Magma V2.19-8 Wed Aug 21 2013 00:59:23 on localhost [Seed = 408814410] Type ? for help. Type -D to quit. Loading file "L13n6836__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6836 geometric_solution 11.81741481 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 2 2 1 0 0 1 -1 0 -1 0 0 1 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 10 -11 1 -10 0 0 10 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363892955992 1.015662929776 0 4 5 0 0132 0132 0132 2031 1 2 0 1 0 0 -1 1 1 0 0 -1 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 10 0 0 -10 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442908756832 0.707186015034 4 4 5 0 0132 1230 1302 0132 2 2 0 1 0 -1 0 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 -11 0 11 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 0.363892955992 1.015662929776 6 7 0 8 0132 0132 0132 0132 2 2 2 1 0 0 0 0 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 0 -1 1 0 0 -10 10 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426043413678 0.532328183734 2 1 2 6 0132 0132 3012 2103 1 2 1 0 0 0 0 0 0 0 1 -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 0 11 -11 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687374303816 0.872570697733 2 9 10 1 2031 0132 0132 0132 1 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634323549017 0.616861833348 3 9 7 4 0132 3201 2103 2103 1 2 1 2 0 0 0 0 0 0 -1 1 -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 0 0 -11 11 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.363892955992 1.015662929776 6 3 11 10 2103 0132 0132 1302 2 2 1 2 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 11 0 0 -11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712651386383 1.157643244208 11 11 3 10 0132 0213 0132 1230 2 2 2 2 0 0 0 0 1 0 -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 1 -1 0 10 0 -10 0 -1 -10 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377937659794 1.346436580182 12 5 6 12 0132 0132 2310 2103 1 2 2 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 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 0.969939591863 0.861946719613 8 12 7 5 3012 2103 2031 0132 1 2 2 2 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.328278756056 1.038911255298 8 12 8 7 0132 1230 0213 0132 2 2 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 0 0 0 0 0 0 0 0 1 -1 0 -10 0 10 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 -0.746137052967 0.925416676562 9 10 11 9 0132 2103 3012 2103 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969939591863 0.861946719613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['c_0101_12']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_3'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0101_6, c_1001_1, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 132805793440779877/268843803170994688*c_1001_5^8 - 2140242525297490283/537687606341989376*c_1001_5^7 + 1485415994745833875/153625030383425536*c_1001_5^6 - 11406076799141701175/1075375212683978752*c_1001_5^5 + 1022550311005376579/307250060766851072*c_1001_5^4 + 60777924681053504381/8603001701471830016*c_1001_5^3 - 250610779105047696455/17206003402943660032*c_1001_5^2 + 61718978592524608497/4301500850735915008*c_1001_5 - 211463779448144757507/17206003402943660032, c_0011_0 - 1, c_0011_10 - 1849649043/33066882022*c_1001_5^8 + 12609930373/66133764044*c_1001_5^7 - 35213019867/132267528088*c_1001_5^6 + 29278141069/132267528088*c_1001_5^5 - 29519447123/264535056176*c_1001_5^4 + 4589172437/1058140224704*c_1001_5^3 - 971752151575/2116280449408*c_1001_5^2 + 28811434503/66133764044*c_1001_5 - 2276486033447/2116280449408, c_0011_12 - 961879536/16533441011*c_1001_5^8 + 1988753192/16533441011*c_1001_5^7 - 2206430572/16533441011*c_1001_5^6 + 1048498828/16533441011*c_1001_5^5 - 683920574/16533441011*c_1001_5^4 - 1596452543/33066882022*c_1001_5^3 - 13812715775/66133764044*c_1001_5^2 - 6955440695/33066882022*c_1001_5 - 30341859713/66133764044, c_0011_3 - 887070058/16533441011*c_1001_5^8 + 2859313539/16533441011*c_1001_5^7 - 7613799613/33066882022*c_1001_5^6 + 11031225283/33066882022*c_1001_5^5 - 21706431253/66133764044*c_1001_5^4 + 4830974595/264535056176*c_1001_5^3 + 8572171327/529070112352*c_1001_5^2 + 6318235891/66133764044*c_1001_5 - 240308950553/529070112352, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 5957143667/33066882022*c_1001_5^8 - 32965063461/66133764044*c_1001_5^7 + 81858225979/132267528088*c_1001_5^6 - 59613564909/132267528088*c_1001_5^5 + 49308827955/264535056176*c_1001_5^4 - 49019230965/1058140224704*c_1001_5^3 + 472529548023/2116280449408*c_1001_5^2 - 52696688325/66133764044*c_1001_5 + 2299527499335/2116280449408, c_0101_12 - 2683026255/33066882022*c_1001_5^8 + 14263919689/66133764044*c_1001_5^7 - 48580243159/132267528088*c_1001_5^6 + 54193253313/132267528088*c_1001_5^5 - 65362733775/264535056176*c_1001_5^4 + 70737205881/1058140224704*c_1001_5^3 - 113492332291/2116280449408*c_1001_5^2 + 33916005541/132267528088*c_1001_5 - 1380685689187/2116280449408, c_0101_5 + 961879536/16533441011*c_1001_5^8 - 1988753192/16533441011*c_1001_5^7 + 2206430572/16533441011*c_1001_5^6 - 1048498828/16533441011*c_1001_5^5 + 683920574/16533441011*c_1001_5^4 + 1596452543/33066882022*c_1001_5^3 + 13812715775/66133764044*c_1001_5^2 + 6955440695/33066882022*c_1001_5 - 35791904331/66133764044, c_0101_6 + 3040212055/33066882022*c_1001_5^8 - 20834467841/66133764044*c_1001_5^7 + 60763926815/132267528088*c_1001_5^6 - 51612969849/132267528088*c_1001_5^5 + 129414207319/264535056176*c_1001_5^4 - 270637464369/1058140224704*c_1001_5^3 + 426033102571/2116280449408*c_1001_5^2 - 45897931609/132267528088*c_1001_5 + 2042398272907/2116280449408, c_1001_1 - 961879536/16533441011*c_1001_5^8 + 1988753192/16533441011*c_1001_5^7 - 2206430572/16533441011*c_1001_5^6 + 1048498828/16533441011*c_1001_5^5 - 683920574/16533441011*c_1001_5^4 - 1596452543/33066882022*c_1001_5^3 - 13812715775/66133764044*c_1001_5^2 - 6955440695/33066882022*c_1001_5 + 35791904331/66133764044, c_1001_3 - 961879536/16533441011*c_1001_5^8 + 1988753192/16533441011*c_1001_5^7 - 2206430572/16533441011*c_1001_5^6 + 1048498828/16533441011*c_1001_5^5 - 683920574/16533441011*c_1001_5^4 - 1596452543/33066882022*c_1001_5^3 - 13812715775/66133764044*c_1001_5^2 - 6955440695/33066882022*c_1001_5 - 30341859713/66133764044, c_1001_5^9 - 5/2*c_1001_5^8 + 11/4*c_1001_5^7 - 3/2*c_1001_5^6 + 3/8*c_1001_5^5 + 13/32*c_1001_5^4 + 127/64*c_1001_5^3 - 243/64*c_1001_5^2 + 509/64*c_1001_5 + 349/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB