Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 189437895] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1621 geometric_solution 5.37633141 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 1.499643861935 0.243923255987 0 2 2 0 3201 0132 1023 0132 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 1 -1 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 1.132223120800 0.340775799075 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 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 0.684589026348 0.424725013764 2 5 6 4 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.520994957141 0.414843327428 6 3 2 5 1023 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.520994957141 0.414843327428 5 3 5 4 2031 0132 1302 1023 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825346430516 0.935320368577 6 4 6 3 2310 1023 3201 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 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 0.825346430516 0.935320368577 ==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' : 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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 233/8*c_0101_2*c_0110_4 - 987/4*c_0101_2, c_0011_0 - 1, c_0011_1 - 1/4*c_0110_4 - 1/2, c_0011_4 - 1/4*c_0101_2*c_0110_4 - 1/2*c_0101_2, c_0101_0 - 1/4*c_0101_2*c_0110_4 - 5/2*c_0101_2, c_0101_2^2 - 1/2*c_0110_4, c_0101_3 + 3/4*c_0110_4 - 1/2, c_0110_4^2 + 8*c_0110_4 - 4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 540693/131072*c_0101_2*c_0110_4^6 + 3147629/131072*c_0101_2*c_0110_4^5 - 4679903/32768*c_0101_2*c_0110_4^4 + 3509987/16384*c_0101_2*c_0110_4^3 - 99157/131072*c_0101_2*c_0110_4^2 - 3684725/32768*c_0101_2*c_0110_4 + 1336323/32768*c_0101_2, c_0011_0 - 1, c_0011_1 - 85/256*c_0110_4^6 + 509/256*c_0110_4^5 - 763/64*c_0110_4^4 + 631/32*c_0110_4^3 - 1621/256*c_0110_4^2 - 321/64*c_0110_4 + 171/64, c_0011_4 - 557/2048*c_0101_2*c_0110_4^6 + 3653/2048*c_0101_2*c_0110_4^5 - 5447/512*c_0101_2*c_0110_4^4 + 5483/256*c_0101_2*c_0110_4^3 - 25965/2048*c_0101_2*c_0110_4^2 - 1581/512*c_0101_2*c_0110_4 + 2027/512*c_0101_2, c_0101_0 - 91/512*c_0101_2*c_0110_4^6 + 547/512*c_0101_2*c_0110_4^5 - 809/128*c_0101_2*c_0110_4^4 + 661/64*c_0101_2*c_0110_4^3 - 667/512*c_0101_2*c_0110_4^2 - 403/128*c_0101_2*c_0110_4 - 35/128*c_0101_2, c_0101_2^2 + 45/256*c_0110_4^6 - 293/256*c_0110_4^5 + 431/64*c_0110_4^4 - 419/32*c_0110_4^3 + 1261/256*c_0110_4^2 + 181/64*c_0110_4 - 155/64, c_0101_3 - 85/256*c_0110_4^6 + 509/256*c_0110_4^5 - 763/64*c_0110_4^4 + 631/32*c_0110_4^3 - 1621/256*c_0110_4^2 - 257/64*c_0110_4 + 171/64, c_0110_4^7 - 7*c_0110_4^6 + 42*c_0110_4^5 - 96*c_0110_4^4 + 81*c_0110_4^3 - 10*c_0110_4^2 - 20*c_0110_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB