{ "Index":198, "Name":"10_114", "RolfsenName":"10_114", "DTname":"10a_77", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-8, 10, -14, -12, 16, -18, -6, 20, -2, 4}", "Acode":"{-5, 6, -8, -7, 9, -10, -4, 1, -2, 3}", "PDcode":[ "{1, 8, 2, 9}", "{3, 11, 4, 10}", "{5, 14, 6, 15}", "{7, 12, 8, 13}", "{9, 17, 10, 16}", "{11, 18, 12, 19}", "{13, 6, 14, 7}", "{15, 1, 16, 20}", "{17, 2, 18, 3}", "{19, 5, 20, 4}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{3, 8, 1}", [], [ "{3, -8, 4, 1}", "{8, 1, 9, 1}", "{8, -4, 7, 2}", "{4, -7, 5, 1}", "{1, 3, 10, 2}", "{7, -10, 6, 2}", "{3, 6, 2, 2}" ], "{1, 5}", "{9}", 9 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a + b - u^2 + 2*a*u^2 - a^2*u^2 + 2*b*u^2 - 2*a*b*u^2 + a^3*b*u^2 + 5*a^2*b^2*u^2 + 8*a*b^3*u^2 + 4*b^4*u^2 - u^4 + 3*a*u^4 - 2*a^2*u^4 + b*u^4 - 4*a*b*u^4 + 2*a^3*b*u^4 - 2*b^2*u^4 + 8*a^2*b^2*u^4 + 10*a*b^3*u^4 + 4*b^4*u^4 + a*u^6 - a^2*u^6 - 2*a*b*u^6 + a^3*b*u^6 - b^2*u^6 + 3*a^2*b^2*u^6 + 3*a*b^3*u^6 + b^4*u^6", "b + u^2 - 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444250*u^13 + 317774*u^14 - 203004*u^15 + 116167*u^16 - 57546*u^17 + 25777*u^18 - 9142*u^19 + 3094*u^20 - 622*u^21 + 149*u^22", "19961 + 2051*a - 152331*u + 401456*u^2 - 511562*u^3 + 140221*u^4 + 925657*u^5 - 2731179*u^6 + 4967466*u^7 - 7231759*u^8 + 9052633*u^9 - 10120608*u^10 + 10158052*u^11 - 9266010*u^12 + 7599526*u^13 - 5637536*u^14 + 3707269*u^15 - 2192802*u^16 + 1111897*u^17 - 508248*u^18 + 183692*u^19 - 61358*u^20 + 12647*u^21 - 2738*u^22", "7 - 46*u + 137*u^2 - 223*u^3 + 163*u^4 + 192*u^5 - 908*u^6 + 1942*u^7 - 3108*u^8 + 4196*u^9 - 4979*u^10 + 5321*u^11 - 5140*u^12 + 4520*u^13 - 3588*u^14 + 2578*u^15 - 1651*u^16 + 948*u^17 - 472*u^18 + 209*u^19 - 75*u^20 + 24*u^21 - 5*u^22 + u^23" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.100821, "TimingZeroDimVars":8.7625e-2, "TimingmagmaVCompNormalize":8.898199999999999e-2, "TimingNumberOfSols":0.234094, "TimingIsRadical":2.1322e-2, "TimingArcColoring":9.1304e-2, "TimingObstruction":6.7193e-2, "TimingComplexVolumeN":1.8700124e1, "TimingaCuspShapeN":0.166114, "TiminguValues":0.675943, "TiminguPolysN":7.8094e-2, "TiminguPolys":0.910615, "TimingaCuspShape":0.139042, "TimingRepresentationsN":0.222537, "TiminguValues_ij":0.219498, "TiminguPoly_ij":2.099185, "TiminguPolys_ij_N":0.152309 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":23, "IsRadical":true, "ArcColoring":[ [ "(-19961 + 152331*u - 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129*u^2 - 285*u^3 - 183*u^4 - 651*u^5 + 2062*u^6 + 3111*u^7 + 2002*u^8 + 9550*u^9 + 1321*u^10 + 20503*u^11 + 8276*u^12 + 21691*u^13 + 7462*u^14 + 10927*u^15 + 2995*u^16 + 2973*u^17 + 596*u^18 + 439*u^19 + 56*u^20 + 33*u^21 + 2*u^22 + u^23", "-13 - 24*u + 24*u^2 - 48*u^3 - 485*u^4 - 481*u^5 + 446*u^6 + 923*u^7 + 262*u^8 - 746*u^9 - 558*u^10 + 706*u^11 + 390*u^12 - 305*u^13 - 273*u^14 + 208*u^15 + 90*u^16 - 57*u^17 - 43*u^18 + 33*u^19 - u^21 - 2*u^22 + u^23", "-49 + 225*u - 2068*u^2 + 12618*u^3 - 46450*u^4 + 100578*u^5 - 162207*u^6 + 226251*u^7 - 227748*u^8 + 259041*u^9 - 172852*u^10 + 168040*u^11 - 80659*u^12 + 65287*u^13 - 24284*u^14 + 16269*u^15 - 4888*u^16 + 2838*u^17 - 603*u^18 + 343*u^19 - 32*u^20 + 26*u^21 + u^23" ], "Multiplicity":1, "ij_list":[ [ "{3, 8}", "{4, 7}", "{4, 8}", "{5, 7}" ], [ "{3, 4}", "{4, 5}", "{7, 8}" ], [ "{3, 7}", "{5, 8}" ], [ "{3, 5}" ], [ "{7, 9}" ], [ "{1, 5}", "{2, 5}", "{6, 10}", "{7, 10}" ], [ "{3, 9}" ], [ "{1, 10}", "{8, 9}" ], [ "{4, 9}" ], [ "{6, 8}" ], [ "{2, 9}", "{2, 10}" ], [ "{1, 7}", "{4, 10}" ], [ "{1, 3}", "{1, 8}", "{1, 9}", "{3, 10}" ], [ "{2, 6}", "{3, 6}", "{5, 9}", "{6, 9}" ], [ "{2, 4}" ], [ "{1, 6}" ], [ "{2, 8}" ], [ "{1, 2}", "{6, 7}" ], [ "{4, 6}" ], [ "{2, 3}", "{5, 6}" ], [ "{1, 4}", "{8, 10}" ], [ "{2, 7}", "{5, 10}" ], [ "{9, 10}" ] ], "SortedReprnIndices":"{20, 21, 3, 4, 18, 19, 2, 1, 9, 10, 13, 14, 23, 22, 6, 5, 8, 7, 12, 11, 17, 16, 15}", "aCuspShapeN":[ "-0.8833085272964889658`4.374163639020241 + 5.2034922051810653882`5.144346124290948*I", "-0.8833085272964889658`4.374163639020241 - 5.2034922051810653882`5.144346124290948*I", "1.2229941126583158968`4.30123930365763 - 8.5567496297123703322`5.146123761985123*I", "1.2229941126583158968`4.30123930365763 + 8.5567496297123703322`5.146123761985123*I", "2.4620747098630002607`4.772020431990858 - 5.3459593229841994186`5.108744854763975*I", "2.4620747098630002607`4.772020431990858 + 5.3459593229841994186`5.108744854763975*I", "0.2501639852321554492`4.211646676682073 + 2.1587202064163924833`5.147618246573133*I", "0.2501639852321554492`4.211646676682073 - 2.1587202064163924833`5.147618246573133*I", "-4.0689926717067149075`4.808668528190354 - 7.9602370778645212688`5.100107622925196*I", "-4.0689926717067149075`4.808668528190354 + 7.9602370778645212688`5.100107622925196*I", "-5.8737597398382479462`5.148970612834676 - 0.4962373598420473319`4.075743892221272*I", "-5.8737597398382479462`5.148970612834676 + 0.4962373598420473319`4.075743892221272*I", "-6.4058415336554519193`5.148539394171847 - 0.6124032614735394522`4.129000698148351*I", "-6.4058415336554519193`5.148539394171847 + 0.6124032614735394522`4.129000698148351*I", 7.9559, "-4.0028698971814661142`5.1479954095231415 - 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4*u^2 - 8*u^3 - 2*u^4 + 24*u^5 + 58*u^6 + 94*u^7 + 109*u^8 + 104*u^9 + 78*u^10 + 52*u^11 + 25*u^12 + 12*u^13 + 3*u^14 + u^15" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.100464, "TimingZeroDimVars":9.834799999999999e-2, "TimingmagmaVCompNormalize":9.9597e-2, "TimingNumberOfSols":0.229255, "TimingIsRadical":2.9188000000000002e-2, "TimingArcColoring":8.414500000000001e-2, "TimingObstruction":6.4816e-2, "TimingComplexVolumeN":2.6121308e1, "TimingaCuspShapeN":0.182823, "TiminguValues":0.671412, "TiminguPolysN":5.6095e-2, "TiminguPolys":2.225927, "TimingaCuspShape":0.183804, "TimingRepresentationsN":0.245405, "TiminguValues_ij":0.204251, "TiminguPolys_ij_N":0.186674 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":30, "IsRadical":true, "ArcColoring":[ [ "a", "-1 - u + a*u + 4*u^2 + 12*u^3 + 26*u^4 + 42*u^5 + 62*u^6 + 72*u^7 + 73*u^8 + 59*u^9 + 42*u^10 + 22*u^11 + 11*u^12 + 3*u^13 + u^14" ], [ "-1 + a - 2*u + a*u + 2*u^2 + 2*a*u^2 + 13*u^3 + 2*a*u^3 + 41*u^4 + 3*a*u^4 + 71*u^5 + a*u^5 + 102*u^6 + a*u^6 + 112*u^7 + 105*u^8 + 78*u^9 + 52*u^10 + 25*u^11 + 12*u^12 + 3*u^13 + u^14", "-1 + a*u + 6*u^2 + 12*u^3 - 2*a*u^3 + 13*u^4 - 4*a*u^4 + 12*u^5 - 3*a*u^5 + 7*u^6 - 4*a*u^6 + 3*u^7 - a*u^7 + u^8 - a*u^8" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-2*u^2 - u^4" ], [ "-2 - a - 7*u - a*u - 9*u^2 + 5*a*u^2 - 3*u^3 + 14*a*u^3 + 24*u^4 + 23*a*u^4 + 58*u^5 + 27*a*u^5 + 94*u^6 + 24*a*u^6 + 109*u^7 + 16*a*u^7 + 104*u^8 + 9*a*u^8 + 78*u^9 + 3*a*u^9 + 52*u^10 + a*u^10 + 25*u^11 + 12*u^12 + 3*u^13 + u^14", "1 + 2*u + a*u + u^2 + 2*a*u^2 + u^3 - a*u^3 - 15*a*u^4 - 29*a*u^5 - 40*a*u^6 - 40*a*u^7 - 32*a*u^8 - 19*a*u^9 - 10*a*u^10 - 3*a*u^11 - a*u^12" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "-1 - a - 4*u - a*u - 8*u^2 + 4*a*u^2 - 2*u^3 + 12*a*u^3 + 24*u^4 + 26*a*u^4 + 58*u^5 + 42*a*u^5 + 94*u^6 + 62*a*u^6 + 109*u^7 + 72*a*u^7 + 104*u^8 + 73*a*u^8 + 78*u^9 + 59*a*u^9 + 52*u^10 + 42*a*u^10 + 25*u^11 + 22*a*u^11 + 12*u^12 + 11*a*u^12 + 3*u^13 + 3*a*u^13 + u^14 + a*u^14", -1 ], [ "-1 + a - u + a*u + 4*u^2 + 12*u^3 + 26*u^4 + 42*u^5 + 62*u^6 + 72*u^7 + 73*u^8 + 59*u^9 + 42*u^10 + 22*u^11 + 11*u^12 + 3*u^13 + u^14", "-1 - u + a*u + 4*u^2 + 12*u^3 + 26*u^4 + 42*u^5 + 62*u^6 + 72*u^7 + 73*u^8 + 59*u^9 + 42*u^10 + 22*u^11 + 11*u^12 + 3*u^13 + u^14" ] ], "Obstruction":-1, "ComplexVolumeN":[ "1.13071 - 2.72262*I", "1.13071 - 2.72262*I", "1.13071 + 2.72262*I", "1.13071 + 2.72262*I", "-1.82383 - 2.53738*I", "-1.82383 - 2.53738*I", "-1.82383 + 2.53738*I", "-1.82383 + 2.53738*I", "-1.31377 - 3.39671*I", "-1.31377 - 3.39671*I", "-1.31377 + 3.39671*I", "-1.31377 + 3.39671*I", 1.01641, 1.01641, "-3.32174 + 5.5955*I", "-3.32174 + 5.5955*I", "-3.32174 - 5.5955*I", "-3.32174 - 5.5955*I", "-8.32063 - 5.47678*I", "-8.32063 - 5.47678*I", "-8.32063 + 5.47678*I", "-8.32063 + 5.47678*I", "-5.55973 - 6.84757*I", "-5.55973 - 6.84757*I", "-5.55973 + 6.84757*I", "-5.55973 + 6.84757*I", "1.42898 + 3.9296*I", "1.42898 + 3.9296*I", "1.42898 - 3.9296*I", "1.42898 - 3.9296*I" ], "uPolysN":[ "1 + 16*u + 82*u^2 + 100*u^3 - 284*u^4 - 448*u^5 + 982*u^6 + 1070*u^7 - 2390*u^8 - 1876*u^9 + 3658*u^10 + 1542*u^11 - 3554*u^12 - 936*u^13 + 3002*u^14 + 290*u^15 - 1532*u^16 - 357*u^17 + 885*u^18 + u^19 - 407*u^20 - 25*u^21 + 149*u^22 - 7*u^23 - 25*u^24 + 20*u^26 + 2*u^27 + 2*u^28 + u^29 + u^30", "-1 - 6*u + 6*u^2 + 6*u^3 - 16*u^4 + 4*u^5 - 10*u^6 - 58*u^7 - 130*u^8 - 132*u^9 - 104*u^10 - 208*u^11 - 302*u^12 - 280*u^13 - 114*u^14 - 168*u^15 - 194*u^16 - 185*u^17 + u^18 - 33*u^19 - 21*u^20 - 9*u^21 + 67*u^22 + 25*u^23 + 29*u^24 + 14*u^25 + 16*u^26 + 4*u^27 + 4*u^28 + u^29 + u^30", "1 - 8*u^2 + 16*u^3 + 12*u^4 - 112*u^5 + 196*u^6 - 28*u^7 - 626*u^8 + 1568*u^9 - 1876*u^10 + 64*u^11 + 5202*u^12 - 14080*u^13 + 25134*u^14 - 35598*u^15 + 42661*u^16 - 44464*u^17 + 41044*u^18 - 33792*u^19 + 25002*u^20 - 16608*u^21 + 9942*u^22 - 5314*u^23 + 2549*u^24 - 1068*u^25 + 398*u^26 - 122*u^27 + 33*u^28 - 6*u^29 + u^30", "1 - 8*u^2 + 16*u^3 + 12*u^4 - 112*u^5 + 196*u^6 - 28*u^7 - 626*u^8 + 1568*u^9 - 1876*u^10 + 64*u^11 + 5202*u^12 - 14080*u^13 + 25134*u^14 - 35598*u^15 + 42661*u^16 - 44464*u^17 + 41044*u^18 - 33792*u^19 + 25002*u^20 - 16608*u^21 + 9942*u^22 - 5314*u^23 + 2549*u^24 - 1068*u^25 + 398*u^26 - 122*u^27 + 33*u^28 - 6*u^29 + u^30", "-1 - 6*u + 6*u^2 + 6*u^3 - 16*u^4 + 4*u^5 - 10*u^6 - 58*u^7 - 130*u^8 - 132*u^9 - 104*u^10 - 208*u^11 - 302*u^12 - 280*u^13 - 114*u^14 - 168*u^15 - 194*u^16 - 185*u^17 + u^18 - 33*u^19 - 21*u^20 - 9*u^21 + 67*u^22 + 25*u^23 + 29*u^24 + 14*u^25 + 16*u^26 + 4*u^27 + 4*u^28 + u^29 + u^30", "1 + 16*u + 82*u^2 + 100*u^3 - 284*u^4 - 448*u^5 + 982*u^6 + 1070*u^7 - 2390*u^8 - 1876*u^9 + 3658*u^10 + 1542*u^11 - 3554*u^12 - 936*u^13 + 3002*u^14 + 290*u^15 - 1532*u^16 - 357*u^17 + 885*u^18 + u^19 - 407*u^20 - 25*u^21 + 149*u^22 - 7*u^23 - 25*u^24 + 20*u^26 + 2*u^27 + 2*u^28 + u^29 + u^30", "1 - 8*u^2 + 16*u^3 + 12*u^4 - 112*u^5 + 196*u^6 - 28*u^7 - 626*u^8 + 1568*u^9 - 1876*u^10 + 64*u^11 + 5202*u^12 - 14080*u^13 + 25134*u^14 - 35598*u^15 + 42661*u^16 - 44464*u^17 + 41044*u^18 - 33792*u^19 + 25002*u^20 - 16608*u^21 + 9942*u^22 - 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284*u^4 - 448*u^5 + 982*u^6 + 1070*u^7 - 2390*u^8 - 1876*u^9 + 3658*u^10 + 1542*u^11 - 3554*u^12 - 936*u^13 + 3002*u^14 + 290*u^15 - 1532*u^16 - 357*u^17 + 885*u^18 + u^19 - 407*u^20 - 25*u^21 + 149*u^22 - 7*u^23 - 25*u^24 + 20*u^26 + 2*u^27 + 2*u^28 + u^29 + u^30", "-1 - 6*u + 6*u^2 + 6*u^3 - 16*u^4 + 4*u^5 - 10*u^6 - 58*u^7 - 130*u^8 - 132*u^9 - 104*u^10 - 208*u^11 - 302*u^12 - 280*u^13 - 114*u^14 - 168*u^15 - 194*u^16 - 185*u^17 + u^18 - 33*u^19 - 21*u^20 - 9*u^21 + 67*u^22 + 25*u^23 + 29*u^24 + 14*u^25 + 16*u^26 + 4*u^27 + 4*u^28 + u^29 + u^30", "(-1 + 4*u^2 - 8*u^3 + 2*u^4 + 24*u^5 - 58*u^6 + 94*u^7 - 109*u^8 + 104*u^9 - 78*u^10 + 52*u^11 - 25*u^12 + 12*u^13 - 3*u^14 + u^15)^2", "(-1 + 4*u^2 - 8*u^3 + 2*u^4 + 24*u^5 - 58*u^6 + 94*u^7 - 109*u^8 + 104*u^9 - 78*u^10 + 52*u^11 - 25*u^12 + 12*u^13 - 3*u^14 + u^15)^2", "-1 - 6*u + 6*u^2 + 6*u^3 - 16*u^4 + 4*u^5 - 10*u^6 - 58*u^7 - 130*u^8 - 132*u^9 - 104*u^10 - 208*u^11 - 302*u^12 - 280*u^13 - 114*u^14 - 168*u^15 - 194*u^16 - 185*u^17 + u^18 - 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3*u^7", "RepresentationsN":[ [ "u->-0.768546 + 0.720795 I", "a->0.216551 + 0.549851 I", "b->-0.562759 - 0.266496 I" ], [ "u->-0.768546 - 0.720795 I", "a->0.216551 - 0.549851 I", "b->-0.562759 + 0.266496 I" ], [ "u->0.024235 + 1.2745 I", "a->0.986575 - 0.224172 I", "b->0.309617 + 1.25196 I" ], [ "u->0.024235 - 1.2745 I", "a->0.986575 + 0.224172 I", "b->0.309617 - 1.25196 I" ], [ "u->-0.0571 + 0.488588 I", "a->-1.72754 + 0.48541 I", "b->-0.138522 - 0.871772 I" ], [ "u->-0.0571 - 0.488588 I", "a->-1.72754 - 0.48541 I", "b->-0.138522 + 0.871772 I" ], [ "u->-0.19859 + 1.50044 I", "a->-0.475588 + 0.801618 I", "b->-1.10834 - 0.872786 I" ], [ "u->-0.19859 - 1.50044 I", "a->-0.475588 - 0.801618 I", "b->-1.10834 + 0.872786 I" ] ], "Epsilon":1.46301, "uPolys_ij":[ "u^8", "1 + 2*u + 7*u^2 + 9*u^3 + 11*u^4 + 8*u^5 + 6*u^6 + 2*u^7 + u^8", "1 - 10*u + 35*u^2 - 53*u^3 + 55*u^4 - 46*u^5 + 26*u^6 - 8*u^7 + u^8", "1 + 9*u^2 - 2*u^3 + 15*u^4 - 6*u^5 + 7*u^6 - 2*u^7 + u^8", "1 + u + 2*u^2 + u^3 + 2*u^4 + u^5 + 2*u^6 + u^8", "1 - 8*u + 25*u^2 - 39*u^3 + 35*u^4 - 24*u^5 + 14*u^6 - 4*u^7 + u^8", "5 + 9*u + 7*u^2 + 6*u^3 + 7*u^4 + 3*u^5 + u^6 + 2*u^7 + u^8", "1 + 4*u + 8*u^2 + 11*u^3 + 12*u^4 + 9*u^5 + 6*u^6 + 3*u^7 + u^8", "1 - 5*u + 12*u^2 - 18*u^3 + 22*u^4 - 20*u^5 + 13*u^6 - 5*u^7 + u^8", "1 - 4*u + 8*u^2 - 11*u^3 + 12*u^4 - 9*u^5 + 6*u^6 - 3*u^7 + u^8", "1 - 4*u + 9*u^2 - 15*u^3 + 16*u^4 - 12*u^5 + 7*u^6 - 2*u^7 + u^8", "1 + 11*u^3 + 20*u^4 + 13*u^5 + 6*u^6 + 3*u^7 + u^8", "1 - 11*u^3 + 20*u^4 - 13*u^5 + 6*u^6 - 3*u^7 + u^8", "1 - 3*u^2 - u^3 + 5*u^4 + 2*u^5 - 3*u^6 - u^7 + u^8", "5 + 22*u + 27*u^2 + 16*u^3 + 32*u^4 - 2*u^5 + 10*u^6 - 2*u^7 + u^8", "1 + 3*u + 6*u^2 + 9*u^3 + 12*u^4 + 11*u^5 + 8*u^6 + 4*u^7 + u^8", "5 + 4*u + 29*u^2 + 7*u^3 + 27*u^4 - 7*u^5 + 8*u^6 - u^7 + u^8", "1 + u + 8*u^2 - 30*u^3 + 28*u^4 - 16*u^5 + 13*u^6 - u^7 + u^8", "1 + 5*u + 7*u^2 - u^3 + 17*u^4 + 4*u^5 - 8*u^6 - u^7 + u^8", "1 - 4*u + 8*u^2 - 10*u^3 + 9*u^4 - 5*u^5 + 2*u^6 - u^7 + u^8", "41 - 30*u - 20*u^2 + 9*u^3 + 83*u^4 - 95*u^5 + 44*u^6 - 10*u^7 + u^8", "1 + 2*u^2 - u^3 + 2*u^4 - u^5 + 2*u^6 - u^7 + u^8", "11 + 4*u - 15*u^2 - 9*u^3 + 2*u^4 + 8*u^5 + 4*u^6 - 5*u^7 + u^8" ], "GeometricComponent":0, "uPolys_ij_N":[ "u^8", "1 + 2*u + 7*u^2 + 9*u^3 + 11*u^4 + 8*u^5 + 6*u^6 + 2*u^7 + u^8", "1 - 10*u + 35*u^2 - 53*u^3 + 55*u^4 - 46*u^5 + 26*u^6 - 8*u^7 + u^8", "1 + 9*u^2 - 2*u^3 + 15*u^4 - 6*u^5 + 7*u^6 - 2*u^7 + u^8", "1 + u + 2*u^2 + u^3 + 2*u^4 + u^5 + 2*u^6 + u^8", "1 - 8*u + 25*u^2 - 39*u^3 + 35*u^4 - 24*u^5 + 14*u^6 - 4*u^7 + u^8", "5 + 9*u + 7*u^2 + 6*u^3 + 7*u^4 + 3*u^5 + u^6 + 2*u^7 + u^8", "1 + 4*u + 8*u^2 + 11*u^3 + 12*u^4 + 9*u^5 + 6*u^6 + 3*u^7 + u^8", "1 - 5*u + 12*u^2 - 18*u^3 + 22*u^4 - 20*u^5 + 13*u^6 - 5*u^7 + u^8", "1 - 4*u + 8*u^2 - 11*u^3 + 12*u^4 - 9*u^5 + 6*u^6 - 3*u^7 + u^8", "1 - 4*u + 9*u^2 - 15*u^3 + 16*u^4 - 12*u^5 + 7*u^6 - 2*u^7 + u^8", "1 + 11*u^3 + 20*u^4 + 13*u^5 + 6*u^6 + 3*u^7 + u^8", "1 - 11*u^3 + 20*u^4 - 13*u^5 + 6*u^6 - 3*u^7 + u^8", "1 - 3*u^2 - u^3 + 5*u^4 + 2*u^5 - 3*u^6 - u^7 + u^8", "5 + 22*u + 27*u^2 + 16*u^3 + 32*u^4 - 2*u^5 + 10*u^6 - 2*u^7 + u^8", "1 + 3*u + 6*u^2 + 9*u^3 + 12*u^4 + 11*u^5 + 8*u^6 + 4*u^7 + u^8", "5 + 4*u + 29*u^2 + 7*u^3 + 27*u^4 - 7*u^5 + 8*u^6 - u^7 + u^8", "1 + u + 8*u^2 - 30*u^3 + 28*u^4 - 16*u^5 + 13*u^6 - u^7 + u^8", "1 + 5*u + 7*u^2 - u^3 + 17*u^4 + 4*u^5 - 8*u^6 - u^7 + u^8", "1 - 4*u + 8*u^2 - 10*u^3 + 9*u^4 - 5*u^5 + 2*u^6 - u^7 + u^8", "41 - 30*u - 20*u^2 + 9*u^3 + 83*u^4 - 95*u^5 + 44*u^6 - 10*u^7 + u^8", "1 + 2*u^2 - u^3 + 2*u^4 - u^5 + 2*u^6 - u^7 + u^8", "11 + 4*u - 15*u^2 - 9*u^3 + 2*u^4 + 8*u^5 + 4*u^6 - 5*u^7 + u^8" ], "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2}", 2.83701 ], "ij_list":[ [ "{1, 6}" ], [ "{3, 8}", "{4, 7}", "{4, 8}", "{5, 7}" ], [ "{3, 4}", "{4, 5}", "{7, 8}" ], [ "{3, 7}", "{5, 8}" ], [ "{2, 6}", "{3, 6}", "{5, 9}", "{6, 8}", "{6, 9}" ], [ "{3, 5}" ], [ "{4, 6}" ], [ "{1, 8}", "{1, 9}", "{3, 10}" ], [ "{2, 9}", "{2, 10}" ], [ "{1, 2}", "{1, 3}", "{6, 7}" ], [ "{2, 8}" ], [ "{8, 9}" ], [ "{1, 10}" ], [ "{3, 9}" ], [ "{7, 9}" ], [ "{2, 3}", "{5, 6}" ], [ "{1, 4}", "{8, 10}" ], [ "{9, 10}" ], [ "{1, 7}", "{4, 10}" ], [ "{2, 7}", "{5, 10}" ], [ "{4, 9}" ], [ "{1, 5}", "{2, 5}", "{6, 10}", "{7, 10}" ], [ "{2, 4}" ] ], "SortedReprnIndices":"{8, 7, 3, 4, 6, 5, 2, 1}", "aCuspShapeN":[ "-5.2115882493881537479`4.794864940682527 + 10.6091220271005143464`5.103574289213266*I", "-5.2115882493881537479`4.794864940682527 - 10.6091220271005143464`5.103574289213266*I", "-0.8789568659145332885`4.250677787182864 - 6.9236169917248929243`5.147043259317828*I", "-0.8789568659145332885`4.250677787182864 + 6.9236169917248929243`5.147043259317828*I", "0.652249291580667004`4.184629667294395 + 5.9943636625446221505`5.1479591381488925*I", "0.652249291580667004`4.184629667294395 - 5.9943636625446221505`5.1479591381488925*I", "-2.061704176277979967`4.726633173583588 + 5.068227732580903506`5.1172629438973045*I", "-2.061704176277979967`4.726633173583588 - 5.068227732580903506`5.1172629438973045*I" ], "Abelian":false }, { "IdealName":"J10_114_3", "Generators":[ "a", "1 + b", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "ZeroDimensionalVars":[ "b", "a", "v" ], "Timings":{ "TimingZeroDimVars":7.1063e-2, "TimingmagmaVCompNormalize":0.166965, "TimingNumberOfSols":3.0327000000000003e-2, "TimingIsRadical":2.056e-3, "TimingArcColoring":7.1249e-2, "TimingObstruction":3.8e-4, "TimingComplexVolumeN":0.494533, "TimingaCuspShapeN":4.9749999999999985e-3, "TiminguValues":0.611656, "TiminguPolysN":8.6e-5, "TiminguPolys":0.762335, "TimingaCuspShape":8.6853e-2, "TimingRepresentationsN":2.6407e-2, "TiminguValues_ij":0.157058, "TiminguPoly_ij":0.369498, "TiminguPolys_ij_N":6.900000000000002e-5 }, "Legacy":{ "IdealName":"J10_114_3", "Generators":[ "1 + b", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "MonomialOrder":"lex" }, "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{0, -1}", "{-1, -1}", "{1, 0}", "{1, 0}", "{1, 0}", "{2, 1}", "{1, 0}", "{1, 0}", "{1, 1}", "{-1, -1}" ], "Obstruction":-1, "ComplexVolumeN":[ -1.64493 ], "uPolysN":[ "1 + u", "1 + u", "u", "u", "1 + u", "1 + u", "u", "1 + u", "u", "1 + u" ], "uPolys":[ "1 + u", "1 + u", "u", "u", "1 + u", "1 + u", "u", "1 + u", "u", "1 + u" ], "aCuspShape":-6, "RepresentationsN":[ [ "v->1.", "a->0", "b->-1." ] ], "Epsilon":"Infinity", "uPolys_ij":[ "2 + u", "1 + u", "u", "-1 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "2 + u", "1 + u", "u", "-1 + u" ], "Multiplicity":1, "ij_list":[ [ "{1, 6}" ], [ "{1, 3}", "{1, 4}", "{1, 5}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{3, 6}", "{3, 9}", "{3, 10}", "{4, 6}", "{4, 9}", "{4, 10}", "{5, 6}", "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{2, 9}", "{2, 10}", "{3, 4}", "{3, 5}", "{3, 7}", "{3, 8}", "{4, 5}", "{4, 7}", "{4, 8}", "{5, 7}", "{5, 8}", "{7, 8}", "{9, 10}" ], [ "{1, 2}", "{6, 7}", "{6, 8}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":[ -6.0 ], "Abelian":false }, { "IdealName":"abJ10_114_4", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.8536e-2, "TimingZeroDimVars":7.1349e-2, "TimingmagmaVCompNormalize":7.2653e-2, "TimingNumberOfSols":3.011e-2, "TimingIsRadical":1.98e-3, "TimingArcColoring":6.629e-2, "TimingObstruction":3.830000000000001e-4, "TimingComplexVolumeN":0.36061, "TimingaCuspShapeN":4.702000000000001e-3, "TiminguValues":0.640975, "TiminguPolysN":6.7e-5, "TiminguPolys":0.809559, "TimingaCuspShape":8.7345e-2, "TimingRepresentationsN":2.5921e-2, "TiminguValues_ij":0.156887, "TiminguPoly_ij":0.151636, "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)*(1 + 2*u^2 - u^3 + 2*u^4 - u^5 + 2*u^6 - u^7 + u^8)*(-1 - 2*u - 8*u^2 - 5*u^3 - 18*u^4 + 11*u^5 - 14*u^6 + 43*u^7 - 4*u^8 + 46*u^9 + 22*u^10 + 39*u^11 - 7*u^12 + 29*u^13 - 19*u^14 + 41*u^15 - 25*u^16 + 18*u^17 - 13*u^18 + 12*u^19 - 4*u^20 + 3*u^21 - 2*u^22 + u^23)*(1 + 16*u + 82*u^2 + 100*u^3 - 284*u^4 - 448*u^5 + 982*u^6 + 1070*u^7 - 2390*u^8 - 1876*u^9 + 3658*u^10 + 1542*u^11 - 3554*u^12 - 936*u^13 + 3002*u^14 + 290*u^15 - 1532*u^16 - 357*u^17 + 885*u^18 + u^19 - 407*u^20 - 25*u^21 + 149*u^22 - 7*u^23 - 25*u^24 + 20*u^26 + 2*u^27 + 2*u^28 + u^29 + u^30)", "(1 + u)*(1 + u + 2*u^2 + u^3 + 2*u^4 + u^5 + 2*u^6 + u^8)*(-1 - u + 12*u^2 + 11*u^3 - 58*u^4 - 47*u^5 + 152*u^6 + 108*u^7 - 234*u^8 - 149*u^9 + 208*u^10 + 151*u^11 - 95*u^12 - 136*u^13 + 19*u^14 + 95*u^15 + 2*u^16 - 44*u^17 - 9*u^18 + 19*u^19 + 2*u^20 - 4*u^21 - u^22 + u^23)*(-1 - 6*u + 6*u^2 + 6*u^3 - 16*u^4 + 4*u^5 - 10*u^6 - 58*u^7 - 130*u^8 - 132*u^9 - 104*u^10 - 208*u^11 - 302*u^12 - 280*u^13 - 114*u^14 - 168*u^15 - 194*u^16 - 185*u^17 + u^18 - 33*u^19 - 21*u^20 - 9*u^21 + 67*u^22 + 25*u^23 + 29*u^24 + 14*u^25 + 16*u^26 + 4*u^27 + 4*u^28 + u^29 + u^30)", "u*(1 + 2*u + 7*u^2 + 9*u^3 + 11*u^4 + 8*u^5 + 6*u^6 + 2*u^7 + u^8)*(-1 + 4*u^2 - 8*u^3 + 2*u^4 + 24*u^5 - 58*u^6 + 94*u^7 - 109*u^8 + 104*u^9 - 78*u^10 + 52*u^11 - 25*u^12 + 12*u^13 - 3*u^14 + u^15)^2*(-7 - 46*u - 137*u^2 - 223*u^3 - 163*u^4 + 192*u^5 + 908*u^6 + 1942*u^7 + 3108*u^8 + 4196*u^9 + 4979*u^10 + 5321*u^11 + 5140*u^12 + 4520*u^13 + 3588*u^14 + 2578*u^15 + 1651*u^16 + 948*u^17 + 472*u^18 + 209*u^19 + 75*u^20 + 24*u^21 + 5*u^22 + u^23)", "u*(1 + 2*u + 7*u^2 + 9*u^3 + 11*u^4 + 8*u^5 + 6*u^6 + 2*u^7 + u^8)*(-1 + 4*u^2 - 8*u^3 + 2*u^4 + 24*u^5 - 58*u^6 + 94*u^7 - 109*u^8 + 104*u^9 - 78*u^10 + 52*u^11 - 25*u^12 + 12*u^13 - 3*u^14 + u^15)^2*(-7 - 46*u - 137*u^2 - 223*u^3 - 163*u^4 + 192*u^5 + 908*u^6 + 1942*u^7 + 3108*u^8 + 4196*u^9 + 4979*u^10 + 5321*u^11 + 5140*u^12 + 4520*u^13 + 3588*u^14 + 2578*u^15 + 1651*u^16 + 948*u^17 + 472*u^18 + 209*u^19 + 75*u^20 + 24*u^21 + 5*u^22 + u^23)", "(1 + u)*(1 + u + 2*u^2 + u^3 + 2*u^4 + u^5 + 2*u^6 + u^8)*(-1 - u + 12*u^2 + 11*u^3 - 58*u^4 - 47*u^5 + 152*u^6 + 108*u^7 - 234*u^8 - 149*u^9 + 208*u^10 + 151*u^11 - 95*u^12 - 136*u^13 + 19*u^14 + 95*u^15 + 2*u^16 - 44*u^17 - 9*u^18 + 19*u^19 + 2*u^20 - 4*u^21 - u^22 + u^23)*(-1 - 6*u + 6*u^2 + 6*u^3 - 16*u^4 + 4*u^5 - 10*u^6 - 58*u^7 - 130*u^8 - 132*u^9 - 104*u^10 - 208*u^11 - 302*u^12 - 280*u^13 - 114*u^14 - 168*u^15 - 194*u^16 - 185*u^17 + u^18 - 33*u^19 - 21*u^20 - 9*u^21 + 67*u^22 + 25*u^23 + 29*u^24 + 14*u^25 + 16*u^26 + 4*u^27 + 4*u^28 + u^29 + u^30)", "(1 + u)*(1 + 2*u^2 - u^3 + 2*u^4 - u^5 + 2*u^6 - u^7 + u^8)*(-1 - 2*u - 8*u^2 - 5*u^3 - 18*u^4 + 11*u^5 - 14*u^6 + 43*u^7 - 4*u^8 + 46*u^9 + 22*u^10 + 39*u^11 - 7*u^12 + 29*u^13 - 19*u^14 + 41*u^15 - 25*u^16 + 18*u^17 - 13*u^18 + 12*u^19 - 4*u^20 + 3*u^21 - 2*u^22 + u^23)*(1 + 16*u + 82*u^2 + 100*u^3 - 284*u^4 - 448*u^5 + 982*u^6 + 1070*u^7 - 2390*u^8 - 1876*u^9 + 3658*u^10 + 1542*u^11 - 3554*u^12 - 936*u^13 + 3002*u^14 + 290*u^15 - 1532*u^16 - 357*u^17 + 885*u^18 + u^19 - 407*u^20 - 25*u^21 + 149*u^22 - 7*u^23 - 25*u^24 + 20*u^26 + 2*u^27 + 2*u^28 + u^29 + u^30)", "u*(1 - 2*u + 7*u^2 - 9*u^3 + 11*u^4 - 8*u^5 + 6*u^6 - 2*u^7 + u^8)*(-1 + 4*u^2 - 8*u^3 + 2*u^4 + 24*u^5 - 58*u^6 + 94*u^7 - 109*u^8 + 104*u^9 - 78*u^10 + 52*u^11 - 25*u^12 + 12*u^13 - 3*u^14 + u^15)^2*(-7 - 46*u - 137*u^2 - 223*u^3 - 163*u^4 + 192*u^5 + 908*u^6 + 1942*u^7 + 3108*u^8 + 4196*u^9 + 4979*u^10 + 5321*u^11 + 5140*u^12 + 4520*u^13 + 3588*u^14 + 2578*u^15 + 1651*u^16 + 948*u^17 + 472*u^18 + 209*u^19 + 75*u^20 + 24*u^21 + 5*u^22 + u^23)", "(1 + u)*(1 - 4*u + 8*u^2 - 11*u^3 + 12*u^4 - 9*u^5 + 6*u^6 - 3*u^7 + u^8)*(-1 + 14*u - 64*u^2 + 73*u^3 + 164*u^4 - 339*u^5 - 26*u^6 + 605*u^7 - 410*u^8 - 668*u^9 + 792*u^10 + 569*u^11 - 815*u^12 - 403*u^13 + 547*u^14 + 233*u^15 - 251*u^16 - 102*u^17 + 81*u^18 + 34*u^19 - 16*u^20 - 7*u^21 + 2*u^22 + u^23)*(-11 - 6*u + 88*u^2 + 2*u^3 - 160*u^4 - 254*u^5 + 492*u^6 + 250*u^7 - 78*u^8 - 1002*u^9 + 372*u^10 + 262*u^11 + 938*u^12 - 1106*u^13 + 206*u^14 - 530*u^15 + 830*u^16 - 385*u^17 + 291*u^18 - 355*u^19 + 249*u^20 - 139*u^21 + 53*u^22 - 43*u^23 + 59*u^24 - 20*u^25 - 2*u^26 - 2*u^27 + 2*u^28 - u^29 + u^30)", "u*(1 + 5*u + 12*u^2 + 18*u^3 + 22*u^4 + 20*u^5 + 13*u^6 + 5*u^7 + u^8)*(-1 + 4*u^2 - 4*u^3 - 6*u^4 + 16*u^5 - 6*u^6 - 18*u^7 + 27*u^8 - 42*u^10 + 62*u^11 - 49*u^12 + 24*u^13 - 7*u^14 + u^15)^2*(-7 - 43*u - 116*u^2 - 234*u^3 - 624*u^4 - 1734*u^5 - 3321*u^6 - 3523*u^7 - 78*u^8 + 6867*u^9 + 14166*u^10 + 18688*u^11 + 20059*u^12 + 19757*u^13 + 18556*u^14 + 16019*u^15 + 11994*u^16 + 7460*u^17 + 3747*u^18 + 1483*u^19 + 448*u^20 + 98*u^21 + 14*u^22 + u^23)", "(1 + u)*(1 - 4*u + 8*u^2 - 11*u^3 + 12*u^4 - 9*u^5 + 6*u^6 - 3*u^7 + u^8)*(-1 + 14*u - 64*u^2 + 73*u^3 + 164*u^4 - 339*u^5 - 26*u^6 + 605*u^7 - 410*u^8 - 668*u^9 + 792*u^10 + 569*u^11 - 815*u^12 - 403*u^13 + 547*u^14 + 233*u^15 - 251*u^16 - 102*u^17 + 81*u^18 + 34*u^19 - 16*u^20 - 7*u^21 + 2*u^22 + u^23)*(-11 - 6*u + 88*u^2 + 2*u^3 - 160*u^4 - 254*u^5 + 492*u^6 + 250*u^7 - 78*u^8 - 1002*u^9 + 372*u^10 + 262*u^11 + 938*u^12 - 1106*u^13 + 206*u^14 - 530*u^15 + 830*u^16 - 385*u^17 + 291*u^18 - 355*u^19 + 249*u^20 - 139*u^21 + 53*u^22 - 43*u^23 + 59*u^24 - 20*u^25 - 2*u^26 - 2*u^27 + 2*u^28 - u^29 + u^30)" ], "RileyPolyC":[ "(-1 + y)*(1 + 4*y + 8*y^2 + 11*y^3 + 12*y^4 + 9*y^5 + 6*y^6 + 3*y^7 + y^8)*(-1 - 12*y - 80*y^2 - 335*y^3 - 838*y^4 - 1017*y^5 + 328*y^6 + 2885*y^7 + 4354*y^8 + 4496*y^9 + 4568*y^10 + 6899*y^11 + 7859*y^12 + 7329*y^13 + 4939*y^14 + 3051*y^15 + 1411*y^16 + 730*y^17 + 291*y^18 + 130*y^19 + 40*y^20 + 17*y^21 + 2*y^22 + y^23)*(1 - 92*y + 2956*y^2 - 40276*y^3 + 292284*y^4 - 1297092*y^5 + 4199224*y^6 - 10452800*y^7 + 20978540*y^8 - 34124398*y^9 + 45399346*y^10 - 50758110*y^11 + 48655014*y^12 - 40797728*y^13 + 30326484*y^14 - 20073410*y^15 + 12062772*y^16 - 6646125*y^17 + 3248767*y^18 - 1475541*y^19 + 614871*y^20 - 221815*y^21 + 78325*y^22 - 22593*y^23 + 6825*y^24 - 1140*y^25 + 612*y^26 + 26*y^27 + 40*y^28 + 3*y^29 + y^30)", "(-1 + y)*(1 + 3*y + 6*y^2 + 9*y^3 + 12*y^4 + 11*y^5 + 8*y^6 + 4*y^7 + y^8)*(-1 + 25*y - 282*y^2 + 1911*y^3 - 8730*y^4 + 28547*y^5 - 69162*y^6 + 126846*y^7 - 179020*y^8 + 198141*y^9 - 177358*y^10 + 135121*y^11 - 93763*y^12 + 62642*y^13 - 40745*y^14 + 25053*y^15 - 13900*y^16 + 6706*y^17 - 2755*y^18 + 943*y^19 - 262*y^20 + 58*y^21 - 9*y^22 + y^23)*(1 - 48*y + 140*y^2 - 160*y^3 - 348*y^4 - 1936*y^5 + 3168*y^6 - 640*y^7 + 15360*y^8 - 5118*y^9 + 13654*y^10 - 38986*y^11 - 14866*y^12 - 93476*y^13 - 47776*y^14 - 115646*y^15 - 48024*y^16 - 82173*y^17 - 23269*y^18 - 29657*y^19 - 933*y^20 - 1827*y^21 + 4713*y^22 + 3095*y^23 + 2257*y^24 + 1044*y^25 + 460*y^26 + 142*y^27 + 40*y^28 + 7*y^29 + y^30)", "y*(1 + 10*y + 35*y^2 + 53*y^3 + 55*y^4 + 46*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 8*y - 12*y^2 - 68*y^3 - 142*y^4 + 20*y^5 + 494*y^6 + 858*y^7 + 1051*y^8 + 1260*y^9 + 1238*y^10 + 834*y^11 + 363*y^12 + 98*y^13 + 15*y^14 + y^15)^2*(-49 + 198*y - 535*y^2 + 115*y^3 + 1439*y^4 + 2006*y^5 + 9730*y^6 + 31240*y^7 + 67770*y^8 + 116822*y^9 + 169543*y^10 + 215591*y^11 + 245056*y^12 + 247798*y^13 + 219784*y^14 + 167808*y^15 + 107385*y^16 + 55766*y^17 + 22734*y^18 + 7031*y^19 + 1583*y^20 + 244*y^21 + 23*y^22 + y^23)", "y*(1 + 10*y + 35*y^2 + 53*y^3 + 55*y^4 + 46*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 8*y - 12*y^2 - 68*y^3 - 142*y^4 + 20*y^5 + 494*y^6 + 858*y^7 + 1051*y^8 + 1260*y^9 + 1238*y^10 + 834*y^11 + 363*y^12 + 98*y^13 + 15*y^14 + y^15)^2*(-49 + 198*y - 535*y^2 + 115*y^3 + 1439*y^4 + 2006*y^5 + 9730*y^6 + 31240*y^7 + 67770*y^8 + 116822*y^9 + 169543*y^10 + 215591*y^11 + 245056*y^12 + 247798*y^13 + 219784*y^14 + 167808*y^15 + 107385*y^16 + 55766*y^17 + 22734*y^18 + 7031*y^19 + 1583*y^20 + 244*y^21 + 23*y^22 + y^23)", "(-1 + y)*(1 + 3*y + 6*y^2 + 9*y^3 + 12*y^4 + 11*y^5 + 8*y^6 + 4*y^7 + y^8)*(-1 + 25*y - 282*y^2 + 1911*y^3 - 8730*y^4 + 28547*y^5 - 69162*y^6 + 126846*y^7 - 179020*y^8 + 198141*y^9 - 177358*y^10 + 135121*y^11 - 93763*y^12 + 62642*y^13 - 40745*y^14 + 25053*y^15 - 13900*y^16 + 6706*y^17 - 2755*y^18 + 943*y^19 - 262*y^20 + 58*y^21 - 9*y^22 + y^23)*(1 - 48*y + 140*y^2 - 160*y^3 - 348*y^4 - 1936*y^5 + 3168*y^6 - 640*y^7 + 15360*y^8 - 5118*y^9 + 13654*y^10 - 38986*y^11 - 14866*y^12 - 93476*y^13 - 47776*y^14 - 115646*y^15 - 48024*y^16 - 82173*y^17 - 23269*y^18 - 29657*y^19 - 933*y^20 - 1827*y^21 + 4713*y^22 + 3095*y^23 + 2257*y^24 + 1044*y^25 + 460*y^26 + 142*y^27 + 40*y^28 + 7*y^29 + y^30)", "(-1 + y)*(1 + 4*y + 8*y^2 + 11*y^3 + 12*y^4 + 9*y^5 + 6*y^6 + 3*y^7 + y^8)*(-1 - 12*y - 80*y^2 - 335*y^3 - 838*y^4 - 1017*y^5 + 328*y^6 + 2885*y^7 + 4354*y^8 + 4496*y^9 + 4568*y^10 + 6899*y^11 + 7859*y^12 + 7329*y^13 + 4939*y^14 + 3051*y^15 + 1411*y^16 + 730*y^17 + 291*y^18 + 130*y^19 + 40*y^20 + 17*y^21 + 2*y^22 + y^23)*(1 - 92*y + 2956*y^2 - 40276*y^3 + 292284*y^4 - 1297092*y^5 + 4199224*y^6 - 10452800*y^7 + 20978540*y^8 - 34124398*y^9 + 45399346*y^10 - 50758110*y^11 + 48655014*y^12 - 40797728*y^13 + 30326484*y^14 - 20073410*y^15 + 12062772*y^16 - 6646125*y^17 + 3248767*y^18 - 1475541*y^19 + 614871*y^20 - 221815*y^21 + 78325*y^22 - 22593*y^23 + 6825*y^24 - 1140*y^25 + 612*y^26 + 26*y^27 + 40*y^28 + 3*y^29 + y^30)", "y*(1 + 10*y + 35*y^2 + 53*y^3 + 55*y^4 + 46*y^5 + 26*y^6 + 8*y^7 + y^8)*(-1 + 8*y - 12*y^2 - 68*y^3 - 142*y^4 + 20*y^5 + 494*y^6 + 858*y^7 + 1051*y^8 + 1260*y^9 + 1238*y^10 + 834*y^11 + 363*y^12 + 98*y^13 + 15*y^14 + y^15)^2*(-49 + 198*y - 535*y^2 + 115*y^3 + 1439*y^4 + 2006*y^5 + 9730*y^6 + 31240*y^7 + 67770*y^8 + 116822*y^9 + 169543*y^10 + 215591*y^11 + 245056*y^12 + 247798*y^13 + 219784*y^14 + 167808*y^15 + 107385*y^16 + 55766*y^17 + 22734*y^18 + 7031*y^19 + 1583*y^20 + 244*y^21 + 23*y^22 + y^23)", "(-1 + y)*(1 + 11*y^3 + 20*y^4 + 13*y^5 + 6*y^6 + 3*y^7 + y^8)*(-1 + 68*y - 1724*y^2 + 16777*y^3 - 63598*y^4 + 142179*y^5 - 258236*y^6 + 506397*y^7 - 1036458*y^8 + 1834788*y^9 - 2594184*y^10 + 2915859*y^11 - 2644145*y^12 + 1963993*y^13 - 1208105*y^14 + 619363*y^15 - 265101*y^16 + 94454*y^17 - 27785*y^18 + 6646*y^19 - 1260*y^20 + 181*y^21 - 18*y^22 + y^23)*(121 - 1972*y + 11288*y^2 - 42036*y^3 + 117924*y^4 - 256892*y^5 + 446012*y^6 - 621072*y^7 + 722128*y^8 - 760634*y^9 + 780986*y^10 - 783902*y^11 + 647946*y^12 - 413172*y^13 + 175724*y^14 - 89830*y^15 + 106004*y^16 - 118117*y^17 + 120891*y^18 - 69045*y^19 + 37559*y^20 - 9471*y^21 + 6005*y^22 - 1517*y^23 + 1861*y^24 - 376*y^25 + 180*y^26 + 66*y^27 - 4*y^28 + 3*y^29 + y^30)", "y*(1 - y + 8*y^2 + 30*y^3 + 28*y^4 + 16*y^5 + 13*y^6 + y^7 + y^8)*(-1 + 8*y - 28*y^2 + 52*y^3 - 62*y^4 + 28*y^5 - 50*y^6 + 26*y^7 + 27*y^8 + 124*y^9 - 34*y^10 + 70*y^11 - 13*y^12 + 14*y^13 - y^14 + y^15)^2*(-49 + 225*y - 2068*y^2 + 12618*y^3 - 46450*y^4 + 100578*y^5 - 162207*y^6 + 226251*y^7 - 227748*y^8 + 259041*y^9 - 172852*y^10 + 168040*y^11 - 80659*y^12 + 65287*y^13 - 24284*y^14 + 16269*y^15 - 4888*y^16 + 2838*y^17 - 603*y^18 + 343*y^19 - 32*y^20 + 26*y^21 + y^23)", "(-1 + y)*(1 + 11*y^3 + 20*y^4 + 13*y^5 + 6*y^6 + 3*y^7 + y^8)*(-1 + 68*y - 1724*y^2 + 16777*y^3 - 63598*y^4 + 142179*y^5 - 258236*y^6 + 506397*y^7 - 1036458*y^8 + 1834788*y^9 - 2594184*y^10 + 2915859*y^11 - 2644145*y^12 + 1963993*y^13 - 1208105*y^14 + 619363*y^15 - 265101*y^16 + 94454*y^17 - 27785*y^18 + 6646*y^19 - 1260*y^20 + 181*y^21 - 18*y^22 + y^23)*(121 - 1972*y + 11288*y^2 - 42036*y^3 + 117924*y^4 - 256892*y^5 + 446012*y^6 - 621072*y^7 + 722128*y^8 - 760634*y^9 + 780986*y^10 - 783902*y^11 + 647946*y^12 - 413172*y^13 + 175724*y^14 - 89830*y^15 + 106004*y^16 - 118117*y^17 + 120891*y^18 - 69045*y^19 + 37559*y^20 - 9471*y^21 + 6005*y^22 - 1517*y^23 + 1861*y^24 - 376*y^25 + 180*y^26 + 66*y^27 - 4*y^28 + 3*y^29 + y^30)" ] }, "GeometricRepresentation":[ 1.53049e1, [ "J10_114_0", 1, "{20, 21}" ] ] } }