Magma V2.19-8 Tue Aug 20 2013 17:56:04 on localhost [Seed = 2033766079] Type ? for help. Type -D to quit. Loading file "11_249__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_249 geometric_solution 8.68998638 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.444602779142 0.821615788207 0 5 6 6 0132 0132 0213 0132 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 -1 1 0 0 0 0 0 -1 0 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284114285120 0.866301329693 3 0 4 6 1023 0132 2031 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.370186512916 0.516968490102 5 2 7 0 0132 1023 0132 0132 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056336493755 0.882266300742 8 7 0 2 0132 3012 0132 1302 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724778880255 0.684269776696 3 1 9 8 0132 0132 0132 0321 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 1 0 -1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040181720365 0.753108336381 9 1 1 2 0132 0213 0132 2103 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 -1 0 1 0 0 0 0 -1 0 0 1 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566827015806 0.685923726779 4 8 9 3 1230 0213 0321 0132 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 1 0 -1 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584417627617 0.357454646715 4 5 7 9 0132 0321 0213 0321 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 1 -1 0 0 0 -1 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284305333760 0.585605036702 6 8 7 5 0132 0321 0321 0132 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 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152411828861 1.156511481899 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_7'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_7'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_7'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : 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_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' : negation(d['1']), 's_1_4' : 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' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_7'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_2, c_0101_7, c_0110_2, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 86539464875587229/1506789900457646*c_1001_7^14 + 688915442212842269/753394950228823*c_1001_7^13 + 2164307883526803080/753394950228823*c_1001_7^12 + 30615179462962713/51958272429574*c_1001_7^11 - 18005167207795429405/1506789900457646*c_1001_7^10 - 1541348255524170036/107627850032689*c_1001_7^9 + 11456727296942559521/753394950228823*c_1001_7^8 + 24750854366048740302/753394950228823*c_1001_7^7 + 1781731719116990559/1506789900457646*c_1001_7^6 - 39624419198728601907/1506789900457646*c_1001_7^5 - 21151421806214563575/1506789900457646*c_1001_7^4 + 2770543847033955535/753394950228823*c_1001_7^3 + 488095723636820709/79304731603034*c_1001_7^2 + 4022137243886067487/1506789900457646*c_1001_7 + 746653883459519907/1506789900457646, c_0011_0 - 1, c_0011_4 + 95499774051/3986364311*c_1001_7^14 + 1464202430283/3986364311*c_1001_7^13 + 3891551593055/3986364311*c_1001_7^12 - 1657385273097/3986364311*c_1001_7^11 - 19839721942370/3986364311*c_1001_7^10 - 11850792332013/3986364311*c_1001_7^9 + 36904557091943/3986364311*c_1001_7^8 + 36154782839389/3986364311*c_1001_7^7 - 27550009097141/3986364311*c_1001_7^6 - 36779709784662/3986364311*c_1001_7^5 + 3821237650942/3986364311*c_1001_7^4 + 13039870820998/3986364311*c_1001_7^3 + 2424264698313/3986364311*c_1001_7^2 - 208001327239/3986364311*c_1001_7 + 143767477291/3986364311, c_0011_6 + 106900232106/3986364311*c_1001_7^14 + 1633771739003/3986364311*c_1001_7^13 + 4279650404630/3986364311*c_1001_7^12 - 2015448695329/3986364311*c_1001_7^11 - 22010138899110/3986364311*c_1001_7^10 - 12322807503846/3986364311*c_1001_7^9 + 41320725511169/3986364311*c_1001_7^8 + 38489033821934/3986364311*c_1001_7^7 - 31460177441512/3986364311*c_1001_7^6 - 39331551986596/3986364311*c_1001_7^5 + 5006683524085/3986364311*c_1001_7^4 + 13969831773659/3986364311*c_1001_7^3 + 2456952431057/3986364311*c_1001_7^2 - 211994003163/3986364311*c_1001_7 + 151832063531/3986364311, c_0011_7 + c_1001_7, c_0101_0 + 149150885681/3986364311*c_1001_7^14 + 2281914856607/3986364311*c_1001_7^13 + 6007744906796/3986364311*c_1001_7^12 - 2719747334121/3986364311*c_1001_7^11 - 30755782706165/3986364311*c_1001_7^10 - 17647778459039/3986364311*c_1001_7^9 + 57443486498792/3986364311*c_1001_7^8 + 54523785852888/3986364311*c_1001_7^7 - 43277859398534/3986364311*c_1001_7^6 - 55499152678197/3986364311*c_1001_7^5 + 6452817776567/3986364311*c_1001_7^4 + 19648261922420/3986364311*c_1001_7^3 + 3570417817530/3986364311*c_1001_7^2 - 299925240058/3986364311*c_1001_7 + 213535458143/3986364311, c_0101_2 + 33521387531/3986364311*c_1001_7^14 + 506986919593/3986364311*c_1001_7^13 + 1264428116926/3986364311*c_1001_7^12 - 789666363802/3986364311*c_1001_7^11 - 6690013159269/3986364311*c_1001_7^10 - 2926108781821/3986364311*c_1001_7^9 + 12893067285276/3986364311*c_1001_7^8 + 10077325546306/3986364311*c_1001_7^7 - 10314717505840/3986364311*c_1001_7^6 - 10463366733423/3986364311*c_1001_7^5 + 2114488801917/3986364311*c_1001_7^4 + 3733056520400/3986364311*c_1001_7^3 + 587991729798/3986364311*c_1001_7^2 - 43041882746/3986364311*c_1001_7 + 34738689293/3986364311, c_0101_7 - 92288841565/3986364311*c_1001_7^14 - 1413466693277/3986364311*c_1001_7^13 - 3738944621240/3986364311*c_1001_7^12 + 1644409081565/3986364311*c_1001_7^11 + 19116979197724/3986364311*c_1001_7^10 + 11213673901510/3986364311*c_1001_7^9 - 35632536274544/3986364311*c_1001_7^8 - 34475959665559/3986364311*c_1001_7^7 + 26675050235068/3986364311*c_1001_7^6 + 35164101683785/3986364311*c_1001_7^5 - 3731576131874/3986364311*c_1001_7^4 - 12507308626628/3986364311*c_1001_7^3 - 2339758313633/3986364311*c_1001_7^2 + 206368841706/3986364311*c_1001_7 - 136047859452/3986364311, c_0110_2 + 106692578549/3986364311*c_1001_7^14 + 1639314262512/3986364311*c_1001_7^13 + 4400093899663/3986364311*c_1001_7^12 - 1727295316700/3986364311*c_1001_7^11 - 22260055999591/3986364311*c_1001_7^10 - 13893999587238/3986364311*c_1001_7^9 + 41057850532604/3986364311*c_1001_7^8 + 41685390619611/3986364311*c_1001_7^7 - 30120586543042/3986364311*c_1001_7^6 - 42232844138078/3986364311*c_1001_7^5 + 3672212204175/3986364311*c_1001_7^4 + 14974166488021/3986364311*c_1001_7^3 + 2868414597856/3986364311*c_1001_7^2 - 264301732560/3986364311*c_1001_7 + 164874725553/3986364311, c_1001_1 - 68450309547/3986364311*c_1001_7^14 - 1054329322994/3986364311*c_1001_7^13 - 2860785849520/3986364311*c_1001_7^12 + 1032776398816/3986364311*c_1001_7^11 + 14398900829873/3986364311*c_1001_7^10 + 9404034891088/3986364311*c_1001_7^9 - 26385948511531/3986364311*c_1001_7^8 - 27856647440846/3986364311*c_1001_7^7 + 19024466186747/3986364311*c_1001_7^6 + 28214484371761/3986364311*c_1001_7^5 - 1903178770003/3986364311*c_1001_7^4 - 10011704951687/3986364311*c_1001_7^3 - 2032637566691/3986364311*c_1001_7^2 + 168296143373/3986364311*c_1001_7 - 111466012469/3986364311, c_1001_7^15 + 16*c_1001_7^14 + 51*c_1001_7^13 + 10*c_1001_7^12 - 219*c_1001_7^11 - 263*c_1001_7^10 + 302*c_1001_7^9 + 636*c_1001_7^8 - 33*c_1001_7^7 - 576*c_1001_7^6 - 219*c_1001_7^5 + 162*c_1001_7^4 + 117*c_1001_7^3 + 15*c_1001_7^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB