{
	"Index":32,
	"Name":"8_18",
	"RolfsenName":"8_18",
	"DTname":"8a_12",
	"TunnelNumber":2,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":true,
	"Diagram":{
		"Scode":"{13, -15, 1, -3, 5, -7, 9, -11}",
		"Acode":"{7, -8, 1, -2, 3, -4, 5, -6}",
		"PDcode":[
			"{6, 2, 7, 1}",
			"{8, 3, 9, 4}",
			"{16, 11, 1, 12}",
			"{2, 14, 3, 13}",
			"{4, 15, 5, 16}",
			"{10, 6, 11, 5}",
			"{12, 7, 13, 8}",
			"{14, 10, 15, 9}"
		],
		"CBtype":"{3, 0}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{1, 7, 4}",
				[],
				[
					"{1, 7, 2, 1}",
					"{4, -2, 5, 1}",
					"{4, 1, 3, 2}",
					"{7, -4, 6, 2}",
					"{1, -6, 8, 2}"
				],
				"{2, 7}",
				"{5}",
				5
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"1 - a - b + 2*a*b*u^2 - a^2*b^2*u^2 - a^2*u^4 - a^3*b*u^4 + 3*a^4*b^2*u^4 - a^5*b^3*u^4 + a^4*u^6 - 2*a^5*b*u^6 + a^6*b^2*u^6",
						"-b + u^2 + 2*a*b*u^4 - 5*a^2*b^2*u^4 + 4*a^3*b^3*u^4 - a^4*b^4*u^4 - a^2*u^6 + 3*a^3*b*u^6 - 3*a^4*b^2*u^6 + a^5*b^3*u^6",
						"-1 - a^2*u - 2*a*b*u - b^2*u + a^2*u^2 - a^3*b*u^2 + 2*a^2*u^3 + 2*a*b*u^3 - a^2*u^5",
						"u - a*b*u - b^2*u - u^2 + 2*a*b*u^2 - a^2*b^2*u^2 - b^2*u^3 + a^2*u^5 + 2*a*b*u^5 - a^2*u^7"
					],
					"TimingForPrimaryIdeals":0.115003
				},
				"v":{
					"CheckEq":[
						"-1 + v + a*b*v + b^2*v - b^2*v^2 - a*b^3*v^2",
						"b^2*v - b^4*v^2",
						"1 - a - b - b^4*v^2 - b^6*v^4 - a*b^7*v^4",
						"-b - b^8*v^4"
					],
					"TimingForPrimaryIdeals":8.014500000000002e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J8_18_0",
						"Generators":[
							"b + u",
							"-2 + a + u^2 - u^3",
							"-1 + 2*u + u^2 - 2*u^3 + u^4"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":6.0414e-2,
							"TimingZeroDimVars":4.629e-2,
							"TimingmagmaVCompNormalize":4.7481999999999996e-2,
							"TimingNumberOfSols":4.3323e-2,
							"TimingIsRadical":1.769e-3,
							"TimingArcColoring":3.8701e-2,
							"TimingObstruction":2.264e-3,
							"TimingComplexVolumeN":3.229786,
							"TimingaCuspShapeN":1.3277e-2,
							"TiminguValues":0.513645,
							"TiminguPolysN":9.640000000000001e-4,
							"TiminguPolys":0.659888,
							"TimingaCuspShape":0.104558,
							"TimingRepresentationsN":4.2047999999999995e-2,
							"TiminguValues_ij":8.127700000000003e-2,
							"TiminguPoly_ij":0.486248,
							"TiminguPolys_ij_N":6.75e-4
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"2 - u - u^2 + u^3",
								"-u"
							],
							[
								"2 - u^2 + u^3",
								"-u"
							],
							[
								1,
								"-1 + 2*u^2 - u^3"
							],
							[
								"-2 + 2*u^2 - u^3",
								"1 - u^2 + u^3"
							],
							[
								0,
								"u"
							],
							[
								"-u",
								"1 - u^2"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							-1.71901,
							1.71901,
							"0. - 12.3509*I",
							"0. + 12.3509*I"
						],
						"uPolysN":[
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4",
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4",
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4",
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4"
						],
						"uPolys":[
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4",
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4",
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4",
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4"
						],
						"aCuspShape":"4*(1 + u - u^2 + u^3)",
						"RepresentationsN":[
							[
								"u->-0.883204",
								"a->0.53101",
								"b->0.883204"
							],
							[
								"u->0.46899",
								"a->1.8832",
								"b->-0.46899"
							],
							[
								"u->1.20711 + 0.97832 I",
								"a->-0.207107 + 0.978318 I",
								"b->-1.20711 - 0.97832 I"
							],
							[
								"u->1.20711 - 0.97832 I",
								"a->-0.207107 - 0.978318 I",
								"b->-1.20711 + 0.97832 I"
							]
						],
						"Epsilon":2.34207,
						"uPolys_ij":[
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"1 + 6*u + 7*u^2 + 2*u^3 + u^4",
							"1 - 6*u + 7*u^2 - 2*u^3 + u^4",
							"-4 + 6*u^2 - 4*u^3 + u^4",
							"-4 + 6*u^2 + 4*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4"
						],
						"GeometricComponent":"{3, 4}",
						"uPolys_ij_N":[
							"-1 + 2*u + u^2 - 2*u^3 + u^4",
							"1 + 6*u + 7*u^2 + 2*u^3 + u^4",
							"1 - 6*u + 7*u^2 - 2*u^3 + u^4",
							"-4 + 6*u^2 - 4*u^3 + u^4",
							"-4 + 6*u^2 + 4*u^3 + u^4",
							"-1 - 2*u + u^2 + 2*u^3 + u^4"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{1, 3}",
								"{1, 4}",
								"{1, 7}",
								"{2, 7}",
								"{3, 5}",
								"{3, 6}",
								"{5, 7}",
								"{5, 8}"
							],
							[
								"{1, 2}",
								"{3, 4}",
								"{5, 6}",
								"{7, 8}"
							],
							[
								"{1, 8}",
								"{2, 3}",
								"{4, 5}",
								"{6, 7}"
							],
							[
								"{2, 6}",
								"{4, 8}"
							],
							[
								"{1, 5}",
								"{3, 7}"
							],
							[
								"{1, 6}",
								"{2, 4}",
								"{2, 5}",
								"{2, 8}",
								"{3, 8}",
								"{4, 6}",
								"{4, 7}",
								"{6, 8}"
							]
						],
						"SortedReprnIndices":"{4, 3, 2, 1}",
						"aCuspShapeN":[
							-5.4088,
							5.4088,
							"0``4.2569448142123 + 7.8265467478281276514`5.150514997831991*I",
							"0``4.2569448142123 - 7.8265467478281276514`5.150514997831991*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_18_1a",
						"Generators":[
							"1 + b - 3*u + 2*u^2 - u^3",
							"-9 + 3*a + 15*u - 9*u^2 + 4*u^3",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":6.4735e-2,
							"TimingZeroDimVars":4.5746e-2,
							"TimingmagmaVCompNormalize":4.7008e-2,
							"TimingNumberOfSols":4.4084000000000005e-2,
							"TimingIsRadical":1.984e-3,
							"TimingArcColoring":4.1102e-2,
							"TimingObstruction":2.8380000000000002e-3,
							"TimingComplexVolumeN":2.477003,
							"TimingaCuspShapeN":1.5111000000000001e-2,
							"TiminguValues":0.502521,
							"TiminguPolysN":1.498e-3,
							"TiminguPolys":0.678548,
							"TimingaCuspShape":9.4101e-2,
							"TimingRepresentationsN":4.4082e-2,
							"TiminguValues_ij":8.5319e-2,
							"TiminguPolys_ij_N":1.7929999999999999e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"(6 - 6*u + 3*u^2 - u^3)\/3",
								"-1 + 3*u - 2*u^2 + u^3"
							],
							[
								"(9 - 15*u + 9*u^2 - 4*u^3)\/3",
								"-1 + 3*u - 2*u^2 + u^3"
							],
							[
								"(-3 - u^3)\/3",
								-1
							],
							[
								"(-3 + 12*u - 6*u^2 + 4*u^3)\/3",
								"-2 + 2*u - u^2"
							],
							[
								0,
								"u"
							],
							[
								"(3 - 6*u + 3*u^2 - 2*u^3)\/3",
								"1 - 2*u + 2*u^2 - u^3"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"1.64493 - 4.05977*I",
							"1.64493 + 4.05977*I",
							"1.64493 + 4.05977*I",
							"1.64493 - 4.05977*I"
						],
						"uPolysN":[
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 + 2*u - u^3 + u^4"
						],
						"uPolys":[
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"(1 + u + u^2)^2",
							"1 + 2*u - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"(1 + u + u^2)^2",
							"1 + 2*u - u^3 + u^4"
						],
						"aCuspShape":"2*(-3 + 12*u - 8*u^2 + 4*u^3)",
						"RepresentationsN":[
							[
								"u->0.851597 + 0.632502 I",
								"a->0.25679 - 1.42811 I",
								"b->0.5 + 0.866025 I"
							],
							[
								"u->0.851597 - 0.632502 I",
								"a->0.25679 + 1.42811 I",
								"b->0.5 - 0.866025 I"
							],
							[
								"u->0.6484 + 1.49853 I",
								"a->-0.256789 + 0.303939 I",
								"b->0.5 - 0.866025 I"
							],
							[
								"u->0.6484 - 1.49853 I",
								"a->-0.256789 - 0.303939 I",
								"b->0.5 + 0.866025 I"
							]
						],
						"Epsilon":2.47186,
						"uPolys_ij_N":[
							"1 + 4*u + 6*u^2 + 4*u^3 + u^4",
							"1 - 4*u + 6*u^2 - 4*u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"9 + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"1 - 4*u + 6*u^2 - u^3 + u^4",
							"16 - 16*u + 12*u^2 - 4*u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"1 - 4*u + 6*u^2 - u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"9 + 6*u^2 - 3*u^3 + u^4"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2, 3, 4}",
							4.05977
						],
						"ij_list":[
							[
								"{4, 8}"
							],
							[
								"{1, 5}",
								"{3, 7}"
							],
							[
								"{1, 7}",
								"{2, 7}"
							],
							[
								"{1, 2}"
							],
							[
								"{1, 6}",
								"{2, 8}",
								"{3, 8}",
								"{6, 8}"
							],
							[
								"{4, 5}",
								"{6, 7}"
							],
							[
								"{2, 6}"
							],
							[
								"{3, 5}",
								"{3, 6}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{5, 7}",
								"{5, 8}"
							],
							[
								"{3, 4}",
								"{7, 8}"
							],
							[
								"{1, 8}",
								"{2, 3}"
							],
							[
								"{2, 4}",
								"{2, 5}",
								"{4, 6}",
								"{4, 7}"
							],
							[
								"{5, 6}"
							]
						],
						"SortedReprnIndices":"{2, 3, 1, 4}",
						"aCuspShapeN":[
							"6.0000000000000000001`4.9665266051846935 + 6.9282032302755091741`5.028995973488844*I",
							"6.0000000000000000001`4.9665266051846935 - 6.9282032302755091741`5.028995973488844*I",
							"6.0000000000000000001`4.9665266051846935 - 6.9282032302755091744`5.028995973488844*I",
							"6.0000000000000000001`4.9665266051846935 + 6.9282032302755091744`5.028995973488844*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_18_1b",
						"Generators":[
							"1 + a + b + u",
							"1 + a^2 + a*u",
							"1 + u + u^2"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":6.4949e-2,
							"TimingZeroDimVars":4.3176e-2,
							"TimingmagmaVCompNormalize":4.4372e-2,
							"TimingNumberOfSols":3.3613e-2,
							"TimingIsRadical":1.829e-3,
							"TimingArcColoring":4.0933000000000004e-2,
							"TimingObstruction":2.469e-3,
							"TimingComplexVolumeN":2.26452,
							"TimingaCuspShapeN":1.5077e-2,
							"TiminguValues":0.506782,
							"TiminguPolysN":1.123e-3,
							"TiminguPolys":0.678028,
							"TimingaCuspShape":9.4322e-2,
							"TimingRepresentationsN":3.5405000000000006e-2,
							"TiminguValues_ij":8.1293e-2,
							"TiminguPolys_ij_N":1.2820000000000008e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							[
								1,
								"-1 - u"
							],
							[
								"-1 - u",
								"-1 - a - u"
							],
							[
								"a",
								"-1 - a - u"
							],
							[
								"-1 + a - u + a*u",
								-1
							],
							[
								"-a + u - a*u",
								"a*u"
							],
							[
								0,
								"u"
							],
							[
								"-a - 2*a*u",
								"1 - a + u"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"1.64493 + 4.05977*I",
							"1.64493 + 4.05977*I",
							"1.64493 - 4.05977*I",
							"1.64493 - 4.05977*I"
						],
						"uPolysN":[
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4"
						],
						"uPolys":[
							"(1 + u + u^2)^2",
							"1 + 2*u - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"(1 + u + u^2)^2",
							"1 + 2*u - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4"
						],
						"aCuspShape":"-2*(-1 + 4*u)",
						"RepresentationsN":[
							[
								"u->-0.5 + 0.866025 I",
								"a->0.148403 + 0.632502 I",
								"b->-0.6484 - 1.49853 I"
							],
							[
								"u->-0.5 + 0.866025 I",
								"a->0.3516 - 1.49853 I",
								"b->-0.851597 + 0.632502 I"
							],
							[
								"u->-0.5 - 0.866025 I",
								"a->0.148403 - 0.632502 I",
								"b->-0.6484 + 1.49853 I"
							],
							[
								"u->-0.5 - 0.866025 I",
								"a->0.3516 + 1.49853 I",
								"b->-0.851597 - 0.632502 I"
							]
						],
						"Epsilon":2.1407,
						"uPolys_ij_N":[
							"1 + 4*u + 6*u^2 + 4*u^3 + u^4",
							"1 - 4*u + 6*u^2 - 4*u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"1 - 4*u + 6*u^2 - u^3 + u^4",
							"3 - 6*u + 6*u^2 - 3*u^3 + u^4",
							"16 - 16*u + 12*u^2 - 4*u^3 + u^4",
							"1 - 4*u + 6*u^2 - u^3 + u^4",
							"9 + 6*u^2 - 3*u^3 + u^4",
							"1 + 2*u - u^3 + u^4",
							"9 + 6*u^2 - 3*u^3 + u^4"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2, 3, 4}",
							4.05977
						],
						"ij_list":[
							[
								"{2, 6}"
							],
							[
								"{1, 5}",
								"{3, 7}"
							],
							[
								"{5, 7}",
								"{5, 8}"
							],
							[
								"{1, 7}",
								"{2, 7}",
								"{3, 5}",
								"{3, 6}"
							],
							[
								"{1, 6}",
								"{4, 6}",
								"{4, 7}",
								"{6, 8}"
							],
							[
								"{1, 2}",
								"{5, 6}"
							],
							[
								"{1, 8}",
								"{6, 7}"
							],
							[
								"{1, 3}",
								"{1, 4}"
							],
							[
								"{4, 8}"
							],
							[
								"{2, 3}",
								"{4, 5}"
							],
							[
								"{3, 4}"
							],
							[
								"{2, 4}",
								"{2, 5}",
								"{2, 8}",
								"{3, 8}"
							],
							[
								"{7, 8}"
							]
						],
						"SortedReprnIndices":"{1, 2, 3, 4}",
						"aCuspShapeN":[
							"6.`4.9665266051846935 - 6.9282032302755091741`5.028995973488844*I",
							"6.`4.9665266051846935 - 6.9282032302755091741`5.028995973488844*I",
							"6.`4.9665266051846935 + 6.9282032302755091741`5.028995973488844*I",
							"6.`4.9665266051846935 + 6.9282032302755091741`5.028995973488844*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_18_3a",
						"Generators":[
							"b + u",
							"-2 + a + 3*u + 4*u^2 + 2*u^3",
							"1 - 2*u + u^3 + u^4"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":6.2438e-2,
							"TimingZeroDimVars":4.5314e-2,
							"TimingmagmaVCompNormalize":4.6474e-2,
							"TimingNumberOfSols":4.9991000000000015e-2,
							"TimingIsRadical":1.948e-3,
							"TimingArcColoring":3.9125e-2,
							"TimingObstruction":2.6360000000000003e-3,
							"TimingComplexVolumeN":2.234884,
							"TimingaCuspShapeN":1.5137000000000001e-2,
							"TiminguValues":0.503745,
							"TiminguPolysN":1.442e-3,
							"TiminguPolys":0.661215,
							"TimingaCuspShape":9.3135e-2,
							"TimingRepresentationsN":4.9025e-2,
							"TiminguValues_ij":8.2415e-2,
							"TiminguPolys_ij_N":1.664e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"-2*(-1 + 2*u + 2*u^2 + u^3)",
								"-u"
							],
							[
								"2 - 3*u - 4*u^2 - 2*u^3",
								"-u"
							],
							[
								"-2*u - 2*u^2 - u^3",
								-1
							],
							[
								"8 - 4*u - 8*u^2 - 5*u^3",
								"2 - u - 2*u^2 - u^3"
							],
							[
								0,
								"u"
							],
							[
								"5 - 5*u - 7*u^2 - 4*u^3",
								"1 - u - 2*u^2 - u^3"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-1.64493 - 4.05977*I",
							"-1.64493 + 4.05977*I",
							"-1.64493 + 4.05977*I",
							"-1.64493 - 4.05977*I"
						],
						"uPolysN":[
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4"
						],
						"uPolys":[
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"(1 - u + u^2)^2",
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"(1 - u + u^2)^2"
						],
						"aCuspShape":"2*(-9 + 4*u + 8*u^2 + 4*u^3)",
						"RepresentationsN":[
							[
								"u->0.621964 + 0.18773 I",
								"a->-1.62196 - 1.91978 I",
								"b->-0.621964 - 0.18773 I"
							],
							[
								"u->0.621964 - 0.18773 I",
								"a->-1.62196 + 1.91978 I",
								"b->-0.621964 + 0.18773 I"
							],
							[
								"u->-1.12196 + 1.05376 I",
								"a->0.121964 + 0.678295 I",
								"b->1.12196 - 1.05376 I"
							],
							[
								"u->-1.12196 - 1.05376 I",
								"a->0.121964 - 0.678295 I",
								"b->1.12196 + 1.05376 I"
							]
						],
						"Epsilon":3.27468,
						"uPolys_ij_N":[
							"1 + 4*u + 6*u^2 + 4*u^3 + u^4",
							"1 - 4*u + 6*u^2 - 4*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 + 4*u + 6*u^2 + u^3 + u^4",
							"1 + 4*u + 6*u^2 + u^3 + u^4",
							"16 + 16*u + 12*u^2 + 4*u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"9 + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"9 + 6*u^2 + 3*u^3 + u^4"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2, 3, 4}",
							4.05977
						],
						"ij_list":[
							[
								"{2, 6}",
								"{4, 8}"
							],
							[
								"{1, 5}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{1, 7}",
								"{2, 7}"
							],
							[
								"{1, 2}",
								"{3, 4}"
							],
							[
								"{5, 6}",
								"{7, 8}"
							],
							[
								"{3, 7}"
							],
							[
								"{4, 6}",
								"{4, 7}"
							],
							[
								"{2, 3}"
							],
							[
								"{3, 5}",
								"{3, 6}",
								"{5, 7}",
								"{5, 8}"
							],
							[
								"{1, 8}",
								"{4, 5}"
							],
							[
								"{1, 6}",
								"{2, 4}",
								"{2, 5}",
								"{6, 8}"
							],
							[
								"{2, 8}",
								"{3, 8}"
							],
							[
								"{6, 7}"
							]
						],
						"SortedReprnIndices":"{2, 3, 1, 4}",
						"aCuspShapeN":[
							"-6.`4.9665266051846935 + 6.928203230275509174`5.028995973488844*I",
							"-6.`4.9665266051846935 - 6.928203230275509174`5.028995973488844*I",
							"-6.`4.9665266051846935 - 6.9282032302755091745`5.028995973488844*I",
							"-6.`4.9665266051846935 + 6.9282032302755091745`5.028995973488844*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_18_3b",
						"Generators":[
							"1 + b - 2*u - 2*u^2 - u^3",
							"-3 + a + 2*u + 3*u^2 + 2*u^3",
							"1 - 2*u + u^3 + u^4"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":6.269e-2,
							"TimingZeroDimVars":4.5907e-2,
							"TimingmagmaVCompNormalize":4.7068000000000006e-2,
							"TimingNumberOfSols":5.0292e-2,
							"TimingIsRadical":2.181e-3,
							"TimingArcColoring":4.101e-2,
							"TimingObstruction":2.8290000000000004e-3,
							"TimingComplexVolumeN":2.966835,
							"TimingaCuspShapeN":1.536e-2,
							"TiminguValues":0.518824,
							"TiminguPolysN":1.409e-3,
							"TiminguPolys":0.666746,
							"TimingaCuspShape":9.609500000000001e-2,
							"TimingRepresentationsN":4.9897000000000004e-2,
							"TiminguValues_ij":8.280799999999999e-2,
							"TiminguPolys_ij_N":1.744e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"2 - u^2 - u^3",
								"-1 + 2*u + 2*u^2 + u^3"
							],
							[
								"3 - 2*u - 3*u^2 - 2*u^3",
								"-1 + 2*u + 2*u^2 + u^3"
							],
							[
								1,
								"2*(-1 + u + 2*u^2 + u^3)"
							],
							[
								"-1 + 2*u + 2*u^2 + u^3",
								"-2 + u + u^2 + u^3"
							],
							[
								0,
								"u"
							],
							[
								"-u",
								"2 - u - 2*u^2 - 2*u^3"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-1.64493 - 4.05977*I",
							"-1.64493 + 4.05977*I",
							"-1.64493 + 4.05977*I",
							"-1.64493 - 4.05977*I"
						],
						"uPolysN":[
							"1 - 2*u + u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4"
						],
						"uPolys":[
							"1 - 2*u + u^3 + u^4",
							"(1 - u + u^2)^2",
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"(1 - u + u^2)^2",
							"1 - 2*u + u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4"
						],
						"aCuspShape":"2*(-9 + 4*u + 8*u^2 + 4*u^3)",
						"RepresentationsN":[
							[
								"u->0.621964 + 0.18773 I",
								"a->0.3516 - 1.49853 I",
								"b->1.12196 + 1.05376 I"
							],
							[
								"u->0.621964 - 0.18773 I",
								"a->0.3516 + 1.49853 I",
								"b->1.12196 - 1.05376 I"
							],
							[
								"u->-1.12196 + 1.05376 I",
								"a->0.148403 - 0.632502 I",
								"b->-0.621964 + 0.18773 I"
							],
							[
								"u->-1.12196 - 1.05376 I",
								"a->0.148403 + 0.632502 I",
								"b->-0.621964 - 0.18773 I"
							]
						],
						"Epsilon":2.48653,
						"uPolys_ij_N":[
							"1 + 4*u + 6*u^2 + 4*u^3 + u^4",
							"1 - 4*u + 6*u^2 - 4*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 + 4*u + 6*u^2 + u^3 + u^4",
							"1 + 4*u + 6*u^2 + u^3 + u^4",
							"16 + 16*u + 12*u^2 + 4*u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"9 + 6*u^2 + 3*u^3 + u^4",
							"1 - 2*u + u^3 + u^4",
							"1 + 2*u + 3*u^2 + 2*u^3 + u^4",
							"1 - 2*u + 3*u^2 - 2*u^3 + u^4",
							"3 + 6*u + 6*u^2 + 3*u^3 + u^4",
							"9 + 6*u^2 + 3*u^3 + u^4"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2, 3, 4}",
							4.05977
						],
						"ij_list":[
							[
								"{2, 6}",
								"{4, 8}"
							],
							[
								"{3, 7}"
							],
							[
								"{1, 7}",
								"{2, 7}",
								"{5, 7}",
								"{5, 8}"
							],
							[
								"{1, 2}",
								"{7, 8}"
							],
							[
								"{3, 4}",
								"{5, 6}"
							],
							[
								"{1, 5}"
							],
							[
								"{2, 4}",
								"{2, 5}"
							],
							[
								"{1, 8}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{3, 5}",
								"{3, 6}"
							],
							[
								"{2, 3}",
								"{6, 7}"
							],
							[
								"{2, 8}",
								"{3, 8}",
								"{4, 6}",
								"{4, 7}"
							],
							[
								"{1, 6}",
								"{6, 8}"
							],
							[
								"{4, 5}"
							]
						],
						"SortedReprnIndices":"{2, 3, 1, 4}",
						"aCuspShapeN":[
							"-6.`4.9665266051846935 + 6.928203230275509174`5.028995973488844*I",
							"-6.`4.9665266051846935 - 6.928203230275509174`5.028995973488844*I",
							"-6.`4.9665266051846935 - 6.9282032302755091745`5.028995973488844*I",
							"-6.`4.9665266051846935 + 6.9282032302755091745`5.028995973488844*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_18_5",
						"Generators":[
							"b + u",
							"a - u",
							"1 + u + u^2"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":6.3863e-2,
							"TimingZeroDimVars":4.1895e-2,
							"TimingmagmaVCompNormalize":4.3128e-2,
							"TimingNumberOfSols":2.1903000000000002e-2,
							"TimingIsRadical":1.524e-3,
							"TimingArcColoring":3.889e-2,
							"TimingObstruction":1.028e-3,
							"TimingComplexVolumeN":0.845114,
							"TimingaCuspShapeN":7.957e-3,
							"TiminguValues":0.506264,
							"TiminguPolysN":3.61e-4,
							"TiminguPolys":0.652847,
							"TimingaCuspShape":9.046799999999999e-2,
							"TimingRepresentationsN":2.3634e-2,
							"TiminguValues_ij":7.8458e-2,
							"TiminguPolys_ij_N":2.3700000000000001e-4
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":2,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							[
								1,
								"-1 - u"
							],
							[
								0,
								"-u"
							],
							[
								"u",
								"-u"
							],
							"{-1, 0}",
							[
								-1,
								"1 + u"
							],
							[
								0,
								"u"
							],
							[
								"-u",
								"u"
							]
						],
						"Obstruction":1,
						"ComplexVolumeN":[
							"0. + 4.05977*I",
							"0. - 4.05977*I"
						],
						"uPolysN":[
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2"
						],
						"uPolys":[
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2"
						],
						"aCuspShape":"-4*(1 + 2*u)",
						"RepresentationsN":[
							[
								"u->-0.5 + 0.866025 I",
								"a->-0.5 + 0.866025 I",
								"b->0.5 - 0.866025 I"
							],
							[
								"u->-0.5 - 0.866025 I",
								"a->-0.5 - 0.866025 I",
								"b->0.5 + 0.866025 I"
							]
						],
						"Epsilon":3.0,
						"uPolys_ij_N":[
							"u^2",
							"1 + u + u^2",
							"1 - u + u^2",
							"1 + u + u^2",
							"1 - u + u^2"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2}",
							4.05977
						],
						"ij_list":[
							[
								"{1, 5}",
								"{2, 6}",
								"{3, 7}",
								"{4, 8}"
							],
							[
								"{1, 2}",
								"{2, 4}",
								"{2, 5}",
								"{3, 4}",
								"{4, 6}",
								"{4, 7}",
								"{5, 6}",
								"{6, 8}",
								"{7, 8}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{2, 3}",
								"{3, 5}",
								"{3, 6}",
								"{4, 5}",
								"{5, 7}",
								"{5, 8}",
								"{6, 7}"
							],
							[
								"{1, 7}",
								"{1, 8}",
								"{2, 7}"
							],
							[
								"{1, 6}",
								"{2, 8}",
								"{3, 8}"
							]
						],
						"SortedReprnIndices":"{1, 2}",
						"aCuspShapeN":[
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							"0``4.309894379144197 + 6.9282032302755091741`5.150514997831991*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_18_6a",
						"Generators":[
							"a",
							"1 + b",
							"-1 + v"
						],
						"VariableOrder":[
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							"a",
							"v"
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						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
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						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"ZeroDimensionalVars":[
							"b",
							"a",
							"v"
						],
						"Timings":{
							"TimingZeroDimVars":4.1107e-2,
							"TimingmagmaVCompNormalize":0.103974,
							"TimingNumberOfSols":1.7377e-2,
							"TimingIsRadical":1.175e-3,
							"TimingArcColoring":3.8583e-2,
							"TimingObstruction":3.63e-4,
							"TimingComplexVolumeN":0.3517,
							"TimingaCuspShapeN":3.9169999999999995e-3,
							"TiminguValues":0.506504,
							"TiminguPolysN":6.7e-5,
							"TiminguPolys":0.643898,
							"TimingaCuspShape":8.8514e-2,
							"TimingRepresentationsN":2.0241e-2,
							"TiminguValues_ij":7.6321e-2,
							"TiminguPoly_ij":0.31582,
							"TiminguPolys_ij_N":6.500000000000001e-5
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						"Legacy":{
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							"Generators":[
								"1 + b",
								"-1 + v"
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							"VariableOrder":[
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								"a",
								"v"
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							"Characteristic":0,
							"MonomialOrder":"lex"
						},
						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
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							"{1, 0}",
							"{-1, -1}",
							"{0, -1}",
							"{-1, -1}",
							"{1, 1}",
							"{1, 0}",
							"{2, 1}"
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
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						"uPolysN":[
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							"-1 + u",
							"-1 + u",
							"u",
							"-1 + u",
							"-1 + u",
							"-1 + u"
						],
						"uPolys":[
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							"-1 + u",
							"-1 + u",
							"u",
							"-1 + u",
							"-1 + u",
							"-1 + u"
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						"aCuspShape":6,
						"RepresentationsN":[
							[
								"v->1.",
								"a->0",
								"b->-1."
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						"Epsilon":"Infinity",
						"uPolys_ij":[
							"1 + u",
							"u",
							"-1 + u",
							"-2 + u"
						],
						"GeometricComponent":0,
						"uPolys_ij_N":[
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							"u",
							"-1 + u",
							"-2 + u"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{3, 4}",
								"{7, 8}"
							],
							[
								"{1, 2}",
								"{1, 7}",
								"{2, 7}",
								"{3, 5}",
								"{3, 6}",
								"{5, 6}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{1, 5}",
								"{1, 6}",
								"{1, 8}",
								"{2, 3}",
								"{2, 4}",
								"{2, 5}",
								"{2, 6}",
								"{2, 8}",
								"{3, 7}",
								"{3, 8}",
								"{4, 5}",
								"{4, 6}",
								"{4, 7}",
								"{5, 7}",
								"{5, 8}",
								"{6, 7}",
								"{6, 8}"
							],
							[
								"{4, 8}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":[
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						"Abelian":false
					},
					{
						"IdealName":"J8_18_6b",
						"Generators":[
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							"-1 + a",
							"-1 + u"
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						"VariableOrder":[
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							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
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						"MonomialOrder":"lex",
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						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
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							"TimingZeroDimVars":3.8627e-2,
							"TimingmagmaVCompNormalize":3.9868e-2,
							"TimingNumberOfSols":1.6068e-2,
							"TimingIsRadical":1.017e-3,
							"TimingArcColoring":3.1445e-2,
							"TimingObstruction":3.57e-4,
							"TimingComplexVolumeN":0.28289,
							"TimingaCuspShapeN":4.146e-3,
							"TiminguValues":0.51672,
							"TiminguPolysN":7.3e-5,
							"TiminguPolys":0.650064,
							"TimingaCuspShape":8.1885e-2,
							"TimingRepresentationsN":2.0235e-2,
							"TiminguValues_ij":7.6809e-2,
							"TiminguPoly_ij":0.324354,
							"TiminguPolys_ij_N":6.400000000000002e-5
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						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
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						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							"{1, 1}",
							"{1, 0}",
							"{1, 0}",
							"{0, -1}",
							"{-1, 1}",
							"{0, 1}",
							"{0, 1}"
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
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						"uPolysN":[
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							"u",
							"-1 + u",
							"-1 + u",
							"-1 + u",
							"u",
							"-1 + u"
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						"uPolys":[
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							"-1 + u",
							"u",
							"-1 + u",
							"-1 + u",
							"-1 + u",
							"u",
							"-1 + u"
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						"aCuspShape":6,
						"RepresentationsN":[
							[
								"u->1.",
								"a->1.",
								"b->0"
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						"Epsilon":"Infinity",
						"uPolys_ij":[
							"1 + u",
							"u",
							"-1 + u",
							"-2 + u"
						],
						"GeometricComponent":0,
						"uPolys_ij_N":[
							"1 + u",
							"u",
							"-1 + u",
							"-2 + u"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{1, 2}",
								"{5, 6}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{3, 4}",
								"{5, 7}",
								"{5, 8}",
								"{7, 8}"
							],
							[
								"{1, 5}",
								"{1, 6}",
								"{1, 7}",
								"{1, 8}",
								"{2, 3}",
								"{2, 4}",
								"{2, 5}",
								"{2, 7}",
								"{2, 8}",
								"{3, 5}",
								"{3, 6}",
								"{3, 7}",
								"{3, 8}",
								"{4, 5}",
								"{4, 6}",
								"{4, 7}",
								"{4, 8}",
								"{6, 7}",
								"{6, 8}"
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							[
								"{2, 6}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":[
							6.0
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						"Abelian":false
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					{
						"IdealName":"J8_18_8a",
						"Generators":[
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							"a",
							"1 + u"
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						"VariableOrder":[
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							"a",
							"u"
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						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
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						"MonomialOrder":"lex",
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						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
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							"TimingZeroDimVars":3.8282e-2,
							"TimingmagmaVCompNormalize":3.9527e-2,
							"TimingNumberOfSols":1.6938e-2,
							"TimingIsRadical":1.194e-3,
							"TimingArcColoring":3.384e-2,
							"TimingObstruction":3.7400000000000004e-4,
							"TimingComplexVolumeN":0.386073,
							"TimingaCuspShapeN":4.082e-3,
							"TiminguValues":0.51346,
							"TiminguPolysN":7.000000000000002e-5,
							"TiminguPolys":0.685271,
							"TimingaCuspShape":8.838800000000001e-2,
							"TimingRepresentationsN":2.0429e-2,
							"TiminguValues_ij":7.8613e-2,
							"TiminguPoly_ij":0.299381,
							"TiminguPolys_ij_N":6.400000000000002e-5
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						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
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						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							"{1, 1}",
							"{1, 1}",
							"{0, 1}",
							"{1, 2}",
							"{0, -1}",
							"{0, -1}",
							"{1, 1}"
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							-1.64493
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						"uPolysN":[
							"1 + u",
							"u",
							"1 + u",
							"1 + u",
							"1 + u",
							"u",
							"1 + u",
							"1 + u"
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						"uPolys":[
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							"u",
							"1 + u",
							"1 + u",
							"1 + u",
							"u",
							"1 + u",
							"1 + u"
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						"aCuspShape":-6,
						"RepresentationsN":[
							[
								"u->-1.",
								"a->0",
								"b->1."
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						"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, 5}"
							],
							[
								"{1, 2}",
								"{1, 3}",
								"{1, 4}",
								"{1, 6}",
								"{1, 7}",
								"{2, 4}",
								"{2, 5}",
								"{2, 6}",
								"{2, 7}",
								"{3, 4}",
								"{3, 5}",
								"{3, 6}",
								"{3, 7}",
								"{4, 8}",
								"{5, 6}",
								"{5, 7}",
								"{5, 8}",
								"{6, 8}",
								"{7, 8}"
							],
							[
								"{2, 3}",
								"{2, 8}",
								"{3, 8}",
								"{4, 6}",
								"{4, 7}",
								"{6, 7}"
							],
							[
								"{1, 8}",
								"{4, 5}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":[
							-6.0
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						"Abelian":false
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					{
						"IdealName":"J8_18_8b",
						"Generators":[
							"-1 + b",
							"-1 + a",
							"1 + u"
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						"VariableOrder":[
							"b",
							"a",
							"u"
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						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
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						"MonomialOrder":"lex",
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						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
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							"TimingZeroDimVars":3.7794e-2,
							"TimingmagmaVCompNormalize":3.9111e-2,
							"TimingNumberOfSols":1.8838999999999998e-2,
							"TimingIsRadical":1.134e-3,
							"TimingArcColoring":3.3836e-2,
							"TimingObstruction":3.5200000000000005e-4,
							"TimingComplexVolumeN":0.444286,
							"TimingaCuspShapeN":3.914e-3,
							"TiminguValues":0.515829,
							"TiminguPolysN":7.7e-5,
							"TiminguPolys":0.663194,
							"TimingaCuspShape":8.809900000000001e-2,
							"TimingRepresentationsN":2.1031e-2,
							"TiminguValues_ij":7.6397e-2,
							"TiminguPoly_ij":0.31703,
							"TiminguPolys_ij_N":6.400000000000002e-5
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{1, 0}",
							"{1, 1}",
							"{2, 1}",
							"{1, 1}",
							"{1, 1}",
							"{1, 0}",
							"{0, -1}",
							"{1, 0}"
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						"Obstruction":-1,
						"ComplexVolumeN":[
							-1.64493
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						"uPolysN":[
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							"1 + u",
							"1 + u",
							"u",
							"1 + u",
							"1 + u",
							"1 + u",
							"u"
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						"uPolys":[
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							"1 + u",
							"1 + u",
							"u",
							"1 + u",
							"1 + u",
							"1 + u",
							"u"
						],
						"aCuspShape":-6,
						"RepresentationsN":[
							[
								"u->-1.",
								"a->1.",
								"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":[
							[
								"{3, 7}"
							],
							[
								"{1, 2}",
								"{1, 3}",
								"{1, 4}",
								"{1, 5}",
								"{1, 7}",
								"{2, 6}",
								"{2, 7}",
								"{2, 8}",
								"{3, 4}",
								"{3, 5}",
								"{3, 6}",
								"{3, 8}",
								"{4, 6}",
								"{4, 7}",
								"{4, 8}",
								"{5, 6}",
								"{5, 7}",
								"{5, 8}",
								"{7, 8}"
							],
							[
								"{1, 6}",
								"{1, 8}",
								"{2, 4}",
								"{2, 5}",
								"{4, 5}",
								"{6, 8}"
							],
							[
								"{2, 3}",
								"{6, 7}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":[
							-6.0
						],
						"Abelian":false
					},
					{
						"IdealName":"abJ8_18_10",
						"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":6.3229e-2,
							"TimingZeroDimVars":4.4528e-2,
							"TimingmagmaVCompNormalize":4.5724e-2,
							"TimingNumberOfSols":1.8064e-2,
							"TimingIsRadical":1.071e-3,
							"TimingArcColoring":3.4419e-2,
							"TimingObstruction":3.3e-4,
							"TimingComplexVolumeN":0.231201,
							"TimingaCuspShapeN":3.714e-3,
							"TiminguValues":0.500448,
							"TiminguPolysN":6.000000000000002e-5,
							"TiminguPolys":0.649998,
							"TimingaCuspShape":9.004899999999999e-2,
							"TimingRepresentationsN":2.0063e-2,
							"TiminguValues_ij":7.628800000000001e-2,
							"TiminguPoly_ij":0.105212,
							"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}"
						],
						"Obstruction":1,
						"ComplexVolumeN":"{0}",
						"uPolysN":[
							"u",
							"u",
							"u",
							"u",
							"u",
							"u",
							"u",
							"u"
						],
						"uPolys":[
							"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}",
								"{2, 3}",
								"{2, 4}",
								"{2, 5}",
								"{2, 6}",
								"{2, 7}",
								"{2, 8}",
								"{3, 4}",
								"{3, 5}",
								"{3, 6}",
								"{3, 7}",
								"{3, 8}",
								"{4, 5}",
								"{4, 6}",
								"{4, 7}",
								"{4, 8}",
								"{5, 6}",
								"{5, 7}",
								"{5, 8}",
								"{6, 7}",
								"{6, 8}",
								"{7, 8}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":"{0}",
						"Abelian":true
					}
				]
			},
			"uPolyC":[
				"(-1 + u)*u*(1 + u)^2*(1 + u + u^2)^3*(3 - 6*u + 6*u^2 - 3*u^3 + u^4)*(-1 + 2*u + u^2 - 2*u^3 + u^4)*(1 - 2*u + u^3 + u^4)^2",
				"(-1 + u)^2*u*(1 + u)*(1 - u + u^2)^3*(1 + 2*u - u^3 + u^4)^2*(-1 - 2*u + u^2 + 2*u^3 + u^4)*(3 + 6*u + 6*u^2 + 3*u^3 + u^4)",
				"(-1 + u)*u*(1 + u)^2*(1 + u + u^2)^3*(3 - 6*u + 6*u^2 - 3*u^3 + u^4)*(-1 + 2*u + u^2 - 2*u^3 + u^4)*(1 - 2*u + u^3 + u^4)^2",
				"(-1 + u)^2*u*(1 + u)*(1 - u + u^2)^3*(1 + 2*u - u^3 + u^4)^2*(-1 - 2*u + u^2 + 2*u^3 + u^4)*(3 + 6*u + 6*u^2 + 3*u^3 + u^4)",
				"(-1 + u)*u*(1 + u)^2*(1 + u + u^2)^3*(3 - 6*u + 6*u^2 - 3*u^3 + u^4)*(-1 + 2*u + u^2 - 2*u^3 + u^4)*(1 - 2*u + u^3 + u^4)^2",
				"(-1 + u)^2*u*(1 + u)*(1 - u + u^2)^3*(1 + 2*u - u^3 + u^4)^2*(-1 - 2*u + u^2 + 2*u^3 + u^4)*(3 + 6*u + 6*u^2 + 3*u^3 + u^4)",
				"(-1 + u)*u*(1 + u)^2*(1 + u + u^2)^3*(3 - 6*u + 6*u^2 - 3*u^3 + u^4)*(-1 + 2*u + u^2 - 2*u^3 + u^4)*(1 - 2*u + u^3 + u^4)^2",
				"(-1 + u)^2*u*(1 + u)*(1 - u + u^2)^3*(1 + 2*u - u^3 + u^4)^2*(-1 - 2*u + u^2 + 2*u^3 + u^4)*(3 + 6*u + 6*u^2 + 3*u^3 + u^4)"
			],
			"RileyPolyC":[
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)",
				"(-1 + y)^3*y*(1 + y + y^2)^3*(1 - 6*y + 7*y^2 - 2*y^3 + y^4)*(1 - 4*y + 6*y^2 - y^3 + y^4)^2*(9 + 6*y^2 + 3*y^3 + y^4)"
			]
		},
		"GeometricRepresentation":[
			1.23509e1,
			[
				"J8_18_0",
				1,
				"{3, 4}"
			]
		]
	}
}