complicated algebra test: infinite loop

asked 2024-10-23 07:31:21 +0100

ortollj
1341 ●23 ●63 ●98

Hi W11,WSL,UBUNTU 22.04 ,SAGEMATH 10.2

test if zero of complicated algebra value gives infinite loop (if second t value uncommented)

t=-1/6*(1/4)^(1/3)*(3*sqrt(35)*sqrt(3) + 31)^(1/3)*(I*sqrt(3) + 1) - 2/3*(1/4)^(2/3)*(-I*sqrt(3) + 1)/(3*sqrt(35)*sqrt(3) + 31)^(1/3) + 1/3

#t= -1/12*sqrt((36*(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(2/3) + 21*(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(1/3) + 91)/(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(1/3)) - 1/2*sqrt(-(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(1/3) - 91/36/(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(1/3) - 27/2/sqrt((36*(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(2/3) + 21*(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(1/3) + 91)/(1/24*I*sqrt(827)*sqrt(6) + 593/216)^(1/3)) + 7/6) - 1/4

show(t)
if t == 0 :
    print('zero')

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Comments

Is this reproducible for someone else or is it a problem with me?

ortollj ( 2024-10-23 11:36:39 +0100 )edit

Is t.is_zero() any better?

Max Alekseyev ( 2024-10-23 14:57:37 +0100 )edit

@Max Alekseyev no it does not work too, because for you it is ok ? if yes, then, this problem is only due to my configuration ? what SageMath version are you using ?

ortollj ( 2024-10-23 18:49:32 +0100 )edit

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sage: %time t.canonicalize_radical().is_zero() CPU times: user 4.44 s, sys: 45.4 ms, total: 4.49 s Wall time: 3.14 s False sage: %time t.n() CPU times: user 20.6 ms, sys: 29 µs, total: 20.7 ms Wall time: 20.6 ms -1.20465101438222 - 0.876623543196119*I

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