Magma V2.19-8 Tue Aug 20 2013 23:48:57 on localhost [Seed = 1242308827] Type ? for help. Type -D to quit. Loading file "L12n1235__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1235 geometric_solution 10.64769471 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 1 -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 1 10 -11 -1 0 0 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 -0.011605003348 1.028074891661 0 5 7 6 0132 0132 0132 0132 0 0 1 0 0 1 0 -1 0 0 -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 6 0 -6 1 0 -6 5 10 -10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007701264852 0.824103546459 8 0 10 9 0132 0132 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 -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 0.596403826460 0.495313045455 10 9 11 0 1302 1302 0132 0132 1 0 1 0 0 1 0 -1 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 10 0 -10 0 0 0 0 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576407031208 0.985703577195 11 10 0 11 0321 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 11 -11 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 -1.148292714158 0.778819974756 6 1 8 7 1302 0132 0321 1302 0 1 0 1 0 -1 0 1 -1 0 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 -6 0 6 -11 0 0 11 6 -1 0 -5 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539182750259 1.223671507004 9 5 1 8 0213 2031 0132 2031 0 0 1 1 0 -1 1 0 0 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 -6 6 0 0 0 -5 5 -10 10 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778819974756 1.148292714158 11 8 5 1 1230 0321 2031 0132 0 0 0 1 0 -1 1 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 -5 5 0 0 0 -6 6 -1 0 0 1 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405348628819 0.486309108651 2 6 5 7 0132 1302 0321 0321 0 1 0 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 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595446925654 0.596473335070 6 10 2 3 0213 1230 0132 2031 1 1 0 1 0 0 0 0 1 0 0 -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 10 0 0 -10 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988661370407 1.213333788584 4 3 9 2 1023 2031 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -10 11 -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 0.192117249486 0.482610242936 4 7 4 3 0321 3012 0132 0132 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 -11 11 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 0.270872768337 0.550916070598 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0011_3'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0']), 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : negation(d['c_1001_1']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_0']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(d['1']), 's_3_0' : 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' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0011_9'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_7']})} 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_3, c_0011_6, c_0011_7, c_0011_9, c_0101_7, c_0110_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 45939901/2945675*c_1100_0^11 - 1057503799/23565400*c_1100_0^10 - 3802021123/11782700*c_1100_0^9 - 1059228839/4713080*c_1100_0^8 - 30780412291/23565400*c_1100_0^7 - 2663926311/2945675*c_1100_0^6 - 10895112233/5891350*c_1100_0^5 - 20415300081/11782700*c_1100_0^4 - 26433584969/23565400*c_1100_0^3 - 24612308111/23565400*c_1100_0^2 - 994802917/2945675*c_1100_0 - 2373616637/23565400, c_0011_0 - 1, c_0011_10 - 161/239*c_1100_0^11 - 1381/956*c_1100_0^10 - 6065/478*c_1100_0^9 + 211/956*c_1100_0^8 - 12587/239*c_1100_0^7 + 1409/478*c_1100_0^6 - 33731/478*c_1100_0^5 - 11839/956*c_1100_0^4 - 13377/478*c_1100_0^3 - 12095/956*c_1100_0^2 - 195/478*c_1100_0 + 200/239, c_0011_11 - 1, c_0011_3 - 681/1912*c_1100_0^11 - 573/1912*c_1100_0^10 - 5489/956*c_1100_0^9 + 8345/956*c_1100_0^8 - 55025/1912*c_1100_0^7 + 69819/1912*c_1100_0^6 - 82205/1912*c_1100_0^5 + 76741/1912*c_1100_0^4 - 7643/478*c_1100_0^3 + 3414/239*c_1100_0^2 + 433/1912*c_1100_0 + 2611/1912, c_0011_6 + 159/956*c_1100_0^11 + 397/956*c_1100_0^10 + 1549/478*c_1100_0^9 + 859/956*c_1100_0^8 + 11727/956*c_1100_0^7 + 328/239*c_1100_0^6 + 12855/956*c_1100_0^5 + 615/956*c_1100_0^4 + 1757/478*c_1100_0^3 - 4847/956*c_1100_0^2 + 1295/956*c_1100_0 - 219/478, c_0011_7 - 495/1912*c_1100_0^11 - 785/1912*c_1100_0^10 - 1103/239*c_1100_0^9 + 2665/956*c_1100_0^8 - 40053/1912*c_1100_0^7 + 26999/1912*c_1100_0^6 - 58527/1912*c_1100_0^5 + 28497/1912*c_1100_0^4 - 12207/956*c_1100_0^3 + 2193/478*c_1100_0^2 - 3743/1912*c_1100_0 + 1323/1912, c_0011_9 + 495/1912*c_1100_0^11 + 785/1912*c_1100_0^10 + 1103/239*c_1100_0^9 - 2665/956*c_1100_0^8 + 40053/1912*c_1100_0^7 - 26999/1912*c_1100_0^6 + 58527/1912*c_1100_0^5 - 28497/1912*c_1100_0^4 + 12207/956*c_1100_0^3 - 2193/478*c_1100_0^2 + 3743/1912*c_1100_0 - 1323/1912, c_0101_7 - 1, c_0110_5 - 205/1912*c_1100_0^11 - 581/1912*c_1100_0^10 - 1085/478*c_1100_0^9 - 753/478*c_1100_0^8 - 19079/1912*c_1100_0^7 - 9783/1912*c_1100_0^6 - 28497/1912*c_1100_0^5 - 14691/1912*c_1100_0^4 - 7851/956*c_1100_0^3 - 885/956*c_1100_0^2 - 2313/1912*c_1100_0 + 1417/1912, c_1001_0 + 497/956*c_1100_0^11 + 1271/956*c_1100_0^10 + 4917/478*c_1100_0^9 + 3617/956*c_1100_0^8 + 39001/956*c_1100_0^7 + 5389/478*c_1100_0^6 + 52619/956*c_1100_0^5 + 18959/956*c_1100_0^4 + 13137/478*c_1100_0^3 + 7165/956*c_1100_0^2 + 3143/956*c_1100_0 + 147/239, c_1001_1 + 3209/9560*c_1100_0^11 + 768/1195*c_1100_0^10 + 7574/1195*c_1100_0^9 - 1047/956*c_1100_0^8 + 284533/9560*c_1100_0^7 - 15523/2390*c_1100_0^6 + 454649/9560*c_1100_0^5 - 2797/4780*c_1100_0^4 + 12869/478*c_1100_0^3 + 3937/1195*c_1100_0^2 + 38949/9560*c_1100_0 - 909/2390, c_1100_0^12 + 2*c_1100_0^11 + 19*c_1100_0^10 - 2*c_1100_0^9 + 87*c_1100_0^8 - 16*c_1100_0^7 + 138*c_1100_0^6 + 79*c_1100_0^4 + 14*c_1100_0^3 + 15*c_1100_0^2 + 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB