Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 1966401538] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3040 geometric_solution 6.21225316 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0.074690515022 0.744959892537 0 3 5 4 0132 0132 0132 0132 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 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 0.451477409687 0.853673413555 3 0 4 5 2310 0132 3201 3201 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 -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 0.451477409687 0.853673413555 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294877266682 1.159848981713 2 6 1 6 2310 0132 0132 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 -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 0.866840829251 0.570424687135 5 2 5 1 2031 2310 1302 0132 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 0.833758511907 0.659017373778 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574373426944 0.170820354466 ==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_0'], '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: 18 Groebner basis: [ t - 2700690135/31577989*c_0101_3*c_0110_6^8 + 9556391977/31577989*c_0101_3*c_0110_6^7 + 1866558005/31577989*c_0101_3*c_0110_6^6 - 37531137228/31577989*c_0101_3*c_0110_6^5 + 45507177668/31577989*c_0101_3*c_0110_6^4 - 16651430853/31577989*c_0101_3*c_0110_6^3 - 848388596/31577989*c_0101_3*c_0110_6^2 + 1144045726/31577989*c_0101_3*c_0110_6 - 435700539/31577989*c_0101_3, c_0011_0 - 1, c_0011_4 - 65122673/31577989*c_0101_3*c_0110_6^8 + 128232841/31577989*c_0101_3*c_0110_6^7 + 284714824/31577989*c_0101_3*c_0110_6^6 - 555823467/31577989*c_0101_3*c_0110_6^5 + 103692273/31577989*c_0101_3*c_0110_6^4 + 174324295/31577989*c_0101_3*c_0110_6^3 - 20284346/31577989*c_0101_3*c_0110_6^2 - 7245547/31577989*c_0101_3*c_0110_6 - 11409635/31577989*c_0101_3, c_0101_0 + 17917691/31577989*c_0110_6^8 - 74272220/31577989*c_0110_6^7 - 8825643/31577989*c_0110_6^6 + 334612289/31577989*c_0110_6^5 - 327426385/31577989*c_0110_6^4 - 33821661/31577989*c_0110_6^3 + 103842143/31577989*c_0110_6^2 + 22541356/31577989*c_0110_6 + 10855389/31577989, c_0101_1 - 83040364/31577989*c_0110_6^8 + 202505061/31577989*c_0110_6^7 + 293540467/31577989*c_0110_6^6 - 890435756/31577989*c_0110_6^5 + 431118658/31577989*c_0110_6^4 + 208145956/31577989*c_0110_6^3 - 124126489/31577989*c_0110_6^2 - 29786903/31577989*c_0110_6 + 9312965/31577989, c_0101_2 - 63301777/31577989*c_0101_3*c_0110_6^8 + 127755166/31577989*c_0101_3*c_0110_6^7 + 276318145/31577989*c_0101_3*c_0110_6^6 - 559628516/31577989*c_0101_3*c_0110_6^5 + 91034827/31577989*c_0101_3*c_0110_6^4 + 190405051/31577989*c_0101_3*c_0110_6^3 + 49539868/31577989*c_0101_3*c_0110_6^2 - 32951796/31577989*c_0101_3*c_0110_6 - 3336025/31577989*c_0101_3, c_0101_3^2 - 79398572/31577989*c_0110_6^8 + 201549711/31577989*c_0110_6^7 + 276747109/31577989*c_0110_6^6 - 898045854/31577989*c_0110_6^5 + 405803766/31577989*c_0110_6^4 + 240307468/31577989*c_0110_6^3 - 47634039/31577989*c_0110_6^2 - 81199401/31577989*c_0110_6 - 37695793/31577989, c_0110_6^9 - 3*c_0110_6^8 - 24/11*c_0110_6^7 + 138/11*c_0110_6^6 - 118/11*c_0110_6^5 + c_0110_6^4 + 12/11*c_0110_6^3 + 4/11*c_0110_6^2 - 1/11*c_0110_6 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB