Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 4256981283] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1469 geometric_solution 5.28793627 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 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 0.301560401090 0.486939554985 3 2 4 0 0132 3012 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506796126175 1.011155268247 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 -1 1 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 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 0.506796126175 1.011155268247 1 2 3 3 0132 0132 1230 3012 0 0 0 0 0 1 -1 0 0 0 -1 1 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 1.050852657973 1.167135289939 5 2 5 1 0132 2310 2310 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654694506700 1.957546623075 4 4 6 6 0132 3201 3201 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 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 0.271667742625 0.169723899263 5 6 5 6 2310 2310 0132 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 -1 1 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.698439598910 0.486939554985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : 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' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1620664779206/5797895253*c_0101_4^9 - 76732556802136/5797895253*c_0101_4^7 + 719571179643421/5797895253*c_0101_4^5 + 78357140966309/1932631751*c_0101_4^3 + 25409418858350/5797895253*c_0101_4, c_0011_0 - 1, c_0011_1 - 1198938554/1932631751*c_0101_4^9 + 56862301313/1932631751*c_0101_4^7 - 536925990768/1932631751*c_0101_4^5 - 130378382841/1932631751*c_0101_4^3 - 9462722274/1932631751*c_0101_4, c_0011_4 + 48711003/1932631751*c_0101_4^8 - 2314390244/1932631751*c_0101_4^6 + 22004321117/1932631751*c_0101_4^4 + 3970460097/1932631751*c_0101_4^2 - 1060590328/1932631751, c_0011_6 + 48711003/1932631751*c_0101_4^8 - 2314390244/1932631751*c_0101_4^6 + 22004321117/1932631751*c_0101_4^4 + 3970460097/1932631751*c_0101_4^2 + 872041423/1932631751, c_0101_0 - 126655441/1932631751*c_0101_4^8 + 5991608917/1932631751*c_0101_4^6 - 56010868221/1932631751*c_0101_4^4 - 20250070187/1932631751*c_0101_4^2 - 1191387983/1932631751, c_0101_1 - 875099401/1932631751*c_0101_4^9 + 41469100198/1932631751*c_0101_4^7 - 390272581885/1932631751*c_0101_4^5 - 110321821475/1932631751*c_0101_4^3 - 11821437807/1932631751*c_0101_4, c_0101_4^10 - 521/11*c_0101_4^8 + 4893/11*c_0101_4^6 + 1510/11*c_0101_4^4 + 155/11*c_0101_4^2 - 1/11 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 561/232*c_0101_4^9 - 933/232*c_0101_4^7 + 4695/116*c_0101_4^5 - 6505/116*c_0101_4^3 + 5807/232*c_0101_4, c_0011_0 - 1, c_0011_1 + 1/58*c_0101_4^9 + 15/58*c_0101_4^7 + 9/29*c_0101_4^5 - 89/29*c_0101_4^3 + 153/58*c_0101_4, c_0011_4 + 5/29*c_0101_4^8 + 17/29*c_0101_4^6 - 55/29*c_0101_4^4 + 9/29*c_0101_4^2 + 11/29, c_0011_6 - 1, c_0101_0 + 11/29*c_0101_4^8 + 20/29*c_0101_4^6 - 179/29*c_0101_4^4 + 246/29*c_0101_4^2 - 86/29, c_0101_1 - 9/58*c_0101_4^9 - 19/58*c_0101_4^7 + 64/29*c_0101_4^5 - 98/29*c_0101_4^3 + 131/58*c_0101_4, c_0101_4^10 + c_0101_4^8 - 18*c_0101_4^6 + 34*c_0101_4^4 - 23*c_0101_4^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB