Magma V2.19-8 Tue Aug 20 2013 23:38:30 on localhost [Seed = 2867646100] Type ? for help. Type -D to quit. Loading file "K11n50__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n50 geometric_solution 10.20676500 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.012437177971 0.625208051403 0 4 3 5 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 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 0.709444731412 0.884666465212 6 0 7 5 0132 0132 0132 2031 0 0 0 0 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 -1 0 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 0.852801446402 1.273864358366 1 8 7 0 2103 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048839405797 1.251054835989 6 1 0 9 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008683318532 1.519715885195 10 2 1 10 0132 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468562834935 1.036817298571 2 4 7 8 0132 1023 3012 1023 0 0 0 0 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 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 0.166894884562 0.581842558397 3 6 9 2 2031 1230 2031 0132 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558857654932 0.635394461290 9 3 10 6 1230 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.998207128709 1.502162285462 10 8 4 7 2031 3012 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508961199363 0.404470872784 5 8 9 5 0132 1230 1302 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.468562834935 1.036817298571 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_9'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0110_9']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), '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_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_1100_9' : d['c_0101_7'], 'c_1100_8' : negation(d['c_0110_9']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_8'], 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], '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_0101_0'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_6, c_0101_7, c_0101_8, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 7552/13*c_0110_9^3 + 2624/13*c_0110_9^2 + 1824/13*c_0110_9 + 2688/13, c_0011_0 - 1, c_0011_10 - 2*c_0110_9^3 + 2*c_0110_9, c_0011_3 + c_0110_9 + 1, c_0011_7 - 2*c_0110_9^3, c_0011_9 - 2*c_0110_9^3 - 2*c_0110_9^2 - c_0110_9 - 1, c_0101_0 - 4*c_0110_9^3 - 2*c_0110_9^2 - c_0110_9 - 1, c_0101_2 - 4*c_0110_9^3 - 2*c_0110_9^2 - c_0110_9 - 1, c_0101_6 - 2*c_0110_9^3 - c_0110_9 - 1, c_0101_7 + 2*c_0110_9^3 + 2*c_0110_9^2 + 2*c_0110_9 + 1, c_0101_8 - 2*c_0110_9 - 1, c_0110_9^4 + c_0110_9^3 + 1/2*c_0110_9^2 + 1/2*c_0110_9 + 1/4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_6, c_0101_7, c_0101_8, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 153/4*c_0110_9^3 + 459/4*c_0110_9^2 - 683/4*c_0110_9 + 153/4, c_0011_0 - 1, c_0011_10 + 1/2*c_0110_9^2 - c_0110_9 + 1/2, c_0011_3 + 1/2*c_0110_9^2 - c_0110_9 + 1/2, c_0011_7 + 1/2*c_0110_9^3 - c_0110_9^2 + 1/2*c_0110_9, c_0011_9 + 1/2*c_0110_9^2 + 1/2, c_0101_0 - 1/2*c_0110_9^2 - 1/2, c_0101_2 + 1/2*c_0110_9^3 - 1/2*c_0110_9^2 + 1/2*c_0110_9 + 1/2, c_0101_6 + c_0110_9, c_0101_7 + 1/2*c_0110_9^3 - 1/2*c_0110_9^2 + 3/2*c_0110_9 + 1/2, c_0101_8 - 1/2*c_0110_9^2 - 1/2, c_0110_9^4 - 2*c_0110_9^3 + 2*c_0110_9^2 + 2*c_0110_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB