Magma V2.19-8 Wed Aug 21 2013 01:03:12 on localhost [Seed = 3970626797] Type ? for help. Type -D to quit. Loading file "L14n18034__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18034 geometric_solution 11.99303463 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 1 1 1 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 -1 1 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570809439864 0.890834522764 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 1 -1 0 0 0 0 13 0 0 -13 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804217702961 0.858623077096 0 0 8 7 3201 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1 1 0 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 0.438939097315 0.911068736356 9 10 7 0 0132 0132 2103 0132 1 1 1 1 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 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623056911825 0.522720855456 7 1 6 8 3012 0132 0213 3012 0 1 1 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 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 0 0 0 0 0.456121931942 0.382065724073 11 6 1 11 0132 0213 0132 0321 0 1 1 1 0 0 0 0 -1 0 0 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 1 -1 12 0 0 -12 0 -13 0 13 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560278686335 0.505676392177 12 4 5 1 0132 0213 0213 0132 0 1 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 1 0 -1 -13 0 13 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 0.560278686335 0.505676392177 3 10 2 4 2103 2031 0132 1230 1 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 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 0.058025323359 0.790280629982 12 9 4 2 2310 2310 1230 0132 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 0 0 0 0 0 0 0 0 0 1 -1 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 -0.288402022411 1.079216361059 3 12 11 8 0132 0132 0132 3201 0 1 1 1 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 1 -1 0 0 1 -1 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252438512138 1.107094642096 7 3 10 10 1302 0132 1230 3012 1 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 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 1.058025323359 0.790280629982 5 5 12 9 0132 0321 0132 0132 0 1 1 1 0 0 0 0 1 0 -1 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 0 -1 -12 0 13 -1 13 -13 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016400618277 0.887742116250 6 9 8 11 0132 0132 3201 0132 0 1 1 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 13 0 0 -13 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016400618277 0.887742116250 ==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' : negation(d['c_0110_10']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_4'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0110_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_0011_8']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(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' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], '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_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_0'], '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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_10, c_0110_4, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 31816/974025*c_1001_4^8 + 4037/12025*c_1001_4^7 + 1236/2405*c_1001_4^6 - 186209/324675*c_1001_4^5 + 21686/38961*c_1001_4^4 + 2608678/974025*c_1001_4^3 + 54898/324675*c_1001_4^2 + 2852186/974025*c_1001_4 + 432943/974025, c_0011_0 - 1, c_0011_10 - 46/481*c_1001_4^8 + 137/481*c_1001_4^7 + 395/481*c_1001_4^6 - 400/481*c_1001_4^5 + 151/481*c_1001_4^4 + 752/481*c_1001_4^3 + 987/481*c_1001_4^2 + 1304/481*c_1001_4 + 439/481, c_0011_11 + 161/481*c_1001_4^8 + 242/481*c_1001_4^7 - 180/481*c_1001_4^6 + 438/481*c_1001_4^5 + 674/481*c_1001_4^4 + 1216/481*c_1001_4^3 + 1596/481*c_1001_4^2 + 727/481*c_1001_4 + 628/481, c_0011_7 + 17/481*c_1001_4^8 - 82/481*c_1001_4^7 - 261/481*c_1001_4^6 + 106/481*c_1001_4^5 - 129/481*c_1001_4^4 - 738/481*c_1001_4^3 - 668/481*c_1001_4^2 - 1423/481*c_1001_4 - 821/481, c_0011_8 + c_1001_4, c_0101_0 - 184/481*c_1001_4^8 - 414/481*c_1001_4^7 + 137/481*c_1001_4^6 - 157/481*c_1001_4^5 - 1320/481*c_1001_4^4 - 1321/481*c_1001_4^3 - 1824/481*c_1001_4^2 - 1037/481*c_1001_4 - 168/481, c_0101_1 + 46/481*c_1001_4^8 - 137/481*c_1001_4^7 - 395/481*c_1001_4^6 + 400/481*c_1001_4^5 - 151/481*c_1001_4^4 - 752/481*c_1001_4^3 - 987/481*c_1001_4^2 - 1304/481*c_1001_4 - 439/481, c_0101_3 + 1, c_0101_8 + 1, c_0110_10 + 68/481*c_1001_4^8 + 153/481*c_1001_4^7 - 82/481*c_1001_4^6 - 57/481*c_1001_4^5 + 446/481*c_1001_4^4 + 415/481*c_1001_4^3 + 214/481*c_1001_4^2 + 80/481*c_1001_4 - 398/481, c_0110_4 + 184/481*c_1001_4^8 + 414/481*c_1001_4^7 - 137/481*c_1001_4^6 + 157/481*c_1001_4^5 + 1320/481*c_1001_4^4 + 1321/481*c_1001_4^3 + 1824/481*c_1001_4^2 + 1037/481*c_1001_4 + 168/481, c_1001_11 - 45/481*c_1001_4^8 + 19/481*c_1001_4^7 + 125/481*c_1001_4^6 - 224/481*c_1001_4^5 + 200/481*c_1001_4^4 - 310/481*c_1001_4^3 + 14/481*c_1001_4^2 + 230/481*c_1001_4 - 62/481, c_1001_4^9 + 2*c_1001_4^8 + 3*c_1001_4^6 + 5*c_1001_4^5 + 8*c_1001_4^4 + 14*c_1001_4^3 + 11*c_1001_4^2 + 8*c_1001_4 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB