{
	"Index":33,
	"Name":"8_19",
	"RolfsenName":"8_19",
	"DTname":"8n_3",
	"TunnelNumber":1,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":false,
	"Diagram":{
		"Scode":"{13, 10, 14, 4, 6, 1, 8, 3}",
		"Acode":"{7, 5, 7, 2, 3, 1, 4, 2}",
		"PDcode":[
			"{2, 14, 3, 13}",
			"{5, 11, 6, 10}",
			"{7, 15, 8, 14}",
			"{9, 5, 10, 4}",
			"{11, 7, 12, 6}",
			"{12, 2, 13, 1}",
			"{15, 9, 16, 8}",
			"{16, 4, 1, 3}"
		],
		"CBtype":"{2, 1}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{4, 2, 7}",
				[],
				[
					"{4, 2, 5, 1}",
					"{2, 7, 1, 2}",
					"{4, 7, 3, 2}",
					"{5, 3, 6, 1}",
					"{1, 2, 8, 2}"
				],
				"{2, 7}",
				"{6}",
				6
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"-1 + a*b - u",
						"b^2 + u - u^3",
						"a - b - a^2*u",
						"b - u - a*b*u + a^2*u^3"
					],
					"TimingForPrimaryIdeals":8.7852e-2
				},
				"v":{
					"CheckEq":[
						"b^2",
						"-1 + a*b + v",
						"b + b^2*v",
						"a - b - v + a*b*v + b^2*v^3"
					],
					"TimingForPrimaryIdeals":9.3171e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J8_19_1",
						"Generators":[
							"1 + b + u",
							"1 + a",
							"-1 - 2*u + u^2"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":3.2528e-2,
							"TimingZeroDimVars":4.7134e-2,
							"TimingmagmaVCompNormalize":4.8422e-2,
							"TimingNumberOfSols":2.2635000000000002e-2,
							"TimingIsRadical":1.567e-3,
							"TimingArcColoring":3.9964e-2,
							"TimingObstruction":7.700000000000003e-4,
							"TimingComplexVolumeN":1.402804,
							"TimingaCuspShapeN":5.874e-3,
							"TiminguValues":0.519097,
							"TiminguPolysN":2.95e-4,
							"TiminguPolys":0.643925,
							"TimingaCuspShape":9.8222e-2,
							"TimingRepresentationsN":2.329e-2,
							"TiminguValues_ij":8.0279e-2,
							"TiminguPoly_ij":0.790421,
							"TiminguPolys_ij_N":4.22e-4
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":2,
						"IsRadical":true,
						"ArcColoring":[
							[
								"u",
								"1 + 4*u"
							],
							[
								0,
								"u"
							],
							[
								"-u",
								"-2*(1 + 2*u)"
							],
							"{1, 0}",
							[
								1,
								"1 + 2*u"
							],
							[
								"-2*u",
								"-3 - 8*u"
							],
							[
								-1,
								"-1 - u"
							],
							[
								"u",
								"-1 - u"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							-0.822467,
							1.89167e1
						],
						"uPolysN":[
							"-1 - 2*u + u^2",
							"-1 - 2*u + u^2",
							"2 + 4*u + u^2",
							"-1 - 2*u + u^2",
							"-1 - 2*u + u^2",
							"-1 - 2*u + u^2",
							"2 + 4*u + u^2",
							"1 + 6*u + u^2"
						],
						"uPolys":[
							"-1 - 2*u + u^2",
							"-1 - 2*u + u^2",
							"2 + 4*u + u^2",
							"-1 - 2*u + u^2",
							"-1 - 2*u + u^2",
							"-1 - 2*u + u^2",
							"2 + 4*u + u^2",
							"1 + 6*u + u^2"
						],
						"aCuspShape":-12,
						"RepresentationsN":[
							[
								"u->-0.414214",
								"a->-1.",
								"b->-0.585786"
							],
							[
								"u->2.41421",
								"a->-1.",
								"b->-3.41421"
							]
						],
						"Epsilon":4.0,
						"uPolys_ij":[
							"1 + 34*u + u^2",
							"9 + 18*u + u^2",
							"4 + 12*u + u^2",
							"1 + 6*u + u^2",
							"2 + 4*u + u^2",
							"-1 - 2*u + u^2",
							"-7 - 10*u + u^2",
							"-7 - 22*u + u^2",
							"-14 - 36*u + u^2",
							"-25 - 70*u + u^2"
						],
						"uPolys_ij_N":[
							"1 + 34*u + u^2",
							"9 + 18*u + u^2",
							"4 + 12*u + u^2",
							"1 + 6*u + u^2",
							"2 + 4*u + u^2",
							"-1 - 2*u + u^2",
							"-7 - 10*u + u^2",
							"-7 - 22*u + u^2",
							"-14 - 36*u + u^2",
							"-25 - 70*u + u^2"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{1, 8}"
							],
							[
								"{5, 8}"
							],
							[
								"{2, 6}",
								"{3, 4}",
								"{7, 8}"
							],
							[
								"{1, 2}",
								"{2, 3}",
								"{2, 8}",
								"{4, 5}",
								"{5, 6}",
								"{6, 7}"
							],
							[
								"{1, 5}",
								"{3, 7}",
								"{4, 7}",
								"{4, 8}"
							],
							[
								"{1, 3}",
								"{1, 6}",
								"{1, 7}",
								"{2, 4}",
								"{2, 5}",
								"{2, 7}",
								"{3, 5}",
								"{3, 6}",
								"{5, 7}"
							],
							[
								"{1, 4}"
							],
							[
								"{4, 6}"
							],
							[
								"{3, 8}"
							],
							[
								"{6, 8}"
							]
						],
						"SortedReprnIndices":"{2, 1}",
						"aCuspShapeN":[
							-1.2e1,
							-1.2e1
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_19_2",
						"Generators":[
							"b",
							"1 + a",
							"1 + u"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":3.3801000000000005e-2,
							"TimingZeroDimVars":4.8156e-2,
							"TimingmagmaVCompNormalize":4.9441e-2,
							"TimingNumberOfSols":1.6176e-2,
							"TimingIsRadical":9.76e-4,
							"TimingArcColoring":3.6096e-2,
							"TimingObstruction":3.22e-4,
							"TimingComplexVolumeN":0.34146,
							"TimingaCuspShapeN":3.471e-3,
							"TiminguValues":0.521178,
							"TiminguPolysN":6.500000000000001e-5,
							"TiminguPolys":0.630018,
							"TimingaCuspShape":0.10187,
							"TimingRepresentationsN":2.1085e-2,
							"TiminguValues_ij":7.596599999999999e-2,
							"TiminguPoly_ij":0.245885,
							"TiminguPolys_ij_N":5.6e-5
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{-1, -1}",
							"{0, -1}",
							"{1, 0}",
							"{1, 0}",
							"{1, 1}",
							"{0, 1}",
							"{-1, 0}",
							"{-1, 0}"
						],
						"Obstruction":1,
						"ComplexVolumeN":[
							-3.28987
						],
						"uPolysN":[
							"1 + u",
							"-1 + u",
							"u",
							"1 + u",
							"1 + u",
							"-1 + u",
							"u",
							"-1 + u"
						],
						"uPolys":[
							"1 + u",
							"-1 + u",
							"u",
							"1 + u",
							"1 + u",
							"-1 + u",
							"u",
							"-1 + u"
						],
						"aCuspShape":-12,
						"RepresentationsN":[
							[
								"u->-1.",
								"a->-1.",
								"b->0"
							]
						],
						"Epsilon":"Infinity",
						"uPolys_ij":[
							"1 + u",
							"u",
							"-1 + u"
						],
						"uPolys_ij_N":[
							"1 + u",
							"u",
							"-1 + u"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{1, 6}",
								"{1, 7}",
								"{1, 8}",
								"{2, 7}",
								"{2, 8}"
							],
							[
								"{1, 5}",
								"{2, 6}",
								"{3, 4}",
								"{3, 7}",
								"{3, 8}",
								"{4, 7}",
								"{4, 8}",
								"{7, 8}"
							],
							[
								"{1, 2}",
								"{1, 3}",
								"{1, 4}",
								"{2, 3}",
								"{2, 4}",
								"{2, 5}",
								"{3, 5}",
								"{3, 6}",
								"{4, 5}",
								"{4, 6}",
								"{5, 6}",
								"{5, 7}",
								"{5, 8}",
								"{6, 7}",
								"{6, 8}"
							]
						],
						"SortedReprnIndices":"{1}",
						"aCuspShapeN":[
							-1.2e1
						],
						"Abelian":false
					},
					{
						"IdealName":"abJ8_19_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":3.2123e-2,
							"TimingZeroDimVars":4.6475999999999996e-2,
							"TimingmagmaVCompNormalize":4.7646e-2,
							"TimingNumberOfSols":1.9428e-2,
							"TimingIsRadical":1.299e-3,
							"TimingArcColoring":3.9429e-2,
							"TimingObstruction":3.1800000000000003e-4,
							"TimingComplexVolumeN":0.183813,
							"TimingaCuspShapeN":3.268e-3,
							"TiminguValues":0.502652,
							"TiminguPolysN":1.01e-4,
							"TiminguPolys":0.65111,
							"TimingaCuspShape":9.8576e-2,
							"TimingRepresentationsN":2.0419999999999997e-2,
							"TiminguValues_ij":7.5384e-2,
							"TiminguPoly_ij":9.789300000000001e-2,
							"TiminguPolys_ij_N":2.7000000000000002e-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"
						],
						"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 - 2*u + u^2)",
				"(-1 + u)*(-1 - 2*u + u^2)",
				"u*(2 + 4*u + u^2)",
				"(1 + u)*(-1 - 2*u + u^2)",
				"(1 + u)*(-1 - 2*u + u^2)",
				"(-1 + u)*(-1 - 2*u + u^2)",
				"u*(2 + 4*u + u^2)",
				"(-1 + u)*(1 + 6*u + u^2)"
			],
			"RileyPolyC":[
				"(-1 + y)*(1 - 6*y + y^2)",
				"(-1 + y)*(1 - 6*y + y^2)",
				"y*(4 - 12*y + y^2)",
				"(-1 + y)*(1 - 6*y + y^2)",
				"(-1 + y)*(1 - 6*y + y^2)",
				"(-1 + y)*(1 - 6*y + y^2)",
				"y*(4 - 12*y + y^2)",
				"(-1 + y)*(1 - 34*y + y^2)"
			]
		}
	}
}