Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3549581104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0588 geometric_solution 4.60497256 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 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 1 -1 1 0 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 2.927973740474 5.183807371209 0 1 0 1 0132 1302 2310 2031 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 -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 -0.395217384970 0.288276427023 3 4 5 0 1302 0132 0132 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.175759035473 0.698324254593 5 2 0 4 1230 2031 0132 1302 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 -1 1 0 -1 0 1 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 -0.175759035473 0.698324254593 6 2 3 6 0132 0132 2031 3201 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 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 -0.137017472757 0.869916556089 6 3 6 2 2103 3012 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 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 0.554760780126 0.424439904279 4 4 5 5 0132 2310 2103 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.176676233904 1.121707894974 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0011_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 537/152*c_0101_0*c_0101_5^7 - 2621/304*c_0101_0*c_0101_5^6 - 3257/152*c_0101_0*c_0101_5^5 - 23363/304*c_0101_0*c_0101_5^4 - 12645/304*c_0101_0*c_0101_5^3 - 4386/19*c_0101_0*c_0101_5^2 - 1717/76*c_0101_0*c_0101_5 - 8939/38*c_0101_0, c_0011_0 - 1, c_0011_2 + 1/8*c_0101_0*c_0101_5^6 + 1/4*c_0101_0*c_0101_5^5 + 5/8*c_0101_0*c_0101_5^4 + 19/8*c_0101_0*c_0101_5^3 - 3/4*c_0101_0*c_0101_5^2 + 11/2*c_0101_0*c_0101_5 - 3*c_0101_0, c_0011_3 - 1/8*c_0101_0*c_0101_5^6 - 1/4*c_0101_0*c_0101_5^5 - 5/8*c_0101_0*c_0101_5^4 - 19/8*c_0101_0*c_0101_5^3 + 3/4*c_0101_0*c_0101_5^2 - 11/2*c_0101_0*c_0101_5 + 3*c_0101_0, c_0011_5 + 1/16*c_0101_5^7 + 1/8*c_0101_5^6 + 1/16*c_0101_5^5 + 11/16*c_0101_5^4 - 1/8*c_0101_5^3 + c_0101_5^2, c_0101_0^2 + 1/16*c_0101_5^7 + 1/8*c_0101_5^6 + 1/16*c_0101_5^5 + 11/16*c_0101_5^4 - 1/8*c_0101_5^3 + c_0101_5^2 - 1, c_0101_4 + 1/4*c_0101_5^6 + 1/2*c_0101_5^5 + 3/4*c_0101_5^4 + 15/4*c_0101_5^3 - c_0101_5^2 + 13/2*c_0101_5 - 4, c_0101_5^8 + 2*c_0101_5^7 + 5*c_0101_5^6 + 19*c_0101_5^5 + 2*c_0101_5^4 + 60*c_0101_5^3 - 24*c_0101_5^2 + 64*c_0101_5 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB