Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 627357770] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3113 geometric_solution 6.26787399 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 0 -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 0 0 -1.571606516313 1.911071479737 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 0 0 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 -1 0 1 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 0.225165736300 0.472424346903 3 4 1 4 1230 0132 0132 1230 0 0 1 0 0 0 -1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791624810955 0.946089987244 5 2 5 1 0132 3012 3012 0132 0 0 0 1 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 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 0.791624810955 0.946089987244 2 2 5 6 3012 0132 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 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 0 0 0 0 0 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 0.222028502452 1.008080395826 3 3 6 4 0132 1230 2310 0132 0 0 1 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222028502452 1.008080395826 6 5 4 6 3012 3201 0132 1230 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 1 0 -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 0 0 0.257428513071 0.812715799542 ==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' : negation(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' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], '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' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), '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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 369592097343751/420169257180640*c_0101_6^10 + 884690458195999/210084628590320*c_0101_6^9 + 75342839332437/105042314295160*c_0101_6^8 + 17002518903548141/420169257180640*c_0101_6^7 - 7961888088009567/210084628590320*c_0101_6^6 + 280163721470233/2764271428820*c_0101_6^5 - 3570093964278273/42016925718064*c_0101_6^4 + 36622916150360211/420169257180640*c_0101_6^3 + 112133522420886897/420169257180640*c_0101_6^2 - 5927558354730267/84033851436128*c_0101_6 - 31510555296825063/420169257180640, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 + 87865395813/44228342861120*c_0101_6^10 + 191397111909/22114171430560*c_0101_6^9 - 12660085989/11057085715280*c_0101_6^8 + 877263617115/8845668572224*c_0101_6^7 - 2560163624717/22114171430560*c_0101_6^6 + 1778816302481/5528542857640*c_0101_6^5 - 5666476669263/22114171430560*c_0101_6^4 + 3956989048681/44228342861120*c_0101_6^3 + 25184048959891/44228342861120*c_0101_6^2 - 25213447856357/44228342861120*c_0101_6 - 4504378708693/44228342861120, c_0101_0 - 815106/159048989*c_0101_6^10 - 3068548/159048989*c_0101_6^9 + 2090817/159048989*c_0101_6^8 - 42205400/159048989*c_0101_6^7 + 75051051/159048989*c_0101_6^6 - 188748526/159048989*c_0101_6^5 + 234723510/159048989*c_0101_6^4 - 334298573/159048989*c_0101_6^3 - 31044558/159048989*c_0101_6^2 + 111432636/159048989*c_0101_6 - 74182439/159048989, c_0101_1 + 230267394453/22114171430560*c_0101_6^10 + 573679737029/11057085715280*c_0101_6^9 + 123037668731/5528542857640*c_0101_6^8 + 2185670025259/4422834286112*c_0101_6^7 - 4224834351997/11057085715280*c_0101_6^6 + 3566736683321/2764271428820*c_0101_6^5 - 12835213297503/11057085715280*c_0101_6^4 + 30691989744601/22114171430560*c_0101_6^3 + 58920155065571/22114171430560*c_0101_6^2 + 18093669357003/22114171430560*c_0101_6 - 9168035500773/22114171430560, c_0101_3 + 1075310672713/88456685722240*c_0101_6^10 + 2705530940649/44228342861120*c_0101_6^9 + 587993413191/22114171430560*c_0101_6^8 + 10198156943927/17691337144448*c_0101_6^7 - 16376359210097/44228342861120*c_0101_6^6 + 15405288771141/11057085715280*c_0101_6^5 - 32374290418523/44228342861120*c_0101_6^4 + 100372833807581/88456685722240*c_0101_6^3 + 368631865749391/88456685722240*c_0101_6^2 + 6224316214583/88456685722240*c_0101_6 - 35473231581113/88456685722240, c_0101_6^11 + 5*c_0101_6^10 + 2*c_0101_6^9 + 47*c_0101_6^8 - 33*c_0101_6^7 + 114*c_0101_6^6 - 78*c_0101_6^5 + 99*c_0101_6^4 + 310*c_0101_6^3 + 4*c_0101_6^2 - 52*c_0101_6 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB