/* 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^20 - 6*x^19 + 13*x^18 - 6*x^17 - 20*x^16 + 26*x^15 + 21*x^14 - 44*x^13 - 40*x^12 + 110*x^11 - 45*x^10 - 8*x^9 - 19*x^8 + 54*x^7 + 7*x^6 - 14*x^5 + 3*x^4 + 2*x^3 + 3*x^2 - 1, 20, 992, [2, 9], -275524109311254364946432, [2, 47, 8647], [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, a^18, 1/43802674146412637*a^19 + 11134506999912862/43802674146412637*a^18 + 12781753906682093/43802674146412637*a^17 + 12395446966778087/43802674146412637*a^16 + 7298110067180959/43802674146412637*a^15 - 13341090195497634/43802674146412637*a^14 - 2293788359307324/43802674146412637*a^13 + 19223151354021309/43802674146412637*a^12 + 1298007891353247/43802674146412637*a^11 + 12898525449275487/43802674146412637*a^10 - 6113809864211307/43802674146412637*a^9 - 2513805906914816/43802674146412637*a^8 - 15946912564038803/43802674146412637*a^7 + 6630112262060732/43802674146412637*a^6 - 2887185600400447/43802674146412637*a^5 + 13572176297171959/43802674146412637*a^4 - 20361468121852210/43802674146412637*a^3 - 20989323140999239/43802674146412637*a^2 + 14413955243001550/43802674146412637*a + 16868792192854835/43802674146412637], 0, 1, [], 0, [ -(24663538138342)/(229333372494307)*a^(19) + (99398789448816)/(229333372494307)*a^(18) - (60595630704575)/(229333372494307)*a^(17) - (304523159702316)/(229333372494307)*a^(16) + (432653501681666)/(229333372494307)*a^(15) + (402827738282152)/(229333372494307)*a^(14) - (1121045048613597)/(229333372494307)*a^(13) - (526290572973110)/(229333372494307)*a^(12) + (2204623725127888)/(229333372494307)*a^(11) + (398065570937063)/(229333372494307)*a^(10) - (2552808318101099)/(229333372494307)*a^(9) - (709764267526713)/(229333372494307)*a^(8) + (1329716577230789)/(229333372494307)*a^(7) + (181923887411678)/(229333372494307)*a^(6) - (2110820007915419)/(229333372494307)*a^(5) - (1770521145696125)/(229333372494307)*a^(4) + (400546121103475)/(229333372494307)*a^(3) - (25974947308982)/(229333372494307)*a^(2) - (169391815449069)/(229333372494307)*a - (174764010664492)/(229333372494307) , -(4814051759442266)/(43802674146412637)*a^(19) + (42386271398168887)/(43802674146412637)*a^(18) - (142216777498599380)/(43802674146412637)*a^(17) + (198423389599226124)/(43802674146412637)*a^(16) + (18382076459908006)/(43802674146412637)*a^(15) - (367049654737702046)/(43802674146412637)*a^(14) + (192332086855749399)/(43802674146412637)*a^(13) + (500685900898786525)/(43802674146412637)*a^(12) - (304127187109783299)/(43802674146412637)*a^(11) - (1114621774072296803)/(43802674146412637)*a^(10) + (1553868056924245403)/(43802674146412637)*a^(9) - (476475273334280154)/(43802674146412637)*a^(8) + (172804846054005638)/(43802674146412637)*a^(7) - (720211413340008212)/(43802674146412637)*a^(6) + (785680227004784250)/(43802674146412637)*a^(5) + (95416153405931078)/(43802674146412637)*a^(4) - (49908553185150329)/(43802674146412637)*a^(3) - (28989771390451851)/(43802674146412637)*a^(2) - (5946630412555845)/(43802674146412637)*a + (53419377037616797)/(43802674146412637) , -(7029136651536447)/(43802674146412637)*a^(19) + (36816123813264910)/(43802674146412637)*a^(18) - (62139695453234077)/(43802674146412637)*a^(17) - (10187381085471560)/(43802674146412637)*a^(16) + (133044230595885691)/(43802674146412637)*a^(15) - (44322404951611887)/(43802674146412637)*a^(14) - (258461610011037449)/(43802674146412637)*a^(13) + (131228622120374664)/(43802674146412637)*a^(12) + (502248362369982726)/(43802674146412637)*a^(11) - (475461343292898283)/(43802674146412637)*a^(10) - (219001411677499169)/(43802674146412637)*a^(9) + (50460240617504578)/(43802674146412637)*a^(8) + (434261169356761771)/(43802674146412637)*a^(7) - (450471259725530585)/(43802674146412637)*a^(6) - (242013129908737049)/(43802674146412637)*a^(5) - (154889895964020765)/(43802674146412637)*a^(4) + (116441979274358460)/(43802674146412637)*a^(3) - (70419308848255706)/(43802674146412637)*a^(2) - (56905583714801617)/(43802674146412637)*a - (1538596388940222)/(43802674146412637) , -(17609934215263525)/(43802674146412637)*a^(19) + (107504077351411518)/(43802674146412637)*a^(18) - (243603181807968793)/(43802674146412637)*a^(17) + (153418498681265596)/(43802674146412637)*a^(16) + (282465819799018655)/(43802674146412637)*a^(15) - (451904774625312186)/(43802674146412637)*a^(14) - (247822282421802355)/(43802674146412637)*a^(13) + (669265617230412951)/(43802674146412637)*a^(12) + (582738223881638470)/(43802674146412637)*a^(11) - (1778220096076608040)/(43802674146412637)*a^(10) + (1058908251090583578)/(43802674146412637)*a^(9) - (461934668091771173)/(43802674146412637)*a^(8) + (684839060708019964)/(43802674146412637)*a^(7) - (966851276071357656)/(43802674146412637)*a^(6) - (24521645258898850)/(43802674146412637)*a^(5) + (78257627158017944)/(43802674146412637)*a^(4) - (23069263804606326)/(43802674146412637)*a^(3) + (23785471792417088)/(43802674146412637)*a^(2) - (77668882825132915)/(43802674146412637)*a - (25628113824478998)/(43802674146412637) , -(494553192871001)/(43802674146412637)*a^(19) - (900332180600071)/(43802674146412637)*a^(18) + (12065274914726393)/(43802674146412637)*a^(17) - (21683323222546291)/(43802674146412637)*a^(16) - (16138065404986923)/(43802674146412637)*a^(15) + (81935435597814953)/(43802674146412637)*a^(14) - (52362859726463067)/(43802674146412637)*a^(13) - (106775718974101300)/(43802674146412637)*a^(12) + (108813167845406774)/(43802674146412637)*a^(11) + (140153907814976958)/(43802674146412637)*a^(10) - (183309043257058194)/(43802674146412637)*a^(9) - (44823676538799503)/(43802674146412637)*a^(8) + (116156538273769286)/(43802674146412637)*a^(7) - (242526101707523326)/(43802674146412637)*a^(6) + (63568257182207112)/(43802674146412637)*a^(5) - (167687508112128112)/(43802674146412637)*a^(4) - (67499449204245114)/(43802674146412637)*a^(3) - (107346458396690412)/(43802674146412637)*a^(2) - (15574919564764933)/(43802674146412637)*a + (27620378265819140)/(43802674146412637) , -(137633559194009)/(229333372494307)*a^(19) + (827265162594358)/(229333372494307)*a^(18) - (1821502618767890)/(229333372494307)*a^(17) + (1001973628650473)/(229333372494307)*a^(16) + (2346021926134182)/(229333372494307)*a^(15) - (3280683706871622)/(229333372494307)*a^(14) - (2449218102449200)/(229333372494307)*a^(13) + (5213651381791958)/(229333372494307)*a^(12) + (5186107554230699)/(229333372494307)*a^(11) - (13789583562893171)/(229333372494307)*a^(10) + (6917581154025862)/(229333372494307)*a^(9) - (2392268098044245)/(229333372494307)*a^(8) + (4887124964563137)/(229333372494307)*a^(7) - (7518312670543441)/(229333372494307)*a^(6) + (5364322023849)/(229333372494307)*a^(5) - (218381963811263)/(229333372494307)*a^(4) + (279160825138189)/(229333372494307)*a^(3) + (48294631785437)/(229333372494307)*a^(2) - (436049260046104)/(229333372494307)*a - (49064818466245)/(229333372494307) , -(48582439381236)/(229333372494307)*a^(19) + (260030365093871)/(229333372494307)*a^(18) - (452504388532368)/(229333372494307)*a^(17) - (60617261085174)/(229333372494307)*a^(16) + (1044079729879044)/(229333372494307)*a^(15) - (603110747708415)/(229333372494307)*a^(14) - (1611486251060158)/(229333372494307)*a^(13) + (1218082199594208)/(229333372494307)*a^(12) + (3111054766154683)/(229333372494307)*a^(11) - (3662667534326489)/(229333372494307)*a^(10) - (907072572633449)/(229333372494307)*a^(9) + (861109352602291)/(229333372494307)*a^(8) + (1513754946882146)/(229333372494307)*a^(7) - (1938175240947025)/(229333372494307)*a^(6) - (2115810679632913)/(229333372494307)*a^(5) + (474536735518501)/(229333372494307)*a^(4) + (23352128967702)/(229333372494307)*a^(3) - (95401201034043)/(229333372494307)*a^(2) - (174764010664492)/(229333372494307)*a - (24663538138342)/(229333372494307) , (5087691359860370)/(43802674146412637)*a^(19) - (32527739401784909)/(43802674146412637)*a^(18) + (81217171633585414)/(43802674146412637)*a^(17) - (77387325126661118)/(43802674146412637)*a^(16) - (33008774006385150)/(43802674146412637)*a^(15) + (108620166368215431)/(43802674146412637)*a^(14) + (39577815977106845)/(43802674146412637)*a^(13) - (161239620588407493)/(43802674146412637)*a^(12) - (141253614428685987)/(43802674146412637)*a^(11) + (509623484578494128)/(43802674146412637)*a^(10) - (448979572844938153)/(43802674146412637)*a^(9) + (408839399199609086)/(43802674146412637)*a^(8) - (536824776976000624)/(43802674146412637)*a^(7) + (611104256878691267)/(43802674146412637)*a^(6) - (310588467192105941)/(43802674146412637)*a^(5) + (244174648832694569)/(43802674146412637)*a^(4) - (132159705534728522)/(43802674146412637)*a^(3) + (81831195344677529)/(43802674146412637)*a^(2) + (30268737343829636)/(43802674146412637)*a + (17831063441412)/(43802674146412637) , (7531550604033346)/(43802674146412637)*a^(19) - (33453406564454565)/(43802674146412637)*a^(18) + (23549879623317399)/(43802674146412637)*a^(17) + (134151442987474545)/(43802674146412637)*a^(16) - (290950963882042612)/(43802674146412637)*a^(15) + (24808869655583744)/(43802674146412637)*a^(14) + (524930847293773476)/(43802674146412637)*a^(13) - (250570637234021832)/(43802674146412637)*a^(12) - (824856174451229933)/(43802674146412637)*a^(11) + (608274630961854208)/(43802674146412637)*a^(10) + (973192236506188348)/(43802674146412637)*a^(9) - (1163285440763184676)/(43802674146412637)*a^(8) + (285668069384445861)/(43802674146412637)*a^(7) + (100008300749106048)/(43802674146412637)*a^(6) + (734893474451399593)/(43802674146412637)*a^(5) - (340165735795391023)/(43802674146412637)*a^(4) + (15632489405823186)/(43802674146412637)*a^(3) + (134393066248794931)/(43802674146412637)*a^(2) + (17960235646974231)/(43802674146412637)*a - (6993762573897233)/(43802674146412637) , -(1591974380952698)/(43802674146412637)*a^(19) + (10189918691114062)/(43802674146412637)*a^(18) - (19259480551342907)/(43802674146412637)*a^(17) - (17201150294296827)/(43802674146412637)*a^(16) + (119892341179005286)/(43802674146412637)*a^(15) - (148016021229676177)/(43802674146412637)*a^(14) - (60660967615242471)/(43802674146412637)*a^(13) + (265434729616720312)/(43802674146412637)*a^(12) - (4593580603755264)/(43802674146412637)*a^(11) - (408026111987499705)/(43802674146412637)*a^(10) + (130906760043965276)/(43802674146412637)*a^(9) + (537588479891691381)/(43802674146412637)*a^(8) - (666030084656892671)/(43802674146412637)*a^(7) + (377486065213004438)/(43802674146412637)*a^(6) - (253218317885822979)/(43802674146412637)*a^(5) + (356840477396880437)/(43802674146412637)*a^(4) - (166624751243267943)/(43802674146412637)*a^(3) - (26531629777796785)/(43802674146412637)*a^(2) + (22290031065250452)/(43802674146412637)*a - (17256052877085418)/(43802674146412637) ], 3867.06506790925, [[x^5 - 3*x^3 - 2*x^2 + 2*x + 1, 1], [x^10 - 3*x^6 + 2*x^4 + 2*x^2 - 1, 1]]]