Magma V2.19-8 Tue Aug 20 2013 16:16:44 on localhost [Seed = 3381155077] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1012 geometric_solution 4.89376413 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.070771681972 1.505701967445 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.337318647993 0.653799432389 4 3 5 0 0132 2031 0132 0132 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 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 0.410401756344 0.360086021678 2 4 0 5 1302 3201 0132 2310 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 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 0.410401756344 0.360086021678 2 4 3 4 0132 1302 2310 2031 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603517224588 0.295052506345 3 6 6 2 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615116484730 0.810612977268 6 5 5 6 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.802432322903 0.487799226474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : 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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), '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' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_2']), '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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 220856289/44890*c_0101_6^7 - 236045581/44890*c_0101_6^6 + 2310872069/22445*c_0101_6^5 + 1704921107/22445*c_0101_6^4 - 36648406987/44890*c_0101_6^3 - 32777728733/44890*c_0101_6^2 + 7904469403/44890*c_0101_6 - 3211524713/44890, c_0011_0 - 1, c_0011_2 - 6341/134670*c_0101_0*c_0101_6^7 - 2882/67335*c_0101_0*c_0101_6^6 + 21924/22445*c_0101_0*c_0101_6^5 + 37789/67335*c_0101_0*c_0101_6^4 - 68099/8978*c_0101_0*c_0101_6^3 - 384668/67335*c_0101_0*c_0101_6^2 + 15859/134670*c_0101_0*c_0101_6 - 13663/13467*c_0101_0, c_0011_5 + 587/22445*c_0101_6^7 + 3086/67335*c_0101_6^6 - 35824/67335*c_0101_6^5 - 52934/67335*c_0101_6^4 + 93199/22445*c_0101_6^3 + 159019/22445*c_0101_6^2 + 14480/13467*c_0101_6 - 4991/67335, c_0101_0^2 + 1442/67335*c_0101_6^7 + 407/13467*c_0101_6^6 - 9621/22445*c_0101_6^5 - 35267/67335*c_0101_6^4 + 73344/22445*c_0101_6^3 + 344503/67335*c_0101_6^2 + 73481/67335*c_0101_6 - 38681/67335, c_0101_2 - 1373/67335*c_0101_6^7 - 429/22445*c_0101_6^6 + 5888/13467*c_0101_6^5 + 3728/13467*c_0101_6^4 - 81278/22445*c_0101_6^3 - 174829/67335*c_0101_6^2 + 60968/22445*c_0101_6 - 20621/67335, c_0101_5 - 579/22445*c_0101_6^7 - 1007/22445*c_0101_6^6 + 11748/22445*c_0101_6^5 + 16953/22445*c_0101_6^4 - 18372/4489*c_0101_6^3 - 144226/22445*c_0101_6^2 - 26351/22445*c_0101_6 + 4807/22445, c_0101_6^8 + c_0101_6^7 - 21*c_0101_6^6 - 14*c_0101_6^5 + 167*c_0101_6^4 + 137*c_0101_6^3 - 46*c_0101_6^2 + 17*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB