Magma V2.19-8 Wed Aug 21 2013 01:00:03 on localhost [Seed = 1932879936] Type ? for help. Type -D to quit. Loading file "L13n8186__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8186 geometric_solution 11.86661207 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -6 6 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949026167347 0.648088125255 0 2 6 5 0132 0321 0132 0132 1 1 0 2 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 0 0 0 0 0 -5 5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689360160956 0.425097295917 7 0 8 1 0132 0132 0132 0321 1 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562809832877 0.981454371958 7 5 8 0 2031 0132 3012 0132 1 1 0 2 0 0 0 0 -1 0 0 1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -6 0 0 6 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949026167347 0.648088125255 9 7 0 6 0132 0321 0132 0132 1 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 1 -1 0 1 0 -6 5 -1 -2 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.117985006457 1.037308122892 7 3 1 10 1023 0132 0132 0132 1 1 2 0 0 0 0 0 1 0 -1 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 5 0 -5 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 0.689360160956 0.425097295917 9 10 4 1 3120 1023 0132 0132 1 1 2 2 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 -5 5 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227567331059 0.666732493407 2 5 3 4 0132 1023 1302 0321 1 2 2 0 0 -1 1 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 -5 6 -1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560307426067 0.766756680136 11 3 10 2 0132 1230 1230 0132 1 2 2 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 -3 0 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.108250215721 0.951721167330 4 12 11 6 0132 0132 1230 3120 2 1 2 2 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 0 0 0 3 0 -3 -1 0 1 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719851890903 0.530448616934 6 11 5 8 1023 2103 0132 3012 1 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 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 0.227567331059 0.666732493407 8 10 12 9 0132 2103 3120 3012 2 2 1 2 0 0 0 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 0 1 0 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.099692758390 0.663423597497 12 9 11 12 3201 0132 3120 2310 2 2 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 -3 3 0 1 0 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647206585450 0.449290554586 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : negation(d['c_1001_8']), 'c_1100_3' : negation(d['c_1001_8']), 'c_1100_2' : d['c_0110_10'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_1001_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_0110_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], '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' : 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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0011_12']), '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_12, c_0101_3, c_0101_6, c_0110_10, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 21637/1664*c_1001_8^4 + 202815/6656*c_1001_8^3 - 135827/6656*c_1001_8^2 + 5013/416*c_1001_8 - 25049/3328, c_0011_0 - 1, c_0011_10 + 77/8*c_1001_8^4 - 17*c_1001_8^3 + 59/8*c_1001_8^2 - 31/4*c_1001_8 + 1/4, c_0011_11 - 1, c_0011_12 + 2*c_1001_8, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + c_1001_8 - 1, c_0101_12 - 11/8*c_1001_8^4 - 3/2*c_1001_8^3 + 39/8*c_1001_8^2 - 7/4*c_1001_8 + 5/4, c_0101_3 + c_1001_8 + 1, c_0101_6 - 11/16*c_1001_8^4 + 2*c_1001_8^3 - 45/16*c_1001_8^2 + 13/8*c_1001_8 - 7/8, c_0110_10 - c_1001_8 + 1, c_1001_0 + 1, c_1001_8^5 - 21/11*c_1001_8^4 + 13/11*c_1001_8^3 - 13/11*c_1001_8^2 + 4/11*c_1001_8 - 2/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB