Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 4300159] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3001 geometric_solution 6.17838912 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 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 0.257575870137 0.610968739259 0 0 2 4 0132 2310 2031 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 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 0.414105119730 1.389739870220 3 0 4 1 2310 0132 3012 1302 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 1 0 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.540698180428 2.376698534817 5 6 2 0 0132 0132 3201 0132 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 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 0.417988675410 0.489319289568 5 2 1 6 2103 1230 0132 3012 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 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 1.006642980176 0.846323442684 3 5 4 5 0132 2310 2103 3201 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267312975313 1.486248625420 6 3 4 6 3012 0132 1230 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 -1 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 0 0 0 0 0.659924199774 0.614194698119 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_4'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_4']), '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_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 175054522/239055651*c_1001_0^11 - 1338436679/239055651*c_1001_0^10 + 1084654822/79685217*c_1001_0^9 - 1169194670/239055651*c_1001_0^8 - 1569270823/79685217*c_1001_0^7 - 215543408/239055651*c_1001_0^6 + 1391592617/26561739*c_1001_0^5 - 4425907249/239055651*c_1001_0^4 - 14980647700/239055651*c_1001_0^3 + 14698594051/239055651*c_1001_0^2 - 3560878079/239055651*c_1001_0 + 14910280/79685217, c_0011_0 - 1, c_0011_3 + 56258/374109*c_1001_0^11 - 470491/374109*c_1001_0^10 + 431991/124703*c_1001_0^9 - 670663/374109*c_1001_0^8 - 748501/124703*c_1001_0^7 + 826310/374109*c_1001_0^6 + 2058267/124703*c_1001_0^5 - 3078176/374109*c_1001_0^4 - 8242583/374109*c_1001_0^3 + 6664394/374109*c_1001_0^2 + 1116545/374109*c_1001_0 - 450938/124703, c_0011_4 - 48934/124703*c_1001_0^11 + 358541/124703*c_1001_0^10 - 778323/124703*c_1001_0^9 - 26340/124703*c_1001_0^8 + 1486313/124703*c_1001_0^7 + 608425/124703*c_1001_0^6 - 3643405/124703*c_1001_0^5 - 155506/124703*c_1001_0^4 + 4852674/124703*c_1001_0^3 - 2268348/124703*c_1001_0^2 - 851236/124703*c_1001_0 + 433271/124703, c_0101_0 + 74517/124703*c_1001_0^11 - 519080/124703*c_1001_0^10 + 1016264/124703*c_1001_0^9 + 303803/124703*c_1001_0^8 - 2022429/124703*c_1001_0^7 - 1500638/124703*c_1001_0^6 + 4788063/124703*c_1001_0^5 + 1436308/124703*c_1001_0^4 - 6302997/124703*c_1001_0^3 + 1951264/124703*c_1001_0^2 + 1243317/124703*c_1001_0 - 408524/124703, c_0101_1 - 1, c_0101_2 - 180004/374109*c_1001_0^11 + 1301984/374109*c_1001_0^10 - 928382/124703*c_1001_0^9 - 148930/374109*c_1001_0^8 + 1768599/124703*c_1001_0^7 + 2228360/374109*c_1001_0^6 - 4285426/124703*c_1001_0^5 - 534023/374109*c_1001_0^4 + 16970023/374109*c_1001_0^3 - 8834773/374109*c_1001_0^2 - 2936401/374109*c_1001_0 + 681457/124703, c_1001_0^12 - 8*c_1001_0^11 + 21*c_1001_0^10 - 11*c_1001_0^9 - 30*c_1001_0^8 + 10*c_1001_0^7 + 81*c_1001_0^6 - 52*c_1001_0^5 - 97*c_1001_0^4 + 121*c_1001_0^3 - 20*c_1001_0^2 - 24*c_1001_0 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB