Magma V2.19-8 Tue Aug 20 2013 23:53:29 on localhost [Seed = 1999707278] Type ? for help. Type -D to quit. Loading file "L13n6055__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6055 geometric_solution 11.02228442 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 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 -1 0 1 5 0 -6 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.888290234914 0.634126758171 0 5 3 6 0132 0132 3120 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 0 0 0 -5 0 0 5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498343555504 0.380911778274 2 0 2 4 2310 0132 3201 2031 1 1 1 1 0 0 0 0 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 1 0 -1 0 0 -5 5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082234816811 0.662437600342 7 8 1 0 0132 0132 3120 0132 1 0 1 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 0 0 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 0 0 0 0.717774426177 0.664652652694 8 2 0 9 2103 1302 0132 0132 1 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 0 0 0 -5 -1 6 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 0.254274749503 0.532353409953 7 1 9 10 1302 0132 3012 0132 1 1 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 0 1 -1 5 0 -6 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 0.909712801511 0.530731414091 7 11 1 11 2103 0132 0132 2103 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 -5 5 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352498428645 1.078932939044 3 5 6 10 0132 2031 2103 0213 1 0 1 1 0 0 0 0 -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 0 0 6 0 0 -6 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357102988422 0.650910880312 9 3 4 10 3120 0132 2103 3201 1 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 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 0.249945693348 0.694543531226 11 5 4 8 2103 1230 0132 3120 1 0 1 1 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 6 -6 0 1 0 -1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.264405010162 0.960072906794 11 8 5 7 0213 2310 0132 0213 1 1 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 1 0 0 0 -1 1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768095373332 0.777669870313 10 6 9 6 0213 0132 2103 2103 1 0 1 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 0 0 0 0 0 0 0 6 0 -1 -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 0.352498428645 1.078932939044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0110_6']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : 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_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_6'], 'c_0110_8' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4088/68601*c_1001_1^5 - 191701/617409*c_1001_1^4 - 33266/47493*c_1001_1^3 - 259153/617409*c_1001_1^2 - 736144/617409*c_1001_1 - 441380/617409, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 78/1759*c_1001_1^5 - 339/1759*c_1001_1^4 - 782/1759*c_1001_1^3 - 482/1759*c_1001_1^2 - 1291/1759*c_1001_1 - 930/1759, c_0011_3 - 156/1759*c_1001_1^5 - 678/1759*c_1001_1^4 - 1564/1759*c_1001_1^3 - 964/1759*c_1001_1^2 - 4341/1759*c_1001_1 - 101/1759, c_0011_4 - 210/1759*c_1001_1^5 - 1048/1759*c_1001_1^4 - 2376/1759*c_1001_1^3 - 1433/1759*c_1001_1^2 - 4017/1759*c_1001_1 - 1692/1759, c_0011_9 + 78/1759*c_1001_1^5 + 339/1759*c_1001_1^4 + 782/1759*c_1001_1^3 + 482/1759*c_1001_1^2 + 1291/1759*c_1001_1 + 930/1759, c_0101_0 - 1, c_0101_1 - 210/1759*c_1001_1^5 - 1048/1759*c_1001_1^4 - 2376/1759*c_1001_1^3 - 1433/1759*c_1001_1^2 - 4017/1759*c_1001_1 + 67/1759, c_0101_2 - 132/1759*c_1001_1^5 - 709/1759*c_1001_1^4 - 1594/1759*c_1001_1^3 - 951/1759*c_1001_1^2 - 2726/1759*c_1001_1 - 2521/1759, c_0101_3 - 78/1759*c_1001_1^5 - 339/1759*c_1001_1^4 - 782/1759*c_1001_1^3 - 482/1759*c_1001_1^2 - 3050/1759*c_1001_1 + 829/1759, c_0110_6 + 78/1759*c_1001_1^5 + 339/1759*c_1001_1^4 + 782/1759*c_1001_1^3 + 482/1759*c_1001_1^2 + 3050/1759*c_1001_1 + 930/1759, c_1001_1^6 + 5*c_1001_1^5 + 12*c_1001_1^4 + 11*c_1001_1^3 + 31*c_1001_1^2 + 8*c_1001_1 + 13 ], 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 5279395/49024*c_1001_1^8 + 822733/24512*c_1001_1^7 + 1277101/24512*c_1001_1^6 - 5642725/49024*c_1001_1^5 + 10203403/49024*c_1001_1^4 - 525393/3064*c_1001_1^3 + 3288509/49024*c_1001_1^2 - 2168715/49024*c_1001_1 + 446389/49024, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 65/4*c_1001_1^8 + 9/2*c_1001_1^7 + 1/2*c_1001_1^6 + 103/4*c_1001_1^5 - 157/4*c_1001_1^4 + 39*c_1001_1^3 - 71/4*c_1001_1^2 + 33/4*c_1001_1 - 23/4, c_0011_3 + c_1001_1, c_0011_4 - 35/16*c_1001_1^8 + 71/8*c_1001_1^7 + 55/8*c_1001_1^6 + 125/16*c_1001_1^5 - 219/16*c_1001_1^4 + 31/2*c_1001_1^3 - 101/16*c_1001_1^2 - 5/16*c_1001_1 - 45/16, c_0011_9 - 5/8*c_1001_1^8 + 63/4*c_1001_1^7 + 43/4*c_1001_1^6 + 87/8*c_1001_1^5 - 133/8*c_1001_1^4 + 49/2*c_1001_1^3 - 127/8*c_1001_1^2 + 29/8*c_1001_1 - 39/8, c_0101_0 - 1, c_0101_1 - 415/16*c_1001_1^8 - 61/8*c_1001_1^7 - 213/8*c_1001_1^6 + 113/16*c_1001_1^5 - 1207/16*c_1001_1^4 + 73/2*c_1001_1^3 - 681/16*c_1001_1^2 + 71/16*c_1001_1 - 129/16, c_0101_2 + 105/16*c_1001_1^8 + 17/8*c_1001_1^7 + 49/8*c_1001_1^6 - 91/16*c_1001_1^5 + 209/16*c_1001_1^4 - 55/4*c_1001_1^3 + 147/16*c_1001_1^2 - 81/16*c_1001_1 + 11/16, c_0101_3 + 65/4*c_1001_1^8 + 31/2*c_1001_1^7 + 51/2*c_1001_1^6 + 17/4*c_1001_1^5 + 157/4*c_1001_1^4 - 7*c_1001_1^3 + 75/4*c_1001_1^2 - 5/4*c_1001_1 + 11/4, c_0110_6 + 65/4*c_1001_1^8 + 31/2*c_1001_1^7 + 51/2*c_1001_1^6 + 17/4*c_1001_1^5 + 157/4*c_1001_1^4 - 7*c_1001_1^3 + 75/4*c_1001_1^2 - 5/4*c_1001_1 + 11/4, c_1001_1^9 - 1/5*c_1001_1^8 + 4/5*c_1001_1^7 - c_1001_1^6 + 14/5*c_1001_1^5 - 3*c_1001_1^4 + 11/5*c_1001_1^3 - 6/5*c_1001_1^2 + 2/5*c_1001_1 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB