Magma V2.19-8 Tue Aug 20 2013 23:26:30 on localhost [Seed = 3852698822] Type ? for help. Type -D to quit. Loading file "K11a358__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11a358 geometric_solution 6.10280316 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 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 1 0 -1 0 0 0 0 1 0 0 -1 -12 1 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084573837283 0.534185476048 0 2 4 3 0132 3201 0132 0132 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 1 -1 0 0 0 0 0 12 0 0 -12 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.765116938584 1.883559154688 3 4 1 0 3120 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 11 0 0 -11 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.562800515958 1.198856418330 5 6 1 2 0132 0132 0132 3120 0 0 0 0 0 1 0 -1 0 0 0 0 -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 -11 0 11 1 0 0 -1 11 0 0 -11 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257038635365 0.934117266966 2 5 5 1 1023 1302 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521534994923 0.655720293509 3 6 4 4 0132 2310 1023 2031 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 12 0 0 -12 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257038635365 0.934117266966 6 3 6 5 2031 0132 1302 3201 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293203346203 1.170979330222 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_3']), 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_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' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1667698840736379250681849839/10462001860699872935618285*c_0101_4^14 + 96629004430731874079746817874/428942076288694790360349685*c_0101_\ 4^13 - 83845638357900804290852303/1494571694385696133659755*c_0101_\ 4^12 + 6809961639011904600980960346/61277439469813541480049955*c_01\ 01_4^11 + 81503310200162767412583121453/428942076288694790360349685\ *c_0101_4^10 - 1094831377674489713832084789/20924003721399745871236\ 57*c_0101_4^9 - 139548614563960563230175399287/42894207628869479036\ 0349685*c_0101_4^8 + 13945923471929236856043069718/1046200186069987\ 2935618285*c_0101_4^7 - 63987943408087188105045902494/8578841525773\ 8958072069937*c_0101_4^6 + 104880897522396877385485975022/857884152\ 57738958072069937*c_0101_4^5 - 73808085535612361309128012485/857884\ 15257738958072069937*c_0101_4^4 - 22614298771293632978141128253/122\ 55487893962708296009991*c_0101_4^3 + 347388022792037400515804466528/428942076288694790360349685*c_0101_4\ ^2 + 42331157293711814413749886361/61277439469813541480049955*c_010\ 1_4 - 136750313651149000900876459129/428942076288694790360349685, c_0011_0 - 1, c_0011_2 + 159519411490905684617911/550631676878940680822015*c_0101_4^1\ 4 - 114985259918820180100444/550631676878940680822015*c_0101_4^13 - 15148705951086053217608/110126335375788136164403*c_0101_4^12 - 12337579688319475786345/110126335375788136164403*c_0101_4^11 - 340983266043322539621984/550631676878940680822015*c_0101_4^10 + 85481300341352177539301/110126335375788136164403*c_0101_4^9 + 18120549038564956896647/15732333625112590880629*c_0101_4^8 - 221152513462092157630635/110126335375788136164403*c_0101_4^7 - 42527904716230396201673/550631676878940680822015*c_0101_4^6 - 819657747657501119862594/550631676878940680822015*c_0101_4^5 - 231899321213841534032033/550631676878940680822015*c_0101_4^4 + 2833901439741197828920333/550631676878940680822015*c_0101_4^3 + 215522766088791494951581/550631676878940680822015*c_0101_4^2 - 1305199962124314895617452/550631676878940680822015*c_0101_4 - 12734121495571645258773/110126335375788136164403, c_0011_3 - 26659019127052609566653/78661668125562954403145*c_0101_4^14 + 233725109190089377500096/550631676878940680822015*c_0101_4^13 - 8257859829982831708388/78661668125562954403145*c_0101_4^12 + 211603788267673575710324/550631676878940680822015*c_0101_4^11 + 172310341785889148445158/550631676878940680822015*c_0101_4^10 - 608102133611912898137119/550631676878940680822015*c_0101_4^9 - 403849144478545634620084/550631676878940680822015*c_0101_4^8 + 1371685039693099452649156/550631676878940680822015*c_0101_4^7 - 608170154749208467852091/550631676878940680822015*c_0101_4^6 + 1677573866222274960384899/550631676878940680822015*c_0101_4^5 - 220500141594862906097549/110126335375788136164403*c_0101_4^4 - 1916929516179071878729222/550631676878940680822015*c_0101_4^3 + 387258802596837068013271/550631676878940680822015*c_0101_4^2 + 494793754282463300321746/550631676878940680822015*c_0101_4 + 22919371828837899111217/110126335375788136164403, c_0101_0 - 69219565557444032199174/550631676878940680822015*c_0101_4^14 - 26178138113768914251682/550631676878940680822015*c_0101_4^13 + 6652693205576834472687/78661668125562954403145*c_0101_4^12 + 54254369104399007917454/550631676878940680822015*c_0101_4^11 + 31468435192758152068664/110126335375788136164403*c_0101_4^10 + 31760958254296139583201/550631676878940680822015*c_0101_4^9 - 397259879717296500850264/550631676878940680822015*c_0101_4^8 + 158549373749147805612421/550631676878940680822015*c_0101_4^7 + 405374860695536317591973/550631676878940680822015*c_0101_4^6 + 479252900855550746657156/550631676878940680822015*c_0101_4^5 + 572068906369441729765534/550631676878940680822015*c_0101_4^4 - 499967977789080166385336/550631676878940680822015*c_0101_4^3 - 1446931668883318468258257/550631676878940680822015*c_0101_4^2 + 129303655256482829117907/550631676878940680822015*c_0101_4 + 84996343952596785453295/110126335375788136164403, c_0101_1 + 22055540119544066124342/550631676878940680822015*c_0101_4^14 - 16614152708208463107051/550631676878940680822015*c_0101_4^13 + 10925632678390961793419/550631676878940680822015*c_0101_4^12 + 12428232333858051650984/550631676878940680822015*c_0101_4^11 - 68131775970609897561034/550631676878940680822015*c_0101_4^10 - 4033866106620127794929/550631676878940680822015*c_0101_4^9 + 47668494639678520651661/550631676878940680822015*c_0101_4^8 - 32011645039226264163877/78661668125562954403145*c_0101_4^7 + 41573272550195838487758/110126335375788136164403*c_0101_4^6 - 67949390112708605487178/550631676878940680822015*c_0101_4^5 - 279051017302233550724449/550631676878940680822015*c_0101_4^4 + 132824441118769105467147/550631676878940680822015*c_0101_4^3 - 209065252249972832640126/550631676878940680822015*c_0101_4^2 - 7012286992804092139872/110126335375788136164403*c_0101_4 + 125312258551908236788589/110126335375788136164403, c_0101_2 + 108352706995826648490392/550631676878940680822015*c_0101_4^1\ 4 - 56892322407386540883852/550631676878940680822015*c_0101_4^13 - 63512555338887692696063/550631676878940680822015*c_0101_4^12 - 35566247870878321034728/550631676878940680822015*c_0101_4^11 - 168209596949992985195706/550631676878940680822015*c_0101_4^10 + 225261282781937912960228/550631676878940680822015*c_0101_4^9 + 69214900037638078045379/78661668125562954403145*c_0101_4^8 - 103007548382865686697321/78661668125562954403145*c_0101_4^7 - 157250493799059781841603/550631676878940680822015*c_0101_4^6 - 574177303174591184247383/550631676878940680822015*c_0101_4^5 - 43252490614774181368314/110126335375788136164403*c_0101_4^4 + 1521375280157168438801534/550631676878940680822015*c_0101_4^3 + 245112113772017361777948/550631676878940680822015*c_0101_4^2 - 935667012500205176448682/550631676878940680822015*c_0101_4 - 14127358389668635106349/110126335375788136164403, c_0101_4^15 - 43/41*c_0101_4^14 - 21/41*c_0101_4^13 - 9/41*c_0101_4^12 - 58/41*c_0101_4^11 + 127/41*c_0101_4^10 + 154/41*c_0101_4^9 - 351/41*c_0101_4^8 + 21/41*c_0101_4^7 - 143/41*c_0101_4^6 + 83/41*c_0101_4^5 + 653/41*c_0101_4^4 - 72/41*c_0101_4^3 - 438/41*c_0101_4^2 + 14/41*c_0101_4 + 95/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB