Magma V2.19-8 Wed Aug 21 2013 01:11:21 on localhost [Seed = 560412899] Type ? for help. Type -D to quit. Loading file "L14n56975__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56975 geometric_solution 11.66151460 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 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 1 1 -2 2 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 1.477523200575 0.927248550508 0 5 7 6 0132 0132 0132 0132 2 0 0 2 0 0 0 0 1 0 0 -1 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 0 0 0 -2 0 1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093064650172 1.176936007612 8 0 5 9 0132 0132 2031 0132 2 2 0 2 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 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 -0.017425355703 1.150487034239 10 8 9 0 0132 1230 1302 0132 2 0 0 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 1 0 -1 0 0 -1 1 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448193771024 0.442628509613 11 12 0 9 0132 0132 0132 0321 2 0 1 2 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 0 2 -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 0.742583145416 0.486425722800 12 1 6 2 3201 0132 2031 1302 2 2 2 0 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 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 0.491764136109 0.955367267975 10 11 1 5 2103 0321 0132 1302 2 0 2 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 -1 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395037662127 0.904399623746 10 9 12 1 1302 1302 2103 0132 2 0 2 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 0 0 0 1 0 0 -1 -1 2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251790051089 1.069580916719 2 12 3 11 0132 3201 3012 3201 1 2 2 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 4 -4 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 0.316492189795 0.269133340808 3 4 2 7 2031 0321 0132 2031 2 2 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 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.333296622386 0.916729919008 3 7 6 11 0132 2031 2103 0132 2 0 1 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 1 -1 0 0 0 0 0 -3 -1 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162949804054 0.922135771026 4 8 10 6 0132 2310 0132 0321 2 0 2 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 1 0 0 -1 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693729901765 1.094879368545 7 4 8 5 2103 0132 2310 2310 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627613715296 0.706955698077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0110_5']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_7'], '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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : 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_0011_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : 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' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 130083480864924719105966187/19809278940052448*c_1001_1^5 - 5872666301523639854568459/257263362857824*c_1001_1^4 + 311606473472724571185575855/9904639470026224*c_1001_1^3 - 121537725410244889959039663/2829896991436064*c_1001_1^2 + 580462748103788130975936519/19809278940052448*c_1001_1 - 545832509902332818678630927/19809278940052448, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 65556549682/259338067397*c_1001_1^5 + 222755455842/259338067397*c_1001_1^4 - 121901063645/259338067397*c_1001_1^3 - 11607591686/259338067397*c_1001_1^2 - 48732224846/259338067397*c_1001_1 - 6892210341/259338067397, c_0011_6 + 94816370259/259338067397*c_1001_1^5 - 274558364895/259338067397*c_1001_1^4 + 301224023531/259338067397*c_1001_1^3 - 462162225975/259338067397*c_1001_1^2 + 208208445377/259338067397*c_1001_1 - 179069639779/259338067397, c_0011_7 - 23809586632/259338067397*c_1001_1^5 + 201554941654/259338067397*c_1001_1^4 - 366903744134/259338067397*c_1001_1^3 + 346017115164/259338067397*c_1001_1^2 - 196112053875/259338067397*c_1001_1 - 11699994395/259338067397, c_0011_9 + 14599485641/259338067397*c_1001_1^5 - 64327789538/259338067397*c_1001_1^4 + 20459023486/259338067397*c_1001_1^3 + 243674557209/259338067397*c_1001_1^2 - 181294349267/259338067397*c_1001_1 + 208538708212/259338067397, c_0101_0 - 1, c_0101_2 - 139746018204/259338067397*c_1001_1^5 + 448802060748/259338067397*c_1001_1^4 - 447966776788/259338067397*c_1001_1^3 + 316361725353/259338067397*c_1001_1^2 - 220242918995/259338067397*c_1001_1 - 5881576416/259338067397, c_0101_5 - 34328156603/259338067397*c_1001_1^5 + 124989443290/259338067397*c_1001_1^4 - 49948283401/259338067397*c_1001_1^3 + 29412723324/259338067397*c_1001_1^2 - 251081272659/259338067397*c_1001_1 - 92585832385/259338067397, c_0101_8 - 16628907438/259338067397*c_1001_1^5 + 33438223014/259338067397*c_1001_1^4 - 51493756758/259338067397*c_1001_1^3 + 202654242199/259338067397*c_1001_1^2 + 21054698546/259338067397*c_1001_1 + 34894262859/259338067397, c_0110_5 + 13701254866/259338067397*c_1001_1^5 - 76477683301/259338067397*c_1001_1^4 + 74789973013/259338067397*c_1001_1^3 + 104780185612/259338067397*c_1001_1^2 + 214383521431/259338067397*c_1001_1 + 11306770842/259338067397, c_0110_6 - 101997049453/259338067397*c_1001_1^5 + 442675083535/259338067397*c_1001_1^4 - 616634010907/259338067397*c_1001_1^3 + 605525098940/259338067397*c_1001_1^2 - 425375197798/259338067397*c_1001_1 + 132475382525/259338067397, c_1001_1^6 - 587/169*c_1001_1^5 + 808/169*c_1001_1^4 - 1103/169*c_1001_1^3 + 751/169*c_1001_1^2 - 707/169*c_1001_1 - 2/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB