Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 846442210] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1426 geometric_solution 5.25925026 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 0 0 0 0 0 0 0 0 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 1.444612810753 0.207484971061 0 2 2 0 3201 0132 1023 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 -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 1.129131305250 0.246431661624 3 1 1 4 0132 0132 1023 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 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 0.853465534375 0.422087382650 2 5 4 6 0132 0132 3201 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319298333477 0.747368163677 3 6 2 5 2310 1023 0132 1023 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 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 0.319298333477 0.747368163677 5 3 5 4 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551958900537 0.551362909445 4 6 3 6 1023 2310 0132 3201 0 0 0 0 0 1 0 -1 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 1 0 -1 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 -0.483411370720 1.131500639236 ==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' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : d['c_0011_1'], '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' : d['c_0101_2'], 'c_0101_5' : d['c_0011_1'], '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' : negation(d['c_0011_1']), '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' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_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_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 6181802271250239197945/33102877677714637349*c_0110_5^24 + 220945830626441158870668/33102877677714637349*c_0110_5^22 - 1543935062578516999174813/33102877677714637349*c_0110_5^20 - 2080797748425480407365031/33102877677714637349*c_0110_5^18 + 1785789210872206642242414/33102877677714637349*c_0110_5^16 + 46511379147331387829359864/33102877677714637349*c_0110_5^14 - 100703735760430155400419201/33102877677714637349*c_0110_5^12 + 84360852911969814766012125/33102877677714637349*c_0110_5^10 - 42273841439543637659020143/33102877677714637349*c_0110_5^8 + 14901612880885601979113880/33102877677714637349*c_0110_5^6 - 3520649184085458516140056/33102877677714637349*c_0110_5^4 + 469024703781512031712202/33102877677714637349*c_0110_5^2 - 26333988441814841118308/33102877677714637349, c_0011_0 - 1, c_0011_1 + 344464138359612025456/33102877677714637349*c_0110_5^24 - 12330613534502926906745/33102877677714637349*c_0110_5^22 + 86707639805963519875145/33102877677714637349*c_0110_5^20 + 111317163630785387507632/33102877677714637349*c_0110_5^18 - 106720885112801416054470/33102877677714637349*c_0110_5^16 - 2587398930034625634875615/33102877677714637349*c_0110_5^14 + 5755358155605361785740269/33102877677714637349*c_0110_5^12 - 4985500810099558507095965/33102877677714637349*c_0110_5^10 + 2562974974371328645777006/33102877677714637349*c_0110_5^8 - 920030032962727129664330/33102877677714637349*c_0110_5^6 + 224086945279384746783376/33102877677714637349*c_0110_5^4 - 31179306398312137916112/33102877677714637349*c_0110_5^2 + 1768465575065975318471/33102877677714637349, c_0011_4 - 806620976208785312877/33102877677714637349*c_0110_5^25 + 28823375476682697739301/33102877677714637349*c_0110_5^23 - 201234351014177863337102/33102877677714637349*c_0110_5^21 - 272981083522676382385630/33102877677714637349*c_0110_5^19 + 230187250700028508372776/33102877677714637349*c_0110_5^17 + 6069204281452307840321047/33102877677714637349*c_0110_5^15 - 13092660797292322497422899/33102877677714637349*c_0110_5^13 + 10928096904845217029546415/33102877677714637349*c_0110_5^11 - 5463074264858964995269694/33102877677714637349*c_0110_5^9 + 1915579524064561797436255/33102877677714637349*c_0110_5^7 - 449871579879282176259432/33102877677714637349*c_0110_5^5 + 58884422555553726323839/33102877677714637349*c_0110_5^3 - 3038241671156373482212/33102877677714637349*c_0110_5, c_0101_0 + 1092152478877928693373/33102877677714637349*c_0110_5^25 - 38972092486992581480260/33102877677714637349*c_0110_5^23 + 270546717993733855847954/33102877677714637349*c_0110_5^21 + 382474067737500131623612/33102877677714637349*c_0110_5^19 - 288628393739557454666934/33102877677714637349*c_0110_5^17 - 8225240662063352243918472/33102877677714637349*c_0110_5^15 + 17315114879700373525975484/33102877677714637349*c_0110_5^13 - 14062152668339860620736973/33102877677714637349*c_0110_5^11 + 6935998609121571049806639/33102877677714637349*c_0110_5^9 - 2411254083454483436058689/33102877677714637349*c_0110_5^7 + 557122401192575257642110/33102877677714637349*c_0110_5^5 - 72378232107514854496927/33102877677714637349*c_0110_5^3 + 3919906433883279190482/33102877677714637349*c_0110_5, c_0101_2 - 67002653717129291896/33102877677714637349*c_0110_5^25 + 2318971126662118188256/33102877677714637349*c_0110_5^23 - 14047245749385813710687/33102877677714637349*c_0110_5^21 - 40704773658615722919148/33102877677714637349*c_0110_5^19 - 11412947516458437061822/33102877677714637349*c_0110_5^17 + 517121180359179094500203/33102877677714637349*c_0110_5^15 - 517472645863009505609476/33102877677714637349*c_0110_5^13 - 154177495745950118365055/33102877677714637349*c_0110_5^11 + 266467067741604415549132/33102877677714637349*c_0110_5^9 - 145940753057048917406881/33102877677714637349*c_0110_5^7 + 54438534350136911194256/33102877677714637349*c_0110_5^5 - 10890780885979161521039/33102877677714637349*c_0110_5^3 + 749657284233021337812/33102877677714637349*c_0110_5, c_0101_3 + 89694625460855759572/33102877677714637349*c_0110_5^24 - 3212980623989958347327/33102877677714637349*c_0110_5^22 + 22658337108193168324472/33102877677714637349*c_0110_5^20 + 28392239990589887081351/33102877677714637349*c_0110_5^18 - 28293568000530385784982/33102877677714637349*c_0110_5^16 - 672582511691477065518331/33102877677714637349*c_0110_5^14 + 1515333521379548315964441/33102877677714637349*c_0110_5^12 - 1342542411953699141231644/33102877677714637349*c_0110_5^10 + 710472046533248495353546/33102877677714637349*c_0110_5^8 - 261075131980736167965368/33102877677714637349*c_0110_5^6 + 65791025897801950808874/33102877677714637349*c_0110_5^4 - 9809029317873698067139/33102877677714637349*c_0110_5^2 + 611435288886839938752/33102877677714637349, c_0110_5^26 - 36*c_0110_5^24 + 259*c_0110_5^22 + 272*c_0110_5^20 - 376*c_0110_5^18 - 7449*c_0110_5^16 + 18237*c_0110_5^14 - 17860*c_0110_5^12 + 10360*c_0110_5^10 - 4166*c_0110_5^8 + 1185*c_0110_5^6 - 220*c_0110_5^4 + 23*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB