Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 2581071231] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1850 geometric_solution 5.49357116 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 0 -1 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 0 0 0 0.467779509859 0.593001125405 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 0 1 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 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 0.746638083821 0.881147097572 3 0 4 1 3201 0132 3201 3012 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 -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 0.746638083821 0.881147097572 3 1 3 2 2310 0132 3201 2310 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 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 -0.247933604462 0.964938982601 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 -1 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.869636167922 0.478481600084 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 0 -1 1 0 0 1 -1 -1 0 0 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826381555650 0.469007699322 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.516166874380 0.212117308814 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 53558783196/13374521069*c_0101_5*c_0101_6^13 - 159444583764/13374521069*c_0101_5*c_0101_6^12 - 164684348545/13374521069*c_0101_5*c_0101_6^11 + 2955520630/146972759*c_0101_5*c_0101_6^10 - 431140927037/13374521069*c_0101_5*c_0101_6^9 + 2115460674447/13374521069*c_0101_5*c_0101_6^8 + 3541084084739/13374521069*c_0101_5*c_0101_6^7 - 337032147685/13374521069*c_0101_5*c_0101_6^6 + 490910081611/13374521069*c_0101_5*c_0101_6^5 - 266792936589/1910645867*c_0101_5*c_0101_6^4 - 2545610868397/13374521069*c_0101_5*c_0101_6^3 + 109442016694/1028809313*c_0101_5*c_0101_6^2 + 966357780785/13374521069*c_0101_5*c_0101_6 - 171888433649/13374521069*c_0101_5, c_0011_0 - 1, c_0011_4 + 7233079324/13374521069*c_0101_5*c_0101_6^13 - 26455431174/13374521069*c_0101_5*c_0101_6^12 - 4974787261/13374521069*c_0101_5*c_0101_6^11 + 5941291261/1910645867*c_0101_5*c_0101_6^10 - 83336667871/13374521069*c_0101_5*c_0101_6^9 + 339731578614/13374521069*c_0101_5*c_0101_6^8 + 251400808475/13374521069*c_0101_5*c_0101_6^7 - 242208151782/13374521069*c_0101_5*c_0101_6^6 + 169419842576/13374521069*c_0101_5*c_0101_6^5 - 55380959606/1910645867*c_0101_5*c_0101_6^4 - 89542833424/13374521069*c_0101_5*c_0101_6^3 + 261972419797/13374521069*c_0101_5*c_0101_6^2 - 12105483147/13374521069*c_0101_5*c_0101_6 - 2772772725/13374521069*c_0101_5, c_0101_0 + 9301429198/13374521069*c_0101_6^13 - 31591676840/13374521069*c_0101_6^12 - 13753216873/13374521069*c_0101_6^11 + 6642013210/1910645867*c_0101_6^10 - 95302180629/13374521069*c_0101_6^9 + 417227138754/13374521069*c_0101_6^8 + 423351586548/13374521069*c_0101_6^7 - 160718657902/13374521069*c_0101_6^6 + 203404942498/13374521069*c_0101_6^5 - 68475675951/1910645867*c_0101_6^4 - 240815327716/13374521069*c_0101_6^3 + 241481970201/13374521069*c_0101_6^2 + 45952420866/13374521069*c_0101_6 + 15291669668/13374521069, c_0101_1 + 279303728/13374521069*c_0101_6^13 - 3152807127/13374521069*c_0101_6^12 + 6964638164/13374521069*c_0101_6^11 + 756697753/1910645867*c_0101_6^10 - 15008278919/13374521069*c_0101_6^9 + 35354993851/13374521069*c_0101_6^8 - 83002972049/13374521069*c_0101_6^7 - 114302000600/13374521069*c_0101_6^6 + 54197513030/13374521069*c_0101_6^5 - 9129631709/1910645867*c_0101_6^4 + 80621976592/13374521069*c_0101_6^3 + 80515511854/13374521069*c_0101_6^2 - 65644830570/13374521069*c_0101_6 - 7083816793/13374521069, c_0101_2 - 7909743648/13374521069*c_0101_5*c_0101_6^13 + 28166241611/13374521069*c_0101_5*c_0101_6^12 + 6927822569/13374521069*c_0101_5*c_0101_6^11 - 5782082374/1910645867*c_0101_5*c_0101_6^10 + 88826976555/13374521069*c_0101_5*c_0101_6^9 - 370382201141/13374521069*c_0101_5*c_0101_6^8 - 297198659532/13374521069*c_0101_5*c_0101_6^7 + 180816389875/13374521069*c_0101_5*c_0101_6^6 - 222322965149/13374521069*c_0101_5*c_0101_6^5 + 63529929445/1910645867*c_0101_5*c_0101_6^4 + 117602966994/13374521069*c_0101_5*c_0101_6^3 - 212318680326/13374521069*c_0101_5*c_0101_6^2 + 40632408567/13374521069*c_0101_5*c_0101_6 - 30132775237/13374521069*c_0101_5, c_0101_5^2 + 2554377541/13374521069*c_0101_6^13 - 9727885948/13374521069*c_0101_6^12 - 2553491/13374521069*c_0101_6^11 + 1936578374/1910645867*c_0101_6^10 - 31359479468/13374521069*c_0101_6^9 + 126717862769/13374521069*c_0101_6^8 + 65351419180/13374521069*c_0101_6^7 - 82289110661/13374521069*c_0101_6^6 + 78109389734/13374521069*c_0101_6^5 - 23125194269/1910645867*c_0101_6^4 + 983660256/13374521069*c_0101_6^3 + 68514092035/13374521069*c_0101_6^2 - 10924042334/13374521069*c_0101_6 + 501141933/13374521069, c_0101_6^14 - 3*c_0101_6^13 - 3*c_0101_6^12 + 5*c_0101_6^11 - 8*c_0101_6^10 + 40*c_0101_6^9 + 65*c_0101_6^8 - 7*c_0101_6^7 + 7*c_0101_6^6 - 41*c_0101_6^5 - 50*c_0101_6^4 + 24*c_0101_6^3 + 18*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB