Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 947496173] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1383 geometric_solution 5.23807202 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544275677352 0.083625551240 2 0 2 0 0132 2310 1023 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660792979673 0.192157713087 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505765787798 1.410902218464 5 2 4 6 0132 0132 3012 0132 0 0 0 0 0 0 0 0 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 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 0.871054626423 1.613153468877 6 3 2 5 1023 1230 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871054626423 1.613153468877 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 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 0 -1 1 0 0 -1 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291206841231 0.416106338789 6 4 3 6 3201 1023 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484817280148 0.579474032909 ==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_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 817462236/216350381*c_0101_3*c_0101_5^7 + 351360622/216350381*c_0101_3*c_0101_5^6 - 27513556533/216350381*c_0101_3*c_0101_5^5 - 685053129/12726493*c_0101_3*c_0101_5^4 + 8457933979/12726493*c_0101_3*c_0101_5^3 + 1667781278/12726493*c_0101_3*c_0101_5^2 - 10710408590/12726493*c_0101_3*c_0101_5 - 1287037317/12726493*c_0101_3, c_0011_0 - 1, c_0011_1 - 301959/12726493*c_0101_5^7 - 147304/12726493*c_0101_5^6 + 9804510/12726493*c_0101_5^5 + 4692460/12726493*c_0101_5^4 - 42044830/12726493*c_0101_5^3 - 8337042/12726493*c_0101_5^2 + 35070018/12726493*c_0101_5 - 4055737/12726493, c_0011_4 - 624985/12726493*c_0101_3*c_0101_5^7 - 1290690/12726493*c_0101_3*c_0101_5^6 + 19385351/12726493*c_0101_3*c_0101_5^5 + 40857922/12726493*c_0101_3*c_0101_5^4 - 57916542/12726493*c_0101_3*c_0101_5^3 - 123900194/12726493*c_0101_3*c_0101_5^2 - 2081799/12726493*c_0101_3*c_0101_5 + 17963394/12726493*c_0101_3, c_0101_0 - 1100843/12726493*c_0101_3*c_0101_5^7 - 1379597/12726493*c_0101_3*c_0101_5^6 + 35115220/12726493*c_0101_3*c_0101_5^5 + 43265333/12726493*c_0101_3*c_0101_5^4 - 133091510/12726493*c_0101_3*c_0101_5^3 - 105781049/12726493*c_0101_3*c_0101_5^2 + 79026904/12726493*c_0101_3*c_0101_5 - 23756955/12726493*c_0101_3, c_0101_1 + 31640/12726493*c_0101_5^7 - 127448/12726493*c_0101_5^6 - 1287144/12726493*c_0101_5^5 + 4005492/12726493*c_0101_5^4 + 12180081/12726493*c_0101_5^3 - 16739144/12726493*c_0101_5^2 - 17050043/12726493*c_0101_5 + 12185120/12726493, c_0101_3^2 + 147304/12726493*c_0101_5^7 + 462096/12726493*c_0101_5^6 - 4692460/12726493*c_0101_5^5 - 14421503/12726493*c_0101_5^4 + 18603648/12726493*c_0101_5^3 + 29203034/12726493*c_0101_5^2 - 11344172/12726493*c_0101_5 - 5133303/12726493, c_0101_5^8 - 34*c_0101_5^6 + 187*c_0101_5^4 - 34*c_0101_5^3 - 255*c_0101_5^2 + 51*c_0101_5 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB