Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 2833855879] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2548 geometric_solution 5.85793685 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 1 -1 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 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.083926022658 2.222317174785 0 0 3 2 0132 3201 0132 0132 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 1 0 -1 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 0.076596813606 0.492401601838 4 4 1 5 0132 0213 0132 0132 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 -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 0.912016549544 1.199923969030 5 4 5 1 1230 2310 2031 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 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 0.136039913689 1.244855101679 2 6 2 3 0132 0132 0213 3201 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 -1 1 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.202243344417 1.534629899240 6 3 2 3 0213 3012 0132 1302 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712188776825 0.427933811165 5 4 6 6 0213 0132 2031 1302 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 1 -1 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 0.267491285679 0.468914245782 ==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' : d['c_0011_5'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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_0011_3']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 112403084/9206811*c_0110_5^11 - 128412034/9206811*c_0110_5^10 - 52246109/3068937*c_0110_5^9 - 359605040/3068937*c_0110_5^8 + 250800017/9206811*c_0110_5^7 + 223628638/9206811*c_0110_5^6 - 1171163617/9206811*c_0110_5^5 + 2805726652/9206811*c_0110_5^4 + 22047971/9206811*c_0110_5^3 + 9419870/70281*c_0110_5^2 - 13235435/9206811*c_0110_5 - 17651485/9206811, c_0011_0 - 1, c_0011_2 + 129330/340993*c_0110_5^11 + 192006/340993*c_0110_5^10 + 128696/340993*c_0110_5^9 + 1188419/340993*c_0110_5^8 + 64972/340993*c_0110_5^7 - 1254337/340993*c_0110_5^6 + 1528674/340993*c_0110_5^5 - 2081238/340993*c_0110_5^4 - 2376518/340993*c_0110_5^3 + 4760/2603*c_0110_5^2 + 146787/340993*c_0110_5 + 452331/340993, c_0011_3 - 5080/340993*c_0110_5^11 - 54289/340993*c_0110_5^10 - 46529/340993*c_0110_5^9 - 71069/340993*c_0110_5^8 - 386390/340993*c_0110_5^7 + 341828/340993*c_0110_5^6 + 317412/340993*c_0110_5^5 - 283131/340993*c_0110_5^4 + 1494760/340993*c_0110_5^3 - 287/2603*c_0110_5^2 + 47072/340993*c_0110_5 - 304657/340993, c_0011_5 + 15156/340993*c_0110_5^11 - 41284/340993*c_0110_5^10 - 10736/340993*c_0110_5^9 + 100068/340993*c_0110_5^8 - 573664/340993*c_0110_5^7 + 390859/340993*c_0110_5^6 + 168892/340993*c_0110_5^5 - 1234272/340993*c_0110_5^4 + 1764230/340993*c_0110_5^3 - 5889/2603*c_0110_5^2 + 261236/340993*c_0110_5 - 307633/340993, c_0101_0 + 49209/340993*c_0110_5^11 + 41449/340993*c_0110_5^10 + 25349/340993*c_0110_5^9 + 406710/340993*c_0110_5^8 - 321508/340993*c_0110_5^7 - 368212/340993*c_0110_5^6 + 410131/340993*c_0110_5^5 - 1499840/340993*c_0110_5^4 + 73157/340993*c_0110_5^3 - 592/2603*c_0110_5^2 + 299577/340993*c_0110_5 + 335913/340993, c_0101_3 + 167931/340993*c_0110_5^11 + 172715/340993*c_0110_5^10 + 168579/340993*c_0110_5^9 + 1531569/340993*c_0110_5^8 - 609629/340993*c_0110_5^7 - 659581/340993*c_0110_5^6 + 1960447/340993*c_0110_5^5 - 4007451/340993*c_0110_5^4 + 366903/340993*c_0110_5^3 - 3773/2603*c_0110_5^2 + 754625/340993*c_0110_5 + 256240/340993, c_0110_5^12 + c_0110_5^11 + c_0110_5^10 + 9*c_0110_5^9 - 4*c_0110_5^8 - 4*c_0110_5^7 + 10*c_0110_5^6 - 25*c_0110_5^5 + c_0110_5^4 - 7*c_0110_5^3 + 6*c_0110_5^2 + c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB