Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2530675689] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2962 geometric_solution 6.14719163 oriented_manifold CS_known 0.0000000000000000 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 1 0 0 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414181413780 1.442574056589 0 3 5 4 0132 0132 0132 0132 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 1 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451330286540 0.739919350515 3 0 4 5 2310 0132 3201 3201 0 0 0 0 0 1 -1 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 -1 1 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 0.451330286540 0.739919350515 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 0 0 0 0 0 0 0 0 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 0.092038424497 0.937291959044 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 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 0 1 -1 0 0 -1 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986367939297 0.465760673152 5 2 5 1 2031 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0.881643398670 0.911448400926 4 4 6 6 3201 0132 2031 1302 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609195436810 0.194478935500 ==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' : d['c_0101_2'], 'c_1100_5' : negation(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_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], '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_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], '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_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 2688534/320771*c_0101_3*c_0110_6^12 + 28593962/320771*c_0101_3*c_0110_6^11 - 58694540/320771*c_0101_3*c_0110_6^10 - 89648728/320771*c_0101_3*c_0110_6^9 + 293815407/320771*c_0101_3*c_0110_6^8 + 1439219/320771*c_0101_3*c_0110_6^7 - 299153171/320771*c_0101_3*c_0110_6^6 - 27835116/320771*c_0101_3*c_0110_6^5 + 202038429/320771*c_0101_3*c_0110_6^4 + 41013589/320771*c_0101_3*c_0110_6^3 - 69688834/320771*c_0101_3*c_0110_6^2 - 22828626/320771*c_0101_3*c_0110_6 + 6179961/320771*c_0101_3, c_0011_0 - 1, c_0011_4 - 55545/320771*c_0101_3*c_0110_6^12 + 548144/320771*c_0101_3*c_0110_6^11 - 755115/320771*c_0101_3*c_0110_6^10 - 2871870/320771*c_0101_3*c_0110_6^9 + 5210608/320771*c_0101_3*c_0110_6^8 + 3803737/320771*c_0101_3*c_0110_6^7 - 7803691/320771*c_0101_3*c_0110_6^6 - 733912/320771*c_0101_3*c_0110_6^5 + 3160132/320771*c_0101_3*c_0110_6^4 + 1133047/320771*c_0101_3*c_0110_6^3 - 930167/320771*c_0101_3*c_0110_6^2 + 75813/320771*c_0101_3*c_0110_6 - 66419/320771*c_0101_3, c_0101_0 + 38882/320771*c_0110_6^12 - 420853/320771*c_0110_6^11 + 889560/320771*c_0110_6^10 + 1538333/320771*c_0110_6^9 - 5421484/320771*c_0110_6^8 + 185764/320771*c_0110_6^7 + 7625599/320771*c_0110_6^6 - 2482498/320771*c_0110_6^5 - 2852868/320771*c_0110_6^4 - 501384/320771*c_0110_6^3 + 1508014/320771*c_0110_6^2 + 207642/320771*c_0110_6 + 180141/320771, c_0101_1 - 9271/320771*c_0110_6^12 + 102816/320771*c_0110_6^11 - 270377/320771*c_0110_6^10 + 30342/320771*c_0110_6^9 + 630800/320771*c_0110_6^8 - 1136422/320771*c_0110_6^7 + 1307909/320771*c_0110_6^6 + 165870/320771*c_0110_6^5 - 905750/320771*c_0110_6^4 - 463167/320771*c_0110_6^3 + 980953/320771*c_0110_6^2 + 44183/320771*c_0110_6 - 72343/320771, c_0101_2 - 41845/320771*c_0101_3*c_0110_6^12 + 400153/320771*c_0101_3*c_0110_6^11 - 439930/320771*c_0101_3*c_0110_6^10 - 2370568/320771*c_0101_3*c_0110_6^9 + 3359975/320771*c_0101_3*c_0110_6^8 + 4140010/320771*c_0101_3*c_0110_6^7 - 5429401/320771*c_0101_3*c_0110_6^6 - 2270384/320771*c_0101_3*c_0110_6^5 + 2378876/320771*c_0101_3*c_0110_6^4 + 1519117/320771*c_0101_3*c_0110_6^3 + 44140/320771*c_0101_3*c_0110_6^2 - 201089/320771*c_0101_3*c_0110_6 + 22449/320771*c_0101_3, c_0101_3^2 - 43600/320771*c_0110_6^12 + 473262/320771*c_0110_6^11 - 1063463/320771*c_0110_6^10 - 1138503/320771*c_0110_6^9 + 4858270/320771*c_0110_6^8 - 1328065/320771*c_0110_6^7 - 3693705/320771*c_0110_6^6 + 377676/320771*c_0110_6^5 + 2029645/320771*c_0110_6^4 + 366177/320771*c_0110_6^3 - 317261/320771*c_0110_6^2 - 243427/320771*c_0110_6 - 301997/320771, c_0110_6^13 - 11*c_0110_6^12 + 26*c_0110_6^11 + 22*c_0110_6^10 - 112*c_0110_6^9 + 42*c_0110_6^8 + 73*c_0110_6^7 - 57*c_0110_6^5 - 3*c_0110_6^4 + 11*c_0110_6^3 + 5*c_0110_6^2 + c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB