Magma V2.19-8 Tue Aug 20 2013 23:53:12 on localhost [Seed = 324368633] Type ? for help. Type -D to quit. Loading file "L13n4849__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4849 geometric_solution 11.40698088 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 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 -1 0 1 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 0.847959707478 0.978023170135 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 1 -1 0 1 0 -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 0.493926100065 0.583697545499 6 7 6 0 0132 0132 2310 0132 1 1 1 1 0 0 1 -1 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 -2 2 0 0 1 -1 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603291548947 0.654296151025 8 7 0 9 0132 0321 0132 0132 1 1 1 0 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 -1 1 0 0 0 0 0 1 0 -1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218260393775 0.721686476233 10 1 11 9 0132 0132 0132 3120 1 1 0 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 -1 0 1 0 0 0 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562735070735 0.665518070941 6 11 1 11 2103 2103 0132 3120 1 1 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 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669059924772 0.699496401502 2 2 5 10 0132 3201 2103 2103 1 1 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 2 -2 0 0 0 0 0 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417334033154 0.973003898229 9 2 8 3 3201 0132 1230 0321 1 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 0 0 0 0 0 0 0 -3 0 0 3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804306057893 0.674071108353 3 10 11 7 0132 1230 3120 3012 1 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -2 2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270589122651 1.253435904110 4 10 3 7 3120 0132 0132 2310 1 1 0 1 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 2 -1 -1 0 0 0 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937670242779 0.690229135160 4 9 8 6 0132 0132 3012 2103 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625351628477 0.474072969000 5 5 8 4 3120 2103 3120 0132 1 1 1 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 2 -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 0.371302812741 0.619914955295 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(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' : negation(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_10' : d['1'], 's_2_11' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_2']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_11']), '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'], '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_0'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], '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_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_11, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2148111635883376/6545418785477*c_1001_2^7 + 3767560848089156/6545418785477*c_1001_2^6 + 221080907938703/503493752729*c_1001_2^5 - 29117051166885848/6545418785477*c_1001_2^4 - 63232944948038344/6545418785477*c_1001_2^3 + 23438977229616649/6545418785477*c_1001_2^2 - 944175636068986/6545418785477*c_1001_2 - 1674673718476985/6545418785477, c_0011_0 - 1, c_0011_11 + 140041145424/308592945221*c_1001_2^7 - 297703862396/308592945221*c_1001_2^6 - 102823014133/308592945221*c_1001_2^5 + 1988981921463/308592945221*c_1001_2^4 + 3417827819526/308592945221*c_1001_2^3 - 3189590847647/308592945221*c_1001_2^2 + 354063541102/308592945221*c_1001_2 + 95011665539/308592945221, c_0011_2 - 401211047904/308592945221*c_1001_2^7 + 754351072744/308592945221*c_1001_2^6 + 422832136558/308592945221*c_1001_2^5 - 5457360649622/308592945221*c_1001_2^4 - 11122593955463/308592945221*c_1001_2^3 + 5553338585129/308592945221*c_1001_2^2 - 1458739444265/308592945221*c_1001_2 - 144546303034/308592945221, c_0011_3 - 101063044736/28053904111*c_1001_2^7 + 188156756512/28053904111*c_1001_2^6 + 113652061992/28053904111*c_1001_2^5 - 1380399481760/28053904111*c_1001_2^4 - 2822515305955/28053904111*c_1001_2^3 + 1387341784166/28053904111*c_1001_2^2 - 225847354464/28053904111*c_1001_2 - 60917423578/28053904111, c_0011_5 - 322051462896/308592945221*c_1001_2^7 + 577333755380/308592945221*c_1001_2^6 + 394098593007/308592945221*c_1001_2^5 - 4362168299897/308592945221*c_1001_2^4 - 9255892806749/308592945221*c_1001_2^3 + 3650229330448/308592945221*c_1001_2^2 - 859372781368/308592945221*c_1001_2 - 208126466136/308592945221, c_0101_0 - 1, c_0101_1 + 972503902448/308592945221*c_1001_2^7 - 1889525654980/308592945221*c_1001_2^6 - 928117067219/308592945221*c_1001_2^5 + 13334020874894/308592945221*c_1001_2^4 + 26092689065110/308592945221*c_1001_2^3 - 15360160037515/308592945221*c_1001_2^2 + 3741799957026/308592945221*c_1001_2 + 325426832222/308592945221, c_0101_10 - 629890052144/308592945221*c_1001_2^7 + 1272253847652/308592945221*c_1001_2^6 + 474552402611/308592945221*c_1001_2^5 - 8637079773833/308592945221*c_1001_2^4 - 16176389540902/308592945221*c_1001_2^3 + 10812405508516/308592945221*c_1001_2^2 - 4396243489593/308592945221*c_1001_2 + 105550311100/308592945221, c_0101_11 - 27844496032/308592945221*c_1001_2^7 + 16230438088/308592945221*c_1001_2^6 + 84002367054/308592945221*c_1001_2^5 - 318360622739/308592945221*c_1001_2^4 - 1251656943897/308592945221*c_1001_2^3 - 726808713404/308592945221*c_1001_2^2 + 82017502260/308592945221*c_1001_2 + 209315450600/308592945221, c_0101_4 - 106288075504/308592945221*c_1001_2^7 + 104387778372/308592945221*c_1001_2^6 + 280857235379/308592945221*c_1001_2^5 - 1328245182030/308592945221*c_1001_2^4 - 4225714510142/308592945221*c_1001_2^3 - 1349984390438/308592945221*c_1001_2^2 + 808472091840/308592945221*c_1001_2 + 26276354210/308592945221, c_0101_8 + 355529467152/308592945221*c_1001_2^7 - 662228605228/308592945221*c_1001_2^6 - 392043573033/308592945221*c_1001_2^5 + 4842737107405/308592945221*c_1001_2^4 + 9939916813040/308592945221*c_1001_2^3 - 4806607731500/308592945221*c_1001_2^2 + 1232401529995/308592945221*c_1001_2 + 255070654063/308592945221, c_1001_2^8 - 7/4*c_1001_2^7 - 21/16*c_1001_2^6 + 27/2*c_1001_2^5 + 471/16*c_1001_2^4 - 83/8*c_1001_2^3 + 23/16*c_1001_2^2 + 11/16*c_1001_2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB