Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 2598045258] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1413 geometric_solution 5.25138604 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -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 0.537567556093 0.294685228524 2 0 3 0 0132 2310 0132 0132 0 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 -1 1 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 1.032040120046 0.489431082176 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 -1 1 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 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 0.953695420300 0.781732410961 5 2 4 1 0132 1230 1023 0132 0 0 0 0 0 -1 0 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 -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 0.953695420300 0.781732410961 4 2 3 4 3201 0132 1023 2310 0 0 0 0 0 1 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 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 -0.171800051968 0.890342423932 3 6 2 6 0132 0132 0132 2310 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 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 1.763194373998 0.305921749401 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541040968410 0.411086965265 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], '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_1'], 'c_0011_6' : d['c_0011_3'], '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), '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_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3313293/25061*c_0110_6^8 + 53626415/50122*c_0110_6^7 - 290058957/50122*c_0110_6^6 + 823292545/50122*c_0110_6^5 - 611364801/25061*c_0110_6^4 + 1047098689/50122*c_0110_6^3 - 582979789/50122*c_0110_6^2 + 203148303/50122*c_0110_6 - 30660827/50122, c_0011_0 - 1, c_0011_1 + 503/1319*c_0110_6^8 - 4109/1319*c_0110_6^7 + 21833/1319*c_0110_6^6 - 61026/1319*c_0110_6^5 + 81643/1319*c_0110_6^4 - 54342/1319*c_0110_6^3 + 22946/1319*c_0110_6^2 - 2935/1319*c_0110_6 - 1927/1319, c_0011_3 - 3194/1319*c_0101_3*c_0110_6^8 + 22966/1319*c_0101_3*c_0110_6^7 - 118737/1319*c_0101_3*c_0110_6^6 + 286578/1319*c_0101_3*c_0110_6^5 - 313917/1319*c_0101_3*c_0110_6^4 + 170405/1319*c_0101_3*c_0110_6^3 - 52242/1319*c_0101_3*c_0110_6^2 - 3946/1319*c_0101_3*c_0110_6 + 7448/1319*c_0101_3, c_0101_0 + 1298/1319*c_0110_6^8 - 8655/1319*c_0110_6^7 + 44278/1319*c_0110_6^6 - 96684/1319*c_0110_6^5 + 94145/1319*c_0110_6^4 - 52888/1319*c_0110_6^3 + 21840/1319*c_0110_6^2 - 2602/1319*c_0110_6 - 326/1319, c_0101_1 + 2586/1319*c_0110_6^8 - 18605/1319*c_0110_6^7 + 96702/1319*c_0110_6^6 - 235451/1319*c_0110_6^5 + 270367/1319*c_0110_6^4 - 168144/1319*c_0110_6^3 + 64632/1319*c_0110_6^2 - 6129/1319*c_0110_6 - 3194/1319, c_0101_3^2 - 32773/80459*c_0110_6^8 + 239837/80459*c_0110_6^7 - 1251669/80459*c_0110_6^6 + 3116910/80459*c_0110_6^5 - 3697657/80459*c_0110_6^4 + 2365947/80459*c_0110_6^3 - 963229/80459*c_0110_6^2 + 85954/80459*c_0110_6 + 55833/80459, c_0110_6^9 - 8*c_0110_6^8 + 43*c_0110_6^7 - 120*c_0110_6^6 + 172*c_0110_6^5 - 138*c_0110_6^4 + 69*c_0110_6^3 - 19*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB