S_n tables up to 12 built in 0.0s
S_4: p(m)=5 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_5: p(m)=7 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_6: p(m)=11 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_7: p(m)=15 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_8: p(m)=22 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_9: p(m)=30 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_10: p(m)=42 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_11: p(m)=56 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
S_12: p(m)=77 degrees(hook formula) True, exact diag orth True, column orth mod p True, chi_lam'=sgn*chi_lam True
n=4 C=((3, 1), 1) NO PERFECT MATCHING
n=4 C=((3, 1), -1) NO PERFECT MATCHING
n=4 k=4 perfect matching for all C: False  max|T(C)|=1  edges=19  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force n/a  time 0.0s
n=5 k=5 perfect matching for all C: True  max|T(C)|=3  edges=71  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force agree  time 0.0s
n=6 k=7 perfect matching for all C: True  max|T(C)|=3  edges=223  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force agree  time 0.0s
n=7 k=9 perfect matching for all C: True  max|T(C)|=3  edges=489  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force agree  time 0.0s
n=8 k=14 perfect matching for all C: True  max|T(C)|=5  edges=1904  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force agree  time 0.0s
n=9 k=18 perfect matching for all C: True  max|T(C)|=6  edges=4302  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force agree  time 0.0s
n=10 k=24 perfect matching for all C: True  max|T(C)|=6  edges=10659  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force agree  time 0.0s
n=11 k=31 perfect matching for all C: True  max|T(C)|=8  edges=23593  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force n/a  time 0.0s
n=12 k=43 perfect matching for all C: True  max|T(C)|=10  edges=63946  max Garner d3=0  support symmetry (C^-1) True  KC=CK True  brute force n/a  time 0.0s
DONE total 0.1s
