Magma V2.19-8 Tue Aug 20 2013 23:52:30 on localhost [Seed = 4206662109] Type ? for help. Type -D to quit. Loading file "L13n2763__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2763 geometric_solution 11.25075650 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 1 -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 1 8 -9 0 0 -1 1 -1 0 0 1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068465773174 1.055927691957 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 1 -1 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 9 -9 0 0 0 0 0 0 -8 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128301199543 0.991735248035 5 0 9 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 -1 1 0 1 0 -1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228009543211 0.863524344433 7 6 5 0 0132 0132 0132 0132 1 0 1 1 0 1 0 -1 -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 8 0 -8 0 0 -1 1 -1 -8 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128301199543 0.991735248035 9 8 0 5 0132 0132 0132 0132 1 0 1 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 9 -9 1 0 -1 0 -8 0 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228009543211 0.863524344433 2 1 4 3 0132 0132 0132 0132 1 0 1 1 0 -1 1 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 -9 9 0 -1 0 0 1 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068465773174 1.055927691957 10 3 1 11 0132 0132 0132 0132 1 0 1 1 0 -1 0 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 -8 0 8 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061148124921 0.943069732837 3 10 11 1 0132 0132 0132 0132 1 0 1 1 0 -1 0 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 -9 0 9 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 -0.061148124921 0.943069732837 10 4 2 11 3120 0132 0132 3120 1 0 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 1 -1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.001829735270 4 11 10 2 0132 3120 3120 0132 1 0 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 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.001829735270 6 7 9 8 0132 0132 3120 3120 1 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 0 0 0 0 0 0 0 0 9 0 -9 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 0.285847086580 1.082568363460 8 9 6 7 3120 3120 0132 0132 1 0 1 1 0 1 -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 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285847086580 1.082568363460 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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_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' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_11']), '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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 152087/6025*c_1100_1^13 - 942352/6025*c_1100_1^12 - 3233374/6025*c_1100_1^11 - 1676588/1205*c_1100_1^10 - 3706676/1205*c_1100_1^9 - 30650933/6025*c_1100_1^8 - 48724854/6025*c_1100_1^7 - 11184069/1205*c_1100_1^6 - 65110939/6025*c_1100_1^5 - 50525922/6025*c_1100_1^4 - 41189629/6025*c_1100_1^3 - 3627792/1205*c_1100_1^2 - 8956784/6025*c_1100_1 - 771776/6025, c_0011_0 - 1, c_0011_10 + 4891/7230*c_1100_1^13 + 14026/3615*c_1100_1^12 + 27759/2410*c_1100_1^11 + 30353/1205*c_1100_1^10 + 35158/723*c_1100_1^9 + 148797/2410*c_1100_1^8 + 121919/1446*c_1100_1^7 + 442649/7230*c_1100_1^6 + 216658/3615*c_1100_1^5 + 53021/3615*c_1100_1^4 + 7358/723*c_1100_1^3 - 25403/3615*c_1100_1^2 - 6382/3615*c_1100_1 - 1541/7230, c_0011_11 - 4069/7230*c_1100_1^13 - 13399/3615*c_1100_1^12 - 31221/2410*c_1100_1^11 - 39967/1205*c_1100_1^10 - 51490/723*c_1100_1^9 - 275763/2410*c_1100_1^8 - 243329/1446*c_1100_1^7 - 1338551/7230*c_1100_1^6 - 671182/3615*c_1100_1^5 - 490679/3615*c_1100_1^4 - 59429/723*c_1100_1^3 - 127918/3615*c_1100_1^2 - 26162/3615*c_1100_1 - 10801/7230, c_0011_4 - 601/7230*c_1100_1^13 - 8657/7230*c_1100_1^12 - 6347/1205*c_1100_1^11 - 16373/1205*c_1100_1^10 - 20119/723*c_1100_1^9 - 122117/2410*c_1100_1^8 - 45691/723*c_1100_1^7 - 630359/7230*c_1100_1^6 - 517091/7230*c_1100_1^5 - 557287/7230*c_1100_1^4 - 60601/1446*c_1100_1^3 - 216989/7230*c_1100_1^2 - 63931/7230*c_1100_1 - 3347/3615, c_0101_0 - 1, c_0101_1 + 4711/7230*c_1100_1^13 + 12886/3615*c_1100_1^12 + 25509/2410*c_1100_1^11 + 29758/1205*c_1100_1^10 + 37510/723*c_1100_1^9 + 176547/2410*c_1100_1^8 + 166121/1446*c_1100_1^7 + 778049/7230*c_1100_1^6 + 456778/3615*c_1100_1^5 + 264776/3615*c_1100_1^4 + 44324/723*c_1100_1^3 + 63082/3615*c_1100_1^2 + 37343/3615*c_1100_1 + 6439/7230, c_0101_10 - 1106/3615*c_1100_1^13 - 16049/7230*c_1100_1^12 - 18733/2410*c_1100_1^11 - 23566/1205*c_1100_1^10 - 30736/723*c_1100_1^9 - 86237/1205*c_1100_1^8 - 145697/1446*c_1100_1^7 - 452944/3615*c_1100_1^6 - 808547/7230*c_1100_1^5 - 732889/7230*c_1100_1^4 - 62479/1446*c_1100_1^3 - 193703/7230*c_1100_1^2 + 21413/7230*c_1100_1 - 343/7230, c_0101_5 - 1783/7230*c_1100_1^13 - 1813/3615*c_1100_1^12 + 1933/2410*c_1100_1^11 + 6511/1205*c_1100_1^10 + 11039/723*c_1100_1^9 + 108549/2410*c_1100_1^8 + 87343/1446*c_1100_1^7 + 842353/7230*c_1100_1^6 + 359906/3615*c_1100_1^5 + 475882/3615*c_1100_1^4 + 49069/723*c_1100_1^3 + 198299/3615*c_1100_1^2 + 42841/3615*c_1100_1 + 17993/7230, c_1001_0 + 766/1205*c_1100_1^13 + 4722/1205*c_1100_1^12 + 14747/1205*c_1100_1^11 + 33428/1205*c_1100_1^10 + 13272/241*c_1100_1^9 + 93021/1205*c_1100_1^8 + 24956/241*c_1100_1^7 + 115649/1205*c_1100_1^6 + 100971/1205*c_1100_1^5 + 56402/1205*c_1100_1^4 + 4157/241*c_1100_1^3 + 2349/1205*c_1100_1^2 - 5989/1205*c_1100_1 - 621/1205, c_1001_1 + 1541/7230*c_1100_1^13 + 14137/7230*c_1100_1^12 + 9812/1205*c_1100_1^11 + 26978/1205*c_1100_1^10 + 35471/723*c_1100_1^9 + 210167/2410*c_1100_1^8 + 89174/723*c_1100_1^7 + 1108879/7230*c_1100_1^6 + 1031311/7230*c_1100_1^5 + 881747/7230*c_1100_1^4 + 96101/1446*c_1100_1^3 + 241549/7230*c_1100_1^2 + 37031/7230*c_1100_1 - 218/3615, c_1100_0 + 1264/3615*c_1100_1^13 + 12661/7230*c_1100_1^12 + 11597/2410*c_1100_1^11 + 12989/1205*c_1100_1^10 + 16019/723*c_1100_1^9 + 32798/1205*c_1100_1^8 + 64981/1446*c_1100_1^7 + 114836/3615*c_1100_1^6 + 311053/7230*c_1100_1^5 + 99611/7230*c_1100_1^4 + 22757/1446*c_1100_1^3 + 14287/7230*c_1100_1^2 + 8063/7230*c_1100_1 + 11237/7230, c_1100_1^14 + 6*c_1100_1^13 + 20*c_1100_1^12 + 51*c_1100_1^11 + 112*c_1100_1^10 + 181*c_1100_1^9 + 289*c_1100_1^8 + 324*c_1100_1^7 + 382*c_1100_1^6 + 291*c_1100_1^5 + 243*c_1100_1^4 + 109*c_1100_1^3 + 57*c_1100_1^2 + 8*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB