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Factorization: Insufficient prec in Round Four main loop

Factorization(
    f: (1 + O($.1))*$.1^40 + ($.1^3 + O($.1^4))*$.1^39 + ($.1^-11 +...
)
ExactpAdics_ExecutePrecisionStrategy(
    cb: function(pr) ... end function,
    strategy: [* 100, <limit, Infinity>, <randomize, true>, <double> *]
)
[/home/haluk/ExactpAdics/Factorization.mag:56](
    pr: 382
)
Factorization: Insufficient prec in Round Four main loop

Warning (get_approx): Field not known to required precision.

If you get a message like this:

Warning (get_approx): Field not known to required precision. Can apply workaround: 23028, Infinity except (0->20694, 1->20694, 2->20694)
Note: you can suppress future warnings with ExactpAdics_SetWarningAction("get_approx", "Ignore")

then the code has run into a bug which, as far as I can tell, is due to an issue with Magma's arbitrary-precision p-adic fields. It can be worked around, but potentially with some performace penalty, which is why it is only a warning. As the message says, you can use ExactpAdics_SetWarningAction to suppress this message.

Factorization hangs

Occasionally Factorization hangs. It appears to always be an issue in Magma's own Factorization routine, which sometimes gets into an infinite loop.

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