Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 829467711] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3431 geometric_solution 6.60043526 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475665489908 0.561117400959 0 2 5 4 0132 3012 0132 2310 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 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.110965056172 0.951402143938 1 0 4 5 1230 0132 1230 3201 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 -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 0.889034943828 0.951402143938 5 6 4 0 0213 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264006619215 0.933706795480 1 3 0 2 3201 1230 0132 3012 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 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 -0.110965056172 0.951402143938 3 2 6 1 0213 2310 2031 0132 0 0 0 0 0 0 0 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 0 0 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 0.719591703640 0.991714270647 6 3 6 5 2031 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282853632636 1.176004987522 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0110_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_1001_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_4, c_0011_5, c_0101_0, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 23/48*c_0110_6^6 + 11/6*c_0110_6^5 - 53/24*c_0110_6^4 - 35/48*c_0110_6^3 + 29/6*c_0110_6^2 - 31/6*c_0110_6 + 97/48, c_0011_0 - 1, c_0011_3 - 2*c_0110_6^6 + 5*c_0110_6^5 - 5*c_0110_6^4 + 7*c_0110_6^2 - 6*c_0110_6 + 6, c_0011_4 + c_0110_6^6 - 2*c_0110_6^5 + c_0110_6^4 + c_0110_6^3 - 3*c_0110_6^2 + c_0110_6 - 2, c_0011_5 + c_0110_6^6 - 3*c_0110_6^5 + 3*c_0110_6^4 - 4*c_0110_6^2 + 4*c_0110_6 - 3, c_0101_0 + c_0110_6^6 - 3*c_0110_6^5 + 3*c_0110_6^4 - 4*c_0110_6^2 + 4*c_0110_6 - 3, c_0110_6^7 - 4*c_0110_6^6 + 6*c_0110_6^5 - 3*c_0110_6^4 - 4*c_0110_6^3 + 8*c_0110_6^2 - 7*c_0110_6 + 4, c_1001_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7298287/704105*c_1001_2^11 + 460970/140821*c_1001_2^10 + 14942209/140821*c_1001_2^9 + 54019202/704105*c_1001_2^8 + 42998116/140821*c_1001_2^7 + 1215629137/704105*c_1001_2^6 + 1014983612/704105*c_1001_2^5 - 118617048/140821*c_1001_2^4 + 7345609/13285*c_1001_2^3 + 18694769/140821*c_1001_2^2 - 8166400/140821*c_1001_2 + 29342858/704105, c_0011_0 - 1, c_0011_3 + 94082/704105*c_1001_2^11 + 2244/140821*c_1001_2^10 - 199180/140821*c_1001_2^9 - 1136322/704105*c_1001_2^8 - 572863/140821*c_1001_2^7 - 16453052/704105*c_1001_2^6 - 19088907/704105*c_1001_2^5 + 1219407/140821*c_1001_2^4 + 5700353/704105*c_1001_2^3 - 141193/140821*c_1001_2^2 - 129505/140821*c_1001_2 + 382497/704105, c_0011_4 + 279016/704105*c_1001_2^11 + 23889/140821*c_1001_2^10 - 572890/140821*c_1001_2^9 - 4231701/704105*c_1001_2^8 - 2071775/140821*c_1001_2^7 - 52789451/704105*c_1001_2^6 - 74610041/704105*c_1001_2^5 - 2925469/140821*c_1001_2^4 - 1293246/704105*c_1001_2^3 - 381240/140821*c_1001_2^2 + 176946/140821*c_1001_2 + 678886/704105, c_0011_5 + 186654/704105*c_1001_2^11 + 20707/140821*c_1001_2^10 - 386343/140821*c_1001_2^9 - 3070939/704105*c_1001_2^8 - 1407205/140821*c_1001_2^7 - 35918579/704105*c_1001_2^6 - 53529839/704105*c_1001_2^5 - 2345991/140821*c_1001_2^4 + 2890806/704105*c_1001_2^3 - 313065/140821*c_1001_2^2 + 145781/140821*c_1001_2 + 525879/704105, c_0101_0 - 521706/704105*c_1001_2^11 - 51782/140821*c_1001_2^10 + 1068176/140821*c_1001_2^9 + 8257621/704105*c_1001_2^8 + 3981443/140821*c_1001_2^7 + 100207161/704105*c_1001_2^6 + 146509111/704105*c_1001_2^5 + 7529145/140821*c_1001_2^4 + 7600791/704105*c_1001_2^3 + 1635307/140821*c_1001_2^2 - 29127/140821*c_1001_2 - 1144556/704105, c_0110_6 + 636181/704105*c_1001_2^11 + 69214/140821*c_1001_2^10 - 1304894/140821*c_1001_2^9 - 10388506/704105*c_1001_2^8 - 4893976/140821*c_1001_2^7 - 122992896/704105*c_1001_2^6 - 183602511/704105*c_1001_2^5 - 9912651/140821*c_1001_2^4 - 5274081/704105*c_1001_2^3 - 2236747/140821*c_1001_2^2 - 425861/140821*c_1001_2 + 1040756/704105, c_1001_2^12 + c_1001_2^11 - 10*c_1001_2^10 - 21*c_1001_2^9 - 46*c_1001_2^8 - 211*c_1001_2^7 - 377*c_1001_2^6 - 211*c_1001_2^5 - 46*c_1001_2^4 - 21*c_1001_2^3 - 10*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB