Leonardo's minimal solution to Pell's equation P^2-DQ^2 = 1 in polynomials of degree 2, where D(0) = n; tabulated for n <= 100
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n =    1: perfect square
n =    2: D = x^2+4x+2, P = x^2+4x+3, Q = x+2
n =    3: D = 9x^2+18x+3, P = 3x^2+6x+2, Q = x+1
n =    4: perfect square
n =    5: D = 25x^2+25x+5, P = 40x^2+40x+9, Q = 8x+4
n =    6: D = 9x^2+18x+6, P = 6x^2+12x+5, Q = 2x+2
n =    7: D = x^2+6x+7, P = x^2+6x+8, Q = x+3
n =    8: D = 16x^2+32x+8, P = 4x^2+8x+3, Q = x+1
n =    9: perfect square
n =   10: D = 225x^2+100x+10, P = 405x^2+180x+19, Q = 27x+6
n =   11: D = 1089x^2+242x+11, P = 891x^2+198x+10, Q = 27x+3
n =   12: D = 4x^2+16x+12, P = 2x^2+8x+7, Q = x+2
n =   13: D = 13689x^2+845x+13, P = 682344x^2+42120x+649, Q = 5832x+180
n =   14: D = x^2+8x+14, P = x^2+8x+15, Q = x+4
n =   15: D = 25x^2+50x+15, P = 5x^2+10x+4, Q = x+1
n =   16: perfect square
n =   17: D = 1156x^2+289x+17, P = 2176x^2+544x+33, Q = 64x+8
n =   18: D = 81x^2+81x+18, P = 72x^2+72x+17, Q = 8x+4
n =   19: D = 61009x^2+2166x+19, P = 542659x^2+19266x+170, Q = 2197x+39
n =   20: D = 25x^2+50x+20, P = 10x^2+20x+9, Q = 2x+2
n =   21: D = 441x^2+196x+21, P = 1134x^2+504x+55, Q = 54x+12
n =   22: D = 5929x^2+726x+22, P = 52822x^2+6468x+197, Q = 686x+42
n =   23: D = x^2+10x+23, P = x^2+10x+24, Q = x+5
n =   24: D = 36x^2+72x+24, P = 6x^2+12x+5, Q = x+1
n =   25: perfect square
n =   26: D = 4225x^2+676x+26, P = 8125x^2+1300x+51, Q = 125x+10
n =   27: D = 18225x^2+1458x+27, P = 16875x^2+1350x+26, Q = 125x+5
n =   28: D = 36x^2+64x+28, P = 162x^2+288x+127, Q = 27x+24
n =   29: D = 1030225x^2+10933x+29, P = 348145000x^2+3694600x+9801, Q = 343000x+1820
n =   30: D = 9x^2+36x+30, P = 3x^2+12x+11, Q = x+2
n =   31: D = 49x^2+78x+31, P = 2401x^2+3822x+1520, Q = 343x+273
n =   32: D = 4x^2+24x+32, P = 2x^2+12x+17, Q = x+3
n =   33: D = 9x^2+36x+33, P = 6x^2+24x+23, Q = 2x+4
n =   34: D = x^2+12x+34, P = x^2+12x+35, Q = x+6
n =   35: D = 49x^2+98x+35, P = 7x^2+14x+6, Q = x+1
n =   36: perfect square
n =   37: D = 12321x^2+1369x+37, P = 23976x^2+2664x+73, Q = 216x+12
n =   38: D = 3249x^2+722x+38, P = 3078x^2+684x+37, Q = 54x+6
n =   39: D = 169x^2+169x+39, P = 104x^2+104x+25, Q = 8x+4
n =   40: D = 3600x^2+800x+40, P = 1620x^2+360x+19, Q = 27x+3
n =   41: D = 430336x^2+8405x+41, P = 21495808x^2+419840x+2049, Q = 32768x+320
n =   42: D = 49x^2+98x+42, P = 14x^2+28x+13, Q = 2x+2
n =   43: D = 6436369x^2+33282x+43, P = 521046523x^2+2694294x+3482, Q = 205379x+531
n =   44: D = 36x^2+80x+44, P = 162x^2+360x+199, Q = 27x+30
n =   45: D = 324x^2+243x+45, P = 1152x^2+864x+161, Q = 64x+24
n =   46: D = 529x^2+312x+46, P = 279841x^2+165048x+24335, Q = 12167x+3588
n =   47: D = x^2+14x+47, P = x^2+14x+48, Q = x+7
n =   48: D = 64x^2+128x+48, P = 8x^2+16x+7, Q = x+1
n =   49: perfect square
n =   50: D = 30625x^2+2500x+50, P = 60025x^2+4900x+99, Q = 343x+14
n =   51: D = 127449x^2+5202x+51, P = 122451x^2+4998x+50, Q = 343x+7
n =   52: D = 13689x^2+1690x+52, P = 170586x^2+21060x+649, Q = 1458x+90
n =   53: D = 23261329x^2+70225x+53, P = 29075783464x^2+87778600x+66249, Q = 6028568x+9100
n =   54: D = 88209x^2+4374x+54, P = 790614x^2+39204x+485, Q = 2662x+66
n =   55: D = 25x^2+75x+55, P = 40x^2+120x+89, Q = 8x+12
n =   56: D = 16x^2+64x+56, P = 4x^2+16x+15, Q = x+2
n =   57: D = 9025x^2+1444x+57, P = 23750x^2+3800x+151, Q = 250x+20
n =   58: D = 8242641x^2+43732x+58, P = 2785728429x^2+14779908x+19603, Q = 970299x+2574
n =   59: D = 1841449x^2+20886x+59, P = 16510619x^2+187266x+530, Q = 12167x+69
n =   60: D = 4x^2+32x+60, P = 2x^2+16x+31, Q = x+4
n =   61: D = 821559147201x^2+14158405x+61, P = 23789107717373150568x^2+409971482636040x+1766319049, Q = 26245734734232x+226153980
n =   62: D = x^2+16x+62, P = x^2+16x+63, Q = x+8
n =   63: D = 81x^2+162x+63, P = 9x^2+18x+8, Q = x+1
n =   64: perfect square
n =   65: D = 67600x^2+4225x+65, P = 133120x^2+8320x+129, Q = 512x+16
n =   66: D = 4356x^2+1089x+66, P = 4224x^2+1056x+65, Q = 64x+8
n =   67: D = 219247249x^2+242406x+67, P = 159824699827x^2+176706738x+48842, Q = 10793861x+5967
n =   68: D = 289x^2+289x+68, P = 136x^2+136x+33, Q = 8x+4
n =   69: D = 1521x^2+648x+69, P = 171366x^2+73008x+7775, Q = 4394x+936
n =   70: D = 1225x^2+588x+70, P = 4375x^2+2100x+251, Q = 125x+30
n =   71: D = 49x^2+118x+71, P = 2401x^2+5782x+3480, Q = 343x+413
n =   72: D = 81x^2+162x+72, P = 18x^2+36x+17, Q = 2x+2
n =   73: D = 1519596324x^2+666125x+73, P = 47487343492224x^2+20816388000x+2281249, Q = 1218186432x+267000
n =   74: D = 2531281x^2+27380x+74, P = 126495637x^2+1368260x+3699, Q = 79507x+430
n =   75: D = 9x^2+54x+75, P = 3x^2+18x+26, Q = x+3
n =   76: D = 6084x^2+1360x+76, P = 4626882x^2+1034280x+57799, Q = 59319x+6630
n =   77: D = 3025x^2+968x+77, P = 13750x^2+4400x+351, Q = 250x+40
n =   78: D = 9x^2+54x+78, P = 6x^2+36x+53, Q = 2x+6
n =   79: D = x^2+18x+79, P = x^2+18x+80, Q = x+9
n =   80: D = 100x^2+200x+80, P = 10x^2+20x+9, Q = x+1
n =   81: perfect square
n =   82: D = 136161x^2+6724x+82, P = 269001x^2+13284x+163, Q = 729x+18
n =   83: D = 558009x^2+13778x+83, P = 544563x^2+13446x+82, Q = 729x+9
n =   84: D = 1764x^2+784x+84, P = 1134x^2+504x+55, Q = 27x+6
n =   85: D = 258084225x^2+296225x+85, P = 867673091880x^2+995901480x+285769, Q = 54010152x+30996
n =   86: D = 4809249x^2+40678x+86, P = 581807286x^2+4921092x+10405, Q = 265302x+1122
n =   87: D = 7569x^2+1682x+87, P = 2349x^2+522x+28, Q = 27x+3
n =   88: D = 23716x^2+2904x+88, P = 52822x^2+6468x+197, Q = 343x+21
n =   89: D = 495062500x^2+419813x+89, P = 2781250000000x^2+2358500000x+500001, Q = 125000000x+53000
n =   90: D = 25x^2+100x+90, P = 5x^2+20x+19, Q = x+2
n =   91: D = 5929x^2+1470x+91, P = 102487x^2+25410x+1574, Q = 1331x+165
n =   92: D = 100x^2+192x+92, P = 1250x^2+2400x+1151, Q = 125x+120
n =   93: D = 1946025x^2+26908x+93, P = 254238750x^2+3515400x+12151, Q = 182250x+1260
n =   94: D = 22801x^2+2928x+94, P = 519885601x^2+66761328x+2143295, Q = 3442951x+221064
n =   95: D = 25x^2+100x+95, P = 10x^2+40x+39, Q = 2x+4
n =   96: D = 4x^2+40x+96, P = 2x^2+20x+49, Q = x+5
n =   97: D = 73871978436x^2+5353721x+97, P = 47833729697702016x^2+3466652018976x+62809633, Q = 175992588864x+6377352
n =   98: D = x^2+20x+98, P = x^2+20x+99, Q = x+10
n =   99: D = 121x^2+242x+99, P = 11x^2+22x+10, Q = x+1
n =  100: perfect square