Cohomology of group number 867 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 3.
  • Its center has rank 1.
  • It has 3 conjugacy classes of maximal elementary abelian subgroups, which are all of rank 3.


Structure of the cohomology ring

General information

  • The cohomology ring is of dimension 3 and depth 1.
  • The depth coincides with the Duflot bound.
  • The Poincaré series is
    ( − 1) · (t13  −  t11  +  t10  +  t9  +  t8  −  t6  +  t5  +  t2  +  1)

    (t  −  1)3 · (t2  +  1) · (t4  +  1) · (t8  +  1)
  • The a-invariants are -∞,-5,-3,-3. 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 19 minimal generators of maximal degree 16:

  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. b_2_4, an element of degree 2
  5. b_2_5, an element of degree 2
  6. a_3_4, a nilpotent element of degree 3
  7. b_3_9, an element of degree 3
  8. b_4_13, an element of degree 4
  9. b_5_16, an element of degree 5
  10. b_5_17, an element of degree 5
  11. a_9_23, a nilpotent element of degree 9
  12. b_9_37, an element of degree 9
  13. b_10_46, an element of degree 10
  14. b_10_47, an element of degree 10
  15. b_10_48, an element of degree 10
  16. b_11_56, an element of degree 11
  17. b_11_57, an element of degree 11
  18. b_13_74, an element of degree 13
  19. c_16_105, a Duflot regular element of degree 16

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

Ring relations

There are 120 minimal relations of maximal degree 26:

  1. a_1_02
  2. a_1_0·a_1_1
  3. a_1_0·b_1_22 + b_2_4·a_1_0
  4. b_2_5·a_1_1
  5. a_1_0·b_1_22 + b_2_5·a_1_0 + b_2_4·a_1_1
  6. a_1_14
  7. b_2_52 + b_2_4·b_1_22 + b_2_4·b_2_5 + b_2_42 + b_2_4·a_1_1·b_1_2
  8. a_1_0·a_3_4
  9. b_2_5·b_1_22 + b_2_52 + a_1_1·b_3_9 + a_1_1·b_1_23 + b_2_4·a_1_1·b_1_2 + a_1_1·a_3_4
       + a_1_12·b_1_22
  10. b_2_4·b_1_22 + b_2_42 + a_1_0·b_3_9 + b_2_4·a_1_1·b_1_2
  11. a_1_1·b_1_2·b_3_9 + a_1_1·b_1_24 + b_2_5·a_3_4 + b_2_4·a_3_4 + a_1_1·b_1_2·a_3_4
       + a_1_12·b_1_23 + a_1_13·b_1_22
  12. a_1_0·b_1_2·b_3_9 + b_2_4·a_3_4 + b_2_42·a_1_1
  13. b_1_22·b_3_9 + b_1_25 + b_2_4·b_3_9 + b_2_42·b_1_2 + b_1_22·a_3_4 + a_1_1·b_1_24
       + b_2_5·a_3_4 + b_2_42·a_1_1 + a_1_12·b_1_23 + a_1_12·a_3_4
  14. b_4_13·a_1_0 + b_2_4·a_3_4 + b_2_42·a_1_1 + a_1_13·b_1_22
  15. a_3_4·b_3_9 + b_1_23·a_3_4 + b_2_4·a_1_1·b_3_9 + b_2_4·a_1_0·b_3_9 + a_3_42
       + a_1_1·b_1_22·a_3_4 + a_1_12·b_1_2·a_3_4 + a_1_13·b_1_23
  16. a_3_42 + a_1_1·b_1_22·a_3_4 + b_4_13·a_1_12 + a_1_13·b_1_23 + a_1_13·a_3_4
  17. b_3_92 + b_1_26 + b_2_4·b_1_2·b_3_9 + b_2_4·b_4_13 + b_2_42·b_2_5 + b_2_4·a_1_1·b_3_9
       + b_2_42·a_1_1·b_1_2 + a_3_42 + a_1_12·b_1_24
  18. a_1_1·b_5_16 + a_1_1·b_1_25 + b_4_13·a_1_1·b_1_2 + b_2_4·a_1_1·b_3_9
       + a_1_1·b_1_22·a_3_4 + a_1_12·b_1_24 + a_1_13·a_3_4
  19. a_1_0·b_5_16 + b_2_42·a_1_1·b_1_2 + a_1_13·b_1_23
  20. a_1_0·b_5_17 + b_2_4·a_1_1·b_3_9 + b_2_4·a_1_0·b_3_9 + b_2_42·a_1_1·b_1_2
       + a_1_13·a_3_4
  21. b_1_22·b_5_16 + b_1_27 + b_4_13·b_1_23 + b_2_4·b_5_16 + b_2_4·b_4_13·b_1_2
       + b_2_43·b_1_2 + b_1_24·a_3_4 + a_1_1·b_1_26 + b_2_43·a_1_1 + a_1_12·b_1_25
       + b_4_13·a_1_13
  22. b_2_5·b_5_17 + b_2_5·b_5_16 + b_2_4·b_2_5·b_3_9 + b_2_4·b_2_5·a_3_4 + b_2_43·a_1_1
       + b_4_13·a_1_13
  23. b_2_5·b_5_16 + b_2_5·b_4_13·b_1_2 + b_2_4·b_5_17 + b_2_4·b_4_13·b_1_2 + b_2_42·b_3_9
       + b_2_42·b_2_5·b_1_2 + b_2_43·b_1_2
  24. a_3_4·b_5_16 + b_1_25·a_3_4 + b_4_13·b_1_2·a_3_4 + b_4_13·a_1_1·b_3_9
       + b_4_13·a_1_1·b_1_23 + b_2_42·a_1_1·b_3_9 + b_2_42·a_1_0·b_3_9
       + b_4_13·a_1_1·a_3_4 + a_1_12·b_1_23·a_3_4 + b_4_13·a_1_13·b_1_2
  25. b_4_13·a_1_1·b_3_9 + b_4_13·a_1_1·b_1_23 + b_2_42·a_1_1·b_3_9 + b_2_43·a_1_1·b_1_2
       + b_4_13·a_1_1·a_3_4 + b_4_13·a_1_12·b_1_22 + a_1_13·b_5_17 + b_4_13·a_1_13·b_1_2
  26. b_4_13·a_1_13·b_1_22
  27. b_5_162 + b_1_210 + b_4_132·b_1_22 + b_2_4·b_4_132 + b_2_44·b_2_5
       + b_2_44·a_1_1·b_1_2 + a_1_1·b_1_26·a_3_4 + a_1_12·b_1_28
       + b_4_13·a_1_12·b_1_24
  28. b_5_16·b_5_17 + b_1_25·b_5_17 + b_4_13·b_1_2·b_5_17 + b_4_13·b_1_2·b_5_16
       + b_4_13·b_1_26 + b_4_132·b_1_22 + b_2_5·b_4_132 + b_2_4·b_3_9·b_5_16
       + b_2_4·b_4_13·b_1_2·b_3_9 + b_2_42·b_1_2·b_5_16 + b_2_43·b_1_2·b_3_9
       + b_2_43·b_4_13 + b_2_44·b_2_5 + b_2_45 + b_1_22·a_3_4·b_5_17 + a_1_1·b_1_24·b_5_17
       + b_4_13·b_1_23·a_3_4 + b_4_13·a_1_1·b_1_25 + b_2_44·a_1_1·b_1_2
       + a_1_12·b_1_23·b_5_17 + b_4_13·a_1_12·b_1_24
  29. a_1_1·a_9_23 + a_1_1·b_1_2·a_3_4·b_5_17 + b_4_13·a_1_12·b_1_24
       + a_1_12·a_3_4·b_5_17 + a_1_12·b_1_25·a_3_4
  30. a_1_0·a_9_23
  31. b_5_172 + b_4_13·b_1_26 + b_2_5·b_4_132 + b_2_4·b_4_132 + b_2_43·b_1_2·b_3_9
       + b_1_27·a_3_4 + a_1_1·b_9_37 + a_1_1·b_1_24·b_5_17 + b_4_13·a_1_1·b_5_17
       + b_4_13·a_1_1·b_1_25 + b_4_132·a_1_1·b_1_2 + b_2_43·a_1_0·b_3_9
       + b_2_44·a_1_1·b_1_2 + a_1_1·b_1_2·a_3_4·b_5_17 + a_1_12·b_1_28
       + b_4_13·a_1_1·b_1_22·a_3_4 + b_4_13·a_1_12·b_1_2·a_3_4
  32. a_1_0·b_9_37 + b_2_43·a_1_1·b_3_9 + b_2_44·a_1_1·b_1_2 + b_4_13·a_1_13·a_3_4
  33. b_1_22·a_9_23 + b_1_23·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_26 + b_2_4·a_9_23
       + b_2_45·a_1_1 + a_1_1·b_1_22·a_3_4·b_5_17 + a_1_1·b_1_27·a_3_4 + a_1_12·b_1_29
       + a_1_12·b_1_26·a_3_4 + b_4_13·a_1_12·b_1_22·a_3_4
  34. b_2_5·b_9_37 + b_2_5·b_4_132·b_1_2 + b_2_42·b_2_5·b_4_13·b_1_2 + b_2_43·b_2_5·b_3_9
       + b_2_45·a_1_1
  35. b_2_4·b_9_37 + b_2_4·b_1_2·b_3_9·b_5_17 + b_2_4·b_1_2·b_3_9·b_5_16
       + b_2_4·b_4_132·b_1_2 + b_2_4·b_2_5·b_4_13·b_3_9 + b_2_42·b_4_13·b_3_9
       + b_2_43·b_5_17 + b_2_43·b_5_16 + b_2_44·b_3_9 + b_2_44·b_2_5·b_1_2 + b_2_45·b_1_2
       + b_1_22·a_9_23 + b_1_23·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_26 + b_2_5·a_9_23
       + b_2_45·a_1_1 + a_1_1·b_1_22·a_3_4·b_5_17 + a_1_1·b_1_27·a_3_4 + a_1_12·b_1_29
       + a_1_12·b_1_26·a_3_4 + b_4_13·a_1_12·b_1_22·a_3_4
  36. b_2_4·b_1_2·b_3_9·b_5_17 + b_2_4·b_1_2·b_3_9·b_5_16 + b_2_4·b_2_5·b_4_13·b_3_9
       + b_2_42·b_4_13·b_3_9 + b_2_43·b_4_13·b_1_2 + b_2_44·b_3_9 + b_2_44·b_2_5·b_1_2
       + b_2_45·b_1_2 + b_1_22·a_9_23 + b_1_23·a_3_4·b_5_17 + a_1_1·b_1_2·b_9_37
       + a_1_1·b_1_210 + b_10_46·a_1_1 + b_2_5·a_9_23 + b_2_43·b_2_5·a_3_4 + b_2_45·a_1_1
       + b_4_13·a_1_1·b_1_23·a_3_4 + b_4_13·a_1_12·b_1_25 + a_1_12·b_1_2·a_3_4·b_5_17
       + a_1_12·b_1_26·a_3_4 + b_4_132·a_1_13
  37. b_2_4·b_1_2·b_3_9·b_5_16 + b_2_42·b_2_5·b_4_13·b_1_2 + b_2_43·b_5_17
       + b_2_43·b_4_13·b_1_2 + b_2_43·b_2_5·b_3_9 + b_2_44·b_2_5·b_1_2 + b_2_45·b_1_2
       + b_1_22·a_9_23 + b_1_23·a_3_4·b_5_17 + b_10_46·a_1_0 + b_4_13·a_1_1·b_1_26
       + b_2_43·b_2_5·a_3_4 + b_2_45·a_1_1 + a_1_1·b_1_22·a_3_4·b_5_17
       + a_1_1·b_1_27·a_3_4 + a_1_12·b_1_29 + a_1_12·b_1_26·a_3_4
       + b_4_13·a_1_12·b_1_22·a_3_4 + b_4_13·a_1_13·b_1_2·a_3_4
  38. b_2_4·b_1_2·b_3_9·b_5_17 + b_2_4·b_1_2·b_3_9·b_5_16 + b_2_4·b_2_5·b_4_13·b_3_9
       + b_2_42·b_4_13·b_3_9 + b_2_43·b_4_13·b_1_2 + b_2_44·b_3_9 + b_2_44·b_2_5·b_1_2
       + b_2_45·b_1_2 + b_1_22·a_9_23 + b_1_23·a_3_4·b_5_17 + a_1_1·b_1_2·b_9_37
       + a_1_1·b_1_25·b_5_17 + a_1_1·b_1_210 + b_10_47·a_1_1 + b_4_13·a_1_1·b_1_2·b_5_17
       + b_4_13·a_1_1·b_1_26 + b_4_132·a_1_1·b_1_22 + b_2_5·a_9_23 + b_2_44·a_3_4
       + b_2_45·a_1_1 + a_1_1·b_1_22·a_3_4·b_5_17 + a_1_1·b_1_27·a_3_4 + a_1_12·b_9_37
       + a_1_12·b_1_24·b_5_17 + b_4_13·a_1_1·b_1_23·a_3_4 + b_4_13·a_1_12·b_1_25
       + b_4_13·a_1_12·b_1_22·a_3_4 + b_4_13·a_1_13·b_1_2·a_3_4
  39. b_2_4·b_1_2·b_3_9·b_5_17 + b_2_4·b_1_2·b_3_9·b_5_16 + b_2_4·b_2_5·b_4_13·b_3_9
       + b_2_42·b_4_13·b_3_9 + b_2_43·b_4_13·b_1_2 + b_2_44·b_3_9 + b_2_44·b_2_5·b_1_2
       + b_2_45·b_1_2 + b_1_22·a_9_23 + b_1_23·a_3_4·b_5_17 + b_10_47·a_1_0
       + b_4_13·a_1_1·b_1_26 + b_2_5·a_9_23 + b_2_43·b_2_5·a_3_4 + b_2_44·a_3_4
       + b_2_45·a_1_1 + a_1_1·b_1_22·a_3_4·b_5_17 + a_1_1·b_1_27·a_3_4 + a_1_12·b_1_29
       + a_1_12·b_1_26·a_3_4 + b_4_13·a_1_12·b_1_22·a_3_4
  40. b_1_22·b_9_37 + b_4_13·b_1_22·b_5_17 + b_4_13·b_1_27 + b_4_132·b_1_23
       + b_2_4·b_1_2·b_3_9·b_5_17 + b_2_4·b_1_2·b_3_9·b_5_16 + b_2_4·b_4_13·b_5_17
       + b_2_4·b_2_5·b_4_13·b_3_9 + b_2_42·b_4_13·b_3_9 + b_2_43·b_5_17 + b_2_43·b_5_16
       + b_2_43·b_4_13·b_1_2 + b_2_44·b_3_9 + b_2_44·b_2_5·b_1_2 + b_2_45·b_1_2
       + b_1_22·a_9_23 + a_1_1·b_1_210 + b_10_48·a_1_1 + b_4_13·b_1_24·a_3_4
       + b_4_13·a_1_1·b_1_2·b_5_17 + b_4_132·a_3_4 + b_2_5·a_9_23 + b_2_43·b_2_5·a_3_4
       + b_2_44·a_3_4 + a_1_1·b_1_22·a_3_4·b_5_17 + a_1_1·b_1_27·a_3_4 + a_1_12·b_1_29
       + b_4_13·a_1_1·b_1_23·a_3_4 + a_1_12·b_1_2·a_3_4·b_5_17
  41. b_2_4·b_1_2·b_3_9·b_5_17 + b_2_4·b_2_5·b_4_13·b_3_9 + b_2_42·b_4_13·b_3_9
       + b_2_42·b_2_5·b_4_13·b_1_2 + b_2_43·b_5_17 + b_2_43·b_2_5·b_3_9 + b_2_44·b_3_9
       + b_10_48·a_1_0 + b_2_5·a_9_23 + b_2_43·b_2_5·a_3_4 + b_2_44·a_3_4
       + b_4_13·a_1_13·b_1_2·a_3_4
  42. a_3_4·a_9_23 + a_1_1·b_1_23·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_24·a_3_4
       + b_4_13·a_1_12·b_1_2·b_5_17 + a_1_12·b_1_22·a_3_4·b_5_17 + b_4_13·a_1_13·b_5_17
  43. a_1_13·b_9_37 + b_4_132·a_1_13·b_1_2
  44. b_2_5·b_10_47 + b_2_4·b_4_13·b_1_2·b_5_17 + b_2_4·b_4_13·b_1_2·b_5_16
       + b_2_42·b_3_9·b_5_17 + b_2_42·b_4_132 + b_2_43·b_1_2·b_5_16 + b_2_44·b_4_13
       + b_3_9·a_9_23 + b_1_24·a_3_4·b_5_17 + b_10_47·a_1_0·b_1_2 + b_4_13·a_1_1·b_1_27
       + b_2_4·b_1_2·a_9_23 + b_2_44·a_1_1·b_3_9 + b_2_45·a_1_1·b_1_2
       + a_1_1·b_1_23·a_3_4·b_5_17 + a_1_1·b_1_28·a_3_4 + a_1_12·b_1_210
       + b_4_13·a_1_1·b_1_24·a_3_4 + b_4_13·a_1_12·b_1_2·b_5_17 + b_4_13·a_1_12·b_1_26
       + a_1_12·b_1_22·a_3_4·b_5_17 + b_4_13·a_1_12·b_1_23·a_3_4
  45. b_2_5·b_10_46 + b_2_4·b_10_47 + b_2_4·b_10_46 + b_2_4·b_4_13·b_1_2·b_5_16
       + b_2_4·b_2_5·b_4_132 + b_2_42·b_4_13·b_1_2·b_3_9 + b_2_43·b_2_5·b_1_2·b_3_9
       + b_10_46·a_1_0·b_1_2 + b_2_5·b_1_2·a_9_23 + b_2_4·b_1_2·a_9_23 + b_4_13·a_1_13·b_5_17
       + b_4_132·a_1_13·b_1_2
  46. b_3_9·b_9_37 + b_1_212 + b_10_46·b_1_22 + b_4_13·b_3_9·b_5_17
       + b_4_13·b_1_23·b_5_17 + b_4_13·b_1_28 + b_2_5·b_10_48 + b_2_5·b_10_46 + b_2_4·b_10_46
       + b_2_4·b_4_13·b_1_2·b_5_16 + b_2_4·b_2_5·b_4_132 + b_2_42·b_3_9·b_5_17
       + b_2_43·b_1_2·b_5_16 + b_2_43·b_2_5·b_1_2·b_3_9 + b_2_43·b_2_5·b_4_13
       + b_2_44·b_1_2·b_3_9 + b_2_45·b_2_5 + b_3_9·a_9_23 + a_3_4·b_9_37 + b_1_29·a_3_4
       + b_10_46·a_1_1·b_1_2 + b_4_13·a_3_4·b_5_17 + b_4_13·b_1_25·a_3_4
       + b_4_13·a_1_1·b_1_22·b_5_17 + b_4_13·a_1_1·b_1_27 + b_2_5·b_1_2·a_9_23
       + b_2_45·a_1_1·b_1_2 + a_1_1·b_1_23·a_3_4·b_5_17 + a_1_12·b_1_210
       + b_4_13·a_1_1·b_1_24·a_3_4 + b_4_13·a_1_12·b_1_2·b_5_17
       + a_1_12·b_1_22·a_3_4·b_5_17 + b_4_13·a_1_13·b_5_17 + b_4_132·a_1_13·b_1_2
  47. b_1_212 + b_10_46·b_1_22 + b_4_13·b_1_23·b_5_17 + b_4_132·b_1_24 + b_2_4·b_10_46
       + b_2_4·b_4_13·b_1_2·b_5_17 + b_2_4·b_4_13·b_1_2·b_5_16 + b_2_42·b_4_132
       + b_2_43·b_1_2·b_5_17 + b_2_43·b_1_2·b_5_16 + b_2_44·b_1_2·b_3_9 + b_2_46
       + b_3_9·a_9_23 + b_1_24·a_3_4·b_5_17 + b_1_29·a_3_4 + b_10_48·a_1_1·b_1_2
       + b_4_13·a_1_1·b_1_22·b_5_17 + b_4_13·a_1_1·b_1_27 + b_4_132·b_1_2·a_3_4
       + b_2_5·b_1_2·a_9_23 + b_2_4·b_1_2·a_9_23 + b_2_44·a_1_1·b_3_9 + a_1_1·b_1_28·a_3_4
       + b_4_13·a_1_1·b_1_24·a_3_4 + b_4_13·a_1_12·b_1_2·b_5_17
       + b_4_132·a_1_12·b_1_22 + a_1_12·b_1_27·a_3_4
  48. b_3_9·b_9_37 + b_1_27·b_5_17 + b_1_212 + b_10_47·b_1_22 + b_4_13·b_1_23·b_5_17
       + b_4_132·b_1_2·b_3_9 + b_2_5·b_10_46 + b_2_4·b_10_46 + b_2_4·b_4_13·b_1_2·b_5_17
       + b_2_4·b_4_13·b_1_2·b_5_16 + b_2_4·b_2_5·b_4_132 + b_2_42·b_3_9·b_5_17
       + b_2_43·b_2_5·b_4_13 + b_2_44·b_4_13 + b_2_45·b_2_5 + a_3_4·b_9_37
       + b_10_47·a_1_1·b_1_2 + b_4_13·b_1_25·a_3_4 + b_4_132·b_1_2·a_3_4
       + b_4_132·a_1_1·b_1_23 + b_2_5·b_1_2·a_9_23 + b_2_44·a_1_1·b_3_9
       + b_2_44·a_1_0·b_3_9 + b_2_45·a_1_1·b_1_2 + a_1_1·b_1_23·a_3_4·b_5_17
       + a_1_1·b_1_28·a_3_4 + b_10_48·a_1_12 + b_10_47·a_1_12 + b_4_132·a_1_1·a_3_4
       + b_4_132·a_1_12·b_1_22 + b_4_13·a_1_13·b_5_17
  49. b_4_13·b_3_9·b_5_16 + b_4_13·b_1_28 + b_4_132·b_1_2·b_3_9 + b_2_5·b_10_46
       + b_2_4·b_10_48 + b_2_4·b_4_13·b_1_2·b_5_17 + b_2_4·b_4_13·b_1_2·b_5_16
       + b_2_4·b_2_5·b_4_132 + b_2_42·b_4_132 + b_2_44·b_4_13 + b_2_45·b_2_5 + b_2_46
       + b_3_9·a_9_23 + b_1_24·a_3_4·b_5_17 + b_10_46·a_1_0·b_1_2 + b_4_13·a_1_1·b_1_27
       + a_1_1·b_1_23·a_3_4·b_5_17 + a_1_1·b_1_28·a_3_4 + a_1_12·b_1_210
       + b_4_13·a_1_12·b_1_2·b_5_17 + b_4_132·a_1_12·b_1_22
       + a_1_12·b_1_22·a_3_4·b_5_17 + b_4_13·a_1_13·b_5_17
  50. b_3_9·b_9_37 + b_1_27·b_5_17 + b_10_47·b_1_22 + b_10_46·b_1_22
       + b_4_132·b_1_2·b_3_9 + b_4_132·b_1_24 + b_2_5·b_10_46 + b_2_4·b_2_5·b_4_132
       + b_2_42·b_3_9·b_5_17 + b_2_42·b_4_132 + b_2_43·b_1_2·b_5_17
       + b_2_43·b_1_2·b_5_16 + b_2_43·b_2_5·b_4_13 + b_2_44·b_1_2·b_3_9 + b_2_44·b_4_13
       + b_2_45·b_2_5 + b_2_46 + b_3_9·a_9_23 + b_1_24·a_3_4·b_5_17 + b_1_29·a_3_4
       + a_1_1·b_11_56 + b_10_46·a_1_1·b_1_2 + b_4_13·a_3_4·b_5_17
       + b_4_13·a_1_1·b_1_22·b_5_17 + b_4_13·a_1_1·b_1_27 + b_4_132·b_1_2·a_3_4
       + b_2_4·b_1_2·a_9_23 + b_2_44·a_1_0·b_3_9 + a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_2·b_5_17 + b_4_132·a_1_1·a_3_4 + a_1_12·b_1_22·a_3_4·b_5_17
       + b_4_132·a_1_13·b_1_2
  51. a_1_0·b_11_56 + b_2_44·a_1_0·b_3_9 + b_2_45·a_1_1·b_1_2
  52. b_3_9·b_9_37 + b_1_212 + b_10_46·b_1_22 + b_4_13·b_1_28 + b_4_132·b_1_2·b_3_9
       + b_4_132·b_1_24 + b_2_4·b_10_46 + b_2_4·b_4_13·b_1_2·b_5_16 + b_2_42·b_3_9·b_5_17
       + b_2_42·b_4_13·b_1_2·b_3_9 + b_2_42·b_4_132 + b_2_43·b_1_2·b_5_16
       + b_2_43·b_2_5·b_1_2·b_3_9 + b_2_43·b_2_5·b_4_13 + b_2_44·b_1_2·b_3_9
       + b_2_45·b_2_5 + b_3_9·a_9_23 + a_3_4·b_9_37 + b_1_29·a_3_4 + a_1_1·b_11_57
       + b_10_47·a_1_1·b_1_2 + b_10_46·a_1_1·b_1_2 + b_10_46·a_1_0·b_1_2
       + b_4_13·b_1_25·a_3_4 + b_4_13·a_1_1·b_1_27 + b_4_132·b_1_2·a_3_4
       + b_4_132·a_1_1·b_1_23 + b_2_5·b_1_2·a_9_23 + b_2_44·a_1_1·b_3_9
       + b_2_44·a_1_0·b_3_9 + a_1_1·b_1_28·a_3_4 + a_1_12·b_1_210 + b_10_46·a_1_12
       + b_4_13·a_1_1·b_1_24·a_3_4 + b_4_13·a_1_12·b_1_23·a_3_4
  53. b_2_5·b_10_47 + b_2_4·b_4_13·b_1_2·b_5_17 + b_2_42·b_3_9·b_5_17 + b_2_42·b_4_132
       + b_2_43·b_1_2·b_5_17 + b_2_44·b_1_2·b_3_9 + b_2_44·b_4_13 + a_1_0·b_11_57
       + b_2_5·b_1_2·a_9_23 + b_2_45·a_1_1·b_1_2 + b_4_13·a_1_13·b_5_17
  54. b_2_5·b_11_56 + b_2_4·b_2_5·b_4_132·b_1_2 + b_2_44·b_5_17 + b_2_44·b_4_13·b_1_2
       + b_2_45·b_3_9 + b_2_45·b_2_5·b_1_2 + b_2_46·b_1_2 + b_2_44·b_2_5·a_3_4
       + b_2_45·a_3_4 + b_2_46·a_1_1 + b_10_48·a_1_13
  55. b_1_22·b_11_56 + b_10_48·b_3_9 + b_10_47·b_3_9 + b_10_46·b_3_9 + b_4_132·b_5_16
       + b_4_133·b_1_2 + b_2_5·b_10_48·b_1_2 + b_2_5·b_4_132·b_3_9 + b_2_4·b_10_47·b_1_2
       + b_2_4·b_10_46·b_1_2 + b_2_44·b_5_17 + b_2_45·b_3_9 + b_1_210·a_3_4
       + b_10_46·a_1_1·b_1_22 + b_4_13·a_1_1·b_1_23·b_5_17 + b_4_132·b_1_22·a_3_4
       + b_4_133·a_1_1 + b_2_44·b_2_5·a_3_4 + a_1_1·b_1_24·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_2 + b_10_46·a_1_12·b_1_2 + b_4_13·a_1_1·a_3_4·b_5_17
       + b_4_132·a_1_1·b_1_2·a_3_4 + a_1_12·b_1_23·a_3_4·b_5_17 + a_1_12·b_1_28·a_3_4
       + b_4_13·a_1_12·b_1_24·a_3_4 + b_4_132·a_1_12·a_3_4
  56. b_2_4·b_10_48·b_1_2 + b_2_4·b_10_47·b_1_2 + b_2_4·b_10_46·b_1_2 + b_2_4·b_4_132·b_3_9
       + b_2_4·b_2_5·b_4_132·b_1_2 + b_2_42·b_2_5·b_4_13·b_3_9 + b_2_43·b_4_13·b_3_9
       + b_2_43·b_2_5·b_4_13·b_1_2 + b_2_44·b_4_13·b_1_2 + b_2_44·b_2_5·b_3_9
       + b_2_45·b_2_5·b_1_2 + b_2_46·b_1_2 + b_1_2·b_3_9·a_9_23 + b_1_25·a_3_4·b_5_17
       + b_1_210·a_3_4 + a_1_1·b_1_2·b_11_56 + b_10_48·a_1_1·b_1_22
       + b_10_47·a_1_1·b_1_22 + b_10_46·a_3_4 + b_10_46·a_1_1·b_1_22 + b_4_13·a_9_23
       + b_4_13·a_1_1·b_1_28 + b_4_132·b_1_22·a_3_4 + b_2_4·b_10_46·a_1_1
       + b_2_4·b_2_5·a_9_23 + b_2_42·a_9_23 + b_2_44·b_2_5·a_3_4 + a_1_1·b_1_29·a_3_4
       + b_10_48·a_1_12·b_1_2 + b_10_47·a_1_12·b_1_2 + b_10_46·a_1_12·b_1_2
       + b_4_13·a_1_1·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_25·a_3_4
       + b_4_13·a_1_12·b_1_22·b_5_17 + b_4_13·a_1_12·b_1_27
       + a_1_12·b_1_23·a_3_4·b_5_17 + a_1_12·b_1_28·a_3_4 + b_4_13·a_1_13·b_1_2·b_5_17
       + b_4_132·a_1_12·a_3_4
  57. b_10_48·b_3_9 + b_10_48·b_1_23 + b_10_47·b_3_9 + b_10_47·b_1_23 + b_10_46·b_3_9
       + b_10_46·b_1_23 + b_4_132·b_5_16 + b_4_132·b_1_25 + b_4_133·b_1_2
       + b_2_5·b_10_48·b_1_2 + b_2_4·b_10_48·b_1_2 + b_2_4·b_4_132·b_3_9
       + b_2_42·b_2_5·b_4_13·b_3_9 + b_2_43·b_4_13·b_3_9 + b_2_43·b_2_5·b_4_13·b_1_2
       + b_2_44·b_2_5·b_3_9 + b_2_45·b_3_9 + b_10_48·a_3_4 + b_10_48·a_1_1·b_1_22
       + b_10_47·a_3_4 + b_10_47·a_1_1·b_1_22 + b_10_46·a_3_4 + b_10_46·a_1_1·b_1_22
       + b_4_132·b_1_22·a_3_4 + b_4_132·a_1_1·b_1_24 + b_2_4·b_10_46·a_1_1
       + b_2_45·a_3_4 + a_1_12·b_11_56 + a_1_12·b_1_28·a_3_4
  58. b_2_5·b_4_132·b_3_9 + b_2_4·b_11_56 + b_2_4·b_4_132·b_3_9 + b_2_42·b_4_132·b_1_2
       + b_2_42·b_2_5·b_4_13·b_3_9 + b_2_43·b_4_13·b_3_9 + b_2_43·b_2_5·b_4_13·b_1_2
       + b_2_44·b_5_17 + b_2_44·b_2_5·b_3_9 + b_2_44·b_2_5·a_3_4 + b_2_46·a_1_1
  59. b_10_48·b_3_9 + b_10_48·b_1_23 + b_4_132·b_5_16 + b_4_132·b_1_25 + b_4_133·b_1_2
       + b_2_5·b_11_57 + b_2_4·b_10_48·b_1_2 + b_2_4·b_4_132·b_3_9
       + b_2_4·b_2_5·b_4_132·b_1_2 + b_2_42·b_4_13·b_5_17 + b_2_43·b_4_13·b_3_9
       + b_2_43·b_2_5·b_4_13·b_1_2 + b_2_44·b_5_16 + b_2_44·b_4_13·b_1_2
       + b_2_44·b_2_5·b_3_9 + b_2_45·b_3_9 + b_2_45·b_2_5·b_1_2 + b_2_46·b_1_2
       + b_1_25·a_3_4·b_5_17 + b_10_48·a_3_4 + b_10_48·a_1_1·b_1_22 + b_10_47·a_3_4
       + b_10_46·a_3_4 + b_4_13·a_9_23 + b_4_13·b_1_26·a_3_4 + b_2_4·b_10_46·a_1_0
       + b_2_4·b_2_5·a_9_23 + b_2_44·b_2_5·a_3_4 + b_2_45·a_3_4 + b_2_46·a_1_1
       + a_1_1·b_1_29·a_3_4 + b_10_48·a_1_12·b_1_2 + b_4_13·a_1_12·b_1_22·b_5_17
       + b_4_132·a_1_1·b_1_2·a_3_4 + b_4_132·a_1_12·b_1_23 + b_10_48·a_1_13
       + b_4_132·a_1_12·a_3_4
  60. b_1_22·b_11_57 + b_10_47·b_1_23 + b_10_46·b_3_9 + b_10_46·b_1_23
       + b_2_5·b_4_132·b_3_9 + b_2_4·b_10_48·b_1_2 + b_2_42·b_4_13·b_5_17
       + b_2_43·b_2_5·b_4_13·b_1_2 + b_2_44·b_5_16 + b_2_44·b_4_13·b_1_2
       + b_2_44·b_2_5·b_3_9 + b_1_2·b_3_9·a_9_23 + b_1_25·a_3_4·b_5_17 + b_1_210·a_3_4
       + b_10_47·a_3_4 + b_4_13·b_1_2·a_3_4·b_5_17 + b_4_13·b_1_26·a_3_4
       + b_4_13·a_1_1·b_1_28 + b_4_132·b_1_22·a_3_4 + b_4_132·a_1_1·b_1_24
       + b_2_4·b_10_46·a_1_1 + b_2_4·b_10_46·a_1_0 + b_2_4·b_2_5·a_9_23 + b_2_44·b_2_5·a_3_4
       + b_2_46·a_1_1 + b_10_48·a_1_12·b_1_2 + b_4_13·a_1_1·b_1_25·a_3_4
       + a_1_12·b_1_23·a_3_4·b_5_17 + b_10_48·a_1_13 + b_4_13·a_1_12·b_1_24·a_3_4
       + b_4_13·a_1_13·b_1_2·b_5_17 + b_4_132·a_1_12·a_3_4
  61. b_10_48·b_3_9 + b_10_48·b_1_23 + b_10_47·b_3_9 + b_10_47·b_1_23 + b_10_46·b_3_9
       + b_10_46·b_1_23 + b_4_132·b_5_16 + b_4_132·b_1_25 + b_4_133·b_1_2
       + b_2_5·b_10_48·b_1_2 + b_2_4·b_10_47·b_1_2 + b_2_4·b_10_46·b_1_2
       + b_2_4·b_2_5·b_4_132·b_1_2 + b_2_44·b_4_13·b_1_2 + b_2_45·b_3_9
       + b_2_45·b_2_5·b_1_2 + b_2_46·b_1_2 + b_1_2·b_3_9·a_9_23 + a_1_1·b_1_2·b_11_57
       + b_10_48·a_3_4 + b_10_48·a_1_1·b_1_22 + b_10_46·a_1_1·b_1_22 + b_4_13·a_9_23
       + b_4_13·b_1_26·a_3_4 + b_4_13·a_1_1·b_1_28 + b_2_4·b_2_5·a_9_23 + b_2_42·a_9_23
       + b_2_44·b_2_5·a_3_4 + a_1_1·b_1_29·a_3_4 + b_10_48·a_1_12·b_1_2
       + b_10_47·a_1_12·b_1_2 + b_10_46·a_1_12·b_1_2 + b_4_13·a_1_1·b_1_25·a_3_4
       + b_4_13·a_1_12·b_1_22·b_5_17 + b_4_13·a_1_12·b_1_27
       + b_4_132·a_1_1·b_1_2·a_3_4 + b_4_132·a_1_12·b_1_23
       + a_1_12·b_1_23·a_3_4·b_5_17 + a_1_12·b_1_28·a_3_4 + b_4_13·a_1_12·b_1_24·a_3_4
  62. b_2_4·b_10_48·b_1_2 + b_2_4·b_10_47·b_1_2 + b_2_4·b_10_46·b_1_2 + b_2_4·b_4_132·b_3_9
       + b_2_4·b_2_5·b_4_132·b_1_2 + b_2_42·b_2_5·b_4_13·b_3_9 + b_2_43·b_4_13·b_3_9
       + b_2_43·b_2_5·b_4_13·b_1_2 + b_2_44·b_4_13·b_1_2 + b_2_44·b_2_5·b_3_9
       + b_2_45·b_2_5·b_1_2 + b_2_46·b_1_2 + b_1_2·b_3_9·a_9_23 + b_1_25·a_3_4·b_5_17
       + a_1_0·b_1_2·b_11_57 + b_4_13·a_9_23 + b_4_13·b_1_2·a_3_4·b_5_17
       + b_4_13·a_1_1·b_1_28 + b_4_132·a_1_1·b_1_24 + b_2_4·b_2_5·a_9_23 + b_2_42·a_9_23
       + a_1_1·b_1_24·a_3_4·b_5_17 + a_1_1·b_1_29·a_3_4 + b_10_46·a_1_12·b_1_2
       + b_4_13·a_1_1·a_3_4·b_5_17 + b_4_132·a_1_12·b_1_23
       + a_1_12·b_1_23·a_3_4·b_5_17 + a_1_12·b_1_28·a_3_4 + b_4_13·a_1_13·b_1_2·b_5_17
  63. b_10_48·b_3_9 + b_10_48·b_1_23 + b_10_47·b_3_9 + b_10_47·b_1_23 + b_4_132·b_5_16
       + b_4_132·b_1_25 + b_4_133·b_1_2 + b_2_5·b_10_48·b_1_2 + b_2_5·b_4_132·b_3_9
       + b_2_4·b_11_57 + b_2_4·b_10_47·b_1_2 + b_2_4·b_4_132·b_3_9 + b_2_42·b_4_13·b_5_17
       + b_2_42·b_2_5·b_4_13·b_3_9 + b_2_43·b_4_13·b_3_9 + b_2_44·b_5_16
       + b_2_44·b_4_13·b_1_2 + b_2_45·b_3_9 + b_1_2·b_3_9·a_9_23 + b_10_48·a_3_4
       + b_10_48·a_1_1·b_1_22 + b_10_47·a_1_1·b_1_22 + b_10_46·a_3_4
       + b_4_13·b_1_2·a_3_4·b_5_17 + b_4_13·b_1_26·a_3_4 + b_4_13·a_1_1·b_1_28
       + b_4_132·a_1_1·b_1_24 + b_2_4·b_10_46·a_1_1 + b_2_4·b_10_46·a_1_0
       + b_2_4·b_2_5·a_9_23 + b_2_44·b_2_5·a_3_4 + a_1_1·b_1_24·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_2 + b_10_47·a_1_12·b_1_2 + b_10_46·a_1_12·b_1_2
       + b_4_13·a_1_1·a_3_4·b_5_17 + b_4_13·a_1_12·b_1_22·b_5_17
       + b_4_132·a_1_1·b_1_2·a_3_4 + b_4_13·a_1_12·b_1_24·a_3_4
       + b_4_13·a_1_13·b_1_2·b_5_17 + b_4_132·a_1_12·a_3_4
  64. b_5_16·b_9_37 + b_4_13·b_1_2·b_9_37 + b_4_13·b_1_25·b_5_17 + b_4_13·b_1_210
       + b_4_132·b_1_2·b_5_16 + b_4_133·b_1_22 + b_2_43·b_4_132 + b_2_44·b_1_2·b_5_17
       + b_2_44·b_2_5·b_1_2·b_3_9 + b_2_45·b_4_13 + b_2_46·b_2_5 + b_2_47 + b_5_16·a_9_23
       + b_10_48·a_1_1·b_1_23 + b_10_46·a_1_1·b_1_23 + b_4_13·a_1_1·b_1_24·b_5_17
       + b_4_13·a_1_1·b_1_29 + b_4_132·b_1_23·a_3_4 + b_2_5·b_3_9·a_9_23
       + b_2_4·b_3_9·a_9_23 + b_2_4·b_10_46·a_1_1·b_1_2 + b_2_4·b_10_46·a_1_0·b_1_2
       + b_2_42·b_1_2·a_9_23 + b_2_45·a_1_1·b_3_9 + b_2_45·a_1_0·b_3_9
       + a_1_12·b_1_2·b_11_56 + b_10_48·a_1_1·a_3_4 + b_10_48·a_1_12·b_1_22
       + b_10_47·a_1_1·a_3_4 + b_10_47·a_1_12·b_1_22 + b_10_46·a_1_12·b_1_22
       + b_4_13·a_1_1·b_1_26·a_3_4 + b_4_13·a_1_12·b_1_23·b_5_17
       + b_4_132·a_1_1·b_1_22·a_3_4 + b_4_133·a_1_12 + a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_13·a_1_12·a_3_4·b_5_17 + b_4_132·a_1_12·b_1_2·a_3_4
  65. b_5_16·b_9_37 + b_4_13·b_1_2·b_9_37 + b_4_13·b_1_25·b_5_17 + b_4_13·b_1_210
       + b_4_132·b_1_2·b_5_16 + b_4_133·b_1_22 + b_2_43·b_4_132 + b_2_44·b_1_2·b_5_17
       + b_2_44·b_2_5·b_1_2·b_3_9 + b_2_45·b_4_13 + b_2_46·b_2_5 + b_2_47 + b_5_16·a_9_23
       + a_3_4·b_11_56 + b_10_48·b_1_2·a_3_4 + b_10_48·a_1_1·b_1_23 + b_10_47·b_1_2·a_3_4
       + b_10_46·b_1_2·a_3_4 + b_10_46·a_1_1·b_1_23 + b_4_13·a_1_1·b_9_37
       + b_4_13·a_1_1·b_1_24·b_5_17 + b_4_13·a_1_1·b_1_29 + b_4_132·a_1_1·b_5_17
       + b_4_132·a_1_1·b_1_25 + b_4_133·a_1_1·b_1_2 + b_2_5·b_3_9·a_9_23
       + b_2_4·b_3_9·a_9_23 + b_2_4·b_10_46·a_1_1·b_1_2 + b_2_4·b_10_46·a_1_0·b_1_2
       + b_2_42·b_1_2·a_9_23 + b_2_45·a_1_0·b_3_9 + b_10_48·a_1_1·a_3_4
       + b_10_47·a_1_1·a_3_4 + b_4_13·a_1_1·b_1_2·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_26·a_3_4
       + b_4_132·a_1_12·b_1_24 + a_1_12·b_1_29·a_3_4 + b_4_13·a_1_12·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_25·a_3_4
  66. b_3_9·b_11_56 + b_10_48·b_1_24 + b_10_47·b_1_24 + b_10_46·b_1_24
       + b_4_132·b_1_26 + b_2_5·b_4_133 + b_2_4·b_1_2·b_11_56 + b_2_4·b_4_133
       + b_2_42·b_2_5·b_4_132 + b_2_43·b_3_9·b_5_17 + b_2_43·b_4_13·b_1_2·b_3_9
       + b_2_44·b_1_2·b_5_17 + b_2_44·b_2_5·b_1_2·b_3_9 + b_2_46·b_2_5 + b_2_47
       + b_10_46·b_1_2·a_3_4 + b_10_46·a_1_1·b_1_23 + b_4_13·b_1_2·a_9_23
       + b_4_13·a_1_1·b_9_37 + b_4_13·a_1_1·b_1_24·b_5_17 + b_4_132·a_1_1·b_5_17
       + b_2_4·b_3_9·a_9_23 + b_2_4·b_2_5·b_1_2·a_9_23 + b_2_42·b_1_2·a_9_23
       + b_2_45·a_1_1·b_3_9 + b_2_45·a_1_0·b_3_9 + b_10_47·a_1_12·b_1_22
       + b_10_46·a_1_12·b_1_22 + b_4_13·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_24 + b_4_133·a_1_12 + b_10_48·a_1_13·b_1_2
       + b_4_13·a_1_12·b_1_25·a_3_4 + b_4_132·a_1_12·b_1_2·a_3_4
  67. b_5_16·b_9_37 + b_4_13·b_1_2·b_9_37 + b_4_13·b_1_25·b_5_17 + b_4_13·b_1_210
       + b_4_132·b_1_2·b_5_16 + b_4_133·b_1_22 + b_2_4·b_1_2·b_11_56 + b_2_4·b_2_5·b_10_48
       + b_2_42·b_10_48 + b_2_43·b_3_9·b_5_17 + b_2_44·b_1_2·b_5_16
       + b_2_44·b_2_5·b_1_2·b_3_9 + b_2_44·b_2_5·b_4_13 + b_5_17·a_9_23
       + b_10_48·a_1_1·b_1_23 + b_10_47·b_1_2·a_3_4 + b_10_46·b_1_2·a_3_4
       + b_10_46·a_1_1·b_1_23 + b_4_132·a_1_1·b_1_25 + b_2_5·b_3_9·a_9_23
       + b_2_4·a_1_1·b_11_57 + b_2_46·a_1_1·b_1_2 + b_10_48·a_1_1·a_3_4
       + b_10_47·a_1_12·b_1_22 + b_4_13·a_1_12·b_1_23·b_5_17 + b_4_13·a_1_12·b_1_28
       + b_4_132·a_1_12·b_1_24 + b_4_133·a_1_12 + b_10_48·a_1_13·b_1_2
       + b_4_132·a_1_12·b_1_2·a_3_4
  68. b_2_4·b_1_2·b_11_56 + b_2_4·b_2_5·b_10_48 + b_2_42·b_10_48 + b_2_43·b_3_9·b_5_17
       + b_2_43·b_4_132 + b_2_44·b_1_2·b_5_17 + b_2_44·b_1_2·b_5_16
       + b_2_44·b_2_5·b_4_13 + b_2_45·b_4_13 + b_2_46·b_2_5 + b_2_47 + b_5_17·a_9_23
       + b_4_13·b_1_27·a_3_4 + b_4_13·a_1_1·b_1_24·b_5_17 + b_2_4·b_3_9·a_9_23
       + b_2_4·a_1_0·b_11_57 + b_2_4·b_10_46·a_1_1·b_1_2 + b_2_4·b_10_46·a_1_0·b_1_2
       + b_2_4·b_2_5·b_1_2·a_9_23 + b_2_45·a_1_0·b_3_9 + b_10_47·a_1_12·b_1_22
       + b_10_46·a_1_1·a_3_4 + b_10_46·a_1_12·b_1_22 + b_4_13·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_13·a_1_1·b_1_26·a_3_4 + b_4_13·a_1_12·b_1_23·b_5_17
       + b_4_132·a_1_1·b_1_22·a_3_4 + b_4_132·a_1_12·b_1_24
       + a_1_12·b_1_24·a_3_4·b_5_17 + a_1_12·b_1_29·a_3_4 + b_4_13·a_1_12·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_25·a_3_4
  69. a_3_4·b_11_57 + b_10_47·b_1_2·a_3_4 + b_2_45·a_1_1·b_3_9 + b_2_46·a_1_1·b_1_2
       + b_10_47·a_1_1·a_3_4 + b_10_46·a_1_1·a_3_4 + b_4_13·a_1_1·b_1_26·a_3_4
       + b_4_13·a_1_12·b_1_23·b_5_17 + b_4_13·a_1_12·b_1_28
       + b_4_132·a_1_1·b_1_22·a_3_4 + a_1_12·b_1_24·a_3_4·b_5_17 + a_1_13·b_11_56
  70. b_5_16·b_9_37 + b_3_9·b_11_57 + b_10_47·b_1_24 + b_4_13·b_1_25·b_5_17
       + b_4_13·b_10_46 + b_2_5·b_4_133 + b_2_4·b_1_2·b_11_57 + b_2_4·b_1_2·b_11_56
       + b_2_4·b_4_133 + b_2_4·b_2_5·b_10_48 + b_2_42·b_10_47 + b_2_42·b_10_46
       + b_2_43·b_3_9·b_5_17 + b_2_43·b_4_132 + b_2_44·b_1_2·b_5_16
       + b_2_44·b_2_5·b_1_2·b_3_9 + b_2_46·b_2_5 + b_2_47 + b_5_17·a_9_23 + b_5_16·a_9_23
       + b_10_48·a_1_1·b_1_23 + b_10_47·a_1_1·b_1_23 + b_4_13·b_1_2·a_9_23
       + b_4_13·b_1_27·a_3_4 + b_4_132·b_1_23·a_3_4 + b_2_5·b_3_9·a_9_23
       + b_2_4·b_3_9·a_9_23 + b_2_4·b_10_46·a_1_0·b_1_2 + b_2_45·a_1_1·b_3_9
       + b_2_46·a_1_1·b_1_2 + b_10_48·a_1_12·b_1_22 + b_10_46·a_1_1·a_3_4
       + b_4_13·a_1_1·b_1_2·a_3_4·b_5_17 + b_4_13·a_1_12·b_1_23·b_5_17
       + b_4_13·a_1_12·b_1_28 + b_4_133·a_1_12 + b_10_48·a_1_13·b_1_2
       + b_4_132·a_1_12·b_1_2·a_3_4
  71. a_1_1·b_13_74 + b_10_47·a_1_1·b_1_23 + b_4_13·a_1_1·b_1_24·b_5_17
       + b_4_132·a_1_1·b_1_25 + b_2_4·b_10_46·a_1_1·b_1_2 + b_2_45·a_1_1·b_3_9
       + b_10_48·a_1_1·a_3_4 + b_10_46·a_1_12·b_1_22 + b_4_13·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_23·b_5_17 + b_4_13·a_1_12·b_1_28 + b_4_133·a_1_12
       + a_1_12·b_1_24·a_3_4·b_5_17 + b_10_48·a_1_13·b_1_2 + b_4_13·a_1_12·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_2·a_3_4
  72. b_5_16·b_9_37 + b_4_13·b_1_2·b_9_37 + b_4_13·b_1_25·b_5_17 + b_4_13·b_1_210
       + b_4_132·b_1_2·b_5_16 + b_4_133·b_1_22 + b_2_43·b_4_132 + b_2_44·b_1_2·b_5_17
       + b_2_44·b_2_5·b_1_2·b_3_9 + b_2_45·b_4_13 + b_2_46·b_2_5 + b_2_47 + a_1_0·b_13_74
       + b_10_48·a_1_1·b_1_23 + b_10_47·b_1_2·a_3_4 + b_10_46·b_1_2·a_3_4
       + b_10_46·a_1_1·b_1_23 + b_4_13·b_1_27·a_3_4 + b_4_13·a_1_1·b_1_24·b_5_17
       + b_4_132·a_1_1·b_1_25 + b_2_5·b_3_9·a_9_23 + b_2_4·b_3_9·a_9_23
       + b_2_4·b_2_5·b_1_2·a_9_23 + b_2_45·a_1_1·b_3_9 + b_2_45·a_1_0·b_3_9
       + b_2_46·a_1_1·b_1_2 + b_10_48·a_1_1·a_3_4 + b_10_46·a_1_1·a_3_4
       + b_10_46·a_1_12·b_1_22 + b_4_13·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_13·a_1_1·b_1_26·a_3_4 + b_4_13·a_1_12·b_1_28 + b_4_132·a_1_1·b_1_22·a_3_4
       + b_4_133·a_1_12 + a_1_12·b_1_24·a_3_4·b_5_17 + a_1_12·b_1_29·a_3_4
       + b_10_48·a_1_13·b_1_2 + b_4_13·a_1_12·a_3_4·b_5_17 + b_4_13·a_1_12·b_1_25·a_3_4
       + b_4_132·a_1_12·b_1_2·a_3_4
  73. b_10_48·b_5_16 + b_10_48·b_1_25 + b_10_47·b_5_16 + b_10_47·b_1_25 + b_10_46·b_5_16
       + b_10_46·b_1_25 + b_4_13·b_10_48·b_1_2 + b_4_13·b_10_47·b_1_2 + b_4_13·b_10_46·b_1_2
       + b_4_133·b_3_9 + b_4_133·b_1_23 + b_2_5·b_4_133·b_1_2 + b_2_4·b_4_132·b_5_16
       + b_2_4·b_4_133·b_1_2 + b_2_42·b_4_132·b_3_9 + b_2_43·b_4_13·b_5_17
       + b_2_43·b_4_132·b_1_2 + b_2_43·b_2_5·b_4_13·b_3_9 + b_2_44·b_4_13·b_3_9
       + b_2_45·b_5_16 + b_2_45·b_2_5·b_3_9 + b_2_46·b_2_5·b_1_2 + b_2_47·b_1_2
       + b_10_48·b_1_22·a_3_4 + b_10_48·a_1_1·b_1_24 + b_10_47·b_1_22·a_3_4
       + b_10_47·a_1_1·b_1_24 + b_10_46·b_1_22·a_3_4 + b_10_46·a_1_1·b_1_24
       + b_4_133·a_3_4 + b_4_133·a_1_1·b_1_22 + b_2_4·b_4_13·a_9_23
       + b_2_42·b_10_46·a_1_0 + b_2_42·b_2_5·a_9_23 + b_2_45·b_2_5·a_3_4
       + b_10_48·a_1_12·b_1_23 + b_10_47·a_1_12·b_1_23 + b_10_46·a_1_12·b_1_23
       + b_4_13·a_1_12·b_9_37 + b_4_132·a_1_12·b_5_17 + b_4_132·a_1_12·b_1_25
       + b_4_13·a_1_12·b_1_2·a_3_4·b_5_17 + b_4_132·a_1_12·b_1_22·a_3_4
  74. b_10_47·b_5_17 + b_10_47·b_5_16 + b_10_47·b_1_25 + b_10_46·b_5_17 + b_10_46·b_5_16
       + b_10_46·b_1_25 + b_4_13·b_1_211 + b_4_133·b_1_23 + b_2_5·b_4_133·b_1_2
       + b_2_4·b_4_132·b_5_17 + b_2_4·b_4_132·b_5_16 + b_2_4·b_2_5·b_11_57
       + b_2_42·b_10_47·b_1_2 + b_2_42·b_10_46·b_1_2 + b_2_45·b_5_16 + b_2_45·b_2_5·b_3_9
       + b_2_46·b_2_5·b_1_2 + b_2_47·b_1_2 + a_1_1·b_5_17·b_9_37 + b_10_46·b_1_22·a_3_4
       + b_4_13·b_1_23·a_3_4·b_5_17 + b_4_13·b_10_47·a_1_1 + b_4_13·b_10_46·a_1_1
       + b_4_132·a_1_1·b_1_26 + b_2_5·b_4_13·a_9_23 + b_2_4·b_4_13·a_9_23
       + b_2_42·b_10_46·a_1_0 + b_2_43·a_9_23 + b_2_47·a_1_1 + b_10_48·a_1_1·b_1_2·a_3_4
       + b_10_48·a_1_12·b_1_23 + b_10_47·a_1_1·b_1_2·a_3_4 + b_10_47·a_1_12·b_1_23
       + b_10_46·a_1_12·b_1_23 + b_4_13·a_1_1·b_1_27·a_3_4
       + b_4_132·a_1_1·b_1_23·a_3_4 + b_4_132·a_1_12·b_5_17 + b_4_132·a_1_12·b_1_25
       + b_4_133·a_1_12·b_1_2 + b_10_48·a_1_12·a_3_4 + b_10_47·a_1_12·a_3_4
       + b_4_13·a_1_12·b_1_26·a_3_4
  75. b_1_2·b_5_17·b_9_37 + b_10_47·b_5_16 + b_10_46·b_5_17 + b_10_46·b_5_16
       + b_4_13·b_10_47·b_1_2 + b_4_132·b_1_22·b_5_17 + b_4_132·b_1_27
       + b_4_133·b_1_23 + b_2_4·b_4_132·b_5_17 + b_2_4·b_4_132·b_5_16 + b_2_42·b_11_57
       + b_2_42·b_11_56 + b_2_42·b_10_47·b_1_2 + b_2_44·b_2_5·b_4_13·b_1_2
       + b_2_45·b_4_13·b_1_2 + b_2_45·b_2_5·b_3_9 + b_2_46·b_3_9 + b_10_47·b_1_22·a_3_4
       + b_10_47·a_1_1·b_1_24 + b_10_46·a_1_1·b_1_24 + b_4_13·a_1_1·b_1_210
       + b_4_13·b_10_48·a_1_1 + b_4_132·b_1_24·a_3_4 + b_4_132·a_1_1·b_1_2·b_5_17
       + b_4_132·a_1_1·b_1_26 + b_4_133·a_3_4 + b_2_5·b_4_13·a_9_23 + b_2_4·b_4_13·a_9_23
       + b_2_42·b_10_46·a_1_1 + b_2_42·b_2_5·a_9_23 + b_2_45·b_2_5·a_3_4
       + b_10_48·a_1_1·b_1_2·a_3_4 + b_10_48·a_1_12·b_1_23 + b_10_47·a_1_1·b_1_2·a_3_4
       + b_10_46·a_1_12·b_1_23 + b_4_13·a_1_1·b_1_22·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_24·b_5_17 + b_4_13·a_1_12·b_1_29 + b_4_132·a_1_12·b_5_17
       + a_1_13·b_1_2·b_11_56 + b_10_46·a_1_12·a_3_4 + b_4_13·a_1_12·b_1_26·a_3_4
       + b_4_133·a_1_13
  76. b_10_47·b_5_16 + b_10_47·b_1_25 + b_10_46·b_5_16 + b_10_46·b_1_25
       + b_4_13·b_10_47·b_1_2 + b_4_13·b_10_46·b_1_2 + b_2_5·b_13_74 + b_2_5·b_4_133·b_1_2
       + b_2_4·b_4_132·b_5_17 + b_2_4·b_4_132·b_5_16 + b_2_4·b_4_133·b_1_2
       + b_2_43·b_4_132·b_1_2 + b_2_44·b_2_5·b_4_13·b_1_2 + b_2_45·b_5_16
       + b_2_46·b_2_5·b_1_2 + b_2_47·b_1_2 + b_10_47·b_1_22·a_3_4 + b_10_47·a_1_1·b_1_24
       + b_10_46·b_1_22·a_3_4 + b_10_46·a_1_1·b_1_24 + b_2_5·b_1_2·b_3_9·a_9_23
       + b_2_4·b_1_2·b_3_9·a_9_23 + b_2_4·b_10_46·a_3_4 + b_2_42·b_10_46·a_1_0
       + b_2_43·a_9_23 + b_2_45·b_2_5·a_3_4 + b_2_46·a_3_4 + b_2_47·a_1_1
       + b_10_47·a_1_12·b_1_23 + b_10_46·a_1_12·b_1_23 + a_1_13·b_1_2·b_11_56
  77. b_1_2·b_5_17·b_9_37 + b_1_22·b_13_74 + b_10_47·b_5_17 + b_10_46·b_5_16
       + b_4_13·b_1_26·b_5_17 + b_4_13·b_1_211 + b_4_13·b_10_47·b_1_2
       + b_4_13·b_10_46·b_1_2 + b_4_132·b_1_22·b_5_17 + b_2_5·b_4_133·b_1_2
       + b_2_4·b_4_132·b_5_17 + b_2_4·b_4_132·b_5_16 + b_2_4·b_4_133·b_1_2
       + b_2_42·b_11_56 + b_2_42·b_10_47·b_1_2 + b_2_42·b_10_46·b_1_2
       + b_2_42·b_4_132·b_3_9 + b_2_43·b_4_13·b_5_17 + b_2_43·b_4_132·b_1_2
       + b_2_44·b_2_5·b_4_13·b_1_2 + b_2_45·b_5_16 + b_2_45·b_2_5·b_3_9 + b_2_46·b_3_9
       + a_1_1·b_5_17·b_9_37 + b_10_48·b_1_22·a_3_4 + b_10_47·b_1_22·a_3_4
       + b_10_47·a_1_1·b_1_24 + b_10_46·a_1_1·b_1_24 + b_4_13·b_10_48·a_1_1
       + b_4_132·b_1_24·a_3_4 + b_4_132·a_1_1·b_1_26 + b_4_133·a_3_4
       + b_2_5·b_1_2·b_3_9·a_9_23 + b_2_5·b_4_13·a_9_23 + b_2_4·b_1_2·b_3_9·a_9_23
       + b_2_4·b_10_46·a_3_4 + b_2_42·b_10_46·a_1_1 + b_2_45·b_2_5·a_3_4 + b_2_46·a_3_4
       + b_2_47·a_1_1 + b_10_47·a_1_1·b_1_2·a_3_4 + b_10_46·a_1_1·b_1_2·a_3_4
       + b_4_13·a_1_1·b_1_27·a_3_4 + b_4_13·a_1_12·b_1_24·b_5_17
       + b_4_13·a_1_12·b_1_29 + b_4_132·a_1_1·b_1_23·a_3_4 + a_1_13·b_1_2·b_11_56
       + b_10_46·a_1_12·a_3_4 + b_4_13·a_1_12·b_1_2·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_22·a_3_4 + b_4_133·a_1_13
  78. b_1_2·b_5_17·b_9_37 + b_10_47·b_5_17 + b_10_47·b_1_25 + b_10_46·b_5_16
       + b_4_13·b_1_211 + b_4_13·b_10_47·b_1_2 + b_4_13·b_10_46·b_1_2
       + b_4_132·b_1_22·b_5_17 + b_4_132·b_1_27 + b_2_5·b_4_133·b_1_2 + b_2_4·b_13_74
       + b_2_4·b_4_132·b_5_17 + b_2_4·b_4_132·b_5_16 + b_2_4·b_4_133·b_1_2
       + b_2_42·b_11_56 + b_2_42·b_10_46·b_1_2 + b_2_42·b_4_132·b_3_9
       + b_2_44·b_2_5·b_4_13·b_1_2 + b_2_45·b_5_16 + b_2_45·b_2_5·b_3_9 + b_2_46·b_3_9
       + a_1_1·b_5_17·b_9_37 + b_10_47·b_1_22·a_3_4 + b_10_47·a_1_1·b_1_24
       + b_4_13·b_1_23·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_210 + b_4_13·b_10_48·a_1_1
       + b_4_13·b_10_47·a_1_1 + b_4_13·b_10_46·a_1_1 + b_4_132·b_1_24·a_3_4
       + b_4_132·a_1_1·b_1_2·b_5_17 + b_4_133·a_3_4 + b_2_5·b_1_2·b_3_9·a_9_23
       + b_2_5·b_4_13·a_9_23 + b_2_4·b_1_2·b_3_9·a_9_23 + b_2_4·b_10_46·a_3_4
       + b_2_45·b_2_5·a_3_4 + b_2_46·a_3_4 + b_10_47·a_1_12·b_1_23
       + b_10_46·a_1_12·b_1_23 + b_4_13·a_1_1·b_1_22·a_3_4·b_5_17
       + b_4_13·a_1_1·b_1_27·a_3_4 + b_4_13·a_1_12·b_1_24·b_5_17
       + b_4_13·a_1_12·b_1_29 + b_4_132·a_1_1·b_1_23·a_3_4 + b_4_132·a_1_12·b_1_25
       + b_4_133·a_1_12·b_1_2 + b_10_48·a_1_12·a_3_4 + b_10_47·a_1_12·a_3_4
       + b_10_46·a_1_12·a_3_4
  79. b_4_13·a_1_1·b_11_57 + b_4_13·b_10_47·a_1_1·b_1_2 + b_2_42·a_1_1·b_11_57
       + b_2_42·b_10_46·a_1_1·b_1_2 + a_1_12·b_5_17·b_9_37
       + b_4_13·a_1_1·b_1_23·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_28·a_3_4
       + b_4_13·a_1_12·b_1_210 + b_4_13·b_10_47·a_1_12 + b_4_13·b_10_46·a_1_12
       + b_4_132·a_1_12·b_1_2·b_5_17 + b_4_133·a_1_12·b_1_22
       + b_4_13·a_1_12·b_1_22·a_3_4·b_5_17 + b_4_132·a_1_12·b_1_23·a_3_4
       + b_4_132·a_1_13·b_5_17 + b_4_133·a_1_13·b_1_2
  80. b_5_16·b_11_56 + b_10_48·b_1_26 + b_10_46·b_1_2·b_5_17 + b_4_13·b_1_2·b_11_56
       + b_4_13·b_10_47·b_1_22 + b_4_132·b_1_23·b_5_17 + b_2_5·b_1_2·b_13_74
       + b_2_5·b_4_13·b_10_48 + b_2_4·b_4_13·b_10_48 + b_2_4·b_4_13·b_10_47
       + b_2_4·b_4_13·b_10_46 + b_2_4·b_4_132·b_1_2·b_5_17 + b_2_4·b_2_5·b_4_133
       + b_2_42·b_1_2·b_11_57 + b_2_42·b_4_133 + b_2_42·b_2_5·b_10_48 + b_2_43·b_10_46
       + b_2_43·b_2_5·b_4_132 + b_2_44·b_3_9·b_5_17 + b_2_44·b_4_13·b_1_2·b_3_9
       + b_2_44·b_4_132 + b_2_45·b_2_5·b_1_2·b_3_9 + b_2_45·b_2_5·b_4_13
       + b_2_46·b_1_2·b_3_9 + b_2_46·b_4_13 + b_2_47·b_2_5 + b_2_48 + b_10_48·a_1_1·b_5_17
       + b_10_47·a_1_1·b_1_25 + b_4_13·b_3_9·a_9_23 + b_4_13·b_1_29·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_2 + b_4_13·b_10_47·a_1_1·b_1_2
       + b_4_13·b_10_46·a_1_1·b_1_2 + b_4_132·a_3_4·b_5_17 + b_4_132·b_1_25·a_3_4
       + b_4_132·a_1_1·b_1_22·b_5_17 + b_4_133·b_1_2·a_3_4 + b_4_133·a_1_1·b_1_23
       + b_2_4·b_5_17·a_9_23 + b_2_42·b_10_46·a_1_1·b_1_2 + b_2_42·b_10_46·a_1_0·b_1_2
       + b_2_42·b_2_5·b_1_2·a_9_23 + b_2_43·b_1_2·a_9_23 + b_2_46·a_1_1·b_3_9
       + b_2_46·a_1_0·b_3_9 + b_2_47·a_1_1·b_1_2 + a_1_12·b_5_17·b_9_37
       + b_10_48·a_1_1·b_1_22·a_3_4 + b_10_48·a_1_12·b_1_24
       + b_10_47·a_1_1·b_1_22·a_3_4 + b_10_47·a_1_12·b_1_24
       + b_4_13·a_1_1·b_1_23·a_3_4·b_5_17 + b_4_13·a_1_1·b_1_28·a_3_4
       + b_4_13·a_1_12·b_1_210 + b_4_13·b_10_48·a_1_12 + b_4_13·b_10_46·a_1_12
       + b_4_132·a_1_12·b_1_2·b_5_17 + b_4_132·a_1_12·b_1_26 + b_4_133·a_1_1·a_3_4
       + b_10_47·a_1_12·b_1_2·a_3_4 + b_4_13·a_1_12·b_1_22·a_3_4·b_5_17
  81. a_3_4·b_13_74 + b_10_47·b_1_23·a_3_4 + b_4_13·b_1_24·a_3_4·b_5_17
       + b_4_132·b_1_25·a_3_4 + b_2_42·a_1_0·b_11_57 + b_2_42·b_10_46·a_1_1·b_1_2
       + b_2_46·a_1_1·b_3_9 + a_1_12·b_5_17·b_9_37 + b_10_48·a_1_1·b_1_22·a_3_4
       + b_10_46·a_1_1·b_1_22·a_3_4 + b_4_13·a_1_1·b_1_28·a_3_4 + b_4_13·b_10_48·a_1_12
       + b_4_13·b_10_47·a_1_12 + b_4_13·b_10_46·a_1_12 + b_4_132·a_1_12·b_1_2·b_5_17
       + b_4_133·a_1_1·a_3_4 + b_4_133·a_1_12·b_1_22
       + b_4_13·a_1_12·b_1_22·a_3_4·b_5_17 + b_4_133·a_1_13·b_1_2
  82. b_5_16·b_11_57 + b_3_9·b_13_74 + b_4_13·b_1_2·b_11_57 + b_4_13·b_10_47·b_1_22
       + b_4_13·b_10_46·b_1_22 + b_4_132·b_1_23·b_5_17 + b_4_133·b_1_24
       + b_2_4·b_4_13·b_10_48 + b_2_4·b_4_13·b_10_47 + b_2_4·b_2_5·b_1_2·b_11_57
       + b_2_42·b_2_5·b_10_48 + b_2_43·b_10_46 + b_2_43·b_2_5·b_4_132
       + b_2_44·b_3_9·b_5_17 + b_2_44·b_4_13·b_1_2·b_3_9 + b_2_45·b_1_2·b_5_17
       + b_2_45·b_1_2·b_5_16 + b_2_45·b_2_5·b_1_2·b_3_9 + b_2_47·b_2_5 + b_2_48
       + b_10_48·b_1_23·a_3_4 + b_10_47·b_1_23·a_3_4 + b_4_13·b_1_24·a_3_4·b_5_17
       + b_4_13·b_10_47·a_1_1·b_1_2 + b_4_132·b_1_25·a_3_4 + b_4_132·a_1_1·b_1_22·b_5_17
       + b_2_4·b_5_17·a_9_23 + b_2_42·a_1_1·b_11_57 + b_2_42·b_10_46·a_1_0·b_1_2
       + b_2_46·a_1_1·b_3_9 + b_2_46·a_1_0·b_3_9 + b_2_47·a_1_1·b_1_2
       + b_10_48·a_1_1·b_1_22·a_3_4 + b_10_48·a_1_12·b_1_24 + b_10_47·a_1_12·b_1_24
       + b_10_46·a_1_12·b_1_24 + b_4_13·b_10_48·a_1_12 + b_4_13·b_10_47·a_1_12
       + b_4_132·a_1_1·b_1_24·a_3_4 + b_4_133·a_1_1·a_3_4 + b_10_48·a_1_12·b_1_2·a_3_4
       + b_10_47·a_1_12·b_1_2·a_3_4 + b_4_13·a_1_12·b_1_22·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_27·a_3_4
  83. a_9_232 + b_4_13·a_1_12·b_1_2·b_11_56 + b_4_13·b_10_48·a_1_12·b_1_22
       + b_4_13·b_10_47·a_1_12·b_1_22 + b_4_13·b_10_46·a_1_1·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_22 + b_4_132·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_133·a_1_1·b_1_22·a_3_4 + b_4_133·a_1_12·b_1_24
       + b_10_47·a_1_12·b_1_23·a_3_4 + b_4_13·a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_13·b_1_2 + b_4_132·a_1_12·b_1_25·a_3_4
  84. a_9_23·b_9_37 + b_10_47·b_1_25·a_3_4 + b_10_46·a_3_4·b_5_17 + b_10_46·b_1_25·a_3_4
       + b_4_13·b_10_46·b_1_2·a_3_4 + b_4_132·b_1_2·a_9_23 + b_4_132·b_1_27·a_3_4
       + b_4_132·a_1_1·b_1_24·b_5_17 + b_4_132·a_1_1·b_1_29 + b_4_133·b_1_23·a_3_4
       + b_2_42·b_5_17·a_9_23 + b_2_42·b_4_13·b_1_2·a_9_23 + b_2_43·a_1_1·b_11_57
       + b_2_43·a_1_0·b_11_57 + b_2_43·b_2_5·b_1_2·a_9_23 + b_2_44·b_1_2·a_9_23
       + a_1_12·b_5_17·b_11_56 + b_10_48·a_1_12·b_1_2·b_5_17 + b_10_46·a_1_1·b_1_24·a_3_4
       + b_4_13·b_10_48·a_1_1·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_22
       + b_4_13·b_10_47·a_1_1·a_3_4 + b_4_13·b_10_46·a_1_1·a_3_4
       + b_4_132·a_1_1·b_1_26·a_3_4 + b_4_133·a_1_1·b_1_22·a_3_4 + b_4_134·a_1_12
       + b_10_48·a_1_12·b_1_23·a_3_4 + b_10_47·a_1_12·b_1_23·a_3_4
       + b_10_46·a_1_12·b_1_23·a_3_4 + b_4_13·a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_29·a_3_4 + b_4_132·a_1_12·a_3_4·b_5_17
  85. b_5_17·b_13_74 + b_5_16·b_13_74 + b_10_46·b_1_28 + b_4_13·b_10_46·b_1_24
       + b_4_132·b_1_2·b_9_37 + b_4_132·b_1_210 + b_4_132·b_10_47 + b_4_133·b_1_2·b_5_17
       + b_4_134·b_1_22 + b_2_4·b_5_17·b_11_57 + b_2_4·b_4_13·b_1_2·b_11_57
       + b_2_4·b_4_134 + b_2_42·b_4_13·b_10_48 + b_2_42·b_4_13·b_10_46
       + b_2_42·b_2_5·b_1_2·b_11_57 + b_2_42·b_2_5·b_4_133 + b_2_43·b_1_2·b_11_57
       + b_2_43·b_4_133 + b_2_44·b_10_48 + b_2_44·b_10_47 + b_2_45·b_4_132
       + b_2_46·b_1_2·b_5_16 + b_2_46·b_2_5·b_1_2·b_3_9 + b_2_47·b_1_2·b_3_9
       + b_2_47·b_4_13 + a_9_23·b_9_37 + b_10_48·a_3_4·b_5_17 + b_10_48·b_1_25·a_3_4
       + b_10_48·a_1_1·b_1_22·b_5_17 + b_10_47·b_1_25·a_3_4 + b_10_46·a_3_4·b_5_17
       + b_4_13·b_5_17·a_9_23 + b_4_13·b_10_48·b_1_2·a_3_4 + b_4_13·b_10_46·b_1_2·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_23 + b_4_132·b_1_2·a_9_23 + b_4_132·b_1_27·a_3_4
       + b_4_132·a_1_1·b_9_37 + b_4_132·a_1_1·b_1_24·b_5_17 + b_4_132·a_1_1·b_1_29
       + b_4_133·a_1_1·b_5_17 + b_4_133·a_1_1·b_1_25 + b_4_134·a_1_1·b_1_2
       + b_2_5·b_4_13·b_3_9·a_9_23 + b_2_42·b_5_17·a_9_23 + b_2_42·b_4_13·b_1_2·a_9_23
       + b_2_43·b_3_9·a_9_23 + b_2_43·b_10_46·a_1_0·b_1_2 + b_2_44·b_1_2·a_9_23
       + b_2_47·a_1_1·b_3_9 + a_9_232 + b_10_47·a_1_1·b_1_24·a_3_4
       + b_10_46·a_1_12·b_1_26 + b_4_13·b_10_48·a_1_1·a_3_4
       + b_4_13·b_10_47·a_1_12·b_1_22 + b_4_13·b_10_46·a_1_1·a_3_4
       + b_4_132·a_1_1·b_1_26·a_3_4 + b_4_132·a_1_12·b_1_28
       + b_4_133·a_1_1·b_1_22·a_3_4 + b_4_133·a_1_12·b_1_24 + b_4_134·a_1_12
       + b_4_13·b_10_48·a_1_13·b_1_2 + b_4_132·a_1_12·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_2·a_3_4
  86. b_5_16·b_13_74 + b_10_46·b_1_23·b_5_17 + b_10_46·b_1_28 + b_4_13·b_1_2·b_13_74
       + b_4_13·b_10_46·b_1_24 + b_4_132·b_1_2·b_9_37 + b_4_132·b_10_46
       + b_4_133·b_1_2·b_5_16 + b_4_133·b_1_26 + b_4_134·b_1_22 + b_2_5·b_4_134
       + b_2_4·b_5_17·b_11_57 + b_2_4·b_3_9·b_13_74 + b_2_4·b_4_13·b_1_2·b_11_57
       + b_2_4·b_2_5·b_1_2·b_13_74 + b_2_42·b_1_2·b_13_74 + b_2_42·b_4_13·b_10_48
       + b_2_42·b_2_5·b_1_2·b_11_57 + b_2_43·b_4_133 + b_2_44·b_10_47 + b_2_44·b_10_46
       + b_2_44·b_2_5·b_4_132 + b_2_45·b_3_9·b_5_17 + b_2_45·b_4_13·b_1_2·b_3_9
       + b_2_45·b_4_132 + b_2_46·b_1_2·b_5_17 + b_2_46·b_1_2·b_5_16 + b_2_48·b_2_5
       + b_2_49 + b_10_48·b_1_25·a_3_4 + b_10_48·a_1_1·b_1_22·b_5_17
       + b_10_47·b_1_25·a_3_4 + b_10_46·b_1_25·a_3_4 + b_4_13·b_5_17·a_9_23
       + b_4_13·b_10_48·a_1_1·b_1_23 + b_4_13·b_10_47·b_1_2·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_23 + b_4_13·b_10_46·b_1_2·a_3_4 + b_4_132·b_1_2·a_9_23
       + b_4_132·b_1_27·a_3_4 + b_2_5·b_4_13·b_3_9·a_9_23 + b_2_43·b_3_9·a_9_23
       + b_2_43·a_1_1·b_11_57 + b_2_43·b_10_46·a_1_0·b_1_2 + b_2_48·a_1_1·b_1_2 + a_9_232
       + b_10_48·a_1_1·b_1_24·a_3_4 + b_10_48·a_1_12·b_1_26 + b_10_46·a_1_12·b_1_26
       + b_4_13·b_10_48·a_1_12·b_1_22 + b_4_13·b_10_47·a_1_12·b_1_22
       + b_4_132·a_1_1·b_1_2·a_3_4·b_5_17 + b_4_132·a_1_1·b_1_26·a_3_4
       + b_4_132·a_1_12·b_1_23·b_5_17 + b_4_133·a_1_1·b_1_22·a_3_4 + b_4_134·a_1_12
       + b_10_48·a_1_12·b_1_23·a_3_4 + b_10_47·a_1_12·b_1_23·a_3_4
       + b_4_13·a_1_12·b_1_24·a_3_4·b_5_17 + b_4_13·a_1_13·b_11_56
       + b_4_13·b_10_48·a_1_13·b_1_2 + b_4_132·a_1_12·a_3_4·b_5_17
  87. b_9_372 + b_4_132·b_1_210 + b_4_133·b_1_26 + b_4_134·b_1_22
       + b_2_43·b_4_133 + b_2_44·b_2_5·b_4_132 + b_2_45·b_4_132 + b_2_47·b_1_2·b_3_9
       + b_2_47·b_4_13 + b_2_48·b_2_5 + b_2_49 + b_4_132·b_1_27·a_3_4
       + b_4_132·a_1_1·b_1_24·b_5_17 + b_2_47·a_1_1·b_3_9 + b_2_47·a_1_0·b_3_9 + a_9_232
       + b_10_48·a_1_12·b_1_2·b_5_17 + b_10_48·a_1_12·b_1_26 + b_10_46·a_1_12·b_1_26
       + b_4_132·a_1_1·b_1_26·a_3_4 + b_4_133·a_1_12·b_1_24 + b_4_134·a_1_12
       + b_10_46·a_1_12·b_1_23·a_3_4 + b_4_13·a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_13·a_1_12·b_1_29·a_3_4 + b_4_13·a_1_13·b_11_56
       + b_4_13·b_10_48·a_1_13·b_1_2 + b_4_133·a_1_12·b_1_2·a_3_4 + c_16_105·a_1_12
  88. b_2_4·b_4_133·b_5_16 + b_2_43·b_4_132·b_5_17 + b_2_44·b_4_132·b_3_9
       + b_2_45·b_4_13·b_5_17 + b_2_46·b_4_13·b_3_9 + b_2_47·b_5_17 + b_2_47·b_5_16
       + b_2_48·b_3_9 + b_10_48·a_9_23 + b_10_48·b_1_2·a_3_4·b_5_17 + b_10_47·a_9_23
       + b_10_46·a_9_23 + b_4_13·b_10_48·a_1_1·b_1_24 + b_4_13·b_10_47·b_1_22·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_24 + b_4_13·b_10_46·a_1_1·b_1_24
       + b_4_132·b_1_23·a_3_4·b_5_17 + b_2_4·b_3_9·b_5_17·a_9_23
       + b_2_4·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_4·b_4_132·a_9_23
       + b_2_43·b_1_2·b_3_9·a_9_23 + b_2_43·b_10_47·a_3_4 + b_2_43·b_10_46·a_3_4
       + b_2_43·b_4_13·a_9_23 + b_2_44·b_2_5·a_9_23 + b_2_45·a_9_23 + b_2_47·b_2_5·a_3_4
       + b_2_49·a_1_1 + b_10_48·a_1_1·a_3_4·b_5_17 + b_10_48·a_1_1·b_1_25·a_3_4
       + b_10_48·a_1_12·b_1_27 + b_10_46·a_1_1·a_3_4·b_5_17 + b_10_46·a_1_1·b_1_25·a_3_4
       + b_10_46·a_1_12·b_1_22·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_2·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_2·a_3_4 + b_4_132·a_1_1·b_1_22·a_3_4·b_5_17
       + b_4_132·a_1_1·b_1_27·a_3_4 + b_4_134·a_1_12·b_1_2
       + b_10_48·a_1_12·b_1_24·a_3_4 + b_4_13·a_1_13·b_1_2·b_11_56
       + b_4_13·b_10_47·a_1_12·a_3_4 + b_4_132·a_1_12·b_1_2·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_22·a_3_4
  89. b_10_48·b_9_37 + b_4_13·b_10_48·b_5_17 + b_4_13·b_10_48·b_1_25
       + b_4_13·b_10_47·b_1_25 + b_4_13·b_10_46·b_5_17 + b_4_13·b_10_46·b_1_25
       + b_4_132·b_11_56 + b_4_132·b_10_46·b_1_2 + b_4_133·b_1_22·b_5_17
       + b_4_133·b_1_27 + b_4_134·b_3_9 + b_2_5·b_4_134·b_1_2
       + b_2_4·b_1_2·b_5_17·b_11_57 + b_2_4·b_1_2·b_3_9·b_13_74 + b_2_4·b_4_133·b_5_16
       + b_2_4·b_4_134·b_1_2 + b_2_42·b_4_13·b_11_57 + b_2_42·b_4_13·b_11_56
       + b_2_42·b_4_13·b_10_47·b_1_2 + b_2_43·b_4_132·b_5_17 + b_2_44·b_11_57
       + b_2_44·b_11_56 + b_2_44·b_4_132·b_3_9 + b_2_45·b_4_132·b_1_2
       + b_2_46·b_2_5·b_4_13·b_1_2 + b_2_47·b_5_17 + b_2_47·b_4_13·b_1_2
       + b_10_48·b_1_2·a_3_4·b_5_17 + b_10_48·a_1_1·b_1_23·b_5_17 + b_10_47·a_9_23
       + b_10_46·b_1_2·a_3_4·b_5_17 + b_4_13·b_10_48·b_1_22·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_24 + b_4_13·b_10_47·b_1_22·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_24 + b_4_13·b_10_46·b_1_22·a_3_4
       + b_4_132·b_10_48·a_1_1 + b_4_132·b_10_46·a_1_1 + b_4_133·a_1_1·b_1_2·b_5_17
       + b_4_134·a_3_4 + b_4_134·a_1_1·b_1_22 + b_2_4·b_3_9·b_5_17·a_9_23
       + b_2_4·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_4·b_4_132·a_9_23 + b_2_43·b_10_46·a_3_4
       + b_2_43·b_4_13·a_9_23 + b_2_47·b_2_5·a_3_4 + b_2_49·a_1_1
       + b_10_48·a_1_12·b_1_27 + b_10_47·a_1_1·b_1_25·a_3_4 + b_10_46·a_1_1·a_3_4·b_5_17
       + b_10_46·a_1_1·b_1_25·a_3_4 + b_10_46·a_1_12·b_1_22·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_2·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_23
       + b_4_13·b_10_47·a_1_12·b_1_23 + b_4_13·b_10_46·a_1_1·b_1_2·a_3_4
       + b_4_132·a_1_1·b_1_22·a_3_4·b_5_17 + b_4_132·a_1_12·b_1_24·b_5_17
       + b_4_133·a_1_1·b_1_23·a_3_4 + b_4_133·a_1_12·b_1_25 + b_4_134·a_1_12·b_1_2
       + b_10_46·a_1_12·b_1_24·a_3_4 + b_4_13·b_10_48·a_1_12·a_3_4
       + b_4_13·b_10_46·a_1_12·a_3_4 + b_4_132·a_1_12·b_1_2·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_26·a_3_4 + b_4_133·a_1_12·b_1_22·a_3_4 + b_4_134·a_1_13
       + c_16_105·a_1_1·b_1_22
  90. b_10_46·b_9_37 + b_4_13·b_10_47·b_1_25 + b_4_132·b_1_26·b_5_17
       + b_4_132·b_1_211 + b_4_132·b_10_46·b_1_2 + b_4_133·b_1_22·b_5_17
       + b_2_4·b_1_2·b_5_17·b_11_57 + b_2_4·b_1_2·b_3_9·b_13_74 + b_2_4·b_4_133·b_5_17
       + b_2_4·b_2_5·b_4_13·b_11_57 + b_2_42·b_4_133·b_3_9 + b_2_42·b_2_5·b_13_74
       + b_2_43·b_13_74 + b_2_44·b_11_57 + b_2_44·b_11_56 + b_2_47·b_5_17
       + b_2_47·b_2_5·b_3_9 + b_2_48·b_3_9 + b_2_48·b_2_5·b_1_2 + b_2_49·b_1_2
       + b_10_48·a_1_1·b_1_28 + b_10_47·a_9_23 + b_10_46·a_1_1·b_1_28
       + b_4_13·b_10_47·b_1_22·a_3_4 + b_4_13·b_10_47·a_1_1·b_1_24
       + b_4_13·b_10_46·a_1_1·b_1_24 + b_4_132·a_1_1·b_1_210 + b_4_132·b_10_48·a_1_1
       + b_4_133·b_1_24·a_3_4 + b_4_133·a_1_1·b_1_2·b_5_17 + b_4_133·a_1_1·b_1_26
       + b_4_134·a_3_4 + b_2_4·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_42·b_2_5·b_4_13·a_9_23
       + b_2_43·b_10_46·a_3_4 + b_2_43·b_4_13·a_9_23 + b_2_44·b_10_46·a_1_1
       + b_2_47·b_2_5·a_3_4 + b_2_48·a_3_4 + b_10_48·a_1_1·b_1_25·a_3_4
       + b_10_48·a_1_12·b_1_22·b_5_17 + b_10_48·a_1_12·b_1_27
       + b_10_47·a_1_1·b_1_25·a_3_4 + b_10_46·a_1_1·a_3_4·b_5_17
       + b_10_46·a_1_1·b_1_25·a_3_4 + b_10_46·a_1_12·b_1_22·b_5_17
       + b_10_46·a_1_12·b_1_27 + b_4_13·b_10_48·a_1_12·b_1_23
       + b_4_13·b_10_47·a_1_1·b_1_2·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_23
       + b_4_132·a_1_1·b_1_27·a_3_4 + b_4_132·a_1_12·b_9_37 + b_4_132·a_1_12·b_1_29
       + b_4_133·a_1_1·b_1_23·a_3_4 + b_10_46·a_1_12·b_1_24·a_3_4
       + b_4_13·b_10_46·a_1_12·a_3_4 + b_4_132·a_1_12·b_1_2·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_22·a_3_4 + c_16_105·a_1_12·b_1_2
  91. b_2_4·b_1_2·b_5_17·b_11_57 + b_2_4·b_1_2·b_3_9·b_13_74 + b_2_4·b_2_5·b_4_13·b_11_57
       + b_2_42·b_4_13·b_10_47·b_1_2 + b_2_42·b_4_13·b_10_46·b_1_2
       + b_2_42·b_4_133·b_3_9 + b_2_43·b_4_132·b_5_17 + b_2_43·b_2_5·b_11_57
       + b_2_44·b_11_57 + b_2_45·b_4_132·b_1_2 + b_2_46·b_4_13·b_3_9 + b_2_47·b_5_17
       + b_2_47·b_4_13·b_1_2 + b_2_48·b_2_5·b_1_2 + b_2_49·b_1_2 + b_10_47·a_9_23
       + b_10_46·b_1_2·a_3_4·b_5_17 + b_4_13·b_10_47·b_1_22·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_24 + b_4_132·b_1_23·a_3_4·b_5_17
       + b_2_4·b_3_9·b_5_17·a_9_23 + b_2_4·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_43·b_10_47·a_3_4
       + b_2_43·b_10_46·a_3_4 + b_2_44·b_10_46·a_1_1 + b_2_44·b_10_46·a_1_0
       + b_2_44·b_2_5·a_9_23 + b_2_47·b_2_5·a_3_4 + b_10_46·a_1_12·b_1_22·b_5_17
       + b_10_46·a_1_12·b_1_27 + b_4_13·b_10_48·a_1_1·b_1_2·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_2·a_3_4 + b_4_132·a_1_1·b_1_22·a_3_4·b_5_17
       + b_4_132·a_1_1·b_1_27·a_3_4 + b_4_134·a_1_12·b_1_2
       + b_10_46·a_1_12·b_1_24·a_3_4 + b_4_13·b_10_48·a_1_12·a_3_4
       + b_4_13·b_10_47·a_1_12·a_3_4 + b_4_13·b_10_46·a_1_12·a_3_4
       + b_4_132·a_1_12·b_1_2·a_3_4·b_5_17 + b_4_133·a_1_12·b_1_22·a_3_4
       + b_4_134·a_1_13 + b_2_4·c_16_105·a_1_1
  92. b_2_4·b_1_2·b_3_9·b_13_74 + b_2_42·b_4_13·b_11_57 + b_2_42·b_4_13·b_10_46·b_1_2
       + b_2_42·b_4_133·b_3_9 + b_2_42·b_2_5·b_13_74 + b_2_44·b_11_57
       + b_2_44·b_10_46·b_1_2 + b_2_44·b_4_132·b_3_9 + b_2_45·b_4_132·b_1_2
       + b_2_47·b_5_17 + b_2_47·b_2_5·b_3_9 + b_2_48·b_2_5·b_1_2 + b_2_49·b_1_2
       + b_10_46·a_9_23 + b_10_46·b_1_2·a_3_4·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_24
       + b_2_5·b_4_132·a_9_23 + b_2_4·b_3_9·b_5_17·a_9_23
       + b_2_42·b_2_5·b_1_2·b_3_9·a_9_23 + b_2_43·b_10_47·a_3_4 + b_2_44·b_10_46·a_1_1
       + b_2_45·a_9_23 + b_2_48·a_3_4 + b_2_49·a_1_1 + b_10_46·a_1_1·a_3_4·b_5_17
       + b_10_46·a_1_1·b_1_25·a_3_4 + b_10_46·a_1_12·b_1_27
       + b_10_46·a_1_12·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_12·a_3_4 + b_2_4·c_16_105·a_1_0
  93. b_10_47·b_9_37 + b_10_46·b_9_37 + b_4_13·b_10_46·b_5_17 + b_4_132·b_1_211
       + b_4_132·b_10_47·b_1_2 + b_4_133·b_1_22·b_5_17 + b_4_133·b_1_27
       + b_4_134·b_1_23 + b_2_5·b_4_13·b_13_74 + b_2_5·b_4_134·b_1_2
       + b_2_4·b_4_133·b_5_17 + b_2_4·b_4_133·b_5_16 + b_2_4·b_4_134·b_1_2
       + b_2_42·b_4_13·b_11_57 + b_2_42·b_4_13·b_11_56 + b_2_42·b_4_13·b_10_47·b_1_2
       + b_2_43·b_4_132·b_5_17 + b_2_43·b_4_133·b_1_2 + b_2_43·b_2_5·b_11_57
       + b_2_44·b_4_132·b_3_9 + b_2_45·b_4_13·b_5_17 + b_2_45·b_4_132·b_1_2
       + b_2_46·b_2_5·b_4_13·b_1_2 + b_2_47·b_5_17 + b_2_47·b_2_5·b_3_9 + b_2_48·b_3_9
       + b_2_48·b_2_5·b_1_2 + b_2_49·b_1_2 + b_10_48·a_9_23 + b_10_48·b_1_2·a_3_4·b_5_17
       + b_10_48·a_1_1·b_1_23·b_5_17 + b_10_47·a_9_23 + b_10_46·a_9_23
       + b_10_46·a_1_1·b_1_23·b_5_17 + b_4_13·b_10_47·a_1_1·b_1_24
       + b_4_132·b_1_28·a_3_4 + b_4_132·a_1_1·b_1_210 + b_4_132·b_10_46·a_1_1
       + b_4_134·a_1_1·b_1_22 + b_2_5·b_4_132·a_9_23 + b_2_4·b_3_9·b_5_17·a_9_23
       + b_2_43·b_1_2·b_3_9·a_9_23 + b_2_43·b_10_47·a_3_4 + b_2_43·b_10_46·a_3_4
       + b_2_44·b_10_46·a_1_1 + b_2_44·b_10_46·a_1_0 + b_2_44·b_2_5·a_9_23 + b_2_48·a_3_4
       + b_2_49·a_1_1 + b_10_48·a_1_12·b_1_27 + b_10_47·a_1_1·b_1_25·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_2·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_23
       + b_4_132·a_1_1·b_1_22·a_3_4·b_5_17 + b_4_132·a_1_12·b_9_37
       + b_4_132·a_1_12·b_1_24·b_5_17 + b_4_133·a_1_12·b_1_25
       + b_10_48·a_1_12·b_1_24·a_3_4 + b_10_47·a_1_12·b_1_24·a_3_4
       + b_10_46·a_1_12·b_1_24·a_3_4 + b_4_134·a_1_13 + c_16_105·a_1_13
  94. b_2_4·b_4_133·b_1_2·b_5_17 + b_2_4·b_2_5·b_4_134 + b_2_42·b_4_134
       + b_2_43·b_4_13·b_10_48 + b_2_43·b_4_13·b_10_47 + b_2_43·b_4_13·b_10_46
       + b_2_44·b_4_133 + b_2_44·b_2_5·b_10_48 + b_2_45·b_10_48 + b_2_45·b_2_5·b_4_132
       + b_2_46·b_3_9·b_5_17 + b_2_46·b_4_13·b_1_2·b_3_9 + b_2_46·b_4_132
       + b_2_47·b_1_2·b_5_16 + b_2_47·b_2_5·b_1_2·b_3_9 + b_2_47·b_2_5·b_4_13
       + b_2_49·b_2_5 + b_2_410 + a_9_23·b_11_56 + b_10_48·b_1_22·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_25 + b_4_13·b_10_47·b_1_23·a_3_4
       + b_4_13·b_10_46·a_1_1·b_5_17 + b_4_132·b_3_9·a_9_23 + b_4_132·b_1_24·a_3_4·b_5_17
       + b_4_132·b_10_47·a_1_1·b_1_2 + b_4_133·a_1_1·b_1_22·b_5_17
       + b_4_133·a_1_1·b_1_27 + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_43·b_4_13·b_1_2·a_9_23 + b_2_43·b_2_5·b_3_9·a_9_23 + b_2_44·b_3_9·a_9_23
       + b_2_44·a_1_0·b_11_57 + b_2_44·b_10_46·a_1_0·b_1_2 + b_2_44·b_2_5·b_1_2·a_9_23
       + b_2_48·a_1_1·b_3_9 + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_48·a_1_1·b_1_26·a_3_4 + b_10_48·a_1_12·b_1_28
       + b_10_46·a_1_1·b_1_2·a_3_4·b_5_17 + b_10_46·a_1_1·b_1_26·a_3_4
       + b_10_46·a_1_12·b_1_23·b_5_17 + b_4_13·a_1_12·b_5_17·b_9_37
       + b_4_13·b_10_48·a_1_12·b_1_24 + b_4_13·b_10_47·a_1_12·b_1_24
       + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4 + b_4_132·b_10_48·a_1_12
       + b_4_133·a_1_1·b_1_24·a_3_4 + b_4_133·a_1_12·b_1_2·b_5_17
       + b_4_133·a_1_12·b_1_26 + b_4_134·a_1_1·a_3_4 + b_4_134·a_1_12·b_1_22
       + b_10_48·a_1_12·a_3_4·b_5_17 + b_10_46·a_1_12·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_25·a_3_4 + b_4_132·a_1_12·b_1_22·a_3_4·b_5_17
       + b_4_133·a_1_13·b_5_17
  95. b_9_37·b_11_57 + b_10_48·b_1_25·b_5_17 + b_10_47·b_10_48 + b_10_472 + b_10_46·b_10_48
       + b_10_462 + b_4_13·b_5_17·b_11_57 + b_4_13·b_10_48·b_1_2·b_5_17
       + b_4_13·b_10_48·b_1_26 + b_4_13·b_10_46·b_1_2·b_5_17 + b_4_132·b_10_48·b_1_22
       + b_4_132·b_10_47·b_1_22 + b_4_133·b_1_23·b_5_17 + b_4_134·b_1_2·b_3_9
       + b_2_4·b_4_13·b_1_2·b_13_74 + b_2_4·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_47
       + b_2_4·b_4_132·b_10_46 + b_2_4·b_4_133·b_1_2·b_5_17 + b_2_42·b_4_134
       + b_2_43·b_1_2·b_13_74 + b_2_43·b_2_5·b_1_2·b_11_57 + b_2_45·b_10_48
       + b_2_45·b_10_47 + b_2_45·b_2_5·b_4_132 + b_2_46·b_3_9·b_5_17
       + b_2_46·b_4_13·b_1_2·b_3_9 + b_2_46·b_4_132 + b_2_47·b_1_2·b_5_17
       + b_2_47·b_2_5·b_1_2·b_3_9 + b_2_47·b_2_5·b_4_13 + b_2_49·b_2_5 + b_2_410
       + a_9_23·b_11_57 + a_9_23·b_11_56 + b_10_48·b_1_27·a_3_4 + b_10_48·a_1_1·b_1_29
       + b_10_46·b_1_27·a_3_4 + b_10_46·a_1_1·b_1_29 + b_4_13·b_10_47·a_1_1·b_1_25
       + b_4_13·b_10_46·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_1·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_25 + b_4_132·b_3_9·a_9_23 + b_4_132·b_1_29·a_3_4
       + b_4_132·a_1_1·b_11_56 + b_4_132·b_10_47·a_1_1·b_1_2
       + b_4_132·b_10_46·a_1_1·b_1_2 + b_4_133·a_3_4·b_5_17 + b_4_133·b_1_25·a_3_4
       + b_4_133·a_1_1·b_1_27 + b_4_134·b_1_2·a_3_4 + b_2_4·b_4_132·b_1_2·a_9_23
       + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23 + b_2_42·b_4_13·b_3_9·a_9_23
       + b_2_43·b_5_17·a_9_23 + b_2_44·a_1_1·b_11_57 + b_2_45·b_1_2·a_9_23
       + b_2_48·a_1_1·b_3_9 + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_23·b_5_17 + b_10_46·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_23·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_24 + b_4_132·a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_132·b_10_48·a_1_12 + b_4_132·b_10_47·a_1_12
       + b_4_133·a_1_12·b_1_2·b_5_17 + b_4_134·a_1_1·a_3_4 + b_4_134·a_1_12·b_1_22
       + b_10_48·a_1_12·a_3_4·b_5_17 + b_10_48·a_1_12·b_1_25·a_3_4
       + b_10_46·a_1_12·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_25·a_3_4
       + b_4_13·b_10_48·a_1_12·b_1_2·a_3_4 + b_4_132·a_1_12·b_1_22·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_27·a_3_4 + b_4_133·a_1_13·b_5_17
  96. b_10_48·b_1_25·b_5_17 + b_10_48·b_1_210 + b_10_482 + b_10_472 + b_10_46·b_1_210
       + b_4_13·b_10_46·b_1_26 + b_4_132·b_10_48·b_1_22 + b_4_132·b_10_47·b_1_22
       + b_4_133·b_1_23·b_5_17 + b_4_134·b_1_2·b_3_9 + b_4_135 + b_2_4·b_4_132·b_10_48
       + b_2_4·b_4_132·b_10_47 + b_2_4·b_4_133·b_1_2·b_5_17 + b_2_4·b_2_5·b_4_134
       + b_2_42·b_5_17·b_11_57 + b_2_42·b_4_134 + b_2_42·b_2_5·b_1_2·b_13_74
       + b_2_42·b_2_5·b_4_13·b_10_48 + b_2_43·b_4_13·b_10_48 + b_2_43·b_2_5·b_1_2·b_11_57
       + b_2_43·b_2_5·b_4_133 + b_2_44·b_4_133 + b_2_44·b_2_5·b_10_48 + b_2_45·b_10_48
       + b_2_45·b_10_46 + b_2_46·b_3_9·b_5_17 + b_2_47·b_1_2·b_5_17
       + b_2_47·b_2_5·b_1_2·b_3_9 + b_2_48·b_1_2·b_3_9 + b_2_48·b_4_13 + b_2_49·b_2_5
       + b_2_410 + b_10_46·a_1_1·b_1_24·b_5_17 + b_10_46·a_1_1·b_1_29
       + b_4_13·b_10_48·a_1_1·b_1_25 + b_4_13·b_10_47·a_1_1·b_1_25
       + b_4_13·b_10_46·a_1_1·b_1_25 + b_4_132·b_1_24·a_3_4·b_5_17
       + b_4_132·b_10_48·a_1_1·b_1_2 + b_4_132·b_10_47·a_1_1·b_1_2
       + b_4_132·b_10_46·a_1_1·b_1_2 + b_4_133·a_1_1·b_1_22·b_5_17
       + b_4_133·a_1_1·b_1_27 + b_4_134·a_1_1·b_1_23 + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_43·b_4_13·b_1_2·a_9_23 + b_2_44·b_3_9·a_9_23 + b_2_44·a_1_1·b_11_57
       + b_2_44·b_10_46·a_1_1·b_1_2 + b_2_45·b_1_2·a_9_23 + b_10_48·a_1_1·b_1_26·a_3_4
       + b_10_48·a_1_12·b_1_28 + b_10_46·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_46·a_1_1·b_1_26·a_3_4 + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_48·a_1_12·b_1_24 + b_4_13·b_10_47·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4 + b_4_132·a_1_12·b_1_210
       + b_4_132·b_10_48·a_1_12 + b_4_132·b_10_47·a_1_12 + b_4_134·a_1_1·a_3_4
       + b_10_48·a_1_12·b_1_25·a_3_4 + b_10_46·a_1_12·a_3_4·b_5_17
       + b_4_13·b_10_47·a_1_12·b_1_2·a_3_4 + b_4_132·a_1_12·b_1_27·a_3_4
       + b_4_133·a_1_12·b_1_23·a_3_4 + b_4_133·a_1_13·b_5_17 + c_16_105·b_1_24
       + c_16_105·a_1_12·b_1_22
  97. b_9_37·b_11_57 + b_10_48·b_1_25·b_5_17 + b_10_48·b_1_210 + b_10_47·b_10_48
       + b_10_46·b_1_25·b_5_17 + b_10_46·b_10_47 + b_10_462 + b_4_13·b_5_17·b_11_57
       + b_4_13·b_3_9·b_13_74 + b_4_13·b_10_48·b_1_26 + b_4_13·b_10_46·b_1_2·b_5_17
       + b_4_13·b_10_46·b_1_26 + b_4_132·b_1_2·b_11_56 + b_4_132·b_10_48·b_1_22
       + b_4_132·b_10_47·b_1_22 + b_4_132·b_10_46·b_1_22 + b_4_133·b_1_23·b_5_17
       + b_4_134·b_1_2·b_3_9 + b_4_134·b_1_24 + b_2_5·b_4_132·b_10_48
       + b_2_4·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_46 + b_2_4·b_4_133·b_1_2·b_5_17
       + b_2_4·b_2_5·b_4_134 + b_2_42·b_5_17·b_11_57 + b_2_42·b_4_134
       + b_2_42·b_2_5·b_4_13·b_10_48 + b_2_43·b_2_5·b_1_2·b_11_57 + b_2_44·b_2_5·b_10_48
       + b_2_46·b_4_132 + b_2_47·b_1_2·b_5_17 + b_2_47·b_2_5·b_1_2·b_3_9
       + b_2_47·b_2_5·b_4_13 + b_2_48·b_4_13 + b_2_49·b_2_5 + b_2_410 + a_9_23·b_11_57
       + a_9_23·b_11_56 + b_10_48·a_1_1·b_1_24·b_5_17 + b_10_46·b_1_22·a_3_4·b_5_17
       + b_10_46·b_1_27·a_3_4 + b_10_46·a_1_1·b_1_29 + b_4_13·b_10_48·b_1_23·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_25 + b_4_13·b_10_47·a_1_1·b_1_25
       + b_4_13·b_10_46·a_1_1·b_5_17 + b_4_132·b_3_9·a_9_23 + b_4_132·b_1_24·a_3_4·b_5_17
       + b_4_132·b_1_29·a_3_4 + b_4_132·a_1_1·b_11_56 + b_4_132·b_10_47·a_1_1·b_1_2
       + b_4_133·a_3_4·b_5_17 + b_4_133·b_1_25·a_3_4 + b_2_4·b_4_132·b_1_2·a_9_23
       + b_2_42·b_4_13·b_3_9·a_9_23 + b_2_43·b_5_17·a_9_23 + b_2_43·b_4_13·b_1_2·a_9_23
       + b_2_44·b_2_5·b_1_2·a_9_23 + b_2_48·a_1_1·b_3_9 + b_2_48·a_1_0·b_3_9
       + b_2_49·a_1_1·b_1_2 + b_10_48·a_1_1·b_1_26·a_3_4 + b_10_46·a_1_1·b_1_26·a_3_4
       + b_10_46·a_1_12·b_1_23·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4 + b_4_132·a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_132·a_1_1·b_1_28·a_3_4 + b_4_132·a_1_12·b_1_210
       + b_4_132·b_10_46·a_1_12 + b_4_133·a_1_12·b_1_2·b_5_17 + b_4_134·a_1_1·a_3_4
       + b_10_48·a_1_12·a_3_4·b_5_17 + b_4_13·b_10_47·a_1_12·b_1_2·a_3_4
       + b_4_132·a_1_12·b_1_22·a_3_4·b_5_17 + b_4_133·a_1_12·b_1_23·a_3_4
       + b_4_133·a_1_13·b_5_17 + b_4_134·a_1_13·b_1_2 + b_2_4·b_2_5·c_16_105
       + c_16_105·a_1_1·b_1_23 + c_16_105·a_1_13·b_1_2
  98. b_10_48·b_1_210 + b_10_46·b_1_25·b_5_17 + b_10_46·b_10_48 + b_10_46·b_10_47
       + b_10_462 + b_4_13·b_3_9·b_13_74 + b_4_13·b_10_48·b_1_2·b_5_17
       + b_4_132·b_1_2·b_11_56 + b_4_132·b_10_47·b_1_22 + b_4_132·b_10_46·b_1_22
       + b_4_133·b_1_28 + b_2_5·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_46
       + b_2_42·b_4_134 + b_2_42·b_2_5·b_1_2·b_13_74 + b_2_42·b_2_5·b_4_13·b_10_48
       + b_2_43·b_4_13·b_10_47 + b_2_43·b_2_5·b_1_2·b_11_57 + b_2_44·b_1_2·b_11_57
       + b_2_44·b_4_133 + b_2_45·b_2_5·b_4_132 + b_2_46·b_3_9·b_5_17
       + b_2_46·b_4_13·b_1_2·b_3_9 + b_2_47·b_1_2·b_5_17 + b_2_48·b_1_2·b_3_9
       + b_2_49·b_2_5 + b_2_410 + a_9_23·b_11_57 + b_10_48·b_1_27·a_3_4
       + b_10_48·a_1_1·b_1_24·b_5_17 + b_10_48·a_1_1·b_1_29 + b_10_47·b_1_2·a_9_23
       + b_10_46·b_1_22·a_3_4·b_5_17 + b_10_46·b_1_27·a_3_4 + b_10_46·a_1_1·b_1_24·b_5_17
       + b_4_13·b_10_48·b_1_23·a_3_4 + b_4_13·b_10_47·b_1_23·a_3_4
       + b_4_13·b_10_46·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_25
       + b_4_132·b_1_29·a_3_4 + b_4_132·b_10_48·a_1_1·b_1_2 + b_4_133·b_1_25·a_3_4
       + b_4_133·a_1_1·b_1_22·b_5_17 + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_43·b_2_5·b_3_9·a_9_23 + b_2_44·a_1_1·b_11_57 + b_2_44·b_10_46·a_1_0·b_1_2
       + b_2_44·b_2_5·b_1_2·a_9_23 + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_28 + b_10_46·a_1_1·b_1_26·a_3_4
       + b_4_13·a_1_12·b_5_17·b_9_37 + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_47·a_1_12·b_1_24 + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4
       + b_4_132·a_1_1·b_1_28·a_3_4 + b_4_132·b_10_47·a_1_12
       + b_4_133·a_1_1·b_1_24·a_3_4 + b_4_134·a_1_1·a_3_4 + b_10_48·a_1_12·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_25·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_2·a_3_4
       + b_4_132·a_1_12·b_1_27·a_3_4 + b_4_133·a_1_12·b_1_23·a_3_4
       + b_4_133·a_1_13·b_5_17 + b_4_134·a_1_13·b_1_2 + c_16_105·a_1_1·b_1_23
       + b_2_4·c_16_105·a_1_1·b_1_2 + c_16_105·a_1_13·b_1_2
  99. b_10_48·b_1_210 + b_10_472 + b_10_46·b_10_48 + b_10_462 + b_4_13·b_3_9·b_13_74
       + b_4_13·b_10_48·b_1_2·b_5_17 + b_4_13·b_10_46·b_1_2·b_5_17 + b_4_132·b_1_2·b_11_56
       + b_4_134·b_1_24 + b_2_5·b_4_13·b_1_2·b_13_74 + b_2_5·b_4_132·b_10_48
       + b_2_4·b_2_5·b_4_134 + b_2_42·b_2_5·b_1_2·b_13_74 + b_2_42·b_2_5·b_4_13·b_10_48
       + b_2_43·b_1_2·b_13_74 + b_2_43·b_4_13·b_10_48 + b_2_43·b_4_13·b_10_46
       + b_2_43·b_2_5·b_1_2·b_11_57 + b_2_43·b_2_5·b_4_133 + b_2_44·b_1_2·b_11_57
       + b_2_44·b_2_5·b_10_48 + b_2_45·b_10_48 + b_2_45·b_10_46 + b_2_46·b_3_9·b_5_17
       + b_2_46·b_4_13·b_1_2·b_3_9 + b_2_47·b_1_2·b_5_17 + b_2_47·b_2_5·b_4_13
       + b_2_48·b_1_2·b_3_9 + b_2_48·b_4_13 + b_2_49·b_2_5 + b_2_410 + a_9_23·b_11_56
       + b_10_48·b_1_22·a_3_4·b_5_17 + b_10_48·b_1_27·a_3_4 + b_10_48·a_1_1·b_1_24·b_5_17
       + b_10_48·a_1_1·b_1_29 + b_10_47·b_1_2·a_9_23 + b_10_46·b_1_22·a_3_4·b_5_17
       + b_10_46·b_1_27·a_3_4 + b_10_46·a_1_1·b_1_24·b_5_17 + b_4_13·b_10_48·b_1_23·a_3_4
       + b_4_13·b_10_46·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_1·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_25 + b_4_132·b_3_9·a_9_23
       + b_4_132·b_1_24·a_3_4·b_5_17 + b_4_133·a_1_1·b_1_27 + b_4_134·b_1_2·a_3_4
       + b_2_4·b_4_13·b_5_17·a_9_23 + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_42·b_4_13·b_3_9·a_9_23 + b_2_43·b_2_5·b_3_9·a_9_23 + b_2_44·a_1_1·b_11_57
       + b_2_44·b_10_46·a_1_1·b_1_2 + b_2_44·b_2_5·b_1_2·a_9_23
       + b_10_48·a_1_12·b_1_23·b_5_17 + b_10_46·a_1_1·b_1_26·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_24
       + b_4_13·b_10_46·a_1_12·b_1_24 + b_4_132·a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_210 + b_4_132·b_10_46·a_1_12
       + b_4_133·a_1_12·b_1_2·b_5_17 + b_4_133·a_1_12·b_1_26 + b_4_134·a_1_1·a_3_4
       + b_4_134·a_1_12·b_1_22 + b_10_48·a_1_12·a_3_4·b_5_17
       + b_10_46·a_1_12·a_3_4·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_2·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_2·a_3_4 + b_4_132·a_1_12·b_1_22·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_27·a_3_4 + b_4_133·a_1_13·b_5_17 + c_16_105·a_1_1·b_1_23
       + b_2_4·c_16_105·a_1_0·b_1_2
  100. b_10_48·b_1_25·b_5_17 + b_10_48·b_1_210 + b_10_482 + b_10_472 + b_10_462
       + b_4_13·b_10_46·b_1_2·b_5_17 + b_4_13·b_10_46·b_1_26 + b_4_132·b_10_48·b_1_22
       + b_4_132·b_10_47·b_1_22 + b_4_132·b_10_46·b_1_22 + b_4_133·b_1_23·b_5_17
       + b_4_134·b_1_2·b_3_9 + b_4_135 + b_2_5·b_4_13·b_1_2·b_13_74
       + b_2_4·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_47 + b_2_42·b_4_13·b_1_2·b_11_57
       + b_2_42·b_2_5·b_1_2·b_13_74 + b_2_43·b_4_13·b_10_48 + b_2_43·b_2_5·b_1_2·b_11_57
       + b_2_43·b_2_5·b_4_133 + b_2_45·b_2_5·b_4_132 + b_2_47·b_1_2·b_5_16
       + b_2_47·b_2_5·b_1_2·b_3_9 + b_2_48·b_1_2·b_3_9 + a_9_23·b_11_56
       + b_10_48·b_1_22·a_3_4·b_5_17 + b_10_48·a_1_1·b_1_29 + b_10_46·b_1_27·a_3_4
       + b_10_46·a_1_1·b_1_24·b_5_17 + b_10_46·a_1_1·b_1_29 + b_4_13·b_10_48·a_1_1·b_5_17
       + b_4_13·b_10_47·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_1·b_5_17 + b_4_132·b_3_9·a_9_23
       + b_4_132·b_1_29·a_3_4 + b_4_132·b_10_47·a_1_1·b_1_2
       + b_4_132·b_10_46·a_1_1·b_1_2 + b_4_133·a_3_4·b_5_17
       + b_4_133·a_1_1·b_1_22·b_5_17 + b_4_133·a_1_1·b_1_27 + b_4_134·b_1_2·a_3_4
       + b_4_134·a_1_1·b_1_23 + b_2_4·b_4_13·b_5_17·a_9_23 + b_2_4·b_4_132·b_1_2·a_9_23
       + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23 + b_2_42·b_4_13·b_3_9·a_9_23
       + b_2_43·b_5_17·a_9_23 + b_2_44·b_10_46·a_1_1·b_1_2 + b_2_44·b_10_46·a_1_0·b_1_2
       + b_2_44·b_2_5·b_1_2·a_9_23 + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_48·a_1_1·b_1_26·a_3_4 + b_10_48·a_1_12·b_1_23·b_5_17
       + b_10_48·a_1_12·b_1_28 + b_10_46·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_23·b_5_17 + b_10_46·a_1_12·b_1_28
       + b_4_13·a_1_12·b_5_17·b_9_37 + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_24
       + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_24
       + b_4_132·b_10_46·a_1_12 + b_4_134·a_1_12·b_1_22
       + b_10_48·a_1_12·b_1_25·a_3_4 + b_10_46·a_1_12·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_12·b_1_2·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_2·a_3_4
       + b_4_133·a_1_13·b_5_17 + b_4_134·a_1_13·b_1_2 + c_16_105·b_1_24
       + b_2_42·c_16_105
  101. b_9_37·b_11_56 + b_10_48·b_1_25·b_5_17 + b_10_482 + b_10_472
       + b_10_46·b_1_25·b_5_17 + b_10_46·b_1_210 + b_10_46·b_10_48 + b_10_46·b_10_47
       + b_10_462 + b_4_13·b_5_17·b_11_56 + b_4_13·b_3_9·b_13_74
       + b_4_13·b_10_48·b_1_2·b_5_17 + b_4_13·b_10_48·b_1_26 + b_4_13·b_10_46·b_1_2·b_5_17
       + b_4_13·b_10_46·b_1_26 + b_4_132·b_1_2·b_11_56 + b_4_133·b_1_28
       + b_4_134·b_1_2·b_3_9 + b_4_134·b_1_24 + b_4_135 + b_2_5·b_4_13·b_1_2·b_13_74
       + b_2_5·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_47 + b_2_4·b_4_132·b_10_46
       + b_2_42·b_5_17·b_11_57 + b_2_42·b_4_13·b_1_2·b_11_57
       + b_2_42·b_2_5·b_4_13·b_10_48 + b_2_44·b_1_2·b_11_57 + b_2_44·b_4_133
       + b_2_45·b_10_48 + b_2_45·b_10_47 + b_2_45·b_2_5·b_4_132 + b_2_46·b_3_9·b_5_17
       + b_2_46·b_4_132 + b_2_47·b_2_5·b_1_2·b_3_9 + b_2_47·b_2_5·b_4_13 + b_2_48·b_4_13
       + a_9_23·b_11_57 + a_9_23·b_11_56 + b_10_48·b_1_27·a_3_4
       + b_10_48·a_1_1·b_1_24·b_5_17 + b_10_48·a_1_1·b_1_29 + b_10_47·b_1_2·a_9_23
       + b_10_46·b_1_22·a_3_4·b_5_17 + b_10_46·b_1_27·a_3_4 + b_10_46·a_1_1·b_1_24·b_5_17
       + b_10_46·a_1_1·b_1_29 + b_4_13·b_10_48·b_1_23·a_3_4 + b_4_13·b_10_48·a_1_1·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_25 + b_4_13·b_10_47·b_1_23·a_3_4
       + b_4_13·b_10_46·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_1·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_25 + b_4_132·b_3_9·a_9_23
       + b_4_132·b_1_24·a_3_4·b_5_17 + b_4_132·b_1_29·a_3_4
       + b_4_132·b_10_48·a_1_1·b_1_2 + b_4_132·b_10_47·a_1_1·b_1_2 + b_4_133·a_3_4·b_5_17
       + b_2_4·b_4_13·b_5_17·a_9_23 + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_43·b_5_17·a_9_23 + b_2_43·b_4_13·b_1_2·a_9_23 + b_2_43·b_2_5·b_3_9·a_9_23
       + b_2_44·b_10_46·a_1_1·b_1_2 + b_2_44·b_10_46·a_1_0·b_1_2 + b_2_48·a_1_0·b_3_9
       + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17 + b_10_48·a_1_12·b_1_28
       + b_10_46·a_1_1·b_1_2·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_23·b_5_17
       + b_4_13·a_1_12·b_5_17·b_9_37 + b_4_13·b_10_48·a_1_12·b_1_24
       + b_4_13·b_10_47·a_1_12·b_1_24 + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_24 + b_4_132·a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_132·a_1_12·b_1_210 + b_4_132·b_10_48·a_1_12 + b_4_132·b_10_47·a_1_12
       + b_4_133·a_1_12·b_1_2·b_5_17 + b_4_134·a_1_1·a_3_4 + b_4_134·a_1_12·b_1_22
       + b_10_48·a_1_12·b_1_25·a_3_4 + b_10_46·a_1_12·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_25·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_2·a_3_4
       + b_4_133·a_1_13·b_5_17 + b_4_134·a_1_13·b_1_2 + c_16_105·b_1_24
       + c_16_105·a_1_1·a_3_4 + c_16_105·a_1_13·b_1_2
  102. b_9_37·b_11_57 + b_9_37·b_11_56 + b_10_48·b_1_25·b_5_17 + b_10_482
       + b_10_46·b_1_210 + b_10_46·b_10_48 + b_10_462 + b_4_13·b_5_17·b_11_56
       + b_4_13·b_3_9·b_13_74 + b_4_13·b_10_48·b_1_2·b_5_17 + b_4_13·b_10_48·b_1_26
       + b_4_132·b_1_2·b_11_57 + b_4_132·b_1_2·b_11_56 + b_4_132·b_10_47·b_1_22
       + b_4_132·b_10_46·b_1_22 + b_4_133·b_1_28 + b_4_134·b_1_2·b_3_9 + b_4_135
       + b_2_5·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_47 + b_2_4·b_4_133·b_1_2·b_5_17
       + b_2_42·b_2_5·b_1_2·b_13_74 + b_2_42·b_2_5·b_4_13·b_10_48 + b_2_43·b_1_2·b_13_74
       + b_2_43·b_4_13·b_10_47 + b_2_43·b_2_5·b_1_2·b_11_57 + b_2_43·b_2_5·b_4_133
       + b_2_45·b_10_47 + b_2_45·b_10_46 + b_2_46·b_4_13·b_1_2·b_3_9 + b_2_46·b_4_132
       + b_2_47·b_1_2·b_5_16 + b_2_47·b_2_5·b_1_2·b_3_9 + a_9_23·b_11_56
       + b_10_48·b_1_27·a_3_4 + b_10_47·b_1_2·a_9_23 + b_10_46·b_1_2·a_9_23
       + b_10_46·b_1_22·a_3_4·b_5_17 + b_10_46·b_1_27·a_3_4 + b_4_13·b_10_48·b_1_23·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_25 + b_4_13·b_10_47·a_1_1·b_1_25
       + b_4_13·b_10_46·b_1_23·a_3_4 + b_4_132·b_3_9·a_9_23
       + b_4_132·b_1_24·a_3_4·b_5_17 + b_4_132·b_10_47·a_1_1·b_1_2 + b_4_134·b_1_2·a_3_4
       + b_2_4·b_4_13·b_5_17·a_9_23 + b_2_43·b_5_17·a_9_23 + b_2_43·b_4_13·b_1_2·a_9_23
       + b_2_44·a_1_1·b_11_57 + b_2_44·b_10_46·a_1_0·b_1_2 + b_2_44·b_2_5·b_1_2·a_9_23
       + b_2_48·a_1_0·b_3_9 + b_2_49·a_1_1·b_1_2 + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_28 + b_10_46·a_1_1·b_1_26·a_3_4
       + b_10_46·a_1_12·b_1_23·b_5_17 + b_4_13·a_1_12·b_5_17·b_9_37
       + b_4_13·b_10_47·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_24
       + b_4_13·b_10_46·a_1_1·b_1_22·a_3_4 + b_4_132·a_1_12·b_1_210
       + b_4_132·b_10_48·a_1_12 + b_4_133·a_1_12·b_1_2·b_5_17 + b_4_134·a_1_1·a_3_4
       + b_10_48·a_1_12·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_25·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_2·a_3_4 + b_4_133·a_1_12·b_1_23·a_3_4
       + b_4_133·a_1_13·b_5_17 + b_4_134·a_1_13·b_1_2 + c_16_105·b_1_24
       + c_16_105·a_1_1·b_3_9 + c_16_105·a_1_1·b_1_23
  103. b_9_37·b_11_57 + b_10_48·b_1_25·b_5_17 + b_10_48·b_1_210 + b_10_47·b_10_48
       + b_4_13·b_5_17·b_11_57 + b_4_13·b_3_9·b_13_74 + b_4_13·b_10_48·b_1_26
       + b_4_132·b_1_2·b_11_56 + b_4_132·b_10_48·b_1_22 + b_4_132·b_10_47·b_1_22
       + b_4_133·b_1_23·b_5_17 + b_4_134·b_1_2·b_3_9 + b_4_134·b_1_24
       + b_2_5·b_4_13·b_1_2·b_13_74 + b_2_5·b_4_132·b_10_48 + b_2_4·b_4_132·b_10_48
       + b_2_4·b_4_132·b_10_47 + b_2_4·b_4_133·b_1_2·b_5_17 + b_2_42·b_5_17·b_11_57
       + b_2_42·b_4_134 + b_2_42·b_2_5·b_1_2·b_13_74 + b_2_42·b_2_5·b_4_13·b_10_48
       + b_2_43·b_1_2·b_13_74 + b_2_43·b_4_13·b_10_48 + b_2_43·b_4_13·b_10_47
       + b_2_44·b_4_133 + b_2_44·b_2_5·b_10_48 + b_2_45·b_10_47 + b_2_46·b_3_9·b_5_17
       + b_2_46·b_4_132 + b_2_47·b_1_2·b_5_17 + b_2_47·b_2_5·b_1_2·b_3_9
       + b_2_47·b_2_5·b_4_13 + b_2_49·b_2_5 + b_2_410 + b_10_48·b_1_22·a_3_4·b_5_17
       + b_10_48·a_1_1·b_1_24·b_5_17 + b_10_47·b_1_2·a_9_23 + b_10_46·b_1_2·a_9_23
       + b_10_46·b_1_22·a_3_4·b_5_17 + b_10_46·a_1_1·b_1_24·b_5_17
       + b_10_46·a_1_1·b_1_29 + b_4_13·b_10_48·b_1_23·a_3_4
       + b_4_13·b_10_47·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_25
       + b_4_132·b_1_29·a_3_4 + b_4_132·a_1_1·b_11_56 + b_4_132·b_10_47·a_1_1·b_1_2
       + b_4_132·b_10_46·a_1_1·b_1_2 + b_4_133·a_3_4·b_5_17 + b_4_133·b_1_25·a_3_4
       + b_2_4·b_4_13·b_5_17·a_9_23 + b_2_4·b_4_132·b_1_2·a_9_23
       + b_2_4·b_2_5·b_4_13·b_3_9·a_9_23 + b_2_42·b_4_13·b_3_9·a_9_23
       + b_2_44·b_2_5·b_1_2·a_9_23 + b_2_48·a_1_0·b_3_9 + b_10_48·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_24
       + b_4_13·b_10_47·a_1_1·b_1_22·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_24
       + b_4_132·a_1_1·b_1_28·a_3_4 + b_4_132·a_1_12·b_1_210
       + b_4_132·b_10_48·a_1_12 + b_4_133·a_1_1·b_1_24·a_3_4
       + b_4_133·a_1_12·b_1_2·b_5_17 + b_10_48·a_1_12·b_1_25·a_3_4
       + b_10_46·a_1_12·b_1_25·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_2·a_3_4
       + c_16_105·a_1_1·b_1_23 + c_16_105·a_1_0·b_3_9
  104. b_10_48·b_11_57 + b_10_47·b_11_57 + b_10_47·b_11_56 + b_10_46·b_11_57 + b_10_46·b_11_56
       + b_10_46·b_10_48·b_1_2 + b_10_46·b_10_47·b_1_2 + b_10_462·b_1_2
       + b_4_13·b_1_2·b_5_17·b_11_57 + b_4_13·b_1_2·b_5_17·b_11_56
       + b_4_13·b_1_2·b_3_9·b_13_74 + b_4_13·b_10_48·b_1_22·b_5_17
       + b_4_13·b_10_46·b_1_27 + b_4_132·b_13_74 + b_4_133·b_1_29 + b_4_134·b_5_16
       + b_4_134·b_1_25 + b_4_135·b_1_2 + b_2_5·b_4_132·b_11_57
       + b_2_5·b_4_132·b_10_48·b_1_2 + b_2_4·b_4_132·b_11_57 + b_2_4·b_4_134·b_3_9
       + b_2_4·b_2_5·b_4_13·b_13_74 + b_2_42·b_4_133·b_5_17 + b_2_42·b_2_5·b_4_13·b_11_57
       + b_2_43·b_4_13·b_11_56 + b_2_43·b_4_13·b_10_47·b_1_2
       + b_2_43·b_4_13·b_10_46·b_1_2 + b_2_44·b_13_74 + b_2_44·b_4_132·b_5_17
       + b_2_44·b_4_133·b_1_2 + b_2_45·b_11_56 + b_2_45·b_10_46·b_1_2
       + b_2_45·b_4_132·b_3_9 + b_2_46·b_4_132·b_1_2 + b_2_46·b_2_5·b_4_13·b_3_9
       + b_2_47·b_2_5·b_4_13·b_1_2 + b_2_48·b_5_17 + b_2_48·b_4_13·b_1_2
       + b_2_49·b_2_5·b_1_2 + b_2_410·b_1_2 + b_10_48·b_1_28·a_3_4 + b_10_47·b_10_48·a_1_1
       + b_4_13·b_10_46·a_1_1·b_1_26 + b_4_132·a_1_1·b_1_2·b_11_56
       + b_4_132·b_10_48·a_1_1·b_1_22 + b_4_132·b_10_47·a_1_1·b_1_22
       + b_4_132·b_10_46·a_3_4 + b_4_133·b_1_26·a_3_4 + b_4_133·a_1_1·b_1_23·b_5_17
       + b_4_134·a_1_1·b_1_24 + b_2_4·b_10_48·a_9_23 + b_2_4·b_10_46·a_9_23
       + b_2_42·b_3_9·b_5_17·a_9_23 + b_2_42·b_4_13·b_1_2·b_3_9·a_9_23
       + b_2_44·b_10_46·a_3_4 + b_2_44·b_4_13·a_9_23 + b_2_45·b_10_46·a_1_0
       + b_2_410·a_1_1 + b_10_48·a_1_1·b_1_22·a_3_4·b_5_17 + b_10_48·a_1_1·b_1_27·a_3_4
       + b_10_48·a_1_12·b_1_29 + b_10_46·a_1_1·b_1_22·a_3_4·b_5_17
       + b_10_46·a_1_1·b_1_27·a_3_4 + b_4_13·b_10_48·a_1_1·b_1_23·a_3_4
       + b_4_13·b_10_47·a_1_1·b_1_23·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_25
       + b_4_13·b_10_46·a_1_12·b_5_17 + b_4_132·a_1_1·b_1_24·a_3_4·b_5_17
       + b_4_132·a_1_1·b_1_29·a_3_4 + b_4_132·b_10_47·a_1_12·b_1_2
       + b_4_132·b_10_46·a_1_12·b_1_2 + b_4_133·a_1_1·a_3_4·b_5_17
       + b_4_134·a_1_1·b_1_2·a_3_4 + b_4_134·a_1_12·b_1_23
       + b_10_48·a_1_12·b_1_2·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_26·a_3_4
       + b_4_13·b_10_47·a_1_12·b_1_22·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_22·a_3_4
       + b_4_132·a_1_12·b_1_23·a_3_4·b_5_17 + b_4_132·a_1_12·b_1_28·a_3_4
       + b_4_132·b_10_48·a_1_13 + b_4_133·a_1_13·b_1_2·b_5_17 + b_4_134·a_1_12·a_3_4
       + b_2_5·c_16_105·a_3_4 + b_2_42·c_16_105·a_1_1 + c_16_105·a_1_12·b_1_23
  105. b_10_48·b_11_56 + b_10_46·b_11_56 + b_10_46·b_10_47·b_1_2 + b_10_462·b_1_2
       + b_4_13·b_10_48·b_1_27 + b_4_13·b_10_46·b_1_22·b_5_17 + b_4_133·b_9_37
       + b_4_133·b_1_24·b_5_17 + b_4_133·b_1_29 + b_4_134·b_5_17 + b_4_134·b_5_16
       + b_4_135·b_1_2 + b_2_5·b_4_132·b_11_57 + b_2_4·b_4_132·b_11_57
       + b_2_4·b_2_5·b_4_13·b_13_74 + b_2_42·b_4_133·b_5_17 + b_2_42·b_4_134·b_1_2
       + b_2_42·b_2_5·b_4_13·b_11_57 + b_2_43·b_4_13·b_11_57 + b_2_43·b_4_13·b_11_56
       + b_2_44·b_13_74 + b_2_44·b_4_132·b_5_17 + b_2_44·b_4_133·b_1_2
       + b_2_45·b_10_46·b_1_2 + b_2_46·b_4_13·b_5_17 + b_2_46·b_4_132·b_1_2
       + b_2_46·b_2_5·b_4_13·b_3_9 + b_2_47·b_4_13·b_3_9 + b_2_47·b_2_5·b_4_13·b_1_2
       + b_2_49·b_3_9 + b_1_2·a_9_23·b_11_57 + b_10_48·b_1_23·a_3_4·b_5_17
       + b_10_48·b_1_28·a_3_4 + b_10_46·b_1_28·a_3_4 + b_10_46·b_10_48·a_1_1
       + b_10_46·b_10_47·a_1_1 + b_10_462·a_1_1 + b_4_13·b_10_48·b_1_24·a_3_4
       + b_4_13·b_10_46·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_2·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_26 + b_4_132·a_1_1·b_1_2·b_11_56
       + b_4_132·b_10_47·a_3_4 + b_4_132·b_10_46·a_3_4 + b_4_132·b_10_46·a_1_1·b_1_22
       + b_4_133·a_9_23 + b_4_133·b_1_2·a_3_4·b_5_17 + b_4_133·b_1_26·a_3_4
       + b_4_135·a_1_1 + b_2_5·b_10_48·a_9_23 + b_2_4·b_10_48·a_9_23 + b_2_4·b_10_47·a_9_23
       + b_2_4·b_10_46·a_9_23 + b_2_42·b_3_9·b_5_17·a_9_23
       + b_2_42·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_42·b_4_132·a_9_23
       + b_2_43·b_2_5·b_1_2·b_3_9·a_9_23 + b_2_48·b_2_5·a_3_4 + b_2_49·a_3_4
       + b_2_410·a_1_1 + b_10_48·a_1_12·b_1_29 + b_10_46·a_1_12·b_1_29
       + b_4_13·b_10_48·a_1_12·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_25
       + b_4_13·b_10_47·a_1_1·b_1_23·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_25
       + b_4_13·b_10_46·a_1_12·b_5_17 + b_4_132·a_1_1·b_1_24·a_3_4·b_5_17
       + b_4_132·a_1_1·b_1_29·a_3_4 + b_4_132·a_1_12·b_11_56
       + b_4_132·b_10_47·a_1_12·b_1_2 + b_4_133·a_1_12·b_1_22·b_5_17
       + b_4_134·a_1_1·b_1_2·a_3_4 + b_10_48·a_1_12·b_1_2·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_26·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_22·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_22·a_3_4 + b_4_132·a_1_12·b_1_28·a_3_4
       + b_4_132·b_10_48·a_1_13 + b_4_133·a_1_13·b_1_2·b_5_17 + c_16_105·b_1_25
       + b_2_4·b_2_5·c_16_105·b_1_2 + b_2_42·c_16_105·b_1_2 + c_16_105·b_1_22·a_3_4
       + b_2_42·c_16_105·a_1_1 + c_16_105·a_1_1·b_1_2·a_3_4 + c_16_105·a_1_13·b_1_22
  106. b_10_48·b_11_57 + b_10_47·b_11_57 + b_10_47·b_10_48·b_1_2 + b_10_46·b_11_57
       + b_10_46·b_10_47·b_1_2 + b_10_462·b_1_2 + b_4_13·b_1_2·b_3_9·b_13_74
       + b_4_13·b_10_46·b_1_22·b_5_17 + b_4_132·b_13_74 + b_4_132·b_10_46·b_1_23
       + b_4_133·b_1_24·b_5_17 + b_4_134·b_5_16 + b_4_135·b_1_2 + b_2_5·b_4_132·b_11_57
       + b_2_4·b_4_134·b_3_9 + b_2_4·b_2_5·b_4_13·b_13_74 + b_2_42·b_4_13·b_13_74
       + b_2_42·b_4_134·b_1_2 + b_2_43·b_4_13·b_10_47·b_1_2
       + b_2_43·b_4_13·b_10_46·b_1_2 + b_2_43·b_2_5·b_13_74 + b_2_44·b_4_132·b_5_17
       + b_2_44·b_4_133·b_1_2 + b_2_44·b_2_5·b_11_57 + b_2_45·b_11_57 + b_2_45·b_11_56
       + b_2_45·b_10_46·b_1_2 + b_2_46·b_4_132·b_1_2 + b_2_46·b_2_5·b_4_13·b_3_9
       + b_2_47·b_4_13·b_3_9 + b_2_48·b_5_17 + b_2_48·b_5_16 + b_2_49·b_2_5·b_1_2
       + b_2_410·b_1_2 + b_1_2·a_9_23·b_11_57 + b_10_48·b_1_23·a_3_4·b_5_17
       + b_10_48·b_1_28·a_3_4 + b_10_46·b_1_28·a_3_4 + b_10_46·b_10_48·a_1_1
       + b_4_13·a_1_1·b_5_17·b_11_56 + b_4_13·b_10_48·b_1_24·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_26 + b_4_13·b_10_47·b_1_24·a_3_4
       + b_4_13·b_10_46·b_1_24·a_3_4 + b_4_132·a_1_1·b_1_2·b_11_56
       + b_4_132·b_10_48·a_3_4 + b_4_132·b_10_47·a_3_4 + b_4_132·b_10_47·a_1_1·b_1_22
       + b_4_132·b_10_46·a_3_4 + b_4_132·b_10_46·a_1_1·b_1_22 + b_4_133·a_9_23
       + b_4_135·a_1_1 + b_2_5·b_10_48·a_9_23 + b_2_4·b_10_48·a_9_23 + b_2_4·b_10_47·a_9_23
       + b_2_4·b_10_46·a_9_23 + b_2_42·b_3_9·b_5_17·a_9_23
       + b_2_43·b_2_5·b_1_2·b_3_9·a_9_23 + b_2_44·b_1_2·b_3_9·a_9_23
       + b_2_44·b_10_47·a_3_4 + b_2_44·b_10_46·a_3_4 + b_2_45·b_10_46·a_1_0
       + b_2_45·b_2_5·a_9_23 + b_2_48·b_2_5·a_3_4 + b_2_410·a_1_1
       + b_10_48·a_1_1·b_1_27·a_3_4 + b_10_48·a_1_12·b_1_24·b_5_17
       + b_10_46·a_1_1·b_1_22·a_3_4·b_5_17 + b_10_46·a_1_1·b_1_27·a_3_4
       + b_10_46·a_1_12·b_1_29 + b_4_13·b_10_47·a_1_12·b_1_25
       + b_4_13·b_10_46·a_1_1·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_25
       + b_4_132·a_1_1·b_1_24·a_3_4·b_5_17 + b_4_132·a_1_1·b_1_29·a_3_4
       + b_4_132·a_1_12·b_11_56 + b_4_132·b_10_48·a_1_12·b_1_2
       + b_4_132·b_10_47·a_1_12·b_1_2 + b_4_133·a_1_12·b_1_22·b_5_17
       + b_4_133·a_1_12·b_1_27 + b_4_134·a_1_12·b_1_23
       + b_10_46·a_1_12·b_1_2·a_3_4·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_22·a_3_4
       + b_4_132·a_1_12·b_1_28·a_3_4 + b_4_132·b_10_48·a_1_13
       + b_4_133·a_1_12·b_1_24·a_3_4 + b_4_133·a_1_13·b_1_2·b_5_17
       + b_4_134·a_1_12·a_3_4 + b_2_4·b_2_5·c_16_105·b_1_2 + b_2_42·c_16_105·a_1_1
       + b_2_42·c_16_105·a_1_0 + c_16_105·a_1_12·b_1_23 + c_16_105·a_1_12·a_3_4
  107. b_10_48·b_11_56 + b_10_46·b_10_48·b_1_2 + b_4_13·b_1_2·b_5_17·b_11_56
       + b_4_13·b_1_2·b_3_9·b_13_74 + b_4_13·b_10_48·b_1_22·b_5_17
       + b_4_13·b_10_48·b_1_27 + b_4_13·b_10_46·b_1_27 + b_4_132·b_10_47·b_1_23
       + b_4_133·b_9_37 + b_4_133·b_1_24·b_5_17 + b_4_134·b_5_17 + b_4_134·b_5_16
       + b_4_134·b_1_25 + b_4_135·b_1_2 + b_2_4·b_4_132·b_10_47·b_1_2
       + b_2_4·b_4_134·b_3_9 + b_2_42·b_4_13·b_13_74 + b_2_42·b_4_133·b_5_17
       + b_2_42·b_4_134·b_1_2 + b_2_42·b_2_5·b_4_13·b_11_57 + b_2_43·b_4_13·b_11_56
       + b_2_43·b_4_13·b_10_47·b_1_2 + b_2_43·b_4_13·b_10_46·b_1_2 + b_2_44·b_2_5·b_11_57
       + b_2_45·b_11_56 + b_2_45·b_10_47·b_1_2 + b_2_46·b_4_13·b_5_17
       + b_2_46·b_4_132·b_1_2 + b_2_47·b_2_5·b_4_13·b_1_2 + b_2_48·b_2_5·b_3_9
       + b_1_2·a_9_23·b_11_57 + b_10_48·b_1_23·a_3_4·b_5_17 + b_10_46·b_1_23·a_3_4·b_5_17
       + b_10_462·a_1_1 + b_4_13·b_10_46·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_26
       + b_4_132·a_1_1·b_1_2·b_11_56 + b_4_132·b_10_48·a_3_4
       + b_4_132·b_10_47·a_1_1·b_1_22 + b_4_132·b_10_46·a_3_4
       + b_4_133·a_1_1·b_1_23·b_5_17 + b_4_133·a_1_1·b_1_28 + b_4_134·b_1_22·a_3_4
       + b_4_134·a_1_1·b_1_24 + b_2_4·b_10_47·a_9_23 + b_2_4·b_10_46·a_9_23
       + b_2_4·b_2_5·b_4_132·a_9_23 + b_2_44·b_10_47·a_3_4 + b_2_44·b_10_46·a_3_4
       + b_2_44·b_4_13·a_9_23 + b_2_45·b_10_46·a_1_1 + b_2_45·b_10_46·a_1_0
       + b_2_45·b_2_5·a_9_23 + b_2_49·a_3_4 + b_10_48·a_1_1·b_1_22·a_3_4·b_5_17
       + b_10_48·a_1_12·b_1_29 + b_10_46·a_1_1·b_1_22·a_3_4·b_5_17
       + b_10_46·a_1_1·b_1_27·a_3_4 + b_10_46·a_1_12·b_1_24·b_5_17
       + b_4_13·b_10_48·a_1_12·b_5_17 + b_4_13·b_10_47·a_1_1·b_1_23·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_12·b_5_17
       + b_4_132·a_1_1·b_1_24·a_3_4·b_5_17 + b_4_132·a_1_12·b_11_56
       + b_4_132·b_10_48·a_1_12·b_1_2 + b_4_132·b_10_47·a_1_12·b_1_2
       + b_4_133·a_1_1·b_1_25·a_3_4 + b_4_133·a_1_12·b_1_27
       + b_10_46·a_1_12·b_1_2·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_26·a_3_4
       + b_4_13·b_10_47·a_1_12·b_1_22·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_22·a_3_4
       + b_4_132·a_1_12·b_1_23·a_3_4·b_5_17 + b_4_133·a_1_13·b_1_2·b_5_17
       + b_4_134·a_1_12·a_3_4 + c_16_105·b_1_25 + b_2_4·b_2_5·c_16_105·b_1_2
       + b_2_42·c_16_105·b_1_2 + c_16_105·b_1_22·a_3_4 + b_2_4·c_16_105·a_3_4
       + c_16_105·a_1_13·b_1_22
  108. b_10_48·b_11_56 + b_10_47·b_11_57 + b_10_46·b_11_57 + b_10_46·b_10_48·b_1_2
       + b_10_46·b_10_47·b_1_2 + b_10_462·b_1_2 + b_4_13·b_1_2·b_5_17·b_11_57
       + b_4_13·b_1_2·b_5_17·b_11_56 + b_4_13·b_10_48·b_1_22·b_5_17
       + b_4_13·b_10_48·b_1_27 + b_4_13·b_10_46·b_1_27 + b_4_132·b_10_47·b_1_23
       + b_4_132·b_10_46·b_1_23 + b_4_133·b_9_37 + b_4_134·b_5_17 + b_4_134·b_5_16
       + b_4_134·b_1_25 + b_4_135·b_1_2 + b_2_4·b_4_132·b_11_56 + b_2_4·b_4_134·b_3_9
       + b_2_43·b_4_13·b_11_57 + b_2_43·b_4_13·b_11_56 + b_2_43·b_2_5·b_13_74
       + b_2_44·b_2_5·b_11_57 + b_2_45·b_10_46·b_1_2 + b_2_45·b_4_132·b_3_9
       + b_2_46·b_4_13·b_5_17 + b_2_46·b_4_132·b_1_2 + b_2_47·b_4_13·b_3_9
       + b_2_47·b_2_5·b_4_13·b_1_2 + b_2_48·b_5_17 + b_2_48·b_5_16 + b_2_49·b_2_5·b_1_2
       + b_2_410·b_1_2 + b_10_48·b_1_23·a_3_4·b_5_17 + b_10_46·b_1_23·a_3_4·b_5_17
       + b_10_46·b_1_28·a_3_4 + b_10_462·a_1_1 + b_4_13·b_10_48·b_1_24·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_2·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_26
       + b_4_13·b_10_47·b_1_24·a_3_4 + b_4_13·b_10_46·b_1_24·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_26 + b_4_132·b_10_48·a_3_4 + b_4_132·b_10_47·a_3_4
       + b_4_132·b_10_46·a_3_4 + b_4_133·a_9_23 + b_4_133·b_1_26·a_3_4
       + b_4_133·a_1_1·b_1_23·b_5_17 + b_4_134·a_1_1·b_1_24 + b_2_4·b_10_47·a_9_23
       + b_2_43·b_2_5·b_4_13·a_9_23 + b_2_44·b_1_2·b_3_9·a_9_23 + b_2_44·b_10_47·a_3_4
       + b_2_44·b_4_13·a_9_23 + b_2_45·b_10_46·a_1_0 + b_2_48·b_2_5·a_3_4 + b_2_49·a_3_4
       + b_10_48·a_1_1·b_1_27·a_3_4 + b_10_46·a_1_12·b_1_24·b_5_17
       + b_10_46·a_1_12·b_1_29 + b_4_13·b_10_48·a_1_12·b_1_25
       + b_4_13·b_10_47·a_1_1·b_1_23·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_25
       + b_4_13·b_10_46·a_1_1·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_25
       + b_4_132·a_1_1·b_1_29·a_3_4 + b_4_132·a_1_12·b_11_56
       + b_4_132·b_10_48·a_1_12·b_1_2 + b_4_132·b_10_47·a_1_12·b_1_2
       + b_4_133·a_1_12·b_1_22·b_5_17 + b_4_134·a_1_12·b_1_23
       + b_10_48·a_1_12·b_1_2·a_3_4·b_5_17 + b_10_48·a_1_12·b_1_26·a_3_4
       + b_10_46·a_1_12·b_1_26·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_22·a_3_4
       + b_4_132·b_10_48·a_1_13 + b_4_133·a_1_13·b_1_2·b_5_17 + c_16_105·b_1_25
       + b_2_5·c_16_105·b_3_9 + b_2_42·c_16_105·b_1_2 + c_16_105·b_1_22·a_3_4
  109. b_10_48·b_11_57 + b_10_47·b_11_57 + b_10_47·b_11_56 + b_10_46·b_11_56
       + b_10_46·b_10_48·b_1_2 + b_10_462·b_1_2 + b_4_13·b_1_2·b_5_17·b_11_57
       + b_4_13·b_1_2·b_5_17·b_11_56 + b_4_13·b_10_48·b_1_22·b_5_17
       + b_4_13·b_10_46·b_1_22·b_5_17 + b_4_132·b_13_74 + b_4_132·b_10_46·b_1_23
       + b_4_134·b_5_16 + b_4_135·b_1_2 + b_2_5·b_4_132·b_10_48·b_1_2
       + b_2_4·b_4_132·b_11_57 + b_2_4·b_4_134·b_3_9 + b_2_4·b_2_5·b_4_13·b_13_74
       + b_2_42·b_4_13·b_13_74 + b_2_42·b_4_133·b_5_17 + b_2_42·b_4_134·b_1_2
       + b_2_43·b_4_13·b_10_47·b_1_2 + b_2_43·b_4_133·b_3_9 + b_2_43·b_2_5·b_13_74
       + b_2_44·b_4_132·b_5_17 + b_2_44·b_4_133·b_1_2 + b_2_45·b_11_56
       + b_2_45·b_10_47·b_1_2 + b_2_45·b_10_46·b_1_2 + b_2_45·b_4_132·b_3_9
       + b_2_46·b_4_132·b_1_2 + b_2_46·b_2_5·b_4_13·b_3_9 + b_2_47·b_4_13·b_3_9
       + b_2_47·b_2_5·b_4_13·b_1_2 + b_2_48·b_5_17 + b_2_48·b_4_13·b_1_2 + b_2_49·b_3_9
       + b_10_48·b_1_28·a_3_4 + b_10_47·b_10_48·a_1_1 + b_10_46·b_1_23·a_3_4·b_5_17
       + b_10_46·b_1_28·a_3_4 + b_10_462·a_1_1 + b_4_13·b_10_48·b_1_24·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_2·b_5_17 + b_4_13·b_10_47·b_1_24·a_3_4
       + b_4_13·b_10_46·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_26
       + b_4_132·a_1_1·b_1_2·b_11_56 + b_4_132·b_10_47·a_3_4
       + b_4_132·b_10_46·a_1_1·b_1_22 + b_4_133·a_9_23 + b_4_133·b_1_2·a_3_4·b_5_17
       + b_4_133·a_1_1·b_1_28 + b_4_134·a_1_1·b_1_24 + b_2_4·b_10_47·a_9_23
       + b_2_4·b_2_5·b_4_132·a_9_23 + b_2_42·b_4_13·b_1_2·b_3_9·a_9_23
       + b_2_43·b_2_5·b_4_13·a_9_23 + b_2_44·b_1_2·b_3_9·a_9_23 + b_2_44·b_10_47·a_3_4
       + b_2_45·b_10_46·a_1_1 + b_2_49·a_3_4 + b_10_48·a_1_1·b_1_22·a_3_4·b_5_17
       + b_10_48·a_1_1·b_1_27·a_3_4 + b_10_46·a_1_1·b_1_27·a_3_4
       + b_4_13·b_10_48·a_1_12·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_25
       + b_4_13·b_10_46·a_1_12·b_5_17 + b_4_132·a_1_1·b_1_29·a_3_4
       + b_4_132·b_10_46·a_1_12·b_1_2 + b_4_133·a_1_1·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_22·b_5_17 + b_10_48·a_1_12·b_1_2·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_26·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_22·a_3_4
       + b_4_132·a_1_12·b_1_23·a_3_4·b_5_17 + b_4_133·a_1_12·b_1_24·a_3_4
       + b_4_134·a_1_12·a_3_4 + b_2_4·c_16_105·b_3_9 + b_2_4·b_2_5·c_16_105·b_1_2
       + b_2_42·c_16_105·b_1_2 + b_2_42·c_16_105·a_1_0 + c_16_105·a_1_12·b_1_23
       + c_16_105·a_1_13·b_1_22
  110. b_11_56·b_11_57 + b_10_47·b_10_48·b_1_22 + b_10_46·b_10_47·b_1_22
       + b_10_462·b_1_22 + b_4_13·b_10_46·b_1_28 + b_4_133·b_1_2·b_9_37
       + b_4_133·b_1_25·b_5_17 + b_4_133·b_10_47 + b_4_134·b_1_2·b_5_17
       + b_4_134·b_1_26 + b_4_135·b_1_22 + b_2_5·b_4_132·b_1_2·b_11_57
       + b_2_5·b_4_135 + b_2_4·b_4_13·b_5_17·b_11_57 + b_2_4·b_2_5·b_4_132·b_10_48
       + b_2_42·b_4_132·b_10_47 + b_2_42·b_2_5·b_4_134 + b_2_43·b_5_17·b_11_57
       + b_2_43·b_2_5·b_1_2·b_13_74 + b_2_43·b_2_5·b_4_13·b_10_48 + b_2_44·b_4_13·b_10_48
       + b_2_44·b_2_5·b_4_133 + b_2_45·b_2_5·b_10_48 + b_2_46·b_10_47
       + b_2_46·b_2_5·b_4_132 + b_2_47·b_4_132 + b_2_48·b_1_2·b_5_17
       + b_2_48·b_2_5·b_4_13 + b_2_49·b_1_2·b_3_9 + b_2_410·b_2_5 + b_2_411
       + a_9_23·b_13_74 + b_10_47·b_10_48·a_1_1·b_1_2 + b_10_46·b_10_48·a_1_1·b_1_2
       + b_10_462·a_1_1·b_1_2 + b_4_13·b_10_48·b_1_25·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_27 + b_4_13·b_10_47·b_1_25·a_3_4
       + b_4_13·b_10_46·a_3_4·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_22·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_27 + b_4_132·b_5_17·a_9_23
       + b_4_132·b_10_46·b_1_2·a_3_4 + b_4_132·b_10_46·a_1_1·b_1_23
       + b_4_133·a_1_1·b_9_37 + b_4_133·a_1_1·b_1_24·b_5_17 + b_4_133·a_1_1·b_1_29
       + b_4_134·b_1_23·a_3_4 + b_4_134·a_1_1·b_1_25 + b_2_5·a_9_23·b_11_57
       + b_2_4·a_9_23·b_11_56 + b_2_4·b_10_47·b_1_2·a_9_23 + b_2_4·b_4_132·b_3_9·a_9_23
       + b_2_42·b_4_13·b_5_17·a_9_23 + b_2_43·b_4_13·b_3_9·a_9_23 + b_2_45·b_3_9·a_9_23
       + b_2_45·a_1_1·b_11_57 + b_2_45·a_1_0·b_11_57 + b_2_45·b_10_46·a_1_1·b_1_2
       + b_2_45·b_10_46·a_1_0·b_1_2 + b_2_45·b_2_5·b_1_2·a_9_23 + b_2_49·a_1_1·b_3_9
       + b_10_48·a_1_1·b_1_23·a_3_4·b_5_17 + b_10_48·a_1_1·b_1_28·a_3_4
       + b_10_47·b_10_48·a_1_12 + b_10_462·a_1_12 + b_4_13·a_1_12·b_5_17·b_11_56
       + b_4_13·b_10_48·a_1_1·b_1_24·a_3_4 + b_4_13·b_10_47·a_1_1·b_1_24·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_26 + b_4_132·a_1_12·b_1_2·b_11_56
       + b_4_132·b_10_48·a_1_12·b_1_22 + b_4_132·b_10_47·a_1_1·a_3_4
       + b_4_132·b_10_46·a_1_1·a_3_4 + b_4_132·b_10_46·a_1_12·b_1_22
       + b_4_133·a_1_12·b_1_28 + b_4_134·a_1_1·b_1_22·a_3_4
       + b_10_48·a_1_12·b_1_22·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_22·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_27·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_23·a_3_4
       + b_4_133·a_1_12·b_1_25·a_3_4 + b_4_134·a_1_12·b_1_2·a_3_4
       + b_2_42·b_2_5·c_16_105 + b_2_42·c_16_105·a_1_0·b_1_2
       + c_16_105·a_1_1·b_1_22·a_3_4 + c_16_105·a_1_12·b_1_24
  111. b_11_56·b_11_57 + b_11_562 + b_10_46·b_10_47·b_1_22 + b_10_462·b_1_22
       + b_4_13·b_10_48·b_1_28 + b_4_13·b_10_46·b_1_23·b_5_17 + b_4_132·b_10_48·b_1_24
       + b_4_132·b_10_47·b_1_24 + b_4_132·b_10_46·b_1_24 + b_4_133·b_1_2·b_9_37
       + b_4_133·b_10_47 + b_4_134·b_1_2·b_5_17 + b_4_134·b_1_26
       + b_2_5·b_4_132·b_1_2·b_11_57 + b_2_42·b_4_132·b_10_48 + b_2_42·b_4_132·b_10_47
       + b_2_43·b_5_17·b_11_57 + b_2_43·b_4_13·b_1_2·b_11_57
       + b_2_43·b_2_5·b_4_13·b_10_48 + b_2_44·b_1_2·b_13_74 + b_2_44·b_4_13·b_10_47
       + b_2_44·b_4_13·b_10_46 + b_2_45·b_1_2·b_11_57 + b_2_46·b_10_48
       + b_2_49·b_1_2·b_3_9 + b_2_49·b_4_13 + b_10_48·b_1_24·a_3_4·b_5_17
       + b_10_47·b_10_48·a_1_1·b_1_2 + b_10_46·b_1_24·a_3_4·b_5_17 + b_10_46·b_1_29·a_3_4
       + b_10_46·b_10_48·a_1_1·b_1_2 + b_10_46·b_10_47·a_1_1·b_1_2 + b_10_462·a_1_1·b_1_2
       + b_4_13·b_10_48·b_1_25·a_3_4 + b_4_13·b_10_48·a_1_1·b_1_22·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_27 + b_4_13·b_10_46·a_3_4·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_22·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_27
       + b_4_132·b_5_17·a_9_23 + b_4_132·b_10_48·b_1_2·a_3_4
       + b_4_132·b_10_47·b_1_2·a_3_4 + b_4_133·b_1_27·a_3_4 + b_4_133·a_1_1·b_1_29
       + b_4_134·a_1_1·b_5_17 + b_4_134·a_1_1·b_1_25 + b_2_5·a_9_23·b_11_57
       + b_2_4·a_9_23·b_11_57 + b_2_4·a_9_23·b_11_56 + b_2_4·b_10_47·b_1_2·a_9_23
       + b_2_4·b_10_46·b_1_2·a_9_23 + b_2_4·b_4_132·b_3_9·a_9_23
       + b_2_42·b_4_132·b_1_2·a_9_23 + b_2_44·b_5_17·a_9_23 + b_2_44·b_2_5·b_3_9·a_9_23
       + b_2_45·a_1_0·b_11_57 + b_2_45·b_10_46·a_1_0·b_1_2 + b_2_45·b_2_5·b_1_2·a_9_23
       + b_2_46·b_1_2·a_9_23 + b_2_49·a_1_1·b_3_9 + b_2_49·a_1_0·b_3_9
       + b_10_48·a_1_1·b_1_28·a_3_4 + b_10_46·b_10_48·a_1_12 + b_10_462·a_1_12
       + b_4_13·b_10_48·a_1_12·b_1_2·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_26
       + b_4_13·b_10_47·a_1_1·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_2·b_5_17
       + b_4_132·b_10_48·a_1_12·b_1_22 + b_4_132·b_10_46·a_1_1·a_3_4
       + b_4_132·b_10_46·a_1_12·b_1_22 + b_4_133·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_133·a_1_1·b_1_26·a_3_4 + b_4_134·a_1_1·b_1_22·a_3_4
       + b_10_46·a_1_12·b_1_22·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_27·a_3_4
       + b_4_13·b_10_48·a_1_12·b_1_23·a_3_4 + b_4_13·b_10_47·a_1_12·b_1_23·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_23·a_3_4 + b_4_132·a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_132·a_1_13·b_11_56 + b_4_132·b_10_48·a_1_13·b_1_2 + c_16_105·b_1_26
       + b_2_42·b_2_5·c_16_105 + b_2_43·c_16_105 + c_16_105·a_1_1·b_1_25
       + c_16_105·a_1_12·b_1_24 + b_4_13·c_16_105·a_1_12 + c_16_105·a_1_13·b_1_23
  112. b_11_572 + b_11_56·b_11_57 + b_9_37·b_13_74 + b_10_47·b_10_48·b_1_22
       + b_10_46·b_10_47·b_1_22 + b_4_13·b_10_46·b_1_28 + b_4_132·b_1_2·b_13_74
       + b_4_132·b_10_46·b_1_24 + b_4_133·b_1_2·b_9_37 + b_4_133·b_1_25·b_5_17
       + b_4_133·b_1_210 + b_4_133·b_10_47 + b_4_134·b_1_2·b_5_17 + b_4_134·b_1_26
       + b_4_135·b_1_22 + b_2_5·b_4_132·b_1_2·b_11_57 + b_2_5·b_4_135 + b_2_4·b_4_135
       + b_2_4·b_2_5·b_4_132·b_10_48 + b_2_42·b_4_132·b_10_48 + b_2_42·b_4_132·b_10_47
       + b_2_42·b_4_132·b_10_46 + b_2_43·b_5_17·b_11_57 + b_2_43·b_2_5·b_1_2·b_13_74
       + b_2_44·b_1_2·b_13_74 + b_2_44·b_4_13·b_10_47 + b_2_45·b_1_2·b_11_57
       + b_2_45·b_2_5·b_10_48 + b_2_46·b_10_47 + b_2_46·b_10_46 + b_2_46·b_2_5·b_4_132
       + b_2_47·b_3_9·b_5_17 + b_2_48·b_1_2·b_5_16 + b_2_49·b_1_2·b_3_9 + a_9_23·b_13_74
       + b_10_46·b_1_24·a_3_4·b_5_17 + b_10_46·b_1_29·a_3_4 + b_10_46·b_10_48·a_1_1·b_1_2
       + b_4_13·b_10_48·a_3_4·b_5_17 + b_4_13·b_10_47·b_1_25·a_3_4
       + b_4_13·b_10_46·a_3_4·b_5_17 + b_4_13·b_10_46·b_1_25·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_22·b_5_17 + b_4_132·b_10_47·a_1_1·b_1_23
       + b_4_133·b_1_22·a_3_4·b_5_17 + b_4_133·a_1_1·b_9_37
       + b_4_133·a_1_1·b_1_24·b_5_17 + b_4_134·a_1_1·b_5_17 + b_2_4·a_9_23·b_11_57
       + b_2_4·b_10_47·b_1_2·a_9_23 + b_2_4·b_10_46·b_1_2·a_9_23
       + b_2_42·b_4_13·b_5_17·a_9_23 + b_2_42·b_4_132·b_1_2·a_9_23
       + b_2_43·b_4_13·b_3_9·a_9_23 + b_2_44·b_5_17·a_9_23 + b_2_44·b_4_13·b_1_2·a_9_23
       + b_2_44·b_2_5·b_3_9·a_9_23 + b_2_45·b_3_9·a_9_23 + b_2_45·b_10_46·a_1_0·b_1_2
       + b_2_45·b_2_5·b_1_2·a_9_23 + b_2_49·a_1_1·b_3_9 + b_2_410·a_1_1·b_1_2
       + b_10_48·a_1_1·b_1_23·a_3_4·b_5_17 + b_10_47·b_10_48·a_1_12
       + b_10_46·b_10_48·a_1_12 + b_10_46·b_10_47·a_1_12 + b_4_13·a_1_12·b_5_17·b_11_56
       + b_4_13·b_10_48·a_1_1·b_1_24·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_2·b_5_17
       + b_4_13·b_10_47·a_1_1·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_1·b_1_24·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_26 + b_4_132·a_1_12·b_1_2·b_11_56
       + b_4_132·b_10_47·a_1_12·b_1_22 + b_4_132·b_10_46·a_1_1·a_3_4
       + b_4_132·b_10_46·a_1_12·b_1_22 + b_4_133·a_1_12·b_1_23·b_5_17
       + b_4_134·a_1_1·b_1_22·a_3_4 + b_10_46·a_1_12·b_1_22·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_27·a_3_4 + b_4_132·a_1_12·b_1_29·a_3_4
       + b_4_132·b_10_48·a_1_13·b_1_2 + b_4_133·a_1_12·a_3_4·b_5_17
       + b_2_4·c_16_105·b_1_2·b_3_9 + b_2_4·b_4_13·c_16_105 + c_16_105·a_1_12·b_1_24
  113. b_2_4·b_4_13·b_3_9·b_13_74 + b_2_4·b_4_132·b_1_2·b_11_57 + b_2_42·b_4_132·b_10_48
       + b_2_42·b_4_132·b_10_46 + b_2_42·b_2_5·b_4_134 + b_2_43·b_4_13·b_1_2·b_11_57
       + b_2_43·b_2_5·b_4_13·b_10_48 + b_2_44·b_4_13·b_10_48 + b_2_44·b_4_13·b_10_47
       + b_2_44·b_2_5·b_4_133 + b_2_45·b_4_133 + b_2_46·b_10_48 + b_2_46·b_10_47
       + b_2_46·b_10_46 + b_2_46·b_2_5·b_4_132 + b_2_47·b_4_132 + b_2_48·b_1_2·b_5_17
       + b_2_48·b_1_2·b_5_16 + b_2_48·b_2_5·b_1_2·b_3_9 + b_2_48·b_2_5·b_4_13
       + b_2_49·b_1_2·b_3_9 + b_2_49·b_4_13 + b_2_410·b_2_5 + b_2_411 + a_9_23·b_13_74
       + b_10_46·b_1_24·a_3_4·b_5_17 + b_4_13·b_10_47·b_1_25·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_22·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_27
       + b_4_132·b_10_46·b_1_2·a_3_4 + b_4_132·b_10_46·a_1_1·b_1_23
       + b_4_133·b_1_2·a_9_23 + b_4_133·a_1_1·b_1_29 + b_4_134·b_1_23·a_3_4
       + b_2_4·a_9_23·b_11_57 + b_2_4·a_9_23·b_11_56 + b_2_4·b_10_47·b_1_2·a_9_23
       + b_2_4·b_10_46·b_1_2·a_9_23 + b_2_42·b_4_13·b_5_17·a_9_23
       + b_2_42·b_4_132·b_1_2·a_9_23 + b_2_42·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_43·b_4_13·b_3_9·a_9_23 + b_2_44·b_5_17·a_9_23 + b_2_44·b_2_5·b_3_9·a_9_23
       + b_2_45·b_2_5·b_1_2·a_9_23 + b_2_46·b_1_2·a_9_23 + b_2_49·a_1_0·b_3_9
       + b_10_48·a_1_1·b_1_23·a_3_4·b_5_17 + b_10_46·a_1_1·b_1_23·a_3_4·b_5_17
       + b_10_46·b_10_47·a_1_12 + b_4_13·b_10_46·a_1_1·b_1_24·a_3_4
       + b_4_132·a_1_12·b_1_2·b_11_56 + b_4_132·b_10_48·a_1_1·a_3_4
       + b_4_132·b_10_46·a_1_1·a_3_4 + b_4_133·a_1_1·b_1_2·a_3_4·b_5_17
       + b_4_134·a_1_1·b_1_22·a_3_4 + b_4_135·a_1_12
       + b_10_48·a_1_12·b_1_22·a_3_4·b_5_17 + b_4_13·b_10_47·a_1_12·b_1_23·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_23·a_3_4 + b_4_132·a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_25·a_3_4 + b_2_4·c_16_105·a_1_1·b_3_9
  114. b_11_56·b_11_57 + b_9_37·b_13_74 + b_10_47·b_10_48·b_1_22 + b_10_46·b_10_47·b_1_22
       + b_10_462·b_1_22 + b_4_132·b_1_2·b_13_74 + b_4_132·b_10_47·b_1_24
       + b_4_132·b_10_46·b_1_24 + b_4_133·b_1_2·b_9_37 + b_4_133·b_1_25·b_5_17
       + b_4_133·b_10_47 + b_4_134·b_1_2·b_5_17 + b_4_135·b_1_22
       + b_2_5·b_4_132·b_1_2·b_11_57 + b_2_5·b_4_135 + b_2_4·b_4_13·b_5_17·b_11_57
       + b_2_4·b_2_5·b_4_132·b_10_48 + b_2_42·b_4_132·b_10_47 + b_2_42·b_2_5·b_4_134
       + b_2_43·b_5_17·b_11_57 + b_2_43·b_4_13·b_1_2·b_11_57 + b_2_43·b_4_134
       + b_2_43·b_2_5·b_1_2·b_13_74 + b_2_43·b_2_5·b_4_13·b_10_48 + b_2_44·b_1_2·b_13_74
       + b_2_44·b_4_13·b_10_48 + b_2_44·b_4_13·b_10_46 + b_2_44·b_2_5·b_1_2·b_11_57
       + b_2_45·b_4_133 + b_2_46·b_10_48 + b_2_46·b_10_47 + b_2_46·b_10_46
       + b_2_47·b_3_9·b_5_17 + b_2_47·b_4_13·b_1_2·b_3_9 + b_2_48·b_1_2·b_5_16
       + b_2_49·b_1_2·b_3_9 + a_9_23·b_13_74 + b_10_46·b_1_24·a_3_4·b_5_17
       + b_10_46·b_10_48·a_1_1·b_1_2 + b_10_46·b_10_47·a_1_1·b_1_2 + b_10_462·a_1_1·b_1_2
       + b_4_13·b_10_48·a_3_4·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_27
       + b_4_13·b_10_46·a_3_4·b_5_17 + b_4_13·b_10_46·b_1_25·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_27 + b_4_132·b_5_17·a_9_23
       + b_4_132·b_10_48·a_1_1·b_1_23 + b_4_132·b_10_47·b_1_2·a_3_4
       + b_4_132·b_10_47·a_1_1·b_1_23 + b_4_133·b_1_22·a_3_4·b_5_17
       + b_4_133·b_1_27·a_3_4 + b_4_133·a_1_1·b_9_37 + b_4_133·a_1_1·b_1_24·b_5_17
       + b_4_133·a_1_1·b_1_29 + b_4_134·b_1_23·a_3_4 + b_4_134·a_1_1·b_5_17
       + b_2_5·a_9_23·b_11_57 + b_2_4·a_9_23·b_11_57 + b_2_4·b_10_47·b_1_2·a_9_23
       + b_2_4·b_10_46·b_1_2·a_9_23 + b_2_43·b_4_13·b_3_9·a_9_23
       + b_2_44·b_2_5·b_3_9·a_9_23 + b_2_45·a_1_1·b_11_57 + b_2_45·a_1_0·b_11_57
       + b_2_45·b_10_46·a_1_1·b_1_2 + b_2_45·b_2_5·b_1_2·a_9_23
       + b_10_48·a_1_1·b_1_23·a_3_4·b_5_17 + b_10_48·a_1_1·b_1_28·a_3_4
       + b_10_46·b_10_48·a_1_12 + b_4_13·a_1_12·b_5_17·b_11_56
       + b_4_13·b_10_48·a_1_12·b_1_2·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_26
       + b_4_13·b_10_46·a_1_1·b_1_24·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_26
       + b_4_132·a_1_12·b_1_2·b_11_56 + b_4_132·b_10_48·a_1_1·a_3_4
       + b_4_132·b_10_48·a_1_12·b_1_22 + b_4_132·b_10_47·a_1_1·a_3_4
       + b_4_132·b_10_47·a_1_12·b_1_22 + b_4_132·b_10_46·a_1_1·a_3_4
       + b_4_133·a_1_1·b_1_26·a_3_4 + b_4_133·a_1_12·b_1_23·b_5_17
       + b_4_133·a_1_12·b_1_28 + b_4_135·a_1_12 + b_10_48·a_1_12·b_1_27·a_3_4
       + b_4_13·b_10_47·a_1_12·b_1_23·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_23·a_3_4
       + b_4_132·a_1_12·b_1_29·a_3_4 + b_4_132·a_1_13·b_11_56
       + b_4_132·b_10_48·a_1_13·b_1_2 + b_4_133·a_1_12·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_25·a_3_4 + b_4_134·a_1_12·b_1_2·a_3_4
       + b_2_42·b_2_5·c_16_105 + b_2_4·c_16_105·a_1_0·b_3_9 + b_2_42·c_16_105·a_1_1·b_1_2
       + c_16_105·a_1_12·b_1_24 + c_16_105·a_1_13·b_1_23
  115. b_10_48·b_13_74 + b_10_47·b_13_74 + b_10_47·b_10_48·b_1_23 + b_10_46·b_13_74
       + b_10_46·b_10_47·b_1_23 + b_10_462·b_1_23 + b_4_13·b_10_48·b_1_24·b_5_17
       + b_4_13·b_10_46·b_1_29 + b_4_132·b_10_48·b_1_25 + b_4_132·b_10_47·b_1_25
       + b_4_132·b_10_46·b_1_25 + b_4_133·b_11_57 + b_4_133·b_1_26·b_5_17
       + b_4_133·b_1_211 + b_4_133·b_10_47·b_1_2 + b_4_134·b_1_27 + b_4_135·b_3_9
       + b_4_135·b_1_23 + b_2_5·b_4_132·b_13_74 + b_2_5·b_4_135·b_1_2
       + b_2_4·b_4_134·b_5_17 + b_2_42·b_4_132·b_11_57 + b_2_42·b_4_134·b_3_9
       + b_2_42·b_2_5·b_4_13·b_13_74 + b_2_43·b_4_13·b_13_74
       + b_2_44·b_4_13·b_10_47·b_1_2 + b_2_44·b_2_5·b_13_74 + b_2_45·b_13_74
       + b_2_45·b_4_132·b_5_17 + b_2_46·b_11_56 + b_2_46·b_10_47·b_1_2
       + b_2_47·b_4_13·b_5_17 + b_2_47·b_2_5·b_4_13·b_3_9 + b_2_48·b_2_5·b_4_13·b_1_2
       + b_2_49·b_5_16 + b_2_49·b_4_13·b_1_2 + b_2_49·b_2_5·b_3_9 + b_2_410·b_3_9
       + b_10_46·b_10_48·a_3_4 + b_10_46·b_10_48·a_1_1·b_1_22 + b_10_462·a_3_4
       + b_4_13·b_10_48·a_9_23 + b_4_13·b_10_48·b_1_26·a_3_4
       + b_4_13·b_10_48·a_1_1·b_1_23·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_23·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_28 + b_4_132·a_1_1·b_5_17·b_9_37
       + b_4_132·b_10_48·b_1_22·a_3_4 + b_4_132·b_10_48·a_1_1·b_1_24
       + b_4_132·b_10_47·b_1_22·a_3_4 + b_4_132·b_10_47·a_1_1·b_1_24
       + b_4_133·b_1_23·a_3_4·b_5_17 + b_4_133·b_1_28·a_3_4 + b_4_133·b_10_48·a_1_1
       + b_4_133·b_10_47·a_1_1 + b_4_134·a_1_1·b_1_2·b_5_17 + b_2_5·b_1_2·a_9_23·b_11_57
       + b_2_5·b_4_133·a_9_23 + b_2_4·b_1_2·a_9_23·b_11_57 + b_2_4·b_4_133·a_9_23
       + b_2_4·b_2_5·b_10_48·a_9_23 + b_2_42·b_10_47·a_9_23 + b_2_42·b_10_46·a_9_23
       + b_2_42·b_2_5·b_4_132·a_9_23 + b_2_43·b_3_9·b_5_17·a_9_23
       + b_2_43·b_4_132·a_9_23 + b_2_44·b_2_5·b_1_2·b_3_9·a_9_23 + b_2_45·b_10_47·a_3_4
       + b_2_45·b_4_13·a_9_23 + b_2_46·b_2_5·a_9_23 + b_2_47·a_9_23
       + b_10_46·a_1_1·b_1_29·a_3_4 + b_10_46·b_10_48·a_1_12·b_1_2
       + b_10_46·b_10_47·a_1_12·b_1_2 + b_10_462·a_1_12·b_1_2
       + b_4_13·b_10_48·a_1_12·b_1_22·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_27
       + b_4_13·b_10_46·a_1_1·b_1_25·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_27
       + b_4_132·b_10_48·a_1_1·b_1_2·a_3_4 + b_4_132·b_10_47·a_1_1·b_1_2·a_3_4
       + b_4_132·b_10_47·a_1_12·b_1_23 + b_4_132·b_10_46·a_1_12·b_1_23
       + b_4_133·a_1_1·b_1_22·a_3_4·b_5_17 + b_4_133·a_1_12·b_1_24·b_5_17
       + b_4_134·a_1_1·b_1_23·a_3_4 + b_4_134·a_1_12·b_1_25 + b_4_135·a_1_12·b_1_2
       + b_10_46·a_1_12·b_1_28·a_3_4 + b_4_13·b_10_46·a_1_12·b_1_24·a_3_4
       + b_4_132·b_10_47·a_1_12·a_3_4 + b_4_132·b_10_46·a_1_12·a_3_4
       + b_4_133·a_1_12·b_1_2·a_3_4·b_5_17 + b_4_133·a_1_12·b_1_26·a_3_4
       + b_2_42·b_2_5·c_16_105·b_1_2 + c_16_105·b_1_24·a_3_4 + b_2_42·c_16_105·a_3_4
       + c_16_105·a_1_1·b_1_23·a_3_4 + c_16_105·a_1_12·b_1_22·a_3_4
       + b_4_13·c_16_105·a_1_13
  116. b_10_47·b_13_74 + b_10_462·b_1_23 + b_4_13·b_10_46·b_1_24·b_5_17
       + b_4_13·b_10_46·b_1_29 + b_4_132·b_10_47·b_1_25 + b_4_133·b_1_211
       + b_4_133·b_10_47·b_1_2 + b_4_133·b_10_46·b_1_2 + b_4_134·b_1_22·b_5_17
       + b_4_135·b_1_23 + b_2_5·b_4_135·b_1_2 + b_2_42·b_4_132·b_11_57
       + b_2_42·b_4_132·b_11_56 + b_2_42·b_4_134·b_3_9 + b_2_42·b_2_5·b_4_13·b_13_74
       + b_2_43·b_4_134·b_1_2 + b_2_44·b_4_13·b_11_57 + b_2_44·b_4_13·b_11_56
       + b_2_44·b_4_13·b_10_47·b_1_2 + b_2_44·b_4_13·b_10_46·b_1_2 + b_2_44·b_2_5·b_13_74
       + b_2_45·b_13_74 + b_2_47·b_4_13·b_5_17 + b_2_47·b_2_5·b_4_13·b_3_9
       + b_2_48·b_2_5·b_4_13·b_1_2 + b_2_49·b_5_17 + b_2_49·b_5_16 + b_2_410·b_2_5·b_1_2
       + b_2_411·b_1_2 + b_10_47·b_10_48·a_3_4 + b_10_462·a_3_4 + b_10_462·a_1_1·b_1_22
       + b_4_13·b_10_48·a_9_23 + b_4_13·b_10_48·b_1_2·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_28 + b_4_13·b_10_47·a_9_23
       + b_4_13·b_10_46·b_1_2·a_3_4·b_5_17 + b_4_132·b_10_48·a_1_1·b_1_24
       + b_4_132·b_10_46·b_1_22·a_3_4 + b_4_133·b_1_23·a_3_4·b_5_17
       + b_4_133·a_1_1·b_1_210 + b_4_133·b_10_47·a_1_1 + b_4_133·b_10_46·a_1_1
       + b_2_5·b_1_2·a_9_23·b_11_57 + b_2_4·b_1_2·a_9_23·b_11_57 + b_2_4·b_4_133·a_9_23
       + b_2_4·b_2_5·b_10_48·a_9_23 + b_2_42·b_10_46·a_9_23 + b_2_43·b_3_9·b_5_17·a_9_23
       + b_2_43·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_45·b_1_2·b_3_9·a_9_23
       + b_2_45·b_10_47·a_3_4 + b_2_46·b_10_46·a_1_1 + b_2_46·b_10_46·a_1_0
       + b_10_47·b_10_48·a_1_12·b_1_2 + b_10_46·a_1_1·b_1_24·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_1·b_1_25·a_3_4 + b_4_13·b_10_48·a_1_12·b_1_22·b_5_17
       + b_4_13·b_10_48·a_1_12·b_1_27 + b_4_13·b_10_47·a_1_1·b_1_25·a_3_4
       + b_4_13·b_10_46·a_1_1·b_1_25·a_3_4 + b_4_132·b_10_48·a_1_1·b_1_2·a_3_4
       + b_4_132·b_10_46·a_1_12·b_1_23 + b_4_133·a_1_1·b_1_22·a_3_4·b_5_17
       + b_4_133·a_1_12·b_9_37 + b_4_133·a_1_12·b_1_24·b_5_17
       + b_4_133·a_1_12·b_1_29 + b_4_134·a_1_1·b_1_23·a_3_4 + b_4_134·a_1_12·b_5_17
       + b_4_135·a_1_12·b_1_2 + b_10_48·a_1_12·b_1_28·a_3_4
       + b_4_13·b_10_46·a_1_12·b_1_24·a_3_4 + b_4_132·b_10_47·a_1_12·a_3_4
       + b_4_132·b_10_46·a_1_12·a_3_4 + b_4_133·a_1_12·b_1_2·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_26·a_3_4 + b_4_135·a_1_13 + b_2_4·c_16_105·b_5_17
       + b_2_4·c_16_105·b_5_16 + b_2_4·b_2_5·c_16_105·b_3_9 + b_2_43·c_16_105·b_1_2
       + b_2_4·b_2_5·c_16_105·a_3_4 + b_2_42·c_16_105·a_3_4 + b_2_43·c_16_105·a_1_0
       + c_16_105·a_1_12·b_1_22·a_3_4
  117. b_10_47·b_13_74 + b_10_46·b_13_74 + b_10_46·b_10_47·b_1_23 + b_10_462·b_1_23
       + b_4_13·b_10_46·b_1_29 + b_4_132·b_10_47·b_1_25 + b_4_132·b_10_46·b_1_25
       + b_4_133·b_10_47·b_1_2 + b_2_5·b_4_132·b_13_74 + b_2_4·b_4_132·b_13_74
       + b_2_4·b_4_134·b_5_17 + b_2_4·b_4_135·b_1_2 + b_2_4·b_2_5·b_4_132·b_11_57
       + b_2_42·b_4_134·b_3_9 + b_2_43·b_2_5·b_4_13·b_11_57 + b_2_44·b_4_13·b_11_57
       + b_2_44·b_4_13·b_10_47·b_1_2 + b_2_44·b_4_133·b_3_9 + b_2_45·b_4_132·b_5_17
       + b_2_45·b_4_133·b_1_2 + b_2_45·b_2_5·b_11_57 + b_2_46·b_11_56
       + b_2_46·b_4_132·b_3_9 + b_2_47·b_4_132·b_1_2 + b_2_410·b_3_9
       + b_2_410·b_2_5·b_1_2 + b_2_411·b_1_2 + b_10_47·b_10_48·a_3_4 + b_10_46·b_10_48·a_3_4
       + b_10_462·a_3_4 + b_4_13·b_10_48·a_1_1·b_1_28 + b_4_13·b_10_46·a_9_23
       + b_4_13·b_10_46·a_1_1·b_1_23·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_28
       + b_4_132·b_10_47·b_1_22·a_3_4 + b_4_132·b_10_47·a_1_1·b_1_24
       + b_4_132·b_10_46·b_1_22·a_3_4 + b_4_132·b_10_46·a_1_1·b_1_24
       + b_4_133·b_1_28·a_3_4 + b_4_133·a_1_1·b_1_210 + b_4_133·b_10_48·a_1_1
       + b_4_133·b_10_47·a_1_1 + b_4_134·a_1_1·b_1_2·b_5_17 + b_4_135·a_3_4
       + b_2_5·b_4_133·a_9_23 + b_2_4·b_1_2·a_9_23·b_11_57 + b_2_4·b_2_5·b_10_48·a_9_23
       + b_2_42·b_10_48·a_9_23 + b_2_42·b_10_47·a_9_23 + b_2_43·b_3_9·b_5_17·a_9_23
       + b_2_43·b_4_13·b_1_2·b_3_9·a_9_23 + b_2_43·b_4_132·a_9_23
       + b_2_44·b_2_5·b_4_13·a_9_23 + b_2_46·b_10_46·a_1_1 + b_2_46·b_10_46·a_1_0
       + b_2_47·a_9_23 + b_2_49·b_2_5·a_3_4 + b_2_410·a_3_4 + b_2_411·a_1_1
       + b_10_47·b_10_48·a_1_12·b_1_2 + b_10_46·b_10_47·a_1_12·b_1_2
       + b_10_462·a_1_12·b_1_2 + b_4_13·b_10_48·a_1_1·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_12·b_1_22·b_5_17 + b_4_13·b_10_46·a_1_1·a_3_4·b_5_17
       + b_4_13·b_10_46·a_1_1·b_1_25·a_3_4 + b_4_132·b_10_47·a_1_12·b_1_23
       + b_4_132·b_10_46·a_1_1·b_1_2·a_3_4 + b_4_133·a_1_12·b_1_29
       + b_4_134·a_1_1·b_1_23·a_3_4 + b_4_134·a_1_12·b_5_17
       + b_10_46·a_1_12·b_1_23·a_3_4·b_5_17 + b_4_13·b_10_48·a_1_12·b_1_24·a_3_4
       + b_4_13·b_10_47·a_1_12·b_1_24·a_3_4 + b_4_132·b_10_46·a_1_12·a_3_4
       + b_4_133·a_1_12·b_1_2·a_3_4·b_5_17 + b_4_133·a_1_12·b_1_26·a_3_4
       + b_4_134·a_1_12·b_1_22·a_3_4 + b_4_135·a_1_13 + b_2_4·c_16_105·b_5_17
       + b_2_4·b_4_13·c_16_105·b_1_2 + b_2_42·c_16_105·b_3_9 + b_2_42·b_2_5·c_16_105·b_1_2
       + b_2_43·c_16_105·b_1_2 + b_2_42·c_16_105·a_3_4 + b_2_43·c_16_105·a_1_1
       + b_2_43·c_16_105·a_1_0 + c_16_105·a_1_12·b_1_22·a_3_4
  118. b_11_57·b_13_74 + b_10_462·b_1_24 + b_4_13·b_10_46·b_10_47 + b_4_132·b_3_9·b_13_74
       + b_4_132·b_10_46·b_1_26 + b_4_133·b_10_46·b_1_22 + b_4_134·b_1_23·b_5_17
       + b_4_135·b_1_24 + b_2_5·b_4_132·b_1_2·b_13_74 + b_2_42·b_4_13·b_5_17·b_11_57
       + b_2_42·b_4_135 + b_2_43·b_4_132·b_10_48 + b_2_43·b_4_132·b_10_47
       + b_2_43·b_2_5·b_4_134 + b_2_44·b_5_17·b_11_57 + b_2_44·b_2_5·b_1_2·b_13_74
       + b_2_45·b_4_13·b_10_46 + b_2_47·b_10_46 + b_2_48·b_3_9·b_5_17 + b_2_48·b_4_132
       + b_2_49·b_1_2·b_5_17 + b_2_410·b_1_2·b_3_9 + b_2_411·b_2_5 + b_2_412
       + b_10_47·b_10_48·b_1_2·a_3_4 + b_10_46·b_10_47·a_1_1·b_1_23
       + b_10_462·a_1_1·b_1_23 + b_4_13·a_9_23·b_11_57 + b_4_132·b_10_48·b_1_23·a_3_4
       + b_4_132·b_10_48·a_1_1·b_5_17 + b_4_132·b_10_46·a_1_1·b_1_25
       + b_4_133·b_3_9·a_9_23 + b_4_133·b_1_29·a_3_4 + b_4_133·b_10_47·a_1_1·b_1_2
       + b_4_134·a_3_4·b_5_17 + b_4_134·b_1_25·a_3_4 + b_2_5·a_9_23·b_13_74
       + b_2_4·a_9_23·b_13_74 + b_2_4·b_4_132·b_5_17·a_9_23 + b_2_4·b_2_5·a_9_23·b_11_57
       + b_2_42·a_9_23·b_11_57 + b_2_42·a_9_23·b_11_56 + b_2_42·b_10_47·b_1_2·a_9_23
       + b_2_42·b_10_46·b_1_2·a_9_23 + b_2_42·b_4_132·b_3_9·a_9_23
       + b_2_43·b_4_13·b_5_17·a_9_23 + b_2_43·b_4_132·b_1_2·a_9_23
       + b_2_43·b_2_5·b_4_13·b_3_9·a_9_23 + b_2_44·b_4_13·b_3_9·a_9_23
       + b_2_45·b_5_17·a_9_23 + b_2_45·b_2_5·b_3_9·a_9_23 + b_2_46·b_10_46·a_1_1·b_1_2
       + b_2_46·b_10_46·a_1_0·b_1_2 + b_2_46·b_2_5·b_1_2·a_9_23 + b_2_410·a_1_0·b_3_9
       + b_10_46·b_10_48·a_1_1·a_3_4 + b_10_462·a_1_12·b_1_22
       + b_4_13·b_10_48·a_1_1·b_1_2·a_3_4·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_26·a_3_4
       + b_4_13·b_10_48·a_1_12·b_1_28 + b_4_13·b_10_46·a_1_12·b_1_23·b_5_17
       + b_4_132·b_10_48·a_1_12·b_1_24 + b_4_132·b_10_47·a_1_1·b_1_22·a_3_4
       + b_4_132·b_10_46·a_1_12·b_1_24 + b_4_133·a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_133·a_1_12·b_1_210 + b_4_133·b_10_47·a_1_12
       + b_4_134·a_1_12·b_1_2·b_5_17 + b_4_134·a_1_12·b_1_26
       + b_10_48·a_1_12·b_1_29·a_3_4 + b_10_46·a_1_12·b_1_24·a_3_4·b_5_17
       + b_4_13·b_10_48·a_1_12·b_1_25·a_3_4 + b_4_132·b_10_48·a_1_12·b_1_2·a_3_4
       + b_4_132·b_10_47·a_1_12·b_1_2·a_3_4 + b_4_133·a_1_12·b_1_27·a_3_4
       + b_4_135·a_1_13·b_1_2 + c_16_105·b_3_9·b_5_16 + c_16_105·b_1_28
       + b_4_13·c_16_105·b_1_2·b_3_9 + b_2_4·b_2_5·c_16_105·b_1_2·b_3_9
       + b_2_43·b_2_5·c_16_105 + b_2_44·c_16_105 + b_2_42·c_16_105·a_1_1·b_3_9
       + b_2_43·c_16_105·a_1_1·b_1_2 + b_2_43·c_16_105·a_1_0·b_1_2
       + c_16_105·a_1_1·b_1_24·a_3_4 + c_16_105·a_1_12·b_1_26 + c_16_105·a_1_13·b_5_17
  119. b_11_56·b_13_74 + b_10_47·b_10_48·b_1_24 + b_10_46·b_10_47·b_1_24
       + b_10_462·b_1_24 + b_4_13·b_10_47·b_10_48 + b_4_13·b_10_46·b_10_48
       + b_4_13·b_10_462 + b_4_132·b_3_9·b_13_74 + b_4_132·b_10_48·b_1_2·b_5_17
       + b_4_133·b_10_48·b_1_22 + b_4_133·b_10_46·b_1_22 + b_4_134·b_1_23·b_5_17
       + b_4_134·b_1_28 + b_4_135·b_1_2·b_3_9 + b_4_135·b_1_24
       + b_2_5·b_4_132·b_1_2·b_13_74 + b_2_5·b_4_133·b_10_48 + b_2_4·b_4_133·b_10_48
       + b_2_4·b_4_133·b_10_47 + b_2_4·b_4_133·b_10_46 + b_2_42·b_2_5·b_4_132·b_10_48
       + b_2_44·b_5_17·b_11_57 + b_2_44·b_4_13·b_1_2·b_11_57 + b_2_44·b_4_134
       + b_2_44·b_2_5·b_4_13·b_10_48 + b_2_45·b_1_2·b_13_74 + b_2_45·b_4_13·b_10_48
       + b_2_45·b_4_13·b_10_47 + b_2_45·b_2_5·b_1_2·b_11_57 + b_2_45·b_2_5·b_4_133
       + b_2_46·b_1_2·b_11_57 + b_2_46·b_2_5·b_10_48 + b_2_47·b_10_48 + b_2_47·b_10_46
       + b_2_49·b_1_2·b_5_17 + b_2_49·b_1_2·b_5_16 + b_2_410·b_4_13 + b_2_411·b_2_5
       + b_2_412 + b_10_47·b_10_48·b_1_2·a_3_4 + b_10_47·b_10_48·a_1_1·b_1_23
       + b_10_46·b_10_48·b_1_2·a_3_4 + b_10_46·b_10_48·a_1_1·b_1_23
       + b_10_462·a_1_1·b_1_23 + b_4_13·a_9_23·b_11_57 + b_4_13·a_9_23·b_11_56
       + b_4_13·b_10_48·a_1_1·b_1_24·b_5_17 + b_4_13·b_10_48·a_1_1·b_1_29
       + b_4_13·b_10_46·b_1_22·a_3_4·b_5_17 + b_4_13·b_10_46·a_1_1·b_1_24·b_5_17
       + b_4_132·b_10_48·a_1_1·b_5_17 + b_4_132·b_10_48·a_1_1·b_1_25
       + b_4_132·b_10_47·b_1_23·a_3_4 + b_4_132·b_10_47·a_1_1·b_1_25
       + b_4_132·b_10_46·b_1_23·a_3_4 + b_4_132·b_10_46·a_1_1·b_1_25
       + b_4_133·b_3_9·a_9_23 + b_4_133·a_1_1·b_11_56 + b_4_133·b_10_47·a_1_1·b_1_2
       + b_4_133·b_10_46·a_1_1·b_1_2 + b_4_134·a_1_1·b_1_22·b_5_17
       + b_4_134·a_1_1·b_1_27 + b_4_135·b_1_2·a_3_4 + b_2_5·a_9_23·b_13_74
       + b_2_4·a_9_23·b_13_74 + b_2_4·b_4_132·b_5_17·a_9_23 + b_2_4·b_4_133·b_1_2·a_9_23
       + b_2_42·a_9_23·b_11_56 + b_2_43·b_2_5·b_4_13·b_3_9·a_9_23 + b_2_46·b_3_9·a_9_23
       + b_2_46·a_1_1·b_11_57 + b_2_46·a_1_0·b_11_57 + b_2_46·b_2_5·b_1_2·a_9_23
       + b_2_47·b_1_2·a_9_23 + b_2_411·a_1_1·b_1_2 + b_10_47·b_10_48·a_1_1·a_3_4
       + b_10_46·b_10_48·a_1_1·a_3_4 + b_10_46·b_10_47·a_1_12·b_1_22
       + b_10_462·a_1_1·a_3_4 + b_10_462·a_1_12·b_1_22
       + b_4_13·b_10_46·a_1_1·b_1_2·a_3_4·b_5_17 + b_4_132·a_1_12·b_5_17·b_9_37
       + b_4_132·b_10_48·a_1_1·b_1_22·a_3_4 + b_4_132·b_10_48·a_1_12·b_1_24
       + b_4_132·b_10_47·a_1_1·b_1_22·a_3_4 + b_4_132·b_10_46·a_1_12·b_1_24
       + b_4_133·a_1_1·b_1_23·a_3_4·b_5_17 + b_4_133·a_1_1·b_1_28·a_3_4
       + b_4_133·b_10_48·a_1_12 + b_4_133·b_10_47·a_1_12 + b_4_133·b_10_46·a_1_12
       + b_4_134·a_1_12·b_1_2·b_5_17 + b_4_134·a_1_12·b_1_26 + b_4_135·a_1_1·a_3_4
       + b_4_135·a_1_12·b_1_22 + b_10_48·a_1_12·b_1_24·a_3_4·b_5_17
       + b_10_46·a_1_12·b_1_24·a_3_4·b_5_17 + b_10_46·a_1_12·b_1_29·a_3_4
       + b_4_13·b_10_48·a_1_12·b_1_25·a_3_4 + b_4_13·b_10_46·a_1_12·a_3_4·b_5_17
       + b_4_132·b_10_48·a_1_12·b_1_2·a_3_4 + b_4_133·a_1_12·b_1_22·a_3_4·b_5_17
       + b_4_134·a_1_12·b_1_23·a_3_4 + b_4_134·a_1_13·b_5_17
       + b_2_4·b_2_5·b_4_13·c_16_105 + b_2_42·b_4_13·c_16_105 + b_2_43·b_2_5·c_16_105
       + c_16_105·b_1_25·a_3_4 + b_2_42·c_16_105·a_1_0·b_3_9
       + b_2_43·c_16_105·a_1_1·b_1_2 + c_16_105·a_1_1·b_1_24·a_3_4
       + b_4_13·c_16_105·a_1_12·b_1_22
  120. b_13_742 + b_10_462·b_1_26 + b_4_13·b_10_462·b_1_22
       + b_4_132·b_10_46·b_1_28 + b_4_133·b_10_47·b_1_24 + b_4_133·b_10_46·b_1_24
       + b_4_134·b_1_25·b_5_17 + b_4_134·b_1_210 + b_2_4·b_4_132·b_5_17·b_11_57
       + b_2_42·b_4_133·b_10_46 + b_2_42·b_2_5·b_4_135 + b_2_43·b_4_135
       + b_2_45·b_4_13·b_1_2·b_11_57 + b_2_45·b_4_134 + b_2_45·b_2_5·b_4_13·b_10_48
       + b_2_46·b_4_13·b_10_46 + b_2_46·b_2_5·b_1_2·b_11_57 + b_2_46·b_2_5·b_4_133
       + b_2_47·b_1_2·b_11_57 + b_2_47·b_4_133 + b_2_49·b_4_132
       + b_2_410·b_2_5·b_1_2·b_3_9 + b_2_410·b_2_5·b_4_13 + b_10_462·b_1_23·a_3_4
       + b_10_462·a_1_1·b_5_17 + b_4_132·b_10_48·a_1_1·b_1_27
       + b_4_132·b_10_46·b_1_25·a_3_4 + b_4_133·b_5_17·a_9_23
       + b_4_133·b_10_46·b_1_2·a_3_4 + b_4_134·b_1_2·a_9_23
       + b_4_134·a_1_1·b_1_24·b_5_17 + b_4_134·a_1_1·b_1_29 + b_4_135·b_1_23·a_3_4
       + b_2_4·b_4_13·a_9_23·b_11_56 + b_2_4·b_2_5·a_9_23·b_13_74
       + b_2_42·b_2_5·a_9_23·b_11_57 + b_2_43·a_9_23·b_11_56
       + b_2_43·b_10_47·b_1_2·a_9_23 + b_2_43·b_10_46·b_1_2·a_9_23
       + b_2_44·b_4_13·b_5_17·a_9_23 + b_2_44·b_2_5·b_4_13·b_3_9·a_9_23
       + b_2_46·b_5_17·a_9_23 + b_2_46·b_4_13·b_1_2·a_9_23 + b_2_46·b_2_5·b_3_9·a_9_23
       + b_2_47·b_3_9·a_9_23 + b_2_47·b_10_46·a_1_1·b_1_2 + b_2_47·b_2_5·b_1_2·a_9_23
       + b_2_48·b_1_2·a_9_23 + b_10_47·b_10_48·a_1_1·b_1_22·a_3_4
       + b_10_46·b_10_48·a_1_12·b_1_24 + b_10_462·a_1_1·b_1_22·a_3_4
       + b_10_462·a_1_12·b_1_24 + b_4_13·b_10_48·a_1_1·b_1_28·a_3_4
       + b_4_13·b_10_47·b_10_48·a_1_12 + b_4_13·b_10_46·a_1_1·b_1_23·a_3_4·b_5_17
       + b_4_13·b_10_46·b_10_48·a_1_12 + b_4_13·b_10_46·b_10_47·a_1_12
       + b_4_132·b_10_48·a_1_12·b_1_2·b_5_17 + b_4_132·b_10_47·a_1_1·b_1_24·a_3_4
       + b_4_132·b_10_46·a_1_1·b_1_24·a_3_4 + b_4_132·b_10_46·a_1_12·b_1_2·b_5_17
       + b_4_133·b_10_48·a_1_1·a_3_4 + b_4_133·b_10_48·a_1_12·b_1_22
       + b_4_133·b_10_47·a_1_12·b_1_22 + b_4_133·b_10_46·a_1_1·a_3_4
       + b_4_134·a_1_1·b_1_2·a_3_4·b_5_17 + b_4_136·a_1_12
       + b_4_132·b_10_47·a_1_12·b_1_23·a_3_4 + b_4_133·a_1_13·b_11_56
       + b_4_133·b_10_48·a_1_13·b_1_2 + b_4_134·a_1_12·b_1_25·a_3_4
       + b_2_4·b_4_132·c_16_105 + b_2_42·b_2_5·c_16_105·b_1_2·b_3_9
       + b_2_42·b_2_5·b_4_13·c_16_105 + b_2_43·c_16_105·b_1_2·b_3_9
       + b_2_43·c_16_105·a_1_0·b_3_9 + b_2_44·c_16_105·a_1_1·b_1_2
       + c_16_105·a_1_1·b_1_26·a_3_4 + b_4_13·c_16_105·a_1_13·a_3_4


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 26.
  • 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_16_105, a Duflot regular element of degree 16
    2. b_1_2·b_3_9 + b_1_24 + b_4_13, an element of degree 4
    3. b_1_22, an element of degree 2
  • The Raw Filter Degree Type of that HSOP is [-1, 11, 17, 19].
  • The filter degree type of any filter regular HSOP is [-1, -2, -3, -3].


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 1

  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. b_2_40, an element of degree 2
  5. b_2_50, an element of degree 2
  6. a_3_40, an element of degree 3
  7. b_3_90, an element of degree 3
  8. b_4_130, an element of degree 4
  9. b_5_160, an element of degree 5
  10. b_5_170, an element of degree 5
  11. a_9_230, an element of degree 9
  12. b_9_370, an element of degree 9
  13. b_10_460, an element of degree 10
  14. b_10_470, an element of degree 10
  15. b_10_480, an element of degree 10
  16. b_11_560, an element of degree 11
  17. b_11_570, an element of degree 11
  18. b_13_740, an element of degree 13
  19. c_16_105c_1_016, an element of degree 16

Restriction map to a maximal el. ab. subgp. of rank 3

  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. b_2_40, an element of degree 2
  5. b_2_50, an element of degree 2
  6. a_3_40, an element of degree 3
  7. b_3_9c_1_23, an element of degree 3
  8. b_4_13c_1_24 + c_1_12·c_1_22 + c_1_14, an element of degree 4
  9. b_5_16c_1_12·c_1_23 + c_1_14·c_1_2, an element of degree 5
  10. b_5_17c_1_25 + c_1_1·c_1_24 + c_1_12·c_1_23, an element of degree 5
  11. a_9_230, an element of degree 9
  12. b_9_37c_1_29 + c_1_1·c_1_28 + c_1_12·c_1_27 + c_1_13·c_1_26 + c_1_15·c_1_24
       + c_1_16·c_1_23 + c_1_18·c_1_2, an element of degree 9
  13. b_10_46c_1_210 + c_1_1·c_1_29 + c_1_13·c_1_27 + c_1_14·c_1_26 + c_1_15·c_1_25
       + c_1_16·c_1_24 + c_1_18·c_1_22, an element of degree 10
  14. b_10_47c_1_210 + c_1_1·c_1_29 + c_1_14·c_1_26, an element of degree 10
  15. b_10_48c_1_210 + c_1_1·c_1_29 + c_1_12·c_1_28 + c_1_13·c_1_27 + c_1_15·c_1_25
       + c_1_18·c_1_22 + c_1_110 + c_1_04·c_1_26 + c_1_08·c_1_22, an element of degree 10
  16. b_11_56c_1_1·c_1_210 + c_1_12·c_1_29 + c_1_14·c_1_27 + c_1_16·c_1_25
       + c_1_18·c_1_23 + c_1_110·c_1_2 + c_1_04·c_1_27 + c_1_08·c_1_23, an element of degree 11
  17. b_11_57c_1_211 + c_1_1·c_1_210 + c_1_14·c_1_27, an element of degree 11
  18. b_13_74c_1_213 + c_1_13·c_1_210 + c_1_15·c_1_28 + c_1_16·c_1_27 + c_1_18·c_1_25, an element of degree 13
  19. c_16_105c_1_216 + c_1_12·c_1_214 + c_1_13·c_1_213 + c_1_14·c_1_212
       + c_1_16·c_1_210 + c_1_17·c_1_29 + c_1_19·c_1_27 + c_1_111·c_1_25
       + c_1_112·c_1_24 + c_1_04·c_1_212 + c_1_04·c_1_1·c_1_211
       + c_1_04·c_1_12·c_1_210 + c_1_04·c_1_14·c_1_28 + c_1_04·c_1_18·c_1_24
       + c_1_08·c_1_1·c_1_27 + c_1_08·c_1_12·c_1_26 + c_1_08·c_1_14·c_1_24
       + c_1_08·c_1_18 + c_1_016, an element of degree 16

Restriction map to a maximal el. ab. subgp. of rank 3

  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. b_2_4c_1_22, an element of degree 2
  5. b_2_5c_1_22, an element of degree 2
  6. a_3_40, an element of degree 3
  7. b_3_9c_1_1·c_1_22 + c_1_12·c_1_2, an element of degree 3
  8. b_4_13c_1_1·c_1_23 + c_1_14, an element of degree 4
  9. b_5_160, an element of degree 5
  10. b_5_17c_1_1·c_1_24 + c_1_12·c_1_23, an element of degree 5
  11. a_9_230, an element of degree 9
  12. b_9_37c_1_14·c_1_25 + c_1_18·c_1_2, an element of degree 9
  13. b_10_46c_1_14·c_1_26 + c_1_18·c_1_22 + c_1_02·c_1_12·c_1_26
       + c_1_02·c_1_14·c_1_24 + c_1_04·c_1_26 + c_1_04·c_1_12·c_1_24
       + c_1_04·c_1_14·c_1_22 + c_1_08·c_1_22, an element of degree 10
  14. b_10_47c_1_1·c_1_29 + c_1_12·c_1_28 + c_1_13·c_1_27 + c_1_15·c_1_25
       + c_1_16·c_1_24 + c_1_18·c_1_22, an element of degree 10
  15. b_10_48c_1_12·c_1_28 + c_1_15·c_1_25 + c_1_16·c_1_24 + c_1_18·c_1_22
       + c_1_19·c_1_2 + c_1_110 + c_1_02·c_1_12·c_1_26 + c_1_02·c_1_14·c_1_24
       + c_1_04·c_1_26 + c_1_04·c_1_12·c_1_24 + c_1_04·c_1_14·c_1_22
       + c_1_08·c_1_22, an element of degree 10
  16. b_11_56c_1_1·c_1_210 + c_1_12·c_1_29 + c_1_14·c_1_27 + c_1_18·c_1_23, an element of degree 11
  17. b_11_57c_1_13·c_1_28 + c_1_18·c_1_23 + c_1_19·c_1_22 + c_1_110·c_1_2
       + c_1_02·c_1_13·c_1_26 + c_1_02·c_1_14·c_1_25 + c_1_02·c_1_15·c_1_24
       + c_1_02·c_1_16·c_1_23 + c_1_04·c_1_1·c_1_26 + c_1_04·c_1_12·c_1_25
       + c_1_04·c_1_13·c_1_24 + c_1_04·c_1_14·c_1_23 + c_1_04·c_1_15·c_1_22
       + c_1_04·c_1_16·c_1_2 + c_1_08·c_1_1·c_1_22 + c_1_08·c_1_12·c_1_2, an element of degree 11
  18. b_13_74c_1_12·c_1_211 + c_1_13·c_1_210 + c_1_15·c_1_28 + c_1_16·c_1_27
       + c_1_02·c_1_12·c_1_29 + c_1_02·c_1_13·c_1_28 + c_1_02·c_1_14·c_1_27
       + c_1_02·c_1_15·c_1_26 + c_1_02·c_1_16·c_1_25 + c_1_02·c_1_18·c_1_23
       + c_1_04·c_1_29 + c_1_04·c_1_1·c_1_28 + c_1_04·c_1_12·c_1_27
       + c_1_04·c_1_13·c_1_26 + c_1_04·c_1_15·c_1_24 + c_1_04·c_1_16·c_1_23
       + c_1_04·c_1_18·c_1_2 + c_1_08·c_1_25 + c_1_08·c_1_1·c_1_24
       + c_1_08·c_1_14·c_1_2, an element of degree 13
  19. c_16_105c_1_12·c_1_214 + c_1_13·c_1_213 + c_1_16·c_1_210 + c_1_18·c_1_28
       + c_1_19·c_1_27 + c_1_112·c_1_24 + c_1_02·c_1_14·c_1_210
       + c_1_02·c_1_18·c_1_26 + c_1_04·c_1_12·c_1_210 + c_1_04·c_1_14·c_1_28
       + c_1_08·c_1_28 + c_1_08·c_1_12·c_1_26 + c_1_08·c_1_18 + c_1_016, an element of degree 16

Restriction map to a maximal el. ab. subgp. of rank 3

  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. b_2_4c_1_22, an element of degree 2
  5. b_2_50, an element of degree 2
  6. a_3_40, an element of degree 3
  7. b_3_9c_1_23 + c_1_1·c_1_22 + c_1_12·c_1_2, an element of degree 3
  8. b_4_13c_1_24 + c_1_1·c_1_23 + c_1_14, an element of degree 4
  9. b_5_16c_1_25, an element of degree 5
  10. b_5_17c_1_25 + c_1_12·c_1_23 + c_1_14·c_1_2, an element of degree 5
  11. a_9_230, an element of degree 9
  12. b_9_37c_1_1·c_1_28 + c_1_18·c_1_2, an element of degree 9
  13. b_10_46c_1_210 + c_1_12·c_1_28 + c_1_13·c_1_27 + c_1_15·c_1_25 + c_1_16·c_1_24
       + c_1_02·c_1_12·c_1_26 + c_1_02·c_1_14·c_1_24 + c_1_04·c_1_26
       + c_1_04·c_1_12·c_1_24 + c_1_04·c_1_14·c_1_22 + c_1_08·c_1_22, an element of degree 10
  14. b_10_47c_1_210 + c_1_1·c_1_29 + c_1_12·c_1_28 + c_1_02·c_1_12·c_1_26
       + c_1_02·c_1_14·c_1_24 + c_1_04·c_1_26 + c_1_04·c_1_12·c_1_24
       + c_1_04·c_1_14·c_1_22 + c_1_08·c_1_22, an element of degree 10
  15. b_10_48c_1_1·c_1_29 + c_1_13·c_1_27 + c_1_14·c_1_26 + c_1_18·c_1_22 + c_1_19·c_1_2
       + c_1_110, an element of degree 10
  16. b_11_56c_1_1·c_1_210 + c_1_14·c_1_27 + c_1_15·c_1_26 + c_1_16·c_1_25
       + c_1_19·c_1_22 + c_1_110·c_1_2, an element of degree 11
  17. b_11_57c_1_1·c_1_210 + c_1_12·c_1_29 + c_1_13·c_1_28 + c_1_18·c_1_23
       + c_1_19·c_1_22 + c_1_110·c_1_2 + c_1_02·c_1_12·c_1_27
       + c_1_02·c_1_13·c_1_26 + c_1_02·c_1_15·c_1_24 + c_1_02·c_1_16·c_1_23
       + c_1_04·c_1_27 + c_1_04·c_1_1·c_1_26 + c_1_04·c_1_13·c_1_24
       + c_1_04·c_1_15·c_1_22 + c_1_04·c_1_16·c_1_2 + c_1_08·c_1_23
       + c_1_08·c_1_1·c_1_22 + c_1_08·c_1_12·c_1_2, an element of degree 11
  18. b_13_74c_1_213 + c_1_1·c_1_212 + c_1_13·c_1_210 + c_1_14·c_1_29 + c_1_15·c_1_28
       + c_1_16·c_1_27 + c_1_18·c_1_25 + c_1_02·c_1_14·c_1_27
       + c_1_02·c_1_18·c_1_23 + c_1_04·c_1_12·c_1_27 + c_1_04·c_1_18·c_1_2
       + c_1_08·c_1_12·c_1_23 + c_1_08·c_1_14·c_1_2, an element of degree 13
  19. c_16_105c_1_216 + c_1_12·c_1_214 + c_1_13·c_1_213 + c_1_16·c_1_210 + c_1_17·c_1_29
       + c_1_110·c_1_26 + c_1_111·c_1_25 + c_1_113·c_1_23 + c_1_114·c_1_22
       + c_1_02·c_1_15·c_1_29 + c_1_02·c_1_16·c_1_28 + c_1_02·c_1_19·c_1_25
       + c_1_02·c_1_110·c_1_24 + c_1_04·c_1_13·c_1_29 + c_1_04·c_1_18·c_1_24
       + c_1_04·c_1_19·c_1_23 + c_1_04·c_1_110·c_1_22 + c_1_08·c_1_28
       + c_1_08·c_1_13·c_1_25 + c_1_08·c_1_15·c_1_23 + c_1_08·c_1_16·c_1_22
       + c_1_08·c_1_18 + c_1_016, an element of degree 16


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