Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 1764292029] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1389 geometric_solution 5.24081769 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501099322679 0.160370790308 2 0 2 0 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688697112660 0.418963012680 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 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 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 2.055895963738 1.102583977296 5 2 6 4 0132 0132 0132 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 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 -0.050675772115 1.001199575052 3 6 2 5 3201 1023 0132 3201 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 -0.050675772115 1.001199575052 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 1 0 -1 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 0.424700661267 0.324953214540 4 6 6 3 1023 3201 2310 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 0.050425228169 0.996249586479 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 13824275723043110216243/7140525353436010302100*c_0101_6^20 + 421589237555711368860237/7140525353436010302100*c_0101_6^18 - 3882980470126041946767311/7140525353436010302100*c_0101_6^16 + 4239851016663001756238226/1785131338359002575525*c_0101_6^14 - 38823669439622350724099197/7140525353436010302100*c_0101_6^12 + 60113233416899557372900989/7140525353436010302100*c_0101_6^10 - 45971087943511686380042601/7140525353436010302100*c_0101_6^8 + 7290605717684326414620917/1785131338359002575525*c_0101_6^6 - 38049154496887875871980763/7140525353436010302100*c_0101_6^4 + 12463844212815509154254403/3570262676718005151050*c_0101_6^2 - 5092362107251781427468733/7140525353436010302100, c_0011_0 - 1, c_0011_1 + 687589723952831758/71405253534360103021*c_0101_6^20 - 40772838414772507013/142810507068720206042*c_0101_6^18 + 175737450347155391954/71405253534360103021*c_0101_6^16 - 1381907803151860594477/142810507068720206042*c_0101_6^14 + 2625292556825284238387/142810507068720206042*c_0101_6^12 - 1740424675048480909438/71405253534360103021*c_0101_6^10 + 1047126768011339335795/142810507068720206042*c_0101_6^8 - 596408671507885507121/71405253534360103021*c_0101_6^6 + 1143463643831743504207/71405253534360103021*c_0101_6^4 - 187957537174216212133/142810507068720206042*c_0101_6^2 - 61824597226950413779/142810507068720206042, c_0011_4 - 4174496691485571171/142810507068720206042*c_0101_6^21 + 62306428926501419515/71405253534360103021*c_0101_6^19 - 1091822312429937607811/142810507068720206042*c_0101_6^17 + 4407638698920432170545/142810507068720206042*c_0101_6^15 - 4400191471014831670907/71405253534360103021*c_0101_6^13 + 12152953790967054629723/142810507068720206042*c_0101_6^11 - 2689779182361732049401/71405253534360103021*c_0101_6^9 + 2176007461108190542151/71405253534360103021*c_0101_6^7 - 8124399149432051102395/142810507068720206042*c_0101_6^5 + 1803497040333184133823/142810507068720206042*c_0101_6^3 + 82869321281758851680/71405253534360103021*c_0101_6, c_0101_0 + 27174329945177122359/285621014137440412084*c_0101_6^21 - 815016343606606341637/285621014137440412084*c_0101_6^19 + 7222289609676863499499/285621014137440412084*c_0101_6^17 - 7427171157479751115854/71405253534360103021*c_0101_6^15 + 61452800250207183053797/285621014137440412084*c_0101_6^13 - 87668199409792860977657/285621014137440412084*c_0101_6^11 + 47227285013266230858413/285621014137440412084*c_0101_6^9 - 8783861821119347534598/71405253534360103021*c_0101_6^7 + 58222445458462748837747/285621014137440412084*c_0101_6^5 - 10314527196861809232631/142810507068720206042*c_0101_6^3 + 1029220974617458942385/285621014137440412084*c_0101_6, c_0101_1 + 1487846156262586989/285621014137440412084*c_0101_6^20 - 44226702146883099247/285621014137440412084*c_0101_6^18 + 383734125757559310513/285621014137440412084*c_0101_6^16 - 381780885031542361870/71405253534360103021*c_0101_6^14 + 2980425716269876771739/285621014137440412084*c_0101_6^12 - 4082369196553553090323/285621014137440412084*c_0101_6^10 + 1587951875930488338319/285621014137440412084*c_0101_6^8 - 390285403364697072069/71405253534360103021*c_0101_6^6 + 2712824479199149868765/285621014137440412084*c_0101_6^4 - 317574102546570446385/142810507068720206042*c_0101_6^2 + 100762012566476784455/285621014137440412084, c_0101_3 + 10867985495645359453/285621014137440412084*c_0101_6^21 - 326510302314761928625/285621014137440412084*c_0101_6^19 + 2904661590336485284917/285621014137440412084*c_0101_6^17 - 6007710386866434730325/142810507068720206042*c_0101_6^15 + 25064641828920288640853/285621014137440412084*c_0101_6^13 - 35845317041838737614371/285621014137440412084*c_0101_6^11 + 19787187275750095337897/285621014137440412084*c_0101_6^9 - 3465699617634931406173/71405253534360103021*c_0101_6^7 + 23725437695205788935529/285621014137440412084*c_0101_6^5 - 2312851903341298779882/71405253534360103021*c_0101_6^3 - 64968109065701709519/285621014137440412084*c_0101_6, c_0101_6^22 - 30*c_0101_6^20 + 266*c_0101_6^18 - 1095*c_0101_6^16 + 2267*c_0101_6^14 - 3232*c_0101_6^12 + 1740*c_0101_6^10 - 1273*c_0101_6^8 + 2137*c_0101_6^6 - 753*c_0101_6^4 + 13*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB