Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 3381154982] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3115 geometric_solution 6.27075586 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 1 0132 0132 3120 2103 0 1 0 0 0 0 1 -1 0 0 1 -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 0 1 1 -2 -1 0 1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566281409777 0.487102218538 0 3 0 0 0132 0132 3120 2103 0 1 0 0 0 0 0 0 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 -1 1 0 1 0 -1 0 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566281409777 0.487102218538 3 0 5 4 0213 0132 0132 0132 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 -1 1 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 0.579689549631 0.622023240600 2 1 5 4 0213 0132 3201 3201 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 1 -1 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 0.579689549631 0.622023240600 4 3 2 4 3201 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739167033877 0.712886454980 3 6 6 2 2310 0132 1023 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 1 0 -1 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 0.275356603656 0.629341028950 6 5 5 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.538605334647 0.642042013306 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : d['c_0101_6'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 27420/73367*c_1001_0^8 + 942855/146734*c_1001_0^7 - 3249500/73367*c_1001_0^6 + 11725431/73367*c_1001_0^5 - 24298668/73367*c_1001_0^4 + 29192560/73367*c_1001_0^3 - 18071297/73367*c_1001_0^2 + 2436688/73367*c_1001_0 + 6142869/146734, c_0011_0 - 1, c_0011_4 - 1173/20962*c_1001_0^8 + 17309/20962*c_1001_0^7 - 47729/10481*c_1001_0^6 + 125900/10481*c_1001_0^5 - 177769/10481*c_1001_0^4 + 143045/10481*c_1001_0^3 - 40636/10481*c_1001_0^2 - 5511/20962*c_1001_0 + 10495/20962, c_0101_0 - 1, c_0101_4 + 2890/10481*c_1001_0^8 - 87873/20962*c_1001_0^7 + 253718/10481*c_1001_0^6 - 715921/10481*c_1001_0^5 + 1094849/10481*c_1001_0^4 - 958530/10481*c_1001_0^3 + 395425/10481*c_1001_0^2 - 15131/10481*c_1001_0 - 50955/20962, c_0101_5 - c_1001_0 + 1, c_0101_6 - 32/223*c_1001_0^8 + 476/223*c_1001_0^7 - 5329/446*c_1001_0^6 + 14393/446*c_1001_0^5 - 20869/446*c_1001_0^4 + 17473/446*c_1001_0^3 - 7131/446*c_1001_0^2 + 1201/446*c_1001_0 - 23/446, c_1001_0^9 - 16*c_1001_0^8 + 100*c_1001_0^7 - 319*c_1001_0^6 + 583*c_1001_0^5 - 649*c_1001_0^4 + 419*c_1001_0^3 - 128*c_1001_0^2 + c_1001_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB