Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 2176851280] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1127 geometric_solution 4.99573755 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 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 2 0 -2 2 0 -1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346326802989 0.091420735468 0 0 2 2 2310 0132 2310 0132 0 0 0 0 0 -1 0 1 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 -2 1 1 1 0 0 -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 1.959998822000 0.662349548811 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 -1 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 0 -1 1 0 0 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.079010575862 0.409110789991 2 5 6 4 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502682236514 0.879211034668 6 3 2 5 2310 1302 0132 0132 0 0 0 0 0 1 -1 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 1 -1 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 0.502682236514 0.879211034668 5 3 4 5 3201 0132 0132 2310 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003549691159 0.594867841255 6 6 4 3 1302 2031 3201 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 0 0 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 0.262627011876 0.437087950411 ==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' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 115535924099/1860508736*c_0101_3^11 + 464583185445/1860508736*c_0101_3^10 - 1148379414775/1860508736*c_0101_3^9 - 33917988725/1860508736*c_0101_3^8 + 3887075795849/930254368*c_0101_3^7 - 3162762912657/930254368*c_0101_3^6 - 10554245760745/930254368*c_0101_3^5 + 8227049066277/930254368*c_0101_3^4 + 28780906239079/1860508736*c_0101_3^3 - 27277247238735/1860508736*c_0101_3^2 - 11305007592707/1860508736*c_0101_3 + 6172666082343/1860508736, c_0011_0 - 1, c_0011_2 - 14591847/465127184*c_0101_3^11 - 31939021/232563592*c_0101_3^10 + 121724989/465127184*c_0101_3^9 + 11574123/116281796*c_0101_3^8 - 478876107/232563592*c_0101_3^7 + 28529893/29070449*c_0101_3^6 + 1416386429/232563592*c_0101_3^5 - 269801103/116281796*c_0101_3^4 - 3807183151/465127184*c_0101_3^3 + 1067973217/232563592*c_0101_3^2 + 1735937165/465127184*c_0101_3 - 10441776/29070449, c_0011_4 - 24002037/1860508736*c_0011_6*c_0101_3^11 - 84020539/1860508736*c_0011_6*c_0101_3^10 + 274575617/1860508736*c_0011_6*c_0101_3^9 - 176980381/1860508736*c_0011_6*c_0101_3^8 - 752864999/930254368*c_0011_6*c_0101_3^7 + 1063205455/930254368*c_0011_6*c_0101_3^6 + 1491393079/930254368*c_0011_6*c_0101_3^5 - 2592934987/930254368*c_0011_6*c_0101_3^4 - 2474026241/1860508736*c_0011_6*c_0101_3^3 + 8991275025/1860508736*c_0011_6*c_0101_3^2 - 1808649979/1860508736*c_0011_6*c_0101_3 - 1892510289/1860508736*c_0011_6, c_0011_6^2 + 7078473/930254368*c_0101_3^11 + 31786777/930254368*c_0101_3^10 - 61893933/930254368*c_0101_3^9 - 52031609/930254368*c_0101_3^8 + 262271175/465127184*c_0101_3^7 - 109788409/465127184*c_0101_3^6 - 830460687/465127184*c_0101_3^5 + 353872581/465127184*c_0101_3^4 + 2589052701/930254368*c_0101_3^3 - 1682460291/930254368*c_0101_3^2 - 1449920377/930254368*c_0101_3 - 115592453/930254368, c_0101_0 - 14971423/465127184*c_0101_3^11 - 60185103/465127184*c_0101_3^10 + 145172521/465127184*c_0101_3^9 - 11963615/465127184*c_0101_3^8 - 492216593/232563592*c_0101_3^7 + 396097769/232563592*c_0101_3^6 + 1261855707/232563592*c_0101_3^5 - 1006574027/232563592*c_0101_3^4 - 3474026795/465127184*c_0101_3^3 + 3160968409/465127184*c_0101_3^2 + 1535615349/465127184*c_0101_3 - 179956959/465127184, c_0101_1 - 1765379/116281796*c_0101_3^11 - 28229107/465127184*c_0101_3^10 + 37086415/232563592*c_0101_3^9 + 12278897/465127184*c_0101_3^8 - 128218571/116281796*c_0101_3^7 + 203556481/232563592*c_0101_3^6 + 91163064/29070449*c_0101_3^5 - 609585327/232563592*c_0101_3^4 - 278421735/58140898*c_0101_3^3 + 2028196597/465127184*c_0101_3^2 + 723199965/232563592*c_0101_3 - 342473215/465127184, c_0101_3^12 + 4*c_0101_3^11 - 10*c_0101_3^10 + 67*c_0101_3^8 - 56*c_0101_3^7 - 180*c_0101_3^6 + 144*c_0101_3^5 + 243*c_0101_3^4 - 236*c_0101_3^3 - 90*c_0101_3^2 + 48*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB