Magma V2.19-8 Tue Aug 20 2013 17:57:12 on localhost [Seed = 2463311509] Type ? for help. Type -D to quit. Loading file "8_17__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_17 geometric_solution 10.98590761 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 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 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 0 0 0 0 0 0 0.243143251027 0.655755772239 0 5 6 3 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 0.072669155978 0.997356101786 5 0 4 7 0132 0132 2103 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 1 -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 -0.122269255555 1.113049564793 8 6 1 0 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 0 1 -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 0 0 0 0.047698751969 1.359087879065 2 7 0 6 2103 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 1 0 -1 0 1 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 0.875270295598 0.698377415288 2 1 9 10 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 1 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 -0.399727112970 1.212751468669 10 3 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196265638279 0.918229464313 11 4 2 11 0132 0132 0132 2031 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 1 0 -1 -1 0 1 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.907947448292 3 10 9 9 0132 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124729704402 0.698377415288 8 8 11 5 2031 0321 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 1 -1 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 0.124729704402 0.698377415288 6 8 5 11 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.452531808319 1.006867414553 7 7 9 10 0132 1302 1023 1023 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 1 0 -1 0 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534610361386 0.845098669682 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0101_5'], '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_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : 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_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_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : negation(d['c_1100_10']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(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' : 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_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} 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_9, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_1001_0, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4588244168028165186112180012982/4625420280734883146659511393*c_1100\ _10^17 - 44670561205269129583984061803110/4625420280734883146659511\ 393*c_1100_10^16 + 112101129878312573687706877006599/46254202807348\ 83146659511393*c_1100_10^15 + 10630209603781746633420714906699/4625\ 420280734883146659511393*c_1100_10^14 + 681962653928662301006757365874068/4625420280734883146659511393*c_11\ 00_10^13 - 6528025935976499366408872342847645/462542028073488314665\ 9511393*c_1100_10^12 + 17355683009715141017867618887638352/46254202\ 80734883146659511393*c_1100_10^11 - 23700537436893600487080687091465764/4625420280734883146659511393*c_\ 1100_10^10 + 27471043953690081037229344520748773/462542028073488314\ 6659511393*c_1100_10^9 - 28462048344423614650571331035669450/462542\ 0280734883146659511393*c_1100_10^8 + 19265272080186607476477590504205262/4625420280734883146659511393*c_\ 1100_10^7 - 4920015490406824361681506179951447/46254202807348831466\ 59511393*c_1100_10^6 - 1827690202275286602240683883787294/462542028\ 0734883146659511393*c_1100_10^5 + 191784559038619259758636698527506\ 5/4625420280734883146659511393*c_1100_10^4 - 642933649821061302044797878744687/4625420280734883146659511393*c_11\ 00_10^3 + 61596136853825434321227691376845/462542028073488314665951\ 1393*c_1100_10^2 + 12563222445631504598562187627912/462542028073488\ 3146659511393*c_1100_10 - 3287680848067529726904438462553/462542028\ 0734883146659511393, c_0011_0 - 1, c_0011_10 + 1848466587007975045301412076/4625420280734883146659511393*c\ _1100_10^17 - 18912759551518070798126050484/46254202807348831466595\ 11393*c_1100_10^16 + 53837211416566148889199114444/4625420280734883\ 146659511393*c_1100_10^15 - 15558431762853113235493956344/462542028\ 0734883146659511393*c_1100_10^14 + 265177287322810856563115974526/4625420280734883146659511393*c_1100_\ 10^13 - 2763394760623894518620258068268/462542028073488314665951139\ 3*c_1100_10^12 + 8260619802889322575095020259831/462542028073488314\ 6659511393*c_1100_10^11 - 12642238696271013492550085865104/46254202\ 80734883146659511393*c_1100_10^10 + 14660216606484055942279641581190/4625420280734883146659511393*c_110\ 0_10^9 - 15164927085828422891658097834006/4625420280734883146659511\ 393*c_1100_10^8 + 11358760561910273034929455528846/4625420280734883\ 146659511393*c_1100_10^7 - 3651747014649985251851913575066/46254202\ 80734883146659511393*c_1100_10^6 - 1443214139832120492099962944396/4625420280734883146659511393*c_1100\ _10^5 + 1725887698307399177103698636032/462542028073488314665951139\ 3*c_1100_10^4 - 468899799896887153824755085486/46254202807348831466\ 59511393*c_1100_10^3 - 89699793236910716799837436433/46254202807348\ 83146659511393*c_1100_10^2 + 82553421153182692734747831002/46254202\ 80734883146659511393*c_1100_10 - 16969577649876498991223770909/4625\ 420280734883146659511393, c_0011_11 + 961332963630590711771585087/4625420280734883146659511393*c_\ 1100_10^17 - 10208760636190950779025519619/462542028073488314665951\ 1393*c_1100_10^16 + 31582613307352679791206860147/46254202807348831\ 46659511393*c_1100_10^15 - 16740522939145701417083376392/4625420280\ 734883146659511393*c_1100_10^14 + 135778846228518564841154856225/46\ 25420280734883146659511393*c_1100_10^13 - 1492084439832591230866923270604/4625420280734883146659511393*c_1100\ _10^12 + 4819040817488430844870964864731/46254202807348831466595113\ 93*c_1100_10^11 - 7918411833699408435811740903594/46254202807348831\ 46659511393*c_1100_10^10 + 9354741465893603053229932863646/46254202\ 80734883146659511393*c_1100_10^9 - 9792353843508877960586182343625/4625420280734883146659511393*c_1100\ _10^8 + 7783366496337739693686031708735/462542028073488314665951139\ 3*c_1100_10^7 - 3005926037081399022914848077182/4625420280734883146\ 659511393*c_1100_10^6 - 726982868938996568806366514902/462542028073\ 4883146659511393*c_1100_10^5 + 1255900623362008053766297080109/4625\ 420280734883146659511393*c_1100_10^4 - 431477477847016970309919456358/4625420280734883146659511393*c_1100_\ 10^3 - 42201905596677156574604232872/4625420280734883146659511393*c\ _1100_10^2 + 65145471148820306405375169232/462542028073488314665951\ 1393*c_1100_10 - 15755322197975189152906353427/46254202807348831466\ 59511393, c_0011_9 + 618640798507429972048492636/4625420280734883146659511393*c_1\ 100_10^17 - 6561771114442498380670171714/46254202807348831466595113\ 93*c_1100_10^16 + 20440117343550804522344971350/4625420280734883146\ 659511393*c_1100_10^15 - 12349309954153094167979085294/462542028073\ 4883146659511393*c_1100_10^14 + 91120742103360926043267914442/46254\ 20280734883146659511393*c_1100_10^13 - 956362547654003686933549803146/4625420280734883146659511393*c_1100_\ 10^12 + 3119467651181951467070128308764/462542028073488314665951139\ 3*c_1100_10^11 - 5323956458065237956399614910386/462542028073488314\ 6659511393*c_1100_10^10 + 6564960573898057835721385918896/462542028\ 0734883146659511393*c_1100_10^9 - 6900079869696750389729553843406/4\ 625420280734883146659511393*c_1100_10^8 + 5682073053278111359207813248336/4625420280734883146659511393*c_1100\ _10^7 - 2608190557593230736865508505532/462542028073488314665951139\ 3*c_1100_10^6 - 155292315903880872532325146725/46254202807348831466\ 59511393*c_1100_10^5 + 872822831889687852735859319722/4625420280734\ 883146659511393*c_1100_10^4 - 367949383816746957662510392930/462542\ 0280734883146659511393*c_1100_10^3 - 9673544178367394997582567432/4625420280734883146659511393*c_1100_10\ ^2 + 50700479367134074204900749602/4625420280734883146659511393*c_1\ 100_10 - 12924588084612661149607609752/4625420280734883146659511393\ , c_0101_1 + 1684107784973704216561610958/4625420280734883146659511393*c_\ 1100_10^17 - 16798113223289165237120251693/462542028073488314665951\ 1393*c_1100_10^16 + 44997216048286197586862473420/46254202807348831\ 46659511393*c_1100_10^15 - 5125186044578479341254440587/46254202807\ 34883146659511393*c_1100_10^14 + 246088686862418694393563089849/462\ 5420280734883146659511393*c_1100_10^13 - 2451975721636237265422174404929/4625420280734883146659511393*c_1100\ _10^12 + 6935025937365586733849241523437/46254202807348831466595113\ 93*c_1100_10^11 - 10103054308178165983431799254013/4625420280734883\ 146659511393*c_1100_10^10 + 11664645123952593175954684972859/462542\ 0280734883146659511393*c_1100_10^9 - 11909595575195486403866760906534/4625420280734883146659511393*c_110\ 0_10^8 + 8465258946317629797066319293854/46254202807348831466595113\ 93*c_1100_10^7 - 2315009197013403425078202938069/462542028073488314\ 6659511393*c_1100_10^6 - 1286433593951897567395874209446/4625420280\ 734883146659511393*c_1100_10^5 + 1321159667354187163786849943789/46\ 25420280734883146659511393*c_1100_10^4 - 308036215960755349959885459308/4625420280734883146659511393*c_1100_\ 10^3 - 87496110592522947426658124904/4625420280734883146659511393*c\ _1100_10^2 + 64108372752289234322437484702/462542028073488314665951\ 1393*c_1100_10 - 10414454780385076832851321565/46254202807348831466\ 59511393, c_0101_11 - 303554320702830646399915831/4625420280734883146659511393*c_\ 1100_10^17 + 2654778648846099621863996081/4625420280734883146659511\ 393*c_1100_10^16 - 4472565219725735816155116200/4625420280734883146\ 659511393*c_1100_10^15 - 8209800014963711643447814128/4625420280734\ 883146659511393*c_1100_10^14 - 45509871041318032958385190719/462542\ 0280734883146659511393*c_1100_10^13 + 387869103630664907634964384125/4625420280734883146659511393*c_1100_\ 10^12 - 718777039085344781361058940159/4625420280734883146659511393\ *c_1100_10^11 + 406381303600905247422189373321/46254202807348831466\ 59511393*c_1100_10^10 - 217163461638098486319803746028/462542028073\ 4883146659511393*c_1100_10^9 + 84580500614727431010383385425/462542\ 0280734883146659511393*c_1100_10^8 + 525021234799575161247785127468/4625420280734883146659511393*c_1100_\ 10^7 - 871128470952792322267905403055/4625420280734883146659511393*\ c_1100_10^6 + 319571714757098074466793377913/4625420280734883146659\ 511393*c_1100_10^5 + 147056746186889721483842702147/462542028073488\ 3146659511393*c_1100_10^4 - 144036230813006818100306321045/46254202\ 80734883146659511393*c_1100_10^3 + 11688018444297364217598814308/4625420280734883146659511393*c_1100_1\ 0^2 + 9329657677795874393066938266/4625420280734883146659511393*c_1\ 100_10 - 3916385776077832241825929491/4625420280734883146659511393, c_0101_5 + 402717559984477621582178086/4625420280734883146659511393*c_1\ 100_10^17 - 4511494974843965895124487958/46254202807348831466595113\ 93*c_1100_10^16 + 15402202994047130649464767769/4625420280734883146\ 659511393*c_1100_10^15 - 11644001815474915656365254459/462542028073\ 4883146659511393*c_1100_10^14 + 53632356730355309930073792966/46254\ 20280734883146659511393*c_1100_10^13 - 660410577097295413688601936493/4625420280734883146659511393*c_1100_\ 10^12 + 2335561665464665498361245118440/462542028073488314665951139\ 3*c_1100_10^11 - 4044044196074301446163013149785/462542028073488314\ 6659511393*c_1100_10^10 + 4712586911936112985419907076176/462542028\ 0734883146659511393*c_1100_10^9 - 4942289350221170209452275711782/4\ 625420280734883146659511393*c_1100_10^8 + 4051544689190474447341200223325/4625420280734883146659511393*c_1100\ _10^7 - 1565513481600666463936462953169/462542028073488314665951139\ 3*c_1100_10^6 - 503976306978836776755744741718/46254202807348831466\ 59511393*c_1100_10^5 + 739493749351414141688447999810/4625420280734\ 883146659511393*c_1100_10^4 - 234275667264868611331121843624/462542\ 0280734883146659511393*c_1100_10^3 - 38290279376875924970857485736/4625420280734883146659511393*c_1100_1\ 0^2 + 38571271196867256633320019811/4625420280734883146659511393*c_\ 1100_10 - 7862300014727805382124577088/4625420280734883146659511393\ , c_0101_6 + 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