Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 3448525052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2602 geometric_solution 5.88767996 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 0 -1 -1 0 1 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 1.767664575299 0.598113005756 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -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 -1 1 1 0 -1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535954384168 0.640483737206 4 1 5 6 0132 0132 0132 0132 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149957323538 0.686487466289 5 6 4 1 1023 2310 2310 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 -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 0.149957323538 0.686487466289 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114087803836 1.551883890739 5 3 5 2 2310 1023 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 0.261991483942 1.817438789921 6 6 2 3 1302 2031 0132 3201 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452988653102 0.394475349546 ==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' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_2'], '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_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 898791723978604516/20456199179582000481*c_0110_6^12 + 18724016668264759316/2272911019953555609*c_0110_6^10 - 24795716805238881470/2272911019953555609*c_0110_6^8 + 29057212085211881920/6818733059860666827*c_0110_6^6 - 226953498832674338525/20456199179582000481*c_0110_6^4 - 10843065854329270657/6818733059860666827*c_0110_6^2 - 148422272183408560864/20456199179582000481, c_0011_0 - 1, c_0011_3 - 7758332049/2825749039237*c_0110_6^13 + 1447835779122/2825749039237*c_0110_6^11 - 657831886168/2825749039237*c_0110_6^9 - 139765202667/2825749039237*c_0110_6^7 - 47129143399/2825749039237*c_0110_6^5 - 5299786995819/2825749039237*c_0110_6^3 - 1132285466208/2825749039237*c_0110_6, c_0011_6 + 17292535351/2825749039237*c_0110_6^13 - 3244310430317/2825749039237*c_0110_6^11 + 4683193077169/2825749039237*c_0110_6^9 - 1417049869425/2825749039237*c_0110_6^7 + 4623533918565/2825749039237*c_0110_6^5 - 1554742393500/2825749039237*c_0110_6^3 + 645254778916/2825749039237*c_0110_6, c_0101_0 - 11234116049/2825749039237*c_0110_6^13 + 2119340262779/2825749039237*c_0110_6^11 - 5219982714516/2825749039237*c_0110_6^9 + 1830642375473/2825749039237*c_0110_6^7 + 1376846054988/2825749039237*c_0110_6^5 - 1535414947186/2825749039237*c_0110_6^3 + 1986305830361/2825749039237*c_0110_6, c_0101_1 - 2398276599/2825749039237*c_0110_6^12 + 456782735749/2825749039237*c_0110_6^10 - 1937535196010/2825749039237*c_0110_6^8 + 3148859973109/2825749039237*c_0110_6^6 - 2708004851975/2825749039237*c_0110_6^4 + 1021852328315/2825749039237*c_0110_6^2 + 1342186265864/2825749039237, c_0101_2 - 13568096452/2825749039237*c_0110_6^12 + 2538955387484/2825749039237*c_0110_6^10 - 2448748824164/2825749039237*c_0110_6^8 + 1670095080582/2825749039237*c_0110_6^6 - 3993328003991/2825749039237*c_0110_6^4 - 3366339693879/2825749039237*c_0110_6^2 - 1564833638477/2825749039237, c_0110_6^14 - 189*c_0110_6^12 + 531*c_0110_6^10 - 462*c_0110_6^8 + 401*c_0110_6^6 - 357*c_0110_6^4 + 103*c_0110_6^2 - 279 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB