Magma V2.19-8 Tue Aug 20 2013 23:29:34 on localhost [Seed = 2227364586] Type ? for help. Type -D to quit. Loading file "K12n502__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n502 geometric_solution 6.66361094 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 2 0132 0132 0132 1023 0 0 0 0 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 -1 15 -14 0 0 -1 1 0 0 0 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429381754939 0.512347651675 0 4 3 3 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 15 -15 0 0 0 0 -14 14 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023491256245 1.567439840768 5 0 4 0 0132 0132 0321 1023 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 1 0 -1 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761495956844 0.377278993256 6 1 1 0 0132 1230 0132 0132 0 0 0 0 0 0 -1 1 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 15 -15 -1 0 0 1 0 -14 0 14 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405314873203 1.481729480213 7 1 2 5 0132 0132 0321 1302 0 0 0 0 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 -15 14 0 1 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.561320098679 1.665885896494 2 7 4 6 0132 0132 2031 1023 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 -1 1 0 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397171720416 0.190890306985 3 7 7 5 0132 2310 1023 1023 0 0 0 0 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 0 0 0 1 0 0 -1 -15 0 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704665987637 1.215968889290 4 5 6 6 0132 0132 1023 3201 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 0 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720898028383 1.257574525746 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : 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_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : d['c_1001_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], '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_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_0'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 42683147968497102052457035/558598917366345907072*c_1001_3^9 + 72012855138650125261797643/139649729341586476768*c_1001_3^8 - 346811550125962978050036453/558598917366345907072*c_1001_3^7 + 373905864127328640179927249/279299458683172953536*c_1001_3^6 - 366621531291325904442756269/279299458683172953536*c_1001_3^5 + 455783264388904120531158435/558598917366345907072*c_1001_3^4 - 36754912969167102638697389/69824864670793238384*c_1001_3^3 + 30398402845718517227485405/279299458683172953536*c_1001_3^2 - 68520606623945235177533967/558598917366345907072*c_1001_3 - 8180375428650176169558283/558598917366345907072, c_0011_0 - 1, c_0011_3 + 2838069862244652945/623436291703511057*c_1001_3^9 - 19334265310509232015/623436291703511057*c_1001_3^8 + 24253124147077688446/623436291703511057*c_1001_3^7 - 50982452989273591016/623436291703511057*c_1001_3^6 + 51555819604722920530/623436291703511057*c_1001_3^5 - 32402524234371854183/623436291703511057*c_1001_3^4 + 20554668679593171087/623436291703511057*c_1001_3^3 - 4378645931995691308/623436291703511057*c_1001_3^2 + 4194701496874799803/623436291703511057*c_1001_3 + 245526858911677358/623436291703511057, c_0101_0 - 1311265270472152287/623436291703511057*c_1001_3^9 + 8684782997084266520/623436291703511057*c_1001_3^8 - 9597560229880051509/623436291703511057*c_1001_3^7 + 21912716874573626770/623436291703511057*c_1001_3^6 - 19532198496786153494/623436291703511057*c_1001_3^5 + 11535589032112767710/623436291703511057*c_1001_3^4 - 7223736060160117375/623436291703511057*c_1001_3^3 + 507728822111578881/623436291703511057*c_1001_3^2 - 1960895503180696342/623436291703511057*c_1001_3 - 317799777905013381/623436291703511057, c_0101_1 - 637891705070355559/623436291703511057*c_1001_3^9 + 4500715110811374518/623436291703511057*c_1001_3^8 - 6556016572869348531/623436291703511057*c_1001_3^7 + 13114959700663907952/623436291703511057*c_1001_3^6 - 14807034156596323533/623436291703511057*c_1001_3^5 + 11052574070402898883/623436291703511057*c_1001_3^4 - 7481761037898363325/623436291703511057*c_1001_3^3 + 2933850124959304734/623436291703511057*c_1001_3^2 - 2064368136361617299/623436291703511057*c_1001_3 - 148523071936259644/623436291703511057, c_0101_2 - 61170061237716913/623436291703511057*c_1001_3^9 + 606956573801046201/623436291703511057*c_1001_3^8 - 2059737738620250230/623436291703511057*c_1001_3^7 + 4425384909690499572/623436291703511057*c_1001_3^6 - 6882782595346570818/623436291703511057*c_1001_3^5 + 8232785293432059960/623436291703511057*c_1001_3^4 - 7064591828857070340/623436291703511057*c_1001_3^3 + 3771273674294491544/623436291703511057*c_1001_3^2 - 968622876422464519/623436291703511057*c_1001_3 + 346732848258567959/623436291703511057, c_0101_5 - 1726045151424854042/623436291703511057*c_1001_3^9 + 11735445220876809227/623436291703511057*c_1001_3^8 - 14746109586247293415/623436291703511057*c_1001_3^7 + 31907758210280382186/623436291703511057*c_1001_3^6 - 32656996189854218781/623436291703511057*c_1001_3^5 + 22835238814776443584/623436291703511057*c_1001_3^4 - 16093922629934614443/623436291703511057*c_1001_3^3 + 4954880841703667517/623436291703511057*c_1001_3^2 - 3937267164618129796/623436291703511057*c_1001_3 - 264326652437756704/623436291703511057, c_0101_7 - 3202946865116266687/623436291703511057*c_1001_3^9 + 21493099691351896531/623436291703511057*c_1001_3^8 - 25380982618936149024/623436291703511057*c_1001_3^7 + 56442943230448305239/623436291703511057*c_1001_3^6 - 54945472387002025885/623436291703511057*c_1001_3^5 + 35708226636727875464/623436291703511057*c_1001_3^4 - 25208326186869884242/623436291703511057*c_1001_3^3 + 6504894783201524541/623436291703511057*c_1001_3^2 - 6158687118123754333/623436291703511057*c_1001_3 - 281283793018174705/623436291703511057, c_1001_3^10 - 475/71*c_1001_3^9 + 549/71*c_1001_3^8 - 1211/71*c_1001_3^7 + 1148/71*c_1001_3^6 - 689/71*c_1001_3^5 + 447/71*c_1001_3^4 - 74/71*c_1001_3^3 + 109/71*c_1001_3^2 + 20/71*c_1001_3 + 1/71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB