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A002519 Theta series of 28-dimensional unimodular lattice with no roots and a parity vector of norm 4. 1
1, 0, 0, 1728, 106472, 1734912, 19335168, 141575552, 805208040, 3725209088, 14647517184, 50579062848, 156715230240, 443680116992, 1162915024896, 2851005884544, 6596700471272, 14509559545344, 30507866603520 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

REFERENCES

R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28, in Reseaux euclidiens, designs spheriques et formes modulaires, pp. 212-267, Enseignement Math., Geneva, 2001.

LINKS

R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28 (html, ps).

FORMULA

t3^28-56*t3^20*D8+280*t3^12*D8^2-512*t3^4*D8^3 where t3=theta3(z) and D8=(theta2(z)theta4(z))^4/16

CROSSREFS

Cf. A002520.

Sequence in context: A202200 A017403 A017523 * A052068 A114767 A165134

Adjacent sequences:  A002516 A002517 A002518 * A002520 A002521 A002522

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 04 2000

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Last modified February 14 20:13 EST 2012. Contains 205663 sequences.