Attachment 'Curves_FOUND_8-9-11.txt'

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   1 1024 32 ['?','?',-2,6,0,-4,-4,-8,6,-2,8,-8,6,-10,8,-12,-2,14,0,8,-8,-8,10,-6][0, 0, 0, -162*a - 135, 1026*a + 702]
   2 1025 -5*a + 35 [-1,-2,'?',-10,-4,-4,4,-4,2,-6,0,0,'?','?',12,-4,14,-2,8,-8,0,8,-18,6][a, 0, a + 1, 1, -6*a - 3]
   3 1025 5*a - 35 [1,5,'?',-5,-4,2,5,1,7,-6,-6,-3,'?','?',-6,7,-10,13,-7,-5,-6,-8,6,6][a, a, a + 1, -46*a - 31, -222*a - 136]
   4 1025 5*a - 35 [1,-4,'?',4,0,6,4,4,6,0,2,2,'?','?',-12,12,2,-10,-12,6,4,-8,0,6][1, a + 1, a, 4*a - 3, 2*a - 6]
   5 1025 -5*a + 35 [3,1,'?',-1,0,-2,-1,1,9,2,-6,-5,'?','?',14,-3,2,-9,-11,13,-14,4,2,-6][a, a + 1, a + 1, 24*a - 38, 68*a - 113]
   6 1025 5*a - 35 [-3,4,'?',-4,0,-2,-4,4,6,8,-6,10,'?',10,-4,-12,2,6,4,-2,4,16,8,6][a + 1, 0, 0, 42*a - 124, -412*a + 463]
   7 1031 -29*a + 10 [-2,-5,-2,-4,3,3,8,6,6,-8,-2,8,4,3,9,-6,-7,12,6,15,10,-13,2,11][0, a + 1, a, 25857*a - 41835, 2396223*a - 3877170]
   8 1039 29*a - 11 [-1,4,1,-2,0,5,-4,0,2,8,-1,-2,-10,5,11,6,-5,8,0,-3,8,-11,0,-3][1, a, 1, 8*a - 21, 14*a - 38]
   9 1044 -6*a + 36 ['?','?',2,1,5,-4,6,3,'?','?',-5,-2,2,5,2,8,-1,2,-9,-9,-12,9,4,-11][a + 1, a + 1, 1, -7*a + 3, -17*a - 8]
  10 1044 -6*a + 36 ['?','?',-3,11,3,0,5,2,'?','?',2,-1,9,0,6,0,-10,8,-9,-12,5,-4,-15,12][a, -a + 1, 1, -12*a - 5, -22*a - 12]
  11 1044 -6*a + 36 ['?','?',2,1,-1,4,2,1,'?','?',-5,-6,2,-3,10,4,-3,-2,-9,7,-8,1,8,13][1, a - 1, a, -6*a - 3, -9*a - 6]
  12 1045 -29*a + 17 [-1,4,'?',2,'?','?','?','?',6,6,-4,2,6,0,6,0,2,-4,0,-12,8,-4,-6,-6][1, 1, a + 1, -24*a - 18, 59*a + 41]
  13 1045 -29*a + 17 [3,2,'?',-2,'?','?','?','?',2,6,0,8,-6,2,-8,0,-2,-2,-8,-8,4,0,6,-10][a + 1, a + 1, 0, -7*a + 6, -5*a + 5]
  14 1045 -29*a + 17 [2,4,'?',8,-3,'?',-1,'?',3,-9,5,2,9,-9,-9,0,-10,2,-12,-9,-4,8,-6,-12][0, -a - 1, a, -136*a - 87, 1061*a + 646]
  15 1055 -a + 33 [-3,4,'?',-2,0,-1,6,-5,-10,3,10,4,6,9,9,2,4,5,10,-3,10,-16,10,-3][a, -a, a, -a + 1, -34*a - 34]
  16 1084 2*a - 34 ['?',1,2,2,1,2,-4,4,6,4,-1,-4,-7,-6,14,-4,-2,-2,6,16,4,-3,4,8][a, -a, 0, 22*a - 47, -93*a + 134] #####
  17 1084 2*a - 34 ['?',4,3,-1,-3,-3,-4,2,-3,0,2,2,0,0,0,-15,-1,2,3,0,-1,-13,6,-12][1, a, a + 1, 493*a - 804, -6419*a + 10375]
  18 1089 -30*a + 21 [-1,'?',2,-2,'?','?',4,4,-6,-2,8,-8,-6,-2,12,12,-2,2,8,-8,16,-8,-2,14][1, 1, a + 1, -4*a + 6, 3*a + 5]
  19 1089 33 [-3,'?',-2,2,'?','?',0,0,-6,-6,-8,-8,-2,-2,-4,-4,6,6,0,0,-4,-4,-6,-6][1, 1, 0, -6, -9]
  20 1089 30*a - 21 [-2,'?',-2,11,2,'?',1,5,0,10,-8,5,12,2,6,0,-5,10,-16,-2,-11,-4,8,16][0, -1, a + 1, 163*a - 263, 1142*a - 1847]
  21 1100 -30*a + 10 ['?',-4,'?',1,'?','?',4,4,9,0,2,-7,6,-3,9,0,11,2,-15,12,1,-17,-6,-6][a + 1, -a + 1, 0, 6*a - 10, 12*a - 22]
  22 1100 -30*a + 10 ['?',0,'?',5,'?','?',0,0,5,0,2,7,2,7,-5,0,-13,2,-3,-8,-5,15,10,-10][a, -a - 1, a, 11*a + 3, -16*a - 14]
  23 1100 -30*a + 10 ['?',4,'?',-1,'?','?',-4,-4,-9,0,2,-7,6,-3,-9,0,11,2,-15,12,-1,17,6,6][1, -a + 1, a, 84*a - 138, -400*a + 653]
  24 1100 -30*a + 10 ['?',-4,'?',-2,'?','?',4,-8,6,0,-10,-4,-6,0,6,-12,2,14,-12,0,10,-8,-6,6][a + 1, -a + 1, 1, 45*a - 49, -89*a + 152]
  25 1100 30*a - 10 ['?',2,'?',-2,0,'?',4,4,-6,6,-4,8,-6,6,0,12,14,-10,0,0,4,-8,6,6][1, -a, 1, 316*a - 534, 3501*a - 5624] #####
  26 1100 30*a - 10 ['?',0,'?',10,2,'?',0,0,10,0,2,-8,2,-8,-10,0,2,2,12,-8,-10,0,-10,10][a, -a - 1, 0, 89*a - 144, 418*a - 725]
  27 1111 3*a - 35 [-1,4,3,-4,'?','?',-1,5,-6,9,8,11,-6,-9,-12,-6,-1,-4,12,-12,14,2,-6,3][a, -a, 1, 89*a - 144, -464*a + 750]
  28 1116 30*a - 18 ['?','?',2,-2,2,-4,6,6,6,0,4,'?',2,2,-10,2,2,8,0,0,0,-12,-14,-2][1, -a - 1, 0, 109*a - 186, -703*a + 1129]
  29 1116 30*a - 18 ['?','?',2,-2,2,6,-4,-4,-4,10,4,'?',-8,12,10,-8,2,-2,-10,0,0,8,-14,-12][1, a - 1, 0, -534*a - 340, 7044*a + 4340]
  30 1156 34 ['?',5,2,14,-6,-6,7,7,5,5,5,5,0,0,-5,-5,-3,-3,-15,-15,-8,-8,1,1][a + 1, -a - 1, 1, -4*a - 4, -5*a - 4]
  31 1189 a - 35 [-2,4,3,6,2,1,2,-5,'?','?',2,-4,'?','?',9,-4,-14,-8,8,5,-7,-8,15,12][0, 1, a, 45*a - 74, 192*a - 313]
  32 1195 31*a - 13 [-3,-2,'?',-12,-2,6,4,-8,0,-8,-2,-6,-2,-10,8,4,-6,-10,0,8,16,8,-10,0][a, 0, 1, -6*a + 3, -2*a - 4]
  33 1201 -31*a + 16 [-3,2,0,-4,-3,-3,5,-2,-9,-2,2,-4,-5,-2,5,-6,2,-12,-5,-1,-4,-9,4,18][a, a, a + 1, 47*a - 80, -208*a + 330]
  34 1216 32*a - 8 ['?',-1,1,-8,2,5,'?','?',-2,1,9,-9,2,2,-6,0,-4,8,11,8,11,5,9,0][0, 0, 0, -15093000*a - 9327987, -48472894584*a - 29957896386]
  35 1216 -32*a + 8 ['?',1,1,4,2,3,'?','?',-6,-9,1,9,-10,6,-10,4,8,0,3,8,3,3,1,-8][0, 0, 0, 81*a - 135, 432*a - 3618]
  36 1220 -2*a + 36 ['?',5,'?',-10,-3,2,0,0,0,-5,2,7,2,2,0,-5,'?','?',-3,2,5,-10,10,15][a, a - 1, a, -22*a, 64]
  37 1220 2*a - 36 ['?',2,'?',5,0,-1,6,0,7,6,-9,0,8,0,-4,7,'?','?',-10,5,-1,-10,17,-14][1, -a - 1, 0, 53*a - 82, 209*a - 339]
  38 1225 35 [4,5,'?','?',-3,-3,-2,-2,-3,-3,-4,-4,-12,-12,0,0,8,8,0,0,1,1,12,12][0, -a + 1, 1, -7*a - 6, -11*a - 10]
  39 1255 -32*a + 11 [0,0,'?',6,-3,-4,-7,-6,5,4,-5,7,-3,-10,7,0,8,-1,-3,-2,-5,7,-2,17][0, 0, 1, -2*a - 7, -3*a - 8]
  40 1255 -32*a + 11 [0,4,'?',-10,5,0,-1,-2,3,8,-5,-9,-3,-10,9,8,-8,7,13,2,13,-15,2,7][0, -a - 1, 1, -10, 2*a - 10]
  41 1255 -32*a + 11 [0,0,'?',0,-3,2,5,0,5,10,7,7,-3,2,-5,0,2,-13,-3,-8,-5,-5,10,5][0, 0, 1, 310*a - 517, -3255*a + 5255]
  42 1271 -32*a + 13 [-2,2,1,-4,-4,-5,-2,-7,2,-3,'?','?','?','?',9,0,8,0,-10,3,-3,-4,-1,0][0, a - 1, a, 30*a - 49, -114*a + 184]
  43 1280 32*a - 16 ['?',6,'?',-2,4,-4,-4,4,-2,-2,8,-8,6,6,-4,4,2,2,0,0,0,0,-6,-6][0, 0, 0, -2*a - 2, -2*a - 1]
  44 1280 32*a - 16 ['?',-2,'?',6,4,4,4,-4,-10,6,0,8,6,-10,4,12,2,2,8,0,0,-16,10,10][0, a + 1, 0, a + 1, 0]
  45 1291 2*a + 35 [-1,1,-2,4,3,-5,-2,-4,0,1,3,-7,5,-9,-9,-10,1,-6,3,-4,-1,4,-3,10][a + 1, -1, 0, -66*a - 45, 304*a + 193]
  46 1296 36 ['?','?',-2,-2,4,4,0,0,-6,-6,4,4,10,10,4,4,2,2,0,0,12,12,-10,-10][0, 0, 0, -24*a - 24, 76*a + 57]
  47 1321 3*a - 38 [2,5,-2,10,0,-2,8,0,9,-3,-1,-9,2,6,-13,4,0,5,-9,-13,6,-1,3,12][0, a, a, 7*a - 9, 7*a - 12]
  48 1324 6*a - 40 ['?',0,-3,4,-2,-1,6,2,6,0,5,9,0,5,-12,4,4,1,-5,-5,4,-2,3,7][1, -1, a + 1, 371*a - 606, 4063*a - 6572]
  49 1331 33*a - 11 [1,1,3,13,'?','?',2,-2,3,-9,4,-2,-9,6,6,-12,-7,-11,12,-12,8,-14,6,3][a + 1, -a, 0, 10*a + 16, 17*a - 43]
  50 1331 -33*a + 11 [3,1,1,-1,'?','?',-6,-6,-3,3,4,10,-5,10,-10,-4,-3,3,-12,12,-16,14,-6,-15][0, 0, 0, -4122575271*a - 2547891639, -152431815268008*a - 94208042802474]
  51 1331 -33*a + 11 [0,-5,-1,10,'?','?',0,0,0,0,-7,-7,-8,8,5,5,12,-12,-3,-3,-10,10,-15,-15][0, 0, 0, -4178304*a - 2584656, 8907081408*a + 5504801040]
  52 1331 33*a - 11 [0,-1,3,-6,'?','?',-2,6,6,6,9,-3,6,6,-3,-3,-8,12,-15,-3,8,-6,-15,-3][0, 0, 0, -15984*a + 16416, -1670976*a - 1998000]
  53 1364 8*a + 34 ['?',2,-2,-6,'?','?',4,0,-2,10,'?','?',10,2,-12,4,2,-2,4,4,4,8,14,2][a + 1, a, 0, -2*a - 12, -20*a - 24]
  54 1364 -2*a + 38 ['?',0,2,2,'?','?',-6,8,6,4,'?','?',-6,-2,4,0,-10,10,-12,-2,-4,16,14,6][a + 1, 1, 1, -16*a - 18, -71*a - 43]
  55 1364 2*a - 38 ['?',1,3,-1,'?','?',5,-1,-6,-6,'?','?',-3,0,6,-3,-13,5,-3,12,-4,-1,15,6][a + 1, a - 1, a, -5*a - 5, 4*a + 1]
  56 1364 -2*a + 38 ['?',-5,-3,-13,'?','?',-1,-7,6,-6,'?','?',9,-12,-6,-15,5,5,3,-12,-4,11,9,6][1, a, a, -14*a - 3, 12*a + 15]
  57 1369 37 [-4,-5,0,-13,3,3,2,2,-6,-6,-4,-4,-9,-9,12,12,8,8,-15,-15,-10,-10,6,6][0, 1, 1, -3, 1]
  58 1395 3*a - 39 [1,'?','?',10,0,4,0,4,10,6,'?','?',6,-2,0,4,-10,-6,0,-8,0,8,-14,-2][a, a - 1, 1, 5*a - 9, 5*a - 9]
  59 1396 -34*a + 10 ['?',-2,-2,-1,-3,3,6,-5,-1,-2,-7,-10,-5,-3,5,3,-6,6,-1,-16,7,1,-12,13][1, 1, a + 1, -3*a - 24, -9*a - 56]
  60 1420 34*a - 12 ['?',-1,'?',10,-2,-2,8,3,6,4,-2,10,-4,3,12,-4,-4,5,'?','?',-11,-6,-6,8][a, a, 0, -2*a + 5, 27*a - 50]
  61 1420 34*a - 12 ['?',1,'?',-4,-3,3,-1,2,9,6,8,-4,-6,3,-3,3,5,-4,'?','?',8,-10,12,0][a + 1, -1, a, a - 4, 5*a]
  62 1420 -34*a + 12 ['?',1,'?',-4,3,3,-7,2,3,-6,-4,-4,6,-3,-3,-3,-1,8,0,'?',8,-10,0,0][a, -a, a, -85*a - 41, 420*a + 289]
  63 1420 -34*a + 12 ['?',1,'?',6,2,-2,4,7,-6,-4,-2,6,4,-7,-8,8,0,1,0,'?',13,10,2,0][1, 0, 0, 2*a - 72, -206*a + 108]
  64 1439 2*a + 37 [1,2,-2,10,6,2,4,-3,1,-4,1,2,-9,-2,14,9,11,-7,-12,15,-5,8,-9,-6][1, -a, a, -18*a - 9, -33*a - 20]
  65 1444 38 ['?',-5,0,-13,-6,-6,'?','?',9,9,-4,-4,0,0,9,9,-10,-10,-6,-6,-10,-10,-12,-12][1, 0, 1, -16, 22]
  66 1444 -34*a + 18 ['?',1,4,9,-4,3,'?','?',-4,8,0,-2,11,-10,-5,-3,0,-2,-14,-2,12,-4,3,-9][1, -a + 1, 1, 5*a - 3, 11*a - 10]
  67 1444 -34*a + 18 ['?',-1,-3,-4,6,-3,'?','?',-6,-3,5,-5,-6,6,-6,-12,-8,-8,-9,0,-1,1,9,0][0, 0, 0, 9602847*a + 5935410, 132656163912*a + 81986019750]
  68 1444 -34*a + 18 ['?',-1,4,9,4,-3,'?','?',-4,-8,0,2,-11,-10,5,-3,0,2,-14,2,12,4,3,9][0, 0, 0, 30987792*a + 19151181, -172467944496*a - 106591055922]
  69 1444 -34*a + 18 ['?',5,-1,10,0,5,'?','?',0,5,-7,5,-10,8,10,10,-10,0,3,0,-5,15,5,0][0, 0, 0, -617679*a - 380511, -1185045768*a - 732367170]
  70 1445 34*a - 17 [-3,-2,'?',-10,2,2,0,0,-6,-6,-10,-10,10,10,8,8,-14,-14,-2,-2,-14,-14,6,6][1, 1, 0, -8, -13]
  71 1471 3*a + 37 [3,4,-4,6,3,-5,4,2,6,1,-1,0,-7,-5,6,-6,-14,-1,-3,16,2,15,9,6][a + 1, a - 1, 0, 350*a - 565, 3581*a - 5794]
  72 1471 3*a + 37 [-3,-4,-4,4,-2,0,-4,8,-6,-6,4,0,-2,10,4,-4,-4,-6,12,6,8,10,6,-6][a + 1, -a + 1, a, 22*a - 41, 83*a - 139]
  73 1476 -6*a + 42 ['?','?',0,2,-2,-6,0,4,-4,-8,0,0,'?','?',10,-14,6,-10,-12,12,0,-8,-6,2][1, -a, 0, -a, -7*a - 3]
  74 1516 -2*a + 40 ['?',-1,0,11,-2,-4,-1,-2,2,-9,-2,0,-2,-4,12,-6,0,-12,15,-15,14,-11,1,-4][a + 1, -a - 1, 0, 5*a - 5, 4*a - 11]
  75 1516 2*a - 40 ['?',4,0,-4,3,6,-1,-7,-3,6,-7,-10,3,-9,12,-6,-10,8,0,15,-1,-16,-9,6][1, 1, 0, -80*a - 85, 544*a + 237]
  76 1519 -35*a + 21 [-3,-4,2,'?',0,0,-6,0,-10,2,'?','?',2,-10,-4,-4,-2,-2,4,10,-16,2,6,0][a, -1, a, -7*a - 5, -7*a - 3]
  77 1520 -8*a - 36 ['?',2,'?',6,-4,4,'?','?',-2,10,4,0,6,-10,-4,12,-14,-6,12,16,0,8,-6,-2][0, -a, 0, 3*a - 9, 10*a - 10]
  78 1521 39 [4,'?',-2,13,-1,-1,4,4,8,8,-4,-4,-9,-9,-4,-4,-11,-11,-1,-1,-1,-1,15,15][0, a - 1, 1, -a, -5*a - 4]
  79 1529 -35*a + 16 [-3,-5,1,11,'?','?',-4,0,-1,-4,-8,3,-2,-9,-5,1,-2,-5,8,-6,-6,-14,-15,9][1, 0, 0, 11*a - 28, -37*a + 54]
  80 1539 36*a - 9 [-1,'?',0,-10,-6,0,'?','?',6,0,-4,-4,6,-12,6,-6,2,14,6,-6,-4,8,-6,-12][0, 0, 0, -648*a - 411, 50600*a + 31238]
  81 1549 3*a - 41 [1,-2,-1,-10,-6,-3,-2,0,7,0,8,-5,2,-10,13,0,-6,-6,11,0,-2,-6,17,15][1, a, a + 1, 50*a - 82, -213*a + 343]
  82 1555 6*a + 37 [-2,1,'?',1,-5,0,-7,-6,-1,-2,-2,1,6,2,-11,-12,-6,3,-9,12,6,6,6,-10][0, -a - 1, a, -6*a - 7, 23*a + 13]
  83 1556 -36*a + 26 ['?',1,-2,12,0,-3,1,-4,-3,-6,0,2,-9,-6,-13,6,10,-14,-15,-5,0,3,-9,14][a, a + 1, a, 14*a - 20, 28*a - 46]
  84 1571 -36*a + 25 [1,5,0,10,-2,-1,2,6,0,6,-5,5,-6,7,11,3,-11,-11,0,-10,6,-8,9,-6][1, -a, a, 12*a - 23, 33*a - 55]
  85 1580 4*a + 38 ['?',2,'?',-6,4,-4,4,-4,-2,6,0,0,2,-6,4,12,-2,-2,0,-8,'?','?',-6,-6][a, 1, a, -6*a + 2, -11*a + 12]
  86 1580 4*a + 38 ['?',4,'?',-4,0,0,2,2,-6,6,-4,-4,6,6,-6,-12,8,-10,6,12,'?','?',0,0][a, a + 1, 1, -3*a - 18, 23]
  87 1580 4*a + 38 ['?',-2,'?',2,6,0,2,-4,6,0,8,-4,0,6,-12,0,-4,14,0,0,'?','?',0,0][a + 1, a - 1, a, -17*a - 26, 66*a + 1]
  88 1580 4*a + 38 ['?',-2,'?',-10,-6,6,2,2,6,0,8,8,6,6,6,12,-4,-10,0,0,'?','?',-18,6][a + 1, -a, 1, -23*a + 1, 34*a + 23]
  89 1584 -36*a + 12 ['?','?',0,4,'?','?',4,2,6,2,8,-6,10,8,8,4,-2,-12,8,-12,-8,-2,-14,10][0, a, 0, 5*a - 12, -14*a + 16]
  90 1595 2*a + 39 [-1,4,'?',-4,'?','?',-4,-4,'?','?',-4,-4,6,6,-12,-6,8,8,-6,12,-10,8,-6,-6][a, a + 1, a, -8*a - 1, 6*a - 2]
  91 1595 2*a + 39 [-1,-2,'?',-10,'?','?',-4,-4,'?','?',8,-4,6,-6,0,0,-10,-10,0,0,8,-4,6,6][1, a, 1, -8*a - 9, 10*a + 11]
  92 1595 2*a + 39 [1,2,'?',-6,'?','?',-4,4,'?','?',8,0,-6,-6,4,-4,6,6,8,0,-8,-8,10,-6][1, -a - 1, a + 1, 8*a - 23, 15*a - 8]
  93 1595 -36*a + 23 [1,-4,'?',4,'?','?',-8,-2,'?','?',0,-2,0,4,10,0,10,2,12,-6,8,4,-6,10][a, 1, a + 1, -2*a - 5, 3*a - 3]
  94 1595 2*a + 39 [3,-2,'?',-2,'?','?',4,2,'?','?',-10,2,10,2,-8,-6,-12,2,12,8,0,-4,-2,6][a, 0, a, 29*a - 44, -82*a + 133]
  95 1595 2*a + 39 [-3,-2,'?',-2,'?','?',4,-4,'?','?',8,8,10,2,4,0,-6,2,-12,8,-12,8,10,-6][a + 1, a - 1, a, -10*a - 6, -23*a - 19]
  96 1595 36*a - 23 [-3,-4,'?',-4,4,'?',0,6,-6,'?',-8,-10,0,-4,-14,-8,10,-14,4,2,-8,-4,10,-6][1, -a, a, 138*a - 224, -907*a + 1449]
  97 1600 40 ['?',4,'?',-4,-4,0,0,8,8,0,4,-8,-6,6,-8,0,10,6,4,-8,16,0,8,-8][0, 0, 0, 61155*a - 99090, 8699400*a - 14076450] 
  98 1600 40 ['?',1,'?',-6,1,5,-5,7,-8,0,-6,2,9,1,8,0,10,-14,4,12,-6,10,17,-7][0, 0, 0, 13689*a - 22167, 923832*a - 1494666] 
  99 1600 40 ['?',-2,'?',6,4,-4,4,4,10,-6,0,8,-6,10,-4,12,-2,-2,-8,0,0,16,-10,-10][0, 0, 0, -15795*a - 9855, -1108620*a - 684990] 
 100 1600 40 ['?',-1,'?',6,1,5,5,-7,8,0,-6,2,9,1,-8,0,10,-14,4,12,6,-10,-17,7][0, 0, 0, 179280*a - 290115, -43750800*a + 70789950]
 101 1600 40 ['?',-3,'?',10,1,1,-1,-1,8,8,10,10,-3,-3,-8,-8,10,10,-12,-12,-6,-6,9,9][0, 0, 0, 25*a + 25, 200*a + 150]
 102 1600 40 ['?',6,'?',-2,4,4,-4,-4,2,2,-8,-8,-6,-6,4,4,-2,-2,0,0,0,0,6,6][0, 0, 0, -35*a - 35, 120*a + 90] 
 103 1600 40 ['?',3,'?',-10,1,1,1,1,-8,-8,10,10,-3,-3,8,8,10,10,-12,-12,6,6,-9,-9][0, 0, 0, 5, -10]
 104 1604 -36*a + 22 ['?',0,2,-2,2,-4,0,4,4,-4,-2,8,8,4,8,4,2,-10,-8,0,-12,0,-6,6][a, -a - 1, 0, -a - 8, -7]
 105 1604 -36*a + 22 ['?',-4,-2,-2,0,-2,-2,-4,-10,-6,6,0,0,4,-4,-6,8,-6,4,12,8,4,-10,-6][a, 1, a + 1, 5*a - 19, -13*a + 25]
 106 1604 -36*a + 22 ['?',0,-4,-5,2,2,0,-5,10,5,7,2,2,-8,5,10,2,2,-8,-3,0,15,15,15][1, -1, 0, 65*a - 104, -315*a + 509]
 107 1620 36*a - 18 ['?','?','?',2,0,0,-4,-4,6,6,8,8,6,6,0,0,-10,-10,0,0,8,8,-18,-18][1, -1, 1, -167, -709]
 108 1636 6*a + 38 ['?',-2,-3,14,3,3,2,2,0,-9,5,5,0,6,-6,0,-1,8,6,9,-1,-1,6,-15][1, 0, 0, -53*a - 33, 219*a + 134]
 109 1636 6*a + 38 ['?',-2,-1,2,-5,-3,-2,-6,4,-5,7,-7,0,6,6,4,-11,-8,10,-3,-11,3,14,9][a + 1, 0, 0, -8*a - 2, -12*a - 12]
 110 1636 6*a + 38 ['?',-2,4,2,0,2,8,-6,4,-10,-8,8,10,6,-14,4,4,2,0,-8,-16,8,-6,-6][a, 0, a + 1, -34*a - 20, 101*a + 60]
 111 1639 37*a - 27 [2,-2,3,-4,'?','?',-1,2,6,-6,5,-4,-12,-6,3,-6,5,14,-6,0,-10,14,0,15][0, 1, a, 2*a - 5, -2*a + 3]
 112 1655 -37*a + 26 [-1,-3,'?',1,4,3,5,3,-3,0,0,2,-6,5,0,5,15,6,8,16,-2,-8,14,-12][1, -1, a + 1, -390*a - 267, 4744*a + 2885]
 113 1661 4*a - 43 [-1,-2,0,-4,'?','?',-4,-4,6,0,-10,2,-6,-6,12,12,14,-10,0,12,-4,-4,-6,0][1, 0, a, -3*a - 13, 5*a + 17]
 114 1676 2*a - 42 ['?',4,-4,-10,-5,3,2,-6,-2,-4,-6,6,-6,-12,-4,3,-14,11,-6,2,6,-1,-1,6][a + 1, -a, a + 1, -17*a - 12, -20*a - 70]
 115 1676 -2*a + 42 ['?',-4,-1,8,-2,-2,-1,-8,2,-5,-10,4,0,0,11,4,-1,6,2,-12,10,17,-1,6][1, a + 1, a + 1, 18*a - 36, -51*a + 83]
 116 1681 41 [1,2,2,-6,-2,2,6,2,2,-6,8,-8,'?','?',-12,4,-6,10,-6,6,10,14,2,-14][1, a - 1, a, 150*a - 246, -1147*a + 1855]
 117 1681 41 [-2,2,-1,6,2,-5,2,-3,-6,-1,-2,2,'?','?',1,-12,-8,-12,-6,-9,-1,-2,13,-10][0, 0, 0, -56160*a - 34128, -7880112*a - 4859568]
 118 1681 37*a - 24 [-2,4,-1,6,2,5,-6,-1,-2,9,10,-4,'?','?',-3,4,-6,8,12,9,-11,4,-1,8][0, 0, 0, -200880*a - 124848, -56379888*a - 34890480]
 119 1681 37*a - 24 [1,-2,-4,12,5,2,6,-1,1,-3,4,-1,'?','?',9,4,12,8,0,9,-14,-5,-7,-1][0, 0, 0, 3261951*a - 5278230, -1572956496*a + 2545183998]
 120 1705 -37*a + 16 [-3,6,'?',10,'?','?',-4,-8,-2,6,'?','?',2,6,4,0,-10,2,0,12,12,4,10,-14][a + 1, 1, a + 1, 19*a - 33, 58*a - 96]
 121 1705 -37*a + 16 [-1,-5,'?',-1,'?','?',-8,7,-8,2,'?','?',-11,0,0,-13,7,-1,15,9,-8,-16,-3,-8][1, a, 1, -6*a + 1, 34*a - 9]
 122 1705 9*a - 47 [-1,4,'?',2,6,'?',2,2,-6,-6,'?',-10,6,6,12,0,8,14,6,12,-10,-16,0,-6][a, a + 1, a, -30*a - 30, 93*a + 42]
 123 1719 6*a + 39 [1,'?',4,-5,-5,3,3,1,6,-6,-3,0,11,-2,0,9,-8,13,8,0,-4,0,-3,-16][a, 1, a, -a + 1, 2*a - 5]
 124 1724 -38*a + 10 ['?',2,-4,-9,-4,-3,-2,5,-6,-8,-5,4,-10,6,-8,0,-6,-12,-14,-2,2,-2,14,9][a + 1, -a + 1, a, 19*a - 12, -8*a + 29]
 125 1724 -38*a + 10 ['?',2,-1,5,0,2,-1,4,1,1,9,-5,-4,6,5,10,3,2,-16,8,14,-6,8,1][a + 1, -a + 1, 0, 144*a - 232, 1088*a - 1728]
 126 1764 42 ['?','?',2,'?',-2,2,-2,6,0,8,4,-4,6,-6,-4,0,0,8,0,4,-8,8,6,-6][1, 0, a + 1, 4*a - 16, 9*a - 26]
 127 1764 42 ['?','?',2,'?',2,2,6,6,-6,-6,-2,-2,2,2,8,8,-10,-10,-6,-6,12,12,10,10][a + 1, -a - 1, 0, -16*a - 16, 0]
 128 1764 42 ['?','?',-2,'?',-2,-2,2,2,6,6,6,6,6,6,8,8,10,10,-14,-14,-4,-4,-10,-10][0, 0, 0, -18279*a - 18279, -13766328*a - 10324746]
 129 1775 -5*a + 45 [1,-3,'?',-6,-5,-5,4,-7,6,9,-2,-8,-3,6,-11,-3,0,1,'?','?',4,16,12,-16][0, 0, 0, -55*a + 65, -250]
 130 1791 9*a + 39 [-1,'?',-4,-2,4,0,4,-4,0,-4,8,4,0,2,10,-6,10,10,4,0,16,0,8,-8][1, -a - 1, 1, 31*a - 48, 92*a - 150]
 131 1795 3*a - 44 [-1,-2,'?',-10,0,-6,-4,2,6,0,-4,-4,0,-12,0,0,8,2,-6,0,-4,-10,6,12][a, -a + 1, a + 1, -3*a - 7, 8*a - 3]
 132 1804 6*a - 46 ['?',-2,-3,-13,'?','?',-1,-7,0,0,-1,-7,'?','?',-12,0,-10,8,6,-3,11,5,-6,-15][a + 1, 0, 1, -5*a + 1, -2*a - 4]
 133 1804 -38*a + 20 ['?',5,1,10,'?','?',0,5,0,-10,2,-8,'?','?',15,-10,-13,12,-8,2,-15,10,5,-10][a + 1, -a + 1, 1, -4*a + 6, -5*a + 10]
 134 1805 38*a - 19 [3,-2,'?',2,0,0,'?','?',6,2,-8,4,-6,10,-4,12,6,-2,0,-12,-8,0,-6,-2][a + 1, -1, 1, -36, -79*a + 46]
 135 1805 -a + 43 [1,2,'?',2,0,0,'?',-4,6,6,8,4,6,-6,-12,12,-14,10,0,-12,8,16,-6,-6][a + 1, -a + 1, a + 1, -62*a - 86, -411*a - 311]
 136 1829 4*a + 41 [-1,4,0,6,4,6,6,-8,6,2,'?','?',2,-6,'?','?',6,8,-10,-12,16,12,2,-2][a + 1, -a, a, -28*a - 20, -89*a - 52]
 137 1831 -7*a - 40 [0,-4,-2,-8,-2,3,4,2,3,-5,-4,-5,-3,-4,0,-12,-7,-5,10,0,1,0,-1,4][0, a, 1, 3*a - 2, -a + 3]
 138 1831 7*a + 40 [-3,-1,3,10,-3,-5,5,8,2,-5,10,2,8,6,1,0,-10,14,10,4,-8,-10,-15,10][a + 1, -a - 1, a + 1, 271*a - 442, 2558*a - 4140]
 139 1856 -8*a + 48 ['?',-2,2,10,4,0,4,-4,'?','?',8,8,10,6,-4,0,-6,-10,-4,8,4,-8,10,-14][0, 0, 0, 729*a - 1431, 2484*a + 4590]
 140 1871 39*a - 14 [2,-2,0,-4,3,6,2,5,-6,-9,-7,5,0,9,0,-6,-10,8,0,15,5,-1,-15,-3][0, -1, a + 1, 3*a - 7, -6*a + 10]
 141 1879 -9*a + 49 [0,-2,3,-2,0,3,0,1,7,6,-2,0,10,-2,12,0,14,-14,5,-13,8,-13,0,-14][0, a + 1, 1, 97*a - 155, 555*a - 898]
 142 1881 39*a - 24 [2,'?',3,2,'?','?','?','?',-6,-3,-4,-4,-9,-9,-9,6,-4,-7,6,3,11,-1,3,6][0, -1, a + 1, -10*a - 4, 16*a + 15]
 143 1900 40*a - 10 ['?',1,'?',6,-1,-2,'?','?',-1,8,-5,0,6,-4,1,3,13,3,-9,-5,9,-11,-6,-10][1, a, a + 1, -9, -11*a - 17]
 144 1900 -40*a + 10 ['?',5,'?',0,2,-3,'?','?',10,-5,-3,7,2,2,-10,0,12,-8,7,-8,-15,-5,15,0][a, -1, a + 1, -6*a + 2, -2*a - 3]
 145 1900 -40*a + 10 ['?',-5,'?',-10,-3,2,'?','?',-5,0,7,-8,2,-8,-5,-5,-13,-3,-13,-3,5,-5,10,-10][a, 0, a + 1, 1, -13*a + 18]
 146 1900 -40*a + 10 ['?',-1,'?',4,-6,3,'?','?',6,-3,5,5,6,6,-6,12,8,8,-9,0,1,1,-9,0][1, a + 1, 0, 2*a - 3, -4*a - 7]
 147 1916 4*a + 42 ['?',3,-2,-1,-6,-6,2,-7,4,-9,10,7,-9,-10,0,-6,-5,-11,8,5,4,-9,12,-12][a + 1, 1, a, 35*a - 57, 133*a - 216]
 148 1936 -40*a + 28 ['?',-2,0,-8,'?','?',-4,-2,6,-6,4,-2,-6,0,0,12,-10,-8,0,12,8,10,-6,-6][0, -1, 0, -41*a + 25, 19*a - 107]
 149 1951 -40*a + 27 [1,-5,1,2,4,2,0,8,-8,-1,8,11,10,0,4,-11,0,12,-12,13,-4,-11,-6,-6][a + 1, a - 1, a + 1, 86*a - 141, 422*a - 684]
 150 1964 -40*a + 14 ['?',4,0,10,5,0,4,-1,3,-4,-6,-1,4,-6,12,-15,-3,1,9,10,-8,9,-4,3][a + 1, a - 1, 0, -a - 5, -28*a + 25]
 151 1969 -9*a - 41 [-1,-2,0,2,'?','?',-4,-4,-6,-6,8,-10,12,0,-6,0,8,-10,12,0,8,-10,-6,-6][a, 0, a, 3*a - 14, -15*a + 14]
 152 1975 -40*a + 15 [3,2,'?',6,-2,-4,-2,8,2,0,0,4,12,-10,8,0,12,-10,0,0,'?','?',-12,-12][a, 1, 0, 2*a - 8, 4*a - 13]
 153 1975 40*a - 15 [-1,-4,'?',-4,2,-2,0,0,-6,4,-4,0,-6,2,-4,-12,-10,-14,-6,4,'?','?',0,0][a + 1, -a - 1, 0, -15*a - 25, 55*a + 60]
 154 1980 -6*a + 48 ['?','?','?',2,'?','?',-1,-1,0,9,-1,-4,12,9,6,-9,8,-1,3,-6,-10,-4,-18,12][a + 1, 0, 0, -28*a - 17, 71*a + 43]
 155 1996 -40*a + 18 ['?',5,-2,1,-5,-3,8,6,6,-2,-5,4,-6,-2,8,0,-8,13,12,4,17,12,-6,17][a + 1, a + 1, 0, 2*a - 4, -4*a - 8]

Attached Files

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  • [get | view] (2011-08-11 00:38:50, 71.7 KB) [[attachment:Completed.txt]]
  • [get | view] (2011-08-03 07:24:32, 4.0 KB) [[attachment:CurrentUnfound_49curves.txt]]
  • [get | view] (2011-08-12 22:35:44, 168.6 KB) [[attachment:Curves2k]]
  • [get | view] (2011-08-05 07:32:49, 17.7 KB) [[attachment:Curves_1000-2000_FOUND_8-5-11.txt]]
  • [get | view] (2011-08-08 17:37:05, 6.4 KB) [[attachment:Curves_1000-2000_FOUND_8-8-11_no_aps.txt]]
  • [get | view] (2011-08-05 07:00:45, 17.7 KB) [[attachment:Curves_1000-2000_FOUND_copy_ordered.txt]]
  • [get | view] (2011-08-05 07:33:03, 1.7 KB) [[attachment:Curves_1000-2000_MISSING_8-5-11.txt]]
  • [get | view] (2011-08-02 00:29:09, 12.5 KB) [[attachment:Curves_1000-2000_modjon.txt]]
  • [get | view] (2011-08-10 18:17:25, 19.1 KB) [[attachment:Curves_2000_Found_8-10-11.txt]]
  • [get | view] (2011-08-10 18:14:02, 19.1 KB) [[attachment:Curves_FOUND_8-10-11]]
  • [get | view] (2011-08-09 20:23:25, 18.0 KB) [[attachment:Curves_FOUND_8-9-11.txt]]
  • [get | view] (2011-08-10 18:14:35, 0.7 KB) [[attachment:Curves_MISSING_8-10-11]]
  • [get | view] (2011-08-09 20:22:47, 1.4 KB) [[attachment:Curves_MISSING_8-9-11.txt]]
  • [get | view] (2011-08-10 18:20:46, 0.7 KB) [[attachment:Curves_Missing_8-11-10.txt]]
  • [get | view] (2011-07-23 07:24:41, 146.8 KB) [[attachment:FindingCurvesAPs_updated.pdf]]
  • [get | view] (2011-06-22 22:43:03, 1329.1 KB) [[attachment:InitialCurveData.txt]]
  • [get | view] (2011-06-24 17:06:35, 248.0 KB) [[attachment:IsogenyTable2.txt]]
  • [get | view] (2011-06-24 21:12:40, 232.0 KB) [[attachment:IsogenyTable4.txt]]
  • [get | view] (2011-06-25 07:48:09, 460.0 KB) [[attachment:IsogenyTable7.txt]]
  • [get | view] (2011-08-09 17:13:45, 70.3 KB) [[attachment:List]]
  • [get | view] (2011-07-28 21:32:05, 4.3 KB) [[attachment:MJFound_1.txt]]
  • [get | view] (2011-08-08 23:55:49, 1.7 KB) [[attachment:Missing_aps_corrected.txt]]
  • [get | view] (2011-06-29 19:46:43, 643.0 KB) [[attachment:Paired_Table.txt]]
  • [get | view] (2011-06-22 23:17:30, 154.0 KB) [[attachment:Prime_Isogenies_Over_Number_Fields.pdf]]
  • [get | view] (2011-07-18 21:16:27, 151.0 KB) [[attachment:TorsionFamilies.pdf]]
  • [get | view] (2011-07-28 19:45:05, 3.4 KB) [[attachment:Unmatched.txt]]
  • [get | view] (2011-07-30 00:07:35, 13.9 KB) [[attachment:Unmatched2k.txt]]
  • [get | view] (2011-08-09 17:51:01, 102.2 KB) [[attachment:isogeny_bound_computations.txt]]
  • [get | view] (2011-06-24 14:41:47, 5047.9 KB) [[attachment:isogeny_degrees.txt]]
  • [get | view] (2011-06-29 23:21:56, 252.3 KB) [[attachment:isogeny_partial_output.txt]]
  • [get | view] (2011-06-24 18:28:34, 938.2 KB) [[attachment:matched.txt]]
  • [get | view] (2011-07-28 21:30:56, 4.3 KB) [[attachment:mjfound_1.txt]]
  • [get | view] (2011-06-23 23:16:42, 1329.1 KB) [[attachment:modifiedellipticcurvedatafile.txt]]
  • [get | view] (2011-07-02 01:03:20, 1320.0 KB) [[attachment:modifiedellipticcurvedatafile2.txt]]
  • [get | view] (2011-07-01 23:11:47, 230.5 KB) [[attachment:modifiedjinv2.txt]]
  • [get | view] (2011-07-02 00:30:36, 170.3 KB) [[attachment:modifiedjinv3.txt]]
  • [get | view] (2011-07-23 01:28:28, 0.3 KB) [[attachment:new_curves_found_via_modjon.txt]]
  • [get | view] (2011-07-26 20:59:44, 0.6 KB) [[attachment:new_curves_found_via_modjon_version2.txt]]
  • [get | view] (2011-07-04 05:06:33, 1.7 KB) [[attachment:new_curves_via_twist.txt]]
  • [get | view] (2011-06-21 23:32:44, 80.3 KB) [[attachment:ohana1.pdf]]
  • [get | view] (2011-07-07 22:02:03, 34.4 KB) [[attachment:unfound_curves.txt]]
  • [get | view] (2011-06-30 18:23:32, 819.6 KB) [[attachment:updated_list.txt]]
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