Magma V2.19-8 Tue Aug 20 2013 23:55:51 on localhost [Seed = 2968967297] Type ? for help. Type -D to quit. Loading file "L14n13321__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13321 geometric_solution 11.37352243 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 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 -0.176976167526 1.357998055292 0 5 6 6 0132 0132 2103 0132 0 1 0 0 0 -1 0 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 0 0 0 0 0 2 0 -2 1 0 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310999533167 0.655306090647 7 0 3 8 0132 0132 0213 0132 1 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 -1 1 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411763210001 0.789648662801 4 2 9 0 0132 0213 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020128581306 0.606505708091 3 10 0 9 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 -2 0 0 2 -1 0 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 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.093021595645 0.919072176495 7 1 7 8 1023 0132 0321 3120 0 0 0 0 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 -2 2 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 0.419864736082 1.174440790690 1 11 1 10 2103 0132 0132 3012 0 1 0 0 0 0 -1 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 2 -2 5 0 -4 -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 0.408911080015 1.245481513865 2 5 5 10 0132 1023 0321 1230 0 0 0 0 0 1 1 -2 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 -1 -2 3 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380510928330 0.822568788862 5 11 2 11 3120 1023 0132 1302 1 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 1 -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 0.206486589338 0.848312696242 11 10 4 3 3120 0321 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.339444468492 1.257582513779 7 4 6 9 3012 0132 1230 0321 1 0 0 0 0 0 0 0 2 0 0 -2 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 1 0 -3 0 0 3 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837579285869 1.299411462780 8 6 8 9 1023 0132 2031 3120 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 -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 0.206486589338 0.848312696242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0110_6'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_9']), '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_0101_11'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0110_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_3'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_3'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : negation(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_3'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0110_6']})} 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_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 94463617486693/2353451137*c_1100_0^10 - 190254654282180/2353451137*c_1100_0^9 + 184916269846812/2353451137*c_1100_0^8 + 470880943863851/2353451137*c_1100_0^7 - 89270818022614/2353451137*c_1100_0^6 - 279389148664157/2353451137*c_1100_0^5 - 850091148745683/2353451137*c_1100_0^4 - 2656889576304274/2353451137*c_1100_0^3 - 2410930767283173/2353451137*c_1100_0^2 - 650320963397192/2353451137*c_1100_0 - 93037214396442/2353451137, c_0011_0 - 1, c_0011_10 + 179586/542075*c_1100_0^10 - 96912/542075*c_1100_0^9 - 587553/542075*c_1100_0^8 + 394496/542075*c_1100_0^7 + 535713/542075*c_1100_0^6 - 473512/542075*c_1100_0^5 + 1717232/542075*c_1100_0^4 + 616408/542075*c_1100_0^3 - 1725727/542075*c_1100_0^2 - 754373/542075*c_1100_0 + 713498/542075, c_0011_11 + 430154/542075*c_1100_0^10 - 74293/542075*c_1100_0^9 - 1591942/542075*c_1100_0^8 + 500744/542075*c_1100_0^7 + 1763232/542075*c_1100_0^6 - 932143/542075*c_1100_0^5 + 3979198/542075*c_1100_0^4 + 3229587/542075*c_1100_0^3 - 4644303/542075*c_1100_0^2 - 3203597/542075*c_1100_0 - 180753/542075, c_0011_9 + 556619/542075*c_1100_0^10 - 125098/542075*c_1100_0^9 - 2073587/542075*c_1100_0^8 + 829984/542075*c_1100_0^7 + 2299052/542075*c_1100_0^6 - 1537598/542075*c_1100_0^5 + 5239478/542075*c_1100_0^4 + 3880957/542075*c_1100_0^3 - 6406358/542075*c_1100_0^2 - 3012542/542075*c_1100_0 + 112442/542075, c_0101_0 - 1, c_0101_10 - 126986/542075*c_1100_0^10 - 1888/542075*c_1100_0^9 + 480153/542075*c_1100_0^8 - 45296/542075*c_1100_0^7 - 551238/542075*c_1100_0^6 + 97812/542075*c_1100_0^5 - 1124082/542075*c_1100_0^4 - 957408/542075*c_1100_0^3 + 1236502/542075*c_1100_0^2 + 1255873/542075*c_1100_0 + 322302/542075, c_0101_11 - 5334/108415*c_1100_0^10 - 10922/108415*c_1100_0^9 + 35707/108415*c_1100_0^8 + 17271/108415*c_1100_0^7 - 75862/108415*c_1100_0^6 + 38923/108415*c_1100_0^5 - 11878/108415*c_1100_0^4 - 217042/108415*c_1100_0^3 + 150008/108415*c_1100_0^2 + 139757/108415*c_1100_0 - 64227/108415, c_0101_3 + 5588/108415*c_1100_0^10 - 14371/108415*c_1100_0^9 - 1269/108415*c_1100_0^8 + 43858/108415*c_1100_0^7 - 49591/108415*c_1100_0^6 - 20126/108415*c_1100_0^5 + 115696/108415*c_1100_0^4 - 134006/108415*c_1100_0^3 + 70004/108415*c_1100_0^2 + 96231/108415*c_1100_0 - 103081/108415, c_0101_5 - 151646/542075*c_1100_0^10 + 25057/542075*c_1100_0^9 + 581208/542075*c_1100_0^8 - 175206/542075*c_1100_0^7 - 783668/542075*c_1100_0^6 + 372882/542075*c_1100_0^5 - 1138752/542075*c_1100_0^4 - 1286438/542075*c_1100_0^3 + 1533672/542075*c_1100_0^2 + 1235528/542075*c_1100_0 - 144753/542075, c_0110_6 - 25293/108415*c_1100_0^10 + 10161/108415*c_1100_0^9 + 96329/108415*c_1100_0^8 - 65848/108415*c_1100_0^7 - 107164/108415*c_1100_0^6 + 121091/108415*c_1100_0^5 - 252056/108415*c_1100_0^4 - 130274/108415*c_1100_0^3 + 352411/108415*c_1100_0^2 - 38211/108415*c_1100_0 - 58639/108415, c_1001_2 - 5334/108415*c_1100_0^10 - 10922/108415*c_1100_0^9 + 35707/108415*c_1100_0^8 + 17271/108415*c_1100_0^7 - 75862/108415*c_1100_0^6 + 38923/108415*c_1100_0^5 - 11878/108415*c_1100_0^4 - 217042/108415*c_1100_0^3 + 150008/108415*c_1100_0^2 + 31342/108415*c_1100_0 - 64227/108415, c_1100_0^11 + c_1100_0^10 - 4*c_1100_0^9 - 3*c_1100_0^8 + 6*c_1100_0^7 + 2*c_1100_0^6 + 6*c_1100_0^5 + 19*c_1100_0^4 - 3*c_1100_0^3 - 19*c_1100_0^2 - 6*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB