Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 526287266] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m243 geometric_solution 4.20470908 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 2103 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 1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778437301708 0.868309147554 0 4 4 2 0132 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578287042868 0.622857601820 0 0 3 1 2103 0132 2031 0213 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427588236170 0.638497628017 3 3 0 2 1302 2031 0132 1302 0 0 0 0 0 -1 0 1 1 0 -1 0 1 -1 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 -1 0 1 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 0.543840994055 0.386572142890 4 1 1 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.736365835709 0.585473101073 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : negation(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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_0'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0110_3'])})} 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_3, c_0101_0, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 159/16*c_0110_3^10 - 697/16*c_0110_3^9 + 691/16*c_0110_3^8 + 829/8*c_0110_3^7 - 579/2*c_0110_3^6 + 1279/8*c_0110_3^5 + 284*c_0110_3^4 - 7215/16*c_0110_3^3 + 1639/16*c_0110_3^2 + 461/2*c_0110_3 - 487/4, c_0011_0 - 1, c_0011_3 + 9/16*c_0110_3^10 - 39/16*c_0110_3^9 + 37/16*c_0110_3^8 + 51/8*c_0110_3^7 - 17*c_0110_3^6 + 65/8*c_0110_3^5 + 19*c_0110_3^4 - 441/16*c_0110_3^3 + 73/16*c_0110_3^2 + 31/2*c_0110_3 - 31/4, c_0101_0 + 27/16*c_0110_3^10 - 117/16*c_0110_3^9 + 111/16*c_0110_3^8 + 145/8*c_0110_3^7 - 49*c_0110_3^6 + 203/8*c_0110_3^5 + 51*c_0110_3^4 - 1243/16*c_0110_3^3 + 251/16*c_0110_3^2 + 83/2*c_0110_3 - 85/4, c_0101_4 + 7/4*c_0110_3^10 - 15/2*c_0110_3^9 + 7*c_0110_3^8 + 75/4*c_0110_3^7 - 50*c_0110_3^6 + 51/2*c_0110_3^5 + 105/2*c_0110_3^4 - 319/4*c_0110_3^3 + 16*c_0110_3^2 + 173/4*c_0110_3 - 45/2, c_0110_3^11 - 5*c_0110_3^10 + 7*c_0110_3^9 + 8*c_0110_3^8 - 36*c_0110_3^7 + 34*c_0110_3^6 + 20*c_0110_3^5 - 65*c_0110_3^4 + 39*c_0110_3^3 + 18*c_0110_3^2 - 28*c_0110_3 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB