Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 2850567523] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1689 geometric_solution 5.40858772 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 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 -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 0.516454229714 0.495422179669 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 1 -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 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 0.991631415244 0.967303845001 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 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 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 0.991631415244 0.967303845001 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082609177732 0.644262792377 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 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 1.490859447127 0.537818753334 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 0 0 0 0 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 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824535220168 0.347509355893 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800100649007 0.166198161384 ==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' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 43833/907*c_0101_6^11 + 229045/907*c_0101_6^10 + 49863/907*c_0101_6^9 - 1701406/907*c_0101_6^8 - 2280059/907*c_0101_6^7 + 1155472/907*c_0101_6^6 + 3341404/907*c_0101_6^5 + 895836/907*c_0101_6^4 - 884533/907*c_0101_6^3 - 287352/907*c_0101_6^2 + 35584/907*c_0101_6 - 43129/907, c_0011_0 - 1, c_0011_4 + 510676/124259*c_0101_1*c_0101_6^11 + 2532532/124259*c_0101_1*c_0101_6^10 - 15388/124259*c_0101_1*c_0101_6^9 - 19449968/124259*c_0101_1*c_0101_6^8 - 21482697/124259*c_0101_1*c_0101_6^7 + 16210546/124259*c_0101_1*c_0101_6^6 + 32093183/124259*c_0101_1*c_0101_6^5 + 5198494/124259*c_0101_1*c_0101_6^4 - 7774346/124259*c_0101_1*c_0101_6^3 - 1703705/124259*c_0101_1*c_0101_6^2 - 2235/124259*c_0101_1*c_0101_6 - 342966/124259*c_0101_1, c_0101_0 + 89956/124259*c_0101_6^11 + 405864/124259*c_0101_6^10 - 187190/124259*c_0101_6^9 - 3341951/124259*c_0101_6^8 - 2209562/124259*c_0101_6^7 + 3979848/124259*c_0101_6^6 + 3427064/124259*c_0101_6^5 - 1502958/124259*c_0101_6^4 - 594077/124259*c_0101_6^3 + 741187/124259*c_0101_6^2 + 68889/124259*c_0101_6 - 57052/124259, c_0101_1^2 + 91500/124259*c_0101_6^11 + 407653/124259*c_0101_6^10 - 258823/124259*c_0101_6^9 - 3613341/124259*c_0101_6^8 - 2047995/124259*c_0101_6^7 + 5921447/124259*c_0101_6^6 + 5080428/124259*c_0101_6^5 - 3436345/124259*c_0101_6^4 - 2863037/124259*c_0101_6^3 + 760412/124259*c_0101_6^2 + 282172/124259*c_0101_6 - 129982/124259, c_0101_2 + 4387/124259*c_0101_6^11 + 63913/124259*c_0101_6^10 + 211174/124259*c_0101_6^9 - 169287/124259*c_0101_6^8 - 1818079/124259*c_0101_6^7 - 1596236/124259*c_0101_6^6 + 1840747/124259*c_0101_6^5 + 2218008/124259*c_0101_6^4 + 2391/124259*c_0101_6^3 - 205563/124259*c_0101_6^2 + 71386/124259*c_0101_6 - 122715/124259, c_0101_5 - 111266/124259*c_0101_6^11 - 552722/124259*c_0101_6^10 + 9720/124259*c_0101_6^9 + 4290510/124259*c_0101_6^8 + 4718065/124259*c_0101_6^7 - 3866831/124259*c_0101_6^6 - 7462774/124259*c_0101_6^5 - 1157717/124259*c_0101_6^4 + 2240911/124259*c_0101_6^3 + 846574/124259*c_0101_6^2 + 48021/124259*c_0101_6 + 70512/124259, c_0101_6^12 + 4*c_0101_6^11 - 5*c_0101_6^10 - 39*c_0101_6^9 - 5*c_0101_6^8 + 80*c_0101_6^7 + 37*c_0101_6^6 - 60*c_0101_6^5 - 33*c_0101_6^4 + 14*c_0101_6^3 + 5*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB