Magma V2.19-8 Tue Aug 20 2013 17:57:16 on localhost [Seed = 442215962] Type ? for help. Type -D to quit. Loading file "9^2_12__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_12 geometric_solution 11.18847780 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 1 0 -1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934626554925 0.758211568262 0 4 5 0 0132 0132 0132 2031 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 0 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 0.112876610651 1.309160805035 6 6 5 0 0132 1230 1302 0132 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 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 0.576565784098 0.705990945012 6 5 0 7 3120 1230 0132 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 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 0.454038994852 0.289126109004 8 1 8 9 0132 0132 3012 0132 1 1 1 0 0 0 -1 1 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 -2 2 0 0 0 0 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617014546742 0.492961230488 2 7 3 1 2031 2031 3012 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 0.170529727004 0.474930943110 2 10 2 3 0132 0132 3012 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306054197996 0.849719955738 5 11 3 11 1302 0132 0132 0213 1 1 1 1 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 1 -1 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 0.474493026103 0.673892463388 4 4 11 9 0132 1230 0321 1023 1 1 0 1 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 1 -1 0 0 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982798628547 1.265013115065 10 10 4 8 3120 1023 0132 1023 1 1 0 1 0 1 -1 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 2 -2 0 -1 0 0 1 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635299775589 0.773371299809 9 6 11 9 1023 0132 1302 3120 1 1 0 1 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 0 -1 1 -2 0 1 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 0.498831247292 1.057805134961 10 7 8 7 2031 0132 0321 0213 1 1 1 1 0 0 0 0 1 0 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 -1 1 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474493026103 0.673892463388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_5']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_4'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_5, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 366337602573/12005210380*c_1001_3^11 - 15391341322849/24010420760*c_1001_3^10 + 71382791354681/12005210380*c_1001_3^9 - 77259442316239/2401042076*c_1001_3^8 + 2715797356092321/24010420760*c_1001_3^7 - 3265694050930159/12005210380*c_1001_3^6 + 11020228216672657/24010420760*c_1001_3^5 - 6573628396341539/12005210380*c_1001_3^4 + 10988375338349957/24010420760*c_1001_3^3 - 620834810585261/2401042076*c_1001_3^2 + 271312812762198/3001302595*c_1001_3 - 362499963017287/24010420760, c_0011_0 - 1, c_0011_10 - 104443/4318421*c_1001_3^11 + 10397439/21592105*c_1001_3^10 - 91055432/21592105*c_1001_3^9 + 464884411/21592105*c_1001_3^8 - 1548823059/21592105*c_1001_3^7 + 714377300/4318421*c_1001_3^6 - 5885924952/21592105*c_1001_3^5 + 6993488016/21592105*c_1001_3^4 - 5886580466/21592105*c_1001_3^3 + 3343023102/21592105*c_1001_3^2 - 1155360548/21592105*c_1001_3 + 163221268/21592105, c_0011_11 - 73898/4318421*c_1001_3^11 + 1538460/4318421*c_1001_3^10 - 14059186/4318421*c_1001_3^9 + 74626498/4318421*c_1001_3^8 - 256700934/4318421*c_1001_3^7 + 603874696/4318421*c_1001_3^6 - 997916955/4318421*c_1001_3^5 + 1171970121/4318421*c_1001_3^4 - 978230998/4318421*c_1001_3^3 + 568257520/4318421*c_1001_3^2 - 209757358/4318421*c_1001_3 + 37920824/4318421, c_0011_3 + 605027/21592105*c_1001_3^11 - 12052053/21592105*c_1001_3^10 + 104504804/21592105*c_1001_3^9 - 103643584/4318421*c_1001_3^8 + 1623581657/21592105*c_1001_3^7 - 3353103241/21592105*c_1001_3^6 + 4635009569/21592105*c_1001_3^5 - 4282201166/21592105*c_1001_3^4 + 2572706854/21592105*c_1001_3^3 - 178441081/4318421*c_1001_3^2 + 125040173/21592105*c_1001_3 + 15078426/21592105, c_0011_5 - 46861/21592105*c_1001_3^11 + 379054/21592105*c_1001_3^10 + 2914158/21592105*c_1001_3^9 - 10975801/4318421*c_1001_3^8 + 342442309/21592105*c_1001_3^7 - 1194803507/21592105*c_1001_3^6 + 2611621638/21592105*c_1001_3^5 - 3713628587/21592105*c_1001_3^4 + 3459650033/21592105*c_1001_3^3 - 410987933/4318421*c_1001_3^2 + 694534891/21592105*c_1001_3 - 112225488/21592105, c_0101_0 - 3822288/21592105*c_1001_3^11 + 15647600/4318421*c_1001_3^10 - 140666781/4318421*c_1001_3^9 + 3664413862/21592105*c_1001_3^8 - 12300404196/21592105*c_1001_3^7 + 27968027564/21592105*c_1001_3^6 - 8817464136/4318421*c_1001_3^5 + 48468652461/21592105*c_1001_3^4 - 36721841343/21592105*c_1001_3^3 + 18366502139/21592105*c_1001_3^2 - 5469541573/21592105*c_1001_3 + 718672242/21592105, c_0101_1 - 1, c_0101_11 + 776773/21592105*c_1001_3^11 - 14799637/21592105*c_1001_3^10 + 123553216/21592105*c_1001_3^9 - 119417400/4318421*c_1001_3^8 + 1858479883/21592105*c_1001_3^7 - 3919443534/21592105*c_1001_3^6 + 5735357076/21592105*c_1001_3^5 - 5844391639/21592105*c_1001_3^4 + 4057342321/21592105*c_1001_3^3 - 360511888/4318421*c_1001_3^2 + 444907702/21592105*c_1001_3 - 40273321/21592105, c_0101_4 + 68872/21592105*c_1001_3^11 - 955572/21592105*c_1001_3^10 + 4285686/21592105*c_1001_3^9 + 2091664/21592105*c_1001_3^8 - 100910334/21592105*c_1001_3^7 + 489134639/21592105*c_1001_3^6 - 1295219584/21592105*c_1001_3^5 + 2187846793/21592105*c_1001_3^4 - 487228258/4318421*c_1001_3^3 + 1740188633/21592105*c_1001_3^2 - 732054649/21592105*c_1001_3 + 149639073/21592105, c_0101_5 - 358448/4318421*c_1001_3^11 + 7245149/4318421*c_1001_3^10 - 63988955/4318421*c_1001_3^9 + 325483154/4318421*c_1001_3^8 - 1058899312/4318421*c_1001_3^7 + 2315057044/4318421*c_1001_3^6 - 3480429297/4318421*c_1001_3^5 + 3619574508/4318421*c_1001_3^4 - 2571176674/4318421*c_1001_3^3 + 1190311632/4318421*c_1001_3^2 - 324115931/4318421*c_1001_3 + 37474842/4318421, c_1001_11 - 901616/21592105*c_1001_3^11 + 19292434/21592105*c_1001_3^10 - 181148297/21592105*c_1001_3^9 + 196551091/4318421*c_1001_3^8 - 3416998966/21592105*c_1001_3^7 + 7993789698/21592105*c_1001_3^6 - 12873349272/21592105*c_1001_3^5 + 14372606508/21592105*c_1001_3^4 - 11038575777/21592105*c_1001_3^3 + 1126368398/4318421*c_1001_3^2 - 1747823044/21592105*c_1001_3 + 251151477/21592105, c_1001_3^12 - 21*c_1001_3^11 + 195*c_1001_3^10 - 1059*c_1001_3^9 + 3751*c_1001_3^8 - 9150*c_1001_3^7 + 15823*c_1001_3^6 - 19662*c_1001_3^5 + 17553*c_1001_3^4 - 11049*c_1001_3^3 + 4679*c_1001_3^2 - 1195*c_1001_3 + 139 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB