Magma V2.19-8 Wed Aug 21 2013 00:51:27 on localhost [Seed = 3819304590] Type ? for help. Type -D to quit. Loading file "L11a452__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a452 geometric_solution 11.98379141 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 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 1 0 -1 0 0 0 0 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814861904435 1.214910715381 0 3 6 5 0132 3120 0132 0132 0 2 1 2 0 1 0 -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 2 -1 -1 0 0 -1 1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822852466730 0.843523875191 7 0 8 7 0132 0132 0132 2031 2 2 1 2 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 -1 0 1 0 0 5 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648122866195 0.668161212970 6 1 5 0 1230 3120 1230 0132 2 2 1 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 -6 0 0 6 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177147533270 0.843523875191 9 10 0 5 0132 0132 0132 1230 2 2 1 2 0 0 0 0 0 0 0 0 0 0 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 -0.161834855147 0.905796350929 4 6 1 3 3012 0213 0132 3012 0 2 2 1 0 0 1 -1 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 1 0 -1 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561292470772 0.402212625588 10 3 5 1 2103 3012 0213 0132 0 2 2 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 -1 0 1 -1 0 0 1 0 0 0 0 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407430952218 0.607455357690 2 2 11 12 0132 1302 0132 0132 2 2 2 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 5 -5 0 0 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 0.252024374587 0.771101171112 11 9 10 2 1302 2103 2103 0132 2 2 2 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 0 0 0 0 0 0 4 0 1 -5 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648604960976 0.370536360524 4 8 11 10 0132 2103 1302 2103 2 2 2 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 0.342431878950 1.280200137575 8 4 6 9 2103 0132 2103 2103 2 2 2 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 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 0.185540500855 1.185175920798 9 8 12 7 2031 2031 3201 0132 2 2 1 2 0 0 -1 1 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 -5 5 0 0 0 0 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252024374587 0.771101171112 11 12 7 12 2310 1302 0132 2031 2 2 2 2 0 -1 0 1 -1 0 0 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 -4 0 4 -4 0 0 4 0 -4 0 4 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446013752221 1.487710994763 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : 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_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0011_8, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 491509782661197748734/268070082484863622439*c_1001_2^8 + 2678492881793952572319/268070082484863622439*c_1001_2^7 - 151422925991088367303/6459520059876231866*c_1001_2^6 + 17331758530456987038861/536140164969727244878*c_1001_2^5 - 8236572173607873026714/268070082484863622439*c_1001_2^4 + 970871526346937474941/38295726069266231777*c_1001_2^3 - 10229005441640535115121/536140164969727244878*c_1001_2^2 + 2628174909723442554865/268070082484863622439*c_1001_2 + 29165021170857831207/536140164969727244878, c_0011_0 - 1, c_0011_10 + 553144619892198/47649931838393*c_1001_2^8 - 2746192113964790/47649931838393*c_1001_2^7 + 6320834997095484/47649931838393*c_1001_2^6 - 8880940024620178/47649931838393*c_1001_2^5 + 8983137663895970/47649931838393*c_1001_2^4 - 7830345723909406/47649931838393*c_1001_2^3 + 6179833576991408/47649931838393*c_1001_2^2 - 3427678616968027/47649931838393*c_1001_2 + 810699660570562/47649931838393, c_0011_11 - 1, c_0011_12 + 169839647726436/47649931838393*c_1001_2^8 - 777355623145509/47649931838393*c_1001_2^7 + 1596393206868768/47649931838393*c_1001_2^6 - 1986777318888692/47649931838393*c_1001_2^5 + 1846548292196092/47649931838393*c_1001_2^4 - 1618662448398944/47649931838393*c_1001_2^3 + 1223129679909632/47649931838393*c_1001_2^2 - 513936897538296/47649931838393*c_1001_2 + 63542136052580/47649931838393, c_0011_3 + 186938890855458/47649931838393*c_1001_2^8 - 1251629467894762/47649931838393*c_1001_2^7 + 3465391262840748/47649931838393*c_1001_2^6 - 5572578775758486/47649931838393*c_1001_2^5 + 6045784232008670/47649931838393*c_1001_2^4 - 5335677961854610/47649931838393*c_1001_2^3 + 4369853225364584/47649931838393*c_1001_2^2 - 2821479156410620/47649931838393*c_1001_2 + 856900453720153/47649931838393, c_0011_6 + 186938890855458/47649931838393*c_1001_2^8 - 1251629467894762/47649931838393*c_1001_2^7 + 3465391262840748/47649931838393*c_1001_2^6 - 5572578775758486/47649931838393*c_1001_2^5 + 6045784232008670/47649931838393*c_1001_2^4 - 5335677961854610/47649931838393*c_1001_2^3 + 4369853225364584/47649931838393*c_1001_2^2 - 2821479156410620/47649931838393*c_1001_2 + 904550385558546/47649931838393, c_0011_8 + 823136868229314/47649931838393*c_1001_2^8 - 3723834449356490/47649931838393*c_1001_2^7 + 7892029719981420/47649931838393*c_1001_2^6 - 10415518206341302/47649931838393*c_1001_2^5 + 10195939143665278/47649931838393*c_1001_2^4 - 8892241390790009/47649931838393*c_1001_2^3 + 6821983624005408/47649931838393*c_1001_2^2 - 3421649123405008/47649931838393*c_1001_2 + 729242377739014/47649931838393, c_0101_1 - 1, c_0101_11 - 126259069359108/47649931838393*c_1001_2^8 + 489232802883164/47649931838393*c_1001_2^7 - 841047293628928/47649931838393*c_1001_2^6 + 883213733846652/47649931838393*c_1001_2^5 - 733800406687796/47649931838393*c_1001_2^4 + 631235606909980/47649931838393*c_1001_2^3 - 434694549644351/47649931838393*c_1001_2^2 + 68885557924436/47649931838393*c_1001_2 + 43361989048531/47649931838393, c_0101_12 - 48640019951928/47649931838393*c_1001_2^8 + 296769576297176/47649931838393*c_1001_2^7 - 707633166153520/47649931838393*c_1001_2^6 + 974378471985544/47649931838393*c_1001_2^5 - 934357558487425/47649931838393*c_1001_2^4 + 803673075198816/47649931838393*c_1001_2^3 - 597528683726309/47649931838393*c_1001_2^2 + 305768794597568/47649931838393*c_1001_2 - 36981083093265/47649931838393, c_0101_3 + 1, c_0110_5 - 366205729036740/47649931838393*c_1001_2^8 + 1494562646070028/47649931838393*c_1001_2^7 - 2855443734254736/47649931838393*c_1001_2^6 + 3308361248861692/47649931838393*c_1001_2^5 - 2937353431887300/47649931838393*c_1001_2^4 + 2494667762054796/47649931838393*c_1001_2^3 - 1809980351626824/47649931838393*c_1001_2^2 + 653849392395800/47649931838393*c_1001_2 - 49099070527195/47649931838393, c_1001_2^9 - 611/129*c_1001_2^8 + 1360/129*c_1001_2^7 - 625/43*c_1001_2^6 + 1889/129*c_1001_2^5 - 1655/129*c_1001_2^4 + 1294/129*c_1001_2^3 - 698/129*c_1001_2^2 + 173/129*c_1001_2 + 1/129 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB