Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 1932717996] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1433 geometric_solution 5.26275005 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0.585581809633 0.234754525730 2 0 3 0 0132 2310 0132 0132 0 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 -1 1 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 1.125799105826 0.555901363237 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 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 0.981209600062 0.756784650306 5 2 4 1 0132 1230 1023 0132 0 0 0 0 0 -1 0 1 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 -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 0.981209600062 0.756784650305 4 2 3 4 3201 0132 1023 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.211561904465 0.781063666318 3 6 2 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 1 -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 1.565302011421 0.330486633509 5 5 6 6 3201 0132 1230 3012 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 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 0.555860034456 0.568782880511 ==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' : d['c_0110_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_0']), '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_1, c_0011_3, c_0101_1, c_0101_3, c_0110_0, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 841541802912341156/4182662747111673*c_0110_6^12 - 4578704635345240390/4182662747111673*c_0110_6^11 - 7628649708058687567/4182662747111673*c_0110_6^10 + 67892353794713256059/4182662747111673*c_0110_6^9 - 8775512664875773395/1394220915703891*c_0110_6^8 - 275433659697459486941/4182662747111673*c_0110_6^7 + 301565856773538355244/4182662747111673*c_0110_6^6 + 164525051869625540674/4182662747111673*c_0110_6^5 - 20938298010285384718/380242067919243*c_0110_6^4 - 18220692976127156701/4182662747111673*c_0110_6^3 + 71235860180917232098/4182662747111673*c_0110_6^2 - 15328516008140353376/4182662747111673*c_0110_6 - 342815875620598885/1394220915703891, c_0011_0 - 1, c_0011_1 + 600446338009832/1394220915703891*c_0110_6^12 - 2836917452853456/1394220915703891*c_0110_6^11 - 7562869320014148/1394220915703891*c_0110_6^10 + 43471269905888507/1394220915703891*c_0110_6^9 + 13288405146528220/1394220915703891*c_0110_6^8 - 193666871966625116/1394220915703891*c_0110_6^7 + 77102181062581805/1394220915703891*c_0110_6^6 + 200338830787033709/1394220915703891*c_0110_6^5 - 3868594985912525/126747355973081*c_0110_6^4 - 63410769588961042/1394220915703891*c_0110_6^3 + 16635180895491702/1394220915703891*c_0110_6^2 + 5432192930987936/1394220915703891*c_0110_6 - 372460677623591/1394220915703891, c_0011_3 + 259899082707888/1394220915703891*c_0110_6^12 - 1241418894176728/1394220915703891*c_0110_6^11 - 3198077401071252/1394220915703891*c_0110_6^10 + 18992249149320188/1394220915703891*c_0110_6^9 + 4518136841562710/1394220915703891*c_0110_6^8 - 84519978735731152/1394220915703891*c_0110_6^7 + 39185488015674320/1394220915703891*c_0110_6^6 + 88582861970326663/1394220915703891*c_0110_6^5 - 2268165836931058/126747355973081*c_0110_6^4 - 36469202925335001/1394220915703891*c_0110_6^3 + 7562772055880539/1394220915703891*c_0110_6^2 + 5502127466058689/1394220915703891*c_0110_6 - 108919248377194/1394220915703891, c_0101_1 - 24615520365512/1394220915703891*c_0110_6^12 - 198673548988672/1394220915703891*c_0110_6^11 + 1959208333769220/1394220915703891*c_0110_6^10 + 1554325005579425/1394220915703891*c_0110_6^9 - 25665237357544258/1394220915703891*c_0110_6^8 + 10118531115840678/1394220915703891*c_0110_6^7 + 105626616277969090/1394220915703891*c_0110_6^6 - 86314566007335818/1394220915703891*c_0110_6^5 - 8691530074524512/126747355973081*c_0110_6^4 + 53387870149073690/1394220915703891*c_0110_6^3 + 27083296250816761/1394220915703891*c_0110_6^2 - 13433713805731191/1394220915703891*c_0110_6 - 89804154312898/1394220915703891, c_0101_3 - 276759757584696/1394220915703891*c_0110_6^12 + 1451266793083436/1394220915703891*c_0110_6^11 + 2836305388474222/1394220915703891*c_0110_6^10 - 21924010377166548/1394220915703891*c_0110_6^9 + 3743810869160792/1394220915703891*c_0110_6^8 + 93509983995098272/1394220915703891*c_0110_6^7 - 79093800053388897/1394220915703891*c_0110_6^6 - 78321790866176035/1394220915703891*c_0110_6^5 + 5806239380241262/126747355973081*c_0110_6^4 + 23571789357731539/1394220915703891*c_0110_6^3 - 22787054838312071/1394220915703891*c_0110_6^2 - 25349046617758/1394220915703891*c_0110_6 + 559927646963347/1394220915703891, c_0110_0 - 1291697307721400/1394220915703891*c_0110_6^12 + 6811007726702336/1394220915703891*c_0110_6^11 + 12760509003485008/1394220915703891*c_0110_6^10 - 101635331266647359/1394220915703891*c_0110_6^9 + 24478917227340727/1394220915703891*c_0110_6^8 + 420455461340984089/1394220915703891*c_0110_6^7 - 393771599575317987/1394220915703891*c_0110_6^6 - 291729497423384652/1394220915703891*c_0110_6^5 + 26358978368065896/126747355973081*c_0110_6^4 + 55734778641246350/1394220915703891*c_0110_6^3 - 91252113853768145/1394220915703891*c_0110_6^2 + 12199315823522967/1394220915703891*c_0110_6 + 1200478099815128/1394220915703891, c_0110_6^13 - 11/2*c_0110_6^12 - 35/4*c_0110_6^11 + 325/4*c_0110_6^10 - 36*c_0110_6^9 - 326*c_0110_6^8 + 378*c_0110_6^7 + 353/2*c_0110_6^6 - 288*c_0110_6^5 - 13/2*c_0110_6^4 + 88*c_0110_6^3 - 93/4*c_0110_6^2 - 3/4*c_0110_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB