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test_spec_functions_data.hpp

test_spec_functions_data.hpp 164 KB
文件歷史 原始文件

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
  1. // complex(z), n, complex(D1(n,z)), abs_err_real, abs_err_imag
    2. 

  2. std::vector< std::tuple< std::complex<double>, int, std::complex<double>, double, double > >
    3. 

  3. D1_test_16digits
    4. 

  4. = {
    5. 

  5. {{0.07425,0.0},0,{13.44325436668153,0.0},1.3e-15,0.0},
    6. 

  6. {{0.07425,0.0},1,{26.92117459633998,0.0},2.7e-15,0.0},
    7. 

  7. {{0.07425,0.0},2,{40.39343233283062,0.0},4.0e-15,0.0},
    8. 

  8. {{0.07425,0.0},3,{53.8638034125887,0.0},5.4e-15,0.0},
    9. 

  9. {{0.07425,0.0},4,{67.33331707981798,0.0},6.7e-15,0.0},
    10. 

  10. {{0.07575,0.0},0,{13.17606046765979,0.0},1.3e-15,0.0},
    11. 

  11. {{0.07575,0.0},1,{26.38748777963147,0.0},2.6e-15,0.0},
    12. 

  12. {{0.07575,0.0},2,{39.59313798170167,0.0},4.0e-15,0.0},
    13. 

  13. {{0.07575,0.0},3,{52.79686337350637,0.0},5.3e-15,0.0},
    14. 

  14. {{0.07575,0.0},4,{65.99971402008605,0.0},6.6e-15,0.0},
    15. 

  15. {{7.5,0.0},0,{0.3695472563090164,0.0},3.7e-17,0.0},
    16. 

  16. {{7.5,0.0},1,{-4.366784043615744,0.0},4.4e-16,0.0},
    17. 

  17. {{7.5,0.0},2,{-0.05084479598595977,0.0},5.1e-18,0.0},
    18. 

  18. {{7.5,0.0},3,{1.818058207399475,0.0},1.8e-16,0.0},
    19. 

  19. {{7.5,0.0},4,{-1.311710105034662,0.0},1.3e-16,0.0},
    20. 

  20. {{7.5,0.0},5,{-0.1612017752951218,0.0},1.6e-17,0.0},
    21. 

  21. {{7.5,0.0},6,{0.2403642873973738,0.0},2.4e-17,0.0},
    22. 

  22. {{7.5,0.0},7,{0.509732566745001,0.0},5.1e-17,0.0},
    23. 

  23. {{7.5,0.0},8,{0.7288779051967778,0.0},7.3e-17,0.0},
    24. 

  24. {{7.5,0.0},9,{0.9225920223879098,0.0},9.2e-17,0.0},
    25. 

  25. {{7.5,0.0},10,{1.101289075837662,0.0},1.1e-16,0.0},
    26. 

  26. {{7.5,0.0},11,{1.270228055670032,0.0},1.3e-16,0.0},
    27. 

  27. {{7.5,0.0},12,{1.432398653656861,0.0},1.4e-16,0.0},
    28. 

  28. {{7.5,0.0},13,{1.589646926286713,0.0},1.6e-16,0.0},
    29. 

  29. {{7.5,0.0},14,{1.743184380873933,0.0},1.7e-16,0.0},
    30. 

  30. {{7.5,0.0},16,{2.042220854428171,0.0},2.0e-16,0.0},
    31. 

  31. {{7.5,0.0},17,{2.188751725980377,0.0},2.2e-16,0.0},
    32. 

  32. {{7.5,0.0},18,{2.33376648704411,0.0},2.3e-16,0.0},
    33. 

  33. {{7.5,0.0},19,{2.477519013106746,0.0},2.5e-16,0.0},
    34. 

  34. {{7.5,0.0},21,{2.761992897922038,0.0},2.8e-16,0.0},
    35. 

  35. {{7.5,0.0},22,{2.90300061550683,0.0},2.9e-16,0.0},
    36. 

  36. {{7.5,0.0},24,{3.183085123876985,0.0},3.2e-16,0.0},
    37. 

  37. {{7.5,0.0},26,{3.461101068633011,0.0},3.5e-16,0.0},
    38. 

  38. {{7.5,0.0},27,{3.599479435575162,0.0},3.6e-16,0.0},
    39. 

  39. {{7.5,0.0},30,{4.012605389511785,0.0},4.0e-16,0.0},
    40. 

  40. {{750.0,0.0},0,{-0.8951915139149222,0.0},9.0e-17,0.0},
    41. 

  41. {{750.0,0.0},1,{1.114084720130935,0.0},1.1e-16,0.0},
    42. 

  42. {{750.0,0.0},2,{-0.9024181120233614,0.0},9.0e-17,0.0},
    43. 

  43. {{750.0,0.0},3,{1.099243620946342,0.0},1.1e-16,0.0},
    44. 

  44. {{750.0,0.0},4,{-0.9194850798920686,0.0},9.2e-17,0.0},
    45. 

  45. {{750.0,0.0},5,{1.073070000370522,0.0},1.1e-16,0.0},
    46. 

  46. {{750.0,0.0},6,{-0.9469054237300034,0.0},9.5e-17,0.0},
    47. 

  47. {{750.0,0.0},7,{1.036430596034115,0.0},1.0e-16,0.0},
    48. 

  48. {{750.0,0.0},9,{0.990456172692469,0.0},9.9e-17,0.0},
    49. 

  49. {{750.0,0.0},10,{-1.036746111869826,0.0},1.0e-16,0.0},
    50. 

  50. {{750.0,0.0},11,{0.9364345757891685,0.0},9.4e-17,0.0},
    51. 

  51. {{750.0,0.0},13,{0.875701892481254,0.0},8.8e-17,0.0},
    52. 

  52. {{750.0,0.0},15,{0.8095451807506758,0.0},8.1e-17,0.0},
    53. 

  53. {{750.0,0.0},18,{-1.422356478541503,0.0},1.4e-16,0.0},
    54. 

  54. {{750.0,0.0},20,{-1.592210408225887,0.0},1.6e-16,0.0},
    55. 

  55. {{750.0,0.0},23,{0.5110077375181897,0.0},5.1e-17,0.0},
    56. 

  56. {{750.0,0.0},27,{0.3496666467211573,0.0},3.5e-17,0.0},
    57. 

  57. {{750.0,0.0},31,{0.1809968576664919,0.0},1.8e-17,0.0},
    58. 

  58. {{750.0,0.0},35,{0.0004860079342239934,0.0},4.9e-20,0.0},
    59. 

  59. {{750.0,0.0},41,{-0.317251336807483,0.0},3.2e-17,0.0},
    60. 

  60. {{750.0,0.0},47,{-0.7807372174284117,0.0},7.8e-17,0.0},
    61. 

  61. {{750.0,0.0},54,{0.4580930397540441,0.0},4.6e-17,0.0},
    62. 

  62. {{750.0,0.0},62,{-0.1958618028998245,0.0},2.0e-17,0.0},
    63. 

  63. {{750.0,0.0},71,{0.6403656124320398,0.0},6.4e-17,0.0},
    64. 

  64. {{750.0,0.0},81,{-0.4803642218027248,0.0},4.8e-17,0.0},
    65. 

  65. {{750.0,0.0},93,{3.417692358670104,0.0},3.4e-16,0.0},
    66. 

  66. {{750.0,0.0},107,{-0.6675908137518288,0.0},6.7e-17,0.0},
    67. 

  67. {{750.0,0.0},123,{0.07336983052954298,0.0},7.3e-18,0.0},
    68. 

  68. {{750.0,0.0},141,{0.01864087618833894,0.0},1.9e-18,0.0},
    69. 

  69. {{750.0,0.0},162,{0.4662167115741941,0.0},4.7e-17,0.0},
    70. 

  70. {{750.0,0.0},186,{1.869792416792102,0.0},1.9e-16,0.0},
    71. 

  71. {{750.0,0.0},214,{-0.1962317049357189,0.0},2.0e-17,0.0},
    72. 

  72. {{750.0,0.0},246,{-0.9241109217019534,0.0},9.2e-17,0.0},
    73. 

  73. {{750.0,0.0},282,{-2.278752089160206,0.0},2.3e-16,0.0},
    74. 

  74. {{750.0,0.0},324,{0.1492340462699953,0.0},1.5e-17,0.0},
    75. 

  75. {{750.0,0.0},372,{-1.501050800107926,0.0},1.5e-16,0.0},
    76. 

  76. {{750.0,0.0},427,{1.251448627689853,0.0},1.3e-16,0.0},
    77. 

  77. {{750.0,0.0},490,{-2.307846776579645,0.0},2.3e-16,0.0},
    78. 

  78. {{750.0,0.0},562,{-0.6678454189015009,0.0},6.7e-17,0.0},
    79. 

  79. {{750.0,0.0},645,{4.123866493958505,0.0},4.1e-16,0.0},
    80. 

  80. {{750.0,0.0},740,{-0.04954886515946186,0.0},5.0e-18,0.0},
    81. 

  81. {{750.0,0.0},850,{0.5377162125402363,0.0},5.4e-17,0.0},
    82. 

  82. {{133.0,-0.001},0,{0.5694948983815571,0.001324324427352377},5.7e-17,1.3e-19},
    83. 

  83. {{133.0,-0.001},1,{-1.786944015800289,0.004193067842684484},1.8e-16,4.2e-19},
    84. 

  84. {{133.0,-0.001},2,{0.5399040215866582,0.001291157104802603},5.4e-17,1.3e-19},
    85. 

  85. {{133.0,-0.001},3,{-1.955480625798034,0.004823242927232421},2.0e-16,4.8e-19},
    86. 

  86. {{133.0,-0.001},4,{0.4735591560334697,0.001223127495142088},4.7e-17,1.2e-19},
    87. 

  87. {{133.0,-0.001},5,{-2.331337152694187,0.006433469776449445},2.3e-16,6.4e-19},
    88. 

  88. {{133.0,-0.001},6,{0.3756798707528821,0.00113876079036902},3.8e-17,1.1e-19},
    89. 

  89. {{133.0,-0.001},7,{-3.148105562806491,0.01090750730183105},3.1e-16,1.1e-18},
    90. 

  90. {{133.0,-0.001},8,{0.2515418522954845,0.001059202692643652},2.5e-17,1.1e-19},
    91. 

  91. {{133.0,-0.001},9,{-5.506034746297112,0.03131226964093978},5.5e-16,3.1e-18},
    92. 

  92. {{133.0,-0.001},10,{0.1039785994199451,0.001004592673307026},1.0e-17,1.0e-19},
    93. 

  93. {{133.0,-0.001},11,{-46.98874438931292,2.213832762775254},4.7e-15,2.2e-16},
    94. 

  94. {{133.0,-0.001},13,{5.89811290505382,0.03577867985992821},5.9e-16,3.6e-18},
    95. 

  95. {{133.0,-0.001},14,{-0.2778831807551624,0.001065347008820747},2.8e-17,1.1e-19},
    96. 

  96. {{133.0,-0.001},16,{-0.5501021158428141,0.001287235517159257},5.5e-17,1.3e-19},
    97. 

  97. {{133.0,-0.001},18,{-0.9604617468736273,0.001903153851503216},9.6e-17,1.9e-19},
    98. 

  98. {{133.0,-0.001},20,{-1.781366135936702,0.004149533558522542},1.8e-16,4.1e-19},
    99. 

  99. {{133.0,-0.001},22,{-5.364106315522472,0.02974587750840188},5.4e-16,3.0e-18},
    100. 

  100. {{133.0,-0.001},24,{5.606849372659069,0.03240384877063995},5.6e-16,3.2e-18},
    101. 

  101. {{133.0,-0.001},27,{-0.9371713952326589,0.001835552825885577},9.4e-17,1.8e-19},
    102. 

  102. {{133.0,-0.001},30,{0.1444928510146065,0.0009683028517003325},1.4e-17,9.7e-20},
    103. 

  103. {{133.0,-0.001},34,{-1.077435738938742,0.002093596104973148},1.1e-16,2.1e-19},
    104. 

  104. {{133.0,-0.001},38,{2.388603684198123,0.006621682434854192},2.4e-16,6.6e-19},
    105. 

  105. {{133.0,-0.001},42,{-0.04594418870488948,0.0009000132524188679},4.6e-18,9.0e-20},
    106. 

  106. {{133.0,-0.001},47,{-0.1928537665101976,0.0009096554574653678},1.9e-17,9.1e-20},
    107. 

  107. {{133.0,-0.001},52,{-0.5759136780922404,0.001175873583204343},5.8e-17,1.2e-19},
    108. 

  108. {{133.0,-0.001},58,{-0.001534349994635456,0.0008065485786972979},1.5e-19,8.1e-20},
    109. 

  109. {{133.0,-0.001},65,{3.34959880398593,0.01197741989906779},3.3e-16,1.2e-18},
    110. 

  110. {{133.0,-0.001},72,{-1.128245159231274,0.001975805382904386},1.1e-16,2.0e-19},
    111. 

  111. {{133.0,-0.001},80,{0.3810052575576299,0.0007788355962317044},3.8e-17,7.8e-20},
    112. 

  112. {{133.0,-0.001},89,{-1.389569631366617,0.002478084310925133},1.4e-16,2.5e-19},
    113. 

  113. {{133.0,-0.001},99,{0.3062835121565152,0.0005341397085202431},3.1e-17,5.3e-20},
    114. 

  114. {{133.0,-0.001},111,{-1.197963349765192,0.0017323088546027},1.2e-16,1.7e-19},
    115. 

  115. {{133.0,-0.001},123,{19.56837074945142,0.3832056790545297},2.0e-15,3.8e-17},
    116. 

  116. {{133.0,-0.001},137,{0.3055541934481533,2.456354568026977e-5},3.1e-17,2.5e-21},
    117. 

  117. {{133.0,-0.001},153,{0.5906754727336102,1.688326789413069e-5},5.9e-17,1.7e-21},
    118. 

  118. {{133.0,-0.001},170,{0.8115766470088518,1.526245423300269e-5},8.1e-17,1.5e-21},
    119. 

  119. {{133.0,-0.001},190,{1.032740304150528,1.499507085033343e-5},1.0e-16,1.5e-21},
    120. 

  120. {{13300.0,-0.1},0,{-0.06692914070761327,0.1001189584035135},6.7e-18,1.0e-17},
    121. 

  121. {{13300.0,-0.1},1,{4.616651032403645,6.898387416052877},4.6e-16,6.9e-16},
    122. 

  122. {{13300.0,-0.1},2,{-0.06715345623133977,0.1001219830819477},6.7e-18,1.0e-17},
    123. 

  123. {{13300.0,-0.1},3,{4.626074281763076,6.874458933213065},4.6e-16,6.9e-16},
    124. 

  124. {{13300.0,-0.1},4,{-0.06767688502979775,0.1001290804260918},6.8e-18,1.0e-17},
    125. 

  125. {{13300.0,-0.1},5,{4.642643500855681,6.831476202578954},4.6e-16,6.8e-16},
    126. 

  126. {{13300.0,-0.1},6,{-0.06849948986240052,0.1001403458942619},6.8e-18,1.0e-17},
    127. 

  127. {{13300.0,-0.1},8,{-0.06962137099737601,0.1001559295836686},7.0e-18,1.0e-17},
    128. 

  128. {{13300.0,-0.1},10,{-0.0710426684088035,0.1001760363552384},7.1e-18,1.0e-17},
    129. 

  129. {{13300.0,-0.1},12,{-0.07276356477625575,0.1002009260094824},7.3e-18,1.0e-17},
    130. 

  130. {{13300.0,-0.1},15,{4.800736473590391,6.340163785321638},4.8e-16,6.3e-16},
    131. 

  131. {{13300.0,-0.1},18,{-0.07972640059807958,0.1003077196914383},8.0e-18,1.0e-17},
    132. 

  132. {{13300.0,-0.1},22,{-0.0858719620133543,0.1004100911573547},8.6e-18,1.0e-17},
    133. 

  133. {{13300.0,-0.1},27,{4.963740562022939,5.241410780782546},5.0e-16,5.2e-16},
    134. 

  134. {{13300.0,-0.1},32,{-0.1065312758569564,0.1008100053427372},1.1e-17,1.0e-17},
    135. 

  135. {{13300.0,-0.1},40,{-0.1285658848011511,0.101331312547063},1.3e-17,1.0e-17},
    136. 

  136. {{13300.0,-0.1},48,{-0.155597397912611,0.1021044995524675},1.6e-17,1.0e-17},
    137. 

  137. {{13300.0,-0.1},59,{3.92606850470495,2.024234276214423},3.9e-16,2.0e-16},
    138. 

  138. {{13300.0,-0.1},71,{3.266749502613612,1.325141142881345},3.3e-16,1.3e-16},
    139. 

  139. {{13300.0,-0.1},87,{2.48855009697603,0.7680626670413273},2.5e-16,7.7e-17},
    140. 

  140. {{13300.0,-0.1},105,{1.810033336881379,0.4412160521230632},1.8e-16,4.4e-17},
    141. 

  141. {{13300.0,-0.1},128,{-0.8087709702171539,0.1659490518456605},8.1e-17,1.7e-17},
    142. 

  142. {{13300.0,-0.1},155,{0.6659686332272149,0.1445045623007861},6.7e-17,1.4e-17},
    143. 

  143. {{13300.0,-0.1},189,{0.1528980344747564,0.1020017803208432},1.5e-17,1.0e-17},
    144. 

  144. {{13300.0,-0.1},229,{-0.5100291443011008,0.1258945028911659},5.1e-17,1.3e-17},
    145. 

  145. {{13300.0,-0.1},279,{-4.714579612576236,3.50370615462884},4.7e-16,3.5e-16},
    146. 

  146. {{13300.0,-0.1},338,{-2.613119300211035,0.8425696552260671},2.6e-16,8.4e-17},
    147. 

  147. {{13300.0,-0.1},411,{4.556185151927977,3.088849941285113},4.6e-16,3.1e-16},
    148. 

  148. {{13300.0,-0.1},499,{2.22274252736833,9.508151861627413},2.2e-16,9.5e-16},
    149. 

  149. {{13300.0,-0.1},606,{-3.48249445021244,1.524850417565235},3.5e-16,1.5e-16},
    150. 

  150. {{13300.0,-0.1},736,{3.705979656274174,8.373254202589672},3.7e-16,8.4e-16},
    151. 

  151. {{13300.0,-0.1},894,{2.782768507188473,0.9519460681947263},2.8e-16,9.5e-17},
    152. 

  152. {{0.0825,-0.055},0,{8.364112570866324,5.612760190811083},8.4e-16,5.6e-16},
    153. 

  153. {{0.0825,-0.055},1,{16.76671785515561,11.19981665590469},1.7e-15,1.1e-15},
    154. 

  154. {{0.0825,-0.055},2,{25.16303988551859,16.79107609547535},2.5e-15,1.7e-15},
    155. 

  155. {{0.0825,-0.055},3,{33.5572671100165,22.38373456245854},3.4e-15,2.2e-15},
    156. 

  156. {{0.0825,-0.055},4,{41.9505420771047,27.97702858021583},4.2e-15,2.8e-15},
    157. 

  157. {{0.0825,-0.055},5,{50.34330426967278,33.57066471305037},5.0e-15,3.4e-15},
    158. 

  158. {{0.084,-0.056},0,{8.213762653916097,5.513194605419383},8.2e-16,5.5e-16},
    159. 

  159. {{0.084,-0.056},1,{16.46671761508664,11.00021675978316},1.6e-15,1.1e-15},
    160. 

  160. {{0.084,-0.056},2,{24.71327517387998,16.49151877341778},2.5e-15,1.6e-15},
    161. 

  161. {{0.084,-0.056},3,{32.95769985563415,21.9842453336088},3.3e-15,2.2e-15},
    162. 

  162. {{0.084,-0.056},4,{41.20115497083352,27.47761902358751},4.1e-15,2.7e-15},
    163. 

  163. {{0.084,-0.056},5,{49.44408799006069,32.97134105768819},4.9e-15,3.3e-15},
    164. 

  164. {{150.0,-100.0},0,{0.0,1.0},0.0,1.0e-16},
    165. 

  165. {{150.0,-100.0},1,{2.843446142415215e-5,0.9999879975137707},2.8e-21,1.0e-16},
    166. 

  166. {{150.0,-100.0},2,{8.530546307582867e-5,0.9999639945278075},8.5e-21,1.0e-16},
    167. 

  167. {{150.0,-100.0},3,{0.0001706171621018294,0.9999279950163633},1.7e-20,1.0e-16},
    168. 

  168. {{150.0,-100.0},4,{0.0002843757930710271,0.9998800049439736},2.8e-20,1.0e-16},
    169. 

  169. {{150.0,-100.0},5,{0.0004265896665886721,0.9998200322692436},4.3e-20,1.0e-16},
    170. 

  170. {{150.0,-100.0},6,{0.0005972691674419548,0.9997480869498983},6.0e-20,1.0e-16},
    171. 

  171. {{150.0,-100.0},7,{0.0007964267522709527,0.9996641809490963},8.0e-20,1.0e-16},
    172. 

  172. {{150.0,-100.0},8,{0.00102407694675761,0.9995683282430072},1.0e-19,1.0e-16},
    173. 

  173. {{150.0,-100.0},9,{0.00128023634232391,0.9994605448296522},1.3e-19,1.0e-16},
    174. 

  174. {{150.0,-100.0},10,{0.001564923592328917,0.9993408487390114},1.6e-19,1.0e-16},
    175. 

  175. {{150.0,-100.0},11,{0.001878159407752843,0.9992092600443944},1.9e-19,1.0e-16},
    176. 

  176. {{150.0,-100.0},13,{0.002590369837289386,0.9989104954302121},2.6e-19,1.0e-16},
    177. 

  177. {{150.0,-100.0},14,{0.00298939611516564,0.9987433699939862},3.0e-19,1.0e-16},
    178. 

  178. {{150.0,-100.0},16,{0.003873435227757143,0.9983737748093285},3.9e-19,1.0e-16},
    179. 

  179. {{150.0,-100.0},18,{0.004872339277414041,0.9979572679518337},4.9e-19,1.0e-16},
    180. 

  180. {{150.0,-100.0},20,{0.005986395833822033,0.9974941365968234},6.0e-19,1.0e-16},
    181. 

  181. {{150.0,-100.0},23,{0.007874099052632083,0.9967127337760088},7.9e-19,1.0e-16},
    182. 

  182. {{150.0,-100.0},25,{0.009277503354313094,0.9961345308813246},9.3e-19,1.0e-16},
    183. 

  183. {{150.0,-100.0},28,{0.01160100676383971,0.9951823607169391},1.2e-18,1.0e-16},
    184. 

  184. {{150.0,-100.0},32,{0.01510901086355875,0.9937568640084211},1.5e-18,9.9e-17},
    185. 

  185. {{150.0,-100.0},36,{0.01908918342782489,0.9921571004610474},1.9e-18,9.9e-17},
    186. 

  186. {{150.0,-100.0},40,{0.02354587104484002,0.9903880144943982},2.4e-18,9.9e-17},
    187. 

  187. {{150.0,-100.0},45,{0.02979413543062971,0.9879472558178808},3.0e-18,9.9e-17},
    188. 

  188. {{150.0,-100.0},50,{0.03680460257368647,0.9852636279950512},3.7e-18,9.9e-17},
    189. 

  189. {{150.0,-100.0},56,{0.04623879299306301,0.9817437270787975},4.6e-18,9.8e-17},
    190. 

  190. {{150.0,-100.0},63,{0.0586796236633904,0.9772624595377325},5.9e-18,9.8e-17},
    191. 

  191. {{150.0,-100.0},70,{0.07269699196001319,0.9724315577932775},7.3e-18,9.7e-17},
    192. 

  192. {{150.0,-100.0},79,{0.09308980557940935,0.9658151551886195},9.3e-18,9.7e-17},
    193. 

  193. {{150.0,-100.0},88,{0.1162106157597911,0.9589010850023701},1.2e-17,9.6e-17},
    194. 

  194. {{150.0,-100.0},99,{0.1482499511213339,0.9503432706265742},1.5e-17,9.5e-17},
    195. 

  195. {{150.0,-100.0},110,{0.1844891775002465,0.942077521625097},1.8e-17,9.4e-17},
    196. 

  196. {{150.0,-100.0},124,{0.2366138163715955,0.9327620274359084},2.4e-17,9.3e-17},
    197. 

  197. {{150.0,-100.0},138,{0.2951156237977729,0.9257996281241172},3.0e-17,9.3e-17},
    198. 

  198. {{150.0,-100.0},155,{0.3736901981577194,0.9219460879367076},3.7e-17,9.2e-17},
    199. 

  199. {{150.0,-100.0},173,{0.4639503501955034,0.9246903001742347},4.6e-17,9.2e-17},
    200. 

  200. {{150.0,-100.0},194,{0.5752057635148606,0.937452947416621},5.8e-17,9.4e-17},
    201. 

  201. {{150.0,-100.0},217,{0.7005909220583895,0.9624716963512773},7.0e-17,9.6e-17},
    202. 

  202. {{150.0,-100.0},243,{0.8431829764609697,1.002201013120766},8.4e-17,1.0e-16},
    203. 

  203. {{15000.0,-10000.0},0,{0.0,1.0},0.0,1.0e-16},
    204. 

  204. {{15000.0,-10000.0},1,{2.84026945162933e-9,0.9999999988164005},2.8e-25,1.0e-16},
    205. 

  205. {{15000.0,-10000.0},2,{8.520808375061527e-9,0.9999999964492016},8.5e-25,1.0e-16},
    206. 

  206. {{15000.0,-10000.0},3,{1.704161681064366e-8,0.9999999928984033},1.7e-24,1.0e-16},
    207. 

  207. {{15000.0,-10000.0},4,{2.840269481889634e-8,0.9999999881640057},2.8e-24,1.0e-16},
    208. 

  208. {{15000.0,-10000.0},6,{5.96456598963634e-8,0.9999999751444127},6.0e-24,1.0e-16},
    209. 

  209. {{15000.0,-10000.0},7,{7.952754718748665e-8,0.9999999668592176},8.0e-24,1.0e-16},
    210. 

  210. {{15000.0,-10000.0},9,{1.278121319805862e-7,0.9999999467380309},1.3e-23,1.0e-16},
    211. 

  211. {{15000.0,-10000.0},11,{1.874577982316124e-7,0.9999999218824499},1.9e-23,1.0e-16},
    212. 

  212. {{15000.0,-10000.0},13,{2.584645476351414e-7,0.9999998922924764},2.6e-23,1.0e-16},
    213. 

  213. {{15000.0,-10000.0},16,{3.862767071525949e-7,0.9999998390305346},3.9e-23,1.0e-16},
    214. 

  214. {{15000.0,-10000.0},20,{5.964567324115234e-7,0.9999997514442596},6.0e-23,1.0e-16},
    215. 

  215. {{15000.0,-10000.0},24,{8.520811370830121e-7,0.9999996449204608},8.5e-23,1.0e-16},
    216. 

  216. {{15000.0,-10000.0},30,{1.320726020447437e-6,0.99999944962697},1.3e-22,1.0e-16},
    217. 

  217. {{15000.0,-10000.0},36,{1.891620943893063e-6,0.9999992117242355},1.9e-22,1.0e-16},
    218. 

  218. {{15000.0,-10000.0},44,{2.811870049126164e-6,0.9999988282397975},2.8e-22,1.0e-16},
    219. 

  219. {{15000.0,-10000.0},54,{4.217807545189578e-6,0.9999982423621463},4.2e-22,1.0e-16},
    220. 

  220. {{15000.0,-10000.0},67,{6.470151250788692e-6,0.9999973037777175},6.5e-22,1.0e-16},
    221. 

  221. {{15000.0,-10000.0},82,{9.665475868536043e-6,0.9999959722496228},9.7e-22,1.0e-16},
    222. 

  222. {{15000.0,-10000.0},100,{1.434344645897526e-5,0.9999940229077095},1.4e-21,1.0e-16},
    223. 

  223. {{15000.0,-10000.0},122,{2.131073094626111e-5,0.9999911196408604},2.1e-21,1.0e-16},
    224. 

  224. {{15000.0,-10000.0},149,{3.174043095735599e-5,0.9999867736922388},3.2e-21,1.0e-16},
    225. 

  225. {{15000.0,-10000.0},182,{4.729993952558016e-5,0.999980290442509},4.7e-21,1.0e-16},
    226. 

  226. {{15000.0,-10000.0},223,{7.094066703164427e-5,0.9999704404991336},7.1e-21,1.0e-16},
    227. 

  227. {{15000.0,-10000.0},272,{0.0001054581586252006,0.9999560599143091},1.1e-20,1.0e-16},
    228. 

  228. {{15000.0,-10000.0},333,{0.0001579606214003589,0.999934189160139},1.6e-20,1.0e-16},
    229. 

  229. {{15000.0,-10000.0},407,{0.0002358450668200512,0.9999017510880184},2.4e-20,1.0e-16},
    230. 

  230. {{15000.0,-10000.0},497,{0.0003515433469161231,0.9998535770854752},3.5e-20,1.0e-16},
    231. 

  231. {{15000.0,-10000.0},608,{0.0005259513321601364,0.9997809874552286},5.3e-20,1.0e-16},
    232. 

  232. {{15000.0,-10000.0},742,{0.0007831841585954275,0.9996739907967603},7.8e-20,1.0e-16},
    233. 

  233. {{15000.0,-10000.0},907,{0.0011701301961291,0.9995131858706238},1.2e-19,1.0e-16},
    234. 

  234. {{15000.0,-10000.0},1108,{0.001746289656337749,0.9992740743002811},1.7e-19,1.0e-16},
    235. 

  235. {{15000.0,-10000.0},1354,{0.0026083036501201,0.9989170579410502},2.6e-19,1.0e-16},
    236. 

  236. {{15000.0,-10000.0},1655,{0.003898434272384769,0.9983843598666412},3.9e-19,1.0e-16},
    237. 

  237. {{15000.0,-10000.0},2022,{0.005823086211357998,0.9975932972803287},5.8e-19,1.0e-16},
    238. 

  238. {{15000.0,-10000.0},2471,{0.008705827478245269,0.9964165769276073},8.7e-19,1.0e-16},
    239. 

  239. {{15000.0,-10000.0},3019,{0.01301723709079792,0.9946748807501365},1.3e-18,9.9e-17},
    240. 

  240. {{15000.0,-10000.0},3688,{0.01947471605308964,0.9921070242409564},1.9e-18,9.9e-17},
    241. 

  241. {{15000.0,-10000.0},4506,{0.02918119661762942,0.9883391854624398},2.9e-18,9.9e-17},
    242. 

  242. {{15000.0,-10000.0},5506,{0.0438113434957399,0.9828686787236778},4.4e-18,9.8e-17},
    243. 

  243. {{15000.0,-10000.0},6727,{0.06591734046001419,0.9750775397377561},6.6e-18,9.8e-17},
    244. 

  244. {{15000.0,-10000.0},8219,{0.09949401019510352,0.9643312731804727},9.9e-18,9.6e-17},
    245. 

  245. {{15000.0,-10000.0},10042,{0.1506925762625648,0.9504421084014469},1.5e-17,9.5e-17},
    246. 

  246. {{15000.0,-10000.0},12270,{0.2287073285360497,0.9349327103661624},2.3e-17,9.3e-17},
    247. 

  247. {{15000.0,-10000.0},14991,{0.345508860352488,0.9237817578495397},3.5e-17,9.2e-17},
    248. 

  248. {{15000.0,-10000.0},18316,{0.5122082784326123,0.9302050482741219},5.1e-17,9.3e-17},
    249. 

  249. {{10.0,-10.0},0,{3.763440827581664e-9,1.00000000168224},3.8e-25,1.0e-16},
    250. 

  250. {{10.0,-10.0},1,{0.00524861445388175,0.9997237554940462},5.2e-19,1.0e-16},
    251. 

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    252. 

  252. {{10.0,-10.0},3,{0.03157952570263392,0.9987938655853439},3.2e-18,1.0e-16},
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  253. {{10.0,-10.0},4,{0.05271773636820009,0.99860354495326},5.3e-18,1.0e-16},
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  254. {{10.0,-10.0},5,{0.07917268803912817,0.9990724540133699},7.9e-18,1.0e-16},
    255. 

  255. {{10.0,-10.0},6,{0.1108667377140472,1.000679775774836},1.1e-17,1.0e-16},
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  256. {{10.0,-10.0},7,{0.1476045440926644,1.003978154605613},1.5e-17,1.0e-16},
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  257. {{10.0,-10.0},8,{0.1890304166330258,1.009540052001588},1.9e-17,1.0e-16},
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  258. {{10.0,-10.0},9,{0.2346177787290138,1.017876304084724},2.3e-17,1.0e-16},
    259. 

  259. {{10.0,-10.0},10,{0.2837086054953954,1.029356842932269},2.8e-17,1.0e-16},
    260. 

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    261. 

  261. {{10.0,-10.0},12,{0.389568569853509,1.062315901520499},3.9e-17,1.1e-16},
    262. 

  262. {{10.0,-10.0},13,{0.4450367874017054,1.083665863377854},4.5e-17,1.1e-16},
    263. 

  263. {{10.0,-10.0},14,{0.5014906816686147,1.107990082275574},5.0e-17,1.1e-16},
    264. 

  264. {{10.0,-10.0},15,{0.5585375791689108,1.13501372412399},5.6e-17,1.1e-16},
    265. 

  265. {{10.0,-10.0},16,{0.615883859867129,1.164448642519627},6.2e-17,1.2e-16},
    266. 

  266. {{10.0,-10.0},17,{0.6733177540742275,1.196015279522511},6.7e-17,1.2e-16},
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  267. {{10.0,-10.0},19,{0.7879057756538716,1.26453490151046},7.9e-17,1.3e-16},
    268. 

  268. {{10.0,-10.0},20,{0.8448964063603984,1.301050349947725},8.4e-17,1.3e-16},
    269. 

  269. {{10.0,-10.0},22,{0.9580702796841977,1.377696920039852},9.6e-17,1.4e-16},
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  270. {{10.0,-10.0},24,{1.070087805194099,1.458237543321057},1.1e-16,1.5e-16},
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  271. {{10.0,-10.0},26,{1.180967956072215,1.541813212472598},1.2e-16,1.5e-16},
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  272. {{10.0,-10.0},28,{1.29079198278489,1.627785279315493},1.3e-16,1.6e-16},
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  273. {{10.0,-10.0},30,{1.399662665359066,1.71567491366465},1.4e-16,1.7e-16},
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  274. {{10.0,-10.0},32,{1.507684917208068,1.805118928595872},1.5e-16,1.8e-16},
    275. 

  275. {{10.0,-10.0},35,{1.668340174363364,1.941606477923184},1.7e-16,1.9e-16},
    276. 

  276. {{10.0,-10.0},38,{1.827595975789261,2.080280791488186},1.8e-16,2.1e-16},
    277. 

  277. {{10.0,-10.0},41,{1.985691334703905,2.220650533305739},2.0e-16,2.2e-16},
    278. 

  278. {{1000.0,-1000.0},0,{0.0,1.0},0.0,1.0e-16},
    279. 

  279. {{1000.0,-1000.0},1,{5.002499998748749e-7,0.9999999997497499},5.0e-23,1.0e-16},
    280. 

  280. {{1000.0,-1000.0},2,{1.500750001128378e-6,0.9999999992500011},1.5e-22,1.0e-16},
    281. 

  281. {{1000.0,-1000.0},3,{3.00150000676237e-6,0.9999999985022568},3.0e-22,1.0e-16},
    282. 

  282. {{1000.0,-1000.0},4,{5.00250002126552e-6,0.9999999975087713},5.0e-22,1.0e-16},
    283. 

  283. {{1000.0,-1000.0},5,{7.503750050596369e-6,0.9999999962725506},7.5e-22,1.0e-16},
    284. 

  284. {{1000.0,-1000.0},6,{1.050525010216073e-5,0.9999999947973524},1.1e-21,1.0e-16},
    285. 

  285. {{1000.0,-1000.0},7,{1.400700018478347e-5,0.9999999930876855},1.4e-21,1.0e-16},
    286. 

  286. {{1000.0,-1000.0},8,{1.80090003086746e-5,0.9999999911488105},1.8e-21,1.0e-16},
    287. 

  287. {{1000.0,-1000.0},9,{2.251125048538976e-5,0.9999999889867394},2.3e-21,1.0e-16},
    288. 

  288. {{1000.0,-1000.0},10,{2.751375072778502e-5,0.9999999866082357},2.8e-21,1.0e-16},
    289. 

  289. {{1000.0,-1000.0},12,{3.901950146723182e-5,0.9999999812327419},3.9e-21,1.0e-16},
    290. 

  290. {{1000.0,-1000.0},14,{5.252625265379987e-5,0.9999999750914671},5.3e-21,1.0e-16},
    291. 

  291. {{1000.0,-1000.0},17,{7.653825559050745e-5,0.9999999646245457},7.7e-21,1.0e-16},
    292. 

  292. {{1000.0,-1000.0},19,{9.50475085548141e-5,0.9999999569502054},9.5e-21,1.0e-16},
    293. 

  293. {{1000.0,-1000.0},23,{0.0001380690176877228,0.9999999404374454},1.4e-20,1.0e-16},
    294. 

  294. {{1000.0,-1000.0},26,{0.0001755877780627563,0.9999999275491787},1.8e-20,1.0e-16},
    295. 

  295. {{1000.0,-1000.0},31,{0.0002481240538761745,0.9999999066273459},2.5e-20,1.0e-16},
    296. 

  296. {{1000.0,-1000.0},36,{0.0003331665924905277,0.9999998888054551},3.3e-20,1.0e-16},
    297. 

  297. {{1000.0,-1000.0},42,{0.0004517259080236875,0.9999998760411714},4.5e-20,1.0e-16},
    298. 

  298. {{1000.0,-1000.0},49,{0.0006128065106595112,0.9999998812438183},6.1e-20,1.0e-16},
    299. 

  299. {{1000.0,-1000.0},57,{0.0008269136514533391,0.9999999283645704},8.3e-20,1.0e-16},
    300. 

  300. {{1000.0,-1000.0},66,{0.001106053297345146,1.000000058709072},1.1e-19,1.0e-16},
    301. 

  301. {{1000.0,-1000.0},76,{0.001463732074818832,1.000000339729926},1.5e-19,1.0e-16},
    302. 

  302. {{1000.0,-1000.0},89,{0.002003501241446182,1.00000100626577},2.0e-19,1.0e-16},
    303. 

  303. {{1000.0,-1000.0},103,{0.002679336553435393,1.000002252009418},2.7e-19,1.0e-16},
    304. 

  304. {{1000.0,-1000.0},120,{0.003631804208493562,1.000004783888611},3.6e-19,1.0e-16},
    305. 

  305. {{1000.0,-1000.0},140,{0.004937431601678478,1.000009730130343},4.9e-19,1.0e-16},
    306. 

  306. {{1000.0,-1000.0},162,{0.006604700059646334,1.000018527158795},6.6e-19,1.0e-16},
    307. 

  307. {{1000.0,-1000.0},188,{0.008887168831051061,1.000035082076778},8.9e-19,1.0e-16},
    308. 

  308. {{1000.0,-1000.0},219,{0.01205029096912418,1.000066644828964},1.2e-18,1.0e-16},
    309. 

  309. {{1000.0,-1000.0},254,{0.01619872875543901,1.00012321763168},1.6e-18,1.0e-16},
    310. 

  310. {{1000.0,-1000.0},296,{0.02198414801697587,1.000230868479618},2.2e-18,1.0e-16},
    311. 

  311. {{1000.0,-1000.0},343,{0.0295007538861353,1.000420741081373},3.0e-18,1.0e-16},
    312. 

  312. {{1000.0,-1000.0},399,{0.03988973871930298,1.000776155171264},4.0e-18,1.0e-16},
    313. 

  313. {{1000.0,-1000.0},464,{0.05389147263032123,1.001425680692332},5.4e-18,1.0e-16},
    314. 

  314. {{1000.0,-1000.0},539,{0.07261495734101143,1.002599550120942},7.3e-18,1.0e-16},
    315. 

  315. {{1000.0,-1000.0},626,{0.09771742312686885,1.004719471621162},9.8e-18,1.0e-16},
    316. 

  316. {{1000.0,-1000.0},727,{0.1312681162339697,1.008523139202996},1.3e-17,1.0e-16},
    317. 

  317. {{1000.0,-1000.0},844,{0.1757152277012519,1.015251014995986},1.8e-17,1.0e-16},
    318. 

  318. {{1000.0,-1000.0},981,{0.2346210439458071,1.027070994847392},2.3e-17,1.0e-16},
    319. 

  319. {{1000.0,-1000.0},1139,{0.310242150570885,1.046923754788218},3.1e-17,1.0e-16},
    320. 

  320. {{1000.0,-1000.0},1324,{0.4065485659742559,1.079379293699889},4.1e-17,1.1e-16},
    321. 

  321. {{1000.0,-1000.0},1537,{0.5238285464936798,1.128789284742771},5.2e-17,1.1e-16},
    322. 

  322. {{100000.0,-100000.0},0,{0.0,1.0},0.0,1.0e-16},
    323. 

  323. {{100000.0,-100000.0},1,{5.000024999999999e-11,0.9999999999999997},5.0e-27,1.0e-16},
    324. 

  324. {{100000.0,-100000.0},2,{1.500007500000001e-10,0.9999999999999992},1.5e-26,1.0e-16},
    325. 

  325. {{100000.0,-100000.0},3,{3.000015000000007e-10,0.9999999999999985},3.0e-26,1.0e-16},
    326. 

  326. {{100000.0,-100000.0},4,{5.000025000000021e-10,0.9999999999999975},5.0e-26,1.0e-16},
    327. 

  327. {{100000.0,-100000.0},5,{7.500037500000051e-10,0.9999999999999963},7.5e-26,1.0e-16},
    328. 

  328. {{100000.0,-100000.0},6,{1.05000525000001e-9,0.9999999999999948},1.1e-25,1.0e-16},
    329. 

  329. {{100000.0,-100000.0},8,{1.800009000000031e-9,0.999999999999991},1.8e-25,1.0e-16},
    330. 

  330. {{100000.0,-100000.0},11,{3.300016500000106e-9,0.9999999999999835},3.3e-25,1.0e-16},
    331. 

  331. {{100000.0,-100000.0},14,{5.250026250000272e-9,0.9999999999999738},5.3e-25,1.0e-16},
    332. 

  332. {{100000.0,-100000.0},18,{8.550042750000724e-9,0.9999999999999573},8.6e-25,1.0e-16},
    333. 

  333. {{100000.0,-100000.0},23,{1.380006900000189e-8,0.9999999999999311},1.4e-24,1.0e-16},
    334. 

  334. {{100000.0,-100000.0},29,{2.175010875000471e-8,0.9999999999998915},2.2e-24,1.0e-16},
    335. 

  335. {{100000.0,-100000.0},37,{3.515017575001231e-8,0.9999999999998249},3.5e-24,1.0e-16},
    336. 

  336. {{100000.0,-100000.0},48,{5.880029400003443e-8,0.9999999999997077},5.9e-24,1.0e-16},
    337. 

  337. {{100000.0,-100000.0},61,{9.455047275008891e-8,0.9999999999995317},9.5e-24,1.0e-16},
    338. 

  338. {{100000.0,-100000.0},78,{1.540507702502354e-7,0.9999999999992416},1.5e-23,1.0e-16},
    339. 

  339. {{100000.0,-100000.0},99,{2.475012375006048e-7,0.9999999999987931},2.5e-23,1.0e-16},
    340. 

  340. {{100000.0,-100000.0},126,{4.000520002515681e-7,0.9999999999980797},4.0e-23,1.0e-16},
    341. 

  341. {{100000.0,-100000.0},161,{6.520532602541127e-7,0.9999999999969523},6.5e-23,1.0e-16},
    342. 

  342. {{100000.0,-100000.0},205,{1.055755278760557e-6,0.9999999999952785},1.1e-22,1.0e-16},
    343. 

  343. {{100000.0,-100000.0},262,{1.722658613277119e-6,0.9999999999928704},1.7e-22,1.0e-16},
    344. 

  344. {{100000.0,-100000.0},333,{2.780563902816566e-6,0.9999999999899628},2.8e-22,1.0e-16},
    345. 

  345. {{100000.0,-100000.0},425,{4.526272631408507e-6,0.9999999999876121},4.5e-22,1.0e-16},
    346. 

  346. {{100000.0,-100000.0},541,{7.330586653090414e-6,0.9999999999902157},7.3e-22,1.0e-16},
    347. 

  347. {{100000.0,-100000.0},690,{1.191980959932403e-5,1.000000000011442},1.2e-21,1.0e-16},
    348. 

  348. {{100000.0,-100000.0},879,{1.933809669012375e-5,1.000000000090291},1.9e-21,1.0e-16},
    349. 

  349. {{100000.0,-100000.0},1120,{3.138815693438994e-5,1.000000000335671},3.1e-21,1.0e-16},
    350. 

  350. {{100000.0,-100000.0},1427,{5.094415467934417e-5,1.000000001042943},5.1e-21,1.0e-16},
    351. 

  351. {{100000.0,-100000.0},1818,{8.267396315355681e-5,1.000000003004152},8.3e-21,1.0e-16},
    352. 

  352. {{100000.0,-100000.0},2316,{0.000134154969744219,1.000000008328086},1.3e-20,1.0e-16},
    353. 

  353. {{100000.0,-100000.0},2950,{0.000217637333500487,1.000000022595044},2.2e-20,1.0e-16},
    354. 

  354. {{84.0,80.0},0,{0.0,-1.0},0.0,1.0e-16},
    355. 

  355. {{84.0,80.0},1,{7.464603827832747e-5,-0.9999958865315833},7.5e-21,1.0e-16},
    356. 

  356. {{84.0,80.0},2,{0.0002239401908443386,-0.9999876764346225},2.2e-20,1.0e-16},
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    358. 

  358. {{84.0,80.0},4,{0.0007464913899319618,-0.999959117940339},7.5e-20,1.0e-16},
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  359. {{84.0,80.0},5,{0.001119762702465573,-0.9999388874747105},1.1e-19,1.0e-16},
    360. 

  360. {{84.0,80.0},6,{0.001567710528137766,-0.9999147962696951},1.6e-19,1.0e-16},
    361. 

  361. {{84.0,80.0},7,{0.002090346657336598,-0.9998869454940709},2.1e-19,1.0e-16},
    362. 

  362. {{84.0,80.0},8,{0.002687684556560672,-0.9998554532323928},2.7e-19,1.0e-16},
    363. 

  363. {{84.0,80.0},9,{0.003359739234682573,-0.9998204545086559},3.4e-19,1.0e-16},
    364. 

  364. {{84.0,80.0},10,{0.00410652708985093,-0.9997821013123322},4.1e-19,1.0e-16},
    365. 

  365. {{84.0,80.0},11,{0.004928065736938358,-0.9997405626263751},4.9e-19,1.0e-16},
    366. 

  366. {{84.0,80.0},12,{0.005824373815437091,-0.9996960244567319},5.8e-19,1.0e-16},
    367. 

  367. {{84.0,80.0},13,{0.006795470777700833,-0.9996486898628537},6.8e-19,1.0e-16},
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  368. {{84.0,80.0},15,{0.008962111818304153,-0.9995465290931683},9.0e-19,1.0e-16},
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  370. {{84.0,80.0},18,{0.01277349573610558,-0.9993783752137568},1.3e-18,1.0e-16},
    371. 

  371. {{84.0,80.0},20,{0.01568892679451718,-0.9992597000317455},1.6e-18,1.0e-16},
    372. 

  372. {{84.0,80.0},23,{0.02062416630631807,-0.9990784658147149},2.1e-18,1.0e-16},
    373. 

  373. {{84.0,80.0},25,{0.02428918626672789,-0.9989598705074203},2.4e-18,1.0e-16},
    374. 

  374. {{84.0,80.0},28,{0.03034907160909194,-0.9987936805901582},3.0e-18,1.0e-16},
    375. 

  375. {{84.0,80.0},31,{0.03708356599475077,-0.9986526992777642},3.7e-18,1.0e-16},
    376. 

  376. {{84.0,80.0},35,{0.04711100816321858,-0.9985280130478072},4.7e-18,1.0e-16},
    377. 

  377. {{84.0,80.0},39,{0.05833305377061804,-0.9985093029641188},5.8e-18,1.0e-16},
    378. 

  378. {{84.0,80.0},43,{0.07074369287720943,-0.9986370375226942},7.1e-18,1.0e-16},
    379. 

  379. {{84.0,80.0},48,{0.08791390186683296,-0.9990702505691854},8.8e-18,1.0e-16},
    380. 

  380. {{84.0,80.0},53,{0.1068992780339692,-0.9998947567174436},1.1e-17,1.0e-16},
    381. 

  381. {{84.0,80.0},59,{0.1320218388158448,-1.001540513814398},1.3e-17,1.0e-16},
    382. 

  382. {{84.0,80.0},66,{0.1644364461224153,-1.004589519036295},1.6e-17,1.0e-16},
    383. 

  383. {{84.0,80.0},73,{0.2000000618200646,-1.009118521840139},2.0e-17,1.0e-16},
    384. 

  384. {{84.0,80.0},81,{0.2441638492966293,-1.01643259872797},2.4e-17,1.0e-16},
    385. 

  385. {{84.0,80.0},90,{0.2977711191712456,-1.027753417990229},3.0e-17,1.0e-16},
    386. 

  386. {{84.0,80.0},100,{0.3613254954580097,-1.044500526275115},3.6e-17,1.0e-16},
    387. 

  387. {{84.0,80.0},111,{0.43487613036592,-1.06812602751181},4.3e-17,1.1e-16},
    388. 

  388. {{84.0,80.0},124,{0.5250372518628471,-1.102812987335725},5.3e-17,1.1e-16},
    389. 

  389. {{84.0,80.0},137,{0.617126351653233,-1.144114620870596},6.2e-17,1.1e-16},
    390. 

  390. {{84.0,80.0},153,{0.7314192877542589,-1.202616872586204},7.3e-17,1.2e-16},
    391. 

  391. {{84.0,80.0},170,{0.8526912333984337,-1.272209503010182},8.5e-17,1.3e-16},
    392. 

  392. {{3.1415926535897932384626433832795,1.0},0,{-2.677328348838338e-283,-1.313035285499331},2.7e-299,1.3e-16},
    393. 

  393. {{3.1415926535897932384626433832795,1.0},1,{-0.1054547331442826,-0.6835251094909973},1.1e-17,6.8e-17},
    394. 

  394. {{3.1415926535897932384626433832795,1.0},2,{0.3756255262688013,-0.5129750816486718},3.8e-17,5.1e-17},
    395. 

  395. {{3.1415926535897932384626433832795,1.0},3,{0.7838512830605672,-0.520073115070454},7.8e-17,5.2e-17},
    396. 

  396. {{3.1415926535897932384626433832795,1.0},4,{1.14604488551154,-0.572490471112493},1.1e-16,5.7e-17},
    397. 

  397. {{3.1415926535897932384626433832795,1.0},5,{1.484043590726011,-0.6417333043795507},1.5e-16,6.4e-17},
    398. 

  398. {{3.1415926535897932384626433832795,1.0},6,{1.808116243518774,-0.7189125881483774},1.8e-16,7.2e-17},
    399. 

  399. {{3.1415926535897932384626433832795,1.0},7,{2.123479806307516,-0.8004524452918652},2.1e-16,8.0e-17},
    400. 

  400. {{3.1415926535897932384626433832795,1.0},8,{2.433036964942058,-0.8846491060408858},2.4e-16,8.8e-17},
    401. 

  401. {{3.1415926535897932384626433832795,1.0},9,{2.73852738222687,-0.9705885808960818},2.7e-16,9.7e-17},
    402. 

  402. {{3.1415926535897932384626433832795,1.0},10,{3.041056950906089,-1.057735997130319},3.0e-16,1.1e-16},
    403. 

  403. {{3.1415926535897932384626433832795,1.0},11,{3.341362608129527,-1.145756923251885},3.3e-16,1.1e-16},
    404. 

  404. {{3.1415926535897932384626433832795,1.0},12,{3.639954627908173,-1.234431120418642},3.6e-16,1.2e-16},
    405. 

  405. {{3.1415926535897932384626433832795,1.0},13,{3.937197730209481,-1.323607382355422},3.9e-16,1.3e-16},
    406. 

  406. {{3.1415926535897932384626433832795,1.0},14,{4.23335964545018,-1.413178294145647},4.2e-16,1.4e-16},
    407. 

  407. {{3.1415926535897932384626433832795,1.0},15,{4.52864142199512,-1.503065348967818},4.5e-16,1.5e-16},
    408. 

  408. {{3.1415926535897932384626433832795,1.0},16,{4.823197018743851,-1.593209772181679},4.8e-16,1.6e-16},
    409. 

  409. {{3.1415926535897932384626433832795,1.0},17,{5.117146361162846,-1.683566646816121},5.1e-16,1.7e-16},
    410. 

  410. {{3.1415926535897932384626433832795,1.0},18,{5.410584274041666,-1.77410102931704},5.4e-16,1.8e-16},
    411. 

  411. {{3.1415926535897932384626433832795,1.0},20,{5.996215350401408,-1.955597365867593},6.0e-16,2.0e-16},
    412. 

  412. {{3.1415926535897932384626433832795,-1.0},0,{-2.677328348838338e-283,1.313035285499331},2.7e-299,1.3e-16},
    413. 

  413. {{3.1415926535897932384626433832795,-1.0},1,{-0.1054547331442826,0.6835251094909973},1.1e-17,6.8e-17},
    414. 

  414. {{3.1415926535897932384626433832795,-1.0},2,{0.3756255262688013,0.5129750816486718},3.8e-17,5.1e-17},
    415. 

  415. {{3.1415926535897932384626433832795,-1.0},3,{0.7838512830605672,0.520073115070454},7.8e-17,5.2e-17},
    416. 

  416. {{3.1415926535897932384626433832795,-1.0},4,{1.14604488551154,0.572490471112493},1.1e-16,5.7e-17},
    417. 

  417. {{3.1415926535897932384626433832795,-1.0},5,{1.484043590726011,0.6417333043795507},1.5e-16,6.4e-17},
    418. 

  418. {{3.1415926535897932384626433832795,-1.0},6,{1.808116243518774,0.7189125881483774},1.8e-16,7.2e-17},
    419. 

  419. {{3.1415926535897932384626433832795,-1.0},7,{2.123479806307516,0.8004524452918652},2.1e-16,8.0e-17},
    420. 

  420. {{3.1415926535897932384626433832795,-1.0},8,{2.433036964942058,0.8846491060408858},2.4e-16,8.8e-17},
    421. 

  421. {{3.1415926535897932384626433832795,-1.0},9,{2.73852738222687,0.9705885808960818},2.7e-16,9.7e-17},
    422. 

  422. {{3.1415926535897932384626433832795,-1.0},10,{3.041056950906089,1.057735997130319},3.0e-16,1.1e-16},
    423. 

  423. {{3.1415926535897932384626433832795,-1.0},11,{3.341362608129527,1.145756923251885},3.3e-16,1.1e-16},
    424. 

  424. {{3.1415926535897932384626433832795,-1.0},12,{3.639954627908173,1.234431120418642},3.6e-16,1.2e-16},
    425. 

  425. {{3.1415926535897932384626433832795,-1.0},13,{3.937197730209481,1.323607382355422},3.9e-16,1.3e-16},
    426. 

  426. {{3.1415926535897932384626433832795,-1.0},14,{4.23335964545018,1.413178294145647},4.2e-16,1.4e-16},
    427. 

  427. {{3.1415926535897932384626433832795,-1.0},15,{4.52864142199512,1.503065348967818},4.5e-16,1.5e-16},
    428. 

  428. {{3.1415926535897932384626433832795,-1.0},16,{4.823197018743851,1.593209772181679},4.8e-16,1.6e-16},
    429. 

  429. {{3.1415926535897932384626433832795,-1.0},17,{5.117146361162846,1.683566646816121},5.1e-16,1.7e-16},
    430. 

  430. {{3.1415926535897932384626433832795,-1.0},18,{5.410584274041666,1.77410102931704},5.4e-16,1.8e-16},
    431. 

  431. {{3.1415926535897932384626433832795,-1.0},20,{5.996215350401408,1.955597365867593},6.0e-16,2.0e-16},
    432. 

  432. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},0,{-2.772406603042443e-285,-1.003741873197321},2.8e-301,1.0e-16},
    433. 

  433. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},1,{0.05631023432676338,-0.9842532929662963},5.6e-18,9.8e-17},
    434. 

  434. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},2,{0.1932838439806838,-0.9820447865781992},1.9e-17,9.8e-17},
    435. 

  435. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},3,{0.3699265824204035,-1.027128174680124},3.7e-17,1.0e-16},
    436. 

  436. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},4,{0.5559869776590445,-1.10966762489327},5.6e-17,1.1e-16},
    437. 

  437. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},5,{0.7410609869524249,-1.216012185642558},7.4e-17,1.2e-16},
    438. 

  438. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},6,{0.9226942125877388,-1.337200280531054},9.2e-17,1.3e-16},
    439. 

  439. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},7,{1.100802842322886,-1.467947433294319},1.1e-16,1.5e-16},
    440. 

  440. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},8,{1.275880545379177,-1.605113981437066},1.3e-16,1.6e-16},
    441. 

  441. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},9,{1.448479195149733,-1.746766652042906},1.4e-16,1.7e-16},
    442. 

  442. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},10,{1.619076470209989,-1.891665842771343},1.6e-16,1.9e-16},
    443. 

  443. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},11,{1.78805677376105,-2.03898576446601},1.8e-16,2.0e-16},
    444. 

  444. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},12,{1.955722406219257,-2.188157203986427},2.0e-16,2.2e-16},
    445. 

  445. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},13,{2.122310073438798,-2.338775902756937},2.1e-16,2.3e-16},
    446. 

  446. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},14,{2.288005790801036,-2.490547179941639},2.3e-16,2.5e-16},
    447. 

  447. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},15,{2.452956780753838,-2.643251296520418},2.5e-16,2.6e-16},
    448. 

  448. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},16,{2.617280562926164,-2.796721106255066},2.6e-16,2.8e-16},
    449. 

  449. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},17,{2.781071793755662,-2.950827224606459},2.8e-16,3.0e-16},
    450. 

  450. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},18,{2.94440739842864,-3.105467935915553},2.9e-16,3.1e-16},
    451. 

  451. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},20,{3.269953015162791,-3.416044503953443},3.3e-16,3.4e-16},
    452. 

  452. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},21,{3.432258548223354,-3.571861569112058},3.4e-16,3.6e-16},
    453. 

  453. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},22,{3.594303449441325,-3.72796937979865},3.6e-16,3.7e-16},
    454. 

  454. {{6.2831853071795862319959269370884,-1.0},0,{-1.773439590975416e-16,1.313035285499331},1.8e-32,1.3e-16},
    455. 

  455. {{6.2831853071795862319959269370884,-1.0},1,{-0.06304185943615409,0.7403873087787056},6.3e-18,7.4e-17},
    456. 

  456. {{6.2831853071795862319959269370884,-1.0},2,{0.2949375696085568,1.070592030672524},2.9e-17,1.1e-16},
    457. 

  457. {{6.2831853071795862319959269370884,-1.0},3,{-0.2986322034569661,0.9008011017614757},3.0e-17,9.0e-17},
    458. 

  458. {{6.2831853071795862319959269370884,-1.0},4,{-0.003223801583153805,0.4398947553395593},3.2e-19,4.4e-17},
    459. 

  459. {{6.2831853071795862319959269370884,-1.0},5,{0.3254847904858648,0.3236711082223025},3.3e-17,3.2e-17},
    460. 

  460. {{6.2831853071795862319959269370884,-1.0},6,{0.5915216297442743,0.2927648081692745},5.9e-17,2.9e-17},
    461. 

  461. {{6.2831853071795862319959269370884,-1.0},7,{0.8216613358485906,0.2889872711150469},8.2e-17,2.9e-17},
    462. 

  462. {{6.2831853071795862319959269370884,-1.0},8,{1.031011238016646,0.2965575908077732},1.0e-16,3.0e-17},
    463. 

  463. {{6.2831853071795862319959269370884,-1.0},9,{1.227344826394146,0.3098261586314655},1.2e-16,3.1e-17},
    464. 

  464. {{6.2831853071795862319959269370884,-1.0},10,{1.414970410777237,0.3263361380815797},1.4e-16,3.3e-17},
    465. 

  465. {{6.2831853071795862319959269370884,-1.0},11,{1.596461936103797,0.3448619156356228},1.6e-16,3.4e-17},
    466. 

  466. {{6.2831853071795862319959269370884,-1.0},12,{1.773455192293614,0.36472724630896},1.8e-16,3.6e-17},
    467. 

  467. {{6.2831853071795862319959269370884,-1.0},13,{1.947042664720708,0.3855292662286455},1.9e-16,3.9e-17},
    468. 

  468. {{6.2831853071795862319959269370884,-1.0},14,{2.117983884070411,0.4070131164963634},2.1e-16,4.1e-17},
    469. 

  469. {{6.2831853071795862319959269370884,-1.0},15,{2.28682458641427,0.4290096105470636},2.3e-16,4.3e-17},
    470. 

  470. {{6.2831853071795862319959269370884,-1.0},16,{2.453967796322013,0.4514019204534639},2.5e-16,4.5e-17},
    471. 

  471. {{6.2831853071795862319959269370884,-1.0},18,{2.784310371123592,0.4970627630731119},2.8e-16,5.0e-17},
    472. 

  472. {{6.2831853071795862319959269370884,-1.0},19,{2.947928703075273,0.5202242302820364},2.9e-16,5.2e-17},
    473. 

  473. {{6.2831853071795862319959269370884,-1.0},20,{3.110719695447307,0.5435558939596922},3.1e-16,5.4e-17},
    474. 

  474. {{6.2831853071795862319959269370884,-1.0},22,{3.434270806979098,0.590625695740279},3.4e-16,5.9e-17},
    475. 

  475. {{6.2831853071795862319959269370884,-1.0},23,{3.595206946808026,0.6143246109772049},3.6e-16,6.1e-17},
    476. 

  476. {{6.2831853071795862319959269370884,-1.0},25,{3.915734156142959,0.6619787064788887},3.9e-16,6.6e-17},
    477. 

  477. {{6.2831853071795862319959269370884,-1.0},26,{4.075427821953628,0.6859125175106776},4.1e-16,6.9e-17},
    478. 

  478. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},0,{-1.836418620170526e-18,-1.003741873197321},1.8e-34,1.0e-16},
    479. 

  479. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},1,{0.01415314238170799,-0.9809158089497843},1.4e-18,9.8e-17},
    480. 

  480. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},2,{0.05114736246509357,-0.9580400080884279},5.1e-18,9.6e-17},
    481. 

  481. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},3,{0.09211316557854763,-0.9082339053736075},9.2e-18,9.1e-17},
    482. 

  482. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},4,{0.1846022792219881,-0.8324588456241011},1.8e-17,8.3e-17},
    483. 

  483. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},5,{0.3278509422643821,-0.7787308740926149},3.3e-17,7.8e-17},
    484. 

  484. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},6,{0.490657891841003,-0.7594698540777983},4.9e-17,7.6e-17},
    485. 

  485. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},7,{0.6556002657420997,-0.7661759616695461},6.6e-17,7.7e-17},
    486. 

  486. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},8,{0.8170144707370777,-0.7897178762870168},8.2e-17,7.9e-17},
    487. 

  487. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},9,{0.9738269711673275,-0.8240443504069009},9.7e-17,8.2e-17},
    488. 

  488. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},10,{1.126363788598225,-0.8654702596325609},1.1e-16,8.7e-17},
    489. 

  489. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},11,{1.275267657078007,-0.9117424236160586},1.3e-16,9.1e-17},
    490. 

  490. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},12,{1.421169391490898,-0.9614426612842512},1.4e-16,9.6e-17},
    491. 

  491. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},13,{1.564605168974907,-1.013646817955554},1.6e-16,1.0e-16},
    492. 

  492. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},14,{1.70600982438213,-1.067731854089558},1.7e-16,1.1e-16},
    493. 

  493. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},15,{1.845730814291544,-1.123264438028688},1.8e-16,1.1e-16},
    494. 

  494. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},16,{1.984045299099804,-1.179934666313605},2.0e-16,1.2e-16},
    495. 

  495. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},17,{2.121175274622946,-1.237515369840869},2.1e-16,1.2e-16},
    496. 

  496. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},19,{2.392564196036499,-1.354767638565249},2.4e-16,1.4e-16},
    497. 

  497. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},20,{2.527087793751678,-1.414208223835596},2.5e-16,1.4e-16},
    498. 

  498. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},22,{2.794289611881632,-1.534314595034528},2.8e-16,1.5e-16},
    499. 

  499. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},23,{2.927118403808978,-1.594865107779637},2.9e-16,1.6e-16},
    500. 

  500. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},25,{3.191523552338415,-1.716747727625207},3.2e-16,1.7e-16},
    501. 

  501. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},27,{3.454552595281413,-1.839467692756036},3.5e-16,1.8e-16},
    502. 

  502. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},29,{3.716477216297216,-1.962842613985385},3.7e-16,2.0e-16},
    503. 

  503. {{6.2831853071795862319959269370884,1.0},0,{-1.773439590975416e-16,-1.313035285499331},1.8e-32,1.3e-16},
    504. 

  504. {{6.2831853071795862319959269370884,1.0},1,{-0.06304185943615409,-0.7403873087787056},6.3e-18,7.4e-17},
    505. 

  505. {{6.2831853071795862319959269370884,1.0},2,{0.2949375696085568,-1.070592030672524},2.9e-17,1.1e-16},
    506. 

  506. {{6.2831853071795862319959269370884,1.0},3,{-0.2986322034569661,-0.9008011017614757},3.0e-17,9.0e-17},
    507. 

  507. {{6.2831853071795862319959269370884,1.0},4,{-0.003223801583153805,-0.4398947553395593},3.2e-19,4.4e-17},
    508. 

  508. {{6.2831853071795862319959269370884,1.0},5,{0.3254847904858648,-0.3236711082223025},3.3e-17,3.2e-17},
    509. 

  509. {{6.2831853071795862319959269370884,1.0},6,{0.5915216297442743,-0.2927648081692745},5.9e-17,2.9e-17},
    510. 

  510. {{6.2831853071795862319959269370884,1.0},7,{0.8216613358485906,-0.2889872711150469},8.2e-17,2.9e-17},
    511. 

  511. {{6.2831853071795862319959269370884,1.0},8,{1.031011238016646,-0.2965575908077732},1.0e-16,3.0e-17},
    512. 

  512. {{6.2831853071795862319959269370884,1.0},9,{1.227344826394146,-0.3098261586314655},1.2e-16,3.1e-17},
    513. 

  513. {{6.2831853071795862319959269370884,1.0},10,{1.414970410777237,-0.3263361380815797},1.4e-16,3.3e-17},
    514. 

  514. {{6.2831853071795862319959269370884,1.0},11,{1.596461936103797,-0.3448619156356228},1.6e-16,3.4e-17},
    515. 

  515. {{6.2831853071795862319959269370884,1.0},12,{1.773455192293614,-0.36472724630896},1.8e-16,3.6e-17},
    516. 

  516. {{6.2831853071795862319959269370884,1.0},13,{1.947042664720708,-0.3855292662286455},1.9e-16,3.9e-17},
    517. 

  517. {{6.2831853071795862319959269370884,1.0},14,{2.117983884070411,-0.4070131164963634},2.1e-16,4.1e-17},
    518. 

  518. {{6.2831853071795862319959269370884,1.0},15,{2.28682458641427,-0.4290096105470636},2.3e-16,4.3e-17},
    519. 

  519. {{6.2831853071795862319959269370884,1.0},16,{2.453967796322013,-0.4514019204534639},2.5e-16,4.5e-17},
    520. 

  520. {{6.2831853071795862319959269370884,1.0},18,{2.784310371123592,-0.4970627630731119},2.8e-16,5.0e-17},
    521. 

  521. {{6.2831853071795862319959269370884,1.0},19,{2.947928703075273,-0.5202242302820364},2.9e-16,5.2e-17},
    522. 

  522. {{6.2831853071795862319959269370884,1.0},20,{3.110719695447307,-0.5435558939596922},3.1e-16,5.4e-17},
    523. 

  523. {{6.2831853071795862319959269370884,1.0},22,{3.434270806979098,-0.590625695740279},3.4e-16,5.9e-17},
    524. 

  524. {{6.2831853071795862319959269370884,1.0},23,{3.595206946808026,-0.6143246109772049},3.6e-16,6.1e-17},
    525. 

  525. {{6.2831853071795862319959269370884,1.0},25,{3.915734156142959,-0.6619787064788887},3.9e-16,6.6e-17},
    526. 

  526. {{6.2831853071795862319959269370884,1.0},26,{4.075427821953628,-0.6859125175106776},4.1e-16,6.9e-17},
    527. 

  527. {{3.1415926535897932384626433832795,0.0},0,{-2.704418609247059e+282,0.0},2.7e+266,0.0},
    528. 

  528. {{3.1415926535897932384626433832795,0.0},1,{-0.3183098861837907,0.0},3.2e-17,0.0},
    529. 

  529. {{3.1415926535897932384626433832795,0.0},2,{0.4105777788290164,0.0},4.1e-17,0.0},
    530. 

  530. {{3.1415926535897932384626433832795,0.0},3,{0.8821173642494784,0.0},8.8e-17,0.0},
    531. 

  531. {{3.1415926535897932384626433832795,0.0},4,{1.283506275095942,0.0},1.3e-16,0.0},
    532. 

  532. {{3.1415926535897932384626433832795,0.0},5,{1.654748956488027,0.0},1.7e-16,0.0},
    533. 

  533. {{3.1415926535897932384626433832795,0.0},6,{2.010012841716631,0.0},2.0e-16,0.0},
    534. 

  534. {{3.1415926535897932384626433832795,0.0},7,{2.355698958080709,0.0},2.4e-16,0.0},
    535. 

  535. {{3.1415926535897932384626433832795,0.0},8,{2.695156885492767,0.0},2.7e-16,0.0},
    536. 

  536. {{3.1415926535897932384626433832795,0.0},9,{3.030322020436486,0.0},3.0e-16,0.0},
    537. 

  537. {{3.1415926535897932384626433832795,0.0},10,{3.362395801011574,0.0},3.4e-16,0.0},
    538. 

  538. {{3.1415926535897932384626433832795,0.0},11,{3.692165818289568,0.0},3.7e-16,0.0},
    539. 

  539. {{3.1415926535897932384626433832795,0.0},12,{4.02017100538644,0.0},4.0e-16,0.0},
    540. 

  540. {{3.1415926535897932384626433832795,0.0},13,{4.346793172787544,0.0},4.3e-16,0.0},
    541. 

  541. {{3.1415926535897932384626433832795,0.0},14,{4.672310695202237,0.0},4.7e-16,0.0},
    542. 

  542. {{3.1415926535897932384626433832795,0.0},15,{4.996931497029032,0.0},5.0e-16,0.0},
    543. 

  543. {{3.1415926535897932384626433832795,0.0},16,{5.320814119475183,0.0},5.3e-16,0.0},
    544. 

  544. {{3.1415926535897932384626433832795,0.0},17,{5.644081624955091,0.0},5.6e-16,0.0},
    545. 

  545. {{3.1415926535897932384626433832795,0.0},18,{5.966831036716778,0.0},6.0e-16,0.0},
    546. 

  546. {{3.1415926535897932384626433832795,0.0},20,{6.611070983143532,0.0},6.6e-16,0.0},
    547. 

  547. //{{3.141592653589793,0.0},0,{-4193528956200935.0,0.0},0.42,0.0}, // TODO fails for pi truncated to double precision
    548. 

  548. {{3.141592653589793,0.0},1,{-0.3183098861837905,0.0},3.2e-17,0.0},
    549. 

  549. {{3.141592653589793,0.0},2,{0.4105777788290165,0.0},4.1e-17,0.0},
    550. 

  550. {{3.141592653589793,0.0},3,{0.8821173642494785,0.0},8.8e-17,0.0},
    551. 

  551. {{3.141592653589793,0.0},4,{1.283506275095942,0.0},1.3e-16,0.0},
    552. 

  552. {{3.141592653589793,0.0},5,{1.654748956488027,0.0},1.7e-16,0.0},
    553. 

  553. {{3.141592653589793,0.0},6,{2.010012841716632,0.0},2.0e-16,0.0},
    554. 

  554. {{3.141592653589793,0.0},7,{2.355698958080709,0.0},2.4e-16,0.0},
    555. 

  555. {{3.141592653589793,0.0},8,{2.695156885492767,0.0},2.7e-16,0.0},
    556. 

  556. {{3.141592653589793,0.0},9,{3.030322020436486,0.0},3.0e-16,0.0},
    557. 

  557. {{3.141592653589793,0.0},10,{3.362395801011574,0.0},3.4e-16,0.0},
    558. 

  558. {{3.141592653589793,0.0},11,{3.692165818289568,0.0},3.7e-16,0.0},
    559. 

  559. {{3.141592653589793,0.0},12,{4.02017100538644,0.0},4.0e-16,0.0},
    560. 

  560. {{3.141592653589793,0.0},13,{4.346793172787545,0.0},4.3e-16,0.0},
    561. 

  561. {{3.141592653589793,0.0},14,{4.672310695202237,0.0},4.7e-16,0.0},
    562. 

  562. {{3.141592653589793,0.0},15,{4.996931497029033,0.0},5.0e-16,0.0},
    563. 

  563. {{3.141592653589793,0.0},16,{5.320814119475183,0.0},5.3e-16,0.0},
    564. 

  564. {{3.141592653589793,0.0},17,{5.644081624955091,0.0},5.6e-16,0.0},
    565. 

  565. {{3.141592653589793,0.0},18,{5.966831036716779,0.0},6.0e-16,0.0},
    566. 

  566. {{3.141592653589793,0.0},20,{6.611070983143533,0.0},6.6e-16,0.0},
    567. 

  567. };
    568. 

  568. 

  569. // complex(z), n, complex(f(n,z)), abs_err_real, abs_err_imag
    570. 

  570. std::vector< std::tuple< std::complex<double>, int, std::complex<double>, double, double > >
    571. 

  571. D2_test_16digits
    572. 

  572. = {
    573. 

  573. {{0.07425,0.0},0,{-0.07438674986902373,0.0},7.4e-18,0.0},
    574. 

  574. {{0.07425,0.0},1,{-13.39417131419206,0.0},1.3e-15,0.0},
    575. 

  575. {{0.07425,0.0},2,{-26.91123162027382,0.0},2.7e-15,0.0},
    576. 

  576. {{0.07425,0.0},3,{-40.3891849341013,0.0},4.0e-15,0.0},
    577. 

  577. {{0.07425,0.0},4,{-53.86144505752241,0.0},5.4e-15,0.0},
    578. 

  578. {{0.07575,0.0},0,{-0.07589521939842851,0.0},7.6e-18,0.0},
    579. 

  579. {{0.07575,0.0},1,{-13.12600313416894,0.0},1.3e-15,0.0},
    580. 

  580. {{0.07575,0.0},2,{-26.37734215323807,0.0},2.6e-15,0.0},
    581. 

  581. {{0.07575,0.0},3,{-39.58880458732769,0.0},4.0e-15,0.0},
    582. 

  582. {{0.07575,0.0},4,{-52.79445732439479,0.0},5.3e-15,0.0},
    583. 

  583. {{7.5,0.0},0,{-2.706013866772691,0.0},2.7e-16,0.0},
    584. 

  584. {{7.5,0.0},1,{0.2188602976402436,0.0},2.2e-17,0.0},
    585. 

  585. {{7.5,0.0},2,{20.65104828146692,0.0},2.1e-15,0.0},
    586. 

  586. {{7.5,0.0},3,{-0.4493801597873413,0.0},4.5e-17,0.0},
    587. 

  587. {{7.5,0.0},4,{0.4842572533435941,0.0},4.8e-17,0.0},
    588. 

  588. {{7.5,0.0},5,{4.81550654897139,0.0},4.8e-16,0.0},
    589. 

  589. {{7.5,0.0},6,{-1.049034583259778,0.0},1.0e-16,0.0},
    590. 

  590. {{7.5,0.0},7,{-0.4288861055358842,0.0},4.3e-17,0.0},
    591. 

  591. {{7.5,0.0},8,{-0.3980175767871659,0.0},4.0e-17,0.0},
    592. 

  592. {{7.5,0.0},9,{-0.5742246552691164,0.0},5.7e-17,0.0},
    593. 

  593. {{7.5,0.0},10,{-0.809102874298828,0.0},8.1e-17,0.0},
    594. 

  594. {{7.5,0.0},11,{-1.027254862439886,0.0},1.0e-16,0.0},
    595. 

  595. {{7.5,0.0},12,{-1.219374574466933,0.0},1.2e-16,0.0},
    596. 

  596. {{7.5,0.0},13,{-1.39466116147432,0.0},1.4e-16,0.0},
    597. 

  597. {{7.5,0.0},14,{-1.560043091026306,0.0},1.6e-16,0.0},
    598. 

  598. {{7.5,0.0},16,{-1.873757439540259,0.0},1.9e-16,0.0},
    599. 

  599. {{7.5,0.0},17,{-2.025145514642434,0.0},2.0e-16,0.0},
    600. 

  600. {{7.5,0.0},18,{-2.174018730753354,0.0},2.2e-16,0.0},
    601. 

  601. {{7.5,0.0},19,{-2.320899679256512,0.0},2.3e-16,0.0},
    602. 

  602. {{7.5,0.0},21,{-2.610108605596247,0.0},2.6e-16,0.0},
    603. 

  603. {{7.5,0.0},22,{-2.752939994498599,0.0},2.8e-16,0.0},
    604. 

  604. {{7.5,0.0},24,{-3.035926615655057,0.0},3.0e-16,0.0},
    605. 

  605. {{7.5,0.0},26,{-3.316132176384959,0.0},3.3e-16,0.0},
    606. 

  606. {{7.5,0.0},27,{-3.455410513492717,0.0},3.5e-16,0.0},
    607. 

  607. {{7.5,0.0},30,{-3.870677968225079,0.0},3.9e-16,0.0},
    608. 

  608. {{750.0,0.0},0,{1.117079400838733,0.0},1.1e-16,0.0},
    609. 

  609. {{750.0,0.0},1,{-0.8975946145725433,0.0},9.0e-17,0.0},
    610. 

  610. {{750.0,0.0},2,{1.108121968632076,0.0},1.1e-16,0.0},
    611. 

  611. {{750.0,0.0},3,{-0.9096970410967588,0.0},9.1e-17,0.0},
    612. 

  612. {{750.0,0.0},4,{1.087526562845337,0.0},1.1e-16,0.0},
    613. 

  613. {{750.0,0.0},5,{-0.9318559567267879,0.0},9.3e-17,0.0},
    614. 

  614. {{750.0,0.0},6,{1.055992830861736,0.0},1.1e-16,0.0},
    615. 

  615. {{750.0,0.0},7,{-0.9647538902206642,0.0},9.6e-17,0.0},
    616. 

  616. {{750.0,0.0},9,{-1.009474246275747,0.0},1.0e-16,0.0},
    617. 

  617. {{750.0,0.0},10,{0.9643676731279237,0.0},9.6e-17,0.0},
    618. 

  618. {{750.0,0.0},11,{-1.067629644695052,0.0},1.1e-16,0.0},
    619. 

  619. {{750.0,0.0},13,{-1.141571574212259,0.0},1.1e-16,0.0},
    620. 

  620. {{750.0,0.0},15,{-1.234734314089206,0.0},1.2e-16,0.0},
    621. 

  621. {{750.0,0.0},18,{0.7026309682530627,0.0},7.0e-17,0.0},
    622. 

  622. {{750.0,0.0},20,{0.6275884453721258,0.0},6.3e-17,0.0},
    623. 

  623. {{750.0,0.0},23,{-1.95499529719246,0.0},2.0e-16,0.0},
    624. 

  624. {{750.0,0.0},27,{-2.856016621139734,0.0},2.9e-16,0.0},
    625. 

  625. {{750.0,0.0},31,{-5.515179542724612,0.0},5.5e-16,0.0},
    626. 

  626. {{750.0,0.0},35,{-2046.667830368851,0.0},2.0e-13,0.0},
    627. 

  627. {{750.0,0.0},41,{3.142443680429311,0.0},3.1e-16,0.0},
    628. 

  628. {{750.0,0.0},47,{1.275705385420439,0.0},1.3e-16,0.0},
    629. 

  629. {{750.0,0.0},54,{-2.171423411849925,0.0},2.2e-16,0.0},
    630. 

  630. {{750.0,0.0},62,{5.070303280958446,0.0},5.1e-16,0.0},
    631. 

  631. {{750.0,0.0},71,{-1.547407386670151,0.0},1.5e-16,0.0},
    632. 

  632. {{750.0,0.0},81,{2.057198576589978,0.0},2.1e-16,0.0},
    633. 

  633. {{750.0,0.0},93,{-0.2880574210963995,0.0},2.9e-17,0.0},
    634. 

  634. {{750.0,0.0},107,{1.467167039386753,0.0},1.5e-16,0.0},
    635. 

  635. {{750.0,0.0},123,{-13.25668132285312,0.0},1.3e-15,0.0},
    636. 

  636. {{750.0,0.0},141,{-51.66788150986426,0.0},5.2e-15,0.0},
    637. 

  637. {{750.0,0.0},162,{-2.044123043949385,0.0},2.0e-16,0.0},
    638. 

  638. {{750.0,0.0},186,{-0.5017806375070012,0.0},5.0e-17,0.0},
    639. 

  639. {{750.0,0.0},214,{4.680543422413898,0.0},4.7e-16,0.0},
    640. 

  640. {{750.0,0.0},246,{0.9652329906986826,0.0},9.7e-17,0.0},
    641. 

  641. {{750.0,0.0},282,{0.3764839152874788,0.0},3.8e-17,0.0},
    642. 

  642. {{750.0,0.0},324,{-5.441038845652591,0.0},5.4e-16,0.0},
    643. 

  643. {{750.0,0.0},372,{0.5017189777039316,0.0},5.0e-17,0.0},
    644. 

  644. {{750.0,0.0},427,{-0.5396391858059278,0.0},5.4e-17,0.0},
    645. 

  645. {{750.0,0.0},490,{0.2475300359343486,0.0},2.5e-17,0.0},
    646. 

  646. {{750.0,0.0},562,{0.6550877387674529,0.0},6.6e-17,0.0},
    647. 

  647. {{750.0,0.0},645,{-0.0647479220258492,0.0},6.5e-18,0.0},
    648. 

  648. {{750.0,0.0},740,{0.9500952443721748,0.0},9.5e-17,0.0},
    649. 

  649. {{750.0,0.0},850,{-0.5317183378262854,0.0},5.3e-17,0.0},
    650. 

  650. {{133.0,-0.001},0,{-1.755932485461304,0.004083310122507825},1.8e-16,4.1e-19},
    651. 

  651. {{133.0,-0.001},1,{0.5595479819348692,0.001312980852946314},5.6e-17,1.3e-19},
    652. 

  652. {{133.0,-0.001},2,{-1.85153917185983,0.004427871815312255},1.9e-16,4.4e-19},
    653. 

  653. {{133.0,-0.001},3,{0.5110313502646276,0.001260474562555223},5.1e-17,1.3e-19},
    654. 

  654. {{133.0,-0.001},4,{-2.109252486188721,0.005447837827720917},2.1e-16,5.4e-19},
    655. 

  655. {{133.0,-0.001},5,{0.4282025099144422,0.001181661243690889},4.3e-17,1.2e-19},
    656. 

  656. {{133.0,-0.001},6,{-2.655442472579592,0.00804905444898751},2.7e-16,8.0e-19},
    657. 

  657. {{133.0,-0.001},7,{0.316631280080747,0.001097089303706201},3.2e-17,1.1e-19},
    658. 

  658. {{133.0,-0.001},8,{-3.959004842334986,0.01666990476526257},4.0e-16,1.7e-18},
    659. 

  659. {{133.0,-0.001},9,{0.1806704887948465,0.001027553610539269},1.8e-17,1.0e-19},
    660. 

  660. {{133.0,-0.001},10,{-9.554533249350271,0.09229128245066224},9.6e-16,9.2e-18},
    661. 

  661. {{133.0,-0.001},11,{0.02104786595968763,0.0009929804198924497},2.1e-18,9.9e-20},
    662. 

  662. {{133.0,-0.001},13,{-0.1678332578687873,0.00101787881523943},1.7e-17,1.0e-19},
    663. 

  663. {{133.0,-0.001},14,{3.556396506011055,0.01363625230438085},3.6e-16,1.4e-18},
    664. 

  664. {{133.0,-0.001},16,{1.790016651664875,0.00418879487195259},1.8e-16,4.2e-19},
    665. 

  665. {{133.0,-0.001},18,{1.021038366775945,0.002023186744680601},1.0e-16,2.0e-19},
    666. 

  666. {{133.0,-0.001},20,{0.5479729709732455,0.001276530775240961},5.5e-17,1.3e-19},
    667. 

  667. {{133.0,-0.001},22,{0.1809795706420653,0.001004147964731335},1.8e-17,1.0e-19},
    668. 

  668. {{133.0,-0.001},24,{-0.1724263550949475,0.000995811171991787},1.7e-17,1.0e-19},
    669. 

  669. {{133.0,-0.001},27,{1.021452430742276,0.002000628091838396},1.0e-16,2.0e-19},
    670. 

  670. {{133.0,-0.001},30,{-6.547396546792233,0.04381769113586676},6.5e-16,4.4e-18},
    671. 

  671. {{133.0,-0.001},34,{0.8656406474529488,0.001682061020627086},8.7e-17,1.7e-19},
    672. 

  672. {{133.0,-0.001},38,{-0.3838684285342646,0.001063573921879943},3.8e-17,1.1e-19},
    673. 

  673. {{133.0,-0.001},42,{19.71892539138212,0.3898854651258534},2.0e-15,3.9e-17},
    674. 

  674. {{133.0,-0.001},47,{4.536308169130143,0.02145099010357844},4.5e-16,2.1e-18},
    675. 

  675. {{133.0,-0.001},52,{1.466938589766846,0.002996111386699881},1.5e-16,3.0e-19},
    676. 

  676. {{133.0,-0.001},58,{485.6616787894604,618.8805818920891},4.9e-14,6.2e-14},
    677. 

  677. {{133.0,-0.001},65,{-0.2272687651498732,0.0008091273274344002},2.3e-17,8.1e-20},
    678. 

  678. {{133.0,-0.001},72,{0.622303863806427,0.001090128451858948},6.2e-17,1.1e-19},
    679. 

  679. {{133.0,-0.001},80,{-1.656082363658833,0.003376287990811771},1.7e-16,3.4e-19},
    680. 

  680. {{133.0,-0.001},89,{0.3916329094110811,0.0007005525248592523},3.9e-17,7.0e-20},
    681. 

  681. {{133.0,-0.001},99,{-1.421092555792892,0.002459838815433856},1.4e-16,2.5e-19},
    682. 

  682. {{133.0,-0.001},111,{0.2415850593901129,0.0003555536690688075},2.4e-17,3.6e-20},
    683. 

  683. {{133.0,-0.001},123,{-0.02936353008964981,0.0001386314460729032},2.9e-18,1.4e-20},
    684. 

  684. {{133.0,-0.001},137,{-0.2015744636220535,-2.816755428233205e-5},2.0e-17,2.8e-21},
    685. 

  685. {{133.0,-0.001},153,{-0.5603119660277999,-1.806474698095854e-5},5.6e-17,1.8e-21},
    686. 

  686. {{133.0,-0.001},170,{-0.7923542900597165,-1.556887877560696e-5},7.9e-17,1.6e-21},
    687. 

  687. {{133.0,-0.001},190,{-1.018068108577178,-1.509479127100921e-5},1.0e-16,1.5e-21},
    688. 

  688. {{13300.0,-0.1},0,{4.614747555432858,6.903177205927318},4.6e-16,6.9e-16},
    689. 

  689. {{13300.0,-0.1},1,{-0.06700391181106944,0.1001199654937619},6.7e-18,1.0e-17},
    690. 

  690. {{13300.0,-0.1},2,{4.620439133200172,6.888811904783909},4.6e-16,6.9e-16},
    691. 

  691. {{13300.0,-0.1},3,{-0.06737777840760444,0.1001250179841278},6.7e-18,1.0e-17},
    692. 

  692. {{13300.0,-0.1},4,{4.633500440086391,6.855341200224173},4.6e-16,6.9e-16},
    693. 

  693. {{13300.0,-0.1},5,{-0.06805078507601441,0.1001341840454214},6.8e-18,1.0e-17},
    694. 

  694. {{13300.0,-0.1},6,{4.653411812962385,6.802886700800537},4.7e-16,6.8e-16},
    695. 

  695. {{13300.0,-0.1},8,{4.67937396079206,6.731654983192257},4.7e-16,6.7e-16},
    696. 

  696. {{13300.0,-0.1},10,{4.710331246539195,6.641956515928427},4.7e-16,6.6e-16},
    697. 

  697. {{13300.0,-0.1},12,{4.745003601522665,6.534228448806732},4.7e-16,6.5e-16},
    698. 

  698. {{13300.0,-0.1},15,{-0.07590717256243298,0.1002479325549111},7.6e-18,1.0e-17},
    699. 

  699. {{13300.0,-0.1},18,{4.856045166555225,6.109630111782805},4.9e-16,6.1e-16},
    700. 

  700. {{13300.0,-0.1},22,{4.919273005297511,5.752106274215477},4.9e-16,5.8e-16},
    701. 

  701. {{13300.0,-0.1},27,{-0.09525261713282836,0.1005810209670254},9.5e-18,1.0e-17},
    702. 

  702. {{13300.0,-0.1},32,{4.952248503162073,4.686287618645416},5.0e-16,4.7e-16},
    703. 

  703. {{13300.0,-0.1},40,{4.797687411598633,3.78137609812792},4.8e-16,3.8e-16},
    704. 

  704. {{13300.0,-0.1},48,{4.492316448297681,2.947900994893757},4.5e-16,2.9e-16},
    705. 

  705. {{13300.0,-0.1},59,{-0.2012137580358194,0.1037434227328889},2.0e-17,1.0e-17},
    706. 

  706. {{13300.0,-0.1},71,{-0.2628537776724217,0.1066253638228959},2.6e-17,1.1e-17},
    707. 

  707. {{13300.0,-0.1},87,{-0.3668752907013172,0.1132318830176521},3.7e-17,1.1e-17},
    708. 

  708. {{13300.0,-0.1},105,{-0.521456532121871,0.1271109141308341},5.2e-17,1.3e-17},
    709. 

  709. {{13300.0,-0.1},128,{1.186380086092666,0.243429422789328},1.2e-16,2.4e-17},
    710. 

  710. {{13300.0,-0.1},155,{-1.433857954348046,0.3111242864463406},1.4e-16,3.1e-17},
    711. 

  711. {{13300.0,-0.1},189,{-4.525078832396816,3.018783582231741},4.5e-16,3.0e-16},
    712. 

  712. {{13300.0,-0.1},229,{1.847521018961361,0.4560381399785403},1.8e-16,4.6e-17},
    713. 

  713. {{13300.0,-0.1},279,{0.1365813763007464,0.1015023822518041},1.4e-17,1.0e-17},
    714. 

  714. {{13300.0,-0.1},338,{0.3464203993678584,0.111699197945671},3.5e-17,1.1e-17},
    715. 

  715. {{13300.0,-0.1},411,{-0.1502261435561727,0.1018452715781982},1.5e-17,1.0e-17},
    716. 

  716. {{13300.0,-0.1},499,{-0.02327966666385402,0.09958243666762214},2.3e-18,1.0e-17},
    717. 

  717. {{13300.0,-0.1},606,{0.2404529773197536,0.1052851410218373},2.4e-17,1.1e-17},
    718. 

  718. {{13300.0,-0.1},736,{-0.04406458473931691,0.09955884001348248},4.4e-18,1.0e-17},
    719. 

  719. {{13300.0,-0.1},894,{-0.3202522349091168,0.1095537561774465},3.2e-17,1.1e-17},
    720. 

  720. {{0.0825,-0.055},0,{-0.08243635461047968,0.05531913702894625},8.2e-18,5.5e-18},
    721. 

  721. {{0.0825,-0.055},1,{-8.308927454476161,-5.648450253463678},8.3e-16,5.6e-16},
    722. 

  722. {{0.0825,-0.055},2,{-16.7557368852332,-11.20725067418851},1.7e-15,1.1e-15},
    723. 

  723. {{0.0825,-0.055},3,{-25.15832772040454,-16.79422954904686},2.5e-15,1.7e-15},
    724. 

  724. {{0.0825,-0.055},4,{-33.55464861977138,-22.38548342593486},3.4e-15,2.2e-15},
    725. 

  725. {{0.0825,-0.055},5,{-41.94887562222077,-27.97814077051338},4.2e-15,2.8e-15},
    726. 

  726. {{0.084,-0.056},0,{-0.0839327708281362,0.05633687249618312},8.4e-18,5.6e-18},
    727. 

  727. {{0.084,-0.056},1,{-8.157567495279937,-5.549497143255095},8.2e-16,5.5e-16},
    728. 

  728. {{0.084,-0.056},2,{-16.45553767517591,-11.00778969816477},1.6e-15,1.1e-15},
    729. 

  729. {{0.084,-0.056},3,{-24.70847741417365,-16.49472995881217},2.5e-15,1.6e-15},
    730. 

  730. {{0.084,-0.056},4,{-32.95503377743467,-21.98602610042692},3.3e-15,2.2e-15},
    731. 

  731. {{0.084,-0.056},5,{-41.19945822470811,-27.47875147585194},4.1e-15,2.7e-15},
    732. 

  732. {{150.0,-100.0},0,{0.0,1.0},0.0,1.0e-16},
    733. 

  733. {{150.0,-100.0},1,{2.843446142415215e-5,0.9999879975137707},2.8e-21,1.0e-16},
    734. 

  734. {{150.0,-100.0},2,{8.530546307582867e-5,0.9999639945278075},8.5e-21,1.0e-16},
    735. 

  735. {{150.0,-100.0},3,{0.0001706171621018294,0.9999279950163633},1.7e-20,1.0e-16},
    736. 

  736. {{150.0,-100.0},4,{0.0002843757930710271,0.9998800049439736},2.8e-20,1.0e-16},
    737. 

  737. {{150.0,-100.0},5,{0.0004265896665886721,0.9998200322692436},4.3e-20,1.0e-16},
    738. 

  738. {{150.0,-100.0},6,{0.0005972691674419548,0.9997480869498983},6.0e-20,1.0e-16},
    739. 

  739. {{150.0,-100.0},7,{0.0007964267522709527,0.9996641809490963},8.0e-20,1.0e-16},
    740. 

  740. {{150.0,-100.0},8,{0.00102407694675761,0.9995683282430072},1.0e-19,1.0e-16},
    741. 

  741. {{150.0,-100.0},9,{0.00128023634232391,0.9994605448296522},1.3e-19,1.0e-16},
    742. 

  742. {{150.0,-100.0},10,{0.001564923592328917,0.9993408487390114},1.6e-19,1.0e-16},
    743. 

  743. {{150.0,-100.0},11,{0.001878159407752843,0.9992092600443944},1.9e-19,1.0e-16},
    744. 

  744. {{150.0,-100.0},13,{0.002590369837289386,0.9989104954302121},2.6e-19,1.0e-16},
    745. 

  745. {{150.0,-100.0},14,{0.00298939611516564,0.9987433699939862},3.0e-19,1.0e-16},
    746. 

  746. {{150.0,-100.0},16,{0.003873435227757143,0.9983737748093285},3.9e-19,1.0e-16},
    747. 

  747. {{150.0,-100.0},18,{0.004872339277414041,0.9979572679518337},4.9e-19,1.0e-16},
    748. 

  748. {{150.0,-100.0},20,{0.005986395833822033,0.9974941365968234},6.0e-19,1.0e-16},
    749. 

  749. {{150.0,-100.0},23,{0.007874099052632083,0.9967127337760088},7.9e-19,1.0e-16},
    750. 

  750. {{150.0,-100.0},25,{0.009277503354313094,0.9961345308813246},9.3e-19,1.0e-16},
    751. 

  751. {{150.0,-100.0},28,{0.01160100676383971,0.9951823607169391},1.2e-18,1.0e-16},
    752. 

  752. {{150.0,-100.0},32,{0.01510901086355875,0.9937568640084211},1.5e-18,9.9e-17},
    753. 

  753. {{150.0,-100.0},36,{0.01908918342782489,0.9921571004610474},1.9e-18,9.9e-17},
    754. 

  754. {{150.0,-100.0},40,{0.02354587104484002,0.9903880144943982},2.4e-18,9.9e-17},
    755. 

  755. {{150.0,-100.0},45,{0.02979413543062971,0.9879472558178808},3.0e-18,9.9e-17},
    756. 

  756. {{150.0,-100.0},50,{0.03680460257368647,0.9852636279950512},3.7e-18,9.9e-17},
    757. 

  757. {{150.0,-100.0},56,{0.04623879299306301,0.9817437270787975},4.6e-18,9.8e-17},
    758. 

  758. {{150.0,-100.0},63,{0.0586796236633904,0.9772624595377325},5.9e-18,9.8e-17},
    759. 

  759. {{150.0,-100.0},70,{0.07269699196001319,0.9724315577932775},7.3e-18,9.7e-17},
    760. 

  760. {{150.0,-100.0},79,{0.09308980557940935,0.9658151551886195},9.3e-18,9.7e-17},
    761. 

  761. {{150.0,-100.0},88,{0.1162106157597911,0.9589010850023701},1.2e-17,9.6e-17},
    762. 

  762. {{150.0,-100.0},99,{0.1482499511213339,0.9503432706265742},1.5e-17,9.5e-17},
    763. 

  763. {{150.0,-100.0},110,{0.1844891775002465,0.942077521625097},1.8e-17,9.4e-17},
    764. 

  764. {{150.0,-100.0},124,{0.2366138163715955,0.9327620274359084},2.4e-17,9.3e-17},
    765. 

  765. {{150.0,-100.0},138,{0.2951156237977729,0.9257996281241172},3.0e-17,9.3e-17},
    766. 

  766. {{150.0,-100.0},155,{0.3736901981577194,0.9219460879367076},3.7e-17,9.2e-17},
    767. 

  767. {{150.0,-100.0},173,{0.4639503501955034,0.9246903001742347},4.6e-17,9.2e-17},
    768. 

  768. {{150.0,-100.0},194,{0.5752057635148606,0.937452947416621},5.8e-17,9.4e-17},
    769. 

  769. {{150.0,-100.0},217,{0.7005909220570307,0.9624716963506404},7.0e-17,9.6e-17},
    770. 

  770. {{150.0,-100.0},243,{-0.8372669013633853,-1.002095118774358},8.4e-17,1.0e-16},
    771. 

  771. {{15000.0,-10000.0},0,{0.0,1.0},0.0,1.0e-16},
    772. 

  772. {{15000.0,-10000.0},1,{2.84026945162933e-9,0.9999999988164005},2.8e-25,1.0e-16},
    773. 

  773. {{15000.0,-10000.0},2,{8.520808375061527e-9,0.9999999964492016},8.5e-25,1.0e-16},
    774. 

  774. {{15000.0,-10000.0},3,{1.704161681064366e-8,0.9999999928984033},1.7e-24,1.0e-16},
    775. 

  775. {{15000.0,-10000.0},4,{2.840269481889634e-8,0.9999999881640057},2.8e-24,1.0e-16},
    776. 

  776. {{15000.0,-10000.0},6,{5.96456598963634e-8,0.9999999751444127},6.0e-24,1.0e-16},
    777. 

  777. {{15000.0,-10000.0},7,{7.952754718748665e-8,0.9999999668592176},8.0e-24,1.0e-16},
    778. 

  778. {{15000.0,-10000.0},9,{1.278121319805862e-7,0.9999999467380309},1.3e-23,1.0e-16},
    779. 

  779. {{15000.0,-10000.0},11,{1.874577982316124e-7,0.9999999218824499},1.9e-23,1.0e-16},
    780. 

  780. {{15000.0,-10000.0},13,{2.584645476351414e-7,0.9999998922924764},2.6e-23,1.0e-16},
    781. 

  781. {{15000.0,-10000.0},16,{3.862767071525949e-7,0.9999998390305346},3.9e-23,1.0e-16},
    782. 

  782. {{15000.0,-10000.0},20,{5.964567324115234e-7,0.9999997514442596},6.0e-23,1.0e-16},
    783. 

  783. {{15000.0,-10000.0},24,{8.520811370830121e-7,0.9999996449204608},8.5e-23,1.0e-16},
    784. 

  784. {{15000.0,-10000.0},30,{1.320726020447437e-6,0.99999944962697},1.3e-22,1.0e-16},
    785. 

  785. {{15000.0,-10000.0},36,{1.891620943893063e-6,0.9999992117242355},1.9e-22,1.0e-16},
    786. 

  786. {{15000.0,-10000.0},44,{2.811870049126164e-6,0.9999988282397975},2.8e-22,1.0e-16},
    787. 

  787. {{15000.0,-10000.0},54,{4.217807545189578e-6,0.9999982423621463},4.2e-22,1.0e-16},
    788. 

  788. {{15000.0,-10000.0},67,{6.470151250788692e-6,0.9999973037777175},6.5e-22,1.0e-16},
    789. 

  789. {{15000.0,-10000.0},82,{9.665475868536043e-6,0.9999959722496228},9.7e-22,1.0e-16},
    790. 

  790. {{15000.0,-10000.0},100,{1.434344645897526e-5,0.9999940229077095},1.4e-21,1.0e-16},
    791. 

  791. {{15000.0,-10000.0},122,{2.131073094626111e-5,0.9999911196408604},2.1e-21,1.0e-16},
    792. 

  792. {{15000.0,-10000.0},149,{3.174043095735599e-5,0.9999867736922388},3.2e-21,1.0e-16},
    793. 

  793. {{15000.0,-10000.0},182,{4.729993952558016e-5,0.999980290442509},4.7e-21,1.0e-16},
    794. 

  794. {{15000.0,-10000.0},223,{7.094066703164427e-5,0.9999704404991336},7.1e-21,1.0e-16},
    795. 

  795. {{15000.0,-10000.0},272,{0.0001054581586252006,0.9999560599143091},1.1e-20,1.0e-16},
    796. 

  796. {{15000.0,-10000.0},333,{0.0001579606214003589,0.999934189160139},1.6e-20,1.0e-16},
    797. 

  797. {{15000.0,-10000.0},407,{0.0002358450668200512,0.9999017510880184},2.4e-20,1.0e-16},
    798. 

  798. {{15000.0,-10000.0},497,{0.0003515433469161231,0.9998535770854752},3.5e-20,1.0e-16},
    799. 

  799. {{15000.0,-10000.0},608,{0.0005259513321601364,0.9997809874552286},5.3e-20,1.0e-16},
    800. 

  800. {{15000.0,-10000.0},742,{0.0007831841585954275,0.9996739907967603},7.8e-20,1.0e-16},
    801. 

  801. {{15000.0,-10000.0},907,{0.0011701301961291,0.9995131858706238},1.2e-19,1.0e-16},
    802. 

  802. {{15000.0,-10000.0},1108,{0.001746289656337749,0.9992740743002811},1.7e-19,1.0e-16},
    803. 

  803. {{10.0,-10.0},0,{-3.763440814919645e-9,0.9999999983177604},3.8e-25,1.0e-16},
    804. 

  804. {{10.0,-10.0},1,{0.005248623115179036,0.9997237583181085},5.2e-19,1.0e-16},
    805. 

  805. {{10.0,-10.0},2,{0.01576495447101375,0.9992608587081221},1.6e-18,1.0e-16},
    806. 

  806. {{10.0,-10.0},3,{0.03157954043367911,0.9987938624733678},3.2e-18,1.0e-16},
    807. 

  807. {{10.0,-10.0},4,{0.0527177180309408,0.9986035581496452},5.3e-18,1.0e-16},
    808. 

  808. {{10.0,-10.0},5,{0.07917270380999578,0.9990724197753827},7.9e-18,1.0e-16},
    809. 

  809. {{10.0,-10.0},6,{0.110866750289679,1.000679844773896},1.1e-17,1.0e-16},
    810. 

  810. {{10.0,-10.0},7,{0.1476044311765346,1.003978062143049},1.5e-17,1.0e-16},
    811. 

  811. {{10.0,-10.0},8,{0.1890307553344407,1.009540016125975},1.9e-17,1.0e-16},
    812. 

  812. {{10.0,-10.0},9,{0.2346172797969706,1.017877045314806},2.3e-17,1.0e-16},
    813. 

  813. {{10.0,-10.0},10,{0.2837076891885337,1.029354368502019},2.8e-17,1.0e-16},
    814. 

  814. {{10.0,-10.0},11,{0.3355976511192389,1.044169585691451},3.4e-17,1.0e-16},
    815. 

  815. {{10.0,-10.0},12,{0.3895474401248102,1.062341043348631},3.9e-17,1.1e-16},
    816. 

  816. {{10.0,-10.0},13,{0.4449795008657504,1.083540227244108},4.4e-17,1.1e-16},
    817. 

  817. {{10.0,-10.0},14,{0.502141176316858,1.107970345557783},5.0e-17,1.1e-16},
    818. 

  818. {{10.0,-10.0},15,{0.5574325008950879,1.13826065251242},5.6e-17,1.1e-16},
    819. 

  819. {{10.0,-10.0},16,{0.6000261699184189,1.152338081229276},6.0e-17,1.2e-16},
    820. 

  820. {{10.0,-10.0},17,{0.7743117367306578,1.114570825838322},7.7e-17,1.1e-16},
    821. 

  821. {{10.0,-10.0},19,{-1.018691443441228,-0.3404093423079018},1.0e-16,3.4e-17},
    822. 

  822. {{10.0,-10.0},20,{-0.6562064106383793,-1.22827864085079},6.6e-17,1.2e-16},
    823. 

  823. {{10.0,-10.0},22,{-0.8994841590964667,-1.351364251644257},9.0e-17,1.4e-16},
    824. 

  824. {{10.0,-10.0},24,{-1.010114210057893,-1.428249525616057},1.0e-16,1.4e-16},
    825. 

  825. {{10.0,-10.0},26,{-1.121571868695886,-1.508752994397692},1.1e-16,1.5e-16},
    826. 

  826. {{10.0,-10.0},28,{-1.232057361701878,-1.59226739517027},1.2e-16,1.6e-16},
    827. 

  827. {{10.0,-10.0},30,{-1.341605814952982,-1.678172998408917},1.3e-16,1.7e-16},
    828. 

  828. {{10.0,-10.0},32,{-1.450280946629746,-1.766001175742214},1.5e-16,1.8e-16},
    829. 

  829. {{10.0,-10.0},35,{-1.61183053709236,-1.900583633650779},1.6e-16,1.9e-16},
    830. 

  830. {{10.0,-10.0},38,{-1.771864654785485,-2.037807192748481},1.8e-16,2.0e-16},
    831. 

  831. {{10.0,-10.0},41,{-1.930627357152795,-2.177049750382095},1.9e-16,2.2e-16},
    832. 

  832. {{1000.0,-1000.0},0,{0.0,1.0},0.0,1.0e-16},
    833. 

  833. {{1000.0,-1000.0},1,{5.002499998748749e-7,0.9999999997497499},5.0e-23,1.0e-16},
    834. 

  834. {{1000.0,-1000.0},2,{1.500750001128378e-6,0.9999999992500011},1.5e-22,1.0e-16},
    835. 

  835. {{1000.0,-1000.0},3,{3.00150000676237e-6,0.9999999985022568},3.0e-22,1.0e-16},
    836. 

  836. {{1000.0,-1000.0},4,{5.00250002126552e-6,0.9999999975087713},5.0e-22,1.0e-16},
    837. 

  837. {{1000.0,-1000.0},5,{7.503750050596369e-6,0.9999999962725506},7.5e-22,1.0e-16},
    838. 

  838. {{1000.0,-1000.0},6,{1.050525010216073e-5,0.9999999947973524},1.1e-21,1.0e-16},
    839. 

  839. {{1000.0,-1000.0},7,{1.400700018478347e-5,0.9999999930876855},1.4e-21,1.0e-16},
    840. 

  840. {{1000.0,-1000.0},8,{1.80090003086746e-5,0.9999999911488105},1.8e-21,1.0e-16},
    841. 

  841. {{1000.0,-1000.0},9,{2.251125048538976e-5,0.9999999889867394},2.3e-21,1.0e-16},
    842. 

  842. {{1000.0,-1000.0},10,{2.751375072778502e-5,0.9999999866082357},2.8e-21,1.0e-16},
    843. 

  843. {{1000.0,-1000.0},12,{3.901950146723182e-5,0.9999999812327419},3.9e-21,1.0e-16},
    844. 

  844. {{1000.0,-1000.0},14,{5.252625265379987e-5,0.9999999750914671},5.3e-21,1.0e-16},
    845. 

  845. {{1000.0,-1000.0},17,{7.653825559050745e-5,0.9999999646245457},7.7e-21,1.0e-16},
    846. 

  846. {{1000.0,-1000.0},19,{9.50475085548141e-5,0.9999999569502054},9.5e-21,1.0e-16},
    847. 

  847. {{1000.0,-1000.0},23,{0.0001380690176877228,0.9999999404374454},1.4e-20,1.0e-16},
    848. 

  848. {{1000.0,-1000.0},26,{0.0001755877780627563,0.9999999275491787},1.8e-20,1.0e-16},
    849. 

  849. {{1000.0,-1000.0},31,{0.0002481240538761745,0.9999999066273459},2.5e-20,1.0e-16},
    850. 

  850. {{1000.0,-1000.0},36,{0.0003331665924905277,0.9999998888054551},3.3e-20,1.0e-16},
    851. 

  851. {{1000.0,-1000.0},42,{0.0004517259080236875,0.9999998760411714},4.5e-20,1.0e-16},
    852. 

  852. {{1000.0,-1000.0},49,{0.0006128065106595112,0.9999998812438183},6.1e-20,1.0e-16},
    853. 

  853. {{1000.0,-1000.0},57,{0.0008269136514533391,0.9999999283645704},8.3e-20,1.0e-16},
    854. 

  854. {{1000.0,-1000.0},66,{0.001106053297345146,1.000000058709072},1.1e-19,1.0e-16},
    855. 

  855. {{1000.0,-1000.0},76,{0.001463732074818832,1.000000339729926},1.5e-19,1.0e-16},
    856. 

  856. {{1000.0,-1000.0},89,{0.002003501241446182,1.00000100626577},2.0e-19,1.0e-16},
    857. 

  857. {{1000.0,-1000.0},103,{0.002679336553435393,1.000002252009418},2.7e-19,1.0e-16},
    858. 

  858. {{1000.0,-1000.0},120,{0.003631804208493562,1.000004783888611},3.6e-19,1.0e-16},
    859. 

  859. {{1000.0,-1000.0},140,{0.004937431601678478,1.000009730130343},4.9e-19,1.0e-16},
    860. 

  860. {{1000.0,-1000.0},162,{0.006604700059646334,1.000018527158795},6.6e-19,1.0e-16},
    861. 

  861. {{1000.0,-1000.0},188,{0.008887168831051061,1.000035082076778},8.9e-19,1.0e-16},
    862. 

  862. {{1000.0,-1000.0},219,{0.01205029096912418,1.000066644828964},1.2e-18,1.0e-16},
    863. 

  863. {{1000.0,-1000.0},254,{0.01619872875543901,1.00012321763168},1.6e-18,1.0e-16},
    864. 

  864. {{1000.0,-1000.0},296,{0.02198414801697587,1.000230868479618},2.2e-18,1.0e-16},
    865. 

  865. {{1000.0,-1000.0},343,{0.0295007538861353,1.000420741081373},3.0e-18,1.0e-16},
    866. 

  866. {{1000.0,-1000.0},399,{0.03988973871930298,1.000776155171264},4.0e-18,1.0e-16},
    867. 

  867. {{1000.0,-1000.0},464,{0.05389147263032123,1.001425680692332},5.4e-18,1.0e-16},
    868. 

  868. {{1000.0,-1000.0},539,{0.07261495734101143,1.002599550120942},7.3e-18,1.0e-16},
    869. 

  869. {{1000.0,-1000.0},626,{0.09771742312686885,1.004719471621162},9.8e-18,1.0e-16},
    870. 

  870. {{1000.0,-1000.0},727,{0.1312681162339697,1.008523139202996},1.3e-17,1.0e-16},
    871. 

  871. {{1000.0,-1000.0},844,{0.1757152277012519,1.015251014995986},1.8e-17,1.0e-16},
    872. 

  872. {{1000.0,-1000.0},981,{0.2346210439458071,1.027070994847392},2.3e-17,1.0e-16},
    873. 

  873. {{1000.0,-1000.0},1139,{0.310242150570885,1.046923754788218},3.1e-17,1.0e-16},
    874. 

  874. {{1000.0,-1000.0},1324,{0.4065485659742559,1.079379293699889},4.1e-17,1.1e-16},
    875. 

  875. {{1000.0,-1000.0},1537,{0.5238285464936798,1.128789284742771},5.2e-17,1.1e-16},
    876. 

  876. {{100000.0,-100000.0},0,{0.0,1.0},0.0,1.0e-16},
    877. 

  877. {{100000.0,-100000.0},1,{5.000024999999999e-11,0.9999999999999997},5.0e-27,1.0e-16},
    878. 

  878. {{100000.0,-100000.0},2,{1.500007500000001e-10,0.9999999999999992},1.5e-26,1.0e-16},
    879. 

  879. {{100000.0,-100000.0},3,{3.000015000000007e-10,0.9999999999999985},3.0e-26,1.0e-16},
    880. 

  880. {{100000.0,-100000.0},4,{5.000025000000021e-10,0.9999999999999975},5.0e-26,1.0e-16},
    881. 

  881. {{100000.0,-100000.0},5,{7.500037500000051e-10,0.9999999999999963},7.5e-26,1.0e-16},
    882. 

  882. {{100000.0,-100000.0},6,{1.05000525000001e-9,0.9999999999999948},1.1e-25,1.0e-16},
    883. 

  883. {{100000.0,-100000.0},8,{1.800009000000031e-9,0.999999999999991},1.8e-25,1.0e-16},
    884. 

  884. {{100000.0,-100000.0},11,{3.300016500000106e-9,0.9999999999999835},3.3e-25,1.0e-16},
    885. 

  885. {{100000.0,-100000.0},14,{5.250026250000272e-9,0.9999999999999738},5.3e-25,1.0e-16},
    886. 

  886. {{100000.0,-100000.0},18,{8.550042750000724e-9,0.9999999999999573},8.6e-25,1.0e-16},
    887. 

  887. {{100000.0,-100000.0},23,{1.380006900000189e-8,0.9999999999999311},1.4e-24,1.0e-16},
    888. 

  888. {{100000.0,-100000.0},29,{2.175010875000471e-8,0.9999999999998915},2.2e-24,1.0e-16},
    889. 

  889. {{100000.0,-100000.0},37,{3.515017575001231e-8,0.9999999999998249},3.5e-24,1.0e-16},
    890. 

  890. {{100000.0,-100000.0},48,{5.880029400003443e-8,0.9999999999997077},5.9e-24,1.0e-16},
    891. 

  891. {{100000.0,-100000.0},61,{9.455047275008891e-8,0.9999999999995317},9.5e-24,1.0e-16},
    892. 

  892. {{100000.0,-100000.0},78,{1.540507702502354e-7,0.9999999999992416},1.5e-23,1.0e-16},
    893. 

  893. {{100000.0,-100000.0},99,{2.475012375006048e-7,0.9999999999987931},2.5e-23,1.0e-16},
    894. 

  894. {{100000.0,-100000.0},126,{4.000520002515681e-7,0.9999999999980797},4.0e-23,1.0e-16},
    895. 

  895. {{100000.0,-100000.0},161,{6.520532602541127e-7,0.9999999999969523},6.5e-23,1.0e-16},
    896. 

  896. {{100000.0,-100000.0},205,{1.055755278760557e-6,0.9999999999952785},1.1e-22,1.0e-16},
    897. 

  897. {{100000.0,-100000.0},262,{1.722658613277119e-6,0.9999999999928704},1.7e-22,1.0e-16},
    898. 

  898. {{100000.0,-100000.0},333,{2.780563902816566e-6,0.9999999999899628},2.8e-22,1.0e-16},
    899. 

  899. {{100000.0,-100000.0},425,{4.526272631408507e-6,0.9999999999876121},4.5e-22,1.0e-16},
    900. 

  900. {{100000.0,-100000.0},541,{7.330586653090414e-6,0.9999999999902157},7.3e-22,1.0e-16},
    901. 

  901. {{100000.0,-100000.0},690,{1.191980959932403e-5,1.000000000011442},1.2e-21,1.0e-16},
    902. 

  902. {{100000.0,-100000.0},879,{1.933809669012375e-5,1.000000000090291},1.9e-21,1.0e-16},
    903. 

  903. {{100000.0,-100000.0},1120,{3.138815693438994e-5,1.000000000335671},3.1e-21,1.0e-16},
    904. 

  904. {{100000.0,-100000.0},1427,{5.094415467934417e-5,1.000000001042943},5.1e-21,1.0e-16},
    905. 

  905. {{100000.0,-100000.0},1818,{8.267396315355681e-5,1.000000003004152},8.3e-21,1.0e-16},
    906. 

  906. {{100000.0,-100000.0},2316,{0.000134154969744219,1.000000008328086},1.3e-20,1.0e-16},
    907. 

  907. {{100000.0,-100000.0},2950,{0.000217637333500487,1.000000022595044},2.2e-20,1.0e-16},
    908. 

  908. {{84.0,80.0},0,{0.0,-1.0},0.0,1.0e-16},
    909. 

  909. {{84.0,80.0},1,{7.464603827832747e-5,-0.9999958865315833},7.5e-21,1.0e-16},
    910. 

  910. {{84.0,80.0},30,{0.03476380917941155,-0.9986960671508413},3.5e-18,1.0e-16},
    911. 

  911. {{84.0,80.0},50,{0.09529213151796065,-0.9993476540430365},9.5e-18,1.0e-16},
    912. 

  912. {{84.0,80.0},60,{0.1364513887195382,-1.001895882686499},1.4e-17,1.0e-16},
    913. 

  913. {{84.0,80.0},70,{0.1843883349519242,-1.006979164005027},1.8e-17,1.0e-16},
    914. 

  914. {{84.0,80.0},75,{0.210704426733954,-1.010720990235517},2.1e-17,1.0e-16},
    915. 

  915. {{84.0,80.0},80,{0.2384524295406244,-1.015382913925872},2.4e-17,1.0e-16},
    916. 

  916. {{84.0,80.0},85,{0.267516452413595,-1.02104033737268},2.7e-17,1.0e-16},
    917. 

  917. {{84.0,80.0},90,{0.2977711191712456,-1.027753417990229},3.0e-17,1.0e-16},
    918. 

  918. {{84.0,80.0},99,{0.354809690353045,-1.042622956892672},3.5e-17,1.0e-16},
    919. 

  919. {{84.0,80.0},116,{0.4692294404953319,-1.080629478675675},4.7e-17,1.1e-16},
    920. 

  920. {{84.0,80.0},130,{0.5673827835925116,-1.121108944274722},5.7e-17,1.1e-16},
    921. 

  921. {{3.1415926535897932384626433832795,1.0},0,{1.55291913825039e-283,-0.7615941559557649},1.6e-299,7.6e-17},
    922. 

  922. {{3.1415926535897932384626433832795,1.0},1,{0.2543652937464633,-1.166890950589879},2.5e-17,1.2e-16},
    923. 

  923. {{3.1415926535897932384626433832795,1.0},2,{-0.2757806436241079,-0.7338632391162028},2.8e-17,7.3e-17},
    924. 

  924. {{3.1415926535897932384626433832795,1.0},3,{-0.1130945543248322,-0.02606968277422969},1.1e-17,2.6e-18},
    925. 

  925. {{3.1415926535897932384626433832795,1.0},4,{-0.4215176370891154,0.5658999981749149},4.2e-17,5.7e-17},
    926. 

  926. {{3.1415926535897932384626433832795,1.0},5,{-1.033684932723482,0.6861249725005906},1.0e-16,6.9e-17},
    927. 

  927. {{3.1415926535897932384626433832795,1.0},6,{-1.433100518692877,0.686666255654999},1.4e-16,6.9e-17},
    928. 

  928. {{3.1415926535897932384626433832795,1.0},7,{-1.771199280364419,0.7410093792959839},1.8e-16,7.4e-17},
    929. 

  929. {{3.1415926535897932384626433832795,1.0},8,{-2.095643527009305,0.8143293297913233},2.1e-16,8.1e-17},
    930. 

  930. {{3.1415926535897932384626433832795,1.0},9,{-2.411516874569569,0.8943325939018383},2.4e-16,8.9e-17},
    931. 

  931. {{3.1415926535897932384626433832795,1.0},10,{-2.721411675539054,0.9777768147195448},2.7e-16,9.8e-17},
    932. 

  932. {{3.1415926535897932384626433832795,1.0},11,{-3.027111835298974,1.063309102584322},3.0e-16,1.1e-16},
    933. 

  933. {{3.1415926535897932384626433832795,1.0},12,{-3.329774296649566,1.150219377262664},3.3e-16,1.2e-16},
    934. 

  934. {{3.1415926535897932384626433832795,1.0},13,{-3.630166763485898,1.238094014261345},3.6e-16,1.2e-16},
    935. 

  935. {{3.1415926535897932384626433832795,1.0},14,{-3.928817217085422,1.326673720493936},3.9e-16,1.3e-16},
    936. 

  936. {{3.1415926535897932384626433832795,1.0},15,{-4.226100742557146,1.415786610072522},4.2e-16,1.4e-16},
    937. 

  937. {{3.1415926535897932384626433832795,1.0},16,{-4.522291311689719,1.505313665423152},4.5e-16,1.5e-16},
    938. 

  938. {{3.1415926535897932384626433832795,1.0},17,{-4.817593843830251,1.595169551324783},4.8e-16,1.6e-16},
    939. 

  939. {{3.1415926535897932384626433832795,1.0},18,{-5.112164766973625,1.685291310034281},5.1e-16,1.7e-16},
    940. 

  940. {{3.1415926535897932384626433832795,1.0},20,{-5.699572318128605,1.86615306493475},5.7e-16,1.9e-16},
    941. 

  941. {{3.1415926535897932384626433832795,-1.0},0,{1.55291913825039e-283,0.7615941559557649},1.6e-299,7.6e-17},
    942. 

  942. {{3.1415926535897932384626433832795,-1.0},1,{0.2543652937464633,1.166890950589879},2.5e-17,1.2e-16},
    943. 

  943. {{3.1415926535897932384626433832795,-1.0},2,{-0.2757806436241079,0.7338632391162028},2.8e-17,7.3e-17},
    944. 

  944. {{3.1415926535897932384626433832795,-1.0},3,{-0.1130945543248322,0.02606968277422969},1.1e-17,2.6e-18},
    945. 

  945. {{3.1415926535897932384626433832795,-1.0},4,{-0.4215176370891154,-0.5658999981749149},4.2e-17,5.7e-17},
    946. 

  946. {{3.1415926535897932384626433832795,-1.0},5,{-1.033684932723482,-0.6861249725005906},1.0e-16,6.9e-17},
    947. 

  947. {{3.1415926535897932384626433832795,-1.0},6,{-1.433100518692877,-0.686666255654999},1.4e-16,6.9e-17},
    948. 

  948. {{3.1415926535897932384626433832795,-1.0},7,{-1.771199280364419,-0.7410093792959839},1.8e-16,7.4e-17},
    949. 

  949. {{3.1415926535897932384626433832795,-1.0},8,{-2.095643527009305,-0.8143293297913233},2.1e-16,8.1e-17},
    950. 

  950. {{3.1415926535897932384626433832795,-1.0},9,{-2.411516874569569,-0.8943325939018383},2.4e-16,8.9e-17},
    951. 

  951. {{3.1415926535897932384626433832795,-1.0},10,{-2.721411675539054,-0.9777768147195448},2.7e-16,9.8e-17},
    952. 

  952. {{3.1415926535897932384626433832795,-1.0},11,{-3.027111835298974,-1.063309102584322},3.0e-16,1.1e-16},
    953. 

  953. {{3.1415926535897932384626433832795,-1.0},12,{-3.329774296649566,-1.150219377262664},3.3e-16,1.2e-16},
    954. 

  954. {{3.1415926535897932384626433832795,-1.0},13,{-3.630166763485898,-1.238094014261345},3.6e-16,1.2e-16},
    955. 

  955. {{3.1415926535897932384626433832795,-1.0},14,{-3.928817217085422,-1.326673720493936},3.9e-16,1.3e-16},
    956. 

  956. {{3.1415926535897932384626433832795,-1.0},15,{-4.226100742557146,-1.415786610072522},4.2e-16,1.4e-16},
    957. 

  957. {{3.1415926535897932384626433832795,-1.0},16,{-4.522291311689719,-1.505313665423152},4.5e-16,1.5e-16},
    958. 

  958. {{3.1415926535897932384626433832795,-1.0},17,{-4.817593843830251,-1.595169551324783},4.8e-16,1.6e-16},
    959. 

  959. {{3.1415926535897932384626433832795,-1.0},18,{-5.112164766973625,-1.685291310034281},5.1e-16,1.7e-16},
    960. 

  960. {{3.1415926535897932384626433832795,-1.0},20,{-5.699572318128605,-1.86615306493475},5.7e-16,1.9e-16},
    961. 

  961. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},0,{2.751774491327042e-285,-0.9962720762207499},2.8e-301,1.0e-16},
    962. 

  962. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},1,{0.0600379414474612,-0.9937474772990555},6.0e-18,9.9e-17},
    963. 

  963. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},2,{0.1755931550573857,-0.9733545288614334},1.8e-17,9.7e-17},
    964. 

  964. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},3,{0.4182088376750213,-0.9938734364996493},4.2e-17,9.9e-17},
    965. 

  965. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},4,{0.6090686648347677,-1.400946520656703},6.1e-17,1.4e-16},
    966. 

  966. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},5,{-0.3302804616952033,-0.7130355074384637},3.3e-17,7.1e-17},
    967. 

  967. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},6,{-0.2034668873849598,1.09636524660088},2.0e-17,1.1e-16},
    968. 

  968. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},7,{-0.9151197226056406,1.447887030115355},9.2e-17,1.4e-16},
    969. 

  969. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},8,{-1.093769422349129,1.496402590540591},1.1e-16,1.5e-16},
    970. 

  970. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},9,{-1.263525999236148,1.628178116126507},1.3e-16,1.6e-16},
    971. 

  971. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},10,{-1.437371883177778,1.765418636739274},1.4e-16,1.8e-16},
    972. 

  972. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},11,{-1.60918161657964,1.906789543814},1.6e-16,1.9e-16},
    973. 

  973. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},12,{-1.779284876281019,2.051476536174302},1.8e-16,2.1e-16},
    974. 

  974. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},13,{-1.947952311740196,2.198638966254748},1.9e-16,2.2e-16},
    975. 

  975. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},14,{-2.115412657242335,2.347694364947096},2.1e-16,2.3e-16},
    976. 

  976. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},15,{-2.281861382871994,2.498227394611141},2.3e-16,2.5e-16},
    977. 

  977. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},16,{-2.447460450242283,2.649934919526216},2.4e-16,2.6e-16},
    978. 

  978. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},17,{-2.612342561555377,2.802591095407883},2.6e-16,2.8e-16},
    979. 

  979. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},18,{-2.776616194257877,2.956024444567054},2.8e-16,3.0e-16},
    980. 

  980. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},20,{-3.103677730388636,3.264721414005422},3.1e-16,3.3e-16},
    981. 

  981. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},21,{-3.266599244986335,3.419798501147436},3.3e-16,3.4e-16},
    982. 

  982. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},22,{-3.429185109298575,3.575267226381691},3.4e-16,3.6e-16},
    983. 

  983. {{6.2831853071795862319959269370884,-1.0},0,{1.028640466363268e-16,0.7615941559557649},1.0e-32,7.6e-17},
    984. 

  984. {{6.2831853071795862319959269370884,-1.0},1,{0.118490443174149,1.274694049282418},1.2e-17,1.3e-16},
    985. 

  985. {{6.2831853071795862319959269370884,-1.0},2,{-0.1856513350192726,0.7471769785178116},1.9e-17,7.5e-17},
    986. 

  986. {{6.2831853071795862319959269370884,-1.0},3,{0.2768024289482062,0.6931437961850393},2.8e-17,6.9e-17},
    987. 

  987. {{6.2831853071795862319959269370884,-1.0},4,{0.1086976874372488,1.161358574339028},1.1e-17,1.2e-16},
    988. 

  988. {{6.2831853071795862319959269370884,-1.0},5,{-0.3377602226494415,0.5581206587888317},3.4e-17,5.6e-17},
    989. 

  989. {{6.2831853071795862319959269370884,-1.0},6,{-0.2178103265918506,0.08222821063750248},2.2e-17,8.2e-18},
    990. 

  990. {{6.2831853071795862319959269370884,-1.0},7,{-0.3235985508010899,-0.2259866086401661},3.2e-17,2.3e-17},
    991. 

  991. {{6.2831853071795862319959269370884,-1.0},8,{-0.646555100667698,-0.358716765185808},6.5e-17,3.6e-17},
    992. 

  992. {{6.2831853071795862319959269370884,-1.0},9,{-0.9442688856366345,-0.3510704658280867},9.4e-17,3.5e-17},
    993. 

  993. {{6.2831853071795862319959269370884,-1.0},10,{-1.173414015067102,-0.3378028411431261},1.2e-16,3.4e-17},
    994. 

  994. {{6.2831853071795862319959269370884,-1.0},11,{-1.375210607885232,-0.3420479591705745},1.4e-16,3.4e-17},
    995. 

  995. {{6.2831853071795862319959269370884,-1.0},12,{-1.565394193409859,-0.355077628599805},1.6e-16,3.6e-17},
    996. 

  996. {{6.2831853071795862319959269370884,-1.0},13,{-1.748424803477854,-0.3720139875979341},1.7e-16,3.7e-17},
    997. 

  997. {{6.2831853071795862319959269370884,-1.0},14,{-1.926390248329804,-0.3910302018583015},1.9e-16,3.9e-17},
    998. 

  998. {{6.2831853071795862319959269370884,-1.0},15,{-2.100611141547864,-0.4113324738841946},2.1e-16,4.1e-17},
    999. 

  999. {{6.2831853071795862319959269370884,-1.0},16,{-2.27197885499843,-0.4325025916540024},2.3e-16,4.3e-17},
    1000. 

  1000. {{6.2831853071795862319959269370884,-1.0},18,{-2.608469851298015,-0.4765432487676611},2.6e-16,4.8e-17},
    1001. 

  1001. {{6.2831853071795862319959269370884,-1.0},19,{-2.77437412514539,-0.4991481353599046},2.8e-16,5.0e-17},
    1002. 

  1002. {{6.2831853071795862319959269370884,-1.0},20,{-2.939080962634986,-0.5220318339355322},2.9e-16,5.2e-17},
    1003. 

  1003. {{6.2831853071795862319959269370884,-1.0},22,{-3.265643862194712,-0.56843085660439},3.3e-16,5.7e-17},
    1004. 

  1004. {{6.2831853071795862319959269370884,-1.0},23,{-3.427777831706615,-0.5918741791259039},3.4e-16,5.9e-17},
    1005. 

  1005. {{6.2831853071795862319959269370884,-1.0},25,{-3.750257209199445,-0.6391251649246937},3.8e-16,6.4e-17},
    1006. 

  1006. {{6.2831853071795862319959269370884,-1.0},26,{-3.910752977720189,-0.6628981349489083},3.9e-16,6.6e-17},
    1007. 

  1007. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},0,{1.822752084357914e-18,-0.9962720762207499},1.8e-34,1.0e-16},
    1008. 

  1008. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},1,{0.01638692212171037,-0.9889774526391681},1.6e-18,9.9e-17},
    1009. 

  1009. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},2,{0.04347083543814275,-0.9508007624217535},4.3e-18,9.5e-17},
    1010. 

  1010. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},3,{0.107261093542249,-0.9071686546695502},1.1e-17,9.1e-17},
    1011. 

  1011. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},4,{0.175117344715386,-0.8561859573769533},1.8e-17,8.6e-17},
    1012. 

  1012. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},5,{0.2821675574861068,-0.7525267760584285},2.8e-17,7.5e-17},
    1013. 

  1013. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},6,{0.5402011103505854,-0.6211024000070052},5.4e-17,6.2e-17},
    1014. 

  1014. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},7,{1.38783850138823,-0.6934990519610407},1.4e-16,6.9e-17},
    1015. 

  1015. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},8,{-3.187135828439812,-0.5725084998065276},3.2e-16,5.7e-17},
    1016. 

  1016. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},9,{-0.915131347791704,0.5729817252140471},9.2e-17,5.7e-17},
    1017. 

  1017. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},10,{-0.923217974176531,0.8300909144758183},9.2e-17,8.3e-17},
    1018. 

  1018. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},11,{-1.100410925564222,0.8979532170033908},1.1e-16,9.0e-17},
    1019. 

  1019. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},12,{-1.256084133017434,0.9358074358881137},1.3e-16,9.4e-17},
    1020. 

  1020. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},13,{-1.403918504609038,0.9798173919080233},1.4e-16,9.8e-17},
    1021. 

  1021. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},14,{-1.549171556142642,1.028298861786689},1.5e-16,1.0e-16},
    1022. 

  1022. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},15,{-1.692284068440422,1.079675997707898},1.7e-16,1.1e-16},
    1023. 

  1023. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},16,{-1.83351693970348,1.133178099012019},1.8e-16,1.1e-16},
    1024. 

  1024. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},17,{-1.973144021086521,1.188294020790342},2.0e-16,1.2e-16},
    1025. 

  1025. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},19,{-2.248507874014136,1.302018460544428},2.2e-16,1.3e-16},
    1026. 

  1026. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},20,{-2.384616726791012,1.360171448495848},2.4e-16,1.4e-16},
    1027. 

  1027. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},22,{-2.654392752188639,1.478316329319233},2.7e-16,1.5e-16},
    1028. 

  1028. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},23,{-2.788272523600718,1.53810912969502},2.8e-16,1.5e-16},
    1029. 

  1029. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},25,{-3.05442272767237,1.658785490026429},3.1e-16,1.7e-16},
    1030. 

  1030. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},27,{-3.318830366257712,1.78059624870022},3.3e-16,1.8e-16},
    1031. 

  1031. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},29,{-3.581862130100558,1.903267755210881},3.6e-16,1.9e-16},
    1032. 

  1032. {{6.2831853071795862319959269370884,1.0},0,{1.028640466363268e-16,-0.7615941559557649},1.0e-32,7.6e-17},
    1033. 

  1033. {{6.2831853071795862319959269370884,1.0},1,{0.118490443174149,-1.274694049282418},1.2e-17,1.3e-16},
    1034. 

  1034. {{6.2831853071795862319959269370884,1.0},2,{-0.1856513350192726,-0.7471769785178116},1.9e-17,7.5e-17},
    1035. 

  1035. {{6.2831853071795862319959269370884,1.0},3,{0.2768024289482062,-0.6931437961850393},2.8e-17,6.9e-17},
    1036. 

  1036. {{6.2831853071795862319959269370884,1.0},4,{0.1086976874372488,-1.161358574339028},1.1e-17,1.2e-16},
    1037. 

  1037. {{6.2831853071795862319959269370884,1.0},5,{-0.3377602226494415,-0.5581206587888317},3.4e-17,5.6e-17},
    1038. 

  1038. {{6.2831853071795862319959269370884,1.0},6,{-0.2178103265918506,-0.08222821063750248},2.2e-17,8.2e-18},
    1039. 

  1039. {{6.2831853071795862319959269370884,1.0},7,{-0.3235985508010899,0.2259866086401661},3.2e-17,2.3e-17},
    1040. 

  1040. {{6.2831853071795862319959269370884,1.0},8,{-0.646555100667698,0.358716765185808},6.5e-17,3.6e-17},
    1041. 

  1041. {{6.2831853071795862319959269370884,1.0},9,{-0.9442688856366345,0.3510704658280867},9.4e-17,3.5e-17},
    1042. 

  1042. {{6.2831853071795862319959269370884,1.0},10,{-1.173414015067102,0.3378028411431261},1.2e-16,3.4e-17},
    1043. 

  1043. {{6.2831853071795862319959269370884,1.0},11,{-1.375210607885232,0.3420479591705745},1.4e-16,3.4e-17},
    1044. 

  1044. {{6.2831853071795862319959269370884,1.0},12,{-1.565394193409859,0.355077628599805},1.6e-16,3.6e-17},
    1045. 

  1045. {{6.2831853071795862319959269370884,1.0},13,{-1.748424803477854,0.3720139875979341},1.7e-16,3.7e-17},
    1046. 

  1046. {{6.2831853071795862319959269370884,1.0},14,{-1.926390248329804,0.3910302018583015},1.9e-16,3.9e-17},
    1047. 

  1047. {{6.2831853071795862319959269370884,1.0},15,{-2.100611141547864,0.4113324738841946},2.1e-16,4.1e-17},
    1048. 

  1048. {{6.2831853071795862319959269370884,1.0},16,{-2.27197885499843,0.4325025916540024},2.3e-16,4.3e-17},
    1049. 

  1049. {{6.2831853071795862319959269370884,1.0},18,{-2.608469851298015,0.4765432487676611},2.6e-16,4.8e-17},
    1050. 

  1050. {{6.2831853071795862319959269370884,1.0},19,{-2.77437412514539,0.4991481353599046},2.8e-16,5.0e-17},
    1051. 

  1051. {{6.2831853071795862319959269370884,1.0},20,{-2.939080962634986,0.5220318339355322},2.9e-16,5.2e-17},
    1052. 

  1052. {{6.2831853071795862319959269370884,1.0},22,{-3.265643862194712,0.56843085660439},3.3e-16,5.7e-17},
    1053. 

  1053. {{6.2831853071795862319959269370884,1.0},23,{-3.427777831706615,0.5918741791259039},3.4e-16,5.9e-17},
    1054. 

  1054. {{6.2831853071795862319959269370884,1.0},25,{-3.750257209199445,0.6391251649246937},3.8e-16,6.4e-17},
    1055. 

  1055. {{6.2831853071795862319959269370884,1.0},26,{-3.910752977720189,0.6628981349489083},3.9e-16,6.6e-17},
    1056. 

  1056. {{3.1415926535897932384626433832795,0.0},0,{3.697652414388656e-283,0.0},3.7e-299,0.0},
    1057. 

  1057. {{3.1415926535897932384626433832795,0.0},1,{2.823282767406003,0.0},2.8e-16,0.0},
    1058. 

  1058. {{3.1415926535897932384626433832795,0.0},2,{-1.093937613419915,0.0},1.1e-16,0.0},
    1059. 

  1059. {{3.1415926535897932384626433832795,0.0},3,{-0.4668550947764989,0.0},4.7e-17,0.0},
    1060. 

  1060. {{3.1415926535897932384626433832795,0.0},4,{-0.6985581582787117,0.0},7.0e-17,0.0},
    1061. 

  1061. {{3.1415926535897932384626433832795,0.0},5,{-1.154888723484527,0.0},1.2e-16,0.0},
    1062. 

  1062. {{3.1415926535897932384626433832795,0.0},6,{-1.583568220165334,0.0},1.6e-16,0.0},
    1063. 

  1063. {{3.1415926535897932384626433832795,0.0},7,{-1.965821646540506,0.0},2.0e-16,0.0},
    1064. 

  1064. {{3.1415926535897932384626433832795,0.0},8,{-2.324862655082562,0.0},2.3e-16,0.0},
    1065. 

  1065. {{3.1415926535897932384626433832795,0.0},9,{-2.672097814251814,0.0},2.7e-16,0.0},
    1066. 

  1066. {{3.1415926535897932384626433832795,0.0},10,{-3.012310405818385,0.0},3.0e-16,0.0},
    1067. 

  1067. {{3.1415926535897932384626433832795,0.0},11,{-3.347886623965971,0.0},3.3e-16,0.0},
    1068. 

  1068. {{3.1415926535897932384626433832795,0.0},12,{-3.680202022452916,0.0},3.7e-16,0.0},
    1069. 

  1069. {{3.1415926535897932384626433832795,0.0},13,{-4.010122340785055,0.0},4.0e-16,0.0},
    1070. 

  1070. {{3.1415926535897932384626433832795,0.0},14,{-4.338225297702631,0.0},4.3e-16,0.0},
    1071. 

  1071. {{3.1415926535897932384626433832795,0.0},15,{-4.66491342262249,0.0},4.7e-16,0.0},
    1072. 

  1072. {{3.1415926535897932384626433832795,0.0},16,{-4.990476814065978,0.0},5.0e-16,0.0},
    1073. 

  1073. {{3.1415926535897932384626433832795,0.0},17,{-5.315130348653373,0.0},5.3e-16,0.0},
    1074. 

  1074. {{3.1415926535897932384626433832795,0.0},18,{-5.639036854808338,0.0},5.6e-16,0.0},
    1075. 

  1075. {{3.1415926535897932384626433832795,0.0},20,{-6.285084985730819,0.0},6.3e-16,0.0},
    1076. 

  1076. {{3.141592653589793,0.0},0,{2.384626433832795e-16,0.0},2.4e-32,0.0},
    1077. 

  1077. {{3.141592653589793,0.0},1,{2.823282767406005,0.0},2.8e-16,0.0},
    1078. 

  1078. {{3.141592653589793,0.0},2,{-1.093937613419914,0.0},1.1e-16,0.0},
    1079. 

  1079. {{3.141592653589793,0.0},3,{-0.4668550947764989,0.0},4.7e-17,0.0},
    1080. 

  1080. {{3.141592653589793,0.0},4,{-0.6985581582787118,0.0},7.0e-17,0.0},
    1081. 

  1081. {{3.141592653589793,0.0},5,{-1.154888723484528,0.0},1.2e-16,0.0},
    1082. 

  1082. {{3.141592653589793,0.0},6,{-1.583568220165334,0.0},1.6e-16,0.0},
    1083. 

  1083. {{3.141592653589793,0.0},7,{-1.965821646540506,0.0},2.0e-16,0.0},
    1084. 

  1084. {{3.141592653589793,0.0},8,{-2.324862655082562,0.0},2.3e-16,0.0},
    1085. 

  1085. {{3.141592653589793,0.0},9,{-2.672097814251814,0.0},2.7e-16,0.0},
    1086. 

  1086. {{3.141592653589793,0.0},10,{-3.012310405818385,0.0},3.0e-16,0.0},
    1087. 

  1087. {{3.141592653589793,0.0},11,{-3.347886623965971,0.0},3.3e-16,0.0},
    1088. 

  1088. {{3.141592653589793,0.0},12,{-3.680202022452917,0.0},3.7e-16,0.0},
    1089. 

  1089. {{3.141592653589793,0.0},13,{-4.010122340785055,0.0},4.0e-16,0.0},
    1090. 

  1090. {{3.141592653589793,0.0},14,{-4.338225297702632,0.0},4.3e-16,0.0},
    1091. 

  1091. {{3.141592653589793,0.0},15,{-4.664913422622491,0.0},4.7e-16,0.0},
    1092. 

  1092. {{3.141592653589793,0.0},16,{-4.990476814065978,0.0},5.0e-16,0.0},
    1093. 

  1093. {{3.141592653589793,0.0},17,{-5.315130348653373,0.0},5.3e-16,0.0},
    1094. 

  1094. {{3.141592653589793,0.0},18,{-5.639036854808339,0.0},5.6e-16,0.0},
    1095. 

  1095. {{3.141592653589793,0.0},20,{-6.285084985730819,0.0},6.3e-16,0.0},
    1096. 

  1096. };
    1097. 

  1097. 

  1098. // complex(z), n, complex(f(n,z)), abs_err_real, abs_err_imag
    1099. 

  1099. std::vector< std::tuple< std::complex<double>, int, std::complex<double>, double, double > >
    1100. 

  1100. D3_test_16digits
    1101. 

  1101. = {
    1102. 

  1102. {{13300.0,-0.1},0,{0.0,1.0},0.0,1.0e-16},
    1103. 

  1103. {{13300.0,-0.1},1,{-3.400439576064988e-13,0.9999999943467692},3.4e-29,1.0e-16},
    1104. 

  1104. {{13300.0,-0.1},2,{-1.02013189877118e-12,0.9999999830403075},1.0e-28,1.0e-16},
    1105. 

  1105. {{13300.0,-0.1},3,{-2.040263875397417e-12,0.9999999660806147},2.0e-28,1.0e-16},
    1106. 

  1106. {{13300.0,-0.1},4,{-3.400439965340277e-12,0.9999999434676906},3.4e-28,1.0e-16},
    1107. 

  1107. {{13300.0,-0.1},5,{-5.100660272406543e-12,0.9999999152015347},5.1e-28,1.0e-16},
    1108. 

  1108. {{13300.0,-0.1},6,{-7.140924926354723e-12,0.9999998812821465},7.1e-28,1.0e-16},
    1109. 

  1109. {{13300.0,-0.1},8,{-1.224158792368965e-11,0.9999997964836711},1.2e-27,1.0e-16},
    1110. 

  1110. {{13300.0,-0.1},10,{-1.870243051444869e-11,0.9999996890722586},1.9e-27,1.0e-16},
    1111. 

  1111. {{13300.0,-0.1},12,{-2.652345467096505e-11,0.9999995590479018},2.7e-27,1.0e-16},
    1112. 

  1112. {{13300.0,-0.1},15,{-4.080533667787133e-11,0.999999321612076},4.1e-27,1.0e-16},
    1113. 

  1113. {{13300.0,-0.1},18,{-5.814764248686488e-11,0.999999033297069},5.8e-27,1.0e-16},
    1114. 

  1114. {{13300.0,-0.1},22,{-8.603139703783761e-11,0.9999985697315893},8.6e-27,1.0e-16},
    1115. 

  1115. {{13300.0,-0.1},27,{-1.28537232356385e-10,0.9999978630764811},1.3e-26,1.0e-16},
    1116. 

  1116. {{13300.0,-0.1},32,{-1.795444131588628e-10,0.9999970150896922},1.8e-26,1.0e-16},
    1117. 

  1117. {{13300.0,-0.1},40,{-2.788389500368772e-10,0.999995364340014},2.8e-26,1.0e-16},
    1118. 

  1118. {{13300.0,-0.1},48,{-3.99897670899495e-10,0.9999933517785008},4.0e-26,1.0e-16},
    1119. 

  1119. {{13300.0,-0.1},59,{-6.018913482575541e-10,0.999989993731453},6.0e-26,1.0e-16},
    1120. 

  1120. {{13300.0,-0.1},71,{-8.691806030714543e-10,0.9999855502377231},8.7e-26,1.0e-16},
    1121. 

  1121. {{13300.0,-0.1},87,{-1.301751636840212e-9,0.999978359198404},1.3e-25,1.0e-16},
    1122. 

  1122. {{13300.0,-0.1},105,{-1.892478559255885e-9,0.999968539275809},1.9e-25,1.0e-16},
    1123. 

  1123. {{13300.0,-0.1},128,{-2.807697724335093e-9,0.9999533258374243},2.8e-25,1.0e-16},
    1124. 

  1124. {{13300.0,-0.1},155,{-4.111763702027196e-9,0.9999316501039903},4.1e-25,1.0e-16},
    1125. 

  1125. {{13300.0,-0.1},189,{-6.106883864825003e-9,0.9998984910892781},6.1e-25,1.0e-16},
    1126. 

  1126. {{13300.0,-0.1},229,{-8.95805814929697e-9,0.9998511110833991},9.0e-25,1.0e-16},
    1127. 

  1127. {{13300.0,-0.1},279,{-1.328871882120813e-8,0.9997791604205924},1.3e-24,1.0e-16},
    1128. 

  1128. {{13300.0,-0.1},338,{-1.949566427437159e-8,0.9996760682893887},1.9e-24,1.0e-16},
    1129. 

  1129. {{13300.0,-0.1},411,{-2.882119692710565e-8,0.99952124896133},2.9e-24,1.0e-16},
    1130. 

  1130. {{13300.0,-0.1},499,{-4.248789333886431e-8,0.9992945106023009},4.2e-24,1.0e-16},
    1131. 

  1131. {{13300.0,-0.1},606,{-6.268784827324142e-8,0.9989597110407947},6.3e-24,1.0e-16},
    1132. 

  1132. {{13300.0,-0.1},736,{-9.254452618551611e-8,0.9984655761319616},9.3e-24,1.0e-16},
    1133. 

  1133. {{13300.0,-0.1},894,{-1.367351871332925e-7,0.9977357768741157},1.4e-23,1.0e-16},
    1134. 

  1134. {{13300.0,-0.1},1086,{-2.022251492259403e-7,0.9966576457442607},2.0e-23,1.0e-16},
    1135. 

  1135. {{13300.0,-0.1},1319,{-2.993332266274127e-7,0.9950664665997103},3.0e-23,1.0e-16},
    1136. 

  1136. {{13300.0,-0.1},1601,{-4.432934379930979e-7,0.9927238197940671},4.4e-23,9.9e-17},
    1137. 

  1137. {{13300.0,-0.1},1945,{-6.593672942603503e-7,0.989243494339538},6.6e-23,9.9e-17},
    1138. 

  1138. {{13300.0,-0.1},2362,{-9.83775545482961e-7,0.9840970601559616},9.8e-23,9.8e-17},
    1139. 

  1139. {{13300.0,-0.1},13560,{-0.1978882692837703,-3.967948672613146e-5},2.0e-17,4.0e-21},
    1140. 

  1140. {{15000.0,-10000.0},0,{0.0,1.0},0.0,1.0e-16},
    1141. 

  1141. {{15000.0,-10000.0},1,{2.84026945162933e-9,0.9999999988164005},2.8e-25,1.0e-16},
    1142. 

  1142. {{15000.0,-10000.0},2,{8.520808375061527e-9,0.9999999964492016},8.5e-25,1.0e-16},
    1143. 

  1143. {{15000.0,-10000.0},3,{1.704161681064366e-8,0.9999999928984033},1.7e-24,1.0e-16},
    1144. 

  1144. {{15000.0,-10000.0},4,{2.840269481889634e-8,0.9999999881640057},2.8e-24,1.0e-16},
    1145. 

  1145. {{15000.0,-10000.0},6,{5.96456598963634e-8,0.9999999751444127},6.0e-24,1.0e-16},
    1146. 

  1146. {{15000.0,-10000.0},7,{7.952754718748665e-8,0.9999999668592176},8.0e-24,1.0e-16},
    1147. 

  1147. {{15000.0,-10000.0},9,{1.278121319805862e-7,0.9999999467380309},1.3e-23,1.0e-16},
    1148. 

  1148. {{15000.0,-10000.0},11,{1.874577982316124e-7,0.9999999218824499},1.9e-23,1.0e-16},
    1149. 

  1149. {{15000.0,-10000.0},13,{2.584645476351414e-7,0.9999998922924764},2.6e-23,1.0e-16},
    1150. 

  1150. {{15000.0,-10000.0},16,{3.862767071525949e-7,0.9999998390305346},3.9e-23,1.0e-16},
    1151. 

  1151. {{15000.0,-10000.0},20,{5.964567324115234e-7,0.9999997514442596},6.0e-23,1.0e-16},
    1152. 

  1152. {{15000.0,-10000.0},24,{8.520811370830121e-7,0.9999996449204608},8.5e-23,1.0e-16},
    1153. 

  1153. {{15000.0,-10000.0},30,{1.320726020447437e-6,0.99999944962697},1.3e-22,1.0e-16},
    1154. 

  1154. {{15000.0,-10000.0},36,{1.891620943893063e-6,0.9999992117242355},1.9e-22,1.0e-16},
    1155. 

  1155. {{15000.0,-10000.0},44,{2.811870049126164e-6,0.9999988282397975},2.8e-22,1.0e-16},
    1156. 

  1156. {{15000.0,-10000.0},54,{4.217807545189578e-6,0.9999982423621463},4.2e-22,1.0e-16},
    1157. 

  1157. {{15000.0,-10000.0},67,{6.470151250788692e-6,0.9999973037777175},6.5e-22,1.0e-16},
    1158. 

  1158. {{15000.0,-10000.0},82,{9.665475868536043e-6,0.9999959722496228},9.7e-22,1.0e-16},
    1159. 

  1159. {{15000.0,-10000.0},100,{1.434344645897526e-5,0.9999940229077095},1.4e-21,1.0e-16},
    1160. 

  1160. {{15000.0,-10000.0},122,{2.131073094626111e-5,0.9999911196408604},2.1e-21,1.0e-16},
    1161. 

  1161. {{15000.0,-10000.0},149,{3.174043095735599e-5,0.9999867736922388},3.2e-21,1.0e-16},
    1162. 

  1162. {{15000.0,-10000.0},182,{4.729993952558016e-5,0.999980290442509},4.7e-21,1.0e-16},
    1163. 

  1163. {{15000.0,-10000.0},223,{7.094066703164427e-5,0.9999704404991336},7.1e-21,1.0e-16},
    1164. 

  1164. {{15000.0,-10000.0},272,{0.0001054581586252006,0.9999560599143091},1.1e-20,1.0e-16},
    1165. 

  1165. {{15000.0,-10000.0},333,{0.0001579606214003589,0.999934189160139},1.6e-20,1.0e-16},
    1166. 

  1166. {{15000.0,-10000.0},407,{0.0002358450668200512,0.9999017510880184},2.4e-20,1.0e-16},
    1167. 

  1167. {{15000.0,-10000.0},497,{0.0003515433469161231,0.9998535770854752},3.5e-20,1.0e-16},
    1168. 

  1168. {{15000.0,-10000.0},608,{0.0005259513321601364,0.9997809874552286},5.3e-20,1.0e-16},
    1169. 

  1169. {{15000.0,-10000.0},742,{0.0007831841585954275,0.9996739907967603},7.8e-20,1.0e-16},
    1170. 

  1170. {{15000.0,-10000.0},907,{0.0011701301961291,0.9995131858706238},1.2e-19,1.0e-16},
    1171. 

  1171. {{15000.0,-10000.0},1108,{0.001746289656337749,0.9992740743002811},1.7e-19,1.0e-16},
    1172. 

  1172. {{15000.0,-10000.0},1354,{0.0026083036501201,0.9989170579410502},2.6e-19,1.0e-16},
    1173. 

  1173. {{15000.0,-10000.0},1655,{0.003898434272384769,0.9983843598666412},3.9e-19,1.0e-16},
    1174. 

  1174. {{15000.0,-10000.0},2022,{0.005823086211357998,0.9975932972803287},5.8e-19,1.0e-16},
    1175. 

  1175. {{15000.0,-10000.0},2471,{0.008705827478245269,0.9964165769276073},8.7e-19,1.0e-16},
    1176. 

  1176. {{15000.0,-10000.0},3019,{0.01301723709079792,0.9946748807501365},1.3e-18,9.9e-17},
    1177. 

  1177. {{15000.0,-10000.0},3688,{0.01947471605308964,0.9921070242409564},1.9e-18,9.9e-17},
    1178. 

  1178. {{15000.0,-10000.0},4506,{0.02918119661762942,0.9883391854624398},2.9e-18,9.9e-17},
    1179. 

  1179. {{15000.0,-10000.0},5506,{0.0438113434957399,0.9828686787236778},4.4e-18,9.8e-17},
    1180. 

  1180. {{15000.0,-10000.0},6727,{0.06591734046001419,0.9750775397377561},6.6e-18,9.8e-17},
    1181. 

  1181. {{15000.0,-10000.0},8219,{0.09949401019510352,0.9643312731804727},9.9e-18,9.6e-17},
    1182. 

  1182. {{15000.0,-10000.0},10042,{0.1506925762625648,0.9504421084014469},1.5e-17,9.5e-17},
    1183. 

  1183. {{15000.0,-10000.0},12270,{0.2287073285360497,0.9349327103661624},2.3e-17,9.3e-17},
    1184. 

  1184. {{15000.0,-10000.0},14991,{0.345508860352488,0.9237817578495397},3.5e-17,9.2e-17},
    1185. 

  1185. {{15000.0,-10000.0},18316,{0.5122082784326123,0.9302050482741219},5.1e-17,9.3e-17},
    1186. 

  1186. {{100000.0,-100000.0},0,{0.0,1.0},0.0,1.0e-16},
    1187. 

  1187. {{100000.0,-100000.0},1,{5.000024999999999e-11,0.9999999999999997},5.0e-27,1.0e-16},
    1188. 

  1188. {{100000.0,-100000.0},2,{1.500007500000001e-10,0.9999999999999992},1.5e-26,1.0e-16},
    1189. 

  1189. {{100000.0,-100000.0},3,{3.000015000000007e-10,0.9999999999999985},3.0e-26,1.0e-16},
    1190. 

  1190. {{100000.0,-100000.0},4,{5.000025000000021e-10,0.9999999999999975},5.0e-26,1.0e-16},
    1191. 

  1191. {{100000.0,-100000.0},5,{7.500037500000051e-10,0.9999999999999963},7.5e-26,1.0e-16},
    1192. 

  1192. {{100000.0,-100000.0},6,{1.05000525000001e-9,0.9999999999999948},1.1e-25,1.0e-16},
    1193. 

  1193. {{100000.0,-100000.0},8,{1.800009000000031e-9,0.999999999999991},1.8e-25,1.0e-16},
    1194. 

  1194. {{100000.0,-100000.0},11,{3.300016500000106e-9,0.9999999999999835},3.3e-25,1.0e-16},
    1195. 

  1195. {{100000.0,-100000.0},14,{5.250026250000272e-9,0.9999999999999738},5.3e-25,1.0e-16},
    1196. 

  1196. {{100000.0,-100000.0},18,{8.550042750000724e-9,0.9999999999999573},8.6e-25,1.0e-16},
    1197. 

  1197. {{100000.0,-100000.0},23,{1.380006900000189e-8,0.9999999999999311},1.4e-24,1.0e-16},
    1198. 

  1198. {{100000.0,-100000.0},29,{2.175010875000471e-8,0.9999999999998915},2.2e-24,1.0e-16},
    1199. 

  1199. {{100000.0,-100000.0},37,{3.515017575001231e-8,0.9999999999998249},3.5e-24,1.0e-16},
    1200. 

  1200. {{100000.0,-100000.0},48,{5.880029400003443e-8,0.9999999999997077},5.9e-24,1.0e-16},
    1201. 

  1201. {{100000.0,-100000.0},61,{9.455047275008891e-8,0.9999999999995317},9.5e-24,1.0e-16},
    1202. 

  1202. {{100000.0,-100000.0},78,{1.540507702502354e-7,0.9999999999992416},1.5e-23,1.0e-16},
    1203. 

  1203. {{100000.0,-100000.0},99,{2.475012375006048e-7,0.9999999999987931},2.5e-23,1.0e-16},
    1204. 

  1204. {{100000.0,-100000.0},126,{4.000520002515681e-7,0.9999999999980797},4.0e-23,1.0e-16},
    1205. 

  1205. {{100000.0,-100000.0},161,{6.520532602541127e-7,0.9999999999969523},6.5e-23,1.0e-16},
    1206. 

  1206. {{100000.0,-100000.0},205,{1.055755278760557e-6,0.9999999999952785},1.1e-22,1.0e-16},
    1207. 

  1207. {{100000.0,-100000.0},262,{1.722658613277119e-6,0.9999999999928704},1.7e-22,1.0e-16},
    1208. 

  1208. {{100000.0,-100000.0},333,{2.780563902816566e-6,0.9999999999899628},2.8e-22,1.0e-16},
    1209. 

  1209. {{100000.0,-100000.0},425,{4.526272631408507e-6,0.9999999999876121},4.5e-22,1.0e-16},
    1210. 

  1210. {{100000.0,-100000.0},541,{7.330586653090414e-6,0.9999999999902157},7.3e-22,1.0e-16},
    1211. 

  1211. {{100000.0,-100000.0},690,{1.191980959932403e-5,1.000000000011442},1.2e-21,1.0e-16},
    1212. 

  1212. {{100000.0,-100000.0},879,{1.933809669012375e-5,1.000000000090291},1.9e-21,1.0e-16},
    1213. 

  1213. {{100000.0,-100000.0},1120,{3.138815693438994e-5,1.000000000335671},3.1e-21,1.0e-16},
    1214. 

  1214. {{100000.0,-100000.0},1427,{5.094415467934417e-5,1.000000001042943},5.1e-21,1.0e-16},
    1215. 

  1215. {{100000.0,-100000.0},1818,{8.267396315355681e-5,1.000000003004152},8.3e-21,1.0e-16},
    1216. 

  1216. {{100000.0,-100000.0},2316,{0.000134154969744219,1.000000008328086},1.3e-20,1.0e-16},
    1217. 

  1217. {{100000.0,-100000.0},2950,{0.000217637333500487,1.000000022595044},2.2e-20,1.0e-16},
    1218. 

  1218. {{100000.0,-100000.0},3758,{0.0003531597950135793,1.000000060595726},3.5e-20,1.0e-16},
    1219. 

  1219. {{100000.0,-100000.0},4788,{0.0005732460753128427,1.000000161440903},5.7e-20,1.0e-16},
    1220. 

  1220. {{100000.0,-100000.0},6100,{0.0009304067579528531,1.000000428180528},9.3e-20,1.0e-16},
    1221. 

  1221. {{84.0,80.0},0,{0.0,1.0},0.0,1.0e-16},
    1222. 

  1222. {{84.0,80.0},1,{-7.380873229998488e-5,0.9999968564160156},7.4e-21,1.0e-16},
    1223. 

  1223. {{84.0,80.0},30,{-0.03434386053057851,0.9991195766939804},3.4e-18,1.0e-16},
    1224. 

  1224. {{84.0,80.0},50,{-0.09402245799827037,1.000353490231355},9.4e-18,1.0e-16},
    1225. 

  1225. {{84.0,80.0},60,{-0.1345473903609001,1.003170792738456},1.3e-17,1.0e-16},
    1226. 

  1226. {{84.0,80.0},70,{-0.1817230618520317,1.00843270031902},1.8e-17,1.0e-16},
    1227. 

  1227. {{84.0,80.0},75,{-0.2076228712594277,1.012212612957787},2.1e-17,1.0e-16},
    1228. 

  1228. {{84.0,80.0},80,{-0.2349404747348349,1.016871463304636},2.3e-17,1.0e-16},
    1229. 

  1229. {{84.0,80.0},85,{-0.2635686609374602,1.022481687455244},2.6e-17,1.0e-16},
    1230. 

  1230. {{84.0,80.0},90,{-0.2933911867598706,1.029102693099821},2.9e-17,1.0e-16},
    1231. 

  1231. {{84.0,80.0},99,{-0.3496890700331609,1.043699563710252},3.5e-17,1.0e-16},
    1232. 

  1232. {{84.0,80.0},116,{-0.4629585425983123,1.080906756288357},4.6e-17,1.1e-16},
    1233. 

  1233. {{84.0,80.0},130,{-0.5604711899756067,1.120598153464464},5.6e-17,1.1e-16},
    1234. 

  1234. {{0.07425,0.0},0,{0.0,1.0},0.0,1.0e-16},
    1235. 

  1235. {{0.07425,0.0},1,{-13.39417056853348,0.005482835286388932},1.3e-15,5.5e-19},
    1236. 

  1236. {{0.07425,0.0},2,{-26.91123162027365,3.370889322669448e-6},2.7e-15,3.4e-22},
    1237. 

  1237. {{0.07425,0.0},3,{-40.3891849341013,7.439046667283003e-10},4.0e-15,7.4e-26},
    1238. 

  1238. {{0.07425,0.0},4,{-53.86144505752241,8.372419817902392e-14},5.4e-15,8.4e-30},
    1239. 

  1239. {{0.07575,0.0},0,{0.0,1.0},0.0,1.0e-16},
    1240. 

  1240. {{0.07575,0.0},1,{-13.12600231038109,0.005705324988632415},1.3e-15,5.7e-19},
    1241. 

  1241. {{0.07575,0.0},2,{-26.37734215323787,3.651376172994635e-6},2.6e-15,3.7e-22},
    1242. 

  1242. {{0.07575,0.0},3,{-39.58880458732769,8.387157675741533e-10},4.0e-15,8.4e-26},
    1243. 

  1243. {{0.07575,0.0},4,{-52.79445732439479,9.824862221764371e-14},5.3e-15,9.8e-30},
    1244. 

  1244. {{7.5,0.0},0,{0.0,1.0},0.0,1.0e-16},
    1245. 

  1245. {{7.5,0.0},1,{-0.002328966521106259,0.9825327510917031},2.3e-19,9.8e-17},
    1246. 

  1246. {{7.5,0.0},2,{-0.007451046400718173,0.9468103012960781},7.5e-19,9.5e-17},
    1247. 

  1247. {{7.5,0.0},3,{-0.01650442711542185,0.8911440088718337},1.7e-18,8.9e-17},
    1248. 

  1248. {{7.5,0.0},4,{-0.03186665153046955,0.8127470706499601},3.2e-18,8.1e-17},
    1249. 

  1249. {{7.5,0.0},5,{-0.05845656171049404,0.7076555523774308},5.8e-18,7.1e-17},
    1250. 

  1250. {{7.5,0.0},6,{-0.1064232998486411,0.571739357299301},1.1e-17,5.7e-17},
    1251. 

  1251. {{7.5,0.0},7,{-0.1948591940771026,0.4060707249045435},1.9e-17,4.1e-17},
    1252. 

  1252. {{7.5,0.0},8,{-0.3483973155893959,0.2312026769682724},3.5e-17,2.3e-17},
    1253. 

  1253. {{7.5,0.0},9,{-0.5682560945313477,0.09433036381049633},5.7e-17,9.4e-18},
    1254. 

  1254. {{7.5,0.0},10,{-0.808748339097055,0.02602259595616378},8.1e-17,2.6e-18},
    1255. 

  1255. {{7.5,0.0},11,{-1.027243869978313,0.005025422555087043},1.0e-16,5.0e-19},
    1256. 

  1256. {{7.5,0.0},12,{-1.219374374570939,0.0007280651122391265},1.2e-16,7.3e-20},
    1257. 

  1257. {{7.5,0.0},13,{-1.394661159137556,8.350823004188534e-5},1.4e-16,8.4e-21},
    1258. 

  1258. {{7.5,0.0},14,{-1.560043091007645,7.851278209385419e-6},1.6e-16,7.9e-22},
    1259. 

  1259. {{7.5,0.0},16,{-1.873757439540259,4.174058904183023e-8},1.9e-16,4.2e-24},
    1260. 

  1260. {{7.5,0.0},17,{-2.025145514642434,2.434831527630243e-9},2.0e-16,2.4e-25},
    1261. 

  1261. {{7.5,0.0},18,{-2.174018730753354,1.243408419440626e-10},2.2e-16,1.2e-26},
    1262. 

  1262. {{7.5,0.0},19,{-2.320899679256512,5.611260650480046e-12},2.3e-16,5.6e-28},
    1263. 

  1263. {{7.5,0.0},21,{-2.610108605596247,8.133802787253441e-15},2.6e-16,8.1e-31},
    1264. 

  1264. {{7.5,0.0},22,{-2.752939994498599,2.646882313155865e-16},2.8e-16,2.6e-32},
    1265. 

  1265. {{7.5,0.0},24,{-3.035926615655057,2.10389295861044e-19},3.0e-16,2.1e-35},
    1266. 

  1266. {{7.5,0.0},26,{-3.316132176384959,1.175216078553222e-22},3.3e-16,1.2e-38},
    1267. 

  1267. {{7.5,0.0},27,{-3.455410513492717,2.456920790399526e-24},3.5e-16,2.5e-40},
    1268. 

  1268. {{7.5,0.0},30,{-3.870677968225079,1.428395516534552e-29},3.9e-16,1.4e-45},
    1269. 

  1269. {{750.0,0.0},0,{0.0,1.0},0.0,1.0e-16},
    1270. 

  1270. {{750.0,0.0},1,{-2.370366156386092e-9,0.9999982222253827},2.4e-25,1.0e-16},
    1271. 

  1271. {{750.0,0.0},2,{-7.111149036632495e-9,0.9999946666666668},7.1e-25,1.0e-16},
    1272. 

  1272. {{750.0,0.0},3,{-1.422244977838454e-8,0.9999893333048894},1.4e-24,1.0e-16},
    1273. 

  1273. {{750.0,0.0},4,{-2.370442009485271e-8,0.9999822221116056},2.4e-24,1.0e-16},
    1274. 

  1274. {{750.0,0.0},5,{-3.555726228290441e-8,0.9999733330488876},3.6e-24,1.0e-16},
    1275. 

  1275. {{750.0,0.0},6,{-4.978122923385423e-8,0.9999626660693238},5.0e-24,1.0e-16},
    1276. 

  1276. {{750.0,0.0},7,{-6.637662444695374e-8,0.9999502211160174},6.6e-24,1.0e-16},
    1277. 

  1277. {{750.0,0.0},9,{-1.066831667961402e-7,0.9999199970131551},1.1e-23,1.0e-16},
    1278. 

  1278. {{750.0,0.0},10,{-1.303951741296467e-7,0.9999022177023653},1.3e-23,1.0e-16},
    1279. 

  1279. {{750.0,0.0},11,{-1.564803301660438e-7,0.9998826600953608},1.6e-23,1.0e-16},
    1280. 

  1280. {{750.0,0.0},13,{-2.157723664366849e-7,0.9998382095658095},2.2e-23,1.0e-16},
    1281. 

  1281. {{750.0,0.0},15,{-2.845643394403806e-7,0.9997866444757059},2.8e-23,1.0e-16},
    1282. 

  1282. {{750.0,0.0},18,{-4.055777585846789e-7,0.9996959545897581},4.1e-23,1.0e-16},
    1283. 

  1283. {{750.0,0.0},20,{-4.981470663557829e-7,0.9996265979490318},5.0e-23,1.0e-16},
    1284. 

  1284. {{750.0,0.0},23,{-6.548613592135735e-7,0.999509214208777},6.5e-23,1.0e-16},
    1285. 

  1285. {{750.0,0.0},27,{-8.972010386621466e-7,0.9993277758537567},9.0e-23,1.0e-16},
    1286. 

  1286. {{750.0,0.0},31,{-1.177774468003798e-6,0.9991178354741052},1.2e-22,1.0e-16},
    1287. 

  1287. {{750.0,0.0},35,{-1.496677869172188e-6,0.9988793750988605},1.5e-22,1.0e-16},
    1288. 

  1288. {{750.0,0.0},41,{-2.047144888193513e-6,0.9984681641775919},2.0e-22,1.0e-16},
    1289. 

  1289. {{750.0,0.0},47,{-2.684530085721763e-6,0.9979926573414497},2.7e-22,1.0e-16},
    1290. 

  1290. {{750.0,0.0},54,{-3.538665052691811e-6,0.9973565130971067},3.5e-22,1.0e-16},
    1291. 

  1291. {{750.0,0.0},62,{-4.66167877599484e-6,0.9965219610000085},4.7e-22,1.0e-16},
    1292. 

  1292. {{750.0,0.0},71,{-6.114199224102281e-6,0.995445641229908},6.1e-22,1.0e-16},
    1293. 

  1293. {{750.0,0.0},81,{-7.966019118875858e-6,0.9940784839142445},8.0e-22,9.9e-17},
    1294. 

  1294. {{750.0,0.0},93,{-1.052439386120558e-5,0.9921989262833806},1.1e-21,9.9e-17},
    1295. 

  1295. {{750.0,0.0},107,{-1.398319257131103e-5,0.9896747227802658},1.4e-21,9.9e-17},
    1296. 

  1296. {{750.0,0.0},123,{-1.85801331583922e-5,0.9863495371214333},1.9e-21,9.9e-17},
    1297. 

  1297. {{750.0,0.0},141,{-2.460545852319379e-5,0.9820414628628896},2.5e-21,9.8e-17},
    1298. 

  1298. {{750.0,0.0},162,{-3.283732008329507e-5,0.9762459407035311},3.3e-21,9.8e-17},
    1299. 

  1299. {{750.0,0.0},186,{-4.393984650499915e-5,0.9685894479837102},4.4e-21,9.7e-17},
    1300. 

  1300. {{750.0,0.0},214,{-5.938763131152501e-5,0.9582299826388702},5.9e-21,9.6e-17},
    1301. 

  1301. {{750.0,0.0},246,{-8.073474076985931e-5,0.9444464104405363},8.1e-21,9.4e-17},
    1302. 

  1302. {{750.0,0.0},282,{-0.0001102220765860401,0.9263493770149564},1.1e-20,9.3e-17},
    1303. 

  1303. {{750.0,0.0},324,{-0.0001535417107431774,0.9015546195520934},1.5e-20,9.0e-17},
    1304. 

  1304. {{750.0,0.0},372,{-0.0002182987248593599,0.8679422665823035},2.2e-20,8.7e-17},
    1305. 

  1305. {{750.0,0.0},427,{-0.0003208346940924648,0.8216460566600792},3.2e-20,8.2e-17},
    1306. 

  1306. {{750.0,0.0},490,{-0.0004982395142408198,0.7564969785181947},5.0e-20,7.6e-17},
    1307. 

  1307. {{750.0,0.0},562,{-0.0008570790667505055,0.6614435312787049},8.6e-20,6.6e-17},
    1308. 

  1308. {{750.0,0.0},645,{-0.001904131277506516,0.5091945265298821},1.9e-19,5.1e-17},
    1309. 

  1309. {{750.0,0.0},740,{-0.02153290272661684,0.1649881743271759},2.2e-18,1.6e-17},
    1310. 

  1310. {{750.0,0.0},850,{-0.5317183378262854,6.265509216331858e-31},5.3e-17,6.3e-47},
    1311. 

  1311. {{133.0,-0.001},0,{0.0,1.0},0.0,1.0e-16},
    1312. 

  1312. {{133.0,-0.001},1,{-4.241809070666856e-7,0.9999434708779298},4.2e-23,1.0e-16},
    1313. 

  1313. {{133.0,-0.001},2,{-1.272830707716553e-6,0.9998304030514924},1.3e-22,1.0e-16},
    1314. 

  1314. {{133.0,-0.001},3,{-2.546525863293624e-6,0.9996607773479792},2.5e-22,1.0e-16},
    1315. 

  1315. {{133.0,-0.001},4,{-4.246132288136337e-6,0.999434564988026},4.2e-22,1.0e-16},
    1316. 

  1316. {{133.0,-0.001},5,{-6.372806820697795e-6,0.9991517275612064},6.4e-22,1.0e-16},
    1317. 

  1317. {{133.0,-0.001},6,{-8.927999192285317e-6,0.9988122169934146},8.9e-22,1.0e-16},
    1318. 

  1318. {{133.0,-0.001},7,{-1.191345449967746e-5,0.998415975505973},1.2e-21,1.0e-16},
    1319. 

  1319. {{133.0,-0.001},8,{-1.53312161895009e-5,0.9979629355663837},1.5e-21,1.0e-16},
    1320. 

  1320. {{133.0,-0.001},9,{-1.918362956391413e-5,0.9974530198306258},1.9e-21,1.0e-16},
    1321. 

  1321. {{133.0,-0.001},10,{-2.347334581885899e-5,0.9968861410768822},2.3e-21,1.0e-16},
    1322. 

  1322. {{133.0,-0.001},11,{-2.82033266279128e-5,0.9962622021305648},2.8e-21,1.0e-16},
    1323. 

  1323. {{133.0,-0.001},13,{-3.899751243405456e-5,0.9948427046860031},3.9e-21,9.9e-17},
    1324. 

  1324. {{133.0,-0.001},14,{-4.506924237052932e-5,0.9940469012749602},4.5e-21,9.9e-17},
    1325. 

  1325. {{133.0,-0.001},16,{-5.858328836559756e-5,0.9922824953784064},5.9e-21,9.9e-17},
    1326. 

  1326. {{133.0,-0.001},18,{-7.39572306222841e-5,0.9902866484034287},7.4e-21,9.9e-17},
    1327. 

  1327. {{133.0,-0.001},20,{-9.123506779977314e-5,0.9880579587964589},9.1e-21,9.9e-17},
    1328. 

  1328. {{133.0,-0.001},22,{-0.0001104668755963586,0.9855948481055402},1.1e-20,9.9e-17},
    1329. 

  1329. {{133.0,-0.001},24,{-0.0001317091794427598,0.9828955552335206},1.3e-20,9.8e-17},
    1330. 

  1330. {{133.0,-0.001},27,{-0.0001674830122968306,0.9783994546461422},1.7e-20,9.8e-17},
    1331. 

  1331. {{133.0,-0.001},30,{-0.0002081705210342073,0.9733600903147575},2.1e-20,9.7e-17},
    1332. 

  1332. {{133.0,-0.001},34,{-0.0002705675908183617,0.965781042549011},2.7e-20,9.7e-17},
    1333. 

  1333. {{133.0,-0.001},38,{-0.0003430315063385824,0.957197704294152},3.4e-20,9.6e-17},
    1334. 

  1334. {{133.0,-0.001},42,{-0.0004265554097642813,0.9475828105383111},4.3e-20,9.5e-17},
    1335. 

  1335. {{133.0,-0.001},47,{-0.0005483788074837322,0.9340647655501033},5.5e-20,9.3e-17},
    1336. 

  1336. {{133.0,-0.001},52,{-0.0006923482834232728,0.9188117180439853},6.9e-20,9.2e-17},
    1337. 

  1337. {{133.0,-0.001},58,{-0.0008997832660176108,0.8980928610136522},9.0e-20,9.0e-17},
    1338. 

  1338. {{133.0,-0.001},65,{-0.001201066717078244,0.870350908997567},1.2e-19,8.7e-17},
    1339. 

  1339. {{133.0,-0.001},72,{-0.001585774758085767,0.8383999835094454},1.6e-19,8.4e-17},
    1340. 

  1340. {{133.0,-0.001},80,{-0.002168300159243772,0.7960798023586518},2.2e-19,8.0e-17},
    1341. 

  1341. {{133.0,-0.001},89,{-0.003102982711172305,0.7397934070353813},3.1e-19,7.4e-17},
    1342. 

  1342. {{133.0,-0.001},99,{-0.004761263608818204,0.66373978050481},4.8e-19,6.6e-17},
    1343. 

  1343. {{133.0,-0.001},111,{-0.008816084470386725,0.5456857549428848},8.8e-19,5.5e-17},
    1344. 

  1344. {{133.0,-0.001},123,{-0.02217557141735218,0.3748899444758885},2.2e-18,3.7e-17},
    1345. 

  1345. {{133.0,-0.001},137,{-0.1974738030039152,0.04528720015049498},2.0e-17,4.5e-18},
    1346. 

  1346. {{133.0,-0.001},153,{-0.5603119658457765,-1.790233709951146e-5},5.6e-17,1.8e-21},
    1347. 

  1347. {{133.0,-0.001},170,{-0.7923542900597165,-1.556887877554172e-5},7.9e-17,1.6e-21},
    1348. 

  1348. {{133.0,-0.001},190,{-1.018068108577178,-1.509479127100921e-5},1.0e-16,1.5e-21},
    1349. 

  1349. {{0.0825,-0.055},0,{0.0,1.0},0.0,1.0e-16},
    1350. 

  1350. {{0.0825,-0.055},1,{-8.299924534218464,-5.64460250632658},8.3e-16,5.6e-16},
    1351. 

  1351. {{0.0825,-0.055},2,{-16.75572924644764,-11.20725820356263},1.7e-15,1.1e-15},
    1352. 

  1352. {{0.0825,-0.055},3,{-25.15832772198788,-16.79422955295859},2.5e-15,1.7e-15},
    1353. 

  1353. {{0.0825,-0.055},4,{-33.55464861977223,-22.38548342593487},3.4e-15,2.2e-15},
    1354. 

  1354. {{0.0825,-0.055},5,{-41.94887562222077,-27.97814077051338},4.2e-15,2.8e-15},
    1355. 

  1355. {{0.084,-0.056},0,{0.0,1.0},0.0,1.0e-16},
    1356. 

  1356. {{0.084,-0.056},1,{-8.148237034711196,-5.545505726081817},8.1e-16,5.5e-16},
    1357. 

  1357. {{0.084,-0.056},2,{-16.45552946498333,-11.00779778896007},1.6e-15,1.1e-15},
    1358. 

  1358. {{0.084,-0.056},3,{-24.70847741593741,-16.49472996317051},2.5e-15,1.6e-15},
    1359. 

  1359. {{0.084,-0.056},4,{-32.95503377743565,-21.98602610042692},3.3e-15,2.2e-15},
    1360. 

  1360. {{0.084,-0.056},5,{-41.19945822470811,-27.47875147585194},4.1e-15,2.7e-15},
    1361. 

  1361. {{150.0,-100.0},0,{0.0,1.0},0.0,1.0e-16},
    1362. 

  1362. {{150.0,-100.0},1,{2.843446142415215e-5,0.9999879975137707},2.8e-21,1.0e-16},
    1363. 

  1363. {{150.0,-100.0},2,{8.530546307582867e-5,0.9999639945278075},8.5e-21,1.0e-16},
    1364. 

  1364. {{150.0,-100.0},3,{0.0001706171621018294,0.9999279950163633},1.7e-20,1.0e-16},
    1365. 

  1365. {{150.0,-100.0},4,{0.0002843757930710271,0.9998800049439736},2.8e-20,1.0e-16},
    1366. 

  1366. {{150.0,-100.0},5,{0.0004265896665886721,0.9998200322692436},4.3e-20,1.0e-16},
    1367. 

  1367. {{150.0,-100.0},6,{0.0005972691674419548,0.9997480869498983},6.0e-20,1.0e-16},
    1368. 

  1368. {{150.0,-100.0},7,{0.0007964267522709527,0.9996641809490963},8.0e-20,1.0e-16},
    1369. 

  1369. {{150.0,-100.0},8,{0.00102407694675761,0.9995683282430072},1.0e-19,1.0e-16},
    1370. 

  1370. {{150.0,-100.0},9,{0.00128023634232391,0.9994605448296522},1.3e-19,1.0e-16},
    1371. 

  1371. {{150.0,-100.0},10,{0.001564923592328917,0.9993408487390114},1.6e-19,1.0e-16},
    1372. 

  1372. {{150.0,-100.0},11,{0.001878159407752843,0.9992092600443944},1.9e-19,1.0e-16},
    1373. 

  1373. {{150.0,-100.0},13,{0.002590369837289386,0.9989104954302121},2.6e-19,1.0e-16},
    1374. 

  1374. {{150.0,-100.0},14,{0.00298939611516564,0.9987433699939862},3.0e-19,1.0e-16},
    1375. 

  1375. {{150.0,-100.0},16,{0.003873435227757143,0.9983737748093285},3.9e-19,1.0e-16},
    1376. 

  1376. {{150.0,-100.0},18,{0.004872339277414041,0.9979572679518337},4.9e-19,1.0e-16},
    1377. 

  1377. {{150.0,-100.0},20,{0.005986395833822033,0.9974941365968234},6.0e-19,1.0e-16},
    1378. 

  1378. {{150.0,-100.0},23,{0.007874099052632083,0.9967127337760088},7.9e-19,1.0e-16},
    1379. 

  1379. {{150.0,-100.0},25,{0.009277503354313094,0.9961345308813246},9.3e-19,1.0e-16},
    1380. 

  1380. {{150.0,-100.0},28,{0.01160100676383971,0.9951823607169391},1.2e-18,1.0e-16},
    1381. 

  1381. {{150.0,-100.0},32,{0.01510901086355875,0.9937568640084211},1.5e-18,9.9e-17},
    1382. 

  1382. {{150.0,-100.0},36,{0.01908918342782489,0.9921571004610474},1.9e-18,9.9e-17},
    1383. 

  1383. {{150.0,-100.0},40,{0.02354587104484002,0.9903880144943982},2.4e-18,9.9e-17},
    1384. 

  1384. {{150.0,-100.0},45,{0.02979413543062971,0.9879472558178808},3.0e-18,9.9e-17},
    1385. 

  1385. {{150.0,-100.0},50,{0.03680460257368647,0.9852636279950512},3.7e-18,9.9e-17},
    1386. 

  1386. {{150.0,-100.0},56,{0.04623879299306301,0.9817437270787975},4.6e-18,9.8e-17},
    1387. 

  1387. {{150.0,-100.0},63,{0.0586796236633904,0.9772624595377325},5.9e-18,9.8e-17},
    1388. 

  1388. {{150.0,-100.0},70,{0.07269699196001319,0.9724315577932775},7.3e-18,9.7e-17},
    1389. 

  1389. {{150.0,-100.0},79,{0.09308980557940935,0.9658151551886195},9.3e-18,9.7e-17},
    1390. 

  1390. {{150.0,-100.0},88,{0.1162106157597911,0.9589010850023701},1.2e-17,9.6e-17},
    1391. 

  1391. {{150.0,-100.0},99,{0.1482499511213339,0.9503432706265742},1.5e-17,9.5e-17},
    1392. 

  1392. {{150.0,-100.0},110,{0.1844891775002465,0.942077521625097},1.8e-17,9.4e-17},
    1393. 

  1393. {{150.0,-100.0},124,{0.2366138163715955,0.9327620274359084},2.4e-17,9.3e-17},
    1394. 

  1394. {{150.0,-100.0},138,{0.2951156237977729,0.9257996281241172},3.0e-17,9.3e-17},
    1395. 

  1395. {{150.0,-100.0},155,{0.3736901981577194,0.9219460879367076},3.7e-17,9.2e-17},
    1396. 

  1396. {{150.0,-100.0},173,{0.4639503501955034,0.9246903001742347},4.6e-17,9.2e-17},
    1397. 

  1397. {{150.0,-100.0},194,{0.5752057635148606,0.937452947416621},5.8e-17,9.4e-17},
    1398. 

  1398. {{150.0,-100.0},217,{0.7005909220577101,0.9624716963509589},7.0e-17,9.6e-17},
    1399. 

  1399. {{150.0,-100.0},243,{-0.8372668920230294,-1.002095115737595},8.4e-17,1.0e-16},
    1400. 

  1400. {{10.0,-10.0},0,{0.0,1.0},0.0,1.0e-16},
    1401. 

  1401. {{10.0,-10.0},1,{0.005248618784530387,0.9997237569060773},5.2e-19,1.0e-16},
    1402. 

  1402. {{10.0,-10.0},2,{0.01576496000540011,0.99926085929326},1.6e-18,1.0e-16},
    1403. 

  1403. {{10.0,-10.0},3,{0.03157953306815653,0.9987938640293559},3.2e-18,1.0e-16},
    1404. 

  1404. {{10.0,-10.0},4,{0.05271772719957051,0.9986035515514526},5.3e-18,1.0e-16},
    1405. 

  1405. {{10.0,-10.0},5,{0.07917269592456212,0.9990724368943762},7.9e-18,1.0e-16},
    1406. 

  1406. {{10.0,-10.0},6,{0.1108667440018629,1.000679810274365},1.1e-17,1.0e-16},
    1407. 

  1407. {{10.0,-10.0},7,{0.1476044876345969,1.003978108374331},1.5e-17,1.0e-16},
    1408. 

  1408. {{10.0,-10.0},8,{0.1890305859837337,1.009540034063796},1.9e-17,1.0e-16},
    1409. 

  1409. {{10.0,-10.0},9,{0.2346175292630861,1.017876674699748},2.3e-17,1.0e-16},
    1410. 

  1410. {{10.0,-10.0},10,{0.2837081473416054,1.029355605716413},2.8e-17,1.0e-16},
    1411. 

  1411. {{10.0,-10.0},11,{0.3355933527289646,1.044168705418104},3.4e-17,1.0e-16},
    1412. 

  1412. {{10.0,-10.0},12,{0.3895580051073051,1.062328472453584},3.9e-17,1.1e-16},
    1413. 

  1413. {{10.0,-10.0},13,{0.4450081431783497,1.083603043499142},4.5e-17,1.1e-16},
    1414. 

  1414. {{10.0,-10.0},14,{0.501815914122277,1.107980255249727},5.0e-17,1.1e-16},
    1415. 

  1415. {{10.0,-10.0},15,{0.5579860841149781,1.136636649560454},5.6e-17,1.1e-16},
    1416. 

  1416. {{10.0,-10.0},16,{0.6079173861660073,1.15838569862242},6.1e-17,1.2e-16},
    1417. 

  1417. {{10.0,-10.0},17,{0.7249745452108355,1.156338322876995},7.2e-17,1.2e-16},
    1418. 

  1418. {{10.0,-10.0},19,{-0.8993949780706754,0.2814563337178175},9.0e-17,2.8e-17},
    1419. 

  1419. {{10.0,-10.0},20,{-0.5394296594876367,-1.174234377195596},5.4e-17,1.2e-16},
    1420. 

  1420. {{10.0,-10.0},22,{-0.9011787151526517,-1.351190798575714},9.0e-17,1.4e-16},
    1421. 

  1421. {{10.0,-10.0},24,{-1.010101492590554,-1.428256186534504},1.0e-16,1.4e-16},
    1422. 

  1422. {{10.0,-10.0},26,{-1.121571929623945,-1.508752930684016},1.1e-16,1.5e-16},
    1423. 

  1423. {{10.0,-10.0},28,{-1.23205736151497,-1.592267395526517},1.2e-16,1.6e-16},
    1424. 

  1424. {{10.0,-10.0},30,{-1.341605814953313,-1.678172998407567},1.3e-16,1.7e-16},
    1425. 

  1425. {{10.0,-10.0},32,{-1.450280946629746,-1.766001175742218},1.5e-16,1.8e-16},
    1426. 

  1426. {{10.0,-10.0},35,{-1.61183053709236,-1.900583633650779},1.6e-16,1.9e-16},
    1427. 

  1427. {{10.0,-10.0},38,{-1.771864654785485,-2.037807192748481},1.8e-16,2.0e-16},
    1428. 

  1428. {{10.0,-10.0},41,{-1.930627357152795,-2.177049750382095},1.9e-16,2.2e-16},
    1429. 

  1429. {{1000.0,-1000.0},0,{0.0,1.0},0.0,1.0e-16},
    1430. 

  1430. {{1000.0,-1000.0},1,{5.002499998748749e-7,0.9999999997497499},5.0e-23,1.0e-16},
    1431. 

  1431. {{1000.0,-1000.0},2,{1.500750001128378e-6,0.9999999992500011},1.5e-22,1.0e-16},
    1432. 

  1432. {{1000.0,-1000.0},3,{3.00150000676237e-6,0.9999999985022568},3.0e-22,1.0e-16},
    1433. 

  1433. {{1000.0,-1000.0},4,{5.00250002126552e-6,0.9999999975087713},5.0e-22,1.0e-16},
    1434. 

  1434. {{1000.0,-1000.0},5,{7.503750050596369e-6,0.9999999962725506},7.5e-22,1.0e-16},
    1435. 

  1435. {{1000.0,-1000.0},6,{1.050525010216073e-5,0.9999999947973524},1.1e-21,1.0e-16},
    1436. 

  1436. {{1000.0,-1000.0},7,{1.400700018478347e-5,0.9999999930876855},1.4e-21,1.0e-16},
    1437. 

  1437. {{1000.0,-1000.0},8,{1.80090003086746e-5,0.9999999911488105},1.8e-21,1.0e-16},
    1438. 

  1438. {{1000.0,-1000.0},9,{2.251125048538976e-5,0.9999999889867394},2.3e-21,1.0e-16},
    1439. 

  1439. {{1000.0,-1000.0},10,{2.751375072778502e-5,0.9999999866082357},2.8e-21,1.0e-16},
    1440. 

  1440. {{1000.0,-1000.0},12,{3.901950146723182e-5,0.9999999812327419},3.9e-21,1.0e-16},
    1441. 

  1441. {{1000.0,-1000.0},14,{5.252625265379987e-5,0.9999999750914671},5.3e-21,1.0e-16},
    1442. 

  1442. {{1000.0,-1000.0},17,{7.653825559050745e-5,0.9999999646245457},7.7e-21,1.0e-16},
    1443. 

  1443. {{1000.0,-1000.0},19,{9.50475085548141e-5,0.9999999569502054},9.5e-21,1.0e-16},
    1444. 

  1444. {{1000.0,-1000.0},23,{0.0001380690176877228,0.9999999404374454},1.4e-20,1.0e-16},
    1445. 

  1445. {{1000.0,-1000.0},26,{0.0001755877780627563,0.9999999275491787},1.8e-20,1.0e-16},
    1446. 

  1446. {{1000.0,-1000.0},31,{0.0002481240538761745,0.9999999066273459},2.5e-20,1.0e-16},
    1447. 

  1447. {{1000.0,-1000.0},36,{0.0003331665924905277,0.9999998888054551},3.3e-20,1.0e-16},
    1448. 

  1448. {{1000.0,-1000.0},42,{0.0004517259080236875,0.9999998760411714},4.5e-20,1.0e-16},
    1449. 

  1449. {{1000.0,-1000.0},49,{0.0006128065106595112,0.9999998812438183},6.1e-20,1.0e-16},
    1450. 

  1450. {{1000.0,-1000.0},57,{0.0008269136514533391,0.9999999283645704},8.3e-20,1.0e-16},
    1451. 

  1451. {{1000.0,-1000.0},66,{0.001106053297345146,1.000000058709072},1.1e-19,1.0e-16},
    1452. 

  1452. {{1000.0,-1000.0},76,{0.001463732074818832,1.000000339729926},1.5e-19,1.0e-16},
    1453. 

  1453. {{1000.0,-1000.0},89,{0.002003501241446182,1.00000100626577},2.0e-19,1.0e-16},
    1454. 

  1454. {{1000.0,-1000.0},103,{0.002679336553435393,1.000002252009418},2.7e-19,1.0e-16},
    1455. 

  1455. {{1000.0,-1000.0},120,{0.003631804208493562,1.000004783888611},3.6e-19,1.0e-16},
    1456. 

  1456. {{1000.0,-1000.0},140,{0.004937431601678478,1.000009730130343},4.9e-19,1.0e-16},
    1457. 

  1457. {{1000.0,-1000.0},162,{0.006604700059646334,1.000018527158795},6.6e-19,1.0e-16},
    1458. 

  1458. {{1000.0,-1000.0},188,{0.008887168831051061,1.000035082076778},8.9e-19,1.0e-16},
    1459. 

  1459. {{1000.0,-1000.0},219,{0.01205029096912418,1.000066644828964},1.2e-18,1.0e-16},
    1460. 

  1460. {{1000.0,-1000.0},254,{0.01619872875543901,1.00012321763168},1.6e-18,1.0e-16},
    1461. 

  1461. {{1000.0,-1000.0},296,{0.02198414801697587,1.000230868479618},2.2e-18,1.0e-16},
    1462. 

  1462. {{1000.0,-1000.0},343,{0.0295007538861353,1.000420741081373},3.0e-18,1.0e-16},
    1463. 

  1463. {{1000.0,-1000.0},399,{0.03988973871930298,1.000776155171264},4.0e-18,1.0e-16},
    1464. 

  1464. {{1000.0,-1000.0},464,{0.05389147263032123,1.001425680692332},5.4e-18,1.0e-16},
    1465. 

  1465. {{1000.0,-1000.0},539,{0.07261495734101143,1.002599550120942},7.3e-18,1.0e-16},
    1466. 

  1466. {{1000.0,-1000.0},626,{0.09771742312686885,1.004719471621162},9.8e-18,1.0e-16},
    1467. 

  1467. {{1000.0,-1000.0},727,{0.1312681162339697,1.008523139202996},1.3e-17,1.0e-16},
    1468. 

  1468. {{1000.0,-1000.0},844,{0.1757152277012519,1.015251014995986},1.8e-17,1.0e-16},
    1469. 

  1469. {{1000.0,-1000.0},981,{0.2346210439458071,1.027070994847392},2.3e-17,1.0e-16},
    1470. 

  1470. {{1000.0,-1000.0},1139,{0.310242150570885,1.046923754788218},3.1e-17,1.0e-16},
    1471. 

  1471. {{1000.0,-1000.0},1324,{0.4065485659742559,1.079379293699889},4.1e-17,1.1e-16},
    1472. 

  1472. {{1000.0,-1000.0},1537,{0.5238285464936798,1.128789284742771},5.2e-17,1.1e-16},
    1473. 

  1473. {{3.1415926535897932384626433832795,1.0},0,{0.0,1.0},0.0,1.0e-16},
    1474. 

  1474. {{3.1415926535897932384626433832795,1.0},1,{-0.06251630699709114,0.9477994487793748},6.3e-18,9.5e-17},
    1475. 

  1475. {{3.1415926535897932384626433832795,1.0},2,{-0.1993072788546101,0.8531900095151634},2.0e-17,8.5e-17},
    1476. 

  1476. {{3.1415926535897932384626433832795,1.0},3,{-0.4250048427987419,0.7441066728565163},4.3e-17,7.4e-17},
    1477. 

  1477. {{3.1415926535897932384626433832795,1.0},4,{-0.732970145336424,0.6656174851647074},7.3e-17,6.7e-17},
    1478. 

  1478. {{3.1415926535897932384626433832795,1.0},5,{-1.08278269453961,0.6472539339383757},1.1e-16,6.5e-17},
    1479. 

  1479. {{3.1415926535897932384626433832795,1.0},6,{-1.43362627283477,0.679940990204645},1.4e-16,6.8e-17},
    1480. 

  1480. {{3.1415926535897932384626433832795,1.0},7,{-1.770899442294511,0.740619231882773},1.8e-16,7.4e-17},
    1481. 

  1481. {{3.1415926535897932384626433832795,1.0},8,{-2.095618066175717,0.8143235969818497},2.1e-16,8.1e-17},
    1482. 

  1482. {{3.1415926535897932384626433832795,1.0},9,{-2.411515925955501,0.8943330536362011},2.4e-16,8.9e-17},
    1483. 

  1483. {{3.1415926535897932384626433832795,1.0},10,{-2.721411660633082,0.9777768447997573},2.7e-16,9.8e-17},
    1484. 

  1484. {{3.1415926535897932384626433832795,1.0},11,{-3.027111835462814,1.063309103434412},3.0e-16,1.1e-16},
    1485. 

  1485. {{3.1415926535897932384626433832795,1.0},12,{-3.329774296663247,1.150219377275063},3.3e-16,1.2e-16},
    1486. 

  1486. {{3.1415926535897932384626433832795,1.0},13,{-3.630166763486228,1.238094014261377},3.6e-16,1.2e-16},
    1487. 

  1487. {{3.1415926535897932384626433832795,1.0},14,{-3.928817217085426,1.326673720493934},3.9e-16,1.3e-16},
    1488. 

  1488. {{3.1415926535897932384626433832795,1.0},15,{-4.226100742557146,1.415786610072522},4.2e-16,1.4e-16},
    1489. 

  1489. {{3.1415926535897932384626433832795,1.0},16,{-4.522291311689719,1.505313665423152},4.5e-16,1.5e-16},
    1490. 

  1490. {{3.1415926535897932384626433832795,1.0},17,{-4.817593843830251,1.595169551324783},4.8e-16,1.6e-16},
    1491. 

  1491. {{3.1415926535897932384626433832795,1.0},18,{-5.112164766973625,1.685291310034281},5.1e-16,1.7e-16},
    1492. 

  1492. {{3.1415926535897932384626433832795,1.0},20,{-5.699572318128605,1.86615306493475},5.7e-16,1.9e-16},
    1493. 

  1493. {{3.1415926535897932384626433832795,-1.0},0,{0.0,1.0},0.0,1.0e-16},
    1494. 

  1494. {{3.1415926535897932384626433832795,-1.0},1,{0.02928440396155443,0.9080003316496248},2.9e-18,9.1e-17},
    1495. 

  1495. {{3.1415926535897932384626433832795,-1.0},2,{0.08686096294325136,0.6932350497357215},8.7e-18,6.9e-17},
    1496. 

  1496. {{3.1415926535897932384626433832795,-1.0},3,{0.129593762002164,0.2569905912786052},1.3e-17,2.6e-17},
    1497. 

  1497. {{3.1415926535897932384626433832795,-1.0},4,{-0.1931864444190348,-0.4721297506062996},1.9e-17,4.7e-17},
    1498. 

  1498. {{3.1415926535897932384626433832795,-1.0},5,{-0.9840117916723234,-0.7223527259580676},9.8e-17,7.2e-17},
    1499. 

  1499. {{3.1415926535897932384626433832795,-1.0},6,{-1.432549770240603,-0.6933978907024246},1.4e-16,6.9e-17},
    1500. 

  1500. {{3.1415926535897932384626433832795,-1.0},7,{-1.7714991318698,-0.7413996415564684},1.8e-16,7.4e-17},
    1501. 

  1501. {{3.1415926535897932384626433832795,-1.0},8,{-2.095668988123536,-0.8143350626244337},2.1e-16,8.1e-17},
    1502. 

  1502. {{3.1415926535897932384626433832795,-1.0},9,{-2.411517823183765,-0.8943321341670904},2.4e-16,8.9e-17},
    1503. 

  1503. {{3.1415926535897932384626433832795,-1.0},10,{-2.721411690445026,-0.9777767846393321},2.7e-16,9.8e-17},
    1504. 

  1504. {{3.1415926535897932384626433832795,-1.0},11,{-3.027111835135135,-1.063309101734231},3.0e-16,1.1e-16},
    1505. 

  1505. {{3.1415926535897932384626433832795,-1.0},12,{-3.329774296635885,-1.150219377250264},3.3e-16,1.2e-16},
    1506. 

  1506. {{3.1415926535897932384626433832795,-1.0},13,{-3.630166763485569,-1.238094014261313},3.6e-16,1.2e-16},
    1507. 

  1507. {{3.1415926535897932384626433832795,-1.0},14,{-3.928817217085417,-1.326673720493939},3.9e-16,1.3e-16},
    1508. 

  1508. {{3.1415926535897932384626433832795,-1.0},15,{-4.226100742557146,-1.415786610072522},4.2e-16,1.4e-16},
    1509. 

  1509. {{3.1415926535897932384626433832795,-1.0},16,{-4.522291311689719,-1.505313665423152},4.5e-16,1.5e-16},
    1510. 

  1510. {{3.1415926535897932384626433832795,-1.0},17,{-4.817593843830251,-1.595169551324783},4.8e-16,1.6e-16},
    1511. 

  1511. {{3.1415926535897932384626433832795,-1.0},18,{-5.112164766973625,-1.685291310034281},5.1e-16,1.7e-16},
    1512. 

  1512. {{3.1415926535897932384626433832795,-1.0},20,{-5.699572318128605,-1.86615306493475},5.7e-16,1.9e-16},
    1513. 

  1513. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},0,{0.0,1.0},0.0,1.0e-16},
    1514. 

  1514. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},1,{-0.04289608605369503,1.005889742502008},4.3e-18,1.0e-16},
    1515. 

  1515. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},2,{-0.1265843669144689,1.021185477784211},1.3e-17,1.0e-16},
    1516. 

  1516. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},3,{-0.2461017690239896,1.051478210098679},2.5e-17,1.1e-16},
    1517. 

  1517. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},4,{-0.3933702136403589,1.101805077210028},3.9e-17,1.1e-16},
    1518. 

  1518. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},5,{-0.5586511595063471,1.174164983232143},5.6e-17,1.2e-16},
    1519. 

  1519. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},6,{-0.7331261304823775,1.266931962958461},7.3e-17,1.3e-16},
    1520. 

  1520. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},7,{-0.9106792715218229,1.37626988019572},9.1e-17,1.4e-16},
    1521. 

  1521. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},8,{-1.087995298043971,1.497976093488255},1.1e-16,1.5e-16},
    1522. 

  1522. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},9,{-1.26368733478633,1.628544496408829},1.3e-16,1.6e-16},
    1523. 

  1523. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},10,{-1.437390481937206,1.765407620692137},1.4e-16,1.8e-16},
    1524. 

  1524. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},11,{-1.609181049298416,1.906788769876057},1.6e-16,1.9e-16},
    1525. 

  1525. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},12,{-1.779284849363435,2.051476559480434},1.8e-16,2.1e-16},
    1526. 

  1526. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},13,{-1.947952312529445,2.198638967049534},1.9e-16,2.2e-16},
    1527. 

  1527. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},14,{-2.115412657262518,2.347694364924573},2.1e-16,2.3e-16},
    1528. 

  1528. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},15,{-2.281861382871444,2.498227394610696},2.3e-16,2.5e-16},
    1529. 

  1529. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},16,{-2.447460450242275,2.649934919526228},2.4e-16,2.6e-16},
    1530. 

  1530. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},17,{-2.612342561555377,2.802591095407883},2.6e-16,2.8e-16},
    1531. 

  1531. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},18,{-2.776616194257877,2.956024444567054},2.8e-16,3.0e-16},
    1532. 

  1532. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},20,{-3.103677730388636,3.264721414005422},3.1e-16,3.3e-16},
    1533. 

  1533. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},21,{-3.266599244986335,3.419798501147436},3.3e-16,3.4e-16},
    1534. 

  1534. {{3.1415926535897932384626433832795,3.1415926535897932384626433832795},22,{-3.429185109298575,3.575267226381691},3.4e-16,3.6e-16},
    1535. 

  1535. {{6.2831853071795862319959269370884,-1.0},0,{0.0,1.0},0.0,1.0e-16},
    1536. 

  1536. {{6.2831853071795862319959269370884,-1.0},1,{0.003931846957247721,0.9752954769681424},3.9e-19,9.8e-17},
    1537. 

  1537. {{6.2831853071795862319959269370884,-1.0},2,{0.01178778098973166,0.9239615905151865},1.2e-18,9.2e-17},
    1538. 

  1538. {{6.2831853071795862319959269370884,-1.0},3,{0.02329539479618705,0.841424212844665},2.3e-18,8.4e-17},
    1539. 

  1539. {{6.2831853071795862319959269370884,-1.0},4,{0.03682959379389238,0.7185025691605204},3.7e-18,7.2e-17},
    1540. 

  1540. {{6.2831853071795862319959269370884,-1.0},5,{0.04481637411410787,0.5371663089338025},4.5e-18,5.4e-17},
    1541. 

  1541. {{6.2831853071795862319959269370884,-1.0},6,{0.01459255193802049,0.2667761946934352},1.5e-18,2.7e-17},
    1542. 

  1542. {{6.2831853071795862319959269370884,-1.0},7,{-0.1607940300198065,-0.09188619932509611},1.6e-17,9.2e-18},
    1543. 

  1543. {{6.2831853071795862319959269370884,-1.0},8,{-0.5579504118636914,-0.3387942804714765},5.6e-17,3.4e-17},
    1544. 

  1544. {{6.2831853071795862319959269370884,-1.0},9,{-0.9244229427611135,-0.3579875585692874},9.2e-17,3.6e-17},
    1545. 

  1545. {{6.2831853071795862319959269370884,-1.0},10,{-1.171200204612873,-0.3401289272437849},1.2e-16,3.4e-17},
    1546. 

  1546. {{6.2831853071795862319959269370884,-1.0},11,{-1.37508608462511,-0.3423969579768689},1.4e-16,3.4e-17},
    1547. 

  1547. {{6.2831853071795862319959269370884,-1.0},12,{-1.565395784656673,-0.3551116134192908},1.6e-16,3.6e-17},
    1548. 

  1548. {{6.2831853071795862319959269370884,-1.0},13,{-1.748425846404238,-0.3720163239527605},1.7e-16,3.7e-17},
    1549. 

  1549. {{6.2831853071795862319959269370884,-1.0},14,{-1.926390361766107,-0.391030316077631},1.9e-16,3.9e-17},
    1550. 

  1550. {{6.2831853071795862319959269370884,-1.0},15,{-2.100611149363269,-0.4113324775120068},2.1e-16,4.1e-17},
    1551. 

  1551. {{6.2831853071795862319959269370884,-1.0},16,{-2.271978855394655,-0.4325025916882605},2.3e-16,4.3e-17},
    1552. 

  1552. {{6.2831853071795862319959269370884,-1.0},18,{-2.608469851298484,-0.4765432487673419},2.6e-16,4.8e-17},
    1553. 

  1553. {{6.2831853071795862319959269370884,-1.0},19,{-2.774374125145401,-0.4991481353598902},2.8e-16,5.0e-17},
    1554. 

  1554. {{6.2831853071795862319959269370884,-1.0},20,{-2.939080962634986,-0.5220318339355317},2.9e-16,5.2e-17},
    1555. 

  1555. {{6.2831853071795862319959269370884,-1.0},22,{-3.265643862194712,-0.56843085660439},3.3e-16,5.7e-17},
    1556. 

  1556. {{6.2831853071795862319959269370884,-1.0},23,{-3.427777831706615,-0.5918741791259039},3.4e-16,5.9e-17},
    1557. 

  1557. {{6.2831853071795862319959269370884,-1.0},25,{-3.750257209199445,-0.6391251649246937},3.8e-16,6.4e-17},
    1558. 

  1558. {{6.2831853071795862319959269370884,-1.0},26,{-3.910752977720189,-0.6628981349489083},3.9e-16,6.6e-17},
    1559. 

  1559. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},0,{0.0,1.0},0.0,1.0e-16},
    1560. 

  1560. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},1,{-0.01637478695014086,0.9905292850317945},1.6e-18,9.9e-17},
    1561. 

  1561. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},2,{-0.04980087627017362,0.9722307558129726},5.0e-18,9.7e-17},
    1562. 

  1562. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},3,{-0.1015090337393254,0.9465663881070201},1.0e-17,9.5e-17},
    1563. 

  1563. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},4,{-0.172949229136423,0.9161101257264401},1.7e-17,9.2e-17},
    1564. 

  1564. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},5,{-0.2651206177152717,0.8847668405120703},2.7e-17,8.8e-17},
    1565. 

  1565. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},6,{-0.3776003562568451,0.8575457214749106},3.8e-17,8.6e-17},
    1566. 

  1566. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},7,{-0.5077272342885332,0.8395456242436236},5.1e-17,8.4e-17},
    1567. 

  1567. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},8,{-0.6507173089214951,0.8343944242890056},6.5e-17,8.3e-17},
    1568. 

  1568. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},9,{-0.8009751014809687,0.8431592161745789},8.0e-17,8.4e-17},
    1569. 

  1569. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},10,{-0.9537418889305799,0.864554677181108},9.5e-17,8.6e-17},
    1570. 

  1570. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},11,{-1.105961091834413,0.8960951648054553},1.1e-16,9.0e-17},
    1571. 

  1571. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},12,{-1.256157424357276,0.9352073393504297},1.3e-16,9.4e-17},
    1572. 

  1572. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},13,{-1.403875529392405,0.9797877843479927},1.4e-16,9.8e-17},
    1573. 

  1573. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},14,{-1.549168129100615,1.02830055390916},1.5e-16,1.0e-16},
    1574. 

  1574. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},15,{-1.692284051392539,1.079676237510791},1.7e-16,1.1e-16},
    1575. 

  1575. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},16,{-1.833516950412929,1.133178106606117},1.8e-16,1.1e-16},
    1576. 

  1576. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},17,{-1.973144021666479,1.188294020548408},2.0e-16,1.2e-16},
    1577. 

  1577. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},19,{-2.248507874013405,1.302018460543744},2.2e-16,1.3e-16},
    1578. 

  1578. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},20,{-2.384616726790979,1.360171448495856},2.4e-16,1.4e-16},
    1579. 

  1579. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},22,{-2.654392752188639,1.478316329319233},2.7e-16,1.5e-16},
    1580. 

  1580. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},23,{-2.788272523600718,1.53810912969502},2.8e-16,1.5e-16},
    1581. 

  1581. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},25,{-3.05442272767237,1.658785490026429},3.1e-16,1.7e-16},
    1582. 

  1582. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},27,{-3.318830366257712,1.78059624870022},3.3e-16,1.8e-16},
    1583. 

  1583. {{6.2831853071795862319959269370884,3.1415926535897932384626433832795},29,{-3.581862130100558,1.903267755210881},3.6e-16,1.9e-16},
    1584. 

  1584. {{6.2831853071795862319959269370884,1.0},0,{0.0,1.0},0.0,1.0e-16},
    1585. 

  1585. {{6.2831853071795862319959269370884,1.0},1,{-0.0107103550235295,0.97870468885667},1.1e-18,9.8e-17},
    1586. 

  1586. {{6.2831853071795862319959269370884,1.0},2,{-0.03362513398684257,0.9355922315987426},3.4e-18,9.4e-17},
    1587. 

  1587. {{6.2831853071795862319959269370884,1.0},3,{-0.07215247140260382,0.8699089855443275},7.2e-18,8.7e-17},
    1588. 

  1588. {{6.2831853071795862319959269370884,1.0},4,{-0.1324003193922573,0.7816245319680321},1.3e-17,7.8e-17},
    1589. 

  1589. {{6.2831853071795862319959269370884,1.0},5,{-0.2237229202421749,0.6738669791565766},2.2e-17,6.7e-17},
    1590. 

  1590. {{6.2831853071795862319959269370884,1.0},6,{-0.3566827737268949,0.5572280064731737},3.6e-17,5.6e-17},
    1591. 

  1591. {{6.2831853071795862319959269370884,1.0},7,{-0.534881214573448,0.4520353301037817},5.3e-17,4.5e-17},
    1592. 

  1592. {{6.2831853071795862319959269370884,1.0},8,{-0.7453172985703958,0.3791789032364014},7.5e-17,3.8e-17},
    1593. 

  1593. {{6.2831853071795862319959269370884,1.0},9,{-0.9643357843499773,0.3438258795491612},9.6e-17,3.4e-17},
    1594. 

  1594. {{6.2831853071795862319959269370884,1.0},10,{-1.175625522079248,0.3354693797128221},1.2e-16,3.4e-17},
    1595. 

  1595. {{6.2831853071795862319959269370884,1.0},11,{-1.375335050387865,0.3416989205502342},1.4e-16,3.4e-17},
    1596. 

  1596. {{6.2831853071795862319959269370884,1.0},12,{-1.565392601516738,0.3550436439844526},1.6e-16,3.6e-17},
    1597. 

  1597. {{6.2831853071795862319959269370884,1.0},13,{-1.748423760549718,0.3720116512461041},1.7e-16,3.7e-17},
    1598. 

  1598. {{6.2831853071795862319959269370884,1.0},14,{-1.926390134893502,0.3910300876389843},1.9e-16,3.9e-17},
    1599. 

  1599. {{6.2831853071795862319959269370884,1.0},15,{-2.100611133732458,0.4113324702563825},2.1e-16,4.1e-17},
    1600. 

  1600. {{6.2831853071795862319959269370884,1.0},16,{-2.271978854602206,0.4325025916197443},2.3e-16,4.3e-17},
    1601. 

  1601. {{6.2831853071795862319959269370884,1.0},18,{-2.608469851297546,0.4765432487679804},2.6e-16,4.8e-17},
    1602. 

  1602. {{6.2831853071795862319959269370884,1.0},19,{-2.774374125145379,0.499148135359919},2.8e-16,5.0e-17},
    1603. 

  1603. {{6.2831853071795862319959269370884,1.0},20,{-2.939080962634986,0.5220318339355327},2.9e-16,5.2e-17},
    1604. 

  1604. {{6.2831853071795862319959269370884,1.0},22,{-3.265643862194712,0.56843085660439},3.3e-16,5.7e-17},
    1605. 

  1605. {{6.2831853071795862319959269370884,1.0},23,{-3.427777831706615,0.5918741791259039},3.4e-16,5.9e-17},
    1606. 

  1606. {{6.2831853071795862319959269370884,1.0},25,{-3.750257209199445,0.6391251649246937},3.8e-16,6.4e-17},
    1607. 

  1607. {{6.2831853071795862319959269370884,1.0},26,{-3.910752977720189,0.6628981349489083},3.9e-16,6.6e-17},
    1608. 

  1608. {{3.1415926535897932384626433832795,0.0},0,{0.0,1.0},0.0,1.0e-16},
    1609. 

  1609. {{3.1415926535897932384626433832795,0.0},1,{-0.02928440396155443,0.9080003316496248},2.9e-18,9.1e-17},
    1610. 

  1610. {{3.1415926535897932384626433832795,0.0},2,{-0.111414420013723,0.7161490362627657},1.1e-17,7.2e-17},
    1611. 

  1611. {{3.1415926535897932384626433832795,0.0},3,{-0.3086445141021306,0.4340404684115407},3.1e-17,4.3e-17},
    1612. 

  1612. {{3.1415926535897932384626433832795,0.0},4,{-0.6853420975491589,0.1613084612168837},6.9e-17,1.6e-17},
    1613. 

  1613. {{3.1415926535897932384626433832795,0.0},5,{-1.154547531604494,0.03095979893899376},1.2e-16,3.1e-18},
    1614. 

  1614. {{3.1415926535897932384626433832795,0.0},6,{-1.583565196074497,0.003296559784896674},1.6e-16,3.3e-19},
    1615. 

  1615. {{3.1415926535897932384626433832795,0.0},7,{-1.965821634628246,0.0002268900069871888},2.0e-16,2.3e-20},
    1616. 

  1616. {{3.1415926535897932384626433832795,0.0},8,{-2.324862655057826,1.114344043688996e-5},2.3e-16,1.1e-21},
    1617. 

  1617. {{3.1415926535897932384626433832795,0.0},9,{-2.672097814251784,4.137546472473845e-7},2.7e-16,4.1e-23},
    1618. 

  1618. {{3.1415926535897932384626433832795,0.0},10,{-3.012310405818385,1.206868381771849e-8},3.0e-16,1.2e-24},
    1619. 

  1619. {{3.1415926535897932384626433832795,0.0},11,{-3.347886623965971,2.84447322718975e-10},3.3e-16,2.8e-26},
    1620. 

  1620. {{3.1415926535897932384626433832795,0.0},12,{-3.680202022452916,5.536734412459245e-12},3.7e-16,5.5e-28},
    1621. 

  1621. {{3.1415926535897932384626433832795,0.0},13,{-4.010122340785055,9.05809239443902e-14},4.0e-16,9.1e-30},
    1622. 

  1622. {{3.1415926535897932384626433832795,0.0},14,{-4.338225297702631,1.263667883273076e-15},4.3e-16,1.3e-31},
    1623. 

  1623. {{3.1415926535897932384626433832795,0.0},15,{-4.66491342262249,1.521676227453879e-17},4.7e-16,1.5e-33},
    1624. 

  1624. {{3.1415926535897932384626433832795,0.0},16,{-4.990476814065978,1.598129828453938e-19},5.0e-16,1.6e-35},
    1625. 

  1625. {{3.1415926535897932384626433832795,0.0},17,{-5.315130348653373,1.4770651858539e-21},5.3e-16,1.5e-37},
    1626. 

  1626. {{3.1415926535897932384626433832795,0.0},18,{-5.639036854808338,1.21085227329631e-23},5.6e-16,1.2e-39},
    1627. 

  1627. {{3.1415926535897932384626433832795,0.0},20,{-6.285084985730819,5.832688628117013e-28},6.3e-16,5.8e-44},
    1628. 

  1628. {{3.141592653589793,0.0},0,{0.0,1.0},0.0,1.0e-16},
    1629. 

  1629. {{3.141592653589793,0.0},1,{-0.02928440396155444,0.9080003316496248},2.9e-18,9.1e-17},
    1630. 

  1630. {{3.141592653589793,0.0},2,{-0.111414420013723,0.7161490362627657},1.1e-17,7.2e-17},
    1631. 

  1631. {{3.141592653589793,0.0},3,{-0.3086445141021306,0.4340404684115406},3.1e-17,4.3e-17},
    1632. 

  1632. {{3.141592653589793,0.0},4,{-0.685342097549159,0.1613084612168837},6.9e-17,1.6e-17},
    1633. 

  1633. {{3.141592653589793,0.0},5,{-1.154547531604494,0.03095979893899374},1.2e-16,3.1e-18},
    1634. 

  1634. {{3.141592653589793,0.0},6,{-1.583565196074497,0.003296559784896672},1.6e-16,3.3e-19},
    1635. 

  1635. {{3.141592653589793,0.0},7,{-1.965821634628247,0.0002268900069871886},2.0e-16,2.3e-20},
    1636. 

  1636. {{3.141592653589793,0.0},8,{-2.324862655057826,1.114344043688994e-5},2.3e-16,1.1e-21},
    1637. 

  1637. {{3.141592653589793,0.0},9,{-2.672097814251784,4.13754647247384e-7},2.7e-16,4.1e-23},
    1638. 

  1638. {{3.141592653589793,0.0},10,{-3.012310405818385,1.206868381771847e-8},3.0e-16,1.2e-24},
    1639. 

  1639. {{3.141592653589793,0.0},11,{-3.347886623965971,2.844473227189745e-10},3.3e-16,2.8e-26},
    1640. 

  1640. {{3.141592653589793,0.0},12,{-3.680202022452917,5.536734412459235e-12},3.7e-16,5.5e-28},
    1641. 

  1641. {{3.141592653589793,0.0},13,{-4.010122340785055,9.058092394439002e-14},4.0e-16,9.1e-30},
    1642. 

  1642. {{3.141592653589793,0.0},14,{-4.338225297702632,1.263667883273073e-15},4.3e-16,1.3e-31},
    1643. 

  1643. {{3.141592653589793,0.0},15,{-4.664913422622491,1.521676227453876e-17},4.7e-16,1.5e-33},
    1644. 

  1644. {{3.141592653589793,0.0},16,{-4.990476814065978,1.598129828453934e-19},5.0e-16,1.6e-35},
    1645. 

  1645. {{3.141592653589793,0.0},17,{-5.315130348653373,1.477065185853896e-21},5.3e-16,1.5e-37},
    1646. 

  1646. {{3.141592653589793,0.0},18,{-5.639036854808339,1.210852273296306e-23},5.6e-16,1.2e-39},
    1647. 

  1647. {{3.141592653589793,0.0},20,{-6.285084985730819,5.832688628116996e-28},6.3e-16,5.8e-44},
    1648. 

  1648. };
    1649. 

  1649. 

  1650. // complex(z), n, complex(f(n,z)), abs_err_real, abs_err_imag
    1651. 

  1651. std::vector< std::tuple< std::complex<double>, int, std::complex<double>, double, double > >
    1652. 

  1652. psi_test_16digits
    1653. 

  1653. = {
    1654. 

  1654. {{0.055,0.0},0,{0.05497227502706773,0.0},5.5e-18,0.0},
    1655. 

  1655. {{0.055,0.0},1,{0.001008028345451298,0.0},1.0e-19,0.0},
    1656. 

  1656. {{0.055,0.0},2,{1.108927027577585e-5,0.0},1.1e-21,0.0},
    1657. 

  1657. {{0.055,0.0},3,{8.713416468907156e-8,0.0},8.7e-24,0.0},
    1658. 

  1658. {{0.055,0.0},4,{5.325028332528807e-10,0.0},5.3e-26,0.0},
    1659. 

  1659. {{0.055,0.0},5,{2.662570490744701e-12,0.0},2.7e-28,0.0},
    1660. 

  1660. {{0.056,0.0},0,{0.05597073525575547,0.0},5.6e-18,0.0},
    1661. 

  1661. {{0.056,0.0},1,{0.00104500555351332,0.0},1.0e-19,0.0},
    1662. 

  1662. {{0.056,0.0},2,{1.170511102950751e-5,0.0},1.2e-21,0.0},
    1663. 

  1663. {{0.056,0.0},3,{9.364554985109859e-8,0.0},9.4e-24,0.0},
    1664. 

  1664. {{0.056,0.0},4,{5.827018798125993e-10,0.0},5.8e-26,0.0},
    1665. 

  1665. {{0.056,0.0},5,{2.966547354864994e-12,0.0},3.0e-28,0.0},
    1666. 

  1666. {{0.099,0.0},0,{0.09883836273067998,0.0},9.9e-18,0.0},
    1667. 

  1667. {{0.099,0.0},1,{0.003263799133906297,0.0},3.3e-19,0.0},
    1668. 

  1668. {{0.099,0.0},2,{6.464132708660462e-5,0.0},6.5e-21,0.0},
    1669. 

  1669. {{0.099,0.0},3,{9.143553161581762e-7,0.0},9.1e-23,0.0},
    1670. 

  1670. {{0.099,0.0},4,{1.005890437753418e-8,0.0},1.0e-24,0.0},
    1671. 

  1671. {{0.101,0.0},0,{0.100828370729568,0.0},1.0e-17,0.0},
    1672. 

  1672. {{0.101,0.0},1,{0.003396865916775768,0.0},3.4e-19,0.0},
    1673. 

  1673. {{0.101,0.0},2,{6.863669941520236e-5,0.0},6.9e-21,0.0},
    1674. 

  1674. {{0.101,0.0},3,{9.904899174185251e-7,0.0},9.9e-23,0.0},
    1675. 

  1675. {{0.101,0.0},4,{1.111664350730229e-8,0.0},1.1e-24,0.0},
    1676. 

  1676. {{1.0,0.0},0,{0.8414709848078965,0.0},8.4e-17,0.0},
    1677. 

  1677. {{1.0,0.0},1,{0.3011686789397568,0.0},3.0e-17,0.0},
    1678. 

  1678. {{1.0,0.0},2,{0.06203505201137386,0.0},6.2e-18,0.0},
    1679. 

  1679. {{1.0,0.0},3,{0.009006581117112516,0.0},9.0e-19,0.0},
    1680. 

  1680. {{1.0,0.0},4,{0.001011015808413753,0.0},1.0e-19,0.0},
    1681. 

  1681. {{1.0,0.0},5,{9.256115861125816e-5,0.0},9.3e-21,0.0},
    1682. 

  1682. {{1.0,0.0},6,{7.156936310087086e-6,0.0},7.2e-22,0.0},
    1683. 

  1683. {{1.0,0.0},7,{4.790134198739489e-7,0.0},4.8e-23,0.0},
    1684. 

  1684. {{1.0,0.0},8,{2.826498802214729e-8,0.0},2.8e-24,0.0},
    1685. 

  1685. {{1.0,0.0},9,{1.491376502555146e-9,0.0},1.5e-25,0.0},
    1686. 

  1686. {{1.0,0.0},10,{7.116552640047313e-11,0.0},7.1e-27,0.0},
    1687. 

  1687. {{1.0,0.0},11,{3.09955185479008e-12,0.0},3.1e-28,0.0},
    1688. 

  1688. {{1.0,0.0},12,{1.241662596987106e-13,0.0},1.2e-29,0.0},
    1689. 

  1689. {{1.0,0.0},13,{4.604637677683787e-15,0.0},4.6e-31,0.0},
    1690. 

  1690. {{1.0,0.0},14,{1.589575987516976e-16,0.0},1.6e-32,0.0},
    1691. 

  1691. {{1.0,0.0},15,{5.132686115443762e-18,0.0},5.1e-34,0.0},
    1692. 

  1692. {{1.0,0.0},16,{1.556708270590172e-19,0.0},1.6e-35,0.0},
    1693. 

  1693. {{1.0,0.0},17,{4.451177503806802e-21,0.0},4.5e-37,0.0},
    1694. 

  1694. {{1.0,0.0},19,{3.088742363539549e-24,0.0},3.1e-40,0.0},
    1695. 

  1695. {{1.0,0.0},20,{7.537795722236873e-26,0.0},7.5e-42,0.0},
    1696. 

  1696. {{1.0,0.0},22,{3.899361309912283e-29,0.0},3.9e-45,0.0},
    1697. 

  1697. {{1.0,0.0},24,{1.694580173763896e-32,0.0},1.7e-48,0.0},
    1698. 

  1698. {{1.0,0.0},26,{6.273730960048117e-36,0.0},6.3e-52,0.0},
    1699. 

  1699. {{1.0,0.0},28,{2.002424424322351e-39,0.0},2.0e-55,0.0},
    1700. 

  1700. {{1.0,0.0},30,{5.566831266981347e-43,0.0},5.6e-59,0.0},
    1701. 

  1701. {{1.0,0.0},32,{1.360066050758899e-46,0.0},1.4e-62,0.0},
    1702. 

  1702. {{1.0,0.0},35,{4.146142464888971e-52,0.0},4.1e-68,0.0},
    1703. 

  1703. {{1.0,0.0},38,{9.840005687079579e-58,0.0},9.8e-74,0.0},
    1704. 

  1704. {{1.0,0.0},41,{1.853528272155995e-63,0.0},1.9e-79,0.0},
    1705. 

  1705. {{10.0,0.0},0,{-0.5440211108893698,0.0},5.4e-17,0.0},
    1706. 

  1706. {{10.0,0.0},1,{0.7846694179875155,0.0},7.8e-17,0.0},
    1707. 

  1707. {{10.0,0.0},2,{0.7794219362856245,0.0},7.8e-17,0.0},
    1708. 

  1708. {{10.0,0.0},3,{-0.3949584498447032,0.0},3.9e-17,0.0},
    1709. 

  1709. {{10.0,0.0},4,{-1.055892851176917,0.0},1.1e-16,0.0},
    1710. 

  1710. {{10.0,0.0},5,{-0.5553451162145218,0.0},5.6e-17,0.0},
    1711. 

  1711. {{10.0,0.0},6,{0.4450132233409427,0.0},4.5e-17,0.0},
    1712. 

  1712. {{10.0,0.0},7,{1.133862306557747,0.0},1.1e-16,0.0},
    1713. 

  1713. {{10.0,0.0},8,{1.255780236495678,0.0},1.3e-16,0.0},
    1714. 

  1714. {{10.0,0.0},9,{1.000964095484906,0.0},1.0e-16,0.0},
    1715. 

  1715. {{10.0,0.0},10,{0.6460515449256426,0.0},6.5e-17,0.0},
    1716. 

  1716. {{10.0,0.0},11,{0.3557441488589438,0.0},3.6e-17,0.0},
    1717. 

  1717. {{10.0,0.0},12,{0.1721599974499281,0.0},1.7e-17,0.0},
    1718. 

  1718. {{10.0,0.0},13,{0.07465584476587637,0.0},7.5e-18,0.0},
    1719. 

  1719. {{10.0,0.0},14,{0.02941078341793813,0.0},2.9e-18,0.0},
    1720. 

  1720. {{10.0,0.0},16,{0.00355904073510893,0.0},3.6e-19,0.0},
    1721. 

  1721. {{10.0,0.0},17,{0.001109407279715256,0.0},1.1e-19,0.0},
    1722. 

  1722. {{10.0,0.0},18,{0.0003238847438944672,0.0},3.2e-20,0.0},
    1723. 

  1723. {{10.0,0.0},19,{8.896627269427228e-5,0.0},8.9e-21,0.0},
    1724. 

  1724. {{10.0,0.0},21,{5.676977719825934e-6,0.0},5.7e-22,0.0},
    1725. 

  1725. {{10.0,0.0},22,{1.327284582056831e-6,0.0},1.3e-22,0.0},
    1726. 

  1726. {{10.0,0.0},24,{6.298904526324468e-8,0.0},6.3e-24,0.0},
    1727. 

  1727. {{10.0,0.0},26,{2.512408773243373e-9,0.0},2.5e-25,0.0},
    1728. 

  1728. {{10.0,0.0},27,{4.723441380941795e-10,0.0},4.7e-26,0.0},
    1729. 

  1729. {{10.0,0.0},30,{2.512057384998943e-12,0.0},2.5e-28,0.0},
    1730. 

  1730. {{80.0,0.0},0,{-0.9938886539233752,0.0},9.9e-17,0.0},
    1731. 

  1731. {{80.0,0.0},1,{0.09796363566500537,0.0},9.8e-18,0.0},
    1732. 

  1732. {{80.0,0.0},30,{0.9085891506822639,0.0},9.1e-17,0.0},
    1733. 

  1733. {{80.0,0.0},50,{-0.8510856094465454,0.0},8.5e-17,0.0},
    1734. 

  1734. {{80.0,0.0},60,{-0.6405828831301126,0.0},6.4e-17,0.0},
    1735. 

  1735. {{80.0,0.0},70,{-0.9641731454914271,0.0},9.6e-17,0.0},
    1736. 

  1736. {{80.0,0.0},75,{1.681221392899474,0.0},1.7e-16,0.0},
    1737. 

  1737. {{80.0,0.0},80,{1.039376092082608,0.0},1.0e-16,0.0},
    1738. 

  1738. {{80.0,0.0},85,{0.2018445846611147,0.0},2.0e-17,0.0},
    1739. 

  1739. {{80.0,0.0},90,{0.01915014115966514,0.0},1.9e-18,0.0},
    1740. 

  1740. {{80.0,0.0},99,{7.337119877778807e-5,0.0},7.3e-21,0.0},
    1741. 

  1741. {{80.0,0.0},116,{6.387468798952271e-11,0.0},6.4e-27,0.0},
    1742. 

  1742. {{80.0,0.0},130,{4.862998628516291e-17,0.0},4.9e-33,0.0},
    1743. 

  1743. {{100.0,0.0},0,{-0.5063656411097588,0.0},5.1e-17,0.0},
    1744. 

  1744. {{100.0,0.0},1,{-0.8673825286987815,0.0},8.7e-17,0.0},
    1745. 

  1745. {{100.0,0.0},2,{0.4803441652487953,0.0},4.8e-17,0.0},
    1746. 

  1746. {{100.0,0.0},3,{0.8913997369612213,0.0},8.9e-17,0.0},
    1747. 

  1747. {{100.0,0.0},4,{-0.4179461836615099,0.0},4.2e-17,0.0},
    1748. 

  1748. {{100.0,0.0},5,{-0.9290148934907572,0.0},9.3e-17,0.0},
    1749. 

  1749. {{100.0,0.0},6,{0.3157545453775266,0.0},3.2e-17,0.0},
    1750. 

  1750. {{100.0,0.0},7,{0.9700629843898356,0.0},9.7e-17,0.0},
    1751. 

  1751. {{100.0,0.0},8,{-0.1702450977190512,0.0},1.7e-17,0.0},
    1752. 

  1752. {{100.0,0.0},9,{-0.9990046510020743,0.0},1.0e-16,0.0},
    1753. 

  1753. {{100.0,0.0},10,{-0.0195657859713429,0.0},2.0e-18,0.0},
    1754. 

  1754. {{100.0,0.0},12,{0.2483918282394041,0.0},2.5e-17,0.0},
    1755. 

  1755. {{100.0,0.0},14,{-0.5002472555392293,0.0},5.0e-17,0.0},
    1756. 

  1756. {{100.0,0.0},17,{-0.5420601927737344,0.0},5.4e-17,0.0},
    1757. 

  1757. {{100.0,0.0},19,{0.196419721012541,0.0},2.0e-17,0.0},
    1758. 

  1758. {{100.0,0.0},23,{-0.6306580152858614,0.0},6.3e-17,0.0},
    1759. 

  1759. {{100.0,0.0},26,{-0.143891546591607,0.0},1.4e-17,0.0},
    1760. 

  1760. {{100.0,0.0},31,{-0.245348080601665,0.0},2.5e-17,0.0},
    1761. 

  1761. {{100.0,0.0},36,{-0.08022559212383603,0.0},8.0e-18,0.0},
    1762. 

  1762. {{100.0,0.0},42,{-0.7409802829736421,0.0},7.4e-17,0.0},
    1763. 

  1763. {{100.0,0.0},49,{-0.8988354032424621,0.0},9.0e-17,0.0},
    1764. 

  1764. {{100.0,0.0},57,{0.7715080707056898,0.0},7.7e-17,0.0},
    1765. 

  1765. {{100.0,0.0},66,{0.5915705424339723,0.0},5.9e-17,0.0},
    1766. 

  1766. {{100.0,0.0},76,{-0.987829555147092,0.0},9.9e-17,0.0},
    1767. 

  1767. {{100.0,0.0},89,{-1.119551845294465,0.0},1.1e-16,0.0},
    1768. 

  1768. {{100.0,0.0},103,{0.4862349872932045,0.0},4.9e-17,0.0},
    1769. 

  1769. {{100.0,0.0},120,{0.0001044935577431419,0.0},1.0e-20,0.0},
    1770. 

  1770. {{100.0,0.0},140,{2.229243941309043e-11,0.0},2.2e-27,0.0},
    1771. 

  1771. {{100.0,0.0},162,{9.763089067519337e-21,0.0},9.8e-37,0.0},
    1772. 

  1772. {{100.0,0.0},188,{6.861471624173392e-34,0.0},6.9e-50,0.0},
    1773. 

  1773. {{100.0,0.0},219,{5.960550110959533e-52,0.0},6.0e-68,0.0},
    1774. 

  1774. {{100.0,0.0},254,{6.750243200363117e-75,0.0},6.8e-91,0.0},
    1775. 

  1775. {{100.0,0.0},296,{2.077300079982611e-105,0.0},2.1e-121,0.0},
    1776. 

  1776. {{100.0,0.0},343,{8.525637576350521e-143,0.0},8.5e-159,0.0},
    1777. 

  1777. {{100.0,0.0},399,{3.970577452228161e-191,0.0},4.0e-207,0.0},
    1778. 

  1778. {{100.0,0.0},464,{1.275975218077633e-251,0.0},1.3e-267,0.0},
    1779. 

  1779. {{100.0,0.0},539,{2.005718001506372e-326,0.0},2.0e-342,0.0},
    1780. 

  1780. {{100.0,0.0},626,{6.078701921888599e-419,0.0},6.1e-435,0.0},
    1781. 

  1781. {{100.0,0.0},727,{5.501888319350496e-533,0.0},5.5e-549,0.0},
    1782. 

  1782. {{100.0,0.0},844,{9.499262854440157e-673,0.0},9.5e-689,0.0},
    1783. 

  1783. {{100.0,0.0},981,{2.265887828424654e-845,0.0},2.3e-861,0.0},
    1784. 

  1784. {{100.0,0.0},1139,{8.842715022418808e-1055,0.0},8.8e-1071,0.0},
    1785. 

  1785. {{100.0,0.0},1324,{4.668811390736464e-1312,0.0},4.7e-1328,0.0},
    1786. 

  1786. {{100.0,0.0},1537,{3.675773987185818e-1622,0.0},3.7e-1638,0.0},
    1787. 

  1787. {{1000.0,0.0},0,{0.8268795405320026,0.0},8.3e-17,0.0},
    1788. 

  1788. {{1000.0,0.0},1,{-0.561552196750171,0.0},5.6e-17,0.0},
    1789. 

  1789. {{1000.0,0.0},2,{-0.8285641971222531,0.0},8.3e-17,0.0},
    1790. 

  1790. {{1000.0,0.0},3,{0.5574093757645597,0.0},5.6e-17,0.0},
    1791. 

  1791. {{1000.0,0.0},4,{0.832466062752605,0.0},8.3e-17,0.0},
    1792. 

  1792. {{1000.0,0.0},5,{-0.5499171811997863,0.0},5.5e-17,0.0},
    1793. 

  1793. {{1000.0,0.0},6,{-0.8385151517458026,0.0},8.4e-17,0.0},
    1794. 

  1794. {{1000.0,0.0},7,{0.5390164842270908,0.0},5.4e-17,0.0},
    1795. 

  1795. {{1000.0,0.0},9,{-0.5246242774439343,0.0},5.2e-17,0.0},
    1796. 

  1796. {{1000.0,0.0},10,{-0.8565682602806438,0.0},8.6e-17,0.0},
    1797. 

  1797. {{1000.0,0.0},11,{0.5066363439780408,0.0},5.1e-17,0.0},
    1798. 

  1798. {{1000.0,0.0},13,{-0.4849308215732373,0.0},4.8e-17,0.0},
    1799. 

  1799. {{1000.0,0.0},15,{0.4593727147503734,0.0},4.6e-17,0.0},
    1800. 

  1800. {{1000.0,0.0},18,{-0.9105982620053164,0.0},9.1e-17,0.0},
    1801. 

  1801. {{1000.0,0.0},20,{0.9260472258407888,0.0},9.3e-17,0.0},
    1802. 

  1802. {{1000.0,0.0},23,{0.3157941780843729,0.0},3.2e-17,0.0},
    1803. 

  1803. {{1000.0,0.0},27,{0.2175256230184992,0.0},2.2e-17,0.0},
    1804. 

  1804. {{1000.0,0.0},31,{0.1010717270922797,0.0},1.0e-17,0.0},
    1805. 

  1805. {{1000.0,0.0},35,{-0.03281014717791907,0.0},3.3e-18,0.0},
    1806. 

  1806. {{1000.0,0.0},41,{0.2609242061122253,0.0},2.6e-17,0.0},
    1807. 

  1807. {{1000.0,0.0},47,{-0.5066400369537076,0.0},5.1e-17,0.0},
    1808. 

  1808. {{1000.0,0.0},54,{-0.6313512330276828,0.0},6.3e-17,0.0},
    1809. 

  1809. {{1000.0,0.0},62,{-0.2129900416598473,0.0},2.1e-17,0.0},
    1810. 

  1810. {{1000.0,0.0},71,{-0.926462659427137,0.0},9.3e-17,0.0},
    1811. 

  1811. {{1000.0,0.0},81,{0.4047902506937166,0.0},4.0e-17,0.0},
    1812. 

  1812. {{1000.0,0.0},93,{-0.5947534057635428,0.0},5.9e-17,0.0},
    1813. 

  1813. {{1000.0,0.0},107,{0.8923701726937493,0.0},8.9e-17,0.0},
    1814. 

  1814. {{1000.0,0.0},123,{-0.6881373362486023,0.0},6.9e-17,0.0},
    1815. 

  1815. {{1000.0,0.0},141,{-0.005790484710336857,0.0},5.8e-19,0.0},
    1816. 

  1816. {{1000.0,0.0},162,{-1.004341451851323,0.0},1.0e-16,0.0},
    1817. 

  1817. {{1000.0,0.0},186,{0.4243208523362115,0.0},4.2e-17,0.0},
    1818. 

  1818. {{1000.0,0.0},214,{0.8850377283334687,0.0},8.9e-17,0.0},
    1819. 

  1819. {{1000.0,0.0},246,{-0.09666900461099306,0.0},9.7e-18,0.0},
    1820. 

  1820. {{1000.0,0.0},282,{0.3093032076039036,0.0},3.1e-17,0.0},
    1821. 

  1821. {{1000.0,0.0},324,{-0.6574666571444073,0.0},6.6e-17,0.0},
    1822. 

  1822. {{1000.0,0.0},372,{0.909222573405285,0.0},9.1e-17,0.0},
    1823. 

  1823. {{1000.0,0.0},427,{0.9597285605463302,0.0},9.6e-17,0.0},
    1824. 

  1824. {{1000.0,0.0},490,{1.046104365597067,0.0},1.0e-16,0.0},
    1825. 

  1825. {{1000.0,0.0},562,{-0.4772156439441007,0.0},4.8e-17,0.0},
    1826. 

  1826. {{1000.0,0.0},645,{0.7143679947886889,0.0},7.1e-17,0.0},
    1827. 

  1827. {{1000.0,0.0},740,{1.209734186991773,0.0},1.2e-16,0.0},
    1828. 

  1828. {{1000.0,0.0},850,{-1.034435797754064,0.0},1.0e-16,0.0},
    1829. 

  1829. {{10000.0,0.0},0,{-0.3056143888882521,0.0},3.1e-17,0.0},
    1830. 

  1830. {{10000.0,0.0},1,{0.952124806820126,0.0},9.5e-17,0.0},
    1831. 

  1831. {{10000.0,0.0},2,{0.3059000263302982,0.0},3.1e-17,0.0},
    1832. 

  1832. {{10000.0,0.0},3,{-0.9519718568069609,0.0},9.5e-17,0.0},
    1833. 

  1833. {{10000.0,0.0},4,{-0.3065664066300631,0.0},3.1e-17,0.0},
    1834. 

  1834. {{10000.0,0.0},5,{0.9516959470409938,0.0},9.5e-17,0.0},
    1835. 

  1835. {{10000.0,0.0},6,{0.3076132721718081,0.0},3.1e-17,0.0},
    1836. 

  1836. {{10000.0,0.0},8,{-0.3090402162464889,0.0},3.1e-17,0.0},
    1837. 

  1837. {{10000.0,0.0},11,{-0.9501179033904149,0.0},9.5e-17,0.0},
    1838. 

  1838. {{10000.0,0.0},14,{0.315595157092464,0.0},3.2e-17,0.0},
    1839. 

  1839. {{10000.0,0.0},18,{0.3218510506540846,0.0},3.2e-17,0.0},
    1840. 

  1840. {{10000.0,0.0},23,{-0.9433601457445342,0.0},9.4e-17,0.0},
    1841. 

  1841. {{10000.0,0.0},29,{0.9379666478839471,0.0},9.4e-17,0.0},
    1842. 

  1842. {{10000.0,0.0},37,{0.9283397516018927,0.0},9.3e-17,0.0},
    1843. 

  1843. {{10000.0,0.0},48,{-0.4152217424854132,0.0},4.2e-17,0.0},
    1844. 

  1844. {{10000.0,0.0},61,{0.8777422109084248,0.0},8.8e-17,0.0},
    1845. 

  1845. {{10000.0,0.0},78,{0.5799735094103576,0.0},5.8e-17,0.0},
    1846. 

  1846. {{10000.0,0.0},99,{-0.6927046245889522,0.0},6.9e-17,0.0},
    1847. 

  1847. {{10000.0,0.0},126,{0.8960430419640289,0.0},9.0e-17,0.0},
    1848. 

  1848. {{10000.0,0.0},161,{-0.04390438580192674,0.0},4.4e-18,0.0},
    1849. 

  1849. {{10000.0,0.0},205,{-0.7522577756314945,0.0},7.5e-17,0.0},
    1850. 

  1850. {{10000.0,0.0},262,{-0.5766402963422176,0.0},5.8e-17,0.0},
    1851. 

  1851. {{10000.0,0.0},333,{0.9169823827831649,0.0},9.2e-17,0.0},
    1852. 

  1852. {{10000.0,0.0},425,{-0.9986331409734894,0.0},1.0e-16,0.0},
    1853. 

  1853. {{10000.0,0.0},541,{-0.7439210236606826,0.0},7.4e-17,0.0},
    1854. 

  1854. {{10000.0,0.0},690,{-0.8276630796953436,0.0},8.3e-17,0.0},
    1855. 

  1855. {{10000.0,0.0},879,{-0.2559686924018959,0.0},2.6e-17,0.0},
    1856. 

  1856. {{10000.0,0.0},1120,{-0.3161896326121199,0.0},3.2e-17,0.0},
    1857. 

  1857. {{10000.0,0.0},1427,{0.2687936760264434,0.0},2.7e-17,0.0},
    1858. 

  1858. {{10000.0,0.0},1818,{0.3801110903322125,0.0},3.8e-17,0.0},
    1859. 

  1859. {{10000.0,0.0},2316,{0.3363664648717635,0.0},3.4e-17,0.0},
    1860. 

  1860. {{10000.0,0.0},2950,{-0.8588302425401225,0.0},8.6e-17,0.0},
    1861. 

  1861. {{10000.0,0.0},3758,{-0.8541132755119114,0.0},8.5e-17,0.0},
    1862. 

  1862. {{10000.0,0.0},7771,{-1.18058612315672,0.0},1.2e-16,0.0},
    1863. 

  1863. {{10000.0,0.0},9900,{-1.747822111395514,0.0},1.7e-16,0.0},
    1864. 

  1864. {{10000.0,0.0},12612,{7.25197826864343e-541,0.0},7.3e-557,0.0},
    1865. 

  1865. {{10000.0,0.0},16067,{1.369451063257112e-1882,0.0},1.4e-1898,0.0},
    1866. 

  1866. {{10000.0,0.0},20468,{1.387136027206115e-4188,0.0},1.4e-4204,0.0},
    1867. 

  1867. {{10000.0,0.0},26075,{3.402710534773112e-7804,0.0},3.4e-7820,0.0},
    1868. 

  1868. {{10000.0,0.0},33218,{1.467628954663695e-13224,0.0},1.5e-13240,0.0},
    1869. 

  1869. {{10000.0,0.0},42318,{5.445358924275546e-21134,0.0},5.4e-21150,0.0},
    1870. 

  1870. {{10000.0,0.0},53911,{3.266521110728529e-32465,0.0},3.3e-32481,0.0},
    1871. 

  1871. {{10000.0,0.0},68679,{2.775502574785064e-48480,0.0},2.8e-48496,0.0},
    1872. 

  1872. {{10000.0,0.0},87493,{8.914211935647729e-70883,0.0},8.9e-70899,0.0},
    1873. 

  1873. {{10000.0,0.0},111461,{2.619912559375462e-101959,0.0},2.6e-101975,0.0},
    1874. 

  1874. {{10000.0,0.0},141995,{5.82392981843591e-144773,0.0},5.8e-144789,0.0},
    1875. 

  1875. };
    1876. 

  1876. 

  1877. // complex(z), n, complex(f(n,z)), abs_err_real, abs_err_imag
    1878. 

  1878. std::vector< std::tuple< std::complex<double>, int, std::complex<double>, double, double > >
    1879. 

  1879. zeta_test_16digits
    1880. 

  1880. = {
    1881. 

  1881. {{0.055,0.0},0,{0.05497227502706773,-0.9984878812375984},5.5e-18,1.0e-16},
    1882. 

  1882. {{0.055,0.0},1,{0.001008028345451298,-18.20929738843795},1.0e-19,1.8e-15},
    1883. 

  1883. {{0.055,0.0},2,{1.108927027577585e-5,-992.2359151244687},1.1e-21,9.9e-14},
    1884. 

  1884. {{0.055,0.0},3,{8.713416468907156e-8,-90185.05571392689},8.7e-24,9.0e-12},
    1885. 

  1885. {{0.055,0.0},4,{5.325028332528807e-10,-11477105.76403921},5.3e-26,1.1e-9},
    1886. 

  1886. {{0.055,0.0},5,{2.662570490744701e-12,-1877981667.241611},2.7e-28,1.9e-7},
    1887. 

  1887. {{0.056,0.0},0,{0.05597073525575547,-0.9984324097278344},5.6e-18,1.0e-16},
    1888. 

  1888. {{0.056,0.0},1,{0.00104500555351332,-17.88512090896708},1.0e-19,1.8e-15},
    1889. 

  1889. {{0.056,0.0},2,{1.170511102950751e-5,-957.1330448563659},1.2e-21,9.6e-14},
    1890. 

  1890. {{0.056,0.0},3,{9.364554985109859e-8,-85440.42245555228},9.4e-24,8.5e-12},
    1891. 

  1891. {{0.056,0.0},4,{5.827018798125993e-10,-10679095.67389918},5.8e-26,1.1e-9},
    1892. 

  1892. {{0.056,0.0},5,{2.966547354864994e-12,-1716197792.88277},3.0e-28,1.7e-7},
    1893. 

  1893. {{0.099,0.0},0,{0.09883836273067998,-0.9951035011759925},9.9e-18,1.0e-16},
    1894. 

  1894. {{0.099,0.0},1,{0.003263799133906297,-10.1503888796599},3.3e-19,1.0e-15},
    1895. 

  1895. {{0.099,0.0},2,{6.464132708660462e-5,-306.5924383066997},6.5e-21,3.1e-14},
    1896. 

  1896. {{0.099,0.0},3,{9.143553161581762e-7,-15474.31619226679},9.1e-23,1.5e-12},
    1897. 

  1897. {{0.099,0.0},4,{1.005890437753418e-8,-1093836.97671187},1.0e-24,1.1e-10},
    1898. 

  1898. {{0.101,0.0},0,{0.100828370729568,-0.9949038343759767},1.0e-17,9.9e-17},
    1899. 

  1899. {{0.101,0.0},1,{0.003396865916775768,-9.951361384353099},3.4e-19,1.0e-15},
    1900. 

  1900. {{0.101,0.0},2,{6.863669941520236e-5,-294.5900877800725},6.9e-21,2.9e-14},
    1901. 

  1901. {{0.101,0.0},3,{9.904899174185251e-7,-14573.71635050042},9.9e-23,1.5e-12},
    1902. 

  1902. {{0.101,0.0},4,{1.111664350730229e-8,-1009764.958956804},1.1e-24,1.0e-10},
    1903. 

  1903. {{1.0,0.0},0,{0.8414709848078965,-0.5403023058681397},8.4e-17,5.4e-17},
    1904. 

  1904. {{1.0,0.0},1,{0.3011686789397568,-1.381773290676036},3.0e-17,1.4e-16},
    1905. 

  1905. {{1.0,0.0},2,{0.06203505201137386,-3.605017566159969},6.2e-18,3.6e-16},
    1906. 

  1906. {{1.0,0.0},3,{0.009006581117112516,-16.64331454012381},9.0e-19,1.7e-15},
    1907. 

  1907. {{1.0,0.0},4,{0.001011015808413753,-112.8981842147067},1.0e-19,1.1e-14},
    1908. 

  1908. {{1.0,0.0},5,{9.256115861125816e-5,-999.4403433922364},9.3e-21,1.0e-13},
    1909. 

  1909. {{1.0,0.0},6,{7.156936310087086e-6,-10880.94559309989},7.2e-22,1.1e-12},
    1910. 

  1910. {{1.0,0.0},7,{4.790134198739489e-7,-140452.8523669064},4.8e-23,1.4e-11},
    1911. 

  1911. {{1.0,0.0},8,{2.826498802214729e-8,-2095911.839910496},2.8e-24,2.1e-10},
    1912. 

  1912. {{1.0,0.0},9,{1.491376502555146e-9,-35490048.42611152},1.5e-25,3.5e-9},
    1913. 

  1913. {{1.0,0.0},10,{7.116552640047313e-11,-672215008.2562084},7.1e-27,6.7e-8},
    1914. 

  1914. {{1.0,0.0},11,{3.09955185479008e-12,-14081025124.95427},3.1e-28,1.4e-6},
    1915. 

  1915. {{1.0,0.0},12,{1.241662596987106e-13,-323191362865.6919},1.2e-29,3.2e-5},
    1916. 

  1916. {{1.0,0.0},13,{4.604637677683787e-15,-8065703046517.343},4.6e-31,0.00081},
    1917. 

  1917. {{1.0,0.0},14,{1.589575987516976e-16,-217450790893102.6},1.6e-32,0.022},
    1918. 

  1918. {{1.0,0.0},15,{5.132686115443762e-18,-6298007232853457.0},5.1e-34,0.63},
    1919. 

  1919. {{1.0,0.0},16,{1.556708270590172e-19,-1.950207734275641e+17},1.6e-35,20.0},
    1920. 

  1920. {{1.0,0.0},17,{4.451177503806802e-21,-6.429387515876761e+18},4.5e-37,6.4e+2},
    1921. 

  1921. {{1.0,0.0},19,{3.088742363539549e-24,-8.312411676927709e+21},3.1e-40,8.3e+5},
    1922. 

  1922. {{1.0,0.0},20,{7.537795722236873e-26,-3.239592218578984e+23},7.5e-42,3.2e+7},
    1923. 

  1923. {{1.0,0.0},22,{3.899361309912283e-29,-5.704587152115091e+26},3.9e-45,5.7e+10},
    1924. 

  1924. {{1.0,0.0},24,{1.694580173763896e-32,-1.205325845219959e+30},1.7e-48,1.2e+14},
    1925. 

  1925. {{1.0,0.0},26,{6.273730960048117e-36,-3.009595435582847e+33},6.3e-52,3.0e+17},
    1926. 

  1926. {{1.0,0.0},28,{2.002424424322351e-39,-8.766714157290797e+36},2.0e-55,8.8e+20},
    1927. 

  1927. {{1.0,0.0},30,{5.566831266981347e-43,-2.946428547496782e+40},5.6e-59,2.9e+24},
    1928. 

  1928. {{1.0,0.0},32,{1.360066050758899e-46,-1.131703135696075e+44},1.4e-62,1.1e+28},
    1929. 

  1929. {{1.0,0.0},35,{4.146142464888971e-52,-3.398364364339443e+49},4.1e-68,3.4e+33},
    1930. 

  1930. {{1.0,0.0},38,{9.840005687079579e-58,-1.320263364413848e+55},9.8e-74,1.3e+39},
    1931. 

  1931. {{1.0,0.0},41,{1.853528272155995e-63,-6.502028762468467e+60},1.9e-79,6.5e+44},
    1932. 

  1932. {{10.0,0.0},0,{-0.5440211108893698,0.8390715290764525},5.4e-17,8.4e-17},
    1933. 

  1933. {{10.0,0.0},1,{0.7846694179875155,0.6279282637970151},7.8e-17,6.3e-17},
    1934. 

  1934. {{10.0,0.0},2,{0.7794219362856245,-0.6506930499373479},7.8e-17,6.5e-17},
    1935. 

  1935. {{10.0,0.0},3,{-0.3949584498447032,-0.953274788765689},3.9e-17,9.5e-17},
    1936. 

  1936. {{10.0,0.0},4,{-1.055892851176917,-0.01659930219863438},1.1e-16,1.7e-18},
    1937. 

  1937. {{10.0,0.0},5,{-0.5553451162145218,0.9383354167869181},5.6e-17,9.4e-17},
    1938. 

  1938. {{10.0,0.0},6,{0.4450132233409427,1.048768260664244},4.5e-17,1.0e-16},
    1939. 

  1939. {{10.0,0.0},7,{1.133862306557747,0.4250633220765995},1.1e-16,4.3e-17},
    1940. 

  1940. {{10.0,0.0},8,{1.255780236495678,-0.4111732775493451},1.3e-16,4.1e-17},
    1941. 

  1941. {{10.0,0.0},9,{1.000964095484906,-1.124057893910486},1.0e-16,1.1e-16},
    1942. 

  1942. {{10.0,0.0},10,{0.6460515449256426,-1.724536720880578},6.5e-17,1.7e-16},
    1943. 

  1943. {{10.0,0.0},11,{0.3557441488589438,-2.497469219938729},3.6e-17,2.5e-16},
    1944. 

  1944. {{10.0,0.0},12,{0.1721599974499281,-4.019642484978498},1.7e-17,4.0e-16},
    1945. 

  1945. {{10.0,0.0},13,{0.07465584476587637,-7.551636992507515},7.5e-18,7.6e-16},
    1946. 

  1946. {{10.0,0.0},14,{0.02941078341793813,-16.36977739479179},2.9e-18,1.6e-15},
    1947. 

  1947. {{10.0,0.0},16,{0.00355904073510893,-107.3844467076131},3.6e-19,1.1e-14},
    1948. 

  1948. {{10.0,0.0},17,{0.001109407279715256,-314.4479566827347},1.1e-19,3.1e-14},
    1949. 

  1949. {{10.0,0.0},18,{0.0003238847438944672,-993.1834016819582},3.2e-20,9.9e-14},
    1950. 

  1950. {{10.0,0.0},19,{8.896627269427228e-5,-3360.330629540511},8.9e-21,3.4e-13},
    1951. 

  1951. {{10.0,0.0},21,{5.676977719825934e-6,-46299.30418991622},5.7e-22,4.6e-12},
    1952. 

  1952. {{10.0,0.0},22,{1.327284582056831e-6,-186974.9019631137},1.3e-22,1.9e-11},
    1953. 

  1953. {{10.0,0.0},24,{6.298904526324468e-8,-3549937.544864135},6.3e-24,3.5e-10},
    1954. 

  1954. {{10.0,0.0},26,{2.512408773243373e-9,-81108054.15260572},2.5e-25,8.1e-9},
    1955. 

  1955. {{10.0,0.0},27,{4.723441380941795e-10,-413273080.7936202},4.7e-26,4.1e-8},
    1956. 

  1956. {{10.0,0.0},30,{2.512057384998943e-12,-69083186460.94516},2.5e-28,6.9e-6},
    1957. 

  1957. {{80.0,0.0},0,{-0.9938886539233752,0.1103872438390476},9.9e-17,1.1e-17},
    1958. 

  1958. {{80.0,0.0},1,{0.09796363566500537,0.9952684944713633},9.8e-18,1.0e-16},
    1959. 

  1959. {{80.0,0.0},30,{0.9085891506822639,-0.5060739517940013},9.1e-17,5.1e-17},
    1960. 

  1960. {{80.0,0.0},50,{-0.8510856094465454,-0.7514741282998871},8.5e-17,7.5e-17},
    1961. 

  1961. {{80.0,0.0},60,{-0.6405828831301126,1.056795272698575},6.4e-17,1.1e-16},
    1962. 

  1962. {{80.0,0.0},70,{-0.9641731454914271,1.082903079393562},9.6e-17,1.1e-16},
    1963. 

  1963. {{80.0,0.0},75,{1.681221392899474,0.2861031097638479},1.7e-16,2.9e-17},
    1964. 

  1964. {{80.0,0.0},80,{1.039376092082608,-2.229727207344475},1.0e-16,2.2e-16},
    1965. 

  1965. {{80.0,0.0},85,{0.2018445846611147,-6.79766591437198},2.0e-17,6.8e-16},
    1966. 

  1966. {{80.0,0.0},90,{0.01915014115966514,-49.68517113491355},1.9e-18,5.0e-15},
    1967. 

  1967. {{80.0,0.0},99,{7.337119877778807e-5,-9222.855138429382},7.3e-21,9.2e-13},
    1968. 

  1968. {{80.0,0.0},116,{6.387468798952271e-11,-7395385511.699251},6.4e-27,7.4e-7},
    1969. 

  1969. {{80.0,0.0},130,{4.862998628516291e-17,-7978214064656749.0},4.9e-33,0.8},
    1970. 

  1970. {{100.0,0.0},0,{-0.5063656411097588,-0.8623188722876839},5.1e-17,8.6e-17},
    1971. 

  1971. {{100.0,0.0},1,{-0.8673825286987815,0.497742452386882},8.7e-17,5.0e-17},
    1972. 

  1972. {{100.0,0.0},2,{0.4803441652487953,0.8772511458592904},4.8e-17,8.8e-17},
    1973. 

  1973. {{100.0,0.0},3,{0.8913997369612213,-0.4538798950939174},8.9e-17,4.5e-17},
    1974. 

  1974. {{100.0,0.0},4,{-0.4179461836615099,-0.9090227385158646},4.2e-17,9.1e-17},
    1975. 

  1975. {{100.0,0.0},5,{-0.9290148934907572,0.3720678486274896},9.3e-17,3.7e-17},
    1976. 

  1976. {{100.0,0.0},6,{0.3157545453775266,0.9499502018648885},3.2e-17,9.5e-17},
    1977. 

  1977. {{100.0,0.0},7,{0.9700629843898356,-0.2485743223850541},9.7e-17,2.5e-17},
    1978. 

  1978. {{100.0,0.0},8,{-0.1702450977190512,-0.9872363502226466},1.7e-17,9.9e-17},
    1979. 

  1979. {{100.0,0.0},9,{-0.9990046510020743,0.0807441428472042},1.0e-16,8.1e-18},
    1980. 

  1980. {{100.0,0.0},10,{-0.0195657859713429,1.002577737363615},2.0e-18,1.0e-16},
    1981. 

  1981. {{100.0,0.0},12,{0.2483918282394041,-0.9727243855038097},2.5e-17,9.7e-17},
    1982. 

  1982. {{100.0,0.0},14,{-0.5002472555392293,0.8720202503425307},5.0e-17,8.7e-17},
    1983. 

  1983. {{100.0,0.0},17,{-0.5420601927737344,-0.8496049309427912},5.4e-17,8.5e-17},
    1984. 

  1984. {{100.0,0.0},19,{0.196419721012541,0.9904419668956676},2.0e-17,9.9e-17},
    1985. 

  1985. {{100.0,0.0},23,{-0.6306580152858614,0.794394952285829},6.3e-17,7.9e-17},
    1986. 

  1986. {{100.0,0.0},26,{-0.143891546591607,-1.008142711740272},1.4e-17,1.0e-16},
    1987. 

  1987. {{100.0,0.0},31,{-0.245348080601665,-0.9967036472620608},2.5e-17,1.0e-16},
    1988. 

  1988. {{100.0,0.0},36,{-0.08022559212383603,-1.033265431104683},8.0e-18,1.0e-16},
    1989. 

  1989. {{100.0,0.0},42,{-0.7409802829736421,-0.7454135574907433},7.4e-17,7.5e-17},
    1990. 

  1990. {{100.0,0.0},49,{-0.8988354032424621,0.5855924676754787},9.0e-17,5.9e-17},
    1991. 

  1991. {{100.0,0.0},57,{0.7715080707056898,0.7917840064320207},7.7e-17,7.9e-17},
    1992. 

  1992. {{100.0,0.0},66,{0.5915705424339723,-0.9943577408622831},5.9e-17,9.9e-17},
    1993. 

  1993. {{100.0,0.0},76,{-0.987829555147092,-0.758958460609405},9.9e-17,7.6e-17},
    1994. 

  1994. {{100.0,0.0},89,{-1.119551845294465,0.9874911064736249},1.1e-16,9.9e-17},
    1995. 

  1995. {{100.0,0.0},103,{0.4862349872932045,-3.932782745345558},4.9e-17,3.9e-16},
    1996. 

  1996. {{100.0,0.0},120,{0.0001044935577431419,-7123.747314608973},1.0e-20,7.1e-13},
    1997. 

  1997. {{100.0,0.0},140,{2.229243941309043e-11,-22728970587.22979},2.2e-27,2.3e-6},
    1998. 

  1998. {{100.0,0.0},162,{9.763089067519337e-21,-3.998455948928182e+19},9.8e-37,4.0e+3},
    1999. 

  1999. {{100.0,0.0},188,{6.861471624173392e-34,-4.560507264377804e+32},6.9e-50,4.6e+16},
    2000. 

  2000. {{100.0,0.0},219,{5.960550110959533e-52,-4.293053043714103e+50},6.0e-68,4.3e+34},
    2001. 

  2001. {{100.0,0.0},254,{6.750243200363117e-75,-3.165039335082101e+73},6.8e-91,3.2e+57},
    2002. 

  2002. {{100.0,0.0},296,{2.077300079982611e-105,-8.62319701238945e+103},2.1e-121,8.6e+87},
    2003. 

  2003. {{100.0,0.0},343,{8.525637576350521e-143,-1.784625319681049e+141},8.5e-159,1.8e+125},
    2004. 

  2004. {{100.0,0.0},399,{3.970577452228161e-191,-3.255744216903431e+189},4.0e-207,3.3e+173},
    2005. 

  2005. {{100.0,0.0},464,{1.275975218077633e-251,-8.638673889350171e+249},1.3e-267,8.6e+233},
    2006. 

  2006. {{100.0,0.0},539,{2.005718001506372e-326,-4.702192956140304e+324},2.0e-342,4.7e+308},
    2007. 

  2007. {{100.0,0.0},626,{6.078701921888599e-419,-1.329971011220177e+417},6.1e-435,1.3e+401},
    2008. 

  2008. {{100.0,0.0},727,{5.501888319350496e-533,-1.261151833780533e+531},5.5e-549,1.3e+515},
    2009. 

  2009. {{100.0,0.0},844,{9.499262854440157e-673,-6.276922570590454e+670},9.5e-689,6.3e+654},
    2010. 

  2010. {{100.0,0.0},981,{2.265887828424654e-845,-2.259993447656205e+843},2.3e-861,2.3e+827},
    2011. 

  2011. {{100.0,0.0},1139,{8.842715022418808e-1055,-4.981370725943817e+1052},8.8e-1071,5.0e+1036},
    2012. 

  2012. {{100.0,0.0},1324,{4.668811390736464e-1312,-8.108733995411389e+1309},4.7e-1328,8.1e+1293},
    2013. 

  2013. {{100.0,0.0},1537,{3.675773987185818e-1622,-8.865977477340542e+1619},3.7e-1638,8.9e+1603},
    2014. 

  2014. {{1000.0,0.0},0,{0.8268795405320026,-0.562379076290703},8.3e-17,5.6e-17},
    2015. 

  2015. {{1000.0,0.0},1,{-0.561552196750171,-0.8274419196082933},5.6e-17,8.3e-17},
    2016. 

  2016. {{1000.0,0.0},2,{-0.8285641971222531,0.5598967505318781},8.3e-17,5.6e-17},
    2017. 

  2017. {{1000.0,0.0},3,{0.5574093757645597,0.8302414033609527},5.6e-17,8.3e-17},
    2018. 

  2018. {{1000.0,0.0},4,{0.832466062752605,-0.5540850607083514},8.3e-17,5.5e-17},
    2019. 

  2019. {{1000.0,0.0},5,{-0.5499171811997863,-0.8352281689073278},5.5e-17,8.4e-17},
    2020. 

  2020. {{1000.0,0.0},6,{-0.8385151517458026,0.5448975508503708},8.4e-17,5.4e-17},
    2021. 

  2021. {{1000.0,0.0},7,{0.5390164842270908,0.8423118370683826},5.4e-17,8.4e-17},
    2022. 

  2022. {{1000.0,0.0},9,{-0.5246242774439343,-0.8513603059143865},5.2e-17,8.5e-17},
    2023. 

  2023. {{1000.0,0.0},10,{-0.8565682602806438,0.5160870274819718},8.6e-17,5.2e-17},
    2024. 

  2024. {{1000.0,0.0},11,{0.5066363439780408,0.8621981334915079},5.1e-17,8.6e-17},
    2025. 

  2025. {{1000.0,0.0},13,{-0.4849308215732373,-0.8746045452517996},4.8e-17,8.7e-17},
    2026. 

  2026. {{1000.0,0.0},15,{0.4593727147503734,0.8883111675348058},4.6e-17,8.9e-17},
    2027. 

  2027. {{1000.0,0.0},18,{-0.9105982620053164,0.4134995149333431},9.1e-17,4.1e-17},
    2028. 

  2028. {{1000.0,0.0},20,{0.9260472258407888,-0.3776858501060111},9.3e-17,3.8e-17},
    2029. 

  2029. {{1000.0,0.0},23,{0.3157941780843729,0.9489732087840213},3.2e-17,9.5e-17},
    2030. 

  2030. {{1000.0,0.0},27,{0.2175256230184992,0.976248337884936},2.2e-17,9.8e-17},
    2031. 

  2031. {{1000.0,0.0},31,{0.1010717270922797,0.9951285718767434},1.0e-17,1.0e-16},
    2032. 

  2032. {{1000.0,0.0},35,{-0.03281014717791907,0.9997770197744073},3.3e-18,1.0e-16},
    2033. 

  2033. {{1000.0,0.0},41,{0.2609242061122253,-0.9658057107645263},2.6e-17,9.7e-17},
    2034. 

  2034. {{1000.0,0.0},47,{-0.5066400369537076,0.8628127163075355},5.1e-17,8.6e-17},
    2035. 

  2035. {{1000.0,0.0},54,{-0.6313512330276828,-0.7764560092822195},6.3e-17,7.8e-17},
    2036. 

  2036. {{1000.0,0.0},62,{-0.2129900416598473,-0.9780562249615457},2.1e-17,9.8e-17},
    2037. 

  2037. {{1000.0,0.0},71,{-0.926462659427137,-0.379779907874921},9.3e-17,3.8e-17},
    2038. 

  2038. {{1000.0,0.0},81,{0.4047902506937166,0.9162327671042002},4.0e-17,9.2e-17},
    2039. 

  2039. {{1000.0,0.0},93,{-0.5947534057635428,0.8066400984512723},5.9e-17,8.1e-17},
    2040. 

  2040. {{1000.0,0.0},107,{0.8923701726937493,0.4577161030388435},8.9e-17,4.6e-17},
    2041. 

  2041. {{1000.0,0.0},123,{-0.6881373362486023,0.7308771114070519},6.9e-17,7.3e-17},
    2042. 

  2042. {{1000.0,0.0},141,{-0.005790484710336857,1.00505240530667},5.8e-19,1.0e-16},
    2043. 

  2043. {{1000.0,0.0},162,{-1.004341451851323,-0.06905501630232919},1.0e-16,6.9e-18},
    2044. 

  2044. {{1000.0,0.0},186,{0.4243208523362115,0.9153196261481822},4.2e-17,9.2e-17},
    2045. 

  2045. {{1000.0,0.0},214,{0.8850377283334687,0.4904474893116481},8.9e-17,4.9e-17},
    2046. 

  2046. {{1000.0,0.0},246,{-0.09666900461099306,1.011184752036795},9.7e-18,1.0e-16},
    2047. 

  2047. {{1000.0,0.0},282,{0.3093032076039036,-0.973033201417064},3.1e-17,9.7e-17},
    2048. 

  2048. {{1000.0,0.0},324,{-0.6574666571444073,0.7905362270426355},6.6e-17,7.9e-17},
    2049. 

  2049. {{1000.0,0.0},372,{0.909222573405285,0.500862067695031},9.1e-17,5.0e-17},
    2050. 

  2050. {{1000.0,0.0},427,{0.9597285605463302,-0.4302284984951585},9.6e-17,4.3e-17},
    2051. 

  2051. {{1000.0,0.0},490,{1.046104365597067,-0.2306282264858935},1.0e-16,2.3e-17},
    2052. 

  2052. {{1000.0,0.0},562,{-0.4772156439441007,0.9908332203529922},4.8e-17,9.9e-17},
    2053. 

  2053. {{1000.0,0.0},645,{0.7143679947886889,0.8938610251077628},7.1e-17,8.9e-17},
    2054. 

  2054. {{1000.0,0.0},740,{1.209734186991773,-0.1565477440422447},1.2e-16,1.6e-17},
    2055. 

  2055. {{1000.0,0.0},850,{-1.034435797754064,-0.9116631948399486},1.0e-16,9.1e-17},
    2056. 

  2056. {{10000.0,0.0},0,{-0.3056143888882521,0.9521553682590149},3.1e-17,9.5e-17},
    2057. 

  2057. {{10000.0,0.0},1,{0.952124806820126,0.305709604425078},9.5e-17,3.1e-17},
    2058. 

  2058. {{10000.0,0.0},2,{0.3059000263302982,-0.9520636553776873},3.1e-17,9.5e-17},
    2059. 

  2059. {{10000.0,0.0},3,{-0.9519718568069609,-0.3061856362527669},9.5e-17,3.1e-17},
    2060. 

  2060. {{10000.0,0.0},4,{-0.3065664066300631,0.9518493254323104},3.1e-17,9.5e-17},
    2061. 

  2061. {{10000.0,0.0},5,{0.9516959470409938,0.307042300645656},9.5e-17,3.1e-17},
    2062. 

  2062. {{10000.0,0.0},6,{0.3076132721718081,-0.9515115789016002},3.1e-17,9.5e-17},
    2063. 

  2063. {{10000.0,0.0},8,{-0.3090402162464889,0.9510491600030528},3.1e-17,9.5e-17},
    2064. 

  2064. {{10000.0,0.0},11,{-0.9501179033904149,-0.3118920160210031},9.5e-17,3.1e-17},
    2065. 

  2065. {{10000.0,0.0},14,{0.315595157092464,-0.9488944866640447},3.2e-17,9.5e-17},
    2066. 

  2066. {{10000.0,0.0},18,{0.3218510506540846,-0.946791218377749},3.2e-17,9.5e-17},
    2067. 

  2067. {{10000.0,0.0},23,{-0.9433601457445342,-0.3317746154126867},9.4e-17,3.3e-17},
    2068. 

  2068. {{10000.0,0.0},29,{0.9379666478839471,0.3467317659022176},9.4e-17,3.5e-17},
    2069. 

  2069. {{10000.0,0.0},37,{0.9283397516018927,0.3717422973913016},9.3e-17,3.7e-17},
    2070. 

  2070. {{10000.0,0.0},48,{-0.4152217424854132,0.9097266978464748},4.2e-17,9.1e-17},
    2071. 

  2071. {{10000.0,0.0},61,{0.8777422109084248,0.4791529210238686},8.8e-17,4.8e-17},
    2072. 

  2072. {{10000.0,0.0},78,{0.5799735094103576,-0.8146542455580336},5.8e-17,8.1e-17},
    2073. 

  2073. {{10000.0,0.0},99,{-0.6927046245889522,-0.7212557152272793},6.9e-17,7.2e-17},
    2074. 

  2074. {{10000.0,0.0},126,{0.8960430419640289,-0.44405730097627},9.0e-17,4.4e-17},
    2075. 

  2075. {{10000.0,0.0},161,{-0.04390438580192674,0.9991010161245437},4.4e-18,1.0e-16},
    2076. 

  2076. {{10000.0,0.0},205,{-0.7522577756314945,0.659029176819063},7.5e-17,6.6e-17},
    2077. 

  2077. {{10000.0,0.0},262,{-0.5766402963422176,0.8172090777658204},5.8e-17,8.2e-17},
    2078. 

  2078. {{10000.0,0.0},333,{0.9169823827831649,-0.3996246788860864},9.2e-17,4.0e-17},
    2079. 

  2079. {{10000.0,0.0},425,{-0.9986331409734894,0.06031857764924985},1.0e-16,6.0e-18},
    2080. 

  2080. {{10000.0,0.0},541,{-0.7439210236606826,0.6693660079881031},7.4e-17,6.7e-17},
    2081. 

  2081. {{10000.0,0.0},690,{-0.8276630796953436,-0.5633527627627941},8.3e-17,5.6e-17},
    2082. 

  2082. {{10000.0,0.0},879,{-0.2559686924018959,-0.9686951076386396},2.6e-17,9.7e-17},
    2083. 

  2083. {{10000.0,0.0},1120,{-0.3161896326121199,0.9520301748728291},3.2e-17,9.5e-17},
    2084. 

  2084. {{10000.0,0.0},1427,{0.2687936760264434,-0.9685541537392371},2.7e-17,9.7e-17},
    2085. 

  2085. {{10000.0,0.0},1818,{0.3801110903322125,0.9340620975427486},3.8e-17,9.3e-17},
    2086. 

  2086. {{10000.0,0.0},2316,{0.3363664648717635,0.9564616952166914},3.4e-17,9.6e-17},
    2087. 

  2087. {{10000.0,0.0},2950,{-0.8588302425401225,-0.555880388869997},8.6e-17,5.6e-17},
    2088. 

  2088. {{10000.0,0.0},3758,{-0.8541132755119114,-0.591279183531158},8.5e-17,5.9e-17},
    2089. 

  2089. {{10000.0,0.0},7771,{-1.18058612315672,-0.4418649322239787},1.2e-16,4.4e-17},
    2090. 

  2090. {{10000.0,0.0},9900,{-1.747822111395514,2.011491146878234},1.7e-16,2.0e-16},
    2091. 

  2091. {{10000.0,0.0},12612,{7.25197826864343e-541,-8.970385150483627e+539},7.3e-557,9.0e+523},
    2092. 

  2092. {{10000.0,0.0},16067,{1.369451063257112e-1882,-2.90314618431218e+1881},1.4e-1898,2.9e+1865},
    2093. 

  2093. {{10000.0,0.0},20468,{1.387136027206115e-4188,-2.018288229524841e+4187},1.4e-4204,2.0e+4171},
    2094. 

  2094. {{10000.0,0.0},26075,{3.402710534773112e-7804,-6.101780411131719e+7802},3.4e-7820,6.1e+7786},
    2095. 

  2095. {{10000.0,0.0},33218,{1.467628954663695e-13224,-1.075478687761038e+13223},1.5e-13240,1.1e+13207},
    2096. 

  2096. {{10000.0,0.0},42318,{5.445358924275546e-21134,-2.233007868840026e+21132},5.4e-21150,2.2e+21116},
    2097. 

  2097. {{10000.0,0.0},53911,{3.266521110728529e-32465,-2.889388190778695e+32463},3.3e-32481,2.9e+32447},
    2098. 

  2098. {{10000.0,0.0},68679,{2.775502574785064e-48480,-2.651272528165235e+48478},2.8e-48496,2.7e+48462},
    2099. 

  2099. {{10000.0,0.0},87493,{8.914211935647729e-70883,-6.453073029871699e+70880},8.9e-70899,6.5e+70864},
    2100. 

  2100. {{10000.0,0.0},111461,{2.619912559375462e-101959,-1.71914792791431e+101957},2.6e-101975,1.7e+101941},
    2101. 

  2101. {{10000.0,0.0},141995,{5.82392981843591e-144773,-6.061204591967546e+144770},5.8e-144789,6.1e+144754},
    2102. 

  2102. };
    2103.