Magma V2.19-8 Tue Aug 20 2013 23:44:45 on localhost [Seed = 4240087366] Type ? for help. Type -D to quit. Loading file "L14n45390__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45390 geometric_solution 9.74515044 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 0321 0 1 2 2 0 1 0 -1 0 0 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 -1 0 1 0 0 -6 6 0 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508948213684 0.834275180874 0 4 6 5 0132 0132 0132 0132 1 1 2 2 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455092715926 0.816057270909 7 0 6 6 0132 0132 3012 3120 0 1 2 2 0 -1 3 -2 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 1 -2 1 -5 0 0 5 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508948213684 0.834275180874 7 0 6 0 2031 0321 3120 0132 0 1 2 1 0 1 -1 0 0 0 1 -1 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 1 0 -1 0 -5 6 -4 -1 0 5 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467094129828 0.873546913562 8 1 9 5 0132 0132 0132 0321 1 2 2 2 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 1 -1 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923112649119 0.608964283117 9 4 1 7 1023 0321 0132 1023 1 1 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 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 -0.618855971116 1.027314259388 2 2 3 1 3120 1230 3120 0132 1 1 2 0 0 0 0 0 1 0 -1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 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 0.508948213684 0.834275180874 2 9 3 5 0132 0213 1302 1023 1 1 2 2 0 0 0 0 -1 0 1 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 5 0 -6 1 1 -1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455092715926 0.816057270909 4 10 9 10 0132 0132 1302 2310 2 2 2 2 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 4 -4 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.134613196454 0.344064714556 8 5 7 4 2031 1023 0213 0132 1 2 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 1 -1 -1 0 1 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 0.245190575520 0.497937039978 8 8 10 10 3201 0132 2031 1302 2 2 2 2 0 0 0 0 1 0 0 -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 1 0 -1 -5 0 1 4 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653430527092 0.244321545241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_10']), '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' : 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' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_5'], 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0110_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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'], '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_5'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_0']})} 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0110_10, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 31633091/318686*c_0110_5^5 + 111979551/318686*c_0110_5^4 - 58094095/318686*c_0110_5^3 + 6654836/159343*c_0110_5^2 - 19502644/159343*c_0110_5 + 4841448/159343, c_0011_0 - 1, c_0011_3 + 6342/2017*c_0110_5^5 - 23230/2017*c_0110_5^4 + 14638/2017*c_0110_5^3 - 6132/2017*c_0110_5^2 + 9632/2017*c_0110_5 - 4618/2017, c_0011_5 - 23240/2017*c_0110_5^5 + 64804/2017*c_0110_5^4 + 2052/2017*c_0110_5^3 + 23499/2017*c_0110_5^2 - 14476/2017*c_0110_5 + 221/2017, c_0011_6 + 1, c_0101_0 - 1, c_0101_10 - 24836/2017*c_0110_5^5 + 71772/2017*c_0110_5^4 - 3061/2017*c_0110_5^3 + 18724/2017*c_0110_5^2 - 14362/2017*c_0110_5 + 3320/2017, c_0101_2 - 1, c_0101_3 + 1232/2017*c_0110_5^5 - 4388/2017*c_0110_5^4 + 1116/2017*c_0110_5^3 + 572/2017*c_0110_5^2 - 88/2017*c_0110_5 + 1111/2017, c_0101_6 - 6342/2017*c_0110_5^5 + 23230/2017*c_0110_5^4 - 14638/2017*c_0110_5^3 + 6132/2017*c_0110_5^2 - 9632/2017*c_0110_5 + 2601/2017, c_0110_10 - 22792/2017*c_0110_5^5 + 67059/2017*c_0110_5^4 - 8544/2017*c_0110_5^3 + 23707/2017*c_0110_5^2 - 14508/2017*c_0110_5 + 4659/2017, c_0110_5^6 - 27/7*c_0110_5^5 + 3*c_0110_5^4 - 8/7*c_0110_5^3 + 10/7*c_0110_5^2 - 5/7*c_0110_5 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB