Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 341149905] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0272 geometric_solution 4.31976022 oriented_manifold CS_known -0.0000000000000001 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 2.321286845936 0.119021170141 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 -1.153611330774 0.495926841857 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 0 -1 0 0 1 -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 0.197629221882 0.188131652506 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 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761108484976 1.394019464132 3 6 5 5 0132 0132 0213 2310 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 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 0.143846221134 0.809069258267 4 4 6 3 3201 0213 3201 0132 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 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 0.143846221134 0.809069258267 5 4 6 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.786984364030 1.198115607309 ==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' : d['1'], 's_3_5' : 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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_3'], '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_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], '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_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_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], '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_0011_5'], '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' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 4717907165678223/124499364962977*c_0101_6^19 + 28695796254999710/124499364962977*c_0101_6^17 - 285423276440724470/124499364962977*c_0101_6^15 + 1858685394593155424/124499364962977*c_0101_6^13 - 2006360570667807622/124499364962977*c_0101_6^11 + 759410037304322365/124499364962977*c_0101_6^9 - 162474401745800905/124499364962977*c_0101_6^7 + 284978300724118484/124499364962977*c_0101_6^5 - 433664706966161015/124499364962977*c_0101_6^3 - 45796417343050444/124499364962977*c_0101_6, c_0011_0 - 1, c_0011_3 - 3589000360487/124499364962977*c_0101_6^18 + 22532988123483/124499364962977*c_0101_6^16 - 222087338206709/124499364962977*c_0101_6^14 + 1460497467123872/124499364962977*c_0101_6^12 - 1843830258270488/124499364962977*c_0101_6^10 + 1136395692726201/124499364962977*c_0101_6^8 - 469770648663256/124499364962977*c_0101_6^6 + 284239396885910/124499364962977*c_0101_6^4 - 291501544778488/124499364962977*c_0101_6^2 + 37866474006171/124499364962977, c_0011_5 - 23406702139773/124499364962977*c_0101_6^19 + 144583489125769/124499364962977*c_0101_6^17 - 1429398509957069/124499364962977*c_0101_6^15 + 9354152059843909/124499364962977*c_0101_6^13 - 10816094366112582/124499364962977*c_0101_6^11 + 4626544744612262/124499364962977*c_0101_6^9 - 919411072779482/124499364962977*c_0101_6^7 + 1326860538384783/124499364962977*c_0101_6^5 - 2190157662284133/124499364962977*c_0101_6^3 - 144981760201457/124499364962977*c_0101_6, c_0101_0 + 197986882310/255645513271*c_0101_6^19 - 1207883281030/255645513271*c_0101_6^17 + 12000960202243/255645513271*c_0101_6^15 - 78226594901116/255645513271*c_0101_6^13 + 85692578327678/255645513271*c_0101_6^11 - 33760764051402/255645513271*c_0101_6^9 + 7670417220803/255645513271*c_0101_6^7 - 11925518458555/255645513271*c_0101_6^5 + 18161107300870/255645513271*c_0101_6^3 + 1523302239177/255645513271*c_0101_6, c_0101_1 - 501209598463/124499364962977*c_0101_6^18 + 1485063878008/124499364962977*c_0101_6^16 - 21062487167820/124499364962977*c_0101_6^14 + 104637974061808/124499364962977*c_0101_6^12 + 386406941588187/124499364962977*c_0101_6^10 - 472457129527061/124499364962977*c_0101_6^8 + 44328904023624/124499364962977*c_0101_6^6 + 30540888911553/124499364962977*c_0101_6^4 + 140425708301242/124499364962977*c_0101_6^2 - 85885825904768/124499364962977, c_0101_3 - 5646165070497/124499364962977*c_0101_6^18 + 34802391609812/124499364962977*c_0101_6^16 - 344360050078987/124499364962977*c_0101_6^14 + 2252912634754462/124499364962977*c_0101_6^12 - 2585540013972066/124499364962977*c_0101_6^10 + 1141088364150237/124499364962977*c_0101_6^8 - 541482793810518/124499364962977*c_0101_6^6 + 493790737708488/124499364962977*c_0101_6^4 - 509312396191365/124499364962977*c_0101_6^2 - 20238955424102/124499364962977, c_0101_6^20 - 6*c_0101_6^18 + 60*c_0101_6^16 - 389*c_0101_6^14 + 393*c_0101_6^12 - 127*c_0101_6^10 + 22*c_0101_6^8 - 58*c_0101_6^6 + 87*c_0101_6^4 + 17*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB