Magma V2.19-8 Wed Aug 21 2013 00:51:46 on localhost [Seed = 189603401] Type ? for help. Type -D to quit. Loading file "L11n261__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n261 geometric_solution 12.21631478 oriented_manifold CS_known 0.0000000000000003 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 1 2 2 2 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 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 1.001210023396 0.777501527000 0 5 7 6 0132 0132 0132 0132 2 2 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 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 0.433996143920 0.253469194419 4 0 8 7 0213 0132 0132 3012 1 2 2 2 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 0 1 0 0 0 0 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781499868024 0.672260127641 6 9 10 0 0132 0132 0132 0132 1 2 2 0 0 -1 0 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 0 0 0 -1 1 -6 6 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737052699878 0.659959239112 2 11 0 12 0213 0132 0132 0132 1 2 2 2 0 0 -1 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 -1 0 1 0 0 0 0 1 -1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478262357342 0.608430791222 9 1 8 10 0213 0132 1302 1230 2 0 2 2 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 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812171712708 0.947124066520 3 11 1 12 0132 3012 0132 3120 2 2 0 2 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694278329958 1.097837609958 9 10 2 1 2310 1230 1230 0132 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 1 -1 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 0.945926951975 1.530808625025 5 11 12 2 2031 0321 0132 0132 1 2 2 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 0 0 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601365016090 0.928315647098 5 3 7 12 0213 0132 3201 0321 1 2 0 2 0 1 0 -1 0 0 0 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 0 -1 0 0 0 0 0 1 0 -1 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365097159347 0.581111834191 5 11 7 3 3012 0213 3012 0132 1 2 0 2 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 -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 0.682755278253 0.771619880774 6 4 10 8 1230 0132 0213 0321 1 0 2 2 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 -1 0 0 0 0 0 6 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508451702223 0.758793684238 6 9 4 8 3120 0321 0132 0132 1 2 0 2 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 -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 0.682755278253 0.771619880774 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : negation(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_0011_10'], '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' : 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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_1001_7']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_1001_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_7']), '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' : 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_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_7, c_1001_2, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 232403565/1517289472*c_1001_7^6 - 1219476861/1517289472*c_1001_7^5 - 4092015449/1517289472*c_1001_7^4 + 1027367549/189661184*c_1001_7^3 - 5005363055/1517289472*c_1001_7^2 + 2591072427/758644736*c_1001_7 - 122415935/379322368, c_0011_0 - 1, c_0011_10 - 37/2894*c_1001_7^6 - 395/2894*c_1001_7^5 - 1463/2894*c_1001_7^4 - 318/1447*c_1001_7^3 + 12789/2894*c_1001_7^2 - 1890/1447*c_1001_7 + 4468/1447, c_0011_11 + 205/2894*c_1001_7^6 + 1835/5788*c_1001_7^5 + 1374/1447*c_1001_7^4 - 20289/5788*c_1001_7^3 + 19605/5788*c_1001_7^2 - 4829/2894*c_1001_7 + 978/1447, c_0011_3 - 1, c_0011_7 - 625/5788*c_1001_7^6 - 3309/5788*c_1001_7^5 - 11025/5788*c_1001_7^4 + 5566/1447*c_1001_7^3 - 8763/5788*c_1001_7^2 + 5579/2894*c_1001_7 + 662/1447, c_0101_0 + 1191/5788*c_1001_7^6 + 6301/5788*c_1001_7^5 + 21125/5788*c_1001_7^4 - 20933/2894*c_1001_7^3 + 21181/5788*c_1001_7^2 - 5678/1447*c_1001_7 - 773/1447, c_0101_10 + 707/5788*c_1001_7^6 + 919/1447*c_1001_7^5 + 12703/5788*c_1001_7^4 - 22849/5788*c_1001_7^3 + 13577/2894*c_1001_7^2 - 10307/2894*c_1001_7 + 1270/1447, c_0101_12 - 707/5788*c_1001_7^6 - 919/1447*c_1001_7^5 - 12703/5788*c_1001_7^4 + 22849/5788*c_1001_7^3 - 13577/2894*c_1001_7^2 + 10307/2894*c_1001_7 - 1270/1447, c_0101_3 - 73/2894*c_1001_7^6 - 331/1447*c_1001_7^5 - 1541/1447*c_1001_7^4 - 4579/2894*c_1001_7^3 - 579/2894*c_1001_7^2 - 3899/2894*c_1001_7 + 1854/1447, c_0101_7 + 1, c_1001_2 - 283/2894*c_1001_7^6 - 748/1447*c_1001_7^5 - 2525/1447*c_1001_7^4 + 9801/2894*c_1001_7^3 - 6209/2894*c_1001_7^2 + 5777/2894*c_1001_7 + 111/1447, c_1001_3 - 551/5788*c_1001_7^6 - 2519/5788*c_1001_7^5 - 8099/5788*c_1001_7^4 + 5884/1447*c_1001_7^3 - 34341/5788*c_1001_7^2 + 9359/2894*c_1001_7 - 3806/1447, c_1001_7^7 + 5*c_1001_7^6 + 17*c_1001_7^5 - 36*c_1001_7^4 + 43*c_1001_7^3 - 50*c_1001_7^2 + 20*c_1001_7 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB