Magma V2.19-8 Wed Aug 21 2013 01:07:56 on localhost [Seed = 1360480380] Type ? for help. Type -D to quit. Loading file "L14n36486__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n36486 geometric_solution 12.68808934 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.391447789474 0.623612424874 0 4 6 5 0132 3120 0132 0132 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277936572773 1.150313622594 7 0 9 8 0132 0132 0132 0132 0 1 1 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 0 1 1 0 -1 0 -3 0 0 3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568671289497 1.190577906052 7 5 10 0 2031 0321 0132 0132 0 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 0 0 0 0 1 -1 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823837375170 0.796361108620 11 1 0 7 0132 3120 0132 2031 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 1 1 -2 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 0.806263039524 1.043920371111 11 8 1 3 2103 0132 0132 0321 0 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 1 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264816887498 1.197131742973 11 12 10 1 3120 0132 0213 0132 0 1 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268988634288 0.742477644461 2 4 3 12 0132 1302 1302 1230 1 1 0 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 -2 2 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132598317819 0.913963536517 10 5 2 12 0213 0132 0132 0213 0 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372505156491 0.606566907853 11 12 10 2 1023 3201 0321 0132 0 1 0 1 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 0 0 0 2 0 -3 1 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578564309253 0.893848289047 8 6 9 3 0213 0213 0321 0132 0 1 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823837375170 0.796361108620 4 9 5 6 0132 1023 2103 3120 1 1 0 1 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 -2 2 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 0.546320762157 0.575647091896 7 6 9 8 3012 0132 2310 0213 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 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 0.489667828654 0.788433594863 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : 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_0'], 'c_0101_10' : negation(d['c_0011_5']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_11'], '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' : 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' : 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_11'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : 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_0011_5, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 841154143/370301440*c_1001_3^8 - 2141694941/370301440*c_1001_3^7 + 1813645127/23143840*c_1001_3^6 - 17424384381/185150720*c_1001_3^5 + 60679274417/370301440*c_1001_3^4 - 49444174269/370301440*c_1001_3^3 + 62216246/723245*c_1001_3^2 - 788929327/5785960*c_1001_3 - 1327027849/46287680, c_0011_0 - 1, c_0011_10 - 10202/144649*c_1001_3^8 + 212155/1157192*c_1001_3^7 - 2831101/1157192*c_1001_3^6 + 1761831/578596*c_1001_3^5 - 3104137/578596*c_1001_3^4 + 4677225/1157192*c_1001_3^3 - 4063973/1157192*c_1001_3^2 + 1942121/578596*c_1001_3 - 165711/289298, c_0011_11 + 3149/578596*c_1001_3^8 - 4482/144649*c_1001_3^7 + 124487/578596*c_1001_3^6 - 221865/289298*c_1001_3^5 + 319597/578596*c_1001_3^4 - 199167/289298*c_1001_3^3 + 463891/578596*c_1001_3^2 - 107752/144649*c_1001_3 + 113280/144649, c_0011_12 - 116105/4628768*c_1001_3^8 + 419809/4628768*c_1001_3^7 - 2192579/2314384*c_1001_3^6 + 4577493/2314384*c_1001_3^5 - 15357875/4628768*c_1001_3^4 + 14963965/4628768*c_1001_3^3 - 4601599/2314384*c_1001_3^2 + 3033081/1157192*c_1001_3 - 123865/289298, c_0011_5 + 49907/4628768*c_1001_3^8 - 215919/4628768*c_1001_3^7 + 1000271/2314384*c_1001_3^6 - 2639611/2314384*c_1001_3^5 + 9016185/4628768*c_1001_3^4 - 11681739/4628768*c_1001_3^3 + 3936835/2314384*c_1001_3^2 - 1580057/1157192*c_1001_3 + 86886/144649, c_0101_0 - 1, c_0101_1 + 1, c_0101_12 - 3149/578596*c_1001_3^8 + 4482/144649*c_1001_3^7 - 124487/578596*c_1001_3^6 + 221865/289298*c_1001_3^5 - 319597/578596*c_1001_3^4 + 199167/289298*c_1001_3^3 - 463891/578596*c_1001_3^2 + 107752/144649*c_1001_3 - 113280/144649, c_0101_3 + 49907/4628768*c_1001_3^8 - 215919/4628768*c_1001_3^7 + 1000271/2314384*c_1001_3^6 - 2639611/2314384*c_1001_3^5 + 9016185/4628768*c_1001_3^4 - 11681739/4628768*c_1001_3^3 + 3936835/2314384*c_1001_3^2 - 1580057/1157192*c_1001_3 + 86886/144649, c_1001_0 - c_1001_3, c_1001_1 - 3149/578596*c_1001_3^8 + 4482/144649*c_1001_3^7 - 124487/578596*c_1001_3^6 + 221865/289298*c_1001_3^5 - 319597/578596*c_1001_3^4 + 199167/289298*c_1001_3^3 - 463891/578596*c_1001_3^2 - 36897/144649*c_1001_3 - 113280/144649, c_1001_10 + 31369/1157192*c_1001_3^8 - 106703/1157192*c_1001_3^7 + 300249/289298*c_1001_3^6 - 1158675/578596*c_1001_3^5 + 5005927/1157192*c_1001_3^4 - 4634871/1157192*c_1001_3^3 + 1119821/289298*c_1001_3^2 - 479409/144649*c_1001_3 + 196331/144649, c_1001_3^9 - 3*c_1001_3^8 + 36*c_1001_3^7 - 58*c_1001_3^6 + 103*c_1001_3^5 - 107*c_1001_3^4 + 92*c_1001_3^3 - 100*c_1001_3^2 + 32*c_1001_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB