Magma V2.19-8 Wed Aug 21 2013 01:02:41 on localhost [Seed = 3717973567] Type ? for help. Type -D to quit. Loading file "L14n15502__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15502 geometric_solution 11.62425804 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 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 -1 -1 2 1 0 -1 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 -0.151164025331 1.065559857849 0 3 2 5 0132 1023 3120 0132 0 0 1 0 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 1 -1 0 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130508635845 0.919959382896 3 0 1 6 1023 0132 3120 0132 0 0 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 -1 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 0.130508635845 0.919959382896 1 2 7 0 1023 1023 0132 0132 0 0 1 0 0 -1 0 1 -1 0 0 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 -1 0 1 -1 0 0 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 -0.151164025331 1.065559857849 8 7 0 9 0132 2031 0132 0132 0 0 1 0 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 1 -2 1 0 0 0 0 3 -1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424417987335 0.532779928924 10 11 1 6 0132 0132 0132 2031 0 0 1 1 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 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587921918763 1.466008147068 10 5 2 12 2103 1302 0132 0132 0 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 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 0.177697357622 0.632175759516 4 12 9 3 1302 0132 0132 0132 0 0 0 1 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 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424417987335 0.532779928924 4 9 10 12 0132 2103 3012 2103 1 0 0 1 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 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785759210264 1.054484588064 11 8 4 7 0132 2103 0132 0132 0 0 1 1 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 1 -1 0 0 0 0 0 -1 0 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903987339631 1.626400212872 5 8 6 11 0132 1230 2103 1023 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 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 0 0 0 0 -0.176422172420 0.878390180795 9 5 12 10 0132 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069518024658 0.458890224116 11 7 6 8 2031 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.215027451052 0.620601682370 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_0101_8'], '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'], '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' : 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_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' : 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_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : negation(d['c_1001_7']), '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'], 'c_1100_12' : negation(d['c_0101_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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_8'], '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' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_8, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 93904/31801*c_1100_0^5 + 174497/4543*c_1100_0^4 + 60666/539*c_1100_0^3 + 8022626/31801*c_1100_0^2 + 158421/539*c_1100_0 + 659371/4543, c_0011_0 - 1, c_0011_10 - 48/413*c_1100_0^5 - 90/59*c_1100_0^4 - 1867/413*c_1100_0^3 - 3888/413*c_1100_0^2 - 4387/413*c_1100_0 - 175/59, c_0011_12 + 13/59*c_1100_0^5 + 170/59*c_1100_0^4 + 506/59*c_1100_0^3 + 1130/59*c_1100_0^2 + 1323/59*c_1100_0 + 610/59, c_0011_6 - 52/413*c_1100_0^5 - 95/59*c_1100_0^4 - 1826/413*c_1100_0^3 - 3890/413*c_1100_0^2 - 3779/413*c_1100_0 - 211/59, c_0101_0 + 4/413*c_1100_0^5 + 5/59*c_1100_0^4 - 41/413*c_1100_0^3 + 2/413*c_1100_0^2 - 608/413*c_1100_0 - 82/59, c_0101_1 - 1, c_0101_10 - 4/413*c_1100_0^5 - 5/59*c_1100_0^4 + 41/413*c_1100_0^3 - 2/413*c_1100_0^2 + 608/413*c_1100_0 + 23/59, c_0101_12 - 19/413*c_1100_0^5 - 32/59*c_1100_0^4 - 423/413*c_1100_0^3 - 783/413*c_1100_0^2 - 934/413*c_1100_0 - 90/59, c_0101_2 - c_1100_0 - 1, c_0101_3 - 13/413*c_1100_0^5 - 25/59*c_1100_0^4 - 572/413*c_1100_0^3 - 1340/413*c_1100_0^2 - 1552/413*c_1100_0 - 133/59, c_0101_8 + 19/413*c_1100_0^5 + 32/59*c_1100_0^4 + 423/413*c_1100_0^3 + 783/413*c_1100_0^2 + 521/413*c_1100_0 - 28/59, c_1001_7 - 152/413*c_1100_0^5 - 285/59*c_1100_0^4 - 5981/413*c_1100_0^3 - 13138/413*c_1100_0^2 - 15613/413*c_1100_0 - 1036/59, c_1100_0^6 + 14*c_1100_0^5 + 51*c_1100_0^4 + 123*c_1100_0^3 + 184*c_1100_0^2 + 147*c_1100_0 + 49 ], 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_8, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 36597/18944*c_1100_0^8 + 134369/9472*c_1100_0^7 + 72029/2368*c_1100_0^6 - 384381/9472*c_1100_0^5 - 5539525/18944*c_1100_0^4 - 5780355/9472*c_1100_0^3 - 8079481/9472*c_1100_0^2 - 6508185/9472*c_1100_0 - 4436603/9472, c_0011_0 - 1, c_0011_10 - 1/256*c_1100_0^8 - 3/64*c_1100_0^7 - 33/128*c_1100_0^6 - 55/64*c_1100_0^5 - 517/256*c_1100_0^4 - 441/128*c_1100_0^3 - 509/128*c_1100_0^2 - 407/128*c_1100_0 - 155/128, c_0011_12 + 3/128*c_1100_0^8 + 11/32*c_1100_0^7 + 135/64*c_1100_0^6 + 227/32*c_1100_0^5 + 1863/128*c_1100_0^4 + 1291/64*c_1100_0^3 + 1311/64*c_1100_0^2 + 853/64*c_1100_0 + 377/64, c_0011_6 - 1/256*c_1100_0^8 - 3/64*c_1100_0^7 - 33/128*c_1100_0^6 - 55/64*c_1100_0^5 - 517/256*c_1100_0^4 - 473/128*c_1100_0^3 - 637/128*c_1100_0^2 - 503/128*c_1100_0 - 283/128, c_0101_0 + 1/2*c_1100_0 + 1/2, c_0101_1 - 1, c_0101_10 + 1/2*c_1100_0 + 1/2, c_0101_12 - 15/256*c_1100_0^8 - 37/64*c_1100_0^7 - 319/128*c_1100_0^6 - 385/64*c_1100_0^5 - 2475/256*c_1100_0^4 - 1463/128*c_1100_0^3 - 1011/128*c_1100_0^2 - 505/128*c_1100_0 + 139/128, c_0101_2 + 1, c_0101_3 - 1/16*c_1100_0^8 - 5/8*c_1100_0^7 - 11/4*c_1100_0^6 - 55/8*c_1100_0^5 - 187/16*c_1100_0^4 - 121/8*c_1100_0^3 - 107/8*c_1100_0^2 - 79/8*c_1100_0 - 29/8, c_0101_8 - 1/128*c_1100_0^8 + 29/64*c_1100_0^6 + 43/16*c_1100_0^5 + 927/128*c_1100_0^4 + 743/64*c_1100_0^3 + 847/64*c_1100_0^2 + 593/64*c_1100_0 + 289/64, c_1001_7 - 1/128*c_1100_0^8 + 29/64*c_1100_0^6 + 43/16*c_1100_0^5 + 927/128*c_1100_0^4 + 743/64*c_1100_0^3 + 847/64*c_1100_0^2 + 593/64*c_1100_0 + 289/64, c_1100_0^9 + 11*c_1100_0^8 + 54*c_1100_0^7 + 154*c_1100_0^6 + 297*c_1100_0^5 + 429*c_1100_0^4 + 456*c_1100_0^3 + 372*c_1100_0^2 + 200*c_1100_0 + 74 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB