/* 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^22 - 36*x^20 + 549*x^18 - 4638*x^16 + 23559*x^14 - 71010*x^12 + 102675*x^10 + 60498*x^8 - 550584*x^6 + 1014936*x^4 - 865080*x^2 + 291600, 22, 52, [12, 5], -14991670238235893467158492433970208044709284413571956658873493505022361600, [2, 3, 5, 7, 23, 137], [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, 1/2*a^15 - 1/2*a^11 - 1/2*a^7 - 1/2*a^3, 1/2*a^16 - 1/2*a^12 - 1/2*a^8 - 1/2*a^4, 1/2*a^17 - 1/2*a^13 - 1/2*a^9 - 1/2*a^5, 1/12*a^18 - 1/4*a^14 - 1/2*a^12 + 1/4*a^10 - 1/2*a^8 + 1/4*a^6 - 1/2*a^4, 1/36*a^19 - 1/4*a^15 + 1/6*a^13 - 1/12*a^11 - 1/2*a^9 - 5/12*a^7 - 1/2*a^5 - 1/2*a^3 - 1/3*a, 1/27000*a^20 + 53/1500*a^18 + 1/3000*a^16 + 178/1125*a^14 - 4387/9000*a^12 - 1/5*a^10 - 71/360*a^8 - 7/750*a^6 + 46/125*a^4 - 101/1125*a^2 + 2/25, 1/81000*a^21 + 53/4500*a^19 + 1501/9000*a^17 + 178/3375*a^15 + 113/27000*a^13 + 4/15*a^11 - 251/1080*a^9 - 757/2250*a^7 - 283/750*a^5 - 101/3375*a^3 - 23/75*a], 0, 1, [], 1, [ (6142481)/(13500)*a^(20) - (21316889)/(1500)*a^(18) + (269429981)/(1500)*a^(16) - (5304538181)/(4500)*a^(14) + (18732145603)/(4500)*a^(12) - (129119223)/(20)*a^(10) - (794039401)/(180)*a^(8) + (51741222907)/(1500)*a^(6) - (13345980621)/(250)*a^(4) + (37249337713)/(1125)*a^(2) - (155839601)/(25) , (508699009)/(2250)*a^(20) - (3940437967)/(500)*a^(18) + (28778578509)/(250)*a^(16) - (1375421999993)/(1500)*a^(14) + (1603937921821)/(375)*a^(12) - (223145951297)/(20)*a^(10) + (156440932808)/(15)*a^(8) + (12825350437871)/(500)*a^(6) - (23783492410939)/(250)*a^(4) + (45171892471489)/(375)*a^(2) - (1436887723909)/(25) , (14261483743)/(4500)*a^(20) - (82805469863)/(750)*a^(18) + (805835130743)/(500)*a^(16) - (4810907552617)/(375)*a^(14) + (89697134813459)/(1500)*a^(12) - (779231293368)/(5)*a^(10) + (8720378027287)/(60)*a^(8) + (44869596868674)/(125)*a^(6) - (166103760117182)/(125)*a^(4) + (630482772097664)/(375)*a^(2) - (20043955939559)/(25) , (15007510961)/(13500)*a^(20) - (17695527253)/(500)*a^(18) + (694350367211)/(1500)*a^(16) - (14522150642411)/(4500)*a^(14) + (57303016601593)/(4500)*a^(12) - (515433746613)/(20)*a^(10) + (1101112220609)/(180)*a^(8) + (142486538641717)/(1500)*a^(6) - (27649095181838)/(125)*a^(4) + (239873872396378)/(1125)*a^(2) - (1954288925231)/(25) , (12815171)/(180)*a^(20) - (11821661)/(5)*a^(18) + (649858701)/(20)*a^(16) - (7182327013)/(30)*a^(14) + (60316019233)/(60)*a^(12) - (4425559187)/(2)*a^(10) + (11645904337)/(12)*a^(8) + (73207789531)/(10)*a^(6) - (186519120023)/(10)*a^(4) + (281286862393)/(15)*a^(2) - 7052961517 , (865757900713)/(13500)*a^(20) - (789155773918)/(375)*a^(18) + (42693516859213)/(1500)*a^(16) - (462406467363719)/(2250)*a^(14) + (3784904171829569)/(4500)*a^(12) - (17822465496447)/(10)*a^(10) + (110507817895897)/(180)*a^(8) + (4639758325335643)/(750)*a^(6) - (1878787912972529)/(125)*a^(4) + (16599026341012349)/(1125)*a^(2) - (136661271400273)/(25) , (6120458971831)/(648)*a^(21) + (26765551768781)/(2700)*a^(20) - (12028059492425)/(36)*a^(19) - (109727831897639)/(300)*a^(18) + (354649963962859)/(72)*a^(17) + (1689470054646731)/(300)*a^(16) - (2115385527150661)/(54)*a^(15) - (42090770919433631)/(900)*a^(14) + (38663275665409151)/(216)*a^(13) + (200835175974500953)/(900)*a^(12) - (2639079071612075)/(6)*a^(11) - (2304806378666965)/(4)*a^(10) + (66529585824080803)/(216)*a^(9) + (16780520973191609)/(36)*a^(8) + (11228823948584269)/(9)*a^(7) + (456835536562612957)/(300)*a^(6) - (22214878125375319)/(6)*a^(5) - (121236210171370223)/(25)*a^(4) + (216929821507202327)/(54)*a^(3) + (1218886036763363263)/(225)*a^(2) - 1598441806654513*a - (10981502974739311)/(5) , (2648631661989748399)/(40500)*a^(21) - (180058454738034551)/(1350)*a^(20) - (2342618853673355114)/(1125)*a^(19) + (1274045420945058763)/(300)*a^(18) + (122591673819531429649)/(4500)*a^(17) - (8334046198357255901)/(150)*a^(16) - (641269600769416384831)/(3375)*a^(15) + (348760716697622887177)/(900)*a^(14) + (10130553575257394867837)/(13500)*a^(13) - (344352056461968738719)/(225)*a^(12) - (22839788813302247113)/(15)*a^(11) + (12421839797382548195)/(4)*a^(10) + (205904784171401118541)/(540)*a^(9) - (6999893804489208160)/(9)*a^(8) + (6235654215334346748332)/(1125)*a^(7) - (3391321248354355528919)/(300)*a^(6) - (9714438733342021482959)/(750)*a^(5) + (1320843538917717053857)/(50)*a^(4) + (84367796442223688104429)/(6750)*a^(3) - (5735694320198082121121)/(225)*a^(2) - (343839087357281294104)/(75)*a + (46752169078538057227)/(5) , (2648631661989748399)/(40500)*a^(21) + (180058454738034551)/(1350)*a^(20) - (2342618853673355114)/(1125)*a^(19) - (1274045420945058763)/(300)*a^(18) + (122591673819531429649)/(4500)*a^(17) + (8334046198357255901)/(150)*a^(16) - (641269600769416384831)/(3375)*a^(15) - (348760716697622887177)/(900)*a^(14) + (10130553575257394867837)/(13500)*a^(13) + (344352056461968738719)/(225)*a^(12) - (22839788813302247113)/(15)*a^(11) - (12421839797382548195)/(4)*a^(10) + (205904784171401118541)/(540)*a^(9) + (6999893804489208160)/(9)*a^(8) + (6235654215334346748332)/(1125)*a^(7) + (3391321248354355528919)/(300)*a^(6) - (9714438733342021482959)/(750)*a^(5) - (1320843538917717053857)/(50)*a^(4) + (84367796442223688104429)/(6750)*a^(3) + (5735694320198082121121)/(225)*a^(2) - (343839087357281294104)/(75)*a - (46752169078538057227)/(5) , (6120458971831)/(648)*a^(21) - (26765551768781)/(2700)*a^(20) - (12028059492425)/(36)*a^(19) + (109727831897639)/(300)*a^(18) + (354649963962859)/(72)*a^(17) - (1689470054646731)/(300)*a^(16) - (2115385527150661)/(54)*a^(15) + (42090770919433631)/(900)*a^(14) + (38663275665409151)/(216)*a^(13) - (200835175974500953)/(900)*a^(12) - (2639079071612075)/(6)*a^(11) + (2304806378666965)/(4)*a^(10) + (66529585824080803)/(216)*a^(9) - (16780520973191609)/(36)*a^(8) + (11228823948584269)/(9)*a^(7) - (456835536562612957)/(300)*a^(6) - (22214878125375319)/(6)*a^(5) + (121236210171370223)/(25)*a^(4) + (216929821507202327)/(54)*a^(3) - (1218886036763363263)/(225)*a^(2) - 1598441806654513*a + (10981502974739311)/(5) , (152616566438793149243)/(40500)*a^(21) + (3721122053715535003)/(675)*a^(20) - (191391553367882432039)/(1500)*a^(19) - (55998480845073535753)/(300)*a^(18) + (8080782750837693181493)/(4500)*a^(17) + (394053920390908460081)/(150)*a^(16) - (184062617675418925640843)/(13500)*a^(15) - (17951378447805219150787)/(900)*a^(14) + (804573774650834052640459)/(13500)*a^(13) + (19617247772699349298289)/(225)*a^(12) - (2800762487148257498503)/(20)*a^(11) - (819463682338690466489)/(4)*a^(10) + (47091671275528321512467)/(540)*a^(9) + (1148196421515590016652)/(9)*a^(8) + (1865753769566490038455321)/(4500)*a^(7) + (181964447487207199220189)/(300)*a^(6) - (445287712875069467533394)/(375)*a^(5) - (43428305464533748634146)/(25)*a^(4) + (8662216263348008718443453)/(6750)*a^(3) + (422407064632832632918676)/(225)*a^(2) - (38507791953565510594453)/(75)*a - (3755612204362907685407)/(5) , (69413704418305661)/(40500)*a^(21) + (5242720303340981)/(1500)*a^(20) - (27286757036647951)/(500)*a^(19) - (55645128580550167)/(500)*a^(18) + (3212955812827206161)/(4500)*a^(17) + (728010202158780193)/(500)*a^(16) - (67229088217730388611)/(13500)*a^(15) - (5077719140042941681)/(500)*a^(14) + (265524815148260612443)/(13500)*a^(13) + (20054718293514601353)/(500)*a^(12) - (798225981668898691)/(20)*a^(11) - (1627800098528381287)/(20)*a^(10) + (5400116333709636299)/(540)*a^(9) + (407863203320629369)/(20)*a^(8) + (653741325316688734117)/(4500)*a^(7) + (148128506879688508221)/(500)*a^(6) - (254630589805115916751)/(750)*a^(5) - (86543516410557481607)/(125)*a^(4) + (1105755875774986730353)/(3375)*a^(3) + (83516195348853401213)/(125)*a^(2) - (9013398326353667281)/(75)*a - (6126924347669797709)/(25) , (559242449181349)/(900)*a^(21) - (244400286076463)/(270)*a^(20) - (9472838957479427)/(450)*a^(19) + (460049860751011)/(15)*a^(18) + (29644439824760249)/(100)*a^(17) - (12959526655866983)/(30)*a^(16) - (168928566311458906)/(75)*a^(15) + (147730999936911874)/(45)*a^(14) + (985378119572963079)/(100)*a^(13) - (1292928372217015039)/(90)*a^(12) - (69538999186442138)/(3)*a^(11) + 33805999312630302*a^(10) + (173980326478041169)/(12)*a^(9) - (381164113764451171)/(18)*a^(8) + (5138491552425229571)/(75)*a^(7) - (1497980542893136178)/(15)*a^(6) - (4913799379039728101)/(25)*a^(5) + (1433309697528795658)/(5)*a^(4) + (15944366508656498102)/(75)*a^(3) - (13956564800691429338)/(45)*a^(2) - (1276566276121055596)/(15)*a + 124183740117423955 , (1500179280245798)/(10125)*a^(21) - (561445604139212)/(675)*a^(20) - (3473388370925983)/(750)*a^(19) + (3582445929191281)/(150)*a^(18) + (65529841535657423)/(1125)*a^(17) - (21312692936794487)/(75)*a^(16) - (2619558003875920171)/(6750)*a^(15) + (818348723226582349)/(450)*a^(14) + (4920781981978683799)/(3375)*a^(13) - (1486979036830873831)/(225)*a^(12) - (27657859848272381)/(10)*a^(11) + (24129204587907485)/(2)*a^(10) + (33729576464458292)/(135)*a^(9) - (279908312630948)/(9)*a^(8) + (24477606532139158937)/(2250)*a^(7) - (7431383386552774403)/(150)*a^(6) - (8937467106105227711)/(375)*a^(5) + (2635521573248382959)/(25)*a^(4) + (74979567090147600091)/(3375)*a^(3) - (21789906830800262854)/(225)*a^(2) - (596316587973682282)/(75)*a + (171619512671888063)/(5) , (60791469610857988829611273)/(500)*a^(21) + (97367963032393933188215519)/(300)*a^(20) - (1358036909601408325388838356)/(375)*a^(19) - (1507996338674450336118948887)/(150)*a^(18) + (21449823955772715034059763957)/(500)*a^(17) + (12611433110976952034023042257)/(100)*a^(16) - (64230420213206513991714316747)/(250)*a^(15) - (20623952797075066307358402536)/(25)*a^(14) + (391615421861641215943060090547)/(500)*a^(13) + (294136269421370799368205865147)/(100)*a^(12) - (8038281347460028446669859879)/(10)*a^(11) - 4845263685309299134637516673*a^(10) - (38281327307276576940309777269)/(20)*a^(9) - (7531265268165149394761821605)/(4)*a^(8) + (1674891360974465064454030474977)/(250)*a^(7) + (578901911831772826269958143401)/(25)*a^(6) - (868285583849942546947766958743)/(125)*a^(5) - (1028326137483945030813476795868)/(25)*a^(4) + (193766752978756124641416764312)/(125)*a^(3) + (795933214244627316015448552212)/(25)*a^(2) + (23284574204961729039046094184)/(25)*a - (46772186089921962372209475671)/(5) , (14641731476143404719)/(40500)*a^(21) + (5994157478732280511)/(6750)*a^(20) - (16211943493738876637)/(1500)*a^(19) - (39668479703949131543)/(1500)*a^(18) + (598086966811069550969)/(4500)*a^(17) + (242742608345414530261)/(750)*a^(16) - (11834498907385585040519)/(13500)*a^(15) - (9551264597755165857797)/(4500)*a^(14) + (44397043824601164432247)/(13500)*a^(13) + (8892793661224696224934)/(1125)*a^(12) - (125761908431554231499)/(20)*a^(11) - (298711672910870669351)/(20)*a^(10) + (415566467192009162651)/(540)*a^(9) + (60666117298326397772)/(45)*a^(8) + (109825328335819536844993)/(4500)*a^(7) + (88276909124156275432759)/(1500)*a^(6) - (20416569381241516571477)/(375)*a^(5) - (32372064208746421116827)/(250)*a^(4) + (173849113369575986174512)/(3375)*a^(3) + (136594512424118506166431)/(1125)*a^(2) - (1402151095052994818749)/(75)*a - (1093519080547041578587)/(25) ], 1693786329280000000000000000000, [[x^11 - 3*x^10 - 36*x^9 + 60*x^8 + 213*x^7 - 9*x^6 - 114*x^5 - 180*x^4 - 108*x^3 + 6*x^2 + 36*x + 54, 1]]]