Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 3970789786] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3029 geometric_solution 6.20139298 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 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 1 0 -1 0 0 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 0.435625614362 1.015678532330 0 2 4 3 0132 3201 0132 0132 1 0 0 0 0 0 -1 1 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 0.123188786770 0.967558765146 4 3 1 0 2310 2310 2310 0132 0 0 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 0 0 0 0 0 0 0 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 0.123188786770 0.967558765146 5 4 1 2 0132 0132 0132 3201 1 0 0 0 0 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 -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 -0.129489017801 1.017042520253 5 3 2 1 2310 0132 3201 0132 1 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129489017801 1.017042520253 3 6 4 6 0132 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0.711851791349 1.395450707724 5 5 6 6 3201 0132 1230 3012 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 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 0.298950794865 0.246810787017 ==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' : negation(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' : negation(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_0110_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), '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_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 285241622/46208475*c_0110_6^10 - 1072132129/46208475*c_0110_6^9 - 281006549/9241695*c_0110_6^8 - 3151560686/15402825*c_0110_6^7 - 59840504447/46208475*c_0110_6^6 - 10252089263/30805650*c_0110_6^5 - 14475236471/15402825*c_0110_6^4 + 968013683/92416950*c_0110_6^3 - 12851297147/46208475*c_0110_6^2 + 275197928/46208475*c_0110_6 - 4047320399/92416950, c_0011_0 - 1, c_0011_2 - 1025719/2432025*c_0110_6^10 + 4440044/2432025*c_0110_6^9 + 2910656/2432025*c_0110_6^8 + 378009/30025*c_0110_6^7 + 196655509/2432025*c_0110_6^6 - 22608244/810675*c_0110_6^5 + 40636339/810675*c_0110_6^4 - 34588514/2432025*c_0110_6^3 + 43193353/2432025*c_0110_6^2 - 170956/97281*c_0110_6 + 2496551/2432025, c_0011_3 + 505727/2432025*c_0110_6^10 - 1764238/2432025*c_0110_6^9 - 3291994/2432025*c_0110_6^8 - 1089188/162135*c_0110_6^7 - 109189352/2432025*c_0110_6^6 - 15622336/810675*c_0110_6^5 - 8324879/810675*c_0110_6^4 - 10648052/2432025*c_0110_6^3 + 3146842/2432025*c_0110_6^2 - 3224251/2432025*c_0110_6 + 319876/486405, c_0101_0 + 68441/2432025*c_0110_6^10 - 351943/2432025*c_0110_6^9 - 46831/2432025*c_0110_6^8 - 496624/810675*c_0110_6^7 - 11098511/2432025*c_0110_6^6 + 237548/32427*c_0110_6^5 + 417182/162135*c_0110_6^4 + 3101773/2432025*c_0110_6^3 - 867736/486405*c_0110_6^2 - 159232/2432025*c_0110_6 - 632398/2432025, c_0101_1 - 957278/2432025*c_0110_6^10 + 4088101/2432025*c_0110_6^9 + 114553/97281*c_0110_6^8 + 9709619/810675*c_0110_6^7 + 185556998/2432025*c_0110_6^6 - 16669544/810675*c_0110_6^5 + 42722249/810675*c_0110_6^4 - 31486741/2432025*c_0110_6^3 + 38854673/2432025*c_0110_6^2 - 4433132/2432025*c_0110_6 + 1864153/2432025, c_0101_2 + 1, c_0110_6^11 - 4*c_0110_6^10 - 4*c_0110_6^9 - 32*c_0110_6^8 - 202*c_0110_6^7 - 4*c_0110_6^6 - 144*c_0110_6^5 + 32*c_0110_6^4 - 47*c_0110_6^3 + 9*c_0110_6^2 - 7*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB