Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 4054871449] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s868 geometric_solution 5.54398420 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.429338259533 0.285572271867 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 0 1 -1 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 0.955897051280 0.788480670265 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 1 -1 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 -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 0.301764740305 0.975665856673 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301764740305 0.975665856673 4 2 3 4 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694719254239 0.853441750215 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 1 0 -1 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 -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 0.206060339248 1.133212947241 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], '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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 154383694228081/46269500615*c_0101_4^21 + 11397830620073/9253900123*c_0101_4^20 - 1886915150249252/46269500615*c_0101_4^19 - 1278383070755824/46269500615*c_0101_4^18 + 5881642674251402/46269500615*c_0101_4^17 + 1515777300164137/46269500615*c_0101_4^16 - 3219136285350767/46269500615*c_0101_4^15 + 26001908319078152/46269500615*c_0101_4^14 + 16153689484829844/46269500615*c_0101_4^13 - 69206581587697923/46269500615*c_0101_4^12 - 88194432371100383/46269500615*c_0101_4^11 + 41133676173177923/46269500615*c_0101_4^10 + 145727665305751047/46269500615*c_0101_4^9 - 1725746232378357/46269500615*c_0101_4^8 - 139398429373842293/46269500615*c_0101_4^7 - 737644892552489/9253900123*c_0101_4^6 + 71189619022926434/46269500615*c_0101_4^5 - 182375481683195/9253900123*c_0101_4^4 - 17113930960106663/46269500615*c_0101_4^3 + 262351755731018/9253900123*c_0101_4^2 + 119157185711122/3559192355*c_0101_4 - 236304618864801/46269500615, c_0011_0 - 1, c_0011_1 - 1452587689/58942039*c_0101_4^21 - 501192995/58942039*c_0101_4^20 + 17712209662/58942039*c_0101_4^19 + 11593256893/58942039*c_0101_4^18 - 54970318980/58942039*c_0101_4^17 - 972106749/4534003*c_0101_4^16 + 28595339215/58942039*c_0101_4^15 - 245355642752/58942039*c_0101_4^14 - 145305348319/58942039*c_0101_4^13 + 645371377797/58942039*c_0101_4^12 + 810841522381/58942039*c_0101_4^11 - 383347470776/58942039*c_0101_4^10 - 1337189140137/58942039*c_0101_4^9 + 32896184162/58942039*c_0101_4^8 + 1268624302371/58942039*c_0101_4^7 + 11689074753/58942039*c_0101_4^6 - 631548471564/58942039*c_0101_4^5 + 1285333148/4534003*c_0101_4^4 + 144953935237/58942039*c_0101_4^3 - 12280606004/58942039*c_0101_4^2 - 12353992986/58942039*c_0101_4 + 1901537936/58942039, c_0011_3 + 1783715896860/9253900123*c_0101_4^21 + 675067846666/9253900123*c_0101_4^20 - 21827773893246/9253900123*c_0101_4^19 - 14976792647762/9253900123*c_0101_4^18 + 68213245782216/9253900123*c_0101_4^17 + 18311043211189/9253900123*c_0101_4^16 - 38237863072800/9253900123*c_0101_4^15 + 300129493480848/9253900123*c_0101_4^14 + 189836297254502/9253900123*c_0101_4^13 - 803548062839430/9253900123*c_0101_4^12 - 1028247100053799/9253900123*c_0101_4^11 + 479685362635878/9253900123*c_0101_4^10 + 1702548849680425/9253900123*c_0101_4^9 - 13711728795723/9253900123*c_0101_4^8 - 1635458039628571/9253900123*c_0101_4^7 - 52251018491994/9253900123*c_0101_4^6 + 844351582555544/9253900123*c_0101_4^5 - 7704256743590/9253900123*c_0101_4^4 - 206327194068689/9253900123*c_0101_4^3 + 15359007367399/9253900123*c_0101_4^2 + 19027558470903/9253900123*c_0101_4 - 2867329608980/9253900123, c_0101_0 - 315561715644/9253900123*c_0101_4^21 - 113628745194/9253900123*c_0101_4^20 + 3877040450073/9253900123*c_0101_4^19 + 2581592587167/9253900123*c_0101_4^18 - 12274334461706/9253900123*c_0101_4^17 - 3104317631391/9253900123*c_0101_4^16 + 7289625733686/9253900123*c_0101_4^15 - 53178273870074/9253900123*c_0101_4^14 - 32740214444729/9253900123*c_0101_4^13 + 145014866656006/9253900123*c_0101_4^12 + 180332306070041/9253900123*c_0101_4^11 - 93561390670911/9253900123*c_0101_4^10 - 306198828425966/9253900123*c_0101_4^9 + 10704055813668/9253900123*c_0101_4^8 + 299488287120522/9253900123*c_0101_4^7 + 3381867459316/9253900123*c_0101_4^6 - 158349041034988/9253900123*c_0101_4^5 + 4524388087721/9253900123*c_0101_4^4 + 39876460070240/9253900123*c_0101_4^3 - 3552852236031/9253900123*c_0101_4^2 - 3771439372485/9253900123*c_0101_4 + 595704966729/9253900123, c_0101_1 + 4373797398/58942039*c_0101_4^21 + 1452587689/58942039*c_0101_4^20 - 53436963470/58942039*c_0101_4^19 - 34256004560/58942039*c_0101_4^18 + 166998061801/58942039*c_0101_4^17 + 2821643747/4534003*c_0101_4^16 - 89650941944/58942039*c_0101_4^15 + 738994199419/58942039*c_0101_4^14 + 429232694311/58942039*c_0101_4^13 - 1963465546824/58942039*c_0101_4^12 - 2425876403661/58942039*c_0101_4^11 + 1221393115460/58942039*c_0101_4^10 + 4060607441076/58942039*c_0101_4^9 - 164746823109/58942039*c_0101_4^8 - 3892042967213/58942039*c_0101_4^7 + 7887820838/58942039*c_0101_4^6 + 1966127123101/58942039*c_0101_4^5 - 5427015655/4534003*c_0101_4^4 - 462266220373/58942039*c_0101_4^3 + 41763049062/58942039*c_0101_4^2 + 40439373271/58942039*c_0101_4 - 6216393295/58942039, c_0101_4^22 + c_0101_4^21 - 12*c_0101_4^20 - 16*c_0101_4^19 + 33*c_0101_4^18 + 34*c_0101_4^17 - 15*c_0101_4^16 + 155*c_0101_4^15 + 211*c_0101_4^14 - 384*c_0101_4^13 - 856*c_0101_4^12 - 90*c_0101_4^11 + 1120*c_0101_4^10 + 585*c_0101_4^9 - 920*c_0101_4^8 - 598*c_0101_4^7 + 454*c_0101_4^6 + 289*c_0101_4^5 - 118*c_0101_4^4 - 63*c_0101_4^3 + 16*c_0101_4^2 + 5*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB