{ "Index":233, "Name":"10_149", "RolfsenName":"10_149", "DTname":"10n_11", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{16, -9, 18, 12, -3, 14, 8, 20, 2, 6}", "Acode":"{9, -5, 10, 7, -2, 8, 5, 1, 2, 4}", "PDcode":[ "{1, 17, 2, 16}", "{4, 9, 5, 10}", "{5, 19, 6, 18}", "{7, 13, 8, 12}", "{10, 3, 11, 4}", "{11, 15, 12, 14}", "{13, 9, 14, 8}", "{15, 1, 16, 20}", "{17, 3, 18, 2}", "{19, 7, 20, 6}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{8, 1, 5}", [], [ "{8, 1, 9, 1}", "{1, 9, 2, 1}", "{2, -5, 3, 1}", "{8, 5, 7, 2}", "{5, 7, 4, 2}", "{7, 8, 6, 2}", "{1, 4, 10, 2}" ], "{5, 9}", "{3}", 3 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a + a*b + b^2 + a*u^2 + b*u^2 - a*u^4", "b + b^2 - a*u^2 - b*u^2 + 2*a*u^4 + b*u^4 - a*u^6", "1 - a^2*u - 2*a*b*u - b^2*u + 2*a^2*b^2*u + 2*a*b^3*u - a^2*b^4*u - u^2", "-u - a*b*u - b^2*u + 2*a*b^3*u + b^4*u - a*b^5*u + 2*u^2 - u^4" ], "TimingForPrimaryIdeals":0.110152 }, "v":{ "CheckEq":[ "b + b^2", "1 - v + a*b*v + b^2*v - 2*a*b^3*v - b^4*v + a*b^5*v", "b^2*v - 2*b^4*v + b^6*v", "-1 + a + a*b + b^2 + b*v^2" ], "TimingForPrimaryIdeals":7.080499999999999e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_149_0", "Generators":[ "4761515 + 4026049*b - 2112771*u + 9366682*u^2 - 10204096*u^3 - 44823124*u^4 + 4896295*u^5 + 22171311*u^6 + 25663518*u^7 + 63435395*u^8 - 23744627*u^9 - 75315717*u^10 - 1964060*u^11 + 1541197*u^12 + 6704468*u^13 + 50134622*u^14 + 4610498*u^15 - 41757307*u^16 - 9126619*u^17 + 15220089*u^18 + 4592636*u^19 - 2322990*u^20 - 876201*u^21", "-11137406 + 4026049*a - 9393782*u + 6014973*u^2 - 32526109*u^3 + 77937624*u^4 + 88072384*u^5 - 51680487*u^6 + 6879138*u^7 - 115662463*u^8 - 135606070*u^9 + 157315201*u^10 + 76394769*u^11 - 33191020*u^12 + 66836302*u^13 - 67373672*u^14 - 112739338*u^15 + 61335449*u^16 + 66758474*u^17 - 21804549*u^18 - 19657937*u^19 + 3033235*u^20 + 2437160*u^21", "1 - 5*u + 8*u^2 - 12*u^3 - 19*u^4 + 46*u^5 + 13*u^6 - 6*u^7 + 13*u^8 - 81*u^9 - 28*u^10 + 78*u^11 + 4*u^12 + 5*u^13 + 30*u^14 - 54*u^15 - 37*u^16 + 41*u^17 + 22*u^18 - 14*u^19 - 7*u^20 + 2*u^21 + u^22" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.9613e-2, "TimingZeroDimVars":8.6899e-2, "TimingmagmaVCompNormalize":8.8087e-2, "TimingNumberOfSols":0.211108, "TimingIsRadical":1.9236e-2, "TimingArcColoring":8.342599999999999e-2, "TimingObstruction":6.0384e-2, "TimingComplexVolumeN":1.6619711e1, "TimingaCuspShapeN":0.121769, "TiminguValues":0.677632, "TiminguPolysN":6.0314e-2, "TiminguPolys":0.905746, "TimingaCuspShape":0.134536, "TimingRepresentationsN":0.204525, "TiminguValues_ij":0.229548, "TiminguPoly_ij":2.218465, "TiminguPolys_ij_N":0.139774 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":22, "IsRadical":true, "ArcColoring":[ [ 0, "u" ], [ "-u", "u - u^3" ], [ "(4470283 - 731275*u + 34320543*u^2 - 18117496*u^3 - 114310266*u^4 - 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28*u^10 - 78*u^11 + 4*u^12 - 5*u^13 + 30*u^14 + 54*u^15 - 37*u^16 - 41*u^17 + 22*u^18 + 14*u^19 - 7*u^20 - 2*u^21 + u^22", "1 + 9*u - 94*u^2 - 38*u^3 + 1639*u^4 + 3412*u^5 - 1377*u^6 - 10864*u^7 - 8873*u^8 + 9283*u^9 + 21920*u^10 + 11362*u^11 - 9472*u^12 - 17353*u^13 - 8884*u^14 + 2444*u^15 + 6833*u^16 + 5253*u^17 + 2426*u^18 + 742*u^19 + 149*u^20 + 18*u^21 + u^22", "1 + 9*u + 38*u^2 + 150*u^3 + 563*u^4 + 1720*u^5 + 4319*u^6 + 8356*u^7 + 12847*u^8 + 16275*u^9 + 17424*u^10 + 16510*u^11 + 13180*u^12 + 9823*u^13 + 6080*u^14 + 3612*u^15 + 1749*u^16 + 817*u^17 + 306*u^18 + 106*u^19 + 29*u^20 + 6*u^21 + u^22", "-937 - 9445*u - 12844*u^2 + 49792*u^3 + 88703*u^4 - 276756*u^5 - 1034361*u^6 - 1298034*u^7 - 553109*u^8 + 351219*u^9 + 496190*u^10 + 125894*u^11 - 106224*u^12 - 78671*u^13 - 4632*u^14 + 13586*u^15 + 4881*u^16 - 419*u^17 - 608*u^18 - 92*u^19 + 25*u^20 + 10*u^21 + u^22", "1089 - 4356*u - 61844*u^2 - 166971*u^3 - 133638*u^4 + 12765*u^5 - 87001*u^6 + 5558*u^7 + 1214405*u^8 + 2368390*u^9 + 1533958*u^10 - 111217*u^11 - 336919*u^12 + 118885*u^13 + 131712*u^14 + 1716*u^15 - 11429*u^16 + 2250*u^17 + 1078*u^18 - 171*u^19 - 40*u^20 + 7*u^21 + u^22", "1461188 + 5241492*u + 22489033*u^2 + 106768550*u^3 + 204870717*u^4 + 364449947*u^5 + 620834329*u^6 + 182971134*u^7 - 358031880*u^8 + 123392*u^9 + 74792593*u^10 - 7880080*u^11 - 6014121*u^12 + 794205*u^13 + 221350*u^14 + 20832*u^15 - 15880*u^16 + 770*u^17 - 289*u^18 + 78*u^19 - u^20 - 3*u^21 + u^22", "1 + 12776*u - 33312*u^2 + 41363*u^3 + 140744*u^4 - 352635*u^5 + 132915*u^6 + 117752*u^7 + 356863*u^8 - 1049508*u^9 + 1065006*u^10 - 519601*u^11 + 46305*u^12 + 134499*u^13 - 139500*u^14 + 90300*u^15 - 41375*u^16 + 12900*u^17 - 2436*u^18 + 167*u^19 + 38*u^20 - 11*u^21 + u^22", "1 + u - 4*u^2 - 2*u^3 + 9*u^4 - 10*u^5 - 47*u^6 - 4*u^7 + 69*u^8 + 17*u^9 - 86*u^10 - 62*u^11 + 34*u^12 + 25*u^13 - 38*u^14 - 38*u^15 + 7*u^16 + 15*u^17 - 2*u^18 - 8*u^19 - u^20 + 2*u^21 + u^22", "-847 - 2519*u + 10380*u^2 + 26432*u^3 - 48421*u^4 - 76566*u^5 + 160821*u^6 + 137240*u^7 - 276779*u^8 - 182261*u^9 + 255082*u^10 + 274708*u^11 + 24852*u^12 - 70755*u^13 - 25282*u^14 + 7062*u^15 + 4775*u^16 - 331*u^17 - 610*u^18 - 58*u^19 + 41*u^20 + 12*u^21 + u^22", "1 - 10*u + 54*u^2 - 75*u^3 - 892*u^4 + 1541*u^5 + 5213*u^6 + 7028*u^7 + 12931*u^8 + 12552*u^9 + 9844*u^10 + 7055*u^11 + 2371*u^12 + 2469*u^13 + 474*u^14 + 518*u^15 + 21*u^16 + 74*u^17 + 38*u^18 + 13*u^19 + 4*u^20 + 3*u^21 + u^22", "-9 + 104*u^2 + 77*u^3 - 432*u^4 - 897*u^5 - 519*u^6 + 294*u^7 + 871*u^8 + 1086*u^9 + 522*u^10 - 421*u^11 - 711*u^12 - 357*u^13 + 60*u^14 + 150*u^15 + 41*u^16 - 18*u^17 + 14*u^18 + 15*u^19 + 4*u^20 + u^21 + u^22", "49 + 299*u + 646*u^2 + 1206*u^3 + 2913*u^4 + 4064*u^5 + 4767*u^6 + 8828*u^7 + 6177*u^8 + 7897*u^9 + 8146*u^10 + 2686*u^11 + 5874*u^12 + 399*u^13 + 2082*u^14 + 146*u^15 + 383*u^16 + 193*u^17 - 14*u^18 + 36*u^19 + 3*u^20 + u^22", "1 - 53*u - 8*u^2 + 244*u^3 - 13*u^4 - 394*u^5 + 27*u^6 + 164*u^7 + 29*u^8 + 125*u^9 - 44*u^10 + 4*u^11 + 20*u^12 - 151*u^13 + 4*u^14 + 142*u^15 + 45*u^16 - 23*u^17 - 8*u^18 + 4*u^19 + 3*u^20 + 2*u^21 + u^22", "4 + 28*u + 65*u^2 + 76*u^3 + 127*u^4 + 183*u^5 - 17*u^6 - 274*u^7 - 332*u^8 - 228*u^9 + 213*u^10 + 544*u^11 + 171*u^12 - 297*u^13 - 244*u^14 + 12*u^15 + 102*u^16 + 48*u^17 - 13*u^18 - 20*u^19 - 3*u^20 + 3*u^21 + u^22", "1 + 120*u + 812*u^2 + 2947*u^3 + 7312*u^4 + 13633*u^5 + 20339*u^6 + 25232*u^7 + 26723*u^8 + 24784*u^9 + 20602*u^10 + 15695*u^11 + 11301*u^12 + 7843*u^13 + 5300*u^14 + 3420*u^15 + 2021*u^16 + 1056*u^17 + 464*u^18 + 167*u^19 + 46*u^20 + 9*u^21 + u^22", "496 - 1160*u + 1607*u^2 + 2318*u^3 - 9541*u^4 + 14521*u^5 - 5131*u^6 - 4574*u^7 + 10642*u^8 + 11894*u^9 + 37679*u^10 + 42144*u^11 + 30653*u^12 + 27173*u^13 + 18418*u^14 + 8778*u^15 + 3962*u^16 + 1482*u^17 + 435*u^18 + 132*u^19 + 29*u^20 + 5*u^21 + u^22", "1 - 12*u + 12*u^2 + 33*u^3 - 62*u^4 - 27*u^5 + 139*u^6 - 56*u^7 - 153*u^8 + 176*u^9 + 42*u^10 - 187*u^11 + 83*u^12 + 83*u^13 - 92*u^14 - 4*u^15 + 49*u^16 - 16*u^17 - 16*u^18 + 13*u^19 - 3*u^21 + u^22", "30649 + 134319*u + 354286*u^2 + 1057942*u^3 - 1621339*u^4 - 18349420*u^5 - 38458549*u^6 - 32380872*u^7 - 15242055*u^8 - 2882303*u^9 + 722374*u^10 + 1025838*u^11 + 643014*u^12 + 336423*u^13 + 145614*u^14 + 54992*u^15 + 18661*u^16 + 5769*u^17 + 1602*u^18 + 392*u^19 + 81*u^20 + 12*u^21 + u^22", "-7551 - 18795*u + 26326*u^2 + 107802*u^3 + 57419*u^4 - 38556*u^5 + 46925*u^6 + 346444*u^7 + 170249*u^8 - 312789*u^9 + 209284*u^10 + 228772*u^11 - 70356*u^12 - 64805*u^13 + 4862*u^14 + 6192*u^15 - 1223*u^16 - 375*u^17 + 228*u^18 + 40*u^19 - 5*u^20 + 2*u^21 + u^22", "7 - 9*u - 74*u^2 + 232*u^3 + 239*u^4 - 656*u^5 - 2019*u^6 + 1542*u^7 + 10173*u^8 + 3377*u^9 - 7708*u^10 - 3370*u^11 + 974*u^12 + 1489*u^13 + 1070*u^14 + 432*u^15 + 327*u^16 + 193*u^17 + 140*u^18 + 54*u^19 + 21*u^20 + 4*u^21 + u^22", "-1 - 13*u - 46*u^2 - 214*u^3 - 417*u^4 - 858*u^5 - 1449*u^6 - 1220*u^7 - 1911*u^8 - 579*u^9 - 1044*u^10 + 236*u^11 - 16*u^12 + 425*u^13 + 304*u^14 + 220*u^15 + 199*u^16 + 55*u^17 + 68*u^18 + 6*u^19 + 13*u^20 + u^22", "2694247 - 3728725*u + 1201874*u^2 + 5433834*u^3 - 9732531*u^4 + 3846342*u^5 - 3001251*u^6 - 1064174*u^7 + 585309*u^8 - 588243*u^9 + 241892*u^10 - 111172*u^11 + 45720*u^12 - 20333*u^13 + 2162*u^14 - 74*u^15 - 27*u^16 + 173*u^17 + 28*u^18 - 18*u^19 + 3*u^20 - 4*u^21 + u^22", "16 - 264*u + 985*u^2 + 350*u^3 - 1209*u^4 - 24847*u^5 + 49495*u^6 + 27984*u^7 - 164064*u^8 + 154252*u^9 + 39055*u^10 - 211778*u^11 + 219155*u^12 - 122443*u^13 + 38268*u^14 - 4668*u^15 - 148*u^16 - 888*u^17 + 917*u^18 - 406*u^19 + 103*u^20 - 15*u^21 + u^22", "9 + 66*u + 86*u^2 - 425*u^3 - 1036*u^4 + 751*u^5 + 3419*u^6 + 154*u^7 - 4969*u^8 - 84*u^9 + 7576*u^10 + 3921*u^11 - 3561*u^12 - 3723*u^13 - 474*u^14 + 752*u^15 + 457*u^16 + 60*u^17 - 78*u^18 - 43*u^19 + 5*u^21 + u^22", "1 - u - 2*u^2 + 36*u^3 - 23*u^4 - 254*u^5 - 325*u^6 + 702*u^7 + 1787*u^8 - 361*u^9 - 4116*u^10 - 1642*u^11 + 6042*u^12 + 3997*u^13 - 9644*u^14 + 2846*u^15 + 2097*u^16 - 1191*u^17 - 74*u^18 + 142*u^19 - 13*u^20 - 6*u^21 + u^22" ], "GeometricComponent":"{17, 18}", "uPolys_ij_N":[ "1 + 5*u + 8*u^2 + 12*u^3 - 19*u^4 - 46*u^5 + 13*u^6 + 6*u^7 + 13*u^8 + 81*u^9 - 28*u^10 - 78*u^11 + 4*u^12 - 5*u^13 + 30*u^14 + 54*u^15 - 37*u^16 - 41*u^17 + 22*u^18 + 14*u^19 - 7*u^20 - 2*u^21 + u^22", "1 + 9*u - 94*u^2 - 38*u^3 + 1639*u^4 + 3412*u^5 - 1377*u^6 - 10864*u^7 - 8873*u^8 + 9283*u^9 + 21920*u^10 + 11362*u^11 - 9472*u^12 - 17353*u^13 - 8884*u^14 + 2444*u^15 + 6833*u^16 + 5253*u^17 + 2426*u^18 + 742*u^19 + 149*u^20 + 18*u^21 + u^22", "1 + 9*u + 38*u^2 + 150*u^3 + 563*u^4 + 1720*u^5 + 4319*u^6 + 8356*u^7 + 12847*u^8 + 16275*u^9 + 17424*u^10 + 16510*u^11 + 13180*u^12 + 9823*u^13 + 6080*u^14 + 3612*u^15 + 1749*u^16 + 817*u^17 + 306*u^18 + 106*u^19 + 29*u^20 + 6*u^21 + u^22", "-937 - 9445*u - 12844*u^2 + 49792*u^3 + 88703*u^4 - 276756*u^5 - 1034361*u^6 - 1298034*u^7 - 553109*u^8 + 351219*u^9 + 496190*u^10 + 125894*u^11 - 106224*u^12 - 78671*u^13 - 4632*u^14 + 13586*u^15 + 4881*u^16 - 419*u^17 - 608*u^18 - 92*u^19 + 25*u^20 + 10*u^21 + u^22", "1089 - 4356*u - 61844*u^2 - 166971*u^3 - 133638*u^4 + 12765*u^5 - 87001*u^6 + 5558*u^7 + 1214405*u^8 + 2368390*u^9 + 1533958*u^10 - 111217*u^11 - 336919*u^12 + 118885*u^13 + 131712*u^14 + 1716*u^15 - 11429*u^16 + 2250*u^17 + 1078*u^18 - 171*u^19 - 40*u^20 + 7*u^21 + u^22", "1461188 + 5241492*u + 22489033*u^2 + 106768550*u^3 + 204870717*u^4 + 364449947*u^5 + 620834329*u^6 + 182971134*u^7 - 358031880*u^8 + 123392*u^9 + 74792593*u^10 - 7880080*u^11 - 6014121*u^12 + 794205*u^13 + 221350*u^14 + 20832*u^15 - 15880*u^16 + 770*u^17 - 289*u^18 + 78*u^19 - u^20 - 3*u^21 + u^22", "1 + 12776*u - 33312*u^2 + 41363*u^3 + 140744*u^4 - 352635*u^5 + 132915*u^6 + 117752*u^7 + 356863*u^8 - 1049508*u^9 + 1065006*u^10 - 519601*u^11 + 46305*u^12 + 134499*u^13 - 139500*u^14 + 90300*u^15 - 41375*u^16 + 12900*u^17 - 2436*u^18 + 167*u^19 + 38*u^20 - 11*u^21 + u^22", "1 + u - 4*u^2 - 2*u^3 + 9*u^4 - 10*u^5 - 47*u^6 - 4*u^7 + 69*u^8 + 17*u^9 - 86*u^10 - 62*u^11 + 34*u^12 + 25*u^13 - 38*u^14 - 38*u^15 + 7*u^16 + 15*u^17 - 2*u^18 - 8*u^19 - u^20 + 2*u^21 + u^22", "-847 - 2519*u + 10380*u^2 + 26432*u^3 - 48421*u^4 - 76566*u^5 + 160821*u^6 + 137240*u^7 - 276779*u^8 - 182261*u^9 + 255082*u^10 + 274708*u^11 + 24852*u^12 - 70755*u^13 - 25282*u^14 + 7062*u^15 + 4775*u^16 - 331*u^17 - 610*u^18 - 58*u^19 + 41*u^20 + 12*u^21 + u^22", "1 - 10*u + 54*u^2 - 75*u^3 - 892*u^4 + 1541*u^5 + 5213*u^6 + 7028*u^7 + 12931*u^8 + 12552*u^9 + 9844*u^10 + 7055*u^11 + 2371*u^12 + 2469*u^13 + 474*u^14 + 518*u^15 + 21*u^16 + 74*u^17 + 38*u^18 + 13*u^19 + 4*u^20 + 3*u^21 + u^22", "-9 + 104*u^2 + 77*u^3 - 432*u^4 - 897*u^5 - 519*u^6 + 294*u^7 + 871*u^8 + 1086*u^9 + 522*u^10 - 421*u^11 - 711*u^12 - 357*u^13 + 60*u^14 + 150*u^15 + 41*u^16 - 18*u^17 + 14*u^18 + 15*u^19 + 4*u^20 + u^21 + u^22", "49 + 299*u + 646*u^2 + 1206*u^3 + 2913*u^4 + 4064*u^5 + 4767*u^6 + 8828*u^7 + 6177*u^8 + 7897*u^9 + 8146*u^10 + 2686*u^11 + 5874*u^12 + 399*u^13 + 2082*u^14 + 146*u^15 + 383*u^16 + 193*u^17 - 14*u^18 + 36*u^19 + 3*u^20 + u^22", "1 - 53*u - 8*u^2 + 244*u^3 - 13*u^4 - 394*u^5 + 27*u^6 + 164*u^7 + 29*u^8 + 125*u^9 - 44*u^10 + 4*u^11 + 20*u^12 - 151*u^13 + 4*u^14 + 142*u^15 + 45*u^16 - 23*u^17 - 8*u^18 + 4*u^19 + 3*u^20 + 2*u^21 + u^22", "4 + 28*u + 65*u^2 + 76*u^3 + 127*u^4 + 183*u^5 - 17*u^6 - 274*u^7 - 332*u^8 - 228*u^9 + 213*u^10 + 544*u^11 + 171*u^12 - 297*u^13 - 244*u^14 + 12*u^15 + 102*u^16 + 48*u^17 - 13*u^18 - 20*u^19 - 3*u^20 + 3*u^21 + u^22", "1 + 120*u + 812*u^2 + 2947*u^3 + 7312*u^4 + 13633*u^5 + 20339*u^6 + 25232*u^7 + 26723*u^8 + 24784*u^9 + 20602*u^10 + 15695*u^11 + 11301*u^12 + 7843*u^13 + 5300*u^14 + 3420*u^15 + 2021*u^16 + 1056*u^17 + 464*u^18 + 167*u^19 + 46*u^20 + 9*u^21 + u^22", "496 - 1160*u + 1607*u^2 + 2318*u^3 - 9541*u^4 + 14521*u^5 - 5131*u^6 - 4574*u^7 + 10642*u^8 + 11894*u^9 + 37679*u^10 + 42144*u^11 + 30653*u^12 + 27173*u^13 + 18418*u^14 + 8778*u^15 + 3962*u^16 + 1482*u^17 + 435*u^18 + 132*u^19 + 29*u^20 + 5*u^21 + u^22", "1 - 12*u + 12*u^2 + 33*u^3 - 62*u^4 - 27*u^5 + 139*u^6 - 56*u^7 - 153*u^8 + 176*u^9 + 42*u^10 - 187*u^11 + 83*u^12 + 83*u^13 - 92*u^14 - 4*u^15 + 49*u^16 - 16*u^17 - 16*u^18 + 13*u^19 - 3*u^21 + u^22", "30649 + 134319*u + 354286*u^2 + 1057942*u^3 - 1621339*u^4 - 18349420*u^5 - 38458549*u^6 - 32380872*u^7 - 15242055*u^8 - 2882303*u^9 + 722374*u^10 + 1025838*u^11 + 643014*u^12 + 336423*u^13 + 145614*u^14 + 54992*u^15 + 18661*u^16 + 5769*u^17 + 1602*u^18 + 392*u^19 + 81*u^20 + 12*u^21 + u^22", "-7551 - 18795*u + 26326*u^2 + 107802*u^3 + 57419*u^4 - 38556*u^5 + 46925*u^6 + 346444*u^7 + 170249*u^8 - 312789*u^9 + 209284*u^10 + 228772*u^11 - 70356*u^12 - 64805*u^13 + 4862*u^14 + 6192*u^15 - 1223*u^16 - 375*u^17 + 228*u^18 + 40*u^19 - 5*u^20 + 2*u^21 + u^22", "7 - 9*u - 74*u^2 + 232*u^3 + 239*u^4 - 656*u^5 - 2019*u^6 + 1542*u^7 + 10173*u^8 + 3377*u^9 - 7708*u^10 - 3370*u^11 + 974*u^12 + 1489*u^13 + 1070*u^14 + 432*u^15 + 327*u^16 + 193*u^17 + 140*u^18 + 54*u^19 + 21*u^20 + 4*u^21 + u^22", "-1 - 13*u - 46*u^2 - 214*u^3 - 417*u^4 - 858*u^5 - 1449*u^6 - 1220*u^7 - 1911*u^8 - 579*u^9 - 1044*u^10 + 236*u^11 - 16*u^12 + 425*u^13 + 304*u^14 + 220*u^15 + 199*u^16 + 55*u^17 + 68*u^18 + 6*u^19 + 13*u^20 + u^22", "2694247 - 3728725*u + 1201874*u^2 + 5433834*u^3 - 9732531*u^4 + 3846342*u^5 - 3001251*u^6 - 1064174*u^7 + 585309*u^8 - 588243*u^9 + 241892*u^10 - 111172*u^11 + 45720*u^12 - 20333*u^13 + 2162*u^14 - 74*u^15 - 27*u^16 + 173*u^17 + 28*u^18 - 18*u^19 + 3*u^20 - 4*u^21 + u^22", "16 - 264*u + 985*u^2 + 350*u^3 - 1209*u^4 - 24847*u^5 + 49495*u^6 + 27984*u^7 - 164064*u^8 + 154252*u^9 + 39055*u^10 - 211778*u^11 + 219155*u^12 - 122443*u^13 + 38268*u^14 - 4668*u^15 - 148*u^16 - 888*u^17 + 917*u^18 - 406*u^19 + 103*u^20 - 15*u^21 + u^22", "9 + 66*u + 86*u^2 - 425*u^3 - 1036*u^4 + 751*u^5 + 3419*u^6 + 154*u^7 - 4969*u^8 - 84*u^9 + 7576*u^10 + 3921*u^11 - 3561*u^12 - 3723*u^13 - 474*u^14 + 752*u^15 + 457*u^16 + 60*u^17 - 78*u^18 - 43*u^19 + 5*u^21 + u^22", "1 - u - 2*u^2 + 36*u^3 - 23*u^4 - 254*u^5 - 325*u^6 + 702*u^7 + 1787*u^8 - 361*u^9 - 4116*u^10 - 1642*u^11 + 6042*u^12 + 3997*u^13 - 9644*u^14 + 2846*u^15 + 2097*u^16 - 1191*u^17 - 74*u^18 + 142*u^19 - 13*u^20 - 6*u^21 + u^22" ], "Multiplicity":1, "ij_list":[ [ "{1, 8}", "{1, 9}", "{2, 9}", "{2, 10}" ], [ "{1, 2}", "{8, 9}", "{9, 10}" ], [ "{1, 10}", "{2, 8}", "{3, 4}", "{3, 7}" ], [ "{8, 10}" ], [ "{4, 6}" ], [ "{3, 6}" ], [ "{6, 7}" ], [ "{1, 4}", "{3, 10}", "{4, 10}" ], [ "{1, 3}" ], [ "{1, 6}" ], [ "{1, 5}" ], [ "{2, 7}" ], [ "{1, 7}" ], [ "{2, 5}", "{2, 6}", "{3, 5}" ], [ "{4, 5}", "{6, 8}", "{7, 8}" ], [ "{7, 9}" ], [ "{4, 7}", "{5, 7}", "{5, 8}" ], [ "{3, 8}" ], [ "{3, 9}" ], [ "{5, 9}" ], [ "{5, 10}", "{6, 9}" ], [ "{6, 10}" ], [ "{2, 3}", "{4, 8}", "{5, 6}" ], [ "{7, 10}" ], [ "{2, 4}", "{4, 9}" ] ], "SortedReprnIndices":"{17, 18, 2, 1, 11, 12, 16, 15, 7, 8, 20, 19, 13, 14, 4, 3, 6, 5, 21, 9, 22, 10}", "aCuspShapeN":[ "-5.5673129125781216623`5.010813485281566 + 5.2899530928258268954`4.988619674698146*I", "-5.5673129125781216623`5.010813485281566 - 5.2899530928258268954`4.988619674698146*I", "-11.5610076405295484649`5.045190205088975 - 9.1342035128613540568`4.942865200475763*I", "-11.5610076405295484649`5.045190205088975 + 9.1342035128613540568`4.942865200475763*I", "-3.1797770304756080491`5.149776266628564 - 0.1856231772907071033`3.916011800960131*I", "-3.1797770304756080491`5.149776266628564 + 0.1856231772907071033`3.916011800960131*I", "-13.3144395556515947989`5.106269933799294 - 6.3295987823078601592`4.783323225416853*I", "-13.3144395556515947989`5.106269933799294 + 6.3295987823078601592`4.783323225416853*I", -1.65e1, -8.7483, "-6.9023985422216443064`5.06407892394584 - 4.8263646035033642574`4.9086990194556765*I", "-6.9023985422216443064`5.06407892394584 + 4.8263646035033642574`4.9086990194556765*I", "-7.0616833877970321902`5.129919472192896 - 2.2273920889339312379`4.628807903059077*I", "-7.0616833877970321902`5.129919472192896 + 2.2273920889339312379`4.628807903059077*I", "-7.6614228750799134099`5.101052646181825 + 3.874985429087204901`4.8050132859251224*I", "-7.6614228750799134099`5.101052646181825 - 3.874985429087204901`4.8050132859251224*I", "-9.4150683638917299501`5.054461666770904 - 7.0225796513534091565`4.927134862691882*I", "-9.4150683638917299501`5.054461666770904 + 7.0225796513534091565`4.927134862691882*I", "-6.3844063015840349327`5.052049226065004 + 4.8358865889822324532`4.931404815731751*I", "-6.3844063015840349327`5.052049226065004 - 4.8358865889822324532`4.931404815731751*I", 0.70793, 0.63513 ], "Abelian":false }, { "IdealName":"J10_149_1", "Generators":[ "1 + b", "-1 + a - u", "-1 + u + u^2" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.8240999999999994e-2, "TimingZeroDimVars":7.539799999999999e-2, "TimingmagmaVCompNormalize":7.6799e-2, "TimingNumberOfSols":3.7175e-2, "TimingIsRadical":2.211e-3, "TimingArcColoring":7.6543e-2, "TimingObstruction":9.36e-4, "TimingComplexVolumeN":1.756617, "TimingaCuspShapeN":7.633e-3, "TiminguValues":0.634488, "TiminguPolysN":3.02e-4, "TiminguPolys":0.810263, "TimingaCuspShape":0.105705, "TimingRepresentationsN":3.6844e-2, "TiminguValues_ij":0.169786, "TiminguPolys_ij_N":4.51e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ 0, "u" ], [ "-u", "1 - u" ], [ "-u", "1 - u" ], "{-1, 0}", [ "1 + u", -1 ], [ "1 + u", -1 ], [ "2 + u", -1 ], "{1, 0}", [ 1, "1 - u" ], [ "u", "u" ] ], "Obstruction":1, "ComplexVolumeN":[ -2.63189, -1.05276e1 ], "uPolysN":[ "-1 - u + u^2", "u^2", "-1 - u + u^2", "1 - 2*u + u^2", "u^2", "1 - 2*u + u^2", "1 + 2*u + u^2", "-1 + u + u^2", "-1 + u + u^2", "-1 + u + u^2" ], "uPolys":[ "-1 - u + u^2", "u^2", "-1 - u + u^2", "(-1 + u)^2", "u^2", "(-1 + u)^2", "(1 + u)^2", "-1 + u + u^2", "-1 + u + u^2", "-1 + u + u^2" ], "aCuspShape":-21, "RepresentationsN":[ [ "u->0.618034", "a->1.61803", "b->-1." ], [ "u->-1.61803", "a->-0.618034", "b->-1." ] ], "Epsilon":3.16228, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "4 - 4*u + u^2", "-1 + u + u^2", "1 - 3*u + u^2", "1 + 3*u + u^2", "-1 - u + u^2", "-1 + u + u^2", "-1 - u + u^2", "-5 + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 5}", "{1, 6}" ], [ "{2, 3}", "{2, 5}", "{2, 6}", "{3, 5}", "{3, 6}", "{4, 8}", "{5, 6}" ], [ "{4, 5}", "{4, 6}", "{4, 7}", "{5, 7}", "{5, 8}", "{6, 7}", "{6, 8}", "{7, 8}" ], [ "{7, 9}" ], [ "{1, 7}" ], [ "{1, 2}", "{1, 3}", "{2, 4}", "{3, 4}", "{8, 9}", "{9, 10}" ], [ "{1, 10}", "{2, 7}", "{2, 8}", "{3, 7}", "{3, 8}", "{4, 9}" ], [ "{1, 8}", "{1, 9}", "{2, 9}", "{2, 10}", "{3, 9}", "{3, 10}", "{4, 10}" ], [ "{1, 4}", "{8, 10}" ], [ "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}" ], [ "{7, 10}" ] ], "SortedReprnIndices":"{2, 1}", "aCuspShapeN":[ -2.1e1, -2.1e1 ], "Abelian":false }, { "IdealName":"abJ10_149_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":5.5763999999999994e-2, "TimingZeroDimVars":7.2181e-2, "TimingmagmaVCompNormalize":7.3272e-2, "TimingNumberOfSols":3.2917e-2, "TimingIsRadical":2.16e-3, "TimingArcColoring":7.588199999999999e-2, "TimingObstruction":3.8500000000000003e-4, "TimingComplexVolumeN":0.408756, "TimingaCuspShapeN":4.1550000000000024e-3, "TiminguValues":0.620778, "TiminguPolysN":6.900000000000002e-5, "TiminguPolys":0.806523, "TimingaCuspShape":8.4894e-2, "TimingRepresentationsN":2.9186999999999998e-2, "TiminguValues_ij":0.164207, "TiminguPoly_ij":0.169504, "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 + u^2)*(1 + 5*u + 8*u^2 + 12*u^3 - 19*u^4 - 46*u^5 + 13*u^6 + 6*u^7 + 13*u^8 + 81*u^9 - 28*u^10 - 78*u^11 + 4*u^12 - 5*u^13 + 30*u^14 + 54*u^15 - 37*u^16 - 41*u^17 + 22*u^18 + 14*u^19 - 7*u^20 - 2*u^21 + u^22)", "u^2*(4 + 28*u + 65*u^2 + 76*u^3 + 127*u^4 + 183*u^5 - 17*u^6 - 274*u^7 - 332*u^8 - 228*u^9 + 213*u^10 + 544*u^11 + 171*u^12 - 297*u^13 - 244*u^14 + 12*u^15 + 102*u^16 + 48*u^17 - 13*u^18 - 20*u^19 - 3*u^20 + 3*u^21 + u^22)", "(-1 - u + u^2)*(1 + u - 4*u^2 - 2*u^3 + 9*u^4 - 10*u^5 - 47*u^6 - 4*u^7 + 69*u^8 + 17*u^9 - 86*u^10 - 62*u^11 + 34*u^12 + 25*u^13 - 38*u^14 - 38*u^15 + 7*u^16 + 15*u^17 - 2*u^18 - 8*u^19 - u^20 + 2*u^21 + u^22)", "(-1 + u)^2*(1 - 12*u + 12*u^2 + 33*u^3 - 62*u^4 - 27*u^5 + 139*u^6 - 56*u^7 - 153*u^8 + 176*u^9 + 42*u^10 - 187*u^11 + 83*u^12 + 83*u^13 - 92*u^14 - 4*u^15 + 49*u^16 - 16*u^17 - 16*u^18 + 13*u^19 - 3*u^21 + u^22)", "u^2*(4 + 28*u + 65*u^2 + 76*u^3 + 127*u^4 + 183*u^5 - 17*u^6 - 274*u^7 - 332*u^8 - 228*u^9 + 213*u^10 + 544*u^11 + 171*u^12 - 297*u^13 - 244*u^14 + 12*u^15 + 102*u^16 + 48*u^17 - 13*u^18 - 20*u^19 - 3*u^20 + 3*u^21 + u^22)", "(-1 + u)^2*(1 + 120*u + 812*u^2 + 2947*u^3 + 7312*u^4 + 13633*u^5 + 20339*u^6 + 25232*u^7 + 26723*u^8 + 24784*u^9 + 20602*u^10 + 15695*u^11 + 11301*u^12 + 7843*u^13 + 5300*u^14 + 3420*u^15 + 2021*u^16 + 1056*u^17 + 464*u^18 + 167*u^19 + 46*u^20 + 9*u^21 + u^22)", "(1 + u)^2*(1 - 12*u + 12*u^2 + 33*u^3 - 62*u^4 - 27*u^5 + 139*u^6 - 56*u^7 - 153*u^8 + 176*u^9 + 42*u^10 - 187*u^11 + 83*u^12 + 83*u^13 - 92*u^14 - 4*u^15 + 49*u^16 - 16*u^17 - 16*u^18 + 13*u^19 - 3*u^21 + u^22)", "(-1 + u + u^2)*(1 + 5*u + 8*u^2 + 12*u^3 - 19*u^4 - 46*u^5 + 13*u^6 + 6*u^7 + 13*u^8 + 81*u^9 - 28*u^10 - 78*u^11 + 4*u^12 - 5*u^13 + 30*u^14 + 54*u^15 - 37*u^16 - 41*u^17 + 22*u^18 + 14*u^19 - 7*u^20 - 2*u^21 + u^22)", "(-1 + u + u^2)*(1 + 5*u + 8*u^2 + 12*u^3 - 19*u^4 - 46*u^5 + 13*u^6 + 6*u^7 + 13*u^8 + 81*u^9 - 28*u^10 - 78*u^11 + 4*u^12 - 5*u^13 + 30*u^14 + 54*u^15 - 37*u^16 - 41*u^17 + 22*u^18 + 14*u^19 - 7*u^20 - 2*u^21 + u^22)", "(-1 + u + u^2)*(1 + u - 4*u^2 - 2*u^3 + 9*u^4 - 10*u^5 - 47*u^6 - 4*u^7 + 69*u^8 + 17*u^9 - 86*u^10 - 62*u^11 + 34*u^12 + 25*u^13 - 38*u^14 - 38*u^15 + 7*u^16 + 15*u^17 - 2*u^18 - 8*u^19 - u^20 + 2*u^21 + u^22)" ], "RileyPolyC":[ "(1 - 3*y + y^2)*(1 - 9*y - 94*y^2 + 38*y^3 + 1639*y^4 - 3412*y^5 - 1377*y^6 + 10864*y^7 - 8873*y^8 - 9283*y^9 + 21920*y^10 - 11362*y^11 - 9472*y^12 + 17353*y^13 - 8884*y^14 - 2444*y^15 + 6833*y^16 - 5253*y^17 + 2426*y^18 - 742*y^19 + 149*y^20 - 18*y^21 + y^22)", "y^2*(16 - 264*y + 985*y^2 + 350*y^3 - 1209*y^4 - 24847*y^5 + 49495*y^6 + 27984*y^7 - 164064*y^8 + 154252*y^9 + 39055*y^10 - 211778*y^11 + 219155*y^12 - 122443*y^13 + 38268*y^14 - 4668*y^15 - 148*y^16 - 888*y^17 + 917*y^18 - 406*y^19 + 103*y^20 - 15*y^21 + y^22)", "(1 - 3*y + y^2)*(1 - 9*y + 38*y^2 - 150*y^3 + 563*y^4 - 1720*y^5 + 4319*y^6 - 8356*y^7 + 12847*y^8 - 16275*y^9 + 17424*y^10 - 16510*y^11 + 13180*y^12 - 9823*y^13 + 6080*y^14 - 3612*y^15 + 1749*y^16 - 817*y^17 + 306*y^18 - 106*y^19 + 29*y^20 - 6*y^21 + y^22)", "(-1 + y)^2*(1 - 120*y + 812*y^2 - 2947*y^3 + 7312*y^4 - 13633*y^5 + 20339*y^6 - 25232*y^7 + 26723*y^8 - 24784*y^9 + 20602*y^10 - 15695*y^11 + 11301*y^12 - 7843*y^13 + 5300*y^14 - 3420*y^15 + 2021*y^16 - 1056*y^17 + 464*y^18 - 167*y^19 + 46*y^20 - 9*y^21 + y^22)", "y^2*(16 - 264*y + 985*y^2 + 350*y^3 - 1209*y^4 - 24847*y^5 + 49495*y^6 + 27984*y^7 - 164064*y^8 + 154252*y^9 + 39055*y^10 - 211778*y^11 + 219155*y^12 - 122443*y^13 + 38268*y^14 - 4668*y^15 - 148*y^16 - 888*y^17 + 917*y^18 - 406*y^19 + 103*y^20 - 15*y^21 + y^22)", "(-1 + y)^2*(1 - 12776*y - 33312*y^2 - 41363*y^3 + 140744*y^4 + 352635*y^5 + 132915*y^6 - 117752*y^7 + 356863*y^8 + 1049508*y^9 + 1065006*y^10 + 519601*y^11 + 46305*y^12 - 134499*y^13 - 139500*y^14 - 90300*y^15 - 41375*y^16 - 12900*y^17 - 2436*y^18 - 167*y^19 + 38*y^20 + 11*y^21 + y^22)", "(-1 + y)^2*(1 - 120*y + 812*y^2 - 2947*y^3 + 7312*y^4 - 13633*y^5 + 20339*y^6 - 25232*y^7 + 26723*y^8 - 24784*y^9 + 20602*y^10 - 15695*y^11 + 11301*y^12 - 7843*y^13 + 5300*y^14 - 3420*y^15 + 2021*y^16 - 1056*y^17 + 464*y^18 - 167*y^19 + 46*y^20 - 9*y^21 + y^22)", "(1 - 3*y + y^2)*(1 - 9*y - 94*y^2 + 38*y^3 + 1639*y^4 - 3412*y^5 - 1377*y^6 + 10864*y^7 - 8873*y^8 - 9283*y^9 + 21920*y^10 - 11362*y^11 - 9472*y^12 + 17353*y^13 - 8884*y^14 - 2444*y^15 + 6833*y^16 - 5253*y^17 + 2426*y^18 - 742*y^19 + 149*y^20 - 18*y^21 + y^22)", "(1 - 3*y + y^2)*(1 - 9*y - 94*y^2 + 38*y^3 + 1639*y^4 - 3412*y^5 - 1377*y^6 + 10864*y^7 - 8873*y^8 - 9283*y^9 + 21920*y^10 - 11362*y^11 - 9472*y^12 + 17353*y^13 - 8884*y^14 - 2444*y^15 + 6833*y^16 - 5253*y^17 + 2426*y^18 - 742*y^19 + 149*y^20 - 18*y^21 + y^22)", "(1 - 3*y + y^2)*(1 - 9*y + 38*y^2 - 150*y^3 + 563*y^4 - 1720*y^5 + 4319*y^6 - 8356*y^7 + 12847*y^8 - 16275*y^9 + 17424*y^10 - 16510*y^11 + 13180*y^12 - 9823*y^13 + 6080*y^14 - 3612*y^15 + 1749*y^16 - 817*y^17 + 306*y^18 - 106*y^19 + 29*y^20 - 6*y^21 + y^22)" ] }, "GeometricRepresentation":[ 1.1442699999999999e1, [ "J10_149_0", 1, "{17, 18}" ] ] } }