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Unformatted text preview: the separator line and use this to nd a second positive solution of x 214 y 2 = 1. (d) Determine the integers n with  n  12 such that the equation x 214 y 2 = n has an integer solution. (Dont forget the possibility that there could be solutions (x,y) that arent primitive.) 5. For the quadratic form x 229 y 2 do the following things: (a) Draw the separator line and compute the continued fraction for 29. (b) Find the smallest positive integer solution of x 229 y 2 = 1. (c) Find a glidereection symmetry of the separator line and use this to nd the smallest positive integer solution of x 229 y 2 = 1. 6. Compute the periodic separator line for the form x 243 y 2 and use this to nd the continued fraction for 43....
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 '08
 LOZANOROBLEDO
 Math, Algebra, Number Theory

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