Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 240095410] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m241 geometric_solution 4.19075306 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281492246316 0.409298805829 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 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 1.577770312385 1.249370228925 1 4 3 3 0132 0132 2310 1230 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 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 0.368047915773 0.988500758292 2 2 4 1 3012 3201 0132 0132 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 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 0.368047915773 0.988500758292 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 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 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 0.448289055347 0.271536202213 ==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_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' : negation(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_4' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 13417117/4951*c_0101_3^9 - 3328826/4951*c_0101_3^8 - 160177277/4951*c_0101_3^7 - 429858671/4951*c_0101_3^6 + 321295374/4951*c_0101_3^5 + 859405219/4951*c_0101_3^4 - 213175255/4951*c_0101_3^3 - 537269591/4951*c_0101_3^2 + 106489402/4951*c_0101_3 + 53972208/4951, c_0011_0 - 1, c_0011_1 + 396879/4951*c_0101_3^9 - 99549/4951*c_0101_3^8 - 4738081/4951*c_0101_3^7 - 12702567/4951*c_0101_3^6 + 9541857/4951*c_0101_3^5 + 25408695/4951*c_0101_3^4 - 6368011/4951*c_0101_3^3 - 15889649/4951*c_0101_3^2 + 3177712/4951*c_0101_3 + 1592359/4951, c_0011_3 + 1737/4951*c_0101_3^9 - 140/4951*c_0101_3^8 - 20237/4951*c_0101_3^7 - 58953/4951*c_0101_3^6 + 25908/4951*c_0101_3^5 + 96115/4951*c_0101_3^4 - 10922/4951*c_0101_3^3 - 50787/4951*c_0101_3^2 + 13061/4951*c_0101_3 + 5319/4951, c_0101_0 + 376181/4951*c_0101_3^9 - 92773/4951*c_0101_3^8 - 4490368/4951*c_0101_3^7 - 12058378/4951*c_0101_3^6 + 8982040/4951*c_0101_3^5 + 24078850/4951*c_0101_3^4 - 5947318/4951*c_0101_3^3 - 15029741/4951*c_0101_3^2 + 2983228/4951*c_0101_3 + 1501273/4951, c_0101_3^10 - 12*c_0101_3^8 - 35*c_0101_3^7 + 16*c_0101_3^6 + 70*c_0101_3^5 - 44*c_0101_3^3 - 2*c_0101_3^2 + 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB