Magma V2.19-8 Wed Aug 21 2013 00:11:48 on localhost [Seed = 156198207] Type ? for help. Type -D to quit. Loading file "K13n3000__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3000 geometric_solution 11.71823354 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 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 0.707497264796 0.929421850017 0 5 7 6 0132 0132 0132 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 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 0.294173824951 0.469832155436 7 0 4 5 2031 0132 3201 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 0.042653760624 1.529000913728 6 7 8 0 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546045737018 0.302215380254 2 9 0 10 2310 0132 0132 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 -1 1 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105440287575 0.721323394002 9 1 6 2 0321 0132 3012 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 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 0.481450449018 0.681205860404 3 5 1 10 0132 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.801589558025 1.357337851623 9 3 2 1 3201 2103 1302 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545132920432 1.445012605963 11 9 12 3 0132 0213 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338880622520 0.976517274447 5 4 8 7 0321 0132 0213 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.401914302158 0.775905817384 6 11 4 12 3120 0132 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 1 -1 0 0 0 1 -1 0 8 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338880622520 0.976517274447 8 10 12 12 0132 0132 2103 0321 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 -1 1 0 0 0 1 -1 0 1 0 -1 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.012475148124 1.441106508494 11 11 10 8 2103 0321 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 0 0 0 -1 0 1 0 -1 1 0 0 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.012475148124 1.441106508494 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_7' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0101_11'], '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_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11'], '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_12, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 87676358055166599577249314743/17852563090807812850253360512*c_1100_\ 0^18 + 13295045665708254594649547131/8926281545403906425126680256*c\ _1100_0^17 + 306344862936473239058056074875/89262815454039064251266\ 80256*c_1100_0^16 - 375251871956073404179697973775/4463140772701953\ 212563340128*c_1100_0^15 - 3772928165607376564748373986071/17852563\ 090807812850253360512*c_1100_0^14 + 4517632781736087935526084253205/8926281545403906425126680256*c_1100\ _0^13 + 1882509268639873631618692080339/892628154540390642512668025\ 6*c_1100_0^12 - 1196035676303490002019449701299/5578925965877441515\ 70417516*c_1100_0^11 + 16424809145033641325106893464443/17852563090\ 807812850253360512*c_1100_0^10 + 948853701574154290816411073079/686\ 637041954146648086667712*c_1100_0^9 - 116512004176890890908291491154767/8926281545403906425126680256*c_11\ 00_0^8 - 14157436468447539325380517940451/1115785193175488303140835\ 032*c_1100_0^7 + 37927960726054480765870845456051/17852563090807812\ 850253360512*c_1100_0^6 - 18538188763631253789325708844333/89262815\ 45403906425126680256*c_1100_0^5 - 27788716123358919819445653610519/\ 8926281545403906425126680256*c_1100_0^4 + 127558004920940868550411268561/26409116998236409541794912*c_1100_0^\ 3 + 3334143703977478165986763043387/1115785193175488303140835032*c_\ 1100_0^2 - 2177621839998602702203684688691/446314077270195321256334\ 0128*c_1100_0 - 9067544710251335571827647678/1394731491469360378926\ 04379, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_12 - 62768973267057249714933/3301139624779551192724364*c_1100_0^\ 18 + 64140719705496474283493/825284906194887798181091*c_1100_0^17 - 11249052856571022589583/1650569812389775596362182*c_1100_0^16 - 1971950559598472948178037/3301139624779551192724364*c_1100_0^15 + 701581108345546622327218/825284906194887798181091*c_1100_0^14 + 7656803319860480665452911/3301139624779551192724364*c_1100_0^13 - 5871107260065691634117397/825284906194887798181091*c_1100_0^12 + 2513144511741843985084887/1650569812389775596362182*c_1100_0^11 + 61177998482867450461238749/3301139624779551192724364*c_1100_0^10 - 52659199701151618691313069/1650569812389775596362182*c_1100_0^9 - 15701210860409606229656105/1650569812389775596362182*c_1100_0^8 + 239186545020005671435487551/3301139624779551192724364*c_1100_0^7 - 1955652441686928632232805/825284906194887798181091*c_1100_0^6 - 63587457442149260644810929/3301139624779551192724364*c_1100_0^5 + 22414084241469392547305791/825284906194887798181091*c_1100_0^4 - 5289277734568865570660780/825284906194887798181091*c_1100_0^3 - 16265622816586191335180239/825284906194887798181091*c_1100_0^2 + 1735310385016951630354698/825284906194887798181091*c_1100_0 + 1845618311121823181301770/825284906194887798181091, c_0011_3 + 39419733266744252499494/825284906194887798181091*c_1100_0^18 - 143784518063848854308021/825284906194887798181091*c_1100_0^17 - 48630029080108039007098/825284906194887798181091*c_1100_0^16 + 2449998484005748896299263/1650569812389775596362182*c_1100_0^15 - 2497212810133029929046235/1650569812389775596362182*c_1100_0^14 - 21459117552582844497268541/3301139624779551192724364*c_1100_0^13 + 25218733465882485274094847/1650569812389775596362182*c_1100_0^12 + 2236099492458053806973560/825284906194887798181091*c_1100_0^11 - 38279238589620400412564297/825284906194887798181091*c_1100_0^10 + 102426659266702508023364385/1650569812389775596362182*c_1100_0^9 + 42618504758454804964371389/825284906194887798181091*c_1100_0^8 - 272281151055860561121733641/1650569812389775596362182*c_1100_0^7 - 91438540435950989202828295/1650569812389775596362182*c_1100_0^6 + 115719186474200017804600595/3301139624779551192724364*c_1100_0^5 - 100993975284069406786449895/1650569812389775596362182*c_1100_0^4 - 5265354905856392287801827/825284906194887798181091*c_1100_0^3 + 39041826299807289744888405/825284906194887798181091*c_1100_0^2 + 7019983866166398205179115/825284906194887798181091*c_1100_0 - 1551096277638348972170145/825284906194887798181091, c_0011_4 - 147675061889420838595954/825284906194887798181091*c_1100_0^1\ 8 + 268381032238037524751063/825284906194887798181091*c_1100_0^17 + 1203647096120867738743201/1650569812389775596362182*c_1100_0^16 - 6748918280848852741513917/1650569812389775596362182*c_1100_0^15 - 2367483180672584218289735/1650569812389775596362182*c_1100_0^14 + 16378918295162567822232375/825284906194887798181091*c_1100_0^13 - 18191338327154282711179600/825284906194887798181091*c_1100_0^12 - 34034785629662279374577115/825284906194887798181091*c_1100_0^11 + 74112187902621968939451714/825284906194887798181091*c_1100_0^10 - 74010668506119175565106920/825284906194887798181091*c_1100_0^9 - 527982238428263021268904793/1650569812389775596362182*c_1100_0^8 - 1987392710649259878839037/825284906194887798181091*c_1100_0^7 + 69216457401730328730293505/1650569812389775596362182*c_1100_0^6 - 80023342921058906285849330/825284906194887798181091*c_1100_0^5 + 47253816222105734638926580/825284906194887798181091*c_1100_0^4 + 137684114795501783051436233/1650569812389775596362182*c_1100_0^3 - 7594453555106170069458955/825284906194887798181091*c_1100_0^2 - 6366063327642757161922252/825284906194887798181091*c_1100_0 + 52011686506233686610255/825284906194887798181091, c_0011_7 - 73515075539080436751257/3301139624779551192724364*c_1100_0^1\ 8 + 136640189888759875157555/3301139624779551192724364*c_1100_0^17 + 64437657685338201099450/825284906194887798181091*c_1100_0^16 - 1640329326217362575332139/3301139624779551192724364*c_1100_0^15 - 351687684983599452212483/3301139624779551192724364*c_1100_0^14 + 7416406511640670516828399/3301139624779551192724364*c_1100_0^13 - 4995136006543486680095457/1650569812389775596362182*c_1100_0^12 - 6385716820719713528189429/1650569812389775596362182*c_1100_0^11 + 34669585209312089171031781/3301139624779551192724364*c_1100_0^10 - 47961868718390383252756891/3301139624779551192724364*c_1100_0^9 - 28911373693082133193340257/825284906194887798181091*c_1100_0^8 - 7458988341192835759844711/3301139624779551192724364*c_1100_0^7 - 52665419082370570173392593/3301139624779551192724364*c_1100_0^6 - 69460064344789545167893575/3301139624779551192724364*c_1100_0^5 + 13065422341702522690252207/1650569812389775596362182*c_1100_0^4 + 3458489091083511738393277/825284906194887798181091*c_1100_0^3 - 516757246696929106843758/825284906194887798181091*c_1100_0^2 + 4139727589114049263278144/825284906194887798181091*c_1100_0 + 807390560285033708594080/825284906194887798181091, c_0101_0 + 147675061889420838595954/825284906194887798181091*c_1100_0^1\ 8 - 268381032238037524751063/825284906194887798181091*c_1100_0^17 - 1203647096120867738743201/1650569812389775596362182*c_1100_0^16 + 6748918280848852741513917/1650569812389775596362182*c_1100_0^15 + 2367483180672584218289735/1650569812389775596362182*c_1100_0^14 - 16378918295162567822232375/825284906194887798181091*c_1100_0^13 + 18191338327154282711179600/825284906194887798181091*c_1100_0^12 + 34034785629662279374577115/825284906194887798181091*c_1100_0^11 - 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