752,-0.301581,-0.274763,-0.248312,-0.222244,-0.196569,-0.171301,-0.14645,-0.122026,-0.0980376,-0.0744928,-0.0513983,-0.0287597,-0.00658193,0.0151313,0.036377,0.057153,0.077458,0.0972913,0.116653,0.135543,0.153963,0.171914,0.189397,0.206416,0.222971,0.239066,0.254703,0.269885,0.284615,0.298896,0.31273,0.326122,0.339073,0.351588,0.363671,0.375323,0.386551,0.397357,0.407745,0.417721,0.427289,0.436454,0.445222,0.453598,0.46159,0.469203,0.476444,0.483322,0.489844,0.496018,0.501853,0.507358,0.512542,0.517416,0.521988,0.526268,0.530267,0.533995,0.537462,0.540678,0.543653,0.546397,0.548919,0.551228,0.553333,0.555244,0.556967,0.55851,0.55988,0.561083,0.562125,0.56301,0.563743,0.564326,0.564761,0.565051,0.565195,0.565192,0.56504,0.564737,0.564278,0.563658,0.562868,0.561901,0.560746,0.559392,0.557824,0.556027,0.553982,0.55167,0.549069,0.546152,0.542892,0.539259,0.535219,0.530734,0.525765,0.520266,0.51419,0.507486,0.500098,0.491965,0.483024,0.473207,0.462442,0.450653,0.437762,0.423685,0.408339,0.391637,0.373492,0.353818,0.33253,0.309547,0.284791,0.258195,0.229699,0.199254,0.166825,0.132397,0.0959691,0.0575611,0.0172169,-0.0249994,-0.0690034,-0.114688,-0.161933},
{-2.50661,-2.47733,-2.44804,-2.41872,-2.38939,-2.36003,-2.33066,-2.30126,-2.27183,-2.24238,-2.21291,-2.18341,-2.15388,-2.12432,-2.09473,-2.06511,-2.03546,-2.00577,-1.97605,-1.94629,-1.9165,-1.88667,-1.85679,-1.82688,-1.79693,-1.76693,-1.73689,-1.7068,-1.67667,-1.64649,-1.61626,-1.58599,-1.55567,-1.5253,-1.49488,-1.46441,-1.43389,-1.40333,-1.37271,-1.34205,-1.31135,-1.2806,-1.24981,-1.21898,-1.18811,-1.15721,-1.12627,-1.09532,-1.06434,-1.03335,-1.00235,-0.971348,-0.940354,-0.909375,-0.878421,-0.847502,-0.81663,-0.785816,-0.755074,-0.724416,-0.693858,-0.663414,-0.633101,-0.602934,-0.572931,-0.543109,-0.513486,-0.48408,-0.454909,-0.425991,-0.397343,-0.368984,-0.34093,-0.3132,-0.285808,-0.258771,-0.232103,-0.205819,-0.179931,-0.154452,-0.129393,-0.104764,-0.080574,-0.0568312,-0.0335427,-0.0107145,0.0116481,0.0335412,0.0549612,0.0759056,0.0963728,0.116361,0.135871,0.154902,0.173454,0.191529,0.209128,0.226253,0.242904,0.259085,0.274798,0.290045,0.304829,0.319153,0.333019,0.34643,0.35939,0.371903,0.383971,0.395598,0.406789,0.417547,0.427878,0.437786,0.447277,0.456355,0.465028,0.473302,0.481184,0.48868,0.4958,0.50255,0.50894,0.514979,0.520676,0.52604,0.531082,0.535812,0.540239,0.544376,0.548231,0.551815,0.555139,0.558214,0.561048,0.563653,0.566037,0.568211,0.570181,0.571957,0.573547,0.574957,0.576193,0.577262,0.578168,0.578915,0.579506,0.579944,0.58023,0.580364,0.580345,0.58017,0.579838,0.579342,0.578678,0.577837,0.576811,0.575588,0.574156,0.572501,0.570607,0.568454,0.566022,0.563287,0.560224,0.556803,0.552992,0.548758,0.544061,0.538859,0.533108,0.526758,0.519756,0.512045,0.503564,0.494247,0.484025,0.472825,0.460571,0.447182,0.432576,0.416669,0.399373,0.380603,0.360272,0.338299,0.314604,0.289112,0.26176,0.232491,0.201262,0.168045,0.132829,0.0956221,0.0564502,0.0153649,-0.0275622,-0.0722407,-0.118557,-0.166388},
{-2.529,-2.49971,-2.47041,-2.44109,-2.41175,-2.38238,-2.353,-2.32359,-2.29415,-2.26469,-2.23521,-2.20569,-2.17615,-2.14658,-2.11698,-2.08734,-2.05767,-2.02796,-1.99822,-1.96845,-1.93863,-1.90877,-1.87887,-1.84893,-1.81895,-1.78892,-1.75884,-1.72872,-1.69854,-1.66832,-1.63805,-1.60773,-1.57735,-1.54693,-1.51645,-1.48592,-1.45533,-1.42469,-1.394,-1.36325,-1.33246,-1.30161,-1.27072,-1.23977,-1.20879,-1.17776,-1.1467,-1.1156,-1.08447,-1.05331,-1.02214,-0.990953,-0.959761,-0.928573,-0.897396,-0.86624,-0.835117,-0.804036,-0.773011,-0.742054,-0.71118,-0.680403,-0.649739,-0.619204,-0.588814,-0.558586,-0.52854,-0.498691,-0.469059,-0.439662,-0.410519,-0.381646,-0.353064,-0.324788,-0.296837,-0.269226,-0.241972,-0.215089,-0.188593,-0.162496,-0.136811,-0.111549,-0.086721,-0.0623361,-0.0384028,-0.0149284,0.00808054,0.0306186,0.0526812,0.0742646,0.0953659,0.115983,0.136114,0.155758,0.174915,0.193585,0.211768,0.229466,0.246679,0.26341,0.279659,0.295429,0.310722,0.325541,0.339887,0.353765,0.367177,0.380125,0.392614,0.404648,0.41623,0.427364,0.438056,0.44831,0.458131,0.467527,0.476502,0.485063,0.493218,0.500975,0.508341,0.515324,0.521935,0.528181,0.534074,0.539622,0.544836,0.549727,0.554305,0.558581,0.562566,0.566271,0.569707,0.572883,0.575812,0.578503,0.580965,0.583208,0.585242,0.587074,0.588713,0.590165,0.591438,0.592537,0.593467,0.594232,0.594836,0.595281,0.595567,0.595696,0.595665,0.595474,0.595118,0.594593,0.593893,0.593009,0.591932,0.590651,0.589154,0.587424,0.585446,0.5832,0.580665,0.577815,0.574626,0.571066,0.567103,0.562702,0.557823,0.552424,0.546457,0.539873,0.532618,0.524633,0.515857,0.506222,0.495659,0.484095,0.471451,0.457648,0.442602,0.426229,0.408442,0.389156,0.368287,0.345754,0.321478,0.295388,0.267423,0.237531,0.205674,0.171825,0.135981,0.0981549,0.0583781,0.0167077,-0.0267794,-0.0719881,-0.118801,-0.167091},
{-2.55089,-2.5216,-2.4923,-2.46297,-2.43362,-2.40425,-2.37485,-2.34543,-2.31599,-2.28652,-2.25703,-2.2275,-2.19795,-2.16836,-2.13874,-2.10909,-2.07941,-2.04968,-2.01992,-1.99013,-1.96029,-1.93041,-1.90048,-1.87051,-1.8405,-1.81044,-1.78033,-1.75017,-1.71996,-1.6897,-1.65939,-1.62902,-1.59859,-1.56811,-1.53758,-1.50698,-1.47633,-1.44562,-1.41485,-1.38403,-1.35315,-1.32221,-1.29122,-1.26017,-1.22908,-1.19793,-1.16674,-1.1355,-1.10423,-1.07292,-1.04158,-1.01022,-0.978838,-0.94745,-0.916061,-0.884679,-0.853316,-0.821981,-0.790686,-0.759444,-0.728268,-0.697173,-0.666173,-0.635283,-0.604522,-0.573904,-0.543449,-0.513174,-0.483097,-0.453238,-0.423613,-0.394244,-0.365146,-0.33634,-0.307843,-0.279672,-0.251844,-0.224375,-0.197281,-0.170577,-0.144275,-0.118389,-0.0929302,-0.0679097,-0.0433371,-0.0192212,0.0044303,0.0276106,0.050314,0.0725353,0.0942704,0.115516,0.13627,0.156529,0.176293,0.195561,0.214333,0.232608,0.250387,0.267672,0.284462,0.30076,0.316568,0.331888,0.346721,0.361071,0.374939,0.38833,0.401246,0.413692,0.42567,0.437186,0.448244,0.458849,0.469007,0.478723,0.488005,0.496859,0.505292,0.513312,0.520928,0.528148,0.534982,0.541439,0.54753,0.553264,0.558652,0.563706,0.568436,0.572853,0.57697,0.580796,0.584343,0.587622,0.590644,0.593419,0.595958,0.598271,0.600365,0.602251,0.603936,0.605428,0.606734,0.607858,0.608808,0.609586,0.610195,0.610639,0.610919,0.611033,0.610982,0.610763,0.610372,0.609804,0.609053,0.60811,0.606965,0.605607,0.604022,0.602195,0.600108,0.59774,0.59507,0.592072,0.588719,0.58498,0.580821,0.576205,0.571091,0.565436,0.559192,0.552307,0.544725,0.536388,0.527231,0.517187,0.506185,0.49415,0.481004,0.466665,0.451051,0.434077,0.415656,0.395705,0.374141,0.350883,0.325858,0.298997,0.270243,0.239549,0.206882,0.172223,0.135574,0.0969559,0.0564076,0.0139937,-0.0302019,-0.0760782,-0.123513,-0.172374},
{-2.57232,-2.54303,-2.51371,-2.48438,-2.45502,-2.42565,-2.39625,-2.36682,-2.33737,-2.30789,-2.27838,-2.24885,-2.21928,-2.18968,-2.16005,-2.13039,-2.10068,-2.07095,-2.04117,-2.01135,-1.98149,-1.95159,-1.92164,-1.89165,-1.86161,-1.83152,-1.80138,-1.77119,-1.74094,-1.71064,-1.68029,-1.64988,-1.6194,-1.58887,-1.55828,-1.52763,-1.49692,-1.46614,-1.4353,-1.4044,-1.37344,-1.34242,-1.31133,-1.28019,-1.24898,-1.21772,-1.18641,-1.15504,-1.12363,-1.09217,-1.06068,-1.02915,-0.997592,-0.966014,-0.934422,-0.902826,-0.871234,-0.839656,-0.808104,-0.776589,-0.745124,-0.713723,-0.6824,-0.651172,-0.620053,-0.58906,-0.558212,-0.527525,-0.497019,-0.466711,-0.436622,-0.406769,-0.377171,-0.347849,-0.318819,-0.290101,-0.261711,-0.233668,-0.205988,-0.178686,-0.151777,-0.125275,-0.0991929,-0.0735434,-0.0483373,-0.0235846,0.000705698,0.0245254,0.0478673,0.0707253,0.093094,0.114969,0.136346,0.157223,0.177597,0.197466,0.216829,0.235685,0.254035,0.271878,0.289215,0.306048,0.322376,0.338202,0.353528,0.368355,0.382687,0.396527,0.409876,0.42274,0.435121,0.447025,0.458455,0.469417,0.479917,0.48996,0.499554,0.508705,0.517421,0.52571,0.533581,0.541043,0.548105,0.554777,0.56107,0.566995,0.572562,0.577783,0.582668,0.587231,0.591482,0.595433,0.599095,0.602481,0.6056,0.608464,0.611084,0.613469,0.615628,0.617572,0.619308,0.620844,0.622187,0.623343,0.624317,0.625114,0.625736,0.626186,0.626466,0.626576,0.626513,0.626276,0.625861,0.625262,0.624474,0.623486,0.622289,0.620872,0.619219,0.617316,0.615143,0.612681,0.609905,0.606791,0.60331,0.59943,0.595118,0.590334,0.585037,0.579184,0.572724,0.565605,0.557772,0.549163,0.539715,0.529358,0.518021,0.505629,0.492102,0.47736,0.46132,0.443896,0.425004,0.40456,0.382483,0.358694,0.33312,0.305698,0.276372,0.245099,0.21185,0.17661,0.139388,0.100206,0.0591124,0.016173,-0.0285225,-0.0748696,-0.122743,-0.172009},
{-2.59331,-2.56401,-2.53469,-2.50535,-2.47599,-2.4466,-2.41719,-2.38776,-2.3583,-2.32881,-2.2993,-2.26975,-2.24017,-2.21056,-2.18092,-2.15124,-2.12153,-2.09177,-2.06198,-2.03214,-2.00227,-1.97234,-1.94237,-1.91236,-1.88229,-1.85218,-1.82201,-1.79178,-1.7615,-1.73117,-1.70077,-1.67032,-1.6398,-1.60923,-1.57858,-1.54788,-1.5171,-1.48627,-1.45536,-1.42439,-1.39335,-1.36224,-1.33107,-1.29983,-1.26852,-1.23715,-1.20572,-1.17424,-1.14269,-1.1111,-1.07945,-1.04776,-1.01603,-0.984274,-0.95249,-0.920688,-0.888877,-0.857067,-0.825269,-0.793492,-0.761751,-0.730057,-0.698426,-0.666871,-0.635408,-0.604055,-0.572828,-0.541744,-0.510823,-0.480082,-0.449541,-0.41922,-0.389136,-0.359311,-0.329763,-0.30051,-0.271572,-0.242966,-0.21471,-0.18682,-0.159314,-0.132205,-0.105508,-0.0792366,-0.0534031,-0.0280189,-0.00309427,0.0213612,0.0453392,0.068832,0.0918332,0.114337,0.136338,0.157833,0.178818,0.199291,0.219249,0.23869,0.257614,0.27602,0.293909,0.311279,0.328133,0.344471,0.360295,0.375606,0.390407,0.4047,0.418488,0.431775,0.444565,0.456861,0.468669,0.479993,0.490839,0.501214,0.511124,0.520577,0.52958,0.538141,0.54627,0.553976,0.561269,0.568159,0.574656,0.580773,0.58652,0.591908,0.59695,0.601658,0.606044,0.610119,0.613895,0.617385,0.6206,0.62355,0.626247,0.628701,0.630921,0.632918,0.634699,0.636272,0.637645,0.638823,0.639813,0.640617,0.641241,0.641685,0.641951,0.642038,0.641947,0.641672,0.641212,0.640559,0.639706,0.638646,0.637365,0.635854,0.634095,0.632073,0.629769,0.627161,0.624225,0.620934,0.617258,0.613166,0.60862,0.603582,0.598009,0.591854,0.585068,0.577596,0.56938,0.560359,0.550466,0.539632,0.527784,0.514846,0.500738,0.485378,0.468683,0.450568,0.43095,0.409746,0.386877,0.362266,0.335845,0.307554,0.277343,0.245174,0.211025,0.174888,0.13678,0.0967327,0.0548008,0.011059,-0.0343958,-0.0814528,-0.129981,-0.179846},
{-2.61386,-2.58456,-2.55523,-2.52589,-2.49652,-2.46713,-2.43771,-2.40827,-2.3788,-2.34931,-2.31979,-2.29023,-2.26064,-2.23102,-2.20137,-2.17168,-2.14195,-2.11218,-2.08237,-2.05252,-2.02262,-1.99268,-1.96269,-1.93265,-1.90256,-1.87242,-1.84222,-1.81197,-1.78166,-1.75129,-1.72086,-1.69036,-1.65981,-1.62918,-1.59849,-1.56773,-1.53691,-1.50601,-1.47504,-1.444,-1.41288,-1.3817,-1.35044,-1.31911,-1.28771,-1.25624,-1.2247,-1.19309,-1.16142,-1.12969,-1.0979,-1.06606,-1.03417,-1.00224,-0.97027,-0.938271,-0.906252,-0.87422,-0.842185,-0.810159,-0.778152,-0.746178,-0.714249,-0.682381,-0.650588,-0.618887,-0.587294,-0.555827,-0.524504,-0.493345,-0.462367,-0.43159,-0.401035,-0.37072,-0.340666,-0.310891,-0.281416,-0.252259,-0.223439,-0.194972,-0.166877,-0.13917,-0.111866,-0.0849798,-0.0585251,-0.0325146,-0.00696006,0.0181277,0.042739,0.0668649,0.0904975,0.11363,0.136256,0.158371,0.179969,0.201047,0.221603,0.241633,0.261135,0.280109,0.298553,0.316467,0.333852,0.350707,0.367035,0.382835,0.398111,0.412864,0.427098,0.440814,0.454018,0.466713,0.478904,0.490596,0.501795,0.512507,0.522739,0.532499,0.541794,0.550633,0.559025,0.566981,0.574509,0.581621,0.588328,0.59464,0.600571,0.606132,0.611334,0.616191,0.620715,0.624918,0.628813,0.632411,0.635724,0.638765,0.641543,0.64407,0.646355,0.648409,0.65024,0.651855,0.653263,0.65447,0.655481,0.6563,0.656931,0.657376,0.657636,0.657711,0.657599,0.657298,0.656804,0.656109,0.655207,0.654088,0.652742,0.651154,0.649311,0.647193,0.644783,0.642057,0.63899,0.635556,0.631723,0.627458,0.622724,0.617481,0.611685,0.605289,0.598241,0.590486,0.581965,0.572616,0.562371,0.551161,0.538911,0.525544,0.51098,0.495139,0.477935,0.459287,0.439109,0.417322,0.393847,0.368611,0.341548,0.312601,0.281724,0.248885,0.214064,0.177263,0.1385,0.0978147,0.0552673,0.0109388,-0.0350718,-0.0826473,-0.131654,-0.181957},
{-2.634,-2.60469,-2.57536,-2.54601,-2.51664,-2.48725,-2.45782,-2.42838,-2.3989,-2.3694,-2.33987,-2.3103,-2.28071,-2.25108,-2.22141,-2.19171,-2.16197,-2.13218,-2.10236,-2.07249,-2.04258,-2.01262,-1.98261,-1.95255,-1.92244,-1.89227,-1.86205,-1.83177,-1.80143,-1.77102,-1.74056,-1.71003,-1.67943,-1.64876,-1.61803,-1.58722,-1.55634,-1.52538,-1.49435,-1.46324,-1.43206,-1.4008,-1.36946,-1.33804,-1.30655,-1.27498,-1.24334,-1.21162,-1.17983,-1.14797,-1.11605,-1.08406,-1.05202,-1.01992,-0.987771,-0.955585,-0.923365,-0.89112,-0.858859,-0.826593,-0.794332,-0.762088,-0.729874,-0.697704,-0.665593,-0.633557,-0.601612,-0.569775,-0.538064,-0.506499,-0.475097,-0.443879,-0.412864,-0.382073,-0.351526,-0.321243,-0.291243,-0.261546,-0.232172,-0.203139,-0.174465,-0.146169,-0.118265,-0.0907717,-0.0637023,-0.0370712,-0.0108916,0.0148244,0.0400658,0.0648224,0.0890849,0.112845,0.136096,0.158831,0.181044,0.20273,0.223885,0.244507,0.264591,0.284136,0.303141,0.321603,0.339524,0.356902,0.373738,0.390033,0.405789,0.421008,0.435692,0.449844,0.463468,0.476567,0.489147,0.501212,0.512768,0.523822,0.534381,0.544452,0.554044,0.563164,0.571824,0.580032,0.587799,0.595136,0.602054,0.608566,0.614683,0.620417,0.625782,0.630789,0.635453,0.639785,0.643797,0.647504,0.650916,0.654045,0.656904,0.659502,0.66185,0.663959,0.665836,0.667491,0.66893,0.67016,0.671187,0.672015,0.672647,0.673086,0.673333,0.673386,0.673245,0.672907,0.672366,0.671617,0.670651,0.669458,0.668028,0.666346,0.664396,0.66216,0.659618,0.656746,0.65352,0.649909,0.645884,0.641408,0.636444,0.63095,0.624882,0.61819,0.610823,0.602723,0.59383,0.584081,0.573407,0.561737,0.548997,0.535107,0.51999,0.503561,0.485739,0.46644,0.445582,0.423085,0.398874,0.372879,0.345037,0.315296,0.283613,0.249963,0.214333,0.176732,0.137184,0.095735,0.0524537,0.00742785,-0.0392385,-0.0874217,-0.13699,-0.187801},
{-2.65375,-2.62444,-2.5951,-2.56575,-2.53637,-2.50697,-2.47754,-2.44809,-2.41861,-2.3891,-2.35956,-2.32998,-2.30038,-2.27074,-2.24106,-2.21135,-2.1816,-2.1518,-2.12196,-2.09208,-2.06215,-2.03217,-2.00215,-1.97207,-1.94193,-1.91174,-1.8815,-1.85119,-1.82082,-1.79039,-1.75989,-1.72932,-1.69869,-1.66798,-1.6372,-1.60634,-1.57541,-1.5444,-1.51331,-1.48214,-1.45089,-1.41956,-1.38814,-1.35665,-1.32507,-1.2934,-1.26166,-1.22983,-1.19793,-1.16595,-1.13389,-1.10177,-1.06957,-1.03732,-1.005,-0.972634,-0.940222,-0.907774,-0.875296,-0.842799,-0.810293,-0.77779,-0.745302,-0.712842,-0.680425,-0.648065,-0.61578,-0.583586,-0.5515,-0.519541,-0.487729,-0.456082,-0.424621,-0.393367,-0.362339,-0.331558,-0.301045,-0.27082,-0.240903,-0.211314,-0.182071,-0.153194,-0.1247,-0.0966059,-0.0689284,-0.0416826,-0.0148829,0.0114574,0.0373256,0.0627104,0.0876012,0.111989,0.135864,0.159219,0.182048,0.204344,0.226102,0.247318,0.267987,0.288108,0.307677,0.326692,0.345153,0.363059,0.38041,0.397206,0.413448,0.429138,0.444278,0.458872,0.472921,0.48643,0.499404,0.511848,0.523768,0.535169,0.54606,0.556448,0.566341,0.575748,0.584679,0.593144,0.601154,0.60872,0.615854,0.622569,0.628875,0.634787,0.640317,0.645478,0.650284,0.654747,0.658881,0.662698,0.666211,0.669432,0.672373,0.675045,0.677458,0.679624,0.68155,0.683245,0.684718,0.685974,0.687019,0.687858,0.688493,0.688928,0.689163,0.689198,0.689031,0.688658,0.688074,0.687273,0.686247,0.684986,0.683476,0.681704,0.679654,0.677306,0.67464,0.671631,0.668253,0.664477,0.66027,0.655596,0.650416,0.644687,0.638364,0.631396,0.623731,0.615309,0.606071,0.59595,0.584879,0.572784,0.559591,0.545222,0.529595,0.512629,0.494242,0.47435,0.452874,0.429735,0.40486,0.378181,0.34964,0.319187,0.286787,0.252417,0.21607,0.177761,0.137522,0.0954035,0.0514805,0.00584639,-0.0413903,-0.090102,-0.140155,-0.191406},
{-2.67311,-2.6438,-2.61446,-2.5851,-2.55572,-2.52631,-2.49688,-2.46742,-2.43793,-2.40842,-2.37887,-2.34929,-2.31968,-2.29003,-2.26034,-2.23062,-2.20085,-2.17104,-2.14119,-2.1113,-2.08135,-2.05136,-2.02132,-1.99122,-1.96106,-1.93085,-1.90058,-1.87025,-1.83985,-1.80939,-1.77886,-1.74826,-1.71759,-1.68684,-1.65602,-1.62512,-1.59414,-1.56308,-1.53193,-1.50071,-1.46939,-1.43799,-1.4065,-1.37493,-1.34326,-1.31151,-1.27967,-1.24774,-1.21573,-1.18363,-1.15145,-1.11919,-1.08685,-1.05444,-1.02197,-0.989428,-0.956832,-0.924187,-0.891501,-0.858783,-0.826042,-0.79329,-0.760538,-0.727799,-0.695086,-0.662415,-0.629801,-0.597261,-0.564812,-0.532473,-0.500262,-0.4682,-0.436305,-0.404599,-0.373103,-0.341837,-0.310822,-0.28008,-0.249631,-0.219495,-0.189694,-0.160245,-0.131168,-0.102482,-0.0742033,-0.0463489,-0.0189344,0.0080254,0.0345167,0.0605268,0.0860437,0.111057,0.135556,0.159532,0.182977,0.205884,0.228246,0.250059,0.271317,0.292016,0.312153,0.331726,0.350732,0.36917,0.38704,0.404341,0.421075,0.437241,0.452843,0.467883,0.482363,0.496287,0.509661,0.522488,0.534776,0.546529,0.557756,0.568464,0.578662,0.588359,0.597565,0.606291,0.614547,0.622344,0.629696,0.636614,0.643112,0.649202,0.654898,0.660213,0.66516,0.669754,0.674008,0.677934,0.681546,0.684855,0.687875,0.690617,0.693091,0.695308,0.697277,0.699006,0.700504,0.701777,0.702831,0.70367,0.704297,0.704715,0.704924,0.704924,0.704712,0.704285,0.703637,0.702761,0.701649,0.700289,0.698669,0.696773,0.694585,0.692085,0.689249,0.686054,0.682472,0.678471,0.674019,0.669077,0.663606,0.657561,0.650894,0.643555,0.635488,0.626634,0.61693,0.60631,0.594703,0.582037,0.568234,0.553217,0.536904,0.519215,0.500065,0.479376,0.457066,0.433062,0.407292,0.379693,0.350212,0.318804,0.285441,0.250107,0.212803,0.173552,0.132394,0.0893915,0.0446243,-0.00180542,-0.0497833,-0.099177,-0.14985,-0.20166},
{-2.69211,-2.66279,-2.63345,-2.60409,-2.5747,-2.54529,-2.51585,-2.48639,-2.4569,-2.42737,-2.39782,-2.36823,-2.33861,-2.30895,-2.27926,-2.24952,-2.21975,-2.18993,-2.16007,-2.13016,-2.1002,-2.07019,-2.04013,-2.01002,-1.97984,-1.94961,-1.91932,-1.88896,-1.85854,-1.82805,-1.79749,-1.76686,-1.73615,-1.70537,-1.67451,-1.64356,-1.61254,-1.58143,-1.55023,-1.51894,-1.48757,-1.4561,-1.42455,-1.3929,-1.36115,-1.32931,-1.29738,-1.26536,-1.23324,-1.20103,-1.16873,-1.13634,-1.10386,-1.07131,-1.03868,-1.00597,-0.973198,-0.940365,-0.907479,-0.874548,-0.841581,-0.808588,-0.775582,-0.742573,-0.709575,-0.676603,-0.643672,-0.610798,-0.577997,-0.545289,-0.512692,-0.480225,-0.447908,-0.415763,-0.38381,-0.35207,-0.320565,-0.289316,-0.258345,-0.227673,-0.197321,-0.16731,-0.137659,-0.108387,-0.0795138,-0.0510565,-0.0230322,0.00454305,0.0316541,0.0582868,0.084428,0.110065,0.135188,0.159785,0.183848,0.207368,0.230338,0.25275,0.2746,0.295882,0.316592,0.336727,0.356283,0.375259,0.393654,0.411467,0.428698,0.445348,0.461418,0.476911,0.491829,0.506176,0.519955,0.533173,0.545836,0.557948,0.569518,0.580554,0.591064,0.601059,0.610547,0.619539,0.628048,0.636084,0.643661,0.65079,0.657486,0.663762,0.669631,0.675108,0.680206,0.684939,0.689321,0.693366,0.697086,0.700495,0.703606,0.706429,0.708976,0.711258,0.713285,0.715065,0.716606,0.717915,0.718998,0.719859,0.720503,0.72093,0.721143,0.72114,0.720919,0.720477,0.719808,0.718904,0.717757,0.716356,0.714688,0.712737,0.710486,0.707914,0.705,0.701718,0.698039,0.693933,0.689365,0.684298,0.67869,0.672497,0.665672,0.658162,0.649911,0.64086,0.630946,0.620102,0.608258,0.59534,0.581272,0.565975,0.54937,0.531373,0.511905,0.490885,0.468234,0.443879,0.41775,0.389785,0.359934,0.328154,0.294418,0.258714,0.221045,0.181438,0.139933,0.0965957,0.0515087,0.00477553,-0.0434879,-0.0931485,-0.144069,-0.196109},
{-2.71076,-2.68144,-2.65209,-2.62273,-2.59334,-2.56392,-2.53448,-2.50501,-2.47551,-2.44598,-2.41642,-2.38683,-2.3572,-2.32753,-2.29783,-2.26809,-2.2383,-2.20847,-2.1786,-2.14868,-2.1187,-2.08868,-2.0586,-2.02847,-1.99828,-1.96803,-1.93772,-1.90734,-1.87689,-1.84638,-1.81579,-1.78512,-1.75439,-1.72357,-1.69267,-1.66168,-1.63061,-1.59946,-1.56821,-1.53687,-1.50544,-1.47391,-1.44229,-1.41056,-1.37874,-1.34682,-1.3148,-1.28268,-1.25046,-1.21815,-1.18573,-1.15322,-1.12061,-1.08792,-1.05514,-1.02227,-0.989329,-0.956315,-0.923237,-0.890101,-0.856916,-0.823693,-0.790441,-0.757172,-0.7239,-0.690637,-0.657399,-0.624201,-0.59106,-0.557994,-0.525022,-0.492163,-0.459436,-0.426863,-0.394464,-0.362262,-0.330277,-0.298533,-0.267051,-0.235853,-0.204961,-0.174396,-0.144178,-0.114329,-0.0848687,-0.0558151,-0.0271869,0.000998678,0.0287251,0.0559769,0.0827395,0.108999,0.134744,0.159962,0.184642,0.208776,0.232353,0.255368,0.277812,0.299679,0.320965,0.341665,0.361776,0.381294,0.400219,0.418548,0.436281,0.453418,0.469961,0.485912,0.501272,0.516045,0.530236,0.543849,0.55689,0.569365,0.581282,0.592649,0.603474,0.613768,0.62354,0.632802,0.641565,0.649841,0.657643,0.664985,0.671879,0.67834,0.684381,0.690018,0.695263,0.700133,0.70464,0.708798,0.712622,0.716124,0.719318,0.722214,0.724826,0.727163,0.729236,0.731053,0.732623,0.733952,0.735047,0.735912,0.73655,0.736964,0.737154,0.73712,0.736859,0.736367,0.735638,0.734665,0.733437,0.731945,0.730173,0.728106,0.725726,0.723011,0.719939,0.716483,0.712613,0.708298,0.703503,0.698188,0.692311,0.685827,0.678685,0.670834,0.662216,0.652771,0.642434,0.631137,0.618809,0.605377,0.590763,0.574888,0.557672,0.539034,0.518893,0.497171,0.473791,0.448682,0.421776,0.393018,0.362359,0.329762,0.295207,0.258687,0.220213,0.179816,0.137547,0.0934759,0.0476926,0.00030618,-0.0485634,-0.0987797,-0.150205,-0.202698},
{-2.72907,-2.69974,-2.6704,-2.64102,-2.61163,-2.58221,-2.55276,-2.52329,-2.49379,-2.46425,-2.43468,-2.40508,-2.37545,-2.34578,-2.31606,-2.28631,-2.25652,-2.22668,-2.19679,-2.16686,-2.13688,-2.10684,-2.07675,-2.0466,-2.01639,-1.98612,-1.95579,-1.92539,-1.89492,-1.86438,-1.83377,-1.80307,-1.7723,-1.74145,-1.71052,-1.67949,-1.64838,-1.61718,-1.58589,-1.5545,-1.52301,-1.49142,-1.45973,-1.42794,-1.39605,-1.36405,-1.33194,-1.29973,-1.26742,-1.235,-1.20247,-1.16984,-1.13711,-1.10428,-1.07135,-1.03834,-1.00523,-0.972043,-0.938779,-0.905445,-0.872051,-0.838604,-0.805116,-0.771596,-0.738058,-0.704515,-0.67098,-0.637469,-0.603998,-0.570586,-0.537249,-0.504008,-0.470882,-0.437892,-0.405059,-0.372405,-0.339952,-0.307723,-0.27574,-0.244025,-0.212602,-0.181492,-0.150717,-0.120298,-0.0902567,-0.060613,-0.0313863,-0.00259514,0.0257427,0.0536103,0.0809919,0.107873,0.134238,0.160077,0.185375,0.210123,0.234311,0.257929,0.28097,0.303426,0.325292,0.346561,0.367231,0.387297,0.406756,0.425606,0.443847,0.461478,0.4785,0.494914,0.510723,0.525929,0.540537,0.55455,0.567976,0.58082,0.59309,0.604794,0.615941,0.62654,0.636602,0.646138,0.655161,0.663682,0.671715,0.679273,0.686371,0.693022,0.69924,0.705041,0.71044,0.71545,0.720087,0.724365,0.728297,0.731898,0.73518,0.738156,0.740838,0.743236,0.745362,0.747224,0.74883,0.750188,0.751303,0.752181,0.752824,0.753236,0.753416,0.753364,0.753077,0.75255,0.751779,0.750755,0.749469,0.747907,0.746058,0.743902,0.741423,0.738599,0.735406,0.731816,0.7278,0.723325,0.718355,0.71285,0.706767,0.700061,0.69268,0.684571,0.675675,0.665933,0.655278,0.643643,0.630956,0.617141,0.602124,0.585824,0.568161,0.549055,0.528427,0.506198,0.482294,0.456645,0.429187,0.399866,0.368637,0.335468,0.300339,0.263251,0.224217,0.183275,0.140478,0.0959022,0.0496396,0.00180342,-0.0474844,-0.0980856,-0.149863,-0.202675},
{-2.74705,-2.71772,-2.68837,-2.659,-2.6296,-2.60017,-2.57072,-2.54124,-2.51174,-2.4822,-2.45262,-2.42302,-2.39338,-2.3637,-2.33398,-2.30422,-2.27441,-2.24457,-2.21467,-2.18473,-2.15473,-2.12468,-2.09458,-2.06441,-2.03419,-2.0039,-1.97355,-1.94313,-1.91264,-1.88207,-1.85143,-1.82072,-1.78992,-1.75903,-1.72806,-1.697,-1.66585,-1.63461,-1.60327,-1.57183,-1.54029,-1.50864,-1.47689,-1.44504,-1.41307,-1.381,-1.34882,-1.31652,-1.28411,-1.25159,-1.21896,-1.18621,-1.15336,-1.1204,-1.08734,-1.05417,-1.02091,-0.987554,-0.954111,-0.920588,-0.886991,-0.853329,-0.819613,-0.785851,-0.752056,-0.718241,-0.684419,-0.650605,-0.616815,-0.583066,-0.549376,-0.515763,-0.482249,-0.448853,-0.415597,-0.382502,-0.349592,-0.316888,-0.284414,-0.252192,-0.220247,-0.188601,-0.157276,-0.126296,-0.0956813,-0.0654542,-0.0356349,-0.00624342,0.0227012,0.0511809,0.0791784,0.106677,0.133663,0.16012,0.186036,0.211399,0.236197,0.260421,0.284061,0.307109,0.329557,0.3514,0.372632,0.393249,0.413247,0.432623,0.451377,0.469506,0.487012,0.503895,0.520156,0.5358,0.550829,0.565249,0.579064,0.592282,0.604908,0.616953,0.628424,0.639332,0.649688,0.659502,0.668787,0.677555,0.685821,0.693598,0.700899,0.707741,0.714137,0.720103,0.725653,0.730804,0.735569,0.739964,0.744002,0.747698,0.751065,0.754116,0.756863,0.759317,0.761488,0.763387,0.765021,0.766398,0.767523,0.768402,0.769037,0.769432,0.769586,0.769498,0.769165,0.768584,0.767747,0.766647,0.765273,0.763612,0.761651,0.75937,0.756753,0.753775,0.750412,0.746637,0.742418,0.737721,0.73251,0.726743,0.720376,0.713362,0.70565,0.697184,0.687905,0.677751,0.666656,0.654552,0.641364,0.62702,0.61144,0.594547,0.576261,0.556502,0.535191,0.512253,0.487614,0.461209,0.432976,0.402865,0.370835,0.336861,0.300929,0.263043,0.223228,0.181524,0.137993,0.0927172,0.0457955,-0.00265777,-0.0525124,-0.103633,-0.155879,-0.20911},
{-2.76471,-2.73538,-2.70603,-2.67665,-2.64725,-2.61782,-2.58837,-2.55889,-2.52937,-2.49983,-2.47025,-2.44064,-2.41099,-2.38131,-2.35158,-2.32181,-2.292,-2.26214,-2.23224,-2.20228,-2.17228,-2.14222,-2.1121,-2.08192,-2.05168,-2.02138,-1.99101,-1.96057,-1.93006,-1.89947,-1.86881,-1.83806,-1.80723,-1.77632,-1.74532,-1.71422,-1.68304,-1.65175,-1.62037,-1.58888,-1.55729,-1.52559,-1.49378,-1.46186,-1.42983,-1.39769,-1.36542,-1.33304,-1.30055,-1.26793,-1.2352,-1.20234,-1.16938,-1.13629,-1.10309,-1.06979,-1.03637,-1.00285,-0.969239,-0.935532,-0.90174,-0.867871,-0.833933,-0.799938,-0.765895,-0.731816,-0.697716,-0.663608,-0.629508,-0.595432,-0.561399,-0.527426,-0.493534,-0.459742,-0.426073,-0.392548,-0.359189,-0.326021,-0.293065,-0.260347,-0.227888,-0.195715,-0.163849,-0.132314,-0.101133,-0.0703292,-0.0399231,-0.00993629,0.0196109,0.048699,0.0773095,0.105425,0.133028,0.160104,0.186638,0.212616,0.238027,0.262858,0.287099,0.310741,0.333776,0.356196,0.377995,0.399167,0.419709,0.439617,0.458888,0.477522,0.495517,0.512875,0.529596,0.545684,0.561141,0.575972,0.590183,0.60378,0.61677,0.629161,0.640963,0.652186,0.66284,0.672937,0.68249,0.691512,0.700015,0.708016,0.715527,0.722565,0.729143,0.735279,0.740987,0.746283,0.751182,0.755699,0.759848,0.763645,0.767103,0.770235,0.773053,0.77557,0.777794,0.779737,0.781407,0.782812,0.783956,0.784846,0.785485,0.785874,0.786015,0.785905,0.785543,0.784923,0.78404,0.782884,0.781444,0.779708,0.777662,0.775286,0.772562,0.769466,0.765973,0.762054,0.757678,0.752811,0.747414,0.741446,0.734862,0.727614,0.719649,0.710911,0.701342,0.690878,0.679453,0.666997,0.653437,0.638698,0.622703,0.605374,0.586631,0.566395,0.544589,0.521138,0.495971,0.469024,0.440239,0.409567,0.376973,0.342432,0.305938,0.267496,0.227137,0.184906,0.140867,0.0951068,0.0477285,-0.00115118,-0.0514003,-0.102883,-0.155458,-0.208989},
{-2.78207,-2.75274,-2.72338,-2.694,-2.6646,-2.63517,-2.60571,-2.57622,-2.54671,-2.51716,-2.48758,-2.45796,-2.42831,-2.39861,-2.36888,-2.33911,-2.30929,-2.27942,-2.24951,-2.21954,-2.18953,-2.15945,-2.12932,-2.09913,-2.06888,-2.03856,-2.00817,-1.97772,-1.94718,-1.91658,-1.88589,-1.85512,-1.82427,-1.79332,-1.76229,-1.73116,-1.69994,-1.66862,-1.63719,-1.60566,-1.57402,-1.54227,-1.5104,-1.47843,-1.44633,-1.41411,-1.38178,-1.34932,-1.31673,-1.28403,-1.2512,-1.21824,-1.18516,-1.15195,-1.11863,-1.08518,-1.05162,-1.01795,-0.984168,-0.950284,-0.916303,-0.882233,-0.848083,-0.813861,-0.779577,-0.745244,-0.710875,-0.676482,-0.642081,-0.607688,-0.573321,-0.538997,-0.504737,-0.47056,-0.436487,-0.402542,-0.368745,-0.335122,-0.301695,-0.268488,-0.235526,-0.202834,-0.170435,-0.138354,-0.106614,-0.0752389,-0.0442519,-0.0136751,0.0164701,0.0461628,0.0753831,0.104112,0.132332,0.160025,0.187176,0.213771,0.239794,0.265234,0.290078,0.314318,0.337941,0.360942,0.383311,0.405044,0.426134,0.446578,0.466373,0.485515,0.504006,0.521843,0.53903,0.555566,0.571457,0.586706,0.601318,0.615299,0.628658,0.641401,0.653539,0.665081,0.676039,0.686424,0.696249,0.705527,0.714273,0.722501,0.730226,0.737462,0.744227,0.750536,0.756404,0.761847,0.766882,0.771524,0.775787,0.779687,0.783237,0.786452,0.789343,0.791922,0.794202,0.79619,0.797897,0.799329,0.800494,0.801396,0.802038,0.802423,0.802551,0.80242,0.802029,0.801371,0.800441,0.799229,0.797725,0.795915,0.793784,0.791314,0.788484,0.785271,0.781649,0.777589,0.773059,0.768023,0.762443,0.756277,0.749479,0.742001,0.733788,0.724786,0.714933,0.704166,0.692419,0.679621,0.665699,0.650579,0.634183,0.616432,0.597249,0.576555,0.554273,0.530331,0.504659,0.477196,0.447884,0.416681,0.383551,0.348475,0.311449,0.272485,0.231615,0.188888,0.144373,0.0981606,0.0503562,0.00107854,-0.0495386,-0.101359,-0.154242,-0.208052},
{-2.79914,-2.7698,-2.74044,-2.71106,-2.68165,-2.65222,-2.62276,-2.59327,-2.56375,-2.5342,-2.50461,-2.47499,-2.44533,-2.41563,-2.38589,-2.35611,-2.32628,-2.29641,-2.26649,-2.23651,-2.20649,-2.1764,-2.14626,-2.11606,-2.08579,-2.05546,-2.02506,-1.99458,-1.96403,-1.9334,-1.90269,-1.8719,-1.84102,-1.81005,-1.77899,-1.74783,-1.71657,-1.68521,-1.65375,-1.62217,-1.59049,-1.55869,-1.52677,-1.49473,-1.46258,-1.43029,-1.39789,-1.36535,-1.33268,-1.29989,-1.26696,-1.23391,-1.20072,-1.1674,-1.13395,-1.10037,-1.06667,-1.03285,-0.998903,-0.964848,-0.930685,-0.896422,-0.862065,-0.827623,-0.793108,-0.758528,-0.723897,-0.689228,-0.654535,-0.619834,-0.585142,-0.550477,-0.515858,-0.481305,-0.44684,-0.412483,-0.378259,-0.34419,-0.310301,-0.276616,-0.243159,-0.209956,-0.177032,-0.144412,-0.11212,-0.0801812,-0.0486193,-0.0174578,0.0132805,0.0435737,0.0734005,0.102741,0.131575,0.159884,0.187652,0.214862,0.241499,0.267549,0.292999,0.317837,0.342053,0.365637,0.388582,0.410878,0.432521,0.453506,0.473828,0.493486,0.512476,0.530799,0.548456,0.565448,0.581777,0.597449,0.612467,0.626839,0.640571,0.653672,0.66615,0.678017,0.689283,0.69996,0.710062,0.719602,0.728594,0.737053,0.744994,0.752434,0.759388,0.765872,0.771903,0.777498,0.782671,0.787439,0.791818,0.795823,0.799468,0.802766,0.805732,0.808377,0.810712,0.812747,0.814492,0.815954,0.817139,0.818054,0.818701,0.819082,0.819198,0.819047,0.818627,0.817933,0.816957,0.815691,0.814123,0.81224,0.810026,0.807463,0.804529,0.801201,0.797453,0.793254,0.788573,0.783373,0.777615,0.771256,0.76425,0.756547,0.748094,0.738834,0.728707,0.717648,0.70559,0.692463,0.678193,0.662707,0.645926,0.627773,0.60817,0.587039,0.564306,0.539898,0.513749,0.485798,0.455991,0.424287,0.390655,0.355079,0.317557,0.278104,0.236758,0.193571,0.148615,0.101983,0.0537842,0.00413816,-0.0468197,-0.0989532,-0.152122,-0.206192},
{-2.81592,-2.78658,-2.75722,-2.72783,-2.69843,-2.66899,-2.63952,-2.61003,-2.58051,-2.55095,-2.52136,-2.49173,-2.46207,-2.43237,-2.40262,-2.37283,-2.343,-2.31312,-2.28319,-2.25321,-2.22317,-2.19308,-2.16292,-2.13271,-2.10243,-2.07208,-2.04166,-2.01117,-1.98061,-1.94996,-1.91923,-1.88842,-1.85751,-1.82652,-1.79543,-1.76424,-1.73295,-1.70155,-1.67005,-1.63843,-1.6067,-1.57485,-1.54289,-1.51079,-1.47858,-1.44623,-1.41376,-1.38115,-1.3484,-1.31552,-1.28251,-1.24935,-1.21606,-1.18263,-1.14906,-1.11536,-1.08152,-1.04755,-1.01345,-0.979231,-0.944892,-0.910441,-0.875884,-0.841231,-0.80649,-0.771671,-0.736787,-0.70185,-0.666873,-0.631873,-0.596866,-0.561869,-0.526901,-0.491981,-0.457132,-0.422375,-0.387732,-0.353227,-0.318885,-0.28473,-0.250788,-0.217083,-0.183642,-0.150491,-0.117655,-0.0851586,-0.0530281,-0.0212876,0.0100389,0.0409281,0.0713575,0.101306,0.130751,0.159675,0.188059,0.215884,0.243135,0.269795,0.295852,0.321291,0.346102,0.370272,0.393794,0.416658,0.438858,0.460387,0.481242,0.501418,0.520913,0.539727,0.557858,0.575309,0.592083,0.608182,0.623611,0.638377,0.652487,0.665949,0.678772,0.690967,0.702544,0.713517,0.723898,0.733701,0.742941,0.751633,0.759793,0.767436,0.774579,0.78124,0.787433,0.793177,0.798487,0.803381,0.807873,0.811979,0.815714,0.819092,0.822127,0.82483,0.827214,0.829289,0.831063,0.832544,0.83374,0.834656,0.835294,0.835656,0.835745,0.835556,0.835089,0.834336,0.833291,0.831945,0.830286,0.828299,0.825969,0.823277,0.8202,0.816715,0.812794,0.808407,0.803519,0.798095,0.792095,0.785473,0.778185,0.770177,0.761398,0.751788,0.741286,0.729828,0.717345,0.703767,0.689021,0.673032,0.655722,0.637014,0.616831,0.595098,0.571739,0.546685,0.519873,0.491243,0.460746,0.428345,0.394013,0.357737,0.319524,0.279392,0.237384,0.193559,0.147994,0.100785,0.052047,0.0019019,-0.0495135,-0.102062,-0.155606,-0.210012},
{-2.83242,-2.80308,-2.77372,-2.74433,-2.71492,-2.68548,-2.65602,-2.62652,-2.59699,-2.56743,-2.53784,-2.50821,-2.47854,-2.44883,-2.41908,-2.38929,-2.35945,-2.32956,-2.29962,-2.26963,-2.23958,-2.20948,-2.17932,-2.14909,-2.1188,-2.08844,-2.05801,-2.0275,-1.99692,-1.96625,-1.93551,-1.90467,-1.87374,-1.84272,-1.81161,-1.78039,-1.74907,-1.71764,-1.6861,-1.65444,-1.62267,-1.59078,-1.55876,-1.52662,-1.49434,-1.46194,-1.42939,-1.39671,-1.3639,-1.33093,-1.29783,-1.26458,-1.23119,-1.19765,-1.16397,-1.13014,-1.09617,-1.06206,-1.02782,-0.993435,-0.958926,-0.924293,-0.889544,-0.854685,-0.819725,-0.784675,-0.749545,-0.714347,-0.679096,-0.643805,-0.60849,-0.57317,-0.537861,-0.502585,-0.467361,-0.432212,-0.397159,-0.362228,-0.327442,-0.292826,-0.258406,-0.224208,-0.190258,-0.156583,-0.123209,-0.0901624,-0.0574692,-0.0251551,0.0067548,0.038236,0.0692646,0.0998178,0.129873,0.15941,0.188409,0.216849,0.244714,0.271987,0.298651,0.324694,0.350102,0.374862,0.398965,0.422401,0.445162,0.467241,0.488633,0.509333,0.529339,0.548648,0.567261,0.585178,0.602401,0.618933,0.63478,0.649947,0.664441,0.67827,0.691443,0.703972,0.715867,0.727141,0.737807,0.74788,0.757373,0.766304,0.774687,0.782539,0.789878,0.796719,0.803081,0.808979,0.814432,0.819456,0.824067,0.828281,0.832113,0.835577,0.838687,0.841457,0.843897,0.846018,0.84783,0.849341,0.850557,0.851483,0.852124,0.852481,0.852555,0.852343,0.851844,0.85105,0.849956,0.848551,0.846823,0.844758,0.842339,0.839548,0.836361,0.832754,0.828699,0.824166,0.81912,0.813523,0.807335,0.800512,0.793007,0.784767,0.775738,0.765862,0.755077,0.743318,0.730517,0.716603,0.701502,0.68514,0.66744,0.648326,0.62772,0.605549,0.581738,0.55622,0.528933,0.49982,0.468835,0.435942,0.401118,0.364354,0.325658,0.285055,0.242588,0.198321,0.152334,0.104726,0.055613,0.00511932,-0.0466178,-0.0994617,-0.153275,-0.207926},
{-2.84866,-2.81932,-2.78996,-2.76057,-2.73115,-2.70171,-2.67224,-2.64274,-2.61321,-2.58365,-2.55405,-2.52441,-2.49474,-2.46503,-2.43527,-2.40547,-2.37563,-2.34574,-2.31579,-2.28579,-2.25574,-2.22563,-2.19545,-2.16522,-2.13492,-2.10454,-2.0741,-2.04358,-2.01298,-1.9823,-1.95153,-1.92067,-1.88973,-1.85868,-1.82754,-1.79629,-1.76494,-1.73348,-1.70191,-1.67021,-1.6384,-1.60647,-1.5744,-1.54221,-1.50988,-1.47741,-1.44481,-1.41206,-1.37917,-1.34613,-1.31294,-1.27961,-1.24612,-1.21247,-1.17868,-1.14474,-1.11064,-1.07639,-1.042,-1.00747,-0.972794,-0.937986,-0.903049,-0.867991,-0.832821,-0.797546,-0.762177,-0.726727,-0.691208,-0.655634,-0.620021,-0.584386,-0.548746,-0.513121,-0.477532,-0.442,-0.406547,-0.371198,-0.335977,-0.300909,-0.266021,-0.231338,-0.196887,-0.162696,-0.128792,-0.095202,-0.0619527,-0.0290711,0.00341672,0.0354849,0.0671085,0.0982631,0.128925,0.159073,0.188684,0.217739,0.246217,0.274102,0.301375,0.328022,0.354029,0.379381,0.404067,0.428078,0.451403,0.474035,0.495968,0.517196,0.537716,0.557525,0.576622,0.595008,0.612685,0.629655,0.645922,0.661493,0.676374,0.690573,0.7041,0.716965,0.729179,0.740756,0.751708,0.76205,0.771798,0.780966,0.789572,0.797632,0.805163,0.812183,0.818709,0.824758,0.830349,0.835497,0.84022,0.844533,0.848453,0.851994,0.855169,0.857992,0.860474,0.862627,0.864459,0.86598,0.867195,0.86811,0.868728,0.869052,0.86908,0.868813,0.868245,0.867371,0.866183,0.864671,0.862823,0.860623,0.858054,0.855096,0.851726,0.847918,0.843644,0.838871,0.833564,0.827685,0.821192,0.814039,0.806178,0.797557,0.788119,0.777805,0.766552,0.754296,0.740966,0.726491,0.710798,0.693812,0.675457,0.655656,0.634334,0.611418,0.586837,0.560526,0.532425,0.502482,0.470654,0.436912,0.401238,0.363629,0.3241,0.28268,0.239424,0.194398,0.147691,0.0994073,0.0496666,-0.00140382,-0.053665,-0.10698,-0.161215,-0.216242},
{-2.86464,-2.8353,-2.80593,-2.77654,-2.74713,-2.71768,-2.68821,-2.65871,-2.62917,-2.59961,-2.57001,-2.54037,-2.51069,-2.48097,-2.45121,-2.42141,-2.39156,-2.36166,-2.33171,-2.3017,-2.27164,-2.24152,-2.21134,-2.18109,-2.15078,-2.1204,-2.08994,-2.0594,-2.02879,-1.99809,-1.96731,-1.93643,-1.90546,-1.8744,-1.84323,-1.81196,-1.78058,-1.74909,-1.71748,-1.68576,-1.6539,-1.62193,-1.58982,-1.55758,-1.5252,-1.49267,-1.46001,-1.4272,-1.39423,-1.36112,-1.32785,-1.29443,-1.26084,-1.2271,-1.1932,-1.15914,-1.12492,-1.09055,-1.05602,-1.02133,-0.986499,-0.951521,-0.916403,-0.881152,-0.845776,-0.810283,-0.774683,-0.738987,-0.703208,-0.667359,-0.631455,-0.595513,-0.55955,-0.523585,-0.487639,-0.451732,-0.415888,-0.38013,-0.344483,-0.308971,-0.273622,-0.238462,-0.203518,-0.168819,-0.134391,-0.100264,-0.0664645,-0.0330207,4.02134e-05,0.0326913,0.0649062,0.0966594,0.127926,0.158683,0.188906,0.218574,0.247667,0.276164,0.304048,0.331302,0.357909,0.383856,0.40913,0.433719,0.457613,0.480803,0.503282,0.525043,0.546083,0.566398,0.585987,0.604849,0.622985,0.640399,0.657093,0.673075,0.688349,0.702925,0.716812,0.73002,0.74256,0.754446,0.765691,0.77631,0.786318,0.795731,0.804566,0.81284,0.820571,0.827776,0.834474,0.840681,0.846417,0.851697,0.85654,0.860961,0.864977,0.868603,0.871853,0.874739,0.877275,0.879471,0.881337,0.882881,0.884111,0.88503,0.885643,0.885952,0.885956,0.885655,0.885043,0.884116,0.882864,0.881278,0.879344,0.877048,0.874371,0.871292,0.867789,0.863835,0.8594,0.854453,0.848957,0.842872,0.836158,0.828767,0.82065,0.811755,0.802024,0.791398,0.779814,0.767205,0.753503,0.738636,0.722531,0.705112,0.686305,0.666033,0.644223,0.620802,0.595701,0.568857,0.540213,0.509718,0.477334,0.443033,0.406802,0.368642,0.328571,0.286624,0.242857,0.197343,0.150172,0.101451,0.0513032,-0.000143021,-0.0527485,-0.106377,-0.160896,-0.216182},
{-2.88037,-2.85103,-2.82166,-2.79227,-2.76285,-2.7334,-2.70393,-2.67443,-2.64489,-2.61532,-2.58572,-2.55607,-2.52639,-2.49667,-2.46691,-2.4371,-2.40724,-2.37734,-2.34738,-2.31737,-2.2873,-2.25717,-2.22698,-2.19673,-2.1664,-2.13601,-2.10554,-2.07499,-2.04436,-2.01365,-1.98285,-1.95196,-1.92097,-1.88988,-1.85869,-1.8274,-1.79599,-1.76447,-1.73283,-1.70107,-1.66918,-1.63717,-1.60501,-1.57273,-1.5403,-1.50772,-1.475,-1.44212,-1.40909,-1.37591,-1.34256,-1.30905,-1.27538,-1.24154,-1.20754,-1.17337,-1.13903,-1.10453,-1.06986,-1.03503,-1.00005,-0.964904,-0.92961,-0.894173,-0.858598,-0.822893,-0.787068,-0.751134,-0.715102,-0.678985,-0.642798,-0.606558,-0.57028,-0.533983,-0.497688,-0.461416,-0.425189,-0.389031,-0.352965,-0.317019,-0.281218,-0.245589,-0.21016,-0.17496,-0.140016,-0.105359,-0.0710158,-0.0370158,-0.0033874,0.0298415,0.0626433,0.0949911,0.126859,0.158222,0.189055,0.219335,0.249041,0.278151,0.306646,0.334507,0.361717,0.388261,0.414124,0.439294,0.46376,0.487511,0.510539,0.532838,0.554401,0.575226,0.595309,0.614651,0.633251,0.651112,0.668238,0.684634,0.700305,0.715261,0.729511,0.743064,0.755933,0.76813,0.77967,0.790566,0.800835,0.810493,0.819558,0.828045,0.835974,0.843363,0.850229,0.856592,0.862468,0.867876,0.872833,0.877356,0.881462,0.885164,0.888479,0.891419,0.893997,0.896224,0.898109,0.899661,0.900887,0.901791,0.902379,0.90265,0.902605,0.902242,0.901557,0.900543,0.899192,0.897492,0.89543,0.892991,0.890155,0.886902,0.883207,0.879042,0.874378,0.86918,0.863413,0.857036,0.850006,0.842274,0.833792,0.824505,0.814355,0.803282,0.791222,0.778108,0.76387,0.748438,0.731737,0.713692,0.69423,0.673274,0.650754,0.626596,0.600737,0.573113,0.543674,0.512371,0.47917,0.444051,0.407004,0.368036,0.327172,0.284455,0.239945,0.193721,0.145881,0.0965363,0.0458104,-0.00616338,-0.0592459,-0.113303,-0.168204,-0.22383},
{-2.89586,-2.86652,-2.83715,-2.80775,-2.77833,-2.74889,-2.71941,-2.6899,-2.66036,-2.63079,-2.60118,-2.57154,-2.54186,-2.51213,-2.48236,-2.45255,-2.42269,-2.39278,-2.36282,-2.3328,-2.30272,-2.27259,-2.24239,-2.21213,-2.18179,-2.15139,-2.12091,-2.09035,-2.05971,-2.02898,-1.99816,-1.96725,-1.93625,-1.90514,-1.87393,-1.84261,-1.81118,-1.77963,-1.74796,-1.71617,-1.68425,-1.65219,-1.62,-1.58767,-1.55519,-1.52256,-1.48978,-1.45685,-1.42375,-1.3905,-1.35708,-1.32349,-1.28973,-1.2558,-1.2217,-1.18742,-1.15297,-1.11834,-1.08355,-1.04858,-1.01344,-0.978138,-0.942674,-0.907055,-0.871287,-0.835376,-0.799333,-0.763167,-0.726889,-0.690512,-0.654049,-0.617517,-0.580932,-0.544312,-0.507676,-0.471046,-0.434444,-0.397893,-0.361418,-0.325045,-0.288799,-0.252709,-0.216803,-0.181109,-0.145656,-0.110475,-0.0755942,-0.0410435,-0.00685249,0.0269498,0.0603347,0.0932741,0.125741,0.157708,0.18915,0.220042,0.250361,0.280084,0.30919,0.337661,0.365476,0.392619,0.419076,0.444831,0.469872,0.494189,0.517772,0.540612,0.562705,0.584045,0.60463,0.624457,0.643528,0.661843,0.679407,0.696223,0.712299,0.727641,0.74226,0.756166,0.76937,0.781885,0.793725,0.804906,0.815443,0.825353,0.834653,0.843361,0.851495,0.859074,0.866116,0.87264,0.878665,0.884208,0.889288,0.893921,0.898124,0.901913,0.905302,0.908306,0.910936,0.913205,0.915122,0.916695,0.917932,0.918838,0.919416,0.919668,0.919594,0.919192,0.918456,0.917382,0.915959,0.914177,0.912021,0.909476,0.906522,0.903138,0.899298,0.894975,0.890138,0.884754,0.878783,0.872187,0.86492,0.856936,0.848182,0.838605,0.828146,0.816744,0.804336,0.790854,0.776229,0.760388,0.743258,0.724767,0.704838,0.683399,0.660378,0.635705,0.609316,0.581153,0.551164,0.519307,0.485549,0.449872,0.412272,0.372759,0.331362,0.288128,0.243121,0.196423,0.148134,0.09837,0.0472548,-0.00507688,-0.0584862,-0.112841,-0.16801,-0.22388},
{-2.91112,-2.88177,-2.8524,-2.823,-2.79358,-2.76413,-2.73465,-2.70515,-2.67561,-2.64603,-2.61642,-2.58677,-2.55709,-2.52736,-2.49759,-2.46777,-2.4379,-2.40799,-2.37802,-2.348,-2.31792,-2.28777,-2.25757,-2.2273,-2.19695,-2.16654,-2.13605,-2.10548,-2.07482,-2.04408,-2.01325,-1.98233,-1.9513,-1.92018,-1.88895,-1.85761,-1.82615,-1.79458,-1.76288,-1.73105,-1.6991,-1.66701,-1.63478,-1.6024,-1.56988,-1.5372,-1.50437,-1.47138,-1.43822,-1.4049,-1.37141,-1.33774,-1.3039,-1.26988,-1.23568,-1.2013,-1.16674,-1.132,-1.09707,-1.06197,-1.02669,-0.991228,-0.955599,-0.919804,-0.883848,-0.847739,-0.811483,-0.775092,-0.738574,-0.701943,-0.665213,-0.628396,-0.591512,-0.554575,-0.517607,-0.480628,-0.443659,-0.406724,-0.369848,-0.333055,-0.296373,-0.25983,-0.223454,-0.187273,-0.151319,-0.115621,-0.0802084,-0.0451131,-0.010365,0.0240057,0.0579692,0.0914962,0.124558,0.157127,0.189175,0.220677,0.251608,0.281944,0.311663,0.340743,0.369165,0.39691,0.423961,0.450304,0.475924,0.50081,0.52495,0.548337,0.570964,0.592823,0.613913,0.634231,0.653776,0.67255,0.690555,0.707797,0.72428,0.740014,0.755006,0.769267,0.782809,0.795645,0.80779,0.819257,0.830064,0.840227,0.849764,0.858693,0.867033,0.874803,0.88202,0.888706,0.894877,0.900554,0.905753,0.910493,0.914791,0.918661,0.92212,0.925182,0.927859,0.930162,0.932102,0.933688,0.934926,0.935822,0.936379,0.936599,0.936481,0.936023,0.93522,0.934066,0.932551,0.930664,0.928389,0.925712,0.922611,0.919064,0.915046,0.910529,0.90548,0.899866,0.893647,0.886782,0.879227,0.870932,0.861847,0.851915,0.841078,0.829276,0.816441,0.802509,0.787408,0.771067,0.753414,0.734373,0.713873,0.69184,0.668204,0.642898,0.615859,0.587032,0.556368,0.523828,0.489385,0.453024,0.414745,0.374564,0.332515,0.288649,0.243036,0.195762,0.146932,0.0966642,0.0450844,-0.00767037,-0.0614648,-0.116165,-0.171645,-0.227794},
{-2.92614,-2.8968,-2.86742,-2.83803,-2.8086,-2.77915,-2.74967,-2.72016,-2.69062,-2.66104,-2.63143,-2.60178,-2.57209,-2.54236,-2.51258,-2.48276,-2.45289,-2.42298,-2.393,-2.36297,-2.33289,-2.30274,-2.27253,-2.24225,-2.2119,-2.18147,-2.15097,-2.12039,-2.08972,-2.05897,-2.02813,-1.99719,-1.96615,-1.935,-1.90375,-1.87239,-1.84091,-1.80931,-1.77759,-1.74574,-1.71375,-1.68162,-1.64935,-1.61694,-1.58437,-1.55165,-1.51876,-1.48572,-1.4525,-1.41911,-1.38555,-1.35181,-1.31789,-1.28378,-1.24949,-1.21501,-1.18035,-1.14549,-1.11044,-1.07521,-1.03979,-1.00418,-0.96839,-0.932424,-0.896286,-0.859982,-0.82352,-0.786909,-0.750159,-0.713282,-0.676289,-0.639196,-0.602019,-0.564774,-0.527481,-0.49016,-0.452832,-0.41552,-0.37825,-0.341047,-0.303936,-0.266947,-0.230108,-0.193449,-0.157,-0.120791,-0.0848534,-0.0492192,-0.0139193,0.0210151,0.055553,0.0896639,0.123318,0.156486,0.189139,0.22125,0.252792,0.283741,0.314073,0.343764,0.372793,0.401142,0.428791,0.455724,0.481927,0.507385,0.532088,0.556026,0.57919,0.601575,0.623175,0.643988,0.664013,0.683251,0.701704,0.719376,0.736273,0.752403,0.767773,0.782396,0.796281,0.809444,0.821897,0.833656,0.844737,0.855158,0.864937,0.874092,0.882641,0.890605,0.898002,0.904852,0.911175,0.916988,0.922311,0.927161,0.931556,0.935511,0.939043,0.942166,0.944892,0.947234,0.949201,0.950803,0.952046,0.952936,0.953476,0.953667,0.95351,0.953002,0.952138,0.95091,0.94931,0.947325,0.94494,0.942139,0.9389,0.935202,0.931019,0.92632,0.921074,0.915246,0.908796,0.901682,0.89386,0.885279,0.875888,0.86563,0.854446,0.842275,0.829052,0.814709,0.799175,0.782381,0.764252,0.744717,0.723702,0.701135,0.676949,0.651077,0.62346,0.594043,0.562782,0.529639,0.494592,0.45763,0.418757,0.377993,0.335374,0.290959,0.24482,0.197048,0.147749,0.0970447,0.0450625,-0.00806018,-0.0621888,-0.117191,-0.172944,-0.22934},
{-2.94095,-2.9116,-2.88223,-2.85283,-2.82341,-2.79395,-2.76447,-2.73496,-2.70542,-2.67584,-2.64622,-2.61657,-2.58688,-2.55714,-2.52737,-2.49754,-2.46767,-2.43774,-2.40777,-2.37773,-2.34764,-2.31749,-2.28727,-2.25698,-2.22662,-2.19619,-2.16568,-2.13509,-2.10441,-2.07365,-2.04279,-2.01184,-1.98078,-1.94962,-1.91835,-1.88697,-1.85547,-1.82385,-1.7921,-1.76022,-1.7282,-1.69604,-1.66374,-1.63128,-1.59867,-1.56591,-1.53297,-1.49987,-1.4666,-1.43315,-1.39952,-1.36571,-1.33171,-1.29752,-1.26314,-1.22857,-1.1938,-1.15883,-1.12366,-1.0883,-1.05274,-1.01699,-0.981049,-0.944917,-0.908602,-0.87211,-0.835448,-0.798624,-0.761647,-0.724529,-0.687282,-0.649919,-0.612456,-0.57491,-0.537299,-0.499644,-0.461964,-0.424285,-0.386628,-0.349021,-0.31149,-0.274063,-0.236769,-0.199637,-0.1627,-0.125987,-0.089531,-0.0533637,-0.0175174,0.0179757,0.0530836,0.0877745,0.122017,0.155781,0.189037,0.221755,0.253908,0.28547,0.316414,0.346716,0.376355,0.405309,0.433558,0.461085,0.487873,0.513908,0.539177,0.56367,0.587376,0.61029,0.632406,0.653719,0.674229,0.693936,0.712842,0.730949,0.748265,0.764795,0.78055,0.795538,0.809772,0.823264,0.83603,0.848085,0.859445,0.870128,0.880151,0.889535,0.898297,0.906457,0.914036,0.921054,0.927528,0.93348,0.938927,0.943889,0.948382,0.952423,0.956029,0.959213,0.961989,0.964368,0.966362,0.967979,0.969226,0.970108,0.97063,0.970792,0.970594,0.970033,0.969105,0.967801,0.966113,0.964027,0.961529,0.9586,0.955222,0.951369,0.947015,0.942132,0.936685,0.930639,0.923954,0.916588,0.908495,0.899624,0.889923,0.879335,0.867802,0.855261,0.841646,0.82689,0.810922,0.793673,0.77507,0.75504,0.733511,0.710414,0.685681,0.659248,0.631057,0.601058,0.569206,0.535471,0.49983,0.462278,0.422822,0.381487,0.338314,0.293364,0.246714,0.198458,0.148705,0.0975791,0.0452084,-0.00826905,-0.0627198,-0.118013,-0.174029,-0.230664},
{-2.95554,-2.92619,-2.89682,-2.86742,-2.83799,-2.80854,-2.77906,-2.74954,-2.72,-2.69042,-2.6608,-2.63115,-2.60145,-2.57172,-2.54193,-2.51211,-2.48223,-2.4523,-2.42232,-2.39228,-2.36219,-2.33203,-2.3018,-2.27151,-2.24114,-2.2107,-2.18019,-2.14958,-2.1189,-2.08812,-2.05725,-2.02629,-1.99522,-1.96404,-1.93275,-1.90135,-1.86983,-1.83819,-1.80641,-1.77451,-1.74246,-1.71027,-1.67793,-1.64544,-1.61279,-1.57998,-1.547,-1.51385,-1.48052,-1.44702,-1.41332,-1.37944,-1.34537,-1.3111,-1.27663,-1.24197,-1.2071,-1.17202,-1.13674,-1.10126,-1.06557,-1.02967,-0.993581,-0.957288,-0.920802,-0.884127,-0.84727,-0.810238,-0.773041,-0.735688,-0.698192,-0.660566,-0.622825,-0.584985,-0.547064,-0.509081,-0.471058,-0.433017,-0.394982,-0.356979,-0.319035,-0.281177,-0.243434,-0.205838,-0.168419,-0.131209,-0.0942405,-0.0575459,-0.0211586,0.0148882,0.0505616,0.0858286,0.120657,0.155014,0.18887,0.222194,0.254957,0.28713,0.318687,0.349602,0.379851,0.409412,0.438264,0.466386,0.493763,0.520378,0.546217,0.571269,0.595522,0.61897,0.641606,0.663425,0.684425,0.704606,0.72397,0.742518,0.760258,0.777194,0.793337,0.808696,0.823283,0.837111,0.850195,0.86255,0.874192,0.885141,0.895413,0.905029,0.914007,0.922369,0.930133,0.93732,0.94395,0.950042,0.955617,0.960692,0.965286,0.969416,0.973097,0.976344,0.979171,0.98159,0.983612,0.985246,0.986498,0.987375,0.98788,0.988014,0.987777,0.987166,0.986176,0.984799,0.983025,0.980842,0.978233,0.975182,0.971667,0.967664,0.963146,0.958083,0.952442,0.946186,0.939274,0.931665,0.923311,0.914162,0.904164,0.893261,0.881394,0.868499,0.854511,0.839363,0.822985,0.805306,0.786255,0.765759,0.743748,0.720153,0.694908,0.667952,0.639227,0.608686,0.576288,0.542003,0.505815,0.46772,0.427729,0.385871,0.34219,0.296751,0.249634,0.200937,0.15077,0.0992602,0.0465355,-0.0072659,-0.0620113,-0.117572,-0.17383,-0.230686},
{-2.96992,-2.94057,-2.9112,-2.8818,-2.85237,-2.82292,-2.79344,-2.76392,-2.73437,-2.70479,-2.67517,-2.64552,-2.61582,-2.58608,-2.5563,-2.52647,-2.49659,-2.46666,-2.43667,-2.40663,-2.37653,-2.34636,-2.31613,-2.28583,-2.25546,-2.22502,-2.19449,-2.16388,-2.13318,-2.1024,-2.07152,-2.04054,-2.00945,-1.97826,-1.94696,-1.91554,-1.884,-1.85234,-1.82054,-1.78861,-1.75653,-1.72431,-1.69194,-1.65942,-1.62673,-1.59388,-1.56085,-1.52766,-1.49428,-1.46071,-1.42696,-1.39301,-1.35887,-1.32452,-1.28997,-1.25521,-1.22025,-1.18507,-1.14968,-1.11408,-1.07826,-1.04223,-1.00599,-0.969542,-0.932889,-0.896036,-0.85899,-0.821756,-0.784344,-0.746764,-0.709026,-0.671143,-0.63313,-0.595003,-0.556778,-0.518476,-0.480117,-0.441722,-0.403316,-0.364925,-0.326575,-0.288294,-0.250111,-0.212057,-0.174164,-0.136463,-0.0989884,-0.0617728,-0.0248503,0.0117449,0.0479788,0.0838174,0.119227,0.154175,0.188628,0.222555,0.255926,0.288709,0.320879,0.352406,0.383266,0.413435,0.44289,0.471611,0.499578,0.526775,0.553187,0.578801,0.603605,0.62759,0.650749,0.673078,0.694572,0.715231,0.735056,0.754049,0.772216,0.789562,0.806097,0.82183,0.836772,0.850938,0.864341,0.876998,0.888925,0.90014,0.910662,0.92051,0.929704,0.938264,0.946212,0.953567,0.960349,0.96658,0.972277,0.977462,0.98215,0.986361,0.99011,0.993412,0.996282,0.99873,1.00077,1.00241,1.00365,1.00451,1.00498,1.00507,1.00477,1.00409,1.00301,1.00154,0.999649,0.997337,0.994586,0.991377,0.987687,0.983492,0.978766,0.973476,0.967589,0.961067,0.95387,0.945954,0.937272,0.927771,0.9174,0.906099,0.89381,0.880469,0.86601,0.850366,0.833468,0.815244,0.795624,0.774537,0.751913,0.727685,0.701788,0.674164,0.644758,0.613526,0.58043,0.545444,0.508557,0.469768,0.429095,0.386571,0.342245,0.296187,0.248481,0.19923,0.148547,0.096561,0.0434011,-0.0107944,-0.0658947,-0.121774,-0.178318,-0.235431},
{-2.98411,-2.95475,-2.92538,-2.89598,-2.86655,-2.8371,-2.80761,-2.7781,-2.74855,-2.71896,-2.68934,-2.65969,-2.62999,-2.60025,-2.57046,-2.54063,-2.51075,-2.48081,-2.45082,-2.42078,-2.39067,-2.3605,-2.33027,-2.29996,-2.26959,-2.23913,-2.2086,-2.17798,-2.14728,-2.11648,-2.08559,-2.0546,-2.0235,-1.9923,-1.96098,-1.92954,-1.89799,-1.8663,-1.83448,-1.80252,-1.77043,-1.73818,-1.70578,-1.67322,-1.6405,-1.6076,-1.57454,-1.54129,-1.50786,-1.47424,-1.44043,-1.40642,-1.37221,-1.33779,-1.30316,-1.26831,-1.23326,-1.19798,-1.16248,-1.12676,-1.09082,-1.05466,-1.01828,-0.98168,-0.944866,-0.90784,-0.870609,-0.83318,-0.795559,-0.757756,-0.719782,-0.681649,-0.643371,-0.604963,-0.566442,-0.527827,-0.489138,-0.450397,-0.411627,-0.372855,-0.334106,-0.295408,-0.256792,-0.218287,-0.179926,-0.141742,-0.103767,-0.0660358,-0.0285835,0.00855525,0.0453453,0.0817516,0.117739,0.153274,0.188323,0.222852,0.256829,0.290223,0.323004,0.355145,0.386617,0.417395,0.447456,0.476777,0.505339,0.533122,0.560111,0.586291,0.61165,0.636178,0.659866,0.682709,0.704703,0.725846,0.746138,0.765582,0.784182,0.801944,0.818877,0.834989,0.850294,0.864803,0.878532,0.891497,0.903713,0.915201,0.925977,0.936063,0.945479,0.954244,0.962381,0.969909,0.97685,0.983224,0.98905,0.994349,0.999139,1.00344,1.00726,1.01063,1.01354,1.01603,1.01809,1.01974,1.02099,1.02183,1.02228,1.02234,1.02199,1.02125,1.02011,1.01855,1.01656,1.01415,1.01127,1.00793,1.00409,0.999729,0.994823,0.989339,0.983241,0.976493,0.969052,0.960875,0.951912,0.942115,0.931426,0.919791,0.907146,0.893431,0.878579,0.862522,0.845192,0.826518,0.806429,0.784857,0.761731,0.736987,0.710562,0.682397,0.652443,0.620655,0.587001,0.551457,0.514014,0.474676,0.433464,0.390415,0.345581,0.299037,0.250869,0.201183,0.150094,0.0977317,0.0442271,-0.0102831,-0.0656689,-0.121807,-0.178586,-0.235913},
{-2.99809,-2.96874,-2.93936,-2.90996,-2.88053,-2.85108,-2.82159,-2.79208,-2.76253,-2.73294,-2.70332,-2.67366,-2.64396,-2.61422,-2.58443,-2.5546,-2.52471,-2.49477,-2.46478,-2.43473,-2.40462,-2.37445,-2.34421,-2.3139,-2.28352,-2.25306,-2.22252,-2.19189,-2.16118,-2.13038,-2.09947,-2.06847,-2.03736,-2.00615,-1.97482,-1.94336,-1.91179,-1.88008,-1.84824,-1.81627,-1.78414,-1.75187,-1.71944,-1.68685,-1.65409,-1.62116,-1.58805,-1.55476,-1.52129,-1.48762,-1.45375,-1.41968,-1.3854,-1.35091,-1.3162,-1.28127,-1.24613,-1.21075,-1.17515,-1.13932,-1.10326,-1.06697,-1.03045,-0.993708,-0.956737,-0.919544,-0.882134,-0.844513,-0.806689,-0.76867,-0.730466,-0.692089,-0.653552,-0.61487,-0.576059,-0.537138,-0.498127,-0.459046,-0.419921,-0.380774,-0.341634,-0.302528,-0.263485,-0.224537,-0.185715,-0.147053,-0.108584,-0.0703439,-0.0323675,0.00530926,0.0426504,0.0796199,0.116182,0.1523,0.187941,0.223069,0.25765,0.291653,0.325046,0.357799,0.389884,0.421272,0.45194,0.481864,0.511021,0.539393,0.566962,0.593711,0.619629,0.644702,0.668924,0.692285,0.714782,0.736413,0.757177,0.777075,0.796112,0.814294,0.831627,0.848123,0.863793,0.878649,0.892706,0.90598,0.918489,0.93025,0.941283,0.951608,0.961245,0.970216,0.978541,0.986242,0.993339,0.999854,1.00581,1.01122,1.0161,1.02049,1.02438,1.0278,1.03076,1.03328,1.03536,1.03701,1.03825,1.03907,1.03948,1.03949,1.03909,1.03827,1.03704,1.03537,1.03328,1.03073,1.02771,1.0242,1.02018,1.01563,1.01052,1.0048,0.998459,0.991444,0.983718,0.975235,0.965946,0.955801,0.944743,0.932715,0.919657,0.905505,0.890193,0.873654,0.855818,0.836618,0.815982,0.793841,0.770129,0.744782,0.717737,0.688941,0.658344,0.625907,0.5916,0.555402,0.51731,0.477331,0.435491,0.391831,0.346408,0.299301,0.2506,0.200414,0.148861,0.0960715,0.0421774,-0.0126854,-0.0683885,-0.124813,-0.18185,-0.23941},
{-3.01188,-2.98253,-2.95316,-2.92375,-2.89433,-2.86487,-2.83538,-2.80587,-2.77631,-2.74673,-2.71711,-2.68745,-2.65774,-2.628,-2.59821,-2.56837,-2.53849,-2.50855,-2.47855,-2.4485,-2.41839,-2.38821,-2.35797,-2.32765,-2.29727,-2.2668,-2.23625,-2.20562,-2.1749,-2.14409,-2.11318,-2.08217,-2.05105,-2.01982,-1.98847,-1.95701,-1.92542,-1.89369,-1.86184,-1.82984,-1.79769,-1.76539,-1.73293,-1.70031,-1.66752,-1.63456,-1.60141,-1.56808,-1.53456,-1.50083,-1.46691,-1.43278,-1.39844,-1.36388,-1.3291,-1.29409,-1.25886,-1.22339,-1.18769,-1.15176,-1.11558,-1.07917,-1.04252,-1.00563,-0.968505,-0.931149,-0.893565,-0.855759,-0.817737,-0.779507,-0.741079,-0.702464,-0.663674,-0.624724,-0.58563,-0.54641,-0.507083,-0.467671,-0.428195,-0.388682,-0.349157,-0.309649,-0.270187,-0.230802,-0.191526,-0.152392,-0.113436,-0.0746927,-0.0361978,0.00201192,0.0398995,0.0774278,0.11456,0.151259,0.187489,0.223214,0.258398,0.293009,0.327013,0.360379,0.393076,0.425076,0.456353,0.486881,0.516637,0.545601,0.573752,0.601075,0.627555,0.653179,0.677938,0.701823,0.724829,0.746952,0.768192,0.78855,0.80803,0.826636,0.844377,0.861261,0.877301,0.892508,0.906899,0.920488,0.933293,0.945333,0.956627,0.967195,0.977058,0.986237,0.994755,1.00263,1.00989,1.01655,1.02263,1.02816,1.03314,1.03761,1.04158,1.04506,1.04806,1.05061,1.05271,1.05437,1.0556,1.05641,1.05679,1.05675,1.0563,1.05541,1.05409,1.05234,1.05013,1.04746,1.0443,1.04064,1.03646,1.03172,1.02641,1.02048,1.0139,1.00664,0.998647,0.989878,0.980284,0.969814,0.958412,0.946021,0.932579,0.918022,0.902286,0.885304,0.867005,0.847322,0.826186,0.803528,0.779283,0.753388,0.725784,0.696418,0.665244,0.632225,0.597333,0.560552,0.521882,0.481334,0.438937,0.394736,0.348794,0.30119,0.25202,0.201394,0.149432,0.0962661,0.042028,-0.0131471,-0.0691328,-0.125813,-0.183083,-0.240855},
{-3.02549,-2.99614,-2.96676,-2.93736,-2.90793,-2.87847,-2.84899,-2.81947,-2.78992,-2.76033,-2.73071,-2.70105,-2.67134,-2.6416,-2.61181,-2.58197,-2.55208,-2.52214,-2.49214,-2.46209,-2.43197,-2.40179,-2.37154,-2.34123,-2.31083,-2.28036,-2.24981,-2.21917,-2.18845,-2.15763,-2.12671,-2.09568,-2.06456,-2.03332,-2.00196,-1.97048,-1.93887,-1.90713,-1.87526,-1.84324,-1.81107,-1.77875,-1.74626,-1.71361,-1.68079,-1.64779,-1.61461,-1.58124,-1.54767,-1.5139,-1.47993,-1.44574,-1.41134,-1.37672,-1.34186,-1.30678,-1.27146,-1.23591,-1.20011,-1.16407,-1.12779,-1.09125,-1.05447,-1.01745,-0.980174,-0.94266,-0.904907,-0.86692,-0.828706,-0.790271,-0.751624,-0.712777,-0.673741,-0.63453,-0.595159,-0.555647,-0.516011,-0.476273,-0.436455,-0.396582,-0.35668,-0.316776,-0.276902,-0.237086,-0.197363,-0.157765,-0.118328,-0.079087,-0.0400793,-0.00134211,0.0370868,0.0751695,0.112868,0.150144,0.18696,0.223279,0.259064,0.294281,0.328895,0.362873,0.396184,0.428796,0.460683,0.491817,0.522173,0.551731,0.580468,0.608368,0.635414,0.661592,0.686892,0.711304,0.734823,0.757444,0.779165,0.799987,0.819914,0.838949,0.857101,0.874378,0.890791,0.906354,0.921081,0.934989,0.948094,0.960415,0.971972,0.982785,0.992876,1.00227,1.01098,1.01903,1.02645,1.03325,1.03947,1.04511,1.05019,1.05475,1.05878,1.06232,1.06537,1.06795,1.07006,1.07173,1.07295,1.07373,1.07408,1.07399,1.07347,1.07251,1.0711,1.06924,1.06692,1.06411,1.06081,1.05699,1.05263,1.0477,1.04217,1.03601,1.02919,1.02166,1.01338,1.00431,0.994397,0.983585,0.97182,0.959046,0.9452,0.930219,0.914038,0.896589,0.877805,0.857617,0.835957,0.812759,0.787957,0.761491,0.733304,0.703345,0.67157,0.637946,0.602448,0.565064,0.525795,0.48466,0.441689,0.396932,0.350456,0.302343,0.252693,0.201618,0.149241,0.0956931,0.0411072,-0.014383,-0.0706541,-0.12759,-0.185093,-0.243078},
{-3.03892,-3.00956,-2.98019,-2.95079,-2.92136,-2.8919,-2.86241,-2.83289,-2.80334,-2.77375,-2.74413,-2.71447,-2.68476,-2.65502,-2.62523,-2.59539,-2.5655,-2.53555,-2.50555,-2.4755,-2.44538,-2.41519,-2.38494,-2.35462,-2.32423,-2.29375,-2.26319,-2.23255,-2.20182,-2.17099,-2.14006,-2.10903,-2.07789,-2.04664,-2.01527,-1.98378,-1.95216,-1.92041,-1.88852,-1.85648,-1.82429,-1.79194,-1.75944,-1.72676,-1.69391,-1.66088,-1.62766,-1.59425,-1.56064,-1.52683,-1.4928,-1.45856,-1.4241,-1.38942,-1.3545,-1.31934,-1.28394,-1.2483,-1.21241,-1.17627,-1.13988,-1.10323,-1.06632,-1.02916,-0.991747,-0.95408,-0.916163,-0.878001,-0.839599,-0.800964,-0.762105,-0.723031,-0.683755,-0.644288,-0.604648,-0.564849,-0.524911,-0.484854,-0.4447,-0.404474,-0.364201,-0.32391,-0.28363,-0.243391,-0.203227,-0.163171,-0.123259,-0.0835264,-0.0440117,-0.00475225,0.0342132,0.0728456,0.111106,0.148955,0.186354,0.223265,0.25965,0.295471,0.330695,0.365284,0.399208,0.432433,0.464931,0.496672,0.527632,0.557786,0.587113,0.615592,0.643207,0.669944,0.695789,0.720734,0.74477,0.767892,0.7901,0.811391,0.831769,0.851238,0.869806,0.88748,0.904272,0.920195,0.935264,0.949494,0.962902,0.975509,0.987333,0.998395,1.00872,1.01832,1.02723,1.03546,1.04304,1.05,1.05634,1.0621,1.06729,1.07193,1.07603,1.07963,1.08272,1.08533,1.08747,1.08913,1.09035,1.09111,1.09142,1.09128,1.0907,1.08966,1.08817,1.08621,1.08376,1.08083,1.07738,1.0734,1.06886,1.06374,1.05801,1.05162,1.04456,1.03677,1.02822,1.01885,1.00862,0.997477,0.985361,0.972215,0.957978,0.942586,0.925975,0.908079,0.888828,0.868156,0.845995,0.82228,0.796948,0.769939,0.741198,0.710676,0.678334,0.644139,0.608069,0.570118,0.530288,0.488602,0.445095,0.399819,0.352845,0.30426,0.254164,0.202672,0.14991,0.0960069,0.0410986,-0.0146856,-0.0712222,-0.128399,-0.186121,-0.244308},
{-3.05217,-3.02281,-2.99344,-2.96404,-2.93461,-2.90515,-2.87566,-2.84614,-2.81659,-2.787,-2.75738,-2.72771,-2.69801,-2.66826,-2.63847,-2.60863,-2.57874,-2.54879,-2.51879,-2.48873,-2.45861,-2.42843,-2.39817,-2.36785,-2.33745,-2.30697,-2.27641,-2.24576,-2.21502,-2.18419,-2.15325,-2.12221,-2.09107,-2.05981,-2.02843,-1.99692,-1.96529,-1.93352,-1.90161,-1.86956,-1.83735,-1.80498,-1.77245,-1.73975,-1.70687,-1.67381,-1.64056,-1.60712,-1.57347,-1.53961,-1.50554,-1.47125,-1.43673,-1.40198,-1.367,-1.33177,-1.2963,-1.26057,-1.22459,-1.18836,-1.15186,-1.1151,-1.07807,-1.04078,-1.00323,-0.965413,-0.927337,-0.889004,-0.85042,-0.811591,-0.772525,-0.733231,-0.69372,-0.654005,-0.6141,-0.574021,-0.533788,-0.493419,-0.452936,-0.412364,-0.371728,-0.331056,-0.290376,-0.249721,-0.209123,-0.168616,-0.128235,-0.0880182,-0.0480024,-0.00822654,0.0312699,0.0704471,0.109265,0.147683,0.185662,0.223161,0.260142,0.296566,0.332397,0.367597,0.402133,0.435971,0.46908,0.50143,0.532994,0.563747,0.593664,0.622726,0.650913,0.678211,0.704605,0.730084,0.754641,0.778269,0.800965,0.822729,0.843562,0.863469,0.882455,0.90053,0.917703,0.933989,0.949401,0.963955,0.977669,0.990562,1.00265,1.01397,1.02452,1.03434,1.04344,1.05185,1.05959,1.06669,1.07316,1.07903,1.08432,1.08904,1.09321,1.09686,1.09999,1.10262,1.10476,1.10642,1.10761,1.10834,1.1086,1.1084,1.10774,1.10661,1.10501,1.10292,1.10034,1.09725,1.09363,1.08946,1.08472,1.07938,1.0734,1.06676,1.05941,1.05133,1.04245,1.03274,1.02215,1.01062,0.998095,0.984519,0.96983,0.953964,0.936856,0.918441,0.89865,0.877417,0.854677,0.830364,0.804417,0.776779,0.747397,0.716224,0.683224,0.648368,0.611638,0.57303,0.532553,0.490231,0.446106,0.400234,0.35269,0.303565,0.252962,0.200998,0.147802,0.0935029,0.0382356,-0.0178719,-0.0746994,-0.132138,-0.190097,-0.2485},
{-3.06524,-3.03589,-3.00652,-2.97711,-2.94768,-2.91823,-2.88874,-2.85922,-2.82967,-2.80008,-2.77046,-2.74079,-2.71109,-2.68134,-2.65154,-2.6217,-2.59181,-2.56186,-2.53186,-2.5018,-2.47168,-2.44149,-2.41124,-2.38091,-2.3505,-2.32002,-2.28946,-2.2588,-2.22806,-2.19722,-2.16628,-2.13524,-2.10408,-2.07281,-2.04142,-2.00991,-1.97826,-1.94648,-1.91456,-1.88249,-1.85026,-1.81787,-1.78532,-1.7526,-1.71969,-1.6866,-1.65332,-1.61984,-1.58615,-1.55226,-1.51814,-1.4838,-1.44923,-1.41443,-1.37938,-1.34408,-1.30854,-1.27273,-1.23667,-1.20034,-1.16374,-1.12687,-1.08973,-1.05231,-1.01462,-0.976662,-0.938431,-0.899933,-0.861171,-0.822153,-0.782885,-0.743376,-0.703636,-0.663678,-0.623515,-0.583163,-0.54264,-0.501966,-0.461161,-0.420249,-0.379256,-0.33821,-0.297138,-0.256073,-0.215047,-0.174095,-0.133252,-0.0925558,-0.0520444,-0.0117573,0.0282654,0.0679829,0.107354,0.146338,0.184893,0.222978,0.260553,0.297579,0.334016,0.369827,0.404975,0.439427,0.473149,0.506109,0.53828,0.569633,0.600144,0.629792,0.658556,0.686419,0.713366,0.739385,0.764468,0.788607,0.811798,0.83404,0.855334,0.875684,0.895095,0.913576,0.931137,0.947791,0.963552,0.978436,0.992462,1.00565,1.01801,1.02958,1.04037,1.0504,1.05971,1.0683,1.07621,1.08346,1.09007,1.09606,1.10144,1.10625,1.1105,1.1142,1.11738,1.12004,1.1222,1.12386,1.12504,1.12574,1.12597,1.12572,1.12499,1.12378,1.12209,1.11989,1.11719,1.11397,1.1102,1.10586,1.10094,1.0954,1.08921,1.08234,1.07476,1.06641,1.05725,1.04725,1.03634,1.02448,1.0116,0.997657,0.982581,0.966311,0.948781,0.929925,0.909678,0.887974,0.864747,0.839934,0.813475,0.785315,0.755402,0.723693,0.690152,0.654755,0.617485,0.578342,0.537339,0.494503,0.449878,0.403524,0.355521,0.305959,0.254946,0.202601,0.149052,0.0944291,0.0388668,-0.0175091,-0.0745802,-0.13224,-0.190403,-0.248994},
{-3.07816,-3.0488,-3.01943,-2.99003,-2.9606,-2.93114,-2.90165,-2.87213,-2.84258,-2.81299,-2.78337,-2.7537,-2.724,-2.69425,-2.66445,-2.63461,-2.60472,-2.57477,-2.54477,-2.51471,-2.48458,-2.45439,-2.42414,-2.39381,-2.3634,-2.33291,-2.30234,-2.27169,-2.24094,-2.2101,-2.17915,-2.1481,-2.11694,-2.08566,-2.05426,-2.02274,-1.99108,-1.95929,-1.92735,-1.89526,-1.86302,-1.83062,-1.79804,-1.7653,-1.73237,-1.69925,-1.66594,-1.63243,-1.59871,-1.56477,-1.53061,-1.49623,-1.46161,-1.42674,-1.39164,-1.35628,-1.32066,-1.28478,-1.24863,-1.21221,-1.17551,-1.13854,-1.10129,-1.06375,-1.02593,-0.987831,-0.94945,-0.91079,-0.871857,-0.832655,-0.793191,-0.753472,-0.713509,-0.673314,-0.632899,-0.592281,-0.551475,-0.510501,-0.46938,-0.428136,-0.386793,-0.345379,-0.303922,-0.262454,-0.221007,-0.179617,-0.138318,-0.0971486,-0.0561478,-0.0153552,0.0251882,0.0654409,0.105361,0.144906,0.184033,0.222701,0.260868,0.298492,0.335534,0.371954,0.407715,0.442779,0.477114,0.510686,0.543463,0.575419,0.606527,0.636763,0.666105,0.694536,0.72204,0.748603,0.774215,0.798868,0.822558,0.845282,0.867041,0.887837,0.907676,0.926567,0.944519,0.961544,0.977657,0.992875,1.00721,1.02069,1.03333,1.04516,1.05618,1.06644,1.07595,1.08472,1.0928,1.1002,1.10694,1.11304,1.11853,1.12342,1.12774,1.1315,1.13471,1.1374,1.13956,1.14123,1.14239,1.14305,1.14323,1.14292,1.14212,1.14082,1.13902,1.13671,1.13387,1.1305,1.12656,1.12205,1.11692,1.11117,1.10475,1.09763,1.08978,1.08114,1.07168,1.06135,1.0501,1.03788,1.02462,1.01028,0.99478,0.978069,0.96008,0.940747,0.920005,0.897788,0.874033,0.848678,0.821664,0.792938,0.76245,0.730159,0.696034,0.66005,0.622198,0.582478,0.540907,0.497516,0.452354,0.405484,0.356988,0.30696,0.255511,0.202761,0.148839,0.0938756,0.0380041,-0.0186516,-0.0759759,-0.133866,-0.192239,-0.251024},
{-3.0909,-3.06155,-3.03218,-3.00277,-2.97335,-2.94389,-2.9144,-2.88488,-2.85533,-2.82574,-2.79612,-2.76645,-2.73675,-2.707,-2.6772,-2.64736,-2.61747,-2.58752,-2.55752,-2.52745,-2.49733,-2.46714,-2.43688,-2.40655,-2.37614,-2.34565,-2.31508,-2.28442,-2.25366,-2.22282,-2.19187,-2.16081,-2.12964,-2.09836,-2.06695,-2.03542,-2.00375,-1.97195,-1.94,-1.9079,-1.87564,-1.84322,-1.81063,-1.77786,-1.74491,-1.71176,-1.67842,-1.64488,-1.61113,-1.57715,-1.54295,-1.50852,-1.47386,-1.43894,-1.40378,-1.36836,-1.33267,-1.29672,-1.26049,-1.22398,-1.18719,-1.15012,-1.11276,-1.0751,-1.03716,-0.998922,-0.960396,-0.92158,-0.88248,-0.843099,-0.803443,-0.763521,-0.723341,-0.682914,-0.642254,-0.601374,-0.560292,-0.519025,-0.477595,-0.436025,-0.394339,-0.352563,-0.310728,-0.268863,-0.227002,-0.185179,-0.143431,-0.101795,-0.0603103,-0.0190178,0.0220411,0.0628242,0.103289,0.143391,0.183087,0.222335,0.26109,0.299311,0.336956,0.373984,0.410356,0.446034,0.480982,0.515166,0.548553,0.581114,0.61282,0.643647,0.673572,0.702575,0.730639,0.757749,0.783895,0.809067,0.83326,0.856471,0.878699,0.899947,0.92022,0.939525,0.957873,0.975275,0.991745,1.0073,1.02196,1.03574,1.04866,1.06074,1.07201,1.08249,1.0922,1.10116,1.10941,1.11696,1.12384,1.13006,1.13565,1.14063,1.14502,1.14884,1.15209,1.15481,1.15699,1.15865,1.1598,1.16043,1.16057,1.1602,1.15933,1.15795,1.15605,1.15362,1.15066,1.14714,1.14305,1.13836,1.13305,1.12709,1.12046,1.1131,1.10499,1.09609,1.08634,1.07571,1.06414,1.05158,1.03796,1.02324,1.00736,0.990238,0.971824,0.952051,0.930853,0.908166,0.883928,0.858077,0.830557,0.801315,0.770306,0.737489,0.702835,0.666324,0.627947,0.587709,0.545629,0.501743,0.456101,0.40877,0.359834,0.309392,0.257554,0.204442,0.150187,0.0949186,0.0387689,-0.0181398,-0.0756944,-0.133795,-0.192361,-0.251327},
{-3.10349,-3.07414,-3.04477,-3.01536,-2.98594,-2.95648,-2.92699,-2.89747,-2.86792,-2.83833,-2.80871,-2.77905,-2.74934,-2.71959,-2.6898,-2.65995,-2.63006,-2.60011,-2.57011,-2.54004,-2.50992,-2.47973,-2.44946,-2.41913,-2.38872,-2.35823,-2.32766,-2.29699,-2.26624,-2.23539,-2.20443,-2.17337,-2.1422,-2.11091,-2.07949,-2.04795,-2.01628,-1.98446,-1.9525,-1.92039,-1.88812,-1.85568,-1.82307,-1.79028,-1.75731,-1.72414,-1.69078,-1.65721,-1.62342,-1.58941,-1.55518,-1.5207,-1.48599,-1.45103,-1.41581,-1.38033,-1.34458,-1.30855,-1.27225,-1.23566,-1.19878,-1.16161,-1.12414,-1.08637,-1.04831,-1.00994,-0.971273,-0.932307,-0.893044,-0.85349,-0.813649,-0.773528,-0.733137,-0.692485,-0.651584,-0.61045,-0.569097,-0.527545,-0.485812,-0.443923,-0.4019,-0.35977,-0.317563,-0.275309,-0.233041,-0.190792,-0.148601,-0.106505,-0.0645428,-0.0227565,0.0188122,0.0601201,0.101124,0.141778,0.182039,0.221862,0.261203,0.300018,0.338263,0.375898,0.41288,0.44917,0.484731,0.519527,0.553523,0.586689,0.618995,0.650415,0.680923,0.7105,0.739127,0.766788,0.79347,0.819164,0.843863,0.867563,0.890263,0.911965,0.932674,0.952397,0.971142,0.988922,1.00575,1.02164,1.03662,1.0507,1.0639,1.07624,1.08775,1.09845,1.10837,1.11752,1.12593,1.13363,1.14064,1.14697,1.15266,1.15773,1.16218,1.16605,1.16934,1.17207,1.17425,1.1759,1.17702,1.17761,1.17769,1.17725,1.17629,1.1748,1.17278,1.17022,1.16711,1.16342,1.15914,1.15425,1.14873,1.14253,1.13564,1.12801,1.1196,1.11039,1.10031,1.08933,1.07738,1.06443,1.0504,1.03525,1.01891,1.00132,0.982409,0.962123,0.940395,0.917161,0.892359,0.865931,0.837822,0.80798,0.776362,0.742931,0.707661,0.670533,0.631544,0.590703,0.548031,0.503568,0.45737,0.409505,0.360062,0.309143,0.25686,0.203337,0.148706,0.0930949,0.0366355,-0.0205525,-0.0783591,-0.136688,-0.195464,-0.254623},
{-3.11593,-3.08658,-3.0572,-3.0278,-2.99837,-2.96892,-2.93943,-2.90991,-2.88036,-2.85077,-2.82115,-2.79149,-2.76178,-2.73203,-2.70224,-2.67239,-2.6425,-2.61255,-2.58255,-2.55248,-2.52236,-2.49216,-2.4619,-2.43157,-2.40116,-2.37066,-2.34009,-2.30942,-2.27867,-2.24781,-2.21685,-2.18578,-2.15461,-2.12331,-2.09189,-2.06034,-2.02866,-1.99684,-1.96486,-1.93274,-1.90046,-1.868,-1.83538,-1.80257,-1.76958,-1.73639,-1.703,-1.6694,-1.63559,-1.60155,-1.56728,-1.53277,-1.49801,-1.463,-1.42773,-1.39219,-1.35638,-1.32028,-1.28391,-1.24724,-1.21027,-1.17301,-1.13544,-1.09757,-1.05938,-1.02089,-0.982086,-0.942973,-0.903553,-0.86383,-0.823809,-0.783495,-0.742898,-0.702026,-0.660892,-0.619509,-0.577893,-0.536061,-0.494032,-0.45183,-0.409477,-0.367,-0.324428,-0.281791,-0.239122,-0.196455,-0.153828,-0.111277,-0.0688443,-0.0265701,0.0155026,0.05733,0.0988675,0.14007,0.180891,0.221286,0.261209,0.300615,0.339459,0.377697,0.415288,0.45219,0.488363,0.523771,0.558378,0.592151,0.625058,0.657072,0.688167,0.71832,0.747512,0.775726,0.802948,0.829167,0.854376,0.878569,0.901746,0.923906,0.945054,0.965197,0.984344,1.00251,1.0197,1.03593,1.05123,1.06561,1.07909,1.0917,1.10345,1.11438,1.12449,1.13383,1.14241,1.15026,1.1574,1.16385,1.16964,1.17478,1.1793,1.18321,1.18653,1.18928,1.19146,1.19309,1.19418,1.19473,1.19474,1.19422,1.19317,1.19157,1.18943,1.18672,1.18345,1.17959,1.17512,1.17002,1.16427,1.15783,1.15067,1.14276,1.13405,1.12451,1.1141,1.10275,1.09043,1.07707,1.06262,1.04703,1.03022,1.01215,0.992743,0.971938,0.949672,0.925884,0.900513,0.873502,0.844797,0.81435,0.78212,0.748072,0.712183,0.674439,0.634838,0.593393,0.550131,0.505095,0.458343,0.409949,0.360005,0.308615,0.255894,0.201967,0.146966,0.0910198,0.0342572,-0.023204,-0.0812572,-0.13981,-0.198791,-0.258141},
{-3.12821,-3.09886,-3.06949,-3.04009,-3.01066,-2.9812,-2.95172,-2.9222,-2.89265,-2.86306,-2.83344,-2.80378,-2.77407,-2.74432,-2.71453,-2.68469,-2.65479,-2.62484,-2.59484,-2.56478,-2.53465,-2.50446,-2.47419,-2.44386,-2.41345,-2.38295,-2.35238,-2.32171,-2.29095,-2.26009,-2.22913,-2.19806,-2.16688,-2.13558,-2.10415,-2.0726,-2.04091,-2.00907,-1.97709,-1.94496,-1.91266,-1.8802,-1.84756,-1.81474,-1.78173,-1.74852,-1.71511,-1.68148,-1.64764,-1.61357,-1.57926,-1.54471,-1.50992,-1.47486,-1.43954,-1.40395,-1.36808,-1.33192,-1.29547,-1.25873,-1.22168,-1.18433,-1.14666,-1.10868,-1.07039,-1.03177,-0.992836,-0.953581,-0.914009,-0.874123,-0.833926,-0.793425,-0.752627,-0.711542,-0.67018,-0.628554,-0.58668,-0.544575,-0.502257,-0.459748,-0.417072,-0.374255,-0.331324,-0.288311,-0.245248,-0.202169,-0.159111,-0.116113,-0.0732151,-0.0304588,0.0121124,0.0544541,0.0965208,0.138266,0.179644,0.220607,0.261109,0.301103,0.340543,0.379384,0.417583,0.455095,0.491882,0.527902,0.56312,0.597501,0.631011,0.663622,0.695306,0.726039,0.7558,0.784571,0.812337,0.839085,0.864808,0.889499,0.913156,0.935779,0.957372,0.97794,0.997493,1.01604,1.0336,1.05018,1.0658,1.08049,1.09426,1.10713,1.11913,1.13028,1.14061,1.15014,1.15889,1.16689,1.17416,1.18073,1.18662,1.19184,1.19643,1.20039,1.20375,1.20651,1.2087,1.21032,1.21138,1.21188,1.21184,1.21124,1.2101,1.2084,1.20614,1.2033,1.19988,1.19585,1.1912,1.1859,1.17993,1.17325,1.16584,1.15767,1.14868,1.13884,1.1281,1.11641,1.10373,1.08999,1.07515,1.05915,1.04191,1.02339,1.00352,0.98223,0.959467,0.935169,0.909274,0.881727,0.852477,0.821478,0.788689,0.75408,0.717629,0.679326,0.639171,0.597182,0.553388,0.507836,0.460587,0.411718,0.361325,0.309513,0.256399,0.202109,0.146777,0.0905285,0.0334919,-0.0242173,-0.0824967,-0.141257,-0.200428,-0.259956},
{-3.14035,-3.111,-3.08163,-3.05223,-3.0228,-2.99334,-2.96386,-2.93434,-2.90479,-2.87521,-2.84558,-2.81592,-2.78622,-2.75647,-2.72667,-2.69683,-2.66694,-2.63699,-2.60699,-2.57692,-2.5468,-2.51661,-2.48634,-2.45601,-2.42559,-2.3951,-2.36452,-2.33385,-2.30309,-2.27223,-2.24127,-2.2102,-2.17901,-2.1477,-2.11628,-2.08472,-2.05302,-2.02118,-1.98919,-1.95705,-1.92474,-1.89226,-1.85961,-1.82678,-1.79375,-1.76052,-1.72709,-1.69344,-1.65957,-1.62547,-1.59113,-1.55655,-1.52171,-1.48662,-1.45125,-1.41561,-1.37968,-1.34346,-1.30695,-1.27013,-1.23301,-1.19557,-1.15781,-1.11973,-1.08132,-1.04259,-1.00353,-0.964135,-0.924416,-0.884371,-0.844004,-0.803321,-0.762328,-0.721035,-0.679451,-0.637589,-0.595463,-0.55309,-0.510489,-0.467681,-0.424688,-0.381537,-0.338254,-0.294872,-0.251421,-0.207937,-0.164455,-0.121016,-0.0776587,-0.0344262,0.00863786,0.0514885,0.0940794,0.136364,0.178294,0.219821,0.260899,0.301478,0.341512,0.380954,0.419759,0.457882,0.49528,0.531914,0.567744,0.602734,0.636849,0.670059,0.702334,0.73365,0.763983,0.793315,0.821628,0.84891,0.875151,0.900345,0.924487,0.947578,0.96962,0.990618,1.01058,1.02952,1.04745,1.06438,1.08034,1.09533,1.10939,1.12254,1.13479,1.14617,1.15671,1.16643,1.17536,1.18351,1.19093,1.19762,1.20361,1.20892,1.21357,1.21759,1.22099,1.22377,1.22597,1.22758,1.22861,1.22908,1.22898,1.22832,1.2271,1.2253,1.22292,1.21996,1.21639,1.21221,1.20738,1.2019,1.19572,1.18883,1.18119,1.17276,1.1635,1.15338,1.14234,1.13034,1.11732,1.10324,1.08803,1.07164,1.05401,1.03508,1.01478,0.993051,0.969835,0.945071,0.9187,0.890668,0.860926,0.829427,0.796136,0.761022,0.724068,0.685264,0.644616,0.602141,0.557874,0.511863,0.464172,0.414883,0.36409,0.311903,0.25844,0.203827,0.148198,0.0916785,0.0343943,-0.0235403,-0.0820263,-0.140977,-0.200325,-0.260019},
{-3.15234,-3.12299,-3.09362,-3.06422,-3.0348,-3.00534,-2.97586,-2.94634,-2.91679,-2.88721,-2.85758,-2.82792,-2.79822,-2.76847,-2.73868,-2.70884,-2.67895,-2.649,-2.619,-2.58893,-2.55881,-2.52861,-2.49835,-2.46802,-2.4376,-2.40711,-2.37653,-2.34586,-2.3151,-2.28424,-2.25327,-2.2222,-2.19101,-2.1597,-2.12827,-2.0967,-2.065,-2.03316,-2.00116,-1.96901,-1.93669,-1.90421,-1.87154,-1.83869,-1.80565,-1.77241,-1.73895,-1.70528,-1.67139,-1.63727,-1.6029,-1.56828,-1.53341,-1.49827,-1.46286,-1.42717,-1.39119,-1.35492,-1.31834,-1.28145,-1.24425,-1.20673,-1.16888,-1.13071,-1.09219,-1.05335,-1.01416,-0.974637,-0.934775,-0.894577,-0.854046,-0.813186,-0.772004,-0.730508,-0.688707,-0.646615,-0.604244,-0.56161,-0.518732,-0.47563,-0.432327,-0.388848,-0.345221,-0.301475,-0.257644,-0.21376,-0.169861,-0.125987,-0.0821768,-0.0384739,0.00507746,0.0484317,0.091542,0.13436,0.176838,0.218927,0.260577,0.301739,0.342364,0.382406,0.421815,0.460548,0.498559,0.535806,0.572249,0.607849,0.642572,0.676383,0.709253,0.741155,0.772064,0.80196,0.830825,0.858646,0.88541,0.911111,0.935744,0.959307,0.981804,1.00324,1.02362,1.04295,1.06126,1.07855,1.09484,1.11016,1.12451,1.13793,1.15044,1.16206,1.17282,1.18274,1.19185,1.20017,1.20772,1.21454,1.22064,1.22605,1.23078,1.23486,1.2383,1.24112,1.24333,1.24494,1.24596,1.24641,1.24627,1.24555,1.24426,1.24238,1.23991,1.23683,1.23314,1.22882,1.22385,1.2182,1.21185,1.20476,1.19692,1.18827,1.17878,1.16841,1.15711,1.14484,1.13153,1.11715,1.10163,1.08492,1.06695,1.04767,1.02701,1.00491,0.981319,0.956167,0.929401,0.900968,0.87082,0.838912,0.805209,0.769684,0.732321,0.693111,0.652063,0.609196,0.564547,0.518165,0.470118,0.420489,0.369373,0.316881,0.263133,0.208255,0.152379,0.0956315,0.0381373,-0.0199915,-0.0786575,-0.137777,-0.197283,-0.257126},
{-3.16419,-3.13485,-3.10547,-3.07608,-3.04665,-3.0172,-2.98771,-2.9582,-2.92865,-2.89907,-2.86945,-2.83979,-2.81008,-2.78034,-2.75055,-2.72071,-2.69081,-2.66087,-2.63087,-2.6008,-2.57068,-2.54049,-2.51023,-2.47989,-2.44948,-2.41898,-2.38841,-2.35774,-2.32697,-2.29611,-2.26514,-2.23407,-2.20288,-2.17157,-2.14013,-2.10856,-2.07686,-2.04501,-2.01301,-1.98085,-1.94852,-1.91603,-1.88335,-1.85049,-1.81743,-1.78417,-1.7507,-1.71702,-1.6831,-1.64895,-1.61456,-1.57991,-1.545,-1.50983,-1.47438,-1.43864,-1.40261,-1.36628,-1.32965,-1.29269,-1.25542,-1.21782,-1.17989,-1.14162,-1.10301,-1.06405,-1.02475,-0.985094,-0.945094,-0.904747,-0.864056,-0.823025,-0.78166,-0.739967,-0.697957,-0.65564,-0.613029,-0.570141,-0.526993,-0.483604,-0.439998,-0.396199,-0.352233,-0.308132,-0.263926,-0.219651,-0.175342,-0.131039,-0.0867825,-0.0426159,0.00141646,0.0452683,0.088892,0.132239,0.17526,0.217904,0.260122,0.301863,0.343077,0.383714,0.423727,0.463067,0.501689,0.539548,0.576603,0.612814,0.648144,0.682557,0.716023,0.748512,0.779999,0.810462,0.839881,0.868242,0.895532,0.921743,0.946868,0.970908,0.993862,1.01573,1.03653,1.05627,1.07495,1.0926,1.10923,1.12486,1.13952,1.15322,1.16598,1.17784,1.18881,1.19893,1.20822,1.2167,1.2244,1.23134,1.23755,1.24304,1.24785,1.25199,1.25547,1.25831,1.26053,1.26214,1.26314,1.26354,1.26335,1.26257,1.2612,1.25922,1.25664,1.25344,1.24962,1.24514,1.24,1.23417,1.22762,1.22033,1.21225,1.20336,1.19362,1.18298,1.17139,1.15882,1.1452,1.13049,1.11463,1.09755,1.07921,1.05955,1.03849,1.01599,0.991973,0.966392,0.939189,0.910311,0.879712,0.847349,0.813189,0.777207,0.739388,0.699728,0.658234,0.614931,0.569857,0.523065,0.474623,0.424618,0.373146,0.320319,0.266258,0.211092,0.154949,0.0979565,0.0402379,-0.0180968,-0.0769527,-0.136248,-0.195919,-0.25592},
{-3.17591,-3.14656,-3.11719,-3.08779,-3.05837,-3.02892,-2.99944,-2.96992,-2.94038,-2.91079,-2.88117,-2.85151,-2.82181,-2.79207,-2.76228,-2.73244,-2.70255,-2.6726,-2.6426,-2.61254,-2.58242,-2.55223,-2.52197,-2.49163,-2.46122,-2.43073,-2.40015,-2.36948,-2.33872,-2.30785,-2.27689,-2.24581,-2.21462,-2.18331,-2.15187,-2.1203,-2.08859,-2.05673,-2.02473,-1.99256,-1.96023,-1.92773,-1.89505,-1.86217,-1.8291,-1.79583,-1.76235,-1.72864,-1.69471,-1.66053,-1.62611,-1.59144,-1.5565,-1.52129,-1.4858,-1.45002,-1.41395,-1.37757,-1.34087,-1.30386,-1.26652,-1.22884,-1.19083,-1.15247,-1.11376,-1.0747,-1.03529,-0.995513,-0.955381,-0.914892,-0.874047,-0.832851,-0.791309,-0.749426,-0.707212,-0.664678,-0.621837,-0.578702,-0.535291,-0.491624,-0.447723,-0.403612,-0.359317,-0.314869,-0.270298,-0.225639,-0.18093,-0.136207,-0.0915143,-0.0468931,-0.00238905,0.0419512,0.0860794,0.129946,0.173501,0.216693,0.259471,0.301782,0.343577,0.384803,0.425411,0.465351,0.504577,0.543042,0.580704,0.617519,0.65345,0.688459,0.722514,0.755585,0.787643,0.818666,0.848634,0.877528,0.905337,0.93205,0.957661,0.982167,1.00557,1.02787,1.04908,1.0692,1.08825,1.10624,1.1232,1.13913,1.15406,1.16801,1.18101,1.19308,1.20425,1.21454,1.22397,1.23258,1.24038,1.2474,1.25368,1.25921,1.26404,1.26818,1.27164,1.27444,1.2766,1.27812,1.27902,1.2793,1.27897,1.27802,1.27646,1.27427,1.27146,1.268,1.26389,1.25911,1.25364,1.24745,1.24051,1.2328,1.22429,1.21493,1.20469,1.19352,1.18137,1.16821,1.15397,1.1386,1.12205,1.10426,1.08517,1.06473,1.04286,1.01951,0.994632,0.968158,0.940037,0.910221,0.878666,0.845333,0.810194,0.773228,0.734426,0.693788,0.651331,0.607085,0.561094,0.513418,0.464134,0.413332,0.361116,0.307603,0.252915,0.197182,0.140532,0.083092,0.0249775,-0.033707,-0.0928707,-0.152443,-0.212366,-0.272599},
{-3.18749,-3.15815,-3.12878,-3.09938,-3.06996,-3.04051,-3.01103,-2.98151,-2.95197,-2.92239,-2.89277,-2.86311,-2.83341,-2.80367,-2.77388,-2.74404,-2.71415,-2.68421,-2.65421,-2.62415,-2.59403,-2.56384,-2.53358,-2.50325,-2.47284,-2.44234,-2.41177,-2.3811,-2.35034,-2.31947,-2.28851,-2.25743,-2.22624,-2.19492,-2.16349,-2.13191,-2.1002,-2.06834,-2.03633,-2.00416,-1.97183,-1.93932,-1.90663,-1.87374,-1.84066,-1.80738,-1.77388,-1.74016,-1.70621,-1.67201,-1.63757,-1.60287,-1.56791,-1.53266,-1.49714,-1.46132,-1.4252,-1.38877,-1.35202,-1.31495,-1.27754,-1.2398,-1.20171,-1.16326,-1.12446,-1.0853,-1.04578,-1.00589,-0.965627,-0.925,-0.884006,-0.84265,-0.800935,-0.758868,-0.716456,-0.67371,-0.630642,-0.587266,-0.543598,-0.499658,-0.455467,-0.411049,-0.366431,-0.32164,-0.27671,-0.231673,-0.186567,-0.141431,-0.0963051,-0.0512334,-0.00626126,0.0385641,0.083194,0.127578,0.171665,0.215404,0.25874,0.301623,0.343998,0.385814,0.427019,0.467563,0.507396,0.546471,0.584744,0.622169,0.658708,0.694321,0.728973,0.762634,0.795274,0.826868,0.857394,0.886834,0.915174,0.942402,0.968512,0.9935,1.01736,1.04011,1.06174,1.08227,1.1017,1.12006,1.13736,1.15361,1.16885,1.18308,1.19634,1.20865,1.22004,1.23052,1.24014,1.24891,1.25685,1.264,1.27038,1.27601,1.2809,1.28509,1.28859,1.29142,1.29358,1.29509,1.29597,1.2962,1.29581,1.29479,1.29314,1.29085,1.28792,1.28433,1.28008,1.27514,1.26949,1.26311,1.25597,1.24805,1.2393,1.22969,1.21918,1.20774,1.1953,1.18183,1.16727,1.15157,1.13468,1.11653,1.09707,1.07623,1.05397,1.03022,1.00492,0.978024,0.949472,0.919219,0.887222,0.853446,0.817861,0.780452,0.741208,0.700135,0.65725,0.612585,0.566188,0.518122,0.468463,0.417306,0.364755,0.310927,0.255947,0.199945,0.143046,0.0853778,0.0270537,-0.0318239,-0.0911664,-0.150906,-0.210986,-0.27137},
{-3.19894,-3.1696,-3.14023,-3.11084,-3.08141,-3.05196,-3.02248,-2.99297,-2.96343,-2.93385,-2.90423,-2.87458,-2.84488,-2.81514,-2.78535,-2.75551,-2.72563,-2.69569,-2.66569,-2.63563,-2.60551,-2.57532,-2.54506,-2.51473,-2.48433,-2.45383,-2.42326,-2.39259,-2.36183,-2.33097,-2.3,-2.26893,-2.23774,-2.20642,-2.17498,-2.14341,-2.1117,-2.07984,-2.04782,-2.01565,-1.98331,-1.95079,-1.91809,-1.88521,-1.85212,-1.81882,-1.78531,-1.75157,-1.71761,-1.68339,-1.64893,-1.61421,-1.57922,-1.54395,-1.50839,-1.47253,-1.43637,-1.3999,-1.3631,-1.32597,-1.2885,-1.25069,-1.21253,-1.174,-1.13512,-1.09586,-1.05623,-1.01622,-0.975842,-0.935083,-0.893946,-0.852436,-0.810554,-0.768308,-0.725705,-0.682753,-0.639465,-0.595855,-0.551937,-0.507731,-0.463258,-0.418541,-0.373606,-0.328481,-0.283199,-0.237792,-0.192297,-0.146754,-0.101203,-0.0556881,-0.0102552,0.0350483,0.0801729,0.125068,0.169681,0.21396,0.25785,0.301297,0.344249,0.38665,0.428449,0.469592,0.51003,0.549713,0.588594,0.626628,0.663773,0.699988,0.735238,0.769488,0.802709,0.834874,0.865959,0.895946,0.924817,0.952562,0.979172,1.00464,1.02897,1.05216,1.07422,1.09515,1.11497,1.13369,1.15133,1.16791,1.18344,1.19795,1.21147,1.22402,1.23562,1.2463,1.25609,1.26501,1.2731,1.28036,1.28684,1.29254,1.2975,1.30173,1.30526,1.30809,1.31024,1.31173,1.31256,1.31274,1.31227,1.31116,1.3094,1.30698,1.30391,1.30017,1.29574,1.29061,1.28475,1.27815,1.27077,1.26259,1.25357,1.24367,1.23286,1.22108,1.20831,1.19448,1.17954,1.16345,1.14615,1.12758,1.10768,1.08639,1.06366,1.03943,1.01364,0.986237,0.957173,0.926399,0.893876,0.859569,0.823452,0.785511,0.745739,0.704145,0.660748,0.615583,0.568702,0.52017,0.470067,0.418489,0.365543,0.311349,0.25603,0.199717,0.142535,0.0846097,0.0260522,-0.0330383,-0.0925763,-0.152497,-0.212747,-0.273293},
{-3.21027,-3.18092,-3.15156,-3.12216,-3.09274,-3.06329,-3.03382,-3.00431,-2.97476,-2.94519,-2.91557,-2.88592,-2.85622,-2.82648,-2.7967,-2.76686,-2.73698,-2.70704,-2.67704,-2.64699,-2.61687,-2.58668,-2.55643,-2.5261,-2.49569,-2.4652,-2.43463,-2.40396,-2.37321,-2.34235,-2.31138,-2.28031,-2.24911,-2.2178,-2.18636,-2.15479,-2.12308,-2.09121,-2.0592,-2.02702,-1.99468,-1.96216,-1.92946,-1.89656,-1.86347,-1.83016,-1.79664,-1.76289,-1.72891,-1.69468,-1.6602,-1.62546,-1.59044,-1.55514,-1.51955,-1.48366,-1.44747,-1.41095,-1.3741,-1.33692,-1.2994,-1.26153,-1.22329,-1.18469,-1.14572,-1.10637,-1.06664,-1.02653,-0.98603,-0.945143,-0.903869,-0.862209,-0.820167,-0.777748,-0.734958,-0.691808,-0.648306,-0.604468,-0.560307,-0.515842,-0.471093,-0.426084,-0.380839,-0.335387,-0.289759,-0.243989,-0.198113,-0.152169,-0.1062,-0.0602488,-0.0143614,0.0314141,0.0770276,0.122428,0.167562,0.212376,0.256815,0.300824,0.344349,0.387333,0.429722,0.471463,0.512504,0.552794,0.592283,0.630926,0.668678,0.705497,0.741346,0.776188,0.809993,0.842732,0.87438,0.904916,0.934324,0.96259,0.989704,1.01566,1.04046,1.0641,1.08659,1.10793,1.12814,1.14723,1.16522,1.18212,1.19796,1.21276,1.22654,1.23933,1.25116,1.26204,1.27201,1.2811,1.28932,1.29671,1.30329,1.30909,1.31412,1.3184,1.32196,1.32481,1.32697,1.32844,1.32924,1.32937,1.32884,1.32766,1.3258,1.32328,1.32009,1.31621,1.31163,1.30634,1.3003,1.2935,1.28592,1.27751,1.26825,1.25811,1.24703,1.23498,1.22191,1.20777,1.19252,1.17609,1.15845,1.13952,1.11925,1.09758,1.07446,1.04983,1.02363,0.99581,0.966322,0.93512,0.902165,0.867424,0.830873,0.7925,0.752299,0.710282,0.66647,0.620902,0.573629,0.52472,0.474257,0.422337,0.36907,0.314575,0.258977,0.202406,0.144987,0.0868435,0.0280852,-0.0311907,-0.0909013,-0.150984,-0.211388,-0.27208},
{-3.22147,-3.19212,-3.16276,-3.13337,-3.10395,-3.0745,-3.04502,-3.01552,-2.98597,-2.9564,-2.92679,-2.89713,-2.86744,-2.8377,-2.80792,-2.77809,-2.7482,-2.71827,-2.68827,-2.65822,-2.62811,-2.59792,-2.56767,-2.53734,-2.50694,-2.47645,-2.44588,-2.41522,-2.38446,-2.3536,-2.32264,-2.29157,-2.26038,-2.22907,-2.19763,-2.16606,-2.13434,-2.10248,-2.07047,-2.03829,-2.00595,-1.97342,-1.94072,-1.90782,-1.87471,-1.8414,-1.80787,-1.77411,-1.74012,-1.70588,-1.67138,-1.63662,-1.60158,-1.56626,-1.53064,-1.49472,-1.45849,-1.42193,-1.38504,-1.34782,-1.31024,-1.2723,-1.234,-1.19533,-1.15628,-1.11685,-1.07702,-1.03681,-0.996196,-0.955187,-0.913781,-0.871978,-0.829782,-0.787196,-0.744228,-0.700885,-0.657177,-0.613118,-0.568721,-0.524005,-0.478989,-0.433695,-0.388148,-0.342378,-0.296413,-0.250288,-0.204038,-0.157703,-0.111324,-0.0649445,-0.018611,0.0276282,0.0737227,0.11962,0.165268,0.21061,0.255591,0.300155,0.344245,0.387806,0.430781,0.473115,0.514753,0.555645,0.595739,0.634986,0.673342,0.710762,0.747206,0.782638,0.817024,0.850335,0.882543,0.913627,0.943569,0.972353,0.99997,1.02641,1.05168,1.07576,1.09868,1.12043,1.14103,1.16048,1.17881,1.19604,1.21218,1.22725,1.24129,1.25431,1.26635,1.27743,1.28757,1.2968,1.30516,1.31266,1.31932,1.32519,1.33026,1.33458,1.33815,1.34099,1.34312,1.34455,1.34529,1.34534,1.34472,1.34341,1.34143,1.33876,1.33539,1.33133,1.32654,1.32102,1.31475,1.30769,1.29983,1.29112,1.28155,1.27107,1.25964,1.24721,1.23375,1.21921,1.20352,1.18665,1.16854,1.14912,1.12835,1.10616,1.08251,1.05733,1.03057,1.00217,0.972096,0.940299,0.906742,0.871394,0.834235,0.795255,0.754453,0.711842,0.667448,0.621312,0.573492,0.524058,0.473095,0.420706,0.367001,0.312101,0.256131,0.199223,0.141499,0.0830812,0.0240755,-0.0354248,-0.0953402,-0.155613,-0.216195,-0.277055},
{-3.23254,-3.2032,-3.17384,-3.14445,-3.11503,-3.08559,-3.05611,-3.0266,-2.99707,-2.96749,-2.93788,-2.90823,-2.87854,-2.8488,-2.81902,-2.78919,-2.75931,-2.72938,-2.69939,-2.66934,-2.63922,-2.60904,-2.57879,-2.54847,-2.51807,-2.48759,-2.45702,-2.42636,-2.3956,-2.36475,-2.33379,-2.30272,-2.27153,-2.24022,-2.20879,-2.17722,-2.1455,-2.11364,-2.08163,-2.04945,-2.01711,-1.98458,-1.95187,-1.91897,-1.88586,-1.85255,-1.81901,-1.78524,-1.75124,-1.71698,-1.68247,-1.64769,-1.61264,-1.57729,-1.54165,-1.5057,-1.46944,-1.43285,-1.39592,-1.35865,-1.32102,-1.28303,-1.24467,-1.20593,-1.1668,-1.12729,-1.08737,-1.04706,-1.00634,-0.965214,-0.92368,-0.88174,-0.839395,-0.796649,-0.753507,-0.709978,-0.66607,-0.621796,-0.57717,-0.532208,-0.486931,-0.441359,-0.395518,-0.349434,-0.303139,-0.256666,-0.210049,-0.163329,-0.116546,-0.0697438,-0.0229697,0.0237279,0.0702983,0.116689,0.162845,0.208711,0.254231,0.299347,0.344002,0.388138,0.431697,0.474622,0.51686,0.558354,0.599054,0.638909,0.677871,0.715895,0.75294,0.788966,0.823939,0.857828,0.890603,0.922243,0.952726,0.982038,1.01017,1.0371,1.06284,1.08739,1.11074,1.13291,1.15391,1.17374,1.19243,1.20999,1.22644,1.24181,1.25612,1.2694,1.28167,1.29295,1.30329,1.31269,1.3212,1.32883,1.33561,1.34157,1.34673,1.35111,1.35472,1.35759,1.35974,1.36116,1.36188,1.3619,1.36123,1.35987,1.35781,1.35505,1.35159,1.34741,1.34249,1.33683,1.33041,1.32319,1.31515,1.30626,1.29648,1.28579,1.27414,1.26148,1.24778,1.23298,1.21704,1.19989,1.1815,1.16179,1.14073,1.11824,1.09427,1.06877,1.04169,1.01297,0.982565,0.950436,0.916546,0.880865,0.843375,0.804065,0.762937,0.720006,0.675298,0.628857,0.580741,0.531022,0.479787,0.427137,0.373186,0.318053,0.261865,0.204753,0.146839,0.088242,0.029069,-0.0305888,-0.0906533,-0.151069,-0.211787,-0.272779},
{-3.2435,-3.21416,-3.1848,-3.15541,-3.12599,-3.09655,-3.06708,-3.03757,-3.00804,-2.97846,-2.94886,-2.91921,-2.88952,-2.85979,-2.83001,-2.80018,-2.7703,-2.74037,-2.71039,-2.68034,-2.65023,-2.62005,-2.5898,-2.55948,-2.52909,-2.49861,-2.46804,-2.43739,-2.40663,-2.37578,-2.34483,-2.31376,-2.28258,-2.25127,-2.21984,-2.18827,-2.15656,-2.1247,-2.09269,-2.06051,-2.02816,-1.99564,-1.96293,-1.93002,-1.89692,-1.8636,-1.83005,-1.79628,-1.76227,-1.728,-1.69348,-1.65869,-1.62361,-1.58825,-1.55259,-1.51662,-1.48032,-1.4437,-1.40673,-1.36942,-1.33175,-1.2937,-1.25529,-1.21648,-1.17729,-1.1377,-1.0977,-1.05729,-1.01647,-0.975235,-0.933581,-0.89151,-0.849023,-0.806123,-0.762815,-0.719107,-0.675007,-0.630526,-0.585679,-0.540481,-0.494951,-0.44911,-0.402983,-0.356597,-0.309981,-0.263169,-0.216195,-0.1691,-0.121923,-0.0747086,-0.0275041,0.0196418,0.066678,0.113551,0.160207,0.206587,0.252636,0.298295,0.343505,0.388206,0.432341,0.47585,0.518678,0.560767,0.602065,0.642519,0.68208,0.720702,0.758339,0.794953,0.830506,0.864966,0.898302,0.930489,0.961507,0.991339,1.01997,1.04739,1.0736,1.0986,1.12238,1.14496,1.16634,1.18654,1.20557,1.22345,1.2402,1.25584,1.27041,1.28391,1.29639,1.30786,1.31836,1.32791,1.33653,1.34427,1.35113,1.35714,1.36234,1.36673,1.37034,1.37319,1.37529,1.37666,1.3773,1.37722,1.37643,1.37492,1.37271,1.36977,1.36611,1.36172,1.35657,1.35066,1.34395,1.33644,1.32808,1.31886,1.30873,1.29766,1.28561,1.27254,1.2584,1.24314,1.22671,1.20907,1.19015,1.1699,1.14828,1.12521,1.10064,1.07453,1.04682,1.01746,0.986397,0.953603,0.919041,0.882684,0.844516,0.804532,0.762735,0.719144,0.673792,0.626724,0.578005,0.52771,0.475929,0.422769,0.368344,0.312776,0.256192,0.198722,0.140487,0.0816031,0.0221727,-0.0377172,-0.0979941,-0.158605,-0.219507,-0.280673},
{-3.25434,-3.225,-3.19564,-3.16626,-3.13684,-3.1074,-3.07793,-3.04843,-3.01889,-2.98932,-2.95972,-2.93007,-2.90039,-2.87066,-2.84088,-2.81106,-2.78118,-2.75125,-2.72127,-2.69123,-2.66112,-2.63095,-2.6007,-2.57039,-2.53999,-2.50952,-2.47896,-2.4483,-2.41756,-2.38671,-2.35576,-2.32469,-2.29351,-2.26221,-2.23078,-2.19922,-2.16751,-2.13565,-2.10364,-2.07147,-2.03913,-2.0066,-1.97389,-1.94099,-1.90788,-1.87455,-1.84101,-1.80723,-1.77321,-1.73894,-1.70441,-1.6696,-1.63452,-1.59914,-1.56346,-1.52746,-1.49114,-1.45449,-1.41749,-1.38014,-1.34242,-1.30433,-1.26586,-1.227,-1.18774,-1.14808,-1.108,-1.0675,-1.02659,-0.985245,-0.943476,-0.901279,-0.858656,-0.815608,-0.77214,-0.728259,-0.683973,-0.639292,-0.594229,-0.548801,-0.503025,-0.456922,-0.410516,-0.363833,-0.316903,-0.269758,-0.222434,-0.174969,-0.127404,-0.0797834,-0.0321539,0.0154352,0.0629324,0.110284,0.157434,0.204326,0.250902,0.297101,0.342863,0.388129,0.432839,0.476932,0.520351,0.563037,0.604935,0.645992,0.686156,0.725379,0.763616,0.800823,0.836963,0.872001,0.905906,0.938651,0.970214,1.00058,1.02972,1.05764,1.08433,1.10979,1.13402,1.15702,1.1788,1.19938,1.21877,1.23699,1.25406,1.27001,1.28484,1.29861,1.31131,1.323,1.33369,1.34341,1.35219,1.36005,1.36703,1.37314,1.37841,1.38287,1.38653,1.3894,1.39152,1.39288,1.3935,1.39338,1.39254,1.39098,1.38868,1.38566,1.3819,1.37738,1.37211,1.36605,1.3592,1.35152,1.34299,1.33358,1.32325,1.31197,1.2997,1.2864,1.27202,1.25651,1.23983,1.22192,1.20272,1.1822,1.16028,1.13691,1.11205,1.08563,1.0576,1.02792,0.996542,0.963428,0.928543,0.891864,0.853375,0.813073,0.770962,0.727062,0.681408,0.634047,0.585043,0.534474,0.482431,0.429022,0.37436,0.318569,0.261777,0.204111,0.145692,0.0866372,0.0270455,-0.0329969,-0.0934187,-0.154168,-0.215204,-0.276499},
{-3.26507,-3.23573,-3.20637,-3.17699,-3.14758,-3.11814,-3.08867,-3.05917,-3.02964,-3.00007,-2.97046,-2.94082,-2.91114,-2.88141,-2.85164,-2.82182,-2.79195,-2.76202,-2.73204,-2.702,-2.6719,-2.64173,-2.61149,-2.58118,-2.55079,-2.52032,-2.48976,-2.45911,-2.42837,-2.39753,-2.36658,-2.33552,-2.30435,-2.27305,-2.24162,-2.21006,-2.17836,-2.14651,-2.1145,-2.08233,-2.04999,-2.01747,-1.98476,-1.95186,-1.91875,-1.88542,-1.85188,-1.8181,-1.78407,-1.7498,-1.71526,-1.68044,-1.64534,-1.60995,-1.57425,-1.53824,-1.5019,-1.46522,-1.42819,-1.39081,-1.35305,-1.31492,-1.2764,-1.23749,-1.19817,-1.15843,-1.11828,-1.07771,-1.0367,-0.995257,-0.95338,-0.911064,-0.868312,-0.825123,-0.781503,-0.737457,-0.692993,-0.64812,-0.602851,-0.557202,-0.511189,-0.464833,-0.418158,-0.371188,-0.323954,-0.276487,-0.228822,-0.180999,-0.133057,-0.0850406,-0.0369971,0.0110243,0.0589716,0.106791,0.154425,0.201818,0.248908,0.295637,0.341942,0.387763,0.433038,0.477705,0.521705,0.564979,0.607468,0.649119,0.689878,0.729694,0.76852,0.806313,0.843032,0.87864,0.913106,0.946399,0.978498,1.00938,1.03903,1.06744,1.0946,1.12051,1.14517,1.16858,1.19075,1.2117,1.23144,1.24998,1.26735,1.28357,1.29867,1.31266,1.32558,1.33745,1.3483,1.35817,1.36707,1.37503,1.38208,1.38825,1.39356,1.39803,1.40168,1.40453,1.4066,1.4079,1.40843,1.40822,1.40725,1.40555,1.40309,1.39989,1.39592,1.39119,1.38568,1.37937,1.37224,1.36427,1.35542,1.34567,1.33499,1.32334,1.31067,1.29696,1.28214,1.26618,1.24902,1.23062,1.21091,1.18985,1.16738,1.14345,1.118,1.09098,1.06234,1.03203,1.00001,0.966253,0.930715,0.893381,0.854237,0.813281,0.770525,0.725991,0.679717,0.631756,0.582175,0.531056,0.478496,0.424602,0.369493,0.313292,0.256128,0.198126,0.139407,0.0800817,0.0202483,-0.0400141,-0.100638,-0.161574,-0.222787,-0.284249},
{-3.27568,-3.24635,-3.21699,-3.18761,-3.1582,-3.12876,-3.0993,-3.0698,-3.04027,-3.0107,-2.9811,-2.95146,-2.92178,-2.89206,-2.86229,-2.83247,-2.80261,-2.77268,-2.74271,-2.71267,-2.68257,-2.65241,-2.62217,-2.59186,-2.56148,-2.53101,-2.50046,-2.46982,-2.43908,-2.40824,-2.3773,-2.34625,-2.31508,-2.28379,-2.25237,-2.22081,-2.18911,-2.15727,-2.12526,-2.0931,-2.06076,-2.02824,-1.99554,-1.96264,-1.92953,-1.89621,-1.86266,-1.82888,-1.79485,-1.76057,-1.72603,-1.69121,-1.6561,-1.6207,-1.58499,-1.54896,-1.5126,-1.4759,-1.43884,-1.40143,-1.36364,-1.32547,-1.28691,-1.24794,-1.20856,-1.16877,-1.12855,-1.08789,-1.0468,-1.00527,-0.963287,-0.920858,-0.877982,-0.834659,-0.790893,-0.746688,-0.702052,-0.656994,-0.611526,-0.565662,-0.519419,-0.472817,-0.425879,-0.37863,-0.331098,-0.283316,-0.235318,-0.187142,-0.138829,-0.0904233,-0.0419717,0.00647626,0.0548683,0.10315,0.151264,0.199153,0.246756,0.294011,0.340857,0.38723,0.433069,0.47831,0.522892,0.566754,0.609837,0.652084,0.693441,0.733854,0.773276,0.81166,0.848964,0.88515,0.920185,0.954037,0.986681,1.0181,1.04826,1.07718,1.10482,1.13119,1.1563,1.18014,1.20272,1.22405,1.24415,1.26304,1.28073,1.29725,1.31262,1.32687,1.34003,1.35211,1.36316,1.3732,1.38225,1.39035,1.39752,1.40378,1.40917,1.4137,1.4174,1.42028,1.42235,1.42365,1.42416,1.42391,1.4229,1.42113,1.4186,1.41531,1.41124,1.4064,1.40076,1.39431,1.38703,1.37889,1.36987,1.35994,1.34906,1.33721,1.32433,1.31039,1.29534,1.27914,1.26173,1.24306,1.22309,1.20176,1.17901,1.15479,1.12905,1.10174,1.0728,1.04219,1.00986,0.975796,0.939951,0.902309,0.862858,0.821599,0.778542,0.733714,0.687152,0.638911,0.589059,0.53768,0.48487,0.430739,0.375405,0.318992,0.261629,0.20344,0.144545,0.0850556,0.0250669,-0.0353428,-0.0961074,-0.157179,-0.218522,-0.280111},
{-3.28619,-3.25686,-3.2275,-3.19812,-3.16871,-3.13928,-3.10981,-3.08032,-3.05079,-3.02123,-2.99163,-2.962,-2.93232,-2.9026,-2.87283,-2.84302,-2.81316,-2.78324,-2.75327,-2.72323,-2.69314,-2.66298,-2.63275,-2.60245,-2.57207,-2.54161,-2.51106,-2.48042,-2.44969,-2.41886,-2.38792,-2.35687,-2.32571,-2.29442,-2.26301,-2.23146,-2.19977,-2.16793,-2.13593,-2.10377,-2.07144,-2.03893,-2.00623,-1.97333,-1.94023,-1.90691,-1.87336,-1.83958,-1.80556,-1.77128,-1.73673,-1.70191,-1.66679,-1.63138,-1.59566,-1.55962,-1.52324,-1.48652,-1.44945,-1.41201,-1.37419,-1.33598,-1.29738,-1.25837,-1.21894,-1.17909,-1.13881,-1.09808,-1.05691,-1.01529,-0.973209,-0.930675,-0.887682,-0.844232,-0.800327,-0.755972,-0.711172,-0.665938,-0.620279,-0.574209,-0.527746,-0.480907,-0.433716,-0.386197,-0.338378,-0.29029,-0.241969,-0.193452,-0.144779,-0.0959944,-0.0471454,0.00171842,0.0505446,0.0992781,0.147862,0.196236,0.24434,0.292112,0.339489,0.386406,0.432799,0.478605,0.52376,0.568202,0.61187,0.654706,0.696653,0.737656,0.777666,0.816635,0.854518,0.891275,0.926872,0.961276,0.994459,1.0264,1.05708,1.08648,1.11461,1.14144,1.16698,1.19124,1.21422,1.23593,1.25638,1.2756,1.2936,1.31041,1.32605,1.34054,1.35392,1.3662,1.37743,1.38762,1.3968,1.40501,1.41227,1.41861,1.42405,1.42861,1.43232,1.43519,1.43725,1.4385,1.43895,1.43862,1.43752,1.43563,1.43297,1.42953,1.42531,1.42028,1.41445,1.40779,1.40028,1.3919,1.38262,1.37242,1.36125,1.34909,1.33589,1.32161,1.30621,1.28964,1.27185,1.25279,1.23241,1.21065,1.18746,1.16279,1.13659,1.1088,1.07938,1.04828,1.01546,0.980883,0.944529,0.906378,0.866418,0.824654,0.781099,0.735781,0.688741,0.640037,0.589742,0.537938,0.484729,0.430223,0.374541,0.317808,0.260152,0.201697,0.142561,0.0828512,0.0226605,-0.0379328,-0.09887,-0.160104,-0.221603,-0.283341},
{-3.29659,-3.26726,-3.2379,-3.20853,-3.17912,-3.14969,-3.12023,-3.09074,-3.06121,-3.03165,-3.00206,-2.97242,-2.94275,-2.91303,-2.88327,-2.85346,-2.8236,-2.79369,-2.76372,-2.73369,-2.7036,-2.67345,-2.64322,-2.61293,-2.58255,-2.5521,-2.52156,-2.49092,-2.4602,-2.42937,-2.39844,-2.3674,-2.33625,-2.30497,-2.27356,-2.24202,-2.21033,-2.1785,-2.14651,-2.11436,-2.08203,-2.04953,-2.01683,-1.98394,-1.95084,-1.91753,-1.88399,-1.85021,-1.81619,-1.78191,-1.74736,-1.71254,-1.67742,-1.642,-1.60627,-1.57022,-1.53383,-1.4971,-1.46001,-1.42254,-1.3847,-1.34646,-1.30782,-1.26877,-1.2293,-1.1894,-1.14905,-1.10826,-1.06702,-1.02531,-0.983147,-0.940513,-0.89741,-0.85384,-0.809803,-0.765304,-0.720349,-0.674945,-0.629103,-0.582835,-0.536159,-0.489092,-0.441656,-0.393875,-0.345777,-0.297393,-0.248756,-0.199906,-0.150881,-0.101726,-0.0524872,-0.0032153,0.0460374,0.0952155,0.144261,0.193115,0.241715,0.289998,0.3379,0.385355,0.432299,0.478665,0.52439,0.56941,0.613662,0.657085,0.699622,0.741216,0.781815,0.821369,0.859833,0.897165,0.933327,0.968287,1.00201,1.03449,1.06568,1.09559,1.12419,1.15149,1.17748,1.20217,1.22555,1.24765,1.26847,1.28803,1.30636,1.32346,1.33938,1.35413,1.36774,1.38024,1.39165,1.40202,1.41135,1.41969,1.42707,1.4335,1.43901,1.44363,1.44738,1.45027,1.45233,1.45357,1.454,1.45363,1.45247,1.45051,1.44777,1.44423,1.43989,1.43474,1.42877,1.42196,1.41429,1.40574,1.39627,1.38587,1.3745,1.36212,1.34869,1.33418,1.31853,1.3017,1.28364,1.26431,1.24365,1.2216,1.19811,1.17314,1.14662,1.11851,1.08877,1.05734,1.02419,0.989282,0.952595,0.914109,0.873816,0.831722,0.787841,0.742202,0.694849,0.645841,0.595252,0.543167,0.489689,0.434929,0.379007,0.322049,0.264184,0.205534,0.146216,0.0863367,0.0259867,-0.0347572,-0.0958379,-0.15721,-0.218842,-0.280709},
{-3.30688,-3.27755,-3.2482,-3.21883,-3.18942,-3.15999,-3.13054,-3.10105,-3.07152,-3.04197,-3.01238,-2.98275,-2.95308,-2.92336,-2.89361,-2.8638,-2.83395,-2.80404,-2.77407,-2.74405,-2.71397,-2.68382,-2.6536,-2.62331,-2.59294,-2.56249,-2.53195,-2.50133,-2.47061,-2.43979,-2.40887,-2.37784,-2.34669,-2.31542,-2.28402,-2.25248,-2.22081,-2.18898,-2.157,-2.12486,-2.09254,-2.06004,-2.02735,-1.99447,-1.96138,-1.92807,-1.89454,-1.86076,-1.82675,-1.79247,-1.75792,-1.7231,-1.68798,-1.65257,-1.61683,-1.58077,-1.54438,-1.50763,-1.47052,-1.43304,-1.39518,-1.35691,-1.31825,-1.27916,-1.23965,-1.1997,-1.1593,-1.11845,-1.07714,-1.03536,-0.993108,-0.950381,-0.907177,-0.863494,-0.819334,-0.774699,-0.729596,-0.684032,-0.638015,-0.59156,-0.54468,-0.497395,-0.449724,-0.401691,-0.353325,-0.304655,-0.255715,-0.206541,-0.157176,-0.107661,-0.0580446,-0.00837585,0.0412921,0.0909036,0.140401,0.189722,0.238807,0.28759,0.336006,0.38399,0.431474,0.478392,0.524678,0.570266,0.615092,0.659095,0.702213,0.744389,0.78557,0.825703,0.864741,0.902641,0.939362,0.974871,1.00914,1.04213,1.07384,1.10424,1.13332,1.16108,1.18751,1.21262,1.2364,1.25887,1.28005,1.29995,1.31859,1.33598,1.35217,1.36716,1.38099,1.39369,1.40528,1.4158,1.42527,1.43373,1.44119,1.4477,1.45326,1.45791,1.46167,1.46456,1.4666,1.4678,1.46817,1.46772,1.46646,1.4644,1.46153,1.45784,1.45335,1.44802,1.44186,1.43484,1.42695,1.41816,1.40845,1.39778,1.38613,1.37345,1.35971,1.34487,1.32888,1.3117,1.29327,1.27355,1.25249,1.23003,1.20612,1.18072,1.15375,1.12519,1.09498,1.06308,1.02945,0.994053,0.956877,0.917901,0.87712,0.83454,0.790179,0.74407,0.696259,0.646809,0.595795,0.543305,0.489446,0.434329,0.378077,0.320815,0.262672,0.203769,0.144222,0.0841336,0.0235918,-0.0373295,-0.0985767,-0.160106,-0.221889,-0.283901},
{-3.31707,-3.28775,-3.2584,-3.22902,-3.19962,-3.1702,-3.14074,-3.11126,-3.08174,-3.05218,-3.0226,-2.99297,-2.9633,-2.93359,-2.90384,-2.87404,-2.84419,-2.81429,-2.78433,-2.75431,-2.72423,-2.69409,-2.66387,-2.63359,-2.60323,-2.57278,-2.54226,-2.51164,-2.48093,-2.45012,-2.4192,-2.38818,-2.35704,-2.32577,-2.29438,-2.26286,-2.23119,-2.19938,-2.1674,-2.13527,-2.10296,-2.07047,-2.0378,-2.00492,-1.97184,-1.93854,-1.90501,-1.87125,-1.83723,-1.80296,-1.76842,-1.7336,-1.69849,-1.66307,-1.62734,-1.59128,-1.55487,-1.51812,-1.481,-1.44351,-1.40562,-1.36734,-1.32865,-1.28953,-1.24998,-1.20999,-1.16955,-1.12864,-1.08727,-1.04542,-1.00309,-0.960281,-0.916982,-0.873193,-0.828917,-0.784155,-0.738913,-0.693196,-0.647014,-0.600379,-0.553304,-0.505809,-0.457912,-0.409638,-0.361012,-0.312065,-0.26283,-0.213344,-0.163646,-0.113782,-0.063796,-0.0137395,0.0363349,0.0863712,0.136311,0.186093,0.235654,0.28493,0.333854,0.38236,0.430378,0.477842,0.524684,0.570836,0.616233,0.660812,0.70451,0.747267,0.789028,0.829739,0.869352,0.90782,0.945102,0.981163,1.01597,1.04949,1.08171,1.11261,1.14218,1.1704,1.19728,1.22281,1.247,1.26986,1.2914,1.31164,1.3306,1.3483,1.36476,1.38001,1.39407,1.40698,1.41877,1.42945,1.43908,1.44766,1.45523,1.46182,1.46746,1.47216,1.47596,1.47887,1.4809,1.48208,1.48242,1.48193,1.48061,1.47846,1.4755,1.47172,1.4671,1.46164,1.45534,1.44816,1.4401,1.43113,1.42122,1.41035,1.39848,1.38557,1.3716,1.3565,1.34026,1.3228,1.3041,1.28409,1.26273,1.23997,1.21575,1.19001,1.16272,1.13382,1.10327,1.07102,1.03703,1.00129,0.963752,0.924418,0.88328,0.840345,0.795635,0.749183,0.701037,0.651261,0.599934,0.547145,0.493001,0.437616,0.381112,0.323617,0.265256,0.206152,0.146419,0.0861573,0.0254536,-0.0356205,-0.0970131,-0.158682,-0.2206,-0.282743},
{-3.32716,-3.29784,-3.26849,-3.23912,-3.20973,-3.1803,-3.15085,-3.12137,-3.09185,-3.0623,-3.03272,-3.00309,-2.97343,-2.94373,-2.91398,-2.88418,-2.85433,-2.82444,-2.79448,-2.76447,-2.7344,-2.70426,-2.67405,-2.64377,-2.61342,-2.58298,-2.55246,-2.52185,-2.49115,-2.46035,-2.42944,-2.39843,-2.3673,-2.33604,-2.30466,-2.27315,-2.24149,-2.20968,-2.17772,-2.1456,-2.1133,-2.08082,-2.04816,-2.01529,-1.98222,-1.94893,-1.91541,-1.88166,-1.84766,-1.81339,-1.77886,-1.74404,-1.70894,-1.67352,-1.63779,-1.60173,-1.56533,-1.52857,-1.49144,-1.45394,-1.41604,-1.37774,-1.33903,-1.29989,-1.26031,-1.22028,-1.1798,-1.13884,-1.09742,-1.05551,-1.01311,-0.970221,-0.926834,-0.882949,-0.838565,-0.793685,-0.748312,-0.702452,-0.656114,-0.609309,-0.562051,-0.514356,-0.466244,-0.417738,-0.368865,-0.319653,-0.270135,-0.220348,-0.170331,-0.120128,-0.0697858,-0.0193538,0.0311145,0.0815631,0.131933,0.182163,0.232189,0.281946,0.331366,0.380381,0.428923,0.476921,0.524308,0.571014,0.616972,0.662117,0.706384,0.749713,0.792045,0.833326,0.873504,0.912533,0.950368,0.986972,1.02231,1.05636,1.08908,1.12047,1.15051,1.17919,1.20651,1.23246,1.25705,1.28029,1.30218,1.32276,1.34203,1.36001,1.37674,1.39223,1.40651,1.41962,1.43158,1.44242,1.45217,1.46087,1.46853,1.47519,1.48087,1.48561,1.48941,1.49231,1.49431,1.49545,1.49572,1.49515,1.49373,1.49147,1.48837,1.48444,1.47966,1.47402,1.46751,1.46013,1.45184,1.44262,1.43245,1.42131,1.40915,1.39594,1.38164,1.36621,1.34961,1.3318,1.31271,1.29231,1.27054,1.24735,1.2227,1.19651,1.16876,1.13939,1.10835,1.07561,1.04113,1.00488,0.966836,0.926993,0.885347,0.841909,0.796702,0.749763,0.701143,0.650911,0.599146,0.545943,0.491409,0.435661,0.378823,0.32102,0.262381,0.203024,0.143062,0.0825923,0.0216979,-0.0395528,-0.101112,-0.162939,-0.225008,-0.287296},
{-3.33716,-3.30784,-3.27849,-3.24912,-3.21973,-3.19031,-3.16086,-3.13138,-3.10187,-3.07232,-3.04274,-3.01312,-2.98346,-2.95376,-2.92402,-2.89423,-2.86439,-2.83449,-2.80454,-2.77454,-2.74447,-2.71434,-2.68414,-2.65387,-2.62352,-2.59309,-2.56258,-2.53198,-2.50129,-2.47049,-2.4396,-2.40859,-2.37747,-2.34622,-2.31485,-2.28335,-2.2517,-2.21991,-2.18796,-2.15585,-2.12356,-2.0911,-2.05844,-2.02559,-1.99253,-1.95925,-1.92575,-1.892,-1.85801,-1.82376,-1.78924,-1.75443,-1.71933,-1.68392,-1.6482,-1.61214,-1.57574,-1.53898,-1.50185,-1.46434,-1.42644,-1.38813,-1.3494,-1.31023,-1.27063,-1.23058,-1.19006,-1.14906,-1.10759,-1.06562,-1.02316,-0.980203,-0.936736,-0.892761,-0.848278,-0.803287,-0.757792,-0.711797,-0.665312,-0.618347,-0.570913,-0.523029,-0.474711,-0.425984,-0.376872,-0.327405,-0.277614,-0.227535,-0.177209,-0.126678,-0.0759886,-0.0251909,0.025662,0.0765138,0.127305,0.177974,0.228457,0.278686,0.328595,0.378114,0.427172,0.475699,0.523625,0.57088,0.617395,0.663103,0.707937,0.751836,0.794739,0.836589,0.877333,0.916923,0.955313,0.992464,1.02834,1.06291,1.09615,1.12803,1.15856,1.1877,1.21546,1.24184,1.26683,1.29046,1.31272,1.33364,1.35323,1.37152,1.38852,1.40427,1.41879,1.43211,1.44426,1.45528,1.46518,1.47401,1.48178,1.48853,1.49429,1.49908,1.50292,1.50584,1.50785,1.50898,1.50922,1.5086,1.50713,1.5048,1.50162,1.49759,1.49269,1.48694,1.4803,1.47276,1.46431,1.45493,1.44458,1.43324,1.42088,1.40746,1.39294,1.37728,1.36044,1.34237,1.32302,1.30235,1.2803,1.25683,1.23187,1.20539,1.17733,1.14764,1.11628,1.08321,1.04839,1.0118,0.973424,0.933242,0.891259,0.847485,0.801946,0.754681,0.705744,0.655203,0.603142,0.549654,0.494851,0.438849,0.381773,0.323749,0.264904,0.205356,0.145217,0.0845818,0.0235319,-0.037866,-0.0995658,-0.161528,-0.22373,-0.286147},
{-3.34705,-3.31773,-3.28839,-3.25903,-3.22963,-3.20022,-3.17077,-3.14129,-3.11179,-3.08224,-3.05267,-3.02305,-2.9934,-2.9637,-2.93396,-2.90418,-2.87434,-2.84445,-2.81451,-2.78451,-2.75445,-2.72433,-2.69413,-2.66387,-2.63353,-2.60311,-2.57261,-2.54202,-2.51133,-2.48055,-2.44966,-2.41866,-2.38755,-2.35632,-2.32496,-2.29347,-2.26184,-2.23005,-2.19812,-2.16602,-2.13375,-2.10129,-2.06865,-2.03582,-2.00277,-1.96951,-1.93601,-1.90228,-1.86831,-1.83407,-1.79956,-1.76476,-1.72967,-1.69428,-1.65856,-1.62251,-1.58611,-1.54936,-1.51223,-1.47472,-1.43681,-1.39849,-1.35975,-1.32058,-1.28096,-1.24088,-1.20033,-1.1593,-1.11778,-1.07577,-1.03326,-0.990233,-0.946695,-0.902639,-0.858064,-0.812971,-0.767363,-0.721244,-0.674622,-0.627505,-0.579907,-0.531843,-0.483331,-0.434393,-0.385054,-0.335343,-0.28529,-0.234932,-0.184308,-0.133461,-0.0824362,-0.0312844,0.0199413,0.0711845,0.122386,0.173483,0.22441,0.275102,0.325489,0.3755,0.425065,0.474112,0.522569,0.570364,0.617428,0.66369,0.709085,0.753547,0.797014,0.839428,0.880733,0.92088,0.959821,0.997514,1.03392,1.06902,1.10276,1.13515,1.16615,1.19575,1.22396,1.25076,1.27617,1.30018,1.32281,1.34407,1.36399,1.38257,1.39986,1.41587,1.43062,1.44416,1.45651,1.46769,1.47775,1.48671,1.4946,1.50144,1.50728,1.51213,1.51601,1.51895,1.52097,1.52209,1.52231,1.52166,1.52013,1.51773,1.51448,1.51035,1.50535,1.49948,1.49271,1.48504,1.47644,1.46689,1.45637,1.44485,1.43229,1.41867,1.40393,1.38805,1.37098,1.35267,1.33307,1.31214,1.28982,1.26607,1.24083,1.21406,1.18569,1.1557,1.12403,1.09064,1.0555,1.01859,0.979879,0.939368,0.897055,0.852955,0.807093,0.759511,0.710263,0.659422,0.607071,0.553306,0.498241,0.441991,0.384682,0.326442,0.267396,0.207661,0.147348,0.0865513,0.0253486,-0.0361944,-0.0980334,-0.16013,-0.222463,-0.285006},
{-3.35685,-3.32754,-3.2982,-3.26884,-3.23945,-3.21003,-3.18059,-3.15112,-3.12161,-3.09207,-3.0625,-3.03289,-3.00324,-2.97355,-2.94382,-2.91404,-2.88421,-2.85432,-2.82439,-2.7944,-2.76434,-2.73422,-2.70404,-2.67378,-2.64345,-2.61304,-2.58255,-2.55196,-2.52129,-2.49051,-2.45964,-2.42865,-2.39755,-2.36633,-2.33499,-2.30351,-2.27189,-2.24012,-2.2082,-2.17611,-2.14385,-2.11142,-2.07879,-2.04597,-2.01294,-1.97969,-1.94622,-1.9125,-1.87854,-1.84432,-1.80982,-1.77504,-1.73997,-1.70458,-1.66888,-1.63284,-1.59645,-1.5597,-1.52258,-1.48508,-1.44717,-1.40885,-1.3701,-1.33092,-1.29128,-1.25119,-1.21062,-1.16956,-1.12801,-1.08596,-1.0434,-1.00032,-0.956715,-0.912587,-0.867931,-0.822746,-0.777035,-0.730801,-0.684052,-0.636795,-0.589043,-0.540811,-0.492117,-0.44298,-0.393426,-0.343483,-0.293181,-0.242557,-0.191648,-0.140497,-0.0891509,-0.0376585,0.0139266,0.0655479,0.117146,0.168657,0.220017,0.271157,0.322009,0.372501,0.42256,0.472114,0.52109,0.569415,0.617016,0.663823,0.709768,0.754784,0.798806,0.841775,0.883634,0.924329,0.963814,1.00204,1.03898,1.07459,1.10884,1.14171,1.17318,1.20325,1.23189,1.25912,1.28492,1.30932,1.33231,1.35391,1.37414,1.39303,1.41059,1.42685,1.44184,1.45558,1.46812,1.47947,1.48967,1.49876,1.50675,1.51369,1.51959,1.52448,1.5284,1.53135,1.53337,1.53447,1.53465,1.53395,1.53235,1.52988,1.52652,1.52229,1.51717,1.51116,1.50424,1.4964,1.48763,1.47789,1.46717,1.45544,1.44266,1.4288,1.41382,1.39767,1.38033,1.36174,1.34185,1.32061,1.29798,1.2739,1.24832,1.2212,1.19248,1.16212,1.13007,1.0963,1.06077,1.02347,0.984362,0.943453,0.900743,0.856248,0.809997,0.762033,0.712414,0.661213,0.608518,0.554426,0.499051,0.442513,0.384936,0.326449,0.267176,0.207234,0.14673,0.085757,0.02439,-0.0373077,-0.0992944,-0.161533,-0.224003,-0.286679},
{-3.36656,-3.33725,-3.30791,-3.27855,-3.24917,-3.21976,-3.19032,-3.16085,-3.13135,-3.10181,-3.07224,-3.04264,-3.01299,-2.98331,-2.95358,-2.9238,-2.89398,-2.86411,-2.83418,-2.80419,-2.77414,-2.74403,-2.71386,-2.68361,-2.65329,-2.62288,-2.5924,-2.56183,-2.53116,-2.5004,-2.46953,-2.43856,-2.40747,-2.37627,-2.34493,-2.31347,-2.28186,-2.25011,-2.2182,-2.18613,-2.15389,-2.12147,-2.08886,-2.05606,-2.02304,-1.98981,-1.95636,-1.92266,-1.88872,-1.85451,-1.82003,-1.78527,-1.75021,-1.71485,-1.67916,-1.64313,-1.60676,-1.57002,-1.53291,-1.49541,-1.45751,-1.4192,-1.38045,-1.34126,-1.30162,-1.26151,-1.22093,-1.17985,-1.13827,-1.09619,-1.05359,-1.01046,-0.966803,-0.922611,-0.877881,-0.832614,-0.786809,-0.74047,-0.693603,-0.646217,-0.598322,-0.549933,-0.501066,-0.451742,-0.401984,-0.35182,-0.301281,-0.250401,-0.199219,-0.147777,-0.0961196,-0.0442979,0.00763555,0.0596239,0.111607,0.163523,0.215305,0.266884,0.318192,0.369155,0.419701,0.469754,0.519242,0.568089,0.616223,0.66357,0.71006,0.755626,0.800201,0.843723,0.886133,0.927378,0.967406,1.00617,1.04364,1.07976,1.11452,1.14789,1.17984,1.21037,1.23946,1.26712,1.29334,1.31812,1.34148,1.36344,1.384,1.4032,1.42105,1.43758,1.45281,1.46679,1.47953,1.49107,1.50144,1.51067,1.5188,1.52584,1.53184,1.53682,1.54079,1.5438,1.54585,1.54696,1.54715,1.54644,1.54483,1.54232,1.53892,1.53463,1.52945,1.52336,1.51636,1.50843,1.49956,1.48971,1.47888,1.46702,1.45411,1.44011,1.42498,1.40869,1.39118,1.37242,1.35236,1.33095,1.30813,1.28386,1.25809,1.23076,1.20183,1.17126,1.13899,1.105,1.06925,1.03172,0.992386,0.951246,0.908305,0.863578,0.817096,0.768904,0.719061,0.667641,0.614733,0.560435,0.504862,0.448135,0.390379,0.33172,0.272286,0.21219,0.151541,0.0904285,0.028928,-0.0328988,-0.0950109,-0.157372,-0.219962,-0.282756},
{-3.37618,-3.34687,-3.31754,-3.28818,-3.2588,-3.22939,-3.19995,-3.17049,-3.14099,-3.11146,-3.0819,-3.0523,-3.02266,-2.99298,-2.96325,-2.93348,-2.90367,-2.8738,-2.84388,-2.8139,-2.78386,-2.75376,-2.72359,-2.69335,-2.66303,-2.63264,-2.60217,-2.57161,-2.54095,-2.5102,-2.47935,-2.44839,-2.41731,-2.38612,-2.3548,-2.32335,-2.29176,-2.26002,-2.22813,-2.19608,-2.16386,-2.13145,-2.09886,-2.06608,-2.03308,-1.99987,-1.96644,-1.93276,-1.89884,-1.86465,-1.8302,-1.79545,-1.76042,-1.72507,-1.6894,-1.65339,-1.61703,-1.58032,-1.54322,-1.50573,-1.46784,-1.42954,-1.3908,-1.35161,-1.31197,-1.27186,-1.23126,-1.19017,-1.14858,-1.10647,-1.06383,-1.02067,-0.976964,-0.932718,-0.887925,-0.842584,-0.796696,-0.750264,-0.703291,-0.655787,-0.607761,-0.559226,-0.5102,-0.460701,-0.410753,-0.360382,-0.309619,-0.258498,-0.207057,-0.155337,-0.103384,-0.051248,0.00101888,0.0533595,0.105714,0.158019,0.210207,0.262212,0.313961,0.365381,0.416399,0.466939,0.516925,0.566282,0.614935,0.662809,0.709834,0.755938,0.801055,0.84512,0.888073,0.929857,0.97042,1.00972,1.0477,1.08434,1.1196,1.15345,1.18588,1.21686,1.2464,1.27448,1.3011,1.32627,1.35,1.3723,1.39319,1.41269,1.43082,1.44762,1.46309,1.47729,1.49023,1.50195,1.51249,1.52186,1.53011,1.53726,1.54335,1.54839,1.55243,1.55547,1.55754,1.55866,1.55885,1.55812,1.55647,1.55392,1.55046,1.5461,1.54084,1.53466,1.52756,1.51952,1.51052,1.50055,1.48957,1.47756,1.46448,1.45031,1.43501,1.41853,1.40083,1.38186,1.36159,1.33995,1.3169,1.29239,1.26637,1.23879,1.2096,1.17875,1.14621,1.11194,1.0759,1.03807,0.99844,0.957,0.913758,0.868732,0.821954,0.77347,0.723341,0.671643,0.618467,0.563912,0.508096,0.451139,0.393167,0.334307,0.274685,0.214415,0.153602,0.0923369,0.0306911,-0.0312745,-0.0935207,-0.156012,-0.218729,-0.281646},
{-3.38571,-3.3564,-3.32707,-3.29772,-3.26834,-3.23893,-3.2095,-3.18004,-3.15055,-3.12102,-3.09146,-3.06187,-3.03223,-3.00256,-2.97284,-2.94308,-2.91327,-2.8834,-2.85349,-2.82352,-2.79349,-2.76339,-2.73323,-2.703,-2.6727,-2.64232,-2.61185,-2.5813,-2.55066,-2.51992,-2.48908,-2.45813,-2.42707,-2.3959,-2.36459,-2.33316,-2.30158,-2.26986,-2.23799,-2.20595,-2.17375,-2.14137,-2.1088,-2.07603,-2.04306,-2.00987,-1.97646,-1.9428,-1.9089,-1.87474,-1.84031,-1.80559,-1.77057,-1.73525,-1.6996,-1.66362,-1.62728,-1.59058,-1.55351,-1.51604,-1.47817,-1.43987,-1.40114,-1.36197,-1.32233,-1.28222,-1.24162,-1.20053,-1.15892,-1.1168,-1.07414,-1.03094,-0.987204,-0.942913,-0.898068,-0.852665,-0.806705,-0.760189,-0.713123,-0.665513,-0.617368,-0.568702,-0.519529,-0.469869,-0.419745,-0.369182,-0.31821,-0.266863,-0.215178,-0.163197,-0.110964,-0.058529,-0.00594485,0.0467317,0.0994405,0.152118,0.204698,0.257111,0.309285,0.361146,0.41262,0.46363,0.5141,0.563951,0.613109,0.661497,0.709042,0.755671,0.801317,0.845912,0.889394,0.931706,0.972793,1.01261,1.0511,1.08824,1.12399,1.15832,1.19121,1.22265,1.25261,1.28111,1.30813,1.33367,1.35776,1.3804,1.40161,1.4214,1.43981,1.45685,1.47257,1.48697,1.50011,1.512,1.52268,1.53219,1.54055,1.54779,1.55395,1.55905,1.56312,1.56618,1.56826,1.56937,1.56954,1.56876,1.56706,1.56444,1.5609,1.55645,1.55107,1.54477,1.53754,1.52935,1.52019,1.51005,1.49888,1.48668,1.4734,1.45901,1.44347,1.42674,1.40879,1.38955,1.36899,1.34706,1.32371,1.29888,1.27253,1.2446,1.21506,1.18385,1.15093,1.11627,1.07984,1.04162,1.00158,0.959738,0.916092,0.870663,0.823487,0.774613,0.724104,0.672041,0.618514,0.563627,0.507499,0.450252,0.392011,0.332905,0.273059,0.212583,0.151582,0.0901431,0.0283351,-0.0337836,-0.0961764,-0.158809,-0.221663,-0.284712},
{-3.39515,-3.36584,-3.33652,-3.30717,-3.27779,-3.24839,-3.21896,-3.1895,-3.16002,-3.1305,-3.10094,-3.07135,-3.04172,-3.01205,-2.98234,-2.95258,-2.92278,-2.89293,-2.86302,-2.83306,-2.80303,-2.77295,-2.7428,-2.71258,-2.68228,-2.65191,-2.62146,-2.59092,-2.56029,-2.52956,-2.49874,-2.4678,-2.43676,-2.4056,-2.37431,-2.34289,-2.31133,-2.27963,-2.24778,-2.21576,-2.18358,-2.15122,-2.11867,-2.08593,-2.05298,-2.01981,-1.98642,-1.9528,-1.91892,-1.88478,-1.85038,-1.81569,-1.7807,-1.7454,-1.70978,-1.67382,-1.63751,-1.60084,-1.56378,-1.52634,-1.48849,-1.45021,-1.4115,-1.37234,-1.33272,-1.29262,-1.25202,-1.21093,-1.16932,-1.12718,-1.08451,-1.0413,-0.99753,-0.953204,-0.908315,-0.86286,-0.816838,-0.770251,-0.723102,-0.675397,-0.627145,-0.578358,-0.529052,-0.479243,-0.428955,-0.378212,-0.327044,-0.275484,-0.223567,-0.171337,-0.118837,-0.0661154,-0.0132264,0.039774,0.0928255,0.145864,0.198824,0.251634,0.304223,0.356516,0.408437,0.459909,0.510854,0.561194,0.61085,0.659746,0.707806,0.754958,0.801129,0.846253,0.890266,0.933106,0.974719,1.01505,1.05406,1.09171,1.12795,1.16277,1.19613,1.22803,1.25844,1.28736,1.31479,1.34073,1.36519,1.38819,1.40973,1.42984,1.44855,1.46587,1.48184,1.49649,1.50984,1.52194,1.53281,1.54248,1.55099,1.55837,1.56464,1.56985,1.57401,1.57715,1.57929,1.58045,1.58065,1.5799,1.57821,1.5756,1.57206,1.56759,1.5622,1.55587,1.5486,1.54037,1.53117,1.52097,1.50974,1.49747,1.48412,1.46965,1.45403,1.43722,1.41917,1.39984,1.37918,1.35714,1.33367,1.30873,1.28225,1.2542,1.22452,1.19317,1.16011,1.12531,1.08872,1.05034,1.01015,0.968141,0.924329,0.878733,0.831389,0.782345,0.731669,0.679438,0.625747,0.5707,0.514415,0.457015,0.398628,0.339379,0.279396,0.218788,0.157659,0.0960955,0.0341663,-0.0280709,-0.0905801,-0.153327,-0.216294,-0.279454},
{-3.4045,-3.3752,-3.34588,-3.31653,-3.28716,-3.25776,-3.22834,-3.19888,-3.1694,-3.13989,-3.11034,-3.08075,-3.05113,-3.02146,-2.99176,-2.96201,-2.93221,-2.90236,-2.87246,-2.84251,-2.8125,-2.78242,-2.75228,-2.72207,-2.69178,-2.66142,-2.63098,-2.60046,-2.56984,-2.53913,-2.50832,-2.4774,-2.44637,-2.41522,-2.38395,-2.35255,-2.32101,-2.28933,-2.2575,-2.2255,-2.19334,-2.161,-2.12848,-2.09576,-2.06283,-2.0297,-1.99633,-1.96273,-1.92888,-1.89478,-1.8604,-1.82574,-1.79078,-1.75551,-1.71992,-1.68399,-1.64771,-1.61107,-1.57404,-1.53663,-1.4988,-1.46055,-1.42186,-1.38273,-1.34312,-1.30303,-1.26246,-1.22137,-1.17977,-1.13763,-1.09495,-1.05173,-1.00794,-0.963594,-0.918673,-0.873177,-0.827106,-0.78046,-0.733241,-0.685456,-0.637111,-0.58822,-0.538794,-0.488854,-0.438418,-0.387512,-0.336165,-0.284409,-0.232281,-0.17982,-0.127072,-0.074084,-0.02091,0.0323938,0.0857674,0.139147,0.192465,0.245652,0.298634,0.351337,0.403684,0.455597,0.506996,0.557802,0.607936,0.657319,0.705874,0.753527,0.800204,0.845837,0.890358,0.933707,0.975826,1.01666,1.05617,1.0943,1.13102,1.1663,1.20012,1.23246,1.26329,1.29262,1.32044,1.34675,1.37157,1.3949,1.41676,1.43716,1.45614,1.47372,1.48992,1.50478,1.51833,1.5306,1.54162,1.55143,1.56005,1.56753,1.57389,1.57915,1.58336,1.58653,1.58868,1.58984,1.59002,1.58925,1.58752,1.58484,1.58123,1.57668,1.57119,1.56475,1.55736,1.549,1.53964,1.52928,1.51789,1.50543,1.49188,1.4772,1.46136,1.4443,1.426,1.40641,1.38547,1.36314,1.33936,1.3141,1.28729,1.25889,1.22885,1.19713,1.16368,1.12848,1.09149,1.0527,1.01209,0.969659,0.925425,0.87941,0.831651,0.782201,0.731129,0.678519,0.624464,0.569074,0.512468,0.454771,0.39611,0.336611,0.2764,0.215585,0.154267,0.0925296,0.0304376,-0.0319538,-0.0946098,-0.1575,-0.220604,-0.283896}
};
//arrays dimensions are [z][energy], z=1 starts from index=0
//LS X coefficient (dE straggling) for A=atomic weight
double ls_X_coefficients_a[][200]=
{
{0.999182,0.999124,0.999062,0.998995,0.998925,0.998851,0.998772,0.998688,0.998598,0.998504,0.998404,0.998297,0.998184,0.998064,0.997937,0.997802,0.997659,0.997507,0.997346,0.997175,0.996994,0.996802,0.996598,0.996382,0.996153,0.99591,0.995653,0.995381,0.995092,0.994785,0.994461,0.994117,0.993753,0.993367,0.992958,0.992526,0.992067,0.991582,0.991068,0.990524,0.989948,0.989338,0.988693,0.988011,0.987289,0.986525,0.985717,0.984863,0.98396,0.983005,0.981996,0.98093,0.979804,0.978614,0.977358,0.976032,0.974632,0.973155,0.971597,0.969955,0.968223,0.966397,0.964474,0.962449,0.960317,0.958074,0.955714,0.953233,0.950626,0.947887,0.945012,0.941995,0.938832,0.935516,0.932044,0.928409,0.924608,0.920635,0.916485,0.912155,0.90764,0.902937,0.898042,0.892953,0.887666,0.88218,0.876495,0.870608,0.864522,0.858236,0.851752,0.845074,0.838206,0.831151,0.823917,0.81651,0.808938,0.801211,0.79334,0.785335,0.77721,0.768979,0.760656,0.752258,0.7438,0.735302,0.72678,0.718255,0.709744,0.701267,0.692844,0.684494,0.676236,0.668089,0.660071,0.6522,0.644492,0.636962,0.629625,0.622494,0.61558,0.608894,0.602443,0.596236,0.590278,0.584573,0.579123,0.573929,0.568991,0.564308,0.559877,0.555692,0.55175,0.548044,0.544568,0.541314,0.538274,0.535439,0.532801,0.53035,0.528078,0.525974,0.52403,0.522236,0.520584,0.519064,0.517667,0.516386,0.515211,0.514137,0.513154,0.512256,0.511437,0.510689,0.510008,0.509387,0.508822,0.508306,0.507837,0.507408,0.507018,0.50666,0.506333,0.506032,0.505756,0.5055,0.505262,0.50504,0.504831,0.504632,0.504442,0.504258,0.504078,0.503901,0.503723,0.503542,0.503357,0.503165,0.502964,0.50275,0.502522,0.502277,0.502011,0.501721,0.501403,0.501053,0.500667,0.500239,0.499764,0.499237,0.49865,0.497996,0.497267,0.496453,0.495544,0.494529,0.493396,0.492131,0.490717,0.489139},
{0.999599,0.999546,0.999489,0.999428,0.999363,0.999294,0.999221,0.999143,0.99906,0.998971,0.998877,0.998778,0.998671,0.998558,0.998438,0.998311,0.998175,0.998031,0.997878,0.997716,0.997543,0.99736,0.997165,0.996959,0.99674,0.996507,0.99626,0.995998,0.99572,0.995425,0.995112,0.99478,0.994428,0.994054,0.993659,0.993239,0.992795,0.992323,0.991824,0.991295,0.990734,0.990141,0.989512,0.988846,0.988141,0.987395,0.986606,0.98577,0.984886,0.983951,0.982962,0.981917,0.980812,0.979645,0.978411,0.977108,0.975732,0.974279,0.972746,0.971129,0.969423,0.967625,0.965729,0.963732,0.961629,0.959416,0.957086,0.954636,0.952061,0.949354,0.946512,0.943529,0.940401,0.93712,0.933684,0.930086,0.926322,0.922387,0.918276,0.913985,0.90951,0.904848,0.899994,0.894946,0.889702,0.884259,0.878617,0.872775,0.866733,0.860491,0.854053,0.847421,0.840598,0.833589,0.826401,0.81904,0.811515,0.803834,0.796008,0.78805,0.779971,0.771785,0.763507,0.755154,0.746741,0.738286,0.729807,0.721324,0.712855,0.704419,0.696036,0.687725,0.679505,0.671396,0.663414,0.655578,0.647903,0.640406,0.6331,0.625999,0.619114,0.612455,0.606031,0.599849,0.593915,0.588232,0.582803,0.577629,0.57271,0.568044,0.563629,0.559459,0.555531,0.551838,0.548373,0.54513,0.542099,0.539272,0.536641,0.534197,0.531929,0.52983,0.527889,0.526097,0.524445,0.522924,0.521526,0.520242,0.519064,0.517984,0.516995,0.516089,0.51526,0.514501,0.513807,0.513171,0.512587,0.512052,0.511559,0.511105,0.510685,0.510295,0.509931,0.509589,0.509265,0.508957,0.508661,0.508372,0.508089,0.507808,0.507525,0.507238,0.506942,0.506634,0.50631,0.505967,0.505599,0.505203,0.504773,0.504304,0.503789,0.503224,0.502599,0.501908,0.501142,0.500292,0.499346,0.498293,0.497121,0.495814,0.494358,0.492735,0.490925,0.488909,0.486663,0.484161,0.481378,0.478282,0.474842,0.471024},
{1.00017,1.00012,1.00007,1.00002,0.999959,0.999897,0.99983,0.999759,0.999682,0.999601,0.999514,0.999421,0.999322,0.999217,0.999104,0.998984,0.998857,0.998721,0.998576,0.998422,0.998258,0.998083,0.997898,0.997701,0.997491,0.997268,0.997031,0.996779,0.996512,0.996228,0.995926,0.995606,0.995266,0.994905,0.994522,0.994115,0.993684,0.993226,0.992741,0.992226,0.991681,0.991103,0.99049,0.98984,0.989152,0.988424,0.987652,0.986834,0.985969,0.985054,0.984085,0.98306,0.981976,0.98083,0.979618,0.978338,0.976985,0.975557,0.974048,0.972456,0.970776,0.969004,0.967136,0.965167,0.963092,0.960908,0.958608,0.956188,0.953644,0.95097,0.94816,0.945211,0.942116,0.938871,0.93547,0.931908,0.928181,0.924283,0.92021,0.915958,0.911523,0.9069,0.902087,0.897081,0.891878,0.886478,0.880878,0.875079,0.869081,0.862884,0.85649,0.849902,0.843124,0.836161,0.829018,0.821702,0.814222,0.806587,0.798807,0.790894,0.782859,0.774718,0.766485,0.758175,0.749806,0.741394,0.732958,0.724516,0.716088,0.707692,0.699348,0.691076,0.682894,0.67482,0.666874,0.659072,0.651431,0.643965,0.63669,0.629619,0.622762,0.61613,0.609732,0.603574,0.597663,0.592002,0.586594,0.58144,0.576539,0.571891,0.567491,0.563337,0.559422,0.555742,0.552289,0.549056,0.546034,0.543216,0.540593,0.538155,0.535893,0.533798,0.531861,0.530072,0.528422,0.526902,0.525504,0.524218,0.523038,0.521955,0.520961,0.520049,0.519213,0.518446,0.517741,0.517093,0.516496,0.515945,0.515435,0.514961,0.514518,0.514102,0.513709,0.513335,0.512974,0.512625,0.512282,0.511942,0.511601,0.511255,0.5109,0.510531,0.510144,0.509734,0.509296,0.508825,0.508314,0.507759,0.50715,0.506482,0.505745,0.504931,0.504029,0.503028,0.501917,0.50068,0.499305,0.497774,0.49607,0.494172,0.492059,0.489707,0.487089,0.484179,0.480945,0.477355,0.473372,0.468959,0.464076,0.458682},
{1.00086,1.00082,1.00078,1.00073,1.00069,1.00063,1.00058,1.00051,1.00045,1.00038,1.0003,1.00021,1.00012,1.00003,0.999924,0.999813,0.999695,0.999568,0.999433,0.999288,0.999134,0.998969,0.998793,0.998606,0.998406,0.998193,0.997967,0.997726,0.997469,0.997196,0.996906,0.996598,0.996269,0.995921,0.99555,0.995157,0.994739,0.994295,0.993824,0.993323,0.992793,0.99223,0.991632,0.990999,0.990327,0.989615,0.988861,0.988062,0.987215,0.986318,0.985369,0.984364,0.983301,0.982176,0.980986,0.979728,0.978398,0.976993,0.975508,0.973941,0.972286,0.97054,0.968699,0.966757,0.96471,0.962554,0.960284,0.957895,0.955381,0.952738,0.949961,0.947044,0.943983,0.940771,0.937405,0.933879,0.930188,0.926327,0.922292,0.918078,0.913682,0.909099,0.904326,0.89936,0.894198,0.888839,0.883282,0.877526,0.87157,0.865416,0.859066,0.852522,0.845789,0.83887,0.831771,0.8245,0.817065,0.809474,0.801739,0.79387,0.78588,0.777782,0.769593,0.761326,0.752999,0.74463,0.736235,0.727834,0.719446,0.71109,0.702784,0.694549,0.686404,0.678366,0.670454,0.662686,0.655077,0.647643,0.640398,0.633355,0.626526,0.619921,0.613548,0.607414,0.601526,0.595887,0.590499,0.585365,0.580482,0.575851,0.571467,0.567328,0.563427,0.559759,0.556318,0.553096,0.550084,0.547275,0.54466,0.542229,0.539973,0.537884,0.535951,0.534165,0.532518,0.531001,0.529604,0.528319,0.527138,0.526054,0.525058,0.524143,0.523303,0.522531,0.52182,0.521164,0.520559,0.519998,0.519476,0.518989,0.51853,0.518097,0.517685,0.517288,0.516903,0.516526,0.516152,0.515776,0.515396,0.515005,0.514601,0.514176,0.513727,0.513248,0.512732,0.512175,0.511567,0.510903,0.510174,0.509371,0.508484,0.507501,0.506412,0.505203,0.50386,0.502366,0.500703,0.498854,0.496795,0.494506,0.491958,0.489126,0.48598,0.482487,0.478613,0.474319,0.469569,0.464319,0.458526,0.452149},
{1.00162,1.0016,1.00157,1.00154,1.00151,1.00147,1.00143,1.00138,1.00132,1.00127,1.0012,1.00113,1.00105,1.00097,1.00088,1.00078,1.00067,1.00056,1.00043,1.0003,1.00016,1,0.99984,0.999664,0.999476,0.999275,0.99906,0.998831,0.998587,0.998326,0.998048,0.997752,0.997436,0.997101,0.996743,0.996363,0.995959,0.995529,0.995072,0.994586,0.99407,0.993523,0.992941,0.992324,0.991668,0.990973,0.990236,0.989455,0.988626,0.987748,0.986818,0.985833,0.98479,0.983686,0.982517,0.981281,0.979973,0.978591,0.977131,0.975587,0.973958,0.972237,0.970422,0.968507,0.966488,0.96436,0.962119,0.959759,0.957275,0.954663,0.951917,0.949033,0.946004,0.942827,0.939495,0.936004,0.932348,0.928523,0.924525,0.920349,0.915991,0.911446,0.906712,0.901786,0.896665,0.891347,0.885831,0.880117,0.874203,0.868092,0.861785,0.855284,0.848594,0.841718,0.834664,0.827437,0.820045,0.812498,0.804806,0.796981,0.789034,0.78098,0.772832,0.764608,0.756323,0.747995,0.739641,0.73128,0.722931,0.714613,0.706345,0.698147,0.690037,0.682034,0.674156,0.66642,0.658843,0.65144,0.644224,0.63721,0.630408,0.623828,0.61748,0.61137,0.605504,0.599886,0.594519,0.589403,0.584538,0.579923,0.575555,0.57143,0.567543,0.563888,0.560458,0.557247,0.554245,0.551444,0.548837,0.546413,0.544164,0.54208,0.540152,0.53837,0.536726,0.535211,0.533816,0.532532,0.531351,0.530266,0.529268,0.528351,0.527508,0.526731,0.526015,0.525353,0.52474,0.524171,0.523639,0.52314,0.522668,0.52222,0.52179,0.521374,0.520967,0.520566,0.520164,0.519758,0.519343,0.518914,0.518465,0.517992,0.517489,0.516949,0.516366,0.515732,0.51504,0.514282,0.513447,0.512527,0.511508,0.51038,0.509129,0.507739,0.506194,0.504477,0.502567,0.500443,0.498081,0.495455,0.492537,0.489297,0.485701,0.481715,0.4773,0.472417,0.467025,0.46108,0.454538,0.447353},
{1.00243,1.00243,1.00242,1.00241,1.00239,1.00237,1.00235,1.00232,1.00228,1.00224,1.00219,1.00214,1.00208,1.00201,1.00194,1.00185,1.00176,1.00166,1.00155,1.00144,1.00131,1.00117,1.00102,1.00086,1.00069,1.0005,1.0003,1.00008,0.999853,0.999606,0.999342,0.999061,0.998759,0.998438,0.998095,0.997729,0.99734,0.996925,0.996483,0.996012,0.995512,0.99498,0.994415,0.993814,0.993175,0.992498,0.991778,0.991014,0.990204,0.989345,0.988434,0.987468,0.986445,0.985362,0.984214,0.983,0.981715,0.980355,0.978918,0.977399,0.975794,0.974098,0.972309,0.97042,0.968428,0.966328,0.964115,0.961784,0.95933,0.956748,0.954034,0.951181,0.948185,0.94504,0.941742,0.938285,0.934664,0.930875,0.926913,0.922774,0.918453,0.913946,0.909251,0.904364,0.899283,0.894005,0.88853,0.882856,0.876984,0.870914,0.864649,0.858191,0.851543,0.84471,0.837699,0.830514,0.823166,0.815662,0.808012,0.800229,0.792325,0.784313,0.776208,0.768025,0.75978,0.751492,0.743178,0.734856,0.726545,0.718265,0.710034,0.701872,0.693797,0.685828,0.677983,0.670279,0.662733,0.655359,0.648173,0.641186,0.63441,0.627856,0.621532,0.615445,0.609601,0.604004,0.598656,0.593558,0.588711,0.584113,0.57976,0.575649,0.571775,0.568133,0.564714,0.561513,0.558521,0.555729,0.55313,0.550713,0.54847,0.546392,0.544469,0.542692,0.541051,0.539539,0.538146,0.536864,0.535684,0.534599,0.533601,0.532683,0.531838,0.531059,0.530339,0.529673,0.529055,0.528479,0.52794,0.527432,0.526951,0.526492,0.52605,0.525619,0.525197,0.524777,0.524355,0.523926,0.523485,0.523027,0.522547,0.522038,0.521494,0.52091,0.520276,0.519587,0.518832,0.518004,0.517092,0.516085,0.51497,0.513735,0.512364,0.510842,0.509151,0.50727,0.50518,0.502856,0.500274,0.497404,0.494218,0.490683,0.486765,0.482425,0.477625,0.472323,0.466477,0.460041,0.452973,0.445225},
{1.00324,1.00327,1.00328,1.0033,1.0033,1.00331,1.00331,1.0033,1.00329,1.00327,1.00324,1.00321,1.00317,1.00313,1.00307,1.00301,1.00294,1.00286,1.00277,1.00267,1.00256,1.00245,1.00231,1.00217,1.00202,1.00185,1.00166,1.00147,1.00125,1.00102,1.00078,1.00051,1.00023,0.999922,0.999595,0.999246,0.998873,0.998475,0.998049,0.997596,0.997113,0.996598,0.996049,0.995466,0.994845,0.994185,0.993484,0.992739,0.991947,0.991107,0.990216,0.98927,0.988268,0.987205,0.986079,0.984886,0.983623,0.982286,0.980872,0.979377,0.977796,0.976126,0.974361,0.972499,0.970534,0.968461,0.966275,0.963973,0.961548,0.958996,0.956312,0.95349,0.950526,0.947414,0.944149,0.940725,0.937139,0.933385,0.929459,0.925355,0.921071,0.916602,0.911945,0.907096,0.902053,0.896815,0.891379,0.885746,0.879914,0.873886,0.867662,0.861245,0.854639,0.847848,0.840878,0.833736,0.826429,0.818967,0.81136,0.803618,0.795755,0.787784,0.77972,0.771577,0.763373,0.755124,0.746848,0.738564,0.730291,0.722047,0.713852,0.705725,0.697684,0.689748,0.681935,0.674263,0.666746,0.659402,0.652243,0.645283,0.638533,0.632003,0.625702,0.619638,0.613815,0.608237,0.602908,0.597829,0.592998,0.588415,0.584077,0.57998,0.576119,0.572488,0.56908,0.565889,0.562905,0.560122,0.55753,0.555119,0.552882,0.550809,0.54889,0.547116,0.545478,0.543967,0.542575,0.541293,0.540113,0.539026,0.538026,0.537105,0.536255,0.535471,0.534745,0.534072,0.533445,0.532859,0.532308,0.531787,0.531291,0.530815,0.530354,0.529902,0.529455,0.529008,0.528555,0.528092,0.527613,0.527112,0.526583,0.526021,0.525417,0.524765,0.524057,0.523284,0.522437,0.521505,0.520478,0.519342,0.518084,0.51669,0.515143,0.513425,0.511516,0.509395,0.507038,0.504419,0.501511,0.498284,0.494705,0.490738,0.486347,0.481492,0.476132,0.470222,0.46372,0.45658,0.448757,0.440208},
{1.00405,1.0041,1.00415,1.00419,1.00422,1.00425,1.00428,1.0043,1.00431,1.00432,1.00432,1.00432,1.00431,1.00429,1.00426,1.00422,1.00418,1.00412,1.00406,1.00399,1.0039,1.00381,1.0037,1.00358,1.00345,1.0033,1.00314,1.00296,1.00277,1.00256,1.00233,1.00209,1.00182,1.00154,1.00123,1.0009,1.00055,1.00017,0.999763,0.999328,0.998864,0.998368,0.997839,0.997274,0.996673,0.996032,0.99535,0.994624,0.993853,0.993033,0.992162,0.991237,0.990255,0.989214,0.988109,0.986938,0.985698,0.984384,0.982994,0.981522,0.979966,0.97832,0.976581,0.974745,0.972806,0.97076,0.968602,0.966328,0.963933,0.96141,0.958756,0.955965,0.953032,0.949951,0.946719,0.943328,0.939776,0.936056,0.932165,0.928097,0.923849,0.919416,0.914796,0.909985,0.904981,0.899781,0.894384,0.88879,0.882998,0.87701,0.870826,0.86445,0.857884,0.851135,0.844206,0.837104,0.829839,0.822418,0.814851,0.80715,0.799328,0.791397,0.783372,0.775269,0.767103,0.758893,0.750655,0.742409,0.734172,0.725964,0.717803,0.70971,0.701702,0.693799,0.686017,0.678375,0.670887,0.663571,0.656439,0.649505,0.64278,0.636274,0.629996,0.623953,0.61815,0.612592,0.607282,0.602219,0.597405,0.592837,0.588513,0.584429,0.58058,0.57696,0.573563,0.570381,0.567406,0.564631,0.562045,0.559641,0.557409,0.55534,0.553425,0.551654,0.550019,0.54851,0.547118,0.545836,0.544655,0.543567,0.542564,0.54164,0.540786,0.539996,0.539264,0.538583,0.537947,0.53735,0.536788,0.536254,0.535743,0.535249,0.534768,0.534294,0.533823,0.533348,0.532864,0.532366,0.531848,0.531304,0.530727,0.53011,0.529446,0.528727,0.527943,0.527086,0.526146,0.52511,0.523966,0.522701,0.5213,0.519747,0.518023,0.516109,0.513983,0.511622,0.509001,0.50609,0.502861,0.49928,0.495313,0.490923,0.486069,0.480712,0.474806,0.468309,0.461176,0.45336,0.44482,0.435515},
{1.00483,1.00491,1.00499,1.00506,1.00513,1.00519,1.00525,1.0053,1.00534,1.00538,1.00542,1.00544,1.00546,1.00547,1.00548,1.00547,1.00546,1.00543,1.0054,1.00536,1.0053,1.00523,1.00515,1.00506,1.00495,1.00483,1.0047,1.00455,1.00438,1.0042,1.004,1.00378,1.00354,1.00327,1.00299,1.00268,1.00235,1.002,1.00161,1.0012,1.00076,1.00028,0.999774,0.999231,0.99865,0.998031,0.99737,0.996666,0.995916,0.995117,0.994268,0.993365,0.992405,0.991386,0.990304,0.989156,0.987939,0.986648,0.985282,0.983834,0.982302,0.980682,0.978969,0.977158,0.975246,0.973227,0.971097,0.968851,0.966484,0.963991,0.961366,0.958606,0.955703,0.952654,0.949454,0.946096,0.942577,0.938891,0.935034,0.931001,0.926788,0.922392,0.917808,0.913034,0.908067,0.902905,0.897547,0.891991,0.886238,0.880289,0.874145,0.867808,0.861283,0.854573,0.847684,0.840623,0.833397,0.826016,0.818489,0.810828,0.803045,0.795153,0.787167,0.779103,0.770975,0.762802,0.754601,0.74639,0.738189,0.730015,0.721889,0.713829,0.705853,0.697981,0.69023,0.682616,0.675157,0.667868,0.660763,0.653854,0.647153,0.64067,0.634413,0.628391,0.622608,0.617069,0.611776,0.60673,0.601931,0.597377,0.593067,0.588995,0.585158,0.581548,0.578161,0.574987,0.57202,0.569251,0.566672,0.564273,0.562046,0.55998,0.558067,0.556298,0.554664,0.553155,0.551763,0.550479,0.549295,0.548203,0.547196,0.546265,0.545404,0.544606,0.543863,0.543171,0.542522,0.541911,0.541331,0.540778,0.540245,0.539727,0.539219,0.538714,0.538208,0.537694,0.537167,0.536621,0.536049,0.535444,0.5348,0.534108,0.53336,0.532547,0.531659,0.530686,0.529615,0.528436,0.527132,0.525689,0.524091,0.522318,0.520351,0.518168,0.515745,0.513056,0.510072,0.506763,0.503095,0.499035,0.494543,0.48958,0.484104,0.478072,0.471439,0.464162,0.456193,0.447491,0.438016,0.427731},
{1.00559,1.0057,1.0058,1.00591,1.00601,1.0061,1.0062,1.00628,1.00636,1.00644,1.00651,1.00657,1.00662,1.00667,1.00671,1.00674,1.00676,1.00677,1.00677,1.00676,1.00674,1.0067,1.00666,1.0066,1.00652,1.00643,1.00633,1.00621,1.00608,1.00592,1.00575,1.00556,1.00535,1.00511,1.00486,1.00458,1.00427,1.00394,1.00358,1.0032,1.00278,1.00233,1.00185,1.00133,1.00077,1.00017,0.999537,0.998857,0.99813,0.997355,0.996529,0.995649,0.994713,0.993718,0.99266,0.991536,0.990343,0.989077,0.987735,0.986312,0.984806,0.983211,0.981524,0.97974,0.977854,0.975863,0.973761,0.971543,0.969204,0.96674,0.964145,0.961415,0.958543,0.955526,0.952357,0.949032,0.945545,0.941893,0.93807,0.934071,0.929893,0.925532,0.920984,0.916246,0.911316,0.906191,0.90087,0.895353,0.889638,0.883727,0.877622,0.871324,0.864837,0.858167,0.851317,0.844295,0.837109,0.829767,0.822279,0.814657,0.806912,0.799059,0.791111,0.783083,0.774993,0.766856,0.758691,0.750516,0.742349,0.734209,0.726116,0.718088,0.710144,0.702302,0.69458,0.686995,0.679564,0.672301,0.665221,0.658337,0.651659,0.645199,0.638964,0.632962,0.627198,0.621677,0.616401,0.611372,0.606588,0.602049,0.597752,0.593693,0.589867,0.586268,0.58289,0.579726,0.576767,0.574006,0.571433,0.56904,0.566818,0.564757,0.562849,0.561083,0.559451,0.557944,0.556553,0.55527,0.554086,0.552994,0.551985,0.551052,0.550188,0.549386,0.54864,0.547942,0.547287,0.546668,0.54608,0.545516,0.544972,0.544441,0.543919,0.543398,0.542873,0.542339,0.541789,0.541217,0.540617,0.53998,0.539299,0.538567,0.537775,0.536912,0.535969,0.534934,0.533796,0.53254,0.531152,0.529615,0.527913,0.526026,0.523932,0.521609,0.519031,0.516171,0.512999,0.509485,0.505592,0.501285,0.496526,0.491271,0.48548,0.479108,0.472109,0.464441,0.456057,0.446916,0.436981,0.426218},
{1.0063,1.00644,1.00658,1.00672,1.00686,1.00699,1.00712,1.00724,1.00736,1.00747,1.00758,1.00768,1.00777,1.00785,1.00793,1.008,1.00806,1.00811,1.00815,1.00818,1.00819,1.0082,1.00819,1.00817,1.00813,1.00808,1.00801,1.00793,1.00783,1.00771,1.00757,1.00742,1.00724,1.00704,1.00681,1.00657,1.00629,1.00599,1.00566,1.00531,1.00492,1.0045,1.00404,1.00355,1.00302,1.00245,1.00184,1.00119,1.00049,0.999739,0.998939,0.998085,0.997174,0.996204,0.995172,0.994073,0.992906,0.991666,0.99035,0.988954,0.987474,0.985905,0.984245,0.982488,0.98063,0.978666,0.976592,0.974403,0.972093,0.969658,0.967093,0.964393,0.961552,0.958566,0.955428,0.952135,0.948681,0.945062,0.941272,0.937308,0.933164,0.928838,0.924325,0.919623,0.914729,0.909641,0.904357,0.898876,0.893199,0.887326,0.881258,0.874998,0.86855,0.861918,0.855106,0.848123,0.840975,0.833671,0.826221,0.818637,0.81093,0.803114,0.795202,0.787211,0.779157,0.771055,0.762925,0.754784,0.746651,0.738544,0.730482,0.722485,0.714572,0.706759,0.699066,0.691509,0.684104,0.676867,0.669812,0.662951,0.656296,0.649857,0.643642,0.63766,0.631915,0.626411,0.621151,0.616137,0.611368,0.606842,0.602557,0.59851,0.594694,0.591105,0.587736,0.58458,0.581629,0.578874,0.576306,0.573918,0.5717,0.569642,0.567736,0.565971,0.56434,0.562833,0.561441,0.560156,0.558969,0.557873,0.556859,0.55592,0.555049,0.554238,0.553482,0.552772,0.552104,0.55147,0.550865,0.550283,0.549717,0.549162,0.548612,0.548061,0.547503,0.54693,0.546338,0.545718,0.545064,0.544368,0.543622,0.542816,0.541941,0.540987,0.539942,0.538795,0.53753,0.536135,0.534592,0.532884,0.530991,0.528893,0.526566,0.523986,0.521124,0.517952,0.514438,0.510547,0.506243,0.501488,0.496239,0.490456,0.484093,0.477105,0.469449,0.461079,0.451953,0.442034,0.431286,0.419685},
{1.00697,1.00715,1.00733,1.0075,1.00767,1.00784,1.00801,1.00817,1.00832,1.00847,1.00862,1.00876,1.0089,1.00902,1.00914,1.00925,1.00935,1.00945,1.00953,1.0096,1.00966,1.00971,1.00974,1.00976,1.00977,1.00976,1.00973,1.00969,1.00963,1.00955,1.00945,1.00934,1.0092,1.00903,1.00885,1.00863,1.0084,1.00813,1.00784,1.00752,1.00716,1.00677,1.00635,1.00589,1.00539,1.00485,1.00428,1.00365,1.00298,1.00226,1.00149,1.00066,0.999781,0.99884,0.997835,0.996765,0.995625,0.994413,0.993124,0.991756,0.990303,0.988763,0.98713,0.985401,0.983572,0.981637,0.979591,0.977431,0.975151,0.972746,0.970211,0.967541,0.964731,0.961776,0.95867,0.955409,0.951988,0.948401,0.944645,0.940714,0.936605,0.932313,0.927835,0.923168,0.91831,0.913257,0.908009,0.902565,0.896925,0.891089,0.885058,0.878836,0.872425,0.86583,0.859056,0.85211,0.844999,0.837733,0.83032,0.822773,0.815103,0.807323,0.799447,0.791492,0.783472,0.775406,0.767309,0.759201,0.751101,0.743026,0.734995,0.727029,0.719144,0.711361,0.703695,0.696165,0.688786,0.681574,0.674542,0.667704,0.661071,0.654653,0.648459,0.642495,0.636768,0.631281,0.626038,0.621039,0.616284,0.611771,0.607499,0.603463,0.599658,0.596079,0.592719,0.589571,0.586626,0.583878,0.581317,0.578934,0.57672,0.574666,0.572763,0.571002,0.569372,0.567866,0.566475,0.56519,0.564002,0.562904,0.561888,0.560946,0.560071,0.559256,0.558494,0.557778,0.557102,0.556459,0.555844,0.55525,0.554671,0.554101,0.553534,0.552964,0.552384,0.551789,0.55117,0.55052,0.549833,0.5491,0.548313,0.547461,0.546535,0.545524,0.544417,0.543199,0.541857,0.540375,0.538737,0.536923,0.534913,0.532686,0.530217,0.527479,0.524445,0.521084,0.517362,0.513244,0.508693,0.503668,0.498127,0.492028,0.485325,0.477975,0.46993,0.461149,0.45159,0.441218,0.430001,0.417918},
{1.00761,1.00782,1.00803,1.00824,1.00845,1.00865,1.00886,1.00906,1.00925,1.00945,1.00963,1.00982,1.00999,1.01016,1.01033,1.01048,1.01063,1.01077,1.0109,1.01101,1.01112,1.01121,1.01129,1.01136,1.01141,1.01145,1.01147,1.01148,1.01146,1.01143,1.01137,1.0113,1.0112,1.01108,1.01094,1.01077,1.01057,1.01035,1.0101,1.00981,1.00949,1.00914,1.00876,1.00834,1.00787,1.00737,1.00683,1.00624,1.0056,1.00491,1.00417,1.00338,1.00253,1.00162,1.00064,0.999603,0.998493,0.997311,0.996052,0.994713,0.993291,0.99178,0.990177,0.988478,0.986677,0.984772,0.982757,0.980626,0.978376,0.976002,0.973498,0.970859,0.96808,0.965156,0.962083,0.958854,0.955465,0.951911,0.948188,0.94429,0.940215,0.935957,0.931514,0.926882,0.922059,0.917042,0.91183,0.906421,0.900817,0.895017,0.889023,0.882837,0.876463,0.869905,0.863168,0.856258,0.849184,0.841954,0.834578,0.827066,0.819432,0.811687,0.803847,0.795926,0.78794,0.779907,0.771843,0.763768,0.755699,0.747655,0.739654,0.731717,0.723861,0.716105,0.708466,0.700962,0.693608,0.68642,0.679411,0.672595,0.665983,0.659585,0.65341,0.647464,0.641754,0.636284,0.631055,0.62607,0.621329,0.616829,0.612568,0.608542,0.604747,0.601177,0.597825,0.594684,0.591746,0.589003,0.586447,0.584068,0.581858,0.579806,0.577905,0.576144,0.574515,0.573009,0.571616,0.570328,0.569137,0.568035,0.567014,0.566065,0.565183,0.564359,0.563586,0.562858,0.562169,0.561511,0.560878,0.560264,0.559664,0.559069,0.558474,0.557873,0.557259,0.556624,0.555962,0.555265,0.554524,0.553731,0.552877,0.551951,0.550943,0.54984,0.54863,0.547299,0.545832,0.544211,0.542418,0.540433,0.538235,0.535799,0.5331,0.53011,0.526798,0.523131,0.519075,0.514593,0.509644,0.504187,0.49818,0.491578,0.484335,0.476407,0.467749,0.45832,0.448084,0.437006,0.425064,0.412243},
{1.0082,1.00845,1.00869,1.00894,1.00918,1.00943,1.00967,1.00991,1.01015,1.01038,1.01061,1.01084,1.01106,1.01128,1.01149,1.01169,1.01188,1.01207,1.01224,1.01241,1.01257,1.01271,1.01284,1.01296,1.01306,1.01315,1.01322,1.01327,1.01331,1.01333,1.01332,1.0133,1.01325,1.01318,1.01308,1.01296,1.01281,1.01263,1.01242,1.01218,1.01191,1.0116,1.01126,1.01087,1.01045,1.00999,1.00948,1.00893,1.00833,1.00768,1.00698,1.00622,1.0054,1.00453,1.00359,1.00258,1.00151,1.00036,0.99913,0.997823,0.996432,0.994953,0.993381,0.991714,0.989945,0.988071,0.986086,0.983987,0.981769,0.979426,0.976953,0.974346,0.971599,0.968708,0.965666,0.96247,0.959114,0.955593,0.951903,0.948039,0.943998,0.939774,0.935365,0.930768,0.925979,0.920997,0.915821,0.910448,0.904879,0.899115,0.893157,0.887007,0.880669,0.874147,0.867445,0.860572,0.853534,0.846339,0.838998,0.831522,0.823922,0.816212,0.808406,0.800518,0.792566,0.784565,0.776534,0.76849,0.760451,0.752437,0.744466,0.736557,0.728729,0.721,0.713387,0.705908,0.698578,0.691413,0.684427,0.677632,0.671041,0.664662,0.658505,0.652578,0.646884,0.641429,0.636216,0.631245,0.626516,0.622028,0.617779,0.613764,0.609978,0.606417,0.603073,0.59994,0.597009,0.594272,0.591722,0.589347,0.587141,0.585093,0.583194,0.581436,0.579808,0.578303,0.57691,0.575622,0.57443,0.573326,0.572302,0.571351,0.570464,0.569635,0.568856,0.568122,0.567424,0.566757,0.566114,0.565489,0.564875,0.564265,0.563654,0.563034,0.562398,0.56174,0.561051,0.560324,0.55955,0.558721,0.557826,0.556855,0.555796,0.554637,0.553366,0.551966,0.550422,0.548717,0.54683,0.544743,0.542431,0.53987,0.537033,0.533892,0.530414,0.526566,0.522312,0.517614,0.512431,0.506721,0.50044,0.493544,0.485987,0.477724,0.468712,0.458911,0.448286,0.436806,0.424452,0.411212},
{1.00876,1.00904,1.00932,1.0096,1.00988,1.01016,1.01044,1.01072,1.011,1.01127,1.01155,1.01182,1.01209,1.01235,1.01261,1.01286,1.0131,1.01334,1.01357,1.01378,1.01399,1.01419,1.01437,1.01454,1.0147,1.01484,1.01497,1.01508,1.01516,1.01524,1.01528,1.01531,1.01532,1.0153,1.01526,1.01518,1.01509,1.01496,1.0148,1.01461,1.01438,1.01413,1.01383,1.01349,1.01312,1.0127,1.01224,1.01173,1.01117,1.01056,1.0099,1.00918,1.0084,1.00757,1.00666,1.00569,1.00465,1.00354,1.00235,1.00108,0.999722,0.998277,0.99674,0.995105,0.99337,0.991529,0.989578,0.987512,0.985326,0.983016,0.980576,0.978001,0.975287,0.972429,0.96942,0.966257,0.962934,0.959447,0.95579,0.95196,0.947953,0.943763,0.939389,0.934826,0.930072,0.925125,0.919983,0.914645,0.909112,0.903383,0.89746,0.891346,0.885043,0.878556,0.87189,0.865052,0.858048,0.850888,0.843582,0.83614,0.828574,0.820897,0.813124,0.80527,0.797349,0.78938,0.78138,0.773366,0.765357,0.757372,0.74943,0.741548,0.733747,0.726043,0.718455,0.711,0.703694,0.696551,0.689586,0.682812,0.67624,0.66988,0.66374,0.657829,0.652151,0.646711,0.641512,0.636554,0.631837,0.62736,0.623121,0.619116,0.615339,0.611786,0.608449,0.605322,0.602397,0.599665,0.597118,0.594747,0.592543,0.590497,0.588599,0.586841,0.585212,0.583705,0.58231,0.581019,0.579822,0.578713,0.577683,0.576723,0.575827,0.574988,0.574198,0.573449,0.572736,0.572052,0.571389,0.570742,0.570103,0.569465,0.568823,0.568168,0.567494,0.566792,0.566055,0.565275,0.564441,0.563545,0.562576,0.561523,0.560373,0.559113,0.557728,0.556204,0.554522,0.552663,0.550608,0.548333,0.545815,0.543027,0.539941,0.536525,0.532746,0.52857,0.523957,0.518869,0.513263,0.507095,0.500322,0.492897,0.484777,0.475916,0.466273,0.455812,0.444502,0.432318,0.419248,0.405291},
{1.00928,1.00959,1.0099,1.01021,1.01053,1.01085,1.01117,1.01149,1.01181,1.01213,1.01245,1.01276,1.01308,1.01339,1.01369,1.01399,1.01429,1.01458,1.01486,1.01513,1.01539,1.01564,1.01588,1.01611,1.01632,1.01652,1.0167,1.01687,1.01702,1.01715,1.01725,1.01734,1.0174,1.01744,1.01746,1.01744,1.0174,1.01733,1.01722,1.01709,1.01692,1.01671,1.01647,1.01618,1.01586,1.01549,1.01508,1.01461,1.0141,1.01354,1.01292,1.01225,1.01152,1.01072,1.00986,1.00893,1.00793,1.00686,1.00571,1.00447,1.00316,1.00175,1.00025,0.998649,0.996949,0.995144,0.993228,0.991197,0.989046,0.98677,0.984364,0.981824,0.979144,0.976319,0.973345,0.970216,0.966927,0.963474,0.959852,0.956056,0.952082,0.947927,0.943587,0.939059,0.93434,0.929427,0.92432,0.919017,0.913519,0.907825,0.901937,0.895857,0.889589,0.883137,0.876506,0.869702,0.862733,0.855607,0.848335,0.840926,0.833393,0.825749,0.818009,0.810186,0.802297,0.794359,0.786388,0.778404,0.770424,0.762467,0.754552,0.746698,0.738922,0.731243,0.72368,0.716248,0.708964,0.701843,0.694899,0.688144,0.681591,0.675249,0.669127,0.663232,0.657569,0.652144,0.646958,0.642012,0.637308,0.632842,0.628613,0.624618,0.62085,0.617304,0.613975,0.610855,0.607935,0.605209,0.602667,0.6003,0.598099,0.596056,0.59416,0.592403,0.590776,0.589269,0.587873,0.586581,0.585383,0.584271,0.583237,0.582274,0.581373,0.580528,0.579731,0.578975,0.578253,0.577558,0.576884,0.576223,0.575569,0.574915,0.574254,0.573579,0.572881,0.572154,0.571388,0.570575,0.569706,0.56877,0.567756,0.566654,0.565449,0.564129,0.562677,0.561078,0.559314,0.557365,0.55521,0.552825,0.550186,0.547265,0.544033,0.540456,0.536503,0.532136,0.527316,0.522003,0.516153,0.509723,0.502669,0.494943,0.486503,0.477303,0.467305,0.456474,0.44478,0.432203,0.418734,0.404379},
{1.00976,1.0101,1.01045,1.0108,1.01115,1.0115,1.01186,1.01222,1.01258,1.01294,1.01331,1.01367,1.01403,1.01439,1.01474,1.01509,1.01544,1.01578,1.01611,1.01644,1.01676,1.01707,1.01736,1.01765,1.01792,1.01818,1.01842,1.01865,1.01886,1.01905,1.01922,1.01937,1.01949,1.01959,1.01967,1.01972,1.01973,1.01972,1.01968,1.0196,1.01949,1.01934,1.01916,1.01893,1.01866,1.01835,1.01799,1.01758,1.01712,1.01661,1.01604,1.01542,1.01473,1.01399,1.01317,1.01229,1.01134,1.0103,1.0092,1.008,1.00673,1.00536,1.0039,1.00234,1.00068,0.998911,0.997033,0.995039,0.992925,0.990685,0.988316,0.985811,0.983167,0.980378,0.977439,0.974345,0.971091,0.967672,0.964085,0.960324,0.956386,0.952265,0.94796,0.943466,0.938782,0.933904,0.928832,0.923564,0.9181,0.912441,0.906587,0.900542,0.894309,0.887891,0.881293,0.874523,0.867588,0.860495,0.853256,0.84588,0.838379,0.830768,0.823058,0.815266,0.807408,0.799499,0.791558,0.783603,0.77565,0.767721,0.759832,0.752003,0.744252,0.736598,0.729057,0.721647,0.714385,0.707284,0.70036,0.693624,0.687089,0.680764,0.674658,0.668778,0.66313,0.657717,0.652544,0.64761,0.642916,0.638461,0.634241,0.630254,0.626494,0.622955,0.619632,0.616517,0.613602,0.610879,0.608339,0.605975,0.603775,0.601733,0.599837,0.598079,0.596449,0.594939,0.59354,0.592242,0.591038,0.589919,0.588877,0.587904,0.586992,0.586134,0.585322,0.58455,0.583809,0.583093,0.582395,0.581708,0.581025,0.580338,0.57964,0.578923,0.578179,0.577401,0.576578,0.575702,0.574762,0.573748,0.572647,0.571448,0.570136,0.568697,0.567114,0.565369,0.563444,0.561317,0.558965,0.556364,0.553486,0.550303,0.546783,0.542892,0.538595,0.533853,0.528625,0.52287,0.516544,0.509601,0.501996,0.493685,0.484623,0.474769,0.464087,0.452546,0.440123,0.426807,0.412596,0.39751},
{1.01022,1.01059,1.01096,1.01134,1.01173,1.01212,1.01251,1.01291,1.01331,1.01372,1.01412,1.01453,1.01494,1.01534,1.01575,1.01615,1.01655,1.01694,1.01733,1.01771,1.01809,1.01846,1.01881,1.01916,1.01949,1.01981,1.02012,1.02041,1.02068,1.02094,1.02117,1.02139,1.02158,1.02175,1.02189,1.022,1.02208,1.02214,1.02216,1.02215,1.0221,1.02202,1.02189,1.02173,1.02152,1.02127,1.02097,1.02062,1.02022,1.01976,1.01925,1.01868,1.01805,1.01735,1.01659,1.01576,1.01485,1.01387,1.01281,1.01166,1.01043,1.00911,1.00769,1.00617,1.00455,1.00283,1.00099,0.999035,0.99696,0.994759,0.992428,0.989961,0.987355,0.984603,0.9817,0.978643,0.975425,0.972043,0.968491,0.964766,0.960863,0.956778,0.952508,0.94805,0.9434,0.938558,0.93352,0.928287,0.922858,0.917233,0.911414,0.905403,0.899203,0.892819,0.886255,0.879519,0.872616,0.865556,0.858349,0.851005,0.843536,0.835956,0.828277,0.820515,0.812686,0.804806,0.796894,0.788965,0.78104,0.773137,0.765273,0.757469,0.749742,0.742111,0.734592,0.727204,0.719962,0.712881,0.705975,0.699257,0.692739,0.68643,0.680339,0.674473,0.668839,0.663439,0.658277,0.653354,0.648671,0.644224,0.640013,0.636033,0.63228,0.628747,0.625429,0.622318,0.619406,0.616686,0.614149,0.611785,0.609586,0.607542,0.605644,0.603884,0.602251,0.600736,0.599331,0.598027,0.596814,0.595685,0.594632,0.593646,0.59272,0.591845,0.591014,0.59022,0.589456,0.588714,0.587986,0.587265,0.586545,0.585816,0.585072,0.584303,0.583502,0.58266,0.581766,0.58081,0.579783,0.578671,0.577462,0.576142,0.574697,0.57311,0.571364,0.569438,0.567313,0.564966,0.562371,0.559503,0.556331,0.552825,0.548952,0.544675,0.539956,0.534756,0.529032,0.52274,0.515836,0.508274,0.500009,0.490997,0.481195,0.470567,0.459082,0.446714,0.433449,0.419286,0.40424,0.388342},
{1.01064,1.01104,1.01144,1.01185,1.01227,1.0127,1.01313,1.01357,1.01401,1.01445,1.0149,1.01535,1.01581,1.01626,1.01671,1.01717,1.01762,1.01807,1.01851,1.01895,1.01938,1.01981,1.02023,1.02064,1.02103,1.02142,1.02179,1.02215,1.02249,1.02281,1.02311,1.02339,1.02365,1.02389,1.0241,1.02428,1.02444,1.02456,1.02466,1.02471,1.02473,1.02472,1.02466,1.02456,1.02442,1.02424,1.024,1.02371,1.02338,1.02298,1.02253,1.02202,1.02145,1.02081,1.0201,1.01933,1.01847,1.01754,1.01653,1.01544,1.01426,1.01298,1.01161,1.01014,1.00857,1.00689,1.00509,1.00318,1.00115,0.99899,0.9967,0.994274,0.991707,0.988994,0.98613,0.983111,0.979931,0.976587,0.973072,0.969384,0.965517,0.961469,0.957235,0.952813,0.948199,0.943392,0.938389,0.933191,0.927797,0.922206,0.916422,0.910445,0.904279,0.897929,0.891398,0.884695,0.877825,0.870798,0.863622,0.85631,0.848872,0.841322,0.833673,0.825941,0.818141,0.81029,0.802405,0.794503,0.786605,0.778727,0.770888,0.763108,0.755404,0.747796,0.740299,0.732932,0.72571,0.718648,0.711761,0.705061,0.698559,0.692266,0.686191,0.68034,0.674718,0.669332,0.664182,0.659271,0.654597,0.650161,0.645959,0.641988,0.638242,0.634717,0.631406,0.628301,0.625395,0.62268,0.620147,0.617788,0.615592,0.613552,0.611657,0.609899,0.608268,0.606755,0.605351,0.604047,0.602835,0.601706,0.600652,0.599666,0.598738,0.597861,0.597028,0.596231,0.595464,0.594717,0.593985,0.593259,0.592533,0.591798,0.591046,0.590269,0.589459,0.588606,0.5877,0.586732,0.58569,0.584563,0.583337,0.581998,0.580532,0.578922,0.57715,0.575197,0.573042,0.570662,0.568031,0.565123,0.561908,0.558356,0.554432,0.5501,0.545323,0.540059,0.534267,0.527902,0.52092,0.513274,0.50492,0.495815,0.485915,0.475183,0.463589,0.451108,0.437725,0.423441,0.408269,0.392241},
{1.01103,1.01146,1.01189,1.01233,1.01279,1.01325,1.01371,1.01419,1.01467,1.01515,1.01564,1.01614,1.01664,1.01714,1.01764,1.01814,1.01865,1.01915,1.01965,1.02015,1.02064,1.02112,1.0216,1.02208,1.02254,1.02299,1.02343,1.02385,1.02426,1.02465,1.02503,1.02538,1.02571,1.02602,1.02631,1.02656,1.02679,1.02699,1.02716,1.02729,1.02738,1.02744,1.02746,1.02743,1.02736,1.02724,1.02708,1.02686,1.02659,1.02627,1.02588,1.02544,1.02493,1.02435,1.02371,1.02299,1.0222,1.02132,1.02037,1.01933,1.0182,1.01698,1.01566,1.01424,1.01272,1.01109,1.00934,1.00747,1.00549,1.00337,1.00113,0.998743,0.996218,0.993547,0.990724,0.987745,0.984606,0.9813,0.977825,0.974174,0.970346,0.966335,0.962138,0.957752,0.953175,0.948404,0.943437,0.938274,0.932915,0.927359,0.921609,0.915667,0.909535,0.903218,0.89672,0.890049,0.883212,0.876216,0.869073,0.861791,0.854384,0.846863,0.839244,0.83154,0.823768,0.815945,0.808087,0.800212,0.792338,0.784485,0.776671,0.768914,0.761232,0.753645,0.74617,0.738822,0.731619,0.724576,0.717706,0.711023,0.704537,0.698259,0.692198,0.68636,0.680752,0.675377,0.670239,0.665338,0.660674,0.656247,0.652053,0.648089,0.644351,0.640832,0.637526,0.634426,0.631525,0.628814,0.626284,0.623927,0.621734,0.619695,0.617801,0.616043,0.614411,0.612897,0.611491,0.610185,0.60897,0.607837,0.606779,0.605786,0.604852,0.603968,0.603126,0.60232,0.601541,0.600782,0.600035,0.599294,0.59855,0.597795,0.597021,0.596219,0.595382,0.594498,0.593559,0.592553,0.59147,0.590296,0.589019,0.587623,0.586095,0.584416,0.582568,0.580531,0.578283,0.5758,0.573058,0.570027,0.566678,0.562979,0.558895,0.554389,0.549422,0.543953,0.537939,0.531336,0.524098,0.516179,0.507535,0.498123,0.487901,0.476833,0.464891,0.452052,0.438306,0.423657,0.408122,0.391742},
{1.01139,1.01185,1.01231,1.01278,1.01327,1.01376,1.01426,1.01477,1.01529,1.01581,1.01634,1.01688,1.01743,1.01797,1.01853,1.01908,1.01963,1.02019,1.02075,1.0213,1.02185,1.0224,1.02294,1.02348,1.02401,1.02452,1.02503,1.02552,1.026,1.02647,1.02692,1.02734,1.02775,1.02814,1.0285,1.02883,1.02914,1.02941,1.02966,1.02986,1.03004,1.03017,1.03027,1.03032,1.03032,1.03028,1.03019,1.03005,1.02986,1.0296,1.02929,1.02891,1.02848,1.02797,1.02739,1.02674,1.02601,1.0252,1.02431,1.02333,1.02226,1.02109,1.01983,1.01847,1.017,1.01542,1.01372,1.01191,1.00997,1.0079,1.0057,1.00337,1.00089,0.998259,0.99548,0.992544,0.989446,0.986181,0.982746,0.979136,0.975347,0.971375,0.967216,0.962868,0.958328,0.953593,0.948663,0.943536,0.938212,0.932692,0.926976,0.921068,0.91497,0.908686,0.902222,0.895583,0.888777,0.881813,0.8747,0.867449,0.860072,0.85258,0.84499,0.837314,0.829569,0.821772,0.81394,0.80609,0.798242,0.790412,0.782621,0.774886,0.767226,0.759659,0.752203,0.744875,0.73769,0.730664,0.72381,0.717142,0.710671,0.704407,0.698359,0.692533,0.686936,0.681572,0.676443,0.671551,0.666896,0.662476,0.658289,0.654331,0.650597,0.647082,0.64378,0.640683,0.637784,0.635074,0.632544,0.630187,0.627992,0.625951,0.624053,0.622291,0.620654,0.619133,0.61772,0.616404,0.615179,0.614034,0.612962,0.611953,0.611001,0.610097,0.609233,0.608402,0.607595,0.606804,0.606023,0.605243,0.604455,0.603651,0.602824,0.601962,0.601058,0.600101,0.599079,0.597982,0.596798,0.595512,0.59411,0.592578,0.590897,0.58905,0.587016,0.584774,0.5823,0.579568,0.576552,0.573221,0.569543,0.565484,0.561007,0.556073,0.550642,0.544671,0.538114,0.530928,0.523066,0.514483,0.505136,0.494983,0.483986,0.472115,0.459348,0.445671,0.431084,0.415604,0.399264,0.382119},
{1.01173,1.01221,1.0127,1.0132,1.01372,1.01424,1.01478,1.01532,1.01588,1.01644,1.01701,1.01759,1.01818,1.01877,1.01937,1.01998,1.02058,1.02119,1.0218,1.02242,1.02303,1.02363,1.02424,1.02484,1.02543,1.02602,1.0266,1.02716,1.02771,1.02825,1.02878,1.02928,1.02976,1.03023,1.03067,1.03108,1.03147,1.03182,1.03215,1.03244,1.03269,1.03291,1.03309,1.03322,1.03331,1.03335,1.03334,1.03328,1.03316,1.03298,1.03275,1.03245,1.03208,1.03165,1.03114,1.03056,1.0299,1.02916,1.02834,1.02743,1.02642,1.02532,1.02412,1.02281,1.0214,1.01988,1.01824,1.01648,1.01459,1.01258,1.01043,1.00814,1.00571,1.00313,1.0004,0.997506,0.994452,0.991231,0.987839,0.984271,0.980522,0.976591,0.972472,0.968163,0.963661,0.958964,0.954071,0.948981,0.943693,0.938209,0.932528,0.926654,0.92059,0.91434,0.907908,0.901302,0.894528,0.887596,0.880513,0.873292,0.865944,0.858482,0.850919,0.843271,0.835553,0.827782,0.819975,0.81215,0.804325,0.796519,0.788749,0.781036,0.773397,0.76585,0.758413,0.751103,0.743936,0.736926,0.730088,0.723435,0.716979,0.710728,0.704692,0.698878,0.693292,0.687938,0.682819,0.677936,0.673288,0.668876,0.664695,0.660743,0.657015,0.653505,0.650206,0.647112,0.644215,0.641507,0.638979,0.636622,0.634426,0.632384,0.630485,0.62872,0.627079,0.625554,0.624135,0.622813,0.62158,0.620426,0.619344,0.618324,0.617359,0.61644,0.61556,0.614709,0.613881,0.613068,0.61226,0.611451,0.610631,0.609791,0.608923,0.608017,0.607064,0.606051,0.604969,0.603804,0.602545,0.601176,0.599683,0.598049,0.596256,0.594285,0.592115,0.589723,0.587083,0.584171,0.580955,0.577406,0.57349,0.569171,0.564411,0.55917,0.553406,0.547076,0.540134,0.532534,0.524231,0.515181,0.50534,0.494669,0.483134,0.470708,0.457374,0.443124,0.427965,0.411925,0.395046,0.377391},
{1.01205,1.01255,1.01307,1.0136,1.01414,1.01469,1.01526,1.01584,1.01643,1.01703,1.01764,1.01826,1.0189,1.01953,1.02018,1.02083,1.02149,1.02215,1.02282,1.02349,1.02416,1.02483,1.0255,1.02616,1.02682,1.02748,1.02812,1.02876,1.02939,1.03,1.0306,1.03118,1.03175,1.03229,1.03281,1.03331,1.03378,1.03422,1.03463,1.03501,1.03535,1.03565,1.03591,1.03613,1.0363,1.03643,1.03651,1.03653,1.03649,1.0364,1.03625,1.03603,1.03575,1.03539,1.03496,1.03446,1.03388,1.03321,1.03246,1.03161,1.03068,1.02964,1.02851,1.02727,1.02592,1.02446,1.02288,1.02118,1.01935,1.01739,1.0153,1.01306,1.01068,1.00815,1.00547,1.00263,0.999622,0.996447,0.9931,0.989575,0.98587,0.981981,0.977904,0.973635,0.969173,0.964516,0.959661,0.954609,0.949358,0.94391,0.938265,0.932426,0.926396,0.92018,0.913781,0.907207,0.900466,0.893564,0.886512,0.879321,0.872002,0.864568,0.857033,0.849412,0.84172,0.833975,0.826192,0.818391,0.810589,0.802805,0.795058,0.787365,0.779746,0.772218,0.764799,0.757507,0.750356,0.743362,0.73654,0.729901,0.723458,0.71722,0.711196,0.705393,0.699817,0.694473,0.689362,0.684487,0.679847,0.675441,0.671267,0.66732,0.663596,0.66009,0.656795,0.653704,0.650809,0.648102,0.645574,0.643216,0.64102,0.638976,0.637075,0.635306,0.633661,0.632131,0.630706,0.629377,0.628135,0.626972,0.625878,0.624846,0.623866,0.622931,0.622033,0.621163,0.620312,0.619473,0.618638,0.617797,0.616942,0.616064,0.615153,0.614199,0.613192,0.612121,0.610973,0.609737,0.608397,0.60694,0.605349,0.603607,0.601695,0.599592,0.597277,0.594726,0.591912,0.588807,0.585381,0.581601,0.577434,0.572841,0.567783,0.56222,0.556108,0.549402,0.542058,0.534028,0.525268,0.515734,0.505385,0.494183,0.482098,0.469108,0.455199,0.440373,0.424645,0.40805,0.390641,0.372496},
{1.01235,1.01287,1.01341,1.01397,1.01454,1.01512,1.01572,1.01633,1.01695,1.01759,1.01824,1.0189,1.01958,1.02026,1.02095,1.02165,1.02236,1.02308,1.0238,1.02452,1.02525,1.02598,1.02671,1.02744,1.02817,1.02889,1.02961,1.03032,1.03102,1.03171,1.03239,1.03305,1.0337,1.03432,1.03493,1.03551,1.03607,1.03659,1.03709,1.03756,1.03799,1.03838,1.03873,1.03904,1.03931,1.03952,1.03969,1.0398,1.03985,1.03985,1.03979,1.03965,1.03946,1.03919,1.03884,1.03842,1.03792,1.03733,1.03665,1.03589,1.03503,1.03407,1.033,1.03183,1.03055,1.02916,1.02764,1.02601,1.02424,1.02234,1.02031,1.01813,1.01581,1.01333,1.0107,1.00791,1.00495,1.00183,0.998528,0.99505,0.991391,0.987546,0.983512,0.979286,0.974866,0.970249,0.965435,0.960421,0.955208,0.949797,0.944189,0.938386,0.932391,0.926209,0.919844,0.913303,0.906593,0.899722,0.892701,0.885539,0.878249,0.870844,0.863336,0.855742,0.848076,0.840355,0.832597,0.82482,0.817041,0.809278,0.801552,0.793879,0.786279,0.77877,0.771369,0.764094,0.756959,0.749981,0.743173,0.736548,0.730117,0.723892,0.717879,0.712087,0.706522,0.701186,0.696085,0.691217,0.686585,0.682186,0.678017,0.674076,0.670357,0.666855,0.663564,0.660476,0.657583,0.654878,0.652352,0.649995,0.6478,0.645755,0.643852,0.642082,0.640435,0.638902,0.637473,0.63614,0.634892,0.633723,0.632622,0.631582,0.630593,0.629647,0.628737,0.627853,0.626987,0.626132,0.625278,0.624416,0.623538,0.622634,0.621694,0.620708,0.619666,0.618556,0.617365,0.616081,0.614688,0.613173,0.611517,0.609704,0.607714,0.605526,0.603116,0.60046,0.597532,0.594303,0.590741,0.586813,0.582484,0.577715,0.572468,0.566699,0.560365,0.553421,0.545822,0.537521,0.528473,0.518635,0.507967,0.496433,0.484004,0.470661,0.456394,0.441207,0.425121,0.408176,0.39043,0.371968},
{1.01262,1.01317,1.01373,1.01431,1.01491,1.01552,1.01615,1.01679,1.01745,1.01812,1.01881,1.01951,1.02022,1.02095,1.02169,1.02244,1.02319,1.02396,1.02474,1.02552,1.0263,1.02709,1.02789,1.02868,1.02948,1.03027,1.03106,1.03184,1.03262,1.03339,1.03414,1.03489,1.03561,1.03632,1.03701,1.03768,1.03833,1.03895,1.03953,1.04009,1.04061,1.0411,1.04154,1.04195,1.04231,1.04262,1.04288,1.04308,1.04323,1.04332,1.04335,1.04331,1.0432,1.04302,1.04277,1.04243,1.04202,1.04152,1.04093,1.04024,1.03946,1.03858,1.03759,1.0365,1.03529,1.03397,1.03253,1.03096,1.02926,1.02742,1.02545,1.02333,1.02107,1.01865,1.01608,1.01334,1.01044,1.00737,1.00412,1.00069,0.997081,0.993283,0.989295,0.985114,0.980737,0.976163,0.971389,0.966416,0.961243,0.95587,0.950299,0.944533,0.938574,0.932426,0.926095,0.919587,0.912909,0.90607,0.899079,0.891947,0.884686,0.877308,0.869828,0.862259,0.854619,0.846923,0.839189,0.831434,0.823677,0.815936,0.808229,0.800576,0.792995,0.785504,0.77812,0.77086,0.763741,0.756777,0.749982,0.74337,0.736952,0.730737,0.724736,0.718953,0.713397,0.70807,0.702976,0.698116,0.69349,0.689096,0.684933,0.680996,0.67728,0.673782,0.670493,0.667406,0.664515,0.66181,0.659283,0.656926,0.654728,0.652681,0.650775,0.649001,0.647349,0.64581,0.644374,0.643032,0.641776,0.640595,0.639482,0.638428,0.637424,0.636461,0.635531,0.634626,0.633736,0.632854,0.63197,0.631075,0.63016,0.629215,0.62823,0.627194,0.626096,0.624924,0.623665,0.622304,0.620828,0.61922,0.617463,0.615537,0.613423,0.611098,0.608538,0.605718,0.602609,0.599182,0.595403,0.59124,0.586653,0.581606,0.576055,0.56996,0.563274,0.555952,0.547949,0.539219,0.529717,0.519401,0.508232,0.496179,0.483216,0.469329,0.454513,0.43878,0.422159,0.4047,0.386471,0.367569},
{1.01288,1.01345,1.01404,1.01464,1.01526,1.0159,1.01655,1.01723,1.01792,1.01862,1.01935,1.02009,1.02084,1.02161,1.02239,1.02318,1.02399,1.02481,1.02564,1.02647,1.02732,1.02817,1.02902,1.02988,1.03074,1.0316,1.03247,1.03332,1.03417,1.03502,1.03586,1.03668,1.03749,1.03829,1.03907,1.03982,1.04056,1.04127,1.04195,1.0426,1.04322,1.0438,1.04434,1.04485,1.0453,1.04571,1.04607,1.04637,1.04662,1.04681,1.04694,1.04699,1.04698,1.0469,1.04674,1.0465,1.04617,1.04576,1.04526,1.04467,1.04397,1.04317,1.04227,1.04126,1.04013,1.03889,1.03752,1.03602,1.03439,1.03263,1.03073,1.02868,1.02648,1.02412,1.02161,1.01893,1.01609,1.01307,1.00988,1.0065,1.00294,0.999193,0.995253,0.991119,0.986788,0.982258,0.977528,0.972597,0.967465,0.962132,0.9566,0.950871,0.944948,0.938836,0.93254,0.926065,0.91942,0.912613,0.905652,0.89855,0.891318,0.883968,0.876515,0.868972,0.861357,0.853686,0.845975,0.838243,0.830507,0.822787,0.8151,0.807466,0.799903,0.792429,0.785061,0.777817,0.770713,0.763763,0.756982,0.750382,0.743975,0.737772,0.73178,0.726007,0.72046,0.715141,0.710054,0.705201,0.700581,0.696193,0.692035,0.688103,0.684391,0.680896,0.67761,0.674526,0.671636,0.668933,0.666407,0.664049,0.661851,0.659803,0.657895,0.656119,0.654464,0.652921,0.65148,0.650133,0.648871,0.647683,0.646562,0.645499,0.644485,0.64351,0.642567,0.641647,0.640742,0.639841,0.638937,0.638019,0.637079,0.636107,0.635091,0.634022,0.632886,0.631672,0.630367,0.628957,0.627425,0.625755,0.62393,0.62193,0.619734,0.617319,0.614661,0.611732,0.608505,0.604949,0.60103,0.596713,0.59196,0.586732,0.580987,0.574681,0.56777,0.560208,0.551948,0.542944,0.533154,0.522535,0.51105,0.498669,0.485369,0.471137,0.455973,0.439893,0.422931,0.40514,0.386594,0.367396},
{1.01312,1.01371,1.01432,1.01494,1.01559,1.01625,1.01694,1.01764,1.01836,1.0191,1.01986,1.02063,1.02142,1.02223,1.02306,1.0239,1.02475,1.02562,1.0265,1.02739,1.02829,1.0292,1.03012,1.03104,1.03197,1.0329,1.03383,1.03476,1.03569,1.03661,1.03753,1.03844,1.03933,1.04021,1.04108,1.04193,1.04276,1.04356,1.04434,1.04509,1.0458,1.04648,1.04713,1.04773,1.04829,1.0488,1.04926,1.04967,1.05002,1.05031,1.05054,1.0507,1.05079,1.05081,1.05074,1.0506,1.05038,1.05006,1.04966,1.04915,1.04855,1.04785,1.04703,1.04611,1.04506,1.0439,1.04261,1.0412,1.03965,1.03796,1.03613,1.03415,1.03202,1.02973,1.02728,1.02467,1.02189,1.01893,1.01579,1.01247,1.00897,1.00527,1.00138,0.997299,0.993016,0.988533,0.983848,0.978961,0.973871,0.96858,0.963088,0.957397,0.951512,0.945437,0.939176,0.932736,0.926124,0.919348,0.912419,0.905347,0.898143,0.890822,0.883395,0.875879,0.868289,0.860641,0.852953,0.845243,0.837528,0.829828,0.822161,0.814545,0.806999,0.799542,0.79219,0.78496,0.77787,0.770933,0.764164,0.757576,0.75118,0.744986,0.739004,0.73324,0.7277,0.722388,0.717308,0.712461,0.707846,0.703463,0.699308,0.695379,0.69167,0.688177,0.684892,0.681809,0.678919,0.676215,0.673688,0.671328,0.669127,0.667076,0.665164,0.663382,0.66172,0.66017,0.658721,0.657364,0.656091,0.654891,0.653756,0.652677,0.651645,0.650651,0.649687,0.648743,0.64781,0.646879,0.645941,0.644987,0.644006,0.642988,0.641922,0.640796,0.639599,0.638317,0.636937,0.635442,0.633818,0.632047,0.63011,0.627987,0.625655,0.623091,0.620269,0.617161,0.613737,0.609966,0.605813,0.601241,0.596212,0.590684,0.584615,0.577961,0.570675,0.562712,0.554026,0.544571,0.534304,0.523187,0.511184,0.498268,0.484421,0.469637,0.453921,0.437296,0.419807,0.401515,0.382508,0.362897},
{1.01335,1.01395,1.01458,1.01523,1.0159,1.01658,1.01729,1.01802,1.01878,1.01955,1.02034,1.02115,1.02198,1.02283,1.02369,1.02458,1.02548,1.02639,1.02732,1.02827,1.02923,1.03019,1.03117,1.03216,1.03315,1.03415,1.03515,1.03616,1.03716,1.03816,1.03916,1.04015,1.04113,1.0421,1.04306,1.044,1.04492,1.04582,1.04669,1.04754,1.04836,1.04914,1.04989,1.05059,1.05126,1.05187,1.05244,1.05296,1.05342,1.05381,1.05415,1.05442,1.05461,1.05474,1.05478,1.05474,1.05462,1.05441,1.0541,1.0537,1.0532,1.05259,1.05187,1.05104,1.05008,1.04901,1.04781,1.04648,1.04501,1.0434,1.04165,1.03975,1.03769,1.03548,1.0331,1.03055,1.02784,1.02494,1.02187,1.01861,1.01516,1.01152,1.00769,1.00366,0.999424,0.99499,0.990353,0.985512,0.980467,0.975218,0.969768,0.964118,0.958273,0.952235,0.94601,0.939605,0.933027,0.926285,0.919387,0.912345,0.905171,0.897878,0.890478,0.882988,0.875423,0.867799,0.860134,0.852446,0.844752,0.837072,0.829424,0.821826,0.814297,0.806856,0.799519,0.792305,0.785228,0.778304,0.771547,0.76497,0.758585,0.752401,0.746428,0.740672,0.73514,0.729836,0.724763,0.719921,0.715312,0.710934,0.706784,0.702859,0.699153,0.695663,0.692381,0.689299,0.686411,0.683708,0.681181,0.678822,0.676621,0.674568,0.672655,0.670871,0.669207,0.667654,0.666201,0.664841,0.663562,0.662357,0.661215,0.660129,0.659089,0.658086,0.657111,0.656155,0.655209,0.654264,0.65331,0.652338,0.651337,0.650297,0.649207,0.648055,0.646829,0.645514,0.644098,0.642565,0.640898,0.639079,0.63709,0.634909,0.632515,0.629883,0.626986,0.623796,0.620284,0.616416,0.612158,0.607472,0.60232,0.596659,0.590448,0.58364,0.57619,0.568053,0.559181,0.549529,0.539056,0.527722,0.515494,0.502344,0.488257,0.473227,0.457263,0.440389,0.422652,0.404116,0.384873,0.365035},
{1.01356,1.01418,1.01483,1.01549,1.01618,1.0169,1.01763,1.01839,1.01917,1.01997,1.02079,1.02164,1.0225,1.02339,1.0243,1.02522,1.02617,1.02713,1.02811,1.02911,1.03012,1.03115,1.03219,1.03324,1.0343,1.03536,1.03643,1.03751,1.03859,1.03967,1.04075,1.04182,1.04289,1.04395,1.045,1.04603,1.04705,1.04804,1.04902,1.04996,1.05088,1.05177,1.05262,1.05344,1.05421,1.05493,1.05561,1.05624,1.05681,1.05732,1.05776,1.05814,1.05845,1.05869,1.05884,1.05891,1.0589,1.0588,1.0586,1.0583,1.0579,1.05739,1.05677,1.05604,1.05519,1.05421,1.0531,1.05186,1.05048,1.04896,1.04729,1.04547,1.04349,1.04135,1.03905,1.03658,1.03393,1.0311,1.0281,1.0249,1.02151,1.01794,1.01416,1.01018,1.00601,1.00162,0.997036,0.992244,0.987246,0.982042,0.976636,0.971028,0.965223,0.959224,0.953037,0.946668,0.940125,0.933415,0.92655,0.919539,0.912394,0.905129,0.897757,0.890292,0.882752,0.875152,0.867509,0.859842,0.852169,0.844508,0.836878,0.829298,0.821785,0.814359,0.807037,0.799836,0.792771,0.785859,0.779113,0.772546,0.76617,0.759995,0.75403,0.748281,0.742756,0.737457,0.732388,0.727551,0.722946,0.71857,0.714422,0.710499,0.706794,0.703304,0.700021,0.696938,0.694048,0.691342,0.688812,0.686448,0.684242,0.682183,0.680262,0.678469,0.676796,0.675231,0.673766,0.672391,0.671097,0.669874,0.668712,0.667604,0.666539,0.665508,0.664502,0.663512,0.662529,0.661542,0.660542,0.659518,0.65846,0.657357,0.656197,0.654968,0.653656,0.652247,0.650727,0.649078,0.647284,0.645326,0.643182,0.640832,0.638252,0.635414,0.632293,0.628859,0.625078,0.620917,0.61634,0.611308,0.60578,0.599713,0.593064,0.585786,0.577834,0.56916,0.559719,0.549468,0.538366,0.526377,0.513471,0.499629,0.484839,0.469105,0.452444,0.434895,0.416516,0.397384,0.377606,0.357309},
{1.01375,1.01439,1.01506,1.01574,1.01646,1.01719,1.01795,1.01873,1.01954,1.02037,1.02122,1.0221,1.023,1.02393,1.02487,1.02584,1.02683,1.02784,1.02887,1.02992,1.03098,1.03207,1.03316,1.03428,1.0354,1.03653,1.03768,1.03883,1.03998,1.04114,1.0423,1.04346,1.04461,1.04576,1.04689,1.04802,1.04913,1.05023,1.0513,1.05235,1.05338,1.05437,1.05533,1.05625,1.05714,1.05798,1.05877,1.05951,1.06019,1.06082,1.06138,1.06188,1.0623,1.06265,1.06292,1.06311,1.06321,1.06322,1.06313,1.06295,1.06266,1.06226,1.06175,1.06112,1.06036,1.05949,1.05848,1.05733,1.05605,1.05462,1.05304,1.05131,1.04941,1.04736,1.04514,1.04274,1.04017,1.03742,1.03448,1.03135,1.02803,1.02452,1.0208,1.01688,1.01276,1.00844,1.0039,0.999162,0.994213,0.989058,0.983697,0.978133,0.97237,0.966412,0.960264,0.953932,0.947425,0.940751,0.933918,0.926939,0.919824,0.912588,0.905243,0.897805,0.89029,0.882713,0.875094,0.867448,0.859795,0.852153,0.844541,0.836978,0.829482,0.822071,0.814763,0.807575,0.800523,0.793623,0.786887,0.78033,0.773964,0.767797,0.761839,0.756098,0.750578,0.745285,0.740222,0.735389,0.730787,0.726415,0.72227,0.718349,0.714646,0.711157,0.707874,0.704791,0.701901,0.699193,0.696661,0.694295,0.692085,0.690022,0.688097,0.686299,0.684619,0.683047,0.681573,0.680189,0.678884,0.677649,0.676474,0.675351,0.674269,0.67322,0.672194,0.671182,0.670173,0.669158,0.668127,0.667069,0.665973,0.664829,0.663622,0.662342,0.660973,0.659503,0.657914,0.656189,0.654312,0.652262,0.650019,0.647558,0.644857,0.641887,0.638622,0.635029,0.631076,0.626728,0.621947,0.616694,0.610928,0.604605,0.597679,0.590106,0.581837,0.572828,0.563033,0.552408,0.540916,0.528521,0.515197,0.500926,0.485702,0.469533,0.452442,0.434473,0.415692,0.396182,0.376059,0.355457},
{1.01393,1.01459,1.01527,1.01598,1.01671,1.01747,1.01825,1.01906,1.01989,1.02075,1.02163,1.02254,1.02348,1.02444,1.02542,1.02643,1.02746,1.02852,1.02959,1.03069,1.03181,1.03295,1.0341,1.03528,1.03646,1.03766,1.03888,1.0401,1.04133,1.04256,1.0438,1.04504,1.04628,1.04752,1.04875,1.04997,1.05118,1.05237,1.05355,1.05471,1.05584,1.05694,1.05801,1.05904,1.06004,1.06099,1.0619,1.06276,1.06356,1.06431,1.06499,1.06561,1.06615,1.06662,1.06701,1.06732,1.06754,1.06767,1.0677,1.06763,1.06746,1.06717,1.06677,1.06626,1.06561,1.06484,1.06394,1.0629,1.06171,1.06038,1.0589,1.05726,1.05546,1.05349,1.05135,1.04904,1.04655,1.04387,1.04101,1.03796,1.03471,1.03126,1.02761,1.02376,1.0197,1.01543,1.01095,1.00626,1.00137,0.996261,0.990948,0.98543,0.979711,0.973795,0.967688,0.961396,0.954925,0.948286,0.941488,0.934541,0.927457,0.92025,0.912933,0.905522,0.898032,0.890479,0.882882,0.875258,0.867625,0.860002,0.852408,0.844861,0.837381,0.829984,0.82269,0.815514,0.808474,0.801584,0.794859,0.788311,0.781953,0.775793,0.769842,0.764107,0.758593,0.753305,0.748245,0.743415,0.738816,0.734446,0.730302,0.726381,0.722679,0.719189,0.715905,0.71282,0.709927,0.707216,0.704679,0.702308,0.700092,0.698022,0.696088,0.694281,0.692591,0.691007,0.689521,0.688122,0.6868,0.685546,0.684351,0.683205,0.682098,0.681021,0.679964,0.678916,0.677869,0.676812,0.675734,0.674624,0.673471,0.672262,0.670986,0.669628,0.668173,0.666608,0.664915,0.663076,0.661072,0.658883,0.656486,0.653858,0.650973,0.647802,0.644315,0.640482,0.636267,0.631633,0.626543,0.620954,0.614825,0.608112,0.600767,0.592745,0.583999,0.574483,0.564154,0.552969,0.540892,0.527893,0.513949,0.499049,0.483192,0.466396,0.448692,0.430137,0.410805,0.390797,0.370235,0.349269},
{1.0141,1.01478,1.01547,1.0162,1.01695,1.01773,1.01853,1.01936,1.02022,1.02111,1.02202,1.02296,1.02393,1.02492,1.02594,1.02699,1.02806,1.02916,1.03029,1.03143,1.0326,1.0338,1.03501,1.03624,1.03749,1.03876,1.04004,1.04133,1.04263,1.04395,1.04527,1.04659,1.04792,1.04924,1.05057,1.05188,1.05319,1.05448,1.05576,1.05702,1.05826,1.05947,1.06065,1.0618,1.06291,1.06399,1.06501,1.06599,1.06692,1.06778,1.06859,1.06933,1.07,1.0706,1.07112,1.07155,1.07189,1.07215,1.0723,1.07236,1.0723,1.07214,1.07186,1.07145,1.07093,1.07027,1.06948,1.06854,1.06747,1.06624,1.06486,1.06332,1.06161,1.05974,1.05769,1.05547,1.05306,1.05047,1.04769,1.04471,1.04154,1.03816,1.03458,1.0308,1.0268,1.0226,1.01818,1.01355,1.00871,1.00365,0.998392,0.992923,0.987251,0.981379,0.975314,0.969062,0.962631,0.956029,0.949265,0.942352,0.9353,0.928123,0.920835,0.913451,0.905986,0.898458,0.890883,0.883281,0.875668,0.868064,0.860488,0.852958,0.845492,0.83811,0.830829,0.823666,0.816638,0.809758,0.803043,0.796504,0.790153,0.784001,0.778056,0.772327,0.766818,0.761534,0.756478,0.751652,0.747055,0.742686,0.738544,0.734624,0.730921,0.727431,0.724146,0.721059,0.718164,0.71545,0.71291,0.710533,0.708312,0.706236,0.704295,0.70248,0.700781,0.699187,0.697689,0.696276,0.69494,0.693671,0.692458,0.691292,0.690163,0.689061,0.687976,0.686899,0.685819,0.684724,0.683606,0.682451,0.681248,0.679984,0.678647,0.677222,0.675694,0.674048,0.672265,0.670328,0.668216,0.665908,0.663381,0.66061,0.657568,0.654227,0.650554,0.646517,0.642081,0.637207,0.631856,0.625987,0.619555,0.612515,0.604822,0.596428,0.587287,0.577353,0.566583,0.554938,0.542383,0.52889,0.514441,0.499029,0.48266,0.465357,0.44716,0.428133,0.408359,0.387948,0.367033,0.345769},
{1.01426,1.01495,1.01566,1.0164,1.01717,1.01797,1.01879,1.01965,1.02053,1.02144,1.02238,1.02335,1.02435,1.02538,1.02644,1.02752,1.02864,1.02978,1.03095,1.03214,1.03336,1.03461,1.03588,1.03717,1.03848,1.03981,1.04116,1.04252,1.0439,1.04529,1.04669,1.0481,1.04951,1.05092,1.05234,1.05375,1.05515,1.05655,1.05793,1.0593,1.06064,1.06197,1.06326,1.06453,1.06576,1.06695,1.0681,1.0692,1.07025,1.07125,1.07218,1.07305,1.07385,1.07457,1.07522,1.07578,1.07626,1.07664,1.07693,1.07711,1.07718,1.07714,1.07699,1.07671,1.0763,1.07576,1.07509,1.07427,1.07331,1.07219,1.07091,1.06948,1.06788,1.0661,1.06416,1.06203,1.05971,1.05721,1.05451,1.05162,1.04852,1.04523,1.04172,1.03801,1.03408,1.02994,1.02559,1.02102,1.01623,1.01124,1.00603,1.00061,0.994988,0.989163,0.983143,0.976934,0.970543,0.963979,0.957252,0.950373,0.943354,0.936208,0.92895,0.921593,0.914155,0.906651,0.8991,0.891519,0.883927,0.876342,0.868783,0.86127,0.85382,0.846452,0.839184,0.832033,0.825016,0.818146,0.81144,0.80491,0.798567,0.792421,0.786483,0.780759,0.775254,0.769975,0.764922,0.760099,0.755504,0.751137,0.746996,0.743076,0.739374,0.735883,0.732596,0.729508,0.72661,0.723893,0.721349,0.718968,0.716742,0.714659,0.712712,0.710889,0.70918,0.707576,0.706067,0.704642,0.703292,0.702007,0.700777,0.699592,0.698442,0.697316,0.696206,0.6951,0.693988,0.692858,0.691701,0.690503,0.689253,0.687937,0.686543,0.685054,0.683457,0.681733,0.679866,0.677836,0.675623,0.673203,0.670554,0.667649,0.66446,0.660959,0.657111,0.652885,0.648242,0.643145,0.637553,0.631423,0.62471,0.61737,0.609355,0.600618,0.591114,0.580797,0.569624,0.55756,0.544569,0.530628,0.515722,0.499847,0.483016,0.465256,0.446616,0.427165,0.406995,0.386223,0.36499,0.343458},
{1.01441,1.01511,1.01584,1.0166,1.01738,1.0182,1.01904,1.01992,1.02082,1.02176,1.02273,1.02373,1.02476,1.02582,1.02691,1.02803,1.02918,1.03037,1.03158,1.03282,1.03409,1.03539,1.03671,1.03806,1.03943,1.04082,1.04224,1.04367,1.04512,1.04659,1.04807,1.04956,1.05106,1.05256,1.05407,1.05557,1.05707,1.05857,1.06006,1.06153,1.06299,1.06442,1.06583,1.06722,1.06857,1.06988,1.07116,1.07238,1.07356,1.07469,1.07575,1.07675,1.07769,1.07855,1.07933,1.08002,1.08063,1.08115,1.08157,1.08188,1.08209,1.08218,1.08216,1.08201,1.08173,1.08132,1.08076,1.08007,1.07922,1.07822,1.07706,1.07574,1.07425,1.07258,1.07073,1.06871,1.06649,1.06408,1.06147,1.05867,1.05566,1.05244,1.04902,1.04538,1.04153,1.03746,1.03317,1.02867,1.02395,1.01901,1.01386,1.00849,1.00292,0.997146,0.991173,0.985008,0.978659,0.972136,0.965447,0.958604,0.951619,0.944505,0.937277,0.929949,0.922537,0.915059,0.907531,0.899972,0.8924,0.884834,0.877293,0.869796,0.862362,0.855008,0.847753,0.840613,0.833606,0.826747,0.820049,0.813526,0.80719,0.801051,0.795118,0.789398,0.783898,0.778621,0.773571,0.76875,0.764156,0.75979,0.755649,0.751728,0.748024,0.744531,0.741242,0.73815,0.735248,0.732526,0.729976,0.727589,0.725354,0.723264,0.721306,0.719472,0.717751,0.716134,0.714609,0.713168,0.711799,0.710493,0.70924,0.708029,0.70685,0.705694,0.704549,0.703404,0.70225,0.701074,0.699865,0.69861,0.697297,0.695912,0.694441,0.692868,0.691178,0.689353,0.687373,0.68522,0.682871,0.680303,0.677491,0.674408,0.671024,0.66731,0.663231,0.658753,0.653837,0.648443,0.642531,0.636056,0.628972,0.621234,0.612795,0.603608,0.593626,0.582807,0.571109,0.558497,0.544941,0.530422,0.514929,0.498465,0.481051,0.462721,0.443535,0.423572,0.402933,0.381748,0.360167,0.338361},
{1.01455,1.01526,1.016,1.01678,1.01758,1.01841,1.01928,1.02017,1.0211,1.02206,1.02305,1.02408,1.02514,1.02623,1.02736,1.02851,1.0297,1.03093,1.03218,1.03347,1.03479,1.03613,1.03751,1.03892,1.04035,1.0418,1.04328,1.04479,1.04631,1.04785,1.04941,1.05098,1.05256,1.05415,1.05575,1.05735,1.05895,1.06055,1.06214,1.06372,1.06529,1.06684,1.06837,1.06987,1.07134,1.07278,1.07418,1.07554,1.07685,1.0781,1.0793,1.08044,1.08151,1.08251,1.08343,1.08426,1.08501,1.08567,1.08623,1.08668,1.08703,1.08726,1.08737,1.08735,1.08721,1.08693,1.0865,1.08594,1.08522,1.08434,1.0833,1.0821,1.08072,1.07917,1.07743,1.07551,1.07339,1.07108,1.06858,1.06587,1.06295,1.05982,1.05648,1.05292,1.04914,1.04515,1.04094,1.0365,1.03185,1.02697,1.02188,1.01657,1.01106,1.00533,0.99941,0.993292,0.986988,0.980506,0.973858,0.967053,0.960103,0.953023,0.945826,0.938528,0.931144,0.923691,0.916188,0.908651,0.901101,0.893554,0.886032,0.878551,0.871132,0.863792,0.85655,0.849423,0.842427,0.835577,0.828888,0.822373,0.816044,0.809912,0.803984,0.798269,0.792773,0.7875,0.782453,0.777633,0.773041,0.768676,0.764535,0.760615,0.756911,0.753417,0.750126,0.747032,0.744127,0.741402,0.738849,0.736457,0.734218,0.732121,0.730157,0.728316,0.726587,0.72496,0.723425,0.721972,0.720591,0.719271,0.718002,0.716774,0.715576,0.714398,0.71323,0.71206,0.710877,0.70967,0.708426,0.707134,0.705779,0.704348,0.702827,0.701199,0.699447,0.697555,0.695502,0.693269,0.690831,0.688167,0.68525,0.682052,0.678544,0.674693,0.670466,0.665827,0.660738,0.655156,0.649042,0.642349,0.635033,0.627046,0.618342,0.608873,0.598595,0.587463,0.575439,0.562488,0.548581,0.533702,0.517844,0.501012,0.483229,0.464537,0.444998,0.424697,0.40374,0.382262,0.360417,0.338382},
{1.01467,1.0154,1.01616,1.01695,1.01776,1.01861,1.0195,1.02041,1.02136,1.02234,1.02336,1.02441,1.0255,1.02662,1.02778,1.02897,1.0302,1.03146,1.03276,1.03409,1.03545,1.03685,1.03828,1.03974,1.04123,1.04275,1.04429,1.04586,1.04746,1.04907,1.05071,1.05236,1.05403,1.05571,1.05739,1.05909,1.06079,1.06249,1.06418,1.06587,1.06755,1.06922,1.07086,1.07249,1.07408,1.07565,1.07717,1.07866,1.0801,1.0815,1.08283,1.08411,1.08532,1.08646,1.08752,1.0885,1.08939,1.09019,1.09089,1.09149,1.09198,1.09235,1.09261,1.09273,1.09273,1.09259,1.0923,1.09187,1.09128,1.09053,1.08962,1.08854,1.08729,1.08585,1.08423,1.08242,1.08042,1.07822,1.07581,1.0732,1.07038,1.06734,1.06409,1.06062,1.05693,1.05301,1.04887,1.04451,1.03993,1.03512,1.03009,1.02485,1.01939,1.01372,1.00785,1.00178,0.995523,0.989086,0.982479,0.975713,0.968801,0.961756,0.954591,0.947323,0.939968,0.932542,0.925064,0.91755,0.910021,0.902494,0.894989,0.887526,0.880122,0.872796,0.865566,0.85845,0.851464,0.844624,0.837943,0.831436,0.825113,0.818986,0.813063,0.807351,0.801858,0.796587,0.791542,0.786723,0.782132,0.777766,0.773625,0.769702,0.765996,0.762498,0.759204,0.756106,0.753196,0.750465,0.747904,0.745505,0.743257,0.741151,0.739176,0.737322,0.735579,0.733938,0.732386,0.730915,0.729513,0.72817,0.726876,0.72562,0.724392,0.72318,0.721975,0.720763,0.719535,0.718278,0.716979,0.715625,0.714204,0.712699,0.711096,0.709379,0.707529,0.705528,0.703357,0.700993,0.698413,0.695592,0.692504,0.68912,0.685408,0.681335,0.676867,0.671967,0.666593,0.660706,0.654261,0.647214,0.639517,0.631125,0.621989,0.612063,0.601303,0.589666,0.577115,0.563619,0.549153,0.533704,0.517271,0.499867,0.481522,0.462285,0.442229,0.421448,0.40006,0.378208,0.356057,0.333788},
{1.01479,1.01553,1.0163,1.0171,1.01794,1.0188,1.0197,1.02064,1.02161,1.02261,1.02365,1.02473,1.02584,1.02699,1.02818,1.02941,1.03067,1.03197,1.03331,1.03468,1.03609,1.03754,1.03902,1.04053,1.04208,1.04365,1.04526,1.0469,1.04856,1.05025,1.05196,1.0537,1.05545,1.05721,1.05899,1.06078,1.06258,1.06438,1.06618,1.06798,1.06977,1.07155,1.07332,1.07506,1.07678,1.07847,1.08013,1.08175,1.08333,1.08486,1.08634,1.08775,1.08911,1.09039,1.0916,1.09273,1.09377,1.09472,1.09557,1.09632,1.09695,1.09747,1.09788,1.09815,1.09829,1.09829,1.09815,1.09786,1.09741,1.0968,1.09602,1.09507,1.09395,1.09264,1.09114,1.08945,1.08756,1.08547,1.08318,1.08067,1.07795,1.07502,1.07186,1.06848,1.06488,1.06105,1.05699,1.05271,1.0482,1.04346,1.0385,1.03332,1.02792,1.02231,1.01649,1.01048,1.00427,0.997881,0.991318,0.984594,0.977721,0.970712,0.963582,0.956347,0.949021,0.941623,0.93417,0.926681,0.919173,0.911667,0.904181,0.896734,0.889346,0.882035,0.874818,0.867714,0.860738,0.853907,0.847235,0.840734,0.834418,0.828296,0.822378,0.816671,0.811181,0.805912,0.800869,0.796052,0.791461,0.787095,0.782953,0.77903,0.775321,0.771822,0.768525,0.765423,0.762509,0.759773,0.757207,0.754801,0.752546,0.750432,0.748448,0.746585,0.744832,0.743178,0.741613,0.740127,0.738708,0.737348,0.736034,0.734756,0.733504,0.732266,0.731031,0.729787,0.728523,0.727227,0.725885,0.724484,0.72301,0.721447,0.719781,0.717995,0.716069,0.713985,0.711722,0.709258,0.706569,0.703629,0.700411,0.696884,0.693017,0.688777,0.684127,0.679029,0.673442,0.667325,0.660633,0.65332,0.64534,0.636646,0.62719,0.616925,0.605809,0.593799,0.58086,0.566963,0.552085,0.536216,0.51936,0.501533,0.48277,0.463127,0.442682,0.421534,0.39981,0.377657,0.355244,0.332759},
{1.01491,1.01566,1.01644,1.01725,1.0181,1.01898,1.0199,1.02085,1.02184,1.02286,1.02393,1.02503,1.02617,1.02735,1.02856,1.02982,1.03112,1.03246,1.03383,1.03525,1.0367,1.03819,1.03972,1.04129,1.04289,1.04453,1.0462,1.0479,1.04963,1.05139,1.05318,1.05499,1.05683,1.05868,1.06055,1.06243,1.06433,1.06623,1.06814,1.07004,1.07195,1.07384,1.07573,1.07759,1.07944,1.08126,1.08305,1.08481,1.08652,1.08819,1.08981,1.09137,1.09287,1.09431,1.09566,1.09694,1.09814,1.09924,1.10024,1.10114,1.10194,1.10261,1.10317,1.10359,1.10389,1.10404,1.10404,1.1039,1.1036,1.10313,1.10249,1.10168,1.10069,1.09951,1.09815,1.09658,1.09482,1.09285,1.09067,1.08828,1.08567,1.08283,1.07978,1.0765,1.07299,1.06925,1.06528,1.06108,1.05665,1.05199,1.0471,1.04199,1.03665,1.0311,1.02535,1.01939,1.01323,1.00689,1.00037,0.993694,0.986862,0.979892,0.972798,0.965596,0.958301,0.950932,0.943506,0.936041,0.928557,0.921072,0.913605,0.906176,0.898803,0.891506,0.884303,0.87721,0.870245,0.863423,0.856759,0.850266,0.843955,0.837839,0.831925,0.826221,0.820734,0.815468,0.810425,0.805609,0.801018,0.796652,0.792508,0.788583,0.784872,0.78137,0.778069,0.774963,0.772044,0.769302,0.76673,0.764317,0.762054,0.759931,0.757937,0.756062,0.754297,0.752629,0.751049,0.749546,0.74811,0.746729,0.745392,0.74409,0.74281,0.741542,0.740274,0.738994,0.73769,0.736349,0.734959,0.733504,0.731972,0.730345,0.728608,0.726744,0.724733,0.722556,0.72019,0.717614,0.714803,0.711729,0.708364,0.704679,0.700639,0.696211,0.691358,0.68604,0.680216,0.673843,0.666876,0.659269,0.650975,0.641946,0.632135,0.621497,0.609988,0.597568,0.584203,0.569866,0.554539,0.538214,0.520899,0.502616,0.483405,0.463329,0.442473,0.420941,0.398869,0.376409,0.353737,0.331047},
{1.01501,1.01577,1.01656,1.01739,1.01825,1.01915,1.02008,1.02105,1.02206,1.0231,1.02419,1.02531,1.02647,1.02768,1.02893,1.03022,1.03155,1.03292,1.03433,1.03579,1.03728,1.03882,1.0404,1.04202,1.04367,1.04537,1.0471,1.04886,1.05066,1.0525,1.05436,1.05625,1.05817,1.0601,1.06206,1.06404,1.06603,1.06804,1.07005,1.07206,1.07408,1.07609,1.07809,1.08008,1.08206,1.08401,1.08593,1.08782,1.08968,1.09149,1.09325,1.09496,1.09661,1.0982,1.09971,1.10114,1.10249,1.10375,1.10492,1.10598,1.10693,1.10776,1.10848,1.10906,1.10951,1.10982,1.10998,1.10999,1.10984,1.10952,1.10904,1.10837,1.10752,1.10648,1.10525,1.10382,1.10219,1.10034,1.09829,1.09601,1.09352,1.0908,1.08785,1.08467,1.08126,1.07762,1.07374,1.06963,1.06528,1.0607,1.05589,1.05085,1.04559,1.0401,1.03441,1.02851,1.02241,1.01612,1.00965,1.00302,0.996229,0.989299,0.982243,0.975076,0.967814,0.960475,0.953077,0.945639,0.938178,0.930714,0.923267,0.915856,0.9085,0.901218,0.894028,0.886947,0.879993,0.87318,0.866524,0.860038,0.853734,0.847623,0.841713,0.836013,0.830528,0.825264,0.820223,0.815407,0.810816,0.80645,0.802305,0.798378,0.794665,0.791159,0.787855,0.784745,0.781821,0.779074,0.776495,0.774076,0.771805,0.769673,0.76767,0.765784,0.764007,0.762327,0.760732,0.759214,0.75776,0.75636,0.755002,0.753677,0.752372,0.751076,0.749777,0.748463,0.747122,0.745741,0.744305,0.742801,0.741215,0.739529,0.737727,0.735791,0.733702,0.731439,0.72898,0.726302,0.723378,0.720183,0.716686,0.712856,0.70866,0.704062,0.699025,0.693508,0.68747,0.680867,0.673653,0.665782,0.657207,0.647879,0.637752,0.626781,0.614923,0.602138,0.588396,0.57367,0.557944,0.541215,0.523493,0.504805,0.485197,0.464735,0.44351,0.421632,0.399242,0.376498,0.353579,0.330684},
{1.0151,1.01587,1.01668,1.01752,1.01839,1.0193,1.02025,1.02123,1.02226,1.02332,1.02443,1.02558,1.02676,1.028,1.02927,1.03059,1.03195,1.03336,1.03481,1.0363,1.03784,1.03942,1.04104,1.04271,1.04442,1.04617,1.04796,1.04979,1.05166,1.05356,1.0555,1.05747,1.05946,1.06149,1.06354,1.06561,1.06769,1.0698,1.07191,1.07404,1.07616,1.07829,1.08042,1.08253,1.08463,1.08671,1.08877,1.0908,1.0928,1.09475,1.09667,1.09852,1.10033,1.10207,1.10373,1.10533,1.10684,1.10826,1.10958,1.11081,1.11192,1.11292,1.1138,1.11455,1.11516,1.11564,1.11596,1.11613,1.11614,1.11598,1.11564,1.11513,1.11443,1.11354,1.11245,1.11116,1.10966,1.10795,1.10602,1.10387,1.1015,1.0989,1.09607,1.093,1.08969,1.08615,1.08237,1.07835,1.07409,1.0696,1.06487,1.05991,1.05472,1.0493,1.04367,1.03784,1.0318,1.02556,1.01915,1.01256,1.00582,0.998932,0.991916,0.984786,0.977559,0.970252,0.962883,0.955471,0.948035,0.940594,0.933168,0.925776,0.918436,0.911169,0.903993,0.896924,0.88998,0.883177,0.876529,0.87005,0.863752,0.857645,0.85174,0.846043,0.84056,0.835297,0.830257,0.825441,0.82085,0.816482,0.812335,0.808405,0.804688,0.801179,0.79787,0.794755,0.791824,0.78907,0.786484,0.784056,0.781775,0.779633,0.777618,0.77572,0.773928,0.772232,0.77062,0.769082,0.767608,0.766184,0.764802,0.763448,0.762112,0.760782,0.759446,0.758092,0.756705,0.755274,0.753784,0.752221,0.750569,0.748811,0.74693,0.744907,0.742723,0.740357,0.737784,0.734982,0.731923,0.72858,0.724922,0.720918,0.716532,0.711728,0.706468,0.700711,0.694414,0.687533,0.680021,0.671832,0.662918,0.653231,0.642724,0.631353,0.619076,0.605856,0.591664,0.576475,0.560278,0.543073,0.524876,0.505718,0.485652,0.464751,0.443111,0.420853,0.398121,0.375081,0.351918,0.328833},
{1.01519,1.01597,1.01679,1.01764,1.01852,1.01945,1.02041,1.02141,1.02245,1.02353,1.02466,1.02583,1.02704,1.02829,1.0296,1.03094,1.03233,1.03377,1.03526,1.03679,1.03837,1.03999,1.04166,1.04338,1.04514,1.04695,1.0488,1.05069,1.05262,1.05459,1.0566,1.05864,1.06072,1.06283,1.06496,1.06713,1.06931,1.07151,1.07373,1.07597,1.07821,1.08045,1.08269,1.08493,1.08716,1.08938,1.09157,1.09374,1.09588,1.09798,1.10004,1.10205,1.10401,1.1059,1.10773,1.10949,1.11116,1.11275,1.11424,1.11564,1.11692,1.11809,1.11914,1.12005,1.12084,1.12148,1.12197,1.12231,1.12248,1.12248,1.12231,1.12195,1.12141,1.12067,1.11973,1.11859,1.11724,1.11567,1.11388,1.11186,1.10962,1.10714,1.10442,1.10147,1.09828,1.09485,1.09117,1.08725,1.08309,1.07868,1.07404,1.06916,1.06405,1.05871,1.05315,1.04738,1.0414,1.03523,1.02887,1.02233,1.01564,1.0088,1.00182,0.994732,0.987541,0.980268,0.97293,0.965546,0.958136,0.950719,0.943314,0.935942,0.92862,0.921369,0.914206,0.90715,0.900217,0.893424,0.886784,0.880312,0.87402,0.867919,0.862017,0.856323,0.850842,0.845581,0.840541,0.835725,0.831133,0.826763,0.822614,0.818682,0.814962,0.811448,0.808135,0.805014,0.802077,0.799317,0.796723,0.794286,0.791996,0.789843,0.787816,0.785906,0.7841,0.782388,0.78076,0.779203,0.777708,0.776262,0.774855,0.773474,0.772109,0.770746,0.769374,0.767979,0.76655,0.765071,0.763529,0.761908,0.760192,0.758365,0.756408,0.754303,0.752028,0.749563,0.746882,0.743961,0.740774,0.73729,0.73348,0.729309,0.724744,0.719746,0.714276,0.708292,0.701752,0.694609,0.686818,0.67833,0.669099,0.659076,0.648214,0.636471,0.623806,0.610182,0.595572,0.579955,0.563323,0.545679,0.527043,0.507452,0.486962,0.465655,0.443632,0.421018,0.397965,0.374645,0.351245,0.32797},
{1.01527,1.01606,1.01689,1.01775,1.01865,1.01958,1.02056,1.02157,1.02263,1.02373,1.02487,1.02606,1.0273,1.02858,1.0299,1.03128,1.0327,1.03417,1.03569,1.03726,1.03887,1.04054,1.04226,1.04402,1.04583,1.04769,1.0496,1.05155,1.05354,1.05558,1.05766,1.05978,1.06194,1.06413,1.06635,1.0686,1.07088,1.07319,1.07551,1.07785,1.0802,1.08256,1.08493,1.08729,1.08965,1.09199,1.09432,1.09663,1.09892,1.10117,1.10338,1.10554,1.10766,1.10971,1.11171,1.11363,1.11547,1.11722,1.11889,1.12045,1.12191,1.12325,1.12448,1.12557,1.12653,1.12734,1.12801,1.12852,1.12886,1.12903,1.12903,1.12884,1.12846,1.12788,1.1271,1.12611,1.12491,1.12349,1.12184,1.11996,1.11786,1.11551,1.11292,1.1101,1.10702,1.1037,1.10013,1.09632,1.09226,1.08795,1.0834,1.0786,1.07358,1.06832,1.06283,1.05713,1.05122,1.04511,1.03881,1.03233,1.02569,1.01889,1.01196,1.00491,0.99776,0.990522,0.983217,0.975863,0.96848,0.961088,0.953705,0.946353,0.93905,0.931815,0.924667,0.917623,0.910702,0.903918,0.897286,0.890821,0.884535,0.878438,0.87254,0.866848,0.86137,0.856109,0.851069,0.846252,0.841658,0.837286,0.833134,0.829198,0.825473,0.821954,0.818635,0.815507,0.812562,0.809793,0.807189,0.804741,0.80244,0.800274,0.798233,0.796306,0.794483,0.792752,0.791103,0.789523,0.788003,0.786529,0.785091,0.783676,0.782274,0.78087,0.779453,0.77801,0.776526,0.774988,0.773381,0.771689,0.769895,0.767982,0.765931,0.763723,0.761336,0.758747,0.755932,0.752864,0.749517,0.745859,0.741859,0.737483,0.732694,0.727455,0.721725,0.715461,0.708618,0.701152,0.693015,0.684159,0.674537,0.6641,0.652803,0.640603,0.627462,0.613346,0.598228,0.582093,0.564936,0.546766,0.527608,0.507506,0.486524,0.46475,0.442293,0.41929,0.395895,0.37229,0.348666,0.325232},
{1.01535,1.01615,1.01698,1.01785,1.01876,1.01971,1.0207,1.02173,1.0228,1.02392,1.02508,1.02628,1.02754,1.02884,1.03019,1.03159,1.03304,1.03454,1.0361,1.0377,1.03936,1.04106,1.04282,1.04463,1.04649,1.0484,1.05037,1.05238,1.05443,1.05654,1.05869,1.06088,1.06311,1.06539,1.0677,1.07004,1.07241,1.07481,1.07724,1.07969,1.08215,1.08463,1.08711,1.0896,1.09209,1.09457,1.09703,1.09949,1.10191,1.10431,1.10668,1.109,1.11127,1.11349,1.11565,1.11774,1.11975,1.12168,1.12352,1.12526,1.12689,1.12842,1.12982,1.13109,1.13223,1.13323,1.13407,1.13476,1.13528,1.13563,1.1358,1.13578,1.13557,1.13517,1.13455,1.13372,1.13268,1.13141,1.12992,1.12819,1.12622,1.12401,1.12156,1.11886,1.11592,1.11272,1.10926,1.10556,1.10161,1.0974,1.09294,1.08825,1.08331,1.07813,1.07272,1.0671,1.06126,1.05521,1.04897,1.04255,1.03597,1.02922,1.02234,1.01534,1.00822,1.00102,0.993752,0.98643,0.979076,0.971709,0.964351,0.95702,0.949736,0.942518,0.935386,0.928356,0.921446,0.914672,0.90805,0.901592,0.895312,0.88922,0.883325,0.877636,0.87216,0.8669,0.86186,0.857043,0.852447,0.848073,0.843918,0.839978,0.836249,0.832725,0.829399,0.826265,0.823313,0.820535,0.817922,0.815464,0.813151,0.810973,0.808919,0.806977,0.805138,0.803389,0.80172,0.800119,0.798574,0.797074,0.795608,0.794162,0.792725,0.791283,0.789825,0.788336,0.786802,0.78521,0.783542,0.781784,0.779918,0.777927,0.77579,0.773487,0.770997,0.768295,0.765357,0.762156,0.758663,0.754847,0.750675,0.746113,0.741123,0.735666,0.729701,0.723184,0.716071,0.708315,0.699869,0.690684,0.680712,0.669907,0.658224,0.645619,0.632056,0.617504,0.601938,0.585345,0.567725,0.549091,0.529473,0.50892,0.487501,0.465313,0.442469,0.419112,0.395404,0.371529,0.347685,0.324083},
{1.01542,1.01622,1.01706,1.01794,1.01886,1.01982,1.02082,1.02187,1.02296,1.02409,1.02527,1.02649,1.02777,1.02909,1.03047,1.03189,1.03337,1.0349,1.03649,1.03812,1.03981,1.04156,1.04336,1.04522,1.04713,1.04909,1.0511,1.05317,1.05529,1.05746,1.05968,1.06194,1.06425,1.06661,1.069,1.07143,1.0739,1.0764,1.07893,1.08148,1.08405,1.08665,1.08925,1.09186,1.09448,1.09709,1.0997,1.10229,1.10487,1.10742,1.10993,1.11241,1.11485,1.11723,1.11956,1.12182,1.124,1.12611,1.12813,1.13005,1.13187,1.13357,1.13516,1.13662,1.13794,1.13913,1.14016,1.14103,1.14174,1.14227,1.14262,1.14278,1.14275,1.14252,1.14207,1.14142,1.14054,1.13943,1.13809,1.13652,1.1347,1.13264,1.13033,1.12777,1.12496,1.12188,1.11856,1.11497,1.11113,1.10703,1.10268,1.09808,1.09323,1.08814,1.08282,1.07728,1.07151,1.06554,1.05936,1.05301,1.04648,1.03979,1.03296,1.026,1.01893,1.01177,1.00453,0.997244,0.989921,0.982582,0.975249,0.96794,0.960677,0.953477,0.94636,0.939344,0.932446,0.925683,0.91907,0.912619,0.906345,0.900258,0.894367,0.888681,0.883205,0.877946,0.872906,0.868087,0.863489,0.859112,0.854953,0.851008,0.847273,0.843743,0.84041,0.837267,0.834306,0.831519,0.828895,0.826424,0.824098,0.821905,0.819834,0.817874,0.816015,0.814245,0.812552,0.810925,0.809352,0.807821,0.806319,0.804836,0.803357,0.80187,0.800362,0.798818,0.797224,0.795566,0.793826,0.791989,0.790036,0.78795,0.785709,0.783293,0.780678,0.777841,0.774755,0.771393,0.767725,0.763719,0.759341,0.754555,0.749323,0.743605,0.737358,0.730539,0.723102,0.714999,0.706183,0.696606,0.686219,0.674976,0.662832,0.649748,0.635687,0.620621,0.604529,0.587402,0.569244,0.550073,0.529927,0.50886,0.486952,0.464303,0.441038,0.417306,0.393277,0.369139,0.345096,0.32136},
{1.01548,1.01629,1.01714,1.01803,1.01896,1.01993,1.02094,1.022,1.0231,1.02425,1.02544,1.02669,1.02798,1.02933,1.03073,1.03218,1.03368,1.03524,1.03685,1.03852,1.04025,1.04204,1.04388,1.04577,1.04773,1.04974,1.05181,1.05394,1.05611,1.05835,1.06063,1.06297,1.06535,1.06779,1.07026,1.07278,1.07534,1.07794,1.08057,1.08323,1.08591,1.08862,1.09134,1.09408,1.09683,1.09957,1.10232,1.10505,1.10777,1.11047,1.11315,1.11579,1.11839,1.12094,1.12343,1.12587,1.12823,1.13052,1.13272,1.13482,1.13683,1.13872,1.1405,1.14215,1.14366,1.14504,1.14626,1.14732,1.14822,1.14894,1.14948,1.14983,1.14998,1.14993,1.14967,1.14919,1.14848,1.14755,1.14638,1.14496,1.14331,1.1414,1.13924,1.13682,1.13415,1.13121,1.12801,1.12455,1.12083,1.11684,1.1126,1.1081,1.10336,1.09837,1.09313,1.08767,1.08198,1.07609,1.06998,1.06369,1.05722,1.05059,1.04382,1.03691,1.02988,1.02276,1.01557,1.00832,1.00103,0.993716,0.98641,0.979125,0.971883,0.964703,0.957603,0.950602,0.943717,0.936965,0.930361,0.923919,0.917652,0.91157,0.905683,0.9,0.894526,0.889268,0.884227,0.879407,0.874808,0.870428,0.866265,0.862316,0.858576,0.85504,0.851701,0.84855,0.845581,0.842784,0.84015,0.837668,0.835329,0.833122,0.831036,0.82906,0.827183,0.825393,0.823678,0.822027,0.820427,0.818868,0.817335,0.815817,0.814301,0.812773,0.811219,0.809626,0.807978,0.806259,0.804455,0.802546,0.800516,0.798344,0.79601,0.793492,0.790767,0.787809,0.784592,0.781087,0.777263,0.773088,0.768527,0.763544,0.758099,0.752151,0.745658,0.738574,0.730852,0.722447,0.713309,0.70339,0.692642,0.68102,0.668479,0.65498,0.640489,0.62498,0.608435,0.590847,0.572225,0.552592,0.531989,0.510477,0.488141,0.465089,0.441449,0.417378,0.39305,0.368659,0.344411,0.320517},
{1.01554,1.01636,1.01721,1.01811,1.01905,1.02003,1.02105,1.02212,1.02324,1.0244,1.02561,1.02687,1.02818,1.02955,1.03097,1.03244,1.03397,1.03556,1.0372,1.0389,1.04067,1.04249,1.04437,1.04631,1.04831,1.05037,1.05249,1.05467,1.05691,1.0592,1.06155,1.06396,1.06642,1.06893,1.07149,1.07409,1.07674,1.07944,1.08216,1.08493,1.08772,1.09055,1.09339,1.09625,1.09912,1.102,1.10489,1.10777,1.11064,1.11349,1.11632,1.11912,1.12188,1.1246,1.12727,1.12988,1.13242,1.13489,1.13728,1.13957,1.14177,1.14385,1.14582,1.14767,1.14938,1.15095,1.15237,1.15363,1.15473,1.15564,1.15638,1.15692,1.15727,1.1574,1.15733,1.15703,1.15651,1.15575,1.15475,1.15351,1.15202,1.15027,1.14827,1.146,1.14348,1.14068,1.13762,1.13429,1.13069,1.12683,1.12271,1.11832,1.11368,1.10879,1.10365,1.09828,1.09268,1.08686,1.08083,1.07461,1.06821,1.06164,1.05491,1.04806,1.04108,1.03401,1.02686,1.01964,1.01238,1.00511,0.997828,0.99057,0.98335,0.97619,0.969108,0.962123,0.955252,0.948511,0.941917,0.935483,0.929222,0.923145,0.917262,0.911581,0.906109,0.900851,0.89581,0.890988,0.886386,0.882002,0.877834,0.87388,0.870134,0.86659,0.863242,0.860082,0.857102,0.854293,0.851646,0.84915,0.846795,0.844571,0.842466,0.84047,0.838569,0.836754,0.835012,0.833331,0.831699,0.830104,0.828532,0.82697,0.825407,0.823826,0.822216,0.82056,0.818844,0.817051,0.815164,0.813166,0.811037,0.808758,0.806307,0.803661,0.800796,0.797686,0.794303,0.790618,0.786599,0.782211,0.777421,0.772189,0.766475,0.760238,0.753434,0.746017,0.73794,0.729154,0.719613,0.709266,0.698067,0.685971,0.672935,0.658921,0.643898,0.627842,0.610741,0.592591,0.573406,0.553216,0.532069,0.510034,0.487203,0.463691,0.439637,0.415204,0.390574,0.365944,0.341525,0.317529},
{1.01559,1.01641,1.01728,1.01819,1.01913,1.02012,1.02116,1.02224,1.02336,1.02454,1.02577,1.02704,1.02837,1.02976,1.0312,1.03269,1.03425,1.03586,1.03753,1.03927,1.04106,1.04292,1.04483,1.04682,1.04886,1.05097,1.05314,1.05537,1.05766,1.06002,1.06244,1.06491,1.06744,1.07003,1.07267,1.07536,1.0781,1.08089,1.08372,1.08659,1.08949,1.09242,1.09539,1.09837,1.10137,1.10439,1.10741,1.11043,1.11345,1.11646,1.11944,1.12241,1.12534,1.12823,1.13107,1.13386,1.13658,1.13924,1.14181,1.1443,1.14669,1.14897,1.15114,1.15319,1.1551,1.15687,1.1585,1.15996,1.16126,1.16238,1.16331,1.16406,1.1646,1.16494,1.16505,1.16495,1.16461,1.16404,1.16323,1.16216,1.16084,1.15927,1.15743,1.15532,1.15295,1.1503,1.14739,1.1442,1.14073,1.137,1.133,1.12873,1.1242,1.11941,1.11438,1.1091,1.10359,1.09785,1.09191,1.08576,1.07943,1.07292,1.06626,1.05946,1.05254,1.04552,1.03841,1.03123,1.02401,1.01677,1.00952,1.00229,0.995094,0.987956,0.980893,0.973925,0.967069,0.960342,0.953758,0.947334,0.94108,0.935009,0.929131,0.923454,0.917984,0.912726,0.907685,0.902862,0.898258,0.893871,0.8897,0.885741,0.881989,0.878439,0.875084,0.871916,0.868927,0.866108,0.863449,0.860941,0.858573,0.856334,0.854213,0.852198,0.850279,0.848442,0.846677,0.84497,0.84331,0.841684,0.840078,0.83848,0.836877,0.835253,0.833594,0.831886,0.830112,0.828256,0.826301,0.824227,0.822017,0.819648,0.8171,0.814348,0.811368,0.808132,0.804613,0.800779,0.796599,0.792038,0.78706,0.781625,0.775693,0.769222,0.762166,0.75448,0.746115,0.737024,0.727158,0.716468,0.704909,0.692433,0.679002,0.664577,0.64913,0.632639,0.615093,0.596494,0.576859,0.556221,0.534633,0.51217,0.488929,0.465032,0.440622,0.415866,0.390951,0.366079,0.341461,0.31731},
{1.01563,1.01647,1.01734,1.01825,1.01921,1.02021,1.02125,1.02234,1.02348,1.02467,1.02591,1.0272,1.02855,1.02995,1.03141,1.03293,1.03451,1.03614,1.03784,1.03961,1.04143,1.04332,1.04528,1.0473,1.04939,1.05154,1.05376,1.05604,1.05839,1.06081,1.06329,1.06583,1.06843,1.07109,1.07381,1.07659,1.07942,1.0823,1.08522,1.0882,1.09121,1.09426,1.09734,1.10044,1.10358,1.10672,1.10988,1.11305,1.11622,1.11938,1.12252,1.12565,1.12875,1.13181,1.13483,1.1378,1.14071,1.14355,1.14632,1.149,1.15158,1.15407,1.15644,1.15869,1.16081,1.16279,1.16462,1.1663,1.1678,1.16913,1.17028,1.17123,1.17198,1.17251,1.17283,1.17293,1.17279,1.17241,1.17178,1.17091,1.16977,1.16837,1.1667,1.16477,1.16256,1.16007,1.1573,1.15426,1.15094,1.14734,1.14347,1.13932,1.13491,1.13024,1.12531,1.12013,1.11472,1.10907,1.10321,1.09714,1.09088,1.08445,1.07785,1.07111,1.06425,1.05727,1.05021,1.04308,1.0359,1.02869,1.02147,1.01427,1.0071,0.999986,0.992944,0.985993,0.979152,0.972438,0.965866,0.95945,0.953204,0.947139,0.941265,0.93559,0.930121,0.924864,0.919821,0.914996,0.910388,0.905996,0.901819,0.897853,0.894093,0.890534,0.887168,0.883989,0.880987,0.878153,0.875479,0.872954,0.870566,0.868306,0.866162,0.864123,0.862176,0.860309,0.858511,0.856768,0.855068,0.853398,0.851745,0.850095,0.848434,0.846748,0.84502,0.843237,0.841381,0.839435,0.837381,0.835201,0.832873,0.830376,0.827687,0.824783,0.821636,0.818219,0.814503,0.810456,0.806044,0.801232,0.795982,0.790254,0.784007,0.777196,0.769776,0.7617,0.752921,0.743388,0.733054,0.721871,0.709792,0.696773,0.682776,0.667766,0.651717,0.634611,0.616443,0.597219,0.576964,0.555718,0.533543,0.510521,0.486761,0.46239,0.437564,0.412457,0.387263,0.362187,0.337444,0.313246},
{1.01567,1.01651,1.01739,1.01831,1.01928,1.02028,1.02134,1.02244,1.02359,1.02479,1.02604,1.02735,1.02871,1.03013,1.03161,1.03315,1.03475,1.03641,1.03814,1.03993,1.04179,1.04371,1.0457,1.04776,1.04989,1.05209,1.05435,1.05669,1.05909,1.06156,1.0641,1.06671,1.06938,1.07212,1.07492,1.07778,1.08069,1.08366,1.08669,1.08976,1.09288,1.09604,1.09924,1.10247,1.10573,1.10901,1.11231,1.11562,1.11893,1.12225,1.12555,1.12884,1.13211,1.13535,1.13854,1.1417,1.14479,1.14783,1.15079,1.15367,1.15646,1.15914,1.16172,1.16418,1.16651,1.16871,1.17075,1.17264,1.17436,1.17591,1.17727,1.17843,1.17939,1.18014,1.18067,1.18097,1.18104,1.18086,1.18043,1.17975,1.1788,1.17759,1.1761,1.17434,1.1723,1.16998,1.16737,1.16448,1.16131,1.15786,1.15412,1.15011,1.14582,1.14127,1.13645,1.13138,1.12607,1.12052,1.11475,1.10877,1.10259,1.09623,1.0897,1.08302,1.07621,1.0693,1.06228,1.0552,1.04806,1.04089,1.03371,1.02654,1.01939,1.0123,1.00528,0.998352,0.991529,0.984829,0.978269,0.971864,0.965626,0.959568,0.953699,0.948028,0.942561,0.937305,0.932262,0.927435,0.922825,0.918429,0.914248,0.910276,0.906509,0.902942,0.899567,0.896377,0.893364,0.890518,0.88783,0.885289,0.882885,0.880607,0.878443,0.876381,0.87441,0.872517,0.870689,0.868915,0.867181,0.865473,0.863779,0.862083,0.860373,0.858632,0.856846,0.854997,0.853071,0.851048,0.84891,0.846637,0.844208,0.841602,0.838794,0.83576,0.832472,0.828902,0.825019,0.820791,0.816184,0.811161,0.805684,0.799711,0.7932,0.786106,0.778384,0.769985,0.760862,0.750965,0.740245,0.728656,0.71615,0.702686,0.688226,0.672737,0.656196,0.638588,0.619911,0.600177,0.579413,0.557668,0.535008,0.511521,0.487323,0.462549,0.437359,0.411933,0.38647,0.361177,0.336273,0.311966},
{1.01571,1.01655,1.01744,1.01837,1.01934,1.02035,1.02142,1.02253,1.02369,1.0249,1.02617,1.02749,1.02887,1.0303,1.0318,1.03336,1.03498,1.03666,1.03842,1.04023,1.04212,1.04408,1.0461,1.0482,1.05036,1.0526,1.05492,1.0573,1.05976,1.06229,1.06489,1.06756,1.0703,1.07311,1.07598,1.07892,1.08193,1.08499,1.08811,1.09128,1.09451,1.09778,1.10109,1.10445,1.10783,1.11124,1.11468,1.11813,1.1216,1.12507,1.12853,1.13199,1.13542,1.13884,1.14221,1.14555,1.14884,1.15206,1.15522,1.1583,1.1613,1.16419,1.16698,1.16966,1.1722,1.17461,1.17688,1.17899,1.18093,1.1827,1.18428,1.18566,1.18684,1.18781,1.18856,1.18907,1.18935,1.18938,1.18916,1.18868,1.18793,1.18691,1.18561,1.18404,1.18218,1.18003,1.17759,1.17486,1.17185,1.16854,1.16495,1.16108,1.15692,1.15249,1.1478,1.14284,1.13764,1.13219,1.12651,1.12062,1.11453,1.10824,1.10179,1.09518,1.08844,1.08158,1.07462,1.06758,1.06049,1.05336,1.04621,1.03907,1.03196,1.0249,1.0179,1.01099,1.00419,0.997502,0.990956,0.984561,0.978333,0.972281,0.966417,0.96075,0.955285,0.950029,0.944986,0.940157,0.935543,0.931143,0.926955,0.922976,0.919201,0.915624,0.912238,0.909036,0.90601,0.903149,0.900444,0.897885,0.895461,0.893161,0.890972,0.888884,0.886884,0.884959,0.883097,0.881285,0.879509,0.877756,0.876011,0.874261,0.872491,0.870685,0.868828,0.866902,0.86489,0.862774,0.860534,0.85815,0.855601,0.852863,0.849911,0.84672,0.843263,0.839508,0.835425,0.830981,0.826139,0.820863,0.815112,0.808845,0.802018,0.794585,0.786501,0.777716,0.768182,0.757849,0.74667,0.734597,0.721585,0.707593,0.692585,0.676532,0.659413,0.641218,0.621949,0.601624,0.580278,0.557963,0.534756,0.510753,0.486077,0.46087,0.435302,0.409559,0.383845,0.35837,0.333352,0.309},
{1.01574,1.01659,1.01748,1.01842,1.01939,1.02042,1.02149,1.02261,1.02378,1.025,1.02628,1.02762,1.02901,1.03046,1.03198,1.03355,1.03519,1.0369,1.03868,1.04052,1.04243,1.04442,1.04648,1.04861,1.05082,1.0531,1.05546,1.05789,1.0604,1.06298,1.06564,1.06837,1.07118,1.07406,1.07701,1.08003,1.08312,1.08627,1.08948,1.09276,1.09609,1.09947,1.1029,1.10637,1.10988,1.11343,1.117,1.1206,1.12421,1.12784,1.13146,1.13508,1.13869,1.14228,1.14584,1.14936,1.15284,1.15626,1.15962,1.1629,1.16611,1.16921,1.17222,1.17511,1.17788,1.18051,1.183,1.18533,1.1875,1.1895,1.19131,1.19292,1.19433,1.19552,1.19649,1.19723,1.19773,1.19798,1.19797,1.1977,1.19715,1.19634,1.19524,1.19385,1.19218,1.19021,1.18795,1.1854,1.18255,1.1794,1.17596,1.17223,1.16822,1.16392,1.15935,1.15452,1.14943,1.14409,1.13851,1.13272,1.12671,1.12051,1.11414,1.1076,1.10092,1.09413,1.08722,1.08024,1.07319,1.06611,1.059,1.0519,1.04482,1.03779,1.03082,1.02393,1.01714,1.01047,1.00394,0.99756,0.991341,0.985298,0.97944,0.973777,0.968315,0.96306,0.958016,0.953185,0.948568,0.944164,0.939971,0.935985,0.932202,0.928616,0.92522,0.922006,0.918966,0.91609,0.913369,0.910792,0.908348,0.906026,0.903814,0.9017,0.899671,0.897715,0.895819,0.893969,0.892152,0.890355,0.888562,0.886758,0.88493,0.88306,0.881133,0.879131,0.877036,0.87483,0.872491,0.87,0.867333,0.864467,0.861377,0.858035,0.854414,0.850481,0.846206,0.841553,0.836487,0.830967,0.824955,0.818407,0.811279,0.803524,0.795095,0.785944,0.776021,0.765277,0.753664,0.741135,0.727647,0.71316,0.697639,0.681058,0.6634,0.644658,0.624838,0.603964,0.582076,0.559233,0.535517,0.511034,0.485912,0.460302,0.434378,0.408333,0.382372,0.356712,0.331568,0.307147},
{1.01577,1.01662,1.01752,1.01846,1.01944,1.02047,1.02155,1.02268,1.02386,1.0251,1.02639,1.02773,1.02914,1.03061,1.03214,1.03373,1.03539,1.03712,1.03892,1.04079,1.04273,1.04475,1.04684,1.049,1.05125,1.05357,1.05597,1.05845,1.06101,1.06364,1.06636,1.06915,1.07203,1.07497,1.078,1.0811,1.08427,1.08751,1.09082,1.09419,1.09762,1.10111,1.10466,1.10825,1.11189,1.11556,1.11928,1.12302,1.12678,1.13055,1.13434,1.13813,1.14191,1.14567,1.14941,1.15312,1.15679,1.16041,1.16398,1.16747,1.17088,1.1742,1.17743,1.18054,1.18353,1.18639,1.18911,1.19167,1.19408,1.1963,1.19835,1.20019,1.20184,1.20326,1.20446,1.20543,1.20616,1.20663,1.20684,1.20679,1.20646,1.20586,1.20496,1.20378,1.2023,1.20053,1.19845,1.19608,1.1934,1.19042,1.18714,1.18357,1.1797,1.17554,1.17111,1.1664,1.16143,1.1562,1.15074,1.14504,1.13913,1.13302,1.12673,1.12027,1.11367,1.10693,1.10009,1.09316,1.08617,1.07913,1.07207,1.065,1.05796,1.05095,1.04401,1.03715,1.03038,1.02373,1.01721,1.01084,1.00463,0.998599,0.992747,0.987088,0.981628,0.976373,0.971328,0.966494,0.961873,0.957462,0.953262,0.949267,0.945473,0.941874,0.938464,0.935235,0.932177,0.929283,0.92654,0.92394,0.921471,0.91912,0.916877,0.914729,0.912664,0.910667,0.908727,0.906828,0.904958,0.903103,0.901246,0.899373,0.897469,0.895516,0.893498,0.891396,0.889193,0.886868,0.884401,0.881769,0.878948,0.875916,0.872644,0.869104,0.865268,0.861103,0.856576,0.85165,0.846289,0.840452,0.834098,0.827183,0.819661,0.811486,0.802608,0.792979,0.78255,0.771272,0.759096,0.745978,0.731875,0.71675,0.700571,0.683317,0.664974,0.64554,0.62503,0.603474,0.580919,0.557436,0.533116,0.508074,0.482448,0.456399,0.43011,0.40378,0.377619,0.351847,0.326676,0.302309},
{1.01579,1.01665,1.01755,1.01849,1.01949,1.02052,1.02161,1.02275,1.02394,1.02518,1.02648,1.02784,1.02926,1.03074,1.03229,1.0339,1.03558,1.03733,1.03915,1.04104,1.04301,1.04505,1.04718,1.04938,1.05165,1.05402,1.05646,1.05898,1.06159,1.06428,1.06705,1.0699,1.07284,1.07585,1.07895,1.08213,1.08538,1.08871,1.0921,1.09557,1.09911,1.10271,1.10636,1.11008,1.11384,1.11765,1.1215,1.12538,1.12929,1.13322,1.13717,1.14112,1.14507,1.14902,1.15294,1.15684,1.16071,1.16453,1.16829,1.17199,1.17562,1.17916,1.1826,1.18594,1.18916,1.19226,1.19521,1.19801,1.20065,1.20312,1.2054,1.20749,1.20937,1.21104,1.21248,1.21369,1.21465,1.21535,1.2158,1.21597,1.21587,1.21548,1.21481,1.21383,1.21256,1.21099,1.2091,1.20692,1.20442,1.20162,1.19851,1.19509,1.19138,1.18738,1.18308,1.17851,1.17367,1.16856,1.16321,1.15762,1.15182,1.1458,1.1396,1.13322,1.12669,1.12003,1.11326,1.10639,1.09945,1.09246,1.08545,1.07843,1.07142,1.06445,1.05753,1.0507,1.04395,1.03733,1.03083,1.02447,1.01828,1.01225,1.00641,1.00076,0.995303,0.990052,0.985009,0.980176,0.975554,0.971142,0.966938,0.962938,0.959139,0.955534,0.952116,0.948878,0.945811,0.942904,0.94015,0.937535,0.935051,0.932683,0.930422,0.928254,0.926166,0.924145,0.922178,0.920251,0.91835,0.916459,0.914565,0.912652,0.910703,0.908702,0.906631,0.904473,0.902207,0.899814,0.897273,0.894562,0.891655,0.888528,0.885155,0.881506,0.877551,0.873258,0.868592,0.863518,0.857997,0.851988,0.84545,0.838338,0.830606,0.822206,0.813091,0.80321,0.792514,0.780955,0.768484,0.755057,0.740632,0.725172,0.708648,0.691036,0.672328,0.652523,0.631636,0.609701,0.586768,0.56291,0.53822,0.512817,0.486842,0.460459,0.433852,0.407225,0.380788,0.35476,0.329356,0.304778},
{1.0158,1.01667,1.01758,1.01853,1.01952,1.02057,1.02166,1.0228,1.024,1.02526,1.02657,1.02794,1.02937,1.03087,1.03243,1.03405,1.03575,1.03752,1.03936,1.04128,1.04327,1.04534,1.04749,1.04973,1.05204,1.05444,1.05692,1.05949,1.06214,1.06488,1.06771,1.07062,1.07362,1.0767,1.07987,1.08312,1.08645,1.08986,1.09335,1.09691,1.10055,1.10425,1.10802,1.11186,1.11574,1.11968,1.12366,1.12769,1.13175,1.13583,1.13994,1.14406,1.14818,1.1523,1.15642,1.16051,1.16457,1.16859,1.17256,1.17647,1.18031,1.18408,1.18775,1.19132,1.19477,1.1981,1.20129,1.20433,1.20722,1.20993,1.21246,1.2148,1.21693,1.21884,1.22053,1.22198,1.22318,1.22413,1.22481,1.22522,1.22535,1.22519,1.22474,1.22399,1.22293,1.22156,1.21988,1.21789,1.21558,1.21296,1.21003,1.20679,1.20324,1.19939,1.19525,1.19082,1.18611,1.18114,1.17591,1.17043,1.16473,1.15882,1.15271,1.14642,1.13997,1.13339,1.12668,1.11988,1.113,1.10607,1.0991,1.09212,1.08515,1.07822,1.07134,1.06453,1.05781,1.0512,1.04472,1.03838,1.0322,1.02619,1.02035,1.01471,1.00925,1.00401,0.998962,0.994127,0.989501,0.985084,0.980873,0.976866,0.973056,0.96944,0.966008,0.962755,0.95967,0.956745,0.95397,0.951332,0.948822,0.946427,0.944135,0.941933,0.939808,0.937747,0.935736,0.933761,0.931806,0.929859,0.927902,0.925919,0.923895,0.921812,0.919652,0.917396,0.915025,0.912516,0.909849,0.907,0.903944,0.900655,0.897106,0.893266,0.889104,0.884587,0.879679,0.874344,0.868542,0.862231,0.855368,0.847908,0.839804,0.831008,0.82147,0.811142,0.799974,0.787917,0.774924,0.760951,0.745958,0.729912,0.712784,0.694557,0.675223,0.65479,0.633277,0.610725,0.587191,0.562756,0.537521,0.511614,0.485184,0.458401,0.431458,0.404563,0.377928,0.351775,0.326316,0.301745},
{1.01582,1.01669,1.0176,1.01855,1.01955,1.0206,1.0217,1.02286,1.02406,1.02532,1.02664,1.02803,1.02947,1.03098,1.03255,1.0342,1.03591,1.0377,1.03956,1.0415,1.04351,1.04561,1.04779,1.05005,1.0524,1.05484,1.05736,1.05997,1.06267,1.06545,1.06833,1.0713,1.07436,1.07751,1.08074,1.08407,1.08748,1.09097,1.09455,1.09821,1.10195,1.10576,1.10964,1.11358,1.11759,1.12166,1.12578,1.12994,1.13415,1.13839,1.14266,1.14694,1.15124,1.15554,1.15984,1.16412,1.16838,1.1726,1.17678,1.18091,1.18497,1.18896,1.19286,1.19666,1.20035,1.20392,1.20735,1.21064,1.21378,1.21674,1.21952,1.22211,1.2245,1.22666,1.22861,1.23031,1.23177,1.23296,1.23389,1.23455,1.23492,1.235,1.23477,1.23425,1.23341,1.23227,1.2308,1.22901,1.22691,1.22448,1.22173,1.21867,1.2153,1.21161,1.20763,1.20335,1.19878,1.19394,1.18884,1.18349,1.1779,1.1721,1.16609,1.15989,1.15353,1.14703,1.1404,1.13366,1.12685,1.11997,1.11306,1.10613,1.0992,1.09231,1.08546,1.07868,1.07199,1.06541,1.05895,1.05263,1.04646,1.04046,1.03463,1.029,1.02355,1.01831,1.01326,1.00843,1.0038,0.999382,0.995167,0.991153,0.987336,0.98371,0.980267,0.977002,0.973903,0.970962,0.968169,0.965512,0.96298,0.960562,0.958243,0.956013,0.953857,0.951762,0.949713,0.947697,0.945699,0.943703,0.941693,0.939653,0.937566,0.935415,0.93318,0.930843,0.928382,0.925778,0.923006,0.920044,0.916865,0.913443,0.909749,0.905752,0.901421,0.896722,0.891618,0.88607,0.88004,0.873485,0.86636,0.85862,0.850218,0.841104,0.83123,0.820545,0.809001,0.796548,0.783141,0.768736,0.753294,0.736784,0.719179,0.700464,0.680636,0.659702,0.63769,0.614643,0.590623,0.565716,0.540029,0.513695,0.486868,0.459724,0.432459,0.405283,0.378412,0.352068,0.326459,0.301781},
{1.01583,1.0167,1.01761,1.01857,1.01958,1.02064,1.02174,1.0229,1.02411,1.02538,1.02671,1.0281,1.02956,1.03108,1.03267,1.03433,1.03606,1.03786,1.03974,1.0417,1.04374,1.04586,1.04807,1.05036,1.05274,1.05521,1.05777,1.06042,1.06316,1.066,1.06893,1.07195,1.07507,1.07828,1.08159,1.08498,1.08847,1.09205,1.09571,1.09946,1.1033,1.10721,1.1112,1.11526,1.11939,1.12359,1.12784,1.13215,1.1365,1.14089,1.14532,1.14977,1.15424,1.15872,1.1632,1.16768,1.17213,1.17656,1.18095,1.1853,1.18958,1.19379,1.19792,1.20196,1.20589,1.20971,1.21339,1.21693,1.22032,1.22354,1.22658,1.22943,1.23207,1.2345,1.23671,1.23867,1.24039,1.24184,1.24303,1.24393,1.24455,1.24488,1.2449,1.24461,1.24401,1.24309,1.24184,1.24027,1.23837,1.23615,1.2336,1.23072,1.22753,1.22402,1.2202,1.21608,1.21166,1.20697,1.202,1.19678,1.19131,1.18562,1.17972,1.17362,1.16736,1.16094,1.15439,1.14772,1.14098,1.13416,1.1273,1.12042,1.11355,1.10669,1.09988,1.09314,1.08648,1.07992,1.07348,1.06718,1.06103,1.05504,1.04922,1.04359,1.03815,1.03291,1.02787,1.02303,1.0184,1.01398,1.00975,1.00573,1.0019,0.998265,0.994809,0.991527,0.988409,0.985448,0.982632,0.979949,0.977389,0.97494,0.972588,0.97032,0.968123,0.965984,0.963886,0.961817,0.95976,0.9577,0.955621,0.953505,0.951336,0.949094,0.946761,0.944317,0.941741,0.939009,0.9361,0.932988,0.929646,0.926048,0.922162,0.917959,0.913405,0.908463,0.903099,0.897271,0.890939,0.88406,0.876589,0.868478,0.859681,0.850147,0.839827,0.828672,0.816631,0.803657,0.789705,0.774733,0.758704,0.741588,0.723363,0.704018,0.683553,0.661983,0.63934,0.615675,0.591057,0.565579,0.539358,0.512534,0.485269,0.457746,0.430167,0.402746,0.375701,0.349252,0.323607,0.298951},
{1.01583,1.01671,1.01763,1.01859,1.0196,1.02066,1.02177,1.02294,1.02416,1.02544,1.02677,1.02817,1.02964,1.03117,1.03277,1.03444,1.03619,1.03801,1.03991,1.04189,1.04395,1.0461,1.04833,1.05065,1.05306,1.05557,1.05816,1.06085,1.06364,1.06652,1.0695,1.07257,1.07575,1.07902,1.08239,1.08586,1.08942,1.09308,1.09683,1.10067,1.1046,1.10862,1.11271,1.11689,1.12114,1.12546,1.12985,1.13429,1.13879,1.14334,1.14792,1.15254,1.15719,1.16185,1.16651,1.17118,1.17584,1.18047,1.18507,1.18964,1.19414,1.19859,1.20295,1.20723,1.2114,1.21547,1.2194,1.2232,1.22685,1.23033,1.23363,1.23675,1.23966,1.24236,1.24483,1.24706,1.24905,1.25077,1.25222,1.25338,1.25426,1.25484,1.25511,1.25507,1.25471,1.25403,1.25301,1.25167,1.24999,1.24798,1.24563,1.24295,1.23995,1.23662,1.23298,1.22902,1.22477,1.22022,1.2154,1.21031,1.20498,1.1994,1.19362,1.18763,1.18146,1.17513,1.16867,1.16209,1.15541,1.14866,1.14186,1.13504,1.12821,1.1214,1.11463,1.10793,1.1013,1.09477,1.08835,1.08207,1.07594,1.06997,1.06417,1.05854,1.05311,1.04787,1.04284,1.038,1.03337,1.02894,1.02472,1.02069,1.01685,1.0132,1.00973,1.00644,1.00331,1.00033,0.997492,0.994788,0.992204,0.989728,0.987348,0.985048,0.982817,0.980639,0.978501,0.976386,0.97428,0.972167,0.970029,0.967849,0.96561,0.963293,0.960878,0.958344,0.95567,0.952833,0.949809,0.946572,0.943096,0.939352,0.935309,0.930935,0.926197,0.921058,0.91548,0.909424,0.902847,0.895705,0.887953,0.879543,0.870427,0.860556,0.849878,0.838345,0.825907,0.812517,0.798131,0.782707,0.76621,0.748612,0.729894,0.710047,0.689074,0.666994,0.643843,0.619675,0.594567,0.568617,0.541945,0.514698,0.487042,0.459164,0.431271,0.403579,0.376306,0.349675,0.323887,0.299128},
{1.01583,1.01671,1.01763,1.0186,1.01962,1.02068,1.0218,1.02297,1.02419,1.02548,1.02683,1.02824,1.02971,1.03125,1.03287,1.03455,1.03631,1.03815,1.04007,1.04206,1.04415,1.04632,1.04857,1.05092,1.05336,1.0559,1.05853,1.06126,1.06408,1.06701,1.07004,1.07316,1.07639,1.07973,1.08316,1.0867,1.09033,1.09407,1.0979,1.10183,1.10586,1.10997,1.11418,1.11847,1.12284,1.12728,1.1318,1.13639,1.14103,1.14573,1.15047,1.15526,1.16007,1.16491,1.16977,1.17463,1.17948,1.18433,1.18914,1.19392,1.19866,1.20333,1.20793,1.21245,1.21688,1.22119,1.22539,1.22945,1.23336,1.23711,1.24068,1.24407,1.24725,1.25023,1.25297,1.25548,1.25774,1.25973,1.26146,1.26289,1.26404,1.26488,1.26542,1.26563,1.26552,1.26508,1.26431,1.2632,1.26175,1.25996,1.25783,1.25536,1.25255,1.24942,1.24596,1.24218,1.23809,1.23371,1.22904,1.22409,1.21889,1.21345,1.20778,1.2019,1.19584,1.18961,1.18324,1.17674,1.17014,1.16346,1.15673,1.14997,1.1432,1.13644,1.12971,1.12304,1.11645,1.10995,1.10356,1.09731,1.09119,1.08524,1.07945,1.07384,1.06842,1.06319,1.05815,1.05332,1.04869,1.04426,1.04003,1.03599,1.03215,1.02849,1.02501,1.0217,1.01855,1.01556,1.0127,1.00998,1.00737,1.00487,1.00246,1.00012,0.997858,0.995642,0.993461,0.991301,0.989145,0.986976,0.984779,0.982534,0.980224,0.97783,0.975331,0.972707,0.969934,0.96699,0.963851,0.960488,0.956876,0.952985,0.948783,0.944238,0.939315,0.933978,0.928186,0.921901,0.915078,0.907674,0.899641,0.890933,0.881501,0.871293,0.86026,0.848353,0.835522,0.821721,0.806905,0.791035,0.774077,0.756005,0.736801,0.71646,0.694988,0.672407,0.648758,0.624098,0.59851,0.572095,0.54498,0.517316,0.489272,0.461043,0.432836,0.404868,0.377362,0.350537,0.324594,0.299714},
{1.01583,1.01671,1.01763,1.01861,1.01962,1.02069,1.02182,1.02299,1.02422,1.02552,1.02687,1.02829,1.02977,1.03132,1.03295,1.03465,1.03642,1.03827,1.04021,1.04222,1.04433,1.04652,1.0488,1.05117,1.05364,1.05621,1.05887,1.06164,1.0645,1.06747,1.07055,1.07372,1.07701,1.0804,1.0839,1.0875,1.09121,1.09502,1.09894,1.10295,1.10707,1.11129,1.1156,1.12,1.12448,1.12905,1.1337,1.13842,1.14321,1.14806,1.15296,1.15791,1.1629,1.16792,1.17296,1.17802,1.18307,1.18812,1.19315,1.19816,1.20312,1.20803,1.21287,1.21763,1.22231,1.22688,1.23134,1.23566,1.23984,1.24386,1.24771,1.25138,1.25484,1.2581,1.26113,1.26392,1.26646,1.26874,1.27074,1.27246,1.27388,1.275,1.2758,1.27628,1.27643,1.27625,1.27573,1.27486,1.27365,1.27209,1.27018,1.26793,1.26533,1.2624,1.25913,1.25554,1.25163,1.24742,1.24291,1.23812,1.23306,1.22775,1.22221,1.21645,1.2105,1.20438,1.1981,1.19169,1.18518,1.17858,1.17191,1.16521,1.1585,1.15179,1.14512,1.13849,1.13193,1.12547,1.11911,1.11288,1.10679,1.10085,1.09508,1.08948,1.08407,1.07885,1.07382,1.06899,1.06436,1.05993,1.05569,1.05165,1.0478,1.04414,1.04064,1.03732,1.03416,1.03115,1.02827,1.02552,1.02289,1.02036,1.01792,1.01556,1.01326,1.011,1.00878,1.00657,1.00436,1.00214,0.999882,0.997572,0.995191,0.992719,0.990136,0.98742,0.984549,0.981497,0.978241,0.974752,0.971004,0.966965,0.962605,0.957889,0.952781,0.947245,0.941241,0.934728,0.927661,0.919996,0.911686,0.902682,0.892936,0.882396,0.871013,0.858737,0.845519,0.831312,0.816075,0.799768,0.782358,0.763822,0.744143,0.723319,0.701359,0.678289,0.654152,0.629012,0.602953,0.576083,0.548532,0.520456,0.492029,0.463448,0.434923,0.406675,0.378925,0.351893,0.325778,0.300758},
{1.01582,1.01671,1.01763,1.01861,1.01963,1.0207,1.02183,1.02301,1.02425,1.02555,1.02691,1.02833,1.02982,1.03139,1.03302,1.03473,1.03652,1.03838,1.04033,1.04237,1.04449,1.0467,1.04901,1.0514,1.0539,1.0565,1.05919,1.06199,1.0649,1.06791,1.07103,1.07425,1.07759,1.08104,1.0846,1.08826,1.09204,1.09593,1.09993,1.10403,1.10824,1.11255,1.11696,1.12147,1.12608,1.13077,1.13555,1.1404,1.14533,1.15033,1.15539,1.16051,1.16567,1.17087,1.1761,1.18134,1.1866,1.19186,1.19711,1.20233,1.20752,1.21267,1.21775,1.22277,1.2277,1.23253,1.23725,1.24184,1.24629,1.25059,1.25472,1.25867,1.26243,1.26597,1.26929,1.27237,1.2752,1.27777,1.28006,1.28207,1.28377,1.28517,1.28625,1.28701,1.28743,1.28752,1.28725,1.28664,1.28568,1.28436,1.28269,1.28066,1.27828,1.27556,1.2725,1.2691,1.26538,1.26134,1.257,1.25237,1.24746,1.2423,1.23689,1.23126,1.22543,1.21941,1.21324,1.20693,1.2005,1.19398,1.18739,1.18076,1.17411,1.16746,1.16083,1.15425,1.14774,1.14131,1.13498,1.12878,1.12271,1.11679,1.11104,1.10546,1.10005,1.09484,1.08981,1.08499,1.08035,1.07592,1.07168,1.06763,1.06377,1.06009,1.05658,1.05324,1.05006,1.04703,1.04413,1.04135,1.03869,1.03612,1.03365,1.03124,1.02889,1.02659,1.02431,1.02204,1.01977,1.01748,1.01514,1.01275,1.01027,1.0077,1.00501,1.00218,0.999176,0.995986,0.992579,0.988928,0.985004,0.980775,0.976208,0.971271,0.965925,0.960132,0.953852,0.947043,0.93966,0.931657,0.922987,0.9136,0.903448,0.892478,0.880642,0.867889,0.854171,0.839443,0.823663,0.806794,0.788806,0.769678,0.749397,0.727964,0.705393,0.681715,0.656979,0.631256,0.604636,0.577233,0.549186,0.520655,0.491823,0.46289,0.434071,0.405589,0.377666,0.350518,0.324341,0.299307},
{1.01581,1.0167,1.01763,1.0186,1.01963,1.02071,1.02184,1.02302,1.02426,1.02557,1.02694,1.02837,1.02987,1.03144,1.03308,1.0348,1.0366,1.03848,1.04045,1.0425,1.04464,1.04687,1.04919,1.05162,1.05414,1.05676,1.05949,1.06232,1.06527,1.06832,1.07148,1.07475,1.07814,1.08164,1.08526,1.08899,1.09284,1.0968,1.10087,1.10506,1.10936,1.11377,1.11828,1.1229,1.12762,1.13243,1.13733,1.14233,1.1474,1.15255,1.15776,1.16304,1.16838,1.17375,1.17917,1.18461,1.19007,1.19554,1.201,1.20645,1.21187,1.21725,1.22258,1.22785,1.23304,1.23813,1.24312,1.24798,1.25272,1.2573,1.26172,1.26596,1.27,1.27384,1.27746,1.28084,1.28396,1.28683,1.28942,1.29172,1.29372,1.29541,1.29679,1.29783,1.29853,1.29889,1.2989,1.29855,1.29785,1.29678,1.29535,1.29356,1.29142,1.28892,1.28606,1.28287,1.27934,1.27549,1.27133,1.26687,1.26212,1.25711,1.25185,1.24635,1.24065,1.23475,1.22869,1.22248,1.21614,1.20971,1.2032,1.19665,1.19006,1.18347,1.1769,1.17037,1.1639,1.15751,1.15122,1.14505,1.13901,1.13311,1.12738,1.12181,1.11642,1.11122,1.1062,1.10138,1.09675,1.09231,1.08807,1.08402,1.08015,1.07646,1.07294,1.06959,1.06639,1.06333,1.06041,1.05761,1.05492,1.05233,1.04982,1.04738,1.04499,1.04264,1.04032,1.038,1.03567,1.03332,1.03092,1.02845,1.0259,1.02324,1.02046,1.01753,1.01442,1.01111,1.00758,1.00379,0.999718,0.99533,0.990593,0.985471,0.979927,0.973921,0.967414,0.960361,0.952718,0.944438,0.935473,0.925774,0.91529,0.903972,0.891767,0.878627,0.864505,0.849356,0.833137,0.815815,0.797361,0.777754,0.756985,0.735057,0.711988,0.687812,0.662582,0.636371,0.609277,0.581415,0.552931,0.523989,0.494773,0.465489,0.436354,0.407591,0.379425,0.352068,0.325716,0.300537},
{1.0158,1.01668,1.01762,1.0186,1.01962,1.0207,1.02184,1.02303,1.02427,1.02558,1.02696,1.0284,1.0299,1.03148,1.03314,1.03487,1.03668,1.03857,1.04055,1.04261,1.04477,1.04702,1.04937,1.05181,1.05436,1.05701,1.05977,1.06263,1.06561,1.0687,1.0719,1.07522,1.07866,1.08221,1.08589,1.08968,1.0936,1.09763,1.10178,1.10605,1.11044,1.11494,1.11955,1.12427,1.1291,1.13403,1.13907,1.14419,1.1494,1.1547,1.16007,1.16551,1.17102,1.17657,1.18217,1.18781,1.19347,1.19915,1.20483,1.2105,1.21616,1.22178,1.22736,1.23287,1.23832,1.24368,1.24894,1.25409,1.2591,1.26397,1.26868,1.27321,1.27756,1.2817,1.28562,1.2893,1.29273,1.29591,1.2988,1.30141,1.30371,1.30571,1.30737,1.30871,1.3097,1.31035,1.31064,1.31057,1.31013,1.30933,1.30815,1.30661,1.3047,1.30243,1.29981,1.29683,1.2935,1.28985,1.28587,1.28159,1.27701,1.27216,1.26705,1.2617,1.25612,1.25035,1.2444,1.2383,1.23207,1.22573,1.2193,1.21282,1.20631,1.19978,1.19327,1.18679,1.18037,1.17402,1.16777,1.16163,1.15561,1.14974,1.14403,1.13847,1.1331,1.1279,1.12289,1.11807,1.11344,1.109,1.10475,1.10068,1.0968,1.0931,1.08956,1.08618,1.08296,1.07988,1.07692,1.07409,1.07136,1.06873,1.06617,1.06367,1.06123,1.05882,1.05643,1.05403,1.05162,1.04918,1.04668,1.04411,1.04144,1.03866,1.03574,1.03265,1.02939,1.02591,1.02218,1.01819,1.0139,1.00927,1.00428,0.998879,0.993037,0.986713,0.979862,0.972443,0.964408,0.95571,0.9463,0.936129,0.925146,0.913299,0.900539,0.886818,0.872087,0.856304,0.83943,0.821432,0.802284,0.781971,0.760487,0.737842,0.714058,0.689177,0.66326,0.636389,0.608668,0.580223,0.551208,0.521794,0.492174,0.462559,0.433171,0.404233,0.375968,0.348587,0.322276,0.297194},
{1.01578,1.01667,1.0176,1.01858,1.01961,1.0207,1.02183,1.02303,1.02428,1.02559,1.02697,1.02841,1.02993,1.03152,1.03318,1.03492,1.03674,1.03864,1.04063,1.04271,1.04489,1.04715,1.04952,1.05199,1.05456,1.05724,1.06002,1.06292,1.06593,1.06906,1.0723,1.07566,1.07915,1.08275,1.08648,1.09034,1.09432,1.09842,1.10264,1.10699,1.11146,1.11606,1.12077,1.1256,1.13054,1.13559,1.14074,1.146,1.15135,1.15679,1.16232,1.16792,1.1736,1.17933,1.18512,1.19095,1.19681,1.2027,1.2086,1.2145,1.22038,1.22625,1.23207,1.23785,1.24355,1.24918,1.25472,1.26015,1.26545,1.27061,1.27562,1.28045,1.2851,1.28955,1.29378,1.29777,1.30152,1.30501,1.30822,1.31114,1.31375,1.31606,1.31803,1.31967,1.32097,1.32191,1.32249,1.3227,1.32255,1.32202,1.32111,1.31983,1.31817,1.31614,1.31375,1.31099,1.30789,1.30444,1.30066,1.29657,1.29217,1.28748,1.28253,1.27733,1.2719,1.26626,1.26043,1.25445,1.24832,1.24208,1.23575,1.22935,1.22291,1.21646,1.21001,1.20359,1.19722,1.19092,1.1847,1.1786,1.17262,1.16677,1.16108,1.15555,1.15018,1.145,1.14,1.13518,1.13055,1.12611,1.12186,1.11779,1.1139,1.11019,1.10664,1.10325,1.1,1.0969,1.09392,1.09106,1.0883,1.08562,1.08303,1.08049,1.078,1.07554,1.07309,1.07063,1.06816,1.06564,1.06306,1.0604,1.05764,1.05476,1.05173,1.04853,1.04513,1.04151,1.03764,1.03348,1.02901,1.0242,1.019,1.01338,1.00731,1.00073,0.993615,0.985909,0.977569,0.968546,0.958792,0.948256,0.936888,0.924635,0.911449,0.897281,0.882085,0.865818,0.848443,0.829929,0.810252,0.789398,0.767366,0.744168,0.719832,0.694402,0.667945,0.640547,0.612318,0.58339,0.55392,0.524085,0.494083,0.464127,0.434441,0.40525,0.376777,0.349229,0.32279,0.297612},
{1.01575,1.01665,1.01758,1.01856,1.0196,1.02068,1.02182,1.02302,1.02428,1.02559,1.02698,1.02843,1.02995,1.03154,1.03321,1.03496,1.03679,1.0387,1.04071,1.0428,1.04499,1.04727,1.04966,1.05215,1.05474,1.05744,1.06025,1.06318,1.06622,1.06939,1.07267,1.07607,1.0796,1.08326,1.08704,1.09096,1.095,1.09917,1.10347,1.10789,1.11245,1.11713,1.12194,1.12687,1.13192,1.13708,1.14236,1.14775,1.15324,1.15882,1.1645,1.17027,1.17611,1.18202,1.18799,1.19402,1.20008,1.20618,1.21229,1.21842,1.22454,1.23065,1.23672,1.24275,1.24873,1.25463,1.26044,1.26616,1.27175,1.27721,1.28251,1.28766,1.29262,1.29738,1.30192,1.30624,1.3103,1.31411,1.31764,1.32089,1.32382,1.32645,1.32874,1.3307,1.3323,1.33355,1.33443,1.33494,1.33507,1.33483,1.3342,1.33318,1.33179,1.33001,1.32786,1.32534,1.32246,1.31923,1.31566,1.31176,1.30755,1.30304,1.29826,1.29322,1.28793,1.28243,1.27674,1.27087,1.26486,1.25873,1.25249,1.24618,1.23983,1.23345,1.22706,1.2207,1.21439,1.20813,1.20196,1.1959,1.18995,1.18413,1.17846,1.17295,1.1676,1.16243,1.15743,1.15262,1.14799,1.14355,1.13929,1.13521,1.13131,1.12758,1.12401,1.12059,1.11732,1.11419,1.11117,1.10827,1.10547,1.10275,1.1001,1.09751,1.09496,1.09242,1.0899,1.08736,1.0848,1.08218,1.0795,1.07672,1.07384,1.07082,1.06764,1.06428,1.06071,1.0569,1.05282,1.04845,1.04375,1.03868,1.0332,1.02729,1.0209,1.01399,1.00651,0.998414,0.989661,0.9802,0.969981,0.958953,0.947064,0.934264,0.920505,0.905736,0.889915,0.873,0.854956,0.835754,0.815375,0.793809,0.77106,0.747145,0.722097,0.69597,0.668837,0.640792,0.611954,0.582462,0.552483,0.522201,0.491819,0.461556,0.431638,0.402291,0.373736,0.346173,0.319779,0.294696},
{1.01573,1.01662,1.01756,1.01854,1.01958,1.02066,1.02181,1.02301,1.02427,1.02559,1.02697,1.02843,1.02996,1.03156,1.03323,1.03499,1.03683,1.03875,1.04077,1.04287,1.04508,1.04738,1.04978,1.05229,1.0549,1.05763,1.06047,1.06342,1.06649,1.06969,1.07301,1.07646,1.08003,1.08374,1.08757,1.09154,1.09564,1.09988,1.10425,1.10875,1.11339,1.11816,1.12306,1.12809,1.13324,1.13852,1.14392,1.14944,1.15506,1.16079,1.16662,1.17255,1.17856,1.18464,1.1908,1.19702,1.20328,1.20959,1.21593,1.22228,1.22864,1.23498,1.24131,1.2476,1.25384,1.26002,1.26612,1.27212,1.278,1.28376,1.28938,1.29483,1.30011,1.30519,1.31006,1.3147,1.31909,1.32323,1.32709,1.33067,1.33394,1.33689,1.33951,1.34179,1.34372,1.34528,1.34648,1.34729,1.34773,1.34778,1.34743,1.3467,1.34558,1.34407,1.34217,1.3399,1.33726,1.33425,1.3309,1.32721,1.3232,1.31888,1.31427,1.30939,1.30427,1.29892,1.29337,1.28763,1.28174,1.27571,1.26958,1.26337,1.2571,1.2508,1.24449,1.2382,1.23194,1.22574,1.21962,1.2136,1.20769,1.2019,1.19626,1.19077,1.18544,1.18028,1.1753,1.1705,1.16587,1.16143,1.15717,1.15309,1.14918,1.14543,1.14185,1.13841,1.13512,1.13196,1.12892,1.12599,1.12315,1.1204,1.1177,1.11506,1.11246,1.10987,1.10728,1.10468,1.10203,1.09934,1.09657,1.09369,1.09071,1.08757,1.08427,1.08078,1.07707,1.0731,1.06886,1.06431,1.05941,1.05413,1.04844,1.04229,1.03564,1.02846,1.02068,1.01228,1.0032,0.993387,0.982797,0.971377,0.959076,0.945844,0.93163,0.916389,0.900075,0.88265,0.86408,0.844337,0.823406,0.801278,0.777962,0.753477,0.727862,0.701174,0.673491,0.644914,0.615564,0.585589,0.555157,0.524459,0.493703,0.463107,0.432903,0.403314,0.37456,0.34684,0.320325,0.295152},
{1.0157,1.01659,1.01753,1.01852,1.01955,1.02064,1.02179,1.02299,1.02425,1.02558,1.02697,1.02843,1.02996,1.03156,1.03325,1.03501,1.03686,1.03879,1.04082,1.04294,1.04515,1.04747,1.04988,1.05241,1.05504,1.05779,1.06065,1.06364,1.06674,1.06997,1.07332,1.07681,1.08043,1.08418,1.08806,1.09209,1.09625,1.10055,1.10498,1.10956,1.11428,1.11913,1.12413,1.12925,1.13452,1.13991,1.14543,1.15107,1.15683,1.1627,1.16868,1.17476,1.18094,1.1872,1.19354,1.19995,1.20642,1.21293,1.21949,1.22607,1.23266,1.23925,1.24583,1.25238,1.2589,1.26535,1.27173,1.27802,1.28421,1.29027,1.2962,1.30197,1.30756,1.31297,1.31817,1.32314,1.32788,1.33235,1.33655,1.34046,1.34407,1.34736,1.35032,1.35293,1.35519,1.35708,1.3586,1.35974,1.36049,1.36084,1.3608,1.36036,1.35952,1.35828,1.35665,1.35464,1.35224,1.34948,1.34635,1.34288,1.33907,1.33495,1.33053,1.32584,1.32088,1.31568,1.31028,1.30468,1.29892,1.29301,1.28699,1.28088,1.27471,1.26849,1.26226,1.25604,1.24984,1.2437,1.23763,1.23165,1.22578,1.22003,1.21442,1.20895,1.20364,1.1985,1.19353,1.18873,1.18411,1.17967,1.1754,1.17131,1.16739,1.16363,1.16003,1.15658,1.15326,1.15007,1.147,1.14403,1.14115,1.13834,1.1356,1.1329,1.13023,1.12758,1.12491,1.12223,1.1195,1.1167,1.11383,1.11084,1.10773,1.10446,1.10102,1.09737,1.09348,1.08933,1.0849,1.08013,1.075,1.06948,1.06352,1.05709,1.05013,1.04262,1.0345,1.02573,1.01626,1.00603,0.995001,0.983117,0.970328,0.956583,0.941834,0.926033,0.90914,0.891115,0.871927,0.851552,0.829976,0.807196,0.783224,0.758084,0.731821,0.704498,0.676199,0.647031,0.617124,0.58663,0.555725,0.524606,0.493483,0.462582,0.432132,0.402357,0.373476,0.345681,0.319138,0.293973},
{1.01567,1.01656,1.0175,1.01849,1.01952,1.02061,1.02176,1.02296,1.02423,1.02556,1.02695,1.02841,1.02995,1.03156,1.03325,1.03502,1.03687,1.03882,1.04085,1.04298,1.04521,1.04754,1.04997,1.05251,1.05517,1.05794,1.06082,1.06383,1.06696,1.07022,1.07361,1.07713,1.08079,1.08459,1.08852,1.0926,1.09681,1.10117,1.10568,1.11033,1.11513,1.12006,1.12515,1.13037,1.13573,1.14124,1.14687,1.15264,1.15853,1.16454,1.17067,1.17691,1.18325,1.18968,1.19621,1.20281,1.20948,1.2162,1.22297,1.22978,1.23661,1.24345,1.25028,1.2571,1.26388,1.27061,1.27728,1.28387,1.29036,1.29673,1.30297,1.30906,1.31499,1.32072,1.32626,1.33157,1.33665,1.34147,1.34602,1.35028,1.35423,1.35787,1.36117,1.36413,1.36673,1.36896,1.37082,1.37228,1.37335,1.37402,1.37429,1.37415,1.37361,1.37266,1.37131,1.36957,1.36743,1.36491,1.36203,1.35879,1.3552,1.35129,1.34707,1.34255,1.33777,1.33275,1.32749,1.32204,1.31642,1.31064,1.30474,1.29873,1.29266,1.28653,1.28039,1.27424,1.26812,1.26204,1.25602,1.25009,1.24426,1.23855,1.23297,1.22753,1.22225,1.21712,1.21216,1.20738,1.20276,1.19833,1.19406,1.18996,1.18603,1.18226,1.17864,1.17517,1.17182,1.16861,1.1655,1.1625,1.15958,1.15673,1.15393,1.15118,1.14845,1.14573,1.14299,1.14022,1.13741,1.13452,1.13154,1.12844,1.12521,1.12181,1.11822,1.11442,1.11037,1.10605,1.10142,1.09644,1.0911,1.08533,1.07912,1.07241,1.06517,1.05735,1.0489,1.03977,1.02993,1.0193,1.00786,0.995533,0.982281,0.968051,0.952796,0.936469,0.919029,0.90044,0.880672,0.859703,0.837523,0.814132,0.789545,0.763791,0.73692,0.709,0.680121,0.650395,0.619957,0.588968,0.557607,0.526074,0.494586,0.46337,0.432655,0.402668,0.373622,0.345707,0.319082,0.293866},
{1.01563,1.01652,1.01746,1.01845,1.01949,1.02058,1.02173,1.02293,1.0242,1.02553,1.02693,1.02839,1.02993,1.03155,1.03324,1.03502,1.03688,1.03883,1.04088,1.04302,1.04525,1.0476,1.05004,1.0526,1.05527,1.05806,1.06097,1.064,1.06716,1.07045,1.07387,1.07743,1.08113,1.08496,1.08895,1.09307,1.09734,1.10176,1.10634,1.11106,1.11593,1.12095,1.12612,1.13143,1.1369,1.14251,1.14826,1.15414,1.16017,1.16632,1.17259,1.17899,1.18549,1.1921,1.1988,1.20559,1.21246,1.21939,1.22639,1.23342,1.24049,1.24757,1.25466,1.26174,1.26879,1.27581,1.28277,1.28965,1.29645,1.30313,1.30969,1.31611,1.32237,1.32844,1.33432,1.33998,1.3454,1.35058,1.35548,1.3601,1.36441,1.3684,1.37207,1.37538,1.37833,1.38091,1.38311,1.38492,1.38632,1.38732,1.38791,1.38809,1.38785,1.3872,1.38614,1.38468,1.38281,1.38056,1.37792,1.37492,1.37157,1.36787,1.36386,1.35954,1.35495,1.3501,1.34501,1.33971,1.33423,1.32859,1.32281,1.31693,1.31096,1.30493,1.29887,1.29281,1.28676,1.28075,1.27479,1.26891,1.26313,1.25746,1.25192,1.24651,1.24125,1.23615,1.2312,1.22643,1.22182,1.21739,1.21312,1.20902,1.20508,1.20129,1.19766,1.19416,1.1908,1.18755,1.18441,1.18137,1.1784,1.17551,1.17266,1.16985,1.16706,1.16426,1.16145,1.1586,1.1557,1.15271,1.14962,1.14641,1.14305,1.13952,1.13578,1.13182,1.1276,1.12309,1.11826,1.11308,1.1075,1.10149,1.09501,1.08803,1.08048,1.07234,1.06355,1.05407,1.04383,1.03281,1.02093,1.00816,0.994437,0.979714,0.963943,0.947082,0.929088,0.909927,0.889572,0.868005,0.845215,0.821208,0.796003,0.769633,0.742153,0.713635,0.684176,0.653893,0.622927,0.591444,0.559628,0.527685,0.495835,0.464306,0.433329,0.403129,0.373918,0.34588,0.319169,0.293898},
{1.01559,1.01648,1.01742,1.01841,1.01945,1.02054,1.02169,1.0229,1.02417,1.0255,1.0269,1.02837,1.02991,1.03153,1.03323,1.03501,1.03688,1.03884,1.04089,1.04304,1.04529,1.04764,1.0501,1.05267,1.05536,1.05817,1.0611,1.06415,1.06734,1.07065,1.07411,1.0777,1.08143,1.08531,1.08934,1.09351,1.09784,1.10231,1.10695,1.11174,1.11668,1.12178,1.12703,1.13244,1.13801,1.14372,1.14958,1.15559,1.16174,1.16803,1.17445,1.18099,1.18766,1.19444,1.20132,1.2083,1.21537,1.22251,1.22972,1.23698,1.24429,1.25162,1.25896,1.26631,1.27364,1.28093,1.28818,1.29537,1.30247,1.30947,1.31636,1.32311,1.3297,1.33612,1.34234,1.34836,1.35414,1.35967,1.36494,1.36992,1.3746,1.37896,1.38299,1.38667,1.38998,1.39292,1.39548,1.39763,1.39939,1.40073,1.40165,1.40216,1.40224,1.40191,1.40115,1.39998,1.39839,1.39641,1.39404,1.39129,1.38817,1.38471,1.38092,1.37681,1.37241,1.36775,1.36283,1.3577,1.35237,1.34687,1.34123,1.33546,1.32961,1.32369,1.31773,1.31175,1.30578,1.29984,1.29395,1.28813,1.2824,1.27678,1.27127,1.2659,1.26066,1.25558,1.25066,1.2459,1.2413,1.23687,1.2326,1.2285,1.22455,1.22075,1.2171,1.21359,1.2102,1.20692,1.20375,1.20067,1.19766,1.19472,1.19182,1.18895,1.1861,1.18323,1.18034,1.17741,1.17441,1.17133,1.16813,1.1648,1.16132,1.15765,1.15377,1.14965,1.14526,1.14056,1.13553,1.13014,1.12433,1.11808,1.11134,1.10408,1.09624,1.08778,1.07865,1.06881,1.0582,1.04678,1.03448,1.02127,1.00708,0.991879,0.975606,0.958223,0.939689,0.919973,0.899048,0.876898,0.853517,0.828913,0.803109,0.776141,0.74807,0.718972,0.688949,0.658124,0.626642,0.594674,0.56241,0.530058,0.497842,0.465992,0.434739,0.404309,0.374908,0.34672,0.319892,0.29453},
{1.01555,1.01644,1.01738,1.01837,1.01941,1.0205,1.02165,1.02285,1.02412,1.02546,1.02686,1.02833,1.02988,1.0315,1.0332,1.03499,1.03686,1.03883,1.04089,1.04304,1.0453,1.04767,1.05014,1.05273,1.05543,1.05825,1.0612,1.06428,1.06749,1.07083,1.07431,1.07794,1.08171,1.08562,1.08969,1.09391,1.09829,1.10282,1.10752,1.11237,1.11739,1.12256,1.1279,1.1334,1.13906,1.14488,1.15085,1.15698,1.16325,1.16967,1.17623,1.18293,1.18976,1.19671,1.20377,1.21093,1.2182,1.22555,1.23297,1.24046,1.248,1.25558,1.26318,1.27079,1.2784,1.28598,1.29352,1.30101,1.30843,1.31575,1.32296,1.33005,1.33698,1.34375,1.35033,1.3567,1.36284,1.36875,1.37438,1.37974,1.38479,1.38953,1.39393,1.39798,1.40167,1.40498,1.4079,1.41042,1.41254,1.41423,1.4155,1.41635,1.41676,1.41675,1.4163,1.41544,1.41415,1.41245,1.41035,1.40787,1.405,1.40178,1.39822,1.39433,1.39014,1.38566,1.38094,1.37598,1.37081,1.36546,1.35995,1.35432,1.34859,1.34278,1.33692,1.33103,1.32515,1.31928,1.31346,1.3077,1.30203,1.29645,1.29098,1.28564,1.28044,1.27538,1.27048,1.26573,1.26114,1.25671,1.25244,1.24833,1.24437,1.24056,1.23689,1.23335,1.22992,1.22661,1.2234,1.22027,1.21722,1.21422,1.21125,1.20831,1.20538,1.20243,1.19945,1.19642,1.19331,1.1901,1.18677,1.18331,1.17967,1.17583,1.17177,1.16746,1.16286,1.15794,1.15267,1.14702,1.14093,1.13439,1.12733,1.11973,1.11153,1.10268,1.09315,1.08287,1.07181,1.0599,1.0471,1.03335,1.01861,1.00282,0.985941,0.967929,0.948747,0.928364,0.906757,0.883914,0.859832,0.834523,0.808015,0.780352,0.751598,0.721839,0.691181,0.659754,0.627712,0.595232,0.562509,0.529758,0.497204,0.465081,0.433619,0.403042,0.373553,0.345325,0.318501,0.293175},
{1.0155,1.01639,1.01733,1.01832,1.01936,1.02045,1.0216,1.02281,1.02408,1.02541,1.02682,1.02829,1.02984,1.03146,1.03317,1.03496,1.03684,1.03881,1.04087,1.04304,1.04531,1.04768,1.05016,1.05276,1.05548,1.05832,1.06129,1.06438,1.06761,1.07098,1.07449,1.07815,1.08195,1.0859,1.09001,1.09428,1.09871,1.10329,1.10805,1.11296,1.11805,1.1233,1.12872,1.1343,1.14006,1.14597,1.15205,1.1583,1.1647,1.17125,1.17795,1.1848,1.19178,1.1989,1.20613,1.21349,1.22095,1.2285,1.23615,1.24386,1.25164,1.25946,1.26732,1.2752,1.28308,1.29095,1.29879,1.30658,1.31431,1.32196,1.3295,1.33692,1.34421,1.35133,1.35827,1.365,1.37152,1.3778,1.38381,1.38955,1.39499,1.40011,1.40489,1.40933,1.4134,1.4171,1.4204,1.42329,1.42577,1.42783,1.42946,1.43066,1.43142,1.43174,1.43163,1.43108,1.4301,1.4287,1.42689,1.42468,1.42208,1.41911,1.41578,1.41213,1.40815,1.40389,1.39935,1.39458,1.38958,1.38439,1.37904,1.37354,1.36794,1.36225,1.3565,1.35071,1.34492,1.33913,1.33339,1.3277,1.32208,1.31655,1.31114,1.30584,1.30067,1.29564,1.29075,1.28602,1.28144,1.27702,1.27275,1.26864,1.26467,1.26085,1.25716,1.25359,1.25015,1.24681,1.24356,1.24039,1.23728,1.23423,1.23121,1.2282,1.2252,1.22217,1.2191,1.21597,1.21276,1.20945,1.206,1.2024,1.19862,1.19463,1.19041,1.18592,1.18113,1.17601,1.17052,1.16463,1.15829,1.15148,1.14414,1.13623,1.1277,1.11851,1.10861,1.09795,1.08648,1.07414,1.06088,1.04666,1.03142,1.01512,0.997699,0.979131,0.959376,0.938404,0.916195,0.892739,0.868037,0.842105,0.814973,0.786691,0.757327,0.726972,0.695738,0.663761,0.631198,0.598233,0.565064,0.53191,0.498999,0.466566,0.434842,0.404049,0.374385,0.346022,0.319094,0.293689},
{1.01545,1.01634,1.01728,1.01827,1.0193,1.0204,1.02155,1.02275,1.02402,1.02536,1.02676,1.02824,1.02979,1.03142,1.03313,1.03492,1.0368,1.03878,1.04085,1.04302,1.04529,1.04768,1.05017,1.05278,1.05551,1.05837,1.06135,1.06447,1.06772,1.07111,1.07465,1.07833,1.08216,1.08615,1.0903,1.09461,1.09908,1.10372,1.10853,1.11351,1.11866,1.12399,1.12948,1.13515,1.141,1.14701,1.1532,1.15955,1.16607,1.17276,1.1796,1.18659,1.19373,1.20101,1.20842,1.21596,1.22362,1.23138,1.23923,1.24717,1.25519,1.26326,1.27137,1.27952,1.28768,1.29583,1.30397,1.31207,1.32012,1.32809,1.33597,1.34373,1.35137,1.35885,1.36615,1.37326,1.38015,1.38681,1.39321,1.39934,1.40517,1.41068,1.41586,1.4207,1.42516,1.42925,1.43294,1.43622,1.43908,1.44152,1.44352,1.44508,1.4462,1.44687,1.44709,1.44688,1.44622,1.44513,1.44362,1.44169,1.43937,1.43667,1.4336,1.43018,1.42643,1.42238,1.41806,1.41347,1.40865,1.40363,1.39844,1.39309,1.38762,1.38206,1.37642,1.37074,1.36504,1.35935,1.35368,1.34806,1.34251,1.33704,1.33167,1.32641,1.32128,1.31627,1.31141,1.3067,1.30213,1.29772,1.29345,1.28933,1.28535,1.28151,1.2778,1.27421,1.27073,1.26735,1.26406,1.26085,1.25769,1.25457,1.25148,1.2484,1.24531,1.24219,1.23903,1.23579,1.23246,1.22902,1.22543,1.22168,1.21774,1.21358,1.20917,1.20447,1.19946,1.19411,1.18837,1.18221,1.17559,1.16846,1.16079,1.15253,1.14363,1.13405,1.12373,1.11262,1.10068,1.08785,1.07408,1.05932,1.04351,1.02662,1.00859,0.989394,0.96899,0.947354,0.924467,0.900324,0.874928,0.848301,0.820478,0.791514,0.761483,0.730481,0.698629,0.666067,0.63296,0.599497,0.565882,0.532337,0.499094,0.46639,0.434453,0.403502,0.373733,0.34531,0.318357,0.292956},
{1.01539,1.01628,1.01722,1.01821,1.01925,1.02034,1.02149,1.02269,1.02397,1.0253,1.02671,1.02818,1.02973,1.03136,1.03307,1.03487,1.03676,1.03873,1.04081,1.04299,1.04527,1.04766,1.05016,1.05278,1.05553,1.0584,1.06139,1.06453,1.0678,1.07121,1.07477,1.07848,1.08235,1.08637,1.09056,1.09491,1.09943,1.10411,1.10898,1.11401,1.11923,1.12462,1.13019,1.13595,1.14188,1.14799,1.15428,1.16075,1.16738,1.17419,1.18117,1.18831,1.1956,1.20304,1.21063,1.21835,1.2262,1.23416,1.24223,1.2504,1.25865,1.26696,1.27533,1.28375,1.29218,1.30063,1.30907,1.31748,1.32584,1.33414,1.34236,1.35047,1.35846,1.3663,1.37398,1.38147,1.38874,1.39579,1.40259,1.40911,1.41534,1.42126,1.42684,1.43208,1.43695,1.44144,1.44553,1.44921,1.45247,1.4553,1.45768,1.45962,1.4611,1.46214,1.46272,1.46284,1.46252,1.46175,1.46055,1.45893,1.4569,1.45447,1.45166,1.4485,1.445,1.44117,1.43706,1.43268,1.42805,1.42321,1.41819,1.41299,1.40767,1.40224,1.39673,1.39116,1.38557,1.37997,1.37438,1.36884,1.36336,1.35795,1.35263,1.34742,1.34232,1.33735,1.33252,1.32782,1.32327,1.31886,1.3146,1.31048,1.30649,1.30264,1.29891,1.2953,1.29179,1.28837,1.28504,1.28177,1.27856,1.27538,1.27223,1.26907,1.2659,1.2627,1.25943,1.25609,1.25264,1.24907,1.24535,1.24145,1.23735,1.23302,1.22842,1.22353,1.21831,1.21272,1.20673,1.20031,1.19341,1.18598,1.17799,1.16939,1.16013,1.15016,1.13944,1.12791,1.11552,1.10221,1.08794,1.07266,1.05632,1.03886,1.02025,1.00046,0.979434,0.957165,0.933634,0.908837,0.882783,0.855496,0.827016,0.797403,0.766737,0.735118,0.702673,0.669549,0.635915,0.601965,0.567909,0.533971,0.500386,0.46739,0.435213,0.404071,0.374155,0.345622,0.318592,0.293138},
{1.01533,1.01622,1.01716,1.01815,1.01918,1.02027,1.02142,1.02263,1.0239,1.02524,1.02664,1.02812,1.02967,1.0313,1.03301,1.03481,1.0367,1.03868,1.04076,1.04294,1.04523,1.04763,1.05014,1.05277,1.05552,1.0584,1.06142,1.06456,1.06785,1.07129,1.07487,1.07861,1.0825,1.08656,1.09078,1.09517,1.09973,1.10446,1.10938,1.11447,1.11975,1.12521,1.13085,1.13669,1.1427,1.14891,1.1553,1.16187,1.16863,1.17556,1.18267,1.18995,1.19739,1.205,1.21275,1.22066,1.2287,1.23686,1.24514,1.25353,1.26201,1.27058,1.2792,1.28788,1.2966,1.30534,1.31407,1.3228,1.33148,1.34011,1.34867,1.35714,1.36548,1.37369,1.38174,1.38961,1.39728,1.40472,1.41192,1.41885,1.42549,1.43182,1.43782,1.44347,1.44876,1.45366,1.45816,1.46225,1.46592,1.46914,1.47193,1.47425,1.47612,1.47753,1.47848,1.47896,1.47898,1.47855,1.47768,1.47637,1.47464,1.4725,1.46998,1.46708,1.46382,1.46024,1.45636,1.45219,1.44777,1.44311,1.43826,1.43324,1.42807,1.42278,1.4174,1.41195,1.40647,1.40097,1.39547,1.39001,1.3846,1.37926,1.374,1.36883,1.36378,1.35885,1.35404,1.34937,1.34483,1.34043,1.33617,1.33205,1.32805,1.32418,1.32043,1.31679,1.31325,1.3098,1.30642,1.30311,1.29984,1.29659,1.29337,1.29013,1.28687,1.28357,1.2802,1.27674,1.27317,1.26947,1.2656,1.26154,1.25727,1.25275,1.24796,1.24285,1.2374,1.23157,1.22532,1.21861,1.21141,1.20367,1.19534,1.18637,1.17673,1.16636,1.15521,1.14322,1.13035,1.11655,1.10176,1.08593,1.06902,1.05097,1.03175,1.01132,0.989655,0.966726,0.942523,0.917046,0.890308,0.862338,0.833179,0.802897,0.771578,0.739329,0.70628,0.672586,0.638421,0.603984,0.56949,0.535166,0.50125,0.467978,0.435578,0.404263,0.37422,0.345599,0.318513,0.293027},
{1.01527,1.01616,1.0171,1.01808,1.01912,1.02021,1.02135,1.02256,1.02383,1.02516,1.02657,1.02804,1.0296,1.03123,1.03294,1.03474,1.03663,1.03862,1.0407,1.04288,1.04518,1.04758,1.0501,1.05274,1.0555,1.05839,1.06142,1.06458,1.06789,1.07134,1.07494,1.0787,1.08263,1.08671,1.09096,1.09539,1.09999,1.10477,1.10973,1.11488,1.12022,1.12574,1.13146,1.13737,1.14347,1.14977,1.15625,1.16293,1.1698,1.17686,1.18409,1.19151,1.19911,1.20687,1.21479,1.22288,1.2311,1.23947,1.24796,1.25657,1.26529,1.27409,1.28298,1.29193,1.30092,1.30995,1.31899,1.32802,1.33703,1.346,1.3549,1.36372,1.37243,1.38101,1.38944,1.3977,1.40576,1.41361,1.42121,1.42855,1.43561,1.44236,1.44878,1.45486,1.46057,1.4659,1.47083,1.47534,1.47942,1.48306,1.48625,1.48899,1.49125,1.49305,1.49437,1.49523,1.49561,1.49553,1.495,1.49402,1.49261,1.49077,1.48853,1.48591,1.48293,1.4796,1.47595,1.47201,1.4678,1.46334,1.45868,1.45383,1.44882,1.44368,1.43844,1.43312,1.42776,1.42236,1.41697,1.4116,1.40626,1.40099,1.39579,1.39068,1.38568,1.38078,1.37601,1.37136,1.36684,1.36245,1.35819,1.35407,1.35007,1.34619,1.34242,1.33875,1.33518,1.33169,1.32826,1.3249,1.32157,1.31826,1.31496,1.31164,1.3083,1.30489,1.30142,1.29784,1.29415,1.2903,1.28629,1.28207,1.27762,1.27292,1.26792,1.2626,1.25692,1.25084,1.24433,1.23734,1.22983,1.22177,1.21309,1.20377,1.19374,1.18296,1.17138,1.15895,1.14561,1.13131,1.116,1.09963,1.08215,1.06352,1.0437,1.02265,1.00034,0.976762,0.951898,0.925754,0.898344,0.869703,0.839879,0.808942,0.776983,0.744114,0.710473,0.676217,0.641528,0.60661,0.571679,0.536968,0.502714,0.469156,0.43652,0.405016,0.374824,0.346092,0.318922,0.293375},
{1.01521,1.01609,1.01703,1.01801,1.01904,1.02013,1.02128,1.02248,1.02375,1.02509,1.02649,1.02796,1.02951,1.03115,1.03286,1.03466,1.03655,1.03854,1.04062,1.04281,1.04511,1.04752,1.05004,1.05269,1.05546,1.05836,1.0614,1.06458,1.0679,1.07137,1.07499,1.07877,1.08272,1.08683,1.09112,1.09558,1.10022,1.10504,1.11005,1.11525,1.12064,1.12623,1.13201,1.138,1.14418,1.15056,1.15714,1.16392,1.1709,1.17808,1.18544,1.193,1.20074,1.20866,1.21675,1.225,1.23342,1.24198,1.25069,1.25952,1.26846,1.27751,1.28665,1.29587,1.30514,1.31446,1.3238,1.33314,1.34248,1.35178,1.36103,1.3702,1.37928,1.38824,1.39706,1.40571,1.41417,1.42243,1.43045,1.43821,1.44569,1.45287,1.45973,1.46624,1.47239,1.47815,1.48351,1.48846,1.49297,1.49704,1.50065,1.5038,1.50647,1.50867,1.51039,1.51163,1.51239,1.51267,1.51249,1.51185,1.51077,1.50925,1.50732,1.50499,1.50228,1.49921,1.49581,1.49211,1.48812,1.48388,1.47941,1.47474,1.46991,1.46493,1.45983,1.45465,1.44941,1.44413,1.43884,1.43356,1.42831,1.42311,1.41797,1.41292,1.40796,1.40311,1.39836,1.39374,1.38924,1.38486,1.38061,1.37648,1.37247,1.36857,1.36477,1.36108,1.35747,1.35393,1.35045,1.34703,1.34363,1.34025,1.33686,1.33345,1.33,1.32649,1.32289,1.31918,1.31534,1.31134,1.30715,1.30275,1.29811,1.29319,1.28796,1.28239,1.27645,1.27009,1.26327,1.25596,1.24811,1.23968,1.23062,1.22089,1.21042,1.19919,1.18712,1.17417,1.16029,1.14543,1.12953,1.11255,1.09444,1.07515,1.05465,1.0329,1.00989,0.985582,0.959983,0.933097,0.904945,0.875566,0.845013,0.813364,0.780714,0.747184,0.712916,0.678076,0.642852,0.607451,0.572095,0.537021,0.502468,0.468672,0.435858,0.404232,0.373968,0.345203,0.318034,0.292508},
{1.01514,1.01602,1.01695,1.01794,1.01897,1.02005,1.0212,1.0224,1.02367,1.025,1.0264,1.02788,1.02943,1.03106,1.03277,1.03457,1.03646,1.03845,1.04054,1.04273,1.04503,1.04744,1.04997,1.05262,1.0554,1.05831,1.06136,1.06455,1.06788,1.07137,1.07501,1.07881,1.08278,1.08692,1.09123,1.09573,1.1004,1.10527,1.11032,1.11557,1.12102,1.12666,1.13251,1.13857,1.14483,1.1513,1.15797,1.16485,1.17194,1.17922,1.18672,1.1944,1.20229,1.21036,1.21861,1.22704,1.23564,1.2444,1.25331,1.26236,1.27154,1.28083,1.29022,1.2997,1.30926,1.31886,1.32851,1.33817,1.34783,1.35747,1.36707,1.3766,1.38605,1.39539,1.4046,1.41365,1.42252,1.43119,1.43963,1.44782,1.45574,1.46335,1.47065,1.47761,1.4842,1.49041,1.49622,1.50161,1.50657,1.51107,1.51512,1.5187,1.5218,1.52441,1.52654,1.52818,1.52932,1.52999,1.53018,1.52989,1.52915,1.52797,1.52635,1.52432,1.52191,1.51912,1.51598,1.51253,1.50878,1.50476,1.5005,1.49602,1.49137,1.48656,1.48162,1.47658,1.47147,1.46632,1.46114,1.45596,1.4508,1.44568,1.44062,1.43563,1.43072,1.42591,1.42121,1.41661,1.41213,1.40777,1.40353,1.3994,1.39538,1.39147,1.38766,1.38393,1.38029,1.37671,1.37319,1.36971,1.36625,1.36279,1.35933,1.35583,1.35229,1.34867,1.34495,1.34112,1.33714,1.33299,1.32865,1.32408,1.31925,1.31413,1.30869,1.30289,1.2967,1.29007,1.28298,1.27537,1.2672,1.25843,1.24902,1.2389,1.22804,1.21638,1.20387,1.19045,1.17608,1.16071,1.14428,1.12674,1.10805,1.08817,1.06705,1.04468,1.02102,0.996055,0.969791,0.942235,0.913411,0.883362,0.852146,0.819845,0.78656,0.752417,0.717563,0.682168,0.646426,0.610548,0.574761,0.539301,0.504411,0.470326,0.437269,0.405442,0.375016,0.346122,0.318849,0.293239},
{1.01506,1.01595,1.01688,1.01786,1.01889,1.01997,1.02111,1.02231,1.02358,1.02491,1.02631,1.02778,1.02933,1.03096,1.03267,1.03447,1.03636,1.03835,1.04044,1.04263,1.04493,1.04735,1.04988,1.05254,1.05532,1.05824,1.0613,1.0645,1.06784,1.07134,1.075,1.07882,1.08281,1.08697,1.09132,1.09584,1.10055,1.10545,1.11055,1.11584,1.12134,1.12705,1.13296,1.13908,1.14542,1.15197,1.15873,1.1657,1.17289,1.1803,1.18791,1.19573,1.20375,1.21197,1.22039,1.22899,1.23777,1.24672,1.25584,1.2651,1.27451,1.28404,1.29369,1.30343,1.31326,1.32316,1.33311,1.34308,1.35307,1.36305,1.373,1.38289,1.39272,1.40244,1.41204,1.4215,1.43078,1.43987,1.44874,1.45737,1.46572,1.47379,1.48154,1.48895,1.496,1.50266,1.50893,1.51478,1.52019,1.52515,1.52965,1.53367,1.5372,1.54025,1.54279,1.54484,1.5464,1.54746,1.54802,1.54811,1.54773,1.54689,1.5456,1.5439,1.54178,1.53928,1.53642,1.53323,1.52973,1.52594,1.5219,1.51763,1.51317,1.50854,1.50377,1.49888,1.49391,1.48889,1.48382,1.47875,1.47369,1.46865,1.46367,1.45874,1.45389,1.44913,1.44447,1.4399,1.43545,1.4311,1.42686,1.42274,1.41871,1.41479,1.41095,1.4072,1.40352,1.39989,1.39632,1.39277,1.38925,1.38571,1.38216,1.37857,1.37492,1.37119,1.36734,1.36337,1.35925,1.35494,1.35041,1.34565,1.34062,1.33528,1.32961,1.32356,1.3171,1.31019,1.30279,1.29486,1.28634,1.27721,1.2674,1.25687,1.24558,1.23346,1.22047,1.20655,1.19165,1.17572,1.15871,1.14058,1.12127,1.10075,1.07897,1.05592,1.03157,1.00591,0.978938,0.95067,0.921134,0.890377,0.858464,0.82548,0.791534,0.756755,0.721298,0.685338,0.649074,0.612722,0.576511,0.540682,0.505476,0.47113,0.437863,0.405873,0.375325,0.346344,0.31901,0.293358},
{1.01499,1.01587,1.0168,1.01777,1.0188,1.01988,1.02102,1.02222,1.02348,1.02481,1.02621,1.02768,1.02922,1.03085,1.03256,1.03436,1.03625,1.03824,1.04033,1.04252,1.04483,1.04724,1.04978,1.05244,1.05523,1.05815,1.06122,1.06442,1.06778,1.07129,1.07497,1.0788,1.08281,1.087,1.09136,1.09591,1.10066,1.10559,1.11073,1.11607,1.12162,1.12738,1.13335,1.13954,1.14594,1.15257,1.15942,1.16649,1.17378,1.18129,1.18902,1.19697,1.20513,1.2135,1.22207,1.23084,1.2398,1.24894,1.25826,1.26774,1.27737,1.28714,1.29704,1.30705,1.31716,1.32734,1.33759,1.34788,1.3582,1.36852,1.37882,1.38908,1.39928,1.40939,1.41939,1.42926,1.43896,1.44848,1.45778,1.46685,1.47566,1.48418,1.49239,1.50026,1.50777,1.51491,1.52165,1.52796,1.53384,1.53927,1.54422,1.5487,1.55269,1.55618,1.55916,1.56164,1.56361,1.56508,1.56604,1.56652,1.56651,1.56603,1.56509,1.56371,1.56192,1.55972,1.55715,1.55423,1.55099,1.54745,1.54364,1.53959,1.53533,1.53089,1.52629,1.52157,1.51675,1.51186,1.50693,1.50197,1.49701,1.49207,1.48716,1.48231,1.47752,1.47282,1.46819,1.46367,1.45924,1.45491,1.45069,1.44656,1.44253,1.43859,1.43474,1.43096,1.42724,1.42357,1.41995,1.41634,1.41275,1.40914,1.4055,1.40182,1.39806,1.39421,1.39024,1.38613,1.38186,1.37739,1.37269,1.36775,1.36251,1.35696,1.35105,1.34476,1.33803,1.33084,1.32314,1.31489,1.30604,1.29654,1.28636,1.27543,1.26371,1.25114,1.23768,1.22327,1.20786,1.1914,1.17383,1.15512,1.13521,1.11407,1.09167,1.06797,1.04295,1.01662,0.988966,0.960014,0.929794,0.898358,0.865774,0.832132,0.797546,0.762151,0.726107,0.689593,0.652813,0.615986,0.579346,0.543135,0.507594,0.472959,0.43945,0.407258,0.376544,0.347428,0.319983,0.294238},
{1.01491,1.01579,1.01671,1.01768,1.01871,1.01979,1.02092,1.02212,1.02338,1.0247,1.0261,1.02757,1.02911,1.03074,1.03245,1.03424,1.03613,1.03812,1.04021,1.0424,1.0447,1.04712,1.04966,1.05232,1.05512,1.05804,1.06111,1.06433,1.06769,1.07122,1.0749,1.07876,1.08278,1.08699,1.09138,1.09595,1.10072,1.1057,1.11087,1.11625,1.12184,1.12765,1.13368,1.13993,1.14641,1.15311,1.16004,1.1672,1.17459,1.18221,1.19006,1.19813,1.20642,1.21493,1.22366,1.23259,1.24173,1.25106,1.26057,1.27027,1.28012,1.29013,1.30028,1.31055,1.32093,1.33141,1.34196,1.35257,1.36321,1.37387,1.38453,1.39515,1.40573,1.41623,1.42663,1.43691,1.44704,1.45699,1.46673,1.47625,1.48551,1.4945,1.50317,1.51152,1.51951,1.52713,1.53434,1.54114,1.5475,1.5534,1.55883,1.56378,1.56823,1.57217,1.57561,1.57853,1.58094,1.58283,1.5842,1.58508,1.58545,1.58535,1.58477,1.58374,1.58228,1.5804,1.57813,1.5755,1.57253,1.56925,1.56568,1.56186,1.55781,1.55357,1.54916,1.54461,1.53995,1.5352,1.5304,1.52556,1.5207,1.51586,1.51104,1.50626,1.50154,1.49689,1.49231,1.48782,1.48342,1.47911,1.47489,1.47077,1.46673,1.46278,1.45889,1.45508,1.45132,1.4476,1.44392,1.44024,1.43657,1.43287,1.42914,1.42534,1.42146,1.41748,1.41337,1.40911,1.40466,1.40001,1.39512,1.38995,1.38449,1.37869,1.37252,1.36595,1.35892,1.35141,1.34337,1.33475,1.32551,1.31561,1.30499,1.29361,1.28141,1.26834,1.25435,1.23938,1.22339,1.20632,1.18813,1.16877,1.14819,1.12636,1.10324,1.07881,1.05306,1.02598,0.997572,0.967863,0.936891,0.90471,0.871395,0.837043,0.801772,0.765725,0.729067,0.691983,0.654683,0.61739,0.580342,0.543781,0.507952,0.473086,0.4394,0.407082,0.376283,0.347116,0.319646,0.293892},
{1.01482,1.0157,1.01662,1.01759,1.01861,1.01969,1.02082,1.02202,1.02327,1.02459,1.02598,1.02745,1.02899,1.03061,1.03232,1.03411,1.036,1.03798,1.04007,1.04226,1.04456,1.04698,1.04952,1.05219,1.05498,1.05791,1.06099,1.06421,1.06758,1.07112,1.07481,1.07868,1.08272,1.08694,1.09135,1.09595,1.10075,1.10575,1.11096,1.11638,1.12202,1.12788,1.13396,1.14027,1.14681,1.15359,1.1606,1.16784,1.17533,1.18305,1.191,1.1992,1.20762,1.21627,1.22515,1.23424,1.24355,1.25307,1.26278,1.27268,1.28276,1.293,1.30339,1.31393,1.32458,1.33535,1.3462,1.35712,1.36809,1.3791,1.39011,1.4011,1.41206,1.42296,1.43376,1.44446,1.45501,1.4654,1.47559,1.48556,1.49529,1.50474,1.5139,1.52273,1.5312,1.53931,1.54701,1.5543,1.56115,1.56754,1.57346,1.57889,1.58382,1.58824,1.59214,1.59552,1.59837,1.6007,1.60251,1.60379,1.60457,1.60486,1.60466,1.60399,1.60287,1.60133,1.59938,1.59705,1.59436,1.59135,1.58803,1.58445,1.58063,1.57659,1.57238,1.56801,1.56351,1.55892,1.55426,1.54954,1.54481,1.54006,1.53534,1.53064,1.52599,1.52139,1.51687,1.51241,1.50804,1.50375,1.49954,1.49542,1.49137,1.4874,1.48349,1.47964,1.47584,1.47207,1.46832,1.46457,1.46081,1.45702,1.45318,1.44927,1.44527,1.44114,1.43688,1.43245,1.42783,1.42298,1.41788,1.4125,1.40679,1.40074,1.39429,1.38742,1.38008,1.37223,1.36383,1.35484,1.3452,1.33487,1.3238,1.31195,1.29925,1.28565,1.27111,1.25558,1.23899,1.2213,1.20246,1.18242,1.16115,1.13861,1.11476,1.08959,1.06309,1.03524,1.00607,0.97559,0.943855,0.91092,0.876867,0.841799,0.80584,0.769139,0.731868,0.694217,0.656402,0.61865,0.581202,0.544302,0.508194,0.473107,0.439256,0.40682,0.375946,0.346736,0.319246,0.293489},
{1.01474,1.01561,1.01653,1.0175,1.01851,1.01959,1.02071,1.0219,1.02316,1.02447,1.02586,1.02732,1.02886,1.03048,1.03218,1.03397,1.03586,1.03784,1.03992,1.04211,1.04441,1.04683,1.04937,1.05203,1.05483,1.05777,1.06084,1.06407,1.06745,1.07099,1.0747,1.07857,1.08263,1.08687,1.09129,1.09592,1.10074,1.10577,1.11101,1.11647,1.12214,1.12805,1.13418,1.14055,1.14715,1.154,1.16108,1.16841,1.17598,1.1838,1.19187,1.20018,1.20873,1.21752,1.22654,1.23579,1.24527,1.25497,1.26487,1.27498,1.28527,1.29575,1.30639,1.31718,1.32811,1.33916,1.35031,1.36155,1.37285,1.38419,1.39556,1.40693,1.41827,1.42956,1.44077,1.45189,1.46287,1.4737,1.48435,1.49478,1.50498,1.51491,1.52455,1.53387,1.54285,1.55145,1.55966,1.56745,1.5748,1.5817,1.58812,1.59405,1.59947,1.60438,1.60876,1.61261,1.61593,1.61871,1.62095,1.62267,1.62387,1.62456,1.62475,1.62446,1.6237,1.62251,1.62089,1.61887,1.61649,1.61376,1.61071,1.60738,1.6038,1.59998,1.59597,1.5918,1.58748,1.58305,1.57853,1.57396,1.56934,1.56471,1.56008,1.55547,1.55089,1.54636,1.54189,1.53748,1.53314,1.52887,1.52468,1.52056,1.51651,1.51252,1.50859,1.5047,1.50086,1.49703,1.49322,1.4894,1.48556,1.48168,1.47773,1.47371,1.46958,1.46532,1.4609,1.45631,1.45151,1.44647,1.44116,1.43555,1.42961,1.4233,1.41658,1.40942,1.40177,1.39359,1.38484,1.37547,1.36544,1.35469,1.34318,1.33086,1.31767,1.30357,1.2885,1.2724,1.25523,1.23693,1.21746,1.19678,1.17484,1.15161,1.12707,1.10118,1.07394,1.04536,1.01545,0.984233,0.951762,0.918101,0.883337,0.847577,0.810952,0.773616,0.735746,0.697538,0.659213,0.621,0.583143,0.545889,0.50948,0.474146,0.440093,0.4075,0.376505,0.347204,0.319645,0.293833},
{1.01465,1.01551,1.01643,1.01739,1.01841,1.01948,1.0206,1.02179,1.02303,1.02435,1.02573,1.02719,1.02872,1.03034,1.03204,1.03382,1.0357,1.03768,1.03976,1.04195,1.04425,1.04666,1.0492,1.05186,1.05466,1.0576,1.06068,1.06391,1.06729,1.07084,1.07455,1.07844,1.0825,1.08676,1.0912,1.09584,1.10069,1.10574,1.11101,1.1165,1.12222,1.12816,1.13434,1.14076,1.14743,1.15434,1.16149,1.1689,1.17656,1.18448,1.19265,1.20107,1.20974,1.21866,1.22783,1.23724,1.24688,1.25676,1.26685,1.27716,1.28767,1.29837,1.30926,1.3203,1.3315,1.34284,1.35429,1.36584,1.37747,1.38916,1.40088,1.41262,1.42434,1.43603,1.44766,1.4592,1.47062,1.48189,1.493,1.5039,1.51458,1.525,1.53513,1.54495,1.55443,1.56354,1.57227,1.58057,1.58844,1.59585,1.60279,1.60923,1.61516,1.62057,1.62544,1.62978,1.63358,1.63683,1.63954,1.6417,1.64334,1.64445,1.64504,1.64515,1.64477,1.64394,1.64266,1.64098,1.63891,1.63648,1.63372,1.63065,1.62732,1.62374,1.61994,1.61597,1.61184,1.60758,1.60323,1.59879,1.59431,1.5898,1.58527,1.58076,1.57626,1.5718,1.56739,1.56303,1.55873,1.55449,1.55031,1.5462,1.54214,1.53814,1.53419,1.53028,1.52639,1.52252,1.51864,1.51475,1.51083,1.50686,1.50281,1.49867,1.49441,1.49002,1.48545,1.4807,1.47572,1.47049,1.46498,1.45915,1.45297,1.44641,1.43942,1.43197,1.42401,1.41551,1.40641,1.39668,1.38626,1.37511,1.36317,1.3504,1.33674,1.32214,1.30654,1.28991,1.27217,1.25329,1.23322,1.21191,1.18933,1.16544,1.14022,1.11364,1.08571,1.05642,1.0258,0.993871,0.960694,0.926335,0.890885,0.854456,0.817185,0.77923,0.740772,0.702014,0.663178,0.624499,0.586221,0.548593,0.511857,0.47624,0.441947,0.409152,0.377987,0.348543,0.32086,0.29494},
{1.01455,1.01542,1.01633,1.01729,1.0183,1.01936,1.02048,1.02166,1.02291,1.02422,1.0256,1.02705,1.02858,1.03019,1.03188,1.03366,1.03554,1.03751,1.03959,1.04177,1.04407,1.04648,1.04901,1.05168,1.05447,1.05741,1.06049,1.06372,1.06711,1.07066,1.07438,1.07827,1.08235,1.08661,1.09107,1.09573,1.10059,1.10567,1.11097,1.11649,1.12224,1.12822,1.13445,1.14092,1.14764,1.15461,1.16183,1.16932,1.17706,1.18507,1.19334,1.20187,1.21066,1.21971,1.22902,1.23858,1.24838,1.25843,1.26871,1.27922,1.28994,1.30087,1.31199,1.3233,1.33476,1.34638,1.35813,1.36999,1.38195,1.39398,1.40606,1.41817,1.43028,1.44237,1.45441,1.46637,1.47824,1.48997,1.50154,1.51291,1.52408,1.53499,1.54562,1.55595,1.56595,1.57558,1.58483,1.59366,1.60206,1.61,1.61746,1.62443,1.63088,1.63681,1.6422,1.64704,1.65133,1.65507,1.65825,1.66088,1.66297,1.66452,1.66554,1.66605,1.66607,1.66562,1.66471,1.66337,1.66163,1.65952,1.65705,1.65427,1.65119,1.64786,1.6443,1.64054,1.63661,1.63254,1.62835,1.62408,1.61974,1.61535,1.61094,1.60653,1.60213,1.59774,1.5934,1.58909,1.58483,1.58063,1.57648,1.57238,1.56833,1.56432,1.56035,1.55641,1.55249,1.54857,1.54464,1.54069,1.53669,1.53263,1.52849,1.52424,1.51987,1.51534,1.51064,1.50573,1.50058,1.49518,1.48947,1.48343,1.47703,1.47023,1.46299,1.45527,1.44702,1.43821,1.42879,1.41872,1.40794,1.39641,1.38407,1.37088,1.35678,1.34172,1.32565,1.30851,1.29026,1.27084,1.25021,1.22833,1.20515,1.18066,1.15482,1.12761,1.09904,1.0691,1.03782,1.00524,0.971409,0.936399,0.900307,0.863249,0.825363,0.786813,0.747783,0.70848,0.669127,0.629964,0.591237,0.553194,0.516078,0.480116,0.445511,0.412433,0.381012,0.351334,0.323438,0.297319},
{1.01445,1.01531,1.01622,1.01718,1.01818,1.01924,1.02036,1.02153,1.02277,1.02408,1.02545,1.0269,1.02842,1.03003,1.03171,1.03349,1.03536,1.03733,1.0394,1.04158,1.04387,1.04628,1.04881,1.05147,1.05427,1.0572,1.06028,1.06351,1.0669,1.07045,1.07417,1.07807,1.08216,1.08643,1.0909,1.09557,1.10046,1.10556,1.11088,1.11642,1.12221,1.12823,1.13449,1.14101,1.14778,1.15481,1.1621,1.16966,1.17748,1.18557,1.19394,1.20257,1.21148,1.22066,1.2301,1.2398,1.24977,1.25998,1.27045,1.28115,1.29208,1.30323,1.31459,1.32615,1.33788,1.34978,1.36182,1.374,1.38628,1.39865,1.41109,1.42357,1.43607,1.44856,1.46101,1.47341,1.48571,1.4979,1.50994,1.5218,1.53345,1.54486,1.556,1.56685,1.57737,1.58754,1.59732,1.60669,1.61563,1.62411,1.63211,1.63962,1.64661,1.65307,1.65898,1.66435,1.66915,1.67339,1.67706,1.68018,1.68273,1.68473,1.6862,1.68714,1.68757,1.68751,1.68698,1.686,1.6846,1.68282,1.68066,1.67817,1.67537,1.6723,1.66898,1.66545,1.66173,1.65785,1.65385,1.64973,1.64554,1.64129,1.637,1.6327,1.62839,1.62409,1.61981,1.61556,1.61135,1.60718,1.60305,1.59897,1.59492,1.59091,1.58692,1.58295,1.57898,1.57501,1.57102,1.567,1.56292,1.55876,1.55452,1.55015,1.54565,1.54098,1.53612,1.53104,1.52571,1.52011,1.51419,1.50793,1.50128,1.49422,1.4867,1.47868,1.47012,1.46098,1.45121,1.44076,1.42959,1.41765,1.40488,1.39123,1.37665,1.36109,1.3445,1.32682,1.308,1.288,1.26677,1.24427,1.22046,1.19531,1.1688,1.14091,1.11165,1.08102,1.04904,1.01576,0.981235,0.945539,0.908771,0.871053,0.832528,0.793364,0.753749,0.713894,0.674026,0.634386,0.595224,0.556788,0.519321,0.483048,0.44817,0.414853,0.383222,0.353359,0.325296,0.299026},
{1.01435,1.01521,1.01611,1.01706,1.01806,1.01912,1.02023,1.0214,1.02263,1.02393,1.0253,1.02674,1.02826,1.02986,1.03154,1.03331,1.03518,1.03714,1.03921,1.04138,1.04366,1.04607,1.04859,1.05125,1.05404,1.05697,1.06005,1.06327,1.06666,1.07022,1.07394,1.07785,1.08194,1.08622,1.0907,1.09538,1.10028,1.1054,1.11074,1.11631,1.12212,1.12817,1.13448,1.14104,1.14786,1.15494,1.16229,1.16991,1.17781,1.18599,1.19444,1.20318,1.2122,1.22149,1.23106,1.24091,1.25102,1.26141,1.27205,1.28294,1.29408,1.30544,1.31704,1.32883,1.34083,1.353,1.36534,1.37782,1.39043,1.40314,1.41593,1.42878,1.44166,1.45455,1.46742,1.48025,1.493,1.50564,1.51815,1.53049,1.54264,1.55455,1.56621,1.57758,1.58863,1.59933,1.60966,1.61957,1.62906,1.63809,1.64665,1.6547,1.66223,1.66923,1.67569,1.68158,1.68691,1.69166,1.69584,1.69944,1.70247,1.70494,1.70686,1.70823,1.70908,1.70943,1.70928,1.70868,1.70764,1.70618,1.70434,1.70215,1.69964,1.69683,1.69375,1.69045,1.68694,1.68325,1.67942,1.67546,1.67141,1.66729,1.66312,1.6589,1.65468,1.65044,1.64622,1.64201,1.63782,1.63366,1.62953,1.62543,1.62135,1.61729,1.61324,1.6092,1.60515,1.60108,1.59697,1.59281,1.58859,1.58427,1.57984,1.57527,1.57055,1.56565,1.56053,1.55517,1.54955,1.54362,1.53735,1.53072,1.52368,1.51619,1.50822,1.49972,1.49065,1.48096,1.47061,1.45956,1.44774,1.43512,1.42163,1.40723,1.39187,1.37549,1.35804,1.33946,1.31972,1.29876,1.27653,1.25301,1.22816,1.20194,1.17435,1.14537,1.115,1.08327,1.05021,1.01586,0.980284,0.943579,0.905851,0.867231,0.827874,0.787959,0.747684,0.70727,0.666952,0.626975,0.58759,0.549047,0.511582,0.475412,0.440726,0.407674,0.376363,0.346856,0.319169,0.293275},
{1.01424,1.0151,1.01599,1.01694,1.01794,1.01899,1.02009,1.02126,1.02249,1.02378,1.02514,1.02658,1.02809,1.02968,1.03135,1.03312,1.03498,1.03693,1.03899,1.04116,1.04344,1.04584,1.04836,1.05101,1.05379,1.05672,1.05979,1.06302,1.0664,1.06996,1.07368,1.07759,1.08168,1.08597,1.09045,1.09515,1.10006,1.10519,1.11055,1.11614,1.12198,1.12806,1.1344,1.141,1.14786,1.155,1.16241,1.17009,1.17806,1.18632,1.19486,1.20369,1.21281,1.22222,1.23192,1.2419,1.25217,1.26271,1.27353,1.28461,1.29594,1.30753,1.31934,1.33139,1.34364,1.35609,1.36872,1.3815,1.39443,1.40748,1.42063,1.43385,1.44712,1.46041,1.4737,1.48696,1.50016,1.51327,1.52625,1.53908,1.55173,1.56416,1.57634,1.58824,1.59984,1.61109,1.62197,1.63244,1.6425,1.65209,1.66121,1.66983,1.67793,1.68549,1.6925,1.69895,1.70482,1.7101,1.71481,1.71892,1.72246,1.72542,1.72781,1.72964,1.73094,1.73171,1.73198,1.73176,1.7311,1.73,1.7285,1.72663,1.72442,1.7219,1.71909,1.71603,1.71275,1.70928,1.70565,1.70188,1.698,1.69402,1.68998,1.68589,1.68177,1.67763,1.67348,1.66934,1.6652,1.66108,1.65698,1.65289,1.64881,1.64475,1.64068,1.6366,1.63251,1.62838,1.62421,1.61997,1.61565,1.61123,1.60668,1.60199,1.59712,1.59206,1.58677,1.58123,1.5754,1.56926,1.56276,1.55588,1.54857,1.5408,1.53252,1.5237,1.5143,1.50425,1.49353,1.48207,1.46983,1.45677,1.44282,1.42794,1.41207,1.39516,1.37716,1.35801,1.33768,1.31611,1.29326,1.26909,1.24357,1.21668,1.1884,1.15872,1.12765,1.09521,1.06143,1.02637,0.990096,0.952697,0.914289,0.875008,0.835013,0.794487,0.753633,0.712674,0.671848,0.631405,0.591595,0.552669,0.514862,0.47839,0.443436,0.410149,0.37863,0.348937,0.321081,0.295031},
{1.01413,1.01498,1.01587,1.01682,1.01781,1.01885,1.01995,1.02111,1.02233,1.02362,1.02497,1.0264,1.02791,1.02949,1.03116,1.03292,1.03477,1.03672,1.03877,1.04093,1.0432,1.04559,1.0481,1.05075,1.05353,1.05645,1.05951,1.06274,1.06612,1.06967,1.07339,1.0773,1.08139,1.08568,1.09017,1.09488,1.0998,1.10494,1.11031,1.11593,1.12178,1.12789,1.13426,1.1409,1.1478,1.15498,1.16244,1.17019,1.17823,1.18656,1.19518,1.2041,1.21333,1.22285,1.23266,1.24278,1.25319,1.26389,1.27487,1.28613,1.29766,1.30946,1.3215,1.33378,1.34629,1.35901,1.37192,1.38501,1.39826,1.41165,1.42515,1.43874,1.45239,1.46609,1.4798,1.49349,1.50714,1.52071,1.53418,1.5475,1.56065,1.5736,1.58632,1.59876,1.6109,1.62271,1.63415,1.6452,1.65583,1.666,1.6757,1.6849,1.69358,1.70171,1.70929,1.7163,1.72273,1.72857,1.73381,1.73846,1.74251,1.74597,1.74885,1.75117,1.75292,1.75413,1.75483,1.75503,1.75475,1.75403,1.75288,1.75135,1.74945,1.74722,1.7447,1.7419,1.73886,1.73562,1.73219,1.72861,1.7249,1.72108,1.71718,1.71321,1.7092,1.70515,1.70108,1.697,1.69292,1.68884,1.68476,1.68068,1.6766,1.67252,1.66842,1.66431,1.66016,1.65596,1.65171,1.64738,1.64295,1.6384,1.63372,1.62888,1.62385,1.61861,1.61312,1.60737,1.60131,1.59492,1.58816,1.581,1.57339,1.56529,1.55668,1.54749,1.5377,1.52725,1.5161,1.50419,1.49148,1.47791,1.46344,1.44801,1.43156,1.41406,1.39544,1.37565,1.35465,1.33239,1.30884,1.28394,1.25768,1.23003,1.20098,1.17053,1.13867,1.10544,1.07088,1.03504,0.997997,0.959846,0.920708,0.880724,0.840059,0.798901,0.757457,0.715957,0.674641,0.633761,0.59357,0.554317,0.516235,0.479537,0.444402,0.41097,0.379337,0.349553,0.321621,0.295506},
{1.01402,1.01486,1.01575,1.01669,1.01767,1.01871,1.0198,1.02096,1.02217,1.02345,1.0248,1.02622,1.02772,1.02929,1.03096,1.03271,1.03455,1.03649,1.03853,1.04068,1.04295,1.04533,1.04783,1.05047,1.05324,1.05615,1.05921,1.06243,1.06581,1.06935,1.07307,1.07698,1.08107,1.08536,1.08986,1.09456,1.09949,1.10464,1.11003,1.11566,1.12153,1.12767,1.13406,1.14073,1.14767,1.15489,1.1624,1.1702,1.1783,1.1867,1.1954,1.20441,1.21373,1.22336,1.23329,1.24353,1.25408,1.26493,1.27608,1.28751,1.29924,1.31123,1.3235,1.33602,1.34877,1.36176,1.37496,1.38835,1.40191,1.41563,1.42948,1.44344,1.45749,1.47158,1.48571,1.49984,1.51394,1.52798,1.54193,1.55575,1.56942,1.58289,1.59614,1.60913,1.62183,1.63421,1.64623,1.65786,1.66907,1.67983,1.69012,1.69992,1.70919,1.71791,1.72608,1.73367,1.74068,1.74708,1.75288,1.75808,1.76267,1.76665,1.77004,1.77285,1.77508,1.77676,1.7779,1.77852,1.77866,1.77832,1.77755,1.77637,1.7748,1.77289,1.77066,1.76814,1.76536,1.76235,1.75914,1.75576,1.75224,1.74859,1.74484,1.74101,1.73711,1.73317,1.72919,1.72518,1.72116,1.71712,1.71307,1.70901,1.70494,1.70085,1.69674,1.69258,1.68839,1.68413,1.67981,1.67539,1.67086,1.6662,1.6614,1.65641,1.65123,1.64581,1.64015,1.63419,1.62792,1.6213,1.61429,1.60685,1.59896,1.59056,1.58163,1.5721,1.56195,1.55112,1.53956,1.52723,1.51407,1.50004,1.48508,1.46915,1.45217,1.43412,1.41492,1.39454,1.37293,1.35004,1.32583,1.30027,1.27333,1.24499,1.21523,1.18406,1.15148,1.11753,1.08224,1.04567,1.00792,0.969062,0.929236,0.888584,0.847276,0.805503,0.763478,0.721431,0.679608,0.638261,0.597645,0.55801,0.519587,0.482586,0.447183,0.413514,0.38167,0.351695,0.32359,0.297314},
{1.0139,1.01474,1.01562,1.01655,1.01753,1.01856,1.01965,1.0208,1.022,1.02328,1.02462,1.02603,1.02752,1.02909,1.03074,1.03248,1.03432,1.03625,1.03828,1.04042,1.04268,1.04505,1.04755,1.05017,1.05294,1.05584,1.05889,1.0621,1.06547,1.06901,1.07273,1.07663,1.08072,1.085,1.0895,1.09421,1.09914,1.1043,1.10969,1.11533,1.12123,1.12738,1.1338,1.14049,1.14746,1.15472,1.16228,1.17013,1.17829,1.18675,1.19553,1.20462,1.21402,1.22375,1.2338,1.24416,1.25484,1.26583,1.27714,1.28875,1.30065,1.31285,1.32533,1.33808,1.35108,1.36433,1.3778,1.39149,1.40537,1.41942,1.43362,1.44794,1.46237,1.47687,1.49142,1.50598,1.52053,1.53504,1.54947,1.5638,1.57798,1.59198,1.60577,1.61932,1.63258,1.64553,1.65813,1.67035,1.68215,1.69352,1.70441,1.71481,1.72469,1.73402,1.74278,1.75097,1.75856,1.76555,1.77193,1.77768,1.78282,1.78735,1.79126,1.79458,1.79731,1.79946,1.80106,1.80213,1.80268,1.80275,1.80236,1.80154,1.80032,1.79873,1.7968,1.79456,1.79205,1.78929,1.78631,1.78313,1.7798,1.77632,1.77272,1.76902,1.76525,1.7614,1.75751,1.75357,1.7496,1.7456,1.74158,1.73753,1.73345,1.72933,1.72518,1.72098,1.71671,1.71238,1.70795,1.70342,1.69877,1.69396,1.689,1.68383,1.67846,1.67283,1.66693,1.66073,1.65419,1.64728,1.63996,1.6322,1.62396,1.61519,1.60585,1.59591,1.58531,1.57401,1.56196,1.54911,1.53541,1.52081,1.50525,1.48868,1.47106,1.45233,1.43243,1.41132,1.38895,1.36529,1.34028,1.31391,1.28613,1.25694,1.22633,1.19429,1.16084,1.12602,1.08987,1.05246,1.01387,0.97421,0.933608,0.892217,0.850213,0.807796,0.765181,0.722607,0.68032,0.638578,0.597633,0.557736,0.519113,0.48197,0.446475,0.412754,0.38089,0.350917,0.322827,0.296571},
{1.01378,1.01461,1.01549,1.01641,1.01739,1.01841,1.01949,1.02063,1.02183,1.02309,1.02443,1.02583,1.02731,1.02887,1.03052,1.03225,1.03407,1.03599,1.03802,1.04015,1.04239,1.04475,1.04724,1.04986,1.05261,1.0555,1.05855,1.06175,1.06511,1.06864,1.07235,1.07624,1.08033,1.08461,1.0891,1.09381,1.09874,1.1039,1.10931,1.11495,1.12086,1.12703,1.13347,1.14018,1.14719,1.15448,1.16207,1.16997,1.17818,1.1867,1.19555,1.20471,1.21421,1.22403,1.23418,1.24466,1.25547,1.2666,1.27806,1.28983,1.30192,1.31431,1.327,1.33997,1.35322,1.36672,1.38047,1.39445,1.40864,1.42302,1.43756,1.45225,1.46706,1.48196,1.49693,1.51193,1.52694,1.54192,1.55684,1.57167,1.58637,1.6009,1.61524,1.62935,1.64319,1.65672,1.66991,1.68274,1.69515,1.70713,1.71864,1.72966,1.74016,1.75011,1.75949,1.76829,1.7765,1.78409,1.79106,1.7974,1.80311,1.8082,1.81266,1.81651,1.81975,1.8224,1.82449,1.82601,1.82701,1.82751,1.82753,1.82709,1.82624,1.82499,1.82339,1.82146,1.81923,1.81673,1.814,1.81105,1.80792,1.80463,1.80121,1.79767,1.79403,1.79031,1.78652,1.78267,1.77877,1.77483,1.77085,1.76683,1.76276,1.75865,1.75448,1.75026,1.74595,1.74156,1.73707,1.73246,1.72771,1.7228,1.71771,1.71241,1.70688,1.70109,1.69502,1.68862,1.68187,1.67473,1.66717,1.65915,1.65063,1.64157,1.63193,1.62166,1.61071,1.59905,1.58662,1.57336,1.55924,1.5442,1.52818,1.51114,1.49302,1.47377,1.45333,1.43167,1.40874,1.38449,1.35888,1.33188,1.30348,1.27365,1.24238,1.20968,1.17556,1.14007,1.10325,1.06516,1.0259,0.985579,0.944324,0.902293,0.859666,0.816644,0.773447,0.730315,0.687498,0.645254,0.603837,0.563497,0.524462,0.486934,0.451081,0.417028,0.384854,0.35459,0.326226,0.299713},
{1.01365,1.01448,1.01535,1.01627,1.01723,1.01825,1.01933,1.02046,1.02165,1.02291,1.02423,1.02563,1.0271,1.02865,1.03028,1.032,1.03382,1.03573,1.03774,1.03986,1.04209,1.04444,1.04692,1.04952,1.05226,1.05515,1.05818,1.06137,1.06472,1.06824,1.07194,1.07582,1.0799,1.08418,1.08867,1.09337,1.0983,1.10346,1.10887,1.11452,1.12044,1.12662,1.13307,1.13981,1.14683,1.15416,1.16178,1.16972,1.17798,1.18656,1.19546,1.2047,1.21427,1.22418,1.23443,1.24502,1.25595,1.26722,1.27882,1.29075,1.30301,1.31559,1.32848,1.34167,1.35515,1.36891,1.38293,1.39719,1.41169,1.42639,1.44127,1.45632,1.47151,1.48681,1.50219,1.51763,1.53309,1.54854,1.56394,1.57928,1.5945,1.60957,1.62446,1.63913,1.65354,1.66767,1.68146,1.69489,1.70792,1.72052,1.73266,1.7443,1.75543,1.76601,1.77603,1.78545,1.79427,1.80248,1.81005,1.81699,1.82329,1.82895,1.83397,1.83836,1.84213,1.8453,1.84787,1.84988,1.85133,1.85226,1.85269,1.85265,1.85217,1.85128,1.85001,1.84838,1.84644,1.84421,1.84172,1.839,1.83608,1.83298,1.82972,1.82632,1.82281,1.8192,1.8155,1.81172,1.80788,1.80398,1.80002,1.796,1.79192,1.78778,1.78356,1.77927,1.77489,1.7704,1.76579,1.76105,1.75615,1.75107,1.74579,1.74029,1.73453,1.7285,1.72216,1.71547,1.70841,1.70095,1.69303,1.68464,1.67572,1.66623,1.65613,1.64538,1.63394,1.62174,1.60875,1.59491,1.58017,1.56448,1.54779,1.53004,1.51119,1.49117,1.46996,1.44748,1.42371,1.39859,1.3721,1.3442,1.31488,1.28411,1.2519,1.21825,1.18319,1.14676,1.10901,1.07001,1.02986,0.988684,0.946615,0.903818,0.86048,0.81681,0.773034,0.729397,0.686154,0.643562,0.601878,0.561347,0.522192,0.48461,0.448756,0.414744,0.382642,0.35247,0.324208,0.297798},
{1.01352,1.01434,1.01521,1.01612,1.01708,1.01809,1.01915,1.02028,1.02146,1.02271,1.02402,1.02541,1.02687,1.02841,1.03003,1.03174,1.03355,1.03545,1.03745,1.03956,1.04178,1.04411,1.04658,1.04917,1.0519,1.05477,1.05779,1.06096,1.0643,1.06781,1.0715,1.07537,1.07944,1.08371,1.08819,1.09289,1.09781,1.10297,1.10838,1.11403,1.11995,1.12614,1.13261,1.13936,1.1464,1.15375,1.16141,1.16939,1.17768,1.18631,1.19527,1.20458,1.21422,1.22421,1.23456,1.24525,1.25629,1.26769,1.27943,1.29152,1.30394,1.3167,1.32979,1.3432,1.35691,1.37091,1.38519,1.39974,1.41453,1.42955,1.44478,1.46019,1.47575,1.49144,1.50724,1.52311,1.53903,1.55495,1.57085,1.58669,1.60244,1.61805,1.6335,1.64874,1.66374,1.67846,1.69287,1.70692,1.72058,1.73381,1.74659,1.75888,1.77066,1.78189,1.79255,1.80262,1.81209,1.82093,1.82913,1.83669,1.8436,1.84985,1.85546,1.86042,1.86474,1.86844,1.87154,1.87404,1.87598,1.87737,1.87824,1.87862,1.87854,1.87802,1.8771,1.87582,1.87419,1.87225,1.87003,1.86756,1.86487,1.86197,1.85891,1.85568,1.85232,1.84885,1.84527,1.84159,1.83783,1.834,1.83008,1.8261,1.82204,1.8179,1.81367,1.80935,1.80493,1.80038,1.7957,1.79087,1.78587,1.78067,1.77526,1.76961,1.7637,1.75749,1.75095,1.74406,1.73677,1.72906,1.72089,1.71222,1.703,1.6932,1.68278,1.67168,1.65987,1.64729,1.63389,1.61962,1.60444,1.58829,1.57112,1.55287,1.5335,1.51295,1.49118,1.46813,1.44376,1.41804,1.39093,1.36239,1.33242,1.30099,1.26811,1.23379,1.19804,1.16092,1.12248,1.0828,1.04197,1.00012,0.957387,0.913942,0.869974,0.825694,0.781331,0.737133,0.693356,0.650261,0.608103,0.567129,0.527561,0.489594,0.453381,0.419035,0.386621,0.356157,0.327619,0.300948},
{1.01339,1.0142,1.01506,1.01596,1.01692,1.01792,1.01898,1.02009,1.02127,1.02251,1.02381,1.02519,1.02664,1.02817,1.02978,1.03148,1.03327,1.03516,1.03714,1.03924,1.04145,1.04377,1.04622,1.0488,1.05151,1.05437,1.05737,1.06053,1.06386,1.06735,1.07103,1.07489,1.07894,1.0832,1.08767,1.09236,1.09728,1.10243,1.10783,1.11349,1.11941,1.1256,1.13207,1.13884,1.1459,1.15327,1.16095,1.16896,1.17729,1.18596,1.19498,1.20434,1.21405,1.22412,1.23455,1.24533,1.25649,1.268,1.27987,1.29211,1.30469,1.31763,1.33091,1.34452,1.35845,1.37269,1.38723,1.40205,1.41714,1.43247,1.44803,1.46379,1.47972,1.49581,1.51202,1.52832,1.54468,1.56108,1.57746,1.59381,1.61008,1.62624,1.64225,1.65806,1.67365,1.68897,1.70399,1.71866,1.73296,1.74683,1.76026,1.7732,1.78564,1.79752,1.80884,1.81957,1.82969,1.83917,1.84802,1.8562,1.86373,1.8706,1.8768,1.88234,1.88723,1.89148,1.8951,1.89812,1.90054,1.9024,1.90372,1.90453,1.90485,1.90472,1.90416,1.90321,1.9019,1.90025,1.89831,1.89609,1.89362,1.89093,1.88805,1.88499,1.88177,1.87842,1.87494,1.87134,1.86765,1.86385,1.85997,1.85599,1.85192,1.84775,1.84347,1.83908,1.83457,1.82992,1.82512,1.82015,1.81498,1.80961,1.804,1.79813,1.79197,1.7855,1.77868,1.77148,1.76387,1.75581,1.74726,1.73819,1.72855,1.7183,1.7074,1.69581,1.68346,1.67032,1.65634,1.64146,1.62564,1.60882,1.59095,1.57197,1.55184,1.53051,1.50792,1.48404,1.45882,1.43221,1.4042,1.37474,1.34383,1.31146,1.27763,1.24234,1.20565,1.16758,1.1282,1.08761,1.0459,1.0032,0.959658,0.915456,0.870789,0.825875,0.780948,0.736261,0.692074,0.648647,0.606237,0.565086,0.525409,0.487394,0.451184,0.41688,0.384537,0.354158,0.325713,0.299137},
{1.01325,1.01406,1.01491,1.0158,1.01675,1.01774,1.01879,1.0199,1.02107,1.02229,1.02359,1.02495,1.02639,1.02791,1.02951,1.0312,1.03298,1.03485,1.03682,1.03891,1.0411,1.04341,1.04584,1.0484,1.0511,1.05394,1.05693,1.06008,1.06339,1.06687,1.07052,1.07437,1.07841,1.08266,1.08711,1.09179,1.0967,1.10184,1.10724,1.11289,1.1188,1.125,1.13147,1.13824,1.14531,1.1527,1.1604,1.16843,1.1768,1.18551,1.19457,1.20398,1.21375,1.22389,1.2344,1.24528,1.25653,1.26816,1.28016,1.29253,1.30527,1.31837,1.33183,1.34564,1.35979,1.37427,1.38906,1.40415,1.41953,1.43517,1.45105,1.46716,1.48347,1.49994,1.51656,1.53329,1.55011,1.56697,1.58385,1.60071,1.61751,1.63421,1.65078,1.66718,1.68336,1.6993,1.71494,1.73025,1.74519,1.75972,1.77381,1.78742,1.80053,1.81309,1.82509,1.83649,1.84728,1.85744,1.86694,1.87579,1.88396,1.89146,1.89828,1.90443,1.90991,1.91473,1.91891,1.92246,1.92541,1.92777,1.92956,1.93082,1.93158,1.93186,1.93169,1.9311,1.93013,1.92881,1.92716,1.92521,1.923,1.92054,1.91787,1.915,1.91195,1.90875,1.9054,1.90192,1.89832,1.8946,1.89077,1.88683,1.88278,1.87861,1.87433,1.86991,1.86535,1.86064,1.85577,1.8507,1.84543,1.83993,1.83418,1.82815,1.82182,1.81516,1.80813,1.80071,1.79286,1.78454,1.77572,1.76636,1.75641,1.74583,1.73458,1.72262,1.70989,1.69635,1.68194,1.66662,1.65033,1.63303,1.61466,1.59517,1.5745,1.55261,1.52945,1.50498,1.47914,1.45192,1.42326,1.39316,1.36158,1.32853,1.29401,1.25804,1.22065,1.18188,1.14181,1.10052,1.05812,1.01473,0.970527,0.925671,0.880368,0.834839,0.789321,0.744071,0.699348,0.655415,0.612529,0.570932,0.53084,0.492437,0.455866,0.421225,0.388565,0.357889,0.329164,0.302322},
{1.0131,1.01391,1.01475,1.01564,1.01658,1.01756,1.0186,1.0197,1.02086,1.02208,1.02336,1.02471,1.02614,1.02765,1.02923,1.03091,1.03267,1.03453,1.03649,1.03856,1.04073,1.04303,1.04545,1.04799,1.05067,1.0535,1.05647,1.05959,1.06289,1.06635,1.06999,1.07382,1.07784,1.08207,1.08651,1.09117,1.09607,1.1012,1.10658,1.11223,1.11814,1.12432,1.1308,1.13757,1.14465,1.15204,1.15976,1.16781,1.17621,1.18495,1.19404,1.2035,1.21333,1.22353,1.23411,1.24508,1.25642,1.26815,1.28027,1.29277,1.30566,1.31892,1.33256,1.34656,1.36091,1.37561,1.39065,1.406,1.42166,1.4376,1.45381,1.47026,1.48692,1.50378,1.5208,1.53796,1.55522,1.57255,1.58992,1.60729,1.62461,1.64186,1.659,1.67598,1.69276,1.70931,1.72558,1.74153,1.75712,1.77231,1.78708,1.80137,1.81515,1.8284,1.84109,1.85318,1.86465,1.87549,1.88567,1.89518,1.90401,1.91215,1.91961,1.92638,1.93247,1.93788,1.94263,1.94673,1.95021,1.95307,1.95536,1.95709,1.95829,1.95898,1.95921,1.959,1.95838,1.95738,1.95603,1.95436,1.95241,1.95018,1.94772,1.94504,1.94216,1.9391,1.93587,1.93249,1.92897,1.92532,1.92153,1.91761,1.91356,1.90938,1.90506,1.90059,1.89596,1.89116,1.88617,1.88098,1.87556,1.86989,1.86395,1.85772,1.85117,1.84426,1.83696,1.82925,1.82109,1.81245,1.80327,1.79353,1.78319,1.77219,1.7605,1.74806,1.73484,1.72078,1.70584,1.68995,1.67307,1.65515,1.63614,1.61598,1.59462,1.57202,1.54813,1.52289,1.49628,1.46825,1.43878,1.40785,1.37543,1.34153,1.30615,1.26931,1.23105,1.19143,1.1505,1.10838,1.06517,1.021,0.976038,0.930468,0.884495,0.838345,0.79226,0.746499,0.701326,0.657004,0.613789,0.57192,0.531608,0.493033,0.456329,0.421586,0.388848,0.35811,0.329333,0.302444},
{1.01296,1.01375,1.01459,1.01547,1.0164,1.01738,1.01841,1.0195,1.02064,1.02185,1.02312,1.02446,1.02588,1.02737,1.02895,1.03061,1.03236,1.0342,1.03615,1.03819,1.04036,1.04263,1.04503,1.04756,1.05022,1.05303,1.05598,1.05909,1.06236,1.0658,1.06942,1.07323,1.07724,1.08145,1.08587,1.09051,1.09539,1.10051,1.10588,1.11151,1.11741,1.12359,1.13006,1.13683,1.14391,1.1513,1.15903,1.1671,1.17551,1.18427,1.1934,1.2029,1.21278,1.22304,1.23368,1.24472,1.25615,1.26798,1.28021,1.29284,1.30586,1.31927,1.33307,1.34726,1.36181,1.37673,1.392,1.40761,1.42355,1.43978,1.4563,1.47309,1.49011,1.50735,1.52477,1.54235,1.56006,1.57785,1.59571,1.61358,1.63144,1.64924,1.66694,1.68451,1.70189,1.71906,1.73596,1.75256,1.76882,1.78468,1.80013,1.81511,1.82959,1.84354,1.85693,1.86973,1.8819,1.89344,1.90432,1.91451,1.92403,1.93284,1.94095,1.94837,1.95508,1.9611,1.96645,1.97113,1.97516,1.97856,1.98136,1.98358,1.98524,1.98638,1.98703,1.98721,1.98696,1.98631,1.98529,1.98392,1.98224,1.98027,1.97804,1.97556,1.97287,1.96997,1.96689,1.96363,1.96021,1.95664,1.95291,1.94904,1.94501,1.94083,1.9365,1.932,1.92732,1.92245,1.91737,1.91207,1.90653,1.90073,1.89463,1.88822,1.88148,1.87436,1.86683,1.85888,1.85045,1.84152,1.83204,1.82198,1.81129,1.79993,1.78786,1.77503,1.76138,1.74688,1.73147,1.7151,1.69772,1.67928,1.65973,1.639,1.61706,1.59386,1.56934,1.54347,1.5162,1.48751,1.45735,1.42571,1.39258,1.35796,1.32185,1.28427,1.24528,1.20491,1.16326,1.1204,1.07646,1.03159,0.985935,0.939694,0.893073,0.846304,0.799629,0.753313,0.707619,0.662812,0.619147,0.576865,0.536174,0.497251,0.460228,0.425191,0.39218,0.361188,0.332171,0.305056},
{1.01281,1.01359,1.01442,1.0153,1.01622,1.01719,1.01821,1.01928,1.02042,1.02161,1.02288,1.02421,1.02561,1.02709,1.02865,1.03029,1.03203,1.03386,1.03578,1.03782,1.03996,1.04222,1.0446,1.04711,1.04975,1.05253,1.05546,1.05855,1.0618,1.06522,1.06882,1.07261,1.07659,1.08078,1.08518,1.08981,1.09466,1.09976,1.10511,1.11073,1.11661,1.12278,1.12924,1.136,1.14308,1.15048,1.15821,1.16628,1.17471,1.18349,1.19265,1.20218,1.21209,1.2224,1.2331,1.24421,1.25572,1.26764,1.27997,1.29271,1.30585,1.31941,1.33337,1.34773,1.36248,1.3776,1.3931,1.40896,1.42515,1.44168,1.4585,1.47562,1.49299,1.5106,1.52842,1.54641,1.56455,1.58281,1.60115,1.61953,1.63791,1.65625,1.67452,1.69267,1.71067,1.72845,1.74599,1.76325,1.78017,1.79671,1.81285,1.82853,1.84371,1.85838,1.87248,1.88599,1.89888,1.91113,1.92271,1.93361,1.94381,1.95331,1.9621,1.97017,1.97752,1.98418,1.99013,1.9954,2,2.00395,2.00727,2.00999,2.01213,2.01373,2.01481,2.0154,2.01553,2.01523,2.01454,2.01347,2.01207,2.01036,2.00836,2.00609,2.00358,2.00084,1.9979,1.99476,1.99143,1.98793,1.98425,1.9804,1.97638,1.97219,1.96782,1.96327,1.95851,1.95355,1.94836,1.94292,1.93723,1.93125,1.92495,1.91833,1.91134,1.90396,1.89616,1.8879,1.87915,1.86988,1.86003,1.84958,1.83847,1.82668,1.81414,1.80082,1.78667,1.77163,1.75566,1.73871,1.72072,1.70164,1.68143,1.66002,1.63738,1.61344,1.58817,1.56153,1.53346,1.50396,1.47297,1.44049,1.4065,1.37102,1.33403,1.29559,1.25572,1.21449,1.17198,1.12829,1.08354,1.03788,0.991475,0.944522,0.897235,0.849848,0.802613,0.755793,0.709656,0.664465,0.620478,0.577928,0.537021,0.497927,0.46077,0.42563,0.392536,0.361477,0.332402,0.305235},
{1.01265,1.01343,1.01425,1.01512,1.01603,1.01699,1.018,1.01906,1.02019,1.02137,1.02262,1.02394,1.02533,1.02679,1.02834,1.02997,1.03169,1.0335,1.03541,1.03742,1.03955,1.04179,1.04415,1.04663,1.04926,1.05202,1.05493,1.05799,1.06122,1.06461,1.06819,1.07195,1.07591,1.08008,1.08445,1.08905,1.09389,1.09896,1.10429,1.10989,1.11575,1.1219,1.12835,1.1351,1.14216,1.14956,1.15729,1.16536,1.17379,1.18259,1.19177,1.20132,1.21127,1.22162,1.23237,1.24354,1.25512,1.26711,1.27954,1.29238,1.30565,1.31934,1.33345,1.34797,1.3629,1.37823,1.39394,1.41004,1.42649,1.44329,1.46042,1.47785,1.49557,1.51354,1.53175,1.55015,1.56873,1.58744,1.60626,1.62514,1.64405,1.66294,1.68178,1.70052,1.71911,1.73753,1.75571,1.77362,1.79122,1.80845,1.82529,1.84167,1.85758,1.87296,1.88779,1.90203,1.91566,1.92863,1.94094,1.95257,1.96348,1.97369,1.98316,1.99192,1.99994,2.00724,2.01382,2.0197,2.0249,2.02942,2.03329,2.03654,2.03918,2.04126,2.04279,2.0438,2.04433,2.04441,2.04407,2.04333,2.04223,2.04079,2.03904,2.037,2.03469,2.03214,2.02935,2.02634,2.02312,2.0197,2.01609,2.01229,2.0083,2.00411,1.99973,1.99513,1.99032,1.98528,1.97999,1.97444,1.96861,1.96247,1.95601,1.94919,1.94199,1.93438,1.92633,1.9178,1.90876,1.89917,1.88899,1.87819,1.86671,1.85452,1.84157,1.82782,1.8132,1.79769,1.78122,1.76375,1.74522,1.72558,1.70478,1.68276,1.65949,1.63491,1.60898,1.58165,1.55289,1.52266,1.49094,1.45772,1.42298,1.38672,1.34897,1.30974,1.2691,1.22709,1.18381,1.13936,1.09386,1.04746,1.00035,0.952712,0.904772,0.856765,0.808947,0.761584,0.714945,0.669296,0.624891,0.581964,0.540718,0.501318,0.463887,0.428497,0.395175,0.363904,0.33463,0.307275},
{1.01249,1.01326,1.01408,1.01493,1.01583,1.01678,1.01778,1.01884,1.01995,1.02112,1.02236,1.02366,1.02504,1.02649,1.02802,1.02963,1.03133,1.03313,1.03502,1.03702,1.03912,1.04134,1.04368,1.04614,1.04874,1.05148,1.05436,1.0574,1.0606,1.06398,1.06753,1.07126,1.07519,1.07933,1.08368,1.08825,1.09306,1.09811,1.10342,1.10898,1.11483,1.12096,1.12738,1.13412,1.14117,1.14855,1.15627,1.16434,1.17277,1.18158,1.19076,1.20034,1.21031,1.22069,1.23148,1.2427,1.25434,1.26641,1.27891,1.29185,1.30523,1.31904,1.33329,1.34797,1.36307,1.37858,1.39451,1.41083,1.42753,1.4446,1.46201,1.47975,1.4978,1.51613,1.53472,1.55353,1.57253,1.59169,1.61098,1.63036,1.64979,1.66922,1.68862,1.70795,1.72715,1.74619,1.76502,1.78359,1.80186,1.81979,1.83732,1.85443,1.87105,1.88717,1.90274,1.91772,1.93208,1.9458,1.95885,1.9712,1.98284,1.99376,2.00395,2.01339,2.0221,2.03006,2.03729,2.0438,2.0496,2.0547,2.05914,2.06292,2.06608,2.06864,2.07063,2.07209,2.07303,2.07349,2.07351,2.0731,2.0723,2.07114,2.06964,2.06783,2.06572,2.06334,2.0607,2.05781,2.0547,2.05136,2.0478,2.04403,2.04004,2.03584,2.03142,2.02676,2.02187,2.01672,2.01131,2.00561,1.99961,1.99328,1.9866,1.97955,1.97209,1.9642,1.95584,1.94698,1.93759,1.92763,1.91705,1.90583,1.8939,1.88124,1.8678,1.85352,1.83836,1.82227,1.80521,1.78711,1.76793,1.74761,1.72611,1.70337,1.67935,1.654,1.62727,1.59912,1.56952,1.53844,1.50585,1.47173,1.4361,1.39893,1.36027,1.32014,1.27859,1.23568,1.19152,1.14621,1.09988,1.05268,1.00481,0.956457,0.907853,0.859241,0.810879,0.763036,0.715984,0.669986,0.625298,0.582146,0.540729,0.501205,0.463686,0.428238,0.394877,0.36358,0.334287,0.306915},
{1.01233,1.01309,1.01389,1.01474,1.01563,1.01657,1.01756,1.01861,1.01971,1.02087,1.02209,1.02338,1.02474,1.02617,1.02769,1.02928,1.03097,1.03274,1.03462,1.03659,1.03867,1.04087,1.04319,1.04563,1.0482,1.05092,1.05377,1.05679,1.05996,1.06331,1.06683,1.07053,1.07444,1.07854,1.08286,1.08741,1.09218,1.0972,1.10248,1.10802,1.11383,1.11994,1.12634,1.13305,1.14008,1.14745,1.15515,1.16321,1.17164,1.18044,1.18963,1.19922,1.20921,1.21961,1.23044,1.24169,1.25339,1.26552,1.2781,1.29112,1.3046,1.31852,1.3329,1.34772,1.36298,1.37868,1.3948,1.41133,1.42827,1.4456,1.46329,1.48134,1.49971,1.51839,1.53734,1.55655,1.57597,1.59558,1.61534,1.63521,1.65515,1.67513,1.69509,1.71501,1.73482,1.75449,1.77396,1.7932,1.81216,1.83078,1.84903,1.86686,1.88422,1.90108,1.9174,1.93313,1.94826,1.96273,1.97654,1.98964,2.00204,2.01369,2.02461,2.03477,2.04418,2.05283,2.06073,2.06789,2.07432,2.08004,2.08506,2.0894,2.0931,2.09618,2.09866,2.10057,2.10195,2.10283,2.10322,2.10317,2.1027,2.10184,2.10061,2.09905,2.09716,2.09498,2.09251,2.08977,2.08678,2.08354,2.08006,2.07634,2.07239,2.06819,2.06375,2.05907,2.05412,2.04889,2.04338,2.03756,2.03142,2.02493,2.01808,2.01082,2.00314,1.99501,1.98639,1.97725,1.96756,1.95727,1.94635,1.93476,1.92246,1.90939,1.89552,1.88079,1.86516,1.84858,1.831,1.81237,1.79264,1.77175,1.74965,1.7263,1.70164,1.67563,1.64822,1.61938,1.58907,1.55726,1.52393,1.48906,1.45266,1.41473,1.37528,1.33437,1.29203,1.24835,1.20341,1.15733,1.11024,1.06232,1.01373,0.964697,0.915441,0.86621,0.817268,0.768884,0.721332,0.674878,0.629774,0.586246,0.544491,0.504661,0.466865,0.431164,0.39757,0.366056,0.336559,0.308995},
{1.01216,1.01291,1.01371,1.01455,1.01543,1.01636,1.01734,1.01837,1.01946,1.0206,1.02181,1.02309,1.02443,1.02585,1.02735,1.02892,1.03059,1.03235,1.0342,1.03615,1.03821,1.04039,1.04268,1.04509,1.04764,1.05033,1.05316,1.05614,1.05929,1.0626,1.06609,1.06977,1.07364,1.07771,1.082,1.08651,1.09125,1.09624,1.10148,1.10699,1.11277,1.11885,1.12522,1.1319,1.13891,1.14625,1.15393,1.16198,1.17039,1.17919,1.18837,1.19796,1.20796,1.21838,1.22923,1.24052,1.25225,1.26443,1.27707,1.29018,1.30374,1.31777,1.33226,1.34721,1.36262,1.37849,1.39479,1.41153,1.4287,1.44627,1.46423,1.48257,1.50126,1.52027,1.53959,1.55919,1.57902,1.59907,1.61929,1.63964,1.6601,1.68061,1.70114,1.72163,1.74205,1.76235,1.78247,1.80238,1.82202,1.84135,1.86031,1.87887,1.89698,1.9146,1.93167,1.94818,1.96407,1.97932,1.99389,2.00777,2.02093,2.03334,2.045,2.0559,2.06603,2.07539,2.08398,2.09181,2.09889,2.10524,2.11086,2.1158,2.12005,2.12366,2.12665,2.12904,2.13087,2.13217,2.13297,2.13328,2.13316,2.13261,2.13167,2.13037,2.12872,2.12674,2.12445,2.12187,2.11901,2.11588,2.11248,2.10882,2.1049,2.10072,2.09627,2.09155,2.08654,2.08124,2.07563,2.0697,2.06341,2.05677,2.04973,2.04227,2.03437,2.02599,2.01711,2.00768,1.99768,1.98707,1.97581,1.96385,1.95115,1.93767,1.92337,1.90819,1.89209,1.87502,1.85692,1.83775,1.81746,1.79599,1.77329,1.74932,1.72402,1.69735,1.66926,1.63973,1.6087,1.57616,1.54209,1.50647,1.4693,1.43058,1.39036,1.34866,1.30553,1.26106,1.21535,1.1685,1.12066,1.072,1.0227,0.972985,0.923075,0.873225,0.823701,0.774776,0.726725,0.679813,0.634292,0.590388,0.548292,0.508155,0.47008,0.434124,0.400295,0.368561,0.338858,0.311099},
{1.01199,1.01273,1.01352,1.01435,1.01522,1.01614,1.0171,1.01812,1.0192,1.02033,1.02152,1.02278,1.02411,1.02552,1.02699,1.02855,1.0302,1.03193,1.03377,1.0357,1.03773,1.03988,1.04215,1.04454,1.04706,1.04972,1.05252,1.05548,1.05859,1.06187,1.06533,1.06897,1.0728,1.07684,1.08109,1.08557,1.09027,1.09522,1.10043,1.1059,1.11165,1.11768,1.12402,1.13067,1.13764,1.14496,1.15261,1.16064,1.16903,1.17781,1.18698,1.19656,1.20656,1.21699,1.22785,1.23916,1.25092,1.26315,1.27584,1.28901,1.30265,1.31677,1.33136,1.34644,1.36199,1.378,1.39448,1.41142,1.42879,1.4466,1.46482,1.48343,1.50242,1.52177,1.54144,1.5614,1.58164,1.60211,1.62279,1.64362,1.66458,1.68562,1.7067,1.72778,1.7488,1.76972,1.79049,1.81106,1.83139,1.85143,1.87111,1.89041,1.90927,1.92764,1.94549,1.96277,1.97944,1.99547,2.01083,2.02548,2.03942,2.0526,2.06502,2.07667,2.08754,2.09762,2.10692,2.11543,2.12318,2.13018,2.13643,2.14196,2.14679,2.15094,2.15445,2.15734,2.15964,2.16137,2.16257,2.16327,2.1635,2.16328,2.16263,2.16159,2.16018,2.15841,2.15631,2.15389,2.15115,2.14813,2.14481,2.1412,2.13731,2.13313,2.12866,2.1239,2.11883,2.11344,2.10771,2.10164,2.0952,2.08837,2.08113,2.07345,2.0653,2.05665,2.04747,2.03774,2.0274,2.01643,2.00478,1.99241,1.97929,1.96536,1.95058,1.93491,1.91829,1.90067,1.88201,1.86225,1.84134,1.81923,1.79588,1.77122,1.74522,1.71782,1.689,1.65869,1.62689,1.59355,1.55866,1.52221,1.48421,1.44465,1.40357,1.36102,1.31705,1.27174,1.22519,1.17753,1.1289,1.07948,1.02945,0.97903,0.928467,0.87801,0.82793,0.778501,0.729999,0.68269,0.636825,0.592624,0.550274,0.509921,0.471662,0.435546,0.401575,0.369713,0.339891,0.31202},
{1.01181,1.01255,1.01332,1.01414,1.015,1.01591,1.01686,1.01787,1.01893,1.02005,1.02123,1.02247,1.02379,1.02517,1.02663,1.02817,1.0298,1.03151,1.03332,1.03523,1.03724,1.03936,1.0416,1.04396,1.04646,1.04908,1.05186,1.05478,1.05786,1.0611,1.06452,1.06813,1.07193,1.07592,1.08014,1.08457,1.08924,1.09415,1.09931,1.10474,1.11045,1.11644,1.12274,1.12935,1.13629,1.14356,1.15119,1.15918,1.16754,1.1763,1.18545,1.19502,1.20501,1.21543,1.2263,1.23762,1.24941,1.26166,1.2744,1.28762,1.30132,1.31552,1.33021,1.34539,1.36106,1.37722,1.39386,1.41098,1.42855,1.44658,1.46504,1.48393,1.50321,1.52286,1.54287,1.56321,1.58384,1.60473,1.62585,1.64715,1.66861,1.69018,1.71181,1.73346,1.75508,1.77663,1.79805,1.81929,1.84031,1.86106,1.88147,1.90151,1.92113,1.94027,1.9589,1.97697,1.99444,2.01127,2.02743,2.04288,2.05761,2.07159,2.08479,2.09722,2.10884,2.11967,2.1297,2.13893,2.14738,2.15504,2.16194,2.1681,2.17353,2.17826,2.18232,2.18573,2.18852,2.19072,2.19236,2.19346,2.19407,2.19419,2.19387,2.19312,2.19198,2.19045,2.18855,2.18631,2.18374,2.18084,2.17763,2.1741,2.17027,2.16612,2.16166,2.15688,2.15178,2.14633,2.14053,2.13435,2.12779,2.12082,2.11341,2.10555,2.09719,2.08832,2.07891,2.06891,2.05829,2.04701,2.03505,2.02234,2.00886,1.99455,1.97938,1.96329,1.94623,1.92816,1.90903,1.88877,1.86736,1.84472,1.82082,1.79559,1.76901,1.74101,1.71157,1.68063,1.64817,1.61417,1.5786,1.54146,1.50275,1.46248,1.42069,1.3774,1.3327,1.28666,1.23938,1.191,1.14165,1.09151,1.04079,0.989695,0.938475,0.887385,0.836697,0.786688,0.737636,0.689807,0.643452,0.598791,0.556011,0.515254,0.476615,0.440142,0.405835,0.373654,0.343529,0.315373},
{1.01163,1.01236,1.01312,1.01393,1.01478,1.01567,1.01662,1.01761,1.01866,1.01976,1.02093,1.02215,1.02345,1.02481,1.02626,1.02778,1.02938,1.03107,1.03286,1.03474,1.03673,1.03882,1.04104,1.04337,1.04583,1.04843,1.05116,1.05405,1.0571,1.0603,1.06369,1.06725,1.07101,1.07497,1.07914,1.08353,1.08815,1.09301,1.09813,1.10352,1.10918,1.11513,1.12138,1.12795,1.13484,1.14207,1.14966,1.15761,1.16594,1.17466,1.18379,1.19333,1.2033,1.21371,1.22457,1.2359,1.24769,1.25997,1.27273,1.28599,1.29975,1.31401,1.32878,1.34405,1.35984,1.37612,1.39291,1.41019,1.42795,1.44619,1.46488,1.48401,1.50357,1.52353,1.54387,1.56456,1.58556,1.60686,1.62841,1.65018,1.67212,1.69421,1.71638,1.7386,1.76081,1.78298,1.80504,1.82695,1.84866,1.87011,1.89126,1.91205,1.93242,1.95234,1.97176,1.99062,2.00889,2.02653,2.0435,2.05977,2.0753,2.09008,2.10409,2.1173,2.1297,2.14129,2.15207,2.16203,2.17118,2.17954,2.1871,2.1939,2.19995,2.20527,2.2099,2.21384,2.21714,2.21981,2.2219,2.22342,2.22441,2.2249,2.22491,2.22446,2.22358,2.22229,2.22061,2.21856,2.21614,2.21337,2.21026,2.20681,2.20303,2.19891,2.19445,2.18965,2.1845,2.17898,2.17308,2.1668,2.1601,2.15296,2.14537,2.1373,2.12873,2.11961,2.10992,2.09963,2.0887,2.0771,2.06478,2.0517,2.03782,2.0231,2.00749,1.99094,1.9734,1.95483,1.93517,1.91438,1.8924,1.86918,1.84467,1.81883,1.7916,1.76294,1.73281,1.70117,1.668,1.63326,1.59695,1.55905,1.51956,1.47851,1.43593,1.39186,1.34636,1.29953,1.25147,1.20231,1.15221,1.10134,1.0499,0.998117,0.946241,0.89453,0.843259,0.792708,0.743155,0.694867,0.648094,0.603053,0.559929,0.518859,0.479935,0.443201,0.40865,0.376241,0.345902,0.317543},
{1.01145,1.01216,1.01292,1.01372,1.01455,1.01544,1.01637,1.01735,1.01838,1.01947,1.02062,1.02183,1.0231,1.02445,1.02587,1.02737,1.02895,1.03062,1.03238,1.03424,1.0362,1.03827,1.04045,1.04275,1.04518,1.04775,1.05045,1.0533,1.05631,1.05948,1.06282,1.06634,1.07006,1.07397,1.07809,1.08244,1.08701,1.09183,1.0969,1.10223,1.10784,1.11374,1.11994,1.12646,1.1333,1.14048,1.14802,1.15593,1.16421,1.1729,1.18198,1.19149,1.20144,1.21182,1.22267,1.23398,1.24578,1.25806,1.27084,1.28412,1.29792,1.31223,1.32707,1.34242,1.3583,1.3747,1.39162,1.40905,1.42698,1.4454,1.46431,1.48368,1.5035,1.52374,1.54439,1.56542,1.58679,1.60848,1.63045,1.65266,1.67508,1.69767,1.72037,1.74315,1.76595,1.78872,1.81142,1.834,1.85639,1.87854,1.90041,1.92194,1.94308,1.96378,1.98398,2.00364,2.02272,2.04117,2.05896,2.07604,2.0924,2.10799,2.1228,2.13681,2.15,2.16237,2.17391,2.18461,2.19449,2.20354,2.21179,2.21924,2.22592,2.23185,2.23704,2.24153,2.24535,2.24851,2.25105,2.253,2.25439,2.25524,2.25558,2.25543,2.25482,2.25378,2.25231,2.25044,2.24817,2.24553,2.24251,2.23913,2.23539,2.23128,2.22681,2.22197,2.21675,2.21115,2.20513,2.19871,2.19184,2.18452,2.17672,2.16841,2.15957,2.15017,2.14017,2.12955,2.11827,2.10628,2.09356,2.08006,2.06573,2.05053,2.03442,2.01735,1.99927,1.98013,1.95987,1.93846,1.91584,1.89195,1.86675,1.84019,1.81223,1.78281,1.7519,1.71947,1.68547,1.6499,1.61274,1.57397,1.53362,1.49169,1.44822,1.40327,1.35689,1.30919,1.26028,1.21028,1.15937,1.10772,1.05554,1.00307,0.950546,0.898241,0.846433,0.795403,0.745431,0.696782,0.649704,0.604409,0.561076,0.519837,0.480774,0.443923,0.409272,0.376775,0.346354,0.317918},
{1.01126,1.01197,1.01271,1.0135,1.01432,1.01519,1.01611,1.01707,1.01809,1.01916,1.0203,1.02149,1.02275,1.02407,1.02547,1.02695,1.02851,1.03016,1.03189,1.03372,1.03565,1.03769,1.03985,1.04212,1.04451,1.04704,1.0497,1.05252,1.05548,1.05861,1.06191,1.06539,1.06906,1.07292,1.077,1.08129,1.08581,1.09058,1.09559,1.10087,1.10642,1.11227,1.11841,1.12487,1.13166,1.13879,1.14627,1.15412,1.16236,1.17099,1.18003,1.1895,1.19941,1.20976,1.22058,1.23187,1.24365,1.25593,1.26871,1.28201,1.29583,1.31018,1.32507,1.34049,1.35645,1.37294,1.38998,1.40754,1.42563,1.44423,1.46333,1.48293,1.50299,1.52351,1.54445,1.5658,1.58752,1.60959,1.63197,1.65462,1.67751,1.70059,1.72382,1.74714,1.77053,1.79391,1.81725,1.84048,1.86356,1.88642,1.90902,1.9313,1.95321,1.97469,1.9957,2.01617,2.03607,2.05535,2.07398,2.0919,2.10909,2.12552,2.14117,2.156,2.17001,2.18318,2.1955,2.20698,2.21761,2.2274,2.23636,2.2445,2.25184,2.2584,2.26421,2.26928,2.27365,2.27733,2.28037,2.28278,2.28459,2.28584,2.28655,2.28675,2.28645,2.28568,2.28446,2.28281,2.28074,2.27826,2.27538,2.27211,2.26845,2.26441,2.25997,2.25514,2.24991,2.24426,2.23819,2.23168,2.22472,2.21727,2.20932,2.20085,2.19183,2.18222,2.172,2.16113,2.14959,2.13732,2.1243,2.11048,2.09581,2.08026,2.06378,2.04632,2.02783,2.00826,1.98756,1.96569,1.94259,1.91821,1.89249,1.8654,1.83689,1.8069,1.77541,1.74238,1.70778,1.67158,1.63377,1.59435,1.55332,1.51071,1.46656,1.4209,1.37383,1.32542,1.27579,1.22509,1.17347,1.12112,1.06825,1.01509,0.961903,0.90895,0.856513,0.804876,0.75432,0.705112,0.6575,0.611697,0.56788,0.526181,0.486681,0.449415,0.41437,0.381498,0.350721,0.321949},
{1.01107,1.01176,1.0125,1.01327,1.01409,1.01494,1.01585,1.0168,1.0178,1.01886,1.01997,1.02115,1.02238,1.02369,1.02507,1.02653,1.02806,1.02968,1.03139,1.03319,1.0351,1.03711,1.03922,1.04146,1.04382,1.04631,1.04894,1.05171,1.05464,1.05772,1.06098,1.06441,1.06803,1.07184,1.07586,1.0801,1.08457,1.08928,1.09423,1.09945,1.10495,1.11073,1.11681,1.12321,1.12993,1.137,1.14442,1.15221,1.16039,1.16896,1.17795,1.18736,1.19722,1.20753,1.21831,1.22957,1.24132,1.25358,1.26635,1.27965,1.29348,1.30785,1.32277,1.33824,1.35426,1.37084,1.38797,1.40565,1.42387,1.44263,1.46191,1.48171,1.502,1.52277,1.54399,1.56564,1.5877,1.61012,1.63289,1.65596,1.6793,1.70285,1.72658,1.75045,1.7744,1.79837,1.82233,1.84621,1.86996,1.89352,1.91684,1.93986,1.96253,1.98479,2.00659,2.02787,2.04859,2.0687,2.08816,2.10692,2.12495,2.14222,2.15869,2.17435,2.18918,2.20315,2.21627,2.22852,2.23991,2.25043,2.26011,2.26894,2.27695,2.28415,2.29056,2.29622,2.30113,2.30534,2.30886,2.31173,2.31397,2.31561,2.31668,2.3172,2.3172,2.3167,2.31571,2.31426,2.31235,2.31001,2.30724,2.30405,2.30044,2.29642,2.29198,2.28711,2.28182,2.27608,2.2699,2.26325,2.25611,2.24847,2.24031,2.23159,2.2223,2.2124,2.20186,2.19065,2.17874,2.16609,2.15265,2.13838,2.12325,2.10721,2.09022,2.07222,2.05316,2.033,2.01169,1.98918,1.96541,1.94034,1.91391,1.88608,1.8568,1.82603,1.79374,1.75988,1.72442,1.68736,1.64867,1.60835,1.56642,1.5229,1.47783,1.43126,1.38328,1.33398,1.28348,1.23192,1.17948,1.12635,1.07273,1.01888,0.965058,0.911526,0.858573,0.806486,0.755544,0.706013,0.658139,0.612127,0.568149,0.526327,0.486735,0.449399,0.414298,0.38138,0.350562,0.321751}
};
//LS X coefficient for A=atomic weight * 1.05
double ls_X_coefficients_ahi[][200]=
{
{0.999182,0.999124,0.999062,0.998995,0.998925,0.998851,0.998772,0.998688,0.998598,0.998504,0.998404,0.998297,0.998184,0.998064,0.997937,0.997802,0.997659,0.997507,0.997346,0.997175,0.996994,0.996802,0.996598,0.996382,0.996153,0.99591,0.995653,0.995381,0.995092,0.994785,0.994461,0.994117,0.993753,0.993367,0.992958,0.992526,0.992067,0.991582,0.991068,0.990524,0.989948,0.989338,0.988693,0.988011,0.987289,0.986525,0.985717,0.984863,0.98396,0.983005,0.981996,0.98093,0.979804,0.978614,0.977358,0.976032,0.974632,0.973155,0.971597,0.969955,0.968223,0.966397,0.964474,0.962449,0.960317,0.958074,0.955714,0.953233,0.950626,0.947887,0.945012,0.941995,0.938832,0.935516,0.932044,0.928409,0.924608,0.920635,0.916485,0.912155,0.90764,0.902937,0.898042,0.892952,0.887666,0.88218,0.876495,0.870608,0.864522,0.858236,0.851752,0.845074,0.838206,0.831151,0.823917,0.81651,0.808938,0.801211,0.79334,0.785335,0.77721,0.768979,0.760656,0.752258,0.7438,0.735302,0.72678,0.718255,0.709743,0.701267,0.692844,0.684494,0.676236,0.668089,0.660071,0.6522,0.644492,0.636962,0.629625,0.622494,0.61558,0.608893,0.602443,0.596236,0.590278,0.584572,0.579122,0.573929,0.568991,0.564308,0.559876,0.555692,0.55175,0.548044,0.544568,0.541314,0.538273,0.535438,0.5328,0.53035,0.528077,0.525973,0.524029,0.522235,0.520583,0.519062,0.517665,0.516384,0.515209,0.514135,0.513152,0.512254,0.511434,0.510686,0.510005,0.509383,0.508817,0.508302,0.507831,0.507403,0.507011,0.506653,0.506325,0.506024,0.505746,0.505489,0.50525,0.505026,0.504815,0.504615,0.504423,0.504237,0.504055,0.503874,0.503693,0.503509,0.50332,0.503124,0.502918,0.502699,0.502465,0.502213,0.501939,0.501641,0.501313,0.500953,0.500554,0.500113,0.499624,0.49908,0.498474,0.4978,0.497047,0.496207,0.495269,0.494222,0.493052,0.491747,0.490288,0.48866},
{0.999599,0.999546,0.999489,0.999428,0.999363,0.999294,0.999221,0.999143,0.99906,0.998971,0.998877,0.998778,0.998671,0.998558,0.998438,0.998311,0.998175,0.998031,0.997878,0.997716,0.997543,0.99736,0.997165,0.996959,0.99674,0.996507,0.99626,0.995998,0.99572,0.995425,0.995112,0.99478,0.994428,0.994054,0.993659,0.993239,0.992795,0.992323,0.991824,0.991295,0.990734,0.990141,0.989512,0.988846,0.988141,0.987395,0.986605,0.98577,0.984886,0.983951,0.982962,0.981917,0.980812,0.979644,0.978411,0.977108,0.975732,0.974279,0.972746,0.971129,0.969423,0.967625,0.965729,0.963732,0.961629,0.959416,0.957086,0.954636,0.95206,0.949354,0.946512,0.943529,0.9404,0.93712,0.933684,0.930086,0.926322,0.922387,0.918276,0.913985,0.90951,0.904848,0.899994,0.894946,0.889702,0.884259,0.878617,0.872775,0.866732,0.860491,0.854053,0.847421,0.840598,0.833589,0.826401,0.81904,0.811514,0.803834,0.796008,0.78805,0.77997,0.771785,0.763507,0.755153,0.74674,0.738286,0.729807,0.721324,0.712855,0.704419,0.696036,0.687725,0.679505,0.671395,0.663414,0.655577,0.647903,0.640406,0.6331,0.625999,0.619114,0.612455,0.606031,0.599848,0.593914,0.588231,0.582802,0.577628,0.572709,0.568043,0.563628,0.559458,0.55553,0.551837,0.548372,0.545128,0.542097,0.539271,0.536639,0.534195,0.531927,0.529827,0.527886,0.526094,0.524442,0.522921,0.521522,0.520238,0.519059,0.517979,0.516989,0.516083,0.515253,0.514493,0.513798,0.513161,0.512576,0.51204,0.511546,0.51109,0.510669,0.510277,0.50991,0.509566,0.50924,0.508929,0.508629,0.508337,0.50805,0.507765,0.507477,0.507184,0.506881,0.506566,0.506235,0.505883,0.505505,0.505098,0.504656,0.504173,0.503643,0.50306,0.502417,0.501704,0.500915,0.500037,0.499061,0.497975,0.496766,0.495418,0.493916,0.492242,0.490376,0.488297,0.485981,0.483402,0.480533,0.477343,0.4738,0.469868},
{1.00017,1.00012,1.00007,1.00002,0.999959,0.999897,0.99983,0.999759,0.999682,0.999601,0.999514,0.999421,0.999322,0.999217,0.999104,0.998984,0.998857,0.998721,0.998576,0.998422,0.998258,0.998083,0.997898,0.997701,0.997491,0.997268,0.997031,0.996779,0.996512,0.996228,0.995926,0.995606,0.995266,0.994905,0.994522,0.994115,0.993684,0.993226,0.992741,0.992226,0.991681,0.991103,0.99049,0.98984,0.989152,0.988423,0.987652,0.986834,0.985969,0.985054,0.984085,0.98306,0.981976,0.98083,0.979618,0.978338,0.976985,0.975557,0.974048,0.972456,0.970776,0.969004,0.967136,0.965167,0.963092,0.960907,0.958608,0.956188,0.953644,0.95097,0.94816,0.945211,0.942116,0.938871,0.935469,0.931908,0.92818,0.924283,0.92021,0.915958,0.911523,0.9069,0.902087,0.897081,0.891878,0.886478,0.880878,0.875079,0.869081,0.862884,0.85649,0.849902,0.843124,0.836161,0.829018,0.821702,0.814222,0.806587,0.798807,0.790893,0.782859,0.774718,0.766485,0.758175,0.749806,0.741394,0.732958,0.724516,0.716087,0.707692,0.699348,0.691075,0.682893,0.67482,0.666873,0.659071,0.65143,0.643965,0.63669,0.629618,0.622761,0.616129,0.609731,0.603573,0.597662,0.592001,0.586593,0.581439,0.576538,0.571889,0.56749,0.563335,0.559421,0.55574,0.552287,0.549053,0.546032,0.543214,0.54059,0.538152,0.53589,0.533794,0.531857,0.530067,0.528417,0.526896,0.525498,0.524212,0.523031,0.521947,0.520952,0.520039,0.519202,0.518434,0.517728,0.517079,0.51648,0.515928,0.515415,0.514939,0.514494,0.514075,0.513679,0.513301,0.512937,0.512583,0.512236,0.511891,0.511544,0.511191,0.510828,0.510451,0.510054,0.509634,0.509185,0.508701,0.508176,0.507604,0.506978,0.506289,0.50553,0.50469,0.50376,0.502728,0.501582,0.500307,0.498889,0.49731,0.495552,0.493595,0.491416,0.488992,0.486294,0.483295,0.479964,0.476266,0.472165,0.467623,0.4626,0.457054},
{1.00086,1.00082,1.00078,1.00073,1.00069,1.00063,1.00058,1.00051,1.00045,1.00038,1.0003,1.00021,1.00012,1.00003,0.999924,0.999813,0.999695,0.999568,0.999433,0.999288,0.999134,0.998969,0.998793,0.998606,0.998406,0.998193,0.997967,0.997726,0.997469,0.997196,0.996906,0.996598,0.996269,0.995921,0.99555,0.995157,0.994739,0.994295,0.993823,0.993323,0.992793,0.99223,0.991632,0.990999,0.990327,0.989615,0.988861,0.988062,0.987215,0.986318,0.985369,0.984364,0.983301,0.982176,0.980986,0.979728,0.978398,0.976993,0.975508,0.973941,0.972286,0.97054,0.968699,0.966757,0.96471,0.962554,0.960284,0.957895,0.955381,0.952738,0.949961,0.947044,0.943983,0.940771,0.937405,0.933879,0.930188,0.926327,0.922292,0.918078,0.913682,0.909099,0.904325,0.899359,0.894198,0.888839,0.883282,0.877525,0.87157,0.865416,0.859066,0.852522,0.845788,0.838869,0.831771,0.8245,0.817065,0.809474,0.801738,0.793869,0.785879,0.777782,0.769592,0.761326,0.752999,0.744629,0.736235,0.727834,0.719445,0.711089,0.702784,0.694549,0.686403,0.678365,0.670453,0.662685,0.655076,0.647642,0.640397,0.633354,0.626525,0.61992,0.613547,0.607413,0.601525,0.595886,0.590498,0.585363,0.580481,0.575849,0.571465,0.567325,0.563425,0.559757,0.556315,0.553093,0.550081,0.547272,0.544656,0.542225,0.539969,0.537879,0.535946,0.53416,0.532512,0.530994,0.529596,0.528311,0.527129,0.526044,0.525047,0.524131,0.52329,0.522516,0.521804,0.521147,0.520539,0.519976,0.519452,0.518962,0.518501,0.518064,0.517648,0.517247,0.516857,0.516475,0.516095,0.515713,0.515325,0.514927,0.514513,0.514078,0.513618,0.513126,0.512597,0.512023,0.511399,0.510715,0.509964,0.509136,0.508222,0.507209,0.506086,0.504839,0.503454,0.501913,0.500199,0.498292,0.49617,0.493809,0.491184,0.488265,0.485024,0.481427,0.477438,0.473019,0.468131,0.462732,0.456779,0.450227},
{1.00162,1.0016,1.00157,1.00154,1.00151,1.00147,1.00143,1.00138,1.00132,1.00127,1.0012,1.00113,1.00105,1.00097,1.00088,1.00078,1.00067,1.00056,1.00043,1.0003,1.00016,1,0.99984,0.999664,0.999476,0.999275,0.99906,0.998831,0.998587,0.998326,0.998048,0.997752,0.997436,0.997101,0.996743,0.996363,0.995959,0.995529,0.995072,0.994586,0.99407,0.993523,0.992941,0.992324,0.991668,0.990973,0.990236,0.989455,0.988626,0.987748,0.986818,0.985833,0.98479,0.983685,0.982517,0.981281,0.979973,0.978591,0.977131,0.975587,0.973958,0.972237,0.970422,0.968507,0.966488,0.96436,0.962118,0.959758,0.957275,0.954663,0.951917,0.949033,0.946004,0.942827,0.939495,0.936003,0.932348,0.928523,0.924525,0.920349,0.91599,0.911446,0.906712,0.901786,0.896665,0.891347,0.885831,0.880116,0.874203,0.868092,0.861784,0.855284,0.848593,0.841718,0.834663,0.827436,0.820045,0.812498,0.804806,0.79698,0.789033,0.780979,0.772832,0.764608,0.756323,0.747994,0.73964,0.731279,0.72293,0.714612,0.706344,0.698146,0.690036,0.682033,0.674155,0.66642,0.658842,0.651439,0.644223,0.637209,0.630407,0.623827,0.617479,0.611369,0.605503,0.599885,0.594517,0.589401,0.584536,0.579921,0.575553,0.571428,0.567541,0.563885,0.560455,0.557243,0.554241,0.551441,0.548833,0.546409,0.544159,0.542074,0.540146,0.538364,0.536719,0.535203,0.533807,0.532522,0.531341,0.530255,0.529256,0.528337,0.527493,0.526714,0.525996,0.525333,0.524718,0.524145,0.52361,0.523108,0.522633,0.522181,0.521747,0.521326,0.520914,0.520506,0.520098,0.519685,0.519261,0.518823,0.518364,0.517879,0.517363,0.516808,0.516209,0.515557,0.514845,0.514064,0.513204,0.512255,0.511206,0.510043,0.508752,0.507319,0.505727,0.503956,0.501987,0.499797,0.497363,0.494656,0.49165,0.488312,0.484609,0.480505,0.475962,0.47094,0.465395,0.459285,0.452567,0.445192},
{1.00243,1.00243,1.00242,1.00241,1.00239,1.00237,1.00235,1.00232,1.00228,1.00224,1.00219,1.00214,1.00208,1.00201,1.00194,1.00185,1.00176,1.00166,1.00155,1.00144,1.00131,1.00117,1.00102,1.00086,1.00069,1.0005,1.0003,1.00008,0.999853,0.999606,0.999342,0.99906,0.998759,0.998438,0.998095,0.997729,0.99734,0.996925,0.996483,0.996012,0.995512,0.99498,0.994415,0.993814,0.993175,0.992498,0.991778,0.991014,0.990204,0.989345,0.988434,0.987468,0.986445,0.985362,0.984214,0.983,0.981715,0.980355,0.978918,0.977399,0.975794,0.974098,0.972309,0.97042,0.968428,0.966328,0.964115,0.961784,0.95933,0.956748,0.954033,0.951181,0.948184,0.94504,0.941741,0.938284,0.934664,0.930875,0.926913,0.922774,0.918453,0.913946,0.909251,0.904364,0.899282,0.894005,0.888529,0.882856,0.876984,0.870914,0.864649,0.858191,0.851543,0.84471,0.837698,0.830514,0.823165,0.815661,0.808012,0.800229,0.792325,0.784312,0.776207,0.768024,0.75978,0.751492,0.743177,0.734855,0.726545,0.718264,0.710033,0.701871,0.693796,0.685827,0.677982,0.670278,0.662732,0.655358,0.648171,0.641184,0.634409,0.627855,0.62153,0.615443,0.609599,0.604002,0.598654,0.593556,0.588709,0.58411,0.579757,0.575646,0.571772,0.56813,0.564711,0.561509,0.558517,0.555725,0.553125,0.550708,0.548465,0.546386,0.544462,0.542685,0.541044,0.539531,0.538137,0.536853,0.535673,0.534587,0.533587,0.532668,0.531821,0.53104,0.530318,0.52965,0.52903,0.528451,0.527909,0.527398,0.526913,0.526449,0.526002,0.525567,0.525138,0.524712,0.524282,0.523845,0.523395,0.522927,0.522435,0.521913,0.521355,0.520755,0.520103,0.519394,0.518617,0.517764,0.516825,0.515787,0.514638,0.513364,0.511951,0.510382,0.508638,0.5067,0.504545,0.50215,0.499488,0.496531,0.49325,0.489609,0.485575,0.481109,0.476171,0.47072,0.464711,0.458102,0.450846,0.442898},
{1.00324,1.00327,1.00328,1.0033,1.0033,1.00331,1.00331,1.0033,1.00329,1.00327,1.00324,1.00321,1.00317,1.00313,1.00307,1.00301,1.00294,1.00286,1.00277,1.00267,1.00256,1.00245,1.00231,1.00217,1.00202,1.00185,1.00166,1.00147,1.00125,1.00102,1.00078,1.00051,1.00023,0.999922,0.999595,0.999246,0.998873,0.998475,0.998049,0.997596,0.997113,0.996598,0.996049,0.995466,0.994845,0.994185,0.993484,0.992739,0.991947,0.991107,0.990216,0.98927,0.988268,0.987205,0.986079,0.984886,0.983623,0.982286,0.980872,0.979377,0.977796,0.976126,0.974361,0.972499,0.970533,0.968461,0.966275,0.963973,0.961548,0.958996,0.956312,0.95349,0.950526,0.947414,0.944148,0.940725,0.937139,0.933385,0.929458,0.925355,0.921071,0.916602,0.911944,0.907096,0.902053,0.896815,0.891379,0.885746,0.879914,0.873886,0.867661,0.861245,0.854638,0.847848,0.840878,0.833735,0.826429,0.818966,0.811359,0.803618,0.795755,0.787784,0.779719,0.771576,0.763372,0.755123,0.746848,0.738564,0.73029,0.722046,0.713851,0.705724,0.697683,0.689747,0.681934,0.674261,0.666745,0.6594,0.652241,0.645281,0.638531,0.632001,0.625701,0.619636,0.613813,0.608235,0.602906,0.597826,0.592996,0.588413,0.584074,0.579977,0.576116,0.572484,0.569076,0.565884,0.562901,0.560117,0.557524,0.555114,0.552876,0.550802,0.548882,0.547108,0.545469,0.543958,0.542565,0.541281,0.5401,0.539012,0.53801,0.537087,0.536236,0.53545,0.534722,0.534046,0.533416,0.532827,0.532273,0.531748,0.531248,0.530767,0.5303,0.529842,0.529388,0.528933,0.528472,0.528,0.52751,0.526998,0.526456,0.525879,0.525259,0.524589,0.523861,0.523065,0.522193,0.521233,0.520174,0.519004,0.517707,0.51627,0.514675,0.512904,0.510936,0.50875,0.506321,0.503623,0.500627,0.497303,0.493617,0.489534,0.485015,0.480021,0.47451,0.468437,0.46176,0.454431,0.446408,0.437646},
{1.00405,1.0041,1.00415,1.00419,1.00422,1.00425,1.00428,1.0043,1.00431,1.00432,1.00432,1.00432,1.00431,1.00429,1.00426,1.00422,1.00418,1.00412,1.00406,1.00399,1.0039,1.00381,1.0037,1.00358,1.00345,1.0033,1.00314,1.00296,1.00277,1.00256,1.00233,1.00209,1.00182,1.00154,1.00123,1.0009,1.00055,1.00017,0.999763,0.999328,0.998864,0.998368,0.997839,0.997274,0.996673,0.996032,0.99535,0.994624,0.993853,0.993033,0.992162,0.991237,0.990255,0.989214,0.988109,0.986938,0.985698,0.984384,0.982994,0.981522,0.979966,0.97832,0.976581,0.974745,0.972806,0.97076,0.968602,0.966328,0.963932,0.96141,0.958756,0.955965,0.953031,0.949951,0.946718,0.943328,0.939776,0.936056,0.932165,0.928097,0.923849,0.919416,0.914796,0.909985,0.90498,0.899781,0.894384,0.88879,0.882998,0.877009,0.870826,0.864449,0.857884,0.851134,0.844205,0.837104,0.829838,0.822417,0.814851,0.80715,0.799327,0.791396,0.783371,0.775268,0.767103,0.758892,0.750654,0.742408,0.734171,0.725963,0.717802,0.709709,0.701701,0.693797,0.686016,0.678373,0.670886,0.663569,0.656438,0.649503,0.642778,0.636272,0.629994,0.623951,0.618148,0.61259,0.607279,0.602217,0.597402,0.592834,0.58851,0.584426,0.580577,0.576956,0.573559,0.570376,0.567401,0.564625,0.562039,0.559635,0.557402,0.555333,0.553417,0.551645,0.550009,0.548499,0.547106,0.545823,0.544641,0.543551,0.542547,0.54162,0.540764,0.539972,0.539237,0.538553,0.537914,0.537315,0.536748,0.536209,0.535693,0.535194,0.534707,0.534227,0.533748,0.533264,0.532771,0.532263,0.531733,0.531176,0.530584,0.529951,0.529269,0.528529,0.527723,0.526841,0.525872,0.524805,0.523627,0.522323,0.520879,0.519278,0.517501,0.515528,0.513337,0.510904,0.508203,0.505204,0.501878,0.498191,0.494108,0.489591,0.484598,0.47909,0.473022,0.466349,0.459028,0.451012,0.442259,0.432731},
{1.00483,1.00491,1.00499,1.00506,1.00513,1.00519,1.00525,1.0053,1.00534,1.00538,1.00542,1.00544,1.00546,1.00547,1.00548,1.00547,1.00546,1.00543,1.0054,1.00536,1.0053,1.00523,1.00515,1.00506,1.00495,1.00483,1.0047,1.00455,1.00438,1.0042,1.004,1.00378,1.00354,1.00327,1.00299,1.00268,1.00235,1.002,1.00161,1.0012,1.00076,1.00028,0.999774,0.999231,0.99865,0.998031,0.99737,0.996666,0.995916,0.995117,0.994268,0.993365,0.992405,0.991386,0.990304,0.989156,0.987939,0.986648,0.985281,0.983834,0.982302,0.980682,0.978969,0.977158,0.975246,0.973227,0.971097,0.968851,0.966484,0.963991,0.961366,0.958605,0.955703,0.952654,0.949454,0.946096,0.942577,0.938891,0.935034,0.931001,0.926788,0.922392,0.917808,0.913034,0.908067,0.902905,0.897546,0.891991,0.886238,0.880288,0.874144,0.867808,0.861282,0.854572,0.847683,0.840622,0.833397,0.826015,0.818489,0.810828,0.803045,0.795153,0.787167,0.779102,0.770974,0.762801,0.7546,0.746389,0.738188,0.730014,0.721888,0.713828,0.705852,0.69798,0.690228,0.682615,0.675156,0.667867,0.660761,0.653852,0.647151,0.640668,0.634411,0.628389,0.622606,0.617066,0.611773,0.606727,0.601927,0.597374,0.593063,0.588991,0.585153,0.581544,0.578156,0.574982,0.572014,0.569245,0.566665,0.564266,0.562037,0.559971,0.558058,0.556288,0.554652,0.553142,0.551749,0.550463,0.549278,0.548185,0.547175,0.546242,0.545379,0.544578,0.543833,0.543137,0.542485,0.541869,0.541285,0.540727,0.540188,0.539664,0.539149,0.538636,0.538121,0.537598,0.53706,0.536502,0.535917,0.535297,0.534636,0.533925,0.533156,0.53232,0.531406,0.530404,0.529302,0.528086,0.526743,0.525256,0.523608,0.521781,0.519754,0.517505,0.515008,0.512237,0.509163,0.505756,0.50198,0.497801,0.493179,0.488075,0.482446,0.476249,0.469438,0.461969,0.453798,0.444881,0.435181,0.424662},
{1.00559,1.0057,1.0058,1.00591,1.00601,1.0061,1.0062,1.00628,1.00636,1.00644,1.00651,1.00657,1.00662,1.00667,1.00671,1.00674,1.00676,1.00677,1.00677,1.00676,1.00674,1.0067,1.00666,1.0066,1.00652,1.00643,1.00633,1.00621,1.00608,1.00592,1.00575,1.00556,1.00535,1.00511,1.00486,1.00458,1.00427,1.00394,1.00358,1.0032,1.00278,1.00233,1.00184,1.00133,1.00077,1.00017,0.999537,0.998857,0.99813,0.997355,0.996529,0.995649,0.994713,0.993718,0.99266,0.991536,0.990343,0.989077,0.987735,0.986312,0.984806,0.983211,0.981524,0.97974,0.977854,0.975863,0.97376,0.971542,0.969204,0.96674,0.964145,0.961415,0.958543,0.955526,0.952357,0.949031,0.945545,0.941893,0.938069,0.934071,0.929893,0.925532,0.920984,0.916246,0.911316,0.906191,0.90087,0.895352,0.889637,0.883727,0.877621,0.871323,0.864837,0.858166,0.851316,0.844295,0.837108,0.829766,0.822278,0.814656,0.806912,0.799058,0.79111,0.783083,0.774992,0.766855,0.75869,0.750515,0.742348,0.734208,0.726115,0.718086,0.710142,0.7023,0.694578,0.686994,0.679562,0.6723,0.665219,0.658335,0.651657,0.645197,0.638962,0.632959,0.627196,0.621674,0.616398,0.611368,0.606585,0.602045,0.597748,0.593688,0.589862,0.586263,0.582885,0.57972,0.576761,0.573999,0.571426,0.569032,0.566809,0.564748,0.562838,0.561071,0.559438,0.55793,0.556538,0.555254,0.554068,0.552974,0.551963,0.551028,0.550161,0.549357,0.548607,0.547905,0.547246,0.546623,0.54603,0.545462,0.544911,0.544374,0.543844,0.543314,0.542781,0.542236,0.541675,0.54109,0.540475,0.539822,0.539124,0.538372,0.537557,0.536669,0.535699,0.534633,0.53346,0.532166,0.530736,0.529153,0.527399,0.525454,0.523296,0.520902,0.518246,0.5153,0.512034,0.508415,0.504409,0.499977,0.495081,0.489679,0.483727,0.477183,0.47,0.462133,0.453539,0.444177,0.434012,0.423011},
{1.0063,1.00644,1.00658,1.00672,1.00686,1.00699,1.00712,1.00724,1.00736,1.00747,1.00758,1.00768,1.00777,1.00785,1.00793,1.008,1.00806,1.00811,1.00815,1.00818,1.00819,1.0082,1.00819,1.00817,1.00813,1.00808,1.00801,1.00793,1.00783,1.00771,1.00757,1.00742,1.00724,1.00704,1.00681,1.00657,1.00629,1.00599,1.00566,1.00531,1.00492,1.0045,1.00404,1.00355,1.00302,1.00245,1.00184,1.00119,1.00049,0.999738,0.998938,0.998085,0.997174,0.996204,0.995172,0.994073,0.992906,0.991666,0.99035,0.988954,0.987473,0.985905,0.984245,0.982488,0.98063,0.978666,0.976592,0.974402,0.972093,0.969658,0.967093,0.964393,0.961552,0.958565,0.955428,0.952135,0.948681,0.945062,0.941272,0.937307,0.933164,0.928838,0.924325,0.919623,0.914729,0.90964,0.904356,0.898876,0.893198,0.887325,0.881257,0.874998,0.868549,0.861917,0.855106,0.848122,0.840974,0.83367,0.82622,0.818636,0.810929,0.803113,0.795201,0.78721,0.779156,0.771054,0.762924,0.754783,0.746649,0.738542,0.730481,0.722484,0.71457,0.706758,0.699064,0.691507,0.684102,0.676865,0.66981,0.662949,0.656293,0.649854,0.64364,0.637657,0.631912,0.626408,0.621148,0.616133,0.611364,0.606838,0.602553,0.598505,0.594689,0.5911,0.58773,0.584574,0.581621,0.578866,0.576298,0.573909,0.57169,0.569631,0.567724,0.565958,0.564326,0.562817,0.561424,0.560137,0.558949,0.55785,0.556834,0.555893,0.555019,0.554205,0.553445,0.552732,0.552059,0.55142,0.55081,0.550222,0.549649,0.549087,0.548528,0.547968,0.547399,0.546815,0.54621,0.545576,0.544906,0.544192,0.543425,0.542597,0.541697,0.540716,0.53964,0.538458,0.537156,0.535718,0.534128,0.532368,0.530418,0.528256,0.525859,0.5232,0.520253,0.516986,0.513368,0.509364,0.504935,0.500044,0.494648,0.488705,0.482169,0.474997,0.467144,0.458564,0.449218,0.439068,0.428082,0.416236},
{1.00697,1.00715,1.00733,1.0075,1.00767,1.00784,1.00801,1.00817,1.00832,1.00847,1.00862,1.00876,1.0089,1.00902,1.00914,1.00925,1.00935,1.00945,1.00953,1.0096,1.00966,1.00971,1.00974,1.00976,1.00977,1.00976,1.00973,1.00969,1.00963,1.00955,1.00945,1.00934,1.0092,1.00903,1.00885,1.00863,1.0084,1.00813,1.00784,1.00752,1.00716,1.00677,1.00635,1.00589,1.00539,1.00485,1.00427,1.00365,1.00298,1.00226,1.00149,1.00066,0.999781,0.998839,0.997835,0.996764,0.995625,0.994412,0.993124,0.991755,0.990303,0.988763,0.98713,0.985401,0.983572,0.981636,0.979591,0.977431,0.975151,0.972746,0.970211,0.967541,0.964731,0.961776,0.95867,0.955409,0.951988,0.948401,0.944644,0.940714,0.936604,0.932312,0.927835,0.923168,0.918309,0.913257,0.908009,0.902565,0.896924,0.891088,0.885058,0.878835,0.872424,0.865829,0.859055,0.852109,0.844999,0.837732,0.83032,0.822772,0.815102,0.807322,0.799446,0.791491,0.783471,0.775404,0.767308,0.7592,0.751099,0.743024,0.734994,0.727027,0.719143,0.711359,0.703693,0.696163,0.688784,0.681572,0.67454,0.667702,0.661069,0.654651,0.648456,0.642492,0.636765,0.631278,0.626034,0.621035,0.616279,0.611767,0.607494,0.603457,0.599652,0.596073,0.592712,0.589564,0.586619,0.58387,0.581308,0.578924,0.57671,0.574655,0.572751,0.570988,0.569357,0.56785,0.566457,0.56517,0.56398,0.56288,0.561862,0.560917,0.560039,0.559221,0.558455,0.557734,0.557054,0.556406,0.555785,0.555184,0.554598,0.55402,0.553444,0.552864,0.552274,0.551665,0.551032,0.550368,0.549664,0.548912,0.548103,0.547227,0.546275,0.545235,0.544095,0.542841,0.541458,0.539932,0.538243,0.536375,0.534304,0.532009,0.529466,0.526646,0.523521,0.52006,0.516229,0.511992,0.50731,0.502143,0.496448,0.490183,0.483301,0.475758,0.46751,0.458513,0.448727,0.43812,0.426661,0.414332},
{1.00761,1.00782,1.00803,1.00824,1.00845,1.00865,1.00886,1.00906,1.00925,1.00945,1.00963,1.00982,1.00999,1.01016,1.01033,1.01048,1.01063,1.01077,1.0109,1.01101,1.01112,1.01121,1.01129,1.01136,1.01141,1.01145,1.01147,1.01148,1.01146,1.01143,1.01137,1.0113,1.0112,1.01108,1.01094,1.01077,1.01057,1.01035,1.0101,1.00981,1.00949,1.00914,1.00876,1.00834,1.00787,1.00737,1.00683,1.00624,1.0056,1.00491,1.00417,1.00338,1.00253,1.00162,1.00064,0.999603,0.998493,0.997311,0.996052,0.994713,0.99329,0.99178,0.990177,0.988477,0.986677,0.984772,0.982756,0.980626,0.978376,0.976002,0.973497,0.970858,0.96808,0.965156,0.962082,0.958853,0.955464,0.951911,0.948187,0.94429,0.940215,0.935957,0.931514,0.926882,0.922058,0.917041,0.911829,0.906421,0.900816,0.895016,0.889022,0.882837,0.876462,0.869904,0.863167,0.856257,0.849183,0.841953,0.834577,0.827065,0.819431,0.811686,0.803845,0.795924,0.787939,0.779906,0.771842,0.763766,0.755697,0.747653,0.739653,0.731715,0.72386,0.716103,0.708464,0.70096,0.693606,0.686418,0.679409,0.672593,0.665981,0.659582,0.653407,0.647461,0.641751,0.63628,0.631051,0.626066,0.621324,0.616824,0.612562,0.608536,0.604741,0.60117,0.597818,0.594676,0.591738,0.588994,0.586437,0.584058,0.581846,0.579794,0.577891,0.576129,0.574498,0.57299,0.571596,0.570306,0.569113,0.568008,0.566984,0.566033,0.565147,0.564319,0.563542,0.56281,0.562115,0.561452,0.560813,0.560192,0.559583,0.55898,0.558375,0.557763,0.557137,0.556488,0.555811,0.555097,0.554337,0.553523,0.552646,0.551694,0.550657,0.549522,0.548276,0.546906,0.545394,0.543724,0.541877,0.539832,0.537568,0.535059,0.532279,0.529199,0.525789,0.522015,0.517841,0.51323,0.508141,0.502533,0.496361,0.489582,0.482149,0.474019,0.465148,0.455494,0.445023,0.433704,0.421515,0.408446},
{1.0082,1.00845,1.00869,1.00894,1.00918,1.00943,1.00967,1.00991,1.01015,1.01038,1.01061,1.01084,1.01106,1.01128,1.01149,1.01169,1.01188,1.01207,1.01224,1.01241,1.01257,1.01271,1.01284,1.01296,1.01306,1.01315,1.01322,1.01327,1.01331,1.01333,1.01332,1.0133,1.01325,1.01318,1.01308,1.01296,1.01281,1.01263,1.01242,1.01218,1.01191,1.0116,1.01126,1.01087,1.01045,1.00999,1.00948,1.00893,1.00833,1.00768,1.00698,1.00622,1.0054,1.00453,1.00359,1.00258,1.00151,1.00036,0.999129,0.997823,0.996432,0.994953,0.993381,0.991713,0.989944,0.98807,0.986086,0.983987,0.981769,0.979426,0.976953,0.974346,0.971599,0.968707,0.965666,0.962469,0.959113,0.955593,0.951903,0.948039,0.943997,0.939774,0.935365,0.930767,0.925979,0.920997,0.91582,0.910447,0.904879,0.899114,0.893156,0.887006,0.880668,0.874146,0.867445,0.860571,0.853533,0.846338,0.838997,0.831521,0.823921,0.816211,0.808404,0.800517,0.792565,0.784564,0.776532,0.768488,0.76045,0.752435,0.744464,0.736556,0.728727,0.720998,0.713385,0.705906,0.698576,0.691411,0.684424,0.67763,0.671038,0.664659,0.658502,0.652574,0.64688,0.641425,0.636211,0.63124,0.626511,0.622023,0.617773,0.613758,0.609972,0.60641,0.603066,0.599932,0.597,0.594263,0.591711,0.589336,0.587129,0.58508,0.58318,0.58142,0.579791,0.578283,0.576889,0.575599,0.574404,0.573298,0.572271,0.571316,0.570426,0.569593,0.56881,0.568071,0.567368,0.566695,0.566045,0.565412,0.564789,0.56417,0.563549,0.562917,0.562269,0.561596,0.560891,0.560147,0.559353,0.558501,0.557582,0.556583,0.555494,0.554302,0.552992,0.551551,0.54996,0.548204,0.546261,0.54411,0.541729,0.539091,0.53617,0.532935,0.529354,0.525394,0.521018,0.516186,0.510858,0.50499,0.49854,0.491461,0.483708,0.475238,0.466007,0.455976,0.445113,0.433388,0.420785,0.407297},
{1.00876,1.00904,1.00932,1.0096,1.00988,1.01016,1.01044,1.01072,1.011,1.01127,1.01155,1.01182,1.01209,1.01235,1.01261,1.01286,1.0131,1.01334,1.01357,1.01378,1.01399,1.01419,1.01437,1.01454,1.0147,1.01484,1.01497,1.01507,1.01516,1.01524,1.01528,1.01531,1.01532,1.0153,1.01526,1.01518,1.01509,1.01496,1.0148,1.01461,1.01438,1.01413,1.01383,1.01349,1.01312,1.0127,1.01224,1.01173,1.01117,1.01056,1.0099,1.00918,1.0084,1.00757,1.00666,1.00569,1.00465,1.00354,1.00235,1.00108,0.999722,0.998277,0.996739,0.995105,0.99337,0.991528,0.989577,0.987511,0.985325,0.983015,0.980575,0.978001,0.975287,0.972428,0.96942,0.966256,0.962934,0.959446,0.95579,0.95196,0.947952,0.943763,0.939388,0.934825,0.930071,0.925124,0.919982,0.914645,0.909111,0.903382,0.897459,0.891345,0.885042,0.878555,0.871889,0.865051,0.858047,0.850887,0.843581,0.836139,0.828573,0.820896,0.813123,0.805268,0.797348,0.789379,0.781378,0.773364,0.765356,0.75737,0.749428,0.741546,0.733745,0.726041,0.718453,0.710998,0.703691,0.696548,0.689583,0.682809,0.676236,0.669876,0.663737,0.657825,0.652147,0.646707,0.641507,0.636549,0.631832,0.627355,0.623115,0.619109,0.615332,0.611778,0.608441,0.605313,0.602387,0.599654,0.597106,0.594734,0.592529,0.590482,0.588583,0.586823,0.585193,0.583684,0.582287,0.580993,0.579794,0.578682,0.577648,0.576685,0.575786,0.574942,0.574147,0.573393,0.572674,0.571983,0.571313,0.570657,0.570009,0.569361,0.568708,0.56804,0.567352,0.566634,0.56588,0.56508,0.564225,0.563305,0.562309,0.561225,0.560042,0.558745,0.55732,0.55575,0.554017,0.552103,0.549986,0.547643,0.54505,0.542179,0.539001,0.535484,0.531596,0.527298,0.522555,0.517323,0.511562,0.505227,0.498274,0.490656,0.482331,0.473253,0.463383,0.452685,0.44113,0.428697,0.415376,0.401172},
{1.00928,1.00959,1.0099,1.01021,1.01053,1.01085,1.01117,1.01149,1.01181,1.01213,1.01245,1.01276,1.01308,1.01339,1.01369,1.01399,1.01429,1.01458,1.01486,1.01513,1.01539,1.01564,1.01588,1.01611,1.01632,1.01652,1.0167,1.01687,1.01702,1.01715,1.01725,1.01734,1.0174,1.01744,1.01745,1.01744,1.0174,1.01733,1.01722,1.01709,1.01692,1.01671,1.01647,1.01618,1.01586,1.01549,1.01508,1.01461,1.0141,1.01354,1.01292,1.01225,1.01152,1.01072,1.00986,1.00893,1.00793,1.00686,1.00571,1.00447,1.00316,1.00175,1.00025,0.998649,0.996949,0.995144,0.993228,0.991196,0.989045,0.986769,0.984364,0.981824,0.979144,0.976319,0.973344,0.970215,0.966926,0.963473,0.959851,0.956055,0.952082,0.947927,0.943587,0.939058,0.934339,0.929427,0.924319,0.919017,0.913518,0.907824,0.901936,0.895857,0.889589,0.883136,0.876505,0.869701,0.862732,0.855606,0.848333,0.840925,0.833392,0.825748,0.818007,0.810184,0.802295,0.794357,0.786387,0.778402,0.770422,0.762465,0.75455,0.746695,0.73892,0.731241,0.723677,0.716245,0.708961,0.70184,0.694895,0.688141,0.681587,0.675245,0.669123,0.663228,0.657565,0.652139,0.646953,0.642007,0.637302,0.632836,0.628607,0.62461,0.620842,0.617296,0.613966,0.610845,0.607925,0.605198,0.602654,0.600286,0.598085,0.59604,0.594143,0.592384,0.590755,0.589246,0.587849,0.586554,0.585353,0.584238,0.583201,0.582234,0.581329,0.58048,0.579677,0.578916,0.578187,0.577485,0.576803,0.576134,0.575471,0.574806,0.574133,0.573444,0.572731,0.571987,0.571203,0.57037,0.569478,0.568516,0.567475,0.566341,0.565101,0.563742,0.562247,0.560601,0.558784,0.556777,0.554557,0.552101,0.549383,0.546375,0.543048,0.539367,0.535299,0.530807,0.52585,0.520389,0.514379,0.507777,0.500536,0.492613,0.483962,0.474541,0.464311,0.453239,0.441298,0.42847,0.41475,0.400148},
{1.00976,1.0101,1.01045,1.0108,1.01115,1.0115,1.01186,1.01222,1.01258,1.01294,1.01331,1.01367,1.01403,1.01439,1.01474,1.01509,1.01544,1.01578,1.01611,1.01644,1.01676,1.01707,1.01736,1.01765,1.01792,1.01818,1.01842,1.01865,1.01886,1.01905,1.01922,1.01937,1.01949,1.01959,1.01967,1.01972,1.01973,1.01972,1.01968,1.0196,1.01949,1.01934,1.01916,1.01893,1.01866,1.01835,1.01799,1.01758,1.01712,1.01661,1.01604,1.01542,1.01473,1.01399,1.01317,1.01229,1.01133,1.0103,1.0092,1.008,1.00673,1.00536,1.0039,1.00234,1.00068,0.998911,0.997032,0.995038,0.992924,0.990685,0.988315,0.985811,0.983167,0.980377,0.977438,0.974344,0.97109,0.967672,0.964084,0.960324,0.956385,0.952265,0.947959,0.943466,0.938781,0.933904,0.928831,0.923563,0.918099,0.91244,0.906586,0.900541,0.894308,0.887889,0.881292,0.874522,0.867587,0.860494,0.853255,0.845879,0.838378,0.830766,0.823057,0.815265,0.807406,0.799497,0.791556,0.783601,0.775648,0.767718,0.75983,0.752,0.744249,0.736595,0.729054,0.721645,0.714382,0.707281,0.700356,0.69362,0.687085,0.68076,0.674653,0.668773,0.663125,0.657712,0.652538,0.647604,0.64291,0.638454,0.634234,0.630246,0.626485,0.622946,0.619622,0.616506,0.61359,0.610866,0.608326,0.60596,0.603759,0.601715,0.599818,0.598058,0.596426,0.594914,0.593513,0.592212,0.591005,0.589883,0.588837,0.58786,0.586944,0.586081,0.585263,0.584484,0.583737,0.583013,0.582307,0.58161,0.580916,0.580217,0.579506,0.578774,0.578015,0.577218,0.576375,0.575476,0.574511,0.573469,0.572338,0.571104,0.569754,0.568273,0.566643,0.564847,0.562864,0.560673,0.558251,0.555573,0.55261,0.549333,0.54571,0.541707,0.537286,0.53241,0.527037,0.521124,0.514627,0.507501,0.4997,0.491181,0.481899,0.471815,0.460894,0.449106,0.436431,0.422862,0.408402,0.393075},
{1.01022,1.01059,1.01096,1.01134,1.01173,1.01212,1.01251,1.01291,1.01331,1.01372,1.01412,1.01453,1.01494,1.01534,1.01575,1.01615,1.01655,1.01694,1.01733,1.01771,1.01809,1.01846,1.01881,1.01916,1.01949,1.01981,1.02012,1.02041,1.02068,1.02094,1.02117,1.02139,1.02158,1.02175,1.02189,1.022,1.02208,1.02214,1.02216,1.02215,1.0221,1.02202,1.02189,1.02173,1.02152,1.02127,1.02097,1.02062,1.02022,1.01976,1.01925,1.01868,1.01805,1.01735,1.01659,1.01576,1.01485,1.01387,1.01281,1.01166,1.01043,1.00911,1.00769,1.00617,1.00455,1.00283,1.00099,0.999034,0.996959,0.994759,0.992427,0.989961,0.987354,0.984602,0.9817,0.978642,0.975424,0.972042,0.968491,0.964765,0.960862,0.956778,0.952507,0.948049,0.9434,0.938557,0.933519,0.928286,0.922857,0.917232,0.911413,0.905402,0.899202,0.892818,0.886254,0.879517,0.872615,0.865555,0.858348,0.851004,0.843535,0.835954,0.828275,0.820513,0.812684,0.804804,0.796891,0.788963,0.781038,0.773134,0.765271,0.757466,0.749739,0.742108,0.734589,0.727201,0.719958,0.712877,0.705971,0.699253,0.692735,0.686425,0.680334,0.674468,0.668833,0.663433,0.658271,0.653348,0.648664,0.644217,0.640005,0.636024,0.63227,0.628737,0.625418,0.622306,0.619393,0.616672,0.614133,0.611768,0.609568,0.607522,0.605623,0.60386,0.602225,0.600708,0.5993,0.597993,0.596777,0.595645,0.594587,0.593597,0.592665,0.591785,0.590948,0.590147,0.589375,0.588624,0.587887,0.587156,0.586423,0.585682,0.584923,0.584138,0.583319,0.582456,0.58154,0.580559,0.579504,0.578361,0.577118,0.575761,0.574274,0.57264,0.570842,0.56886,0.566671,0.564254,0.561583,0.558629,0.555364,0.551756,0.547771,0.543372,0.53852,0.533175,0.527294,0.520833,0.513746,0.505989,0.497517,0.488286,0.478254,0.467387,0.455655,0.443035,0.429517,0.415103,0.399813,0.383683},
{1.01064,1.01104,1.01144,1.01185,1.01227,1.0127,1.01313,1.01357,1.01401,1.01445,1.0149,1.01535,1.01581,1.01626,1.01671,1.01717,1.01762,1.01807,1.01851,1.01895,1.01938,1.01981,1.02023,1.02064,1.02103,1.02142,1.02179,1.02215,1.02249,1.02281,1.02311,1.02339,1.02365,1.02389,1.0241,1.02428,1.02444,1.02456,1.02465,1.02471,1.02473,1.02472,1.02466,1.02456,1.02442,1.02424,1.024,1.02371,1.02338,1.02298,1.02253,1.02202,1.02145,1.02081,1.0201,1.01933,1.01847,1.01754,1.01653,1.01544,1.01426,1.01298,1.01161,1.01014,1.00857,1.00689,1.00509,1.00318,1.00115,0.99899,0.996699,0.994273,0.991706,0.988993,0.986129,0.98311,0.979931,0.976586,0.973072,0.969383,0.965517,0.961468,0.957234,0.952812,0.948198,0.943391,0.938388,0.93319,0.927796,0.922205,0.916421,0.910444,0.904278,0.897927,0.891397,0.884693,0.877824,0.870796,0.863621,0.856308,0.84887,0.84132,0.833671,0.825939,0.818139,0.810288,0.802402,0.794501,0.786602,0.778724,0.770886,0.763105,0.755402,0.747793,0.740296,0.732928,0.725706,0.718645,0.711757,0.705057,0.698555,0.692262,0.686186,0.680334,0.674713,0.669326,0.664176,0.659264,0.65459,0.650153,0.645951,0.641979,0.638233,0.634707,0.631394,0.628289,0.625382,0.622666,0.620132,0.617771,0.615574,0.613532,0.611636,0.609875,0.608242,0.606726,0.60532,0.604013,0.602797,0.601665,0.600607,0.599615,0.598682,0.5978,0.596961,0.596157,0.595381,0.594626,0.593884,0.593148,0.592409,0.591661,0.590894,0.590101,0.589272,0.588399,0.58747,0.586477,0.585407,0.584248,0.582988,0.581611,0.580102,0.578445,0.576621,0.57461,0.572391,0.569939,0.567231,0.564237,0.560928,0.557273,0.553236,0.548781,0.543869,0.538459,0.532508,0.525972,0.518807,0.510965,0.502403,0.493076,0.482945,0.471972,0.46013,0.447395,0.433759,0.419222,0.403805,0.387545},
{1.01103,1.01146,1.01189,1.01233,1.01279,1.01325,1.01371,1.01419,1.01467,1.01515,1.01564,1.01614,1.01664,1.01714,1.01764,1.01814,1.01865,1.01915,1.01965,1.02015,1.02064,1.02112,1.0216,1.02208,1.02254,1.02299,1.02343,1.02385,1.02426,1.02465,1.02503,1.02538,1.02571,1.02602,1.02631,1.02656,1.02679,1.02699,1.02716,1.02729,1.02738,1.02744,1.02746,1.02743,1.02736,1.02724,1.02708,1.02686,1.02659,1.02627,1.02588,1.02544,1.02493,1.02435,1.02371,1.02299,1.0222,1.02132,1.02037,1.01933,1.0182,1.01698,1.01566,1.01424,1.01272,1.01109,1.00934,1.00747,1.00549,1.00337,1.00113,0.998743,0.996218,0.993546,0.990724,0.987745,0.984605,0.981299,0.977824,0.974174,0.970345,0.966334,0.962137,0.957751,0.953174,0.948403,0.943436,0.938273,0.932914,0.927358,0.921608,0.915665,0.909533,0.903216,0.896719,0.890048,0.88321,0.876215,0.869071,0.861789,0.854382,0.846861,0.839242,0.831538,0.823766,0.815943,0.808084,0.800209,0.792336,0.784482,0.776668,0.768911,0.761229,0.753642,0.746166,0.738819,0.731616,0.724572,0.717702,0.711019,0.704533,0.698255,0.692193,0.686355,0.680746,0.675371,0.670232,0.66533,0.660666,0.656239,0.652044,0.64808,0.644341,0.640821,0.637514,0.634414,0.631511,0.628799,0.626268,0.62391,0.621715,0.619674,0.617778,0.616018,0.614384,0.612867,0.611459,0.610149,0.608931,0.607794,0.606731,0.605734,0.604794,0.603904,0.603055,0.602242,0.601454,0.600686,0.59993,0.599177,0.59842,0.597651,0.596862,0.596043,0.595186,0.594281,0.593318,0.592286,0.591173,0.589967,0.588653,0.587218,0.585645,0.583917,0.582014,0.579917,0.577603,0.575047,0.572223,0.569104,0.565657,0.561851,0.55765,0.553016,0.54791,0.54229,0.536113,0.529335,0.521908,0.513789,0.504932,0.495294,0.484836,0.473524,0.461331,0.448237,0.434236,0.419334,0.403558,0.386947},
{1.01139,1.01185,1.01231,1.01278,1.01327,1.01376,1.01426,1.01477,1.01529,1.01581,1.01634,1.01688,1.01743,1.01797,1.01853,1.01908,1.01963,1.02019,1.02075,1.0213,1.02185,1.0224,1.02294,1.02348,1.024,1.02452,1.02503,1.02552,1.026,1.02647,1.02692,1.02734,1.02775,1.02814,1.0285,1.02883,1.02914,1.02941,1.02966,1.02986,1.03004,1.03017,1.03027,1.03032,1.03032,1.03028,1.03019,1.03005,1.02986,1.0296,1.02929,1.02891,1.02847,1.02797,1.02739,1.02674,1.02601,1.0252,1.02431,1.02333,1.02226,1.02109,1.01983,1.01847,1.017,1.01542,1.01372,1.01191,1.00997,1.0079,1.0057,1.00337,1.00089,0.998259,0.995479,0.992543,0.989445,0.986181,0.982745,0.979135,0.975346,0.971374,0.967215,0.962867,0.958327,0.953592,0.948662,0.943535,0.938211,0.932691,0.926975,0.921067,0.914968,0.908684,0.90222,0.895581,0.888776,0.881812,0.874699,0.867447,0.86007,0.852578,0.844987,0.837312,0.829567,0.82177,0.813938,0.806088,0.798239,0.790409,0.782617,0.774882,0.767222,0.759656,0.752199,0.744871,0.737686,0.730659,0.723806,0.717137,0.710666,0.704402,0.698353,0.692527,0.68693,0.681565,0.676436,0.671543,0.666887,0.662467,0.658279,0.65432,0.650586,0.64707,0.643767,0.640669,0.637768,0.635057,0.632526,0.630167,0.62797,0.625927,0.624028,0.622263,0.620623,0.6191,0.617683,0.616364,0.615135,0.613985,0.612908,0.611895,0.610936,0.610026,0.609154,0.608315,0.607499,0.606698,0.605905,0.605112,0.604311,0.603492,0.602647,0.601766,0.600841,0.59986,0.598812,0.597686,0.596469,0.595147,0.593706,0.592129,0.590399,0.588498,0.586404,0.584096,0.581549,0.578738,0.575633,0.572205,0.568421,0.564246,0.559642,0.554571,0.54899,0.542857,0.536126,0.528753,0.520691,0.511896,0.502324,0.491936,0.480695,0.468573,0.45555,0.441616,0.426775,0.411049,0.394478,0.377119},
{1.01173,1.01221,1.0127,1.0132,1.01372,1.01424,1.01478,1.01532,1.01588,1.01644,1.01701,1.01759,1.01818,1.01877,1.01937,1.01998,1.02058,1.02119,1.0218,1.02242,1.02303,1.02363,1.02424,1.02484,1.02543,1.02602,1.0266,1.02716,1.02771,1.02825,1.02878,1.02928,1.02976,1.03023,1.03067,1.03108,1.03147,1.03182,1.03215,1.03244,1.03269,1.03291,1.03309,1.03322,1.03331,1.03335,1.03334,1.03328,1.03316,1.03298,1.03275,1.03245,1.03208,1.03165,1.03114,1.03056,1.0299,1.02916,1.02834,1.02742,1.02642,1.02532,1.02412,1.02281,1.0214,1.01988,1.01824,1.01648,1.01459,1.01258,1.01043,1.00814,1.00571,1.00313,1.0004,0.997505,0.994451,0.99123,0.987838,0.98427,0.980521,0.976589,0.972471,0.968162,0.96366,0.958963,0.95407,0.94898,0.943692,0.938207,0.932527,0.926653,0.920589,0.914338,0.907907,0.9013,0.894527,0.887594,0.880511,0.87329,0.865942,0.858479,0.850917,0.843268,0.83555,0.827779,0.819972,0.812147,0.804322,0.796515,0.788746,0.781032,0.773393,0.765846,0.758409,0.751099,0.743931,0.736921,0.730083,0.72343,0.716973,0.710722,0.704686,0.698872,0.693285,0.687931,0.682811,0.677927,0.673279,0.668866,0.664684,0.660732,0.657002,0.653491,0.650192,0.647097,0.644199,0.641489,0.638959,0.6366,0.634403,0.632359,0.630457,0.628689,0.627046,0.625518,0.624095,0.62277,0.621532,0.620374,0.619286,0.618261,0.617289,0.616363,0.615475,0.614616,0.613778,0.612953,0.612134,0.611311,0.610476,0.60962,0.608733,0.607807,0.60683,0.605792,0.604682,0.603486,0.602192,0.600785,0.599249,0.597568,0.595723,0.593695,0.591461,0.588998,0.586282,0.583284,0.579975,0.576324,0.572295,0.567854,0.56296,0.557575,0.551654,0.545154,0.53803,0.530235,0.521725,0.512455,0.502383,0.491471,0.479686,0.467006,0.453413,0.438906,0.423496,0.407215,0.39011,0.372255},
{1.01205,1.01255,1.01307,1.0136,1.01414,1.01469,1.01526,1.01584,1.01643,1.01703,1.01764,1.01826,1.0189,1.01953,1.02018,1.02083,1.02149,1.02215,1.02282,1.02349,1.02416,1.02483,1.0255,1.02616,1.02682,1.02748,1.02812,1.02876,1.02939,1.03,1.0306,1.03118,1.03175,1.03229,1.03281,1.03331,1.03378,1.03422,1.03463,1.03501,1.03535,1.03565,1.03591,1.03613,1.0363,1.03643,1.03651,1.03653,1.03649,1.0364,1.03625,1.03603,1.03575,1.03539,1.03496,1.03446,1.03388,1.03321,1.03246,1.03161,1.03068,1.02964,1.02851,1.02727,1.02592,1.02446,1.02288,1.02118,1.01935,1.01739,1.0153,1.01306,1.01068,1.00815,1.00547,1.00263,0.999621,0.996446,0.993099,0.989574,0.985869,0.98198,0.977902,0.973634,0.969172,0.964515,0.95966,0.954607,0.949357,0.943908,0.938263,0.932424,0.926394,0.920178,0.913779,0.907206,0.900463,0.893562,0.88651,0.879318,0.871999,0.864565,0.85703,0.849409,0.841717,0.833972,0.826189,0.818388,0.810586,0.802802,0.795054,0.787361,0.779742,0.772214,0.764795,0.757502,0.750351,0.743357,0.736534,0.729895,0.723451,0.717213,0.711189,0.705386,0.699809,0.694464,0.689353,0.684478,0.679837,0.67543,0.671255,0.667308,0.663583,0.660076,0.656779,0.653687,0.650791,0.648082,0.645553,0.643193,0.640995,0.638949,0.637045,0.635273,0.633626,0.632092,0.630663,0.62933,0.628084,0.626915,0.625816,0.624777,0.623791,0.622849,0.621942,0.621062,0.620201,0.61935,0.618502,0.617646,0.616775,0.615879,0.614948,0.613973,0.612942,0.611843,0.610666,0.609396,0.608019,0.606521,0.604885,0.603092,0.601125,0.598961,0.596578,0.593952,0.591056,0.587861,0.584336,0.580449,0.576162,0.57144,0.566243,0.560527,0.55425,0.547368,0.539833,0.531601,0.522626,0.512865,0.502278,0.490829,0.478491,0.465242,0.451074,0.435992,0.420016,0.403186,0.385562,0.367229},
{1.01235,1.01287,1.01341,1.01397,1.01454,1.01512,1.01572,1.01633,1.01695,1.01759,1.01824,1.0189,1.01958,1.02026,1.02095,1.02165,1.02236,1.02308,1.0238,1.02452,1.02525,1.02598,1.02671,1.02744,1.02817,1.02889,1.02961,1.03032,1.03102,1.03171,1.03239,1.03305,1.0337,1.03432,1.03493,1.03551,1.03607,1.03659,1.03709,1.03756,1.03799,1.03838,1.03873,1.03904,1.03931,1.03952,1.03969,1.0398,1.03985,1.03985,1.03978,1.03965,1.03946,1.03919,1.03884,1.03842,1.03792,1.03733,1.03665,1.03589,1.03503,1.03407,1.033,1.03183,1.03055,1.02916,1.02764,1.02601,1.02424,1.02234,1.02031,1.01813,1.0158,1.01333,1.0107,1.00791,1.00495,1.00183,0.998527,0.995049,0.99139,0.987545,0.983511,0.979285,0.974865,0.970248,0.965433,0.96042,0.955207,0.949796,0.944187,0.938384,0.932389,0.926207,0.919842,0.913301,0.906591,0.89972,0.892699,0.885537,0.878247,0.870841,0.863333,0.855739,0.848073,0.840352,0.832594,0.824816,0.817037,0.809275,0.801548,0.793875,0.786275,0.778766,0.771365,0.764089,0.756954,0.749975,0.743167,0.736542,0.730111,0.723885,0.717872,0.712079,0.706513,0.701178,0.696075,0.691208,0.686574,0.682174,0.678005,0.674063,0.670343,0.66684,0.663548,0.660458,0.657564,0.654858,0.65233,0.649971,0.647773,0.645726,0.643821,0.642048,0.640398,0.638861,0.637428,0.63609,0.634839,0.633664,0.632557,0.63151,0.630514,0.62956,0.628641,0.627747,0.626871,0.626003,0.625135,0.624258,0.623363,0.62244,0.62148,0.620472,0.619404,0.618266,0.617043,0.615724,0.614293,0.612735,0.611032,0.609167,0.607119,0.604867,0.602387,0.599655,0.596642,0.593319,0.589655,0.585615,0.581163,0.576262,0.570869,0.564944,0.558441,0.551315,0.543521,0.535013,0.525745,0.515676,0.504767,0.492982,0.480297,0.466694,0.452167,0.436724,0.420392,0.403215,0.385259,0.366615},
{1.01262,1.01317,1.01373,1.01431,1.01491,1.01552,1.01615,1.01679,1.01745,1.01812,1.01881,1.01951,1.02022,1.02095,1.02169,1.02244,1.02319,1.02396,1.02474,1.02552,1.0263,1.02709,1.02789,1.02868,1.02948,1.03027,1.03106,1.03184,1.03262,1.03339,1.03414,1.03489,1.03561,1.03632,1.03701,1.03768,1.03833,1.03895,1.03953,1.04009,1.04061,1.0411,1.04154,1.04195,1.04231,1.04262,1.04288,1.04308,1.04323,1.04332,1.04335,1.04331,1.0432,1.04302,1.04277,1.04243,1.04202,1.04152,1.04092,1.04024,1.03946,1.03858,1.03759,1.0365,1.03529,1.03397,1.03252,1.03096,1.02926,1.02742,1.02545,1.02333,1.02107,1.01865,1.01608,1.01334,1.01044,1.00737,1.00412,1.00069,0.99708,0.993282,0.989294,0.985113,0.980736,0.976161,0.971388,0.966415,0.961241,0.955868,0.950298,0.944531,0.938572,0.932424,0.926093,0.919585,0.912907,0.906068,0.899077,0.891945,0.884683,0.877305,0.869825,0.862256,0.854616,0.84692,0.839185,0.83143,0.823673,0.815932,0.808225,0.800572,0.792991,0.785499,0.778115,0.770855,0.763735,0.756771,0.749976,0.743364,0.736945,0.73073,0.724728,0.718945,0.713388,0.708061,0.702966,0.698105,0.693478,0.689084,0.68492,0.680982,0.677265,0.673765,0.670475,0.667387,0.664494,0.661788,0.65926,0.6569,0.6547,0.652651,0.650742,0.648964,0.647309,0.645766,0.644326,0.642979,0.641718,0.640532,0.639413,0.638351,0.637339,0.636368,0.635429,0.634513,0.633611,0.632716,0.631817,0.630906,0.629973,0.629008,0.628001,0.626941,0.625816,0.624613,0.623321,0.621924,0.620407,0.618753,0.616946,0.614965,0.612789,0.610397,0.607763,0.604861,0.601663,0.598137,0.594251,0.589969,0.585254,0.580067,0.574365,0.568106,0.561244,0.553733,0.545528,0.536583,0.526855,0.516301,0.504886,0.492577,0.479355,0.465205,0.45013,0.434143,0.417281,0.399598,0.38117,0.3621},
{1.01288,1.01345,1.01404,1.01464,1.01526,1.0159,1.01655,1.01723,1.01792,1.01862,1.01935,1.02009,1.02084,1.02161,1.02239,1.02318,1.02399,1.02481,1.02564,1.02647,1.02732,1.02817,1.02902,1.02988,1.03074,1.0316,1.03247,1.03332,1.03417,1.03502,1.03586,1.03668,1.03749,1.03829,1.03907,1.03982,1.04056,1.04127,1.04195,1.0426,1.04322,1.0438,1.04434,1.04484,1.0453,1.04571,1.04607,1.04637,1.04662,1.04681,1.04694,1.04699,1.04698,1.0469,1.04674,1.0465,1.04617,1.04576,1.04526,1.04466,1.04397,1.04317,1.04227,1.04126,1.04013,1.03889,1.03752,1.03602,1.03439,1.03263,1.03073,1.02868,1.02648,1.02412,1.02161,1.01893,1.01609,1.01307,1.00988,1.0065,1.00294,0.999192,0.995252,0.991118,0.986787,0.982257,0.977526,0.972595,0.967463,0.96213,0.956598,0.950869,0.944946,0.938834,0.932537,0.926063,0.919418,0.91261,0.90565,0.898547,0.891315,0.883965,0.876511,0.868969,0.861354,0.853682,0.845971,0.838239,0.830503,0.822782,0.815096,0.807462,0.799898,0.792424,0.785056,0.777812,0.770707,0.763757,0.756975,0.750375,0.743968,0.737764,0.731772,0.725999,0.72045,0.715131,0.710044,0.70519,0.700569,0.696181,0.692021,0.688088,0.684376,0.680879,0.677591,0.674506,0.671615,0.668909,0.666382,0.664022,0.661822,0.659771,0.65786,0.65608,0.654422,0.652875,0.65143,0.650078,0.64881,0.647617,0.646489,0.645419,0.644396,0.643413,0.64246,0.641529,0.640611,0.639697,0.638777,0.637843,0.636884,0.635891,0.634852,0.633757,0.632594,0.631349,0.630009,0.62856,0.626986,0.625269,0.623392,0.621334,0.619075,0.61659,0.613855,0.610842,0.607522,0.603864,0.599834,0.595395,0.59051,0.585139,0.579238,0.572764,0.565673,0.557916,0.54945,0.540228,0.530207,0.519346,0.507611,0.494972,0.48141,0.466915,0.451491,0.435159,0.417957,0.399945,0.381207,0.361848},
{1.01312,1.01371,1.01432,1.01494,1.01559,1.01625,1.01694,1.01764,1.01836,1.0191,1.01986,1.02063,1.02142,1.02223,1.02306,1.0239,1.02475,1.02562,1.0265,1.02739,1.02829,1.0292,1.03012,1.03104,1.03197,1.0329,1.03383,1.03476,1.03569,1.03661,1.03753,1.03844,1.03933,1.04021,1.04108,1.04193,1.04276,1.04356,1.04434,1.04509,1.0458,1.04648,1.04713,1.04773,1.04829,1.0488,1.04926,1.04967,1.05002,1.05031,1.05054,1.0507,1.05079,1.0508,1.05074,1.0506,1.05038,1.05006,1.04966,1.04915,1.04855,1.04785,1.04703,1.04611,1.04506,1.0439,1.04261,1.0412,1.03965,1.03796,1.03613,1.03415,1.03202,1.02973,1.02728,1.02467,1.02189,1.01893,1.01579,1.01247,1.00897,1.00527,1.00138,0.997298,0.993015,0.988531,0.983846,0.978959,0.973869,0.968577,0.963085,0.957395,0.95151,0.945435,0.939173,0.932733,0.926121,0.919346,0.912416,0.905344,0.89814,0.890818,0.883392,0.875875,0.868285,0.860637,0.852949,0.845239,0.837524,0.829823,0.822156,0.81454,0.806994,0.799536,0.792184,0.784954,0.777863,0.770926,0.764157,0.757568,0.751172,0.744978,0.738995,0.73323,0.72769,0.722378,0.717297,0.712449,0.707833,0.703449,0.699293,0.695363,0.691653,0.688159,0.684872,0.681787,0.678896,0.67619,0.673661,0.671299,0.669095,0.667041,0.665126,0.66334,0.661675,0.66012,0.658667,0.657305,0.656026,0.65482,0.653678,0.652591,0.65155,0.650547,0.649572,0.648616,0.64767,0.646724,0.645771,0.644798,0.643797,0.642757,0.641667,0.640514,0.639287,0.637972,0.636554,0.635019,0.63335,0.631529,0.629537,0.627352,0.624953,0.622315,0.619412,0.616215,0.612694,0.608816,0.604545,0.599846,0.594678,0.589,0.582768,0.575938,0.568465,0.560301,0.551401,0.54172,0.531217,0.519852,0.507593,0.494417,0.480305,0.465257,0.449282,0.432409,0.414688,0.396186,0.376998,0.357242},
{1.01335,1.01395,1.01458,1.01523,1.0159,1.01658,1.01729,1.01802,1.01878,1.01955,1.02034,1.02115,1.02198,1.02283,1.02369,1.02458,1.02548,1.02639,1.02732,1.02827,1.02923,1.03019,1.03117,1.03216,1.03315,1.03415,1.03515,1.03616,1.03716,1.03816,1.03916,1.04015,1.04113,1.0421,1.04306,1.044,1.04492,1.04582,1.04669,1.04754,1.04836,1.04914,1.04989,1.05059,1.05126,1.05187,1.05244,1.05296,1.05341,1.05381,1.05415,1.05442,1.05461,1.05474,1.05478,1.05474,1.05462,1.05441,1.0541,1.0537,1.0532,1.05259,1.05187,1.05103,1.05008,1.04901,1.04781,1.04648,1.04501,1.0434,1.04165,1.03975,1.03769,1.03548,1.0331,1.03055,1.02783,1.02494,1.02187,1.01861,1.01516,1.01152,1.00769,1.00365,0.999422,0.994988,0.990351,0.98551,0.980465,0.975216,0.969766,0.964116,0.95827,0.952232,0.946008,0.939603,0.933024,0.926282,0.919384,0.912342,0.905168,0.897874,0.890475,0.882984,0.875419,0.867795,0.86013,0.852441,0.844748,0.837067,0.829419,0.821821,0.814292,0.80685,0.799513,0.792298,0.785221,0.778297,0.77154,0.764962,0.758577,0.752392,0.746419,0.740663,0.73513,0.729825,0.724751,0.719909,0.715299,0.710919,0.706768,0.702842,0.699136,0.695644,0.69236,0.689277,0.686387,0.683682,0.681153,0.678792,0.676588,0.674532,0.672616,0.670828,0.669161,0.667603,0.666146,0.664779,0.663495,0.662283,0.661134,0.66004,0.658991,0.657978,0.656992,0.656024,0.655064,0.654104,0.653134,0.652143,0.651122,0.650059,0.648944,0.647764,0.646507,0.645158,0.643704,0.642129,0.640415,0.638546,0.6365,0.634257,0.631794,0.629086,0.626106,0.622825,0.619213,0.615236,0.610858,0.606043,0.600749,0.594935,0.588558,0.581572,0.573931,0.565589,0.556501,0.54662,0.535908,0.524324,0.511837,0.498425,0.484072,0.468777,0.452553,0.435431,0.417463,0.398719,0.379297,0.359318},
{1.01356,1.01418,1.01483,1.01549,1.01618,1.0169,1.01763,1.01839,1.01917,1.01997,1.02079,1.02164,1.0225,1.02339,1.0243,1.02522,1.02617,1.02713,1.02811,1.02911,1.03012,1.03115,1.03219,1.03324,1.03429,1.03536,1.03643,1.03751,1.03859,1.03967,1.04075,1.04182,1.04289,1.04395,1.045,1.04603,1.04705,1.04804,1.04902,1.04996,1.05088,1.05177,1.05262,1.05344,1.05421,1.05493,1.05561,1.05624,1.05681,1.05732,1.05776,1.05814,1.05845,1.05869,1.05884,1.05891,1.0589,1.0588,1.0586,1.0583,1.0579,1.05739,1.05677,1.05604,1.05519,1.05421,1.0531,1.05186,1.05048,1.04896,1.04729,1.04547,1.04349,1.04135,1.03905,1.03658,1.03393,1.0311,1.02809,1.0249,1.02151,1.01793,1.01416,1.01018,1.006,1.00162,0.997034,0.992242,0.987243,0.98204,0.976633,0.971025,0.96522,0.959221,0.953034,0.946665,0.940121,0.933412,0.926547,0.919536,0.912391,0.905125,0.897753,0.890288,0.882748,0.875148,0.867505,0.859838,0.852164,0.844503,0.836873,0.829292,0.821779,0.814353,0.80703,0.799829,0.792764,0.785852,0.779105,0.772538,0.766161,0.759986,0.75402,0.748271,0.742744,0.737445,0.732376,0.727538,0.722931,0.718554,0.714406,0.710481,0.706775,0.703283,0.699999,0.696914,0.694022,0.691314,0.688782,0.686415,0.684206,0.682143,0.680219,0.678423,0.676745,0.675175,0.673705,0.672324,0.671023,0.669793,0.668624,0.667507,0.666432,0.66539,0.664373,0.66337,0.662371,0.661368,0.66035,0.659306,0.658226,0.657099,0.655912,0.654652,0.653307,0.651861,0.6503,0.648606,0.646762,0.644748,0.642544,0.640127,0.637472,0.634554,0.631344,0.627812,0.623924,0.619647,0.614943,0.609772,0.604094,0.597866,0.591042,0.583576,0.575423,0.566536,0.55687,0.546382,0.535033,0.522787,0.509618,0.495509,0.480452,0.464455,0.44754,0.429751,0.411152,0.391828,0.371892,0.351478},
{1.01375,1.01439,1.01506,1.01574,1.01646,1.01719,1.01795,1.01873,1.01954,1.02037,1.02122,1.0221,1.023,1.02393,1.02487,1.02584,1.02683,1.02784,1.02887,1.02992,1.03098,1.03207,1.03316,1.03428,1.0354,1.03653,1.03768,1.03883,1.03998,1.04114,1.0423,1.04346,1.04461,1.04576,1.04689,1.04802,1.04913,1.05023,1.0513,1.05235,1.05338,1.05437,1.05533,1.05625,1.05714,1.05798,1.05877,1.05951,1.06019,1.06082,1.06138,1.06187,1.0623,1.06265,1.06292,1.06311,1.06321,1.06322,1.06313,1.06295,1.06266,1.06226,1.06174,1.06112,1.06036,1.05949,1.05848,1.05733,1.05605,1.05462,1.05304,1.05131,1.04941,1.04736,1.04514,1.04274,1.04017,1.03741,1.03448,1.03135,1.02803,1.02451,1.0208,1.01688,1.01276,1.00844,1.0039,0.99916,0.994211,0.989055,0.983694,0.97813,0.972367,0.966409,0.960261,0.953929,0.947422,0.940747,0.933915,0.926935,0.919821,0.912584,0.905239,0.897801,0.890285,0.882709,0.875089,0.867443,0.85979,0.852148,0.844536,0.836972,0.829476,0.822064,0.814756,0.807568,0.800515,0.793614,0.786879,0.780321,0.773954,0.767787,0.761828,0.756086,0.750566,0.745273,0.740208,0.735375,0.730772,0.726399,0.722252,0.718329,0.714625,0.711135,0.70785,0.704766,0.701873,0.699164,0.696629,0.69426,0.692047,0.689981,0.688051,0.686249,0.684565,0.682988,0.681509,0.680118,0.678807,0.677564,0.676381,0.675248,0.674157,0.673096,0.672057,0.671031,0.670007,0.668975,0.667925,0.666846,0.665727,0.664556,0.663321,0.662009,0.660606,0.659096,0.657464,0.655693,0.653763,0.651656,0.649349,0.646818,0.64404,0.640986,0.637627,0.633933,0.629869,0.6254,0.620488,0.615092,0.60917,0.602679,0.595574,0.587807,0.579333,0.570105,0.560079,0.549213,0.537468,0.524813,0.511223,0.496683,0.481191,0.46476,0.447417,0.429213,0.410217,0.390525,0.370254,0.349547},
{1.01393,1.01459,1.01527,1.01598,1.01671,1.01747,1.01825,1.01906,1.01989,1.02075,1.02163,1.02254,1.02348,1.02444,1.02542,1.02643,1.02746,1.02852,1.02959,1.03069,1.03181,1.03295,1.0341,1.03528,1.03646,1.03766,1.03888,1.0401,1.04133,1.04256,1.0438,1.04504,1.04628,1.04752,1.04875,1.04997,1.05118,1.05237,1.05355,1.0547,1.05583,1.05694,1.05801,1.05904,1.06004,1.06099,1.0619,1.06276,1.06356,1.06431,1.06499,1.06561,1.06615,1.06662,1.06701,1.06732,1.06754,1.06767,1.0677,1.06763,1.06746,1.06717,1.06677,1.06625,1.06561,1.06484,1.06394,1.0629,1.06171,1.06038,1.0589,1.05726,1.05545,1.05349,1.05135,1.04904,1.04655,1.04387,1.04101,1.03795,1.0347,1.03126,1.02761,1.02375,1.01969,1.01543,1.01095,1.00626,1.00136,0.996258,0.990945,0.985427,0.979708,0.973792,0.967685,0.961392,0.954922,0.948283,0.941484,0.934537,0.927453,0.920246,0.912929,0.905517,0.898027,0.890474,0.882877,0.875252,0.867619,0.859996,0.852402,0.844855,0.837374,0.829977,0.822682,0.815506,0.808466,0.801575,0.79485,0.788301,0.781942,0.775782,0.769831,0.764095,0.75858,0.753291,0.74823,0.7434,0.738799,0.734428,0.730283,0.726361,0.722657,0.719165,0.715879,0.712792,0.709897,0.707184,0.704644,0.70227,0.700051,0.697977,0.696039,0.694228,0.692532,0.690943,0.689451,0.688045,0.686716,0.685455,0.684251,0.683094,0.681976,0.680887,0.679816,0.678754,0.67769,0.676614,0.675516,0.674383,0.673205,0.671969,0.670662,0.66927,0.667778,0.666171,0.664432,0.662543,0.660483,0.658233,0.655768,0.653066,0.650098,0.646838,0.643253,0.639312,0.634979,0.630218,0.624988,0.619249,0.612958,0.606068,0.598535,0.590312,0.581352,0.57161,0.561042,0.549608,0.537273,0.524009,0.509796,0.494625,0.478501,0.461445,0.443497,0.424716,0.405184,0.385008,0.364319,0.34327},
{1.0141,1.01478,1.01547,1.0162,1.01695,1.01773,1.01853,1.01936,1.02022,1.02111,1.02202,1.02296,1.02393,1.02492,1.02594,1.02699,1.02806,1.02916,1.03029,1.03143,1.0326,1.0338,1.03501,1.03624,1.03749,1.03876,1.04004,1.04133,1.04263,1.04395,1.04527,1.04659,1.04792,1.04924,1.05056,1.05188,1.05319,1.05448,1.05576,1.05702,1.05826,1.05947,1.06065,1.0618,1.06291,1.06399,1.06501,1.06599,1.06692,1.06778,1.06859,1.06933,1.07,1.0706,1.07112,1.07155,1.07189,1.07215,1.0723,1.07235,1.0723,1.07214,1.07186,1.07145,1.07093,1.07027,1.06948,1.06854,1.06746,1.06624,1.06486,1.06331,1.06161,1.05974,1.05769,1.05547,1.05306,1.05047,1.04769,1.04471,1.04154,1.03816,1.03458,1.03079,1.0268,1.02259,1.01818,1.01355,1.0087,1.00365,0.998389,0.99292,0.987247,0.981376,0.975311,0.969059,0.962627,0.956025,0.949261,0.942348,0.935296,0.928118,0.92083,0.913446,0.905981,0.898452,0.890878,0.883275,0.875662,0.868057,0.860481,0.85295,0.845485,0.838103,0.830821,0.823658,0.816629,0.809749,0.803033,0.796493,0.790142,0.783989,0.778044,0.772313,0.766804,0.761519,0.756462,0.751635,0.747037,0.742667,0.738523,0.734602,0.730898,0.727405,0.724118,0.72103,0.718132,0.715415,0.712872,0.710493,0.708268,0.706188,0.704243,0.702423,0.700718,0.699119,0.697614,0.696195,0.694851,0.693573,0.69235,0.691174,0.690033,0.688918,0.687819,0.686726,0.685628,0.684514,0.683374,0.682195,0.680966,0.679673,0.678304,0.676843,0.675275,0.673585,0.671754,0.669763,0.667593,0.665221,0.662622,0.659773,0.656645,0.65321,0.649434,0.645284,0.640725,0.635718,0.630223,0.624196,0.617595,0.610374,0.602485,0.593883,0.584522,0.574355,0.563341,0.551442,0.538624,0.524862,0.510142,0.494459,0.477824,0.460265,0.441828,0.422583,0.402619,0.382053,0.361026,0.339697},
{1.01426,1.01495,1.01566,1.0164,1.01717,1.01797,1.01879,1.01965,1.02053,1.02144,1.02238,1.02335,1.02435,1.02538,1.02644,1.02752,1.02864,1.02978,1.03095,1.03214,1.03336,1.03461,1.03588,1.03717,1.03848,1.03981,1.04116,1.04252,1.0439,1.04529,1.04669,1.0481,1.04951,1.05092,1.05234,1.05375,1.05515,1.05655,1.05793,1.0593,1.06064,1.06196,1.06326,1.06453,1.06576,1.06695,1.0681,1.0692,1.07025,1.07125,1.07218,1.07305,1.07385,1.07457,1.07522,1.07578,1.07626,1.07664,1.07693,1.07711,1.07718,1.07714,1.07698,1.07671,1.0763,1.07576,1.07509,1.07427,1.0733,1.07219,1.07091,1.06948,1.06788,1.0661,1.06415,1.06202,1.05971,1.05721,1.05451,1.05162,1.04852,1.04522,1.04172,1.038,1.03408,1.02994,1.02558,1.02101,1.01623,1.01123,1.00603,1.00061,0.994984,0.98916,0.983139,0.97693,0.970539,0.963975,0.957248,0.950369,0.94335,0.936203,0.928945,0.921588,0.914149,0.906645,0.899094,0.891513,0.88392,0.876335,0.868776,0.861262,0.853812,0.846444,0.839176,0.832024,0.825006,0.818136,0.81143,0.804898,0.798555,0.792409,0.78647,0.780745,0.77524,0.769959,0.764905,0.760081,0.755485,0.751117,0.746974,0.743053,0.739349,0.735855,0.732567,0.729477,0.726576,0.723856,0.721309,0.718925,0.716695,0.714608,0.712656,0.710828,0.709114,0.707504,0.705988,0.704556,0.703198,0.701904,0.700663,0.699467,0.698304,0.697165,0.69604,0.694917,0.693786,0.692636,0.691456,0.690233,0.688955,0.687609,0.68618,0.684654,0.683015,0.681246,0.679328,0.677242,0.674967,0.67248,0.669757,0.66677,0.663492,0.659892,0.655938,0.651594,0.646824,0.641588,0.635846,0.629553,0.622666,0.615138,0.606922,0.597972,0.588241,0.577685,0.566264,0.55394,0.540683,0.52647,0.511291,0.495145,0.478049,0.460036,0.441161,0.421499,0.401148,0.380233,0.358901,0.33732},
{1.01441,1.01511,1.01584,1.0166,1.01738,1.0182,1.01904,1.01992,1.02082,1.02176,1.02273,1.02373,1.02476,1.02582,1.02691,1.02803,1.02918,1.03037,1.03158,1.03282,1.03409,1.03539,1.03671,1.03806,1.03943,1.04082,1.04224,1.04367,1.04512,1.04659,1.04807,1.04956,1.05106,1.05256,1.05407,1.05557,1.05707,1.05857,1.06006,1.06153,1.06299,1.06442,1.06583,1.06722,1.06857,1.06988,1.07116,1.07238,1.07356,1.07469,1.07575,1.07675,1.07768,1.07854,1.07933,1.08002,1.08063,1.08115,1.08157,1.08188,1.08209,1.08218,1.08216,1.08201,1.08173,1.08131,1.08076,1.08007,1.07922,1.07822,1.07706,1.07574,1.07425,1.07258,1.07073,1.0687,1.06649,1.06408,1.06147,1.05867,1.05566,1.05244,1.04902,1.04538,1.04152,1.03745,1.03317,1.02866,1.02394,1.01901,1.01385,1.00849,1.00292,0.997142,0.991169,0.985004,0.978655,0.972131,0.965442,0.958599,0.951614,0.9445,0.937271,0.929943,0.922531,0.915052,0.907524,0.899965,0.892393,0.884827,0.877285,0.869788,0.862353,0.854999,0.847743,0.840604,0.833596,0.826736,0.820038,0.813514,0.807178,0.801038,0.795104,0.789383,0.783882,0.778604,0.773553,0.76873,0.764136,0.759768,0.755625,0.751703,0.747997,0.744502,0.741211,0.738116,0.735211,0.732486,0.729933,0.727542,0.725304,0.723209,0.721247,0.719407,0.717681,0.716056,0.714525,0.713075,0.711698,0.710382,0.709118,0.707895,0.706703,0.705532,0.704371,0.703209,0.702034,0.700836,0.699603,0.698321,0.696979,0.695561,0.694054,0.692441,0.690707,0.688833,0.6868,0.684587,0.682173,0.679533,0.676642,0.673473,0.669995,0.666178,0.661986,0.657384,0.652335,0.646796,0.640726,0.634081,0.626816,0.618882,0.610235,0.600826,0.590611,0.579547,0.567593,0.554717,0.540891,0.526097,0.51033,0.493596,0.47592,0.457343,0.43793,0.417767,0.396963,0.375652,0.353993,0.332161},
{1.01455,1.01526,1.016,1.01678,1.01758,1.01841,1.01928,1.02017,1.0211,1.02206,1.02305,1.02408,1.02514,1.02623,1.02736,1.02851,1.0297,1.03093,1.03218,1.03347,1.03479,1.03613,1.03751,1.03892,1.04035,1.0418,1.04328,1.04479,1.04631,1.04785,1.04941,1.05098,1.05256,1.05415,1.05575,1.05735,1.05895,1.06055,1.06214,1.06372,1.06529,1.06684,1.06837,1.06987,1.07134,1.07278,1.07418,1.07554,1.07685,1.0781,1.0793,1.08044,1.08151,1.08251,1.08343,1.08426,1.08501,1.08567,1.08623,1.08668,1.08702,1.08725,1.08737,1.08735,1.08721,1.08692,1.0865,1.08594,1.08522,1.08434,1.0833,1.0821,1.08072,1.07916,1.07743,1.0755,1.07339,1.07108,1.06857,1.06586,1.06294,1.05982,1.05647,1.05292,1.04914,1.04515,1.04093,1.0365,1.03184,1.02697,1.02188,1.01657,1.01105,1.00533,0.999405,0.993287,0.986983,0.980502,0.973853,0.967047,0.960098,0.953017,0.94582,0.938522,0.931138,0.923685,0.916181,0.908644,0.901093,0.893547,0.886023,0.878543,0.871123,0.863783,0.85654,0.849412,0.842416,0.835565,0.828876,0.822361,0.816031,0.809897,0.803969,0.798253,0.792756,0.787482,0.782434,0.777613,0.77302,0.768653,0.764511,0.760589,0.756882,0.753386,0.750093,0.746997,0.744089,0.741361,0.738804,0.736408,0.734165,0.732064,0.730095,0.728248,0.726513,0.724879,0.723337,0.721875,0.720485,0.719154,0.717874,0.716634,0.715422,0.714229,0.713044,0.711856,0.710652,0.709422,0.708153,0.706833,0.705447,0.703982,0.702423,0.700754,0.698957,0.697014,0.694905,0.69261,0.690106,0.687367,0.684369,0.681081,0.677476,0.673518,0.669175,0.66441,0.659182,0.653452,0.647175,0.640309,0.632806,0.624619,0.615702,0.606008,0.595492,0.584111,0.571828,0.558608,0.544429,0.529274,0.51314,0.496037,0.477994,0.459057,0.439295,0.418799,0.397683,0.376088,0.354174,0.332123},
{1.01467,1.0154,1.01616,1.01695,1.01776,1.01861,1.0195,1.02041,1.02136,1.02234,1.02336,1.02441,1.0255,1.02662,1.02778,1.02897,1.0302,1.03146,1.03276,1.03409,1.03545,1.03685,1.03828,1.03974,1.04123,1.04275,1.04429,1.04586,1.04746,1.04907,1.05071,1.05236,1.05403,1.0557,1.05739,1.05909,1.06079,1.06249,1.06418,1.06587,1.06755,1.06922,1.07086,1.07248,1.07408,1.07565,1.07717,1.07866,1.0801,1.0815,1.08283,1.08411,1.08532,1.08646,1.08752,1.0885,1.08939,1.09019,1.09089,1.09149,1.09198,1.09235,1.09261,1.09273,1.09273,1.09258,1.0923,1.09187,1.09128,1.09053,1.08962,1.08854,1.08728,1.08585,1.08423,1.08242,1.08042,1.07821,1.07581,1.0732,1.07037,1.06734,1.06409,1.06062,1.05692,1.05301,1.04887,1.04451,1.03992,1.03512,1.03009,1.02484,1.01938,1.01372,1.00784,1.00177,0.995518,0.98908,0.982473,0.975707,0.968795,0.961749,0.954585,0.947317,0.939961,0.932535,0.925056,0.917542,0.910013,0.902486,0.89498,0.887516,0.880112,0.872786,0.865556,0.858439,0.851453,0.844612,0.83793,0.831422,0.825098,0.81897,0.813046,0.807334,0.80184,0.796568,0.791521,0.786702,0.782109,0.777742,0.773598,0.769674,0.765965,0.762466,0.759169,0.756068,0.753155,0.75042,0.747856,0.745453,0.7432,0.741089,0.739109,0.737249,0.7355,0.733851,0.732291,0.730811,0.729399,0.728045,0.726739,0.72547,0.724227,0.723,0.721776,0.720545,0.719295,0.718013,0.716687,0.715304,0.71385,0.712309,0.710666,0.708905,0.707006,0.704952,0.702722,0.700293,0.697642,0.694743,0.69157,0.688091,0.684276,0.680092,0.675502,0.670468,0.664951,0.658908,0.652295,0.645066,0.637175,0.628576,0.61922,0.609061,0.598057,0.586164,0.573349,0.559581,0.544838,0.529111,0.512403,0.49473,0.476129,0.456655,0.436386,0.415423,0.393891,0.371941,0.34974,0.327478},
{1.01479,1.01553,1.0163,1.0171,1.01794,1.0188,1.0197,1.02064,1.02161,1.02261,1.02365,1.02473,1.02584,1.02699,1.02818,1.02941,1.03067,1.03197,1.03331,1.03468,1.03609,1.03754,1.03902,1.04053,1.04208,1.04365,1.04526,1.0469,1.04856,1.05025,1.05196,1.0537,1.05545,1.05721,1.05899,1.06078,1.06258,1.06438,1.06618,1.06798,1.06977,1.07155,1.07331,1.07506,1.07678,1.07847,1.08013,1.08175,1.08333,1.08486,1.08634,1.08775,1.08911,1.09039,1.0916,1.09273,1.09377,1.09472,1.09557,1.09631,1.09695,1.09747,1.09787,1.09815,1.09829,1.09829,1.09815,1.09785,1.09741,1.0968,1.09602,1.09507,1.09394,1.09263,1.09114,1.08945,1.08756,1.08547,1.08317,1.08067,1.07795,1.07501,1.07186,1.06848,1.06487,1.06104,1.05699,1.0527,1.04819,1.04345,1.03849,1.03331,1.02792,1.02231,1.01649,1.01047,1.00427,0.997876,0.991313,0.984588,0.977715,0.970706,0.963576,0.95634,0.949014,0.941615,0.934162,0.926672,0.919165,0.911658,0.904172,0.896725,0.889336,0.882024,0.874807,0.867702,0.860726,0.853894,0.847221,0.84072,0.834403,0.82828,0.822361,0.816653,0.811162,0.805892,0.800847,0.796029,0.791436,0.787069,0.782925,0.779,0.775289,0.771787,0.768487,0.765383,0.762465,0.759726,0.757156,0.754746,0.752487,0.750367,0.748378,0.746508,0.744748,0.743086,0.741513,0.740017,0.738589,0.737217,0.73589,0.734599,0.733331,0.732076,0.730822,0.729558,0.728271,0.726949,0.725579,0.724147,0.722639,0.721039,0.719331,0.717498,0.715522,0.713383,0.711059,0.708527,0.705764,0.702743,0.699435,0.695811,0.691838,0.687482,0.682705,0.67747,0.671734,0.665456,0.658591,0.651092,0.642913,0.634007,0.624325,0.613823,0.602457,0.590188,0.57698,0.562808,0.547651,0.531503,0.514371,0.496276,0.47726,0.457384,0.436732,0.41541,0.393551,0.37131,0.348861,0.326397},
{1.01491,1.01566,1.01644,1.01725,1.0181,1.01898,1.0199,1.02085,1.02184,1.02286,1.02393,1.02503,1.02617,1.02735,1.02856,1.02982,1.03112,1.03246,1.03383,1.03525,1.0367,1.03819,1.03972,1.04129,1.04289,1.04453,1.0462,1.0479,1.04963,1.05139,1.05318,1.05499,1.05683,1.05868,1.06055,1.06243,1.06433,1.06623,1.06814,1.07004,1.07195,1.07384,1.07572,1.07759,1.07944,1.08126,1.08305,1.08481,1.08652,1.08819,1.08981,1.09137,1.09287,1.0943,1.09566,1.09694,1.09814,1.09924,1.10024,1.10114,1.10194,1.10261,1.10317,1.10359,1.10388,1.10404,1.10404,1.1039,1.10359,1.10313,1.10249,1.10168,1.10069,1.09951,1.09814,1.09658,1.09482,1.09285,1.09067,1.08827,1.08566,1.08283,1.07978,1.07649,1.07298,1.06924,1.06527,1.06107,1.05664,1.05198,1.04709,1.04198,1.03665,1.0311,1.02534,1.01938,1.01323,1.00689,1.00037,0.993688,0.986856,0.979885,0.972791,0.965588,0.958294,0.950924,0.943498,0.936033,0.928548,0.921062,0.913595,0.906165,0.898792,0.891495,0.884291,0.877197,0.870232,0.863409,0.856744,0.85025,0.843939,0.837822,0.831907,0.826202,0.820714,0.815446,0.810402,0.805584,0.800992,0.796624,0.792479,0.788551,0.784838,0.781333,0.77803,0.774921,0.771998,0.769253,0.766676,0.764259,0.761991,0.759862,0.757862,0.755981,0.754208,0.752532,0.750944,0.749431,0.747983,0.74659,0.745241,0.743924,0.742628,0.741342,0.740054,0.738752,0.737424,0.736057,0.734637,0.73315,0.731581,0.729915,0.728135,0.726222,0.724159,0.721923,0.719494,0.716848,0.713959,0.710801,0.707343,0.703557,0.699407,0.694858,0.689874,0.684413,0.678436,0.671896,0.664751,0.656952,0.648453,0.639206,0.629165,0.618284,0.60652,0.593836,0.580199,0.565583,0.549975,0.53337,0.515779,0.49723,0.47777,0.457466,0.43641,0.414714,0.392519,0.369984,0.34729,0.324635},
{1.01501,1.01577,1.01656,1.01739,1.01825,1.01915,1.02008,1.02105,1.02206,1.0231,1.02419,1.02531,1.02647,1.02768,1.02893,1.03022,1.03155,1.03292,1.03433,1.03579,1.03728,1.03882,1.0404,1.04202,1.04367,1.04537,1.0471,1.04886,1.05066,1.0525,1.05436,1.05625,1.05816,1.0601,1.06206,1.06404,1.06603,1.06804,1.07005,1.07206,1.07408,1.07609,1.07809,1.08008,1.08206,1.08401,1.08593,1.08782,1.08968,1.09149,1.09325,1.09496,1.09661,1.0982,1.09971,1.10114,1.10249,1.10375,1.10492,1.10598,1.10693,1.10776,1.10848,1.10906,1.10951,1.10982,1.10998,1.10999,1.10984,1.10952,1.10903,1.10837,1.10752,1.10648,1.10525,1.10382,1.10218,1.10034,1.09828,1.09601,1.09351,1.09079,1.08785,1.08467,1.08126,1.07761,1.07374,1.06962,1.06527,1.06069,1.05588,1.05084,1.04558,1.0401,1.0344,1.0285,1.0224,1.01611,1.00965,1.00301,0.996222,0.989292,0.982235,0.975068,0.967806,0.960467,0.953068,0.945629,0.938168,0.930704,0.923257,0.915845,0.908489,0.901206,0.894015,0.886934,0.879979,0.873166,0.866509,0.860022,0.853717,0.847605,0.841694,0.835993,0.830507,0.825241,0.820199,0.815381,0.810789,0.806421,0.802274,0.798345,0.794629,0.791121,0.787814,0.7847,0.781772,0.779022,0.776439,0.774014,0.771738,0.769601,0.767591,0.765699,0.763914,0.762225,0.760622,0.759093,0.757627,0.756215,0.754844,0.753503,0.752181,0.750866,0.749547,0.74821,0.746844,0.745435,0.743968,0.742431,0.740807,0.73908,0.737232,0.735247,0.733103,0.730779,0.728254,0.725503,0.722499,0.719216,0.715623,0.711689,0.707378,0.702656,0.697484,0.691821,0.685624,0.67885,0.671453,0.663386,0.654601,0.64505,0.634688,0.623469,0.611352,0.598299,0.584281,0.569273,0.553264,0.536254,0.518257,0.499306,0.47945,0.458765,0.437346,0.415312,0.392807,0.369999,0.34707,0.324221},
{1.0151,1.01587,1.01668,1.01752,1.01839,1.0193,1.02025,1.02123,1.02226,1.02332,1.02443,1.02558,1.02676,1.028,1.02927,1.03059,1.03195,1.03336,1.03481,1.0363,1.03784,1.03942,1.04104,1.04271,1.04442,1.04617,1.04796,1.04979,1.05166,1.05356,1.0555,1.05747,1.05946,1.06149,1.06353,1.0656,1.06769,1.0698,1.07191,1.07404,1.07616,1.07829,1.08041,1.08253,1.08463,1.08671,1.08877,1.0908,1.0928,1.09475,1.09666,1.09852,1.10033,1.10206,1.10373,1.10533,1.10684,1.10826,1.10958,1.11081,1.11192,1.11292,1.1138,1.11455,1.11516,1.11563,1.11596,1.11613,1.11613,1.11597,1.11564,1.11513,1.11443,1.11353,1.11245,1.11116,1.10966,1.10795,1.10602,1.10387,1.1015,1.0989,1.09606,1.09299,1.08969,1.08615,1.08237,1.07835,1.07409,1.06959,1.06486,1.0599,1.05471,1.0493,1.04367,1.03783,1.03179,1.02556,1.01914,1.01256,1.00581,0.998925,0.991908,0.984778,0.97755,0.970243,0.962874,0.955461,0.948025,0.940583,0.933157,0.925764,0.918424,0.911157,0.903979,0.89691,0.889966,0.883162,0.876513,0.870033,0.863734,0.857626,0.85172,0.846021,0.840538,0.835273,0.830231,0.825414,0.82082,0.81645,0.812301,0.80837,0.80465,0.801138,0.797826,0.794707,0.791773,0.789015,0.786424,0.783991,0.781705,0.779556,0.777535,0.775629,0.773829,0.772124,0.770503,0.768954,0.767468,0.766031,0.764634,0.763264,0.761911,0.760561,0.759203,0.757825,0.756412,0.754952,0.75343,0.751831,0.750139,0.748338,0.74641,0.744335,0.742094,0.739664,0.737022,0.734144,0.731002,0.727567,0.72381,0.719696,0.715192,0.710259,0.704859,0.698951,0.69249,0.685432,0.677731,0.66934,0.66021,0.650294,0.639546,0.627922,0.615381,0.601889,0.587417,0.571944,0.555463,0.537976,0.519505,0.500087,0.479778,0.45866,0.436835,0.414431,0.391597,0.368507,0.345348,0.322327},
{1.01519,1.01597,1.01679,1.01764,1.01852,1.01945,1.02041,1.02141,1.02245,1.02353,1.02466,1.02583,1.02704,1.02829,1.0296,1.03094,1.03233,1.03377,1.03526,1.03679,1.03837,1.03999,1.04166,1.04338,1.04514,1.04695,1.0488,1.05069,1.05262,1.05459,1.0566,1.05864,1.06072,1.06283,1.06496,1.06713,1.06931,1.07151,1.07373,1.07597,1.0782,1.08045,1.08269,1.08493,1.08716,1.08937,1.09157,1.09374,1.09588,1.09798,1.10004,1.10205,1.10401,1.1059,1.10773,1.10949,1.11116,1.11275,1.11424,1.11563,1.11692,1.11809,1.11913,1.12005,1.12084,1.12148,1.12197,1.1223,1.12247,1.12248,1.1223,1.12195,1.12141,1.12067,1.11973,1.11859,1.11723,1.11566,1.11387,1.11186,1.10961,1.10713,1.10442,1.10147,1.09828,1.09484,1.09116,1.08724,1.08308,1.07868,1.07403,1.06915,1.06404,1.0587,1.05314,1.04737,1.04139,1.03522,1.02886,1.02233,1.01563,1.00879,1.00181,0.994723,0.987532,0.980258,0.97292,0.965536,0.958125,0.950708,0.943302,0.935929,0.928607,0.921355,0.914192,0.907135,0.900202,0.893407,0.886767,0.880294,0.874001,0.867898,0.861995,0.8563,0.850818,0.845555,0.840514,0.835696,0.831102,0.826731,0.822579,0.818644,0.814922,0.811405,0.808088,0.804964,0.802023,0.799258,0.796659,0.794217,0.791922,0.789762,0.787729,0.78581,0.783996,0.782275,0.780636,0.779069,0.777561,0.776101,0.774678,0.773281,0.771897,0.770513,0.769118,0.767699,0.766242,0.764732,0.763157,0.761499,0.759742,0.75787,0.755864,0.753704,0.75137,0.748838,0.746086,0.743086,0.739812,0.736233,0.73232,0.728036,0.723348,0.718217,0.712602,0.706462,0.699753,0.692429,0.684443,0.675748,0.666296,0.656039,0.644931,0.63293,0.619996,0.606097,0.591204,0.575301,0.558382,0.540457,0.521547,0.501698,0.480971,0.459452,0.437251,0.414501,0.391358,0.367999,0.344617,0.321419},
{1.01527,1.01606,1.01689,1.01775,1.01864,1.01958,1.02056,1.02157,1.02263,1.02373,1.02487,1.02606,1.0273,1.02858,1.0299,1.03128,1.0327,1.03417,1.03569,1.03726,1.03887,1.04054,1.04226,1.04402,1.04583,1.04769,1.0496,1.05155,1.05354,1.05558,1.05766,1.05978,1.06194,1.06413,1.06635,1.0686,1.07088,1.07319,1.07551,1.07785,1.0802,1.08256,1.08492,1.08729,1.08965,1.09199,1.09432,1.09663,1.09892,1.10117,1.10338,1.10554,1.10766,1.10971,1.1117,1.11362,1.11547,1.11722,1.11889,1.12045,1.12191,1.12325,1.12447,1.12557,1.12653,1.12734,1.12801,1.12851,1.12886,1.12903,1.12903,1.12884,1.12846,1.12788,1.1271,1.12611,1.12491,1.12348,1.12184,1.11996,1.11785,1.11551,1.11292,1.11009,1.10702,1.1037,1.10013,1.09631,1.09225,1.08794,1.08339,1.0786,1.07357,1.06831,1.06283,1.05712,1.05121,1.0451,1.0388,1.03232,1.02568,1.01888,1.01195,1.0049,0.99775,0.990512,0.983206,0.975852,0.968468,0.961075,0.953693,0.94634,0.939036,0.9318,0.924651,0.917607,0.910685,0.9039,0.897268,0.890802,0.884515,0.878416,0.872517,0.866824,0.861344,0.856082,0.85104,0.846221,0.841625,0.837251,0.833097,0.829158,0.82543,0.821908,0.818585,0.815453,0.812505,0.809731,0.807122,0.804669,0.802361,0.800188,0.79814,0.796205,0.794373,0.792632,0.790972,0.78938,0.787846,0.786358,0.784904,0.783471,0.782049,0.780624,0.779183,0.777713,0.7762,0.77463,0.772987,0.771256,0.769419,0.767459,0.765357,0.763091,0.760641,0.757983,0.755093,0.751942,0.748504,0.744748,0.74064,0.736146,0.73123,0.725852,0.719971,0.713545,0.706528,0.698874,0.690536,0.681466,0.671616,0.660939,0.64939,0.636927,0.623513,0.609116,0.593712,0.577289,0.559844,0.541393,0.521965,0.501609,0.480396,0.45842,0.435798,0.41267,0.389201,0.365574,0.341986,0.318647},
{1.01535,1.01615,1.01698,1.01785,1.01876,1.01971,1.0207,1.02173,1.0228,1.02392,1.02508,1.02628,1.02754,1.02884,1.03019,1.03159,1.03304,1.03454,1.0361,1.0377,1.03936,1.04106,1.04282,1.04463,1.04649,1.0484,1.05037,1.05238,1.05443,1.05654,1.05869,1.06088,1.06311,1.06539,1.0677,1.07004,1.07241,1.07481,1.07724,1.07969,1.08215,1.08463,1.08711,1.0896,1.09208,1.09456,1.09703,1.09948,1.10191,1.10431,1.10667,1.109,1.11127,1.11349,1.11565,1.11774,1.11975,1.12168,1.12352,1.12526,1.12689,1.12841,1.12982,1.13109,1.13223,1.13323,1.13407,1.13476,1.13528,1.13563,1.1358,1.13578,1.13557,1.13516,1.13455,1.13372,1.13268,1.13141,1.12991,1.12818,1.12622,1.12401,1.12156,1.11886,1.11591,1.11271,1.10926,1.10556,1.1016,1.09739,1.09294,1.08824,1.0833,1.07812,1.07272,1.06709,1.06125,1.0552,1.04896,1.04254,1.03596,1.02921,1.02233,1.01532,1.00821,1.00101,0.99374,0.986418,0.979063,0.971697,0.964337,0.957006,0.949721,0.942503,0.935369,0.928339,0.921428,0.914654,0.90803,0.901571,0.89529,0.889197,0.883301,0.877611,0.872133,0.866871,0.86183,0.85701,0.852412,0.848036,0.843878,0.839936,0.836203,0.832676,0.829347,0.826208,0.823252,0.820469,0.817851,0.815387,0.813068,0.810883,0.80882,0.80687,0.805021,0.803262,0.801581,0.799968,0.798409,0.796894,0.79541,0.793946,0.792488,0.791024,0.78954,0.788024,0.78646,0.784833,0.783129,0.78133,0.77942,0.777378,0.775187,0.772825,0.770269,0.767496,0.764479,0.761192,0.757605,0.753686,0.749402,0.744718,0.739596,0.733995,0.727875,0.721191,0.713898,0.705949,0.697296,0.687892,0.677688,0.666637,0.654696,0.641823,0.627983,0.613146,0.597291,0.580409,0.562502,0.543587,0.5237,0.502896,0.481253,0.45887,0.435869,0.412399,0.388629,0.364746,0.340953,0.31746},
{1.01542,1.01622,1.01706,1.01794,1.01886,1.01982,1.02082,1.02187,1.02296,1.02409,1.02527,1.02649,1.02777,1.02909,1.03047,1.03189,1.03337,1.0349,1.03649,1.03812,1.03981,1.04156,1.04336,1.04522,1.04713,1.04909,1.0511,1.05317,1.05529,1.05746,1.05968,1.06194,1.06425,1.06661,1.069,1.07143,1.0739,1.0764,1.07893,1.08148,1.08405,1.08665,1.08925,1.09186,1.09448,1.09709,1.0997,1.10229,1.10486,1.10741,1.10993,1.11241,1.11485,1.11723,1.11956,1.12182,1.124,1.12611,1.12813,1.13005,1.13186,1.13357,1.13516,1.13662,1.13794,1.13912,1.14015,1.14103,1.14173,1.14226,1.14262,1.14278,1.14275,1.14251,1.14207,1.14141,1.14053,1.13943,1.13809,1.13652,1.1347,1.13264,1.13033,1.12777,1.12495,1.12188,1.11855,1.11496,1.11112,1.10702,1.10267,1.09807,1.09322,1.08814,1.08282,1.07727,1.0715,1.06553,1.05936,1.053,1.04647,1.03978,1.03295,1.02599,1.01892,1.01176,1.00452,0.997231,0.989907,0.982568,0.975234,0.967925,0.960661,0.95346,0.946343,0.939326,0.932427,0.925663,0.919049,0.912597,0.906322,0.900233,0.894341,0.888653,0.883176,0.877915,0.872873,0.868052,0.863452,0.859072,0.85491,0.850963,0.847225,0.843691,0.840354,0.837207,0.834242,0.831449,0.828819,0.826343,0.824009,0.821808,0.819729,0.817761,0.815892,0.81411,0.812405,0.810764,0.809177,0.807629,0.80611,0.804607,0.803106,0.801595,0.800061,0.798488,0.796862,0.795168,0.793389,0.791509,0.789509,0.787371,0.785073,0.782594,0.779911,0.776999,0.773831,0.770379,0.766612,0.762499,0.758004,0.753091,0.747721,0.741854,0.735446,0.728454,0.72083,0.712528,0.703499,0.693696,0.683069,0.671575,0.659168,0.645811,0.631468,0.616114,0.59973,0.582312,0.563866,0.544417,0.524006,0.502695,0.480569,0.457736,0.434326,0.410496,0.38642,0.362292,0.338319,0.314711},
{1.01548,1.01629,1.01714,1.01803,1.01896,1.01993,1.02094,1.022,1.0231,1.02425,1.02544,1.02669,1.02798,1.02933,1.03073,1.03218,1.03368,1.03524,1.03685,1.03852,1.04025,1.04204,1.04388,1.04577,1.04773,1.04974,1.05181,1.05394,1.05611,1.05835,1.06063,1.06297,1.06535,1.06779,1.07026,1.07278,1.07534,1.07794,1.08057,1.08323,1.08591,1.08862,1.09134,1.09408,1.09682,1.09957,1.10232,1.10505,1.10777,1.11047,1.11315,1.11579,1.11838,1.12094,1.12343,1.12586,1.12823,1.13051,1.13271,1.13482,1.13682,1.13872,1.14049,1.14214,1.14366,1.14503,1.14626,1.14732,1.14822,1.14894,1.14948,1.14983,1.14998,1.14993,1.14966,1.14918,1.14848,1.14754,1.14637,1.14496,1.1433,1.14139,1.13923,1.13682,1.13414,1.1312,1.128,1.12454,1.12082,1.11684,1.11259,1.1081,1.10335,1.09836,1.09313,1.08766,1.08198,1.07608,1.06997,1.06368,1.05721,1.05058,1.0438,1.03689,1.02987,1.02275,1.01556,1.0083,1.00101,0.993702,0.986394,0.979109,0.971866,0.964685,0.957585,0.950583,0.943697,0.936944,0.930339,0.923896,0.917627,0.911544,0.905655,0.899971,0.894495,0.889235,0.884193,0.87937,0.874768,0.870386,0.86622,0.862268,0.858525,0.854985,0.851641,0.848487,0.845512,0.84271,0.84007,0.837581,0.835235,0.83302,0.830926,0.82894,0.827052,0.825251,0.823523,0.821858,0.820243,0.818666,0.817115,0.815576,0.814037,0.812484,0.810902,0.809278,0.807597,0.805842,0.803996,0.802043,0.799963,0.797737,0.795344,0.792761,0.789964,0.786928,0.783626,0.780027,0.776101,0.771815,0.767134,0.762019,0.756432,0.75033,0.74367,0.736408,0.728495,0.719885,0.710528,0.700378,0.689385,0.677506,0.664697,0.65092,0.636143,0.620343,0.603504,0.585624,0.566715,0.546804,0.52594,0.504188,0.481641,0.458412,0.434637,0.410479,0.386117,0.361749,0.337584,0.313833},
{1.01554,1.01636,1.01721,1.01811,1.01905,1.02003,1.02105,1.02212,1.02324,1.0244,1.02561,1.02687,1.02818,1.02955,1.03097,1.03244,1.03397,1.03556,1.0372,1.0389,1.04067,1.04249,1.04437,1.04631,1.04831,1.05037,1.05249,1.05467,1.05691,1.0592,1.06155,1.06396,1.06642,1.06893,1.07149,1.07409,1.07674,1.07943,1.08216,1.08493,1.08772,1.09054,1.09339,1.09625,1.09912,1.102,1.10489,1.10777,1.11063,1.11349,1.11632,1.11912,1.12188,1.1246,1.12727,1.12988,1.13242,1.13489,1.13728,1.13957,1.14176,1.14385,1.14582,1.14767,1.14938,1.15095,1.15237,1.15363,1.15472,1.15564,1.15638,1.15692,1.15726,1.1574,1.15732,1.15703,1.1565,1.15574,1.15475,1.15351,1.15201,1.15027,1.14826,1.146,1.14347,1.14067,1.13761,1.13428,1.13069,1.12682,1.1227,1.11831,1.11367,1.10878,1.10364,1.09827,1.09267,1.08685,1.08082,1.0746,1.06819,1.06162,1.0549,1.04805,1.04107,1.034,1.02684,1.01963,1.01237,1.00509,0.997812,0.990552,0.983332,0.976171,0.969088,0.962102,0.95523,0.948489,0.941893,0.935458,0.929196,0.923117,0.917233,0.91155,0.906077,0.900816,0.895773,0.890948,0.886344,0.881957,0.877787,0.873829,0.870079,0.866531,0.863179,0.860014,0.857029,0.854214,0.851561,0.849058,0.846696,0.844463,0.842349,0.840342,0.838431,0.836603,0.834848,0.833152,0.831503,0.82989,0.828298,0.826714,0.825126,0.82352,0.82188,0.820192,0.81844,0.816608,0.814678,0.812633,0.810453,0.808117,0.805603,0.802889,0.799949,0.796757,0.793285,0.789502,0.785376,0.780873,0.775956,0.770587,0.764725,0.758328,0.751352,0.743749,0.735474,0.726477,0.71671,0.706125,0.694676,0.682316,0.669006,0.65471,0.639397,0.623047,0.605649,0.587206,0.567736,0.547271,0.525868,0.5036,0.480567,0.456891,0.432717,0.408213,0.383566,0.358978,0.334662,0.310828},
{1.01559,1.01641,1.01728,1.01819,1.01913,1.02012,1.02116,1.02224,1.02336,1.02454,1.02577,1.02704,1.02837,1.02976,1.0312,1.03269,1.03425,1.03586,1.03753,1.03927,1.04106,1.04292,1.04483,1.04682,1.04886,1.05097,1.05314,1.05537,1.05766,1.06002,1.06244,1.06491,1.06744,1.07003,1.07267,1.07536,1.0781,1.08089,1.08372,1.08658,1.08949,1.09242,1.09539,1.09837,1.10137,1.10439,1.10741,1.11043,1.11345,1.11645,1.11944,1.1224,1.12534,1.12823,1.13107,1.13386,1.13658,1.13924,1.14181,1.1443,1.14669,1.14897,1.15114,1.15318,1.1551,1.15687,1.15849,1.15996,1.16125,1.16237,1.16331,1.16405,1.1646,1.16493,1.16505,1.16494,1.16461,1.16404,1.16322,1.16216,1.16084,1.15926,1.15742,1.15532,1.15294,1.1503,1.14738,1.14419,1.14073,1.13699,1.13299,1.12872,1.12419,1.1194,1.11437,1.10909,1.10358,1.09784,1.0919,1.08575,1.07942,1.07291,1.06625,1.05945,1.05253,1.0455,1.03839,1.03122,1.024,1.01675,1.0095,1.00227,0.995075,0.987936,0.980873,0.973903,0.967046,0.960318,0.953733,0.947307,0.941052,0.93498,0.9291,0.923421,0.917949,0.91269,0.907646,0.902821,0.898214,0.893824,0.88965,0.885687,0.881931,0.878377,0.875017,0.871844,0.86885,0.866024,0.863359,0.860844,0.858468,0.85622,0.854089,0.852064,0.850133,0.848283,0.846504,0.844782,0.843104,0.841459,0.839833,0.838212,0.836583,0.834931,0.833242,0.8315,0.829689,0.827793,0.825793,0.82367,0.821406,0.818978,0.816365,0.813542,0.810484,0.807163,0.803551,0.799616,0.795326,0.790645,0.785536,0.77996,0.773876,0.76724,0.760007,0.75213,0.743562,0.734254,0.724158,0.713225,0.701409,0.688666,0.674957,0.660245,0.644505,0.627717,0.609874,0.59098,0.571059,0.550149,0.528308,0.505617,0.482181,0.458127,0.433605,0.408789,0.38387,0.359052,0.334549,0.310572},
{1.01563,1.01647,1.01734,1.01825,1.01921,1.02021,1.02125,1.02234,1.02348,1.02467,1.02591,1.0272,1.02855,1.02995,1.03141,1.03293,1.03451,1.03614,1.03784,1.03961,1.04143,1.04332,1.04528,1.0473,1.04939,1.05154,1.05376,1.05604,1.05839,1.06081,1.06329,1.06583,1.06843,1.07109,1.07381,1.07659,1.07942,1.0823,1.08522,1.0882,1.09121,1.09426,1.09734,1.10044,1.10357,1.10672,1.10988,1.11305,1.11621,1.11937,1.12252,1.12565,1.12874,1.13181,1.13483,1.1378,1.14071,1.14355,1.14631,1.14899,1.15158,1.15407,1.15644,1.15869,1.16081,1.16279,1.16462,1.16629,1.1678,1.16913,1.17027,1.17122,1.17197,1.17251,1.17283,1.17292,1.17278,1.17241,1.17178,1.1709,1.16976,1.16836,1.1667,1.16476,1.16255,1.16006,1.1573,1.15425,1.15093,1.14733,1.14346,1.13931,1.1349,1.13023,1.1253,1.12012,1.11471,1.10906,1.1032,1.09713,1.09087,1.08444,1.07784,1.0711,1.06423,1.05726,1.05019,1.04306,1.03588,1.02867,1.02145,1.01425,1.00708,0.999964,0.992921,0.98597,0.979128,0.972412,0.965839,0.959422,0.953174,0.947107,0.941231,0.935555,0.930084,0.924824,0.919779,0.914951,0.91034,0.905946,0.901765,0.897795,0.894031,0.890467,0.887097,0.883912,0.880904,0.878064,0.875383,0.87285,0.870454,0.868184,0.86603,0.863979,0.862019,0.860139,0.858326,0.856566,0.854848,0.853158,0.851483,0.849809,0.848121,0.846405,0.844645,0.842826,0.840931,0.838942,0.836841,0.834608,0.832224,0.829664,0.826907,0.823928,0.820699,0.817193,0.813379,0.809226,0.804698,0.799761,0.794374,0.788499,0.782092,0.77511,0.767506,0.759232,0.750242,0.740485,0.729914,0.71848,0.706138,0.692845,0.678564,0.663262,0.646916,0.629511,0.611044,0.591527,0.570989,0.549476,0.527055,0.503816,0.479873,0.455361,0.430441,0.405293,0.380116,0.355116,0.330511,0.306509},
{1.01567,1.01651,1.01739,1.01831,1.01928,1.02028,1.02134,1.02244,1.02359,1.02479,1.02604,1.02735,1.02871,1.03013,1.03161,1.03315,1.03475,1.03641,1.03814,1.03993,1.04179,1.04371,1.0457,1.04776,1.04989,1.05208,1.05435,1.05669,1.05909,1.06156,1.0641,1.06671,1.06938,1.07212,1.07492,1.07778,1.08069,1.08366,1.08669,1.08976,1.09288,1.09604,1.09924,1.10247,1.10573,1.10901,1.11231,1.11562,1.11893,1.12224,1.12555,1.12884,1.13211,1.13534,1.13854,1.14169,1.14479,1.14782,1.15079,1.15366,1.15645,1.15914,1.16172,1.16418,1.16651,1.1687,1.17075,1.17264,1.17436,1.1759,1.17726,1.17843,1.17939,1.18014,1.18067,1.18097,1.18103,1.18085,1.18043,1.17974,1.1788,1.17758,1.1761,1.17433,1.17229,1.16997,1.16737,1.16448,1.1613,1.15785,1.15411,1.1501,1.14581,1.14126,1.13644,1.13137,1.12606,1.12051,1.11473,1.10875,1.10257,1.09621,1.08968,1.08301,1.0762,1.06928,1.06227,1.05518,1.04804,1.04087,1.03369,1.02651,1.01937,1.01228,1.00526,0.998328,0.991502,0.984801,0.97824,0.971834,0.965594,0.959534,0.953663,0.94799,0.942522,0.937263,0.932217,0.927388,0.922774,0.918376,0.91419,0.910214,0.906443,0.902871,0.899491,0.896296,0.893276,0.890424,0.887728,0.885179,0.882766,0.880478,0.878303,0.876229,0.874245,0.872337,0.870494,0.868702,0.866949,0.86522,0.863502,0.861781,0.860042,0.858271,0.85645,0.854565,0.852597,0.850529,0.848341,0.846014,0.843526,0.840855,0.837976,0.834863,0.83149,0.827827,0.823843,0.819505,0.814778,0.809624,0.804006,0.79788,0.791204,0.783934,0.776022,0.76742,0.758079,0.747952,0.736989,0.725143,0.712369,0.698626,0.683877,0.668093,0.651252,0.633342,0.614366,0.594339,0.573295,0.551285,0.528384,0.504688,0.480316,0.455411,0.43014,0.404688,0.379256,0.354056,0.329304,0.305208},
{1.01571,1.01655,1.01744,1.01837,1.01934,1.02035,1.02142,1.02253,1.02369,1.0249,1.02617,1.02749,1.02887,1.0303,1.0318,1.03336,1.03498,1.03666,1.03842,1.04023,1.04212,1.04408,1.0461,1.0482,1.05036,1.0526,1.05492,1.0573,1.05976,1.06229,1.06489,1.06756,1.0703,1.07311,1.07598,1.07892,1.08192,1.08499,1.08811,1.09128,1.09451,1.09778,1.10109,1.10444,1.10783,1.11124,1.11468,1.11813,1.1216,1.12507,1.12853,1.13199,1.13542,1.13883,1.14221,1.14555,1.14884,1.15206,1.15522,1.1583,1.16129,1.16419,1.16698,1.16965,1.1722,1.17461,1.17687,1.17898,1.18093,1.18269,1.18427,1.18566,1.18684,1.18781,1.18855,1.18907,1.18935,1.18938,1.18915,1.18867,1.18792,1.1869,1.18561,1.18403,1.18217,1.18002,1.17758,1.17485,1.17184,1.16853,1.16494,1.16107,1.15691,1.15248,1.14779,1.14283,1.13762,1.13218,1.1265,1.12061,1.11451,1.10823,1.10177,1.09517,1.08842,1.08156,1.0746,1.06756,1.06047,1.05334,1.04619,1.03905,1.03194,1.02488,1.01788,1.01097,1.00416,0.997473,0.990925,0.984529,0.978298,0.972245,0.966379,0.96071,0.955243,0.949984,0.944938,0.940106,0.935488,0.931085,0.926894,0.92291,0.919131,0.915549,0.912157,0.908949,0.905916,0.903048,0.900335,0.897767,0.895334,0.893023,0.890823,0.888722,0.886708,0.884768,0.882889,0.881058,0.879262,0.877486,0.875717,0.87394,0.872141,0.870302,0.868408,0.866443,0.864388,0.862224,0.859932,0.857492,0.85488,0.852073,0.849047,0.845774,0.842227,0.838375,0.834186,0.829626,0.824659,0.819247,0.813349,0.806923,0.799925,0.792309,0.784028,0.775033,0.765275,0.754705,0.743276,0.73094,0.717653,0.703377,0.688076,0.671723,0.654301,0.635803,0.616235,0.595619,0.573994,0.551422,0.527982,0.503779,0.478942,0.45362,0.427987,0.402236,0.376572,0.35121,0.326363,0.30224},
{1.01574,1.01659,1.01748,1.01842,1.01939,1.02042,1.02149,1.02261,1.02378,1.025,1.02628,1.02762,1.02901,1.03046,1.03198,1.03355,1.03519,1.0369,1.03868,1.04052,1.04243,1.04442,1.04648,1.04861,1.05082,1.0531,1.05546,1.05789,1.0604,1.06298,1.06564,1.06837,1.07118,1.07406,1.07701,1.08003,1.08312,1.08627,1.08948,1.09276,1.09609,1.09947,1.1029,1.10637,1.10988,1.11343,1.117,1.1206,1.12421,1.12784,1.13146,1.13508,1.13869,1.14228,1.14584,1.14936,1.15284,1.15626,1.15962,1.1629,1.1661,1.16921,1.17222,1.17511,1.17787,1.18051,1.183,1.18533,1.1875,1.18949,1.1913,1.19291,1.19432,1.19552,1.19649,1.19722,1.19772,1.19797,1.19796,1.19769,1.19715,1.19633,1.19523,1.19384,1.19217,1.1902,1.18794,1.18539,1.18254,1.17939,1.17595,1.17222,1.16821,1.16391,1.15934,1.1545,1.14941,1.14407,1.1385,1.1327,1.1267,1.1205,1.11412,1.10758,1.10091,1.09411,1.0872,1.08022,1.07317,1.06609,1.05898,1.05188,1.0448,1.03776,1.03079,1.0239,1.01711,1.01044,1.00391,0.997525,0.991305,0.985259,0.979399,0.973734,0.96827,0.963012,0.957965,0.953131,0.948511,0.944103,0.939906,0.935915,0.932127,0.928536,0.925134,0.921913,0.918866,0.915983,0.913253,0.910667,0.908213,0.90588,0.903656,0.901528,0.899485,0.897512,0.895598,0.893729,0.891891,0.89007,0.888251,0.886419,0.884559,0.882655,0.88069,0.878647,0.876507,0.87425,0.871857,0.869306,0.866574,0.863637,0.860468,0.857041,0.853326,0.849292,0.844906,0.840133,0.834936,0.829276,0.823111,0.816399,0.809094,0.801149,0.792517,0.78315,0.772997,0.762009,0.75014,0.737343,0.723575,0.708797,0.692979,0.676095,0.658132,0.639085,0.618966,0.597802,0.575639,0.552544,0.528603,0.50393,0.478658,0.452945,0.426971,0.400933,0.375041,0.34951,0.324554,0.300378},
{1.01577,1.01662,1.01752,1.01846,1.01944,1.02047,1.02155,1.02268,1.02386,1.0251,1.02639,1.02773,1.02914,1.03061,1.03214,1.03373,1.03539,1.03712,1.03892,1.04079,1.04273,1.04475,1.04684,1.049,1.05125,1.05357,1.05597,1.05845,1.06101,1.06364,1.06636,1.06915,1.07202,1.07497,1.078,1.0811,1.08427,1.08751,1.09081,1.09419,1.09762,1.10111,1.10465,1.10825,1.11189,1.11556,1.11927,1.12301,1.12678,1.13055,1.13434,1.13812,1.1419,1.14567,1.14941,1.15312,1.15679,1.16041,1.16397,1.16746,1.17088,1.1742,1.17742,1.18053,1.18353,1.18639,1.1891,1.19167,1.19407,1.1963,1.19834,1.20019,1.20183,1.20326,1.20446,1.20543,1.20615,1.20662,1.20684,1.20678,1.20646,1.20585,1.20496,1.20377,1.20229,1.20052,1.19844,1.19607,1.19339,1.19041,1.18713,1.18355,1.17969,1.17553,1.17109,1.16639,1.16141,1.15619,1.15072,1.14503,1.13912,1.13301,1.12671,1.12025,1.11365,1.10691,1.10007,1.09314,1.08615,1.07911,1.07204,1.06498,1.05793,1.05093,1.04398,1.03711,1.03035,1.0237,1.01718,1.01081,1.0046,0.998558,0.992703,0.987042,0.981579,0.976322,0.971273,0.966436,0.96181,0.957396,0.953191,0.949191,0.945392,0.941788,0.938372,0.935135,0.93207,0.929167,0.926416,0.923806,0.921326,0.918963,0.916707,0.914545,0.912463,0.91045,0.90849,0.906571,0.904678,0.902797,0.900913,0.89901,0.897072,0.895083,0.893024,0.890879,0.888628,0.88625,0.883724,0.881029,0.878139,0.875031,0.871676,0.868047,0.864112,0.85984,0.855197,0.850145,0.844647,0.838662,0.832149,0.825062,0.817355,0.808982,0.799894,0.79004,0.779373,0.767844,0.755404,0.74201,0.727621,0.7122,0.695719,0.678158,0.659507,0.639768,0.61896,0.597119,0.574297,0.550571,0.526037,0.500819,0.475061,0.44893,0.422613,0.396314,0.370247,0.344628,0.31967,0.295569},
{1.01579,1.01665,1.01755,1.01849,1.01949,1.02052,1.02161,1.02275,1.02394,1.02518,1.02648,1.02784,1.02926,1.03074,1.03229,1.0339,1.03558,1.03733,1.03915,1.04104,1.04301,1.04505,1.04718,1.04938,1.05165,1.05401,1.05646,1.05898,1.06159,1.06428,1.06705,1.0699,1.07284,1.07585,1.07895,1.08213,1.08538,1.0887,1.0921,1.09557,1.09911,1.10271,1.10636,1.11008,1.11384,1.11765,1.1215,1.12538,1.12929,1.13322,1.13716,1.14112,1.14507,1.14901,1.15294,1.15684,1.1607,1.16452,1.16829,1.17199,1.17562,1.17916,1.1826,1.18594,1.18916,1.19225,1.19521,1.19801,1.20065,1.20311,1.2054,1.20748,1.20937,1.21103,1.21248,1.21368,1.21464,1.21535,1.21579,1.21597,1.21586,1.21547,1.2148,1.21382,1.21255,1.21098,1.20909,1.2069,1.20441,1.2016,1.19849,1.19508,1.19137,1.18736,1.18307,1.1785,1.17365,1.16855,1.1632,1.15761,1.1518,1.14578,1.13958,1.1332,1.12667,1.12001,1.11324,1.10637,1.09943,1.09244,1.08542,1.0784,1.07139,1.06442,1.0575,1.05066,1.04392,1.03729,1.03079,1.02443,1.01824,1.01221,1.00636,1.00071,0.995252,0.989998,0.984952,0.980115,0.975489,0.971073,0.966864,0.96286,0.959055,0.955444,0.95202,0.948774,0.945699,0.942784,0.94002,0.937395,0.934899,0.93252,0.930245,0.928061,0.925957,0.923919,0.921932,0.919983,0.918058,0.916142,0.914219,0.912274,0.910291,0.908252,0.90614,0.903936,0.901621,0.899174,0.896573,0.893796,0.890818,0.887613,0.884155,0.880413,0.876357,0.871954,0.867169,0.861966,0.856305,0.850145,0.843444,0.836156,0.828236,0.819635,0.810304,0.800195,0.789257,0.777443,0.764704,0.750997,0.736282,0.720523,0.703693,0.685774,0.666755,0.646643,0.625458,0.603238,0.580038,0.555938,0.531037,0.505461,0.479358,0.452897,0.426269,0.399679,0.37334,0.347473,0.322288,0.297981},
{1.0158,1.01667,1.01758,1.01853,1.01952,1.02057,1.02166,1.0228,1.024,1.02526,1.02657,1.02794,1.02937,1.03087,1.03243,1.03405,1.03575,1.03752,1.03936,1.04128,1.04327,1.04534,1.04749,1.04972,1.05204,1.05444,1.05692,1.05949,1.06214,1.06488,1.0677,1.07062,1.07361,1.0767,1.07987,1.08312,1.08645,1.08986,1.09335,1.09691,1.10055,1.10425,1.10802,1.11185,1.11574,1.11968,1.12366,1.12769,1.13174,1.13583,1.13994,1.14406,1.14818,1.1523,1.15641,1.1605,1.16456,1.16858,1.17256,1.17647,1.18031,1.18407,1.18774,1.19131,1.19477,1.19809,1.20129,1.20433,1.20721,1.20993,1.21245,1.21479,1.21692,1.21883,1.22052,1.22197,1.22317,1.22412,1.22481,1.22522,1.22534,1.22518,1.22473,1.22398,1.22292,1.22155,1.21987,1.21788,1.21557,1.21295,1.21002,1.20678,1.20323,1.19938,1.19523,1.1908,1.1861,1.18112,1.17589,1.17041,1.16471,1.1588,1.15269,1.1464,1.13995,1.13337,1.12666,1.11986,1.11297,1.10604,1.09907,1.09209,1.08512,1.07819,1.0713,1.06449,1.05777,1.05116,1.04468,1.03834,1.03216,1.02614,1.0203,1.01465,1.0092,1.00395,0.998901,0.994062,0.989432,0.98501,0.980794,0.976781,0.972966,0.969343,0.965905,0.962644,0.959551,0.956617,0.953831,0.951183,0.94866,0.946252,0.943946,0.941728,0.939586,0.937506,0.935474,0.933475,0.931496,0.929521,0.927534,0.925518,0.923458,0.921335,0.919131,0.916827,0.914403,0.911837,0.909107,0.90619,0.903059,0.899688,0.896049,0.892112,0.887845,0.883213,0.878181,0.872711,0.866762,0.860294,0.853261,0.845619,0.837319,0.828315,0.818555,0.807992,0.796574,0.784255,0.770987,0.756729,0.74144,0.72509,0.707653,0.689114,0.66947,0.64873,0.626921,0.604087,0.580293,0.555624,0.530189,0.504123,0.47758,0.450737,0.423791,0.396953,0.370438,0.344465,0.319243,0.294962},
{1.01582,1.01669,1.0176,1.01855,1.01955,1.0206,1.0217,1.02286,1.02406,1.02532,1.02664,1.02803,1.02947,1.03098,1.03255,1.0342,1.03591,1.0377,1.03956,1.0415,1.04351,1.04561,1.04779,1.05005,1.0524,1.05484,1.05736,1.05997,1.06267,1.06545,1.06833,1.0713,1.07436,1.07751,1.08074,1.08407,1.08748,1.09097,1.09455,1.09821,1.10195,1.10575,1.10964,1.11358,1.11759,1.12166,1.12578,1.12994,1.13415,1.13839,1.14265,1.14694,1.15124,1.15554,1.15983,1.16412,1.16837,1.1726,1.17678,1.18091,1.18497,1.18895,1.19285,1.19665,1.20034,1.20391,1.20735,1.21064,1.21377,1.21673,1.21952,1.22211,1.22449,1.22666,1.2286,1.2303,1.23176,1.23295,1.23388,1.23454,1.23491,1.23499,1.23476,1.23424,1.2334,1.23225,1.23079,1.229,1.22689,1.22447,1.22172,1.21866,1.21528,1.2116,1.20761,1.20333,1.19876,1.19392,1.18882,1.18347,1.17788,1.17208,1.16607,1.15987,1.15351,1.147,1.14037,1.13364,1.12682,1.11994,1.11303,1.1061,1.09917,1.09227,1.08543,1.07865,1.07195,1.06537,1.05891,1.05258,1.04641,1.04041,1.03458,1.02894,1.02349,1.01824,1.0132,1.00836,1.00373,0.999304,0.995083,0.991064,0.98724,0.983608,0.980158,0.976884,0.973777,0.970827,0.968023,0.965354,0.96281,0.960377,0.958044,0.955797,0.953623,0.951508,0.949438,0.947398,0.945373,0.943348,0.941306,0.939232,0.937107,0.934914,0.932634,0.930246,0.927732,0.925067,0.922231,0.919197,0.91594,0.912433,0.908646,0.904549,0.900109,0.89529,0.890057,0.884371,0.87819,0.871472,0.864173,0.856245,0.847642,0.838315,0.828213,0.817287,0.805488,0.792768,0.779081,0.764385,0.748644,0.731826,0.713909,0.69488,0.674739,0.653499,0.631192,0.607865,0.583588,0.558453,0.532573,0.506088,0.479157,0.451964,0.424708,0.397601,0.370863,0.344711,0.319352,0.294973},
{1.01583,1.0167,1.01761,1.01857,1.01958,1.02064,1.02174,1.0229,1.02411,1.02538,1.02671,1.0281,1.02956,1.03108,1.03267,1.03433,1.03606,1.03786,1.03974,1.0417,1.04374,1.04586,1.04807,1.05036,1.05274,1.05521,1.05777,1.06042,1.06316,1.066,1.06893,1.07195,1.07507,1.07828,1.08158,1.08498,1.08847,1.09205,1.09571,1.09946,1.10329,1.10721,1.1112,1.11526,1.11939,1.12359,1.12784,1.13214,1.1365,1.14089,1.14532,1.14977,1.15424,1.15872,1.1632,1.16767,1.17213,1.17656,1.18095,1.18529,1.18958,1.19379,1.19792,1.20196,1.20589,1.2097,1.21339,1.21693,1.22031,1.22353,1.22657,1.22942,1.23207,1.2345,1.2367,1.23866,1.24038,1.24183,1.24302,1.24392,1.24454,1.24487,1.24489,1.2446,1.244,1.24307,1.24183,1.24026,1.23836,1.23613,1.23358,1.23071,1.22751,1.224,1.22018,1.21606,1.21164,1.20695,1.20198,1.19676,1.19129,1.1856,1.17969,1.1736,1.16733,1.16091,1.15436,1.1477,1.14095,1.13413,1.12727,1.12039,1.11351,1.10666,1.09984,1.0931,1.08643,1.07987,1.07343,1.06713,1.06098,1.05498,1.04917,1.04353,1.03809,1.03284,1.0278,1.02296,1.01832,1.01389,1.00967,1.00564,1.0018,0.998156,0.994692,0.991401,0.988275,0.985303,0.982475,0.979781,0.977208,0.974743,0.972375,0.97009,0.967874,0.965713,0.963593,0.961498,0.959414,0.957323,0.95521,0.953058,0.950848,0.948563,0.946182,0.943685,0.941051,0.938257,0.935279,0.932092,0.928668,0.924981,0.920999,0.91669,0.912021,0.906956,0.901456,0.895483,0.888995,0.881947,0.874294,0.86599,0.856985,0.84723,0.836675,0.825271,0.812969,0.799721,0.785483,0.770214,0.75388,0.736452,0.717912,0.698251,0.677473,0.655598,0.632663,0.608723,0.583856,0.558159,0.531757,0.504797,0.477444,0.44989,0.42234,0.395008,0.368116,0.341879,0.3165,0.29216},
{1.01583,1.01671,1.01763,1.01859,1.0196,1.02066,1.02177,1.02294,1.02416,1.02544,1.02677,1.02817,1.02964,1.03117,1.03277,1.03444,1.03619,1.03801,1.03991,1.04189,1.04395,1.0461,1.04833,1.05065,1.05306,1.05557,1.05816,1.06085,1.06364,1.06652,1.0695,1.07257,1.07575,1.07902,1.08239,1.08586,1.08942,1.09308,1.09683,1.10067,1.1046,1.10861,1.11271,1.11689,1.12114,1.12546,1.12985,1.13429,1.13879,1.14334,1.14792,1.15254,1.15718,1.16184,1.16651,1.17118,1.17583,1.18047,1.18507,1.18963,1.19414,1.19858,1.20295,1.20722,1.2114,1.21546,1.2194,1.2232,1.22684,1.23032,1.23363,1.23674,1.23965,1.24235,1.24482,1.24705,1.24904,1.25076,1.25221,1.25337,1.25425,1.25483,1.2551,1.25506,1.2547,1.25401,1.253,1.25165,1.24997,1.24796,1.24561,1.24294,1.23993,1.2366,1.23296,1.229,1.22475,1.2202,1.21538,1.21029,1.20495,1.19938,1.19359,1.1876,1.18143,1.17511,1.16864,1.16206,1.15538,1.14863,1.14183,1.13501,1.12818,1.12137,1.11459,1.10788,1.10125,1.09472,1.08831,1.08202,1.07589,1.06991,1.06411,1.05848,1.05305,1.04781,1.04276,1.03792,1.03329,1.02885,1.02462,1.02059,1.01674,1.01309,1.00961,1.00631,1.00316,1.00017,0.997327,0.99461,0.992013,0.989522,0.987124,0.984806,0.982555,0.980355,0.978192,0.976051,0.973916,0.97177,0.969598,0.96738,0.965099,0.962736,0.96027,0.957682,0.954948,0.952046,0.94895,0.945636,0.942075,0.938238,0.934095,0.929612,0.924755,0.919488,0.913771,0.907565,0.900826,0.893511,0.885572,0.876963,0.867634,0.857536,0.846618,0.834831,0.822126,0.808457,0.793779,0.778054,0.761249,0.743336,0.724299,0.704134,0.682847,0.660462,0.637021,0.612582,0.587229,0.561066,0.534221,0.506845,0.479112,0.451215,0.423362,0.395771,0.368665,0.342257,0.316747,0.292313},
{1.01583,1.01671,1.01763,1.0186,1.01962,1.02068,1.0218,1.02297,1.02419,1.02548,1.02683,1.02824,1.02971,1.03125,1.03287,1.03455,1.03631,1.03815,1.04007,1.04206,1.04415,1.04632,1.04857,1.05092,1.05336,1.0559,1.05853,1.06126,1.06408,1.06701,1.07004,1.07316,1.07639,1.07973,1.08316,1.0867,1.09033,1.09407,1.0979,1.10183,1.10586,1.10997,1.11418,1.11847,1.12284,1.12728,1.1318,1.13638,1.14103,1.14573,1.15047,1.15526,1.16007,1.16491,1.16977,1.17463,1.17948,1.18432,1.18914,1.19392,1.19865,1.20333,1.20793,1.21245,1.21687,1.22119,1.22538,1.22944,1.23335,1.2371,1.24067,1.24406,1.24725,1.25022,1.25296,1.25547,1.25773,1.25972,1.26145,1.26288,1.26403,1.26487,1.2654,1.26562,1.26551,1.26507,1.2643,1.26318,1.26173,1.25994,1.25781,1.25534,1.25253,1.2494,1.24594,1.24216,1.23807,1.23369,1.22901,1.22407,1.21887,1.21342,1.20775,1.20188,1.19581,1.18958,1.18321,1.17671,1.17011,1.16343,1.1567,1.14993,1.14316,1.1364,1.12967,1.123,1.1164,1.1099,1.10351,1.09725,1.09114,1.08518,1.07939,1.07377,1.06835,1.06311,1.05807,1.05324,1.0486,1.04416,1.03993,1.03589,1.03203,1.02837,1.02488,1.02156,1.0184,1.0154,1.01253,1.00979,1.00717,1.00465,1.00222,0.99987,0.997582,0.995343,0.993137,0.990949,0.988762,0.986561,0.984327,0.982042,0.979689,0.977247,0.974696,0.972015,0.96918,0.966168,0.962954,0.959511,0.955811,0.951824,0.947518,0.942861,0.937815,0.932345,0.926411,0.91997,0.912981,0.905398,0.897175,0.888262,0.87861,0.868171,0.856893,0.844726,0.831623,0.817537,0.802426,0.78625,0.76898,0.750589,0.731065,0.710404,0.688618,0.665733,0.641794,0.616866,0.591037,0.564415,0.537134,0.509349,0.481239,0.453,0.424844,0.39699,0.369661,0.343071,0.317417,0.292871},
{1.01583,1.01671,1.01763,1.01861,1.01962,1.02069,1.02182,1.02299,1.02422,1.02552,1.02687,1.02829,1.02977,1.03132,1.03295,1.03465,1.03642,1.03827,1.04021,1.04222,1.04433,1.04652,1.0488,1.05117,1.05364,1.05621,1.05887,1.06164,1.0645,1.06747,1.07055,1.07372,1.07701,1.0804,1.0839,1.0875,1.09121,1.09502,1.09894,1.10295,1.10707,1.11129,1.11559,1.11999,1.12448,1.12905,1.1337,1.13842,1.14321,1.14806,1.15296,1.15791,1.1629,1.16792,1.17296,1.17801,1.18307,1.18812,1.19315,1.19815,1.20311,1.20802,1.21286,1.21763,1.2223,1.22688,1.23133,1.23565,1.23983,1.24386,1.24771,1.25137,1.25484,1.25809,1.26112,1.26391,1.26645,1.26873,1.27073,1.27245,1.27387,1.27498,1.27579,1.27627,1.27642,1.27623,1.27571,1.27484,1.27363,1.27207,1.27016,1.26791,1.26532,1.26238,1.25911,1.25552,1.25161,1.24739,1.24288,1.23809,1.23303,1.22772,1.22218,1.21642,1.21047,1.20435,1.19807,1.19166,1.18514,1.17854,1.17188,1.16518,1.15846,1.15175,1.14507,1.13844,1.13188,1.12542,1.11906,1.11283,1.10673,1.10079,1.09502,1.08942,1.084,1.07877,1.07374,1.0689,1.06427,1.05983,1.05559,1.05154,1.04768,1.04401,1.04051,1.03718,1.034,1.03098,1.02809,1.02533,1.02268,1.02013,1.01768,1.01529,1.01297,1.01069,1.00844,1.0062,1.00396,1.0017,0.999409,0.997058,0.994631,0.99211,0.989473,0.986697,0.983761,0.980639,0.977306,0.973734,0.969895,0.965757,0.961289,0.956456,0.951223,0.94555,0.939399,0.932726,0.925488,0.91764,0.909133,0.89992,0.88995,0.879173,0.867539,0.854999,0.841504,0.827008,0.811471,0.794854,0.777128,0.75827,0.738268,0.717123,0.694848,0.671474,0.64705,0.621644,0.595349,0.568276,0.540566,0.512377,0.483892,0.45531,0.426848,0.398724,0.371162,0.344375,0.318558,0.29388},
{1.01582,1.01671,1.01763,1.01861,1.01963,1.0207,1.02183,1.02301,1.02425,1.02555,1.02691,1.02833,1.02982,1.03139,1.03302,1.03473,1.03652,1.03838,1.04033,1.04237,1.04449,1.0467,1.049,1.0514,1.0539,1.0565,1.05919,1.06199,1.0649,1.06791,1.07103,1.07425,1.07759,1.08104,1.08459,1.08826,1.09204,1.09593,1.09993,1.10403,1.10824,1.11255,1.11696,1.12147,1.12607,1.13077,1.13554,1.1404,1.14533,1.15033,1.15539,1.16051,1.16567,1.17087,1.17609,1.18134,1.1866,1.19186,1.1971,1.20233,1.20752,1.21266,1.21775,1.22276,1.22769,1.23252,1.23724,1.24183,1.24629,1.25059,1.25472,1.25867,1.26242,1.26596,1.26928,1.27236,1.27519,1.27776,1.28005,1.28205,1.28376,1.28516,1.28624,1.287,1.28742,1.2875,1.28724,1.28663,1.28566,1.28434,1.28267,1.28064,1.27826,1.27554,1.27248,1.26908,1.26535,1.26132,1.25697,1.25234,1.24743,1.24227,1.23686,1.23123,1.2254,1.21938,1.21321,1.20689,1.20046,1.19394,1.18735,1.18072,1.17407,1.16741,1.16078,1.1542,1.14768,1.14125,1.13493,1.12872,1.12265,1.11673,1.11097,1.10538,1.09997,1.09475,1.08973,1.08489,1.08026,1.07581,1.07157,1.06751,1.06364,1.05995,1.05644,1.05309,1.04989,1.04685,1.04393,1.04114,1.03846,1.03588,1.03338,1.03096,1.02859,1.02626,1.02395,1.02165,1.01935,1.01702,1.01464,1.0122,1.00968,1.00706,1.00431,1.00141,0.998346,0.995083,0.991595,0.987857,0.983837,0.979505,0.974827,0.969768,0.964291,0.958356,0.951923,0.944949,0.937389,0.929197,0.920324,0.910721,0.900338,0.889125,0.877031,0.864007,0.850006,0.834983,0.818898,0.801715,0.783406,0.763953,0.743347,0.721592,0.698706,0.674727,0.649708,0.623724,0.596875,0.56928,0.541085,0.512455,0.48358,0.454663,0.425923,0.397582,0.369864,0.342977,0.317113,0.292433},
{1.01581,1.0167,1.01763,1.0186,1.01963,1.02071,1.02184,1.02302,1.02426,1.02557,1.02694,1.02837,1.02987,1.03144,1.03308,1.0348,1.0366,1.03848,1.04045,1.0425,1.04464,1.04687,1.04919,1.05162,1.05414,1.05676,1.05949,1.06232,1.06527,1.06832,1.07148,1.07475,1.07814,1.08164,1.08526,1.08899,1.09284,1.0968,1.10087,1.10506,1.10936,1.11377,1.11828,1.1229,1.12761,1.13243,1.13733,1.14232,1.1474,1.15255,1.15776,1.16304,1.16837,1.17375,1.17916,1.18461,1.19007,1.19553,1.201,1.20644,1.21187,1.21725,1.22258,1.22784,1.23303,1.23812,1.24311,1.24798,1.25271,1.25729,1.26171,1.26595,1.26999,1.27383,1.27745,1.28082,1.28395,1.28682,1.28941,1.29171,1.29371,1.2954,1.29677,1.29781,1.29851,1.29887,1.29888,1.29853,1.29783,1.29676,1.29533,1.29354,1.2914,1.28889,1.28604,1.28285,1.27932,1.27547,1.2713,1.26684,1.2621,1.25708,1.25182,1.24632,1.24061,1.23472,1.22865,1.22244,1.2161,1.20967,1.20316,1.1966,1.19002,1.18342,1.17685,1.17032,1.16384,1.15745,1.15116,1.14498,1.13894,1.13304,1.1273,1.12173,1.11634,1.11113,1.10611,1.10128,1.09664,1.0922,1.08795,1.08389,1.08001,1.07631,1.07279,1.06942,1.06621,1.06314,1.06021,1.05739,1.05469,1.05208,1.04954,1.04708,1.04467,1.0423,1.03994,1.03759,1.03523,1.03284,1.03039,1.02788,1.02528,1.02257,1.01973,1.01673,1.01355,1.01017,1.00655,1.00267,0.998505,0.99401,0.989157,0.983909,0.97823,0.972079,0.965414,0.958192,0.950367,0.941893,0.93272,0.922799,0.91208,0.900512,0.888045,0.87463,0.860219,0.84477,0.828242,0.810602,0.791824,0.771889,0.750793,0.728542,0.705158,0.680681,0.655169,0.628703,0.601383,0.573336,0.54471,0.515676,0.486426,0.457168,0.428122,0.399512,0.37156,0.344474,0.318444,0.293626},
{1.0158,1.01668,1.01762,1.0186,1.01962,1.0207,1.02184,1.02303,1.02427,1.02558,1.02696,1.0284,1.0299,1.03148,1.03314,1.03487,1.03668,1.03857,1.04055,1.04261,1.04477,1.04702,1.04937,1.05181,1.05436,1.05701,1.05977,1.06263,1.06561,1.0687,1.0719,1.07522,1.07866,1.08221,1.08589,1.08968,1.09359,1.09763,1.10178,1.10605,1.11043,1.11493,1.11955,1.12427,1.1291,1.13403,1.13906,1.14419,1.1494,1.1547,1.16007,1.16551,1.17101,1.17657,1.18217,1.18781,1.19347,1.19915,1.20483,1.2105,1.21615,1.22177,1.22735,1.23287,1.23831,1.24367,1.24893,1.25408,1.25909,1.26396,1.26867,1.27321,1.27755,1.28169,1.28561,1.28929,1.29272,1.29589,1.29879,1.30139,1.3037,1.30569,1.30736,1.30869,1.30969,1.31033,1.31062,1.31055,1.31011,1.30931,1.30813,1.30659,1.30468,1.30241,1.29978,1.2968,1.29348,1.28982,1.28585,1.28156,1.27698,1.27213,1.26702,1.26166,1.25609,1.25031,1.24436,1.23826,1.23202,1.22568,1.21926,1.21278,1.20626,1.19973,1.19322,1.18674,1.18031,1.17396,1.1677,1.16156,1.15554,1.14967,1.14395,1.13839,1.13301,1.1278,1.12279,1.11796,1.11332,1.10888,1.10462,1.10055,1.09666,1.09294,1.0894,1.08601,1.08277,1.07967,1.07671,1.07386,1.07111,1.06845,1.06587,1.06336,1.06089,1.05845,1.05602,1.0536,1.05115,1.04866,1.04612,1.0435,1.04078,1.03794,1.03496,1.03181,1.02847,1.02491,1.0211,1.01701,1.01261,1.00788,1.00276,0.99723,0.991247,0.98477,0.977755,0.970159,0.961935,0.953035,0.94341,0.93301,0.921783,0.90968,0.89665,0.882645,0.86762,0.851531,0.834341,0.81602,0.796544,0.775901,0.754089,0.731121,0.707025,0.681847,0.655656,0.628537,0.600603,0.571986,0.542845,0.513359,0.483726,0.454158,0.424881,0.396118,0.368089,0.340999,0.315026,0.29032},
{1.01578,1.01667,1.0176,1.01858,1.01961,1.0207,1.02183,1.02303,1.02428,1.02559,1.02697,1.02841,1.02993,1.03152,1.03318,1.03492,1.03674,1.03864,1.04063,1.04271,1.04489,1.04715,1.04952,1.05199,1.05456,1.05724,1.06002,1.06292,1.06593,1.06906,1.0723,1.07566,1.07915,1.08275,1.08648,1.09034,1.09431,1.09842,1.10264,1.10699,1.11146,1.11606,1.12077,1.12559,1.13053,1.13558,1.14074,1.146,1.15135,1.15679,1.16232,1.16792,1.17359,1.17933,1.18511,1.19094,1.19681,1.20269,1.20859,1.21449,1.22038,1.22624,1.23207,1.23784,1.24355,1.24918,1.25471,1.26014,1.26544,1.2706,1.27561,1.28044,1.28509,1.28954,1.29377,1.29776,1.30151,1.30499,1.3082,1.31112,1.31374,1.31604,1.31802,1.31966,1.32095,1.32189,1.32247,1.32268,1.32253,1.32199,1.32109,1.3198,1.31815,1.31612,1.31372,1.31097,1.30786,1.30441,1.30063,1.29653,1.29214,1.28745,1.2825,1.27729,1.27186,1.26622,1.26039,1.2544,1.24828,1.24203,1.2357,1.2293,1.22286,1.2164,1.20995,1.20353,1.19715,1.19085,1.18464,1.17853,1.17254,1.16669,1.161,1.15546,1.15009,1.1449,1.13989,1.13507,1.13044,1.12599,1.12173,1.11765,1.11375,1.11002,1.10646,1.10306,1.0998,1.09668,1.09369,1.09081,1.08803,1.08534,1.08272,1.08016,1.07764,1.07515,1.07267,1.07018,1.06766,1.0651,1.06248,1.05977,1.05695,1.05401,1.05091,1.04764,1.04417,1.04046,1.0365,1.03225,1.02767,1.02274,1.01742,1.01167,1.00544,0.998712,0.991424,0.983536,0.975002,0.965772,0.955797,0.945026,0.933408,0.920893,0.907432,0.892975,0.877479,0.860901,0.843206,0.824365,0.804356,0.78317,0.760809,0.737288,0.71264,0.686916,0.660188,0.632548,0.604112,0.57502,0.545434,0.515537,0.485533,0.455636,0.426075,0.397071,0.368846,0.3416,0.315509,0.290715},
{1.01575,1.01665,1.01758,1.01856,1.0196,1.02068,1.02182,1.02302,1.02428,1.02559,1.02698,1.02843,1.02995,1.03154,1.03321,1.03496,1.03679,1.0387,1.04071,1.0428,1.04499,1.04727,1.04966,1.05215,1.05474,1.05744,1.06025,1.06318,1.06622,1.06939,1.07267,1.07607,1.0796,1.08326,1.08704,1.09096,1.095,1.09917,1.10346,1.10789,1.11245,1.11713,1.12194,1.12687,1.13191,1.13708,1.14236,1.14774,1.15323,1.15882,1.1645,1.17026,1.17611,1.18202,1.18799,1.19401,1.20008,1.20617,1.21229,1.21842,1.22454,1.23064,1.23672,1.24275,1.24872,1.25462,1.26044,1.26615,1.27174,1.2772,1.2825,1.28765,1.2926,1.29736,1.30191,1.30622,1.31029,1.3141,1.31763,1.32087,1.32381,1.32643,1.32872,1.33068,1.33228,1.33353,1.33441,1.33492,1.33505,1.3348,1.33417,1.33316,1.33176,1.32999,1.32783,1.32531,1.32243,1.3192,1.31563,1.31173,1.30752,1.30301,1.29822,1.29318,1.28789,1.28239,1.2767,1.27083,1.26481,1.25868,1.25244,1.24613,1.23977,1.23339,1.227,1.22064,1.21432,1.20806,1.20189,1.19582,1.18987,1.18405,1.17837,1.17285,1.1675,1.16232,1.15732,1.1525,1.14786,1.14341,1.13915,1.13506,1.13115,1.1274,1.12382,1.12039,1.11711,1.11396,1.11093,1.10801,1.10519,1.10244,1.09977,1.09715,1.09457,1.09201,1.08945,1.08687,1.08427,1.08161,1.07887,1.07605,1.0731,1.07002,1.06678,1.06334,1.05969,1.05579,1.05162,1.04714,1.04233,1.03714,1.03153,1.02548,1.01894,1.01186,1.0042,0.995921,0.986967,0.977291,0.966843,0.955572,0.943427,0.930357,0.916314,0.90125,0.885122,0.86789,0.849521,0.829988,0.809275,0.787375,0.764296,0.740059,0.714704,0.688288,0.660891,0.632614,0.603581,0.573941,0.543863,0.513537,0.483174,0.452993,0.42322,0.394082,0.365794,0.338551,0.312521,0.287833},
{1.01573,1.01662,1.01756,1.01854,1.01958,1.02066,1.02181,1.02301,1.02427,1.02559,1.02697,1.02843,1.02996,1.03156,1.03323,1.03499,1.03683,1.03875,1.04077,1.04287,1.04508,1.04738,1.04978,1.05229,1.0549,1.05763,1.06046,1.06342,1.06649,1.06969,1.07301,1.07646,1.08003,1.08373,1.08757,1.09154,1.09564,1.09987,1.10424,1.10875,1.11339,1.11816,1.12306,1.12809,1.13324,1.13852,1.14392,1.14943,1.15506,1.16079,1.16662,1.17254,1.17855,1.18464,1.1908,1.19701,1.20328,1.20959,1.21592,1.22227,1.22863,1.23498,1.24131,1.2476,1.25384,1.26001,1.26611,1.27211,1.278,1.28375,1.28937,1.29482,1.3001,1.30518,1.31004,1.31468,1.31908,1.32322,1.32708,1.33065,1.33392,1.33687,1.33949,1.34177,1.3437,1.34526,1.34645,1.34727,1.3477,1.34775,1.34741,1.34667,1.34555,1.34404,1.34214,1.33987,1.33722,1.33422,1.33086,1.32717,1.32316,1.31884,1.31423,1.30935,1.30423,1.29887,1.29332,1.28758,1.28169,1.27566,1.26953,1.26331,1.25704,1.25074,1.24443,1.23813,1.23187,1.22567,1.21954,1.21352,1.2076,1.20181,1.19616,1.19067,1.18533,1.18017,1.17518,1.17037,1.16574,1.16129,1.15702,1.15292,1.149,1.14525,1.14165,1.1382,1.1349,1.13172,1.12866,1.12571,1.12285,1.12007,1.11735,1.11469,1.11205,1.10943,1.10681,1.10416,1.10148,1.09873,1.09591,1.09299,1.08994,1.08674,1.08337,1.0798,1.076,1.07194,1.0676,1.06294,1.05793,1.05253,1.0467,1.0404,1.0336,1.02624,1.01829,1.00969,1.0004,0.99037,0.979545,0.967877,0.955314,0.941806,0.927304,0.911761,0.895136,0.877389,0.858489,0.838412,0.817144,0.79468,0.771033,0.746227,0.720306,0.693332,0.66539,0.636587,0.60705,0.576934,0.546414,0.515685,0.484958,0.454458,0.424411,0.395043,0.36657,0.339181,0.313039,0.288269},
{1.0157,1.01659,1.01753,1.01852,1.01955,1.02064,1.02179,1.02299,1.02425,1.02558,1.02697,1.02843,1.02996,1.03156,1.03325,1.03501,1.03686,1.03879,1.04082,1.04294,1.04515,1.04747,1.04988,1.05241,1.05504,1.05779,1.06065,1.06364,1.06674,1.06997,1.07332,1.07681,1.08043,1.08418,1.08806,1.09208,1.09624,1.10054,1.10498,1.10956,1.11428,1.11913,1.12413,1.12925,1.13451,1.13991,1.14542,1.15106,1.15682,1.1627,1.16868,1.17476,1.18093,1.1872,1.19354,1.19994,1.20641,1.21293,1.21948,1.22606,1.23265,1.23925,1.24583,1.25238,1.25889,1.26534,1.27172,1.27801,1.2842,1.29026,1.29619,1.30196,1.30755,1.31296,1.31816,1.32313,1.32786,1.33234,1.33654,1.34045,1.34405,1.34734,1.3503,1.35291,1.35517,1.35706,1.35858,1.35971,1.36046,1.36081,1.36077,1.36033,1.35949,1.35825,1.35662,1.3546,1.35221,1.34944,1.34631,1.34284,1.33903,1.33491,1.33049,1.32579,1.32083,1.31564,1.31023,1.30463,1.29886,1.29295,1.28693,1.28082,1.27464,1.26842,1.26219,1.25596,1.24977,1.24362,1.23755,1.23156,1.22569,1.21993,1.21431,1.20884,1.20353,1.19838,1.1934,1.18859,1.18397,1.17952,1.17524,1.17114,1.16721,1.16344,1.15982,1.15635,1.15302,1.14981,1.14672,1.14373,1.14083,1.138,1.13523,1.1325,1.1298,1.12711,1.12441,1.12168,1.11891,1.11607,1.11314,1.11009,1.10692,1.10358,1.10006,1.09633,1.09236,1.08812,1.08357,1.0787,1.07345,1.06779,1.06169,1.05511,1.04799,1.04031,1.032,1.02303,1.01334,1.00289,0.991615,0.979476,0.966418,0.95239,0.937346,0.921239,0.904027,0.885676,0.866154,0.845442,0.823526,0.800409,0.776106,0.750647,0.724081,0.696477,0.667926,0.638541,0.608457,0.577835,0.546857,0.515721,0.484645,0.453856,0.423581,0.394046,0.365459,0.338009,0.311851,0.287098},
{1.01567,1.01656,1.0175,1.01849,1.01952,1.02061,1.02176,1.02296,1.02423,1.02556,1.02695,1.02841,1.02995,1.03156,1.03325,1.03502,1.03687,1.03882,1.04085,1.04298,1.04521,1.04754,1.04997,1.05251,1.05517,1.05794,1.06082,1.06383,1.06696,1.07022,1.07361,1.07713,1.08079,1.08459,1.08852,1.0926,1.09681,1.10117,1.10568,1.11033,1.11512,1.12006,1.12515,1.13037,1.13573,1.14123,1.14687,1.15263,1.15853,1.16454,1.17067,1.1769,1.18325,1.18968,1.1962,1.2028,1.20947,1.2162,1.22297,1.22977,1.2366,1.24344,1.25028,1.25709,1.26387,1.2706,1.27727,1.28386,1.29035,1.29672,1.30296,1.30905,1.31497,1.32071,1.32624,1.33156,1.33663,1.34145,1.346,1.35026,1.35421,1.35785,1.36115,1.36411,1.36671,1.36894,1.37079,1.37226,1.37333,1.374,1.37426,1.37412,1.37358,1.37263,1.37128,1.36953,1.36739,1.36488,1.36199,1.35874,1.35516,1.35124,1.34702,1.34251,1.33772,1.33269,1.32744,1.32199,1.31636,1.31058,1.30467,1.29867,1.29259,1.28646,1.28031,1.27416,1.26803,1.26195,1.25593,1.25,1.24416,1.23845,1.23286,1.22742,1.22213,1.21699,1.21203,1.20723,1.20261,1.19816,1.19389,1.18978,1.18584,1.18205,1.17842,1.17493,1.17157,1.16834,1.16521,1.16218,1.15924,1.15636,1.15354,1.15076,1.14799,1.14524,1.14246,1.13965,1.13679,1.13385,1.13081,1.12766,1.12436,1.12089,1.11722,1.11333,1.10919,1.10477,1.10003,1.09494,1.08947,1.08357,1.07721,1.07035,1.06294,1.05494,1.04629,1.03696,1.02689,1.01604,1.00434,0.991757,0.97823,0.963713,0.948156,0.931517,0.913754,0.894834,0.874729,0.853419,0.830898,0.807168,0.782251,0.756179,0.729008,0.700811,0.671686,0.64175,0.611145,0.580038,0.548615,0.51708,0.485653,0.454563,0.424039,0.394305,0.365567,0.338008,0.311777,0.286982},
{1.01563,1.01652,1.01746,1.01845,1.01949,1.02058,1.02173,1.02293,1.0242,1.02553,1.02693,1.02839,1.02993,1.03155,1.03324,1.03502,1.03688,1.03883,1.04088,1.04302,1.04525,1.0476,1.05004,1.0526,1.05527,1.05806,1.06097,1.064,1.06716,1.07045,1.07387,1.07743,1.08113,1.08496,1.08894,1.09307,1.09734,1.10176,1.10633,1.11105,1.11592,1.12094,1.12611,1.13143,1.1369,1.1425,1.14825,1.15414,1.16016,1.16631,1.17259,1.17898,1.18549,1.19209,1.1988,1.20559,1.21246,1.21939,1.22638,1.23341,1.24048,1.24756,1.25465,1.26173,1.26879,1.2758,1.28276,1.28964,1.29644,1.30312,1.30968,1.3161,1.32235,1.32843,1.3343,1.33996,1.34539,1.35056,1.35546,1.36008,1.36439,1.36838,1.37204,1.37536,1.37831,1.38089,1.38308,1.38489,1.38629,1.38729,1.38788,1.38806,1.38782,1.38717,1.38611,1.38464,1.38278,1.38052,1.37788,1.37488,1.37152,1.36783,1.36381,1.35949,1.3549,1.35004,1.34496,1.33966,1.33417,1.32852,1.32274,1.31686,1.31088,1.30486,1.29879,1.29273,1.28667,1.28066,1.2747,1.26882,1.26303,1.25735,1.2518,1.24639,1.24112,1.23601,1.23106,1.22628,1.22166,1.21721,1.21294,1.20882,1.20487,1.20107,1.19742,1.19391,1.19053,1.18726,1.1841,1.18103,1.17805,1.17512,1.17225,1.16941,1.16658,1.16375,1.16089,1.158,1.15504,1.152,1.14886,1.14558,1.14215,1.13855,1.13473,1.13068,1.12637,1.12175,1.11681,1.11151,1.1058,1.09965,1.09302,1.08587,1.07816,1.06983,1.06084,1.05114,1.04068,1.02942,1.01729,1.00425,0.990243,0.975226,0.959149,0.94197,0.923648,0.904152,0.883457,0.861545,0.838412,0.814066,0.788531,0.761844,0.734067,0.705278,0.675578,0.645093,0.61397,0.58238,0.550515,0.518583,0.486808,0.455419,0.424647,0.394714,0.365824,0.338153,0.311846,0.287002},
{1.01559,1.01648,1.01742,1.01841,1.01945,1.02054,1.02169,1.0229,1.02417,1.0255,1.0269,1.02837,1.02991,1.03153,1.03323,1.03501,1.03688,1.03884,1.04089,1.04304,1.04529,1.04764,1.0501,1.05267,1.05536,1.05817,1.0611,1.06415,1.06734,1.07065,1.07411,1.0777,1.08143,1.08531,1.08933,1.09351,1.09784,1.10231,1.10695,1.11173,1.11668,1.12178,1.12703,1.13244,1.138,1.14372,1.14958,1.15559,1.16174,1.16803,1.17444,1.18099,1.18766,1.19444,1.20132,1.2083,1.21536,1.22251,1.22971,1.23698,1.24428,1.25161,1.25895,1.2663,1.27363,1.28092,1.28817,1.29536,1.30246,1.30946,1.31635,1.32309,1.32969,1.3361,1.34233,1.34834,1.35412,1.35966,1.36492,1.3699,1.37458,1.37894,1.38297,1.38664,1.38996,1.3929,1.39545,1.39761,1.39936,1.4007,1.40162,1.40213,1.40221,1.40187,1.40111,1.39994,1.39835,1.39637,1.394,1.39124,1.38813,1.38466,1.38086,1.37676,1.37236,1.36769,1.36277,1.35764,1.35231,1.3468,1.34116,1.33539,1.32953,1.32361,1.31764,1.31166,1.30569,1.29974,1.29385,1.28802,1.28229,1.27666,1.27115,1.26577,1.26053,1.25544,1.25051,1.24574,1.24113,1.23669,1.23241,1.22829,1.22433,1.22052,1.21685,1.21332,1.20991,1.20662,1.20342,1.20032,1.19729,1.19431,1.19139,1.18848,1.18559,1.18269,1.17976,1.17678,1.17373,1.17059,1.16733,1.16394,1.16038,1.15663,1.15267,1.14845,1.14396,1.13916,1.13402,1.1285,1.12256,1.11616,1.10927,1.10184,1.09382,1.08517,1.07584,1.06578,1.05494,1.04326,1.03071,1.01722,1.00275,0.987246,0.970662,0.952955,0.93409,0.914034,0.892764,0.870268,0.846542,0.821599,0.795464,0.768182,0.739816,0.710451,0.680194,0.649174,0.617543,0.585479,0.553176,0.520847,0.488718,0.457022,0.425987,0.395835,0.366768,0.338957,0.312541,0.287612},
{1.01555,1.01644,1.01738,1.01837,1.01941,1.0205,1.02165,1.02285,1.02412,1.02546,1.02686,1.02833,1.02988,1.0315,1.0332,1.03499,1.03686,1.03883,1.04089,1.04304,1.0453,1.04767,1.05014,1.05273,1.05543,1.05825,1.0612,1.06428,1.06749,1.07083,1.07431,1.07794,1.08171,1.08562,1.08969,1.09391,1.09829,1.10282,1.10752,1.11237,1.11739,1.12256,1.1279,1.1334,1.13906,1.14487,1.15085,1.15697,1.16325,1.16967,1.17623,1.18293,1.18975,1.1967,1.20376,1.21093,1.21819,1.22554,1.23297,1.24046,1.248,1.25557,1.26317,1.27078,1.27839,1.28597,1.29351,1.301,1.30842,1.31574,1.32295,1.33003,1.33697,1.34373,1.35031,1.35668,1.36283,1.36873,1.37436,1.37972,1.38477,1.3895,1.39391,1.39796,1.40164,1.40495,1.40787,1.41039,1.4125,1.4142,1.41547,1.41631,1.41672,1.41671,1.41626,1.41539,1.41411,1.41241,1.41031,1.40782,1.40495,1.40173,1.39816,1.39427,1.39008,1.3856,1.38087,1.37591,1.37074,1.36539,1.35988,1.35424,1.34851,1.34269,1.33683,1.33094,1.32505,1.31918,1.31335,1.30759,1.30191,1.29632,1.29085,1.28551,1.2803,1.27523,1.27032,1.26556,1.26096,1.25652,1.25224,1.24811,1.24414,1.24031,1.23662,1.23306,1.22962,1.22629,1.22306,1.2199,1.21682,1.21379,1.21079,1.20782,1.20484,1.20185,1.19883,1.19574,1.19258,1.18931,1.18593,1.18239,1.17867,1.17476,1.17061,1.1662,1.1615,1.15647,1.15108,1.14529,1.13907,1.13237,1.12516,1.11738,1.10899,1.09995,1.09021,1.07971,1.0684,1.05624,1.04317,1.02914,1.01411,0.998013,0.980815,0.962475,0.942955,0.922229,0.900274,0.877081,0.852653,0.827005,0.800169,0.772195,0.743152,0.713132,0.682249,0.650639,0.618462,0.5859,0.553155,0.520444,0.487996,0.456045,0.424819,0.394538,0.365396,0.33756,0.311157,0.286272},
{1.0155,1.01639,1.01733,1.01832,1.01936,1.02045,1.0216,1.02281,1.02408,1.02541,1.02682,1.02829,1.02984,1.03146,1.03317,1.03496,1.03684,1.03881,1.04087,1.04304,1.04531,1.04768,1.05016,1.05276,1.05548,1.05832,1.06129,1.06438,1.06761,1.07098,1.07449,1.07815,1.08195,1.0859,1.09001,1.09428,1.09871,1.10329,1.10805,1.11296,1.11805,1.1233,1.12872,1.1343,1.14005,1.14597,1.15205,1.15829,1.16469,1.17125,1.17795,1.18479,1.19178,1.19889,1.20613,1.21348,1.22094,1.2285,1.23614,1.24385,1.25163,1.25945,1.26731,1.27519,1.28307,1.29094,1.29878,1.30657,1.3143,1.32195,1.32949,1.33691,1.34419,1.35131,1.35825,1.36499,1.3715,1.37778,1.38379,1.38953,1.39496,1.40008,1.40487,1.4093,1.41338,1.41707,1.42037,1.42326,1.42574,1.4278,1.42943,1.43062,1.43138,1.4317,1.43158,1.43103,1.43005,1.42865,1.42684,1.42462,1.42202,1.41905,1.41573,1.41206,1.40809,1.40382,1.39928,1.3945,1.38951,1.38431,1.37896,1.37346,1.36785,1.36215,1.3564,1.35061,1.34481,1.33902,1.33327,1.32758,1.32195,1.31642,1.311,1.30569,1.30051,1.29547,1.29058,1.28584,1.28125,1.27682,1.27254,1.26841,1.26443,1.26058,1.25688,1.2533,1.24983,1.24646,1.24319,1.23999,1.23686,1.23378,1.23072,1.22768,1.22463,1.22156,1.21845,1.21527,1.212,1.20862,1.20511,1.20144,1.19758,1.19351,1.18919,1.1846,1.17971,1.17447,1.16886,1.16283,1.15635,1.14938,1.14187,1.13378,1.12506,1.11567,1.10555,1.09466,1.08294,1.07035,1.05682,1.04231,1.02677,1.01015,0.992413,0.973511,0.953414,0.932095,0.909535,0.885728,0.860678,0.834406,0.806947,0.778357,0.748708,0.718098,0.686646,0.654494,0.621805,0.588769,0.55559,0.522489,0.489698,0.457451,0.425976,0.395491,0.366187,0.338224,0.311725,0.286768},
{1.01545,1.01634,1.01728,1.01827,1.0193,1.0204,1.02155,1.02275,1.02402,1.02536,1.02676,1.02824,1.02979,1.03142,1.03313,1.03492,1.0368,1.03878,1.04085,1.04302,1.04529,1.04768,1.05017,1.05278,1.05551,1.05837,1.06135,1.06447,1.06772,1.07111,1.07465,1.07833,1.08216,1.08615,1.0903,1.09461,1.09908,1.10372,1.10853,1.11351,1.11866,1.12398,1.12948,1.13515,1.14099,1.14701,1.1532,1.15955,1.16607,1.17275,1.17959,1.18659,1.19372,1.201,1.20842,1.21596,1.22361,1.23137,1.23923,1.24717,1.25518,1.26325,1.27136,1.27951,1.28767,1.29582,1.30396,1.31206,1.32011,1.32808,1.33595,1.34372,1.35135,1.35883,1.36613,1.37324,1.38013,1.38679,1.39319,1.39932,1.40514,1.41066,1.41584,1.42067,1.42513,1.42922,1.43291,1.43619,1.43905,1.44148,1.44348,1.44504,1.44616,1.44683,1.44705,1.44683,1.44617,1.44508,1.44356,1.44164,1.43931,1.43661,1.43353,1.43011,1.42637,1.42231,1.41798,1.41339,1.40857,1.40355,1.39835,1.393,1.38753,1.38196,1.37632,1.37064,1.36493,1.35923,1.35356,1.34793,1.34237,1.3369,1.33152,1.32625,1.32111,1.3161,1.31123,1.3065,1.30193,1.2975,1.29322,1.28908,1.28509,1.28123,1.2775,1.27389,1.27039,1.26699,1.26367,1.26043,1.25724,1.25409,1.25096,1.24784,1.24471,1.24155,1.23833,1.23504,1.23165,1.22815,1.22449,1.22067,1.21664,1.21239,1.20788,1.20309,1.19797,1.19249,1.18662,1.18032,1.17355,1.16626,1.15842,1.14997,1.14088,1.13108,1.12054,1.1092,1.097,1.08391,1.06986,1.0548,1.03869,1.02148,1.00312,0.983587,0.962837,0.940849,0.917609,0.893112,0.867368,0.840403,0.812255,0.782986,0.752676,0.721427,0.689365,0.65664,0.62342,0.5899,0.55629,0.522816,0.48971,0.457208,0.425536,0.39491,0.365513,0.337501,0.310987,0.286039},
{1.01539,1.01628,1.01722,1.01821,1.01925,1.02034,1.02149,1.02269,1.02397,1.0253,1.02671,1.02818,1.02973,1.03136,1.03307,1.03487,1.03676,1.03873,1.04081,1.04299,1.04527,1.04766,1.05016,1.05278,1.05553,1.0584,1.06139,1.06453,1.0678,1.07121,1.07477,1.07848,1.08235,1.08637,1.09056,1.09491,1.09942,1.10411,1.10898,1.11401,1.11923,1.12462,1.13019,1.13595,1.14188,1.14799,1.15428,1.16074,1.16738,1.17419,1.18117,1.1883,1.1956,1.20304,1.21063,1.21835,1.22619,1.23416,1.24223,1.25039,1.25864,1.26695,1.27533,1.28374,1.29217,1.30062,1.30906,1.31747,1.32583,1.33413,1.34235,1.35046,1.35845,1.36629,1.37396,1.38145,1.38872,1.39577,1.40256,1.40908,1.41531,1.42123,1.42682,1.43205,1.43692,1.44141,1.4455,1.44918,1.45243,1.45526,1.45764,1.45958,1.46106,1.46209,1.46267,1.46279,1.46246,1.4617,1.4605,1.45887,1.45684,1.45441,1.4516,1.44843,1.44492,1.4411,1.43698,1.4326,1.42797,1.42313,1.41809,1.4129,1.40757,1.40213,1.39662,1.39105,1.38545,1.37984,1.37425,1.3687,1.36321,1.3578,1.35247,1.34725,1.34215,1.33717,1.33232,1.32762,1.32305,1.31863,1.31435,1.31022,1.30621,1.30234,1.29859,1.29496,1.29143,1.28799,1.28463,1.28133,1.27809,1.27488,1.27168,1.26849,1.26527,1.26202,1.2587,1.2553,1.25179,1.24816,1.24436,1.24039,1.2362,1.23177,1.22708,1.22208,1.21674,1.21103,1.20491,1.19834,1.19128,1.18369,1.17552,1.16673,1.15726,1.14708,1.13613,1.12435,1.1117,1.09812,1.08357,1.06799,1.05133,1.03355,1.01461,0.99447,0.973098,0.950474,0.926587,0.901435,0.875033,0.847408,0.818605,0.788691,0.75775,0.725891,0.693245,0.659966,0.626231,0.592238,0.5582,0.524347,0.490913,0.458135,0.426238,0.395432,0.3659,0.337789,0.311204,0.286209},
{1.01533,1.01622,1.01716,1.01815,1.01918,1.02027,1.02142,1.02263,1.0239,1.02524,1.02664,1.02812,1.02967,1.0313,1.03301,1.03481,1.0367,1.03868,1.04076,1.04294,1.04523,1.04763,1.05014,1.05277,1.05552,1.0584,1.06142,1.06456,1.06785,1.07129,1.07487,1.07861,1.0825,1.08656,1.09078,1.09517,1.09973,1.10446,1.10938,1.11447,1.11975,1.12521,1.13085,1.13668,1.1427,1.14891,1.1553,1.16187,1.16862,1.17556,1.18267,1.18994,1.19739,1.20499,1.21275,1.22065,1.22869,1.23686,1.24514,1.25353,1.26201,1.27057,1.2792,1.28788,1.29659,1.30533,1.31406,1.32278,1.33147,1.3401,1.34866,1.35712,1.36547,1.37368,1.38173,1.38959,1.39726,1.4047,1.4119,1.41882,1.42546,1.43179,1.43779,1.44344,1.44872,1.45362,1.45813,1.46221,1.46588,1.4691,1.47188,1.47421,1.47608,1.47748,1.47842,1.4789,1.47893,1.47849,1.47762,1.47631,1.47458,1.47244,1.46991,1.467,1.46375,1.46016,1.45627,1.4521,1.44768,1.44302,1.43816,1.43313,1.42796,1.42266,1.41728,1.41183,1.40634,1.40083,1.39534,1.38987,1.38445,1.3791,1.37383,1.36866,1.36359,1.35865,1.35383,1.34915,1.3446,1.34019,1.33591,1.33177,1.32776,1.32387,1.3201,1.31644,1.31287,1.30939,1.30599,1.30264,1.29933,1.29606,1.29279,1.28951,1.28621,1.28285,1.27943,1.27591,1.27228,1.2685,1.26456,1.26042,1.25606,1.25144,1.24654,1.24133,1.23576,1.2298,1.22341,1.21655,1.20919,1.20127,1.19276,1.1836,1.17374,1.16315,1.15176,1.13952,1.12639,1.11231,1.09723,1.08109,1.06386,1.04549,1.02593,1.00515,0.983128,0.959841,0.935279,0.909447,0.88236,0.854053,0.824574,0.793995,0.762408,0.729925,0.696685,0.662847,0.628593,0.594127,0.559666,0.525442,0.491693,0.458653,0.426548,0.395584,0.365936,0.337747,0.311115,0.286092},
{1.01527,1.01616,1.0171,1.01808,1.01912,1.02021,1.02135,1.02256,1.02383,1.02516,1.02657,1.02804,1.0296,1.03123,1.03294,1.03474,1.03663,1.03862,1.0407,1.04288,1.04518,1.04758,1.0501,1.05274,1.0555,1.05839,1.06142,1.06458,1.06789,1.07134,1.07494,1.0787,1.08262,1.08671,1.09096,1.09539,1.09999,1.10477,1.10973,1.11488,1.12022,1.12574,1.13146,1.13737,1.14347,1.14976,1.15625,1.16293,1.1698,1.17685,1.18409,1.19151,1.1991,1.20686,1.21479,1.22287,1.2311,1.23946,1.24796,1.25657,1.26528,1.27409,1.28297,1.29192,1.30091,1.30994,1.31897,1.32801,1.33702,1.34598,1.35488,1.3637,1.37241,1.38099,1.38942,1.39768,1.40574,1.41358,1.42119,1.42853,1.43558,1.44233,1.44875,1.45483,1.46054,1.46586,1.47079,1.4753,1.47938,1.48302,1.48621,1.48894,1.4912,1.493,1.49432,1.49517,1.49555,1.49547,1.49494,1.49395,1.49254,1.4907,1.48846,1.48583,1.48284,1.47951,1.47586,1.47191,1.4677,1.46324,1.45858,1.45372,1.44871,1.44356,1.43832,1.43299,1.42762,1.42222,1.41682,1.41144,1.4061,1.40082,1.39561,1.39049,1.38548,1.38057,1.37578,1.37112,1.36659,1.36219,1.35792,1.35377,1.34975,1.34585,1.34206,1.33837,1.33477,1.33125,1.3278,1.3244,1.32104,1.31769,1.31435,1.31099,1.30759,1.30414,1.3006,1.29697,1.2932,1.28929,1.28519,1.28089,1.27635,1.27155,1.26644,1.261,1.2552,1.24899,1.24233,1.23518,1.22751,1.21927,1.21041,1.20088,1.19064,1.17963,1.16781,1.15511,1.1415,1.12691,1.11131,1.09462,1.07682,1.05786,1.03769,1.01629,0.993626,0.969686,0.944462,0.91796,0.890202,0.861225,0.831084,0.799854,0.767632,0.734537,0.700713,0.666324,0.631558,0.596622,0.561739,0.527142,0.493071,0.45976,0.427432,0.39629,0.366505,0.338213,0.311505,0.286426},
{1.01521,1.01609,1.01703,1.01801,1.01904,1.02013,1.02128,1.02248,1.02375,1.02509,1.02649,1.02796,1.02952,1.03115,1.03286,1.03466,1.03655,1.03854,1.04062,1.04281,1.04511,1.04752,1.05004,1.05269,1.05546,1.05836,1.0614,1.06457,1.0679,1.07137,1.07499,1.07877,1.08272,1.08683,1.09111,1.09558,1.10021,1.10504,1.11005,1.11525,1.12064,1.12623,1.13201,1.138,1.14418,1.15056,1.15714,1.16392,1.1709,1.17807,1.18544,1.19299,1.20073,1.20865,1.21674,1.225,1.23341,1.24198,1.25068,1.25951,1.26845,1.2775,1.28664,1.29586,1.30513,1.31444,1.32378,1.33313,1.34246,1.35176,1.36101,1.37019,1.37926,1.38822,1.39704,1.40569,1.41415,1.4224,1.43042,1.43818,1.44566,1.45284,1.45969,1.4662,1.47235,1.47811,1.48347,1.48841,1.49292,1.49699,1.5006,1.50375,1.50642,1.50862,1.51033,1.51157,1.51232,1.51261,1.51242,1.51178,1.51069,1.50917,1.50724,1.5049,1.50219,1.49912,1.49572,1.49201,1.48802,1.48377,1.4793,1.47463,1.46978,1.4648,1.4597,1.45451,1.44926,1.44398,1.43868,1.43339,1.42813,1.42292,1.41778,1.41272,1.40775,1.40288,1.39813,1.39349,1.38897,1.38458,1.38031,1.37616,1.37213,1.36821,1.3644,1.36067,1.35704,1.35347,1.34996,1.3465,1.34307,1.33964,1.33621,1.33276,1.32926,1.32569,1.32203,1.31826,1.31434,1.31027,1.306,1.30151,1.29677,1.29174,1.28641,1.28072,1.27464,1.26814,1.26118,1.25371,1.24569,1.23707,1.22781,1.21787,1.20718,1.19571,1.18339,1.17018,1.15602,1.14087,1.12467,1.10737,1.08892,1.0693,1.04844,1.02634,1.00296,0.978293,0.952331,0.925088,0.896589,0.866877,0.836011,0.804075,0.77117,0.737424,0.702985,0.668025,0.632738,0.597336,0.562045,0.527103,0.49275,0.459219,0.42673,0.395481,0.365636,0.337322,0.310621,0.285568},
{1.01514,1.01602,1.01695,1.01794,1.01897,1.02005,1.0212,1.0224,1.02367,1.025,1.0264,1.02788,1.02943,1.03106,1.03277,1.03457,1.03646,1.03845,1.04054,1.04273,1.04503,1.04744,1.04997,1.05262,1.0554,1.05831,1.06136,1.06455,1.06788,1.07137,1.07501,1.07881,1.08278,1.08692,1.09123,1.09573,1.1004,1.10526,1.11032,1.11557,1.12102,1.12666,1.13251,1.13857,1.14483,1.15129,1.15797,1.16485,1.17193,1.17922,1.18671,1.1944,1.20228,1.21035,1.21861,1.22704,1.23564,1.2444,1.2533,1.26235,1.27153,1.28082,1.29021,1.29969,1.30924,1.31885,1.32849,1.33815,1.34781,1.35745,1.36705,1.37658,1.38603,1.39537,1.40457,1.41362,1.42249,1.43116,1.4396,1.44779,1.4557,1.46332,1.47062,1.47757,1.48416,1.49037,1.49618,1.50156,1.50652,1.51102,1.51507,1.51864,1.52174,1.52435,1.52648,1.52811,1.52926,1.52992,1.5301,1.52982,1.52907,1.52788,1.52627,1.52424,1.52181,1.51902,1.51588,1.51242,1.50867,1.50464,1.50038,1.4959,1.49124,1.48642,1.48148,1.47644,1.47132,1.46616,1.46097,1.45578,1.45061,1.44549,1.44041,1.43541,1.4305,1.42567,1.42096,1.41635,1.41185,1.40748,1.40321,1.39907,1.39503,1.39109,1.38726,1.38351,1.37983,1.37623,1.37267,1.36915,1.36565,1.36216,1.35865,1.3551,1.3515,1.34783,1.34405,1.34015,1.3361,1.33187,1.32744,1.32277,1.31784,1.31261,1.30706,1.30113,1.29481,1.28804,1.28079,1.27302,1.26467,1.25571,1.24609,1.23576,1.22467,1.21277,1.2,1.18632,1.17166,1.15599,1.13925,1.12139,1.10236,1.08213,1.06067,1.03793,1.0139,0.988574,0.961946,0.934032,0.904861,0.874481,0.842955,0.810372,0.776838,0.742485,0.707469,0.671965,0.636172,0.600305,0.564596,0.529283,0.494606,0.460799,0.42808,0.396642,0.366645,0.338209,0.31141,0.286278},
{1.01506,1.01595,1.01688,1.01786,1.01889,1.01997,1.02111,1.02231,1.02358,1.02491,1.02631,1.02778,1.02933,1.03096,1.03267,1.03447,1.03636,1.03835,1.04044,1.04263,1.04493,1.04735,1.04988,1.05254,1.05532,1.05824,1.0613,1.0645,1.06784,1.07134,1.075,1.07882,1.08281,1.08697,1.09131,1.09584,1.10055,1.10545,1.11055,1.11584,1.12134,1.12705,1.13296,1.13908,1.14541,1.15196,1.15873,1.1657,1.17289,1.18029,1.18791,1.19572,1.20375,1.21197,1.22038,1.22898,1.23776,1.24672,1.25583,1.26509,1.2745,1.28403,1.29368,1.30342,1.31325,1.32315,1.33309,1.34307,1.35305,1.36303,1.37298,1.38287,1.3927,1.40242,1.41202,1.42147,1.43076,1.43984,1.44871,1.45734,1.46569,1.47375,1.4815,1.48891,1.49596,1.50262,1.50889,1.51473,1.52014,1.5251,1.52959,1.53361,1.53714,1.54018,1.54273,1.54478,1.54633,1.54738,1.54795,1.54803,1.54765,1.5468,1.54551,1.5438,1.54168,1.53918,1.53632,1.53312,1.52961,1.52582,1.52177,1.5175,1.51303,1.50839,1.50362,1.49873,1.49375,1.48871,1.48364,1.47856,1.47349,1.46845,1.46345,1.45851,1.45365,1.44888,1.4442,1.43962,1.43515,1.43079,1.42653,1.42238,1.41834,1.41439,1.41053,1.40674,1.40303,1.39938,1.39577,1.39219,1.38862,1.38504,1.38144,1.3778,1.37409,1.3703,1.36639,1.36235,1.35814,1.35375,1.34914,1.34428,1.33915,1.3337,1.3279,1.32172,1.31512,1.30806,1.3005,1.2924,1.2837,1.27437,1.26436,1.25361,1.24207,1.22971,1.21645,1.20225,1.18707,1.17083,1.15351,1.13504,1.11539,1.09452,1.07239,1.04897,1.02425,0.998224,0.970887,0.94226,0.912379,0.881293,0.849074,0.815814,0.781625,0.746647,0.711038,0.67498,0.638679,0.602353,0.566235,0.530568,0.495592,0.461538,0.428623,0.397034,0.366926,0.338411,0.311557,0.286387},
{1.01499,1.01587,1.0168,1.01777,1.0188,1.01988,1.02102,1.02222,1.02348,1.02481,1.02621,1.02768,1.02922,1.03085,1.03256,1.03436,1.03625,1.03824,1.04033,1.04252,1.04483,1.04724,1.04978,1.05244,1.05523,1.05815,1.06122,1.06442,1.06778,1.07129,1.07497,1.0788,1.08281,1.087,1.09136,1.09591,1.10066,1.10559,1.11073,1.11607,1.12162,1.12738,1.13335,1.13954,1.14594,1.15257,1.15942,1.16649,1.17378,1.18129,1.18902,1.19697,1.20513,1.21349,1.22206,1.23083,1.23979,1.24894,1.25825,1.26773,1.27736,1.28713,1.29703,1.30704,1.31714,1.32733,1.33758,1.34787,1.35818,1.3685,1.3788,1.38906,1.39926,1.40937,1.41937,1.42923,1.43893,1.44845,1.45775,1.46682,1.47562,1.48414,1.49235,1.50022,1.50773,1.51486,1.5216,1.52791,1.53379,1.53921,1.54417,1.54864,1.55262,1.55611,1.55909,1.56157,1.56354,1.565,1.56596,1.56643,1.56642,1.56593,1.56499,1.56361,1.56181,1.55961,1.55704,1.55412,1.55087,1.54732,1.54351,1.53945,1.53519,1.53074,1.52613,1.52141,1.51658,1.51168,1.50674,1.50177,1.4968,1.49185,1.48693,1.48207,1.47727,1.47255,1.46791,1.46337,1.45892,1.45458,1.45033,1.44619,1.44213,1.43817,1.43429,1.43048,1.42673,1.42303,1.41937,1.41572,1.41208,1.40843,1.40474,1.401,1.39719,1.39327,1.38924,1.38506,1.3807,1.37614,1.37136,1.36631,1.36097,1.3553,1.34927,1.34284,1.33597,1.32862,1.32076,1.31233,1.30329,1.29359,1.28319,1.27203,1.26007,1.24725,1.23352,1.21883,1.20312,1.18635,1.16846,1.14941,1.12916,1.10766,1.08489,1.06082,1.03544,1.00873,0.980717,0.951407,0.920843,0.88908,0.856193,0.82228,0.787458,0.751872,0.715685,0.679084,0.642277,0.60549,0.568956,0.53292,0.497623,0.463294,0.430148,0.398368,0.368104,0.339462,0.312502,0.287242},
{1.01491,1.01579,1.01671,1.01768,1.01871,1.01979,1.02092,1.02212,1.02338,1.0247,1.0261,1.02757,1.02911,1.03074,1.03245,1.03424,1.03613,1.03812,1.04021,1.0424,1.0447,1.04712,1.04966,1.05232,1.05512,1.05804,1.06111,1.06433,1.06769,1.07122,1.0749,1.07876,1.08278,1.08699,1.09138,1.09595,1.10072,1.10569,1.11087,1.11625,1.12184,1.12765,1.13368,1.13993,1.14641,1.15311,1.16004,1.1672,1.17459,1.18221,1.19005,1.19812,1.20641,1.21493,1.22365,1.23259,1.24172,1.25105,1.26057,1.27026,1.28011,1.29012,1.30027,1.31054,1.32092,1.33139,1.34194,1.35255,1.36319,1.37385,1.38451,1.39513,1.40571,1.41621,1.42661,1.43688,1.44701,1.45696,1.4667,1.47622,1.48548,1.49446,1.50313,1.51148,1.51947,1.52708,1.53429,1.54108,1.54744,1.55334,1.55877,1.56371,1.56816,1.5721,1.57554,1.57846,1.58086,1.58274,1.58412,1.58499,1.58536,1.58525,1.58467,1.58363,1.58217,1.58028,1.57801,1.57538,1.5724,1.56911,1.56554,1.56171,1.55766,1.55341,1.54899,1.54443,1.53976,1.53501,1.53019,1.52534,1.52048,1.51563,1.51079,1.50601,1.50127,1.4966,1.49201,1.4875,1.48308,1.47876,1.47452,1.47037,1.46631,1.46233,1.45842,1.45457,1.45078,1.44703,1.4433,1.43959,1.43587,1.43212,1.42833,1.42448,1.42054,1.41649,1.41231,1.40797,1.40344,1.3987,1.39371,1.38844,1.38287,1.37695,1.37065,1.36393,1.35676,1.34909,1.34087,1.33207,1.32264,1.31253,1.30169,1.29007,1.27762,1.26429,1.25002,1.23477,1.21847,1.20109,1.18257,1.16286,1.14193,1.11974,1.09626,1.07146,1.04533,1.01788,0.989103,0.959037,0.927723,0.895219,0.861607,0.826991,0.791493,0.755265,0.718476,0.68132,0.644009,0.606771,0.569846,0.533478,0.497909,0.463365,0.430058,0.398164,0.367825,0.339141,0.312162,0.286897},
{1.01482,1.0157,1.01662,1.01759,1.01861,1.01969,1.02082,1.02202,1.02327,1.02459,1.02598,1.02745,1.02899,1.03061,1.03232,1.03411,1.036,1.03798,1.04007,1.04226,1.04457,1.04698,1.04952,1.05219,1.05498,1.05792,1.06099,1.06421,1.06758,1.07112,1.07481,1.07868,1.08272,1.08694,1.09135,1.09595,1.10075,1.10575,1.11096,1.11638,1.12202,1.12788,1.13396,1.14027,1.14681,1.15358,1.16059,1.16784,1.17532,1.18304,1.191,1.19919,1.20761,1.21627,1.22514,1.23424,1.24355,1.25306,1.26277,1.27267,1.28275,1.29299,1.30338,1.31391,1.32457,1.33533,1.34618,1.3571,1.36808,1.37908,1.39009,1.40108,1.41204,1.42293,1.43374,1.44443,1.45498,1.46536,1.47556,1.48553,1.49525,1.5047,1.51385,1.52268,1.53116,1.53926,1.54696,1.55425,1.56109,1.56748,1.5734,1.57882,1.58375,1.58817,1.59207,1.59544,1.59829,1.60061,1.60241,1.6037,1.60447,1.60475,1.60455,1.60387,1.60275,1.6012,1.59925,1.59691,1.59422,1.5912,1.58788,1.58429,1.58046,1.57642,1.5722,1.56782,1.56332,1.55872,1.55404,1.54932,1.54457,1.53982,1.53508,1.53036,1.5257,1.52109,1.51654,1.51207,1.50768,1.50337,1.49914,1.49499,1.49092,1.48692,1.48299,1.4791,1.47526,1.47146,1.46766,1.46387,1.46007,1.45623,1.45233,1.44836,1.44429,1.4401,1.43576,1.43125,1.42654,1.4216,1.4164,1.41091,1.40509,1.3989,1.39232,1.38531,1.37781,1.3698,1.36122,1.35204,1.3422,1.33166,1.32036,1.30826,1.29531,1.28144,1.26662,1.25079,1.23389,1.21587,1.1967,1.17632,1.15469,1.13178,1.10756,1.08202,1.05514,1.02692,0.997375,0.966543,0.934467,0.901214,0.866871,0.831545,0.79537,0.758499,0.72111,0.683401,0.645591,0.607911,0.570603,0.533913,0.498082,0.463334,0.429875,0.397877,0.367473,0.338753,0.31176,0.286495},
{1.01474,1.01561,1.01653,1.0175,1.01851,1.01959,1.02072,1.0219,1.02316,1.02447,1.02586,1.02732,1.02886,1.03048,1.03218,1.03397,1.03586,1.03784,1.03992,1.04211,1.04441,1.04683,1.04937,1.05203,1.05483,1.05777,1.06084,1.06407,1.06745,1.07099,1.0747,1.07857,1.08263,1.08687,1.09129,1.09592,1.10074,1.10577,1.11101,1.11647,1.12214,1.12805,1.13418,1.14055,1.14715,1.15399,1.16108,1.16841,1.17598,1.1838,1.19186,1.20017,1.20872,1.21751,1.22653,1.23579,1.24526,1.25496,1.26486,1.27497,1.28526,1.29574,1.30638,1.31717,1.3281,1.33914,1.35029,1.36153,1.37283,1.38417,1.39554,1.4069,1.41824,1.42953,1.44075,1.45186,1.46284,1.47367,1.48431,1.49475,1.50494,1.51487,1.52451,1.53382,1.5428,1.5514,1.5596,1.56739,1.57474,1.58163,1.58805,1.59397,1.59939,1.6043,1.60868,1.61252,1.61583,1.61861,1.62085,1.62257,1.62376,1.62445,1.62463,1.62434,1.62358,1.62237,1.62075,1.61873,1.61634,1.6136,1.61055,1.60721,1.60362,1.5998,1.59578,1.5916,1.58727,1.58283,1.5783,1.57372,1.56909,1.56445,1.5598,1.55518,1.55059,1.54604,1.54155,1.53712,1.53276,1.52847,1.52425,1.52011,1.51603,1.51201,1.50805,1.50413,1.50025,1.49639,1.49253,1.48867,1.48478,1.48084,1.47684,1.47275,1.46855,1.46422,1.45973,1.45505,1.45016,1.44502,1.43961,1.43389,1.42782,1.42138,1.41452,1.4072,1.39939,1.39104,1.38211,1.37255,1.36231,1.35134,1.3396,1.32703,1.31358,1.2992,1.28384,1.26744,1.24995,1.23132,1.21152,1.19048,1.16818,1.14458,1.11966,1.09339,1.06578,1.03682,1.00654,0.974972,0.942164,0.908189,0.873139,0.837129,0.800296,0.7628,0.724824,0.686571,0.648264,0.610138,0.572438,0.535409,0.499293,0.46431,0.430664,0.39852,0.368004,0.339199,0.312142,0.286825},
{1.01465,1.01552,1.01643,1.01739,1.01841,1.01948,1.0206,1.02179,1.02303,1.02435,1.02573,1.02719,1.02872,1.03034,1.03204,1.03382,1.0357,1.03768,1.03976,1.04195,1.04425,1.04666,1.0492,1.05187,1.05466,1.0576,1.06068,1.06391,1.06729,1.07084,1.07455,1.07844,1.0825,1.08676,1.0912,1.09584,1.10069,1.10574,1.11101,1.1165,1.12222,1.12816,1.13434,1.14076,1.14743,1.15433,1.16149,1.1689,1.17656,1.18448,1.19264,1.20106,1.20974,1.21866,1.22782,1.23723,1.24687,1.25675,1.26684,1.27715,1.28766,1.29836,1.30924,1.32029,1.33149,1.34282,1.35427,1.36582,1.37745,1.38914,1.40086,1.41259,1.42432,1.436,1.44763,1.45916,1.47058,1.48186,1.49296,1.50386,1.51454,1.52495,1.53508,1.5449,1.55438,1.56349,1.57221,1.58051,1.58838,1.59578,1.60272,1.60915,1.61508,1.62048,1.62536,1.62969,1.63348,1.63673,1.63943,1.64159,1.64322,1.64433,1.64492,1.64502,1.64464,1.6438,1.64252,1.64083,1.63875,1.63631,1.63354,1.63047,1.62713,1.62354,1.61974,1.61576,1.61162,1.60735,1.60298,1.59854,1.59404,1.58952,1.58498,1.58045,1.57594,1.57146,1.56703,1.56265,1.55832,1.55406,1.54986,1.54572,1.54164,1.53761,1.53362,1.52967,1.52575,1.52183,1.51791,1.51398,1.51,1.50597,1.50187,1.49766,1.49333,1.48886,1.48422,1.47937,1.4743,1.46897,1.46335,1.4574,1.4511,1.4444,1.43727,1.42966,1.42154,1.41286,1.40357,1.39364,1.38301,1.37163,1.35945,1.34643,1.3325,1.31762,1.30173,1.28478,1.26672,1.24751,1.22709,1.20542,1.18247,1.15821,1.13261,1.10565,1.07734,1.04768,1.01669,0.984405,0.950893,0.916223,0.880492,0.843819,0.806348,0.768242,0.729688,0.690896,0.652091,0.613512,0.575404,0.538015,0.501584,0.466332,0.432457,0.40012,0.369442,0.3405,0.313325,0.287903},
{1.01455,1.01542,1.01633,1.01729,1.0183,1.01936,1.02048,1.02166,1.02291,1.02422,1.0256,1.02705,1.02858,1.03019,1.03188,1.03366,1.03554,1.03751,1.03959,1.04177,1.04407,1.04648,1.04901,1.05168,1.05447,1.05741,1.06049,1.06372,1.06711,1.07066,1.07438,1.07827,1.08235,1.08661,1.09107,1.09573,1.10059,1.10567,1.11097,1.11649,1.12224,1.12822,1.13445,1.14092,1.14764,1.15461,1.16183,1.16932,1.17706,1.18507,1.19333,1.20186,1.21066,1.21971,1.22901,1.23857,1.24837,1.25842,1.2687,1.27921,1.28993,1.30086,1.31198,1.32328,1.33475,1.34636,1.35811,1.36997,1.38193,1.39396,1.40604,1.41814,1.43025,1.44234,1.45438,1.46634,1.4782,1.48993,1.5015,1.51287,1.52403,1.53494,1.54557,1.5559,1.56589,1.57552,1.58477,1.5936,1.60199,1.60993,1.61739,1.62435,1.6308,1.63672,1.64211,1.64695,1.65123,1.65497,1.65814,1.66077,1.66285,1.66439,1.66541,1.66592,1.66593,1.66547,1.66456,1.66321,1.66146,1.65934,1.65687,1.65408,1.651,1.64766,1.64409,1.64032,1.63638,1.63229,1.6281,1.62381,1.61945,1.61506,1.61063,1.6062,1.60178,1.59738,1.59301,1.58869,1.58441,1.58018,1.576,1.57188,1.5678,1.56376,1.55976,1.55578,1.55182,1.54785,1.54388,1.53987,1.53582,1.5317,1.5275,1.52319,1.51874,1.51413,1.50935,1.50434,1.4991,1.49359,1.48777,1.48161,1.47508,1.46814,1.46075,1.45287,1.44445,1.43546,1.42585,1.41557,1.40457,1.39281,1.38023,1.36678,1.3524,1.33706,1.32068,1.30323,1.28465,1.26489,1.24391,1.22167,1.19812,1.17325,1.14702,1.11943,1.09048,1.06016,1.02852,0.995585,0.961419,0.926101,0.889732,0.852433,0.814353,0.775658,0.73654,0.697211,0.657899,0.618845,0.580298,0.542504,0.505704,0.470116,0.435937,0.403325,0.372399,0.34323,0.315845,0.290228},
{1.01445,1.01531,1.01622,1.01718,1.01818,1.01924,1.02036,1.02153,1.02277,1.02408,1.02545,1.0269,1.02842,1.03003,1.03171,1.03349,1.03536,1.03733,1.0394,1.04158,1.04387,1.04628,1.04881,1.05147,1.05427,1.0572,1.06028,1.06351,1.0669,1.07045,1.07417,1.07807,1.08216,1.08643,1.0909,1.09557,1.10046,1.10556,1.11088,1.11642,1.12221,1.12823,1.13449,1.14101,1.14778,1.15481,1.1621,1.16965,1.17748,1.18557,1.19394,1.20257,1.21148,1.22065,1.23009,1.2398,1.24976,1.25998,1.27044,1.28114,1.29207,1.30322,1.31458,1.32613,1.33786,1.34976,1.3618,1.37398,1.38626,1.39863,1.41106,1.42354,1.43604,1.44853,1.46098,1.47337,1.48568,1.49786,1.50989,1.52175,1.5334,1.54481,1.55595,1.5668,1.57731,1.58747,1.59725,1.60662,1.61556,1.62404,1.63203,1.63954,1.64652,1.65298,1.65889,1.66424,1.66904,1.67328,1.67695,1.68005,1.6826,1.6846,1.68606,1.68699,1.68742,1.68735,1.68681,1.68583,1.68443,1.68263,1.68047,1.67797,1.67516,1.67208,1.66876,1.66521,1.66148,1.65759,1.65357,1.64945,1.64524,1.64098,1.63667,1.63235,1.62802,1.62371,1.61941,1.61514,1.6109,1.60671,1.60255,1.59844,1.59436,1.59031,1.58629,1.58228,1.57827,1.57426,1.57022,1.56614,1.562,1.55779,1.55348,1.54904,1.54446,1.53971,1.53476,1.52959,1.52416,1.51845,1.51241,1.50602,1.49925,1.49204,1.48437,1.47618,1.46745,1.45812,1.44815,1.43749,1.4261,1.41392,1.40089,1.38698,1.37213,1.35627,1.33937,1.32137,1.30222,1.28188,1.26029,1.23742,1.21323,1.1877,1.16081,1.13254,1.10289,1.07188,1.03954,1.0059,0.971046,0.935044,0.898004,0.860051,0.821338,0.782038,0.742344,0.702473,0.662657,0.623139,0.584169,0.545995,0.508854,0.472967,0.438525,0.405683,0.374554,0.345205,0.317659,0.291894},
{1.01435,1.01521,1.01611,1.01706,1.01806,1.01912,1.02023,1.0214,1.02263,1.02393,1.0253,1.02674,1.02826,1.02986,1.03154,1.03331,1.03518,1.03714,1.03921,1.04138,1.04366,1.04607,1.04859,1.05125,1.05404,1.05697,1.06005,1.06328,1.06666,1.07022,1.07394,1.07785,1.08194,1.08622,1.0907,1.09538,1.10028,1.1054,1.11074,1.11631,1.12212,1.12817,1.13448,1.14104,1.14785,1.15494,1.16229,1.16991,1.17781,1.18599,1.19444,1.20318,1.21219,1.22149,1.23106,1.2409,1.25102,1.2614,1.27204,1.28293,1.29407,1.30543,1.31702,1.32882,1.34081,1.35299,1.36532,1.3778,1.39041,1.40311,1.4159,1.42875,1.44163,1.45452,1.46739,1.48021,1.49296,1.5056,1.5181,1.53044,1.54259,1.5545,1.56616,1.57752,1.58857,1.59927,1.60958,1.6195,1.62898,1.63801,1.64656,1.65461,1.66214,1.66913,1.67558,1.68147,1.68679,1.69154,1.69571,1.69931,1.70233,1.7048,1.70671,1.70808,1.70892,1.70926,1.70911,1.70849,1.70744,1.70598,1.70413,1.70193,1.69941,1.69659,1.6935,1.69019,1.68666,1.68297,1.67912,1.67515,1.67109,1.66695,1.66276,1.65853,1.65428,1.65003,1.64578,1.64155,1.63734,1.63315,1.62899,1.62485,1.62074,1.61665,1.61256,1.60848,1.60438,1.60026,1.5961,1.59189,1.5876,1.58322,1.57872,1.57408,1.56928,1.56429,1.55908,1.55362,1.54789,1.54184,1.53546,1.52869,1.52151,1.51387,1.50573,1.49706,1.48781,1.47792,1.46737,1.45609,1.44404,1.43117,1.41743,1.40275,1.3871,1.37041,1.35265,1.33374,1.31366,1.29234,1.26975,1.24586,1.22062,1.19402,1.16604,1.13667,1.10592,1.07382,1.04039,1.00569,0.969799,0.932802,0.894817,0.855983,0.81646,0.776434,0.736109,0.69571,0.655475,0.615652,0.576492,0.538243,0.501134,0.465377,0.43115,0.39859,0.367793,0.338808,0.311639,0.286249},
{1.01424,1.0151,1.01599,1.01694,1.01794,1.01899,1.02009,1.02126,1.02249,1.02378,1.02514,1.02658,1.02809,1.02968,1.03136,1.03312,1.03498,1.03694,1.03899,1.04116,1.04344,1.04584,1.04836,1.05101,1.05379,1.05672,1.05979,1.06302,1.0664,1.06996,1.07368,1.07759,1.08168,1.08597,1.09046,1.09515,1.10006,1.10519,1.11055,1.11614,1.12198,1.12806,1.1344,1.141,1.14786,1.155,1.1624,1.17009,1.17806,1.18632,1.19486,1.20369,1.21281,1.22222,1.23192,1.2419,1.25216,1.2627,1.27352,1.2846,1.29593,1.30751,1.31933,1.33137,1.34363,1.35607,1.3687,1.38148,1.39441,1.40746,1.4206,1.43382,1.44709,1.46038,1.47367,1.48692,1.50012,1.51322,1.5262,1.53903,1.55168,1.5641,1.57628,1.58818,1.59977,1.61102,1.62189,1.63237,1.64241,1.65201,1.66112,1.66974,1.67783,1.68539,1.69239,1.69883,1.70469,1.70998,1.71467,1.71878,1.72231,1.72526,1.72765,1.72948,1.73076,1.73153,1.73179,1.73157,1.73089,1.72979,1.72828,1.7264,1.72418,1.72164,1.71883,1.71576,1.71247,1.70898,1.70534,1.70155,1.69765,1.69366,1.6896,1.68549,1.68135,1.67719,1.67302,1.66885,1.66469,1.66054,1.65641,1.65228,1.64817,1.64407,1.63996,1.63584,1.6317,1.62752,1.6233,1.619,1.61462,1.61012,1.60551,1.60073,1.59579,1.59063,1.58525,1.5796,1.57367,1.5674,1.56078,1.55376,1.5463,1.53838,1.52994,1.52094,1.51134,1.5011,1.49016,1.47848,1.466,1.45268,1.43847,1.4233,1.40714,1.38992,1.3716,1.35212,1.33144,1.30951,1.28629,1.26174,1.23584,1.20856,1.17989,1.14982,1.11837,1.08555,1.05141,1.016,0.97941,0.941723,0.903063,0.863574,0.823421,0.782793,0.741898,0.700964,0.660234,0.619956,0.580384,0.541763,0.504324,0.468275,0.43379,0.401003,0.370006,0.34084,0.313505,0.287962},
{1.01413,1.01498,1.01588,1.01682,1.01781,1.01885,1.01995,1.02111,1.02233,1.02362,1.02497,1.0264,1.02791,1.02949,1.03116,1.03292,1.03477,1.03672,1.03877,1.04093,1.0432,1.04559,1.0481,1.05075,1.05353,1.05645,1.05951,1.06274,1.06612,1.06967,1.07339,1.0773,1.08139,1.08568,1.09018,1.09488,1.0998,1.10494,1.11031,1.11593,1.12178,1.12789,1.13426,1.1409,1.1478,1.15498,1.16244,1.17019,1.17822,1.18655,1.19518,1.2041,1.21332,1.22284,1.23266,1.24277,1.25318,1.26388,1.27486,1.28612,1.29765,1.30944,1.32149,1.33377,1.34627,1.35899,1.3719,1.38499,1.39824,1.41162,1.42512,1.43871,1.45236,1.46606,1.47976,1.49345,1.5071,1.52067,1.53413,1.54745,1.5606,1.57355,1.58626,1.59869,1.61083,1.62264,1.63407,1.64512,1.65574,1.66591,1.6756,1.6848,1.69347,1.7016,1.70918,1.71618,1.7226,1.72843,1.73367,1.73831,1.74236,1.74581,1.74869,1.75099,1.75274,1.75394,1.75463,1.75482,1.75453,1.7538,1.75264,1.7511,1.74919,1.74695,1.74442,1.74161,1.73856,1.7353,1.73186,1.72826,1.72453,1.7207,1.71678,1.71279,1.70875,1.70468,1.70059,1.69649,1.69238,1.68826,1.68415,1.68004,1.67592,1.6718,1.66766,1.6635,1.6593,1.65506,1.65074,1.64635,1.64186,1.63724,1.63249,1.62756,1.62244,1.61711,1.61152,1.60566,1.59949,1.59298,1.58608,1.57878,1.57102,1.56276,1.55397,1.54461,1.53462,1.52396,1.51259,1.50045,1.48749,1.47367,1.45892,1.4432,1.42646,1.40864,1.38969,1.36956,1.34821,1.32559,1.30166,1.27638,1.24973,1.22169,1.19225,1.1614,1.12916,1.09555,1.06063,1.02445,0.987091,0.948658,0.909277,0.869093,0.828281,0.787033,0.745562,0.704102,0.662896,0.622198,0.58226,0.543327,0.505628,0.469367,0.434711,0.401789,0.370685,0.341433,0.314027,0.28842},
{1.01402,1.01486,1.01575,1.01669,1.01767,1.01871,1.0198,1.02096,1.02217,1.02345,1.0248,1.02622,1.02772,1.02929,1.03096,1.03271,1.03455,1.03649,1.03853,1.04068,1.04295,1.04533,1.04783,1.05047,1.05324,1.05615,1.05922,1.06243,1.06581,1.06935,1.07308,1.07698,1.08107,1.08536,1.08986,1.09456,1.09949,1.10464,1.11003,1.11566,1.12153,1.12767,1.13406,1.14073,1.14767,1.15489,1.1624,1.1702,1.1783,1.1867,1.1954,1.20441,1.21373,1.22335,1.23329,1.24353,1.25407,1.26492,1.27607,1.2875,1.29923,1.31122,1.32348,1.336,1.34876,1.36174,1.37494,1.38833,1.40189,1.41561,1.42946,1.44341,1.45745,1.47155,1.48568,1.4998,1.5139,1.52794,1.54188,1.5557,1.56936,1.58283,1.59608,1.60907,1.62176,1.63413,1.64615,1.65777,1.66898,1.67974,1.69002,1.69981,1.70908,1.7178,1.72596,1.73354,1.74054,1.74694,1.75273,1.75792,1.7625,1.76648,1.76987,1.77266,1.77489,1.77656,1.77769,1.7783,1.77843,1.77808,1.7773,1.77611,1.77453,1.77261,1.77036,1.76783,1.76503,1.76201,1.75879,1.75539,1.75185,1.74818,1.74441,1.74056,1.73664,1.73267,1.72867,1.72464,1.72058,1.71652,1.71243,1.70834,1.70423,1.7001,1.69593,1.69174,1.68749,1.68318,1.67879,1.67431,1.66972,1.66499,1.6601,1.65503,1.64975,1.64425,1.63847,1.63241,1.62602,1.61926,1.61212,1.60454,1.59649,1.58793,1.57881,1.5691,1.55875,1.5477,1.53592,1.52335,1.50995,1.49565,1.48041,1.46418,1.4469,1.42853,1.409,1.38827,1.3663,1.34304,1.31846,1.29251,1.26518,1.23644,1.20628,1.17472,1.14175,1.10743,1.07178,1.03488,0.996806,0.957674,0.91761,0.876766,0.835318,0.793465,0.751422,0.709426,0.667725,0.626572,0.586222,0.546919,0.50889,0.472336,0.437421,0.40427,0.372961,0.343525,0.315949,0.290185},
{1.0139,1.01474,1.01562,1.01655,1.01753,1.01856,1.01965,1.0208,1.022,1.02328,1.02462,1.02603,1.02752,1.02909,1.03074,1.03248,1.03432,1.03625,1.03828,1.04042,1.04268,1.04505,1.04755,1.05017,1.05294,1.05584,1.05889,1.0621,1.06547,1.06901,1.07273,1.07663,1.08072,1.08501,1.0895,1.09421,1.09914,1.1043,1.10969,1.11533,1.12123,1.12738,1.1338,1.14049,1.14746,1.15472,1.16228,1.17013,1.17828,1.18675,1.19552,1.20461,1.21402,1.22375,1.23379,1.24415,1.25483,1.26583,1.27713,1.28874,1.30064,1.31284,1.32531,1.33806,1.35106,1.36431,1.37778,1.39147,1.40534,1.41939,1.43359,1.44791,1.46233,1.47683,1.49138,1.50594,1.52049,1.53499,1.54942,1.56374,1.57792,1.59192,1.6057,1.61924,1.6325,1.64545,1.65804,1.67026,1.68206,1.69342,1.70431,1.7147,1.72457,1.73389,1.74265,1.75083,1.75842,1.7654,1.77177,1.77752,1.78265,1.78717,1.79108,1.79438,1.7971,1.79925,1.80083,1.80189,1.80243,1.80249,1.80209,1.80126,1.80003,1.79843,1.79649,1.79423,1.7917,1.78893,1.78593,1.78274,1.77938,1.77588,1.77226,1.76855,1.76475,1.76088,1.75696,1.75299,1.74899,1.74496,1.7409,1.73681,1.73269,1.72853,1.72433,1.72008,1.71576,1.71137,1.70688,1.70228,1.69755,1.69268,1.68762,1.68238,1.6769,1.67118,1.66517,1.65885,1.65219,1.64514,1.63768,1.62977,1.62137,1.61243,1.60291,1.59277,1.58197,1.57045,1.55816,1.54507,1.53111,1.51623,1.50039,1.48353,1.46559,1.44653,1.42629,1.40483,1.3821,1.35806,1.33267,1.3059,1.27773,1.24814,1.21713,1.1847,1.15086,1.11567,1.07917,1.04142,1.00253,0.962595,0.921765,0.880194,0.838065,0.795582,0.752968,0.710463,0.668318,0.626788,0.586128,0.546582,0.50837,0.471689,0.436695,0.403502,0.37218,0.342749,0.315191,0.289448},
{1.01378,1.01461,1.01549,1.01641,1.01739,1.01841,1.01949,1.02063,1.02183,1.0231,1.02443,1.02583,1.02731,1.02887,1.03052,1.03225,1.03407,1.03599,1.03802,1.04015,1.04239,1.04476,1.04724,1.04986,1.05261,1.0555,1.05855,1.06175,1.06511,1.06864,1.07235,1.07624,1.08033,1.08461,1.0891,1.09381,1.09874,1.1039,1.10931,1.11496,1.12086,1.12703,1.13347,1.14018,1.14719,1.15448,1.16207,1.16997,1.17818,1.1867,1.19554,1.20471,1.2142,1.22402,1.23417,1.24465,1.25546,1.26659,1.27805,1.28982,1.30191,1.3143,1.32698,1.33995,1.3532,1.3667,1.38045,1.39443,1.40861,1.42299,1.43753,1.45222,1.46703,1.48192,1.49689,1.51189,1.52689,1.54187,1.55679,1.57161,1.58631,1.60084,1.61517,1.62928,1.64311,1.65664,1.66983,1.68264,1.69505,1.70703,1.71853,1.72954,1.74003,1.74998,1.75936,1.76815,1.77635,1.78393,1.79089,1.79722,1.80293,1.80801,1.81246,1.8163,1.81953,1.82218,1.82425,1.82577,1.82676,1.82724,1.82724,1.8268,1.82593,1.82467,1.82306,1.82111,1.81887,1.81635,1.8136,1.81064,1.80749,1.80418,1.80073,1.79717,1.7935,1.78976,1.78594,1.78206,1.77813,1.77416,1.77014,1.76607,1.76197,1.75781,1.75359,1.74931,1.74495,1.7405,1.73595,1.73127,1.72644,1.72145,1.71628,1.71089,1.70526,1.69937,1.69318,1.68666,1.67978,1.67251,1.66481,1.65663,1.64794,1.63871,1.62888,1.61841,1.60725,1.59536,1.58269,1.56919,1.55481,1.53949,1.52318,1.50583,1.48739,1.46781,1.44703,1.42501,1.40171,1.37708,1.35108,1.32369,1.29489,1.26466,1.23299,1.19989,1.16539,1.12952,1.09234,1.05393,1.01436,0.973774,0.932295,0.890089,0.847342,0.804261,0.761071,0.718016,0.675349,0.633326,0.592203,0.552222,0.513606,0.476549,0.441204,0.407686,0.376059,0.346343,0.318515,0.292518},
{1.01365,1.01448,1.01535,1.01627,1.01723,1.01825,1.01933,1.02046,1.02165,1.02291,1.02423,1.02563,1.0271,1.02865,1.03028,1.032,1.03382,1.03573,1.03774,1.03986,1.04209,1.04444,1.04692,1.04952,1.05226,1.05515,1.05818,1.06137,1.06472,1.06824,1.07194,1.07582,1.0799,1.08418,1.08867,1.09337,1.0983,1.10346,1.10887,1.11452,1.12044,1.12662,1.13307,1.13981,1.14683,1.15416,1.16178,1.16972,1.17798,1.18656,1.19546,1.2047,1.21427,1.22418,1.23443,1.24501,1.25594,1.26721,1.27881,1.29074,1.303,1.31558,1.32847,1.34166,1.35514,1.36889,1.38291,1.39717,1.41166,1.42636,1.44124,1.45629,1.47147,1.48677,1.50215,1.51758,1.53304,1.54848,1.56389,1.57922,1.59443,1.6095,1.62439,1.63905,1.65346,1.66758,1.68136,1.69479,1.70781,1.72041,1.73254,1.74418,1.7553,1.76587,1.77588,1.7853,1.79411,1.80231,1.80988,1.81681,1.8231,1.82875,1.83376,1.83814,1.8419,1.84506,1.84762,1.84961,1.85105,1.85197,1.85239,1.85234,1.85184,1.85094,1.84965,1.84801,1.84605,1.8438,1.8413,1.83856,1.83561,1.83249,1.8292,1.82578,1.82225,1.81861,1.81488,1.81107,1.8072,1.80326,1.79926,1.79519,1.79107,1.78688,1.78261,1.77827,1.77382,1.76927,1.7646,1.75978,1.7548,1.74964,1.74427,1.73867,1.73282,1.72668,1.72022,1.71341,1.70621,1.69861,1.69054,1.68198,1.67289,1.66322,1.65293,1.64198,1.63031,1.61788,1.60464,1.59055,1.57554,1.55956,1.54257,1.52451,1.50533,1.48498,1.46341,1.44057,1.41642,1.39092,1.36404,1.33574,1.30602,1.27485,1.24223,1.20819,1.17275,1.13594,1.09784,1.05851,1.01807,0.97664,0.93436,0.891403,0.847963,0.804254,0.760506,0.716968,0.673897,0.63155,0.590181,0.550031,0.511315,0.474219,0.438887,0.405419,0.373872,0.344252,0.316527,0.290632},
{1.01352,1.01434,1.01521,1.01612,1.01708,1.01809,1.01916,1.02028,1.02146,1.02271,1.02403,1.02541,1.02687,1.02841,1.03004,1.03175,1.03355,1.03545,1.03745,1.03956,1.04178,1.04412,1.04658,1.04917,1.0519,1.05477,1.05779,1.06096,1.0643,1.06781,1.0715,1.07537,1.07944,1.08371,1.08819,1.09289,1.09781,1.10297,1.10838,1.11403,1.11995,1.12614,1.13261,1.13936,1.1464,1.15375,1.16141,1.16939,1.17768,1.18631,1.19527,1.20457,1.21422,1.22421,1.23455,1.24524,1.25629,1.26768,1.27942,1.29151,1.30393,1.31669,1.32978,1.34318,1.35689,1.37089,1.38517,1.39972,1.41451,1.42953,1.44475,1.46015,1.47571,1.49141,1.5072,1.52307,1.53898,1.5549,1.57079,1.58663,1.60237,1.61798,1.63343,1.64866,1.66366,1.67837,1.69277,1.70681,1.72047,1.7337,1.74647,1.75875,1.77052,1.78174,1.7924,1.80246,1.81192,1.82075,1.82894,1.83649,1.84339,1.84964,1.85523,1.86018,1.8645,1.86819,1.87127,1.87376,1.87569,1.87706,1.87792,1.87829,1.87819,1.87766,1.87673,1.87542,1.87378,1.87182,1.86958,1.86709,1.86438,1.86146,1.85837,1.85512,1.85173,1.84823,1.84461,1.84091,1.83711,1.83324,1.82928,1.82525,1.82115,1.81696,1.81268,1.8083,1.80381,1.7992,1.79445,1.78955,1.78446,1.77918,1.77368,1.76793,1.76191,1.75559,1.74893,1.74191,1.73449,1.72663,1.7183,1.70946,1.70007,1.69009,1.67946,1.66816,1.65612,1.6433,1.62965,1.61513,1.59967,1.58323,1.56575,1.54719,1.52749,1.50659,1.48446,1.46104,1.4363,1.41019,1.38268,1.35374,1.32336,1.29153,1.25824,1.22352,1.18739,1.1499,1.11111,1.0711,1.02998,0.987881,0.944943,0.901344,0.857279,0.812966,0.768639,0.724549,0.680953,0.638111,0.596277,0.555693,0.516571,0.479098,0.443415,0.40962,0.377766,0.347858,0.319862,0.293711},
{1.01339,1.0142,1.01506,1.01596,1.01692,1.01792,1.01898,1.02009,1.02127,1.02251,1.02381,1.02519,1.02664,1.02817,1.02978,1.03148,1.03327,1.03516,1.03715,1.03924,1.04145,1.04377,1.04622,1.0488,1.05151,1.05437,1.05737,1.06053,1.06386,1.06736,1.07103,1.07489,1.07895,1.0832,1.08767,1.09236,1.09728,1.10243,1.10784,1.11349,1.11941,1.1256,1.13208,1.13884,1.1459,1.15327,1.16095,1.16896,1.17729,1.18596,1.19497,1.20433,1.21405,1.22411,1.23454,1.24533,1.25648,1.26799,1.27987,1.2921,1.30468,1.31762,1.33089,1.3445,1.35843,1.37267,1.38721,1.40203,1.41712,1.43245,1.448,1.46375,1.47969,1.49577,1.51197,1.52827,1.54463,1.56102,1.57741,1.59375,1.61001,1.62617,1.64217,1.65798,1.67356,1.68888,1.70389,1.71855,1.73284,1.74671,1.76013,1.77307,1.78549,1.79737,1.80868,1.8194,1.82951,1.83899,1.84782,1.856,1.86352,1.87037,1.87656,1.88209,1.88697,1.89121,1.89482,1.89782,1.90023,1.90208,1.90338,1.90418,1.90448,1.90433,1.90376,1.90279,1.90146,1.8998,1.89783,1.89559,1.89309,1.89038,1.88747,1.88438,1.88114,1.87775,1.87424,1.87061,1.86688,1.86304,1.85911,1.85509,1.85097,1.84674,1.84241,1.83796,1.83339,1.82867,1.82379,1.81874,1.81349,1.80803,1.80232,1.79635,1.79008,1.78349,1.77655,1.76922,1.76146,1.75325,1.74454,1.7353,1.72548,1.71503,1.70393,1.69211,1.67954,1.66615,1.65192,1.63677,1.62066,1.60354,1.58536,1.56606,1.54559,1.52391,1.50096,1.4767,1.45109,1.4241,1.39568,1.36582,1.3345,1.30172,1.26748,1.2318,1.19472,1.15629,1.11657,1.07566,1.03366,0.990722,0.946991,0.902651,0.857905,0.812977,0.768108,0.723551,0.679567,0.636417,0.594354,0.553611,0.5144,0.476894,0.441226,0.407483,0.375704,0.345886,0.317984,0.291926},
{1.01325,1.01406,1.01491,1.01581,1.01675,1.01775,1.01879,1.0199,1.02107,1.0223,1.02359,1.02496,1.0264,1.02791,1.02951,1.0312,1.03298,1.03485,1.03683,1.03891,1.0411,1.04341,1.04584,1.04841,1.0511,1.05394,1.05693,1.06008,1.06339,1.06687,1.07053,1.07437,1.07841,1.08266,1.08711,1.09179,1.0967,1.10184,1.10724,1.11289,1.11881,1.125,1.13147,1.13824,1.14532,1.1527,1.1604,1.16843,1.1768,1.18551,1.19457,1.20398,1.21375,1.22389,1.2344,1.24528,1.25653,1.26815,1.28015,1.29252,1.30526,1.31836,1.33182,1.34563,1.35978,1.37425,1.38904,1.40413,1.4195,1.43514,1.45102,1.46713,1.48343,1.4999,1.51652,1.53324,1.55005,1.56691,1.58379,1.60064,1.61744,1.63414,1.6507,1.66709,1.68327,1.6992,1.71483,1.73013,1.74507,1.75959,1.77368,1.78728,1.80038,1.81293,1.82492,1.83632,1.8471,1.85724,1.86674,1.87557,1.88373,1.89122,1.89803,1.90417,1.90963,1.91445,1.91861,1.92215,1.92508,1.92742,1.92921,1.93045,1.93119,1.93145,1.93127,1.93066,1.92967,1.92832,1.92665,1.92468,1.92245,1.91996,1.91726,1.91436,1.91129,1.90805,1.90467,1.90115,1.89751,1.89375,1.88987,1.88588,1.88178,1.87756,1.87322,1.86874,1.86412,1.85934,1.85438,1.84923,1.84388,1.83828,1.83243,1.8263,1.81986,1.81307,1.80592,1.79836,1.79036,1.78189,1.7729,1.76336,1.75322,1.74245,1.73099,1.7188,1.70584,1.69205,1.67738,1.66178,1.64521,1.62761,1.60892,1.5891,1.56809,1.54584,1.52231,1.49746,1.47124,1.44361,1.41455,1.38404,1.35205,1.31859,1.28367,1.2473,1.20952,1.17039,1.12997,1.08837,1.04568,1.00207,0.957669,0.912681,0.867305,0.821769,0.776317,0.731204,0.686693,0.643046,0.600515,0.559336,0.519718,0.481832,0.44581,0.411735,0.379646,0.349535,0.321357,0.295038},
{1.0131,1.01391,1.01475,1.01564,1.01658,1.01757,1.01861,1.0197,1.02086,1.02208,1.02336,1.02472,1.02614,1.02765,1.02924,1.03091,1.03267,1.03453,1.03649,1.03856,1.04074,1.04303,1.04545,1.04799,1.05067,1.0535,1.05647,1.0596,1.06289,1.06635,1.06999,1.07382,1.07785,1.08207,1.08651,1.09118,1.09607,1.1012,1.10659,1.11223,1.11814,1.12433,1.1308,1.13757,1.14465,1.15205,1.15976,1.16782,1.17621,1.18495,1.19404,1.2035,1.21333,1.22353,1.23411,1.24507,1.25642,1.26815,1.28027,1.29277,1.30565,1.31891,1.33254,1.34654,1.3609,1.3756,1.39063,1.40598,1.42164,1.43757,1.45378,1.47022,1.48689,1.50374,1.52076,1.53791,1.55517,1.5725,1.58986,1.60722,1.62454,1.64179,1.65892,1.67589,1.69267,1.7092,1.72547,1.74141,1.75699,1.77218,1.78693,1.80122,1.81499,1.82824,1.84091,1.85299,1.86446,1.87528,1.88545,1.89495,1.90377,1.9119,1.91935,1.9261,1.93218,1.93758,1.94231,1.9464,1.94986,1.95271,1.95498,1.95669,1.95787,1.95855,1.95876,1.95853,1.95789,1.95687,1.9555,1.9538,1.95182,1.94957,1.94708,1.94436,1.94145,1.93836,1.9351,1.93168,1.92812,1.92442,1.92058,1.91661,1.91251,1.90827,1.90389,1.89936,1.89466,1.88978,1.88471,1.87943,1.87392,1.86816,1.86212,1.85578,1.8491,1.84207,1.83464,1.82679,1.81848,1.80967,1.80032,1.7904,1.77986,1.76866,1.75675,1.74409,1.73063,1.71631,1.7011,1.68493,1.66776,1.64953,1.6302,1.6097,1.588,1.56503,1.54076,1.51514,1.48814,1.45971,1.42983,1.39848,1.36565,1.33133,1.29555,1.25831,1.21967,1.17968,1.13842,1.09599,1.0525,1.00811,0.962971,0.91728,0.871249,0.825106,0.779103,0.733498,0.688554,0.644535,0.601692,0.560257,0.520432,0.482386,0.44624,0.412072,0.37991,0.349741,0.321512,0.295148},
{1.01296,1.01375,1.01459,1.01547,1.0164,1.01738,1.01841,1.0195,1.02064,1.02185,1.02312,1.02447,1.02588,1.02737,1.02895,1.03061,1.03236,1.0342,1.03615,1.0382,1.04036,1.04263,1.04503,1.04756,1.05022,1.05303,1.05598,1.05909,1.06236,1.0658,1.06943,1.07323,1.07724,1.08145,1.08587,1.09052,1.09539,1.10051,1.10588,1.11151,1.11741,1.12359,1.13006,1.13683,1.14391,1.15131,1.15903,1.1671,1.17551,1.18428,1.1934,1.2029,1.21278,1.22304,1.23368,1.24472,1.25615,1.26798,1.2802,1.29283,1.30585,1.31926,1.33306,1.34724,1.3618,1.37672,1.39198,1.40759,1.42352,1.43975,1.45627,1.47305,1.49007,1.50731,1.52473,1.5423,1.56,1.57779,1.59564,1.61351,1.63136,1.64916,1.66685,1.68441,1.70179,1.71895,1.73585,1.75244,1.76869,1.78455,1.79998,1.81495,1.82943,1.84337,1.85675,1.86953,1.8817,1.89322,1.90409,1.91428,1.92377,1.93258,1.94068,1.94808,1.95478,1.96079,1.96612,1.97078,1.97479,1.97818,1.98096,1.98316,1.98481,1.98593,1.98656,1.98672,1.98645,1.98577,1.98472,1.98333,1.98162,1.97962,1.97736,1.97485,1.97213,1.96919,1.96607,1.96277,1.95931,1.95569,1.95192,1.94799,1.94391,1.93967,1.93527,1.9307,1.92595,1.921,1.91585,1.91046,1.90482,1.89892,1.89272,1.88619,1.87932,1.87208,1.86442,1.85631,1.84773,1.83863,1.82898,1.81873,1.80785,1.79628,1.78399,1.77092,1.75703,1.74227,1.72659,1.70993,1.69225,1.6735,1.65361,1.63255,1.61026,1.58668,1.56179,1.53553,1.50786,1.47876,1.44819,1.41614,1.38259,1.34755,1.31103,1.27306,1.23368,1.19296,1.15096,1.1078,1.0636,1.0185,0.972673,0.926318,0.879646,0.832893,0.78631,0.740158,0.694704,0.65021,0.606929,0.56509,0.524896,0.486511,0.450054,0.415598,0.383169,0.352749,0.324285,0.297698},
{1.01281,1.01359,1.01442,1.0153,1.01622,1.01719,1.01821,1.01928,1.02042,1.02162,1.02288,1.02421,1.02561,1.02709,1.02865,1.0303,1.03203,1.03386,1.03579,1.03782,1.03996,1.04222,1.0446,1.04711,1.04975,1.05254,1.05547,1.05856,1.06181,1.06523,1.06883,1.07261,1.0766,1.08078,1.08519,1.08981,1.09467,1.09977,1.10512,1.11073,1.11662,1.12278,1.12924,1.13601,1.14308,1.15048,1.15821,1.16628,1.17471,1.18349,1.19265,1.20218,1.21209,1.2224,1.2331,1.24421,1.25572,1.26763,1.27996,1.2927,1.30585,1.3194,1.33336,1.34772,1.36246,1.37759,1.39308,1.40894,1.42513,1.44165,1.45847,1.47558,1.49295,1.51056,1.52837,1.54636,1.5645,1.58275,1.60108,1.61945,1.63783,1.65617,1.67443,1.69258,1.71056,1.72834,1.74588,1.76312,1.78003,1.79657,1.81269,1.82836,1.84354,1.85819,1.87228,1.88578,1.89866,1.9109,1.92247,1.93336,1.94355,1.95303,1.9618,1.96986,1.9772,1.98384,1.98978,1.99503,1.99961,2.00354,2.00685,2.00955,2.01167,2.01325,2.01431,2.01487,2.01498,2.01466,2.01394,2.01285,2.01142,2.00967,2.00764,2.00534,2.00279,2.00002,1.99703,1.99385,1.99048,1.98693,1.9832,1.9793,1.97522,1.97097,1.96653,1.9619,1.95707,1.95203,1.94675,1.94123,1.93543,1.92935,1.92294,1.9162,1.90909,1.90158,1.89363,1.88522,1.87631,1.86686,1.85684,1.84619,1.83488,1.82287,1.81011,1.79655,1.78214,1.76684,1.75059,1.73335,1.71505,1.69566,1.67511,1.65335,1.63035,1.60604,1.58039,1.55335,1.52488,1.49496,1.46356,1.43066,1.39626,1.36036,1.32297,1.28412,1.24388,1.20229,1.15944,1.11545,1.07044,1.02457,0.978003,0.930949,0.883625,0.836271,0.789144,0.742505,0.696625,0.651765,0.608177,0.566086,0.52569,0.487145,0.450564,0.416011,0.383505,0.353021,0.324501,0.297863},
{1.01265,1.01343,1.01425,1.01512,1.01603,1.01699,1.018,1.01907,1.02019,1.02137,1.02262,1.02394,1.02533,1.0268,1.02834,1.02997,1.03169,1.0335,1.03541,1.03743,1.03955,1.04179,1.04415,1.04664,1.04926,1.05202,1.05493,1.05799,1.06122,1.06462,1.06819,1.07196,1.07592,1.08008,1.08446,1.08906,1.09389,1.09897,1.1043,1.10989,1.11576,1.12191,1.12835,1.1351,1.14217,1.14956,1.15729,1.16537,1.1738,1.1826,1.19177,1.20132,1.21127,1.22162,1.23237,1.24353,1.25511,1.26711,1.27953,1.29238,1.30564,1.31933,1.33344,1.34796,1.36289,1.37821,1.39393,1.41002,1.42647,1.44326,1.46039,1.47782,1.49553,1.5135,1.5317,1.5501,1.56867,1.58738,1.60619,1.62507,1.64397,1.66285,1.68168,1.70042,1.71901,1.73741,1.75559,1.77349,1.79108,1.8083,1.82513,1.8415,1.8574,1.87277,1.88759,1.90182,1.91543,1.9284,1.94069,1.9523,1.96321,1.97339,1.98286,1.99159,1.9996,2.00689,2.01345,2.01932,2.02449,2.02899,2.03285,2.03607,2.0387,2.04075,2.04226,2.04325,2.04376,2.04381,2.04344,2.04268,2.04155,2.04007,2.03829,2.03621,2.03387,2.03127,2.02844,2.02539,2.02212,2.01865,2.01499,2.01113,2.00708,2.00282,1.99837,1.9937,1.98881,1.98369,1.97831,1.97267,1.96673,1.96049,1.95391,1.94697,1.93964,1.9319,1.9237,1.91501,1.9058,1.89604,1.88568,1.87468,1.86299,1.85058,1.8374,1.8234,1.80853,1.79275,1.77599,1.75822,1.73938,1.71941,1.69827,1.67591,1.65227,1.62732,1.60099,1.57327,1.5441,1.51345,1.48132,1.44767,1.41251,1.37583,1.33767,1.29805,1.25702,1.21466,1.17105,1.1263,1.08055,1.03395,0.986678,0.938948,0.89098,0.843017,0.795318,0.748149,0.701779,0.656472,0.612479,0.570022,0.529296,0.490456,0.453607,0.418811,0.386082,0.35539,0.326675,0.299852},
{1.01249,1.01326,1.01408,1.01493,1.01583,1.01678,1.01779,1.01884,1.01995,1.02113,1.02236,1.02367,1.02504,1.02649,1.02802,1.02963,1.03134,1.03313,1.03502,1.03702,1.03912,1.04134,1.04368,1.04615,1.04874,1.05148,1.05437,1.05741,1.06061,1.06398,1.06753,1.07127,1.0752,1.07933,1.08368,1.08826,1.09307,1.09812,1.10342,1.10899,1.11483,1.12096,1.12739,1.13412,1.14117,1.14855,1.15627,1.16435,1.17278,1.18158,1.19077,1.20034,1.21031,1.22069,1.23149,1.2427,1.25434,1.26641,1.27891,1.29185,1.30523,1.31904,1.33328,1.34796,1.36306,1.37857,1.39449,1.41081,1.42751,1.44457,1.46198,1.47972,1.49777,1.51609,1.53467,1.55348,1.57247,1.59163,1.61092,1.63029,1.64971,1.66913,1.68853,1.70784,1.72704,1.74607,1.76489,1.78345,1.80172,1.81963,1.83716,1.85425,1.87087,1.88697,1.90252,1.91749,1.93184,1.94555,1.95858,1.97092,1.98255,1.99346,2.00363,2.01305,2.02174,2.02969,2.0369,2.04339,2.04917,2.05425,2.05867,2.06243,2.06557,2.06811,2.07007,2.0715,2.07242,2.07286,2.07284,2.0724,2.07158,2.07038,2.06885,2.06699,2.06485,2.06242,2.05974,2.05681,2.05364,2.05025,2.04663,2.0428,2.03875,2.03448,2.02999,2.02526,2.02028,2.01505,2.00954,2.00375,1.99764,1.9912,1.9844,1.97722,1.96963,1.96159,1.95308,1.94407,1.9345,1.92436,1.91359,1.90216,1.89003,1.87714,1.86346,1.84893,1.83351,1.81714,1.79978,1.78138,1.76188,1.74123,1.71939,1.69629,1.6719,1.64616,1.61904,1.59049,1.56048,1.52897,1.49596,1.46142,1.42536,1.38778,1.34871,1.30818,1.26625,1.223,1.17851,1.13291,1.08633,1.03894,0.990926,0.942496,0.893882,0.845331,0.797106,0.749475,0.702711,0.657075,0.612815,0.57015,0.529268,0.490314,0.453387,0.41854,0.385776,0.355061,0.326326,0.299488},
{1.01233,1.01309,1.0139,1.01474,1.01563,1.01657,1.01756,1.01861,1.01971,1.02087,1.02209,1.02338,1.02474,1.02618,1.02769,1.02929,1.03097,1.03275,1.03462,1.03659,1.03868,1.04087,1.04319,1.04563,1.04821,1.05092,1.05378,1.05679,1.05997,1.06331,1.06683,1.07054,1.07444,1.07855,1.08287,1.08741,1.09219,1.09721,1.10248,1.10802,1.11384,1.11994,1.12635,1.13306,1.14009,1.14745,1.15516,1.16322,1.17165,1.18045,1.18964,1.19922,1.20921,1.21961,1.23044,1.2417,1.25339,1.26552,1.27809,1.29112,1.30459,1.31852,1.33289,1.34771,1.36297,1.37866,1.39478,1.41131,1.42825,1.44557,1.46326,1.4813,1.49967,1.51835,1.5373,1.5565,1.57592,1.59552,1.61527,1.63514,1.65507,1.67504,1.695,1.7149,1.73471,1.75436,1.77383,1.79306,1.812,1.83062,1.84886,1.86667,1.88403,1.90087,1.91718,1.9329,1.94801,1.96247,1.97626,1.98935,2.00173,2.01337,2.02427,2.03442,2.0438,2.05244,2.06032,2.06746,2.07387,2.07956,2.08456,2.08889,2.09256,2.09562,2.09807,2.09996,2.10131,2.10215,2.10252,2.10244,2.10193,2.10104,2.09978,2.09817,2.09624,2.09401,2.0915,2.08871,2.08567,2.08237,2.07884,2.07505,2.07103,2.06677,2.06226,2.05749,2.05245,2.04714,2.04153,2.03562,2.02937,2.02276,2.01578,2.0084,2.00058,1.9923,1.98353,1.97422,1.96435,1.95388,1.94277,1.93097,1.91844,1.90515,1.89103,1.87605,1.86015,1.84329,1.82542,1.80647,1.78642,1.76519,1.74274,1.71902,1.69399,1.66759,1.63979,1.61054,1.57981,1.54758,1.51382,1.47853,1.4417,1.40335,1.36349,1.32218,1.27947,1.23543,1.19017,1.14381,1.09648,1.04837,0.99965,0.950546,0.901289,0.852129,0.803335,0.755176,0.707925,0.661844,0.61718,0.57415,0.532939,0.493688,0.456492,0.421398,0.388406,0.357478,0.328543,0.301515},
{1.01216,1.01292,1.01371,1.01455,1.01543,1.01636,1.01734,1.01837,1.01946,1.0206,1.02181,1.02309,1.02443,1.02585,1.02735,1.02893,1.03059,1.03235,1.0342,1.03616,1.03822,1.04039,1.04268,1.0451,1.04765,1.05033,1.05317,1.05615,1.05929,1.06261,1.0661,1.06977,1.07364,1.07772,1.082,1.08652,1.09126,1.09625,1.10149,1.107,1.11278,1.11885,1.12523,1.13191,1.13891,1.14625,1.15394,1.16199,1.1704,1.17919,1.18838,1.19796,1.20796,1.21838,1.22923,1.24052,1.25225,1.26443,1.27707,1.29018,1.30374,1.31776,1.33225,1.34721,1.36261,1.37847,1.39478,1.41152,1.42868,1.44625,1.46421,1.48254,1.50122,1.52023,1.53955,1.55914,1.57896,1.599,1.61922,1.63957,1.66002,1.68052,1.70104,1.72153,1.74193,1.76222,1.78234,1.80223,1.82186,1.84118,1.86014,1.87869,1.89678,1.91438,1.93145,1.94794,1.96381,1.97905,1.99361,2.00747,2.02061,2.033,2.04465,2.05553,2.06564,2.07498,2.08355,2.09136,2.09842,2.10474,2.11035,2.11526,2.11949,2.12307,2.12603,2.1284,2.1302,2.13147,2.13223,2.13251,2.13235,2.13177,2.13079,2.12945,2.12775,2.12573,2.12339,2.12076,2.11785,2.11466,2.1112,2.10747,2.10348,2.09923,2.0947,2.0899,2.0848,2.07941,2.0737,2.06766,2.06127,2.0545,2.04734,2.03974,2.0317,2.02317,2.01413,2.00454,1.99436,1.98356,1.97209,1.95992,1.947,1.93329,1.91874,1.9033,1.88692,1.86956,1.85116,1.83168,1.81106,1.78925,1.76619,1.74185,1.71617,1.68911,1.66062,1.63067,1.59923,1.56626,1.53176,1.49571,1.45811,1.41898,1.37834,1.33624,1.29274,1.24792,1.20189,1.15476,1.10669,1.05784,1.00842,0.958642,0.908741,0.858973,0.809609,0.760921,0.713182,0.666656,0.621587,0.578191,0.536649,0.4971,0.459632,0.424289,0.391066,0.359923,0.330785,0.303565},
{1.01199,1.01274,1.01352,1.01435,1.01522,1.01614,1.0171,1.01812,1.0192,1.02033,1.02153,1.02279,1.02412,1.02552,1.027,1.02856,1.0302,1.03194,1.03377,1.0357,1.03774,1.03989,1.04215,1.04455,1.04707,1.04972,1.05253,1.05548,1.05859,1.06188,1.06533,1.06897,1.07281,1.07685,1.0811,1.08557,1.09028,1.09523,1.10044,1.10591,1.11165,1.11769,1.12403,1.13068,1.13765,1.14496,1.15262,1.16064,1.16904,1.17781,1.18699,1.19657,1.20657,1.21699,1.22786,1.23917,1.25093,1.26315,1.27585,1.28901,1.30265,1.31677,1.33136,1.34643,1.36198,1.37799,1.39447,1.4114,1.42877,1.44658,1.46479,1.4834,1.50239,1.52173,1.54139,1.56136,1.58159,1.60205,1.62272,1.64355,1.6645,1.68553,1.7066,1.72767,1.74868,1.76959,1.79035,1.81092,1.83123,1.85126,1.87093,1.89021,1.90906,1.92742,1.94525,1.96251,1.97917,1.99519,2.01053,2.02517,2.03908,2.05225,2.06465,2.07628,2.08713,2.09719,2.10646,2.11496,2.12269,2.12966,2.13588,2.14139,2.14619,2.15032,2.1538,2.15666,2.15893,2.16063,2.1618,2.16246,2.16265,2.16239,2.1617,2.16062,2.15916,2.15735,2.1552,2.15272,2.14993,2.14684,2.14346,2.13978,2.13582,2.13157,2.12702,2.12217,2.11701,2.11152,2.1057,2.09952,2.09296,2.08601,2.07863,2.07081,2.06252,2.05372,2.04438,2.03447,2.02395,2.01278,2.00093,1.98834,1.97499,1.96082,1.94579,1.92985,1.91295,1.89504,1.87607,1.85599,1.83475,1.81229,1.78857,1.76354,1.73716,1.70936,1.68013,1.64941,1.61718,1.58341,1.54809,1.51121,1.47277,1.43279,1.3913,1.34836,1.30401,1.25835,1.21149,1.16356,1.1147,1.0651,1.01496,0.964495,0.913954,0.863594,0.813688,0.764512,0.716338,0.66943,0.62403,0.58035,0.538567,0.498811,0.461166,0.425669,0.392309,0.361041,0.331786,0.304456},
{1.01181,1.01255,1.01333,1.01414,1.015,1.01591,1.01687,1.01787,1.01893,1.02005,1.02123,1.02248,1.02379,1.02517,1.02663,1.02817,1.0298,1.03151,1.03332,1.03523,1.03724,1.03937,1.04161,1.04397,1.04646,1.04909,1.05186,1.05478,1.05786,1.06111,1.06453,1.06814,1.07193,1.07593,1.08014,1.08458,1.08924,1.09415,1.09932,1.10475,1.11046,1.11645,1.12275,1.12936,1.1363,1.14357,1.1512,1.15919,1.16755,1.17631,1.18546,1.19503,1.20502,1.21544,1.22631,1.23763,1.24941,1.26167,1.2744,1.28762,1.30132,1.31552,1.33021,1.34539,1.36106,1.37721,1.39385,1.41096,1.42854,1.44656,1.46502,1.4839,1.50317,1.52283,1.54283,1.56316,1.58378,1.60467,1.62578,1.64708,1.66853,1.69009,1.71171,1.73335,1.75496,1.7765,1.79791,1.81914,1.84015,1.86088,1.88128,1.90131,1.92091,1.94004,1.95866,1.97671,1.99416,2.01097,2.02712,2.04256,2.05726,2.07122,2.08441,2.09681,2.10842,2.11923,2.12923,2.13844,2.14686,2.1545,2.16138,2.16751,2.17291,2.17762,2.18164,2.18502,2.18778,2.18994,2.19155,2.19262,2.19318,2.19327,2.1929,2.19211,2.19092,2.18934,2.18739,2.18509,2.18246,2.1795,2.17622,2.17263,2.16872,2.16449,2.15995,2.15509,2.14988,2.14434,2.13843,2.13215,2.12547,2.11837,2.11083,2.10282,2.09432,2.08529,2.07571,2.06553,2.05472,2.04325,2.03107,2.01815,2.00443,1.98988,1.97445,1.95809,1.94075,1.92238,1.90293,1.88236,1.8606,1.83761,1.81334,1.78774,1.76076,1.73237,1.70251,1.67115,1.63827,1.60383,1.56783,1.53025,1.49111,1.45041,1.4082,1.36453,1.31945,1.27306,1.22547,1.17682,1.12724,1.07694,1.0261,0.974969,0.923777,0.872791,0.822286,0.772538,0.723823,0.676404,0.630523,0.586392,0.544186,0.504034,0.466016,0.430168,0.396476,0.364894,0.335341,0.30773},
{1.01163,1.01236,1.01313,1.01393,1.01478,1.01568,1.01662,1.01761,1.01866,1.01976,1.02093,1.02216,1.02345,1.02482,1.02626,1.02778,1.02938,1.03108,1.03286,1.03474,1.03673,1.03883,1.04104,1.04337,1.04584,1.04843,1.05117,1.05406,1.0571,1.06031,1.06369,1.06726,1.07102,1.07498,1.07915,1.08354,1.08816,1.09302,1.09814,1.10353,1.10919,1.11514,1.12139,1.12796,1.13485,1.14208,1.14967,1.15762,1.16595,1.17467,1.1838,1.19334,1.20331,1.21372,1.22458,1.23591,1.2477,1.25998,1.27274,1.28599,1.29975,1.31401,1.32878,1.34405,1.35983,1.37612,1.3929,1.41018,1.42794,1.44617,1.46486,1.48399,1.50354,1.5235,1.54383,1.56451,1.58551,1.6068,1.62835,1.65011,1.67204,1.69412,1.71628,1.73849,1.76069,1.78285,1.8049,1.8268,1.8485,1.86994,1.89107,1.91184,1.9322,1.95211,1.9715,1.99035,2.00861,2.02623,2.04318,2.05943,2.07494,2.0897,2.10369,2.11687,2.12926,2.14083,2.15158,2.16151,2.17064,2.17897,2.18651,2.19328,2.1993,2.2046,2.20918,2.2131,2.21636,2.219,2.22105,2.22254,2.22349,2.22393,2.22389,2.2234,2.22247,2.22113,2.2194,2.21728,2.2148,2.21197,2.20879,2.20527,2.20141,2.19721,2.19267,2.18778,2.18253,2.17691,2.17091,2.1645,2.15768,2.15042,2.14269,2.13448,2.12575,2.11647,2.10661,2.09614,2.08502,2.07321,2.06067,2.04737,2.03325,2.01828,2.00241,1.98558,1.96776,1.94889,1.92891,1.90779,1.88546,1.86189,1.83701,1.81078,1.78315,1.75409,1.72354,1.69148,1.65787,1.6227,1.58595,1.54761,1.50769,1.46621,1.42322,1.37875,1.33288,1.28571,1.23734,1.18791,1.13759,1.08655,1.03501,0.983198,0.931361,0.879765,0.828689,0.778411,0.729207,0.68134,0.635053,0.590552,0.548011,0.507555,0.469259,0.433155,0.399225,0.367419,0.337656,0.309845},
{1.01145,1.01217,1.01292,1.01372,1.01456,1.01544,1.01637,1.01735,1.01838,1.01947,1.02062,1.02183,1.02311,1.02445,1.02588,1.02737,1.02896,1.03063,1.03239,1.03425,1.03621,1.03827,1.04046,1.04276,1.04519,1.04775,1.05046,1.05331,1.05631,1.05948,1.06283,1.06635,1.07007,1.07398,1.0781,1.08245,1.08702,1.09184,1.09691,1.10224,1.10785,1.11375,1.11995,1.12647,1.13331,1.1405,1.14804,1.15594,1.16423,1.17291,1.182,1.19151,1.20145,1.21184,1.22268,1.234,1.24579,1.25807,1.27085,1.28413,1.29793,1.31224,1.32707,1.34243,1.3583,1.3747,1.39161,1.40904,1.42697,1.44539,1.46429,1.48366,1.50347,1.52371,1.54436,1.56537,1.58674,1.60842,1.63038,1.65259,1.675,1.69758,1.72027,1.74304,1.76583,1.78859,1.81128,1.83384,1.85622,1.87836,1.90022,1.92173,1.94286,1.96353,1.98372,2.00337,2.02243,2.04086,2.05863,2.07569,2.09202,2.1076,2.12238,2.13637,2.14954,2.16188,2.17339,2.18407,2.19392,2.20295,2.21117,2.21859,2.22524,2.23113,2.2363,2.24075,2.24453,2.24766,2.25016,2.25207,2.25341,2.25422,2.25451,2.25432,2.25366,2.25256,2.25103,2.2491,2.24677,2.24406,2.24097,2.23752,2.2337,2.22951,2.22495,2.22001,2.2147,2.20898,2.20286,2.19631,2.18932,2.18187,2.17392,2.16547,2.15647,2.1469,2.13673,2.12592,2.11444,2.10225,2.08931,2.07557,2.061,2.04555,2.02917,2.01182,1.99344,1.97399,1.95342,1.93167,1.9087,1.88445,1.85887,1.83192,1.80356,1.77373,1.7424,1.70953,1.6751,1.63909,1.60148,1.56228,1.52149,1.47913,1.43525,1.3899,1.34316,1.29512,1.2459,1.19565,1.14452,1.09272,1.04045,0.987958,0.93549,0.883316,0.831719,0.78098,0.731374,0.683162,0.636585,0.591845,0.549107,0.50849,0.470063,0.433848,0.399821,0.367928,0.338085,0.310199},
{1.01126,1.01197,1.01271,1.0135,1.01432,1.01519,1.01611,1.01708,1.01809,1.01917,1.0203,1.02149,1.02275,1.02408,1.02548,1.02696,1.02852,1.03016,1.0319,1.03373,1.03566,1.0377,1.03985,1.04212,1.04452,1.04705,1.04971,1.05253,1.05549,1.05862,1.06192,1.0654,1.06907,1.07294,1.07701,1.0813,1.08583,1.09059,1.0956,1.10088,1.10644,1.11228,1.11843,1.12489,1.13167,1.1388,1.14629,1.15414,1.16238,1.17101,1.18005,1.18952,1.19942,1.20978,1.22059,1.23189,1.24367,1.25594,1.26872,1.28202,1.29584,1.31019,1.32507,1.34049,1.35645,1.37295,1.38998,1.40754,1.42562,1.44422,1.46332,1.48291,1.50297,1.52348,1.54442,1.56576,1.58748,1.60954,1.63191,1.65455,1.67743,1.7005,1.72372,1.74704,1.77041,1.79378,1.8171,1.84033,1.86339,1.88624,1.90883,1.93109,1.95298,1.97445,1.99543,2.01589,2.03577,2.05503,2.07364,2.09154,2.10871,2.12512,2.14074,2.15555,2.16953,2.18267,2.19497,2.20642,2.21702,2.22679,2.23571,2.24383,2.25114,2.25766,2.26343,2.26847,2.2728,2.27645,2.27944,2.28181,2.28358,2.28479,2.28545,2.28559,2.28524,2.28442,2.28314,2.28142,2.27929,2.27674,2.27379,2.27044,2.2667,2.26257,2.25804,2.25312,2.24778,2.24203,2.23584,2.22921,2.22211,2.21453,2.20644,2.19782,2.18863,2.17886,2.16846,2.1574,2.14565,2.13318,2.11993,2.10588,2.09096,2.07516,2.0584,2.04065,2.02187,2.00199,1.98096,1.95875,1.93529,1.91054,1.88445,1.85697,1.82805,1.79765,1.76573,1.73227,1.69722,1.66058,1.62232,1.58246,1.54099,1.49795,1.45338,1.40733,1.35989,1.31114,1.26121,1.21025,1.15842,1.10592,1.05296,0.999789,0.946659,0.893843,0.841623,0.790283,0.7401,0.691337,0.644234,0.598992,0.555777,0.514707,0.475849,0.439226,0.404811,0.372549,0.342355,0.314138},
{1.01107,1.01177,1.0125,1.01328,1.01409,1.01495,1.01585,1.0168,1.0178,1.01886,1.01997,1.02115,1.02239,1.0237,1.02508,1.02653,1.02807,1.02969,1.0314,1.0332,1.0351,1.03711,1.03923,1.04147,1.04383,1.04632,1.04895,1.05172,1.05465,1.05773,1.06099,1.06442,1.06804,1.07185,1.07588,1.08012,1.08458,1.08929,1.09425,1.09947,1.10496,1.11074,1.11683,1.12322,1.12995,1.13702,1.14444,1.15223,1.16041,1.16898,1.17797,1.18738,1.19724,1.20755,1.21833,1.22959,1.24134,1.2536,1.26637,1.27967,1.2935,1.30787,1.32279,1.33825,1.35427,1.37085,1.38798,1.40565,1.42387,1.44263,1.4619,1.48169,1.50198,1.52274,1.54396,1.5656,1.58765,1.61007,1.63283,1.6559,1.67922,1.70277,1.72649,1.75034,1.77428,1.79824,1.82219,1.84605,1.86979,1.89334,1.91664,1.93965,1.9623,1.98454,2.00632,2.02758,2.04828,2.06837,2.0878,2.10654,2.12455,2.14179,2.15824,2.17388,2.18868,2.20263,2.21572,2.22794,2.2393,2.24979,2.25944,2.26824,2.27621,2.28338,2.28975,2.29537,2.30025,2.30441,2.30789,2.31071,2.31291,2.3145,2.31552,2.31599,2.31593,2.31537,2.31432,2.3128,2.31083,2.30842,2.30558,2.3023,2.29861,2.2945,2.28996,2.285,2.27959,2.27375,2.26745,2.26067,2.2534,2.24562,2.23731,2.22844,2.21898,2.20891,2.19819,2.18678,2.17467,2.16179,2.14813,2.13362,2.11824,2.10194,2.08466,2.06637,2.04701,2.02654,2.00489,1.98203,1.9579,1.93246,1.90564,1.87741,1.84773,1.81654,1.78381,1.74951,1.71361,1.6761,1.63696,1.5962,1.55383,1.50987,1.46439,1.41743,1.36908,1.31944,1.26864,1.21684,1.1642,1.11092,1.05724,1.00339,0.94964,0.896264,0.843547,0.791776,0.741226,0.692157,0.644807,0.599371,0.556007,0.514825,0.475882,0.439192,0.404725,0.372418,0.342184,0.31393}
};
}
}