Magma V2.19-8 Tue Aug 20 2013 16:18:26 on localhost [Seed = 2134827594] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2632 geometric_solution 5.90839475 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307114738974 2.952689323078 0 3 0 4 0132 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 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 0.435021555602 0.450103073471 0 0 3 5 3120 0132 2103 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 -1 0 1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329173143583 1.406971604654 2 1 6 4 2103 0132 0132 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 -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 0.828742949312 0.639992112803 3 5 1 6 3012 0132 0132 1230 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 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 0.366987623410 0.196267802706 6 4 2 6 2103 0132 0132 0321 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643137816039 1.246854577140 4 5 5 3 3012 0321 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246015517697 0.766957669999 ==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' : 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' : 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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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' : 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_1'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_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_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4681936765979050/11658861081533169*c_1001_3^11 - 7995170699184268/11658861081533169*c_1001_3^10 - 1976714287526582/3886287027177723*c_1001_3^9 - 7661031561541068/1295429009059241*c_1001_3^8 + 37945474359118106/3886287027177723*c_1001_3^7 + 59109074988706697/11658861081533169*c_1001_3^6 + 1029277645377058855/11658861081533169*c_1001_3^5 + 53816162072567581/3886287027177723*c_1001_3^4 + 152936189809397179/1665551583076167*c_1001_3^3 - 993825097141655783/11658861081533169*c_1001_3^2 - 361251291861729067/11658861081533169*c_1001_3 + 6242155367131906/1295429009059241, c_0011_0 - 1, c_0011_4 + 387724821013/57432813209523*c_1001_3^11 - 624310082504/57432813209523*c_1001_3^10 - 593917413109/57432813209523*c_1001_3^9 - 5954620272470/57432813209523*c_1001_3^8 + 9129874740791/57432813209523*c_1001_3^7 + 2831798675345/19144271069841*c_1001_3^6 + 87121739895970/57432813209523*c_1001_3^5 + 12918667538894/57432813209523*c_1001_3^4 + 65310215486285/57432813209523*c_1001_3^3 - 106873301225782/57432813209523*c_1001_3^2 - 22282188897800/19144271069841*c_1001_3 + 5780798393243/6381423689947, c_0011_6 - 234142834231/57432813209523*c_1001_3^11 + 754217597216/57432813209523*c_1001_3^10 - 459030089987/57432813209523*c_1001_3^9 + 3287365746134/57432813209523*c_1001_3^8 - 10639241753960/57432813209523*c_1001_3^7 + 856212885059/6381423689947*c_1001_3^6 - 52051223744959/57432813209523*c_1001_3^5 + 64239302783356/57432813209523*c_1001_3^4 - 68499897352520/57432813209523*c_1001_3^3 + 144869286945409/57432813209523*c_1001_3^2 - 11669764058519/19144271069841*c_1001_3 + 910946808730/6381423689947, c_0101_0 - 890609336014/57432813209523*c_1001_3^11 + 2071526519762/57432813209523*c_1001_3^10 + 125068396495/57432813209523*c_1001_3^9 + 12423556196543/57432813209523*c_1001_3^8 - 28740398212952/57432813209523*c_1001_3^7 + 237794802438/6381423689947*c_1001_3^6 - 192736359170233/57432813209523*c_1001_3^5 + 82962038188864/57432813209523*c_1001_3^4 - 180281977221485/57432813209523*c_1001_3^3 + 305557984004608/57432813209523*c_1001_3^2 + 3324701786008/19144271069841*c_1001_3 - 5663950461000/6381423689947, c_0101_1 + 782869308032/57432813209523*c_1001_3^11 - 1841080292503/57432813209523*c_1001_3^10 - 292035633971/57432813209523*c_1001_3^9 - 10837479383620/57432813209523*c_1001_3^8 + 26942371810741/57432813209523*c_1001_3^7 + 298515461713/19144271069841*c_1001_3^6 + 163607439059549/57432813209523*c_1001_3^5 - 89470961041004/57432813209523*c_1001_3^4 + 116046133533850/57432813209523*c_1001_3^3 - 314432792345054/57432813209523*c_1001_3^2 + 1861745591999/19144271069841*c_1001_3 + 9871787541314/6381423689947, c_0101_2 - 219064886944/19144271069841*c_1001_3^11 + 140365350224/6381423689947*c_1001_3^10 + 273788652731/19144271069841*c_1001_3^9 + 3088259945809/19144271069841*c_1001_3^8 - 6532232622127/19144271069841*c_1001_3^7 - 2182142807920/19144271069841*c_1001_3^6 - 45259004437192/19144271069841*c_1001_3^5 + 8034441391763/19144271069841*c_1001_3^4 - 14373598279847/6381423689947*c_1001_3^3 + 21099571414455/6381423689947*c_1001_3^2 - 16082048063917/19144271069841*c_1001_3 - 5145031118434/6381423689947, c_1001_3^12 - 2*c_1001_3^11 - c_1001_3^10 - 14*c_1001_3^9 + 29*c_1001_3^8 + 9*c_1001_3^7 + 211*c_1001_3^6 - 34*c_1001_3^5 + 167*c_1001_3^4 - 295*c_1001_3^3 - 66*c_1001_3^2 + 81*c_1001_3 + 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB