Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 3751690991] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2821 geometric_solution 6.04462666 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 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 -1 0 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 1.312703337194 0.414960398861 2 0 0 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 -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 1 0 -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 0.735863647280 0.651596878217 1 4 5 3 0132 0132 0132 2031 1 0 0 0 0 -1 0 1 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 -1 1 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 0.437607042304 0.459614387928 4 2 1 5 3201 1302 0132 3201 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 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 0.437607042304 0.459614387928 6 2 5 3 0132 0132 0321 2310 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 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 0 0 0 0 0 0.913439753475 1.141203578499 6 3 4 2 1023 2310 0321 0132 1 0 0 0 0 0 0 0 -1 0 0 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 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 0.913439753475 1.141203578499 4 5 6 6 0132 1023 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437607042304 0.459614387928 ==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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : 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_6' : negation(d['c_0101_2']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_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_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 11697237/7757092*c_0101_4^8 - 308664/102067*c_0101_4^7 - 663015/554078*c_0101_4^6 - 119300733/7757092*c_0101_4^5 + 17107691/3878546*c_0101_4^4 - 44604668/1939273*c_0101_4^3 + 41570213/7757092*c_0101_4^2 - 2370885/204134*c_0101_4 + 1921198/1939273, c_0011_0 - 1, c_0011_3 - 242955/2216312*c_0101_4^8 + 21033/58324*c_0101_4^7 - 23901/158308*c_0101_4^6 + 1782255/2216312*c_0101_4^5 - 442356/277039*c_0101_4^4 + 1091345/554078*c_0101_4^3 - 3460183/2216312*c_0101_4^2 - 1171/14581*c_0101_4 - 326465/554078, c_0101_0 - 370095/1108156*c_0101_4^8 + 11268/14581*c_0101_4^7 + 25343/79154*c_0101_4^6 + 3218815/1108156*c_0101_4^5 - 1474177/554078*c_0101_4^4 + 870967/277039*c_0101_4^3 - 3268823/1108156*c_0101_4^2 + 23875/29162*c_0101_4 - 600360/277039, c_0101_1 + 242955/1108156*c_0101_4^8 - 21033/29162*c_0101_4^7 + 23901/79154*c_0101_4^6 - 1782255/1108156*c_0101_4^5 + 884712/277039*c_0101_4^4 - 1091345/277039*c_0101_4^3 + 3460183/1108156*c_0101_4^2 - 12239/14581*c_0101_4 + 326465/277039, c_0101_2 + 39168/277039*c_0101_4^8 - 3267/14581*c_0101_4^7 - 13005/39577*c_0101_4^6 - 361371/277039*c_0101_4^5 + 19270/277039*c_0101_4^4 - 361661/277039*c_0101_4^3 - 346189/277039*c_0101_4^2 - 6460/14581*c_0101_4 - 80985/277039, c_0101_4^9 - 2*c_0101_4^8 - 2/3*c_0101_4^7 - 31/3*c_0101_4^6 + 8/3*c_0101_4^5 - 52/3*c_0101_4^4 + 7/3*c_0101_4^3 - 32/3*c_0101_4^2 + 4/3*c_0101_4 - 8/3, c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB