Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 3920131339] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0562 geometric_solution 4.57885370 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 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 1 0 -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 2.401723498354 0.184261387353 0 2 2 0 0132 0132 3201 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 -1 0 1 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 -0.821333188184 0.455778661225 1 1 3 3 2310 0132 0132 3201 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 1 1 -2 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 0.278771608756 0.379041712253 4 2 5 2 0132 2310 0132 0132 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 1 -1 0 0 0 0 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.395664784279 0.584552962003 3 5 5 6 0132 0213 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298054537551 0.752590707775 6 4 4 3 1023 3201 0213 0132 0 0 0 0 0 0 1 -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 1 -1 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 0.298054537551 0.752590707775 6 5 4 6 3201 1023 0132 2310 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 -1 1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.454885864066 1.148591386018 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], '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_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], '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_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), '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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 470301238390/2769555263*c_0101_2*c_0101_3^10 - 857176033695/5539110526*c_0101_2*c_0101_3^9 - 8978245939387/2769555263*c_0101_2*c_0101_3^8 + 14401598090093/5539110526*c_0101_2*c_0101_3^7 + 159474448656313/5539110526*c_0101_2*c_0101_3^6 + 109097903079831/2769555263*c_0101_2*c_0101_3^5 + 228460081085671/5539110526*c_0101_2*c_0101_3^4 + 68472316188674/2769555263*c_0101_2*c_0101_3^3 - 43991632843649/2769555263*c_0101_2*c_0101_3^2 - 25478031414065/5539110526*c_0101_2*c_0101_3 + 8045138914933/5539110526*c_0101_2, c_0011_0 - 1, c_0011_3 - 599144165/2769555263*c_0101_3^10 + 388110140/2769555263*c_0101_3^9 + 11584314993/2769555263*c_0101_3^8 - 6184086707/2769555263*c_0101_3^7 - 104048109230/2769555263*c_0101_3^6 - 165169479381/2769555263*c_0101_3^5 - 182086149549/2769555263*c_0101_3^4 - 129566154088/2769555263*c_0101_3^3 + 28134069026/2769555263*c_0101_3^2 + 24993465531/2769555263*c_0101_3 - 2687216139/2769555263, c_0011_5 - 734035764/2769555263*c_0101_2*c_0101_3^10 + 497816622/2769555263*c_0101_2*c_0101_3^9 + 14128760111/2769555263*c_0101_2*c_0101_3^8 - 7977929785/2769555263*c_0101_2*c_0101_3^7 - 126224041145/2769555263*c_0101_2*c_0101_3^6 - 199250432946/2769555263*c_0101_2*c_0101_3^5 - 225908464989/2769555263*c_0101_2*c_0101_3^4 - 162714303347/2769555263*c_0101_2*c_0101_3^3 + 26859844762/2769555263*c_0101_2*c_0101_3^2 + 18436511345/2769555263*c_0101_2*c_0101_3 - 971404325/2769555263*c_0101_2, c_0101_0 - 4075189106/2769555263*c_0101_2*c_0101_3^10 + 3216640525/2769555263*c_0101_2*c_0101_3^9 + 78203474463/2769555263*c_0101_2*c_0101_3^8 - 53031626632/2769555263*c_0101_2*c_0101_3^7 - 697368066008/2769555263*c_0101_2*c_0101_3^6 - 1027434565381/2769555263*c_0101_2*c_0101_3^5 - 1117600568416/2769555263*c_0101_2*c_0101_3^4 - 748239663092/2769555263*c_0101_2*c_0101_3^3 + 272809458378/2769555263*c_0101_2*c_0101_3^2 + 113914059469/2769555263*c_0101_2*c_0101_3 - 25321421663/2769555263*c_0101_2, c_0101_1 + 2506104553/2769555263*c_0101_3^10 - 1985431807/2769555263*c_0101_3^9 - 48024755007/2769555263*c_0101_3^8 + 32618909789/2769555263*c_0101_3^7 + 427739754865/2769555263*c_0101_3^6 + 632879882888/2769555263*c_0101_3^5 + 692969907530/2769555263*c_0101_3^4 + 462712827766/2769555263*c_0101_3^3 - 158813587771/2769555263*c_0101_3^2 - 72125058483/2769555263*c_0101_3 + 13404083546/2769555263, c_0101_2^2 + 352991939/2769555263*c_0101_3^10 - 315185558/2769555263*c_0101_3^9 - 6769925836/2769555263*c_0101_3^8 + 5455879548/2769555263*c_0101_3^7 + 59793853973/2769555263*c_0101_3^6 + 81706029673/2769555263*c_0101_3^5 + 88615172854/2769555263*c_0101_3^4 + 54307220990/2769555263*c_0101_3^3 - 29277093066/2769555263*c_0101_3^2 - 4954882654/2769555263*c_0101_3 + 512801546/2769555263, c_0101_3^11 - c_0101_3^10 - 19*c_0101_3^9 + 17*c_0101_3^8 + 168*c_0101_3^7 + 217*c_0101_3^6 + 224*c_0101_3^5 + 127*c_0101_3^4 - 103*c_0101_3^3 - 16*c_0101_3^2 + 11*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB