Magma V2.19-8 Tue Aug 20 2013 23:48:37 on localhost [Seed = 374373558] Type ? for help. Type -D to quit. Loading file "L11n96__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n96 geometric_solution 11.67995752 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 0 1 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 0.543472469968 0.911108039022 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -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 0.845343439069 0.490879102679 6 0 8 8 3201 0132 2103 0132 0 1 0 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 0 1 0 -1 -1 0 1 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 0.767803688494 0.719217390548 9 10 10 0 0132 0132 1302 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190891699279 0.980220223396 4 4 0 7 1302 2031 0132 2310 0 0 0 0 0 1 0 -1 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 1 -1 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 0.098200269236 0.885512334334 8 1 9 9 3120 0132 1230 3201 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 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618705770137 0.676244809027 11 11 1 2 0132 1230 0132 2310 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618705770137 0.676244809027 4 10 8 1 3201 0213 0213 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 0.543472469968 0.911108039022 2 7 2 5 2103 0213 0132 3120 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 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306282658918 0.649819196375 3 5 11 5 0132 2310 0132 3012 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 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 0 0 0 0 0.263536580473 0.804953806044 3 3 7 11 2031 0132 0213 2031 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808585994533 0.982902242001 6 10 6 9 0132 1302 3012 0132 0 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 0 0 0 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 0.263536580473 0.804953806044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : 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_10' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : d['c_1001_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1190706873779338160246487/14078058824150521804924138*c_1001_5^9 + 20483640141609936200049059/14078058824150521804924138*c_1001_5^7 - 480211360341331779887420101/42234176472451565414772414*c_1001_5^5 + 2157688281994838777089476427/42234176472451565414772414*c_1001_5^3 - 1564357739105193776108955175/21117088236225782707386207*c_1001_5, c_0011_0 - 1, c_0011_10 - 24796450323189/37214730769599589*c_1001_5^9 - 185914558935/148265859639839*c_1001_5^8 - 1269837365285135/111644192308798767*c_1001_5^7 - 9864909141511/444797578919517*c_1001_5^6 + 3584370659889353/37214730769599589*c_1001_5^5 + 24331338008198/148265859639839*c_1001_5^4 - 35577846951508448/111644192308798767*c_1001_5^3 - 220670785557457/444797578919517*c_1001_5^2 + 32376183249926912/111644192308798767*c_1001_5 + 212082995273557/444797578919517, c_0011_11 + 13478023596456/37214730769599589*c_1001_5^9 + 62669446632/148265859639839*c_1001_5^8 + 753013792185794/111644192308798767*c_1001_5^7 + 1185448882699/148265859639839*c_1001_5^6 - 1348853334776108/37214730769599589*c_1001_5^5 - 15145943564194/444797578919517*c_1001_5^4 + 24727089976518044/111644192308798767*c_1001_5^3 + 150187404875968/444797578919517*c_1001_5^2 - 61637970201302909/111644192308798767*c_1001_5 + 87617671114801/444797578919517, c_0011_4 - 41891812724124/37214730769599589*c_1001_5^9 - 2507707146029236/111644192308798767*c_1001_5^7 + 10187130200061485/111644192308798767*c_1001_5^5 - 15146924473216794/37214730769599589*c_1001_5^3 + 17095620879093131/111644192308798767*c_1001_5, c_0011_7 - 2142586143423/37214730769599589*c_1001_5^9 - 64603155239897/37214730769599589*c_1001_5^7 + 32690846766547/37214730769599589*c_1001_5^5 + 4223322650754370/37214730769599589*c_1001_5^3 - 6048637958037148/37214730769599589*c_1001_5, c_0011_8 + 18065943888111/37214730769599589*c_1001_5^9 + 914520845875619/111644192308798767*c_1001_5^7 - 2450266573949457/37214730769599589*c_1001_5^5 + 36487452440144801/111644192308798767*c_1001_5^3 - 257937508271249/111644192308798767*c_1001_5, c_0101_0 - 13478023596456/37214730769599589*c_1001_5^9 - 62669446632/148265859639839*c_1001_5^8 - 753013792185794/111644192308798767*c_1001_5^7 - 1185448882699/148265859639839*c_1001_5^6 + 1348853334776108/37214730769599589*c_1001_5^5 + 15145943564194/444797578919517*c_1001_5^4 - 24727089976518044/111644192308798767*c_1001_5^3 - 150187404875968/444797578919517*c_1001_5^2 - 50006222107495858/111644192308798767*c_1001_5 - 87617671114801/444797578919517, c_0101_11 + 1, c_0101_5 - 4019517/2435626943*c_1001_5^9 - 240252383/7306880829*c_1001_5^7 + 1020030803/7306880829*c_1001_5^5 - 3481026571/7306880829*c_1001_5^3 - 846907921/2435626943*c_1001_5, c_1001_0 - 43349554658880/37214730769599589*c_1001_5^9 - 2756372915501090/111644192308798767*c_1001_5^7 + 8234580387137998/111644192308798767*c_1001_5^5 - 5566758969915544/37214730769599589*c_1001_5^3 - 39078476536923698/111644192308798767*c_1001_5, c_1001_1 - 13478023596456/37214730769599589*c_1001_5^9 + 62669446632/148265859639839*c_1001_5^8 - 753013792185794/111644192308798767*c_1001_5^7 + 1185448882699/148265859639839*c_1001_5^6 + 1348853334776108/37214730769599589*c_1001_5^5 - 15145943564194/444797578919517*c_1001_5^4 - 24727089976518044/111644192308798767*c_1001_5^3 + 150187404875968/444797578919517*c_1001_5^2 - 50006222107495858/111644192308798767*c_1001_5 + 87617671114801/444797578919517, c_1001_5^10 + 1576/81*c_1001_5^8 - 7196/81*c_1001_5^6 + 35093/81*c_1001_5^4 - 11578/81*c_1001_5^2 + 63001/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB