Hello here,

Can you explain me this:

==

└─$ jlfricas
Checking for foreign routines
FRICAS="/usr/local/lib/fricas/target/x86_64-linux-gnu"
spad-lib="/usr/local/lib/fricas/target/x86_64-linux-gnu/lib/libspad.so"
foreign routines found
openServer result 0
                       FriCAS Computer Algebra System
          Version: jlFriCAS 1.3.12-dev built with SBCL 2.5.2.debian
                 Timestamp: Wed Apr 16 09:50:54 AM CEST 2025
-----------------------------------------------------------------------------
   Issue )copyright to view copyright notices.
   Issue )summary for a summary of useful system commands.
   Issue )quit to leave FriCAS and return to shell.
-----------------------------------------------------------------------------


(1) -> jnecf (-2/3)

   (1)  -0.666667 {-2/3}

         Type: NMExactCalciumField

Time: 0.13 (EV) + 3.88 (OT) = 4.01 sec
(2) -> sqrt %

   (2)  0.816497*I {(a)/3 where a = 2.44949*I [a^2+6=0]}

         Type: NMExactCalciumField

                    Time: 0.01 sec
(3) -> sin %

   (3)
  0.910291*I {(-a^2*c+c)/(2*a) where a = 0.441977 [Exp(-0.816497
{(b*c)/3})], b = 2.44949*I [b^2+6=0], c = I [c^
  2+1=0]}

         Type: NMExactCalciumField

        Time: 0.02 (EV) = 0.02 sec

(4) -> asin %

   (4)  0.816497*I {(a)/3 where a = 2.44949*I [a^2+6=0]}

         Type: NMExactCalciumField

        Time: 0.02 (EV) = 0.02 sec
(5) -> %^2

   (5)  -0.666667 {-2/3}

         Type: NMExactCalciumField

                    Time: 0.02 sec
(6) -> -2/3

          2
   (6)  - -
          3

           Type: Fraction(Integer)

                       Time: 0 sec
(7) -> sqrt %

         +---+
         |  2
   (7)   |- -
        \|  3

             Type: AlgebraicNumber

        Time: 0.03 (OT) = 0.03 sec
(8) -> sin %

             +---+
             |  2
   (8)  sin( |- - )
            \|  3

         Type: Expression(Integer)

                       Time: 0 sec
(9) -> asin %

                  +---+
                  |  2
   (9)  asin(sin( |- - ))
                 \|  3

         Type: Expression(Integer)

                       Time: 0 sec
(10) -> %^2

                   +---+  2
                   |  2
   (10)  asin(sin( |- - ))
                  \|  3

         Type: Expression(Integer)

                       Time: 0 sec
(11) ->

Is it related to complex number handling or the fact that EXPR(INT) is used
a lot (algebraic number for example). Or I am totally wrong.

Greg

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