/* 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^24 - 154*x^18 + 22987*x^12 - 112266*x^6 + 531441, 24, 3, [0, 12], 58668541734536482566932318836192444416, [2, 3, 13], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/40*a^12 - 17/40*a^6 + 9/40, 1/120*a^13 + 23/120*a^7 + 49/120*a, 1/360*a^14 + 143/360*a^8 - 71/360*a^2, 1/1080*a^15 + 143/1080*a^9 - 71/1080*a^3, 1/3240*a^16 + 1223/3240*a^10 - 1151/3240*a^4, 1/9720*a^17 + 4463/9720*a^11 + 2089/9720*a^5, 1/670300920*a^18 + 71/29160*a^12 + 5833/29160*a^6 - 183973/459740, 1/2010902760*a^19 + 71/87480*a^13 + 5833/87480*a^7 - 214571/459740*a, 1/6032708280*a^20 + 71/262440*a^14 + 93313/262440*a^8 - 214571/1379220*a^2, 1/18098124840*a^21 + 71/787320*a^15 + 93313/787320*a^9 - 214571/4137660*a^3, 1/54294374520*a^22 + 71/2361960*a^16 + 93313/2361960*a^10 + 3923089/12412980*a^4, 1/162883123560*a^23 + 71/7085880*a^17 - 2268647/7085880*a^11 + 3923089/37238940*a^5], 1, 26, [26], 1, [ (77)/(17813115)*a^(21) + (1)/(2758440)*a^(19) - (127)/(196830)*a^(15) + (18829)/(196830)*a^(9) - (27)/(1810)*a^(3) + (2117473)/(2758440)*a , (89243)/(27147187260)*a^(22) + (32689)/(6032708280)*a^(20) - (1159)/(2361960)*a^(16) - (217)/(262440)*a^(14) + (173383)/(2361960)*a^(10) + (32689)/(262440)*a^(8) - (10431)/(919480)*a^(4) - (2517053)/(4137660)*a^(2) , (18829)/(4524531210)*a^(21) - (154)/(16757523)*a^(18) - (127)/(196830)*a^(15) + (1)/(729)*a^(12) + (18829)/(196830)*a^(9) - (154)/(729)*a^(6) - (1449833)/(3103245)*a^(3) + (23716)/(22987) , (206591)/(81441561780)*a^(23) - (2683)/(7085880)*a^(17) + (399331)/(7085880)*a^(11) - (8049)/(919480)*a^(5) + 1 , (1)/(2758440)*a^(19) + (2117473)/(2758440)*a + 1 , (1889)/(670300920)*a^(18) - (17)/(29160)*a^(12) + (1889)/(29160)*a^(6) - (145453)/(459740) , (812513)/(162883123560)*a^(23) + (40817)/(9049062420)*a^(22) - (32689)/(6032708280)*a^(21) + (14209)/(2010902760)*a^(20) + (7469)/(502725690)*a^(19) - (154)/(16757523)*a^(18) - (2683)/(3542940)*a^(17) - (127)/(196830)*a^(16) + (217)/(262440)*a^(15) - (97)/(87480)*a^(14) - (97)/(43740)*a^(13) + (1)/(729)*a^(12) + (399331)/(3542940)*a^(11) + (18829)/(196830)*a^(10) - (32689)/(262440)*a^(9) + (14209)/(87480)*a^(8) + (14209)/(43740)*a^(7) - (154)/(729)*a^(6) - (63452881)/(223433640)*a^(5) + (25300573)/(37238940)*a^(4) + (2517053)/(4137660)*a^(3) - (1094093)/(1379220)*a^(2) + (436169)/(459740)*a + (46703)/(22987) , (33353)/(4072078089)*a^(23) - (183589)/(54294374520)*a^(22) - (20287)/(4524531210)*a^(21) - (63191)/(6032708280)*a^(20) + (154)/(16757523)*a^(19) + (1463)/(111716820)*a^(18) - (8843)/(7085880)*a^(17) + (1159)/(2361960)*a^(16) + (127)/(196830)*a^(15) + (217)/(131220)*a^(14) - (1)/(729)*a^(13) - (19)/(9720)*a^(12) + (1318811)/(7085880)*a^(11) - (173383)/(2361960)*a^(10) - (18829)/(196830)*a^(9) - (32689)/(131220)*a^(8) + (154)/(729)*a^(7) + (2683)/(9720)*a^(6) - (125528681)/(223433640)*a^(5) - (625279)/(1861947)*a^(4) - (271450)/(620649)*a^(3) + (16420631)/(8275320)*a^(2) - (729)/(22987)*a - (41553)/(919480) , (427033)/(162883123560)*a^(23) - (14573)/(1357359363)*a^(22) + (32689)/(6032708280)*a^(21) - (7469)/(1005451380)*a^(20) + (23449)/(1005451380)*a^(19) - (154)/(16757523)*a^(18) - (2683)/(7085880)*a^(17) + (1921)/(1180980)*a^(16) - (217)/(262440)*a^(15) + (97)/(87480)*a^(14) - (157)/(43740)*a^(13) + (1)/(729)*a^(12) + (399331)/(7085880)*a^(11) - (286357)/(1180980)*a^(10) + (32689)/(262440)*a^(9) - (14209)/(87480)*a^(8) + (23449)/(43740)*a^(7) - (154)/(729)*a^(6) + (1439629)/(5585841)*a^(5) + (6080969)/(12412980)*a^(4) - (2517053)/(4137660)*a^(3) + (23571)/(919480)*a^(2) - (1115963)/(689610)*a + (46703)/(22987) , (1346513)/(162883123560)*a^(23) + (18829)/(4524531210)*a^(22) + (16709)/(3016354140)*a^(21) + (13774)/(754088535)*a^(20) + (337)/(50272569)*a^(19) + (308)/(16757523)*a^(18) - (8843)/(7085880)*a^(17) - (127)/(196830)*a^(16) - (217)/(262440)*a^(15) - (145)/(52488)*a^(14) - (97)/(87480)*a^(13) - (2)/(729)*a^(12) + (1318811)/(7085880)*a^(11) + (18829)/(196830)*a^(10) + (32689)/(262440)*a^(9) + (21601)/(52488)*a^(8) + (14209)/(87480)*a^(7) + (308)/(729)*a^(6) - (700123)/(1861947)*a^(5) - (1449833)/(3103245)*a^(4) - (17577)/(919480)*a^(3) - (10280351)/(8275320)*a^(2) - (4305659)/(2758440)*a - (24445)/(22987) , (812513)/(162883123560)*a^(23) - (42359)/(54294374520)*a^(22) - (89243)/(9049062420)*a^(21) + (18829)/(1508177070)*a^(20) + (125)/(50272569)*a^(19) - (308)/(16757523)*a^(18) - (2683)/(3542940)*a^(17) + (73)/(472392)*a^(16) + (1159)/(787320)*a^(15) - (127)/(65610)*a^(14) - (23)/(87480)*a^(13) + (2)/(729)*a^(12) + (399331)/(3542940)*a^(11) - (10513)/(472392)*a^(10) - (173383)/(787320)*a^(9) + (18829)/(65610)*a^(8) + (4271)/(87480)*a^(7) - (308)/(729)*a^(6) - (63452881)/(223433640)*a^(5) + (7475894)/(9309735)*a^(4) + (31293)/(919480)*a^(3) - (1449833)/(1034415)*a^(2) + (4218179)/(2758440)*a + (24445)/(22987) ], 428556644.7668969, [[x^2 + 1, 1], [x^2 - 3, 1], [x^2 - x + 1, 1], [x^2 - x - 3, 1], [x^2 + 13, 1], [x^2 - 39, 1], [x^2 - x + 10, 1], [x^3 - 3*x - 1, 1], [x^4 - x^2 + 1, 1], [x^4 + 7*x^2 + 9, 1], [x^4 - 19*x^2 + 100, 1], [x^4 - 2*x^3 - 11*x^2 + 12*x - 3, 1], [x^4 + 5*x^2 + 16, 1], [x^4 - x^3 + 4*x^2 + 3*x + 9, 1], [x^4 - 13*x^2 + 169, 1], [x^6 + 6*x^4 + 9*x^2 + 1, 1], [x^6 - 6*x^4 + 9*x^2 - 3, 1], [x^6 - x^3 + 1, 1], [x^6 - 3*x^5 - 12*x^4 + 27*x^3 + 21*x^2 - 48*x + 17, 1], [x^6 + 33*x^4 - 2*x^3 + 516*x^2 + 84*x + 3329, 1], [x^6 - 78*x^4 + 1521*x^2 - 6591, 1], [x^6 + 18*x^4 - 10*x^3 + 81*x^2 - 90*x + 181, 1], [x^8 - 7*x^6 + 40*x^4 - 63*x^2 + 81, 1], [x^12 - x^6 + 1, 1], [x^12 + 33*x^10 + 360*x^8 + 1423*x^6 + 1269*x^4 + 234*x^2 + 9, 1], [x^12 - 36*x^10 + 486*x^8 - 3178*x^6 + 11277*x^4 - 21222*x^2 + 32761, 1], [x^12 - 6*x^11 - 15*x^10 + 130*x^9 + 6*x^8 - 870*x^7 + 619*x^6 + 1800*x^5 - 2085*x^4 - 138*x^3 + 720*x^2 - 162*x - 3, 1], [x^12 + 3*x^10 + 69*x^8 + 1151*x^6 + 6681*x^4 + 16863*x^2 + 16129, 1], [x^12 - 10*x^9 + 127*x^6 + 270*x^3 + 729, 1], [x^12 - 2197*x^6 + 4826809, 1]]]