Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 4256981393] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s822 geometric_solution 5.38917360 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 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 -1 0 1 0 0 -1 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 0.466787023458 0.297400418993 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009443994888 0.673426769465 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369251901660 0.904973166844 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.369251901660 0.904973166844 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.084935276994 0.905081910323 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118869320328 1.264622059493 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_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_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], '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_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : 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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 427907809394192/4204642892843*c_0101_4^21 + 2465241648879337/4204642892843*c_0101_4^19 + 15131614215257001/4204642892843*c_0101_4^17 - 12613037939499647/4204642892843*c_0101_4^15 - 241561147704608229/4204642892843*c_0101_4^13 - 262781782539362653/4204642892843*c_0101_4^11 + 1108805778055995684/4204642892843*c_0101_4^9 - 936282253487184797/4204642892843*c_0101_4^7 + 320612916542712430/4204642892843*c_0101_4^5 - 46821322949711779/4204642892843*c_0101_4^3 + 2196247834556587/4204642892843*c_0101_4, c_0011_0 - 1, c_0011_1 + 152756352990/71265133777*c_0101_4^20 - 892332665030/71265133777*c_0101_4^18 - 5333882305921/71265133777*c_0101_4^16 + 4952988093254/71265133777*c_0101_4^14 + 85976622914215/71265133777*c_0101_4^12 + 86809680821915/71265133777*c_0101_4^10 - 405015702419125/71265133777*c_0101_4^8 + 363984050254098/71265133777*c_0101_4^6 - 134108604811219/71265133777*c_0101_4^4 + 21189905670136/71265133777*c_0101_4^2 - 1128304152386/71265133777, c_0011_3 - 20692012577272/4204642892843*c_0101_4^21 + 120218851327821/4204642892843*c_0101_4^19 + 726241254036315/4204642892843*c_0101_4^17 - 647441900176886/4204642892843*c_0101_4^15 - 11664326768089269/4204642892843*c_0101_4^13 - 12133125477202409/4204642892843*c_0101_4^11 + 54435107739099779/4204642892843*c_0101_4^9 - 47588571339462729/4204642892843*c_0101_4^7 + 16945185632845737/4204642892843*c_0101_4^5 - 2611009089372314/4204642892843*c_0101_4^3 + 150592332508550/4204642892843*c_0101_4, c_0101_0 + 13022538873990/4204642892843*c_0101_4^21 - 73505594058947/4204642892843*c_0101_4^19 - 469156633072251/4204642892843*c_0101_4^17 + 329569683381903/4204642892843*c_0101_4^15 + 7392815667710555/4204642892843*c_0101_4^13 + 8857772223339833/4204642892843*c_0101_4^11 - 32757094281660518/4204642892843*c_0101_4^9 + 24615338076944278/4204642892843*c_0101_4^7 - 6680351841229215/4204642892843*c_0101_4^5 + 518897585287341/4204642892843*c_0101_4^3 + 11505060042784/4204642892843*c_0101_4, c_0101_1 + 230616398763/71265133777*c_0101_4^20 - 1340744700264/71265133777*c_0101_4^18 - 8088589770292/71265133777*c_0101_4^16 + 7245949248616/71265133777*c_0101_4^14 + 129953981839913/71265133777*c_0101_4^12 + 134688342621058/71265133777*c_0101_4^10 - 607000922771080/71265133777*c_0101_4^8 + 533661196294885/71265133777*c_0101_4^6 - 190428267345283/71265133777*c_0101_4^4 + 28485937103446/71265133777*c_0101_4^2 - 1432507891096/71265133777, c_0101_4^22 - 6*c_0101_4^20 - 34*c_0101_4^18 + 38*c_0101_4^16 + 558*c_0101_4^14 + 479*c_0101_4^12 - 2746*c_0101_4^10 + 2796*c_0101_4^8 - 1238*c_0101_4^6 + 267*c_0101_4^4 - 27*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB