Magma V2.19-8 Tue Aug 20 2013 23:41:50 on localhost [Seed = 2134449091] Type ? for help. Type -D to quit. Loading file "L12n23__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n23 geometric_solution 9.66534642 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827948983932 1.170226913279 0 0 5 4 0132 1302 0132 0132 0 0 1 1 0 0 0 0 -1 0 -2 3 0 0 0 0 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 -2 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597091500482 0.569472731865 6 0 6 3 0132 0132 3012 0132 1 0 1 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 0 0 0 0 1 -1 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427267043544 0.426602073338 7 8 2 0 0132 0132 0132 0132 1 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 1 0 -1 0 0 1 -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 0.194183000965 1.138945463729 9 7 1 10 0132 0132 0132 0132 0 0 1 1 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 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 1.003052806691 1.013032789049 8 8 9 1 2103 1302 1023 0132 0 0 1 1 0 0 0 0 -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 0 0 0 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 0.223937370015 0.496824246181 2 2 7 10 0132 1230 0132 1023 0 0 1 1 0 1 0 -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 -1 0 1 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122978562788 0.836454368132 3 4 9 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501044946343 0.359602959157 10 3 5 5 0132 0132 2103 2031 1 0 1 1 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 0 0 0 0 0 0 0 0 -1 1 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 0.223937370015 0.496824246181 4 10 5 7 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.581177358303 1.419453819881 8 9 4 6 0132 0132 0132 1023 0 0 1 1 0 0 0 0 2 0 -3 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 0 2 -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 -0.015914142180 0.849981088016 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0011_5'], '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_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_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_1100_1']), 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0011_5'], '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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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_10'], 'c_0101_8' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_10'], '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_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], '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 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_10, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 70979847996161/9522259402*c_1100_1^7 - 185693883883826/4761129701*c_1100_1^6 - 366594271816489/4761129701*c_1100_1^5 - 673645336528015/9522259402*c_1100_1^4 - 308846492123675/9522259402*c_1100_1^3 - 42247331422254/4761129701*c_1100_1^2 - 19954192580537/9522259402*c_1100_1 - 1931287871643/9522259402, c_0011_0 - 1, c_0011_10 + 16365335883/43680089*c_1100_1^7 + 76083209422/43680089*c_1100_1^6 + 126440740627/43680089*c_1100_1^5 + 89521339758/43680089*c_1100_1^4 + 31546963827/43680089*c_1100_1^3 + 9225772510/43680089*c_1100_1^2 + 1835719472/43680089*c_1100_1 + 174540186/43680089, c_0011_5 - 11539870433/43680089*c_1100_1^7 - 53041357698/43680089*c_1100_1^6 - 85826304466/43680089*c_1100_1^5 - 56331326108/43680089*c_1100_1^4 - 16037727151/43680089*c_1100_1^3 - 3992145620/43680089*c_1100_1^2 - 831817585/43680089*c_1100_1 - 59187742/43680089, c_0101_0 - 1, c_0101_1 + 5227712490/43680089*c_1100_1^7 + 22849942595/43680089*c_1100_1^6 + 33901206566/43680089*c_1100_1^5 + 18526388487/43680089*c_1100_1^4 + 3758054389/43680089*c_1100_1^3 + 981118767/43680089*c_1100_1^2 + 22379235/43680089*c_1100_1 - 6456278/43680089, c_0101_10 + 16767582923/43680089*c_1100_1^7 + 75891300293/43680089*c_1100_1^6 + 119727511032/43680089*c_1100_1^5 + 74857714595/43680089*c_1100_1^4 + 19795781540/43680089*c_1100_1^3 + 4973264387/43680089*c_1100_1^2 + 854196820/43680089*c_1100_1 + 52731464/43680089, c_0101_2 + 30475176810/43680089*c_1100_1^7 + 139838562911/43680089*c_1100_1^6 + 226593037596/43680089*c_1100_1^5 + 151190115248/43680089*c_1100_1^4 + 46667267475/43680089*c_1100_1^3 + 12365140666/43680089*c_1100_1^2 + 2168263344/43680089*c_1100_1 + 183362475/43680089, c_0101_3 - 27732559803/43680089*c_1100_1^7 - 126034179112/43680089*c_1100_1^6 - 201001371268/43680089*c_1100_1^5 - 130436562816/43680089*c_1100_1^4 - 39586557640/43680089*c_1100_1^3 - 11327232242/43680089*c_1100_1^2 - 1898159340/43680089*c_1100_1 - 221816184/43680089, c_1001_10 + 17468983792/43680089*c_1100_1^7 + 80159921484/43680089*c_1100_1^6 + 129801322686/43680089*c_1100_1^5 + 86384953610/43680089*c_1100_1^4 + 26454802657/43680089*c_1100_1^3 + 6938137113/43680089*c_1100_1^2 + 1224447935/43680089*c_1100_1 + 86526168/43680089, c_1001_4 - 4658500210/43680089*c_1100_1^7 - 20721363460/43680089*c_1100_1^6 - 31730366079/43680089*c_1100_1^5 - 18814279518/43680089*c_1100_1^4 - 4987031971/43680089*c_1100_1^3 - 1677438135/43680089*c_1100_1^2 - 229387849/43680089*c_1100_1 - 52579936/43680089, c_1100_1^8 + 920/169*c_1100_1^7 + 1922/169*c_1100_1^6 + 148/13*c_1100_1^5 + 995/169*c_1100_1^4 + 304/169*c_1100_1^3 + 75/169*c_1100_1^2 + 12/169*c_1100_1 + 1/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB