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GF.m2
GF 25 assert( 24 == # unique apply(24, i -> a^i) ) debug Core GF 97^2 [x] assert ( toString x == "x" ) rawPairs(raw coefficientRing class x,raw x) GF 101^2 [x] assert ( toString x == "x" ) rawPairs(raw coefficientRing class x,raw x) -- This works in 1.1 debug Core R = ZZ/101[a]/(a^2+47*a-26) toField R K = GF R S = K[x] assert(toString promote(a,S) == "a") raw promote(a,S) -- now it works -- git issue 978 FIXED rands = for i from 1 to 10 list toString ( k = GF(81); random(k^2, k^2) ) assert(# unique rands > 1) end-- ------------------------------------ gives (gave) this: fixed 11/7/08 i1 : debug Core i2 : GF 97^2 [x] o2 = GF 9409[x] o2 : PolynomialRing i3 : assert ( toString x == "x" ) i4 : rawPairs(raw coefficientRing class x,raw x) o4 = (1 : (1), 1 : (a)) o4 : Sequence i5 : GF 101^2 [x] o5 = GF 10201[x] o5 : PolynomialRing i6 : assert ( toString x == "x" ) stdio:6:1:(2):[3]: error: assertion failed i7 : rawPairs(raw coefficientRing class x,raw x) o7 = (1 : (1), 1 : (1)) o7 : Sequence The difference between the two fields is that the larger one is constructed without using rawGaloisField
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