Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 1073864051] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2831 geometric_solution 6.05076416 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 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 0.521624569589 0.700693925433 3 0 3 4 0132 0132 0213 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 1 -1 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 0.254202635828 0.668247739452 5 4 0 3 0132 1302 0132 2103 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 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 0.701450868809 1.017243325184 1 1 6 2 0132 0213 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.077924294905 0.653008547022 6 5 1 2 0132 0213 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688216186286 1.737421988147 2 5 4 5 0132 1302 0213 2031 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 0 0 0 0 0 0 0 0.267257585621 1.536231602284 4 6 6 3 0132 3201 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.128909280267 0.686114586039 ==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' : negation(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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_1010_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], '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_0011_0'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_1010_2']), 'c_1010_2' : d['c_1010_2'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_6']})} 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_2, c_0011_4, c_0101_2, c_0101_3, c_0101_6, c_1010_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 699807689326233903/3033114439250*c_1010_2^17 + 175416769333907136/216651031375*c_1010_2^16 + 8203144917993540549/3033114439250*c_1010_2^15 - 10233972388815035058/1516557219625*c_1010_2^14 + 56438242147302338959/3033114439250*c_1010_2^13 - 9118809313070348578/216651031375*c_1010_2^12 + 9871512770666476191/216651031375*c_1010_2^11 - 18348525123270772979/606622887850*c_1010_2^10 + 3034784334954031787/1516557219625*c_1010_2^9 + 104360384093531422623/1516557219625*c_1010_2^8 - 13454405567836438507/121324577570*c_1010_2^7 + 231742134173488533201/3033114439250*c_1010_2^6 - 9728777116811481297/606622887850*c_1010_2^5 - 1597036084547681579/60662288785*c_1010_2^4 + 51438788946356035867/1516557219625*c_1010_2^3 - 27595101129200095352/1516557219625*c_1010_2^2 + 7104033298939048604/1516557219625*c_1010_2 - 1426278344834591273/3033114439250, c_0011_0 - 1, c_0011_2 - 3656639196299/1733208251*c_1010_2^17 + 12983233625229/1733208251*c_1010_2^16 + 42401456988757/1733208251*c_1010_2^15 - 108927648449560/1733208251*c_1010_2^14 + 298423719565098/1733208251*c_1010_2^13 - 677654004159894/1733208251*c_1010_2^12 + 744892695057543/1733208251*c_1010_2^11 - 498912379456430/1733208251*c_1010_2^10 + 42689257539077/1733208251*c_1010_2^9 + 1094254923530056/1733208251*c_1010_2^8 - 1800937382862906/1733208251*c_1010_2^7 + 1263876985924047/1733208251*c_1010_2^6 - 280258859272783/1733208251*c_1010_2^5 - 418519715435638/1733208251*c_1010_2^4 + 554208118950570/1733208251*c_1010_2^3 - 303056341899145/1733208251*c_1010_2^2 + 79522402214528/1733208251*c_1010_2 - 8134133589275/1733208251, c_0011_4 - 3461188473618/1733208251*c_1010_2^17 + 12280124037220/1733208251*c_1010_2^16 + 40156967738422/1733208251*c_1010_2^15 - 102969201899931/1733208251*c_1010_2^14 + 282344515492251/1733208251*c_1010_2^13 - 640902715876275/1733208251*c_1010_2^12 + 704083088440588/1733208251*c_1010_2^11 - 471837202885290/1733208251*c_1010_2^10 + 40247474702447/1733208251*c_1010_2^9 + 1035289067008526/1733208251*c_1010_2^8 - 1702287896311186/1733208251*c_1010_2^7 + 1194769246638343/1733208251*c_1010_2^6 - 265231261546327/1733208251*c_1010_2^5 - 395580978626092/1733208251*c_1010_2^4 + 523808270138847/1733208251*c_1010_2^3 - 286558740535343/1733208251*c_1010_2^2 + 75329501323721/1733208251*c_1010_2 - 7733250630223/1733208251, c_0101_2 - 1818933678222/1733208251*c_1010_2^17 + 6454879516211/1733208251*c_1010_2^16 + 21102764692563/1733208251*c_1010_2^15 - 54141023197305/1733208251*c_1010_2^14 + 148360777694342/1733208251*c_1010_2^13 - 336835673163915/1733208251*c_1010_2^12 + 369988036715550/1733208251*c_1010_2^11 - 247659932787671/1733208251*c_1010_2^10 + 20917154125909/1733208251*c_1010_2^9 + 544267358879759/1733208251*c_1010_2^8 - 894856730519379/1733208251*c_1010_2^7 + 627363324332317/1733208251*c_1010_2^6 - 138630222939579/1733208251*c_1010_2^5 - 208238982499947/1733208251*c_1010_2^4 + 275293421135559/1733208251*c_1010_2^3 - 150365820125475/1733208251*c_1010_2^2 + 39385450991684/1733208251*c_1010_2 - 4016201907891/1733208251, c_0101_3 - 1384086883007/1733208251*c_1010_2^17 + 4963134332008/1733208251*c_1010_2^16 + 15892437189244/1733208251*c_1010_2^15 - 41849298578607/1733208251*c_1010_2^14 + 114207355826579/1733208251*c_1010_2^13 - 260060509187727/1733208251*c_1010_2^12 + 289804118899987/1733208251*c_1010_2^11 - 196141728542159/1733208251*c_1010_2^10 + 20320263397028/1733208251*c_1010_2^9 + 415046663284991/1733208251*c_1010_2^8 - 696020838331355/1733208251*c_1010_2^7 + 497639709852537/1733208251*c_1010_2^6 - 116395164753656/1733208251*c_1010_2^5 - 158239738913477/1733208251*c_1010_2^4 + 215459253048927/1733208251*c_1010_2^3 - 120190225316613/1733208251*c_1010_2^2 + 32265994734940/1733208251*c_1010_2 - 3387091861516/1733208251, c_0101_6 - 2887975273598/1733208251*c_1010_2^17 + 10228555678046/1733208251*c_1010_2^16 + 33563225411784/1733208251*c_1010_2^15 - 85688303840845/1733208251*c_1010_2^14 + 235137736652424/1733208251*c_1010_2^13 - 533473899353253/1733208251*c_1010_2^12 + 584653007657151/1733208251*c_1010_2^11 - 391119123822807/1733208251*c_1010_2^10 + 32122355021514/1733208251*c_1010_2^9 + 863487429694492/1733208251*c_1010_2^8 - 1415150343498754/1733208251*c_1010_2^7 + 990056254534375/1733208251*c_1010_2^6 - 217718473273410/1733208251*c_1010_2^5 - 330070594424598/1733208251*c_1010_2^4 + 435001376121403/1733208251*c_1010_2^3 - 237163609172870/1733208251*c_1010_2^2 + 62107550589153/1733208251*c_1010_2 - 6349163747216/1733208251, c_1010_2^18 - 4*c_1010_2^17 - 10*c_1010_2^16 + 35*c_1010_2^15 - 95*c_1010_2^14 + 222*c_1010_2^13 - 287*c_1010_2^12 + 228*c_1010_2^11 - 73*c_1010_2^10 - 294*c_1010_2^9 + 627*c_1010_2^8 - 567*c_1010_2^7 + 232*c_1010_2^6 + 80*c_1010_2^5 - 203*c_1010_2^4 + 151*c_1010_2^3 - 59*c_1010_2^2 + 12*c_1010_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB