Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 2412647160] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3079 geometric_solution 6.24260990 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 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 0 1 -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 -0.298731299988 0.397693497341 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503508910798 1.391920582725 4 3 1 5 0132 2031 0132 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554127414995 0.483291511787 2 6 5 1 1302 0132 3201 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 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 0.554127414995 0.483291511787 2 6 6 6 0132 1023 1230 1302 1 0 0 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 0 0 0 0 -1 0 1 0 0 1 -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 0.572803522587 0.633070218225 3 5 2 5 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416689008493 1.240894166744 4 3 4 4 1023 0132 2031 3012 0 1 0 0 0 0 0 0 0 0 -1 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 1 0 -1 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 0.572803522587 0.633070218225 ==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_0101_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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' : d['c_0011_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8166267009533621/831057409061672*c_0101_4^10 - 11075577403095577/415528704530836*c_0101_4^9 + 133846686571660611/415528704530836*c_0101_4^8 + 927562485271203749/831057409061672*c_0101_4^7 - 20508474281402713/63927493004744*c_0101_4^6 - 1673593729191138945/415528704530836*c_0101_4^5 - 115460906209636396/103882176132709*c_0101_4^4 + 690118544714954689/103882176132709*c_0101_4^3 - 277801364488121341/103882176132709*c_0101_4^2 - 113196329383649143/207764352265418*c_0101_4 + 348728473592966041/831057409061672, c_0011_0 - 1, c_0011_2 - 92522891835/15981873251186*c_0101_4^10 - 224937693533/7990936625593*c_0101_4^9 + 1201298451507/7990936625593*c_0101_4^8 + 16693449701341/15981873251186*c_0101_4^7 + 22278689977189/15981873251186*c_0101_4^6 - 15732975285816/7990936625593*c_0101_4^5 - 42034385952329/7990936625593*c_0101_4^4 + 5102051388919/7990936625593*c_0101_4^3 + 36062315097608/7990936625593*c_0101_4^2 - 9775175255308/7990936625593*c_0101_4 - 6361776458109/15981873251186, c_0011_5 - 342807898858/7990936625593*c_0101_4^10 - 995663360563/7990936625593*c_0101_4^9 + 11005106859519/7990936625593*c_0101_4^8 + 40948351362089/7990936625593*c_0101_4^7 - 2026754965816/7990936625593*c_0101_4^6 - 136598348261916/7990936625593*c_0101_4^5 - 65035739155077/7990936625593*c_0101_4^4 + 205667279851610/7990936625593*c_0101_4^3 - 62920358494745/7990936625593*c_0101_4^2 - 11131472671478/7990936625593*c_0101_4 + 8200972312452/7990936625593, c_0101_0 + 92522891835/15981873251186*c_0101_4^10 + 224937693533/7990936625593*c_0101_4^9 - 1201298451507/7990936625593*c_0101_4^8 - 16693449701341/15981873251186*c_0101_4^7 - 22278689977189/15981873251186*c_0101_4^6 + 15732975285816/7990936625593*c_0101_4^5 + 42034385952329/7990936625593*c_0101_4^4 - 5102051388919/7990936625593*c_0101_4^3 - 36062315097608/7990936625593*c_0101_4^2 + 17766111880901/7990936625593*c_0101_4 + 6361776458109/15981873251186, c_0101_1 + 251926160214/7990936625593*c_0101_4^10 + 812539808002/7990936625593*c_0101_4^9 - 7807130640506/7990936625593*c_0101_4^8 - 32468869485775/7990936625593*c_0101_4^7 - 9409811737919/7990936625593*c_0101_4^6 + 92745816464588/7990936625593*c_0101_4^5 + 71256642170909/7990936625593*c_0101_4^4 - 119563492888304/7990936625593*c_0101_4^3 + 26419303304987/7990936625593*c_0101_4^2 + 9026607222153/7990936625593*c_0101_4 - 8148736590223/7990936625593, c_0101_4^11 + 3*c_0101_4^10 - 32*c_0101_4^9 - 123*c_0101_4^8 + 419*c_0101_4^6 + 230*c_0101_4^5 - 644*c_0101_4^4 + 80*c_0101_4^3 + 136*c_0101_4^2 - 29*c_0101_4 - 13, c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB