Magma V2.19-8 Tue Aug 20 2013 23:56:20 on localhost [Seed = 2295259289] Type ? for help. Type -D to quit. Loading file "L14n17596__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17596 geometric_solution 11.38806287 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 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 -1 2 -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 0.142780015384 1.755731886083 0 4 2 5 0132 1023 0132 0132 0 0 1 1 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 1 -1 0 0 -2 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 0.400044470528 1.076543704911 3 0 6 1 1023 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 0 -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 1 0 -1 -2 0 0 2 -1 0 0 1 16 -1 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400044470528 1.076543704911 4 2 7 0 1023 1023 0132 0132 0 0 1 1 0 -1 0 1 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 2 0 -2 0 0 0 0 -1 1 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248838809129 0.607024394868 1 3 0 8 1023 1023 0132 0132 0 0 1 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 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 0.248838809129 0.607024394868 8 9 1 10 1023 0132 0132 0132 0 0 1 1 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 -1 1 0 1 0 -2 1 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917035705706 0.894556428236 10 7 9 2 1023 1023 1023 0132 0 0 1 1 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 0 0 0 0 0 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 0.917035705706 0.894556428236 6 11 8 3 1023 0132 0132 0132 0 0 1 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 0 0 0 0 0 16 0 -16 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400044470528 1.076543704911 11 5 4 7 0132 1023 0132 0132 0 0 1 1 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 0 0 0 0 0 -16 15 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400044470528 1.076543704911 10 5 6 11 0132 0132 1023 1023 0 0 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 1 0 -1 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 0.548880266592 0.453389251518 9 6 5 11 0132 1023 0132 0132 0 0 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 -1 1 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548880266592 0.453389251518 8 7 10 9 0132 0132 0132 1023 0 0 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 0 0 -1 1 1 -1 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547555971127 0.728663670577 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : 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_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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1100_0'], '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'], '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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], '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_0101_8'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_11'], '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_1'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 423/35*c_1100_1^3 - 282/5*c_1100_1^2 - 1448/35*c_1100_1 - 751/35, c_0011_0 - 1, c_0011_10 + 3/7*c_1100_1^3 - 2*c_1100_1^2 - 13/7*c_1100_1 - 2/7, c_0101_0 - 1, c_0101_1 - 1/7*c_1100_1^3 + c_1100_1^2 - 5/7*c_1100_1 - 4/7, c_0101_10 + 1/7*c_1100_1^3 - c_1100_1^2 + 12/7*c_1100_1 + 4/7, c_0101_11 + 4/7*c_1100_1^3 - 3*c_1100_1^2 - 8/7*c_1100_1 + 2/7, c_0101_2 + 1, c_0101_3 - 1/7*c_1100_1^3 + c_1100_1^2 - 5/7*c_1100_1 + 3/7, c_0101_6 + 4/7*c_1100_1^3 - 3*c_1100_1^2 - 1/7*c_1100_1 + 2/7, c_0101_8 + 1/7*c_1100_1^3 - c_1100_1^2 + 5/7*c_1100_1 - 3/7, c_1100_0 - 1/7*c_1100_1^3 + c_1100_1^2 + 2/7*c_1100_1 + 3/7, c_1100_1^4 - 5*c_1100_1^3 - 2*c_1100_1^2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 680866708717241/2249880392512*c_1100_1^8 + 6038590470830623/1124940196256*c_1100_1^7 + 30417441945778287/1124940196256*c_1100_1^6 - 496779589579237/1124940196256*c_1100_1^5 - 123208665696515131/562470098128*c_1100_1^4 + 5351815903051249/140617524532*c_1100_1^3 - 587828336892421/3800473636*c_1100_1^2 - 40700699309020097/562470098128*c_1100_1 + 10299989418470011/562470098128, c_0011_0 - 1, c_0011_10 + 785676453/70308762266*c_1100_1^8 + 13841990879/70308762266*c_1100_1^7 + 137009167855/140617524532*c_1100_1^6 - 4957271625/35154381133*c_1100_1^5 - 284837625235/35154381133*c_1100_1^4 + 85947700028/35154381133*c_1100_1^3 - 10435253991/1900236818*c_1100_1^2 - 74969034948/35154381133*c_1100_1 + 4846709590/35154381133, c_0101_0 - 1, c_0101_1 + 939793165/140617524532*c_1100_1^8 + 8574705515/70308762266*c_1100_1^7 + 46283644659/70308762266*c_1100_1^6 + 21614894069/70308762266*c_1100_1^5 - 167765350817/35154381133*c_1100_1^4 - 56824099715/35154381133*c_1100_1^3 - 3549529866/950118409*c_1100_1^2 - 132522094034/35154381133*c_1100_1 - 11221890230/35154381133, c_0101_10 - 99116083/35154381133*c_1100_1^8 - 6491873233/140617524532*c_1100_1^7 - 12978051975/70308762266*c_1100_1^6 + 23400028757/70308762266*c_1100_1^5 + 137917619827/70308762266*c_1100_1^4 - 221410609793/70308762266*c_1100_1^3 + 2455562126/950118409*c_1100_1^2 - 24334522411/35154381133*c_1100_1 - 25908850273/35154381133, c_0101_11 - 99116083/35154381133*c_1100_1^8 - 6491873233/140617524532*c_1100_1^7 - 12978051975/70308762266*c_1100_1^6 + 23400028757/70308762266*c_1100_1^5 + 137917619827/70308762266*c_1100_1^4 - 221410609793/70308762266*c_1100_1^3 + 2455562126/950118409*c_1100_1^2 - 24334522411/35154381133*c_1100_1 - 25908850273/35154381133, c_0101_2 - 36362925/70308762266*c_1100_1^8 - 306689543/35154381133*c_1100_1^7 - 1312966486/35154381133*c_1100_1^6 + 1964050808/35154381133*c_1100_1^5 + 16045441774/35154381133*c_1100_1^4 - 9803428825/35154381133*c_1100_1^3 - 104585425/950118409*c_1100_1^2 - 35763733661/35154381133*c_1100_1 - 22917520131/35154381133, c_0101_3 - 1, c_0101_6 - 275904445/140617524532*c_1100_1^8 - 1198264220/35154381133*c_1100_1^7 - 11514576111/70308762266*c_1100_1^6 + 3465168129/70308762266*c_1100_1^5 + 48064425984/35154381133*c_1100_1^4 - 17836088225/35154381133*c_1100_1^3 + 1830575066/950118409*c_1100_1^2 - 37267052127/35154381133*c_1100_1 - 21589742691/35154381133, c_0101_8 - 36362925/70308762266*c_1100_1^8 - 306689543/35154381133*c_1100_1^7 - 1312966486/35154381133*c_1100_1^6 + 1964050808/35154381133*c_1100_1^5 + 16045441774/35154381133*c_1100_1^4 - 9803428825/35154381133*c_1100_1^3 - 104585425/950118409*c_1100_1^2 - 35763733661/35154381133*c_1100_1 - 22917520131/35154381133, c_1100_0 - 1012519015/140617524532*c_1100_1^8 - 9188084601/70308762266*c_1100_1^7 - 48909577631/70308762266*c_1100_1^6 - 17686792453/70308762266*c_1100_1^5 + 183810792591/35154381133*c_1100_1^4 + 47020670890/35154381133*c_1100_1^3 + 3444944441/950118409*c_1100_1^2 + 96758360373/35154381133*c_1100_1 - 11695629901/35154381133, c_1100_1^9 + 18*c_1100_1^8 + 94*c_1100_1^7 + 22*c_1100_1^6 - 724*c_1100_1^5 - 64*c_1100_1^4 - 480*c_1100_1^3 - 372*c_1100_1^2 - 4*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB