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A172444
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Number of prime knots up to nine crossings with determinant 2n+1 and signature 4.
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3
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0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 3, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1
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OFFSET
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0,7
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COMMENTS
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Adapted from Figure 6.6. The prime knots up to nine crossings separated by signature and determinant, p. 146, Cromwell. Third column of A172184.
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REFERENCES
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Peter R. Cromwell, Knots and Links, Cambridge University Press, November 15, 2004.
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LINKS
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EXAMPLE
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a(2) = 1 because the only prime knot with determinant 2*2+1=5 and s=4 is 5_1, the Solomon's seal knot.
a(6) = 2 because the only prime knots with determinant 2*6+1=13 and s=4 are 7_3 and 9_43.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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