Magma V2.19-8 Tue Aug 20 2013 23:53:34 on localhost [Seed = 2244210299] Type ? for help. Type -D to quit. Loading file "L13n6573__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6573 geometric_solution 10.84801330 oriented_manifold CS_known 0.0000000000000001 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 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 0 0 0 0 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554948106307 0.674048457190 0 5 7 6 0132 0132 0132 0132 0 0 1 1 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 2 -2 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842146634742 0.651879511278 3 0 9 8 1023 0132 0132 0132 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 1 0 -1 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196084507940 1.423954557368 10 2 7 0 0132 1023 3012 0132 0 0 1 1 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 -1 0 1 2 0 -2 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 0.416411084892 0.271391618561 11 5 0 6 0132 0213 0132 0213 0 0 0 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 0 0 0 0 0 0 0 0 -1 -1 2 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 0.720373964968 0.839866797585 10 1 4 8 1023 0132 0213 2031 0 0 1 1 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 0 1 -1 0 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 0.985302396431 1.284560307662 10 9 1 4 2103 0132 0132 0213 0 0 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 0 2 -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 0 0 0 0 0.766569965560 0.713525759449 11 3 9 1 3120 1230 3120 0132 0 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 0 0 0 0 0 0 0 0 2 0 -2 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 0.581956087920 0.497815401976 10 5 2 11 3012 1302 0132 0132 0 0 0 1 0 0 0 0 0 0 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 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083541527092 0.584087759783 11 6 7 2 1023 0132 3120 0132 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 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 0.083541527092 0.584087759783 3 5 6 8 0132 1023 2103 1230 0 0 1 1 0 0 0 0 1 0 0 -1 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 -2 0 1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027949301332 0.929406940200 4 9 8 7 0132 1023 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861443400445 0.972351697034 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : negation(d['1']), 's_0_11' : 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_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_9'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_11'])})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0101_9, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 32710055524/2618884983*c_1001_7^8 - 27979176241/872961661*c_1001_7^7 - 133368815/238080453*c_1001_7^6 + 264674246862/872961661*c_1001_7^5 + 1217597475052/2618884983*c_1001_7^4 + 207545580035/201452691*c_1001_7^3 + 197586197420/2618884983*c_1001_7^2 + 183091072103/872961661*c_1001_7 - 1776436934599/2618884983, c_0011_0 - 1, c_0011_11 - 604399/6104627*c_1001_7^8 + 3140579/6104627*c_1001_7^7 - 5062353/6104627*c_1001_7^6 - 14040428/6104627*c_1001_7^5 + 24507585/6104627*c_1001_7^4 - 23929094/6104627*c_1001_7^3 + 36993443/6104627*c_1001_7^2 - 49041594/6104627*c_1001_7 + 14823880/6104627, c_0011_7 + 332095/6104627*c_1001_7^8 - 770374/6104627*c_1001_7^7 - 145508/6104627*c_1001_7^6 + 7897494/6104627*c_1001_7^5 + 14205474/6104627*c_1001_7^4 + 32904687/6104627*c_1001_7^3 + 11684580/6104627*c_1001_7^2 + 16865920/6104627*c_1001_7 - 14803281/6104627, c_0011_8 + 96899/6104627*c_1001_7^8 - 387959/6104627*c_1001_7^7 + 705992/6104627*c_1001_7^6 + 1246757/6104627*c_1001_7^5 + 217481/6104627*c_1001_7^4 + 13576308/6104627*c_1001_7^3 - 4982031/6104627*c_1001_7^2 + 10633414/6104627*c_1001_7 - 12838404/6104627, c_0101_0 - 1, c_0101_1 + 144307/6104627*c_1001_7^8 - 1553511/6104627*c_1001_7^7 + 3360598/6104627*c_1001_7^6 + 4283680/6104627*c_1001_7^5 - 29620597/6104627*c_1001_7^4 - 19033168/6104627*c_1001_7^3 - 41063081/6104627*c_1001_7^2 + 14507351/6104627*c_1001_7 + 9621631/6104627, c_0101_11 - 701038/6104627*c_1001_7^8 + 2932904/6104627*c_1001_7^7 - 3127952/6104627*c_1001_7^6 - 18149264/6104627*c_1001_7^5 + 8141735/6104627*c_1001_7^4 - 26459805/6104627*c_1001_7^3 + 31085741/6104627*c_1001_7^2 - 28120572/6104627*c_1001_7 + 10482666/6104627, c_0101_7 + 635526/6104627*c_1001_7^8 - 1804362/6104627*c_1001_7^7 - 334357/6104627*c_1001_7^6 + 18395618/6104627*c_1001_7^5 + 17515042/6104627*c_1001_7^4 + 23544196/6104627*c_1001_7^3 - 3015770/6104627*c_1001_7^2 - 5958266/6104627*c_1001_7 + 1623756/6104627, c_0101_8 + 741710/6104627*c_1001_7^8 - 2097133/6104627*c_1001_7^7 - 74984/6104627*c_1001_7^6 + 20390013/6104627*c_1001_7^5 + 20402004/6104627*c_1001_7^4 + 39118688/6104627*c_1001_7^3 - 2551495/6104627*c_1001_7^2 + 4994128/6104627*c_1001_7 - 8862290/6104627, c_0101_9 - 788755/6104627*c_1001_7^8 + 3041551/6104627*c_1001_7^7 - 2109896/6104627*c_1001_7^6 - 22468699/6104627*c_1001_7^5 + 1940720/6104627*c_1001_7^4 - 16750772/6104627*c_1001_7^3 + 34628445/6104627*c_1001_7^2 - 4822004/6104627*c_1001_7 + 500346/6104627, c_1001_2 - 260/6104627*c_1001_7^8 + 595634/6104627*c_1001_7^7 - 2640393/6104627*c_1001_7^6 + 2862079/6104627*c_1001_7^5 + 16148369/6104627*c_1001_7^4 - 11045597/6104627*c_1001_7^3 + 10889733/6104627*c_1001_7^2 - 37659063/6104627*c_1001_7 + 17179618/6104627, c_1001_7^9 - 3*c_1001_7^8 + c_1001_7^7 + 25*c_1001_7^6 + 25*c_1001_7^5 + 65*c_1001_7^4 - 17*c_1001_7^3 + 17*c_1001_7^2 - 44*c_1001_7 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB