const int conedetect_vpy = 224;
const float conedetect_turn_slope = 7.500000;
const int conedetect_y_offset = -97;
const int conedetect_width= 4;

const float conedetect_LUT[21760] = {
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.492521,
  -1.487994,
  -1.483463,
  -1.478929,
  -1.474390,
  -1.469848,
  -1.465303,
  -1.460753,
  -1.456200,
  -1.451643,
  -1.447083,
  -1.442518,
  -1.437950,
  -1.433379,
  -1.428803,
  -1.424224,
  -1.419641,
  -1.415055,
  -1.410465,
  -1.405871,
  -1.401273,
  -1.396672,
  -1.392067,
  -1.387459,
  -1.382847,
  -1.378231,
  -1.373611,
  -1.368988,
  -1.364361,
  -1.359731,
  -1.355097,
  -1.350459,
  -1.345818,
  -1.341173,
  -1.336524,
  -1.331872,
  -1.327216,
  -1.322556,
  -1.317893,
  -1.313226,
  -1.308556,
  -1.303882,
  -1.299204,
  -1.294523,
  -1.289839,
  -1.285150,
  -1.280458,
  -1.275763,
  -1.271064,
  -1.266361,
  -1.261655,
  -1.256945,
  -1.252232,
  -1.247515,
  -1.242795,
  -1.238071,
  -1.233344,
  -1.228613,
  -1.223878,
  -1.219140,
  -1.214399,
  -1.209654,
  -1.204905,
  -1.200153,
  -1.195398,
  -1.190639,
  -1.185877,
  -1.181111,
  -1.176342,
  -1.171569,
  -1.166793,
  -1.162013,
  -1.157230,
  -1.152443,
  -1.147653,
  -1.142860,
  -1.138063,
  -1.133263,
  -1.128460,
  -1.123653,
  -1.118843,
  -1.114029,
  -1.109212,
  -1.104392,
  -1.099568,
  -1.094741,
  -1.089910,
  -1.085077,
  -1.080240,
  -1.075399,
  -1.070556,
  -1.065709,
  -1.060858,
  -1.056005,
  -1.051148,
  -1.046288,
  -1.041425,
  -1.036559,
  -1.031689,
  -1.026816,
  -1.021940,
  -1.017060,
  -1.012178,
  -1.007292,
  -1.002403,
  -0.997511,
  -0.992615,
  -0.987717,
  -0.982815,
  -0.977911,
  -0.973003,
  -0.968092,
  -0.963178,
  -0.958261,
  -0.953340,
  -0.948417,
  -0.943491,
  -0.938561,
  -0.933629,
  -0.928693,
  -0.923755,
  -0.918813,
  -0.913869,
  -0.908921,
  -0.903970,
  -0.899017,
  -0.894060,
  -0.889101,
  -0.884139,
  -0.879173,
  -0.874205,
  -0.869234,
  -0.864260,
  -0.859283,
  -0.854303,
  -0.849321,
  -0.844335,
  -0.839347,
  -0.834356,
  -0.829362,
  -0.824365,
  -0.819366,
  -0.814363,
  -0.809358,
  -0.804350,
  -0.799340,
  -0.794327,
  -0.789311,
  -0.784292,
  -0.779271,
  -0.774247,
  -0.769220,
  -0.764191,
  -0.759159,
  -0.754124,
  -0.749087,
  -0.744047,
  -0.739004,
  -0.733959,
  -0.728912,
  -0.723862,
  -0.718809,
  -0.713754,
  -0.708697,
  -0.703636,
  -0.698574,
  -0.693509,
  -0.688441,
  -0.683371,
  -0.678299,
  -0.673224,
  -0.668147,
  -0.663068,
  -0.657986,
  -0.652902,
  -0.647815,
  -0.642727,
  -0.637635,
  -0.632542,
  -0.627446,
  -0.622348,
  -0.617248,
  -0.612146,
  -0.607041,
  -0.601935,
  -0.596826,
  -0.591715,
  -0.586601,
  -0.581486,
  -0.576368,
  -0.571249,
  -0.566127,
  -0.561003,
  -0.555878,
  -0.550750,
  -0.545620,
  -0.540488,
  -0.535354,
  -0.530219,
  -0.525081,
  -0.519941,
  -0.514800,
  -0.509656,
  -0.504511,
  -0.499364,
  -0.494215,
  -0.489064,
  -0.483911,
  -0.478757,
  -0.473600,
  -0.468442,
  -0.463282,
  -0.458121,
  -0.452958,
  -0.447793,
  -0.442626,
  -0.437458,
  -0.432288,
  -0.427117,
  -0.421943,
  -0.416769,
  -0.411592,
  -0.406415,
  -0.401235,
  -0.396054,
  -0.390872,
  -0.385688,
  -0.380503,
  -0.375316,
  -0.370128,
  -0.364939,
  -0.359748,
  -0.354555,
  -0.349362,
  -0.344167,
  -0.338970,
  -0.333773,
  -0.328574,
  -0.323374,
  -0.318173,
  -0.312970,
  -0.307766,
  -0.302561,
  -0.297355,
  -0.292148,
  -0.286940,
  -0.281730,
  -0.276520,
  -0.271308,
  -0.266095,
  -0.260882,
  -0.255667,
  -0.250452,
  -0.245235,
  -0.240017,
  -0.234799,
  -0.229580,
  -0.224359,
  -0.219138,
  -0.213916,
  -0.208693,
  -0.203470,
  -0.198245,
  -0.193020,
  -0.187794,
  -0.182568,
  -0.177340,
  -0.172112,
  -0.166883,
  -0.161654,
  -0.156424,
  -0.151194,
  -0.145962,
  -0.140731,
  -0.135498,
  -0.130265,
  -0.125032,
  -0.119798,
  -0.114564,
  -0.109329,
  -0.104094,
  -0.098859,
  -0.093623,
  -0.088386,
  -0.083150,
  -0.077913,
  -0.072675,
  -0.067438,
  -0.062200,
  -0.056962,
  -0.051724,
  -0.046485,
  -0.041246,
  -0.036008,
  -0.030769,
  -0.025530,
  -0.020290,
  -0.015051,
  -0.009812,
  -0.004572,
  0.000667,
  0.005906,
  0.011146,
  0.016385,
  0.021624,
  0.026864,
  0.032103,
  0.037342,
  0.042580,
  0.047819,
  0.053057,
  0.058296,
  0.063534,
  0.068771,
  0.074009,
  0.079246,
  0.084483,
  0.089720,
  0.094956,
  0.100192,
  0.105427,
  0.110662,
  0.115897,
  0.121131,
  0.126365,
  0.131598,
  0.136831,
  0.142063,
  0.147294,
  0.152525,
  0.157756,
  0.162986,
  0.168215,
  0.173443,
  0.178671,
  0.183898,
  0.189125,
  0.194351,
  0.199576,
  0.204800,
  0.210023,
  0.215246,
  0.220468,
  0.225688,
  0.230909,
  0.236128,
  0.241346,
  0.246563,
  0.251780,
  0.256995,
  0.262209,
  0.267423,
  0.272635,
  0.277846,
  0.283057,
  0.288266,
  0.293474,
  0.298681,
  0.303887,
  0.309091,
  0.314295,
  0.319497,
  0.324698,
  0.329898,
  0.335096,
  0.340294,
  0.345490,
  0.350684,
  0.355878,
  0.361069,
  0.366260,
  0.371449,
  0.376637,
  0.381823,
  0.387008,
  0.392192,
  0.397374,
  0.402554,
  0.407733,
  0.412911,
  0.418086,
  0.423261,
  0.428433,
  0.433605,
  0.438774,
  0.443942,
  0.449108,
  0.454272,
  0.459435,
  0.464596,
  0.469756,
  0.474913,
  0.480069,
  0.485223,
  0.490375,
  0.495526,
  0.500674,
  0.505821,
  0.510966,
  0.516109,
  0.521250,
  0.526389,
  0.531526,
  0.536662,
  0.541795,
  0.546926,
  0.552056,
  0.557183,
  0.562308,
  0.567431,
  0.572553,
  0.577672,
  0.582788,
  0.587903,
  0.593016,
  0.598127,
  0.603235,
  0.608341,
  0.613445,
  0.618547,
  0.623647,
  0.628744,
  0.633839,
  0.638932,
  0.644022,
  0.649111,
  0.654197,
  0.659280,
  0.664361,
  0.669440,
  0.674517,
  0.679591,
  0.684663,
  0.689732,
  0.694799,
  0.699863,
  0.704925,
  0.709985,
  0.715042,
  0.720096,
  0.725148,
  0.730197,
  0.735244,
  0.740289,
  0.745330,
  0.750369,
  0.755406,
  0.760440,
  0.765471,
  0.770500,
  0.775526,
  0.780549,
  0.785570,
  0.790588,
  0.795603,
  0.800616,
  0.805626,
  0.810633,
  0.815637,
  0.820639,
  0.825638,
  0.830634,
  0.835627,
  0.840617,
  0.845605,
  0.850590,
  0.855572,
  0.860551,
  0.865527,
  0.870500,
  0.875470,
  0.880438,
  0.885402,
  0.890364,
  0.895323,
  0.900278,
  0.905231,
  0.910181,
  0.915128,
  0.920072,
  0.925012,
  0.929950,
  0.934885,
  0.939817,
  0.944745,
  0.949671,
  0.954593,
  0.959513,
  0.964429,
  0.969343,
  0.974253,
  0.979160,
  0.984064,
  0.988965,
  0.993862,
  0.998757,
  1.003648,
  1.008536,
  1.013421,
  1.018303,
  1.023181,
  1.028057,
  1.032929,
  1.037798,
  1.042664,
  1.047526,
  1.052385,
  1.057241,
  1.062094,
  1.066943,
  1.071789,
  1.076632,
  1.081472,
  1.086308,
  1.091141,
  1.095970,
  1.100796,
  1.105619,
  1.110439,
  1.115255,
  1.120068,
  1.124877,
  1.129683,
  1.134486,
  1.139285,
  1.144081,
  1.148873,
  1.153662,
  1.158448,
  1.163230,
  1.168009,
  1.172784,
  1.177556,
  1.182325,
  1.187090,
  1.191851,
  1.196609,
  1.201364,
  1.206115,
  1.210862,
  1.215606,
  1.220347,
  1.225084,
  1.229818,
  1.234548,
  1.239274,
  1.243997,
  1.248717,
  1.253433,
  1.258145,
  1.262854,
  1.267559,
  1.272261,
  1.276959,
  1.281653,
  1.286344,
  1.291032,
  1.295716,
  1.300396,
  1.305072,
  1.309746,
  1.314415,
  1.319081,
  1.323743,
  1.328402,
  1.333057,
  1.337708,
  1.342356,
  1.347000,
  1.351640,
  1.356277,
  1.360910,
  1.365540,
  1.370166,
  1.374788,
  1.379407,
  1.384021,
  1.388633,
  1.393240,
  1.397844,
  1.402444,
  1.407041,
  1.411634,
  1.416223,
  1.420809,
  1.425390,
  1.429969,
  1.434543,
  1.439114,
  1.443681,
  1.448244,
  1.452804,
  1.457360,
  1.461912,
  1.466460,
  1.471005,
  1.475546,
  1.480084,
  1.484617,
  1.489147,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.492112,
  -1.487585,
  -1.483054,
  -1.478519,
  -1.473980,
  -1.469438,
  -1.464892,
  -1.460343,
  -1.455789,
  -1.451232,
  -1.446672,
  -1.442107,
  -1.437539,
  -1.432967,
  -1.428392,
  -1.423813,
  -1.419230,
  -1.414643,
  -1.410053,
  -1.405459,
  -1.400862,
  -1.396260,
  -1.391656,
  -1.387047,
  -1.382435,
  -1.377819,
  -1.373200,
  -1.368576,
  -1.363950,
  -1.359319,
  -1.354685,
  -1.350047,
  -1.345406,
  -1.340761,
  -1.336113,
  -1.331460,
  -1.326805,
  -1.322145,
  -1.317482,
  -1.312816,
  -1.308145,
  -1.303472,
  -1.298794,
  -1.294113,
  -1.289429,
  -1.284741,
  -1.280049,
  -1.275354,
  -1.270655,
  -1.265952,
  -1.261247,
  -1.256537,
  -1.251824,
  -1.247108,
  -1.242388,
  -1.237664,
  -1.232937,
  -1.228206,
  -1.223472,
  -1.218735,
  -1.213993,
  -1.209249,
  -1.204501,
  -1.199749,
  -1.194994,
  -1.190236,
  -1.185474,
  -1.180708,
  -1.175939,
  -1.171167,
  -1.166391,
  -1.161612,
  -1.156830,
  -1.152044,
  -1.147254,
  -1.142461,
  -1.137665,
  -1.132866,
  -1.128063,
  -1.123256,
  -1.118447,
  -1.113634,
  -1.108817,
  -1.103997,
  -1.099174,
  -1.094348,
  -1.089518,
  -1.084685,
  -1.079849,
  -1.075009,
  -1.070166,
  -1.065320,
  -1.060471,
  -1.055618,
  -1.050762,
  -1.045903,
  -1.041040,
  -1.036174,
  -1.031306,
  -1.026433,
  -1.021558,
  -1.016679,
  -1.011798,
  -1.006913,
  -1.002025,
  -0.997133,
  -0.992239,
  -0.987342,
  -0.982441,
  -0.977537,
  -0.972630,
  -0.967720,
  -0.962807,
  -0.957891,
  -0.952972,
  -0.948049,
  -0.943124,
  -0.938196,
  -0.933264,
  -0.928330,
  -0.923392,
  -0.918452,
  -0.913508,
  -0.908562,
  -0.903612,
  -0.898660,
  -0.893705,
  -0.888746,
  -0.883785,
  -0.878821,
  -0.873854,
  -0.868884,
  -0.863911,
  -0.858936,
  -0.853957,
  -0.848976,
  -0.843992,
  -0.839005,
  -0.834015,
  -0.829022,
  -0.824027,
  -0.819029,
  -0.814028,
  -0.809024,
  -0.804018,
  -0.799008,
  -0.793997,
  -0.788982,
  -0.783965,
  -0.778945,
  -0.773922,
  -0.768897,
  -0.763869,
  -0.758839,
  -0.753805,
  -0.748770,
  -0.743731,
  -0.738690,
  -0.733647,
  -0.728601,
  -0.723553,
  -0.718502,
  -0.713448,
  -0.708392,
  -0.703334,
  -0.698273,
  -0.693209,
  -0.688143,
  -0.683075,
  -0.678005,
  -0.672931,
  -0.667856,
  -0.662778,
  -0.657698,
  -0.652616,
  -0.647531,
  -0.642444,
  -0.637355,
  -0.632263,
  -0.627169,
  -0.622073,
  -0.616975,
  -0.611874,
  -0.606771,
  -0.601666,
  -0.596559,
  -0.591450,
  -0.586339,
  -0.581225,
  -0.576110,
  -0.570992,
  -0.565872,
  -0.560750,
  -0.555627,
  -0.550501,
  -0.545373,
  -0.540243,
  -0.535111,
  -0.529977,
  -0.524842,
  -0.519704,
  -0.514565,
  -0.509423,
  -0.504280,
  -0.499135,
  -0.493988,
  -0.488839,
  -0.483688,
  -0.478536,
  -0.473382,
  -0.468226,
  -0.463068,
  -0.457909,
  -0.452748,
  -0.447585,
  -0.442420,
  -0.437254,
  -0.432087,
  -0.426917,
  -0.421746,
  -0.416574,
  -0.411400,
  -0.406224,
  -0.401047,
  -0.395868,
  -0.390688,
  -0.385507,
  -0.380324,
  -0.375139,
  -0.369953,
  -0.364766,
  -0.359577,
  -0.354387,
  -0.349196,
  -0.344003,
  -0.338809,
  -0.333614,
  -0.328418,
  -0.323220,
  -0.318021,
  -0.312821,
  -0.307619,
  -0.302417,
  -0.297213,
  -0.292008,
  -0.286802,
  -0.281595,
  -0.276387,
  -0.271178,
  -0.265968,
  -0.260756,
  -0.255544,
  -0.250331,
  -0.245117,
  -0.239902,
  -0.234686,
  -0.229469,
  -0.224251,
  -0.219032,
  -0.213813,
  -0.208592,
  -0.203371,
  -0.198149,
  -0.192927,
  -0.187703,
  -0.182479,
  -0.177254,
  -0.172029,
  -0.166802,
  -0.161576,
  -0.156348,
  -0.151120,
  -0.145891,
  -0.140662,
  -0.135432,
  -0.130202,
  -0.124971,
  -0.119740,
  -0.114508,
  -0.109276,
  -0.104043,
  -0.098810,
  -0.093577,
  -0.088343,
  -0.083109,
  -0.077875,
  -0.072640,
  -0.067405,
  -0.062170,
  -0.056934,
  -0.051698,
  -0.046462,
  -0.041226,
  -0.035990,
  -0.030754,
  -0.025517,
  -0.020280,
  -0.015044,
  -0.009807,
  -0.004570,
  0.000667,
  0.005904,
  0.011140,
  0.016377,
  0.021614,
  0.026850,
  0.032087,
  0.037323,
  0.042560,
  0.047796,
  0.053031,
  0.058267,
  0.063503,
  0.068738,
  0.073973,
  0.079207,
  0.084442,
  0.089676,
  0.094909,
  0.100143,
  0.105376,
  0.110608,
  0.115840,
  0.121072,
  0.126303,
  0.131534,
  0.136764,
  0.141994,
  0.147223,
  0.152451,
  0.157679,
  0.162906,
  0.168133,
  0.173359,
  0.178585,
  0.183809,
  0.189033,
  0.194256,
  0.199479,
  0.204701,
  0.209922,
  0.215142,
  0.220361,
  0.225580,
  0.230797,
  0.236014,
  0.241230,
  0.246445,
  0.251658,
  0.256871,
  0.262083,
  0.267294,
  0.272504,
  0.277713,
  0.282921,
  0.288128,
  0.293334,
  0.298538,
  0.303742,
  0.308944,
  0.314145,
  0.319345,
  0.324544,
  0.329741,
  0.334937,
  0.340132,
  0.345326,
  0.350518,
  0.355709,
  0.360899,
  0.366087,
  0.371274,
  0.376459,
  0.381644,
  0.386826,
  0.392007,
  0.397187,
  0.402365,
  0.407542,
  0.412717,
  0.417891,
  0.423063,
  0.428234,
  0.433403,
  0.438570,
  0.443735,
  0.448900,
  0.454062,
  0.459222,
  0.464381,
  0.469539,
  0.474694,
  0.479848,
  0.485000,
  0.490150,
  0.495298,
  0.500445,
  0.505590,
  0.510732,
  0.515873,
  0.521012,
  0.526150,
  0.531285,
  0.536418,
  0.541549,
  0.546679,
  0.551806,
  0.556931,
  0.562055,
  0.567176,
  0.572295,
  0.577412,
  0.582527,
  0.587640,
  0.592751,
  0.597860,
  0.602966,
  0.608071,
  0.613173,
  0.618273,
  0.623371,
  0.628466,
  0.633560,
  0.638651,
  0.643739,
  0.648826,
  0.653910,
  0.658992,
  0.664071,
  0.669149,
  0.674223,
  0.679296,
  0.684366,
  0.689433,
  0.694499,
  0.699561,
  0.704622,
  0.709680,
  0.714735,
  0.719788,
  0.724838,
  0.729886,
  0.734931,
  0.739974,
  0.745014,
  0.750052,
  0.755087,
  0.760120,
  0.765149,
  0.770177,
  0.775201,
  0.780223,
  0.785242,
  0.790259,
  0.795273,
  0.800284,
  0.805293,
  0.810298,
  0.815301,
  0.820302,
  0.825299,
  0.830294,
  0.835286,
  0.840275,
  0.845261,
  0.850245,
  0.855225,
  0.860203,
  0.865178,
  0.870150,
  0.875119,
  0.880085,
  0.885049,
  0.890009,
  0.894967,
  0.899921,
  0.904873,
  0.909822,
  0.914767,
  0.919710,
  0.924650,
  0.929586,
  0.934520,
  0.939451,
  0.944378,
  0.949303,
  0.954224,
  0.959143,
  0.964058,
  0.968971,
  0.973880,
  0.978786,
  0.983689,
  0.988589,
  0.993486,
  0.998379,
  1.003270,
  1.008157,
  1.013041,
  1.017922,
  1.022800,
  1.027674,
  1.032546,
  1.037414,
  1.042279,
  1.047140,
  1.051999,
  1.056854,
  1.061706,
  1.066554,
  1.071400,
  1.076242,
  1.081081,
  1.085916,
  1.090748,
  1.095577,
  1.100403,
  1.105225,
  1.110044,
  1.114859,
  1.119672,
  1.124480,
  1.129286,
  1.134088,
  1.138887,
  1.143682,
  1.148474,
  1.153262,
  1.158048,
  1.162829,
  1.167608,
  1.172382,
  1.177154,
  1.181922,
  1.186686,
  1.191447,
  1.196205,
  1.200959,
  1.205710,
  1.210457,
  1.215201,
  1.219941,
  1.224678,
  1.229411,
  1.234141,
  1.238867,
  1.243590,
  1.248309,
  1.253024,
  1.257736,
  1.262445,
  1.267150,
  1.271852,
  1.276549,
  1.281244,
  1.285935,
  1.290622,
  1.295305,
  1.299985,
  1.304662,
  1.309335,
  1.314004,
  1.318670,
  1.323332,
  1.327990,
  1.332645,
  1.337296,
  1.341944,
  1.346588,
  1.351229,
  1.355865,
  1.360499,
  1.365128,
  1.369754,
  1.374376,
  1.378995,
  1.383610,
  1.388221,
  1.392828,
  1.397432,
  1.402033,
  1.406629,
  1.411222,
  1.415811,
  1.420397,
  1.424979,
  1.429557,
  1.434132,
  1.438703,
  1.443270,
  1.447833,
  1.452393,
  1.456949,
  1.461501,
  1.466050,
  1.470595,
  1.475136,
  1.479674,
  1.484208,
  1.488738,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491760,
  -1.487233,
  -1.482702,
  -1.478167,
  -1.473628,
  -1.469086,
  -1.464540,
  -1.459990,
  -1.455436,
  -1.450879,
  -1.446319,
  -1.441754,
  -1.437186,
  -1.432614,
  -1.428038,
  -1.423459,
  -1.418876,
  -1.414290,
  -1.409699,
  -1.405106,
  -1.400508,
  -1.395907,
  -1.391302,
  -1.386693,
  -1.382081,
  -1.377465,
  -1.372846,
  -1.368223,
  -1.363596,
  -1.358966,
  -1.354331,
  -1.349694,
  -1.345053,
  -1.340408,
  -1.335759,
  -1.331107,
  -1.326451,
  -1.321792,
  -1.317129,
  -1.312463,
  -1.307793,
  -1.303119,
  -1.298442,
  -1.293761,
  -1.289077,
  -1.284389,
  -1.279697,
  -1.275002,
  -1.270303,
  -1.265601,
  -1.260896,
  -1.256186,
  -1.251474,
  -1.246757,
  -1.242038,
  -1.237314,
  -1.232587,
  -1.227857,
  -1.223123,
  -1.218386,
  -1.213645,
  -1.208901,
  -1.204153,
  -1.199402,
  -1.194647,
  -1.189889,
  -1.185127,
  -1.180362,
  -1.175594,
  -1.170822,
  -1.166047,
  -1.161268,
  -1.156486,
  -1.151700,
  -1.146911,
  -1.142119,
  -1.137323,
  -1.132524,
  -1.127722,
  -1.122916,
  -1.118107,
  -1.113294,
  -1.108478,
  -1.103659,
  -1.098837,
  -1.094011,
  -1.089182,
  -1.084349,
  -1.079513,
  -1.074674,
  -1.069832,
  -1.064986,
  -1.060138,
  -1.055285,
  -1.050430,
  -1.045572,
  -1.040710,
  -1.035845,
  -1.030976,
  -1.026105,
  -1.021230,
  -1.016353,
  -1.011472,
  -1.006587,
  -1.001700,
  -0.996810,
  -0.991916,
  -0.987019,
  -0.982119,
  -0.977216,
  -0.972310,
  -0.967401,
  -0.962489,
  -0.957573,
  -0.952655,
  -0.947734,
  -0.942809,
  -0.937882,
  -0.932951,
  -0.928018,
  -0.923081,
  -0.918141,
  -0.913199,
  -0.908253,
  -0.903305,
  -0.898354,
  -0.893399,
  -0.888442,
  -0.883482,
  -0.878519,
  -0.873553,
  -0.868584,
  -0.863612,
  -0.858638,
  -0.853660,
  -0.848680,
  -0.843697,
  -0.838711,
  -0.833722,
  -0.828731,
  -0.823736,
  -0.818739,
  -0.813740,
  -0.808737,
  -0.803732,
  -0.798724,
  -0.793713,
  -0.788700,
  -0.783684,
  -0.778665,
  -0.773644,
  -0.768620,
  -0.763593,
  -0.758564,
  -0.753532,
  -0.748498,
  -0.743461,
  -0.738421,
  -0.733379,
  -0.728334,
  -0.723287,
  -0.718237,
  -0.713185,
  -0.708131,
  -0.703074,
  -0.698014,
  -0.692952,
  -0.687888,
  -0.682821,
  -0.677752,
  -0.672680,
  -0.667606,
  -0.662530,
  -0.657451,
  -0.652370,
  -0.647287,
  -0.642201,
  -0.637114,
  -0.632023,
  -0.626931,
  -0.621837,
  -0.616740,
  -0.611641,
  -0.606540,
  -0.601436,
  -0.596331,
  -0.591223,
  -0.586113,
  -0.581001,
  -0.575888,
  -0.570771,
  -0.565653,
  -0.560533,
  -0.555411,
  -0.550287,
  -0.545161,
  -0.540033,
  -0.534902,
  -0.529770,
  -0.524636,
  -0.519500,
  -0.514363,
  -0.509223,
  -0.504081,
  -0.498938,
  -0.493793,
  -0.488646,
  -0.483497,
  -0.478346,
  -0.473194,
  -0.468040,
  -0.462884,
  -0.457726,
  -0.452567,
  -0.447406,
  -0.442244,
  -0.437079,
  -0.431914,
  -0.426746,
  -0.421577,
  -0.416407,
  -0.411234,
  -0.406061,
  -0.400885,
  -0.395709,
  -0.390531,
  -0.385351,
  -0.380170,
  -0.374987,
  -0.369803,
  -0.364618,
  -0.359431,
  -0.354243,
  -0.349054,
  -0.343863,
  -0.338671,
  -0.333478,
  -0.328284,
  -0.323088,
  -0.317891,
  -0.312693,
  -0.307493,
  -0.302293,
  -0.297091,
  -0.291888,
  -0.286684,
  -0.281479,
  -0.276273,
  -0.271066,
  -0.265858,
  -0.260649,
  -0.255439,
  -0.250228,
  -0.245016,
  -0.239802,
  -0.234589,
  -0.229374,
  -0.224158,
  -0.218941,
  -0.213724,
  -0.208506,
  -0.203287,
  -0.198067,
  -0.192846,
  -0.187625,
  -0.182403,
  -0.177180,
  -0.171957,
  -0.166733,
  -0.161508,
  -0.156283,
  -0.151057,
  -0.145830,
  -0.140603,
  -0.135376,
  -0.130148,
  -0.124919,
  -0.119690,
  -0.114460,
  -0.109230,
  -0.104000,
  -0.098769,
  -0.093538,
  -0.088306,
  -0.083074,
  -0.077842,
  -0.072609,
  -0.067377,
  -0.062144,
  -0.056910,
  -0.051677,
  -0.046443,
  -0.041209,
  -0.035975,
  -0.030741,
  -0.025506,
  -0.020272,
  -0.015037,
  -0.009803,
  -0.004568,
  0.000666,
  0.005901,
  0.011136,
  0.016370,
  0.021605,
  0.026839,
  0.032073,
  0.037308,
  0.042542,
  0.047776,
  0.053009,
  0.058243,
  0.063476,
  0.068709,
  0.073942,
  0.079174,
  0.084406,
  0.089638,
  0.094870,
  0.100101,
  0.105332,
  0.110562,
  0.115792,
  0.121021,
  0.126250,
  0.131479,
  0.136707,
  0.141934,
  0.147161,
  0.152388,
  0.157613,
  0.162839,
  0.168063,
  0.173287,
  0.178510,
  0.183733,
  0.188955,
  0.194176,
  0.199396,
  0.204616,
  0.209835,
  0.215053,
  0.220270,
  0.225486,
  0.230702,
  0.235916,
  0.241130,
  0.246343,
  0.251555,
  0.256765,
  0.261975,
  0.267184,
  0.272392,
  0.277599,
  0.282805,
  0.288009,
  0.293213,
  0.298416,
  0.303617,
  0.308817,
  0.314016,
  0.319214,
  0.324411,
  0.329606,
  0.334801,
  0.339993,
  0.345185,
  0.350375,
  0.355565,
  0.360752,
  0.365939,
  0.371123,
  0.376307,
  0.381489,
  0.386670,
  0.391849,
  0.397027,
  0.402203,
  0.407378,
  0.412551,
  0.417723,
  0.422893,
  0.428062,
  0.433229,
  0.438395,
  0.443558,
  0.448721,
  0.453881,
  0.459040,
  0.464197,
  0.469352,
  0.474506,
  0.479658,
  0.484808,
  0.489957,
  0.495103,
  0.500248,
  0.505391,
  0.510532,
  0.515671,
  0.520808,
  0.525944,
  0.531077,
  0.536209,
  0.541338,
  0.546466,
  0.551592,
  0.556715,
  0.561837,
  0.566957,
  0.572074,
  0.577190,
  0.582303,
  0.587415,
  0.592524,
  0.597631,
  0.602736,
  0.607839,
  0.612939,
  0.618038,
  0.623134,
  0.628228,
  0.633320,
  0.638409,
  0.643496,
  0.648581,
  0.653664,
  0.658744,
  0.663822,
  0.668898,
  0.673972,
  0.679043,
  0.684111,
  0.689177,
  0.694241,
  0.699302,
  0.704361,
  0.709418,
  0.714472,
  0.719523,
  0.724572,
  0.729619,
  0.734663,
  0.739704,
  0.744743,
  0.749780,
  0.754813,
  0.759845,
  0.764873,
  0.769899,
  0.774922,
  0.779943,
  0.784961,
  0.789977,
  0.794989,
  0.799999,
  0.805006,
  0.810011,
  0.815013,
  0.820012,
  0.825008,
  0.830002,
  0.834993,
  0.839981,
  0.844966,
  0.849948,
  0.854928,
  0.859904,
  0.864878,
  0.869849,
  0.874817,
  0.879783,
  0.884745,
  0.889704,
  0.894661,
  0.899615,
  0.904565,
  0.909513,
  0.914458,
  0.919399,
  0.924338,
  0.929274,
  0.934207,
  0.939137,
  0.944063,
  0.948987,
  0.953908,
  0.958825,
  0.963740,
  0.968651,
  0.973560,
  0.978465,
  0.983367,
  0.988266,
  0.993162,
  0.998055,
  1.002945,
  1.007831,
  1.012715,
  1.017595,
  1.022472,
  1.027346,
  1.032216,
  1.037084,
  1.041948,
  1.046809,
  1.051667,
  1.056521,
  1.061373,
  1.066221,
  1.071065,
  1.075907,
  1.080745,
  1.085580,
  1.090411,
  1.095240,
  1.100065,
  1.104886,
  1.109705,
  1.114520,
  1.119331,
  1.124140,
  1.128945,
  1.133747,
  1.138545,
  1.143340,
  1.148131,
  1.152919,
  1.157704,
  1.162485,
  1.167263,
  1.172037,
  1.176808,
  1.181576,
  1.186340,
  1.191101,
  1.195858,
  1.200612,
  1.205362,
  1.210109,
  1.214853,
  1.219592,
  1.224329,
  1.229062,
  1.233791,
  1.238517,
  1.243240,
  1.247959,
  1.252674,
  1.257386,
  1.262094,
  1.266799,
  1.271500,
  1.276198,
  1.280892,
  1.285583,
  1.290270,
  1.294953,
  1.299633,
  1.304309,
  1.308982,
  1.313651,
  1.318317,
  1.322979,
  1.327637,
  1.332292,
  1.336943,
  1.341591,
  1.346235,
  1.350875,
  1.355512,
  1.360145,
  1.364774,
  1.369400,
  1.374022,
  1.378641,
  1.383256,
  1.387867,
  1.392475,
  1.397079,
  1.401679,
  1.406276,
  1.410869,
  1.415458,
  1.420043,
  1.424626,
  1.429204,
  1.433778,
  1.438349,
  1.442917,
  1.447480,
  1.452040,
  1.456596,
  1.461149,
  1.465698,
  1.470243,
  1.474784,
  1.479322,
  1.483856,
  1.488386,
  1.492913,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491466,
  -1.486939,
  -1.482407,
  -1.477872,
  -1.473334,
  -1.468791,
  -1.464245,
  -1.459695,
  -1.455142,
  -1.450584,
  -1.446023,
  -1.441459,
  -1.436891,
  -1.432319,
  -1.427743,
  -1.423164,
  -1.418581,
  -1.413994,
  -1.409404,
  -1.404810,
  -1.400212,
  -1.395611,
  -1.391006,
  -1.386398,
  -1.381785,
  -1.377170,
  -1.372550,
  -1.367927,
  -1.363300,
  -1.358670,
  -1.354036,
  -1.349398,
  -1.344757,
  -1.340112,
  -1.335464,
  -1.330812,
  -1.326156,
  -1.321497,
  -1.316834,
  -1.312168,
  -1.307498,
  -1.302824,
  -1.298147,
  -1.293467,
  -1.288782,
  -1.284094,
  -1.279403,
  -1.274708,
  -1.270010,
  -1.265308,
  -1.260602,
  -1.255893,
  -1.251181,
  -1.246465,
  -1.241745,
  -1.237022,
  -1.232295,
  -1.227565,
  -1.222832,
  -1.218095,
  -1.213354,
  -1.208610,
  -1.203863,
  -1.199112,
  -1.194357,
  -1.189600,
  -1.184838,
  -1.180073,
  -1.175305,
  -1.170534,
  -1.165759,
  -1.160980,
  -1.156199,
  -1.151413,
  -1.146625,
  -1.141833,
  -1.137038,
  -1.132239,
  -1.127437,
  -1.122631,
  -1.117823,
  -1.113011,
  -1.108195,
  -1.103376,
  -1.098554,
  -1.093729,
  -1.088900,
  -1.084068,
  -1.079233,
  -1.074394,
  -1.069553,
  -1.064708,
  -1.059859,
  -1.055008,
  -1.050153,
  -1.045295,
  -1.040434,
  -1.035569,
  -1.030701,
  -1.025831,
  -1.020957,
  -1.016079,
  -1.011199,
  -1.006315,
  -1.001429,
  -0.996539,
  -0.991646,
  -0.986750,
  -0.981851,
  -0.976948,
  -0.972043,
  -0.967134,
  -0.962223,
  -0.957308,
  -0.952391,
  -0.947470,
  -0.942546,
  -0.937619,
  -0.932690,
  -0.927757,
  -0.922821,
  -0.917882,
  -0.912940,
  -0.907996,
  -0.903048,
  -0.898098,
  -0.893144,
  -0.888188,
  -0.883228,
  -0.878266,
  -0.873301,
  -0.868333,
  -0.863362,
  -0.858388,
  -0.853412,
  -0.848433,
  -0.843450,
  -0.838465,
  -0.833478,
  -0.828487,
  -0.823494,
  -0.818498,
  -0.813499,
  -0.808497,
  -0.803493,
  -0.798486,
  -0.793476,
  -0.788464,
  -0.783449,
  -0.778431,
  -0.773411,
  -0.768388,
  -0.763362,
  -0.758334,
  -0.753304,
  -0.748270,
  -0.743234,
  -0.738196,
  -0.733155,
  -0.728111,
  -0.723065,
  -0.718017,
  -0.712966,
  -0.707912,
  -0.702856,
  -0.697798,
  -0.692737,
  -0.687674,
  -0.682608,
  -0.677540,
  -0.672470,
  -0.667397,
  -0.662322,
  -0.657245,
  -0.652165,
  -0.647083,
  -0.641999,
  -0.636912,
  -0.631823,
  -0.626732,
  -0.621639,
  -0.616543,
  -0.611446,
  -0.606346,
  -0.601244,
  -0.596140,
  -0.591033,
  -0.585925,
  -0.580815,
  -0.575702,
  -0.570587,
  -0.565471,
  -0.560352,
  -0.555231,
  -0.550108,
  -0.544984,
  -0.539857,
  -0.534728,
  -0.529597,
  -0.524465,
  -0.519330,
  -0.514194,
  -0.509056,
  -0.503916,
  -0.498774,
  -0.493630,
  -0.488485,
  -0.483337,
  -0.478188,
  -0.473037,
  -0.467885,
  -0.462730,
  -0.457574,
  -0.452417,
  -0.447257,
  -0.442096,
  -0.436933,
  -0.431769,
  -0.426603,
  -0.421436,
  -0.416267,
  -0.411096,
  -0.405924,
  -0.400751,
  -0.395575,
  -0.390399,
  -0.385221,
  -0.380041,
  -0.374860,
  -0.369678,
  -0.364494,
  -0.359309,
  -0.354123,
  -0.348935,
  -0.343746,
  -0.338556,
  -0.333364,
  -0.328172,
  -0.322977,
  -0.317782,
  -0.312586,
  -0.307388,
  -0.302189,
  -0.296989,
  -0.291788,
  -0.286586,
  -0.281383,
  -0.276178,
  -0.270973,
  -0.265766,
  -0.260559,
  -0.255351,
  -0.250141,
  -0.244931,
  -0.239720,
  -0.234507,
  -0.229294,
  -0.224080,
  -0.218866,
  -0.213650,
  -0.208433,
  -0.203216,
  -0.197998,
  -0.192779,
  -0.187560,
  -0.182340,
  -0.177119,
  -0.171897,
  -0.166675,
  -0.161452,
  -0.156228,
  -0.151004,
  -0.145780,
  -0.140554,
  -0.135328,
  -0.130102,
  -0.124875,
  -0.119648,
  -0.114420,
  -0.109192,
  -0.103963,
  -0.098734,
  -0.093505,
  -0.088275,
  -0.083045,
  -0.077815,
  -0.072584,
  -0.067353,
  -0.062122,
  -0.056890,
  -0.051659,
  -0.046427,
  -0.041195,
  -0.035962,
  -0.030730,
  -0.025497,
  -0.020265,
  -0.015032,
  -0.009799,
  -0.004567,
  0.000666,
  0.005899,
  0.011132,
  0.016364,
  0.021597,
  0.026830,
  0.032062,
  0.037295,
  0.042527,
  0.047759,
  0.052991,
  0.058222,
  0.063454,
  0.068685,
  0.073916,
  0.079147,
  0.084377,
  0.089607,
  0.094837,
  0.100066,
  0.105295,
  0.110523,
  0.115751,
  0.120979,
  0.126206,
  0.131433,
  0.136659,
  0.141885,
  0.147110,
  0.152334,
  0.157558,
  0.162782,
  0.168005,
  0.173227,
  0.178448,
  0.183669,
  0.188889,
  0.194108,
  0.199327,
  0.204545,
  0.209762,
  0.214978,
  0.220193,
  0.225408,
  0.230622,
  0.235835,
  0.241047,
  0.246258,
  0.251468,
  0.256677,
  0.261885,
  0.267092,
  0.272298,
  0.277503,
  0.282708,
  0.287911,
  0.293112,
  0.298313,
  0.303513,
  0.308712,
  0.313909,
  0.319105,
  0.324300,
  0.329494,
  0.334686,
  0.339878,
  0.345068,
  0.350256,
  0.355444,
  0.360630,
  0.365814,
  0.370998,
  0.376180,
  0.381360,
  0.386539,
  0.391717,
  0.396893,
  0.402068,
  0.407241,
  0.412413,
  0.417583,
  0.422752,
  0.427919,
  0.433084,
  0.438248,
  0.443410,
  0.448571,
  0.453730,
  0.458887,
  0.464043,
  0.469197,
  0.474349,
  0.479499,
  0.484648,
  0.489795,
  0.494940,
  0.500083,
  0.505225,
  0.510364,
  0.515502,
  0.520638,
  0.525772,
  0.530904,
  0.536034,
  0.541162,
  0.546288,
  0.551413,
  0.556535,
  0.561655,
  0.566774,
  0.571890,
  0.577004,
  0.582116,
  0.587226,
  0.592334,
  0.597440,
  0.602543,
  0.607645,
  0.612744,
  0.617841,
  0.622936,
  0.628029,
  0.633119,
  0.638207,
  0.643293,
  0.648377,
  0.653459,
  0.658538,
  0.663615,
  0.668689,
  0.673761,
  0.678831,
  0.683898,
  0.688963,
  0.694026,
  0.699086,
  0.704144,
  0.709199,
  0.714252,
  0.719302,
  0.724350,
  0.729396,
  0.734439,
  0.739479,
  0.744517,
  0.749552,
  0.754585,
  0.759615,
  0.764642,
  0.769667,
  0.774689,
  0.779709,
  0.784726,
  0.789740,
  0.794752,
  0.799761,
  0.804767,
  0.809771,
  0.814772,
  0.819770,
  0.824765,
  0.829758,
  0.834748,
  0.839735,
  0.844719,
  0.849701,
  0.854679,
  0.859655,
  0.864628,
  0.869598,
  0.874565,
  0.879530,
  0.884491,
  0.889450,
  0.894406,
  0.899358,
  0.904308,
  0.909255,
  0.914199,
  0.919140,
  0.924078,
  0.929013,
  0.933945,
  0.938874,
  0.943800,
  0.948723,
  0.953643,
  0.958560,
  0.963474,
  0.968384,
  0.973292,
  0.978197,
  0.983098,
  0.987997,
  0.992892,
  0.997784,
  1.002673,
  1.007559,
  1.012442,
  1.017321,
  1.022198,
  1.027071,
  1.031941,
  1.036808,
  1.041672,
  1.046532,
  1.051389,
  1.056243,
  1.061094,
  1.065941,
  1.070786,
  1.075627,
  1.080464,
  1.085299,
  1.090130,
  1.094958,
  1.099782,
  1.104604,
  1.109421,
  1.114236,
  1.119047,
  1.123855,
  1.128660,
  1.133461,
  1.138259,
  1.143053,
  1.147844,
  1.152632,
  1.157416,
  1.162197,
  1.166975,
  1.171749,
  1.176520,
  1.181287,
  1.186051,
  1.190811,
  1.195568,
  1.200322,
  1.205072,
  1.209818,
  1.214561,
  1.219301,
  1.224037,
  1.228770,
  1.233499,
  1.238225,
  1.242947,
  1.247666,
  1.252381,
  1.257093,
  1.261801,
  1.266505,
  1.271206,
  1.275904,
  1.280598,
  1.285288,
  1.289975,
  1.294659,
  1.299338,
  1.304015,
  1.308687,
  1.313356,
  1.318022,
  1.322684,
  1.327342,
  1.331997,
  1.336648,
  1.341295,
  1.345939,
  1.350580,
  1.355216,
  1.359849,
  1.364479,
  1.369105,
  1.373727,
  1.378345,
  1.382960,
  1.387571,
  1.392179,
  1.396783,
  1.401383,
  1.405980,
  1.410573,
  1.415162,
  1.419748,
  1.424330,
  1.428908,
  1.433483,
  1.438054,
  1.442621,
  1.447185,
  1.451745,
  1.456301,
  1.460854,
  1.465403,
  1.469948,
  1.474490,
  1.479027,
  1.483562,
  1.488092,
  1.492619,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491230,
  -1.486702,
  -1.482171,
  -1.477636,
  -1.473097,
  -1.468554,
  -1.464008,
  -1.459458,
  -1.454905,
  -1.450347,
  -1.445786,
  -1.441222,
  -1.436653,
  -1.432081,
  -1.427506,
  -1.422926,
  -1.418343,
  -1.413757,
  -1.409166,
  -1.404572,
  -1.399975,
  -1.395373,
  -1.390769,
  -1.386160,
  -1.381548,
  -1.376932,
  -1.372312,
  -1.367689,
  -1.363063,
  -1.358432,
  -1.353798,
  -1.349161,
  -1.344520,
  -1.339875,
  -1.335227,
  -1.330575,
  -1.325919,
  -1.321260,
  -1.316597,
  -1.311931,
  -1.307261,
  -1.302588,
  -1.297910,
  -1.293230,
  -1.288546,
  -1.283858,
  -1.279167,
  -1.274472,
  -1.269774,
  -1.265072,
  -1.260367,
  -1.255658,
  -1.250945,
  -1.246229,
  -1.241510,
  -1.236787,
  -1.232061,
  -1.227331,
  -1.222597,
  -1.217861,
  -1.213120,
  -1.208376,
  -1.203629,
  -1.198878,
  -1.194124,
  -1.189367,
  -1.184606,
  -1.179841,
  -1.175073,
  -1.170302,
  -1.165527,
  -1.160749,
  -1.155968,
  -1.151183,
  -1.146395,
  -1.141603,
  -1.136808,
  -1.132010,
  -1.127208,
  -1.122403,
  -1.117594,
  -1.112782,
  -1.107967,
  -1.103149,
  -1.098327,
  -1.093502,
  -1.088674,
  -1.083843,
  -1.079008,
  -1.074169,
  -1.069328,
  -1.064483,
  -1.059636,
  -1.054784,
  -1.049930,
  -1.045072,
  -1.040212,
  -1.035348,
  -1.030480,
  -1.025610,
  -1.020736,
  -1.015860,
  -1.010980,
  -1.006097,
  -1.001211,
  -0.996321,
  -0.991429,
  -0.986533,
  -0.981635,
  -0.976733,
  -0.971828,
  -0.966920,
  -0.962009,
  -0.957095,
  -0.952178,
  -0.947258,
  -0.942335,
  -0.937408,
  -0.932479,
  -0.927547,
  -0.922612,
  -0.917674,
  -0.912733,
  -0.907789,
  -0.902842,
  -0.897892,
  -0.892939,
  -0.887983,
  -0.883025,
  -0.878063,
  -0.873099,
  -0.868131,
  -0.863161,
  -0.858188,
  -0.853212,
  -0.848234,
  -0.843252,
  -0.838268,
  -0.833281,
  -0.828291,
  -0.823299,
  -0.818303,
  -0.813305,
  -0.808305,
  -0.803301,
  -0.798295,
  -0.793286,
  -0.788274,
  -0.783260,
  -0.778243,
  -0.773224,
  -0.768202,
  -0.763177,
  -0.758150,
  -0.753120,
  -0.748087,
  -0.743052,
  -0.738015,
  -0.732975,
  -0.727932,
  -0.722887,
  -0.717839,
  -0.712789,
  -0.707737,
  -0.702682,
  -0.697624,
  -0.692564,
  -0.687502,
  -0.682437,
  -0.677370,
  -0.672301,
  -0.667229,
  -0.662155,
  -0.657079,
  -0.652000,
  -0.646919,
  -0.641836,
  -0.636750,
  -0.631662,
  -0.626572,
  -0.621480,
  -0.616386,
  -0.611289,
  -0.606190,
  -0.601089,
  -0.595986,
  -0.590881,
  -0.585774,
  -0.580664,
  -0.575553,
  -0.570439,
  -0.565324,
  -0.560206,
  -0.555086,
  -0.549965,
  -0.544841,
  -0.539715,
  -0.534588,
  -0.529458,
  -0.524327,
  -0.519194,
  -0.514059,
  -0.508922,
  -0.503783,
  -0.498642,
  -0.493499,
  -0.488355,
  -0.483209,
  -0.478061,
  -0.472911,
  -0.467760,
  -0.462607,
  -0.457452,
  -0.452296,
  -0.447137,
  -0.441978,
  -0.436816,
  -0.431653,
  -0.426488,
  -0.421322,
  -0.416155,
  -0.410985,
  -0.405814,
  -0.400642,
  -0.395468,
  -0.390293,
  -0.385116,
  -0.379938,
  -0.374758,
  -0.369577,
  -0.364395,
  -0.359211,
  -0.354026,
  -0.348840,
  -0.343652,
  -0.338463,
  -0.333273,
  -0.328082,
  -0.322889,
  -0.317695,
  -0.312500,
  -0.307303,
  -0.302106,
  -0.296907,
  -0.291708,
  -0.286507,
  -0.281305,
  -0.276102,
  -0.270898,
  -0.265693,
  -0.260487,
  -0.255280,
  -0.250072,
  -0.244863,
  -0.239653,
  -0.234442,
  -0.229231,
  -0.224018,
  -0.218805,
  -0.213590,
  -0.208375,
  -0.203159,
  -0.197943,
  -0.192726,
  -0.187507,
  -0.182289,
  -0.177069,
  -0.171849,
  -0.166628,
  -0.161407,
  -0.156185,
  -0.150962,
  -0.145739,
  -0.140515,
  -0.135290,
  -0.130066,
  -0.124840,
  -0.119614,
  -0.114388,
  -0.109161,
  -0.103934,
  -0.098707,
  -0.093479,
  -0.088250,
  -0.083022,
  -0.077793,
  -0.072564,
  -0.067334,
  -0.062104,
  -0.056874,
  -0.051644,
  -0.046414,
  -0.041183,
  -0.035952,
  -0.030721,
  -0.025490,
  -0.020259,
  -0.015028,
  -0.009797,
  -0.004565,
  0.000666,
  0.005897,
  0.011129,
  0.016360,
  0.021591,
  0.026822,
  0.032053,
  0.037284,
  0.042515,
  0.047745,
  0.052976,
  0.058206,
  0.063436,
  0.068666,
  0.073895,
  0.079124,
  0.084353,
  0.089582,
  0.094810,
  0.100038,
  0.105265,
  0.110492,
  0.115719,
  0.120945,
  0.126171,
  0.131396,
  0.136621,
  0.141845,
  0.147069,
  0.152292,
  0.157514,
  0.162736,
  0.167957,
  0.173178,
  0.178398,
  0.183617,
  0.188836,
  0.194054,
  0.199271,
  0.204488,
  0.209703,
  0.214918,
  0.220132,
  0.225345,
  0.230558,
  0.235769,
  0.240980,
  0.246189,
  0.251398,
  0.256606,
  0.261812,
  0.267018,
  0.272223,
  0.277427,
  0.282629,
  0.287831,
  0.293032,
  0.298231,
  0.303429,
  0.308627,
  0.313823,
  0.319017,
  0.324211,
  0.329403,
  0.334595,
  0.339785,
  0.344973,
  0.350161,
  0.355347,
  0.360531,
  0.365715,
  0.370897,
  0.376077,
  0.381257,
  0.386434,
  0.391611,
  0.396786,
  0.401959,
  0.407131,
  0.412302,
  0.417470,
  0.422638,
  0.427804,
  0.432968,
  0.438130,
  0.443291,
  0.448451,
  0.453609,
  0.458765,
  0.463919,
  0.469072,
  0.474223,
  0.479372,
  0.484519,
  0.489665,
  0.494809,
  0.499951,
  0.505091,
  0.510230,
  0.515366,
  0.520501,
  0.525634,
  0.530765,
  0.535894,
  0.541021,
  0.546146,
  0.551269,
  0.556390,
  0.561509,
  0.566626,
  0.571741,
  0.576854,
  0.581965,
  0.587074,
  0.592181,
  0.597286,
  0.602388,
  0.607489,
  0.612587,
  0.617683,
  0.622777,
  0.627869,
  0.632958,
  0.638045,
  0.643130,
  0.648213,
  0.653293,
  0.658372,
  0.663447,
  0.668521,
  0.673592,
  0.678661,
  0.683727,
  0.688791,
  0.693853,
  0.698912,
  0.703969,
  0.709023,
  0.714075,
  0.719125,
  0.724172,
  0.729216,
  0.734258,
  0.739298,
  0.744335,
  0.749369,
  0.754401,
  0.759430,
  0.764457,
  0.769481,
  0.774502,
  0.779521,
  0.784537,
  0.789551,
  0.794562,
  0.799570,
  0.804575,
  0.809578,
  0.814578,
  0.819575,
  0.824570,
  0.829562,
  0.834551,
  0.839537,
  0.844521,
  0.849502,
  0.854480,
  0.859455,
  0.864427,
  0.869396,
  0.874363,
  0.879327,
  0.884287,
  0.889245,
  0.894200,
  0.899152,
  0.904102,
  0.909048,
  0.913991,
  0.918931,
  0.923869,
  0.928803,
  0.933735,
  0.938663,
  0.943588,
  0.948511,
  0.953430,
  0.958346,
  0.963260,
  0.968170,
  0.973077,
  0.977981,
  0.982882,
  0.987780,
  0.992675,
  0.997566,
  1.002455,
  1.007340,
  1.012223,
  1.017102,
  1.021978,
  1.026850,
  1.031720,
  1.036586,
  1.041450,
  1.046309,
  1.051166,
  1.056020,
  1.060870,
  1.065717,
  1.070561,
  1.075402,
  1.080239,
  1.085073,
  1.089904,
  1.094731,
  1.099555,
  1.104376,
  1.109194,
  1.114008,
  1.118819,
  1.123626,
  1.128431,
  1.133232,
  1.138029,
  1.142823,
  1.147614,
  1.152401,
  1.157185,
  1.161966,
  1.166743,
  1.171517,
  1.176288,
  1.181055,
  1.185818,
  1.190578,
  1.195335,
  1.200088,
  1.204838,
  1.209585,
  1.214327,
  1.219067,
  1.223803,
  1.228535,
  1.233264,
  1.237990,
  1.242712,
  1.247430,
  1.252146,
  1.256857,
  1.261565,
  1.266269,
  1.270970,
  1.275668,
  1.280362,
  1.285052,
  1.289739,
  1.294422,
  1.299102,
  1.303778,
  1.308450,
  1.313119,
  1.317785,
  1.322446,
  1.327105,
  1.331759,
  1.336410,
  1.341058,
  1.345702,
  1.350342,
  1.354979,
  1.359612,
  1.364241,
  1.368867,
  1.373489,
  1.378108,
  1.382722,
  1.387334,
  1.391941,
  1.396545,
  1.401146,
  1.405742,
  1.410335,
  1.414925,
  1.419510,
  1.424093,
  1.428671,
  1.433246,
  1.437817,
  1.442384,
  1.446948,
  1.451508,
  1.456064,
  1.460617,
  1.465166,
  1.469711,
  1.474253,
  1.478791,
  1.483325,
  1.487856,
  1.492382,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491052,
  -1.486524,
  -1.481992,
  -1.477457,
  -1.472918,
  -1.468375,
  -1.463829,
  -1.459279,
  -1.454725,
  -1.450168,
  -1.445607,
  -1.441042,
  -1.436474,
  -1.431902,
  -1.427326,
  -1.422747,
  -1.418164,
  -1.413577,
  -1.408987,
  -1.404393,
  -1.399795,
  -1.395194,
  -1.390589,
  -1.385980,
  -1.381368,
  -1.376752,
  -1.372133,
  -1.367510,
  -1.362883,
  -1.358253,
  -1.353619,
  -1.348981,
  -1.344340,
  -1.339695,
  -1.335047,
  -1.330395,
  -1.325740,
  -1.321081,
  -1.316418,
  -1.311752,
  -1.307082,
  -1.302408,
  -1.297732,
  -1.293051,
  -1.288367,
  -1.283679,
  -1.278988,
  -1.274294,
  -1.269595,
  -1.264894,
  -1.260188,
  -1.255480,
  -1.250767,
  -1.246052,
  -1.241332,
  -1.236609,
  -1.231883,
  -1.227154,
  -1.222420,
  -1.217684,
  -1.212943,
  -1.208200,
  -1.203453,
  -1.198702,
  -1.193948,
  -1.189191,
  -1.184430,
  -1.179666,
  -1.174898,
  -1.170127,
  -1.165352,
  -1.160574,
  -1.155793,
  -1.151008,
  -1.146220,
  -1.141429,
  -1.136634,
  -1.131836,
  -1.127035,
  -1.122230,
  -1.117422,
  -1.112610,
  -1.107795,
  -1.102977,
  -1.098156,
  -1.093331,
  -1.088503,
  -1.083672,
  -1.078837,
  -1.073999,
  -1.069158,
  -1.064314,
  -1.059466,
  -1.054616,
  -1.049762,
  -1.044904,
  -1.040044,
  -1.035180,
  -1.030313,
  -1.025443,
  -1.020570,
  -1.015694,
  -1.010814,
  -1.005931,
  -1.001046,
  -0.996157,
  -0.991265,
  -0.986370,
  -0.981471,
  -0.976570,
  -0.971666,
  -0.966758,
  -0.961847,
  -0.956934,
  -0.952017,
  -0.947098,
  -0.942175,
  -0.937249,
  -0.932320,
  -0.927389,
  -0.922454,
  -0.917516,
  -0.912576,
  -0.907632,
  -0.902686,
  -0.897736,
  -0.892784,
  -0.887829,
  -0.882870,
  -0.877909,
  -0.872946,
  -0.867979,
  -0.863009,
  -0.858037,
  -0.853062,
  -0.848083,
  -0.843103,
  -0.838119,
  -0.833132,
  -0.828143,
  -0.823151,
  -0.818156,
  -0.813159,
  -0.808159,
  -0.803156,
  -0.798150,
  -0.793142,
  -0.788131,
  -0.783118,
  -0.778101,
  -0.773083,
  -0.768061,
  -0.763037,
  -0.758010,
  -0.752981,
  -0.747949,
  -0.742915,
  -0.737878,
  -0.732839,
  -0.727797,
  -0.722752,
  -0.717705,
  -0.712656,
  -0.707604,
  -0.702550,
  -0.697493,
  -0.692434,
  -0.687372,
  -0.682308,
  -0.677242,
  -0.672173,
  -0.667102,
  -0.662029,
  -0.656953,
  -0.651875,
  -0.646795,
  -0.641713,
  -0.636628,
  -0.631541,
  -0.626452,
  -0.621360,
  -0.616267,
  -0.611171,
  -0.606073,
  -0.600973,
  -0.595870,
  -0.590766,
  -0.585659,
  -0.580551,
  -0.575440,
  -0.570327,
  -0.565213,
  -0.560096,
  -0.554977,
  -0.549856,
  -0.544733,
  -0.539609,
  -0.534482,
  -0.529353,
  -0.524223,
  -0.519090,
  -0.513956,
  -0.508820,
  -0.503682,
  -0.498542,
  -0.493401,
  -0.488257,
  -0.483112,
  -0.477965,
  -0.472816,
  -0.467666,
  -0.462513,
  -0.457360,
  -0.452204,
  -0.447047,
  -0.441888,
  -0.436727,
  -0.431565,
  -0.426402,
  -0.421236,
  -0.416070,
  -0.410901,
  -0.405731,
  -0.400560,
  -0.395387,
  -0.390213,
  -0.385037,
  -0.379860,
  -0.374681,
  -0.369501,
  -0.364320,
  -0.359137,
  -0.353953,
  -0.348768,
  -0.343581,
  -0.338393,
  -0.333204,
  -0.328013,
  -0.322822,
  -0.317629,
  -0.312435,
  -0.307239,
  -0.302043,
  -0.296845,
  -0.291647,
  -0.286447,
  -0.281246,
  -0.276044,
  -0.270841,
  -0.265637,
  -0.260432,
  -0.255226,
  -0.250019,
  -0.244811,
  -0.239603,
  -0.234393,
  -0.229182,
  -0.223971,
  -0.218758,
  -0.213545,
  -0.208331,
  -0.203117,
  -0.197901,
  -0.192685,
  -0.187468,
  -0.182250,
  -0.177032,
  -0.171813,
  -0.166593,
  -0.161372,
  -0.156151,
  -0.150930,
  -0.145708,
  -0.140485,
  -0.135262,
  -0.130038,
  -0.124814,
  -0.119589,
  -0.114364,
  -0.109138,
  -0.103912,
  -0.098686,
  -0.093459,
  -0.088232,
  -0.083004,
  -0.077776,
  -0.072548,
  -0.067320,
  -0.062091,
  -0.056862,
  -0.051633,
  -0.046404,
  -0.041174,
  -0.035945,
  -0.030715,
  -0.025485,
  -0.020255,
  -0.015025,
  -0.009795,
  -0.004564,
  0.000666,
  0.005896,
  0.011126,
  0.016356,
  0.021586,
  0.026816,
  0.032046,
  0.037276,
  0.042506,
  0.047735,
  0.052964,
  0.058194,
  0.063422,
  0.068651,
  0.073879,
  0.079107,
  0.084335,
  0.089563,
  0.094790,
  0.100016,
  0.105243,
  0.110469,
  0.115694,
  0.120919,
  0.126144,
  0.131368,
  0.136592,
  0.141815,
  0.147037,
  0.152259,
  0.157481,
  0.162702,
  0.167922,
  0.173142,
  0.178360,
  0.183579,
  0.188796,
  0.194013,
  0.199229,
  0.204444,
  0.209659,
  0.214873,
  0.220086,
  0.225298,
  0.230509,
  0.235719,
  0.240929,
  0.246138,
  0.251345,
  0.256552,
  0.261758,
  0.266962,
  0.272166,
  0.277369,
  0.282570,
  0.287771,
  0.292971,
  0.298169,
  0.303366,
  0.308562,
  0.313757,
  0.318951,
  0.324144,
  0.329335,
  0.334525,
  0.339714,
  0.344902,
  0.350088,
  0.355273,
  0.360457,
  0.365639,
  0.370820,
  0.376000,
  0.381178,
  0.386355,
  0.391531,
  0.396704,
  0.401877,
  0.407048,
  0.412217,
  0.417385,
  0.422552,
  0.427717,
  0.432880,
  0.438042,
  0.443202,
  0.448360,
  0.453517,
  0.458672,
  0.463825,
  0.468977,
  0.474127,
  0.479276,
  0.484422,
  0.489567,
  0.494710,
  0.499851,
  0.504990,
  0.510128,
  0.515264,
  0.520397,
  0.525529,
  0.530659,
  0.535788,
  0.540914,
  0.546038,
  0.551160,
  0.556281,
  0.561399,
  0.566515,
  0.571629,
  0.576742,
  0.581852,
  0.586960,
  0.592066,
  0.597170,
  0.602271,
  0.607371,
  0.612468,
  0.617564,
  0.622657,
  0.627748,
  0.632836,
  0.637923,
  0.643007,
  0.648089,
  0.653169,
  0.658246,
  0.663321,
  0.668394,
  0.673464,
  0.678532,
  0.683598,
  0.688661,
  0.693722,
  0.698781,
  0.703837,
  0.708891,
  0.713942,
  0.718991,
  0.724037,
  0.729081,
  0.734122,
  0.739161,
  0.744197,
  0.749231,
  0.754262,
  0.759291,
  0.764316,
  0.769340,
  0.774361,
  0.779379,
  0.784394,
  0.789407,
  0.794418,
  0.799425,
  0.804430,
  0.809432,
  0.814432,
  0.819429,
  0.824422,
  0.829414,
  0.834402,
  0.839388,
  0.844371,
  0.849351,
  0.854329,
  0.859303,
  0.864275,
  0.869244,
  0.874210,
  0.879173,
  0.884133,
  0.889091,
  0.894045,
  0.898997,
  0.903945,
  0.908891,
  0.913834,
  0.918774,
  0.923711,
  0.928645,
  0.933576,
  0.938504,
  0.943429,
  0.948350,
  0.953269,
  0.958185,
  0.963098,
  0.968008,
  0.972915,
  0.977818,
  0.982719,
  0.987616,
  0.992511,
  0.997402,
  1.002290,
  1.007175,
  1.012057,
  1.016936,
  1.021811,
  1.026684,
  1.031553,
  1.036419,
  1.041282,
  1.046141,
  1.050998,
  1.055851,
  1.060701,
  1.065548,
  1.070391,
  1.075232,
  1.080068,
  1.084902,
  1.089733,
  1.094560,
  1.099384,
  1.104204,
  1.109022,
  1.113836,
  1.118646,
  1.123453,
  1.128258,
  1.133058,
  1.137855,
  1.142649,
  1.147440,
  1.152227,
  1.157011,
  1.161791,
  1.166568,
  1.171342,
  1.176112,
  1.180879,
  1.185642,
  1.190402,
  1.195159,
  1.199912,
  1.204662,
  1.209408,
  1.214151,
  1.218890,
  1.223626,
  1.228358,
  1.233087,
  1.237812,
  1.242534,
  1.247253,
  1.251967,
  1.256679,
  1.261387,
  1.266091,
  1.270792,
  1.275489,
  1.280183,
  1.284873,
  1.289560,
  1.294243,
  1.298923,
  1.303599,
  1.308271,
  1.312940,
  1.317605,
  1.322267,
  1.326925,
  1.331580,
  1.336231,
  1.340878,
  1.345522,
  1.350162,
  1.354799,
  1.359432,
  1.364061,
  1.368687,
  1.373309,
  1.377928,
  1.382543,
  1.387154,
  1.391762,
  1.396366,
  1.400966,
  1.405563,
  1.410156,
  1.414745,
  1.419331,
  1.423913,
  1.428491,
  1.433066,
  1.437637,
  1.442205,
  1.446769,
  1.451329,
  1.455885,
  1.460438,
  1.464987,
  1.469532,
  1.474074,
  1.478612,
  1.483146,
  1.487677,
  1.492204,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.490930,
  -1.486403,
  -1.481871,
  -1.477336,
  -1.472797,
  -1.468254,
  -1.463708,
  -1.459158,
  -1.454604,
  -1.450047,
  -1.445485,
  -1.440921,
  -1.436352,
  -1.431780,
  -1.427204,
  -1.422625,
  -1.418042,
  -1.413455,
  -1.408865,
  -1.404271,
  -1.399673,
  -1.395072,
  -1.390467,
  -1.385859,
  -1.381246,
  -1.376630,
  -1.372011,
  -1.367388,
  -1.362761,
  -1.358131,
  -1.353497,
  -1.348860,
  -1.344218,
  -1.339574,
  -1.334925,
  -1.330274,
  -1.325618,
  -1.320959,
  -1.316296,
  -1.311630,
  -1.306960,
  -1.302287,
  -1.297610,
  -1.292930,
  -1.288246,
  -1.283558,
  -1.278867,
  -1.274173,
  -1.269475,
  -1.264773,
  -1.260068,
  -1.255359,
  -1.250647,
  -1.245931,
  -1.241212,
  -1.236489,
  -1.231763,
  -1.227033,
  -1.222300,
  -1.217564,
  -1.212824,
  -1.208080,
  -1.203333,
  -1.198583,
  -1.193829,
  -1.189072,
  -1.184311,
  -1.179547,
  -1.174779,
  -1.170008,
  -1.165234,
  -1.160456,
  -1.155675,
  -1.150890,
  -1.146103,
  -1.141311,
  -1.136517,
  -1.131719,
  -1.126917,
  -1.122113,
  -1.117305,
  -1.112493,
  -1.107679,
  -1.102861,
  -1.098040,
  -1.093215,
  -1.088387,
  -1.083556,
  -1.078722,
  -1.073884,
  -1.069043,
  -1.064199,
  -1.059352,
  -1.054501,
  -1.049647,
  -1.044790,
  -1.039930,
  -1.035067,
  -1.030200,
  -1.025330,
  -1.020457,
  -1.015581,
  -1.010702,
  -1.005820,
  -1.000934,
  -0.996045,
  -0.991154,
  -0.986259,
  -0.981361,
  -0.976460,
  -0.971556,
  -0.966648,
  -0.961738,
  -0.956825,
  -0.951908,
  -0.946989,
  -0.942067,
  -0.937141,
  -0.932213,
  -0.927281,
  -0.922347,
  -0.917410,
  -0.912469,
  -0.907526,
  -0.902580,
  -0.897631,
  -0.892679,
  -0.887724,
  -0.882766,
  -0.877806,
  -0.872842,
  -0.867876,
  -0.862906,
  -0.857934,
  -0.852959,
  -0.847982,
  -0.843001,
  -0.838018,
  -0.833032,
  -0.828043,
  -0.823051,
  -0.818057,
  -0.813060,
  -0.808060,
  -0.803058,
  -0.798053,
  -0.793045,
  -0.788034,
  -0.783021,
  -0.778005,
  -0.772987,
  -0.767966,
  -0.762942,
  -0.757916,
  -0.752887,
  -0.747856,
  -0.742822,
  -0.737785,
  -0.732746,
  -0.727705,
  -0.722661,
  -0.717615,
  -0.712566,
  -0.707514,
  -0.702460,
  -0.697404,
  -0.692345,
  -0.687284,
  -0.682221,
  -0.677155,
  -0.672087,
  -0.667017,
  -0.661944,
  -0.656869,
  -0.651791,
  -0.646711,
  -0.641629,
  -0.636545,
  -0.631459,
  -0.626370,
  -0.621279,
  -0.616186,
  -0.611091,
  -0.605993,
  -0.600893,
  -0.595792,
  -0.590688,
  -0.585582,
  -0.580474,
  -0.575364,
  -0.570252,
  -0.565137,
  -0.560021,
  -0.554903,
  -0.549783,
  -0.544661,
  -0.539536,
  -0.534410,
  -0.529282,
  -0.524152,
  -0.519021,
  -0.513887,
  -0.508751,
  -0.503614,
  -0.498475,
  -0.493334,
  -0.488191,
  -0.483046,
  -0.477900,
  -0.472752,
  -0.467602,
  -0.462450,
  -0.457297,
  -0.452142,
  -0.446985,
  -0.441827,
  -0.436667,
  -0.431506,
  -0.426343,
  -0.421178,
  -0.416012,
  -0.410845,
  -0.405675,
  -0.400505,
  -0.395332,
  -0.390159,
  -0.384984,
  -0.379807,
  -0.374629,
  -0.369450,
  -0.364269,
  -0.359087,
  -0.353904,
  -0.348719,
  -0.343533,
  -0.338346,
  -0.333157,
  -0.327967,
  -0.322776,
  -0.317584,
  -0.312391,
  -0.307196,
  -0.302000,
  -0.296804,
  -0.291606,
  -0.286406,
  -0.281206,
  -0.276005,
  -0.270803,
  -0.265600,
  -0.260395,
  -0.255190,
  -0.249984,
  -0.244777,
  -0.239569,
  -0.234360,
  -0.229150,
  -0.223939,
  -0.218727,
  -0.213515,
  -0.208302,
  -0.203088,
  -0.197873,
  -0.192657,
  -0.187441,
  -0.182224,
  -0.177006,
  -0.171788,
  -0.166569,
  -0.161349,
  -0.156129,
  -0.150908,
  -0.145687,
  -0.140465,
  -0.135242,
  -0.130019,
  -0.124796,
  -0.119572,
  -0.114347,
  -0.109122,
  -0.103897,
  -0.098671,
  -0.093445,
  -0.088219,
  -0.082992,
  -0.077765,
  -0.072538,
  -0.067310,
  -0.062082,
  -0.056854,
  -0.051626,
  -0.046397,
  -0.041168,
  -0.035939,
  -0.030710,
  -0.025481,
  -0.020252,
  -0.015023,
  -0.009793,
  -0.004564,
  0.000666,
  0.005895,
  0.011125,
  0.016354,
  0.021583,
  0.026813,
  0.032042,
  0.037271,
  0.042500,
  0.047728,
  0.052957,
  0.058185,
  0.063413,
  0.068641,
  0.073869,
  0.079096,
  0.084323,
  0.089550,
  0.094776,
  0.100002,
  0.105228,
  0.110453,
  0.115678,
  0.120902,
  0.126126,
  0.131349,
  0.136572,
  0.141794,
  0.147016,
  0.152238,
  0.157458,
  0.162678,
  0.167898,
  0.173117,
  0.178335,
  0.183552,
  0.188769,
  0.193985,
  0.199201,
  0.204415,
  0.209629,
  0.214842,
  0.220054,
  0.225266,
  0.230476,
  0.235686,
  0.240895,
  0.246102,
  0.251309,
  0.256515,
  0.261720,
  0.266924,
  0.272127,
  0.277329,
  0.282530,
  0.287730,
  0.292929,
  0.298127,
  0.303323,
  0.308519,
  0.313713,
  0.318906,
  0.324098,
  0.329289,
  0.334478,
  0.339667,
  0.344854,
  0.350039,
  0.355224,
  0.360407,
  0.365588,
  0.370769,
  0.375948,
  0.381125,
  0.386301,
  0.391476,
  0.396649,
  0.401821,
  0.406992,
  0.412160,
  0.417328,
  0.422493,
  0.427658,
  0.432820,
  0.437981,
  0.443141,
  0.448299,
  0.453455,
  0.458609,
  0.463762,
  0.468913,
  0.474063,
  0.479210,
  0.484356,
  0.489500,
  0.494643,
  0.499783,
  0.504922,
  0.510059,
  0.515194,
  0.520327,
  0.525459,
  0.530588,
  0.535716,
  0.540841,
  0.545965,
  0.551087,
  0.556206,
  0.561324,
  0.566440,
  0.571553,
  0.576665,
  0.581775,
  0.586882,
  0.591988,
  0.597091,
  0.602192,
  0.607291,
  0.612388,
  0.617483,
  0.622575,
  0.627666,
  0.632754,
  0.637840,
  0.642924,
  0.648005,
  0.653084,
  0.658161,
  0.663235,
  0.668308,
  0.673378,
  0.678445,
  0.683510,
  0.688573,
  0.693634,
  0.698692,
  0.703747,
  0.708801,
  0.713851,
  0.718900,
  0.723945,
  0.728989,
  0.734030,
  0.739068,
  0.744104,
  0.749137,
  0.754168,
  0.759196,
  0.764221,
  0.769244,
  0.774265,
  0.779283,
  0.784298,
  0.789310,
  0.794320,
  0.799327,
  0.804332,
  0.809334,
  0.814333,
  0.819329,
  0.824323,
  0.829313,
  0.834302,
  0.839287,
  0.844270,
  0.849249,
  0.854226,
  0.859200,
  0.864172,
  0.869140,
  0.874106,
  0.879069,
  0.884029,
  0.888986,
  0.893940,
  0.898891,
  0.903840,
  0.908785,
  0.913728,
  0.918667,
  0.923604,
  0.928537,
  0.933468,
  0.938396,
  0.943320,
  0.948242,
  0.953160,
  0.958076,
  0.962989,
  0.967898,
  0.972804,
  0.977708,
  0.982608,
  0.987505,
  0.992399,
  0.997290,
  1.002178,
  1.007063,
  1.011945,
  1.016823,
  1.021698,
  1.026571,
  1.031440,
  1.036305,
  1.041168,
  1.046027,
  1.050884,
  1.055737,
  1.060586,
  1.065433,
  1.070276,
  1.075116,
  1.079953,
  1.084787,
  1.089617,
  1.094444,
  1.099267,
  1.104088,
  1.108905,
  1.113719,
  1.118529,
  1.123336,
  1.128140,
  1.132941,
  1.137738,
  1.142532,
  1.147322,
  1.152109,
  1.156893,
  1.161673,
  1.166450,
  1.171223,
  1.175993,
  1.180760,
  1.185523,
  1.190283,
  1.195040,
  1.199793,
  1.204542,
  1.209288,
  1.214031,
  1.218770,
  1.223506,
  1.228238,
  1.232967,
  1.237692,
  1.242414,
  1.247132,
  1.251847,
  1.256558,
  1.261266,
  1.265970,
  1.270671,
  1.275368,
  1.280062,
  1.284752,
  1.289439,
  1.294122,
  1.298801,
  1.303477,
  1.308150,
  1.312819,
  1.317484,
  1.322146,
  1.326804,
  1.331458,
  1.336109,
  1.340757,
  1.345400,
  1.350041,
  1.354677,
  1.359310,
  1.363940,
  1.368565,
  1.373188,
  1.377806,
  1.382421,
  1.387032,
  1.391640,
  1.396244,
  1.400844,
  1.405441,
  1.410034,
  1.414623,
  1.419209,
  1.423791,
  1.428370,
  1.432945,
  1.437516,
  1.442083,
  1.446647,
  1.451207,
  1.455764,
  1.460316,
  1.464866,
  1.469411,
  1.473953,
  1.478491,
  1.483025,
  1.487556,
  1.492083,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.490867,
  -1.486339,
  -1.481807,
  -1.477272,
  -1.472733,
  -1.468190,
  -1.463644,
  -1.459094,
  -1.454540,
  -1.449983,
  -1.445422,
  -1.440857,
  -1.436289,
  -1.431716,
  -1.427141,
  -1.422561,
  -1.417978,
  -1.413391,
  -1.408801,
  -1.404207,
  -1.399609,
  -1.395008,
  -1.390403,
  -1.385795,
  -1.381182,
  -1.376567,
  -1.371947,
  -1.367324,
  -1.362697,
  -1.358067,
  -1.353433,
  -1.348796,
  -1.344155,
  -1.339510,
  -1.334862,
  -1.330210,
  -1.325554,
  -1.320895,
  -1.316233,
  -1.311567,
  -1.306897,
  -1.302224,
  -1.297547,
  -1.292866,
  -1.288182,
  -1.283495,
  -1.278804,
  -1.274109,
  -1.269411,
  -1.264709,
  -1.260004,
  -1.255296,
  -1.250584,
  -1.245868,
  -1.241149,
  -1.236426,
  -1.231700,
  -1.226970,
  -1.222237,
  -1.217501,
  -1.212761,
  -1.208017,
  -1.203270,
  -1.198520,
  -1.193766,
  -1.189009,
  -1.184248,
  -1.179484,
  -1.174717,
  -1.169946,
  -1.165172,
  -1.160394,
  -1.155613,
  -1.150829,
  -1.146041,
  -1.141250,
  -1.136455,
  -1.131657,
  -1.126856,
  -1.122051,
  -1.117243,
  -1.112432,
  -1.107618,
  -1.102800,
  -1.097979,
  -1.093154,
  -1.088327,
  -1.083496,
  -1.078661,
  -1.073824,
  -1.068983,
  -1.064139,
  -1.059292,
  -1.054441,
  -1.049588,
  -1.044731,
  -1.039871,
  -1.035007,
  -1.030141,
  -1.025271,
  -1.020398,
  -1.015522,
  -1.010643,
  -1.005761,
  -1.000876,
  -0.995987,
  -0.991095,
  -0.986201,
  -0.981303,
  -0.976402,
  -0.971498,
  -0.966591,
  -0.961681,
  -0.956767,
  -0.951851,
  -0.946932,
  -0.942010,
  -0.937085,
  -0.932156,
  -0.927225,
  -0.922291,
  -0.917354,
  -0.912414,
  -0.907471,
  -0.902525,
  -0.897576,
  -0.892624,
  -0.887669,
  -0.882712,
  -0.877751,
  -0.872788,
  -0.867821,
  -0.862852,
  -0.857880,
  -0.852906,
  -0.847928,
  -0.842948,
  -0.837965,
  -0.832979,
  -0.827990,
  -0.822999,
  -0.818005,
  -0.813008,
  -0.808008,
  -0.803006,
  -0.798001,
  -0.792994,
  -0.787983,
  -0.782970,
  -0.777955,
  -0.772937,
  -0.767916,
  -0.762892,
  -0.757867,
  -0.752838,
  -0.747807,
  -0.742773,
  -0.737737,
  -0.732698,
  -0.727657,
  -0.722613,
  -0.717567,
  -0.712518,
  -0.707467,
  -0.702414,
  -0.697358,
  -0.692299,
  -0.687238,
  -0.682175,
  -0.677110,
  -0.672042,
  -0.666972,
  -0.661899,
  -0.656824,
  -0.651747,
  -0.646667,
  -0.641586,
  -0.636502,
  -0.631415,
  -0.626327,
  -0.621236,
  -0.616144,
  -0.611049,
  -0.605951,
  -0.600852,
  -0.595751,
  -0.590647,
  -0.585541,
  -0.580434,
  -0.575324,
  -0.570212,
  -0.565098,
  -0.559982,
  -0.554864,
  -0.549744,
  -0.544622,
  -0.539499,
  -0.534373,
  -0.529245,
  -0.524115,
  -0.518984,
  -0.513850,
  -0.508715,
  -0.503578,
  -0.498439,
  -0.493298,
  -0.488156,
  -0.483012,
  -0.477866,
  -0.472718,
  -0.467568,
  -0.462417,
  -0.457264,
  -0.452110,
  -0.446953,
  -0.441795,
  -0.436636,
  -0.431475,
  -0.426312,
  -0.421148,
  -0.415982,
  -0.410815,
  -0.405646,
  -0.400476,
  -0.395304,
  -0.390130,
  -0.384956,
  -0.379779,
  -0.374602,
  -0.369423,
  -0.364243,
  -0.359061,
  -0.353878,
  -0.348693,
  -0.343508,
  -0.338321,
  -0.333133,
  -0.327943,
  -0.322753,
  -0.317561,
  -0.312368,
  -0.307173,
  -0.301978,
  -0.296782,
  -0.291584,
  -0.286385,
  -0.281185,
  -0.275985,
  -0.270783,
  -0.265580,
  -0.260376,
  -0.255171,
  -0.249965,
  -0.244758,
  -0.239551,
  -0.234342,
  -0.229133,
  -0.223922,
  -0.218711,
  -0.213499,
  -0.208286,
  -0.203072,
  -0.197858,
  -0.192643,
  -0.187427,
  -0.182210,
  -0.176993,
  -0.171775,
  -0.166556,
  -0.161337,
  -0.156117,
  -0.150897,
  -0.145676,
  -0.140454,
  -0.135232,
  -0.130010,
  -0.124786,
  -0.119563,
  -0.114339,
  -0.109114,
  -0.103889,
  -0.098664,
  -0.093438,
  -0.088212,
  -0.082986,
  -0.077759,
  -0.072532,
  -0.067305,
  -0.062077,
  -0.056850,
  -0.051622,
  -0.046393,
  -0.041165,
  -0.035937,
  -0.030708,
  -0.025479,
  -0.020250,
  -0.015021,
  -0.009792,
  -0.004563,
  0.000666,
  0.005895,
  0.011124,
  0.016353,
  0.021582,
  0.026811,
  0.032039,
  0.037268,
  0.042496,
  0.047725,
  0.052953,
  0.058181,
  0.063408,
  0.068636,
  0.073863,
  0.079090,
  0.084317,
  0.089543,
  0.094769,
  0.099994,
  0.105220,
  0.110444,
  0.115669,
  0.120893,
  0.126116,
  0.131339,
  0.136562,
  0.141784,
  0.147005,
  0.152226,
  0.157446,
  0.162666,
  0.167885,
  0.173104,
  0.178321,
  0.183539,
  0.188755,
  0.193971,
  0.199186,
  0.204400,
  0.209613,
  0.214826,
  0.220038,
  0.225249,
  0.230459,
  0.235668,
  0.240877,
  0.246084,
  0.251291,
  0.256496,
  0.261701,
  0.266905,
  0.272107,
  0.277309,
  0.282509,
  0.287709,
  0.292907,
  0.298105,
  0.303301,
  0.308496,
  0.313690,
  0.318883,
  0.324074,
  0.329265,
  0.334454,
  0.339642,
  0.344828,
  0.350014,
  0.355198,
  0.360380,
  0.365562,
  0.370742,
  0.375920,
  0.381097,
  0.386273,
  0.391448,
  0.396621,
  0.401792,
  0.406962,
  0.412131,
  0.417298,
  0.422463,
  0.427627,
  0.432789,
  0.437950,
  0.443109,
  0.448266,
  0.453422,
  0.458576,
  0.463729,
  0.468880,
  0.474029,
  0.479176,
  0.484322,
  0.489466,
  0.494608,
  0.499748,
  0.504886,
  0.510023,
  0.515158,
  0.520291,
  0.525422,
  0.530551,
  0.535678,
  0.540803,
  0.545927,
  0.551048,
  0.556167,
  0.561285,
  0.566400,
  0.571514,
  0.576625,
  0.581734,
  0.586842,
  0.591947,
  0.597050,
  0.602151,
  0.607249,
  0.612346,
  0.617440,
  0.622533,
  0.627623,
  0.632711,
  0.637796,
  0.642880,
  0.647961,
  0.653040,
  0.658116,
  0.663191,
  0.668263,
  0.673332,
  0.678400,
  0.683465,
  0.688527,
  0.693587,
  0.698645,
  0.703700,
  0.708753,
  0.713804,
  0.718852,
  0.723898,
  0.728941,
  0.733981,
  0.739019,
  0.744055,
  0.749088,
  0.754119,
  0.759146,
  0.764172,
  0.769194,
  0.774215,
  0.779232,
  0.784247,
  0.789259,
  0.794269,
  0.799276,
  0.804280,
  0.809282,
  0.814281,
  0.819277,
  0.824270,
  0.829261,
  0.834249,
  0.839234,
  0.844216,
  0.849196,
  0.854173,
  0.859147,
  0.864118,
  0.869086,
  0.874052,
  0.879014,
  0.883974,
  0.888931,
  0.893885,
  0.898836,
  0.903784,
  0.908729,
  0.913672,
  0.918611,
  0.923548,
  0.928481,
  0.933411,
  0.938339,
  0.943263,
  0.948185,
  0.953103,
  0.958019,
  0.962931,
  0.967840,
  0.972747,
  0.977650,
  0.982550,
  0.987447,
  0.992341,
  0.997232,
  1.002120,
  1.007004,
  1.011886,
  1.016764,
  1.021639,
  1.026511,
  1.031380,
  1.036246,
  1.041108,
  1.045968,
  1.050824,
  1.055677,
  1.060526,
  1.065373,
  1.070216,
  1.075056,
  1.079893,
  1.084726,
  1.089556,
  1.094383,
  1.099207,
  1.104027,
  1.108844,
  1.113658,
  1.118468,
  1.123275,
  1.128079,
  1.132879,
  1.137676,
  1.142470,
  1.147260,
  1.152047,
  1.156831,
  1.161611,
  1.166388,
  1.171161,
  1.175931,
  1.180698,
  1.185461,
  1.190221,
  1.194977,
  1.199730,
  1.204479,
  1.209225,
  1.213968,
  1.218707,
  1.223443,
  1.228175,
  1.232904,
  1.237629,
  1.242351,
  1.247069,
  1.251784,
  1.256495,
  1.261203,
  1.265907,
  1.270608,
  1.275305,
  1.279999,
  1.284689,
  1.289375,
  1.294058,
  1.298738,
  1.303414,
  1.308086,
  1.312755,
  1.317420,
  1.322082,
  1.326740,
  1.331395,
  1.336046,
  1.340693,
  1.345337,
  1.349977,
  1.354614,
  1.359246,
  1.363876,
  1.368502,
  1.373124,
  1.377742,
  1.382357,
  1.386968,
  1.391576,
  1.396180,
  1.400780,
  1.405377,
  1.409970,
  1.414560,
  1.419145,
  1.423728,
  1.428306,
  1.432881,
  1.437452,
  1.442020,
  1.446583,
  1.451144,
  1.455700,
  1.460253,
  1.464802,
  1.469347,
  1.473889,
  1.478427,
  1.482962,
  1.487492,
  1.492019,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.490861,
  -1.486333,
  -1.481802,
  -1.477266,
  -1.472727,
  -1.468185,
  -1.463638,
  -1.459088,
  -1.454534,
  -1.449977,
  -1.445416,
  -1.440851,
  -1.436283,
  -1.431711,
  -1.427135,
  -1.422555,
  -1.417972,
  -1.413386,
  -1.408795,
  -1.404201,
  -1.399604,
  -1.395002,
  -1.390397,
  -1.385789,
  -1.381177,
  -1.376561,
  -1.371941,
  -1.367318,
  -1.362692,
  -1.358061,
  -1.353427,
  -1.348790,
  -1.344149,
  -1.339504,
  -1.334856,
  -1.330204,
  -1.325549,
  -1.320889,
  -1.316227,
  -1.311561,
  -1.306891,
  -1.302218,
  -1.297541,
  -1.292860,
  -1.288176,
  -1.283489,
  -1.278798,
  -1.274103,
  -1.269405,
  -1.264704,
  -1.259999,
  -1.255290,
  -1.250578,
  -1.245862,
  -1.241143,
  -1.236420,
  -1.231694,
  -1.226965,
  -1.222232,
  -1.217495,
  -1.212755,
  -1.208012,
  -1.203265,
  -1.198514,
  -1.193761,
  -1.189003,
  -1.184243,
  -1.179479,
  -1.174711,
  -1.169940,
  -1.165166,
  -1.160388,
  -1.155607,
  -1.150823,
  -1.146035,
  -1.141244,
  -1.136449,
  -1.131652,
  -1.126850,
  -1.122046,
  -1.117238,
  -1.112427,
  -1.107612,
  -1.102794,
  -1.097973,
  -1.093149,
  -1.088321,
  -1.083490,
  -1.078656,
  -1.073818,
  -1.068977,
  -1.064134,
  -1.059286,
  -1.054436,
  -1.049582,
  -1.044725,
  -1.039865,
  -1.035002,
  -1.030135,
  -1.025266,
  -1.020393,
  -1.015517,
  -1.010638,
  -1.005756,
  -1.000870,
  -0.995982,
  -0.991090,
  -0.986195,
  -0.981297,
  -0.976397,
  -0.971493,
  -0.966586,
  -0.961675,
  -0.956762,
  -0.951846,
  -0.946927,
  -0.942005,
  -0.937079,
  -0.932151,
  -0.927220,
  -0.922286,
  -0.917349,
  -0.912409,
  -0.907465,
  -0.902519,
  -0.897571,
  -0.892619,
  -0.887664,
  -0.882706,
  -0.877746,
  -0.872783,
  -0.867817,
  -0.862847,
  -0.857876,
  -0.852901,
  -0.847923,
  -0.842943,
  -0.837960,
  -0.832974,
  -0.827986,
  -0.822994,
  -0.818000,
  -0.813003,
  -0.808004,
  -0.803002,
  -0.797997,
  -0.792989,
  -0.787979,
  -0.782966,
  -0.777950,
  -0.772932,
  -0.767911,
  -0.762888,
  -0.757862,
  -0.752833,
  -0.747802,
  -0.742769,
  -0.737732,
  -0.732694,
  -0.727652,
  -0.722609,
  -0.717563,
  -0.712514,
  -0.707463,
  -0.702409,
  -0.697353,
  -0.692295,
  -0.687234,
  -0.682171,
  -0.677105,
  -0.672038,
  -0.666967,
  -0.661895,
  -0.656820,
  -0.651743,
  -0.646663,
  -0.641582,
  -0.636498,
  -0.631411,
  -0.626323,
  -0.621232,
  -0.616140,
  -0.611045,
  -0.605948,
  -0.600848,
  -0.595747,
  -0.590643,
  -0.585538,
  -0.580430,
  -0.575320,
  -0.570208,
  -0.565094,
  -0.559979,
  -0.554861,
  -0.549741,
  -0.544619,
  -0.539495,
  -0.534369,
  -0.529242,
  -0.524112,
  -0.518981,
  -0.513847,
  -0.508712,
  -0.503575,
  -0.498436,
  -0.493295,
  -0.488153,
  -0.483009,
  -0.477863,
  -0.472715,
  -0.467565,
  -0.462414,
  -0.457261,
  -0.452107,
  -0.446950,
  -0.441793,
  -0.436633,
  -0.431472,
  -0.426309,
  -0.421145,
  -0.415979,
  -0.410812,
  -0.405643,
  -0.400473,
  -0.395301,
  -0.390128,
  -0.384953,
  -0.379777,
  -0.374599,
  -0.369420,
  -0.364240,
  -0.359058,
  -0.353875,
  -0.348691,
  -0.343505,
  -0.338319,
  -0.333130,
  -0.327941,
  -0.322750,
  -0.317559,
  -0.312366,
  -0.307171,
  -0.301976,
  -0.296780,
  -0.291582,
  -0.286383,
  -0.281184,
  -0.275983,
  -0.270781,
  -0.265578,
  -0.260374,
  -0.255169,
  -0.249963,
  -0.244757,
  -0.239549,
  -0.234340,
  -0.229131,
  -0.223921,
  -0.218709,
  -0.213497,
  -0.208285,
  -0.203071,
  -0.197857,
  -0.192641,
  -0.187426,
  -0.182209,
  -0.176992,
  -0.171774,
  -0.166555,
  -0.161336,
  -0.156116,
  -0.150896,
  -0.145675,
  -0.140453,
  -0.135231,
  -0.130009,
  -0.124786,
  -0.119562,
  -0.114338,
  -0.109113,
  -0.103889,
  -0.098663,
  -0.093438,
  -0.088212,
  -0.082985,
  -0.077759,
  -0.072532,
  -0.067304,
  -0.062077,
  -0.056849,
  -0.051621,
  -0.046393,
  -0.041165,
  -0.035936,
  -0.030708,
  -0.025479,
  -0.020250,
  -0.015021,
  -0.009792,
  -0.004563,
  0.000666,
  0.005895,
  0.011124,
  0.016353,
  0.021582,
  0.026810,
  0.032039,
  0.037268,
  0.042496,
  0.047724,
  0.052952,
  0.058180,
  0.063408,
  0.068635,
  0.073863,
  0.079089,
  0.084316,
  0.089542,
  0.094768,
  0.099994,
  0.105219,
  0.110444,
  0.115668,
  0.120892,
  0.126115,
  0.131338,
  0.136561,
  0.141783,
  0.147004,
  0.152225,
  0.157445,
  0.162665,
  0.167884,
  0.173102,
  0.178320,
  0.183537,
  0.188754,
  0.193969,
  0.199184,
  0.204399,
  0.209612,
  0.214825,
  0.220036,
  0.225247,
  0.230457,
  0.235667,
  0.240875,
  0.246082,
  0.251289,
  0.256495,
  0.261699,
  0.266903,
  0.272105,
  0.277307,
  0.282508,
  0.287707,
  0.292905,
  0.298103,
  0.303299,
  0.308494,
  0.313688,
  0.318881,
  0.324072,
  0.329262,
  0.334452,
  0.339639,
  0.344826,
  0.350011,
  0.355195,
  0.360378,
  0.365559,
  0.370739,
  0.375918,
  0.381095,
  0.386271,
  0.391445,
  0.396618,
  0.401789,
  0.406959,
  0.412128,
  0.417295,
  0.422460,
  0.427624,
  0.432786,
  0.437947,
  0.443106,
  0.448263,
  0.453419,
  0.458573,
  0.463726,
  0.468877,
  0.474026,
  0.479173,
  0.484318,
  0.489462,
  0.494604,
  0.499745,
  0.504883,
  0.510020,
  0.515154,
  0.520287,
  0.525418,
  0.530547,
  0.535675,
  0.540800,
  0.545923,
  0.551044,
  0.556164,
  0.561281,
  0.566397,
  0.571510,
  0.576621,
  0.581731,
  0.586838,
  0.591943,
  0.597046,
  0.602147,
  0.607246,
  0.612342,
  0.617437,
  0.622529,
  0.627619,
  0.632707,
  0.637792,
  0.642876,
  0.647957,
  0.653036,
  0.658112,
  0.663187,
  0.668259,
  0.673328,
  0.678395,
  0.683460,
  0.688523,
  0.693583,
  0.698641,
  0.703696,
  0.708749,
  0.713800,
  0.718848,
  0.723893,
  0.728936,
  0.733977,
  0.739015,
  0.744051,
  0.749084,
  0.754114,
  0.759142,
  0.764167,
  0.769190,
  0.774210,
  0.779227,
  0.784242,
  0.789255,
  0.794264,
  0.799271,
  0.804275,
  0.809277,
  0.814276,
  0.819272,
  0.824265,
  0.829256,
  0.834244,
  0.839229,
  0.844211,
  0.849191,
  0.854168,
  0.859142,
  0.864113,
  0.869081,
  0.874047,
  0.879009,
  0.883969,
  0.888926,
  0.893880,
  0.898831,
  0.903779,
  0.908724,
  0.913667,
  0.918606,
  0.923542,
  0.928476,
  0.933406,
  0.938334,
  0.943258,
  0.948180,
  0.953098,
  0.958013,
  0.962926,
  0.967835,
  0.972741,
  0.977645,
  0.982545,
  0.987442,
  0.992336,
  0.997227,
  1.002114,
  1.006999,
  1.011880,
  1.016759,
  1.021634,
  1.026506,
  1.031375,
  1.036240,
  1.041103,
  1.045962,
  1.050818,
  1.055671,
  1.060521,
  1.065367,
  1.070210,
  1.075050,
  1.079887,
  1.084720,
  1.089550,
  1.094377,
  1.099201,
  1.104021,
  1.108838,
  1.113652,
  1.118462,
  1.123269,
  1.128073,
  1.132873,
  1.137670,
  1.142464,
  1.147254,
  1.152041,
  1.156825,
  1.161605,
  1.166382,
  1.171155,
  1.175925,
  1.180692,
  1.185455,
  1.190215,
  1.194971,
  1.199724,
  1.204474,
  1.209220,
  1.213962,
  1.218701,
  1.223437,
  1.228169,
  1.232898,
  1.237623,
  1.242345,
  1.247063,
  1.251778,
  1.256489,
  1.261197,
  1.265901,
  1.270602,
  1.275299,
  1.279993,
  1.284683,
  1.289369,
  1.294052,
  1.298732,
  1.303408,
  1.308080,
  1.312749,
  1.317414,
  1.322076,
  1.326734,
  1.331389,
  1.336040,
  1.340687,
  1.345331,
  1.349971,
  1.354608,
  1.359241,
  1.363870,
  1.368496,
  1.373118,
  1.377736,
  1.382351,
  1.386963,
  1.391570,
  1.396174,
  1.400775,
  1.405371,
  1.409964,
  1.414554,
  1.419140,
  1.423722,
  1.428300,
  1.432875,
  1.437446,
  1.442014,
  1.446578,
  1.451138,
  1.455694,
  1.460247,
  1.464796,
  1.469342,
  1.473883,
  1.478421,
  1.482956,
  1.487486,
  1.492014,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.490913,
  -1.486385,
  -1.481853,
  -1.477318,
  -1.472779,
  -1.468236,
  -1.463690,
  -1.459140,
  -1.454586,
  -1.450029,
  -1.445468,
  -1.440903,
  -1.436335,
  -1.431763,
  -1.427187,
  -1.422607,
  -1.418024,
  -1.413438,
  -1.408847,
  -1.404253,
  -1.399656,
  -1.395054,
  -1.390449,
  -1.385841,
  -1.381229,
  -1.376613,
  -1.371993,
  -1.367370,
  -1.362744,
  -1.358113,
  -1.353480,
  -1.348842,
  -1.344201,
  -1.339556,
  -1.334908,
  -1.330256,
  -1.325601,
  -1.320941,
  -1.316279,
  -1.311613,
  -1.306943,
  -1.302270,
  -1.297593,
  -1.292912,
  -1.288228,
  -1.283541,
  -1.278850,
  -1.274155,
  -1.269457,
  -1.264755,
  -1.260050,
  -1.255342,
  -1.250629,
  -1.245914,
  -1.241194,
  -1.236472,
  -1.231746,
  -1.227016,
  -1.222283,
  -1.217546,
  -1.212806,
  -1.208063,
  -1.203316,
  -1.198565,
  -1.193812,
  -1.189054,
  -1.184294,
  -1.179530,
  -1.174762,
  -1.169991,
  -1.165217,
  -1.160439,
  -1.155658,
  -1.150873,
  -1.146086,
  -1.141294,
  -1.136500,
  -1.131702,
  -1.126900,
  -1.122096,
  -1.117288,
  -1.112477,
  -1.107662,
  -1.102844,
  -1.098023,
  -1.093198,
  -1.088371,
  -1.083539,
  -1.078705,
  -1.073868,
  -1.069027,
  -1.064183,
  -1.059335,
  -1.054485,
  -1.049631,
  -1.044774,
  -1.039914,
  -1.035050,
  -1.030184,
  -1.025314,
  -1.020441,
  -1.015565,
  -1.010686,
  -1.005803,
  -1.000918,
  -0.996029,
  -0.991138,
  -0.986243,
  -0.981345,
  -0.976444,
  -0.971540,
  -0.966632,
  -0.961722,
  -0.956809,
  -0.951893,
  -0.946973,
  -0.942051,
  -0.937126,
  -0.932197,
  -0.927266,
  -0.922332,
  -0.917394,
  -0.912454,
  -0.907511,
  -0.902565,
  -0.897616,
  -0.892664,
  -0.887709,
  -0.882751,
  -0.877790,
  -0.872827,
  -0.867861,
  -0.862891,
  -0.857919,
  -0.852945,
  -0.847967,
  -0.842986,
  -0.838003,
  -0.833017,
  -0.828028,
  -0.823037,
  -0.818043,
  -0.813046,
  -0.808046,
  -0.803043,
  -0.798038,
  -0.793031,
  -0.788020,
  -0.783007,
  -0.777991,
  -0.772973,
  -0.767952,
  -0.762928,
  -0.757902,
  -0.752874,
  -0.747842,
  -0.742808,
  -0.737772,
  -0.732733,
  -0.727692,
  -0.722648,
  -0.717601,
  -0.712553,
  -0.707501,
  -0.702447,
  -0.697391,
  -0.692333,
  -0.687272,
  -0.682208,
  -0.677143,
  -0.672074,
  -0.667004,
  -0.661931,
  -0.656856,
  -0.651779,
  -0.646699,
  -0.641617,
  -0.636533,
  -0.631447,
  -0.626358,
  -0.621267,
  -0.616174,
  -0.611079,
  -0.605982,
  -0.600882,
  -0.595780,
  -0.590677,
  -0.585571,
  -0.580463,
  -0.575353,
  -0.570241,
  -0.565127,
  -0.560010,
  -0.554892,
  -0.549772,
  -0.544650,
  -0.539526,
  -0.534400,
  -0.529272,
  -0.524142,
  -0.519010,
  -0.513877,
  -0.508741,
  -0.503604,
  -0.498465,
  -0.493324,
  -0.488181,
  -0.483037,
  -0.477890,
  -0.472742,
  -0.467593,
  -0.462441,
  -0.457288,
  -0.452133,
  -0.446977,
  -0.441818,
  -0.436659,
  -0.431497,
  -0.426334,
  -0.421170,
  -0.416004,
  -0.410836,
  -0.405667,
  -0.400497,
  -0.395324,
  -0.390151,
  -0.384976,
  -0.379799,
  -0.374622,
  -0.369442,
  -0.364262,
  -0.359080,
  -0.353897,
  -0.348712,
  -0.343526,
  -0.338339,
  -0.333150,
  -0.327961,
  -0.322770,
  -0.317578,
  -0.312384,
  -0.307190,
  -0.301994,
  -0.296797,
  -0.291600,
  -0.286401,
  -0.281201,
  -0.275999,
  -0.270797,
  -0.265594,
  -0.260390,
  -0.255185,
  -0.249979,
  -0.244772,
  -0.239564,
  -0.234355,
  -0.229145,
  -0.223934,
  -0.218723,
  -0.213510,
  -0.208297,
  -0.203083,
  -0.197869,
  -0.192653,
  -0.187437,
  -0.182220,
  -0.177003,
  -0.171784,
  -0.166566,
  -0.161346,
  -0.156126,
  -0.150905,
  -0.145684,
  -0.140462,
  -0.135239,
  -0.130017,
  -0.124793,
  -0.119569,
  -0.114345,
  -0.109120,
  -0.103895,
  -0.098669,
  -0.093443,
  -0.088217,
  -0.082990,
  -0.077763,
  -0.072536,
  -0.067309,
  -0.062081,
  -0.056853,
  -0.051624,
  -0.046396,
  -0.041167,
  -0.035939,
  -0.030710,
  -0.025481,
  -0.020251,
  -0.015022,
  -0.009793,
  -0.004564,
  0.000666,
  0.005895,
  0.011124,
  0.016354,
  0.021583,
  0.026812,
  0.032041,
  0.037270,
  0.042499,
  0.047727,
  0.052956,
  0.058184,
  0.063412,
  0.068640,
  0.073867,
  0.079094,
  0.084321,
  0.089548,
  0.094774,
  0.100000,
  0.105225,
  0.110451,
  0.115675,
  0.120899,
  0.126123,
  0.131346,
  0.136569,
  0.141792,
  0.147013,
  0.152234,
  0.157455,
  0.162675,
  0.167894,
  0.173113,
  0.178331,
  0.183549,
  0.188765,
  0.193981,
  0.199197,
  0.204411,
  0.209625,
  0.214838,
  0.220050,
  0.225261,
  0.230471,
  0.235681,
  0.240890,
  0.246097,
  0.251304,
  0.256510,
  0.261715,
  0.266919,
  0.272122,
  0.277324,
  0.282525,
  0.287724,
  0.292923,
  0.298121,
  0.303317,
  0.308513,
  0.313707,
  0.318900,
  0.324092,
  0.329282,
  0.334472,
  0.339660,
  0.344847,
  0.350032,
  0.355216,
  0.360399,
  0.365581,
  0.370761,
  0.375940,
  0.381118,
  0.386294,
  0.391468,
  0.396641,
  0.401813,
  0.406983,
  0.412152,
  0.417319,
  0.422485,
  0.427649,
  0.432812,
  0.437973,
  0.443132,
  0.448290,
  0.453446,
  0.458600,
  0.463753,
  0.468904,
  0.474053,
  0.479201,
  0.484347,
  0.489491,
  0.494633,
  0.499773,
  0.504912,
  0.510049,
  0.515184,
  0.520317,
  0.525448,
  0.530578,
  0.535705,
  0.540831,
  0.545954,
  0.551076,
  0.556196,
  0.561313,
  0.566429,
  0.571543,
  0.576654,
  0.581764,
  0.586871,
  0.591976,
  0.597080,
  0.602181,
  0.607280,
  0.612377,
  0.617471,
  0.622564,
  0.627654,
  0.632742,
  0.637828,
  0.642911,
  0.647993,
  0.653072,
  0.658149,
  0.663223,
  0.668295,
  0.673365,
  0.678433,
  0.683498,
  0.688561,
  0.693621,
  0.698679,
  0.703734,
  0.708788,
  0.713838,
  0.718886,
  0.723932,
  0.728976,
  0.734016,
  0.739055,
  0.744090,
  0.749124,
  0.754154,
  0.759182,
  0.764208,
  0.769231,
  0.774251,
  0.779269,
  0.784284,
  0.789296,
  0.794306,
  0.799313,
  0.804317,
  0.809319,
  0.814318,
  0.819314,
  0.824308,
  0.829299,
  0.834287,
  0.839272,
  0.844255,
  0.849235,
  0.854211,
  0.859186,
  0.864157,
  0.869125,
  0.874091,
  0.879054,
  0.884014,
  0.888971,
  0.893925,
  0.898876,
  0.903824,
  0.908770,
  0.913712,
  0.918652,
  0.923588,
  0.928522,
  0.933452,
  0.938380,
  0.943304,
  0.948226,
  0.953145,
  0.958060,
  0.962973,
  0.967882,
  0.972789,
  0.977692,
  0.982592,
  0.987489,
  0.992383,
  0.997274,
  1.002162,
  1.007047,
  1.011928,
  1.016807,
  1.021682,
  1.026554,
  1.031423,
  1.036289,
  1.041152,
  1.046011,
  1.050867,
  1.055720,
  1.060570,
  1.065416,
  1.070260,
  1.075100,
  1.079936,
  1.084770,
  1.089600,
  1.094427,
  1.099251,
  1.104071,
  1.108888,
  1.113702,
  1.118512,
  1.123319,
  1.128123,
  1.132924,
  1.137721,
  1.142514,
  1.147305,
  1.152092,
  1.156875,
  1.161656,
  1.166433,
  1.171206,
  1.175976,
  1.180743,
  1.185506,
  1.190266,
  1.195022,
  1.199775,
  1.204525,
  1.209271,
  1.214013,
  1.218753,
  1.223488,
  1.228221,
  1.232949,
  1.237675,
  1.242396,
  1.247115,
  1.251830,
  1.256541,
  1.261248,
  1.265953,
  1.270653,
  1.275351,
  1.280044,
  1.284735,
  1.289421,
  1.294104,
  1.298784,
  1.303460,
  1.308132,
  1.312801,
  1.317466,
  1.322128,
  1.326786,
  1.331441,
  1.336092,
  1.340739,
  1.345383,
  1.350023,
  1.354660,
  1.359293,
  1.363922,
  1.368548,
  1.373170,
  1.377788,
  1.382403,
  1.387015,
  1.391622,
  1.396226,
  1.400827,
  1.405423,
  1.410016,
  1.414606,
  1.419192,
  1.423774,
  1.428352,
  1.432927,
  1.437498,
  1.442066,
  1.446630,
  1.451190,
  1.455746,
  1.460299,
  1.464848,
  1.469393,
  1.473935,
  1.478473,
  1.483008,
  1.487538,
  1.492065,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491022,
  -1.486494,
  -1.481963,
  -1.477428,
  -1.472889,
  -1.468346,
  -1.463800,
  -1.459250,
  -1.454696,
  -1.450139,
  -1.445578,
  -1.441013,
  -1.436445,
  -1.431872,
  -1.427297,
  -1.422717,
  -1.418134,
  -1.413548,
  -1.408957,
  -1.404363,
  -1.399766,
  -1.395164,
  -1.390559,
  -1.385951,
  -1.381339,
  -1.376723,
  -1.372103,
  -1.367480,
  -1.362854,
  -1.358223,
  -1.353589,
  -1.348952,
  -1.344311,
  -1.339666,
  -1.335018,
  -1.330366,
  -1.325710,
  -1.321051,
  -1.316389,
  -1.311722,
  -1.307052,
  -1.302379,
  -1.297702,
  -1.293022,
  -1.288338,
  -1.283650,
  -1.278959,
  -1.274264,
  -1.269566,
  -1.264864,
  -1.260159,
  -1.255450,
  -1.250738,
  -1.246022,
  -1.241303,
  -1.236580,
  -1.231854,
  -1.227124,
  -1.222391,
  -1.217655,
  -1.212914,
  -1.208171,
  -1.203424,
  -1.198673,
  -1.193919,
  -1.189162,
  -1.184401,
  -1.179637,
  -1.174869,
  -1.170098,
  -1.165324,
  -1.160546,
  -1.155765,
  -1.150980,
  -1.146192,
  -1.141401,
  -1.136606,
  -1.131808,
  -1.127006,
  -1.122202,
  -1.117393,
  -1.112582,
  -1.107767,
  -1.102949,
  -1.098128,
  -1.093303,
  -1.088475,
  -1.083644,
  -1.078809,
  -1.073972,
  -1.069131,
  -1.064286,
  -1.059439,
  -1.054588,
  -1.049734,
  -1.044877,
  -1.040016,
  -1.035153,
  -1.030286,
  -1.025416,
  -1.020543,
  -1.015667,
  -1.010787,
  -1.005905,
  -1.001019,
  -0.996130,
  -0.991238,
  -0.986343,
  -0.981445,
  -0.976543,
  -0.971639,
  -0.966732,
  -0.961821,
  -0.956908,
  -0.951991,
  -0.947071,
  -0.942149,
  -0.937223,
  -0.932294,
  -0.927363,
  -0.922428,
  -0.917491,
  -0.912550,
  -0.907607,
  -0.902660,
  -0.897711,
  -0.892759,
  -0.887803,
  -0.882845,
  -0.877884,
  -0.872921,
  -0.867954,
  -0.862984,
  -0.858012,
  -0.853037,
  -0.848059,
  -0.843078,
  -0.838094,
  -0.833108,
  -0.828119,
  -0.823127,
  -0.818132,
  -0.813135,
  -0.808135,
  -0.803132,
  -0.798127,
  -0.793119,
  -0.788108,
  -0.783094,
  -0.778078,
  -0.773059,
  -0.768038,
  -0.763014,
  -0.757988,
  -0.752958,
  -0.747927,
  -0.742893,
  -0.737856,
  -0.732816,
  -0.727775,
  -0.722730,
  -0.717683,
  -0.712634,
  -0.707582,
  -0.702528,
  -0.697472,
  -0.692413,
  -0.687351,
  -0.682287,
  -0.677221,
  -0.672153,
  -0.667082,
  -0.662009,
  -0.656933,
  -0.651855,
  -0.646775,
  -0.641693,
  -0.636608,
  -0.631521,
  -0.626432,
  -0.621341,
  -0.616247,
  -0.611151,
  -0.606054,
  -0.600954,
  -0.595851,
  -0.590747,
  -0.585641,
  -0.580532,
  -0.575422,
  -0.570309,
  -0.565194,
  -0.560078,
  -0.554959,
  -0.549838,
  -0.544716,
  -0.539591,
  -0.534465,
  -0.529336,
  -0.524206,
  -0.519074,
  -0.513939,
  -0.508803,
  -0.503666,
  -0.498526,
  -0.493384,
  -0.488241,
  -0.483096,
  -0.477949,
  -0.472801,
  -0.467650,
  -0.462498,
  -0.457344,
  -0.452189,
  -0.447032,
  -0.441873,
  -0.436713,
  -0.431551,
  -0.426388,
  -0.421222,
  -0.416056,
  -0.410888,
  -0.405718,
  -0.400547,
  -0.395374,
  -0.390200,
  -0.385024,
  -0.379847,
  -0.374669,
  -0.369489,
  -0.364308,
  -0.359125,
  -0.353941,
  -0.348756,
  -0.343570,
  -0.338382,
  -0.333193,
  -0.328002,
  -0.322811,
  -0.317618,
  -0.312424,
  -0.307229,
  -0.302033,
  -0.296835,
  -0.291637,
  -0.286437,
  -0.281236,
  -0.276035,
  -0.270832,
  -0.265628,
  -0.260423,
  -0.255217,
  -0.250011,
  -0.244803,
  -0.239594,
  -0.234385,
  -0.229174,
  -0.223963,
  -0.218751,
  -0.213538,
  -0.208324,
  -0.203110,
  -0.197894,
  -0.192678,
  -0.187461,
  -0.182244,
  -0.177026,
  -0.171807,
  -0.166587,
  -0.161367,
  -0.156146,
  -0.150925,
  -0.145703,
  -0.140480,
  -0.135257,
  -0.130033,
  -0.124809,
  -0.119585,
  -0.114360,
  -0.109134,
  -0.103908,
  -0.098682,
  -0.093456,
  -0.088229,
  -0.083001,
  -0.077774,
  -0.072546,
  -0.067317,
  -0.062089,
  -0.056860,
  -0.051631,
  -0.046402,
  -0.041173,
  -0.035943,
  -0.030714,
  -0.025484,
  -0.020254,
  -0.015024,
  -0.009794,
  -0.004564,
  0.000666,
  0.005896,
  0.011126,
  0.016356,
  0.021586,
  0.026815,
  0.032045,
  0.037275,
  0.042504,
  0.047733,
  0.052963,
  0.058191,
  0.063420,
  0.068649,
  0.073877,
  0.079105,
  0.084332,
  0.089559,
  0.094786,
  0.100013,
  0.105239,
  0.110465,
  0.115690,
  0.120915,
  0.126140,
  0.131364,
  0.136587,
  0.141810,
  0.147032,
  0.152254,
  0.157475,
  0.162696,
  0.167916,
  0.173136,
  0.178354,
  0.183572,
  0.188790,
  0.194006,
  0.199222,
  0.204437,
  0.209652,
  0.214865,
  0.220078,
  0.225290,
  0.230501,
  0.235711,
  0.240921,
  0.246129,
  0.251337,
  0.256543,
  0.261749,
  0.266953,
  0.272157,
  0.277359,
  0.282561,
  0.287761,
  0.292961,
  0.298159,
  0.303356,
  0.308552,
  0.313747,
  0.318940,
  0.324133,
  0.329324,
  0.334514,
  0.339703,
  0.344890,
  0.350076,
  0.355261,
  0.360445,
  0.365627,
  0.370808,
  0.375987,
  0.381166,
  0.386342,
  0.391517,
  0.396691,
  0.401864,
  0.407034,
  0.412204,
  0.417371,
  0.422538,
  0.427702,
  0.432866,
  0.438027,
  0.443187,
  0.448345,
  0.453502,
  0.458657,
  0.463810,
  0.468962,
  0.474112,
  0.479260,
  0.484406,
  0.489551,
  0.494694,
  0.499835,
  0.504974,
  0.510111,
  0.515247,
  0.520380,
  0.525512,
  0.530642,
  0.535770,
  0.540896,
  0.546020,
  0.551142,
  0.556263,
  0.561381,
  0.566497,
  0.571611,
  0.576723,
  0.581833,
  0.586941,
  0.592047,
  0.597151,
  0.602252,
  0.607352,
  0.612449,
  0.617544,
  0.622637,
  0.627728,
  0.632816,
  0.637903,
  0.642987,
  0.648069,
  0.653148,
  0.658225,
  0.663300,
  0.668373,
  0.673443,
  0.678511,
  0.683577,
  0.688640,
  0.693701,
  0.698759,
  0.703815,
  0.708869,
  0.713920,
  0.718969,
  0.724015,
  0.729059,
  0.734100,
  0.739138,
  0.744175,
  0.749208,
  0.754239,
  0.759268,
  0.764294,
  0.769317,
  0.774338,
  0.779356,
  0.784371,
  0.789384,
  0.794394,
  0.799402,
  0.804406,
  0.809408,
  0.814408,
  0.819404,
  0.824398,
  0.829390,
  0.834378,
  0.839364,
  0.844347,
  0.849327,
  0.854304,
  0.859278,
  0.864250,
  0.869219,
  0.874185,
  0.879148,
  0.884108,
  0.889065,
  0.894020,
  0.898971,
  0.903920,
  0.908866,
  0.913808,
  0.918748,
  0.923685,
  0.928619,
  0.933550,
  0.938477,
  0.943402,
  0.948324,
  0.953243,
  0.958159,
  0.963072,
  0.967981,
  0.972888,
  0.977792,
  0.982692,
  0.987589,
  0.992484,
  0.997375,
  1.002263,
  1.007148,
  1.012030,
  1.016909,
  1.021784,
  1.026656,
  1.031525,
  1.036391,
  1.041254,
  1.046114,
  1.050970,
  1.055823,
  1.060673,
  1.065520,
  1.070364,
  1.075204,
  1.080041,
  1.084874,
  1.089705,
  1.094532,
  1.099356,
  1.104176,
  1.108994,
  1.113807,
  1.118618,
  1.123425,
  1.128229,
  1.133030,
  1.137827,
  1.142621,
  1.147411,
  1.152199,
  1.156982,
  1.161763,
  1.166540,
  1.171313,
  1.176084,
  1.180850,
  1.185614,
  1.190374,
  1.195130,
  1.199883,
  1.204633,
  1.209379,
  1.214122,
  1.218861,
  1.223597,
  1.228329,
  1.233058,
  1.237783,
  1.242505,
  1.247223,
  1.251938,
  1.256650,
  1.261358,
  1.266062,
  1.270763,
  1.275460,
  1.280154,
  1.284844,
  1.289531,
  1.294214,
  1.298893,
  1.303569,
  1.308242,
  1.312911,
  1.317576,
  1.322238,
  1.326896,
  1.331551,
  1.336202,
  1.340849,
  1.345493,
  1.350133,
  1.354770,
  1.359403,
  1.364032,
  1.368658,
  1.373280,
  1.377898,
  1.382513,
  1.387125,
  1.391732,
  1.396336,
  1.400937,
  1.405533,
  1.410126,
  1.414716,
  1.419302,
  1.423884,
  1.428462,
  1.433037,
  1.437608,
  1.442176,
  1.446739,
  1.451299,
  1.455856,
  1.460409,
  1.464958,
  1.469503,
  1.474045,
  1.478583,
  1.483117,
  1.487648,
  1.492175,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491189,
  -1.486661,
  -1.482130,
  -1.477595,
  -1.473056,
  -1.468513,
  -1.463967,
  -1.459417,
  -1.454864,
  -1.450306,
  -1.445745,
  -1.441181,
  -1.436612,
  -1.432040,
  -1.427464,
  -1.422885,
  -1.418302,
  -1.413715,
  -1.409125,
  -1.404531,
  -1.399934,
  -1.395332,
  -1.390727,
  -1.386119,
  -1.381507,
  -1.376891,
  -1.372271,
  -1.367648,
  -1.363021,
  -1.358391,
  -1.353757,
  -1.349120,
  -1.344478,
  -1.339834,
  -1.335185,
  -1.330534,
  -1.325878,
  -1.321219,
  -1.316556,
  -1.311890,
  -1.307220,
  -1.302547,
  -1.297870,
  -1.293189,
  -1.288505,
  -1.283817,
  -1.279126,
  -1.274431,
  -1.269733,
  -1.265031,
  -1.260326,
  -1.255617,
  -1.250905,
  -1.246189,
  -1.241469,
  -1.236746,
  -1.232020,
  -1.227290,
  -1.222557,
  -1.217820,
  -1.213080,
  -1.208336,
  -1.203589,
  -1.198838,
  -1.194084,
  -1.189326,
  -1.184565,
  -1.179801,
  -1.175033,
  -1.170262,
  -1.165487,
  -1.160709,
  -1.155928,
  -1.151143,
  -1.146355,
  -1.141563,
  -1.136768,
  -1.131970,
  -1.127168,
  -1.122363,
  -1.117555,
  -1.112743,
  -1.107928,
  -1.103110,
  -1.098288,
  -1.093463,
  -1.088635,
  -1.083803,
  -1.078969,
  -1.074131,
  -1.069289,
  -1.064445,
  -1.059597,
  -1.054746,
  -1.049891,
  -1.045034,
  -1.040173,
  -1.035309,
  -1.030442,
  -1.025572,
  -1.020698,
  -1.015822,
  -1.010942,
  -1.006059,
  -1.001173,
  -0.996284,
  -0.991391,
  -0.986496,
  -0.981597,
  -0.976696,
  -0.971791,
  -0.966883,
  -0.961972,
  -0.957058,
  -0.952141,
  -0.947221,
  -0.942298,
  -0.937372,
  -0.932443,
  -0.927511,
  -0.922576,
  -0.917638,
  -0.912697,
  -0.907753,
  -0.902806,
  -0.897856,
  -0.892903,
  -0.887948,
  -0.882989,
  -0.878028,
  -0.873064,
  -0.868096,
  -0.863126,
  -0.858153,
  -0.853178,
  -0.848199,
  -0.843218,
  -0.838234,
  -0.833247,
  -0.828257,
  -0.823265,
  -0.818270,
  -0.813272,
  -0.808271,
  -0.803268,
  -0.798262,
  -0.793253,
  -0.788242,
  -0.783228,
  -0.778211,
  -0.773192,
  -0.768170,
  -0.763145,
  -0.758118,
  -0.753088,
  -0.748056,
  -0.743021,
  -0.737984,
  -0.732944,
  -0.727901,
  -0.722856,
  -0.717809,
  -0.712759,
  -0.707706,
  -0.702652,
  -0.697594,
  -0.692535,
  -0.687472,
  -0.682408,
  -0.677341,
  -0.672272,
  -0.667200,
  -0.662126,
  -0.657050,
  -0.651972,
  -0.646891,
  -0.641808,
  -0.636722,
  -0.631635,
  -0.626545,
  -0.621453,
  -0.616358,
  -0.611262,
  -0.606163,
  -0.601063,
  -0.595960,
  -0.590855,
  -0.585748,
  -0.580638,
  -0.575527,
  -0.570414,
  -0.565298,
  -0.560181,
  -0.555061,
  -0.549940,
  -0.544816,
  -0.539691,
  -0.534564,
  -0.529434,
  -0.524303,
  -0.519170,
  -0.514035,
  -0.508898,
  -0.503760,
  -0.498619,
  -0.493477,
  -0.488333,
  -0.483187,
  -0.478039,
  -0.472890,
  -0.467738,
  -0.462585,
  -0.457431,
  -0.452275,
  -0.447117,
  -0.441957,
  -0.436796,
  -0.431633,
  -0.426469,
  -0.421303,
  -0.416135,
  -0.410966,
  -0.405795,
  -0.400623,
  -0.395450,
  -0.390275,
  -0.385098,
  -0.379920,
  -0.374741,
  -0.369560,
  -0.364378,
  -0.359194,
  -0.354010,
  -0.348823,
  -0.343636,
  -0.338447,
  -0.333257,
  -0.328066,
  -0.322873,
  -0.317680,
  -0.312485,
  -0.307289,
  -0.302092,
  -0.296893,
  -0.291694,
  -0.286493,
  -0.281291,
  -0.276089,
  -0.270885,
  -0.265680,
  -0.260474,
  -0.255268,
  -0.250060,
  -0.244851,
  -0.239641,
  -0.234431,
  -0.229219,
  -0.224007,
  -0.218794,
  -0.213580,
  -0.208365,
  -0.203150,
  -0.197933,
  -0.192716,
  -0.187498,
  -0.182280,
  -0.177061,
  -0.171841,
  -0.166620,
  -0.161399,
  -0.156177,
  -0.150955,
  -0.145732,
  -0.140508,
  -0.135284,
  -0.130059,
  -0.124834,
  -0.119609,
  -0.114383,
  -0.109156,
  -0.103929,
  -0.098702,
  -0.093474,
  -0.088246,
  -0.083018,
  -0.077789,
  -0.072560,
  -0.067331,
  -0.062101,
  -0.056871,
  -0.051641,
  -0.046411,
  -0.041181,
  -0.035950,
  -0.030720,
  -0.025489,
  -0.020258,
  -0.015027,
  -0.009796,
  -0.004565,
  0.000666,
  0.005897,
  0.011128,
  0.016359,
  0.021590,
  0.026821,
  0.032052,
  0.037282,
  0.042513,
  0.047743,
  0.052973,
  0.058203,
  0.063433,
  0.068662,
  0.073891,
  0.079120,
  0.084349,
  0.089577,
  0.094805,
  0.100033,
  0.105260,
  0.110487,
  0.115713,
  0.120939,
  0.126165,
  0.131390,
  0.136614,
  0.141838,
  0.147061,
  0.152284,
  0.157507,
  0.162728,
  0.167949,
  0.173170,
  0.178390,
  0.183609,
  0.188827,
  0.194045,
  0.199262,
  0.204478,
  0.209693,
  0.214908,
  0.220121,
  0.225334,
  0.230546,
  0.235758,
  0.240968,
  0.246177,
  0.251386,
  0.256593,
  0.261800,
  0.267005,
  0.272210,
  0.277413,
  0.282616,
  0.287817,
  0.293018,
  0.298217,
  0.303415,
  0.308612,
  0.313808,
  0.319002,
  0.324196,
  0.329388,
  0.334579,
  0.339768,
  0.344957,
  0.350144,
  0.355330,
  0.360514,
  0.365698,
  0.370879,
  0.376060,
  0.381239,
  0.386416,
  0.391592,
  0.396767,
  0.401940,
  0.407112,
  0.412282,
  0.417451,
  0.422618,
  0.427784,
  0.432948,
  0.438110,
  0.443271,
  0.448430,
  0.453588,
  0.458743,
  0.463898,
  0.469050,
  0.474201,
  0.479350,
  0.484497,
  0.489642,
  0.494786,
  0.499928,
  0.505068,
  0.510206,
  0.515343,
  0.520477,
  0.525610,
  0.530741,
  0.535869,
  0.540996,
  0.546121,
  0.551244,
  0.556365,
  0.561484,
  0.566601,
  0.571716,
  0.576829,
  0.581939,
  0.587048,
  0.592155,
  0.597259,
  0.602362,
  0.607462,
  0.612560,
  0.617656,
  0.622749,
  0.627841,
  0.632930,
  0.638017,
  0.643102,
  0.648185,
  0.653265,
  0.658343,
  0.663418,
  0.668492,
  0.673563,
  0.678631,
  0.683698,
  0.688762,
  0.693823,
  0.698882,
  0.703939,
  0.708993,
  0.714045,
  0.719094,
  0.724141,
  0.729185,
  0.734227,
  0.739266,
  0.744303,
  0.749337,
  0.754369,
  0.759398,
  0.764425,
  0.769449,
  0.774470,
  0.779489,
  0.784505,
  0.789518,
  0.794529,
  0.799537,
  0.804542,
  0.809545,
  0.814545,
  0.819542,
  0.824536,
  0.829528,
  0.834517,
  0.839503,
  0.844487,
  0.849467,
  0.854445,
  0.859420,
  0.864392,
  0.869361,
  0.874328,
  0.879291,
  0.884252,
  0.889210,
  0.894165,
  0.899117,
  0.904066,
  0.909012,
  0.913955,
  0.918895,
  0.923833,
  0.928767,
  0.933698,
  0.938627,
  0.943552,
  0.948474,
  0.953393,
  0.958310,
  0.963223,
  0.968133,
  0.973040,
  0.977944,
  0.982845,
  0.987743,
  0.992637,
  0.997529,
  1.002417,
  1.007303,
  1.012185,
  1.017064,
  1.021940,
  1.026812,
  1.031682,
  1.036548,
  1.041411,
  1.046271,
  1.051128,
  1.055981,
  1.060831,
  1.065678,
  1.070522,
  1.075363,
  1.080200,
  1.085034,
  1.089865,
  1.094692,
  1.099516,
  1.104337,
  1.109154,
  1.113968,
  1.118779,
  1.123587,
  1.128391,
  1.133192,
  1.137989,
  1.142783,
  1.147574,
  1.152362,
  1.157146,
  1.161926,
  1.166703,
  1.171477,
  1.176247,
  1.181014,
  1.185778,
  1.190538,
  1.195295,
  1.200048,
  1.204798,
  1.209544,
  1.214287,
  1.219026,
  1.223762,
  1.228495,
  1.233224,
  1.237949,
  1.242671,
  1.247390,
  1.252105,
  1.256816,
  1.261524,
  1.266229,
  1.270930,
  1.275627,
  1.280321,
  1.285011,
  1.289698,
  1.294381,
  1.299061,
  1.303737,
  1.308409,
  1.313078,
  1.317744,
  1.322405,
  1.327064,
  1.331718,
  1.336369,
  1.341017,
  1.345661,
  1.350301,
  1.354937,
  1.359571,
  1.364200,
  1.368826,
  1.373448,
  1.378066,
  1.382681,
  1.387293,
  1.391900,
  1.396504,
  1.401105,
  1.405701,
  1.410294,
  1.414884,
  1.419469,
  1.424052,
  1.428630,
  1.433205,
  1.437776,
  1.442343,
  1.446907,
  1.451467,
  1.456023,
  1.460576,
  1.465125,
  1.469670,
  1.474212,
  1.478750,
  1.483284,
  1.487815,
  1.492342,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491414,
  -1.486886,
  -1.482355,
  -1.477820,
  -1.473281,
  -1.468738,
  -1.464192,
  -1.459642,
  -1.455089,
  -1.450532,
  -1.445971,
  -1.441406,
  -1.436838,
  -1.432266,
  -1.427690,
  -1.423111,
  -1.418528,
  -1.413941,
  -1.409351,
  -1.404757,
  -1.400159,
  -1.395558,
  -1.390953,
  -1.386345,
  -1.381732,
  -1.377117,
  -1.372497,
  -1.367874,
  -1.363247,
  -1.358617,
  -1.353983,
  -1.349345,
  -1.344704,
  -1.340060,
  -1.335411,
  -1.330759,
  -1.326103,
  -1.321444,
  -1.316782,
  -1.312115,
  -1.307445,
  -1.302772,
  -1.298095,
  -1.293414,
  -1.288730,
  -1.284042,
  -1.279351,
  -1.274656,
  -1.269957,
  -1.265255,
  -1.260550,
  -1.255841,
  -1.251128,
  -1.246412,
  -1.241693,
  -1.236970,
  -1.232243,
  -1.227513,
  -1.222780,
  -1.218043,
  -1.213302,
  -1.208558,
  -1.203811,
  -1.199060,
  -1.194305,
  -1.189548,
  -1.184786,
  -1.180022,
  -1.175254,
  -1.170482,
  -1.165707,
  -1.160929,
  -1.156147,
  -1.151362,
  -1.146574,
  -1.141782,
  -1.136986,
  -1.132188,
  -1.127386,
  -1.122581,
  -1.117772,
  -1.112960,
  -1.108144,
  -1.103326,
  -1.098504,
  -1.093678,
  -1.088850,
  -1.084018,
  -1.079183,
  -1.074344,
  -1.069503,
  -1.064658,
  -1.059809,
  -1.054958,
  -1.050103,
  -1.045245,
  -1.040384,
  -1.035520,
  -1.030652,
  -1.025782,
  -1.020908,
  -1.016030,
  -1.011150,
  -1.006267,
  -1.001380,
  -0.996490,
  -0.991598,
  -0.986702,
  -0.981802,
  -0.976900,
  -0.971995,
  -0.967087,
  -0.962175,
  -0.957261,
  -0.952343,
  -0.947423,
  -0.942499,
  -0.937572,
  -0.932643,
  -0.927710,
  -0.922774,
  -0.917836,
  -0.912894,
  -0.907950,
  -0.903002,
  -0.898052,
  -0.893098,
  -0.888142,
  -0.883183,
  -0.878221,
  -0.873256,
  -0.868288,
  -0.863317,
  -0.858344,
  -0.853367,
  -0.848388,
  -0.843406,
  -0.838421,
  -0.833434,
  -0.828443,
  -0.823450,
  -0.818454,
  -0.813456,
  -0.808454,
  -0.803450,
  -0.798443,
  -0.793434,
  -0.788422,
  -0.783407,
  -0.778389,
  -0.773369,
  -0.768347,
  -0.763321,
  -0.758293,
  -0.753263,
  -0.748230,
  -0.743194,
  -0.738155,
  -0.733115,
  -0.728071,
  -0.723026,
  -0.717977,
  -0.712926,
  -0.707873,
  -0.702817,
  -0.697759,
  -0.692699,
  -0.687636,
  -0.682570,
  -0.677503,
  -0.672432,
  -0.667360,
  -0.662285,
  -0.657208,
  -0.652128,
  -0.647047,
  -0.641962,
  -0.636876,
  -0.631787,
  -0.626697,
  -0.621604,
  -0.616508,
  -0.611411,
  -0.606311,
  -0.601210,
  -0.596106,
  -0.591000,
  -0.585891,
  -0.580781,
  -0.575669,
  -0.570554,
  -0.565438,
  -0.560319,
  -0.555199,
  -0.550076,
  -0.544952,
  -0.539825,
  -0.534697,
  -0.529566,
  -0.524434,
  -0.519300,
  -0.514164,
  -0.509026,
  -0.503886,
  -0.498744,
  -0.493601,
  -0.488456,
  -0.483309,
  -0.478160,
  -0.473009,
  -0.467857,
  -0.462703,
  -0.457547,
  -0.452390,
  -0.447231,
  -0.442070,
  -0.436907,
  -0.431743,
  -0.426578,
  -0.421411,
  -0.416242,
  -0.411072,
  -0.405900,
  -0.400726,
  -0.395552,
  -0.390375,
  -0.385198,
  -0.380018,
  -0.374838,
  -0.369656,
  -0.364472,
  -0.359288,
  -0.354102,
  -0.348914,
  -0.343725,
  -0.338535,
  -0.333344,
  -0.328151,
  -0.322958,
  -0.317763,
  -0.312567,
  -0.307369,
  -0.302171,
  -0.296971,
  -0.291770,
  -0.286568,
  -0.281365,
  -0.276161,
  -0.270956,
  -0.265750,
  -0.260543,
  -0.255335,
  -0.250126,
  -0.244916,
  -0.239705,
  -0.234493,
  -0.229280,
  -0.224066,
  -0.218852,
  -0.213637,
  -0.208421,
  -0.203204,
  -0.197986,
  -0.192767,
  -0.187548,
  -0.182328,
  -0.177108,
  -0.171886,
  -0.166664,
  -0.161442,
  -0.156219,
  -0.150995,
  -0.145770,
  -0.140545,
  -0.135320,
  -0.130094,
  -0.124868,
  -0.119641,
  -0.114413,
  -0.109185,
  -0.103957,
  -0.098728,
  -0.093499,
  -0.088270,
  -0.083040,
  -0.077810,
  -0.072579,
  -0.067349,
  -0.062118,
  -0.056887,
  -0.051655,
  -0.046424,
  -0.041192,
  -0.035960,
  -0.030728,
  -0.025496,
  -0.020264,
  -0.015031,
  -0.009799,
  -0.004566,
  0.000666,
  0.005899,
  0.011131,
  0.016363,
  0.021596,
  0.026828,
  0.032060,
  0.037292,
  0.042524,
  0.047756,
  0.052987,
  0.058219,
  0.063450,
  0.068681,
  0.073911,
  0.079142,
  0.084372,
  0.089601,
  0.094831,
  0.100060,
  0.105288,
  0.110516,
  0.115744,
  0.120971,
  0.126198,
  0.131425,
  0.136651,
  0.141876,
  0.147101,
  0.152325,
  0.157549,
  0.162772,
  0.167994,
  0.173216,
  0.178437,
  0.183657,
  0.188877,
  0.194096,
  0.199314,
  0.204532,
  0.209749,
  0.214965,
  0.220180,
  0.225394,
  0.230607,
  0.235820,
  0.241032,
  0.246242,
  0.251452,
  0.256661,
  0.261869,
  0.267076,
  0.272282,
  0.277486,
  0.282690,
  0.287893,
  0.293094,
  0.298295,
  0.303494,
  0.308693,
  0.313890,
  0.319086,
  0.324280,
  0.329474,
  0.334666,
  0.339857,
  0.345047,
  0.350235,
  0.355422,
  0.360608,
  0.365792,
  0.370975,
  0.376157,
  0.381337,
  0.386516,
  0.391693,
  0.396869,
  0.402044,
  0.407217,
  0.412388,
  0.417558,
  0.422726,
  0.427893,
  0.433058,
  0.438222,
  0.443384,
  0.448544,
  0.453703,
  0.458860,
  0.464015,
  0.469169,
  0.474321,
  0.479471,
  0.484619,
  0.489766,
  0.494911,
  0.500054,
  0.505195,
  0.510334,
  0.515472,
  0.520607,
  0.525741,
  0.530873,
  0.536003,
  0.541131,
  0.546257,
  0.551381,
  0.556503,
  0.561623,
  0.566741,
  0.571857,
  0.576971,
  0.582082,
  0.587192,
  0.592300,
  0.597405,
  0.602509,
  0.607610,
  0.612709,
  0.617806,
  0.622901,
  0.627993,
  0.633083,
  0.638171,
  0.643257,
  0.648341,
  0.653422,
  0.658501,
  0.663577,
  0.668652,
  0.673723,
  0.678793,
  0.683860,
  0.688925,
  0.693987,
  0.699047,
  0.704105,
  0.709160,
  0.714213,
  0.719263,
  0.724311,
  0.729356,
  0.734398,
  0.739439,
  0.744476,
  0.749511,
  0.754544,
  0.759574,
  0.764601,
  0.769626,
  0.774648,
  0.779667,
  0.784684,
  0.789698,
  0.794710,
  0.799718,
  0.804725,
  0.809728,
  0.814729,
  0.819727,
  0.824722,
  0.829714,
  0.834704,
  0.839691,
  0.844675,
  0.849656,
  0.854635,
  0.859610,
  0.864583,
  0.869553,
  0.874520,
  0.879485,
  0.884446,
  0.889404,
  0.894360,
  0.899312,
  0.904262,
  0.909209,
  0.914153,
  0.919094,
  0.924031,
  0.928966,
  0.933898,
  0.938827,
  0.943753,
  0.948676,
  0.953596,
  0.958512,
  0.963426,
  0.968337,
  0.973244,
  0.978149,
  0.983050,
  0.987948,
  0.992844,
  0.997736,
  1.002625,
  1.007510,
  1.012393,
  1.017272,
  1.022149,
  1.027022,
  1.031892,
  1.036759,
  1.041622,
  1.046483,
  1.051340,
  1.056193,
  1.061044,
  1.065892,
  1.070736,
  1.075577,
  1.080414,
  1.085249,
  1.090080,
  1.094907,
  1.099732,
  1.104553,
  1.109371,
  1.114185,
  1.118997,
  1.123804,
  1.128609,
  1.133410,
  1.138208,
  1.143002,
  1.147793,
  1.152581,
  1.157365,
  1.162146,
  1.166923,
  1.171697,
  1.176468,
  1.181235,
  1.185999,
  1.190759,
  1.195516,
  1.200270,
  1.205020,
  1.209766,
  1.214509,
  1.219249,
  1.223985,
  1.228718,
  1.233447,
  1.238173,
  1.242895,
  1.247613,
  1.252329,
  1.257040,
  1.261748,
  1.266453,
  1.271154,
  1.275851,
  1.280545,
  1.285236,
  1.289923,
  1.294606,
  1.299286,
  1.303962,
  1.308635,
  1.313304,
  1.317969,
  1.322631,
  1.327289,
  1.331944,
  1.336595,
  1.341242,
  1.345886,
  1.350527,
  1.355163,
  1.359796,
  1.364426,
  1.369052,
  1.373674,
  1.378292,
  1.382907,
  1.387519,
  1.392126,
  1.396730,
  1.401330,
  1.405927,
  1.410520,
  1.415110,
  1.419695,
  1.424277,
  1.428856,
  1.433430,
  1.438001,
  1.442569,
  1.447132,
  1.451692,
  1.456249,
  1.460801,
  1.465350,
  1.469895,
  1.474437,
  1.478975,
  1.483509,
  1.488039,
  1.492566,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.491696,
  -1.487169,
  -1.482637,
  -1.478102,
  -1.473564,
  -1.469021,
  -1.464475,
  -1.459925,
  -1.455372,
  -1.450815,
  -1.446254,
  -1.441689,
  -1.437121,
  -1.432549,
  -1.427974,
  -1.423395,
  -1.418812,
  -1.414225,
  -1.409635,
  -1.405041,
  -1.400443,
  -1.395842,
  -1.391237,
  -1.386629,
  -1.382016,
  -1.377401,
  -1.372781,
  -1.368158,
  -1.363531,
  -1.358901,
  -1.354267,
  -1.349629,
  -1.344988,
  -1.340343,
  -1.335695,
  -1.331043,
  -1.326387,
  -1.321728,
  -1.317065,
  -1.312398,
  -1.307728,
  -1.303055,
  -1.298377,
  -1.293697,
  -1.289012,
  -1.284324,
  -1.279633,
  -1.274938,
  -1.270239,
  -1.265537,
  -1.260831,
  -1.256122,
  -1.251410,
  -1.246693,
  -1.241974,
  -1.237250,
  -1.232524,
  -1.227793,
  -1.223060,
  -1.218322,
  -1.213582,
  -1.208837,
  -1.204090,
  -1.199338,
  -1.194584,
  -1.189826,
  -1.185064,
  -1.180299,
  -1.175531,
  -1.170759,
  -1.165984,
  -1.161205,
  -1.156423,
  -1.151638,
  -1.146849,
  -1.142056,
  -1.137261,
  -1.132462,
  -1.127659,
  -1.122854,
  -1.118045,
  -1.113232,
  -1.108416,
  -1.103597,
  -1.098775,
  -1.093949,
  -1.089120,
  -1.084288,
  -1.079452,
  -1.074613,
  -1.069771,
  -1.064925,
  -1.060077,
  -1.055225,
  -1.050370,
  -1.045511,
  -1.040649,
  -1.035784,
  -1.030916,
  -1.026045,
  -1.021170,
  -1.016293,
  -1.011412,
  -1.006528,
  -1.001641,
  -0.996750,
  -0.991857,
  -0.986960,
  -0.982061,
  -0.977158,
  -0.972252,
  -0.967343,
  -0.962431,
  -0.957515,
  -0.952597,
  -0.947676,
  -0.942752,
  -0.937824,
  -0.932894,
  -0.927961,
  -0.923024,
  -0.918085,
  -0.913142,
  -0.908197,
  -0.903249,
  -0.898298,
  -0.893343,
  -0.888386,
  -0.883426,
  -0.878464,
  -0.873498,
  -0.868529,
  -0.863558,
  -0.858583,
  -0.853606,
  -0.848626,
  -0.843643,
  -0.838657,
  -0.833669,
  -0.828677,
  -0.823683,
  -0.818686,
  -0.813687,
  -0.808685,
  -0.803680,
  -0.798672,
  -0.793661,
  -0.788648,
  -0.783632,
  -0.778614,
  -0.773593,
  -0.768569,
  -0.763543,
  -0.758514,
  -0.753482,
  -0.748448,
  -0.743411,
  -0.738372,
  -0.733330,
  -0.728285,
  -0.723239,
  -0.718189,
  -0.713137,
  -0.708083,
  -0.703026,
  -0.697967,
  -0.692905,
  -0.687841,
  -0.682774,
  -0.677705,
  -0.672634,
  -0.667560,
  -0.662484,
  -0.657406,
  -0.652325,
  -0.647242,
  -0.642157,
  -0.637069,
  -0.631980,
  -0.626888,
  -0.621793,
  -0.616697,
  -0.611598,
  -0.606497,
  -0.601394,
  -0.596289,
  -0.591182,
  -0.586072,
  -0.580961,
  -0.575847,
  -0.570731,
  -0.565613,
  -0.560494,
  -0.555372,
  -0.550248,
  -0.545122,
  -0.539994,
  -0.534864,
  -0.529733,
  -0.524599,
  -0.519463,
  -0.514326,
  -0.509186,
  -0.504045,
  -0.498902,
  -0.493757,
  -0.488611,
  -0.483462,
  -0.478312,
  -0.473160,
  -0.468006,
  -0.462850,
  -0.457693,
  -0.452534,
  -0.447374,
  -0.442211,
  -0.437048,
  -0.431882,
  -0.426715,
  -0.421546,
  -0.416376,
  -0.411204,
  -0.406031,
  -0.400856,
  -0.395680,
  -0.390502,
  -0.385323,
  -0.380142,
  -0.374960,
  -0.369776,
  -0.364591,
  -0.359405,
  -0.354217,
  -0.349028,
  -0.343838,
  -0.338646,
  -0.333453,
  -0.328259,
  -0.323064,
  -0.317867,
  -0.312669,
  -0.307470,
  -0.302270,
  -0.297069,
  -0.291866,
  -0.286663,
  -0.281458,
  -0.276253,
  -0.271046,
  -0.265838,
  -0.260629,
  -0.255419,
  -0.250209,
  -0.244997,
  -0.239784,
  -0.234571,
  -0.229356,
  -0.224141,
  -0.218925,
  -0.213708,
  -0.208490,
  -0.203271,
  -0.198052,
  -0.192832,
  -0.187611,
  -0.182389,
  -0.177167,
  -0.171944,
  -0.166720,
  -0.161496,
  -0.156271,
  -0.151045,
  -0.145819,
  -0.140593,
  -0.135365,
  -0.130138,
  -0.124909,
  -0.119681,
  -0.114452,
  -0.109222,
  -0.103992,
  -0.098761,
  -0.093531,
  -0.088299,
  -0.083068,
  -0.077836,
  -0.072604,
  -0.067371,
  -0.062139,
  -0.056906,
  -0.051673,
  -0.046439,
  -0.041206,
  -0.035972,
  -0.030738,
  -0.025504,
  -0.020270,
  -0.015036,
  -0.009802,
  -0.004568,
  0.000666,
  0.005901,
  0.011135,
  0.016369,
  0.021603,
  0.026837,
  0.032071,
  0.037305,
  0.042538,
  0.047772,
  0.053005,
  0.058238,
  0.063471,
  0.068704,
  0.073936,
  0.079168,
  0.084400,
  0.089631,
  0.094862,
  0.100093,
  0.105324,
  0.110553,
  0.115783,
  0.121012,
  0.126241,
  0.131469,
  0.136696,
  0.141923,
  0.147150,
  0.152376,
  0.157601,
  0.162826,
  0.168050,
  0.173274,
  0.178497,
  0.183719,
  0.188940,
  0.194161,
  0.199381,
  0.204600,
  0.209819,
  0.215036,
  0.220253,
  0.225469,
  0.230684,
  0.235898,
  0.241112,
  0.246324,
  0.251536,
  0.256746,
  0.261956,
  0.267164,
  0.272372,
  0.277578,
  0.282784,
  0.287988,
  0.293191,
  0.298393,
  0.303594,
  0.308794,
  0.313993,
  0.319190,
  0.324387,
  0.329582,
  0.334776,
  0.339968,
  0.345159,
  0.350349,
  0.355538,
  0.360725,
  0.365911,
  0.371096,
  0.376279,
  0.381461,
  0.386641,
  0.391820,
  0.396998,
  0.402174,
  0.407348,
  0.412521,
  0.417693,
  0.422862,
  0.428031,
  0.433197,
  0.438363,
  0.443526,
  0.448688,
  0.453848,
  0.459006,
  0.464163,
  0.469318,
  0.474472,
  0.479623,
  0.484773,
  0.489921,
  0.495067,
  0.500212,
  0.505354,
  0.510495,
  0.515634,
  0.520771,
  0.525906,
  0.531039,
  0.536171,
  0.541300,
  0.546427,
  0.551553,
  0.556676,
  0.561797,
  0.566917,
  0.572034,
  0.577149,
  0.582262,
  0.587373,
  0.592482,
  0.597589,
  0.602694,
  0.607796,
  0.612897,
  0.617995,
  0.623091,
  0.628184,
  0.633276,
  0.638365,
  0.643452,
  0.648537,
  0.653619,
  0.658699,
  0.663777,
  0.668852,
  0.673926,
  0.678996,
  0.684065,
  0.689130,
  0.694194,
  0.699255,
  0.704314,
  0.709370,
  0.714424,
  0.719475,
  0.724524,
  0.729570,
  0.734614,
  0.739655,
  0.744694,
  0.749730,
  0.754763,
  0.759794,
  0.764823,
  0.769848,
  0.774871,
  0.779892,
  0.784910,
  0.789925,
  0.794937,
  0.799947,
  0.804954,
  0.809958,
  0.814960,
  0.819959,
  0.824955,
  0.829949,
  0.834939,
  0.839927,
  0.844912,
  0.849894,
  0.854873,
  0.859850,
  0.864824,
  0.869794,
  0.874762,
  0.879727,
  0.884690,
  0.889649,
  0.894605,
  0.899558,
  0.904509,
  0.909457,
  0.914401,
  0.919343,
  0.924281,
  0.929217,
  0.934150,
  0.939079,
  0.944006,
  0.948929,
  0.953850,
  0.958767,
  0.963682,
  0.968593,
  0.973501,
  0.978406,
  0.983308,
  0.988207,
  0.993103,
  0.997996,
  1.002885,
  1.007772,
  1.012655,
  1.017535,
  1.022412,
  1.027286,
  1.032156,
  1.037023,
  1.041888,
  1.046748,
  1.051606,
  1.056460,
  1.061312,
  1.066159,
  1.071004,
  1.075845,
  1.080684,
  1.085518,
  1.090350,
  1.095178,
  1.100003,
  1.104825,
  1.109643,
  1.114458,
  1.119269,
  1.124078,
  1.128883,
  1.133684,
  1.138482,
  1.143277,
  1.148068,
  1.152856,
  1.157641,
  1.162422,
  1.167200,
  1.171974,
  1.176745,
  1.181513,
  1.186277,
  1.191038,
  1.195795,
  1.200549,
  1.205299,
  1.210046,
  1.214789,
  1.219529,
  1.224265,
  1.228998,
  1.233727,
  1.238453,
  1.243176,
  1.247895,
  1.252610,
  1.257322,
  1.262030,
  1.266735,
  1.271436,
  1.276134,
  1.280828,
  1.285518,
  1.290205,
  1.294889,
  1.299569,
  1.304245,
  1.308918,
  1.313587,
  1.318252,
  1.322914,
  1.327573,
  1.332227,
  1.336879,
  1.341526,
  1.346170,
  1.350810,
  1.355447,
  1.360080,
  1.364710,
  1.369336,
  1.373958,
  1.378576,
  1.383191,
  1.387802,
  1.392410,
  1.397014,
  1.401614,
  1.406211,
  1.410804,
  1.415393,
  1.419979,
  1.424561,
  1.429139,
  1.433714,
  1.438285,
  1.442852,
  1.447416,
  1.451975,
  1.456532,
  1.461084,
  1.465633,
  1.470178,
  1.474720,
  1.479257,
  1.483791,
  1.488322,
  1.492848,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.492036,
  -1.487509,
  -1.482978,
  -1.478443,
  -1.473904,
  -1.469362,
  -1.464816,
  -1.460266,
  -1.455713,
  -1.451156,
  -1.446595,
  -1.442031,
  -1.437463,
  -1.432891,
  -1.428316,
  -1.423736,
  -1.419153,
  -1.414567,
  -1.409977,
  -1.405383,
  -1.400785,
  -1.396184,
  -1.391579,
  -1.386971,
  -1.382358,
  -1.377743,
  -1.373123,
  -1.368500,
  -1.363873,
  -1.359243,
  -1.354609,
  -1.349971,
  -1.345330,
  -1.340685,
  -1.336036,
  -1.331384,
  -1.326728,
  -1.322069,
  -1.317406,
  -1.312739,
  -1.308069,
  -1.303395,
  -1.298718,
  -1.294037,
  -1.289353,
  -1.284665,
  -1.279973,
  -1.275278,
  -1.270579,
  -1.265877,
  -1.261171,
  -1.256461,
  -1.251748,
  -1.247032,
  -1.242312,
  -1.237588,
  -1.232861,
  -1.228131,
  -1.223397,
  -1.218659,
  -1.213918,
  -1.209174,
  -1.204426,
  -1.199674,
  -1.194919,
  -1.190161,
  -1.185399,
  -1.180634,
  -1.175865,
  -1.171093,
  -1.166317,
  -1.161538,
  -1.156755,
  -1.151969,
  -1.147180,
  -1.142387,
  -1.137591,
  -1.132792,
  -1.127989,
  -1.123183,
  -1.118373,
  -1.113560,
  -1.108744,
  -1.103924,
  -1.099101,
  -1.094275,
  -1.089445,
  -1.084613,
  -1.079776,
  -1.074937,
  -1.070094,
  -1.065248,
  -1.060399,
  -1.055546,
  -1.050690,
  -1.045831,
  -1.040969,
  -1.036103,
  -1.031234,
  -1.026362,
  -1.021487,
  -1.016609,
  -1.011727,
  -1.006842,
  -1.001955,
  -0.997063,
  -0.992169,
  -0.987272,
  -0.982371,
  -0.977468,
  -0.972561,
  -0.967651,
  -0.962738,
  -0.957822,
  -0.952903,
  -0.947981,
  -0.943056,
  -0.938128,
  -0.933196,
  -0.928262,
  -0.923325,
  -0.918385,
  -0.913441,
  -0.908495,
  -0.903546,
  -0.898594,
  -0.893639,
  -0.888681,
  -0.883720,
  -0.878756,
  -0.873789,
  -0.868819,
  -0.863847,
  -0.858871,
  -0.853893,
  -0.848912,
  -0.843928,
  -0.838941,
  -0.833952,
  -0.828959,
  -0.823964,
  -0.818966,
  -0.813965,
  -0.808962,
  -0.803956,
  -0.798947,
  -0.793935,
  -0.788921,
  -0.783904,
  -0.778884,
  -0.773862,
  -0.768837,
  -0.763809,
  -0.758779,
  -0.753746,
  -0.748711,
  -0.743673,
  -0.738632,
  -0.733589,
  -0.728543,
  -0.723495,
  -0.718444,
  -0.713391,
  -0.708336,
  -0.703277,
  -0.698217,
  -0.693154,
  -0.688088,
  -0.683020,
  -0.677950,
  -0.672877,
  -0.667802,
  -0.662725,
  -0.657645,
  -0.652563,
  -0.647478,
  -0.642392,
  -0.637303,
  -0.632211,
  -0.627118,
  -0.622022,
  -0.616924,
  -0.611824,
  -0.606721,
  -0.601617,
  -0.596510,
  -0.591401,
  -0.586290,
  -0.581177,
  -0.576062,
  -0.570944,
  -0.565825,
  -0.560703,
  -0.555580,
  -0.550454,
  -0.545327,
  -0.540198,
  -0.535066,
  -0.529933,
  -0.524797,
  -0.519660,
  -0.514521,
  -0.509380,
  -0.504237,
  -0.499092,
  -0.493946,
  -0.488797,
  -0.483647,
  -0.478495,
  -0.473341,
  -0.468186,
  -0.463028,
  -0.457869,
  -0.452709,
  -0.447546,
  -0.442382,
  -0.437217,
  -0.432049,
  -0.426880,
  -0.421710,
  -0.416538,
  -0.411364,
  -0.406189,
  -0.401012,
  -0.395834,
  -0.390654,
  -0.385473,
  -0.380291,
  -0.375106,
  -0.369921,
  -0.364734,
  -0.359546,
  -0.354356,
  -0.349165,
  -0.343973,
  -0.338780,
  -0.333585,
  -0.328389,
  -0.323191,
  -0.317993,
  -0.312793,
  -0.307592,
  -0.302390,
  -0.297187,
  -0.291982,
  -0.286777,
  -0.281570,
  -0.276363,
  -0.271154,
  -0.265944,
  -0.260733,
  -0.255521,
  -0.250309,
  -0.245095,
  -0.239880,
  -0.234665,
  -0.229448,
  -0.224231,
  -0.219013,
  -0.213794,
  -0.208574,
  -0.203353,
  -0.198132,
  -0.192909,
  -0.187686,
  -0.182463,
  -0.177238,
  -0.172013,
  -0.166787,
  -0.161561,
  -0.156334,
  -0.151106,
  -0.145878,
  -0.140649,
  -0.135420,
  -0.130190,
  -0.124960,
  -0.119729,
  -0.114498,
  -0.109266,
  -0.104034,
  -0.098801,
  -0.093568,
  -0.088335,
  -0.083102,
  -0.077868,
  -0.072633,
  -0.067399,
  -0.062164,
  -0.056929,
  -0.051694,
  -0.046458,
  -0.041223,
  -0.035987,
  -0.030751,
  -0.025515,
  -0.020279,
  -0.015042,
  -0.009806,
  -0.004570,
  0.000667,
  0.005903,
  0.011139,
  0.016376,
  0.021612,
  0.026848,
  0.032084,
  0.037320,
  0.042556,
  0.047791,
  0.053027,
  0.058262,
  0.063497,
  0.068732,
  0.073966,
  0.079200,
  0.084434,
  0.089668,
  0.094901,
  0.100134,
  0.105366,
  0.110598,
  0.115830,
  0.121061,
  0.126292,
  0.131522,
  0.136752,
  0.141981,
  0.147209,
  0.152437,
  0.157665,
  0.162892,
  0.168118,
  0.173344,
  0.178568,
  0.183793,
  0.189016,
  0.194239,
  0.199461,
  0.204682,
  0.209903,
  0.215122,
  0.220341,
  0.225559,
  0.230777,
  0.235993,
  0.241208,
  0.246423,
  0.251636,
  0.256849,
  0.262060,
  0.267271,
  0.272480,
  0.277689,
  0.282896,
  0.288102,
  0.293308,
  0.298512,
  0.303715,
  0.308916,
  0.314117,
  0.319317,
  0.324515,
  0.329712,
  0.334908,
  0.340102,
  0.345295,
  0.350487,
  0.355678,
  0.360867,
  0.366055,
  0.371241,
  0.376427,
  0.381610,
  0.386792,
  0.391973,
  0.397153,
  0.402330,
  0.407507,
  0.412681,
  0.417855,
  0.423026,
  0.428197,
  0.433365,
  0.438532,
  0.443697,
  0.448861,
  0.454023,
  0.459183,
  0.464342,
  0.469498,
  0.474653,
  0.479807,
  0.484958,
  0.490108,
  0.495256,
  0.500402,
  0.505547,
  0.510689,
  0.515830,
  0.520968,
  0.526105,
  0.531240,
  0.536373,
  0.541504,
  0.546633,
  0.551760,
  0.556885,
  0.562008,
  0.567129,
  0.572247,
  0.577364,
  0.582479,
  0.587592,
  0.592702,
  0.597810,
  0.602917,
  0.608021,
  0.613122,
  0.618222,
  0.623320,
  0.628415,
  0.633508,
  0.638598,
  0.643687,
  0.648773,
  0.653857,
  0.658938,
  0.664018,
  0.669094,
  0.674169,
  0.679241,
  0.684311,
  0.689378,
  0.694443,
  0.699505,
  0.704565,
  0.709623,
  0.714678,
  0.719731,
  0.724781,
  0.729828,
  0.734873,
  0.739916,
  0.744956,
  0.749993,
  0.755028,
  0.760060,
  0.765090,
  0.770117,
  0.775141,
  0.780163,
  0.785182,
  0.790198,
  0.795212,
  0.800223,
  0.805231,
  0.810236,
  0.815239,
  0.820239,
  0.825236,
  0.830231,
  0.835222,
  0.840211,
  0.845197,
  0.850181,
  0.855161,
  0.860138,
  0.865113,
  0.870085,
  0.875054,
  0.880020,
  0.884983,
  0.889943,
  0.894901,
  0.899855,
  0.904806,
  0.909755,
  0.914700,
  0.919643,
  0.924582,
  0.929519,
  0.934452,
  0.939383,
  0.944310,
  0.949235,
  0.954156,
  0.959074,
  0.963990,
  0.968902,
  0.973811,
  0.978717,
  0.983619,
  0.988519,
  0.993416,
  0.998309,
  1.003199,
  1.008087,
  1.012970,
  1.017851,
  1.022729,
  1.027603,
  1.032474,
  1.037342,
  1.042207,
  1.047069,
  1.051927,
  1.056782,
  1.061634,
  1.066482,
  1.071327,
  1.076169,
  1.081008,
  1.085843,
  1.090675,
  1.095504,
  1.100330,
  1.105152,
  1.109971,
  1.114786,
  1.119598,
  1.124407,
  1.129212,
  1.134014,
  1.138813,
  1.143608,
  1.148400,
  1.153188,
  1.157973,
  1.162755,
  1.167533,
  1.172308,
  1.177079,
  1.181847,
  1.186612,
  1.191373,
  1.196130,
  1.200884,
  1.205635,
  1.210382,
  1.215126,
  1.219866,
  1.224602,
  1.229336,
  1.234065,
  1.238791,
  1.243514,
  1.248233,
  1.252949,
  1.257661,
  1.262369,
  1.267074,
  1.271776,
  1.276474,
  1.281168,
  1.285859,
  1.290546,
  1.295229,
  1.299909,
  1.304586,
  1.309259,
  1.313928,
  1.318594,
  1.323256,
  1.327914,
  1.332569,
  1.337220,
  1.341868,
  1.346512,
  1.351152,
  1.355789,
  1.360422,
  1.365052,
  1.369677,
  1.374300,
  1.378918,
  1.383533,
  1.388144,
  1.392752,
  1.397356,
  1.401956,
  1.406553,
  1.411146,
  1.415735,
  1.420321,
  1.424903,
  1.429481,
  1.434055,
  1.438626,
  1.443193,
  1.447757,
  1.452317,
  1.456873,
  1.461425,
  1.465974,
  1.470519,
  1.475060,
  1.479598,
  1.484131,
  1.488662,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.492434,
  -1.487906,
  -1.483375,
  -1.478841,
  -1.474303,
  -1.469760,
  -1.465215,
  -1.460665,
  -1.456112,
  -1.451555,
  -1.446995,
  -1.442430,
  -1.437862,
  -1.433290,
  -1.428715,
  -1.424136,
  -1.419553,
  -1.414967,
  -1.410377,
  -1.405783,
  -1.401185,
  -1.396584,
  -1.391979,
  -1.387371,
  -1.382758,
  -1.378143,
  -1.373523,
  -1.368900,
  -1.364273,
  -1.359643,
  -1.355009,
  -1.350371,
  -1.345730,
  -1.341084,
  -1.336436,
  -1.331784,
  -1.327128,
  -1.322468,
  -1.317805,
  -1.313138,
  -1.308468,
  -1.303794,
  -1.299117,
  -1.294436,
  -1.289751,
  -1.285063,
  -1.280371,
  -1.275675,
  -1.270976,
  -1.266274,
  -1.261568,
  -1.256858,
  -1.252145,
  -1.247428,
  -1.242708,
  -1.237984,
  -1.233256,
  -1.228526,
  -1.223791,
  -1.219053,
  -1.214312,
  -1.209567,
  -1.204819,
  -1.200067,
  -1.195311,
  -1.190553,
  -1.185790,
  -1.181025,
  -1.176255,
  -1.171483,
  -1.166707,
  -1.161927,
  -1.157144,
  -1.152358,
  -1.147568,
  -1.142775,
  -1.137978,
  -1.133178,
  -1.128375,
  -1.123568,
  -1.118758,
  -1.113944,
  -1.109127,
  -1.104307,
  -1.099483,
  -1.094657,
  -1.089826,
  -1.084993,
  -1.080156,
  -1.075316,
  -1.070472,
  -1.065626,
  -1.060775,
  -1.055922,
  -1.051066,
  -1.046206,
  -1.041343,
  -1.036476,
  -1.031607,
  -1.026734,
  -1.021858,
  -1.016979,
  -1.012096,
  -1.007211,
  -1.002322,
  -0.997430,
  -0.992535,
  -0.987637,
  -0.982735,
  -0.977831,
  -0.972923,
  -0.968012,
  -0.963098,
  -0.958182,
  -0.953261,
  -0.948338,
  -0.943412,
  -0.938483,
  -0.933551,
  -0.928615,
  -0.923677,
  -0.918736,
  -0.913791,
  -0.908844,
  -0.903894,
  -0.898940,
  -0.893984,
  -0.889025,
  -0.884063,
  -0.879098,
  -0.874130,
  -0.869159,
  -0.864185,
  -0.859209,
  -0.854229,
  -0.849247,
  -0.844262,
  -0.839274,
  -0.834283,
  -0.829289,
  -0.824293,
  -0.819293,
  -0.814291,
  -0.809287,
  -0.804279,
  -0.799269,
  -0.794256,
  -0.789240,
  -0.784222,
  -0.779201,
  -0.774177,
  -0.769151,
  -0.764122,
  -0.759090,
  -0.754056,
  -0.749019,
  -0.743979,
  -0.738937,
  -0.733893,
  -0.728845,
  -0.723796,
  -0.718743,
  -0.713689,
  -0.708631,
  -0.703572,
  -0.698509,
  -0.693445,
  -0.688378,
  -0.683308,
  -0.678236,
  -0.673162,
  -0.668085,
  -0.663006,
  -0.657924,
  -0.652841,
  -0.647754,
  -0.642666,
  -0.637575,
  -0.632482,
  -0.627387,
  -0.622289,
  -0.617190,
  -0.612088,
  -0.606983,
  -0.601877,
  -0.596768,
  -0.591658,
  -0.586545,
  -0.581430,
  -0.576313,
  -0.571194,
  -0.566072,
  -0.560949,
  -0.555824,
  -0.550696,
  -0.545567,
  -0.540436,
  -0.535302,
  -0.530167,
  -0.525030,
  -0.519890,
  -0.514749,
  -0.509606,
  -0.504461,
  -0.499315,
  -0.494166,
  -0.489016,
  -0.483863,
  -0.478709,
  -0.473553,
  -0.468396,
  -0.463237,
  -0.458075,
  -0.452913,
  -0.447748,
  -0.442582,
  -0.437414,
  -0.432245,
  -0.427074,
  -0.421901,
  -0.416727,
  -0.411551,
  -0.406374,
  -0.401195,
  -0.396015,
  -0.390833,
  -0.385649,
  -0.380465,
  -0.375278,
  -0.370091,
  -0.364902,
  -0.359711,
  -0.354519,
  -0.349326,
  -0.344132,
  -0.338936,
  -0.333739,
  -0.328541,
  -0.323341,
  -0.318140,
  -0.312938,
  -0.307735,
  -0.302530,
  -0.297325,
  -0.292118,
  -0.286910,
  -0.281701,
  -0.276491,
  -0.271280,
  -0.266068,
  -0.260855,
  -0.255641,
  -0.250426,
  -0.245210,
  -0.239993,
  -0.234775,
  -0.229556,
  -0.224336,
  -0.219115,
  -0.213894,
  -0.208672,
  -0.203449,
  -0.198225,
  -0.193000,
  -0.187775,
  -0.182549,
  -0.177322,
  -0.172094,
  -0.166866,
  -0.161637,
  -0.156408,
  -0.151178,
  -0.145947,
  -0.140716,
  -0.135484,
  -0.130252,
  -0.125019,
  -0.119786,
  -0.114552,
  -0.109318,
  -0.104083,
  -0.098848,
  -0.093613,
  -0.088377,
  -0.083141,
  -0.077905,
  -0.072668,
  -0.067431,
  -0.062194,
  -0.056956,
  -0.051718,
  -0.046480,
  -0.041242,
  -0.036004,
  -0.030765,
  -0.025527,
  -0.020288,
  -0.015050,
  -0.009811,
  -0.004572,
  0.000667,
  0.005906,
  0.011145,
  0.016383,
  0.021622,
  0.026861,
  0.032099,
  0.037338,
  0.042576,
  0.047814,
  0.053052,
  0.058290,
  0.063527,
  0.068764,
  0.074001,
  0.079238,
  0.084474,
  0.089710,
  0.094946,
  0.100181,
  0.105416,
  0.110651,
  0.115885,
  0.121118,
  0.126351,
  0.131584,
  0.136816,
  0.142048,
  0.147279,
  0.152509,
  0.157739,
  0.162969,
  0.168197,
  0.173425,
  0.178653,
  0.183879,
  0.189105,
  0.194330,
  0.199555,
  0.204779,
  0.210001,
  0.215224,
  0.220445,
  0.225665,
  0.230885,
  0.236103,
  0.241321,
  0.246538,
  0.251754,
  0.256969,
  0.262182,
  0.267395,
  0.272607,
  0.277818,
  0.283028,
  0.288236,
  0.293444,
  0.298650,
  0.303856,
  0.309060,
  0.314263,
  0.319464,
  0.324665,
  0.329864,
  0.335062,
  0.340259,
  0.345454,
  0.350649,
  0.355841,
  0.361033,
  0.366223,
  0.371412,
  0.376599,
  0.381785,
  0.386969,
  0.392152,
  0.397334,
  0.402514,
  0.407692,
  0.412869,
  0.418045,
  0.423218,
  0.428391,
  0.433561,
  0.438730,
  0.443898,
  0.449063,
  0.454227,
  0.459390,
  0.464550,
  0.469709,
  0.474866,
  0.480022,
  0.485175,
  0.490327,
  0.495477,
  0.500625,
  0.505772,
  0.510916,
  0.516059,
  0.521199,
  0.526338,
  0.531475,
  0.536609,
  0.541742,
  0.546873,
  0.552002,
  0.557129,
  0.562254,
  0.567377,
  0.572497,
  0.577616,
  0.582733,
  0.587847,
  0.592959,
  0.598069,
  0.603177,
  0.608283,
  0.613387,
  0.618488,
  0.623588,
  0.628685,
  0.633779,
  0.638872,
  0.643962,
  0.649050,
  0.654135,
  0.659218,
  0.664299,
  0.669378,
  0.674454,
  0.679528,
  0.684599,
  0.689668,
  0.694734,
  0.699798,
  0.704860,
  0.709919,
  0.714976,
  0.720030,
  0.725082,
  0.730131,
  0.735177,
  0.740221,
  0.745263,
  0.750302,
  0.755338,
  0.760371,
  0.765402,
  0.770431,
  0.775456,
  0.780479,
  0.785500,
  0.790518,
  0.795533,
  0.800545,
  0.805554,
  0.810561,
  0.815565,
  0.820567,
  0.825565,
  0.830561,
  0.835554,
  0.840544,
  0.845531,
  0.850516,
  0.855497,
  0.860476,
  0.865452,
  0.870425,
  0.875395,
  0.880362,
  0.885327,
  0.890288,
  0.895246,
  0.900202,
  0.905154,
  0.910104,
  0.915051,
  0.919994,
  0.924935,
  0.929872,
  0.934807,
  0.939738,
  0.944667,
  0.949592,
  0.954514,
  0.959434,
  0.964350,
  0.969263,
  0.974173,
  0.979080,
  0.983983,
  0.988884,
  0.993782,
  0.998676,
  1.003567,
  1.008455,
  1.013340,
  1.018221,
  1.023100,
  1.027975,
  1.032847,
  1.037716,
  1.042581,
  1.047443,
  1.052302,
  1.057158,
  1.062011,
  1.066860,
  1.071706,
  1.076548,
  1.081388,
  1.086224,
  1.091057,
  1.095886,
  1.100712,
  1.105535,
  1.110354,
  1.115170,
  1.119983,
  1.124792,
  1.129598,
  1.134401,
  1.139200,
  1.143996,
  1.148788,
  1.153577,
  1.158362,
  1.163144,
  1.167923,
  1.172698,
  1.177470,
  1.182238,
  1.187003,
  1.191765,
  1.196523,
  1.201277,
  1.206028,
  1.210775,
  1.215520,
  1.220260,
  1.224997,
  1.229730,
  1.234460,
  1.239187,
  1.243910,
  1.248629,
  1.253345,
  1.258057,
  1.262766,
  1.267471,
  1.272173,
  1.276871,
  1.281566,
  1.286257,
  1.290944,
  1.295628,
  1.300308,
  1.304985,
  1.309658,
  1.314327,
  1.318993,
  1.323655,
  1.328313,
  1.332968,
  1.337620,
  1.342268,
  1.346912,
  1.351552,
  1.356189,
  1.360822,
  1.365452,
  1.370077,
  1.374700,
  1.379318,
  1.383933,
  1.388544,
  1.393152,
  1.397756,
  1.402356,
  1.406953,
  1.411546,
  1.416135,
  1.420720,
  1.425302,
  1.429880,
  1.434455,
  1.439026,
  1.443593,
  1.448156,
  1.452716,
  1.457272,
  1.461824,
  1.466372,
  1.470917,
  1.475458,
  1.479996,
  1.484529,
  1.489059,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.492889,
  -1.488362,
  -1.483831,
  -1.479297,
  -1.474759,
  -1.470217,
  -1.465671,
  -1.461122,
  -1.456569,
  -1.452012,
  -1.447452,
  -1.442888,
  -1.438320,
  -1.433748,
  -1.429173,
  -1.424594,
  -1.420011,
  -1.415425,
  -1.410835,
  -1.406241,
  -1.401644,
  -1.397042,
  -1.392437,
  -1.387829,
  -1.383217,
  -1.378601,
  -1.373981,
  -1.369358,
  -1.364731,
  -1.360101,
  -1.355467,
  -1.350829,
  -1.346187,
  -1.341542,
  -1.336894,
  -1.332241,
  -1.327585,
  -1.322926,
  -1.318262,
  -1.313596,
  -1.308925,
  -1.304251,
  -1.299573,
  -1.294892,
  -1.290207,
  -1.285518,
  -1.280826,
  -1.276131,
  -1.271431,
  -1.266729,
  -1.262022,
  -1.257312,
  -1.252599,
  -1.247882,
  -1.243161,
  -1.238437,
  -1.233709,
  -1.228978,
  -1.224243,
  -1.219505,
  -1.214763,
  -1.210018,
  -1.205269,
  -1.200517,
  -1.195761,
  -1.191002,
  -1.186239,
  -1.181473,
  -1.176703,
  -1.171930,
  -1.167153,
  -1.162373,
  -1.157590,
  -1.152803,
  -1.148012,
  -1.143218,
  -1.138421,
  -1.133621,
  -1.128816,
  -1.124009,
  -1.119198,
  -1.114384,
  -1.109567,
  -1.104746,
  -1.099921,
  -1.095094,
  -1.090263,
  -1.085428,
  -1.080591,
  -1.075750,
  -1.070906,
  -1.066058,
  -1.061207,
  -1.056353,
  -1.051496,
  -1.046635,
  -1.041771,
  -1.036904,
  -1.032033,
  -1.027159,
  -1.022283,
  -1.017402,
  -1.012519,
  -1.007632,
  -1.002743,
  -0.997850,
  -0.992954,
  -0.988054,
  -0.983152,
  -0.978246,
  -0.973338,
  -0.968426,
  -0.963511,
  -0.958593,
  -0.953672,
  -0.948748,
  -0.943820,
  -0.938890,
  -0.933956,
  -0.929020,
  -0.924080,
  -0.919138,
  -0.914192,
  -0.909244,
  -0.904292,
  -0.899338,
  -0.894380,
  -0.889420,
  -0.884456,
  -0.879490,
  -0.874521,
  -0.869548,
  -0.864573,
  -0.859595,
  -0.854614,
  -0.849631,
  -0.844644,
  -0.839655,
  -0.834662,
  -0.829667,
  -0.824669,
  -0.819669,
  -0.814665,
  -0.809659,
  -0.804650,
  -0.799638,
  -0.794623,
  -0.789606,
  -0.784586,
  -0.779564,
  -0.774538,
  -0.769510,
  -0.764480,
  -0.759446,
  -0.754410,
  -0.749372,
  -0.744330,
  -0.739287,
  -0.734240,
  -0.729191,
  -0.724140,
  -0.719086,
  -0.714029,
  -0.708970,
  -0.703909,
  -0.698845,
  -0.693778,
  -0.688709,
  -0.683638,
  -0.678564,
  -0.673488,
  -0.668409,
  -0.663328,
  -0.658245,
  -0.653159,
  -0.648071,
  -0.642981,
  -0.637888,
  -0.632793,
  -0.627696,
  -0.622596,
  -0.617494,
  -0.612390,
  -0.607284,
  -0.602176,
  -0.597065,
  -0.591952,
  -0.586837,
  -0.581720,
  -0.576601,
  -0.571480,
  -0.566356,
  -0.561231,
  -0.556103,
  -0.550974,
  -0.545842,
  -0.540709,
  -0.535573,
  -0.530435,
  -0.525296,
  -0.520154,
  -0.515011,
  -0.509866,
  -0.504719,
  -0.499570,
  -0.494419,
  -0.489266,
  -0.484111,
  -0.478955,
  -0.473797,
  -0.468637,
  -0.463475,
  -0.458312,
  -0.453147,
  -0.447980,
  -0.442811,
  -0.437641,
  -0.432469,
  -0.427296,
  -0.422121,
  -0.416944,
  -0.411766,
  -0.406586,
  -0.401405,
  -0.396222,
  -0.391037,
  -0.385851,
  -0.380664,
  -0.375475,
  -0.370285,
  -0.365094,
  -0.359901,
  -0.354706,
  -0.349511,
  -0.344313,
  -0.339115,
  -0.333915,
  -0.328714,
  -0.323512,
  -0.318309,
  -0.313104,
  -0.307898,
  -0.302691,
  -0.297483,
  -0.292274,
  -0.287063,
  -0.281852,
  -0.276639,
  -0.271425,
  -0.266210,
  -0.260995,
  -0.255778,
  -0.250560,
  -0.245341,
  -0.240121,
  -0.234901,
  -0.229679,
  -0.224457,
  -0.219233,
  -0.214009,
  -0.208784,
  -0.203558,
  -0.198332,
  -0.193104,
  -0.187876,
  -0.182647,
  -0.177418,
  -0.172187,
  -0.166956,
  -0.161725,
  -0.156492,
  -0.151260,
  -0.146026,
  -0.140792,
  -0.135558,
  -0.130322,
  -0.125087,
  -0.119851,
  -0.114614,
  -0.109377,
  -0.104140,
  -0.098902,
  -0.093664,
  -0.088425,
  -0.083186,
  -0.077947,
  -0.072707,
  -0.067467,
  -0.062227,
  -0.056987,
  -0.051746,
  -0.046506,
  -0.041265,
  -0.036023,
  -0.030782,
  -0.025541,
  -0.020299,
  -0.015058,
  -0.009816,
  -0.004574,
  0.000667,
  0.005909,
  0.011151,
  0.016392,
  0.021634,
  0.026875,
  0.032117,
  0.037358,
  0.042599,
  0.047840,
  0.053081,
  0.058321,
  0.063562,
  0.068802,
  0.074041,
  0.079281,
  0.084520,
  0.089759,
  0.094997,
  0.100236,
  0.105473,
  0.110711,
  0.115948,
  0.121184,
  0.126420,
  0.131655,
  0.136890,
  0.142125,
  0.147359,
  0.152592,
  0.157825,
  0.163057,
  0.168288,
  0.173519,
  0.178749,
  0.183979,
  0.189207,
  0.194435,
  0.199662,
  0.204889,
  0.210114,
  0.215339,
  0.220563,
  0.225786,
  0.231009,
  0.236230,
  0.241450,
  0.246670,
  0.251889,
  0.257106,
  0.262323,
  0.267538,
  0.272753,
  0.277966,
  0.283179,
  0.288390,
  0.293600,
  0.298809,
  0.304017,
  0.309224,
  0.314429,
  0.319634,
  0.324837,
  0.330039,
  0.335239,
  0.340439,
  0.345637,
  0.350834,
  0.356029,
  0.361223,
  0.366416,
  0.371607,
  0.376797,
  0.381985,
  0.387172,
  0.392357,
  0.397541,
  0.402724,
  0.407905,
  0.413084,
  0.418262,
  0.423438,
  0.428613,
  0.433786,
  0.438958,
  0.444127,
  0.449295,
  0.454462,
  0.459627,
  0.464790,
  0.469951,
  0.475110,
  0.480268,
  0.485424,
  0.490578,
  0.495730,
  0.500881,
  0.506029,
  0.511176,
  0.516321,
  0.521464,
  0.526605,
  0.531744,
  0.536881,
  0.542016,
  0.547149,
  0.552280,
  0.557409,
  0.562536,
  0.567661,
  0.572784,
  0.577905,
  0.583023,
  0.588140,
  0.593254,
  0.598366,
  0.603476,
  0.608584,
  0.613690,
  0.618793,
  0.623895,
  0.628994,
  0.634090,
  0.639185,
  0.644277,
  0.649367,
  0.654454,
  0.659539,
  0.664622,
  0.669702,
  0.674780,
  0.679856,
  0.684929,
  0.690000,
  0.695068,
  0.700134,
  0.705198,
  0.710259,
  0.715317,
  0.720373,
  0.725426,
  0.730477,
  0.735525,
  0.740571,
  0.745614,
  0.750655,
  0.755693,
  0.760728,
  0.765761,
  0.770791,
  0.775818,
  0.780843,
  0.785865,
  0.790884,
  0.795900,
  0.800914,
  0.805925,
  0.810934,
  0.815939,
  0.820942,
  0.825942,
  0.830939,
  0.835934,
  0.840925,
  0.845914,
  0.850900,
  0.855883,
  0.860863,
  0.865840,
  0.870815,
  0.875786,
  0.880755,
  0.885720,
  0.890683,
  0.895643,
  0.900599,
  0.905553,
  0.910504,
  0.915452,
  0.920397,
  0.925338,
  0.930277,
  0.935213,
  0.940145,
  0.945075,
  0.950002,
  0.954925,
  0.959845,
  0.964763,
  0.969677,
  0.974588,
  0.979496,
  0.984401,
  0.989302,
  0.994201,
  0.999096,
  1.003988,
  1.008877,
  1.013763,
  1.018645,
  1.023525,
  1.028401,
  1.033274,
  1.038143,
  1.043010,
  1.047873,
  1.052733,
  1.057589,
  1.062443,
  1.067293,
  1.072139,
  1.076983,
  1.081823,
  1.086660,
  1.091493,
  1.096323,
  1.101150,
  1.105973,
  1.110793,
  1.115610,
  1.120424,
  1.125234,
  1.130040,
  1.134843,
  1.139643,
  1.144439,
  1.149232,
  1.154022,
  1.158808,
  1.163590,
  1.168370,
  1.173145,
  1.177918,
  1.182686,
  1.187452,
  1.192214,
  1.196972,
  1.201727,
  1.206478,
  1.211226,
  1.215971,
  1.220712,
  1.225449,
  1.230183,
  1.234913,
  1.239640,
  1.244363,
  1.249083,
  1.253799,
  1.258512,
  1.263221,
  1.267926,
  1.272628,
  1.277327,
  1.282021,
  1.286713,
  1.291400,
  1.296084,
  1.300765,
  1.305441,
  1.310115,
  1.314784,
  1.319450,
  1.324112,
  1.328771,
  1.333426,
  1.338078,
  1.342725,
  1.347370,
  1.352010,
  1.356647,
  1.361280,
  1.365910,
  1.370536,
  1.375158,
  1.379777,
  1.384391,
  1.389003,
  1.393610,
  1.398214,
  1.402814,
  1.407411,
  1.412004,
  1.416593,
  1.421178,
  1.425760,
  1.430338,
  1.434912,
  1.439483,
  1.444050,
  1.448613,
  1.453173,
  1.457729,
  1.462281,
  1.466829,
  1.471374,
  1.475915,
  1.480452,
  1.484985,
  1.489515,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.488875,
  -1.484345,
  -1.479811,
  -1.475273,
  -1.470731,
  -1.466186,
  -1.461637,
  -1.457084,
  -1.452527,
  -1.447967,
  -1.443403,
  -1.438835,
  -1.434264,
  -1.429689,
  -1.425110,
  -1.420527,
  -1.415941,
  -1.411351,
  -1.406757,
  -1.402160,
  -1.397559,
  -1.392954,
  -1.388345,
  -1.383733,
  -1.379117,
  -1.374498,
  -1.369875,
  -1.365248,
  -1.360617,
  -1.355983,
  -1.351345,
  -1.346704,
  -1.342058,
  -1.337410,
  -1.332757,
  -1.328101,
  -1.323441,
  -1.318778,
  -1.314111,
  -1.309440,
  -1.304766,
  -1.300088,
  -1.295406,
  -1.290721,
  -1.286032,
  -1.281340,
  -1.276644,
  -1.271945,
  -1.267241,
  -1.262535,
  -1.257824,
  -1.253111,
  -1.248393,
  -1.243672,
  -1.238948,
  -1.234220,
  -1.229488,
  -1.224753,
  -1.220014,
  -1.215272,
  -1.210526,
  -1.205777,
  -1.201024,
  -1.196268,
  -1.191508,
  -1.186744,
  -1.181978,
  -1.177207,
  -1.172434,
  -1.167656,
  -1.162876,
  -1.158092,
  -1.153304,
  -1.148513,
  -1.143719,
  -1.138921,
  -1.134119,
  -1.129315,
  -1.124506,
  -1.119695,
  -1.114880,
  -1.110062,
  -1.105240,
  -1.100415,
  -1.095586,
  -1.090755,
  -1.085919,
  -1.081081,
  -1.076239,
  -1.071394,
  -1.066546,
  -1.061694,
  -1.056839,
  -1.051980,
  -1.047119,
  -1.042254,
  -1.037385,
  -1.032514,
  -1.027639,
  -1.022761,
  -1.017880,
  -1.012996,
  -1.008108,
  -1.003217,
  -0.998323,
  -0.993426,
  -0.988526,
  -0.983622,
  -0.978715,
  -0.973805,
  -0.968892,
  -0.963976,
  -0.959057,
  -0.954134,
  -0.949209,
  -0.944280,
  -0.939349,
  -0.934414,
  -0.929476,
  -0.924535,
  -0.919591,
  -0.914644,
  -0.909694,
  -0.904742,
  -0.899786,
  -0.894827,
  -0.889865,
  -0.884900,
  -0.879932,
  -0.874961,
  -0.869987,
  -0.865011,
  -0.860031,
  -0.855049,
  -0.850064,
  -0.845075,
  -0.840084,
  -0.835090,
  -0.830094,
  -0.825094,
  -0.820092,
  -0.815086,
  -0.810078,
  -0.805068,
  -0.800054,
  -0.795038,
  -0.790019,
  -0.784997,
  -0.779973,
  -0.774945,
  -0.769916,
  -0.764883,
  -0.759848,
  -0.754810,
  -0.749770,
  -0.744726,
  -0.739681,
  -0.734632,
  -0.729582,
  -0.724528,
  -0.719472,
  -0.714414,
  -0.709352,
  -0.704289,
  -0.699223,
  -0.694154,
  -0.689083,
  -0.684010,
  -0.678934,
  -0.673855,
  -0.668775,
  -0.663692,
  -0.658606,
  -0.653518,
  -0.648428,
  -0.643335,
  -0.638240,
  -0.633143,
  -0.628044,
  -0.622942,
  -0.617838,
  -0.612732,
  -0.607623,
  -0.602512,
  -0.597399,
  -0.592284,
  -0.587167,
  -0.582047,
  -0.576926,
  -0.571802,
  -0.566676,
  -0.561548,
  -0.556418,
  -0.551286,
  -0.546152,
  -0.541016,
  -0.535878,
  -0.530738,
  -0.525596,
  -0.520452,
  -0.515306,
  -0.510158,
  -0.505009,
  -0.499857,
  -0.494704,
  -0.489548,
  -0.484391,
  -0.479232,
  -0.474071,
  -0.468909,
  -0.463744,
  -0.458578,
  -0.453410,
  -0.448241,
  -0.443070,
  -0.437897,
  -0.432722,
  -0.427546,
  -0.422368,
  -0.417189,
  -0.412008,
  -0.406825,
  -0.401641,
  -0.396455,
  -0.391268,
  -0.386079,
  -0.380889,
  -0.375698,
  -0.370505,
  -0.365310,
  -0.360114,
  -0.354917,
  -0.349718,
  -0.344518,
  -0.339317,
  -0.334115,
  -0.328911,
  -0.323706,
  -0.318499,
  -0.313292,
  -0.308083,
  -0.302873,
  -0.297662,
  -0.292449,
  -0.287236,
  -0.282021,
  -0.276805,
  -0.271589,
  -0.266371,
  -0.261152,
  -0.255932,
  -0.250711,
  -0.245489,
  -0.240267,
  -0.235043,
  -0.229818,
  -0.224593,
  -0.219366,
  -0.214139,
  -0.208911,
  -0.203682,
  -0.198452,
  -0.193222,
  -0.187990,
  -0.182758,
  -0.177526,
  -0.172292,
  -0.167058,
  -0.161823,
  -0.156588,
  -0.151352,
  -0.146115,
  -0.140878,
  -0.135640,
  -0.130402,
  -0.125163,
  -0.119924,
  -0.114684,
  -0.109444,
  -0.104204,
  -0.098962,
  -0.093721,
  -0.088479,
  -0.083237,
  -0.077995,
  -0.072752,
  -0.067509,
  -0.062266,
  -0.057022,
  -0.051778,
  -0.046534,
  -0.041290,
  -0.036046,
  -0.030801,
  -0.025556,
  -0.020312,
  -0.015067,
  -0.009822,
  -0.004577,
  0.000668,
  0.005913,
  0.011158,
  0.016402,
  0.021647,
  0.026892,
  0.032136,
  0.037381,
  0.042625,
  0.047869,
  0.053113,
  0.058357,
  0.063601,
  0.068844,
  0.074087,
  0.079330,
  0.084572,
  0.089814,
  0.095056,
  0.100297,
  0.105538,
  0.110778,
  0.116018,
  0.121258,
  0.126497,
  0.131736,
  0.136974,
  0.142212,
  0.147449,
  0.152685,
  0.157921,
  0.163156,
  0.168391,
  0.173625,
  0.178858,
  0.184091,
  0.189322,
  0.194553,
  0.199784,
  0.205013,
  0.210242,
  0.215470,
  0.220697,
  0.225923,
  0.231149,
  0.236373,
  0.241596,
  0.246819,
  0.252041,
  0.257261,
  0.262481,
  0.267699,
  0.272917,
  0.278133,
  0.283349,
  0.288563,
  0.293776,
  0.298988,
  0.304199,
  0.309409,
  0.314618,
  0.319825,
  0.325031,
  0.330236,
  0.335439,
  0.340642,
  0.345843,
  0.351042,
  0.356240,
  0.361437,
  0.366633,
  0.371827,
  0.377020,
  0.382211,
  0.387401,
  0.392589,
  0.397776,
  0.402961,
  0.408145,
  0.413327,
  0.418508,
  0.423687,
  0.428864,
  0.434040,
  0.439214,
  0.444386,
  0.449557,
  0.454726,
  0.459894,
  0.465059,
  0.470223,
  0.475385,
  0.480546,
  0.485704,
  0.490861,
  0.496016,
  0.501169,
  0.506320,
  0.511469,
  0.516617,
  0.521762,
  0.526906,
  0.532047,
  0.537187,
  0.542324,
  0.547460,
  0.552593,
  0.557725,
  0.562854,
  0.567982,
  0.573107,
  0.578230,
  0.583351,
  0.588470,
  0.593587,
  0.598701,
  0.603814,
  0.608924,
  0.614032,
  0.619138,
  0.624241,
  0.629342,
  0.634441,
  0.639538,
  0.644632,
  0.649724,
  0.654814,
  0.659901,
  0.664986,
  0.670069,
  0.675149,
  0.680227,
  0.685302,
  0.690375,
  0.695445,
  0.700513,
  0.705578,
  0.710641,
  0.715702,
  0.720760,
  0.725815,
  0.730868,
  0.735918,
  0.740966,
  0.746011,
  0.751053,
  0.756093,
  0.761130,
  0.766165,
  0.771196,
  0.776226,
  0.781252,
  0.786276,
  0.791297,
  0.796315,
  0.801331,
  0.806344,
  0.811354,
  0.816361,
  0.821366,
  0.826367,
  0.831366,
  0.836362,
  0.841355,
  0.846346,
  0.851333,
  0.856318,
  0.861299,
  0.866278,
  0.871254,
  0.876227,
  0.881197,
  0.886164,
  0.891128,
  0.896090,
  0.901048,
  0.906003,
  0.910955,
  0.915904,
  0.920850,
  0.925794,
  0.930734,
  0.935671,
  0.940605,
  0.945536,
  0.950463,
  0.955388,
  0.960310,
  0.965228,
  0.970144,
  0.975056,
  0.979965,
  0.984871,
  0.989774,
  0.994673,
  0.999570,
  1.004463,
  1.009353,
  1.014240,
  1.019123,
  1.024004,
  1.028881,
  1.033755,
  1.038625,
  1.043493,
  1.048357,
  1.053218,
  1.058075,
  1.062929,
  1.067780,
  1.072628,
  1.077472,
  1.082313,
  1.087151,
  1.091985,
  1.096816,
  1.101644,
  1.106468,
  1.111289,
  1.116106,
  1.120920,
  1.125731,
  1.130538,
  1.135342,
  1.140143,
  1.144940,
  1.149733,
  1.154523,
  1.159310,
  1.164093,
  1.168873,
  1.173649,
  1.178422,
  1.183192,
  1.187958,
  1.192720,
  1.197479,
  1.202234,
  1.206986,
  1.211735,
  1.216480,
  1.221221,
  1.225959,
  1.230693,
  1.235424,
  1.240151,
  1.244874,
  1.249595,
  1.254311,
  1.259024,
  1.263733,
  1.268439,
  1.273141,
  1.277840,
  1.282535,
  1.287227,
  1.291914,
  1.296599,
  1.301279,
  1.305956,
  1.310630,
  1.315299,
  1.319965,
  1.324628,
  1.329287,
  1.333942,
  1.338594,
  1.343241,
  1.347886,
  1.352526,
  1.357163,
  1.361797,
  1.366426,
  1.371052,
  1.375674,
  1.380293,
  1.384908,
  1.389519,
  1.394127,
  1.398731,
  1.403331,
  1.407927,
  1.412520,
  1.417109,
  1.421694,
  1.426276,
  1.430854,
  1.435428,
  1.439999,
  1.444566,
  1.449129,
  1.453688,
  1.458243,
  1.462795,
  1.467344,
  1.471888,
  1.476429,
  1.480966,
  1.485499,
  1.490028,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.489447,
  -1.484917,
  -1.480383,
  -1.475845,
  -1.471304,
  -1.466759,
  -1.462210,
  -1.457657,
  -1.453101,
  -1.448541,
  -1.443977,
  -1.439409,
  -1.434838,
  -1.430263,
  -1.425684,
  -1.421102,
  -1.416515,
  -1.411925,
  -1.407332,
  -1.402735,
  -1.398134,
  -1.393529,
  -1.388920,
  -1.384308,
  -1.379692,
  -1.375073,
  -1.370449,
  -1.365823,
  -1.361192,
  -1.356558,
  -1.351920,
  -1.347278,
  -1.342633,
  -1.337984,
  -1.333331,
  -1.328675,
  -1.324015,
  -1.319351,
  -1.314684,
  -1.310013,
  -1.305339,
  -1.300660,
  -1.295979,
  -1.291293,
  -1.286604,
  -1.281912,
  -1.277215,
  -1.272516,
  -1.267812,
  -1.263105,
  -1.258394,
  -1.253680,
  -1.248962,
  -1.244241,
  -1.239516,
  -1.234787,
  -1.230055,
  -1.225320,
  -1.220581,
  -1.215838,
  -1.211092,
  -1.206342,
  -1.201588,
  -1.196831,
  -1.192071,
  -1.187307,
  -1.182540,
  -1.177769,
  -1.172995,
  -1.168217,
  -1.163435,
  -1.158651,
  -1.153862,
  -1.149071,
  -1.144275,
  -1.139477,
  -1.134675,
  -1.129869,
  -1.125060,
  -1.120248,
  -1.115432,
  -1.110613,
  -1.105790,
  -1.100964,
  -1.096135,
  -1.091302,
  -1.086466,
  -1.081627,
  -1.076784,
  -1.071938,
  -1.067088,
  -1.062236,
  -1.057379,
  -1.052520,
  -1.047657,
  -1.042791,
  -1.037922,
  -1.033049,
  -1.028174,
  -1.023294,
  -1.018412,
  -1.013526,
  -1.008638,
  -1.003746,
  -0.998850,
  -0.993952,
  -0.989050,
  -0.984145,
  -0.979237,
  -0.974326,
  -0.969412,
  -0.964494,
  -0.959573,
  -0.954650,
  -0.949723,
  -0.944793,
  -0.939860,
  -0.934923,
  -0.929984,
  -0.925042,
  -0.920096,
  -0.915148,
  -0.910196,
  -0.905242,
  -0.900284,
  -0.895324,
  -0.890360,
  -0.885394,
  -0.880424,
  -0.875452,
  -0.870476,
  -0.865498,
  -0.860517,
  -0.855532,
  -0.850545,
  -0.845555,
  -0.840563,
  -0.835567,
  -0.830568,
  -0.825567,
  -0.820563,
  -0.815556,
  -0.810546,
  -0.805533,
  -0.800517,
  -0.795499,
  -0.790478,
  -0.785454,
  -0.780428,
  -0.775399,
  -0.770367,
  -0.765332,
  -0.760295,
  -0.755255,
  -0.750213,
  -0.745167,
  -0.740120,
  -0.735069,
  -0.730016,
  -0.724960,
  -0.719902,
  -0.714841,
  -0.709778,
  -0.704712,
  -0.699644,
  -0.694573,
  -0.689500,
  -0.684424,
  -0.679346,
  -0.674265,
  -0.669182,
  -0.664096,
  -0.659009,
  -0.653918,
  -0.648825,
  -0.643730,
  -0.638633,
  -0.633533,
  -0.628431,
  -0.623327,
  -0.618220,
  -0.613112,
  -0.608000,
  -0.602887,
  -0.597772,
  -0.592654,
  -0.587534,
  -0.582412,
  -0.577288,
  -0.572161,
  -0.567033,
  -0.561902,
  -0.556770,
  -0.551635,
  -0.546498,
  -0.541359,
  -0.536218,
  -0.531076,
  -0.525931,
  -0.520784,
  -0.515635,
  -0.510485,
  -0.505332,
  -0.500177,
  -0.495021,
  -0.489863,
  -0.484703,
  -0.479541,
  -0.474377,
  -0.469211,
  -0.464044,
  -0.458875,
  -0.453704,
  -0.448532,
  -0.443357,
  -0.438182,
  -0.433004,
  -0.427825,
  -0.422644,
  -0.417461,
  -0.412277,
  -0.407092,
  -0.401904,
  -0.396715,
  -0.391525,
  -0.386333,
  -0.381140,
  -0.375945,
  -0.370749,
  -0.365551,
  -0.360352,
  -0.355152,
  -0.349950,
  -0.344747,
  -0.339542,
  -0.334336,
  -0.329129,
  -0.323921,
  -0.318711,
  -0.313500,
  -0.308288,
  -0.303075,
  -0.297860,
  -0.292645,
  -0.287428,
  -0.282210,
  -0.276991,
  -0.271771,
  -0.266550,
  -0.261327,
  -0.256104,
  -0.250880,
  -0.245655,
  -0.240428,
  -0.235201,
  -0.229973,
  -0.224744,
  -0.219514,
  -0.214284,
  -0.209052,
  -0.203820,
  -0.198586,
  -0.193352,
  -0.188118,
  -0.182882,
  -0.177646,
  -0.172409,
  -0.167171,
  -0.161933,
  -0.156694,
  -0.151455,
  -0.146215,
  -0.140974,
  -0.135733,
  -0.130491,
  -0.125249,
  -0.120006,
  -0.114762,
  -0.109519,
  -0.104275,
  -0.099030,
  -0.093785,
  -0.088540,
  -0.083294,
  -0.078048,
  -0.072802,
  -0.067555,
  -0.062308,
  -0.057061,
  -0.051813,
  -0.046566,
  -0.041318,
  -0.036070,
  -0.030822,
  -0.025574,
  -0.020326,
  -0.015077,
  -0.009829,
  -0.004580,
  0.000668,
  0.005917,
  0.011165,
  0.016414,
  0.021662,
  0.026910,
  0.032158,
  0.037406,
  0.042654,
  0.047902,
  0.053150,
  0.058397,
  0.063644,
  0.068891,
  0.074137,
  0.079384,
  0.084630,
  0.089875,
  0.095120,
  0.100365,
  0.105610,
  0.110854,
  0.116098,
  0.121341,
  0.126583,
  0.131826,
  0.137067,
  0.142308,
  0.147549,
  0.152789,
  0.158028,
  0.163267,
  0.168505,
  0.173742,
  0.178979,
  0.184215,
  0.189451,
  0.194685,
  0.199919,
  0.205152,
  0.210384,
  0.215615,
  0.220846,
  0.226076,
  0.231304,
  0.236532,
  0.241759,
  0.246985,
  0.252210,
  0.257434,
  0.262657,
  0.267879,
  0.273100,
  0.278320,
  0.283539,
  0.288756,
  0.293973,
  0.299188,
  0.304402,
  0.309615,
  0.314827,
  0.320038,
  0.325247,
  0.330455,
  0.335662,
  0.340868,
  0.346072,
  0.351275,
  0.356476,
  0.361676,
  0.366875,
  0.372072,
  0.377268,
  0.382462,
  0.387655,
  0.392847,
  0.398037,
  0.403225,
  0.408412,
  0.413597,
  0.418781,
  0.423963,
  0.429144,
  0.434322,
  0.439500,
  0.444675,
  0.449849,
  0.455021,
  0.460191,
  0.465360,
  0.470527,
  0.475692,
  0.480855,
  0.486017,
  0.491176,
  0.496334,
  0.501490,
  0.506644,
  0.511796,
  0.516946,
  0.522095,
  0.527241,
  0.532385,
  0.537528,
  0.542668,
  0.547806,
  0.552942,
  0.558077,
  0.563209,
  0.568339,
  0.573467,
  0.578593,
  0.583716,
  0.588838,
  0.593957,
  0.599074,
  0.604189,
  0.609302,
  0.614413,
  0.619521,
  0.624627,
  0.629731,
  0.634832,
  0.639931,
  0.645028,
  0.650122,
  0.655214,
  0.660304,
  0.665392,
  0.670476,
  0.675559,
  0.680639,
  0.685717,
  0.690792,
  0.695864,
  0.700935,
  0.706002,
  0.711068,
  0.716130,
  0.721190,
  0.726248,
  0.731303,
  0.736355,
  0.741405,
  0.746452,
  0.751497,
  0.756539,
  0.761578,
  0.766615,
  0.771648,
  0.776680,
  0.781708,
  0.786734,
  0.791757,
  0.796777,
  0.801795,
  0.806809,
  0.811821,
  0.816831,
  0.821837,
  0.826841,
  0.831841,
  0.836839,
  0.841834,
  0.846826,
  0.851815,
  0.856802,
  0.861785,
  0.866766,
  0.871743,
  0.876718,
  0.881690,
  0.886658,
  0.891624,
  0.896587,
  0.901547,
  0.906504,
  0.911457,
  0.916408,
  0.921356,
  0.926300,
  0.931242,
  0.936181,
  0.941116,
  0.946048,
  0.950978,
  0.955904,
  0.960827,
  0.965746,
  0.970663,
  0.975577,
  0.980487,
  0.985394,
  0.990298,
  0.995199,
  1.000097,
  1.004991,
  1.009883,
  1.014771,
  1.019655,
  1.024537,
  1.029415,
  1.034290,
  1.039162,
  1.044031,
  1.048896,
  1.053758,
  1.058616,
  1.063471,
  1.068323,
  1.073172,
  1.078017,
  1.082859,
  1.087698,
  1.092533,
  1.097365,
  1.102193,
  1.107018,
  1.111840,
  1.116659,
  1.121473,
  1.126285,
  1.131093,
  1.135898,
  1.140699,
  1.145497,
  1.150291,
  1.155082,
  1.159869,
  1.164653,
  1.169434,
  1.174211,
  1.178984,
  1.183754,
  1.188521,
  1.193284,
  1.198043,
  1.202799,
  1.207551,
  1.212300,
  1.217046,
  1.221788,
  1.226526,
  1.231261,
  1.235992,
  1.240719,
  1.245443,
  1.250164,
  1.254881,
  1.259594,
  1.264304,
  1.269010,
  1.273713,
  1.278412,
  1.283107,
  1.287799,
  1.292487,
  1.297171,
  1.301852,
  1.306529,
  1.311203,
  1.315873,
  1.320539,
  1.325202,
  1.329861,
  1.334516,
  1.339168,
  1.343816,
  1.348460,
  1.353101,
  1.357738,
  1.362371,
  1.367001,
  1.371627,
  1.376249,
  1.380868,
  1.385483,
  1.390094,
  1.394701,
  1.399305,
  1.403905,
  1.408502,
  1.413095,
  1.417683,
  1.422269,
  1.426850,
  1.431428,
  1.436002,
  1.440573,
  1.445139,
  1.449702,
  1.454261,
  1.458817,
  1.463368,
  1.467916,
  1.472460,
  1.477001,
  1.481537,
  1.486070,
  1.490600,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.490076,
  -1.485546,
  -1.481013,
  -1.476475,
  -1.471934,
  -1.467389,
  -1.462841,
  -1.458288,
  -1.453732,
  -1.449172,
  -1.444609,
  -1.440041,
  -1.435470,
  -1.430895,
  -1.426317,
  -1.421734,
  -1.417148,
  -1.412558,
  -1.407965,
  -1.403368,
  -1.398767,
  -1.394162,
  -1.389553,
  -1.384941,
  -1.380325,
  -1.375706,
  -1.371083,
  -1.366456,
  -1.361825,
  -1.357191,
  -1.352553,
  -1.347911,
  -1.343265,
  -1.338616,
  -1.333964,
  -1.329307,
  -1.324647,
  -1.319983,
  -1.315316,
  -1.310645,
  -1.305970,
  -1.301292,
  -1.296610,
  -1.291924,
  -1.287235,
  -1.282542,
  -1.277845,
  -1.273145,
  -1.268441,
  -1.263734,
  -1.259022,
  -1.254308,
  -1.249590,
  -1.244868,
  -1.240142,
  -1.235413,
  -1.230681,
  -1.225945,
  -1.221205,
  -1.216462,
  -1.211715,
  -1.206964,
  -1.202210,
  -1.197453,
  -1.192692,
  -1.187927,
  -1.183159,
  -1.178388,
  -1.173613,
  -1.168834,
  -1.164052,
  -1.159266,
  -1.154477,
  -1.149685,
  -1.144889,
  -1.140089,
  -1.135286,
  -1.130480,
  -1.125670,
  -1.120857,
  -1.116040,
  -1.111220,
  -1.106397,
  -1.101570,
  -1.096739,
  -1.091906,
  -1.087069,
  -1.082228,
  -1.077384,
  -1.072537,
  -1.067687,
  -1.062833,
  -1.057975,
  -1.053115,
  -1.048251,
  -1.043384,
  -1.038513,
  -1.033639,
  -1.028762,
  -1.023882,
  -1.018998,
  -1.014111,
  -1.009221,
  -1.004328,
  -0.999431,
  -0.994531,
  -0.989628,
  -0.984722,
  -0.979813,
  -0.974900,
  -0.969984,
  -0.965065,
  -0.960143,
  -0.955217,
  -0.950289,
  -0.945357,
  -0.940423,
  -0.935485,
  -0.930544,
  -0.925600,
  -0.920653,
  -0.915703,
  -0.910749,
  -0.905793,
  -0.900834,
  -0.895872,
  -0.890906,
  -0.885938,
  -0.880967,
  -0.875992,
  -0.871015,
  -0.866035,
  -0.861052,
  -0.856066,
  -0.851077,
  -0.846085,
  -0.841090,
  -0.836092,
  -0.831092,
  -0.826088,
  -0.821082,
  -0.816073,
  -0.811061,
  -0.806046,
  -0.801028,
  -0.796008,
  -0.790985,
  -0.785959,
  -0.780930,
  -0.775899,
  -0.770865,
  -0.765828,
  -0.760788,
  -0.755746,
  -0.750701,
  -0.745654,
  -0.740603,
  -0.735551,
  -0.730495,
  -0.725437,
  -0.720376,
  -0.715313,
  -0.710247,
  -0.705179,
  -0.700108,
  -0.695035,
  -0.689959,
  -0.684881,
  -0.679800,
  -0.674717,
  -0.669631,
  -0.664543,
  -0.659452,
  -0.654359,
  -0.649264,
  -0.644166,
  -0.639066,
  -0.633963,
  -0.628859,
  -0.623752,
  -0.618642,
  -0.613531,
  -0.608417,
  -0.603301,
  -0.598182,
  -0.593062,
  -0.587939,
  -0.582814,
  -0.577687,
  -0.572557,
  -0.567426,
  -0.562292,
  -0.557157,
  -0.552019,
  -0.546879,
  -0.541737,
  -0.536593,
  -0.531447,
  -0.526300,
  -0.521150,
  -0.515998,
  -0.510844,
  -0.505688,
  -0.500531,
  -0.495371,
  -0.490210,
  -0.485046,
  -0.479881,
  -0.474714,
  -0.469545,
  -0.464375,
  -0.459202,
  -0.454028,
  -0.448853,
  -0.443675,
  -0.438496,
  -0.433315,
  -0.428132,
  -0.422948,
  -0.417762,
  -0.412574,
  -0.407385,
  -0.402195,
  -0.397002,
  -0.391809,
  -0.386613,
  -0.381417,
  -0.376218,
  -0.371019,
  -0.365817,
  -0.360615,
  -0.355411,
  -0.350205,
  -0.344999,
  -0.339791,
  -0.334581,
  -0.329370,
  -0.324158,
  -0.318945,
  -0.313731,
  -0.308515,
  -0.303298,
  -0.298080,
  -0.292860,
  -0.287640,
  -0.282418,
  -0.277195,
  -0.271972,
  -0.266747,
  -0.261521,
  -0.256294,
  -0.251066,
  -0.245837,
  -0.240607,
  -0.235376,
  -0.230144,
  -0.224911,
  -0.219678,
  -0.214443,
  -0.209208,
  -0.203971,
  -0.198734,
  -0.193497,
  -0.188258,
  -0.183019,
  -0.177779,
  -0.172538,
  -0.167296,
  -0.162054,
  -0.156812,
  -0.151568,
  -0.146324,
  -0.141080,
  -0.135834,
  -0.130589,
  -0.125343,
  -0.120096,
  -0.114849,
  -0.109601,
  -0.104353,
  -0.099104,
  -0.093855,
  -0.088606,
  -0.083357,
  -0.078107,
  -0.072856,
  -0.067606,
  -0.062355,
  -0.057104,
  -0.051852,
  -0.046601,
  -0.041349,
  -0.036097,
  -0.030845,
  -0.025593,
  -0.020341,
  -0.015089,
  -0.009836,
  -0.004584,
  0.000669,
  0.005921,
  0.011174,
  0.016426,
  0.021678,
  0.026930,
  0.032183,
  0.037435,
  0.042686,
  0.047938,
  0.053190,
  0.058441,
  0.063692,
  0.068943,
  0.074193,
  0.079443,
  0.084693,
  0.089943,
  0.095192,
  0.100441,
  0.105689,
  0.110937,
  0.116185,
  0.121432,
  0.126678,
  0.131924,
  0.137170,
  0.142415,
  0.147659,
  0.152903,
  0.158146,
  0.163389,
  0.168631,
  0.173872,
  0.179113,
  0.184353,
  0.189592,
  0.194830,
  0.200068,
  0.205305,
  0.210541,
  0.215776,
  0.221010,
  0.226244,
  0.231476,
  0.236708,
  0.241939,
  0.247168,
  0.252397,
  0.257625,
  0.262851,
  0.268077,
  0.273302,
  0.278525,
  0.283748,
  0.288969,
  0.294189,
  0.299408,
  0.304626,
  0.309843,
  0.315058,
  0.320273,
  0.325486,
  0.330697,
  0.335908,
  0.341117,
  0.346325,
  0.351531,
  0.356736,
  0.361940,
  0.367142,
  0.372343,
  0.377542,
  0.382740,
  0.387936,
  0.393131,
  0.398325,
  0.403516,
  0.408707,
  0.413895,
  0.419082,
  0.424268,
  0.429452,
  0.434634,
  0.439815,
  0.444993,
  0.450170,
  0.455346,
  0.460520,
  0.465691,
  0.470862,
  0.476030,
  0.481196,
  0.486361,
  0.491524,
  0.496685,
  0.501844,
  0.507001,
  0.512156,
  0.517310,
  0.522461,
  0.527610,
  0.532758,
  0.537903,
  0.543047,
  0.548188,
  0.553327,
  0.558464,
  0.563600,
  0.568733,
  0.573863,
  0.578992,
  0.584119,
  0.589243,
  0.594366,
  0.599486,
  0.604603,
  0.609719,
  0.614832,
  0.619943,
  0.625052,
  0.630159,
  0.635263,
  0.640365,
  0.645464,
  0.650561,
  0.655656,
  0.660748,
  0.665838,
  0.670926,
  0.676011,
  0.681094,
  0.686174,
  0.691252,
  0.696327,
  0.701400,
  0.706470,
  0.711538,
  0.716603,
  0.721665,
  0.726725,
  0.731783,
  0.736837,
  0.741889,
  0.746939,
  0.751986,
  0.757030,
  0.762072,
  0.767110,
  0.772147,
  0.777180,
  0.782211,
  0.787239,
  0.792264,
  0.797286,
  0.802306,
  0.807323,
  0.812337,
  0.817348,
  0.822357,
  0.827362,
  0.832365,
  0.837365,
  0.842362,
  0.847356,
  0.852347,
  0.857335,
  0.862321,
  0.867303,
  0.872283,
  0.877259,
  0.882233,
  0.887203,
  0.892171,
  0.897135,
  0.902097,
  0.907055,
  0.912011,
  0.916963,
  0.921913,
  0.926859,
  0.931802,
  0.936742,
  0.941679,
  0.946613,
  0.951544,
  0.956472,
  0.961396,
  0.966318,
  0.971236,
  0.976151,
  0.981063,
  0.985971,
  0.990877,
  0.995779,
  1.000678,
  1.005574,
  1.010467,
  1.015356,
  1.020242,
  1.025125,
  1.030004,
  1.034881,
  1.039754,
  1.044623,
  1.049490,
  1.054353,
  1.059212,
  1.064069,
  1.068922,
  1.073772,
  1.078618,
  1.083461,
  1.088301,
  1.093137,
  1.097970,
  1.102799,
  1.107625,
  1.112448,
  1.117267,
  1.122083,
  1.126895,
  1.131704,
  1.136510,
  1.141312,
  1.146110,
  1.150905,
  1.155697,
  1.160485,
  1.165270,
  1.170051,
  1.174829,
  1.179603,
  1.184374,
  1.189141,
  1.193905,
  1.198665,
  1.203421,
  1.208174,
  1.212924,
  1.217670,
  1.222412,
  1.227151,
  1.231886,
  1.236618,
  1.241346,
  1.246070,
  1.250791,
  1.255509,
  1.260222,
  1.264932,
  1.269639,
  1.274342,
  1.279041,
  1.283737,
  1.288429,
  1.293117,
  1.297802,
  1.302483,
  1.307160,
  1.311834,
  1.316505,
  1.321171,
  1.325834,
  1.330493,
  1.335149,
  1.339800,
  1.344449,
  1.349093,
  1.353734,
  1.358371,
  1.363004,
  1.367634,
  1.372260,
  1.376882,
  1.381501,
  1.386116,
  1.390727,
  1.395335,
  1.399938,
  1.404538,
  1.409135,
  1.413727,
  1.418316,
  1.422901,
  1.427483,
  1.432060,
  1.436634,
  1.441204,
  1.445771,
  1.450334,
  1.454893,
  1.459448,
  1.463999,
  1.468547,
  1.473091,
  1.477631,
  1.482167,
  1.486700,
  1.491229,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.490763,
  -1.486234,
  -1.481701,
  -1.477164,
  -1.472623,
  -1.468078,
  -1.463530,
  -1.458978,
  -1.454422,
  -1.449862,
  -1.445299,
  -1.440732,
  -1.436161,
  -1.431586,
  -1.427008,
  -1.422425,
  -1.417839,
  -1.413250,
  -1.408656,
  -1.404059,
  -1.399458,
  -1.394853,
  -1.390245,
  -1.385633,
  -1.381017,
  -1.376398,
  -1.371774,
  -1.367147,
  -1.362517,
  -1.357882,
  -1.353244,
  -1.348602,
  -1.343957,
  -1.339307,
  -1.334654,
  -1.329998,
  -1.325338,
  -1.320674,
  -1.316006,
  -1.311335,
  -1.306660,
  -1.301981,
  -1.297299,
  -1.292613,
  -1.287923,
  -1.283230,
  -1.278533,
  -1.273832,
  -1.269128,
  -1.264420,
  -1.259709,
  -1.254994,
  -1.250275,
  -1.245553,
  -1.240827,
  -1.236097,
  -1.231364,
  -1.226627,
  -1.221887,
  -1.217143,
  -1.212396,
  -1.207645,
  -1.202890,
  -1.198132,
  -1.193370,
  -1.188605,
  -1.183836,
  -1.179064,
  -1.174288,
  -1.169509,
  -1.164726,
  -1.159939,
  -1.155149,
  -1.150356,
  -1.145559,
  -1.140759,
  -1.135955,
  -1.131148,
  -1.126337,
  -1.121523,
  -1.116705,
  -1.111884,
  -1.107059,
  -1.102231,
  -1.097400,
  -1.092565,
  -1.087727,
  -1.082885,
  -1.078040,
  -1.073192,
  -1.068340,
  -1.063485,
  -1.058627,
  -1.053765,
  -1.048900,
  -1.044031,
  -1.039159,
  -1.034284,
  -1.029406,
  -1.024524,
  -1.019639,
  -1.014751,
  -1.009859,
  -1.004964,
  -1.000066,
  -0.995165,
  -0.990260,
  -0.985352,
  -0.980441,
  -0.975527,
  -0.970609,
  -0.965689,
  -0.960765,
  -0.955838,
  -0.950908,
  -0.945975,
  -0.941038,
  -0.936099,
  -0.931156,
  -0.926210,
  -0.921261,
  -0.916309,
  -0.911354,
  -0.906396,
  -0.901435,
  -0.896471,
  -0.891503,
  -0.886533,
  -0.881560,
  -0.876583,
  -0.871604,
  -0.866622,
  -0.861637,
  -0.856648,
  -0.851657,
  -0.846663,
  -0.841666,
  -0.836666,
  -0.831664,
  -0.826658,
  -0.821649,
  -0.816638,
  -0.811624,
  -0.806607,
  -0.801587,
  -0.796564,
  -0.791538,
  -0.786510,
  -0.781479,
  -0.776445,
  -0.771409,
  -0.766369,
  -0.761327,
  -0.756283,
  -0.751235,
  -0.746185,
  -0.741132,
  -0.736077,
  -0.731019,
  -0.725958,
  -0.720895,
  -0.715829,
  -0.710761,
  -0.705690,
  -0.700616,
  -0.695540,
  -0.690461,
  -0.685380,
  -0.680296,
  -0.675210,
  -0.670122,
  -0.665031,
  -0.659937,
  -0.654841,
  -0.649743,
  -0.644642,
  -0.639539,
  -0.634434,
  -0.629326,
  -0.624216,
  -0.619103,
  -0.613989,
  -0.608872,
  -0.603753,
  -0.598631,
  -0.593507,
  -0.588381,
  -0.583253,
  -0.578123,
  -0.572990,
  -0.567856,
  -0.562719,
  -0.557580,
  -0.552439,
  -0.547296,
  -0.542151,
  -0.537003,
  -0.531854,
  -0.526703,
  -0.521550,
  -0.516394,
  -0.511237,
  -0.506078,
  -0.500917,
  -0.495754,
  -0.490589,
  -0.485422,
  -0.480253,
  -0.475083,
  -0.469910,
  -0.464736,
  -0.459560,
  -0.454383,
  -0.449203,
  -0.444022,
  -0.438839,
  -0.433655,
  -0.428468,
  -0.423280,
  -0.418091,
  -0.412899,
  -0.407707,
  -0.402512,
  -0.397316,
  -0.392119,
  -0.386920,
  -0.381719,
  -0.376517,
  -0.371313,
  -0.366108,
  -0.360902,
  -0.355694,
  -0.350485,
  -0.345274,
  -0.340062,
  -0.334849,
  -0.329634,
  -0.324418,
  -0.319201,
  -0.313982,
  -0.308763,
  -0.303542,
  -0.298319,
  -0.293096,
  -0.287872,
  -0.282646,
  -0.277419,
  -0.272191,
  -0.266962,
  -0.261732,
  -0.256501,
  -0.251269,
  -0.246036,
  -0.240802,
  -0.235567,
  -0.230331,
  -0.225094,
  -0.219856,
  -0.214618,
  -0.209378,
  -0.204138,
  -0.198896,
  -0.193654,
  -0.188412,
  -0.183168,
  -0.177924,
  -0.172679,
  -0.167433,
  -0.162187,
  -0.156940,
  -0.151692,
  -0.146444,
  -0.141195,
  -0.135946,
  -0.130696,
  -0.125445,
  -0.120194,
  -0.114943,
  -0.109691,
  -0.104439,
  -0.099186,
  -0.093933,
  -0.088679,
  -0.083425,
  -0.078171,
  -0.072916,
  -0.067661,
  -0.062406,
  -0.057151,
  -0.051895,
  -0.046639,
  -0.041383,
  -0.036127,
  -0.030871,
  -0.025614,
  -0.020358,
  -0.015101,
  -0.009844,
  -0.004588,
  0.000669,
  0.005926,
  0.011183,
  0.016439,
  0.021696,
  0.026953,
  0.032209,
  0.037465,
  0.042722,
  0.047978,
  0.053233,
  0.058489,
  0.063744,
  0.068999,
  0.074254,
  0.079509,
  0.084763,
  0.090017,
  0.095270,
  0.100523,
  0.105776,
  0.111028,
  0.116280,
  0.121531,
  0.126782,
  0.132033,
  0.137282,
  0.142532,
  0.147780,
  0.153028,
  0.158276,
  0.163523,
  0.168769,
  0.174014,
  0.179259,
  0.184503,
  0.189747,
  0.194989,
  0.200231,
  0.205472,
  0.210712,
  0.215951,
  0.221190,
  0.226427,
  0.231664,
  0.236900,
  0.242135,
  0.247369,
  0.252601,
  0.257833,
  0.263064,
  0.268294,
  0.273522,
  0.278750,
  0.283977,
  0.289202,
  0.294426,
  0.299649,
  0.304871,
  0.310092,
  0.315311,
  0.320529,
  0.325746,
  0.330962,
  0.336176,
  0.341389,
  0.346601,
  0.351811,
  0.357020,
  0.362228,
  0.367434,
  0.372638,
  0.377842,
  0.383043,
  0.388243,
  0.393442,
  0.398639,
  0.403835,
  0.409029,
  0.414221,
  0.419412,
  0.424601,
  0.429789,
  0.434975,
  0.440159,
  0.445341,
  0.450522,
  0.455701,
  0.460878,
  0.466054,
  0.471228,
  0.476399,
  0.481570,
  0.486738,
  0.491904,
  0.497068,
  0.502231,
  0.507392,
  0.512550,
  0.517707,
  0.522862,
  0.528015,
  0.533165,
  0.538314,
  0.543461,
  0.548606,
  0.553748,
  0.558889,
  0.564027,
  0.569163,
  0.574297,
  0.579429,
  0.584559,
  0.589687,
  0.594812,
  0.599935,
  0.605056,
  0.610175,
  0.615291,
  0.620405,
  0.625517,
  0.630627,
  0.635734,
  0.640839,
  0.645941,
  0.651041,
  0.656139,
  0.661234,
  0.666327,
  0.671418,
  0.676506,
  0.681591,
  0.686674,
  0.691755,
  0.696833,
  0.701908,
  0.706981,
  0.712051,
  0.717119,
  0.722184,
  0.727247,
  0.732307,
  0.737364,
  0.742419,
  0.747471,
  0.752521,
  0.757567,
  0.762611,
  0.767653,
  0.772691,
  0.777727,
  0.782760,
  0.787791,
  0.792818,
  0.797843,
  0.802865,
  0.807884,
  0.812901,
  0.817914,
  0.822925,
  0.827933,
  0.832938,
  0.837940,
  0.842939,
  0.847935,
  0.852928,
  0.857919,
  0.862906,
  0.867891,
  0.872872,
  0.877851,
  0.882826,
  0.887799,
  0.892768,
  0.897735,
  0.902698,
  0.907659,
  0.912616,
  0.917570,
  0.922522,
  0.927470,
  0.932415,
  0.937357,
  0.942295,
  0.947231,
  0.952163,
  0.957093,
  0.962019,
  0.966942,
  0.971862,
  0.976779,
  0.981692,
  0.986602,
  0.991509,
  0.996413,
  1.001313,
  1.006211,
  1.011105,
  1.015996,
  1.020883,
  1.025767,
  1.030648,
  1.035526,
  1.040400,
  1.045271,
  1.050139,
  1.055003,
  1.059864,
  1.064722,
  1.069576,
  1.074427,
  1.079274,
  1.084118,
  1.088959,
  1.093796,
  1.098630,
  1.103461,
  1.108288,
  1.113112,
  1.117932,
  1.122749,
  1.127562,
  1.132372,
  1.137178,
  1.141981,
  1.146781,
  1.151577,
  1.156369,
  1.161158,
  1.165944,
  1.170726,
  1.175504,
  1.180279,
  1.185051,
  1.189819,
  1.194583,
  1.199344,
  1.204101,
  1.208855,
  1.213605,
  1.218351,
  1.223094,
  1.227834,
  1.232569,
  1.237302,
  1.242030,
  1.246755,
  1.251477,
  1.256194,
  1.260909,
  1.265619,
  1.270326,
  1.275029,
  1.279729,
  1.284425,
  1.289117,
  1.293806,
  1.298491,
  1.303172,
  1.307850,
  1.312524,
  1.317195,
  1.321861,
  1.326524,
  1.331184,
  1.335840,
  1.340492,
  1.345140,
  1.349784,
  1.354425,
  1.359062,
  1.363696,
  1.368326,
  1.372952,
  1.377574,
  1.382193,
  1.386808,
  1.391419,
  1.396026,
  1.400630,
  1.405230,
  1.409826,
  1.414419,
  1.419007,
  1.423592,
  1.428174,
  1.432751,
  1.437325,
  1.441895,
  1.446461,
  1.451023,
  1.455582,
  1.460137,
  1.464688,
  1.469236,
  1.473779,
  1.478319,
  1.482855,
  1.487388,
  1.491916,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.491509,
  -1.486980,
  -1.482447,
  -1.477910,
  -1.473370,
  -1.468825,
  -1.464277,
  -1.459726,
  -1.455170,
  -1.450611,
  -1.446047,
  -1.441480,
  -1.436910,
  -1.432335,
  -1.427757,
  -1.423175,
  -1.418589,
  -1.413999,
  -1.409406,
  -1.404809,
  -1.400208,
  -1.395604,
  -1.390995,
  -1.386383,
  -1.381767,
  -1.377148,
  -1.372524,
  -1.367898,
  -1.363267,
  -1.358632,
  -1.353994,
  -1.349352,
  -1.344706,
  -1.340057,
  -1.335404,
  -1.330747,
  -1.326087,
  -1.321422,
  -1.316755,
  -1.312083,
  -1.307408,
  -1.302729,
  -1.298046,
  -1.293360,
  -1.288670,
  -1.283976,
  -1.279279,
  -1.274578,
  -1.269873,
  -1.265165,
  -1.260453,
  -1.255737,
  -1.251018,
  -1.246295,
  -1.241569,
  -1.236839,
  -1.232105,
  -1.227368,
  -1.222627,
  -1.217883,
  -1.213134,
  -1.208383,
  -1.203627,
  -1.198869,
  -1.194106,
  -1.189340,
  -1.184571,
  -1.179797,
  -1.175021,
  -1.170241,
  -1.165457,
  -1.160670,
  -1.155879,
  -1.151084,
  -1.146287,
  -1.141485,
  -1.136680,
  -1.131872,
  -1.127060,
  -1.122245,
  -1.117426,
  -1.112604,
  -1.107778,
  -1.102949,
  -1.098117,
  -1.093281,
  -1.088441,
  -1.083599,
  -1.078752,
  -1.073903,
  -1.069050,
  -1.064193,
  -1.059333,
  -1.054470,
  -1.049604,
  -1.044734,
  -1.039860,
  -1.034984,
  -1.030104,
  -1.025221,
  -1.020334,
  -1.015444,
  -1.010551,
  -1.005655,
  -1.000755,
  -0.995852,
  -0.990946,
  -0.986036,
  -0.981124,
  -0.976208,
  -0.971288,
  -0.966366,
  -0.961440,
  -0.956512,
  -0.951580,
  -0.946644,
  -0.941706,
  -0.936765,
  -0.931820,
  -0.926872,
  -0.921921,
  -0.916967,
  -0.912010,
  -0.907050,
  -0.902087,
  -0.897121,
  -0.892151,
  -0.887179,
  -0.882203,
  -0.877225,
  -0.872243,
  -0.867259,
  -0.862271,
  -0.857281,
  -0.852288,
  -0.847291,
  -0.842292,
  -0.837290,
  -0.832284,
  -0.827276,
  -0.822265,
  -0.817252,
  -0.812235,
  -0.807215,
  -0.802193,
  -0.797168,
  -0.792140,
  -0.787109,
  -0.782075,
  -0.777039,
  -0.771999,
  -0.766957,
  -0.761913,
  -0.756865,
  -0.751815,
  -0.746762,
  -0.741707,
  -0.736648,
  -0.731587,
  -0.726524,
  -0.721458,
  -0.716389,
  -0.711318,
  -0.706244,
  -0.701167,
  -0.696088,
  -0.691006,
  -0.685922,
  -0.680835,
  -0.675746,
  -0.670655,
  -0.665560,
  -0.660464,
  -0.655365,
  -0.650263,
  -0.645159,
  -0.640053,
  -0.634944,
  -0.629833,
  -0.624720,
  -0.619604,
  -0.614486,
  -0.609366,
  -0.604243,
  -0.599118,
  -0.593991,
  -0.588862,
  -0.583730,
  -0.578596,
  -0.573460,
  -0.568322,
  -0.563182,
  -0.558040,
  -0.552895,
  -0.547748,
  -0.542599,
  -0.537449,
  -0.532296,
  -0.527141,
  -0.521984,
  -0.516825,
  -0.511664,
  -0.506501,
  -0.501336,
  -0.496169,
  -0.491001,
  -0.485830,
  -0.480658,
  -0.475483,
  -0.470307,
  -0.465129,
  -0.459949,
  -0.454768,
  -0.449584,
  -0.444399,
  -0.439212,
  -0.434024,
  -0.428833,
  -0.423641,
  -0.418448,
  -0.413252,
  -0.408056,
  -0.402857,
  -0.397657,
  -0.392455,
  -0.387252,
  -0.382047,
  -0.376841,
  -0.371633,
  -0.366424,
  -0.361214,
  -0.356002,
  -0.350788,
  -0.345573,
  -0.340357,
  -0.335139,
  -0.329920,
  -0.324700,
  -0.319479,
  -0.314256,
  -0.309032,
  -0.303806,
  -0.298580,
  -0.293352,
  -0.288123,
  -0.282893,
  -0.277662,
  -0.272430,
  -0.267196,
  -0.261962,
  -0.256727,
  -0.251490,
  -0.246252,
  -0.241014,
  -0.235774,
  -0.230534,
  -0.225293,
  -0.220050,
  -0.214807,
  -0.209563,
  -0.204318,
  -0.199072,
  -0.193826,
  -0.188578,
  -0.183330,
  -0.178081,
  -0.172832,
  -0.167582,
  -0.162331,
  -0.157079,
  -0.151827,
  -0.146574,
  -0.141321,
  -0.136067,
  -0.130812,
  -0.125557,
  -0.120301,
  -0.115045,
  -0.109789,
  -0.104532,
  -0.099274,
  -0.094016,
  -0.088758,
  -0.083499,
  -0.078241,
  -0.072981,
  -0.067722,
  -0.062462,
  -0.057202,
  -0.051941,
  -0.046681,
  -0.041420,
  -0.036159,
  -0.030898,
  -0.025637,
  -0.020376,
  -0.015115,
  -0.009853,
  -0.004592,
  0.000670,
  0.005931,
  0.011193,
  0.016454,
  0.021715,
  0.026977,
  0.032238,
  0.037499,
  0.042760,
  0.048020,
  0.053281,
  0.058541,
  0.063801,
  0.069061,
  0.074320,
  0.079580,
  0.084838,
  0.090097,
  0.095355,
  0.100613,
  0.105870,
  0.111127,
  0.116384,
  0.121640,
  0.126895,
  0.132150,
  0.137404,
  0.142658,
  0.147912,
  0.153164,
  0.158416,
  0.163668,
  0.168919,
  0.174169,
  0.179418,
  0.184667,
  0.189915,
  0.195162,
  0.200408,
  0.205654,
  0.210898,
  0.216142,
  0.221385,
  0.226627,
  0.231868,
  0.237108,
  0.242348,
  0.247586,
  0.252823,
  0.258060,
  0.263295,
  0.268529,
  0.273762,
  0.278994,
  0.284225,
  0.289455,
  0.294683,
  0.299911,
  0.305137,
  0.310362,
  0.315586,
  0.320808,
  0.326029,
  0.331249,
  0.336468,
  0.341685,
  0.346901,
  0.352116,
  0.357329,
  0.362540,
  0.367751,
  0.372960,
  0.378167,
  0.383373,
  0.388577,
  0.393780,
  0.398981,
  0.404181,
  0.409379,
  0.414575,
  0.419770,
  0.424963,
  0.430155,
  0.435345,
  0.440533,
  0.445719,
  0.450904,
  0.456087,
  0.461268,
  0.466448,
  0.471625,
  0.476801,
  0.481975,
  0.487147,
  0.492317,
  0.497485,
  0.502651,
  0.507816,
  0.512978,
  0.518139,
  0.523297,
  0.528454,
  0.533608,
  0.538760,
  0.543911,
  0.549059,
  0.554205,
  0.559349,
  0.564491,
  0.569631,
  0.574768,
  0.579904,
  0.585037,
  0.590168,
  0.595297,
  0.600424,
  0.605548,
  0.610670,
  0.615790,
  0.620907,
  0.626022,
  0.631135,
  0.636245,
  0.641353,
  0.646459,
  0.651562,
  0.656663,
  0.661762,
  0.666858,
  0.671951,
  0.677042,
  0.682131,
  0.687217,
  0.692300,
  0.697381,
  0.702460,
  0.707536,
  0.712609,
  0.717680,
  0.722748,
  0.727813,
  0.732876,
  0.737936,
  0.742994,
  0.748049,
  0.753101,
  0.758151,
  0.763197,
  0.768241,
  0.773283,
  0.778321,
  0.783357,
  0.788390,
  0.793420,
  0.798447,
  0.803472,
  0.808494,
  0.813512,
  0.818528,
  0.823542,
  0.828552,
  0.833559,
  0.838564,
  0.843565,
  0.848564,
  0.853559,
  0.858552,
  0.863542,
  0.868528,
  0.873512,
  0.878493,
  0.883471,
  0.888445,
  0.893417,
  0.898385,
  0.903351,
  0.908313,
  0.913273,
  0.918229,
  0.923182,
  0.928132,
  0.933079,
  0.938023,
  0.942964,
  0.947901,
  0.952836,
  0.957767,
  0.962695,
  0.967620,
  0.972541,
  0.977460,
  0.982375,
  0.987287,
  0.992195,
  0.997101,
  1.002003,
  1.006902,
  1.011797,
  1.016690,
  1.021579,
  1.026464,
  1.031347,
  1.036226,
  1.041102,
  1.045974,
  1.050843,
  1.055709,
  1.060571,
  1.065430,
  1.070286,
  1.075138,
  1.079987,
  1.084832,
  1.089674,
  1.094512,
  1.099348,
  1.104179,
  1.109007,
  1.113832,
  1.118654,
  1.123471,
  1.128286,
  1.133097,
  1.137904,
  1.142708,
  1.147509,
  1.152305,
  1.157099,
  1.161889,
  1.166675,
  1.171458,
  1.176237,
  1.181013,
  1.185785,
  1.190554,
  1.195319,
  1.200081,
  1.204839,
  1.209593,
  1.214344,
  1.219091,
  1.223834,
  1.228574,
  1.233311,
  1.238044,
  1.242773,
  1.247498,
  1.252220,
  1.256938,
  1.261653,
  1.266364,
  1.271071,
  1.275775,
  1.280475,
  1.285172,
  1.289864,
  1.294553,
  1.299239,
  1.303920,
  1.308598,
  1.313273,
  1.317943,
  1.322610,
  1.327274,
  1.331933,
  1.336589,
  1.341241,
  1.345890,
  1.350534,
  1.355175,
  1.359813,
  1.364446,
  1.369076,
  1.373702,
  1.378324,
  1.382943,
  1.387558,
  1.392169,
  1.396776,
  1.401380,
  1.405980,
  1.410576,
  1.415168,
  1.419757,
  1.424342,
  1.428923,
  1.433500,
  1.438074,
  1.442644,
  1.447210,
  1.451772,
  1.456330,
  1.460885,
  1.465436,
  1.469983,
  1.474526,
  1.479066,
  1.483601,
  1.488133,
  1.492661,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492313,
  -1.487784,
  -1.483251,
  -1.478715,
  -1.474175,
  -1.469631,
  -1.465083,
  -1.460532,
  -1.455976,
  -1.451417,
  -1.446854,
  -1.442288,
  -1.437717,
  -1.433143,
  -1.428565,
  -1.423983,
  -1.419397,
  -1.414808,
  -1.410215,
  -1.405618,
  -1.401017,
  -1.396412,
  -1.391804,
  -1.387192,
  -1.382576,
  -1.377957,
  -1.373334,
  -1.368706,
  -1.364076,
  -1.359441,
  -1.354803,
  -1.350161,
  -1.345515,
  -1.340865,
  -1.336212,
  -1.331555,
  -1.326894,
  -1.322230,
  -1.317562,
  -1.312890,
  -1.308214,
  -1.303535,
  -1.298852,
  -1.294166,
  -1.289475,
  -1.284781,
  -1.280083,
  -1.275382,
  -1.270677,
  -1.265968,
  -1.261256,
  -1.256540,
  -1.251820,
  -1.247097,
  -1.242370,
  -1.237639,
  -1.232905,
  -1.228167,
  -1.223425,
  -1.218680,
  -1.213931,
  -1.209179,
  -1.204423,
  -1.199663,
  -1.194900,
  -1.190133,
  -1.185363,
  -1.180589,
  -1.175811,
  -1.171030,
  -1.166245,
  -1.161457,
  -1.156665,
  -1.151870,
  -1.147071,
  -1.142269,
  -1.137463,
  -1.132654,
  -1.127841,
  -1.123024,
  -1.118204,
  -1.113381,
  -1.108554,
  -1.103724,
  -1.098890,
  -1.094053,
  -1.089212,
  -1.084368,
  -1.079520,
  -1.074669,
  -1.069815,
  -1.064957,
  -1.060096,
  -1.055231,
  -1.050363,
  -1.045492,
  -1.040617,
  -1.035739,
  -1.030857,
  -1.025972,
  -1.021084,
  -1.016193,
  -1.011298,
  -1.006400,
  -1.001498,
  -0.996594,
  -0.991686,
  -0.986774,
  -0.981860,
  -0.976942,
  -0.972021,
  -0.967097,
  -0.962169,
  -0.957238,
  -0.952304,
  -0.947367,
  -0.942427,
  -0.937483,
  -0.932537,
  -0.927587,
  -0.922634,
  -0.917678,
  -0.912718,
  -0.907756,
  -0.902791,
  -0.897822,
  -0.892851,
  -0.887876,
  -0.882898,
  -0.877917,
  -0.872933,
  -0.867946,
  -0.862957,
  -0.857964,
  -0.852968,
  -0.847969,
  -0.842967,
  -0.837962,
  -0.832955,
  -0.827944,
  -0.822930,
  -0.817914,
  -0.812894,
  -0.807872,
  -0.802847,
  -0.797819,
  -0.792788,
  -0.787755,
  -0.782718,
  -0.777679,
  -0.772637,
  -0.767592,
  -0.762544,
  -0.757494,
  -0.752441,
  -0.747385,
  -0.742326,
  -0.737265,
  -0.732201,
  -0.727135,
  -0.722065,
  -0.716993,
  -0.711919,
  -0.706842,
  -0.701762,
  -0.696680,
  -0.691595,
  -0.686507,
  -0.681417,
  -0.676325,
  -0.671230,
  -0.666132,
  -0.661032,
  -0.655930,
  -0.650825,
  -0.645718,
  -0.640608,
  -0.635496,
  -0.630381,
  -0.625264,
  -0.620145,
  -0.615023,
  -0.609899,
  -0.604773,
  -0.599645,
  -0.594514,
  -0.589381,
  -0.584245,
  -0.579108,
  -0.573968,
  -0.568826,
  -0.563682,
  -0.558536,
  -0.553387,
  -0.548237,
  -0.543084,
  -0.537929,
  -0.532772,
  -0.527614,
  -0.522453,
  -0.517290,
  -0.512125,
  -0.506958,
  -0.501789,
  -0.496618,
  -0.491445,
  -0.486271,
  -0.481094,
  -0.475915,
  -0.470735,
  -0.465553,
  -0.460369,
  -0.455183,
  -0.449995,
  -0.444806,
  -0.439615,
  -0.434422,
  -0.429227,
  -0.424031,
  -0.418833,
  -0.413634,
  -0.408432,
  -0.403229,
  -0.398025,
  -0.392819,
  -0.387611,
  -0.382402,
  -0.377191,
  -0.371979,
  -0.366765,
  -0.361550,
  -0.356334,
  -0.351116,
  -0.345896,
  -0.340675,
  -0.335453,
  -0.330230,
  -0.325005,
  -0.319779,
  -0.314551,
  -0.309322,
  -0.304092,
  -0.298861,
  -0.293629,
  -0.288395,
  -0.283160,
  -0.277925,
  -0.272687,
  -0.267449,
  -0.262210,
  -0.256970,
  -0.251728,
  -0.246486,
  -0.241243,
  -0.235998,
  -0.230753,
  -0.225507,
  -0.220260,
  -0.215012,
  -0.209763,
  -0.204513,
  -0.199262,
  -0.194011,
  -0.188759,
  -0.183506,
  -0.178252,
  -0.172997,
  -0.167742,
  -0.162486,
  -0.157230,
  -0.151972,
  -0.146715,
  -0.141456,
  -0.136197,
  -0.130938,
  -0.125677,
  -0.120417,
  -0.115156,
  -0.109894,
  -0.104632,
  -0.099370,
  -0.094107,
  -0.088843,
  -0.083580,
  -0.078316,
  -0.073052,
  -0.067787,
  -0.062522,
  -0.057257,
  -0.051992,
  -0.046726,
  -0.041460,
  -0.036194,
  -0.030928,
  -0.025662,
  -0.020396,
  -0.015129,
  -0.009863,
  -0.004596,
  0.000670,
  0.005937,
  0.011204,
  0.016470,
  0.021736,
  0.027003,
  0.032269,
  0.037535,
  0.042801,
  0.048067,
  0.053332,
  0.058598,
  0.063863,
  0.069127,
  0.074392,
  0.079656,
  0.084920,
  0.090184,
  0.095447,
  0.100710,
  0.105972,
  0.111234,
  0.116495,
  0.121756,
  0.127017,
  0.132277,
  0.137536,
  0.142795,
  0.148053,
  0.153311,
  0.158568,
  0.163824,
  0.169080,
  0.174335,
  0.179589,
  0.184843,
  0.190096,
  0.195348,
  0.200599,
  0.205850,
  0.211099,
  0.216348,
  0.221596,
  0.226843,
  0.232089,
  0.237334,
  0.242578,
  0.247821,
  0.253063,
  0.258304,
  0.263544,
  0.268783,
  0.274021,
  0.279258,
  0.284493,
  0.289728,
  0.294961,
  0.300193,
  0.305424,
  0.310654,
  0.315882,
  0.321109,
  0.326335,
  0.331560,
  0.336783,
  0.342005,
  0.347225,
  0.352444,
  0.357662,
  0.362878,
  0.368093,
  0.373306,
  0.378518,
  0.383729,
  0.388937,
  0.394144,
  0.399350,
  0.404554,
  0.409757,
  0.414958,
  0.420157,
  0.425354,
  0.430550,
  0.435744,
  0.440937,
  0.446127,
  0.451316,
  0.456504,
  0.461689,
  0.466873,
  0.472054,
  0.477234,
  0.482412,
  0.487588,
  0.492763,
  0.497935,
  0.503105,
  0.508274,
  0.513440,
  0.518604,
  0.523767,
  0.528927,
  0.534086,
  0.539242,
  0.544396,
  0.549548,
  0.554698,
  0.559846,
  0.564992,
  0.570136,
  0.575277,
  0.580416,
  0.585553,
  0.590688,
  0.595820,
  0.600951,
  0.606079,
  0.611204,
  0.616328,
  0.621449,
  0.626567,
  0.631684,
  0.636798,
  0.641909,
  0.647018,
  0.652125,
  0.657229,
  0.662331,
  0.667430,
  0.672527,
  0.677622,
  0.682714,
  0.687803,
  0.692890,
  0.697974,
  0.703056,
  0.708135,
  0.713211,
  0.718285,
  0.723356,
  0.728425,
  0.733491,
  0.738554,
  0.743615,
  0.748672,
  0.753728,
  0.758780,
  0.763830,
  0.768877,
  0.773921,
  0.778962,
  0.784001,
  0.789037,
  0.794069,
  0.799100,
  0.804127,
  0.809151,
  0.814173,
  0.819191,
  0.824207,
  0.829220,
  0.834230,
  0.839237,
  0.844241,
  0.849242,
  0.854240,
  0.859235,
  0.864227,
  0.869217,
  0.874203,
  0.879186,
  0.884166,
  0.889143,
  0.894117,
  0.899087,
  0.904055,
  0.909020,
  0.913981,
  0.918940,
  0.923895,
  0.928847,
  0.933796,
  0.938742,
  0.943685,
  0.948625,
  0.953561,
  0.958494,
  0.963424,
  0.968351,
  0.973274,
  0.978194,
  0.983111,
  0.988025,
  0.992936,
  0.997843,
  1.002747,
  1.007647,
  1.012545,
  1.017439,
  1.022329,
  1.027217,
  1.032101,
  1.036981,
  1.041858,
  1.046732,
  1.051603,
  1.056470,
  1.061334,
  1.066194,
  1.071051,
  1.075905,
  1.080755,
  1.085602,
  1.090445,
  1.095285,
  1.100121,
  1.104954,
  1.109784,
  1.114609,
  1.119432,
  1.124251,
  1.129066,
  1.133878,
  1.138687,
  1.143492,
  1.148293,
  1.153091,
  1.157886,
  1.162677,
  1.167464,
  1.172248,
  1.177028,
  1.181805,
  1.186578,
  1.191347,
  1.196113,
  1.200875,
  1.205634,
  1.210389,
  1.215141,
  1.219888,
  1.224633,
  1.229373,
  1.234110,
  1.238844,
  1.243574,
  1.248300,
  1.253022,
  1.257741,
  1.262456,
  1.267167,
  1.271875,
  1.276579,
  1.281280,
  1.285977,
  1.290670,
  1.295359,
  1.300045,
  1.304727,
  1.309405,
  1.314080,
  1.318751,
  1.323418,
  1.328081,
  1.332741,
  1.337397,
  1.342050,
  1.346698,
  1.351343,
  1.355984,
  1.360621,
  1.365255,
  1.369885,
  1.374511,
  1.379133,
  1.383752,
  1.388367,
  1.392978,
  1.397585,
  1.402189,
  1.406789,
  1.411385,
  1.415977,
  1.420565,
  1.425150,
  1.429731,
  1.434308,
  1.438881,
  1.443451,
  1.448017,
  1.452579,
  1.457137,
  1.461691,
  1.466242,
  1.470788,
  1.475331,
  1.479870,
  1.484406,
  1.488937,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.488646,
  -1.484114,
  -1.479578,
  -1.475039,
  -1.470495,
  -1.465948,
  -1.461397,
  -1.456842,
  -1.452283,
  -1.447720,
  -1.443154,
  -1.438583,
  -1.434009,
  -1.429432,
  -1.424850,
  -1.420264,
  -1.415675,
  -1.411082,
  -1.406485,
  -1.401885,
  -1.397280,
  -1.392672,
  -1.388060,
  -1.383444,
  -1.378825,
  -1.374201,
  -1.369574,
  -1.364943,
  -1.360309,
  -1.355670,
  -1.351028,
  -1.346382,
  -1.341733,
  -1.337079,
  -1.332422,
  -1.327761,
  -1.323096,
  -1.318428,
  -1.313756,
  -1.309080,
  -1.304400,
  -1.299717,
  -1.295030,
  -1.290339,
  -1.285645,
  -1.280947,
  -1.276245,
  -1.271539,
  -1.266830,
  -1.262117,
  -1.257401,
  -1.252680,
  -1.247956,
  -1.243229,
  -1.238497,
  -1.233762,
  -1.229024,
  -1.224281,
  -1.219536,
  -1.214786,
  -1.210033,
  -1.205276,
  -1.200516,
  -1.195752,
  -1.190984,
  -1.186213,
  -1.181438,
  -1.176659,
  -1.171877,
  -1.167091,
  -1.162302,
  -1.157509,
  -1.152713,
  -1.147913,
  -1.143110,
  -1.138303,
  -1.133492,
  -1.128678,
  -1.123860,
  -1.119039,
  -1.114215,
  -1.109387,
  -1.104555,
  -1.099720,
  -1.094881,
  -1.090039,
  -1.085194,
  -1.080345,
  -1.075492,
  -1.070636,
  -1.065777,
  -1.060914,
  -1.056048,
  -1.051178,
  -1.046305,
  -1.041429,
  -1.036549,
  -1.031666,
  -1.026779,
  -1.021889,
  -1.016996,
  -1.012100,
  -1.007200,
  -1.002296,
  -0.997390,
  -0.992480,
  -0.987567,
  -0.982650,
  -0.977730,
  -0.972807,
  -0.967881,
  -0.962951,
  -0.958018,
  -0.953082,
  -0.948143,
  -0.943201,
  -0.938255,
  -0.933306,
  -0.928354,
  -0.923399,
  -0.918440,
  -0.913479,
  -0.908514,
  -0.903546,
  -0.898575,
  -0.893601,
  -0.888624,
  -0.883644,
  -0.878660,
  -0.873674,
  -0.868685,
  -0.863692,
  -0.858697,
  -0.853698,
  -0.848697,
  -0.843692,
  -0.838684,
  -0.833674,
  -0.828661,
  -0.823644,
  -0.818625,
  -0.813603,
  -0.808578,
  -0.803549,
  -0.798519,
  -0.793485,
  -0.788448,
  -0.783409,
  -0.778366,
  -0.773321,
  -0.768273,
  -0.763222,
  -0.758169,
  -0.753113,
  -0.748054,
  -0.742992,
  -0.737927,
  -0.732860,
  -0.727790,
  -0.722718,
  -0.717642,
  -0.712565,
  -0.707484,
  -0.702401,
  -0.697315,
  -0.692227,
  -0.687136,
  -0.682042,
  -0.676946,
  -0.671848,
  -0.666746,
  -0.661643,
  -0.656537,
  -0.651428,
  -0.646317,
  -0.641204,
  -0.636088,
  -0.630969,
  -0.625849,
  -0.620726,
  -0.615600,
  -0.610472,
  -0.605342,
  -0.600210,
  -0.595075,
  -0.589938,
  -0.584799,
  -0.579657,
  -0.574513,
  -0.569367,
  -0.564219,
  -0.559069,
  -0.553916,
  -0.548761,
  -0.543605,
  -0.538446,
  -0.533285,
  -0.528121,
  -0.522956,
  -0.517789,
  -0.512620,
  -0.507448,
  -0.502275,
  -0.497100,
  -0.491923,
  -0.486744,
  -0.481563,
  -0.476380,
  -0.471195,
  -0.466008,
  -0.460820,
  -0.455629,
  -0.450437,
  -0.445243,
  -0.440047,
  -0.434850,
  -0.429651,
  -0.424450,
  -0.419247,
  -0.414043,
  -0.408837,
  -0.403629,
  -0.398420,
  -0.393209,
  -0.387997,
  -0.382783,
  -0.377567,
  -0.372350,
  -0.367132,
  -0.361912,
  -0.356690,
  -0.351467,
  -0.346243,
  -0.341017,
  -0.335790,
  -0.330562,
  -0.325332,
  -0.320101,
  -0.314868,
  -0.309635,
  -0.304400,
  -0.299163,
  -0.293926,
  -0.288687,
  -0.283447,
  -0.278206,
  -0.272964,
  -0.267721,
  -0.262477,
  -0.257231,
  -0.251985,
  -0.246737,
  -0.241489,
  -0.236239,
  -0.230989,
  -0.225737,
  -0.220485,
  -0.215231,
  -0.209977,
  -0.204722,
  -0.199466,
  -0.194210,
  -0.188952,
  -0.183694,
  -0.178435,
  -0.173175,
  -0.167914,
  -0.162653,
  -0.157391,
  -0.152129,
  -0.146866,
  -0.141602,
  -0.136337,
  -0.131072,
  -0.125807,
  -0.120541,
  -0.115274,
  -0.110007,
  -0.104740,
  -0.099472,
  -0.094204,
  -0.088935,
  -0.083666,
  -0.078397,
  -0.073127,
  -0.067857,
  -0.062587,
  -0.057316,
  -0.052045,
  -0.046774,
  -0.041503,
  -0.036232,
  -0.030960,
  -0.025688,
  -0.020417,
  -0.015145,
  -0.009873,
  -0.004601,
  0.000671,
  0.005943,
  0.011215,
  0.016487,
  0.021759,
  0.027031,
  0.032302,
  0.037574,
  0.042845,
  0.048116,
  0.053387,
  0.058658,
  0.063929,
  0.069199,
  0.074469,
  0.079738,
  0.085008,
  0.090277,
  0.095545,
  0.100813,
  0.106081,
  0.111349,
  0.116615,
  0.121882,
  0.127148,
  0.132413,
  0.137678,
  0.142942,
  0.148206,
  0.153469,
  0.158731,
  0.163993,
  0.169254,
  0.174514,
  0.179774,
  0.185033,
  0.190291,
  0.195548,
  0.200805,
  0.206060,
  0.211315,
  0.216569,
  0.221822,
  0.227074,
  0.232326,
  0.237576,
  0.242825,
  0.248073,
  0.253321,
  0.258567,
  0.263812,
  0.269056,
  0.274299,
  0.279541,
  0.284782,
  0.290021,
  0.295260,
  0.300497,
  0.305733,
  0.310967,
  0.316201,
  0.321433,
  0.326664,
  0.331893,
  0.337121,
  0.342348,
  0.347573,
  0.352797,
  0.358020,
  0.363241,
  0.368461,
  0.373679,
  0.378896,
  0.384111,
  0.389324,
  0.394536,
  0.399747,
  0.404955,
  0.410163,
  0.415368,
  0.420572,
  0.425774,
  0.430975,
  0.436174,
  0.441371,
  0.446566,
  0.451759,
  0.456951,
  0.462141,
  0.467329,
  0.472515,
  0.477700,
  0.482882,
  0.488063,
  0.493241,
  0.498418,
  0.503593,
  0.508765,
  0.513936,
  0.519105,
  0.524272,
  0.529436,
  0.534599,
  0.539759,
  0.544918,
  0.550074,
  0.555228,
  0.560380,
  0.565530,
  0.570678,
  0.575823,
  0.580966,
  0.586107,
  0.591246,
  0.596383,
  0.601517,
  0.606649,
  0.611778,
  0.616905,
  0.622030,
  0.627153,
  0.632273,
  0.637391,
  0.642506,
  0.647619,
  0.652729,
  0.657837,
  0.662943,
  0.668046,
  0.673146,
  0.678244,
  0.683339,
  0.688432,
  0.693523,
  0.698610,
  0.703695,
  0.708778,
  0.713858,
  0.718935,
  0.724009,
  0.729081,
  0.734151,
  0.739217,
  0.744281,
  0.749342,
  0.754400,
  0.759456,
  0.764509,
  0.769559,
  0.774606,
  0.779650,
  0.784692,
  0.789731,
  0.794767,
  0.799800,
  0.804830,
  0.809857,
  0.814882,
  0.819903,
  0.824922,
  0.829937,
  0.834950,
  0.839960,
  0.844967,
  0.849970,
  0.854971,
  0.859969,
  0.864964,
  0.869955,
  0.874944,
  0.879930,
  0.884912,
  0.889892,
  0.894868,
  0.899841,
  0.904811,
  0.909778,
  0.914742,
  0.919703,
  0.924661,
  0.929615,
  0.934566,
  0.939514,
  0.944459,
  0.949401,
  0.954339,
  0.959275,
  0.964207,
  0.969135,
  0.974061,
  0.978983,
  0.983902,
  0.988818,
  0.993730,
  0.998639,
  1.003545,
  1.008447,
  1.013347,
  1.018242,
  1.023135,
  1.028024,
  1.032910,
  1.037792,
  1.042671,
  1.047546,
  1.052418,
  1.057287,
  1.062153,
  1.067014,
  1.071873,
  1.076728,
  1.081580,
  1.086428,
  1.091272,
  1.096114,
  1.100951,
  1.105785,
  1.110616,
  1.115443,
  1.120267,
  1.125087,
  1.129904,
  1.134717,
  1.139527,
  1.144333,
  1.149136,
  1.153935,
  1.158730,
  1.163522,
  1.168310,
  1.173095,
  1.177876,
  1.182654,
  1.187428,
  1.192198,
  1.196965,
  1.201728,
  1.206488,
  1.211243,
  1.215996,
  1.220744,
  1.225489,
  1.230231,
  1.234968,
  1.239702,
  1.244433,
  1.249159,
  1.253882,
  1.258602,
  1.263317,
  1.268029,
  1.272738,
  1.277442,
  1.282143,
  1.286841,
  1.291534,
  1.296224,
  1.300910,
  1.305592,
  1.310271,
  1.314946,
  1.319617,
  1.324284,
  1.328948,
  1.333608,
  1.338264,
  1.342917,
  1.347566,
  1.352211,
  1.356852,
  1.361489,
  1.366123,
  1.370753,
  1.375379,
  1.380001,
  1.384620,
  1.389235,
  1.393846,
  1.398453,
  1.403056,
  1.407656,
  1.412252,
  1.416844,
  1.421432,
  1.426017,
  1.430598,
  1.435174,
  1.439747,
  1.444317,
  1.448882,
  1.453444,
  1.458002,
  1.462556,
  1.467106,
  1.471652,
  1.476195,
  1.480734,
  1.485269,
  1.489800,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.489567,
  -1.485036,
  -1.480500,
  -1.475961,
  -1.471418,
  -1.466871,
  -1.462320,
  -1.457765,
  -1.453207,
  -1.448645,
  -1.444078,
  -1.439508,
  -1.434935,
  -1.430357,
  -1.425776,
  -1.421190,
  -1.416601,
  -1.412008,
  -1.407412,
  -1.402811,
  -1.398207,
  -1.393599,
  -1.388987,
  -1.384371,
  -1.379751,
  -1.375128,
  -1.370501,
  -1.365870,
  -1.361235,
  -1.356597,
  -1.351955,
  -1.347309,
  -1.342659,
  -1.338005,
  -1.333348,
  -1.328687,
  -1.324022,
  -1.319353,
  -1.314681,
  -1.310004,
  -1.305325,
  -1.300641,
  -1.295953,
  -1.291262,
  -1.286567,
  -1.281869,
  -1.277166,
  -1.272460,
  -1.267751,
  -1.263037,
  -1.258320,
  -1.253599,
  -1.248875,
  -1.244146,
  -1.239414,
  -1.234679,
  -1.229939,
  -1.225196,
  -1.220450,
  -1.215699,
  -1.210945,
  -1.206188,
  -1.201426,
  -1.196661,
  -1.191893,
  -1.187121,
  -1.182345,
  -1.177565,
  -1.172782,
  -1.167995,
  -1.163205,
  -1.158411,
  -1.153614,
  -1.148813,
  -1.144008,
  -1.139200,
  -1.134388,
  -1.129573,
  -1.124754,
  -1.119931,
  -1.115106,
  -1.110276,
  -1.105443,
  -1.100606,
  -1.095766,
  -1.090923,
  -1.086076,
  -1.081225,
  -1.076371,
  -1.071514,
  -1.066653,
  -1.061788,
  -1.056921,
  -1.052049,
  -1.047175,
  -1.042296,
  -1.037415,
  -1.032530,
  -1.027642,
  -1.022750,
  -1.017855,
  -1.012956,
  -1.008054,
  -1.003149,
  -0.998240,
  -0.993328,
  -0.988413,
  -0.983495,
  -0.978573,
  -0.973647,
  -0.968719,
  -0.963787,
  -0.958852,
  -0.953914,
  -0.948972,
  -0.944028,
  -0.939080,
  -0.934128,
  -0.929174,
  -0.924216,
  -0.919255,
  -0.914291,
  -0.909324,
  -0.904354,
  -0.899380,
  -0.894404,
  -0.889424,
  -0.884441,
  -0.879455,
  -0.874466,
  -0.869474,
  -0.864478,
  -0.859480,
  -0.854479,
  -0.849474,
  -0.844467,
  -0.839456,
  -0.834443,
  -0.829427,
  -0.824407,
  -0.819385,
  -0.814360,
  -0.809331,
  -0.804300,
  -0.799266,
  -0.794229,
  -0.789190,
  -0.784147,
  -0.779101,
  -0.774053,
  -0.769002,
  -0.763948,
  -0.758891,
  -0.753831,
  -0.748769,
  -0.743703,
  -0.738635,
  -0.733565,
  -0.728491,
  -0.723415,
  -0.718336,
  -0.713255,
  -0.708171,
  -0.703084,
  -0.697994,
  -0.692902,
  -0.687808,
  -0.682710,
  -0.677611,
  -0.672508,
  -0.667403,
  -0.662296,
  -0.657186,
  -0.652073,
  -0.646958,
  -0.641841,
  -0.636721,
  -0.631598,
  -0.626474,
  -0.621346,
  -0.616217,
  -0.611085,
  -0.605951,
  -0.600814,
  -0.595675,
  -0.590534,
  -0.585390,
  -0.580244,
  -0.575096,
  -0.569946,
  -0.564793,
  -0.559639,
  -0.554482,
  -0.549322,
  -0.544161,
  -0.538998,
  -0.533832,
  -0.528665,
  -0.523495,
  -0.518323,
  -0.513149,
  -0.507973,
  -0.502795,
  -0.497615,
  -0.492434,
  -0.487250,
  -0.482064,
  -0.476876,
  -0.471687,
  -0.466495,
  -0.461302,
  -0.456107,
  -0.450910,
  -0.445711,
  -0.440510,
  -0.435308,
  -0.430104,
  -0.424898,
  -0.419690,
  -0.414481,
  -0.409270,
  -0.404057,
  -0.398843,
  -0.393627,
  -0.388409,
  -0.383190,
  -0.377970,
  -0.372748,
  -0.367524,
  -0.362299,
  -0.357072,
  -0.351844,
  -0.346614,
  -0.341383,
  -0.336151,
  -0.330917,
  -0.325682,
  -0.320445,
  -0.315208,
  -0.309969,
  -0.304728,
  -0.299487,
  -0.294244,
  -0.289000,
  -0.283754,
  -0.278508,
  -0.273260,
  -0.268012,
  -0.262762,
  -0.257511,
  -0.252259,
  -0.247006,
  -0.241752,
  -0.236497,
  -0.231240,
  -0.225983,
  -0.220725,
  -0.215467,
  -0.210207,
  -0.204946,
  -0.199685,
  -0.194422,
  -0.189159,
  -0.183895,
  -0.178630,
  -0.173365,
  -0.168099,
  -0.162832,
  -0.157564,
  -0.152296,
  -0.147027,
  -0.141758,
  -0.136487,
  -0.131217,
  -0.125946,
  -0.120674,
  -0.115401,
  -0.110129,
  -0.104856,
  -0.099582,
  -0.094308,
  -0.089033,
  -0.083758,
  -0.078483,
  -0.073208,
  -0.067932,
  -0.062656,
  -0.057379,
  -0.052103,
  -0.046826,
  -0.041549,
  -0.036272,
  -0.030994,
  -0.025717,
  -0.020439,
  -0.015161,
  -0.009884,
  -0.004606,
  0.000672,
  0.005950,
  0.011228,
  0.016505,
  0.021783,
  0.027061,
  0.032338,
  0.037615,
  0.042893,
  0.048170,
  0.053446,
  0.058723,
  0.063999,
  0.069275,
  0.074551,
  0.079826,
  0.085102,
  0.090376,
  0.095651,
  0.100925,
  0.106198,
  0.111471,
  0.116744,
  0.122016,
  0.127288,
  0.132559,
  0.137829,
  0.143099,
  0.148369,
  0.153637,
  0.158905,
  0.164173,
  0.169440,
  0.174706,
  0.179971,
  0.185235,
  0.190499,
  0.195762,
  0.201024,
  0.206286,
  0.211546,
  0.216806,
  0.222064,
  0.227322,
  0.232579,
  0.237835,
  0.243089,
  0.248343,
  0.253596,
  0.258848,
  0.264098,
  0.269348,
  0.274596,
  0.279844,
  0.285090,
  0.290335,
  0.295579,
  0.300821,
  0.306063,
  0.311303,
  0.316541,
  0.321779,
  0.327015,
  0.332250,
  0.337483,
  0.342715,
  0.347946,
  0.353175,
  0.358403,
  0.363629,
  0.368854,
  0.374077,
  0.379299,
  0.384519,
  0.389738,
  0.394955,
  0.400171,
  0.405385,
  0.410597,
  0.415807,
  0.421016,
  0.426223,
  0.431429,
  0.436633,
  0.441834,
  0.447035,
  0.452233,
  0.457430,
  0.462624,
  0.467817,
  0.473008,
  0.478197,
  0.483385,
  0.488570,
  0.493753,
  0.498935,
  0.504114,
  0.509291,
  0.514467,
  0.519640,
  0.524811,
  0.529980,
  0.535148,
  0.540313,
  0.545475,
  0.550636,
  0.555795,
  0.560951,
  0.566105,
  0.571257,
  0.576407,
  0.581555,
  0.586700,
  0.591843,
  0.596984,
  0.602122,
  0.607258,
  0.612392,
  0.617523,
  0.622652,
  0.627779,
  0.632903,
  0.638025,
  0.643144,
  0.648261,
  0.653375,
  0.658487,
  0.663596,
  0.668703,
  0.673808,
  0.678909,
  0.684008,
  0.689105,
  0.694199,
  0.699291,
  0.704379,
  0.709465,
  0.714549,
  0.719630,
  0.724708,
  0.729783,
  0.734856,
  0.739926,
  0.744993,
  0.750058,
  0.755120,
  0.760179,
  0.765235,
  0.770288,
  0.775339,
  0.780386,
  0.785431,
  0.790473,
  0.795512,
  0.800548,
  0.805582,
  0.810612,
  0.815639,
  0.820664,
  0.825686,
  0.830704,
  0.835720,
  0.840733,
  0.845742,
  0.850749,
  0.855752,
  0.860753,
  0.865750,
  0.870745,
  0.875736,
  0.880725,
  0.885710,
  0.890692,
  0.895671,
  0.900647,
  0.905620,
  0.910589,
  0.915555,
  0.920519,
  0.925479,
  0.930436,
  0.935389,
  0.940340,
  0.945287,
  0.950231,
  0.955172,
  0.960109,
  0.965043,
  0.969974,
  0.974902,
  0.979826,
  0.984747,
  0.989665,
  0.994579,
  0.999490,
  1.004398,
  1.009303,
  1.014204,
  1.019101,
  1.023996,
  1.028886,
  1.033774,
  1.038658,
  1.043539,
  1.048416,
  1.053290,
  1.058160,
  1.063027,
  1.067891,
  1.072751,
  1.077608,
  1.082461,
  1.087310,
  1.092156,
  1.096999,
  1.101838,
  1.106674,
  1.111506,
  1.116335,
  1.121160,
  1.125981,
  1.130799,
  1.135614,
  1.140424,
  1.145232,
  1.150036,
  1.154836,
  1.159632,
  1.164425,
  1.169215,
  1.174000,
  1.178783,
  1.183561,
  1.188336,
  1.193107,
  1.197875,
  1.202639,
  1.207399,
  1.212156,
  1.216909,
  1.221659,
  1.226404,
  1.231146,
  1.235885,
  1.240619,
  1.245350,
  1.250078,
  1.254802,
  1.259521,
  1.264238,
  1.268950,
  1.273659,
  1.278364,
  1.283066,
  1.287763,
  1.292457,
  1.297147,
  1.301834,
  1.306516,
  1.311195,
  1.315871,
  1.320542,
  1.325210,
  1.329874,
  1.334534,
  1.339190,
  1.343843,
  1.348492,
  1.353137,
  1.357778,
  1.362416,
  1.367050,
  1.371680,
  1.376306,
  1.380928,
  1.385547,
  1.390161,
  1.394772,
  1.399379,
  1.403983,
  1.408582,
  1.413178,
  1.417770,
  1.422358,
  1.426942,
  1.431523,
  1.436100,
  1.440672,
  1.445241,
  1.449807,
  1.454368,
  1.458925,
  1.463479,
  1.468029,
  1.472575,
  1.477117,
  1.481655,
  1.486190,
  1.490720,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.490547,
  -1.486015,
  -1.481480,
  -1.476942,
  -1.472399,
  -1.467852,
  -1.463302,
  -1.458748,
  -1.454190,
  -1.449628,
  -1.445062,
  -1.440492,
  -1.435919,
  -1.431341,
  -1.426760,
  -1.422175,
  -1.417586,
  -1.412994,
  -1.408397,
  -1.403797,
  -1.399192,
  -1.394584,
  -1.389973,
  -1.385357,
  -1.380737,
  -1.376114,
  -1.371487,
  -1.366856,
  -1.362221,
  -1.357583,
  -1.352940,
  -1.348294,
  -1.343644,
  -1.338990,
  -1.334333,
  -1.329671,
  -1.325006,
  -1.320337,
  -1.315664,
  -1.310988,
  -1.306308,
  -1.301624,
  -1.296936,
  -1.292244,
  -1.287549,
  -1.282850,
  -1.278147,
  -1.273440,
  -1.268730,
  -1.264016,
  -1.259298,
  -1.254577,
  -1.249852,
  -1.245123,
  -1.240390,
  -1.235654,
  -1.230914,
  -1.226170,
  -1.221422,
  -1.216671,
  -1.211916,
  -1.207158,
  -1.202395,
  -1.197630,
  -1.192860,
  -1.188087,
  -1.183310,
  -1.178530,
  -1.173745,
  -1.168957,
  -1.164166,
  -1.159371,
  -1.154572,
  -1.149770,
  -1.144964,
  -1.140155,
  -1.135342,
  -1.130525,
  -1.125705,
  -1.120881,
  -1.116054,
  -1.111223,
  -1.106388,
  -1.101550,
  -1.096709,
  -1.091864,
  -1.087015,
  -1.082163,
  -1.077307,
  -1.072448,
  -1.067585,
  -1.062719,
  -1.057850,
  -1.052976,
  -1.048100,
  -1.043220,
  -1.038337,
  -1.033450,
  -1.028559,
  -1.023666,
  -1.018768,
  -1.013868,
  -1.008964,
  -1.004057,
  -0.999146,
  -0.994232,
  -0.989314,
  -0.984394,
  -0.979469,
  -0.974542,
  -0.969611,
  -0.964677,
  -0.959740,
  -0.954799,
  -0.949855,
  -0.944908,
  -0.939957,
  -0.935004,
  -0.930047,
  -0.925086,
  -0.920123,
  -0.915156,
  -0.910186,
  -0.905213,
  -0.900237,
  -0.895258,
  -0.890275,
  -0.885290,
  -0.880301,
  -0.875309,
  -0.870314,
  -0.865315,
  -0.860314,
  -0.855310,
  -0.850303,
  -0.845292,
  -0.840279,
  -0.835262,
  -0.830243,
  -0.825220,
  -0.820194,
  -0.815166,
  -0.810134,
  -0.805100,
  -0.800063,
  -0.795022,
  -0.789979,
  -0.784933,
  -0.779884,
  -0.774832,
  -0.769777,
  -0.764720,
  -0.759659,
  -0.754596,
  -0.749530,
  -0.744461,
  -0.739389,
  -0.734315,
  -0.729238,
  -0.724158,
  -0.719075,
  -0.713990,
  -0.708902,
  -0.703811,
  -0.698718,
  -0.693622,
  -0.688523,
  -0.683422,
  -0.678318,
  -0.673212,
  -0.668103,
  -0.662991,
  -0.657877,
  -0.652760,
  -0.647641,
  -0.642519,
  -0.637395,
  -0.632268,
  -0.627139,
  -0.622008,
  -0.616874,
  -0.611737,
  -0.606599,
  -0.601458,
  -0.596314,
  -0.591168,
  -0.586020,
  -0.580870,
  -0.575717,
  -0.570562,
  -0.565405,
  -0.560246,
  -0.555084,
  -0.549920,
  -0.544754,
  -0.539586,
  -0.534416,
  -0.529243,
  -0.524069,
  -0.518892,
  -0.513713,
  -0.508532,
  -0.503349,
  -0.498165,
  -0.492978,
  -0.487789,
  -0.482598,
  -0.477405,
  -0.472211,
  -0.467014,
  -0.461816,
  -0.456615,
  -0.451413,
  -0.446209,
  -0.441003,
  -0.435795,
  -0.430586,
  -0.425375,
  -0.420162,
  -0.414947,
  -0.409731,
  -0.404513,
  -0.399293,
  -0.394072,
  -0.388849,
  -0.383625,
  -0.378398,
  -0.373171,
  -0.367942,
  -0.362711,
  -0.357479,
  -0.352245,
  -0.347010,
  -0.341773,
  -0.336535,
  -0.331296,
  -0.326055,
  -0.320813,
  -0.315569,
  -0.310324,
  -0.305078,
  -0.299831,
  -0.294582,
  -0.289332,
  -0.284081,
  -0.278829,
  -0.273576,
  -0.268321,
  -0.263065,
  -0.257809,
  -0.252551,
  -0.247292,
  -0.242032,
  -0.236771,
  -0.231509,
  -0.226246,
  -0.220982,
  -0.215717,
  -0.210451,
  -0.205185,
  -0.199917,
  -0.194649,
  -0.189380,
  -0.184110,
  -0.178839,
  -0.173567,
  -0.168295,
  -0.163022,
  -0.157748,
  -0.152474,
  -0.147199,
  -0.141924,
  -0.136647,
  -0.131371,
  -0.126093,
  -0.120815,
  -0.115537,
  -0.110258,
  -0.104979,
  -0.099699,
  -0.094419,
  -0.089138,
  -0.083857,
  -0.078576,
  -0.073294,
  -0.068012,
  -0.062729,
  -0.057447,
  -0.052164,
  -0.046881,
  -0.041598,
  -0.036314,
  -0.031031,
  -0.025747,
  -0.020463,
  -0.015179,
  -0.009895,
  -0.004611,
  0.000673,
  0.005957,
  0.011241,
  0.016525,
  0.021809,
  0.027092,
  0.032376,
  0.037660,
  0.042943,
  0.048226,
  0.053509,
  0.058792,
  0.064074,
  0.069357,
  0.074639,
  0.079920,
  0.085202,
  0.090482,
  0.095763,
  0.101043,
  0.106323,
  0.111602,
  0.116881,
  0.122159,
  0.127437,
  0.132714,
  0.137991,
  0.143267,
  0.148542,
  0.153817,
  0.159091,
  0.164365,
  0.169638,
  0.174910,
  0.180181,
  0.185452,
  0.190721,
  0.195990,
  0.201258,
  0.206526,
  0.211792,
  0.217058,
  0.222322,
  0.227586,
  0.232849,
  0.238111,
  0.243371,
  0.248631,
  0.253890,
  0.259147,
  0.264404,
  0.269659,
  0.274913,
  0.280167,
  0.285419,
  0.290669,
  0.295919,
  0.301167,
  0.306414,
  0.311660,
  0.316904,
  0.322148,
  0.327389,
  0.332630,
  0.337869,
  0.343107,
  0.348343,
  0.353578,
  0.358811,
  0.364043,
  0.369273,
  0.374502,
  0.379729,
  0.384955,
  0.390179,
  0.395402,
  0.400622,
  0.405842,
  0.411059,
  0.416275,
  0.421489,
  0.426702,
  0.431913,
  0.437122,
  0.442329,
  0.447534,
  0.452738,
  0.457940,
  0.463139,
  0.468337,
  0.473533,
  0.478728,
  0.483920,
  0.489110,
  0.494299,
  0.499485,
  0.504669,
  0.509852,
  0.515032,
  0.520210,
  0.525386,
  0.530560,
  0.535732,
  0.540902,
  0.546070,
  0.551235,
  0.556398,
  0.561559,
  0.566718,
  0.571875,
  0.577029,
  0.582181,
  0.587331,
  0.592479,
  0.597624,
  0.602767,
  0.607907,
  0.613045,
  0.618181,
  0.623315,
  0.628445,
  0.633574,
  0.638700,
  0.643824,
  0.648945,
  0.654063,
  0.659179,
  0.664293,
  0.669404,
  0.674512,
  0.679618,
  0.684721,
  0.689822,
  0.694920,
  0.700015,
  0.705108,
  0.710198,
  0.715285,
  0.720370,
  0.725452,
  0.730531,
  0.735607,
  0.740681,
  0.745752,
  0.750820,
  0.755886,
  0.760948,
  0.766008,
  0.771065,
  0.776119,
  0.781170,
  0.786218,
  0.791263,
  0.796306,
  0.801345,
  0.806382,
  0.811416,
  0.816447,
  0.821474,
  0.826499,
  0.831521,
  0.836540,
  0.841555,
  0.846568,
  0.851578,
  0.856584,
  0.861588,
  0.866588,
  0.871586,
  0.876580,
  0.881571,
  0.886559,
  0.891544,
  0.896526,
  0.901505,
  0.906480,
  0.911452,
  0.916421,
  0.921387,
  0.926350,
  0.931309,
  0.936265,
  0.941218,
  0.946168,
  0.951114,
  0.956057,
  0.960997,
  0.965934,
  0.970867,
  0.975797,
  0.980724,
  0.985647,
  0.990567,
  0.995483,
  1.000397,
  1.005306,
  1.010213,
  1.015116,
  1.020016,
  1.024912,
  1.029805,
  1.034694,
  1.039580,
  1.044463,
  1.049342,
  1.054218,
  1.059090,
  1.063959,
  1.068824,
  1.073686,
  1.078544,
  1.083398,
  1.088250,
  1.093097,
  1.097942,
  1.102782,
  1.107620,
  1.112453,
  1.117283,
  1.122110,
  1.126932,
  1.131752,
  1.136568,
  1.141380,
  1.146188,
  1.150993,
  1.155795,
  1.160592,
  1.165386,
  1.170177,
  1.174964,
  1.179747,
  1.184527,
  1.189303,
  1.194075,
  1.198843,
  1.203608,
  1.208370,
  1.213127,
  1.217881,
  1.222631,
  1.227378,
  1.232121,
  1.236860,
  1.241595,
  1.246327,
  1.251055,
  1.255779,
  1.260500,
  1.265217,
  1.269930,
  1.274639,
  1.279345,
  1.284047,
  1.288745,
  1.293439,
  1.298130,
  1.302817,
  1.307500,
  1.312179,
  1.316855,
  1.321526,
  1.326194,
  1.330858,
  1.335519,
  1.340176,
  1.344828,
  1.349477,
  1.354123,
  1.358764,
  1.363402,
  1.368035,
  1.372665,
  1.377292,
  1.381914,
  1.386532,
  1.391147,
  1.395758,
  1.400365,
  1.404968,
  1.409568,
  1.414163,
  1.418755,
  1.423343,
  1.427927,
  1.432507,
  1.437084,
  1.441656,
  1.446225,
  1.450790,
  1.455351,
  1.459908,
  1.464461,
  1.469010,
  1.473556,
  1.478098,
  1.482636,
  1.487170,
  1.491700,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.491585,
  -1.487054,
  -1.482520,
  -1.477981,
  -1.473439,
  -1.468893,
  -1.464343,
  -1.459789,
  -1.455232,
  -1.450670,
  -1.446105,
  -1.441535,
  -1.436962,
  -1.432385,
  -1.427804,
  -1.423219,
  -1.418630,
  -1.414038,
  -1.409442,
  -1.404841,
  -1.400237,
  -1.395629,
  -1.391018,
  -1.386402,
  -1.381783,
  -1.377159,
  -1.372532,
  -1.367901,
  -1.363266,
  -1.358628,
  -1.353985,
  -1.349339,
  -1.344689,
  -1.340035,
  -1.335377,
  -1.330715,
  -1.326050,
  -1.321381,
  -1.316708,
  -1.312031,
  -1.307350,
  -1.302666,
  -1.297977,
  -1.293285,
  -1.288590,
  -1.283890,
  -1.279187,
  -1.274480,
  -1.269769,
  -1.265054,
  -1.260336,
  -1.255614,
  -1.250888,
  -1.246158,
  -1.241425,
  -1.236687,
  -1.231947,
  -1.227202,
  -1.222454,
  -1.217702,
  -1.212946,
  -1.208186,
  -1.203423,
  -1.198656,
  -1.193886,
  -1.189112,
  -1.184334,
  -1.179552,
  -1.174767,
  -1.169978,
  -1.165185,
  -1.160389,
  -1.155589,
  -1.150785,
  -1.145978,
  -1.141168,
  -1.136353,
  -1.131535,
  -1.126713,
  -1.121888,
  -1.117059,
  -1.112227,
  -1.107391,
  -1.102551,
  -1.097708,
  -1.092861,
  -1.088011,
  -1.083157,
  -1.078300,
  -1.073439,
  -1.068574,
  -1.063706,
  -1.058835,
  -1.053960,
  -1.049082,
  -1.044200,
  -1.039314,
  -1.034425,
  -1.029533,
  -1.024637,
  -1.019738,
  -1.014835,
  -1.009929,
  -1.005020,
  -1.000107,
  -0.995190,
  -0.990271,
  -0.985348,
  -0.980421,
  -0.975491,
  -0.970558,
  -0.965621,
  -0.960682,
  -0.955738,
  -0.950792,
  -0.945842,
  -0.940889,
  -0.935932,
  -0.930973,
  -0.926010,
  -0.921044,
  -0.916074,
  -0.911102,
  -0.906126,
  -0.901147,
  -0.896164,
  -0.891179,
  -0.886190,
  -0.881198,
  -0.876203,
  -0.871205,
  -0.866204,
  -0.861199,
  -0.856192,
  -0.851181,
  -0.846168,
  -0.841151,
  -0.836131,
  -0.831108,
  -0.826082,
  -0.821053,
  -0.816022,
  -0.810987,
  -0.805949,
  -0.800908,
  -0.795864,
  -0.790817,
  -0.785767,
  -0.780715,
  -0.775659,
  -0.770601,
  -0.765539,
  -0.760475,
  -0.755408,
  -0.750338,
  -0.745265,
  -0.740190,
  -0.735112,
  -0.730030,
  -0.724946,
  -0.719860,
  -0.714770,
  -0.709678,
  -0.704583,
  -0.699486,
  -0.694386,
  -0.689283,
  -0.684177,
  -0.679069,
  -0.673958,
  -0.668845,
  -0.663729,
  -0.658611,
  -0.653489,
  -0.648366,
  -0.643240,
  -0.638111,
  -0.632980,
  -0.627846,
  -0.622710,
  -0.617571,
  -0.612430,
  -0.607287,
  -0.602141,
  -0.596993,
  -0.591842,
  -0.586689,
  -0.581534,
  -0.576377,
  -0.571217,
  -0.566055,
  -0.560890,
  -0.555724,
  -0.550555,
  -0.545384,
  -0.540210,
  -0.535035,
  -0.529857,
  -0.524678,
  -0.519496,
  -0.514312,
  -0.509126,
  -0.503938,
  -0.498748,
  -0.493556,
  -0.488361,
  -0.483165,
  -0.477967,
  -0.472767,
  -0.467565,
  -0.462361,
  -0.457155,
  -0.451948,
  -0.446738,
  -0.441527,
  -0.436313,
  -0.431098,
  -0.425882,
  -0.420663,
  -0.415443,
  -0.410221,
  -0.404997,
  -0.399772,
  -0.394545,
  -0.389316,
  -0.384086,
  -0.378854,
  -0.373620,
  -0.368385,
  -0.363148,
  -0.357910,
  -0.352671,
  -0.347430,
  -0.342187,
  -0.336943,
  -0.331698,
  -0.326451,
  -0.321203,
  -0.315953,
  -0.310702,
  -0.305450,
  -0.300197,
  -0.294942,
  -0.289686,
  -0.284429,
  -0.279170,
  -0.273911,
  -0.268650,
  -0.263388,
  -0.258125,
  -0.252861,
  -0.247596,
  -0.242330,
  -0.237062,
  -0.231794,
  -0.226525,
  -0.221254,
  -0.215983,
  -0.210711,
  -0.205438,
  -0.200164,
  -0.194890,
  -0.189614,
  -0.184338,
  -0.179060,
  -0.173782,
  -0.168504,
  -0.163224,
  -0.157944,
  -0.152663,
  -0.147382,
  -0.142100,
  -0.136817,
  -0.131534,
  -0.126250,
  -0.120966,
  -0.115681,
  -0.110395,
  -0.105109,
  -0.099823,
  -0.094536,
  -0.089249,
  -0.083961,
  -0.078674,
  -0.073385,
  -0.068097,
  -0.062808,
  -0.057519,
  -0.052229,
  -0.046940,
  -0.041650,
  -0.036360,
  -0.031070,
  -0.025779,
  -0.020489,
  -0.015198,
  -0.009908,
  -0.004617,
  0.000674,
  0.005964,
  0.011255,
  0.016545,
  0.021836,
  0.027126,
  0.032416,
  0.037707,
  0.042997,
  0.048286,
  0.053576,
  0.058865,
  0.064154,
  0.069443,
  0.074732,
  0.080020,
  0.085308,
  0.090595,
  0.095882,
  0.101169,
  0.106455,
  0.111741,
  0.117026,
  0.122311,
  0.127595,
  0.132879,
  0.138162,
  0.143445,
  0.148727,
  0.154008,
  0.159289,
  0.164569,
  0.169848,
  0.175126,
  0.180404,
  0.185681,
  0.190957,
  0.196233,
  0.201507,
  0.206781,
  0.212054,
  0.217326,
  0.222596,
  0.227866,
  0.233135,
  0.238404,
  0.243671,
  0.248937,
  0.254201,
  0.259465,
  0.264728,
  0.269990,
  0.275250,
  0.280509,
  0.285767,
  0.291024,
  0.296280,
  0.301534,
  0.306788,
  0.312039,
  0.317290,
  0.322539,
  0.327787,
  0.333033,
  0.338278,
  0.343522,
  0.348764,
  0.354005,
  0.359244,
  0.364482,
  0.369718,
  0.374953,
  0.380186,
  0.385417,
  0.390647,
  0.395876,
  0.401102,
  0.406327,
  0.411550,
  0.416772,
  0.421992,
  0.427210,
  0.432426,
  0.437641,
  0.442854,
  0.448065,
  0.453274,
  0.458481,
  0.463686,
  0.468890,
  0.474091,
  0.479291,
  0.484488,
  0.489684,
  0.494878,
  0.500069,
  0.505259,
  0.510447,
  0.515632,
  0.520815,
  0.525997,
  0.531176,
  0.536353,
  0.541528,
  0.546700,
  0.551871,
  0.557039,
  0.562205,
  0.567369,
  0.572531,
  0.577690,
  0.582847,
  0.588002,
  0.593154,
  0.598304,
  0.603451,
  0.608597,
  0.613739,
  0.618880,
  0.624018,
  0.629153,
  0.634286,
  0.639417,
  0.644545,
  0.649671,
  0.654794,
  0.659914,
  0.665032,
  0.670147,
  0.675260,
  0.680370,
  0.685478,
  0.690582,
  0.695685,
  0.700784,
  0.705881,
  0.710975,
  0.716067,
  0.721155,
  0.726241,
  0.731324,
  0.736405,
  0.741482,
  0.746557,
  0.751629,
  0.756698,
  0.761765,
  0.766828,
  0.771889,
  0.776947,
  0.782001,
  0.787053,
  0.792102,
  0.797148,
  0.802192,
  0.807232,
  0.812269,
  0.817303,
  0.822334,
  0.827362,
  0.832388,
  0.837410,
  0.842429,
  0.847445,
  0.852457,
  0.857467,
  0.862474,
  0.867478,
  0.872478,
  0.877475,
  0.882470,
  0.887461,
  0.892448,
  0.897433,
  0.902415,
  0.907393,
  0.912368,
  0.917340,
  0.922308,
  0.927274,
  0.932236,
  0.937195,
  0.942150,
  0.947103,
  0.952052,
  0.956997,
  0.961940,
  0.966879,
  0.971814,
  0.976747,
  0.981676,
  0.986601,
  0.991524,
  0.996442,
  1.001358,
  1.006270,
  1.011179,
  1.016084,
  1.020986,
  1.025884,
  1.030779,
  1.035670,
  1.040558,
  1.045443,
  1.050324,
  1.055202,
  1.060076,
  1.064946,
  1.069813,
  1.074677,
  1.079537,
  1.084393,
  1.089246,
  1.094096,
  1.098941,
  1.103784,
  1.108622,
  1.113458,
  1.118289,
  1.123117,
  1.127941,
  1.132762,
  1.137579,
  1.142393,
  1.147203,
  1.152009,
  1.156811,
  1.161610,
  1.166406,
  1.171197,
  1.175985,
  1.180770,
  1.185550,
  1.190328,
  1.195101,
  1.199870,
  1.204636,
  1.209399,
  1.214157,
  1.218912,
  1.223663,
  1.228410,
  1.233154,
  1.237894,
  1.242630,
  1.247363,
  1.252091,
  1.256816,
  1.261537,
  1.266255,
  1.270969,
  1.275679,
  1.280385,
  1.285087,
  1.289786,
  1.294480,
  1.299172,
  1.303859,
  1.308542,
  1.313222,
  1.317898,
  1.322570,
  1.327238,
  1.331903,
  1.336563,
  1.341220,
  1.345873,
  1.350522,
  1.355167,
  1.359809,
  1.364447,
  1.369081,
  1.373711,
  1.378337,
  1.382959,
  1.387578,
  1.392192,
  1.396803,
  1.401410,
  1.406013,
  1.410612,
  1.415208,
  1.419799,
  1.424387,
  1.428971,
  1.433551,
  1.438127,
  1.442699,
  1.447267,
  1.451832,
  1.456392,
  1.460949,
  1.465502,
  1.470051,
  1.474596,
  1.479137,
  1.483675,
  1.488208,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.488151,
  -1.483618,
  -1.479080,
  -1.474538,
  -1.469993,
  -1.465443,
  -1.460890,
  -1.456332,
  -1.451771,
  -1.447206,
  -1.442637,
  -1.438064,
  -1.433488,
  -1.428907,
  -1.424322,
  -1.419734,
  -1.415142,
  -1.410545,
  -1.405945,
  -1.401342,
  -1.396734,
  -1.392122,
  -1.387506,
  -1.382887,
  -1.378264,
  -1.373637,
  -1.369006,
  -1.364371,
  -1.359732,
  -1.355089,
  -1.350443,
  -1.345793,
  -1.341138,
  -1.336480,
  -1.331819,
  -1.327153,
  -1.322483,
  -1.317810,
  -1.313133,
  -1.308452,
  -1.303767,
  -1.299078,
  -1.294386,
  -1.289690,
  -1.284990,
  -1.280286,
  -1.275578,
  -1.270867,
  -1.266151,
  -1.261432,
  -1.256710,
  -1.251983,
  -1.247252,
  -1.242518,
  -1.237780,
  -1.233039,
  -1.228293,
  -1.223544,
  -1.218791,
  -1.214034,
  -1.209274,
  -1.204510,
  -1.199742,
  -1.194970,
  -1.190195,
  -1.185416,
  -1.180633,
  -1.175847,
  -1.171057,
  -1.166263,
  -1.161465,
  -1.156664,
  -1.151859,
  -1.147050,
  -1.142238,
  -1.137422,
  -1.132603,
  -1.127780,
  -1.122953,
  -1.118123,
  -1.113289,
  -1.108451,
  -1.103610,
  -1.098765,
  -1.093916,
  -1.089064,
  -1.084209,
  -1.079349,
  -1.074487,
  -1.069620,
  -1.064751,
  -1.059877,
  -1.055000,
  -1.050120,
  -1.045236,
  -1.040348,
  -1.035457,
  -1.030563,
  -1.025665,
  -1.020763,
  -1.015858,
  -1.010950,
  -1.006038,
  -1.001123,
  -0.996204,
  -0.991282,
  -0.986356,
  -0.981427,
  -0.976495,
  -0.971559,
  -0.966620,
  -0.961678,
  -0.956732,
  -0.951783,
  -0.946830,
  -0.941874,
  -0.936915,
  -0.931953,
  -0.926987,
  -0.922018,
  -0.917045,
  -0.912070,
  -0.907091,
  -0.902109,
  -0.897123,
  -0.892135,
  -0.887143,
  -0.882148,
  -0.877150,
  -0.872148,
  -0.867144,
  -0.862136,
  -0.857125,
  -0.852111,
  -0.847094,
  -0.842074,
  -0.837051,
  -0.832024,
  -0.826995,
  -0.821962,
  -0.816927,
  -0.811888,
  -0.806847,
  -0.801802,
  -0.796754,
  -0.791704,
  -0.786650,
  -0.781594,
  -0.776534,
  -0.771472,
  -0.766407,
  -0.761338,
  -0.756267,
  -0.751193,
  -0.746117,
  -0.741037,
  -0.735954,
  -0.730869,
  -0.725781,
  -0.720690,
  -0.715596,
  -0.710500,
  -0.705401,
  -0.700299,
  -0.695194,
  -0.690087,
  -0.684977,
  -0.679864,
  -0.674749,
  -0.669631,
  -0.664510,
  -0.659387,
  -0.654261,
  -0.649133,
  -0.644002,
  -0.638869,
  -0.633732,
  -0.628594,
  -0.623453,
  -0.618310,
  -0.613164,
  -0.608015,
  -0.602864,
  -0.597711,
  -0.592556,
  -0.587398,
  -0.582237,
  -0.577075,
  -0.571909,
  -0.566742,
  -0.561573,
  -0.556401,
  -0.551226,
  -0.546050,
  -0.540872,
  -0.535691,
  -0.530508,
  -0.525323,
  -0.520135,
  -0.514946,
  -0.509754,
  -0.504561,
  -0.499365,
  -0.494167,
  -0.488967,
  -0.483766,
  -0.478562,
  -0.473356,
  -0.468148,
  -0.462939,
  -0.457727,
  -0.452513,
  -0.447298,
  -0.442081,
  -0.436862,
  -0.431641,
  -0.426418,
  -0.421194,
  -0.415967,
  -0.410739,
  -0.405510,
  -0.400278,
  -0.395045,
  -0.389810,
  -0.384574,
  -0.379336,
  -0.374096,
  -0.368855,
  -0.363612,
  -0.358368,
  -0.353122,
  -0.347874,
  -0.342625,
  -0.337375,
  -0.332123,
  -0.326870,
  -0.321616,
  -0.316360,
  -0.311103,
  -0.305844,
  -0.300584,
  -0.295323,
  -0.290060,
  -0.284797,
  -0.279532,
  -0.274266,
  -0.268998,
  -0.263730,
  -0.258460,
  -0.253190,
  -0.247918,
  -0.242645,
  -0.237371,
  -0.232096,
  -0.226820,
  -0.221543,
  -0.216265,
  -0.210986,
  -0.205707,
  -0.200426,
  -0.195144,
  -0.189862,
  -0.184579,
  -0.179295,
  -0.174010,
  -0.168725,
  -0.163438,
  -0.158151,
  -0.152864,
  -0.147576,
  -0.142287,
  -0.136997,
  -0.131707,
  -0.126416,
  -0.121125,
  -0.115833,
  -0.110541,
  -0.105248,
  -0.099955,
  -0.094661,
  -0.089367,
  -0.084072,
  -0.078777,
  -0.073482,
  -0.068186,
  -0.062891,
  -0.057595,
  -0.052298,
  -0.047002,
  -0.041705,
  -0.036408,
  -0.031111,
  -0.025813,
  -0.020516,
  -0.015218,
  -0.009921,
  -0.004623,
  0.000674,
  0.005972,
  0.011270,
  0.016567,
  0.021865,
  0.027162,
  0.032459,
  0.037756,
  0.043053,
  0.048350,
  0.053647,
  0.058943,
  0.064239,
  0.069535,
  0.074830,
  0.080125,
  0.085420,
  0.090715,
  0.096009,
  0.101302,
  0.106595,
  0.111888,
  0.117180,
  0.122472,
  0.127763,
  0.133054,
  0.138344,
  0.143633,
  0.148922,
  0.154210,
  0.159498,
  0.164784,
  0.170070,
  0.175356,
  0.180640,
  0.185924,
  0.191207,
  0.196489,
  0.201771,
  0.207051,
  0.212330,
  0.217609,
  0.222887,
  0.228163,
  0.233439,
  0.238714,
  0.243987,
  0.249260,
  0.254532,
  0.259802,
  0.265071,
  0.270340,
  0.275607,
  0.280872,
  0.286137,
  0.291400,
  0.296663,
  0.301923,
  0.307183,
  0.312441,
  0.317698,
  0.322954,
  0.328208,
  0.333461,
  0.338712,
  0.343962,
  0.349211,
  0.354457,
  0.359703,
  0.364947,
  0.370189,
  0.375430,
  0.380669,
  0.385907,
  0.391143,
  0.396378,
  0.401610,
  0.406841,
  0.412071,
  0.417298,
  0.422524,
  0.427748,
  0.432970,
  0.438191,
  0.443409,
  0.448626,
  0.453841,
  0.459054,
  0.464265,
  0.469474,
  0.474682,
  0.479887,
  0.485090,
  0.490292,
  0.495491,
  0.500688,
  0.505883,
  0.511076,
  0.516267,
  0.521456,
  0.526643,
  0.531828,
  0.537010,
  0.542190,
  0.547368,
  0.552544,
  0.557718,
  0.562889,
  0.568058,
  0.573225,
  0.578389,
  0.583551,
  0.588711,
  0.593868,
  0.599023,
  0.604176,
  0.609326,
  0.614474,
  0.619619,
  0.624762,
  0.629903,
  0.635040,
  0.640176,
  0.645309,
  0.650439,
  0.655567,
  0.660692,
  0.665814,
  0.670934,
  0.676051,
  0.681166,
  0.686278,
  0.691387,
  0.696494,
  0.701598,
  0.706699,
  0.711798,
  0.716893,
  0.721986,
  0.727077,
  0.732164,
  0.737249,
  0.742330,
  0.747409,
  0.752486,
  0.757559,
  0.762629,
  0.767697,
  0.772761,
  0.777823,
  0.782881,
  0.787937,
  0.792990,
  0.798040,
  0.803087,
  0.808131,
  0.813171,
  0.818209,
  0.823244,
  0.828276,
  0.833304,
  0.838330,
  0.843352,
  0.848372,
  0.853388,
  0.858401,
  0.863411,
  0.868418,
  0.873422,
  0.878423,
  0.883420,
  0.888414,
  0.893405,
  0.898393,
  0.903377,
  0.908359,
  0.913337,
  0.918312,
  0.923283,
  0.928251,
  0.933216,
  0.938178,
  0.943136,
  0.948091,
  0.953043,
  0.957991,
  0.962936,
  0.967878,
  0.972816,
  0.977751,
  0.982683,
  0.987611,
  0.992536,
  0.997457,
  1.002375,
  1.007289,
  1.012200,
  1.017107,
  1.022012,
  1.026912,
  1.031809,
  1.036703,
  1.041593,
  1.046480,
  1.051363,
  1.056242,
  1.061118,
  1.065991,
  1.070860,
  1.075725,
  1.080587,
  1.085445,
  1.090300,
  1.095151,
  1.099999,
  1.104843,
  1.109683,
  1.114520,
  1.119353,
  1.124182,
  1.129008,
  1.133830,
  1.138649,
  1.143464,
  1.148275,
  1.153083,
  1.157887,
  1.162687,
  1.167484,
  1.172276,
  1.177066,
  1.181851,
  1.186633,
  1.191411,
  1.196186,
  1.200956,
  1.205723,
  1.210486,
  1.215246,
  1.220002,
  1.224754,
  1.229502,
  1.234246,
  1.238987,
  1.243724,
  1.248457,
  1.253187,
  1.257912,
  1.262634,
  1.267352,
  1.272067,
  1.276777,
  1.281484,
  1.286187,
  1.290886,
  1.295581,
  1.300273,
  1.304960,
  1.309644,
  1.314324,
  1.319000,
  1.323673,
  1.328341,
  1.333006,
  1.337667,
  1.342324,
  1.346977,
  1.351626,
  1.356272,
  1.360913,
  1.365551,
  1.370185,
  1.374815,
  1.379441,
  1.384064,
  1.388682,
  1.393297,
  1.397907,
  1.402514,
  1.407117,
  1.411716,
  1.416311,
  1.420903,
  1.425490,
  1.430074,
  1.434653,
  1.439229,
  1.443801,
  1.448369,
  1.452933,
  1.457493,
  1.462049,
  1.466602,
  1.471150,
  1.475695,
  1.480236,
  1.484772,
  1.489305,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.489308,
  -1.484774,
  -1.480237,
  -1.475696,
  -1.471151,
  -1.466602,
  -1.462049,
  -1.457492,
  -1.452932,
  -1.448367,
  -1.443798,
  -1.439226,
  -1.434650,
  -1.430069,
  -1.425485,
  -1.420897,
  -1.416305,
  -1.411709,
  -1.407109,
  -1.402505,
  -1.397898,
  -1.393286,
  -1.388671,
  -1.384051,
  -1.379428,
  -1.374801,
  -1.370170,
  -1.365535,
  -1.360896,
  -1.356253,
  -1.351607,
  -1.346956,
  -1.342302,
  -1.337644,
  -1.332982,
  -1.328316,
  -1.323646,
  -1.318972,
  -1.314295,
  -1.309613,
  -1.304928,
  -1.300239,
  -1.295546,
  -1.290849,
  -1.286149,
  -1.281444,
  -1.276736,
  -1.272024,
  -1.267308,
  -1.262588,
  -1.257865,
  -1.253138,
  -1.248406,
  -1.243671,
  -1.238933,
  -1.234190,
  -1.229444,
  -1.224694,
  -1.219940,
  -1.215182,
  -1.210421,
  -1.205655,
  -1.200886,
  -1.196114,
  -1.191337,
  -1.186557,
  -1.181773,
  -1.176985,
  -1.172194,
  -1.167399,
  -1.162600,
  -1.157797,
  -1.152991,
  -1.148181,
  -1.143367,
  -1.138550,
  -1.133729,
  -1.128904,
  -1.124076,
  -1.119244,
  -1.114408,
  -1.109569,
  -1.104726,
  -1.099879,
  -1.095029,
  -1.090175,
  -1.085318,
  -1.080456,
  -1.075592,
  -1.070724,
  -1.065852,
  -1.060976,
  -1.056097,
  -1.051215,
  -1.046328,
  -1.041439,
  -1.036546,
  -1.031649,
  -1.026749,
  -1.021845,
  -1.016937,
  -1.012027,
  -1.007112,
  -1.002195,
  -0.997273,
  -0.992349,
  -0.987421,
  -0.982489,
  -0.977554,
  -0.972616,
  -0.967674,
  -0.962729,
  -0.957780,
  -0.952828,
  -0.947873,
  -0.942914,
  -0.937952,
  -0.932986,
  -0.928017,
  -0.923045,
  -0.918070,
  -0.913091,
  -0.908109,
  -0.903124,
  -0.898135,
  -0.893143,
  -0.888148,
  -0.883150,
  -0.878148,
  -0.873143,
  -0.868135,
  -0.863124,
  -0.858110,
  -0.853092,
  -0.848072,
  -0.843048,
  -0.838021,
  -0.832991,
  -0.827958,
  -0.822921,
  -0.817882,
  -0.812840,
  -0.807794,
  -0.802746,
  -0.797694,
  -0.792640,
  -0.787582,
  -0.782521,
  -0.777458,
  -0.772391,
  -0.767322,
  -0.762249,
  -0.757174,
  -0.752096,
  -0.747015,
  -0.741931,
  -0.736844,
  -0.731754,
  -0.726662,
  -0.721566,
  -0.716468,
  -0.711367,
  -0.706263,
  -0.701157,
  -0.696047,
  -0.690935,
  -0.685821,
  -0.680703,
  -0.675583,
  -0.670460,
  -0.665335,
  -0.660207,
  -0.655076,
  -0.649943,
  -0.644807,
  -0.639668,
  -0.634527,
  -0.629384,
  -0.624237,
  -0.619089,
  -0.613938,
  -0.608784,
  -0.603628,
  -0.598469,
  -0.593309,
  -0.588145,
  -0.582979,
  -0.577811,
  -0.572641,
  -0.567468,
  -0.562293,
  -0.557115,
  -0.551936,
  -0.546754,
  -0.541569,
  -0.536383,
  -0.531194,
  -0.526003,
  -0.520810,
  -0.515615,
  -0.510418,
  -0.505218,
  -0.500017,
  -0.494813,
  -0.489607,
  -0.484400,
  -0.479190,
  -0.473978,
  -0.468764,
  -0.463548,
  -0.458331,
  -0.453111,
  -0.447889,
  -0.442666,
  -0.437441,
  -0.432214,
  -0.426985,
  -0.421754,
  -0.416521,
  -0.411287,
  -0.406051,
  -0.400813,
  -0.395573,
  -0.390332,
  -0.385089,
  -0.379845,
  -0.374598,
  -0.369351,
  -0.364101,
  -0.358850,
  -0.353598,
  -0.348344,
  -0.343088,
  -0.337831,
  -0.332573,
  -0.327313,
  -0.322052,
  -0.316789,
  -0.311525,
  -0.306260,
  -0.300993,
  -0.295725,
  -0.290456,
  -0.285185,
  -0.279913,
  -0.274640,
  -0.269366,
  -0.264091,
  -0.258814,
  -0.253536,
  -0.248258,
  -0.242978,
  -0.237697,
  -0.232415,
  -0.227132,
  -0.221848,
  -0.216563,
  -0.211277,
  -0.205990,
  -0.200702,
  -0.195414,
  -0.190124,
  -0.184834,
  -0.179543,
  -0.174251,
  -0.168958,
  -0.163665,
  -0.158370,
  -0.153076,
  -0.147780,
  -0.142484,
  -0.137187,
  -0.131889,
  -0.126591,
  -0.121293,
  -0.115994,
  -0.110694,
  -0.105394,
  -0.100093,
  -0.094792,
  -0.089491,
  -0.084189,
  -0.078887,
  -0.073584,
  -0.068281,
  -0.062978,
  -0.057675,
  -0.052371,
  -0.047067,
  -0.041763,
  -0.036458,
  -0.031154,
  -0.025849,
  -0.020544,
  -0.015240,
  -0.009935,
  -0.004630,
  0.000675,
  0.005980,
  0.011285,
  0.016590,
  0.021895,
  0.027200,
  0.032505,
  0.037809,
  0.043113,
  0.048417,
  0.053721,
  0.059025,
  0.064328,
  0.069632,
  0.074934,
  0.080237,
  0.085539,
  0.090841,
  0.096142,
  0.101443,
  0.106744,
  0.112044,
  0.117343,
  0.122642,
  0.127940,
  0.133238,
  0.138536,
  0.143832,
  0.149128,
  0.154424,
  0.159718,
  0.165012,
  0.170306,
  0.175598,
  0.180890,
  0.186181,
  0.191471,
  0.196760,
  0.202049,
  0.207336,
  0.212623,
  0.217909,
  0.223193,
  0.228477,
  0.233760,
  0.239041,
  0.244322,
  0.249602,
  0.254880,
  0.260158,
  0.265434,
  0.270709,
  0.275983,
  0.281256,
  0.286527,
  0.291797,
  0.297066,
  0.302334,
  0.307601,
  0.312866,
  0.318129,
  0.323392,
  0.328653,
  0.333912,
  0.339170,
  0.344427,
  0.349682,
  0.354935,
  0.360187,
  0.365438,
  0.370687,
  0.375934,
  0.381180,
  0.386424,
  0.391667,
  0.396908,
  0.402147,
  0.407384,
  0.412620,
  0.417854,
  0.423086,
  0.428316,
  0.433545,
  0.438771,
  0.443996,
  0.449219,
  0.454440,
  0.459659,
  0.464877,
  0.470092,
  0.475305,
  0.480516,
  0.485726,
  0.490933,
  0.496138,
  0.501341,
  0.506542,
  0.511741,
  0.516938,
  0.522133,
  0.527325,
  0.532516,
  0.537704,
  0.542890,
  0.548073,
  0.553255,
  0.558434,
  0.563611,
  0.568785,
  0.573958,
  0.579127,
  0.584295,
  0.589460,
  0.594623,
  0.599783,
  0.604941,
  0.610096,
  0.615249,
  0.620400,
  0.625548,
  0.630693,
  0.635836,
  0.640977,
  0.646115,
  0.651250,
  0.656383,
  0.661513,
  0.666640,
  0.671765,
  0.676887,
  0.682006,
  0.687123,
  0.692237,
  0.697349,
  0.702457,
  0.707563,
  0.712666,
  0.717766,
  0.722864,
  0.727959,
  0.733050,
  0.738139,
  0.743226,
  0.748309,
  0.753389,
  0.758467,
  0.763541,
  0.768613,
  0.773682,
  0.778747,
  0.783810,
  0.788870,
  0.793927,
  0.798981,
  0.804031,
  0.809079,
  0.814124,
  0.819165,
  0.824204,
  0.829240,
  0.834272,
  0.839301,
  0.844327,
  0.849350,
  0.854370,
  0.859387,
  0.864401,
  0.869411,
  0.874418,
  0.879422,
  0.884423,
  0.889420,
  0.894414,
  0.899406,
  0.904393,
  0.909378,
  0.914359,
  0.919337,
  0.924311,
  0.929283,
  0.934251,
  0.939215,
  0.944177,
  0.949135,
  0.954089,
  0.959040,
  0.963988,
  0.968932,
  0.973873,
  0.978811,
  0.983745,
  0.988676,
  0.993603,
  0.998527,
  1.003447,
  1.008364,
  1.013277,
  1.018187,
  1.023094,
  1.027997,
  1.032896,
  1.037792,
  1.042684,
  1.047573,
  1.052458,
  1.057340,
  1.062218,
  1.067092,
  1.071963,
  1.076831,
  1.081694,
  1.086555,
  1.091411,
  1.096264,
  1.101114,
  1.105959,
  1.110801,
  1.115640,
  1.120475,
  1.125306,
  1.130133,
  1.134957,
  1.139777,
  1.144593,
  1.149406,
  1.154215,
  1.159021,
  1.163822,
  1.168620,
  1.173414,
  1.178205,
  1.182992,
  1.187775,
  1.192554,
  1.197329,
  1.202101,
  1.206869,
  1.211633,
  1.216394,
  1.221151,
  1.225904,
  1.230653,
  1.235398,
  1.240140,
  1.244877,
  1.249611,
  1.254342,
  1.259068,
  1.263790,
  1.268509,
  1.273224,
  1.277935,
  1.282643,
  1.287346,
  1.292046,
  1.296741,
  1.301433,
  1.306121,
  1.310806,
  1.315486,
  1.320163,
  1.324835,
  1.329504,
  1.334169,
  1.338830,
  1.343487,
  1.348141,
  1.352790,
  1.357436,
  1.362077,
  1.366715,
  1.371349,
  1.375979,
  1.380605,
  1.385228,
  1.389846,
  1.394461,
  1.399071,
  1.403678,
  1.408280,
  1.412879,
  1.417474,
  1.422065,
  1.426653,
  1.431236,
  1.435815,
  1.440390,
  1.444962,
  1.449530,
  1.454093,
  1.458653,
  1.463209,
  1.467761,
  1.472309,
  1.476853,
  1.481393,
  1.485929,
  1.490461,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.490523,
  -1.485990,
  -1.481454,
  -1.476913,
  -1.472369,
  -1.467820,
  -1.463268,
  -1.458712,
  -1.454152,
  -1.449587,
  -1.445019,
  -1.440447,
  -1.435871,
  -1.431291,
  -1.426707,
  -1.422119,
  -1.417528,
  -1.412932,
  -1.408332,
  -1.403729,
  -1.399121,
  -1.394510,
  -1.389894,
  -1.385275,
  -1.380652,
  -1.376025,
  -1.371394,
  -1.366759,
  -1.362120,
  -1.357477,
  -1.352830,
  -1.348180,
  -1.343525,
  -1.338867,
  -1.334205,
  -1.329538,
  -1.324868,
  -1.320194,
  -1.315516,
  -1.310835,
  -1.306149,
  -1.301459,
  -1.296766,
  -1.292069,
  -1.287368,
  -1.282663,
  -1.277954,
  -1.273241,
  -1.268525,
  -1.263804,
  -1.259080,
  -1.254352,
  -1.249620,
  -1.244884,
  -1.240144,
  -1.235401,
  -1.230654,
  -1.225903,
  -1.221148,
  -1.216389,
  -1.211627,
  -1.206860,
  -1.202090,
  -1.197316,
  -1.192539,
  -1.187757,
  -1.182972,
  -1.178183,
  -1.173390,
  -1.168594,
  -1.163794,
  -1.158990,
  -1.154182,
  -1.149370,
  -1.144555,
  -1.139736,
  -1.134914,
  -1.130087,
  -1.125257,
  -1.120424,
  -1.115586,
  -1.110745,
  -1.105900,
  -1.101052,
  -1.096200,
  -1.091344,
  -1.086484,
  -1.081621,
  -1.076754,
  -1.071884,
  -1.067010,
  -1.062133,
  -1.057251,
  -1.052367,
  -1.047478,
  -1.042586,
  -1.037691,
  -1.032792,
  -1.027889,
  -1.022983,
  -1.018073,
  -1.013160,
  -1.008243,
  -1.003323,
  -0.998399,
  -0.993471,
  -0.988541,
  -0.983606,
  -0.978669,
  -0.973727,
  -0.968783,
  -0.963834,
  -0.958883,
  -0.953928,
  -0.948969,
  -0.944008,
  -0.939042,
  -0.934074,
  -0.929102,
  -0.924127,
  -0.919148,
  -0.914166,
  -0.909181,
  -0.904192,
  -0.899200,
  -0.894205,
  -0.889206,
  -0.884204,
  -0.879199,
  -0.874191,
  -0.869179,
  -0.864164,
  -0.859146,
  -0.854125,
  -0.849101,
  -0.844073,
  -0.839042,
  -0.834008,
  -0.828971,
  -0.823931,
  -0.818888,
  -0.813841,
  -0.808792,
  -0.803739,
  -0.798683,
  -0.793625,
  -0.788563,
  -0.783498,
  -0.778430,
  -0.773359,
  -0.768286,
  -0.763209,
  -0.758129,
  -0.753046,
  -0.747961,
  -0.742872,
  -0.737781,
  -0.732686,
  -0.727589,
  -0.722489,
  -0.717386,
  -0.712280,
  -0.707171,
  -0.702060,
  -0.696946,
  -0.691829,
  -0.686709,
  -0.681587,
  -0.676462,
  -0.671334,
  -0.666203,
  -0.661070,
  -0.655934,
  -0.650795,
  -0.645654,
  -0.640510,
  -0.635364,
  -0.630215,
  -0.625064,
  -0.619910,
  -0.614753,
  -0.609594,
  -0.604432,
  -0.599268,
  -0.594102,
  -0.588933,
  -0.583761,
  -0.578587,
  -0.573411,
  -0.568233,
  -0.563052,
  -0.557868,
  -0.552683,
  -0.547495,
  -0.542305,
  -0.537112,
  -0.531917,
  -0.526721,
  -0.521521,
  -0.516320,
  -0.511117,
  -0.505911,
  -0.500703,
  -0.495493,
  -0.490281,
  -0.485067,
  -0.479851,
  -0.474633,
  -0.469413,
  -0.464191,
  -0.458967,
  -0.453740,
  -0.448512,
  -0.443282,
  -0.438051,
  -0.432817,
  -0.427581,
  -0.422344,
  -0.417105,
  -0.411864,
  -0.406621,
  -0.401376,
  -0.396130,
  -0.390882,
  -0.385632,
  -0.380381,
  -0.375128,
  -0.369873,
  -0.364617,
  -0.359359,
  -0.354100,
  -0.348839,
  -0.343576,
  -0.338312,
  -0.333047,
  -0.327780,
  -0.322511,
  -0.317242,
  -0.311970,
  -0.306698,
  -0.301424,
  -0.296149,
  -0.290872,
  -0.285594,
  -0.280315,
  -0.275035,
  -0.269754,
  -0.264471,
  -0.259187,
  -0.253902,
  -0.248616,
  -0.243328,
  -0.238040,
  -0.232751,
  -0.227460,
  -0.222169,
  -0.216876,
  -0.211583,
  -0.206289,
  -0.200993,
  -0.195697,
  -0.190400,
  -0.185102,
  -0.179804,
  -0.174504,
  -0.169204,
  -0.163903,
  -0.158601,
  -0.153299,
  -0.147995,
  -0.142692,
  -0.137387,
  -0.132082,
  -0.126776,
  -0.121470,
  -0.116163,
  -0.110856,
  -0.105548,
  -0.100240,
  -0.094931,
  -0.089622,
  -0.084312,
  -0.079002,
  -0.073692,
  -0.068381,
  -0.063070,
  -0.057759,
  -0.052448,
  -0.047136,
  -0.041824,
  -0.036512,
  -0.031200,
  -0.025887,
  -0.020575,
  -0.015262,
  -0.009949,
  -0.004636,
  0.000676,
  0.005989,
  0.011302,
  0.016615,
  0.021927,
  0.027240,
  0.032552,
  0.037864,
  0.043177,
  0.048488,
  0.053800,
  0.059112,
  0.064423,
  0.069734,
  0.075044,
  0.080354,
  0.085664,
  0.090974,
  0.096283,
  0.101591,
  0.106900,
  0.112207,
  0.117514,
  0.122821,
  0.128127,
  0.133433,
  0.138738,
  0.144042,
  0.149346,
  0.154649,
  0.159951,
  0.165253,
  0.170554,
  0.175854,
  0.181153,
  0.186451,
  0.191749,
  0.197046,
  0.202342,
  0.207637,
  0.212931,
  0.218224,
  0.223516,
  0.228807,
  0.234098,
  0.239387,
  0.244675,
  0.249962,
  0.255248,
  0.260532,
  0.265816,
  0.271098,
  0.276380,
  0.281660,
  0.286938,
  0.292216,
  0.297492,
  0.302767,
  0.308040,
  0.313313,
  0.318583,
  0.323853,
  0.329121,
  0.334387,
  0.339653,
  0.344916,
  0.350178,
  0.355439,
  0.360698,
  0.365955,
  0.371211,
  0.376465,
  0.381718,
  0.386969,
  0.392218,
  0.397466,
  0.402712,
  0.407956,
  0.413198,
  0.418439,
  0.423678,
  0.428915,
  0.434150,
  0.439383,
  0.444614,
  0.449844,
  0.455071,
  0.460297,
  0.465521,
  0.470742,
  0.475962,
  0.481180,
  0.486395,
  0.491609,
  0.496820,
  0.502029,
  0.507237,
  0.512442,
  0.517645,
  0.522845,
  0.528044,
  0.533240,
  0.538434,
  0.543626,
  0.548816,
  0.554003,
  0.559188,
  0.564371,
  0.569551,
  0.574729,
  0.579905,
  0.585078,
  0.590249,
  0.595417,
  0.600583,
  0.605747,
  0.610908,
  0.616066,
  0.621222,
  0.626375,
  0.631526,
  0.636675,
  0.641820,
  0.646964,
  0.652104,
  0.657242,
  0.662377,
  0.667510,
  0.672640,
  0.677767,
  0.682891,
  0.688013,
  0.693132,
  0.698248,
  0.703362,
  0.708472,
  0.713580,
  0.718685,
  0.723788,
  0.728887,
  0.733984,
  0.739077,
  0.744168,
  0.749256,
  0.754341,
  0.759423,
  0.764502,
  0.769578,
  0.774651,
  0.779721,
  0.784788,
  0.789852,
  0.794913,
  0.799971,
  0.805026,
  0.810078,
  0.815126,
  0.820172,
  0.825215,
  0.830254,
  0.835290,
  0.840324,
  0.845354,
  0.850380,
  0.855404,
  0.860424,
  0.865442,
  0.870456,
  0.875466,
  0.880474,
  0.885478,
  0.890479,
  0.895477,
  0.900471,
  0.905462,
  0.910450,
  0.915435,
  0.920416,
  0.925394,
  0.930368,
  0.935339,
  0.940307,
  0.945271,
  0.950232,
  0.955190,
  0.960144,
  0.965095,
  0.970042,
  0.974986,
  0.979926,
  0.984863,
  0.989796,
  0.994726,
  0.999653,
  1.004576,
  1.009495,
  1.014411,
  1.019323,
  1.024232,
  1.029138,
  1.034039,
  1.038938,
  1.043832,
  1.048723,
  1.053611,
  1.058495,
  1.063375,
  1.068251,
  1.073125,
  1.077994,
  1.082860,
  1.087722,
  1.092580,
  1.097435,
  1.102287,
  1.107134,
  1.111978,
  1.116818,
  1.121655,
  1.126487,
  1.131317,
  1.136142,
  1.140964,
  1.145782,
  1.150596,
  1.155406,
  1.160213,
  1.165016,
  1.169816,
  1.174611,
  1.179403,
  1.184191,
  1.188975,
  1.193756,
  1.198532,
  1.203305,
  1.208074,
  1.212840,
  1.217601,
  1.222359,
  1.227113,
  1.231863,
  1.236609,
  1.241352,
  1.246090,
  1.250825,
  1.255556,
  1.260283,
  1.265006,
  1.269726,
  1.274441,
  1.279153,
  1.283861,
  1.288565,
  1.293265,
  1.297961,
  1.302654,
  1.307342,
  1.312027,
  1.316708,
  1.321385,
  1.326058,
  1.330727,
  1.335392,
  1.340053,
  1.344711,
  1.349364,
  1.354014,
  1.358660,
  1.363301,
  1.367939,
  1.372573,
  1.377203,
  1.381829,
  1.386451,
  1.391070,
  1.395684,
  1.400295,
  1.404901,
  1.409504,
  1.414102,
  1.418697,
  1.423288,
  1.427875,
  1.432458,
  1.437037,
  1.441612,
  1.446183,
  1.450750,
  1.455313,
  1.459872,
  1.464427,
  1.468979,
  1.473526,
  1.478070,
  1.482609,
  1.487145,
  1.491676,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.491798,
  -1.487266,
  -1.482730,
  -1.478190,
  -1.473646,
  -1.469098,
  -1.464546,
  -1.459991,
  -1.455431,
  -1.450867,
  -1.446299,
  -1.441728,
  -1.437152,
  -1.432573,
  -1.427989,
  -1.423401,
  -1.418810,
  -1.414215,
  -1.409615,
  -1.405012,
  -1.400404,
  -1.395793,
  -1.391178,
  -1.386559,
  -1.381936,
  -1.377308,
  -1.372678,
  -1.368043,
  -1.363404,
  -1.358761,
  -1.354114,
  -1.349463,
  -1.344809,
  -1.340150,
  -1.335487,
  -1.330821,
  -1.326151,
  -1.321476,
  -1.316798,
  -1.312116,
  -1.307430,
  -1.302740,
  -1.298046,
  -1.293348,
  -1.288647,
  -1.283941,
  -1.279232,
  -1.274518,
  -1.269801,
  -1.265080,
  -1.260355,
  -1.255626,
  -1.250893,
  -1.246157,
  -1.241416,
  -1.236672,
  -1.231924,
  -1.227171,
  -1.222416,
  -1.217656,
  -1.212892,
  -1.208125,
  -1.203354,
  -1.198579,
  -1.193800,
  -1.189017,
  -1.184230,
  -1.179440,
  -1.174646,
  -1.169848,
  -1.165046,
  -1.160241,
  -1.155432,
  -1.150619,
  -1.145802,
  -1.140981,
  -1.136157,
  -1.131329,
  -1.126497,
  -1.121662,
  -1.116822,
  -1.111979,
  -1.107133,
  -1.102282,
  -1.097428,
  -1.092571,
  -1.087709,
  -1.082844,
  -1.077975,
  -1.073103,
  -1.068226,
  -1.063347,
  -1.058463,
  -1.053576,
  -1.048685,
  -1.043791,
  -1.038893,
  -1.033991,
  -1.029086,
  -1.024178,
  -1.019265,
  -1.014349,
  -1.009430,
  -1.004507,
  -0.999580,
  -0.994650,
  -0.989716,
  -0.984779,
  -0.979839,
  -0.974894,
  -0.969947,
  -0.964996,
  -0.960041,
  -0.955083,
  -0.950121,
  -0.945156,
  -0.940188,
  -0.935216,
  -0.930241,
  -0.925262,
  -0.920280,
  -0.915295,
  -0.910306,
  -0.905314,
  -0.900318,
  -0.895320,
  -0.890317,
  -0.885312,
  -0.880303,
  -0.875291,
  -0.870276,
  -0.865257,
  -0.860235,
  -0.855210,
  -0.850182,
  -0.845150,
  -0.840115,
  -0.835077,
  -0.830036,
  -0.824992,
  -0.819944,
  -0.814893,
  -0.809840,
  -0.804783,
  -0.799723,
  -0.794659,
  -0.789593,
  -0.784524,
  -0.779452,
  -0.774376,
  -0.769298,
  -0.764216,
  -0.759132,
  -0.754044,
  -0.748954,
  -0.743861,
  -0.738764,
  -0.733665,
  -0.728563,
  -0.723458,
  -0.718350,
  -0.713239,
  -0.708126,
  -0.703009,
  -0.697890,
  -0.692768,
  -0.687643,
  -0.682515,
  -0.677385,
  -0.672251,
  -0.667116,
  -0.661977,
  -0.656836,
  -0.651692,
  -0.646545,
  -0.641396,
  -0.636244,
  -0.631089,
  -0.625932,
  -0.620772,
  -0.615610,
  -0.610445,
  -0.605277,
  -0.600107,
  -0.594935,
  -0.589760,
  -0.584583,
  -0.579403,
  -0.574221,
  -0.569036,
  -0.563849,
  -0.558659,
  -0.553468,
  -0.548274,
  -0.543077,
  -0.537879,
  -0.532678,
  -0.527474,
  -0.522269,
  -0.517061,
  -0.511851,
  -0.506639,
  -0.501425,
  -0.496208,
  -0.490990,
  -0.485769,
  -0.480546,
  -0.475322,
  -0.470095,
  -0.464866,
  -0.459635,
  -0.454402,
  -0.449167,
  -0.443930,
  -0.438692,
  -0.433451,
  -0.428209,
  -0.422964,
  -0.417718,
  -0.412470,
  -0.407220,
  -0.401968,
  -0.396715,
  -0.391460,
  -0.386203,
  -0.380944,
  -0.375684,
  -0.370422,
  -0.365159,
  -0.359894,
  -0.354627,
  -0.349359,
  -0.344089,
  -0.338817,
  -0.333545,
  -0.328270,
  -0.322994,
  -0.317717,
  -0.312439,
  -0.307158,
  -0.301877,
  -0.296594,
  -0.291310,
  -0.286025,
  -0.280738,
  -0.275450,
  -0.270161,
  -0.264871,
  -0.259579,
  -0.254286,
  -0.248992,
  -0.243697,
  -0.238401,
  -0.233104,
  -0.227806,
  -0.222506,
  -0.217206,
  -0.211905,
  -0.206603,
  -0.201300,
  -0.195996,
  -0.190691,
  -0.185385,
  -0.180078,
  -0.174771,
  -0.169462,
  -0.164153,
  -0.158844,
  -0.153533,
  -0.148222,
  -0.142910,
  -0.137598,
  -0.132284,
  -0.126971,
  -0.121656,
  -0.116341,
  -0.111026,
  -0.105710,
  -0.100394,
  -0.095077,
  -0.089760,
  -0.084442,
  -0.079124,
  -0.073805,
  -0.068486,
  -0.063167,
  -0.057848,
  -0.052528,
  -0.047208,
  -0.041888,
  -0.036568,
  -0.031248,
  -0.025927,
  -0.020606,
  -0.015285,
  -0.009965,
  -0.004644,
  0.000677,
  0.005998,
  0.011319,
  0.016640,
  0.021961,
  0.027282,
  0.032602,
  0.037923,
  0.043243,
  0.048563,
  0.053883,
  0.059202,
  0.064522,
  0.069841,
  0.075159,
  0.080478,
  0.085796,
  0.091113,
  0.096431,
  0.101747,
  0.107064,
  0.112379,
  0.117695,
  0.123009,
  0.128324,
  0.133637,
  0.138950,
  0.144263,
  0.149574,
  0.154885,
  0.160196,
  0.165505,
  0.170814,
  0.176122,
  0.181429,
  0.186736,
  0.192041,
  0.197346,
  0.202650,
  0.207953,
  0.213255,
  0.218556,
  0.223856,
  0.229155,
  0.234453,
  0.239750,
  0.245046,
  0.250340,
  0.255634,
  0.260926,
  0.266218,
  0.271508,
  0.276797,
  0.282084,
  0.287371,
  0.292656,
  0.297939,
  0.303222,
  0.308503,
  0.313783,
  0.319061,
  0.324338,
  0.329613,
  0.334887,
  0.340160,
  0.345431,
  0.350700,
  0.355968,
  0.361234,
  0.366499,
  0.371762,
  0.377024,
  0.382284,
  0.387542,
  0.392798,
  0.398053,
  0.403306,
  0.408557,
  0.413806,
  0.419054,
  0.424300,
  0.429544,
  0.434786,
  0.440026,
  0.445264,
  0.450500,
  0.455735,
  0.460967,
  0.466197,
  0.471426,
  0.476652,
  0.481876,
  0.487099,
  0.492319,
  0.497537,
  0.502753,
  0.507966,
  0.513178,
  0.518387,
  0.523594,
  0.528799,
  0.534002,
  0.539202,
  0.544401,
  0.549596,
  0.554790,
  0.559981,
  0.565170,
  0.570356,
  0.575540,
  0.580722,
  0.585901,
  0.591078,
  0.596252,
  0.601424,
  0.606593,
  0.611760,
  0.616924,
  0.622086,
  0.627245,
  0.632402,
  0.637556,
  0.642707,
  0.647856,
  0.653001,
  0.658145,
  0.663286,
  0.668423,
  0.673559,
  0.678691,
  0.683821,
  0.688948,
  0.694072,
  0.699194,
  0.704312,
  0.709428,
  0.714541,
  0.719651,
  0.724758,
  0.729862,
  0.734964,
  0.740062,
  0.745158,
  0.750250,
  0.755340,
  0.760427,
  0.765510,
  0.770591,
  0.775669,
  0.780743,
  0.785815,
  0.790883,
  0.795949,
  0.801011,
  0.806071,
  0.811127,
  0.816180,
  0.821230,
  0.826276,
  0.831320,
  0.836360,
  0.841397,
  0.846431,
  0.851462,
  0.856490,
  0.861514,
  0.866535,
  0.871553,
  0.876567,
  0.881579,
  0.886587,
  0.891591,
  0.896593,
  0.901591,
  0.906585,
  0.911577,
  0.916565,
  0.921549,
  0.926530,
  0.931508,
  0.936482,
  0.941453,
  0.946421,
  0.951385,
  0.956346,
  0.961303,
  0.966257,
  0.971207,
  0.976154,
  0.981097,
  0.986037,
  0.990973,
  0.995906,
  1.000835,
  1.005761,
  1.010683,
  1.015601,
  1.020516,
  1.025428,
  1.030336,
  1.035240,
  1.040140,
  1.045038,
  1.049931,
  1.054821,
  1.059707,
  1.064589,
  1.069468,
  1.074343,
  1.079215,
  1.084083,
  1.088947,
  1.093808,
  1.098665,
  1.103518,
  1.108367,
  1.113213,
  1.118055,
  1.122893,
  1.127728,
  1.132559,
  1.137386,
  1.142209,
  1.147029,
  1.151845,
  1.156657,
  1.161465,
  1.166269,
  1.171070,
  1.175867,
  1.180660,
  1.185450,
  1.190235,
  1.195017,
  1.199795,
  1.204569,
  1.209339,
  1.214105,
  1.218868,
  1.223627,
  1.228382,
  1.233133,
  1.237880,
  1.242623,
  1.247363,
  1.252099,
  1.256830,
  1.261558,
  1.266282,
  1.271002,
  1.275719,
  1.280431,
  1.285139,
  1.289844,
  1.294545,
  1.299242,
  1.303934,
  1.308623,
  1.313308,
  1.317990,
  1.322667,
  1.327340,
  1.332009,
  1.336675,
  1.341336,
  1.345994,
  1.350648,
  1.355297,
  1.359943,
  1.364585,
  1.369223,
  1.373857,
  1.378487,
  1.383113,
  1.387735,
  1.392353,
  1.396968,
  1.401578,
  1.406184,
  1.410787,
  1.415385,
  1.419979,
  1.424570,
  1.429156,
  1.433739,
  1.438318,
  1.442892,
  1.447463,
  1.452029,
  1.456592,
  1.461151,
  1.465706,
  1.470256,
  1.474803,
  1.479346,
  1.483885,
  1.488420,
  1.492398,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.492332,
  -1.488600,
  -1.484065,
  -1.479526,
  -1.474983,
  -1.470435,
  -1.465884,
  -1.461329,
  -1.456770,
  -1.452207,
  -1.447639,
  -1.443068,
  -1.438493,
  -1.433914,
  -1.429331,
  -1.424744,
  -1.420152,
  -1.415557,
  -1.410958,
  -1.406355,
  -1.401748,
  -1.397137,
  -1.392522,
  -1.387903,
  -1.383280,
  -1.378653,
  -1.374022,
  -1.369387,
  -1.364748,
  -1.360105,
  -1.355458,
  -1.350807,
  -1.346152,
  -1.341493,
  -1.336831,
  -1.332164,
  -1.327493,
  -1.322819,
  -1.318140,
  -1.313457,
  -1.308771,
  -1.304081,
  -1.299386,
  -1.294688,
  -1.289986,
  -1.285280,
  -1.280569,
  -1.275855,
  -1.271137,
  -1.266416,
  -1.261690,
  -1.256960,
  -1.252227,
  -1.247489,
  -1.242748,
  -1.238002,
  -1.233253,
  -1.228500,
  -1.223743,
  -1.218982,
  -1.214218,
  -1.209449,
  -1.204677,
  -1.199900,
  -1.195120,
  -1.190336,
  -1.185548,
  -1.180757,
  -1.175961,
  -1.171162,
  -1.166359,
  -1.161552,
  -1.156741,
  -1.151926,
  -1.147108,
  -1.142286,
  -1.137460,
  -1.132630,
  -1.127796,
  -1.122959,
  -1.118118,
  -1.113273,
  -1.108424,
  -1.103572,
  -1.098716,
  -1.093856,
  -1.088992,
  -1.084125,
  -1.079254,
  -1.074379,
  -1.069501,
  -1.064618,
  -1.059733,
  -1.054843,
  -1.049950,
  -1.045053,
  -1.040153,
  -1.035249,
  -1.030341,
  -1.025429,
  -1.020514,
  -1.015596,
  -1.010674,
  -1.005748,
  -1.000818,
  -0.995885,
  -0.990949,
  -0.986009,
  -0.981065,
  -0.976118,
  -0.971167,
  -0.966213,
  -0.961255,
  -0.956293,
  -0.951329,
  -0.946360,
  -0.941389,
  -0.936413,
  -0.931435,
  -0.926453,
  -0.921467,
  -0.916478,
  -0.911486,
  -0.906490,
  -0.901491,
  -0.896488,
  -0.891482,
  -0.886473,
  -0.881460,
  -0.876444,
  -0.871425,
  -0.866402,
  -0.861376,
  -0.856347,
  -0.851315,
  -0.846279,
  -0.841240,
  -0.836198,
  -0.831152,
  -0.826103,
  -0.821051,
  -0.815996,
  -0.810938,
  -0.805877,
  -0.800812,
  -0.795744,
  -0.790674,
  -0.785600,
  -0.780522,
  -0.775442,
  -0.770359,
  -0.765273,
  -0.760184,
  -0.755091,
  -0.749996,
  -0.744898,
  -0.739796,
  -0.734692,
  -0.729585,
  -0.724474,
  -0.719361,
  -0.714245,
  -0.709126,
  -0.704004,
  -0.698880,
  -0.693752,
  -0.688622,
  -0.683489,
  -0.678353,
  -0.673214,
  -0.668072,
  -0.662928,
  -0.657781,
  -0.652631,
  -0.647479,
  -0.642324,
  -0.637166,
  -0.632005,
  -0.626842,
  -0.621676,
  -0.616508,
  -0.611337,
  -0.606164,
  -0.600988,
  -0.595809,
  -0.590628,
  -0.585444,
  -0.580258,
  -0.575070,
  -0.569879,
  -0.564685,
  -0.559489,
  -0.554291,
  -0.549091,
  -0.543888,
  -0.538682,
  -0.533475,
  -0.528265,
  -0.523053,
  -0.517838,
  -0.512622,
  -0.507403,
  -0.502182,
  -0.496958,
  -0.491733,
  -0.486505,
  -0.481276,
  -0.476044,
  -0.470810,
  -0.465574,
  -0.460336,
  -0.455096,
  -0.449854,
  -0.444610,
  -0.439364,
  -0.434117,
  -0.428867,
  -0.423615,
  -0.418362,
  -0.413106,
  -0.407849,
  -0.402590,
  -0.397329,
  -0.392066,
  -0.386802,
  -0.381536,
  -0.376268,
  -0.370999,
  -0.365728,
  -0.360455,
  -0.355180,
  -0.349904,
  -0.344627,
  -0.339348,
  -0.334067,
  -0.328785,
  -0.323501,
  -0.318216,
  -0.312930,
  -0.307642,
  -0.302352,
  -0.297062,
  -0.291770,
  -0.286476,
  -0.281182,
  -0.275886,
  -0.270588,
  -0.265290,
  -0.259990,
  -0.254689,
  -0.249387,
  -0.244084,
  -0.238780,
  -0.233475,
  -0.228168,
  -0.222861,
  -0.217552,
  -0.212243,
  -0.206932,
  -0.201621,
  -0.196309,
  -0.190995,
  -0.185681,
  -0.180366,
  -0.175050,
  -0.169734,
  -0.164416,
  -0.159098,
  -0.153779,
  -0.148460,
  -0.143139,
  -0.137818,
  -0.132497,
  -0.127175,
  -0.121852,
  -0.116528,
  -0.111205,
  -0.105880,
  -0.100555,
  -0.095230,
  -0.089904,
  -0.084578,
  -0.079251,
  -0.073924,
  -0.068597,
  -0.063269,
  -0.057941,
  -0.052613,
  -0.047285,
  -0.041956,
  -0.036627,
  -0.031298,
  -0.025969,
  -0.020639,
  -0.015310,
  -0.009981,
  -0.004651,
  0.000678,
  0.006008,
  0.011338,
  0.016667,
  0.021996,
  0.027326,
  0.032655,
  0.037984,
  0.043313,
  0.048641,
  0.053970,
  0.059298,
  0.064626,
  0.069953,
  0.075281,
  0.080607,
  0.085934,
  0.091260,
  0.096586,
  0.101911,
  0.107236,
  0.112560,
  0.117884,
  0.123207,
  0.128530,
  0.133852,
  0.139173,
  0.144494,
  0.149814,
  0.155134,
  0.160452,
  0.165770,
  0.171087,
  0.176404,
  0.181720,
  0.187034,
  0.192348,
  0.197661,
  0.202973,
  0.208285,
  0.213595,
  0.218904,
  0.224212,
  0.229519,
  0.234826,
  0.240131,
  0.245435,
  0.250738,
  0.256039,
  0.261340,
  0.266639,
  0.271937,
  0.277234,
  0.282530,
  0.287824,
  0.293117,
  0.298409,
  0.303699,
  0.308988,
  0.314276,
  0.319562,
  0.324847,
  0.330130,
  0.335412,
  0.340692,
  0.345971,
  0.351248,
  0.356523,
  0.361797,
  0.367070,
  0.372341,
  0.377610,
  0.382877,
  0.388143,
  0.393406,
  0.398669,
  0.403929,
  0.409188,
  0.414444,
  0.419699,
  0.424952,
  0.430204,
  0.435453,
  0.440700,
  0.445946,
  0.451189,
  0.456431,
  0.461670,
  0.466908,
  0.472143,
  0.477376,
  0.482608,
  0.487837,
  0.493064,
  0.498289,
  0.503511,
  0.508732,
  0.513950,
  0.519166,
  0.524380,
  0.529592,
  0.534801,
  0.540008,
  0.545213,
  0.550415,
  0.555615,
  0.560813,
  0.566008,
  0.571201,
  0.576391,
  0.581579,
  0.586764,
  0.591947,
  0.597128,
  0.602306,
  0.607481,
  0.612654,
  0.617824,
  0.622992,
  0.628157,
  0.633319,
  0.638479,
  0.643636,
  0.648791,
  0.653943,
  0.659092,
  0.664238,
  0.669382,
  0.674523,
  0.679661,
  0.684796,
  0.689928,
  0.695058,
  0.700185,
  0.705309,
  0.710430,
  0.715548,
  0.720663,
  0.725776,
  0.730885,
  0.735992,
  0.741095,
  0.746196,
  0.751293,
  0.756388,
  0.761480,
  0.766568,
  0.771654,
  0.776736,
  0.781815,
  0.786892,
  0.791965,
  0.797035,
  0.802102,
  0.807166,
  0.812226,
  0.817284,
  0.822338,
  0.827389,
  0.832437,
  0.837482,
  0.842523,
  0.847561,
  0.852596,
  0.857628,
  0.862656,
  0.867681,
  0.872703,
  0.877722,
  0.882737,
  0.887749,
  0.892757,
  0.897762,
  0.902764,
  0.907762,
  0.912757,
  0.917749,
  0.922737,
  0.927721,
  0.932703,
  0.937680,
  0.942655,
  0.947626,
  0.952593,
  0.957557,
  0.962517,
  0.967474,
  0.972428,
  0.977378,
  0.982324,
  0.987267,
  0.992206,
  0.997142,
  1.002074,
  1.007002,
  1.011927,
  1.016848,
  1.021766,
  1.026680,
  1.031591,
  1.036498,
  1.041401,
  1.046300,
  1.051196,
  1.056088,
  1.060977,
  1.065862,
  1.070743,
  1.075621,
  1.080494,
  1.085364,
  1.090231,
  1.095093,
  1.099952,
  1.104808,
  1.109659,
  1.114507,
  1.119351,
  1.124191,
  1.129027,
  1.133860,
  1.138689,
  1.143514,
  1.148335,
  1.153152,
  1.157966,
  1.162776,
  1.167582,
  1.172384,
  1.177183,
  1.181977,
  1.186768,
  1.191555,
  1.196338,
  1.201117,
  1.205892,
  1.210664,
  1.215431,
  1.220195,
  1.224955,
  1.229711,
  1.234463,
  1.239211,
  1.243955,
  1.248696,
  1.253432,
  1.258165,
  1.262893,
  1.267618,
  1.272339,
  1.277056,
  1.281769,
  1.286478,
  1.291183,
  1.295884,
  1.300582,
  1.305275,
  1.309965,
  1.314650,
  1.319332,
  1.324009,
  1.328683,
  1.333352,
  1.338018,
  1.342680,
  1.347338,
  1.351992,
  1.356641,
  1.361287,
  1.365929,
  1.370567,
  1.375201,
  1.379831,
  1.384457,
  1.389079,
  1.393697,
  1.398311,
  1.402921,
  1.407527,
  1.412130,
  1.416728,
  1.421322,
  1.425912,
  1.430498,
  1.435080,
  1.439658,
  1.444233,
  1.448803,
  1.453369,
  1.457931,
  1.462489,
  1.467043,
  1.471594,
  1.476140,
  1.480682,
  1.485220,
  1.489754,
  1.492398,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.492332,
  -1.489994,
  -1.485460,
  -1.480921,
  -1.476379,
  -1.471832,
  -1.467282,
  -1.462727,
  -1.458169,
  -1.453606,
  -1.449039,
  -1.444469,
  -1.439894,
  -1.435315,
  -1.430732,
  -1.426146,
  -1.421555,
  -1.416960,
  -1.412361,
  -1.407758,
  -1.403152,
  -1.398541,
  -1.393926,
  -1.389307,
  -1.384684,
  -1.380057,
  -1.375426,
  -1.370791,
  -1.366152,
  -1.361509,
  -1.356862,
  -1.352211,
  -1.347556,
  -1.342897,
  -1.338234,
  -1.333567,
  -1.328896,
  -1.324221,
  -1.319542,
  -1.314859,
  -1.310173,
  -1.305482,
  -1.300787,
  -1.296088,
  -1.291385,
  -1.286678,
  -1.281968,
  -1.277253,
  -1.272534,
  -1.267812,
  -1.263085,
  -1.258355,
  -1.253620,
  -1.248882,
  -1.244140,
  -1.239393,
  -1.234643,
  -1.229889,
  -1.225131,
  -1.220369,
  -1.215603,
  -1.210834,
  -1.206060,
  -1.201282,
  -1.196501,
  -1.191715,
  -1.186926,
  -1.182133,
  -1.177336,
  -1.172535,
  -1.167731,
  -1.162922,
  -1.158110,
  -1.153293,
  -1.148473,
  -1.143649,
  -1.138821,
  -1.133990,
  -1.129154,
  -1.124315,
  -1.119472,
  -1.114625,
  -1.109774,
  -1.104920,
  -1.100062,
  -1.095200,
  -1.090334,
  -1.085464,
  -1.080591,
  -1.075714,
  -1.070833,
  -1.065949,
  -1.061060,
  -1.056168,
  -1.051273,
  -1.046373,
  -1.041470,
  -1.036563,
  -1.031653,
  -1.026739,
  -1.021821,
  -1.016899,
  -1.011974,
  -1.007046,
  -1.002113,
  -0.997177,
  -0.992238,
  -0.987294,
  -0.982348,
  -0.977397,
  -0.972443,
  -0.967486,
  -0.962524,
  -0.957560,
  -0.952592,
  -0.947620,
  -0.942645,
  -0.937666,
  -0.932684,
  -0.927698,
  -0.922709,
  -0.917716,
  -0.912720,
  -0.907720,
  -0.902717,
  -0.897711,
  -0.892701,
  -0.887688,
  -0.882671,
  -0.877651,
  -0.872627,
  -0.867601,
  -0.862570,
  -0.857537,
  -0.852500,
  -0.847460,
  -0.842417,
  -0.837370,
  -0.832320,
  -0.827267,
  -0.822210,
  -0.817151,
  -0.812088,
  -0.807022,
  -0.801952,
  -0.796880,
  -0.791804,
  -0.786725,
  -0.781643,
  -0.776558,
  -0.771470,
  -0.766379,
  -0.761284,
  -0.756187,
  -0.751086,
  -0.745983,
  -0.740876,
  -0.735766,
  -0.730654,
  -0.725538,
  -0.720420,
  -0.715298,
  -0.710174,
  -0.705046,
  -0.699916,
  -0.694783,
  -0.689647,
  -0.684508,
  -0.679366,
  -0.674221,
  -0.669074,
  -0.663924,
  -0.658771,
  -0.653615,
  -0.648457,
  -0.643295,
  -0.638131,
  -0.632965,
  -0.627795,
  -0.622623,
  -0.617449,
  -0.612272,
  -0.607092,
  -0.601909,
  -0.596724,
  -0.591537,
  -0.586346,
  -0.581154,
  -0.575959,
  -0.570761,
  -0.565561,
  -0.560358,
  -0.555153,
  -0.549946,
  -0.544736,
  -0.539524,
  -0.534310,
  -0.529093,
  -0.523874,
  -0.518652,
  -0.513429,
  -0.508203,
  -0.502974,
  -0.497744,
  -0.492511,
  -0.487277,
  -0.482040,
  -0.476801,
  -0.471559,
  -0.466316,
  -0.461071,
  -0.455823,
  -0.450574,
  -0.445322,
  -0.440069,
  -0.434813,
  -0.429556,
  -0.424297,
  -0.419035,
  -0.413772,
  -0.408507,
  -0.403241,
  -0.397972,
  -0.392702,
  -0.387429,
  -0.382155,
  -0.376880,
  -0.371602,
  -0.366323,
  -0.361042,
  -0.355760,
  -0.350476,
  -0.345190,
  -0.339903,
  -0.334614,
  -0.329324,
  -0.324032,
  -0.318739,
  -0.313444,
  -0.308148,
  -0.302850,
  -0.297551,
  -0.292251,
  -0.286949,
  -0.281646,
  -0.276342,
  -0.271036,
  -0.265729,
  -0.260421,
  -0.255112,
  -0.249801,
  -0.244490,
  -0.239177,
  -0.233863,
  -0.228548,
  -0.223232,
  -0.217915,
  -0.212597,
  -0.207278,
  -0.201957,
  -0.196636,
  -0.191314,
  -0.185992,
  -0.180668,
  -0.175343,
  -0.170018,
  -0.164692,
  -0.159365,
  -0.154037,
  -0.148709,
  -0.143380,
  -0.138050,
  -0.132719,
  -0.127388,
  -0.122057,
  -0.116724,
  -0.111392,
  -0.106058,
  -0.100724,
  -0.095390,
  -0.090055,
  -0.084720,
  -0.079385,
  -0.074049,
  -0.068712,
  -0.063376,
  -0.058039,
  -0.052702,
  -0.047364,
  -0.042027,
  -0.036689,
  -0.031351,
  -0.026013,
  -0.020674,
  -0.015336,
  -0.009997,
  -0.004659,
  0.000680,
  0.006018,
  0.011357,
  0.016695,
  0.022034,
  0.027372,
  0.032710,
  0.038048,
  0.043386,
  0.048723,
  0.054061,
  0.059398,
  0.064735,
  0.070071,
  0.075407,
  0.080743,
  0.086079,
  0.091414,
  0.096748,
  0.102083,
  0.107416,
  0.112749,
  0.118082,
  0.123414,
  0.128746,
  0.134077,
  0.139407,
  0.144736,
  0.150065,
  0.155394,
  0.160721,
  0.166048,
  0.171374,
  0.176699,
  0.182023,
  0.187347,
  0.192670,
  0.197991,
  0.203312,
  0.208632,
  0.213951,
  0.219269,
  0.224586,
  0.229901,
  0.235216,
  0.240530,
  0.245842,
  0.251154,
  0.256464,
  0.261773,
  0.267081,
  0.272387,
  0.277693,
  0.282997,
  0.288299,
  0.293601,
  0.298901,
  0.304199,
  0.309497,
  0.314792,
  0.320087,
  0.325380,
  0.330671,
  0.335961,
  0.341249,
  0.346536,
  0.351822,
  0.357105,
  0.362387,
  0.367667,
  0.372946,
  0.378223,
  0.383498,
  0.388772,
  0.394044,
  0.399314,
  0.404582,
  0.409848,
  0.415113,
  0.420375,
  0.425636,
  0.430895,
  0.436152,
  0.441407,
  0.446660,
  0.451911,
  0.457159,
  0.462406,
  0.467651,
  0.472894,
  0.478135,
  0.483373,
  0.488610,
  0.493844,
  0.499076,
  0.504306,
  0.509533,
  0.514759,
  0.519982,
  0.525203,
  0.530421,
  0.535638,
  0.540851,
  0.546063,
  0.551272,
  0.556479,
  0.561683,
  0.566885,
  0.572085,
  0.577282,
  0.582476,
  0.587668,
  0.592858,
  0.598045,
  0.603229,
  0.608411,
  0.613590,
  0.618767,
  0.623941,
  0.629112,
  0.634281,
  0.639446,
  0.644610,
  0.649770,
  0.654928,
  0.660083,
  0.665235,
  0.670385,
  0.675532,
  0.680675,
  0.685816,
  0.690955,
  0.696090,
  0.701222,
  0.706352,
  0.711479,
  0.716602,
  0.721723,
  0.726841,
  0.731956,
  0.737068,
  0.742177,
  0.747282,
  0.752385,
  0.757485,
  0.762582,
  0.767675,
  0.772766,
  0.777853,
  0.782938,
  0.788019,
  0.793097,
  0.798172,
  0.803243,
  0.808312,
  0.813377,
  0.818439,
  0.823498,
  0.828554,
  0.833606,
  0.838655,
  0.843701,
  0.848744,
  0.853783,
  0.858819,
  0.863851,
  0.868881,
  0.873907,
  0.878929,
  0.883948,
  0.888964,
  0.893977,
  0.898986,
  0.903991,
  0.908993,
  0.913992,
  0.918987,
  0.923979,
  0.928968,
  0.933953,
  0.938934,
  0.943912,
  0.948886,
  0.953857,
  0.958824,
  0.963788,
  0.968748,
  0.973705,
  0.978658,
  0.983607,
  0.988553,
  0.993496,
  0.998434,
  1.003369,
  1.008301,
  1.013229,
  1.018153,
  1.023073,
  1.027990,
  1.032904,
  1.037813,
  1.042719,
  1.047621,
  1.052520,
  1.057414,
  1.062305,
  1.067193,
  1.072076,
  1.076956,
  1.081832,
  1.086704,
  1.091573,
  1.096438,
  1.101299,
  1.106156,
  1.111010,
  1.115860,
  1.120705,
  1.125548,
  1.130386,
  1.135220,
  1.140051,
  1.144878,
  1.149701,
  1.154520,
  1.159335,
  1.164147,
  1.168954,
  1.173758,
  1.178558,
  1.183354,
  1.188146,
  1.192934,
  1.197719,
  1.202499,
  1.207276,
  1.212048,
  1.216817,
  1.221582,
  1.226343,
  1.231100,
  1.235853,
  1.240602,
  1.245347,
  1.250089,
  1.254826,
  1.259560,
  1.264289,
  1.269015,
  1.273736,
  1.278454,
  1.283167,
  1.287877,
  1.292583,
  1.297285,
  1.301983,
  1.306676,
  1.311366,
  1.316052,
  1.320734,
  1.325412,
  1.330086,
  1.334756,
  1.339422,
  1.344084,
  1.348742,
  1.353396,
  1.358046,
  1.362692,
  1.367334,
  1.371971,
  1.376606,
  1.381235,
  1.385861,
  1.390483,
  1.395101,
  1.399715,
  1.404325,
  1.408931,
  1.413533,
  1.418130,
  1.422724,
  1.427314,
  1.431900,
  1.436481,
  1.441059,
  1.445633,
  1.450203,
  1.454768,
  1.459330,
  1.463887,
  1.468441,
  1.472990,
  1.477536,
  1.482077,
  1.486615,
  1.491148,
  1.492398,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860,
  -1.498849,
  -1.498627,
  -1.498404,
  -1.498179,
  -1.497953,
  -1.497725,
  -1.497496,
  -1.497265,
  -1.497034,
  -1.496800,
  -1.496565,
  -1.496329,
  -1.496091,
  -1.495852,
  -1.495611,
  -1.495368,
  -1.495124,
  -1.494878,
  -1.494631,
  -1.494382,
  -1.494132,
  -1.493880,
  -1.493626,
  -1.493370,
  -1.493113,
  -1.492854,
  -1.492594,
  -1.492332,
  -1.491448,
  -1.486915,
  -1.482377,
  -1.477835,
  -1.473289,
  -1.468739,
  -1.464185,
  -1.459628,
  -1.455065,
  -1.450499,
  -1.445929,
  -1.441355,
  -1.436777,
  -1.432195,
  -1.427608,
  -1.423018,
  -1.418423,
  -1.413825,
  -1.409222,
  -1.404616,
  -1.400005,
  -1.395390,
  -1.390772,
  -1.386149,
  -1.381522,
  -1.376891,
  -1.372256,
  -1.367617,
  -1.362974,
  -1.358327,
  -1.353676,
  -1.349021,
  -1.344362,
  -1.339698,
  -1.335031,
  -1.330360,
  -1.325685,
  -1.321005,
  -1.316322,
  -1.311635,
  -1.306944,
  -1.302248,
  -1.297549,
  -1.292845,
  -1.288138,
  -1.283427,
  -1.278711,
  -1.273992,
  -1.269269,
  -1.264541,
  -1.259810,
  -1.255075,
  -1.250335,
  -1.245592,
  -1.240845,
  -1.236094,
  -1.231339,
  -1.226579,
  -1.221816,
  -1.217049,
  -1.212278,
  -1.207503,
  -1.202724,
  -1.197942,
  -1.193155,
  -1.188364,
  -1.183570,
  -1.178771,
  -1.173969,
  -1.169163,
  -1.164352,
  -1.159538,
  -1.154720,
  -1.149898,
  -1.145072,
  -1.140243,
  -1.135409,
  -1.130572,
  -1.125731,
  -1.120886,
  -1.116037,
  -1.111184,
  -1.106327,
  -1.101467,
  -1.096603,
  -1.091735,
  -1.086863,
  -1.081987,
  -1.077108,
  -1.072224,
  -1.067337,
  -1.062446,
  -1.057552,
  -1.052654,
  -1.047752,
  -1.042846,
  -1.037936,
  -1.033023,
  -1.028106,
  -1.023185,
  -1.018261,
  -1.013333,
  -1.008401,
  -1.003466,
  -0.998526,
  -0.993584,
  -0.988637,
  -0.983687,
  -0.978733,
  -0.973776,
  -0.968815,
  -0.963850,
  -0.958882,
  -0.953911,
  -0.948935,
  -0.943956,
  -0.938974,
  -0.933988,
  -0.928998,
  -0.924005,
  -0.919009,
  -0.914009,
  -0.909005,
  -0.903998,
  -0.898988,
  -0.893974,
  -0.888956,
  -0.883935,
  -0.878911,
  -0.873883,
  -0.868852,
  -0.863818,
  -0.858780,
  -0.853739,
  -0.848694,
  -0.843646,
  -0.838595,
  -0.833540,
  -0.828482,
  -0.823421,
  -0.818357,
  -0.813289,
  -0.808218,
  -0.803144,
  -0.798066,
  -0.792985,
  -0.787901,
  -0.782814,
  -0.777724,
  -0.772631,
  -0.767534,
  -0.762434,
  -0.757332,
  -0.752226,
  -0.747117,
  -0.742004,
  -0.736889,
  -0.731771,
  -0.726650,
  -0.721526,
  -0.716398,
  -0.711268,
  -0.706135,
  -0.700999,
  -0.695860,
  -0.690718,
  -0.685573,
  -0.680425,
  -0.675274,
  -0.670121,
  -0.664964,
  -0.659805,
  -0.654643,
  -0.649478,
  -0.644311,
  -0.639141,
  -0.633968,
  -0.628792,
  -0.623613,
  -0.618432,
  -0.613248,
  -0.608062,
  -0.602873,
  -0.597681,
  -0.592486,
  -0.587290,
  -0.582090,
  -0.576888,
  -0.571683,
  -0.566476,
  -0.561267,
  -0.556055,
  -0.550840,
  -0.545623,
  -0.540404,
  -0.535182,
  -0.529958,
  -0.524732,
  -0.519503,
  -0.514272,
  -0.509039,
  -0.503803,
  -0.498565,
  -0.493325,
  -0.488083,
  -0.482838,
  -0.477591,
  -0.472343,
  -0.467092,
  -0.461838,
  -0.456583,
  -0.451326,
  -0.446067,
  -0.440805,
  -0.435542,
  -0.430277,
  -0.425009,
  -0.419740,
  -0.414469,
  -0.409196,
  -0.403921,
  -0.398644,
  -0.393366,
  -0.388085,
  -0.382803,
  -0.377519,
  -0.372233,
  -0.366946,
  -0.361657,
  -0.356366,
  -0.351074,
  -0.345780,
  -0.340484,
  -0.335187,
  -0.329888,
  -0.324588,
  -0.319286,
  -0.313982,
  -0.308677,
  -0.303371,
  -0.298063,
  -0.292754,
  -0.287444,
  -0.282132,
  -0.276819,
  -0.271505,
  -0.266189,
  -0.260872,
  -0.255554,
  -0.250234,
  -0.244914,
  -0.239592,
  -0.234269,
  -0.228945,
  -0.223620,
  -0.218294,
  -0.212967,
  -0.207639,
  -0.202309,
  -0.196979,
  -0.191648,
  -0.186316,
  -0.180983,
  -0.175650,
  -0.170315,
  -0.164980,
  -0.159644,
  -0.154307,
  -0.148969,
  -0.143631,
  -0.138292,
  -0.132952,
  -0.127612,
  -0.122271,
  -0.116929,
  -0.111587,
  -0.106245,
  -0.100901,
  -0.095558,
  -0.090214,
  -0.084869,
  -0.079524,
  -0.074179,
  -0.068833,
  -0.063487,
  -0.058141,
  -0.052795,
  -0.047448,
  -0.042101,
  -0.036753,
  -0.031406,
  -0.026058,
  -0.020711,
  -0.015363,
  -0.010015,
  -0.004667,
  0.000681,
  0.006029,
  0.011377,
  0.016725,
  0.022072,
  0.027420,
  0.032768,
  0.038115,
  0.043462,
  0.048809,
  0.054156,
  0.059502,
  0.064849,
  0.070194,
  0.075540,
  0.080885,
  0.086230,
  0.091574,
  0.096918,
  0.102262,
  0.107605,
  0.112947,
  0.118289,
  0.123631,
  0.128972,
  0.134312,
  0.139651,
  0.144990,
  0.150328,
  0.155666,
  0.161002,
  0.166338,
  0.171674,
  0.177008,
  0.182341,
  0.187674,
  0.193006,
  0.198337,
  0.203666,
  0.208995,
  0.214323,
  0.219650,
  0.224976,
  0.230301,
  0.235624,
  0.240947,
  0.246269,
  0.251589,
  0.256908,
  0.262226,
  0.267542,
  0.272858,
  0.278172,
  0.283485,
  0.288796,
  0.294106,
  0.299415,
  0.304722,
  0.310028,
  0.315333,
  0.320636,
  0.325937,
  0.331237,
  0.336536,
  0.341832,
  0.347128,
  0.352421,
  0.357713,
  0.363004,
  0.368292,
  0.373579,
  0.378865,
  0.384148,
  0.389430,
  0.394710,
  0.399988,
  0.405264,
  0.410539,
  0.415811,
  0.421082,
  0.426351,
  0.431618,
  0.436882,
  0.442145,
  0.447406,
  0.452665,
  0.457922,
  0.463176,
  0.468429,
  0.473679,
  0.478928,
  0.484174,
  0.489418,
  0.494659,
  0.499899,
  0.505136,
  0.510371,
  0.515604,
  0.520835,
  0.526063,
  0.531289,
  0.536512,
  0.541733,
  0.546952,
  0.552168,
  0.557382,
  0.562593,
  0.567802,
  0.573009,
  0.578213,
  0.583414,
  0.588613,
  0.593809,
  0.599003,
  0.604194,
  0.609382,
  0.614568,
  0.619751,
  0.624932,
  0.630110,
  0.635285,
  0.640457,
  0.645627,
  0.650794,
  0.655958,
  0.661119,
  0.666278,
  0.671433,
  0.676586,
  0.681736,
  0.686883,
  0.692027,
  0.697169,
  0.702307,
  0.707442,
  0.712575,
  0.717704,
  0.722831,
  0.727954,
  0.733075,
  0.738192,
  0.743306,
  0.748418,
  0.753526,
  0.758631,
  0.763733,
  0.768832,
  0.773928,
  0.779020,
  0.784110,
  0.789196,
  0.794279,
  0.799359,
  0.804436,
  0.809509,
  0.814579,
  0.819646,
  0.824710,
  0.829770,
  0.834827,
  0.839881,
  0.844932,
  0.849979,
  0.855022,
  0.860063,
  0.865100,
  0.870134,
  0.875164,
  0.880191,
  0.885214,
  0.890234,
  0.895251,
  0.900264,
  0.905273,
  0.910280,
  0.915282,
  0.920281,
  0.925277,
  0.930269,
  0.935258,
  0.940243,
  0.945224,
  0.950202,
  0.955177,
  0.960148,
  0.965115,
  0.970079,
  0.975039,
  0.979995,
  0.984948,
  0.989897,
  0.994842,
  0.999784,
  1.004722,
  1.009657,
  1.014588,
  1.019515,
  1.024439,
  1.029358,
  1.034274,
  1.039187,
  1.044095,
  1.049000,
  1.053901,
  1.058799,
  1.063692,
  1.068582,
  1.073468,
  1.078350,
  1.083229,
  1.088104,
  1.092974,
  1.097842,
  1.102705,
  1.107564,
  1.112420,
  1.117272,
  1.122120,
  1.126964,
  1.131804,
  1.136640,
  1.141473,
  1.146302,
  1.151126,
  1.155947,
  1.160764,
  1.165577,
  1.170387,
  1.175192,
  1.179993,
  1.184791,
  1.189584,
  1.194374,
  1.199160,
  1.203942,
  1.208719,
  1.213493,
  1.218263,
  1.223029,
  1.227792,
  1.232550,
  1.237304,
  1.242054,
  1.246800,
  1.251542,
  1.256281,
  1.261015,
  1.265745,
  1.270472,
  1.275194,
  1.279912,
  1.284627,
  1.289337,
  1.294043,
  1.298746,
  1.303444,
  1.308138,
  1.312829,
  1.317515,
  1.322197,
  1.326876,
  1.331550,
  1.336220,
  1.340886,
  1.345548,
  1.350206,
  1.354861,
  1.359511,
  1.364157,
  1.368799,
  1.373437,
  1.378070,
  1.382700,
  1.387326,
  1.391948,
  1.396566,
  1.401179,
  1.405789,
  1.410395,
  1.414996,
  1.419594,
  1.424187,
  1.428776,
  1.433362,
  1.437943,
  1.442520,
  1.447093,
  1.451662,
  1.456228,
  1.460788,
  1.465345,
  1.469898,
  1.474447,
  1.478992,
  1.483533,
  1.488069,
  1.492135,
  1.492398,
  1.492660,
  1.492921,
  1.493179,
  1.493436,
  1.493691,
  1.493944,
  1.494196,
  1.494446,
  1.494694,
  1.494941,
  1.495186,
  1.495430,
  1.495672,
  1.495913,
  1.496152,
  1.496389,
  1.496625,
  1.496860
};
