Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 526287821] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1336 geometric_solution 5.21316708 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.615002095962 0.698008797735 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429124891405 0.050154269715 0 0 4 3 3201 0132 0132 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 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 0.684087031504 3.480831215956 4 4 2 5 1023 2031 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 0.245869718981 0.685919989965 3 3 6 2 1302 1023 0132 0132 0 0 0 0 0 1 0 -1 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 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 0.245869718981 0.685919989965 6 6 3 6 1230 2031 0132 0132 0 0 1 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245869718981 0.685919989965 5 5 5 4 1302 3012 0132 0132 0 0 0 1 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 0 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 0.245869718981 0.685919989965 ==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' : d['c_1100_2'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_0, c_0101_1, c_0101_3, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 21134535713/24287377624*c_1100_2^7 - 63611015237/12143688812*c_1100_2^6 + 84239418439/6071844406*c_1100_2^5 + 130998508395/6071844406*c_1100_2^4 - 648832892347/24287377624*c_1100_2^3 - 1447063736719/12143688812*c_1100_2^2 + 2200573982789/24287377624*c_1100_2 - 834021683733/24287377624, c_0011_0 - 1, c_0011_3 + 408609/148093766*c_1100_2^7 + 524483/74046883*c_1100_2^6 - 7826587/74046883*c_1100_2^5 + 2992194/74046883*c_1100_2^4 + 38416533/148093766*c_1100_2^3 + 16017334/74046883*c_1100_2^2 - 270671271/148093766*c_1100_2 + 106455833/148093766, c_0011_5 - 1, c_0101_0 + 3481775/148093766*c_1100_2^7 + 9771732/74046883*c_1100_2^6 - 33423239/74046883*c_1100_2^5 - 41767136/74046883*c_1100_2^4 + 169643429/148093766*c_1100_2^3 + 270657076/74046883*c_1100_2^2 - 556739509/148093766*c_1100_2 + 16784581/148093766, c_0101_1 - 203510/4355699*c_1100_2^7 - 1202540/4355699*c_1100_2^6 + 3386897/4355699*c_1100_2^5 + 4657961/4355699*c_1100_2^4 - 7435833/4355699*c_1100_2^3 - 26688420/4355699*c_1100_2^2 + 27660771/4355699*c_1100_2 - 7209424/4355699, c_0101_3 - 408609/148093766*c_1100_2^7 - 524483/74046883*c_1100_2^6 + 7826587/74046883*c_1100_2^5 - 2992194/74046883*c_1100_2^4 - 38416533/148093766*c_1100_2^3 - 16017334/74046883*c_1100_2^2 + 122577505/148093766*c_1100_2 - 106455833/148093766, c_1100_2^8 + 5*c_1100_2^7 - 22*c_1100_2^6 - 8*c_1100_2^5 + 55*c_1100_2^4 + 103*c_1100_2^3 - 243*c_1100_2^2 + 158*c_1100_2 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB