Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 981182197] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0329 geometric_solution 4.35978253 oriented_manifold CS_known -0.0000000000000001 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 1.631544232635 0.069830574536 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 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 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.615860609564 0.235174620143 3 1 1 4 0132 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 0 0 0 1 0 -1 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 -0.452932214211 0.840635336233 2 4 6 5 0132 2310 0132 0132 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 -1 0 1 -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 0.307751911507 0.396439356015 5 6 2 3 3120 3012 0132 3201 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307751911507 0.396439356015 6 6 3 4 1302 0213 0132 3120 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 -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 0.579144243417 0.429986782122 4 5 5 3 1230 2031 0213 0132 0 0 0 0 0 1 -1 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 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 1.162558626653 1.187781882709 ==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' : 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' : negation(d['c_0011_4']), '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' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], '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' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_6']), '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_0011_5, c_0011_6, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4266690640/218660127*c_0110_4^10 + 9005921674/218660127*c_0110_4^9 + 60797133139/218660127*c_0110_4^8 + 83790977843/218660127*c_0110_4^7 + 227946377608/218660127*c_0110_4^6 + 202945763620/218660127*c_0110_4^5 + 444815414089/218660127*c_0110_4^4 + 155183529724/218660127*c_0110_4^3 + 43676788616/72886709*c_0110_4^2 + 22102962311/218660127*c_0110_4 - 1337915713/31237161, c_0011_0 - 1, c_0011_1 - 18611596/72886709*c_0110_4^10 - 39082555/72886709*c_0110_4^9 - 261218618/72886709*c_0110_4^8 - 50723890/10412387*c_0110_4^7 - 942504954/72886709*c_0110_4^6 - 807113833/72886709*c_0110_4^5 - 1773299622/72886709*c_0110_4^4 - 506133468/72886709*c_0110_4^3 - 292402370/72886709*c_0110_4^2 - 5531133/10412387*c_0110_4 + 29728145/72886709, c_0011_4 + 2772193/72886709*c_0110_4^10 + 2241560/72886709*c_0110_4^9 + 32905023/72886709*c_0110_4^8 + 958380/10412387*c_0110_4^7 + 92963074/72886709*c_0110_4^6 - 27406534/72886709*c_0110_4^5 + 174875663/72886709*c_0110_4^4 - 229313603/72886709*c_0110_4^3 + 62268569/72886709*c_0110_4^2 - 7565171/10412387*c_0110_4 - 10996903/72886709, c_0011_5 - c_0110_4, c_0011_6 + 709787/72886709*c_0110_4^10 + 4714953/72886709*c_0110_4^9 + 17734753/72886709*c_0110_4^8 + 8743454/10412387*c_0110_4^7 + 112222392/72886709*c_0110_4^6 + 213930421/72886709*c_0110_4^5 + 261629586/72886709*c_0110_4^4 + 353345942/72886709*c_0110_4^3 + 172818504/72886709*c_0110_4^2 + 13150503/10412387*c_0110_4 - 23022848/72886709, c_0101_0 - 13669711/72886709*c_0110_4^10 - 29165082/72886709*c_0110_4^9 - 194546526/72886709*c_0110_4^8 - 38821120/10412387*c_0110_4^7 - 723945465/72886709*c_0110_4^6 - 658307505/72886709*c_0110_4^5 - 1386092182/72886709*c_0110_4^4 - 508021159/72886709*c_0110_4^3 - 301777338/72886709*c_0110_4^2 - 9870726/10412387*c_0110_4 + 75355201/72886709, c_0110_4^11 + 2*c_0110_4^10 + 14*c_0110_4^9 + 18*c_0110_4^8 + 51*c_0110_4^7 + 41*c_0110_4^6 + 98*c_0110_4^5 + 23*c_0110_4^4 + 25*c_0110_4^3 - c_0110_4^2 - 2*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB