Magma V2.19-8 Tue Aug 20 2013 23:47:43 on localhost [Seed = 2446851008] Type ? for help. Type -D to quit. Loading file "L11n131__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n131 geometric_solution 10.93323530 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 -1 0 1 0 0 0 0 0 1 0 -1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522285086108 1.075988921287 0 5 7 6 0132 0132 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524659915887 0.601379042648 7 0 3 5 0132 0132 0213 0132 1 1 1 0 0 0 0 0 0 0 -1 1 -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 1 0 -1 1 0 -6 5 -6 6 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714117565246 0.553246787629 4 2 8 0 0213 0213 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 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 0 6 0 -6 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.239893487278 0.708054494767 3 9 0 8 0213 0132 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020895417181 0.766627394477 10 1 2 6 0132 0132 0132 0321 1 1 0 1 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 -1 1 0 0 0 -5 5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043892785834 0.769724690878 8 5 1 11 0321 0321 0132 0132 1 1 0 1 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 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511407764571 1.316618147290 2 11 10 1 0132 0132 0132 0132 1 1 0 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 -1 1 -1 0 1 0 1 -1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750995593759 1.017101328798 6 9 4 3 0321 0321 0132 0132 1 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 0 0 0 -0.142656677461 1.451289639169 10 4 11 8 2031 0132 2031 0321 1 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 -1 1 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647098199115 0.944130247158 5 11 9 7 0132 1023 1302 0132 1 1 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 0 0 0 0 0 -1 0 1 0 0 1 -1 -5 5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442107896948 0.340940110784 10 7 6 9 1023 0132 0132 1302 1 1 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 0 0 0 0 0 0 0 0 1 0 0 -1 -5 6 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184449430578 1.253244551435 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0110_11']), 'c_1010_11' : d['c_0110_11'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_4'], '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_1100_9' : negation(d['c_0110_11']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_5, c_0101_9, c_0110_11, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 12662313433852411903456683/1880890371442093*c_1100_0^10 + 9669551728898835761443515/3761780742884186*c_1100_0^9 + 73394474815729784826022191/1880890371442093*c_1100_0^8 - 112001639240687683960978393/3761780742884186*c_1100_0^7 + 223799197137999041509580154/1880890371442093*c_1100_0^6 - 207689965434334846286087692/1880890371442093*c_1100_0^5 + 5314112079061853599070501/26491413682283*c_1100_0^4 - 307641681592355383853088231/1880890371442093*c_1100_0^3 + 495415978972321970843040281/3761780742884186*c_1100_0^2 - 181387779940011622480268305/3761780742884186*c_1100_0 + 19342846209596667956009981/3761780742884186, c_0011_0 - 1, c_0011_3 + 133359888616029/3815193451201*c_1100_0^10 + 69824027453157/3815193451201*c_1100_0^9 + 784603088358684/3815193451201*c_1100_0^8 - 478534870553516/3815193451201*c_1100_0^7 + 2297825985868257/3815193451201*c_1100_0^6 - 170251102387632/346835768291*c_1100_0^5 + 52612067920961/53735119031*c_1100_0^4 - 2742852273139245/3815193451201*c_1100_0^3 + 2264565245703609/3815193451201*c_1100_0^2 - 673737176411808/3815193451201*c_1100_0 + 31409850002639/3815193451201, c_0011_4 + 107523893410875/3815193451201*c_1100_0^10 + 53853028520472/3815193451201*c_1100_0^9 + 629849857632735/3815193451201*c_1100_0^8 - 399392568328027/3815193451201*c_1100_0^7 + 1856274484235469/3815193451201*c_1100_0^6 - 1536203260080472/3815193451201*c_1100_0^5 + 42672129189026/53735119031*c_1100_0^4 - 2242680735752867/3815193451201*c_1100_0^3 + 1848568345208699/3815193451201*c_1100_0^2 - 546626094352670/3815193451201*c_1100_0 + 26275806085901/3815193451201, c_0011_8 + 42471751443750/3815193451201*c_1100_0^10 + 22553472417147/3815193451201*c_1100_0^9 + 249236788861950/3815193451201*c_1100_0^8 - 152043030567278/3815193451201*c_1100_0^7 + 724276819175076/3815193451201*c_1100_0^6 - 54122413448538/346835768291*c_1100_0^5 + 16478400637458/53735119031*c_1100_0^4 - 867950678430030/3815193451201*c_1100_0^3 + 698501777883402/3815193451201*c_1100_0^2 - 209121115251507/3815193451201*c_1100_0 + 4457189174418/3815193451201, c_0101_0 - 1, c_0101_5 + 16712530032978/3815193451201*c_1100_0^10 + 7638341962950/3815193451201*c_1100_0^9 + 96450745739043/3815193451201*c_1100_0^8 - 67382739670861/3815193451201*c_1100_0^7 + 284800417317378/3815193451201*c_1100_0^6 - 249866043758624/3815193451201*c_1100_0^5 + 598085979244/4885010821*c_1100_0^4 - 359090355632475/3815193451201*c_1100_0^3 + 286160321557243/3815193451201*c_1100_0^2 - 87221669438527/3815193451201*c_1100_0 + 3607628337900/3815193451201, c_0101_9 + 24397974714537/3815193451201*c_1100_0^10 + 11341054004022/3815193451201*c_1100_0^9 + 141086952473004/3815193451201*c_1100_0^8 - 96916119166827/3815193451201*c_1100_0^7 + 417570403177108/3815193451201*c_1100_0^6 - 358778089418000/3815193451201*c_1100_0^5 + 9662395351454/53735119031*c_1100_0^4 - 519176266911947/3815193451201*c_1100_0^3 + 416972622305178/3815193451201*c_1100_0^2 - 124250115474996/3815193451201*c_1100_0 + 5547119098322/3815193451201, c_0110_11 - 16892662448223/3815193451201*c_1100_0^10 - 8248044735306/3815193451201*c_1100_0^9 - 98175991752735/3815193451201*c_1100_0^8 + 64208183506124/3815193451201*c_1100_0^7 - 289709282726628/3815193451201*c_1100_0^6 + 240026054626869/3815193451201*c_1100_0^5 - 6670191571630/53735119031*c_1100_0^4 + 347546299654621/3815193451201*c_1100_0^3 - 283229060128101/3815193451201*c_1100_0^2 + 7172943689979/346835768291*c_1100_0 - 2743683765716/3815193451201, c_1001_0 - 1725862477284/346835768291*c_1100_0^10 - 11338929165285/3815193451201*c_1100_0^9 - 114031546327557/3815193451201*c_1100_0^8 + 58126622544063/3815193451201*c_1100_0^7 - 330939855831700/3815193451201*c_1100_0^6 + 245303321484875/3815193451201*c_1100_0^5 - 7450195816314/53735119031*c_1100_0^4 + 363798213844865/3815193451201*c_1100_0^3 - 28772657074112/346835768291*c_1100_0^2 + 85712875133024/3815193451201*c_1100_0 - 3374502458230/3815193451201, c_1001_1 - 35457984657/1852935139*c_1100_0^10 - 18377916984/1852935139*c_1100_0^9 - 208519383294/1852935139*c_1100_0^8 + 128607058770/1852935139*c_1100_0^7 - 610748588809/1852935139*c_1100_0^6 + 45811130678/168448649*c_1100_0^5 - 992717286738/1852935139*c_1100_0^4 + 738717959271/1852935139*c_1100_0^3 - 604278237633/1852935139*c_1100_0^2 + 186243498018/1852935139*c_1100_0 - 7508529189/1852935139, c_1001_2 - 97405965123300/3815193451201*c_1100_0^10 - 49181185074078/3815193451201*c_1100_0^9 - 570428362675350/3815193451201*c_1100_0^8 + 361718053174257/3815193451201*c_1100_0^7 - 1675101747534839/3815193451201*c_1100_0^6 + 1396354388144022/3815193451201*c_1100_0^5 - 38451196666856/53735119031*c_1100_0^4 + 2040196545050936/3815193451201*c_1100_0^3 - 1661181513591525/3815193451201*c_1100_0^2 + 503910284442857/3815193451201*c_1100_0 - 21007180698473/3815193451201, c_1100_0^11 + 1/3*c_1100_0^10 + 52/9*c_1100_0^9 - 127/27*c_1100_0^8 + 161/9*c_1100_0^7 - 466/27*c_1100_0^6 + 826/27*c_1100_0^5 - 695/27*c_1100_0^4 + 560/27*c_1100_0^3 - 73/9*c_1100_0^2 + 10/9*c_1100_0 - 1/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB