Magma V2.19-8 Tue Aug 20 2013 16:18:31 on localhost [Seed = 4223297222] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2708 geometric_solution 5.95812084 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1302 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 -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 0.570167539262 0.607032046263 0 4 3 5 0132 0132 3012 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776931295541 1.097223307260 0 0 4 5 2031 0132 1230 3201 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 1 0 -1 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 0.177934166929 0.875216967731 3 1 0 3 3012 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.177934166929 0.875216967731 6 1 5 2 0132 0132 0132 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 1.189528169509 0.732951683531 6 2 1 4 1302 2310 0132 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 -1 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 -0.259086347465 0.408727766221 4 5 6 6 0132 2031 1230 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 0.740913652535 0.408727766221 ==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' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(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' : d['c_0101_4'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_0110_2']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_5, c_0101_1, c_0101_4, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 10027143/9394810*c_0110_2*c_1001_2^10 - 47677703/7515848*c_0110_2*c_1001_2^8 + 315632899/37579240*c_0110_2*c_1001_2^6 - 1202598133/37579240*c_0110_2*c_1001_2^4 + 28450914/4697405*c_0110_2*c_1001_2^2 - 60093541/37579240*c_0110_2, c_0011_0 - 1, c_0011_3 - 537044/4697405*c_1001_2^11 + 675801/939481*c_1001_2^9 - 5083118/4697405*c_1001_2^7 + 16377681/4697405*c_1001_2^5 - 8768624/4697405*c_1001_2^3 - 4532773/4697405*c_1001_2, c_0011_5 - 537044/4697405*c_0110_2*c_1001_2^11 + 675801/939481*c_0110_2*c_1001_2^9 - 5083118/4697405*c_0110_2*c_1001_2^7 + 16377681/4697405*c_0110_2*c_1001_2^5 - 8768624/4697405*c_0110_2*c_1001_2^3 + 164632/4697405*c_0110_2*c_1001_2, c_0101_1 + 640384/4697405*c_0110_2*c_1001_2^11 - 722040/939481*c_0110_2*c_1001_2^9 + 3569798/4697405*c_0110_2*c_1001_2^7 - 15997046/4697405*c_0110_2*c_1001_2^5 - 4909271/4697405*c_0110_2*c_1001_2^3 + 13246683/4697405*c_0110_2*c_1001_2, c_0101_4 - 4496/939481*c_1001_2^10 - 3760/939481*c_1001_2^8 + 107841/939481*c_1001_2^6 + 169445/939481*c_1001_2^4 - 113483/939481*c_1001_2^2 + 268176/939481, c_0110_2^2 + 4496/939481*c_1001_2^10 + 3760/939481*c_1001_2^8 - 107841/939481*c_1001_2^6 - 169445/939481*c_1001_2^4 - 825998/939481*c_1001_2^2 - 268176/939481, c_1001_2^12 - 25/4*c_1001_2^10 + 19/2*c_1001_2^8 - 63/2*c_1001_2^6 + 59/4*c_1001_2^4 + 3/4*c_1001_2^2 + 25/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB