Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 54697530] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2370 geometric_solution 5.73841907 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.507439930446 0.943642524320 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 1 -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 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 0.138142575851 0.284396383540 3 4 1 5 1230 0132 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 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 0.265009028913 1.090471261254 4 2 6 1 2310 3012 0132 0132 0 0 0 0 0 -1 0 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 -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 0.265009028913 1.090471261254 5 2 3 6 3012 0132 3201 3012 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 -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 -0.303182751706 0.874341692005 6 6 2 4 1023 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730607902555 0.973245326912 5 5 4 3 1230 1023 1230 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 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 0.730607902555 0.973245326912 ==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_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), '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_2']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1130891/1909*c_0110_4^10 + 18750807/9545*c_0110_4^9 - 41133277/9545*c_0110_4^8 - 164227626/9545*c_0110_4^7 + 129601748/9545*c_0110_4^6 + 636077289/9545*c_0110_4^5 - 68783673/9545*c_0110_4^4 - 1059210802/9545*c_0110_4^3 - 325128201/9545*c_0110_4^2 + 437670914/9545*c_0110_4 + 186184742/9545, c_0011_0 - 1, c_0011_2 - 308/415*c_0110_4^10 - 161/83*c_0110_4^9 + 2507/415*c_0110_4^8 + 6787/415*c_0110_4^7 - 8943/415*c_0110_4^6 - 25594/415*c_0110_4^5 + 1969/83*c_0110_4^4 + 41867/415*c_0110_4^3 + 8543/415*c_0110_4^2 - 16794/415*c_0110_4 - 6748/415, c_0011_3 - 308/415*c_0110_4^10 - 161/83*c_0110_4^9 + 2507/415*c_0110_4^8 + 6787/415*c_0110_4^7 - 8943/415*c_0110_4^6 - 25594/415*c_0110_4^5 + 1969/83*c_0110_4^4 + 41867/415*c_0110_4^3 + 8543/415*c_0110_4^2 - 16794/415*c_0110_4 - 6748/415, c_0011_5 + 29/415*c_0110_4^10 + 89/415*c_0110_4^9 - 45/83*c_0110_4^8 - 808/415*c_0110_4^7 + 169/83*c_0110_4^6 + 636/83*c_0110_4^5 - 1256/415*c_0110_4^4 - 1074/83*c_0110_4^3 - 111/415*c_0110_4^2 + 494/83*c_0110_4 + 658/415, c_0101_0 + 128/415*c_0110_4^10 + 659/415*c_0110_4^9 - 601/415*c_0110_4^8 - 5939/415*c_0110_4^7 + 444/415*c_0110_4^6 + 23412/415*c_0110_4^5 + 7244/415*c_0110_4^4 - 39266/415*c_0110_4^3 - 4256/83*c_0110_4^2 + 16257/415*c_0110_4 + 9467/415, c_0101_1 - 55/83*c_0110_4^10 - 698/415*c_0110_4^9 + 2188/415*c_0110_4^8 + 5879/415*c_0110_4^7 - 7472/415*c_0110_4^6 - 22336/415*c_0110_4^5 + 7062/415*c_0110_4^4 + 36738/415*c_0110_4^3 + 9759/415*c_0110_4^2 - 14716/415*c_0110_4 - 6523/415, c_0110_4^11 + 4*c_0110_4^10 - 5*c_0110_4^9 - 34*c_0110_4^8 + 3*c_0110_4^7 + 128*c_0110_4^6 + 65*c_0110_4^5 - 195*c_0110_4^4 - 186*c_0110_4^3 + 37*c_0110_4^2 + 86*c_0110_4 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB