Magma V2.19-8 Tue Aug 20 2013 23:57:20 on localhost [Seed = 2749746044] Type ? for help. Type -D to quit. Loading file "L14n32008__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32008 geometric_solution 11.56931097 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 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 1 0 -1 6 0 -5 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245627402063 0.755164482126 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 0 0 0 -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 1 -1 0 -6 0 0 6 0 -6 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389231765754 1.199277706444 6 0 9 8 3012 0132 0132 0132 0 0 1 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 -1 -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 0.686432074308 1.259542551131 8 10 7 0 0321 0132 3120 0132 0 1 1 0 0 0 0 0 -1 0 0 1 -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 0 0 0 -5 0 0 5 -5 5 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610490039673 1.197521469523 10 11 0 5 0132 0132 0132 0132 0 1 1 0 0 0 0 0 1 0 0 -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 1 -1 5 0 1 -6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610490039673 1.197521469523 6 1 4 9 0321 0132 0132 1302 0 1 0 1 0 0 0 0 -1 0 1 0 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 -6 0 6 0 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337197922916 0.662107046402 5 11 1 2 0321 0213 0132 1230 0 1 0 1 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 0 0 0 6 0 -6 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531592684236 0.485421197008 9 11 3 1 0321 2310 3120 0132 0 1 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 1 -2 1 0 0 0 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 0.167341168087 1.052847027071 3 10 2 11 0321 0213 0132 1230 0 0 1 1 0 0 -1 1 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 -2 2 0 0 0 0 5 -5 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553624945682 0.533099980598 7 10 5 2 0321 0321 2031 0132 0 0 0 1 0 0 -1 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 0 0 0 0 -1 1 0 0 0 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 0.462124166449 0.584328221999 4 3 8 9 0132 0132 0213 0321 0 1 0 1 0 0 0 0 -1 0 1 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 -5 0 5 0 0 2 0 -2 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245627402063 0.755164482126 8 4 6 7 3012 0132 0213 3201 0 0 0 1 0 0 0 0 -1 0 0 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 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186118877321 0.747604032004 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_2_11' : 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_0110_11'], 'c_1100_8' : d['c_0110_11'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0110_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0011_6'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_6, c_0011_7, c_0011_8, c_0011_9, c_0101_3, c_0101_7, c_0110_11, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2853621428/8005563*c_1001_2^9 + 133877357132/200139075*c_1001_2^8 - 50876609599/66713025*c_1001_2^7 + 215697444616/200139075*c_1001_2^6 - 165901641233/66713025*c_1001_2^5 + 703030460528/200139075*c_1001_2^4 - 612801132814/200139075*c_1001_2^3 + 328509056536/200139075*c_1001_2^2 - 97754885981/200139075*c_1001_2 + 568302704/8005563, c_0011_0 - 1, c_0011_10 - 1935604/79263*c_1001_2^9 + 80464126/1981575*c_1001_2^8 - 1484868/44035*c_1001_2^7 + 114607652/1981575*c_1001_2^6 - 101539973/660525*c_1001_2^5 + 378388327/1981575*c_1001_2^4 - 241623548/1981575*c_1001_2^3 + 100394501/1981575*c_1001_2^2 - 5735969/396315*c_1001_2 + 2546242/1981575, c_0011_6 - 3853880/79263*c_1001_2^9 + 20023444/396315*c_1001_2^8 - 1741979/44035*c_1001_2^7 + 37582091/396315*c_1001_2^6 - 32972714/132105*c_1001_2^5 + 18417719/79263*c_1001_2^4 - 9400423/79263*c_1001_2^3 + 17950526/396315*c_1001_2^2 - 4086082/396315*c_1001_2 + 228739/396315, c_0011_7 + 3509798/79263*c_1001_2^9 - 97154462/1981575*c_1001_2^8 + 2076763/44035*c_1001_2^7 - 186573094/1981575*c_1001_2^6 + 157071556/660525*c_1001_2^5 - 478620704/1981575*c_1001_2^4 + 312194146/1981575*c_1001_2^3 - 144310642/1981575*c_1001_2^2 + 8858569/396315*c_1001_2 - 8688644/1981575, c_0011_8 + 1, c_0011_9 - 522622/79263*c_1001_2^9 - 14012732/1981575*c_1001_2^8 + 179543/44035*c_1001_2^7 + 8248541/1981575*c_1001_2^6 - 6233734/660525*c_1001_2^5 - 61946669/1981575*c_1001_2^4 + 57159631/1981575*c_1001_2^3 - 27768337/1981575*c_1001_2^2 + 2250154/396315*c_1001_2 - 1294334/1981575, c_0101_3 - 1378595/26421*c_1001_2^9 + 10605961/132105*c_1001_2^8 - 3018718/44035*c_1001_2^7 + 16255079/132105*c_1001_2^6 - 13992846/44035*c_1001_2^5 + 10094633/26421*c_1001_2^4 - 6563074/26421*c_1001_2^3 + 14595254/132105*c_1001_2^2 - 4418863/132105*c_1001_2 + 673396/132105, c_0101_7 - 3361204/79263*c_1001_2^9 + 93411901/1981575*c_1001_2^8 - 1629644/44035*c_1001_2^7 + 169905587/1981575*c_1001_2^6 - 49199321/220175*c_1001_2^5 + 432065017/1981575*c_1001_2^4 - 230541308/1981575*c_1001_2^3 + 95205266/1981575*c_1001_2^2 - 4504337/396315*c_1001_2 + 2204212/1981575, c_0110_11 - 774581/79263*c_1001_2^9 + 65677514/1981575*c_1001_2^8 - 1389074/44035*c_1001_2^7 + 73920598/1981575*c_1001_2^6 - 20764909/220175*c_1001_2^5 + 325032458/1981575*c_1001_2^4 - 261689242/1981575*c_1001_2^3 + 123723544/1981575*c_1001_2^2 - 8752252/396315*c_1001_2 + 7896728/1981575, c_1001_0 - 1660103/79263*c_1001_2^9 + 71969882/1981575*c_1001_2^8 - 1599016/44035*c_1001_2^7 + 110773939/1981575*c_1001_2^6 - 91594486/660525*c_1001_2^5 + 360114089/1981575*c_1001_2^4 - 277868611/1981575*c_1001_2^3 + 137674957/1981575*c_1001_2^2 - 9437023/396315*c_1001_2 + 8882894/1981575, c_1001_11 + 4294000/79263*c_1001_2^9 - 5591890/79263*c_1001_2^8 + 555093/8807*c_1001_2^7 - 9532298/79263*c_1001_2^6 + 8163289/26421*c_1001_2^5 - 26926228/79263*c_1001_2^4 + 17333132/79263*c_1001_2^3 - 7915094/79263*c_1001_2^2 + 2544928/79263*c_1001_2 - 434740/79263, c_1001_2^10 - 44/25*c_1001_2^9 + 43/25*c_1001_2^8 - 68/25*c_1001_2^7 + 167/25*c_1001_2^6 - 44/5*c_1001_2^5 + 168/25*c_1001_2^4 - 88/25*c_1001_2^3 + 33/25*c_1001_2^2 - 8/25*c_1001_2 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB