Magma V2.19-8 Wed Aug 21 2013 00:50:40 on localhost [Seed = 2513666188] Type ? for help. Type -D to quit. Loading file "L10a143__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a143 geometric_solution 12.55175922 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 0 1 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 -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 0 4 6 5 0132 0132 0132 0132 1 1 2 2 0 1 0 -1 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 1 0 -1 -1 0 1 0 0 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227136084491 0.934099289461 7 0 5 5 0132 0132 2103 2031 0 1 2 2 0 0 1 -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 0 -1 0 0 0 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496539353211 1.003837405595 7 0 5 0 3120 0321 2031 0132 0 1 2 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 0 0 0 -1 1 0 -2 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 0.604111645053 0.800354567196 7 1 8 9 1023 0132 0132 0132 1 1 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150238165397 0.849568043543 2 2 1 3 2103 1302 0132 1302 1 1 0 2 0 0 1 -1 0 0 0 0 -1 1 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 0 0 0 0 1 0 -1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496539353211 1.003837405595 9 8 7 1 0132 0132 1023 0132 1 1 2 2 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 -2 2 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 0.150238165397 0.849568043543 2 4 6 3 0132 1023 1023 3120 1 1 2 2 0 0 0 0 0 0 -1 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 0 0 0 0 0 -2 2 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227136084491 0.934099289461 10 6 11 4 0132 0132 0132 0132 1 1 2 2 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 2 -2 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033125092922 0.908884379596 6 12 4 11 0132 0132 0132 0132 1 1 2 2 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 -1 2 -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 0.033125092922 0.908884379596 8 12 11 12 0132 1023 2103 3012 2 1 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 -1 1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727136084491 0.934099289461 10 12 9 8 2103 0321 0132 0132 1 1 2 2 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 -2 2 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 -0.343814597201 1.358434599729 10 9 10 11 1023 0132 1230 0321 1 2 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 1 -1 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 0.727136084491 0.934099289461 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_11'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_11'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_1100_11'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_7'], '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' : d['c_0101_8'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_8'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 's_2_9' : negation(d['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_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_5, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 285540352/1279575*c_1100_11^3 + 3484762112/1279575*c_1100_11^2 - 5863129088/1279575*c_1100_11 + 2709871616/1279575, c_0011_0 - 1, c_0011_10 + 3136/517*c_1100_11^3 - 2752/517*c_1100_11^2 + 620/517*c_1100_11 - 621/517, c_0011_11 + 2176/517*c_1100_11^3 - 2416/517*c_1100_11^2 + 388/517*c_1100_11 - 452/517, c_0011_3 + 352/47*c_1100_11^3 - 424/47*c_1100_11^2 + 154/47*c_1100_11 - 149/94, c_0011_5 - 1, c_0101_0 - 1, c_0101_10 - 224/47*c_1100_11^3 + 304/47*c_1100_11^2 - 98/47*c_1100_11 + 41/47, c_0101_3 + 464/47*c_1100_11^3 - 576/47*c_1100_11^2 + 203/47*c_1100_11 - 143/94, c_0101_7 + 352/47*c_1100_11^3 - 424/47*c_1100_11^2 + 154/47*c_1100_11 - 149/94, c_0101_8 + 256/47*c_1100_11^3 - 240/47*c_1100_11^2 + 18/47*c_1100_11 - 20/47, c_0110_5 + 352/47*c_1100_11^3 - 424/47*c_1100_11^2 + 154/47*c_1100_11 - 55/94, c_1001_1 + 224/47*c_1100_11^3 - 304/47*c_1100_11^2 + 98/47*c_1100_11 - 41/47, c_1100_11^4 - 2*c_1100_11^3 + 5/4*c_1100_11^2 - 23/64*c_1100_11 + 33/256 ], 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_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_5, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 226410/91*c_1100_11^4 + 262554/91*c_1100_11^3 - 2156187/728*c_1100_11^2 + 1882541/1456*c_1100_11 - 5194115/11648, c_0011_0 - 1, c_0011_10 + 1024/91*c_1100_11^4 - 992/91*c_1100_11^3 + 1384/91*c_1100_11^2 - 586/91*c_1100_11 + 250/91, c_0011_11 + 384/91*c_1100_11^4 - 736/91*c_1100_11^3 + 792/91*c_1100_11^2 - 288/91*c_1100_11 + 71/91, c_0011_3 + 128/91*c_1100_11^4 + 240/91*c_1100_11^3 - 100/91*c_1100_11^2 + 177/91*c_1100_11 - 37/91, c_0011_5 - 1, c_0101_0 - 1, c_0101_10 - 1152/91*c_1100_11^4 + 752/91*c_1100_11^3 - 556/91*c_1100_11^2 + 45/91*c_1100_11 - 31/91, c_0101_3 + 704/91*c_1100_11^4 - 136/91*c_1100_11^3 + 178/91*c_1100_11^2 + 309/182*c_1100_11 + 24/91, c_0101_7 + 128/91*c_1100_11^4 + 240/91*c_1100_11^3 - 100/91*c_1100_11^2 + 177/91*c_1100_11 - 37/91, c_0101_8 + 704/91*c_1100_11^4 - 864/91*c_1100_11^3 + 360/91*c_1100_11^2 - 73/91*c_1100_11 - 67/91, c_0110_5 + 128/91*c_1100_11^4 + 240/91*c_1100_11^3 - 100/91*c_1100_11^2 + 177/91*c_1100_11 + 54/91, c_1001_1 + 1152/91*c_1100_11^4 - 752/91*c_1100_11^3 + 556/91*c_1100_11^2 - 45/91*c_1100_11 + 31/91, c_1100_11^5 - c_1100_11^4 + 15/16*c_1100_11^3 - 9/32*c_1100_11^2 + 23/256*c_1100_11 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB