Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 3937105459] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1498 geometric_solution 5.30721613 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -1 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 0 0 0 0.845762169352 1.104190645107 0 3 2 4 0132 0132 1230 0132 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 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 1.297192712711 0.897425995251 5 0 4 1 0132 0132 0132 3012 0 0 0 0 0 1 -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 0 0 0 0 1 -1 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 1.297192712711 0.897425995251 5 1 6 5 1023 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -0.261013238015 0.469933038204 6 6 1 2 2310 0132 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 -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 0.682219231339 0.346607601863 2 3 3 6 0132 1023 0132 2310 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 -0.261013238015 0.469933038204 5 4 4 3 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.437132279783 1.567498798477 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : 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' : 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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_3'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 7/24*c_1001_3^3 + 1/6*c_1001_3^2 + 21/16*c_1001_3 - 1/3, c_0011_0 - 1, c_0011_4 - 2/3*c_1001_3^3 + 2/3*c_1001_3^2 + 2*c_1001_3 - 4/3, c_0101_0 + 2/3*c_1001_3^3 + 4/3*c_1001_3^2 - c_1001_3 - 2/3, c_0101_1 - 1, c_0101_2 + c_1001_3, c_0101_3 - 4/3*c_1001_3^3 - 2/3*c_1001_3^2 + 3*c_1001_3 - 2/3, c_1001_3^4 - 5/2*c_1001_3^2 + 2*c_1001_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 921896/57971*c_1001_3^7 + 11104026/57971*c_1001_3^6 + 4210520/57971*c_1001_3^5 + 18876279/57971*c_1001_3^4 + 167580/1999*c_1001_3^3 + 1616330/57971*c_1001_3^2 - 2170629/57971*c_1001_3 - 5496108/57971, c_0011_0 - 1, c_0011_4 - 6252/57971*c_1001_3^7 - 82802/57971*c_1001_3^6 - 115818/57971*c_1001_3^5 - 120027/57971*c_1001_3^4 - 3758/1999*c_1001_3^3 - 5382/57971*c_1001_3^2 + 42061/57971*c_1001_3 + 46018/57971, c_0101_0 + 6252/57971*c_1001_3^7 + 82802/57971*c_1001_3^6 + 115818/57971*c_1001_3^5 + 120027/57971*c_1001_3^4 + 3758/1999*c_1001_3^3 + 5382/57971*c_1001_3^2 - 42061/57971*c_1001_3 - 46018/57971, c_0101_1 + 11108/57971*c_1001_3^7 + 131686/57971*c_1001_3^6 + 26410/57971*c_1001_3^5 + 237955/57971*c_1001_3^4 + 3656/1999*c_1001_3^3 + 24361/57971*c_1001_3^2 + 54156/57971*c_1001_3 - 40888/57971, c_0101_2 + c_1001_3, c_0101_3 + 7070/57971*c_1001_3^7 + 89222/57971*c_1001_3^6 + 86909/57971*c_1001_3^5 + 229475/57971*c_1001_3^4 + 4164/1999*c_1001_3^3 + 109121/57971*c_1001_3^2 + 2822/57971*c_1001_3 - 54561/57971, c_1001_3^8 + 12*c_1001_3^7 + 4*c_1001_3^6 + 20*c_1001_3^5 + 5*c_1001_3^4 + c_1001_3^3 - c_1001_3^2 - 6*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB