Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 964208095] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1889 geometric_solution 5.50827678 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 -1 0 1 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 0.304118907430 0.376498302385 0 1 0 1 0132 2310 2310 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 -1 0 1 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 -1.297018745918 0.619622309728 4 3 5 0 0132 3012 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671379799496 1.007629086523 2 4 0 5 1230 0132 0132 3201 0 0 0 0 0 1 -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 0 0 -1 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 0.671379799496 1.007629086523 2 3 6 6 0132 0132 0132 3201 0 0 0 0 0 -1 1 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 0 0 -0.223142694415 1.458102274535 5 3 5 2 2310 2310 3201 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.168097834641 1.175195586590 6 4 6 4 2031 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 -0.427288226741 0.999306218875 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 139625238687/3290098447*c_0101_2^23 - 789665958235/3290098447*c_0101_2^21 + 1415882962383/3290098447*c_0101_2^19 + 1270246948879/3290098447*c_0101_2^17 - 13187046653577/3290098447*c_0101_2^15 + 21196487073850/3290098447*c_0101_2^13 + 16960857530802/3290098447*c_0101_2^11 - 69101416492064/3290098447*c_0101_2^9 + 49159931195602/3290098447*c_0101_2^7 - 2148077109894/3290098447*c_0101_2^5 - 4358075258148/3290098447*c_0101_2^3 - 443873681158/3290098447*c_0101_2, c_0011_0 - 1, c_0011_2 - 994935211/3290098447*c_0101_2^23 + 5652920235/3290098447*c_0101_2^21 - 10812303817/3290098447*c_0101_2^19 - 6088377357/3290098447*c_0101_2^17 + 90914518733/3290098447*c_0101_2^15 - 161596544202/3290098447*c_0101_2^13 - 70903629646/3290098447*c_0101_2^11 + 452166615946/3290098447*c_0101_2^9 - 470047808018/3290098447*c_0101_2^7 + 198604925574/3290098447*c_0101_2^5 - 10913912639/3290098447*c_0101_2^3 - 7046130803/3290098447*c_0101_2, c_0011_5 + 1101280015/3290098447*c_0101_2^22 - 5879397107/3290098447*c_0101_2^20 + 9527206295/3290098447*c_0101_2^18 + 11902251406/3290098447*c_0101_2^16 - 98594034938/3290098447*c_0101_2^14 + 138843904692/3290098447*c_0101_2^12 + 158320045746/3290098447*c_0101_2^10 - 471407586775/3290098447*c_0101_2^8 + 277387176733/3290098447*c_0101_2^6 - 18002061411/3290098447*c_0101_2^4 - 8125378188/3290098447*c_0101_2^2 + 839833593/3290098447, c_0011_6 - 1797379832/3290098447*c_0101_2^23 + 9276714693/3290098447*c_0101_2^21 - 14424992541/3290098447*c_0101_2^19 - 19596417215/3290098447*c_0101_2^17 + 154624857594/3290098447*c_0101_2^15 - 206362474089/3290098447*c_0101_2^13 - 254555989887/3290098447*c_0101_2^11 + 687946682443/3290098447*c_0101_2^9 - 423963872234/3290098447*c_0101_2^7 + 96990173413/3290098447*c_0101_2^5 - 14067018210/3290098447*c_0101_2^3 - 1583244557/3290098447*c_0101_2, c_0101_0 + 1919382691/3290098447*c_0101_2^22 - 9736470238/3290098447*c_0101_2^20 + 14236366079/3290098447*c_0101_2^18 + 23644772258/3290098447*c_0101_2^16 - 164973553860/3290098447*c_0101_2^14 + 201799403676/3290098447*c_0101_2^12 + 314464876534/3290098447*c_0101_2^10 - 732970317355/3290098447*c_0101_2^8 + 336876913762/3290098447*c_0101_2^6 + 26586301894/3290098447*c_0101_2^4 - 21621648210/3290098447*c_0101_2^2 - 1202605777/3290098447, c_0101_1 + 177134248/3290098447*c_0101_2^22 - 186674690/3290098447*c_0101_2^20 - 1989123876/3290098447*c_0101_2^18 + 6070309545/3290098447*c_0101_2^16 - 4950674328/3290098447*c_0101_2^14 - 37919058048/3290098447*c_0101_2^12 + 79958493049/3290098447*c_0101_2^10 + 68164498625/3290098447*c_0101_2^8 - 179577614516/3290098447*c_0101_2^6 + 44306863791/3290098447*c_0101_2^4 + 15807901628/3290098447*c_0101_2^2 - 1711712125/3290098447, c_0101_2^24 - 6*c_0101_2^22 + 12*c_0101_2^20 + 6*c_0101_2^18 - 98*c_0101_2^16 + 183*c_0101_2^14 + 76*c_0101_2^12 - 542*c_0101_2^10 + 505*c_0101_2^8 - 113*c_0101_2^6 - 28*c_0101_2^4 + 4*c_0101_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB