Magma V2.19-8 Wed Aug 21 2013 00:59:19 on localhost [Seed = 2901063667] Type ? for help. Type -D to quit. Loading file "L13n6810__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6810 geometric_solution 12.21631478 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 0 1 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 4 -4 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508451702223 0.758793684238 0 5 7 6 0132 0132 0132 0132 2 2 1 0 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 3 -3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508451702223 0.758793684238 8 0 7 9 0132 0132 3012 0132 2 2 1 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 1 3 -4 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 0.455784235232 1.108583226574 8 5 6 0 2031 1230 0132 0132 2 2 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 0 0 0 0 0 0 0 4 0 0 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478262357342 0.608430791222 10 11 0 7 0132 0132 0132 0132 2 2 2 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 -1 1 0 0 4 -4 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437283635213 1.345392104643 12 1 3 11 0132 0132 3012 1023 2 2 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 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 0.455784235232 1.108583226574 10 9 1 3 2310 1023 0132 0132 2 2 2 1 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 0 0 0 -3 0 3 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 0.437283635213 1.345392104643 12 2 4 1 2031 1230 0132 0132 2 2 0 2 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 -1 1 -1 0 4 -3 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478262357342 0.608430791222 2 10 3 11 0132 3120 1302 3120 2 2 0 1 0 0 -1 1 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 -4 4 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 0.857058854283 0.784446077309 6 12 2 11 1023 1302 0132 3012 2 2 2 1 0 0 1 -1 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 4 -4 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 0.023046103410 0.652435458369 4 8 6 12 0132 3120 3201 2031 1 2 0 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 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.436310641083 0.744999209450 8 4 9 5 3120 0132 1230 1023 2 2 0 2 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 0 0 1 -1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023046103410 0.652435458369 5 10 7 9 0132 1302 1302 2031 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857058854283 0.784446077309 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_9'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : d['1'], 's_2_4' : negation(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' : 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_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_9'], 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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_0101_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : d['c_0011_6'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0110_9, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 31445122031811/2496285189865472*c_1100_0^6 - 163528251023919/1248142594932736*c_1100_0^5 - 262364462260987/624071297466368*c_1100_0^4 - 144096426022771/1248142594932736*c_1100_0^3 + 4237585680437435/2496285189865472*c_1100_0^2 + 4427957727960679/2496285189865472*c_1100_0 + 1195365975238509/1248142594932736, c_0011_0 - 1, c_0011_10 + 25640/9299387*c_1100_0^6 - 383890/9299387*c_1100_0^5 + 586820/9299387*c_1100_0^4 + 983398/9299387*c_1100_0^3 + 883713/9299387*c_1100_0^2 - 4428690/9299387*c_1100_0 + 8284849/9299387, c_0011_3 - 153229/18598774*c_1100_0^6 + 778965/9299387*c_1100_0^5 + 2566177/9299387*c_1100_0^4 + 2898303/9299387*c_1100_0^3 - 5298991/18598774*c_1100_0^2 + 17997779/18598774*c_1100_0 + 10197204/9299387, c_0011_6 + 25640/9299387*c_1100_0^6 - 383890/9299387*c_1100_0^5 + 586820/9299387*c_1100_0^4 + 983398/9299387*c_1100_0^3 + 883713/9299387*c_1100_0^2 - 4428690/9299387*c_1100_0 + 8284849/9299387, c_0011_7 - 153229/18598774*c_1100_0^6 + 778965/9299387*c_1100_0^5 + 2566177/9299387*c_1100_0^4 + 2898303/9299387*c_1100_0^3 - 5298991/18598774*c_1100_0^2 + 17997779/18598774*c_1100_0 + 10197204/9299387, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 73192/9299387*c_1100_0^6 + 834716/9299387*c_1100_0^5 + 1618093/9299387*c_1100_0^4 - 1745252/9299387*c_1100_0^3 - 3042022/9299387*c_1100_0^2 + 11104340/9299387*c_1100_0 + 6476584/9299387, c_0101_2 + 153229/18598774*c_1100_0^6 - 778965/9299387*c_1100_0^5 - 2566177/9299387*c_1100_0^4 - 2898303/9299387*c_1100_0^3 + 5298991/18598774*c_1100_0^2 + 600995/18598774*c_1100_0 - 10197204/9299387, c_0101_5 - 153229/18598774*c_1100_0^6 + 778965/9299387*c_1100_0^5 + 2566177/9299387*c_1100_0^4 + 2898303/9299387*c_1100_0^3 - 5298991/18598774*c_1100_0^2 - 600995/18598774*c_1100_0 + 10197204/9299387, c_0110_9 - 121553/9299387*c_1100_0^6 + 1359312/9299387*c_1100_0^5 + 2897764/9299387*c_1100_0^4 - 309038/9299387*c_1100_0^3 - 7792074/9299387*c_1100_0^2 + 10016697/9299387*c_1100_0 + 11228576/9299387, c_1001_11 - 121553/9299387*c_1100_0^6 + 1359312/9299387*c_1100_0^5 + 2897764/9299387*c_1100_0^4 - 309038/9299387*c_1100_0^3 - 7792074/9299387*c_1100_0^2 + 10016697/9299387*c_1100_0 + 11228576/9299387, c_1100_0^7 - 10*c_1100_0^6 - 36*c_1100_0^5 - 34*c_1100_0^4 + 41*c_1100_0^3 - 51*c_1100_0^2 - 162*c_1100_0 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB