Magma V2.19-8 Tue Aug 20 2013 23:39:43 on localhost [Seed = 38037061] Type ? for help. Type -D to quit. Loading file "K14n14859__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14859 geometric_solution 9.83622765 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 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 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 0.839362323287 0.710399165602 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 -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 1 -13 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602682251342 0.326780098867 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 1 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 0.302820595619 1.339184572736 5 7 9 0 0132 2103 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 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 0.670294552470 0.552858421946 10 1 9 8 0132 0132 3012 2031 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793399349197 0.344325785614 3 7 1 8 0132 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.991342742238 0.763220101286 10 8 9 1 1230 2031 3120 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 -1 1 0 -1 0 1 0 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679100444799 1.365007705271 10 3 2 5 3012 2103 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.112130579297 0.732314002874 6 4 5 2 1302 1302 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.282272299590 0.695260343077 10 4 6 3 2310 1230 3120 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 0.584601342203 1.092832557728 4 6 9 7 0132 3012 3201 1230 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 -1 1 0 0 0 0 0 1 0 -1 13 -12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619410507317 0.711460201520 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_6']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_1010_5']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_1010_5']), 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1010_5']), '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' : negation(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' : 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_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], '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' : negation(d['c_0101_6']), 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_6, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 672997/356900*c_1010_5^5 - 17252919/1784500*c_1010_5^4 + 18177993/892250*c_1010_5^3 - 44980683/1784500*c_1010_5^2 + 11195421/446125*c_1010_5 - 26939331/1784500, c_0011_0 - 1, c_0011_3 - 2270/3569*c_1010_5^5 + 8688/3569*c_1010_5^4 - 11794/3569*c_1010_5^3 + 10852/3569*c_1010_5^2 - 14236/3569*c_1010_5 + 3458/3569, c_0011_6 - 2790/3569*c_1010_5^5 + 11936/3569*c_1010_5^4 - 22467/3569*c_1010_5^3 + 25570/3569*c_1010_5^2 - 24698/3569*c_1010_5 + 13039/3569, c_0011_7 - 7850/3569*c_1010_5^5 + 32560/3569*c_1010_5^4 - 56728/3569*c_1010_5^3 + 61992/3569*c_1010_5^2 - 63632/3569*c_1010_5 + 29536/3569, c_0011_8 + 975/3569*c_1010_5^5 - 6090/3569*c_1010_5^4 + 13320/3569*c_1010_5^3 - 15997/3569*c_1010_5^2 + 15155/3569*c_1010_5 - 9488/3569, c_0011_9 + 1800/3569*c_1010_5^5 - 7125/3569*c_1010_5^4 + 11962/3569*c_1010_5^3 - 15806/3569*c_1010_5^2 + 17546/3569*c_1010_5 - 8182/3569, c_0101_0 - 2630/3569*c_1010_5^5 + 13682/3569*c_1010_5^4 - 29890/3569*c_1010_5^3 + 36141/3569*c_1010_5^2 - 36304/3569*c_1010_5 + 20798/3569, c_0101_10 + 5565/3569*c_1010_5^5 - 25151/3569*c_1010_5^4 + 47749/3569*c_1010_5^3 - 57373/3569*c_1010_5^2 + 57399/3569*c_1010_5 - 30709/3569, c_0101_2 - 2790/3569*c_1010_5^5 + 11936/3569*c_1010_5^4 - 22467/3569*c_1010_5^3 + 25570/3569*c_1010_5^2 - 24698/3569*c_1010_5 + 9470/3569, c_0101_6 + 3925/3569*c_1010_5^5 - 16280/3569*c_1010_5^4 + 28364/3569*c_1010_5^3 - 30996/3569*c_1010_5^2 + 31816/3569*c_1010_5 - 14768/3569, c_1010_5^6 - 27/5*c_1010_5^5 + 63/5*c_1010_5^4 - 89/5*c_1010_5^3 + 97/5*c_1010_5^2 - 73/5*c_1010_5 + 5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_6, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 27258253/172160*c_1010_5^9 + 11589271/172160*c_1010_5^8 - 50338949/172160*c_1010_5^7 - 105959917/86080*c_1010_5^6 - 44449399/86080*c_1010_5^5 - 16418613/86080*c_1010_5^4 + 9333775/17216*c_1010_5^3 + 35535879/34432*c_1010_5^2 + 49105859/86080*c_1010_5 + 68283199/172160, c_0011_0 - 1, c_0011_3 + 53/269*c_1010_5^9 - 127/269*c_1010_5^8 - 25/269*c_1010_5^7 - 103/269*c_1010_5^6 + 663/269*c_1010_5^5 - 533/269*c_1010_5^4 + 266/269*c_1010_5^3 + 125/269*c_1010_5^2 - 480/269*c_1010_5 + 249/269, c_0011_6 + 127/269*c_1010_5^9 - 81/269*c_1010_5^8 - 268/269*c_1010_5^7 - 663/269*c_1010_5^6 + 533/269*c_1010_5^5 - 54/269*c_1010_5^4 + 140/269*c_1010_5^3 + 802/269*c_1010_5^2 - 196/269*c_1010_5 + 216/269, c_0011_7 - 173/269*c_1010_5^9 - 93/269*c_1010_5^8 + 579/269*c_1010_5^7 + 1331/269*c_1010_5^6 + 64/269*c_1010_5^5 - 1407/269*c_1010_5^4 + 91/269*c_1010_5^3 - 743/269*c_1010_5^2 - 504/269*c_1010_5 + 517/269, c_0011_8 + 81/269*c_1010_5^9 + 14/269*c_1010_5^8 - 226/269*c_1010_5^7 - 533/269*c_1010_5^6 + 54/269*c_1010_5^5 + 368/269*c_1010_5^4 - 167/269*c_1010_5^3 + 323/269*c_1010_5^2 - 358/269*c_1010_5 - 127/269, c_0011_9 + 141/269*c_1010_5^9 - 145/269*c_1010_5^8 - 234/269*c_1010_5^7 - 609/269*c_1010_5^6 + 901/269*c_1010_5^5 - 545/269*c_1010_5^4 + 58/269*c_1010_5^3 + 363/269*c_1010_5^2 - 404/269*c_1010_5 + 297/269, c_0101_0 + c_1010_5, c_0101_10 - 141/269*c_1010_5^9 + 145/269*c_1010_5^8 + 234/269*c_1010_5^7 + 609/269*c_1010_5^6 - 901/269*c_1010_5^5 + 545/269*c_1010_5^4 - 58/269*c_1010_5^3 - 363/269*c_1010_5^2 + 404/269*c_1010_5 - 297/269, c_0101_2 + 1, c_0101_6 - 53/269*c_1010_5^9 + 127/269*c_1010_5^8 + 25/269*c_1010_5^7 + 103/269*c_1010_5^6 - 663/269*c_1010_5^5 + 533/269*c_1010_5^4 - 266/269*c_1010_5^3 - 125/269*c_1010_5^2 + 749/269*c_1010_5 - 249/269, c_1010_5^10 - 2*c_1010_5^8 - 7*c_1010_5^7 + 4*c_1010_5^4 + 5*c_1010_5^3 + c_1010_5^2 + c_1010_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB