Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 1065263898] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s117 geometric_solution 4.05578841 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 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 0 0 0 0 0 0.910762491734 0.753071553798 3 2 2 0 0132 3012 1230 0132 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 -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 1.157337631849 0.679607706037 1 3 0 1 1230 3201 0132 3012 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 1 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 1.157337631849 0.679607706037 1 4 2 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085044893720 0.461999651459 5 3 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753605995985 0.213567955752 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640631782489 0.083300103110 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(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_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' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_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_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_1']), '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_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 557185471213/400248672680*c_0101_5^9 - 544279026797/100062168170*c_0101_5^8 - 5852993015073/400248672680*c_0101_5^7 - 20298912860509/400248672680*c_0101_5^6 - 57295541864569/400248672680*c_0101_5^5 - 42426352809257/400248672680*c_0101_5^4 - 50555598789967/400248672680*c_0101_5^3 + 13182781043869/200124336340*c_0101_5^2 - 20915832150431/400248672680*c_0101_5 + 542879430769/400248672680, c_0011_0 - 1, c_0011_1 + 528391852/10006216817*c_0101_5^9 - 1861145633/10006216817*c_0101_5^8 - 6287244879/10006216817*c_0101_5^7 - 21519055925/10006216817*c_0101_5^6 - 62800514062/10006216817*c_0101_5^5 - 63927897161/10006216817*c_0101_5^4 - 72957056145/10006216817*c_0101_5^3 - 4144559583/10006216817*c_0101_5^2 - 16060703705/10006216817*c_0101_5 - 5748563944/10006216817, c_0101_0 + 592141323/10006216817*c_0101_5^9 - 1828949783/10006216817*c_0101_5^8 - 8060220724/10006216817*c_0101_5^7 - 26816550088/10006216817*c_0101_5^6 - 79328989647/10006216817*c_0101_5^5 - 97954018700/10006216817*c_0101_5^4 - 96827798689/10006216817*c_0101_5^3 - 24693315689/10006216817*c_0101_5^2 - 3863974944/10006216817*c_0101_5 - 9575120899/10006216817, c_0101_1 + 622329763/10006216817*c_0101_5^9 - 2485419267/10006216817*c_0101_5^8 - 6483369935/10006216817*c_0101_5^7 - 21552357464/10006216817*c_0101_5^6 - 59968339645/10006216817*c_0101_5^5 - 36529785411/10006216817*c_0101_5^4 - 36543846825/10006216817*c_0101_5^3 + 45753987864/10006216817*c_0101_5^2 - 19149165172/10006216817*c_0101_5 - 927576496/10006216817, c_0101_4 - 142981628/10006216817*c_0101_5^9 + 639575768/10006216817*c_0101_5^8 + 1201939825/10006216817*c_0101_5^7 + 4225876767/10006216817*c_0101_5^6 + 12030616683/10006216817*c_0101_5^5 + 2044159156/10006216817*c_0101_5^4 + 5195859345/10006216817*c_0101_5^3 - 11025144493/10006216817*c_0101_5^2 + 3924828009/10006216817*c_0101_5 + 4381349746/10006216817, c_0101_5^10 - 4*c_0101_5^9 - 10*c_0101_5^8 - 36*c_0101_5^7 - 101*c_0101_5^6 - 72*c_0101_5^5 - 99*c_0101_5^4 + 43*c_0101_5^3 - 57*c_0101_5^2 + 9*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB