Magma V2.19-8 Wed Aug 21 2013 00:57:48 on localhost [Seed = 1460751850] Type ? for help. Type -D to quit. Loading file "L13n4469__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4469 geometric_solution 12.96640039 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 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 1 0 -1 -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 0.494021374318 0.948047869407 0 4 4 5 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 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 0.494021374318 0.948047869407 6 0 0 7 0132 0132 0321 0132 1 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 0 1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494021374318 0.948047869407 8 5 0 5 0132 0132 0132 0213 1 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 1 -1 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 0.326915662004 0.874539390792 9 1 1 10 0132 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494021374318 0.948047869407 11 3 1 3 0132 0132 0132 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 -1 1 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 0.326915662004 0.874539390792 2 9 9 11 0132 0132 1023 0213 0 0 0 0 0 -1 0 1 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 1 1 -2 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501288124999 0.717176593239 11 10 2 10 2031 0132 0132 0213 1 0 0 0 0 1 0 -1 -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 1 -1 0 2 0 0 -2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275496871873 0.908332601221 3 12 10 9 0132 0132 1302 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260877176747 0.844072262541 4 6 6 8 0132 0132 1023 0213 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 -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 0.501288124999 0.717176593239 8 7 4 7 2031 0132 0132 0213 1 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 0 0 0 -1 1 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275496871873 0.908332601221 5 12 7 6 0132 1023 1302 0213 0 0 0 0 0 0 1 -1 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 -2 2 0 0 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260877176747 0.844072262541 11 8 12 12 1023 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371914890218 1.421956965080 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0110_12']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : 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_0011_10'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_12']), 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0110_12'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_1001_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0110_12']), 's_3_1' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_12'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0110_12, c_1001_0, c_1001_1, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 313/2325*c_1001_4 + 1013/4650, c_0011_0 - 1, c_0011_10 - 2*c_1001_4 - 5, c_0011_11 + 3*c_1001_4 + 6, c_0101_0 - c_1001_4 - 1, c_0101_1 + c_1001_4 + 1, c_0101_10 - 1, c_0101_12 - 2*c_1001_4 - 4, c_0101_6 + 1, c_0110_12 - c_1001_4 - 2, c_1001_0 - 1, c_1001_1 - 1, c_1001_2 - c_1001_4, c_1001_4^2 - c_1001_4 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0110_12, c_1001_0, c_1001_1, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 960447/577*c_1001_4^7 - 6974091/577*c_1001_4^6 - 5265709/577*c_1001_4^5 + 10663290/577*c_1001_4^4 - 1834683/577*c_1001_4^3 - 45294621/1154*c_1001_4^2 - 9604553/577*c_1001_4 - 1837061/1154, c_0011_0 - 1, c_0011_10 - 12448/9809*c_1001_4^7 - 92056/9809*c_1001_4^6 - 87080/9809*c_1001_4^5 + 90434/9809*c_1001_4^4 + 18512/9809*c_1001_4^3 - 14132/577*c_1001_4^2 - 219952/9809*c_1001_4 - 55710/9809, c_0011_11 + 20152/9809*c_1001_4^7 + 143078/9809*c_1001_4^6 + 100880/9809*c_1001_4^5 - 160461/9809*c_1001_4^4 + 28532/9809*c_1001_4^3 + 20634/577*c_1001_4^2 + 265100/9809*c_1001_4 + 61682/9809, c_0101_0 + 5972/9809*c_1001_4^7 + 40072/9809*c_1001_4^6 + 14670/9809*c_1001_4^5 - 49632/9809*c_1001_4^4 + 34195/9809*c_1001_4^3 + 84340/9809*c_1001_4^2 + 44738/9809*c_1001_4 + 4763/9809, c_0101_1 - 2688/9809*c_1001_4^7 - 16986/9809*c_1001_4^6 - 598/9809*c_1001_4^5 + 19454/9809*c_1001_4^4 - 17933/9809*c_1001_4^3 - 28166/9809*c_1001_4^2 - 20782/9809*c_1001_4 + 6219/9809, c_0101_10 - 480/577*c_1001_4^7 - 58365/9809*c_1001_4^6 - 2456/577*c_1001_4^5 + 75831/9809*c_1001_4^4 - 11556/9809*c_1001_4^3 - 160720/9809*c_1001_4^2 - 94205/9809*c_1001_4 - 14896/9809, c_0101_12 - 8858/9809*c_1001_4^7 - 66024/9809*c_1001_4^6 - 64576/9809*c_1001_4^5 + 68296/9809*c_1001_4^4 + 16426/9809*c_1001_4^3 - 10541/577*c_1001_4^2 - 154778/9809*c_1001_4 - 40592/9809, c_0101_6 - 2892/9809*c_1001_4^7 - 18373/9809*c_1001_4^6 + 320/9809*c_1001_4^5 + 29673/9809*c_1001_4^4 - 25896/9809*c_1001_4^3 - 42570/9809*c_1001_4^2 - 4601/9809*c_1001_4 + 10578/9809, c_0110_12 + 740/9809*c_1001_4^7 + 2497/9809*c_1001_4^6 - 14870/9809*c_1001_4^5 - 12405/9809*c_1001_4^4 + 28150/9809*c_1001_4^3 - 282/577*c_1001_4^2 - 32414/9809*c_1001_4 - 15846/9809, c_1001_0 - 1, c_1001_1 - 149/577*c_1001_4^7 - 948/577*c_1001_4^6 - 195/577*c_1001_4^5 + 373/577*c_1001_4^4 - 592/577*c_1001_4^3 - 655/577*c_1001_4^2 - 2236/577*c_1001_4 - 694/577, c_1001_2 + 466/577*c_1001_4^7 + 3174/577*c_1001_4^6 + 1365/577*c_1001_4^5 - 4342/577*c_1001_4^4 + 2413/577*c_1001_4^3 + 7470/577*c_1001_4^2 + 2958/577*c_1001_4 + 819/577, c_1001_4^8 + 8*c_1001_4^7 + 11*c_1001_4^6 - 6*c_1001_4^5 - 6*c_1001_4^4 + 22*c_1001_4^3 + 26*c_1001_4^2 + 10*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.580 seconds, Total memory usage: 32.09MB