Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 930524128] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1551 geometric_solution 5.34216764 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 1.659508263936 0.195376143244 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 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 0 0 0 0 0 0 0 0 0 0 1.401903979784 0.598913098506 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 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 0.211567382781 0.445032546280 2 4 6 5 0132 2310 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 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 0.019120183419 1.029632689031 6 5 2 3 1023 2310 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019120183419 1.029632689031 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 0 0 0 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 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 0.988664368044 1.049063440374 6 4 6 3 2031 1023 1302 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 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 0.476296097316 0.494064291515 ==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' : 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' : 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' : negation(d['c_0011_4']), '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' : d['c_0011_5'], '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' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], '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_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), '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_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 701304065096481326217/87276374350946646341*c_0101_3^12 - 3312252802782469041098/87276374350946646341*c_0101_3^11 + 13134303182854354035861/87276374350946646341*c_0101_3^10 + 13127057357893405086026/12468053478706663763*c_0101_3^9 - 157847570110921021435064/87276374350946646341*c_0101_3^8 - 210602242947260045713707/87276374350946646341*c_0101_3^7 + 613682545038938320811590/87276374350946646341*c_0101_3^6 - 436137492215681687190391/87276374350946646341*c_0101_3^5 - 106255657759416320916904/87276374350946646341*c_0101_3^4 + 510189841617009165028370/87276374350946646341*c_0101_3^3 - 368595919761509413024132/87276374350946646341*c_0101_3^2 + 163611048463063748192045/87276374350946646341*c_0101_3 - 25126285897963994072865/87276374350946646341, c_0011_0 - 1, c_0011_1 - 2248406019786574/76491125636237201*c_0101_3^12 + 9513185795649444/76491125636237201*c_0101_3^11 - 36680549405005875/76491125636237201*c_0101_3^10 - 316005179394523661/76491125636237201*c_0101_3^9 + 363515296793519454/76491125636237201*c_0101_3^8 + 956578686957511437/76491125636237201*c_0101_3^7 - 1646923913973009538/76491125636237201*c_0101_3^6 + 280936771476103044/76491125636237201*c_0101_3^5 + 1110637631071931614/76491125636237201*c_0101_3^4 - 1266127242492007076/76491125636237201*c_0101_3^3 + 235902165975564325/76491125636237201*c_0101_3^2 + 52813200774470131/76491125636237201*c_0101_3 - 71924437758829366/76491125636237201, c_0011_4 + 352475827874787258/12468053478706663763*c_0011_5*c_0101_3^12 - 1563137593021814016/12468053478706663763*c_0011_5*c_0101_3^11 + 6207260992645220378/12468053478706663763*c_0011_5*c_0101_3^10 + 47631483969067137536/12468053478706663763*c_0011_5*c_0101_3^9 - 64279994377794600282/12468053478706663763*c_0011_5*c_0101_3^8 - 117988529126864660554/12468053478706663763*c_0011_5*c_0101_3^7 + 250491964681615550929/12468053478706663763*c_0011_5*c_0101_3^6 - 159071430352638872434/12468053478706663763*c_0011_5*c_0101_3^5 - 12111080243372907775/12468053478706663763*c_0011_5*c_0101_3^4 + 188304925295075513001/12468053478706663763*c_0011_5*c_0101_3^3 - 158142061979544636352/12468053478706663763*c_0011_5*c_0101_3^2 + 104158535799655757857/12468053478706663763*c_0011_5*c_0101_3 - 24322519581796683431/12468053478706663763*c_0011_5, c_0011_5^2 - 139985012084789947/12468053478706663763*c_0101_3^12 + 621352001737998539/12468053478706663763*c_0101_3^11 - 2451936801040897031/12468053478706663763*c_0101_3^10 - 19000136990082683669/12468053478706663763*c_0101_3^9 + 25972173780219410282/12468053478706663763*c_0101_3^8 + 48487187535551128602/12468053478706663763*c_0101_3^7 - 105699801771325330063/12468053478706663763*c_0101_3^6 + 59799051274924316775/12468053478706663763*c_0101_3^5 + 22820534018270813549/12468053478706663763*c_0101_3^4 - 85463376600244780955/12468053478706663763*c_0101_3^3 + 48225286363511619863/12468053478706663763*c_0101_3^2 - 20282325182099655857/12468053478706663763*c_0101_3 - 1438023964785860790/12468053478706663763, c_0101_0 + 168207057870529604/12468053478706663763*c_0101_3^12 - 913719606857336720/12468053478706663763*c_0101_3^11 + 3756128167337427910/12468053478706663763*c_0101_3^10 + 19686612675083552824/12468053478706663763*c_0101_3^9 - 53036358663290972468/12468053478706663763*c_0101_3^8 - 16722418463493771235/12468053478706663763*c_0101_3^7 + 184764708496215276371/12468053478706663763*c_0101_3^6 - 233950827392017019551/12468053478706663763*c_0101_3^5 + 56470173602281872994/12468053478706663763*c_0101_3^4 + 166532547438022795472/12468053478706663763*c_0101_3^3 - 206218433912892240619/12468053478706663763*c_0101_3^2 + 105771474526750014108/12468053478706663763*c_0101_3 - 15643396804856019146/12468053478706663763, c_0101_2 + 721422291036030835/12468053478706663763*c_0101_3^12 - 3475717559069863455/12468053478706663763*c_0101_3^11 + 13781648655691276822/12468053478706663763*c_0101_3^10 + 93471421069360516326/12468053478706663763*c_0101_3^9 - 172224113080094695411/12468053478706663763*c_0101_3^8 - 208555120850866631850/12468053478706663763*c_0101_3^7 + 661058169109946504696/12468053478706663763*c_0101_3^6 - 486925603558982847861/12468053478706663763*c_0101_3^5 - 104225595245510476892/12468053478706663763*c_0101_3^4 + 548916649480121893255/12468053478706663763*c_0101_3^3 - 418071192422529499878/12468053478706663763*c_0101_3^2 + 178062355524456419849/12468053478706663763*c_0101_3 - 26438573887466595842/12468053478706663763, c_0101_3^13 - 5*c_0101_3^12 + 20*c_0101_3^11 + 126*c_0101_3^10 - 262*c_0101_3^9 - 243*c_0101_3^8 + 965*c_0101_3^7 - 850*c_0101_3^6 - 8*c_0101_3^5 + 780*c_0101_3^4 - 713*c_0101_3^3 + 355*c_0101_3^2 - 90*c_0101_3 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB