Hello,
I am currently working with set partitions and I encountered possible bug
when creating SetPartitions instance with specified partition sizes:
```
sage: SetPartitions(10, [4,3,2,1])
Set partitions of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} with sizes in [4, 3, 2, 1]
```
The above works, but changing the order of sizes gives error:
```
sage: SetPartitions(10, [1,2,3,4])
---------------------------------------------------------------------------
ValueError Traceback (most recent call last)
<ipython-input-4-90164a225d10> in <module>
----> 1 SetPartitions(Integer(10),
[Integer(1),Integer(2),Integer(3),Integer(4)])
/usr/lib/python3/dist-packages/sage/misc/classcall_metaclass.pyx in
sage.misc.classcall_metaclass.ClasscallMetaclass.__call__
(build/cythonized/sage/misc/classcall_metaclass.c:1714)()
332 """
333 if cls.classcall is not None:
--> 334 return cls.classcall(cls, *args, **kwds)
335 else:
336 # Fast version of type.__call__(cls, *args, **kwds)
/usr/lib/python3/dist-packages/sage/combinat/set_partition.py in
__classcall_private__(cls, s, part)
2025 else:
2026 if part not in Partitions(len(s)):
-> 2027 raise ValueError("part must be a partition of
%s"%len(s))
2028 else:
2029 return SetPartitions_setparts(s,
Partition(part))
ValueError: part must be a partition of 10
```
Other orders od partition sizes (other than descending) also gives the same
error:
```
sage: SetPartitions(10, [4,2,3,1])
<the same error as above>
```
Diferent sets also show this behavior:
```
sage: SetPartitions(8, [4,3,1])
<OK>
```
```
sage: SetPartitions(8, [4,3,1])
<Error>
```
The same happens when using sage as a module within Python
I am using Sage version 9.0, using Python 3.8.10.
Operating system is Ubuntu 20.04.3 (64bit)
Best regards,
Ondra
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