Magma V2.19-8 Tue Aug 20 2013 23:42:10 on localhost [Seed = 3599807360] Type ? for help. Type -D to quit. Loading file "L13a4224__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4224 geometric_solution 8.06459487 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -11 -1 12 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133428447139 0.469910858398 0 4 5 0 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 1 -1 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 -11 11 -1 1 0 0 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891752438132 0.483565554740 4 4 6 0 0132 1230 0132 0132 1 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 0 0 0 0 -1 0 1 0 0 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133428447139 0.469910858398 7 8 0 7 0132 0132 0132 1023 1 1 1 1 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 12 -12 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 -0.084782138754 1.177376864563 2 1 2 9 0132 0132 3012 0132 1 1 1 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 0 0 0 0 0 1 -1 0 -11 0 11 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440831439037 1.969290538159 8 8 9 1 2031 2310 1302 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 -11 11 0 -12 0 12 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.374713596174 0.724072820479 9 10 10 2 3120 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084782138754 1.177376864563 3 10 10 3 0132 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.698002969343 0.352655339261 9 3 5 5 1302 0132 1302 3201 1 1 1 1 0 1 0 -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 -12 0 12 0 0 -12 12 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.055839064553 0.424140280196 5 8 4 6 2031 2031 0132 3120 1 1 1 1 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 -1 0 1 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133187762238 1.389268828697 7 6 6 7 1023 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.698002969343 0.352655339261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0110_8']), 'c_1001_8' : d['c_0101_1'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1100_0']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0011_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_5'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_7, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3974961168194907/5492565083246048*c_1100_0^11 + 27108245059650335/2746282541623024*c_1100_0^10 - 81615978092731665/2746282541623024*c_1100_0^9 - 192712895300872999/2746282541623024*c_1100_0^8 + 680941862256560307/2746282541623024*c_1100_0^7 + 1112137687803265861/5492565083246048*c_1100_0^6 + 2672011465366368807/5492565083246048*c_1100_0^5 + 1339697143801898109/5492565083246048*c_1100_0^4 + 1140836163472677325/5492565083246048*c_1100_0^3 + 132470021509132585/2746282541623024*c_1100_0^2 - 48327251301679631/5492565083246048*c_1100_0 - 51824209526711871/5492565083246048, c_0011_0 - 1, c_0011_10 + 9068061004663/171642658851439*c_1100_0^11 - 120988055519880/171642658851439*c_1100_0^10 + 331841070259698/171642658851439*c_1100_0^9 + 1043493809186012/171642658851439*c_1100_0^8 - 3027492775343444/171642658851439*c_1100_0^7 - 3758595402153767/171642658851439*c_1100_0^6 - 5296617686806641/171642658851439*c_1100_0^5 - 4443930432426463/171642658851439*c_1100_0^4 - 2040646701934277/171642658851439*c_1100_0^3 - 1439027959385314/171642658851439*c_1100_0^2 - 3711035363746/171642658851439*c_1100_0 + 98169908532255/171642658851439, c_0011_5 + 15041980378205/171642658851439*c_1100_0^11 - 214288027921950/171642658851439*c_1100_0^10 + 744427887924666/171642658851439*c_1100_0^9 + 1053218306753644/171642658851439*c_1100_0^8 - 5952483332868336/171642658851439*c_1100_0^7 - 835631324152536/171642658851439*c_1100_0^6 - 8283194273744199/171642658851439*c_1100_0^5 + 210554637565776/171642658851439*c_1100_0^4 - 2980252840428678/171642658851439*c_1100_0^3 + 506822427434657/171642658851439*c_1100_0^2 + 335570982681761/171642658851439*c_1100_0 - 15149867005061/171642658851439, c_0101_0 - 9068061004663/343285317702878*c_1100_0^11 + 60494027759940/171642658851439*c_1100_0^10 - 165920535129849/171642658851439*c_1100_0^9 - 521746904593006/171642658851439*c_1100_0^8 + 1513746387671722/171642658851439*c_1100_0^7 + 3758595402153767/343285317702878*c_1100_0^6 + 5296617686806641/343285317702878*c_1100_0^5 + 4443930432426463/343285317702878*c_1100_0^4 + 2040646701934277/343285317702878*c_1100_0^3 + 719513979692657/171642658851439*c_1100_0^2 + 175353694215185/343285317702878*c_1100_0 - 98169908532255/343285317702878, c_0101_1 - 1, c_0101_10 - 4486197771973/171642658851439*c_1100_0^11 + 60893835111020/171642658851439*c_1100_0^10 - 179995709416053/171642658851439*c_1100_0^9 - 449065019520081/171642658851439*c_1100_0^8 + 1505454565114498/171642658851439*c_1100_0^7 + 1415993061033238/171642658851439*c_1100_0^6 + 3072430870715019/171642658851439*c_1100_0^5 + 1340102191124891/171642658851439*c_1100_0^4 + 1318088092464614/171642658851439*c_1100_0^3 - 70855263892684/171642658851439*c_1100_0^2 - 40175703701459/171642658851439*c_1100_0 - 190217504701327/171642658851439, c_0101_2 + 7701715549335/171642658851439*c_1100_0^11 - 109091444574061/171642658851439*c_1100_0^10 + 373369347422680/171642658851439*c_1100_0^9 + 554073385481591/171642658851439*c_1100_0^8 - 2949095638405237/171642658851439*c_1100_0^7 - 585468781132939/171642658851439*c_1100_0^6 - 4731439447642762/171642658851439*c_1100_0^5 - 365775828586238/171642658851439*c_1100_0^4 - 2101305718719960/171642658851439*c_1100_0^3 - 13016503700046/171642658851439*c_1100_0^2 - 45961394250821/171642658851439*c_1100_0 - 91510564265635/171642658851439, c_0101_6 + 1, c_0101_7 + 4486197771973/171642658851439*c_1100_0^11 - 60893835111020/171642658851439*c_1100_0^10 + 179995709416053/171642658851439*c_1100_0^9 + 449065019520081/171642658851439*c_1100_0^8 - 1505454565114498/171642658851439*c_1100_0^7 - 1415993061033238/171642658851439*c_1100_0^6 - 3072430870715019/171642658851439*c_1100_0^5 - 1340102191124891/171642658851439*c_1100_0^4 - 1318088092464614/171642658851439*c_1100_0^3 + 70855263892684/171642658851439*c_1100_0^2 + 40175703701459/171642658851439*c_1100_0 + 190217504701327/171642658851439, c_0110_8 + 6341524898140/171642658851439*c_1100_0^11 - 94212581238878/171642658851439*c_1100_0^10 + 367656495226492/171642658851439*c_1100_0^9 + 271332810223317/171642658851439*c_1100_0^8 - 2845316593110644/171642658851439*c_1100_0^7 + 1084279114305179/171642658851439*c_1100_0^6 - 2760904006700849/171642658851439*c_1100_0^5 + 2309049765761587/171642658851439*c_1100_0^4 - 566727800450747/171642658851439*c_1100_0^3 + 1076021246877376/171642658851439*c_1100_0^2 + 418749927418382/171642658851439*c_1100_0 - 88835571143304/171642658851439, c_1100_0^12 - 14*c_1100_0^11 + 46*c_1100_0^10 + 82*c_1100_0^9 - 378*c_1100_0^8 - 151*c_1100_0^7 - 569*c_1100_0^6 - 131*c_1100_0^5 - 203*c_1100_0^4 - 10*c_1100_0^3 + 21*c_1100_0^2 + 9*c_1100_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB