{
	"Index":66,
	"Name":"9_31",
	"RolfsenName":"9_31",
	"DTname":"9a_13",
	"TunnelNumber":1,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":true,
	"Diagram":{
		"Scode":"{8, -10, 12, 18, -16, 14, 6, -4, 2}",
		"Acode":"{5, -6, 7, 1, -9, 8, 4, -3, 2}",
		"PDcode":[
			"{1, 9, 2, 8}",
			"{3, 10, 4, 11}",
			"{5, 13, 6, 12}",
			"{7, 1, 8, 18}",
			"{9, 16, 10, 17}",
			"{11, 15, 12, 14}",
			"{13, 7, 14, 6}",
			"{15, 4, 16, 5}",
			"{17, 3, 18, 2}"
		],
		"CBtype":"{2, 0}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{7, 4}",
				[],
				[
					"{7, 4, 8, 1}",
					"{4, 7, 3, 2}",
					"{8, -3, 9, 1}",
					"{7, 8, 6, 2}",
					"{3, -6, 2, 2}",
					"{9, 2, 1, 1}",
					"{6, -9, 5, 2}"
				],
				"{4}",
				"{1}",
				1
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"-1 - u + u^2 + 2*u^3 - 2*u^4 - 7*u^5 + 4*u^6 + 14*u^7 - 5*u^8 - 31*u^9 + 3*u^10 + 64*u^11 - u^12 - 124*u^13 + 214*u^15 - 339*u^17 + 498*u^19 - 699*u^21 + 936*u^23 - 1148*u^25 + 1216*u^27 - 1064*u^29 + 746*u^31 - 409*u^33 + 170*u^35 - 51*u^37 + 10*u^39 - u^41",
						"u - u^3 + u^4 + u^5 - 6*u^7 - 2*u^8 + 13*u^9 + 2*u^10 - 31*u^11 - u^12 + 62*u^13 - 114*u^15 + 191*u^17 - 311*u^19 + 469*u^21 - 634*u^23 + 762*u^25 - 828*u^27 + 810*u^29 - 694*u^31 + 499*u^33 - 289*u^35 + 129*u^37 - 42*u^39 + 9*u^41 - u^43"
					],
					"TimingForPrimaryIdeals":9.113500000000001e-2
				},
				"v":{
					"CheckEq":[
						"-1 + v"
					],
					"TimingForPrimaryIdeals":6.7849e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J9_31_0",
						"Generators":[
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7"
						],
						"VariableOrder":[
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.8955000000000005e-2,
							"TimingZeroDimVars":1.6336e-2,
							"TimingmagmaVCompNormalize":1.7414000000000002e-2,
							"TimingNumberOfSols":1.9275e-2,
							"TimingIsRadical":1.4750000000000004e-3,
							"TimingArcColoring":4.2478e-2,
							"TimingObstruction":5.0869999999999995e-3,
							"TimingComplexVolumeN":5.230901,
							"TimingaCuspShapeN":2.8727000000000006e-2,
							"TiminguValues":0.584307,
							"TiminguPolysN":2.268e-3,
							"TiminguPolys":0.734591,
							"TimingaCuspShape":9.547000000000001e-2,
							"TimingRepresentationsN":2.1082999999999998e-2,
							"TiminguValues_ij":0.113858,
							"TiminguPoly_ij":1.004068,
							"TiminguPolys_ij_N":4.7e-3
						},
						"ZeroDimensionalVars":[
							"u"
						],
						"NumberOfSols":7,
						"IsRadical":true,
						"ArcColoring":[
							[
								1,
								"1 + u^3 + u^4 - u^6"
							],
							[
								"-1 + u^2",
								"-1 + u - 2*u^3 + u^4 + u^5"
							],
							[
								"u",
								"u"
							],
							[
								0,
								"u"
							],
							[
								"-u",
								"-1 + u^2 - 2*u^3 - u^4 + u^5"
							],
							[
								"1 - u^2",
								"-u^4"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"1 - u^2 + u^4",
								"u^4"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-5.94607 - 3.76357*I",
							"-5.94607 + 3.76357*I",
							"1.82567 + 1.84683*I",
							"1.82567 - 1.84683*I",
							"-2.65707 + 11.6863*I",
							"-2.65707 - 11.6863*I",
							-1.24946
						],
						"uPolysN":[
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"4 - 4*u - 5*u^2 + 15*u^3 - 17*u^4 + 12*u^5 - 5*u^6 + u^7",
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7",
							"1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7",
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7",
							"1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7"
						],
						"uPolys":[
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"4 - 4*u - 5*u^2 + 15*u^3 - 17*u^4 + 12*u^5 - 5*u^6 + u^7",
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7",
							"1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7",
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7",
							"1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7"
						],
						"aCuspShape":"-6 + 4*u - 4*u^2 - 8*u^3 + 4*u^4 + 4*u^5",
						"RepresentationsN":[
							[
								"u->1.12511 + 0.343189 I"
							],
							[
								"u->1.12511 - 0.343189 I"
							],
							[
								"u->0.364544 + 0.701794 I"
							],
							[
								"u->0.364544 - 0.701794 I"
							],
							[
								"u->-1.12583 + 0.56629 I"
							],
							[
								"u->-1.12583 - 0.56629 I"
							],
							[
								"u->-0.727635"
							]
						],
						"Epsilon":0.686378,
						"uPolys_ij":[
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7",
							"1 + 2*u + u^2 + 24*u^3 + 4*u^4 + 8*u^5 + u^7",
							"1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7",
							"7 + 14*u + 13*u^2 + 14*u^3 + 6*u^4 + 6*u^5 - 2*u^6 + u^7",
							"4 - 4*u - 5*u^2 + 15*u^3 - 17*u^4 + 12*u^5 - 5*u^6 + u^7",
							"11 + 62*u + 29*u^2 + 90*u^3 + 4*u^4 - 14*u^5 - 2*u^6 + u^7",
							"11 + 44*u + 69*u^2 + 54*u^3 + 12*u^4 - 8*u^5 - 2*u^6 + u^7",
							"11 - 22*u - 7*u^2 + 46*u^3 + 24*u^4 + 16*u^5 + 2*u^6 + u^7",
							"32 - 32*u - 24*u^2 + 80*u^3 - 72*u^4 + 35*u^5 - 9*u^6 + u^7",
							"-1 + 6*u + 19*u^2 + 20*u^3 + 16*u^4 + 12*u^5 + 4*u^6 + u^7",
							"32 + 112*u + 264*u^2 + 380*u^3 + 260*u^4 + 89*u^5 + 15*u^6 + u^7",
							"16 + 108*u + 199*u^2 + 217*u^3 + 143*u^4 + 54*u^5 + 11*u^6 + u^7",
							"-16 + 56*u - 9*u^2 - u^3 + 13*u^4 + 4*u^5 - u^6 + u^7"
						],
						"GeometricComponent":"{5, 6}",
						"uPolys_ij_N":[
							"1 - u^2 + 2*u^3 - 2*u^5 + u^7",
							"1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7",
							"1 + 2*u + u^2 + 24*u^3 + 4*u^4 + 8*u^5 + u^7",
							"1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7",
							"7 + 14*u + 13*u^2 + 14*u^3 + 6*u^4 + 6*u^5 - 2*u^6 + u^7",
							"4 - 4*u - 5*u^2 + 15*u^3 - 17*u^4 + 12*u^5 - 5*u^6 + u^7",
							"11 + 62*u + 29*u^2 + 90*u^3 + 4*u^4 - 14*u^5 - 2*u^6 + u^7",
							"11 + 44*u + 69*u^2 + 54*u^3 + 12*u^4 - 8*u^5 - 2*u^6 + u^7",
							"11 - 22*u - 7*u^2 + 46*u^3 + 24*u^4 + 16*u^5 + 2*u^6 + u^7",
							"32 - 32*u - 24*u^2 + 80*u^3 - 72*u^4 + 35*u^5 - 9*u^6 + u^7",
							"-1 + 6*u + 19*u^2 + 20*u^3 + 16*u^4 + 12*u^5 + 4*u^6 + u^7",
							"32 + 112*u + 264*u^2 + 380*u^3 + 260*u^4 + 89*u^5 + 15*u^6 + u^7",
							"16 + 108*u + 199*u^2 + 217*u^3 + 143*u^4 + 54*u^5 + 11*u^6 + u^7",
							"-16 + 56*u - 9*u^2 - u^3 + 13*u^4 + 4*u^5 - u^6 + u^7"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{1, 4}",
								"{1, 5}",
								"{2, 5}",
								"{3, 7}",
								"{4, 7}",
								"{4, 8}"
							],
							[
								"{1, 2}",
								"{2, 9}",
								"{3, 4}",
								"{4, 5}",
								"{6, 8}",
								"{7, 8}"
							],
							[
								"{1, 9}",
								"{6, 7}",
								"{7, 9}"
							],
							[
								"{2, 4}",
								"{3, 8}",
								"{3, 9}",
								"{4, 6}",
								"{5, 9}",
								"{6, 9}"
							],
							[
								"{1, 6}",
								"{2, 8}"
							],
							[
								"{2, 6}",
								"{3, 6}",
								"{4, 9}"
							],
							[
								"{1, 3}",
								"{5, 7}"
							],
							[
								"{5, 8}"
							],
							[
								"{2, 7}"
							],
							[
								"{3, 5}"
							],
							[
								"{5, 6}",
								"{8, 9}"
							],
							[
								"{1, 7}"
							],
							[
								"{1, 8}"
							],
							[
								"{2, 3}"
							]
						],
						"SortedReprnIndices":"{5, 6, 2, 1, 3, 4, 7}",
						"aCuspShapeN":[
							"-10.6045983509388637988`5.118247087101407 + 4.2445944273562735844`4.720589062392877*I",
							"-10.6045983509388637988`5.118247087101407 - 4.2445944273562735844`4.720589062392877*I",
							"1.1281482348103343929`5.006717269749627 - 1.0932442057219928419`4.993068285775902*I",
							"1.1281482348103343929`5.006717269749627 + 1.0932442057219928419`4.993068285775902*I",
							"-5.7030661352580461992`4.884430797606321 - 8.8450899016526685522`5.075024641167676*I",
							"-5.7030661352580461992`4.884430797606321 + 8.8450899016526685522`5.075024641167676*I",
							-7.641
						],
						"Abelian":false
					},
					{
						"IdealName":"J9_31_1",
						"Generators":[
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20"
						],
						"VariableOrder":[
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.6656e-2,
							"TimingZeroDimVars":1.6481e-2,
							"TimingmagmaVCompNormalize":1.7587e-2,
							"TimingNumberOfSols":3.3189e-2,
							"TimingIsRadical":1.564e-3,
							"TimingArcColoring":4.6148e-2,
							"TimingObstruction":2.1585e-2,
							"TimingComplexVolumeN":1.5271635e1,
							"TimingaCuspShapeN":8.9245e-2,
							"TiminguValues":0.593252,
							"TiminguPolysN":2.303e-2,
							"TiminguPolys":0.757913,
							"TimingaCuspShape":9.957e-2,
							"TimingRepresentationsN":3.705e-2,
							"TiminguValues_ij":0.119808,
							"TiminguPolys_ij_N":4.8952e-2
						},
						"ZeroDimensionalVars":[
							"u"
						],
						"NumberOfSols":20,
						"IsRadical":true,
						"ArcColoring":[
							[
								"-2*u - 3*u^2 + u^3 + 6*u^4 - u^5 - 11*u^6 - 2*u^7 + 18*u^8 + 10*u^9 - 23*u^10 - 19*u^11 + 21*u^12 + 20*u^13 - 13*u^14 - 13*u^15 + 5*u^16 + 5*u^17 - u^18 - u^19",
								"-1 - u + u^3 - 3*u^5 + 4*u^7 - 3*u^9 + u^11"
							],
							[
								"2*u^3 - 2*u^5 + u^7",
								"u + u^5 - u^7 + u^9"
							],
							[
								"u",
								"u"
							],
							[
								0,
								"u"
							],
							[
								"1 - u^2 + 2*u^4 - 4*u^6 + 5*u^8 - 3*u^10 + u^12",
								"-u^4 + 2*u^8 - 2*u^10 + u^12"
							],
							[
								"1 - u^2",
								"-u^4"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"1 - u^2 + u^4",
								"u^4"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							0.197299,
							0.197299,
							"-2.2734 + 0.51998*I",
							"-2.2734 - 0.51998*I",
							"1.1196 + 4.65452*I",
							"1.1196 - 4.65452*I",
							"-4.83313 + 3.92983*I",
							"-4.83313 - 3.92983*I",
							"1.1196 - 4.65452*I",
							"1.1196 + 4.65452*I",
							"-0.32496 - 6.68616*I",
							"-0.32496 + 6.68616*I",
							2.55688,
							2.55688,
							"-4.83313 + 3.92983*I",
							"-4.83313 - 3.92983*I",
							"-0.32496 - 6.68616*I",
							"-0.32496 + 6.68616*I",
							"-2.2734 + 0.51998*I",
							"-2.2734 - 0.51998*I"
						],
						"uPolysN":[
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"1 - 10*u^2 - 12*u^3 + 27*u^4 + 72*u^5 + 34*u^6 - 72*u^7 - 109*u^8 - 32*u^9 + 36*u^10 + 16*u^11 - 16*u^12 + 4*u^13 + 34*u^14 + 28*u^15 + 9*u^16 + 4*u^17 + 6*u^18 + 4*u^19 + u^20",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20",
							"1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20",
							"1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20"
						],
						"uPolys":[
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"(1 - 5*u^2 - 6*u^3 + u^4 + 6*u^5 + 4*u^6 + u^8 + 2*u^9 + u^10)^2",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20",
							"1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20",
							"1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20"
						],
						"aCuspShape":"-2 + 4*u + 4*u^2 - 8*u^3 - 8*u^4 + 8*u^5 + 16*u^6 - 4*u^7 - 28*u^8 + 44*u^10 - 48*u^12 + 36*u^14 - 16*u^16 + 4*u^18",
						"RepresentationsN":[
							[
								"u->-0.941429 + 0.547698 I"
							],
							[
								"u->-0.941429 - 0.547698 I"
							],
							[
								"u->-1.06104 + 0.273586 I"
							],
							[
								"u->-1.06104 - 0.273586 I"
							],
							[
								"u->-0.626658 + 0.633601 I"
							],
							[
								"u->-0.626658 - 0.633601 I"
							],
							[
								"u->1.12877 + 0.240119 I"
							],
							[
								"u->1.12877 - 0.240119 I"
							],
							[
								"u->1.01636 + 0.55237 I"
							],
							[
								"u->1.01636 - 0.55237 I"
							],
							[
								"u->-0.330984 + 0.758157 I"
							],
							[
								"u->-0.330984 - 0.758157 I"
							],
							[
								"u->0.527984 + 0.630206 I"
							],
							[
								"u->0.527984 - 0.630206 I"
							],
							[
								"u->-1.11957 + 0.508145 I"
							],
							[
								"u->-1.11957 - 0.508145 I"
							],
							[
								"u->1.1021 + 0.557039 I"
							],
							[
								"u->1.1021 - 0.557039 I"
							],
							[
								"u->-0.195538 + 0.653472 I"
							],
							[
								"u->-0.195538 - 0.653472 I"
							]
						],
						"Epsilon":8.58634e-2,
						"uPolys_ij_N":[
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20",
							"1 - 4*u + 22*u^2 - 133*u^3 + 485*u^4 - 1261*u^5 + 2573*u^6 - 3698*u^7 + 3693*u^8 - 3246*u^9 + 2670*u^10 - 1917*u^11 + 1393*u^12 - 714*u^13 + 461*u^14 - 181*u^15 + 116*u^16 - 35*u^17 + 18*u^18 - 3*u^19 + u^20",
							"5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20",
							"1 - 10*u^2 - 12*u^3 + 27*u^4 + 72*u^5 + 34*u^6 - 72*u^7 - 109*u^8 - 32*u^9 + 36*u^10 + 16*u^11 - 16*u^12 + 4*u^13 + 34*u^14 + 28*u^15 + 9*u^16 + 4*u^17 + 6*u^18 + 4*u^19 + u^20",
							"25 + 204*u + 642*u^2 + 917*u^3 + 529*u^4 + 73*u^5 + 45*u^6 + 118*u^7 + 337*u^8 - 30*u^9 + 270*u^10 - 255*u^11 + 65*u^12 - 134*u^13 + 61*u^14 + 9*u^15 + 52*u^16 + 19*u^17 + 14*u^18 + 3*u^19 + u^20",
							"199 + 148*u + 1184*u^2 + 569*u^3 + 2663*u^4 + 825*u^5 + 2987*u^6 + 926*u^7 + 2109*u^8 + 728*u^9 + 1140*u^10 + 391*u^11 + 473*u^12 + 134*u^13 + 153*u^14 + 15*u^15 + 40*u^16 + u^17 + 8*u^18 + u^19 + u^20",
							"5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20",
							"103 + 398*u + 1090*u^2 + 2605*u^3 + 4901*u^4 + 7269*u^5 + 8231*u^6 + 6984*u^7 + 4909*u^8 + 2864*u^9 + 2606*u^10 + 2145*u^11 + 1105*u^12 + 844*u^13 + 345*u^14 + 155*u^15 + 106*u^16 + 3*u^17 + 18*u^18 - u^19 + u^20",
							"1 - 20*u + 154*u^2 - 616*u^3 + 1559*u^4 - 2824*u^5 + 4118*u^6 - 5272*u^7 + 5987*u^8 - 5892*u^9 + 5128*u^10 - 4096*u^11 + 2868*u^12 - 1760*u^13 + 986*u^14 - 452*u^15 + 201*u^16 - 64*u^17 + 22*u^18 - 4*u^19 + u^20",
							"25 + 230*u + 679*u^2 + 750*u^3 + 791*u^4 + 1764*u^5 + 1986*u^6 + 636*u^7 + 277*u^8 + 930*u^9 + 169*u^10 - 1038*u^11 - 643*u^12 + 332*u^13 + 418*u^14 + 36*u^15 - 97*u^16 - 34*u^17 + 7*u^18 + 6*u^19 + u^20",
							"1 + 22*u + 83*u^2 - 374*u^3 + 743*u^4 - 1868*u^5 + 3370*u^6 - 4380*u^7 + 5741*u^8 - 6558*u^9 + 5757*u^10 - 4762*u^11 + 4141*u^12 - 3044*u^13 + 1770*u^14 - 996*u^15 + 583*u^16 - 274*u^17 + 83*u^18 - 14*u^19 + u^20",
							"5 + 62*u + 302*u^2 + 581*u^3 - 125*u^4 - 1869*u^5 - 1347*u^6 + 1668*u^7 + 2633*u^8 - 182*u^9 - 2088*u^10 - 605*u^11 + 1033*u^12 + 494*u^13 - 331*u^14 - 141*u^15 + 78*u^16 + 17*u^17 - 12*u^18 - u^19 + u^20",
							"1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20",
							"683 + 3134*u + 6416*u^2 + 8249*u^3 + 5931*u^4 - 2263*u^5 - 9557*u^6 - 7000*u^7 + 933*u^8 + 3998*u^9 + 1832*u^10 - 3*u^11 - 153*u^12 - 128*u^13 - 101*u^14 + 21*u^15 + 24*u^16 - 11*u^17 - 4*u^18 + 3*u^19 + u^20",
							"25 + 204*u + 642*u^2 + 917*u^3 + 529*u^4 + 73*u^5 + 45*u^6 + 118*u^7 + 337*u^8 - 30*u^9 + 270*u^10 - 255*u^11 + 65*u^12 - 134*u^13 + 61*u^14 + 9*u^15 + 52*u^16 + 19*u^17 + 14*u^18 + 3*u^19 + u^20",
							"199 + 148*u + 1184*u^2 + 569*u^3 + 2663*u^4 + 825*u^5 + 2987*u^6 + 926*u^7 + 2109*u^8 + 728*u^9 + 1140*u^10 + 391*u^11 + 473*u^12 + 134*u^13 + 153*u^14 + 15*u^15 + 40*u^16 + u^17 + 8*u^18 + u^19 + u^20",
							"5 + 62*u + 302*u^2 + 581*u^3 - 125*u^4 - 1869*u^5 - 1347*u^6 + 1668*u^7 + 2633*u^8 - 182*u^9 - 2088*u^10 - 605*u^11 + 1033*u^12 + 494*u^13 - 331*u^14 - 141*u^15 + 78*u^16 + 17*u^17 - 12*u^18 - u^19 + u^20",
							"1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20",
							"1 - 4*u + 22*u^2 - 133*u^3 + 485*u^4 - 1261*u^5 + 2573*u^6 - 3698*u^7 + 3693*u^8 - 3246*u^9 + 2670*u^10 - 1917*u^11 + 1393*u^12 - 714*u^13 + 461*u^14 - 181*u^15 + 116*u^16 - 35*u^17 + 18*u^18 - 3*u^19 + u^20",
							"1 + 20*u + 138*u^2 + 236*u^3 - 985*u^4 - 1764*u^5 + 7230*u^6 - 6744*u^7 - 1065*u^8 + 6220*u^9 - 3604*u^10 - 1060*u^11 + 2240*u^12 - 840*u^13 - 270*u^14 + 352*u^15 - 99*u^16 - 24*u^17 + 26*u^18 - 8*u^19 + u^20"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"ij_list":[
							[
								"{3, 7}",
								"{4, 7}",
								"{4, 8}"
							],
							[
								"{3, 4}",
								"{6, 8}",
								"{7, 8}"
							],
							[
								"{6, 7}",
								"{7, 9}"
							],
							[
								"{3, 8}",
								"{3, 9}",
								"{4, 6}"
							],
							[
								"{2, 6}",
								"{3, 6}",
								"{4, 9}"
							],
							[
								"{8, 9}"
							],
							[
								"{2, 8}"
							],
							[
								"{2, 4}",
								"{5, 9}",
								"{6, 9}"
							],
							[
								"{2, 7}"
							],
							[
								"{2, 3}"
							],
							[
								"{3, 5}"
							],
							[
								"{1, 7}"
							],
							[
								"{5, 7}"
							],
							[
								"{1, 2}",
								"{2, 9}",
								"{4, 5}"
							],
							[
								"{5, 8}"
							],
							[
								"{5, 6}"
							],
							[
								"{1, 6}"
							],
							[
								"{1, 3}"
							],
							[
								"{1, 4}",
								"{1, 5}",
								"{2, 5}"
							],
							[
								"{1, 9}"
							],
							[
								"{1, 8}"
							]
						],
						"SortedReprnIndices":"{12, 18, 11, 17, 5, 10, 6, 9, 7, 15, 8, 16, 3, 19, 4, 20, 13, 14, 1, 2}",
						"aCuspShapeN":[
							"-2.2662537731697310904`5.1505149978318645 + 0``4.795206457654751*I",
							"-2.2662537731697310904`5.1505149978318645 + 0``4.795206457654751*I",
							"-5.7166139183004110579`5.146559724228838 - 0.775051584751207205`4.278751470481253*I",
							"-5.7166139183004110579`5.146559724228838 + 0.775051584751207205`4.278751470481253*I",
							"-0.7965394934624864162`4.26676680394174 - 6.0424693565358918112`5.146773947013239*I",
							"-0.7965394934624864162`4.26676680394174 + 6.0424693565358918112`5.146773947013239*I",
							"-9.0439963362435992479`5.124679057801525 - 3.2147069505790067515`4.675460069283153*I",
							"-9.0439963362435992479`5.124679057801525 + 3.2147069505790067515`4.675460069283153*I",
							"-0.7965394934624864277`4.26676680394174 + 6.04246935653589179`5.146773947013239*I",
							"-0.7965394934624864277`4.26676680394174 - 6.04246935653589179`5.146773947013239*I",
							"-2.4933077859788150284`4.784999352833735 + 5.2199443371357876651`5.1058893315369245*I",
							"-2.4933077859788150284`4.784999352833735 - 5.2199443371357876651`5.1058893315369245*I",
							"2.3671688411403546113`5.150514997831991 + 0``4.776285762226333*I",
							"2.3671688411403546113`5.150514997831991 + 0``4.776285762226333*I",
							"-9.0439963362435991832`5.124679057801525 - 3.2147069505790066675`4.675460069283153*I",
							"-9.0439963362435991832`5.124679057801525 + 3.2147069505790066675`4.675460069283153*I",
							"-2.4933077859788149681`4.784999352833735 + 5.2199443371357876199`5.1058893315369245*I",
							"-2.4933077859788149681`4.784999352833735 - 5.2199443371357876199`5.1058893315369245*I",
							"-5.7166139183004110606`5.146559724228838 - 0.7750515847512072234`4.278751470481253*I",
							"-5.7166139183004110606`5.146559724228838 + 0.7750515847512072234`4.278751470481253*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"abJ9_31_2",
						"Generators":[
							"-1 + v"
						],
						"VariableOrder":[
							"v"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.4433999999999994e-2,
							"TimingZeroDimVars":1.5902e-2,
							"TimingmagmaVCompNormalize":1.6932e-2,
							"TimingNumberOfSols":1.7431000000000002e-2,
							"TimingIsRadical":1.462e-3,
							"TimingArcColoring":3.9788000000000004e-2,
							"TimingObstruction":3.64e-4,
							"TimingComplexVolumeN":0.298407,
							"TimingaCuspShapeN":3.857e-3,
							"TiminguValues":0.568443,
							"TiminguPolysN":7.8e-5,
							"TiminguPolys":0.732614,
							"TimingaCuspShape":8.7827e-2,
							"TimingRepresentationsN":1.8719e-2,
							"TiminguValues_ij":9.818199999999999e-2,
							"TiminguPoly_ij":0.116173,
							"TiminguPolys_ij_N":2.7000000000000002e-5
						},
						"ZeroDimensionalVars":[
							"v"
						],
						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{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"
						],
						"uPolys":[
							"u",
							"u",
							"u",
							"u",
							"u",
							"u",
							"u",
							"u",
							"u"
						],
						"aCuspShape":0,
						"RepresentationsN":[
							[
								"v->1."
							]
						],
						"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}",
								"{2, 3}",
								"{2, 4}",
								"{2, 5}",
								"{2, 6}",
								"{2, 7}",
								"{2, 8}",
								"{2, 9}",
								"{3, 4}",
								"{3, 5}",
								"{3, 6}",
								"{3, 7}",
								"{3, 8}",
								"{3, 9}",
								"{4, 5}",
								"{4, 6}",
								"{4, 7}",
								"{4, 8}",
								"{4, 9}",
								"{5, 6}",
								"{5, 7}",
								"{5, 8}",
								"{5, 9}",
								"{6, 7}",
								"{6, 8}",
								"{6, 9}",
								"{7, 8}",
								"{7, 9}",
								"{8, 9}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":"{0}",
						"Abelian":true
					}
				]
			},
			"uPolyC":[
				"(1 - u^2 + 2*u^3 - 2*u^5 + u^7)*(1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20)",
				"(4 - 4*u - 5*u^2 + 15*u^3 - 17*u^4 + 12*u^5 - 5*u^6 + u^7)*(1 - 5*u^2 - 6*u^3 + u^4 + 6*u^5 + 4*u^6 + u^8 + 2*u^9 + u^10)^2",
				"(1 - u^2 + 2*u^3 - 2*u^5 + u^7)*(1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20)",
				"(1 - u^2 + 2*u^3 - 2*u^5 + u^7)*(1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20)",
				"(1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7)*(5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20)",
				"(1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7)*(1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20)",
				"(1 - u^2 + 2*u^3 - 2*u^5 + u^7)*(1 + 2*u + 2*u^2 - u^3 - 3*u^4 + u^5 + 7*u^6 + 2*u^7 - 11*u^8 - 10*u^9 + 10*u^10 + 19*u^11 - u^12 - 20*u^13 - 7*u^14 + 13*u^15 + 8*u^16 - 5*u^17 - 4*u^18 + u^19 + u^20)",
				"(1 + 2*u - u^2 + 4*u^3 - 2*u^4 + 2*u^5 + u^7)*(5 + 16*u + 46*u^2 + 77*u^3 + 99*u^4 + 81*u^5 + 33*u^6 - 8*u^7 - 9*u^8 + 22*u^9 + 40*u^10 + 35*u^11 + 27*u^12 + 32*u^13 + 35*u^14 + 27*u^15 + 16*u^16 + 9*u^17 + 6*u^18 + 3*u^19 + u^20)",
				"(1 + 2*u + u^2 + 4*u^3 + 8*u^4 + 8*u^5 + 4*u^6 + u^7)*(1 + 2*u^2 + 3*u^3 + 9*u^4 + 23*u^5 + 53*u^6 + 98*u^7 + 165*u^8 + 258*u^9 + 382*u^10 + 527*u^11 + 661*u^12 + 722*u^13 + 661*u^14 + 491*u^15 + 288*u^16 + 129*u^17 + 42*u^18 + 9*u^19 + u^20)"
			],
			"RileyPolyC":[
				"(-1 + 2*y - y^2 + 4*y^3 - 8*y^4 + 8*y^5 - 4*y^6 + y^7)*(1 + 2*y^2 - 3*y^3 + 9*y^4 - 23*y^5 + 53*y^6 - 98*y^7 + 165*y^8 - 258*y^9 + 382*y^10 - 527*y^11 + 661*y^12 - 722*y^13 + 661*y^14 - 491*y^15 + 288*y^16 - 129*y^17 + 42*y^18 - 9*y^19 + y^20)",
				"(-16 + 56*y - 9*y^2 - y^3 + 13*y^4 + 4*y^5 - y^6 + y^7)*(1 - 10*y + 27*y^2 - 38*y^3 + 35*y^4 - 36*y^5 + 32*y^6 - 14*y^7 + 9*y^8 - 2*y^9 + y^10)^2",
				"(-1 + 2*y - y^2 + 4*y^3 - 8*y^4 + 8*y^5 - 4*y^6 + y^7)*(1 + 2*y^2 - 3*y^3 + 9*y^4 - 23*y^5 + 53*y^6 - 98*y^7 + 165*y^8 - 258*y^9 + 382*y^10 - 527*y^11 + 661*y^12 - 722*y^13 + 661*y^14 - 491*y^15 + 288*y^16 - 129*y^17 + 42*y^18 - 9*y^19 + y^20)",
				"(-1 + 2*y - y^2 + 4*y^3 - 8*y^4 + 8*y^5 - 4*y^6 + y^7)*(1 + 2*y^2 - 3*y^3 + 9*y^4 - 23*y^5 + 53*y^6 - 98*y^7 + 165*y^8 - 258*y^9 + 382*y^10 - 527*y^11 + 661*y^12 - 722*y^13 + 661*y^14 - 491*y^15 + 288*y^16 - 129*y^17 + 42*y^18 - 9*y^19 + y^20)",
				"(-1 + 6*y + 19*y^2 + 20*y^3 + 16*y^4 + 12*y^5 + 4*y^6 + y^7)*(25 + 204*y + 642*y^2 + 917*y^3 + 529*y^4 + 73*y^5 + 45*y^6 + 118*y^7 + 337*y^8 - 30*y^9 + 270*y^10 - 255*y^11 + 65*y^12 - 134*y^13 + 61*y^14 + 9*y^15 + 52*y^16 + 19*y^17 + 14*y^18 + 3*y^19 + y^20)",
				"(-1 + 2*y - y^2 + 24*y^3 - 4*y^4 + 8*y^5 + y^7)*(1 + 4*y + 22*y^2 + 133*y^3 + 485*y^4 + 1261*y^5 + 2573*y^6 + 3698*y^7 + 3693*y^8 + 3246*y^9 + 2670*y^10 + 1917*y^11 + 1393*y^12 + 714*y^13 + 461*y^14 + 181*y^15 + 116*y^16 + 35*y^17 + 18*y^18 + 3*y^19 + y^20)",
				"(-1 + 2*y - y^2 + 4*y^3 - 8*y^4 + 8*y^5 - 4*y^6 + y^7)*(1 + 2*y^2 - 3*y^3 + 9*y^4 - 23*y^5 + 53*y^6 - 98*y^7 + 165*y^8 - 258*y^9 + 382*y^10 - 527*y^11 + 661*y^12 - 722*y^13 + 661*y^14 - 491*y^15 + 288*y^16 - 129*y^17 + 42*y^18 - 9*y^19 + y^20)",
				"(-1 + 6*y + 19*y^2 + 20*y^3 + 16*y^4 + 12*y^5 + 4*y^6 + y^7)*(25 + 204*y + 642*y^2 + 917*y^3 + 529*y^4 + 73*y^5 + 45*y^6 + 118*y^7 + 337*y^8 - 30*y^9 + 270*y^10 - 255*y^11 + 65*y^12 - 134*y^13 + 61*y^14 + 9*y^15 + 52*y^16 + 19*y^17 + 14*y^18 + 3*y^19 + y^20)",
				"(-1 + 2*y - y^2 + 24*y^3 - 4*y^4 + 8*y^5 + y^7)*(1 + 4*y + 22*y^2 + 133*y^3 + 485*y^4 + 1261*y^5 + 2573*y^6 + 3698*y^7 + 3693*y^8 + 3246*y^9 + 2670*y^10 + 1917*y^11 + 1393*y^12 + 714*y^13 + 461*y^14 + 181*y^15 + 116*y^16 + 35*y^17 + 18*y^18 + 3*y^19 + y^20)"
			]
		},
		"GeometricRepresentation":[
			1.1686300000000001e1,
			[
				"J9_31_0",
				1,
				"{5, 6}"
			]
		]
	}
}