Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 3583265045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0405 geometric_solution 4.46720470 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 -1 1 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 -3.921030514844 2.022903998820 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 -1 0 1 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 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 0.288442841284 0.222635946643 0 0 2 2 3201 0132 1230 3012 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 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 0.134882373809 0.041022882395 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.968801889820 0.786308436816 6 3 5 5 0132 0132 3012 1230 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 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 1.240034413255 1.153079694953 4 4 3 6 3012 1230 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.240034413255 1.153079694953 4 6 5 6 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.398484325790 0.604611830903 ==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_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 15230/3*c_0110_2^10 + 8935/3*c_0110_2^9 + 57078*c_0110_2^8 + 192646/3*c_0110_2^7 - 605884/3*c_0110_2^6 - 296621/3*c_0110_2^5 + 928367/3*c_0110_2^4 - 117344/3*c_0110_2^3 - 445235/3*c_0110_2^2 + 241408/3*c_0110_2 - 36484/3, c_0011_0 - 1, c_0011_3 - 7*c_0110_2^10 + 6*c_0110_2^9 + 78*c_0110_2^8 + 67*c_0110_2^7 - 307*c_0110_2^6 - 66*c_0110_2^5 + 480*c_0110_2^4 - 162*c_0110_2^3 - 215*c_0110_2^2 + 169*c_0110_2 - 34, c_0011_5 - 26*c_0110_2^10 + 20*c_0110_2^9 + 291*c_0110_2^8 + 275*c_0110_2^7 - 1111*c_0110_2^6 - 340*c_0110_2^5 + 1731*c_0110_2^4 - 447*c_0110_2^3 - 805*c_0110_2^2 + 539*c_0110_2 - 95, c_0101_0 - c_0110_2^10 + c_0110_2^9 + 11*c_0110_2^8 + 8*c_0110_2^7 - 45*c_0110_2^6 - 3*c_0110_2^5 + 69*c_0110_2^4 - 33*c_0110_2^3 - 26*c_0110_2^2 + 29*c_0110_2 - 8, c_0101_1 + 282*c_0101_4*c_0110_2^10 - 156*c_0101_4*c_0110_2^9 - 3172*c_0101_4*c_0110_2^8 - 3673*c_0101_4*c_0110_2^7 + 11052*c_0101_4*c_0110_2^6 + 5787*c_0101_4*c_0110_2^5 - 16884*c_0101_4*c_0110_2^4 + 1761*c_0101_4*c_0110_2^3 + 8133*c_0101_4*c_0110_2^2 - 4266*c_0101_4*c_0110_2 + 628*c_0101_4, c_0101_4^2 - 169*c_0110_2^10 + 112*c_0110_2^9 + 1898*c_0110_2^8 + 1992*c_0110_2^7 - 6947*c_0110_2^6 - 2872*c_0110_2^5 + 10731*c_0110_2^4 - 1915*c_0110_2^3 - 5094*c_0110_2^2 + 2997*c_0110_2 - 483, c_0110_2^11 - c_0110_2^10 - 11*c_0110_2^9 - 8*c_0110_2^8 + 45*c_0110_2^7 + 3*c_0110_2^6 - 69*c_0110_2^5 + 33*c_0110_2^4 + 26*c_0110_2^3 - 28*c_0110_2^2 + 9*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB