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Y#!HY^XL$Y!~%Xf(Hf(fTf/f(vj $f. $f(z f(uHff(L$$$L$\yHY^f([\SHHH@x_7a(s(;LXww0uw~Cs+|g!??@@8@^@@@@&AKAAA2A(;L4BuwsBuwB7Bs6Ch0{CZAC Ƶ;(DlYaRwNDAiAApqAAqqiA{DAA@@P@?CQBWLup#B2 B&"B补A?tA*_{ A]v}ALPEA뇇BAX@R;{`Zj@' @OO:gcdmath domain errormath range erroratan2copysignfmodpowintermediate overflow in fsummath.fsum partials-inf + inf in fsum(di)dO:ldexp(dd)hypotdd|$dd:iscloselogpitauacosacoshasinasinhatanatanhceildegreeserferfcexpm1fabsfactorialfloorfrexpisfiniteisinfisnanlgammalog1plog10log2modfradianssqrttruncmathbrel_tolabs_tol__trunc____floor____ceil__factorial() only accepts integral valuesfactorial() argument should not exceed %ldfactorial() not defined for negative valuestype %.100s doesn't define __trunc__ methodExpected an int as second argument to ldexp.tolerances must be non-negative' @CQB@ƅoٵy@??9@kﴑ[?>@#B ;E@HP?cܥL@9RFߑ?7@i@E@-DT! a@?& .>iW @-DT!@A9B.?0>ffffff??-DT!?!3|@-DT!?-DT! @;B80`аxгpp, P| pdxл0Pp,м@Th0|Ppо@`  LpDP4 X | P @  `< d 0 P p ` P l zRx $@FJ w?:*3$"DȪ\0 pJAI  EI  $ANH@AA$xFNH@AAP  LH S E k E D(4ȳH n J E K [ E D `\H S E k E D شFN0 EG (At K U K \ D \p(KBED D(D@ (D ABBB _ (C ABBI ^ (C ABBJ _ (C ABBI H\p(4@LXdp|$8L`tķ(з8EG  EH lC((EG  AH dC,rEG0k EL  CI $8OH v J FDhOH v J F0dBFA OP  AABD ( FNKP ABG @FBK j BBG N BBF UNB@0̿FBK j BBG N BBF UNB(t$EG@i EF  CF EXP AE LFEB B(A0A8G 8D0A(B BBBF X($BHE D(J0 (D BBBK U (D EBBF a(A BBBHFBB B(A0D8D` 8A0A(B BBBD D\FAA B ABC N ABG M AEE H0e K ^ A < EN@ AB ,`|NH0 G l D o Q d E (FNK`_ ABG `_H H H FOH x H F oH{ M P H F$ iH@HFPRHA@ A 4Hd^BDG@ ABA [ CBH 0FOH D@  DBBD xF8DvV z H D T _ A n J H H UL 4 F0{g0 P <V  K _ A p t H E C k U Q@883i 0 qo 0  p"` oooo<o00@0P0`0p00000000011 101@1P1`1p11111111122 202@2P2`2p22222222233 303@3P3`3p333333trunc(x:Real) -> Integral Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.tanh(x) Return the hyperbolic tangent of x.tan(x) Return the tangent of x (measured in radians).sqrt(x) Return the square root of x.sinh(x) Return the hyperbolic sine of x.sin(x) Return the sine of x (measured in radians).radians(x) Convert angle x from degrees to radians.pow(x, y) Return x**y (x to the power of y).modf(x) Return the fractional and integer parts of x. Both results carry the sign of x and are floats.log2(x) Return the base 2 logarithm of x.log10(x) Return the base 10 logarithm of x.log1p(x) Return the natural logarithm of 1+x (base e). The result is computed in a way which is accurate for x near zero.log(x[, base]) Return the logarithm of x to the given base. If the base not specified, returns the natural logarithm (base e) of x.lgamma(x) Natural logarithm of absolute value of Gamma function at x.ldexp(x, i) Return x * (2**i).isnan(x) -> bool Return True if x is a NaN (not a number), and False otherwise.isinf(x) -> bool Return True if x is a positive or negative infinity, and False otherwise.isfinite(x) -> bool Return True if x is neither an infinity nor a NaN, and False otherwise.isclose(a, b, *, rel_tol=1e-09, abs_tol=0.0) -> bool Determine whether two floating point numbers are close in value. rel_tol maximum difference for being considered "close", relative to the magnitude of the input values abs_tol maximum difference for being considered "close", regardless of the magnitude of the input values Return True if a is close in value to b, and False otherwise. For the values to be considered close, the difference between them must be smaller than at least one of the tolerances. -inf, inf and NaN behave similarly to the IEEE 754 Standard. That is, NaN is not close to anything, even itself. inf and -inf are only close to themselves.hypot(x, y) Return the Euclidean distance, sqrt(x*x + y*y).gcd(x, y) -> int greatest common divisor of x and ygamma(x) Gamma function at x.fsum(iterable) Return an accurate floating point sum of values in the iterable. Assumes IEEE-754 floating point arithmetic.frexp(x) Return the mantissa and exponent of x, as pair (m, e). m is a float and e is an int, such that x = m * 2.**e. If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.fmod(x, y) Return fmod(x, y), according to platform C. x % y may differ.floor(x) Return the floor of x as an Integral. This is the largest integer <= x.factorial(x) -> Integral Find x!. Raise a ValueError if x is negative or non-integral.fabs(x) Return the absolute value of the float x.expm1(x) Return exp(x)-1. This function avoids the loss of precision involved in the direct evaluation of exp(x)-1 for small x.exp(x) Return e raised to the power of x.erfc(x) Complementary error function at x.erf(x) Error function at x.degrees(x) Convert angle x from radians to degrees.cosh(x) Return the hyperbolic cosine of x.cos(x) Return the cosine of x (measured in radians).copysign(x, y) Return a float with the magnitude (absolute value) of x but the sign of y. On platforms that support signed zeros, copysign(1.0, -0.0) returns -1.0. ceil(x) Return the ceiling of x as an Integral. This is the smallest integer >= x.atanh(x) Return the inverse hyperbolic tangent of x.atan2(y, x) Return the arc tangent (measured in radians) of y/x. Unlike atan(y/x), the signs of both x and y are considered.atan(x) Return the arc tangent (measured in radians) of x.asinh(x) Return the inverse hyperbolic sine of x.asin(x) Return the arc sine (measured in radians) of x.acosh(x) Return the inverse hyperbolic cosine of x.acos(x) Return the arc cosine (measured in radians) of x.This module is always available. 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