Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 374836005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2827 geometric_solution 6.04986481 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 -1 0 1 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 0.736552528228 0.556836640608 0 3 5 4 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 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 0.660808958653 1.072286384982 0 0 2 2 2310 0132 1230 3012 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.633733222240 0.515297326569 5 6 0 1 1023 0132 0132 0321 0 0 0 0 0 1 -1 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 -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 0.660808958653 1.072286384982 6 5 1 6 3012 3201 0132 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265974005565 0.528617374349 6 3 4 1 2310 1023 2310 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 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 -0.106386162180 1.479387387485 4 3 5 4 3012 0132 3201 1230 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 0 1 0 -1 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 0.265974005565 0.528617374349 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 8809720732198307/53993514777160032*c_0101_5^15 + 27264342084091865/53993514777160032*c_0101_5^14 + 4168666586871777/5999279419684448*c_0101_5^13 - 91027375366171615/53993514777160032*c_0101_5^12 + 15886179097130729/26996757388580016*c_0101_5^11 - 203948123883241111/53993514777160032*c_0101_5^10 - 4048693565672863/26996757388580016*c_0101_5^9 + 49955623058669455/8998919129526672*c_0101_5^8 - 494804412947829703/53993514777160032*c_0101_5^7 + 237947026653056371/26996757388580016*c_0101_5^6 + 61494479718150613/13498378694290008*c_0101_5^5 - 72307357009783613/17997838259053344*c_0101_5^4 - 17051149153147025/1687297336786251*c_0101_5^3 + 1202052708169223/187477481865139*c_0101_5^2 - 492201555056376937/53993514777160032*c_0101_5 + 79893594955755257/17997838259053344, c_0011_0 - 1, c_0011_3 + 90069860882516/562432445595417*c_0101_5^15 - 373475970228634/562432445595417*c_0101_5^14 + 5355403258953/187477481865139*c_0101_5^13 + 858235689540358/562432445595417*c_0101_5^12 - 1044672734238449/562432445595417*c_0101_5^11 + 2948996035799734/562432445595417*c_0101_5^10 - 3310175434633775/562432445595417*c_0101_5^9 + 527242681951432/187477481865139*c_0101_5^8 + 1536848497308637/562432445595417*c_0101_5^7 - 1024894234677312/187477481865139*c_0101_5^6 - 965689489845424/187477481865139*c_0101_5^5 + 6592184660934041/562432445595417*c_0101_5^4 - 113342797201273/187477481865139*c_0101_5^3 - 2260586591940719/562432445595417*c_0101_5^2 + 2521465245228203/562432445595417*c_0101_5 - 294727503536277/187477481865139, c_0011_4 - 90069860882516/562432445595417*c_0101_5^15 + 373475970228634/562432445595417*c_0101_5^14 - 5355403258953/187477481865139*c_0101_5^13 - 858235689540358/562432445595417*c_0101_5^12 + 1044672734238449/562432445595417*c_0101_5^11 - 2948996035799734/562432445595417*c_0101_5^10 + 3310175434633775/562432445595417*c_0101_5^9 - 527242681951432/187477481865139*c_0101_5^8 - 1536848497308637/562432445595417*c_0101_5^7 + 1024894234677312/187477481865139*c_0101_5^6 + 965689489845424/187477481865139*c_0101_5^5 - 6592184660934041/562432445595417*c_0101_5^4 + 113342797201273/187477481865139*c_0101_5^3 + 2260586591940719/562432445595417*c_0101_5^2 - 2521465245228203/562432445595417*c_0101_5 + 294727503536277/187477481865139, c_0101_0 + 39537290257478/187477481865139*c_0101_5^15 - 450990757275103/562432445595417*c_0101_5^14 - 44678339918745/187477481865139*c_0101_5^13 + 363275597838060/187477481865139*c_0101_5^12 - 1025786395761599/562432445595417*c_0101_5^11 + 1180887908034632/187477481865139*c_0101_5^10 - 3109893176313176/562432445595417*c_0101_5^9 + 299223290024567/187477481865139*c_0101_5^8 + 862902144296578/187477481865139*c_0101_5^7 - 3406198342019186/562432445595417*c_0101_5^6 - 4558824737547538/562432445595417*c_0101_5^5 + 7114485754860079/562432445595417*c_0101_5^4 + 1628562287478886/562432445595417*c_0101_5^3 - 2166256555186999/562432445595417*c_0101_5^2 + 2798541023805881/562432445595417*c_0101_5 - 161377841907078/187477481865139, c_0101_1 - 14816629069911/187477481865139*c_0101_5^15 + 206341558728850/562432445595417*c_0101_5^14 - 25838262348823/187477481865139*c_0101_5^13 - 168566775736986/187477481865139*c_0101_5^12 + 720539863280885/562432445595417*c_0101_5^11 - 512286571287935/187477481865139*c_0101_5^10 + 2149413740644817/562432445595417*c_0101_5^9 - 288838344904331/187477481865139*c_0101_5^8 - 391002311695886/187477481865139*c_0101_5^7 + 2429804439082820/562432445595417*c_0101_5^6 + 824181429465808/562432445595417*c_0101_5^5 - 4195399838966047/562432445595417*c_0101_5^4 + 1100149627652567/562432445595417*c_0101_5^3 + 1968590679082705/562432445595417*c_0101_5^2 - 1461416015586935/562432445595417*c_0101_5 + 270158141698158/187477481865139, c_0101_2 - 100734520277558/562432445595417*c_0101_5^15 + 134572944357007/187477481865139*c_0101_5^14 + 14271345563979/187477481865139*c_0101_5^13 - 962675686993939/562432445595417*c_0101_5^12 + 334247461240570/187477481865139*c_0101_5^11 - 3158347886933299/562432445595417*c_0101_5^10 + 1095803979586557/187477481865139*c_0101_5^9 - 381555830120903/187477481865139*c_0101_5^8 - 1801678941885382/562432445595417*c_0101_5^7 + 3199304693966707/562432445595417*c_0101_5^6 + 3786095980838804/562432445595417*c_0101_5^5 - 6840172577083630/562432445595417*c_0101_5^4 - 638372784205601/562432445595417*c_0101_5^3 + 1717528014115867/562432445595417*c_0101_5^2 - 795874989765255/187477481865139*c_0101_5 + 285602702148350/187477481865139, c_0101_5^16 - 4*c_0101_5^15 + 8*c_0101_5^13 - 11*c_0101_5^12 + 35*c_0101_5^11 - 35*c_0101_5^10 + 24*c_0101_5^9 + 11*c_0101_5^8 - 31*c_0101_5^7 - 26*c_0101_5^6 + 57*c_0101_5^5 - 13*c_0101_5^4 + 35*c_0101_5^2 - 12*c_0101_5 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB