{
	"Index":35,
	"Name":"8_21",
	"RolfsenName":"8_21",
	"DTname":"8n_2",
	"TunnelNumber":1,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":true,
	"Diagram":{
		"Scode":"{6, -13, 8, 2, 12, 16, -3, 10}",
		"Acode":"{4, -7, 5, 2, 7, 1, -2, 6}",
		"PDcode":[
			"{1, 7, 2, 6}",
			"{4, 13, 5, 14}",
			"{5, 9, 6, 8}",
			"{7, 3, 8, 2}",
			"{9, 13, 10, 12}",
			"{11, 1, 12, 16}",
			"{14, 3, 15, 4}",
			"{15, 11, 16, 10}"
		],
		"CBtype":"{2, 1}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{4, 2, 7}",
				[],
				[
					"{4, 2, 5, 1}",
					"{2, 4, 1, 2}",
					"{4, 5, 3, 2}",
					"{7, 1, 6, 2}",
					"{1, 6, 8, 2}"
				],
				"{2, 5}",
				"{7}",
				7
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"-1 + a^2*u + u^2",
						"u + a*b*u + u^4",
						"1 - a + a*b + a*u^2 - a^2*u^2 - b*u^2",
						"-b + b^2 + u^2 + a*u^2 - b*u^2 - a*b*u^2"
					],
					"TimingForPrimaryIdeals":9.092e-2
				},
				"v":{
					"CheckEq":[
						"-b + b^2",
						"-(b^2*v)",
						"-1 + v - a*b*v",
						"1 - a + a*b - b*v^2"
					],
					"TimingForPrimaryIdeals":7.5949e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J8_21_0",
						"Generators":[
							"1 + b + u - u^2",
							"a + u - u^2",
							"1 + u - u^3 + u^4"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.1125999999999996e-2,
							"TimingZeroDimVars":5.0194e-2,
							"TimingmagmaVCompNormalize":5.1385e-2,
							"TimingNumberOfSols":5.0495000000000005e-2,
							"TimingIsRadical":1.776e-3,
							"TimingArcColoring":3.9477000000000005e-2,
							"TimingObstruction":2.296e-3,
							"TimingComplexVolumeN":3.179146,
							"TimingaCuspShapeN":1.4014e-2,
							"TiminguValues":0.512844,
							"TiminguPolysN":1.063e-3,
							"TiminguPolys":0.646772,
							"TimingaCuspShape":0.102996,
							"TimingRepresentationsN":4.7577e-2,
							"TiminguValues_ij":8.0732e-2,
							"TiminguPoly_ij":0.752385,
							"TiminguPolys_ij_N":1.3939999999999998e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							[
								"u",
								"u"
							],
							[
								0,
								"u"
							],
							[
								"1 - u^2",
								"1 + u - u^3"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"-u",
								"-1 - u"
							],
							[
								"-u + u^2",
								"-1 - u + u^2"
							],
							[
								"u - u^2",
								"-u^2"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-0.6607 + 1.45022*I",
							"-0.6607 - 1.45022*I",
							"4.77303 - 6.78371*I",
							"4.77303 + 6.78371*I"
						],
						"uPolysN":[
							"1 + u - u^3 + u^4",
							"2 + 2*u + 3*u^2 + 3*u^3 + u^4",
							"1 + u + 4*u^2 + u^3 + u^4",
							"1 + u - u^3 + u^4",
							"1 + u + 4*u^2 + u^3 + u^4",
							"1 + u - u^3 + u^4",
							"2 + 2*u + 3*u^2 + 3*u^3 + u^4",
							"1 + u - u^3 + u^4"
						],
						"uPolys":[
							"1 + u - u^3 + u^4",
							"2 + 2*u + 3*u^2 + 3*u^3 + u^4",
							"1 + u + 4*u^2 + u^3 + u^4",
							"1 + u - u^3 + u^4",
							"1 + u + 4*u^2 + u^3 + u^4",
							"1 + u - u^3 + u^4",
							"2 + 2*u + 3*u^2 + 3*u^3 + u^4",
							"1 + u - u^3 + u^4"
						],
						"aCuspShape":"-4 - 2*(1 + u - 3*u^2 + u^3)",
						"RepresentationsN":[
							[
								"u->-0.566121 + 0.458821 I",
								"a->0.676097 - 0.978318 I",
								"b->-0.323903 - 0.978318 I"
							],
							[
								"u->-0.566121 - 0.458821 I",
								"a->0.676097 + 0.978318 I",
								"b->-0.323903 + 0.978318 I"
							],
							[
								"u->1.06612 + 0.864054 I",
								"a->-0.676097 + 0.978318 I",
								"b->-1.6761 + 0.97832 I"
							],
							[
								"u->1.06612 - 0.864054 I",
								"a->-0.676097 - 0.978318 I",
								"b->-1.6761 - 0.97832 I"
							]
						],
						"Epsilon":2.84096,
						"uPolys_ij":[
							"1 + u - u^3 + u^4",
							"1 + u + 4*u^2 + u^3 + u^4",
							"2 - 6*u + 9*u^2 - 5*u^3 + u^4",
							"11 - 15*u + 22*u^2 + 3*u^3 + u^4",
							"4 + 16*u + 19*u^2 + 6*u^3 + u^4",
							"4 - 6*u + 7*u^2 - 4*u^3 + u^4",
							"4 + 8*u + u^2 - 3*u^3 + u^4",
							"1 - 7*u + 16*u^2 - 7*u^3 + u^4",
							"2 + 2*u + 3*u^2 + 3*u^3 + u^4",
							"2 + 6*u + 35*u^2 + 9*u^3 + u^4"
						],
						"GeometricComponent":"{3, 4}",
						"uPolys_ij_N":[
							"1 + u - u^3 + u^4",
							"1 + u + 4*u^2 + u^3 + u^4",
							"2 - 6*u + 9*u^2 - 5*u^3 + u^4",
							"11 - 15*u + 22*u^2 + 3*u^3 + u^4",
							"4 + 16*u + 19*u^2 + 6*u^3 + u^4",
							"4 - 6*u + 7*u^2 - 4*u^3 + u^4",
							"4 + 8*u + u^2 - 3*u^3 + u^4",
							"1 - 7*u + 16*u^2 - 7*u^3 + u^4",
							"2 + 2*u + 3*u^2 + 3*u^3 + u^4",
							"2 + 6*u + 35*u^2 + 9*u^3 + u^4"
						],
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2}",
							1.45022
						],
						"ij_list":[
							[
								"{1, 4}",
								"{1, 6}",
								"{1, 7}",
								"{2, 4}",
								"{2, 5}",
								"{6, 8}"
							],
							[
								"{1, 2}",
								"{1, 8}",
								"{2, 6}",
								"{3, 5}",
								"{4, 5}",
								"{4, 8}",
								"{5, 7}",
								"{6, 7}"
							],
							[
								"{4, 6}"
							],
							[
								"{3, 6}"
							],
							[
								"{1, 3}",
								"{5, 8}"
							],
							[
								"{4, 7}"
							],
							[
								"{1, 5}",
								"{2, 3}",
								"{7, 8}"
							],
							[
								"{3, 4}",
								"{5, 6}"
							],
							[
								"{2, 7}",
								"{2, 8}",
								"{3, 7}"
							],
							[
								"{3, 8}"
							]
						],
						"SortedReprnIndices":"{4, 3, 1, 2}",
						"aCuspShapeN":[
							"-4.5600968657158870321`4.992209162026401 - 4.7237388262884264154`5.007520971597023*I",
							"-4.5600968657158870321`4.992209162026401 + 4.7237388262884264154`5.007520971597023*I",
							"-3.4399031342841129676`4.920387209953913 + 4.7237388262884264156`5.058126874325404*I",
							"-3.4399031342841129676`4.920387209953913 - 4.7237388262884264156`5.058126874325404*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_21_1",
						"Generators":[
							"-1 + b",
							"1 + a + 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":3.7798e-2,
							"TimingZeroDimVars":5.0395e-2,
							"TimingmagmaVCompNormalize":5.1601e-2,
							"TimingNumberOfSols":3.4404e-2,
							"TimingIsRadical":1.585e-3,
							"TimingArcColoring":3.8171000000000004e-2,
							"TimingObstruction":1.7540000000000001e-3,
							"TimingComplexVolumeN":3.464303,
							"TimingaCuspShapeN":1.2524e-2,
							"TiminguValues":0.503407,
							"TiminguPolysN":9.480000000000001e-4,
							"TiminguPolys":0.670208,
							"TimingaCuspShape":9.985900000000003e-2,
							"TimingRepresentationsN":3.46e-2,
							"TiminguValues_ij":8.1581e-2,
							"TiminguPolys_ij_N":1.549e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":4,
						"IsRadical":true,
						"ArcColoring":[
							[
								"u",
								"u"
							],
							[
								0,
								"u"
							],
							[
								"1 - u^2",
								"-1 + 2*u - u^3"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"-u",
								"2 - u + u^3"
							],
							[
								"-1 - u^3",
								1
							],
							[
								"1 + u^3",
								"-2 + u + u^2 - u^3"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							-2.30291,
							5.59278,
							5.59278,
							-2.30291
						],
						"uPolysN":[
							"-1 + 2*u - u^3 + u^4",
							"1 + 2*u - u^2 - 2*u^3 + u^4",
							"1 + 4*u + 2*u^2 + u^3 + u^4",
							"-1 + 2*u - u^3 + u^4",
							"1 + 4*u + 2*u^2 + u^3 + u^4",
							"-1 + 2*u - u^3 + u^4",
							"1 + 2*u - u^2 - 2*u^3 + u^4",
							"-1 + 2*u - u^3 + u^4"
						],
						"uPolys":[
							"-1 + 2*u - u^3 + u^4",
							"(-1 - u + u^2)^2",
							"1 + 4*u + 2*u^2 + u^3 + u^4",
							"-1 + 2*u - u^3 + u^4",
							"1 + 4*u + 2*u^2 + 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,
						"RepresentationsN":[
							[
								"u->-1.15372",
								"a->0.535687",
								"b->1."
							],
							[
								"u->0.809017 + 0.981593 I",
								"a->0.809017 - 0.981593 I",
								"b->1."
							],
							[
								"u->0.809017 - 0.981593 I",
								"a->0.809017 + 0.981593 I",
								"b->1."
							],
							[
								"u->0.535687",
								"a->-1.15372",
								"b->1."
							]
						],
						"Epsilon":2.38918,
						"uPolys_ij_N":[
							"1 + 4*u + 6*u^2 + 4*u^3 + u^4",
							"-1 + 2*u - u^3 + u^4",
							"1 + 4*u + 2*u^2 + u^3 + u^4",
							"-9 + 18*u + 8*u^2 - 2*u^3 + u^4",
							"29 + 46*u + 20*u^2 + 3*u^3 + u^4",
							"25 + 50*u + 15*u^2 - 10*u^3 + u^4",
							"1 + 12*u - 2*u^2 - 3*u^3 + u^4",
							"-9 + 18*u + 8*u^2 - 2*u^3 + u^4",
							"-1 + 2*u - 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 - 6*u + 11*u^2 - 6*u^3 + u^4",
							"1 + 12*u - 2*u^2 - 3*u^3 + u^4",
							"1 + 4*u + 2*u^2 + u^3 + u^4"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"ij_list":[
							[
								"{4, 7}"
							],
							[
								"{1, 4}",
								"{2, 4}",
								"{2, 5}"
							],
							[
								"{1, 2}",
								"{2, 6}",
								"{3, 5}",
								"{4, 5}"
							],
							[
								"{1, 3}"
							],
							[
								"{3, 6}"
							],
							[
								"{3, 8}"
							],
							[
								"{5, 6}"
							],
							[
								"{5, 8}"
							],
							[
								"{1, 6}",
								"{1, 7}",
								"{6, 8}"
							],
							[
								"{4, 6}"
							],
							[
								"{2, 7}",
								"{2, 8}",
								"{3, 7}"
							],
							[
								"{1, 5}",
								"{2, 3}",
								"{7, 8}"
							],
							[
								"{3, 4}"
							],
							[
								"{1, 8}",
								"{4, 8}",
								"{5, 7}",
								"{6, 7}"
							]
						],
						"SortedReprnIndices":"{2, 3, 1, 4}",
						"aCuspShapeN":[
							-2.0,
							-2.0,
							-2.0,
							-2.0
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_21_2",
						"Generators":[
							"-1 + b",
							"a",
							"1 + u"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":3.8934e-2,
							"TimingZeroDimVars":4.5570000000000006e-2,
							"TimingmagmaVCompNormalize":4.6836e-2,
							"TimingNumberOfSols":1.9770000000000003e-2,
							"TimingIsRadical":1.263e-3,
							"TimingArcColoring":4.1250999999999996e-2,
							"TimingObstruction":2.86e-4,
							"TimingComplexVolumeN":0.526801,
							"TimingaCuspShapeN":4.069e-3,
							"TiminguValues":0.498504,
							"TiminguPolysN":7.2e-5,
							"TiminguPolys":0.662934,
							"TimingaCuspShape":9.541100000000001e-2,
							"TimingRepresentationsN":1.9719e-2,
							"TiminguValues_ij":7.3868e-2,
							"TiminguPoly_ij":0.303413,
							"TiminguPolys_ij_N":6.6e-5
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{-1, -1}",
							"{0, -1}",
							"{0, -1}",
							"{1, 0}",
							"{1, 1}",
							"{1, 2}",
							"{0, 1}",
							"{0, 1}"
						],
						"Obstruction":1,
						"ComplexVolumeN":[
							-3.28987
						],
						"uPolysN":[
							"-1 + u",
							"u",
							"-1 + u",
							"1 + u",
							"-1 + u",
							"-1 + u",
							"u",
							"1 + u"
						],
						"uPolys":[
							"-1 + u",
							"u",
							"-1 + u",
							"1 + u",
							"-1 + u",
							"-1 + u",
							"u",
							"1 + u"
						],
						"aCuspShape":-12,
						"RepresentationsN":[
							[
								"u->-1.",
								"a->0",
								"b->1."
							]
						],
						"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, 6}",
								"{1, 7}",
								"{1, 8}"
							],
							[
								"{1, 5}",
								"{2, 3}",
								"{2, 7}",
								"{2, 8}",
								"{3, 7}",
								"{3, 8}",
								"{7, 8}"
							],
							[
								"{1, 2}",
								"{1, 3}",
								"{1, 4}",
								"{2, 4}",
								"{2, 5}",
								"{2, 6}",
								"{3, 4}",
								"{3, 5}",
								"{3, 6}",
								"{4, 5}",
								"{4, 7}",
								"{4, 8}",
								"{5, 6}",
								"{5, 7}",
								"{5, 8}",
								"{6, 7}",
								"{6, 8}"
							],
							[
								"{4, 6}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":[
							-1.2e1
						],
						"Abelian":false
					},
					{
						"IdealName":"abJ8_21_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":3.6692e-2,
							"TimingZeroDimVars":4.8848e-2,
							"TimingmagmaVCompNormalize":5.0008e-2,
							"TimingNumberOfSols":1.9704e-2,
							"TimingIsRadical":1.198e-3,
							"TimingArcColoring":3.6871e-2,
							"TimingObstruction":3.01e-4,
							"TimingComplexVolumeN":0.32633,
							"TimingaCuspShapeN":3.778e-3,
							"TiminguValues":0.504116,
							"TiminguPolysN":1.01e-4,
							"TiminguPolys":0.654216,
							"TimingaCuspShape":0.100826,
							"TimingRepresentationsN":2.0057000000000002e-2,
							"TiminguValues_ij":7.5328e-2,
							"TiminguPoly_ij":0.103348,
							"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}"
						],
						"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)*(1 + u - u^3 + u^4)*(-1 + 2*u - u^3 + u^4)",
				"u*(-1 - u + u^2)^2*(2 + 2*u + 3*u^2 + 3*u^3 + u^4)",
				"(-1 + u)*(1 + 4*u + 2*u^2 + u^3 + u^4)*(1 + u + 4*u^2 + u^3 + u^4)",
				"(1 + u)*(1 + u - u^3 + u^4)*(-1 + 2*u - u^3 + u^4)",
				"(-1 + u)*(1 + 4*u + 2*u^2 + u^3 + u^4)*(1 + u + 4*u^2 + u^3 + u^4)",
				"(-1 + u)*(1 + u - u^3 + u^4)*(-1 + 2*u - u^3 + u^4)",
				"u*(-1 - u + u^2)^2*(2 + 2*u + 3*u^2 + 3*u^3 + u^4)",
				"(1 + u)*(1 + u - u^3 + u^4)*(-1 + 2*u - u^3 + u^4)"
			],
			"RileyPolyC":[
				"(-1 + y)*(1 - 4*y + 2*y^2 - y^3 + y^4)*(1 - y + 4*y^2 - y^3 + y^4)",
				"y*(1 - 3*y + y^2)^2*(4 + 8*y + y^2 - 3*y^3 + y^4)",
				"(-1 + y)*(1 - 12*y - 2*y^2 + 3*y^3 + y^4)*(1 + 7*y + 16*y^2 + 7*y^3 + y^4)",
				"(-1 + y)*(1 - 4*y + 2*y^2 - y^3 + y^4)*(1 - y + 4*y^2 - y^3 + y^4)",
				"(-1 + y)*(1 - 12*y - 2*y^2 + 3*y^3 + y^4)*(1 + 7*y + 16*y^2 + 7*y^3 + y^4)",
				"(-1 + y)*(1 - 4*y + 2*y^2 - y^3 + y^4)*(1 - y + 4*y^2 - y^3 + y^4)",
				"y*(1 - 3*y + y^2)^2*(4 + 8*y + y^2 - 3*y^3 + y^4)",
				"(-1 + y)*(1 - 4*y + 2*y^2 - y^3 + y^4)*(1 - y + 4*y^2 - y^3 + y^4)"
			]
		},
		"GeometricRepresentation":[
			6.78371,
			[
				"J8_21_0",
				1,
				"{3, 4}"
			]
		]
	}
}