Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 2833855890] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2378 geometric_solution 5.74571521 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 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 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 0.385458457979 0.116077276331 2 0 3 0 0132 2310 0132 0132 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 0 1 -1 -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 -0.387478689443 1.974981314768 1 4 3 5 0132 0132 0213 0132 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 -1 1 1 0 -1 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 0.533757025458 0.600862273492 6 2 4 1 0132 0213 3201 0132 0 0 0 0 0 1 0 -1 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 1 -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 0.533757025458 0.600862273492 3 2 5 6 2310 0132 1302 1302 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679823484229 0.662745237089 4 6 2 6 2031 2310 0132 3201 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 -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 0.626368503697 0.461129234573 3 5 4 5 0132 2310 2031 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 -1 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 0.626368503697 0.461129234573 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_1, c_0101_3, c_0110_0, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 16754338596126498/482395946765125*c_0110_5^15 - 44372201191091871/482395946765125*c_0110_5^14 + 68960866986783121/964791893530250*c_0110_5^13 - 913200384707381917/964791893530250*c_0110_5^12 - 26507982172108787/482395946765125*c_0110_5^11 - 1764286908777111577/482395946765125*c_0110_5^10 - 362860520216530583/964791893530250*c_0110_5^9 - 837327514288776429/192958378706050*c_0110_5^8 - 1041454838694451493/964791893530250*c_0110_5^7 + 91705968042953313/96479189353025*c_0110_5^6 + 793338482381977793/482395946765125*c_0110_5^5 + 497054582798012461/964791893530250*c_0110_5^4 + 24721938796967376/482395946765125*c_0110_5^3 + 52483667919601999/192958378706050*c_0110_5^2 + 304036286297405221/964791893530250*c_0110_5 + 99885653125816521/964791893530250, c_0011_0 - 1, c_0011_1 + 875424366793/20973736815875*c_0110_5^15 - 2804523467716/20973736815875*c_0110_5^14 + 3230835053348/20973736815875*c_0110_5^13 - 24928083301161/20973736815875*c_0110_5^12 + 11098082091193/20973736815875*c_0110_5^11 - 94311504393952/20973736815875*c_0110_5^10 + 33679234293861/20973736815875*c_0110_5^9 - 22926297805604/4194747363175*c_0110_5^8 + 10137922156071/20973736815875*c_0110_5^7 + 7740098165369/4194747363175*c_0110_5^6 + 31733735267443/20973736815875*c_0110_5^5 - 1098093142312/20973736815875*c_0110_5^4 + 83495197733811/20973736815875*c_0110_5^3 + 1447416673379/4194747363175*c_0110_5^2 - 6284698623672/20973736815875*c_0110_5 - 386167067777/20973736815875, c_0011_5 - 95948354107/20973736815875*c_0110_5^15 + 368794192559/20973736815875*c_0110_5^14 - 622610507527/20973736815875*c_0110_5^13 + 3266933380389/20973736815875*c_0110_5^12 - 3262333350657/20973736815875*c_0110_5^11 + 12685947717423/20973736815875*c_0110_5^10 - 12876911952689/20973736815875*c_0110_5^9 + 3670020900511/4194747363175*c_0110_5^8 - 16098894403529/20973736815875*c_0110_5^7 - 912519945976/4194747363175*c_0110_5^6 + 2466078723818/20973736815875*c_0110_5^5 + 4274953239788/20973736815875*c_0110_5^4 - 33051528764/20973736815875*c_0110_5^3 + 10564076381564/4194747363175*c_0110_5^2 + 255734927603/20973736815875*c_0110_5 + 3004657350973/20973736815875, c_0101_1 - 3004657350973/20973736815875*c_0110_5^15 + 9109920407026/20973736815875*c_0110_5^14 - 9382766245478/20973736815875*c_0110_5^13 + 84753016334771/20973736815875*c_0110_5^12 - 27304192188173/20973736815875*c_0110_5^11 + 318751355202822/20973736815875*c_0110_5^10 - 90807038842721/20973736815875*c_0110_5^9 + 75889021754279/4194747363175*c_0110_5^8 - 54405992714231/20973736815875*c_0110_5^7 - 19615616986689/4194747363175*c_0110_5^6 - 103605064905148/20973736815875*c_0110_5^5 - 2466078723818/20973736815875*c_0110_5^4 + 7743676164104/20973736815875*c_0110_5^3 - 4800841455804/4194747363175*c_0110_5^2 - 49874589197783/20973736815875*c_0110_5 - 255734927603/20973736815875, c_0101_3 - c_0110_5, c_0110_0 + 9168905491764/20973736815875*c_0110_5^15 - 28197298089918/20973736815875*c_0110_5^14 + 29185890300429/20973736815875*c_0110_5^13 - 256177162125378/20973736815875*c_0110_5^12 + 86857482195264/20973736815875*c_0110_5^11 - 951937281285471/20973736815875*c_0110_5^10 + 266537368757728/20973736815875*c_0110_5^9 - 215173582925502/4194747363175*c_0110_5^8 + 29276582696508/20973736815875*c_0110_5^7 + 89710460153167/4194747363175*c_0110_5^6 + 110760039352989/20973736815875*c_0110_5^5 - 21606776327026/20973736815875*c_0110_5^4 + 5939939580428/20973736815875*c_0110_5^3 + 14568883189302/4194747363175*c_0110_5^2 + 50297252867119/20973736815875*c_0110_5 - 4311875597571/20973736815875, c_0110_5^16 - 3*c_0110_5^15 + 3*c_0110_5^14 - 28*c_0110_5^13 + 8*c_0110_5^12 - 105*c_0110_5^11 + 26*c_0110_5^10 - 122*c_0110_5^9 + 12*c_0110_5^8 + 38*c_0110_5^7 + 36*c_0110_5^6 - 4*c_0110_5^4 + 8*c_0110_5^3 + 6*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB