Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 1444399753] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1179 geometric_solution 5.05332149 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.441778389743 0.340238446674 0 2 4 3 0132 3201 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 -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 1.420827510364 1.094259376062 5 4 1 0 0132 1023 2310 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 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 1.420827510364 1.094259376062 5 6 1 6 1230 0132 0132 3120 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 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 0.754070775821 0.720095353821 2 5 6 1 1023 2310 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 -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 0.985745654737 0.296639979365 2 3 6 4 0132 3012 3120 3201 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681501913348 0.205676943873 3 3 5 4 3120 0132 3120 3012 0 0 0 0 0 -1 1 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 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 0.424734655926 1.243648262462 ==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' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : 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' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_4'], '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_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 938*c_0101_1*c_0101_4^6 - 1151/2*c_0101_1*c_0101_4^5 + 1606*c_0101_1*c_0101_4^4 + 3757/2*c_0101_1*c_0101_4^3 - 1709/2*c_0101_1*c_0101_4^2 - 1069/2*c_0101_1*c_0101_4 + 63*c_0101_1, c_0011_0 - 1, c_0011_2 + 4*c_0101_1*c_0101_4^6 + 3*c_0101_1*c_0101_4^5 - 8*c_0101_1*c_0101_4^4 - 10*c_0101_1*c_0101_4^3 + 5*c_0101_1*c_0101_4^2 + 4*c_0101_1*c_0101_4 - c_0101_1, c_0011_3 + 16*c_0101_4^6 + 8*c_0101_4^5 - 31*c_0101_4^4 - 29*c_0101_4^3 + 22*c_0101_4^2 + 10*c_0101_4 - 5, c_0101_0 + 4*c_0101_1*c_0101_4^6 - c_0101_1*c_0101_4^5 - 11*c_0101_1*c_0101_4^4 - 2*c_0101_1*c_0101_4^3 + 15*c_0101_1*c_0101_4^2 + c_0101_1*c_0101_4 - 4*c_0101_1, c_0101_1^2 - 192/11*c_0101_4^6 - 64/11*c_0101_4^5 + 36*c_0101_4^4 + 304/11*c_0101_4^3 - 31*c_0101_4^2 - 112/11*c_0101_4 + 80/11, c_0101_2 - c_0101_4, c_0101_4^7 + 3/4*c_0101_4^6 - 2*c_0101_4^5 - 5/2*c_0101_4^4 + 5/4*c_0101_4^3 + 3/2*c_0101_4^2 - 1/4*c_0101_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB