Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 3086363288] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2549 geometric_solution 5.85825387 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 -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 0.554306142073 0.136984396083 0 2 0 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 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 -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 0.686234611225 0.588426263443 4 1 5 3 0132 0132 0132 1230 0 1 0 0 0 0 0 0 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 -1 1 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 0 0 0 0 1.075396163531 1.077698544161 2 4 1 5 3012 2310 0132 2310 0 0 1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075396163531 1.077698544161 2 6 5 3 0132 0132 3120 3201 0 1 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 0 0 0 0 1 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 0.458558611090 0.534486152980 3 6 4 2 3201 1023 3120 0132 0 1 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 1 0 -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 0.458558611090 0.534486152980 5 4 6 6 1023 0132 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 -1 0 1 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 1.075396163531 1.077698544161 ==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' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), '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_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2421649/4096*c_0110_6^9 + 8787755/2048*c_0110_6^8 - 40853449/4096*c_0110_6^7 + 57329281/2048*c_0110_6^6 - 51341047/4096*c_0110_6^5 + 197282469/4096*c_0110_6^4 + 65401893/4096*c_0110_6^3 + 29088551/1024*c_0110_6^2 + 16721601/1024*c_0110_6 + 9409663/4096, c_0011_0 - 1, c_0011_3 - 825/64*c_0110_6^9 + 2997/32*c_0110_6^8 - 13969/64*c_0110_6^7 + 19601/32*c_0110_6^6 - 17863/64*c_0110_6^5 + 67529/64*c_0110_6^4 + 21721/64*c_0110_6^3 + 9937/16*c_0110_6^2 + 2823/8*c_0110_6 + 3175/64, c_0101_0 + 261/16*c_0110_6^9 - 1897/16*c_0110_6^8 + 553/2*c_0110_6^7 - 6205/8*c_0110_6^6 + 5673/16*c_0110_6^5 - 2669/2*c_0110_6^4 - 6837/16*c_0110_6^3 - 12541/16*c_0110_6^2 - 7121/16*c_0110_6 - 125/2, c_0101_1 + 11/16*c_0110_6^9 - 73/16*c_0110_6^8 + 67/8*c_0110_6^7 - 195/8*c_0110_6^6 - 133/16*c_0110_6^5 - 317/8*c_0110_6^4 - 959/16*c_0110_6^3 - 517/16*c_0110_6^2 - 661/16*c_0110_6 - 77/8, c_0101_2 - 1, c_0101_6 - 303/32*c_0110_6^9 + 275/4*c_0110_6^8 - 5121/32*c_0110_6^7 + 7191/16*c_0110_6^6 - 6517/32*c_0110_6^5 + 24825/32*c_0110_6^4 + 8047/32*c_0110_6^3 + 7333/16*c_0110_6^2 + 4171/16*c_0110_6 + 1175/32, c_0110_6^10 - 7*c_0110_6^9 + 15*c_0110_6^8 - 43*c_0110_6^7 + 9*c_0110_6^6 - 76*c_0110_6^5 - 48*c_0110_6^4 - 55*c_0110_6^3 - 40*c_0110_6^2 - 11*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB