Magma V2.19-8 Tue Aug 20 2013 23:41:11 on localhost [Seed = 1679950050] Type ? for help. Type -D to quit. Loading file "L12a941__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a941 geometric_solution 9.22288782 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 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 -1 0 1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555136068426 0.645860637711 0 5 7 6 0132 0132 0132 0132 0 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 0 0 0 0 0 2 -2 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 -0.295554979361 0.395930962962 5 0 8 3 0132 0132 0132 3120 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 1 0 -1 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 -0.449165011155 1.210313842589 2 9 8 0 3120 0132 0213 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730707278494 0.267373691833 7 6 0 10 2310 2310 0132 0132 0 0 0 0 0 1 0 -1 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 -2 -1 3 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.057303480188 1.470028075679 2 1 6 9 0132 0132 2103 1023 0 0 0 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 -2 2 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 0.520410076401 1.765784361666 5 10 1 4 2103 1302 0132 3201 0 0 0 1 0 1 0 -1 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 -3 0 3 0 0 0 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098848682125 1.022509712611 7 7 4 1 1230 3012 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085488460892 1.084699037735 8 3 8 2 2310 0213 3201 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 -0.116628153670 0.529480080922 10 3 10 5 0132 0132 3012 1023 0 0 0 1 0 0 0 0 -1 0 1 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 3 0 -3 0 0 1 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218626708177 0.744676595710 9 9 4 6 0132 1230 0132 2031 0 0 1 0 0 -1 1 0 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 0 0 0 0 3 -3 0 -3 0 0 3 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670656343918 0.639159398339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_2'], 'c_1010_10' : d['c_0011_6'], '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_0110_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0011_8']), 'c_1100_10' : d['c_1001_2'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_8']), '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_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_2']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_7'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 18731344478/177021*c_1001_2^12 + 28325357873/177021*c_1001_2^11 + 28874507618/59007*c_1001_2^10 + 121416611495/177021*c_1001_2^9 + 76726137361/59007*c_1001_2^8 + 387612243901/177021*c_1001_2^7 + 147006473762/59007*c_1001_2^6 + 438128205542/177021*c_1001_2^5 + 90144312521/59007*c_1001_2^4 + 186196551349/177021*c_1001_2^3 + 3201870619/10413*c_1001_2^2 + 8749586396/59007*c_1001_2 + 1284860414/177021, c_0011_0 - 1, c_0011_10 - 53/7*c_1001_2^12 - 141/14*c_1001_2^11 - 463/14*c_1001_2^10 - 306/7*c_1001_2^9 - 603/7*c_1001_2^8 - 2017/14*c_1001_2^7 - 1097/7*c_1001_2^6 - 2189/14*c_1001_2^5 - 1347/14*c_1001_2^4 - 530/7*c_1001_2^3 - 339/14*c_1001_2^2 - 14*c_1001_2 - 29/14, c_0011_4 + 16*c_1001_2^12 + 20*c_1001_2^11 + 70*c_1001_2^10 + 88*c_1001_2^9 + 179*c_1001_2^8 + 294*c_1001_2^7 + 314*c_1001_2^6 + 320*c_1001_2^5 + 178*c_1001_2^4 + 136*c_1001_2^3 + 24*c_1001_2^2 + 20*c_1001_2 - 2, c_0011_6 - 29/7*c_1001_2^12 - 107/14*c_1001_2^11 - 141/7*c_1001_2^10 - 447/14*c_1001_2^9 - 781/14*c_1001_2^8 - 1367/14*c_1001_2^7 - 815/7*c_1001_2^6 - 789/7*c_1001_2^5 - 1077/14*c_1001_2^4 - 699/14*c_1001_2^3 - 307/14*c_1001_2^2 - 7*c_1001_2 - 15/7, c_0011_7 - 1, c_0011_8 + 16*c_1001_2^11 + 24*c_1001_2^10 + 72*c_1001_2^9 + 100*c_1001_2^8 + 188*c_1001_2^7 + 318*c_1001_2^6 + 354*c_1001_2^5 + 337*c_1001_2^4 + 190*c_1001_2^3 + 126*c_1001_2^2 + 30*c_1001_2 + 15, c_0101_0 - 29/7*c_1001_2^12 + 19/14*c_1001_2^11 - 149/14*c_1001_2^10 + 57/14*c_1001_2^9 - 100/7*c_1001_2^8 - 64/7*c_1001_2^7 + 393/14*c_1001_2^6 + 198/7*c_1001_2^5 + 855/14*c_1001_2^4 + 137/7*c_1001_2^3 + 298/7*c_1001_2^2 + 7/2*c_1001_2 + 62/7, c_0101_10 + 4*c_1001_2^12 + 4*c_1001_2^11 + 17*c_1001_2^10 + 18*c_1001_2^9 + 42*c_1001_2^8 + 64*c_1001_2^7 + 66*c_1001_2^6 + 68*c_1001_2^5 + 30*c_1001_2^4 + 28*c_1001_2^3 - 5*c_1001_2^2 + 4*c_1001_2 - 4, c_0101_2 + 42*c_1001_2^12 + 63*c_1001_2^11 + 194*c_1001_2^10 + 270*c_1001_2^9 + 514*c_1001_2^8 + 863*c_1001_2^7 + 980*c_1001_2^6 + 973*c_1001_2^5 + 592*c_1001_2^4 + 405*c_1001_2^3 + 108*c_1001_2^2 + 55*c_1001_2, c_0110_6 + 6*c_1001_2^12 + 13*c_1001_2^11 + 34*c_1001_2^10 + 59*c_1001_2^9 + 102*c_1001_2^8 + 180*c_1001_2^7 + 232*c_1001_2^6 + 252*c_1001_2^5 + 206*c_1001_2^4 + 141*c_1001_2^3 + 76*c_1001_2^2 + 26*c_1001_2 + 10, c_1001_2^13 + 3/2*c_1001_2^12 + 5*c_1001_2^11 + 7*c_1001_2^10 + 14*c_1001_2^9 + 23*c_1001_2^8 + 28*c_1001_2^7 + 31*c_1001_2^6 + 23*c_1001_2^5 + 37/2*c_1001_2^4 + 8*c_1001_2^3 + 5*c_1001_2^2 + c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB