Magma V2.19-8 Tue Aug 20 2013 23:40:26 on localhost [Seed = 930173883] Type ? for help. Type -D to quit. Loading file "L11a192__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a192 geometric_solution 9.20278444 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1230 0132 1 1 0 1 0 0 0 0 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 1 2 0 -3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.208706404256 0.740754008713 0 4 4 5 0132 0132 1302 0132 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647619008117 1.250692968730 3 0 5 0 0213 0132 1302 3012 1 1 1 0 0 0 -1 1 0 0 0 0 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 -1 -1 2 0 0 0 0 2 -2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249058933547 0.882101361874 2 6 0 7 0213 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 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 1 -1 -2 0 1 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607266478825 1.109345615569 1 1 8 7 2031 0132 0132 1023 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 0.673520428754 0.630502964049 2 8 1 9 2031 0132 0132 0132 1 1 0 1 0 0 0 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 0 0 0 0 0 -1 0 1 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036040251662 0.499547285453 8 3 10 9 0132 0132 0132 1230 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 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032880080045 0.663489736960 8 9 3 4 2031 0132 0132 1023 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 -1 1 0 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 0.027298126734 0.557100649299 6 5 7 4 0132 0132 1302 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.048335577053 0.741219649187 6 7 5 10 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452712948844 1.222673355002 9 10 10 6 3012 3201 2310 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 -0.496231533670 1.104030850637 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], '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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_4'], 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0110_4'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_4'], '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_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' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0110_10' : d['c_0101_4'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_7'])})} 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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_4, c_0101_7, c_0101_9, c_0110_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 905041549957/86725580337*c_1001_4^11 - 701820986017/57817053558*c_1001_4^10 + 31522837804087/173451160674*c_1001_4^9 + 463154691283/2141372354*c_1001_4^8 - 35918773922695/28908526779*c_1001_4^7 - 129688514515676/86725580337*c_1001_4^6 + 724320210681209/173451160674*c_1001_4^5 + 869488443761425/173451160674*c_1001_4^4 - 54980498010815/7884143667*c_1001_4^3 - 1433066733880681/173451160674*c_1001_4^2 + 413548974813296/86725580337*c_1001_4 + 979495029852827/173451160674, c_0011_0 - 1, c_0011_10 - 5613/9224*c_1001_4^11 - 3691/4612*c_1001_4^10 + 50113/4612*c_1001_4^9 + 131409/9224*c_1001_4^8 - 349013/4612*c_1001_4^7 - 906407/9224*c_1001_4^6 + 297217/1153*c_1001_4^5 + 3026983/9224*c_1001_4^4 - 4007031/9224*c_1001_4^3 - 4964643/9224*c_1001_4^2 + 2749091/9224*c_1001_4 + 3380335/9224, c_0011_3 - 5089/4612*c_1001_4^11 - 2913/2306*c_1001_4^10 + 44247/2306*c_1001_4^9 + 103957/4612*c_1001_4^8 - 302125/2306*c_1001_4^7 - 717859/4612*c_1001_4^6 + 507158/1153*c_1001_4^5 + 2400439/4612*c_1001_4^4 - 3383575/4612*c_1001_4^3 - 3943483/4612*c_1001_4^2 + 2308691/4612*c_1001_4 + 2681051/4612, c_0011_7 + 902/1153*c_1001_4^11 + 1191/1153*c_1001_4^10 - 15812/1153*c_1001_4^9 - 20965/1153*c_1001_4^8 + 108544/1153*c_1001_4^7 + 143347/1153*c_1001_4^6 - 365929/1153*c_1001_4^5 - 475612/1153*c_1001_4^4 + 613286/1153*c_1001_4^3 + 775900/1153*c_1001_4^2 - 421822/1153*c_1001_4 - 523873/1153, c_0101_0 - 1, c_0101_10 - 3283/4612*c_1001_4^11 - 1543/2306*c_1001_4^10 + 28351/2306*c_1001_4^9 + 57187/4612*c_1001_4^8 - 192029/2306*c_1001_4^7 - 405361/4612*c_1001_4^6 + 319332/1153*c_1001_4^5 + 1381041/4612*c_1001_4^4 - 2108521/4612*c_1001_4^3 - 2306829/4612*c_1001_4^2 + 1424833/4612*c_1001_4 + 1599637/4612, c_0101_4 - 2805/9224*c_1001_4^11 - 1423/4612*c_1001_4^10 + 24417/4612*c_1001_4^9 + 51121/9224*c_1001_4^8 - 167001/4612*c_1001_4^7 - 356023/9224*c_1001_4^6 + 140516/1153*c_1001_4^5 + 1201783/9224*c_1001_4^4 - 1880679/9224*c_1001_4^3 - 1996683/9224*c_1001_4^2 + 1282123/9224*c_1001_4 + 1381855/9224, c_0101_7 + 5651/9224*c_1001_4^11 + 3633/4612*c_1001_4^10 - 49403/4612*c_1001_4^9 - 128823/9224*c_1001_4^8 + 339299/4612*c_1001_4^7 + 887057/9224*c_1001_4^6 - 286616/1153*c_1001_4^5 - 2966361/9224*c_1001_4^4 + 3853593/9224*c_1001_4^3 + 4879653/9224*c_1001_4^2 - 2655325/9224*c_1001_4 - 3325921/9224, c_0101_9 - 5651/9224*c_1001_4^11 - 3633/4612*c_1001_4^10 + 49403/4612*c_1001_4^9 + 128823/9224*c_1001_4^8 - 339299/4612*c_1001_4^7 - 887057/9224*c_1001_4^6 + 286616/1153*c_1001_4^5 + 2966361/9224*c_1001_4^4 - 3853593/9224*c_1001_4^3 - 4879653/9224*c_1001_4^2 + 2655325/9224*c_1001_4 + 3316697/9224, c_0110_4 - 2805/9224*c_1001_4^11 - 1423/4612*c_1001_4^10 + 24417/4612*c_1001_4^9 + 51121/9224*c_1001_4^8 - 167001/4612*c_1001_4^7 - 356023/9224*c_1001_4^6 + 140516/1153*c_1001_4^5 + 1201783/9224*c_1001_4^4 - 1880679/9224*c_1001_4^3 - 1996683/9224*c_1001_4^2 + 1291347/9224*c_1001_4 + 1381855/9224, c_1001_4^12 - c_1001_4^11 - 20*c_1001_4^10 + 17*c_1001_4^9 + 165*c_1001_4^8 - 115*c_1001_4^7 - 717*c_1001_4^6 + 389*c_1001_4^5 + 1728*c_1001_4^4 - 662*c_1001_4^3 - 2200*c_1001_4^2 + 454*c_1001_4 + 1189 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB