Magma V2.19-8 Tue Aug 20 2013 23:41:10 on localhost [Seed = 2901067818] Type ? for help. Type -D to quit. Loading file "L12a939__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a939 geometric_solution 9.57888282 oriented_manifold CS_known -0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 0 0 1 0 0 0 0 0 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 1 -1 -2 0 2 0 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387601059215 1.207478506558 0 0 5 4 0132 1302 0132 0132 0 0 0 1 0 0 0 0 -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 0 0 0 2 0 -2 0 -1 1 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758990375613 0.750807910354 4 0 6 3 0132 0132 0132 3120 0 0 0 1 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 0 0 0 0 2 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384044684167 0.987913118171 2 7 8 0 3120 0132 0132 0132 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 1 0 -1 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535417544089 0.398303571934 2 6 1 9 0132 3120 0132 0132 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 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 0.884375257113 0.537187298129 7 9 10 1 2310 2031 0132 0132 0 0 1 0 0 0 0 0 1 0 0 -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 -2 0 0 2 1 0 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.140188341639 0.512902329560 7 4 8 2 3012 3120 0321 0132 0 0 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 0 0 2 0 0 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075430019545 0.542802546007 9 3 5 6 1302 0132 3201 1230 0 1 0 0 0 0 -1 1 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 3 -2 0 0 -1 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780466329232 0.878203994957 8 8 6 3 1302 2031 0321 0132 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 0 0 0 0.482951070538 0.635536815879 5 7 4 10 1302 2031 0132 2310 0 0 0 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 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419656813604 0.235713292828 9 10 10 5 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 -1 0 1 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 3 -3 0 3 0 -3 0 0 3 0 -3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014261545706 1.749220783575 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : negation(d['c_1001_4']), '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_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_10' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0011_8']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 835893921/426793675*c_1001_4^14 + 759630371/34143494*c_1001_4^13 - 36809088556/426793675*c_1001_4^12 + 36723633813/426793675*c_1001_4^11 + 45599686743/170717470*c_1001_4^10 - 577374080431/853587350*c_1001_4^9 - 701192396/17071747*c_1001_4^8 + 619966196614/426793675*c_1001_4^7 - 72343959441/85358735*c_1001_4^6 - 612710144383/426793675*c_1001_4^5 + 620985004916/426793675*c_1001_4^4 + 39046966011/60970525*c_1001_4^3 - 438847433362/426793675*c_1001_4^2 - 29133905453/426793675*c_1001_4 + 128970078812/426793675, c_0011_0 - 1, c_0011_10 + c_1001_4^14 - 10*c_1001_4^13 + 37*c_1001_4^12 - 48*c_1001_4^11 - 54*c_1001_4^10 + 228*c_1001_4^9 - 155*c_1001_4^8 - 250*c_1001_4^7 + 430*c_1001_4^6 - 42*c_1001_4^5 - 342*c_1001_4^4 + 222*c_1001_4^3 + 56*c_1001_4^2 - 102*c_1001_4 + 29, c_0011_3 + c_1001_4^12 - 8*c_1001_4^11 + 21*c_1001_4^10 - 6*c_1001_4^9 - 65*c_1001_4^8 + 90*c_1001_4^7 + 46*c_1001_4^6 - 166*c_1001_4^5 + 44*c_1001_4^4 + 122*c_1001_4^3 - 75*c_1001_4^2 - 32*c_1001_4 + 29, c_0011_5 - c_1001_4^12 + 8*c_1001_4^11 - 20*c_1001_4^10 - c_1001_4^9 + 80*c_1001_4^8 - 89*c_1001_4^7 - 89*c_1001_4^6 + 205*c_1001_4^5 - 13*c_1001_4^4 - 181*c_1001_4^3 + 83*c_1001_4^2 + 58*c_1001_4 - 41, c_0011_6 - c_1001_4^14 + 9*c_1001_4^13 - 29*c_1001_4^12 + 28*c_1001_4^11 + 53*c_1001_4^10 - 148*c_1001_4^9 + 66*c_1001_4^8 + 161*c_1001_4^7 - 225*c_1001_4^6 + 29*c_1001_4^5 + 161*c_1001_4^4 - 139*c_1001_4^3 + 2*c_1001_4^2 + 61*c_1001_4 - 29, c_0011_8 + c_1001_4^9 - 6*c_1001_4^8 + 10*c_1001_4^7 + 6*c_1001_4^6 - 31*c_1001_4^5 + 14*c_1001_4^4 + 30*c_1001_4^3 - 26*c_1001_4^2 - 9*c_1001_4 + 12, c_0011_9 - c_1001_4^13 + 9*c_1001_4^12 - 28*c_1001_4^11 + 20*c_1001_4^10 + 74*c_1001_4^9 - 154*c_1001_4^8 + c_1001_4^7 + 251*c_1001_4^6 - 179*c_1001_4^5 - 137*c_1001_4^4 + 205*c_1001_4^3 - 17*c_1001_4^2 - 73*c_1001_4 + 29, c_0101_0 - 1, c_0101_10 - c_1001_4^13 + 10*c_1001_4^12 - 36*c_1001_4^11 + 40*c_1001_4^10 + 75*c_1001_4^9 - 234*c_1001_4^8 + 90*c_1001_4^7 + 340*c_1001_4^6 - 384*c_1001_4^5 - 124*c_1001_4^4 + 386*c_1001_4^3 - 100*c_1001_4^2 - 131*c_1001_4 + 70, c_0101_3 - c_1001_4^3 + 2*c_1001_4^2 - 2, c_1001_4^15 - 10*c_1001_4^14 + 36*c_1001_4^13 - 38*c_1001_4^12 - 90*c_1001_4^11 + 268*c_1001_4^10 - 80*c_1001_4^9 - 484*c_1001_4^8 + 520*c_1001_4^7 + 298*c_1001_4^6 - 726*c_1001_4^5 + 98*c_1001_4^4 + 442*c_1001_4^3 - 202*c_1001_4^2 - 102*c_1001_4 + 70 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB