Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 4273955369] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1521 geometric_solution 5.31980420 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 0 1 -1 -1 0 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 -1 0 0 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553115765655 0.943106911002 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068831575791 0.910072532632 3 0 4 1 3201 0132 3201 0132 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 0 0 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 0.068831575791 0.910072532632 3 1 3 2 2310 0132 3201 2310 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 -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 0.450779382269 0.945956329483 2 5 1 5 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339386358076 1.933319586443 4 4 6 6 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273664486102 0.148981415762 5 6 5 6 2310 2310 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 -1.736100554594 0.441939636077 ==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_6']), 'c_1100_5' : negation(d['c_0011_6']), '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' : negation(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_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_6'], '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), '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' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_1']), '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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 111/5*c_0101_6^9 + 18/5*c_0101_6^8 - 819/5*c_0101_6^7 - 526/5*c_0101_6^6 + 63*c_0101_6^5 + 893/5*c_0101_6^4 + 744/5*c_0101_6^3 + 288/5*c_0101_6^2 + 2/5*c_0101_6 - 23/5, c_0011_0 - 1, c_0011_4 + 11/15*c_0101_6^9 + 13/15*c_0101_6^8 - 104/15*c_0101_6^7 - 47/5*c_0101_6^6 + 32/3*c_0101_6^5 + 253/15*c_0101_6^4 + 33/5*c_0101_6^3 - 107/15*c_0101_6^2 - 46/5*c_0101_6 - 68/15, c_0011_6 - 44/15*c_0101_6^9 + 23/15*c_0101_6^8 + 341/15*c_0101_6^7 - 2/5*c_0101_6^6 - 71/3*c_0101_6^5 - 367/15*c_0101_6^4 - 7/5*c_0101_6^3 + 203/15*c_0101_6^2 + 64/5*c_0101_6 + 62/15, c_0101_0 - 59/15*c_0101_6^9 + 23/15*c_0101_6^8 + 476/15*c_0101_6^7 + 13/5*c_0101_6^6 - 116/3*c_0101_6^5 - 502/15*c_0101_6^4 - 12/5*c_0101_6^3 + 293/15*c_0101_6^2 + 99/5*c_0101_6 + 107/15, c_0101_1 + 62/15*c_0101_6^9 - 44/15*c_0101_6^8 - 473/15*c_0101_6^7 + 31/5*c_0101_6^6 + 98/3*c_0101_6^5 + 451/15*c_0101_6^4 - 19/5*c_0101_6^3 - 269/15*c_0101_6^2 - 77/5*c_0101_6 - 56/15, c_0101_2 - 23/15*c_0101_6^9 - 4/15*c_0101_6^8 + 197/15*c_0101_6^7 + 36/5*c_0101_6^6 - 53/3*c_0101_6^5 - 259/15*c_0101_6^4 - 19/5*c_0101_6^3 + 116/15*c_0101_6^2 + 43/5*c_0101_6 + 59/15, c_0101_6^10 - 8*c_0101_6^8 - 4*c_0101_6^7 + 8*c_0101_6^6 + 13*c_0101_6^5 + 5*c_0101_6^4 - 4*c_0101_6^3 - 7*c_0101_6^2 - 4*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 461/235*c_0101_6^10 - 1579/235*c_0101_6^9 + 3401/235*c_0101_6^8 + 9407/235*c_0101_6^7 - 14234/235*c_0101_6^6 - 1720/47*c_0101_6^5 + 29567/235*c_0101_6^4 - 17196/235*c_0101_6^3 - 12648/235*c_0101_6^2 + 18822/235*c_0101_6 - 6022/235, c_0011_0 - 1, c_0011_4 - 954/235*c_0101_6^10 - 1591/235*c_0101_6^9 + 6564/235*c_0101_6^8 + 3488/235*c_0101_6^7 - 11881/235*c_0101_6^6 + 1558/47*c_0101_6^5 + 7143/235*c_0101_6^4 - 10694/235*c_0101_6^3 + 1658/235*c_0101_6^2 + 2133/235*c_0101_6 - 1103/235, c_0011_6 + 139/47*c_0101_6^10 + 236/47*c_0101_6^9 - 949/47*c_0101_6^8 - 529/47*c_0101_6^7 + 1727/47*c_0101_6^6 - 1123/47*c_0101_6^5 - 1108/47*c_0101_6^4 + 1534/47*c_0101_6^3 - 213/47*c_0101_6^2 - 313/47*c_0101_6 + 158/47, c_0101_0 - 614/235*c_0101_6^10 - 1056/235*c_0101_6^9 + 4099/235*c_0101_6^8 + 2238/235*c_0101_6^7 - 7256/235*c_0101_6^6 + 1106/47*c_0101_6^5 + 4683/235*c_0101_6^4 - 7099/235*c_0101_6^3 + 1443/235*c_0101_6^2 + 1528/235*c_0101_6 - 938/235, c_0101_1 + 158/47*c_0101_6^10 + 297/47*c_0101_6^9 - 1028/47*c_0101_6^8 - 791/47*c_0101_6^7 + 1841/47*c_0101_6^6 - 959/47*c_0101_6^5 - 1439/47*c_0101_6^4 + 1578/47*c_0101_6^3 - 46/47*c_0101_6^2 - 371/47*c_0101_6 + 161/47, c_0101_2 - 442/235*c_0101_6^10 - 813/235*c_0101_6^9 + 2852/235*c_0101_6^8 + 1954/235*c_0101_6^7 - 4908/235*c_0101_6^6 + 691/47*c_0101_6^5 + 3339/235*c_0101_6^4 - 4697/235*c_0101_6^3 + 914/235*c_0101_6^2 + 669/235*c_0101_6 - 614/235, c_0101_6^11 + c_0101_6^10 - 8*c_0101_6^9 + c_0101_6^8 + 15*c_0101_6^7 - 17*c_0101_6^6 - 2*c_0101_6^5 + 17*c_0101_6^4 - 10*c_0101_6^3 - c_0101_6^2 + 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB