Magma V2.19-8 Wed Aug 21 2013 01:04:20 on localhost [Seed = 813049982] Type ? for help. Type -D to quit. Loading file "L14n24046__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24046 geometric_solution 12.29779784 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 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 -1 1 0 0 1 -1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289621398138 1.676349201634 0 4 6 5 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 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 -1 1 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840967479511 0.739707372516 3 0 5 7 1023 0132 0213 0132 1 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 1 0 -1 0 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307742771909 1.301315446162 8 2 9 0 0132 1023 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 -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 -1 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 0 0 0 0.423572987857 0.555232932747 8 1 0 7 1023 0132 0132 0213 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 -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 0.377319175056 0.647609310948 10 2 1 6 0132 0213 0132 0321 1 0 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482157878428 0.421620280739 11 5 12 1 0132 0321 0132 0132 1 0 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 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 0.818105182137 1.382086476000 12 12 2 4 2310 3120 0132 0213 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 0.534611395175 0.755827666367 3 4 10 11 0132 1023 0132 2103 0 0 1 1 0 -1 0 1 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 1 0 -1 -1 0 1 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488599651364 0.568820786932 10 11 12 3 2031 0132 3201 0132 1 0 1 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 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 0.561468703620 0.683830501060 5 11 9 8 0132 1230 1302 0132 0 0 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 0 0 1 -1 -6 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329505530773 0.813265689068 6 9 10 8 0132 0132 3012 2103 1 0 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.121515256796 0.700970133913 9 7 7 6 2310 3120 3201 0132 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590698112250 0.959340153758 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_1'], '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' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0101_6']), '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'], 'c_1100_12' : negation(d['c_0011_7']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_6, c_0101_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 216291/86986*c_1001_2^9 + 1995587/173972*c_1001_2^8 - 1111075/43493*c_1001_2^7 + 3193601/86986*c_1001_2^6 - 5915379/173972*c_1001_2^5 + 1462893/43493*c_1001_2^4 - 3258103/173972*c_1001_2^3 + 14113/2806*c_1001_2^2 - 127687/86986*c_1001_2 + 149341/173972, c_0011_0 - 1, c_0011_10 - 6*c_1001_2^9 + 23*c_1001_2^8 - 58*c_1001_2^7 + 90*c_1001_2^6 - 116*c_1001_2^5 + 119*c_1001_2^4 - 95*c_1001_2^3 + 60*c_1001_2^2 - 27*c_1001_2 + 7, c_0011_11 + 7080/61*c_1001_2^9 - 23444/61*c_1001_2^8 + 56060/61*c_1001_2^7 - 76606/61*c_1001_2^6 + 96222/61*c_1001_2^5 - 89687/61*c_1001_2^4 + 64611/61*c_1001_2^3 - 36654/61*c_1001_2^2 + 13705/61*c_1001_2 - 2178/61, c_0011_12 - 213/61*c_1001_2^9 - 737/122*c_1001_2^8 + 2669/122*c_1001_2^7 - 9361/122*c_1001_2^6 + 10483/122*c_1001_2^5 - 7833/61*c_1001_2^4 + 12935/122*c_1001_2^3 - 9011/122*c_1001_2^2 + 4753/122*c_1001_2 - 1185/122, c_0011_7 + 3768/61*c_1001_2^9 - 13472/61*c_1001_2^8 + 32662/61*c_1001_2^7 - 47310/61*c_1001_2^6 + 58808/61*c_1001_2^5 - 57433/61*c_1001_2^4 + 41987/61*c_1001_2^3 - 24577/61*c_1001_2^2 + 9708/61*c_1001_2 - 1710/61, c_0101_0 - 1, c_0101_1 + 1, c_0101_12 - 6705/61*c_1001_2^9 + 43443/122*c_1001_2^8 - 103423/122*c_1001_2^7 + 138495/122*c_1001_2^6 - 174001/122*c_1001_2^5 + 79416/61*c_1001_2^4 - 113125/122*c_1001_2^3 + 63061/122*c_1001_2^2 - 22437/122*c_1001_2 + 3339/122, c_0101_3 + 588/61*c_1001_2^9 - 1537/61*c_1001_2^8 + 7065/122*c_1001_2^7 - 7491/122*c_1001_2^6 + 4956/61*c_1001_2^5 - 3414/61*c_1001_2^4 + 2191/61*c_1001_2^3 - 1907/122*c_1001_2^2 + 37/122*c_1001_2 + 84/61, c_0101_6 - 6117/61*c_1001_2^9 + 40369/122*c_1001_2^8 - 48179/61*c_1001_2^7 + 65502/61*c_1001_2^6 - 164089/122*c_1001_2^5 + 76002/61*c_1001_2^4 - 108743/122*c_1001_2^3 + 30577/61*c_1001_2^2 - 11200/61*c_1001_2 + 3507/122, c_0101_7 - 213/61*c_1001_2^9 - 737/122*c_1001_2^8 + 2669/122*c_1001_2^7 - 9361/122*c_1001_2^6 + 10483/122*c_1001_2^5 - 7833/61*c_1001_2^4 + 12935/122*c_1001_2^3 - 9011/122*c_1001_2^2 + 4875/122*c_1001_2 - 1185/122, c_1001_1 - 3768/61*c_1001_2^9 + 13472/61*c_1001_2^8 - 32662/61*c_1001_2^7 + 47310/61*c_1001_2^6 - 58808/61*c_1001_2^5 + 57433/61*c_1001_2^4 - 41987/61*c_1001_2^3 + 24577/61*c_1001_2^2 - 9647/61*c_1001_2 + 1710/61, c_1001_2^10 - 23/6*c_1001_2^9 + 29/3*c_1001_2^8 - 15*c_1001_2^7 + 58/3*c_1001_2^6 - 119/6*c_1001_2^5 + 95/6*c_1001_2^4 - 10*c_1001_2^3 + 14/3*c_1001_2^2 - 4/3*c_1001_2 + 1/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB