Magma V2.19-8 Wed Aug 21 2013 01:05:51 on localhost [Seed = 2480245539] Type ? for help. Type -D to quit. Loading file "L14n28737__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28737 geometric_solution 11.94921534 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 1023 1023 1 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 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 1.201472436102 1.045009712351 0 3 4 0 0132 0132 0132 1023 1 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 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 0.827259277156 0.654933996451 5 0 0 6 0132 0132 1023 0132 1 1 1 1 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 -1 0 1 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249751324199 0.417710159575 5 1 4 6 2310 0132 1302 2310 1 1 1 1 0 0 -1 1 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 -5 5 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638133448752 0.421357776943 3 7 8 1 2031 0132 0132 0132 1 1 1 1 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 5 0 -4 -1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538701117718 0.658961143547 2 5 3 5 0132 1302 3201 2031 1 1 1 1 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 1 0 -1 1 0 0 -1 0 1 0 -1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768058343943 1.096799390771 3 7 2 9 3201 3012 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 -5 5 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058886963121 1.141624605012 6 4 11 10 1230 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 1 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 -5 0 5 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.213289291754 0.696431827786 12 12 9 4 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 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 -4 0 0 4 0 -5 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260802866521 1.105855481517 11 11 6 8 1230 2031 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555203532246 0.592763882158 10 12 7 10 3012 1230 0132 1230 1 1 1 1 0 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 4 0 0 -4 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255885705715 0.708939415321 9 9 12 7 1302 3012 3012 0132 1 1 1 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 5 -5 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555203532246 0.592763882158 8 11 10 8 0132 1230 3012 2031 1 1 0 1 0 -1 0 1 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 -5 0 5 4 0 -4 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 0.417783938827 0.625014137524 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0011_6'], '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_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' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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'], 'c_1100_12' : negation(d['c_1001_10']), '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_12'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0101_9']})} 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_6, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 34213678403776861459156421746574808948385463/1146317061220204729096\ 7265102951126272*c_1100_0^16 + 257590109957489326704636286374813537\ 71551897/2865792653050511822741816275737781568*c_1100_0^15 - 4343947577425029508241410298399212716037443885/11463170612202047290\ 967265102951126272*c_1100_0^14 - 5362877277236855706135131931944855\ 2021196371983/11463170612202047290967265102951126272*c_1100_0^13 - 319353789870559890403888898123923107355056102755/114631706122020472\ 90967265102951126272*c_1100_0^12 - 1228126163082109646804717691783309718781591321383/11463170612202047\ 290967265102951126272*c_1100_0^11 - 49167786676558829589464399425200732387838896067/1685760384147359895\ 73048016219869504*c_1100_0^10 - 33100061219973243803013615312496729\ 18274564250269/5731585306101023645483632551475563136*c_1100_0^9 - 9517181242294070035126043370645151650931638168011/11463170612202047\ 290967265102951126272*c_1100_0^8 - 4920894071692822502804112699383482291307069021779/57315853061010236\ 45483632551475563136*c_1100_0^7 - 459658775065246930100602323647764\ 325089011001963/716448163262627955685454068934445392*c_1100_0^6 - 4170946918519559224312714639412330049542761772709/11463170612202047\ 290967265102951126272*c_1100_0^5 - 978963940472218805186474858485735097271872307461/573158530610102364\ 5483632551475563136*c_1100_0^4 - 7533746869727988776172779472095668\ 78575680592107/11463170612202047290967265102951126272*c_1100_0^3 - 212200837701442205954298229384185871291066057103/114631706122020472\ 90967265102951126272*c_1100_0^2 - 231388135850782156150162042734364\ 00880595099335/5731585306101023645483632551475563136*c_1100_0 - 2963455797634435847109477594776352684417089527/11463170612202047290\ 967265102951126272, c_0011_0 - 1, c_0011_10 - 2151253973173472485717/8581979794919886612304*c_1100_0^16 - 1682094836055080231881/4290989897459943306152*c_1100_0^15 + 278176687759369291660001/8581979794919886612304*c_1100_0^14 + 2968995425305327868374669/8581979794919886612304*c_1100_0^13 + 15759454299923239540448183/8581979794919886612304*c_1100_0^12 + 54242069699647156916595897/8581979794919886612304*c_1100_0^11 + 65558616097352700875590645/4290989897459943306152*c_1100_0^10 + 14081236439212514997451887/536373737182492913269*c_1100_0^9 + 271627694336863279410798591/8581979794919886612304*c_1100_0^8 + 114291476378670096637497269/4290989897459943306152*c_1100_0^7 + 35113848626286494142804629/2145494948729971653076*c_1100_0^6 + 70405214901307699830984739/8581979794919886612304*c_1100_0^5 + 7291673690761267794210687/2145494948729971653076*c_1100_0^4 + 8794718853927597085760955/8581979794919886612304*c_1100_0^3 + 2292678938361404108959889/8581979794919886612304*c_1100_0^2 + 42154803825841979043705/2145494948729971653076*c_1100_0 - 2181136489335406369389/8581979794919886612304, c_0011_11 - 12454223145703803677475/17163959589839773224608*c_1100_0^16 - 581815803332843029800/536373737182492913269*c_1100_0^15 + 1611152029941554085692249/17163959589839773224608*c_1100_0^14 + 17078481410777470542600419/17163959589839773224608*c_1100_0^13 + 90132553836889503926301035/17163959589839773224608*c_1100_0^12 + 308344275662946744759793631/17163959589839773224608*c_1100_0^11 + 184943311870344466965825411/4290989897459943306152*c_1100_0^10 + 628856817554064441248269163/8581979794919886612304*c_1100_0^9 + 1491331195145900003187970431/17163959589839773224608*c_1100_0^8 + 610761883541062926612172983/8581979794919886612304*c_1100_0^7 + 90234656117362342407329641/2145494948729971653076*c_1100_0^6 + 349386321624162945788979721/17163959589839773224608*c_1100_0^5 + 70786385972297739414679959/8581979794919886612304*c_1100_0^4 + 40007612068978106121329607/17163959589839773224608*c_1100_0^3 + 9402366883461436424359923/17163959589839773224608*c_1100_0^2 + 223214152638282314471581/8581979794919886612304*c_1100_0 - 24973585293579830972997/17163959589839773224608, c_0011_12 + 1, c_0011_4 - 9296056868610707268/536373737182492913269*c_1100_0^16 - 33195747961253502049/536373737182492913269*c_1100_0^15 + 1172027962203209850078/536373737182492913269*c_1100_0^14 + 15242393980141886433719/536373737182492913269*c_1100_0^13 + 93964176531034489863467/536373737182492913269*c_1100_0^12 + 372086923193105427908501/536373737182492913269*c_1100_0^11 + 1041461284364322281557717/536373737182492913269*c_1100_0^10 + 2122643789543668155393193/536373737182492913269*c_1100_0^9 + 3147237755750128224294247/536373737182492913269*c_1100_0^8 + 3356331132886046762719667/536373737182492913269*c_1100_0^7 + 2571146948175890759584204/536373737182492913269*c_1100_0^6 + 1471600310812526861784565/536373737182492913269*c_1100_0^5 + 685226157852170412788502/536373737182492913269*c_1100_0^4 + 260751286916927770815387/536373737182492913269*c_1100_0^3 + 72116519701898431649328/536373737182492913269*c_1100_0^2 + 15516629401694043747188/536373737182492913269*c_1100_0 + 145091401259493053368/536373737182492913269, c_0011_6 - 1582183539293971438773/17163959589839773224608*c_1100_0^16 - 1276236457707324836341/8581979794919886612304*c_1100_0^15 + 204341584375209153923733/17163959589839773224608*c_1100_0^14 + 2194155942601066555851297/17163959589839773224608*c_1100_0^13 + 11714529297135247021525011/17163959589839773224608*c_1100_0^12 + 40560189240088153266056969/17163959589839773224608*c_1100_0^11 + 49321026231524186751894071/8581979794919886612304*c_1100_0^10 + 42654462731353629919089473/4290989897459943306152*c_1100_0^9 + 206915502391976641391521959/17163959589839773224608*c_1100_0^8 + 86980363366105021848980701/8581979794919886612304*c_1100_0^7 + 26211030706924035746618293/4290989897459943306152*c_1100_0^6 + 51044859901956039316311083/17163959589839773224608*c_1100_0^5 + 5334851027102138401971703/4290989897459943306152*c_1100_0^4 + 6409016252133086534311551/17163959589839773224608*c_1100_0^3 + 1408512309545949362804173/17163959589839773224608*c_1100_0^2 + 24409869387950945079305/2145494948729971653076*c_1100_0 - 2107065847971702549749/17163959589839773224608, c_0101_0 - 26228207876733802602/536373737182492913269*c_1100_0^16 - 61752472622078312472/536373737182492913269*c_1100_0^15 + 3359539125006017740877/536373737182492913269*c_1100_0^14 + 38885862372162326983933/536373737182492913269*c_1100_0^13 + 220698516187631664490018/536373737182492913269*c_1100_0^12 + 811920763835952152893825/536373737182492913269*c_1100_0^11 + 2112354383218489404807490/536373737182492913269*c_1100_0^10 + 3974417424730100612876151/536373737182492913269*c_1100_0^9 + 5385506905280109363499912/536373737182492913269*c_1100_0^8 + 5222213439967565341920225/536373737182492913269*c_1100_0^7 + 3685003151534669935881518/536373737182492913269*c_1100_0^6 + 2018499978735908667051740/536373737182492913269*c_1100_0^5 + 917132667548022322173863/536373737182492913269*c_1100_0^4 + 328301782343305380390757/536373737182492913269*c_1100_0^3 + 88454885024435048301326/536373737182492913269*c_1100_0^2 + 17259968967559384481164/536373737182492913269*c_1100_0 + 118863193382759250766/536373737182492913269, c_0101_1 - 308965248300304434869/17163959589839773224608*c_1100_0^16 + 25764840040694322843/8581979794919886612304*c_1100_0^15 + 40888855654432581447125/17163959589839773224608*c_1100_0^14 + 357358076748372199114657/17163959589839773224608*c_1100_0^13 + 1512202124285897963192019/17163959589839773224608*c_1100_0^12 + 3743482143217677846661321/17163959589839773224608*c_1100_0^11 + 2360005473601511483154087/8581979794919886612304*c_1100_0^10 - 545058943691078283719903/4290989897459943306152*c_1100_0^9 - 21118626308133355384022361/17163959589839773224608*c_1100_0^8 - 20273159513719838493856547/8581979794919886612304*c_1100_0^7 - 10463946441000782833338411/4290989897459943306152*c_1100_0^6 - 27600718307067259275302741/17163959589839773224608*c_1100_0^5 - 3605650978376266454731977/4290989897459943306152*c_1100_0^4 - 6336154845256752489367137/17163959589839773224608*c_1100_0^3 - 1793422542521946670319827/17163959589839773224608*c_1100_0^2 - 65735139686395700834407/2145494948729971653076*c_1100_0 - 3815113616753057826805/17163959589839773224608, c_0101_5 - 9296056868610707268/536373737182492913269*c_1100_0^16 - 33195747961253502049/536373737182492913269*c_1100_0^15 + 1172027962203209850078/536373737182492913269*c_1100_0^14 + 15242393980141886433719/536373737182492913269*c_1100_0^13 + 93964176531034489863467/536373737182492913269*c_1100_0^12 + 372086923193105427908501/536373737182492913269*c_1100_0^11 + 1041461284364322281557717/536373737182492913269*c_1100_0^10 + 2122643789543668155393193/536373737182492913269*c_1100_0^9 + 3147237755750128224294247/536373737182492913269*c_1100_0^8 + 3356331132886046762719667/536373737182492913269*c_1100_0^7 + 2571146948175890759584204/536373737182492913269*c_1100_0^6 + 1471600310812526861784565/536373737182492913269*c_1100_0^5 + 685226157852170412788502/536373737182492913269*c_1100_0^4 + 260751286916927770815387/536373737182492913269*c_1100_0^3 + 72116519701898431649328/536373737182492913269*c_1100_0^2 + 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