Magma V2.19-8 Wed Aug 21 2013 00:56:44 on localhost [Seed = 964633593] Type ? for help. Type -D to quit. Loading file "L13n2858__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2858 geometric_solution 11.71244054 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 0 0 0 -1 0 1 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 0.253895193029 0.936806159082 0 4 6 5 0132 3012 0132 0132 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 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 0.484010335882 0.266529584072 7 0 9 8 0132 0132 0132 0132 1 0 1 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 1 -1 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.587036795668 0.796432785811 5 10 11 0 0132 0132 0132 0132 1 1 1 1 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 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468694571062 0.478949067696 1 8 0 7 1230 0321 0132 3012 1 1 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 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 -0.198114850679 1.308322626797 3 9 1 9 0132 2103 0132 1302 0 1 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 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 1.038359619521 0.936036683640 12 8 10 1 0132 1023 1230 0132 0 1 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 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 0.486200472036 0.901247127293 2 11 4 12 0132 1230 1230 2031 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582212408741 0.642929858833 6 10 2 4 1023 0213 0132 0321 1 0 0 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 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 0.680810581155 0.593002786651 12 5 5 2 2031 2103 2031 0132 1 0 0 1 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 -1 0 1 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 0.468694571062 0.478949067696 11 3 8 6 0321 0132 0213 3012 1 0 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744061113984 0.800473645961 10 12 7 3 0321 2310 3012 0132 1 1 1 0 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 4 -1 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539747455623 1.198427342351 6 7 9 11 0132 1302 1302 3201 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 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 0.460207378126 0.767297645401 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_9' : d['c_1001_2'], 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_1001_2'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_7']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_9']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_9, c_0101_0, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 123376396195599349184/1085546191369349404123*c_1001_7^10 + 3335660924659166671712/9769915722324144637107*c_1001_7^9 - 760667268270647025536/888174156574922239737*c_1001_7^8 - 27071200498454842567312/9769915722324144637107*c_1001_7^7 - 9900722468529410213408/9769915722324144637107*c_1001_7^6 + 30577169291940904881056/9769915722324144637107*c_1001_7^5 + 74810226210053472040328/9769915722324144637107*c_1001_7^4 + 52090430779119997204982/9769915722324144637107*c_1001_7^3 + 637063200904017853676/751531978640318818239*c_1001_7^2 - 2056611997938342513211/1085546191369349404123*c_1001_7 + 1566778046733309654239/19539831444648289274214, c_0011_0 - 1, c_0011_10 + 1078580913180736/4115976201415851*c_1001_7^10 + 3008553537925312/4115976201415851*c_1001_7^9 - 3948137772336896/4115976201415851*c_1001_7^8 - 20346380552043136/4115976201415851*c_1001_7^7 - 24516968538717488/4115976201415851*c_1001_7^6 - 9212903571942944/4115976201415851*c_1001_7^5 + 14060731784505820/4115976201415851*c_1001_7^4 + 13146520641161896/4115976201415851*c_1001_7^3 - 860190794110122/1371992067138617*c_1001_7^2 - 11098003769598601/4115976201415851*c_1001_7 - 65513048761636/1371992067138617, c_0011_11 - 6543357769250368/4115976201415851*c_1001_7^10 - 14296135835644480/4115976201415851*c_1001_7^9 + 33658809514045856/4115976201415851*c_1001_7^8 + 105531456437073952/4115976201415851*c_1001_7^7 + 82019926636015856/4115976201415851*c_1001_7^6 - 8362621470907720/4115976201415851*c_1001_7^5 - 107944515306591724/4115976201415851*c_1001_7^4 - 39334770668527768/4115976201415851*c_1001_7^3 + 13104703957096360/1371992067138617*c_1001_7^2 + 61298067758489605/4115976201415851*c_1001_7 - 6183039523901431/1371992067138617, c_0011_12 + 8659087600359104/4115976201415851*c_1001_7^10 + 19736354915660672/4115976201415851*c_1001_7^9 - 42180334520060512/4115976201415851*c_1001_7^8 - 142273372231344512/4115976201415851*c_1001_7^7 - 124098333470625280/4115976201415851*c_1001_7^6 - 10127158335273256/4115976201415851*c_1001_7^5 + 132856428231019868/4115976201415851*c_1001_7^4 + 63479237456274128/4115976201415851*c_1001_7^3 - 14564254676706464/1371992067138617*c_1001_7^2 - 87469809609612701/4115976201415851*c_1001_7 + 6443324403030717/1371992067138617, c_0011_4 - 24123657622939712/4115976201415851*c_1001_7^10 - 52433019204895424/4115976201415851*c_1001_7^9 + 122703050453914912/4115976201415851*c_1001_7^8 + 383608333931784992/4115976201415851*c_1001_7^7 + 309228622603895440/4115976201415851*c_1001_7^6 - 5100442604760824/4115976201415851*c_1001_7^5 - 381764816045938940/4115976201415851*c_1001_7^4 - 140272112702271008/4115976201415851*c_1001_7^3 + 43694322029744504/1371992067138617*c_1001_7^2 + 229009233754335725/4115976201415851*c_1001_7 - 21530942297560938/1371992067138617, c_0011_9 + 9360226391052160/4115976201415851*c_1001_7^10 + 20436994713308800/4115976201415851*c_1001_7^9 - 47177589075848192/4115976201415851*c_1001_7^8 - 148523073394812256/4115976201415851*c_1001_7^7 - 122684677337516576/4115976201415851*c_1001_7^6 - 5276085464255072/4115976201415851*c_1001_7^5 + 145424642434298944/4115976201415851*c_1001_7^4 + 59357117262545752/4115976201415851*c_1001_7^3 - 15653287043692860/1371992067138617*c_1001_7^2 - 85820611861805170/4115976201415851*c_1001_7 + 5274352094763765/1371992067138617, c_0101_0 - 1, c_0101_2 - 3551407149403328/1371992067138617*c_1001_7^10 - 7703873876320000/1371992067138617*c_1001_7^9 + 17450158117559520/1371992067138617*c_1001_7^8 + 55066761208601472/1371992067138617*c_1001_7^7 + 48977239873605584/1371992067138617*c_1001_7^6 + 8742185917156680/1371992067138617*c_1001_7^5 - 51110421138865756/1371992067138617*c_1001_7^4 - 20402173776775012/1371992067138617*c_1001_7^3 + 12277791514487392/1371992067138617*c_1001_7^2 + 30791598664919735/1371992067138617*c_1001_7 - 1814440048608865/1371992067138617, c_0101_6 - 1322795724519232/4115976201415851*c_1001_7^10 - 2875010033546944/4115976201415851*c_1001_7^9 + 6732618794408384/4115976201415851*c_1001_7^8 + 20921525691757024/4115976201415851*c_1001_7^7 + 16765176098403920/4115976201415851*c_1001_7^6 + 1159369863276896/4115976201415851*c_1001_7^5 - 19857834674720296/4115976201415851*c_1001_7^4 - 10945141965999700/4115976201415851*c_1001_7^3 + 1705939345778516/1371992067138617*c_1001_7^2 + 9687777214229992/4115976201415851*c_1001_7 - 1069569510559761/1371992067138617, c_0101_7 + 1483480516809088/1371992067138617*c_1001_7^10 + 3258843664992128/1371992067138617*c_1001_7^9 - 7769859023974848/1371992067138617*c_1001_7^8 - 24169929361737152/1371992067138617*c_1001_7^7 - 17685061295478384/1371992067138617*c_1001_7^6 + 2925457535497728/1371992067138617*c_1001_7^5 + 24449285669934584/1371992067138617*c_1001_7^4 + 9821774499175832/1371992067138617*c_1001_7^3 - 11238831676437172/1371992067138617*c_1001_7^2 - 15680360165570590/1371992067138617*c_1001_7 + 4431080277671660/1371992067138617, c_1001_0 - 1524479322079040/4115976201415851*c_1001_7^10 - 3143216703206528/4115976201415851*c_1001_7^9 + 7808809644576256/4115976201415851*c_1001_7^8 + 22865129674628672/4115976201415851*c_1001_7^7 + 18370707512369296/4115976201415851*c_1001_7^6 + 1069152679765024/4115976201415851*c_1001_7^5 - 21372747549618908/4115976201415851*c_1001_7^4 - 3420233367758552/4115976201415851*c_1001_7^3 + 4029011391301292/1371992067138617*c_1001_7^2 + 11943487992548306/4115976201415851*c_1001_7 - 1697651750119663/1371992067138617, c_1001_2 + 3366582123505216/4115976201415851*c_1001_7^10 + 8346765292681792/4115976201415851*c_1001_7^9 - 15277365442992224/4115976201415851*c_1001_7^8 - 58914949489911040/4115976201415851*c_1001_7^7 - 56211790308496880/4115976201415851*c_1001_7^6 - 10676457678940424/4115976201415851*c_1001_7^5 + 48235120790366452/4115976201415851*c_1001_7^4 + 33191393656365436/4115976201415851*c_1001_7^3 - 4942676708386384/1371992067138617*c_1001_7^2 - 34651976001921991/4115976201415851*c_1001_7 + 993613519066635/1371992067138617, c_1001_7^11 + 2*c_1001_7^10 - 11/2*c_1001_7^9 - 15*c_1001_7^8 - 39/4*c_1001_7^7 + 19/8*c_1001_7^6 + 245/16*c_1001_7^5 + 47/16*c_1001_7^4 - 113/16*c_1001_7^3 - 505/64*c_1001_7^2 + 263/64*c_1001_7 - 33/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB