Magma V2.19-8 Wed Aug 21 2013 01:02:30 on localhost [Seed = 4020892699] Type ? for help. Type -D to quit. Loading file "L14n15055__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15055 geometric_solution 12.24650737 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 8 0 -8 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 0.707530592886 0.954392999378 0 4 0 5 0132 0132 3012 0132 1 1 1 0 0 1 0 -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 0 0 0 -7 -1 8 -8 0 1 7 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498726271189 0.676171662907 6 4 7 0 0132 1230 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 -8 8 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791519775856 0.674449144250 4 4 0 5 0132 1302 0132 2103 1 1 1 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 -1 1 0 0 0 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 0.707530592886 0.954392999378 3 1 2 3 0132 0132 3012 2031 1 1 0 1 0 -1 1 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 7 -7 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293524819231 0.957837044846 8 9 1 3 0132 0132 0132 2103 1 1 1 1 0 -1 1 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 8 -8 0 7 0 -7 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418344623437 1.353376198810 2 10 8 11 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 8 -8 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539324242696 0.371000532837 11 9 12 2 0132 3201 0132 0132 1 1 1 1 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 0 0 0 0 -8 8 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539324242696 0.371000532837 5 10 9 6 0132 3012 0132 0132 1 1 1 1 0 0 1 -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 -8 8 -7 0 7 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 0.062948837461 1.171042118446 12 5 7 8 2103 0132 2310 0132 1 1 1 1 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 -8 0 8 0 0 7 -7 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062948837461 1.171042118446 8 6 12 12 1230 0132 1302 2031 1 1 1 1 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 0 -8 8 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835250434117 0.824615221548 7 11 6 11 0132 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679593789642 1.111298455271 10 10 9 7 2031 1302 2103 0132 1 1 1 1 0 0 0 0 1 0 0 -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 0 0 -8 0 0 8 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835250434117 0.824615221548 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0011_5']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0011_11']), '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' : negation(d['c_0101_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_5']), '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_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['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_11, c_0101_12, c_0101_4, c_0101_7, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 337009511/9600*c_0101_8^9 + 104464107/6400*c_0101_8^8 + 123840913/9600*c_0101_8^7 - 77164129/4800*c_0101_8^6 - 79511479/9600*c_0101_8^5 + 58255901/9600*c_0101_8^4 + 6774407/9600*c_0101_8^3 - 89901/64*c_0101_8^2 - 2027261/4800*c_0101_8 + 1202551/6400, c_0011_0 - 1, c_0011_10 - c_0101_8, c_0011_11 - 7421/64*c_0101_8^8 + 1245/32*c_0101_8^7 + 1509/32*c_0101_8^6 - 1249/32*c_0101_8^5 - 119/4*c_0101_8^4 + 375/32*c_0101_8^3 + 175/32*c_0101_8^2 - 11/32*c_0101_8 - 107/64, c_0011_12 - 1267/32*c_0101_8^9 + 3767/32*c_0101_8^8 + 375/16*c_0101_8^7 - 1285/16*c_0101_8^6 + 135/8*c_0101_8^5 + 105/2*c_0101_8^4 - 95/16*c_0101_8^3 - 163/16*c_0101_8^2 + 39/32*c_0101_8 + 73/32, c_0011_5 - 9955/64*c_0101_8^9 + 4413/64*c_0101_8^8 + 1589/32*c_0101_8^7 - 1979/32*c_0101_8^6 - 511/16*c_0101_8^5 + 321/16*c_0101_8^4 + 99/32*c_0101_8^3 - 157/32*c_0101_8^2 - 113/64*c_0101_8 + 79/64, c_0101_0 - 1, c_0101_1 + 543/2*c_0101_8^9 - 1551/32*c_0101_8^8 - 1169/8*c_0101_8^7 + 747/8*c_0101_8^6 + 415/4*c_0101_8^5 - 573/16*c_0101_8^4 - 149/8*c_0101_8^3 + 75/8*c_0101_8^2 + 5*c_0101_8 - 31/32, c_0101_11 - 9955/64*c_0101_8^9 + 4413/64*c_0101_8^8 + 1589/32*c_0101_8^7 - 1979/32*c_0101_8^6 - 511/16*c_0101_8^5 + 321/16*c_0101_8^4 + 99/32*c_0101_8^3 - 157/32*c_0101_8^2 - 113/64*c_0101_8 + 79/64, c_0101_12 + 1267/32*c_0101_8^9 - 3767/32*c_0101_8^8 - 375/16*c_0101_8^7 + 1285/16*c_0101_8^6 - 135/8*c_0101_8^5 - 105/2*c_0101_8^4 + 95/16*c_0101_8^3 + 163/16*c_0101_8^2 - 39/32*c_0101_8 - 73/32, c_0101_4 + 8145/32*c_0101_8^9 - 1277/8*c_0101_8^8 - 693/8*c_0101_8^7 + 523/4*c_0101_8^6 + 675/16*c_0101_8^5 - 413/8*c_0101_8^4 - 21/8*c_0101_8^3 + 19/2*c_0101_8^2 + 65/32*c_0101_8 - 1/2, c_0101_7 - 1629/64*c_0101_8^9 - 723/8*c_0101_8^8 + 491/32*c_0101_8^7 + 1783/32*c_0101_8^6 - 629/16*c_0101_8^5 - 1243/32*c_0101_8^4 + 329/32*c_0101_8^3 + 317/32*c_0101_8^2 - 167/64*c_0101_8 - 69/32, c_0101_8^10 - 202/181*c_0101_8^9 + 9/181*c_0101_8^8 + 120/181*c_0101_8^7 - 18/181*c_0101_8^6 - 52/181*c_0101_8^5 + 22/181*c_0101_8^4 + 8/181*c_0101_8^3 - 3/181*c_0101_8^2 - 2/181*c_0101_8 + 1/181, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.590 seconds, Total memory usage: 32.09MB