Magma V2.19-8 Tue Aug 20 2013 23:53:29 on localhost [Seed = 2084181893] Type ? for help. Type -D to quit. Loading file "L13n6157__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6157 geometric_solution 10.70406112 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 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 -1 1 0 1 0 -2 1 -1 1 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984409638345 0.732965373078 0 5 7 6 0132 0132 0132 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 1 -1 0 -1 0 1 0 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201425354738 0.540026010968 7 0 9 8 2031 0132 0132 0132 1 0 0 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 0 0 0 1 -1 0 4 0 0 -4 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.048287998527 0.870821405000 8 5 7 0 0213 1230 2103 0132 1 1 0 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 0 1 -1 0 0 -2 2 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860056367507 0.506816689657 10 11 0 9 0132 0132 0132 3012 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 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 0.518390652119 0.521454519163 8 1 3 11 1023 0132 3012 3120 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 -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 0.742055269846 0.903564521079 8 10 1 9 3201 0213 0132 1230 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 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518551610333 0.720776794449 3 10 2 1 2103 3120 1302 0132 0 1 1 0 0 1 -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 0 3 -4 1 2 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 -0.606337126489 1.625603788292 3 5 2 6 0213 1023 0132 2310 1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772551091651 0.734590146677 6 11 4 2 3012 0321 1230 0132 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 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 0.556950602150 1.710411374496 4 7 6 11 0132 3120 0213 3012 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 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.019128469927 1.994878775709 5 4 10 9 3120 0132 1230 0321 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 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 0.769312498771 0.417456820894 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_9'], 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_1001_2'], '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_11' : d['c_0011_7'], 'c_0101_10' : d['c_0011_6'], '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_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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0101_9']), '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' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_9']), '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'], '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_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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 274587/33176*c_1001_2^5 - 196797/4147*c_1001_2^4 - 382957/3016*c_1001_2^3 - 2905693/16588*c_1001_2^2 - 4240785/33176*c_1001_2 - 187959/16588, c_0011_0 - 1, c_0011_10 + 13/42*c_1001_2^5 + 59/42*c_1001_2^4 + 39/14*c_1001_2^3 + 52/21*c_1001_2^2 + c_1001_2 - 11/21, c_0011_3 - 4/21*c_1001_2^5 - 23/21*c_1001_2^4 - 19/7*c_1001_2^3 - 74/21*c_1001_2^2 - 2*c_1001_2 - 11/21, c_0011_6 + 1/21*c_1001_2^5 + 1/42*c_1001_2^4 - 1/14*c_1001_2^3 - 5/42*c_1001_2^2 - 13/21, c_0011_7 - 4/21*c_1001_2^5 - 23/21*c_1001_2^4 - 19/7*c_1001_2^3 - 74/21*c_1001_2^2 - 3*c_1001_2 - 32/21, c_0011_9 + 1/2*c_1001_2^5 + 3*c_1001_2^4 + 8*c_1001_2^3 + 21/2*c_1001_2^2 + 6*c_1001_2, c_0101_0 - 1, c_0101_1 - 1, c_0101_2 - 1/2*c_1001_2^5 - 5/2*c_1001_2^4 - 11/2*c_1001_2^3 - 6*c_1001_2^2 - 3*c_1001_2, c_0101_5 - c_1001_2 - 1, c_0101_9 - 1/21*c_1001_2^5 - 11/21*c_1001_2^4 - 10/7*c_1001_2^3 - 29/21*c_1001_2^2 + 13/21, c_1001_2^6 + 6*c_1001_2^5 + 17*c_1001_2^4 + 26*c_1001_2^3 + 23*c_1001_2^2 + 8*c_1001_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB