Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 425231808] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1727 geometric_solution 5.43431540 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255406191567 0.979805916117 0 2 5 3 0132 2031 0132 1230 0 0 0 0 0 1 0 -1 1 0 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 0 0 0 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 1.378334528889 0.923937866196 1 0 5 3 1302 0132 1023 3201 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 1 -1 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 0.532138511011 0.262292280853 1 2 5 0 3012 2310 2310 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.605430527552 0.923558367362 6 6 0 5 0132 3201 0132 2310 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 -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 -0.113587694577 0.789113328670 4 3 2 1 3201 3201 1023 0132 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 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 0.506255329321 1.001025321441 4 6 4 6 0132 2310 2310 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 -0.733351327984 0.846470912116 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : 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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 417014647/291722054*c_0110_2^12 - 2876099289/291722054*c_0110_2^11 - 6927929367/291722054*c_0110_2^10 - 3144970221/145861027*c_0110_2^9 - 456068517/145861027*c_0110_2^8 + 1068695893/145861027*c_0110_2^7 + 259286046/11220079*c_0110_2^6 + 4179693077/145861027*c_0110_2^5 + 3798458977/291722054*c_0110_2^4 + 1566854951/145861027*c_0110_2^3 + 216692858/145861027*c_0110_2^2 - 2407267409/291722054*c_0110_2 - 1833531292/145861027, c_0011_0 - 1, c_0011_3 + 205/10214*c_0110_2^12 + 1841/10214*c_0110_2^11 + 4927/10214*c_0110_2^10 + 640/5107*c_0110_2^9 - 5064/5107*c_0110_2^8 - 4287/5107*c_0110_2^7 - 4098/5107*c_0110_2^6 - 9073/5107*c_0110_2^5 + 6857/10214*c_0110_2^4 + 3367/5107*c_0110_2^3 - 794/5107*c_0110_2^2 + 17157/10214*c_0110_2 + 515/5107, c_0011_4 + 3701/10214*c_0110_2^12 + 21827/10214*c_0110_2^11 + 39973/10214*c_0110_2^10 + 8814/5107*c_0110_2^9 - 1690/5107*c_0110_2^8 - 517/5107*c_0110_2^7 - 22316/5107*c_0110_2^6 - 16221/5107*c_0110_2^5 - 12127/10214*c_0110_2^4 - 20452/5107*c_0110_2^3 + 3652/5107*c_0110_2^2 + 4921/10214*c_0110_2 + 4938/5107, c_0011_5 + 71/10214*c_0110_2^12 + 406/5107*c_0110_2^11 + 1339/5107*c_0110_2^10 + 817/10214*c_0110_2^9 - 5690/5107*c_0110_2^8 - 9930/5107*c_0110_2^7 - 4060/5107*c_0110_2^6 + 445/5107*c_0110_2^5 + 3471/10214*c_0110_2^4 + 12621/10214*c_0110_2^3 + 1145/5107*c_0110_2^2 + 12519/10214*c_0110_2 + 3969/10214, c_0101_1 + 408/5107*c_0110_2^12 + 4513/10214*c_0110_2^11 + 5387/10214*c_0110_2^10 - 8233/10214*c_0110_2^9 - 9146/5107*c_0110_2^8 - 6950/5107*c_0110_2^7 - 12351/5107*c_0110_2^6 - 5747/5107*c_0110_2^5 + 7718/5107*c_0110_2^4 + 3711/10214*c_0110_2^3 + 7477/5107*c_0110_2^2 + 8786/5107*c_0110_2 + 1235/10214, c_0101_5 - 515/5107*c_0110_2^12 - 6385/10214*c_0110_2^11 - 13171/10214*c_0110_2^10 - 9047/10214*c_0110_2^9 + 905/5107*c_0110_2^8 + 6094/5107*c_0110_2^7 + 11497/5107*c_0110_2^6 + 8218/5107*c_0110_2^5 + 8558/5107*c_0110_2^4 + 2413/10214*c_0110_2^3 - 6972/5107*c_0110_2^2 - 751/5107*c_0110_2 - 10033/10214, c_0110_2^13 + 6*c_0110_2^12 + 11*c_0110_2^11 + 4*c_0110_2^10 - 3*c_0110_2^9 - 2*c_0110_2^8 - 14*c_0110_2^7 - 8*c_0110_2^6 + c_0110_2^5 - 9*c_0110_2^4 + 7*c_0110_2^3 + 3*c_0110_2^2 + 3*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB