{
	"Index":23,
	"Name":"8_9",
	"RolfsenName":"8_9",
	"DTname":"8a_16",
	"TunnelNumber":1,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":true,
	"Diagram":{
		"Scode":"{-13, -11, 1, 15, -3, -5, 7, 9}",
		"Acode":"{-7, -6, 1, 8, -2, -3, 4, 5}",
		"PDcode":[
			"{6, 2, 7, 1}",
			"{14, 8, 15, 7}",
			"{10, 3, 11, 4}",
			"{2, 13, 3, 14}",
			"{12, 5, 13, 6}",
			"{4, 11, 5, 12}",
			"{16, 10, 1, 9}",
			"{8, 16, 9, 15}"
		],
		"CBtype":"{2, 0}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{7, 3}",
				[],
				[
					"{7, -3, 6, 2}",
					"{3, -6, 2, 2}",
					"{2, -7, 1, 2}",
					"{3, 1, 4, 1}",
					"{6, -2, 5, 2}",
					"{1, 5, 8, 2}"
				],
				"{7}",
				"{4}",
				4
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"1 + u - 2*u^3 - 4*u^4 + 5*u^5 - 4*u^6 - 4*u^7 + 19*u^8 + u^9 - 18*u^10 + 7*u^12 - u^14",
						"-u + u^2 - u^3 + 4*u^4 - 3*u^5 - 2*u^6 + 8*u^7 - 10*u^8 - 5*u^9 + 13*u^10 + u^11 - 6*u^12 + u^14"
					],
					"TimingForPrimaryIdeals":8.7149e-2
				},
				"v":{
					"CheckEq":[
						"1 - v"
					],
					"TimingForPrimaryIdeals":7.0589e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J8_9_0",
						"Generators":[
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12"
						],
						"VariableOrder":[
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":3.2502e-2,
							"TimingZeroDimVars":1.2092e-2,
							"TimingmagmaVCompNormalize":1.3153999999999999e-2,
							"TimingNumberOfSols":2.1497000000000002e-2,
							"TimingIsRadical":1.41e-3,
							"TimingArcColoring":3.5131e-2,
							"TimingObstruction":8.801999999999999e-3,
							"TimingComplexVolumeN":6.314028,
							"TimingaCuspShapeN":4.3077e-2,
							"TiminguValues":0.51028,
							"TiminguPolysN":6.8650000000000004e-3,
							"TiminguPolys":0.659854,
							"TimingaCuspShape":0.10004,
							"TimingRepresentationsN":2.4647000000000002e-2,
							"TiminguValues_ij":8.1684e-2,
							"TiminguPoly_ij":0.846208,
							"TiminguPolys_ij_N":8.084e-3
						},
						"ZeroDimensionalVars":[
							"u"
						],
						"NumberOfSols":12,
						"IsRadical":true,
						"ArcColoring":[
							[
								"-2*u + u^3",
								"u - u^3"
							],
							[
								"-u",
								"u - u^3"
							],
							[
								0,
								"u"
							],
							[
								"-4*u^3 + 4*u^5 - u^7",
								"u + 2*u^3 - 3*u^5 + u^7"
							],
							[
								"1 - u^2",
								"2*u^2 - u^4"
							],
							[
								1,
								"u^2"
							],
							"{1, 0}",
							[
								"-u + 2*u^3 - 5*u^5 + 4*u^7 - u^9",
								"u + u^3 + 3*u^5 - 8*u^7 + 5*u^9 - u^11"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-3.11509 - 0.09361*I",
							"-3.11509 + 0.09361*I",
							"-5.13898 + 3.8848*I",
							"-5.13898 - 3.8848*I",
							"3.11509 - 0.09361*I",
							"3.11509 + 0.09361*I",
							"5.13898 + 3.8848*I",
							"5.13898 - 3.8848*I",
							"0. - 7.58818*I",
							"0. + 7.58818*I",
							"0. - 1.20211*I",
							"0. + 1.20211*I"
						],
						"uPolysN":[
							"1 + 4*u + 7*u^2 + 7*u^3 + 14*u^4 + 24*u^5 + 24*u^6 + 14*u^7 + 5*u^8 + 4*u^9 + 5*u^10 + 3*u^11 + u^12",
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 - 4*u + 7*u^2 - 7*u^3 + 14*u^4 - 24*u^5 + 24*u^6 - 14*u^7 + 5*u^8 - 4*u^9 + 5*u^10 - 3*u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12"
						],
						"uPolys":[
							"1 + 4*u + 7*u^2 + 7*u^3 + 14*u^4 + 24*u^5 + 24*u^6 + 14*u^7 + 5*u^8 + 4*u^9 + 5*u^10 + 3*u^11 + u^12",
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 - 4*u + 7*u^2 - 7*u^3 + 14*u^4 - 24*u^5 + 24*u^6 - 14*u^7 + 5*u^8 - 4*u^9 + 5*u^10 - 3*u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12"
						],
						"aCuspShape":"-2*(1 - 2*u + 4*u^2 - 2*u^3 - 6*u^4 + 10*u^5 + 2*u^6 - 8*u^7 + 2*u^9)",
						"RepresentationsN":[
							[
								"u->0.851576 + 0.246566 I"
							],
							[
								"u->0.851576 - 0.246566 I"
							],
							[
								"u->0.227035 + 0.729376 I"
							],
							[
								"u->0.227035 - 0.729376 I"
							],
							[
								"u->-1.3432 + 0.063939 I"
							],
							[
								"u->-1.3432 - 0.063939 I"
							],
							[
								"u->1.38316 + 0.208829 I"
							],
							[
								"u->1.38316 - 0.208829 I"
							],
							[
								"u->-1.39026 + 0.29206 I"
							],
							[
								"u->-1.39026 - 0.29206 I"
							],
							[
								"u->-0.228302 + 0.503204 I"
							],
							[
								"u->-0.228302 - 0.503204 I"
							]
						],
						"Epsilon":0.127878,
						"uPolys_ij":[
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 + 2*u + u^2 - 21*u^3 + 18*u^4 + 28*u^5 - 12*u^6 - 100*u^7 + 169*u^8 - 126*u^9 + 51*u^10 - 11*u^11 + u^12",
							"1 + 4*u + 7*u^2 + 7*u^3 + 14*u^4 + 24*u^5 + 24*u^6 + 14*u^7 + 5*u^8 + 4*u^9 + 5*u^10 + 3*u^11 + u^12",
							"1 - 4*u + 7*u^2 - 7*u^3 + 14*u^4 - 24*u^5 + 24*u^6 - 14*u^7 + 5*u^8 - 4*u^9 + 5*u^10 - 3*u^11 + u^12",
							"4 + 2*u + 19*u^2 + 21*u^3 + 35*u^4 + 64*u^5 + 123*u^6 + 127*u^7 + 61*u^8 + 28*u^9 + 13*u^10 + u^11 + u^12",
							"1 - 2*u + 21*u^2 + 3*u^3 + 94*u^4 - 52*u^5 + 36*u^6 - 36*u^7 + 37*u^8 - 2*u^9 + 11*u^10 + u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
							"1 + 2*u + 21*u^2 - 3*u^3 + 94*u^4 + 52*u^5 + 36*u^6 + 36*u^7 + 37*u^8 + 2*u^9 + 11*u^10 - u^11 + u^12",
							"1 + 6*u + 17*u^2 + 23*u^3 + 26*u^4 - 226*u^5 + 150*u^6 + 36*u^7 - 55*u^8 + 17*u^10 + 5*u^11 + u^12",
							"4 - 2*u + 19*u^2 - 21*u^3 + 35*u^4 - 64*u^5 + 123*u^6 - 127*u^7 + 61*u^8 - 28*u^9 + 13*u^10 - u^11 + u^12",
							"1 - 2*u + u^2 + 21*u^3 + 18*u^4 - 28*u^5 - 12*u^6 + 100*u^7 + 169*u^8 + 126*u^9 + 51*u^10 + 11*u^11 + u^12"
						],
						"GeometricComponent":"{9, 10}",
						"uPolys_ij_N":[
							"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
							"1 + 2*u + u^2 - 21*u^3 + 18*u^4 + 28*u^5 - 12*u^6 - 100*u^7 + 169*u^8 - 126*u^9 + 51*u^10 - 11*u^11 + u^12",
							"1 + 4*u + 7*u^2 + 7*u^3 + 14*u^4 + 24*u^5 + 24*u^6 + 14*u^7 + 5*u^8 + 4*u^9 + 5*u^10 + 3*u^11 + u^12",
							"1 - 4*u + 7*u^2 - 7*u^3 + 14*u^4 - 24*u^5 + 24*u^6 - 14*u^7 + 5*u^8 - 4*u^9 + 5*u^10 - 3*u^11 + u^12",
							"4 + 2*u + 19*u^2 + 21*u^3 + 35*u^4 + 64*u^5 + 123*u^6 + 127*u^7 + 61*u^8 + 28*u^9 + 13*u^10 + u^11 + u^12",
							"1 - 2*u + 21*u^2 + 3*u^3 + 94*u^4 - 52*u^5 + 36*u^6 - 36*u^7 + 37*u^8 - 2*u^9 + 11*u^10 + u^11 + u^12",
							"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
							"1 + 2*u + 21*u^2 - 3*u^3 + 94*u^4 + 52*u^5 + 36*u^6 + 36*u^7 + 37*u^8 + 2*u^9 + 11*u^10 - u^11 + u^12",
							"1 + 6*u + 17*u^2 + 23*u^3 + 26*u^4 - 226*u^5 + 150*u^6 + 36*u^7 - 55*u^8 + 17*u^10 + 5*u^11 + u^12",
							"4 - 2*u + 19*u^2 - 21*u^3 + 35*u^4 - 64*u^5 + 123*u^6 - 127*u^7 + 61*u^8 - 28*u^9 + 13*u^10 - u^11 + u^12",
							"1 - 2*u + u^2 + 21*u^3 + 18*u^4 - 28*u^5 - 12*u^6 + 100*u^7 + 169*u^8 + 126*u^9 + 51*u^10 + 11*u^11 + u^12"
						],
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{1, 2, 5, 6}",
							9.361000000000001e-2
						],
						"ij_list":[
							[
								"{2, 5}",
								"{2, 6}",
								"{3, 6}",
								"{3, 7}"
							],
							[
								"{2, 3}",
								"{5, 6}",
								"{6, 7}"
							],
							[
								"{1, 7}",
								"{2, 7}",
								"{3, 5}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{5, 7}"
							],
							[
								"{1, 6}"
							],
							[
								"{1, 2}"
							],
							[
								"{1, 5}",
								"{4, 7}",
								"{4, 8}",
								"{5, 8}"
							],
							[
								"{2, 8}",
								"{3, 4}"
							],
							[
								"{4, 6}",
								"{6, 8}"
							],
							[
								"{2, 4}",
								"{3, 8}"
							],
							[
								"{1, 8}",
								"{4, 5}",
								"{7, 8}"
							]
						],
						"SortedReprnIndices":"{10, 9, 7, 3, 8, 4, 12, 11, 6, 2, 5, 1}",
						"aCuspShapeN":[
							"-1.990879923063066973`5.120826365226447 - 0.7620376421265542218`4.703757722802835*I",
							"-1.990879923063066973`5.120826365226447 + 0.7620376421265542218`4.703757722802835*I",
							"-4.8056124389278210253`5.028565746349671 - 4.1714007544306613005`4.967098918623616*I",
							"-4.8056124389278210253`5.028565746349671 + 4.1714007544306613005`4.967098918623616*I",
							"1.9908799230630669738`5.120826365226447 - 0.7620376421265542224`4.703757722802835*I",
							"1.9908799230630669738`5.120826365226447 + 0.7620376421265542224`4.703757722802835*I",
							"4.8056124389278210227`5.028565746349671 - 4.1714007544306612993`4.967098918623616*I",
							"4.8056124389278210227`5.028565746349671 + 4.1714007544306612993`4.967098918623616*I",
							"0``4.439941886895897 + 5.1353862145012419187`5.150514997831987*I",
							"0``4.439941886895897 - 5.1353862145012419187`5.150514997831987*I",
							"0``4.399436242438786 + 5.6373987570698274151`5.150514997831991*I",
							"0``4.399436242438786 - 5.6373987570698274151`5.150514997831991*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"abJ8_9_1",
						"Generators":[
							"-1 + v"
						],
						"VariableOrder":[
							"v"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":3.0831e-2,
							"TimingZeroDimVars":1.2364e-2,
							"TimingmagmaVCompNormalize":1.3357e-2,
							"TimingNumberOfSols":1.4694e-2,
							"TimingIsRadical":1.242e-3,
							"TimingArcColoring":3.3767e-2,
							"TimingObstruction":3.53e-4,
							"TimingComplexVolumeN":0.187524,
							"TimingaCuspShapeN":3.637e-3,
							"TiminguValues":0.50742,
							"TiminguPolysN":1.0600000000000003e-4,
							"TiminguPolys":0.63808,
							"TimingaCuspShape":8.424200000000001e-2,
							"TimingRepresentationsN":1.6618e-2,
							"TiminguValues_ij":7.4092e-2,
							"TiminguPoly_ij":0.109828,
							"TiminguPolys_ij_N":6.2e-5
						},
						"ZeroDimensionalVars":[
							"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."
							]
						],
						"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 + 4*u + 7*u^2 + 7*u^3 + 14*u^4 + 24*u^5 + 24*u^6 + 14*u^7 + 5*u^8 + 4*u^9 + 5*u^10 + 3*u^11 + u^12",
				"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
				"1 - 4*u + 7*u^2 - 7*u^3 + 14*u^4 - 24*u^5 + 24*u^6 - 14*u^7 + 5*u^8 - 4*u^9 + 5*u^10 - 3*u^11 + u^12",
				"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
				"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
				"1 + u^2 + 3*u^3 - 2*u^5 - 6*u^6 - 4*u^7 + 9*u^8 + 4*u^9 - 5*u^10 - u^11 + u^12",
				"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12",
				"1 + u^2 - 3*u^3 + 2*u^5 - 6*u^6 + 4*u^7 + 9*u^8 - 4*u^9 - 5*u^10 + u^11 + u^12"
			],
			"RileyPolyC":[
				"1 - 2*y + 21*y^2 + 3*y^3 + 94*y^4 - 52*y^5 + 36*y^6 - 36*y^7 + 37*y^8 - 2*y^9 + 11*y^10 + y^11 + y^12",
				"1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12",
				"1 - 2*y + 21*y^2 + 3*y^3 + 94*y^4 - 52*y^5 + 36*y^6 - 36*y^7 + 37*y^8 - 2*y^9 + 11*y^10 + y^11 + y^12",
				"1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12",
				"1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12",
				"1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12",
				"1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12",
				"1 + 2*y + y^2 - 21*y^3 + 18*y^4 + 28*y^5 - 12*y^6 - 100*y^7 + 169*y^8 - 126*y^9 + 51*y^10 - 11*y^11 + y^12"
			]
		},
		"GeometricRepresentation":[
			7.58818,
			[
				"J8_9_0",
				1,
				"{9, 10}"
			]
		]
	}
}