Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 678016202] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2071 geometric_solution 5.58893610 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 2310 0 0 0 0 0 -1 -1 2 1 0 0 -1 -1 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.771457302867 0.811858306525 0 0 3 2 3201 0132 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 -2 1 0 1 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574407961975 1.443525700213 4 5 1 5 0132 0132 0132 2310 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 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 1.051144938148 0.647231850613 6 4 6 1 0132 2310 2310 0132 0 0 0 0 0 0 -1 1 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 -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 1.051144938148 0.647231850613 2 4 4 3 0132 3201 2310 3201 0 0 0 0 0 1 -1 0 0 0 -1 1 -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 0.599878125376 0.703412171229 2 2 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 -1 0 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 -1 0 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 0.477294727696 0.310702037653 3 3 5 5 0132 3201 1230 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477294727696 0.310702037653 ==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' : 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_5'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 540818381002007/15092686206952*c_0110_5^15 - 186797620205625/7546343103476*c_0110_5^14 + 650801775689387/1886585775869*c_0110_5^13 - 4305812083532847/15092686206952*c_0110_5^12 + 878614248888776/1886585775869*c_0110_5^11 - 13075980867428587/15092686206952*c_0110_5^10 - 37610635023926149/15092686206952*c_0110_5^9 - 29325376847993451/15092686206952*c_0110_5^8 - 5941951981809401/15092686206952*c_0110_5^7 + 6552414247513253/7546343103476*c_0110_5^6 + 11637050900136457/7546343103476*c_0110_5^5 + 2045778501106377/1886585775869*c_0110_5^4 - 83500685520450/1886585775869*c_0110_5^3 + 733800007696069/15092686206952*c_0110_5^2 - 3819022135526803/7546343103476*c_0110_5 - 439180680522529/15092686206952, c_0011_0 - 1, c_0011_2 + 1061360823495/3773171551738*c_0110_5^15 - 285719288991/1886585775869*c_0110_5^14 + 5094543159285/1886585775869*c_0110_5^13 - 6760339747871/3773171551738*c_0110_5^12 + 6698725090920/1886585775869*c_0110_5^11 - 22471211860217/3773171551738*c_0110_5^10 - 75972271696449/3773171551738*c_0110_5^9 - 69401250469101/3773171551738*c_0110_5^8 - 27561294736535/3773171551738*c_0110_5^7 + 863627036352/1886585775869*c_0110_5^6 + 11089290499816/1886585775869*c_0110_5^5 + 10403318740297/1886585775869*c_0110_5^4 - 2217490874268/1886585775869*c_0110_5^3 + 6088841870931/3773171551738*c_0110_5^2 - 4631401599195/1886585775869*c_0110_5 + 2052475025577/3773171551738, c_0101_1 - 193273312725/7546343103476*c_0110_5^15 + 90677346691/1886585775869*c_0110_5^14 - 951405488931/3773171551738*c_0110_5^13 + 3636285594293/7546343103476*c_0110_5^12 - 875504923736/1886585775869*c_0110_5^11 + 6593605948873/7546343103476*c_0110_5^10 + 6924387825613/7546343103476*c_0110_5^9 - 7297923913415/7546343103476*c_0110_5^8 - 19363419137617/7546343103476*c_0110_5^7 - 2341193356434/1886585775869*c_0110_5^6 + 6175158837279/1886585775869*c_0110_5^5 + 4958075645560/1886585775869*c_0110_5^4 + 7425655708537/3773171551738*c_0110_5^3 + 5214121665871/7546343103476*c_0110_5^2 + 575860430577/1886585775869*c_0110_5 - 4620399166773/7546343103476, c_0101_2 + 376487014703/3773171551738*c_0110_5^15 - 133691047237/1886585775869*c_0110_5^14 + 2063110997534/1886585775869*c_0110_5^13 - 3203849114369/3773171551738*c_0110_5^12 + 4847493753537/1886585775869*c_0110_5^11 - 11086541142947/3773171551738*c_0110_5^10 - 20110171663859/3773171551738*c_0110_5^9 - 28696116488071/3773171551738*c_0110_5^8 - 41378835325191/3773171551738*c_0110_5^7 - 16624715442775/1886585775869*c_0110_5^6 - 4908669317559/1886585775869*c_0110_5^5 + 1308221032841/1886585775869*c_0110_5^4 + 476064686833/1886585775869*c_0110_5^3 + 9412541091263/3773171551738*c_0110_5^2 - 420094946942/1886585775869*c_0110_5 + 2678577927761/3773171551738, c_0101_3 - c_0110_5, c_0101_4 - 2335271362527/15092686206952*c_0110_5^15 + 242622702150/1886585775869*c_0110_5^14 - 11465039510779/7546343103476*c_0110_5^13 + 22014479459503/15092686206952*c_0110_5^12 - 4439451153776/1886585775869*c_0110_5^11 + 64085869752555/15092686206952*c_0110_5^10 + 147052508243407/15092686206952*c_0110_5^9 + 116313331062371/15092686206952*c_0110_5^8 + 12138024899461/15092686206952*c_0110_5^7 - 10246644110273/3773171551738*c_0110_5^6 - 10178362872049/1886585775869*c_0110_5^5 - 7079107884494/1886585775869*c_0110_5^4 + 4564461159593/7546343103476*c_0110_5^3 - 17114520258167/15092686206952*c_0110_5^2 + 5229638401237/3773171551738*c_0110_5 - 8167770166719/15092686206952, c_0110_5^16 - c_0110_5^15 + 10*c_0110_5^14 - 11*c_0110_5^13 + 17*c_0110_5^12 - 29*c_0110_5^11 - 60*c_0110_5^10 - 36*c_0110_5^9 - 6*c_0110_5^8 + 15*c_0110_5^7 + 28*c_0110_5^6 + 16*c_0110_5^5 - 6*c_0110_5^4 + 7*c_0110_5^3 - 13*c_0110_5^2 + 5*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB