Magma V2.19-8 Tue Aug 20 2013 16:17:42 on localhost [Seed = 21011948] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1938 geometric_solution 5.52716359 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 0132 0 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 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 -0.325006820441 0.674253791693 0 2 3 4 0132 1302 1230 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 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 0.274472910991 0.979309943650 0 0 5 1 2103 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 -0.019366911222 0.898436341232 6 5 0 1 0132 1023 0132 3012 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 -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 -0.601774795517 0.426052045232 6 6 1 5 3201 3120 0132 2031 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 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 0.331135425071 0.381886861356 3 4 6 2 1023 1302 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.067258449018 0.682219435206 3 4 5 4 0132 3120 0321 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 -0.296088693131 1.494733591104 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_5']})} 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_5, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 589037429360/14719362827*c_1001_4^11 + 1114673632310/14719362827*c_1001_4^10 - 4817874554992/14719362827*c_1001_4^9 - 10974253636958/14719362827*c_1001_4^8 + 26328726772625/14719362827*c_1001_4^7 + 23387594567756/14719362827*c_1001_4^6 - 27761024404250/14719362827*c_1001_4^5 - 13871509072259/14719362827*c_1001_4^4 + 19873873976647/14719362827*c_1001_4^3 + 12426406792695/14719362827*c_1001_4^2 - 1499580315338/14719362827*c_1001_4 - 1892881739386/14719362827, c_0011_0 - 1, c_0011_3 + c_1001_4, c_0011_4 + 3482170926/1132258679*c_1001_4^11 + 4062480820/1132258679*c_1001_4^10 - 31427488100/1132258679*c_1001_4^9 - 41923862157/1132258679*c_1001_4^8 + 186401231068/1132258679*c_1001_4^7 + 1926350439/1132258679*c_1001_4^6 - 168674250442/1132258679*c_1001_4^5 + 45531067657/1132258679*c_1001_4^4 + 93495476490/1132258679*c_1001_4^3 + 30070521/1132258679*c_1001_4^2 - 13202132321/1132258679*c_1001_4 + 2872732163/1132258679, c_0101_0 - 3457847022/1132258679*c_1001_4^11 - 3762115382/1132258679*c_1001_4^10 + 31489349946/1132258679*c_1001_4^9 + 39243986571/1132258679*c_1001_4^8 - 187900286491/1132258679*c_1001_4^7 + 12167893704/1132258679*c_1001_4^6 + 164324454928/1132258679*c_1001_4^5 - 53200956849/1132258679*c_1001_4^4 - 87143068047/1132258679*c_1001_4^3 + 3692226287/1132258679*c_1001_4^2 + 13603076793/1132258679*c_1001_4 - 2810623370/1132258679, c_0101_5 + 1394209354/1132258679*c_1001_4^11 + 1823064494/1132258679*c_1001_4^10 - 12494708182/1132258679*c_1001_4^9 - 18669681607/1132258679*c_1001_4^8 + 73497946271/1132258679*c_1001_4^7 + 12379017570/1132258679*c_1001_4^6 - 74761567721/1132258679*c_1001_4^5 + 12652678267/1132258679*c_1001_4^4 + 41917299653/1132258679*c_1001_4^3 + 1999662899/1132258679*c_1001_4^2 - 6338635015/1132258679*c_1001_4 + 613744743/1132258679, c_0110_2 - 3196115606/1132258679*c_1001_4^11 - 4508644318/1132258679*c_1001_4^10 + 27796545392/1132258679*c_1001_4^9 + 45340826015/1132258679*c_1001_4^8 - 160460258769/1132258679*c_1001_4^7 - 41661772771/1132258679*c_1001_4^6 + 147194261638/1132258679*c_1001_4^5 - 5190172873/1132258679*c_1001_4^4 - 89770091770/1132258679*c_1001_4^3 - 20380720597/1132258679*c_1001_4^2 + 7522438304/1132258679*c_1001_4 - 966183167/1132258679, c_1001_4^12 + 2*c_1001_4^11 - 8*c_1001_4^10 - 39/2*c_1001_4^9 + 43*c_1001_4^8 + 89/2*c_1001_4^7 - 45*c_1001_4^6 - 27*c_1001_4^5 + 69/2*c_1001_4^4 + 45/2*c_1001_4^3 - 2*c_1001_4^2 - 2*c_1001_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB