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A8F4770100000000003000040000002D010100040000002701FFFF04000000F001020004000000 F001030004000000F001040004000000F001050004000000F001060004000000F0010700040000 00F001080004000000F001090004000000F0010A0004000000F0010B00040000002701FFFF0300 00000000 }\plain\f3\fs22\cf2\protect \par \pard\li50\ri2\plain\f3\fs22\cf2\protect \par \pard\ri4\plain\f4\fs22\cf0 04. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs22\cf1 {\pntext\f1\'b7\tab}ZassenhausSchranke:=proc(a,x,m) \par \pard\li600\ri1\fi-300\plain\f3\fs22\cf1 local n,M,R; \par begin \par n:=degree(a,x); \par M:=max((abs(coeff(a,x,n-k)))^(1/k)/binomial(n,k) $ k=1..n); \par R:=M/(2^(1/n)-1); \par max(binomial(m,k)*R^k $ k=1..n) \par end_proc: \par \pard\ri4\plain\f4\fs22\cf0 05. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs22\cf1 {\pntext\f1\'b7\tab}z:=ZassenhausSchranke(a,x,2) \par \pard\li50\ri6\plain\f3\fs22\cf2\protect 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002701FFFF04000000F001020004000000F0010300040000002701FFFF030000000000 }\plain\f3\fs22\cf2\protect \par \pard\li50\ri2\plain\f3\fs22\cf2\protect \par \pard\ri4\plain\f4\fs22\cf0 07. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs22\cf1 {\pntext\f1\'b7\tab}liste:=[float(ZassenhausSchranke(a,x,m)) $ m=1..4] \par \pard\li50\ri6\plain\f3\fs22\cf2\protect {\pict\wmetafile8\picw10089\pich827\picwgoal5719\pichgoal468 0100090000033803000008001C0000000000050000000B0200000000050000000C023B03692703 0000001E00030000001E00050000000C02D5015816050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 00417269616C00F477400000003B060A567DA8F47786A8F4770100000000003000040000002D01 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\par \pard\li50\ri2\plain\f3\fs22\cf2\protect \par \pard\ri4\plain\f4\fs22\cf0 08. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs22\cf1 {\pntext\f1\'b7\tab}max(liste) \par \pard\li50\ri6\plain\f3\fs22\cf2\protect {\pict\wmetafile8\picw2575\pich827\picwgoal1459\pichgoal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{\pntext\f1\'b7\tab}p:=nextprime(ceil(2*max(liste))) \par \pard\li50\ri6\plain\f3\fs22\cf2\protect {\pict\wmetafile8\picw1411\pich827\picwgoal799\pichgoal468 0100090000033301000005001C0000000000050000000B0200000000050000000C023B03830503 0000001E00030000001E00050000000C02D5012003050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 00417269616C00F477400000003C060A617DA8F47786A8F4770100000000003000040000002D01 020005000000020101000000050000000102FFFFFF00050000002E011800000005000000090200 00000004000000080100001C000000FB0210FF0000000000009001000000010700000054696D65 73204E657720526F6D616E007DA8F47786A8F4770100000000003000040000002D0103000B0000 0026060F000C004D6174685479706500007B000500000009020000FF0007000000210501003400 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