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Search: id:A092070
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| A092070 |
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Molien series for genus 2 complete weight enumerators of self-dual codes over GF(3) containing the all-ones vector. |
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1
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| 1, 2, 13, 87, 472, 2099, 7651, 23632, 64007, 155869, 347888, 722562, 1412787, 2623960, 4663042, 7975064, 13188959, 21174366, 33109962, 50565794, 75601497, 110881127, 159807508, 226678408, 316865230, 437017617, 595296931, 801638887, 1068049576
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The invariant ring for a 9-dimensional group Z_4 X 3^{1+4}_{+}.SP_4(3) of order 50388480.
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
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MAPLE
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(Maple code for Molien series:)
f := 1+8*t^2+60*t^3+292*t^4+1090*t^5+3127*t^6+7116*t^7 +13411*t^8 + 21536*t^9+29963*t^10+36631*t^11+39638*t^12 +37973*t^13+32135*t^14+ 23906*t^15+15462*t^16+8507*t^17 +3858*t^18+1369*t^19+342*t^20+52*t^21+3*t^22;
u1 := subs(t=t^12, f); u2 := (1-t^12)^2*(1-t^24)^2*(1-t^36)^3*(1-t^60)^2; MS := u1/u2;
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CROSSREFS
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Adjacent sequences: A092067 A092068 A092069 this_sequence A092071 A092072 A092073
Sequence in context: A079752 A134148 A074619 this_sequence A091116 A091099 A092849
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KEYWORD
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nonn
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AUTHOR
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njas, Mar 30 2004
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