Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 2362249444] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s849 geometric_solution 5.46350780 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.327122067835 0.805997896376 0 3 2 4 0132 0132 1302 0132 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 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 0.680452089916 0.681141472434 1 3 0 5 2031 3201 0132 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 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 0.680452089916 0.681141472434 5 1 2 4 3201 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.598390899177 0.308885228829 5 5 1 3 0132 3120 0132 1023 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 -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 0.473210679798 0.583507197479 4 4 2 3 0132 3120 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.243036262433 1.237552621340 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 413293/1052160*c_1001_3^11 - 2136637/1052160*c_1001_3^10 - 1955807/1052160*c_1001_3^9 + 804693/87680*c_1001_3^8 + 5770343/210432*c_1001_3^7 + 17791817/1052160*c_1001_3^6 - 16541327/526080*c_1001_3^5 - 6741679/87680*c_1001_3^4 - 2059153/43840*c_1001_3^3 + 1843589/65760*c_1001_3^2 + 2319491/32880*c_1001_3 + 102871/4110, c_0011_0 - 1, c_0011_2 + 331/8768*c_1001_3^11 + 247/1096*c_1001_3^10 + 1471/4384*c_1001_3^9 - 6061/8768*c_1001_3^8 - 27129/8768*c_1001_3^7 - 15097/4384*c_1001_3^6 + 8913/8768*c_1001_3^5 + 31073/4384*c_1001_3^4 + 15415/2192*c_1001_3^3 - 109/1096*c_1001_3^2 - 2963/548*c_1001_3 - 705/274, c_0011_4 + 1367/17536*c_1001_3^11 + 8801/17536*c_1001_3^10 + 15903/17536*c_1001_3^9 - 10047/8768*c_1001_3^8 - 125737/17536*c_1001_3^7 - 175249/17536*c_1001_3^6 - 265/548*c_1001_3^5 + 2263/137*c_1001_3^4 + 5811/274*c_1001_3^3 + 1359/274*c_1001_3^2 - 3651/274*c_1001_3 - 2963/274, c_0101_0 + 439/35072*c_1001_3^11 + 3117/35072*c_1001_3^10 + 5971/35072*c_1001_3^9 - 4457/17536*c_1001_3^8 - 52833/35072*c_1001_3^7 - 64741/35072*c_1001_3^6 + 8507/8768*c_1001_3^5 + 5067/1096*c_1001_3^4 + 5101/1096*c_1001_3^3 - 23/1096*c_1001_3^2 - 1183/274*c_1001_3 - 1709/548, c_0101_5 - 31/274*c_1001_3^11 - 5939/8768*c_1001_3^10 - 9195/8768*c_1001_3^9 + 16935/8768*c_1001_3^8 + 20527/2192*c_1001_3^7 + 98765/8768*c_1001_3^6 - 15601/8768*c_1001_3^5 - 96469/4384*c_1001_3^4 - 53947/2192*c_1001_3^3 - 3297/1096*c_1001_3^2 + 9647/548*c_1001_3 + 3451/274, c_1001_3^12 + 5*c_1001_3^11 + 3*c_1001_3^10 - 28*c_1001_3^9 - 67*c_1001_3^8 - 9*c_1001_3^7 + 134*c_1001_3^6 + 184*c_1001_3^5 - 224*c_1001_3^3 - 192*c_1001_3^2 + 64*c_1001_3 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB