Perform arithmetic between two rings of integers (with different mods) in SAGE

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I'm trying to digitally sign a test message in Sage using DSA (DSS). After running my code, I get:

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_28.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("IyBDaGVjayB0aGUgc2lnbmF0dXJlCmNoZWNrX3NpZyhtLHAscSxnLHIscyx5KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>

  File "/tmp/tmpUuKk65/___code___.py", line 3, in <module>
    exec compile(u'check_sig(m,p,q,g,r,s,y)
  File "", line 1, in <module>

  File "/tmp/tmppjN9Gi/___code___.py", line 7, in check_sig
    u_2 = mod(r*w,q)
  File "element.pyx", line 1701, in sage.structure.element.RingElement.__mul__ (sage/structure/element.c:14531)
  File "coerce.pyx", line 856, in sage.structure.coerce.CoercionModel_cache_maps.bin_op (sage/structure/coerce.c:8169)
TypeError: unsupported operand parent(s) for '*': 'Ring of integers modulo 98007532214006523718033513010741500921668410005086660781341579786663143142637' and 'Ring of integers modulo 44449'

The offending line is: u_2 = mod(r*w,q). I think the issue here is I'm multiplying r and w where:

r = mod(mod(g^k,p),q)
w = mod(1/s,q)

However, these are both mod q. Why can't I perform a multiplication on them? Is there some kind of casting I have to do?

Here's a link to the full (still small) sage sheet: https://i.stack.imgur.com/Pw2qz.png

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