Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 2884253537] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1689 geometric_solution 5.40858772 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 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 -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 0.516454229714 0.495422179669 0 3 2 4 0132 0132 1230 0132 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 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 0.991631415244 0.967303845001 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -1 0 -1 0 0 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 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 0.991631415244 0.967303845001 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 -1 1 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 0.082609177732 0.644262792377 2 5 1 5 2310 0132 0132 1023 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 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 1.490859447127 0.537818753334 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 1 -1 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 0.824535220168 0.347509355893 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 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 0.800100649007 0.166198161384 ==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' : negation(d['1']), 's_2_0' : negation(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_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 29463294235244345677/702820661852645424*c_0101_6^14 + 11591387335916798654/43926291365790339*c_0101_6^13 + 3038145130147288835/13015197441715656*c_0101_6^12 - 1852439255066754908357/702820661852645424*c_0101_6^11 - 1462726503341759834165/175705165463161356*c_0101_6^10 + 16598215734715789823/21297595813716528*c_0101_6^9 + 4964896765871528388383/175705165463161356*c_0101_6^8 + 8983995320184936909133/351410330926322712*c_0101_6^7 - 2938301837730652422917/175705165463161356*c_0101_6^6 - 9621205648032151770745/351410330926322712*c_0101_6^5 - 1346286650441743621933/351410330926322712*c_0101_6^4 + 625423228956375414053/234273553950881808*c_0101_6^3 - 64518341035395672437/43926291365790339*c_0101_6^2 + 96027781125852913351/702820661852645424*c_0101_6 + 446915022930422983441/702820661852645424, c_0011_0 - 1, c_0011_4 - 6809200298357137/3993299215071849*c_0101_1*c_0101_6^14 - 86674296081757885/7986598430143698*c_0101_1*c_0101_6^13 - 1501732534865107/147899970928587*c_0101_1*c_0101_6^12 + 855036002647325437/7986598430143698*c_0101_1*c_0101_6^11 + 2765706104484855319/7986598430143698*c_0101_1*c_0101_6^10 - 36820368330800825/2662199476714566*c_0101_1*c_0101_6^9 - 4656004991239222955/3993299215071849*c_0101_1*c_0101_6^8 - 8864624173115634619/7986598430143698*c_0101_1*c_0101_6^7 + 2640792579763052432/3993299215071849*c_0101_1*c_0101_6^6 + 9451202388934875079/7986598430143698*c_0101_1*c_0101_6^5 + 746526352155772715/3993299215071849*c_0101_1*c_0101_6^4 - 334972002835498543/2662199476714566*c_0101_1*c_0101_6^3 + 476071113062878249/7986598430143698*c_0101_1*c_0101_6^2 - 11465631104193047/7986598430143698*c_0101_1*c_0101_6 - 115809213739232140/3993299215071849*c_0101_1, c_0101_0 - 163772861525171/1331099738357283*c_0101_6^14 - 1001631303662026/1331099738357283*c_0101_6^13 - 26998337257529/49299990309529*c_0101_6^12 + 10438630024146439/1331099738357283*c_0101_6^11 + 30600672284134369/1331099738357283*c_0101_6^10 - 2933855600890100/443699912785761*c_0101_6^9 - 108741333309928066/1331099738357283*c_0101_6^8 - 78090770483284294/1331099738357283*c_0101_6^7 + 80674012042157089/1331099738357283*c_0101_6^6 + 86461062765724126/1331099738357283*c_0101_6^5 - 6707613734328929/1331099738357283*c_0101_6^4 - 1446398924887912/443699912785761*c_0101_6^3 + 11453479421334220/1331099738357283*c_0101_6^2 - 1501701766223819/1331099738357283*c_0101_6 - 2304270767714966/1331099738357283, c_0101_1^2 + 78482690456581/443699912785761*c_0101_6^14 + 476111335631801/443699912785761*c_0101_6^13 + 37518318786970/49299990309529*c_0101_6^12 - 4952916615950978/443699912785761*c_0101_6^11 - 14403855684660632/443699912785761*c_0101_6^10 + 1383343947000607/147899970928587*c_0101_6^9 + 50075673173748233/443699912785761*c_0101_6^8 + 36684999925367156/443699912785761*c_0101_6^7 - 32904384316652897/443699912785761*c_0101_6^6 - 37705269675150035/443699912785761*c_0101_6^5 - 4287399906764705/443699912785761*c_0101_6^4 - 436595227386283/147899970928587*c_0101_6^3 - 1968347599553249/443699912785761*c_0101_6^2 + 1466598910026226/443699912785761*c_0101_6 + 564897927956581/443699912785761, c_0101_2 + 1513715591567461/1331099738357283*c_0101_6^14 + 9674966896812983/1331099738357283*c_0101_6^13 + 342219381366828/49299990309529*c_0101_6^12 - 94995945499215935/1331099738357283*c_0101_6^11 - 310078151336217470/1331099738357283*c_0101_6^10 + 2064353298997966/443699912785761*c_0101_6^9 + 1041162005456308247/1331099738357283*c_0101_6^8 + 1009686422603597090/1331099738357283*c_0101_6^7 - 582339362067791780/1331099738357283*c_0101_6^6 - 1075847476669605266/1331099738357283*c_0101_6^5 - 175237416694682138/1331099738357283*c_0101_6^4 + 39733068294477911/443699912785761*c_0101_6^3 - 52378962676099700/1331099738357283*c_0101_6^2 + 310477534932382/1331099738357283*c_0101_6 + 26199955721049016/1331099738357283, c_0101_5 + 2100796940921246/3993299215071849*c_0101_6^14 + 13460279203466689/3993299215071849*c_0101_6^13 + 483258770669531/147899970928587*c_0101_6^12 - 131546616446940061/3993299215071849*c_0101_6^11 - 432304505757867304/3993299215071849*c_0101_6^10 + 333309606799262/1331099738357283*c_0101_6^9 + 1442148077314731583/3993299215071849*c_0101_6^8 + 1423533568339029916/3993299215071849*c_0101_6^7 - 777186547593577696/3993299215071849*c_0101_6^6 - 1496969980106036041/3993299215071849*c_0101_6^5 - 270393104143444918/3993299215071849*c_0101_6^4 + 52050074857709746/1331099738357283*c_0101_6^3 - 69049868920235398/3993299215071849*c_0101_6^2 - 840342637298299/3993299215071849*c_0101_6 + 36941041423892555/3993299215071849, c_0101_6^15 + 7*c_0101_6^14 + 10*c_0101_6^13 - 59*c_0101_6^12 - 243*c_0101_6^11 - 121*c_0101_6^10 + 689*c_0101_6^9 + 1086*c_0101_6^8 + 26*c_0101_6^7 - 942*c_0101_6^6 - 552*c_0101_6^5 + 5*c_0101_6^4 + 13*c_0101_6^3 - 21*c_0101_6^2 + 18*c_0101_6 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB