Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 2766485630] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0926 geometric_solution 4.82205093 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585282065679 0.211907706391 2 0 3 0 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904156567161 0.335007385405 1 3 3 4 0132 0213 3012 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 0.700550585950 0.715841570549 4 2 2 1 1023 1230 0213 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 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 0.700550585950 0.715841570549 5 3 2 5 0132 1023 0132 3201 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 -1 0 1 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 0.474653560498 0.667756721235 4 4 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.235079054270 1.061816375723 5 6 6 5 3201 3201 2310 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 -0.620142750641 0.139817391311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 4749495243445/7938494878*c_0101_0*c_0101_5^13 + 8178534130766/3969247439*c_0101_0*c_0101_5^12 - 2159168560967/7938494878*c_0101_0*c_0101_5^11 - 12233869257322/3969247439*c_0101_0*c_0101_5^10 + 159991761902251/7938494878*c_0101_0*c_0101_5^9 + 220568932140353/3969247439*c_0101_0*c_0101_5^8 + 51372152154939/7938494878*c_0101_0*c_0101_5^7 - 163615606647141/3969247439*c_0101_0*c_0101_5^6 - 47071033964277/7938494878*c_0101_0*c_0101_5^5 - 221822866038983/3969247439*c_0101_0*c_0101_5^4 + 30260633266373/3969247439*c_0101_0*c_0101_5^3 + 38199450351109/7938494878*c_0101_0*c_0101_5^2 - 7519364585845/7938494878*c_0101_0*c_0101_5 + 9959400420993/7938494878*c_0101_0, c_0011_0 - 1, c_0011_1 - 15892582719/7938494878*c_0101_5^13 - 109901140421/15876989756*c_0101_5^12 + 13830962307/15876989756*c_0101_5^11 + 167170129147/15876989756*c_0101_5^10 - 534165362329/7938494878*c_0101_5^9 - 2972177693167/15876989756*c_0101_5^8 - 88993810362/3969247439*c_0101_5^7 + 1137281328511/7938494878*c_0101_5^6 + 368354116039/15876989756*c_0101_5^5 + 2894968187213/15876989756*c_0101_5^4 - 400674269061/15876989756*c_0101_5^3 - 333772718461/15876989756*c_0101_5^2 + 46190720183/15876989756*c_0101_5 - 58491696385/15876989756, c_0011_3 - 40107776679/15876989756*c_0101_0*c_0101_5^13 - 141741106499/15876989756*c_0101_0*c_0101_5^12 + 6190835815/15876989756*c_0101_0*c_0101_5^11 + 105137353927/7938494878*c_0101_0*c_0101_5^10 - 1330211745533/15876989756*c_0101_0*c_0101_5^9 - 962134845798/3969247439*c_0101_0*c_0101_5^8 - 379733205805/7938494878*c_0101_0*c_0101_5^7 + 2781573704747/15876989756*c_0101_0*c_0101_5^6 + 718281473917/15876989756*c_0101_0*c_0101_5^5 + 3781705406375/15876989756*c_0101_0*c_0101_5^4 - 223468205731/15876989756*c_0101_0*c_0101_5^3 - 429153996123/15876989756*c_0101_0*c_0101_5^2 - 10206275063/15876989756*c_0101_0*c_0101_5 - 38901984543/7938494878*c_0101_0, c_0011_6 + 13839659563/7938494878*c_0101_0*c_0101_5^13 + 98504112937/15876989756*c_0101_0*c_0101_5^12 - 2430147761/15876989756*c_0101_0*c_0101_5^11 - 147097235151/15876989756*c_0101_0*c_0101_5^10 + 228762633937/3969247439*c_0101_0*c_0101_5^9 + 2681669159765/15876989756*c_0101_0*c_0101_5^8 + 142520673340/3969247439*c_0101_0*c_0101_5^7 - 978480219453/7938494878*c_0101_0*c_0101_5^6 - 539637124427/15876989756*c_0101_0*c_0101_5^5 - 2578369206331/15876989756*c_0101_0*c_0101_5^4 + 95805736077/15876989756*c_0101_0*c_0101_5^3 + 353881501359/15876989756*c_0101_0*c_0101_5^2 + 2619618901/15876989756*c_0101_0*c_0101_5 + 49806500547/15876989756*c_0101_0, c_0101_0^2 - 15892582719/7938494878*c_0101_5^13 - 109901140421/15876989756*c_0101_5^12 + 13830962307/15876989756*c_0101_5^11 + 167170129147/15876989756*c_0101_5^10 - 534165362329/7938494878*c_0101_5^9 - 2972177693167/15876989756*c_0101_5^8 - 88993810362/3969247439*c_0101_5^7 + 1137281328511/7938494878*c_0101_5^6 + 368354116039/15876989756*c_0101_5^5 + 2894968187213/15876989756*c_0101_5^4 - 400674269061/15876989756*c_0101_5^3 - 333772718461/15876989756*c_0101_5^2 + 46190720183/15876989756*c_0101_5 - 74368686141/15876989756, c_0101_1 - 23841043527/15876989756*c_0101_5^13 - 20681083353/3969247439*c_0101_5^12 + 2445758296/3969247439*c_0101_5^11 + 127017729883/15876989756*c_0101_5^10 - 799666129571/15876989756*c_0101_5^9 - 2240840870295/15876989756*c_0101_5^8 - 139969375283/7938494878*c_0101_5^7 + 1743474746463/15876989756*c_0101_5^6 + 77388798519/3969247439*c_0101_5^5 + 1080087939689/7938494878*c_0101_5^4 - 65580645235/3969247439*c_0101_5^3 - 146457357663/7938494878*c_0101_5^2 + 5684358968/3969247439*c_0101_5 - 45988255855/15876989756, c_0101_5^14 + 3*c_0101_5^13 - 2*c_0101_5^12 - 5*c_0101_5^11 + 36*c_0101_5^10 + 78*c_0101_5^9 - 31*c_0101_5^8 - 75*c_0101_5^7 + 21*c_0101_5^6 - 88*c_0101_5^5 + 54*c_0101_5^4 + 4*c_0101_5^3 - 6*c_0101_5^2 + 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB