{ "Index":150, "Name":"10_66", "RolfsenName":"10_66", "DTname":"10a_40", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{10, 12, 18, 14, 4, 2, 16, 8, 20, 6}", "Acode":"{6, 7, 10, 8, 3, 2, 9, 5, 1, 4}", "PDcode":[ "{1, 11, 2, 10}", "{3, 13, 4, 12}", "{5, 19, 6, 18}", "{7, 15, 8, 14}", "{9, 5, 10, 4}", "{11, 3, 12, 2}", "{13, 17, 14, 16}", "{15, 9, 16, 8}", "{17, 1, 18, 20}", "{19, 7, 20, 6}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{4, 8, 10}", [], [ "{4, 8, 5, 1}", "{8, 5, 9, 1}", "{10, 4, 1, 1}", "{4, 10, 3, 2}", "{5, 3, 6, 1}", "{8, 9, 7, 2}", "{3, 7, 2, 2}" ], "{1, 9}", "{6}", 6 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a - 2*b + a*b + 2*b^3 - a*b^4 - 2*b^5 + a*b^6 + b^7 - a*b^8 + a*u^2 + b*u^2 - 4*a*b^2*u^2 - 2*b^3*u^2 + 2*a^2*b^3*u^2 + 4*a*b^4*u^2 + 2*b^5*u^2 - 2*a^2*b^5*u^2 - 4*a*b^6*u^2 + 2*a^2*b^7*u^2 + u^4 - a*u^4 - a*b*u^4 + 2*a^2*b*u^4 + a*b^2*u^4 - a^3*b^2*u^4 + b^3*u^4 - 2*a^2*b^3*u^4 - 3*a*b^4*u^4 + a^3*b^4*u^4 + 3*a^2*b^5*u^4 - a^3*b^6*u^4 - u^6 + a*b*u^6 + b^2*u^6 + u^8 - a*b*u^8", "b + b^2 - b^5 + b^7 - b^9 + u^2 - b*u^2 - a*b*u^2 + 2*a*b^4*u^2 - 2*a*b^6*u^2 - 2*b^7*u^2 + 2*a*b^8*u^2 - 2*u^4 + a*u^4 + 2*a*b*u^4 + b^2*u^4 - b^3*u^4 - a^2*b^3*u^4 - b^5*u^4 + a^2*b^5*u^4 + 2*a*b^6*u^4 - a^2*b^7*u^4 + 3*u^6 - 3*a*b*u^6 - b^2*u^6 - 2*u^8 + 2*a*b*u^8 + b^2*u^8 + u^10 - a*b*u^10", "-a - u - a^2*u + a*b*u + a^2*u^3 - 2*a*b*u^3 + b^2*u^3", "-b + u - a*b*u - u^3 + a*b*u^3 - b^2*u^3" ], "TimingForPrimaryIdeals":0.133723 }, "v":{ "CheckEq":[ "b + b^2 - b^5 + b^7 - b^9", "-a + v + a*b*v - b^2*v", "-b + b^2*v", "-1 + a - 2*b + a*b + 2*b^3 - a*b^4 - 2*b^5 + a*b^6 + b^7 - a*b^8 + b^2*v^2" ], "TimingForPrimaryIdeals":9.481e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_66_0", "Generators":[ "b - u", "2*a + 3*u + 2*u^2 + 2*u^3 - 3*u^4 + 3*u^5 + 5*u^6 + 2*u^7 - 6*u^8 - u^9 + 6*u^10 + 4*u^11 - 3*u^12 - 2*u^13 + u^14 + u^15", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.1577e-2, "TimingZeroDimVars":7.0545e-2, "TimingmagmaVCompNormalize":7.1813e-2, "TimingNumberOfSols":0.159414, "TimingIsRadical":6.1600000000000005e-3, "TimingArcColoring":6.8526e-2, "TimingObstruction":2.4356e-2, "TimingComplexVolumeN":1.7247072000000003e1, "TimingaCuspShapeN":7.1212e-2, "TiminguValues":0.65849, "TiminguPolysN":2.1174e-2, "TiminguPolys":0.840848, "TimingaCuspShape":0.113353, "TimingRepresentationsN":0.148541, "TiminguValues_ij":0.182023, "TiminguPoly_ij":1.439009, "TiminguPolys_ij_N":4.2837e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":16, "IsRadical":true, "ArcColoring":[ [ "(-5*u - 2*u^2 - 2*u^3 + 3*u^4 - 3*u^5 - 5*u^6 - 2*u^7 + 6*u^8 + u^9 - 6*u^10 - 4*u^11 + 3*u^12 + 2*u^13 - u^14 - u^15)\/2", "u" ], [ "1 + u^2 + u^4 + 2*u^6 - u^8 + u^10", "(-1 - 2*u - 2*u^2 + 3*u^3 + 3*u^4 - 5*u^5 - 6*u^6 + 6*u^7 + 9*u^8 - 6*u^9 - 8*u^10 + 3*u^11 + 4*u^12 - u^13 - u^14)\/2" ], [ "(3 + 2*u - 3*u^3 + 3*u^4 + 5*u^5 + 2*u^6 - 6*u^7 - u^8 + 6*u^9 + 4*u^10 - 3*u^11 - 2*u^12 + u^13 + u^14)\/2", "-u^2" ], "{1, 0}", [ 1, "u^2" ], [ "(-2 - 9*u + 10*u^3 + 3*u^4 - 17*u^5 - 7*u^6 + 18*u^7 + 14*u^8 - 15*u^9 - 16*u^10 + 4*u^11 + 9*u^12 - 3*u^14 - u^15)\/2", "(1 + 2*u - 3*u^3 + 3*u^4 + 5*u^5 - 6*u^7 - u^8 + 6*u^9 + 4*u^10 - 3*u^11 - 2*u^12 + u^13 + u^14)\/2" ], [ "u^3", "u - u^3 + u^5" ], [ 0, "u" ], [ "-u", "u - u^3" ], [ "(-3*u - 2*u^2 - 2*u^3 + 3*u^4 - 3*u^5 - 5*u^6 - 2*u^7 + 6*u^8 + u^9 - 6*u^10 - 4*u^11 + 3*u^12 + 2*u^13 - u^14 - u^15)\/2", "u" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-0.17586 + 4.85157*I", "-0.17586 - 4.85157*I", "3.06515 - 1.13134*I", "3.06515 + 1.13134*I", "-1.21964 - 2.39915*I", "-1.21964 + 2.39915*I", "-8.80698 - 2.79176*I", "-8.80698 + 2.79176*I", "-1.63698 + 4.78532*I", "-1.63698 - 4.78532*I", "-0.34351 - 9.16484*I", "-0.34351 + 9.16484*I", -6.93855, "-5.9872 + 13.0293*I", "-5.9872 - 13.0293*I", -0.684897 ], "uPolysN":[ "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "14 - 34*u + 174*u^3 - 559*u^4 + 1092*u^5 - 1545*u^6 + 1653*u^7 - 1322*u^8 + 732*u^9 - 186*u^10 - 110*u^11 + 163*u^12 - 102*u^13 + 39*u^14 - 9*u^15 + u^16", "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16" ], "uPolys":[ "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "14 - 34*u + 174*u^3 - 559*u^4 + 1092*u^5 - 1545*u^6 + 1653*u^7 - 1322*u^8 + 732*u^9 - 186*u^10 - 110*u^11 + 163*u^12 - 102*u^13 + 39*u^14 - 9*u^15 + u^16", "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16", "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16" ], "aCuspShape":"-16 - u + 12*u^2 + 6*u^3 - 13*u^4 - 13*u^5 + 17*u^6 + 22*u^7 - 12*u^8 - 19*u^9 + 8*u^10 + 12*u^11 - 3*u^12 - 4*u^13 + u^14 + u^15", "RepresentationsN":[ [ "u->-0.788317 + 0.682807 I", "a->-0.86213 - 0.839659 I", "b->-0.788317 + 0.682807 I" ], [ "u->-0.788317 - 0.682807 I", "a->-0.86213 + 0.839659 I", "b->-0.788317 - 0.682807 I" ], [ "u->0.591599 + 0.705742 I", "a->0.502397 - 0.588564 I", "b->0.591599 + 0.705742 I" ], [ "u->0.591599 - 0.705742 I", "a->0.502397 + 0.588564 I", "b->0.591599 - 0.705742 I" ], [ "u->-0.403938 + 0.782402 I", "a->-0.331306 - 0.329211 I", "b->-0.403938 + 0.782402 I" ], [ "u->-0.403938 - 0.782402 I", "a->-0.331306 + 0.329211 I", "b->-0.403938 - 0.782402 I" ], [ "u->1.04377 + 0.418403 I", "a->1.76067 - 2.04191 I", "b->1.04377 + 0.418403 I" ], [ "u->1.04377 - 0.418403 I", "a->1.76067 + 2.04191 I", "b->1.04377 - 0.418403 I" ], [ "u->-1.0348 + 0.560504 I", "a->-1.60194 - 1.34258 I", "b->-1.0348 + 0.560504 I" ], [ "u->-1.0348 - 0.560504 I", "a->-1.60194 + 1.34258 I", "b->-1.0348 - 0.560504 I" ], [ "u->1.12303 + 0.603482 I", "a->1.88319 - 1.11133 I", "b->1.12303 + 0.603482 I" ], [ "u->1.12303 - 0.603482 I", "a->1.88319 + 1.11133 I", "b->1.12303 - 0.603482 I" ], [ "u->0.703289", "a->-2.07989", "b->0.703289" ], [ "u->-1.18428 + 0.5958 I", "a->-2.08419 - 1.05231 I", "b->-1.18428 + 0.5958 I" ], [ "u->-1.18428 - 0.5958 I", "a->-2.08419 + 1.05231 I", "b->-1.18428 - 0.5958 I" ], [ "u->-0.397419", "a->0.546503", "b->-0.397419" ] ], "Epsilon":0.603325, "uPolys_ij":[ "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16", "1 + 38*u - 89*u^2 - 175*u^3 + 1433*u^4 - 4188*u^5 + 7565*u^6 - 9459*u^7 + 8947*u^8 - 6742*u^9 + 4089*u^10 - 2001*u^11 + 788*u^12 - 240*u^13 + 57*u^14 - 9*u^15 + u^16", "-16 - 16*u + 128*u^2 + 104*u^3 + 25*u^4 + 52*u^5 + 87*u^6 - u^7 - 74*u^8 - 40*u^9 + 8*u^10 + 14*u^11 + 5*u^12 + 4*u^13 + 5*u^14 + 3*u^15 + u^16", "-4 + 23*u^2 - 15*u^3 + 23*u^4 - 66*u^5 + 14*u^6 + 26*u^7 + 24*u^8 + 20*u^9 - 48*u^10 - 26*u^11 + 30*u^12 + 10*u^13 - 7*u^14 - u^15 + u^16", "-973 + 3100*u - 1809*u^2 - 8677*u^3 + 18285*u^4 - 24914*u^5 + 24965*u^6 - 17509*u^7 + 12913*u^8 - 10080*u^9 + 5417*u^10 - 1729*u^11 + 370*u^12 - 116*u^13 + 35*u^14 - 3*u^15 + u^16", "232 + 1596*u + 6482*u^2 + 7928*u^3 - 850*u^4 - 1552*u^5 - 1109*u^6 + 5513*u^7 - 2491*u^8 + 182*u^9 - 89*u^10 + 155*u^11 + 83*u^12 - 42*u^13 + 15*u^14 - 3*u^15 + u^16", "1 + 10*u + 19*u^2 - 67*u^3 - 107*u^4 + 346*u^5 - 141*u^6 - 247*u^7 + 223*u^8 + 40*u^9 - 111*u^10 + 19*u^11 + 32*u^12 - 12*u^13 - 5*u^14 + u^15 + u^16", "178 - 1154*u + 416*u^2 + 17866*u^3 - 75591*u^4 + 154766*u^5 - 184225*u^6 + 123345*u^7 - 24306*u^8 - 35888*u^9 + 40910*u^10 - 22696*u^11 + 7985*u^12 - 1862*u^13 + 281*u^14 - 25*u^15 + u^16", "4096 - 12288*u + 1024*u^2 + 61952*u^3 - 161024*u^4 + 225792*u^5 - 204928*u^6 + 122048*u^7 - 40192*u^8 - 3168*u^9 + 12544*u^10 - 8184*u^11 + 3233*u^12 - 868*u^13 + 158*u^14 - 18*u^15 + u^16", "14 - 34*u + 174*u^3 - 559*u^4 + 1092*u^5 - 1545*u^6 + 1653*u^7 - 1322*u^8 + 732*u^9 - 186*u^10 - 110*u^11 + 163*u^12 - 102*u^13 + 39*u^14 - 9*u^15 + u^16", "1 - 2*u - 9*u^2 + 35*u^3 - 39*u^4 - 230*u^5 + 229*u^6 + 1415*u^7 + 2035*u^8 + 1578*u^9 + 861*u^10 + 409*u^11 + 156*u^12 + 34*u^13 + 5*u^14 + 3*u^15 + u^16", "533 + 954*u - 6393*u^2 + 227*u^3 + 9471*u^4 + 9186*u^5 - 3345*u^6 - 4363*u^7 + 2513*u^8 + 6438*u^9 + 4421*u^10 + 2585*u^11 + 1136*u^12 + 306*u^13 + 67*u^14 + 9*u^15 + u^16", "196 + 1156*u - 3820*u^2 - 720*u^3 + 7853*u^4 - 4170*u^5 - 2783*u^6 + 5733*u^7 - 4650*u^8 + 1752*u^9 - 96*u^10 - 140*u^11 + 153*u^12 + 42*u^13 + 11*u^14 + 3*u^15 + u^16", "4 + 20*u - 20*u^2 - 68*u^3 - 43*u^4 + 78*u^5 + 157*u^6 - 19*u^7 - 142*u^8 + 324*u^9 + 1064*u^10 + 1280*u^11 + 877*u^12 + 374*u^13 + 99*u^14 + 15*u^15 + u^16", "1 + 10*u + 35*u^2 + 71*u^3 + 123*u^4 + 126*u^5 + 245*u^6 + 397*u^7 + 519*u^8 + 440*u^9 + 137*u^10 - 67*u^11 + 24*u^13 - 5*u^14 - 3*u^15 + u^16", "-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16", "-1 + 8*u - 23*u^2 - 7*u^3 + 127*u^4 - 22*u^5 - 529*u^6 - 963*u^7 + 1267*u^8 + 488*u^9 - 607*u^10 - 135*u^11 + 142*u^12 + 18*u^13 - 17*u^14 - u^15 + u^16", "-178 + 254*u + 140*u^2 - 1372*u^3 - 223*u^4 + 462*u^5 + 1681*u^6 - 2917*u^7 + 1018*u^8 + 402*u^9 - 162*u^10 - 154*u^11 + 75*u^12 + 6*u^13 - 3*u^14 - 3*u^15 + u^16" ], "GeometricComponent":"{14, 15}", "uPolys_ij_N":[ "-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16", "1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16", "1 + 38*u - 89*u^2 - 175*u^3 + 1433*u^4 - 4188*u^5 + 7565*u^6 - 9459*u^7 + 8947*u^8 - 6742*u^9 + 4089*u^10 - 2001*u^11 + 788*u^12 - 240*u^13 + 57*u^14 - 9*u^15 + u^16", "-16 - 16*u + 128*u^2 + 104*u^3 + 25*u^4 + 52*u^5 + 87*u^6 - u^7 - 74*u^8 - 40*u^9 + 8*u^10 + 14*u^11 + 5*u^12 + 4*u^13 + 5*u^14 + 3*u^15 + u^16", "-4 + 23*u^2 - 15*u^3 + 23*u^4 - 66*u^5 + 14*u^6 + 26*u^7 + 24*u^8 + 20*u^9 - 48*u^10 - 26*u^11 + 30*u^12 + 10*u^13 - 7*u^14 - u^15 + u^16", "-973 + 3100*u - 1809*u^2 - 8677*u^3 + 18285*u^4 - 24914*u^5 + 24965*u^6 - 17509*u^7 + 12913*u^8 - 10080*u^9 + 5417*u^10 - 1729*u^11 + 370*u^12 - 116*u^13 + 35*u^14 - 3*u^15 + u^16", "232 + 1596*u + 6482*u^2 + 7928*u^3 - 850*u^4 - 1552*u^5 - 1109*u^6 + 5513*u^7 - 2491*u^8 + 182*u^9 - 89*u^10 + 155*u^11 + 83*u^12 - 42*u^13 + 15*u^14 - 3*u^15 + u^16", "1 + 10*u + 19*u^2 - 67*u^3 - 107*u^4 + 346*u^5 - 141*u^6 - 247*u^7 + 223*u^8 + 40*u^9 - 111*u^10 + 19*u^11 + 32*u^12 - 12*u^13 - 5*u^14 + u^15 + u^16", "178 - 1154*u + 416*u^2 + 17866*u^3 - 75591*u^4 + 154766*u^5 - 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10}" ], [ "{2, 8}" ], [ "{2, 5}" ], [ "{4, 6}", "{7, 10}" ], [ "{8, 10}" ], [ "{1, 8}" ], [ "{1, 7}", "{3, 5}", "{3, 6}" ], [ "{2, 4}", "{2, 10}" ], [ "{6, 8}" ], [ "{5, 6}" ], [ "{1, 2}", "{2, 3}", "{6, 7}" ], [ "{2, 9}", "{6, 9}" ], [ "{1, 6}", "{2, 6}", "{2, 7}", "{3, 7}" ], [ "{3, 8}", "{5, 10}" ], [ "{1, 5}" ] ], "SortedReprnIndices":"{14, 15, 12, 11, 1, 2, 9, 10, 8, 7, 6, 5, 4, 3, 13, 16}", "aCuspShapeN":[ "-10.1841469176467719449`5.075557421165969 - 6.5389964673072485223`4.8831438680294665*I", "-10.1841469176467719449`5.075557421165969 + 6.5389964673072485223`4.8831438680294665*I", "-4.8829514705373348238`5.0996690744352495 + 2.508142048907488177`4.810338795559693*I", "-4.8829514705373348238`5.0996690744352495 - 2.508142048907488177`4.810338795559693*I", "-9.2072755905776305981`5.149365038374176 + 0.6709196055079361728`4.0119043787477855*I", "-9.2072755905776305981`5.149365038374176 - 0.6709196055079361728`4.0119043787477855*I", "-16.710623334054139493`5.130391575868894 + 5.2072186946583803674`4.624004743482387*I", "-16.710623334054139493`5.130391575868894 - 5.2072186946583803674`4.624004743482387*I", "-12.5066980665816154227`5.132826418955281 - 3.6434792633105829681`4.597200055707429*I", "-12.5066980665816154227`5.132826418955281 + 3.6434792633105829681`4.597200055707429*I", "-10.7571530577992057915`5.052534923637879 + 8.1230304327104589338`4.930555655933732*I", "-10.7571530577992057915`5.052534923637879 - 8.1230304327104589338`4.930555655933732*I", -1.1273e1, "-14.9902087833915314309`5.0919208230205015 - 8.342826610367408549`4.83742635898407*I", "-14.9902087833915314309`5.0919208230205015 + 8.342826610367408549`4.83742635898407*I", -1.4249e1 ], "Abelian":false }, { "IdealName":"J10_66_1", "Generators":[ "4273 + 8177*b + 48793*u + 51748*u^2 - 83562*u^3 - 180326*u^4 + 48463*u^5 + 243653*u^6 - 510*u^7 - 224863*u^8 + 46624*u^9 + 284954*u^10 - 61932*u^11 - 453174*u^12 - 102032*u^13 + 525500*u^14 + 308708*u^15 - 399254*u^16 - 343071*u^17 + 192759*u^18 + 212727*u^19 - 52971*u^20 - 74010*u^21 + 6022*u^22 + 11603*u^23", "-28435 + 8177*a - 269*u + 84456*u^2 + 63624*u^3 - 106733*u^4 - 106900*u^5 + 96467*u^6 + 97614*u^7 - 126739*u^8 - 116916*u^9 + 170476*u^10 + 216086*u^11 - 142448*u^12 - 314634*u^13 + 51234*u^14 + 308708*u^15 + 17773*u^16 - 204062*u^17 - 28020*u^18 + 90072*u^19 + 12445*u^20 - 24948*u^21 - 2155*u^22 + 3426*u^23", "1 + 4*u + 6*u^2 - 4*u^3 - 18*u^4 - 9*u^5 + 19*u^6 + 18*u^7 - 12*u^8 - 12*u^9 + 20*u^10 + 14*u^11 - 34*u^12 - 38*u^13 + 26*u^14 + 58*u^15 - 51*u^17 - 17*u^18 + 27*u^19 + 15*u^20 - 8*u^21 - 6*u^22 + u^23 + u^24" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.2332e-2, "TimingZeroDimVars":6.7404e-2, "TimingmagmaVCompNormalize":6.8671e-2, "TimingNumberOfSols":0.25115, "TimingIsRadical":1.5584e-2, "TimingArcColoring":7.5442e-2, "TimingObstruction":8.443099999999999e-2, "TimingComplexVolumeN":2.3223088e1, "TimingaCuspShapeN":0.145757, "TiminguValues":0.673848, "TiminguPolysN":8.488899999999999e-2, "TiminguPolys":0.888644, "TimingaCuspShape":0.160803, "TimingRepresentationsN":0.237996, "TiminguValues_ij":0.210948, "TiminguPolys_ij_N":0.168945 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":24, "IsRadical":true, "ArcColoring":[ [ "4 + 6*u - 4*u^2 - 18*u^3 - 9*u^4 + 19*u^5 + 18*u^6 - 12*u^7 - 12*u^8 + 20*u^9 + 14*u^10 - 34*u^11 - 38*u^12 + 26*u^13 + 58*u^14 - 51*u^16 - 17*u^17 + 27*u^18 + 15*u^19 - 8*u^20 - 6*u^21 + u^22 + u^23", "(-4273 - 48793*u - 51748*u^2 + 83562*u^3 + 180326*u^4 - 48463*u^5 - 243653*u^6 + 510*u^7 + 224863*u^8 - 46624*u^9 - 284954*u^10 + 61932*u^11 + 453174*u^12 + 102032*u^13 - 525500*u^14 - 308708*u^15 + 399254*u^16 + 343071*u^17 - 192759*u^18 - 212727*u^19 + 52971*u^20 + 74010*u^21 - 6022*u^22 - 11603*u^23)\/8177" ], [ "(-25396 + 2347*u + 81498*u^2 + 24268*u^3 - 176672*u^4 - 79006*u^5 + 210310*u^6 + 120326*u^7 - 208036*u^8 - 121507*u^9 + 250818*u^10 + 187980*u^11 - 305860*u^12 - 353809*u^13 + 274084*u^14 + 460016*u^15 - 162880*u^16 - 383960*u^17 + 57708*u^18 + 203152*u^19 - 8664*u^20 - 63328*u^21 - 622*u^22 + 9200*u^23)\/8177", "(-6472 - 2641*u - 7310*u^2 - 19995*u^3 + 5182*u^4 + 36524*u^5 + 14160*u^6 - 30906*u^7 - 19304*u^8 + 29169*u^9 + 4930*u^10 - 58903*u^11 - 11482*u^12 + 82463*u^13 + 42542*u^14 - 68996*u^15 - 58020*u^16 + 34600*u^17 + 41284*u^18 - 9260*u^19 - 15914*u^20 + 800*u^21 + 2644*u^22 + 16*u^23)\/8177" ], [ "(-1546 + 1233*u + 7344*u^2 + 404*u^3 - 16324*u^4 - 6659*u^5 + 19186*u^6 + 10676*u^7 - 18202*u^8 - 8759*u^9 + 23630*u^10 + 14260*u^11 - 30224*u^12 - 30934*u^13 + 26372*u^14 + 42056*u^15 - 14120*u^16 - 35223*u^17 + 3728*u^18 + 18276*u^19 + 88*u^20 - 5501*u^21 - 226*u^22 + 758*u^23)\/629", "(3426 + 42139*u + 29002*u^2 - 98160*u^3 - 125292*u^4 + 75899*u^5 + 171994*u^6 - 34799*u^7 - 138726*u^8 + 85627*u^9 + 185436*u^10 - 122512*u^11 - 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4.1714007544306612794`4.532359954752556*I", "-16.8056124389278210056`5.137532383283528 + 4.1714007544306612794`4.532359954752556*I", "-7.1943875610721789778`5.087581973580922 + 4.1714007544306616675`4.850870059409688*I", "-7.1943875610721789778`5.087581973580922 - 4.1714007544306616675`4.850870059409688*I", "-13.9908799230630668647`5.1498717568496915 + 0.76203764212655419`3.8860031521553644*I", "-13.9908799230630668647`5.1498717568496915 - 0.76203764212655419`3.8860031521553644*I", "-11.9999999999999999721`5.107211186761419 + 5.6373987570698274024`4.7791086961069995*I", "-11.9999999999999999721`5.107211186761419 - 5.6373987570698274024`4.7791086961069995*I", "-11.9999999999999999162`5.113996888900062 - 5.1353862145012419453`4.745388753788527*I", "-11.9999999999999999162`5.113996888900062 + 5.1353862145012419453`4.745388753788527*I", "-16.805612438927820486`5.137532383283528 - 4.1714007544306610414`4.532359954752556*I", "-16.805612438927820486`5.137532383283528 + 4.1714007544306610414`4.532359954752556*I", "-13.9908799230630669735`5.1498717568496915 - 0.7620376421265542229`3.8860031521553644*I", "-13.9908799230630669735`5.1498717568496915 + 0.7620376421265542229`3.8860031521553644*I" ], "Abelian":false }, { "IdealName":"J10_66_2", "Generators":[ "-1 + b", "2 - 4*a + a^2", "1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.070000000000001e-2, "TimingZeroDimVars":7.0425e-2, "TimingmagmaVCompNormalize":7.1661e-2, "TimingNumberOfSols":2.9552000000000002e-2, "TimingIsRadical":1.925e-3, "TimingArcColoring":6.553e-2, "TimingObstruction":1.071e-3, "TimingComplexVolumeN":2.706716, "TimingaCuspShapeN":7.395e-3, "TiminguValues":0.637101, "TiminguPolysN":2.4e-4, "TiminguPolys":0.803272, "TimingaCuspShape":8.9718e-2, "TimingRepresentationsN":2.8293e-2, "TiminguValues_ij":0.146442, "TiminguPolys_ij_N":4.87e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "-1 + a", 1 ], [ -1, "-3 + a" ], [ "1 - a", -1 ], "{1, 0}", "{1, 1}", [ "1 - a", "3 - a" ], "{-1, -1}", "{0, -1}", "{1, 0}", [ "a", 1 ] ], "Obstruction":1, "ComplexVolumeN":[ -8.22467, -8.22467 ], "uPolysN":[ "-2 + u^2", "-2 + u^2", "1 - 2*u + u^2", "1 + 2*u + u^2", "-2 + u^2", "-2 + u^2", "1 - 2*u + u^2", "1 - 2*u + u^2", "1 - 2*u + u^2", "1 + 2*u + u^2" ], "uPolys":[ "-2 + u^2", "-2 + u^2", "(-1 + u)^2", "(1 + u)^2", "-2 + u^2", "-2 + u^2", "(-1 + u)^2", "(-1 + u)^2", "(-1 + u)^2", "(1 + u)^2" ], "aCuspShape":-20, "RepresentationsN":[ [ "u->-1.", "a->0.585786", "b->1." ], [ "u->-1.", "a->3.41421", "b->1." ] ], "Epsilon":2.82843, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "4 - 4*u + u^2", "-1 + 2*u + u^2", "-2 + u^2", "-1 - 2*u + u^2", "-1 + 2*u + u^2", "-2 + u^2", "-1 - 2*u + u^2", "2 - 4*u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{1, 9}", "{1, 10}", "{4, 7}", "{4, 8}", "{5, 8}", "{5, 9}", "{6, 10}" ], [ "{1, 3}", "{4, 9}", "{5, 7}" ], [ "{2, 8}", "{3, 4}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 10}", "{7, 8}", "{7, 9}", "{8, 9}", "{9, 10}" ], [ "{1, 2}", "{2, 3}", "{5, 6}", "{6, 7}" ], [ "{1, 8}", "{2, 10}", "{5, 10}" ], [ "{1, 7}", "{2, 5}", "{3, 5}", "{3, 6}" ], [ "{2, 4}", "{2, 9}", "{4, 6}" ], [ "{6, 9}" ], [ "{1, 5}", "{1, 6}", "{2, 6}", "{2, 7}", "{3, 7}" ], [ "{3, 8}", "{6, 8}", "{7, 10}" ], [ "{8, 10}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":[ -2.0e1, -2.0e1 ], "Abelian":false }, { "IdealName":"J10_66_3", "Generators":[ "1 + b", "2 + a", "-1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.140000000000001e-2, "TimingZeroDimVars":6.736600000000001e-2, "TimingmagmaVCompNormalize":6.8775e-2, "TimingNumberOfSols":2.6378e-2, "TimingIsRadical":1.776e-3, "TimingArcColoring":6.5086e-2, "TimingObstruction":3.84e-4, "TimingComplexVolumeN":0.794888, "TimingaCuspShapeN":4.563e-3, "TiminguValues":0.629302, "TiminguPolysN":8.6e-5, "TiminguPolys":0.812136, "TimingaCuspShape":9.1182e-2, "TimingRepresentationsN":2.6888000000000002e-2, "TiminguValues_ij":0.157422, "TiminguPoly_ij":0.377273, "TiminguPolys_ij_N":7.2e-5 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{-1, -1}", "{-1, -1}", "{-1, -1}", "{1, 0}", "{1, 1}", "{1, 1}", "{1, 1}", "{0, 1}", "{-1, 0}", "{-2, -1}" ], "Obstruction":1, "ComplexVolumeN":[ -3.28987 ], "uPolysN":[ "u", "u", "1 + u", "-1 + u", "u", "u", "-1 + u", "1 + u", "-1 + u", "-1 + u" ], "uPolys":[ "u", "u", "1 + u", "-1 + u", "u", "u", "-1 + u", "1 + u", "-1 + u", "-1 + u" ], "aCuspShape":-12, "RepresentationsN":[ [ "u->1.", "a->-2.", "b->-1." ] ], "Epsilon":"Infinity", "uPolys_ij":[ "1 + u", "u", "-1 + u", "-2 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + u", "u", "-1 + u", "-2 + u" ], "Multiplicity":1, "ij_list":[ [ "{1, 8}", "{1, 9}", "{1, 10}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 10}" ], [ "{1, 2}", "{1, 3}", "{1, 5}", "{1, 6}", "{1, 7}", "{2, 3}", "{2, 5}", "{2, 6}", "{2, 7}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 9}", "{5, 6}", "{5, 7}", "{6, 7}" ], [ "{1, 4}", "{2, 4}", "{3, 4}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{9, 10}" ], [ "{8, 10}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":[ -1.2e1 ], "Abelian":false }, { "IdealName":"abJ10_66_4", "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":7.949200000000001e-2, "TimingZeroDimVars":6.067e-2, "TimingmagmaVCompNormalize":6.1979e-2, "TimingNumberOfSols":2.6075e-2, "TimingIsRadical":1.85e-3, "TimingArcColoring":6.2025e-2, "TimingObstruction":4.62e-4, "TimingComplexVolumeN":0.458598, "TimingaCuspShapeN":4.422e-3, "TiminguValues":0.635476, "TiminguPolysN":7.900000000000002e-5, "TiminguPolys":0.801002, "TimingaCuspShape":9.814e-2, "TimingRepresentationsN":2.6631000000000002e-2, "TiminguValues_ij":0.1467, "TiminguPoly_ij":0.146711, "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":[ "u*(-2 + u^2)*(1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12)^2*(-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16)", "u*(-2 + u^2)*(1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12)^2*(-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16)", "(-1 + u)^2*(1 + u)*(-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16)*(1 + 4*u + 6*u^2 - 4*u^3 - 18*u^4 - 9*u^5 + 19*u^6 + 18*u^7 - 12*u^8 - 12*u^9 + 20*u^10 + 14*u^11 - 34*u^12 - 38*u^13 + 26*u^14 + 58*u^15 - 51*u^17 - 17*u^18 + 27*u^19 + 15*u^20 - 8*u^21 - 6*u^22 + u^23 + u^24)", "(-1 + u)*(1 + u)^2*(-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16)*(1 + 4*u + 6*u^2 - 4*u^3 - 18*u^4 - 9*u^5 + 19*u^6 + 18*u^7 - 12*u^8 - 12*u^9 + 20*u^10 + 14*u^11 - 34*u^12 - 38*u^13 + 26*u^14 + 58*u^15 - 51*u^17 - 17*u^18 + 27*u^19 + 15*u^20 - 8*u^21 - 6*u^22 + u^23 + u^24)", "u*(-2 + u^2)*(1 + 4*u + 7*u^2 + 7*u^3 + 14*u^4 + 24*u^5 + 24*u^6 + 14*u^7 + 5*u^8 + 4*u^9 + 5*u^10 + 3*u^11 + u^12)^2*(14 - 34*u + 174*u^3 - 559*u^4 + 1092*u^5 - 1545*u^6 + 1653*u^7 - 1322*u^8 + 732*u^9 - 186*u^10 - 110*u^11 + 163*u^12 - 102*u^13 + 39*u^14 - 9*u^15 + u^16)", "u*(-2 + u^2)*(1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12)^2*(-2 - 2*u + 4*u^2 - 8*u^3 + u^4 + 12*u^5 - 19*u^6 - u^7 + 20*u^8 - 18*u^9 - 8*u^10 + 24*u^11 + 3*u^12 - 14*u^13 - 3*u^14 + 3*u^15 + u^16)", "(-1 + u)^3*(1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16)*(1 + 4*u + 32*u^2 + 122*u^3 + 312*u^4 + 629*u^5 + 1081*u^6 + 1656*u^7 + 2356*u^8 + 3202*u^9 + 4154*u^10 + 5038*u^11 + 5646*u^12 + 5962*u^13 + 6162*u^14 + 6286*u^15 + 6048*u^16 + 5141*u^17 + 3667*u^18 + 2119*u^19 + 963*u^20 + 332*u^21 + 82*u^22 + 13*u^23 + u^24)", "(-1 + u)^2*(1 + u)*(-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16)*(1 + 4*u + 6*u^2 - 4*u^3 - 18*u^4 - 9*u^5 + 19*u^6 + 18*u^7 - 12*u^8 - 12*u^9 + 20*u^10 + 14*u^11 - 34*u^12 - 38*u^13 + 26*u^14 + 58*u^15 - 51*u^17 - 17*u^18 + 27*u^19 + 15*u^20 - 8*u^21 - 6*u^22 + u^23 + u^24)", "(-1 + u)^3*(1 + 10*u + 31*u^2 + 65*u^3 + 125*u^4 + 196*u^5 + 285*u^6 + 361*u^7 + 419*u^8 + 422*u^9 + 373*u^10 + 275*u^11 + 168*u^12 + 80*u^13 + 29*u^14 + 7*u^15 + u^16)*(1 + 4*u + 32*u^2 + 122*u^3 + 312*u^4 + 629*u^5 + 1081*u^6 + 1656*u^7 + 2356*u^8 + 3202*u^9 + 4154*u^10 + 5038*u^11 + 5646*u^12 + 5962*u^13 + 6162*u^14 + 6286*u^15 + 6048*u^16 + 5141*u^17 + 3667*u^18 + 2119*u^19 + 963*u^20 + 332*u^21 + 82*u^22 + 13*u^23 + u^24)", "(-1 + u)*(1 + u)^2*(-1 - 2*u + 3*u^2 + 5*u^3 - u^4 - 8*u^5 + u^6 + 11*u^7 + 3*u^8 - 12*u^9 - 5*u^10 + 9*u^11 + 6*u^12 - 4*u^13 - 3*u^14 + u^15 + u^16)*(1 + 4*u + 6*u^2 - 4*u^3 - 18*u^4 - 9*u^5 + 19*u^6 + 18*u^7 - 12*u^8 - 12*u^9 + 20*u^10 + 14*u^11 - 34*u^12 - 38*u^13 + 26*u^14 + 58*u^15 - 51*u^17 - 17*u^18 + 27*u^19 + 15*u^20 - 8*u^21 - 6*u^22 + u^23 + u^24)" ], "RileyPolyC":[ "(-2 + y)^2*y*(1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12)^2*(4 - 20*y - 20*y^2 + 68*y^3 - 43*y^4 - 78*y^5 + 157*y^6 + 19*y^7 - 142*y^8 - 324*y^9 + 1064*y^10 - 1280*y^11 + 877*y^12 - 374*y^13 + 99*y^14 - 15*y^15 + y^16)", "(-2 + y)^2*y*(1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12)^2*(4 - 20*y - 20*y^2 + 68*y^3 - 43*y^4 - 78*y^5 + 157*y^6 + 19*y^7 - 142*y^8 - 324*y^9 + 1064*y^10 - 1280*y^11 + 877*y^12 - 374*y^13 + 99*y^14 - 15*y^15 + y^16)", "(-1 + y)^3*(1 - 10*y + 31*y^2 - 65*y^3 + 125*y^4 - 196*y^5 + 285*y^6 - 361*y^7 + 419*y^8 - 422*y^9 + 373*y^10 - 275*y^11 + 168*y^12 - 80*y^13 + 29*y^14 - 7*y^15 + y^16)*(1 - 4*y + 32*y^2 - 122*y^3 + 312*y^4 - 629*y^5 + 1081*y^6 - 1656*y^7 + 2356*y^8 - 3202*y^9 + 4154*y^10 - 5038*y^11 + 5646*y^12 - 5962*y^13 + 6162*y^14 - 6286*y^15 + 6048*y^16 - 5141*y^17 + 3667*y^18 - 2119*y^19 + 963*y^20 - 332*y^21 + 82*y^22 - 13*y^23 + y^24)", "(-1 + y)^3*(1 - 10*y + 31*y^2 - 65*y^3 + 125*y^4 - 196*y^5 + 285*y^6 - 361*y^7 + 419*y^8 - 422*y^9 + 373*y^10 - 275*y^11 + 168*y^12 - 80*y^13 + 29*y^14 - 7*y^15 + y^16)*(1 - 4*y + 32*y^2 - 122*y^3 + 312*y^4 - 629*y^5 + 1081*y^6 - 1656*y^7 + 2356*y^8 - 3202*y^9 + 4154*y^10 - 5038*y^11 + 5646*y^12 - 5962*y^13 + 6162*y^14 - 6286*y^15 + 6048*y^16 - 5141*y^17 + 3667*y^18 - 2119*y^19 + 963*y^20 - 332*y^21 + 82*y^22 - 13*y^23 + y^24)", "(-2 + y)^2*y*(1 - 2*y + 21*y^2 + 3*y^3 + 94*y^4 - 52*y^5 + 36*y^6 - 36*y^7 + 37*y^8 - 2*y^9 + 11*y^10 + y^11 + y^12)^2*(196 - 1156*y - 3820*y^2 + 720*y^3 + 7853*y^4 + 4170*y^5 - 2783*y^6 - 5733*y^7 - 4650*y^8 - 1752*y^9 - 96*y^10 + 140*y^11 + 153*y^12 - 42*y^13 + 11*y^14 - 3*y^15 + y^16)", "(-2 + y)^2*y*(1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12)^2*(4 - 20*y - 20*y^2 + 68*y^3 - 43*y^4 - 78*y^5 + 157*y^6 + 19*y^7 - 142*y^8 - 324*y^9 + 1064*y^10 - 1280*y^11 + 877*y^12 - 374*y^13 + 99*y^14 - 15*y^15 + y^16)", "(-1 + y)^3*(1 - 38*y - 89*y^2 + 175*y^3 + 1433*y^4 + 4188*y^5 + 7565*y^6 + 9459*y^7 + 8947*y^8 + 6742*y^9 + 4089*y^10 + 2001*y^11 + 788*y^12 + 240*y^13 + 57*y^14 + 9*y^15 + y^16)*(1 + 48*y + 672*y^2 + 2214*y^3 + 4516*y^4 + 8315*y^5 + 11013*y^6 + 12016*y^7 + 13408*y^8 + 6026*y^9 + 3838*y^10 - 302*y^11 + 1142*y^12 - 4870*y^13 + 4266*y^14 - 2842*y^15 + 2484*y^16 - 1409*y^17 + 723*y^18 - 383*y^19 + 171*y^20 - 52*y^21 + 18*y^22 - 5*y^23 + y^24)", "(-1 + y)^3*(1 - 10*y + 31*y^2 - 65*y^3 + 125*y^4 - 196*y^5 + 285*y^6 - 361*y^7 + 419*y^8 - 422*y^9 + 373*y^10 - 275*y^11 + 168*y^12 - 80*y^13 + 29*y^14 - 7*y^15 + y^16)*(1 - 4*y + 32*y^2 - 122*y^3 + 312*y^4 - 629*y^5 + 1081*y^6 - 1656*y^7 + 2356*y^8 - 3202*y^9 + 4154*y^10 - 5038*y^11 + 5646*y^12 - 5962*y^13 + 6162*y^14 - 6286*y^15 + 6048*y^16 - 5141*y^17 + 3667*y^18 - 2119*y^19 + 963*y^20 - 332*y^21 + 82*y^22 - 13*y^23 + y^24)", "(-1 + y)^3*(1 - 38*y - 89*y^2 + 175*y^3 + 1433*y^4 + 4188*y^5 + 7565*y^6 + 9459*y^7 + 8947*y^8 + 6742*y^9 + 4089*y^10 + 2001*y^11 + 788*y^12 + 240*y^13 + 57*y^14 + 9*y^15 + y^16)*(1 + 48*y + 672*y^2 + 2214*y^3 + 4516*y^4 + 8315*y^5 + 11013*y^6 + 12016*y^7 + 13408*y^8 + 6026*y^9 + 3838*y^10 - 302*y^11 + 1142*y^12 - 4870*y^13 + 4266*y^14 - 2842*y^15 + 2484*y^16 - 1409*y^17 + 723*y^18 - 383*y^19 + 171*y^20 - 52*y^21 + 18*y^22 - 5*y^23 + y^24)", "(-1 + y)^3*(1 - 10*y + 31*y^2 - 65*y^3 + 125*y^4 - 196*y^5 + 285*y^6 - 361*y^7 + 419*y^8 - 422*y^9 + 373*y^10 - 275*y^11 + 168*y^12 - 80*y^13 + 29*y^14 - 7*y^15 + y^16)*(1 - 4*y + 32*y^2 - 122*y^3 + 312*y^4 - 629*y^5 + 1081*y^6 - 1656*y^7 + 2356*y^8 - 3202*y^9 + 4154*y^10 - 5038*y^11 + 5646*y^12 - 5962*y^13 + 6162*y^14 - 6286*y^15 + 6048*y^16 - 5141*y^17 + 3667*y^18 - 2119*y^19 + 963*y^20 - 332*y^21 + 82*y^22 - 13*y^23 + y^24)" ] }, "GeometricRepresentation":[ 1.30293e1, [ "J10_66_0", 1, "{14, 15}" ] ] } }