Magma V2.19-8 Tue Aug 20 2013 16:16:14 on localhost [Seed = 37985985] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0495 geometric_solution 4.51135819 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 1.733566802223 0.276095317433 0 2 2 0 3201 0132 1023 0132 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 -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 1.186197968048 0.892927366307 3 1 1 4 0132 0132 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 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 0.250638057526 0.210708653544 2 4 5 4 0132 2310 0132 3201 0 0 0 0 0 1 0 -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 0 0 -1 0 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 -0.228158956494 1.535649486801 5 3 2 3 0132 2310 0132 3201 0 0 0 0 0 0 1 -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 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 -0.228158956494 1.535649486801 4 6 6 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359761779944 0.202562944427 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507907053045 1.169829455087 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 633556528617158743833/149536500395530198748*c_0101_6^11 + 5955184354352118318301/149536500395530198748*c_0101_6^10 - 7002116591123728933724/37384125098882549687*c_0101_6^9 - 565319768955141598716943/149536500395530198748*c_0101_6^8 - 511594100148574397548635/37384125098882549687*c_0101_6^7 - 2418019637329737261139247/149536500395530198748*c_0101_6^6 - 77496069505717606535751/10681178599680728482*c_0101_6^5 + 88605268345184426760921/74768250197765099374*c_0101_6^4 + 308479202004187106709195/74768250197765099374*c_0101_6^3 + 439364356080908359247115/149536500395530198748*c_0101_6^2 + 37115538129360599087065/37384125098882549687*c_0101_6 + 28978588099965297998165/149536500395530198748, c_0011_0 - 1, c_0011_1 + 75893094908167741/3051765314194493852*c_0101_6^11 + 621905876620272541/3051765314194493852*c_0101_6^10 - 1049104667872304681/762941328548623463*c_0101_6^9 - 63489556274257144675/3051765314194493852*c_0101_6^8 - 41054200830859068034/762941328548623463*c_0101_6^7 - 11302316878039520239/3051765314194493852*c_0101_6^6 + 74010443895602161415/1525882657097246926*c_0101_6^5 + 35360252564597886449/1525882657097246926*c_0101_6^4 - 5977250739135613587/1525882657097246926*c_0101_6^3 - 31126576557013150421/3051765314194493852*c_0101_6^2 - 3437922097647834069/762941328548623463*c_0101_6 + 926379014829040733/3051765314194493852, c_0011_4 - 406623972625938965/3051765314194493852*c_0101_6^11 - 3797600697309295045/3051765314194493852*c_0101_6^10 + 4584427751429939535/762941328548623463*c_0101_6^9 + 362933459604077246967/3051765314194493852*c_0101_6^8 + 321318431374167435040/762941328548623463*c_0101_6^7 + 1357491254343255950995/3051765314194493852*c_0101_6^6 + 110258131908898687875/1525882657097246926*c_0101_6^5 - 245447351522566507341/1525882657097246926*c_0101_6^4 - 190932866578226263035/1525882657097246926*c_0101_6^3 - 112593042117789063991/3051765314194493852*c_0101_6^2 + 406137336071380540/762941328548623463*c_0101_6 + 5641226673468044507/3051765314194493852, c_0101_0 - 428165518391312333/3051765314194493852*c_0101_6^11 - 3829314070953166789/3051765314194493852*c_0101_6^10 + 5206622362473313106/762941328548623463*c_0101_6^9 + 373937997670446169167/3051765314194493852*c_0101_6^8 + 301333041340021888296/762941328548623463*c_0101_6^7 + 950611862289691486995/3051765314194493852*c_0101_6^6 - 77023804900126279343/1525882657097246926*c_0101_6^5 - 239076273743855898859/1525882657097246926*c_0101_6^4 - 116679196088789400507/1525882657097246926*c_0101_6^3 - 35029696302918852323/3051765314194493852*c_0101_6^2 + 4353960337741115597/762941328548623463*c_0101_6 + 3717892877840921263/3051765314194493852, c_0101_2 - 67058630335188719/1525882657097246926*c_0101_6^11 - 567527956231337403/1525882657097246926*c_0101_6^10 + 1771548771320468303/762941328548623463*c_0101_6^9 + 56939194501362929561/1525882657097246926*c_0101_6^8 + 80493396877689586652/762941328548623463*c_0101_6^7 + 64068524835818790085/1525882657097246926*c_0101_6^6 - 38821278365192273782/762941328548623463*c_0101_6^5 - 25463874791644650252/762941328548623463*c_0101_6^4 - 1404252057425052075/762941328548623463*c_0101_6^3 + 5659376920101640927/1525882657097246926*c_0101_6^2 + 1782440502479380050/762941328548623463*c_0101_6 - 250438427819007219/1525882657097246926, c_0101_3 + 589477535712611301/3051765314194493852*c_0101_6^11 + 5433770013775051525/3051765314194493852*c_0101_6^10 - 6813056444499858324/762941328548623463*c_0101_6^9 - 522891849814482062059/3051765314194493852*c_0101_6^8 - 449800018178698065779/762941328548623463*c_0101_6^7 - 1742838450374050779807/3051765314194493852*c_0101_6^6 - 49149332492163156021/1525882657097246926*c_0101_6^5 + 349534261168851340267/1525882657097246926*c_0101_6^4 + 220232020205467776571/1525882657097246926*c_0101_6^3 + 114593225657002703251/3051765314194493852*c_0101_6^2 - 1900764903796832059/762941328548623463*c_0101_6 - 6455282097907625675/3051765314194493852, c_0101_6^12 + 10*c_0101_6^11 - 39*c_0101_6^10 - 923*c_0101_6^9 - 3747*c_0101_6^8 - 5363*c_0101_6^7 - 2541*c_0101_6^6 + 1012*c_0101_6^5 + 1700*c_0101_6^4 + 817*c_0101_6^3 + 151*c_0101_6^2 - 19*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB