Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 543276374] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3046 geometric_solution 6.21978040 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -1 1 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 0.516380825780 0.760492869138 0 3 4 5 0132 2103 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595416396934 0.936294398927 5 0 3 6 0321 0132 3201 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676916780618 0.899489363553 2 1 5 0 2310 2103 2031 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 0 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 0.558884107806 0.266592829890 4 4 0 1 1230 3012 0132 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 1 -1 0 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.388897390523 0.899993093503 2 6 1 3 0321 3120 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465858008045 0.709769729673 6 5 2 6 3201 3120 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059273973233 0.591216341652 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 24291495777536951714759/1435422332938683891619320*c_1001_0^16 + 51656392714219399841159/1435422332938683891619320*c_1001_0^15 - 54063492515044695135049/239237055489780648603220*c_1001_0^14 - 883638093081805240450/35885558323467097290483*c_1001_0^13 - 651351284077502188819803/478474110979561297206440*c_1001_0^12 - 515880548299038100384769/358855583234670972904830*c_1001_0^11 + 3059876756277186301099601/1435422332938683891619320*c_1001_0^10 - 3297976635423130006018219/1435422332938683891619320*c_1001_0^9 + 1844014249715691802342667/358855583234670972904830*c_1001_0^8 + 61761512907482714285443/14212102306323602887320*c_1001_0^7 - 557783378912090968654987/717711166469341945809660*c_1001_0^6 + 80444925936329146458382/59809263872445162150805*c_1001_0^5 - 262662187811030098582337/358855583234670972904830*c_1001_0^4 + 530692384385757777247011/239237055489780648603220*c_1001_0^3 + 208642031780110274301679/287084466587736778323864*c_1001_0^2 + 700184059482680342225173/358855583234670972904830*c_1001_0 - 806065229702115732243383/1435422332938683891619320, c_0011_0 - 1, c_0011_3 + 5210915252077818052609/358855583234670972904830*c_1001_0^16 - 6986832326799305042942/179427791617335486452415*c_1001_0^15 + 10975119793613933746279/59809263872445162150805*c_1001_0^14 - 1240780893318635790553/35885558323467097290483*c_1001_0^13 + 102921814725113993198863/119618527744890324301610*c_1001_0^12 + 128553616484693915395471/358855583234670972904830*c_1001_0^11 - 736047979299526745141393/179427791617335486452415*c_1001_0^10 + 217249326829352489747609/358855583234670972904830*c_1001_0^9 + 474966404513382123600677/358855583234670972904830*c_1001_0^8 + 2273839476669915879506/1776512788290450360915*c_1001_0^7 - 102478015290989653831888/179427791617335486452415*c_1001_0^6 + 33574130255630451155437/59809263872445162150805*c_1001_0^5 - 72082555442806194885931/179427791617335486452415*c_1001_0^4 + 40817781341270104813304/59809263872445162150805*c_1001_0^3 - 31108111164708315006179/71771116646934194580966*c_1001_0^2 - 50026421793815920824977/358855583234670972904830*c_1001_0 - 14526577342009082596381/179427791617335486452415, c_0011_4 - 1818895908410321847667/358855583234670972904830*c_1001_0^16 + 2116646154169486684651/179427791617335486452415*c_1001_0^15 - 13706976691702903162006/179427791617335486452415*c_1001_0^14 + 250225824216690109148/11961852774489032430161*c_1001_0^13 - 57826214357778881701359/119618527744890324301610*c_1001_0^12 - 129565760043711749281843/358855583234670972904830*c_1001_0^11 + 56339279279053506903829/179427791617335486452415*c_1001_0^10 - 399915201180973647829777/358855583234670972904830*c_1001_0^9 + 1204542048393330985469879/358855583234670972904830*c_1001_0^8 + 2957793884447988710267/1776512788290450360915*c_1001_0^7 - 16555479206296061462117/59809263872445162150805*c_1001_0^6 - 34125034851479270022136/59809263872445162150805*c_1001_0^5 - 71079844314535715046722/179427791617335486452415*c_1001_0^4 + 44343905856640724603654/179427791617335486452415*c_1001_0^3 - 8324084216438212000979/23923705548978064860322*c_1001_0^2 - 115658338275821737154449/358855583234670972904830*c_1001_0 - 36354571376955520438999/59809263872445162150805, c_0011_5 - 1274051358239374547824/179427791617335486452415*c_1001_0^16 + 2502415936498093600589/179427791617335486452415*c_1001_0^15 - 14020163489847937011629/179427791617335486452415*c_1001_0^14 - 606894970734634467892/11961852774489032430161*c_1001_0^13 - 24993550270289831741923/59809263872445162150805*c_1001_0^12 - 102227333088184742995861/179427791617335486452415*c_1001_0^11 + 305691365642551926333716/179427791617335486452415*c_1001_0^10 + 95326106772947564487431/179427791617335486452415*c_1001_0^9 - 159942683762126799286567/179427791617335486452415*c_1001_0^8 + 1509962036463688329838/1776512788290450360915*c_1001_0^7 + 61826265245492512081662/59809263872445162150805*c_1001_0^6 - 16844083484370335022194/59809263872445162150805*c_1001_0^5 - 174275659644802044073918/179427791617335486452415*c_1001_0^4 + 531454695259261190566/179427791617335486452415*c_1001_0^3 - 5471885874558208495505/11961852774489032430161*c_1001_0^2 + 28812733942065786856367/179427791617335486452415*c_1001_0 - 16827566482202997588221/59809263872445162150805, c_0101_0 + 1, c_0101_1 - 11817142098607184840077/717711166469341945809660*c_1001_0^16 + 4787330938119044939801/358855583234670972904830*c_1001_0^15 - 8782649271617587597546/59809263872445162150805*c_1001_0^14 - 11689895634230377848184/35885558323467097290483*c_1001_0^13 - 266395973893912000428509/239237055489780648603220*c_1001_0^12 - 1827139547695681742726953/717711166469341945809660*c_1001_0^11 + 426345990370334855144962/179427791617335486452415*c_1001_0^10 + 3819491849737716174385123/717711166469341945809660*c_1001_0^9 + 337350843094103308575469/717711166469341945809660*c_1001_0^8 + 3026753578682559472616/1776512788290450360915*c_1001_0^7 + 149975932469777896653799/358855583234670972904830*c_1001_0^6 - 8121802580158698116591/119618527744890324301610*c_1001_0^5 - 252572143360764924144437/358855583234670972904830*c_1001_0^4 - 42995283985469517800546/59809263872445162150805*c_1001_0^3 - 107392690508442974261299/143542233293868389161932*c_1001_0^2 + 96810011449758344552651/717711166469341945809660*c_1001_0 - 32815958241002908164736/179427791617335486452415, c_1001_0^17 - 2*c_1001_0^16 + 12*c_1001_0^15 + 4*c_1001_0^14 + 71*c_1001_0^13 + 73*c_1001_0^12 - 188*c_1001_0^11 - 55*c_1001_0^10 - 133*c_1001_0^9 + 20*c_1001_0^8 - 2*c_1001_0^7 + 22*c_1001_0^6 - 26*c_1001_0^5 + 44*c_1001_0^4 + 19*c_1001_0^3 - 3*c_1001_0^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB