Magma V2.19-8 Wed Aug 21 2013 00:56:16 on localhost [Seed = 4055362505] Type ? for help. Type -D to quit. Loading file "L13n144__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n144 geometric_solution 12.55175922 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 1 1 1 1 0 0 0 0 -1 0 1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 8 0 -8 0 -7 0 0 7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727136084491 0.934099289461 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -8 0 8 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623060309876 0.449550220133 6 0 6 0 0132 0132 0321 0213 1 1 1 1 0 0 0 0 0 0 -1 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 7 -7 -7 7 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727136084491 0.934099289461 5 7 4 0 0132 0132 1302 0132 1 1 1 1 0 0 0 0 0 0 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -8 8 0 7 0 -7 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478866407886 0.432180586663 3 1 7 8 2031 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -7 7 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150238165397 0.849568043543 3 8 1 6 0132 0132 0132 0321 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055318701959 0.821690102573 2 5 2 1 0132 0321 0321 0132 1 1 1 1 0 0 0 0 0 0 -1 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 8 -8 -8 8 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727136084491 0.934099289461 9 3 4 10 0132 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 -1 0 1 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227136084491 0.934099289461 11 5 4 12 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227136084491 0.934099289461 7 11 11 12 0132 0132 0321 2031 0 1 1 1 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496539353211 1.003837405595 12 11 7 12 0321 1302 0132 1023 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496539353211 1.003837405595 8 9 9 10 0132 0132 0321 2031 0 1 1 1 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496539353211 1.003837405595 10 9 8 10 0321 1302 0132 1023 1 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496539353211 1.003837405595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_1100_10']), 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_1100_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0101_8, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 192999/175450*c_1100_10^3 - 363721/175450*c_1100_10^2 + 278669/175450*c_1100_10 - 182309/87725, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + c_1100_10, c_0011_12 - 1, c_0101_0 + 3/29*c_1100_10^3 + 5/29*c_1100_10^2 + 6/29*c_1100_10 - 37/29, c_0101_1 - 3/29*c_1100_10^3 - 5/29*c_1100_10^2 + 23/29*c_1100_10 + 8/29, c_0101_10 - 54/29*c_1100_10^3 + 84/29*c_1100_10^2 - 50/29*c_1100_10 + 86/29, c_0101_4 + 24/29*c_1100_10^3 - 47/29*c_1100_10^2 + 19/29*c_1100_10 - 35/29, c_0101_7 - 54/29*c_1100_10^3 + 84/29*c_1100_10^2 - 21/29*c_1100_10 + 86/29, c_0101_8 + 54/29*c_1100_10^3 - 84/29*c_1100_10^2 + 21/29*c_1100_10 - 86/29, c_1001_1 + 24/29*c_1100_10^3 - 47/29*c_1100_10^2 + 19/29*c_1100_10 - 35/29, c_1001_2 + 27/29*c_1100_10^3 - 42/29*c_1100_10^2 + 25/29*c_1100_10 - 72/29, c_1100_10^4 - 10/3*c_1100_10^3 + 10/3*c_1100_10^2 - 3*c_1100_10 + 11/3 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0101_8, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 44*c_1100_10^4 + 172*c_1100_10^3 - 311*c_1100_10^2 + 285*c_1100_10 - 247/2, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + c_1100_10, c_0011_12 - 1, c_0101_0 + 2*c_1100_10^4 - 5*c_1100_10^3 + 6*c_1100_10^2 - 3*c_1100_10, c_0101_1 + 2*c_1100_10^3 - 3*c_1100_10^2 + 2*c_1100_10 + 1, c_0101_10 - 2*c_1100_10^3 + 4*c_1100_10^2 - 4*c_1100_10, c_0101_4 + 2*c_1100_10^4 - 5*c_1100_10^3 + 5*c_1100_10^2 - 2*c_1100_10, c_0101_7 - 2*c_1100_10^3 + 4*c_1100_10^2 - 3*c_1100_10, c_0101_8 + 2*c_1100_10^3 - 4*c_1100_10^2 + 3*c_1100_10, c_1001_1 + 2*c_1100_10^4 - 5*c_1100_10^3 + 5*c_1100_10^2 - 2*c_1100_10, c_1001_2 - 2*c_1100_10^4 + 5*c_1100_10^3 - 5*c_1100_10^2 + c_1100_10 + 1, c_1100_10^5 - 7/2*c_1100_10^4 + 11/2*c_1100_10^3 - 4*c_1100_10^2 + c_1100_10 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0101_8, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10479061721961909/5948080240891250*c_1100_10^7 + 95042730747923467/5948080240891250*c_1100_10^6 - 338298461701986747/2974040120445625*c_1100_10^5 + 780003232263058028/2974040120445625*c_1100_10^4 - 174157043504191247/540734567353750*c_1100_10^3 + 20044193336392937/84972574869875*c_1100_10^2 - 9562270584778232/84972574869875*c_1100_10 - 297688427436037447/5948080240891250, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + c_1100_10, c_0011_12 + 1, c_0101_0 - 15847552/802574497*c_1100_10^7 + 134114826/802574497*c_1100_10^6 - 935114421/802574497*c_1100_10^5 + 1730363941/802574497*c_1100_10^4 - 1391507463/802574497*c_1100_10^3 + 96432688/802574497*c_1100_10^2 + 512499956/802574497*c_1100_10 - 669231630/802574497, c_0101_1 - 20092153/802574497*c_1100_10^7 + 186015400/802574497*c_1100_10^6 - 1332615367/802574497*c_1100_10^5 + 3249652925/802574497*c_1100_10^4 - 4325058836/802574497*c_1100_10^3 + 3628923744/802574497*c_1100_10^2 - 2091464490/802574497*c_1100_10 + 197163504/802574497, c_0101_10 + 5329104/802574497*c_1100_10^7 - 45862494/802574497*c_1100_10^6 + 305986968/802574497*c_1100_10^5 - 509193660/802574497*c_1100_10^4 - 267324736/802574497*c_1100_10^3 + 1004749874/802574497*c_1100_10^2 - 1691944434/802574497*c_1100_10 + 545242322/802574497, c_0101_4 + 1603989/802574497*c_1100_10^7 - 4297086/802574497*c_1100_10^6 + 17036669/802574497*c_1100_10^5 + 360376573/802574497*c_1100_10^4 - 788597277/802574497*c_1100_10^3 + 605713026/802574497*c_1100_10^2 - 650679798/802574497*c_1100_10 + 482841109/802574497, c_0101_7 - 5329104/802574497*c_1100_10^7 + 45862494/802574497*c_1100_10^6 - 305986968/802574497*c_1100_10^5 + 509193660/802574497*c_1100_10^4 + 267324736/802574497*c_1100_10^3 - 1004749874/802574497*c_1100_10^2 + 889369937/802574497*c_1100_10 - 545242322/802574497, c_0101_8 + 5329104/802574497*c_1100_10^7 - 45862494/802574497*c_1100_10^6 + 305986968/802574497*c_1100_10^5 - 509193660/802574497*c_1100_10^4 - 267324736/802574497*c_1100_10^3 + 1004749874/802574497*c_1100_10^2 - 889369937/802574497*c_1100_10 + 545242322/802574497, c_1001_1 + 1603989/802574497*c_1100_10^7 - 4297086/802574497*c_1100_10^6 + 17036669/802574497*c_1100_10^5 + 360376573/802574497*c_1100_10^4 - 788597277/802574497*c_1100_10^3 + 605713026/802574497*c_1100_10^2 - 650679798/802574497*c_1100_10 + 482841109/802574497, c_1001_2 - 17971999/802574497*c_1100_10^7 + 167055411/802574497*c_1100_10^6 - 1193877796/802574497*c_1100_10^5 + 2903539613/802574497*c_1100_10^4 - 3670866821/802574497*c_1100_10^3 + 2526602019/802574497*c_1100_10^2 - 1309021095/802574497*c_1100_10 - 489468146/802574497, c_1100_10^8 - 9*c_1100_10^7 + 64*c_1100_10^6 - 145*c_1100_10^5 + 177*c_1100_10^4 - 133*c_1100_10^3 + 70*c_1100_10^2 + 23*c_1100_10 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB