Magma V2.19-8 Tue Aug 20 2013 23:56:53 on localhost [Seed = 1292576177] Type ? for help. Type -D to quit. Loading file "L14n24918__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24918 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 0 2 0132 3201 2310 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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989383417316 0.813586232088 0 3 4 2 0132 0132 0132 2031 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 -2 -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 0.482134420756 0.783204885734 5 1 0 6 0132 1302 0132 0132 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 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 0.482134420756 0.783204885734 6 1 6 7 3201 0132 2310 0132 0 0 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 0 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 0.115418642987 0.840948480257 8 9 10 1 0132 0132 0132 0132 0 1 1 1 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 -2 2 0 0 0 0 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665709313812 0.735197138011 2 7 11 8 0132 2031 0132 0132 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 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 0.665709313812 0.735197138011 10 3 2 3 2103 3201 0132 2310 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 0 0.115418642987 0.840948480257 5 11 3 10 1302 2103 0132 0321 0 0 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 1 -3 2 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 -0.160188911124 1.167147853049 4 11 5 9 0132 0213 0132 3120 1 1 1 1 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 -1 0 1 0 0 0 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778706285235 0.423422027290 8 4 11 10 3120 0132 2103 3120 0 1 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 0 0 0 0 -4 3 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408790927379 0.358098384225 9 7 6 4 3120 0321 2103 0132 0 1 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 0 0 0 0 0 0 0 0 -2 0 2 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 0.428387078935 0.430956592206 9 7 8 5 2103 2103 0213 0132 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 -1 1 0 0 0 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 0.408790927379 0.358098384225 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_2'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2776541065595/12267588672*c_0101_4^8 + 8405601952037/12267588672*c_0101_4^7 + 2381299897483/4089196224*c_0101_4^6 + 590977434185/6133794336*c_0101_4^5 - 5936494527587/12267588672*c_0101_4^4 - 1880273136427/1533448584*c_0101_4^3 - 9282748132859/6133794336*c_0101_4^2 - 5480312504261/6133794336*c_0101_4 - 1701289473203/4089196224, c_0011_0 - 1, c_0011_10 + 35159536/7099299*c_0101_4^8 + 9247909/7099299*c_0101_4^7 - 6192982/2366433*c_0101_4^6 - 22923439/7099299*c_0101_4^5 - 38343940/7099299*c_0101_4^4 - 49552360/7099299*c_0101_4^3 + 30715462/7099299*c_0101_4^2 + 5649319/7099299*c_0101_4 + 10632827/2366433, c_0011_11 - 1, c_0011_2 + 13082588/2366433*c_0101_4^8 + 10835141/2366433*c_0101_4^7 + 1092010/788811*c_0101_4^6 - 4432403/2366433*c_0101_4^5 - 19741601/2366433*c_0101_4^4 - 31805921/2366433*c_0101_4^3 - 13352896/2366433*c_0101_4^2 - 11625310/2366433*c_0101_4 + 909985/788811, c_0011_4 + 34648448/7099299*c_0101_4^8 + 60418262/7099299*c_0101_4^7 + 14160073/2366433*c_0101_4^6 - 1300724/7099299*c_0101_4^5 - 56288798/7099299*c_0101_4^4 - 123037559/7099299*c_0101_4^3 - 115783987/7099299*c_0101_4^2 - 74212933/7099299*c_0101_4 - 9020591/2366433, c_0011_6 + 3875354/262937*c_0101_4^8 + 4882090/262937*c_0101_4^7 + 2737984/262937*c_0101_4^6 - 558407/262937*c_0101_4^5 - 5684132/262937*c_0101_4^4 - 11154832/262937*c_0101_4^3 - 7841123/262937*c_0101_4^2 - 5394735/262937*c_0101_4 - 1075307/262937, c_0011_7 - c_0101_4, c_0101_0 + 31158212/7099299*c_0101_4^8 + 69812777/7099299*c_0101_4^7 + 15895777/2366433*c_0101_4^6 + 2260630/7099299*c_0101_4^5 - 57955913/7099299*c_0101_4^4 - 131755211/7099299*c_0101_4^3 - 136192855/7099299*c_0101_4^2 - 80331403/7099299*c_0101_4 - 11510729/2366433, c_0101_1 - 79173947/7099299*c_0101_4^8 - 128634200/7099299*c_0101_4^7 - 26627038/2366433*c_0101_4^6 + 10525568/7099299*c_0101_4^5 + 128760710/7099299*c_0101_4^4 + 273709085/7099299*c_0101_4^3 + 228980122/7099299*c_0101_4^2 + 142444483/7099299*c_0101_4 + 15225215/2366433, c_0101_10 + 1, c_0101_3 - 13082588/2366433*c_0101_4^8 - 10835141/2366433*c_0101_4^7 - 1092010/788811*c_0101_4^6 + 4432403/2366433*c_0101_4^5 + 19741601/2366433*c_0101_4^4 + 31805921/2366433*c_0101_4^3 + 13352896/2366433*c_0101_4^2 + 11625310/2366433*c_0101_4 - 909985/788811, c_0101_4^9 + 26/17*c_0101_4^8 + 24/17*c_0101_4^7 + 7/17*c_0101_4^6 - 23/17*c_0101_4^5 - 59/17*c_0101_4^4 - 58/17*c_0101_4^3 - 52/17*c_0101_4^2 - 21/17*c_0101_4 - 9/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB