Osnovy teorii Galua.

118

118 ~~~~~Ill. Pa3pewuu~bte ypaenenuq

TaKHM o6pa3oM mtA npH1BeJ1H Haxo>KaeH~e S iK peuieHH~IO gerH KrmaapaTHlbIX ypaBeHI-flj. HQcMOTpI4M, iKaK Bbi6paTb 143 BceBO3MOWKFbix nap KopneR
3TH4X ypaBneNHIA Te KOpHH4, KoTopb1e 1191B0]flIT K S. YpaBnieHne (2.1 5) H m eeT
lCOPlH p a3Hb1X aMaKOB. Kope~ffi Iq MOWKHO Bb1p9331Tb Talc
~2 cos W+ 2 cos 1i7 o 7 + -COS 7F17
Be-mnqHnbI COS flQJnoji)1HTe.TbHbI nIp H k~4 If OTPHLLaTeu~bHI ripH k >-4.
FIOBTOMy Aerl(o y6eawr~bCf, 4T0 Iq > 0.YpaBne~iie (2.1 6) Of~ilTb HmeeT KOPHF! pa3HbIX 3HaKOB. HIpI 9TOM WPM.H
H =2 cos.T+ 2o C 4S 17
lloJIo}KHTejieH. 3ameHM, q1TO oH 6oulbule eatMnHMb, TaK Kac h Hi = - 1 H
H + Hi ==q> 0.
YpaBeHene (2.17) timeeT 110.IOORHTeJ9bHbje 1{0MHH 2 co ic,
=2 cos 4 7 P~e >:. TaKHM o6pa.3oM JAA nony'leHHH 3 Heo6xoatimo npti petueHHn-H Bcex K<Ba21pTHb1X ypaBHeHI~iI (2.15), (2.16), (2.17) 6pamb
nepeui paaIHKa/IaMH Mana n0.inc
10o. nHp m ~ep 2. p- 19. 2 eCTb nepBoo6pa3nbmfI KopeHb. COCTaBHM
BbiqeTbJ cUen~eHeil:
2,4,8,16,13,7,14,9,18, 179,15,11,3,6,12,5,10, 1.
6-~tmefflibe nepHOx~bm Tal(oBbI:=8 +~ +s7 +e181 + el 12.T_ 824.86+14+ 817 + 3 +e
=1 F, ~ E13 + e9 + P-15 ~ 66 + slo
COCTaBJI5em npori3eJaeti4g:
M2: —7 i+ 71+12 +61 +~ 'q 2 + 1 2j +3
OTKyJLa cale~yeT, WIO Thv Thl, 12 YJOBAeTBOP51[OT ypaBHeHHIO
4 + 5, 4
(2.19) 1 2 2-i 3 -q3~+ 2- 6m-q 7 = 0
2,3 1-ii.2-tumeHnbe nepHo2~bi:
H =8 + 18, H ==2 +8e17, H =4 + 815,
Hi = I+a, H4 =e1a s3 H7= 3+s6a
H2 =S7+ 21 2) H5=e 14 +S5, H8 = 9 + 0