Magma V2.19-8 Wed Aug 21 2013 01:01:53 on localhost [Seed = 3920622148] Type ? for help. Type -D to quit. Loading file "L14n13425__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13425 geometric_solution 11.98655913 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 1230 1 1 1 1 0 1 0 -1 1 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 12 -1 -11 11 0 -11 0 -1 1 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620752919517 0.902339877112 0 4 6 5 0132 0132 0132 0132 0 1 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 1 -2 1 -11 0 11 0 11 0 0 -11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356424393357 0.511261711987 0 0 8 7 3012 0132 0132 0132 1 1 1 1 0 -1 0 1 1 0 -1 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 -12 1 11 11 0 -11 0 0 -11 0 11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395854936068 0.941854829604 9 5 10 0 0132 2310 0132 0132 1 1 1 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 0 -1 1 0 0 -11 11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739003030919 1.407421705592 6 1 11 9 0321 0132 0132 0213 0 0 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 1 0 0 0 0 0 0 1 0 -1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541195002320 0.658118335764 12 7 1 3 0132 2310 0132 3201 0 1 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 1 -1 0 1 0 0 -1 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.136549000518 0.891401543290 4 10 9 1 0321 3012 2310 0132 0 1 1 0 0 1 0 -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 0 0 0 0 -2 0 2 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287151213286 1.022523423974 10 12 2 5 2031 3201 0132 3201 1 1 0 1 0 0 -1 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 1 0 0 -1 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415105391543 1.113924210031 11 11 12 2 1230 2031 2310 0132 1 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 0 0 0 0 1 -1 -11 0 0 11 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214889446956 0.743942068142 3 6 12 4 0132 3201 0132 0213 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 0 0 0 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 0.828293148726 0.651563021483 6 11 7 3 1230 3201 1302 0132 1 1 0 0 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 -1 0 1 0 0 -11 11 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.373304821047 0.544040414498 8 8 10 4 1302 3012 2310 0132 0 0 1 1 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 1 0 0 11 0 -11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214889446956 0.743942068142 5 8 7 9 0132 3201 2310 0132 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 0 0 0 0 0 0 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 0.747820778445 0.911611748533 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : negation(d['c_0101_4']), 'c_1010_12' : d['c_0101_4'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['c_0011_8']), 'c_0101_10' : negation(d['c_0011_7']), '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_12' : 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_0011_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_12'], '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'], 'c_1100_12' : d['c_0011_7'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_12, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_12, c_0101_4, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12509945/19683*c_0101_8^5 + 134570245/39366*c_0101_8^4 + 149855/6561*c_0101_8^3 + 37586518/6561*c_0101_8^2 - 44887028/19683*c_0101_8 + 33048382/19683, c_0011_0 - 1, c_0011_10 - 4/3*c_0101_8^5 - 7*c_0101_8^4 + c_0101_8^3 - 11*c_0101_8^2 + 25/3*c_0101_8 - 2, c_0011_11 - 1/9*c_0101_8^4 - 5/9*c_0101_8^3 + 1/9*c_0101_8^2 - 14/9*c_0101_8 - 1/9, c_0011_12 - 1/9*c_0101_8^5 - 8/9*c_0101_8^4 - 17/9*c_0101_8^3 - 23/9*c_0101_8^2 - 10/9*c_0101_8 + 1/3, c_0011_3 - 1/3*c_0101_8^5 - 2*c_0101_8^4 - c_0101_8^3 - 2*c_0101_8^2 + 1/3*c_0101_8 + 1, c_0011_6 + 16/9*c_0101_8^5 + 82/9*c_0101_8^4 - 8/3*c_0101_8^3 + 44/3*c_0101_8^2 - 82/9*c_0101_8 + 20/9, c_0011_7 - 1, c_0011_8 - 1/3*c_0101_8^4 - 2*c_0101_8^3 - c_0101_8^2 - 2*c_0101_8 + 1/3, c_0101_0 + 1/3*c_0101_8^5 + 2*c_0101_8^4 + c_0101_8^3 + 2*c_0101_8^2 - 4/3*c_0101_8 - 1, c_0101_12 - 1/9*c_0101_8^5 - 5/9*c_0101_8^4 + 1/9*c_0101_8^3 - 14/9*c_0101_8^2 + 8/9*c_0101_8 - 1, c_0101_4 - 10/9*c_0101_8^5 - 55/9*c_0101_8^4 - 1/3*c_0101_8^3 - 23/3*c_0101_8^2 + 31/9*c_0101_8 - 2/9, c_0101_7 + 4/9*c_0101_8^5 + 20/9*c_0101_8^4 - 10/9*c_0101_8^3 + 23/9*c_0101_8^2 - 38/9*c_0101_8 + 4/3, c_0101_8^6 + 5*c_0101_8^5 - 2*c_0101_8^4 + 9*c_0101_8^3 - 7*c_0101_8^2 + 4*c_0101_8 - 1 ], 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_12, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_12, c_0101_4, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 8914181/247*c_0101_8^6 + 7217711/247*c_0101_8^5 - 32340281/988*c_0101_8^4 + 8356513/988*c_0101_8^3 + 52952609/3952*c_0101_8^2 + 1212856/247*c_0101_8 + 10982223/3952, c_0011_0 - 1, c_0011_10 - 316/13*c_0101_8^6 + 148/13*c_0101_8^5 - 147/13*c_0101_8^4 - 101/13*c_0101_8^3 + 891/52*c_0101_8^2 + 41/13*c_0101_8 + 149/52, c_0011_11 + 1, c_0011_12 - 88/13*c_0101_8^6 + 32/13*c_0101_8^5 - 62/13*c_0101_8^4 - 12/13*c_0101_8^3 + 103/26*c_0101_8^2 - 3/26*c_0101_8 + 20/13, c_0011_3 + 88/13*c_0101_8^6 - 32/13*c_0101_8^5 + 62/13*c_0101_8^4 + 12/13*c_0101_8^3 - 103/26*c_0101_8^2 - 23/26*c_0101_8 - 20/13, c_0011_6 - 296/13*c_0101_8^6 + 136/13*c_0101_8^5 - 114/13*c_0101_8^4 - 90/13*c_0101_8^3 + 441/26*c_0101_8^2 + 31/13*c_0101_8 + 53/26, c_0011_7 - 1, c_0011_8 - 32/13*c_0101_8^6 + 40/13*c_0101_8^5 - 32/13*c_0101_8^4 - 2/13*c_0101_8^3 + 40/13*c_0101_8^2 - 33/26*c_0101_8 + 11/26, c_0101_0 - 88/13*c_0101_8^6 + 32/13*c_0101_8^5 - 62/13*c_0101_8^4 - 12/13*c_0101_8^3 + 103/26*c_0101_8^2 - 3/26*c_0101_8 + 20/13, c_0101_12 + 16*c_0101_8^6 + 4*c_0101_8^4 + 8*c_0101_8^3 - 9*c_0101_8^2 - 7*c_0101_8 - 2, c_0101_4 - 180/13*c_0101_8^6 + 108/13*c_0101_8^5 - 89/13*c_0101_8^4 - 47/13*c_0101_8^3 + 497/52*c_0101_8^2 + 12/13*c_0101_8 + 75/52, c_0101_7 - 120/13*c_0101_8^6 - 32/13*c_0101_8^5 + 10/13*c_0101_8^4 - 92/13*c_0101_8^3 + 131/26*c_0101_8^2 + 185/26*c_0101_8 + 6/13, c_0101_8^7 + 1/4*c_0101_8^5 + 1/2*c_0101_8^4 - 9/16*c_0101_8^3 - 7/16*c_0101_8^2 - 3/16*c_0101_8 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB