Magma V2.19-8 Wed Aug 21 2013 01:05:26 on localhost [Seed = 4055361918] Type ? for help. Type -D to quit. Loading file "L14n25__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25 geometric_solution 12.21631478 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 1 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491548297777 0.758793684238 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 2 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398634983910 0.928315647098 8 0 9 6 0132 0132 0132 2031 1 1 0 1 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 0 0 0 1 0 -1 0 0 1 0 -1 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187828287292 0.947124066520 5 8 10 0 0132 0132 0132 0132 1 1 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 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 0.753022130805 0.674258316349 10 7 0 11 1023 0132 0132 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 -1 1 0 0 0 0 0 -8 8 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735407661204 0.632610789096 3 1 12 9 0132 0132 0132 0321 1 1 1 0 0 0 0 0 0 0 1 -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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411480323327 0.650659188418 12 2 1 11 0132 1302 0132 2103 1 1 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 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 0.544215764768 1.108583226574 10 4 12 1 2031 0132 0321 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521737642658 0.608430791222 2 3 12 11 0132 0132 3012 1230 1 1 1 0 0 0 0 0 0 0 0 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 -1 0 1 -1 0 1 0 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775174765279 1.233817404866 10 5 11 2 0321 0321 0213 0132 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 8 0 0 -8 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.471642116725 0.659034276520 9 4 7 3 0321 1023 1302 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 0 0 0 0 -8 8 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623057593679 0.483842769424 8 9 4 6 3012 0213 0132 2103 1 1 1 1 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 -1 0 0 1 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976953896590 0.652435458369 6 8 7 5 0132 1230 0321 0132 1 1 0 1 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 -1 1 0 -1 0 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317244721747 0.771619880774 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : 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_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1010_11'], 'c_1100_8' : d['c_0110_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : negation(d['c_0110_11']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_1010_11'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1010_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0101_11'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), '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_0011_10']), 'c_0101_8' : d['c_0101_8'], '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_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), '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_8'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_8, c_0110_11, c_1001_1, c_1001_11, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 56364350013/205157040128*c_1010_11^6 + 604864009719/205157040128*c_1010_11^5 - 4208209520745/820628160512*c_1010_11^4 + 10960907200379/1641256321024*c_1010_11^3 - 5350517016265/1641256321024*c_1010_11^2 - 34642086509/96544489472*c_1010_11 + 387993202917/820628160512, c_0011_0 - 1, c_0011_10 + 84448/195653*c_1010_11^6 + 977256/195653*c_1010_11^5 - 744136/195653*c_1010_11^4 + 1498338/195653*c_1010_11^3 - 348489/195653*c_1010_11^2 + 32575/11509*c_1010_11 - 326414/195653, c_0011_12 + 60924/195653*c_1010_11^6 + 651148/195653*c_1010_11^5 - 1149699/195653*c_1010_11^4 + 3379949/391306*c_1010_11^3 - 2398485/391306*c_1010_11^2 + 48233/23018*c_1010_11 - 362600/195653, c_0011_9 + 138864/195653*c_1010_11^6 + 1594640/195653*c_1010_11^5 - 1341492/195653*c_1010_11^4 + 2834622/195653*c_1010_11^3 - 1363292/195653*c_1010_11^2 + 67397/11509*c_1010_11 - 666590/195653, c_0101_0 + 60924/195653*c_1010_11^6 + 651148/195653*c_1010_11^5 - 1149699/195653*c_1010_11^4 + 3379949/391306*c_1010_11^3 - 2398485/391306*c_1010_11^2 + 48233/23018*c_1010_11 - 362600/195653, c_0101_1 - 1, c_0101_11 - 100448/195653*c_1010_11^6 - 1139944/195653*c_1010_11^5 + 1148536/195653*c_1010_11^4 - 1919754/195653*c_1010_11^3 + 1062151/195653*c_1010_11^2 - 37134/11509*c_1010_11 + 453505/195653, c_0101_12 + 109164/195653*c_1010_11^6 + 1274236/195653*c_1010_11^5 - 826759/195653*c_1010_11^4 + 3887217/391306*c_1010_11^3 - 584373/391306*c_1010_11^2 + 49991/23018*c_1010_11 - 193520/195653, c_0101_8 - 109164/195653*c_1010_11^6 - 1274236/195653*c_1010_11^5 + 826759/195653*c_1010_11^4 - 3887217/391306*c_1010_11^3 + 584373/391306*c_1010_11^2 - 49991/23018*c_1010_11 + 193520/195653, c_0110_11 - 60924/195653*c_1010_11^6 - 651148/195653*c_1010_11^5 + 1149699/195653*c_1010_11^4 - 3379949/391306*c_1010_11^3 + 2398485/391306*c_1010_11^2 - 48233/23018*c_1010_11 + 362600/195653, c_1001_1 + 38416/195653*c_1010_11^6 + 454696/195653*c_1010_11^5 - 192956/195653*c_1010_11^4 + 914868/195653*c_1010_11^3 - 301141/195653*c_1010_11^2 + 30263/11509*c_1010_11 - 17432/195653, c_1001_11 + c_1010_11, c_1010_11^7 + 11*c_1010_11^6 - 61/4*c_1010_11^5 + 199/8*c_1010_11^4 - 133/8*c_1010_11^3 + 87/8*c_1010_11^2 - 27/4*c_1010_11 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB