Magma V2.19-8 Tue Aug 20 2013 16:16:45 on localhost [Seed = 4071845438] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1035 geometric_solution 4.91633996 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 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 1 -1 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 0.685917932541 0.725625779977 0 2 4 4 0132 1302 3201 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.094754399807 1.166205934129 0 0 3 1 2103 0132 2031 2031 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 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 0.312029288582 0.727797394398 5 5 0 2 0132 3201 0132 1302 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 1 -1 -1 0 1 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 0.345977760978 0.399259364117 1 6 1 6 2310 0132 0132 2310 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 0 -0.239580929612 1.430480075741 3 6 3 6 0132 3201 2310 1023 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 -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 -1.976683082960 1.569057781360 4 4 5 5 3201 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262897846652 0.138577705619 ==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' : negation(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' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1617/334*c_0110_6^3 + 14076/835*c_0110_6^2 - 15692/2505*c_0110_6 + 542/501, c_0011_0 - 1, c_0011_3 + 99/167*c_0110_6^3 - 312/167*c_0110_6^2 - 180/167*c_0110_6 + 196/167, c_0011_4 + 63/167*c_0110_6^3 - 153/167*c_0110_6^2 - 69/167*c_0110_6 + 231/167, c_0101_0 - 36/167*c_0110_6^3 + 159/167*c_0110_6^2 - 56/167*c_0110_6 - 132/167, c_0101_1 - 72/167*c_0110_6^3 + 318/167*c_0110_6^2 - 112/167*c_0110_6 - 264/167, c_0101_5 - 1, c_0110_6^4 - 3*c_0110_6^3 - 11/9*c_0110_6^2 + 25/9*c_0110_6 + 5/9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 8887/698*c_0110_6^8 + 21377/1047*c_0110_6^7 - 280555/2094*c_0110_6^6 - 288739/2094*c_0110_6^5 - 107276/1047*c_0110_6^4 + 1067351/2094*c_0110_6^3 + 18535/2094*c_0110_6^2 - 62487/698*c_0110_6 + 126859/2094, c_0011_0 - 1, c_0011_3 + c_0110_6, c_0011_4 + 14437/71894*c_0110_6^8 + 19497/71894*c_0110_6^7 - 76608/35947*c_0110_6^6 - 57629/35947*c_0110_6^5 - 133941/71894*c_0110_6^4 + 602565/71894*c_0110_6^3 - 98329/71894*c_0110_6^2 + 71948/35947*c_0110_6 + 14271/71894, c_0101_0 + 12129/35947*c_0110_6^8 + 38355/71894*c_0110_6^7 - 126700/35947*c_0110_6^6 - 128591/35947*c_0110_6^5 - 113579/35947*c_0110_6^4 + 984545/71894*c_0110_6^3 + 5606/35947*c_0110_6^2 + 22409/71894*c_0110_6 + 18439/71894, c_0101_1 + 5101/71894*c_0110_6^8 + 9663/35947*c_0110_6^7 - 17870/35947*c_0110_6^6 - 83474/35947*c_0110_6^5 - 150383/71894*c_0110_6^4 + 32796/35947*c_0110_6^3 + 386637/71894*c_0110_6^2 - 93187/71894*c_0110_6 + 28567/35947, c_0101_5 + 14437/71894*c_0110_6^8 + 19497/71894*c_0110_6^7 - 76608/35947*c_0110_6^6 - 57629/35947*c_0110_6^5 - 133941/71894*c_0110_6^4 + 602565/71894*c_0110_6^3 - 98329/71894*c_0110_6^2 + 71948/35947*c_0110_6 + 14271/71894, c_0110_6^9 + c_0110_6^8 - 11*c_0110_6^7 - 4*c_0110_6^6 - 7*c_0110_6^5 + 43*c_0110_6^4 - 26*c_0110_6^3 + 14*c_0110_6^2 - 4*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB