Magma V2.19-8 Wed Aug 21 2013 01:07:22 on localhost [Seed = 425656336] Type ? for help. Type -D to quit. Loading file "L14n33071__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33071 geometric_solution 11.71699216 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -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 -0.032347055995 1.217027765333 0 5 6 6 0132 0132 2103 0132 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 -1 1 0 -2 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 0.640312180799 0.834166203112 7 0 7 8 0132 0132 0321 0132 1 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 -1 0 1 -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 0.021823635413 0.821093896219 4 9 10 0 0132 0132 0132 0132 1 1 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 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 0.236046477523 0.939696508814 3 11 0 6 0132 0132 0132 2031 1 1 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 1 -1 0 0 -1 1 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194412125673 0.636476910526 7 1 10 8 1023 0132 1302 2031 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 0.899314152426 0.729097942220 1 4 1 10 2103 1302 0132 1302 1 1 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 0 0 0 0 0 -1 1 0 2 0 -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 0.420968434082 0.754332929011 2 5 2 9 0132 1023 0321 0132 1 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 0 0 3 0 -1 -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 0.021823635413 0.821093896219 11 5 2 10 2103 1302 0132 3201 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 0 0 0 0 0 0 -1 1 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 0.156463152435 0.449290378899 12 3 7 11 0132 0132 0132 0213 1 0 0 0 0 0 0 0 1 0 -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 -2 0 2 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 0.278523542790 1.025664892444 5 8 6 3 2031 2310 2031 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 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 0.471885551332 1.115673349767 12 4 8 9 1023 0132 2103 0213 1 0 0 0 0 0 0 0 0 0 1 -1 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 -3 3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.170784223905 0.592318884847 9 11 12 12 0132 1023 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 0 2 -2 2 0 0 -2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.045959061494 1.190515713134 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_1010_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : 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' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : negation(d['c_0101_10'])})} 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_10, c_0011_11, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_5, c_0110_8, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 92127326361/375077666414*c_1010_6^9 + 112478076998/187538833207*c_1010_6^8 + 39257931602/17048984837*c_1010_6^7 + 704840220431/187538833207*c_1010_6^6 + 68088715701/11031696071*c_1010_6^5 + 1092890878593/187538833207*c_1010_6^4 + 772475283341/187538833207*c_1010_6^3 + 26684400916/187538833207*c_1010_6^2 - 118348017389/375077666414*c_1010_6 - 23869165645/187538833207, c_0011_0 - 1, c_0011_10 + 467/449*c_1010_6^9 + 909/449*c_1010_6^8 + 4063/449*c_1010_6^7 + 6258/449*c_1010_6^6 + 12167/449*c_1010_6^5 + 13468/449*c_1010_6^4 + 14452/449*c_1010_6^3 + 8026/449*c_1010_6^2 + 5636/449*c_1010_6 + 2240/449, c_0011_11 - 6695/449*c_1010_6^9 - 12348/449*c_1010_6^8 - 57922/449*c_1010_6^7 - 84125/449*c_1010_6^6 - 171071/449*c_1010_6^5 - 177110/449*c_1010_6^4 - 197972/449*c_1010_6^3 - 95512/449*c_1010_6^2 - 76627/449*c_1010_6 - 18470/449, c_0011_6 - 73/449*c_1010_6^9 + 130/449*c_1010_6^8 - 189/449*c_1010_6^7 + 1261/449*c_1010_6^6 + 969/449*c_1010_6^5 + 4099/449*c_1010_6^4 + 2952/449*c_1010_6^3 + 5216/449*c_1010_6^2 + 441/449*c_1010_6 + 1941/449, c_0101_0 - 1, c_0101_10 + 176/449*c_1010_6^9 + 357/449*c_1010_6^8 + 1612/449*c_1010_6^7 + 2520/449*c_1010_6^6 + 5020/449*c_1010_6^5 + 5568/449*c_1010_6^4 + 5910/449*c_1010_6^3 + 3244/449*c_1010_6^2 + 1926/449*c_1010_6 + 450/449, c_0101_11 - 2240/449*c_1010_6^9 - 4013/449*c_1010_6^8 - 19251/449*c_1010_6^7 - 27297/449*c_1010_6^6 - 56462/449*c_1010_6^5 - 57273/449*c_1010_6^4 - 64932/449*c_1010_6^3 - 30348/449*c_1010_6^2 - 25574/449*c_1010_6 - 5564/449, c_0101_12 - 4505/449*c_1010_6^9 - 8166/449*c_1010_6^8 - 38782/449*c_1010_6^7 - 55503/449*c_1010_6^6 - 113933/449*c_1010_6^5 - 116439/449*c_1010_6^4 - 131178/449*c_1010_6^3 - 62065/449*c_1010_6^2 - 51243/449*c_1010_6 - 11595/449, c_0101_3 - 249/449*c_1010_6^9 - 227/449*c_1010_6^8 - 1801/449*c_1010_6^7 - 1259/449*c_1010_6^6 - 4051/449*c_1010_6^5 - 1469/449*c_1010_6^4 - 2958/449*c_1010_6^3 + 1972/449*c_1010_6^2 - 1485/449*c_1010_6 + 1491/449, c_0110_5 - 467/449*c_1010_6^9 - 909/449*c_1010_6^8 - 4063/449*c_1010_6^7 - 6258/449*c_1010_6^6 - 12167/449*c_1010_6^5 - 13468/449*c_1010_6^4 - 14452/449*c_1010_6^3 - 8026/449*c_1010_6^2 - 6085/449*c_1010_6 - 2240/449, c_0110_8 - 198/449*c_1010_6^9 - 570/449*c_1010_6^8 - 2038/449*c_1010_6^7 - 4182/449*c_1010_6^6 - 7219/449*c_1010_6^5 - 9856/449*c_1010_6^4 - 9904/449*c_1010_6^3 - 7466/449*c_1010_6^2 - 3177/449*c_1010_6 - 2190/449, c_1001_2 + 467/449*c_1010_6^9 + 909/449*c_1010_6^8 + 4063/449*c_1010_6^7 + 6258/449*c_1010_6^6 + 12167/449*c_1010_6^5 + 13468/449*c_1010_6^4 + 14452/449*c_1010_6^3 + 8026/449*c_1010_6^2 + 5636/449*c_1010_6 + 2240/449, c_1010_6^10 + 2*c_1010_6^9 + 9*c_1010_6^8 + 14*c_1010_6^7 + 28*c_1010_6^6 + 31*c_1010_6^5 + 35*c_1010_6^4 + 20*c_1010_6^3 + 15*c_1010_6^2 + 5*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB