kg583

class Dock:
    """
    Base class to inherit to implement the loader system
    """
    
    loaders = {}

    def load(self, data):
        """
        Load some data based on the data's type

kg583

c,o,d,e =[      32],[95],      [32,124],[124,32]            ;vars(vars( )         [dir( )[1]])[
dir(vars()    [dir( )[1]])[    136] ]( vars( str)        [dir( str)[56]](      str(1)[:~1],map(
vars(vars(  )[dir()[1]])[dir(  vars( )[dir( )[1]])     [92]],[*c*2,95,*c*    4,95,*c*10,95,*c*3
,95,*c*10, *o*2,*c*10,*o*2,*c* 15,95,*c     *7,95,*   c*3,95,32,10,*d*2,*   c*2,*e,124,*c*8,*e*
  4,* c*   8 ,92,32   ,92,*c*8   ,47,32     ,47,*c*  14,*e*2       ,*c*4,  *e*3,124      ,10,*d
  *2,*o*   2,*e*2,     *c*2,*o    *3,32,     *d*4,* c*3,*o*3               ,*c* 4,
  92,32,   92,*c*2,    47,92,*   c*2,47,32,47,*c*2  ,*o*3,*               c*4,95,
  32,*o*   2,32,*d     *2,*c*3   ,*o*2,*e*3, 124,   10,*d,*               c*2,*o*
  2, *c*   2,*e,32     ,47,32,   95,32,92,*d*4,     *c*2,47               ,32,95,
  32,92,   *c*4,92     ,32,92,   47,*c*             2,92,47               ,32,47,

kg583

from operator import attrgetter
from operator import itemgetter


@itemgetter
@slice
@int
@next
@reversed
@str

kg583

# Cache to accelerate calculation of traces
from functools import cache

# Default power series ring and precision
# May need to increase for large weight traces
R.<q> = PowerSeriesRing(QQ)
PREC = 200

# Gets the coefficient of q^n in f
def coeff(f, n):

kg583

# SageMath code used to calculate maxN(r,2;n) and generate Table 4
# Kevin Gomez -- 8/7/2020

# Rank of a partition p
def rank(p):
  return max(p) - len(p)

# N(r,t;n), the r (mod t) rank counting function
def N(r,t,n):
  return len(list(filter(lambda p: rank(p) % t == r, Partitions(n))))