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lines changed Original file line number Diff line number Diff line change @@ -461,7 +461,7 @@ apery List := HashTable => L -> (
461461 a := 0 ; -- number of keys already filled in A
462462 S := set L + set {0}; -- S will hold all the semigroup elmeents found, including 0
463463
464- -- now look for new Apery set elememts and semigroup elements until
464+ -- now look for new Apery set elements and semigroup elements until
465465 -- all the keys have been filled.
466466 s := m;
467467 while a < m-1 do (
@@ -2797,7 +2797,7 @@ Inputs
27972797 g:ZZ
27982798 genus
27992799 m:ZZ
2800- mutiplicity
2800+ multiplicity
28012801 c:ZZ
28022802 conductor
28032803Outputs
Original file line number Diff line number Diff line change @@ -2805,7 +2805,7 @@ doc ///
28052805 Text
28062806 A vector bundle on a hyperelliptic curve E with
28072807 equation y^2 - (-1)^g * f
2808- can be represeted by it's pushforward V to PP^1,
2808+ can be represented by it's pushforward V to PP^1,
28092809 under the degree 2 map ,
28102810 which will be a vector bundle of twice the rank ,
28112811 together with a matrix
Original file line number Diff line number Diff line change @@ -972,7 +972,7 @@ doc ///
972972 extend
973973 (extend , Permutation, ZZ )
974974 Headline
975- rewrites a permutation as a permution on more symbols
975+ rewrites a permutation as a permutation on more symbols
976976 Usage
977977 extend (w,n)
978978 Inputs
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