Legendre/Quartic Duadic Sequence Prime Survey Before rotating or adjusting length, we start with a pair of binary sequences The first assigns +1 to powers 4*k,4*k+1 of the primitive element mod p (and -1 to powers 4*k+2,4*k+3) The second is a Legendre sequence Both sequences unimodularize zero entries to ones. (The primitive element is always the reduction modulo p of the smallest positive integer that produces a primitive element in this way.) We are checking the 147 primes that are 1 modulo 4 between 1 and 2000 (inclusive) that produce a sequene of positive length with Truncating/Appending Ratio near: 1.057827 (we try length prime*desired ratio, and round to the nearest integer (rounding 1/2 up) Each sequence is rotated by a fractional rotation as close as possible to (3-2*actual fractional length)/4 to optimize autocorrelation. (we try rotation prime*desired ratio, and round to the nearest integer (rounding 1/2 up) Manifest of Outputs: This summary file: leg-quart-1-to-2000-app-summary.txt Demerit Factors vs. Prime: leg-quart-1-to-2000-app-survey.txt First Column: Underlying Prime p Second Column: Real Part of G(chi)^4/p^2, where chi is a quartic character modulo p Third Column: Autocorrelation Demerit Factor of First Sequence (based on quartics) Fourth Column: Autocorrelation Demerit Factor of Second Sequence (Legendre) Fifth Colum: Crosscorrelation Demerit Factor of Sequence Pair