Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 2412647276] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0597 geometric_solution 4.60976821 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 1 -1 0 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 0 -1 1 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 0.932453848451 0.395579861051 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 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 1 -1 -1 0 1 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 0.626325253196 0.172391675814 3 0 4 4 3120 0132 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189840301737 0.931349457429 5 5 0 2 0132 3201 0132 3120 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 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 0.189840301737 0.931349457429 2 6 2 6 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.187190175685 1.518126816212 3 6 3 6 0132 3201 2310 1023 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 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 -1.187190175685 1.518126816212 4 4 5 5 3201 0132 2310 1023 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 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 0.255734433406 0.121811777704 ==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' : 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' : negation(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' : negation(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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0110_6']), '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_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2105339/162788352*c_0110_6^13 - 13083417/54262784*c_0110_6^11 - 7779535/54262784*c_0110_6^9 + 50380459/10174272*c_0110_6^7 - 10794845/5087136*c_0110_6^5 - 6407699/211964*c_0110_6^3 + 24069737/635892*c_0110_6, c_0011_0 - 1, c_0011_3 - 3425/6782848*c_0110_6^12 + 55019/6782848*c_0110_6^10 + 141693/6782848*c_0110_6^8 - 102531/3391424*c_0110_6^6 - 11553/211964*c_0110_6^4 - 6620/52991*c_0110_6^2 - 18926/52991, c_0011_4 - 3425/6782848*c_0110_6^12 + 55019/6782848*c_0110_6^10 + 141693/6782848*c_0110_6^8 - 102531/3391424*c_0110_6^6 - 11553/211964*c_0110_6^4 - 6620/52991*c_0110_6^2 - 18926/52991, c_0101_0 + 53691/27131392*c_0110_6^13 - 837827/27131392*c_0110_6^11 - 3221957/27131392*c_0110_6^9 + 1507553/3391424*c_0110_6^7 + 2000201/1695712*c_0110_6^5 - 352565/211964*c_0110_6^3 - 50090/52991*c_0110_6, c_0101_1 + 7927/13565696*c_0110_6^12 - 106947/13565696*c_0110_6^10 - 700101/13565696*c_0110_6^8 + 49361/3391424*c_0110_6^6 + 409995/847856*c_0110_6^4 + 153567/211964*c_0110_6^2 - 24684/52991, c_0101_4 - 6171/6782848*c_0110_6^13 + 24245/1695712*c_0110_6^11 + 10863/211964*c_0110_6^9 - 1274619/6782848*c_0110_6^7 - 567725/1695712*c_0110_6^5 + 305841/423928*c_0110_6^3 - 72269/105982*c_0110_6, c_0110_6^14 - 17*c_0110_6^12 - 39*c_0110_6^10 + 320*c_0110_6^8 + 336*c_0110_6^6 - 1856*c_0110_6^4 + 256*c_0110_6^2 + 1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB