Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 2480017043] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3515 geometric_solution 6.80133959 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 -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 0.637324580481 0.656095778330 3 2 4 0 0132 3012 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917832710014 0.779528052314 1 5 0 6 1230 0132 0132 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 -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 0.917832710014 0.779528052314 1 5 5 4 0132 3012 1230 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609281209934 0.775422342937 6 6 3 1 0321 2103 2031 0132 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448618637016 0.605944159245 3 2 6 3 1230 0132 2031 3012 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 -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 0.609281209934 0.775422342937 4 4 2 5 0321 2103 0132 1302 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.448618637016 0.605944159245 ==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_0101_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 90743/69460*c_0101_5^7 - 1347603/277840*c_0101_5^6 - 619465/55568*c_0101_5^5 - 2285287/138920*c_0101_5^4 - 4605789/277840*c_0101_5^3 - 709947/55568*c_0101_5^2 - 191067/12080*c_0101_5 + 828119/34730, c_0011_0 - 1, c_0011_1 - 473/13892*c_0101_5^7 - 1857/13892*c_0101_5^6 - 1088/3473*c_0101_5^5 - 7899/13892*c_0101_5^4 - 6067/13892*c_0101_5^3 - 3777/13892*c_0101_5^2 - 97/302*c_0101_5 + 1504/3473, c_0011_2 - 473/13892*c_0101_5^7 - 1857/13892*c_0101_5^6 - 1088/3473*c_0101_5^5 - 7899/13892*c_0101_5^4 - 6067/13892*c_0101_5^3 - 3777/13892*c_0101_5^2 - 97/302*c_0101_5 + 1504/3473, c_0011_4 - 353/13892*c_0101_5^7 - 681/13892*c_0101_5^6 - 298/3473*c_0101_5^5 + 537/13892*c_0101_5^4 + 4665/13892*c_0101_5^3 + 2879/13892*c_0101_5^2 - 119/302*c_0101_5 + 1842/3473, c_0011_6 - 353/13892*c_0101_5^7 - 681/13892*c_0101_5^6 - 298/3473*c_0101_5^5 + 537/13892*c_0101_5^4 + 4665/13892*c_0101_5^3 + 2879/13892*c_0101_5^2 - 119/302*c_0101_5 + 1842/3473, c_0101_0 + 547/13892*c_0101_5^7 + 1193/13892*c_0101_5^6 + 835/6946*c_0101_5^5 + 1293/13892*c_0101_5^4 + 1803/13892*c_0101_5^3 + 4177/13892*c_0101_5^2 + 9/151*c_0101_5 - 2569/3473, c_0101_5^8 + 3*c_0101_5^7 + 6*c_0101_5^6 + 7*c_0101_5^5 + 5*c_0101_5^4 + 3*c_0101_5^3 + 8*c_0101_5^2 - 24*c_0101_5 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB