Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 1309659723] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s462 geometric_solution 4.80549336 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 1230 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 -1 0 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 0.302875950838 0.696282347663 0 4 3 4 0132 0132 0321 1023 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 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 1 0 -1 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 0.675474673178 0.975708353103 3 0 5 5 1230 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701248830798 2.752333859200 0 2 1 0 3012 3012 0321 0132 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 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718098967738 0.717231941305 4 1 4 1 2310 0132 3201 1023 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 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 0.617408256353 0.228999477375 2 5 2 5 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.502101703931 0.558705934603 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : negation(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_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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 29 Groebner basis: [ t - 447395*c_0101_4^28 + 1581159/2*c_0101_4^27 + 14341415/2*c_0101_4^26 - 29973869/2*c_0101_4^25 - 106718923/2*c_0101_4^24 + 246030807/2*c_0101_4^23 + 492742853/2*c_0101_4^22 - 578104759*c_0101_4^21 - 1545220669/2*c_0101_4^20 + 1758373348*c_0101_4^19 + 1714883038*c_0101_4^18 - 3703255786*c_0101_4^17 - 5657123839/2*c_0101_4^16 + 11004400055/2*c_0101_4^15 + 3568235097*c_0101_4^14 - 5713101013*c_0101_4^13 - 6768738531/2*c_0101_4^12 + 8170967559/2*c_0101_4^11 + 4637744917/2*c_0101_4^10 - 1983801165*c_0101_4^9 - 2211522127/2*c_0101_4^8 + 639999028*c_0101_4^7 + 708202827/2*c_0101_4^6 - 131190195*c_0101_4^5 - 72315640*c_0101_4^4 + 30942669/2*c_0101_4^3 + 16999283/2*c_0101_4^2 - 1600297/2*c_0101_4 - 875271/2, c_0011_0 - 1, c_0011_3 - 105*c_0101_4^28 + 383*c_0101_4^27 + 985*c_0101_4^26 - 5385*c_0101_4^25 - 2847*c_0101_4^24 + 34776*c_0101_4^23 - 3680*c_0101_4^22 - 134582*c_0101_4^21 + 51994*c_0101_4^20 + 346279*c_0101_4^19 - 183340*c_0101_4^18 - 628505*c_0101_4^17 + 369482*c_0101_4^16 + 829349*c_0101_4^15 - 478529*c_0101_4^14 - 800554*c_0101_4^13 + 414669*c_0101_4^12 + 560912*c_0101_4^11 - 244837*c_0101_4^10 - 281050*c_0101_4^9 + 98822*c_0101_4^8 + 98380*c_0101_4^7 - 26868*c_0101_4^6 - 23070*c_0101_4^5 + 4714*c_0101_4^4 + 3316*c_0101_4^3 - 483*c_0101_4^2 - 226*c_0101_4 + 22, c_0011_5 - 78935*c_0101_4^28 + 253741*c_0101_4^27 + 831081*c_0101_4^26 - 3608775*c_0101_4^25 - 3567952*c_0101_4^24 + 23573525*c_0101_4^23 + 7477769*c_0101_4^22 - 91959026*c_0101_4^21 - 4437387*c_0101_4^20 + 237898503*c_0101_4^19 - 15881698*c_0101_4^18 - 433883772*c_0101_4^17 + 38410223*c_0101_4^16 + 571429240*c_0101_4^15 - 24129510*c_0101_4^14 - 539933087*c_0101_4^13 - 21583953*c_0101_4^12 + 359318531*c_0101_4^11 + 46541410*c_0101_4^10 - 164956223*c_0101_4^9 - 34923126*c_0101_4^8 + 50828358*c_0101_4^7 + 14350316*c_0101_4^6 - 10015336*c_0101_4^5 - 3423589*c_0101_4^4 + 1140083*c_0101_4^3 + 446872*c_0101_4^2 - 57086*c_0101_4 - 24797, c_0101_0 - 5*c_0101_4^28 + 18*c_0101_4^27 + 48*c_0101_4^26 - 255*c_0101_4^25 - 150*c_0101_4^24 + 1661*c_0101_4^23 - 89*c_0101_4^22 - 6492*c_0101_4^21 + 2171*c_0101_4^20 + 16902*c_0101_4^19 - 8029*c_0101_4^18 - 31116*c_0101_4^17 + 16495*c_0101_4^16 + 41760*c_0101_4^15 - 21584*c_0101_4^14 - 41138*c_0101_4^13 + 18815*c_0101_4^12 + 29565*c_0101_4^11 - 11147*c_0101_4^10 - 15322*c_0101_4^9 + 4507*c_0101_4^8 + 5629*c_0101_4^7 - 1226*c_0101_4^6 - 1425*c_0101_4^5 + 215*c_0101_4^4 + 236*c_0101_4^3 - 22*c_0101_4^2 - 22*c_0101_4 + 1, c_0101_2 - 54725*c_0101_4^28 + 251740*c_0101_4^27 + 307427*c_0101_4^26 - 3220220*c_0101_4^25 + 1266925*c_0101_4^24 + 18591433*c_0101_4^23 - 18671546*c_0101_4^22 - 62978816*c_0101_4^21 + 87691097*c_0101_4^20 + 137170377*c_0101_4^19 - 239390849*c_0101_4^18 - 200278308*c_0101_4^17 + 429691276*c_0101_4^16 + 199997538*c_0101_4^15 - 529208076*c_0101_4^14 - 137588733*c_0101_4^13 + 454078980*c_0101_4^12 + 65070002*c_0101_4^11 - 272172481*c_0101_4^10 - 20818406*c_0101_4^9 + 113078832*c_0101_4^8 + 4318007*c_0101_4^7 - 31839612*c_0101_4^6 - 525347*c_0101_4^5 + 5789107*c_0101_4^4 + 28421*c_0101_4^3 - 612722*c_0101_4^2 + 22*c_0101_4 + 28656, c_0101_4^29 - 18/5*c_0101_4^28 - 48/5*c_0101_4^27 + 51*c_0101_4^26 + 30*c_0101_4^25 - 1661/5*c_0101_4^24 + 89/5*c_0101_4^23 + 6492/5*c_0101_4^22 - 2171/5*c_0101_4^21 - 16902/5*c_0101_4^20 + 8029/5*c_0101_4^19 + 31116/5*c_0101_4^18 - 3299*c_0101_4^17 - 8352*c_0101_4^16 + 21584/5*c_0101_4^15 + 41138/5*c_0101_4^14 - 3763*c_0101_4^13 - 5913*c_0101_4^12 + 11147/5*c_0101_4^11 + 15322/5*c_0101_4^10 - 4507/5*c_0101_4^9 - 5629/5*c_0101_4^8 + 1226/5*c_0101_4^7 + 285*c_0101_4^6 - 43*c_0101_4^5 - 236/5*c_0101_4^4 + 22/5*c_0101_4^3 + 23/5*c_0101_4^2 - 1/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB