Magma V2.19-8 Tue Aug 20 2013 23:29:43 on localhost [Seed = 1140990486] Type ? for help. Type -D to quit. Loading file "K12n723__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n723 geometric_solution 7.55500575 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 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 -1 0 1 0 0 0 0 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751938022120 0.587072842110 0 5 4 6 0132 0132 3201 0132 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 0 0 0 -4 -1 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451936022267 0.333103691849 6 0 3 6 1230 0132 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -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 -5 0 0 5 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986908376366 0.715392984337 7 2 8 0 0132 1230 0132 0132 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289634112698 0.495746339697 1 7 0 5 2310 2103 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.187186022817 0.662140375532 8 1 8 4 0213 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331311724902 1.594852770496 7 2 1 2 2103 3012 0132 2103 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 5 0 -5 0 0 0 0 -1 0 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541025113937 1.434816522306 3 4 6 8 0132 2103 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.653136581876 0.699763815188 5 7 5 3 0213 1302 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331311724902 1.594852770496 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_8'], 's_2_8' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_6']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0110_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_0'], 'c_0110_8' : d['c_0011_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0110_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 8590357333471968041/88186236078263187*c_1100_0^14 - 60845744470517723149/176372472156526374*c_1100_0^13 - 84407092693940175025/176372472156526374*c_1100_0^12 + 20262824510358682538/88186236078263187*c_1100_0^11 + 52428135843814282701/29395412026087729*c_1100_0^10 + 79940619365831775136/29395412026087729*c_1100_0^9 - 51361519740222256645/58790824052175458*c_1100_0^8 - 406774125577903620091/58790824052175458*c_1100_0^7 - 505385402235347781028/29395412026087729*c_1100_0^6 - 1799693924326701866731/58790824052175458*c_1100_0^5 - 3868663332384534874607/176372472156526374*c_1100_0^4 - 274730549644051111406/88186236078263187*c_1100_0^3 + 967581168263440014386/88186236078263187*c_1100_0^2 + 607378276813089548733/58790824052175458*c_1100_0 - 452072655212164119190/88186236078263187, c_0011_0 - 1, c_0011_3 + 223138692301945/1013634897451301*c_1100_0^14 + 789115308707754/1013634897451301*c_1100_0^13 + 1090157475330732/1013634897451301*c_1100_0^12 - 545264662159262/1013634897451301*c_1100_0^11 - 4095373633293442/1013634897451301*c_1100_0^10 - 6195872012378353/1013634897451301*c_1100_0^9 + 2107032122554218/1013634897451301*c_1100_0^8 + 15908123879627338/1013634897451301*c_1100_0^7 + 39265740876080365/1013634897451301*c_1100_0^6 + 69608967415877319/1013634897451301*c_1100_0^5 + 49589638504839868/1013634897451301*c_1100_0^4 + 5518445843451376/1013634897451301*c_1100_0^3 - 25679014551472300/1013634897451301*c_1100_0^2 - 22368900990402739/1013634897451301*c_1100_0 + 11773152211854492/1013634897451301, c_0011_4 + 444507820041847/1013634897451301*c_1100_0^14 + 1565619620028380/1013634897451301*c_1100_0^13 + 2141737635591180/1013634897451301*c_1100_0^12 - 1137834784847096/1013634897451301*c_1100_0^11 - 8179325294833887/1013634897451301*c_1100_0^10 - 12212908814827454/1013634897451301*c_1100_0^9 + 4475815127106522/1013634897451301*c_1100_0^8 + 31820864907233517/1013634897451301*c_1100_0^7 + 77660096320315570/1013634897451301*c_1100_0^6 + 137152402635181501/1013634897451301*c_1100_0^5 + 95515280923496966/1013634897451301*c_1100_0^4 + 8517906296106450/1013634897451301*c_1100_0^3 - 53000324103778955/1013634897451301*c_1100_0^2 - 45607238586845023/1013634897451301*c_1100_0 + 24518883460997682/1013634897451301, c_0011_8 + 35354247879840/1013634897451301*c_1100_0^14 + 127283017604626/1013634897451301*c_1100_0^13 + 175913199893721/1013634897451301*c_1100_0^12 - 92441558972818/1013634897451301*c_1100_0^11 - 689574031996435/1013634897451301*c_1100_0^10 - 1030708467578574/1013634897451301*c_1100_0^9 + 361298481016228/1013634897451301*c_1100_0^8 + 2761039959640076/1013634897451301*c_1100_0^7 + 6430483493023241/1013634897451301*c_1100_0^6 + 11078667986468002/1013634897451301*c_1100_0^5 + 7297424204689722/1013634897451301*c_1100_0^4 - 272212397611938/1013634897451301*c_1100_0^3 - 5906036477462623/1013634897451301*c_1100_0^2 - 4244954342892011/1013634897451301*c_1100_0 + 3029271736844147/1013634897451301, c_0101_0 + 510428412024091/1013634897451301*c_1100_0^14 + 1789778176254058/1013634897451301*c_1100_0^13 + 2447683562384653/1013634897451301*c_1100_0^12 - 1286071384896002/1013634897451301*c_1100_0^11 - 9314989225541627/1013634897451301*c_1100_0^10 - 13972659081723515/1013634897451301*c_1100_0^9 + 5023701408621257/1013634897451301*c_1100_0^8 + 36156605797160452/1013634897451301*c_1100_0^7 + 89108284698591972/1013634897451301*c_1100_0^6 + 157480046602379535/1013634897451301*c_1100_0^5 + 109271626475694417/1013634897451301*c_1100_0^4 + 11969362451409582/1013634897451301*c_1100_0^3 - 60088603293244210/1013634897451301*c_1100_0^2 - 54043901157994927/1013634897451301*c_1100_0 + 28519635091903959/1013634897451301, c_0101_1 + 12734681171367/1013634897451301*c_1100_0^14 + 80123464298876/1013634897451301*c_1100_0^13 + 180203331240427/1013634897451301*c_1100_0^12 + 145208123429540/1013634897451301*c_1100_0^11 - 275072892903701/1013634897451301*c_1100_0^10 - 894944072676848/1013634897451301*c_1100_0^9 - 837731965562831/1013634897451301*c_1100_0^8 + 1025490112289865/1013634897451301*c_1100_0^7 + 4161114297078016/1013634897451301*c_1100_0^6 + 10143833437151100/1013634897451301*c_1100_0^5 + 14009572499923633/1013634897451301*c_1100_0^4 + 10202087516593313/1013634897451301*c_1100_0^3 + 3896375324687856/1013634897451301*c_1100_0^2 - 2147061859871580/1013634897451301*c_1100_0 - 1787273723995465/1013634897451301, c_0101_2 - 344724076447294/1013634897451301*c_1100_0^14 - 1204779498401217/1013634897451301*c_1100_0^13 - 1645412244435956/1013634897451301*c_1100_0^12 + 866158785058586/1013634897451301*c_1100_0^11 + 6256635929659320/1013634897451301*c_1100_0^10 + 9397153802730593/1013634897451301*c_1100_0^9 - 3390946901483714/1013634897451301*c_1100_0^8 - 24243825369250206/1013634897451301*c_1100_0^7 - 60021095292685217/1013634897451301*c_1100_0^6 - 106076609328416619/1013634897451301*c_1100_0^5 - 73552182328842039/1013634897451301*c_1100_0^4 - 8878666580976417/1013634897451301*c_1100_0^3 + 39447703348260433/1013634897451301*c_1100_0^2 + 37068608979686646/1013634897451301*c_1100_0 - 19318576008871500/1013634897451301, c_0110_6 - 4902933482538/1013634897451301*c_1100_0^14 - 26241337241233/1013634897451301*c_1100_0^13 - 55190279229187/1013634897451301*c_1100_0^12 - 23585969782094/1013634897451301*c_1100_0^11 + 133767130796994/1013634897451301*c_1100_0^10 + 306925654258420/1013634897451301*c_1100_0^9 + 140718183408741/1013634897451301*c_1100_0^8 - 536392315048399/1013634897451301*c_1100_0^7 - 1494847180552478/1013634897451301*c_1100_0^6 - 2844196773830659/1013634897451301*c_1100_0^5 - 3494941161485911/1013634897451301*c_1100_0^4 - 1586282566560034/1013634897451301*c_1100_0^3 + 2273484568473234/1013634897451301*c_1100_0^2 + 1625780222022559/1013634897451301*c_1100_0 - 795939133939067/1013634897451301, c_1100_0^15 + 3*c_1100_0^14 + 3*c_1100_0^13 - 5*c_1100_0^12 - 17*c_1100_0^11 - 18*c_1100_0^10 + 24*c_1100_0^9 + 66*c_1100_0^8 + 138*c_1100_0^7 + 219*c_1100_0^6 + 56*c_1100_0^5 - 88*c_1100_0^4 - 128*c_1100_0^3 - 44*c_1100_0^2 + 110*c_1100_0 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB