Magma V2.19-8 Tue Aug 20 2013 16:16:42 on localhost [Seed = 3069651583] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0997 geometric_solution 4.88659421 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 -1 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557830670575 1.267195283532 0 0 2 3 0132 2103 3201 1023 0 0 0 0 0 -1 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 0 0 0 0 -1 0 1 -1 0 0 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 0.557830670575 1.267195283532 1 4 4 0 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436353454241 0.713619579149 5 5 0 1 0132 3201 0132 1023 0 0 0 0 0 1 0 -1 0 0 1 -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 2 -1 -1 0 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 0.061180139829 0.308845043288 2 2 4 4 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.016716771049 1.241301710798 3 6 3 6 0132 0132 2310 1023 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 2 0 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.331514522987 4.338757614250 6 5 6 5 2031 0132 1302 1023 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290441732986 0.096954191627 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_2, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5*c_0110_6^3 - 6*c_0110_6^2 - 14*c_0110_6 - 13, c_0011_0 - 1, c_0011_2 + 2*c_0101_4*c_0110_6^3 - 3*c_0101_4*c_0110_6^2 - 5*c_0101_4*c_0110_6 - 2*c_0101_4, c_0011_3 + c_0101_4*c_0110_6, c_0101_0 - c_0101_4*c_0110_6^3 + c_0101_4*c_0110_6^2 + 4*c_0101_4*c_0110_6 + 2*c_0101_4, c_0101_4^2 + 9/7*c_0110_6^3 - 2*c_0110_6^2 - 20/7*c_0110_6 - 19/7, c_0101_5 + c_0110_6^3 - c_0110_6^2 - 3*c_0110_6 - 2, c_0110_6^4 - c_0110_6^3 - 3*c_0110_6^2 - 3*c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 1930/11*c_0110_6^11 - 8475/11*c_0110_6^10 - 1253/11*c_0110_6^9 + 24082/11*c_0110_6^8 - 19900/11*c_0110_6^7 - 23255/11*c_0110_6^6 + 31301/11*c_0110_6^5 + 1849/11*c_0110_6^4 - 19488/11*c_0110_6^3 + 631*c_0110_6^2 + 383*c_0110_6 - 3051/11, c_0011_0 - 1, c_0011_2 + 7/11*c_0101_4*c_0110_6^11 - 51/11*c_0101_4*c_0110_6^10 + 85/11*c_0101_4*c_0110_6^9 + 90/11*c_0101_4*c_0110_6^8 - 283/11*c_0101_4*c_0110_6^7 + 102/11*c_0101_4*c_0110_6^6 + 268/11*c_0101_4*c_0110_6^5 - 190/11*c_0101_4*c_0110_6^4 - 89/11*c_0101_4*c_0110_6^3 + 10*c_0101_4*c_0110_6^2 - 21/11*c_0101_4, c_0011_3 - 40/11*c_0101_4*c_0110_6^11 + 172/11*c_0101_4*c_0110_6^10 + 58/11*c_0101_4*c_0110_6^9 - 563/11*c_0101_4*c_0110_6^8 + 349/11*c_0101_4*c_0110_6^7 + 668/11*c_0101_4*c_0110_6^6 - 708/11*c_0101_4*c_0110_6^5 - 217/11*c_0101_4*c_0110_6^4 + 485/11*c_0101_4*c_0110_6^3 - 9*c_0101_4*c_0110_6^2 - 12*c_0101_4*c_0110_6 + 65/11*c_0101_4, c_0101_0 + 14/11*c_0101_4*c_0110_6^11 - 58/11*c_0101_4*c_0110_6^10 - 39/11*c_0101_4*c_0110_6^9 + 235/11*c_0101_4*c_0110_6^8 - 93/11*c_0101_4*c_0110_6^7 - 346/11*c_0101_4*c_0110_6^6 + 316/11*c_0101_4*c_0110_6^5 + 170/11*c_0101_4*c_0110_6^4 - 255/11*c_0101_4*c_0110_6^3 + 3*c_0101_4*c_0110_6^2 + 7*c_0101_4*c_0110_6 - 31/11*c_0101_4, c_0101_4^2 + 36/11*c_0110_6^11 - 168/11*c_0110_6^10 + 16/11*c_0110_6^9 + 466/11*c_0110_6^8 - 456/11*c_0110_6^7 - 390/11*c_0110_6^6 + 679/11*c_0110_6^5 - 6/11*c_0110_6^4 - 398/11*c_0110_6^3 + 15*c_0110_6^2 + 8*c_0110_6 - 75/11, c_0101_5 + 26/11*c_0110_6^11 - 103/11*c_0110_6^10 - 74/11*c_0110_6^9 + 361/11*c_0110_6^8 - 168/11*c_0110_6^7 - 498/11*c_0110_6^6 + 458/11*c_0110_6^5 + 157/11*c_0110_6^4 - 373/11*c_0110_6^3 + 9*c_0110_6^2 + 10*c_0110_6 - 56/11, c_0110_6^12 - 5*c_0110_6^11 + 2*c_0110_6^10 + 13*c_0110_6^9 - 18*c_0110_6^8 - 6*c_0110_6^7 + 24*c_0110_6^6 - 9*c_0110_6^5 - 11*c_0110_6^4 + 10*c_0110_6^3 - 3*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB