Magma V2.19-8 Wed Aug 21 2013 00:31:04 on localhost [Seed = 1427326441] Type ? for help. Type -D to quit. Loading file "K14n17978__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n17978 geometric_solution 11.22229469 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547377345501 0.641861044311 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575373531962 0.518445381355 0 0 8 7 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733761125699 1.040541558703 5 7 4 0 1023 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.353213206614 1.157415411182 6 1 3 9 0321 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411317678154 0.328714952941 10 3 1 10 0132 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713216544430 0.450886886608 4 8 11 1 0321 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.055762494615 0.806547392487 11 3 2 12 2310 0132 0132 0132 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 0 1 -1 1 0 -1 0 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365095289280 0.388680533320 12 9 6 2 1230 1023 3012 0132 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 0 0 0 0 0 0 0 0 15 -16 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164617135835 0.863912272844 8 11 4 12 1023 3012 0132 1230 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 0 -1 1 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221990537433 1.397148357341 5 5 10 10 0132 2310 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 1.561938550763 0.563485733824 9 12 7 6 1230 1302 3201 0132 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 16 0 -15 -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 0.870909309304 1.124911319572 9 8 7 11 3012 3012 0132 2031 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785990737728 0.844817610589 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : 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_0101_11'], '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' : 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_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_1001_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1001_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0011_12'], '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_1001_6']), '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' : 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' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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' : d['c_0011_8'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_11']), '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' : d['c_0011_12'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : negation(d['c_0011_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_0011_12, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 144514843/291375*c_1001_6^11 + 82073639/291375*c_1001_6^10 + 386702332/291375*c_1001_6^9 - 220170386/291375*c_1001_6^8 - 3053933168/291375*c_1001_6^7 + 1735804489/291375*c_1001_6^6 + 532298997/32375*c_1001_6^5 - 303560431/32375*c_1001_6^4 - 527442796/58275*c_1001_6^3 + 302838983/58275*c_1001_6^2 + 446358167/291375*c_1001_6 - 257782591/291375, c_0011_0 - 1, c_0011_10 - 19*c_1001_6^11 + 52*c_1001_6^9 - 404*c_1001_6^7 + 653*c_1001_6^5 - 373*c_1001_6^3 + 66*c_1001_6, c_0011_11 - 13*c_1001_6^10 + 35*c_1001_6^8 - 275*c_1001_6^6 + 435*c_1001_6^4 - 239*c_1001_6^2 + 40, c_0011_12 + 14*c_1001_6^10 - 37*c_1001_6^8 + 295*c_1001_6^6 - 455*c_1001_6^4 + 248*c_1001_6^2 - 42, c_0011_6 - 13*c_1001_6^10 + 35*c_1001_6^8 - 275*c_1001_6^6 + 435*c_1001_6^4 - 239*c_1001_6^2 - c_1001_6 + 40, c_0011_8 - 14*c_1001_6^10 + 37*c_1001_6^8 - 295*c_1001_6^6 + 455*c_1001_6^4 - 248*c_1001_6^2 + 42, c_0101_0 + c_1001_6^11 - 3*c_1001_6^9 + 22*c_1001_6^7 - 40*c_1001_6^5 + 29*c_1001_6^3 - 9*c_1001_6, c_0101_10 + 7*c_1001_6^11 - 20*c_1001_6^9 + 151*c_1001_6^7 - 258*c_1001_6^5 + 163*c_1001_6^3 - 34*c_1001_6, c_0101_11 - 19*c_1001_6^11 - 14*c_1001_6^10 + 52*c_1001_6^9 + 37*c_1001_6^8 - 404*c_1001_6^7 - 295*c_1001_6^6 + 653*c_1001_6^5 + 455*c_1001_6^4 - 373*c_1001_6^3 - 248*c_1001_6^2 + 66*c_1001_6 + 42, c_0101_3 - 21*c_1001_6^11 + 55*c_1001_6^9 - 441*c_1001_6^7 + 672*c_1001_6^5 - 352*c_1001_6^3 + 55*c_1001_6, c_0101_7 + 42*c_1001_6^11 + 13*c_1001_6^10 - 112*c_1001_6^9 - 35*c_1001_6^8 + 887*c_1001_6^7 + 275*c_1001_6^6 - 1385*c_1001_6^5 - 435*c_1001_6^4 + 763*c_1001_6^3 + 239*c_1001_6^2 - 129*c_1001_6 - 40, c_1001_0 + 13*c_1001_6^10 - 35*c_1001_6^8 + 275*c_1001_6^6 - 435*c_1001_6^4 + 239*c_1001_6^2 + c_1001_6 - 40, c_1001_6^12 - 3*c_1001_6^10 + 22*c_1001_6^8 - 40*c_1001_6^6 + 29*c_1001_6^4 - 9*c_1001_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.180 Total time: 4.389 seconds, Total memory usage: 64.12MB