Home>

Preprints

Software

Teaching

Online Data>

Lie Type Grps>

Conway Polyn.

Specht modules

Matrix Groups

Misc

Conway polynomials for p = 7

f_7,1 = X + 4     RP
f_7,2 = X² + 6 X + 3     RP
f_7,3 = X³ + 6 X² + 4     RP
f_7,4 = X⁴ + 5 X² + 4 X + 3     RP
f_7,5 = X⁵ + X + 4     RP
f_7,6 = X⁶ + X⁴ + 5 X³ + 4 X² + 6 X + 3     RP
f_7,7 = X⁷ + 6 X + 4     RP
f_7,8 = X⁸ + 4 X³ + 6 X² + 2 X + 3     RP
f_7,9 = X⁹ + 6 X⁴ + X³ + 6 X + 4     RP
f_7,10 = X¹⁰ + X⁶ + X⁵ + 4 X⁴ + X³ + 2 X² + 3 X + 3     RP
f_7,11 = X¹¹ + X + 4     RP
f_7,12 = X¹² + 2 X⁸ + 5 X⁷ + 3 X⁶ + 2 X⁵ + 4 X⁴ + 5 X² + 3     RP
f_7,13 = X¹³ + 6 X² + 4     RP
f_7,14 = X¹⁴ + 5 X⁷ + 6 X⁵ + 2 X⁴ + 3 X² + 6 X + 3     RP
f_7,15 = X¹⁵ + 5 X⁶ + 6 X⁵ + 6 X⁴ + 4 X³ + X² + 2 X + 4     RP
f_7,16 = X¹⁶ + 4 X⁸ + 5 X⁷ + 3 X⁶ + 4 X⁵ + X⁴ + 6 X³ + 2 X² + 4 X + 3     RP
f_7,17 = X¹⁷ + X + 4     RP
f_7,18 = X¹⁸ + X¹² + 2 X¹¹ + 6 X¹⁰ + X⁹ + 6 X⁸ + 5 X⁷ + X⁶ + 3 X⁵ + 6 X² + 2 X + 3     RP
f_7,19 = X¹⁹ + 5 X² + 4     RP
f_7,20 = X²⁰ + X¹² + 6 X¹¹ + 2 X¹⁰ + 5 X⁹ + 2 X⁸ + 3 X⁷ + X⁶ + 3 X⁵ + 3 X³ + X + 3     FL
f_7,21 = X²¹ + 3 X⁷ + 6 X³ + 4 X + 4     RP
f_7,22 = X²² + X¹² + 6 X¹¹ + 5 X¹⁰ + 3 X⁹ + 5 X⁸ + 2 X⁷ + 3 X⁶ + 4 X⁵ + 6 X⁴ + 5 X³ + 5 X² + 4 X + 3     FL
f_7,23 = X²³ + 4 X² + 4 X + 4     RP
f_7,24 = X²⁴ + 6 X¹⁵ + 5 X¹⁴ + 5 X¹³ + X¹² + 2 X¹¹ + X¹⁰ + 3 X⁸ + 4 X⁷ + 5 X⁶ + 2 X⁵ + 2 X⁴ + 6 X³ + 4 X² + 3 X + 3     FL
f_7,25 = X²⁵ + 5 X⁶ + 5 X⁴ + X² + 2 X + 4     RP
f_7,26 = X²⁶ + X¹² + 3 X¹¹ + 6 X¹⁰ + X⁹ + 6 X⁸ + 4 X⁷ + X⁶ + 2 X⁴ + 5 X² + 5 X + 3     JB
f_7,27 = X²⁷ + 6 X¹⁰ + X⁹ + 5 X⁸ + 4 X⁷ + 6 X⁶ + 2 X⁵ + 4 X⁴ + 5 X³ + 5 X² + 4     RPn
f_7,28 = X²⁸ + 4 X¹⁴ + 6 X¹² + 2 X¹¹ + 6 X¹⁰ + 2 X⁹ + 2 X⁸ + 4 X⁷ + 6 X⁶ + 3 X⁵ + X⁴ + 5 X³ + X + 3     JB
f_7,29 = X²⁹ + 6 X + 4     RP
f_7,30 = X³⁰ + X²² + 4 X²¹ + 4 X²⁰ + X¹⁹ + 4 X¹⁸ + X¹⁶ + 2 X¹⁵ + 3 X¹⁴ + 6 X¹³ + 5 X¹² + 2 X¹¹ + 3 X¹⁰ + 3 X⁹ + 2 X⁸ + 4 X⁷ + 2 X⁶ + 3 X⁵ + X³ + 5 X² + 2 X + 3     FL
f_7,31 = X³¹ + 5 X² + 4     RP
f_7,35 = X³⁵ + X¹¹ + X¹⁰ + 5 X⁹ + 6 X⁸ + 5 X⁷ + 5 X⁶ + 3 X⁵ + X⁴ + 3 X³ + 4 X + 4     RPn
f_7,36 = X³⁶ + X²⁴ + 3 X²³ + 4 X²² + 5 X²¹ + 2 X²⁰ + 2 X¹⁹ + 6 X¹⁸ + 6 X¹⁷ + X¹⁶ + 4 X¹⁵ + 3 X¹³ + 3 X¹² + 2 X¹¹ + 6 X¹⁰ + 3 X⁹ + 3 X⁸ + 6 X⁷ + 6 X⁵ + 3 X⁴ + 3 X³ + X² + X + 3     JB
f_7,37 = X³⁷ + 6 X + 4     RP
f_7,41 = X⁴¹ + X³ + 4 X² + X + 4     RP
f_7,42 = X⁴² + 3 X²⁹ + X²⁸ + 6 X²⁷ + 5 X²⁵ + X²⁴ + 4 X²³ + 2 X²² + 6 X²¹ + 6 X²⁰ + 2 X¹⁹ + 3 X¹⁸ + 4 X¹⁷ + 2 X¹⁶ + 5 X¹⁵ + 2 X¹⁴ + X¹² + 5 X¹¹ + 6 X⁹ + X⁸ + 3 X⁷ + X⁵ + 3 X³ + 2 X² + 5 X + 3     JB
f_7,43 = X⁴³ + 5 X² + 2 X + 4     RP
f_7,47 = X⁴⁷ + 4 X² + 3 X + 4     RP
f_7,49 = X⁴⁹ + 6 X⁷ + 3 X⁶ + 4 X⁵ + 5 X⁴ + X³ + 2 X² + X + 4     RPn
f_7,53 = X⁵³ + 6 X + 4     RP
f_7,59 = X⁵⁹ + X³ + 6 X² + 3 X + 4     RP
f_7,61 = X⁶¹ + 6 X² + 5 X + 4     RP
f_7,67 = X⁶⁷ + 6 X² + 4 X + 4     RP
f_7,71 = X⁷¹ + 6 X² + X + 4     RP
f_7,73 = X⁷³ + 3 X³ + 6 X² + 2 X + 4     RP
f_7,79 = X⁷⁹ + X³ + 5 X² + 2 X + 4     RP
f_7,83 = X⁸³ + X³ + 6 X² + 6 X + 4     RP
f_7,89 = X⁸⁹ + X + 4     RP
f_7,97 = X⁹⁷ + X³ + 6 X² + 5 X + 4     RP
f_7,101 = X¹⁰¹ + 6 X³ + X² + 4 X + 4     RPn
f_7,103 = X¹⁰³ + X³ + X² + X + 4     RPn
f_7,107 = X¹⁰⁷ + 6 X² + 4 X + 4     RPn
f_7,109 = X¹⁰⁹ + 6 X⁴ + X + 4     RPn
f_7,113 = X¹¹³ + 3 X² + 5 X + 4     RPn
f_7,127 = X¹²⁷ + 5 X² + 4     RPn
f_7,131 = X¹³¹ + 5 X + 4     RPn
f_7,137 = X¹³⁷ + 6 X⁴ + 3 X² + 2 X + 4     RPn
f_7,139 = X¹³⁹ + 2 X³ + 6 X² + 4 X + 4     RPn
f_7,149 = X¹⁴⁹ + 6 X⁴ + 2 X³ + 6 X² + X + 4     RPn
f_7,151 = X¹⁵¹ + 5 X² + 5 X + 4     RPn
f_7,157 = X¹⁵⁷ + 3 X³ + X² + 4     RPn
f_7,163 = X¹⁶³ + 5 X² + 2 X + 4     RPn
f_7,167 = X¹⁶⁷ + 2 X³ + 5 X² + X + 4     RPn
f_7,173 = X¹⁷³ + 2 X³ + 2 X² + 2 X + 4     RPn
f_7,179 = X¹⁷⁹ + 4 X³ + X² + 3 X + 4     RPn
f_7,181 = X¹⁸¹ + 3 X² + 3 X + 4     RPn
f_7,191 = X¹⁹¹ + 5 X² + 2 X + 4     RPn
f_7,193 = X¹⁹³ + 2 X³ + 6 X² + 4 X + 4     RPn
f_7,197 = X¹⁹⁷ + 3 X³ + 4 X + 4     RPn
f_7,199 = X¹⁹⁹ + 6 X² + 4 X + 4     RPn
f_7,223 = X²²³ + 2 X³ + 5 X² + 4 X + 4     RPn
f_7,227 = X²²⁷ + 6 X⁴ + 3 X³ + 5 X² + 6 X + 4     RPn
f_7,229 = X²²⁹ + 6 X⁴ + 4 X³ + X² + 3 X + 4     RPn
f_7,241 = X²⁴¹ + 3 X³ + 2 X² + 3 X + 4     RPn
f_7,251 = X²⁵¹ + 5 X⁴ + 4 X² + 3 X + 4     RPn

---

Last updated: Wed Dec 28 17:18:14 2005 (CET)