/* 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^19 - 3*x^18 - 12*x^17 + 40*x^16 + 52*x^15 - 216*x^14 - 88*x^13 + 614*x^12 + 8*x^11 - 987*x^10 + 143*x^9 + 904*x^8 - 163*x^7 - 461*x^6 + 72*x^5 + 128*x^4 - 14*x^3 - 18*x^2 + x + 1, 19, 8, [13, 3], -6102326046691495371062145790782484, [2, 90313, 16881409121807, 1000636759045331], [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], 0, 1, [], 1, [ a , 2*a^(18) - 6*a^(17) - 23*a^(16) + 77*a^(15) + 93*a^(14) - 395*a^(13) - 135*a^(12) + 1049*a^(11) - 31*a^(10) - 1539*a^(9) + 247*a^(8) + 1256*a^(7) - 222*a^(6) - 570*a^(5) + 85*a^(4) + 147*a^(3) - 15*a^(2) - 16*a + 1 , 43*a^(18) - 93*a^(17) - 617*a^(16) + 1274*a^(15) + 3571*a^(14) - 7219*a^(13) - 10920*a^(12) + 22077*a^(11) + 20371*a^(10) - 38456*a^(9) - 25286*a^(8) + 37258*a^(7) + 20288*a^(6) - 18790*a^(5) - 9257*a^(4) + 4425*a^(3) + 2059*a^(2) - 378*a - 169 , a^(18) - 2*a^(17) - 14*a^(16) + 26*a^(15) + 78*a^(14) - 138*a^(13) - 226*a^(12) + 388*a^(11) + 396*a^(10) - 591*a^(9) - 448*a^(8) + 456*a^(7) + 293*a^(6) - 168*a^(5) - 96*a^(4) + 32*a^(3) + 18*a^(2) , 21*a^(18) - 50*a^(17) - 283*a^(16) + 665*a^(15) + 1504*a^(14) - 3607*a^(13) - 4081*a^(12) + 10376*a^(11) + 6587*a^(10) - 16666*a^(9) - 7302*a^(8) + 14482*a^(7) + 5529*a^(6) - 6270*a^(5) - 2363*a^(4) + 1229*a^(3) + 466*a^(2) - 91*a - 35 , 9*a^(18) - 23*a^(17) - 117*a^(16) + 305*a^(15) + 587*a^(14) - 1642*a^(13) - 1435*a^(12) + 4659*a^(11) + 1920*a^(10) - 7356*a^(9) - 1670*a^(8) + 6291*a^(7) + 1051*a^(6) - 2693*a^(5) - 371*a^(4) + 524*a^(3) + 40*a^(2) - 39*a + 1 , 209*a^(18) - 759*a^(17) - 2056*a^(16) + 9741*a^(15) + 5036*a^(14) - 49402*a^(13) + 11483*a^(12) + 126720*a^(11) - 76365*a^(10) - 173402*a^(9) + 139869*a^(8) + 123583*a^(7) - 116120*a^(6) - 41681*a^(5) + 44915*a^(4) + 6058*a^(3) - 7827*a^(2) - 286*a + 495 , 283*a^(18) - 691*a^(17) - 3783*a^(16) + 9212*a^(15) + 19871*a^(14) - 50082*a^(13) - 52901*a^(12) + 144447*a^(11) + 82927*a^(10) - 233527*a^(9) - 89857*a^(8) + 206314*a^(7) + 69077*a^(6) - 92443*a^(5) - 31372*a^(4) + 19024*a^(3) + 6727*a^(2) - 1428*a - 523 , 44*a^(18) - 222*a^(17) - 238*a^(16) + 2752*a^(15) - 1460*a^(14) - 13081*a^(13) + 15422*a^(12) + 29576*a^(11) - 50590*a^(10) - 31448*a^(9) + 79357*a^(8) + 11894*a^(7) - 63103*a^(6) + 2337*a^(5) + 24427*a^(4) - 1889*a^(3) - 4421*a^(2) + 234*a + 300 , 114*a^(18) - 263*a^(17) - 1570*a^(16) + 3531*a^(15) + 8607*a^(14) - 19430*a^(13) - 24465*a^(12) + 57077*a^(11) + 41958*a^(10) - 94384*a^(9) - 48908*a^(8) + 85454*a^(7) + 37979*a^(6) - 39311*a^(5) - 16682*a^(4) + 8295*a^(3) + 3458*a^(2) - 640*a - 263 , 138*a^(18) - 428*a^(17) - 1580*a^(16) + 5583*a^(15) + 6226*a^(14) - 29167*a^(13) - 7577*a^(12) + 78816*a^(11) - 9405*a^(10) - 117018*a^(9) + 31359*a^(8) + 94149*a^(7) - 27593*a^(6) - 38424*a^(5) + 9685*a^(4) + 7388*a^(3) - 1337*a^(2) - 530*a + 50 , 77*a^(18) - 309*a^(17) - 670*a^(16) + 3935*a^(15) + 712*a^(14) - 19657*a^(13) + 10231*a^(12) + 48997*a^(11) - 44486*a^(10) - 63824*a^(9) + 76094*a^(8) + 41835*a^(7) - 62812*a^(6) - 11944*a^(5) + 24850*a^(4) + 1181*a^(3) - 4510*a^(2) - 5*a + 300 , 18*a^(18) - 65*a^(17) - 181*a^(16) + 846*a^(15) + 473*a^(14) - 4382*a^(13) + 882*a^(12) + 11614*a^(11) - 6708*a^(10) - 16764*a^(9) + 13221*a^(8) + 13113*a^(7) - 12196*a^(6) - 5288*a^(5) + 5594*a^(4) + 1046*a^(3) - 1228*a^(2) - 80*a + 102 , 26*a^(18) - 42*a^(17) - 414*a^(16) + 597*a^(15) + 2700*a^(14) - 3590*a^(13) - 9487*a^(12) + 11892*a^(11) + 20364*a^(10) - 22470*a^(9) - 27772*a^(8) + 23312*a^(7) + 22877*a^(6) - 12406*a^(5) - 10218*a^(4) + 3041*a^(3) + 2183*a^(2) - 270*a - 172 , 158*a^(18) - 544*a^(17) - 1655*a^(16) + 7053*a^(15) + 5092*a^(14) - 36381*a^(13) + 2206*a^(12) + 96020*a^(11) - 41237*a^(10) - 137641*a^(9) + 83471*a^(8) + 105803*a^(7) - 72482*a^(6) - 40686*a^(5) + 29294*a^(4) + 7230*a^(3) - 5375*a^(2) - 459*a + 356 ], 61782008553.5, []]