Magma V2.19-8 Tue Aug 20 2013 23:58:42 on localhost [Seed = 2378949918] Type ? for help. Type -D to quit. Loading file "L14n40952__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40952 geometric_solution 11.51710111 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 1 -1 -1 1 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 0 0 0 0 9 -9 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981206330480 0.686775000863 0 5 2 6 0132 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 -9 -1 0 10 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583909414422 0.318333181178 7 0 8 1 0132 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 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 0 9 0 -9 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679792880691 0.719744744172 6 5 8 0 0132 0321 2103 0132 2 0 2 1 0 0 0 0 2 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 -1 0 1 0 -10 10 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607732608972 0.613503062805 9 10 0 11 0132 0132 0132 0132 2 0 2 2 0 0 0 0 1 0 1 -2 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 -1 0 0 1 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749161483235 0.813598494263 9 1 11 3 1023 0132 0213 0321 2 1 2 2 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 -1 1 10 0 0 -10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679792880691 0.719744744172 3 10 1 11 0132 0213 0132 3120 2 0 1 2 0 0 0 0 -2 0 0 2 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 0 0 1 0 0 -1 -2 1 0 1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.836426442957 0.952940999249 2 10 9 11 0132 1023 0132 2103 1 0 2 2 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 0.598454758341 0.830083365917 3 10 9 2 2103 0321 3120 0132 2 0 2 1 0 0 0 0 1 0 -1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 1 -10 0 9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669109703408 0.993534680306 4 5 8 7 0132 1023 3120 0132 1 0 2 2 0 0 0 0 -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 0 0 0 1 0 -1 0 10 -10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598454758341 0.830083365917 7 4 6 8 1023 0132 0213 0321 2 1 2 2 0 0 0 0 0 0 1 -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 0 0 0 0 0 -1 1 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749161483235 0.813598494263 6 5 4 7 3120 0213 0132 2103 2 0 1 2 0 0 0 0 -2 0 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533662626540 0.692446023268 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_1001_2'], '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' : 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']), '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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3']})} 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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 558861/851968*c_1001_2^5 + 2549289/3407872*c_1001_2^4 + 5798943/3407872*c_1001_2^3 - 1609185/1703936*c_1001_2^2 - 2378577/3407872*c_1001_2 - 356261/3407872, c_0011_0 - 1, c_0011_11 - 31/52*c_1001_2^5 + 121/208*c_1001_2^4 - 149/104*c_1001_2^3 + 137/52*c_1001_2^2 - 545/208*c_1001_2 + 41/52, c_0011_3 - 1, c_0011_8 + 41/52*c_1001_2^5 + 1/208*c_1001_2^4 + 83/104*c_1001_2^3 - 151/52*c_1001_2^2 + 231/208*c_1001_2 + 33/52, c_0101_0 - 1, c_0101_1 + 111/1040*c_1001_2^5 - 1641/4160*c_1001_2^4 + 557/2080*c_1001_2^3 - 185/208*c_1001_2^2 + 8849/4160*c_1001_2 - 697/1040, c_0101_11 + 343/1040*c_1001_2^5 - 1473/4160*c_1001_2^4 + 2021/2080*c_1001_2^3 - 433/208*c_1001_2^2 + 10217/4160*c_1001_2 - 1601/1040, c_0101_2 - 219/520*c_1001_2^5 + 989/2080*c_1001_2^4 - 593/1040*c_1001_2^3 + 261/104*c_1001_2^2 - 3461/2080*c_1001_2 - 227/520, c_0101_3 - 781/1040*c_1001_2^5 + 3451/4160*c_1001_2^4 - 3207/2080*c_1001_2^3 + 955/208*c_1001_2^2 - 17139/4160*c_1001_2 + 1147/1040, c_1001_0 - 67/104*c_1001_2^5 + 181/416*c_1001_2^4 - 265/208*c_1001_2^3 + 385/104*c_1001_2^2 - 1245/416*c_1001_2 + 149/104, c_1001_10 - c_1001_2, c_1001_2^6 - 3/4*c_1001_2^5 + 7/4*c_1001_2^4 - 11/2*c_1001_2^3 + 19/4*c_1001_2^2 - 5/4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB