Magma V2.19-8 Tue Aug 20 2013 23:41:02 on localhost [Seed = 256469996] Type ? for help. Type -D to quit. Loading file "K12n446__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n446 geometric_solution 11.09964048 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 3120 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049809369107 1.434763082133 0 0 4 2 0132 3120 0132 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 -1 0 0 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 0.904947142844 0.683183783955 3 1 5 0 1230 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427058286281 0.633524355444 5 2 0 6 1302 3012 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 -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 0.531535475066 1.409043877356 7 8 8 1 0132 0132 0321 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 0.352157981610 1.038014464987 9 3 10 2 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410561401029 0.259633342840 11 9 3 10 0132 3201 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477508339139 1.144751225855 4 11 9 10 0132 0132 0213 3120 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 5 0 -5 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 0.342577554907 0.400821826537 9 4 4 11 3201 0132 0321 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 0.352157981610 1.038014464987 5 7 6 8 0132 0213 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627218352848 0.992887102302 7 11 6 5 3120 2310 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 0 0 0 0 0 0 0 -1 0 0 1 5 -6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734868246107 0.685212238620 6 7 8 10 0132 0132 0132 3201 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 -5 -1 6 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 0.793500622628 0.737979535859 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_7' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_10'], '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' : d['c_0101_6'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0101_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_4'], 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 167950541600371693640047764171965/45780290020943872615142122178304*\ c_1100_0^16 - 1216985054781494425737598850596903/457802900209438726\ 15142122178304*c_1100_0^15 - 2671900147289494855507072872899735/228\ 90145010471936307571061089152*c_1100_0^14 - 3534473860931429506162707296358461/15260096673647957538380707392768\ *c_1100_0^13 - 6047958089723122754762130637408739/45780290020943872\ 615142122178304*c_1100_0^12 + 44067834373002720257551775508885575/4\ 5780290020943872615142122178304*c_1100_0^11 + 91976449144208160530718851710133515/4578029002094387261514212217830\ 4*c_1100_0^10 - 539436703896168341466942284633159/45780290020943872\ 615142122178304*c_1100_0^9 - 209295937549291690924533797172053347/1\ 5260096673647957538380707392768*c_1100_0^8 - 7316279469752825253810626590155313/210001330371302167959367532928*c\ _1100_0^7 - 423624789931834968607194104321053249/763004833682397876\ 9190353696384*c_1100_0^6 - 247449835333201765646315699938964075/508\ 6698891215985846126902464256*c_1100_0^5 - 713157107527700479932924796034628629/228901450104719363075710610891\ 52*c_1100_0^4 - 104690466585360596015881017669972035/15260096673647\ 957538380707392768*c_1100_0^3 - 5745990271980201237093713965891965/\ 1271674722803996461531725616064*c_1100_0^2 + 55151052346164372845316729669556315/1144507250523596815378553054457\ 6*c_1100_0 + 108440257756383289275692060143325/71531703157724800961\ 1595659036, c_0011_0 - 1, c_0011_10 - 1559058450628491574101403/262214489984843849998809344*c_110\ 0_0^16 - 10980125734001943728587131/262214489984843849998809344*c_1\ 100_0^15 - 5918337113956540643360833/32776811248105481249851168*c_1\ 100_0^14 - 88529132299221063835585341/262214489984843849998809344*c\ _1100_0^13 - 36593050209606905236368627/262214489984843849998809344\ *c_1100_0^12 + 421537309079777944221797171/262214489984843849998809\ 344*c_1100_0^11 + 776519639470750805162254187/262214489984843849998\ 809344*c_1100_0^10 - 165790560846791039357422595/262214489984843849\ 998809344*c_1100_0^9 - 5842966030139590102615677085/262214489984843\ 849998809344*c_1100_0^8 - 7852576128886968767350993/150352345174795\ 785549776*c_1100_0^7 - 10355491710500262800024801623/13110724499242\ 1924999404672*c_1100_0^6 - 15726951828566434562991998001/2622144899\ 84843849998809344*c_1100_0^5 - 2130659090611045753676353551/6555362\ 2496210962499702336*c_1100_0^4 + 611902523080521783596323141/262214\ 489984843849998809344*c_1100_0^3 - 566643537075287721686853195/131107244992421924999404672*c_1100_0^2 + 574454181121265655082396499/65553622496210962499702336*c_1100_0 - 80660968742393940387225025/32776811248105481249851168, c_0011_11 + 384564046943079806262513/524428979969687699997618688*c_1100\ _0^16 + 3240891578746177701470521/524428979969687699997618688*c_110\ 0_0^15 + 957051565513044202426847/32776811248105481249851168*c_1100\ _0^14 + 37365561576514895848892199/524428979969687699997618688*c_11\ 00_0^13 + 37818303071851290518290801/524428979969687699997618688*c_\ 1100_0^12 - 89573922658169058154639041/524428979969687699997618688*\ c_1100_0^11 - 319735573096240595920956985/5244289799696876999976186\ 88*c_1100_0^10 - 202383977421422301329196623/5244289799696876999976\ 18688*c_1100_0^9 + 1464631562012458165531300495/5244289799696876999\ 97618688*c_1100_0^8 + 5926198986100683309980071/6014093806991831421\ 99104*c_1100_0^7 + 4820033688506109360087829757/2622144899848438499\ 98809344*c_1100_0^6 + 11070814667317905543417432227/524428979969687\ 699997618688*c_1100_0^5 + 2124547530959347249694638771/131107244992\ 421924999404672*c_1100_0^4 + 3301810352143824369453062337/524428979\ 969687699997618688*c_1100_0^3 + 396877038439440562157827301/2622144\ 89984843849998809344*c_1100_0^2 - 139696722019602991388845449/13110\ 7244992421924999404672*c_1100_0 - 36255389827408994556145585/655536\ 22496210962499702336, c_0011_3 + 1833239689872309258928657/524428979969687699997618688*c_1100\ _0^16 + 13242867202183127340412321/524428979969687699997618688*c_11\ 00_0^15 + 7181665041923669327446913/65553622496210962499702336*c_11\ 00_0^14 + 110435294476848952158632375/524428979969687699997618688*c\ _1100_0^13 + 46656538713176334467857257/524428979969687699997618688\ *c_1100_0^12 - 512024180750062419991206889/524428979969687699997618\ 688*c_1100_0^11 - 999264470620300592657478961/524428979969687699997\ 618688*c_1100_0^10 + 183037708015399617180598169/524428979969687699\ 997618688*c_1100_0^9 + 7109052428653210239023074887/524428979969687\ 699997618688*c_1100_0^8 + 2452598927333083488446521/751761725873978\ 92774888*c_1100_0^7 + 12638896976479871056223680357/262214489984843\ 849998809344*c_1100_0^6 + 19023454883944562157270246003/52442897996\ 9687699997618688*c_1100_0^5 + 2126974745138359034869086753/13110724\ 4992421924999404672*c_1100_0^4 - 2050368677191508375185039183/52442\ 8979969687699997618688*c_1100_0^3 - 112575695035481645111571015/262214489984843849998809344*c_1100_0^2 - 661828854419713913842388865/131107244992421924999404672*c_1100_0 + 80927777688065372745905683/65553622496210962499702336, c_0011_5 + 680221462825805730996647/262214489984843849998809344*c_1100_\ 0^16 + 4908246523806624956738515/262214489984843849998809344*c_1100\ _0^15 + 5324468664463228226536851/65553622496210962499702336*c_1100\ _0^14 + 40944989557774297814705849/262214489984843849998809344*c_11\ 00_0^13 + 17692225150126137497820611/262214489984843849998809344*c_\ 1100_0^12 - 188527553599094289422899819/262214489984843849998809344\ *c_1100_0^11 - 367364002808930773750517819/262214489984843849998809\ 344*c_1100_0^10 + 65089184933684722356220763/2622144899848438499988\ 09344*c_1100_0^9 + 2622130138411533091443929461/2622144899848438499\ 98809344*c_1100_0^8 + 14472868969408388798865095/601409380699183142\ 199104*c_1100_0^7 + 4707812857547941821675283375/131107244992421924\ 999404672*c_1100_0^6 + 7229028781048491540521781181/262214489984843\ 849998809344*c_1100_0^5 + 112066246934934422870391327/8194202812026\ 370312462792*c_1100_0^4 - 453850087810902829207006241/2622144899848\ 43849998809344*c_1100_0^3 + 84228910273264205988757/131107244992421\ 924999404672*c_1100_0^2 - 339985453422407776410631339/6555362249621\ 0962499702336*c_1100_0 + 19198166774924289252620083/327768112481054\ 81249851168, c_0101_10 - 127996972160681970517549/524428979969687699997618688*c_1100\ _0^16 - 1357431742816904574483837/524428979969687699997618688*c_110\ 0_0^15 - 929476735600673734778517/65553622496210962499702336*c_1100\ _0^14 - 23853199283475278977158843/524428979969687699997618688*c_11\ 00_0^13 - 40732970213833232598871845/524428979969687699997618688*c_\ 1100_0^12 + 235938188196659178734693/524428979969687699997618688*c_\ 1100_0^11 + 182501362206654234209162381/524428979969687699997618688\ *c_1100_0^10 + 325568715546036385527265835/524428979969687699997618\ 688*c_1100_0^9 - 308384802918272922092165771/5244289799696876999976\ 18688*c_1100_0^8 - 106139118029233956210721/18794043146849473193722\ *c_1100_0^7 - 3610849372563982690957347729/262214489984843849998809\ 344*c_1100_0^6 - 10806737949318126019425042375/52442897996968769999\ 7618688*c_1100_0^5 - 2440920526445664336481034781/13110724499242192\ 4999404672*c_1100_0^4 - 5825902369871477624602320013/52442897996968\ 7699997618688*c_1100_0^3 - 792901057139582418934529141/262214489984\ 843849998809344*c_1100_0^2 - 122673595809216398001175731/1311072449\ 92421924999404672*c_1100_0 + 101308464862108803146137897/6555362249\ 6210962499702336, c_0101_2 + 230277969220182764689797/131107244992421924999404672*c_1100_\ 0^16 + 1708649091427309118371001/131107244992421924999404672*c_1100\ _0^15 + 1885499604065144928348093/32776811248105481249851168*c_1100\ _0^14 + 15227951690909095409982011/131107244992421924999404672*c_11\ 00_0^13 + 8131093023377426633088553/131107244992421924999404672*c_1\ 100_0^12 - 65051228807031833088267329/131107244992421924999404672*c\ _1100_0^11 - 141851613694675883420736913/13110724499242192499940467\ 2*c_1100_0^10 - 2050336286495250264444335/1311072449924219249994046\ 72*c_1100_0^9 + 916796928003180116721675103/13110724499242192499940\ 4672*c_1100_0^8 + 5418762343358637520164881/30070469034959157109955\ 2*c_1100_0^7 + 1787221952726715175971812589/65553622496210962499702\ 336*c_1100_0^6 + 2742211756548272253748455687/131107244992421924999\ 404672*c_1100_0^5 + 59387188657178132403556147/81942028120263703124\ 62792*c_1100_0^4 - 699910125219754886073641203/13110724499242192499\ 9404672*c_1100_0^3 - 147312652412455991361340089/655536224962109624\ 99702336*c_1100_0^2 - 84718729178797721658739537/327768112481054812\ 49851168*c_1100_0 + 15771824756408429157374337/16388405624052740624\ 925584, c_0101_4 + 148461239103557526772427/131107244992421924999404672*c_1100_\ 0^16 + 1078930367358659806830339/131107244992421924999404672*c_1100\ _0^15 + 37100973321542622302601/1024275351503296289057849*c_1100_0^\ 14 + 9368424008739953295594701/131107244992421924999404672*c_1100_0\ ^13 + 5018899049121667823884011/131107244992421924999404672*c_1100_\ 0^12 - 40905205230045014134197291/131107244992421924999404672*c_110\ 0_0^11 - 83622032558391997871741107/131107244992421924999404672*c_1\ 100_0^10 + 139947146294263182206171/131107244992421924999404672*c_1\ 100_0^9 + 576815882108251146895436677/131107244992421924999404672*c\ _1100_0^8 + 1631955816840148062159915/150352345174795785549776*c_11\ 00_0^7 + 1124890647415859197104198407/65553622496210962499702336*c_\ 1100_0^6 + 1756219594275040116537539857/131107244992421924999404672\ *c_1100_0^5 + 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