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0004000000F001060004000000F001070004000000F001080004000000F001090004000000F001 0A0004000000F0010B00040000002701FFFF030000000000 }\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0\protect 03.\plain\f3\fs22\cf0 \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}factor(q) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw3390\pich907\picwgoal1921\pichgoal514 010009000003370400000D001C0000000000050000000B0200000000050000000C028B033E0D03 0000001E00030000001E00050000000C0202028207050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 00417269616C00F47740000000F7050A2E7DA8F47786A8F4770100000000003000040000002D01 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0000F001070004000000F001080004000000F001090004000000F0010A0004000000F0010B0004 0000002701FFFF030000000000 }\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0 04. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}indets(q,PolyExpr) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw2995\pich827\picwgoal1697\pichgoal468 0100090000037103000009001C0000000000050000000B0200000000050000000C023B03B30B03 0000001E00030000001E00050000000C02D501A206050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 00417269616C00F477400000007D050A5B7DA8F47786A8F4770100000000003000040000002D01 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}\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0 05. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}reducepol:=proc(p,x,redp) \par \pard\li600\ri1\fi-300\plain\f4\fs22\cf1 local redpol,redlist,pol,n,r; \par begin \par redpol:=poly(redp,[x]); \par n:=degree(redpol); \par pol:=poly(p,[x]); \par redlist:=map(poly2list(-redpol+lmonomial(redpol)),m->[m[1],n-m[2]]); \par while degree(pol)>=n do \par list:=poly2list(pol); \par list:=map(list,m->_if(m[2]>=n, \par ([m[1]*r[1], m[2]-r[2]] $ r in redlist), \par m)); \par pol:=poly(list,[x]); \par end_while; \par return(expr(pol)); \par end_proc: \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}collect(reducepol(q,cos(t),cos(t)^2+sin(t)^2-1),cos(t),expand) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw22468\pich907\picwgoal12737\pichgoal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