Magma V2.19-8 Wed Aug 21 2013 00:52:25 on localhost [Seed = 2985796626] Type ? for help. Type -D to quit. Loading file "L12a1668__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1668 geometric_solution 12.36221152 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 1 0 2 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 1 -1 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 0.650585448846 0.829638960884 0 4 6 5 0132 0132 0132 0132 2 0 0 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 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 0.214507677883 0.873687085123 7 0 4 0 0132 0132 1230 0213 1 2 0 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 -1 1 1 0 0 -1 -1 1 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650585448846 0.829638960884 7 8 8 0 2031 0132 0321 0132 1 0 0 2 0 0 0 0 0 0 1 -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 1 0 -1 -1 0 1 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 0.861422803984 0.797015933660 9 1 9 2 0132 0132 3120 3012 2 1 2 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 3 0 -3 0 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 0.650585448846 0.829638960884 9 10 1 10 3012 0132 0132 1230 2 0 1 0 0 -1 1 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 3 -3 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 0.211749910641 1.217863094241 8 11 12 1 0321 0132 0132 0132 2 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 0.175619831080 0.835666641023 2 9 3 12 0132 0132 1302 1230 0 2 2 0 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 -1 1 0 -1 0 1 0 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214507677883 0.873687085123 6 3 3 10 0321 0132 0321 3012 1 2 2 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 0 1 0 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 0.861422803984 0.797015933660 4 7 4 5 0132 0132 3120 1230 0 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 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 0.650585448846 0.829638960884 5 5 8 12 3012 0132 1230 3012 2 2 0 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 -3 -1 4 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 0.374549457075 0.578686849387 11 6 12 11 3012 0132 3012 1230 2 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 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 1.759154700092 1.146034485643 7 11 10 6 3012 1230 1230 0132 2 0 2 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 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598269396812 0.606460218367 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_3_10' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : 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' : negation(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_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_9, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 22738432/81*c_0110_10^7 + 4282624/3*c_0110_10^6 + 119633152/81*c_0110_10^5 - 209724160/81*c_0110_10^4 - 321070592/81*c_0110_10^3 + 59361152/27*c_0110_10^2 + 13667200/3*c_0110_10 + 3701728/3, c_0011_0 - 1, c_0011_10 + 32/3*c_0110_10^7 + 472/9*c_0110_10^6 + 152/3*c_0110_10^5 - 848/9*c_0110_10^4 - 1204/9*c_0110_10^3 + 664/9*c_0110_10^2 + 470/3*c_0110_10 + 54, c_0011_11 + 128/27*c_0110_10^7 + 200/9*c_0110_10^6 + 488/27*c_0110_10^5 - 1166/27*c_0110_10^4 - 1312/27*c_0110_10^3 + 37*c_0110_10^2 + 59*c_0110_10 + 18, c_0011_12 + 32/27*c_0110_10^7 + 16/3*c_0110_10^6 + 104/27*c_0110_10^5 - 284/27*c_0110_10^4 - 286/27*c_0110_10^3 + 79/9*c_0110_10^2 + 14*c_0110_10 + 9/2, c_0011_3 + 20/27*c_0110_10^7 + 32/9*c_0110_10^6 + 92/27*c_0110_10^5 - 158/27*c_0110_10^4 - 232/27*c_0110_10^3 + 4*c_0110_10^2 + 65/6*c_0110_10 + 5, c_0101_0 - 1, c_0101_10 - 44/27*c_0110_10^7 - 64/9*c_0110_10^6 - 116/27*c_0110_10^5 + 410/27*c_0110_10^4 + 340/27*c_0110_10^3 - 122/9*c_0110_10^2 - 97/6*c_0110_10 - 4, c_0101_11 + 52/9*c_0110_10^7 + 82/3*c_0110_10^6 + 208/9*c_0110_10^5 - 472/9*c_0110_10^4 - 557/9*c_0110_10^3 + 134/3*c_0110_10^2 + 443/6*c_0110_10 + 91/4, c_0101_12 + 28/3*c_0110_10^7 + 404/9*c_0110_10^6 + 40*c_0110_10^5 - 760/9*c_0110_10^4 - 962/9*c_0110_10^3 + 629/9*c_0110_10^2 + 253/2*c_0110_10 + 40, c_0101_3 - 64/27*c_0110_10^7 - 32/3*c_0110_10^6 - 208/27*c_0110_10^5 + 568/27*c_0110_10^4 + 572/27*c_0110_10^3 - 158/9*c_0110_10^2 - 27*c_0110_10 - 9, c_0101_9 - 20/27*c_0110_10^7 - 32/9*c_0110_10^6 - 92/27*c_0110_10^5 + 158/27*c_0110_10^4 + 232/27*c_0110_10^3 - 4*c_0110_10^2 - 65/6*c_0110_10 - 4, c_0110_10^8 + 6*c_0110_10^7 + 10*c_0110_10^6 - 4*c_0110_10^5 - 89/4*c_0110_10^4 - 6*c_0110_10^3 + 45/2*c_0110_10^2 + 81/4*c_0110_10 + 81/16, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB