Magma V2.19-8 Wed Aug 21 2013 01:02:14 on localhost [Seed = 2210764856] Type ? for help. Type -D to quit. Loading file "L14n14228__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14228 geometric_solution 11.71792797 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 1 1 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 0 0 0 0 1 -1 1 0 -1 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977272507702 1.097264628367 0 4 6 5 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.631438902402 0.444919067687 0 0 8 7 3012 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018868721664 0.910966357096 9 5 10 0 0132 2310 0132 0132 1 1 1 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 -1 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 0.195776538399 0.747822867457 8 1 7 10 2031 0132 2031 2031 0 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034550444984 0.408659414399 9 11 1 3 2103 0132 0132 3201 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0.494570379274 0.560467878739 8 10 12 1 0132 2031 0132 0132 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 0 0 0 0 0 0 0 0 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 0.518313119354 1.216123276000 11 9 2 4 3201 0321 0132 1302 1 1 0 1 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 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 0 0 0.267631815817 0.531438009058 6 12 4 2 0132 1023 1302 0132 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 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.296584939599 0.695880221606 3 12 5 7 0132 3201 2103 0321 1 1 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498970987936 1.180944450069 6 4 11 3 1302 1302 2103 0132 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 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.152871329303 0.700751579585 10 5 12 7 2103 0132 0213 2310 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 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 0.860094024015 0.969825438378 8 11 9 6 1023 0213 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518313119354 1.216123276000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0110_7']), 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0110_7']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0101_4'], 's_3_1' : 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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_2, c_0101_4, c_0101_7, c_0110_5, c_0110_7, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 2750751012321071/35348313312832*c_1001_11^15 + 13181649663647847/35348313312832*c_1001_11^14 + 28601545487989789/17674156656416*c_1001_11^13 + 14603312992854465/4418539164104*c_1001_11^12 + 104031975176162799/17674156656416*c_1001_11^11 + 5829704300887511/2209269582052*c_1001_11^10 - 38914038424736983/35348313312832*c_1001_11^9 - 29459837091050975/2719101024064*c_1001_11^8 - 59594266618211501/17674156656416*c_1001_11^7 + 78640640035115199/35348313312832*c_1001_11^6 + 92884859516593551/17674156656416*c_1001_11^5 + 9427908180602625/4418539164104*c_1001_11^4 - 20195647865270355/35348313312832*c_1001_11^3 - 20413865840129927/17674156656416*c_1001_11^2 - 13133781177487677/35348313312832*c_1001_11 - 10413500684505537/35348313312832, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1/3*c_1001_11^15 - 4/3*c_1001_11^14 - 17/3*c_1001_11^13 - 26/3*c_1001_11^12 - 14*c_1001_11^11 + 26/3*c_1001_11^10 + 41/3*c_1001_11^9 + 128/3*c_1001_11^8 - 67/3*c_1001_11^7 - 21*c_1001_11^6 - 15*c_1001_11^5 + 26/3*c_1001_11^4 + 29/3*c_1001_11^3 + 3*c_1001_11^2 - 7/3*c_1001_11, c_0011_12 - 1085654041/2089473123*c_1001_11^15 - 9802288373/4178946246*c_1001_11^14 - 21132329207/2089473123*c_1001_11^13 - 39868726883/2089473123*c_1001_11^12 - 23152361662/696491041*c_1001_11^11 - 14546151358/2089473123*c_1001_11^10 + 24673904195/2089473123*c_1001_11^9 + 292697512135/4178946246*c_1001_11^8 + 7584895121/2089473123*c_1001_11^7 - 12269221487/696491041*c_1001_11^6 - 37887443673/1392982082*c_1001_11^5 - 14205500831/4178946246*c_1001_11^4 + 11540969293/4178946246*c_1001_11^3 + 3602367619/696491041*c_1001_11^2 + 1342101983/2089473123*c_1001_11 + 3644284869/1392982082, c_0011_3 - 310674489/5571928328*c_1001_11^15 - 1863825437/5571928328*c_1001_11^14 - 3886517239/2785964164*c_1001_11^13 - 2317456448/696491041*c_1001_11^12 - 14394286969/2785964164*c_1001_11^11 - 1989401039/696491041*c_1001_11^10 + 32584613793/5571928328*c_1001_11^9 + 72537575369/5571928328*c_1001_11^8 + 29982443211/2785964164*c_1001_11^7 - 60957970777/5571928328*c_1001_11^6 - 33038587827/2785964164*c_1001_11^5 - 4568332693/1392982082*c_1001_11^4 + 23761065409/5571928328*c_1001_11^3 + 8702305861/2785964164*c_1001_11^2 + 3613707859/5571928328*c_1001_11 - 1428687581/5571928328, c_0011_7 + 1001803137/5571928328*c_1001_11^15 + 4561806369/5571928328*c_1001_11^14 + 9799720877/2785964164*c_1001_11^13 + 9315410849/1392982082*c_1001_11^12 + 32075037731/2785964164*c_1001_11^11 + 3455086253/1392982082*c_1001_11^10 - 26678373781/5571928328*c_1001_11^9 - 134191634001/5571928328*c_1001_11^8 - 5353466131/2785964164*c_1001_11^7 + 51714237337/5571928328*c_1001_11^6 + 25475941085/2785964164*c_1001_11^5 + 3586877495/1392982082*c_1001_11^4 - 23830398869/5571928328*c_1001_11^3 - 6033680627/2785964164*c_1001_11^2 + 1222717377/5571928328*c_1001_11 - 1101622315/5571928328, c_0101_0 + 1044534577/5571928328*c_1001_11^15 + 4375858693/5571928328*c_1001_11^14 + 9182182723/2785964164*c_1001_11^13 + 3714720412/696491041*c_1001_11^12 + 22816589869/2785964164*c_1001_11^11 - 3100698586/696491041*c_1001_11^10 - 57714248457/5571928328*c_1001_11^9 - 141528658953/5571928328*c_1001_11^8 + 24976160621/2785964164*c_1001_11^7 + 98624313049/5571928328*c_1001_11^6 + 26286695107/2785964164*c_1001_11^5 - 6757388561/1392982082*c_1001_11^4 - 32764958945/5571928328*c_1001_11^3 - 140503281/2785964164*c_1001_11^2 + 1587818365/5571928328*c_1001_11 + 1269556797/5571928328, c_0101_2 + 1101622315/16715784984*c_1001_11^15 + 7411898671/16715784984*c_1001_11^14 + 16206499231/8357892492*c_1001_11^13 + 21860126363/4178946246*c_1001_11^12 + 26342177903/2785964164*c_1001_11^11 + 40952011549/4178946246*c_1001_11^10 - 3705479879/16715784984*c_1001_11^9 - 221042777663/16715784984*c_1001_11^8 - 164383103449/8357892492*c_1001_11^7 + 12427136353/5571928328*c_1001_11^6 + 34119286031/2785964164*c_1001_11^5 + 15526683290/2089473123*c_1001_11^4 + 11095482805/16715784984*c_1001_11^3 - 13567632907/2785964164*c_1001_11^2 - 28490727557/16715784984*c_1001_11 + 1222717377/5571928328, c_0101_4 + 19891348/2089473123*c_1001_11^15 + 354762925/2089473123*c_1001_11^14 + 1280165387/2089473123*c_1001_11^13 + 4488924161/2089473123*c_1001_11^12 + 1675742836/696491041*c_1001_11^11 + 5799552127/2089473123*c_1001_11^10 - 16085844143/2089473123*c_1001_11^9 - 11969705543/2089473123*c_1001_11^8 - 24538936028/2089473123*c_1001_11^7 + 14157369266/696491041*c_1001_11^6 + 5006663004/696491041*c_1001_11^5 - 5581094588/2089473123*c_1001_11^4 - 17565430973/2089473123*c_1001_11^3 - 1185160736/696491041*c_1001_11^2 + 4471118248/2089473123*c_1001_11 + 650190778/696491041, c_0101_7 + 3366601865/16715784984*c_1001_11^15 + 13997785409/16715784984*c_1001_11^14 + 30360388037/8357892492*c_1001_11^13 + 25859104165/4178946246*c_1001_11^12 + 30688697329/2785964164*c_1001_11^11 - 1276188577/4178946246*c_1001_11^10 - 55374830677/16715784984*c_1001_11^9 - 421546949281/16715784984*c_1001_11^8 + 38028942961/8357892492*c_1001_11^7 + 8844153419/5571928328*c_1001_11^6 + 12987054611/2785964164*c_1001_11^5 + 20373598505/4178946246*c_1001_11^4 - 19385214709/16715784984*c_1001_11^3 + 1645392547/2785964164*c_1001_11^2 - 15240690871/16715784984*c_1001_11 - 9907949705/5571928328, c_0110_5 - 5526230537/16715784984*c_1001_11^15 - 23943781523/16715784984*c_1001_11^14 - 51392767457/8357892492*c_1001_11^13 - 22737985574/2089473123*c_1001_11^12 - 51678723215/2785964164*c_1001_11^11 + 1686336271/4178946246*c_1001_11^10 + 169906581973/16715784984*c_1001_11^9 + 750956030443/16715784984*c_1001_11^8 - 44738910097/8357892492*c_1001_11^7 - 75788318999/5571928328*c_1001_11^6 - 11521029582/696491041*c_1001_11^5 + 17334014231/8357892492*c_1001_11^4 + 84100626307/16715784984*c_1001_11^3 + 2778541575/2785964164*c_1001_11^2 - 12605247089/16715784984*c_1001_11 + 8302752955/5571928328, c_0110_7 + 91732511/696491041*c_1001_11^15 + 314004157/696491041*c_1001_11^14 + 1323916371/696491041*c_1001_11^13 + 1397263964/696491041*c_1001_11^12 + 2105575725/696491041*c_1001_11^11 - 5090099625/696491041*c_1001_11^10 - 3141204333/696491041*c_1001_11^9 - 8623885448/696491041*c_1001_11^8 + 13739650958/696491041*c_1001_11^7 + 4708292784/696491041*c_1001_11^6 - 1687973180/696491041*c_1001_11^5 - 5662860627/696491041*c_1001_11^4 - 1125486692/696491041*c_1001_11^3 + 2140450645/696491041*c_1001_11^2 + 650190778/696491041*c_1001_11 - 19891348/696491041, c_1001_11^16 + 4*c_1001_11^15 + 17*c_1001_11^14 + 26*c_1001_11^13 + 42*c_1001_11^12 - 26*c_1001_11^11 - 41*c_1001_11^10 - 128*c_1001_11^9 + 67*c_1001_11^8 + 63*c_1001_11^7 + 45*c_1001_11^6 - 26*c_1001_11^5 - 29*c_1001_11^4 - 9*c_1001_11^3 + 7*c_1001_11^2 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB