Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 1360055353] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3168 geometric_solution 6.31703999 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 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 0.597797766370 0.430819689664 3 2 4 0 0132 3012 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 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 0.792962457581 0.666736978677 1 3 0 5 1230 3201 0132 0132 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 -1 0 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 1.043883767500 0.915331745786 1 5 2 4 0132 1302 2310 1302 0 0 0 0 0 1 0 -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 0 -1 1 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 1.429564498045 0.840051444592 6 6 3 1 0132 2310 2031 0132 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 0 0 0 0 0 0 0 0.552186170777 1.137439914089 6 6 2 3 1302 0213 0132 2031 0 0 0 0 0 0 0 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 0 -1 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 0.333479612285 0.620079876733 4 5 5 4 0132 2031 0213 3201 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 0 0 0 0 0 0 0 0.520843358353 0.553893283384 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_4' : negation(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_1']), 'c_1100_5' : negation(d['c_1010_3']), 'c_1100_4' : negation(d['c_1010_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_3']), 'c_1100_0' : negation(d['c_1010_3']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_1010_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_0110_5']), '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_1, c_0011_2, c_0011_5, c_0101_2, c_0110_5, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 104351287/4655830400*c_1010_3^12 + 1368081601/13967491200*c_1010_3^11 + 155292887/349187280*c_1010_3^10 + 6907338637/13967491200*c_1010_3^9 - 23727805177/13967491200*c_1010_3^8 - 27285051623/13967491200*c_1010_3^7 + 4249673393/4655830400*c_1010_3^6 + 45507208037/6983745600*c_1010_3^5 - 56877833/17907040*c_1010_3^4 - 1953980693/872968200*c_1010_3^3 + 5060849017/872968200*c_1010_3^2 - 120539677/436484100*c_1010_3 + 184453729/72747350, c_0011_0 - 1, c_0011_1 + 59771423/3438151680*c_1010_3^12 - 9097409/107442240*c_1010_3^11 - 35011725/114605056*c_1010_3^10 - 251481887/1146050560*c_1010_3^9 + 852628521/573025280*c_1010_3^8 + 3013333709/3438151680*c_1010_3^7 - 1068966773/859537920*c_1010_3^6 - 4004940833/859537920*c_1010_3^5 + 97867321/21488448*c_1010_3^4 + 774073/71628160*c_1010_3^3 - 6506312/1678785*c_1010_3^2 + 62371431/17907040*c_1010_3 - 46701619/13430280, c_0011_2 + 41576357/3438151680*c_1010_3^12 - 26917789/429768960*c_1010_3^11 - 22252895/114605056*c_1010_3^10 - 98046533/1146050560*c_1010_3^9 + 615939159/573025280*c_1010_3^8 + 810541391/3438151680*c_1010_3^7 - 342925779/286512640*c_1010_3^6 - 885612969/286512640*c_1010_3^5 + 60104121/14325632*c_1010_3^4 - 150952159/214884480*c_1010_3^3 - 21660021/8953520*c_1010_3^2 + 186285067/53721120*c_1010_3 - 23724823/6715140, c_0011_5 - 2026293/229210112*c_1010_3^12 + 2605979/57302528*c_1010_3^11 + 16118081/114605056*c_1010_3^10 + 18717671/229210112*c_1010_3^9 - 83947547/114605056*c_1010_3^8 - 35333751/229210112*c_1010_3^7 + 137767/223838*c_1010_3^6 + 113614199/57302528*c_1010_3^5 - 45412019/14325632*c_1010_3^4 + 17416475/14325632*c_1010_3^3 + 6814043/3581408*c_1010_3^2 - 7682655/3581408*c_1010_3 + 999229/447676, c_0101_2 + 134887/35814080*c_1010_3^12 - 1246299/71628160*c_1010_3^11 - 258493/3581408*c_1010_3^10 - 70307/1119190*c_1010_3^9 + 25487853/71628160*c_1010_3^8 + 7356543/17907040*c_1010_3^7 - 11923581/71628160*c_1010_3^6 - 26970869/17907040*c_1010_3^5 + 174185/1790704*c_1010_3^4 + 2314577/4476760*c_1010_3^3 + 339787/4476760*c_1010_3^2 + 618479/1119190*c_1010_3 - 422589/559595, c_0110_5 + 12971507/3438151680*c_1010_3^12 - 9574169/429768960*c_1010_3^11 - 5589097/114605056*c_1010_3^10 + 30697997/1146050560*c_1010_3^9 + 230703849/573025280*c_1010_3^8 - 331666279/3438151680*c_1010_3^7 - 443781827/859537920*c_1010_3^6 - 716681117/859537920*c_1010_3^5 + 83154677/42976896*c_1010_3^4 - 64167803/71628160*c_1010_3^3 - 27851633/26860560*c_1010_3^2 + 24131959/17907040*c_1010_3 - 7808123/6715140, c_1010_3^13 - 4*c_1010_3^12 - 22*c_1010_3^11 - 27*c_1010_3^10 + 78*c_1010_3^9 + 127*c_1010_3^8 - 48*c_1010_3^7 - 352*c_1010_3^6 + 32*c_1010_3^5 + 288*c_1010_3^4 - 256*c_1010_3^3 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB