Magma V2.19-8 Wed Aug 21 2013 01:13:53 on localhost [Seed = 1443907822] Type ? for help. Type -D to quit. Loading file "L14n746__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n746 geometric_solution 11.86892777 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 -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 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 -0.518121153348 0.828417912357 0 5 6 4 0132 0132 0132 3120 0 1 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 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 0.417741461470 0.420756383518 7 0 8 8 0132 0132 0213 0132 1 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 -1 1 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 0.128274770364 0.815323057677 9 10 11 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164517077060 0.841512767036 1 10 0 11 3120 0213 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 2 -2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490430507246 1.369095940645 7 1 7 8 1023 0132 2031 1023 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 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 0.811694626039 1.196881606877 10 8 9 1 0213 1023 0213 0132 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 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 1.128274770364 0.815323057677 2 5 12 5 0132 1023 0132 1302 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 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 0.811694626039 1.196881606877 6 2 2 5 1023 0213 0132 1023 1 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 -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 0.611884471978 0.572294458939 3 6 12 10 0132 0213 1302 1023 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304126134530 0.919908435674 6 3 4 9 0213 0132 0213 1023 1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029625933448 0.993050842458 12 12 4 3 1302 3201 0132 0132 1 1 1 0 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 -1 1 0 1 0 -1 0 -12 11 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325651300132 0.753369089283 9 11 11 7 2031 2031 2310 0132 1 0 0 1 0 -1 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 0 0 0 0 12 -11 -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 0.659631558774 0.736927389040 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0101_3'], 's_3_11' : 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_0011_4'], 's_2_0' : d['1'], 's_2_1' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_1' : negation(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_0110_5']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0110_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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_4'], '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_3'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], '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_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_12']), 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : d['c_0110_5']})} 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_0011_4, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0110_5, c_0110_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 1422917045/210588*c_1100_0^2 + 1864997997/140392*c_1100_0 + 7021728715/842352, c_0011_0 - 1, c_0011_10 - 242/327*c_1100_0^2 - 194/109*c_1100_0 - 289/327, c_0011_11 - 242/981*c_1100_0^2 + 617/981*c_1100_0 + 256/981, c_0011_12 + 1, c_0011_4 + 4598/8175*c_1100_0^2 + 15854/8175*c_1100_0 + 4519/2725, c_0101_1 + 1210/981*c_1100_0^2 + 512/981*c_1100_0 - 626/981, c_0101_12 + 1573/981*c_1100_0^2 + 1385/981*c_1100_0 + 1279/981, c_0101_3 + 1573/981*c_1100_0^2 + 2693/981*c_1100_0 + 625/981, c_0101_7 - 34364/24525*c_1100_0^2 - 49072/24525*c_1100_0 - 9101/24525, c_0110_5 + 1210/981*c_1100_0^2 + 512/981*c_1100_0 - 626/981, c_0110_8 - 6776/24525*c_1100_0^2 + 46052/24525*c_1100_0 + 47716/24525, c_1001_0 + 968/981*c_1100_0^2 + 1129/981*c_1100_0 - 370/981, c_1100_0^3 + 258/121*c_1100_0^2 + 189/121*c_1100_0 + 25/121 ], 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_0011_4, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0110_5, c_0110_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 267/9625*c_1100_0^2 + 1841/11000*c_1100_0 - 124777/154000, c_0011_0 - 1, c_0011_10 - 6/55*c_1100_0^2 + 10/11*c_1100_0 - 89/55, c_0011_11 - 2/55*c_1100_0^2 + 7/11*c_1100_0 - 48/55, c_0011_12 + 1, c_0011_4 + 34/55*c_1100_0^2 - 42/11*c_1100_0 + 981/55, c_0101_1 + 2/55*c_1100_0^2 + 4/11*c_1100_0 - 62/55, c_0101_12 + 3/55*c_1100_0^2 - 5/11*c_1100_0 + 17/55, c_0101_3 + 7/55*c_1100_0^2 + 3/11*c_1100_0 + 3/55, c_0101_7 - 28/55*c_1100_0^2 + 32/11*c_1100_0 - 727/55, c_0110_5 - 2/55*c_1100_0^2 - 4/11*c_1100_0 + 62/55, c_0110_8 + 8/11*c_1100_0^2 - 52/11*c_1100_0 + 236/11, c_1001_0 - 4/55*c_1100_0^2 + 3/11*c_1100_0 + 14/55, c_1100_0^3 - 6*c_1100_0^2 + 29*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB