{ "Index":197, "Name":"10_113", "RolfsenName":"10_113", "DTname":"10a_36", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{7, 13, -11, 15, 1, -19, 17, 9, 3, -5}", "Acode":"{4, 7, -6, 8, 1, -10, 9, 5, 2, -3}", "PDcode":[ "{2, 8, 3, 7}", "{4, 14, 5, 13}", "{6, 11, 7, 12}", "{8, 16, 9, 15}", "{10, 2, 11, 1}", "{12, 19, 13, 20}", "{14, 18, 15, 17}", "{16, 10, 17, 9}", "{18, 4, 19, 3}", "{20, 5, 1, 6}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{10, 3, 7}", [], [ "{10, -3, 1, 1}", "{3, 7, 2, 2}", "{7, -10, 6, 2}", "{3, -6, 4, 1}", "{6, 1, 5, 2}", "{10, 2, 9, 2}", "{9, 5, 8, 2}" ], "{1, 7}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a^2*u + a^2*u^2 - 2*a*b*u^2 + a^3*b*u^2 + b^2*u^2 - 3*a^2*b^2*u^2 + 3*a*b^3*u^2 - b^4*u^2 + a^4*u^4 - 4*a^3*b*u^4 + 6*a^2*b^2*u^4 - 4*a*b^3*u^4 + b^4*u^4", "-u - a*b*u + 2*a*b*u^2 - 2*b^2*u^2 + a^2*b^2*u^2 - 2*a*b^3*u^2 + b^4*u^2 + a^2*u^4 - 2*a*b*u^4 + a^3*b*u^4 + b^2*u^4 - 3*a^2*b^2*u^4 + 3*a*b^3*u^4 - 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67*u^4 - 16*a*u^4 - 19*u^5 - 50*a*u^5 + 135*u^6 - 24*a*u^6 + 209*u^7 + 68*a*u^7 + 34*u^8 + 114*a*u^8 - 258*u^9 + 31*a*u^9 - 347*u^10 - 104*a*u^10 - 126*u^11 - 143*a*u^11 + 185*u^12 - 55*a*u^12 + 329*u^13 + 56*a*u^13 + 271*u^14 + 97*a*u^14 + 141*u^15 + 71*a*u^15 + 48*u^16 + 31*a*u^16 + 10*u^17 + 8*a*u^17 + u^18 + a*u^18", "-13 - 18*a + 4*a^2 - 11*u - 42*a*u + 71*u^2 + 50*a*u^2 + 120*u^3 + 224*a*u^3 - 50*u^4 + 124*a*u^4 - 310*u^5 - 396*a*u^5 - 232*u^6 - 704*a*u^6 + 256*u^7 - 136*a*u^7 + 581*u^8 + 850*a*u^8 + 275*u^9 + 1090*a*u^9 - 345*u^10 + 258*a*u^10 - 596*u^11 - 744*a*u^11 - 303*u^12 - 1030*a*u^12 + 123*u^13 - 654*a*u^13 + 300*u^14 - 196*a*u^14 + 228*u^15 + 16*a*u^15 + 99*u^16 + 38*a*u^16 + 25*u^17 + 14*a*u^17 + 3*u^18 + 2*a*u^18", "-2 - u + 9*u^2 + 21*u^3 - 4*u^4 - 66*u^5 - 74*u^6 + 44*u^7 + 182*u^8 + 145*u^9 - 73*u^10 - 247*u^11 - 198*u^12 + u^13 + 153*u^14 + 168*u^15 + 102*u^16 + 39*u^17 + 9*u^18 + u^19" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.113195, "TimingZeroDimVars":0.113297, "TimingmagmaVCompNormalize":0.114579, "TimingNumberOfSols":0.276704, "TimingIsRadical":4.6063e-2, "TimingArcColoring":0.109483, "TimingObstruction":0.189015, "TimingComplexVolumeN":3.0553372e1, "TimingaCuspShapeN":0.320664, "TiminguValues":0.733431, "TiminguPolysN":0.154998, "TiminguPolys":6.797493, "TimingaCuspShape":0.494274, "TimingRepresentationsN":0.325694, "TiminguValues_ij":0.311515, "TiminguPolys_ij_N":0.47406 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":38, "IsRadical":true, "ArcColoring":[ [ 1, "-u^2" ], [ "(-3 - 2*a + 5*u + 8*a*u + 19*u^2 + 30*a*u^2 - 4*u^3 - 4*a*u^3 - 66*u^4 - 116*a*u^4 - 74*u^5 - 128*a*u^5 + 44*u^6 + 124*a*u^6 + 182*u^7 + 396*a*u^7 + 145*u^8 + 250*a*u^8 - 73*u^9 - 280*a*u^9 - 247*u^10 - 618*a*u^10 - 198*u^11 - 376*a*u^11 + u^12 + 174*a*u^12 + 153*u^13 + 516*a*u^13 + 168*u^14 + 480*a*u^14 + 102*u^15 + 266*a*u^15 + 39*u^16 + 94*a*u^16 + 9*u^17 + 20*a*u^17 + u^18 + 2*a*u^18)\/2", "-1 - 2*a - 3*a*u + 8*u^2 + 7*a*u^2 + 12*u^3 + 23*a*u^3 - 16*u^4 + 9*a*u^4 - 50*u^5 - 45*a*u^5 - 24*u^6 - 73*a*u^6 + 68*u^7 - 11*a*u^7 + 114*u^8 + 91*a*u^8 + 31*u^9 + 118*a*u^9 - 104*u^10 + 38*a*u^10 - 143*u^11 - 62*a*u^11 - 55*u^12 - 98*a*u^12 + 56*u^13 - 71*a*u^13 + 97*u^14 - 31*a*u^14 + 71*u^15 - 8*a*u^15 + 31*u^16 - a*u^16 + 8*u^17 + u^18" ], [ 0, "u" ], [ "(1 + 2*a + 9*u + 14*a*u + 3*u^2 + 16*a*u^2 - 28*u^3 - 50*a*u^3 - 34*u^4 - 134*a*u^4 + 26*u^5 - 38*a*u^5 + 92*u^6 + 270*a*u^6 + 46*u^7 + 418*a*u^7 - 83*u^8 + 68*a*u^8 - 135*u^9 - 516*a*u^9 - 39*u^10 - 694*a*u^10 + 88*u^11 - 252*a*u^11 + 111*u^12 + 370*a*u^12 + 41*u^13 + 658*a*u^13 - 26*u^14 + 542*a*u^14 - 40*u^15 + 282*a*u^15 - 23*u^16 + 96*a*u^16 - 7*u^17 + 20*a*u^17 - u^18 + 2*a*u^18)\/2", -1 ], [ "2 - a + 3*u + a*u - 7*u^2 + 9*a*u^2 - 23*u^3 + 12*a*u^3 - 9*u^4 - 16*a*u^4 + 45*u^5 - 50*a*u^5 + 73*u^6 - 24*a*u^6 + 11*u^7 + 68*a*u^7 - 91*u^8 + 114*a*u^8 - 118*u^9 + 31*a*u^9 - 38*u^10 - 104*a*u^10 + 62*u^11 - 143*a*u^11 + 98*u^12 - 55*a*u^12 + 71*u^13 + 56*a*u^13 + 31*u^14 + 97*a*u^14 + 8*u^15 + 71*a*u^15 + u^16 + 31*a*u^16 + 8*a*u^17 + a*u^18", "1 + 2*a - 4*u - 17*u^2 - 9*a*u^2 - u^3 - 13*a*u^3 + 65*u^4 + 16*a*u^4 + 87*u^5 + 50*a*u^5 - 53*u^6 + 24*a*u^6 - 243*u^7 - 68*a*u^7 - 198*u^8 - 114*a*u^8 + 129*u^9 - 31*a*u^9 + 400*u^10 + 104*a*u^10 + 306*u^11 + 143*a*u^11 - 49*u^12 + 55*a*u^12 - 320*u^13 - 56*a*u^13 - 338*u^14 - 97*a*u^14 - 204*u^15 - 71*a*u^15 - 78*u^16 - 31*a*u^16 - 18*u^17 - 8*a*u^17 - 2*u^18 - a*u^18" ], [ "1 - a + 7*u + 8*u^2 + 9*a*u^2 - 25*u^3 + 12*a*u^3 - 67*u^4 - 16*a*u^4 - 19*u^5 - 50*a*u^5 + 135*u^6 - 24*a*u^6 + 209*u^7 + 68*a*u^7 + 34*u^8 + 114*a*u^8 - 258*u^9 + 31*a*u^9 - 347*u^10 - 104*a*u^10 - 126*u^11 - 143*a*u^11 + 185*u^12 - 55*a*u^12 + 329*u^13 + 56*a*u^13 + 271*u^14 + 97*a*u^14 + 141*u^15 + 71*a*u^15 + 48*u^16 + 31*a*u^16 + 10*u^17 + 8*a*u^17 + u^18 + a*u^18", "-1 + 2*a - 7*u - 8*u^2 - 9*a*u^2 + 25*u^3 - 12*a*u^3 + 67*u^4 + 16*a*u^4 + 19*u^5 + 50*a*u^5 - 135*u^6 + 24*a*u^6 - 209*u^7 - 68*a*u^7 - 34*u^8 - 114*a*u^8 + 258*u^9 - 31*a*u^9 + 347*u^10 + 104*a*u^10 + 126*u^11 + 143*a*u^11 - 185*u^12 + 55*a*u^12 - 329*u^13 - 56*a*u^13 - 271*u^14 - 97*a*u^14 - 141*u^15 - 71*a*u^15 - 48*u^16 - 31*a*u^16 - 10*u^17 - 8*a*u^17 - u^18 - a*u^18" ], [ "a", "-1 + 2*a - 7*u - 8*u^2 - 9*a*u^2 + 25*u^3 - 12*a*u^3 + 67*u^4 + 16*a*u^4 + 19*u^5 + 50*a*u^5 - 135*u^6 + 24*a*u^6 - 209*u^7 - 68*a*u^7 - 34*u^8 - 114*a*u^8 + 258*u^9 - 31*a*u^9 + 347*u^10 + 104*a*u^10 + 126*u^11 + 143*a*u^11 - 185*u^12 + 55*a*u^12 - 329*u^13 - 56*a*u^13 - 271*u^14 - 97*a*u^14 - 141*u^15 - 71*a*u^15 - 48*u^16 - 31*a*u^16 - 10*u^17 - 8*a*u^17 - u^18 - a*u^18" ], [ "(1 + 4*a + 11*u + 10*a*u + 3*u^2 + 12*a*u^2 - 34*u^3 - 36*a*u^3 - 44*u^4 - 90*a*u^4 + 28*u^5 - 34*a*u^5 + 106*u^6 + 144*a*u^6 + 62*u^7 + 230*a*u^7 - 75*u^8 + 62*a*u^8 - 133*u^9 - 208*a*u^9 - 39*u^10 - 286*a*u^10 + 88*u^11 - 110*a*u^11 + 111*u^12 + 112*a*u^12 + 41*u^13 + 194*a*u^13 - 26*u^14 + 142*a*u^14 - 40*u^15 + 62*a*u^15 - 23*u^16 + 16*a*u^16 - 7*u^17 + 2*a*u^17 - u^18)\/2", "-2 - 3*u + a*u - 5*u^2 - a*u^2 + 12*u^3 - a*u^3 + 38*u^4 - a*u^4 + 20*u^5 + 2*a*u^5 - 60*u^6 + 2*a*u^6 - 108*u^7 + a*u^7 - 34*u^8 + 97*u^9 + 139*u^10 + 54*u^11 - 56*u^12 - 97*u^13 - 71*u^14 - 31*u^15 - 8*u^16 - u^17" ], [ "(1 - 2*a + 7*u + 3*u^2 + 14*a*u^2 - 28*u^3 + 18*a*u^3 - 34*u^4 - 10*a*u^4 + 26*u^5 - 46*a*u^5 + 92*u^6 - 38*a*u^6 + 46*u^7 + 14*a*u^7 - 83*u^8 + 60*a*u^8 - 135*u^9 + 62*a*u^9 - 39*u^10 + 36*a*u^10 + 88*u^11 + 12*a*u^11 + 111*u^12 + 2*a*u^12 + 41*u^13 - 26*u^14 - 40*u^15 - 23*u^16 - 7*u^17 - u^18)\/2", "-3 + u + 11*u^2 - 2*a*u^2 + 14*u^3 - 3*a*u^3 - 16*u^4 + 7*a*u^4 - 50*u^5 + 23*a*u^5 - 24*u^6 + 9*a*u^6 + 68*u^7 - 45*a*u^7 + 114*u^8 - 73*a*u^8 + 31*u^9 - 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276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38", "1 - 8*u + 28*u^2 - 46*u^3 + 144*u^5 - 211*u^6 - 104*u^7 + 622*u^8 - 412*u^9 - 868*u^10 + 1508*u^11 + 302*u^12 - 2612*u^13 + 1320*u^14 + 2754*u^15 - 3333*u^16 - 1422*u^17 + 4504*u^18 - 810*u^19 - 4034*u^20 + 2636*u^21 + 2297*u^22 - 3122*u^23 - 433*u^24 + 2374*u^25 - 638*u^26 - 1204*u^27 + 795*u^28 + 344*u^29 - 492*u^30 + 14*u^31 + 185*u^32 - 62*u^33 - 36*u^34 + 26*u^35 - 4*u^37 + u^38", "11 + 109*u - 65*u^2 + 1277*u^3 - 1590*u^4 + 6524*u^5 - 8163*u^6 + 18650*u^7 - 20908*u^8 + 32690*u^9 - 32158*u^10 + 36280*u^11 - 31196*u^12 + 24062*u^13 - 17074*u^14 + 5456*u^15 - 198*u^16 - 6045*u^17 + 8542*u^18 - 7478*u^19 + 7881*u^20 - 4457*u^21 + 3998*u^22 - 1695*u^23 + 1127*u^24 - 626*u^25 + 65*u^26 - 183*u^27 - 20*u^28 + 13*u^29 + 15*u^30 + 17*u^31 + 35*u^32 + 26*u^33 + 15*u^34 + 3*u^35 + 4*u^36 + 2*u^37 + u^38", "1 + 7*u + 27*u^2 + 71*u^3 + 170*u^4 + 296*u^5 + 443*u^6 + 562*u^7 + 702*u^8 + 758*u^9 + 702*u^10 + 766*u^11 + 1014*u^12 + 1052*u^13 + 844*u^14 + 968*u^15 + 1228*u^16 + 817*u^17 + 302*u^18 + 854*u^19 + 1283*u^20 + 435*u^21 - 276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38", "1 + 8*u + 48*u^2 + 234*u^3 + 1012*u^4 + 3800*u^5 + 12693*u^6 + 38148*u^7 + 104194*u^8 + 258084*u^9 + 578588*u^10 + 1173304*u^11 + 2157662*u^12 + 3614056*u^13 + 5543332*u^14 + 7828322*u^15 + 10229371*u^16 + 12420442*u^17 + 14059460*u^18 + 14872530*u^19 + 14725214*u^20 + 13656608*u^21 + 11864869*u^22 + 9650354*u^23 + 7337759*u^24 + 5203718*u^25 + 3430354*u^26 + 2092580*u^27 + 1174431*u^28 + 602048*u^29 + 279392*u^30 + 116086*u^31 + 42589*u^32 + 13550*u^33 + 3648*u^34 + 802*u^35 + 136*u^36 + 16*u^37 + u^38", "1 - 8*u + 28*u^2 - 46*u^3 + 144*u^5 - 211*u^6 - 104*u^7 + 622*u^8 - 412*u^9 - 868*u^10 + 1508*u^11 + 302*u^12 - 2612*u^13 + 1320*u^14 + 2754*u^15 - 3333*u^16 - 1422*u^17 + 4504*u^18 - 810*u^19 - 4034*u^20 + 2636*u^21 + 2297*u^22 - 3122*u^23 - 433*u^24 + 2374*u^25 - 638*u^26 - 1204*u^27 + 795*u^28 + 344*u^29 - 492*u^30 + 14*u^31 + 185*u^32 - 62*u^33 - 36*u^34 + 26*u^35 - 4*u^37 + u^38", "-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38", "4 - 4*u - 35*u^2 + 102*u^3 + 55*u^4 - 650*u^5 + 797*u^6 + 1384*u^7 - 4904*u^8 + 2732*u^9 + 10074*u^10 - 20804*u^11 + 4274*u^12 + 38816*u^13 - 58108*u^14 + 3108*u^15 + 92928*u^16 - 118130*u^17 + 9443*u^18 + 145226*u^19 - 182123*u^20 + 45774*u^21 + 140409*u^22 - 205196*u^23 + 104188*u^24 + 56086*u^25 - 143797*u^26 + 119330*u^27 - 36937*u^28 - 31576*u^29 + 55456*u^30 - 45828*u^31 + 26264*u^32 - 11286*u^33 + 3693*u^34 - 906*u^35 + 159*u^36 - 18*u^37 + u^38" ], "uPolys":[ "-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38", "11 + 109*u - 65*u^2 + 1277*u^3 - 1590*u^4 + 6524*u^5 - 8163*u^6 + 18650*u^7 - 20908*u^8 + 32690*u^9 - 32158*u^10 + 36280*u^11 - 31196*u^12 + 24062*u^13 - 17074*u^14 + 5456*u^15 - 198*u^16 - 6045*u^17 + 8542*u^18 - 7478*u^19 + 7881*u^20 - 4457*u^21 + 3998*u^22 - 1695*u^23 + 1127*u^24 - 626*u^25 + 65*u^26 - 183*u^27 - 20*u^28 + 13*u^29 + 15*u^30 + 17*u^31 + 35*u^32 + 26*u^33 + 15*u^34 + 3*u^35 + 4*u^36 + 2*u^37 + u^38", "1 + 7*u + 27*u^2 + 71*u^3 + 170*u^4 + 296*u^5 + 443*u^6 + 562*u^7 + 702*u^8 + 758*u^9 + 702*u^10 + 766*u^11 + 1014*u^12 + 1052*u^13 + 844*u^14 + 968*u^15 + 1228*u^16 + 817*u^17 + 302*u^18 + 854*u^19 + 1283*u^20 + 435*u^21 - 276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38", "(1 - 4*u + 6*u^2 + u^3 - 14*u^4 + 10*u^5 + 18*u^6 - 26*u^7 - 9*u^8 + 36*u^9 - 8*u^10 - 29*u^11 + 19*u^12 + 14*u^13 - 17*u^14 - 2*u^15 + 9*u^16 - 2*u^17 - 2*u^18 + u^19)^2", "11 + 109*u - 65*u^2 + 1277*u^3 - 1590*u^4 + 6524*u^5 - 8163*u^6 + 18650*u^7 - 20908*u^8 + 32690*u^9 - 32158*u^10 + 36280*u^11 - 31196*u^12 + 24062*u^13 - 17074*u^14 + 5456*u^15 - 198*u^16 - 6045*u^17 + 8542*u^18 - 7478*u^19 + 7881*u^20 - 4457*u^21 + 3998*u^22 - 1695*u^23 + 1127*u^24 - 626*u^25 + 65*u^26 - 183*u^27 - 20*u^28 + 13*u^29 + 15*u^30 + 17*u^31 + 35*u^32 + 26*u^33 + 15*u^34 + 3*u^35 + 4*u^36 + 2*u^37 + u^38", "1 + 7*u + 27*u^2 + 71*u^3 + 170*u^4 + 296*u^5 + 443*u^6 + 562*u^7 + 702*u^8 + 758*u^9 + 702*u^10 + 766*u^11 + 1014*u^12 + 1052*u^13 + 844*u^14 + 968*u^15 + 1228*u^16 + 817*u^17 + 302*u^18 + 854*u^19 + 1283*u^20 + 435*u^21 - 276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38", "(1 + 4*u + 16*u^2 + 53*u^3 + 166*u^4 + 388*u^5 + 734*u^6 + 1132*u^7 + 1483*u^8 + 1688*u^9 + 1702*u^10 + 1533*u^11 + 1231*u^12 + 870*u^13 + 531*u^14 + 272*u^15 + 113*u^16 + 36*u^17 + 8*u^18 + u^19)^2", "(1 - 4*u + 6*u^2 + u^3 - 14*u^4 + 10*u^5 + 18*u^6 - 26*u^7 - 9*u^8 + 36*u^9 - 8*u^10 - 29*u^11 + 19*u^12 + 14*u^13 - 17*u^14 - 2*u^15 + 9*u^16 - 2*u^17 - 2*u^18 + u^19)^2", "-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38", "(2 - u - 9*u^2 + 21*u^3 + 4*u^4 - 66*u^5 + 74*u^6 + 44*u^7 - 182*u^8 + 145*u^9 + 73*u^10 - 247*u^11 + 198*u^12 + u^13 - 153*u^14 + 168*u^15 - 102*u^16 + 39*u^17 - 9*u^18 + u^19)^2" ], "aCuspShape":"9 + 25*u - 41*u^2 - 104*u^3 + 34*u^4 + 274*u^5 + 164*u^6 - 368*u^7 - 627*u^8 - 101*u^9 + 687*u^10 + 824*u^11 + 209*u^12 - 457*u^13 - 640*u^14 - 432*u^15 - 177*u^16 - 43*u^17 - 5*u^18", "RepresentationsN":[ [ "u->-0.488744 + 1.03828 I", "a->-0.47882 + 0.914222 I", "b->-1.13156 + 1.02165 I" ], [ "u->-0.488744 + 1.03828 I", "a->-1.01797 - 1.24322 I", "b->0.207487 - 0.730234 I" ], [ "u->-0.488744 - 1.03828 I", "a->-0.47882 - 0.914222 I", "b->-1.13156 - 1.02165 I" ], [ "u->-0.488744 - 1.03828 I", "a->-1.01797 + 1.24322 I", "b->0.207487 + 0.730234 I" ], [ "u->-0.752606 + 0.874521 I", "a->0.794589 + 0.607095 I", "b->-0.361281 + 0.577577 I" ], [ "u->-0.752606 + 0.874521 I", "a->0.312041 - 0.899421 I", "b->0.895728 - 0.988619 I" ], [ "u->-0.752606 - 0.874521 I", "a->0.794589 - 0.607095 I", "b->-0.361281 - 0.577577 I" ], [ "u->-0.752606 - 0.874521 I", "a->0.312041 + 0.899421 I", "b->0.895728 + 0.988619 I" ], [ "u->-1.21113 + 0.137559 I", "a->0.091441 - 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0.378271 I" ], [ "u->-1.18917 + 1.13858 I", "a->-0.003038 + 1.09282 I", "b->-0.617784 + 0.888572 I" ], [ "u->-1.18917 + 1.13858 I", "a->0.319294 - 0.326713 I", "b->0.963591 - 0.457047 I" ], [ "u->-1.18917 - 1.13858 I", "a->-0.003038 - 1.09282 I", "b->-0.617784 - 0.888572 I" ], [ "u->-1.18917 - 1.13858 I", "a->0.319294 + 0.326713 I", "b->0.963591 + 0.457047 I" ] ], "Epsilon":0.309954, "uPolys_ij_N":[ "1 - 38*u + 703*u^2 - 8436*u^3 + 73815*u^4 - 501942*u^5 + 2760681*u^6 - 12620256*u^7 + 48903492*u^8 - 163011640*u^9 + 472733756*u^10 - 1203322288*u^11 + 2707475148*u^12 - 5414950296*u^13 + 9669554100*u^14 - 15471286560*u^15 + 22239974430*u^16 - 28781143380*u^17 + 33578000610*u^18 - 35345263800*u^19 + 33578000610*u^20 - 28781143380*u^21 + 22239974430*u^22 - 15471286560*u^23 + 9669554100*u^24 - 5414950296*u^25 + 2707475148*u^26 - 1203322288*u^27 + 472733756*u^28 - 163011640*u^29 + 48903492*u^30 - 12620256*u^31 + 2760681*u^32 - 501942*u^33 + 73815*u^34 - 8436*u^35 + 703*u^36 - 38*u^37 + u^38", "4 - 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17255236*u^11 + 24964946*u^12 - 32385960*u^13 + 38558780*u^14 - 42498952*u^15 + 43360040*u^16 - 41478218*u^17 + 37497127*u^18 - 31685602*u^19 + 25366905*u^20 - 19248998*u^21 + 13697049*u^22 - 9268896*u^23 + 5916860*u^24 - 3535418*u^25 + 2000639*u^26 - 1051606*u^27 + 514103*u^28 - 234368*u^29 + 96840*u^30 - 36984*u^31 + 12704*u^32 - 3830*u^33 + 1073*u^34 - 230*u^35 + 51*u^36 - 6*u^37 + u^38", "64 - 1104*u + 9129*u^2 - 48186*u^3 + 181579*u^4 - 514690*u^5 + 1118153*u^6 - 1838580*u^7 + 2133456*u^8 - 1269308*u^9 - 926538*u^10 + 3293928*u^11 - 3715462*u^12 + 1069508*u^13 + 2932708*u^14 - 4678704*u^15 + 2325252*u^16 + 1821842*u^17 - 3642053*u^18 + 1800378*u^19 + 1115881*u^20 - 2080262*u^21 + 892217*u^22 + 515624*u^23 - 804328*u^24 + 281790*u^25 + 171411*u^26 - 218894*u^27 + 70523*u^28 + 29872*u^29 - 37544*u^30 + 12528*u^31 + 2724*u^32 - 4746*u^33 + 2461*u^34 - 762*u^35 + 151*u^36 - 18*u^37 + u^38", "9983 - 84479*u + 405049*u^2 - 856031*u^3 + 1784956*u^4 + 99288*u^5 + 2205917*u^6 - 13633800*u^7 + 11849898*u^8 + 15944644*u^9 - 3966578*u^10 - 6247744*u^11 - 5849130*u^12 - 5955856*u^13 + 66941612*u^14 + 113860256*u^15 + 67833262*u^16 + 11117929*u^17 - 33031930*u^18 - 47978030*u^19 - 20389755*u^20 + 15194723*u^21 + 20711160*u^22 + 7271809*u^23 - 1036191*u^24 - 1545956*u^25 - 407397*u^26 + 2421*u^27 + 66430*u^28 + 21905*u^29 + 9689*u^30 + 3711*u^31 - 1309*u^32 - 782*u^33 + 133*u^34 + 59*u^35 - 18*u^36 - 2*u^37 + u^38", "6683 + 16559*u - 122891*u^2 - 198487*u^3 + 384918*u^4 + 88756*u^5 + 3878217*u^6 - 1889970*u^7 + 5240714*u^8 - 6716112*u^9 + 6908440*u^10 - 2266052*u^11 + 1470816*u^12 + 2055566*u^13 - 1802418*u^14 + 3923432*u^15 - 2462496*u^16 - 4939451*u^17 + 10327856*u^18 - 10105870*u^19 + 4672925*u^20 + 1099951*u^21 - 2959466*u^22 + 2816765*u^23 - 1466533*u^24 + 240188*u^25 + 287631*u^26 - 242499*u^27 + 108780*u^28 - 30001*u^29 - 4151*u^30 + 8067*u^31 - 3479*u^32 + 362*u^33 + 207*u^34 - 67*u^35 + 16*u^36 - 6*u^37 + u^38", "-996332 + 1120198*u - 4954759*u^2 + 17886568*u^3 - 19116244*u^4 + 68190555*u^5 - 79105741*u^6 + 109531140*u^7 - 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17074*u^14 + 5456*u^15 - 198*u^16 - 6045*u^17 + 8542*u^18 - 7478*u^19 + 7881*u^20 - 4457*u^21 + 3998*u^22 - 1695*u^23 + 1127*u^24 - 626*u^25 + 65*u^26 - 183*u^27 - 20*u^28 + 13*u^29 + 15*u^30 + 17*u^31 + 35*u^32 + 26*u^33 + 15*u^34 + 3*u^35 + 4*u^36 + 2*u^37 + u^38", "1 + 8*u + 48*u^2 + 234*u^3 + 1012*u^4 + 3800*u^5 + 12693*u^6 + 38148*u^7 + 104194*u^8 + 258084*u^9 + 578588*u^10 + 1173304*u^11 + 2157662*u^12 + 3614056*u^13 + 5543332*u^14 + 7828322*u^15 + 10229371*u^16 + 12420442*u^17 + 14059460*u^18 + 14872530*u^19 + 14725214*u^20 + 13656608*u^21 + 11864869*u^22 + 9650354*u^23 + 7337759*u^24 + 5203718*u^25 + 3430354*u^26 + 2092580*u^27 + 1174431*u^28 + 602048*u^29 + 279392*u^30 + 116086*u^31 + 42589*u^32 + 13550*u^33 + 3648*u^34 + 802*u^35 + 136*u^36 + 16*u^37 + u^38", "1 - 32*u + 584*u^2 - 6982*u^3 + 62292*u^4 - 427824*u^5 + 2379701*u^6 - 10713740*u^7 + 39632482*u^8 - 120085772*u^9 + 295404060*u^10 - 588862752*u^11 + 956207078*u^12 - 1276145368*u^13 + 1415385404*u^14 - 1323877486*u^15 + 1068089139*u^16 - 770172358*u^17 + 519626036*u^18 - 339073750*u^19 + 212037278*u^20 - 121260488*u^21 + 60333141*u^22 - 25488486*u^23 + 9336711*u^24 - 3130378*u^25 + 852986*u^26 + 56188*u^27 - 336017*u^28 + 285760*u^29 - 144904*u^30 + 45334*u^31 - 5259*u^32 - 2850*u^33 + 1944*u^34 - 630*u^35 + 128*u^36 - 16*u^37 + u^38", "1 - 8*u + 28*u^2 - 46*u^3 + 144*u^5 - 211*u^6 - 104*u^7 + 622*u^8 - 412*u^9 - 868*u^10 + 1508*u^11 + 302*u^12 - 2612*u^13 + 1320*u^14 + 2754*u^15 - 3333*u^16 - 1422*u^17 + 4504*u^18 - 810*u^19 - 4034*u^20 + 2636*u^21 + 2297*u^22 - 3122*u^23 - 433*u^24 + 2374*u^25 - 638*u^26 - 1204*u^27 + 795*u^28 + 344*u^29 - 492*u^30 + 14*u^31 + 185*u^32 - 62*u^33 - 36*u^34 + 26*u^35 - 4*u^37 + u^38", "5041 - 8520*u + 22912*u^2 - 18166*u^3 + 3016*u^4 + 41820*u^5 - 133891*u^6 + 212920*u^7 - 297334*u^8 + 270560*u^9 - 97256*u^10 - 196092*u^11 + 619694*u^12 - 1010592*u^13 + 1291772*u^14 - 1379934*u^15 + 1223747*u^16 - 925198*u^17 + 574580*u^18 - 281174*u^19 + 106418*u^20 - 23880*u^21 + 2029*u^22 - 2438*u^23 + 1643*u^24 - 1766*u^25 + 674*u^26 + 120*u^27 + 419*u^28 - 144*u^29 + 104*u^30 - 62*u^31 - 35*u^32 + 2*u^33 + 12*u^34 + 10*u^35 + 8*u^36 + 4*u^37 + u^38", "568957 + 8390577*u + 39875699*u^2 + 68559685*u^3 + 87806932*u^4 + 283110460*u^5 + 486192025*u^6 + 169225038*u^7 - 175624488*u^8 + 306645160*u^9 + 730534250*u^10 + 18803048*u^11 - 738144826*u^12 - 333841636*u^13 + 384719632*u^14 + 348750268*u^15 - 58235088*u^16 - 159329495*u^17 - 25163072*u^18 + 42855820*u^19 + 18041855*u^20 - 5915873*u^21 - 5324202*u^22 - 159609*u^23 + 898845*u^24 + 301464*u^25 - 45111*u^26 - 78581*u^27 - 21450*u^28 + 10699*u^29 + 6243*u^30 - 1427*u^31 - 1197*u^32 + 182*u^33 + 177*u^34 - 13*u^35 - 14*u^36 + 2*u^37 + u^38", "-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38", "-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38", "1 + 5*u + 75*u^2 + 881*u^3 + 4326*u^4 + 11900*u^5 + 23801*u^6 + 29016*u^7 + 39168*u^8 + 30662*u^9 + 55908*u^10 - 12592*u^11 + 56954*u^12 - 159696*u^13 + 115640*u^14 - 437984*u^15 + 334866*u^16 - 925607*u^17 + 912482*u^18 - 1647916*u^19 + 1691331*u^20 - 2211961*u^21 + 2072368*u^22 - 2096797*u^23 + 1697761*u^24 - 1374172*u^25 + 938921*u^26 - 613303*u^27 + 346916*u^28 - 181795*u^29 + 83357*u^30 - 34547*u^31 + 12531*u^32 - 4004*u^33 + 1119*u^34 - 263*u^35 + 54*u^36 - 8*u^37 + u^38", "121 + 13311*u - 309141*u^2 + 3025847*u^3 - 17598682*u^4 + 69352192*u^5 - 198128263*u^6 + 424979956*u^7 - 691787680*u^8 + 839924082*u^9 - 706548168*u^10 + 298474428*u^11 + 146740282*u^12 - 341204108*u^13 + 211045280*u^14 + 51849016*u^15 - 202871126*u^16 + 166802959*u^17 - 44287602*u^18 - 40817936*u^19 + 51725251*u^20 - 24560979*u^21 + 1220468*u^22 + 5559873*u^23 - 3035723*u^24 - 159280*u^25 + 1221077*u^26 - 956669*u^27 + 452148*u^28 - 152109*u^29 + 37397*u^30 - 5861*u^31 + 1415*u^32 - 300*u^33 + 311*u^34 - 77*u^35 + 34*u^36 - 4*u^37 + u^38", "335071 - 3044972*u + 792057*u^2 + 8801661*u^3 + 24978209*u^4 - 698017*u^5 + 12306937*u^6 + 9421076*u^7 + 27013126*u^8 - 17562774*u^9 - 22147064*u^10 - 36634984*u^11 + 2356258*u^12 + 25651244*u^13 + 19116162*u^14 + 321916*u^15 - 14222696*u^16 - 6704541*u^17 + 1206259*u^18 + 4453277*u^19 + 1750339*u^20 - 981073*u^21 - 812363*u^22 - 257372*u^23 + 245642*u^24 + 135785*u^25 - 18483*u^26 - 26013*u^27 - 13351*u^28 + 5220*u^29 + 3700*u^30 - 594*u^31 - 342*u^32 - 139*u^33 + 45*u^34 + 43*u^35 - 11*u^36 - 3*u^37 + u^38", "14173 + 32897*u + 18639*u^2 - 975041*u^3 + 2214668*u^4 - 1114194*u^5 - 1005413*u^6 - 23552*u^7 + 1463276*u^8 - 219338*u^9 + 1222280*u^10 - 1431246*u^11 - 8067322*u^12 + 15577228*u^13 - 5748216*u^14 - 8197016*u^15 + 9059624*u^16 - 2909085*u^17 - 451986*u^18 + 1517844*u^19 - 1865235*u^20 + 1349935*u^21 - 493840*u^22 - 274903*u^23 + 637297*u^24 - 390634*u^25 - 21743*u^26 + 138599*u^27 - 39362*u^28 - 29265*u^29 + 19367*u^30 + 1051*u^31 - 3361*u^32 + 266*u^33 + 327*u^34 - 15*u^35 - 22*u^36 + u^38", "1 + 7*u + 27*u^2 + 71*u^3 + 170*u^4 + 296*u^5 + 443*u^6 + 562*u^7 + 702*u^8 + 758*u^9 + 702*u^10 + 766*u^11 + 1014*u^12 + 1052*u^13 + 844*u^14 + 968*u^15 + 1228*u^16 + 817*u^17 + 302*u^18 + 854*u^19 + 1283*u^20 + 435*u^21 - 276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38", "27617 + 31993*u + 84579*u^2 + 486613*u^3 - 195006*u^4 + 2258978*u^5 - 1454977*u^6 + 5584782*u^7 - 3754874*u^8 + 8773484*u^9 - 5909172*u^10 + 9534554*u^11 - 6154402*u^12 + 7791276*u^13 - 3815554*u^14 + 5473594*u^15 - 456636*u^16 + 3700233*u^17 + 1541746*u^18 + 2251840*u^19 + 1576515*u^20 + 1052399*u^21 + 818660*u^22 + 345017*u^23 + 274965*u^24 + 82826*u^25 + 70673*u^26 + 18043*u^27 + 16184*u^28 + 3491*u^29 + 2961*u^30 + 279*u^31 + 345*u^32 - 18*u^33 + 45*u^34 + 7*u^35 + 10*u^36 + 2*u^37 + u^38", "-83 + 1311*u - 10545*u^2 + 57323*u^3 - 225712*u^4 + 677844*u^5 - 1584847*u^6 + 2965216*u^7 - 4311448*u^8 + 4547682*u^9 - 2518266*u^10 - 727534*u^11 + 1281370*u^12 + 1461644*u^13 - 2058232*u^14 - 1208428*u^15 + 2858692*u^16 - 22927*u^17 - 1313066*u^18 + 56678*u^19 + 4739*u^20 - 20663*u^21 + 449320*u^22 - 51727*u^23 - 321529*u^24 + 45052*u^25 + 143771*u^26 - 18407*u^27 - 47946*u^28 + 4721*u^29 + 12465*u^30 - 833*u^31 - 2407*u^32 + 92*u^33 + 321*u^34 - 5*u^35 - 26*u^36 + u^38", "708793 + 4143370*u + 12979587*u^2 + 32516311*u^3 + 55637633*u^4 + 32596031*u^5 - 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2*u^2 + u^3", "1 + 3*u + 2*u^2 + u^3", "-1 + 5*u + 2*u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u + u^3", "1 + u + 2*u^2 + u^3", "1 - u^2 + u^3", "-1 + 5*u - 4*u^2 + u^3", "-5 + 4*u - u^2 + u^3", "1 + 5*u + 4*u^2 + u^3", "-1 + u^2 + u^3", "-1 + u - 2*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "-1 - u + u^3", "-7 + 2*u - u^2 + u^3", "-5 - 4*u + u^2 + u^3", "-1 - 3*u - 2*u^2 + u^3" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + 3*u + 3*u^2 + u^3", "u^3", "-1 + 3*u - 3*u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 3*u - 2*u^2 + u^3", "1 + 3*u + 2*u^2 + u^3", "-1 + 5*u + 2*u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u + u^3", "1 + u + 2*u^2 + u^3", "1 - u^2 + u^3", "-1 + 5*u - 4*u^2 + u^3", "-5 + 4*u - u^2 + u^3", "1 + 5*u + 4*u^2 + u^3", "-1 + u^2 + u^3", "-1 + u - 2*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "-1 - u + u^3", "-7 + 2*u - u^2 + u^3", "-5 - 4*u + u^2 + u^3", "-1 - 3*u - 2*u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{1, 7}", "{1, 8}", "{4, 9}", "{5, 7}" ], [ "{1, 9}", "{2, 6}" ], [ "{3, 5}" ], [ "{2, 9}", "{2, 10}" ], [ "{3, 10}" ], [ "{1, 3}" ], [ "{1, 10}" ], [ "{1, 4}", "{2, 3}", "{2, 4}", "{5, 6}", "{6, 8}" ], [ "{4, 10}" ], [ "{3, 4}", "{6, 7}" ], [ "{1, 5}", "{1, 6}" ], [ "{2, 5}" ], [ "{5, 10}" ], [ "{2, 8}" ], [ "{2, 7}", "{3, 7}", "{3, 9}" ], [ "{4, 5}", "{7, 9}", "{8, 9}" ], [ "{1, 2}", "{9, 10}" ], [ "{3, 6}", "{4, 6}", "{4, 8}", "{5, 8}", "{5, 9}", "{6, 9}", "{6, 10}", "{7, 10}" ], [ "{8, 10}" ], [ "{3, 8}" ], [ "{4, 7}", "{7, 8}" ] ], "SortedReprnIndices":"{2, 1, 3}", "aCuspShapeN":[ "-0.9934123991461099209`4.505572208030719 + 4.2720555967710501612`5.139079527738283*I", "-0.9934123991461099209`4.505572208030719 - 4.2720555967710501612`5.139079527738283*I", -2.0013e1 ], "Abelian":false }, { "IdealName":"J10_113_4", "Generators":[ "a", "b + v", "1 - v + v^2" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "ZeroDimensionalVars":[ "b", "a", "v" ], "Timings":{ "TimingZeroDimVars":6.8551e-2, "TimingmagmaVCompNormalize":0.167288, "TimingNumberOfSols":3.2038000000000004e-2, "TimingIsRadical":2.2400000000000002e-3, "TimingArcColoring":7.228e-2, "TimingObstruction":1.14e-3, "TimingComplexVolumeN":1.55782, "TimingaCuspShapeN":8.355000000000001e-3, "TiminguValues":0.637928, "TiminguPolysN":3.49e-4, "TiminguPolys":0.77011, "TimingaCuspShape":8.8294e-2, "TimingRepresentationsN":3.0873e-2, "TiminguValues_ij":0.158834, "TiminguPolys_ij_N":5.53e-4 }, "Legacy":{ "IdealName":"J10_113_4", "Generators":[ "b + v", "1 - v + v^2" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "MonomialOrder":"lex" }, "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ "{1, 0}", [ "v", 1 ], [ "v", 0 ], [ "-1 + v", 1 ], [ 0, "-v" ], [ "v", "-v" ], [ 0, "-v" ], [ "1 - v", "-1 - v" ], [ "1 - v", -1 ], "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":[ -3.28987, -3.28987 ], "uPolysN":[ "1 - 2*u + u^2", "1 - u + u^2", "1 - u + u^2", "1 - 2*u + u^2", "1 - u + u^2", "1 - u + u^2", "1 - 2*u + u^2", "1 + 2*u + u^2", "1 - 2*u + u^2", "u^2" ], "uPolys":[ "(-1 + u)^2", "1 - u + u^2", "1 - u + u^2", "(-1 + u)^2", "1 - u + u^2", "1 - u + u^2", "(-1 + u)^2", "(1 + u)^2", "(-1 + u)^2", "u^2" ], "aCuspShape":-9, "RepresentationsN":[ [ "v->0.5 + 0.866025 I", "a->0", "b->-0.5 - 0.866025 I" ], [ "v->0.5 - 0.866025 I", "a->0", "b->-0.5 + 0.866025 I" ] ], "Epsilon":2.44949, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "3 + u^2", "4 - 2*u + u^2", "3 + 3*u + u^2", "1 - u + u^2", "1 + u + u^2", "1 + u + u^2", "1 - u + u^2", "3 - 3*u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 9}", "{2, 9}", "{2, 10}", "{4, 10}" ], [ "{1, 3}", "{1, 10}", "{3, 10}", "{4, 9}", "{5, 7}" ], [ "{1, 2}", "{1, 4}", "{2, 4}", "{4, 5}", "{4, 7}", "{4, 8}", "{5, 8}", "{5, 9}", "{7, 8}", "{7, 9}", "{8, 9}", "{9, 10}" ], [ "{2, 6}", "{3, 8}" ], [ "{6, 8}" ], [ "{1, 8}" ], [ "{2, 5}", "{2, 7}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 6}", "{6, 7}", "{6, 9}" ], [ "{5, 6}" ], [ "{1, 5}", "{1, 6}", "{1, 7}", "{2, 3}", "{2, 8}", "{3, 9}" ], [ "{3, 4}", "{5, 10}", "{6, 10}", "{7, 10}" ], [ "{8, 10}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":[ -9.0, -9.0 ], "Abelian":false }, { "IdealName":"abJ10_113_5", "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":0.108594, "TimingZeroDimVars":6.8922e-2, "TimingmagmaVCompNormalize":7.0255e-2, "TimingNumberOfSols":2.7792e-2, "TimingIsRadical":1.997e-3, "TimingArcColoring":6.8612e-2, "TimingObstruction":3.8100000000000005e-4, "TimingComplexVolumeN":0.340876, "TimingaCuspShapeN":4.3609999999999986e-3, "TiminguValues":0.632894, "TiminguPolysN":7.3e-5, "TiminguPolys":0.765893, "TimingaCuspShape":8.6593e-2, "TimingRepresentationsN":2.5491000000000003e-2, "TiminguValues_ij":0.155487, "TiminguPoly_ij":0.154243, "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*(-1 + 2*u - u^2 + u^3)*(1 + 2*u^2 - u^3 + u^4)*(1 - 2*u - 7*u^2 + 19*u^3 + 47*u^4 - 62*u^5 - 128*u^6 + 202*u^7 + 334*u^8 - 414*u^9 - 748*u^10 + 403*u^11 + 1094*u^12 + 12*u^13 - 814*u^14 - 156*u^15 + 498*u^16 + 227*u^17 - 153*u^18 - 85*u^19 + 75*u^20 + 61*u^21 - 8*u^23 + 3*u^24 + 4*u^25 + u^26)*(-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38)", "(1 - u + u^2)*(-1 + u^2 + u^3)*(1 - u^3 + u^4)*(1 - 2*u + 5*u^2 + 3*u^3 - 5*u^4 - 6*u^5 + 8*u^6 + 20*u^7 - 26*u^8 + 8*u^9 + 10*u^10 + 5*u^11 + 18*u^12 + 10*u^13 + 4*u^14 + 2*u^15 + 40*u^16 - 13*u^17 + 19*u^18 - u^19 + 17*u^20 - 3*u^21 + 10*u^22 + 3*u^24 + u^26)*(11 + 109*u - 65*u^2 + 1277*u^3 - 1590*u^4 + 6524*u^5 - 8163*u^6 + 18650*u^7 - 20908*u^8 + 32690*u^9 - 32158*u^10 + 36280*u^11 - 31196*u^12 + 24062*u^13 - 17074*u^14 + 5456*u^15 - 198*u^16 - 6045*u^17 + 8542*u^18 - 7478*u^19 + 7881*u^20 - 4457*u^21 + 3998*u^22 - 1695*u^23 + 1127*u^24 - 626*u^25 + 65*u^26 - 183*u^27 - 20*u^28 + 13*u^29 + 15*u^30 + 17*u^31 + 35*u^32 + 26*u^33 + 15*u^34 + 3*u^35 + 4*u^36 + 2*u^37 + u^38)", "(1 - u + u^2)*(-1 - u + u^3)*(1 - u + u^4)*(1 + 2*u + 17*u^2 + 30*u^3 + 124*u^4 + 190*u^5 + 511*u^6 + 675*u^7 + 1316*u^8 + 1488*u^9 + 2224*u^10 + 2140*u^11 + 2555*u^12 + 2084*u^13 + 2069*u^14 + 1424*u^15 + 1227*u^16 + 716*u^17 + 554*u^18 + 274*u^19 + 192*u^20 + 77*u^21 + 49*u^22 + 15*u^23 + 9*u^24 + 2*u^25 + u^26)*(1 + 7*u + 27*u^2 + 71*u^3 + 170*u^4 + 296*u^5 + 443*u^6 + 562*u^7 + 702*u^8 + 758*u^9 + 702*u^10 + 766*u^11 + 1014*u^12 + 1052*u^13 + 844*u^14 + 968*u^15 + 1228*u^16 + 817*u^17 + 302*u^18 + 854*u^19 + 1283*u^20 + 435*u^21 - 276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38)", "(-1 + u)^2*(-1 - u + u^3)*(1 + u^3 + u^4)*(1 - 4*u + 6*u^2 + u^3 - 14*u^4 + 10*u^5 + 18*u^6 - 26*u^7 - 9*u^8 + 36*u^9 - 8*u^10 - 29*u^11 + 19*u^12 + 14*u^13 - 17*u^14 - 2*u^15 + 9*u^16 - 2*u^17 - 2*u^18 + u^19)^2*(4 + 25*u + 68*u^2 + 74*u^3 - 53*u^4 - 248*u^5 - 213*u^6 + 174*u^7 + 477*u^8 + 183*u^9 - 439*u^10 - 558*u^11 + 27*u^12 + 543*u^13 + 351*u^14 - 197*u^15 - 375*u^16 - 87*u^17 + 190*u^18 + 164*u^19 - 5*u^20 - 81*u^21 - 45*u^22 + 2*u^23 + 13*u^24 + 6*u^25 + u^26)", "(1 - u + u^2)*(-1 + u^2 + u^3)*(1 - u^3 + u^4)*(1 - 2*u + 5*u^2 + 3*u^3 - 5*u^4 - 6*u^5 + 8*u^6 + 20*u^7 - 26*u^8 + 8*u^9 + 10*u^10 + 5*u^11 + 18*u^12 + 10*u^13 + 4*u^14 + 2*u^15 + 40*u^16 - 13*u^17 + 19*u^18 - u^19 + 17*u^20 - 3*u^21 + 10*u^22 + 3*u^24 + u^26)*(11 + 109*u - 65*u^2 + 1277*u^3 - 1590*u^4 + 6524*u^5 - 8163*u^6 + 18650*u^7 - 20908*u^8 + 32690*u^9 - 32158*u^10 + 36280*u^11 - 31196*u^12 + 24062*u^13 - 17074*u^14 + 5456*u^15 - 198*u^16 - 6045*u^17 + 8542*u^18 - 7478*u^19 + 7881*u^20 - 4457*u^21 + 3998*u^22 - 1695*u^23 + 1127*u^24 - 626*u^25 + 65*u^26 - 183*u^27 - 20*u^28 + 13*u^29 + 15*u^30 + 17*u^31 + 35*u^32 + 26*u^33 + 15*u^34 + 3*u^35 + 4*u^36 + 2*u^37 + u^38)", "(1 - u + u^2)*(-1 - u + u^3)*(1 - u + u^4)*(1 + 2*u + 17*u^2 + 30*u^3 + 124*u^4 + 190*u^5 + 511*u^6 + 675*u^7 + 1316*u^8 + 1488*u^9 + 2224*u^10 + 2140*u^11 + 2555*u^12 + 2084*u^13 + 2069*u^14 + 1424*u^15 + 1227*u^16 + 716*u^17 + 554*u^18 + 274*u^19 + 192*u^20 + 77*u^21 + 49*u^22 + 15*u^23 + 9*u^24 + 2*u^25 + u^26)*(1 + 7*u + 27*u^2 + 71*u^3 + 170*u^4 + 296*u^5 + 443*u^6 + 562*u^7 + 702*u^8 + 758*u^9 + 702*u^10 + 766*u^11 + 1014*u^12 + 1052*u^13 + 844*u^14 + 968*u^15 + 1228*u^16 + 817*u^17 + 302*u^18 + 854*u^19 + 1283*u^20 + 435*u^21 - 276*u^22 + 453*u^23 + 961*u^24 + 256*u^25 - 331*u^26 + 79*u^27 + 402*u^28 + 129*u^29 - 109*u^30 - 21*u^31 + 73*u^32 + 36*u^33 - 9*u^34 - 7*u^35 + 4*u^36 + 4*u^37 + u^38)", "(-1 + u)^2*(-1 + u - 2*u^2 + u^3)*(1 + 2*u^2 - u^3 + u^4)*(1 + 4*u + 16*u^2 + 53*u^3 + 166*u^4 + 388*u^5 + 734*u^6 + 1132*u^7 + 1483*u^8 + 1688*u^9 + 1702*u^10 + 1533*u^11 + 1231*u^12 + 870*u^13 + 531*u^14 + 272*u^15 + 113*u^16 + 36*u^17 + 8*u^18 + u^19)^2*(16 + 81*u + 500*u^2 + 1988*u^3 + 5661*u^4 + 12468*u^5 + 22439*u^6 + 34262*u^7 + 45451*u^8 + 53465*u^9 + 56731*u^10 + 55202*u^11 + 49973*u^12 + 42563*u^13 + 34407*u^14 + 26551*u^15 + 19623*u^16 + 13851*u^17 + 9230*u^18 + 5688*u^19 + 3157*u^20 + 1533*u^21 + 631*u^22 + 212*u^23 + 55*u^24 + 10*u^25 + u^26)", "(1 + u)^2*(1 - u + u^3)*(1 - u^3 + u^4)*(1 - 4*u + 6*u^2 + u^3 - 14*u^4 + 10*u^5 + 18*u^6 - 26*u^7 - 9*u^8 + 36*u^9 - 8*u^10 - 29*u^11 + 19*u^12 + 14*u^13 - 17*u^14 - 2*u^15 + 9*u^16 - 2*u^17 - 2*u^18 + u^19)^2*(4 + 25*u + 68*u^2 + 74*u^3 - 53*u^4 - 248*u^5 - 213*u^6 + 174*u^7 + 477*u^8 + 183*u^9 - 439*u^10 - 558*u^11 + 27*u^12 + 543*u^13 + 351*u^14 - 197*u^15 - 375*u^16 - 87*u^17 + 190*u^18 + 164*u^19 - 5*u^20 - 81*u^21 - 45*u^22 + 2*u^23 + 13*u^24 + 6*u^25 + u^26)", "(-1 + u)^2*(-1 + 2*u - u^2 + u^3)*(1 + 2*u^2 - u^3 + u^4)*(1 - 2*u - 7*u^2 + 19*u^3 + 47*u^4 - 62*u^5 - 128*u^6 + 202*u^7 + 334*u^8 - 414*u^9 - 748*u^10 + 403*u^11 + 1094*u^12 + 12*u^13 - 814*u^14 - 156*u^15 + 498*u^16 + 227*u^17 - 153*u^18 - 85*u^19 + 75*u^20 + 61*u^21 - 8*u^23 + 3*u^24 + 4*u^25 + u^26)*(-1 + 10*u - 51*u^2 + 159*u^3 - 233*u^4 - 379*u^5 + 3061*u^6 - 8840*u^7 + 16944*u^8 - 26056*u^9 + 36576*u^10 - 48126*u^11 + 56922*u^12 - 61402*u^13 + 64746*u^14 - 66032*u^15 + 61846*u^16 - 55893*u^17 + 51317*u^18 - 45125*u^19 + 37243*u^20 - 31077*u^21 + 26163*u^22 - 20418*u^23 + 15296*u^24 - 11637*u^25 + 8353*u^26 - 5513*u^27 + 3541*u^28 - 2218*u^29 + 1254*u^30 - 662*u^31 + 340*u^32 - 159*u^33 + 71*u^34 - 25*u^35 + 11*u^36 - 3*u^37 + u^38)", "u^2*(1 + 3*u + 2*u^2 + u^3)*(3 + 5*u + 5*u^2 + 3*u^3 + u^4)*(2 - u - 9*u^2 + 21*u^3 + 4*u^4 - 66*u^5 + 74*u^6 + 44*u^7 - 182*u^8 + 145*u^9 + 73*u^10 - 247*u^11 + 198*u^12 + u^13 - 153*u^14 + 168*u^15 - 102*u^16 + 39*u^17 - 9*u^18 + u^19)^2*(2 + 5*u + u^2 - 41*u^3 - 157*u^4 - 176*u^5 + 894*u^6 + 5326*u^7 + 15602*u^8 + 31043*u^9 + 44556*u^10 + 45025*u^11 + 26849*u^12 - 2219*u^13 - 25479*u^14 - 31034*u^15 - 20547*u^16 - 5049*u^17 + 5571*u^18 + 8548*u^19 + 6651*u^20 + 3625*u^21 + 1474*u^22 + 448*u^23 + 98*u^24 + 14*u^25 + u^26)" ], "RileyPolyC":[ "(-1 + y)^2*(-1 + 2*y + 3*y^2 + y^3)*(1 + 4*y + 6*y^2 + 3*y^3 + y^4)*(1 - 18*y + 219*y^2 - 1523*y^3 + 7833*y^4 - 31380*y^5 + 102832*y^6 - 280166*y^7 + 634420*y^8 - 1189406*y^9 + 1848310*y^10 - 2381123*y^11 + 2550030*y^12 - 2291712*y^13 + 1756090*y^14 - 1165420*y^15 + 678394*y^16 - 348061*y^17 + 157767*y^18 - 63157*y^19 + 22235*y^20 - 6819*y^21 + 1800*y^22 - 402*y^23 + 73*y^24 - 10*y^25 + y^26)*(1 + 2*y - 113*y^2 - 57*y^3 + 5501*y^4 - 39267*y^5 + 176829*y^6 - 612724*y^7 + 1460860*y^8 - 2828086*y^9 + 4117214*y^10 - 1807294*y^11 + 3131910*y^12 - 4888884*y^13 - 412772*y^14 - 3886328*y^15 + 4113446*y^16 + 1298339*y^17 + 4948809*y^18 - 55935*y^19 + 892251*y^20 - 1752811*y^21 - 651739*y^22 - 1139680*y^23 - 318094*y^24 - 152961*y^25 + 247693*y^26 + 327899*y^27 + 345831*y^28 + 256308*y^29 + 161236*y^30 + 80860*y^31 + 33782*y^32 + 11261*y^33 + 3107*y^34 + 663*y^35 + 113*y^36 + 13*y^37 + y^38)", "(1 + y + y^2)*(-1 + 2*y - y^2 + y^3)*(1 + 2*y^2 - y^3 + y^4)*(1 + 6*y + 27*y^2 - 67*y^3 + 169*y^4 - 444*y^5 + 672*y^6 - 622*y^7 + 464*y^8 - 42*y^9 - 1330*y^10 + 365*y^11 - 1042*y^12 + 252*y^13 + 1318*y^14 + 1176*y^15 + 2526*y^16 + 1919*y^17 + 1915*y^18 + 1427*y^19 + 911*y^20 + 525*y^21 + 240*y^22 + 94*y^23 + 29*y^24 + 6*y^25 + y^26)*(121 - 13311*y - 309141*y^2 - 3025847*y^3 - 17598682*y^4 - 69352192*y^5 - 198128263*y^6 - 424979956*y^7 - 691787680*y^8 - 839924082*y^9 - 706548168*y^10 - 298474428*y^11 + 146740282*y^12 + 341204108*y^13 + 211045280*y^14 - 51849016*y^15 - 202871126*y^16 - 166802959*y^17 - 44287602*y^18 + 40817936*y^19 + 51725251*y^20 + 24560979*y^21 + 1220468*y^22 - 5559873*y^23 - 3035723*y^24 + 159280*y^25 + 1221077*y^26 + 956669*y^27 + 452148*y^28 + 152109*y^29 + 37397*y^30 + 5861*y^31 + 1415*y^32 + 300*y^33 + 311*y^34 + 77*y^35 + 34*y^36 + 4*y^37 + y^38)", "(1 + y + y^2)*(-1 + y - 2*y^2 + y^3)*(1 - y + 2*y^2 + y^4)*(1 + 30*y + 417*y^2 + 3578*y^3 + 21282*y^4 + 93368*y^5 + 313875*y^6 + 829711*y^7 + 1758488*y^8 + 3037348*y^9 + 4341754*y^10 + 5215448*y^11 + 5343145*y^12 + 4728438*y^13 + 3647705*y^14 + 2465750*y^15 + 1463663*y^16 + 762970*y^17 + 348540*y^18 + 138938*y^19 + 48008*y^20 + 14229*y^21 + 3559*y^22 + 733*y^23 + 119*y^24 + 14*y^25 + y^26)*(1 + 5*y + 75*y^2 + 881*y^3 + 4326*y^4 + 11900*y^5 + 23801*y^6 + 29016*y^7 + 39168*y^8 + 30662*y^9 + 55908*y^10 - 12592*y^11 + 56954*y^12 - 159696*y^13 + 115640*y^14 - 437984*y^15 + 334866*y^16 - 925607*y^17 + 912482*y^18 - 1647916*y^19 + 1691331*y^20 - 2211961*y^21 + 2072368*y^22 - 2096797*y^23 + 1697761*y^24 - 1374172*y^25 + 938921*y^26 - 613303*y^27 + 346916*y^28 - 181795*y^29 + 83357*y^30 - 34547*y^31 + 12531*y^32 - 4004*y^33 + 1119*y^34 - 263*y^35 + 54*y^36 - 8*y^37 + y^38)", "(-1 + y)^2*(-1 + y - 2*y^2 + y^3)*(1 + 2*y^2 - y^3 + y^4)*(-1 + 4*y - 16*y^2 + 53*y^3 - 166*y^4 + 388*y^5 - 734*y^6 + 1132*y^7 - 1483*y^8 + 1688*y^9 - 1702*y^10 + 1533*y^11 - 1231*y^12 + 870*y^13 - 531*y^14 + 272*y^15 - 113*y^16 + 36*y^17 - 8*y^18 + y^19)^2*(16 - 81*y + 500*y^2 - 1988*y^3 + 5661*y^4 - 12468*y^5 + 22439*y^6 - 34262*y^7 + 45451*y^8 - 53465*y^9 + 56731*y^10 - 55202*y^11 + 49973*y^12 - 42563*y^13 + 34407*y^14 - 26551*y^15 + 19623*y^16 - 13851*y^17 + 9230*y^18 - 5688*y^19 + 3157*y^20 - 1533*y^21 + 631*y^22 - 212*y^23 + 55*y^24 - 10*y^25 + y^26)", "(1 + y + y^2)*(-1 + 2*y - y^2 + y^3)*(1 + 2*y^2 - y^3 + y^4)*(1 + 6*y + 27*y^2 - 67*y^3 + 169*y^4 - 444*y^5 + 672*y^6 - 622*y^7 + 464*y^8 - 42*y^9 - 1330*y^10 + 365*y^11 - 1042*y^12 + 252*y^13 + 1318*y^14 + 1176*y^15 + 2526*y^16 + 1919*y^17 + 1915*y^18 + 1427*y^19 + 911*y^20 + 525*y^21 + 240*y^22 + 94*y^23 + 29*y^24 + 6*y^25 + y^26)*(121 - 13311*y - 309141*y^2 - 3025847*y^3 - 17598682*y^4 - 69352192*y^5 - 198128263*y^6 - 424979956*y^7 - 691787680*y^8 - 839924082*y^9 - 706548168*y^10 - 298474428*y^11 + 146740282*y^12 + 341204108*y^13 + 211045280*y^14 - 51849016*y^15 - 202871126*y^16 - 166802959*y^17 - 44287602*y^18 + 40817936*y^19 + 51725251*y^20 + 24560979*y^21 + 1220468*y^22 - 5559873*y^23 - 3035723*y^24 + 159280*y^25 + 1221077*y^26 + 956669*y^27 + 452148*y^28 + 152109*y^29 + 37397*y^30 + 5861*y^31 + 1415*y^32 + 300*y^33 + 311*y^34 + 77*y^35 + 34*y^36 + 4*y^37 + y^38)", "(1 + y + y^2)*(-1 + y - 2*y^2 + y^3)*(1 - y + 2*y^2 + y^4)*(1 + 30*y + 417*y^2 + 3578*y^3 + 21282*y^4 + 93368*y^5 + 313875*y^6 + 829711*y^7 + 1758488*y^8 + 3037348*y^9 + 4341754*y^10 + 5215448*y^11 + 5343145*y^12 + 4728438*y^13 + 3647705*y^14 + 2465750*y^15 + 1463663*y^16 + 762970*y^17 + 348540*y^18 + 138938*y^19 + 48008*y^20 + 14229*y^21 + 3559*y^22 + 733*y^23 + 119*y^24 + 14*y^25 + y^26)*(1 + 5*y + 75*y^2 + 881*y^3 + 4326*y^4 + 11900*y^5 + 23801*y^6 + 29016*y^7 + 39168*y^8 + 30662*y^9 + 55908*y^10 - 12592*y^11 + 56954*y^12 - 159696*y^13 + 115640*y^14 - 437984*y^15 + 334866*y^16 - 925607*y^17 + 912482*y^18 - 1647916*y^19 + 1691331*y^20 - 2211961*y^21 + 2072368*y^22 - 2096797*y^23 + 1697761*y^24 - 1374172*y^25 + 938921*y^26 - 613303*y^27 + 346916*y^28 - 181795*y^29 + 83357*y^30 - 34547*y^31 + 12531*y^32 - 4004*y^33 + 1119*y^34 - 263*y^35 + 54*y^36 - 8*y^37 + y^38)", "(-1 + y)^2*(-1 - 3*y - 2*y^2 + y^3)*(1 + 4*y + 6*y^2 + 3*y^3 + y^4)*(-1 - 16*y - 164*y^2 - 867*y^3 - 3826*y^4 - 10508*y^5 - 18414*y^6 - 21792*y^7 - 18099*y^8 - 10868*y^9 - 5246*y^10 - 2751*y^11 - 1815*y^12 - 1050*y^13 - 367*y^14 - 12*y^15 + 59*y^16 + 32*y^17 + 8*y^18 + y^19)^2*(256 + 9439*y + 109096*y^2 + 407088*y^3 + 817141*y^4 + 982684*y^5 + 558283*y^6 - 333858*y^7 - 1088021*y^8 - 1205609*y^9 - 733657*y^10 - 133602*y^11 + 242637*y^12 + 342433*y^13 + 278055*y^14 + 163093*y^15 + 67659*y^16 + 16133*y^17 - 446*y^18 - 2232*y^19 - 999*y^20 - 141*y^21 + 139*y^22 + 120*y^23 + 47*y^24 + 10*y^25 + y^26)", "(-1 + y)^2*(-1 + y - 2*y^2 + y^3)*(1 + 2*y^2 - y^3 + y^4)*(-1 + 4*y - 16*y^2 + 53*y^3 - 166*y^4 + 388*y^5 - 734*y^6 + 1132*y^7 - 1483*y^8 + 1688*y^9 - 1702*y^10 + 1533*y^11 - 1231*y^12 + 870*y^13 - 531*y^14 + 272*y^15 - 113*y^16 + 36*y^17 - 8*y^18 + y^19)^2*(16 - 81*y + 500*y^2 - 1988*y^3 + 5661*y^4 - 12468*y^5 + 22439*y^6 - 34262*y^7 + 45451*y^8 - 53465*y^9 + 56731*y^10 - 55202*y^11 + 49973*y^12 - 42563*y^13 + 34407*y^14 - 26551*y^15 + 19623*y^16 - 13851*y^17 + 9230*y^18 - 5688*y^19 + 3157*y^20 - 1533*y^21 + 631*y^22 - 212*y^23 + 55*y^24 - 10*y^25 + y^26)", "(-1 + y)^2*(-1 + 2*y + 3*y^2 + y^3)*(1 + 4*y + 6*y^2 + 3*y^3 + y^4)*(1 - 18*y + 219*y^2 - 1523*y^3 + 7833*y^4 - 31380*y^5 + 102832*y^6 - 280166*y^7 + 634420*y^8 - 1189406*y^9 + 1848310*y^10 - 2381123*y^11 + 2550030*y^12 - 2291712*y^13 + 1756090*y^14 - 1165420*y^15 + 678394*y^16 - 348061*y^17 + 157767*y^18 - 63157*y^19 + 22235*y^20 - 6819*y^21 + 1800*y^22 - 402*y^23 + 73*y^24 - 10*y^25 + y^26)*(1 + 2*y - 113*y^2 - 57*y^3 + 5501*y^4 - 39267*y^5 + 176829*y^6 - 612724*y^7 + 1460860*y^8 - 2828086*y^9 + 4117214*y^10 - 1807294*y^11 + 3131910*y^12 - 4888884*y^13 - 412772*y^14 - 3886328*y^15 + 4113446*y^16 + 1298339*y^17 + 4948809*y^18 - 55935*y^19 + 892251*y^20 - 1752811*y^21 - 651739*y^22 - 1139680*y^23 - 318094*y^24 - 152961*y^25 + 247693*y^26 + 327899*y^27 + 345831*y^28 + 256308*y^29 + 161236*y^30 + 80860*y^31 + 33782*y^32 + 11261*y^33 + 3107*y^34 + 663*y^35 + 113*y^36 + 13*y^37 + y^38)", "y^2*(-1 + 5*y + 2*y^2 + y^3)*(9 + 5*y + y^2 + y^3 + y^4)*(-4 + 37*y - 139*y^2 + 349*y^3 - 816*y^4 + 1754*y^5 - 2722*y^6 + 2948*y^7 - 2788*y^8 + 2827*y^9 - 2041*y^10 + 1545*y^11 - 1136*y^12 + 611*y^13 - 343*y^14 + 160*y^15 - 52*y^16 + 21*y^17 - 3*y^18 + y^19)^2*(4 - 21*y - 217*y^2 + 3341*y^3 + 21153*y^4 + 24038*y^5 + 66744*y^6 + 132674*y^7 - 168054*y^8 - 236503*y^9 + 757556*y^10 - 966945*y^11 + 792927*y^12 - 469517*y^13 + 199907*y^14 - 53834*y^15 + 8243*y^16 - 291*y^17 + 999*y^18 - 1758*y^19 + 795*y^20 - 291*y^21 + 70*y^22 + 2*y^23 + 8*y^24 + y^26)" ] }, "GeometricRepresentation":[ 1.64735e1, [ "J10_113_0", 1, "{21, 22}" ] ] } }