Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 256807904] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0716 geometric_solution 4.66877532 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 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 -1 1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713458593262 0.123426556000 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564289377201 0.405362739188 3 1 4 1 0132 0132 0132 1023 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 -1 0 0 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 2.631919241454 1.693022361231 2 4 4 5 0132 3201 2310 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 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 -0.129258421474 0.621901821049 5 3 3 2 0132 3201 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 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129258421474 0.621901821049 4 6 3 6 0132 0132 0132 1023 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 2.059605467608 1.394953417738 6 5 6 5 2310 0132 3201 1023 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 0.454112599511 0.440821613040 ==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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3563744256816/58283478161*c_0101_6^13 + 90686084822824/58283478161*c_0101_6^11 - 656675539492486/58283478161*c_0101_6^9 + 1616715166680206/58283478161*c_0101_6^7 - 1029170913161051/58283478161*c_0101_6^5 + 202901144320202/58283478161*c_0101_6^3 - 3877710051284/58283478161*c_0101_6, c_0011_0 - 1, c_0011_4 - 616860312/2009775109*c_0101_6^12 + 15560625772/2009775109*c_0101_6^10 - 110240228307/2009775109*c_0101_6^8 + 255877522948/2009775109*c_0101_6^6 - 124411794742/2009775109*c_0101_6^4 + 14544721805/2009775109*c_0101_6^2 - 1149857744/2009775109, c_0101_0 + 3771345560/2009775109*c_0101_6^13 - 96375048940/2009775109*c_0101_6^11 + 705209618083/2009775109*c_0101_6^9 - 1784345589732/2009775109*c_0101_6^7 + 1263630871468/2009775109*c_0101_6^5 - 310654361012/2009775109*c_0101_6^3 + 21863918192/2009775109*c_0101_6, c_0101_1 + 3107993360/2009775109*c_0101_6^13 - 79664953832/2009775109*c_0101_6^11 + 587328294714/2009775109*c_0101_6^9 - 1515328145360/2009775109*c_0101_6^7 + 1153218989725/2009775109*c_0101_6^5 - 329707852730/2009775109*c_0101_6^3 + 27937415578/2009775109*c_0101_6, c_0101_2 + 2076450472/2009775109*c_0101_6^13 - 52605267052/2009775109*c_0101_6^11 + 376760884833/2009775109*c_0101_6^9 - 901206020459/2009775109*c_0101_6^7 + 508943994536/2009775109*c_0101_6^5 - 81594355779/2009775109*c_0101_6^3 - 4901582155/2009775109*c_0101_6, c_0101_3 + 5427516392/2009775109*c_0101_6^13 - 137579070524/2009775109*c_0101_6^11 + 986768505985/2009775109*c_0101_6^9 - 2370236554457/2009775109*c_0101_6^7 + 1370084116256/2009775109*c_0101_6^5 - 254848490646/2009775109*c_0101_6^3 + 10735527507/2009775109*c_0101_6, c_0101_6^14 - 51/2*c_0101_6^12 + 1485/8*c_0101_6^10 - 3709/8*c_0101_6^8 + 2513/8*c_0101_6^6 - 75*c_0101_6^4 + 41/8*c_0101_6^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB