Magma V2.19-8 Tue Aug 20 2013 23:38:18 on localhost [Seed = 3230049518] Type ? for help. Type -D to quit. Loading file "K13n1154__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1154 geometric_solution 9.40000657 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 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 -1 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674983657541 0.966459724613 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 -6 6 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747330089321 0.659780873281 3 0 8 8 1023 0132 2031 0132 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 1 0 -1 0 0 0 0 6 -5 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127864665991 1.031715286927 9 2 8 0 0132 1023 2310 0132 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 0 6 -6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275262369354 0.408648279053 6 7 0 6 1230 1023 0132 2103 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 -1 1 -1 0 0 1 5 0 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672278817739 0.976169029823 7 1 5 5 1230 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 1.248017442082 0.663888308318 9 4 1 4 2103 3012 0132 2103 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 1 -6 5 1 0 0 -1 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309081366519 0.920647410123 4 5 9 1 1023 3012 3012 0132 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506197436737 1.321801183076 9 3 2 2 3201 3201 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.127864665991 1.031715286927 3 7 6 8 0132 1230 2103 2310 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 -1 1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674983657541 0.966459724613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_3']), 's_2_8' : d['1'], 's_2_9' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 225546529517025/2110997025844*c_0101_7^19 - 18675117901875/527749256461*c_0101_7^18 + 2069304757112331/2110997025844*c_0101_7^17 + 189731811476741/1055498512922*c_0101_7^16 + 1232035690479043/301571003692*c_0101_7^15 + 1364303366579889/527749256461*c_0101_7^14 + 22454676651835185/2110997025844*c_0101_7^13 + 5238345640774654/527749256461*c_0101_7^12 + 2912739296934085/150785501846*c_0101_7^11 + 21224434915693957/1055498512922*c_0101_7^10 + 52420251837666953/2110997025844*c_0101_7^9 + 13044428606707910/527749256461*c_0101_7^8 + 23345187654812231/1055498512922*c_0101_7^7 + 1426480265208998/75392750923*c_0101_7^6 + 1970966552000695/150785501846*c_0101_7^5 + 2599703910046851/301571003692*c_0101_7^4 + 2423517078578677/527749256461*c_0101_7^3 + 4283383979720155/2110997025844*c_0101_7^2 + 207523744032345/301571003692*c_0101_7 + 98602693732101/1055498512922, c_0011_0 - 1, c_0011_4 - 12082654605/43081571956*c_0101_7^19 + 10859107037/43081571956*c_0101_7^18 - 76482330389/43081571956*c_0101_7^17 + 20409741239/21540785978*c_0101_7^16 - 149472226301/43081571956*c_0101_7^15 + 132950591879/43081571956*c_0101_7^14 + 121829601553/43081571956*c_0101_7^13 + 181368493430/10770392989*c_0101_7^12 + 341811906538/10770392989*c_0101_7^11 + 610709691118/10770392989*c_0101_7^10 + 3591394950289/43081571956*c_0101_7^9 + 4591929405653/43081571956*c_0101_7^8 + 1260669305796/10770392989*c_0101_7^7 + 5008296068145/43081571956*c_0101_7^6 + 2035936559739/21540785978*c_0101_7^5 + 1552474006141/21540785978*c_0101_7^4 + 1798290977299/43081571956*c_0101_7^3 + 480781467971/21540785978*c_0101_7^2 + 332095999903/43081571956*c_0101_7 + 51180011335/21540785978, c_0011_6 + 20703232715/43081571956*c_0101_7^19 - 75714229451/43081571956*c_0101_7^18 + 222642535029/43081571956*c_0101_7^17 - 152038372807/10770392989*c_0101_7^16 + 802927532831/43081571956*c_0101_7^15 - 2198758603769/43081571956*c_0101_7^14 + 1062055278327/43081571956*c_0101_7^13 - 2474783725713/21540785978*c_0101_7^12 - 161386005511/10770392989*c_0101_7^11 - 1936417219694/10770392989*c_0101_7^10 - 4110184066839/43081571956*c_0101_7^9 - 8389333955567/43081571956*c_0101_7^8 - 2974482944879/21540785978*c_0101_7^7 - 5920695880945/43081571956*c_0101_7^6 - 1051273279844/10770392989*c_0101_7^5 - 606201108405/10770392989*c_0101_7^4 - 1417461038279/43081571956*c_0101_7^3 - 199816514559/21540785978*c_0101_7^2 - 173670119569/43081571956*c_0101_7 + 4776886785/10770392989, c_0011_8 + 1, c_0101_0 - c_0101_7, c_0101_1 + 20703232715/43081571956*c_0101_7^19 - 75714229451/43081571956*c_0101_7^18 + 222642535029/43081571956*c_0101_7^17 - 152038372807/10770392989*c_0101_7^16 + 802927532831/43081571956*c_0101_7^15 - 2198758603769/43081571956*c_0101_7^14 + 1062055278327/43081571956*c_0101_7^13 - 2474783725713/21540785978*c_0101_7^12 - 161386005511/10770392989*c_0101_7^11 - 1936417219694/10770392989*c_0101_7^10 - 4110184066839/43081571956*c_0101_7^9 - 8389333955567/43081571956*c_0101_7^8 - 2974482944879/21540785978*c_0101_7^7 - 5920695880945/43081571956*c_0101_7^6 - 1051273279844/10770392989*c_0101_7^5 - 606201108405/10770392989*c_0101_7^4 - 1417461038279/43081571956*c_0101_7^3 - 199816514559/21540785978*c_0101_7^2 - 173670119569/43081571956*c_0101_7 + 4776886785/10770392989, c_0101_2 + 112427585845/43081571956*c_0101_7^19 + 31993690431/21540785978*c_0101_7^18 + 492091910407/21540785978*c_0101_7^17 + 1144919135703/43081571956*c_0101_7^16 + 4269774914393/43081571956*c_0101_7^15 + 1702679636691/10770392989*c_0101_7^14 + 6287551925031/21540785978*c_0101_7^13 + 21071248556111/43081571956*c_0101_7^12 + 13326425809607/21540785978*c_0101_7^11 + 9875946171443/10770392989*c_0101_7^10 + 39490509772455/43081571956*c_0101_7^9 + 11797481099888/10770392989*c_0101_7^8 + 39395179166725/43081571956*c_0101_7^7 + 35681805137681/43081571956*c_0101_7^6 + 25206505097657/43081571956*c_0101_7^5 + 8031124117891/21540785978*c_0101_7^4 + 9265857133545/43081571956*c_0101_7^3 + 3654679336439/43081571956*c_0101_7^2 + 1437771380387/43081571956*c_0101_7 + 195513555617/43081571956, c_0101_3 - 23776300995/21540785978*c_0101_7^19 + 14617172514/10770392989*c_0101_7^18 - 120623192833/10770392989*c_0101_7^17 + 80840107467/10770392989*c_0101_7^16 - 1032940765929/21540785978*c_0101_7^15 + 116102920360/10770392989*c_0101_7^14 - 1281332533603/10770392989*c_0101_7^13 - 196395244507/10770392989*c_0101_7^12 - 2107262872158/10770392989*c_0101_7^11 - 989882104145/10770392989*c_0101_7^10 - 4840952558591/21540785978*c_0101_7^9 - 1704925048849/10770392989*c_0101_7^8 - 3864468201405/21540785978*c_0101_7^7 - 1581054719013/10770392989*c_0101_7^6 - 1979933960805/21540785978*c_0101_7^5 - 1534487868415/21540785978*c_0101_7^4 - 508342408853/21540785978*c_0101_7^3 - 137041316529/10770392989*c_0101_7^2 - 3397739094/10770392989*c_0101_7 + 16285253018/10770392989, c_0101_5 + 14775440070/10770392989*c_0101_7^19 - 39572822867/43081571956*c_0101_7^18 + 540843475373/43081571956*c_0101_7^17 - 119617467025/43081571956*c_0101_7^16 + 553298419269/10770392989*c_0101_7^15 + 303491024989/43081571956*c_0101_7^14 + 5447338533815/43081571956*c_0101_7^13 + 2049945527337/43081571956*c_0101_7^12 + 4426741960337/21540785978*c_0101_7^11 + 1100743877400/10770392989*c_0101_7^10 + 2404628849862/10770392989*c_0101_7^9 + 5145174794391/43081571956*c_0101_7^8 + 6833446854273/43081571956*c_0101_7^7 + 1837772407303/21540785978*c_0101_7^6 + 3014129546811/43081571956*c_0101_7^5 + 419724360278/10770392989*c_0101_7^4 + 371919867715/21540785978*c_0101_7^3 + 514477006705/43081571956*c_0101_7^2 + 20855243701/10770392989*c_0101_7 + 71702155653/43081571956, c_0101_7^20 - 2/5*c_0101_7^19 + 51/5*c_0101_7^18 + 2/5*c_0101_7^17 + 238/5*c_0101_7^16 + 20*c_0101_7^15 + 687/5*c_0101_7^14 + 96*c_0101_7^13 + 273*c_0101_7^12 + 1158/5*c_0101_7^11 + 1919/5*c_0101_7^10 + 1692/5*c_0101_7^9 + 1888/5*c_0101_7^8 + 1568/5*c_0101_7^7 + 1253/5*c_0101_7^6 + 903/5*c_0101_7^5 + 519/5*c_0101_7^4 + 59*c_0101_7^3 + 112/5*c_0101_7^2 + 41/5*c_0101_7 + 7/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB