Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 4299977] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1649 geometric_solution 5.39159442 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253957765986 0.685124713121 3 2 4 0 0132 3012 0132 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 0 0 0 -1 0 1 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 0.741376195077 1.156397230210 1 3 0 4 1230 0132 0132 2310 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 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 0.741376195077 1.156397230210 1 2 3 3 0132 0132 2031 1302 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 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 0.661079387687 0.797944062331 2 5 5 1 3201 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 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150059563433 0.457074880936 4 4 6 6 2310 0132 2310 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 2.657265159653 1.661567531299 6 5 5 6 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.542967963616 0.155782921508 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 376/25*c_0101_5^7 + 1096/25*c_0101_5^6 + 3431/25*c_0101_5^5 - 1566/5*c_0101_5^4 + 66/25*c_0101_5^3 + 5354/25*c_0101_5^2 - 902/25*c_0101_5 - 1293/25, c_0011_0 - 1, c_0011_1 - 19/25*c_0101_5^7 + 54/25*c_0101_5^6 + 169/25*c_0101_5^5 - 73/5*c_0101_5^4 + 64/25*c_0101_5^3 + 166/25*c_0101_5^2 - 78/25*c_0101_5 - 12/25, c_0011_4 - 1/25*c_0101_5^7 + 21/25*c_0101_5^6 - 44/25*c_0101_5^5 - 36/5*c_0101_5^4 + 366/25*c_0101_5^3 - 46/25*c_0101_5^2 - 152/25*c_0101_5 + 57/25, c_0011_6 + 4/25*c_0101_5^7 - 19/25*c_0101_5^6 - 9/25*c_0101_5^5 + 27/5*c_0101_5^4 - 209/25*c_0101_5^3 + 29/25*c_0101_5^2 + 88/25*c_0101_5 - 38/25, c_0101_0 + 4/25*c_0101_5^7 - 19/25*c_0101_5^6 - 9/25*c_0101_5^5 + 27/5*c_0101_5^4 - 209/25*c_0101_5^3 + 29/25*c_0101_5^2 + 88/25*c_0101_5 - 13/25, c_0101_1 - 26/25*c_0101_5^7 + 81/25*c_0101_5^6 + 216/25*c_0101_5^5 - 114/5*c_0101_5^4 + 161/25*c_0101_5^3 + 234/25*c_0101_5^2 - 82/25*c_0101_5 - 8/25, c_0101_5^8 - 3*c_0101_5^7 - 9*c_0101_5^6 + 22*c_0101_5^5 - c_0101_5^4 - 17*c_0101_5^3 + 5*c_0101_5^2 + 4*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 29780456966116/1484106023619*c_0101_5^13 - 39073789377242/494702007873*c_0101_5^12 + 14031352672127/164900669291*c_0101_5^11 + 139503398676185/1484106023619*c_0101_5^10 - 663048624568337/1484106023619*c_0101_5^9 + 312075537093169/1484106023619*c_0101_5^8 - 118093775706047/494702007873*c_0101_5^7 + 798509090617159/1484106023619*c_0101_5^6 + 898707012890863/1484106023619*c_0101_5^5 - 2194100860957436/1484106023619*c_0101_5^4 + 2622930144726722/1484106023619*c_0101_5^3 - 2659698712063418/1484106023619*c_0101_5^2 + 1651828515482815/1484106023619*c_0101_5 - 277167321393412/1484106023619, c_0011_0 - 1, c_0011_1 - 54660629635/494702007873*c_0101_5^13 - 209519556520/494702007873*c_0101_5^12 + 277984075067/494702007873*c_0101_5^11 + 342129187217/494702007873*c_0101_5^10 - 425802678635/164900669291*c_0101_5^9 + 186026569463/164900669291*c_0101_5^8 - 234016903589/494702007873*c_0101_5^7 + 1561742002598/494702007873*c_0101_5^6 + 1672248688090/494702007873*c_0101_5^5 - 4573409449882/494702007873*c_0101_5^4 + 4268634669470/494702007873*c_0101_5^3 - 4290118471780/494702007873*c_0101_5^2 + 2212805669044/494702007873*c_0101_5 + 34490334992/494702007873, c_0011_4 - 45146721835/494702007873*c_0101_5^13 - 215458289410/494702007873*c_0101_5^12 + 15969276821/494702007873*c_0101_5^11 + 235591925666/494702007873*c_0101_5^10 - 286453697834/164900669291*c_0101_5^9 - 77159419023/164900669291*c_0101_5^8 - 543396710636/494702007873*c_0101_5^7 + 567934231982/494702007873*c_0101_5^6 + 1805458454050/494702007873*c_0101_5^5 - 1939598613223/494702007873*c_0101_5^4 + 2739240893453/494702007873*c_0101_5^3 - 1315458658792/494702007873*c_0101_5^2 + 365386238635/494702007873*c_0101_5 + 239045350976/494702007873, c_0011_6 + 62190815318/494702007873*c_0101_5^13 + 283512938083/494702007873*c_0101_5^12 - 96010398292/494702007873*c_0101_5^11 - 384276372998/494702007873*c_0101_5^10 + 397364245081/164900669291*c_0101_5^9 + 42180911340/164900669291*c_0101_5^8 + 543819090766/494702007873*c_0101_5^7 - 401489908580/164900669291*c_0101_5^6 - 2646592267600/494702007873*c_0101_5^5 + 2907798679391/494702007873*c_0101_5^4 - 3410795650421/494702007873*c_0101_5^3 + 2591439786530/494702007873*c_0101_5^2 - 285750053189/164900669291*c_0101_5 - 350078789444/494702007873, c_0101_0 - 19805204650/494702007873*c_0101_5^13 - 90367427650/494702007873*c_0101_5^12 + 32423543015/494702007873*c_0101_5^11 + 138176817281/494702007873*c_0101_5^10 - 118802669108/164900669291*c_0101_5^9 - 16440249484/164900669291*c_0101_5^8 - 99540507098/494702007873*c_0101_5^7 + 540756316574/494702007873*c_0101_5^6 + 819340042837/494702007873*c_0101_5^5 - 794802503914/494702007873*c_0101_5^4 + 1156164190466/494702007873*c_0101_5^3 - 668580379636/494702007873*c_0101_5^2 + 247928331583/494702007873*c_0101_5 - 357645147313/494702007873, c_0101_1 - 43514020585/494702007873*c_0101_5^13 - 162722280935/494702007873*c_0101_5^12 + 238833281036/494702007873*c_0101_5^11 + 262822692241/494702007873*c_0101_5^10 - 349946815201/164900669291*c_0101_5^9 + 146587654779/164900669291*c_0101_5^8 - 259837899263/494702007873*c_0101_5^7 + 458722836187/164900669291*c_0101_5^6 + 1041076457204/494702007873*c_0101_5^5 - 4085741654398/494702007873*c_0101_5^4 + 3293383063156/494702007873*c_0101_5^3 - 3567591775513/494702007873*c_0101_5^2 + 823808264369/164900669291*c_0101_5 + 14685130342/494702007873, c_0101_5^14 + 4*c_0101_5^13 - 4*c_0101_5^12 - 5*c_0101_5^11 + 22*c_0101_5^10 - 9*c_0101_5^9 + 11*c_0101_5^8 - 26*c_0101_5^7 - 32*c_0101_5^6 + 72*c_0101_5^5 - 83*c_0101_5^4 + 83*c_0101_5^3 - 49*c_0101_5^2 + 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB