Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 2951623520] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0342 geometric_solution 4.36738142 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.583308816486 0.112438120262 0 0 2 2 0132 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 -1 1 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 4.283636276594 1.371937989466 3 1 1 4 0132 3201 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 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 -0.452629608512 0.826284254539 2 4 6 5 0132 2310 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 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 0 0 0 0 0.305310451350 0.396555165957 5 6 2 3 3120 3012 0132 3201 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305310451350 0.396555165957 6 6 3 4 1302 0213 0132 3120 0 0 0 0 0 -1 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 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 0.579385109423 0.428717804046 4 5 5 3 1230 2031 0213 0132 0 0 0 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 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 1.166056052920 1.188519478512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_4, c_0011_5, c_0011_6, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 25776799923269/140333909920*c_0110_4^12 + 313117755714827/140333909920*c_0110_4^11 - 225833853501047/28066781984*c_0110_4^10 + 601419334559755/28066781984*c_0110_4^9 - 3337720528009577/70166954960*c_0110_4^8 + 9725633965741387/140333909920*c_0110_4^7 - 2548454983763503/35083477480*c_0110_4^6 + 486951777421731/7016695496*c_0110_4^5 - 183772089995188/4385434685*c_0110_4^4 + 59546233532042/4385434685*c_0110_4^3 - 286820875070895/28066781984*c_0110_4^2 - 602089047738361/140333909920*c_0110_4 - 202983006596799/140333909920, c_0011_0 - 1, c_0011_2 - 27180433/905380064*c_0110_4^12 + 337205229/905380064*c_0110_4^11 - 1301488003/905380064*c_0110_4^10 + 3744425337/905380064*c_0110_4^9 - 4234771923/452690032*c_0110_4^8 + 13362932351/905380064*c_0110_4^7 - 7827217463/452690032*c_0110_4^6 + 6761464197/452690032*c_0110_4^5 - 3558322741/452690032*c_0110_4^4 + 1341931631/452690032*c_0110_4^3 + 421666255/905380064*c_0110_4^2 - 874705341/905380064*c_0110_4 - 617163757/905380064, c_0011_4 + 21440373/905380064*c_0110_4^12 - 281895075/905380064*c_0110_4^11 + 1206511483/905380064*c_0110_4^10 - 3512755767/905380064*c_0110_4^9 + 4115705681/452690032*c_0110_4^8 - 14002290859/905380064*c_0110_4^7 + 4296390761/226345016*c_0110_4^6 - 4205843459/226345016*c_0110_4^5 + 1546191707/113172508*c_0110_4^4 - 203173672/28293127*c_0110_4^3 + 2341421443/905380064*c_0110_4^2 - 48309215/905380064*c_0110_4 + 29270879/905380064, c_0011_5 - c_0110_4, c_0011_6 - 556347/452690032*c_0110_4^12 - 811901/28293127*c_0110_4^11 + 212200533/452690032*c_0110_4^10 - 94329269/56586254*c_0110_4^9 + 485757159/113172508*c_0110_4^8 - 4205817563/452690032*c_0110_4^7 + 5563767303/452690032*c_0110_4^6 - 4611186545/452690032*c_0110_4^5 + 3388563979/452690032*c_0110_4^4 - 1059000361/452690032*c_0110_4^3 - 239808917/226345016*c_0110_4^2 + 140274837/452690032*c_0110_4 - 64980795/226345016, c_0101_1 + 184857713/452690032*c_0110_4^12 - 2270910963/452690032*c_0110_4^11 + 8411281911/452690032*c_0110_4^10 - 22718291003/452690032*c_0110_4^9 + 25412550729/226345016*c_0110_4^8 - 76190089423/452690032*c_0110_4^7 + 5128554774/28293127*c_0110_4^6 - 9723546611/56586254*c_0110_4^5 + 3032604510/28293127*c_0110_4^4 - 2026940233/56586254*c_0110_4^3 + 9133169643/452690032*c_0110_4^2 + 4429104485/452690032*c_0110_4 + 703917203/452690032, c_0110_4^13 - 12*c_0110_4^12 + 42*c_0110_4^11 - 110*c_0110_4^10 + 241*c_0110_4^9 - 337*c_0110_4^8 + 335*c_0110_4^7 - 312*c_0110_4^6 + 164*c_0110_4^5 - 32*c_0110_4^4 + 39*c_0110_4^3 + 34*c_0110_4^2 + 10*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB