Magma V2.19-8 Wed Aug 21 2013 01:02:52 on localhost [Seed = 3002378590] Type ? for help. Type -D to quit. Loading file "L14n1605__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1605 geometric_solution 12.55175922 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 1 -1 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772863915509 0.934099289461 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411465637396 0.588400145352 8 0 9 9 0132 0132 2103 0132 1 0 1 1 0 0 0 0 2 0 -2 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600796263271 0.795962198711 8 8 9 0 2031 0321 2031 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 -1 2 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 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600796263271 0.795962198711 5 6 0 7 0132 0132 0132 0132 1 1 1 1 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 -1 1 -1 0 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411465637396 0.588400145352 4 1 10 11 0132 0132 0132 0132 1 1 1 1 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 1 0 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.966874907078 0.908884379596 8 4 1 9 1023 0132 0132 2031 1 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772863915509 0.934099289461 12 11 4 1 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 -1 0 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.966874907078 0.908884379596 2 6 3 3 0132 1023 1302 0321 1 0 1 1 0 0 0 0 -2 0 1 1 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 1 0 -1 0 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600796263271 0.795962198711 2 6 2 3 2103 1302 0132 1302 1 0 1 1 0 0 0 0 2 0 0 -2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395888354947 0.800354567196 12 11 12 5 3120 0321 3012 0132 1 1 1 1 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 -1 1 0 0 0 0 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711863769032 0.986381244707 12 7 5 10 2103 0132 0132 0321 1 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 0 0 0 -1 0 1 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 0.631950828170 0.372053355022 7 10 11 10 0132 1230 2103 3120 1 1 1 1 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 0 0 0 2 1 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711863769032 0.986381244707 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : negation(d['c_1010_9']), 'c_1100_6' : negation(d['c_1010_9']), 'c_1100_1' : negation(d['c_1010_9']), 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0110_6'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : 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_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 131815/2178*c_1001_5^3 + 291953/2178*c_1001_5^2 - 14690/121*c_1001_5 + 90325/2178, c_0011_0 - 1, c_0011_10 + 5*c_1001_5^3 - 11*c_1001_5^2 + 8*c_1001_5 - 2, c_0011_11 + 5*c_1001_5^3 - 6*c_1001_5^2 + 3*c_1001_5, c_0011_3 + 1, c_0011_9 + 10*c_1001_5^3 - 22*c_1001_5^2 + 18*c_1001_5 - 5, c_0101_0 - 10*c_1001_5^3 + 22*c_1001_5^2 - 18*c_1001_5 + 5, c_0101_1 + c_1001_5, c_0101_3 - 1, c_0101_5 - 10*c_1001_5^3 + 17*c_1001_5^2 - 12*c_1001_5 + 3, c_0110_6 + 10*c_1001_5^3 - 22*c_1001_5^2 + 18*c_1001_5 - 6, c_1001_1 + 10*c_1001_5^3 - 17*c_1001_5^2 + 12*c_1001_5 - 3, c_1001_5^4 - 11/5*c_1001_5^3 + 11/5*c_1001_5^2 - c_1001_5 + 1/5, c_1010_9 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3141/896*c_1001_5^4 + 2349/224*c_1001_5^3 - 1443/56*c_1001_5^2 + 29643/896*c_1001_5 - 11383/896, c_0011_0 - 1, c_0011_10 - 1/7*c_1001_5^4 - 1/7*c_1001_5^3 + 1/7*c_1001_5^2 - 6/7*c_1001_5 - 3/7, c_0011_11 - 3/7*c_1001_5^4 + 4/7*c_1001_5^3 - 11/7*c_1001_5^2 - 4/7*c_1001_5 + 5/7, c_0011_3 + 1, c_0011_9 - 5/7*c_1001_5^4 + 2/7*c_1001_5^3 - 16/7*c_1001_5^2 - 9/7*c_1001_5 + 6/7, c_0101_0 + 5/7*c_1001_5^4 - 2/7*c_1001_5^3 + 16/7*c_1001_5^2 + 9/7*c_1001_5 - 6/7, c_0101_1 + c_1001_5, c_0101_3 - 1, c_0101_5 + 2/7*c_1001_5^4 + 2/7*c_1001_5^3 + 5/7*c_1001_5^2 + 12/7*c_1001_5 - 1/7, c_0110_6 - 5/7*c_1001_5^4 + 2/7*c_1001_5^3 - 16/7*c_1001_5^2 - 9/7*c_1001_5 - 1/7, c_1001_1 - 2/7*c_1001_5^4 - 2/7*c_1001_5^3 - 5/7*c_1001_5^2 - 12/7*c_1001_5 + 1/7, c_1001_5^5 - c_1001_5^4 + 4*c_1001_5^3 + c_1001_5^2 - 2*c_1001_5 + 1, c_1010_9 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1275788327/91236775*c_1001_5^7 - 336281023/36494710*c_1001_5^6 + 112336718/91236775*c_1001_5^5 - 379993049/182473550*c_1001_5^4 + 166501514/13033825*c_1001_5^3 + 172082419/13033825*c_1001_5^2 + 238471613/91236775*c_1001_5 + 123336968/91236775, c_0011_0 - 1, c_0011_10 - 81994/74479*c_1001_5^7 + 195233/74479*c_1001_5^6 + 270980/74479*c_1001_5^5 + 118793/74479*c_1001_5^4 + 124980/74479*c_1001_5^3 - 49514/74479*c_1001_5^2 - 196092/74479*c_1001_5 - 134723/74479, c_0011_11 - 14212/74479*c_1001_5^7 - 152128/74479*c_1001_5^6 - 235200/74479*c_1001_5^5 - 129147/74479*c_1001_5^4 - 126376/74479*c_1001_5^3 + 31405/74479*c_1001_5^2 + 155776/74479*c_1001_5 + 98129/74479, c_0011_3 + 1, c_0011_9 - 5258/74479*c_1001_5^7 - 122230/74479*c_1001_5^6 + 25970/74479*c_1001_5^5 - 24376/74479*c_1001_5^4 - 84110/74479*c_1001_5^3 + 85752/74479*c_1001_5^2 + 62244/74479*c_1001_5 - 4163/74479, c_0101_0 + 5258/74479*c_1001_5^7 + 122230/74479*c_1001_5^6 - 25970/74479*c_1001_5^5 + 24376/74479*c_1001_5^4 + 84110/74479*c_1001_5^3 - 85752/74479*c_1001_5^2 - 62244/74479*c_1001_5 + 4163/74479, c_0101_1 + c_1001_5, c_0101_3 + 1, c_0101_5 + 120318/74479*c_1001_5^7 + 95782/74479*c_1001_5^6 + 318/74479*c_1001_5^5 + 112788/74479*c_1001_5^4 + 5050/74479*c_1001_5^3 - 71605/74479*c_1001_5^2 + 13530/74479*c_1001_5 + 1773/74479, c_0110_6 - 5258/74479*c_1001_5^7 - 122230/74479*c_1001_5^6 + 25970/74479*c_1001_5^5 - 24376/74479*c_1001_5^4 - 84110/74479*c_1001_5^3 + 85752/74479*c_1001_5^2 + 62244/74479*c_1001_5 + 70316/74479, c_1001_1 - 120318/74479*c_1001_5^7 - 95782/74479*c_1001_5^6 - 318/74479*c_1001_5^5 - 112788/74479*c_1001_5^4 - 5050/74479*c_1001_5^3 + 71605/74479*c_1001_5^2 - 13530/74479*c_1001_5 - 1773/74479, c_1001_5^8 + 15/11*c_1001_5^7 + 1/11*c_1001_5^6 - 4/11*c_1001_5^5 - 9/11*c_1001_5^4 - 14/11*c_1001_5^3 - 4/11*c_1001_5^2 + 6/11*c_1001_5 + 5/11, c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB