Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 71669987] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1832 geometric_solution 5.48650517 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 -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 -0.281452254348 0.214901507572 0 0 2 2 0132 2310 2310 0132 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 1 0 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 1.485452969011 1.586466555028 3 1 1 4 0132 3201 0132 0132 0 0 0 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 -1 0 1 -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 0.596309594143 0.291426071215 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 0 0 0 -1 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 -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 0 0 0 0 0.959528857876 1.080859270495 6 5 2 3 0132 2310 0132 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 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 0.959528857876 1.080859270495 5 5 3 4 1302 2031 0132 3201 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 0 0 0 0.462259666301 0.480203270874 4 6 6 3 0132 1230 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 1 0 -1 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 0.170237629775 0.656918159721 ==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' : d['1'], 's_3_5' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_5'])})} 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_2, c_0011_4, c_0011_5, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 78*c_0110_5^6 - 372*c_0110_5^5 - 281*c_0110_5^4 + 508*c_0110_5^3 + 321*c_0110_5^2 - 258*c_0110_5 - 124, c_0011_0 - 1, c_0011_2 - c_0110_5^2 - c_0110_5 + 1, c_0011_4 - c_0110_5^6 - 4*c_0110_5^5 + 9*c_0110_5^3 - 4*c_0110_5, c_0011_5 + c_0110_5^5 + 4*c_0110_5^4 + c_0110_5^3 - 6*c_0110_5^2 + 2, c_0101_1 - c_0110_5, c_0101_3 - c_0110_5^3 - 2*c_0110_5^2 + c_0110_5 + 1, c_0110_5^7 + 4*c_0110_5^6 - 9*c_0110_5^4 + c_0110_5^3 + 6*c_0110_5^2 - c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 8783581290987836/17183689714417*c_0110_5^13 - 27187111479264239/17183689714417*c_0110_5^12 + 90316457559715841/17183689714417*c_0110_5^11 + 26974702448994936/17183689714417*c_0110_5^10 - 1207417820038518034/17183689714417*c_0110_5^9 + 792276348153449648/17183689714417*c_0110_5^8 + 3575401432219674491/17183689714417*c_0110_5^7 - 1804999244205035444/17183689714417*c_0110_5^6 - 4316678348511662556/17183689714417*c_0110_5^5 + 466654972825740081/17183689714417*c_0110_5^4 + 2428991259773454184/17183689714417*c_0110_5^3 + 487678636966318030/17183689714417*c_0110_5^2 - 303600919959501995/17183689714417*c_0110_5 - 64471195393713614/17183689714417, c_0011_0 - 1, c_0011_2 - 12892903078395/17183689714417*c_0110_5^13 + 40758996351567/17183689714417*c_0110_5^12 - 136428426579385/17183689714417*c_0110_5^11 - 27466459467035/17183689714417*c_0110_5^10 + 1762338461966928/17183689714417*c_0110_5^9 - 1285200848605946/17183689714417*c_0110_5^8 - 5016678248795109/17183689714417*c_0110_5^7 + 2930587455167189/17183689714417*c_0110_5^6 + 5790735355813718/17183689714417*c_0110_5^5 - 1005104942544202/17183689714417*c_0110_5^4 - 3261173854819300/17183689714417*c_0110_5^3 - 435027487897545/17183689714417*c_0110_5^2 + 436740377516383/17183689714417*c_0110_5 + 55119938515622/17183689714417, c_0011_4 + 21235491061112/17183689714417*c_0110_5^13 - 67969065607918/17183689714417*c_0110_5^12 + 225401339817459/17183689714417*c_0110_5^11 + 41202915784454/17183689714417*c_0110_5^10 - 2923381650447053/17183689714417*c_0110_5^9 + 2218346300364567/17183689714417*c_0110_5^8 + 8420271008616144/17183689714417*c_0110_5^7 - 5186247039821807/17183689714417*c_0110_5^6 - 9925244450358496/17183689714417*c_0110_5^5 + 1984619592274806/17183689714417*c_0110_5^4 + 5661533221439587/17183689714417*c_0110_5^3 + 750318720477464/17183689714417*c_0110_5^2 - 743471791380268/17183689714417*c_0110_5 - 112220406343621/17183689714417, c_0011_5 + 23174546502519/17183689714417*c_0110_5^13 - 74651374411418/17183689714417*c_0110_5^12 + 248226873827732/17183689714417*c_0110_5^11 + 37292630368967/17183689714417*c_0110_5^10 - 3182311895284733/17183689714417*c_0110_5^9 + 2483169587742202/17183689714417*c_0110_5^8 + 9043589290547582/17183689714417*c_0110_5^7 - 5734114879619416/17183689714417*c_0110_5^6 - 10502531054321327/17183689714417*c_0110_5^5 + 2158765472842884/17183689714417*c_0110_5^4 + 5973653172098628/17183689714417*c_0110_5^3 + 780407645949594/17183689714417*c_0110_5^2 - 772633046483264/17183689714417*c_0110_5 - 116851568346923/17183689714417, c_0101_1 + 30262017469296/17183689714417*c_0110_5^13 - 96551780373664/17183689714417*c_0110_5^12 + 321681980802647/17183689714417*c_0110_5^11 + 58591936290244/17183689714417*c_0110_5^10 - 4151922198947463/17183689714417*c_0110_5^9 + 3130600624035034/17183689714417*c_0110_5^8 + 11851456648593694/17183689714417*c_0110_5^7 - 7269400803258263/17183689714417*c_0110_5^6 - 13763614416244051/17183689714417*c_0110_5^5 + 2775401137037499/17183689714417*c_0110_5^4 + 7780622493447437/17183689714417*c_0110_5^3 + 965960185494152/17183689714417*c_0110_5^2 - 1032119177896666/17183689714417*c_0110_5 - 157489222311504/17183689714417, c_0101_3 - 2379364029857/17183689714417*c_0110_5^13 + 7005320109271/17183689714417*c_0110_5^12 - 24089896190476/17183689714417*c_0110_5^11 - 9065119808102/17183689714417*c_0110_5^10 + 318402340662263/17183689714417*c_0110_5^9 - 168442879494409/17183689714417*c_0110_5^8 - 910559022255107/17183689714417*c_0110_5^7 + 315134348707830/17183689714417*c_0110_5^6 + 1046656831444446/17183689714417*c_0110_5^5 + 48987915730942/17183689714417*c_0110_5^4 - 595312593488049/17183689714417*c_0110_5^3 - 125201587440902/17183689714417*c_0110_5^2 + 86018751113371/17183689714417*c_0110_5 + 14832806920373/17183689714417, c_0110_5^14 - 3*c_0110_5^13 + 10*c_0110_5^12 + 4*c_0110_5^11 - 137*c_0110_5^10 + 77*c_0110_5^9 + 414*c_0110_5^8 - 164*c_0110_5^7 - 508*c_0110_5^6 + 280*c_0110_5^4 + 86*c_0110_5^3 - 28*c_0110_5^2 - 12*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB