diff --git a/lib/dicthf.gi b/lib/dicthf.gi
index 5ee7341..e4349ac 100644
--- a/lib/dicthf.gi
+++ b/lib/dicthf.gi
@@ -152,16 +152,37 @@ end);
##
InstallMethod(SparseIntKey,"for bounded tuples",true,
[ IsList,IsList and IsCyclotomicCollection ], 0,
-function(m,v)
-local c;
- if Length(m)<>3 or m[1]<>"BoundedTuples" then
+function(m, v)
+ if Length(m)<> 3 or m[1]<>"BoundedTuples" then
TryNextMethod();
fi;
- c:=[1,Maximum(m[2])+1];
- return function(a)
- return a*c;
+ # Due to the way BoundedTuples are presently implemented we expect the input
+ # to the hash function to always be a list of positive immediate integers. This means
+ # that using HashKeyWholeBag should be safe.
+ return function(x)
+ Assert(1, IsPositionsList(x));
+ if not IsPlistRep(x) then
+ x := AsPlist(x);
+ fi;
+ return HashKeyWholeBag(x, 1);
end;
+ # alternative code w/o HashKeyBag
+ ## build a weight vector to distinguish lists. Make entries large while staying clearly within
+ ## immediate int (2^55 replacing 2^60, since we take subsequent primes).
+ #step:=NextPrimeInt(QuoInt(2^55,Maximum(m[2])*m[3]));
+ #weights:=[1];
+ #len:=Length(v);
+ ## up to 56 full, then increasingly reduce
+ #len:=Minimum(len,8*RootInt(len));
+ #while Length(weights)<len do
+ # Add(weights,weights[Length(weights)]+step);
+ # step:=NextPrimeInt(step);
+ #od;
+ #return function(a)
+ # return a*weights;
+ #end;
+
end);
BindGlobal( "SparseIntKeyVecListAndMatrix", function(d,m)
diff --git a/lib/oprt.gi b/lib/oprt.gi
index c1def0b..00e2953 100644
--- a/lib/oprt.gi
+++ b/lib/oprt.gi
@@ -3565,6 +3565,7 @@ InstallMethod(DomainForAction,"permutations on lists of integers",true,
function(pnt,acts,act)
local m;
if not (Length(pnt)>0 and ForAll(pnt,IsPosInt) and
+ ForAll(acts,IsPerm) and
(act=OnSets or act=OnPoints or act=OnRight or act=\^)) then
TryNextMethod();
fi;
diff --git a/lib/vecmat.gi b/lib/vecmat.gi
index 017c3c6..93ba828 100644
--- a/lib/vecmat.gi
+++ b/lib/vecmat.gi
@@ -2142,7 +2142,8 @@ InstallMethod(DomainForAction,"matrix/matrix",IsElmsCollsX,
function(pnt,acts,act)
local l,f;
if (not ForAll(acts,IsMatrix)) or
- (act<>OnPoints and act<>OnSubspacesByCanonicalBasis and act<>OnRight) then
+ (act<>OnPoints and act<>OnSubspacesByCanonicalBasis and act<>OnRight and act<>OnSets and
+ act<>OnTuples) then
TryNextMethod(); # strange operation, might extend the domain
fi;
l:=NaturalActedSpace(acts,pnt);
diff --git a/tst/testbugfix/2024-09-14-actdomain.tst b/tst/testbugfix/2024-09-14-actdomain.tst
new file mode 100644
index 0000000..84f8b50
--- /dev/null
+++ b/tst/testbugfix/2024-09-14-actdomain.tst
@@ -0,0 +1,85 @@
+# Fix #5786 and error reported by Len Soicher in support list
+gap> gg:=SpecialUnitaryGroup(4,2);;
+gap> hl:=Z(2)*[
+> [0,0,1,0],
+> [1,1,0,0],
+> [0,1,0,1],
+> [0,1,1,0],
+> [1,1,0,1]];;
+gap> o:=Orbit(gg,Set(hl),OnSets);;
+gap> Length(o);
+216
+gap> set:=[ 1,10,15,24,29,33,38,40,44,59, 60, 63, 69, 74, 77,79,85, 86, 90,
+> 95, 99, 103, 105, 110, 122, 125, 143, 148, 149, 153, 162, 165, 174, 182,
+> 185, 191, 197, 198, 202, 218, 223, 227, 228, 235, 236, 240, 243, 248,
+> 254,
+> 256, 259, 270, 275, 288, 291, 295, 298, 302, 305, 310, 312, 315, 325,
+> 329,
+> 333, 340, 341, 350, 356, 366, 369, 381, 385, 390, 397, 402, 412, 414,
+> 419,
+> 421, 425, 428, 433, 436, 445, 447, 451, 452, 453, 454, 461, 466, 474,
+> 479,
+> 481, 489, 490, 493, 497, 507, 509, 512, 513, 519, 521 ];;
+gap> gp:=Group(
+> ( 1,340,124,306,216,492,100, 25,108,270,220,332)( 2,138, 54,161,132,159,198,
+> 336,439,269, 89,419)( 3,467,177,404,505,437,379,312,481,271,223,135)
+> ( 4,510, 79,504,259,234,378,251,272,268,360,303)( 5,278,176,191,231,275,263,
+> 190,230,146,265,192)( 6,486,126,523,490,448,375,237,288,400,243,329)
+> ( 7,131,123,516, 48,392,350,333,418, 16,139,175)( 8,289,125,386,241, 29,376,
+> 334,242,417,442,331)( 9,430, 32, 59,446,367,377,335,411,416,515,330)
+> ( 10,391, 56,407,475,414,200,328,165,473, 86,119)( 11,368, 35,390,522,408,199,
+> 415,440,326, 87,503)( 12,412, 55,457,399,245,201, 33,438,431, 88,317)
+> ( 13,471, 40,348,452,292, 43,346,373, 77, 41,347)( 14,137,174,162, 60, 69,321,
+> 487, 61,158,322,370)( 15,101,114,109,130,160,488,489,352,351,420, 17)
+> ( 18,339,167,290,202,385, 99, 22, 90,323,217,129)( 19, 26, 93,304, 96,342)
+> ( 20,338,166,305,215,141, 97, 24, 51,150,219,507)( 21,337, 63,186,214,424, 98,
+> 23,107,382,218,349)( 27, 91,445,451,525, 67,519,239,144,203,155,353)
+> ( 28,324,444,128, 70,428,496,238,286,300,283, 64)( 30,236,287,441,387,354)
+> ( 31,345,366,517, 45,344,413,521, 46,248,244,121)( 34,314,394,402,222,447, 81,
+> 282,262,173,246,435)( 36,482,178,364,148,495,179,363,140,102,113,111)
+> ( 37,253,273,168,294,302,226,183, 72,480,154,233)( 38,483,520,393,403,465,362,
+> 298,143,356,153,369)( 39,157,320,472)( 42,228,277,264)( 44,343,147,501)
+> ( 47, 73,308,380,184,389,310,327,163,295,151,425)( 49,221,456, 80,474,260,405,
+> 325,164,524,152,449)( 50,479,365,477,461,459,497,169,296,247,134,117)
+> ( 52,361,299,285,355,188,423,464,434,453,133,118)( 53,257,509, 68,511,458,293,
+> 204,384,374, 75, 82)( 57,116,112,149,514,396,470,485,493,249,421,120)
+> ( 58,500,266,250,429,122)( 62,156,319,311)( 65,187,225,357,127, 71,388,235,
+> 460,252,274,371)( 66,106,462,291,205,383,372, 76, 92,410,280,498)
+> ( 74,401,381,476,409,281,171,104,297,307,426,182)( 78, 84,261,256,180,436,512,
+> 313,181,491,224,499)( 83,466,255,508,506,395,469,422,142,103,115,110)
+> ( 85,468,258,502,267,136)( 94,341)( 95,211)(105,478,195,432,518,316,197,484,
+> 494,455,196,170)(145,513,359,232,227,254)(172,209,398,207,279,206)
+> (185,194,309,443)(189,406,463,318,450,427,433,454,315,301,284,358)
+> (193,229,276,240)(208,397)(210,213,212)
+> ,( 1,379,148, 48,128,430,416)( 2, 34,338, 35,235,131,521)( 3,512,352, 47,
+> 318,289,237)( 4,272,506, 49,434,486,282)( 5,524,485, 10,483,340, 55)
+> ( 6,458, 36,487, 60,121, 16)( 7,313,140,336,127,435,270)( 8, 85,147,489,
+> 98,201,417)( 9,469, 94,488,129,329,400)( 11,291, 26, 54,234,473,169)
+> ( 12,207,339, 56,233,503,515)( 13,426,337, 40,232,295,500)( 14, 32,414, 27,
+> 167,130,472)( 15, 33,188, 38,382,109,501)( 17, 31,459, 37,496,132,517)
+> ( 18,263,294,446,451,134,497)( 19,198,525,241,441,244,470)( 20,100,199,490,
+> 242,429,413)( 21,378,403,216,523,421, 58)( 22,124,159, 77, 63,123,292)
+> ( 23,176,275,431,168, 86,293)( 24,177,492,326,104,151,290)( 25, 79,437,269,
+> 163,152,144)( 28,462,150,162, 62,120,415)( 29,239, 83,311, 61,117,260)
+> ( 30,452,149,370, 39,122,389)( 41,468, 73,254,277,432,371)( 42,210,319,502,
+> 373,205,283)( 43,387,194,212,320,508, 99)( 44,396,349,331,399,250,420)
+> ( 45,411,461,375,475,377,418)( 46,344,409,519,522,477,419)( 50,253,278,433,
+> 231, 88,422)( 51,482,138,358,229,463,381)( 52, 91,467,221,230,518,484)
+> ( 53,390,510,494,228,454, 92)( 57,310,460,118,259,367,363)( 59,281,227,274,
+> 505,402,215)( 64,125,245, 76, 93,160,471)( 65,126,408, 75,166, 69,264)
+> ( 66,302,186,116,257,424,327)( 67,187,297,479,217,425,171)( 68,303,296,345,
+> 280,226,273)( 70,240,359,366,364, 97,200)( 71,265,360,394,393,133,423)
+> ( 72,251,146,164,268, 87,312)( 74,252,276,406,513, 89,181)( 78,395,158,185,
+> 315,287,333)( 80,136,351,156,316,286,334)( 81,511,350,184,317,288,335)
+> ( 82,261,392,183,105,309,238)( 84,224,439,182,284,193,236)( 90,466,391,357,
+> 443,170,465)( 95,321,509,353,203,243,197)( 96,516,498,354,300,246,401)
+> (101,405,453,464,154,112,341)(102,139,450,208,388,365,111)(103,440,520,285,
+> 192,266,343)(106,308,218,119,262,448,298)(107,219,368,356,442,301,209)
+> (108,514,412,355,376,474,222)(110,495,137,478,361,444,380)(113,255,342,175,
+> 173,247,305)(114,256,141,328,153,307,304)(115,258,385,325,172,214,306)
+> (135,493,157,455,362,445,407)(142,346,189,398,323,161,499)(143,190,145,436,
+> 271,165,314)(155,195,211,174,404,374,204)(178,507,332,330,248,249,179)
+> (180,372,202,386,196,213,322)(191,267,491,384,438,279,225)(206,428,299,369,
+> 480,220,449)(223,481,383,427,397,324,504)(347,457,447,410,348,456,476));;
+gap> Length(Orbit(gp,set,OnSets));
+241920
diff --git a/tst/teststandard/hash2.tst b/tst/teststandard/hash2.tst
index 6bfa4d3..d47452e 100644
--- a/tst/teststandard/hash2.tst
+++ b/tst/teststandard/hash2.tst
@@ -32,4 +32,8 @@ gap> Length(Orbit(h,h.1[1],OnRight));
2079
gap> Length(Orbit(h,h.2^5,OnPoints));
693
+gap> Length(Orbit(SymmetricGroup(14), [1 .. 7], OnSets));
+3432
+gap> Length(Orbit(SymmetricGroup(16), [1 .. 8], OnSets));
+12870
gap> STOP_TEST( "hash2.tst", 1);