Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 728414005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s656 geometric_solution 5.15029961 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 0.255367112547 0.236184016214 2 0 3 0 0132 2310 0132 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634078059974 1.715826603405 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017809487603 0.926738590181 5 4 2 1 1023 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0.017809487603 0.926738590181 4 4 3 2 1302 2031 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449688563301 0.526705716646 5 3 2 5 3012 1023 0132 1230 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 -1 0 1 -1 0 0 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 1.062443150682 1.098130111631 ==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' : 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_3'], 'c_1100_4' : d['c_0011_3'], '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_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], '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_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), '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_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 651496224123/53109293503*c_0101_1^9 + 27761943408/53109293503*c_0101_1^8 - 1928984796961/53109293503*c_0101_1^7 + 19639676033268/53109293503*c_0101_1^6 + 75471535170413/53109293503*c_0101_1^5 + 90488173385901/53109293503*c_0101_1^4 - 180508989968/53109293503*c_0101_1^3 - 310818458246/7587041929*c_0101_1^2 + 28851235961286/53109293503*c_0101_1 - 15642968332233/53109293503, c_0011_0 - 1, c_0011_1 - 918418/128593931*c_0101_1^9 + 1049596/128593931*c_0101_1^8 - 3619284/128593931*c_0101_1^7 + 30773058/128593931*c_0101_1^6 + 74846867/128593931*c_0101_1^5 + 36194245/128593931*c_0101_1^4 - 36801189/128593931*c_0101_1^3 + 58105220/128593931*c_0101_1^2 - 73210846/128593931*c_0101_1 - 78753872/128593931, c_0011_3 - 726601616/7587041929*c_0011_4*c_0101_1^9 - 93383619/7587041929*c_0011_4*c_0101_1^8 - 2259658370/7587041929*c_0011_4*c_0101_1^7 + 21660010189/7587041929*c_0011_4*c_0101_1^6 + 87501235940/7587041929*c_0011_4*c_0101_1^5 + 119126582868/7587041929*c_0011_4*c_0101_1^4 + 26613302546/7587041929*c_0011_4*c_0101_1^3 + 660970153/7587041929*c_0011_4*c_0101_1^2 + 27509881279/7587041929*c_0011_4*c_0101_1 - 9216655029/7587041929*c_0011_4, c_0011_4^2 + 342572237/15174083858*c_0101_1^9 - 152573129/15174083858*c_0101_1^8 + 656232914/7587041929*c_0101_1^7 - 5504740315/7587041929*c_0101_1^6 - 34554489849/15174083858*c_0101_1^5 - 20726812758/7587041929*c_0101_1^4 - 6646669981/15174083858*c_0101_1^3 - 8706964222/7587041929*c_0101_1^2 + 238918182/7587041929*c_0101_1 - 2666074193/15174083858, c_0101_0 - 492402703/7587041929*c_0101_1^9 - 122104420/7587041929*c_0101_1^8 - 1374268054/7587041929*c_0101_1^7 + 14281750403/7587041929*c_0101_1^6 + 61778676397/7587041929*c_0101_1^5 + 81943878262/7587041929*c_0101_1^4 + 15624092263/7587041929*c_0101_1^3 - 2309500402/7587041929*c_0101_1^2 + 26935879744/7587041929*c_0101_1 - 6001602260/7587041929, c_0101_1^10 + 3*c_0101_1^8 - 30*c_0101_1^7 - 117*c_0101_1^6 - 145*c_0101_1^5 - 11*c_0101_1^4 - 5*c_0101_1^3 - 48*c_0101_1^2 + 21*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB