Cohomology of group number 243 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 8.
  • 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

    (t  +  1) · (t  −  1)4 · (t2  +  1)
  • The a-invariants are -∞,-∞,-4,-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 9:

  1. a_1_0, a nilpotent element of degree 1
  2. a_1_1, a nilpotent element of degree 1
  3. b_1_2, an element of degree 1
  4. a_2_5, a nilpotent element of degree 2
  5. b_2_4, an element of degree 2
  6. a_3_8, a nilpotent element of degree 3
  7. a_3_9, a nilpotent element of degree 3
  8. b_3_7, an element of degree 3
  9. b_4_13, an element of degree 4
  10. b_4_14, an element of degree 4
  11. c_4_15, a Duflot regular element of degree 4
  12. a_5_14, a nilpotent element of degree 5
  13. a_5_16, a nilpotent element of degree 5
  14. b_5_23, an element of degree 5
  15. a_6_19, a nilpotent element of degree 6
  16. b_6_32, an element of degree 6
  17. a_7_29, a nilpotent element of degree 7
  18. a_7_31, a nilpotent element of degree 7
  19. b_7_44, an element of degree 7
  20. b_8_58, an element of degree 8
  21. c_8_60, a Duflot regular element of degree 8
  22. b_9_78, an element of degree 9

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

Ring relations

There are 169 minimal relations of maximal degree 18:

  1. a_1_02
  2. a_1_0·a_1_1
  3. a_1_0·b_1_22 + a_1_13
  4. a_2_5·a_1_1
  5. a_2_5·a_1_0
  6. b_2_4·a_1_1 + a_1_13
  7. b_2_4·a_1_0·b_1_2 + a_2_52
  8. a_1_1·a_3_8
  9. a_1_0·a_3_8
  10. a_1_0·a_3_9
  11. a_1_1·b_3_7 + a_1_12·b_1_22 + a_1_13·b_1_2
  12. a_1_0·b_3_7
  13. a_1_13·b_1_22
  14. b_2_4·a_3_9 + a_2_5·a_3_8 + a_1_12·a_3_9
  15. a_2_5·a_3_9
  16. b_1_22·a_3_8 + a_2_5·b_3_7 + a_1_12·a_3_9
  17. b_1_22·a_3_9 + b_4_13·a_1_1
  18. b_4_13·a_1_0 + a_1_12·a_3_9
  19. b_4_14·a_1_1 + a_1_12·b_1_23 + a_1_12·a_3_9
  20. b_4_14·a_1_0 + a_2_5·a_3_8
  21. a_3_82 + a_2_52·b_2_4
  22. a_3_8·a_3_9
  23. a_3_8·b_3_7 + a_2_5·b_2_4·b_1_22 + a_2_5·b_1_2·a_3_8
  24. b_3_72 + b_2_4·b_1_24
  25. a_3_92 + c_4_15·a_1_12
  26. a_3_9·b_3_7 + b_4_13·a_1_12 + a_1_12·b_1_2·a_3_9
  27. b_1_23·b_3_7 + b_4_14·b_1_22 + b_2_4·b_1_2·b_3_7 + b_2_4·b_1_24 + a_3_9·b_3_7
       + a_2_5·b_1_24 + a_2_5·b_4_13 + a_1_12·b_1_2·a_3_9
  28. b_2_4·b_1_2·a_3_8 + a_2_5·b_1_2·b_3_7 + a_2_5·b_4_14 + a_2_5·b_2_4·b_1_22
       + a_2_52·b_2_4
  29. a_1_0·a_5_14 + a_2_5·b_1_2·a_3_8
  30. a_1_1·a_5_16 + a_1_1·a_5_14 + a_1_12·b_1_2·a_3_9
  31. a_1_0·a_5_16 + a_2_5·b_1_2·a_3_8
  32. a_3_9·b_3_7 + a_1_1·b_5_23 + a_1_1·a_5_14 + a_1_12·b_1_24 + c_4_15·a_1_1·b_1_2
  33. a_1_0·b_5_23 + c_4_15·a_1_0·b_1_2
  34. b_4_13·a_3_9 + b_4_13·a_1_13 + c_4_15·a_1_1·b_1_22
  35. b_4_14·a_3_9 + b_4_13·a_1_12·b_1_2 + c_4_15·a_1_13
  36. b_4_14·a_3_8 + a_2_5·b_2_4·b_3_7 + a_2_5·b_2_4·b_1_23 + a_2_5·b_2_42·b_1_2
       + a_2_5·b_2_4·a_3_8
  37. b_4_14·b_3_7 + b_2_4·b_1_22·b_3_7 + b_2_4·b_1_25 + b_2_42·b_1_23 + b_4_13·a_3_9
       + b_4_13·a_3_8 + a_2_5·b_4_14·b_1_2 + a_2_5·b_2_4·b_3_7 + a_2_5·b_2_4·b_1_23
       + c_4_15·a_1_1·b_1_22 + c_4_15·a_1_13
  38. b_4_13·a_3_9 + a_2_5·a_5_14 + c_4_15·a_1_1·b_1_22
  39. b_1_22·a_5_16 + b_1_22·a_5_14 + b_4_13·a_3_9 + a_2_5·b_2_4·b_3_7 + a_1_12·b_1_25
       + b_4_13·a_1_12·b_1_2 + a_1_12·a_5_14 + c_4_15·a_1_1·b_1_22 + c_4_15·a_1_13
  40. b_4_14·b_3_7 + b_2_4·b_1_25 + b_2_4·b_4_14·b_1_2 + b_2_42·b_3_7 + b_4_13·a_3_8
       + b_2_4·a_5_16 + b_2_42·a_3_8 + a_2_5·b_2_4·b_1_23 + a_1_12·a_5_14 + c_4_15·a_1_13
  41. a_2_5·a_5_16 + a_2_5·b_2_4·a_3_8
  42. b_1_22·b_5_23 + b_4_14·b_3_7 + b_4_14·b_1_23 + b_4_13·b_3_7 + b_2_4·b_1_22·b_3_7
       + b_2_4·b_1_25 + b_2_42·b_1_23 + b_1_22·a_5_14 + b_4_13·a_3_9 + b_4_13·a_3_8
       + a_2_5·b_4_13·b_1_2 + a_2_5·b_2_4·b_1_23 + a_1_12·b_1_25 + b_4_13·a_1_12·b_1_2
       + c_4_15·b_1_23 + c_4_15·a_1_1·b_1_22
  43. b_4_14·b_3_7 + b_2_4·b_1_22·b_3_7 + b_2_4·b_1_25 + b_2_42·b_1_23 + a_2_5·b_5_23
       + a_2_5·b_2_4·b_3_7 + a_2_5·b_2_4·b_1_23 + a_2_5·c_4_15·b_1_2
  44. b_4_13·a_3_9 + a_1_1·b_1_2·a_5_14 + a_6_19·a_1_1 + b_4_13·a_1_12·b_1_2 + a_1_12·a_5_14
       + c_4_15·a_1_1·b_1_22
  45. b_4_13·a_3_9 + a_6_19·a_1_0 + c_4_15·a_1_1·b_1_22
  46. b_6_32·a_1_1 + b_4_13·a_3_9 + a_1_1·b_1_2·a_5_14 + a_1_12·b_1_25
       + b_4_13·a_1_12·b_1_2 + c_4_15·a_1_1·b_1_22 + c_4_15·a_1_12·b_1_2 + c_4_15·a_1_13
  47. b_4_14·b_3_7 + b_2_4·b_1_25 + b_2_4·b_4_14·b_1_2 + b_2_42·b_3_7 + b_6_32·a_1_0
       + b_4_13·a_3_8 + b_2_4·a_5_14 + a_2_5·b_2_4·b_1_23 + a_2_5·b_2_4·a_3_8 + a_1_12·a_5_14
       + c_4_15·a_1_13
  48. b_4_142 + b_2_4·b_1_26 + b_2_42·b_1_24 + b_2_43·b_1_22 + a_2_52·b_2_42
       + a_2_52·c_4_15
  49. a_3_8·a_5_14
  50. a_3_9·a_5_16 + a_3_9·a_5_14 + b_4_13·a_1_13·b_1_2 + c_4_15·a_1_13·b_1_2
  51. a_3_8·a_5_16 + a_2_52·b_2_42
  52. b_3_7·a_5_16 + b_3_7·a_5_14 + a_2_5·b_2_42·b_1_22 + a_2_52·b_4_14
  53. a_3_9·b_5_23 + a_3_9·a_5_14 + b_4_13·a_1_12·b_1_22 + b_4_13·a_1_13·b_1_2
       + c_4_15·b_1_2·a_3_9 + c_4_15·a_1_12·b_1_22 + c_4_15·a_1_13·b_1_2
  54. a_3_8·b_5_23 + a_2_5·b_2_4·b_1_2·b_3_7 + a_2_5·b_2_4·b_1_24 + a_2_5·b_2_4·b_4_13
       + a_2_5·b_2_42·b_1_22 + c_4_15·b_1_2·a_3_8
  55. b_3_7·b_5_23 + b_2_4·b_1_26 + b_2_4·b_4_14·b_1_22 + b_2_4·b_4_13·b_1_22
       + b_2_42·b_1_2·b_3_7 + b_3_7·a_5_14 + a_2_5·b_4_14·b_1_22 + a_2_5·b_2_4·b_1_24
       + a_2_5·b_2_4·b_4_13 + c_4_15·b_1_2·b_3_7
  56. b_4_13·b_1_2·b_3_7 + b_4_13·b_4_14 + b_2_4·b_1_2·b_5_23 + b_2_4·b_4_14·b_1_22
       + b_2_4·b_4_13·b_1_22 + b_2_4·b_1_2·a_5_14 + a_2_5·b_4_13·b_1_22
       + a_2_5·b_2_4·b_1_24 + a_2_5·b_2_4·b_4_13 + a_2_5·b_2_42·b_1_22 + a_2_52·b_4_14
       + b_2_4·c_4_15·b_1_22 + a_2_5·c_4_15·b_1_22 + c_4_15·a_1_12·b_1_22
       + a_2_52·c_4_15
  57. b_3_7·a_5_14 + a_2_5·b_1_2·b_5_23 + a_2_5·b_1_26 + a_2_5·b_4_14·b_1_22
       + a_6_19·a_1_1·b_1_2 + b_4_13·a_1_12·b_1_22 + b_4_13·a_1_13·b_1_2
       + a_2_5·c_4_15·b_1_22
  58. b_4_132 + b_2_4·b_1_26 + b_2_4·b_4_14·b_1_22 + b_2_42·b_1_2·b_3_7
       + b_2_42·b_1_24 + b_2_4·b_1_2·a_5_14 + a_2_5·b_1_26 + a_2_5·b_4_14·b_1_22
       + a_2_5·b_2_4·b_1_2·b_3_7 + a_2_5·b_2_4·b_1_24 + b_4_13·a_1_12·b_1_22
       + a_6_19·a_1_12 + c_4_15·b_1_24 + a_2_52·c_4_15
  59. b_4_132 + b_2_4·b_1_26 + b_2_4·b_4_14·b_1_22 + b_2_42·b_1_2·b_3_7
       + b_2_42·b_1_24 + a_2_5·b_1_26 + a_2_5·b_2_4·b_4_13 + b_4_13·a_1_12·b_1_22
       + a_2_5·a_6_19 + a_2_52·b_4_14 + c_4_15·b_1_24 + a_2_52·c_4_15
  60. b_4_132 + b_2_4·b_1_26 + b_2_4·b_4_14·b_1_22 + b_2_42·b_1_2·b_3_7
       + b_2_42·b_1_24 + b_2_4·b_1_2·a_5_14 + b_2_4·a_6_19 + a_2_5·b_1_2·b_5_23
       + a_2_5·b_1_26 + a_2_5·b_6_32 + a_2_5·b_2_4·b_1_24 + a_2_5·b_2_42·b_1_22
       + b_4_13·a_1_12·b_1_22 + a_2_52·b_2_42 + c_4_15·b_1_24 + a_2_5·c_4_15·b_1_22
  61. b_3_7·a_5_14 + a_2_5·b_1_2·b_5_23 + a_2_5·b_1_26 + a_2_5·b_4_14·b_1_22
       + a_1_1·a_7_29 + b_4_13·a_1_12·b_1_22 + b_4_13·a_1_13·b_1_2 + a_2_5·c_4_15·b_1_22
       + c_4_15·a_1_1·a_3_9 + c_4_15·a_1_13·b_1_2
  62. a_1_0·a_7_29
  63. b_4_132 + b_2_4·b_1_26 + b_2_4·b_4_14·b_1_22 + b_2_42·b_1_2·b_3_7
       + b_2_42·b_1_24 + b_2_4·b_1_2·a_5_14 + a_2_5·b_1_26 + a_2_5·b_4_14·b_1_22
       + a_2_5·b_2_4·b_1_2·b_3_7 + a_2_5·b_2_4·b_1_24 + a_3_9·a_5_14 + a_1_1·a_7_31
       + b_4_13·a_1_13·b_1_2 + c_4_15·b_1_24 + c_4_15·a_1_12·b_1_22 + a_2_52·c_4_15
  64. a_1_0·a_7_31 + b_4_13·a_1_13·b_1_2
  65. a_1_1·b_7_44 + a_1_12·b_1_26 + b_4_13·a_1_12·b_1_22
  66. a_1_0·b_7_44 + a_2_52·b_4_14 + a_2_52·b_2_42
  67. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_4_14·a_5_14
       + a_2_5·b_2_4·b_5_23 + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_4·b_4_13·b_1_2
       + b_4_14·c_4_15·b_1_2 + a_2_5·c_4_15·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_2
       + a_2_5·c_4_15·a_3_8
  68. b_4_13·b_5_23 + b_4_13·b_4_14·b_1_2 + b_2_4·b_4_14·b_1_23 + b_2_42·b_4_14·b_1_2
       + b_2_43·b_3_7 + b_2_43·b_1_23 + b_4_14·a_5_16 + b_4_14·a_5_14 + b_4_13·a_5_14
       + b_2_42·a_5_16 + b_2_43·a_3_8 + a_2_5·b_4_14·b_1_23 + a_2_5·b_4_13·b_3_7
       + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_42·b_3_7 + a_2_5·b_2_43·b_1_2
       + b_4_13·a_1_12·b_1_23 + a_2_5·b_2_42·a_3_8 + c_4_15·b_1_22·b_3_7
       + b_4_13·c_4_15·b_1_2 + a_2_5·c_4_15·b_1_23 + c_4_15·a_1_12·b_1_23
       + a_2_5·c_4_15·a_3_8 + c_4_15·a_1_12·a_3_9
  69. b_4_14·a_5_16 + b_4_14·a_5_14 + a_2_5·b_2_42·b_3_7 + a_2_5·b_2_42·b_1_23
       + a_2_5·b_2_43·b_1_2 + a_6_19·a_3_8 + a_2_5·b_2_42·a_3_8
  70. b_4_14·a_5_16 + b_4_13·a_5_16 + b_4_13·a_5_14 + a_2_5·b_1_27 + a_2_5·b_4_14·b_1_23
       + a_2_5·b_4_13·b_3_7 + a_2_5·b_2_4·b_4_14·b_1_2 + a_2_5·b_2_4·b_4_13·b_1_2
       + a_2_5·b_2_43·b_1_2 + a_6_19·a_1_1·b_1_22 + a_2_5·b_2_42·a_3_8
       + a_6_19·a_1_12·b_1_2 + c_4_15·a_1_12·b_1_23 + c_4_15·a_1_12·a_3_9
  71. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_6_32·a_3_9
       + b_4_14·a_5_16 + b_4_13·a_5_16 + b_4_13·a_5_14 + a_2_5·b_2_4·b_1_25
       + a_2_5·b_2_4·b_4_14·b_1_2 + a_2_5·b_2_4·b_4_13·b_1_2 + a_2_5·b_2_42·b_3_7
       + a_2_5·b_2_42·b_1_23 + a_2_5·b_2_43·b_1_2 + a_6_19·a_3_9 + a_2_5·b_2_42·a_3_8
       + b_4_14·c_4_15·b_1_2 + a_2_5·c_4_15·b_3_7 + c_4_15·a_1_1·b_1_2·a_3_9
       + c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_3_8
  72. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_1_22·a_7_29
       + b_1_24·a_5_14 + a_6_19·b_3_7 + b_4_14·a_5_16 + b_4_14·a_5_14 + b_4_13·a_1_1·b_1_24
       + a_2_5·b_4_14·b_1_23 + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_42·b_3_7
       + a_2_5·b_2_42·b_1_23 + a_2_5·b_2_43·b_1_2 + a_1_12·b_1_27
       + a_6_19·a_1_1·b_1_22 + b_4_13·a_1_12·b_1_23 + a_2_5·b_2_42·a_3_8
       + b_4_14·c_4_15·b_1_2 + b_4_13·c_4_15·a_1_1 + a_2_5·c_4_15·b_3_7
       + a_2_5·c_4_15·b_1_23 + c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_3_8
       + c_4_15·a_1_12·a_3_9
  73. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_6_32·a_3_8
       + b_4_14·a_5_16 + b_4_14·a_5_14 + b_4_13·a_5_16 + b_4_13·a_5_14 + b_2_4·a_7_29
       + b_2_43·a_3_8 + a_2_5·b_1_27 + a_2_5·b_4_13·b_3_7 + a_2_5·b_2_4·b_1_25
       + a_2_5·b_2_4·b_4_14·b_1_2 + a_6_19·a_1_1·b_1_22 + b_4_14·c_4_15·b_1_2
       + b_2_42·c_4_15·a_1_0 + a_2_5·c_4_15·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_2
       + c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_3_8
  74. b_4_14·a_5_16 + b_4_14·a_5_14 + a_2_5·b_2_42·b_3_7 + a_2_5·b_2_42·b_1_23
       + a_2_5·b_2_43·b_1_2 + a_2_5·a_7_29
  75. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_1_22·a_7_31
       + b_1_24·a_5_14 + a_6_19·b_1_23 + b_4_14·a_5_14 + b_4_13·a_5_16 + a_2_5·b_1_27
       + a_2_5·b_4_13·b_3_7 + a_2_5·b_4_13·b_1_23 + a_2_5·b_2_4·b_1_25
       + a_2_5·b_2_4·b_4_14·b_1_2 + a_2_5·b_2_4·b_4_13·b_1_2 + a_2_5·b_2_42·b_1_23
       + b_4_14·c_4_15·b_1_2 + c_4_15·a_1_1·b_1_24 + a_2_5·c_4_15·b_3_7
       + a_2_5·c_4_15·b_1_23 + c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_3_8
  76. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_4_14·a_5_16
       + b_4_14·a_5_14 + a_2_5·b_1_27 + a_2_5·b_4_14·b_1_23 + a_2_5·b_4_13·b_3_7
       + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_43·b_1_2 + a_1_1·b_1_2·a_7_31 + a_6_19·a_3_9
       + a_6_19·a_1_1·b_1_22 + a_2_5·b_2_42·a_3_8 + b_4_14·c_4_15·b_1_2
       + a_2_5·c_4_15·b_3_7 + a_2_5·c_4_15·a_3_8
  77. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_4_14·a_5_14
       + b_4_13·a_5_16 + b_4_13·a_5_14 + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_4·b_4_14·b_1_2
       + a_2_5·b_2_4·b_4_13·b_1_2 + b_4_13·a_1_12·b_1_23 + a_1_12·a_7_31
       + b_4_14·c_4_15·b_1_2 + a_2_5·c_4_15·b_3_7 + c_4_15·a_1_12·b_1_23
       + a_2_5·c_4_15·a_3_8 + c_4_15·a_1_12·a_3_9
  78. b_4_14·a_5_16 + b_4_14·a_5_14 + b_4_13·a_5_16 + b_4_13·a_5_14 + b_2_4·a_7_31
       + b_2_42·a_5_16 + b_2_42·a_5_14 + b_2_43·a_3_8 + a_2_5·b_6_32·b_1_2
       + a_2_5·b_4_14·b_1_23 + a_2_5·b_2_42·b_1_23 + b_4_13·a_1_12·b_1_23
       + b_2_42·c_4_15·a_1_0 + c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_3_8
       + c_4_15·a_1_12·a_3_9
  79. a_2_5·a_7_31
  80. b_6_32·b_3_7 + b_4_14·b_5_23 + b_2_4·b_7_44 + b_2_4·b_4_14·b_1_23 + b_2_4·b_4_13·b_3_7
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_2_44·b_1_2
       + b_6_32·a_3_8 + b_4_14·a_5_14 + b_2_42·a_5_14 + b_2_43·a_3_8 + a_2_5·b_1_27
       + a_2_5·b_6_32·b_1_2 + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_4·b_4_13·b_1_2
       + a_2_5·b_2_42·b_3_7 + a_2_5·b_2_43·b_1_2 + a_6_19·a_1_1·b_1_22
       + b_4_13·a_1_12·b_1_23 + a_2_5·b_2_42·a_3_8 + b_4_14·c_4_15·b_1_2
       + b_2_4·c_4_15·a_3_8 + a_2_5·b_2_4·c_4_15·b_1_2 + c_4_15·a_1_12·b_1_23
  81. a_6_19·b_3_7 + b_4_14·a_5_14 + b_4_13·a_5_16 + b_4_13·a_5_14 + a_2_5·b_7_44
       + a_2_5·b_4_13·b_3_7 + a_2_5·b_2_4·b_1_25 + a_2_5·b_2_4·b_4_13·b_1_2
       + a_2_5·b_2_43·b_1_2 + a_2_5·b_2_42·a_3_8 + c_4_15·a_1_12·b_1_23
       + a_2_5·c_4_15·a_3_8 + c_4_15·a_1_12·a_3_9
  82. b_4_14·b_5_23 + b_2_4·b_1_27 + b_2_4·b_4_13·b_3_7 + b_2_4·b_4_13·b_1_23
       + b_2_42·b_1_25 + b_2_42·b_4_13·b_1_2 + b_2_43·b_1_23 + b_8_58·a_1_1
       + b_4_14·a_5_16 + b_4_14·a_5_14 + b_4_13·a_1_1·b_1_24 + a_2_5·b_1_27
       + a_2_5·b_4_14·b_1_23 + a_2_5·b_4_13·b_3_7 + a_2_5·b_2_4·b_1_25
       + a_2_5·b_2_43·b_1_2 + a_1_12·b_1_27 + a_6_19·a_3_9 + a_2_5·b_2_42·a_3_8
       + b_4_14·c_4_15·b_1_2 + b_4_13·c_4_15·a_1_1 + a_2_5·c_4_15·b_3_7 + a_2_5·c_4_15·a_3_8
       + c_4_15·a_1_12·a_3_9
  83. b_8_58·a_1_0 + b_4_14·a_5_16 + b_4_14·a_5_14 + b_2_42·a_5_16 + b_2_42·a_5_14
       + b_2_43·a_3_8 + a_2_5·b_2_42·b_3_7 + a_2_5·b_2_42·b_1_23 + a_2_5·b_2_43·b_1_2
       + a_2_5·b_2_42·a_3_8 + a_2_5·c_4_15·a_3_8 + c_4_15·a_1_12·a_3_9
  84. a_5_162 + a_5_142 + a_2_52·b_2_43
  85. a_5_16·b_5_23 + a_2_5·b_1_28 + a_2_5·b_4_14·b_1_24 + a_2_5·b_4_13·b_1_24
       + a_2_5·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_4_13
       + a_2_5·b_2_43·b_1_22 + a_5_14·a_5_16 + a_6_19·a_1_1·b_1_23 + b_4_13·a_1_1·a_5_14
       + b_4_13·a_1_12·b_1_24 + a_6_19·a_1_1·a_3_9 + c_4_15·b_1_2·a_5_16
       + a_2_5·c_4_15·b_1_2·b_3_7 + a_2_5·c_4_15·b_1_2·a_3_8
  86. a_5_16·b_5_23 + a_5_14·b_5_23 + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_1_24
       + a_2_5·b_2_42·b_4_13 + a_2_5·b_2_43·b_1_22 + a_6_19·a_1_1·a_3_9
       + a_6_19·a_1_12·b_1_22 + c_4_15·b_1_2·a_5_16 + c_4_15·b_1_2·a_5_14
  87. b_5_232 + b_2_4·b_1_28 + b_2_42·b_4_14·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_2_5·b_2_4·b_1_26 + a_2_5·b_2_42·b_4_13 + a_5_142 + a_2_52·b_6_32
       + a_2_52·b_2_4·b_4_14 + b_2_4·c_4_15·b_1_24 + a_2_52·b_2_4·c_4_15
       + c_4_152·b_1_22
  88. a_3_9·a_7_29 + b_4_13·a_1_1·a_5_14 + a_6_19·a_1_1·a_3_9 + c_4_15·a_1_12·b_1_24
       + c_4_15·a_1_12·b_1_2·a_3_9 + c_4_152·a_1_12
  89. b_5_232 + b_2_4·b_1_28 + b_2_42·b_4_14·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_2_5·b_2_4·b_1_26 + a_2_5·b_2_42·b_4_13 + a_5_142 + a_3_8·a_7_29
       + a_2_52·b_2_43 + b_2_4·c_4_15·b_1_24 + a_2_5·c_4_15·b_1_2·a_3_8
       + a_2_52·b_2_4·c_4_15 + c_4_152·b_1_22
  90. a_5_16·b_5_23 + b_3_7·a_7_29 + a_2_5·b_6_32·b_1_22 + a_2_5·b_4_13·b_1_24
       + a_2_5·b_4_13·b_4_14 + a_2_5·b_2_4·b_1_26 + a_2_5·b_2_4·b_4_13·b_1_22
       + a_2_5·b_2_42·b_1_24 + a_2_5·b_2_42·b_4_13 + a_5_142 + b_4_13·a_1_1·a_5_14
       + b_4_13·a_1_12·b_1_24 + a_2_52·b_2_4·b_4_14 + c_4_15·b_1_2·a_5_16
       + b_4_13·c_4_15·a_1_12 + a_2_5·c_4_15·b_1_2·a_3_8 + c_4_15·a_1_12·b_1_2·a_3_9
  91. a_5_16·b_5_23 + a_5_14·b_5_23 + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_1_24
       + a_2_5·b_2_42·b_4_13 + a_2_5·b_2_43·b_1_22 + a_5_14·a_5_16 + a_5_142
       + a_2_5·b_1_2·a_7_29 + a_2_52·b_2_4·b_4_14 + c_4_15·b_1_2·a_5_16 + c_4_15·b_1_2·a_5_14
  92. a_3_9·a_7_31 + a_6_19·a_1_1·a_3_9 + c_4_15·a_1_1·a_5_14 + c_4_15·a_1_12·b_1_24
       + b_4_13·c_4_15·a_1_12
  93. a_5_16·b_5_23 + a_5_14·b_5_23 + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_1_24
       + a_2_5·b_2_42·b_4_13 + a_2_5·b_2_43·b_1_22 + a_5_14·a_5_16 + a_5_142
       + a_3_8·a_7_31 + a_2_52·b_2_4·b_4_14 + c_4_15·b_1_2·a_5_16 + c_4_15·b_1_2·a_5_14
  94. b_5_232 + b_2_4·b_1_28 + b_2_42·b_4_14·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_5_16·b_5_23 + b_3_7·a_7_31 + b_4_14·a_6_19 + b_2_4·b_1_2·a_7_29
       + a_2_5·b_6_32·b_1_22 + a_2_5·b_4_14·b_1_24 + a_2_5·b_2_4·b_4_13·b_1_22
       + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_4_14 + a_2_5·b_2_43·b_1_22
       + a_5_14·a_5_16 + a_5_142 + a_2_52·b_2_4·b_4_14 + a_2_52·b_2_43
       + a_6_19·a_1_1·a_3_9 + b_2_4·c_4_15·b_1_24 + c_4_15·b_1_2·a_5_16
       + a_2_5·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_22 + c_4_15·a_1_12·b_1_24
       + c_4_15·a_1_12·b_1_2·a_3_9 + c_4_152·b_1_22
  95. a_3_9·b_7_44 + b_4_13·a_1_12·b_1_24 + a_2_52·b_2_4·b_4_14
       + c_4_15·a_1_12·b_1_24
  96. b_5_232 + b_2_4·b_1_28 + b_2_42·b_4_14·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_3_8·b_7_44 + a_2_5·b_6_32·b_1_22 + a_2_5·b_4_14·b_1_24 + a_2_5·b_4_13·b_4_14
       + a_2_5·b_2_4·b_1_2·b_5_23 + a_2_5·b_2_4·b_1_26 + a_2_5·b_2_4·b_4_14·b_1_22
       + a_2_5·b_2_4·b_4_13·b_1_22 + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_1_24
       + a_2_5·b_2_42·b_4_14 + a_2_5·b_2_42·b_4_13 + a_2_5·b_2_43·b_1_22 + a_5_142
       + b_2_4·c_4_15·b_1_24 + a_2_5·b_2_4·c_4_15·b_1_22 + a_2_5·c_4_15·b_1_2·a_3_8
       + c_4_152·b_1_22
  97. b_3_7·b_7_44 + b_6_32·b_1_24 + b_4_14·b_1_26 + b_4_13·b_4_14·b_1_22
       + b_2_4·b_4_13·b_1_24 + b_2_4·b_4_13·b_4_14 + b_2_42·b_1_2·b_5_23 + b_2_42·b_1_26
       + b_2_42·b_4_14·b_1_22 + b_2_42·b_4_13·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_5_14·b_5_23 + b_1_25·a_5_14 + b_4_14·a_6_19 + b_2_4·b_1_2·a_7_29
       + a_2_5·b_4_14·b_1_24 + a_2_5·b_4_13·b_1_24 + a_2_5·b_4_13·b_4_14
       + a_2_5·b_2_4·b_1_26 + a_2_5·b_2_4·b_4_14·b_1_22 + a_2_5·b_2_4·b_4_13·b_1_22
       + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_4_14 + a_5_142 + a_1_12·b_1_28
       + b_4_13·a_1_1·a_5_14 + a_2_52·b_2_4·b_4_14 + a_2_52·b_2_43
       + b_2_42·c_4_15·b_1_22 + c_4_15·b_1_2·a_5_14 + c_4_15·a_1_1·b_1_25
       + a_2_5·b_2_4·c_4_15·b_1_22 + a_2_5·c_4_15·b_1_2·a_3_8 + c_4_15·a_1_12·b_1_2·a_3_9
  98. b_5_232 + b_2_4·b_1_28 + b_2_42·b_4_14·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_5_16·b_5_23 + b_4_14·a_6_19 + b_2_4·b_1_2·a_7_29 + a_2_5·b_1_2·b_7_44
       + a_2_5·b_6_32·b_1_22 + a_2_5·b_4_14·b_1_24 + a_2_5·b_4_13·b_1_24
       + a_2_5·b_2_4·b_4_14·b_1_22 + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_4_14
       + b_4_13·a_1_1·a_5_14 + b_4_13·a_1_12·b_1_24 + a_2_52·b_2_43 + a_6_19·a_1_1·a_3_9
       + b_2_4·c_4_15·b_1_24 + c_4_15·b_1_2·a_5_16 + a_2_5·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_4·c_4_15·b_1_22 + a_2_5·c_4_15·b_1_2·a_3_8 + c_4_15·a_1_12·b_1_2·a_3_9
       + c_4_152·b_1_22
  99. a_5_14·b_5_23 + a_2_5·b_1_28 + a_2_5·b_4_14·b_1_24 + a_2_5·b_4_13·b_1_24
       + a_2_5·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_24 + a_5_14·a_5_16 + a_5_142
       + a_1_12·b_1_28 + b_4_13·a_1_1·a_5_14 + a_6_19·a_1_1·a_3_9 + c_4_15·b_1_2·a_5_14
       + a_2_5·c_4_15·b_1_2·b_3_7 + c_8_60·a_1_12 + c_4_15·a_1_12·b_1_24
       + a_2_5·c_4_15·b_1_2·a_3_8 + c_4_15·a_1_12·b_1_2·a_3_9
  100. b_5_232 + b_8_58·b_1_22 + b_4_14·b_1_26 + b_4_13·b_1_26 + b_2_4·b_1_2·b_7_44
       + b_2_4·b_1_28 + b_2_4·b_6_32·b_1_22 + b_2_42·b_4_14·b_1_22
       + b_2_42·b_4_13·b_1_22 + b_2_44·b_1_22 + a_5_14·b_5_23 + a_6_19·b_1_24
       + b_4_13·a_1_1·b_1_25 + b_4_13·a_6_19 + b_2_4·b_1_2·a_7_29 + a_2_5·b_1_28
       + a_2_5·b_6_32·b_1_22 + a_2_5·b_4_14·b_1_24 + a_2_5·b_4_13·b_1_24
       + a_2_5·b_2_4·b_1_2·b_5_23 + a_2_5·b_2_4·b_4_13·b_1_22 + a_2_5·b_2_42·b_1_24
       + a_2_5·b_2_42·b_4_13 + a_5_14·a_5_16 + a_5_142 + b_4_13·c_4_15·b_1_22
       + b_2_4·c_4_15·b_1_2·b_3_7 + c_4_15·b_1_2·a_5_14 + a_2_5·c_4_15·b_1_2·b_3_7
       + a_2_5·c_4_15·b_1_24 + a_2_5·b_4_14·c_4_15 + a_2_5·b_4_13·c_4_15
       + b_4_13·c_4_15·a_1_12 + a_2_52·b_2_4·c_4_15 + c_4_152·b_1_22
  101. b_5_232 + b_4_14·b_6_32 + b_2_4·b_1_2·b_7_44 + b_2_4·b_8_58 + b_2_4·b_6_32·b_1_22
       + b_2_42·b_1_26 + b_2_42·b_6_32 + b_2_42·b_4_13·b_1_22 + b_2_43·b_4_14
       + b_2_43·b_4_13 + a_5_14·b_5_23 + b_2_4·b_1_2·a_7_29 + a_2_5·b_6_32·b_1_22
       + a_2_5·b_4_13·b_1_24 + a_2_5·b_2_4·b_1_2·b_5_23 + a_2_5·b_2_4·b_4_14·b_1_22
       + a_2_5·b_2_4·b_4_13·b_1_22 + a_2_5·b_2_42·b_1_24 + a_2_5·b_2_42·b_4_13
       + b_4_13·a_1_1·a_5_14 + a_2_52·b_2_4·b_4_14 + a_6_19·a_1_1·a_3_9
       + b_2_4·c_4_15·b_1_2·b_3_7 + b_2_4·c_4_15·b_1_24 + b_2_4·b_4_14·c_4_15
       + b_2_4·b_4_13·c_4_15 + c_4_15·b_1_2·a_5_14 + a_2_5·b_4_14·c_4_15
       + c_4_15·a_1_12·b_1_24 + c_4_152·b_1_22
  102. b_5_232 + b_2_4·b_1_28 + b_2_42·b_4_14·b_1_22 + b_2_43·b_1_2·b_3_7
       + a_5_16·b_5_23 + a_5_14·b_5_23 + b_2_4·b_1_2·a_7_29 + a_2_5·b_8_58
       + a_2_5·b_4_13·b_1_24 + a_2_5·b_2_4·b_1_2·b_5_23 + a_2_5·b_2_4·b_6_32
       + a_2_5·b_2_4·b_4_14·b_1_22 + a_2_5·b_2_4·b_4_13·b_1_22
       + a_2_5·b_2_42·b_1_2·b_3_7 + a_2_5·b_2_42·b_1_24 + a_2_5·b_2_42·b_4_13 + a_5_142
       + a_2_52·b_2_43 + a_6_19·a_1_1·a_3_9 + b_2_4·c_4_15·b_1_24 + c_4_15·b_1_2·a_5_16
       + c_4_15·b_1_2·a_5_14 + a_2_5·c_4_15·b_1_2·b_3_7 + a_2_5·b_4_14·c_4_15
       + a_2_5·b_4_13·c_4_15 + c_4_15·a_1_12·b_1_2·a_3_9 + c_4_152·b_1_22
  103. a_5_14·b_5_23 + a_1_1·b_9_78 + a_2_5·b_1_28 + a_2_5·b_4_14·b_1_24
       + a_2_5·b_4_13·b_1_24 + a_2_5·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_24 + a_5_14·a_5_16
       + a_1_12·b_1_28 + b_4_13·a_1_12·b_1_24 + c_8_60·a_1_1·b_1_2 + c_4_15·b_1_2·a_5_14
       + a_2_5·c_4_15·b_1_2·b_3_7 + b_4_13·c_4_15·a_1_12 + a_2_5·c_4_15·b_1_2·a_3_8
  104. a_5_16·b_5_23 + a_5_14·b_5_23 + a_1_0·b_9_78 + a_2_5·b_2_42·b_1_2·b_3_7
       + a_2_5·b_2_42·b_1_24 + a_2_5·b_2_42·b_4_13 + a_2_5·b_2_43·b_1_22
       + a_5_14·a_5_16 + a_5_142 + a_2_52·b_2_4·b_4_14 + c_8_60·a_1_0·b_1_2
       + c_4_15·b_1_2·a_5_16 + c_4_15·b_1_2·a_5_14
  105. a_6_19·a_5_16 + a_6_19·a_5_14 + a_2_5·b_2_4·a_7_29 + a_2_5·b_2_43·a_3_8
       + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14
  106. a_6_19·b_5_23 + b_4_14·a_7_31 + b_4_13·a_7_29 + b_4_13·b_1_22·a_5_14 + a_2_5·b_1_29
       + a_2_5·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_4·b_4_14·b_1_23
       + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_42·b_5_23 + a_2_5·b_2_42·b_4_14·b_1_2
       + a_2_5·b_2_43·b_3_7 + a_6_19·a_5_16 + a_6_19·a_1_1·b_1_24 + b_4_13·a_6_19·a_1_1
       + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14 + c_4_15·a_1_1·b_1_26
       + c_4_15·a_6_19·b_1_2 + a_2_5·b_4_14·c_4_15·b_1_2 + a_2_5·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_4·c_4_15·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_23 + a_2_5·b_2_42·c_4_15·b_1_2
       + b_4_13·c_4_15·a_1_12·b_1_2 + a_2_5·b_2_4·c_4_15·a_3_8 + c_4_152·a_1_1·b_1_22
       + c_4_152·a_1_13
  107. b_4_13·a_7_31 + b_4_13·b_1_22·a_5_14 + b_4_13·a_6_19·b_1_2 + a_2_5·b_4_14·b_1_25
       + a_2_5·b_4_13·b_1_25 + a_2_5·b_2_4·b_1_27 + a_2_5·b_2_4·b_4_14·b_1_23
       + a_2_5·b_2_4·b_4_13·b_3_7 + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_42·b_4_14·b_1_2
       + a_2_5·b_2_42·b_4_13·b_1_2 + a_2_5·b_2_43·b_3_7 + a_2_5·b_2_43·b_1_23
       + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14 + c_4_15·b_1_22·a_5_14
       + b_4_13·c_4_15·a_1_1·b_1_22 + a_2_5·c_4_15·b_1_25 + a_2_5·b_4_14·c_4_15·b_1_2
       + a_2_5·b_4_13·c_4_15·b_1_2 + a_2_5·b_2_4·c_4_15·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_23
       + c_4_15·a_1_12·b_1_25 + c_4_15·a_1_12·a_5_14 + b_4_13·c_4_15·a_1_13
       + c_4_152·a_1_13
  108. b_6_32·b_1_25 + b_4_14·b_7_44 + b_4_14·b_1_27 + b_4_13·b_4_14·b_1_23
       + b_2_4·b_1_22·b_7_44 + b_2_4·b_6_32·b_1_23 + b_2_4·b_4_14·b_1_25
       + b_2_4·b_4_13·b_1_25 + b_2_42·b_1_27 + b_2_43·b_1_25 + b_2_43·b_4_14·b_1_2
       + b_2_44·b_1_23 + b_1_26·a_5_14 + b_4_14·a_7_29 + b_4_13·a_7_29
       + b_4_13·b_1_22·a_5_14 + a_2_5·b_1_29 + a_2_5·b_4_14·b_1_25
       + a_2_5·b_2_4·b_4_13·b_3_7 + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_42·b_1_25
       + a_2_5·b_2_42·b_4_14·b_1_2 + a_2_5·b_2_42·b_4_13·b_1_2 + a_2_5·b_2_43·b_1_23
       + a_1_12·b_1_29 + a_6_19·a_5_16 + a_6_19·a_5_14 + a_6_19·a_1_1·b_1_24
       + b_4_13·a_6_19·a_1_1 + a_6_19·a_1_12·b_1_23 + a_2_5·b_4_14·c_4_15·b_1_2
       + a_2_5·b_4_13·c_4_15·b_1_2 + a_2_5·b_2_4·c_4_15·b_3_7 + a_2_5·b_2_42·c_4_15·b_1_2
       + c_4_15·a_1_12·a_5_14 + c_4_152·a_1_1·b_1_22
  109. b_4_14·a_7_29 + a_2_5·b_1_29 + a_2_5·b_6_32·b_1_23 + a_2_5·b_2_4·b_7_44
       + a_2_5·b_2_4·b_1_27 + a_2_5·b_2_4·b_6_32·b_1_2 + a_2_5·b_2_4·b_4_14·b_1_23
       + a_2_5·b_2_4·b_4_13·b_3_7 + a_2_5·b_2_42·b_4_14·b_1_2 + a_2_5·b_2_42·b_4_13·b_1_2
       + a_2_5·b_2_43·b_3_7 + a_6_19·a_1_1·b_1_24 + b_4_13·a_1_12·a_5_14
       + a_2_5·b_4_14·c_4_15·b_1_2 + b_4_13·c_4_15·a_1_12·b_1_2 + b_4_13·c_4_15·a_1_13
       + c_4_152·a_1_13
  110. a_6_19·b_5_23 + b_4_14·a_7_29 + b_4_13·a_7_29 + b_4_13·b_1_22·a_5_14
       + a_2_5·b_1_22·b_7_44 + a_2_5·b_4_14·b_1_25 + a_2_5·b_4_13·b_1_25
       + a_2_5·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_4·b_1_27 + a_2_5·b_2_4·b_6_32·b_1_2
       + a_2_5·b_2_4·b_4_14·b_1_23 + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_42·b_5_23
       + a_2_5·b_2_43·b_3_7 + a_2_5·b_2_43·b_1_23 + a_2_5·b_2_44·b_1_2 + a_6_19·a_5_16
       + b_4_13·a_1_12·b_1_25 + a_2_5·b_2_43·a_3_8 + b_4_13·a_1_12·a_5_14
       + c_4_15·a_1_1·b_1_26 + c_4_15·a_6_19·b_1_2 + a_2_5·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_4·c_4_15·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_23 + a_2_5·b_2_42·c_4_15·b_1_2
       + a_2_5·b_2_4·c_4_15·a_3_8 + c_4_15·a_1_12·a_5_14 + c_4_152·a_1_1·b_1_22
  111. b_6_32·a_5_16 + b_6_32·a_5_14 + b_2_42·a_7_29 + b_2_44·a_3_8
       + a_2_5·b_2_4·b_4_14·b_1_23 + a_2_5·b_2_42·b_5_23 + a_2_5·b_2_44·b_1_2
       + a_2_5·b_2_43·a_3_8 + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14
       + b_2_4·c_8_60·a_1_0 + b_2_43·c_4_15·a_1_0 + b_2_4·c_4_152·a_1_0
  112. a_1_12·b_1_29 + a_6_19·a_5_14 + a_6_19·a_1_1·b_1_24 + b_4_13·a_1_12·b_1_25
       + b_4_13·a_6_19·a_1_1 + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14
       + c_8_60·a_1_12·b_1_2 + c_8_60·a_1_13 + b_4_13·c_4_15·a_1_13
  113. b_8_58·a_3_9 + a_6_19·a_5_16 + a_6_19·a_5_14 + b_4_13·a_1_12·b_1_25
       + b_4_13·a_6_19·a_1_1 + a_6_19·a_1_12·b_1_23 + c_4_15·a_1_1·b_1_26
       + c_4_15·a_1_12·b_1_25 + c_4_15·a_6_19·a_1_1 + c_4_15·a_1_12·a_5_14
       + c_4_152·a_1_1·b_1_22 + c_4_152·a_1_13
  114. b_8_58·a_3_8 + b_2_42·a_7_29 + b_2_44·a_3_8 + a_2_5·b_4_13·b_4_14·b_1_2
       + a_2_5·b_2_4·b_1_27 + a_2_5·b_2_4·b_6_32·b_1_2 + a_2_5·b_2_4·b_4_14·b_1_23
       + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_43·b_3_7 + a_6_19·a_5_16 + a_6_19·a_5_14
       + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14 + b_2_43·c_4_15·a_1_0
       + a_2_5·c_4_15·b_5_23 + a_2_5·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_4·c_4_15·b_3_7
       + a_2_5·b_2_4·c_4_15·a_3_8 + a_2_5·c_4_152·b_1_2 + c_4_152·a_1_13
  115. b_8_58·b_3_7 + b_4_13·b_4_14·b_1_23 + b_2_4·b_1_29 + b_2_4·b_6_32·b_1_23
       + b_2_4·b_4_13·b_1_25 + b_2_42·b_7_44 + b_2_42·b_1_27 + b_2_42·b_4_13·b_3_7
       + b_2_42·b_4_13·b_1_23 + b_2_43·b_4_14·b_1_2 + b_2_44·b_3_7 + b_2_45·b_1_2
       + a_6_19·b_5_23 + b_4_14·a_7_29 + b_2_42·a_7_29 + b_2_43·a_5_16 + b_2_43·a_5_14
       + b_2_44·a_3_8 + a_2_5·b_1_29 + a_2_5·b_4_13·b_1_25 + a_2_5·b_2_4·b_1_27
       + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_42·b_5_23 + a_2_5·b_2_42·b_1_25
       + a_2_5·b_2_43·b_1_23 + a_2_5·b_2_44·b_1_2 + a_6_19·a_5_16 + a_6_19·a_1_1·b_1_24
       + b_4_13·a_1_12·b_1_25 + a_2_5·b_2_43·a_3_8 + a_6_19·a_1_12·b_1_23
       + b_4_13·a_1_12·a_5_14 + b_4_13·c_4_15·b_3_7 + b_2_4·b_4_14·c_4_15·b_1_2
       + b_2_42·c_4_15·b_3_7 + c_4_15·a_6_19·b_1_2 + b_2_4·c_4_15·a_5_16
       + b_2_43·c_4_15·a_1_0 + a_2_5·c_4_15·b_5_23 + a_2_5·c_4_15·b_1_25
       + a_2_5·b_2_4·c_4_15·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_23 + a_2_5·b_2_42·c_4_15·b_1_2
       + c_4_15·a_1_12·b_1_25 + b_4_13·c_4_15·a_1_12·b_1_2 + c_4_15·a_1_12·a_5_14
       + b_4_13·c_4_15·a_1_13 + a_2_5·c_4_152·b_1_2 + c_4_152·a_1_13
  116. b_2_4·b_8_58·b_1_2 + b_2_4·b_4_14·b_1_25 + b_2_4·b_4_13·b_1_25 + b_2_42·b_7_44
       + b_2_42·b_6_32·b_1_2 + b_2_43·b_4_13·b_1_2 + b_2_44·b_3_7 + b_2_45·b_1_2
       + b_6_32·a_5_16 + a_6_19·b_5_23 + b_4_14·a_7_29 + b_4_13·a_7_29 + b_4_13·b_1_22·a_5_14
       + b_2_43·a_5_16 + b_2_43·a_5_14 + a_2_5·b_1_29 + a_2_5·b_6_32·b_1_23
       + a_2_5·b_2_4·b_1_27 + a_2_5·b_2_4·b_4_13·b_3_7 + a_2_5·b_2_42·b_1_25
       + a_2_5·b_2_42·b_4_14·b_1_2 + a_2_5·b_2_42·b_4_13·b_1_2 + a_2_5·b_2_43·b_3_7
       + a_1_12·b_1_29 + a_6_19·a_5_16 + b_4_13·a_1_12·b_1_25 + b_4_13·a_6_19·a_1_1
       + b_4_13·a_1_12·a_5_14 + b_2_4·b_4_13·c_4_15·b_1_2 + b_2_42·c_4_15·b_3_7
       + b_2_42·c_4_15·b_1_23 + c_4_15·a_1_1·b_1_26 + c_4_15·a_6_19·b_1_2
       + b_2_4·c_4_15·a_5_16 + a_2_5·b_4_13·c_4_15·b_1_2 + a_2_5·b_2_42·c_4_15·b_1_2
       + c_8_60·a_1_12·b_1_2 + c_4_15·a_6_19·a_1_1 + b_4_13·c_4_15·a_1_12·b_1_2
       + b_4_13·c_4_15·a_1_13 + c_4_152·a_1_1·b_1_22
  117. b_1_22·b_9_78 + b_6_32·b_1_25 + b_4_14·b_7_44 + b_4_13·b_7_44 + b_2_4·b_1_29
       + b_2_4·b_6_32·b_1_23 + b_2_4·b_4_14·b_1_25 + b_2_4·b_4_13·b_4_14·b_1_2
       + b_2_43·b_1_25 + b_2_43·b_4_13·b_1_2 + b_2_44·b_3_7 + b_2_44·b_1_23
       + b_4_13·a_1_1·b_1_26 + b_4_13·a_6_19·b_1_2 + b_2_43·a_5_16 + b_2_44·a_3_8
       + a_2_5·b_1_29 + a_2_5·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_4·b_6_32·b_1_2
       + a_2_5·b_2_4·b_4_14·b_1_23 + a_2_5·b_2_4·b_4_13·b_3_7 + a_2_5·b_2_42·b_4_13·b_1_2
       + a_2_5·b_2_44·b_1_2 + a_1_12·b_1_29 + a_6_19·a_5_14 + a_6_19·a_1_1·b_1_24
       + b_4_13·a_1_12·b_1_25 + a_2_5·b_2_43·a_3_8 + c_8_60·b_1_23 + b_4_13·c_4_15·b_3_7
       + b_2_4·b_4_14·c_4_15·b_1_2 + b_2_42·c_4_15·b_3_7 + b_2_42·c_4_15·b_1_23
       + c_4_15·a_1_1·b_1_26 + b_2_4·c_4_15·a_5_16 + b_2_42·c_4_15·a_3_8
       + a_2_5·c_4_15·b_5_23 + a_2_5·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_4·c_4_15·b_3_7
       + a_2_5·b_2_42·c_4_15·b_1_2 + c_8_60·a_1_12·b_1_2 + b_4_13·c_4_15·a_1_12·b_1_2
       + a_2_5·b_2_4·c_4_15·a_3_8 + c_4_15·a_1_12·a_5_14 + b_4_13·c_4_15·a_1_13
       + a_2_5·c_4_152·b_1_2
  118. b_6_32·b_5_23 + b_6_32·b_1_25 + b_4_14·b_7_44 + b_4_14·b_1_27
       + b_4_13·b_4_14·b_1_23 + b_2_4·b_9_78 + b_2_4·b_1_29 + b_2_4·b_4_14·b_1_25
       + b_2_4·b_4_13·b_1_25 + b_2_42·b_4_13·b_3_7 + b_2_43·b_5_23 + b_2_43·b_1_25
       + b_2_43·b_4_14·b_1_2 + b_2_43·b_4_13·b_1_2 + b_2_44·b_1_23 + b_1_26·a_5_14
       + b_6_32·a_5_16 + b_4_14·a_7_29 + b_4_13·a_7_29 + b_4_13·b_1_22·a_5_14 + b_2_42·a_7_29
       + b_2_43·a_5_16 + a_2_5·b_4_13·b_1_25 + a_2_5·b_2_4·b_6_32·b_1_2
       + a_2_5·b_2_4·b_4_13·b_1_23 + a_2_5·b_2_42·b_5_23 + a_2_5·b_2_42·b_4_14·b_1_2
       + a_2_5·b_2_44·b_1_2 + a_1_12·b_1_29 + b_4_13·a_1_12·b_1_25
       + a_2_5·b_2_43·a_3_8 + a_6_19·a_1_12·b_1_23 + b_4_13·a_1_12·a_5_14
       + c_4_15·b_6_32·b_1_2 + b_2_4·c_8_60·b_1_2 + b_2_4·c_4_15·b_5_23
       + b_2_4·c_4_15·b_1_25 + b_2_4·b_4_14·c_4_15·b_1_2 + b_2_42·c_4_15·b_3_7
       + b_2_43·c_4_15·b_1_2 + b_2_4·c_4_15·a_5_14 + b_2_42·c_4_15·a_3_8
       + b_2_43·c_4_15·a_1_0 + a_2_5·c_4_15·b_5_23 + a_2_5·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_4·c_4_15·b_3_7 + b_4_13·c_4_15·a_1_12·b_1_2 + a_2_5·b_2_4·c_4_15·a_3_8
       + c_4_15·a_1_12·a_5_14 + b_4_13·c_4_15·a_1_13 + b_2_4·c_4_152·b_1_2
       + c_4_152·a_1_1·b_1_22 + b_2_4·c_4_152·a_1_0 + a_2_5·c_4_152·b_1_2
  119. b_4_14·a_7_29 + b_4_13·a_7_29 + b_4_13·b_1_22·a_5_14 + a_2_5·b_9_78 + a_2_5·b_1_29
       + a_2_5·b_6_32·b_1_23 + a_2_5·b_4_14·b_1_25 + a_2_5·b_2_4·b_6_32·b_1_2
       + a_2_5·b_2_4·b_4_13·b_3_7 + a_2_5·b_2_42·b_1_25 + a_2_5·b_2_42·b_4_13·b_1_2
       + a_2_5·b_2_43·b_3_7 + a_2_5·b_2_43·b_1_23 + a_2_5·b_2_44·b_1_2 + a_6_19·a_5_16
       + a_6_19·a_5_14 + a_6_19·a_1_1·b_1_24 + b_4_13·a_1_12·b_1_25 + b_4_13·a_6_19·a_1_1
       + a_2_5·b_2_43·a_3_8 + a_6_19·a_1_12·b_1_23 + c_4_15·a_1_1·b_1_26
       + a_2_5·c_8_60·b_1_2 + a_2_5·c_4_15·b_5_23 + a_2_5·b_4_14·c_4_15·b_1_2
       + a_2_5·b_4_13·c_4_15·b_1_2 + a_2_5·b_2_4·c_4_15·b_1_23 + c_4_15·a_1_12·a_5_14
       + b_4_13·c_4_15·a_1_13 + c_4_152·a_1_1·b_1_22 + a_2_5·c_4_152·b_1_2
  120. a_5_16·a_7_29 + a_5_14·a_7_29 + a_2_52·b_2_4·b_6_32 + a_2_52·b_2_42·b_4_14
       + a_2_52·b_2_44 + a_6_19·a_1_12·b_1_24 + b_4_13·a_6_19·a_1_12
       + a_2_52·b_4_14·c_4_15 + c_4_152·a_1_13·b_1_2
  121. a_5_14·a_7_29 + a_6_19·b_1_2·a_5_14 + c_4_15·a_1_1·a_7_31
       + b_4_13·c_4_15·a_1_12·b_1_22 + a_2_52·b_4_14·c_4_15 + c_4_152·a_1_12·b_1_22
  122. b_5_23·a_7_29 + a_2_5·b_1_210 + a_2_5·b_6_32·b_1_24 + a_2_5·b_4_13·b_1_26
       + a_2_5·b_4_13·b_6_32 + a_2_5·b_4_13·b_4_14·b_1_22 + a_2_5·b_2_4·b_1_2·b_7_44
       + a_2_5·b_2_4·b_1_28 + a_2_5·b_2_4·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_14·b_1_24
       + a_2_5·b_2_4·b_4_13·b_1_24 + a_2_5·b_2_4·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_26
       + a_2_5·b_2_42·b_4_13·b_1_22 + a_2_5·b_2_43·b_1_24 + a_2_5·b_2_43·b_4_13
       + a_5_16·a_7_31 + a_5_14·a_7_31 + a_5_14·a_7_29 + a_6_19·a_1_1·b_1_25
       + b_4_13·a_6_19·a_1_1·b_1_2 + a_6_19·a_1_12·b_1_24 + c_4_15·b_1_2·a_7_29
       + a_2_5·c_4_15·b_1_2·b_5_23 + a_2_5·b_2_4·c_4_15·b_1_24
       + b_4_13·c_4_15·a_1_12·b_1_22 + c_4_15·a_6_19·a_1_12 + a_2_5·c_4_152·b_1_22
       + c_4_152·a_1_12·b_1_22 + c_4_152·a_1_13·b_1_2
  123. b_5_23·b_7_44 + b_4_14·b_1_2·b_7_44 + b_4_13·b_6_32·b_1_22 + b_4_13·b_4_14·b_1_24
       + b_2_4·b_4_14·b_1_26 + b_2_42·b_4_14·b_1_24 + b_2_42·b_4_13·b_1_24
       + b_2_43·b_1_2·b_5_23 + b_2_43·b_1_26 + b_2_44·b_1_2·b_3_7 + b_2_44·b_1_24
       + b_5_23·a_7_29 + a_5_14·b_7_44 + b_4_13·b_1_23·a_5_14 + a_2_5·b_1_210
       + a_2_5·b_4_13·b_1_26 + a_2_5·b_2_4·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_14·b_1_24
       + a_2_5·b_2_42·b_1_26 + a_2_5·b_2_42·b_4_14·b_1_22
       + a_2_5·b_2_42·b_4_13·b_1_22 + a_2_5·b_2_43·b_1_2·b_3_7 + a_2_5·b_2_44·b_1_22
       + a_5_16·a_7_31 + a_5_14·a_7_31 + a_5_14·a_7_29 + a_6_19·a_1_1·b_1_25
       + b_4_13·a_1_12·b_1_26 + b_4_13·a_6_19·a_1_1·b_1_2 + a_2_52·b_2_4·b_6_32
       + a_2_52·b_2_42·b_4_14 + a_6_19·a_1_12·b_1_24 + b_4_13·a_6_19·a_1_12
       + c_4_15·b_1_2·b_7_44 + b_4_14·c_4_15·b_1_24 + b_2_4·c_4_15·b_1_26
       + b_2_4·b_4_14·c_4_15·b_1_22 + b_2_42·c_4_15·b_1_2·b_3_7 + b_2_42·c_4_15·b_1_24
       + b_2_43·c_4_15·b_1_22 + c_4_15·b_1_2·a_7_29 + b_4_13·c_4_15·a_1_1·b_1_23
       + c_4_15·a_1_12·b_1_26 + b_4_13·c_4_15·a_1_12·b_1_22 + a_2_52·b_4_14·c_4_15
       + c_4_15·a_6_19·a_1_12 + b_4_13·c_4_15·a_1_13·b_1_2 + c_4_152·a_1_12·b_1_22
       + c_4_152·a_1_13·b_1_2
  124. b_5_23·b_7_44 + b_4_14·b_1_2·b_7_44 + b_4_13·b_6_32·b_1_22 + b_4_13·b_4_14·b_1_24
       + b_2_4·b_4_14·b_1_26 + b_2_42·b_4_14·b_1_24 + b_2_42·b_4_13·b_1_24
       + b_2_43·b_1_2·b_5_23 + b_2_43·b_1_26 + b_2_44·b_1_2·b_3_7 + b_2_44·b_1_24
       + b_5_23·a_7_29 + a_5_16·b_7_44 + b_4_13·b_1_23·a_5_14 + a_2_5·b_1_210
       + a_2_5·b_4_13·b_1_26 + a_2_5·b_2_4·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_2·b_5_23
       + a_2_5·b_2_42·b_1_26 + a_2_5·b_2_43·b_1_24 + a_2_5·b_2_43·b_4_14
       + a_5_14·a_7_29 + a_6_19·a_1_1·b_1_25 + b_4_13·a_1_12·b_1_26
       + b_4_13·a_6_19·a_1_1·b_1_2 + a_2_52·b_2_4·b_6_32 + a_6_19·a_1_12·b_1_24
       + c_4_15·b_1_2·b_7_44 + b_4_14·c_4_15·b_1_24 + b_2_4·c_4_15·b_1_26
       + b_2_4·b_4_14·c_4_15·b_1_22 + b_2_42·c_4_15·b_1_2·b_3_7 + b_2_42·c_4_15·b_1_24
       + b_2_43·c_4_15·b_1_22 + c_4_15·b_1_2·a_7_29 + b_4_13·c_4_15·a_1_1·b_1_23
       + a_2_5·b_2_42·c_4_15·b_1_22 + c_4_15·a_1_12·b_1_26
       + b_4_13·c_4_15·a_1_12·b_1_22 + a_2_52·b_2_42·c_4_15 + c_4_152·a_1_12·b_1_22
       + c_4_152·a_1_13·b_1_2
  125. b_5_23·b_7_44 + b_4_14·b_1_2·b_7_44 + b_4_13·b_6_32·b_1_22 + b_4_13·b_4_14·b_1_24
       + b_2_4·b_4_14·b_1_26 + b_2_42·b_4_14·b_1_24 + b_2_42·b_4_13·b_1_24
       + b_2_43·b_1_2·b_5_23 + b_2_43·b_1_26 + b_2_44·b_1_2·b_3_7 + b_2_44·b_1_24
       + b_5_23·a_7_31 + b_1_27·a_5_14 + a_6_19·b_1_26 + b_4_13·b_1_23·a_5_14
       + b_4_13·a_1_1·b_1_27 + a_2_5·b_1_23·b_7_44 + a_2_5·b_1_210
       + a_2_5·b_4_14·b_1_26 + a_2_5·b_4_13·b_6_32 + a_2_5·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_4·b_4_13·b_1_24 + a_2_5·b_2_4·b_4_13·b_4_14
       + a_2_5·b_2_42·b_1_2·b_5_23 + a_2_5·b_2_42·b_4_14·b_1_22
       + a_2_5·b_2_43·b_1_2·b_3_7 + a_2_5·b_2_43·b_1_24 + a_5_16·a_7_31 + a_5_14·a_7_31
       + a_6_19·b_1_2·a_5_14 + a_6_19·a_1_1·b_1_25 + b_4_13·a_1_12·b_1_26
       + b_4_13·a_6_19·a_1_1·b_1_2 + a_6_19·a_1_12·b_1_24 + b_4_13·a_6_19·a_1_12
       + c_4_15·b_1_2·b_7_44 + b_4_14·c_4_15·b_1_24 + b_2_4·c_4_15·b_1_26
       + b_2_4·b_4_14·c_4_15·b_1_22 + b_2_42·c_4_15·b_1_2·b_3_7 + b_2_42·c_4_15·b_1_24
       + b_2_43·c_4_15·b_1_22 + c_4_15·b_1_2·a_7_31 + b_4_13·c_4_15·a_1_1·b_1_23
       + a_2_5·c_4_15·b_1_2·b_5_23 + a_2_5·c_4_15·b_1_26 + a_2_5·b_2_42·c_4_15·b_1_22
       + c_8_60·a_1_1·a_3_9 + c_8_60·a_1_12·b_1_22 + c_4_15·a_1_12·b_1_26
       + c_4_15·a_6_19·a_1_12 + a_2_5·c_4_152·b_1_22 + c_4_152·a_1_13·b_1_2
  126. a_5_16·a_7_31 + b_4_13·a_1_12·b_1_26 + a_2_52·b_2_42·b_4_14
       + b_4_13·a_6_19·a_1_12 + c_8_60·a_1_1·a_3_9 + c_4_15·a_6_19·a_1_1·b_1_2
       + a_2_52·b_4_14·c_4_15 + c_8_60·a_1_13·b_1_2 + c_4_15·a_6_19·a_1_12
       + b_4_13·c_4_15·a_1_13·b_1_2 + c_4_152·a_1_13·b_1_2
  127. a_5_14·a_7_31 + a_6_19·b_1_2·a_5_14 + a_6_192 + b_4_13·a_1_12·b_1_26
       + b_4_13·a_6_19·a_1_1·b_1_2 + c_8_60·a_1_1·a_3_9 + c_4_15·a_6_19·a_1_1·b_1_2
       + a_2_52·c_8_60 + a_2_52·b_4_14·c_4_15 + b_4_13·c_4_15·a_1_13·b_1_2
       + a_2_52·c_4_152 + c_4_152·a_1_13·b_1_2
  128. b_6_322 + b_4_14·b_8_58 + b_4_13·b_4_14·b_1_24 + b_2_4·b_6_32·b_1_24
       + b_2_4·b_4_14·b_1_26 + b_2_4·b_4_13·b_4_14·b_1_22 + b_2_42·b_1_28
       + b_2_42·b_4_13·b_4_14 + b_2_43·b_1_26 + b_2_43·b_4_14·b_1_22
       + b_2_43·b_4_13·b_1_22 + b_2_44·b_4_13 + b_5_23·a_7_29 + a_6_19·b_6_32
       + a_2_5·b_1_23·b_7_44 + a_2_5·b_1_210 + a_2_5·b_4_13·b_1_26 + a_2_5·b_2_4·b_1_28
       + a_2_5·b_2_42·b_1_2·b_5_23 + a_2_5·b_2_42·b_1_26 + a_2_5·b_2_42·b_4_14·b_1_22
       + a_2_5·b_2_43·b_1_24 + a_2_5·b_2_43·b_4_14 + a_2_5·b_2_44·b_1_22
       + a_2_5·b_2_45 + a_5_16·a_7_31 + a_5_14·a_7_29 + a_6_19·a_1_1·b_1_25
       + a_2_52·b_2_42·b_4_14 + a_6_19·a_1_12·b_1_24 + b_4_13·b_4_14·c_4_15
       + b_2_4·c_4_15·b_1_26 + b_2_4·b_4_14·c_4_15·b_1_22 + b_2_42·c_8_60
       + c_4_15·b_1_2·a_7_29 + a_2_5·b_4_14·c_4_15·b_1_22 + a_2_5·b_2_4·c_8_60
       + a_2_5·b_2_4·b_4_13·c_4_15 + a_2_5·b_2_43·c_4_15 + c_8_60·a_1_1·a_3_9
       + c_4_15·a_1_12·b_1_26 + b_4_13·c_4_15·a_1_12·b_1_22 + a_2_52·b_4_14·c_4_15
       + c_4_15·a_6_19·a_1_12 + b_4_13·c_4_15·a_1_13·b_1_2 + b_2_42·c_4_152
       + a_2_5·b_2_4·c_4_152
  129. b_6_322 + b_2_4·b_1_210 + b_2_42·b_1_28 + b_2_42·b_8_58
       + b_2_42·b_4_14·b_1_24 + b_2_42·b_4_13·b_1_24 + b_2_43·b_6_32 + b_2_44·b_4_14
       + b_5_23·a_7_31 + a_6_19·b_6_32 + a_2_5·b_1_23·b_7_44 + a_2_5·b_1_210
       + a_2_5·b_6_32·b_1_24 + a_2_5·b_4_14·b_1_26 + a_2_5·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_4·b_1_28 + a_2_5·b_2_4·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_14·b_1_24
       + a_2_5·b_2_4·b_4_13·b_1_24 + a_2_5·b_2_42·b_1_2·b_5_23 + a_2_5·b_2_42·b_1_26
       + a_2_5·b_2_42·b_4_13·b_1_22 + a_2_5·b_2_43·b_1_2·b_3_7 + a_2_5·b_2_43·b_1_24
       + a_2_5·b_2_43·b_4_14 + a_2_5·b_2_43·b_4_13 + a_2_5·b_2_45 + a_5_16·a_7_31
       + a_5_14·a_7_31 + a_6_19·a_1_1·b_1_25 + b_4_13·a_6_19·a_1_1·b_1_2
       + a_2_52·b_2_4·b_6_32 + a_2_52·b_2_44 + a_6_19·a_1_12·b_1_24
       + b_2_4·c_4_15·b_1_26 + b_2_42·c_8_60 + b_2_42·c_4_15·b_1_24
       + b_2_42·b_4_14·c_4_15 + b_2_42·b_4_13·c_4_15 + b_2_43·c_4_15·b_1_22
       + c_4_15·b_1_2·a_7_31 + a_2_5·c_4_15·b_1_26 + a_2_5·b_2_4·c_8_60
       + a_2_5·b_2_4·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_43·c_4_15 + c_8_60·a_1_1·a_3_9
       + c_4_15·a_6_19·a_1_1·b_1_2 + a_2_5·c_4_15·a_6_19 + a_2_52·b_2_42·c_4_15
       + b_2_42·c_4_152 + a_2_5·b_2_4·c_4_152 + c_4_152·a_1_12·b_1_22
       + a_2_52·c_4_152 + c_4_152·a_1_13·b_1_2
  130. b_5_23·a_7_31 + a_6_19·b_6_32 + a_2_5·b_1_23·b_7_44 + a_2_5·b_1_210
       + a_2_5·b_6_32·b_1_24 + a_2_5·b_4_14·b_1_26 + a_2_5·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_4·b_8_58 + a_2_5·b_2_4·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_14·b_1_24
       + a_2_5·b_2_42·b_1_2·b_5_23 + a_2_5·b_2_42·b_1_26 + a_2_5·b_2_42·b_6_32
       + a_2_5·b_2_43·b_4_14 + a_5_14·a_7_31 + a_6_19·b_1_2·a_5_14 + a_6_19·a_1_1·b_1_25
       + b_4_13·a_1_12·b_1_26 + a_2_52·b_2_4·b_6_32 + a_2_52·b_2_42·b_4_14
       + a_2_52·b_2_44 + a_6_19·a_1_12·b_1_24 + b_4_13·a_6_19·a_1_12
       + c_4_15·b_1_2·a_7_31 + a_2_5·c_4_15·b_1_26 + a_2_5·b_2_4·c_8_60
       + a_2_5·b_2_4·b_4_14·c_4_15 + a_2_5·b_2_4·b_4_13·c_4_15 + c_4_15·a_1_12·b_1_26
       + a_2_5·c_4_15·a_6_19 + a_2_52·b_4_14·c_4_15 + a_2_52·b_2_42·c_4_15
       + c_4_15·a_6_19·a_1_12 + b_4_13·c_4_15·a_1_13·b_1_2 + a_2_5·b_2_4·c_4_152
  131. a_5_16·a_7_31 + a_5_14·a_7_31 + a_2_52·b_8_58 + a_2_52·b_2_4·b_6_32
       + b_4_13·a_6_19·a_1_12 + a_2_52·b_4_14·c_4_15 + c_4_15·a_6_19·a_1_12
  132. a_3_9·b_9_78 + b_4_13·a_1_12·b_1_26 + b_4_13·a_6_19·a_1_1·b_1_2
       + b_4_13·a_6_19·a_1_12 + c_8_60·b_1_2·a_3_9 + c_4_15·a_6_19·a_1_1·b_1_2
       + b_4_13·c_4_15·a_1_12·b_1_22 + c_4_15·a_6_19·a_1_12
       + b_4_13·c_4_15·a_1_13·b_1_2 + c_4_152·a_1_12·b_1_22
  133. a_3_8·b_9_78 + a_2_5·b_4_13·b_6_32 + a_2_5·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_4·b_1_28 + a_2_5·b_2_4·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_13·b_1_24
       + a_2_5·b_2_4·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_26 + a_2_5·b_2_43·b_1_24
       + a_2_5·b_2_43·b_4_13 + a_2_5·b_2_44·b_1_22 + a_5_16·a_7_31 + a_5_14·a_7_31
       + a_2_52·b_2_42·b_4_14 + b_4_13·a_6_19·a_1_12 + c_8_60·b_1_2·a_3_8
       + a_2_5·b_4_14·c_4_15·b_1_22 + a_2_5·b_2_4·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_4·c_4_15·b_1_24 + a_2_5·b_2_4·b_4_13·c_4_15
       + a_2_5·b_2_42·c_4_15·b_1_22 + a_2_52·b_4_14·c_4_15 + a_2_52·b_2_42·c_4_15
       + c_4_15·a_6_19·a_1_12 + b_4_13·c_4_15·a_1_13·b_1_2
  134. b_3_7·b_9_78 + b_4_13·b_6_32·b_1_22 + b_4_13·b_4_14·b_1_24 + b_2_4·b_1_210
       + b_2_4·b_6_32·b_1_24 + b_2_4·b_4_13·b_1_26 + b_2_4·b_4_13·b_4_14·b_1_22
       + b_2_42·b_1_28 + b_2_43·b_1_26 + b_2_43·b_4_13·b_1_22 + b_2_44·b_1_24
       + b_4_13·b_1_23·a_5_14 + a_2_5·b_1_210 + a_2_5·b_4_13·b_1_26
       + a_2_5·b_4_13·b_4_14·b_1_22 + a_2_5·b_2_4·b_4_14·b_1_24
       + a_2_5·b_2_4·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_2·b_5_23 + a_2_5·b_2_42·b_1_26
       + a_2_5·b_2_42·b_4_13·b_1_22 + a_2_5·b_2_43·b_1_24 + a_6_19·a_1_1·b_1_25
       + b_4_13·a_1_12·b_1_26 + b_4_13·a_6_19·a_1_1·b_1_2 + a_6_19·a_1_12·b_1_24
       + b_4_13·a_6_19·a_1_12 + c_8_60·b_1_2·b_3_7 + b_4_14·c_4_15·b_1_24
       + b_2_4·c_4_15·b_1_26 + b_2_4·b_4_14·c_4_15·b_1_22 + b_2_4·b_4_13·c_4_15·b_1_22
       + b_2_42·c_4_15·b_1_2·b_3_7 + b_4_13·c_4_15·a_1_1·b_1_23
       + a_2_5·c_4_15·b_1_2·b_5_23 + a_2_5·b_2_4·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_4·c_4_15·b_1_24 + a_2_5·b_2_4·b_4_13·c_4_15 + c_4_15·a_1_12·b_1_26
       + a_2_52·b_4_14·c_4_15 + b_4_13·c_4_15·a_1_13·b_1_2 + a_2_5·c_4_152·b_1_22
  135. b_4_13·b_8_58 + b_4_13·b_4_14·b_1_24 + b_2_4·b_1_2·b_9_78 + b_2_4·b_1_210
       + b_2_4·b_4_13·b_6_32 + b_2_4·b_4_13·b_4_14·b_1_22 + b_2_42·b_1_2·b_7_44
       + b_2_42·b_4_14·b_1_24 + b_2_42·b_4_13·b_1_24 + b_2_42·b_4_13·b_4_14
       + b_2_43·b_1_2·b_5_23 + b_2_43·b_1_26 + b_2_43·b_4_14·b_1_22
       + b_2_44·b_1_2·b_3_7 + b_2_45·b_1_22 + b_5_23·a_7_31 + b_5_23·a_7_29 + a_6_19·b_6_32
       + b_4_13·a_6_19·b_1_22 + a_2_5·b_1_23·b_7_44 + a_2_5·b_1_210
       + a_2_5·b_6_32·b_1_24 + a_2_5·b_4_13·b_1_26 + a_2_5·b_4_13·b_6_32
       + a_2_5·b_2_4·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_14·b_1_24
       + a_2_5·b_2_4·b_4_13·b_1_24 + a_2_5·b_2_42·b_1_2·b_5_23
       + a_2_5·b_2_42·b_4_14·b_1_22 + a_2_5·b_2_42·b_4_13·b_1_22
       + a_2_5·b_2_43·b_1_2·b_3_7 + a_2_5·b_2_43·b_4_14 + a_2_5·b_2_43·b_4_13
       + a_5_14·a_7_29 + a_6_192 + b_4_13·a_1_12·b_1_26 + b_4_13·a_6_19·a_1_1·b_1_2
       + c_4_15·b_1_28 + b_2_4·c_8_60·b_1_22 + b_2_4·c_4_15·b_1_26
       + b_2_4·b_4_14·c_4_15·b_1_22 + b_2_4·b_4_13·c_4_15·b_1_22
       + b_2_43·c_4_15·b_1_22 + c_4_15·b_1_2·a_7_31 + c_4_15·b_1_2·a_7_29
       + c_4_15·a_1_1·b_1_27 + c_4_15·a_6_19·b_1_22 + a_2_5·b_4_14·c_4_15·b_1_22
       + a_2_5·b_4_13·c_4_15·b_1_22 + a_2_5·b_2_4·c_8_60 + a_2_5·b_2_4·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_4·c_4_15·b_1_24 + a_2_5·b_2_42·c_4_15·b_1_22 + c_8_60·a_1_1·a_3_9
       + b_4_13·c_4_15·a_1_12·b_1_22 + a_2_5·c_4_15·a_6_19 + a_2_52·b_4_14·c_4_15
       + c_4_152·b_1_24 + a_2_5·c_4_152·b_1_22 + a_2_5·b_2_4·c_4_152
       + a_2_52·c_4_152 + c_4_152·a_1_13·b_1_2
  136. b_5_23·a_7_31 + a_2_5·b_1_2·b_9_78 + a_2_5·b_1_23·b_7_44 + a_2_5·b_6_32·b_1_24
       + a_2_5·b_4_13·b_1_26 + a_2_5·b_4_13·b_4_14·b_1_22 + a_2_5·b_2_4·b_4_13·b_1_24
       + a_2_5·b_2_4·b_4_13·b_4_14 + a_2_5·b_2_42·b_1_2·b_5_23 + a_2_5·b_2_42·b_1_26
       + a_2_5·b_2_42·b_4_14·b_1_22 + a_2_5·b_2_43·b_1_24 + a_5_16·a_7_31
       + b_4_13·a_1_12·b_1_26 + b_4_13·a_6_19·a_1_1·b_1_2 + a_2_52·b_2_42·b_4_14
       + a_6_19·a_1_12·b_1_24 + c_4_15·b_1_2·a_7_31 + a_2_5·c_8_60·b_1_22
       + a_2_5·c_4_15·b_1_2·b_5_23 + a_2_5·c_4_15·b_1_26 + a_2_5·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_4·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_24
       + a_2_5·b_2_42·c_4_15·b_1_22 + c_4_15·a_1_12·b_1_26 + c_4_15·a_6_19·a_1_1·b_1_2
       + c_4_15·a_6_19·a_1_12 + b_4_13·c_4_15·a_1_13·b_1_2 + a_2_5·c_4_152·b_1_22
  137. a_6_19·a_7_31 + b_4_13·a_1_12·b_1_27 + c_8_60·a_1_1·b_1_2·a_3_9
       + c_4_15·a_1_12·b_1_27 + c_8_60·a_1_12·a_3_9 + c_4_15·a_6_19·a_1_12·b_1_2
  138. a_6_19·a_7_29 + a_6_192·b_1_2 + a_2_5·b_2_42·a_7_29 + a_2_5·b_2_44·a_3_8
       + c_4_15·a_6_19·a_3_9 + a_2_5·c_8_60·a_3_8 + c_4_15·a_6_19·a_1_12·b_1_2
       + a_2_5·c_4_152·a_3_8
  139. b_1_28·a_5_14 + a_6_19·b_7_44 + a_6_19·b_1_27 + b_4_13·a_1_1·b_1_28
       + a_2_5·b_1_24·b_7_44 + a_2_5·b_1_211 + a_2_5·b_4_14·b_1_27
       + a_2_5·b_4_13·b_1_27 + a_2_5·b_2_4·b_6_32·b_1_23 + a_2_5·b_2_4·b_4_14·b_1_25
       + a_2_5·b_2_4·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_42·b_6_32·b_1_2
       + a_2_5·b_2_42·b_4_14·b_1_23 + a_2_5·b_2_42·b_4_13·b_3_7
       + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_4_14·b_1_2 + a_2_5·b_2_44·b_3_7
       + a_6_19·a_7_29 + a_6_19·a_1_1·b_1_26 + b_4_13·a_1_12·b_1_27
       + b_4_13·a_6_19·a_1_1·b_1_22 + a_6_192·a_1_1 + b_4_13·a_6_19·a_1_12·b_1_2
       + a_2_5·c_8_60·b_3_7 + a_2_5·b_4_14·c_4_15·b_1_23 + c_8_60·a_1_12·b_1_23
       + c_4_15·a_6_19·a_3_9 + a_2_5·c_4_15·a_7_29 + a_2_5·b_2_42·c_4_15·a_3_8
       + c_4_15·a_6_19·a_1_12·b_1_2 + a_2_5·c_4_152·b_3_7
  140. b_6_32·b_7_44 + b_4_14·b_1_22·b_7_44 + b_4_13·b_6_32·b_1_23
       + b_4_13·b_4_14·b_1_25 + b_2_42·b_1_22·b_7_44 + b_2_42·b_6_32·b_1_23
       + b_2_42·b_4_13·b_1_25 + b_2_42·b_4_13·b_4_14·b_1_2 + b_2_43·b_1_27
       + b_2_43·b_6_32·b_1_2 + b_2_43·b_4_14·b_1_23 + b_2_43·b_4_13·b_1_23
       + b_2_44·b_4_14·b_1_2 + b_2_45·b_3_7 + b_1_28·a_5_14 + b_6_32·a_7_31 + b_6_32·a_7_29
       + a_6_19·b_1_27 + b_4_13·b_1_24·a_5_14 + b_4_13·a_1_1·b_1_28 + b_2_4·b_6_32·a_5_14
       + b_2_44·a_5_16 + b_2_45·a_3_8 + a_2_5·b_4_14·b_7_44 + a_2_5·b_4_13·b_7_44
       + a_2_5·b_4_13·b_1_27 + a_2_5·b_4_13·b_6_32·b_1_2 + a_2_5·b_2_4·b_1_29
       + a_2_5·b_2_4·b_4_14·b_1_25 + a_2_5·b_2_42·b_7_44 + a_2_5·b_2_42·b_6_32·b_1_2
       + a_2_5·b_2_42·b_4_14·b_1_23 + a_2_5·b_2_42·b_4_13·b_1_23
       + a_2_5·b_2_43·b_4_14·b_1_2 + a_2_5·b_2_45·b_1_2 + a_6_19·a_7_29 + a_6_192·b_1_2
       + b_4_13·a_1_12·b_1_27 + a_2_5·b_2_42·a_7_29 + a_6_192·a_1_1
       + b_4_13·a_6_19·a_1_12·b_1_2 + b_4_14·c_4_15·b_1_25 + b_2_4·c_8_60·b_3_7
       + b_2_4·c_4_15·b_1_27 + b_2_42·c_4_15·b_1_25 + b_2_42·b_4_14·c_4_15·b_1_2
       + b_2_43·c_4_15·b_3_7 + b_2_43·c_4_15·b_1_23 + b_4_13·c_4_15·a_1_1·b_1_24
       + b_2_4·c_4_15·a_7_29 + b_2_42·c_8_60·a_1_0 + b_2_42·c_4_15·a_5_16
       + a_2_5·c_4_15·b_7_44 + a_2_5·c_4_15·b_1_27 + a_2_5·b_2_4·c_4_15·b_5_23
       + c_8_60·a_1_1·b_1_2·a_3_9 + c_8_60·a_1_12·b_1_23 + c_4_15·a_6_19·a_3_9
       + c_4_15·a_6_19·a_1_1·b_1_22 + b_4_13·c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_7_29
       + c_4_15·a_1_12·a_7_31 + b_2_4·c_4_152·b_3_7 + c_4_152·a_1_1·b_1_2·a_3_9
       + a_2_5·c_4_152·a_3_8
  141. b_6_32·b_7_44 + b_4_14·b_1_22·b_7_44 + b_4_13·b_6_32·b_1_23
       + b_4_13·b_4_14·b_1_25 + b_2_42·b_1_22·b_7_44 + b_2_42·b_6_32·b_1_23
       + b_2_42·b_4_13·b_1_25 + b_2_42·b_4_13·b_4_14·b_1_2 + b_2_43·b_1_27
       + b_2_43·b_6_32·b_1_2 + b_2_43·b_4_14·b_1_23 + b_2_43·b_4_13·b_1_23
       + b_2_44·b_4_14·b_1_2 + b_2_45·b_3_7 + b_1_28·a_5_14 + a_6_19·b_1_27
       + b_4_13·b_1_24·a_5_14 + b_4_13·a_1_1·b_1_28 + b_2_4·b_6_32·a_5_14 + b_2_43·a_7_29
       + b_2_44·a_5_16 + a_2_5·b_1_211 + a_2_5·b_4_14·b_7_44 + a_2_5·b_4_14·b_1_27
       + a_2_5·b_4_13·b_7_44 + a_2_5·b_4_13·b_1_27 + a_2_5·b_4_13·b_6_32·b_1_2
       + a_2_5·b_2_4·b_1_22·b_7_44 + a_2_5·b_2_4·b_6_32·b_1_23
       + a_2_5·b_2_4·b_4_13·b_1_25 + a_2_5·b_2_42·b_4_14·b_1_23
       + a_2_5·b_2_42·b_4_13·b_3_7 + a_2_5·b_2_42·b_4_13·b_1_23
       + a_2_5·b_2_43·b_4_14·b_1_2 + a_2_5·b_2_43·b_4_13·b_1_2 + a_2_5·b_2_44·b_1_23
       + a_2_5·b_2_45·b_1_2 + a_6_19·a_1_1·b_1_26 + a_6_192·b_1_2
       + b_4_13·a_1_12·b_1_27 + b_4_13·a_6_19·a_1_1·b_1_22
       + b_4_13·a_6_19·a_1_12·b_1_2 + b_4_14·c_4_15·b_1_25 + b_2_4·c_8_60·b_3_7
       + b_2_4·c_4_15·b_1_27 + b_2_42·c_4_15·b_1_25 + b_2_42·b_4_14·c_4_15·b_1_2
       + b_2_43·c_4_15·b_3_7 + b_2_43·c_4_15·b_1_23 + b_4_13·c_4_15·a_1_1·b_1_24
       + b_2_4·c_8_60·a_3_8 + b_2_4·c_4_15·a_7_29 + b_2_42·c_4_15·a_5_16
       + b_2_44·c_4_15·a_1_0 + a_2_5·c_4_15·b_7_44 + a_2_5·c_4_15·b_6_32·b_1_2
       + a_2_5·b_4_14·c_4_15·b_1_23 + a_2_5·b_2_4·c_8_60·b_1_2 + a_2_5·b_2_4·c_4_15·b_5_23
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_42·c_4_15·b_1_23
       + a_2_5·b_2_43·c_4_15·b_1_2 + c_8_60·a_1_12·b_1_23 + c_4_15·a_1_12·b_1_27
       + b_4_13·c_4_15·a_1_12·b_1_23 + a_2_5·b_2_42·c_4_15·a_3_8
       + c_4_15·a_6_19·a_1_12·b_1_2 + b_2_4·c_4_152·b_3_7 + b_2_4·c_4_152·a_3_8
       + b_2_42·c_4_152·a_1_0 + a_2_5·b_2_4·c_4_152·b_1_2 + a_2_5·c_4_152·a_3_8
       + c_4_152·a_1_12·a_3_9
  142. b_8_58·a_5_14 + b_6_32·a_7_29 + b_4_13·b_1_24·a_5_14 + b_2_4·b_6_32·a_5_14
       + b_2_43·a_7_29 + b_2_45·a_3_8 + a_2_5·b_1_24·b_7_44 + a_2_5·b_4_13·b_1_27
       + a_2_5·b_2_4·b_1_29 + a_2_5·b_2_4·b_6_32·b_1_23 + a_2_5·b_2_4·b_4_14·b_1_25
       + a_2_5·b_2_4·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_42·b_7_44
       + a_2_5·b_2_42·b_4_14·b_1_23 + a_2_5·b_2_42·b_4_13·b_3_7
       + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_5_23 + a_2_5·b_2_43·b_1_25
       + a_2_5·b_2_43·b_4_14·b_1_2 + a_2_5·b_2_44·b_1_23 + a_6_19·a_7_29 + a_6_192·b_1_2
       + b_4_13·a_6_19·a_1_1·b_1_22 + a_2_5·b_2_42·a_7_29 + b_4_13·c_4_15·a_5_14
       + b_2_4·c_8_60·a_3_8 + b_2_42·c_4_15·a_5_16 + b_2_42·c_4_15·a_5_14
       + b_2_43·c_4_15·a_3_8 + b_2_44·c_4_15·a_1_0 + a_2_5·c_4_15·b_6_32·b_1_2
       + a_2_5·b_2_4·c_4_15·b_5_23 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_42·c_4_15·b_1_23 + c_8_60·a_1_1·b_1_2·a_3_9
       + b_4_13·c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_7_29 + c_4_15·a_6_19·a_1_12·b_1_2
       + b_2_4·c_4_152·a_3_8 + a_2_5·b_2_4·c_4_152·b_1_2 + c_4_152·a_1_1·b_1_2·a_3_9
       + c_4_152·a_1_12·a_3_9
  143. b_6_32·b_7_44 + b_4_14·b_1_22·b_7_44 + b_4_13·b_6_32·b_1_23
       + b_4_13·b_4_14·b_1_25 + b_2_42·b_1_22·b_7_44 + b_2_42·b_6_32·b_1_23
       + b_2_42·b_4_13·b_1_25 + b_2_42·b_4_13·b_4_14·b_1_2 + b_2_43·b_1_27
       + b_2_43·b_6_32·b_1_2 + b_2_43·b_4_14·b_1_23 + b_2_43·b_4_13·b_1_23
       + b_2_44·b_4_14·b_1_2 + b_2_45·b_3_7 + b_1_28·a_5_14 + b_8_58·a_5_16 + b_6_32·a_7_31
       + a_6_19·b_1_27 + b_4_13·a_1_1·b_1_28 + b_2_44·a_5_16 + b_2_45·a_3_8
       + a_2_5·b_1_24·b_7_44 + a_2_5·b_4_14·b_7_44 + a_2_5·b_4_13·b_7_44
       + a_2_5·b_4_13·b_6_32·b_1_2 + a_2_5·b_2_4·b_6_32·b_1_23 + a_2_5·b_2_42·b_1_27
       + a_2_5·b_2_42·b_4_14·b_1_23 + a_2_5·b_2_42·b_4_13·b_3_7
       + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_5_23 + a_2_5·b_2_43·b_1_25
       + a_2_5·b_2_44·b_3_7 + a_2_5·b_2_44·b_1_23 + a_2_5·b_2_45·b_1_2 + a_6_19·a_7_29
       + a_6_192·b_1_2 + b_4_13·a_6_19·a_1_1·b_1_22 + a_2_5·b_2_42·a_7_29
       + a_2_5·b_2_44·a_3_8 + b_4_14·c_4_15·b_1_25 + b_2_4·c_8_60·b_3_7
       + b_2_4·c_4_15·b_1_27 + b_2_42·c_4_15·b_1_25 + b_2_42·b_4_14·c_4_15·b_1_2
       + b_2_43·c_4_15·b_3_7 + b_2_43·c_4_15·b_1_23 + b_4_13·c_4_15·a_5_14
       + b_4_13·c_4_15·a_1_1·b_1_24 + b_2_4·c_8_60·a_3_8 + b_2_4·c_4_15·a_7_29
       + b_2_42·c_4_15·a_5_14 + b_2_43·c_4_15·a_3_8 + a_2_5·c_4_15·b_7_44
       + a_2_5·c_4_15·b_1_27 + a_2_5·c_4_15·b_6_32·b_1_2 + a_2_5·b_2_4·c_4_15·b_5_23
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_42·c_4_15·b_3_7 + a_2_5·b_2_42·c_4_15·b_1_23
       + c_8_60·a_1_12·b_1_23 + c_4_15·a_1_12·b_1_27 + c_4_15·a_6_19·a_1_1·b_1_22
       + b_4_13·c_4_15·a_1_12·b_1_23 + a_2_5·c_4_15·a_7_29 + c_4_15·a_6_19·a_1_12·b_1_2
       + b_2_4·c_4_152·b_3_7 + b_2_4·c_4_152·a_3_8 + b_2_42·c_4_152·a_1_0
       + c_4_152·a_1_12·b_1_23 + a_2_5·c_4_152·a_3_8
  144. b_4_14·b_9_78 + b_4_13·b_6_32·b_1_23 + b_4_13·b_4_14·b_1_25 + b_2_4·b_1_211
       + b_2_4·b_4_14·b_7_44 + b_2_4·b_4_13·b_7_44 + b_2_4·b_4_13·b_1_27
       + b_2_4·b_4_13·b_6_32·b_1_2 + b_2_42·b_1_29 + b_2_42·b_4_14·b_1_25
       + b_2_42·b_4_13·b_1_25 + b_2_43·b_4_13·b_1_23 + b_2_44·b_1_25 + b_2_45·b_3_7
       + b_6_32·a_7_29 + b_4_13·b_1_24·a_5_14 + b_2_43·a_7_29 + b_2_44·a_5_16
       + a_2_5·b_1_24·b_7_44 + a_2_5·b_4_14·b_7_44 + a_2_5·b_4_13·b_7_44
       + a_2_5·b_4_13·b_6_32·b_1_2 + a_2_5·b_4_13·b_4_14·b_1_23
       + a_2_5·b_2_4·b_1_22·b_7_44 + a_2_5·b_2_4·b_6_32·b_1_23
       + a_2_5·b_2_4·b_4_14·b_1_25 + a_2_5·b_2_42·b_7_44 + a_2_5·b_2_42·b_6_32·b_1_2
       + a_2_5·b_2_42·b_4_13·b_3_7 + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_5_23
       + a_2_5·b_2_43·b_4_14·b_1_2 + a_2_5·b_2_45·b_1_2 + a_6_19·a_7_29
       + b_4_13·a_1_12·b_1_27 + b_4_13·a_6_19·a_1_1·b_1_22 + a_2_5·b_2_42·a_7_29
       + a_2_5·b_2_44·a_3_8 + a_6_192·a_1_1 + b_4_14·c_8_60·b_1_2 + b_4_14·c_4_15·b_1_25
       + b_2_4·c_4_15·b_1_27 + b_2_4·b_4_13·c_4_15·b_3_7 + b_2_4·b_4_13·c_4_15·b_1_23
       + b_2_42·c_4_15·b_1_25 + b_2_42·b_4_14·c_4_15·b_1_2 + b_2_42·b_4_13·c_4_15·b_1_2
       + b_2_43·c_4_15·b_3_7 + b_4_13·c_4_15·a_1_1·b_1_24 + b_2_4·c_8_60·a_3_8
       + b_2_42·c_4_15·a_5_14 + b_2_44·c_4_15·a_1_0 + a_2_5·c_4_15·b_7_44
       + a_2_5·c_4_15·b_6_32·b_1_2 + a_2_5·b_2_4·c_4_15·b_5_23
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_42·c_4_15·b_3_7 + a_2_5·b_2_42·c_4_15·b_1_23
       + a_2_5·b_2_43·c_4_15·b_1_2 + c_4_15·a_1_12·b_1_27 + c_4_15·a_6_19·a_1_1·b_1_22
       + b_4_13·c_4_15·a_1_12·b_1_23 + a_2_5·b_2_42·c_4_15·a_3_8 + c_4_15·a_1_12·a_7_31
       + b_2_4·c_4_152·a_3_8 + a_2_5·c_4_152·b_3_7 + a_2_5·b_2_4·c_4_152·b_1_2
       + c_4_152·a_1_1·b_1_2·a_3_9 + a_2_5·c_4_152·a_3_8 + c_4_152·a_1_12·a_3_9
  145. b_8_58·b_5_23 + b_6_32·b_7_44 + b_4_14·b_1_22·b_7_44 + b_4_13·b_6_32·b_1_23
       + b_2_4·b_1_211 + b_2_4·b_4_14·b_7_44 + b_2_4·b_4_14·b_1_27 + b_2_4·b_4_13·b_1_27
       + b_2_4·b_4_13·b_6_32·b_1_2 + b_2_42·b_9_78 + b_2_42·b_4_13·b_1_25
       + b_2_42·b_4_13·b_4_14·b_1_2 + b_2_43·b_6_32·b_1_2 + b_2_43·b_4_13·b_1_23
       + b_2_44·b_5_23 + b_2_44·b_1_25 + b_2_45·b_3_7 + b_2_45·b_1_23 + b_1_28·a_5_14
       + b_6_32·a_7_31 + a_6_19·b_1_27 + b_4_13·a_1_1·b_1_28 + b_2_43·a_7_29
       + b_2_45·a_3_8 + a_2_5·b_1_211 + a_2_5·b_4_14·b_1_27 + a_2_5·b_4_13·b_7_44
       + a_2_5·b_2_4·b_4_14·b_1_25 + a_2_5·b_2_4·b_4_13·b_4_14·b_1_2
       + a_2_5·b_2_42·b_7_44 + a_2_5·b_2_42·b_6_32·b_1_2 + a_2_5·b_2_42·b_4_14·b_1_23
       + a_2_5·b_2_42·b_4_13·b_3_7 + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_5_23
       + a_2_5·b_2_43·b_1_25 + a_2_5·b_2_43·b_4_14·b_1_2 + a_2_5·b_2_44·b_3_7
       + a_2_5·b_2_45·b_1_2 + a_6_19·a_1_1·b_1_26 + b_4_13·a_1_12·b_1_27
       + b_4_13·a_6_19·a_1_1·b_1_22 + a_2_5·b_2_42·a_7_29 + a_2_5·b_2_44·a_3_8
       + a_6_192·a_1_1 + c_4_15·b_8_58·b_1_2 + b_4_13·b_4_14·c_4_15·b_1_2
       + b_2_4·c_8_60·b_3_7 + b_2_4·b_4_13·c_4_15·b_3_7 + b_2_42·c_8_60·b_1_2
       + b_2_42·c_4_15·b_5_23 + b_2_42·c_4_15·b_1_25 + b_2_42·b_4_14·c_4_15·b_1_2
       + b_2_42·b_4_13·c_4_15·b_1_2 + b_2_43·c_4_15·b_3_7 + b_2_43·c_4_15·b_1_23
       + b_2_44·c_4_15·b_1_2 + b_4_13·c_4_15·a_5_14 + b_4_13·c_4_15·a_1_1·b_1_24
       + b_2_4·c_8_60·a_3_8 + b_2_4·c_4_15·a_7_29 + b_2_42·c_4_15·a_5_16
       + b_2_43·c_4_15·a_3_8 + b_2_44·c_4_15·a_1_0 + a_2_5·c_4_15·b_6_32·b_1_2
       + a_2_5·b_4_14·c_4_15·b_1_23 + a_2_5·b_4_13·c_4_15·b_3_7
       + a_2_5·b_4_13·c_4_15·b_1_23 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_2
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_2 + a_2_5·b_2_42·c_4_15·b_3_7
       + a_2_5·b_2_42·c_4_15·b_1_23 + a_2_5·b_2_43·c_4_15·b_1_2
       + c_8_60·a_1_12·b_1_23 + c_4_15·a_6_19·a_3_9 + a_2_5·c_4_15·a_7_29
       + a_2_5·b_2_42·c_4_15·a_3_8 + c_4_15·a_1_12·a_7_31 + c_4_15·a_6_19·a_1_12·b_1_2
       + c_4_152·b_1_22·b_3_7 + b_2_4·c_4_152·b_3_7 + b_2_42·c_4_152·b_1_2
       + b_2_4·c_4_152·a_3_8 + a_2_5·c_4_152·b_3_7 + a_2_5·c_4_152·b_1_23
       + a_2_5·b_2_4·c_4_152·b_1_2 + c_4_152·a_1_12·b_1_23
  146. b_6_32·b_7_44 + b_4_14·b_1_22·b_7_44 + b_4_13·b_6_32·b_1_23
       + b_4_13·b_4_14·b_1_25 + b_2_42·b_1_22·b_7_44 + b_2_42·b_6_32·b_1_23
       + b_2_42·b_4_13·b_1_25 + b_2_42·b_4_13·b_4_14·b_1_2 + b_2_43·b_1_27
       + b_2_43·b_6_32·b_1_2 + b_2_43·b_4_14·b_1_23 + b_2_43·b_4_13·b_1_23
       + b_2_44·b_4_14·b_1_2 + b_2_45·b_3_7 + b_1_28·a_5_14 + b_6_32·a_7_29 + a_6_19·b_1_27
       + b_4_13·b_1_24·a_5_14 + b_4_13·a_1_1·b_1_28 + b_2_4·b_6_32·a_5_14 + b_2_44·a_5_16
       + b_2_45·a_3_8 + a_2_5·b_1_24·b_7_44 + a_2_5·b_4_13·b_7_44
       + a_2_5·b_4_13·b_6_32·b_1_2 + a_2_5·b_4_13·b_4_14·b_1_23 + a_2_5·b_2_4·b_9_78
       + a_2_5·b_2_4·b_1_29 + a_2_5·b_2_4·b_6_32·b_1_23 + a_2_5·b_2_4·b_4_13·b_1_25
       + a_2_5·b_2_42·b_4_14·b_1_23 + a_2_5·b_2_42·b_4_13·b_3_7
       + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_5_23 + a_2_5·b_2_43·b_4_14·b_1_2
       + a_2_5·b_2_44·b_3_7 + a_2_5·b_2_44·b_1_23 + b_4_13·a_1_12·b_1_27
       + b_4_13·a_6_19·a_1_1·b_1_22 + b_4_13·a_6_19·a_1_12·b_1_2 + b_4_14·c_4_15·b_1_25
       + b_2_4·c_8_60·b_3_7 + b_2_4·c_4_15·b_1_27 + b_2_42·c_4_15·b_1_25
       + b_2_42·b_4_14·c_4_15·b_1_2 + b_2_43·c_4_15·b_3_7 + b_2_43·c_4_15·b_1_23
       + b_4_13·c_4_15·a_1_1·b_1_24 + b_2_4·c_4_15·a_7_29 + b_2_42·c_4_15·a_5_14
       + b_2_43·c_4_15·a_3_8 + a_2_5·c_4_15·b_7_44 + a_2_5·b_2_43·c_4_15·b_1_2
       + c_8_60·a_1_12·b_1_23 + c_4_15·a_1_12·b_1_27 + c_4_15·a_6_19·a_3_9
       + c_4_15·a_6_19·a_1_1·b_1_22 + c_4_15·a_1_12·a_7_31 + c_4_15·a_6_19·a_1_12·b_1_2
       + b_2_4·c_4_152·b_3_7 + b_2_42·c_4_152·a_1_0 + c_4_152·a_1_1·b_1_2·a_3_9
       + a_2_5·c_4_152·a_3_8
  147. b_4_13·b_9_78 + b_4_13·b_4_14·b_1_25 + b_2_4·b_1_24·b_7_44 + b_2_4·b_4_14·b_7_44
       + b_2_4·b_4_14·b_1_27 + b_2_4·b_4_13·b_7_44 + b_2_4·b_4_13·b_1_27
       + b_2_42·b_1_22·b_7_44 + b_2_42·b_6_32·b_1_23 + b_2_42·b_4_13·b_1_25
       + b_2_42·b_4_13·b_4_14·b_1_2 + b_2_43·b_4_14·b_1_23 + b_2_43·b_4_13·b_1_23
       + b_2_44·b_4_13·b_1_2 + b_2_45·b_3_7 + b_4_13·b_1_24·a_5_14 + b_2_44·a_5_16
       + b_2_45·a_3_8 + a_2_5·b_1_24·b_7_44 + a_2_5·b_4_14·b_7_44 + a_2_5·b_4_13·b_1_27
       + a_2_5·b_4_13·b_6_32·b_1_2 + a_2_5·b_4_13·b_4_14·b_1_23
       + a_2_5·b_2_4·b_1_22·b_7_44 + a_2_5·b_2_4·b_4_13·b_1_25 + a_2_5·b_2_42·b_7_44
       + a_2_5·b_2_42·b_1_27 + a_2_5·b_2_42·b_6_32·b_1_2 + a_2_5·b_2_42·b_4_13·b_3_7
       + a_2_5·b_2_42·b_4_13·b_1_23 + a_2_5·b_2_43·b_1_25 + a_2_5·b_2_43·b_4_14·b_1_2
       + a_2_5·b_2_44·b_3_7 + a_2_5·b_2_44·b_1_23 + a_6_19·a_7_31 + a_6_19·a_7_29
       + a_6_192·b_1_2 + a_2_5·b_2_42·a_7_29 + a_2_5·b_2_44·a_3_8 + a_6_192·a_1_1
       + c_4_15·b_1_22·b_7_44 + b_4_14·c_4_15·b_1_25 + b_4_13·c_8_60·b_1_2
       + b_2_4·c_4_15·b_1_27 + b_2_4·b_4_13·c_4_15·b_3_7 + b_2_42·b_4_14·c_4_15·b_1_2
       + b_2_43·c_4_15·b_3_7 + c_4_15·a_1_1·b_1_28 + c_4_15·a_6_19·b_1_23
       + b_2_42·c_4_15·a_5_16 + b_2_43·c_4_15·a_3_8 + a_2_5·c_4_15·b_7_44
       + a_2_5·b_4_14·c_4_15·b_1_23 + c_8_60·a_1_1·b_1_2·a_3_9 + c_4_15·a_6_19·a_3_9
       + c_4_15·a_6_19·a_1_1·b_1_22 + a_2_5·c_4_15·a_7_29 + a_2_5·b_2_42·c_4_15·a_3_8
       + c_4_15·a_6_19·a_1_12·b_1_2 + c_4_152·b_1_22·b_3_7 + a_2_5·c_4_152·b_3_7
       + c_4_152·a_1_12·b_1_23
  148. a_7_312 + c_4_15·a_6_19·a_1_1·b_1_23 + b_4_13·c_4_15·a_1_12·b_1_24
       + c_4_15·a_6_19·a_1_1·a_3_9 + c_4_15·a_6_19·a_1_12·b_1_22 + c_4_15·c_8_60·a_1_12
       + c_4_152·a_1_12·b_1_2·a_3_9
  149. b_7_442 + b_2_4·b_1_212 + b_2_4·b_4_14·b_1_28 + b_2_42·b_1_23·b_7_44
       + b_2_42·b_4_14·b_1_26 + b_2_43·b_4_13·b_1_24 + b_2_44·b_1_26
       + b_2_45·b_1_24 + b_2_46·b_1_22 + a_7_31·b_7_44 + b_4_13·b_1_25·a_5_14
       + b_4_13·a_6_19·b_1_24 + a_2_5·b_4_14·b_1_2·b_7_44 + a_2_5·b_4_14·b_1_28
       + a_2_5·b_4_13·b_1_28 + a_2_5·b_4_13·b_4_14·b_1_24 + a_2_5·b_2_4·b_1_23·b_7_44
       + a_2_5·b_2_4·b_1_210 + a_2_5·b_2_4·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_42·b_6_32·b_1_22 + a_2_5·b_2_42·b_4_13·b_1_24
       + a_2_5·b_2_42·b_4_13·b_4_14 + a_2_5·b_2_43·b_1_26
       + a_2_5·b_2_43·b_4_14·b_1_22 + a_2_5·b_2_44·b_1_24 + a_2_5·b_2_45·b_1_22
       + a_7_292 + a_6_192·b_1_22 + a_2_52·b_2_42·b_6_32 + a_2_52·b_2_43·b_4_14
       + a_6_192·a_1_1·b_1_2 + b_2_4·c_8_60·b_1_24 + b_2_4·c_4_15·b_1_28
       + b_2_4·b_4_14·c_4_15·b_1_24 + b_2_42·b_4_14·c_4_15·b_1_22
       + b_2_43·c_4_15·b_1_2·b_3_7 + b_2_43·c_4_15·b_1_24 + c_4_15·a_1_1·b_1_29
       + a_2_5·c_8_60·b_1_2·b_3_7 + a_2_5·c_4_15·b_1_28 + a_2_5·b_4_14·c_4_15·b_1_24
       + a_2_5·b_2_4·c_4_15·b_1_26 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_22 + a_2_5·b_2_42·b_4_13·c_4_15
       + c_8_60·a_1_12·b_1_24 + c_4_15·a_1_12·b_1_28 + c_4_15·a_6_19·a_1_1·b_1_23
       + a_2_5·c_8_60·b_1_2·a_3_8 + a_2_5·c_4_15·b_1_2·a_7_29 + a_2_52·b_2_43·c_4_15
       + c_4_15·a_6_19·a_1_12·b_1_22 + b_2_4·c_4_152·b_1_24
       + a_2_5·c_4_152·b_1_2·b_3_7 + c_4_152·a_1_12·b_1_24 + a_2_5·c_4_152·b_1_2·a_3_8
       + a_2_52·b_2_4·c_4_152 + c_4_153·a_1_12
  150. a_7_31·b_7_44 + b_4_13·b_1_25·a_5_14 + b_4_13·a_6_19·b_1_24 + a_2_5·b_4_14·b_1_28
       + a_2_5·b_4_13·b_1_28 + a_2_5·b_4_13·b_6_32·b_1_22 + a_2_5·b_4_13·b_4_14·b_1_24
       + a_2_5·b_2_4·b_1_23·b_7_44 + a_2_5·b_2_4·b_1_210 + a_2_5·b_2_42·b_1_2·b_7_44
       + a_2_5·b_2_42·b_1_28 + a_2_5·b_2_42·b_6_32·b_1_22
       + a_2_5·b_2_42·b_4_13·b_1_24 + a_2_5·b_2_42·b_4_13·b_4_14
       + a_2_5·b_2_43·b_4_13·b_1_22 + a_2_5·b_2_44·b_1_2·b_3_7 + a_2_5·b_2_44·b_1_24
       + a_7_292 + a_6_192·b_1_22 + a_2_52·b_2_42·b_6_32 + a_2_52·b_2_45
       + a_6_192·a_1_1·b_1_2 + c_4_15·a_1_1·b_1_29 + a_2_5·c_8_60·b_1_2·b_3_7
       + a_2_5·c_4_15·b_1_28 + a_2_5·b_2_4·c_4_15·b_1_26
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22 + a_2_5·b_2_42·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_42·c_4_15·b_1_24 + c_4_15·a_1_12·b_1_28
       + c_4_15·a_6_19·a_1_1·b_1_23 + a_2_5·c_8_60·b_1_2·a_3_8 + a_2_5·c_4_15·b_1_2·a_7_29
       + a_2_52·b_2_4·c_8_60 + a_2_52·b_2_4·b_4_14·c_4_15 + a_2_52·b_2_43·c_4_15
       + c_4_15·a_6_19·a_1_12·b_1_22 + a_2_5·c_4_152·b_1_2·b_3_7
       + a_2_5·c_4_152·b_1_2·a_3_8 + a_2_52·b_2_4·c_4_152 + c_4_153·a_1_12
  151. a_7_29·a_7_31 + b_4_13·a_1_12·b_1_28 + a_2_52·b_2_43·b_4_14
       + c_4_15·a_1_12·b_1_28 + b_4_13·c_8_60·a_1_12 + a_2_5·c_8_60·b_1_2·a_3_8
       + c_8_60·a_1_12·b_1_2·a_3_9 + c_4_15·a_6_19·a_1_12·b_1_22 + c_4_152·a_1_1·a_5_14
       + c_4_152·a_1_12·b_1_24 + b_4_13·c_4_152·a_1_12 + a_2_5·c_4_152·b_1_2·a_3_8
  152. a_7_31·b_7_44 + a_7_29·b_7_44 + a_6_19·b_1_2·b_7_44 + b_4_13·b_1_25·a_5_14
       + b_4_13·a_6_19·b_1_24 + a_2_5·b_1_25·b_7_44 + a_2_5·b_4_14·b_1_2·b_7_44
       + a_2_5·b_4_13·b_1_2·b_7_44 + a_2_5·b_4_13·b_1_28 + a_2_5·b_2_42·b_1_2·b_7_44
       + a_2_5·b_2_42·b_1_28 + a_2_5·b_2_42·b_8_58 + a_2_5·b_2_42·b_6_32·b_1_22
       + a_2_5·b_2_42·b_4_13·b_1_24 + a_2_5·b_2_43·b_1_26 + a_2_5·b_2_43·b_6_32
       + a_2_5·b_2_43·b_4_14·b_1_22 + a_2_5·b_2_43·b_4_13·b_1_22
       + a_2_5·b_2_44·b_1_2·b_3_7 + a_2_5·b_2_44·b_1_24 + a_2_5·b_2_44·b_4_13
       + a_2_5·b_2_45·b_1_22 + a_7_292 + a_6_192·b_1_22 + a_2_52·b_2_43·b_4_14
       + a_2_52·b_2_45 + a_6_192·a_1_1·b_1_2 + c_4_15·a_1_1·b_1_29
       + a_2_5·c_4_15·b_1_2·b_7_44 + a_2_5·c_4_15·b_1_28 + a_2_5·b_2_4·c_8_60·b_1_22
       + a_2_5·b_2_4·c_4_15·b_1_26 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_42·b_4_14·c_4_15 + a_2_5·b_2_42·b_4_13·c_4_15 + c_4_15·a_1_12·b_1_28
       + c_4_15·a_6_19·a_1_1·b_1_23 + b_4_13·c_4_15·a_1_12·b_1_24
       + a_2_5·c_4_15·b_1_2·a_7_29 + a_2_52·c_4_15·b_6_32 + a_2_52·b_2_43·c_4_15
       + c_4_15·a_6_19·a_1_12·b_1_22 + a_2_5·b_2_4·c_4_152·b_1_22
       + c_4_152·a_1_12·b_1_24 + c_4_153·a_1_12
  153. a_7_31·b_7_44 + b_4_13·b_1_25·a_5_14 + b_4_13·a_6_19·b_1_24 + a_2_5·b_4_14·b_1_28
       + a_2_5·b_4_13·b_1_28 + a_2_5·b_4_13·b_6_32·b_1_22 + a_2_5·b_4_13·b_4_14·b_1_24
       + a_2_5·b_2_4·b_1_23·b_7_44 + a_2_5·b_2_4·b_1_210 + a_2_5·b_2_42·b_1_2·b_7_44
       + a_2_5·b_2_42·b_1_28 + a_2_5·b_2_42·b_6_32·b_1_22
       + a_2_5·b_2_42·b_4_13·b_1_24 + a_2_5·b_2_42·b_4_13·b_4_14
       + a_2_5·b_2_43·b_4_13·b_1_22 + a_2_5·b_2_44·b_1_2·b_3_7 + a_2_5·b_2_44·b_1_24
       + a_2_52·b_2_4·b_8_58 + a_2_52·b_2_43·b_4_14 + a_6_192·a_1_1·b_1_2
       + c_4_15·a_1_1·b_1_29 + a_2_5·c_8_60·b_1_2·b_3_7 + a_2_5·c_4_15·b_1_28
       + a_2_5·b_2_4·c_4_15·b_1_26 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_42·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_42·c_4_15·b_1_24
       + c_4_15·a_1_12·b_1_28 + c_4_15·a_6_19·a_1_1·b_1_23 + a_2_5·c_8_60·b_1_2·a_3_8
       + a_2_5·c_4_15·b_1_2·a_7_29 + a_2_52·b_2_43·c_4_15 + c_4_15·a_6_19·a_1_12·b_1_22
       + a_2_5·c_4_152·b_1_2·b_3_7 + a_2_5·c_4_152·b_1_2·a_3_8
  154. b_6_32·b_8_58 + b_4_13·b_6_32·b_1_24 + b_2_4·b_1_25·b_7_44 + b_2_4·b_1_212
       + b_2_4·b_4_13·b_1_28 + b_2_4·b_4_13·b_6_32·b_1_22 + b_2_42·b_6_32·b_1_24
       + b_2_42·b_4_13·b_6_32 + b_2_43·b_1_2·b_7_44 + b_2_43·b_6_32·b_1_22
       + b_2_43·b_4_13·b_1_24 + b_2_43·b_4_13·b_4_14 + b_2_44·b_4_14·b_1_22
       + b_2_45·b_4_13 + a_7_31·b_7_44 + b_4_13·b_1_25·a_5_14 + b_4_13·a_6_19·b_1_24
       + a_2_5·b_4_14·b_1_2·b_7_44 + a_2_5·b_4_13·b_1_2·b_7_44 + a_2_5·b_4_13·b_1_28
       + a_2_5·b_4_13·b_4_14·b_1_24 + a_2_5·b_2_4·b_4_14·b_1_26
       + a_2_5·b_2_4·b_4_13·b_1_26 + a_2_5·b_2_4·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_42·b_6_32·b_1_22 + a_2_5·b_2_42·b_4_13·b_1_24
       + a_2_5·b_2_43·b_4_13·b_1_22 + a_2_5·b_2_44·b_4_14 + a_2_5·b_2_44·b_4_13
       + a_2_5·b_2_46 + a_7_29·a_7_31 + a_6_192·b_1_22 + b_4_13·a_6_19·a_1_1·b_1_23
       + a_2_52·b_2_43·b_4_14 + a_2_52·b_2_45 + b_4_13·a_6_19·a_1_12·b_1_22
       + b_4_13·c_4_15·b_6_32 + b_2_4·c_8_60·b_1_2·b_3_7 + b_2_4·c_4_15·b_8_58
       + b_2_4·c_4_15·b_6_32·b_1_22 + b_2_4·b_4_14·c_8_60 + b_2_4·b_4_13·c_4_15·b_1_24
       + b_2_42·c_8_60·b_1_22 + b_2_42·c_4_15·b_1_26 + b_2_42·c_4_15·b_6_32
       + b_2_42·b_4_14·c_4_15·b_1_22 + b_2_42·b_4_13·c_4_15·b_1_22 + b_2_43·c_8_60
       + b_2_43·c_4_15·b_1_2·b_3_7 + b_2_43·b_4_14·c_4_15 + b_2_43·b_4_13·c_4_15
       + c_4_15·a_1_1·b_1_29 + a_2_5·c_8_60·b_1_2·b_3_7 + a_2_5·c_4_15·b_1_2·b_7_44
       + a_2_5·b_4_13·b_4_14·c_4_15 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_22 + a_2_5·b_2_44·c_4_15
       + b_4_13·c_4_15·a_1_1·a_5_14 + b_4_13·c_4_15·a_1_12·b_1_24
       + a_2_5·c_8_60·b_1_2·a_3_8 + a_2_5·c_4_15·b_1_2·a_7_29 + a_2_52·b_2_43·c_4_15
       + c_8_60·a_1_12·b_1_2·a_3_9 + c_4_15·a_6_19·a_1_1·a_3_9
       + c_4_15·a_6_19·a_1_12·b_1_22 + b_2_4·b_4_13·c_4_152 + b_2_42·c_4_152·b_1_22
       + b_2_43·c_4_152 + c_4_152·a_1_1·a_5_14 + b_4_13·c_4_152·a_1_12
       + a_2_5·c_4_152·b_1_2·a_3_8 + c_4_152·a_1_12·b_1_2·a_3_9
  155. a_6_19·b_8_58 + b_4_13·a_6_19·b_1_24 + a_2_5·b_1_25·b_7_44 + a_2_5·b_1_212
       + a_2_5·b_2_4·b_1_2·b_9_78 + a_2_5·b_2_4·b_1_210 + a_2_5·b_2_4·b_4_14·b_1_26
       + a_2_5·b_2_4·b_4_13·b_1_26 + a_2_5·b_2_4·b_4_13·b_6_32 + a_2_5·b_2_42·b_1_28
       + a_2_5·b_2_42·b_4_14·b_1_24 + a_2_5·b_2_42·b_4_13·b_4_14
       + a_2_5·b_2_43·b_1_2·b_5_23 + a_2_5·b_2_43·b_1_26 + a_2_5·b_2_43·b_4_13·b_1_22
       + a_2_5·b_2_44·b_1_24 + a_2_5·b_2_44·b_4_13 + a_2_5·b_2_45·b_1_22
       + a_7_29·a_7_31 + a_6_19·a_1_1·b_1_27 + a_6_192·b_1_22 + a_2_52·b_2_42·b_6_32
       + a_2_52·b_2_45 + a_6_192·a_1_1·b_1_2 + b_4_13·c_4_15·a_6_19
       + a_2_5·c_8_60·b_1_2·b_3_7 + a_2_5·c_4_15·b_8_58 + a_2_5·c_4_15·b_6_32·b_1_22
       + a_2_5·b_4_14·c_8_60 + a_2_5·b_4_14·c_4_15·b_1_24 + a_2_5·b_4_13·c_4_15·b_1_24
       + a_2_5·b_4_13·b_4_14·c_4_15 + a_2_5·b_2_4·c_4_15·b_1_26
       + a_2_5·b_2_4·c_4_15·b_6_32 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_22
       + a_2_5·b_2_42·c_8_60 + a_2_5·b_2_42·c_4_15·b_1_24 + a_2_5·b_2_42·b_4_14·c_4_15
       + a_2_5·b_2_42·b_4_13·c_4_15 + a_2_5·b_2_43·c_4_15·b_1_22
       + a_2_5·c_8_60·b_1_2·a_3_8 + a_2_5·c_4_15·b_1_2·a_7_29 + a_2_52·c_4_15·b_6_32
       + a_2_52·b_2_4·b_4_14·c_4_15 + a_2_52·b_2_43·c_4_15 + c_4_15·a_6_19·a_1_1·a_3_9
       + a_2_5·b_4_13·c_4_152 + a_2_5·b_2_4·c_4_152·b_1_22 + a_2_5·b_2_42·c_4_152
       + c_4_152·a_1_1·a_5_14 + c_4_152·a_1_12·b_1_24 + b_4_13·c_4_152·a_1_12
  156. b_5_23·b_9_78 + b_4_13·b_6_32·b_1_24 + b_4_13·b_4_14·b_1_26 + b_2_4·b_1_212
       + b_2_4·b_4_13·b_1_2·b_7_44 + b_2_4·b_4_13·b_4_14·b_1_24 + b_2_42·b_6_32·b_1_24
       + b_2_43·b_1_28 + b_2_43·b_4_14·b_1_24 + b_2_44·b_1_26
       + b_2_44·b_4_14·b_1_22 + b_2_44·b_4_13·b_1_22 + b_2_45·b_1_2·b_3_7
       + a_7_31·b_7_44 + a_6_19·b_8_58 + b_4_13·b_1_25·a_5_14 + b_4_13·a_6_19·b_1_24
       + a_2_5·b_1_25·b_7_44 + a_2_5·b_1_212 + a_2_5·b_4_13·b_1_2·b_7_44
       + a_2_5·b_4_13·b_1_28 + a_2_5·b_4_13·b_6_32·b_1_22 + a_2_5·b_4_13·b_4_14·b_1_24
       + a_2_5·b_2_4·b_1_23·b_7_44 + a_2_5·b_2_4·b_6_32·b_1_24
       + a_2_5·b_2_4·b_4_14·b_1_26 + a_2_5·b_2_4·b_4_13·b_1_26
       + a_2_5·b_2_4·b_4_13·b_6_32 + a_2_5·b_2_42·b_1_2·b_7_44 + a_2_5·b_2_42·b_1_28
       + a_2_5·b_2_42·b_6_32·b_1_22 + a_2_5·b_2_43·b_1_26
       + a_2_5·b_2_43·b_4_14·b_1_22 + a_2_5·b_2_44·b_1_24 + a_2_5·b_2_45·b_1_22
       + a_7_292 + a_6_19·a_1_1·b_1_27 + a_6_192·b_1_22 + b_4_13·a_1_12·b_1_28
       + b_4_13·a_6_19·a_1_1·b_1_23 + a_2_52·b_2_42·b_6_32 + a_6_192·a_1_1·b_1_2
       + b_4_13·a_6_19·a_1_12·b_1_22 + c_8_60·b_1_2·b_5_23 + c_4_15·b_1_2·b_9_78
       + c_4_15·b_6_32·b_1_24 + b_4_13·b_4_14·c_4_15·b_1_22
       + b_2_4·b_4_14·c_4_15·b_1_24 + c_4_15·b_1_25·a_5_14 + b_4_13·c_4_15·a_1_1·b_1_25
       + b_4_13·c_4_15·a_6_19 + a_2_5·c_4_15·b_1_2·b_7_44 + a_2_5·c_4_15·b_1_28
       + a_2_5·c_4_15·b_8_58 + a_2_5·c_4_15·b_6_32·b_1_22 + a_2_5·b_4_14·c_8_60
       + a_2_5·b_2_4·c_8_60·b_1_22 + a_2_5·b_2_4·c_4_15·b_1_26
       + a_2_5·b_2_4·c_4_15·b_6_32 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_22 + a_2_5·b_2_42·c_8_60
       + a_2_5·b_2_42·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_42·c_4_15·b_1_24
       + a_2_5·b_2_42·b_4_14·c_4_15 + c_4_15·a_1_12·b_1_28 + b_4_13·c_4_15·a_1_1·a_5_14
       + a_2_52·c_4_15·b_6_32 + a_2_52·b_2_4·b_4_14·c_4_15 + a_2_52·b_2_43·c_4_15
       + c_8_60·a_1_12·b_1_2·a_3_9 + c_4_15·a_6_19·a_1_1·a_3_9
       + c_4_15·a_6_19·a_1_12·b_1_22 + c_4_15·c_8_60·b_1_22 + b_2_4·c_4_152·b_1_24
       + c_4_152·a_1_1·b_1_25 + a_2_5·c_4_152·b_1_2·b_3_7 + a_2_5·b_4_13·c_4_152
       + a_2_5·b_2_4·c_4_152·b_1_22 + a_2_5·b_2_42·c_4_152 + a_2_52·b_2_4·c_4_152
       + c_4_153·a_1_12
  157. a_7_31·b_7_44 + a_5_14·b_9_78 + a_6_19·b_8_58 + b_4_13·a_6_19·b_1_24
       + a_2_5·b_1_25·b_7_44 + a_2_5·b_4_14·b_1_2·b_7_44 + a_2_5·b_4_14·b_1_28
       + a_2_5·b_4_13·b_1_28 + a_2_5·b_4_13·b_6_32·b_1_22 + a_2_5·b_2_4·b_1_23·b_7_44
       + a_2_5·b_2_4·b_4_14·b_1_26 + a_2_5·b_2_4·b_4_13·b_6_32 + a_2_5·b_2_42·b_1_28
       + a_2_5·b_2_42·b_6_32·b_1_22 + a_2_5·b_2_42·b_4_13·b_1_24
       + a_2_5·b_2_43·b_1_2·b_5_23 + a_2_5·b_2_43·b_1_26 + a_2_5·b_2_43·b_4_13·b_1_22
       + a_2_5·b_2_44·b_1_2·b_3_7 + a_2_5·b_2_44·b_4_13 + b_4_13·a_6_19·a_1_1·b_1_23
       + a_2_52·b_2_45 + a_6_192·a_1_1·b_1_2 + c_8_60·b_1_2·a_5_14 + b_4_13·c_4_15·a_6_19
       + a_2_5·c_4_15·b_1_2·b_7_44 + a_2_5·c_4_15·b_8_58 + a_2_5·c_4_15·b_6_32·b_1_22
       + a_2_5·b_4_14·c_8_60 + a_2_5·b_4_13·b_4_14·c_4_15 + a_2_5·b_2_4·c_8_60·b_1_22
       + a_2_5·b_2_4·c_4_15·b_6_32 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_22 + a_2_5·b_2_42·c_8_60
       + a_2_5·b_2_42·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_42·b_4_14·c_4_15
       + a_2_5·b_2_42·b_4_13·c_4_15 + c_4_15·a_1_12·b_1_28
       + c_4_15·a_6_19·a_1_1·b_1_23 + b_4_13·c_4_15·a_1_1·a_5_14
       + b_4_13·c_4_15·a_1_12·b_1_24 + a_2_5·c_8_60·b_1_2·a_3_8 + a_2_52·c_4_15·b_6_32
       + c_8_60·a_1_12·b_1_2·a_3_9 + c_4_15·a_6_19·a_1_1·a_3_9 + a_2_5·b_4_13·c_4_152
       + a_2_5·b_2_4·c_4_152·b_1_22 + a_2_5·b_2_42·c_4_152
       + a_2_5·c_4_152·b_1_2·a_3_8
  158. a_7_31·b_7_44 + a_5_16·b_9_78 + a_6_19·b_8_58 + b_4_13·a_6_19·b_1_24
       + a_2_5·b_1_25·b_7_44 + a_2_5·b_4_14·b_1_2·b_7_44 + a_2_5·b_4_14·b_1_28
       + a_2_5·b_4_13·b_1_28 + a_2_5·b_4_13·b_6_32·b_1_22 + a_2_5·b_2_4·b_1_23·b_7_44
       + a_2_5·b_2_4·b_4_14·b_1_26 + a_2_5·b_2_4·b_4_13·b_4_14·b_1_22
       + a_2_5·b_2_42·b_4_13·b_4_14 + a_2_5·b_2_43·b_1_2·b_5_23
       + a_2_5·b_2_43·b_4_13·b_1_22 + a_2_5·b_2_44·b_1_2·b_3_7 + a_2_5·b_2_44·b_1_24
       + a_2_5·b_2_45·b_1_22 + b_4_13·a_6_19·a_1_1·b_1_23 + a_2_52·b_2_45
       + c_8_60·b_1_2·a_5_16 + b_4_13·c_4_15·a_6_19 + a_2_5·c_4_15·b_1_2·b_7_44
       + a_2_5·c_4_15·b_8_58 + a_2_5·c_4_15·b_6_32·b_1_22 + a_2_5·b_4_14·c_8_60
       + a_2_5·b_4_13·b_4_14·c_4_15 + a_2_5·b_2_4·c_8_60·b_1_22
       + a_2_5·b_2_4·c_4_15·b_6_32 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_22
       + a_2_5·b_2_42·c_8_60 + a_2_5·b_2_42·c_4_15·b_1_24 + a_2_5·b_2_42·b_4_14·c_4_15
       + a_2_5·b_2_43·c_4_15·b_1_22 + c_4_15·a_1_12·b_1_28
       + c_4_15·a_6_19·a_1_1·b_1_23 + b_4_13·c_4_15·a_1_1·a_5_14
       + b_4_13·c_4_15·a_1_12·b_1_24 + a_2_52·c_4_15·b_6_32
       + a_2_52·b_2_4·b_4_14·c_4_15 + a_2_52·b_2_43·c_4_15 + c_8_60·a_1_12·b_1_2·a_3_9
       + c_4_15·a_6_19·a_1_1·a_3_9 + c_4_15·a_6_19·a_1_12·b_1_22 + a_2_5·b_4_13·c_4_152
       + a_2_5·b_2_4·c_4_152·b_1_22 + a_2_5·b_2_42·c_4_152
  159. b_8_58·b_7_44 + b_4_14·b_1_24·b_7_44 + b_4_13·b_1_24·b_7_44
       + b_2_4·b_4_14·b_1_22·b_7_44 + b_2_4·b_4_13·b_6_32·b_1_23
       + b_2_4·b_4_13·b_4_14·b_1_25 + b_2_42·b_1_211 + b_2_42·b_4_14·b_1_27
       + b_2_42·b_4_13·b_7_44 + b_2_43·b_4_13·b_1_25 + b_2_44·b_7_44 + b_2_44·b_1_27
       + b_2_44·b_6_32·b_1_2 + b_2_44·b_4_14·b_1_23 + b_2_44·b_4_13·b_3_7
       + b_2_44·b_4_13·b_1_23 + b_2_45·b_4_14·b_1_2 + b_2_46·b_1_23 + b_2_47·b_1_2
       + b_8_58·a_7_29 + a_6_19·b_1_22·b_7_44 + b_4_13·a_6_19·b_1_25 + b_2_44·a_7_29
       + b_2_45·a_5_14 + a_2_5·b_1_213 + a_2_5·b_4_14·b_1_22·b_7_44
       + a_2_5·b_4_14·b_1_29 + a_2_5·b_4_13·b_1_29 + a_2_5·b_2_4·b_1_24·b_7_44
       + a_2_5·b_2_4·b_1_211 + a_2_5·b_2_4·b_4_14·b_7_44 + a_2_5·b_2_4·b_4_14·b_1_27
       + a_2_5·b_2_4·b_4_13·b_7_44 + a_2_5·b_2_4·b_4_13·b_6_32·b_1_2
       + a_2_5·b_2_42·b_1_22·b_7_44 + a_2_5·b_2_42·b_1_29
       + a_2_5·b_2_42·b_6_32·b_1_23 + a_2_5·b_2_42·b_4_13·b_4_14·b_1_2
       + a_2_5·b_2_43·b_7_44 + a_2_5·b_2_43·b_1_27 + a_2_5·b_2_43·b_6_32·b_1_2
       + a_2_5·b_2_44·b_4_14·b_1_2 + a_2_5·b_2_46·b_1_2 + a_6_19·a_1_1·b_1_28
       + a_6_192·b_1_23 + b_4_13·a_6_19·a_1_1·b_1_24 + a_2_5·b_2_45·a_3_8
       + b_4_13·a_6_19·a_1_12·b_1_23 + b_4_13·c_4_15·b_7_44 + b_2_4·c_4_15·b_1_22·b_7_44
       + b_2_4·c_4_15·b_6_32·b_1_23 + b_2_4·b_4_13·b_4_14·c_4_15·b_1_2
       + b_2_42·c_8_60·b_3_7 + b_2_42·c_8_60·b_1_23 + b_2_42·b_4_14·c_4_15·b_1_23
       + b_2_42·b_4_13·c_4_15·b_3_7 + b_2_42·b_4_13·c_4_15·b_1_23 + b_2_44·c_4_15·b_3_7
       + b_4_13·c_4_15·b_1_22·a_5_14 + b_2_42·c_4_15·a_7_29 + b_2_43·c_8_60·a_1_0
       + b_2_43·c_4_15·a_5_14 + b_2_45·c_4_15·a_1_0 + a_2_5·c_8_60·b_5_23
       + a_2_5·c_4_15·b_1_22·b_7_44 + a_2_5·c_4_15·b_1_29 + a_2_5·c_4_15·b_6_32·b_1_23
       + a_2_5·b_4_14·c_8_60·b_1_2 + a_2_5·b_4_14·c_4_15·b_1_25
       + a_2_5·b_4_13·c_4_15·b_1_25 + a_2_5·b_4_13·b_4_14·c_4_15·b_1_2
       + a_2_5·b_2_4·c_8_60·b_3_7 + a_2_5·b_2_4·c_4_15·b_7_44 + a_2_5·b_2_4·c_4_15·b_1_27
       + a_2_5·b_2_4·c_4_15·b_6_32·b_1_2 + a_2_5·b_2_4·b_4_13·c_4_15·b_3_7
       + a_2_5·b_2_42·c_8_60·b_1_2 + a_2_5·b_2_42·c_4_15·b_5_23
       + a_2_5·b_2_42·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_42·b_4_13·c_4_15·b_1_2
       + a_2_5·b_2_44·c_4_15·b_1_2 + c_4_15·a_6_19·a_1_1·b_1_24
       + b_4_13·c_8_60·a_1_12·b_1_2 + b_4_13·c_4_15·a_1_12·b_1_25
       + a_2_5·b_2_4·c_8_60·a_3_8 + a_2_5·b_2_4·c_4_15·a_7_29
       + c_4_15·a_6_19·a_1_12·b_1_23 + b_4_13·c_4_15·a_1_12·a_5_14
       + b_2_42·c_4_152·b_3_7 + b_2_42·c_4_152·b_1_23 + a_2_5·c_4_15·c_8_60·b_1_2
       + a_2_5·c_4_152·b_5_23 + a_2_5·b_4_13·c_4_152·b_1_2 + c_4_152·a_1_12·b_1_25
       + c_4_152·a_6_19·a_1_1 + b_4_13·c_4_152·a_1_12·b_1_2 + b_4_13·c_4_152·a_1_13
       + c_4_153·a_1_1·b_1_22 + a_2_5·c_4_153·b_1_2
  160. b_8_58·b_7_44 + b_4_14·b_1_24·b_7_44 + b_4_13·b_1_24·b_7_44
       + b_2_4·b_4_14·b_1_22·b_7_44 + b_2_4·b_4_13·b_6_32·b_1_23
       + b_2_4·b_4_13·b_4_14·b_1_25 + b_2_42·b_1_211 + b_2_42·b_4_14·b_1_27
       + b_2_42·b_4_13·b_7_44 + b_2_43·b_4_13·b_1_25 + b_2_44·b_7_44 + b_2_44·b_1_27
       + b_2_44·b_6_32·b_1_2 + b_2_44·b_4_14·b_1_23 + b_2_44·b_4_13·b_3_7
       + b_2_44·b_4_13·b_1_23 + b_2_45·b_4_14·b_1_2 + b_2_46·b_1_23 + b_2_47·b_1_2
       + a_6_19·b_1_22·b_7_44 + b_4_13·b_1_26·a_5_14 + b_4_13·a_6_19·b_1_25
       + b_2_45·a_5_14 + b_2_46·a_3_8 + a_2_5·b_4_14·b_1_22·b_7_44
       + a_2_5·b_4_13·b_1_22·b_7_44 + a_2_5·b_4_13·b_1_29 + a_2_5·b_2_4·b_1_24·b_7_44
       + a_2_5·b_2_4·b_1_211 + a_2_5·b_2_4·b_4_14·b_1_27 + a_2_5·b_2_4·b_4_13·b_1_27
       + a_2_5·b_2_4·b_4_13·b_4_14·b_1_23 + a_2_5·b_2_42·b_6_32·b_1_23
       + a_2_5·b_2_42·b_4_14·b_1_25 + a_2_5·b_2_42·b_4_13·b_1_25
       + a_2_5·b_2_42·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_43·b_6_32·b_1_2
       + a_2_5·b_2_43·b_4_13·b_3_7 + a_2_5·b_2_44·b_5_23 + a_2_5·b_2_43·a_7_29
       + a_6_192·a_1_1·b_1_22 + b_4_13·a_6_19·a_1_12·b_1_23 + b_4_13·c_4_15·b_7_44
       + b_2_4·c_4_15·b_1_22·b_7_44 + b_2_4·c_4_15·b_6_32·b_1_23
       + b_2_4·b_4_13·b_4_14·c_4_15·b_1_2 + b_2_42·c_8_60·b_3_7 + b_2_42·c_8_60·b_1_23
       + b_2_42·b_4_14·c_4_15·b_1_23 + b_2_42·b_4_13·c_4_15·b_3_7
       + b_2_42·b_4_13·c_4_15·b_1_23 + b_2_44·c_4_15·b_3_7 + c_4_15·a_1_1·b_1_210
       + b_2_42·c_8_60·a_3_8 + b_2_42·c_4_15·a_7_29 + b_2_43·c_8_60·a_1_0
       + b_2_43·c_4_15·a_5_16 + b_2_44·c_4_15·a_3_8 + a_2_5·c_8_60·b_5_23
       + a_2_5·c_4_15·b_9_78 + a_2_5·c_4_15·b_1_22·b_7_44 + a_2_5·c_4_15·b_1_29
       + a_2_5·c_4_15·b_6_32·b_1_23 + a_2_5·b_4_14·c_8_60·b_1_2
       + a_2_5·b_4_14·c_4_15·b_1_25 + a_2_5·b_4_13·b_4_14·c_4_15·b_1_2
       + a_2_5·b_2_4·c_8_60·b_3_7 + a_2_5·b_2_4·c_4_15·b_1_27
       + a_2_5·b_2_4·c_4_15·b_6_32·b_1_2 + a_2_5·b_2_4·b_4_14·c_4_15·b_1_23
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_23 + a_2_5·b_2_42·c_4_15·b_5_23
       + a_2_5·b_2_42·b_4_13·c_4_15·b_1_2 + a_2_5·b_2_43·c_4_15·b_1_23
       + a_2_5·b_2_44·c_4_15·b_1_2 + c_4_15·a_6_19·a_5_14 + b_4_13·c_4_15·a_1_12·b_1_25
       + b_4_13·c_4_15·a_6_19·a_1_1 + a_2_5·b_2_43·c_4_15·a_3_8
       + c_4_15·a_6_19·a_1_12·b_1_23 + b_4_13·c_8_60·a_1_13
       + b_4_13·c_4_15·a_1_12·a_5_14 + b_2_42·c_4_152·b_3_7 + b_2_42·c_4_152·b_1_23
       + b_2_42·c_4_152·a_3_8 + a_2_5·b_2_4·c_4_152·b_3_7 + a_2_5·b_2_42·c_4_152·b_1_2
       + c_4_15·c_8_60·a_1_12·b_1_2 + c_4_15·c_8_60·a_1_13
  161. b_8_58·a_7_31 + b_4_13·b_1_26·a_5_14 + b_4_13·a_6_19·b_1_25 + a_2_5·b_1_26·b_7_44
       + a_2_5·b_4_14·b_1_22·b_7_44 + a_2_5·b_4_14·b_1_29 + a_2_5·b_4_13·b_6_32·b_1_23
       + a_2_5·b_2_4·b_1_24·b_7_44 + a_2_5·b_2_4·b_1_211 + a_2_5·b_2_4·b_4_13·b_1_27
       + a_2_5·b_2_42·b_9_78 + a_2_5·b_2_42·b_1_29 + a_2_5·b_2_42·b_4_14·b_1_25
       + a_2_5·b_2_42·b_4_13·b_1_25 + a_2_5·b_2_43·b_7_44 + a_2_5·b_2_43·b_1_27
       + a_2_5·b_2_43·b_6_32·b_1_2 + a_2_5·b_2_43·b_4_14·b_1_23
       + a_2_5·b_2_43·b_4_13·b_3_7 + a_2_5·b_2_44·b_5_23 + a_2_5·b_2_44·b_1_25
       + a_2_5·b_2_44·b_4_14·b_1_2 + a_2_5·b_2_46·b_1_2 + b_4_13·a_6_19·a_1_1·b_1_24
       + a_2_5·b_2_43·a_7_29 + b_4_13·a_6_19·a_1_12·b_1_23 + c_4_15·b_1_26·a_5_14
       + b_4_13·c_4_15·b_1_22·a_5_14 + b_4_13·c_4_15·a_1_1·b_1_26
       + b_4_13·c_4_15·a_6_19·b_1_2 + b_2_43·c_8_60·a_1_0 + b_2_43·c_4_15·a_5_16
       + b_2_43·c_4_15·a_5_14 + b_2_44·c_4_15·a_3_8 + a_2_5·c_4_15·b_1_29
       + a_2_5·c_4_15·b_6_32·b_1_23 + a_2_5·b_2_4·c_8_60·b_3_7 + a_2_5·b_2_4·c_4_15·b_7_44
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_23 + a_2_5·b_2_42·c_4_15·b_5_23
       + a_2_5·b_2_42·c_4_15·b_1_25 + a_2_5·b_2_42·b_4_14·c_4_15·b_1_2
       + a_2_5·b_2_43·c_4_15·b_1_23 + c_4_15·a_6_19·a_1_1·b_1_24
       + b_4_13·c_8_60·a_1_12·b_1_2 + b_4_13·c_4_15·a_1_12·b_1_25
       + a_2_5·b_2_43·c_4_15·a_3_8 + b_4_13·c_8_60·a_1_13 + c_4_152·b_1_22·a_5_14
       + b_4_13·c_4_152·a_1_1·b_1_22 + b_2_43·c_4_152·a_1_0 + a_2_5·c_4_152·b_1_25
       + a_2_5·b_4_14·c_4_152·b_1_2 + a_2_5·b_4_13·c_4_152·b_1_2
       + a_2_5·b_2_4·c_4_152·b_1_23 + c_4_15·c_8_60·a_1_12·b_1_2
       + c_4_152·a_1_12·b_1_25 + b_4_13·c_4_152·a_1_13 + c_4_153·a_1_13
  162. b_8_58·b_7_44 + b_4_14·b_1_24·b_7_44 + b_4_13·b_1_24·b_7_44
       + b_2_4·b_4_14·b_1_22·b_7_44 + b_2_4·b_4_13·b_6_32·b_1_23
       + b_2_4·b_4_13·b_4_14·b_1_25 + b_2_42·b_1_211 + b_2_42·b_4_14·b_1_27
       + b_2_42·b_4_13·b_7_44 + b_2_43·b_4_13·b_1_25 + b_2_44·b_7_44 + b_2_44·b_1_27
       + b_2_44·b_6_32·b_1_2 + b_2_44·b_4_14·b_1_23 + b_2_44·b_4_13·b_3_7
       + b_2_44·b_4_13·b_1_23 + b_2_45·b_4_14·b_1_2 + b_2_46·b_1_23 + b_2_47·b_1_2
       + b_8_58·a_7_31 + a_6_19·b_9_78 + a_6_19·b_1_22·b_7_44 + b_4_13·b_1_26·a_5_14
       + b_4_13·a_6_19·b_1_25 + b_2_45·a_5_14 + b_2_46·a_3_8 + a_2_5·b_1_213
       + a_2_5·b_4_14·b_1_22·b_7_44 + a_2_5·b_4_13·b_1_22·b_7_44 + a_2_5·b_4_13·b_1_29
       + a_2_5·b_4_13·b_6_32·b_1_23 + a_2_5·b_2_4·b_1_24·b_7_44 + a_2_5·b_2_4·b_1_211
       + a_2_5·b_2_4·b_4_13·b_1_27 + a_2_5·b_2_4·b_4_13·b_4_14·b_1_23
       + a_2_5·b_2_42·b_4_13·b_4_14·b_1_2 + a_2_5·b_2_43·b_7_44
       + a_2_5·b_2_43·b_4_14·b_1_23 + a_2_5·b_2_43·b_4_13·b_1_23
       + a_2_5·b_2_44·b_5_23 + a_2_5·b_2_44·b_1_25 + a_2_5·b_2_44·b_4_13·b_1_2
       + a_2_5·b_2_45·b_3_7 + a_2_5·b_2_46·b_1_2 + a_6_19·a_1_1·b_1_28 + a_6_192·b_1_23
       + b_4_13·a_6_19·a_1_1·b_1_24 + a_6_192·a_1_1·b_1_22
       + b_4_13·a_6_19·a_1_12·b_1_23 + b_4_13·c_4_15·b_7_44 + b_2_4·c_4_15·b_1_22·b_7_44
       + b_2_4·c_4_15·b_6_32·b_1_23 + b_2_4·b_4_13·b_4_14·c_4_15·b_1_2
       + b_2_42·c_8_60·b_3_7 + b_2_42·c_8_60·b_1_23 + b_2_42·b_4_14·c_4_15·b_1_23
       + b_2_42·b_4_13·c_4_15·b_3_7 + b_2_42·b_4_13·c_4_15·b_1_23 + b_2_44·c_4_15·b_3_7
       + a_6_19·c_8_60·b_1_2 + c_4_15·b_1_26·a_5_14 + b_4_13·c_4_15·b_1_22·a_5_14
       + b_4_13·c_4_15·a_1_1·b_1_26 + b_4_13·c_4_15·a_6_19·b_1_2 + b_2_42·c_8_60·a_3_8
       + b_2_42·c_4_15·a_7_29 + b_2_43·c_4_15·a_5_14 + a_2_5·c_4_15·b_1_22·b_7_44
       + a_2_5·c_4_15·b_1_29 + a_2_5·b_4_13·c_4_15·b_1_25 + a_2_5·b_2_4·c_8_60·b_3_7
       + a_2_5·b_2_4·c_4_15·b_7_44 + a_2_5·b_2_4·c_4_15·b_1_27
       + a_2_5·b_2_4·c_4_15·b_6_32·b_1_2 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_23
       + a_2_5·b_2_42·c_8_60·b_1_2 + a_2_5·b_2_42·c_4_15·b_1_25
       + a_2_5·b_2_42·b_4_14·c_4_15·b_1_2 + c_4_15·a_6_19·a_1_1·b_1_24
       + b_4_13·c_4_15·a_1_12·b_1_25 + b_4_13·c_4_15·a_6_19·a_1_1
       + a_2_5·b_2_4·c_4_15·a_7_29 + b_4_13·c_8_60·a_1_13 + b_2_42·c_4_152·b_3_7
       + b_2_42·c_4_152·b_1_23 + c_4_152·b_1_22·a_5_14
       + b_4_13·c_4_152·a_1_1·b_1_22 + b_2_42·c_4_152·a_3_8 + b_2_43·c_4_152·a_1_0
       + a_2_5·c_4_152·b_1_25 + a_2_5·b_4_14·c_4_152·b_1_2 + a_2_5·b_4_13·c_4_152·b_1_2
       + a_2_5·b_2_4·c_4_152·b_3_7 + a_2_5·b_2_4·c_4_152·b_1_23
       + a_2_5·b_2_42·c_4_152·b_1_2 + c_4_15·c_8_60·a_1_12·b_1_2
       + c_4_152·a_1_12·b_1_25 + a_2_5·b_2_4·c_4_152·a_3_8 + c_4_153·a_1_13
  163. b_6_32·b_9_78 + b_4_13·b_4_14·b_7_44 + b_2_4·b_1_26·b_7_44 + b_2_4·b_1_213
       + b_2_4·b_4_14·b_1_29 + b_2_4·b_4_13·b_1_22·b_7_44 + b_2_4·b_4_13·b_6_32·b_1_23
       + b_2_4·b_4_13·b_4_14·b_1_25 + b_2_42·b_1_24·b_7_44 + b_2_42·b_4_14·b_1_27
       + b_2_42·b_4_13·b_7_44 + b_2_42·b_4_13·b_1_27 + b_2_43·b_9_78
       + b_2_43·b_1_22·b_7_44 + b_2_43·b_1_29 + b_2_43·b_6_32·b_1_23
       + b_2_43·b_4_14·b_1_25 + b_2_43·b_4_13·b_1_25 + b_2_44·b_1_27
       + b_2_44·b_4_14·b_1_23 + b_2_45·b_5_23 + b_2_45·b_1_25 + b_4_13·b_1_26·a_5_14
       + b_4_13·a_6_19·b_1_25 + b_2_45·a_5_16 + b_2_46·a_3_8 + a_2_5·b_1_26·b_7_44
       + a_2_5·b_4_14·b_1_22·b_7_44 + a_2_5·b_2_4·b_1_24·b_7_44 + a_2_5·b_2_4·b_1_211
       + a_2_5·b_2_4·b_4_14·b_1_27 + a_2_5·b_2_4·b_4_13·b_6_32·b_1_2
       + a_2_5·b_2_4·b_4_13·b_4_14·b_1_23 + a_2_5·b_2_42·b_1_29
       + a_2_5·b_2_42·b_4_14·b_1_25 + a_2_5·b_2_42·b_4_13·b_4_14·b_1_2
       + a_2_5·b_2_43·b_7_44 + a_2_5·b_2_43·b_1_27 + a_2_5·b_2_43·b_6_32·b_1_2
       + a_2_5·b_2_43·b_4_14·b_1_23 + a_2_5·b_2_43·b_4_13·b_3_7 + a_2_5·b_2_44·b_1_25
       + a_2_5·b_2_44·b_4_13·b_1_2 + a_2_5·b_2_45·b_3_7 + a_2_5·b_2_46·b_1_2
       + a_6_192·b_1_23 + b_4_13·a_6_19·a_5_14 + a_2_5·b_2_43·a_7_29 + b_6_32·c_8_60·b_1_2
       + b_4_14·c_4_15·b_7_44 + b_2_4·c_8_60·b_5_23 + b_2_4·c_4_15·b_9_78
       + b_2_4·c_4_15·b_1_22·b_7_44 + b_2_4·c_4_15·b_1_29 + b_2_4·c_4_15·b_6_32·b_1_23
       + b_2_4·b_4_14·c_8_60·b_1_2 + b_2_4·b_4_14·c_4_15·b_1_25
       + b_2_4·b_4_13·c_4_15·b_1_25 + b_2_42·c_8_60·b_3_7
       + b_2_42·b_4_14·c_4_15·b_1_23 + b_2_42·b_4_13·c_4_15·b_1_23
       + b_2_43·c_8_60·b_1_2 + b_2_43·b_4_14·c_4_15·b_1_2 + b_2_43·b_4_13·c_4_15·b_1_2
       + b_2_44·c_4_15·b_1_23 + b_2_45·c_4_15·b_1_2 + c_4_15·a_1_1·b_1_210
       + c_4_15·b_6_32·a_5_14 + b_2_42·c_4_15·a_7_29 + b_2_43·c_4_15·a_5_14
       + a_2_5·c_4_15·b_1_22·b_7_44 + a_2_5·c_4_15·b_1_29 + a_2_5·b_4_14·c_8_60·b_1_2
       + a_2_5·b_4_13·b_4_14·c_4_15·b_1_2 + a_2_5·b_2_4·c_8_60·b_1_23
       + a_2_5·b_2_4·c_4_15·b_1_27 + a_2_5·b_2_4·c_4_15·b_6_32·b_1_2
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_23 + a_2_5·b_2_42·c_8_60·b_1_2
       + a_2_5·b_2_42·c_4_15·b_5_23 + a_2_5·b_2_42·b_4_14·c_4_15·b_1_2
       + a_2_5·b_2_44·c_4_15·b_1_2 + c_4_15·a_6_19·a_1_1·b_1_24
       + b_4_13·c_4_15·a_1_12·b_1_25 + b_4_13·c_4_15·a_6_19·a_1_1
       + a_2_5·b_2_4·c_4_15·a_7_29 + c_8_60·a_1_12·a_5_14 + b_4_13·c_8_60·a_1_13
       + b_2_4·c_4_152·b_1_25 + b_2_4·c_4_152·a_5_16 + a_2_5·c_4_152·b_5_23
       + a_2_5·b_2_42·c_4_152·b_1_2 + c_4_15·c_8_60·a_1_12·b_1_2 + c_4_152·a_6_19·a_1_1
       + a_2_5·b_2_4·c_4_152·a_3_8 + c_4_152·a_1_12·a_5_14 + b_2_4·c_4_153·a_1_0
       + a_2_5·c_4_153·b_1_2
  164. b_8_582 + b_2_4·b_4_14·b_1_210 + b_2_42·b_4_14·b_1_28 + b_2_44·b_1_2·b_7_44
       + b_2_44·b_8_58 + b_2_44·b_4_14·b_1_24 + b_2_44·b_4_13·b_1_24 + b_2_45·b_6_32
       + b_2_45·b_4_13·b_1_22 + b_2_46·b_1_24 + b_2_46·b_4_14 + a_2_5·b_1_214
       + a_2_5·b_2_4·b_4_13·b_1_28 + a_2_5·b_2_42·b_1_210
       + a_2_5·b_2_42·b_6_32·b_1_24 + a_2_5·b_2_42·b_4_14·b_1_26
       + a_2_5·b_2_42·b_4_13·b_1_26 + a_2_5·b_2_42·b_4_13·b_6_32
       + a_2_5·b_2_42·b_4_13·b_4_14·b_1_22 + a_2_5·b_2_43·b_1_2·b_7_44
       + a_2_5·b_2_43·b_6_32·b_1_22 + a_2_5·b_2_43·b_4_13·b_4_14
       + a_2_5·b_2_45·b_1_2·b_3_7 + a_2_5·b_2_45·b_4_13 + a_2_5·b_2_46·b_1_22
       + a_2_5·b_2_47 + a_6_192·b_1_24 + b_4_13·a_6_19·a_1_1·b_1_25 + b_4_13·a_6_192
       + a_2_52·b_2_43·b_6_32 + b_4_13·a_6_19·a_1_12·b_1_24 + c_4_15·b_1_212
       + b_2_43·c_8_60·b_1_22 + b_2_43·b_4_14·c_4_15·b_1_22 + b_2_44·c_8_60
       + b_2_44·c_4_15·b_1_2·b_3_7 + b_2_44·b_4_14·c_4_15 + b_2_44·b_4_13·c_4_15
       + b_2_45·c_4_15·b_1_22 + a_2_5·b_2_42·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_43·c_4_15·b_1_2·b_3_7 + a_2_5·b_2_43·b_4_14·c_4_15
       + a_2_5·b_2_43·b_4_13·c_4_15 + a_2_5·b_2_44·c_4_15·b_1_22 + a_2_5·b_2_45·c_4_15
       + c_4_15·a_6_192 + b_4_13·c_8_60·a_1_12·b_1_22 + a_2_52·b_2_42·c_8_60
       + a_2_52·b_2_44·c_4_15 + c_4_15·a_6_19·a_1_12·b_1_24 + b_2_4·c_4_152·b_1_26
       + b_2_4·b_4_14·c_4_152·b_1_22 + b_2_42·c_4_152·b_1_2·b_3_7 + b_2_44·c_4_152
       + a_2_5·c_4_152·b_1_26 + a_2_5·b_2_4·b_4_13·c_4_152
       + b_4_13·c_4_152·a_1_12·b_1_22 + a_2_5·c_4_152·a_6_19 + a_2_52·b_4_14·c_4_152
       + a_2_52·b_2_42·c_4_152 + c_4_153·b_1_24
  165. b_7_44·b_9_78 + b_4_14·b_1_25·b_7_44 + b_4_13·b_4_14·b_1_2·b_7_44
       + b_2_4·b_1_27·b_7_44 + b_2_4·b_4_13·b_1_23·b_7_44 + b_2_4·b_4_13·b_1_210
       + b_2_4·b_4_13·b_6_32·b_1_24 + b_2_42·b_1_25·b_7_44 + b_2_42·b_1_212
       + b_2_42·b_4_13·b_6_32·b_1_22 + b_2_43·b_1_2·b_9_78 + b_2_43·b_1_23·b_7_44
       + b_2_43·b_6_32·b_1_24 + b_2_43·b_4_14·b_1_26 + b_2_43·b_4_13·b_1_26
       + b_2_44·b_1_28 + b_2_44·b_4_14·b_1_24 + b_2_44·b_4_13·b_1_24
       + b_2_44·b_4_13·b_4_14 + b_2_45·b_1_2·b_5_23 + b_2_45·b_4_13·b_1_22
       + b_2_46·b_1_2·b_3_7 + a_6_19·b_1_23·b_7_44 + b_4_13·b_1_27·a_5_14
       + b_4_13·a_6_19·b_1_26 + a_2_5·b_4_14·b_1_210 + a_2_5·b_4_13·b_1_210
       + a_2_5·b_2_4·b_1_25·b_7_44 + a_2_5·b_2_4·b_1_212
       + a_2_5·b_2_4·b_4_13·b_1_2·b_7_44 + a_2_5·b_2_42·b_1_2·b_9_78
       + a_2_5·b_2_42·b_1_210 + a_2_5·b_2_42·b_6_32·b_1_24
       + a_2_5·b_2_42·b_4_14·b_1_26 + a_2_5·b_2_42·b_4_13·b_1_26
       + a_2_5·b_2_43·b_1_28 + a_2_5·b_2_43·b_4_14·b_1_24
       + a_2_5·b_2_43·b_4_13·b_1_24 + a_2_5·b_2_45·b_1_2·b_3_7 + a_2_5·b_2_45·b_1_24
       + b_4_13·a_6_19·a_1_1·b_1_25 + b_4_13·a_6_192 + a_2_52·b_2_42·b_8_58
       + a_2_52·b_2_44·b_4_14 + a_6_192·a_1_1·b_1_23 + c_8_60·b_1_2·b_7_44
       + b_4_13·c_4_15·b_6_32·b_1_22 + b_4_13·b_4_14·c_4_15·b_1_24
       + b_2_4·c_4_15·b_6_32·b_1_24 + b_2_4·b_4_14·c_4_15·b_1_26
       + b_2_4·b_4_13·c_8_60·b_1_22 + b_2_4·b_4_13·c_4_15·b_1_26
       + b_2_42·c_8_60·b_1_24 + b_2_43·c_8_60·b_1_22 + b_2_43·c_4_15·b_1_26
       + b_2_45·c_4_15·b_1_22 + c_4_15·a_1_1·b_1_211 + b_4_13·c_4_15·b_1_23·a_5_14
       + a_2_5·c_8_60·b_1_2·b_5_23 + a_2_5·c_4_15·b_1_2·b_9_78 + a_2_5·c_4_15·b_1_210
       + a_2_5·c_4_15·b_6_32·b_1_24 + a_2_5·b_2_4·c_8_60·b_1_24
       + a_2_5·b_2_4·c_4_15·b_6_32·b_1_22 + a_2_5·b_2_4·b_4_13·c_8_60
       + a_2_5·b_2_4·b_4_13·c_4_15·b_1_24 + a_2_5·b_2_42·c_4_15·b_1_26
       + a_2_5·b_2_43·c_4_15·b_1_24 + a_2_5·b_2_44·c_4_15·b_1_22 + c_4_15·a_6_192
       + a_2_52·b_4_14·c_8_60 + a_2_52·b_2_4·c_4_15·b_6_32 + a_2_52·b_2_42·b_4_14·c_4_15
       + b_4_13·c_8_60·a_1_13·b_1_2 + b_4_14·c_4_152·b_1_24 + b_2_4·c_4_152·b_1_26
       + b_2_4·b_4_14·c_4_152·b_1_22 + b_2_4·b_4_13·c_4_152·b_1_22
       + b_2_42·c_4_152·b_1_2·b_3_7 + b_4_13·c_4_152·a_1_1·b_1_23
       + a_2_5·c_4_152·b_1_2·b_5_23 + a_2_5·b_2_4·c_4_152·b_1_2·b_3_7
       + a_2_5·b_2_4·b_4_13·c_4_152 + c_4_15·c_8_60·a_1_12·b_1_22
       + c_4_152·a_1_12·b_1_26 + b_4_13·c_4_152·a_1_12·b_1_22
       + a_2_52·c_4_15·c_8_60 + a_2_52·b_2_42·c_4_152 + b_4_13·c_4_152·a_1_13·b_1_2
       + a_2_5·c_4_153·b_1_22 + a_2_52·c_4_153
  166. b_7_44·b_9_78 + b_4_14·b_1_25·b_7_44 + b_4_13·b_4_14·b_1_2·b_7_44
       + b_2_4·b_1_27·b_7_44 + b_2_4·b_4_13·b_1_23·b_7_44 + b_2_4·b_4_13·b_1_210
       + b_2_4·b_4_13·b_6_32·b_1_24 + b_2_42·b_1_25·b_7_44 + b_2_42·b_1_212
       + b_2_42·b_4_13·b_6_32·b_1_22 + b_2_43·b_1_2·b_9_78 + b_2_43·b_1_23·b_7_44
       + b_2_43·b_6_32·b_1_24 + b_2_43·b_4_14·b_1_26 + b_2_43·b_4_13·b_1_26
       + b_2_44·b_1_28 + b_2_44·b_4_14·b_1_24 + b_2_44·b_4_13·b_1_24
       + b_2_44·b_4_13·b_4_14 + b_2_45·b_1_2·b_5_23 + b_2_45·b_4_13·b_1_22
       + b_2_46·b_1_2·b_3_7 + a_7_29·b_9_78 + a_6_19·b_1_23·b_7_44 + a_2_5·b_1_214
       + a_2_5·b_4_14·b_1_210 + a_2_5·b_4_13·b_1_210 + a_2_5·b_4_13·b_4_14·b_1_26
       + a_2_5·b_2_4·b_4_14·b_1_28 + a_2_5·b_2_4·b_4_13·b_6_32·b_1_22
       + a_2_5·b_2_4·b_4_13·b_4_14·b_1_24 + a_2_5·b_2_42·b_6_32·b_1_24
       + a_2_5·b_2_42·b_4_13·b_1_26 + a_2_5·b_2_43·b_1_2·b_7_44 + a_2_5·b_2_43·b_1_28
       + a_2_5·b_2_43·b_4_14·b_1_24 + a_2_5·b_2_43·b_4_13·b_1_24
       + a_2_5·b_2_44·b_1_2·b_5_23 + a_2_5·b_2_44·b_4_14·b_1_22
       + a_2_5·b_2_45·b_1_2·b_3_7 + a_2_5·b_2_45·b_4_13 + a_6_19·a_1_1·b_1_29
       + a_6_192·b_1_24 + b_4_13·a_6_19·a_1_1·b_1_25 + b_4_13·a_6_192
       + a_2_52·b_2_42·b_8_58 + a_6_192·a_1_1·b_1_23 + b_4_13·a_6_19·a_1_12·b_1_24
       + c_8_60·b_1_2·b_7_44 + b_4_13·c_4_15·b_6_32·b_1_22 + b_4_13·b_4_14·c_4_15·b_1_24
       + b_2_4·c_4_15·b_6_32·b_1_24 + b_2_4·b_4_14·c_4_15·b_1_26
       + b_2_4·b_4_13·c_8_60·b_1_22 + b_2_4·b_4_13·c_4_15·b_1_26
       + b_2_42·c_8_60·b_1_24 + b_2_43·c_8_60·b_1_22 + b_2_43·c_4_15·b_1_26
       + b_2_45·c_4_15·b_1_22 + c_8_60·b_1_2·a_7_29 + b_4_13·c_4_15·b_1_23·a_5_14
       + a_2_5·c_8_60·b_1_2·b_5_23 + a_2_5·c_4_15·b_1_23·b_7_44
       + a_2_5·b_4_13·c_4_15·b_1_26 + a_2_5·b_4_13·c_4_15·b_6_32
       + a_2_5·b_2_4·c_8_60·b_1_24 + a_2_5·b_2_4·c_4_15·b_1_28
       + a_2_5·b_2_4·b_4_14·c_4_15·b_1_24 + a_2_5·b_2_42·b_4_13·c_4_15·b_1_22
       + a_2_5·b_2_43·b_4_13·c_4_15 + a_2_5·b_2_44·c_4_15·b_1_22
       + b_4_13·c_8_60·a_1_12·b_1_22 + a_2_52·c_4_15·b_8_58
       + a_2_52·b_2_4·c_4_15·b_6_32 + a_2_52·b_2_42·b_4_14·c_4_15
       + a_2_52·b_2_44·c_4_15 + b_4_13·c_4_15·a_6_19·a_1_12 + b_4_14·c_4_152·b_1_24
       + b_2_4·c_4_152·b_1_26 + b_2_4·b_4_14·c_4_152·b_1_22
       + b_2_4·b_4_13·c_4_152·b_1_22 + b_2_42·c_4_152·b_1_2·b_3_7
       + b_4_13·c_4_152·a_1_1·b_1_23 + a_2_5·c_4_15·c_8_60·b_1_22
       + a_2_5·c_4_152·b_1_2·b_5_23 + a_2_5·b_2_4·c_4_152·b_1_2·b_3_7
       + a_2_5·b_2_4·c_4_152·b_1_24 + a_2_5·b_2_42·c_4_152·b_1_22
       + c_4_152·a_1_12·b_1_26 + c_4_152·a_6_19·a_1_1·b_1_2 + a_2_52·b_2_42·c_4_152
       + c_4_152·a_6_19·a_1_12 + a_2_5·c_4_153·b_1_22 + c_4_153·a_1_12·b_1_22
  167. a_7_31·b_9_78 + a_2_5·b_1_27·b_7_44 + a_2_5·b_4_14·b_1_23·b_7_44
       + a_2_5·b_4_13·b_1_23·b_7_44 + a_2_5·b_4_13·b_1_210 + a_2_5·b_4_13·b_6_32·b_1_24
       + a_2_5·b_2_4·b_1_25·b_7_44 + a_2_5·b_2_4·b_1_212
       + a_2_5·b_2_4·b_4_14·b_1_2·b_7_44 + a_2_5·b_2_4·b_4_13·b_1_2·b_7_44
       + a_2_5·b_2_42·b_1_23·b_7_44 + a_2_5·b_2_42·b_6_32·b_1_24
       + a_2_5·b_2_42·b_4_13·b_1_26 + a_2_5·b_2_44·b_1_2·b_5_23
       + a_2_5·b_2_45·b_1_2·b_3_7 + b_4_13·a_6_19·a_1_1·b_1_25 + a_2_52·b_2_42·b_8_58
       + a_2_52·b_2_43·b_6_32 + a_2_52·b_2_44·b_4_14 + a_6_192·a_1_1·b_1_23
       + c_8_60·b_1_2·a_7_31 + c_4_15·b_1_27·a_5_14 + c_4_15·a_6_19·b_1_26
       + b_4_13·c_4_15·a_1_1·b_1_27 + a_2_5·c_8_60·b_1_2·b_5_23
       + a_2_5·c_4_15·b_1_2·b_9_78 + a_2_5·c_4_15·b_6_32·b_1_24
       + a_2_5·b_4_14·c_8_60·b_1_22 + a_2_5·b_4_14·c_4_15·b_1_26
       + a_2_5·b_4_13·c_4_15·b_1_26 + a_2_5·b_4_13·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_4·c_8_60·b_1_2·b_3_7 + a_2_5·b_2_4·b_4_13·c_4_15·b_1_24
       + a_2_5·b_2_4·b_4_13·b_4_14·c_4_15 + a_2_5·b_2_42·c_4_15·b_1_2·b_5_23
       + a_2_5·b_2_42·c_4_15·b_1_26 + a_2_5·b_2_43·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_43·c_4_15·b_1_24 + a_2_5·b_2_44·c_4_15·b_1_22 + c_4_15·a_6_192
       + b_4_13·c_8_60·a_1_12·b_1_22 + b_4_13·c_4_15·a_1_12·b_1_26
       + b_4_13·c_4_15·a_6_19·a_1_1·b_1_2 + a_2_52·c_4_15·b_8_58 + a_2_52·b_4_14·c_8_60
       + a_2_52·b_2_4·c_4_15·b_6_32 + b_4_13·c_8_60·a_1_13·b_1_2
       + b_4_13·c_4_15·a_6_19·a_1_12 + a_2_5·c_4_152·b_1_26
       + a_2_5·b_2_4·c_4_152·b_1_24 + a_2_5·b_2_42·c_4_152·b_1_22
       + c_4_152·a_1_12·b_1_26 + c_4_152·a_6_19·a_1_1·b_1_2 + a_2_52·c_4_15·c_8_60
       + a_2_52·b_4_14·c_4_152 + c_4_152·a_6_19·a_1_12 + a_2_52·c_4_153
  168. b_8_58·b_9_78 + b_4_13·b_4_14·b_1_22·b_7_44 + b_4_13·b_4_14·b_1_29
       + b_2_4·b_1_28·b_7_44 + b_2_4·b_1_215 + b_2_4·b_4_14·b_1_24·b_7_44
       + b_2_4·b_4_13·b_1_24·b_7_44 + b_2_4·b_4_13·b_4_14·b_1_27 + b_2_42·b_1_26·b_7_44
       + b_2_42·b_4_14·b_1_22·b_7_44 + b_2_42·b_4_14·b_1_29 + b_2_43·b_4_14·b_1_27
       + b_2_43·b_4_13·b_4_14·b_1_23 + b_2_44·b_9_78 + b_2_44·b_6_32·b_1_23
       + b_2_44·b_4_14·b_1_25 + b_2_44·b_4_13·b_1_25 + b_2_45·b_1_27
       + b_2_45·b_4_13·b_3_7 + b_2_46·b_5_23 + b_4_13·a_6_19·b_1_27 + b_2_46·a_5_16
       + b_2_47·a_3_8 + a_2_5·b_4_14·b_1_211 + a_2_5·b_4_13·b_1_211
       + a_2_5·b_2_4·b_1_26·b_7_44 + a_2_5·b_2_4·b_4_13·b_1_22·b_7_44
       + a_2_5·b_2_4·b_4_13·b_4_14·b_1_25 + a_2_5·b_2_42·b_1_24·b_7_44
       + a_2_5·b_2_42·b_4_13·b_6_32·b_1_2 + a_2_5·b_2_42·b_4_13·b_4_14·b_1_23
       + a_2_5·b_2_43·b_9_78 + a_2_5·b_2_43·b_1_22·b_7_44 + a_2_5·b_2_43·b_1_29
       + a_2_5·b_2_44·b_1_27 + a_2_5·b_2_44·b_6_32·b_1_2 + a_2_5·b_2_44·b_4_13·b_1_23
       + a_2_5·b_2_45·b_5_23 + a_2_5·b_2_45·b_4_14·b_1_2 + a_2_5·b_2_45·b_4_13·b_1_2
       + a_2_5·b_2_46·b_1_23 + a_6_192·b_1_25 + b_4_13·a_6_19·a_1_1·b_1_26
       + b_4_13·a_6_192·b_1_2 + b_8_58·c_8_60·b_1_2 + c_4_15·b_1_26·b_7_44
       + b_4_14·c_4_15·b_1_29 + b_4_13·b_4_14·c_4_15·b_1_25
       + b_2_4·c_4_15·b_1_24·b_7_44 + b_2_4·c_4_15·b_1_211
       + b_2_4·b_4_13·b_4_14·c_4_15·b_1_23 + b_2_42·c_8_60·b_5_23 + b_2_42·c_4_15·b_9_78
       + b_2_42·b_4_14·c_8_60·b_1_2 + b_2_42·b_4_14·c_4_15·b_1_25
       + b_2_42·b_4_13·c_8_60·b_1_2 + b_2_42·b_4_13·b_4_14·c_4_15·b_1_2
       + b_2_43·c_8_60·b_3_7 + b_2_43·c_8_60·b_1_23 + b_2_43·c_4_15·b_1_27
       + b_2_43·b_4_14·c_4_15·b_1_23 + b_2_43·b_4_13·c_4_15·b_3_7 + b_2_44·c_8_60·b_1_2
       + b_2_44·c_4_15·b_1_25 + b_2_44·b_4_13·c_4_15·b_1_2 + b_2_46·c_4_15·b_1_2
       + c_4_15·a_6_19·b_7_44 + c_4_15·a_6_19·b_1_27 + b_4_13·c_4_15·b_1_24·a_5_14
       + b_2_4·c_4_15·b_6_32·a_5_14 + b_2_43·c_4_15·a_7_29 + b_2_44·c_4_15·a_5_14
       + a_2_5·c_4_15·b_1_24·b_7_44 + a_2_5·b_4_14·c_4_15·b_7_44
       + a_2_5·b_4_14·c_4_15·b_1_27 + a_2_5·b_4_13·c_8_60·b_3_7
       + a_2_5·b_4_13·c_4_15·b_6_32·b_1_2 + a_2_5·b_4_13·b_4_14·c_4_15·b_1_23
       + a_2_5·b_2_4·c_8_60·b_5_23 + a_2_5·b_2_4·c_4_15·b_1_22·b_7_44
       + a_2_5·b_2_4·c_4_15·b_1_29 + a_2_5·b_2_4·b_4_13·b_4_14·c_4_15·b_1_2
       + a_2_5·b_2_42·c_4_15·b_7_44 + a_2_5·b_2_42·c_4_15·b_1_27
       + a_2_5·b_2_42·b_4_14·c_4_15·b_1_23 + a_2_5·b_2_42·b_4_13·c_4_15·b_1_23
       + a_2_5·b_2_44·c_4_15·b_1_23 + a_2_5·b_2_45·c_4_15·b_1_2 + c_4_15·a_6_192·b_1_2
       + b_4_13·c_8_60·a_1_12·b_1_23 + b_4_13·c_4_15·a_6_19·a_1_1·b_1_22
       + a_2_5·c_8_60·a_7_29 + c_4_15·a_6_192·a_1_1 + c_4_152·b_1_22·b_7_44
       + b_2_4·b_4_14·c_4_152·b_1_23 + b_2_43·c_4_152·b_1_23
       + c_4_152·a_1_1·b_1_28 + c_4_152·a_6_19·b_1_23 + b_2_42·c_4_152·a_5_16
       + a_2_5·c_4_152·b_7_44 + a_2_5·b_4_14·c_4_152·b_1_23
       + a_2_5·b_4_13·c_4_152·b_1_23 + a_2_5·b_2_4·c_4_15·c_8_60·b_1_2
       + a_2_5·b_2_4·c_4_152·b_5_23 + a_2_5·b_2_4·c_4_152·b_1_25
       + a_2_5·b_2_4·b_4_14·c_4_152·b_1_2 + a_2_5·b_2_42·c_4_152·b_1_23
       + a_2_5·b_2_43·c_4_152·b_1_2 + c_4_152·a_1_12·b_1_27
       + b_4_13·c_4_152·a_1_12·b_1_23 + a_2_5·b_2_42·c_4_152·a_3_8
       + c_4_15·c_8_60·a_1_12·a_3_9 + c_4_152·a_6_19·a_1_12·b_1_2
       + c_4_153·b_1_22·b_3_7 + b_2_42·c_4_153·a_1_0 + a_2_5·b_2_4·c_4_153·b_1_2
       + c_4_153·a_1_12·b_1_23
  169. b_9_782 + b_2_4·b_1_216 + b_2_42·b_4_14·b_1_210 + b_2_43·b_1_25·b_7_44
       + b_2_43·b_1_212 + b_2_43·b_4_14·b_1_2·b_7_44 + b_2_43·b_4_14·b_1_28
       + b_2_44·b_6_32·b_1_24 + b_2_44·b_4_13·b_1_26 + b_2_45·b_1_28
       + b_2_45·b_4_13·b_1_24 + b_2_47·b_1_2·b_3_7 + a_2_5·b_2_4·b_4_14·b_1_23·b_7_44
       + a_2_5·b_2_4·b_4_14·b_1_210 + a_2_5·b_2_4·b_4_13·b_6_32·b_1_24
       + a_2_5·b_2_42·b_4_14·b_1_28 + a_2_5·b_2_42·b_4_13·b_1_2·b_7_44
       + a_2_5·b_2_42·b_4_13·b_1_28 + a_2_5·b_2_42·b_4_13·b_6_32·b_1_22
       + a_2_5·b_2_42·b_4_13·b_4_14·b_1_24 + a_2_5·b_2_43·b_1_2·b_9_78
       + a_2_5·b_2_43·b_1_23·b_7_44 + a_2_5·b_2_43·b_4_14·b_1_26
       + a_2_5·b_2_43·b_4_13·b_4_14·b_1_22 + a_2_5·b_2_44·b_1_2·b_7_44
       + a_2_5·b_2_44·b_6_32·b_1_22 + a_2_5·b_2_44·b_4_14·b_1_24
       + a_2_5·b_2_44·b_4_13·b_1_24 + a_2_5·b_2_45·b_4_14·b_1_22
       + a_2_5·b_2_46·b_1_24 + a_2_5·b_2_46·b_4_13 + a_6_192·b_1_26
       + a_2_52·b_2_43·b_8_58 + b_2_4·b_4_14·c_4_15·b_1_28 + b_2_42·c_8_60·b_1_26
       + b_2_42·c_4_15·b_1_23·b_7_44 + b_2_42·c_4_15·b_1_210
       + b_2_42·b_4_14·c_8_60·b_1_22 + b_2_42·b_4_14·c_4_15·b_1_26
       + b_2_43·c_8_60·b_1_2·b_3_7 + b_2_43·c_4_15·b_1_28
       + b_2_43·b_4_13·c_4_15·b_1_24 + b_2_44·c_4_15·b_1_26
       + a_2_5·b_4_14·c_4_15·b_1_2·b_7_44 + a_2_5·b_4_13·c_4_15·b_6_32·b_1_22
       + a_2_5·b_2_4·c_8_60·b_1_26 + a_2_5·b_2_4·c_4_15·b_1_210
       + a_2_5·b_2_4·b_4_13·b_4_14·c_4_15·b_1_22 + a_2_5·b_2_42·c_4_15·b_1_2·b_7_44
       + a_2_5·b_2_42·c_4_15·b_1_28 + a_2_5·b_2_42·b_4_14·c_4_15·b_1_24
       + a_2_5·b_2_42·b_4_13·c_8_60 + a_2_5·b_2_43·c_8_60·b_1_22
       + a_2_5·b_2_43·c_4_15·b_1_2·b_5_23 + a_2_5·b_2_43·b_4_14·c_4_15·b_1_22
       + a_2_5·b_2_43·b_4_13·c_4_15·b_1_22 + a_2_5·b_2_44·c_4_15·b_1_2·b_3_7
       + a_2_5·b_2_44·c_4_15·b_1_24 + c_4_15·a_6_192·b_1_22 + a_2_52·b_6_32·c_8_60
       + a_2_52·b_2_43·b_4_14·c_4_15 + a_2_52·b_2_45·c_4_15 + c_8_602·b_1_22
       + b_2_4·c_4_15·c_8_60·b_1_24 + b_2_4·c_4_152·b_1_28
       + b_2_4·b_4_14·c_4_152·b_1_24 + b_2_42·b_4_14·c_4_152·b_1_22
       + b_2_43·c_4_152·b_1_2·b_3_7 + b_2_43·c_4_152·b_1_24
       + a_2_5·b_4_14·c_4_152·b_1_24 + a_2_5·b_2_4·b_4_13·c_4_152·b_1_22
       + a_2_5·b_2_42·c_4_152·b_1_2·b_3_7 + a_2_5·b_2_42·c_4_152·b_1_24
       + a_2_5·b_2_42·b_4_13·c_4_152 + a_2_5·b_2_43·c_4_152·b_1_22
       + c_4_15·c_8_60·a_1_12·b_1_24 + a_2_52·b_2_4·c_4_15·c_8_60
       + a_2_52·b_2_43·c_4_152 + c_4_153·a_1_12·b_1_24


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 18.
  • 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_15, a Duflot regular element of degree 4
    2. c_8_60, a Duflot regular element of degree 8
    3. b_1_24 + b_2_4·b_1_22 + b_2_42, an element of degree 4
    4. b_3_7 + b_2_4·b_1_2, an element of degree 3
  • The Raw Filter Degree Type of that HSOP is [-1, -1, 8, 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. b_1_20, an element of degree 1
  4. a_2_50, an element of degree 2
  5. b_2_40, an element of degree 2
  6. a_3_80, an element of degree 3
  7. a_3_90, an element of degree 3
  8. b_3_70, an element of degree 3
  9. b_4_130, an element of degree 4
  10. b_4_140, an element of degree 4
  11. c_4_15c_1_04, an element of degree 4
  12. a_5_140, an element of degree 5
  13. a_5_160, an element of degree 5
  14. b_5_230, an element of degree 5
  15. a_6_190, an element of degree 6
  16. b_6_320, an element of degree 6
  17. a_7_290, an element of degree 7
  18. a_7_310, an element of degree 7
  19. b_7_440, an element of degree 7
  20. b_8_580, an element of degree 8
  21. c_8_60c_1_18 + c_1_08, an element of degree 8
  22. b_9_780, an element of degree 9

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. b_1_2c_1_2, an element of degree 1
  4. a_2_50, an element of degree 2
  5. b_2_4c_1_32, an element of degree 2
  6. a_3_80, an element of degree 3
  7. a_3_90, an element of degree 3
  8. b_3_7c_1_22·c_1_3, an element of degree 3
  9. b_4_13c_1_23·c_1_3 + c_1_0·c_1_22·c_1_3 + c_1_02·c_1_22, an element of degree 4
  10. b_4_14c_1_2·c_1_33 + c_1_22·c_1_32 + c_1_23·c_1_3, an element of degree 4
  11. c_4_15c_1_2·c_1_33 + c_1_02·c_1_32 + c_1_04, an element of degree 4
  12. a_5_140, an element of degree 5
  13. a_5_160, an element of degree 5
  14. b_5_23c_1_24·c_1_3 + c_1_0·c_1_22·c_1_32 + c_1_02·c_1_2·c_1_32
       + c_1_02·c_1_22·c_1_3 + c_1_04·c_1_2, an element of degree 5
  15. a_6_190, an element of degree 6
  16. b_6_32c_1_22·c_1_34 + c_1_23·c_1_33 + c_1_24·c_1_32 + c_1_25·c_1_3
       + c_1_12·c_1_22·c_1_32 + c_1_14·c_1_32 + c_1_0·c_1_23·c_1_32
       + c_1_02·c_1_34 + c_1_02·c_1_22·c_1_32 + c_1_02·c_1_23·c_1_3, an element of degree 6
  17. a_7_290, an element of degree 7
  18. a_7_310, an element of degree 7
  19. b_7_44c_1_2·c_1_36 + c_1_26·c_1_3 + c_1_12·c_1_24·c_1_3 + c_1_14·c_1_22·c_1_3
       + c_1_02·c_1_22·c_1_33 + c_1_02·c_1_24·c_1_3, an element of degree 7
  20. b_8_58c_1_2·c_1_37 + c_1_23·c_1_35 + 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_23·c_1_33 + c_1_14·c_1_34
       + c_1_14·c_1_2·c_1_33 + c_1_0·c_1_22·c_1_35 + c_1_0·c_1_26·c_1_3
       + c_1_02·c_1_36 + c_1_02·c_1_22·c_1_34 + c_1_02·c_1_26
       + c_1_03·c_1_22·c_1_33 + c_1_04·c_1_2·c_1_33 + c_1_04·c_1_23·c_1_3
       + c_1_05·c_1_22·c_1_3 + c_1_06·c_1_22, an element of degree 8
  21. c_8_60c_1_23·c_1_35 + c_1_26·c_1_32 + c_1_27·c_1_3 + c_1_12·c_1_23·c_1_33
       + c_1_14·c_1_2·c_1_33 + c_1_14·c_1_24 + c_1_18 + c_1_0·c_1_22·c_1_35
       + c_1_02·c_1_2·c_1_35 + c_1_02·c_1_24·c_1_32 + c_1_04·c_1_22·c_1_32
       + c_1_04·c_1_23·c_1_3 + c_1_08, an element of degree 8
  22. b_9_78c_1_22·c_1_37 + c_1_24·c_1_35 + c_1_25·c_1_34 + c_1_27·c_1_32
       + c_1_12·c_1_25·c_1_32 + c_1_14·c_1_23·c_1_32 + c_1_14·c_1_25
       + c_1_18·c_1_2 + c_1_0·c_1_22·c_1_36 + c_1_0·c_1_23·c_1_35
       + c_1_0·c_1_12·c_1_24·c_1_32 + c_1_0·c_1_14·c_1_22·c_1_32
       + c_1_02·c_1_24·c_1_33 + c_1_02·c_1_12·c_1_24·c_1_3
       + c_1_02·c_1_14·c_1_22·c_1_3 + c_1_03·c_1_24·c_1_32 + c_1_04·c_1_22·c_1_33
       + c_1_05·c_1_22·c_1_32 + c_1_06·c_1_22·c_1_3 + c_1_08·c_1_2, an element of degree 9


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