Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 2699115661] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0012 geometric_solution 3.56114472 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 -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 0.548278058224 0.351692817144 0 4 0 4 0132 0132 2310 2310 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 0 0 0 0 0 0 0 -2.417288452360 0.852380099709 5 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 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 -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 0.791612314286 0.419394393026 2 5 0 2 1230 3201 0132 1302 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 1 -1 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 0.791612314286 0.419394393026 1 1 6 6 3201 0132 0132 3201 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 0 0 0 0 0 0 0 0.232321007111 0.025111096533 2 5 3 5 0132 2310 2310 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 0.950166222703 1.912274158034 6 4 6 4 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.065689324034 0.111313864650 ==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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], '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_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1504/37*c_0110_4^8 + 1886/37*c_0110_4^7 - 20865/37*c_0110_4^6 - 11589/37*c_0110_4^5 + 54940/37*c_0110_4^4 - 3510/37*c_0110_4^3 - 28432/37*c_0110_4^2 + 8905/37*c_0110_4 - 899/37, c_0011_0 - 1, c_0011_2 + 110/37*c_0110_4^8 + 202/37*c_0110_4^7 - 1420/37*c_0110_4^6 - 1677/37*c_0110_4^5 + 3230/37*c_0110_4^4 + 1580/37*c_0110_4^3 - 1800/37*c_0110_4^2 - 240/37*c_0110_4 + 150/37, c_0011_6 - 69/37*c_0110_4^8 - 85/37*c_0110_4^7 + 958/37*c_0110_4^6 + 504/37*c_0110_4^5 - 2534/37*c_0110_4^4 + 277/37*c_0110_4^3 + 1415/37*c_0110_4^2 - 465/37*c_0110_4 - 10/37, c_0101_0 - 133/37*c_0110_4^8 - 218/37*c_0110_4^7 + 1764/37*c_0110_4^6 + 1697/37*c_0110_4^5 - 4272/37*c_0110_4^4 - 1241/37*c_0110_4^3 + 2395/37*c_0110_4^2 + 11/37*c_0110_4 - 141/37, c_0101_1 - 27/37*c_0110_4^8 + 15/37*c_0110_4^7 + 436/37*c_0110_4^6 - 472/37*c_0110_4^5 - 1368/37*c_0110_4^4 + 1886/37*c_0110_4^3 + 425/37*c_0110_4^2 - 1189/37*c_0110_4 + 276/37, c_0101_2 + 66/37*c_0110_4^8 + 25/37*c_0110_4^7 - 1000/37*c_0110_4^6 + 274/37*c_0110_4^5 + 3011/37*c_0110_4^4 - 2123/37*c_0110_4^3 - 1450/37*c_0110_4^2 + 1410/37*c_0110_4 - 243/37, c_0110_4^9 + 2*c_0110_4^8 - 13*c_0110_4^7 - 18*c_0110_4^6 + 32*c_0110_4^5 + 24*c_0110_4^4 - 26*c_0110_4^3 - 7*c_0110_4^2 + 7*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB