Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 1343343737] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0038 geometric_solution 3.60742917 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 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 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 0.577833147674 0.012574660583 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 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 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 0.468832023468 0.054942725542 3 1 3 1 0132 0132 2310 1023 0 0 0 0 0 0 1 -1 -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 0 0 0 0 1 0 0 -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 -1.779311465005 1.206924561354 2 2 5 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 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 0.776952282820 0.950310776516 5 6 3 5 1230 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -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 -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 1.198730930929 0.411350907728 6 4 4 3 3201 3012 1230 0132 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 -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 1.198730930929 0.411350907728 6 4 6 5 2031 0132 1302 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 -1 1 1 0 -1 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987706966510 0.507063323578 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 84815/6439*c_0101_5^10 + 796297/6439*c_0101_5^9 + 1834209/6439*c_0101_5^8 - 1771510/6439*c_0101_5^7 - 7809492/6439*c_0101_5^6 + 440039/6439*c_0101_5^5 + 9927711/6439*c_0101_5^4 + 1585379/6439*c_0101_5^3 - 5098896/6439*c_0101_5^2 - 769513/6439*c_0101_5 + 967459/6439, c_0011_0 - 1, c_0011_4 - 4579/6439*c_0101_5^10 - 39598/6439*c_0101_5^9 - 70560/6439*c_0101_5^8 + 138899/6439*c_0101_5^7 + 292133/6439*c_0101_5^6 - 240662/6439*c_0101_5^5 - 271289/6439*c_0101_5^4 + 156861/6439*c_0101_5^3 + 69741/6439*c_0101_5^2 - 25879/6439*c_0101_5 - 4877/6439, c_0101_0 - 1562/6439*c_0101_5^10 - 9479/6439*c_0101_5^9 + 11482/6439*c_0101_5^8 + 115858/6439*c_0101_5^7 - 9253/6439*c_0101_5^6 - 354613/6439*c_0101_5^5 + 71966/6439*c_0101_5^4 + 310339/6439*c_0101_5^3 - 77199/6439*c_0101_5^2 - 74236/6439*c_0101_5 + 14945/6439, c_0101_1 - 2885/6439*c_0101_5^10 - 24330/6439*c_0101_5^9 - 38030/6439*c_0101_5^8 + 107840/6439*c_0101_5^7 + 196786/6439*c_0101_5^6 - 181750/6439*c_0101_5^5 - 205230/6439*c_0101_5^4 + 84930/6439*c_0101_5^3 + 44545/6439*c_0101_5^2 + 35/6439*c_0101_5 + 3220/6439, c_0101_2 + c_0101_5, c_0101_3 - 4492/6439*c_0101_5^10 - 38563/6439*c_0101_5^9 - 65552/6439*c_0101_5^8 + 151326/6439*c_0101_5^7 + 298704/6439*c_0101_5^6 - 284093/6439*c_0101_5^5 - 328854/6439*c_0101_5^4 + 200433/6439*c_0101_5^3 + 110692/6439*c_0101_5^2 - 33435/6439*c_0101_5 - 4617/6439, c_0101_5^11 + 9*c_0101_5^10 + 18*c_0101_5^9 - 29*c_0101_5^8 - 83*c_0101_5^7 + 40*c_0101_5^6 + 108*c_0101_5^5 - 25*c_0101_5^4 - 51*c_0101_5^3 + 7*c_0101_5^2 + 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB