{ "Index":269, "Name":"11a_20", "RolfsenName":"11a_20", "DTname":"11a_20", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{7, 1, 11, 3, -17, 5, 21, 19, -9, 13, 15}", "Acode":"{4, 1, 6, 2, -9, 3, 11, 10, -5, 7, 8}", "PDcode":[ "{4, 2, 5, 1}", "{8, 4, 9, 3}", "{12, 6, 13, 5}", "{18, 9, 19, 10}", "{20, 14, 21, 13}", "{22, 16, 1, 15}", "{14, 22, 15, 21}", "{16, 20, 17, 19}", "{10, 17, 11, 18}", "{6, 12, 7, 11}", "{2, 8, 3, 7}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{5, 2, 10}", [], [ "{5, 2, 4, 2}", "{2, 4, 1, 2}", "{2, 1, 3, 1}", "{10, -5, 9, 2}", "{5, -9, 6, 1}", "{6, 3, 7, 1}", "{9, 10, 8, 2}", "{1, 8, 11, 2}" ], "{3, 10}", "{7}", 7 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 - u + 2*a*b*u - 2*b^2*u - a^2*b^2*u + 2*a*b^3*u - b^4*u - 2*a*b*u^3 + 3*b^2*u^3 + a^2*b^2*u^3 - 3*a*b^3*u^3 + 2*b^4*u^3 - u^5 + 2*a*b*u^5 - 2*b^2*u^5 - a^2*b^2*u^5 + 2*a*b^3*u^5 - b^4*u^5", "u + b^2*u - a*b^3*u + b^4*u + u^2 - u^3 - b^2*u^3 + a*b^3*u^3 - 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15967*u^45 + 58530*u^46 - 21383*u^47 + 40558*u^48 - 17438*u^49 + 24082*u^50 - 10801*u^51 + 12151*u^52 - 5333*u^53 + 5138*u^54 - 2108*u^55 + 1782*u^56 - 654*u^57 + 490*u^58 - 152*u^59 + 101*u^60 - 24*u^61 + 14*u^62 - 2*u^63 + u^64", "-32 + 64*u - 184*u^2 + 424*u^3 - 468*u^4 + 1607*u^5 + 82*u^6 + 2201*u^7 + 9309*u^8 - 9439*u^9 + 48622*u^10 - 52678*u^11 + 125402*u^12 - 107193*u^13 + 169790*u^14 - 78275*u^15 + 72886*u^16 + 90232*u^17 - 125358*u^18 + 270074*u^19 - 199260*u^20 + 270094*u^21 - 18936*u^22 + 103080*u^23 + 256328*u^24 - 30536*u^25 + 374580*u^26 + 6508*u^27 + 259860*u^28 + 168948*u^29 + 50096*u^30 + 292776*u^31 - 39030*u^32 + 236024*u^33 + 83088*u^34 + 32746*u^35 + 271720*u^36 - 117717*u^37 + 306062*u^38 - 79217*u^39 + 150459*u^40 + 69531*u^41 - 32418*u^42 + 161324*u^43 - 99490*u^44 + 136045*u^45 - 58818*u^46 + 57147*u^47 + 1898*u^48 - 388*u^49 + 28772*u^50 - 17542*u^51 + 25048*u^52 - 13001*u^53 + 12854*u^54 - 5581*u^55 + 4527*u^56 - 1599*u^57 + 1122*u^58 - 306*u^59 + 190*u^60 - 36*u^61 + 20*u^62 - 2*u^63 + u^64", "-1 + 14*u + 49*u^2 + 25*u^3 - 290*u^4 - 829*u^5 - 530*u^6 + 2564*u^7 + 8969*u^8 + 11967*u^9 - 2426*u^10 - 39278*u^11 - 74486*u^12 - 47316*u^13 + 86795*u^14 + 256865*u^15 + 265262*u^16 - 62324*u^17 - 601474*u^18 - 819354*u^19 - 194632*u^20 + 1066562*u^21 + 1805076*u^22 + 818944*u^23 - 1583692*u^24 - 3170334*u^25 - 1707878*u^26 + 2181418*u^27 + 4671686*u^28 + 2444534*u^29 - 3001194*u^30 - 5908762*u^31 - 2418399*u^32 + 4149058*u^33 + 6235233*u^34 + 1161173*u^35 - 5095662*u^36 - 5096009*u^37 + 848558*u^38 + 5085356*u^39 + 2590791*u^40 - 2501493*u^41 - 3389808*u^42 - 21332*u^43 + 2378860*u^44 + 1165830*u^45 - 1098965*u^46 - 1157355*u^47 + 327313*u^48 + 722014*u^49 - 45515*u^50 - 335039*u^51 - 8068*u^52 + 120783*u^53 + 5290*u^54 - 33888*u^55 - 776*u^56 + 7211*u^57 - 159*u^58 - 1099*u^59 + 87*u^60 + 107*u^61 - 15*u^62 - 5*u^63 + u^64", "64 - 464*u - 8072*u^2 - 38913*u^3 - 71449*u^4 + 146979*u^5 + 1371764*u^6 + 4480290*u^7 + 7726388*u^8 + 92944*u^9 - 46810694*u^10 - 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1458*u^6 + 1528*u^7 - 1344*u^8 - 1260*u^9 + 5458*u^10 - 15227*u^11 + 29106*u^12 - 50057*u^13 + 78956*u^14 - 110519*u^15 + 157488*u^16 - 191064*u^17 + 255312*u^18 - 272836*u^19 + 351498*u^20 - 328804*u^21 + 420504*u^22 - 333810*u^23 + 441640*u^24 - 276458*u^25 + 408748*u^26 - 166996*u^27 + 333330*u^28 - 34508*u^29 + 239552*u^30 + 84348*u^31 + 154138*u^32 + 160078*u^33 + 95754*u^34 + 180935*u^35 + 69287*u^36 + 154751*u^37 + 66838*u^38 + 102466*u^39 + 74080*u^40 + 47372*u^41 + 78156*u^42 + 5941*u^43 + 72716*u^44 - 15967*u^45 + 58530*u^46 - 21383*u^47 + 40558*u^48 - 17438*u^49 + 24082*u^50 - 10801*u^51 + 12151*u^52 - 5333*u^53 + 5138*u^54 - 2108*u^55 + 1782*u^56 - 654*u^57 + 490*u^58 - 152*u^59 + 101*u^60 - 24*u^61 + 14*u^62 - 2*u^63 + u^64", "-1 + 14*u + 49*u^2 + 25*u^3 - 290*u^4 - 829*u^5 - 530*u^6 + 2564*u^7 + 8969*u^8 + 11967*u^9 - 2426*u^10 - 39278*u^11 - 74486*u^12 - 47316*u^13 + 86795*u^14 + 256865*u^15 + 265262*u^16 - 62324*u^17 - 601474*u^18 - 819354*u^19 - 194632*u^20 + 1066562*u^21 + 1805076*u^22 + 818944*u^23 - 1583692*u^24 - 3170334*u^25 - 1707878*u^26 + 2181418*u^27 + 4671686*u^28 + 2444534*u^29 - 3001194*u^30 - 5908762*u^31 - 2418399*u^32 + 4149058*u^33 + 6235233*u^34 + 1161173*u^35 - 5095662*u^36 - 5096009*u^37 + 848558*u^38 + 5085356*u^39 + 2590791*u^40 - 2501493*u^41 - 3389808*u^42 - 21332*u^43 + 2378860*u^44 + 1165830*u^45 - 1098965*u^46 - 1157355*u^47 + 327313*u^48 + 722014*u^49 - 45515*u^50 - 335039*u^51 - 8068*u^52 + 120783*u^53 + 5290*u^54 - 33888*u^55 - 776*u^56 + 7211*u^57 - 159*u^58 - 1099*u^59 + 87*u^60 + 107*u^61 - 15*u^62 - 5*u^63 + u^64", "-1 + 14*u + 49*u^2 + 25*u^3 - 290*u^4 - 829*u^5 - 530*u^6 + 2564*u^7 + 8969*u^8 + 11967*u^9 - 2426*u^10 - 39278*u^11 - 74486*u^12 - 47316*u^13 + 86795*u^14 + 256865*u^15 + 265262*u^16 - 62324*u^17 - 601474*u^18 - 819354*u^19 - 194632*u^20 + 1066562*u^21 + 1805076*u^22 + 818944*u^23 - 1583692*u^24 - 3170334*u^25 - 1707878*u^26 + 2181418*u^27 + 4671686*u^28 + 2444534*u^29 - 3001194*u^30 - 5908762*u^31 - 2418399*u^32 + 4149058*u^33 + 6235233*u^34 + 1161173*u^35 - 5095662*u^36 - 5096009*u^37 + 848558*u^38 + 5085356*u^39 + 2590791*u^40 - 2501493*u^41 - 3389808*u^42 - 21332*u^43 + 2378860*u^44 + 1165830*u^45 - 1098965*u^46 - 1157355*u^47 + 327313*u^48 + 722014*u^49 - 45515*u^50 - 335039*u^51 - 8068*u^52 + 120783*u^53 + 5290*u^54 - 33888*u^55 - 776*u^56 + 7211*u^57 - 159*u^58 - 1099*u^59 + 87*u^60 + 107*u^61 - 15*u^62 - 5*u^63 + u^64" ], "uPolys":[ "1 + u - 13*u^2 + 110*u^3 - 439*u^4 + 450*u^5 + 1625*u^6 - 5016*u^7 + 1725*u^8 + 13622*u^9 - 22731*u^10 - 5961*u^11 + 60433*u^12 - 60493*u^13 - 53861*u^14 + 189631*u^15 - 117966*u^16 - 241890*u^17 + 503114*u^18 - 69836*u^19 - 864742*u^20 + 936616*u^21 + 650830*u^22 - 2070968*u^23 + 623240*u^24 + 2605446*u^25 - 2758636*u^26 - 1613654*u^27 + 4637418*u^28 - 1000448*u^29 - 4844048*u^30 + 4073362*u^31 + 2817827*u^32 - 5834147*u^33 + 502255*u^34 + 5242442*u^35 - 3278299*u^36 - 2810354*u^37 + 4162989*u^38 + 119648*u^39 - 3202505*u^40 + 1464524*u^41 + 1504683*u^42 - 1655509*u^43 - 183723*u^44 + 1058573*u^45 - 356775*u^46 - 408773*u^47 + 347523*u^48 + 51685*u^49 - 173753*u^50 + 45422*u^51 + 49851*u^52 - 34340*u^53 - 4275*u^54 + 11824*u^55 - 2750*u^56 - 2041*u^57 + 1236*u^58 + 27*u^59 - 213*u^60 + 54*u^61 + 10*u^62 - 7*u^63 + u^64", "1 + 27*u - 929*u^2 - 1664*u^3 + 64953*u^4 + 643286*u^5 + 3367429*u^6 + 12102562*u^7 + 32154157*u^8 + 62802374*u^9 + 77130941*u^10 - 11543515*u^11 - 380723727*u^12 - 1283470023*u^13 - 2912479981*u^14 - 5053707527*u^15 - 6461500550*u^16 - 3963352742*u^17 + 8567973906*u^18 + 41082755264*u^19 + 107649023090*u^20 + 225740543216*u^21 + 414222090374*u^22 + 690035892828*u^23 + 1063998690016*u^24 + 1536517012730*u^25 + 2094280271572*u^26 + 2708978715562*u^27 + 3338767503842*u^28 + 3932610902104*u^29 + 4436939375032*u^30 + 4803435248146*u^31 + 4996412935279*u^32 + 4998286244899*u^33 + 4812018584479*u^34 + 4460124315428*u^35 + 3980548163145*u^36 + 3420393270622*u^37 + 2828839673061*u^38 + 2250623832874*u^39 + 1721165926231*u^40 + 1263943437984*u^41 + 890164420611*u^42 + 600331263749*u^43 + 387001235805*u^44 + 237975582839*u^45 + 139256910521*u^46 + 77337322889*u^47 + 40636759103*u^48 + 20132876627*u^49 + 9368217535*u^50 + 4076232520*u^51 + 1650200759*u^52 + 618012792*u^53 + 212691405*u^54 + 66740586*u^55 + 18916102*u^56 + 4786885*u^57 + 1065860*u^58 + 204851*u^59 + 33099*u^60 + 4326*u^61 + 430*u^62 + 29*u^63 + u^64", "-32 + 64*u - 184*u^2 + 424*u^3 - 468*u^4 + 1607*u^5 + 82*u^6 + 2201*u^7 + 9309*u^8 - 9439*u^9 + 48622*u^10 - 52678*u^11 + 125402*u^12 - 107193*u^13 + 169790*u^14 - 78275*u^15 + 72886*u^16 + 90232*u^17 - 125358*u^18 + 270074*u^19 - 199260*u^20 + 270094*u^21 - 18936*u^22 + 103080*u^23 + 256328*u^24 - 30536*u^25 + 374580*u^26 + 6508*u^27 + 259860*u^28 + 168948*u^29 + 50096*u^30 + 292776*u^31 - 39030*u^32 + 236024*u^33 + 83088*u^34 + 32746*u^35 + 271720*u^36 - 117717*u^37 + 306062*u^38 - 79217*u^39 + 150459*u^40 + 69531*u^41 - 32418*u^42 + 161324*u^43 - 99490*u^44 + 136045*u^45 - 58818*u^46 + 57147*u^47 + 1898*u^48 - 388*u^49 + 28772*u^50 - 17542*u^51 + 25048*u^52 - 13001*u^53 + 12854*u^54 - 5581*u^55 + 4527*u^56 - 1599*u^57 + 1122*u^58 - 306*u^59 + 190*u^60 - 36*u^61 + 20*u^62 - 2*u^63 + u^64", "1 + u - 13*u^2 + 110*u^3 - 439*u^4 + 450*u^5 + 1625*u^6 - 5016*u^7 + 1725*u^8 + 13622*u^9 - 22731*u^10 - 5961*u^11 + 60433*u^12 - 60493*u^13 - 53861*u^14 + 189631*u^15 - 117966*u^16 - 241890*u^17 + 503114*u^18 - 69836*u^19 - 864742*u^20 + 936616*u^21 + 650830*u^22 - 2070968*u^23 + 623240*u^24 + 2605446*u^25 - 2758636*u^26 - 1613654*u^27 + 4637418*u^28 - 1000448*u^29 - 4844048*u^30 + 4073362*u^31 + 2817827*u^32 - 5834147*u^33 + 502255*u^34 + 5242442*u^35 - 3278299*u^36 - 2810354*u^37 + 4162989*u^38 + 119648*u^39 - 3202505*u^40 + 1464524*u^41 + 1504683*u^42 - 1655509*u^43 - 183723*u^44 + 1058573*u^45 - 356775*u^46 - 408773*u^47 + 347523*u^48 + 51685*u^49 - 173753*u^50 + 45422*u^51 + 49851*u^52 - 34340*u^53 - 4275*u^54 + 11824*u^55 - 2750*u^56 - 2041*u^57 + 1236*u^58 + 27*u^59 - 213*u^60 + 54*u^61 + 10*u^62 - 7*u^63 + u^64", "8 + 4*u - 28*u^2 + 185*u^3 - 461*u^4 + 897*u^5 - 1458*u^6 + 1528*u^7 - 1344*u^8 - 1260*u^9 + 5458*u^10 - 15227*u^11 + 29106*u^12 - 50057*u^13 + 78956*u^14 - 110519*u^15 + 157488*u^16 - 191064*u^17 + 255312*u^18 - 272836*u^19 + 351498*u^20 - 328804*u^21 + 420504*u^22 - 333810*u^23 + 441640*u^24 - 276458*u^25 + 408748*u^26 - 166996*u^27 + 333330*u^28 - 34508*u^29 + 239552*u^30 + 84348*u^31 + 154138*u^32 + 160078*u^33 + 95754*u^34 + 180935*u^35 + 69287*u^36 + 154751*u^37 + 66838*u^38 + 102466*u^39 + 74080*u^40 + 47372*u^41 + 78156*u^42 + 5941*u^43 + 72716*u^44 - 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u^4 + u^5" ], "aCuspShape":"-14 + 7*a + 5*a^3 - 5*a^4", "RepresentationsN":[ [ "u->-1.", "a->-0.42855 + 1.03928 I", "b->-0.33911 - 0.822375 I" ], [ "u->-1.", "a->-0.42855 - 1.03928 I", "b->-0.33911 + 0.822375 I" ], [ "u->-1.", "a->0.276511 + 0.728237 I", "b->0.455697 - 1.20015 I" ], [ "u->-1.", "a->0.276511 - 0.728237 I", "b->0.455697 + 1.20015 I" ], [ "u->-1.", "a->1.30408", "b->0.766826" ] ], "Epsilon":1.16974, "uPolys_ij":[ "u^5", "(-1 + u)^5", "-1 + u - 2*u^2 + u^3 - u^4 + u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5", "-1 - u - 3*u^2 + 8*u^3 - 5*u^4 + u^5", "-1 + u - u^2 - 2*u^3 + u^4 + u^5", "-1 - 2*u - 5*u^2 - 4*u^3 + u^5", "1 - u + 3*u^2 + 8*u^3 + 5*u^4 + u^5", "-1 + 3*u - 3*u^2 + 8*u^3 - u^4 + u^5", "1 - u - u^2 + 4*u^3 - 3*u^4 + u^5", "1 + u + u^2 + 2*u^3 + u^4 + u^5", "-7 + 12*u - 2*u^2 + 7*u^3 + u^5", "-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5", "-1 + u - u^2 + 2*u^3 - u^4 + u^5", "-1 + 2*u^2 - u^3 - 2*u^4 + u^5" ], "GeometricComponent":0, "uPolys_ij_N":[ "u^5", "-1 + 5*u - 10*u^2 + 10*u^3 - 5*u^4 + u^5", "-1 + u - 2*u^2 + u^3 - u^4 + u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5", "-1 - u - 3*u^2 + 8*u^3 - 5*u^4 + u^5", "-1 + u - u^2 - 2*u^3 + u^4 + u^5", "-1 - 2*u - 5*u^2 - 4*u^3 + u^5", "1 - u + 3*u^2 + 8*u^3 + 5*u^4 + u^5", "-1 + 3*u - 3*u^2 + 8*u^3 - u^4 + u^5", "1 - u - u^2 + 4*u^3 - 3*u^4 + u^5", "1 + u + u^2 + 2*u^3 + u^4 + u^5", "-7 + 12*u - 2*u^2 + 7*u^3 + u^5", "-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5", "-1 + u - u^2 + 2*u^3 - u^4 + u^5", "-1 + 2*u^2 - u^3 - 2*u^4 + u^5" ], "Multiplicity":1, "ij_list":[ [ "{1, 5}", "{3, 4}", "{3, 6}", "{3, 7}", "{4, 6}", "{4, 7}", "{6, 7}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{2, 3}", "{2, 4}", "{2, 5}", "{3, 5}", "{4, 5}" ], [ "{2, 8}", "{2, 10}", "{3, 9}", "{4, 9}" ], [ "{1, 8}" ], [ "{5, 11}", "{6, 8}", "{7, 8}", "{10, 11}" ], [ "{5, 8}", "{6, 10}", "{6, 11}", "{7, 10}", "{7, 11}", "{8, 11}" ], [ "{3, 8}", "{4, 8}" ], [ "{1, 11}" ], [ "{8, 9}", "{9, 11}" ], [ "{5, 6}", "{5, 7}", "{8, 10}", "{9, 10}" ], [ "{1, 9}", "{1, 10}" ], [ "{2, 9}" ], [ "{1, 6}", "{1, 7}", "{2, 6}", "{2, 7}", "{2, 11}" ], [ "{5, 9}", "{5, 10}", "{6, 9}", "{7, 9}" ], [ "{3, 10}", "{3, 11}", "{4, 10}", "{4, 11}" ] ], "SortedReprnIndices":"{4, 3, 1, 2, 5}", "aCuspShapeN":[ "-10.5009929742023883255`5.128137290753355 - 3.4597596926193668685`4.6459528575332945*I", "-10.5009929742023883255`5.128137290753355 + 3.4597596926193668685`4.6459528575332945*I", "-14.377369876047591727`5.117461602905278 + 5.8297055204061504413`4.725428774769095*I", "-14.377369876047591727`5.117461602905278 - 5.8297055204061504413`4.725428774769095*I", -8.2433 ], "Abelian":false }, { "IdealName":"J11a_20_2", "Generators":[ "b", "1 + a - 2*u + u^2", "1 - u^2 + u^3" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.124402, "TimingZeroDimVars":7.649700000000001e-2, "TimingmagmaVCompNormalize":7.7722e-2, "TimingNumberOfSols":4.3634000000000006e-2, "TimingIsRadical":2.438e-3, "TimingArcColoring":8.4887e-2, "TimingObstruction":2.291e-3, "TimingComplexVolumeN":2.547954, "TimingaCuspShapeN":1.2382e-2, "TiminguValues":0.689377, "TiminguPolysN":5.28e-4, "TiminguPolys":0.870206, "TimingaCuspShape":9.774e-2, "TimingRepresentationsN":4.3155e-2, "TiminguValues_ij":0.215965, "TiminguPoly_ij":0.880169, "TiminguPolys_ij_N":7.26e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":3, "IsRadical":true, "ArcColoring":[ [ "u", "1 + u - u^2" ], [ 0, "u" ], [ "1 - u^2", "-u^2" ], [ 1, "-u^2" ], "{1, 0}", "{1, 0}", [ "-u", "-1 - u + u^2" ], [ "-1 + 2*u - u^2", 0 ], [ "-1 + 2*u - u^2", 0 ], [ "-1 + 2*u - u^2", 0 ], [ "-1 + 3*u - u^2", "1 + u - u^2" ] ], "Obstruction":1, "ComplexVolumeN":[ "1.37919 - 2.82812*I", "1.37919 + 2.82812*I", -2.75839 ], "uPolysN":[ "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u^2 + u^3", "u^3", "1 + 2*u + u^2 + u^3", "-1 + 3*u - 3*u^2 + u^3", "u^3", "u^3", "1 + 3*u + 3*u^2 + u^3", "1 + 3*u + 3*u^2 + u^3" ], "uPolys":[ "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u^2 + u^3", "u^3", "1 + 2*u + u^2 + u^3", "(-1 + u)^3", "u^3", "u^3", "(1 + u)^3", "(1 + u)^3" ], "aCuspShape":"-16 + 8*u - u^2", "RepresentationsN":[ [ "u->0.877439 + 0.744862 I", "a->0.539798 + 0.182582 I", "b->0" ], [ "u->0.877439 - 0.744862 I", "a->0.539798 - 0.182582 I", "b->0" ], [ "u->-0.754878", "a->-3.0796", "b->0" ] ], "Epsilon":1.53383, "uPolys_ij":[ "(1 + u)^3", "u^3", "(-1 + u)^3", "1 + u + 2*u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "7 - u + u^2 + u^3", "11 + 7*u + 4*u^2 + u^3", "1 + 2*u + 3*u^2 + u^3", "1 + 2*u - 3*u^2 + u^3", "-1 + 2*u + 3*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 + u + 2*u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "7 - u + u^2 + u^3", "11 + 7*u + 4*u^2 + u^3", "1 + 2*u + 3*u^2 + u^3", "1 + 2*u - 3*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{1, 8}", "{1, 9}", "{1, 10}", "{1, 11}" ], [ "{1, 7}", "{5, 6}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 8}", "{6, 9}", "{6, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ], [ "{7, 8}", "{7, 9}", "{7, 10}", "{7, 11}", "{8, 11}", "{9, 11}", "{10, 11}" ], [ "{3, 8}", "{3, 9}", "{3, 10}", "{4, 8}", "{4, 9}", "{4, 10}" ], [ "{1, 4}", "{2, 4}", "{2, 5}", "{2, 6}", "{4, 7}" ], [ "{1, 2}", "{1, 3}", "{2, 7}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 5}", "{4, 6}" ], [ "{4, 11}" ], [ "{2, 11}" ], [ "{2, 8}", "{2, 9}", "{2, 10}", "{3, 11}" ], [ "{5, 11}", "{6, 11}" ], [ "{1, 5}", "{1, 6}", "{2, 3}", "{3, 4}", "{5, 7}", "{6, 7}" ] ], "SortedReprnIndices":"{2, 1, 3}", "aCuspShapeN":[ "-9.1955691895142023268`5.101036882136954 + 4.6517528542759084123`4.805074898449781*I", "-9.1955691895142023268`5.101036882136954 - 4.6517528542759084123`4.805074898449781*I", -2.2608999999999998e1 ], "Abelian":false }, { "IdealName":"abJ11a_20_3", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.9777e-2, "TimingZeroDimVars":8.409599999999999e-2, "TimingmagmaVCompNormalize":8.528100000000001e-2, "TimingNumberOfSols":3.1906e-2, "TimingIsRadical":2.148e-3, "TimingArcColoring":8.2239e-2, "TimingObstruction":4.14e-4, "TimingComplexVolumeN":0.460914, "TimingaCuspShapeN":4.829e-3, "TiminguValues":0.682535, "TiminguPolysN":8.7e-5, "TiminguPolys":0.884307, "TimingaCuspShape":0.101125, "TimingRepresentationsN":3.2395e-2, "TiminguValues_ij":0.207339, "TiminguPoly_ij":0.197838, "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}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "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}", "{1, 11}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{2, 11}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{3, 11}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{4, 11}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{5, 11}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{6, 11}", "{7, 8}", "{7, 9}", "{7, 10}", "{7, 11}", "{8, 9}", "{8, 10}", "{8, 11}", "{9, 10}", "{9, 11}", "{10, 11}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(-1 + u)^5*(-1 + u^2 + u^3)*(1 + u - 13*u^2 + 110*u^3 - 439*u^4 + 450*u^5 + 1625*u^6 - 5016*u^7 + 1725*u^8 + 13622*u^9 - 22731*u^10 - 5961*u^11 + 60433*u^12 - 60493*u^13 - 53861*u^14 + 189631*u^15 - 117966*u^16 - 241890*u^17 + 503114*u^18 - 69836*u^19 - 864742*u^20 + 936616*u^21 + 650830*u^22 - 2070968*u^23 + 623240*u^24 + 2605446*u^25 - 2758636*u^26 - 1613654*u^27 + 4637418*u^28 - 1000448*u^29 - 4844048*u^30 + 4073362*u^31 + 2817827*u^32 - 5834147*u^33 + 502255*u^34 + 5242442*u^35 - 3278299*u^36 - 2810354*u^37 + 4162989*u^38 + 119648*u^39 - 3202505*u^40 + 1464524*u^41 + 1504683*u^42 - 1655509*u^43 - 183723*u^44 + 1058573*u^45 - 356775*u^46 - 408773*u^47 + 347523*u^48 + 51685*u^49 - 173753*u^50 + 45422*u^51 + 49851*u^52 - 34340*u^53 - 4275*u^54 + 11824*u^55 - 2750*u^56 - 2041*u^57 + 1236*u^58 + 27*u^59 - 213*u^60 + 54*u^61 + 10*u^62 - 7*u^63 + u^64)", "(1 + u)^5*(1 + 2*u + u^2 + u^3)*(1 + 27*u - 929*u^2 - 1664*u^3 + 64953*u^4 + 643286*u^5 + 3367429*u^6 + 12102562*u^7 + 32154157*u^8 + 62802374*u^9 + 77130941*u^10 - 11543515*u^11 - 380723727*u^12 - 1283470023*u^13 - 2912479981*u^14 - 5053707527*u^15 - 6461500550*u^16 - 3963352742*u^17 + 8567973906*u^18 + 41082755264*u^19 + 107649023090*u^20 + 225740543216*u^21 + 414222090374*u^22 + 690035892828*u^23 + 1063998690016*u^24 + 1536517012730*u^25 + 2094280271572*u^26 + 2708978715562*u^27 + 3338767503842*u^28 + 3932610902104*u^29 + 4436939375032*u^30 + 4803435248146*u^31 + 4996412935279*u^32 + 4998286244899*u^33 + 4812018584479*u^34 + 4460124315428*u^35 + 3980548163145*u^36 + 3420393270622*u^37 + 2828839673061*u^38 + 2250623832874*u^39 + 1721165926231*u^40 + 1263943437984*u^41 + 890164420611*u^42 + 600331263749*u^43 + 387001235805*u^44 + 237975582839*u^45 + 139256910521*u^46 + 77337322889*u^47 + 40636759103*u^48 + 20132876627*u^49 + 9368217535*u^50 + 4076232520*u^51 + 1650200759*u^52 + 618012792*u^53 + 212691405*u^54 + 66740586*u^55 + 18916102*u^56 + 4786885*u^57 + 1065860*u^58 + 204851*u^59 + 33099*u^60 + 4326*u^61 + 430*u^62 + 29*u^63 + u^64)", "u^5*(-1 + 2*u - u^2 + u^3)*(-32 + 64*u - 184*u^2 + 424*u^3 - 468*u^4 + 1607*u^5 + 82*u^6 + 2201*u^7 + 9309*u^8 - 9439*u^9 + 48622*u^10 - 52678*u^11 + 125402*u^12 - 107193*u^13 + 169790*u^14 - 78275*u^15 + 72886*u^16 + 90232*u^17 - 125358*u^18 + 270074*u^19 - 199260*u^20 + 270094*u^21 - 18936*u^22 + 103080*u^23 + 256328*u^24 - 30536*u^25 + 374580*u^26 + 6508*u^27 + 259860*u^28 + 168948*u^29 + 50096*u^30 + 292776*u^31 - 39030*u^32 + 236024*u^33 + 83088*u^34 + 32746*u^35 + 271720*u^36 - 117717*u^37 + 306062*u^38 - 79217*u^39 + 150459*u^40 + 69531*u^41 - 32418*u^42 + 161324*u^43 - 99490*u^44 + 136045*u^45 - 58818*u^46 + 57147*u^47 + 1898*u^48 - 388*u^49 + 28772*u^50 - 17542*u^51 + 25048*u^52 - 13001*u^53 + 12854*u^54 - 5581*u^55 + 4527*u^56 - 1599*u^57 + 1122*u^58 - 306*u^59 + 190*u^60 - 36*u^61 + 20*u^62 - 2*u^63 + u^64)", "(1 + u)^5*(1 - u^2 + u^3)*(1 + u - 13*u^2 + 110*u^3 - 439*u^4 + 450*u^5 + 1625*u^6 - 5016*u^7 + 1725*u^8 + 13622*u^9 - 22731*u^10 - 5961*u^11 + 60433*u^12 - 60493*u^13 - 53861*u^14 + 189631*u^15 - 117966*u^16 - 241890*u^17 + 503114*u^18 - 69836*u^19 - 864742*u^20 + 936616*u^21 + 650830*u^22 - 2070968*u^23 + 623240*u^24 + 2605446*u^25 - 2758636*u^26 - 1613654*u^27 + 4637418*u^28 - 1000448*u^29 - 4844048*u^30 + 4073362*u^31 + 2817827*u^32 - 5834147*u^33 + 502255*u^34 + 5242442*u^35 - 3278299*u^36 - 2810354*u^37 + 4162989*u^38 + 119648*u^39 - 3202505*u^40 + 1464524*u^41 + 1504683*u^42 - 1655509*u^43 - 183723*u^44 + 1058573*u^45 - 356775*u^46 - 408773*u^47 + 347523*u^48 + 51685*u^49 - 173753*u^50 + 45422*u^51 + 49851*u^52 - 34340*u^53 - 4275*u^54 + 11824*u^55 - 2750*u^56 - 2041*u^57 + 1236*u^58 + 27*u^59 - 213*u^60 + 54*u^61 + 10*u^62 - 7*u^63 + u^64)", "u^3*(-1 + u - u^2 + 2*u^3 - u^4 + u^5)*(8 + 4*u - 28*u^2 + 185*u^3 - 461*u^4 + 897*u^5 - 1458*u^6 + 1528*u^7 - 1344*u^8 - 1260*u^9 + 5458*u^10 - 15227*u^11 + 29106*u^12 - 50057*u^13 + 78956*u^14 - 110519*u^15 + 157488*u^16 - 191064*u^17 + 255312*u^18 - 272836*u^19 + 351498*u^20 - 328804*u^21 + 420504*u^22 - 333810*u^23 + 441640*u^24 - 276458*u^25 + 408748*u^26 - 166996*u^27 + 333330*u^28 - 34508*u^29 + 239552*u^30 + 84348*u^31 + 154138*u^32 + 160078*u^33 + 95754*u^34 + 180935*u^35 + 69287*u^36 + 154751*u^37 + 66838*u^38 + 102466*u^39 + 74080*u^40 + 47372*u^41 + 78156*u^42 + 5941*u^43 + 72716*u^44 - 15967*u^45 + 58530*u^46 - 21383*u^47 + 40558*u^48 - 17438*u^49 + 24082*u^50 - 10801*u^51 + 12151*u^52 - 5333*u^53 + 5138*u^54 - 2108*u^55 + 1782*u^56 - 654*u^57 + 490*u^58 - 152*u^59 + 101*u^60 - 24*u^61 + 14*u^62 - 2*u^63 + u^64)", "u^5*(1 + 2*u + u^2 + u^3)*(-32 + 64*u - 184*u^2 + 424*u^3 - 468*u^4 + 1607*u^5 + 82*u^6 + 2201*u^7 + 9309*u^8 - 9439*u^9 + 48622*u^10 - 52678*u^11 + 125402*u^12 - 107193*u^13 + 169790*u^14 - 78275*u^15 + 72886*u^16 + 90232*u^17 - 125358*u^18 + 270074*u^19 - 199260*u^20 + 270094*u^21 - 18936*u^22 + 103080*u^23 + 256328*u^24 - 30536*u^25 + 374580*u^26 + 6508*u^27 + 259860*u^28 + 168948*u^29 + 50096*u^30 + 292776*u^31 - 39030*u^32 + 236024*u^33 + 83088*u^34 + 32746*u^35 + 271720*u^36 - 117717*u^37 + 306062*u^38 - 79217*u^39 + 150459*u^40 + 69531*u^41 - 32418*u^42 + 161324*u^43 - 99490*u^44 + 136045*u^45 - 58818*u^46 + 57147*u^47 + 1898*u^48 - 388*u^49 + 28772*u^50 - 17542*u^51 + 25048*u^52 - 13001*u^53 + 12854*u^54 - 5581*u^55 + 4527*u^56 - 1599*u^57 + 1122*u^58 - 306*u^59 + 190*u^60 - 36*u^61 + 20*u^62 - 2*u^63 + u^64)", "(-1 + u)^3*(-1 + u - u^2 - 2*u^3 + u^4 + u^5)*(-1 + 14*u + 49*u^2 + 25*u^3 - 290*u^4 - 829*u^5 - 530*u^6 + 2564*u^7 + 8969*u^8 + 11967*u^9 - 2426*u^10 - 39278*u^11 - 74486*u^12 - 47316*u^13 + 86795*u^14 + 256865*u^15 + 265262*u^16 - 62324*u^17 - 601474*u^18 - 819354*u^19 - 194632*u^20 + 1066562*u^21 + 1805076*u^22 + 818944*u^23 - 1583692*u^24 - 3170334*u^25 - 1707878*u^26 + 2181418*u^27 + 4671686*u^28 + 2444534*u^29 - 3001194*u^30 - 5908762*u^31 - 2418399*u^32 + 4149058*u^33 + 6235233*u^34 + 1161173*u^35 - 5095662*u^36 - 5096009*u^37 + 848558*u^38 + 5085356*u^39 + 2590791*u^40 - 2501493*u^41 - 3389808*u^42 - 21332*u^43 + 2378860*u^44 + 1165830*u^45 - 1098965*u^46 - 1157355*u^47 + 327313*u^48 + 722014*u^49 - 45515*u^50 - 335039*u^51 - 8068*u^52 + 120783*u^53 + 5290*u^54 - 33888*u^55 - 776*u^56 + 7211*u^57 - 159*u^58 - 1099*u^59 + 87*u^60 + 107*u^61 - 15*u^62 - 5*u^63 + u^64)", "u^3*(1 - u - u^2 + 4*u^3 - 3*u^4 + u^5)*(64 - 464*u - 8072*u^2 - 38913*u^3 - 71449*u^4 + 146979*u^5 + 1371764*u^6 + 4480290*u^7 + 7726388*u^8 + 92944*u^9 - 46810694*u^10 - 176011665*u^11 - 404594174*u^12 - 605365303*u^13 - 270441142*u^14 + 1856572387*u^15 + 8228439172*u^16 + 22870328588*u^17 + 51427896392*u^18 + 100587932634*u^19 + 176667399094*u^20 + 283441550902*u^21 + 419683791536*u^22 + 577258660452*u^23 + 740727584996*u^24 + 889135372944*u^25 + 999956369724*u^26 + 1054320470604*u^27 + 1041978757118*u^28 + 964343843572*u^29 + 834476716916*u^30 + 673915464900*u^31 + 507341040446*u^32 + 356794092940*u^33 + 237209094956*u^34 + 154432401219*u^35 + 105932103583*u^36 + 83504343763*u^37 + 76771633788*u^38 + 76277829554*u^39 + 75403420352*u^40 + 70904534892*u^41 + 62365955066*u^42 + 51101786329*u^43 + 39023990016*u^44 + 27817818895*u^45 + 18537158242*u^46 + 11557801057*u^47 + 6743582734*u^48 + 3679848244*u^49 + 1875390084*u^50 + 890671711*u^51 + 392976355*u^52 + 160424291*u^53 + 60279516*u^54 + 20711772*u^55 + 6453982*u^56 + 1804892*u^57 + 446898*u^58 + 96224*u^59 + 17573*u^60 + 2624*u^61 + 302*u^62 + 24*u^63 + u^64)", "u^3*(1 + u + u^2 + 2*u^3 + u^4 + u^5)*(8 + 4*u - 28*u^2 + 185*u^3 - 461*u^4 + 897*u^5 - 1458*u^6 + 1528*u^7 - 1344*u^8 - 1260*u^9 + 5458*u^10 - 15227*u^11 + 29106*u^12 - 50057*u^13 + 78956*u^14 - 110519*u^15 + 157488*u^16 - 191064*u^17 + 255312*u^18 - 272836*u^19 + 351498*u^20 - 328804*u^21 + 420504*u^22 - 333810*u^23 + 441640*u^24 - 276458*u^25 + 408748*u^26 - 166996*u^27 + 333330*u^28 - 34508*u^29 + 239552*u^30 + 84348*u^31 + 154138*u^32 + 160078*u^33 + 95754*u^34 + 180935*u^35 + 69287*u^36 + 154751*u^37 + 66838*u^38 + 102466*u^39 + 74080*u^40 + 47372*u^41 + 78156*u^42 + 5941*u^43 + 72716*u^44 - 15967*u^45 + 58530*u^46 - 21383*u^47 + 40558*u^48 - 17438*u^49 + 24082*u^50 - 10801*u^51 + 12151*u^52 - 5333*u^53 + 5138*u^54 - 2108*u^55 + 1782*u^56 - 654*u^57 + 490*u^58 - 152*u^59 + 101*u^60 - 24*u^61 + 14*u^62 - 2*u^63 + u^64)", "(1 + u)^3*(1 + u + u^2 - 2*u^3 - u^4 + u^5)*(-1 + 14*u + 49*u^2 + 25*u^3 - 290*u^4 - 829*u^5 - 530*u^6 + 2564*u^7 + 8969*u^8 + 11967*u^9 - 2426*u^10 - 39278*u^11 - 74486*u^12 - 47316*u^13 + 86795*u^14 + 256865*u^15 + 265262*u^16 - 62324*u^17 - 601474*u^18 - 819354*u^19 - 194632*u^20 + 1066562*u^21 + 1805076*u^22 + 818944*u^23 - 1583692*u^24 - 3170334*u^25 - 1707878*u^26 + 2181418*u^27 + 4671686*u^28 + 2444534*u^29 - 3001194*u^30 - 5908762*u^31 - 2418399*u^32 + 4149058*u^33 + 6235233*u^34 + 1161173*u^35 - 5095662*u^36 - 5096009*u^37 + 848558*u^38 + 5085356*u^39 + 2590791*u^40 - 2501493*u^41 - 3389808*u^42 - 21332*u^43 + 2378860*u^44 + 1165830*u^45 - 1098965*u^46 - 1157355*u^47 + 327313*u^48 + 722014*u^49 - 45515*u^50 - 335039*u^51 - 8068*u^52 + 120783*u^53 + 5290*u^54 - 33888*u^55 - 776*u^56 + 7211*u^57 - 159*u^58 - 1099*u^59 + 87*u^60 + 107*u^61 - 15*u^62 - 5*u^63 + u^64)", "(1 + u)^3*(1 + u + u^2 - 2*u^3 - u^4 + u^5)*(-1 + 14*u + 49*u^2 + 25*u^3 - 290*u^4 - 829*u^5 - 530*u^6 + 2564*u^7 + 8969*u^8 + 11967*u^9 - 2426*u^10 - 39278*u^11 - 74486*u^12 - 47316*u^13 + 86795*u^14 + 256865*u^15 + 265262*u^16 - 62324*u^17 - 601474*u^18 - 819354*u^19 - 194632*u^20 + 1066562*u^21 + 1805076*u^22 + 818944*u^23 - 1583692*u^24 - 3170334*u^25 - 1707878*u^26 + 2181418*u^27 + 4671686*u^28 + 2444534*u^29 - 3001194*u^30 - 5908762*u^31 - 2418399*u^32 + 4149058*u^33 + 6235233*u^34 + 1161173*u^35 - 5095662*u^36 - 5096009*u^37 + 848558*u^38 + 5085356*u^39 + 2590791*u^40 - 2501493*u^41 - 3389808*u^42 - 21332*u^43 + 2378860*u^44 + 1165830*u^45 - 1098965*u^46 - 1157355*u^47 + 327313*u^48 + 722014*u^49 - 45515*u^50 - 335039*u^51 - 8068*u^52 + 120783*u^53 + 5290*u^54 - 33888*u^55 - 776*u^56 + 7211*u^57 - 159*u^58 - 1099*u^59 + 87*u^60 + 107*u^61 - 15*u^62 - 5*u^63 + u^64)" ], "RileyPolyC":[ "(-1 + y)^5*(-1 + 2*y - y^2 + y^3)*(1 - 27*y - 929*y^2 + 1664*y^3 + 64953*y^4 - 643286*y^5 + 3367429*y^6 - 12102562*y^7 + 32154157*y^8 - 62802374*y^9 + 77130941*y^10 + 11543515*y^11 - 380723727*y^12 + 1283470023*y^13 - 2912479981*y^14 + 5053707527*y^15 - 6461500550*y^16 + 3963352742*y^17 + 8567973906*y^18 - 41082755264*y^19 + 107649023090*y^20 - 225740543216*y^21 + 414222090374*y^22 - 690035892828*y^23 + 1063998690016*y^24 - 1536517012730*y^25 + 2094280271572*y^26 - 2708978715562*y^27 + 3338767503842*y^28 - 3932610902104*y^29 + 4436939375032*y^30 - 4803435248146*y^31 + 4996412935279*y^32 - 4998286244899*y^33 + 4812018584479*y^34 - 4460124315428*y^35 + 3980548163145*y^36 - 3420393270622*y^37 + 2828839673061*y^38 - 2250623832874*y^39 + 1721165926231*y^40 - 1263943437984*y^41 + 890164420611*y^42 - 600331263749*y^43 + 387001235805*y^44 - 237975582839*y^45 + 139256910521*y^46 - 77337322889*y^47 + 40636759103*y^48 - 20132876627*y^49 + 9368217535*y^50 - 4076232520*y^51 + 1650200759*y^52 - 618012792*y^53 + 212691405*y^54 - 66740586*y^55 + 18916102*y^56 - 4786885*y^57 + 1065860*y^58 - 204851*y^59 + 33099*y^60 - 4326*y^61 + 430*y^62 - 29*y^63 + y^64)", "(-1 + y)^5*(-1 + 2*y + 3*y^2 + y^3)*(1 - 2587*y + 1082803*y^2 - 151454156*y^3 - 486165099*y^4 + 930190194*y^5 + 11337506469*y^6 + 34120928606*y^7 + 9740732081*y^8 - 339577310014*y^9 - 1728268093079*y^10 - 5311178748105*y^11 - 11774155194743*y^12 - 18369414573209*y^13 - 12834251891573*y^14 + 35463256329159*y^15 + 183395042377146*y^16 + 513028470595342*y^17 + 1112520013166618*y^18 + 2036452327135032*y^19 + 3257890786599378*y^20 + 4638844262413984*y^21 + 5946094866372854*y^22 + 6918071522287348*y^23 + 7356408128724192*y^24 + 7195818884264742*y^25 + 6516466955787428*y^26 + 5497283518461990*y^27 + 4342301165061970*y^28 + 3220025091868032*y^29 + 2237758170986384*y^30 + 1446233691664222*y^31 + 856393196671723*y^32 + 453733866472141*y^33 + 207192229500695*y^34 + 76294921420956*y^35 + 19409111907713*y^36 + 1697053201994*y^37 - 298967038303*y^38 + 1234703501434*y^39 + 2029102126395*y^40 + 1720212956560*y^41 + 1016079280303*y^42 + 440509942823*y^43 + 129808529245*y^44 + 13257485561*y^45 - 11485849615*y^46 - 8475056409*y^47 - 3008129621*y^48 - 382029251*y^49 + 256956231*y^50 + 213310640*y^51 + 89682423*y^52 + 24087728*y^53 + 3219057*y^54 - 488990*y^55 - 361018*y^56 - 59701*y^57 + 19336*y^58 + 15601*y^59 + 5423*y^60 + 1226*y^61 + 190*y^62 + 19*y^63 + y^64)", "y^5*(-1 + 2*y + 3*y^2 + y^3)*(1024 + 7680*y + 9536*y^2 - 218496*y^3 - 2051392*y^4 - 9854977*y^5 - 26952082*y^6 - 17113819*y^7 + 221884227*y^8 + 1290227389*y^9 + 4335239912*y^10 + 10551975264*y^11 + 19471669806*y^12 + 27030434183*y^13 + 27139787430*y^14 + 19561039667*y^15 + 17861892784*y^16 + 42693590168*y^17 + 96446579088*y^18 + 143909566364*y^19 + 132387567608*y^20 + 45862125846*y^21 - 62506365148*y^22 - 107533495206*y^23 - 53441808430*y^24 + 44604780442*y^25 + 90798613176*y^26 + 45182715696*y^27 - 34688826448*y^28 - 53446273780*y^29 + 23251318560*y^30 + 134660674892*y^31 + 187635545042*y^32 + 145495911912*y^33 + 53024570296*y^34 - 16709246220*y^35 - 29438738624*y^36 - 6283004689*y^37 + 11983905254*y^38 + 5974159357*y^39 - 13858040705*y^40 - 27490562267*y^41 - 26066724840*y^42 - 14987978980*y^43 - 3990727334*y^44 + 1830201709*y^45 + 3169014434*y^46 + 2791753469*y^47 + 2423207962*y^48 + 2284909100*y^49 + 2050399560*y^50 + 1587229644*y^51 + 1030918936*y^52 + 561643379*y^53 + 257948646*y^54 + 100219661*y^55 + 32941795*y^56 + 9123959*y^57 + 2110976*y^58 + 402060*y^59 + 61606*y^60 + 7324*y^61 + 636*y^62 + 36*y^63 + y^64)", "(-1 + y)^5*(-1 + 2*y - y^2 + y^3)*(1 - 27*y - 929*y^2 + 1664*y^3 + 64953*y^4 - 643286*y^5 + 3367429*y^6 - 12102562*y^7 + 32154157*y^8 - 62802374*y^9 + 77130941*y^10 + 11543515*y^11 - 380723727*y^12 + 1283470023*y^13 - 2912479981*y^14 + 5053707527*y^15 - 6461500550*y^16 + 3963352742*y^17 + 8567973906*y^18 - 41082755264*y^19 + 107649023090*y^20 - 225740543216*y^21 + 414222090374*y^22 - 690035892828*y^23 + 1063998690016*y^24 - 1536517012730*y^25 + 2094280271572*y^26 - 2708978715562*y^27 + 3338767503842*y^28 - 3932610902104*y^29 + 4436939375032*y^30 - 4803435248146*y^31 + 4996412935279*y^32 - 4998286244899*y^33 + 4812018584479*y^34 - 4460124315428*y^35 + 3980548163145*y^36 - 3420393270622*y^37 + 2828839673061*y^38 - 2250623832874*y^39 + 1721165926231*y^40 - 1263943437984*y^41 + 890164420611*y^42 - 600331263749*y^43 + 387001235805*y^44 - 237975582839*y^45 + 139256910521*y^46 - 77337322889*y^47 + 40636759103*y^48 - 20132876627*y^49 + 9368217535*y^50 - 4076232520*y^51 + 1650200759*y^52 - 618012792*y^53 + 212691405*y^54 - 66740586*y^55 + 18916102*y^56 - 4786885*y^57 + 1065860*y^58 - 204851*y^59 + 33099*y^60 - 4326*y^61 + 430*y^62 - 29*y^63 + y^64)", "y^3*(-1 - y + y^2 + 4*y^3 + 3*y^4 + y^5)*(64 - 464*y - 8072*y^2 - 38913*y^3 - 71449*y^4 + 146979*y^5 + 1371764*y^6 + 4480290*y^7 + 7726388*y^8 + 92944*y^9 - 46810694*y^10 - 176011665*y^11 - 404594174*y^12 - 605365303*y^13 - 270441142*y^14 + 1856572387*y^15 + 8228439172*y^16 + 22870328588*y^17 + 51427896392*y^18 + 100587932634*y^19 + 176667399094*y^20 + 283441550902*y^21 + 419683791536*y^22 + 577258660452*y^23 + 740727584996*y^24 + 889135372944*y^25 + 999956369724*y^26 + 1054320470604*y^27 + 1041978757118*y^28 + 964343843572*y^29 + 834476716916*y^30 + 673915464900*y^31 + 507341040446*y^32 + 356794092940*y^33 + 237209094956*y^34 + 154432401219*y^35 + 105932103583*y^36 + 83504343763*y^37 + 76771633788*y^38 + 76277829554*y^39 + 75403420352*y^40 + 70904534892*y^41 + 62365955066*y^42 + 51101786329*y^43 + 39023990016*y^44 + 27817818895*y^45 + 18537158242*y^46 + 11557801057*y^47 + 6743582734*y^48 + 3679848244*y^49 + 1875390084*y^50 + 890671711*y^51 + 392976355*y^52 + 160424291*y^53 + 60279516*y^54 + 20711772*y^55 + 6453982*y^56 + 1804892*y^57 + 446898*y^58 + 96224*y^59 + 17573*y^60 + 2624*y^61 + 302*y^62 + 24*y^63 + y^64)", "y^5*(-1 + 2*y + 3*y^2 + y^3)*(1024 + 7680*y + 9536*y^2 - 218496*y^3 - 2051392*y^4 - 9854977*y^5 - 26952082*y^6 - 17113819*y^7 + 221884227*y^8 + 1290227389*y^9 + 4335239912*y^10 + 10551975264*y^11 + 19471669806*y^12 + 27030434183*y^13 + 27139787430*y^14 + 19561039667*y^15 + 17861892784*y^16 + 42693590168*y^17 + 96446579088*y^18 + 143909566364*y^19 + 132387567608*y^20 + 45862125846*y^21 - 62506365148*y^22 - 107533495206*y^23 - 53441808430*y^24 + 44604780442*y^25 + 90798613176*y^26 + 45182715696*y^27 - 34688826448*y^28 - 53446273780*y^29 + 23251318560*y^30 + 134660674892*y^31 + 187635545042*y^32 + 145495911912*y^33 + 53024570296*y^34 - 16709246220*y^35 - 29438738624*y^36 - 6283004689*y^37 + 11983905254*y^38 + 5974159357*y^39 - 13858040705*y^40 - 27490562267*y^41 - 26066724840*y^42 - 14987978980*y^43 - 3990727334*y^44 + 1830201709*y^45 + 3169014434*y^46 + 2791753469*y^47 + 2423207962*y^48 + 2284909100*y^49 + 2050399560*y^50 + 1587229644*y^51 + 1030918936*y^52 + 561643379*y^53 + 257948646*y^54 + 100219661*y^55 + 32941795*y^56 + 9123959*y^57 + 2110976*y^58 + 402060*y^59 + 61606*y^60 + 7324*y^61 + 636*y^62 + 36*y^63 + y^64)", "(-1 + y)^3*(-1 - y - 3*y^2 + 8*y^3 - 5*y^4 + y^5)*(1 - 294*y + 2281*y^2 - 4773*y^3 - 16120*y^4 + 40697*y^5 - 257350*y^6 + 982660*y^7 + 2875667*y^8 - 19044515*y^9 + 2142*y^10 + 143594806*y^11 - 164094154*y^12 - 549761836*y^13 + 1280309161*y^14 + 703316255*y^15 - 4823905974*y^16 + 3030120476*y^17 + 8686937062*y^18 - 15782630934*y^19 + 671590172*y^20 + 25072092422*y^21 - 29806743052*y^22 + 8691410720*y^23 + 14969115732*y^24 - 47121426458*y^25 + 114874951818*y^26 - 141412706946*y^27 - 70281556098*y^28 + 519058337450*y^29 - 689654050578*y^30 - 41781121158*y^31 + 1381024522827*y^32 - 1864194652302*y^33 + 332791063953*y^34 + 2284198281255*y^35 - 3384913012752*y^36 + 1396155900897*y^37 + 2256869658598*y^38 - 4379406202388*y^39 + 3149710281405*y^40 + 259124588425*y^41 - 3053085899904*y^42 + 3381578883604*y^43 - 1525762945088*y^44 - 912972346166*y^45 + 2519331718533*y^46 - 2865610441445*y^47 + 2330866766835*y^48 - 1513680689562*y^49 + 819032912069*y^50 - 376899708285*y^51 + 149048492686*y^52 - 50890760511*y^53 + 15014098646*y^54 - 3818410624*y^55 + 832668456*y^56 - 154364059*y^57 + 24025061*y^58 - 3083641*y^59 + 318083*y^60 - 25367*y^61 + 1469*y^62 - 55*y^63 + y^64)", "y^3*(-1 + 3*y - 3*y^2 + 8*y^3 - y^4 + y^5)*(4096 - 1248512*y + 19900448*y^2 - 48766609*y^3 - 455323977*y^4 + 417566355*y^5 + 8452415740*y^6 + 23485289030*y^7 + 22506101236*y^8 - 159058899328*y^9 - 1650775887682*y^10 - 7854798311993*y^11 - 17400806513838*y^12 + 16403262340729*y^13 + 273748829290254*y^14 + 1125196314124203*y^15 + 2958006227472860*y^16 + 5674615812121344*y^17 + 8229452201008984*y^18 + 8927060406316538*y^19 + 6682098169469498*y^20 + 2231147163923114*y^21 - 2109838576479080*y^22 - 4198965645786968*y^23 - 3675443930818572*y^24 - 1873963674136328*y^25 - 371624119231892*y^26 + 205271325295212*y^27 + 160576908762194*y^28 - 510594106476*y^29 - 57667036637980*y^30 - 39234735670028*y^31 - 9421587189974*y^32 + 15452629910184*y^33 + 35301789844108*y^34 + 42162175643095*y^35 + 32318974825463*y^36 + 15109458244143*y^37 + 2714898977384*y^38 - 1043620881378*y^39 + 170819352*y^40 + 1261320897240*y^41 + 1199991664902*y^42 + 476904424185*y^43 - 63328246276*y^44 - 209274210865*y^45 - 142446485098*y^46 - 51528030431*y^47 - 4074911930*y^48 + 7937242840*y^49 + 6312137820*y^50 + 3007583555*y^51 + 1100591231*y^52 + 342930679*y^53 + 99588568*y^54 + 29122184*y^55 + 8701438*y^56 + 2512780*y^57 + 653110*y^58 + 144820*y^59 + 26317*y^60 + 3760*y^61 + 398*y^62 + 28*y^63 + y^64)", "y^3*(-1 - y + y^2 + 4*y^3 + 3*y^4 + y^5)*(64 - 464*y - 8072*y^2 - 38913*y^3 - 71449*y^4 + 146979*y^5 + 1371764*y^6 + 4480290*y^7 + 7726388*y^8 + 92944*y^9 - 46810694*y^10 - 176011665*y^11 - 404594174*y^12 - 605365303*y^13 - 270441142*y^14 + 1856572387*y^15 + 8228439172*y^16 + 22870328588*y^17 + 51427896392*y^18 + 100587932634*y^19 + 176667399094*y^20 + 283441550902*y^21 + 419683791536*y^22 + 577258660452*y^23 + 740727584996*y^24 + 889135372944*y^25 + 999956369724*y^26 + 1054320470604*y^27 + 1041978757118*y^28 + 964343843572*y^29 + 834476716916*y^30 + 673915464900*y^31 + 507341040446*y^32 + 356794092940*y^33 + 237209094956*y^34 + 154432401219*y^35 + 105932103583*y^36 + 83504343763*y^37 + 76771633788*y^38 + 76277829554*y^39 + 75403420352*y^40 + 70904534892*y^41 + 62365955066*y^42 + 51101786329*y^43 + 39023990016*y^44 + 27817818895*y^45 + 18537158242*y^46 + 11557801057*y^47 + 6743582734*y^48 + 3679848244*y^49 + 1875390084*y^50 + 890671711*y^51 + 392976355*y^52 + 160424291*y^53 + 60279516*y^54 + 20711772*y^55 + 6453982*y^56 + 1804892*y^57 + 446898*y^58 + 96224*y^59 + 17573*y^60 + 2624*y^61 + 302*y^62 + 24*y^63 + y^64)", "(-1 + y)^3*(-1 - y - 3*y^2 + 8*y^3 - 5*y^4 + y^5)*(1 - 294*y + 2281*y^2 - 4773*y^3 - 16120*y^4 + 40697*y^5 - 257350*y^6 + 982660*y^7 + 2875667*y^8 - 19044515*y^9 + 2142*y^10 + 143594806*y^11 - 164094154*y^12 - 549761836*y^13 + 1280309161*y^14 + 703316255*y^15 - 4823905974*y^16 + 3030120476*y^17 + 8686937062*y^18 - 15782630934*y^19 + 671590172*y^20 + 25072092422*y^21 - 29806743052*y^22 + 8691410720*y^23 + 14969115732*y^24 - 47121426458*y^25 + 114874951818*y^26 - 141412706946*y^27 - 70281556098*y^28 + 519058337450*y^29 - 689654050578*y^30 - 41781121158*y^31 + 1381024522827*y^32 - 1864194652302*y^33 + 332791063953*y^34 + 2284198281255*y^35 - 3384913012752*y^36 + 1396155900897*y^37 + 2256869658598*y^38 - 4379406202388*y^39 + 3149710281405*y^40 + 259124588425*y^41 - 3053085899904*y^42 + 3381578883604*y^43 - 1525762945088*y^44 - 912972346166*y^45 + 2519331718533*y^46 - 2865610441445*y^47 + 2330866766835*y^48 - 1513680689562*y^49 + 819032912069*y^50 - 376899708285*y^51 + 149048492686*y^52 - 50890760511*y^53 + 15014098646*y^54 - 3818410624*y^55 + 832668456*y^56 - 154364059*y^57 + 24025061*y^58 - 3083641*y^59 + 318083*y^60 - 25367*y^61 + 1469*y^62 - 55*y^63 + y^64)", "(-1 + y)^3*(-1 - y - 3*y^2 + 8*y^3 - 5*y^4 + y^5)*(1 - 294*y + 2281*y^2 - 4773*y^3 - 16120*y^4 + 40697*y^5 - 257350*y^6 + 982660*y^7 + 2875667*y^8 - 19044515*y^9 + 2142*y^10 + 143594806*y^11 - 164094154*y^12 - 549761836*y^13 + 1280309161*y^14 + 703316255*y^15 - 4823905974*y^16 + 3030120476*y^17 + 8686937062*y^18 - 15782630934*y^19 + 671590172*y^20 + 25072092422*y^21 - 29806743052*y^22 + 8691410720*y^23 + 14969115732*y^24 - 47121426458*y^25 + 114874951818*y^26 - 141412706946*y^27 - 70281556098*y^28 + 519058337450*y^29 - 689654050578*y^30 - 41781121158*y^31 + 1381024522827*y^32 - 1864194652302*y^33 + 332791063953*y^34 + 2284198281255*y^35 - 3384913012752*y^36 + 1396155900897*y^37 + 2256869658598*y^38 - 4379406202388*y^39 + 3149710281405*y^40 + 259124588425*y^41 - 3053085899904*y^42 + 3381578883604*y^43 - 1525762945088*y^44 - 912972346166*y^45 + 2519331718533*y^46 - 2865610441445*y^47 + 2330866766835*y^48 - 1513680689562*y^49 + 819032912069*y^50 - 376899708285*y^51 + 149048492686*y^52 - 50890760511*y^53 + 15014098646*y^54 - 3818410624*y^55 + 832668456*y^56 - 154364059*y^57 + 24025061*y^58 - 3083641*y^59 + 318083*y^60 - 25367*y^61 + 1469*y^62 - 55*y^63 + y^64)" ] }, "GeometricRepresentation":[ 1.5345500000000001e1, [ "J11a_20_0", 1, "{58, 59}" ] ] } }