conj, arg and det are refused by name, as conjugate is

BREAKING-CHANGES.md

@@ -110,6 +110,21 @@ is `null`. A row with symbols in it is tried at one value of them, and where it
 | `MathS.Equations("ln(x) + ln(y)", "x - y").Solve("x", "y")` | `[[-1, -1], [1, 1]]` | `[[1, 1]]`: `ln(-1) + ln(-1)` is `2 pi i` |
 | `MathS.Equations("sqrt(y) - x", "y - a").Solve("x", "y")` | `[[sqrt(a), (sqrt(a)) ^ 2], [-sqrt(a), (-sqrt(a)) ^ 2]]` | `null`: the second row is a solution only at `a = 0` |
 
+### `conj`, `arg` and `det` are refused by name
+
+**Not silent: these now throw `UnrecognizedFunctionParseException` where they parsed.** A name the parser does not
+know, followed by a bracket, is read as a product, so `arg(z)` was the variable `arg` times `z`, and `arg(z) = 1`
+solved to `{ 1 / arg }`. `conjugate` was already refused by name; `conj` and `arg` are the conjugate and the argument
+as other systems spell them, and `det` is the determinant, which a `Matrix` has as the property `Determinant` but an
+expression cannot call. `re` and `im` are still read as products, as before: two letters is short enough to be a
+variable's name ([#2136](https://github.com/asc-community/AngouriMath/issues/2136)).
+
+| Input | Was (2.6.0) | Now |
+|---|---|---|
+| `"arg(z)".ToEntity()` | `arg * z` | throws `UnrecognizedFunctionParseException` |
+| `"conj(z)".ToEntity()` | `conj * z` | throws `UnrecognizedFunctionParseException` |
+| `"det([[1, 2], [3, 4]])".ToEntity()` | `det * [[1, 2], [3, 4]]` | throws `UnrecognizedFunctionParseException` |
+
 ### A system with more or fewer equations than unknowns is solved or declined
 
 **Not silent: what was an exception is an answer or `null`.** `EquationSystem.Solve` threw

Sources/AngouriMath/Core/Antlr/AngouriMath.g

@@ -634,6 +634,13 @@ atom returns[Entity value]
 
     | 'trunc(' args = function_arguments ')' { $value = NotImplementedFunction("trunc", "rounding functions"); }
     | 'conjugate(' args = function_arguments ')' { $value = NotImplementedFunction("conjugate", "complex conjugate as a symbolic function"); }
+    /* conj and arg are the conjugate and the argument as other systems spell them, and det the
+       determinant, which exists on a matrix but not in an expression. Each was read as a product:
+       arg(z) was arg * z. re and im are left as products, as MissingFunctionNamesRefusedTest
+       records. https://github.com/asc-community/AngouriMath/issues/2136 */
+    | 'conj(' args = function_arguments ')' { $value = NotImplementedFunction("conj", "complex conjugate as a symbolic function"); }
+    | 'arg(' args = function_arguments ')' { $value = NotImplementedFunction("arg", "complex argument as a symbolic function"); }
+    | 'det(' args = function_arguments ')' { $value = NotImplementedFunction("det", "determinant in an expression; a Matrix has the property Determinant"); }
     | 'domain(' args = function_arguments ')' 
         { 
             Assert("domain", 2, $args.list.Count); 

Sources/AngouriMath/Core/Antlr/AngouriMath.tokens

@@ -183,14 +183,17 @@ T__181=182
 T__182=183
 T__183=184
 T__184=185
-NEWLINE=186
-NUMBER=187
-SPECIALSET=188
-BOOLEAN=189
-NAN=190
-VARIABLE=191
-COMMENT=192
-WS=193
+T__185=186
+T__186=187
+T__187=188
+NEWLINE=189
+NUMBER=190
+SPECIALSET=191
+BOOLEAN=192
+NAN=193
+VARIABLE=194
+COMMENT=195
+WS=196
 '!'=1
 '^'=2
 '-'=3
@@ -372,8 +375,11 @@ WS=193
 'Chi('=179
 'trunc('=180
 'conjugate('=181
-'domain('=182
-'piecewise('=183
-'apply('=184
-'lambda('=185
-'NaN'=190
+'conj('=182
+'arg('=183
+'det('=184
+'domain('=185
+'piecewise('=186
+'apply('=187
+'lambda('=188
+'NaN'=193

Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens

@@ -183,14 +183,17 @@ T__181=182
 T__182=183
 T__183=184
 T__184=185
-NEWLINE=186
-NUMBER=187
-SPECIALSET=188
-BOOLEAN=189
-NAN=190
-VARIABLE=191
-COMMENT=192
-WS=193
+T__185=186
+T__186=187
+T__187=188
+NEWLINE=189
+NUMBER=190
+SPECIALSET=191
+BOOLEAN=192
+NAN=193
+VARIABLE=194
+COMMENT=195
+WS=196
 '!'=1
 '^'=2
 '-'=3
@@ -372,8 +375,11 @@ WS=193
 'Chi('=179
 'trunc('=180
 'conjugate('=181
-'domain('=182
-'piecewise('=183
-'apply('=184
-'lambda('=185
-'NaN'=190
+'conj('=182
+'arg('=183
+'det('=184
+'domain('=185
+'piecewise('=186
+'apply('=187
+'lambda('=188
+'NaN'=193