Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 3499183586] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2760 geometric_solution 5.99663386 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257574570682 0.213777046059 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 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 0.443581966614 1.694175138462 1 4 5 3 0132 0132 0132 1230 0 0 0 0 0 1 -1 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 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 0.723193483331 1.070255303427 2 5 4 1 3012 3201 3201 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723193483331 1.070255303427 3 2 6 6 2310 0132 3201 0132 0 0 0 0 0 -1 1 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 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 0.311544965792 0.493741180358 6 6 3 2 1023 2310 2310 0132 0 0 0 0 0 -1 0 1 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 -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 0.273927897584 1.433229466374 4 5 4 5 2310 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 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 -0.397716370639 1.007812366204 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), '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' : negation(d['c_0101_3']), '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_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_5'], '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_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(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_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_0'], '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_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 227213777390381/373872378059440*c_0101_4^12 - 1664255317649391/575188273937600*c_0101_4^11 + 1588011845180779/299097902447552*c_0101_4^10 + 76859271318508561/3738723780594400*c_0101_4^9 + 103430038563004697/3738723780594400*c_0101_4^8 + 403684509977320781/7477447561188800*c_0101_4^7 - 1297477404643688939/7477447561188800*c_0101_4^6 - 2396464810129040993/7477447561188800*c_0101_4^5 + 580633668240877857/1869361890297200*c_0101_4^4 + 90907051588511101/934680945148600*c_0101_4^3 - 35069070316471999/93468094514860*c_0101_4^2 + 125989661822572051/467340472574300*c_0101_4 - 7667239647360231/116835118143575, c_0011_0 - 1, c_0011_1 + 4565605399/1855446044960*c_0101_4^12 + 22053649037/1855446044960*c_0101_4^11 - 3308772435/185544604496*c_0101_4^10 - 66693159969/927723022480*c_0101_4^9 - 268110109489/1855446044960*c_0101_4^8 - 113979524605/371089208992*c_0101_4^7 + 1063643697437/1855446044960*c_0101_4^6 + 24868494281/23193075562*c_0101_4^5 - 179544205069/463861511240*c_0101_4^4 + 95572797159/231930755620*c_0101_4^3 + 791944357/57982688905*c_0101_4^2 - 21321997313/115965377810*c_0101_4 + 44132877496/57982688905, c_0011_3 - 11915507051/9277230224800*c_0101_4^12 - 116064171117/9277230224800*c_0101_4^11 - 89980992223/4638615112400*c_0101_4^10 + 429955790193/4638615112400*c_0101_4^9 + 2367264435333/9277230224800*c_0101_4^8 + 4475599313681/9277230224800*c_0101_4^7 + 2852425708683/9277230224800*c_0101_4^6 - 5356410575399/2319307556200*c_0101_4^5 - 5417803825693/2319307556200*c_0101_4^4 + 1538768011059/1159653778100*c_0101_4^3 - 212453854801/1159653778100*c_0101_4^2 - 252635711419/579826889050*c_0101_4 + 42596235917/289913444525, c_0011_5 + 45290018619/18554460449600*c_0101_4^12 + 254088554153/18554460449600*c_0101_4^11 - 131980944303/9277230224800*c_0101_4^10 - 1072406897357/9277230224800*c_0101_4^9 - 3138505549717/18554460449600*c_0101_4^8 - 4059983108109/18554460449600*c_0101_4^7 + 13586006973553/18554460449600*c_0101_4^6 + 2652152533409/1159653778100*c_0101_4^5 - 2770552289553/4638615112400*c_0101_4^4 - 3758219549323/1159653778100*c_0101_4^3 + 1024908556837/1159653778100*c_0101_4^2 + 491965007753/579826889050*c_0101_4 - 245475978309/289913444525, c_0101_0 + 233657421699/18554460449600*c_0101_3*c_0101_4^12 + 1411757183013/18554460449600*c_0101_3*c_0101_4^11 - 239351471243/9277230224800*c_0101_3*c_0101_4^10 - 4927212117207/9277230224800*c_0101_3*c_0101_4^9 - 21909417189757/18554460449600*c_0101_3*c_0101_4^8 - 39058349785609/18554460449600*c_0101_3*c_0101_4^7 + 33482648096793/18554460449600*c_0101_3*c_0101_4^6 + 24450998149213/2319307556200*c_0101_3*c_0101_4^5 + 1210032667657/289913444525*c_0101_3*c_0101_4^4 - 3692942467649/579826889050*c_0101_3*c_0101_4^3 + 513751084483/289913444525*c_0101_3*c_0101_4^2 + 1746198529443/579826889050*c_0101_3*c_0101_4 - 765574882304/289913444525*c_0101_3, c_0101_3^2 - 38774584353/18554460449600*c_0101_4^12 - 186293212161/18554460449600*c_0101_4^11 + 21830656067/1159653778100*c_0101_4^10 + 732362748809/9277230224800*c_0101_4^9 + 1894568398179/18554460449600*c_0101_4^8 + 2379385369233/18554460449600*c_0101_4^7 - 13755777387361/18554460449600*c_0101_4^6 - 12206587411389/9277230224800*c_0101_4^5 + 5241263103061/4638615112400*c_0101_4^4 + 3904691653577/2319307556200*c_0101_4^3 - 1398237182319/1159653778100*c_0101_4^2 - 106033801943/289913444525*c_0101_4 + 100467683983/289913444525, c_0101_4^13 + 5*c_0101_4^12 - 8*c_0101_4^11 - 38*c_0101_4^10 - 51*c_0101_4^9 - 85*c_0101_4^8 + 289*c_0101_4^7 + 642*c_0101_4^6 - 480*c_0101_4^5 - 536*c_0101_4^4 + 672*c_0101_4^3 - 192*c_0101_4^2 - 192*c_0101_4 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB