Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 105356033] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3485 geometric_solution 6.72628129 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567961793363 0.484985757109 0 3 2 4 0132 0132 1230 0132 0 0 0 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 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 0.981767372076 0.869474545186 5 0 6 1 0132 0132 0132 3012 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 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 0.981767372076 0.869474545186 4 1 5 5 1302 0132 0321 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430283491685 0.648812243410 6 3 1 6 1230 2031 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.582722196457 0.777434406889 2 6 3 3 0132 2031 0321 2103 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430283491685 0.648812243410 5 4 4 2 1302 3012 1230 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582722196457 0.777434406889 ==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' : 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_0011_6'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0110_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' : d['c_0110_3'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 15632/29*c_0110_3^8 + 35488/29*c_0110_3^7 + 21928/29*c_0110_3^6 - 13616/29*c_0110_3^5 - 18087/29*c_0110_3^4 + 6063/29*c_0110_3^3 + 14733/58*c_0110_3^2 - 9407/58*c_0110_3 + 1625/58, c_0011_0 - 1, c_0011_4 - 192/29*c_0110_3^8 - 784/29*c_0110_3^7 - 1232/29*c_0110_3^6 - 832/29*c_0110_3^5 + 12/29*c_0110_3^4 + 283/29*c_0110_3^3 + 20/29*c_0110_3^2 - 46/29*c_0110_3 + 20/29, c_0011_6 - 192/29*c_0110_3^8 - 784/29*c_0110_3^7 - 1232/29*c_0110_3^6 - 832/29*c_0110_3^5 + 12/29*c_0110_3^4 + 283/29*c_0110_3^3 + 20/29*c_0110_3^2 - 46/29*c_0110_3 + 20/29, c_0101_0 + 208/29*c_0110_3^8 + 656/29*c_0110_3^7 + 832/29*c_0110_3^6 + 360/29*c_0110_3^5 - 187/29*c_0110_3^4 - 164/29*c_0110_3^3 + 75/29*c_0110_3^2 + 45/29*c_0110_3 - 12/29, c_0101_1 + 80/29*c_0110_3^8 + 288/29*c_0110_3^7 + 320/29*c_0110_3^6 - 40/29*c_0110_3^5 - 411/29*c_0110_3^4 - 275/29*c_0110_3^3 + 40/29*c_0110_3^2 + 53/29*c_0110_3 - 18/29, c_0101_2 - c_0110_3, c_0110_3^9 + 3*c_0110_3^8 + 3*c_0110_3^7 - 31/16*c_0110_3^5 - 1/2*c_0110_3^4 + 3/4*c_0110_3^3 - 3/16*c_0110_3 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB