Magma V2.19-8 Tue Aug 20 2013 16:14:49 on localhost [Seed = 374835833] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s791 geometric_solution 5.33534101 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 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 -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 0.821305221389 0.924015178969 0 4 3 2 0132 0132 3012 1302 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436231625745 0.675914341429 4 0 1 3 3201 0132 2031 3012 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 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 0.436231625745 0.675914341429 0 1 2 0 3201 1230 1230 0132 0 0 0 0 0 -1 0 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 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 0.809166149416 0.843604631390 5 1 5 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 -1 0 0 1 1 -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 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 0.439461794349 1.942914529761 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 1 0 -1 1 0 -1 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 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 0.231126947225 0.214012896911 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(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_0']), 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : 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_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : 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_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: 18 Groebner basis: [ t + 930915/8272*c_0101_4^8 + 332163/2068*c_0101_4^7 - 455251/4136*c_0101_4^6 - 1964847/8272*c_0101_4^5 + 6403/8272*c_0101_4^4 + 1539/8*c_0101_4^3 + 369033/8272*c_0101_4^2 - 907395/8272*c_0101_4 + 232361/8272, c_0011_0 - 1, c_0011_3 - 9*c_0101_4^8 - 9*c_0101_4^7 + 14*c_0101_4^6 + 15*c_0101_4^5 - 8*c_0101_4^4 - 15*c_0101_4^3 + 3*c_0101_4^2 + 11*c_0101_4 - 5, c_0101_0 + 5661/47*c_0101_2*c_0101_4^8 + 8235/47*c_0101_2*c_0101_4^7 - 5143/47*c_0101_2*c_0101_4^6 - 11873/47*c_0101_2*c_0101_4^5 - 322/47*c_0101_2*c_0101_4^4 + 200*c_0101_2*c_0101_4^3 + 2437/47*c_0101_2*c_0101_4^2 - 5221/47*c_0101_2*c_0101_4 + 1350/47*c_0101_2, c_0101_1 - 3915/47*c_0101_4^8 - 5913/47*c_0101_4^7 + 3084/47*c_0101_4^6 + 8166/47*c_0101_4^5 + 716/47*c_0101_4^4 - 132*c_0101_4^3 - 1844/47*c_0101_4^2 + 3418/47*c_0101_4 - 853/47, c_0101_2^2 - c_0101_4^2 - c_0101_4, c_0101_4^9 + c_0101_4^8 - 14/9*c_0101_4^7 - 5/3*c_0101_4^6 + 8/9*c_0101_4^5 + 5/3*c_0101_4^4 - 1/3*c_0101_4^3 - 10/9*c_0101_4^2 + 2/3*c_0101_4 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB