Quartic.m

-1250619088240 - 5699613103136 17^(1/4) - 302713574416 √17 - 1382093480160 17^(3/4) - 50584 Sqrt[442 + 86 √17] (872389 + 3990342 17^(1/4) + 212867 √17 + 968362 17^(3/4)) + 12646 Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]] (71776278 + 31394478 17^(1/4) + 17402458 √17 + 7617410 17^(3/4) + Sqrt[442 + 86 √17] (2541415 + 1113007 17^(1/4) + 617009 √17 + 269609 17^(3/4))) + (68 (-50115985137 + 12192537437 17^(1/4) - 12153916727 √17 + 2958221227 17^(3/4)) + 2 Sqrt[442 + 86 √17] (-60354041325 + 14703031349 17^(1/4) - 14641623707 √17 + 3562021267 17^(3/4))) Sqrt[53 + 4 17^(1/4) + 11 √17 + 4 17^(3/4) - Sqrt[442 + 86 √17] + (16 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)))/Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]] + (149116183196 √17 + Sqrt[442 + 86 √17] (21768725794 - 4227540926 17^(1/4) + 5284635694 √17 - 1026749938 17^(3/4)) - 4 (-153753091585 + 29827256959 17^(1/4) + 7230851801 17^(3/4))) Sqrt[442 + 136 17^(1/4) + 118 √17 + 24 17^(3/4) + Sqrt[442 + 86 √17] (9 + 17^(1/4) + √17 + 17^(3/4)) + 4 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)) Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]] + (8897988029792 17^(1/4) + 2158759811488 17^(3/4) + 101168 17^(1/4) Sqrt[442 + 86 √17] (3117953 + 755495 √17) + 25292 Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]] (-44589368 √17 - Sqrt[442 + 86 √17] (6515284 + 1113007 17^(1/4) + 1579212 √17 + 269609 17^(3/4)) - 2 (91904516 + 15697239 17^(1/4) + 3808705 17^(3/4))) + (766805303984 √17 + 136 (23250636826 + 5246827021 17^(1/4) + 1273611387 17^(3/4)) + 4 Sqrt[442 + 86 √17] (27988020142 + 6323282209 17^(1/4) + 6791122818 √17 + 1529734023 17^(3/4))) Sqrt[53 + 4 17^(1/4) + 11 √17 + 4 17^(3/4) - Sqrt[442 + 86 √17] + (16 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)))/Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]] + (-136 (-229706175 + 3113570206 17^(1/4) - 54896025 √17 + 755416082 17^(3/4)) - 4 Sqrt[442 + 86 √17] (-274897463 + 3749519422 17^(1/4) - 69639521 √17 + 908430578 17^(3/4))) Sqrt[442 + 136 17^(1/4) + 118 √17 + 24 17^(3/4) + Sqrt[442 + 86 √17] (9 + 17^(1/4) + √17 + 17^(3/4)) + 4 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)) Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]]) x + (27247446427440 - 4448994014896 17^(1/4) + 6607753826384 √17 - 1079379905744 17^(3/4) + 50584 Sqrt[442 + 86 √17] (19079321 - 3117953 17^(1/4) + 4628943 √17 - 755495 17^(3/4)) + 50584 Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]] (27497908 √17 + Sqrt[442 + 86 √17] (4017865 + 357102 17^(1/4) + 974111 √17 + 86850 17^(3/4)) + 2 (56681366 + 5047725 17^(1/4) + 1223131 17^(3/4))) + (746603281768 √17 - 136 (-22632452059 + 33728518357 17^(1/4) + 8180812019 17^(3/4)) - 4 Sqrt[442 + 86 √17] (-27288153313 + 40623711683 17^(1/4) - 6616334279 √17 + 9851079989 17^(3/4))) Sqrt[53 + 4 17^(1/4) + 11 √17 + 4 17^(3/4) - Sqrt[442 + 86 √17] + (16 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)))/Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]] + (-559441108432 √17 + 8 Sqrt[442 + 86 √17] (-10218076763 + 4771006667 17^(1/4) - 2479747613 √17 + 1157640365 17^(3/4)) + 16 (-144193585115 + 67387453127 17^(1/4) + 16341514705 17^(3/4))) Sqrt[442 + 136 17^(1/4) + 118 √17 + 24 17^(3/4) + Sqrt[442 + 86 √17] (9 + 17^(1/4) + √17 + 17^(3/4)) + 4 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)) Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]]) x^2 + (-22798452412544 - 8897988029792 17^(1/4) - 5528373920640 √17 - 2158759811488 17^(3/4) - 101168 Sqrt[442 + 86 √17] (7980684 + 3117953 17^(1/4) + 1936724 √17 + 755495 17^(3/4)) + 101168 Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]] (-1768 (12137 + 2943 √17) - Sqrt[442 + 86 √17] (760223 + 184505 √17)) + (2427159109488 √17 + 8 Sqrt[442 + 86 √17] (44321816747 - 14472009016 17^(1/4) + 10745940365 √17 - 3509483400 17^(3/4)) - 272 (-36787863073 + 12009758072 17^(1/4) + 2912930120 17^(3/4))) Sqrt[53 + 4 17^(1/4) + 11 √17 + 4 17^(3/4) - Sqrt[442 + 86 √17] + (16 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)))/Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]] + 64 (-12874406697 + 10781329705 17^(1/4) - 3120283071 √17 + 2615316415 17^(3/4) + 4 Sqrt[442 + 86 √17] (-113805004 + 95575105 17^(1/4) - 27661108 √17 + 23168071 17^(3/4))) Sqrt[442 + 136 17^(1/4) + 118 √17 + 24 17^(3/4) + Sqrt[442 + 86 √17] (9 + 17^(1/4) + √17 + 17^(3/4)) + 4 (17 + 3 17^(1/4) + 3 √17 + 17^(3/4)) Sqrt[17 + 7 √17 + Sqrt[442 + 86 √17]]]) x^3 + 202336 (87952594 + 21338366 √17 + Sqrt[442 + 86 √17] (3117953 + 755495 √17)) x^4 == 0