Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 3852761379] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2194 geometric_solution 5.65044599 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232347524608 1.278830977832 0 3 2 4 0132 0132 0213 0132 0 0 0 0 0 -1 1 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 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 0.723674314140 0.629822329648 4 1 5 0 3201 0213 0132 0132 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 1 0 -1 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 0.723674314140 0.629822329648 4 1 5 6 0132 0132 3201 0132 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 0.566389801438 0.885438459865 3 5 1 2 0132 3201 0132 2310 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 -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 0.580888077232 0.037972588000 3 6 4 2 2310 1023 2310 0132 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 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 0.566389801438 0.885438459865 5 6 3 6 1023 2310 0132 3201 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 0 0 0 0 -0.512663361284 0.801447794244 ==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' : 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' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 61988006083146687/2574226909039400*c_0110_6^13 + 24356364848659658/321778363629925*c_0110_6^12 + 1332517094622433443/2574226909039400*c_0110_6^11 + 2434138319272273299/2574226909039400*c_0110_6^10 + 861137476297038029/1287113454519700*c_0110_6^9 + 2469638470911370873/2574226909039400*c_0110_6^8 - 105554565594861847/1287113454519700*c_0110_6^7 - 292652972859709421/257422690903940*c_0110_6^6 - 823144577288074847/2574226909039400*c_0110_6^5 - 1648055327247490527/1287113454519700*c_0110_6^4 - 2465177994481194197/2574226909039400*c_0110_6^3 + 1040449359833388487/1287113454519700*c_0110_6^2 + 888463520034808337/2574226909039400*c_0110_6 + 655558054671825723/2574226909039400, c_0011_0 - 1, c_0011_2 - 5354086003409/51484538180788*c_0110_6^13 - 3808492255200/12871134545197*c_0110_6^12 - 109578688779841/51484538180788*c_0110_6^11 - 173511521458145/51484538180788*c_0110_6^10 - 36245527759665/25742269090394*c_0110_6^9 - 129142464736567/51484538180788*c_0110_6^8 + 68223284263379/25742269090394*c_0110_6^7 + 161152998050045/25742269090394*c_0110_6^6 + 66898850755621/51484538180788*c_0110_6^5 + 132675795379885/25742269090394*c_0110_6^4 + 129564196605987/51484538180788*c_0110_6^3 - 133614360403883/25742269090394*c_0110_6^2 - 96301089643759/51484538180788*c_0110_6 - 34650436085653/51484538180788, c_0011_5 + 1163478058539/25742269090394*c_0110_6^13 + 2447072220298/12871134545197*c_0110_6^12 + 28884679678825/25742269090394*c_0110_6^11 + 72190809555523/25742269090394*c_0110_6^10 + 40393034422978/12871134545197*c_0110_6^9 + 80078323120869/25742269090394*c_0110_6^8 + 25290530845426/12871134545197*c_0110_6^7 - 25085479772315/12871134545197*c_0110_6^6 - 53786859174705/25742269090394*c_0110_6^5 - 23055437765594/12871134545197*c_0110_6^4 - 110642488162655/25742269090394*c_0110_6^3 - 3126633284132/12871134545197*c_0110_6^2 + 33212761261095/25742269090394*c_0110_6 + 1765827935895/25742269090394, c_0101_0 - 248489727795/12871134545197*c_0110_6^13 - 676970013229/12871134545197*c_0110_6^12 - 4398208232663/12871134545197*c_0110_6^11 - 5656389498632/12871134545197*c_0110_6^10 + 10517297634787/12871134545197*c_0110_6^9 + 16594937472561/12871134545197*c_0110_6^8 + 26655424480861/12871134545197*c_0110_6^7 + 47581862129599/12871134545197*c_0110_6^6 + 13517866597375/12871134545197*c_0110_6^5 + 9492298678531/12871134545197*c_0110_6^4 + 3939220597839/12871134545197*c_0110_6^3 - 43763865539107/12871134545197*c_0110_6^2 - 32617559076208/12871134545197*c_0110_6 - 276593189642/12871134545197, c_0101_2 + 4148138923865/51484538180788*c_0110_6^13 + 3023382850572/12871134545197*c_0110_6^12 + 88560511058693/51484538180788*c_0110_6^11 + 149873893149681/51484538180788*c_0110_6^10 + 64830041533721/25742269090394*c_0110_6^9 + 231466559809903/51484538180788*c_0110_6^8 + 15100967381815/25742269090394*c_0110_6^7 - 42016174132139/25742269090394*c_0110_6^6 - 20573799679661/51484538180788*c_0110_6^5 - 144454371305307/25742269090394*c_0110_6^4 - 174982982487551/51484538180788*c_0110_6^3 + 35666709658437/25742269090394*c_0110_6^2 - 49782693683249/51484538180788*c_0110_6 + 54043058514853/51484538180788, c_0101_5 + 4148138923865/51484538180788*c_0110_6^13 + 3023382850572/12871134545197*c_0110_6^12 + 88560511058693/51484538180788*c_0110_6^11 + 149873893149681/51484538180788*c_0110_6^10 + 64830041533721/25742269090394*c_0110_6^9 + 231466559809903/51484538180788*c_0110_6^8 + 15100967381815/25742269090394*c_0110_6^7 - 42016174132139/25742269090394*c_0110_6^6 - 20573799679661/51484538180788*c_0110_6^5 - 144454371305307/25742269090394*c_0110_6^4 - 174982982487551/51484538180788*c_0110_6^3 + 35666709658437/25742269090394*c_0110_6^2 - 49782693683249/51484538180788*c_0110_6 + 54043058514853/51484538180788, c_0110_6^14 + 3*c_0110_6^13 + 21*c_0110_6^12 + 36*c_0110_6^11 + 21*c_0110_6^10 + 33*c_0110_6^9 - 13*c_0110_6^8 - 52*c_0110_6^7 - 11*c_0110_6^6 - 53*c_0110_6^5 - 33*c_0110_6^4 + 41*c_0110_6^3 + 13*c_0110_6^2 + 10*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB