Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 3153733556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s556 geometric_solution 4.98873976 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 3201 0132 3201 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 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 0.403297798002 0.253433493450 0 3 0 3 0132 0132 2310 2310 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.777600389174 1.117049185039 4 0 5 0 0132 2310 0132 0132 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 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 0.819101812824 0.863615691589 1 1 4 5 3201 0132 3012 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232350835114 1.109252836034 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -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 0 0 0 -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 1.231349948108 1.119826284405 5 5 3 2 1302 2031 1230 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 -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 0.507790043358 1.217708661791 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3503/11452*c_0101_2^10 + 22679/8589*c_0101_2^9 - 24683/34356*c_0101_2^8 + 1604/2863*c_0101_2^7 - 66503/4908*c_0101_2^6 - 451193/34356*c_0101_2^5 - 200239/11452*c_0101_2^4 + 102589/34356*c_0101_2^3 + 222986/8589*c_0101_2^2 - 884285/34356*c_0101_2 + 418931/34356, c_0011_0 - 1, c_0011_2 + 1154/1227*c_0101_2^10 - 362/1227*c_0101_2^9 + 295/409*c_0101_2^8 - 5057/1227*c_0101_2^7 - 4748/1227*c_0101_2^6 - 2601/409*c_0101_2^5 - 1127/1227*c_0101_2^4 + 10724/1227*c_0101_2^3 - 11927/1227*c_0101_2^2 + 4709/1227*c_0101_2 - 283/409, c_0011_5 + 729/818*c_0101_2^10 - 634/1227*c_0101_2^9 + 1769/2454*c_0101_2^8 - 1668/409*c_0101_2^7 - 6379/2454*c_0101_2^6 - 11485/2454*c_0101_2^5 + 699/818*c_0101_2^4 + 21233/2454*c_0101_2^3 - 15052/1227*c_0101_2^2 + 12461/2454*c_0101_2 - 3419/2454, c_0101_0 + 295/409*c_0101_2^10 - 172/1227*c_0101_2^9 + 538/1227*c_0101_2^8 - 1286/409*c_0101_2^7 - 4136/1227*c_0101_2^6 - 6044/1227*c_0101_2^5 - 180/409*c_0101_2^4 + 9739/1227*c_0101_2^3 - 7660/1227*c_0101_2^2 + 1729/1227*c_0101_2 - 487/1227, c_0101_1 - 1, c_0101_2^11 - c_0101_2^10 + c_0101_2^9 - 5*c_0101_2^8 - c_0101_2^7 - 4*c_0101_2^6 + 4*c_0101_2^5 + 10*c_0101_2^4 - 17*c_0101_2^3 + 11*c_0101_2^2 - 4*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB