Magma V2.19-8 Wed Aug 21 2013 01:10:41 on localhost [Seed = 2799746881] Type ? for help. Type -D to quit. Loading file "L14n5425__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n5425 geometric_solution 11.97638877 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 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 0 -1 12 0 -12 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543297192188 1.007458634898 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 -1 0 1 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 12 1 -13 -12 0 12 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373260328590 0.823389597502 4 0 5 4 0132 0132 2103 2031 1 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 0 0 0 0 -1 0 1 0 0 -13 13 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585315136891 0.768967430915 4 6 0 7 3012 0132 0132 0132 1 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 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 0.751282899666 0.900176554182 2 2 1 3 0132 1302 0132 1230 1 1 1 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 -13 13 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 0.373260328590 0.823389597502 2 8 9 1 2103 0132 0132 0132 1 1 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 0 0 0 1 0 -1 13 0 -1 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453510620281 0.654795852469 10 3 11 8 0132 0132 0132 3120 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861124127899 0.499189503355 9 12 3 8 2031 0132 0132 3012 1 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 -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 0.276895810828 0.691766462790 6 5 7 12 3120 0132 1230 3012 1 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 -1 0 1 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 0.722078471332 0.690785197278 11 10 7 5 0321 0321 1302 0132 1 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 -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 0.517273523535 1.859340354848 6 12 11 9 0132 3012 1023 0321 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736550863399 0.322843313044 9 12 10 6 0321 0321 1023 0132 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736550863399 0.322843313044 10 7 8 11 1230 0132 1230 0321 1 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 1 -1 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 1.035460306998 1.796188296751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_1001_6'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0101_8'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_8'], '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_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_7'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : 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_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 512/3, c_0011_0 - 1, c_0011_10 - c_1001_6 - 1/2, c_0011_12 + 1/2, c_0011_5 - c_1001_6 + 1/2, c_0011_9 + 1, c_0101_0 + 1, c_0101_1 - 1, c_0101_10 - 1/2, c_0101_12 + c_1001_6, c_0101_7 - c_1001_6 + 1/2, c_0101_8 - c_1001_6 + 1/2, c_1001_1 + c_1001_6 + 1/2, c_1001_6^2 - 1/2*c_1001_6 + 1/4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 6162432/3025*c_1001_6^3 - 151552/275*c_1001_6^2 - 421888/121*c_1001_6 - 4289792/3025, c_0011_0 - 1, c_0011_10 + 2*c_1001_6^3 - 3*c_1001_6^2 - 1/2*c_1001_6 + 1/2, c_0011_12 - c_1001_6^2 + 1/2*c_1001_6 + 1/4, c_0011_5 + 2*c_1001_6^3 - 3*c_1001_6^2 - 1/2*c_1001_6 + 3/2, c_0011_9 + 2*c_1001_6^3 - 2*c_1001_6^2 - c_1001_6 + 1/4, c_0101_0 + 1, c_0101_1 - 1, c_0101_10 + c_1001_6^2 - 1/2*c_1001_6 - 1/4, c_0101_12 + c_1001_6, c_0101_7 + 2*c_1001_6^3 - 3*c_1001_6^2 - 1/2*c_1001_6 + 3/2, c_0101_8 + c_1001_6^2 - 1/2*c_1001_6 - 3/4, c_1001_1 - 2*c_1001_6^3 + 3*c_1001_6^2 + 1/2*c_1001_6 - 1/2, c_1001_6^4 - c_1001_6^3 - 5/4*c_1001_6^2 + 1/4*c_1001_6 + 5/16 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 423220847/58600*c_1001_6^8 + 310904751/23440*c_1001_6^7 - 1504827633/117200*c_1001_6^6 - 830412469/18752*c_1001_6^5 - 20571538311/468800*c_1001_6^4 - 18435106173/1875200*c_1001_6^3 + 91364204203/3750400*c_1001_6^2 + 734329203/234400*c_1001_6 - 14053148113/3750400, c_0011_0 - 1, c_0011_10 + 6672/293*c_1001_6^8 + 10936/293*c_1001_6^7 - 11896/293*c_1001_6^6 - 34234/293*c_1001_6^5 - 36410/293*c_1001_6^4 - 29237/586*c_1001_6^3 + 38317/1172*c_1001_6^2 - 14893/586*c_1001_6 + 2599/1172, c_0011_12 - 7581/293*c_1001_6^8 - 24249/586*c_1001_6^7 + 27767/586*c_1001_6^6 + 306231/2344*c_1001_6^5 + 319649/2344*c_1001_6^4 + 488679/9376*c_1001_6^3 - 696665/18752*c_1001_6^2 + 144473/4688*c_1001_6 - 67321/18752, c_0011_5 - 6672/293*c_1001_6^8 - 10936/293*c_1001_6^7 + 11896/293*c_1001_6^6 + 34234/293*c_1001_6^5 + 36410/293*c_1001_6^4 + 29237/586*c_1001_6^3 - 38317/1172*c_1001_6^2 + 14893/586*c_1001_6 - 3771/1172, c_0011_9 - 8334/293*c_1001_6^8 - 13403/293*c_1001_6^7 + 15205/293*c_1001_6^6 + 168901/1172*c_1001_6^5 + 176371/1172*c_1001_6^4 + 277653/4688*c_1001_6^3 - 376891/9376*c_1001_6^2 + 78173/2344*c_1001_6 - 35107/9376, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 7581/293*c_1001_6^8 + 24249/586*c_1001_6^7 - 27767/586*c_1001_6^6 - 306231/2344*c_1001_6^5 - 319649/2344*c_1001_6^4 - 488679/9376*c_1001_6^3 + 696665/18752*c_1001_6^2 - 144473/4688*c_1001_6 + 67321/18752, c_0101_12 + c_1001_6, c_0101_7 - 6672/293*c_1001_6^8 - 10936/293*c_1001_6^7 + 11896/293*c_1001_6^6 + 34234/293*c_1001_6^5 + 36410/293*c_1001_6^4 + 29237/586*c_1001_6^3 - 38317/1172*c_1001_6^2 + 14893/586*c_1001_6 - 3771/1172, c_0101_8 + 2893/586*c_1001_6^8 + 10185/1172*c_1001_6^7 - 9015/1172*c_1001_6^6 - 123399/4688*c_1001_6^5 - 141505/4688*c_1001_6^4 - 268343/18752*c_1001_6^3 + 176297/37504*c_1001_6^2 - 47197/9376*c_1001_6 + 1689/37504, c_1001_1 - 6672/293*c_1001_6^8 - 10936/293*c_1001_6^7 + 11896/293*c_1001_6^6 + 34234/293*c_1001_6^5 + 36410/293*c_1001_6^4 + 29237/586*c_1001_6^3 - 38317/1172*c_1001_6^2 + 14893/586*c_1001_6 - 2599/1172, c_1001_6^9 + 3/2*c_1001_6^8 - 2*c_1001_6^7 - 39/8*c_1001_6^6 - 19/4*c_1001_6^5 - 47/32*c_1001_6^4 + 107/64*c_1001_6^3 - 85/64*c_1001_6^2 + 17/64*c_1001_6 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB