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E8FromStrat.py
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E8FromStrat.py
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import math
from collections import Counter
import itertools
import re
from tensor_wedge import wedge2
from compare import checker
from compare import order
from compare import expand
from tensor_wedge import latex
from compare import dimChecker
from compare import classifyIncomplete
#from compare import classifyIncomplete2
from compare import classify
from compare import perm
from tensor_wedge import concat
from remove_tensor_A1 import removeFirstA1
from remove_tensor_A1 import removeA1
from remove_tensor_A1 import diagA1
from tensor_wedge import printLE8
def lambda2fct(test):
soltest=[]
for i in range(0,len(test)):
if test[i][0]==0:
x=(test[i][1],)
for j in range(2,len(test[i])):
x=x+(test[i][j],)
soltest.append(x)
return(soltest)
def lambda5fct(test):
soltest=[]
for i in range(0,len(test)):
if test[i][0]==1:
x=(test[i][1],)
for j in range(2,len(test[i])):
x=x+(test[i][j],)
soltest.append(x)
return(soltest)
###############################################################
###############################################################
###########A18
###############################################################
###############################################################
a=expand("[(2,0,0,0,0,0,0,0)/(0,2,0,0,0,0,0,0)/(0,0,2,0,0,0,0,0)/(0,0,0,2,0,0,0,0)/(0,0,0,0,2,0,0,0)/(0,0,0,0,0,2,0,0)/(0,0,0,0,0,0,2,0)/(0,0,0,0,0,0,0,2)/(1,1,1,1,0,0,0,0)/(1,1,0,0,1,1,0,0)/(1,1,0,0,0,0,1,1)/(1,0,1,0,1,0,0,1)/(1,0,1,0,0,1,1,0)/(1,0,0,1,1,0,1,0)/(1,0,0,1,0,1,0,1)/(0,0,1,1,1,1,0,0)/(0,0,1,1,0,0,1,1)/(0,0,0,0,1,1,1,1)/(0,1,1,0,1,0,0,1)/(0,1,1,0,0,1,1,0)/(0,1,0,1,1,0,1,0)/(0,1,0,1,0,1,0,1)]")
print("A18")
basisA18=[[0]]
basisA18.append(a)
###############################################################
###############################################################
###########A17
###############################################################
###############################################################
a=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
orderList = order(7)
basisA17=[[0]]
#We make the basis from basis of A18
a[0]=removeA1(basisA18[1],2)
a[1]=removeA1(basisA18[1],3)
a[2]=diagA1(basisA18[1],2,3)
a[3]=diagA1(basisA18[1],3,4)
a[4]=diagA1(basisA18[1],3,5)
a[5]=diagA1(basisA18[1],1,2)
basisA17.append(a[0])
basisA17.append(a[1])
basisA17.append(a[2])
basisA17.append(a[3])
basisA17.append(a[4])
basisA17.append(a[5])
for i in range(1,1):
print(i)
print(latex(basisA17[i]))
#In D8
a[1]=expand("[(1,1,0,0,0,0,0)/(0,0,1,1,0,0,0)/(0,0,0,0,1,1,0)/(0,0,0,0,0,1)^2]")
a[2]=expand("[(1,1,0,0,0,0,0)/(0,0,1,1,0,0,0)/(0,0,0,0,1,1,0)/(0,0,0,0,0,2)/(0,0,0,0,0,0,0)]")
orderList=order(7)
#print("In D8")
w=[0,0,0,0,0]
w[1]=expand("[(2,0,0,0,0,0,0)/(0,2,0,0,0,0,0)/(1,1,1,1,0,0,0)/(1,1,0,0,1,1,0)/(1,1,0,0,0,0,1)^2/(0,0,2,0,0,0,0)/(0,0,0,2,0,0,0)/(0,0,1,1,1,1,0)/(0,0,1,1,0,0,1)^2/(0,0,0,0,2,0,0)/(0,0,0,0,0,2,0)/(0,0,0,0,1,1,1)^2/(0,0,0,0,0,0,2)/(0,0,0,0,0,0,0)^3]")
w[2]=expand("[(2,0,0,0,0,0,0)/(0,2,0,0,0,0,0)/(1,1,1,1,0,0,0)/(1,1,0,0,1,1,0)/(1,1,0,0,0,0,2)/(1,1,0,0,0,0,0)/(0,0,2,0,0,0,0)/(0,0,0,2,0,0,0)/(0,0,1,1,1,1,0)/(0,0,1,1,0,0,2)/(0,0,1,1,0,0,0)/(0,0,0,0,2,0,0)/(0,0,0,0,0,2,0)/(0,0,0,0,1,1,2)/(0,0,0,0,1,1,0)/(0,0,0,0,0,0,2)^2]")
#print(classifyIncomplete(w[1],basisA17,orderList))
#print(classifyIncomplete(w[2],basisA17,orderList))
###############################################################
###############################################################
###########A16
###############################################################
###############################################################
orderList = order(6)
a=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
additional = []
basisA16 =[[0]]
#in A1E7
a[1]=expand("[(0,1,0,2,0,1)/(0,0,1,2,1,0)/(0,0,0,1,1,2)/(0,0,1,1,0,2)/(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)^2/(0,0,0,0,2,0)/(0,0,0,0,0,2)^2/(0,1,1,1,0,1)/(0,1,1,0,1,1)/(0,1,0,1,1,1)/(0,1,0,0,0,1)/(0,0,1,0,1,0)/(0,0,1,1,0,0)/(0,0,0,1,1,0)/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,1,1,0)/(1,1,0,0,0,2)/(1,1,0,0,0,0)/(1,0,1,1,0,1)/(1,0,1,0,1,1)/(1,0,0,2,0,1)/(1,0,0,0,0,1)/(1,0,0,1,1,1)]")
#a[1]=expand("[(1,1,1,1,0,0)/(1,1,0,1,1,0)/(1,1,0,0,1,1)/(2,0,0,0,0,0)/(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)^2/(0,0,1,2,1,0)/(0,0,1,0,1,0)/(0,0,1,1,1,1)/(0,0,0,0,2,0)^2/(0,0,0,1,2,1)/(0,0,0,1,0,1)/(0,0,0,0,0,2)/(1,0,1,1,0,1)/(1,0,1,0,2,0)/(1,0,1,0,0,0)/(1,0,0,2,1,0)/(1,0,0,0,1,0)/(1,0,0,1,1,1)/(0,1,1,1,0,1)/(0,1,1,0,2,0)/(0,1,1,0,0,0)/(0,1,0,2,1,0)/(0,1,0,0,1,0)/(0,1,0,1,1,1)]")
a[2]=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,1,1,1,1)/(0,1,1,0,1,0)^2/(0,1,1,0,0,1)^2/(0,1,0,1,1,0)^2/(0,1,0,1,0,1)^2/(0,0,1,1,0,0)^4/(0,0,0,0,1,1)^4/(0,0,0,0,0,0)^6/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,0,1,1)/(1,1,0,0,0,0)^4/(1,0,1,0,1,0)^2/(1,0,0,1,1,0)^2/(1,0,1,0,0,1)^2/(1,0,0,1,0,1)^2]")
a[3]=expand("[(0,0,6,0,0,0)/(0,0,4,0,0,2)/(0,0,4,1,1,0)/(0,1,3,1,0,1)/(0,1,3,0,1,1)/ (0,0,0,1,1,2)/(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(2,0,0,0,0,0)/(1,1,4,0,0,0)/(1,1,0,1,1,0)/(1,1,0,0,0,2)/(1,0,3,1,0,1)/(1,0,3,0,1,1)]")
a[4]=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)^3/(0,0,0,0,0,2)^3/ (0,0,0,0,2,2)/(0,0,1,1,2,0)/(0,0,1,1,0,2)/(0,1,1,0,1,1)^2/(0,1,0,1,1,1)^2/(0,0,1,1,0,0)^2/(0,0,0,0,0,0)/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,0,2,0)/(1,1,0,0,0,2)/(1,1,0,0,0,0)^2/(1,0,1,0,1,1)^2/(1,0,0,1,1,1)^2]")
a[4]=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)^3/(0,0,0,0,0,2)^3/(0,0,0,0,2,2)/(0,0,1,1,2,0)/(0,0,1,1,0,2)/(0,1,1,0,1,1)^2/(0,1,0,1,1,1)^2/(0,0,1,1,0,0)^2/(0,0,0,0,0,0)/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,0,2,0)/(1,1,0,0,0,2)/(1,1,0,0,0,0)^2/(1,0,1,0,1,1)^2/(1,0,0,1,1,1)^2]")
#a[4]=expand("[(2,0,0,0,0)/(0,2,0,0,0)/(0,0,2,0,0)/(0,0,0,2,0)^3/(0,0,0,0,2)^3/ (0,0,0,2,2)/(0,1,1,2,0)/(0,1,1,0,2)/(1,1,0,1,1)^2/(1,0,1,1,1)^2/(0,1,1,0,0)^2/(0,0,0,0,0)]")
a[5]=expand("[(0,0,0,0,1,3)/(0,1,1,0,0,2)/(0,1,0,1,0,2)/(0,0,1,1,0,2)/(0,2,0,0,0,0)/ (0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)^3/(0,1,1,0,1,1)/(0,0,1,1,1,1)/(0,1,0,1,1,1)/(0,1,1,0,0,0)/(0,1,0,1,0,0)/(0,0,1,1,0,0)/(0,0,0,0,1,1)^2/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,0,1,1)/(1,1,0,0,0,2)/(1,1,0,0,0,0)/(1,0,1,0,1,1)/(1,0,1,0,0,2)/(1,0,1,0,0,0)/(1,0,0,1,1,1)/(1,0,0,1,0,2)/(1,0,0,1,0,0)]")
a[6]=expand("[(2,0,0,0,0,0)/(0,2,0,0,0,0)^2/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(1,2,0,0,0,0)^2/(1,0,0,0,0,0)^2/(1,0,1,1,0,0)^2/(1,0,0,0,1,1)^2/(1,1,1,0,0,1)/(1,1,0,1,1,0)/(1,1,1,0,1,0)/(1,1,0,1,0,1)/(0,2,1,1,0,0)/(0,0,1,1,0,0)/(0,2,0,0,1,1)/(0,0,0,0,1,1)/(0,0,1,1,1,1)/(0,1,1,0,0,1)^2/(0,1,0,1,1,0)^2/(1,1,1,0,1,0)/(1,1,0,1,0,1)/(0,0,0,0,0,0)^3]")
a[6]=expand("[(1,1,1,1,0,0)/(1,1,0,0,1,0)^2/(1,1,0,0,0,2)/(1,1,0,0,0,0)/(2,0,0,0,0,0)/(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,1,1,1,0)^2/(0,0,1,1,0,2)/(0,0,1,1,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,0)^3/(0,0,0,0,1,2)^2/(0,0,0,0,1,0)^2/(0,0,0,0,0,2)^2/(1,0,1,0,1,1)/(1,0,1,0,0,1)^2/(1,0,0,1,1,1)/(1,0,0,1,0,1)^2/(0,1,1,0,1,1)/(0,1,1,0,0,1)^2/(0,1,0,1,1,1)/(0,1,0,1,0,1)^2]")
a[7]=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,2,2,0,0)/(0,0,2,0,2,0)/(0,0,2,0,0,2)/(0,0,0,2,2,0)/(0,0,0,2,0,2)/ (0,0,0,0,2,2)/(0,1,1,1,1,1)^2/(2,0,0,0,0,0)/(1,1,2,0,0,0)/(1,1,0,2,0,0)/(1,1,0,0,2,0)/(1,1,0,0,0,2)/(1,0,1,1,1,1)^2]")
a[8]=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)^2/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,1,2,1,0)/(0,0,1,0,1,0)/(0,0,1,1,0,1)^2/(0,0,0,1,1,1)^2/(0,0,0,0,0,0)^3(0,1,1,1,0,0)^2/(0,1,1,0,1,1)/(0,1,0,2,0,1)/(0,1,0,0,0,1)/(0,1,0,1,1,0)^2/ (2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,1,1,0)/(1,1,0,0,0,1)^2/(1,0,1,1,0,0)^2/(1,0,1,0,1,1)/(1,0,0,2,0,1)/(1,0,0,1,1,0)^2/(1,0,0,0,0,1)]")
a[9]=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)^3/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,1,2,1,0)/(0,0,1,0,1,0)/(0,0,1,2,0,1)/(0,0,1,0,0,1)/(0,0,0,2,1,1)/(0,0,0,0,1,1)/(0,1,1,2,0,0)/(0,1,1,0,0,0)/(0,1,0,2,0,1)/(0,1,1,0,1,1)/(0,1,0,2,1,0)/ (0,1,0,0,1,0)/(0,1,0,0,0,1)/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,1,1,0)/(1,1,0,1,0,1)/(1,0,1,2,0,0)/(1,0,1,0,0,0)/(1,0,1,0,1,1)/(1,0,0,2,0,1)/(1,0,0,0,0,1)/(1,0,0,2,1,0)/(1,0,0,0,1,0)]")
for i in range(1,10):
#print("i="+str(i))
#print(dimChecker(a[i]))
#checker(a[i], basis,order )
basisA16.append(a[i])
#testing potential new A16
#other option for case 8
temp=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)^2/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,1,2,1,0)/(0,0,1,0,1,0)/(0,0,1,1,0,1)^2/(0,0,0,1,1,1)^2/(0,0,0,0,0,0)^3/(0,1,1,1,0,1)/(0,1,1,0,1,0)^2/(0,1,0,2,0,0)^2/(0,1,0,0,0,0)^2/(0,1,0,1,1,1)/ (2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,1,1,0)/(1,1,0,0,0,1)^2/(1,0,1,1,0,1)/(1,0,1,0,1,0)^2/(1,0,0,2,0,0)^2/(1,0,0,0,0,0)^2/(1,0,0,1,1,1)]")
#print("checking")
#print(checker(temp, basisA16,order ))
#print(dimChecker(temp))
basisA16.append(temp)
#print(len(basisA16))
#other option for case 9
temp=expand("[(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)^3/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,1,2,1,0)/(0,0,1,0,1,0)/(0,0,1,2,0,1)/(0,0,1,0,0,1)/(0,0,0,2,1,1)/(0,0,0,0,1,1)/(0,1,1,1,1,0)/(0,1,1,1,0,1)/(0,1,0,1,1,1)/(0,1,0,3,0,0)/(0,1,0,1,0,0)^2/(2,0,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,1,1,0)/(1,1,0,1,0,1)/(1,0,1,1,1,0)/(1,0,1,1,0,1)/(1,0,0,1,1,1)/(1,0,0,3,0,0)/(1,0,0,1,0,0)^2]")
#print("checking")
#print(dimChecker(temp))
#o=order(6)
#print(checker(temp, basisA16,o))
basisA16.append(temp)
#print(len(basisA16))
#Redoing the A16 in A1A1D6
l1=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
l2=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
l5=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
l5b=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
L=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
l1[1]=expand("[(4,0,0,0)/(0,1,1,0)/(0,0,0,2)]")
l5[1]=expand("[(3,1,0,1)/(3,0,1,1)]")
l5b[1]=expand("[(3,1,0,1)/(3,0,1,1)]")
l1[2]=expand("[(1,1,0,0)/(0,1,1,0)/(0,0,1,1)]")
l5[2]=expand("[(1,1,0,1)/(1,0,2,0)/(1,0,0,0)/(0,2,1,0)/(0,0,1,0)/(0,1,1,1)]")
l5b[2]=expand("[(1,1,1,0)/(1,0,1,1)/(0,2,0,1)/(0,0,0,1)/(0,1,2,0)/(0,1,0,0)]")
l1[3]=expand("[(1,1,0,0)/(0,0,1,1)^2]")
l5[3]=expand("[(1,0,1,1)^2/(0,1,2,0)/(0,1,0,0)/(0,1,0,2)/(0,1,0,0)]")
l5b[3]=expand("[(0,1,1,1)^2/(1,0,2,0)/(1,0,0,0)/(1,0,0,2)/(1,0,0,0)]")
l1[4]=expand("[(1,1,0,0)/(0,0,1,0)^2/(0,0,0,1)^2]")
l5[4]=expand("[(1,0,1,0)^2/(1,0,0,1)^2/(0,1,1,1)/(0,1,0,0)^4]")
l5b[4]=expand("[(0,1,1,0)^2/(0,1,0,1)^2/(1,0,1,1)/(1,0,0,0)^4]")
l1[5]=expand("[(1,1,0,0)/(0,0,1,1)/(0,0,0,2)/(0,0,0,0)]")
l5[5]=expand("[(1,0,1,1)/(1,0,0,2)/(1,0,0,0)/(0,1,1,1)/(0,1,0,2)/(0,1,0,0)]")
l5b[5]=expand("[(1,0,1,1)/(1,0,0,2)/(1,0,0,0)/(0,1,1,1)/(0,1,0,2)/(0,1,0,0)]")
l1[6]=expand("[(1,1,0,0)/(0,1,1,0)/(0,0,0,2)/(0,0,0,0)]")
l5[6]=expand("[(1,1,0,1)/(1,0,1,1)/(0,2,0,1)/(0,1,1,1)]")
l5b[6]=expand("[(1,1,0,1)/(1,0,1,1)/(0,2,0,1)/(0,1,1,1)]")
l1[7]=expand("[(1,1,0,0)/(0,0,1,0)^2/(0,0,0,2)/(0,0,0,0)]")
l5[7]=expand("[(1,0,1,1)/(1,0,0,1)^2/(0,1,1,1)/(0,1,0,1)^2]")
l5b[7]=expand("[(1,0,1,1)/(1,0,0,1)^2/(0,1,1,1)/(0,1,0,1)^2]")
l1[8]=expand("[(1,1,0,0)/(0,0,1,1)/(0,0,0,0)^4]")
l5[8]=expand("[(1,0,1,0)^2/(1,0,0,1)^2/(0,1,1,0)^2/(0,1,0,1)^2]")
l5b[8]=expand("[(1,0,1,0)^2/(1,0,0,1)^2/(0,1,1,0)^2/(0,1,0,1)^2]")
l1[9]=expand("[(1,1,0,0)/(0,0,2,0)/(0,0,0,2)/(0,0,0,0)^2]")
l5[9]=expand("[(1,0,1,1)^2/(0,1,1,1)^2]")
l5b[9]=expand("[(1,0,1,1)^2/(0,1,1,1)^2]")
l1[10]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)]")
l5[10]=expand("[(1,1,1,1)^2]")
l5b[10]=expand("[(1,1,1,1)^2]")
l1[11]=expand("[(3,1,0,0)/(0,0,1,1)]")
l5[11]=expand("[(4,0,1,0)/(0,2,1,0)/(3,1,0,1)]")
l5b[11]=expand("[(4,0,0,1)/(0,2,0,1)/(3,1,1,0)]")
l1[12]=expand("[(1,1,0,0)/(0,1,1,0)/(0,0,0,1)^2]")
l5[12]=expand("[(1,1,0,0)^2/(1,0,1,1)/(0,2,0,1)/(0,0,0,1)/(0,1,1,0)^2]")
l5b[12]=expand("[(1,1,0,1)/(1,0,1,0)^2/(0,2,0,0)^2/(0,0,0,0)^2/(0,1,1,1)]")
l1[13]=expand("[(1,1,0,0)/(0,0,1,1)/(0,0,0,1)^2]")
l5[13]=expand("[(1,0,1,0)^2/(1,0,0,2)/(1,0,0,0)/(0,1,1,1)/(0,1,0,1)^2]")
l5b[13]=expand("[(1,0,1,1)/(1,0,0,1)^2/(0,1,1,0)^2/(0,1,0,2)/(0,1,0,0)]")
l1[14]=expand("[(1,1,0,0)/(0,1,1,0)/(0,1,0,1)]")
l5[14]=expand("[(1,1,0,1)/(1,1,1,0)/(0,3,0,0)/(0,1,0,0)^2/(0,1,1,1)]")
l5b[14]=expand("[(1,2,0,0)/(1,0,0,0)/(1,0,1,1)/(0,2,0,1)/(0,0,0,1)/(0,2,1,0)/(0,0,1,0)]")
basis2=[[0]]
orderList6=order(6)
for i in range(1,15):
l2[i]=wedge2(l1[i])
for i in range(1,15):
temp=concat([(1,1)],l1[i])
temp = temp+concat([(1,0)],l5[i])
temp = temp+[(2,0,0,0,0,0),(0,2,0,0,0,0)]
temp=temp+concat([(0,0)],l2[i])
L[i] = temp+concat([(0,1)],l5[i])
#print("i= "+str(i))
#print(checker(L[i],basis2,orderList6))
basis2.append(L[i])
#print("MOVING ON TO CASE b")
for i in range(1,15):
temp=concat([(1,1)],l1[i])
temp = temp+concat([(1,0)],l5b[i])
temp = temp+[(2,0,0,0,0,0),(0,2,0,0,0,0)]
temp=temp+concat([(0,0)],l2[i])
L[i] = temp+concat([(0,1)],l5b[i])
#print("i= "+str(i))
t=checker(L[i],basis2,orderList6)
#print(t)
if t==-1:
basis2.append(L[i])
#print(len(basis2))
basisTest=[[0]]
print("trying to make them equal")
for i in range(1,15):
temp=concat([(1,1)],l1[i])
temp = temp+concat([(1,0)],l5[i])
temp = temp+[(2,0,0,0,0,0),(0,2,0,0,0,0)]
temp=temp+concat([(0,0)],l2[i])
L[i] = temp+concat([(0,1)],l5b[i])
print("i= "+str(i))
t=checker(L[i],basisTest,orderList6)
print(t)
if t==-1:
basisTest.append(L[i])
#print(len(basis2))
#A15 is in D6
print("A15 is in D6")
t=removeA1(basisA18[1],2)
t2=diagA1(t,2,3)
print(checker(t2,basis2,orderList6))
#basis2.append(t2)
t=removeA1(basisA18[1],2)
t2=removeA1(t,2)
print(checker(t2,basis2,orderList6))
basis2.append(t2)
#A15 in A1D6 with diag
print("A15 is in A1D6 with")
t=diagA1(basisA18[1],2,3)
t2=diagA1(t,6,7)
#print(checker(t2,basis2,orderList6))
basis2.append(t2)
print("diag(2,7,8)")
t=diagA1(basisA18[1],2,7)
t2=diagA1(t,1,7)
#print(checker(t2,basis2,orderList6))
#basis2.append(t2)
t=diagA1(basisA18[1],2,3)
t2=removeA1(t,7)
print(checker(t2,basis2,orderList6))
basis2.append(t2)
t=diagA1(basisA18[1],2,7)
t2=removeA1(t,7)
#print(t2[1])
#print(checker(t2,basis2,orderList6))
basis2.append(t2)
#In A1B4 in A1F4
temp=expand("[(1,1,1,0,1,0)/(1,1,1,0,0,1)/(1,1,0,1,1,0)/(1,1,0,1,0,1)/(1,1,1,1,0,0)/(1,1,0,0,1,1)/(1,1,0,0,0,0)^2/(1,3,0,0,0,0)/(0,2,1,1,0,0)/(0,2,0,0,1,1)/(0,2,0,0,0,0) /(0,2,1,0,1,0)/(0,2,1,0,0,1)/(0,2,0,1,1,0)/(0,2,0,1,0,1)/(0,2,0,0,0,0)^2/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,1,1,1,1)/(0,0,1,1,0,0)/(0,0,0,0,1,1)/ (0,0,1,0,1,0)/(0,0,1,0,0,1)/(0,0,0,1,1,0)/(0,0,0,1,0,1)/(2,0,0,0,0,0)]")
print("In A1B4 in A1F4")
print(dimChecker(temp))
print(checker(temp,basis2,orderList6))
# In G2C3
print("in G2C3")
temp2=expand("[ (1,0,2,1,0,0)/(1,1,1,1,0,0)/(1,0,2,0,1,0)/(1,1,1,0,1,0)/(1,0,2,0,0,1)/(1,1,1,0,0,1)/(1,0,0,1,1,1)/(1,0,0,1,0,0)/(1,0,0,0,1,0)/(1,0,0,0,0,1)/ (0,0,2,0,0,0)^2/(0,1,1,0,0,0)^2/(0,0,2,1,1,0)/(0,1,1,1,1,0)/(0,0,2,1,0,1)/(0,1,1,1,0,1)/(0,0,2,0,1,1)/(0,1,1,0,1,1)/(0,2,0,0,0,0)/(0,0,2,0,0,0)/ (0,1,3,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,0,1,1,0)/(0,0,0,1,0,1)/ (0,0,0,0,1,1)/(2,0,0,0,0,0)]")
print(dimChecker(temp2))
print(checker(temp2,basis2,orderList6))
#In E7
print("In E7:")
orderList6=order(6)
tester1 = removeA1(basisA18[1],1)
tester1= diagA1(tester1,1,2)
print(checker(tester1,basisA16,orderList6))
print(dimChecker(tester1))
tester2 = removeA1(basisA18[1],1)
tester2= removeA1(tester1,1)
print(checker(tester2,basisA16,orderList6))
print(dimChecker(tester2))
#InA1E7withdiag
orderList6=order(6)
#print("A16 in A17 with diag")
tester1 = diagA1(basis2[1],1,2)
tester2 = diagA1(basis2[1],1,3)
tester3 = diagA1(basis2[2],1,2)
#print(checker(tester1,basis2,orderList6))
#print(checker(tester2,basis2,orderList6))
#print(checker(tester3,basis2,orderList6))
#print(len(basisA16))
temp=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
testBasisA16=[[0]]
#Removing two
temp[0]=removeA1(basisA18[1],1)
a[0]=removeA1(temp[0],1)
temp[1]=removeA1(basisA18[1],1)
a[1]=removeA1(temp[1],2)
temp[2]=removeA1(basisA18[1],3)
a[2]=removeA1(temp[2],3)
temp[3]=removeA1(basisA18[1],3)
a[3]=removeA1(temp[3],4)
#Diag of 3 A1
temp[4]=diagA1(basisA18[1],1,2)
a[4]=diagA1(temp[4],1,2)
temp[5]=diagA1(basisA18[1],1,3)
a[5]=diagA1(temp[5],1,3)
temp[6]=diagA1(basisA18[1],1,3)
a[6]=diagA1(temp[6],1,4)
temp[7]=diagA1(basisA18[1],3,4)
a[7]=diagA1(temp[7],1,4)
temp[8]=diagA1(basisA18[1],3,5)
a[8]=diagA1(temp[8],1,6)
#Diag 2 and remove one
temp[9]=diagA1(basisA18[1],1,2)
a[9]=removeA1(temp[9],2)
temp[9]=diagA1(basisA18[1],3,4)
a[10]=removeA1(temp[9],2)
temp[9]=diagA1(basisA18[1],3,4)
a[11]=removeA1(temp[9],4)
temp[9]=diagA1(basisA18[1],3,5)
a[12]=removeA1(temp[9],2)
temp[9]=diagA1(basisA18[1],3,5)
a[13]=removeA1(temp[9],4)
temp[9]=diagA1(basisA18[1],3,5)
a[14]=removeA1(temp[9],6)
for i in range(0,15):
print("Case "+str(i))
t=checker(a[i],basis2,orderList6)
print(t)
if t==-1:
#basisA16.append(a[i])
basis2.append(a[i])
#print("it's index in basisA16:")
#print(checker(a[i],basis2,orderList6))
#print("len ="+str(len(basis2)))
#In G2F4
#print("G2F4")
t=expand("[(0,2,1,1,0,0)/(0,2,0,0,1,1)/(0,2,0,0,0,0)/(1,1,1,1,0,0)/(1,1,0,0,1,1)/(1,1,0,0,0,0)/(0,2,1,0,1,0)/(0,2,1,0,0,1)/(0,2,0,1,1,0)/(0,2,0,1,0,1)/(1,1,1,0,1,0)/(1,1,1,0,0,1)/(1,1,0,1,1,0)/(1,1,0,1,0,1)/(0,2,0,0,0,0)/(1,1,0,0,0,0)/(2,0,0,0,0,0)/(0,2,0,0,0,0)/(1,3,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,1,1,1,1)/(0,0,1,1,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,0,0,1,1)/(0,0,1,0,1,0)/(0,0,1,0,0,1)/(0,0,0,1,1,0)/(0,0,0,1,0,1)]")
#print(checker(t,basisA16,orderList))
#In D8
#In D8
d=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
sol=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
e=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
d[1]=expand("[(1,1,0,0,0,0)/(0,0,1,1,0,0)/(0,0,0,0,1,1)/(0,0,0,0,0,0)^4]")
d[2]=expand("[(1,1,0,0,0,0)/(0,0,1,1,0,0)/(0,0,0,0,1,1)^2]")
d[3]=expand("[(1,1,0,0,0,0)/(0,0,1,1,0,0)/(0,0,0,0,1,1)/(1,0,1,0,0,0)]")
d[4]=expand("[(1,1,0,0,0,0)/(0,0,1,1,0,0)/(0,0,0,0,1,1)/(0,0,0,0,0,1)^2]")
d[5]=expand("[(1,1,0,0,0,0)/(0,0,1,1,0,0)/(0,0,0,1,1,0)/(0,0,0,0,0,1)^2]")
d[6]=expand("[(1,1,0,0,0,0)/(0,0,1,1,0,0)/(0,0,0,0,1,0)^2/(0,0,0,0,0,1)^2]")
d[7]=expand("[(1,0,0,0,0,0)^2/(0,1,1,0,0,0)/(0,0,0,1,1,0)/(0,0,0,0,0,2)/(0,0,0,0,0,0)]")
d[8]=expand("[(1,1,0,0,0,0)/(0,1,1,0,0,0)/(0,0,0,1,1,0)/(0,0,0,0,0,2)/(0,0,0,0,0,0)]")
d[9]=expand("[(1,0,0,0,0,1)/(0,1,1,0,0,0)/(0,0,0,1,1,0)/(0,0,0,0,0,2)/(0,0,0,0,0,0)]")
for i in range(1,10):
sol[i]= wedge2(d[i])
for i in range(1,1):
print(i)
print(classifyIncomplete(sol[i],basisA16,orderList))
print("LEN:"+str(len(basis2)))
#//////////////////////////////////////////////////////////////////////////////////////////////////////////
#//////////////////////////////////////////////////////////////////////////////////////////////////////////
#A15 //////////////////////////////////////////////////////////////////////////////////////////////////////
#//////////////////////////////////////////////////////////////////////////////////////////////////////////
#//////////////////////////////////////////////////////////////////////////////////////////////////////////
#In A1E7
#A14inE7 with final order
orderList = order(4)
a=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
lambda1=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
lambda2=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
lambda5=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
LE8=[0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,00,0,0,0,0,0,0,0,0,0,0]
additional = []
#1& $ (2,1,1)$ & $
a[9]=expand("[(0,4,2,0)/(0,4,0,2)/(0,2,2,2)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(1,2,1,2)/(1,4,1,0)/(1,0,3,0)]")
lambda1[9]=expand("[(2,1,1)]")
#2& $ (2,2,0)/(0,0,2)$ & $
a[10]=expand("[(0,4,2,0)/(0,2,4,0)/(1,3,1,1)/(1,1,3,1)/(0,2,2,2)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)]")
lambda1[10]=expand("[(2,2,0)/(0,0,2)]")
#3& $ (3,1,0)/(0,1,1)$ & $
a[11]=expand("[(0,6,0,0)/(0,4,2,0)/(0,3,2,1)/(0,3,0,1)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)/ (1,3,2,0)/(1,4,0,1)/(1,0,2,1)/(1,3,0,0)]")
lambda1[11]=expand("[(3,1,0)/(0,1,1)]")
#a[4]=expand("[(0,6,0,0)/(0,4,2,0)/(0,3,2,1)/(0,3,0,1)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)/ (1,4,1,0)/(1,3,1,1)/(1,0,3,0)/(1,0,1,0)]")
#4& $ (3,1,0)/(1,0,1)$ & $
a[12]=expand("[ (0,6,0,0)/(0,4,2,0)/(0,4,1,1)/(0,2,1,1)/(2,0,0,0)/(0,2,0,0)^2/(0,0,2,0)/(0,0,0,2)/ (1,4,1,0)/(1,2,1,0)/(1,4,0,1)/(1,0,2,1)]")
lambda1[12]=expand("[(3,1,0)/(1,0,1)]")
#5& $ (3,1,0)/(0,0,1)^2$ & $
a[13]=expand("[(0,6,0,0)/(0,4,2,0)/(0,3,1,1)^2/(1,3,1,0)^2/(1,4,0,1)/(1,0,2,1)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,0,0,0)^3]")
lambda1[13]=expand("[(3,1,0)/(0,0,1)^2]")
#6& $ (3,1,0)/(0,0,2)/$ & $
a[14]=expand("[(0,6,0,0)/(0,4,2,0)/(0,3,1,2)/(1,3,1,1)/(1,4,0,1)/(0,3,1,0)/(1,0,2,1)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^2]")
lambda1[14]=expand("[(3,1,0)/(0,0,2)/(0,0,0)]")
#7& $ (3,0,0)^2/(0,1,1)$ & $
a[1]=expand("[(0,6,0,0)/(0,4,0,0)^3/(0,3,1,1)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(1,4,0,1)/(1,3,1,0)^2/(1,0,0,1)^3/(0,0,0,0)^3]")
lambda1[1]=expand("[(3,0,0)^2/(0,1,1)]")
#By checking, this is the one used to get the correct order of A1 in LE7 \downarrow A14
lambda1[1]=[(4,0,0),(0,1,1),(0,0,0),(0,0,0),(0,0,0)]
#8& $ (6,0,0)/(0,1,1)/$ & $
a[15]=expand("[(0,10,0,0)/(1,6,1,0)/(0,6,1,1)/(1,6,0,1)/(0,6,0,0)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,0,1,1)/(1,0,0,1)/(1,0,1,0)]")
lambda1[15]=expand("[(6,0,0)/(0,1,1)/(0,0,0)]")
#9& $ (4,0,0)/(1,1,0)/$ & $
a[16]=expand("[(0,6,0,0)/(0,4,0,2)/(1,4,0,1)/(0,5,1,0)/(1,3,1,1)/(0,3,1,0)/(0,1,1,2)/(1,2,0,1)/(2,0,0,0)/(0,2,0,0)^2/(0,0,2,0)/(0,0,0,2)]")
lambda1[16]=expand("[(4,0,0)/(1,1,0)/(0,0,2)]")
#10& $ (4,0,0)/(0,1,1)/$ & $
a[17]=expand("[(0,6,0,0)^2/(1,4,1,0)/(1,4,0,1)/(0,4,1,1)/(0,4,0,0)/(1,2,1,0)/(1,2,0,1)/(0,2,1,1)/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)/(0,0,0,2)]")
lambda1[17]=expand("[(4,0,0)/(0,1,1)/(2,0,0)]")
#11& $ (4,0,0)/(0,1,1)/$ & $
a[18]=expand("[(0,6,0,0)/(0,4,1,1)/(0,4,0,2)/(1,3,0,2)/(1,3,1,1)/(1,3,0,0)/(0,0,1,3)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^2/(0,0,1,1)]")
lambda1[18]=expand("[(4,0,0)/(0,1,1)/(0,0,2)]")
#12& $ (4,0,0)/(0,1,0)^2/$ & $
a[19]=expand("[(0,6,0,0)/(0,4,0,2)/(0,4,1,0)^2/(1,3,1,1)/(1,3,0,1)^2/(0,0,1,2)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,0,0,0)^3]")
lambda1[19]=expand("[(4,0,0)/(0,1,0)^2/(0,0,2)]")
#13& $ (4,0,0)/(0,1,1)/$ & $
a[1]=expand("[(0,6,0,0)/(0,4,0,0)^3/(1,3,0,1)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,4,1,1)/(1,3,1,0)^2/(0,0,1,1)^3/(0,0,0,0)^3]")
#lambda1[1]=[expand("[(4,0,0)/(0,1,1)/(0,0,0)^3]")
#14& $ (4,0,0)/(0,2,0)/$ & $
a[20]=expand("[(0,6,0,0)/(0,4,2,0)/(0,4,0,2)/(1,3,1,1)^2/(0,4,0,0)/(0,0,2,2)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)^2]")
lambda1[20]=expand("[(4,0,0)/(0,2,0)/(0,0,2)/(0,0,0)]")
#15& $ (1,1,0)^2/(0,1,1)$ & $
a[4]=expand("[(0,2,2,0)/(0,1,2,1)^2/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)^4/(0,0,0,2)/(0,1,0,1)^2/(0,0,0,0)/(1,0,3,0)/(1,2,1,0)/(1,1,1,1)^2/(1,0,1,0)^3 ]")
lambda1[4]=expand("[(1,1,0)^2/(0,1,1)]")
#16& $ (1,1,0)/(1,0,1)/$ & $
a[21]=expand("[(0,2,1,1)/(0,1,2,1)/(0,1,1,2)/(2,0,0,0)/(0,2,0,0)^2/(0,0,2,0)^2/(0,0,0,2)^2/(0,1,1,0)/(0,1,0,1)/(0,0,1,1)/(1,2,1,0)/(1,0,2,1)/(1,1,0,2)/(1,1,0,0)/(1,0,1,0)/(1,0,0,1)/(1,1,1,1)]")
lambda1[21]=expand("[ (1,1,0)/(1,0,1)/(0,1,1)]")
#17& $ (1,1,0)^2/(0,0,1)^2$ & $
a[8]=expand("[(0,2,2,0)/(1,2,0,0)^2/(1,0,2,0)^2/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)^3/(0,0,0,2)/(1,1,1,1)^2/(0,1,1,1)^4/(1,0,0,0)^4/(0,0,0,0)^4]")
lambda1[8]=expand("[(1,1,0)^2/(0,0,1)^2]")
a[34]=expand("[(0,2,2,0)/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)^3/(0,0,0,2)/(0,1,1,1)^4/(0,0,0,0)^4/(1,2,0,1)/(1,0,2,1)/(1,1,1,0)^4/(1,0,0,1)^2]")
lambda1[34]=expand("[(1,1,0)^2/(0,0,1)^2]")
#18& $ (1,1,0)/(0,1,1)/$ & $
a[22]=expand("[(0,1,2,1)/(0,0,1,2)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)^2/(0,1,1,1)^2/(0,1,0,1)/(0,0,1,0)^2/(0,0,0,0)^3/(1,1,1,1)/(1,0,2,0)^2/(1,0,1,2)/(1,1,0,1)^2/(1,0,1,0)/(1,0,0,0)^2 ]")
lambda1[22]=expand("[(1,1,0)/(0,1,1)/(0,0,1)^2]")
a[22]=expand("[(0,1,2,1)/(0,0,1,2)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)^2/(0,1,1,1)^2/(0,1,0,1)/(0,0,1,0)^2/(0,0,0,0)^3/(1,1,1,0)^2/(1,1,0,2)/(1,1,0,0)/(1,0,2,1)/(1,0,0,1)/(1,0,1,1)^2]")
lambda1[22]=expand("[(1,1,0)/(0,1,1)/(0,0,1)^2]")
#19& $ (1,1,0)/(0,1,0)^2/$ & $
#a[12]=expand("[(0,1,2,0)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)/(0,0,1,1)^4/(0,1,1,1)^2/(0,1,0,0)^2/(0,0,0,0)^6/(1,1,1,1)/(1,0,2,0)^2/(1,1,0,0)^4/(1,0,1,1)^2/(1,0,0,0)^2 ]")
#a[20]=expand("[(0,1,2,0)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)/(0,0,1,1)^4/(0,1,1,1)^2/(0,1,0,0)^2/(0,0,0,0)^6/(1,0,2,1)/(1,1,1,0)^2/(1,1,0,1)^2/(1,0,0,1)/(1,0,1,0)^4 ]")
#20& $ (1,0,0)^2/(0,1,0)^2/$ & $
a[2]=expand("[ (2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,1,1,0)^4/(0,1,0,1)^4/(0,0,1,1)^4/(0,0,0,0)^9/(1,1,1,0)^2/(1,1,0,1)^2/ (1,0,0,0)^8/(1,0,1,1)^2/]")
lambda1[2]=expand("[(1,0,0)^2/(0,1,0)^2/(0,0,1)^2]")
a[2]=expand("[ (2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,1,1,0)^4/(0,1,0,1)^4/(0,0,1,1)^4/(0,0,0,0)^9/ (1,1,1,1)/(1,1,0,0)^4/(1,0,1,0)^4/(1,0,0,1)^4]")
lambda1[2]=expand("[(1,0,0)^2/(0,1,0)^2/(0,0,1)^2]")
#21& $ (1,1,0)^2/(0,0,2)/$ & $
a[23]=expand("[ (0,2,2,0)/(1,2,0,1)/(1,0,2,1)/(0,1,1,2)^2/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)^3/(0,0,0,2)^2/(1,1,1,1)^2/(1,0,0,1)^2/(0,1,1,0)^2/(0,0,0,0)]")
lambda1[23]=expand("[(1,1,0)^2/(0,0,2)/(0,0,0)]")
#22& $ (1,1,0)/(0,1,1)/$ & $
a[24]=expand("[(0,0,1,3)/(0,1,2,1)/(0,1,1,2)/(1,1,0,2)/(1,0,1,2)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)^3/(1,1,1,1)/(1,1,0,0)/(1,0,1,0)/(1,0,0,1)/(0,1,1,0)/(0,1,0,1)/(0,0,1,1)^2]")
a[24]=expand("[(2,0,0,0)/(0,2,0,0)/(0,3,1,0)/(0,1,1,0)^2/(0,2,1,1)/(0,2,0,0)^2/(0,0,2,0)^2/(0,1,2,1)/(0,1,0,1)/(0,0,0,2)/(0,0,1,1)/(1,2,1,0)/(1,0,1,0)/(1,1,1,1)/(1,2,0,1)/(1,0,0,1)/(1,1,2,0)/(1,1,0,0)]")
lambda1[24]=expand("[(1,1,0)/(0,1,1)/(0,0,2)/(0,0,0)]")
#23& $ (1,1,0)/(1,0,0)^2/$ & $
a[25]=expand("[(0,1,1,2)/(0,2,1,0)^2/(0,1,0,2)^2/(2,0,0,0)/(0,2,0,0)^2/(0,0,2,0)/(0,0,0,2)^2/(0,1,1,0)/(0,0,1,0)^2/(0,1,0,0)^2/(1,2,0,1)/(1,0,0,1)/(1,1,0,1)^2/(1,0,1,1)^2/(1,1,1,1)/(0,0,0,0)^3]")
lambda1[25]=expand("[(1,1,0)/(1,0,0)^2/(0,0,2)/(0,0,0)]")
#24& $ (0,1,1)/(1,0,0)^2/$ & $
a[26]=expand("[(3,0,0,0)^2/(2,1,1,0)/(2,1,0,1)/(2,0,1,1)/(2,0,0,0)^3/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(1,1,1,0)^2/(1,1,0,1)^2/(1,0,1,1)^2/(0,1,1,0)/ (0,1,0,1)/(0,0,1,1)/(1,0,0,0)^4/(0,0,0,0)^3]")
lambda1[26]=expand("[(0,1,1)/(1,0,0)^2/(2,0,0)/(0,0,0)]")
a[26]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,1,1,1)^2/(0,1,1,2)/(0,1,1,0)/(0,0,0,2)/(0,0,0,0)^3/(0,0,0,3)^2/(0,0,0,1)^4/(0,0,0,2)^2/(1,1,0,1)^2/(1,1,0,2)/(1,1,0,0)/(1,0,1,2)/(1,0,1,0)/(1,0,1,1)^2]")
lambda1[26] =[(1,1,0),(0,0,1),(0,0,1),(0,0,2),(0,0,0)]
#25& $ (1,0,0)^2/(0,1,0)^2/$ & $
a[5]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^2/(0,1,0,2)^2/(0,0,1,2)^2/(0,1,1,0)^4/(0,1,0,0)^2/(0,0,1,0)^2/(1,1,1,1)/(1,1,0,1)^2/(1,0,1,1)^2/ (1,0,0,1)^4/(0,0,0,0)^6]")
lambda1[5]=expand("[(1,0,0)^2/(0,1,0)^2/(0,0,2)/(0,0,0)]")
#26& $ (1,1,0)/(0,1,1)/$ & $
a[6]=expand("[(0,1,2,1)/(1,0,2,0)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^2/(0,0,0,2)/(1,1,1,0)^2/(1,1,0,1)^2/(1,0,1,1)^2/(0,1,1,0)^4/(0,1,0,1)/(0,0,1,1)^4/(1,0,0,0)^2/(0,0,0,0)^6]")
lambda1[6]=expand("[(1,1,0)/(0,1,1)/(0,0,0)^4]")
#27& $ (1,1,0)/(0,0,1)^2/$ & $
a[3]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(1,1,1,0)^2/(1,1,0,1)^2/(1,0,1,1)^2/(0,1,1,0)^4/(0,1,0,1)^4/(0,0,1,1)^4/(1,0,0,0)^8/(0,0,0,0)^9]")
a[3]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(0,1,1,1)^2/(0,1,1,0)^4/(0,0,0,1)^8/(1,1,0,1)^2/(1,1,0,0)^4/(1,0,1,1)^2/(1,0,1,0)^4/(0,0,0,0)^9]")
lambda1[3]=expand("[(1,1,0)/(0,0,1)^2/(0,0,0)^4]")
#28& $ (1,1,0)/(0,2,0)/$ & $
a[4]=expand("[(0,0,2,2)/(0,1,3,0)/(1,0,2,1)^2/(0,1,1,2)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^4/(0,0,0,2)^3/(1,1,1,1)^2/(1,0,0,1)^2/(0,1,1,0)^3/(0,0,0,0) ]")
lambda1[4]=expand("[ (1,1,0)/(0,2,0)/(0,0,2)/(0,0,0)^2]")
#29& $ (1,0,0)^2/(0,2,0)/$ & $
a[8]=expand("[(0,2,2,0)/(1,2,0,0)^2/(1,0,2,0)^2/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)^3/(0,0,0,2)/(1,1,1,1)^2/(0,1,1,1)^4/(1,0,0,0)^4/(0,0,0,0)^4]")
#lambda1[8]=expand("[(1,0,0)^2/(0,2,0)/(0,0,2)/(0,0,0)^2]")
#30& $ (1,1,0)/(0,0,2)/$ & $
a[7]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^6/(0,1,1,2)/(0,1,1,0)^5/(1,1,0,1)^4/(1,0,1,1)^4/(0,0,0,0)^{10}]")
lambda1[7]=expand("[(1,1,0)/(0,0,2)/(0,0,0)^5]")
#31& $ (2,0,0)/(0,2,0)/$ & $
a[27]=expand("[(0,2,2,0)/(0,2,0,2)/(0,0,2,2)/(2,0,0,0)/(0,2,0,0)^4/(0,0,2,0)^4/(0,0,0,2)^4/(1,1,1,1)^4/(0,0,0,0)^3]")
lambda1[27]=expand("[(2,0,0)/(0,2,0)/(0,0,2)/(0,0,0)^3]")
#32& $(1,1,0)/(0,0,1)^4$ &$
a[7]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^6/(0,1,1,2)/(0,1,1,0)^5/(1,1,0,1)^4/(1,0,1,1)^4/(0,0,0,0)^9/(0,0,0,0)]")
#lambda1[7]=expand("[(1,1,0)/(0,0,1)^4]")
#33& $(2,0,0)^2/(0,2,0)/$ & $ INCOMPLETE
#In case 28 to get full Le8 restriction:
#temp=expand("[(2,0,0,0,0)/(0,2,0,0,0)/(0,0,2,0,0)/(0,0,0,2,0)/(0,0,0,0,2)/(0,2,2,0,0)/(0,2,0,2,0)/(0,2,0,0,2)/(0,0,2,2,0)/(0,0,2,0,2)/(0,0,0,2,2)/(1,1,1,1,1)^2]")
#print("THIS IS FIXING OF CASE 28")
#temp2=diagA1(temp,2,3)
temp3=expand("[(0,4,0,0)/(0,2,2,0)^2/(0,2,0,2)^2/(1,2,1,1)^2/(0,0,2,2)/(0,2,0,0)^3/(0,0,2,0)/(0,0,0,2)/(2,0,0,0)/(1,0,1,1)^2/(0,0,0,0)]")
#print("dim of the new LE7 is "+str(dimChecker(temp3)))
#basistemp=[]
#basistemp.append(temp2)
#basistemp.append(temp3)
a[28]=expand("[(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)/(0,0,0,2)/(0,4,0,0)/(0,2,2,0)^2/(0,2,0,2)^2/(0,0,2,2)/(0,0,0,0) ]")
a[28]=temp3
#print("checking if coincide with previous fact:")
#o4=order(4)
#print(classifyIncomplete(a[28],basistemp,o4))
lambda1[28]=expand("[(2,0,0)^2/(0,2,0)/(0,0,2)]")
#34& $(1,1,0)/(0,0,2)^2$ & $
a[29]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^7/(0,0,0,4)/(0,1,1,2)^2/(1,1,0,2)^2/(1,0,1,2)^2/(0,1,1,0)^2/(1,1,0,0)^2/(1,0,1,0)^2/(0,0,0,0)^2]")
lambda1[29]=expand("[(1,1,0)/(0,0,2)^2/(0,0,0)^2]")
#35& $(1,1,0)/(0,1,1)$ & $
a[30]=expand("[(0,1,3,0)/(0,0,3,1)/(0,1,2,1)/(1,1,2,0)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^4/(0,0,0,2)/(1,1,1,1)/(1,1,0,0)/(0,1,1,0)^2/(0,0,1,1)^2/(0,1,0,1)/ (1,0,3,0)/(1,0,2,1)/(1,0,1,0)^2/(1,0,0,1)]")
lambda1[30]=expand("[(1,1,0)/(0,1,1)/(0,2,0)/(0,0,0)]")
a[31]=expand("[(0,1,3,0)/(0,0,3,1)/(0,1,2,1)/(1,1,2,0)/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)^4/(0,0,0,2)/(1,1,1,1)/(1,1,0,0)/(0,1,1,0)^2/(0,0,1,1)^2/(0,1,0,1)/(1,0,3,0)^2/(1,0,1,0)^4]")
lambda1[31]=expand("[(1,1,0)/(0,1,1)/(0,2,0)/(0,0,0)]")
#36& $(1,0,0)^2/(0,1,1)$ & $
a[32]=expand("[(0,0,0,0)^3/(0,0,1,3)/(0,1,0,2)^2/(1,0,0,2)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^3/(1,0,1,1)^2/(0,1,1,1)^2/(0,0,1,1)^2/(0,1,0,0)^2/(1,0,0,0)^2/(1,1,1,1)/(1,1,0,2)/(1,1,0,0)]")
lambda1[32]=expand("[(1,0,0)^2/(0,1,1)/(0,0,2)/(0,0,0)]")
a[33]=expand("[(0,0,0,0)^3/(0,0,1,3)/(0,1,0,2)^2/(1,0,0,2)^2/(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)^3/(1,0,1,1)^2/(0,1,1,1)^2/(0,0,1,1)^2/(0,1,0,0)^2/(1,0,0,0)^2/(1,1,1,1)^2]")
lambda1[33]=expand("[(1,0,0)^2/(0,1,1)/(0,0,2)/(0,0,0)]")
# 35 : test 110/101/100^2
a[35]=expand("[(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)/(0,0,0,2)/(0,2,1,1)/(0,0,1,1)/(0,2,1,0)^2/(0,0,1,0)^2/(0,2,0,1)^2/(0,0,0,1)^2/(0,0,0,0)^3/(1,2,0,0)^2/(1,0,0,0)^2/(1,2,0,1)/(1,0,0,1)/(1,2,1,0)/(1,0,1,0)/(1,0,1,1)^2]")
lambda1[35]=expand("[(1,1,0)/(1,0,1)/(1,0,0)^2]")
#a[35]=expand("[(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)/(0,0,0,2)/(0,2,1,1)/(0,0,1,1)/(0,2,1,0)^2/(0,0,1,0)^2/(0,2,0,1)^2/(0,0,0,1)^2/(0,0,0,0)^3/(1,3,0,0)/(1,1,0,0)^2/(1,1,0,1)^2/(1,1,1,0)^2/(1,1,1,1) ]")
# 36 : 15 other option& $ (1,1,0)^2/(0,1,1)$ & $
a[36]=expand("[(0,2,2,0)/(0,1,2,1)^2/(2,0,0,0)/(0,2,0,0)^3/(0,0,2,0)^4/(0,0,0,2)/(0,1,0,1)^2/(0,0,0,0)/(1,0,3,0)/(1,1,2,0)/(1,1,0,0)/(1,2,0,1)/(1,0,0,1)^2/(1,0,2,1)/(1,0,1,0)^2 ]")
lambda1[36]=expand("[(1,1,0)^2/(0,1,1)]")
#Deal with 37 and 38 seperatly
#37&$A_1D_6$ & $(0,(2,0,0,0)/(0,2,0,0)/$ & $
a[37]=expand("[(2,0,0,0)/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(2,2,0,0)/(2,0,2,0)/(2,0,0,2)/(0,2,2,0)/(0,2,0,2)/(0,0,2,2)/(1,1,1,1)^4/(0,0,0,0)^3]")
#lambda1[11]=[expand("[]")
#38&$A_1D_6$& $(\underline{1},(\underline{2},0,0,0)/(\underline{0},2,0,0)/$& $
a[38]=expand("[(2,1,1,1)^2/(0,1,1,1)^2/(2,0,0,0)^2/(0,2,0,0)/(0,0,2,0)/(0,0,0,2)/(2,2,0,0)/(2,0,2,0)/(2,0,0,2)/(0,2,2,0)/(0,2,0,2)/(0,0,2,2)]")
#lambda1[11]=[expand("[]")
tester28=expand("(0,2,0,0,0,0)/(0,0,2,0,0,0)/(0,0,0,2,0,0)/(0,0,0,0,2,0)/(0,0,0,0,0,2)/(0,0,2,2,0,0)/(0,0,2,0,2,0)/(0,0,2,0,0,2)/(0,0,0,2,2,0)/(0,0,0,2,0,2)/ (0,0,0,0,2,2)/(0,1,1,1,1,1)^2/(2,0,0,0,0,0)/(1,1,2,0,0,0)/(1,1,0,2,0,0)/(1,1,0,0,2,0)/(1,1,0,0,0,2)/(1,0,1,1,1,1)^2]")
t28=diagA1(tester28,2,3)
t=[(0,2,1,3),(2,3,4,5),(6,5,4,2),(0,1,1,1)]
orderList=order(3)
basisTest=[[0]]
problems=[]
basisTest=[[0]]
for i in range(1,37):
x=wedge2(lambda1[i])
y=lambda2fct(a[i])
lambda2[i]=y
lambda5[i] = lambda5fct(a[i])
basisTest.append(y)
temp=checker(x,basisTest,orderList)
if temp==-1:
print("////////////")
problems.append(i)
print(i)
print("Problem")
# else:
# print("Match!")
#print(problems)
orderList5=order(5)
basisA15=[[0]]
for i in range(1,37):
#print(latex(lambda1[i]))
#print(latex(lambda2[i]))
#print(latex(lambda5[i]))
LE8[i]=[]
LE8[i]=concat([(1,1)],lambda1[i])
LE8[i]=LE8[i]+concat([(1,0)],lambda5[i])
LE8[i]=LE8[i]+[(2,0,0,0,0),(0,2,0,0,0)]
LE8[i]=LE8[i]+concat([(0,0)],lambda2[i])
LE8[i]=LE8[i]+concat([(0,1)],lambda5[i])
#print(latex(LE8[i]))
if dimChecker(LE8[i])!=248:
print("LE8 does not have dim 248 at i=")
print(i)
## print(latex(lambda1[i]))
## print(latex(lambda2[i]))
## print(latex(lambda5[i]))
temp=checker(LE8[i],basisA15,orderList5)
#if temp!=-1:
# print("problem two of the LE8 are equal")
#if i==28:
# basisA15.append(t28)
basisA15.append(LE8[i])
LE8[37]=expand("[(0,0,0,0,0)^3/(0,2,0,0,0)/(0,0,2,0,0)/(0,0,0,2,0)/(0,0,0,0,2)/(0,2,2,0,0)/(0,2,0,2,0)/(0,2,0,0,2)/(0,0,2,2,0)/(0,0,2,0,2)/ (0,0,0,2,2)/(0,1,1,1,1)^4/(2,0,0,0,0)/(1,2,0,0,0)^2/(1,0,2,0,0)^2/(1,0,0,2,0)^2/(1,0,0,0,2)^2/(1,1,1,1,1)^2]")
basisA15.append(LE8[37])
LE8[38]=expand("[(0,2,0,0,0)/(0,2,0,0,0)/(0,0,2,0,0)/(0,0,0,2,0)/(0,0,0,0,2)/(0,2,2,0,0)/(0,2,0,2,0)/(0,2,0,0,2)/(0,0,2,2,0)/(0,0,2,0,2)/ (0,0,0,2,2)/(0,2,1,1,1)^2/(0,0,1,1,1)^2/(2,0,0,0,0)/(1,3,0,0,0)/(1,1,0,0,0)/(1,1,2,0,0)/(1,1,0,2,0)/(1,1,0,0,2)/(1,1,1,1,1)^2]")
LE8[38]=diagA1(tester28,1,2)
basisA15.append(LE8[38])
print(len(basisA15))
#Testing new elements
#This is as an alternative to case 8 with a different lambda5, turns out same as 34
temp=expand("[(1, 1, 1, 1, 0)^2/(1, 1, 0, 0, 1)^2/(1, 0, 2,0,1)/(1, 0,0,0,1 )^2/(1, 0,1,1,0 )^4/(1, 0,0,2,1 )/(2, 0, 0, 0, 0)/(0, 2, 0, 0, 0)/(0, 0, 2, 2, 0)/(0, 0, 2, 0, 0)^3/(0, 0, 0, 2, 0)^3/(0, 0, 0, 0, 2)/(0, 0, 1, 1, 1)^4/(0, 0, 0, 0, 0)^4/( 0,1, 2,0,1)/(0,1,0,0,1 )^2/(0,1,1,1,0 )^4/(0,1,0,2,1 )]")
#basisA15.append(temp)
#Potential additional elements of basis A15
#case 8 was (17) and (29), this is (29)===> this is basisA15[39]
l1t=expand("[(1,0,0)^2/(0,2,0)/(0,0,2)/(0,0,0)^2]")
l2t=wedge2(l1t)
#print("l2t:")
#print(l2t)
l5t=expand("[(1,1,1)^2/(0,1,1)^4]")
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5t)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5t)
print("Case 8: checker:")
print(dimChecker(Lt))
print(checker(Lt,basisA15,orderList5))
basisA15.append(Lt)
#Case 1 was (7) and (13), this is (7)====> basis A15[40 and 41]
l1t=expand("[(3,0,0)^2/(0,1,1)]")
l2t=wedge2(l1t)
l5t=expand("[(3,1,0)^2/(4,0,1)/(0,0,1)^3]")
l5tb=expand("[(3,0,1)^2/(4,1,0)/(0,1,0)^3]")
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5t)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5t)
#print("checker:")
#print(dimChecker(Lt))
#print(checker(Lt,basisA15,orderList5))
basisA15.append(Lt)
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5tb)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5tb)
#print("checker:")
#print(dimChecker(Lt))
#print(checker(Lt,basisA15,orderList5))
basisA15.append(Lt)
#Case 7 was (30) and this is (32)====> basis[42]
l1t=expand("[(1,1,0)/(0,0,1)^4]")
l2t=wedge2(l1t)
#print(l2t)
l5t=expand("[(1,0,1)^4/(0,1,2)/(0,1,0)^5]")
l5tb=expand("[(0,1,1)^4/(1,0,0)^5/(1,0,2)]")
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5t)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5t)
#print("checker:")
#print(dimChecker(Lt))
#print(checker(Lt,basisA15,orderList5))
basisA15.append(Lt)
#Second option is the same as the first
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5tb)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5tb)
#print("checker:")
#print(dimChecker(Lt))
#print(checker(Lt,basisA15,orderList5))
#basisA15.append(Lt)
#Case 19 which was conjugate to case 25 or 26 ==> basis[43 and 44]
l1t=expand("[(1,1,0)/(0,1,0)^2/(0,0,1)^2]")
l2t=wedge2(l1t)
print(l2t)
l5t=expand("[(1,1,0)^2/(1,0,1)^2/(0,2,1)/(0,0,1)/(0,1,0)^4]")
l5tb=expand("[(1,1,1)/(1,0,0)^4/(0,2,0)^2/(0,0,0)^2/(0,1,1)^2]")
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5t)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5t)
print("checker:")
print(dimChecker(Lt))
print(checker(Lt,basisA15,orderList5))
basisA15.append(Lt)
Lt=[]
Lt=concat([(1,1)],l1t)
Lt=Lt+concat([(1,0)],l5tb)
Lt=Lt+[(2,0,0,0,0),(0,2,0,0,0)]
Lt=Lt+concat([(0,0)],l2t)
Lt=Lt+concat([(0,1)],l5tb)
print("checker:")
print(dimChecker(Lt))
print(checker(Lt,basisA15,orderList5))
basisA15.append(Lt)
#A15 in E7
print("A15 in A16 obtained by removin the ith A1")
for i in range(1,len(basis2)):
print("i="+str(i))
a[i]=removeA1(basis2[i],1)
#print(dimChecker(a[i]))
print(checker(removeFirstA1(basis2[i]),basisA15,orderList5))
##
##
##print("Fixing case 4")
##for i in range(1,7):