Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 896837647] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2437 geometric_solution 5.78273684 oriented_manifold CS_known 0.0000000000000004 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 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 0 -1 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 0.331349266710 1.199949784995 0 5 6 4 0132 0132 0132 3201 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 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 0.442377956840 0.059464878006 5 0 6 6 3201 0132 1302 3201 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 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 0.976739142912 1.484654773249 4 3 3 0 3201 1230 3012 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 0.230222361390 0.613710655931 5 1 0 3 2310 2310 0132 2310 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 0 1 -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 0.331349266710 1.199949784995 6 1 4 2 2310 0132 3201 2310 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 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 0 0 0 0 0.762878262753 0.666002742297 2 2 5 1 2031 2310 3201 0132 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 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 0.976739142912 1.484654773249 ==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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_1']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_1']})} 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_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 361008/91*c_0110_2^11 + 530560/91*c_0110_2^10 - 733580/91*c_0110_2^9 - 1773784/91*c_0110_2^8 + 206417/91*c_0110_2^7 + 2215855/91*c_0110_2^6 + 701795/91*c_0110_2^5 - 93711/7*c_0110_2^4 - 718612/91*c_0110_2^3 + 14583/7*c_0110_2^2 + 213944/91*c_0110_2 + 41250/91, c_0011_0 - 1, c_0011_3 + 224*c_0110_2^11 + 384*c_0110_2^10 - 392*c_0110_2^9 - 1232*c_0110_2^8 - 98*c_0110_2^7 + 1478*c_0110_2^6 + 731*c_0110_2^5 - 751*c_0110_2^4 - 626*c_0110_2^3 + 77*c_0110_2^2 + 175*c_0110_2 + 40, c_0011_6 + 272*c_0110_2^11 + 432*c_0110_2^10 - 532*c_0110_2^9 - 1428*c_0110_2^8 + 55*c_0110_2^7 + 1774*c_0110_2^6 + 677*c_0110_2^5 - 959*c_0110_2^4 - 641*c_0110_2^3 + 138*c_0110_2^2 + 186*c_0110_2 + 37, c_0101_0 + 80*c_0110_2^11 + 144*c_0110_2^10 - 132*c_0110_2^9 - 460*c_0110_2^8 - 69*c_0110_2^7 + 548*c_0110_2^6 + 317*c_0110_2^5 - 269*c_0110_2^4 - 268*c_0110_2^3 + 16*c_0110_2^2 + 78*c_0110_2 + 20, c_0101_1 - 320*c_0110_2^11 - 480*c_0110_2^10 + 640*c_0110_2^9 + 1592*c_0110_2^8 - 152*c_0110_2^7 - 1982*c_0110_2^6 - 657*c_0110_2^5 + 1087*c_0110_2^4 + 657*c_0110_2^3 - 170*c_0110_2^2 - 194*c_0110_2 - 36, c_0101_3 + c_0110_2, c_0110_2^12 + 2*c_0110_2^11 - 5/4*c_0110_2^10 - 6*c_0110_2^9 - 33/16*c_0110_2^8 + 103/16*c_0110_2^7 + 21/4*c_0110_2^6 - 37/16*c_0110_2^5 - 61/16*c_0110_2^4 - 9/16*c_0110_2^3 + 7/8*c_0110_2^2 + 7/16*c_0110_2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB