Magma V2.19-8 Wed Aug 21 2013 00:54:44 on localhost [Seed = 1225741057] Type ? for help. Type -D to quit. Loading file "L12n618__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n618 geometric_solution 11.73797363 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 1 1 1 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 1 -1 1 0 0 -1 0 0 0 0 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623421422870 1.314121136055 0 4 5 5 0132 0132 2031 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 0 0 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 1.408852502309 0.931879063390 0 0 7 6 2031 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 -1 0 0 1 7 -6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705317325178 0.621166865954 5 8 0 9 1230 0132 0132 0132 0 1 1 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 0 0 0 0 0 -3 1 2 -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 0.445868691185 0.524734578841 10 1 11 8 0132 0132 0132 3012 1 0 1 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 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521883090246 0.787440356132 10 3 1 1 1302 3012 0132 1302 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 1 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 -0.097378774905 0.605277993253 12 7 2 9 0132 1023 0132 0213 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 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 -0.217584773921 1.622364829529 6 8 12 2 1023 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387447110013 0.693830678187 11 3 4 7 1302 0132 1230 0321 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850465460014 0.623101112816 10 12 3 6 3012 0213 0132 0213 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 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 0.644445173273 1.007022859688 4 5 11 9 0132 2031 2103 1230 1 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 0 0 0 0 0 0 0 0 1 -1 0 3 0 -2 -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 1.147355642405 0.618926345877 10 8 12 4 2103 2031 3012 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 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 -0.028909624312 0.981745189346 6 11 9 7 0132 1230 0213 0132 0 0 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 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 0 0 0 0 0.005826487656 0.873513355258 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0011_5'], 's_0_10' : 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' : d['c_0101_10'], '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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_1010_9'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1010_9'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_12'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_2'], '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_1010_9'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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_0011_9'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_9'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_9']})} 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_11, c_0011_12, c_0011_3, c_0011_5, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_12, c_1001_2, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 2013842145/330672848*c_1010_9^16 - 6409780087/330672848*c_1010_9^15 + 175749721/6420832*c_1010_9^14 + 7706231475/60122336*c_1010_9^13 - 1652209739/60122336*c_1010_9^12 - 198263335591/661345696*c_1010_9^1\ 1 + 42475549031/661345696*c_1010_9^10 + 3206432687/8937104*c_1010_9^9 - 13990439215/41334106*c_1010_9^8 - 250608110943/661345696*c_1010_9^7 + 301355752999/661345696*c_1010_9^6 + 1464482183/6420832*c_1010_9^5 - 155442144379/661345696*c_1010_9^4 + 27943725159/330672848*c_1010_9^3 + 18906724389/82668212*c_1010_9^2 + 39190161269/661345696*c_1010_9 - 12508390993/661345696, c_0011_0 - 1, c_0011_11 + c_1010_9^3 - 2*c_1010_9, c_0011_12 + 1/2*c_1010_9^16 + 1/2*c_1010_9^15 - 4*c_1010_9^14 - 3*c_1010_9^13 + 13*c_1010_9^12 + 7/2*c_1010_9^11 - 47/2*c_1010_9^10 + 19/2*c_1010_9^9 + 53/2*c_1010_9^8 - 25*c_1010_9^7 - 15*c_1010_9^6 + 39/2*c_1010_9^5 + 1/2*c_1010_9^4 - 19/2*c_1010_9^3 - 1/2*c_1010_9^2 + 11/2*c_1010_9 + 1/2, c_0011_3 - c_1010_9^2 + 1, c_0011_5 - c_1010_9^4 + 3*c_1010_9^2 - 1, c_0011_9 - c_1010_9^16 - 2*c_1010_9^15 + 7*c_1010_9^14 + 13*c_1010_9^13 - 21*c_1010_9^12 - 26*c_1010_9^11 + 45*c_1010_9^10 + 10*c_1010_9^9 - 74*c_1010_9^8 + 20*c_1010_9^7 + 58*c_1010_9^6 - 29*c_1010_9^5 - 10*c_1010_9^4 + 26*c_1010_9^3 + 11*c_1010_9^2 - 2*c_1010_9, c_0101_1 - c_1010_9, c_0101_10 + 1/2*c_1010_9^16 + 1/2*c_1010_9^15 - 4*c_1010_9^14 - 3*c_1010_9^13 + 13*c_1010_9^12 + 7/2*c_1010_9^11 - 47/2*c_1010_9^10 + 19/2*c_1010_9^9 + 51/2*c_1010_9^8 - 25*c_1010_9^7 - 10*c_1010_9^6 + 39/2*c_1010_9^5 - 13/2*c_1010_9^4 - 15/2*c_1010_9^3 + 3/2*c_1010_9^2 + 3/2*c_1010_9 - 3/2, c_0101_2 - 1/2*c_1010_9^15 + 4*c_1010_9^13 - c_1010_9^12 - 12*c_1010_9^11 + 17/2*c_1010_9^10 + 16*c_1010_9^9 - 49/2*c_1010_9^8 - 6*c_1010_9^7 + 28*c_1010_9^6 - 9*c_1010_9^5 - 23/2*c_1010_9^4 + 10*c_1010_9^3 + 7/2*c_1010_9^2 - c_1010_9 - 1/2, c_0101_6 - 1, c_1001_12 - 2*c_1010_9^16 - 7/2*c_1010_9^15 + 14*c_1010_9^14 + 22*c_1010_9^13 - 40*c_1010_9^12 - 40*c_1010_9^11 + 151/2*c_1010_9^10 + 4*c_1010_9^9 - 223/2*c_1010_9^8 + 45*c_1010_9^7 + 80*c_1010_9^6 - 46*c_1010_9^5 - 11/2*c_1010_9^4 + 40*c_1010_9^3 + 25/2*c_1010_9^2 - 4*c_1010_9 + 1/2, c_1001_2 - 1/2*c_1010_9^15 + 4*c_1010_9^13 - c_1010_9^12 - 12*c_1010_9^11 + 17/2*c_1010_9^10 + 16*c_1010_9^9 - 49/2*c_1010_9^8 - 6*c_1010_9^7 + 28*c_1010_9^6 - 9*c_1010_9^5 - 23/2*c_1010_9^4 + 10*c_1010_9^3 + 7/2*c_1010_9^2 - 2*c_1010_9 - 1/2, c_1010_9^17 + 3*c_1010_9^16 - 5*c_1010_9^15 - 20*c_1010_9^14 + 8*c_1010_9^13 + 47*c_1010_9^12 - 19*c_1010_9^11 - 54*c_1010_9^10 + 65*c_1010_9^9 + 49*c_1010_9^8 - 82*c_1010_9^7 - 21*c_1010_9^6 + 41*c_1010_9^5 - 22*c_1010_9^4 - 33*c_1010_9^3 - 4*c_1010_9^2 + 3*c_1010_9 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB