Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 324177856] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1403 geometric_solution 5.24787001 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 -1 0 1 -1 0 0 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 0 1 -1 1 0 0 -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 -0.705986281516 0.310822675333 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 1 0 0 -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 1.134860354752 1.239552921673 4 5 1 3 0132 0132 0132 3012 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 0 0 0 0 0 0 0.951633237920 0.817183039624 5 4 2 1 3201 2310 1230 0132 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 -1 1 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 0.951633237920 0.817183039624 2 6 6 3 0132 0132 3201 3201 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 -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 0.233131906408 0.518416024385 5 2 5 3 2031 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593349883862 0.462505565031 4 4 6 6 2310 0132 1230 3012 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 0 0 -1 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 1.976455069587 0.821583277453 ==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_0101_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_0101_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], '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' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), '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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 6998655509366655023/293572682430082325*c_0101_6^17 + 1909331993753122826/293572682430082325*c_0101_6^16 - 124388229771410485427/293572682430082325*c_0101_6^15 - 33729491860818572574/293572682430082325*c_0101_6^14 + 149730705846280579113/58714536486016465*c_0101_6^13 + 459595052998392478831/293572682430082325*c_0101_6^12 - 1775451298794821043002/293572682430082325*c_0101_6^11 - 2649409068878940729688/293572682430082325*c_0101_6^10 + 1616717014929924472971/293572682430082325*c_0101_6^9 + 4000789955593835042376/293572682430082325*c_0101_6^8 + 1684309641642702199174/293572682430082325*c_0101_6^7 - 2484659478521431622602/293572682430082325*c_0101_6^6 - 99562308349463860659/293572682430082325*c_0101_6^5 + 1064067951949186926889/293572682430082325*c_0101_6^4 - 71041294539070700978/58714536486016465*c_0101_6^3 - 83747470241881182357/293572682430082325*c_0101_6^2 + 18730721702228602309/293572682430082325*c_0101_6 + 4344680733361709154/293572682430082325, c_0011_0 - 1, c_0011_2 + 340173857697749572/293572682430082325*c_0101_6^17 + 148263789433388644/293572682430082325*c_0101_6^16 - 6059910817926122533/293572682430082325*c_0101_6^15 - 2639208578281767066/293572682430082325*c_0101_6^14 + 7327502598774111252/58714536486016465*c_0101_6^13 + 28520117193474656434/293572682430082325*c_0101_6^12 - 85751042137330067818/293572682430082325*c_0101_6^11 - 145394990543255033757/293572682430082325*c_0101_6^10 + 64646984188884663239/293572682430082325*c_0101_6^9 + 219730330841552860114/293572682430082325*c_0101_6^8 + 108913017955709665646/293572682430082325*c_0101_6^7 - 125279799903219781768/293572682430082325*c_0101_6^6 - 34207856588030586426/293572682430082325*c_0101_6^5 + 59866883684119672606/293572682430082325*c_0101_6^4 - 290564441520892986/11742907297203293*c_0101_6^3 - 12426468114154828778/293572682430082325*c_0101_6^2 + 736350144904924046/293572682430082325*c_0101_6 + 1054181025729049086/293572682430082325, c_0101_0 + 50566121761010657/293572682430082325*c_0101_6^17 + 33225486662384324/293572682430082325*c_0101_6^16 - 892341167461783883/293572682430082325*c_0101_6^15 - 592141953406587031/293572682430082325*c_0101_6^14 + 1059138017592428412/58714536486016465*c_0101_6^13 + 5453489549204312854/293572682430082325*c_0101_6^12 - 11424762002972848663/293572682430082325*c_0101_6^11 - 24349648743467453367/293572682430082325*c_0101_6^10 + 3849464472046152749/293572682430082325*c_0101_6^9 + 33779589452149787009/293572682430082325*c_0101_6^8 + 24751163856892276696/293572682430082325*c_0101_6^7 - 13372097664133474513/293572682430082325*c_0101_6^6 - 9019793835500512331/293572682430082325*c_0101_6^5 + 6163509007837496256/293572682430082325*c_0101_6^4 + 293823735435592954/58714536486016465*c_0101_6^3 - 1664195773860891328/293572682430082325*c_0101_6^2 - 725498695922243959/293572682430082325*c_0101_6 + 112927575600040001/293572682430082325, c_0101_1 + 230260539856331414/293572682430082325*c_0101_6^17 + 83818130383047278/293572682430082325*c_0101_6^16 - 4110217367549835971/293572682430082325*c_0101_6^15 - 1489382473958525492/293572682430082325*c_0101_6^14 + 4989150965082408324/58714536486016465*c_0101_6^13 + 17480157737747222508/293572682430082325*c_0101_6^12 - 59516112024090719266/293572682430082325*c_0101_6^11 - 94024350425122014109/293572682430082325*c_0101_6^10 + 51013130971217058068/293572682430082325*c_0101_6^9 + 145213576110844619418/293572682430082325*c_0101_6^8 + 62392361333903203002/293572682430082325*c_0101_6^7 - 89333652935212368566/293572682430082325*c_0101_6^6 - 16409800698506536562/293572682430082325*c_0101_6^5 + 42053484307081945797/293572682430082325*c_0101_6^4 - 369917566298108751/11742907297203293*c_0101_6^3 - 7438693590726287036/293572682430082325*c_0101_6^2 + 1458750531584880252/293572682430082325*c_0101_6 + 550541533189141832/293572682430082325, c_0101_3 - 92192886834594924/293572682430082325*c_0101_6^17 - 85000460425503498/293572682430082325*c_0101_6^16 + 1621673532974737136/293572682430082325*c_0101_6^15 + 1509386634739235172/293572682430082325*c_0101_6^14 - 1912236698068870204/58714536486016465*c_0101_6^13 - 12479489128247631503/293572682430082325*c_0101_6^12 + 19356550190928225506/293572682430082325*c_0101_6^11 + 50192682363940778344/293572682430082325*c_0101_6^10 + 1790252086650265762/293572682430082325*c_0101_6^9 - 66557829297544022438/293572682430082325*c_0101_6^8 - 57462458438457448007/293572682430082325*c_0101_6^7 + 17710918786379221481/293572682430082325*c_0101_6^6 + 23394254506477542892/293572682430082325*c_0101_6^5 - 11893966013857887552/293572682430082325*c_0101_6^4 - 172931988008027944/11742907297203293*c_0101_6^3 + 3940520738834147226/293572682430082325*c_0101_6^2 + 892806238986140168/293572682430082325*c_0101_6 - 258723249890586212/293572682430082325, c_0101_4 - 323295251091432261/293572682430082325*c_0101_6^17 - 132562872183953427/293572682430082325*c_0101_6^16 + 5765489523233718859/293572682430082325*c_0101_6^15 + 2363349956729852788/293572682430082325*c_0101_6^14 - 6985206730872702936/58714536486016465*c_0101_6^13 - 26269684745099255067/293572682430082325*c_0101_6^12 + 82394413907002764724/293572682430082325*c_0101_6^11 + 136529060078768357066/293572682430082325*c_0101_6^10 - 65116463329679874827/293572682430082325*c_0101_6^9 - 208665372850019722682/293572682430082325*c_0101_6^8 - 99272788394008741433/293572682430082325*c_0101_6^7 + 122628574844521564199/293572682430082325*c_0101_6^6 + 32007093027910255838/293572682430082325*c_0101_6^5 - 56685911062758190763/293572682430082325*c_0101_6^4 + 1642386018163937853/58714536486016465*c_0101_6^3 + 11275610977060289219/293572682430082325*c_0101_6^2 - 776266231134806918/293572682430082325*c_0101_6 - 1006009027511950873/293572682430082325, c_0101_6^18 - 18*c_0101_6^16 + 111*c_0101_6^14 + 37*c_0101_6^13 - 288*c_0101_6^12 - 318*c_0101_6^11 + 374*c_0101_6^10 + 563*c_0101_6^9 + 44*c_0101_6^8 - 505*c_0101_6^7 + 55*c_0101_6^6 + 214*c_0101_6^5 - 96*c_0101_6^4 - 24*c_0101_6^3 + 16*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB