Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 2547387290] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s533 geometric_solution 4.94462796 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209216839975 1.192542090902 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 -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 -0.142719692668 0.813506411471 3 0 4 1 0132 0132 3201 0132 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 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 -0.142719692668 0.813506411471 2 1 3 3 0132 0132 1230 3012 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209216839975 1.192542090902 2 5 1 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 -1 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 0.640822919005 1.667376944451 4 4 5 5 3201 0132 2031 1302 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 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 0.425531975558 0.173183293994 ==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' : negation(d['1']), 's_2_0' : negation(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_0101_2'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 25348384/500293*c_0110_5^7 + 19633200/500293*c_0110_5^6 + 102034384/500293*c_0110_5^5 - 150507888/500293*c_0110_5^4 + 76465226/500293*c_0110_5^3 + 24014253/500293*c_0110_5^2 + 1735583/500293*c_0110_5 - 5849442/500293, c_0011_0 - 1, c_0011_4 - 24784/29429*c_0110_5^7 + 16528/29429*c_0110_5^6 + 130784/29429*c_0110_5^5 - 151656/29429*c_0110_5^4 - 64399/29429*c_0110_5^3 + 180659/29429*c_0110_5^2 - 39714/29429*c_0110_5 - 39269/29429, c_0101_0 + 120368/29429*c_0110_5^7 - 69024/29429*c_0110_5^6 - 521336/29429*c_0110_5^5 + 632432/29429*c_0110_5^4 - 151525/29429*c_0110_5^3 - 292718/29429*c_0110_5^2 + 49533/29429*c_0110_5 + 14656/29429, c_0101_1 + 130640/29429*c_0110_5^7 - 108400/29429*c_0110_5^6 - 529336/29429*c_0110_5^5 + 805480/29429*c_0110_5^4 - 406319/29429*c_0110_5^3 - 133625/29429*c_0110_5^2 + 35120/29429*c_0110_5 + 23085/29429, c_0101_2 - 120368/29429*c_0110_5^7 + 69024/29429*c_0110_5^6 + 521336/29429*c_0110_5^5 - 632432/29429*c_0110_5^4 + 151525/29429*c_0110_5^3 + 292718/29429*c_0110_5^2 - 49533/29429*c_0110_5 - 44085/29429, c_0110_5^8 - c_0110_5^7 - 4*c_0110_5^6 + 7*c_0110_5^5 - 61/16*c_0110_5^4 - 21/16*c_0110_5^3 + 15/16*c_0110_5^2 + 3/16*c_0110_5 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB