Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 3616951055] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1748 geometric_solution 5.44275048 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.475544890408 0.580132006642 0 5 2 5 0132 0132 0321 2310 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 -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 0.808941956586 0.430513915917 4 0 1 3 3012 0132 0321 1230 0 0 0 0 0 0 0 0 -1 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 -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 0.857504416643 0.948538299720 2 3 3 0 3012 1230 3012 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 -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 1.154881470453 1.030986386955 6 6 0 2 0132 3201 0132 1230 0 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 -1 1 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 -0.784969869021 0.772149661398 1 1 5 5 3201 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 0.600887413811 0.142704537667 4 6 4 6 0132 1302 2310 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068048793382 1.160717928780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 9976710780755/6791202937961*c_0110_5^21 - 238953958856514/6791202937961*c_0110_5^19 + 2390999156266606/6791202937961*c_0110_5^17 - 13033160551047738/6791202937961*c_0110_5^15 + 3135173324100489/522400225997*c_0110_5^13 - 73567773183826715/6791202937961*c_0110_5^11 + 78468691341188805/6791202937961*c_0110_5^9 - 50427533594159629/6791202937961*c_0110_5^7 + 19538244838273898/6791202937961*c_0110_5^5 - 4419724314327368/6791202937961*c_0110_5^3 + 547677599571019/6791202937961*c_0110_5, c_0011_0 - 1, c_0011_3 + 30448831682/40184632769*c_0110_5^20 - 711411468102/40184632769*c_0110_5^18 + 6885480688959/40184632769*c_0110_5^16 - 35867015381737/40184632769*c_0110_5^14 + 104570176606973/40184632769*c_0110_5^12 - 169280072187547/40184632769*c_0110_5^10 + 156713361036282/40184632769*c_0110_5^8 - 85650827913810/40184632769*c_0110_5^6 + 28021901131252/40184632769*c_0110_5^4 - 5355500122955/40184632769*c_0110_5^2 + 520759308896/40184632769, c_0011_4 - 44903745092/40184632769*c_0110_5^20 + 1058285093204/40184632769*c_0110_5^18 - 10360740633515/40184632769*c_0110_5^16 + 54800614668152/40184632769*c_0110_5^14 - 163495141820138/40184632769*c_0110_5^12 + 273809583611574/40184632769*c_0110_5^10 - 263194202605523/40184632769*c_0110_5^8 + 148791755237852/40184632769*c_0110_5^6 - 50424709640217/40184632769*c_0110_5^4 + 10209096663268/40184632769*c_0110_5^2 - 1072171037163/40184632769, c_0101_0 + 1308579148/40184632769*c_0110_5^20 - 27773764393/40184632769*c_0110_5^18 + 231983702955/40184632769*c_0110_5^16 - 941392559243/40184632769*c_0110_5^14 + 1495110782648/40184632769*c_0110_5^12 + 925090639181/40184632769*c_0110_5^10 - 5305970711000/40184632769*c_0110_5^8 + 6324647096186/40184632769*c_0110_5^6 - 3582778751807/40184632769*c_0110_5^4 + 986517969704/40184632769*c_0110_5^2 - 117023936658/40184632769, c_0101_1 + 12092966879/40184632769*c_0110_5^21 - 291539784244/40184632769*c_0110_5^19 + 2942178782232/40184632769*c_0110_5^17 - 16218885916993/40184632769*c_0110_5^15 + 51562551914737/40184632769*c_0110_5^13 - 95312347829930/40184632769*c_0110_5^11 + 104622324280731/40184632769*c_0110_5^9 - 69283448998672/40184632769*c_0110_5^7 + 27463102363740/40184632769*c_0110_5^5 - 6224617387062/40184632769*c_0110_5^3 + 726777594982/40184632769*c_0110_5, c_0101_3 + 33454587680/40184632769*c_0110_5^21 - 779984351198/40184632769*c_0110_5^19 + 7529314712235/40184632769*c_0110_5^17 - 39096745411819/40184632769*c_0110_5^15 + 113532643759020/40184632769*c_0110_5^13 - 183212707647824/40184632769*c_0110_5^11 + 170729817615052/40184632769*c_0110_5^9 - 96358075790456/40184632769*c_0110_5^7 + 34156056968008/40184632769*c_0110_5^5 - 7503332120327/40184632769*c_0110_5^3 + 861918719308/40184632769*c_0110_5, c_0110_5^22 - 24*c_0110_5^20 + 241*c_0110_5^18 - 1322*c_0110_5^16 + 4186*c_0110_5^14 - 7758*c_0110_5^12 + 8728*c_0110_5^10 - 6168*c_0110_5^8 + 2794*c_0110_5^6 - 811*c_0110_5^4 + 145*c_0110_5^2 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB