Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 745385985] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s197 geometric_solution 4.31261786 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 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 1 0 -1 -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 0.655306654942 0.618034622701 3 2 2 0 0132 3012 1230 0132 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 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 1.192368969395 0.761695208675 1 3 0 1 1230 3201 0132 3012 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 -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 1.192368969395 0.761695208675 1 4 2 4 0132 0132 2310 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.175637760974 0.525995714627 5 3 5 3 0132 0132 1023 1023 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 0.835485086607 0.251317500177 4 5 4 5 0132 2310 1023 3201 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 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 0.832953084522 0.133350795468 ==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_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_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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2638196078/333614753*c_0101_5^11 + 15166165820/333614753*c_0101_5^10 + 1471920572/11503957*c_0101_5^9 + 82883264053/333614753*c_0101_5^8 + 30690884114/333614753*c_0101_5^7 + 11187988692/333614753*c_0101_5^6 - 58643635386/333614753*c_0101_5^5 - 4531710281/11503957*c_0101_5^4 + 138829109472/333614753*c_0101_5^3 - 62938491230/333614753*c_0101_5^2 + 10376329854/333614753*c_0101_5 - 3241753141/333614753, c_0011_0 - 1, c_0011_1 - 305190236/333614753*c_0101_5^11 - 1658093651/333614753*c_0101_5^10 - 150145271/11503957*c_0101_5^9 - 7843177102/333614753*c_0101_5^8 + 51630173/333614753*c_0101_5^7 + 1064526507/333614753*c_0101_5^6 + 8228470896/333614753*c_0101_5^5 + 479776515/11503957*c_0101_5^4 - 20772200613/333614753*c_0101_5^3 + 11092308740/333614753*c_0101_5^2 - 2510069781/333614753*c_0101_5 + 292783787/333614753, c_0101_1 + 107620833/333614753*c_0101_5^11 + 580803900/333614753*c_0101_5^10 + 52531613/11503957*c_0101_5^9 + 2754521388/333614753*c_0101_5^8 - 21863244/333614753*c_0101_5^7 - 242736610/333614753*c_0101_5^6 - 3081979397/333614753*c_0101_5^5 - 168821579/11503957*c_0101_5^4 + 7397977395/333614753*c_0101_5^3 - 4286130288/333614753*c_0101_5^2 + 1833596975/333614753*c_0101_5 - 501734721/333614753, c_0101_2 + 201195368/333614753*c_0101_5^11 + 997137190/333614753*c_0101_5^10 + 80386372/11503957*c_0101_5^9 + 3710606933/333614753*c_0101_5^8 - 2714362603/333614753*c_0101_5^7 - 1006285729/333614753*c_0101_5^6 - 4758271365/333614753*c_0101_5^5 - 213627520/11503957*c_0101_5^4 + 18833236715/333614753*c_0101_5^3 - 13278357577/333614753*c_0101_5^2 + 3466396429/333614753*c_0101_5 - 385591987/333614753, c_0101_4 - 177458415/333614753*c_0101_5^11 - 985921699/333614753*c_0101_5^10 - 92106628/11503957*c_0101_5^9 - 4992001501/333614753*c_0101_5^8 - 870588597/333614753*c_0101_5^7 - 46149437/333614753*c_0101_5^6 + 4581937333/333614753*c_0101_5^5 + 294713917/11503957*c_0101_5^4 - 10742107277/333614753*c_0101_5^3 + 5971780015/333614753*c_0101_5^2 - 1853784593/333614753*c_0101_5 + 515832993/333614753, c_0101_5^12 + 5*c_0101_5^11 + 12*c_0101_5^10 + 20*c_0101_5^9 - 10*c_0101_5^8 - c_0101_5^7 - 25*c_0101_5^6 - 34*c_0101_5^5 + 86*c_0101_5^4 - 70*c_0101_5^3 + 29*c_0101_5^2 - 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB