Cohomology of group number 762 of order 128

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128


General information on the group

  • The group has 3 minimal generators and exponent 4.
  • It is non-abelian.
  • It has p-Rank 4.
  • Its center has rank 2.
  • It has a unique conjugacy class of maximal elementary abelian subgroups, which is of rank 4.


Structure of the cohomology ring

General information

  • The cohomology ring is of dimension 4 and depth 2.
  • The depth coincides with the Duflot bound.
  • The Poincaré series is
    ( − 1) · (t4  −  t3  +  t2  +  1) · (t5  −  2·t4  −  1)

    (t  +  1) · (t  −  1)4 · (t2  +  1)2 · (t4  +  1)
  • The a-invariants are -∞,-∞,-5,-4,-4. They were obtained using the filter regular HSOP of the Benson test.

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Ring generators

The cohomology ring has 22 minimal generators of maximal degree 8:

  1. a_1_0, a nilpotent element of degree 1
  2. a_1_1, a nilpotent element of degree 1
  3. a_1_2, a nilpotent element of degree 1
  4. a_2_3, a nilpotent element of degree 2
  5. b_2_4, an element of degree 2
  6. b_2_5, an element of degree 2
  7. a_3_7, a nilpotent element of degree 3
  8. b_3_8, an element of degree 3
  9. a_4_7, a nilpotent element of degree 4
  10. b_4_11, an element of degree 4
  11. b_4_12, an element of degree 4
  12. b_4_13, an element of degree 4
  13. c_4_14, a Duflot regular element of degree 4
  14. a_5_18, a nilpotent element of degree 5
  15. a_5_19, a nilpotent element of degree 5
  16. b_5_20, an element of degree 5
  17. b_5_22, an element of degree 5
  18. b_6_33, an element of degree 6
  19. b_6_34, an element of degree 6
  20. b_7_42, an element of degree 7
  21. b_8_56, an element of degree 8
  22. c_8_58, a Duflot regular element of degree 8

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Ring relations

There are 165 minimal relations of maximal degree 16:

  1. a_1_12 + a_1_0·a_1_1 + a_1_02
  2. a_1_1·a_1_2
  3. a_1_0·a_1_2
  4. a_1_03
  5. a_1_23
  6. a_2_3·a_1_1
  7. a_2_3·a_1_0
  8. b_2_5·a_1_0 + b_2_4·a_1_1
  9. b_2_4·a_1_0·a_1_1 + a_2_3·a_1_22
  10. b_2_4·a_1_02
  11. a_1_1·a_3_7
  12. a_1_0·a_3_7
  13. a_1_2·a_3_7 + a_2_32 + a_2_3·a_1_22
  14. a_1_1·b_3_8 + b_2_5·a_1_22
  15. a_1_0·b_3_8 + b_2_4·a_1_22
  16. a_2_32·a_1_2
  17. b_2_4·b_2_5·a_1_1 + b_2_42·a_1_1
  18. a_1_22·b_3_8
  19. a_4_7·a_1_1
  20. a_4_7·a_1_0
  21. a_4_7·a_1_2 + a_2_3·a_3_7
  22. b_4_11·a_1_2 + b_2_4·a_3_7 + b_2_4·b_2_5·a_1_2 + b_2_42·a_1_2 + a_2_3·b_2_4·a_1_2
  23. b_4_12·a_1_0 + b_4_11·a_1_1 + b_4_11·a_1_0 + a_2_3·b_2_4·a_1_2
  24. b_4_12·a_1_2 + b_2_5·a_3_7 + b_2_4·a_3_7 + b_2_4·b_2_5·a_1_2 + b_2_42·a_1_2 + a_2_3·b_3_8
       + a_2_3·b_2_5·a_1_2
  25. b_4_13·a_1_1 + b_4_12·a_1_1 + b_2_52·a_1_1 + b_2_42·a_1_1 + a_2_3·b_2_5·a_1_2
  26. b_4_13·a_1_0 + b_4_11·a_1_1 + b_4_11·a_1_0 + b_2_42·a_1_1 + b_2_42·a_1_0
  27. b_4_13·a_1_2 + b_2_5·a_3_7 + b_2_52·a_1_2 + b_2_4·a_3_7 + b_2_4·b_2_5·a_1_2
       + a_2_3·b_2_5·a_1_2 + a_2_3·b_2_4·a_1_2
  28. a_3_72 + c_4_14·a_1_22
  29. a_3_72 + a_2_3·a_4_7
  30. b_4_11·a_1_0·a_1_1 + a_2_33
  31. b_4_11·a_1_02
  32. b_2_4·a_4_7 + a_2_3·b_4_11 + a_2_3·b_2_4·b_2_5 + a_2_3·b_2_42 + a_2_3·a_1_2·b_3_8
  33. a_3_7·b_3_8 + b_2_5·a_4_7 + b_2_4·a_4_7 + a_2_3·b_4_12 + a_2_3·b_2_4·b_2_5
       + a_2_3·b_2_42 + a_2_32·b_2_4 + a_2_33
  34. b_2_5·b_4_11 + b_2_4·b_4_13 + b_2_4·b_4_11 + b_2_42·b_2_5 + b_2_43 + b_2_5·a_1_2·b_3_8
       + b_2_4·a_1_2·b_3_8 + b_2_4·b_2_5·a_1_22 + b_2_42·a_1_22 + a_2_32·b_2_4
  35. b_2_5·a_4_7 + b_2_4·a_4_7 + a_2_3·b_4_13 + a_2_3·b_2_52 + a_2_3·b_2_4·b_2_5 + a_2_33
  36. a_1_2·a_5_18 + b_2_4·b_2_5·a_1_22 + b_2_42·a_1_22 + a_2_32·b_2_5
  37. a_1_1·a_5_19 + a_1_0·a_5_18 + a_2_3·a_1_2·b_3_8
  38. a_1_1·a_5_18 + a_1_0·a_5_19 + a_1_0·a_5_18 + a_2_33
  39. a_1_2·a_5_19 + b_2_4·b_2_5·a_1_22 + b_2_42·a_1_22 + a_2_32·b_2_5 + a_2_32·b_2_4
       + a_2_33
  40. a_1_1·b_5_20 + a_1_1·a_5_18 + a_2_32·b_2_5 + a_2_33
  41. a_1_0·b_5_20 + a_1_0·a_5_18 + a_2_32·b_2_4 + a_2_33
  42. a_3_7·b_3_8 + a_1_2·b_5_20 + b_2_42·a_1_22 + a_2_3·a_1_2·b_3_8 + a_2_32·b_2_5
  43. a_1_1·b_5_22 + a_1_1·a_5_18 + b_2_4·b_2_5·a_1_22 + a_2_32·b_2_5
  44. a_1_0·b_5_22 + a_1_0·a_5_18 + b_2_4·b_2_5·a_1_22 + a_2_32·b_2_4 + a_2_33
  45. b_3_82 + b_2_4·b_2_52 + b_2_42·b_2_5 + a_3_7·b_3_8 + a_1_2·b_5_22 + b_2_5·a_1_2·b_3_8
       + b_2_4·a_1_2·b_3_8 + b_2_52·a_1_22 + b_2_42·a_1_22 + a_2_3·a_1_2·b_3_8
       + a_2_32·b_2_5 + a_2_33
  46. a_4_7·a_3_7 + a_2_3·c_4_14·a_1_2
  47. b_4_11·a_3_7 + b_2_4·b_2_5·a_3_7 + b_2_42·a_3_7 + a_2_3·b_2_4·a_3_7 + a_2_32·b_3_8
       + b_2_4·c_4_14·a_1_2
  48. b_4_12·a_3_7 + a_4_7·b_3_8 + b_2_4·b_2_5·a_3_7 + b_2_42·a_3_7 + a_2_3·b_2_5·a_3_7
       + a_2_32·b_3_8 + b_2_5·c_4_14·a_1_2 + b_2_4·c_4_14·a_1_2
  49. b_2_4·b_4_12·a_1_1 + a_2_3·b_2_4·b_2_5·a_1_2 + a_2_32·b_3_8
  50. b_4_13·a_3_7 + b_2_52·a_3_7 + b_2_4·b_2_5·a_3_7 + a_2_3·b_2_5·a_3_7 + a_2_3·b_2_4·a_3_7
       + b_2_5·c_4_14·a_1_2 + b_2_4·c_4_14·a_1_2
  51. a_2_32·b_3_8 + a_1_02·a_5_18
  52. a_2_3·a_5_18 + a_2_3·b_2_5·a_3_7 + a_2_3·b_2_4·b_2_5·a_1_2 + a_2_3·b_2_42·a_1_2
  53. b_2_5·a_5_18 + b_2_5·b_4_12·a_1_1 + b_2_52·a_3_7 + b_2_4·a_5_19 + b_2_4·a_5_18
       + b_2_42·a_3_7 + a_2_3·b_2_4·a_3_7 + a_2_3·b_2_4·b_2_5·a_1_2 + a_2_3·b_2_42·a_1_2
       + a_2_32·b_3_8
  54. a_2_3·a_5_19 + a_2_3·b_2_5·a_3_7 + a_2_3·b_2_4·a_3_7 + a_2_3·b_2_4·b_2_5·a_1_2
       + a_2_3·b_2_42·a_1_2
  55. b_4_13·b_3_8 + b_4_11·b_3_8 + b_2_5·b_5_20 + b_2_52·b_3_8 + b_2_42·b_3_8 + b_2_5·a_5_18
       + b_2_5·b_4_12·a_1_1 + b_2_53·a_1_1 + b_2_42·b_2_5·a_1_2 + b_2_43·a_1_1
  56. b_4_11·b_3_8 + b_2_4·b_5_20 + b_2_4·b_2_5·b_3_8 + b_2_42·b_3_8 + b_2_4·a_5_18
       + b_2_4·b_4_11·a_1_1 + b_2_4·b_4_11·a_1_0 + b_2_4·b_2_52·a_1_2
       + a_2_3·b_2_4·b_2_5·a_1_2 + a_2_32·b_3_8
  57. a_4_7·b_3_8 + a_2_3·b_5_20 + a_2_3·b_2_5·a_3_7 + a_2_3·b_2_42·a_1_2
  58. a_1_22·b_5_22 + a_2_32·b_3_8
  59. b_6_33·a_1_1 + b_2_5·b_4_12·a_1_1 + a_2_3·b_2_5·a_3_7 + a_2_3·b_2_4·b_2_5·a_1_2
       + b_2_4·c_4_14·a_1_1
  60. b_6_33·a_1_0 + b_2_4·b_4_11·a_1_1 + b_2_4·b_4_11·a_1_0 + b_2_43·a_1_1 + b_2_43·a_1_0
       + a_2_3·b_2_4·a_3_7 + a_2_32·b_3_8 + a_1_02·a_5_19 + b_2_4·c_4_14·a_1_0
  61. b_6_33·a_1_2 + b_2_52·a_3_7 + b_2_42·a_3_7 + a_2_3·b_5_22 + a_2_3·b_2_5·b_3_8
       + a_2_3·b_2_5·a_3_7 + a_2_3·b_2_4·b_2_5·a_1_2 + a_2_3·b_2_42·a_1_2 + a_2_32·b_3_8
       + b_2_4·c_4_14·a_1_2
  62. b_6_34·a_1_1 + b_2_5·b_4_12·a_1_1 + b_2_53·a_1_1 + b_2_5·c_4_14·a_1_1
       + b_2_4·c_4_14·a_1_1
  63. b_6_34·a_1_0 + b_2_4·b_4_11·a_1_1 + b_2_4·b_4_11·a_1_0 + b_2_43·a_1_0
       + a_2_3·b_2_42·a_1_2 + a_2_32·b_3_8 + a_1_02·a_5_19 + b_2_4·c_4_14·a_1_1
       + b_2_4·c_4_14·a_1_0
  64. b_6_34·a_1_2 + a_4_7·b_3_8 + b_2_52·a_3_7 + b_2_53·a_1_2 + b_2_42·a_3_7 + a_2_3·b_5_22
       + a_2_3·b_2_5·b_3_8 + a_2_3·b_2_4·b_3_8 + a_2_32·b_3_8 + b_2_5·c_4_14·a_1_2
       + b_2_4·c_4_14·a_1_2
  65. a_4_72 + a_2_32·c_4_14
  66. b_4_112 + b_2_42·b_2_52 + b_2_44 + a_2_32·b_2_42 + b_2_42·c_4_14
  67. a_4_7·b_4_12 + a_4_7·b_4_11 + c_4_14·a_1_2·b_3_8 + a_2_3·b_2_5·c_4_14
       + b_2_4·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_22
  68. a_4_7·b_4_11 + a_2_3·b_2_4·b_4_13 + a_2_3·b_2_4·b_2_52 + a_2_3·b_2_42·b_2_5
       + a_2_32·b_4_12 + a_2_32·b_2_4·b_2_5 + a_2_32·b_2_42 + a_2_3·b_2_4·c_4_14
       + b_2_5·c_4_14·a_1_22 + b_2_4·c_4_14·a_1_22
  69. a_4_7·b_4_13 + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_53 + a_2_3·b_2_4·b_2_52
       + a_2_3·b_2_5·c_4_14 + a_2_3·b_2_4·c_4_14 + a_2_3·c_4_14·a_1_22
  70. b_4_132 + b_2_54 + b_2_42·b_2_52 + a_2_32·b_2_52 + a_2_32·b_2_42
       + b_2_52·c_4_14 + b_2_42·c_4_14
  71. b_4_11·b_4_13 + b_2_4·b_2_53 + b_2_42·b_4_13 + b_2_42·b_2_52 + a_4_7·b_4_11
       + b_2_52·a_1_2·b_3_8 + b_2_4·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_5·b_4_13
       + a_2_3·b_2_5·b_4_12 + a_2_3·b_2_53 + a_2_3·b_2_4·b_4_12 + a_2_3·b_2_43
       + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_4·a_1_2·b_3_8 + a_2_32·b_4_12
       + a_2_32·b_2_4·b_2_5 + b_2_4·b_2_5·c_4_14 + b_2_42·c_4_14 + a_2_3·b_2_4·c_4_14
       + b_2_5·c_4_14·a_1_22
  72. a_3_7·a_5_18 + a_2_32·b_2_4·b_2_5 + a_2_32·b_2_42 + b_2_5·c_4_14·a_1_22
  73. b_2_4·a_1_0·a_5_18 + a_2_3·b_2_4·a_1_2·b_3_8
  74. a_3_7·a_5_19 + a_2_32·b_2_4·b_2_5 + a_2_32·b_2_42 + b_2_5·c_4_14·a_1_22
       + b_2_4·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_22
  75. a_3_7·b_5_20 + a_2_32·b_4_12 + a_2_32·b_2_4·b_2_5 + c_4_14·a_1_2·b_3_8
       + b_2_4·c_4_14·a_1_22
  76. b_3_8·b_5_20 + b_4_122 + b_2_42·b_2_52 + b_2_44 + b_3_8·a_5_18
       + b_2_4·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_52 + a_2_3·b_2_42·b_2_5
       + b_2_42·b_2_5·a_1_22 + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_42 + b_2_52·c_4_14
       + b_2_42·c_4_14
  77. b_4_122 + b_2_4·b_2_5·b_4_13 + b_2_4·b_2_53 + b_2_44 + a_3_7·b_5_22 + a_4_7·b_4_11
       + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_5·b_4_12 + a_2_3·b_2_53 + a_2_3·b_2_4·b_4_12
       + a_2_3·b_2_4·b_2_52 + a_2_3·b_2_42·b_2_5 + a_2_3·b_2_43 + b_2_53·a_1_22
       + b_2_4·a_1_0·a_5_19 + b_2_42·b_2_5·a_1_22 + b_2_43·a_1_22
       + a_2_3·b_2_5·a_1_2·b_3_8 + b_2_52·c_4_14 + b_2_42·c_4_14 + c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_4·c_4_14 + b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_22
  78. b_3_8·a_5_19 + b_3_8·a_5_18 + a_4_7·b_4_11 + b_2_5·a_1_2·b_5_22
       + b_2_4·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_5·b_4_12 + a_2_3·b_2_53
       + a_2_3·b_2_4·b_4_12 + a_2_3·b_2_43 + b_2_53·a_1_22 + b_2_42·b_2_5·a_1_22
       + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_4·a_1_2·b_3_8 + a_2_32·b_2_52
       + a_2_32·b_2_4·b_2_5 + a_2_32·b_2_42 + a_2_3·b_2_4·c_4_14
  79. b_3_8·a_5_18 + a_4_7·b_4_11 + b_2_4·a_1_2·b_5_22 + b_2_42·a_1_2·b_3_8
       + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_5·b_4_12 + a_2_3·b_2_53 + a_2_3·b_2_4·b_4_12
       + a_2_3·b_2_43 + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_32·b_4_12 + a_2_32·b_2_52
       + a_2_32·b_2_4·b_2_5 + a_2_32·b_2_42 + a_2_3·b_2_4·c_4_14 + b_2_5·c_4_14·a_1_22
       + b_2_4·c_4_14·a_1_22
  80. b_2_4·a_1_0·a_5_19 + a_2_3·a_1_2·b_5_22 + a_2_3·b_2_4·a_1_2·b_3_8 + a_2_32·b_4_12
       + a_2_32·b_2_4·b_2_5 + a_2_32·b_2_42 + b_2_5·c_4_14·a_1_22
       + b_2_4·c_4_14·a_1_22
  81. b_4_122 + b_2_4·b_2_5·b_4_13 + b_2_4·b_2_53 + b_2_44 + a_2_3·b_6_33
       + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_53 + a_2_3·b_2_4·b_4_12 + a_2_3·b_2_43
       + b_2_53·a_1_22 + b_2_4·a_1_0·a_5_19 + b_2_42·b_2_5·a_1_22 + b_2_43·a_1_22
       + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_52 + b_2_52·c_4_14 + b_2_42·c_4_14
       + c_4_14·a_1_2·b_3_8 + a_2_3·b_2_4·c_4_14 + a_2_3·c_4_14·a_1_22
  82. b_4_12·b_4_13 + b_4_11·b_4_12 + b_2_5·b_6_34 + b_2_5·b_6_33 + b_2_52·b_4_12 + b_2_54
       + b_2_4·b_2_5·b_4_12 + b_2_42·b_4_12 + b_2_42·b_2_52 + b_2_43·b_2_5 + b_3_8·a_5_19
       + b_3_8·a_5_18 + b_2_4·b_2_5·a_1_2·b_3_8 + b_2_42·a_1_2·b_3_8 + a_2_3·b_2_5·b_4_12
       + a_2_3·b_2_4·b_2_52 + b_2_53·a_1_22 + b_2_4·a_1_0·a_5_19 + b_2_43·a_1_22
       + a_2_32·b_2_4·b_2_5 + b_2_4·b_2_5·c_4_14 + b_2_4·c_4_14·a_1_22
  83. b_4_11·b_4_12 + b_2_4·b_6_34 + b_2_4·b_6_33 + b_2_4·b_2_5·b_4_12 + b_2_4·b_2_53
       + b_2_43·b_2_5 + b_2_44 + b_3_8·a_5_18 + b_2_4·b_2_5·a_1_2·b_3_8 + b_2_42·a_1_2·b_3_8
       + a_2_3·b_2_4·b_4_12 + a_2_3·b_2_4·b_2_52 + a_2_3·b_2_42·b_2_5 + a_2_3·b_2_43
       + b_2_4·a_1_0·a_5_19 + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_52 + a_2_32·b_2_4·b_2_5
       + a_2_32·b_2_42 + b_2_42·c_4_14 + b_2_4·c_4_14·a_1_22
  84. b_4_122 + b_2_4·b_2_5·b_4_13 + b_2_4·b_2_53 + b_2_44 + a_4_7·b_4_11 + a_2_3·b_6_34
       + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_42·b_2_5 + b_2_53·a_1_22 + b_2_42·b_2_5·a_1_22
       + b_2_43·a_1_22 + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_52 + a_2_32·b_2_4·b_2_5
       + b_2_52·c_4_14 + b_2_42·c_4_14 + a_2_3·b_2_5·c_4_14 + b_2_5·c_4_14·a_1_22
       + a_2_3·c_4_14·a_1_22
  85. a_1_1·b_7_42 + b_2_42·b_2_5·a_1_22 + a_2_3·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_4·b_2_5
       + a_2_3·c_4_14·a_1_22
  86. a_1_0·b_7_42 + b_2_4·a_1_0·a_5_19 + b_2_43·a_1_22 + a_2_3·b_2_4·a_1_2·b_3_8
       + a_2_32·b_2_4·b_2_5 + a_2_3·c_4_14·a_1_22
  87. b_4_122 + b_2_4·b_2_5·b_4_13 + b_2_4·b_2_53 + b_2_44 + b_3_8·a_5_19 + b_3_8·a_5_18
       + a_1_2·b_7_42 + b_2_42·a_1_2·b_3_8 + a_2_3·b_2_5·b_4_13 + a_2_3·b_2_5·b_4_12
       + a_2_3·b_2_53 + a_2_3·b_2_4·b_2_52 + b_2_53·a_1_22 + b_2_4·a_1_0·a_5_19
       + a_2_32·b_2_52 + a_2_32·b_2_42 + b_2_52·c_4_14 + b_2_42·c_4_14 + a_2_32·c_4_14
  88. a_4_7·a_5_18 + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·a_3_7
       + a_2_3·b_2_5·c_4_14·a_1_2
  89. a_4_7·a_5_19 + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·a_3_7
       + a_2_3·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_4·c_4_14·a_1_2
  90. b_4_13·a_5_18 + b_4_11·a_5_19 + b_2_52·b_4_12·a_1_1 + b_2_53·a_3_7 + b_2_42·a_5_19
       + b_2_42·b_2_5·a_3_7 + b_2_52·c_4_14·a_1_2 + b_2_52·c_4_14·a_1_1
       + b_2_42·c_4_14·a_1_2 + b_2_42·c_4_14·a_1_1 + a_2_3·b_2_4·c_4_14·a_1_2
  91. a_4_7·b_5_20 + a_2_3·b_2_42·a_3_7 + a_2_3·c_4_14·b_3_8 + a_2_3·b_2_5·c_4_14·a_1_2
  92. b_4_13·b_5_20 + b_2_52·b_5_20 + b_2_4·b_2_5·b_5_20 + b_4_13·a_5_18 + b_2_53·a_3_7
       + b_2_4·b_2_5·a_5_19 + b_2_42·b_4_11·a_1_1 + b_2_42·b_4_11·a_1_0
       + b_2_42·b_2_5·a_3_7 + b_2_44·a_1_1 + b_2_44·a_1_0 + a_2_3·b_4_12·b_3_8
       + a_2_3·b_2_5·b_5_20 + a_2_3·b_2_4·b_5_20 + a_2_3·b_2_4·b_2_5·b_3_8
       + a_2_3·b_2_42·b_3_8 + a_2_3·b_2_53·a_1_2 + a_2_3·b_2_4·b_2_5·a_3_7
       + a_2_3·b_2_42·b_2_5·a_1_2 + a_2_3·b_2_43·a_1_2 + b_2_5·c_4_14·b_3_8
       + b_2_4·c_4_14·b_3_8 + b_2_52·c_4_14·a_1_1 + b_2_42·c_4_14·a_1_0
  93. b_4_11·b_5_20 + b_2_4·b_2_5·b_5_20 + b_2_42·b_5_20 + b_4_11·a_5_18 + b_2_42·a_5_19
       + b_2_42·b_4_11·a_1_1 + b_2_42·b_4_11·a_1_0 + b_2_43·a_3_7 + b_2_44·a_1_1
       + b_2_44·a_1_0 + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·a_3_7
       + a_2_3·b_2_42·b_2_5·a_1_2 + a_2_3·b_2_43·a_1_2 + b_2_4·c_4_14·b_3_8
       + b_2_42·c_4_14·a_1_1 + b_2_42·c_4_14·a_1_0
  94. b_4_13·a_5_19 + b_4_13·a_5_18 + b_4_12·a_5_19 + b_4_12·a_5_18 + b_2_52·a_5_19
       + b_2_52·b_4_12·a_1_1 + b_2_53·a_3_7 + b_2_4·b_2_5·a_5_19 + b_2_43·a_3_7
       + a_2_3·b_4_12·b_3_8 + a_2_3·b_2_5·b_5_22 + a_2_3·b_2_42·b_3_8 + a_2_3·b_2_52·a_3_7
       + a_2_3·b_2_53·a_1_2 + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·b_2_5·a_1_2
       + a_2_3·b_2_43·a_1_2
  95. b_4_13·a_5_18 + b_4_12·a_5_18 + b_2_52·b_4_12·a_1_1 + b_2_53·a_3_7
       + b_2_4·b_2_5·a_5_19 + b_2_42·a_5_19 + b_2_43·a_3_7 + a_2_3·b_4_12·b_3_8
       + a_2_3·b_2_4·b_5_22 + a_2_3·b_2_4·b_2_5·b_3_8 + a_2_3·b_2_52·a_3_7
       + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·b_2_5·a_1_2
  96. a_2_32·b_5_22
  97. a_1_2·b_3_8·b_5_22 + b_2_4·b_2_5·a_5_19 + b_2_42·b_2_52·a_1_2 + b_2_43·b_2_5·a_1_2
       + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·b_2_5·a_1_2
  98. b_6_33·a_3_7 + a_4_7·b_5_22 + a_2_3·b_2_5·b_5_20 + a_2_3·b_2_52·a_3_7
       + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·a_3_7 + a_2_3·b_2_42·b_2_5·a_1_2
       + b_2_52·c_4_14·a_1_2 + b_2_4·c_4_14·a_3_7 + b_2_42·c_4_14·a_1_2
       + a_2_3·b_2_5·c_4_14·a_1_2
  99. b_6_33·b_3_8 + b_4_13·b_5_22 + b_4_12·b_5_22 + b_2_5·b_4_12·b_3_8 + b_2_52·b_5_22
       + b_2_4·b_2_5·b_5_20 + b_2_4·b_2_52·b_3_8 + b_2_42·b_5_22 + b_2_42·b_5_20
       + b_2_42·b_2_5·b_3_8 + b_2_4·b_2_5·a_5_19 + b_2_4·b_2_53·a_1_2 + b_2_42·a_5_19
       + b_2_42·b_4_11·a_1_1 + b_2_42·b_4_11·a_1_0 + b_2_42·b_2_5·a_3_7 + b_2_43·a_3_7
       + b_2_43·b_2_5·a_1_2 + a_2_3·b_4_12·b_3_8 + a_2_3·b_2_52·b_3_8 + a_2_3·b_2_42·b_3_8
       + a_2_3·b_2_52·a_3_7 + a_2_3·b_2_53·a_1_2 + a_2_3·b_2_4·b_2_5·a_3_7
       + a_2_3·b_2_42·a_3_7 + a_2_3·b_2_43·a_1_2 + b_2_4·c_4_14·b_3_8
  100. b_6_34·a_3_7 + a_4_7·b_5_22 + b_2_53·a_3_7 + a_2_3·b_2_5·b_5_20 + a_2_3·b_2_4·b_5_20
       + a_2_3·b_2_52·a_3_7 + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·b_2_42·b_2_5·a_1_2
       + a_2_3·b_2_43·a_1_2 + b_2_5·c_4_14·a_3_7 + b_2_52·c_4_14·a_1_2 + b_2_4·c_4_14·a_3_7
       + b_2_42·c_4_14·a_1_2 + a_2_3·c_4_14·b_3_8
  101. b_6_34·b_3_8 + b_4_13·b_5_22 + b_4_12·b_5_22 + b_4_12·b_5_20 + b_2_5·b_4_12·b_3_8
       + b_2_52·b_5_22 + b_2_53·b_3_8 + b_2_4·b_4_12·b_3_8 + b_2_4·b_2_5·b_5_20
       + b_2_4·b_2_52·b_3_8 + b_2_42·b_5_22 + b_2_42·b_5_20 + b_2_43·b_3_8 + b_4_12·a_5_18
       + b_2_52·b_4_12·a_1_1 + b_2_4·b_2_53·a_1_2 + b_2_42·a_5_19 + b_2_42·b_4_11·a_1_1
       + b_2_42·b_4_11·a_1_0 + b_2_42·b_2_5·a_3_7 + b_2_42·b_2_52·a_1_2 + b_2_43·a_3_7
       + b_2_44·a_1_1 + b_2_44·a_1_0 + a_2_3·b_4_12·b_3_8 + a_2_3·b_2_5·b_5_20
       + a_2_3·b_2_52·b_3_8 + a_2_3·b_2_4·b_5_20 + a_2_3·b_2_42·b_3_8 + a_2_3·b_2_53·a_1_2
       + a_2_3·b_2_42·b_2_5·a_1_2 + a_2_3·b_2_43·a_1_2 + b_2_52·c_4_14·a_1_1
       + b_2_42·c_4_14·a_1_0
  102. b_4_13·b_5_22 + b_4_11·b_5_22 + b_2_5·b_7_42 + b_2_52·b_5_20 + b_2_4·b_2_52·b_3_8
       + b_2_42·b_5_22 + b_2_42·b_2_5·b_3_8 + b_4_13·a_5_19 + b_4_12·a_5_19 + b_4_12·a_5_18
       + b_4_11·a_5_18 + b_2_52·b_4_12·a_1_1 + b_2_54·a_1_2 + b_2_54·a_1_1
       + b_2_4·b_2_53·a_1_2 + b_2_42·a_5_18 + b_2_42·b_2_5·a_3_7 + b_2_42·b_2_52·a_1_2
       + b_2_43·a_3_7 + a_2_3·b_4_12·b_3_8 + a_2_3·b_2_52·b_3_8 + a_2_3·b_2_4·b_2_5·b_3_8
       + a_2_3·b_2_42·b_3_8 + a_2_3·b_2_43·a_1_2 + b_2_5·c_4_14·b_3_8 + b_2_5·c_4_14·a_3_7
       + b_2_52·c_4_14·a_1_1 + b_2_42·c_4_14·a_1_1
  103. b_4_11·b_5_22 + b_2_4·b_7_42 + b_2_4·b_2_5·b_5_20 + b_2_42·b_5_22 + b_2_42·b_2_5·b_3_8
       + b_2_43·b_3_8 + b_4_13·a_5_18 + b_4_12·a_5_18 + b_4_11·a_5_18 + b_2_52·b_4_12·a_1_1
       + b_2_53·a_3_7 + b_2_4·b_2_5·a_5_19 + b_2_4·b_2_53·a_1_2 + b_2_42·a_5_19
       + b_2_42·a_5_18 + b_2_42·b_2_5·a_3_7 + b_2_43·b_2_5·a_1_2 + b_2_44·a_1_2
       + b_2_44·a_1_1 + a_2_3·b_2_5·b_5_20 + a_2_3·b_2_4·b_5_20 + a_2_3·b_2_4·b_2_5·b_3_8
       + a_2_3·b_2_43·a_1_2 + b_2_4·c_4_14·b_3_8 + b_2_4·c_4_14·a_3_7
  104. b_4_13·a_5_19 + b_4_13·a_5_18 + b_4_12·a_5_19 + b_4_12·a_5_18 + a_4_7·b_5_22
       + b_2_52·a_5_19 + b_2_52·b_4_12·a_1_1 + b_2_53·a_3_7 + b_2_4·b_2_5·a_5_19
       + b_2_43·a_3_7 + a_2_3·b_7_42 + a_2_3·b_4_12·b_3_8 + a_2_3·b_2_5·b_5_20
       + a_2_3·b_2_4·b_2_5·b_3_8 + a_2_3·b_2_4·b_2_5·a_3_7 + a_2_3·c_4_14·b_3_8
       + a_2_3·c_4_14·a_3_7 + a_2_3·b_2_5·c_4_14·a_1_2
  105. b_8_56·a_1_1 + b_2_52·b_4_12·a_1_1 + b_2_54·a_1_1 + a_2_3·b_2_52·a_3_7
       + a_2_3·b_2_53·a_1_2 + a_2_3·b_2_4·b_2_5·a_3_7
  106. b_8_56·a_1_0 + b_2_42·b_4_11·a_1_1 + b_2_42·b_4_11·a_1_0 + b_2_44·a_1_0
       + b_2_42·c_4_14·a_1_1 + b_2_42·c_4_14·a_1_0
  107. b_8_56·a_1_2 + b_4_13·a_5_19 + b_4_12·a_5_19 + a_4_7·b_5_22 + b_2_52·a_5_19
       + b_2_53·a_3_7 + b_2_54·a_1_2 + b_2_4·b_2_5·a_5_19 + b_2_4·b_2_53·a_1_2
       + b_2_42·a_5_19 + b_2_43·a_3_7 + b_2_43·b_2_5·a_1_2 + a_2_3·b_2_4·b_5_20
       + a_2_3·b_2_4·b_2_5·b_3_8 + a_2_3·b_2_42·b_3_8 + a_2_3·b_2_53·a_1_2
       + a_2_3·b_2_42·a_3_7 + a_2_3·b_2_43·a_1_2 + b_2_4·b_2_5·c_4_14·a_1_2
       + b_2_42·c_4_14·a_1_2 + a_2_3·c_4_14·b_3_8 + a_2_3·c_4_14·a_3_7
       + a_2_3·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_4·c_4_14·a_1_2
  108. b_4_11·a_1_0·a_5_18 + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_42·a_1_2·b_3_8
       + a_2_32·b_2_4·b_4_12 + a_2_32·b_2_42·b_2_5 + a_2_32·b_2_43
       + b_2_4·b_2_5·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22
  109. a_5_192 + a_5_18·a_5_19 + a_5_182 + b_4_11·a_1_0·a_5_19 + b_2_43·b_2_5·a_1_22
       + b_2_44·a_1_22 + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_42·a_1_2·b_3_8
       + a_2_32·b_2_5·b_4_12 + a_2_32·b_2_4·b_4_12 + b_2_4·b_2_5·c_4_14·a_1_22
  110. b_5_202 + a_5_182 + b_2_43·b_2_5·a_1_22 + b_2_4·b_2_52·c_4_14
       + b_2_42·b_2_5·c_4_14 + c_4_14·a_1_2·b_5_22 + b_2_5·c_4_14·a_1_2·b_3_8
       + b_2_4·c_4_14·a_1_2·b_3_8 + a_2_3·b_4_13·c_4_14 + a_2_3·b_4_12·c_4_14
       + a_2_3·b_2_52·c_4_14 + a_2_3·b_2_42·c_4_14 + b_2_52·c_4_14·a_1_22
       + b_2_42·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_5·c_4_14
       + a_2_32·b_2_4·c_4_14 + a_2_33·c_4_14
  111. a_5_19·b_5_22 + a_5_19·b_5_20 + a_5_18·b_5_22 + b_2_4·b_2_5·a_1_2·b_5_22
       + b_2_4·b_2_52·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_5·b_4_13 + a_2_3·b_2_4·b_2_5·b_4_12
       + a_2_3·b_2_4·b_2_53 + a_2_3·b_2_42·b_4_13 + a_2_3·b_2_42·b_4_12
       + a_2_3·b_2_42·b_2_52 + a_2_3·b_2_43·b_2_5 + a_2_3·b_2_44 + a_5_192
       + a_5_18·a_5_19 + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22 + a_2_32·b_2_43
       + b_2_5·c_4_14·a_1_2·b_3_8 + b_2_4·b_2_5·c_4_14·a_1_22
  112. a_5_19·b_5_20 + a_5_18·b_5_22 + b_2_42·a_1_2·b_5_22 + b_2_42·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·b_4_13 + a_2_3·b_2_4·b_2_5·b_4_12 + a_2_3·b_2_4·b_2_53
       + a_2_3·b_2_42·b_4_13 + a_2_3·b_2_42·b_4_12 + a_2_3·b_2_42·b_2_52
       + a_2_3·b_2_43·b_2_5 + a_2_3·b_2_44 + a_5_192 + a_2_3·b_2_52·a_1_2·b_3_8
       + a_2_32·b_2_53 + b_2_4·c_4_14·a_1_2·b_3_8 + b_2_52·c_4_14·a_1_22
       + b_2_4·b_2_5·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8
  113. a_5_19·b_5_20 + a_5_18·b_5_20 + a_2_3·b_2_5·b_6_33 + a_2_3·b_2_52·b_4_12
       + a_2_3·b_2_4·b_2_5·b_4_12 + a_2_3·b_2_4·b_2_53 + a_2_3·b_2_43·b_2_5 + a_5_192
       + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22 + a_2_3·b_2_52·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_43 + b_2_5·c_4_14·a_1_2·b_3_8
       + b_2_4·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_5·c_4_14 + b_2_52·c_4_14·a_1_22
       + b_2_4·b_2_5·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8
  114. a_5_18·b_5_20 + a_2_3·b_2_4·b_6_33 + a_2_3·b_2_4·b_2_5·b_4_12 + a_2_3·b_2_42·b_4_12
       + a_2_3·b_2_42·b_2_52 + a_2_3·b_2_44 + a_5_192 + a_5_18·a_5_19
       + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22 + a_2_32·b_2_5·b_4_12
       + a_2_32·b_2_42·b_2_5 + b_2_5·c_4_14·a_1_2·b_3_8 + b_2_4·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_42·c_4_14 + b_2_52·c_4_14·a_1_22
  115. b_5_202 + a_4_7·b_6_33 + a_5_192 + a_5_18·a_5_19 + b_2_44·a_1_22
       + a_2_32·b_2_42·b_2_5 + a_2_32·b_2_43 + b_2_4·b_2_52·c_4_14
       + b_2_42·b_2_5·c_4_14 + b_2_4·c_4_14·a_1_2·b_3_8 + a_2_3·b_4_13·c_4_14
       + a_2_3·b_4_12·c_4_14 + a_2_3·b_4_11·c_4_14 + a_2_3·b_2_4·b_2_5·c_4_14
       + a_2_3·b_2_42·c_4_14 + b_2_52·c_4_14·a_1_22 + a_2_32·b_2_4·c_4_14
       + a_2_33·c_4_14
  116. a_5_192 + a_5_18·a_5_19 + a_5_182 + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22
       + a_2_32·b_6_33 + a_2_32·b_2_42·b_2_5 + a_2_32·b_2_43
       + b_2_4·b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_4·c_4_14
  117. b_5_202 + b_4_12·b_6_34 + b_4_12·b_6_33 + b_2_53·b_4_12 + b_2_42·b_2_5·b_4_12
       + b_2_43·b_4_13 + b_2_43·b_4_12 + b_2_44·b_2_5 + b_2_45 + a_5_19·b_5_22
       + a_5_19·b_5_20 + a_5_18·b_5_20 + b_2_4·b_2_52·a_1_2·b_3_8 + b_2_43·a_1_2·b_3_8
       + a_2_3·b_3_8·b_5_22 + a_2_3·b_2_4·b_2_5·b_4_13 + a_2_3·b_2_4·b_2_5·b_4_12
       + a_2_3·b_2_4·b_2_53 + a_2_3·b_2_42·b_4_12 + a_2_3·b_2_42·b_2_52
       + a_2_3·b_2_43·b_2_5 + a_2_3·b_2_44 + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22
       + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_53 + b_2_5·b_4_13·c_4_14
       + b_2_53·c_4_14 + b_2_4·b_4_13·c_4_14 + b_2_4·b_4_12·c_4_14 + b_2_4·b_2_52·c_4_14
       + b_2_42·b_2_5·c_4_14 + b_2_43·c_4_14 + b_2_4·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_52·c_4_14 + a_2_3·b_2_42·c_4_14 + b_2_42·c_4_14·a_1_22
       + a_2_3·c_4_14·a_1_2·b_3_8
  118. b_5_20·b_5_22 + b_4_13·b_6_33 + b_4_12·b_6_33 + b_2_52·b_6_34 + b_2_55
       + b_2_4·b_2_52·b_4_12 + b_2_42·b_6_34 + b_2_43·b_4_13 + b_2_43·b_4_12 + b_2_45
       + a_5_19·b_5_22 + a_5_19·b_5_20 + a_5_18·b_5_22 + a_5_18·b_5_20 + b_2_52·a_1_2·b_5_22
       + b_2_42·b_2_5·a_1_2·b_3_8 + b_2_43·a_1_2·b_3_8 + a_2_3·b_2_52·b_4_12
       + a_2_3·b_2_4·b_2_5·b_4_13 + a_2_3·b_2_4·b_2_5·b_4_12 + a_2_3·b_2_4·b_2_53
       + a_2_3·b_2_42·b_4_12 + a_2_3·b_2_44 + a_5_192 + a_5_18·a_5_19 + b_2_54·a_1_22
       + b_2_44·a_1_22 + a_2_3·b_2_52·a_1_2·b_3_8 + a_2_32·b_2_5·b_4_12
       + a_2_32·b_2_4·b_4_12 + b_2_53·c_4_14 + b_2_4·b_4_13·c_4_14 + b_2_4·b_4_12·c_4_14
       + b_2_4·b_2_52·c_4_14 + b_2_42·b_2_5·c_4_14 + b_2_43·c_4_14
       + b_2_4·c_4_14·a_1_2·b_3_8 + b_2_52·c_4_14·a_1_22
  119. b_5_202 + a_4_7·b_6_34 + a_2_3·b_2_52·b_4_13 + a_2_3·b_2_54
       + a_2_3·b_2_4·b_2_5·b_4_13 + a_2_3·b_2_42·b_4_13 + a_2_3·b_2_42·b_4_11
       + a_2_3·b_2_44 + a_5_182 + b_2_43·b_2_5·a_1_22 + a_2_3·b_2_42·a_1_2·b_3_8
       + a_2_32·b_2_5·b_4_12 + b_2_4·b_2_52·c_4_14 + b_2_42·b_2_5·c_4_14
       + a_2_3·b_4_13·c_4_14 + a_2_3·b_2_4·b_2_5·c_4_14 + a_2_3·b_2_42·c_4_14
       + b_2_52·c_4_14·a_1_22 + b_2_4·b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8
       + a_2_32·b_2_5·c_4_14
  120. b_5_20·b_5_22 + b_4_13·b_6_34 + b_4_12·b_6_33 + b_2_52·b_6_33 + b_2_53·b_4_13
       + b_2_4·b_2_52·b_4_12 + b_2_42·b_6_33 + b_2_42·b_2_5·b_4_13 + b_2_42·b_2_5·b_4_12
       + b_2_43·b_2_52 + b_2_44·b_2_5 + a_5_18·b_5_22 + a_5_18·b_5_20 + b_2_52·a_1_2·b_5_22
       + b_2_4·b_2_52·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_3_8 + a_2_3·b_2_52·b_4_12
       + a_2_3·b_2_42·b_2_52 + a_2_3·b_2_43·b_2_5 + a_5_192 + a_5_18·a_5_19
       + b_2_54·a_1_22 + b_2_44·a_1_22 + a_2_3·b_2_52·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_5·b_4_12 + a_2_32·b_2_4·b_4_12
       + a_2_32·b_2_42·b_2_5 + a_2_32·b_2_43 + b_2_5·b_4_12·c_4_14 + b_2_53·c_4_14
       + b_2_42·b_2_5·c_4_14 + b_2_4·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_52·c_4_14
       + a_2_3·b_2_42·c_4_14 + b_2_4·b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8
  121. b_4_11·b_6_34 + b_4_11·b_6_33 + b_2_4·b_2_5·b_6_34 + b_2_4·b_2_5·b_6_33
       + b_2_4·b_2_52·b_4_13 + b_2_4·b_2_54 + b_2_42·b_2_5·b_4_13 + b_2_42·b_2_53
       + b_2_43·b_4_12 + b_2_43·b_4_11 + b_2_43·b_2_52 + a_5_19·b_5_20 + a_5_18·b_5_22
       + a_5_18·b_5_20 + b_2_53·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·b_4_12 + a_2_3·b_2_42·b_4_11 + a_2_3·b_2_44 + a_5_192
       + a_5_182 + a_2_3·b_2_52·a_1_2·b_3_8 + a_2_32·b_2_53 + a_2_32·b_2_4·b_4_12
       + a_2_32·b_2_42·b_2_5 + b_2_4·b_4_12·c_4_14 + b_2_4·b_4_11·c_4_14
       + b_2_42·b_2_5·c_4_14 + a_2_3·b_2_4·b_2_5·c_4_14 + a_2_3·b_2_42·c_4_14
       + a_2_3·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_4·c_4_14
  122. b_5_202 + a_5_19·b_5_20 + a_5_18·b_5_20 + a_3_7·b_7_42 + a_2_3·b_2_42·b_4_13
       + a_2_3·b_2_42·b_4_12 + a_2_3·b_2_42·b_2_52 + a_2_3·b_2_44 + a_5_192 + a_5_182
       + b_2_44·a_1_22 + a_2_3·b_2_52·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8
       + a_2_32·b_2_5·b_4_12 + a_2_32·b_2_4·b_4_12 + b_2_4·b_2_52·c_4_14
       + b_2_42·b_2_5·c_4_14 + b_2_5·c_4_14·a_1_2·b_3_8 + b_2_4·b_2_5·c_4_14·a_1_22
       + b_2_42·c_4_14·a_1_22 + a_2_33·c_4_14 + c_4_142·a_1_22
  123. b_5_20·b_5_22 + b_5_202 + b_3_8·b_7_42 + b_2_5·b_3_8·b_5_22 + b_2_4·b_2_52·b_4_13
       + b_2_4·b_2_54 + b_2_44·b_2_5 + a_5_19·b_5_22 + a_5_19·b_5_20 + a_5_18·b_5_22
       + b_2_52·a_1_2·b_5_22 + b_2_53·a_1_2·b_3_8 + b_2_4·b_2_52·a_1_2·b_3_8
       + a_2_3·b_3_8·b_5_22 + a_2_3·b_2_4·b_2_5·b_4_13 + a_2_3·b_2_4·b_2_5·b_4_12 + a_5_192
       + a_5_18·a_5_19 + b_2_54·a_1_22 + b_2_44·a_1_22 + a_2_32·b_2_5·b_4_12
       + a_2_32·b_2_53 + a_2_32·b_2_43 + b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_4_13·c_4_14
       + a_2_3·b_4_12·c_4_14 + a_2_3·b_2_52·c_4_14 + a_2_3·b_2_42·c_4_14
       + b_2_52·c_4_14·a_1_22 + b_2_4·b_2_5·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22
       + a_2_32·b_2_4·c_4_14
  124. a_5_192 + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22 + c_8_58·a_1_0·a_1_1
       + b_2_52·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22
  125. a_5_182 + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22 + c_8_58·a_1_02
       + b_2_52·c_4_14·a_1_22
  126. b_5_222 + b_5_202 + b_2_42·b_2_53 + b_2_43·b_2_52 + a_5_19·b_5_22
       + a_5_19·b_5_20 + a_5_18·b_5_22 + b_2_4·b_2_52·a_1_2·b_3_8 + a_2_3·b_2_42·b_4_13
       + a_2_3·b_2_42·b_4_12 + a_2_3·b_2_42·b_2_52 + a_2_3·b_2_44 + a_5_192
       + a_5_18·a_5_19 + b_2_54·a_1_22 + b_2_43·b_2_5·a_1_22 + b_2_44·a_1_22
       + a_2_3·b_2_52·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_42·a_1_2·b_3_8 + a_2_32·b_2_5·b_4_12 + a_2_32·b_2_4·b_4_12
       + a_2_32·b_2_43 + b_2_5·c_4_14·a_1_2·b_3_8 + c_8_58·a_1_22
       + b_2_52·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8
       + a_2_33·c_4_14
  127. b_4_13·b_6_33 + b_4_11·b_6_33 + b_2_5·b_3_8·b_5_22 + b_2_5·b_8_56 + b_2_52·b_6_34
       + b_2_52·b_6_33 + b_2_53·b_4_13 + b_2_53·b_4_12 + b_2_55 + b_2_4·b_2_5·b_6_34
       + b_2_4·b_2_52·b_4_13 + b_2_4·b_2_54 + b_2_42·b_6_33 + b_2_42·b_2_5·b_4_13
       + b_2_42·b_2_5·b_4_12 + b_2_44·b_2_5 + a_5_19·b_5_22 + a_5_19·b_5_20 + a_5_18·b_5_22
       + b_2_53·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_3_8 + a_2_3·b_3_8·b_5_22
       + a_2_3·b_2_52·b_4_12 + a_2_3·b_2_42·b_4_13 + a_2_3·b_2_42·b_4_11
       + a_2_3·b_2_42·b_2_52 + a_2_3·b_2_44 + a_5_182 + b_2_54·a_1_22
       + b_2_43·b_2_5·a_1_22 + a_2_32·b_2_5·b_4_12 + a_2_32·b_2_53
       + a_2_32·b_2_4·b_4_12 + a_2_32·b_2_42·b_2_5 + a_2_32·b_2_43 + b_2_5·b_4_13·c_4_14
       + b_2_5·b_4_12·c_4_14 + b_2_53·c_4_14 + b_2_4·b_4_13·c_4_14 + b_2_4·b_4_11·c_4_14
       + b_2_43·c_4_14 + a_2_3·b_4_13·c_4_14 + a_2_3·b_4_11·c_4_14 + a_2_3·b_2_52·c_4_14
       + a_2_3·b_2_42·c_4_14 + b_2_52·c_4_14·a_1_22 + b_2_42·c_4_14·a_1_22
       + a_2_33·c_4_14
  128. b_5_20·b_5_22 + b_4_13·b_6_33 + b_4_12·b_6_33 + b_4_11·b_6_33 + b_2_52·b_6_34 + b_2_55
       + b_2_4·b_3_8·b_5_22 + b_2_4·b_8_56 + b_2_4·b_2_5·b_6_34 + b_2_4·b_2_5·b_6_33
       + b_2_4·b_2_52·b_4_13 + b_2_4·b_2_54 + b_2_42·b_6_33 + b_2_42·b_2_5·b_4_13
       + b_2_42·b_2_53 + a_5_19·b_5_22 + a_5_18·b_5_20 + b_2_52·a_1_2·b_5_22
       + b_2_4·b_2_52·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_3_8 + a_2_3·b_3_8·b_5_22
       + a_2_3·b_2_52·b_4_13 + a_2_3·b_2_54 + a_2_3·b_2_4·b_2_5·b_4_13
       + a_2_3·b_2_42·b_4_13 + a_2_3·b_2_42·b_4_11 + a_2_3·b_2_44 + a_5_192 + a_5_182
       + b_2_54·a_1_22 + b_2_43·b_2_5·a_1_22 + a_2_3·b_2_52·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_5·b_4_12 + a_2_32·b_2_53
       + a_2_32·b_2_4·b_4_12 + b_2_53·c_4_14 + b_2_4·b_4_11·c_4_14 + b_2_42·b_2_5·c_4_14
       + b_2_4·c_4_14·a_1_2·b_3_8 + a_2_3·b_4_11·c_4_14 + a_2_3·b_2_4·b_2_5·c_4_14
       + a_2_3·b_2_42·c_4_14 + b_2_52·c_4_14·a_1_22
  129. b_5_202 + a_5_19·b_5_20 + a_2_3·b_3_8·b_5_22 + a_2_3·b_8_56 + a_2_3·b_2_52·b_4_13
       + a_2_3·b_2_4·b_2_5·b_4_12 + a_2_3·b_2_42·b_4_12 + a_2_3·b_2_44 + a_5_192
       + b_2_44·a_1_22 + a_2_32·b_2_4·b_4_12 + a_2_32·b_2_42·b_2_5 + a_2_32·b_2_43
       + b_2_4·b_2_52·c_4_14 + b_2_42·b_2_5·c_4_14 + b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·c_4_14 + a_2_3·b_2_42·c_4_14 + b_2_4·b_2_5·c_4_14·a_1_22
       + b_2_42·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_4·c_4_14
       + a_2_33·c_4_14 + c_4_142·a_1_22
  130. b_6_33·a_5_19 + b_6_33·a_5_18 + b_2_5·b_4_12·a_5_19 + b_2_4·b_4_12·a_5_19
       + b_2_4·b_4_11·a_5_19 + b_2_4·b_2_52·a_5_19 + b_2_42·b_2_5·a_5_19
       + a_2_3·b_4_12·b_5_22 + a_2_3·b_2_52·b_5_20 + a_2_3·b_2_4·b_4_12·b_3_8
       + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_42·b_5_20 + a_2_3·b_2_42·b_2_5·b_3_8
       + a_2_3·b_2_53·a_3_7 + b_2_53·c_4_14·a_1_2 + b_2_53·c_4_14·a_1_1
       + b_2_4·c_4_14·a_5_19 + b_2_4·c_4_14·a_5_18 + b_2_4·b_2_52·c_4_14·a_1_2
       + b_2_42·b_2_5·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_1
       + a_2_3·b_2_5·c_4_14·b_3_8 + a_2_3·b_2_52·c_4_14·a_1_2
       + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_42·c_4_14·a_1_2 + c_4_14·a_1_02·a_5_18
  131. b_6_34·a_5_19 + b_6_33·a_5_19 + b_2_53·a_5_19 + b_2_4·b_4_12·a_5_19
       + b_2_4·b_4_11·a_5_19 + a_2_3·b_4_12·b_5_22 + a_2_3·b_2_4·b_4_12·b_3_8
       + a_2_3·b_2_4·b_2_5·b_5_22 + a_2_3·b_2_42·b_5_22 + a_2_3·b_2_42·b_2_5·b_3_8
       + a_2_3·b_2_43·b_3_8 + a_2_3·b_2_53·a_3_7 + b_2_5·c_4_14·a_5_19
       + a_2_3·b_2_52·c_4_14·a_1_2 + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2 + c_4_14·a_1_02·a_5_18
  132. b_6_34·b_5_20 + b_6_33·b_5_20 + b_2_53·b_5_20 + b_2_4·b_4_12·b_5_20
       + b_2_42·b_2_5·b_5_20 + b_2_43·b_5_20 + b_6_34·a_5_18 + b_6_33·a_5_19
       + b_2_5·b_4_12·a_5_19 + b_2_53·b_4_12·a_1_1 + b_2_54·a_3_7 + b_2_4·b_4_11·a_5_19
       + b_2_42·b_2_5·a_5_19 + b_2_43·a_5_18 + b_2_43·b_4_11·a_1_1 + b_2_43·b_4_11·a_1_0
       + b_2_44·a_3_7 + b_2_45·a_1_1 + b_2_45·a_1_0 + a_2_3·b_4_12·b_5_22
       + a_2_3·b_2_5·b_4_12·b_3_8 + a_2_3·b_2_4·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_5·b_5_22
       + a_2_3·b_2_42·b_2_5·b_3_8 + a_2_3·b_2_53·a_3_7 + a_2_3·b_2_42·b_2_5·a_3_7
       + a_2_3·b_2_43·a_3_7 + a_2_3·b_2_43·b_2_5·a_1_2 + b_4_12·c_4_14·b_3_8
       + b_2_4·c_4_14·b_5_20 + b_2_5·b_4_12·c_4_14·a_1_1 + b_2_53·c_4_14·a_1_2
       + b_2_4·c_4_14·a_5_19 + b_2_4·b_4_11·c_4_14·a_1_1 + b_2_4·b_4_11·c_4_14·a_1_0
       + b_2_42·b_2_5·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_1 + b_2_43·c_4_14·a_1_0
       + a_2_3·b_2_4·c_4_14·b_3_8 + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2
  133. b_6_34·b_5_22 + b_6_33·b_5_22 + b_4_12·b_7_42 + b_2_5·b_4_12·b_5_22
       + b_2_5·b_4_12·b_5_20 + b_2_53·b_5_22 + b_2_4·b_4_12·b_5_22 + b_2_4·b_2_5·b_4_12·b_3_8
       + b_2_42·b_4_12·b_3_8 + b_2_42·b_2_5·b_5_22 + b_2_43·b_5_22 + b_6_34·a_5_18
       + b_6_33·a_5_19 + b_2_4·b_4_11·a_5_19 + b_2_4·b_2_54·a_1_2 + b_2_42·b_2_5·a_5_19
       + b_2_42·b_2_53·a_1_2 + b_2_43·a_5_18 + b_2_43·b_2_5·a_3_7 + b_2_43·b_2_52·a_1_2
       + b_2_44·a_3_7 + b_2_45·a_1_2 + a_2_3·b_4_12·b_5_22 + a_2_3·b_2_53·b_3_8
       + a_2_3·b_2_4·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_42·b_5_22
       + a_2_3·b_2_42·b_2_5·b_3_8 + a_2_3·b_2_53·a_3_7 + a_2_3·b_2_54·a_1_2
       + a_2_3·b_2_42·b_2_5·a_3_7 + a_2_3·b_2_43·a_3_7 + b_4_12·c_4_14·b_3_8
       + b_2_4·c_4_14·b_5_22 + b_2_5·b_4_12·c_4_14·a_1_1 + b_2_53·c_4_14·a_1_2
       + b_2_4·c_4_14·a_5_19 + b_2_4·b_2_5·c_4_14·a_3_7 + b_2_42·c_4_14·a_3_7
       + b_2_43·c_4_14·a_1_2 + a_2_3·c_4_14·b_5_20 + a_2_3·b_2_5·c_4_14·b_3_8
       + a_2_3·b_2_52·c_4_14·a_1_2 + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2 + b_2_5·c_4_142·a_1_2 + b_2_4·c_4_142·a_1_2
  134. b_6_34·a_5_18 + b_6_33·a_5_19 + b_2_5·b_4_12·a_5_19 + b_2_53·b_4_12·a_1_1
       + b_2_54·a_3_7 + b_2_43·a_5_19 + b_2_43·a_5_18 + b_2_44·a_3_7 + a_2_3·b_2_5·b_7_42
       + a_2_3·b_2_5·b_4_12·b_3_8 + a_2_3·b_2_52·b_5_22 + a_2_3·b_2_52·b_5_20
       + a_2_3·b_2_4·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_42·b_5_22
       + a_2_3·b_2_42·b_5_20 + a_2_3·b_2_53·a_3_7 + a_2_3·b_2_54·a_1_2
       + a_2_3·b_2_42·b_2_5·a_3_7 + a_2_3·b_2_44·a_1_2 + b_2_5·b_4_12·c_4_14·a_1_1
       + b_2_52·c_4_14·a_3_7 + b_2_53·c_4_14·a_1_2 + b_2_53·c_4_14·a_1_1
       + b_2_4·b_2_52·c_4_14·a_1_2 + b_2_42·c_4_14·a_3_7 + b_2_42·b_2_5·c_4_14·a_1_2
       + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_1 + a_2_3·b_2_5·c_4_14·b_3_8
       + a_2_3·b_2_4·c_4_14·b_3_8 + a_2_3·b_2_5·c_4_14·a_3_7 + a_2_3·b_2_4·c_4_14·a_3_7
       + a_2_3·b_2_42·c_4_14·a_1_2
  135. b_6_34·b_5_22 + b_6_33·b_5_22 + b_6_33·b_5_20 + b_2_5·b_4_12·b_5_20 + b_2_53·b_5_22
       + b_2_4·b_4_12·b_5_22 + b_2_4·b_2_5·b_7_42 + b_2_4·b_2_52·b_5_22 + b_2_42·b_7_42
       + b_2_42·b_2_52·b_3_8 + b_2_43·b_5_22 + b_2_44·b_3_8 + b_6_33·a_5_19
       + b_2_5·b_4_12·a_5_19 + b_2_4·b_4_12·a_5_19 + b_2_4·b_2_54·a_1_2
       + b_2_42·b_2_5·a_5_19 + b_2_42·b_2_53·a_1_2 + b_2_43·a_5_19 + b_2_43·b_4_11·a_1_1
       + b_2_43·b_4_11·a_1_0 + b_2_43·b_2_5·a_3_7 + b_2_43·b_2_52·a_1_2 + b_2_44·a_3_7
       + b_2_45·a_1_2 + b_2_45·a_1_1 + b_2_45·a_1_0 + a_2_3·b_2_5·b_4_12·b_3_8
       + a_2_3·b_2_4·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_5·b_5_22 + a_2_3·b_2_4·b_2_5·b_5_20
       + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_42·b_5_20 + a_2_3·b_2_42·b_2_5·b_3_8
       + a_2_3·b_2_43·b_3_8 + a_2_3·b_2_53·a_3_7 + a_2_3·b_2_42·b_2_5·a_3_7
       + a_2_3·b_2_43·a_3_7 + a_2_3·b_2_43·b_2_5·a_1_2 + b_2_5·c_4_14·b_5_22
       + b_2_4·c_4_14·b_5_20 + b_2_4·c_4_14·a_5_19 + b_2_4·b_2_5·c_4_14·a_3_7
       + b_2_4·b_2_52·c_4_14·a_1_2 + b_2_42·c_4_14·a_3_7 + b_2_42·b_2_5·c_4_14·a_1_2
       + b_2_43·c_4_14·a_1_1 + b_2_43·c_4_14·a_1_0 + a_2_3·b_2_4·c_4_14·b_3_8
       + a_2_3·b_2_52·c_4_14·a_1_2 + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2 + c_4_14·a_1_02·a_5_18
  136. b_6_34·a_5_18 + b_6_33·a_5_19 + b_2_5·b_4_12·a_5_19 + b_2_53·b_4_12·a_1_1
       + b_2_54·a_3_7 + b_2_4·b_4_12·a_5_19 + b_2_4·b_4_11·a_5_19 + b_2_43·a_5_19
       + b_2_43·a_5_18 + b_2_44·a_3_7 + a_2_3·b_4_12·b_5_22 + a_2_3·b_2_5·b_4_12·b_3_8
       + a_2_3·b_2_4·b_7_42 + a_2_3·b_2_4·b_2_5·b_5_22 + a_2_3·b_2_42·b_5_22
       + a_2_3·b_2_43·b_3_8 + a_2_3·b_2_42·b_2_5·a_3_7 + b_2_5·b_4_12·c_4_14·a_1_1
       + b_2_52·c_4_14·a_3_7 + b_2_53·c_4_14·a_1_2 + b_2_53·c_4_14·a_1_1
       + b_2_4·b_2_52·c_4_14·a_1_2 + b_2_42·c_4_14·a_3_7 + b_2_42·b_2_5·c_4_14·a_1_2
       + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_1 + a_2_3·b_2_52·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2
  137. b_6_34·a_5_18 + b_6_33·a_5_19 + a_4_7·b_7_42 + b_2_5·b_4_12·a_5_19
       + b_2_53·b_4_12·a_1_1 + b_2_54·a_3_7 + b_2_43·a_5_19 + b_2_43·a_5_18 + b_2_44·a_3_7
       + a_2_3·b_2_5·b_4_12·b_3_8 + a_2_3·b_2_4·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_5·b_5_20
       + a_2_3·b_2_42·b_5_22 + a_2_3·b_2_42·b_2_5·b_3_8 + a_2_3·b_2_53·a_3_7
       + a_2_3·b_2_42·b_2_5·a_3_7 + a_2_3·b_2_43·a_3_7 + a_2_3·b_2_43·b_2_5·a_1_2
       + b_2_5·b_4_12·c_4_14·a_1_1 + b_2_52·c_4_14·a_3_7 + b_2_53·c_4_14·a_1_2
       + b_2_53·c_4_14·a_1_1 + b_2_4·b_2_52·c_4_14·a_1_2 + b_2_42·c_4_14·a_3_7
       + b_2_42·b_2_5·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_1
       + a_2_3·c_4_14·b_5_22 + a_2_3·c_4_14·b_5_20 + a_2_3·b_2_5·c_4_14·b_3_8
       + a_2_3·b_2_4·c_4_14·b_3_8 + a_2_3·b_2_52·c_4_14·a_1_2 + a_2_3·b_2_4·c_4_14·a_3_7
       + c_4_14·a_1_02·a_5_18 + a_2_3·c_4_142·a_1_2
  138. b_4_13·b_7_42 + b_2_53·b_5_22 + b_2_53·b_5_20 + b_2_4·b_2_52·b_5_22
       + b_2_4·b_2_53·b_3_8 + b_2_43·b_5_20 + b_2_43·b_2_5·b_3_8 + b_2_5·b_4_12·a_5_19
       + b_2_53·a_5_19 + b_2_53·b_4_12·a_1_1 + b_2_54·a_3_7 + b_2_55·a_1_2 + b_2_55·a_1_1
       + b_2_4·b_2_52·a_5_19 + b_2_43·a_5_19 + b_2_43·b_4_11·a_1_1 + b_2_43·b_4_11·a_1_0
       + b_2_43·b_2_5·a_3_7 + b_2_43·b_2_52·a_1_2 + b_2_45·a_1_1 + a_2_3·b_4_12·b_5_22
       + a_2_3·b_2_5·b_4_12·b_3_8 + a_2_3·b_2_53·b_3_8 + a_2_3·b_2_4·b_4_12·b_3_8
       + a_2_3·b_2_4·b_2_5·b_5_22 + a_2_3·b_2_42·b_5_22 + a_2_3·b_2_43·b_3_8
       + a_2_3·b_2_54·a_1_2 + a_2_3·b_2_42·b_2_5·a_3_7 + a_2_3·b_2_43·b_2_5·a_1_2
       + b_2_5·c_4_14·b_5_22 + b_2_5·c_4_14·b_5_20 + b_2_4·c_4_14·b_5_22 + b_2_4·c_4_14·b_5_20
       + b_2_52·c_4_14·a_3_7 + b_2_4·b_4_11·c_4_14·a_1_1 + b_2_4·b_4_11·c_4_14·a_1_0
       + b_2_4·b_2_5·c_4_14·a_3_7 + b_2_42·b_2_5·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_2
       + a_2_3·b_2_5·c_4_14·a_3_7 + a_2_3·b_2_4·c_4_14·a_3_7 + c_4_14·a_1_02·a_5_18
       + b_2_5·c_4_142·a_1_2 + b_2_4·c_4_142·a_1_2
  139. b_6_34·b_5_22 + b_6_33·b_5_22 + b_6_33·b_5_20 + b_4_11·b_7_42 + b_2_5·b_4_12·b_5_20
       + b_2_53·b_5_22 + b_2_4·b_4_12·b_5_22 + b_2_4·b_2_5·b_7_42 + b_2_4·b_2_52·b_5_20
       + b_2_42·b_2_5·b_5_20 + b_2_43·b_5_22 + b_2_43·b_5_20 + b_2_43·b_2_5·b_3_8
       + b_2_44·b_3_8 + b_6_34·a_5_18 + b_2_53·b_4_12·a_1_1 + b_2_54·a_3_7
       + b_2_4·b_4_11·a_5_18 + b_2_42·b_2_5·a_5_19 + b_2_43·b_4_11·a_1_1
       + b_2_43·b_2_5·a_3_7 + b_2_43·b_2_52·a_1_2 + b_2_44·b_2_5·a_1_2 + b_2_45·a_1_2
       + b_2_45·a_1_0 + a_2_3·b_4_12·b_5_22 + a_2_3·b_2_42·b_5_22 + a_2_3·b_2_42·b_5_20
       + a_2_3·b_2_53·a_3_7 + a_2_3·b_2_42·b_2_5·a_3_7 + a_2_3·b_2_43·a_3_7
       + a_2_3·b_2_43·b_2_5·a_1_2 + a_2_3·b_2_44·a_1_2 + b_2_5·c_4_14·b_5_22
       + b_2_4·c_4_14·b_5_22 + b_2_5·b_4_12·c_4_14·a_1_1 + b_2_52·c_4_14·a_3_7
       + b_2_53·c_4_14·a_1_2 + b_2_53·c_4_14·a_1_1 + b_2_4·c_4_14·a_5_19
       + b_2_4·b_4_11·c_4_14·a_1_1 + b_2_4·b_4_11·c_4_14·a_1_0 + b_2_4·b_2_52·c_4_14·a_1_2
       + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_0 + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2 + b_2_4·c_4_142·a_1_2
  140. b_6_33·a_5_19 + b_2_5·b_4_12·a_5_19 + b_2_4·b_4_12·a_5_19 + b_2_4·b_2_52·a_5_19
       + b_2_43·a_5_19 + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_43·b_3_8
       + a_2_3·b_2_43·b_2_5·a_1_2 + a_2_3·b_2_44·a_1_2 + b_2_4·c_4_14·a_5_19
       + a_2_3·b_2_5·c_4_14·b_3_8 + a_2_3·b_2_4·c_4_14·b_3_8 + a_2_3·b_2_52·c_4_14·a_1_2
       + a_2_3·b_2_42·c_4_14·a_1_2 + c_8_58·a_1_02·a_1_1 + c_4_14·a_1_02·a_5_18
  141. b_6_34·b_5_22 + b_6_33·b_5_20 + b_2_5·b_4_12·b_5_22 + b_2_5·b_4_12·b_5_20
       + b_2_53·b_5_22 + b_2_4·b_4_12·b_5_22 + b_2_4·b_2_5·b_4_12·b_3_8
       + b_2_4·b_2_52·b_5_22 + b_2_42·b_2_52·b_3_8 + b_2_43·b_5_22 + b_2_43·b_2_5·b_3_8
       + b_2_4·b_4_12·a_5_19 + b_2_4·b_2_52·a_5_19 + b_2_43·a_5_19 + b_2_43·b_4_11·a_1_1
       + b_2_43·b_4_11·a_1_0 + b_2_45·a_1_1 + b_2_45·a_1_0 + a_2_3·b_4_12·b_5_22
       + a_2_3·b_2_52·b_5_22 + a_2_3·b_2_52·b_5_20 + a_2_3·b_2_4·b_2_5·b_5_22
       + a_2_3·b_2_4·b_2_5·b_5_20 + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_42·b_5_22
       + a_2_3·b_2_42·b_2_5·b_3_8 + a_2_3·b_2_43·b_3_8 + a_2_3·b_2_53·a_3_7
       + a_2_3·b_2_54·a_1_2 + a_2_3·b_2_42·b_2_5·a_3_7 + b_4_12·c_4_14·b_3_8
       + b_2_5·c_4_14·b_5_22 + b_2_5·c_4_14·b_5_20 + b_2_4·c_4_14·b_5_22
       + b_2_52·c_4_14·a_3_7 + b_2_53·c_4_14·a_1_1 + b_2_4·c_4_14·a_5_19
       + b_2_4·b_4_11·c_4_14·a_1_1 + b_2_4·b_4_11·c_4_14·a_1_0 + b_2_42·c_4_14·a_3_7
       + b_2_42·b_2_5·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_0
       + a_2_3·b_2_5·c_4_14·b_3_8 + a_2_3·c_8_58·a_1_2 + a_2_3·b_2_4·c_4_14·a_3_7
       + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2 + c_4_14·a_1_02·a_5_18
  142. b_8_56·a_3_7 + b_2_54·a_3_7 + a_2_3·b_4_12·b_5_22 + a_2_3·b_2_5·b_4_12·b_3_8
       + a_2_3·b_2_52·b_5_20 + a_2_3·b_2_4·b_2_5·b_5_22 + a_2_3·b_2_4·b_2_5·b_5_20
       + a_2_3·b_2_4·b_2_52·b_3_8 + a_2_3·b_2_42·b_5_22 + a_2_3·b_2_42·b_2_5·b_3_8
       + a_2_3·b_2_53·a_3_7 + a_2_3·b_2_43·a_3_7 + b_2_53·c_4_14·a_1_2
       + b_2_4·b_2_5·c_4_14·a_3_7 + b_2_42·c_4_14·a_3_7 + b_2_43·c_4_14·a_1_2
       + a_2_3·c_4_14·b_5_22 + a_2_3·c_4_14·b_5_20 + a_2_3·b_2_4·c_4_14·b_3_8
       + a_2_3·b_2_4·c_4_14·a_3_7 + a_2_3·c_4_142·a_1_2
  143. b_8_56·b_3_8 + b_6_34·b_5_22 + b_6_33·b_5_22 + b_2_5·b_4_12·b_5_22 + b_2_52·b_7_42
       + b_2_54·b_3_8 + b_2_4·b_4_12·b_5_20 + b_2_4·b_2_5·b_7_42 + b_2_4·b_2_52·b_5_22
       + b_2_4·b_2_52·b_5_20 + b_2_42·b_2_5·b_5_20 + b_2_42·b_2_52·b_3_8
       + b_2_43·b_2_5·b_3_8 + b_2_53·a_5_19 + b_2_53·b_4_12·a_1_1 + b_2_54·a_3_7
       + b_2_55·a_1_2 + b_2_4·b_4_12·a_5_19 + b_2_4·b_2_54·a_1_2 + b_2_42·b_2_5·a_5_19
       + b_2_44·a_3_7 + b_2_45·a_1_1 + b_2_45·a_1_0 + a_2_3·b_4_12·b_5_22
       + a_2_3·b_2_52·b_5_22 + a_2_3·b_2_4·b_2_5·b_5_20 + a_2_3·b_2_4·b_2_52·b_3_8
       + a_2_3·b_2_42·b_5_22 + a_2_3·b_2_42·b_2_5·b_3_8 + a_2_3·b_2_53·a_3_7
       + a_2_3·b_2_42·b_2_5·a_3_7 + a_2_3·b_2_43·a_3_7 + a_2_3·b_2_43·b_2_5·a_1_2
       + b_4_12·c_4_14·b_3_8 + b_2_5·c_4_14·b_5_22 + b_2_5·c_4_14·b_5_20
       + b_2_52·c_4_14·b_3_8 + b_2_4·c_4_14·b_5_20 + b_2_42·c_4_14·b_3_8
       + b_2_53·c_4_14·a_1_2 + b_2_53·c_4_14·a_1_1 + b_2_4·c_4_14·a_5_19
       + b_2_4·b_4_11·c_4_14·a_1_1 + b_2_4·b_4_11·c_4_14·a_1_0 + b_2_4·b_2_5·c_4_14·a_3_7
       + b_2_4·b_2_52·c_4_14·a_1_2 + b_2_42·c_4_14·a_3_7 + b_2_42·b_2_5·c_4_14·a_1_2
       + b_2_43·c_4_14·a_1_2 + b_2_43·c_4_14·a_1_0 + a_2_3·c_4_14·b_5_20
       + a_2_3·b_2_5·c_4_14·b_3_8 + a_2_3·b_2_4·c_4_14·b_3_8 + a_2_3·b_2_5·c_4_14·a_3_7
       + a_2_3·b_2_52·c_4_14·a_1_2 + a_2_3·b_2_4·c_4_14·a_3_7
       + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_42·c_4_14·a_1_2
  144. b_6_342 + b_6_332 + b_2_56 + b_2_43·b_2_5·b_4_13 + b_2_43·b_2_53
       + b_2_44·b_2_52 + a_2_3·b_2_42·b_6_33 + a_2_3·b_2_42·b_2_5·b_4_13
       + a_2_3·b_2_42·b_2_53 + a_2_3·b_2_43·b_4_12 + a_2_3·b_2_45 + b_2_45·a_1_22
       + a_2_3·b_2_43·a_1_2·b_3_8 + a_2_32·b_2_43·b_2_5 + a_2_32·b_2_44
       + b_2_4·b_2_5·b_4_13·c_4_14 + b_2_4·b_2_53·c_4_14 + b_2_42·b_2_52·c_4_14
       + b_2_42·c_4_14·a_1_2·b_3_8 + a_2_3·c_4_14·b_6_33 + a_2_3·b_2_5·b_4_13·c_4_14
       + a_2_3·b_2_53·c_4_14 + a_2_3·b_2_4·b_4_12·c_4_14 + b_2_53·c_4_14·a_1_22
       + b_2_42·b_2_5·c_4_14·a_1_22 + b_2_43·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_5_22
       + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8
       + a_2_32·b_4_12·c_4_14 + a_2_32·b_2_52·c_4_14 + a_2_32·b_2_4·b_2_5·c_4_14
       + a_2_32·b_2_42·c_4_14 + b_2_52·c_4_142 + c_4_142·a_1_2·b_3_8
       + a_2_3·b_2_4·c_4_142 + b_2_5·c_4_142·a_1_22 + b_2_4·c_4_142·a_1_22
       + a_2_3·c_4_142·a_1_22
  145. a_5_19·b_7_42 + a_5_18·b_7_42 + b_2_4·b_2_53·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_5_22
       + b_2_42·b_2_52·a_1_2·b_3_8 + b_2_43·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_52·b_4_13 + a_2_3·b_2_4·b_2_52·b_4_12 + a_2_3·b_2_4·b_2_54
       + a_2_3·b_2_43·b_4_13 + a_2_3·b_2_43·b_4_12 + a_2_3·b_2_45
       + a_2_3·b_2_53·a_1_2·b_3_8 + a_2_3·b_2_42·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_43·a_1_2·b_3_8 + a_2_32·b_2_43·b_2_5 + b_2_4·c_4_14·a_1_2·b_5_22
       + a_2_3·b_2_4·b_4_13·c_4_14 + a_2_3·b_2_4·b_4_12·c_4_14 + a_2_3·b_2_4·b_2_52·c_4_14
       + a_2_3·b_2_43·c_4_14 + b_2_42·b_2_5·c_4_14·a_1_22
       + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_4·b_2_5·c_4_14
       + a_2_32·b_2_42·c_4_14 + b_2_4·c_4_142·a_1_22 + a_2_3·c_4_142·a_1_22
  146. a_5_19·b_7_42 + b_2_4·b_2_53·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_5_22
       + b_2_43·a_1_2·b_5_22 + b_2_44·a_1_2·b_3_8 + a_2_3·b_2_52·b_6_33
       + a_2_3·b_2_53·b_4_12 + a_2_3·b_2_4·b_2_52·b_4_13 + a_2_3·b_2_42·b_6_33
       + a_2_3·b_2_42·b_2_5·b_4_12 + a_2_3·b_2_43·b_4_13 + b_2_44·b_2_5·a_1_22
       + b_2_45·a_1_22 + a_2_3·b_2_53·a_1_2·b_3_8 + a_2_32·b_2_4·b_2_5·b_4_12
       + a_2_32·b_2_42·b_4_12 + a_2_32·b_2_43·b_2_5 + a_2_32·b_2_44
       + b_2_5·c_4_14·a_1_2·b_5_22 + b_2_52·c_4_14·a_1_2·b_3_8 + b_2_4·c_4_14·a_1_2·b_5_22
       + b_2_42·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_5·b_4_13·c_4_14 + a_2_3·b_2_5·b_4_12·c_4_14
       + a_2_3·b_2_53·c_4_14 + a_2_3·b_2_4·b_4_13·c_4_14 + a_2_3·b_2_4·b_4_12·c_4_14
       + a_2_3·b_2_42·b_2_5·c_4_14 + b_2_53·c_4_14·a_1_22 + b_2_43·c_4_14·a_1_22
       + a_2_3·c_4_14·a_1_2·b_5_22 + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8 + a_2_32·b_4_12·c_4_14 + a_2_32·b_2_52·c_4_14
       + a_2_32·b_2_42·c_4_14 + a_2_3·c_8_58·a_1_22 + a_2_3·c_4_142·a_1_22
  147. b_6_332 + b_2_4·b_2_53·b_4_13 + b_2_4·b_2_55 + b_2_42·b_2_52·b_4_13
       + b_2_43·b_2_53 + a_2_3·b_2_52·b_6_33 + a_2_3·b_2_53·b_4_13 + a_2_3·b_2_55
       + a_2_3·b_2_4·b_2_5·b_6_33 + a_2_3·b_2_42·b_2_5·b_4_13 + a_2_3·b_2_42·b_2_53
       + b_2_55·a_1_22 + b_2_44·b_2_5·a_1_22 + a_2_3·b_2_53·a_1_2·b_3_8
       + a_2_3·b_2_42·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_52·b_4_12 + a_2_32·b_2_54
       + a_2_32·b_2_42·b_4_12 + a_2_32·b_2_44 + b_2_54·c_4_14
       + b_2_4·b_2_5·b_4_13·c_4_14 + b_2_4·b_2_53·c_4_14 + b_2_42·b_2_52·c_4_14
       + b_2_44·c_4_14 + b_2_52·c_4_14·a_1_2·b_3_8 + b_2_4·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·c_4_14·b_6_33 + a_2_3·b_2_5·b_4_13·c_4_14 + a_2_3·b_2_53·c_4_14
       + a_2_3·b_2_4·b_4_12·c_4_14 + a_2_3·b_2_4·b_2_52·c_4_14 + a_2_3·b_2_42·b_2_5·c_4_14
       + a_2_3·b_2_43·c_4_14 + b_2_43·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_5_22
       + a_2_32·c_8_58 + a_2_32·b_2_4·b_2_5·c_4_14 + b_2_42·c_4_142
       + c_4_142·a_1_2·b_3_8 + a_2_3·b_2_4·c_4_142
  148. b_5_20·b_7_42 + b_2_5·b_4_12·b_6_33 + b_2_52·b_3_8·b_5_22 + b_2_52·b_8_56
       + b_2_53·b_6_33 + b_2_54·b_4_13 + b_2_54·b_4_12 + b_2_4·b_2_5·b_3_8·b_5_22
       + b_2_4·b_2_5·b_8_56 + b_2_4·b_2_52·b_6_33 + b_2_42·b_2_52·b_4_13
       + b_2_42·b_2_52·b_4_12 + b_2_43·b_2_5·b_4_13 + a_5_19·b_7_42 + b_2_53·a_1_2·b_5_22
       + b_2_54·a_1_2·b_3_8 + b_2_42·b_2_5·a_1_2·b_5_22 + a_2_3·b_4_12·b_6_33
       + a_2_3·b_2_4·b_2_54 + a_2_3·b_2_42·b_2_5·b_4_13 + a_2_3·b_2_43·b_4_12
       + a_2_3·b_2_43·b_2_52 + a_2_3·b_2_44·b_2_5 + a_2_3·b_2_45
       + b_2_44·b_2_5·a_1_22 + b_2_45·a_1_22 + a_2_3·b_2_53·a_1_2·b_3_8
       + a_2_3·b_2_43·a_1_2·b_3_8 + a_2_32·b_2_54 + a_2_32·b_2_42·b_4_12
       + a_2_32·b_2_43·b_2_5 + a_2_32·b_2_44 + c_4_14·b_3_8·b_5_22
       + b_2_52·b_4_13·c_4_14 + b_2_52·b_4_12·c_4_14 + b_2_42·b_2_52·c_4_14
       + b_2_43·b_2_5·c_4_14 + b_2_52·c_4_14·a_1_2·b_3_8 + b_2_4·c_4_14·a_1_2·b_5_22
       + a_2_3·c_4_14·b_6_33 + a_2_3·b_2_53·c_4_14 + a_2_3·b_2_4·b_2_52·c_4_14
       + b_2_42·b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_5_22
       + a_2_32·b_2_4·b_2_5·c_4_14 + a_2_32·b_2_42·c_4_14 + a_2_3·b_2_4·c_4_142
       + b_2_4·c_4_142·a_1_22
  149. b_5_22·b_7_42 + b_6_332 + b_4_12·b_8_56 + b_2_5·b_4_12·b_6_33 + b_2_53·b_6_34
       + b_2_53·b_6_33 + b_2_54·b_4_12 + b_2_56 + b_2_4·b_2_52·b_6_34 + b_2_4·b_2_55
       + b_2_42·b_2_52·b_4_13 + b_2_42·b_2_52·b_4_12 + b_2_42·b_2_54 + b_2_43·b_6_33
       + b_2_43·b_2_5·b_4_13 + b_2_43·b_2_5·b_4_12 + b_2_45·b_2_5 + a_5_19·b_7_42
       + b_2_4·b_2_52·a_1_2·b_5_22 + b_2_4·b_2_53·a_1_2·b_3_8
       + b_2_42·b_2_52·a_1_2·b_3_8 + b_2_43·b_2_5·a_1_2·b_3_8 + b_2_44·a_1_2·b_3_8
       + a_2_3·b_4_12·b_6_33 + a_2_3·b_2_5·b_8_56 + a_2_3·b_2_55 + a_2_3·b_2_4·b_2_5·b_6_33
       + a_2_3·b_2_4·b_2_52·b_4_13 + a_2_3·b_2_4·b_2_54 + a_2_3·b_2_42·b_2_5·b_4_12
       + a_2_3·b_2_42·b_2_53 + a_2_3·b_2_43·b_4_13 + b_2_55·a_1_22
       + a_2_3·b_2_53·a_1_2·b_3_8 + a_2_3·b_2_42·b_2_5·a_1_2·b_3_8
       + a_2_32·b_2_42·b_4_12 + a_2_32·b_2_43·b_2_5 + a_2_32·b_2_44
       + b_2_5·c_4_14·b_6_34 + b_2_52·b_4_12·c_4_14 + b_2_54·c_4_14 + b_2_4·c_4_14·b_6_34
       + b_2_4·b_2_5·b_4_13·c_4_14 + b_2_4·b_2_53·c_4_14 + b_2_52·c_4_14·a_1_2·b_3_8
       + b_2_4·c_4_14·a_1_2·b_5_22 + b_2_4·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_5·b_4_12·c_4_14 + a_2_3·b_2_53·c_4_14 + a_2_3·b_2_4·b_4_13·c_4_14
       + a_2_3·b_2_4·b_2_52·c_4_14 + a_2_3·b_2_42·b_2_5·c_4_14 + b_2_5·c_8_58·a_1_22
       + b_2_42·b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_5_22 + a_2_32·b_4_12·c_4_14
       + a_2_32·b_2_4·b_2_5·c_4_14 + a_2_32·b_2_42·c_4_14 + b_2_52·c_4_142
       + a_2_3·b_2_5·c_4_142 + a_2_3·b_2_4·c_4_142 + b_2_4·c_4_142·a_1_22
       + a_2_3·c_4_142·a_1_22
  150. b_5_22·b_7_42 + b_6_33·b_6_34 + b_2_5·b_4_12·b_6_33 + b_2_52·b_3_8·b_5_22
       + b_2_52·b_8_56 + b_2_54·b_4_13 + b_2_54·b_4_12 + b_2_4·b_4_12·b_6_33
       + b_2_4·b_2_5·b_3_8·b_5_22 + b_2_4·b_2_52·b_6_34 + b_2_4·b_2_52·b_6_33
       + b_2_4·b_2_53·b_4_12 + b_2_42·b_8_56 + b_2_42·b_2_5·b_6_33 + b_2_42·b_2_54
       + b_2_43·b_6_34 + b_2_43·b_6_33 + b_2_43·b_2_5·b_4_12 + b_2_44·b_4_13
       + b_2_44·b_4_12 + b_2_44·b_2_52 + b_2_45·b_2_5 + b_2_46 + a_5_19·b_7_42
       + b_2_54·a_1_2·b_3_8 + b_2_4·b_2_52·a_1_2·b_5_22 + b_2_42·b_2_5·a_1_2·b_5_22
       + b_2_42·b_2_52·a_1_2·b_3_8 + b_2_43·a_1_2·b_5_22 + a_2_3·b_4_12·b_6_33
       + a_2_3·b_2_52·b_6_33 + a_2_3·b_2_53·b_4_12 + a_2_3·b_2_4·b_2_52·b_4_13
       + a_2_3·b_2_42·b_6_33 + a_2_3·b_2_43·b_4_13 + a_2_3·b_2_43·b_2_52
       + a_2_3·b_2_44·b_2_5 + b_2_45·a_1_22 + a_2_3·b_2_43·a_1_2·b_3_8
       + a_2_32·b_2_52·b_4_12 + a_2_32·b_2_54 + a_2_32·b_2_43·b_2_5
       + b_2_5·c_4_14·b_6_33 + b_2_4·c_4_14·b_6_34 + b_2_4·c_4_14·b_6_33
       + b_2_4·b_2_5·b_4_12·c_4_14 + b_2_42·b_4_12·c_4_14 + b_2_42·b_2_52·c_4_14
       + b_2_43·b_2_5·c_4_14 + b_2_44·c_4_14 + b_2_52·c_4_14·a_1_2·b_3_8
       + b_2_4·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·c_4_14·b_6_33 + a_2_3·b_2_5·b_4_13·c_4_14
       + a_2_3·b_2_5·b_4_12·c_4_14 + a_2_3·b_2_53·c_4_14 + a_2_3·b_2_4·b_4_13·c_4_14
       + a_2_3·b_2_4·b_2_52·c_4_14 + b_2_5·c_8_58·a_1_22 + b_2_53·c_4_14·a_1_22
       + b_2_42·b_2_5·c_4_14·a_1_22 + a_2_3·c_4_14·a_1_2·b_5_22
       + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8
       + a_2_32·b_2_4·b_2_5·c_4_14 + a_2_32·b_2_42·c_4_14 + b_2_4·b_2_5·c_4_142
       + b_2_42·c_4_142 + a_2_3·b_2_4·c_4_142 + b_2_4·c_4_142·a_1_22
       + a_2_3·c_4_142·a_1_22
  151. b_5_20·b_7_42 + b_4_12·b_8_56 + b_2_5·b_4_12·b_6_33 + b_2_53·b_6_34 + b_2_53·b_6_33
       + b_2_54·b_4_12 + b_2_56 + b_2_4·b_2_5·b_3_8·b_5_22 + b_2_4·b_2_52·b_6_34
       + b_2_4·b_2_53·b_4_13 + b_2_42·b_3_8·b_5_22 + b_2_42·b_2_52·b_4_12 + b_2_43·b_6_33
       + b_2_43·b_2_5·b_4_12 + b_2_43·b_2_53 + b_2_44·b_2_52 + b_2_45·b_2_5
       + b_2_53·a_1_2·b_5_22 + b_2_4·b_2_53·a_1_2·b_3_8 + b_2_43·a_1_2·b_5_22
       + b_2_43·b_2_5·a_1_2·b_3_8 + b_2_44·a_1_2·b_3_8 + a_2_3·b_2_53·b_4_13
       + a_2_3·b_2_55 + a_2_3·b_2_4·b_8_56 + a_2_3·b_2_4·b_2_5·b_6_33
       + a_2_3·b_2_4·b_2_52·b_4_13 + a_2_3·b_2_4·b_2_52·b_4_12 + a_2_3·b_2_4·b_2_54
       + a_2_3·b_2_42·b_6_33 + a_2_3·b_2_42·b_2_5·b_4_12 + a_2_3·b_2_42·b_2_53
       + a_2_3·b_2_43·b_4_13 + a_2_3·b_2_43·b_4_12 + a_2_3·b_2_44·b_2_5 + a_2_3·b_2_45
       + b_2_55·a_1_22 + b_2_45·a_1_22 + a_2_3·b_2_42·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_43·a_1_2·b_3_8 + a_2_32·b_2_4·b_2_5·b_4_12 + a_2_32·b_2_44
       + b_2_5·c_4_14·b_6_34 + b_2_52·b_4_12·c_4_14 + b_2_4·c_4_14·b_6_34
       + b_2_42·b_2_52·c_4_14 + b_2_44·c_4_14 + b_2_5·c_4_14·a_1_2·b_5_22
       + b_2_42·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_5·b_4_13·c_4_14 + a_2_3·b_2_53·c_4_14
       + a_2_3·b_2_42·b_2_5·c_4_14 + b_2_42·b_2_5·c_4_14·a_1_22
       + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8
       + a_2_32·b_2_4·b_2_5·c_4_14 + a_2_32·b_2_42·c_4_14 + b_2_52·c_4_142
       + b_2_42·c_4_142 + a_2_3·b_2_5·c_4_142 + a_2_3·b_2_4·c_4_142
       + b_2_5·c_4_142·a_1_22 + a_2_3·c_4_142·a_1_22
  152. a_4_7·b_8_56 + a_2_3·b_4_12·b_6_33 + a_2_3·b_2_53·b_4_13 + a_2_3·b_2_55
       + a_2_3·b_2_4·b_2_5·b_6_33 + a_2_3·b_2_4·b_2_52·b_4_13 + a_2_3·b_2_42·b_6_33
       + a_2_3·b_2_42·b_2_5·b_4_13 + a_2_3·b_2_43·b_4_13 + a_2_3·b_2_43·b_4_11
       + a_2_3·b_2_45 + a_2_3·b_2_43·a_1_2·b_3_8 + a_2_32·b_2_52·b_4_12
       + a_2_32·b_2_4·b_2_5·b_4_12 + a_2_32·b_2_42·b_4_12 + a_2_32·b_2_43·b_2_5
       + a_2_32·b_2_44 + b_2_4·b_2_5·c_4_14·a_1_2·b_3_8 + b_2_42·c_4_14·a_1_2·b_3_8
       + a_2_3·c_4_14·b_6_33 + a_2_3·b_2_5·b_4_12·c_4_14 + a_2_3·b_2_4·b_4_13·c_4_14
       + a_2_3·b_2_4·b_2_52·c_4_14 + a_2_3·b_2_42·b_2_5·c_4_14 + b_2_53·c_4_14·a_1_22
       + b_2_42·b_2_5·c_4_14·a_1_22 + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_4·b_2_5·c_4_14 + c_4_142·a_1_2·b_3_8
       + a_2_3·b_2_4·c_4_142 + b_2_4·c_4_142·a_1_22 + a_2_32·c_4_142
  153. b_5_20·b_7_42 + b_4_13·b_8_56 + b_2_52·b_3_8·b_5_22 + b_2_53·b_6_33 + b_2_54·b_4_12
       + b_2_56 + b_2_4·b_4_12·b_6_33 + b_2_4·b_2_5·b_3_8·b_5_22 + b_2_4·b_2_52·b_6_34
       + b_2_4·b_2_52·b_6_33 + b_2_42·b_2_54 + b_2_43·b_6_34 + b_2_43·b_2_5·b_4_13
       + b_2_43·b_2_53 + b_2_44·b_4_13 + b_2_44·b_4_12 + b_2_46 + a_5_19·b_7_42
       + b_2_53·a_1_2·b_5_22 + b_2_54·a_1_2·b_3_8 + b_2_4·b_2_52·a_1_2·b_5_22
       + b_2_42·b_2_5·a_1_2·b_5_22 + b_2_42·b_2_52·a_1_2·b_3_8 + b_2_43·a_1_2·b_5_22
       + b_2_44·a_1_2·b_3_8 + a_2_3·b_4_12·b_6_33 + a_2_3·b_2_53·b_4_13
       + a_2_3·b_2_53·b_4_12 + a_2_3·b_2_55 + a_2_3·b_2_4·b_2_54 + b_2_55·a_1_22
       + b_2_44·b_2_5·a_1_22 + a_2_32·b_2_54 + a_2_32·b_2_42·b_4_12
       + c_4_14·b_3_8·b_5_22 + b_2_5·c_4_14·b_6_34 + b_2_52·b_4_13·c_4_14 + b_2_54·c_4_14
       + b_2_4·c_4_14·b_6_34 + b_2_42·b_4_12·c_4_14 + b_2_44·c_4_14
       + b_2_5·c_4_14·a_1_2·b_5_22 + b_2_4·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·c_4_14·b_6_33
       + a_2_3·b_2_5·b_4_13·c_4_14 + a_2_3·b_2_4·b_4_13·c_4_14 + a_2_3·b_2_4·b_2_52·c_4_14
       + a_2_3·b_2_42·b_2_5·c_4_14 + b_2_42·b_2_5·c_4_14·a_1_22
       + a_2_3·c_4_14·a_1_2·b_5_22 + a_2_3·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_52·c_4_14
       + a_2_32·b_2_4·b_2_5·c_4_14 + b_2_52·c_4_142 + b_2_42·c_4_142
       + a_2_3·b_2_5·c_4_142 + b_2_4·c_4_142·a_1_22 + a_2_3·c_4_142·a_1_22
  154. b_6_33·b_6_34 + b_6_332 + b_4_11·b_8_56 + b_2_53·b_6_33 + b_2_4·b_2_5·b_3_8·b_5_22
       + b_2_4·b_2_52·b_6_34 + b_2_4·b_2_53·b_4_12 + b_2_42·b_3_8·b_5_22
       + b_2_42·b_2_5·b_6_34 + b_2_42·b_2_5·b_6_33 + b_2_42·b_2_52·b_4_13
       + b_2_42·b_2_52·b_4_12 + b_2_42·b_2_54 + b_2_43·b_6_33 + b_2_43·b_2_53
       + b_2_44·b_4_13 + b_2_44·b_4_11 + b_2_44·b_2_52 + b_2_46 + a_5_19·b_7_42
       + b_2_54·a_1_2·b_3_8 + b_2_4·b_2_52·a_1_2·b_5_22 + b_2_4·b_2_53·a_1_2·b_3_8
       + b_2_42·b_2_52·a_1_2·b_3_8 + b_2_43·a_1_2·b_5_22 + b_2_43·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_53·b_4_13 + a_2_3·b_2_53·b_4_12 + a_2_3·b_2_55
       + a_2_3·b_2_4·b_2_5·b_6_33 + a_2_3·b_2_42·b_2_5·b_4_13 + a_2_3·b_2_43·b_2_52
       + b_2_44·b_2_5·a_1_22 + b_2_45·a_1_22 + a_2_3·b_2_53·a_1_2·b_3_8
       + a_2_3·b_2_43·a_1_2·b_3_8 + a_2_32·b_2_52·b_4_12 + a_2_32·b_2_43·b_2_5
       + a_2_32·b_2_44 + c_4_14·b_3_8·b_5_22 + b_2_5·c_4_14·b_6_33 + b_2_52·b_4_13·c_4_14
       + b_2_52·b_4_12·c_4_14 + b_2_54·c_4_14 + b_2_4·c_4_14·b_6_33
       + b_2_4·b_2_5·b_4_13·c_4_14 + b_2_44·c_4_14 + b_2_5·c_4_14·a_1_2·b_5_22
       + b_2_52·c_4_14·a_1_2·b_3_8 + b_2_4·c_4_14·a_1_2·b_5_22 + a_2_3·b_2_5·b_4_13·c_4_14
       + a_2_3·b_2_5·b_4_12·c_4_14 + a_2_3·b_2_4·b_2_52·c_4_14 + a_2_3·b_2_42·b_2_5·c_4_14
       + a_2_3·b_2_43·c_4_14 + b_2_53·c_4_14·a_1_22 + b_2_42·b_2_5·c_4_14·a_1_22
       + a_2_3·c_4_14·a_1_2·b_5_22 + a_2_3·b_2_4·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_42·c_4_14
       + b_2_42·c_4_142 + a_2_3·b_2_4·c_4_142 + b_2_5·c_4_142·a_1_22
       + b_2_4·c_4_142·a_1_22 + a_2_3·c_4_142·a_1_22
  155. b_6_34·b_7_42 + b_6_33·b_7_42 + b_2_5·b_4_12·b_7_42 + b_2_52·b_4_12·b_5_22
       + b_2_52·b_4_12·b_5_20 + b_2_53·b_7_42 + b_2_4·b_4_12·b_7_42
       + b_2_4·b_2_5·b_4_12·b_5_20 + b_2_4·b_2_52·b_4_12·b_3_8 + b_2_42·b_4_12·b_5_20
       + b_2_42·b_2_5·b_7_42 + b_2_42·b_2_5·b_4_12·b_3_8 + b_2_43·b_7_42
       + b_2_52·b_4_12·a_5_19 + b_2_54·b_4_12·a_1_1 + b_2_55·a_3_7 + b_2_4·b_2_55·a_1_2
       + b_2_42·b_4_11·a_5_19 + b_2_42·b_2_52·a_5_19 + b_2_42·b_2_54·a_1_2
       + b_2_43·b_2_5·a_5_19 + b_2_44·b_2_5·a_3_7 + b_2_46·a_1_1 + b_2_46·a_1_0
       + a_2_3·b_2_5·b_4_12·b_5_22 + a_2_3·b_2_54·b_3_8 + a_2_3·b_2_4·b_2_5·b_7_42
       + a_2_3·b_2_4·b_2_52·b_5_22 + a_2_3·b_2_4·b_2_52·b_5_20 + a_2_3·b_2_42·b_7_42
       + a_2_3·b_2_42·b_2_5·b_5_20 + a_2_3·b_2_43·b_5_22 + a_2_3·b_2_43·b_2_5·b_3_8
       + a_2_3·b_2_54·a_3_7 + a_2_3·b_2_55·a_1_2 + a_2_3·b_2_43·b_2_5·a_3_7
       + a_2_3·b_2_44·b_2_5·a_1_2 + a_2_3·b_2_45·a_1_2 + b_4_12·c_4_14·b_5_22
       + b_4_12·c_4_14·b_5_20 + b_2_4·c_4_14·b_7_42 + b_2_52·c_4_14·a_5_19
       + b_2_54·c_4_14·a_1_2 + b_2_54·c_4_14·a_1_1 + b_2_4·b_2_5·c_4_14·a_5_19
       + b_2_42·b_2_5·c_4_14·a_3_7 + b_2_42·b_2_52·c_4_14·a_1_2 + b_2_43·c_4_14·a_3_7
       + b_2_43·b_2_5·c_4_14·a_1_2 + b_2_44·c_4_14·a_1_2 + b_2_44·c_4_14·a_1_1
       + a_2_3·b_4_12·c_4_14·b_3_8 + a_2_3·b_2_5·c_4_14·b_5_20 + a_2_3·b_2_52·c_4_14·a_3_7
       + a_2_3·b_2_4·b_2_5·c_4_14·a_3_7 + a_2_3·b_2_42·c_4_14·a_3_7
       + a_2_3·b_2_42·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_43·c_4_14·a_1_2
       + b_2_5·c_4_142·a_3_7 + b_2_52·c_4_142·a_1_2 + b_2_4·c_4_142·a_3_7
       + b_2_42·c_4_142·a_1_2 + b_2_42·c_4_142·a_1_1 + b_2_42·c_4_142·a_1_0
       + a_2_3·c_4_142·b_3_8 + a_2_3·b_2_5·c_4_142·a_1_2
  156. b_6_33·b_7_42 + b_2_52·b_4_12·b_5_22 + b_2_52·b_4_12·b_5_20
       + b_2_4·b_2_5·b_4_12·b_5_22 + b_2_4·b_2_5·b_4_12·b_5_20 + b_2_4·b_2_53·b_5_22
       + b_2_42·b_4_12·b_5_22 + b_2_42·b_2_5·b_7_42 + b_2_42·b_2_5·b_4_12·b_3_8
       + b_2_42·b_2_52·b_5_22 + b_2_42·b_2_52·b_5_20 + b_2_43·b_7_42
       + b_2_43·b_2_5·b_5_22 + b_2_44·b_5_22 + b_2_44·b_5_20 + b_2_44·b_2_5·b_3_8
       + b_2_45·b_3_8 + b_2_52·b_4_12·a_5_19 + b_2_54·b_4_12·a_1_1 + b_2_55·a_3_7
       + b_2_42·b_4_11·a_5_19 + b_2_42·b_2_52·a_5_19 + b_2_42·b_2_54·a_1_2
       + b_2_43·b_2_5·a_5_19 + b_2_43·b_2_53·a_1_2 + b_2_44·b_4_11·a_1_1
       + b_2_44·b_4_11·a_1_0 + b_2_44·b_2_52·a_1_2 + b_2_45·a_3_7 + b_2_46·a_1_2
       + a_2_3·b_2_54·b_3_8 + a_2_3·b_2_4·b_2_5·b_7_42 + a_2_3·b_2_4·b_2_52·b_5_20
       + a_2_3·b_2_42·b_7_42 + a_2_3·b_2_42·b_4_12·b_3_8 + a_2_3·b_2_43·b_5_20
       + a_2_3·b_2_44·b_3_8 + a_2_3·b_2_55·a_1_2 + a_2_3·b_2_44·a_3_7
       + b_4_12·c_4_14·b_5_22 + b_4_12·c_4_14·b_5_20 + b_2_5·c_4_14·b_7_42
       + b_2_4·b_2_52·c_4_14·b_3_8 + b_2_42·b_2_5·c_4_14·b_3_8 + b_2_52·c_4_14·a_5_19
       + b_2_54·c_4_14·a_1_2 + b_2_54·c_4_14·a_1_1 + b_2_4·b_2_5·c_4_14·a_5_19
       + b_2_42·b_2_52·c_4_14·a_1_2 + b_2_43·b_2_5·c_4_14·a_1_2 + b_2_44·c_4_14·a_1_2
       + b_2_44·c_4_14·a_1_0 + a_2_3·c_4_14·b_7_42 + a_2_3·b_2_52·c_4_14·b_3_8
       + a_2_3·b_2_4·c_4_14·b_5_20 + a_2_3·b_2_4·b_2_5·c_4_14·b_3_8 + a_2_3·c_8_58·a_3_7
       + a_2_3·b_2_5·c_8_58·a_1_2 + a_2_3·b_2_53·c_4_14·a_1_2 + a_2_3·b_2_42·c_4_14·a_3_7
       + a_2_3·b_2_42·b_2_5·c_4_14·a_1_2 + b_2_5·c_4_142·a_3_7 + b_2_52·c_4_142·a_1_2
       + b_2_4·c_4_142·a_3_7 + b_2_42·c_4_142·a_1_2 + b_2_42·c_4_142·a_1_1
       + b_2_42·c_4_142·a_1_0 + a_2_3·c_4_142·b_3_8 + a_2_3·c_4_142·a_3_7
  157. b_8_56·a_5_19 + b_2_52·b_4_12·a_5_19 + b_2_54·a_5_19 + b_2_42·b_4_11·a_5_19
       + b_2_42·b_2_52·a_5_19 + b_2_42·b_2_54·a_1_2 + b_2_43·b_2_53·a_1_2
       + b_2_44·a_5_19 + b_2_44·b_2_52·a_1_2 + b_2_45·b_2_5·a_1_2
       + a_2_3·b_2_5·b_4_12·b_5_22 + a_2_3·b_2_52·b_7_42 + a_2_3·b_2_53·b_5_20
       + a_2_3·b_2_4·b_2_5·b_7_42 + a_2_3·b_2_4·b_2_5·b_4_12·b_3_8
       + a_2_3·b_2_4·b_2_52·b_5_20 + a_2_3·b_2_4·b_2_53·b_3_8 + a_2_3·b_2_42·b_2_5·b_5_22
       + a_2_3·b_2_42·b_2_5·b_5_20 + a_2_3·b_2_43·b_5_22 + a_2_3·b_2_43·b_5_20
       + a_2_3·b_2_43·b_2_5·b_3_8 + a_2_3·b_2_54·a_3_7 + a_2_3·b_2_43·b_2_5·a_3_7
       + a_2_3·b_2_44·a_3_7 + a_2_3·b_2_44·b_2_5·a_1_2 + a_2_3·b_2_45·a_1_2
       + b_2_4·b_2_5·c_4_14·a_5_19 + b_2_4·b_2_53·c_4_14·a_1_2 + b_2_42·c_4_14·a_5_19
       + b_2_43·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_5·c_4_14·b_5_22 + a_2_3·b_2_5·c_4_14·b_5_20
       + a_2_3·b_2_4·c_4_14·b_5_22 + a_2_3·b_2_4·c_4_14·b_5_20 + a_2_3·b_2_52·c_4_14·a_3_7
       + a_2_3·b_2_53·c_4_14·a_1_2 + a_2_3·b_2_4·b_2_5·c_4_14·a_3_7
       + a_2_3·b_2_42·b_2_5·c_4_14·a_1_2 + a_2_3·b_2_43·c_4_14·a_1_2
       + a_2_3·b_2_5·c_4_142·a_1_2 + a_2_3·b_2_4·c_4_142·a_1_2
  158. b_8_56·b_5_22 + b_6_33·b_7_42 + b_2_52·b_4_12·b_5_22 + b_2_52·b_4_12·b_5_20
       + b_2_53·b_7_42 + b_2_54·b_5_20 + b_2_4·b_4_12·b_7_42 + b_2_4·b_2_5·b_4_12·b_5_20
       + b_2_4·b_2_52·b_4_12·b_3_8 + b_2_4·b_2_53·b_5_20 + b_2_4·b_2_54·b_3_8
       + b_2_42·b_4_12·b_5_22 + b_2_42·b_2_5·b_4_12·b_3_8 + b_2_42·b_2_52·b_5_22
       + b_2_42·b_2_52·b_5_20 + b_2_42·b_2_53·b_3_8 + b_2_43·b_7_42
       + b_2_43·b_4_12·b_3_8 + b_2_43·b_2_5·b_5_22 + b_2_44·b_5_22 + b_2_44·b_5_20
       + b_2_44·b_2_5·b_3_8 + b_2_45·b_3_8 + b_2_52·b_4_12·a_5_19 + b_2_54·a_5_19
       + b_2_55·a_3_7 + b_2_56·a_1_2 + b_2_56·a_1_1 + b_2_4·b_2_53·a_5_19
       + b_2_4·b_2_55·a_1_2 + b_2_43·b_2_53·a_1_2 + b_2_44·a_5_19 + b_2_44·b_4_11·a_1_1
       + b_2_44·b_4_11·a_1_0 + b_2_45·a_3_7 + b_2_45·b_2_5·a_1_2 + b_2_46·a_1_1
       + a_2_3·b_2_52·b_4_12·b_3_8 + a_2_3·b_2_53·b_5_20 + a_2_3·b_2_4·b_2_5·b_4_12·b_3_8
       + a_2_3·b_2_4·b_2_52·b_5_22 + a_2_3·b_2_4·b_2_52·b_5_20
       + a_2_3·b_2_42·b_4_12·b_3_8 + a_2_3·b_2_42·b_2_5·b_5_20 + a_2_3·b_2_43·b_5_22
       + a_2_3·b_2_55·a_1_2 + a_2_3·b_2_44·b_2_5·a_1_2 + a_2_3·b_2_45·a_1_2
       + b_2_5·b_4_12·c_4_14·b_3_8 + b_2_52·c_4_14·b_5_22 + b_2_53·c_4_14·b_3_8
       + b_2_4·c_4_14·b_7_42 + b_2_4·b_2_52·c_4_14·b_3_8 + b_2_42·c_4_14·b_5_22
       + b_2_54·c_4_14·a_1_2 + b_2_54·c_4_14·a_1_1 + b_2_43·b_2_5·c_4_14·a_1_2
       + b_2_44·c_4_14·a_1_1 + a_2_3·b_2_5·c_4_14·b_5_22 + a_2_3·b_2_4·c_4_14·b_5_22
       + a_2_3·b_2_4·c_4_14·b_5_20 + a_2_3·b_2_4·b_2_5·c_4_14·b_3_8
       + a_2_3·b_2_42·c_4_14·b_3_8 + a_2_3·b_2_4·c_8_58·a_1_2
       + a_2_3·b_2_4·b_2_5·c_4_14·a_3_7 + a_2_3·b_2_42·b_2_5·c_4_14·a_1_2
       + b_2_52·c_4_142·a_1_2 + b_2_4·b_2_5·c_4_142·a_1_2 + a_2_3·b_2_5·c_4_142·a_1_2
  159. b_8_56·a_5_18 + b_2_54·b_4_12·a_1_1 + b_2_55·a_3_7 + b_2_4·b_2_53·a_5_19
       + b_2_42·b_4_11·a_5_19 + b_2_43·b_2_5·a_5_19 + b_2_43·b_2_53·a_1_2 + b_2_44·a_5_18
       + b_2_45·a_3_7 + b_2_45·b_2_5·a_1_2 + a_2_3·b_2_52·b_7_42 + a_2_3·b_2_53·b_5_22
       + a_2_3·b_2_53·b_5_20 + a_2_3·b_2_4·b_2_5·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_52·b_5_20
       + a_2_3·b_2_4·b_2_53·b_3_8 + a_2_3·b_2_42·b_7_42 + a_2_3·b_2_42·b_2_5·b_5_20
       + a_2_3·b_2_42·b_2_52·b_3_8 + a_2_3·b_2_43·b_5_22 + a_2_3·b_2_43·b_5_20
       + a_2_3·b_2_43·b_2_5·b_3_8 + a_2_3·b_2_44·b_3_8 + a_2_3·b_2_55·a_1_2
       + a_2_3·b_2_43·b_2_5·a_3_7 + a_2_3·b_2_44·b_2_5·a_1_2 + a_2_3·b_2_45·a_1_2
       + b_2_54·c_4_14·a_1_2 + b_2_54·c_4_14·a_1_1 + b_2_4·b_2_53·c_4_14·a_1_2
       + b_2_42·c_4_14·a_5_19 + b_2_42·b_2_5·c_4_14·a_3_7 + b_2_42·b_2_52·c_4_14·a_1_2
       + b_2_43·c_4_14·a_3_7 + b_2_44·c_4_14·a_1_2 + b_2_44·c_4_14·a_1_1
       + a_2_3·b_4_12·c_4_14·b_3_8 + a_2_3·b_2_5·c_4_14·b_5_22 + a_2_3·b_2_52·c_4_14·b_3_8
       + a_2_3·b_2_4·c_4_14·b_5_20 + a_2_3·b_2_4·b_2_5·c_4_14·b_3_8
       + a_2_3·b_2_42·c_4_14·b_3_8 + a_2_3·b_2_4·b_2_5·c_4_14·a_3_7
       + a_2_3·b_2_42·c_4_14·a_3_7 + a_2_3·b_2_5·c_4_142·a_1_2
  160. b_8_56·b_5_20 + b_2_5·b_4_12·b_7_42 + b_2_52·b_4_12·b_5_22 + b_2_52·b_4_12·b_5_20
       + b_2_54·b_5_20 + b_2_4·b_4_12·b_7_42 + b_2_4·b_2_5·b_4_12·b_5_22
       + b_2_4·b_2_5·b_4_12·b_5_20 + b_2_4·b_2_52·b_4_12·b_3_8 + b_2_4·b_2_53·b_5_20
       + b_2_42·b_2_5·b_7_42 + b_2_42·b_2_52·b_5_22 + b_2_43·b_7_42 + b_2_43·b_4_12·b_3_8
       + b_2_43·b_2_5·b_5_22 + b_2_43·b_2_5·b_5_20 + b_2_43·b_2_52·b_3_8 + b_2_45·b_3_8
       + b_2_52·b_4_12·a_5_19 + b_2_55·a_3_7 + b_2_4·b_2_55·a_1_2 + b_2_42·b_4_11·a_5_19
       + b_2_43·b_2_53·a_1_2 + b_2_44·a_5_19 + b_2_44·b_4_11·a_1_1 + b_2_44·b_4_11·a_1_0
       + b_2_45·a_3_7 + b_2_46·a_1_1 + b_2_46·a_1_0 + a_2_3·b_2_52·b_4_12·b_3_8
       + a_2_3·b_2_53·b_5_20 + a_2_3·b_2_54·b_3_8 + a_2_3·b_2_42·b_7_42
       + a_2_3·b_2_42·b_2_5·b_5_20 + a_2_3·b_2_42·b_2_52·b_3_8 + a_2_3·b_2_43·b_5_22
       + a_2_3·b_2_43·b_2_5·a_3_7 + a_2_3·b_2_45·a_1_2 + b_4_12·c_4_14·b_5_22
       + b_4_12·c_4_14·b_5_20 + b_2_5·c_4_14·b_7_42 + b_2_5·b_4_12·c_4_14·b_3_8
       + b_2_52·c_4_14·b_5_20 + b_2_53·c_4_14·b_3_8 + b_2_4·c_4_14·b_7_42
       + b_2_4·b_2_52·c_4_14·b_3_8 + b_2_42·c_4_14·b_5_20 + b_2_52·c_4_14·a_5_19
       + b_2_53·c_4_14·a_3_7 + b_2_4·b_2_5·c_4_14·a_5_19 + b_2_4·b_2_53·c_4_14·a_1_2
       + b_2_42·b_2_52·c_4_14·a_1_2 + b_2_43·c_4_14·a_3_7 + b_2_43·b_2_5·c_4_14·a_1_2
       + b_2_44·c_4_14·a_1_2 + a_2_3·b_4_12·c_4_14·b_3_8 + a_2_3·b_2_5·c_4_14·b_5_20
       + a_2_3·b_2_4·b_2_5·c_4_14·b_3_8 + a_2_3·b_2_42·c_4_14·b_3_8
       + a_2_3·b_2_53·c_4_14·a_1_2 + a_2_3·b_2_42·b_2_5·c_4_14·a_1_2
       + a_2_3·b_2_43·c_4_14·a_1_2 + b_2_5·c_4_142·a_3_7 + b_2_52·c_4_142·a_1_2
       + b_2_4·c_4_142·a_3_7 + b_2_42·c_4_142·a_1_2 + b_2_42·c_4_142·a_1_1
       + b_2_42·c_4_142·a_1_0 + a_2_3·c_4_142·b_3_8 + a_2_3·b_2_5·c_4_142·a_1_2
  161. b_7_422 + b_2_42·b_2_55 + b_2_44·b_2_53 + b_2_45·b_2_52 + b_2_46·b_2_5
       + b_2_4·b_2_53·a_1_2·b_5_22 + b_2_42·b_2_52·a_1_2·b_5_22
       + b_2_42·b_2_53·a_1_2·b_3_8 + b_2_43·b_2_52·a_1_2·b_3_8 + b_2_44·a_1_2·b_5_22
       + b_2_44·b_2_5·a_1_2·b_3_8 + b_2_45·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_53·b_4_13
       + a_2_3·b_2_4·b_2_53·b_4_12 + a_2_3·b_2_4·b_2_55 + a_2_3·b_2_42·b_2_52·b_4_13
       + a_2_3·b_2_42·b_2_52·b_4_12 + a_2_3·b_2_42·b_2_54 + a_2_3·b_2_43·b_2_53
       + a_2_3·b_2_44·b_4_13 + a_2_3·b_2_44·b_4_12 + a_2_3·b_2_46
       + a_2_3·b_2_54·a_1_2·b_3_8 + a_2_3·b_2_43·b_2_5·a_1_2·b_3_8
       + a_2_3·b_2_44·a_1_2·b_3_8 + a_2_32·b_2_53·b_4_12 + a_2_32·b_2_42·b_2_5·b_4_12
       + a_2_32·b_2_44·b_2_5 + a_2_32·b_2_45 + b_2_42·b_2_53·c_4_14
       + b_2_43·b_2_52·c_4_14 + b_2_4·b_2_5·c_4_14·a_1_2·b_5_22
       + a_2_3·b_2_4·b_2_5·b_4_13·c_4_14 + a_2_3·b_2_4·b_2_5·b_4_12·c_4_14
       + a_2_3·b_2_4·b_2_53·c_4_14 + a_2_3·b_2_43·b_2_5·c_4_14 + b_2_52·c_8_58·a_1_22
       + b_2_54·c_4_14·a_1_22 + b_2_44·c_4_14·a_1_22
       + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_42·c_4_14·a_1_2·b_3_8
       + a_2_32·b_2_5·b_4_12·c_4_14 + a_2_32·b_2_4·b_4_12·c_4_14 + c_4_14·c_8_58·a_1_22
       + b_2_52·c_4_142·a_1_22 + b_2_4·b_2_5·c_4_142·a_1_22
       + b_2_42·c_4_142·a_1_22 + a_2_3·c_4_142·a_1_2·b_3_8 + a_2_33·c_4_142
       + c_4_143·a_1_22
  162. b_6_33·b_8_56 + b_2_54·b_6_34 + b_2_57 + b_2_4·b_2_5·b_4_12·b_6_33
       + b_2_4·b_2_54·b_4_13 + b_2_4·b_2_56 + b_2_42·b_4_12·b_6_33
       + b_2_42·b_2_5·b_3_8·b_5_22 + b_2_42·b_2_5·b_8_56 + b_2_42·b_2_52·b_6_34
       + b_2_42·b_2_52·b_6_33 + b_2_42·b_2_53·b_4_13 + b_2_42·b_2_53·b_4_12
       + b_2_43·b_3_8·b_5_22 + b_2_43·b_8_56 + b_2_44·b_2_5·b_4_12 + b_2_44·b_2_53
       + b_2_46·b_2_5 + b_2_54·a_1_2·b_5_22 + b_2_42·b_2_52·a_1_2·b_5_22
       + a_2_3·b_2_5·b_4_12·b_6_33 + a_2_3·b_2_53·b_6_33 + a_2_3·b_2_4·b_4_12·b_6_33
       + a_2_3·b_2_4·b_2_5·b_8_56 + a_2_3·b_2_4·b_2_52·b_6_33 + a_2_3·b_2_4·b_2_53·b_4_12
       + a_2_3·b_2_4·b_2_55 + a_2_3·b_2_42·b_2_5·b_6_33 + a_2_3·b_2_42·b_2_54
       + a_2_3·b_2_43·b_6_33 + a_2_3·b_2_43·b_2_5·b_4_12 + a_2_3·b_2_43·b_2_53
       + a_2_3·b_2_44·b_2_52 + a_2_3·b_2_45·b_2_5 + b_2_45·b_2_5·a_1_22
       + b_2_46·a_1_22 + a_2_3·b_2_43·b_2_5·a_1_2·b_3_8 + a_2_32·b_2_55
       + a_2_32·b_2_43·b_4_12 + a_2_32·b_2_45 + b_4_12·c_4_14·b_6_33
       + b_2_5·c_4_14·b_8_56 + b_2_52·c_4_14·b_6_34 + b_2_52·c_4_14·b_6_33
       + b_2_53·b_4_13·c_4_14 + b_2_55·c_4_14 + b_2_4·b_2_52·b_4_12·c_4_14
       + b_2_4·b_2_54·c_4_14 + b_2_42·c_4_14·b_6_34 + b_2_42·c_4_14·b_6_33
       + b_2_42·b_2_5·b_4_13·c_4_14 + b_2_42·b_2_5·b_4_12·c_4_14 + b_2_42·b_2_53·c_4_14
       + b_2_43·b_2_52·c_4_14 + b_2_44·b_2_5·c_4_14 + b_2_52·c_4_14·a_1_2·b_5_22
       + b_2_4·b_2_5·c_4_14·a_1_2·b_5_22 + b_2_4·b_2_52·c_4_14·a_1_2·b_3_8
       + b_2_42·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_5·c_4_14·b_6_33 + a_2_3·b_2_54·c_4_14
       + a_2_3·b_2_4·c_4_14·b_6_33 + a_2_3·b_2_4·b_2_53·c_4_14
       + a_2_3·b_2_42·b_4_13·c_4_14 + a_2_3·b_2_42·b_4_12·c_4_14
       + a_2_3·b_2_42·b_2_52·c_4_14 + a_2_3·b_2_43·b_2_5·c_4_14 + b_2_54·c_4_14·a_1_22
       + a_2_3·c_8_58·a_1_2·b_3_8 + a_2_3·b_2_52·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_42·c_4_14·a_1_2·b_3_8
       + a_2_32·b_2_5·c_8_58 + a_2_32·b_2_5·b_4_12·c_4_14 + a_2_32·b_2_53·c_4_14
       + a_2_32·b_2_4·c_8_58 + b_2_5·b_4_13·c_4_142 + b_2_5·b_4_12·c_4_142
       + b_2_53·c_4_142 + b_2_4·b_4_13·c_4_142 + b_2_43·c_4_142
       + b_2_4·c_4_142·a_1_2·b_3_8 + a_2_3·b_4_12·c_4_142 + a_2_3·b_2_52·c_4_142
       + a_2_3·b_2_42·c_4_142 + c_4_14·c_8_58·a_1_22 + a_2_3·c_4_142·a_1_2·b_3_8
       + a_2_32·b_2_4·c_4_142 + a_2_33·c_4_142
  163. b_6_34·b_8_56 + b_2_53·b_8_56 + b_2_54·b_6_33 + b_2_4·b_2_54·b_4_13 + b_2_4·b_2_56
       + b_2_42·b_2_52·b_6_34 + b_2_43·b_2_5·b_6_34 + b_2_43·b_2_54 + b_2_44·b_6_34
       + b_2_44·b_6_33 + b_2_44·b_2_5·b_4_12 + b_2_44·b_2_53 + b_2_45·b_4_13
       + b_2_45·b_4_12 + b_2_46·b_2_5 + b_2_47 + b_2_54·a_1_2·b_5_22
       + b_2_4·b_2_53·a_1_2·b_5_22 + b_2_42·b_2_52·a_1_2·b_5_22
       + b_2_43·b_2_52·a_1_2·b_3_8 + b_2_44·a_1_2·b_5_22 + b_2_45·a_1_2·b_3_8
       + a_2_3·b_2_5·b_4_12·b_6_33 + a_2_3·b_2_54·b_4_12 + a_2_3·b_2_4·b_4_12·b_6_33
       + a_2_3·b_2_4·b_2_5·b_8_56 + a_2_3·b_2_4·b_2_52·b_6_33 + a_2_3·b_2_4·b_2_53·b_4_12
       + a_2_3·b_2_42·b_2_5·b_6_33 + a_2_3·b_2_42·b_2_52·b_4_13
       + a_2_3·b_2_42·b_2_52·b_4_12 + a_2_3·b_2_43·b_2_5·b_4_13
       + a_2_3·b_2_43·b_2_5·b_4_12 + a_2_3·b_2_45·b_2_5 + b_2_45·b_2_5·a_1_22
       + b_2_46·a_1_22 + a_2_32·b_2_53·b_4_12 + a_2_32·b_2_42·b_2_5·b_4_12
       + a_2_32·b_2_43·b_4_12 + a_2_32·b_2_44·b_2_5 + a_2_32·b_2_45
       + b_2_5·c_4_14·b_8_56 + b_2_52·c_4_14·b_6_34 + b_2_53·b_4_13·c_4_14 + b_2_55·c_4_14
       + b_2_4·c_4_14·b_3_8·b_5_22 + b_2_4·c_4_14·b_8_56 + b_2_4·b_2_5·c_4_14·b_6_34
       + b_2_4·b_2_52·b_4_12·c_4_14 + b_2_4·b_2_54·c_4_14 + b_2_42·b_2_53·c_4_14
       + b_2_43·b_4_12·c_4_14 + b_2_43·b_2_52·c_4_14 + b_2_52·c_4_14·a_1_2·b_5_22
       + b_2_53·c_4_14·a_1_2·b_3_8 + b_2_4·b_2_5·c_4_14·a_1_2·b_5_22
       + b_2_43·c_4_14·a_1_2·b_3_8 + a_2_3·c_4_14·b_8_56 + a_2_3·b_2_54·c_4_14
       + a_2_3·b_2_4·c_4_14·b_6_33 + a_2_3·b_2_4·b_2_53·c_4_14
       + a_2_3·b_2_42·b_4_13·c_4_14 + a_2_3·b_2_42·b_4_12·c_4_14
       + a_2_3·b_2_43·b_2_5·c_4_14 + b_2_43·b_2_5·c_4_14·a_1_22
       + a_2_3·c_8_58·a_1_2·b_3_8 + a_2_3·b_2_4·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_32·b_2_5·c_8_58 + a_2_32·b_2_5·b_4_12·c_4_14 + a_2_32·b_2_53·c_4_14
       + a_2_32·b_2_4·c_8_58 + a_2_32·b_2_4·b_4_12·c_4_14 + a_2_32·b_2_43·c_4_14
       + b_2_53·c_4_142 + b_2_42·b_2_5·c_4_142 + a_2_3·b_2_52·c_4_142
       + a_2_3·b_2_4·b_2_5·c_4_142 + a_2_3·b_2_42·c_4_142 + c_4_14·c_8_58·a_1_22
       + b_2_52·c_4_142·a_1_22 + b_2_42·c_4_142·a_1_22 + a_2_32·b_2_5·c_4_142
       + a_2_32·b_2_4·c_4_142 + a_2_33·c_4_142 + c_4_143·a_1_22
  164. b_8_56·b_7_42 + b_2_52·b_4_12·b_7_42 + b_2_53·b_4_12·b_5_22 + b_2_53·b_4_12·b_5_20
       + b_2_55·b_5_22 + b_2_55·b_5_20 + b_2_4·b_2_5·b_4_12·b_7_42
       + b_2_4·b_2_52·b_4_12·b_5_20 + b_2_4·b_2_54·b_5_22 + b_2_4·b_2_54·b_5_20
       + b_2_4·b_2_55·b_3_8 + b_2_42·b_4_12·b_7_42 + b_2_42·b_2_5·b_4_12·b_5_22
       + b_2_42·b_2_5·b_4_12·b_5_20 + b_2_42·b_2_52·b_7_42 + b_2_42·b_2_52·b_4_12·b_3_8
       + b_2_43·b_4_12·b_5_22 + b_2_43·b_4_12·b_5_20 + b_2_43·b_2_52·b_5_22
       + b_2_44·b_4_12·b_3_8 + b_2_44·b_2_52·b_3_8 + b_2_45·b_5_22 + b_2_55·a_5_19
       + b_2_57·a_1_2 + b_2_57·a_1_1 + b_2_4·b_2_56·a_1_2 + b_2_43·b_2_54·a_1_2
       + b_2_44·b_2_5·a_5_19 + b_2_45·a_5_19 + b_2_45·b_2_52·a_1_2 + b_2_46·b_2_5·a_1_2
       + b_2_47·a_1_2 + b_2_47·a_1_0 + a_2_3·b_2_53·b_7_42 + a_2_3·b_2_53·b_4_12·b_3_8
       + a_2_3·b_2_54·b_5_22 + a_2_3·b_2_54·b_5_20 + a_2_3·b_2_4·b_2_5·b_4_12·b_5_22
       + a_2_3·b_2_4·b_2_52·b_4_12·b_3_8 + a_2_3·b_2_4·b_2_53·b_5_22
       + a_2_3·b_2_4·b_2_54·b_3_8 + a_2_3·b_2_42·b_4_12·b_5_22
       + a_2_3·b_2_42·b_2_53·b_3_8 + a_2_3·b_2_43·b_7_42 + a_2_3·b_2_43·b_2_5·b_5_20
       + a_2_3·b_2_44·b_5_20 + a_2_3·b_2_55·a_3_7 + a_2_3·b_2_56·a_1_2
       + a_2_3·b_2_45·a_3_7 + b_2_5·b_4_12·c_4_14·b_5_22 + b_2_5·b_4_12·c_4_14·b_5_20
       + b_2_52·c_4_14·b_7_42 + b_2_53·c_4_14·b_5_22 + b_2_53·c_4_14·b_5_20
       + b_2_4·b_2_5·b_4_12·c_4_14·b_3_8 + b_2_4·b_2_52·c_4_14·b_5_22
       + b_2_42·c_4_14·b_7_42 + b_2_42·b_2_5·c_4_14·b_5_20 + b_2_53·c_4_14·a_5_19
       + b_2_54·c_4_14·a_3_7 + b_2_55·c_4_14·a_1_2 + b_2_55·c_4_14·a_1_1
       + b_2_4·b_2_52·c_4_14·a_5_19 + b_2_42·b_2_53·c_4_14·a_1_2
       + b_2_43·b_2_52·c_4_14·a_1_2 + b_2_44·c_4_14·a_3_7 + b_2_44·b_2_5·c_4_14·a_1_2
       + b_2_45·c_4_14·a_1_0 + a_2_3·b_2_5·b_4_12·c_4_14·b_3_8
       + a_2_3·b_2_52·c_4_14·b_5_22 + a_2_3·b_2_4·b_4_12·c_4_14·b_3_8
       + a_2_3·b_2_4·b_2_5·c_4_14·b_5_20 + a_2_3·b_2_42·c_4_14·b_5_22
       + a_2_3·b_2_43·c_4_14·b_3_8 + a_2_3·b_2_52·c_8_58·a_1_2
       + a_2_3·b_2_53·c_4_14·a_3_7 + a_2_3·b_2_54·c_4_14·a_1_2 + a_2_3·b_2_4·c_8_58·a_3_7
       + a_2_3·b_2_4·b_2_5·c_8_58·a_1_2 + a_2_3·b_2_42·b_2_5·c_4_14·a_3_7
       + c_8_58·a_1_02·a_5_18 + b_2_52·c_4_142·a_3_7 + b_2_4·b_2_5·c_4_142·a_3_7
       + b_2_4·b_2_52·c_4_142·a_1_2 + b_2_42·b_2_5·c_4_142·a_1_2
       + a_2_3·b_2_5·c_4_142·b_3_8 + a_2_3·c_4_14·c_8_58·a_1_2 + a_2_3·b_2_4·c_4_142·a_3_7
       + a_2_3·b_2_42·c_4_142·a_1_2 + a_2_3·c_4_143·a_1_2
  165. b_8_562 + b_2_58 + b_2_42·b_2_54·b_4_13 + b_2_44·b_2_52·b_4_13
       + b_2_42·b_2_54·a_1_2·b_3_8 + b_2_44·b_2_52·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_53·b_6_33 + a_2_3·b_2_4·b_2_54·b_4_12
       + a_2_3·b_2_42·b_2_53·b_4_13 + a_2_3·b_2_42·b_2_55 + a_2_3·b_2_43·b_2_5·b_6_33
       + a_2_3·b_2_43·b_2_52·b_4_12 + a_2_3·b_2_43·b_2_54 + a_2_3·b_2_44·b_2_5·b_4_13
       + a_2_3·b_2_44·b_2_53 + a_2_3·b_2_45·b_2_52 + a_2_32·b_2_54·b_4_12
       + a_2_32·b_2_56 + a_2_32·b_2_44·b_4_12 + a_2_32·b_2_46 + b_2_56·c_4_14
       + b_2_4·b_2_53·b_4_13·c_4_14 + b_2_4·b_2_55·c_4_14 + b_2_42·b_2_52·b_4_13·c_4_14
       + b_2_42·b_2_54·c_4_14 + b_2_43·b_2_53·c_4_14 + b_2_44·b_2_52·c_4_14
       + b_2_46·c_4_14 + b_2_4·b_2_53·c_4_14·a_1_2·b_3_8
       + b_2_43·b_2_5·c_4_14·a_1_2·b_3_8 + a_2_3·b_2_52·c_4_14·b_6_33
       + a_2_3·b_2_53·b_4_13·c_4_14 + a_2_3·b_2_55·c_4_14
       + a_2_3·b_2_4·b_2_5·c_4_14·b_6_33 + a_2_3·b_2_42·b_2_5·b_4_13·c_4_14
       + a_2_3·b_2_44·b_2_5·c_4_14 + a_2_3·b_2_42·b_2_5·c_4_14·a_1_2·b_3_8
       + a_2_3·b_2_43·c_4_14·a_1_2·b_3_8 + a_2_32·b_2_52·c_8_58 + a_2_32·b_2_42·c_8_58
       + a_2_32·b_2_43·b_2_5·c_4_14 + b_2_42·b_2_52·c_4_142 + b_2_44·c_4_142
       + b_2_52·c_4_142·a_1_2·b_3_8 + b_2_4·b_2_5·c_4_142·a_1_2·b_3_8
       + a_2_3·b_2_4·b_2_52·c_4_142 + a_2_3·b_2_42·b_2_5·c_4_142
       + b_2_42·b_2_5·c_4_142·a_1_22 + b_2_43·c_4_142·a_1_22
       + a_2_3·b_2_5·c_4_142·a_1_2·b_3_8 + a_2_3·b_2_4·c_4_142·a_1_2·b_3_8
       + a_2_32·c_4_14·c_8_58 + a_2_32·b_4_12·c_4_142 + b_2_5·c_4_143·a_1_22
       + b_2_4·c_4_143·a_1_22 + a_2_32·c_4_143 + a_2_3·c_4_143·a_1_22


About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Data used for Benson′s test

  • Benson′s completion test succeeded in degree 16.
  • The completion test was perfect: It applied in the last degree in which a generator or relation was found.
  • The following is a filter regular homogeneous system of parameters:
    1. c_4_14, a Duflot regular element of degree 4
    2. c_8_58, a Duflot regular element of degree 8
    3. b_2_52 + b_2_4·b_2_5 + b_2_42, an element of degree 4
    4. b_3_8, an element of degree 3
  • The Raw Filter Degree Type of that HSOP is [-1, -1, 7, 12, 15].
  • The filter degree type of any filter regular HSOP is [-1, -2, -3, -4, -4].


About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Restriction maps

Restriction map to the greatest central el. ab. subgp., which is of rank 2

  1. a_1_00, an element of degree 1
  2. a_1_10, an element of degree 1
  3. a_1_20, an element of degree 1
  4. a_2_30, an element of degree 2
  5. b_2_40, an element of degree 2
  6. b_2_50, an element of degree 2
  7. a_3_70, an element of degree 3
  8. b_3_80, an element of degree 3
  9. a_4_70, an element of degree 4
  10. b_4_110, an element of degree 4
  11. b_4_120, an element of degree 4
  12. b_4_130, an element of degree 4
  13. c_4_14c_1_04, an element of degree 4
  14. a_5_180, an element of degree 5
  15. a_5_190, an element of degree 5
  16. b_5_200, an element of degree 5
  17. b_5_220, an element of degree 5
  18. b_6_330, an element of degree 6
  19. b_6_340, an element of degree 6
  20. b_7_420, an element of degree 7
  21. b_8_560, an element of degree 8
  22. c_8_58c_1_18, an element of degree 8

Restriction map to a maximal el. ab. subgp. of rank 4

  1. a_1_00, an element of degree 1
  2. a_1_10, an element of degree 1
  3. a_1_20, an element of degree 1
  4. a_2_30, an element of degree 2
  5. b_2_4c_1_22, an element of degree 2
  6. b_2_5c_1_32, an element of degree 2
  7. a_3_70, an element of degree 3
  8. b_3_8c_1_2·c_1_32 + c_1_22·c_1_3, an element of degree 3
  9. a_4_70, an element of degree 4
  10. b_4_11c_1_22·c_1_32 + c_1_24 + c_1_02·c_1_22, an element of degree 4
  11. b_4_12c_1_22·c_1_32 + c_1_24 + c_1_0·c_1_2·c_1_32 + c_1_0·c_1_22·c_1_3
       + c_1_02·c_1_32 + c_1_02·c_1_22, an element of degree 4
  12. b_4_13c_1_34 + c_1_22·c_1_32 + c_1_02·c_1_32 + c_1_02·c_1_22, an element of degree 4
  13. c_4_14c_1_04, an element of degree 4
  14. a_5_180, an element of degree 5
  15. a_5_190, an element of degree 5
  16. b_5_20c_1_02·c_1_2·c_1_32 + c_1_02·c_1_22·c_1_3, an element of degree 5
  17. b_5_22c_1_22·c_1_33 + c_1_23·c_1_32 + c_1_02·c_1_2·c_1_32 + c_1_02·c_1_22·c_1_3, an element of degree 5
  18. b_6_33c_1_0·c_1_2·c_1_34 + c_1_0·c_1_23·c_1_32 + c_1_02·c_1_34 + c_1_02·c_1_24
       + c_1_03·c_1_2·c_1_32 + c_1_03·c_1_22·c_1_3 + c_1_04·c_1_22, an element of degree 6
  19. b_6_34c_1_36 + c_1_0·c_1_2·c_1_34 + c_1_0·c_1_24·c_1_3 + c_1_02·c_1_34
       + c_1_02·c_1_24 + c_1_04·c_1_32 + c_1_04·c_1_22, an element of degree 6
  20. b_7_42c_1_22·c_1_35 + c_1_24·c_1_33 + c_1_25·c_1_32 + c_1_26·c_1_3
       + c_1_02·c_1_22·c_1_33 + c_1_02·c_1_23·c_1_32, an element of degree 7
  21. b_8_56c_1_38 + c_1_22·c_1_36 + c_1_23·c_1_35 + c_1_24·c_1_34 + c_1_25·c_1_33
       + c_1_0·c_1_22·c_1_35 + c_1_0·c_1_23·c_1_34 + c_1_0·c_1_24·c_1_33
       + c_1_0·c_1_25·c_1_32 + c_1_02·c_1_36 + c_1_02·c_1_22·c_1_34
       + c_1_02·c_1_24·c_1_32 + c_1_02·c_1_26 + c_1_03·c_1_2·c_1_34
       + c_1_03·c_1_23·c_1_32 + c_1_04·c_1_22·c_1_32 + c_1_04·c_1_24, an element of degree 8
  22. c_8_58c_1_22·c_1_36 + c_1_23·c_1_35 + c_1_24·c_1_34 + c_1_25·c_1_33
       + c_1_26·c_1_32 + c_1_12·c_1_22·c_1_34 + c_1_12·c_1_24·c_1_32
       + c_1_14·c_1_34 + c_1_14·c_1_22·c_1_32 + c_1_14·c_1_24 + c_1_18
       + c_1_0·c_1_2·c_1_36 + c_1_0·c_1_24·c_1_33 + c_1_0·c_1_25·c_1_32
       + c_1_0·c_1_26·c_1_3 + c_1_02·c_1_22·c_1_34 + c_1_02·c_1_26
       + c_1_03·c_1_2·c_1_34 + c_1_03·c_1_22·c_1_33 + c_1_03·c_1_23·c_1_32
       + c_1_03·c_1_24·c_1_3 + c_1_04·c_1_22·c_1_32 + c_1_05·c_1_2·c_1_32
       + c_1_05·c_1_22·c_1_3, an element of degree 8


About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128




Simon A. King David J. Green
Fakultät für Mathematik und Informatik Fakultät für Mathematik und Informatik
Friedrich-Schiller-Universität Jena Friedrich-Schiller-Universität Jena
Ernst-Abbe-Platz 2 Ernst-Abbe-Platz 2
D-07743 Jena D-07743 Jena
Germany Germany

E-mail: simon dot king at uni hyphen jena dot de
Tel: +49 (0)3641 9-46184
Fax: +49 (0)3641 9-46162
Office: Zi. 3524, Ernst-Abbe-Platz 2
E-mail: david dot green at uni hyphen jena dot de
Tel: +49 3641 9-46166
Fax: +49 3641 9-46162
Office: Zi 3512, Ernst-Abbe-Platz 2



Last change: 25.08.2009