{ "Index":189, "Name":"10_105", "RolfsenName":"10_105", "DTname":"10a_72", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{10, -16, 20, -18, 12, 2, 6, -4, -8, 14}", "Acode":"{6, -9, 1, -10, 7, 2, 4, -3, -5, 8}", "PDcode":[ "{1, 11, 2, 10}", "{3, 16, 4, 17}", "{5, 1, 6, 20}", "{7, 18, 8, 19}", "{9, 13, 10, 12}", "{11, 3, 12, 2}", "{13, 7, 14, 6}", "{15, 4, 16, 5}", "{17, 8, 18, 9}", "{19, 15, 20, 14}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{2, 9, 6}", [], [ "{2, -9, 3, 1}", "{6, 2, 7, 1}", "{2, 6, 1, 2}", "{3, 1, 4, 1}", "{6, 7, 5, 2}", "{9, -3, 8, 2}", "{1, 8, 10, 2}" ], "{7, 9}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "a - 2*b + 2*b^3 - a*b^4 - 2*b^5 + a*b^6 + b^7 - a*b^8 + u - 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 - a*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", "b - b^5 + b^7 - b^9 - u + 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 - u^3 + a*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", "-1 + a*b + a^2*u - 2*a^2*b^2*u + 2*a*b^3*u + a^2*b^4*u - 2*a*b^5*u + b^6*u - u^2 + a*b*u^2 + b^2*u^2 - u^4 + a*b*u^4", "b^2 + u + a*b*u - 2*a*b^3*u + b^4*u + a*b^5*u - b^6*u + u^2 - a*b*u^2 - b^2*u^2 + 2*u^4 - 2*a*b*u^4 - b^2*u^4 + u^6 - a*b*u^6" ], "TimingForPrimaryIdeals":0.198581 }, "v":{ "CheckEq":[ "b - b^5 + b^7 - b^9", "a - 2*b + 2*b^3 - a*b^4 - 2*b^5 + a*b^6 + b^7 - a*b^8 - v", "b^2 - b^2*v + 2*b^4*v - b^6*v", "-1 + a*b + v - a*b*v + 2*a*b^3*v - b^4*v - a*b^5*v + b^6*v + b^2*v^2" ], "TimingForPrimaryIdeals":9.939100000000002e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_105_0", "Generators":[ "331 + 1103*b - 1826*u + 516*u^2 + 730*u^3 - 2277*u^4 + 5099*u^5 - 2788*u^6 + 4277*u^7 - 1489*u^8 - 30*u^9 - 220*u^10 - 1690*u^11 - 42*u^12 - 903*u^13 - 36*u^14 - 176*u^15 - 30*u^16", "2562 + 1103*a - 581*u - 638*u^2 + 6750*u^3 - 11203*u^4 + 10296*u^5 - 7104*u^6 - 5207*u^7 + 18929*u^8 - 17457*u^9 + 35226*u^10 - 14977*u^11 + 24754*u^12 - 6053*u^13 + 8612*u^14 - 1159*u^15 + 1294*u^16", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.4532e-2, "TimingZeroDimVars":7.6004e-2, "TimingmagmaVCompNormalize":7.7345e-2, "TimingNumberOfSols":0.169728, "TimingIsRadical":1.1378999999999997e-2, "TimingArcColoring":6.990400000000001e-2, "TimingObstruction":3.4069e-2, "TimingComplexVolumeN":1.3556168e1, "TimingaCuspShapeN":8.9447e-2, "TiminguValues":0.665795, "TiminguPolysN":3.2012e-2, "TiminguPolys":0.850026, "TimingaCuspShape":0.125725, "TimingRepresentationsN":0.160947, "TiminguValues_ij":0.201004, "TiminguPoly_ij":1.915416, "TiminguPolys_ij_N":8.029299999999999e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":17, "IsRadical":true, "ArcColoring":[ [ "(450 + 350*u - 2021*u^2 + 1369*u^3 - 2939*u^4 - 209*u^5 + 3934*u^6 - 4159*u^7 + 5740*u^8 - 7052*u^9 - 609*u^10 - 4227*u^11 - 3696*u^12 - 1151*u^13 - 2065*u^14 - 46*u^15 - 434*u^16)\/1103", "(-1781 - 895*u - 867*u^2 - 4651*u^3 + 5987*u^4 - 5406*u^5 + 8250*u^6 + 5325*u^7 - 14678*u^8 + 10375*u^9 - 36055*u^10 + 9060*u^11 - 28492*u^12 + 3999*u^13 - 10713*u^14 + 937*u^15 - 1758*u^16)\/1103" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "(1998 + 451*u - 1164*u^2 + 7049*u^3 - 10049*u^4 + 9352*u^5 - 6049*u^6 - 4877*u^7 + 20853*u^8 - 14810*u^9 + 40666*u^10 - 13297*u^11 + 30004*u^12 - 5684*u^13 + 10906*u^14 - 1219*u^15 + 1735*u^16)\/1103" ], [ -1, "(-345 + 1570*u + 42*u^2 - 3660*u^3 + 7805*u^4 - 11936*u^5 + 7058*u^6 + 1387*u^7 - 10651*u^8 + 18569*u^9 - 27439*u^10 + 18793*u^11 - 21653*u^12 + 8199*u^13 - 8160*u^14 + 1653*u^15 - 1285*u^16)\/1103" ], [ "(-2562 + 581*u + 638*u^2 - 6750*u^3 + 11203*u^4 - 10296*u^5 + 7104*u^6 + 5207*u^7 - 18929*u^8 + 17457*u^9 - 35226*u^10 + 14977*u^11 - 24754*u^12 + 6053*u^13 - 8612*u^14 + 1159*u^15 - 1294*u^16)\/1103", "(-331 + 1826*u - 516*u^2 - 730*u^3 + 2277*u^4 - 5099*u^5 + 2788*u^6 - 4277*u^7 + 1489*u^8 + 30*u^9 + 220*u^10 + 1690*u^11 + 42*u^12 + 903*u^13 + 36*u^14 + 176*u^15 + 30*u^16)\/1103" ], [ "(-2231 - 1245*u + 1154*u^2 - 6020*u^3 + 8926*u^4 - 5197*u^5 + 4316*u^6 + 9484*u^7 - 20418*u^8 + 17427*u^9 - 35446*u^10 + 13287*u^11 - 24796*u^12 + 5150*u^13 - 8648*u^14 + 983*u^15 - 1324*u^16)\/1103", "(-331 + 1826*u - 516*u^2 - 730*u^3 + 2277*u^4 - 5099*u^5 + 2788*u^6 - 4277*u^7 + 1489*u^8 + 30*u^9 + 220*u^10 + 1690*u^11 + 42*u^12 + 903*u^13 + 36*u^14 + 176*u^15 + 30*u^16)\/1103" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "u", "(-1285 - 1122*u - 1570*u^2 - 3897*u^3 + 2375*u^4 - 3950*u^5 + 8081*u^6 + 1937*u^7 - 7812*u^8 + 1656*u^9 - 27564*u^10 + 1739*u^11 - 23933*u^12 + 1093*u^13 - 9484*u^14 + 450*u^15 - 1653*u^16)\/1103" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-0.65585 - 3.58827*I", "-0.65585 + 3.58827*I", "-3.72641 - 6.7703*I", "-3.72641 + 6.7703*I", "2.74501 + 0.69*I", "2.74501 - 0.69*I", "0.24233 + 1.64711*I", "0.24233 - 1.64711*I", "2.06897 + 4.31656*I", "2.06897 - 4.31656*I", "-10.0423 + 5.59145*I", "-10.0423 - 5.59145*I", "-3.89694 - 9.32757*I", "-3.89694 + 9.32757*I", "-6.4799 + 15.1817*I", "-6.4799 - 15.1817*I", -1.63327 ], "uPolysN":[ "8 - 36*u + 84*u^2 - 121*u^3 + 96*u^4 + 25*u^5 - 200*u^6 + 308*u^7 - 246*u^8 + 49*u^9 + 129*u^10 - 168*u^11 + 91*u^12 - 4*u^13 - 29*u^14 + 21*u^15 - 7*u^16 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "64 - 48*u - 120*u^2 - 87*u^3 - 94*u^4 + 225*u^5 + 258*u^6 + 266*u^7 + 164*u^8 + 171*u^9 + 245*u^10 + 272*u^11 + 225*u^12 + 142*u^13 + 71*u^14 + 27*u^15 + 7*u^16 + u^17", "8 - 36*u + 84*u^2 - 121*u^3 + 96*u^4 + 25*u^5 - 200*u^6 + 308*u^7 - 246*u^8 + 49*u^9 + 129*u^10 - 168*u^11 + 91*u^12 - 4*u^13 - 29*u^14 + 21*u^15 - 7*u^16 + u^17", "1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "-64 + 608*u - 2752*u^2 + 7984*u^3 - 16740*u^4 + 27162*u^5 - 35679*u^6 + 39102*u^7 - 36343*u^8 + 28748*u^9 - 19236*u^10 + 10759*u^11 - 4949*u^12 + 1830*u^13 - 525*u^14 + 110*u^15 - 15*u^16 + u^17" ], "uPolys":[ "8 - 36*u + 84*u^2 - 121*u^3 + 96*u^4 + 25*u^5 - 200*u^6 + 308*u^7 - 246*u^8 + 49*u^9 + 129*u^10 - 168*u^11 + 91*u^12 - 4*u^13 - 29*u^14 + 21*u^15 - 7*u^16 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "64 - 48*u - 120*u^2 - 87*u^3 - 94*u^4 + 225*u^5 + 258*u^6 + 266*u^7 + 164*u^8 + 171*u^9 + 245*u^10 + 272*u^11 + 225*u^12 + 142*u^13 + 71*u^14 + 27*u^15 + 7*u^16 + u^17", "8 - 36*u + 84*u^2 - 121*u^3 + 96*u^4 + 25*u^5 - 200*u^6 + 308*u^7 - 246*u^8 + 49*u^9 + 129*u^10 - 168*u^11 + 91*u^12 - 4*u^13 - 29*u^14 + 21*u^15 - 7*u^16 + u^17", "1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "-64 + 608*u - 2752*u^2 + 7984*u^3 - 16740*u^4 + 27162*u^5 - 35679*u^6 + 39102*u^7 - 36343*u^8 + 28748*u^9 - 19236*u^10 + 10759*u^11 - 4949*u^12 + 1830*u^13 - 525*u^14 + 110*u^15 - 15*u^16 + u^17" ], "aCuspShape":"-2 + (-1824 + 52*u - 5456*u^2 + 2422*u^3 - 3191*u^4 + 11333*u^5 + 5923*u^6 - 31483*u^7 + 17839*u^8 - 72686*u^9 + 28764*u^10 - 58400*u^11 + 21555*u^12 - 22439*u^13 + 8076*u^14 - 3902*u^15 + 1215*u^16)\/1103", "RepresentationsN":[ [ "u->-0.099668 + 0.990377 I", "a->0.755793 + 0.048508 I", "b->0.874913 + 1.01707 I" ], [ "u->-0.099668 - 0.990377 I", "a->0.755793 - 0.048508 I", "b->0.874913 - 1.01707 I" ], [ "u->-0.397497 + 1.03242 I", "a->2.0424 - 0.79952 I", "b->1.30568 + 0.56699 I" ], [ "u->-0.397497 - 1.03242 I", "a->2.0424 + 0.79952 I", "b->1.30568 - 0.56699 I" ], [ "u->0.749827 + 0.244567 I", "a->0.10891 + 0.611388 I", "b->0.696825 - 0.650971 I" ], [ "u->0.749827 - 0.244567 I", "a->0.10891 - 0.611388 I", "b->0.696825 + 0.650971 I" ], [ "u->0.346178 + 0.692637 I", "a->-0.666585 + 0.297186 I", "b->-0.037067 + 0.756233 I" ], [ "u->0.346178 - 0.692637 I", "a->-0.666585 - 0.297186 I", "b->-0.037067 - 0.756233 I" ], [ "u->-0.736048 + 0.038467 I", "a->0.755454 + 0.90861 I", "b->0.928563 - 0.63841 I" ], [ "u->-0.736048 - 0.038467 I", "a->0.755454 - 0.90861 I", "b->0.928563 + 0.63841 I" ], [ "u->0.285508 + 1.35754 I", "a->-1.79507 - 0.11101 I", "b->-1.37544 - 0.134825 I" ], [ "u->0.285508 - 1.35754 I", "a->-1.79507 + 0.11101 I", "b->-1.37544 + 0.134825 I" ], [ "u->-0.52629 + 1.31806 I", "a->-0.119329 - 0.266115 I", "b->0.352099 - 0.977016 I" ], [ "u->-0.52629 - 1.31806 I", "a->-0.119329 + 0.266115 I", "b->0.352099 + 0.977016 I" ], [ "u->0.59743 + 1.42672 I", "a->1.62332 + 0.789 I", "b->1.19294 - 0.641161 I" ], [ "u->0.59743 - 1.42672 I", "a->1.62332 - 0.789 I", "b->1.19294 + 0.641161 I" ], [ "u->-0.438874", "a->-1.40978", "b->-0.877026" ] ], "Epsilon":1.58929, "uPolys_ij":[ "1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17", "-1 + 4*u + 10*u^2 - 9*u^3 - 57*u^4 - 25*u^5 + 137*u^6 + 145*u^7 - 173*u^8 - 383*u^9 - 69*u^10 + 468*u^11 + 680*u^12 + 502*u^13 + 231*u^14 + 68*u^15 + 12*u^16 + u^17", "1 - 8*u + 8*u^2 + 45*u^3 + u^4 + 22*u^5 - 103*u^6 - 108*u^7 + 261*u^8 + 136*u^9 - 232*u^10 - 85*u^11 + 121*u^12 + 44*u^13 - 32*u^14 - 11*u^15 + 3*u^16 + u^17", "122600 + 264140*u + 151124*u^2 - 35225*u^3 + 206556*u^4 + 683846*u^5 + 631764*u^6 + 472442*u^7 + 191865*u^8 + 20906*u^9 - 6556*u^10 + 952*u^11 + 2037*u^12 + 829*u^13 + 222*u^14 + 54*u^15 + 10*u^16 + u^17", "64 - 48*u - 120*u^2 - 87*u^3 - 94*u^4 + 225*u^5 + 258*u^6 + 266*u^7 + 164*u^8 + 171*u^9 + 245*u^10 + 272*u^11 + 225*u^12 + 142*u^13 + 71*u^14 + 27*u^15 + 7*u^16 + u^17", "1 - 9*u + 35*u^2 - 91*u^3 + 292*u^4 - 337*u^5 - 39*u^6 + 735*u^7 - 1179*u^8 + 1262*u^9 - 1017*u^10 + 680*u^11 - 364*u^12 + 166*u^13 - 56*u^14 + 20*u^15 - 3*u^16 + u^17", "1 + 4*u + u^2 - 18*u^3 + 4*u^4 + 98*u^5 - 8*u^6 - 208*u^7 + 10*u^8 + 236*u^9 - 20*u^10 - 143*u^11 + 19*u^12 + 46*u^13 - 8*u^14 - 8*u^15 + u^16 + u^17", "67 + 80*u - 192*u^2 - 500*u^3 + 285*u^4 + 1075*u^5 - 55*u^6 - 997*u^7 + 22*u^8 + 633*u^9 + 65*u^10 - 241*u^11 - 82*u^12 + 65*u^13 + 29*u^14 - 11*u^15 - 3*u^16 + u^17", "8 + 60*u + 68*u^2 - 315*u^3 + 519*u^4 + 252*u^5 - 2149*u^6 + 2367*u^7 - 90*u^8 - 749*u^9 + 50*u^10 + 36*u^11 + 27*u^12 + 53*u^13 + u^14 - 12*u^15 + u^17", "97 - 43*u + 663*u^2 + 955*u^3 + 436*u^4 + 201*u^5 - 4017*u^6 + 131*u^7 + 2493*u^8 + 3396*u^9 + 2299*u^10 + 1590*u^11 + 594*u^12 + 308*u^13 + 68*u^14 + 28*u^15 + 3*u^16 + u^17", "4096 - 21504*u + 43520*u^2 - 2816*u^3 - 216400*u^4 + 662740*u^5 - 1187393*u^6 + 1500070*u^7 - 1416406*u^8 + 1023173*u^9 - 570027*u^10 + 244517*u^11 - 79933*u^12 + 19515*u^13 - 3438*u^14 + 412*u^15 - 30*u^16 + u^17", "1192 - 1124*u - 14284*u^2 + 61323*u^3 - 137094*u^4 + 214695*u^5 - 260330*u^6 + 255078*u^7 - 205657*u^8 + 137385*u^9 - 76119*u^10 + 34847*u^11 - 13056*u^12 + 3932*u^13 - 922*u^14 + 159*u^15 - 18*u^16 + u^17", "4096 + 17664*u - 5984*u^2 - 69615*u^3 + 32594*u^4 + 44429*u^5 - 58102*u^6 + 93094*u^7 - 91200*u^8 + 51619*u^9 - 11399*u^10 + 212*u^11 + 697*u^12 - 186*u^13 - 21*u^14 + 19*u^15 - 5*u^16 + u^17", "1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17", "1 + u - u^2 + 15*u^3 - 5*u^4 - 6*u^5 + 120*u^6 - 92*u^7 + 104*u^8 + 212*u^9 - 293*u^10 + 440*u^11 - 183*u^12 + 163*u^13 - 34*u^14 + 22*u^15 - 2*u^16 + u^17", "1 + 4*u + 4*u^2 + 23*u^3 + 11*u^4 + 40*u^5 + 33*u^6 + 7*u^7 + 60*u^8 + 9*u^9 + 22*u^10 + 25*u^11 - 4*u^12 + 14*u^13 + 3*u^15 - 2*u^16 + u^17", "1 - 5*u + 23*u^2 - 57*u^3 + 100*u^4 - 83*u^5 - 39*u^6 + 189*u^7 - 141*u^8 + 16*u^9 + 161*u^10 - 140*u^11 - 62*u^12 + 76*u^13 + 2*u^14 - 12*u^15 + u^16 + u^17", "8 + 12*u + 124*u^2 - 87*u^3 - 38*u^4 + 140*u^5 + 100*u^6 - 372*u^7 - 92*u^8 + 165*u^9 + 63*u^10 + 173*u^11 - 104*u^12 + 66*u^13 - 12*u^14 + 3*u^15 - u^16 + u^17", "4096 + 17408*u + 7680*u^2 + 69376*u^3 - 14128*u^4 + 85548*u^5 - 44959*u^6 + 6178*u^7 + 4469*u^8 + 16758*u^9 + 7468*u^10 + 2077*u^11 - 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5.5617685728906143571`4.938200672801377*I", "-2.2643818768881720759`4.9440564852789555 - 2.8532276129505752055`5.0444432333353335*I", "-2.2643818768881720759`4.9440564852789555 + 2.8532276129505752055`5.0444432333353335*I", "2.376718022483194869`4.751655376116255 - 5.4594846323165920305`5.1128293645538605*I", "2.376718022483194869`4.751655376116255 + 5.4594846323165920305`5.1128293645538605*I", "-2.9498428551932560894`4.800568045132404 - 5.9075330661759892185`5.102175325571606*I", "-2.9498428551932560894`4.800568045132404 + 5.9075330661759892185`5.102175325571606*I" ], "Abelian":false }, { "IdealName":"abJ10_105_3", "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":9.107200000000001e-2, "TimingZeroDimVars":7.151099999999999e-2, "TimingmagmaVCompNormalize":7.278e-2, "TimingNumberOfSols":2.7864e-2, "TimingIsRadical":1.9470000000000006e-3, "TimingArcColoring":6.7025e-2, "TimingObstruction":3.86e-4, "TimingComplexVolumeN":0.321582, "TimingaCuspShapeN":4.301e-3, "TiminguValues":0.622469, "TiminguPolysN":7.6e-5, "TiminguPolys":0.806828, "TimingaCuspShape":9.330999999999999e-2, "TimingRepresentationsN":2.6989000000000006e-2, "TiminguValues_ij":0.15501, "TiminguPoly_ij":0.140996, "TiminguPolys_ij_N":2.9e-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 - 2*u^3 - u^4 + u^5 + u^6)^6*(1 - u - 2*u^2 + 2*u^3 + 3*u^4 - u^5 - 2*u^6 + u^8)*(8 - 36*u + 84*u^2 - 121*u^3 + 96*u^4 + 25*u^5 - 200*u^6 + 308*u^7 - 246*u^8 + 49*u^9 + 129*u^10 - 168*u^11 + 91*u^12 - 4*u^13 - 29*u^14 + 21*u^15 - 7*u^16 + u^17)", "(1 - u + 4*u^2 - 2*u^3 + 5*u^4 - u^5 + 4*u^6 + u^8)*(1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17)*(43 + 186*u + 750*u^2 + 1720*u^3 + 3872*u^4 + 6217*u^5 + 10193*u^6 + 12644*u^7 + 16516*u^8 + 16074*u^9 + 17696*u^10 + 12671*u^11 + 12582*u^12 + 5574*u^13 + 5189*u^14 + 1216*u^15 - 489*u^16 + 818*u^17 - 3356*u^18 + 925*u^19 - 3568*u^20 - 142*u^21 - 1878*u^22 - 1185*u^23 + 44*u^24 - 1262*u^25 + 880*u^26 - 760*u^27 + 722*u^28 - 302*u^29 + 322*u^30 - 80*u^31 + 88*u^32 - 13*u^33 + 14*u^34 - u^35 + u^36)", "(1 - u^3 - u^4 + u^7 + u^8)*(1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17)*(1 - 16*u + 110*u^2 - 368*u^3 + 502*u^4 + 181*u^5 - 817*u^6 - 752*u^7 + 1478*u^8 + 2440*u^9 - 1946*u^10 - 5273*u^11 + 1710*u^12 + 7844*u^13 + 265*u^14 - 9516*u^15 - 3329*u^16 + 8708*u^17 + 6080*u^18 - 5545*u^19 - 6352*u^20 + 2268*u^21 + 4374*u^22 - 823*u^23 - 2148*u^24 + 520*u^25 + 816*u^26 - 318*u^27 - 234*u^28 + 152*u^29 + 56*u^30 - 62*u^31 + 13*u^33 - 3*u^35 + u^36)", "(1 + u + 4*u^2 + 2*u^3 + 5*u^4 + u^5 + 4*u^6 + u^8)*(1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17)*(43 + 186*u + 750*u^2 + 1720*u^3 + 3872*u^4 + 6217*u^5 + 10193*u^6 + 12644*u^7 + 16516*u^8 + 16074*u^9 + 17696*u^10 + 12671*u^11 + 12582*u^12 + 5574*u^13 + 5189*u^14 + 1216*u^15 - 489*u^16 + 818*u^17 - 3356*u^18 + 925*u^19 - 3568*u^20 - 142*u^21 - 1878*u^22 - 1185*u^23 + 44*u^24 - 1262*u^25 + 880*u^26 - 760*u^27 + 722*u^28 - 302*u^29 + 322*u^30 - 80*u^31 + 88*u^32 - 13*u^33 + 14*u^34 - u^35 + u^36)", "(1 + u + 2*u^2 + 4*u^3 + 5*u^4 + 3*u^5 + u^6)^6*(1 - 5*u + 14*u^2 - 22*u^3 + 23*u^4 - 17*u^5 + 10*u^6 - 4*u^7 + u^8)*(64 - 48*u - 120*u^2 - 87*u^3 - 94*u^4 + 225*u^5 + 258*u^6 + 266*u^7 + 164*u^8 + 171*u^9 + 245*u^10 + 272*u^11 + 225*u^12 + 142*u^13 + 71*u^14 + 27*u^15 + 7*u^16 + u^17)", "(1 + u - 2*u^3 - u^4 + u^5 + u^6)^6*(1 + u - 2*u^2 - 2*u^3 + 3*u^4 + u^5 - 2*u^6 + u^8)*(8 - 36*u + 84*u^2 - 121*u^3 + 96*u^4 + 25*u^5 - 200*u^6 + 308*u^7 - 246*u^8 + 49*u^9 + 129*u^10 - 168*u^11 + 91*u^12 - 4*u^13 - 29*u^14 + 21*u^15 - 7*u^16 + u^17)", "(1 - u^3 - u^4 + u^7 + u^8)*(1 - u + 5*u^2 - 7*u^3 + 12*u^4 + 5*u^5 + 5*u^6 + 19*u^7 - 5*u^8 + 24*u^9 - 11*u^10 + 16*u^11 - 6*u^12 + 10*u^13 - 2*u^14 + 2*u^15 - u^16 + u^17)*(1 - 16*u + 110*u^2 - 368*u^3 + 502*u^4 + 181*u^5 - 817*u^6 - 752*u^7 + 1478*u^8 + 2440*u^9 - 1946*u^10 - 5273*u^11 + 1710*u^12 + 7844*u^13 + 265*u^14 - 9516*u^15 - 3329*u^16 + 8708*u^17 + 6080*u^18 - 5545*u^19 - 6352*u^20 + 2268*u^21 + 4374*u^22 - 823*u^23 - 2148*u^24 + 520*u^25 + 816*u^26 - 318*u^27 - 234*u^28 + 152*u^29 + 56*u^30 - 62*u^31 + 13*u^33 - 3*u^35 + u^36)", "(1 + u + 4*u^2 + 2*u^3 + 5*u^4 + u^5 + 4*u^6 + u^8)*(1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17)*(43 + 186*u + 750*u^2 + 1720*u^3 + 3872*u^4 + 6217*u^5 + 10193*u^6 + 12644*u^7 + 16516*u^8 + 16074*u^9 + 17696*u^10 + 12671*u^11 + 12582*u^12 + 5574*u^13 + 5189*u^14 + 1216*u^15 - 489*u^16 + 818*u^17 - 3356*u^18 + 925*u^19 - 3568*u^20 - 142*u^21 - 1878*u^22 - 1185*u^23 + 44*u^24 - 1262*u^25 + 880*u^26 - 760*u^27 + 722*u^28 - 302*u^29 + 322*u^30 - 80*u^31 + 88*u^32 - 13*u^33 + 14*u^34 - u^35 + u^36)", "(1 - u + 4*u^2 - 2*u^3 + 5*u^4 - u^5 + 4*u^6 + u^8)*(1 + 2*u + 3*u^3 + u^4 - 3*u^5 + 3*u^6 - 7*u^7 + 5*u^8 + 7*u^9 + 7*u^10 + 20*u^11 + 4*u^12 + 16*u^13 + u^14 + 6*u^15 + u^17)*(43 + 186*u + 750*u^2 + 1720*u^3 + 3872*u^4 + 6217*u^5 + 10193*u^6 + 12644*u^7 + 16516*u^8 + 16074*u^9 + 17696*u^10 + 12671*u^11 + 12582*u^12 + 5574*u^13 + 5189*u^14 + 1216*u^15 - 489*u^16 + 818*u^17 - 3356*u^18 + 925*u^19 - 3568*u^20 - 142*u^21 - 1878*u^22 - 1185*u^23 + 44*u^24 - 1262*u^25 + 880*u^26 - 760*u^27 + 722*u^28 - 302*u^29 + 322*u^30 - 80*u^31 + 88*u^32 - 13*u^33 + 14*u^34 - u^35 + u^36)", "(-1 + u^2 + u^3)^12*(1 - 2*u^2 - 3*u^3 + 4*u^5 + 6*u^6 + 4*u^7 + u^8)*(-64 + 608*u - 2752*u^2 + 7984*u^3 - 16740*u^4 + 27162*u^5 - 35679*u^6 + 39102*u^7 - 36343*u^8 + 28748*u^9 - 19236*u^10 + 10759*u^11 - 4949*u^12 + 1830*u^13 - 525*u^14 + 110*u^15 - 15*u^16 + u^17)" ], "RileyPolyC":[ "(1 - y + 2*y^2 - 4*y^3 + 5*y^4 - 3*y^5 + y^6)^6*(1 - 5*y + 14*y^2 - 22*y^3 + 23*y^4 - 17*y^5 + 10*y^6 - 4*y^7 + y^8)*(-64 - 48*y + 120*y^2 - 87*y^3 + 94*y^4 + 225*y^5 - 258*y^6 + 266*y^7 - 164*y^8 + 171*y^9 - 245*y^10 + 272*y^11 - 225*y^12 + 142*y^13 - 71*y^14 + 27*y^15 - 7*y^16 + y^17)", "(1 + 7*y + 22*y^2 + 42*y^3 + 55*y^4 + 47*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 4*y + 10*y^2 - 9*y^3 - 57*y^4 - 25*y^5 + 137*y^6 + 145*y^7 - 173*y^8 - 383*y^9 - 69*y^10 + 468*y^11 + 680*y^12 + 502*y^13 + 231*y^14 + 68*y^15 + 12*y^16 + y^17)*(1849 + 29904*y + 255652*y^2 + 1413474*y^3 + 5612212*y^4 + 17104471*y^5 + 42199537*y^6 + 87655634*y^7 + 155047928*y^8 + 227600248*y^9 + 258831946*y^10 + 191436477*y^11 + 15337930*y^12 - 189987204*y^13 - 299648721*y^14 - 250104904*y^15 - 93541347*y^16 + 59485666*y^17 + 135763782*y^18 + 133963385*y^19 + 91499290*y^20 + 43360800*y^21 + 7914310*y^22 - 9802707*y^23 - 13006844*y^24 - 8834066*y^25 - 3725424*y^26 - 669378*y^27 + 343974*y^28 + 369338*y^29 + 184880*y^30 + 62876*y^31 + 15520*y^32 + 2779*y^33 + 346*y^34 + 27*y^35 + y^36)", "(1 - 2*y^2 - y^3 + 3*y^4 + 2*y^5 - 2*y^6 - y^7 + y^8)*(-1 - 9*y - 35*y^2 - 91*y^3 - 292*y^4 - 337*y^5 + 39*y^6 + 735*y^7 + 1179*y^8 + 1262*y^9 + 1017*y^10 + 680*y^11 + 364*y^12 + 166*y^13 + 56*y^14 + 20*y^15 + 3*y^16 + y^17)*(1 - 36*y + 1328*y^2 - 20826*y^3 + 184372*y^4 - 1007153*y^5 + 3626029*y^6 - 9070810*y^7 + 18179988*y^8 - 32449516*y^9 + 53597302*y^10 - 83272919*y^11 + 122605990*y^12 - 167993912*y^13 + 209383235*y^14 - 237407500*y^15 + 249314013*y^16 - 246414986*y^17 + 230214802*y^18 - 201896807*y^19 + 163549482*y^20 - 119539808*y^21 + 76988710*y^22 - 43004815*y^23 + 20767708*y^24 - 8717846*y^25 + 3212912*y^26 - 1063798*y^27 + 329602*y^28 - 98454*y^29 + 29076*y^30 - 8072*y^31 + 2056*y^32 - 429*y^33 + 78*y^34 - 9*y^35 + y^36)", "(1 + 7*y + 22*y^2 + 42*y^3 + 55*y^4 + 47*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 4*y + 10*y^2 - 9*y^3 - 57*y^4 - 25*y^5 + 137*y^6 + 145*y^7 - 173*y^8 - 383*y^9 - 69*y^10 + 468*y^11 + 680*y^12 + 502*y^13 + 231*y^14 + 68*y^15 + 12*y^16 + y^17)*(1849 + 29904*y + 255652*y^2 + 1413474*y^3 + 5612212*y^4 + 17104471*y^5 + 42199537*y^6 + 87655634*y^7 + 155047928*y^8 + 227600248*y^9 + 258831946*y^10 + 191436477*y^11 + 15337930*y^12 - 189987204*y^13 - 299648721*y^14 - 250104904*y^15 - 93541347*y^16 + 59485666*y^17 + 135763782*y^18 + 133963385*y^19 + 91499290*y^20 + 43360800*y^21 + 7914310*y^22 - 9802707*y^23 - 13006844*y^24 - 8834066*y^25 - 3725424*y^26 - 669378*y^27 + 343974*y^28 + 369338*y^29 + 184880*y^30 + 62876*y^31 + 15520*y^32 + 2779*y^33 + 346*y^34 + 27*y^35 + y^36)", "(1 + 3*y + 6*y^2 + 5*y^4 + y^5 + y^6)^6*(1 + 3*y + 22*y^2 + 10*y^3 + 23*y^4 + 23*y^5 + 10*y^6 + 4*y^7 + y^8)*(-4096 + 17664*y + 5984*y^2 - 69615*y^3 - 32594*y^4 + 44429*y^5 + 58102*y^6 + 93094*y^7 + 91200*y^8 + 51619*y^9 + 11399*y^10 + 212*y^11 - 697*y^12 - 186*y^13 + 21*y^14 + 19*y^15 + 5*y^16 + y^17)", "(1 - y + 2*y^2 - 4*y^3 + 5*y^4 - 3*y^5 + y^6)^6*(1 - 5*y + 14*y^2 - 22*y^3 + 23*y^4 - 17*y^5 + 10*y^6 - 4*y^7 + y^8)*(-64 - 48*y + 120*y^2 - 87*y^3 + 94*y^4 + 225*y^5 - 258*y^6 + 266*y^7 - 164*y^8 + 171*y^9 - 245*y^10 + 272*y^11 - 225*y^12 + 142*y^13 - 71*y^14 + 27*y^15 - 7*y^16 + y^17)", "(1 - 2*y^2 - y^3 + 3*y^4 + 2*y^5 - 2*y^6 - y^7 + y^8)*(-1 - 9*y - 35*y^2 - 91*y^3 - 292*y^4 - 337*y^5 + 39*y^6 + 735*y^7 + 1179*y^8 + 1262*y^9 + 1017*y^10 + 680*y^11 + 364*y^12 + 166*y^13 + 56*y^14 + 20*y^15 + 3*y^16 + y^17)*(1 - 36*y + 1328*y^2 - 20826*y^3 + 184372*y^4 - 1007153*y^5 + 3626029*y^6 - 9070810*y^7 + 18179988*y^8 - 32449516*y^9 + 53597302*y^10 - 83272919*y^11 + 122605990*y^12 - 167993912*y^13 + 209383235*y^14 - 237407500*y^15 + 249314013*y^16 - 246414986*y^17 + 230214802*y^18 - 201896807*y^19 + 163549482*y^20 - 119539808*y^21 + 76988710*y^22 - 43004815*y^23 + 20767708*y^24 - 8717846*y^25 + 3212912*y^26 - 1063798*y^27 + 329602*y^28 - 98454*y^29 + 29076*y^30 - 8072*y^31 + 2056*y^32 - 429*y^33 + 78*y^34 - 9*y^35 + y^36)", "(1 + 7*y + 22*y^2 + 42*y^3 + 55*y^4 + 47*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 4*y + 10*y^2 - 9*y^3 - 57*y^4 - 25*y^5 + 137*y^6 + 145*y^7 - 173*y^8 - 383*y^9 - 69*y^10 + 468*y^11 + 680*y^12 + 502*y^13 + 231*y^14 + 68*y^15 + 12*y^16 + y^17)*(1849 + 29904*y + 255652*y^2 + 1413474*y^3 + 5612212*y^4 + 17104471*y^5 + 42199537*y^6 + 87655634*y^7 + 155047928*y^8 + 227600248*y^9 + 258831946*y^10 + 191436477*y^11 + 15337930*y^12 - 189987204*y^13 - 299648721*y^14 - 250104904*y^15 - 93541347*y^16 + 59485666*y^17 + 135763782*y^18 + 133963385*y^19 + 91499290*y^20 + 43360800*y^21 + 7914310*y^22 - 9802707*y^23 - 13006844*y^24 - 8834066*y^25 - 3725424*y^26 - 669378*y^27 + 343974*y^28 + 369338*y^29 + 184880*y^30 + 62876*y^31 + 15520*y^32 + 2779*y^33 + 346*y^34 + 27*y^35 + y^36)", "(1 + 7*y + 22*y^2 + 42*y^3 + 55*y^4 + 47*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 4*y + 10*y^2 - 9*y^3 - 57*y^4 - 25*y^5 + 137*y^6 + 145*y^7 - 173*y^8 - 383*y^9 - 69*y^10 + 468*y^11 + 680*y^12 + 502*y^13 + 231*y^14 + 68*y^15 + 12*y^16 + y^17)*(1849 + 29904*y + 255652*y^2 + 1413474*y^3 + 5612212*y^4 + 17104471*y^5 + 42199537*y^6 + 87655634*y^7 + 155047928*y^8 + 227600248*y^9 + 258831946*y^10 + 191436477*y^11 + 15337930*y^12 - 189987204*y^13 - 299648721*y^14 - 250104904*y^15 - 93541347*y^16 + 59485666*y^17 + 135763782*y^18 + 133963385*y^19 + 91499290*y^20 + 43360800*y^21 + 7914310*y^22 - 9802707*y^23 - 13006844*y^24 - 8834066*y^25 - 3725424*y^26 - 669378*y^27 + 343974*y^28 + 369338*y^29 + 184880*y^30 + 62876*y^31 + 15520*y^32 + 2779*y^33 + 346*y^34 + 27*y^35 + y^36)", "(-1 + 2*y - y^2 + y^3)^12*(1 - 4*y + 4*y^2 + 3*y^3 + 2*y^4 + 4*y^5 + 4*y^6 - 4*y^7 + y^8)*(-4096 + 17408*y - 7680*y^2 + 69376*y^3 + 14128*y^4 + 85548*y^5 + 44959*y^6 + 6178*y^7 - 4469*y^8 + 16758*y^9 - 7468*y^10 + 2077*y^11 + 13*y^12 - 154*y^13 + 23*y^14 + 10*y^15 - 5*y^16 + y^17)" ] }, "GeometricRepresentation":[ 1.51817e1, [ "J10_105_0", 1, "{15, 16}" ] ] } }