/* Data is in the following format
   Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0.
[polynomial,
degree,
t-number of Galois group,
signature [r,s],
discriminant,
list of ramifying primes,
integral basis as polynomials in a,
1 if it is a cm field otherwise 0,
class number,
class group structure,
1 if grh was assumed and 0 if not,
fundamental units,
regulator,
list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial]
]
*/

[x^28 - 9*x^27 + 53*x^26 - 226*x^25 + 695*x^24 - 1455*x^23 + 1352*x^22 + 4587*x^21 - 26437*x^20 + 75511*x^19 - 148243*x^18 + 166438*x^17 - 8850*x^16 - 553583*x^15 + 1599191*x^14 - 2514414*x^13 + 2904360*x^12 - 819447*x^11 - 1193138*x^10 + 5517125*x^9 - 17624126*x^8 + 7384001*x^7 - 17552991*x^6 + 11860646*x^5 - 8713168*x^4 - 7406098*x^3 - 9688274*x^2 - 1853761*x - 465059, 28, 10, [2, 13], -2657211910834657108824251865653514862060546875, [3, 5, 71], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, 1/7*a^18 - 1/7*a^17 - 3/7*a^14 + 1/7*a^13 + 1/7*a^12 + 2/7*a^10 + 2/7*a^9 + 2/7*a^7 - 2/7*a^6 - 2/7*a^4 + 1/7*a^3 + 2/7*a^2 + 1/7*a, 1/7*a^19 - 1/7*a^17 - 3/7*a^15 - 2/7*a^14 + 2/7*a^13 + 1/7*a^12 + 2/7*a^11 - 3/7*a^10 + 2/7*a^9 + 2/7*a^8 - 2/7*a^6 - 2/7*a^5 - 1/7*a^4 + 3/7*a^3 + 3/7*a^2 + 1/7*a, 1/7*a^20 - 1/7*a^17 - 3/7*a^16 - 2/7*a^15 - 1/7*a^14 + 2/7*a^13 + 3/7*a^12 - 3/7*a^11 - 3/7*a^10 - 3/7*a^9 + 3/7*a^6 - 1/7*a^5 + 1/7*a^4 - 3/7*a^3 + 3/7*a^2 + 1/7*a, 1/7*a^21 + 3/7*a^17 - 2/7*a^16 - 1/7*a^15 - 1/7*a^14 - 3/7*a^13 - 2/7*a^12 - 3/7*a^11 - 1/7*a^10 + 2/7*a^9 - 2/7*a^7 - 3/7*a^6 + 1/7*a^5 + 2/7*a^4 - 3/7*a^3 + 3/7*a^2 + 1/7*a, 1/7*a^22 + 1/7*a^17 - 1/7*a^16 - 1/7*a^15 - 1/7*a^14 + 2/7*a^13 + 1/7*a^12 - 1/7*a^11 + 3/7*a^10 + 1/7*a^9 - 2/7*a^8 - 2/7*a^7 + 2/7*a^5 + 3/7*a^4 + 2/7*a^2 - 3/7*a, 1/91*a^23 + 2/91*a^21 - 4/91*a^20 + 4/91*a^19 - 6/91*a^18 - 9/91*a^17 - 5/13*a^16 + 5/13*a^15 - 32/91*a^14 + 2/91*a^13 - 34/91*a^12 + 17/91*a^11 + 1/7*a^10 + 22/91*a^9 + 27/91*a^8 - 18/91*a^7 + 25/91*a^6 - 27/91*a^5 - 3/7*a^4 + 20/91*a^3 - 4/91*a^2 - 5/91*a - 4/13, 1/71071*a^24 - 290/71071*a^23 - 334/10153*a^22 - 584/71071*a^21 + 1944/71071*a^20 - 106/6461*a^19 + 2004/71071*a^18 + 32397/71071*a^17 + 4523/10153*a^16 - 27875/71071*a^15 - 1217/5467*a^14 + 18561/71071*a^13 - 4491/10153*a^12 - 33673/71071*a^11 - 3098/71071*a^10 + 32920/71071*a^9 + 12484/71071*a^8 - 18012/71071*a^7 + 11716/71071*a^6 - 4152/10153*a^5 - 17660/71071*a^4 + 3123/6461*a^3 - 1390/6461*a^2 - 29908/71071*a - 4157/10153, 1/71071*a^25 + 23/6461*a^23 + 1647/71071*a^22 - 4187/71071*a^21 + 2617/71071*a^20 + 475/71071*a^19 + 2034/71071*a^18 + 1502/6461*a^17 - 166/923*a^16 - 19345/71071*a^15 + 27437/71071*a^14 - 18903/71071*a^13 + 14632/71071*a^12 - 9673/71071*a^11 + 27964/71071*a^10 - 16557/71071*a^9 + 13653/71071*a^8 + 20155/71071*a^7 + 12619/71071*a^6 - 34850/71071*a^5 - 394/71071*a^4 + 450/6461*a^3 + 250/10153*a^2 + 1089/6461*a + 1115/10153, 1/600478879*a^26 + 809/600478879*a^25 + 729/600478879*a^24 + 869590/600478879*a^23 + 4438996/600478879*a^22 - 957137/85782697*a^21 - 32895524/600478879*a^20 - 3422414/54588989*a^19 + 284860/4199153*a^18 + 154790400/600478879*a^17 + 8899335/85782697*a^16 - 14399713/600478879*a^15 + 20378690/46190683*a^14 + 198118223/600478879*a^13 + 12620827/54588989*a^12 + 297909452/600478879*a^11 - 10554207/54588989*a^10 - 144489837/600478879*a^9 + 108597248/600478879*a^8 - 71089838/600478879*a^7 + 85248803/600478879*a^6 - 150015035/600478879*a^5 - 13562937/600478879*a^4 - 97919436/600478879*a^3 - 282181388/600478879*a^2 + 3041856/12254671*a - 5485143/12254671, 1/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^27 + 5373516622068571055929704525672100813052722904985247559325109034184826223866230361/10076418005841588225514215404121412397980476238418168302744297014465193518899319125114737961*a^26 - 41675264298300723126351995801154911165215538018039228165635457533827730088301061568109/6412266003717374325327227984440898798714848515357016192655461736477850421117748534163924157*a^25 - 308389066239012866985533396861931141137039437944769993408938449136351160824357790427709/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^24 - 364818860050851310258263202939790958103376111472159216105470445354351112374313129881890309/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^23 + 3300934317694941333913983097591828013229571626532499290880512398727494484119550647437/276274939742706300957668641395848475701266842150537110691089860839132317689273047256061*a^22 - 288370274361647183293331521770737030373030479663082805955498815657354218926159008245557103/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^21 - 3441801167736393350398766049085469273840873923318041334054544319842514375601917965575159955/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^20 + 938786291353049276244517432517107644155269133327906112798552289031546608292549815478858060/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^19 - 68206560617633500298716144198769426385679363866834994748976554821022285920857960145351540/5425763541607009044507654448373068214297179512994398316862313777019719587099633375061781979*a^18 - 3941815836030607801280433910879583816261018385628394912799278144174399083736874199497558526/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^17 - 19858306208923117779142996380301153568554220302922495041752107483156450387594406268869448911/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^16 - 5384611587022614279034899425262731786669926281009007670855186581026062137720249372787430/67626966482158310238350438953834982536781719720927304045263738352115392744290732383320389*a^15 + 23926127355456043008374986057650657161939001509891182228758520281156374230022363567954202/110729868196061409071584784660674861516268969652946904425761505653463665042849660715546571*a^14 - 1915866363005282480757144143279135794045055920223022345051867662077754315120495309135946644/10076418005841588225514215404121412397980476238418168302744297014465193518899319125114737961*a^13 - 2353330059833690361820610082990045479707994373068532077243140935325599620732146588725567327/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^12 + 163321643684216905704735043282882350764793998306358044446787238762119015139136317252091038/775109077372429863501093492624724030613882787570628330980330539574245655299947625008825997*a^11 + 22297954384159468271900868040586871273755768537347848138733520047564777473947942756920392495/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^10 - 11986192321875868595470260661629070327254094139541121445092954701458631022578139558985712/24230479574335663888216938450309133213968853888329501243287557231623618904945116412161857*a^9 + 13447654363053856525136966257031034128422099152769191517613998886538412685632320636963950992/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^8 - 1017304675347541427369219533602392758504243251922854492594892168874315350631199457315015198/10076418005841588225514215404121412397980476238418168302744297014465193518899319125114737961*a^7 - 2823724326636737523779776254814318497717064707413271225224097841871969456413257669998305994/10076418005841588225514215404121412397980476238418168302744297014465193518899319125114737961*a^6 - 2939971536585818985352564773023687308110662184416593352242612342711314841794690841953915322/6412266003717374325327227984440898798714848515357016192655461736477850421117748534163924157*a^5 + 3905735719275329432825239965021075541576497439002075670839398749643079794139814976981177891/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^4 - 17691472126040151849560752464878030700807447365816106472900771802666544646489613046720439044/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^3 - 12064724067120814243174164766066458687634638168107005420689340684129121983929463120841247910/70534926040891117578599507828849886785863333668927178119210079101256354632295233875803165727*a^2 + 78606142670275890289344875638738522726005125733788402679302932514179128973396177757174207/592730470931858130912600906124788964587086837554009900161429236145011383464665830889102233*a - 254798805366025695765878704850954490551732481011170407777308503175365953558741626288271217/1439488286548798317930602200588773199711496605488309757534899573495027645557045589302105423], 0, 0,0,0,0,0, [[x^2 - x - 1, 1], [x^4 - x^3 - 4*x^2 + 34*x - 209, 1], [x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1, 1], [x^14 - x^13 - 4*x^12 + 3*x^11 - 3*x^10 - 16*x^9 + 31*x^8 + 56*x^7 + 8*x^6 - 18*x^5 - 14*x^4 - 2*x^3 + 7*x^2 + 2*x - 1, 1]]]