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A143747
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Complete list, sorted, of discriminants of definite Eichler orders with class number 1.
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1
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1, 5, 8, 13, 17, 49, 81, 148, 169, 316, 321, 725, 1957, 2777, 24217
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| From Kirschmer and Voight, Table 7.1: Definite Eichler orders with class number h = 1, p.26.
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LINKS
| Markus Kirschmer, John Voight, Algorithmic enumeration of ideal classes for quaternion orders, arXiv:0808.3833 [math.NT]
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EXAMPLE
| There are 3 fields of degree n = 4. With discriminant d_F = 725 (as opposed to the possible 1957 or 2777) we may have norms (D, N) = {(1,1),(1,11),(1,19),(1,29)}. There is a unique field of degree n = 5, which has discriminant d_F = 24217, D = 5, N = 1.
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CROSSREFS
| Cf. A143746.
Sequence in context: A003653 A003655 A082823 * A101345 A097404 A020687
Adjacent sequences: A143744 A143745 A143746 * A143748 A143749 A143750
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KEYWORD
| fini,full,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 30 2008
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EXTENSIONS
| Replaced link to cached arXiv URL by link to the abstract - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 01 2010
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