/* 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^32 - 28*x^30 + 502*x^28 - 5304*x^26 + 40319*x^24 - 205348*x^22 + 769870*x^20 - 2005384*x^18 + 3886261*x^16 - 5310988*x^14 + 5324752*x^12 - 3494768*x^10 + 1644300*x^8 - 452512*x^6 + 81152*x^4 - 1184*x^2 + 16, 32, 273, [0, 16], 184085596562491198850839682056048266622946116632576, [2, 3, 7, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^8 - 1/2*a^4, 1/2*a^13 - 1/2*a^9 - 1/2*a^5, 1/2*a^14 - 1/2*a^10 - 1/2*a^6, 1/2*a^15 - 1/2*a^11 - 1/2*a^7, 1/16*a^16 - 1/4*a^15 + 1/8*a^14 + 1/16*a^12 - 1/4*a^11 + 1/8*a^10 - 1/2*a^9 - 5/16*a^8 + 1/4*a^7 + 3/8*a^6 - 1/2*a^5 + 3/8*a^4 - 1/2*a^3 + 1/4*a^2 - 1/2*a + 1/4, 1/16*a^17 + 1/8*a^15 + 1/16*a^13 + 1/8*a^11 - 1/2*a^10 - 5/16*a^9 + 3/8*a^7 - 1/2*a^6 + 3/8*a^5 + 1/4*a^3 - 1/2*a^2 + 1/4*a, 1/16*a^18 - 3/16*a^14 - 1/2*a^11 + 7/16*a^10 - 1/2*a^7 - 3/8*a^6 - 1/2*a^4 - 1/2*a^3 - 1/4*a^2 - 1/2, 1/32*a^19 + 5/32*a^15 - 1/4*a^12 + 15/32*a^11 - 1/2*a^9 + 1/4*a^8 - 7/16*a^7 - 1/2*a^6 + 1/4*a^5 - 1/4*a^4 - 1/8*a^3 - 1/4*a, 1/32*a^20 - 1/32*a^16 - 1/4*a^15 + 1/8*a^14 - 1/4*a^13 - 7/32*a^12 - 1/4*a^11 - 3/8*a^10 - 1/4*a^9 - 1/4*a^7 - 3/8*a^6 + 1/4*a^5 + 1/4*a^4 - 1/2*a^3 - 1/2*a + 1/4, 1/32*a^21 - 1/32*a^17 + 1/8*a^15 - 1/4*a^14 - 7/32*a^13 - 3/8*a^11 - 1/4*a^10 - 1/2*a^8 - 3/8*a^7 + 1/4*a^6 + 1/4*a^5 - 1/2*a^2 + 1/4*a, 1/32*a^22 - 1/32*a^18 - 1/4*a^15 + 1/32*a^14 - 1/4*a^11 + 1/4*a^10 - 1/2*a^9 - 1/4*a^8 + 1/4*a^7 - 1/4*a^4 - 1/2*a^3 - 1/4*a^2 - 1/2, 1/32*a^23 + 3/16*a^15 - 1/4*a^12 - 9/32*a^11 - 1/2*a^10 + 1/4*a^9 + 1/4*a^8 - 7/16*a^7 - 1/2*a^6 - 1/4*a^4 - 3/8*a^3 + 1/4*a, 1/160*a^24 + 1/80*a^22 - 1/160*a^20 + 3/160*a^16 - 1/4*a^15 - 1/10*a^14 + 1/16*a^12 - 1/4*a^11 + 37/80*a^10 - 1/2*a^9 - 13/80*a^8 - 1/4*a^7 - 7/20*a^6 - 1/2*a^5 - 3/8*a^4 + 2/5*a^2 - 1/2*a + 3/20, 1/160*a^25 + 1/80*a^23 - 1/160*a^21 + 3/160*a^17 - 1/10*a^15 + 1/16*a^13 + 37/80*a^11 - 1/2*a^10 - 13/80*a^9 - 1/2*a^8 - 7/20*a^7 - 1/2*a^6 - 3/8*a^5 - 1/2*a^4 + 2/5*a^3 - 1/2*a^2 + 3/20*a, 1/160*a^26 + 1/80*a^20 - 1/80*a^18 - 1/80*a^16 - 1/4*a^15 + 7/160*a^14 - 3/80*a^12 + 1/4*a^11 - 7/80*a^10 - 2/5*a^8 - 1/4*a^7 - 17/40*a^6 - 1/2*a^5 + 3/20*a^4 - 2/5*a^2 - 3/10, 1/160*a^27 + 1/80*a^21 - 1/80*a^19 - 1/80*a^17 + 7/160*a^15 - 3/80*a^13 - 7/80*a^11 - 2/5*a^9 - 17/40*a^7 - 1/2*a^6 + 3/20*a^5 - 2/5*a^3 - 3/10*a, 1/175840*a^28 + 1/1099*a^26 - 13/43960*a^24 - 8/785*a^22 + 67/17584*a^20 + 409/87920*a^18 - 2659/175840*a^16 - 1/4*a^15 - 8177/87920*a^14 + 9809/43960*a^12 + 1/4*a^11 - 35291/87920*a^10 - 1/2*a^9 + 15287/87920*a^8 + 1/4*a^7 + 389/785*a^6 - 1/2*a^5 + 1429/43960*a^4 - 851/10990*a^2 - 1/2*a + 8569/21980, 1/175840*a^29 + 1/1099*a^27 - 13/43960*a^25 - 8/785*a^23 + 67/17584*a^21 + 409/87920*a^19 - 2659/175840*a^17 - 8177/87920*a^15 + 9809/43960*a^13 - 35291/87920*a^11 - 1/2*a^10 + 15287/87920*a^9 - 1/2*a^8 + 389/785*a^7 - 1/2*a^6 + 1429/43960*a^5 - 851/10990*a^3 - 1/2*a^2 + 8569/21980*a, 1/190788337649711815645073658881787777760*a^30 - 345279915742872498713546968513941/190788337649711815645073658881787777760*a^28 + 51340448332752303941002362577605425/19078833764971181564507365888178777776*a^26 - 4703809618338991096136690375909967/190788337649711815645073658881787777760*a^24 - 32609254834868263382482321597309411/95394168824855907822536829440893888880*a^22 - 2881941860999584209684645275361626191/190788337649711815645073658881787777760*a^20 - 56765329744331961628800578533135857/2298654670478455610181610347973346720*a^18 + 175985088746743384284376084913685/40081583539855423454847407328106676*a^16 - 1/4*a^15 - 16939187225412775217071406152000730217/95394168824855907822536829440893888880*a^14 + 4479584252661388560116053010516988/70142771194746991045982962824186683*a^12 - 1/4*a^11 - 3863925225707118773652159289935706337/19078833764971181564507365888178777776*a^10 + 23039887897604817841482787391718497213/95394168824855907822536829440893888880*a^8 + 1/4*a^7 + 4857301798447588673638910232821392001/11924271103106988477817103680111736110*a^6 - 1/2*a^5 + 3190302612004962558075331382732057047/6813869201775421987324059245778134920*a^4 + 496676804428185645325100279857400866/5962135551553494238908551840055868055*a^2 - 1/2*a + 8926784699240658874266066678781473123/23848542206213976955634207360223472220, 1/381576675299423631290147317763575555520*a^31 + 184932775912029565899800329757587/95394168824855907822536829440893888880*a^29 + 9814374949001165162572333596902007/5451095361420337589859247396622507936*a^27 + 141412840960503542130663845835370077/47697084412427953911268414720446944440*a^25 - 5586839587350488516174540678507505543/381576675299423631290147317763575555520*a^23 - 836852897079579811679203572679531543/95394168824855907822536829440893888880*a^21 + 12880434919492601610180312777209761/2298654670478455610181610347973346720*a^19 - 76429007722801748987264265503451023/2805710847789879641839318512967467320*a^17 - 731141051404079756788399063723570273/54510953614203375898592473966225079360*a^15 - 1/4*a^14 + 805234728295057212259097882333734273/5611421695579759283678637025934934640*a^13 - 1/4*a^12 - 1566675829260203015299608968878875067/190788337649711815645073658881787777760*a^11 + 1/4*a^10 - 4402512485969662767141081800282072543/47697084412427953911268414720446944440*a^9 - 1/4*a^8 - 15363841165020546080527258405397147359/95394168824855907822536829440893888880*a^7 - 1/4*a^6 + 3405682453048675023802962180171609/9539416882485590782253682944089388888*a^5 + 1/4*a^4 + 4839717672597433543048893239059306237/23848542206213976955634207360223472220*a^3 - 1/2*a^2 - 4983355851385076103122681255402267497/11924271103106988477817103680111736110*a - 1/2], 1, 0,0,0,0,0, [[x^2 - 2, 1], [x^2 - 42, 1], [x^2 - 3, 1], [x^2 - 7, 1], [x^2 - x + 1, 1], [x^2 - x + 2, 1], [x^2 + 2, 1], [x^2 + 42, 1], [x^2 - x - 5, 1], [x^2 - 6, 1], [x^2 + 6, 1], [x^2 + 21, 1], [x^2 + 1, 1], [x^2 + 14, 1], [x^2 - 14, 1], [x^4 - 2*x^3 - 7*x^2 + 2*x + 7, 1], [x^4 - 2*x^3 - 17*x^2 + 4*x + 46, 1], [x^4 - 6*x^2 - 4*x + 2, 1], [x^4 - 106*x^2 - 84*x + 1822, 1], [x^4 - 2*x^3 + 5*x^2 - 4*x + 2, 1], [x^4 - 2*x^3 + 53*x^2 - 10*x + 487, 1], [x^4 + 14*x^2 - 12*x + 46, 1], [x^4 + 34*x^2 - 28*x + 226, 1], [x^4 - 10*x^2 + 4, 1], [x^4 + 10*x^2 + 4, 1], [x^4 + 11*x^2 + 25, 1], [x^4 + 9, 1], [x^4 + 4*x^2 + 25, 1], [x^4 - 4*x^2 + 25, 1], [x^4 + 49, 1], [x^4 - 2*x^3 - 13*x^2 + 14*x + 7, 1], [x^4 - 5*x^2 + 1, 1], [x^4 - x^3 - x^2 - 2*x + 4, 1], [x^4 - 2*x^3 - 5*x^2 + 6*x + 51, 1], [x^4 - 4*x^2 + 1, 1], [x^4 - 24*x^2 + 81, 1], [x^4 - 2*x^2 + 4, 1], [x^4 - 2*x^3 - 7*x^2 + 8*x + 58, 1], [x^4 + 2*x^2 + 4, 1], [x^4 - 2*x^3 + 17*x^2 - 16*x + 22, 1], [x^4 + 4*x^2 + 1, 1], [x^4 + 24*x^2 + 81, 1], [x^4 + 20*x^2 + 121, 1], [x^4 - 20*x^2 + 121, 1], [x^4 - 2*x^3 - x^2 + 2*x + 22, 1], [x^4 + 7*x^2 + 49, 1], [x^4 + 1, 1], [x^4 + 441, 1], [x^4 - x^2 + 1, 1], [x^4 - 3*x^2 + 4, 1], [x^4 + 6*x^2 + 16, 1], [x^4 - 14*x^2 + 196, 1], [x^4 + 28*x^2 + 49, 1], [x^4 + 8*x^2 + 9, 1], [x^4 - 8*x^2 + 9, 1], [x^4 - 28*x^2 + 49, 1], [x^4 + 14*x^2 + 196, 1], [x^4 - 2*x^3 + 9*x^2 - 8*x + 2, 1], [x^8 + 23*x^4 + 1, 1], [x^8 - 16*x^6 + 79*x^4 - 120*x^2 + 9, 1], [x^8 - 2*x^7 - 5*x^6 - 2*x^5 + 63*x^4 - 64*x^3 + 46*x^2 - 16*x + 4, 1], [x^8 - 4*x^7 + 18*x^6 - 40*x^5 + 83*x^4 - 104*x^3 + 22*x^2 + 24*x + 4, 1], [x^8 + 16*x^6 + 79*x^4 + 120*x^2 + 9, 1], [x^8 + 71*x^4 + 625, 1], [x^8 + 3*x^6 + 5*x^4 + 12*x^2 + 16, 1], [x^8 - x^4 + 1, 1], [x^8 - 4*x^7 + 14*x^6 - 28*x^5 + 67*x^4 - 92*x^3 - 106*x^2 + 148*x + 106, 1], [x^8 + 12*x^6 + 65*x^4 + 48*x^2 + 16, 1], [x^8 - 8*x^6 + 55*x^4 - 72*x^2 + 81, 1], [x^8 + 8*x^6 + 55*x^4 + 72*x^2 + 81, 1], [x^8 - 4*x^7 + 22*x^6 - 52*x^5 + 111*x^4 - 140*x^3 + 130*x^2 - 68*x + 22, 1], [x^8 + x^4 + 16, 1], [x^8 - 49*x^4 + 2401, 1], [x^8 - 2*x^7 - 21*x^6 + 70*x^5 + 3*x^4 - 248*x^3 + 338*x^2 - 168*x + 28, 1], [x^8 - 4*x^7 - 26*x^6 + 84*x^5 + 169*x^4 - 512*x^3 - 72*x^2 + 744*x - 383, 1], [x^8 - 14*x^6 + 143*x^4 - 826*x^2 + 2209, 1], [x^8 + 14*x^6 - 32*x^5 + 18*x^4 + 280*x^3 - 612*x^2 - 344*x + 2692, 1], [x^8 - 10*x^6 - 4*x^5 + 21*x^4 + 8*x^3 - 12*x^2 - 4*x + 1, 1], [x^8 - 4*x^7 - 34*x^6 + 116*x^5 + 327*x^4 - 852*x^3 - 1062*x^2 + 1508*x + 382, 1], [x^8 - 4*x^7 + 6*x^6 - 4*x^5 + 15*x^4 - 28*x^3 + 2*x^2 + 12*x + 46, 1], [x^8 + 30*x^6 - 28*x^5 + 373*x^4 - 504*x^3 + 2332*x^2 - 1316*x + 5329, 1], [x^8 - 2*x^7 - x^6 - 2*x^5 + 15*x^4 - 12*x^3 + 6*x^2 - 8*x + 4, 1], [x^8 - 2*x^7 + 21*x^6 + 26*x^5 + 251*x^4 + 116*x^3 + 798*x^2 + 184*x + 2116, 1], [x^8 + 6*x^6 - 8*x^5 + 34*x^4 - 24*x^3 + 28*x^2 + 8*x + 4, 1], [x^8 - 34*x^6 - 56*x^5 + 930*x^4 + 952*x^3 - 6900*x^2 + 6328*x + 51076, 1], [x^8 - 4*x^7 + 54*x^6 - 148*x^5 + 903*x^4 - 1564*x^3 + 5210*x^2 - 4452*x + 8302, 1], [x^8 + 14*x^6 - 4*x^5 + 141*x^4 + 56*x^3 + 900*x^2 + 404*x + 2137, 1], [x^8 + 34*x^6 - 12*x^5 + 303*x^4 + 48*x^3 + 22*x^2 + 420*x + 238, 1], [x^8 - 4*x^7 + 34*x^6 - 8*x^5 + 90*x^4 + 548*x^3 + 862*x^2 + 1672*x + 2377, 1], [x^8 - 4*x^7 + 14*x^6 - 28*x^5 + 43*x^4 - 44*x^3 + 30*x^2 - 12*x + 2, 1], [x^8 - 106*x^6 - 84*x^5 + 3721*x^4 + 4536*x^3 - 45480*x^2 - 36036*x + 208377, 1], [x^8 + 18*x^6 + 107*x^4 + 210*x^2 + 1, 1], [x^8 + 38*x^6 + 481*x^4 + 2112*x^2 + 1024, 1], [x^8 + 14*x^6 + 45*x^4 + 28*x^2 + 4, 1], [x^8 - 10*x^6 - 12*x^5 + 73*x^4 + 144*x^3 + 132*x^2 + 216*x + 639, 1], [x^8 - 4*x^7 + 42*x^6 - 88*x^5 + 431*x^4 - 488*x^3 + 1246*x^2 + 396*x + 382, 1], [x^8 - 4*x^7 + 2*x^6 + 43*x^4 - 8*x^3 + 82*x^2 + 44*x + 226, 1], [x^8 - 4*x^7 - 22*x^6 + 80*x^5 + 97*x^4 - 332*x^3 + 152*x^2 + 28*x + 1, 1], [x^8 - 14*x^6 - 4*x^5 + 43*x^4 - 38*x^2 + 12*x + 2, 1], [x^8 - 4*x^7 - 2*x^6 + 20*x^5 + 35*x^4 - 108*x^3 - 138*x^2 + 196*x + 434, 1], [x^8 + 6*x^6 - 12*x^5 + 65*x^4 - 120*x^3 + 288*x^2 + 84*x + 721, 1], [x^16 - x^12 - 15*x^8 - 16*x^4 + 256, 1], [x^16 - 36*x^14 + 458*x^12 - 2632*x^10 + 7833*x^8 - 12724*x^6 + 11148*x^4 - 4816*x^2 + 784, 1], [x^16 - 8*x^15 + 16*x^14 + 20*x^13 - 50*x^12 - 268*x^11 + 1040*x^10 - 1736*x^9 + 3087*x^8 - 5468*x^7 + 7280*x^6 - 8344*x^5 + 8326*x^4 - 6196*x^3 + 15496*x^2 - 19964*x + 14617, 1], [x^16 - 14*x^14 + 151*x^12 - 574*x^10 + 1629*x^8 - 1148*x^6 + 604*x^4 - 112*x^2 + 16, 1], [x^16 - 8*x^15 + 56*x^14 - 236*x^13 + 896*x^12 - 2576*x^11 + 6242*x^10 - 12028*x^9 + 18933*x^8 - 20808*x^7 + 16658*x^6 - 1688*x^5 - 1910*x^4 + 4872*x^3 + 4340*x^2 + 1176*x + 196, 1], [x^16 - 28*x^14 + 478*x^12 - 5732*x^10 + 49803*x^8 - 313732*x^6 + 1367386*x^4 - 3683384*x^2 + 4566769, 1], [x^16 + 46*x^14 + 727*x^12 + 5342*x^10 + 19917*x^8 + 37132*x^6 + 31084*x^4 + 9296*x^2 + 784, 1], [x^16 - 4*x^15 + 2*x^14 + 41*x^12 - 92*x^11 + 66*x^10 - 104*x^9 + 291*x^8 - 388*x^7 + 366*x^6 - 344*x^5 + 286*x^4 - 184*x^3 + 84*x^2 - 24*x + 4, 1], [x^16 - 38*x^14 + 1047*x^12 - 11926*x^10 + 95453*x^8 - 466444*x^6 + 1656348*x^4 - 3343280*x^2 + 4477456, 1], [x^16 + 12*x^14 + 98*x^12 + 88*x^10 + 213*x^8 - 6092*x^6 + 21576*x^4 - 33944*x^2 + 20164, 1], [x^16 - 8*x^15 + 24*x^14 - 20*x^13 - 22*x^12 - 92*x^11 + 932*x^10 - 3152*x^9 + 7935*x^8 - 16684*x^7 + 31292*x^6 - 47960*x^5 + 66166*x^4 - 73676*x^3 + 76948*x^2 - 54308*x + 37993, 1], [x^16 - 4*x^15 + 18*x^14 - 32*x^13 + 49*x^12 + 132*x^11 - 238*x^10 + 1016*x^9 + 1107*x^8 - 388*x^7 + 10838*x^6 + 9864*x^5 + 25022*x^4 + 66696*x^3 + 98308*x^2 + 85064*x + 188356, 1], [x^16 + 14*x^14 - 8*x^13 + 153*x^12 - 56*x^11 + 542*x^10 + 160*x^9 + 1315*x^8 + 472*x^7 + 1626*x^6 + 1040*x^5 + 1358*x^4 + 456*x^3 + 220*x^2 - 24*x + 4, 1], [x^16 - 8*x^15 + 128*x^13 - 92*x^12 - 996*x^11 + 742*x^10 + 3912*x^9 - 2003*x^8 - 5460*x^7 + 1178*x^6 - 13384*x^5 + 22488*x^4 - 44268*x^3 + 92842*x^2 + 21192*x + 38497, 1], [x^16 + 28*x^14 + 282*x^12 + 1296*x^10 + 2917*x^8 + 3228*x^6 + 1616*x^4 + 296*x^2 + 4, 1]]]