================================================================================
Koszul bimodule complex for permrack4_1230
  weight D=1: dim C_n (n=0..D) = [8, 4], ranks = [4, 4]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=2: dim C_n (n=0..D) = [20, 32, 14], ranks = [2, 18, 14]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=3: dim C_n (n=0..D) = [18, 80, 112, 49], ranks = [1, 17, 63, 49]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=4: dim C_n (n=0..D) = [14, 72, 280, 392, 171], ranks = [1, 13, 59, 221, 171]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=5: dim C_n (n=0..D) = [14, 56, 252, 980, 1368, 597], ranks = [1, 13, 43, 209, 771, 597]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
================================================================================
Koszul bimodule complex for permrack3_120
  weight D=1: dim C_n (n=0..D) = [6, 3], ranks = [3, 3]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=2: dim C_n (n=0..D) = [13, 18, 7], ranks = [2, 11, 7]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=3: dim C_n (n=0..D) = [14, 39, 42, 16], ranks = [1, 13, 26, 16]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=4: dim C_n (n=0..D) = [12, 42, 91, 96, 36], ranks = [1, 11, 31, 60, 36]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=5: dim C_n (n=0..D) = [12, 36, 98, 208, 216, 81], ranks = [1, 11, 25, 73, 135, 81]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=6: dim C_n (n=0..D) = [13, 36, 84, 224, 468, 486, 182], ranks = [1, 12, 24, 60, 164, 304, 182]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
================================================================================
Koszul bimodule complex for dihedral quandle R3
  weight D=1: dim C_n (n=0..D) = [6, 3], ranks = [3, 3]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=2: dim C_n (n=0..D) = [19, 18, 4], ranks = [5, 14, 4]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=3: dim C_n (n=0..D) = [42, 57, 24, 3], ranks = [6, 36, 21, 3]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=4: dim C_n (n=0..D) = [73, 126, 76, 18, 1], ranks = [6, 67, 59, 17, 1]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=5: dim C_n (n=0..D) = [108, 219, 168, 57, 6, 0], ranks = [6, 102, 117, 51, 6, 0]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): ACYCLIC
  weight D=6: dim C_n (n=0..D) = [144, 324, 292, 126, 19, 0, 0], ranks = [6, 138, 186, 106, 19, 0, 0]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): {3: 1}
  weight D=7: dim C_n (n=0..D) = [180, 432, 432, 219, 42, 0, 0, 0], ranks = [6, 174, 258, 174, 42, 0, 0, 0]
     homology of A(x)K(x)A (augmented; index -1 = coker of A(x)A->A): {3: 3}
