Magma V2.19-8 Tue Aug 20 2013 23:29:32 on localhost [Seed = 762006337] Type ? for help. Type -D to quit. Loading file "K11n116__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n116 geometric_solution 7.75445376 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -2 1 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 0.533454613818 1.089366407962 0 2 6 5 0132 1302 0132 0132 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 -1 1 0 0 0 0 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624678607413 0.496431644530 6 0 5 1 0132 0132 1230 2031 0 0 0 0 0 -1 0 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 -1 0 1 0 0 0 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371715807814 0.943369432112 7 6 4 0 0132 3120 2031 0132 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 -2 0 2 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452994429586 0.498371353842 5 7 0 3 1230 2310 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.371715807814 0.943369432112 7 4 1 2 2103 3012 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 -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 0.614338489719 0.852124869821 2 3 7 1 0132 3120 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 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 2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658458815411 0.575928980276 3 6 5 4 0132 0213 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.492620294908 0.583377198615 ==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_7' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_7' : negation(d['c_1001_2']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1415499/918764*c_1001_2^7 + 1444953/229691*c_1001_2^6 - 2081793/131252*c_1001_2^5 + 14628547/459382*c_1001_2^4 - 2147163/65626*c_1001_2^3 + 4162362/229691*c_1001_2^2 - 4830929/459382*c_1001_2 - 4719777/918764, c_0011_0 - 1, c_0011_3 - 6/157*c_1001_2^7 + 66/157*c_1001_2^6 - 208/157*c_1001_2^5 + 477/157*c_1001_2^4 - 790/157*c_1001_2^3 + 572/157*c_1001_2^2 - 278/157*c_1001_2 + 44/157, c_0011_4 + 62/157*c_1001_2^7 - 211/157*c_1001_2^6 + 527/157*c_1001_2^5 - 1004/157*c_1001_2^4 + 889/157*c_1001_2^3 - 625/157*c_1001_2^2 + 413/157*c_1001_2 - 36/157, c_0011_5 + 5/157*c_1001_2^7 - 55/157*c_1001_2^6 + 121/157*c_1001_2^5 - 319/157*c_1001_2^4 + 449/157*c_1001_2^3 - 215/157*c_1001_2^2 + 441/157*c_1001_2 + 68/157, c_0101_0 - 48/157*c_1001_2^7 + 214/157*c_1001_2^6 - 565/157*c_1001_2^5 + 1147/157*c_1001_2^4 - 1296/157*c_1001_2^3 + 808/157*c_1001_2^2 - 340/157*c_1001_2 + 38/157, c_0101_1 - 20/157*c_1001_2^7 + 63/157*c_1001_2^6 - 170/157*c_1001_2^5 + 334/157*c_1001_2^4 - 383/157*c_1001_2^3 + 389/157*c_1001_2^2 - 351/157*c_1001_2 + 42/157, c_0101_3 - 2/157*c_1001_2^7 + 22/157*c_1001_2^6 - 17/157*c_1001_2^5 + 2/157*c_1001_2^4 + 103/157*c_1001_2^3 - 385/157*c_1001_2^2 + 169/157*c_1001_2 - 90/157, c_1001_2^8 - 4*c_1001_2^7 + 10*c_1001_2^6 - 20*c_1001_2^5 + 20*c_1001_2^4 - 11*c_1001_2^3 + 7*c_1001_2^2 + 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB