{
	"Index":29,
	"Name":"8_15",
	"RolfsenName":"8_15",
	"DTname":"8a_2",
	"TunnelNumber":1,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":true,
	"Diagram":{
		"Scode":"{6, 14, 8, 2, 12, 16, 4, 10}",
		"Acode":"{4, 8, 5, 2, 7, 1, 3, 6}",
		"PDcode":[
			"{1, 7, 2, 6}",
			"{3, 15, 4, 14}",
			"{5, 9, 6, 8}",
			"{7, 3, 8, 2}",
			"{9, 13, 10, 12}",
			"{11, 1, 12, 16}",
			"{13, 5, 14, 4}",
			"{15, 11, 16, 10}"
		],
		"CBtype":"{2, 1}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{2, 8, 5}",
				[],
				[
					"{2, 8, 3, 1}",
					"{5, 2, 4, 2}",
					"{2, 4, 1, 2}",
					"{8, 3, 7, 2}",
					"{5, 7, 6, 1}"
				],
				"{3, 8}",
				"{6}",
				6
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"1 - a - b + a*b - a^2*u^2",
						"-b + b^2 + u^2 - a*b*u^2",
						"-1 + a*b + b^2 - a^2*u - 2*a^2*u^3 + 2*a*b*u^3 - 3*a^2*u^5 + 2*a*b*u^5 - b^2*u^5 - 2*a^2*u^7 + 2*a*b*u^7 - a^2*u^9",
						"b^2 + u - a*b*u - a^2*u^3 + b^2*u^3 - 3*a^2*u^5 + 2*a*b*u^5 - b^2*u^5 - 4*a^2*u^7 + 4*a*b*u^7 - b^2*u^7 - 3*a^2*u^9 + 2*a*b*u^9 - a^2*u^11"
					],
					"TimingForPrimaryIdeals":9.4281e-2
				},
				"v":{
					"CheckEq":[
						"1 - a - b + a*b",
						"-b + b^2",
						"b^2 + b^2*v",
						"-1 + a*b + b^2 + v + a*b*v - b^2*v^3"
					],
					"TimingForPrimaryIdeals":7.6472e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J8_15_0",
						"Generators":[
							"-1 + b + u - 2*u^3 + 3*u^4 - 2*u^5 + u^6",
							"2*a - u - u^2 + 3*u^3 - 4*u^4 + 3*u^5 - u^6",
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.6438e-2,
							"TimingZeroDimVars":4.9356000000000004e-2,
							"TimingmagmaVCompNormalize":5.0598000000000004e-2,
							"TimingNumberOfSols":7.1358e-2,
							"TimingIsRadical":3.139e-3,
							"TimingArcColoring":4.0325e-2,
							"TimingObstruction":5.712e-3,
							"TimingComplexVolumeN":5.286076,
							"TimingaCuspShapeN":2.1896e-2,
							"TiminguValues":0.541286,
							"TiminguPolysN":3.678e-3,
							"TiminguPolys":0.677595,
							"TimingaCuspShape":0.116117,
							"TimingRepresentationsN":6.869e-2,
							"TiminguValues_ij":8.676299999999999e-2,
							"TiminguPoly_ij":0.770458,
							"TiminguPolys_ij_N":3.72e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":7,
						"IsRadical":true,
						"ArcColoring":[
							[
								"(-2 + u + 3*u^2 - 5*u^3 + 6*u^4 - 3*u^5 + u^6)\/2",
								"-1 + u^2 - u^3 + u^4"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"(2 - u + u^2 + u^3 - 2*u^4 + u^5 - u^6)\/2",
								"1 - u + 2*u^3 - 3*u^4 + 2*u^5 - u^6"
							],
							[
								"(u + u^2 - 3*u^3 + 4*u^4 - 3*u^5 + u^6)\/2",
								"1 - u + 2*u^3 - 3*u^4 + 2*u^5 - u^6"
							],
							[
								"(-u + u^2 - u^3 + 2*u^4 - u^5 + u^6)\/2",
								"-1 + u^2 - 3*u^3 + 3*u^4 - 2*u^5 + u^6"
							],
							[
								"u",
								"u + u^3"
							],
							[
								0,
								"u"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-2.09542 + 3.9307*I",
							"-2.09542 - 3.9307*I",
							"3.85236 + 0.9554*I",
							"3.85236 - 0.9554*I",
							"0.36369 - 9.93065*I",
							"0.36369 + 9.93065*I",
							-0.951399
						],
						"uPolysN":[
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7",
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7",
							"1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7",
							"1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7",
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7"
						],
						"uPolys":[
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7",
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7",
							"1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7",
							"1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7",
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7"
						],
						"aCuspShape":"-8 + 2*(-2 + 2*u - 5*u^3 + 5*u^4 - 4*u^5 + u^6)",
						"RepresentationsN":[
							[
								"u->0.98414 + 0.426152 I",
								"a->0.472917 + 0.120643 I",
								"b->0.985336 - 0.506466 I"
							],
							[
								"u->0.98414 - 0.426152 I",
								"a->0.472917 - 0.120643 I",
								"b->0.985336 + 0.506466 I"
							],
							[
								"u->0.167785 + 1.21878 I",
								"a->0.529166 - 1.01688 I",
								"b->-0.597306 + 0.773845 I"
							],
							[
								"u->0.167785 - 1.21878 I",
								"a->0.529166 + 1.01688 I",
								"b->-0.597306 - 0.773845 I"
							],
							[
								"u->0.654547 + 1.20247 I",
								"a->-0.33478 + 1.51279 I",
								"b->-1.13946 - 0.63017 I"
							],
							[
								"u->0.654547 - 1.20247 I",
								"a->-0.33478 - 1.51279 I",
								"b->-1.13946 + 0.63017 I"
							],
							[
								"u->-0.612945",
								"a->0.6654",
								"b->0.502855"
							]
						],
						"Epsilon":1.34561,
						"uPolys_ij":[
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7",
							"4 + 8*u - 7*u^2 - u^3 - u^4 + 4*u^5 - 3*u^6 + u^7",
							"10 + 34*u + 47*u^2 + 27*u^3 + 3*u^4 + 2*u^5 + 3*u^6 + u^7",
							"1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7",
							"1 - u - 4*u^2 + 11*u^3 - 2*u^4 - 5*u^5 + u^6 + u^7",
							"10 - 18*u - 31*u^2 + 105*u^3 - 103*u^4 + 48*u^5 - 11*u^6 + u^7",
							"1 + 13*u - 38*u^2 + 49*u^3 - 36*u^4 + 19*u^5 - 5*u^6 + u^7",
							"32 - 32*u - 24*u^2 + 76*u^3 - 66*u^4 + 31*u^5 - 8*u^6 + u^7",
							"1 - 5*u + 4*u^2 + 15*u^3 - 8*u^4 - 5*u^5 + u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7"
						],
						"GeometricComponent":"{5, 6}",
						"uPolys_ij_N":[
							"2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7",
							"4 + 8*u - 7*u^2 - u^3 - u^4 + 4*u^5 - 3*u^6 + u^7",
							"10 + 34*u + 47*u^2 + 27*u^3 + 3*u^4 + 2*u^5 + 3*u^6 + u^7",
							"1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7",
							"1 - u - 4*u^2 + 11*u^3 - 2*u^4 - 5*u^5 + u^6 + u^7",
							"10 - 18*u - 31*u^2 + 105*u^3 - 103*u^4 + 48*u^5 - 11*u^6 + u^7",
							"1 + 13*u - 38*u^2 + 49*u^3 - 36*u^4 + 19*u^5 - 5*u^6 + u^7",
							"32 - 32*u - 24*u^2 + 76*u^3 - 66*u^4 + 31*u^5 - 8*u^6 + u^7",
							"1 - 5*u + 4*u^2 + 15*u^3 - 8*u^4 - 5*u^5 + u^6 + u^7",
							"1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{2, 8}",
								"{3, 7}",
								"{3, 8}"
							],
							[
								"{1, 5}",
								"{2, 3}",
								"{7, 8}"
							],
							[
								"{2, 7}"
							],
							[
								"{1, 2}",
								"{1, 8}",
								"{3, 5}",
								"{4, 5}",
								"{5, 7}",
								"{6, 7}"
							],
							[
								"{1, 3}",
								"{3, 6}",
								"{5, 8}"
							],
							[
								"{4, 6}"
							],
							[
								"{3, 4}",
								"{5, 6}"
							],
							[
								"{4, 7}"
							],
							[
								"{2, 6}",
								"{4, 8}"
							],
							[
								"{1, 4}",
								"{1, 6}",
								"{1, 7}",
								"{2, 4}",
								"{2, 5}",
								"{6, 8}"
							]
						],
						"SortedReprnIndices":"{6, 5, 1, 2, 3, 4, 7}",
						"aCuspShapeN":[
							"-10.2594080237030259035`5.106351193636885 - 4.8723043676062705221`4.782963301668407*I",
							"-10.2594080237030259035`5.106351193636885 + 4.8723043676062705221`4.782963301668407*I",
							"-3.3107066746817965846`5.060622447659734 - 2.3708277389930863065`4.915601743160974*I",
							"-3.3107066746817965846`5.060622447659734 + 2.3708277389930863065`4.915601743160974*I",
							"-8.4602778959271515337`5.028746256673336 + 7.3366446877085789404`4.966859114854464*I",
							"-8.4602778959271515337`5.028746256673336 - 7.3366446877085789404`4.966859114854464*I",
							-9.9392
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_15_1",
						"Generators":[
							"-1 + a + b + u - a*u + a*u^2 + u^3 + a*u^4",
							"1 - 2*a + a^2 + u - 2*a*u + u^2 - 2*a*u^2 + u^3 - a*u^3",
							"1 + u + u^2 + 2*u^3 + u^4 + u^5"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.3638e-2,
							"TimingZeroDimVars":5.0483e-2,
							"TimingmagmaVCompNormalize":5.1653000000000004e-2,
							"TimingNumberOfSols":7.764700000000001e-2,
							"TimingIsRadical":3.366e-3,
							"TimingArcColoring":3.9545e-2,
							"TimingObstruction":8.338e-3,
							"TimingComplexVolumeN":7.262376,
							"TimingaCuspShapeN":3.0414e-2,
							"TiminguValues":0.527776,
							"TiminguPolysN":5.5140000000000015e-3,
							"TiminguPolys":0.696805,
							"TimingaCuspShape":0.102661,
							"TimingRepresentationsN":8.8059e-2,
							"TiminguValues_ij":9.3494e-2,
							"TiminguPolys_ij_N":8.397e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":10,
						"IsRadical":true,
						"ArcColoring":[
							[
								"-1 + 2*a + u - a*u + 2*a*u^2 + u^3 + a*u^4",
								"-1 + a + u - a*u + 2*a*u^2 + u^3 + a*u^4"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"1 - u + a*u - a*u^2 - u^3 - a*u^4",
								"1 - a - u + a*u - a*u^2 - u^3 - a*u^4"
							],
							[
								"a",
								"1 - a - u + a*u - a*u^2 - u^3 - a*u^4"
							],
							[
								"-1 + 2*a - u - 2*u^2 + 2*a*u^2 - u^3 - u^4 + a*u^4",
								"a - u + a*u - 2*u^2 + 2*a*u^2 - 2*u^3 + a*u^3 - u^4 + a*u^4"
							],
							[
								"u",
								"u + u^3"
							],
							[
								0,
								"u"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-2.96077 - 1.53058*I",
							"-2.96077 - 1.53058*I",
							"-2.96077 + 1.53058*I",
							"-2.96077 + 1.53058*I",
							-0.888787,
							-0.888787,
							"2.58269 + 4.40083*I",
							"2.58269 + 4.40083*I",
							"2.58269 - 4.40083*I",
							"2.58269 - 4.40083*I"
						],
						"uPolysN":[
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"1 + 2*u + 3*u^2 + 6*u^3 + 7*u^4 + 8*u^5 + 8*u^6 + 6*u^7 + 5*u^8 + 2*u^9 + u^10",
							"1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"1 + 2*u + 3*u^2 + 6*u^3 + 7*u^4 + 8*u^5 + 8*u^6 + 6*u^7 + 5*u^8 + 2*u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10"
						],
						"uPolys":[
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"(1 + u + u^2 + 2*u^3 + u^4 + u^5)^2",
							"1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"(1 + u + u^2 + 2*u^3 + u^4 + u^5)^2",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10"
						],
						"aCuspShape":"-8 + 2*(1 + 2*u + 2*u^2 + 2*u^3)",
						"RepresentationsN":[
							[
								"u->0.33911 + 0.822375 I",
								"a->0.445032 + 0.031192 I",
								"b->1.23604 - 0.156723 I"
							],
							[
								"u->0.33911 + 0.822375 I",
								"a->0.46155 + 2.4566 I",
								"b->-0.926127 - 0.393188 I"
							],
							[
								"u->0.33911 - 0.822375 I",
								"a->0.445032 - 0.031192 I",
								"b->1.23604 + 0.156723 I"
							],
							[
								"u->0.33911 - 0.822375 I",
								"a->0.46155 - 2.4566 I",
								"b->-0.926127 + 0.393188 I"
							],
							[
								"u->-0.766826",
								"a->0.595741 + 0.12401 I",
								"b->0.608868 - 0.334904 I"
							],
							[
								"u->-0.766826",
								"a->0.595741 - 0.12401 I",
								"b->0.608868 + 0.334904 I"
							],
							[
								"u->-0.455697 + 1.20015 I",
								"a->0.542114 + 0.781069 I",
								"b->-0.400287 - 0.864056 I"
							],
							[
								"u->-0.455697 + 1.20015 I",
								"a->-0.04444 - 1.54938 I",
								"b->-1.0185 + 0.644891 I"
							],
							[
								"u->-0.455697 - 1.20015 I",
								"a->0.542114 - 0.781069 I",
								"b->-0.400287 + 0.864056 I"
							],
							[
								"u->-0.455697 - 1.20015 I",
								"a->-0.04444 + 1.54938 I",
								"b->-1.0185 - 0.644891 I"
							]
						],
						"Epsilon":0.714253,
						"uPolys_ij_N":[
							"1 + 10*u + 45*u^2 + 120*u^3 + 210*u^4 + 252*u^5 + 210*u^6 + 120*u^7 + 45*u^8 + 10*u^9 + u^10",
							"1 + 2*u + 3*u^2 + 6*u^3 + 7*u^4 + 8*u^5 + 8*u^6 + 6*u^7 + 5*u^8 + 2*u^9 + u^10",
							"1 + 4*u + 8*u^2 + 25*u^3 + 55*u^4 + 40*u^5 - 8*u^6 - 18*u^7 - 2*u^8 + 3*u^9 + u^10",
							"1 - 2*u - u^2 + 10*u^3 - 13*u^4 + 20*u^6 - 26*u^7 + 17*u^8 - 6*u^9 + u^10",
							"1 + 2*u + 3*u^2 - 2*u^3 - 5*u^4 - 4*u^5 + 4*u^6 + 6*u^7 - 3*u^8 - 2*u^9 + u^10",
							"1 + 6*u + 19*u^2 + 46*u^3 + 83*u^4 + 112*u^5 + 120*u^6 + 90*u^7 + 41*u^8 + 10*u^9 + u^10",
							"1 + 4*u + 8*u^2 + 25*u^3 + 55*u^4 + 40*u^5 - 8*u^6 - 18*u^7 - 2*u^8 + 3*u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10",
							"1 - 4*u + 22*u^2 - 15*u^3 + 45*u^4 - 6*u^5 + 22*u^6 + 6*u^7 + u^9 + u^10",
							"1 + 20*u^2 + 35*u^3 + u^4 - 8*u^5 + 12*u^6 + 2*u^7 - 4*u^8 + u^9 + u^10",
							"1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10",
							"1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10",
							"1 + 20*u^2 + 35*u^3 + u^4 - 8*u^5 + 12*u^6 + 2*u^7 - 4*u^8 + u^9 + u^10",
							"1 - 4*u + 22*u^2 - 15*u^3 + 45*u^4 - 6*u^5 + 22*u^6 + 6*u^7 + u^9 + u^10"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"ij_list":[
							[
								"{4, 7}"
							],
							[
								"{2, 8}",
								"{3, 7}",
								"{3, 8}"
							],
							[
								"{5, 8}"
							],
							[
								"{1, 5}",
								"{2, 3}",
								"{7, 8}"
							],
							[
								"{2, 7}"
							],
							[
								"{4, 6}"
							],
							[
								"{1, 3}",
								"{3, 6}"
							],
							[
								"{1, 6}",
								"{1, 7}",
								"{6, 8}"
							],
							[
								"{1, 8}",
								"{5, 7}",
								"{6, 7}"
							],
							[
								"{5, 6}"
							],
							[
								"{2, 6}"
							],
							[
								"{1, 4}",
								"{2, 4}",
								"{2, 5}"
							],
							[
								"{1, 2}",
								"{3, 5}",
								"{4, 5}"
							],
							[
								"{4, 8}"
							],
							[
								"{3, 4}"
							]
						],
						"SortedReprnIndices":"{7, 8, 9, 10, 3, 4, 1, 2, 5, 6}",
						"aCuspShapeN":[
							"-9.4848850625397633585`5.107654297425926 + 4.4306482981414343093`4.777089502330845*I",
							"-9.4848850625397633585`5.107654297425926 + 4.4306482981414343093`4.777089502330845*I",
							"-9.4848850625397633585`5.107654297425926 - 4.4306482981414343093`4.777089502330845*I",
							"-9.4848850625397633585`5.107654297425926 - 4.4306482981414343093`4.777089502330845*I",
							-8.5189,
							-8.5189,
							"-5.2556863815822715237`5.070863033125841 - 3.4985858421043476704`4.894126125440025*I",
							"-5.2556863815822715237`5.070863033125841 - 3.4985858421043476704`4.894126125440025*I",
							"-5.2556863815822715237`5.070863033125841 + 3.4985858421043476704`4.894126125440025*I",
							"-5.2556863815822715237`5.070863033125841 + 3.4985858421043476704`4.894126125440025*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_15_2",
						"Generators":[
							"a",
							"-1 + b",
							"1 + v"
						],
						"VariableOrder":[
							"b",
							"a",
							"v"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"ZeroDimensionalVars":[
							"b",
							"a",
							"v"
						],
						"Timings":{
							"TimingZeroDimVars":5.0011e-2,
							"TimingmagmaVCompNormalize":0.114429,
							"TimingNumberOfSols":1.7444e-2,
							"TimingIsRadical":1.134e-3,
							"TimingArcColoring":3.5657e-2,
							"TimingObstruction":3.35e-4,
							"TimingComplexVolumeN":0.532258,
							"TimingaCuspShapeN":3.734e-3,
							"TiminguValues":0.518314,
							"TiminguPolysN":1.43e-4,
							"TiminguPolys":0.650955,
							"TimingaCuspShape":8.6243e-2,
							"TimingRepresentationsN":1.9232e-2,
							"TiminguValues_ij":7.4196e-2,
							"TiminguPoly_ij":0.317488,
							"TiminguPolys_ij_N":6.500000000000001e-5
						},
						"Legacy":{
							"IdealName":"J8_15_2",
							"Generators":[
								"-1 + b",
								"1 + v"
							],
							"VariableOrder":[
								"b",
								"a",
								"v"
							],
							"Characteristic":0,
							"MonomialOrder":"lex"
						},
						"NumberOfSols":1,
						"IsRadical":true,
						"ArcColoring":[
							"{0, -1}",
							"{1, 0}",
							"{1, 0}",
							"{1, 1}",
							"{0, 1}",
							"{-1, 1}",
							"{-1, 0}",
							"{-1, 0}"
						],
						"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":[
							[
								"v->-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_15_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":4.2564000000000005e-2,
							"TimingZeroDimVars":4.3255999999999996e-2,
							"TimingmagmaVCompNormalize":4.4401e-2,
							"TimingNumberOfSols":1.6899e-2,
							"TimingIsRadical":1.1e-3,
							"TimingArcColoring":3.5716000000000005e-2,
							"TimingObstruction":3.31e-4,
							"TimingComplexVolumeN":0.323772,
							"TimingaCuspShapeN":3.6309999999999997e-3,
							"TiminguValues":0.525603,
							"TiminguPolysN":6.400000000000002e-5,
							"TiminguPolys":0.656752,
							"TimingaCuspShape":9.0684e-2,
							"TimingRepresentationsN":2.0092e-2,
							"TiminguValues_ij":7.5028e-2,
							"TiminguPoly_ij":9.861800000000001e-2,
							"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)*(1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7)*(1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10)",
				"u*(1 + u + u^2 + 2*u^3 + u^4 + u^5)^2*(2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7)",
				"(-1 + u)*(1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7)*(1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10)",
				"(1 + u)*(1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7)*(1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10)",
				"(-1 + u)*(1 + 5*u + 6*u^2 + 9*u^3 + 8*u^4 + 7*u^5 + 3*u^6 + u^7)*(1 + 4*u + 10*u^2 + 13*u^3 + 13*u^4 + 14*u^5 + 18*u^6 + 18*u^7 + 12*u^8 + 5*u^9 + u^10)",
				"(-1 + u)*(1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7)*(1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10)",
				"u*(1 + u + u^2 + 2*u^3 + u^4 + u^5)^2*(2 - 2*u - u^2 + 5*u^3 - 7*u^4 + 6*u^5 - 3*u^6 + u^7)",
				"(1 + u)*(1 + u - 2*u^2 + u^3 + 2*u^4 - u^5 - u^6 + u^7)*(1 - 2*u^2 + u^3 + 3*u^4 - 4*u^5 + 4*u^7 - 2*u^8 - u^9 + u^10)"
			],
			"RileyPolyC":[
				"(-1 + y)*(-1 + 5*y - 6*y^2 + 9*y^3 - 8*y^4 + 7*y^5 - 3*y^6 + y^7)*(1 - 4*y + 10*y^2 - 13*y^3 + 13*y^4 - 14*y^5 + 18*y^6 - 18*y^7 + 12*y^8 - 5*y^9 + y^10)",
				"y*(-1 - y + y^2 + 4*y^3 + 3*y^4 + y^5)^2*(-4 + 8*y + 7*y^2 - y^3 + y^4 + 4*y^5 + 3*y^6 + y^7)",
				"(-1 + y)*(-1 + 13*y + 38*y^2 + 49*y^3 + 36*y^4 + 19*y^5 + 5*y^6 + y^7)*(1 + 4*y + 22*y^2 + 15*y^3 + 45*y^4 + 6*y^5 + 22*y^6 - 6*y^7 - y^9 + y^10)",
				"(-1 + y)*(-1 + 5*y - 6*y^2 + 9*y^3 - 8*y^4 + 7*y^5 - 3*y^6 + y^7)*(1 - 4*y + 10*y^2 - 13*y^3 + 13*y^4 - 14*y^5 + 18*y^6 - 18*y^7 + 12*y^8 - 5*y^9 + y^10)",
				"(-1 + y)*(-1 + 13*y + 38*y^2 + 49*y^3 + 36*y^4 + 19*y^5 + 5*y^6 + y^7)*(1 + 4*y + 22*y^2 + 15*y^3 + 45*y^4 + 6*y^5 + 22*y^6 - 6*y^7 - y^9 + y^10)",
				"(-1 + y)*(-1 + 5*y - 6*y^2 + 9*y^3 - 8*y^4 + 7*y^5 - 3*y^6 + y^7)*(1 - 4*y + 10*y^2 - 13*y^3 + 13*y^4 - 14*y^5 + 18*y^6 - 18*y^7 + 12*y^8 - 5*y^9 + y^10)",
				"y*(-1 - y + y^2 + 4*y^3 + 3*y^4 + y^5)^2*(-4 + 8*y + 7*y^2 - y^3 + y^4 + 4*y^5 + 3*y^6 + y^7)",
				"(-1 + y)*(-1 + 5*y - 6*y^2 + 9*y^3 - 8*y^4 + 7*y^5 - 3*y^6 + y^7)*(1 - 4*y + 10*y^2 - 13*y^3 + 13*y^4 - 14*y^5 + 18*y^6 - 18*y^7 + 12*y^8 - 5*y^9 + y^10)"
			]
		},
		"GeometricRepresentation":[
			9.93065,
			[
				"J8_15_0",
				1,
				"{5, 6}"
			]
		]
	}
}