Magma V2.19-8 Wed Aug 21 2013 01:07:19 on localhost [Seed = 3701130713] Type ? for help. Type -D to quit. Loading file "L14n33057__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33057 geometric_solution 11.86473996 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.440742022542 0.627193412931 0 5 4 6 0132 0132 0132 0132 1 1 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 -1 1 0 0 0 -1 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 0.283571384860 0.989332378829 7 0 4 8 0132 0132 1302 0132 1 0 1 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880351573723 1.312175242160 9 10 6 0 0132 0132 0132 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 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758330790497 0.551355843579 2 8 0 1 2031 0321 0132 0132 1 1 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 1 -1 -1 0 0 1 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132588396199 1.672895157725 7 1 11 6 1023 0132 0132 3120 1 1 0 1 0 0 0 0 1 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 1 -1 0 -7 0 8 -1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668731151264 0.687237077220 5 12 1 3 3120 0132 0132 0132 1 1 0 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 0 0 1 0 -1 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 0.622438987810 0.511447050818 2 5 10 9 0132 1023 3201 1023 1 0 0 1 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431189023015 0.716866851480 9 12 2 4 1023 2031 0132 0321 1 0 0 1 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 1 0 0 -1 0 3 0 -3 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925919151913 0.520163743681 3 8 11 7 0132 1023 3120 1023 0 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 -1 1 0 0 0 0 0 0 0 0 0 7 -8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570969087825 0.539466140518 7 3 12 11 2310 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.213146568882 1.078293495239 12 10 9 5 2103 1302 3120 0132 1 1 1 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 0 0 -1 1 8 0 0 -8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525928138784 0.781790283243 8 6 11 10 1302 0132 2103 1302 1 1 1 0 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 0 0 0 8 0 -8 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395773707274 0.683696358181 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : negation(d['c_0110_12']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_1001_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : negation(d['c_0110_12']), 'c_1010_2' : negation(d['c_0110_12']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], '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_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_4']), '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_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_12, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3965579715595/36574455736*c_1100_0^11 - 7466478388487/36574455736*c_1100_0^10 - 9910320528911/18287227868*c_1100_0^9 - 46549351545241/36574455736*c_1100_0^8 - 6173330559341/4571806967*c_1100_0^7 - 3173208025355/4571806967*c_1100_0^6 - 12017434441367/9143613934*c_1100_0^5 - 31396419201247/18287227868*c_1100_0^4 - 4125100443375/9143613934*c_1100_0^3 - 656929023363/4571806967*c_1100_0^2 - 4440432263661/9143613934*c_1100_0 - 958085188153/4571806967, c_0011_0 - 1, c_0011_10 + 1841739255/114833456*c_1100_0^11 + 3579710193/114833456*c_1100_0^10 + 4732446455/57416728*c_1100_0^9 + 22214001003/114833456*c_1100_0^8 + 1538540998/7177091*c_1100_0^7 + 855109230/7177091*c_1100_0^6 + 1492024287/7177091*c_1100_0^5 + 1982335393/7177091*c_1100_0^4 + 2605625735/28708364*c_1100_0^3 + 151935295/7177091*c_1100_0^2 + 2221822037/28708364*c_1100_0 + 1111571647/28708364, c_0011_11 + 4906108265/229666912*c_1100_0^11 + 9422484239/229666912*c_1100_0^10 + 12503605313/114833456*c_1100_0^9 + 58615480749/229666912*c_1100_0^8 + 8038538747/28708364*c_1100_0^7 + 2193760797/14354182*c_1100_0^6 + 7879570149/28708364*c_1100_0^5 + 5205469659/14354182*c_1100_0^4 + 6533596649/57416728*c_1100_0^3 + 380064325/14354182*c_1100_0^2 + 5930621819/57416728*c_1100_0 + 2877379733/57416728, c_0011_12 - 2017921545/229666912*c_1100_0^11 - 3980741247/229666912*c_1100_0^10 - 5199877073/114833456*c_1100_0^9 - 24443773021/229666912*c_1100_0^8 - 3401045903/28708364*c_1100_0^7 - 914099599/14354182*c_1100_0^6 - 3154546053/28708364*c_1100_0^5 - 1086760364/7177091*c_1100_0^4 - 2875945617/57416728*c_1100_0^3 - 103736559/14354182*c_1100_0^2 - 2322833643/57416728*c_1100_0 - 1315172709/57416728, c_0011_4 - 30548321215/1837335296*c_1100_0^11 - 58921137769/1837335296*c_1100_0^10 - 77872090431/918667648*c_1100_0^9 - 365096077115/1837335296*c_1100_0^8 - 50117982623/229666912*c_1100_0^7 - 1683248055/14354182*c_1100_0^6 - 48349931665/229666912*c_1100_0^5 - 32432628623/114833456*c_1100_0^4 - 40669152695/459333824*c_1100_0^3 - 2088071605/114833456*c_1100_0^2 - 36593368957/459333824*c_1100_0 - 18565476443/459333824, c_0101_0 - 1, c_0101_1 + 2251024575/229666912*c_1100_0^11 + 4431389705/229666912*c_1100_0^10 + 5766599663/114833456*c_1100_0^9 + 27258507003/229666912*c_1100_0^8 + 3766393169/28708364*c_1100_0^7 + 1009563553/14354182*c_1100_0^6 + 3570393269/28708364*c_1100_0^5 + 1219701603/7177091*c_1100_0^4 + 3070287399/57416728*c_1100_0^3 + 135430103/14354182*c_1100_0^2 + 2704118101/57416728*c_1100_0 + 1398395427/57416728, c_0101_10 + 224414535/14354182*c_1100_0^11 + 438208951/14354182*c_1100_0^10 + 577136820/7177091*c_1100_0^9 + 2709879283/14354182*c_1100_0^8 + 3007444857/14354182*c_1100_0^7 + 1650926379/14354182*c_1100_0^6 + 1436377268/7177091*c_1100_0^5 + 3860975871/14354182*c_1100_0^4 + 630308706/7177091*c_1100_0^3 + 124659223/7177091*c_1100_0^2 + 532785453/7177091*c_1100_0 + 271586551/7177091, c_0101_3 - 4419410325/229666912*c_1100_0^11 - 8658929875/229666912*c_1100_0^10 - 11355870549/114833456*c_1100_0^9 - 53518817081/229666912*c_1100_0^8 - 7420147865/28708364*c_1100_0^7 - 1020430440/7177091*c_1100_0^6 - 7139270219/28708364*c_1100_0^5 - 2403677860/7177091*c_1100_0^4 - 6217861749/57416728*c_1100_0^3 - 344836043/14354182*c_1100_0^2 - 5426652015/57416728*c_1100_0 - 2685753209/57416728, c_0101_7 + 4419410325/229666912*c_1100_0^11 + 8658929875/229666912*c_1100_0^10 + 11355870549/114833456*c_1100_0^9 + 53518817081/229666912*c_1100_0^8 + 7420147865/28708364*c_1100_0^7 + 1020430440/7177091*c_1100_0^6 + 7139270219/28708364*c_1100_0^5 + 2403677860/7177091*c_1100_0^4 + 6217861749/57416728*c_1100_0^3 + 344836043/14354182*c_1100_0^2 + 5426652015/57416728*c_1100_0 + 2685753209/57416728, c_0110_12 + 249127865/28708364*c_1100_0^11 + 513316249/28708364*c_1100_0^10 + 651078503/14354182*c_1100_0^9 + 3115579375/28708364*c_1100_0^8 + 884074908/7177091*c_1100_0^7 + 486265544/7177091*c_1100_0^6 + 810484315/7177091*c_1100_0^5 + 2307605573/14354182*c_1100_0^4 + 393587481/7177091*c_1100_0^3 + 63916486/7177091*c_1100_0^2 + 324168112/7177091*c_1100_0 + 174410555/7177091, c_1001_5 - 329305525/28708364*c_1100_0^11 - 607530565/28708364*c_1100_0^10 - 823462505/14354182*c_1100_0^9 - 3833101443/28708364*c_1100_0^8 - 1020839248/7177091*c_1100_0^7 - 546856477/7177091*c_1100_0^6 - 1041032500/7177091*c_1100_0^5 - 2624717411/14354182*c_1100_0^4 - 359933816/7177091*c_1100_0^3 - 115417332/7177091*c_1100_0^2 - 374726557/7177091*c_1100_0 - 157235069/7177091, c_1100_0^12 + 13/5*c_1100_0^11 + 32/5*c_1100_0^10 + 77/5*c_1100_0^9 + 106/5*c_1100_0^8 + 16*c_1100_0^7 + 88/5*c_1100_0^6 + 128/5*c_1100_0^5 + 84/5*c_1100_0^4 + 24/5*c_1100_0^3 + 28/5*c_1100_0^2 + 28/5*c_1100_0 + 8/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB