{ "Index":215, "Name":"10_131", "RolfsenName":"10_131", "DTname":"10n_19", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{6, -15, 8, 2, 14, 18, 20, -3, 12, 10}", "Acode":"{4, -8, 5, 2, 8, 10, 1, -2, 7, 6}", "PDcode":[ "{1, 7, 2, 6}", "{4, 15, 5, 16}", "{5, 9, 6, 8}", "{7, 3, 8, 2}", "{9, 15, 10, 14}", "{11, 19, 12, 18}", "{13, 1, 14, 20}", "{16, 3, 17, 4}", "{17, 13, 18, 12}", "{19, 11, 20, 10}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{1, 4, 8}", [], [ "{1, 4, 2, 1}", "{4, 2, 5, 1}", "{5, 8, 6, 1}", "{8, -2, 9, 1}", "{4, 5, 3, 2}", "{8, 1, 7, 2}", "{1, 6, 10, 2}" ], "{2, 9}", "{6}", 6 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a*b + a^2*u^2 - u^3", "-b^2 - u + u^2 + a*b*u^2 + u^3 - u^5", "-1 + a + b - u^2 - a*u^2 - a^2*u^2 - 2*a^2*b*u^2 + a^3*b*u^2 + b^2*u^2 - 3*a*b^2*u^2 + 2*a^2*b^2*u^2 - b^3*u^2 + a*b^3*u^2 + u^4 + 2*a^2*u^4 + a^3*u^4 + 2*a^2*b*u^4 - 2*a^3*b*u^4 + a*b^2*u^4 - 2*a^2*b^2*u^4 - a^2*u^6 + a^3*b*u^6", "b + u^2 + b*u^2 - 2*a*b*u^2 - 2*b^2*u^2 - 2*a*b^2*u^2 + a^2*b^2*u^2 - b^3*u^2 + 2*a*b^3*u^2 + b^4*u^2 - 2*u^4 - a*u^4 + 4*a*b*u^4 + a^2*b*u^4 + 2*b^2*u^4 + a*b^2*u^4 - 2*a^2*b^2*u^4 - 2*a*b^3*u^4 + u^6 - 2*a*b*u^6 + a^2*b^2*u^6" ], "TimingForPrimaryIdeals":0.116032 }, "v":{ "CheckEq":[ "-b^2", "1 - a*b - v", "-1 + a + b + b^2*v^2 + a*b^3*v^2", "b + b^4*v^2" ], "TimingForPrimaryIdeals":7.183300000000001e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_131_0", "Generators":[ "15 + 4*b + 16*u - 47*u^2 - 12*u^3 + 138*u^4 + 48*u^5 - 84*u^6 - 10*u^7 + 121*u^8 - 42*u^9 - 193*u^10 - 90*u^11 + 101*u^12 + 112*u^13 + 20*u^14 - 31*u^15 - 21*u^16 - 5*u^17", "25 + 4*a + 28*u - 81*u^2 - 52*u^3 + 226*u^4 + 136*u^5 - 108*u^6 - 54*u^7 + 239*u^8 - 18*u^9 - 367*u^10 - 270*u^11 + 151*u^12 + 252*u^13 + 84*u^14 - 57*u^15 - 51*u^16 - 15*u^17", "-1 - 3*u + u^2 + 7*u^3 - 6*u^4 - 22*u^5 - 4*u^6 + 10*u^7 - 5*u^8 - 15*u^9 + 17*u^10 + 35*u^11 + 11*u^12 - 21*u^13 - 20*u^14 - 3*u^15 + 6*u^16 + 4*u^17 + u^18" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.266e-2, "TimingZeroDimVars":7.818e-2, "TimingmagmaVCompNormalize":7.9707e-2, "TimingNumberOfSols":0.180774, "TimingIsRadical":1.4976000000000001e-2, "TimingArcColoring":8.1692e-2, "TimingObstruction":3.9508e-2, "TimingComplexVolumeN":1.6268971e1, "TimingaCuspShapeN":9.074700000000002e-2, "TiminguValues":0.685985, "TiminguPolysN":3.5767e-2, "TiminguPolys":0.875976, "TimingaCuspShape":0.127176, "TimingRepresentationsN":0.175286, "TiminguValues_ij":0.205944, "TiminguPoly_ij":2.101629, "TiminguPolys_ij_N":8.739100000000001e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":18, "IsRadical":true, "ArcColoring":[ "{1, 0}", [ 1, "u^2" ], [ "u^3", "u - u^3 + u^5" ], [ 0, "u" ], [ "-u", "u - u^3" ], [ "(5 - 6*u + u^2 - 12*u^3 + 18*u^4 + 4*u^5 - 10*u^7 + 15*u^8 - 17*u^10 - 18*u^11 + 7*u^12 + 14*u^13 + 6*u^14 - 3*u^15 - 3*u^16 - u^17)\/4", "(1 + 2*u + 5*u^2 - 12*u^3 + 14*u^4 + 4*u^5 - 10*u^7 + 15*u^8 - 17*u^10 - 18*u^11 + 7*u^12 + 14*u^13 + 6*u^14 - 3*u^15 - 3*u^16 - u^17)\/4" ], [ "-10 - 11*u + 32*u^2 + 16*u^3 - 91*u^4 - 46*u^5 + 48*u^6 + 16*u^7 - 90*u^8 + 15*u^9 + 140*u^10 + 90*u^11 - 63*u^12 - 91*u^13 - 26*u^14 + 22*u^15 + 18*u^16 + 5*u^17", "(-15 - 16*u + 47*u^2 + 12*u^3 - 138*u^4 - 48*u^5 + 84*u^6 + 10*u^7 - 121*u^8 + 42*u^9 + 193*u^10 + 90*u^11 - 101*u^12 - 112*u^13 - 20*u^14 + 31*u^15 + 21*u^16 + 5*u^17)\/4" ], [ "(-25 - 28*u + 81*u^2 + 52*u^3 - 226*u^4 - 136*u^5 + 108*u^6 + 54*u^7 - 239*u^8 + 18*u^9 + 367*u^10 + 270*u^11 - 151*u^12 - 252*u^13 - 84*u^14 + 57*u^15 + 51*u^16 + 15*u^17)\/4", "(-15 - 16*u + 47*u^2 + 12*u^3 - 138*u^4 - 48*u^5 + 84*u^6 + 10*u^7 - 121*u^8 + 42*u^9 + 193*u^10 + 90*u^11 - 101*u^12 - 112*u^13 - 20*u^14 + 31*u^15 + 21*u^16 + 5*u^17)\/4" ], [ "(-31 - 32*u + 99*u^2 + 44*u^3 - 286*u^4 - 128*u^5 + 124*u^6 + 50*u^7 - 273*u^8 + 66*u^9 + 421*u^10 + 282*u^11 - 193*u^12 - 280*u^13 - 88*u^14 + 67*u^15 + 57*u^16 + 17*u^17)\/4", "(-17 - 20*u + 49*u^2 + 20*u^3 - 146*u^4 - 88*u^5 + 60*u^6 + 46*u^7 - 135*u^8 + 18*u^9 + 223*u^10 + 174*u^11 - 95*u^12 - 164*u^13 - 60*u^14 + 37*u^15 + 35*u^16 + 11*u^17)\/4" ], [ "(-9 - 24*u + 33*u^2 + 68*u^3 - 158*u^4 - 96*u^5 + 48*u^6 + 78*u^7 - 163*u^8 - 2*u^9 + 223*u^10 + 198*u^11 - 91*u^12 - 168*u^13 - 64*u^14 + 37*u^15 + 35*u^16 + 11*u^17)\/4", "(-5 - 9*u + 16*u^2 + 16*u^3 - 58*u^4 - 34*u^5 + 26*u^6 + 24*u^7 - 61*u^8 - u^9 + 86*u^10 + 72*u^11 - 35*u^12 - 63*u^13 - 23*u^14 + 14*u^15 + 13*u^16 + 4*u^17)\/2" ] ], "Obstruction":-1, "ComplexVolumeN":[ -2.12974, "4.97233 - 2.95811*I", "4.97233 + 2.95811*I", "2.07423 - 1.22055*I", "2.07423 + 1.22055*I", "5.67221 + 1.09047*I", "5.67221 - 1.09047*I", "5.25155 + 5.76942*I", "5.25155 - 5.76942*I", "-0.575696 - 1.11682*I", "-0.575696 + 1.11682*I", "2.36168 + 3.34376*I", "2.36168 - 3.34376*I", "12.5088 - 2.04734*I", "12.5088 + 2.04734*I", "11.547 + 9.465*I", "11.547 - 9.465*I", -1.60276 ], "uPolysN":[ "-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18", "8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18", "1 + 11*u + 55*u^2 + 185*u^3 + 406*u^4 + 710*u^5 + 948*u^6 + 1478*u^7 + 1821*u^8 + 1791*u^9 + 1551*u^10 + 1105*u^11 + 673*u^12 + 357*u^13 + 160*u^14 + 59*u^15 + 20*u^16 + 4*u^17 + u^18", "-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18", "1 - 5*u^2 + 25*u^3 - 70*u^4 + 180*u^5 - 196*u^6 + 298*u^7 - 93*u^8 + 38*u^9 + 129*u^10 - 139*u^11 + 155*u^12 - 90*u^13 + 66*u^14 - 22*u^15 + 13*u^16 - 2*u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18", "-17 + 18*u + 23*u^2 + 137*u^3 - 66*u^4 + 190*u^5 - 12*u^6 + 12*u^7 + 155*u^8 - 110*u^9 + 167*u^10 - 43*u^11 + 67*u^12 + 6*u^13 + 28*u^14 + 4*u^15 + 7*u^16 + 2*u^17 + u^18", "8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18" ], "uPolys":[ "-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18", "8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18", "1 + 11*u + 55*u^2 + 185*u^3 + 406*u^4 + 710*u^5 + 948*u^6 + 1478*u^7 + 1821*u^8 + 1791*u^9 + 1551*u^10 + 1105*u^11 + 673*u^12 + 357*u^13 + 160*u^14 + 59*u^15 + 20*u^16 + 4*u^17 + u^18", "-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18", "1 - 5*u^2 + 25*u^3 - 70*u^4 + 180*u^5 - 196*u^6 + 298*u^7 - 93*u^8 + 38*u^9 + 129*u^10 - 139*u^11 + 155*u^12 - 90*u^13 + 66*u^14 - 22*u^15 + 13*u^16 - 2*u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18", "-17 + 18*u + 23*u^2 + 137*u^3 - 66*u^4 + 190*u^5 - 12*u^6 + 12*u^7 + 155*u^8 - 110*u^9 + 167*u^10 - 43*u^11 + 67*u^12 + 6*u^13 + 28*u^14 + 4*u^15 + 7*u^16 + 2*u^17 + u^18", "8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18" ], "aCuspShape":"-6 + (-17 - 21*u + 82*u^2 + 28*u^3 - 150*u^4 - 54*u^5 + 106*u^6 + 4*u^7 - 175*u^8 + 11*u^9 + 220*u^10 + 136*u^11 - 91*u^12 - 127*u^13 - 33*u^14 + 30*u^15 + 23*u^16 + 6*u^17)\/2", "RepresentationsN":[ [ "u->1.10588", "a->0.709778", "b->0.371475" ], [ "u->0.405572 + 0.756937 I", "a->-0.41571 - 1.35816 I", "b->0.62723 + 1.38475 I" ], [ "u->0.405572 - 0.756937 I", "a->-0.41571 + 1.35816 I", "b->0.62723 - 1.38475 I" ], [ "u->1.18921 + 0.282581 I", "a->-1.08823 - 0.703914 I", "b->-0.228913 - 1.07491 I" ], [ "u->1.18921 - 0.282581 I", "a->-1.08823 + 0.703914 I", "b->-0.228913 + 1.07491 I" ], [ "u->-0.889957 + 0.956699 I", "a->-0.521993 - 0.815508 I", "b->0.302646 + 1.12486 I" ], [ "u->-0.889957 - 0.956699 I", "a->-0.521993 + 0.815508 I", "b->0.302646 - 1.12486 I" ], [ "u->-1.02345 + 0.903197 I", "a->0.541017 + 1.17968 I", "b->0.695559 - 1.09883 I" ], [ "u->-1.02345 - 0.903197 I", "a->0.541017 - 1.17968 I", "b->0.695559 + 1.09883 I" ], [ "u->0.509257 + 0.343539 I", "a->0.442 + 1.35055 I", "b->-0.332296 - 0.405177 I" ], [ "u->0.509257 - 0.343539 I", "a->0.442 - 1.35055 I", "b->-0.332296 + 0.405177 I" ], [ "u->-0.550076 + 0.259421 I", "a->1.50952 - 0.24668 I", "b->0.98872 - 0.518259 I" ], [ "u->-0.550076 - 0.259421 I", "a->1.50952 + 0.24668 I", "b->0.98872 + 0.518259 I" ], [ "u->-0.841043 + 1.11238 I", "a->0.821468 + 0.551752 I", "b->-1.23861 - 1.79456 I" ], [ "u->-0.841043 - 1.11238 I", "a->0.821468 - 0.551752 I", "b->-1.23861 + 1.79456 I" ], [ "u->-1.13145 + 0.93287 I", "a->-0.73214 - 1.39 I", "b->-1.52394 + 1.51302 I" ], [ "u->-1.13145 - 0.93287 I", "a->-0.73214 + 1.39 I", "b->-1.52394 - 1.51302 I" ], [ "u->-0.441998", "a->-1.82163", "b->-0.952239" ] ], "Epsilon":1.25975, "uPolys_ij":[ "-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18", "1 + 11*u + 55*u^2 + 185*u^3 + 406*u^4 + 710*u^5 + 948*u^6 + 1478*u^7 + 1821*u^8 + 1791*u^9 + 1551*u^10 + 1105*u^11 + 673*u^12 + 357*u^13 + 160*u^14 + 59*u^15 + 20*u^16 + 4*u^17 + u^18", "1 + 11*u - 233*u^2 + 3289*u^3 - 22458*u^4 + 117174*u^5 - 236428*u^6 + 358030*u^7 - 175831*u^8 - 53953*u^9 + 77715*u^10 - 29215*u^11 + 11853*u^12 - 8875*u^13 + 4656*u^14 - 1409*u^15 + 248*u^16 - 24*u^17 + u^18", "639127 + 227049*u + 604579*u^2 + 6077563*u^3 + 8539624*u^4 + 2337514*u^5 - 3812456*u^6 - 2995550*u^7 + 290135*u^8 + 1397853*u^9 + 958187*u^10 + 411495*u^11 + 137273*u^12 + 33303*u^13 + 7154*u^14 + 1073*u^15 + 152*u^16 + 12*u^17 + u^18", "64 - 592*u + 1560*u^2 + 431*u^3 - 7368*u^4 + 8752*u^5 + 2608*u^6 - 17090*u^7 + 24356*u^8 - 15166*u^9 + 2930*u^10 - 2417*u^11 + 6604*u^12 - 6394*u^13 + 3290*u^14 - 1021*u^15 + 194*u^16 - 21*u^17 + u^18", "-33529 + 5049*u + 393659*u^2 + 196931*u^3 - 1558098*u^4 - 1700306*u^5 + 1265550*u^6 + 3855024*u^7 + 3860371*u^8 + 2388847*u^9 + 1035133*u^10 + 345143*u^11 + 96449*u^12 + 20997*u^13 + 4016*u^14 + 577*u^15 + 88*u^16 + 10*u^17 + u^18", "542056 - 295060*u + 2485652*u^2 - 4645619*u^3 - 9624996*u^4 + 23228952*u^5 - 7332726*u^6 - 15170228*u^7 + 20029936*u^8 - 13060594*u^9 + 3349668*u^10 + 733869*u^11 - 200676*u^12 - 23492*u^13 + 6252*u^14 + 271*u^15 - 114*u^16 + u^17 + u^18", "289 + 1106*u - 2159*u^2 + 28237*u^3 - 53958*u^4 + 32392*u^5 + 12216*u^6 - 29588*u^7 + 29415*u^8 - 32238*u^9 + 35437*u^10 - 29373*u^11 + 17335*u^12 - 7148*u^13 + 2180*u^14 - 486*u^15 + 89*u^16 - 10*u^17 + u^18", "7 - 49*u + 212*u^2 - 573*u^3 + 976*u^4 - 648*u^5 - 698*u^6 + 1356*u^7 - 425*u^8 - 261*u^9 - 24*u^10 + 117*u^11 + 91*u^12 - 95*u^13 + 7*u^14 + 5*u^15 + 7*u^16 - 5*u^17 + u^18", "1 + 10*u - 115*u^2 + 317*u^3 - 2326*u^4 + 18672*u^5 - 58724*u^6 + 78556*u^7 - 32361*u^8 - 20778*u^9 + 32333*u^10 - 23829*u^11 + 16087*u^12 - 9564*u^13 + 4128*u^14 - 1182*u^15 + 213*u^16 - 22*u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18", "61 + 253*u + 406*u^2 + 771*u^3 + 228*u^4 - 662*u^5 - 514*u^6 - 1366*u^7 + 9*u^8 + 2991*u^9 + 542*u^10 - 2389*u^11 - 397*u^12 + 701*u^13 + 183*u^14 - 77*u^15 - 23*u^16 + 3*u^17 + u^18", "8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18", "898457 + 11039273*u + 50879372*u^2 + 117866775*u^3 + 133079380*u^4 + 78380418*u^5 + 25531150*u^6 + 4369170*u^7 + 6476403*u^8 + 6360539*u^9 + 827426*u^10 - 973419*u^11 - 233815*u^12 + 60359*u^13 + 17875*u^14 - 669*u^15 - 219*u^16 + 5*u^17 + u^18", "91 + 70*u + 117*u^2 + 491*u^3 - 794*u^4 + 1578*u^5 - 938*u^6 + 1968*u^7 + 777*u^8 - 162*u^9 + 2591*u^10 - 1313*u^11 + 1577*u^12 - 460*u^13 + 332*u^14 - 50*u^15 + 29*u^16 - 2*u^17 + u^18", "-17 + 18*u + 23*u^2 + 137*u^3 - 66*u^4 + 190*u^5 - 12*u^6 + 12*u^7 + 155*u^8 - 110*u^9 + 167*u^10 - 43*u^11 + 67*u^12 + 6*u^13 + 28*u^14 + 4*u^15 + 7*u^16 + 2*u^17 + u^18", "-181 - 458*u + 2659*u^2 + 5971*u^3 - 4912*u^4 - 15806*u^5 + 7932*u^6 + 15868*u^7 - 407*u^8 - 26226*u^9 + 20391*u^10 - 1959*u^11 - 3491*u^12 + 998*u^13 + 286*u^14 - 114*u^15 - 17*u^16 + 6*u^17 + u^18", "1 + 10*u + 25*u^2 + 125*u^3 - 150*u^4 - 88*u^5 + 236*u^6 - 996*u^7 + 2567*u^8 - 3998*u^9 + 5301*u^10 - 6473*u^11 + 6279*u^12 - 4368*u^13 + 2104*u^14 - 686*u^15 + 145*u^16 - 18*u^17 + u^18", "8 + 20*u + 238*u^2 - 165*u^3 + 1316*u^4 + 178*u^5 + 474*u^6 + 3130*u^7 - 196*u^8 - 1150*u^9 + 1148*u^10 + 513*u^11 - 230*u^12 + 34*u^13 + 78*u^14 + 7*u^15 + 4*u^16 + 3*u^17 + u^18", "13 + 74*u + 183*u^2 + 531*u^3 + 1106*u^4 + 2122*u^5 + 2240*u^6 + 2584*u^7 + 2323*u^8 + 182*u^9 + 2119*u^10 - 1407*u^11 + 965*u^12 - 468*u^13 + 66*u^14 + 38*u^15 - u^16 - 4*u^17 + u^18", "79 + 28*u - 169*u^2 + 117*u^3 + 164*u^4 - 258*u^5 + 60*u^6 + 296*u^7 - 159*u^8 - 232*u^9 + 151*u^10 + 133*u^11 - 101*u^12 - 40*u^13 + 44*u^14 + 4*u^15 - 9*u^16 + u^18", "-2231 - 10172*u + 10611*u^2 + 130473*u^3 + 267058*u^4 + 262300*u^5 + 215662*u^6 + 127556*u^7 - 19641*u^8 + 3658*u^9 + 21619*u^10 - 16217*u^11 + 17505*u^12 - 10264*u^13 + 3714*u^14 - 752*u^15 + 119*u^16 - 12*u^17 + u^18", "1 - 5*u^2 + 25*u^3 - 70*u^4 + 180*u^5 - 196*u^6 + 298*u^7 - 93*u^8 + 38*u^9 + 129*u^10 - 139*u^11 + 155*u^12 - 90*u^13 + 66*u^14 - 22*u^15 + 13*u^16 - 2*u^17 + u^18", "3721 + 3586*u - 36985*u^2 + 546455*u^3 - 1520942*u^4 + 2014788*u^5 - 1419968*u^6 + 243232*u^7 + 539323*u^8 - 590904*u^9 + 298195*u^10 - 68833*u^11 - 4701*u^12 + 5838*u^13 - 258*u^14 - 298*u^15 - 3*u^16 + 10*u^17 + u^18", "-8221 - 9696*u + 78291*u^2 + 145295*u^3 - 67610*u^4 - 51710*u^5 - 175060*u^6 + 266560*u^7 + 1675*u^8 - 111576*u^9 + 59351*u^10 - 14133*u^11 + 5633*u^12 - 1700*u^13 + 616*u^14 - 88*u^15 + 25*u^16 - 4*u^17 + u^18", "5504449 + 4031428*u + 10014141*u^2 + 25595115*u^3 + 13376950*u^4 - 8765234*u^5 - 19543080*u^6 - 7904518*u^7 + 8042679*u^8 + 8527016*u^9 + 5294085*u^10 + 1631429*u^11 + 432133*u^12 + 81678*u^13 + 18474*u^14 - 164*u^15 + 271*u^16 - 6*u^17 + u^18" ], "GeometricComponent":"{16, 17}", "uPolys_ij_N":[ "-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18", "1 + 11*u + 55*u^2 + 185*u^3 + 406*u^4 + 710*u^5 + 948*u^6 + 1478*u^7 + 1821*u^8 + 1791*u^9 + 1551*u^10 + 1105*u^11 + 673*u^12 + 357*u^13 + 160*u^14 + 59*u^15 + 20*u^16 + 4*u^17 + u^18", "1 + 11*u - 233*u^2 + 3289*u^3 - 22458*u^4 + 117174*u^5 - 236428*u^6 + 358030*u^7 - 175831*u^8 - 53953*u^9 + 77715*u^10 - 29215*u^11 + 11853*u^12 - 8875*u^13 + 4656*u^14 - 1409*u^15 + 248*u^16 - 24*u^17 + u^18", "639127 + 227049*u + 604579*u^2 + 6077563*u^3 + 8539624*u^4 + 2337514*u^5 - 3812456*u^6 - 2995550*u^7 + 290135*u^8 + 1397853*u^9 + 958187*u^10 + 411495*u^11 + 137273*u^12 + 33303*u^13 + 7154*u^14 + 1073*u^15 + 152*u^16 + 12*u^17 + u^18", "64 - 592*u + 1560*u^2 + 431*u^3 - 7368*u^4 + 8752*u^5 + 2608*u^6 - 17090*u^7 + 24356*u^8 - 15166*u^9 + 2930*u^10 - 2417*u^11 + 6604*u^12 - 6394*u^13 + 3290*u^14 - 1021*u^15 + 194*u^16 - 21*u^17 + u^18", "-33529 + 5049*u + 393659*u^2 + 196931*u^3 - 1558098*u^4 - 1700306*u^5 + 1265550*u^6 + 3855024*u^7 + 3860371*u^8 + 2388847*u^9 + 1035133*u^10 + 345143*u^11 + 96449*u^12 + 20997*u^13 + 4016*u^14 + 577*u^15 + 88*u^16 + 10*u^17 + u^18", "542056 - 295060*u + 2485652*u^2 - 4645619*u^3 - 9624996*u^4 + 23228952*u^5 - 7332726*u^6 - 15170228*u^7 + 20029936*u^8 - 13060594*u^9 + 3349668*u^10 + 733869*u^11 - 200676*u^12 - 23492*u^13 + 6252*u^14 + 271*u^15 - 114*u^16 + u^17 + u^18", "289 + 1106*u - 2159*u^2 + 28237*u^3 - 53958*u^4 + 32392*u^5 + 12216*u^6 - 29588*u^7 + 29415*u^8 - 32238*u^9 + 35437*u^10 - 29373*u^11 + 17335*u^12 - 7148*u^13 + 2180*u^14 - 486*u^15 + 89*u^16 - 10*u^17 + u^18", "7 - 49*u + 212*u^2 - 573*u^3 + 976*u^4 - 648*u^5 - 698*u^6 + 1356*u^7 - 425*u^8 - 261*u^9 - 24*u^10 + 117*u^11 + 91*u^12 - 95*u^13 + 7*u^14 + 5*u^15 + 7*u^16 - 5*u^17 + u^18", "1 + 10*u - 115*u^2 + 317*u^3 - 2326*u^4 + 18672*u^5 - 58724*u^6 + 78556*u^7 - 32361*u^8 - 20778*u^9 + 32333*u^10 - 23829*u^11 + 16087*u^12 - 9564*u^13 + 4128*u^14 - 1182*u^15 + 213*u^16 - 22*u^17 + u^18", "-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18", "61 + 253*u + 406*u^2 + 771*u^3 + 228*u^4 - 662*u^5 - 514*u^6 - 1366*u^7 + 9*u^8 + 2991*u^9 + 542*u^10 - 2389*u^11 - 397*u^12 + 701*u^13 + 183*u^14 - 77*u^15 - 23*u^16 + 3*u^17 + u^18", "8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18", "898457 + 11039273*u + 50879372*u^2 + 117866775*u^3 + 133079380*u^4 + 78380418*u^5 + 25531150*u^6 + 4369170*u^7 + 6476403*u^8 + 6360539*u^9 + 827426*u^10 - 973419*u^11 - 233815*u^12 + 60359*u^13 + 17875*u^14 - 669*u^15 - 219*u^16 + 5*u^17 + u^18", "91 + 70*u + 117*u^2 + 491*u^3 - 794*u^4 + 1578*u^5 - 938*u^6 + 1968*u^7 + 777*u^8 - 162*u^9 + 2591*u^10 - 1313*u^11 + 1577*u^12 - 460*u^13 + 332*u^14 - 50*u^15 + 29*u^16 - 2*u^17 + u^18", "-17 + 18*u + 23*u^2 + 137*u^3 - 66*u^4 + 190*u^5 - 12*u^6 + 12*u^7 + 155*u^8 - 110*u^9 + 167*u^10 - 43*u^11 + 67*u^12 + 6*u^13 + 28*u^14 + 4*u^15 + 7*u^16 + 2*u^17 + u^18", "-181 - 458*u + 2659*u^2 + 5971*u^3 - 4912*u^4 - 15806*u^5 + 7932*u^6 + 15868*u^7 - 407*u^8 - 26226*u^9 + 20391*u^10 - 1959*u^11 - 3491*u^12 + 998*u^13 + 286*u^14 - 114*u^15 - 17*u^16 + 6*u^17 + u^18", "1 + 10*u + 25*u^2 + 125*u^3 - 150*u^4 - 88*u^5 + 236*u^6 - 996*u^7 + 2567*u^8 - 3998*u^9 + 5301*u^10 - 6473*u^11 + 6279*u^12 - 4368*u^13 + 2104*u^14 - 686*u^15 + 145*u^16 - 18*u^17 + u^18", "8 + 20*u + 238*u^2 - 165*u^3 + 1316*u^4 + 178*u^5 + 474*u^6 + 3130*u^7 - 196*u^8 - 1150*u^9 + 1148*u^10 + 513*u^11 - 230*u^12 + 34*u^13 + 78*u^14 + 7*u^15 + 4*u^16 + 3*u^17 + u^18", "13 + 74*u + 183*u^2 + 531*u^3 + 1106*u^4 + 2122*u^5 + 2240*u^6 + 2584*u^7 + 2323*u^8 + 182*u^9 + 2119*u^10 - 1407*u^11 + 965*u^12 - 468*u^13 + 66*u^14 + 38*u^15 - u^16 - 4*u^17 + u^18", "79 + 28*u - 169*u^2 + 117*u^3 + 164*u^4 - 258*u^5 + 60*u^6 + 296*u^7 - 159*u^8 - 232*u^9 + 151*u^10 + 133*u^11 - 101*u^12 - 40*u^13 + 44*u^14 + 4*u^15 - 9*u^16 + u^18", "-2231 - 10172*u + 10611*u^2 + 130473*u^3 + 267058*u^4 + 262300*u^5 + 215662*u^6 + 127556*u^7 - 19641*u^8 + 3658*u^9 + 21619*u^10 - 16217*u^11 + 17505*u^12 - 10264*u^13 + 3714*u^14 - 752*u^15 + 119*u^16 - 12*u^17 + u^18", "1 - 5*u^2 + 25*u^3 - 70*u^4 + 180*u^5 - 196*u^6 + 298*u^7 - 93*u^8 + 38*u^9 + 129*u^10 - 139*u^11 + 155*u^12 - 90*u^13 + 66*u^14 - 22*u^15 + 13*u^16 - 2*u^17 + u^18", "3721 + 3586*u - 36985*u^2 + 546455*u^3 - 1520942*u^4 + 2014788*u^5 - 1419968*u^6 + 243232*u^7 + 539323*u^8 - 590904*u^9 + 298195*u^10 - 68833*u^11 - 4701*u^12 + 5838*u^13 - 258*u^14 - 298*u^15 - 3*u^16 + 10*u^17 + u^18", "-8221 - 9696*u + 78291*u^2 + 145295*u^3 - 67610*u^4 - 51710*u^5 - 175060*u^6 + 266560*u^7 + 1675*u^8 - 111576*u^9 + 59351*u^10 - 14133*u^11 + 5633*u^12 - 1700*u^13 + 616*u^14 - 88*u^15 + 25*u^16 - 4*u^17 + u^18", "5504449 + 4031428*u + 10014141*u^2 + 25595115*u^3 + 13376950*u^4 - 8765234*u^5 - 19543080*u^6 - 7904518*u^7 + 8042679*u^8 + 8527016*u^9 + 5294085*u^10 + 1631429*u^11 + 432133*u^12 + 81678*u^13 + 18474*u^14 - 164*u^15 + 271*u^16 - 6*u^17 + u^18" ], "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{2, 4}", "{2, 5}" ], [ "{1, 2}", "{2, 6}", "{3, 5}", "{4, 5}" ], [ "{3, 4}" ], [ "{3, 6}" ], [ "{1, 5}", "{2, 3}", "{8, 9}" ], [ "{1, 3}" ], [ "{3, 9}" ], [ "{7, 8}" ], [ "{4, 6}" ], [ "{5, 6}" ], [ "{1, 6}", "{6, 10}", "{7, 9}", "{7, 10}" ], [ "{2, 10}" ], [ "{2, 8}", "{2, 9}", "{3, 8}" ], [ "{3, 10}" ], [ "{2, 7}" ], [ "{1, 7}", "{1, 8}", "{6, 9}" ], [ "{8, 10}" ], [ "{1, 10}", "{6, 7}", "{9, 10}" ], [ "{4, 7}" ], [ "{4, 10}" ], [ "{4, 8}" ], [ "{5, 10}" ], [ "{1, 9}", "{4, 9}", "{5, 8}", "{6, 8}" ], [ "{5, 7}" ], [ "{5, 9}" ], [ "{3, 7}" ] ], "SortedReprnIndices":"{16, 17, 8, 9, 12, 13, 3, 2, 15, 14, 5, 4, 11, 10, 6, 7, 1, 18}", "aCuspShapeN":[ -1.0184, "-1.1316991448326721676`4.627389990633679 + 3.6008168438946574336`5.130060034397272*I", "-1.1316991448326721676`4.627389990633679 - 3.6008168438946574336`5.130060034397272*I", "-3.5187201822617734161`5.15042629848473 - 0.0711233390309347362`3.4560537037833283*I", "-3.5187201822617734161`5.15042629848473 + 0.0711233390309347362`3.4560537037833283*I", "-3.8259203927010253126`5.1478819506844475 + 0.4225770852038738103`4.191051964587814*I", "-3.8259203927010253126`5.1478819506844475 - 0.4225770852038738103`4.191051964587814*I", "-4.8962825018890610016`4.98780396762099 - 5.1714200858488436337`5.01154731807905*I", "-4.8962825018890610016`4.98780396762099 + 5.1714200858488436337`5.01154731807905*I", "-6.3849596835241669572`5.007729307471586 + 6.1576391482746863751`4.991985382787841*I", "-6.3849596835241669572`5.007729307471586 - 6.1576391482746863751`4.991985382787841*I", "-0.22641160888925516`3.8372265387787228 - 4.6523617009094558352`5.150001319822189*I", "-0.22641160888925516`3.8372265387787228 + 4.6523617009094558352`5.150001319822189*I", "-0.6102631804266263061`4.986849786155958 + 0.6472417171435741147`5.012399119506024*I", "-0.6102631804266263061`4.986849786155958 - 0.6472417171435741147`5.012399119506024*I", "-1.8035886358133134872`4.671277182330189 - 5.1293480609210082264`5.1252018620027675*I", "-1.8035886358133134872`4.671277182330189 + 5.1293480609210082264`5.1252018620027675*I", -5.1859 ], "Abelian":false }, { "IdealName":"J10_131_1", "Generators":[ "-a + b", "1 - a^2 + a^3", "-1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.4547e-2, "TimingZeroDimVars":6.6792e-2, "TimingmagmaVCompNormalize":6.8725e-2, "TimingNumberOfSols":3.664e-2, "TimingIsRadical":1.983e-3, "TimingArcColoring":7.115e-2, "TimingObstruction":1.67e-3, "TimingComplexVolumeN":3.455593, "TimingaCuspShapeN":1.1693e-2, "TiminguValues":0.634845, "TiminguPolysN":5.45e-4, "TiminguPolys":0.807948, "TimingaCuspShape":9.9461e-2, "TimingRepresentationsN":3.3825e-2, "TiminguValues_ij":0.164878, "TiminguPoly_ij":0.886885, "TiminguPolys_ij_N":9.570000000000001e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":3, "IsRadical":true, "ArcColoring":[ "{1, 0}", "{1, 1}", "{1, 1}", "{0, 1}", "{-1, 0}", [ "-1 - a^2", "-a^2" ], [ "2*a", "a" ], [ "a", "a" ], [ "a", "a" ], [ "2 + a - 2*a^2", "1 + a - a^2" ] ], "Obstruction":1, "ComplexVolumeN":[ "1.37919 - 2.82812*I", "1.37919 + 2.82812*I", -2.75839 ], "uPolysN":[ "-1 + 3*u - 3*u^2 + u^3", "u^3", "-1 + 3*u - 3*u^2 + u^3", "1 + 3*u + 3*u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-1 + u^2 + u^3", "u^3", "1 + 2*u + u^2 + u^3", "1 + 2*u + u^2 + u^3" ], "uPolys":[ "(-1 + u)^3", "u^3", "(-1 + u)^3", "(1 + u)^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-1 + u^2 + u^3", "u^3", "1 + 2*u + u^2 + u^3", "1 + 2*u + u^2 + u^3" ], "aCuspShape":"-11 + 5*a - a^2", "RepresentationsN":[ [ "u->1.", "a->0.877439 + 0.744862 I", "b->0.877439 + 0.744862 I" ], [ "u->1.", "a->0.877439 - 0.744862 I", "b->0.877439 - 0.744862 I" ], [ "u->1.", "a->-0.754878", "b->-0.754878" ] ], "Epsilon":2.10679, "uPolys_ij":[ "u^3", "(-1 + u)^3", "-8 + 2*u^2 + u^3", "-1 + u^2 + u^3", "1 - u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 + 2*u - 3*u^2 + u^3", "1 + 3*u + 2*u^2 + u^3", "-5 + 7*u - 4*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "1 + 10*u + 5*u^2 + u^3" ], "GeometricComponent":0, "uPolys_ij_N":[ "u^3", "-1 + 3*u - 3*u^2 + u^3", "-8 + 2*u^2 + u^3", "-1 + u^2 + u^3", "1 - u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 + 2*u - 3*u^2 + u^3", "1 + 3*u + 2*u^2 + u^3", "-5 + 7*u - 4*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "1 + 10*u + 5*u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{1, 5}", "{2, 3}", "{2, 8}", "{2, 9}", "{3, 8}", "{3, 9}", "{8, 9}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{2, 4}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 5}", "{3, 6}", "{4, 5}" ], [ "{4, 7}" ], [ "{2, 7}", "{3, 7}", "{4, 8}", "{4, 9}", "{5, 7}", "{5, 8}", "{5, 9}", "{6, 8}", "{6, 9}" ], [ "{1, 7}", "{1, 8}", "{1, 9}" ], [ "{1, 6}" ], [ "{5, 6}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}" ], [ "{1, 10}" ], [ "{2, 10}", "{3, 10}" ], [ "{4, 6}" ], [ "{5, 10}", "{6, 7}", "{8, 10}", "{9, 10}" ], [ "{4, 10}" ] ], "SortedReprnIndices":"{2, 1, 3}", "aCuspShapeN":[ "-6.8278856888842414668`5.124875829614451 + 2.4171675544166757025`4.673896344074378*I", "-6.8278856888842414668`5.124875829614451 - 2.4171675544166757025`4.673896344074378*I", -1.5344e1 ], "Abelian":false }, { "IdealName":"abJ10_131_2", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.0061999999999995e-2, "TimingZeroDimVars":7.020900000000001e-2, "TimingmagmaVCompNormalize":7.1449e-2, "TimingNumberOfSols":2.9198e-2, "TimingIsRadical":2.013e-3, "TimingArcColoring":6.8221e-2, "TimingObstruction":4.01e-4, "TimingComplexVolumeN":0.788613, "TimingaCuspShapeN":4.536e-3, "TiminguValues":0.637597, "TiminguPolysN":7.2e-5, "TiminguPolys":0.809793, "TimingaCuspShape":8.6935e-2, "TimingRepresentationsN":3.0271e-2, "TiminguValues_ij":0.158749, "TiminguPoly_ij":0.152855, "TiminguPolys_ij_N":2.8e-5 }, "ZeroDimensionalVars":[ "b", "a", "v" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "aCuspShape":0, "RepresentationsN":[ [ "v->1.", "a->1.", "b->0" ] ], "Epsilon":"Infinity", "uPolys_ij":[ "u" ], "GeometricComponent":0, "uPolys_ij_N":[ "u" ], "Multiplicity":1, "ij_list":[ [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{1, 6}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(-1 + u)^3*(-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18)", "u^3*(8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18)", "(-1 + u)^3*(1 + 11*u + 55*u^2 + 185*u^3 + 406*u^4 + 710*u^5 + 948*u^6 + 1478*u^7 + 1821*u^8 + 1791*u^9 + 1551*u^10 + 1105*u^11 + 673*u^12 + 357*u^13 + 160*u^14 + 59*u^15 + 20*u^16 + 4*u^17 + u^18)", "(1 + u)^3*(-1 + 3*u + u^2 - 7*u^3 - 6*u^4 + 22*u^5 - 4*u^6 - 10*u^7 - 5*u^8 + 15*u^9 + 17*u^10 - 35*u^11 + 11*u^12 + 21*u^13 - 20*u^14 + 3*u^15 + 6*u^16 - 4*u^17 + u^18)", "(-1 + u^2 + u^3)*(1 - 5*u^2 + 25*u^3 - 70*u^4 + 180*u^5 - 196*u^6 + 298*u^7 - 93*u^8 + 38*u^9 + 129*u^10 - 139*u^11 + 155*u^12 - 90*u^13 + 66*u^14 - 22*u^15 + 13*u^16 - 2*u^17 + u^18)", "(-1 + 2*u - u^2 + u^3)*(-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18)", "(-1 + u^2 + u^3)*(-17 + 18*u + 23*u^2 + 137*u^3 - 66*u^4 + 190*u^5 - 12*u^6 + 12*u^7 + 155*u^8 - 110*u^9 + 167*u^10 - 43*u^11 + 67*u^12 + 6*u^13 + 28*u^14 + 4*u^15 + 7*u^16 + 2*u^17 + u^18)", "u^3*(8 - 4*u - 36*u^2 + 41*u^3 - 4*u^4 - 52*u^5 + 140*u^6 - 104*u^7 - 46*u^8 + 60*u^9 + 16*u^10 + 41*u^11 - 50*u^12 - 40*u^13 + 36*u^14 + 11*u^15 - 10*u^16 - u^17 + u^18)", "(1 + 2*u + u^2 + u^3)*(-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18)", "(1 + 2*u + u^2 + u^3)*(-1 + 2*u + 3*u^2 + u^3 - 10*u^4 + 24*u^5 - 16*u^6 + 4*u^7 + 45*u^8 - 78*u^9 + 115*u^10 - 109*u^11 + 105*u^12 - 64*u^13 + 48*u^14 - 18*u^15 + 11*u^16 - 2*u^17 + u^18)" ], "RileyPolyC":[ "(-1 + y)^3*(1 - 11*y + 55*y^2 - 185*y^3 + 406*y^4 - 710*y^5 + 948*y^6 - 1478*y^7 + 1821*y^8 - 1791*y^9 + 1551*y^10 - 1105*y^11 + 673*y^12 - 357*y^13 + 160*y^14 - 59*y^15 + 20*y^16 - 4*y^17 + y^18)", "y^3*(64 - 592*y + 1560*y^2 + 431*y^3 - 7368*y^4 + 8752*y^5 + 2608*y^6 - 17090*y^7 + 24356*y^8 - 15166*y^9 + 2930*y^10 - 2417*y^11 + 6604*y^12 - 6394*y^13 + 3290*y^14 - 1021*y^15 + 194*y^16 - 21*y^17 + y^18)", "(-1 + y)^3*(1 - 11*y - 233*y^2 - 3289*y^3 - 22458*y^4 - 117174*y^5 - 236428*y^6 - 358030*y^7 - 175831*y^8 + 53953*y^9 + 77715*y^10 + 29215*y^11 + 11853*y^12 + 8875*y^13 + 4656*y^14 + 1409*y^15 + 248*y^16 + 24*y^17 + y^18)", "(-1 + y)^3*(1 - 11*y + 55*y^2 - 185*y^3 + 406*y^4 - 710*y^5 + 948*y^6 - 1478*y^7 + 1821*y^8 - 1791*y^9 + 1551*y^10 - 1105*y^11 + 673*y^12 - 357*y^13 + 160*y^14 - 59*y^15 + 20*y^16 - 4*y^17 + y^18)", "(-1 + 2*y - y^2 + y^3)*(1 - 10*y - 115*y^2 - 317*y^3 - 2326*y^4 - 18672*y^5 - 58724*y^6 - 78556*y^7 - 32361*y^8 + 20778*y^9 + 32333*y^10 + 23829*y^11 + 16087*y^12 + 9564*y^13 + 4128*y^14 + 1182*y^15 + 213*y^16 + 22*y^17 + y^18)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 10*y + 25*y^2 - 125*y^3 - 150*y^4 + 88*y^5 + 236*y^6 + 996*y^7 + 2567*y^8 + 3998*y^9 + 5301*y^10 + 6473*y^11 + 6279*y^12 + 4368*y^13 + 2104*y^14 + 686*y^15 + 145*y^16 + 18*y^17 + y^18)", "(-1 + 2*y - y^2 + y^3)*(289 - 1106*y - 2159*y^2 - 28237*y^3 - 53958*y^4 - 32392*y^5 + 12216*y^6 + 29588*y^7 + 29415*y^8 + 32238*y^9 + 35437*y^10 + 29373*y^11 + 17335*y^12 + 7148*y^13 + 2180*y^14 + 486*y^15 + 89*y^16 + 10*y^17 + y^18)", "y^3*(64 - 592*y + 1560*y^2 + 431*y^3 - 7368*y^4 + 8752*y^5 + 2608*y^6 - 17090*y^7 + 24356*y^8 - 15166*y^9 + 2930*y^10 - 2417*y^11 + 6604*y^12 - 6394*y^13 + 3290*y^14 - 1021*y^15 + 194*y^16 - 21*y^17 + y^18)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 10*y + 25*y^2 - 125*y^3 - 150*y^4 + 88*y^5 + 236*y^6 + 996*y^7 + 2567*y^8 + 3998*y^9 + 5301*y^10 + 6473*y^11 + 6279*y^12 + 4368*y^13 + 2104*y^14 + 686*y^15 + 145*y^16 + 18*y^17 + y^18)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 10*y + 25*y^2 - 125*y^3 - 150*y^4 + 88*y^5 + 236*y^6 + 996*y^7 + 2567*y^8 + 3998*y^9 + 5301*y^10 + 6473*y^11 + 6279*y^12 + 4368*y^13 + 2104*y^14 + 686*y^15 + 145*y^16 + 18*y^17 + y^18)" ] }, "GeometricRepresentation":[ 9.465, [ "J10_131_0", 1, "{16, 17}" ] ] } }