Magma V2.19-8 Tue Aug 20 2013 23:50:43 on localhost [Seed = 3734549989] Type ? for help. Type -D to quit. Loading file "L12n734__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n734 geometric_solution 11.78878427 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 1 1 1 0 1 -1 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 0 1 1 0 -1 0 -5 5 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583642631033 0.887946080954 0 5 7 6 0132 0132 0132 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 0 0 0 -1 0 1 0 6 -6 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576147707745 0.419778571251 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 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 1 0 -1 -1 0 0 1 5 0 0 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432893150815 0.923211177194 5 8 9 0 2103 0213 0132 0132 0 1 1 1 0 -1 0 1 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 -1 1 0 6 0 -6 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614900901018 0.759822654016 11 8 0 10 0132 0132 0132 0132 0 1 1 1 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 0 -1 1 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583642631033 0.887946080954 11 1 3 6 1023 0132 2103 3120 1 1 1 1 0 0 0 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 0 0 0 0 0 0 0 -6 0 0 6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875171217285 0.955323791472 5 9 1 11 3120 1023 0132 0132 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 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875171217285 0.955323791472 10 9 8 1 1230 3120 1230 0132 1 1 1 0 0 1 -1 0 0 0 0 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 5 -5 0 0 0 1 -1 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583642631033 0.887946080954 2 4 3 7 0132 0132 0213 3012 0 1 1 1 0 -1 1 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 0 0 1 0 -6 5 -5 6 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483084430225 0.786428423767 6 7 2 3 1023 3120 0132 0132 0 1 1 1 0 1 -1 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 -1 1 0 5 0 -5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356416906885 0.795264754176 11 7 4 2 3012 3012 0132 0132 0 1 1 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 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 0.432893150815 0.923211177194 4 5 6 10 0132 1023 0132 1230 1 1 1 1 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 -6 6 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783633929443 0.651338606966 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_7']), '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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0011_11' : d['c_0011_0'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0011_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 26729905/96552*c_1100_0^5 - 12615977/96552*c_1100_0^4 + 359637/1192*c_1100_0^3 - 2486603/16092*c_1100_0^2 + 5050771/48276*c_1100_0 - 791437/96552, c_0011_0 - 1, c_0011_10 + 47213/5364*c_1100_0^5 + 1519/5364*c_1100_0^4 + 11585/1788*c_1100_0^3 - 697/447*c_1100_0^2 - 560/1341*c_1100_0 + 665/5364, c_0011_3 - 16213/1341*c_1100_0^5 + 4061/2682*c_1100_0^4 - 4597/447*c_1100_0^3 + 953/447*c_1100_0^2 - 3115/2682*c_1100_0 - 931/1341, c_0011_6 + 248/447*c_1100_0^5 - 3131/447*c_1100_0^4 - 18/149*c_1100_0^3 - 1871/298*c_1100_0^2 + 869/894*c_1100_0 - 349/447, c_0011_7 + 39029/5364*c_1100_0^5 - 19871/5364*c_1100_0^4 + 12179/1788*c_1100_0^3 - 1975/447*c_1100_0^2 + 2728/1341*c_1100_0 + 113/5364, c_0101_0 - 13175/2682*c_1100_0^5 - 2573/1341*c_1100_0^4 - 7127/894*c_1100_0^3 - 1511/894*c_1100_0^2 - 2336/1341*c_1100_0 - 1295/2682, c_0101_10 + 31/1341*c_1100_0^5 + 4805/1341*c_1100_0^4 - 1157/447*c_1100_0^3 + 805/447*c_1100_0^2 - 6317/2682*c_1100_0 - 199/2682, c_0101_2 - 14725/2682*c_1100_0^5 + 2015/1341*c_1100_0^4 - 4705/894*c_1100_0^3 + 1246/447*c_1100_0^2 - 481/1341*c_1100_0 - 842/1341, c_0101_3 + 5921/1788*c_1100_0^5 + 3193/1788*c_1100_0^4 + 725/596*c_1100_0^3 + 183/149*c_1100_0^2 - 347/447*c_1100_0 + 887/1788, c_0101_7 + 8587/1788*c_1100_0^5 + 713/1788*c_1100_0^4 + 2841/596*c_1100_0^3 + 413/298*c_1100_0^2 + 943/894*c_1100_0 + 1717/1788, c_1001_0 - 1, c_1100_0^6 + 32/31*c_1100_0^4 - 3/31*c_1100_0^3 + 8/31*c_1100_0^2 + 3/31*c_1100_0 + 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB