Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 425231473] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3175 geometric_solution 6.32171453 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.506940129196 0.401956562662 2 0 3 0 0132 2310 0132 0132 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 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 1.281899437201 0.558381466790 1 4 5 6 0132 0132 0132 0132 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 -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 0.645161538227 0.623985621738 6 5 4 1 0132 1023 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645161538227 0.623985621738 4 2 3 4 3012 0132 1023 1230 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 0.435696109426 0.854034428835 3 5 5 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475928380409 0.579462786509 3 6 2 6 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036587837473 1.021902152654 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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' : negation(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' : negation(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' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['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_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], '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' : d['c_0011_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 2409815583928423185907603035/22842328676936256192093096097*c_0101_4\ ^25 + 101462487651157688543835167593/22842328676936256192093096097*\ c_0101_4^23 - 512151106552037006680975796441/2284232867693625619209\ 3096097*c_0101_4^21 - 1018349145860913877301286038495/2284232867693\ 6256192093096097*c_0101_4^19 + 7289763133225334270378864390939/2284\ 2328676936256192093096097*c_0101_4^17 + 36150524698429417480421566878/1757102205918173553237930469*c_0101_4\ ^15 - 32803693659200478926395507624486/2284232867693625619209309609\ 7*c_0101_4^13 + 1583346289519764551685371924628/1757102205918173553\ 237930469*c_0101_4^11 + 45722316324412932828285428823435/2284232867\ 6936256192093096097*c_0101_4^9 - 51203370521994228515136212432746/2\ 2842328676936256192093096097*c_0101_4^7 + 9464308967763334224477037544318/22842328676936256192093096097*c_010\ 1_4^5 + 140843123809011505726933325994/1757102205918173553237930469\ *c_0101_4^3 - 642480299609045894177575529049/2284232867693625619209\ 3096097*c_0101_4, c_0011_0 - 1, c_0011_1 + 6556273840122219635204/565530159613187497018967*c_0101_4^24 - 262465428143335284936742/565530159613187497018967*c_0101_4^22 + 854965379107092357710273/565530159613187497018967*c_0101_4^20 + 4330854798003133715702504/565530159613187497018967*c_0101_4^18 - 10053768808689479370917622/565530159613187497018967*c_0101_4^16 - 19427331804446732905747483/565530159613187497018967*c_0101_4^14 + 40668007698941879624342845/565530159613187497018967*c_0101_4^12 + 19748280144204380147716353/565530159613187497018967*c_0101_4^10 - 57560415244992214839951274/565530159613187497018967*c_0101_4^8 + 22373565252368715702109187/565530159613187497018967*c_0101_4^6 - 1883189173765634738382745/565530159613187497018967*c_0101_4^4 - 377905445596557247080035/565530159613187497018967*c_0101_4^2 - 76801576641751327716674/565530159613187497018967, c_0011_3 + 20796873061867161291782/565530159613187497018967*c_0101_4^25 - 828635559695578670015642/565530159613187497018967*c_0101_4^23 + 2554961209375199182237846/565530159613187497018967*c_0101_4^21 + 14260425777131460815525835/565530159613187497018967*c_0101_4^19 - 29594382349921225993251844/565530159613187497018967*c_0101_4^17 - 66470436830873407434537756/565530159613187497018967*c_0101_4^15 + 119979633246852700765426462/565530159613187497018967*c_0101_4^13 + 75695585066837059547002620/565530159613187497018967*c_0101_4^11 - 173202513016999766368238878/565530159613187497018967*c_0101_4^9 + 62282503973969835869263007/565530159613187497018967*c_0101_4^7 - 6203731176131574371336007/565530159613187497018967*c_0101_4^5 - 1644628784195667509749236/565530159613187497018967*c_0101_4^3 - 950926633037477763826868/565530159613187497018967*c_0101_4, c_0101_0 + 29294088160449859794886/565530159613187497018967*c_0101_4^25 - 1164715529345279821905683/565530159613187497018967*c_0101_4^23 + 3502024385056558344806111/565530159613187497018967*c_0101_4^21 + 20307291416355218688349058/565530159613187497018967*c_0101_4^19 - 39771701594444515551563544/565530159613187497018967*c_0101_4^17 - 95614229500885041696619578/565530159613187497018967*c_0101_4^15 + 159303472534928531679211997/565530159613187497018967*c_0101_4^13 + 113933907751959127964553600/565530159613187497018967*c_0101_4^11 - 229411134835858641186973744/565530159613187497018967*c_0101_4^9 + 75149633727050246039630891/565530159613187497018967*c_0101_4^7 - 9472344329794091268981447/565530159613187497018967*c_0101_4^5 - 512489606119135680147932/565530159613187497018967*c_0101_4^3 - 802725455070450595560453/565530159613187497018967*c_0101_4, c_0101_1 - 7490126645712784559059/565530159613187497018967*c_0101_4^24 + 298515349785229599957053/565530159613187497018967*c_0101_4^22 - 922374635161185774622160/565530159613187497018967*c_0101_4^20 - 5163890580983124227393416/565530159613187497018967*c_0101_4^18 + 10918094983702212730783750/565530159613187497018967*c_0101_4^16 + 23999771969451554191911540/565530159613187497018967*c_0101_4^14 - 45592903274126417063826221/565530159613187497018967*c_0101_4^12 - 25663983364590697390031659/565530159613187497018967*c_0101_4^10 + 67800336513792083879005479/565530159613187497018967*c_0101_4^8 - 28190890853588252870792868/565530159613187497018967*c_0101_4^6 + 3075932388623092280381109/565530159613187497018967*c_0101_4^4 + 25006690174816552482345/565530159613187497018967*c_0101_4^2 + 688730172349982105075381/565530159613187497018967, c_0101_3 - 9240238219063672304766/565530159613187497018967*c_0101_4^24 + 365383602136398571522749/565530159613187497018967*c_0101_4^22 - 1024391857744818796670340/565530159613187497018967*c_0101_4^20 - 6670835903425841467299448/565530159613187497018967*c_0101_4^18 + 11277614524508143634869364/565530159613187497018967*c_0101_4^16 + 33083542584217030517066347/565530159613187497018967*c_0101_4^14 - 44835977229209932097292336/565530159613187497018967*c_0101_4^12 - 46886488963974298018042643/565530159613187497018967*c_0101_4^10 + 67145283901967865734312909/565530159613187497018967*c_0101_4^8 - 9385269710820738002555444/565530159613187497018967*c_0101_4^6 - 2431756068254213426544766/565530159613187497018967*c_0101_4^4 + 523111295613222916450091/565530159613187497018967*c_0101_4^2 + 421796060297437907569606/565530159613187497018967, c_0101_4^26 - 40*c_0101_4^24 + 129*c_0101_4^22 + 669*c_0101_4^20 - 1540*c_0101_4^18 - 3003*c_0101_4^16 + 6379*c_0101_4^14 + 2821*c_0101_4^12 - 9265*c_0101_4^10 + 4310*c_0101_4^8 - 434*c_0101_4^6 - 169*c_0101_4^4 - 10*c_0101_4^2 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB