Magma V2.19-8 Tue Aug 20 2013 23:44:20 on localhost [Seed = 3364793649] Type ? for help. Type -D to quit. Loading file "L14n265__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n265 geometric_solution 10.66436111 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 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 0.515167754799 1.076046422512 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 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 0.348064430952 0.772501188681 8 0 7 6 0132 0132 3012 2031 1 1 0 1 0 0 0 0 0 0 0 0 0 -2 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 -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 0.638040281411 0.756036177833 5 8 9 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734171222733 1.012316044054 7 10 0 8 2310 0132 0132 1023 1 1 1 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 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 -0.012316044054 0.734171222733 3 1 9 10 0132 0132 0213 0132 1 1 1 0 0 0 0 0 0 0 -1 1 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 0 0 -2 2 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530518369228 0.647347338744 9 2 1 10 0213 1302 0132 2310 1 1 1 0 0 0 0 0 0 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 -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 0.348064430952 0.772501188681 10 2 4 1 3120 1230 3201 0132 1 1 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 0 0 0 0 0 0 -1 0 1 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 0.107521912183 1.108688839089 2 3 9 4 0132 0132 1023 1023 1 1 1 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 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 0.242666566117 0.924110853464 6 5 8 3 0213 0213 1023 0132 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242666566117 0.924110853464 6 4 5 7 3201 0132 0132 3120 1 1 1 1 0 0 0 0 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 0 0 0 1 0 -2 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.022843062014 1.361696880628 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : negation(d['c_1100_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_7']), '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 675261/263662*c_1100_0^7 + 696931/263662*c_1100_0^6 + 117501/527324*c_1100_0^5 + 154995/75332*c_1100_0^4 - 1061929/131831*c_1100_0^3 + 5856369/263662*c_1100_0^2 - 17158221/2109296*c_1100_0 - 6256479/1054648, c_0011_0 - 1, c_0011_10 - 496256/131831*c_1100_0^7 - 343832/131831*c_1100_0^6 - 621384/131831*c_1100_0^5 - 75896/18833*c_1100_0^4 - 2237904/131831*c_1100_0^3 + 772886/131831*c_1100_0^2 - 156638/131831*c_1100_0 - 291493/131831, c_0011_6 - 17720/131831*c_1100_0^7 + 11440/131831*c_1100_0^6 + 8160/131831*c_1100_0^5 - 784/18833*c_1100_0^4 - 83140/131831*c_1100_0^3 + 78488/131831*c_1100_0^2 - 92986/131831*c_1100_0 - 83165/131831, c_0011_7 - 496256/131831*c_1100_0^7 - 343832/131831*c_1100_0^6 - 621384/131831*c_1100_0^5 - 75896/18833*c_1100_0^4 - 2237904/131831*c_1100_0^3 + 772886/131831*c_1100_0^2 - 156638/131831*c_1100_0 - 291493/131831, c_0011_9 - 6816/18833*c_1100_0^7 + 3040/18833*c_1100_0^6 + 588/18833*c_1100_0^5 + 8024/18833*c_1100_0^4 - 12084/18833*c_1100_0^3 + 49304/18833*c_1100_0^2 + 445/18833*c_1100_0 - 1423/18833, c_0101_1 - 1, c_0101_10 - c_1100_0, c_0101_2 - 95672/18833*c_1100_0^7 - 53528/18833*c_1100_0^6 - 115620/18833*c_1100_0^5 - 97276/18833*c_1100_0^4 - 438848/18833*c_1100_0^3 + 182940/18833*c_1100_0^2 - 91345/18833*c_1100_0 - 57264/18833, c_0101_7 - 395912/131831*c_1100_0^7 - 361000/131831*c_1100_0^6 - 578316/131831*c_1100_0^5 - 76932/18833*c_1100_0^4 - 1936132/131831*c_1100_0^3 + 134044/131831*c_1100_0^2 - 132884/131831*c_1100_0 - 231220/131831, c_0101_8 + 6264/3563*c_1100_0^7 + 2712/3563*c_1100_0^6 + 6220/3563*c_1100_0^5 + 620/509*c_1100_0^4 + 26784/3563*c_1100_0^3 - 18628/3563*c_1100_0^2 + 2145/3563*c_1100_0 + 3195/3563, c_1100_0^8 + c_1100_0^7 + 3/2*c_1100_0^6 + 3/2*c_1100_0^5 + 5*c_1100_0^4 + 1/8*c_1100_0^2 + 3/4*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB