Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 2345277061] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3404 geometric_solution 6.57148936 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 -1 2 -1 0 1 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 1 -1 1 0 -1 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 0.479681212750 0.778860375815 0 4 0 2 0132 0132 1230 2103 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 1 -2 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593053795662 0.887736736567 5 0 5 1 0132 0132 1023 2103 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 0 0.084892023525 1.337689964103 5 4 6 0 3012 3201 0132 0132 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 -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 0.955311631753 0.803098211162 5 1 3 6 1023 0132 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386672076257 0.515604062634 2 4 2 3 0132 1023 1023 1230 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 0 0 0 0 0 0 -0.324183186225 1.140185061711 6 4 6 3 2031 1302 1302 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 -1 1 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 -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 0 0 0 0.456563192450 0.676130996248 ==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_6']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 19215645610338633/9567977851945825*c_1001_0^16 + 232870592026860049/9567977851945825*c_1001_0^15 - 1183538778057344811/9567977851945825*c_1001_0^14 + 237853974138347547/735998296303525*c_1001_0^13 - 274618979040347972/735998296303525*c_1001_0^12 - 1794837178587459429/9567977851945825*c_1001_0^11 + 10529121423719209304/9567977851945825*c_1001_0^10 - 7778575346078173668/9567977851945825*c_1001_0^9 - 16901747509855211611/9567977851945825*c_1001_0^8 + 47236249617044098874/9567977851945825*c_1001_0^7 - 50165397748826571253/9567977851945825*c_1001_0^6 + 13765427124941331648/9567977851945825*c_1001_0^5 + 33040996130098968611/9567977851945825*c_1001_0^4 - 50165850031056051494/9567977851945825*c_1001_0^3 + 6602014259399933938/1913595570389165*c_1001_0^2 - 10404274715233448571/9567977851945825*c_1001_0 + 1171015424723154006/9567977851945825, c_0011_0 - 1, c_0011_3 + 3436246357845/29439931852141*c_1001_0^16 - 39367890811095/29439931852141*c_1001_0^15 + 184371549610005/29439931852141*c_1001_0^14 - 418756375610619/29439931852141*c_1001_0^13 + 312516629539125/29439931852141*c_1001_0^12 + 615864838366217/29439931852141*c_1001_0^11 - 1495690141486659/29439931852141*c_1001_0^10 + 207967924386035/29439931852141*c_1001_0^9 + 3424029120116204/29439931852141*c_1001_0^8 - 6020175371455990/29439931852141*c_1001_0^7 + 4130535945787417/29439931852141*c_1001_0^6 + 1364364116591153/29439931852141*c_1001_0^5 - 5469463998445066/29439931852141*c_1001_0^4 + 4802161021379574/29439931852141*c_1001_0^3 - 1717096338344972/29439931852141*c_1001_0^2 + 68719132747841/29439931852141*c_1001_0 + 17888199238960/29439931852141, c_0011_6 + 1265779555824/29439931852141*c_1001_0^16 - 14619099647408/29439931852141*c_1001_0^15 + 68782534607310/29439931852141*c_1001_0^14 - 157039475481216/29439931852141*c_1001_0^13 + 120929613958332/29439931852141*c_1001_0^12 + 217415974790480/29439931852141*c_1001_0^11 - 544271232034566/29439931852141*c_1001_0^10 + 93037778529816/29439931852141*c_1001_0^9 + 1224036009952178/29439931852141*c_1001_0^8 - 2227637634634540/29439931852141*c_1001_0^7 + 1637007177707599/29439931852141*c_1001_0^6 + 325021081637259/29439931852141*c_1001_0^5 - 1898716900024344/29439931852141*c_1001_0^4 + 1832251412574218/29439931852141*c_1001_0^3 - 824630925688013/29439931852141*c_1001_0^2 + 164093273010197/29439931852141*c_1001_0 - 26909113872989/29439931852141, c_0101_0 + 1, c_0101_1 + 9983745059863/29439931852141*c_1001_0^16 - 118539161162532/29439931852141*c_1001_0^15 + 585671383500196/29439931852141*c_1001_0^14 - 1462100034583450/29439931852141*c_1001_0^13 + 1495788948612590/29439931852141*c_1001_0^12 + 1297238720655306/29439931852141*c_1001_0^11 - 5154487004542698/29439931852141*c_1001_0^10 + 2797408809366149/29439931852141*c_1001_0^9 + 9449767092225956/29439931852141*c_1001_0^8 - 22252588105250040/29439931852141*c_1001_0^7 + 20656285675756043/29439931852141*c_1001_0^6 - 2077028837661941/29439931852141*c_1001_0^5 - 17795886067224523/29439931852141*c_1001_0^4 + 21867727716960802/29439931852141*c_1001_0^3 - 11842153283577260/29439931852141*c_1001_0^2 + 2428638321247583/29439931852141*c_1001_0 + 76827839172304/29439931852141, c_0101_3 + 3589108171204/29439931852141*c_1001_0^16 - 40258729763568/29439931852141*c_1001_0^15 + 184530738694121/29439931852141*c_1001_0^14 - 408640490397461/29439931852141*c_1001_0^13 + 287162745541910/29439931852141*c_1001_0^12 + 617957831045322/29439931852141*c_1001_0^11 - 1424879841808069/29439931852141*c_1001_0^10 + 133467554387821/29439931852141*c_1001_0^9 + 3351728923406258/29439931852141*c_1001_0^8 - 5805062417204436/29439931852141*c_1001_0^7 + 3957573135271189/29439931852141*c_1001_0^6 + 1323150848709303/29439931852141*c_1001_0^5 - 5238149227196173/29439931852141*c_1001_0^4 + 4623112440509479/29439931852141*c_1001_0^3 - 1717834334994222/29439931852141*c_1001_0^2 + 108607766608676/29439931852141*c_1001_0 + 23062086042824/29439931852141, c_1001_0^17 - 13*c_1001_0^16 + 72*c_1001_0^15 - 212*c_1001_0^14 + 312*c_1001_0^13 - 32*c_1001_0^12 - 668*c_1001_0^11 + 851*c_1001_0^10 + 657*c_1001_0^9 - 3298*c_1001_0^8 + 4521*c_1001_0^7 - 2441*c_1001_0^6 - 1607*c_1001_0^5 + 4163*c_1001_0^4 - 3560*c_1001_0^3 + 1512*c_1001_0^2 - 252*c_1001_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB