Magma V2.19-8 Wed Aug 21 2013 00:59:24 on localhost [Seed = 4256949928] Type ? for help. Type -D to quit. Loading file "L13n6863__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6863 geometric_solution 12.17755534 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 1 2 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 1 0 -1 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 0.424462854443 0.753303156862 0 4 6 5 0132 0132 0132 0132 2 1 2 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 0 9 -9 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 0.572018482317 0.649406187625 7 0 0 5 0132 0132 0321 2031 0 2 2 1 0 0 -1 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 0 1 -10 0 1 9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424462854443 0.753303156862 8 5 0 5 0132 2031 0132 2103 0 1 2 1 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 -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 0.640404589676 0.838206191895 7 1 9 10 1023 0132 0132 0132 2 2 1 2 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 -10 0 10 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194814197386 1.505329648062 3 2 1 3 1302 1302 0132 2103 2 1 0 2 0 1 -1 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 -9 9 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 0.424462854443 0.753303156862 8 11 11 1 3120 0132 1302 0132 2 1 1 2 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 9 0 -9 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 0.843873536460 0.819918541558 2 4 9 8 0132 1023 3012 0321 2 2 1 2 0 -1 1 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 10 -9 -1 10 0 0 -10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049748914643 1.017025255916 3 7 10 6 0132 0321 1302 3120 2 1 1 2 0 0 0 0 0 0 0 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 0 1 0 -1 1 0 -1 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532947008313 0.328567954060 11 7 12 4 3120 1230 0132 0132 2 2 2 2 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 1 0 0 -1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.108933416110 1.334445548736 8 11 4 12 2031 0213 0132 3201 2 2 2 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 0 0 0 0 10 -10 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252192493444 0.585532644580 6 6 10 9 2031 0132 0213 3120 2 2 2 1 0 1 0 -1 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 -9 0 9 0 0 10 -10 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390436098060 0.592260242645 12 10 12 9 2310 2310 3201 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227857836093 0.737333980542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : 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_0011_11'], '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' : 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' : 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' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['c_0011_12']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(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_0011_9']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_3']), 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_3'], 'c_1100_8' : d['c_0011_11']})} 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_3, c_0011_5, c_0011_9, c_0101_1, c_0101_12, c_0101_7, c_0110_10, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 85450757420781/3871966*c_1001_1^7 - 138496776204515/3871966*c_1001_1^6 + 37034234103317/1935983*c_1001_1^5 + 137100696714923/3871966*c_1001_1^4 - 4866490361547/1935983*c_1001_1^3 - 17078280836483/1935983*c_1001_1^2 - 794381798209/553138*c_1001_1 - 1767833739691/3871966, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 15864335/276569*c_1001_1^7 - 33563522/276569*c_1001_1^6 + 5594180/276569*c_1001_1^5 + 35927752/276569*c_1001_1^4 + 3576180/276569*c_1001_1^3 - 8728122/276569*c_1001_1^2 - 1758178/276569*c_1001_1 - 751934/276569, c_0011_12 - 2291326/276569*c_1001_1^7 - 6979406/276569*c_1001_1^6 - 4191171/276569*c_1001_1^5 + 4830488/276569*c_1001_1^4 + 5262802/276569*c_1001_1^3 + 275526/276569*c_1001_1^2 - 949453/276569*c_1001_1 - 276470/276569, c_0011_3 + 9807610/276569*c_1001_1^7 + 18449954/276569*c_1001_1^6 - 9206954/276569*c_1001_1^5 - 23117264/276569*c_1001_1^4 + 3063442/276569*c_1001_1^3 + 6744432/276569*c_1001_1^2 - 335496/276569*c_1001_1 + 573232/276569, c_0011_5 - 1, c_0011_9 - 4930332/276569*c_1001_1^7 - 11331137/276569*c_1001_1^6 - 267048/276569*c_1001_1^5 + 11257677/276569*c_1001_1^4 + 3360628/276569*c_1001_1^3 - 1973730/276569*c_1001_1^2 - 962372/276569*c_1001_1 - 364999/276569, c_0101_1 - 1, c_0101_12 - c_1001_1^2 - 2*c_1001_1 - 1, c_0101_7 + 9059196/276569*c_1001_1^7 + 19492984/276569*c_1001_1^6 - 2717416/276569*c_1001_1^5 - 20525772/276569*c_1001_1^4 - 1481812/276569*c_1001_1^3 + 5598116/276569*c_1001_1^2 + 383608/276569*c_1001_1 - 37359/276569, c_0110_10 - 1300643/276569*c_1001_1^7 - 3789308/276569*c_1001_1^6 - 812032/276569*c_1001_1^5 + 5620668/276569*c_1001_1^4 + 3325200/276569*c_1001_1^3 - 1928266/276569*c_1001_1^2 - 1263990/276569*c_1001_1 - 23802/276569, c_0110_5 + 50486826/276569*c_1001_1^7 + 100930174/276569*c_1001_1^6 - 29530622/276569*c_1001_1^5 - 112666020/276569*c_1001_1^4 - 342422/276569*c_1001_1^3 + 30496356/276569*c_1001_1^2 + 3338568/276569*c_1001_1 + 1528049/276569, c_1001_1^8 + 115/41*c_1001_1^7 + 43/41*c_1001_1^6 - 108/41*c_1001_1^5 - 73/41*c_1001_1^4 + 22/41*c_1001_1^3 + 22/41*c_1001_1^2 + 4/41*c_1001_1 + 1/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB