/* 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 - x^28 - 15*x^24 + 31*x^20 + 209*x^16 + 496*x^12 - 3840*x^8 - 4096*x^4 + 65536, 32, 34, [0, 16], 36539993586348786372837376000000000000000000000000, [2, 5, 7], [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, 1/3*a^16 + 1/3*a^12 + 1/3*a^8 + 1/3*a^4 + 1/3, 1/6*a^17 + 1/6*a^13 + 1/6*a^9 + 1/6*a^5 + 1/6*a, 1/12*a^18 - 5/12*a^14 + 1/12*a^10 - 5/12*a^6 + 1/12*a^2, 1/24*a^19 + 7/24*a^15 + 1/24*a^11 + 7/24*a^7 + 1/24*a^3, 1/10032*a^20 - 1/48*a^16 + 17/48*a^12 - 1/48*a^8 + 17/48*a^4 + 80/209, 1/20064*a^21 - 1/96*a^17 + 17/96*a^13 - 1/96*a^9 + 17/96*a^5 + 40/209*a, 1/40128*a^22 - 1/192*a^18 - 79/192*a^14 + 95/192*a^10 + 17/192*a^6 - 169/418*a^2, 1/80256*a^23 - 1/384*a^19 + 113/384*a^15 - 97/384*a^11 - 175/384*a^7 - 169/836*a^3, 1/160512*a^24 - 1/160512*a^20 + 11/256*a^16 - 91/256*a^12 - 85/256*a^8 - 3313/10032*a^4 - 224/627, 1/321024*a^25 - 1/321024*a^21 + 11/512*a^17 - 91/512*a^13 - 85/512*a^9 - 3313/20064*a^5 - 112/627*a, 1/642048*a^26 - 1/642048*a^22 + 11/1024*a^18 - 91/1024*a^14 - 85/1024*a^10 + 16751/40128*a^6 - 56/627*a^2, 1/1284096*a^27 - 1/1284096*a^23 + 11/2048*a^19 + 933/2048*a^15 + 939/2048*a^11 + 16751/80256*a^7 + 571/1254*a^3, 1/2568192*a^28 - 1/2568192*a^24 - 5/856064*a^20 - 529/12288*a^16 + 4097/12288*a^12 + 17845/53504*a^8 + 3329/10032*a^4 + 208/627, 1/5136384*a^29 - 1/5136384*a^25 - 5/1712128*a^21 - 529/24576*a^17 + 4097/24576*a^13 + 17845/107008*a^9 + 3329/20064*a^5 + 104/627*a, 1/10272768*a^30 - 1/10272768*a^26 - 5/3424256*a^22 - 529/49152*a^18 - 20479/49152*a^14 + 17845/214016*a^10 - 16735/40128*a^6 + 52/627*a^2, 1/20545536*a^31 - 1/20545536*a^27 - 5/6848512*a^23 - 529/98304*a^19 - 20479/98304*a^15 - 196171/428032*a^11 - 16735/80256*a^7 - 575/1254*a^3], 1, 0,0,0,0,0, [[x^2 + 1, 1], [x^2 - 2, 1], [x^2 + 2, 1], [x^2 + 70, 1], [x^2 - 70, 1], [x^2 - x + 9, 1], [x^2 - 35, 1], [x^2 - x - 1, 1], [x^2 + 5, 1], [x^2 - 10, 1], [x^2 + 10, 1], [x^2 + 14, 1], [x^2 - 14, 1], [x^2 - x + 2, 1], [x^2 - 7, 1], [x^4 + 1, 1], [x^4 + 1225, 1], [x^4 - 17*x^2 + 81, 1], [x^4 - 2*x^3 + 15*x^2 - 14*x + 119, 1], [x^4 - 36*x^2 + 289, 1], [x^4 + 36*x^2 + 289, 1], [x^4 - 2*x^3 + 23*x^2 - 22*x + 51, 1], [x^4 + 3*x^2 + 1, 1], [x^4 + 25, 1], [x^4 + 49, 1], [x^4 - 3*x^2 + 4, 1], [x^4 - 6*x^2 + 4, 1], [x^4 + 4*x^2 + 9, 1], [x^4 + 6*x^2 + 16, 1], [x^4 - 8*x^2 + 9, 1], [x^4 + 6*x^2 + 4, 1], [x^4 - 4*x^2 + 9, 1], [x^4 + 8*x^2 + 9, 1], [x^4 - 2*x^3 + 9*x^2 - 8*x + 2, 1], [x^4 - 2*x^3 + 27*x^2 - 26*x + 239, 1], [x^4 - 18*x^2 + 361, 1], [x^4 - 2*x^3 - 15*x^2 + 16*x + 134, 1], [x^4 + 6*x^2 + 289, 1], [x^4 - 2*x^3 - 29*x^2 + 30*x + 155, 1], [x^4 + 38*x^2 + 81, 1], [x^4 - 34*x^2 + 9, 1], [x^4 - 2*x^3 + 25*x^2 - 24*x + 74, 1], [x^4 - x^3 + 5*x^2 + 2*x + 4, 1], [x^4 - x^2 + 9, 1], [x^4 + 2*x^2 + 36, 1], [x^4 - 2*x^2 + 36, 1], [x^4 - 2*x^3 - 15*x^2 + 16*x + 29, 1], [x^4 - 2*x^3 + 15*x^2 - 14*x + 14, 1], [x^4 - 12*x^2 + 1, 1], [x^4 + 12*x^2 + 1, 1], [x^4 + 70*x^2 + 980, 1], [x^4 - 70*x^2 + 980, 1], [x^4 + 35*x^2 + 245, 1], [x^4 - x^3 - 9*x^2 + 9*x + 11, 1], [x^4 - 5*x^2 + 5, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - 10*x^2 + 20, 1], [x^4 + 10*x^2 + 20, 1], [x^8 + 127*x^4 + 6561, 1], [x^8 + 7*x^4 + 1, 1], [x^8 + x^4 + 16, 1], [x^8 + 6*x^6 - 28*x^5 + 109*x^4 + 56*x^3 - 484*x^2 - 1260*x + 2745, 1], [x^8 - 4*x^7 + 14*x^6 - 28*x^5 + 99*x^4 - 156*x^3 - 394*x^2 + 468*x + 666, 1], [x^8 - 9*x^6 + 37*x^4 - 36*x^2 + 16, 1], [x^8 - 17*x^4 + 81, 1], [x^8 - 6*x^6 + 39*x^4 + 190*x^2 + 225, 1], [x^8 - 10*x^6 + 47*x^4 + 170*x^2 + 121, 1], [x^8 - 4*x^7 - 14*x^6 + 56*x^5 + 37*x^4 - 172*x^3 - 4*x^2 + 100*x - 31, 1], [x^8 - 4*x^7 + 22*x^6 - 52*x^5 + 127*x^4 - 172*x^3 + 50*x^2 + 28*x + 14, 1], [x^8 - 4*x^7 + 18*x^6 - 40*x^5 + 117*x^4 - 172*x^3 + 204*x^2 - 124*x + 449, 1], [x^8 - 4*x^7 + 6*x^6 - 4*x^5 + 39*x^4 - 76*x^3 - 102*x^2 + 140*x + 326, 1], [x^8 - 4*x^7 + 26*x^6 - 64*x^5 + 159*x^4 - 216*x^3 + 218*x^2 - 120*x + 36, 1], [x^8 + 6*x^6 + 39*x^4 - 190*x^2 + 225, 1], [x^8 + 735*x^4 + 60025, 1], [x^8 + 19*x^6 + 121*x^4 + 279*x^2 + 121, 1], [x^8 - x^6 + x^4 - x^2 + 1, 1], [x^8 + 15*x^4 + 25, 1], [x^8 + 32*x^6 + 379*x^4 + 2108*x^2 + 6241, 1], [x^8 - 2*x^7 - 25*x^6 + 48*x^5 + 139*x^4 - 208*x^3 - 125*x^2 + 262*x - 89, 1], [x^8 - 8*x^6 + 19*x^4 - 12*x^2 + 1, 1], [x^8 + 2*x^6 + 4*x^4 + 8*x^2 + 16, 1], [x^8 - 2*x^7 - 9*x^6 + 24*x^5 + 79*x^4 - 208*x^3 + 59*x^2 - 154*x + 1331, 1], [x^8 - 32*x^6 + 379*x^4 - 2108*x^2 + 6241, 1], [x^8 + 8*x^6 + 19*x^4 + 12*x^2 + 1, 1], [x^8 - 2*x^6 + 4*x^4 - 8*x^2 + 16, 1], [x^8 + 56*x^6 + 931*x^4 + 4116*x^2 + 2401, 1], [x^8 - 14*x^6 + 196*x^4 - 2744*x^2 + 38416, 1], [x^8 + 4*x^6 + 66*x^4 + 404*x^2 + 961, 1], [x^8 + 24*x^6 + 136*x^4 + 184*x^2 + 16, 1], [x^8 + 14*x^6 + 196*x^4 + 2744*x^2 + 38416, 1], [x^8 - 56*x^6 + 931*x^4 - 4116*x^2 + 2401, 1], [x^8 - 4*x^6 + 66*x^4 - 404*x^2 + 961, 1], [x^8 - 24*x^6 + 136*x^4 - 184*x^2 + 16, 1], [x^8 - 4*x^7 - 6*x^6 + 32*x^5 + 79*x^4 - 216*x^3 - 214*x^2 + 328*x + 1556, 1], [x^8 - 4*x^7 + 34*x^6 - 88*x^5 + 299*x^4 - 456*x^3 + 606*x^2 - 392*x + 116, 1], [x^8 - 4*x^7 + 4*x^6 + 2*x^5 + 29*x^4 - 66*x^3 + 36*x^2 - 2*x + 281, 1], [x^8 - x^7 - x^6 + 3*x^5 - x^4 + 6*x^3 - 4*x^2 - 8*x + 16, 1], [x^8 + 40*x^6 + 455*x^4 + 1800*x^2 + 2025, 1], [x^8 - 40*x^6 + 455*x^4 - 1800*x^2 + 2025, 1], [x^8 + 7*x^6 + 49*x^4 + 343*x^2 + 2401, 1], [x^8 - 12*x^6 + 34*x^4 - 23*x^2 + 1, 1], [x^16 + 7*x^12 + 753*x^8 + 112*x^4 + 256, 1], [x^16 + 119*x^12 + 4281*x^8 + 48559*x^4 + 14641, 1], [x^16 - x^12 + x^8 - x^4 + 1, 1], [x^16 - 49*x^12 + 2401*x^8 - 117649*x^4 + 5764801, 1], [x^16 + 76*x^12 + 606*x^8 + 461*x^4 + 1, 1], [x^16 - 8*x^15 + 44*x^14 - 168*x^13 + 548*x^12 - 1468*x^11 + 3106*x^10 - 5124*x^9 + 5853*x^8 - 3668*x^7 - 4466*x^6 + 15476*x^5 - 6972*x^4 - 11236*x^3 + 1886*x^2 + 6196*x + 4321, 1], [x^16 + 3*x^14 + 5*x^12 + 3*x^10 - 11*x^8 + 12*x^6 + 80*x^4 + 192*x^2 + 256, 1], [x^16 + 24*x^14 + 275*x^12 + 1716*x^10 + 6129*x^8 + 10656*x^6 + 9520*x^4 + 2304*x^2 + 256, 1], [x^16 - 8*x^15 + 48*x^14 - 196*x^13 + 656*x^12 - 1752*x^11 + 3898*x^10 - 7148*x^9 + 10467*x^8 - 11960*x^7 + 8262*x^6 - 264*x^5 + 372*x^4 - 6272*x^3 + 4376*x^2 - 480*x + 16, 1], [x^16 + 8*x^14 + 55*x^12 + 368*x^10 + 2449*x^8 + 3312*x^6 + 4455*x^4 + 5832*x^2 + 6561, 1], [x^16 - 32*x^14 + 415*x^12 - 2792*x^10 + 10329*x^8 - 20368*x^6 + 18655*x^4 - 5368*x^2 + 361, 1], [x^16 + 32*x^14 + 415*x^12 + 2792*x^10 + 10329*x^8 + 20368*x^6 + 18655*x^4 + 5368*x^2 + 361, 1], [x^16 - 8*x^14 + 55*x^12 - 368*x^10 + 2449*x^8 - 3312*x^6 + 4455*x^4 - 5832*x^2 + 6561, 1], [x^16 - 2*x^15 - 5*x^14 + 20*x^13 + 19*x^12 + 88*x^11 - 497*x^10 + 10*x^9 + 3711*x^8 - 3712*x^7 + 2758*x^6 - 1816*x^5 + 1084*x^4 - 464*x^3 + 184*x^2 - 64*x + 16, 1], [x^16 - 8*x^15 + 60*x^14 - 280*x^13 + 1124*x^12 - 3468*x^11 + 9018*x^10 - 19020*x^9 + 33341*x^8 - 47668*x^7 + 55478*x^6 - 51524*x^5 + 37524*x^4 - 20676*x^3 + 8214*x^2 - 2116*x + 281, 1]]]