Magma V2.19-8 Tue Aug 20 2013 23:42:04 on localhost [Seed = 4223508145] Type ? for help. Type -D to quit. Loading file "L12n739__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n739 geometric_solution 10.77333069 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3201 0132 0132 1 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 1 0 -1 1 0 0 -1 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006198851906 0.972371302482 0 4 0 4 0132 0132 2310 2310 1 1 1 1 0 0 0 0 0 0 1 -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 -1 0 5 -4 -5 0 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006555855088 1.028371938449 5 5 6 0 0132 0213 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521277724214 1.085833792660 7 7 0 8 0132 0213 0132 0132 1 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 -5 1 4 0 0 1 -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 0.348826903076 0.882221735582 1 1 5 9 3201 0132 0213 0132 1 1 1 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 -5 0 5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006198851906 0.972371302482 2 4 2 7 0132 0213 0213 2103 1 1 1 1 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 0 0 0 -5 0 5 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640687811068 0.748455763087 8 9 8 2 1302 3012 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 -4 0 0 4 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348826903076 0.882221735582 3 10 3 5 0132 0132 0213 2103 1 1 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 0 0 0 0 0 5 -5 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 0.612412570724 0.980251384085 10 6 3 6 0213 2031 0132 0132 1 1 0 1 0 1 -1 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 4 -4 0 -1 0 1 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348826903076 0.882221735582 6 10 4 10 1230 2310 0132 3012 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 0 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 0 0 0 0.348826903076 0.882221735582 8 7 9 9 0213 0132 1230 3201 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 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 0.541587433034 0.733752987336 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : 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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : negation(d['c_0011_2']), '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_2'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0011_6, c_0011_8, c_0101_1, c_0101_2, c_0101_9, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7561/415*c_1100_0^10 + 7473/830*c_1100_0^9 - 55429/830*c_1100_0^8 + 598363/3320*c_1100_0^7 + 226493/830*c_1100_0^6 + 700429/3320*c_1100_0^5 - 721693/3320*c_1100_0^4 - 26768/83*c_1100_0^3 - 87627/664*c_1100_0^2 + 45913/830*c_1100_0 + 60647/830, c_0011_0 - 1, c_0011_10 + 1073/830*c_1100_0^10 - 6119/1660*c_1100_0^9 + 1261/830*c_1100_0^8 - 218859/6640*c_1100_0^7 - 186211/6640*c_1100_0^6 - 37021/3320*c_1100_0^5 + 92127/3320*c_1100_0^4 + 24233/1328*c_1100_0^3 - 3491/1328*c_1100_0^2 - 12979/1660*c_1100_0 - 2551/1660, c_0011_2 + 3743/1660*c_1100_0^10 + 16431/3320*c_1100_0^9 + 32321/1660*c_1100_0^8 + 332731/13280*c_1100_0^7 + 210959/13280*c_1100_0^6 - 72621/6640*c_1100_0^5 - 102833/6640*c_1100_0^4 - 17841/2656*c_1100_0^3 + 12595/2656*c_1100_0^2 + 4973/1660*c_1100_0 + 1769/3320, c_0011_6 - 1, c_0011_8 - 2007/1660*c_1100_0^10 - 3719/3320*c_1100_0^9 - 18469/1660*c_1100_0^8 - 76579/13280*c_1100_0^7 - 262551/13280*c_1100_0^6 - 20301/6640*c_1100_0^5 + 22527/6640*c_1100_0^4 + 43941/2656*c_1100_0^3 + 10985/2656*c_1100_0^2 - 3661/830*c_1100_0 - 12561/3320, c_0101_1 - 3571/1660*c_1100_0^10 - 10727/3320*c_1100_0^9 - 6113/415*c_1100_0^8 - 150807/13280*c_1100_0^7 + 65307/13280*c_1100_0^6 + 110057/6640*c_1100_0^5 + 55111/6640*c_1100_0^4 - 17763/2656*c_1100_0^3 - 15329/2656*c_1100_0^2 - 383/830*c_1100_0 + 4517/3320, c_0101_2 - 199/415*c_1100_0^10 - 413/830*c_1100_0^9 - 3891/830*c_1100_0^8 - 10143/3320*c_1100_0^7 - 15761/1660*c_1100_0^6 - 1218/415*c_1100_0^5 + 4009/1660*c_1100_0^4 + 5005/664*c_1100_0^3 + 543/166*c_1100_0^2 - 3661/1660*c_1100_0 - 1207/830, c_0101_9 - 3571/1660*c_1100_0^10 - 10727/3320*c_1100_0^9 - 6113/415*c_1100_0^8 - 150807/13280*c_1100_0^7 + 65307/13280*c_1100_0^6 + 110057/6640*c_1100_0^5 + 55111/6640*c_1100_0^4 - 17763/2656*c_1100_0^3 - 15329/2656*c_1100_0^2 - 383/830*c_1100_0 + 4517/3320, c_1001_1 - 199/415*c_1100_0^10 - 413/830*c_1100_0^9 - 3891/830*c_1100_0^8 - 10143/3320*c_1100_0^7 - 15761/1660*c_1100_0^6 - 1218/415*c_1100_0^5 + 4009/1660*c_1100_0^4 + 5005/664*c_1100_0^3 + 543/166*c_1100_0^2 - 3661/1660*c_1100_0 - 1207/830, c_1001_10 + c_1100_0, c_1100_0^11 + 3/2*c_1100_0^10 + 15/2*c_1100_0^9 + 45/8*c_1100_0^8 + 7/4*c_1100_0^7 - 65/8*c_1100_0^6 - 11/2*c_1100_0^5 - 1/8*c_1100_0^4 + 15/4*c_1100_0^3 + 13/8*c_1100_0^2 - 1/2*c_1100_0 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB