Magma V2.19-8 Tue Aug 20 2013 23:38:16 on localhost [Seed = 223045921] Type ? for help. Type -D to quit. Loading file "K12n332__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n332 geometric_solution 9.25636341 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 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 0.450223638108 0.567411189241 0 5 3 6 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845414974515 0.728592239490 7 0 5 8 0132 0132 1230 0132 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 -1 1 0 0 0 -7 7 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955430776255 0.503302189486 9 1 7 0 0132 0213 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201552399655 0.501193132575 9 6 0 8 1302 0132 0132 2310 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 1 -1 0 0 0 0 8 -1 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845414974515 0.728592239490 9 1 8 2 3120 0132 2031 3012 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 1 0 0 -1 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574549642974 0.991001193473 7 4 1 8 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450223638108 0.567411189241 2 6 9 3 0132 1023 1023 1302 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 1 -1 0 0 0 -8 8 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955430776255 0.503302189486 4 6 2 5 3201 0321 0132 1302 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 0 7 0 -7 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 0.898431199465 0.563953786157 3 4 7 5 0132 2031 1023 3120 0 0 0 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 -8 8 0 0 0 1 -1 -8 1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562144693228 0.755226527222 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : negation(d['c_0101_3']), 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_0110_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 77813/35542*c_1001_2^7 - 21987/2734*c_1001_2^6 - 489394/17771*c_1001_2^5 - 793968/17771*c_1001_2^4 - 2085663/35542*c_1001_2^3 - 1612155/35542*c_1001_2^2 + 111083/35542*c_1001_2 + 559639/35542, c_0011_0 - 1, c_0011_3 + 679/1367*c_1001_2^7 + 2172/1367*c_1001_2^6 + 7790/1367*c_1001_2^5 + 11288/1367*c_1001_2^4 + 16936/1367*c_1001_2^3 + 13393/1367*c_1001_2^2 + 2332/1367*c_1001_2 - 1235/1367, c_0011_8 - 366/1367*c_1001_2^7 - 1054/1367*c_1001_2^6 - 3891/1367*c_1001_2^5 - 5090/1367*c_1001_2^4 - 8221/1367*c_1001_2^3 - 6581/1367*c_1001_2^2 - 1255/1367*c_1001_2 - 1567/1367, c_0101_0 + 200/1367*c_1001_2^7 + 68/1367*c_1001_2^6 + 692/1367*c_1001_2^5 - 2582/1367*c_1001_2^4 - 2380/1367*c_1001_2^3 - 8042/1367*c_1001_2^2 - 7195/1367*c_1001_2 - 1310/1367, c_0101_2 - 501/1367*c_1001_2^7 - 1510/1367*c_1001_2^6 - 5315/1367*c_1001_2^5 - 6833/1367*c_1001_2^4 - 10032/1367*c_1001_2^3 - 6689/1367*c_1001_2^2 + 355/1367*c_1001_2 - 341/1367, c_0101_3 - 44/1367*c_1001_2^7 - 179/1367*c_1001_2^6 - 535/1367*c_1001_2^5 - 963/1367*c_1001_2^4 - 570/1367*c_1001_2^3 - 582/1367*c_1001_2^2 + 1993/1367*c_1001_2 + 835/1367, c_0101_7 - 769/1367*c_1001_2^7 - 2476/1367*c_1001_2^6 - 9195/1367*c_1001_2^5 - 13817/1367*c_1001_2^4 - 22700/1367*c_1001_2^3 - 18933/1367*c_1001_2^2 - 9005/1367*c_1001_2 - 1593/1367, c_0110_8 - 679/1367*c_1001_2^7 - 2172/1367*c_1001_2^6 - 7790/1367*c_1001_2^5 - 11288/1367*c_1001_2^4 - 16936/1367*c_1001_2^3 - 13393/1367*c_1001_2^2 - 2332/1367*c_1001_2 - 1499/1367, c_1001_0 + 366/1367*c_1001_2^7 + 1054/1367*c_1001_2^6 + 3891/1367*c_1001_2^5 + 5090/1367*c_1001_2^4 + 8221/1367*c_1001_2^3 + 6581/1367*c_1001_2^2 + 1255/1367*c_1001_2 + 1567/1367, c_1001_2^8 + 4*c_1001_2^7 + 14*c_1001_2^6 + 26*c_1001_2^5 + 39*c_1001_2^4 + 42*c_1001_2^3 + 23*c_1001_2^2 + 6*c_1001_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB