(/VERSIONCHECK 2) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Integer| |%Shell|) |%Void|) |INT;writeOMInt|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%String|) |INT;OMwrite;$S;2|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Boolean| |%Shell|) |%String|) |INT;OMwrite;$BS;3|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Integer| |%Shell|) |%Void|) |INT;OMwrite;Omd$V;4|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Integer| |%Boolean| |%Shell|) |%Void|) |INT;OMwrite;Omd$BV;5|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Boolean|) |INT;zero?;$B;6|)) (PUT '|INT;zero?;$B;6| '|SPADreplace| 'ZEROP) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Boolean|) |INT;one?;$B;7|)) (PUT '|INT;one?;$B;7| '|SPADreplace| '(XLAM (|x|) (EQL |x| 1))) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Integer|) |INT;Zero;$;8|)) (PUT '|INT;Zero;$;8| '|SPADreplace| '(XLAM NIL 0)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Integer|) |INT;One;$;9|)) (PUT '|INT;One;$;9| '|SPADreplace| '(XLAM NIL 1)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Integer|) |INT;base;$;10|)) (PUT '|INT;base;$;10| '|SPADreplace| '(XLAM NIL 2)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;copy;2$;11|)) (PUT '|INT;copy;2$;11| '|SPADreplace| '(XLAM (|x|) |x|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;inc;2$;12|)) (PUT '|INT;inc;2$;12| '|SPADreplace| '(XLAM (|x|) (+ |x| 1))) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;dec;2$;13|)) (PUT '|INT;dec;2$;13| '|SPADreplace| '(XLAM (|x|) (- |x| 1))) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Short|) |INT;hash;$Si;14|)) (PUT '|INT;hash;$Si;14| '|SPADreplace| 'SXHASH) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Boolean|) |INT;negative?;$B;15|)) (PUT '|INT;negative?;$B;15| '|SPADreplace| 'MINUSP) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Thing|) |INT;coerce;$Of;16|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;coerce;2$;17|)) (PUT '|INT;coerce;2$;17| '|SPADreplace| '(XLAM (|m|) |m|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;convert;2$;18|)) (PUT '|INT;convert;2$;18| '|SPADreplace| '(XLAM (|x|) |x|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;length;2$;19|)) (PUT '|INT;length;2$;19| '|SPADreplace| 'INTEGER-LENGTH) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Integer| |%Shell|) |%Integer|) |INT;addmod;4$;20|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Integer| |%Shell|) |%Integer|) |INT;submod;4$;21|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Integer| |%Shell|) |%Integer|) |INT;mulmod;4$;22|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Thing|) |INT;convert;$F;23|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%DoubleFloat|) |INT;convert;$Df;24|)) (PUT '|INT;convert;$Df;24| '|SPADreplace| '(XLAM (|x|) (FLOAT |x| |$DoubleFloatMaximum|))) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Thing|) |INT;convert;$If;25|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%String|) |INT;convert;$S;26|)) (PUT '|INT;convert;$S;26| '|SPADreplace| 'STRINGIMAGE) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%String|) |INT;latex;$S;27|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;positiveRemainder;3$;28|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |INT;reducedSystem;2M;29|)) (PUT '|INT;reducedSystem;2M;29| '|SPADreplace| '(XLAM (|m|) |m|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|) |INT;reducedSystem;MVR;30|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;abs;2$;31|)) (PUT '|INT;abs;2$;31| '|SPADreplace| 'ABS) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Integer|) |INT;random;$;32|)) (PUT '|INT;random;$;32| '|SPADreplace| '|random|) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;random;2$;33|)) (PUT '|INT;random;2$;33| '|SPADreplace| 'RANDOM) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|) |INT;=;2$B;34|)) (PUT '|INT;=;2$B;34| '|SPADreplace| 'EQL) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Boolean|) |INT;<;2$B;35|)) (PUT '|INT;<;2$B;35| '|SPADreplace| '<) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;-;2$;36|)) (PUT '|INT;-;2$;36| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;+;3$;37|)) (PUT '|INT;+;3$;37| '|SPADreplace| '+) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;-;3$;38|)) (PUT '|INT;-;3$;38| '|SPADreplace| '-) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;*;3$;39|)) (PUT '|INT;*;3$;39| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;*;3$;40|)) (PUT '|INT;*;3$;40| '|SPADreplace| '*) (DECLAIM (FTYPE (FUNCTION (|%Integer| (|%IntegerSection| 0) |%Shell|) |%Integer|) |INT;**;$Nni$;41|)) (PUT '|INT;**;$Nni$;41| '|SPADreplace| 'EXPT) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Boolean|) |INT;odd?;$B;42|)) (PUT '|INT;odd?;$B;42| '|SPADreplace| 'ODDP) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;max;3$;43|)) (PUT '|INT;max;3$;43| '|SPADreplace| 'MAX) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;min;3$;44|)) (PUT '|INT;min;3$;44| '|SPADreplace| 'MIN) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Pair|) |INT;divide;2$R;45|)) (PUT '|INT;divide;2$R;45| '|SPADreplace| 'DIVIDE2) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;quo;3$;46|)) (PUT '|INT;quo;3$;46| '|SPADreplace| 'QUOTIENT2) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;rem;3$;47|)) (PUT '|INT;rem;3$;47| '|SPADreplace| 'REMAINDER2) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;shift;3$;48|)) (PUT '|INT;shift;3$;48| '|SPADreplace| 'ASH) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Pair|) |INT;recip;$U;49|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Integer| |%Shell|) |%Integer|) |INT;gcd;3$;50|)) (PUT '|INT;gcd;3$;50| '|SPADreplace| 'GCD) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Shell|) |INT;unitNormal;$R;51|)) (DECLAIM (FTYPE (FUNCTION (|%Integer| |%Shell|) |%Integer|) |INT;unitCanonical;2$;52|)) (PUT '|INT;unitCanonical;2$;52| '|SPADreplace| 'ABS) (DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|) |INT;solveLinearPolynomialEquation|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |INT;squareFreePolynomial|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |INT;factorPolynomial|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |INT;factorSquareFreePolynomial|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |INT;gcdPolynomial;3Sup;57|)) (DEFUN |INT;writeOMInt| (|dev| |x| $) (SEQ (COND ((< |x| 0) (SEQ (SPADCALL |dev| (|getShellEntry| $ 13)) (SPADCALL |dev| "arith1" "unary_minus" (|getShellEntry| $ 15)) (SPADCALL |dev| (- |x|) (|getShellEntry| $ 18)) (EXIT (SPADCALL |dev| (|getShellEntry| $ 19))))) ('T (SPADCALL |dev| |x| (|getShellEntry| $ 18)))))) (DEFUN |INT;OMwrite;$S;2| (|x| $) (PROG (|sp| |dev| |s|) (RETURN (SEQ (LETT |s| "" |INT;OMwrite;$S;2|) (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |INT;OMwrite;$S;2|) (LETT |dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 21)) (|getShellEntry| $ 22)) |INT;OMwrite;$S;2|) (SPADCALL |dev| (|getShellEntry| $ 23)) (|INT;writeOMInt| |dev| |x| $) (SPADCALL |dev| (|getShellEntry| $ 24)) (SPADCALL |dev| (|getShellEntry| $ 25)) (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |INT;OMwrite;$S;2|) (EXIT |s|))))) (DEFUN |INT;OMwrite;$BS;3| (|x| |wholeObj| $) (PROG (|sp| |dev| |s|) (RETURN (SEQ (LETT |s| "" |INT;OMwrite;$BS;3|) (LETT |sp| (OM-STRINGTOSTRINGPTR |s|) |INT;OMwrite;$BS;3|) (LETT |dev| (SPADCALL |sp| (SPADCALL (|getShellEntry| $ 21)) (|getShellEntry| $ 22)) |INT;OMwrite;$BS;3|) (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 23)))) (|INT;writeOMInt| |dev| |x| $) (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 24)))) (SPADCALL |dev| (|getShellEntry| $ 25)) (LETT |s| (OM-STRINGPTRTOSTRING |sp|) |INT;OMwrite;$BS;3|) (EXIT |s|))))) (DEFUN |INT;OMwrite;Omd$V;4| (|dev| |x| $) (SEQ (SPADCALL |dev| (|getShellEntry| $ 23)) (|INT;writeOMInt| |dev| |x| $) (EXIT (SPADCALL |dev| (|getShellEntry| $ 24))))) (DEFUN |INT;OMwrite;Omd$BV;5| (|dev| |x| |wholeObj| $) (SEQ (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 23)))) (|INT;writeOMInt| |dev| |x| $) (EXIT (COND (|wholeObj| (SPADCALL |dev| (|getShellEntry| $ 24))))))) (DEFUN |INT;zero?;$B;6| (|x| $) (DECLARE (IGNORE $)) (ZEROP |x|)) (DEFUN |INT;one?;$B;7| (|x| $) (DECLARE (IGNORE $)) (EQL |x| 1)) (DEFUN |INT;Zero;$;8| ($) (DECLARE (IGNORE $)) 0) (DEFUN |INT;One;$;9| ($) (DECLARE (IGNORE $)) 1) (DEFUN |INT;base;$;10| ($) (DECLARE (IGNORE $)) 2) (DEFUN |INT;copy;2$;11| (|x| $) (DECLARE (IGNORE $)) |x|) (DEFUN |INT;inc;2$;12| (|x| $) (DECLARE (IGNORE $)) (+ |x| 1)) (DEFUN |INT;dec;2$;13| (|x| $) (DECLARE (IGNORE $)) (- |x| 1)) (DEFUN |INT;hash;$Si;14| (|x| $) (DECLARE (IGNORE $)) (SXHASH |x|)) (DEFUN |INT;negative?;$B;15| (|x| $) (DECLARE (IGNORE $)) (MINUSP |x|)) (DEFUN |INT;coerce;$Of;16| (|x| $) (SPADCALL |x| (|getShellEntry| $ 45))) (DEFUN |INT;coerce;2$;17| (|m| $) (DECLARE (IGNORE $)) |m|) (DEFUN |INT;convert;2$;18| (|x| $) (DECLARE (IGNORE $)) |x|) (DEFUN |INT;length;2$;19| (|a| $) (DECLARE (IGNORE $)) (INTEGER-LENGTH |a|)) (DEFUN |INT;addmod;4$;20| (|a| |b| |p| $) (PROG (|c| #0=#:G1432) (RETURN (SEQ (EXIT (SEQ (SEQ (LETT |c| (+ |a| |b|) |INT;addmod;4$;20|) (EXIT (COND ((NOT (< |c| |p|)) (PROGN (LETT #0# (- |c| |p|) |INT;addmod;4$;20|) (GO #0#)))))) (EXIT |c|))) #0# (EXIT #0#))))) (DEFUN |INT;submod;4$;21| (|a| |b| |p| $) (PROG (|c|) (RETURN (SEQ (LETT |c| (- |a| |b|) |INT;submod;4$;21|) (EXIT (COND ((< |c| 0) (+ |c| |p|)) ('T |c|))))))) (DEFUN |INT;mulmod;4$;22| (|a| |b| |p| $) (REMAINDER2 (* |a| |b|) |p|)) (DEFUN |INT;convert;$F;23| (|x| $) (SPADCALL |x| (|getShellEntry| $ 56))) (DEFUN |INT;convert;$Df;24| (|x| $) (DECLARE (IGNORE $)) (FLOAT |x| |$DoubleFloatMaximum|)) (DEFUN |INT;convert;$If;25| (|x| $) (SPADCALL |x| (|getShellEntry| $ 62))) (DEFUN |INT;convert;$S;26| (|x| $) (DECLARE (IGNORE $)) (STRINGIMAGE |x|)) (DEFUN |INT;latex;$S;27| (|x| $) (PROG (|s|) (RETURN (SEQ (LETT |s| (STRINGIMAGE |x|) |INT;latex;$S;27|) (COND ((< -1 |x|) (COND ((< |x| 10) (EXIT |s|))))) (EXIT (STRCONC "{" (STRCONC |s| "}"))))))) (DEFUN |INT;positiveRemainder;3$;28| (|a| |b| $) (PROG (|r|) (RETURN (COND ((MINUSP (LETT |r| (REMAINDER2 |a| |b|) |INT;positiveRemainder;3$;28|)) (COND ((MINUSP |b|) (- |r| |b|)) ('T (+ |r| |b|)))) ('T |r|))))) (DEFUN |INT;reducedSystem;2M;29| (|m| $) (DECLARE (IGNORE $)) |m|) (DEFUN |INT;reducedSystem;MVR;30| (|m| |v| $) (CONS |m| '|vec|)) (DEFUN |INT;abs;2$;31| (|x| $) (DECLARE (IGNORE $)) (ABS |x|)) (DEFUN |INT;random;$;32| ($) (DECLARE (IGNORE $)) (|random|)) (DEFUN |INT;random;2$;33| (|x| $) (DECLARE (IGNORE $)) (RANDOM |x|)) (DEFUN |INT;=;2$B;34| (|x| |y| $) (DECLARE (IGNORE $)) (EQL |x| |y|)) (DEFUN |INT;<;2$B;35| (|x| |y| $) (DECLARE (IGNORE $)) (< |x| |y|)) (DEFUN |INT;-;2$;36| (|x| $) (DECLARE (IGNORE $)) (- |x|)) (DEFUN |INT;+;3$;37| (|x| |y| $) (DECLARE (IGNORE $)) (+ |x| |y|)) (DEFUN |INT;-;3$;38| (|x| |y| $) (DECLARE (IGNORE $)) (- |x| |y|)) (DEFUN |INT;*;3$;39| (|x| |y| $) (DECLARE (IGNORE $)) (* |x| |y|)) (DEFUN |INT;*;3$;40| (|m| |y| $) (DECLARE (IGNORE $)) (* |m| |y|)) (DEFUN |INT;**;$Nni$;41| (|x| |n| $) (DECLARE (IGNORE $)) (EXPT |x| |n|)) (DEFUN |INT;odd?;$B;42| (|x| $) (DECLARE (IGNORE $)) (ODDP |x|)) (DEFUN |INT;max;3$;43| (|x| |y| $) (DECLARE (IGNORE $)) (MAX |x| |y|)) (DEFUN |INT;min;3$;44| (|x| |y| $) (DECLARE (IGNORE $)) (MIN |x| |y|)) (DEFUN |INT;divide;2$R;45| (|x| |y| $) (DECLARE (IGNORE $)) (DIVIDE2 |x| |y|)) (DEFUN |INT;quo;3$;46| (|x| |y| $) (DECLARE (IGNORE $)) (QUOTIENT2 |x| |y|)) (DEFUN |INT;rem;3$;47| (|x| |y| $) (DECLARE (IGNORE $)) (REMAINDER2 |x| |y|)) (DEFUN |INT;shift;3$;48| (|x| |y| $) (DECLARE (IGNORE $)) (ASH |x| |y|)) (DEFUN |INT;recip;$U;49| (|x| $) (COND ((OR (EQL |x| 1) (EQL |x| -1)) (CONS 0 |x|)) ('T (CONS 1 "failed")))) (DEFUN |INT;gcd;3$;50| (|x| |y| $) (DECLARE (IGNORE $)) (GCD |x| |y|)) (DEFUN |INT;unitNormal;$R;51| (|x| $) (COND ((< |x| 0) (VECTOR -1 (- |x|) -1)) ('T (VECTOR 1 |x| 1)))) (DEFUN |INT;unitCanonical;2$;52| (|x| $) (DECLARE (IGNORE $)) (ABS |x|)) (DEFUN |INT;solveLinearPolynomialEquation| (|lp| |p| $) (SPADCALL |lp| |p| (|getShellEntry| $ 99))) (DEFUN |INT;squareFreePolynomial| (|p| $) (SPADCALL |p| (|getShellEntry| $ 103))) (DEFUN |INT;factorPolynomial| (|p| $) (PROG (|pp| #0=#:G1498) (RETURN (SEQ (LETT |pp| (SPADCALL |p| (|getShellEntry| $ 104)) |INT;factorPolynomial|) (EXIT (COND ((EQL (SPADCALL |pp| (|getShellEntry| $ 105)) (SPADCALL |p| (|getShellEntry| $ 105))) (SPADCALL |p| (|getShellEntry| $ 107))) ('T (SPADCALL (SPADCALL |pp| (|getShellEntry| $ 107)) (SPADCALL (CONS #'|INT;factorPolynomial!0| $) (SPADCALL (PROG2 (LETT #0# (SPADCALL (SPADCALL |p| (|getShellEntry| $ 105)) (SPADCALL |pp| (|getShellEntry| $ 105)) (|getShellEntry| $ 109)) |INT;factorPolynomial|) (QCDR #0#) (|check-union| (QEQCAR #0# 0) $ #0#)) (|getShellEntry| $ 111)) (|getShellEntry| $ 115)) (|getShellEntry| $ 117))))))))) (DEFUN |INT;factorPolynomial!0| (|#1| $) (SPADCALL |#1| (|getShellEntry| $ 108))) (DEFUN |INT;factorSquareFreePolynomial| (|p| $) (SPADCALL |p| (|getShellEntry| $ 118))) (DEFUN |INT;gcdPolynomial;3Sup;57| (|p| |q| $) (COND ((SPADCALL |p| (|getShellEntry| $ 119)) (SPADCALL |q| (|getShellEntry| $ 120))) ((SPADCALL |q| (|getShellEntry| $ 119)) (SPADCALL |p| (|getShellEntry| $ 120))) ('T (SPADCALL (LIST |p| |q|) (|getShellEntry| $ 123))))) (DEFUN |Integer| () (PROG () (RETURN (PROG (#0=#:G1523) (RETURN (COND ((LETT #0# (HGET |$ConstructorCache| '|Integer|) |Integer|) (|CDRwithIncrement| (CDAR #0#))) ('T (UNWIND-PROTECT (PROG1 (CDDAR (HPUT |$ConstructorCache| '|Integer| (LIST (CONS NIL (CONS 1 (|Integer;|)))))) (LETT #0# T |Integer|)) (COND ((NOT #0#) (HREM |$ConstructorCache| '|Integer|))))))))))) (DEFUN |Integer;| () (PROG (|dv$| $ |pv$|) (RETURN (PROGN (LETT |dv$| '(|Integer|) . #0=(|Integer|)) (LETT $ (|newShell| 138) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) (|haddProp| |$ConstructorCache| '|Integer| NIL (CONS 1 $)) (|stuffDomainSlots| $) (|setShellEntry| $ 80 (|setShellEntry| $ 52 (CONS (|dispatchFunction| |INT;*;3$;40|) $))) $)))) (MAKEPROP '|Integer| '|infovec| (LIST '#(NIL NIL NIL NIL NIL NIL (CONS IDENTITY (FUNCALL (|dispatchFunction| |INT;Zero;$;8|) $)) (|NonNegativeInteger|) (0 . |Zero|) (|Boolean|) |INT;<;2$B;35| (|Void|) (|OpenMathDevice|) (4 . |OMputApp|) (|String|) (9 . |OMputSymbol|) |INT;-;2$;36| (|Integer|) (16 . |OMputInteger|) (22 . |OMputEndApp|) (|OpenMathEncoding|) (27 . |OMencodingXML|) (31 . |OMopenString|) (37 . |OMputObject|) (42 . |OMputEndObject|) (47 . |OMclose|) |INT;OMwrite;$S;2| |INT;OMwrite;$BS;3| |INT;OMwrite;Omd$V;4| |INT;OMwrite;Omd$BV;5| |INT;zero?;$B;6| (CONS IDENTITY (FUNCALL (|dispatchFunction| |INT;One;$;9|) $)) (52 . |One|) |INT;=;2$B;34| |INT;one?;$B;7| |INT;base;$;10| |INT;copy;2$;11| |INT;+;3$;37| |INT;inc;2$;12| |INT;-;3$;38| |INT;dec;2$;13| (|SingleInteger|) |INT;hash;$Si;14| |INT;negative?;$B;15| (|OutputForm|) (56 . |outputForm|) |INT;coerce;$Of;16| |INT;coerce;2$;17| |INT;convert;2$;18| |INT;length;2$;19| |INT;addmod;4$;20| |INT;submod;4$;21| NIL |INT;rem;3$;47| |INT;mulmod;4$;22| (|Float|) (61 . |coerce|) |INT;convert;$F;23| (|DoubleFloat|) (66 . |coerce|) |INT;convert;$Df;24| (|InputForm|) (71 . |convert|) |INT;convert;$If;25| (76 . |string|) |INT;convert;$S;26| (81 . <) (87 . |concat|) |INT;latex;$S;27| |INT;positiveRemainder;3$;28| (|Matrix| 17) (|Matrix| $) |INT;reducedSystem;2M;29| (|Vector| 17) (|Record| (|:| |mat| 70) (|:| |vec| 73)) (|Vector| $) |INT;reducedSystem;MVR;30| |INT;abs;2$;31| |INT;random;$;32| |INT;random;2$;33| NIL |INT;**;$Nni$;41| |INT;odd?;$B;42| |INT;max;3$;43| |INT;min;3$;44| (|Record| (|:| |quotient| $) (|:| |remainder| $)) |INT;divide;2$R;45| |INT;quo;3$;46| |INT;shift;3$;48| (|Union| $ '"failed") |INT;recip;$U;49| |INT;gcd;3$;50| (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) |INT;unitNormal;$R;51| |INT;unitCanonical;2$;52| (|SparseUnivariatePolynomial| 17) (|List| 95) (|Union| 96 '"failed") (|IntegerSolveLinearPolynomialEquation|) (93 . |solveLinearPolynomialEquation|) (|SparseUnivariatePolynomial| $$) (|Factored| 100) (|UnivariatePolynomialSquareFree| $$ 100) (99 . |squareFree|) (104 . |primitivePart|) (109 . |leadingCoefficient|) (|GaloisGroupFactorizer| 100) (114 . |factor|) (119 . |coerce|) (124 . |exquo|) (|Factored| $) (130 . |factor|) (|Mapping| 100 $$) (|Factored| $$) (|FactoredFunctions2| $$ 100) (135 . |map|) (|FactoredFunctionUtilities| 100) (141 . |mergeFactors|) (147 . |factorSquareFree|) (152 . |zero?|) (157 . |unitCanonical|) (|List| 100) (|HeuGcd| 100) (162 . |gcd|) (|SparseUnivariatePolynomial| $) |INT;gcdPolynomial;3Sup;57| (|Fraction| 17) (|Union| 126 '"failed") (|PatternMatchResult| 17 $) (|Pattern| 17) (|Union| 17 '"failed") (|List| $) (|Record| (|:| |coef| 131) (|:| |generator| $)) (|Union| 131 '"failed") (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) (|Record| (|:| |coef1| $) (|:| |coef2| $)) (|Union| 135 '"failed") (|PositiveInteger|)) '#(~= 167 |zero?| 173 |unitNormal| 178 |unitCanonical| 183 |unit?| 188 |symmetricRemainder| 193 |subtractIfCan| 199 |submod| 205 |squareFreePart| 212 |squareFree| 217 |sizeLess?| 222 |sign| 228 |shift| 233 |sample| 239 |retractIfCan| 243 |retract| 248 |rem| 253 |reducedSystem| 259 |recip| 270 |rationalIfCan| 275 |rational?| 280 |rational| 285 |random| 290 |quo| 299 |principalIdeal| 305 |prime?| 310 |powmod| 315 |positiveRemainder| 322 |positive?| 328 |permutation| 333 |patternMatch| 339 |one?| 346 |odd?| 351 |nextItem| 356 |negative?| 361 |multiEuclidean| 366 |mulmod| 372 |min| 379 |max| 385 |mask| 391 |length| 396 |lcm| 401 |latex| 412 |invmod| 417 |init| 423 |inc| 427 |hash| 432 |gcdPolynomial| 437 |gcd| 443 |factorial| 454 |factor| 459 |extendedEuclidean| 464 |exquo| 477 |expressIdealMember| 483 |even?| 489 |euclideanSize| 494 |divide| 499 |differentiate| 505 |dec| 516 |copy| 521 |convert| 526 |coerce| 556 |characteristic| 576 |bit?| 580 |binomial| 586 |base| 592 |associates?| 596 |addmod| 602 |abs| 609 |Zero| 614 |One| 618 |OMwrite| 622 D 646 >= 657 > 663 = 669 <= 675 < 681 - 687 + 698 ** 704 * 716) '((|infinite| . 0) (|noetherian| . 0) (|canonicalsClosed| . 0) (|canonical| . 0) (|canonicalUnitNormal| . 0) (|multiplicativeValuation| . 0) (|noZeroDivisors| . 0) ((|commutative| "*") . 0) (|rightUnitary| . 0) (|leftUnitary| . 0) (|unitsKnown| . 0)) (CONS (|makeByteWordVec2| 1 '(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0)) (CONS '#(|IntegerNumberSystem&| |EuclideanDomain&| |UniqueFactorizationDomain&| NIL NIL |GcdDomain&| |IntegralDomain&| |Algebra&| NIL NIL |DifferentialRing&| |OrderedRing&| NIL NIL |Module&| NIL |Ring&| NIL NIL NIL NIL NIL |AbelianGroup&| NIL NIL NIL |AbelianMonoid&| |Monoid&| NIL NIL |OrderedSet&| |AbelianSemiGroup&| |SemiGroup&| NIL |RetractableTo&| |SetCategory&| NIL NIL NIL NIL NIL NIL NIL NIL NIL NIL |BasicType&| NIL) (CONS '#((|IntegerNumberSystem|) (|EuclideanDomain|) (|UniqueFactorizationDomain|) (|PrincipalIdealDomain|) (|OrderedIntegralDomain|) (|GcdDomain|) (|IntegralDomain|) (|Algebra| $$) (|CharacteristicZero|) (|LinearlyExplicitRingOver| 17) (|DifferentialRing|) (|OrderedRing|) (|CommutativeRing|) (|EntireRing|) (|Module| $$) (|BiModule| $$ $$) (|Ring|) (|OrderedAbelianGroup|) (|LeftModule| $$) (|Rng|) (|RightModule| $$) (|OrderedCancellationAbelianMonoid|) (|AbelianGroup|) (|OrderedAbelianMonoid|) (|CancellationAbelianMonoid|) (|OrderedAbelianSemiGroup|) (|AbelianMonoid|) (|Monoid|) (|StepThrough|) (|PatternMatchable| 17) (|OrderedSet|) (|AbelianSemiGroup|) (|SemiGroup|) (|RealConstant|) (|RetractableTo| 17) (|SetCategory|) (|OpenMath|) (|ConvertibleTo| 14) (|ConvertibleTo| 55) (|ConvertibleTo| 58) (|CombinatorialFunctionCategory|) (|ConvertibleTo| 129) (|ConvertibleTo| 61) (|ConvertibleTo| 17) (|CoercibleFrom| $$) (|CoercibleFrom| 17) (|BasicType|) (|CoercibleTo| 44)) (|makeByteWordVec2| 137 '(0 7 0 8 1 12 11 0 13 3 12 11 0 14 14 15 2 12 11 0 17 18 1 12 11 0 19 0 20 0 21 2 12 0 14 20 22 1 12 11 0 23 1 12 11 0 24 1 12 11 0 25 0 7 0 32 1 44 0 17 45 1 55 0 17 56 1 58 0 17 59 1 61 0 17 62 1 14 0 17 64 2 17 9 0 0 66 2 14 0 0 0 67 2 98 97 96 95 99 1 102 101 100 103 1 100 0 0 104 1 100 2 0 105 1 106 101 100 107 1 100 0 2 108 2 0 89 0 0 109 1 0 110 0 111 2 114 101 112 113 115 2 116 101 101 101 117 1 106 101 100 118 1 100 9 0 119 1 100 0 0 120 1 122 100 121 123 2 0 9 0 0 1 1 0 9 0 30 1 0 92 0 93 1 0 0 0 94 1 0 9 0 1 2 0 0 0 0 1 2 0 89 0 0 1 3 0 0 0 0 0 51 1 0 0 0 1 1 0 110 0 1 2 0 9 0 0 1 1 0 17 0 1 2 0 0 0 0 88 0 0 0 1 1 0 130 0 1 1 0 17 0 1 2 0 0 0 0 53 2 0 74 71 75 76 1 0 70 71 72 1 0 89 0 90 1 0 127 0 1 1 0 9 0 1 1 0 126 0 1 0 0 0 78 1 0 0 0 79 2 0 0 0 0 87 1 0 132 131 1 1 0 9 0 1 3 0 0 0 0 0 1 2 0 0 0 0 69 1 0 9 0 1 2 0 0 0 0 1 3 0 128 0 129 128 1 1 0 9 0 34 1 0 9 0 82 1 0 89 0 1 1 0 9 0 43 2 0 133 131 0 1 3 0 0 0 0 0 54 2 0 0 0 0 84 2 0 0 0 0 83 1 0 0 0 1 1 0 0 0 49 2 0 0 0 0 1 1 0 0 131 1 1 0 14 0 68 2 0 0 0 0 1 0 0 0 1 1 0 0 0 38 1 0 41 0 42 2 0 124 124 124 125 2 0 0 0 0 91 1 0 0 131 1 1 0 0 0 1 1 0 110 0 111 2 0 134 0 0 1 3 0 136 0 0 0 1 2 0 89 0 0 109 2 0 133 131 0 1 1 0 9 0 1 1 0 7 0 1 2 0 85 0 0 86 1 0 0 0 1 2 0 0 0 7 1 1 0 0 0 40 1 0 0 0 36 1 0 14 0 65 1 0 58 0 60 1 0 55 0 57 1 0 61 0 63 1 0 129 0 1 1 0 17 0 48 1 0 0 17 47 1 0 0 0 1 1 0 0 17 47 1 0 44 0 46 0 0 7 1 2 0 9 0 0 1 2 0 0 0 0 1 0 0 0 35 2 0 9 0 0 1 3 0 0 0 0 0 50 1 0 0 0 77 0 0 0 6 0 0 0 31 3 0 11 12 0 9 29 2 0 14 0 9 27 2 0 11 12 0 28 1 0 14 0 26 1 0 0 0 1 2 0 0 0 7 1 2 0 9 0 0 1 2 0 9 0 0 1 2 0 9 0 0 33 2 0 9 0 0 1 2 0 9 0 0 10 2 0 0 0 0 39 1 0 0 0 16 2 0 0 0 0 37 2 0 0 0 7 81 2 0 0 0 137 1 2 0 0 0 0 52 2 0 0 17 0 80 2 0 0 7 0 1 2 0 0 137 0 1))))) '|lookupComplete|)) (MAKEPROP '|Integer| 'NILADIC T)