Create and return an mwrank interpreter, with given options.
INPUT:
options - string; passed when starting mwrank. The format is:
-h help prints this info and quits
-q quiet turns OFF banner display and prompt
-v n verbosity sets verbosity to n (default=1)
-o PARI/GP output turns ON extra PARI/GP short output (default is OFF)
-p n precision sets precision to n decimals (default=15)
-b n quartic bound bound on quartic point search (default=10)
-x n n aux number of aux primes used for sieving (default=6)
-l list turns ON listing of points (default ON unless v=0)
-s selmer_only if set, computes Selmer rank only (default: not set)
-d skip_2nd_descent if set, skips the second descent for curves with 2-torsion (default: not set)
-S n sat_bd upper bound on saturation primes (default=100, -1 for automatic)
EXAMPLES:
sage: M = Mwrank('-v 0 -l')
sage: print M('0 0 1 -1 0')
Curve [0,0,1,-1,0] : Rank = 1
Generator 1 is [0:-1:1]; height 0.0511114082399688
Regulator = 0.0511114082399688
Bases: sage.interfaces.expect.Expect
Interface to the Mwrank interpreter.
Start the mwrank console.
EXAMPLE:
sage: mwrank.console() # not tested: expects console input
Program mwrank: ...
Return mwrank’s output for the given input.
INPUT:
Note
If a RuntimeError exception is raised, then the mwrank interface is restarted and the command is retried once.
EXAMPLES:
sage: mwrank.eval('12 3 4 5 6')
'Curve [12,3,4,5,6] :...'
sage: mwrank.eval('[12, 3, 4, 5, 6]')
'Curve [12,3,4,5,6] :...'
sage: mwrank.eval([12, 3, 4, 5, 6])
'Curve [12,3,4,5,6] :...'
sage: mwrank.eval((12, 3, 4, 5, 6))
'Curve [12,3,4,5,6] :...'
Quit the mwrank process using kill -9 (so exit doesn’t dump core, etc.).
INPUT:
EXAMPLES:
sage: m = Mwrank()
sage: e = m('1 2 3 4 5')
sage: m.quit()
Start the mwrank console.
EXAMPLE:
sage: mwrank_console() # not tested: expects console input
Program mwrank: ...
Returns a string suitable for mwrank input, or raises an error.
INPUT:
– one of the following:
- a list or tuple of 5 integers [a1,a2,a3,a4,a6] or (a1,a2,a3,a4,a6)
- a string of the form ‘[a1,a2,a3,a4,a6]’ or ‘a1 a2 a3 a4 a6’ where a1, a2, a3, a4, a6 are integers
OUTPUT:
For valid input, a string of the form ‘[a1,a2,a3,a4,a6]’. For invalid input a ValueError is raised.
EXAMPLES:
A list or tuple of 5 integers:
sage: from sage.interfaces.mwrank import validate_mwrank_input
sage: validate_mwrank_input([1,2,3,4,5])
'[1, 2, 3, 4, 5]'
sage: validate_mwrank_input((-1,2,-3,4,-55))
'[-1, 2, -3, 4, -55]'
sage: validate_mwrank_input([1,2,3,4])
Traceback (most recent call last):
...
ValueError: [1, 2, 3, 4] is not valid input to mwrank (should have 5 entries)
sage: validate_mwrank_input([1,2,3,4,i])
Traceback (most recent call last):
...
ValueError: [1, 2, 3, 4, I] is not valid input to mwrank (entries should be integers)
A string of the form ‘[a1,a2,a3,a4,a6]’ with any whitespace and integers ai:
sage: validate_mwrank_input('0 -1 1 -7 6')
'[0,-1,1,-7,6]'
sage: validate_mwrank_input("[0,-1,1,0,0]\n")
'[0,-1,1,0,0]'
sage: validate_mwrank_input('0\t -1\t 1\t 0\t 0\n')
'[0,-1,1,0,0]'
sage: validate_mwrank_input('0 -1 1 -7 ')
Traceback (most recent call last):
...
ValueError: 0 -1 1 -7 is not valid input to mwrank