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A124901 Smallest order of any nonsolvable transitive Galois group for a polynomial of degree n. 4
60, 60, 168, 168, 504, 60, 660, 60, 5616, 168, 60, 336, 4080, 180, 60822550204416000, 60, 168, 1320, 10200960, 120, 300, 5616, 1512, 168, 4420880996869850977271808000000, 60 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

COMMENTS

These transitive groups are in MAGMA classification respectively:

a(5)=5T4, a(6)=6T12, a(7)=7T5, a(8)=8T37, a(9)=9T27,

a(10)=10T6, a(11)=11T5, a(12)=12T33, a(13)=13T7, a(14)=14T10,

a(15)=15T5, a(16)=16T713, a(17)=17T6, a(18)=18T90, a(19)=19T7,

a(20)=20T15, a(21)=21T14, a(22)=22T13, a(23)=23T4,

a(24)=24T201, a(25)=25T29, a(26)=26T39, a(27)=27T390,

a(28)=28T32, a(29)=28T7, a(30)=30T9.

LINKS

Table of n, a(n) for n=5..30.

EXAMPLE

a(8)=336 because nonsolvable Galois group PGL(2,7)=L(8) has order 336.

CROSSREFS

Cf. A124900, A186772.

Sequence in context: A283531 A051713 A060225 * A298688 A247437 A266916

Adjacent sequences:  A124898 A124899 A124900 * A124902 A124903 A124904

KEYWORD

nonn

AUTHOR

Artur Jasinski, Nov 12 2006

EXTENSIONS

a(4) corrected and a(11)-a(30) by Artur Jasinski, Feb 26 2011

STATUS

approved

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Last modified October 28 21:20 EDT 2020. Contains 338064 sequences. (Running on oeis4.)