Magma V2.19-8 Tue Aug 20 2013 16:16:44 on localhost [Seed = 1090575756] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1022 geometric_solution 4.90613530 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -1 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 0 0 0.716145497806 0.864580553448 0 3 2 4 0132 0132 1230 0132 0 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 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 1.104762372473 0.852422618564 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -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 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 1.104762372473 0.852422618564 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.308789328872 0.601759641474 2 5 1 5 2310 0132 0132 1023 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 0 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 1.266763816482 0.371633911666 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 -1 1 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 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 0.785995939568 0.272798476067 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635776365282 0.107079899112 ==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_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 436063381/1504058175*c_0101_6^12 + 557555129/1504058175*c_0101_6^11 + 86432687/60162327*c_0101_6^10 + 247360742/167117575*c_0101_6^9 - 590132722/501352725*c_0101_6^8 - 14868068402/1504058175*c_0101_6^7 - 827877629/100270545*c_0101_6^6 + 169739002/17288025*c_0101_6^5 + 2448917416/501352725*c_0101_6^4 - 21309343852/1504058175*c_0101_6^3 - 141152126/1504058175*c_0101_6^2 + 20593651283/1504058175*c_0101_6 + 1018078034/501352725, c_0011_0 - 1, c_0011_4 - 733156/6684703*c_0101_6^12 + 3612941/20054109*c_0101_6^11 + 9676280/20054109*c_0101_6^10 + 9603725/20054109*c_0101_6^9 - 4846291/6684703*c_0101_6^8 - 27102775/6684703*c_0101_6^7 - 47309315/20054109*c_0101_6^6 + 1105761/230507*c_0101_6^5 + 27271097/6684703*c_0101_6^4 - 15036229/6684703*c_0101_6^3 - 22392706/20054109*c_0101_6^2 + 20202349/20054109*c_0101_6 + 5951285/20054109, c_0101_0 - 570305/20054109*c_0101_6^12 - 2551795/20054109*c_0101_6^11 + 6628499/20054109*c_0101_6^10 + 19590085/20054109*c_0101_6^9 + 6783077/6684703*c_0101_6^8 - 34530391/20054109*c_0101_6^7 - 145593406/20054109*c_0101_6^6 - 1401100/230507*c_0101_6^5 + 36734644/6684703*c_0101_6^4 + 168555001/20054109*c_0101_6^3 + 11857720/6684703*c_0101_6^2 + 3744245/6684703*c_0101_6 + 3906958/20054109, c_0101_1 - 8289902/60162327*c_0101_6^12 - 3480317/60162327*c_0101_6^11 + 60284647/60162327*c_0101_6^10 + 37056743/20054109*c_0101_6^9 + 18425620/20054109*c_0101_6^8 - 379457377/60162327*c_0101_6^7 - 273389489/20054109*c_0101_6^6 - 895503/230507*c_0101_6^5 + 244553197/20054109*c_0101_6^4 + 648928720/60162327*c_0101_6^3 + 116602031/60162327*c_0101_6^2 + 29205775/60162327*c_0101_6 - 378422/6684703, c_0101_2 - 1611685/20054109*c_0101_6^12 + 326860/20054109*c_0101_6^11 + 8919355/20054109*c_0101_6^10 + 20617886/20054109*c_0101_6^9 + 2782901/6684703*c_0101_6^8 - 66686546/20054109*c_0101_6^7 - 136124090/20054109*c_0101_6^6 - 643391/230507*c_0101_6^5 + 38620023/6684703*c_0101_6^4 + 160302755/20054109*c_0101_6^3 + 11064731/6684703*c_0101_6^2 - 6718997/6684703*c_0101_6 + 3564023/20054109, c_0101_5 - 11770219/60162327*c_0101_6^12 + 7064918/60162327*c_0101_6^11 + 63686150/60162327*c_0101_6^10 + 38902559/20054109*c_0101_6^9 + 5235155/20054109*c_0101_6^8 - 470114468/60162327*c_0101_6^7 - 251819426/20054109*c_0101_6^6 - 276130/230507*c_0101_6^5 + 239798717/20054109*c_0101_6^4 + 549993299/60162327*c_0101_6^3 + 112648198/60162327*c_0101_6^2 - 7359631/60162327*c_0101_6 + 10628941/20054109, c_0101_6^13 - 6*c_0101_6^11 - 13*c_0101_6^10 - 6*c_0101_6^9 + 41*c_0101_6^8 + 88*c_0101_6^7 + 36*c_0101_6^6 - 69*c_0101_6^5 - 80*c_0101_6^4 - 26*c_0101_6^3 - 4*c_0101_6^2 - 4*c_0101_6 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB