{
	"Index":30,
	"Name":"8_16",
	"RolfsenName":"8_16",
	"DTname":"8a_15",
	"TunnelNumber":2,
	"BridgeNumber":"Not implemented",
	"Hyperbolic":true,
	"Diagram":{
		"Scode":"{-7, 9, -1, 13, -15, 5, -3, -11}",
		"Acode":"{-4, 5, -1, 7, -8, 3, -2, -6}",
		"PDcode":[
			"{2, 7, 3, 8}",
			"{4, 10, 5, 9}",
			"{6, 1, 7, 2}",
			"{8, 14, 9, 13}",
			"{10, 15, 11, 16}",
			"{12, 6, 13, 5}",
			"{14, 3, 15, 4}",
			"{16, 11, 1, 12}"
		],
		"CBtype":"{2, 2}",
		"ParabolicReps":{
			"SolvingSeq":[
				"{4, 7, 2}",
				[],
				[
					"{4, 7, 5, 1}",
					"{7, -2, 8, 1}",
					"{2, -4, 1, 2}",
					"{4, -1, 3, 2}",
					"{7, 3, 6, 2}"
				],
				"{2, 5}",
				"{8}",
				8
			],
			"SolvingSeqIdx":1,
			"Comps":{
				"u":{
					"CheckEq":[
						"-1 + a - b - a*b + b^2 + a*u^2",
						"b - b^2 - b*u^2 + a*u^4",
						"1 - u - 2*a*b*u + 2*b^2*u - a^2*b^2*u + 2*a*b^3*u - b^4*u - a^2*u^2 - a^3*b*u^2 + a^4*u^4",
						"-u - b^2*u - a*b^3*u + b^4*u - 2*a*b*u^2 - a^2*b^2*u^2 + a^2*u^4 + a^3*b*u^4"
					],
					"TimingForPrimaryIdeals":9.3937e-2
				},
				"v":{
					"CheckEq":[
						"b - b^2",
						"-1 + a - b - a*b + b^2",
						"1 - v + b^2*v + a*b^3*v - b^4*v + b^2*v^2 - a*b^3*v^2",
						"b^4*v - b^4*v^2"
					],
					"TimingForPrimaryIdeals":7.1338e-2
				},
				"PrimaryIdeals":[
					{
						"IdealName":"J8_16_0",
						"Generators":[
							"-2 + b + 2*u - u^4",
							"-11 + a + 10*u - u^2 - 2*u^3 - 5*u^4",
							"-1 + 3*u - 2*u^2 + u^5"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.2279000000000004e-2,
							"TimingZeroDimVars":4.7235e-2,
							"TimingmagmaVCompNormalize":4.843e-2,
							"TimingNumberOfSols":5.3818000000000005e-2,
							"TimingIsRadical":2.46e-3,
							"TimingArcColoring":3.9106999999999996e-2,
							"TimingObstruction":3.7519999999999997e-3,
							"TimingComplexVolumeN":3.598694,
							"TimingaCuspShapeN":1.9629e-2,
							"TiminguValues":0.522774,
							"TiminguPolysN":1.722e-3,
							"TiminguPolys":0.664537,
							"TimingaCuspShape":0.102768,
							"TimingRepresentationsN":5.4925e-2,
							"TiminguValues_ij":9.398400000000001e-2,
							"TiminguPoly_ij":0.83243,
							"TiminguPolys_ij_N":2.312e-3
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":5,
						"IsRadical":true,
						"ArcColoring":[
							[
								"9 - 8*u + u^2 + 2*u^3 + 4*u^4",
								"2 - 2*u + u^4"
							],
							[
								"11 - 10*u + u^2 + 2*u^3 + 5*u^4",
								"2 - 2*u + u^4"
							],
							[
								"11 - 9*u + u^2 + 2*u^3 + 5*u^4",
								"2 - 2*u + u^3 + u^4"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"40 - 35*u + 4*u^2 + 9*u^3 + 19*u^4",
								"7 - 6*u + u^2 + 2*u^3 + 3*u^4"
							],
							[
								0,
								"u"
							],
							[
								"36 - 33*u + 4*u^2 + 8*u^3 + 17*u^4",
								"6 - 5*u + u^2 + u^3 + 3*u^4"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"-1.32133 - 1.30034*I",
							"-1.32133 + 1.30034*I",
							3.68417,
							"6.88145 + 10.579*I",
							"6.88145 - 10.579*I"
						],
						"uPolysN":[
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"1 + 3*u + 2*u^2 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"1 + 3*u + 2*u^2 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"8 + 24*u + 30*u^2 + 19*u^3 + 7*u^4 + u^5",
							"4 + 14*u + 23*u^2 + 18*u^3 + 7*u^4 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5"
						],
						"uPolys":[
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"1 + 3*u + 2*u^2 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"1 + 3*u + 2*u^2 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"8 + 24*u + 30*u^2 + 19*u^3 + 7*u^4 + u^5",
							"4 + 14*u + 23*u^2 + 18*u^3 + 7*u^4 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5"
						],
						"aCuspShape":"2 - 4*(7 - 5*u + u^3 + 3*u^4)",
						"RepresentationsN":[
							[
								"u->0.761218 + 0.545187 I",
								"a->0.148341 - 0.707998 I",
								"b->-0.131705 - 0.621876 I"
							],
							[
								"u->0.761218 - 0.545187 I",
								"a->0.148341 + 0.707998 I",
								"b->-0.131705 + 0.621876 I"
							],
							[
								"u->0.476529",
								"a->6.93603",
								"b->1.09851"
							],
							[
								"u->-0.99948 + 1.18099 I",
								"a->-0.116359 - 1.04335 I",
								"b->-1.41755 - 0.49337 I"
							],
							[
								"u->-0.99948 - 1.18099 I",
								"a->-0.116359 + 1.04335 I",
								"b->-1.41755 + 0.49337 I"
							]
						],
						"Epsilon":2.17736,
						"uPolys_ij":[
							"1 + 3*u + 2*u^2 + u^5",
							"1 + 5*u + 4*u^2 + 6*u^3 + u^5",
							"64 + 96*u + 100*u^2 - 11*u^3 + 11*u^4 + u^5",
							"16 + 44*u + 67*u^2 + 42*u^3 + 11*u^4 + u^5",
							"7 + 19*u + 16*u^2 - 14*u^3 + u^5",
							"1 + 7*u + 14*u^2 + 2*u^3 + 2*u^4 + u^5",
							"4 + 14*u + 23*u^2 + 18*u^3 + 7*u^4 + u^5",
							"8 + 24*u + 30*u^2 + 19*u^3 + 7*u^4 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"-1 - 3*u + 6*u^3 - 4*u^4 + u^5",
							"-16 + 12*u - 81*u^2 + 30*u^3 - 13*u^4 + u^5"
						],
						"GeometricComponent":"{4, 5}",
						"uPolys_ij_N":[
							"1 + 3*u + 2*u^2 + u^5",
							"1 + 5*u + 4*u^2 + 6*u^3 + u^5",
							"64 + 96*u + 100*u^2 - 11*u^3 + 11*u^4 + u^5",
							"16 + 44*u + 67*u^2 + 42*u^3 + 11*u^4 + u^5",
							"7 + 19*u + 16*u^2 - 14*u^3 + u^5",
							"1 + 7*u + 14*u^2 + 2*u^3 + 2*u^4 + u^5",
							"4 + 14*u + 23*u^2 + 18*u^3 + 7*u^4 + u^5",
							"8 + 24*u + 30*u^2 + 19*u^3 + 7*u^4 + u^5",
							"-1 - u - 2*u^2 + 2*u^4 + u^5",
							"-1 - 3*u + 6*u^3 - 4*u^4 + u^5",
							"-16 + 12*u - 81*u^2 + 30*u^3 - 13*u^4 + u^5"
						],
						"Multiplicity":1,
						"ij_list":[
							[
								"{2, 5}",
								"{3, 5}",
								"{4, 7}",
								"{5, 7}"
							],
							[
								"{1, 5}",
								"{2, 3}",
								"{4, 5}"
							],
							[
								"{6, 7}"
							],
							[
								"{4, 6}"
							],
							[
								"{2, 6}",
								"{4, 8}"
							],
							[
								"{1, 7}",
								"{3, 8}"
							],
							[
								"{2, 7}",
								"{2, 8}"
							],
							[
								"{3, 6}",
								"{3, 7}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{1, 6}",
								"{2, 4}",
								"{5, 8}",
								"{6, 8}"
							],
							[
								"{1, 2}",
								"{1, 8}",
								"{3, 4}",
								"{5, 6}"
							],
							[
								"{7, 8}"
							]
						],
						"SortedReprnIndices":"{4, 5, 2, 1, 3}",
						"aCuspShapeN":[
							"-2.513695558930374426`5.032232168231375 + 2.1390245543217590151`4.962135260339471*I",
							"-2.513695558930374426`5.032232168231375 - 2.1390245543217590151`4.962135260339471*I",
							-1.7521e1,
							"6.2742156093792980363`4.996615707275369 - 6.3720047034358775655`5.0033323561066245*I",
							"6.2742156093792980363`4.996615707275369 + 6.3720047034358775655`5.0033323561066245*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"J8_16_1",
						"Generators":[
							"-492 + 605*b + 1828*u + 4202*u^2 + 10340*u^3 + 10717*u^4 + 16376*u^5 + 13190*u^6 + 11438*u^7 + 3836*u^8 + 2974*u^9 + 1706*u^10 + 816*u^11",
							"-1235 + 121*a - 4512*u - 10373*u^2 - 16632*u^3 - 20793*u^4 - 22514*u^5 - 18162*u^6 - 11416*u^7 - 5134*u^8 - 3502*u^9 - 1838*u^10 - 596*u^11",
							"1 + 4*u + 12*u^2 + 22*u^3 + 34*u^4 + 39*u^5 + 41*u^6 + 31*u^7 + 20*u^8 + 9*u^9 + 6*u^10 + 3*u^11 + u^12"
						],
						"VariableOrder":[
							"b",
							"a",
							"u"
						],
						"Characteristic":0,
						"KnownGroebner":[],
						"Status":[
							"vCompNormalize"
						],
						"MonomialOrder":"lex",
						"IsHomogeneous":false,
						"IsZeroDim":true,
						"IdealDimension":0,
						"Timings":{
							"TimingGroebner":4.1772000000000004e-2,
							"TimingZeroDimVars":5.2504999999999996e-2,
							"TimingmagmaVCompNormalize":5.3638000000000005e-2,
							"TimingNumberOfSols":0.118556,
							"TimingIsRadical":6.305e-3,
							"TimingArcColoring":4.5073999999999996e-2,
							"TimingObstruction":1.855e-2,
							"TimingComplexVolumeN":9.817991,
							"TimingaCuspShapeN":5.6462000000000005e-2,
							"TiminguValues":0.537481,
							"TiminguPolysN":1.6653e-2,
							"TiminguPolys":0.714758,
							"TimingaCuspShape":0.115347,
							"TimingRepresentationsN":0.115763,
							"TiminguValues_ij":0.108107,
							"TiminguPolys_ij_N":2.7778e-2
						},
						"ZeroDimensionalVars":[
							"b",
							"a",
							"u"
						],
						"NumberOfSols":12,
						"IsRadical":true,
						"ArcColoring":[
							[
								"(5683 + 24388*u + 56067*u^2 + 93500*u^3 + 114682*u^4 + 128946*u^5 + 104000*u^6 + 68518*u^7 + 29506*u^8 + 20484*u^9 + 10896*u^10 + 3796*u^11)\/605",
								"(492 - 1828*u - 4202*u^2 - 10340*u^3 - 10717*u^4 - 16376*u^5 - 13190*u^6 - 11438*u^7 - 3836*u^8 - 2974*u^9 - 1706*u^10 - 816*u^11)\/605"
							],
							[
								"(1235 + 4512*u + 10373*u^2 + 16632*u^3 + 20793*u^4 + 22514*u^5 + 18162*u^6 + 11416*u^7 + 5134*u^8 + 3502*u^9 + 1838*u^10 + 596*u^11)\/121",
								"(492 - 1828*u - 4202*u^2 - 10340*u^3 - 10717*u^4 - 16376*u^5 - 13190*u^6 - 11438*u^7 - 3836*u^8 - 2974*u^9 - 1706*u^10 - 816*u^11)\/605"
							],
							[
								"(5433 + 20408*u + 47322*u^2 + 74800*u^3 + 92487*u^4 + 101036*u^5 + 81495*u^6 + 51158*u^7 + 22936*u^8 + 15714*u^9 + 8246*u^10 + 2676*u^11)\/605",
								"(524 - 1396*u - 3344*u^2 - 8140*u^3 - 7484*u^4 - 13152*u^5 - 11500*u^6 - 9516*u^7 - 3087*u^8 - 2528*u^9 - 1512*u^10 - 692*u^11)\/605"
							],
							"{1, 0}",
							[
								1,
								"u^2"
							],
							[
								"(-3013 - 13148*u - 34012*u^2 - 54230*u^3 - 68892*u^4 - 76231*u^5 - 62740*u^6 - 39058*u^7 - 17491*u^8 - 12084*u^9 - 6431*u^10 - 2071*u^11)\/605",
								"(-389 - 835*u - 2013*u^2 - 2453*u^3 - 3678*u^4 - 3285*u^5 - 2689*u^6 - 1002*u^7 - 722*u^8 - 438*u^9 - 203*u^10 - 10*u^11)\/121"
							],
							[
								0,
								"u"
							],
							[
								"(-1472 - 5715*u - 13816*u^2 - 22066*u^3 - 27960*u^4 - 30813*u^5 - 25468*u^6 - 16054*u^7 - 7108*u^8 - 4907*u^9 - 2632*u^10 - 864*u^11)\/121",
								"(-1984 - 1979*u - 4796*u^2 + 330*u^3 - 796*u^4 + 7627*u^5 + 6540*u^6 + 8491*u^7 + 1962*u^8 + 1993*u^9 + 1282*u^10 + 782*u^11)\/605"
							]
						],
						"Obstruction":-1,
						"ComplexVolumeN":[
							"1.91067 + 4.85801*I",
							"1.91067 - 4.85801*I",
							"6.04826 - 2.02988*I",
							"6.04826 + 2.02988*I",
							"1.91067 - 0.79824*I",
							"1.91067 + 0.79824*I",
							"1.91067 + 0.79824*I",
							"1.91067 - 0.79824*I",
							"1.91067 - 4.85801*I",
							"1.91067 + 4.85801*I",
							"6.04826 - 2.02988*I",
							"6.04826 + 2.02988*I"
						],
						"uPolysN":[
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"1 - 6*u + 21*u^2 - 50*u^3 + 90*u^4 - 126*u^5 + 141*u^6 - 126*u^7 + 90*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12",
							"1 - 4*u^2 + 4*u^3 + 6*u^4 - 12*u^5 + 2*u^6 + 12*u^7 - 11*u^8 + 6*u^10 - 4*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12"
						],
						"uPolys":[
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"(1 - u + u^2)^6",
							"(1 - u^2 + u^3)^4",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12"
						],
						"aCuspShape":"2 + (4*(301 - 474*u - 1496*u^2 - 2145*u^3 - 1976*u^4 - 378*u^5 - 930*u^6 - 109*u^7 - 158*u^8 - 2*u^9 - 28*u^10 + 32*u^11))\/605",
						"RepresentationsN":[
							[
								"u->-0.654045 + 0.759899 I",
								"a->0.007824 + 1.14794 I",
								"b->0.167732 + 1.15385 I"
							],
							[
								"u->-0.654045 - 0.759899 I",
								"a->0.007824 - 1.14794 I",
								"b->0.167732 - 1.15385 I"
							],
							[
								"u->0.204191 + 0.813066 I",
								"a->0.219331 - 0.873352 I",
								"b->1.52069 - 0.58643 I"
							],
							[
								"u->0.204191 - 0.813066 I",
								"a->0.219331 + 0.873352 I",
								"b->1.52069 + 0.58643 I"
							],
							[
								"u->-0.438452 + 0.52558 I",
								"a->1.65687 + 0.28727 I",
								"b->0.210547 - 0.250904 I"
							],
							[
								"u->-0.438452 - 0.52558 I",
								"a->1.65687 - 0.28727 I",
								"b->0.210547 + 0.250904 I"
							],
							[
								"u->-0.217317 + 0.536846 I",
								"a->-0.62366 + 1.88689 I",
								"b->1.02901 + 0.216402 I"
							],
							[
								"u->-0.217317 - 0.536846 I",
								"a->-0.62366 - 1.88689 I",
								"b->1.02901 - 0.216402 I"
							],
							[
								"u->0.97217 + 1.33344 I",
								"a->0.051487 + 0.695562 I",
								"b->-1.19221 + 0.314018 I"
							],
							[
								"u->0.97217 - 1.33344 I",
								"a->0.051487 - 0.695562 I",
								"b->-1.19221 - 0.314018 I"
							],
							[
								"u->-1.36655 + 1.2002 I",
								"a->-0.311849 - 0.273888 I",
								"b->-1.23577 + 0.092938 I"
							],
							[
								"u->-1.36655 - 1.2002 I",
								"a->-0.311849 + 0.273888 I",
								"b->-1.23577 - 0.092938 I"
							]
						],
						"Epsilon":1.29879,
						"uPolys_ij_N":[
							"1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12",
							"1 - 8*u + 36*u^2 - 102*u^3 + 216*u^4 - 323*u^5 + 349*u^6 - 277*u^7 + 168*u^8 - 55*u^9 + 22*u^10 - 3*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"7 + 40*u^2 - 32*u^3 - 20*u^4 + 55*u^5 - 21*u^6 - 29*u^7 + 32*u^8 + 13*u^9 - 8*u^10 - u^11 + u^12",
							"1 + 80*u^2 - 270*u^3 + 308*u^4 - 45*u^5 - 195*u^6 + 153*u^7 - 57*u^9 + 34*u^10 - 9*u^11 + u^12",
							"1 + 6*u + 22*u^2 - 66*u^3 + 124*u^4 - 153*u^5 + 149*u^6 - 105*u^7 + 64*u^8 - 27*u^9 + 12*u^10 - 3*u^11 + u^12",
							"1 - 4*u^2 + 4*u^3 + 6*u^4 - 12*u^5 + 2*u^6 + 12*u^7 - 11*u^8 + 6*u^10 - 4*u^11 + u^12",
							"1 - 6*u + 21*u^2 - 50*u^3 + 90*u^4 - 126*u^5 + 141*u^6 - 126*u^7 + 90*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12",
							"1 - 8*u + 28*u^2 - 60*u^3 + 94*u^4 - 116*u^5 + 114*u^6 - 92*u^7 + 61*u^8 - 32*u^9 + 14*u^10 - 4*u^11 + u^12",
							"1 - 8*u + 36*u^2 - 102*u^3 + 216*u^4 - 323*u^5 + 349*u^6 - 277*u^7 + 168*u^8 - 55*u^9 + 22*u^10 - 3*u^11 + u^12",
							"1 - 8*u + 36*u^2 - 108*u^3 + 238*u^4 - 396*u^5 + 506*u^6 - 492*u^7 + 357*u^8 - 184*u^9 + 62*u^10 - 12*u^11 + u^12",
							"1 - 6*u + 21*u^2 - 50*u^3 + 90*u^4 - 126*u^5 + 141*u^6 - 126*u^7 + 90*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12",
							"1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12",
							"1 + 6*u + 22*u^2 - 66*u^3 + 124*u^4 - 153*u^5 + 149*u^6 - 105*u^7 + 64*u^8 - 27*u^9 + 12*u^10 - 3*u^11 + u^12",
							"1 + 80*u^2 - 270*u^3 + 308*u^4 - 45*u^5 - 195*u^6 + 153*u^7 - 57*u^9 + 34*u^10 - 9*u^11 + u^12",
							"1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12",
							"7 + 40*u^2 - 32*u^3 - 20*u^4 + 55*u^5 - 21*u^6 - 29*u^7 + 32*u^8 + 13*u^9 - 8*u^10 - u^11 + u^12"
						],
						"GeometricComponent":0,
						"Multiplicity":1,
						"MinRepresentationVolume":[
							"{5, 6, 7, 8}",
							0.79824
						],
						"ij_list":[
							[
								"{4, 7}",
								"{5, 7}"
							],
							[
								"{1, 5}",
								"{4, 5}"
							],
							[
								"{1, 3}",
								"{1, 4}",
								"{2, 4}"
							],
							[
								"{4, 8}"
							],
							[
								"{1, 2}",
								"{3, 4}"
							],
							[
								"{3, 8}"
							],
							[
								"{2, 7}",
								"{2, 8}"
							],
							[
								"{3, 6}",
								"{3, 7}"
							],
							[
								"{7, 8}"
							],
							[
								"{2, 3}"
							],
							[
								"{4, 6}"
							],
							[
								"{6, 7}"
							],
							[
								"{2, 5}",
								"{3, 5}"
							],
							[
								"{1, 7}"
							],
							[
								"{1, 8}",
								"{5, 6}"
							],
							[
								"{1, 6}",
								"{5, 8}",
								"{6, 8}"
							],
							[
								"{2, 6}"
							]
						],
						"SortedReprnIndices":"{1, 10, 2, 9, 4, 12, 3, 11, 6, 7, 5, 8}",
						"aCuspShapeN":[
							"4.4902446675066144799`4.907707129196356 - 6.4435486816167315331`5.064562237417441*I",
							"4.4902446675066144799`4.907707129196356 + 6.4435486816167315331`5.064562237417441*I",
							"11.0195106649867710405`5.130051190457399 + 3.4641016151377545873`4.627479503921387*I",
							"11.0195106649867710405`5.130051190457399 - 3.4641016151377545873`4.627479503921387*I",
							"4.4902446675066144799`5.147999862677492 - 0.4846545486587776407`4.181162149999939*I",
							"4.4902446675066144799`5.147999862677492 + 0.4846545486587776407`4.181162149999939*I",
							"4.4902446675066144799`5.147999862677492 + 0.4846545486587776407`4.181162149999939*I",
							"4.4902446675066144799`5.147999862677492 - 0.4846545486587776407`4.181162149999939*I",
							"4.4902446675066144777`4.907707129196356 + 6.4435486816167315366`5.064562237417441*I",
							"4.4902446675066144777`4.907707129196356 - 6.4435486816167315366`5.064562237417441*I",
							"11.0195106649867710403`5.130051190457399 + 3.4641016151377545881`4.627479503921387*I",
							"11.0195106649867710403`5.130051190457399 - 3.4641016151377545881`4.627479503921387*I"
						],
						"Abelian":false
					},
					{
						"IdealName":"abJ8_16_2",
						"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":3.9945e-2,
							"TimingZeroDimVars":4.0989000000000005e-2,
							"TimingmagmaVCompNormalize":4.2116e-2,
							"TimingNumberOfSols":1.8212e-2,
							"TimingIsRadical":1.156e-3,
							"TimingArcColoring":3.6954e-2,
							"TimingObstruction":3.92e-4,
							"TimingComplexVolumeN":0.4097,
							"TimingaCuspShapeN":4.007e-3,
							"TiminguValues":0.515187,
							"TiminguPolysN":7.500000000000002e-5,
							"TiminguPolys":0.657803,
							"TimingaCuspShape":9.202e-2,
							"TimingRepresentationsN":1.9592000000000002e-2,
							"TiminguValues_ij":7.517800000000001e-2,
							"TiminguPoly_ij":0.100089,
							"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"
						],
						"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 - 2*u^2 + 2*u^4 + u^5)*(1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12)",
				"(1 + 3*u + 2*u^2 + u^5)*(1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12)",
				"(-1 - u - 2*u^2 + 2*u^4 + u^5)*(1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12)",
				"(1 + 3*u + 2*u^2 + u^5)*(1 - 4*u + 12*u^2 - 22*u^3 + 34*u^4 - 39*u^5 + 41*u^6 - 31*u^7 + 20*u^8 - 9*u^9 + 6*u^10 - 3*u^11 + u^12)",
				"(-1 - u - 2*u^2 + 2*u^4 + u^5)*(1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12)",
				"(1 - u + u^2)^6*(8 + 24*u + 30*u^2 + 19*u^3 + 7*u^4 + u^5)",
				"(1 - u^2 + u^3)^4*(4 + 14*u + 23*u^2 + 18*u^3 + 7*u^4 + u^5)",
				"(-1 - u - 2*u^2 + 2*u^4 + u^5)*(1 - 4*u + 8*u^2 + 6*u^3 - 16*u^4 + u^5 + 7*u^6 - 7*u^7 + 4*u^8 + 5*u^9 - 4*u^10 - u^11 + u^12)"
			],
			"RileyPolyC":[
				"(-1 - 3*y + 6*y^3 - 4*y^4 + y^5)*(1 + 80*y^2 - 270*y^3 + 308*y^4 - 45*y^5 - 195*y^6 + 153*y^7 - 57*y^9 + 34*y^10 - 9*y^11 + y^12)",
				"(-1 + 5*y - 4*y^2 + 6*y^3 + y^5)*(1 + 8*y + 36*y^2 + 102*y^3 + 216*y^4 + 323*y^5 + 349*y^6 + 277*y^7 + 168*y^8 + 55*y^9 + 22*y^10 + 3*y^11 + y^12)",
				"(-1 - 3*y + 6*y^3 - 4*y^4 + y^5)*(1 + 80*y^2 - 270*y^3 + 308*y^4 - 45*y^5 - 195*y^6 + 153*y^7 - 57*y^9 + 34*y^10 - 9*y^11 + y^12)",
				"(-1 + 5*y - 4*y^2 + 6*y^3 + y^5)*(1 + 8*y + 36*y^2 + 102*y^3 + 216*y^4 + 323*y^5 + 349*y^6 + 277*y^7 + 168*y^8 + 55*y^9 + 22*y^10 + 3*y^11 + y^12)",
				"(-1 - 3*y + 6*y^3 - 4*y^4 + y^5)*(1 + 80*y^2 - 270*y^3 + 308*y^4 - 45*y^5 - 195*y^6 + 153*y^7 - 57*y^9 + 34*y^10 - 9*y^11 + y^12)",
				"(1 + y + y^2)^6*(-64 + 96*y - 100*y^2 - 11*y^3 - 11*y^4 + y^5)",
				"(-1 + 2*y - y^2 + y^3)^4*(-16 + 12*y - 81*y^2 + 30*y^3 - 13*y^4 + y^5)",
				"(-1 - 3*y + 6*y^3 - 4*y^4 + y^5)*(1 + 80*y^2 - 270*y^3 + 308*y^4 - 45*y^5 - 195*y^6 + 153*y^7 - 57*y^9 + 34*y^10 - 9*y^11 + y^12)"
			]
		},
		"GeometricRepresentation":[
			1.0579e1,
			[
				"J8_16_0",
				1,
				"{4, 5}"
			]
		]
	}
}