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Septic fields with discriminant 
Author(s):
John
W.
Jones;
David
P.
Roberts.
Journal:
Math. Comp.
72
(2003),
1975-1985.
MSC (2000):
Primary 11Y40
Posted:
February 3, 2003
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Additional information
Abstract:
We classify septic number fields which are unramified outside of  by a targeted Hunter search; there are exactly  such fields, all with Galois group  . We also describe separate computations which strongly suggest that none of these fields come from specializing septic genus zero three-point covers.
References:
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Additional Information:
John
W.
Jones
Affiliation:
Department of Mathematics and Statistics, Arizona State University, Box 871804, Tempe, Arizona 85287
Email:
jj@asu.edu
David
P.
Roberts
Affiliation:
Division of Science and Mathematics, University of Minnesota-Morris, Morris, Minnesota 56267
Email:
roberts@mrs.umn.edu
DOI:
10.1090/S0025-5718-03-01510-2
PII:
S 0025-5718(03)01510-2
Received by editor(s):
August 27, 2001
Received by editor(s) in revised form:
April 4, 2002
Posted:
February 3, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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