Magma V2.19-8 Tue Aug 20 2013 23:40:02 on localhost [Seed = 1031494035] Type ? for help. Type -D to quit. Loading file "K14n27134__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n27134 geometric_solution 9.51662056 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273101336299 0.801154390446 0 5 5 6 0132 0132 3201 0132 0 0 0 0 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 0 -1 1 -10 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927411388488 1.017500221529 6 0 3 7 3201 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207993858902 0.430576953388 4 2 5 0 0321 1230 0132 0132 0 0 0 0 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 -1 0 1 0 0 0 0 0 -10 0 10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621158787937 0.684612745862 3 8 0 8 0321 0132 0132 1023 0 0 0 0 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363500945637 1.434882903303 1 1 7 3 2310 0132 2031 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510703766392 0.536826517626 8 9 1 2 0213 0132 0132 2310 0 0 0 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 -9 0 -1 10 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218237681929 1.745679292786 9 8 2 5 0132 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.218237681929 1.745679292786 6 4 7 4 0213 0132 0213 1023 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 0 0 0 9 0 0 -9 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.342859455794 1.778978605038 7 6 10 10 0132 0132 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 -0.034135164762 0.584368243177 9 10 9 10 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.896860352066 0.950778183174 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_2'], 'c_1010_10' : d['c_0101_9'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_7']), 'c_1100_4' : negation(d['c_1010_7']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1010_7']), 'c_1100_3' : negation(d['c_1010_7']), 'c_1100_2' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : d['c_1010_7'], '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_6']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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' : negation(d['c_0101_9']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : negation(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_3, c_0011_4, c_0011_6, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_9, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 198378527745983/9738198091008*c_1010_7^11 - 1320814962813223/9738198091008*c_1010_7^10 - 535971656182895/1082022010112*c_1010_7^9 - 250280623624105/202879126896*c_1010_7^8 - 11724848775696455/4869099045504*c_1010_7^7 - 33847435508659075/9738198091008*c_1010_7^6 - 1347421775722435/405758253792*c_1010_7^5 - 1571324430877955/811516507584*c_1010_7^4 - 3599170889459527/4869099045504*c_1010_7^3 + 12094281540001/304318690344*c_1010_7^2 + 1506034877403685/9738198091008*c_1010_7 - 169283386938787/9738198091008, c_0011_0 - 1, c_0011_10 + 28733526/1788679*c_1010_7^11 + 179968537/1788679*c_1010_7^10 + 621804966/1788679*c_1010_7^9 + 1455377365/1788679*c_1010_7^8 + 2677680883/1788679*c_1010_7^7 + 3483425356/1788679*c_1010_7^6 + 2597626189/1788679*c_1010_7^5 + 668476852/1788679*c_1010_7^4 - 232205626/1788679*c_1010_7^3 - 576285862/1788679*c_1010_7^2 - 237335740/1788679*c_1010_7 + 112802114/1788679, c_0011_3 + 78495/1788679*c_1010_7^11 + 437408/1788679*c_1010_7^10 + 1388666/1788679*c_1010_7^9 + 2944518/1788679*c_1010_7^8 + 5032443/1788679*c_1010_7^7 + 5548299/1788679*c_1010_7^6 + 2493338/1788679*c_1010_7^5 - 826147/1788679*c_1010_7^4 - 671546/1788679*c_1010_7^3 - 1185093/1788679*c_1010_7^2 - 2642891/1788679*c_1010_7 - 504046/1788679, c_0011_4 - c_1010_7, c_0011_6 + 32795211/1788679*c_1010_7^11 + 204928682/1788679*c_1010_7^10 + 706823128/1788679*c_1010_7^9 + 1651274657/1788679*c_1010_7^8 + 3033383237/1788679*c_1010_7^7 + 3933614195/1788679*c_1010_7^6 + 2909812964/1788679*c_1010_7^5 + 719815260/1788679*c_1010_7^4 - 282002862/1788679*c_1010_7^3 - 660405795/1788679*c_1010_7^2 - 263162994/1788679*c_1010_7 + 133193685/1788679, c_0101_1 + 1751727/1788679*c_1010_7^11 + 11152672/1788679*c_1010_7^10 + 38909318/1788679*c_1010_7^9 + 92172939/1788679*c_1010_7^8 + 171456023/1788679*c_1010_7^7 + 228459864/1788679*c_1010_7^6 + 180397821/1788679*c_1010_7^5 + 62019188/1788679*c_1010_7^4 + 529240/1788679*c_1010_7^3 - 30322920/1788679*c_1010_7^2 - 18140616/1788679*c_1010_7 + 6222037/1788679, c_0101_10 + 32212670/1788679*c_1010_7^11 + 201545493/1788679*c_1010_7^10 + 695790950/1788679*c_1010_7^9 + 1627036735/1788679*c_1010_7^8 + 2990971632/1788679*c_1010_7^7 + 3884205877/1788679*c_1010_7^6 + 2883129211/1788679*c_1010_7^5 + 723134745/1788679*c_1010_7^4 - 275100819/1788679*c_1010_7^3 - 650819420/1788679*c_1010_7^2 - 261981737/1788679*c_1010_7 + 129819243/1788679, c_0101_2 + 11403615/1788679*c_1010_7^11 + 71481950/1788679*c_1010_7^10 + 247268978/1788679*c_1010_7^9 + 579619995/1788679*c_1010_7^8 + 1068253847/1788679*c_1010_7^7 + 1393971821/1788679*c_1010_7^6 + 1049274283/1788679*c_1010_7^5 + 285287058/1788679*c_1010_7^4 - 78738358/1788679*c_1010_7^3 - 223936000/1788679*c_1010_7^2 - 93968074/1788679*c_1010_7 + 42426412/1788679, c_0101_5 + 1, c_0101_9 - 17874811/1788679*c_1010_7^11 - 112131992/1788679*c_1010_7^10 - 387996501/1788679*c_1010_7^9 - 909688214/1788679*c_1010_7^8 - 1676423359/1788679*c_1010_7^7 - 2187512178/1788679*c_1010_7^6 - 1644783137/1788679*c_1010_7^5 - 441578822/1788679*c_1010_7^4 + 133039904/1788679*c_1010_7^3 + 357466485/1788679*c_1010_7^2 + 149853365/1788679*c_1010_7 - 68762332/1788679, c_1010_7^12 + 6*c_1010_7^11 + 20*c_1010_7^10 + 45*c_1010_7^9 + 80*c_1010_7^8 + 97*c_1010_7^7 + 59*c_1010_7^6 - 14*c_1010_7^4 - 18*c_1010_7^3 - 3*c_1010_7^2 + 6*c_1010_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.670 Total time: 0.880 seconds, Total memory usage: 32.09MB