Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3718005188] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s655 geometric_solution 5.14920692 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 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 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 -0.898609170904 0.670713987151 0 0 3 2 0132 3201 0132 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 1 -1 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 0 0.226220117957 0.762468487794 4 5 1 3 0132 0132 0132 1302 0 0 0 0 0 -1 1 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 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 0.479805749590 0.601657617839 5 4 2 1 3201 0132 2031 0132 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 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 0.479805749590 0.601657617839 2 3 4 4 0132 0132 1230 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 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 1.189798485523 1.015960966676 5 2 5 3 2031 0132 1302 2310 0 0 0 0 0 1 -1 0 1 0 0 -1 -1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231594850592 1.229193997996 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_0'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 95154722681/6586320728*c_0101_1*c_0101_4^10 + 21276642287/823290091*c_0101_1*c_0101_4^9 - 54838653137/6586320728*c_0101_1*c_0101_4^8 - 2019828423519/6586320728*c_0101_1*c_0101_4^7 + 5766485648019/6586320728*c_0101_1*c_0101_4^6 + 1230429037087/1646580182*c_0101_1*c_0101_4^5 - 652603668277/253320028*c_0101_1*c_0101_4^4 + 1207996543151/6586320728*c_0101_1*c_0101_4^3 + 15406094163405/6586320728*c_0101_1*c_0101_4^2 + 1732464788943/6586320728*c_0101_1*c_0101_4 - 1160268240917/3293160364*c_0101_1, c_0011_0 - 1, c_0011_2 - 1095746069/6586320728*c_0101_1*c_0101_4^10 + 508946761/1646580182*c_0101_1*c_0101_4^9 - 891022741/6586320728*c_0101_1*c_0101_4^8 - 23039444575/6586320728*c_0101_1*c_0101_4^7 + 68012033507/6586320728*c_0101_1*c_0101_4^6 + 6146897703/823290091*c_0101_1*c_0101_4^5 - 7383602089/253320028*c_0101_1*c_0101_4^4 + 34732036779/6586320728*c_0101_1*c_0101_4^3 + 156098944525/6586320728*c_0101_1*c_0101_4^2 + 16771389143/6586320728*c_0101_1*c_0101_4 - 8121992507/3293160364*c_0101_1, c_0101_0 + 731762921/6586320728*c_0101_1*c_0101_4^10 - 350257135/1646580182*c_0101_1*c_0101_4^9 + 713991753/6586320728*c_0101_1*c_0101_4^8 + 15129121019/6586320728*c_0101_1*c_0101_4^7 - 45982507759/6586320728*c_0101_1*c_0101_4^6 - 3751210665/823290091*c_0101_1*c_0101_4^5 + 4827198277/253320028*c_0101_1*c_0101_4^4 - 25442358351/6586320728*c_0101_1*c_0101_4^3 - 93757077049/6586320728*c_0101_1*c_0101_4^2 - 9891876819/6586320728*c_0101_1*c_0101_4 + 6460215959/3293160364*c_0101_1, c_0101_1^2 + 278410657/6586320728*c_0101_4^10 - 135680345/1646580182*c_0101_4^9 + 274823713/6586320728*c_0101_4^8 + 5694966131/6586320728*c_0101_4^7 - 17664746663/6586320728*c_0101_4^6 - 1412887731/823290091*c_0101_4^5 + 1824071121/253320028*c_0101_4^4 - 9043358215/6586320728*c_0101_4^3 - 36618403793/6586320728*c_0101_4^2 - 5066169867/6586320728*c_0101_4 - 339291193/3293160364, c_0101_3 + 731762921/6586320728*c_0101_4^10 - 350257135/1646580182*c_0101_4^9 + 713991753/6586320728*c_0101_4^8 + 15129121019/6586320728*c_0101_4^7 - 45982507759/6586320728*c_0101_4^6 - 3751210665/823290091*c_0101_4^5 + 4827198277/253320028*c_0101_4^4 - 25442358351/6586320728*c_0101_4^3 - 93757077049/6586320728*c_0101_4^2 - 9891876819/6586320728*c_0101_4 + 3167055595/3293160364, c_0101_4^11 - 2*c_0101_4^10 + c_0101_4^9 + 21*c_0101_4^8 - 65*c_0101_4^7 - 38*c_0101_4^6 + 186*c_0101_4^5 - 51*c_0101_4^4 - 151*c_0101_4^3 + 11*c_0101_4^2 + 24*c_0101_4 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB