Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 1831661899] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s152 geometric_solution 4.22234092 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1.685691985475 0.248369450832 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269605279480 0.731073466731 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267671192256 0.308688107002 2 5 4 4 0132 0132 1302 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138448036186 0.863674860502 3 3 2 5 2031 2310 0132 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 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 0.138448036186 0.863674860502 4 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.819046331262 1.128836052210 ==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' : negation(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' : negation(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_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_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 16193966971823/8420910856*c_0101_5^12 - 60072612576717/8420910856*c_0101_5^11 + 308923720201131/8420910856*c_0101_5^10 - 1190959207039767/8420910856*c_0101_5^9 - 128021520416123/2105227714*c_0101_5^8 + 1936055935582507/4210455428*c_0101_5^7 - 497455012805779/4210455428*c_0101_5^6 - 1020023696032331/2105227714*c_0101_5^5 + 139719663572175/1052613857*c_0101_5^4 + 1794520051831925/8420910856*c_0101_5^3 - 121988896587123/4210455428*c_0101_5^2 - 365818310643551/8420910856*c_0101_5 - 56136850996415/8420910856, c_0011_0 - 1, c_0011_1 + 52841781142/1052613857*c_0101_5^12 + 197393194732/1052613857*c_0101_5^11 - 1003403173051/1052613857*c_0101_5^10 + 3858436429717/1052613857*c_0101_5^9 + 1781339133914/1052613857*c_0101_5^8 - 12629112365754/1052613857*c_0101_5^7 + 2918465646843/1052613857*c_0101_5^6 + 13506833095685/1052613857*c_0101_5^5 - 3369706202564/1052613857*c_0101_5^4 - 6036967163618/1052613857*c_0101_5^3 + 703045405758/1052613857*c_0101_5^2 + 1241899866889/1052613857*c_0101_5 + 200027345297/1052613857, c_0011_4 - 350820099/1052613857*c_0101_5^12 - 1240337955/1052613857*c_0101_5^11 + 6870540064/1052613857*c_0101_5^10 - 27141224595/1052613857*c_0101_5^9 - 5682228952/1052613857*c_0101_5^8 + 82137802403/1052613857*c_0101_5^7 - 37232955664/1052613857*c_0101_5^6 - 73822085017/1052613857*c_0101_5^5 + 34907924722/1052613857*c_0101_5^4 + 24641330768/1052613857*c_0101_5^3 - 7406419637/1052613857*c_0101_5^2 - 4372996169/1052613857*c_0101_5 - 571557456/1052613857, c_0101_0 - 4073372478/1052613857*c_0101_5^12 - 16583454446/1052613857*c_0101_5^11 + 72732403924/1052613857*c_0101_5^10 - 269834557167/1052613857*c_0101_5^9 - 247134701809/1052613857*c_0101_5^8 + 967243996710/1052613857*c_0101_5^7 + 102430143217/1052613857*c_0101_5^6 - 1234631296620/1052613857*c_0101_5^5 - 17018571337/1052613857*c_0101_5^4 + 649539493938/1052613857*c_0101_5^3 + 35696830887/1052613857*c_0101_5^2 - 145017761842/1052613857*c_0101_5 - 31532685468/1052613857, c_0101_2 + 57409244845/1052613857*c_0101_5^12 + 214096300347/1052613857*c_0101_5^11 - 1091273564254/1052613857*c_0101_5^10 + 4199371183182/1052613857*c_0101_5^9 + 1904819363387/1052613857*c_0101_5^8 - 13715341152522/1052613857*c_0101_5^7 + 3251576080704/1052613857*c_0101_5^6 + 14607538346572/1052613857*c_0101_5^5 - 3712709146234/1052613857*c_0101_5^4 - 6506449129300/1052613857*c_0101_5^3 + 775635180728/1052613857*c_0101_5^2 + 1336934737265/1052613857*c_0101_5 + 214238015971/1052613857, c_0101_5^13 + 4*c_0101_5^12 - 18*c_0101_5^11 + 68*c_0101_5^10 + 53*c_0101_5^9 - 230*c_0101_5^8 - 8*c_0101_5^7 + 270*c_0101_5^6 + 4*c_0101_5^5 - 131*c_0101_5^4 - 17*c_0101_5^3 + 27*c_0101_5^2 + 10*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB