Cohomology of group number 1872 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 4 minimal generators and exponent 8.
  • It is non-abelian.
  • It has p-Rank 4.
  • Its center has rank 2.
  • It has a unique conjugacy class of maximal elementary abelian subgroups, which is of rank 4.


Structure of the cohomology ring

General information

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

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

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

Ring generators

The cohomology ring has 16 minimal generators of maximal degree 10:

  1. a_1_1, a nilpotent element of degree 1
  2. a_1_2, a nilpotent element of degree 1
  3. b_1_0, an element of degree 1
  4. b_1_3, an element of degree 1
  5. b_3_10, an element of degree 3
  6. b_4_12, an element of degree 4
  7. b_4_13, an element of degree 4
  8. c_4_14, a Duflot regular element of degree 4
  9. a_5_12, a nilpotent element of degree 5
  10. b_5_22, an element of degree 5
  11. b_5_23, an element of degree 5
  12. b_6_35, an element of degree 6
  13. b_7_45, an element of degree 7
  14. b_8_54, an element of degree 8
  15. c_8_56, a Duflot regular element of degree 8
  16. b_10_99, an element of degree 10

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

Ring relations

There are 78 minimal relations of maximal degree 20:

  1. a_1_1·b_1_0 + a_1_22
  2. a_1_2·b_1_0 + a_1_12
  3. a_1_1·a_1_22 + a_1_12·a_1_2
  4. a_1_2·b_1_32 + a_1_1·b_1_32 + a_1_12·a_1_2
  5. a_1_2·b_3_10 + a_1_1·b_3_10
  6. a_1_13·b_1_32
  7. a_1_1·b_1_3·b_3_10 + b_4_12·a_1_1
  8. a_1_1·b_1_3·b_3_10 + b_4_12·a_1_2
  9. b_1_32·b_3_10 + b_1_0·b_1_3·b_3_10 + b_4_13·b_1_0 + b_4_12·b_1_0 + a_1_12·b_3_10
       + a_1_12·b_1_33
  10. b_4_13·a_1_2 + b_4_13·a_1_1 + a_1_12·b_3_10
  11. b_3_102 + b_1_02·b_1_3·b_3_10 + b_4_13·b_1_02 + b_4_12·b_1_02 + c_4_14·b_1_02
       + c_4_14·a_1_22 + c_4_14·a_1_12
  12. b_1_0·a_5_12 + a_1_2·a_5_12 + a_1_1·a_5_12 + a_1_12·b_1_34 + b_4_12·a_1_12
       + c_4_14·a_1_22 + c_4_14·a_1_1·a_1_2 + c_4_14·a_1_12
  13. b_1_0·a_5_12 + a_1_1·b_5_22 + b_4_13·a_1_1·b_1_3 + c_4_14·a_1_1·a_1_2 + c_4_14·a_1_12
  14. a_1_2·b_5_22 + b_4_13·a_1_1·b_1_3 + a_1_1·a_5_12 + b_4_12·a_1_12 + c_4_14·a_1_22
       + c_4_14·a_1_1·a_1_2
  15. b_3_102 + b_1_0·b_5_23 + b_1_02·b_1_3·b_3_10 + b_1_03·b_3_10 + b_4_12·b_1_32
       + b_4_12·b_1_0·b_1_3 + b_4_12·b_1_02 + a_1_1·b_5_23 + b_4_13·a_1_1·b_1_3 + a_1_1·a_5_12
       + a_1_12·b_1_34 + c_4_14·b_1_02 + c_4_14·a_1_12
  16. b_1_0·a_5_12 + a_1_2·b_5_23 + a_1_1·b_5_23 + a_1_1·a_5_12 + b_4_12·a_1_12
       + c_4_14·a_1_22 + c_4_14·a_1_1·a_1_2
  17. b_4_13·b_3_10 + b_4_13·b_1_0·b_1_32 + b_4_12·b_3_10 + b_4_12·b_1_0·b_1_32
       + b_4_13·a_1_12·b_1_3 + b_4_13·a_1_13 + c_4_14·b_1_0·b_1_32 + c_4_14·b_1_02·b_1_3
       + c_4_14·a_1_22·b_1_3 + c_4_14·a_1_12·b_1_3 + c_4_14·a_1_12·a_1_2
  18. a_1_1·a_1_2·a_5_12 + b_4_13·a_1_13 + c_4_14·a_1_12·a_1_2
  19. b_1_32·a_5_12 + a_1_1·b_1_36 + a_1_12·b_5_23 + a_1_12·b_1_35
       + c_4_14·a_1_1·b_1_32 + c_4_14·a_1_13
  20. a_1_1·b_1_3·b_5_23 + b_6_35·a_1_1 + a_1_2·b_1_3·a_5_12 + a_1_1·b_1_3·a_5_12
       + a_1_12·a_5_12 + b_4_13·a_1_13 + c_4_14·a_1_1·a_1_2·b_1_3
  21. b_1_0·b_1_3·b_5_22 + b_1_02·b_5_22 + b_1_04·b_3_10 + b_6_35·b_1_0 + b_4_13·b_3_10
       + b_4_13·b_1_02·b_1_3 + b_4_13·b_1_03 + b_4_12·b_1_33 + b_4_12·b_1_0·b_1_32
       + b_4_12·b_1_02·b_1_3 + b_4_12·b_1_03 + a_1_1·b_1_3·b_5_23 + b_4_13·a_1_1·b_1_32
       + a_1_1·b_1_3·a_5_12 + a_1_12·a_5_12 + c_4_14·b_1_0·b_1_32 + c_4_14·b_1_02·b_1_3
       + c_4_14·a_1_22·b_1_3 + c_4_14·a_1_12·b_1_3 + c_4_14·a_1_12·a_1_2 + c_4_14·a_1_13
  22. a_1_1·b_1_3·b_5_23 + b_6_35·a_1_2 + a_1_2·b_1_3·a_5_12 + a_1_1·b_1_3·a_5_12
       + a_1_12·a_5_12 + b_4_13·a_1_13 + c_4_14·a_1_1·a_1_2·b_1_3
  23. b_4_13·b_1_34 + b_4_13·b_1_0·b_1_33 + b_4_132 + b_4_12·b_1_34
       + b_4_12·b_1_0·b_1_33 + b_4_122 + a_1_12·b_1_36 + b_4_13·a_1_12·b_1_32
       + b_4_13·a_1_13·b_1_3 + c_4_14·b_1_34 + c_4_14·b_1_02·b_1_32
  24. b_3_10·a_5_12 + b_4_13·a_1_12·b_1_32 + c_4_14·a_1_1·b_3_10 + c_4_14·a_1_13·b_1_3
  25. b_1_03·b_5_22 + b_4_13·b_1_02·b_1_32 + b_4_13·b_1_03·b_1_3 + b_4_122
       + c_4_14·b_1_02·b_1_32
  26. b_1_33·b_5_23 + b_1_33·b_5_22 + b_1_04·b_1_3·b_3_10 + b_1_05·b_3_10
       + b_6_35·b_1_32 + b_6_35·b_1_0·b_1_3 + b_6_35·b_1_02 + b_4_13·b_1_34
       + b_4_13·b_1_0·b_1_33 + b_4_13·b_1_04 + b_4_12·b_1_0·b_3_10 + b_4_12·b_1_03·b_1_3
       + b_4_12·b_1_04 + b_4_12·b_4_13 + a_1_1·b_1_37 + b_6_35·a_1_1·b_1_3
       + a_1_12·b_1_36 + b_6_35·a_1_12 + b_4_13·a_1_12·b_1_32 + a_1_12·b_1_3·a_5_12
       + b_4_13·a_1_13·b_1_3 + c_4_14·b_1_02·b_1_32 + c_4_14·a_1_1·b_1_33
  27. b_3_10·b_5_23 + b_1_04·b_1_3·b_3_10 + b_4_13·b_1_02·b_1_32 + b_4_13·b_1_04
       + b_4_12·b_1_0·b_3_10 + b_4_12·b_1_02·b_1_32 + b_4_12·b_1_04 + b_4_12·b_4_13
       + b_4_122 + a_1_1·b_7_45 + a_1_12·b_1_36 + b_6_35·a_1_12 + a_1_12·b_1_3·a_5_12
       + b_4_13·a_1_13·b_1_3 + c_4_14·b_1_02·b_1_32 + c_4_14·b_1_03·b_1_3
       + c_4_14·b_1_04 + c_4_14·a_1_1·b_3_10 + c_4_14·a_1_12·a_1_2·b_1_3
       + c_4_14·a_1_13·b_1_3
  28. b_3_10·b_5_23 + b_3_10·b_5_22 + b_1_33·b_5_23 + b_1_33·b_5_22 + b_1_0·b_7_45
       + b_6_35·b_1_32 + b_6_35·b_1_0·b_1_3 + b_4_13·b_1_34 + b_4_13·b_1_0·b_1_33
       + b_4_13·b_1_03·b_1_3 + b_4_13·b_1_04 + b_4_12·b_1_0·b_3_10
       + b_4_12·b_1_02·b_1_32 + b_4_12·b_4_13 + b_4_122 + a_1_1·b_1_37
       + b_6_35·a_1_1·b_1_3 + b_6_35·a_1_12 + c_4_14·b_1_0·b_3_10 + c_4_14·b_1_03·b_1_3
       + c_4_14·a_1_1·b_3_10 + c_4_14·a_1_1·b_1_33 + c_4_14·a_1_12·a_1_2·b_1_3
       + c_4_14·a_1_13·b_1_3
  29. b_3_10·b_5_23 + b_1_04·b_1_3·b_3_10 + b_4_13·b_1_02·b_1_32 + b_4_13·b_1_04
       + b_4_12·b_1_0·b_3_10 + b_4_12·b_1_02·b_1_32 + b_4_12·b_1_04 + b_4_12·b_4_13
       + b_4_122 + a_1_2·b_7_45 + a_1_12·b_1_36 + b_6_35·a_1_12 + c_4_14·b_1_02·b_1_32
       + c_4_14·b_1_03·b_1_3 + c_4_14·b_1_04 + c_4_14·a_1_1·b_3_10 + c_4_14·a_1_13·b_1_3
  30. b_4_12·a_5_12 + b_4_13·a_1_12·b_1_33 + b_4_12·c_4_14·a_1_1
  31. b_4_13·a_5_12 + b_4_132·a_1_1 + a_1_12·b_7_45 + c_4_14·a_1_1·b_1_34
       + b_4_13·c_4_14·a_1_1 + c_4_14·a_1_12·b_1_33
  32. b_1_05·b_1_3·b_3_10 + b_6_35·b_1_02·b_1_3 + b_4_13·b_1_04·b_1_3 + b_4_132·b_1_0
       + b_4_12·b_5_23 + b_4_12·b_1_0·b_1_3·b_3_10 + b_4_12·b_1_02·b_3_10
       + b_4_12·b_1_02·b_1_33 + b_4_12·b_1_03·b_1_32 + b_4_12·b_1_04·b_1_3
       + b_4_12·b_4_13·b_1_0 + b_4_122·b_1_0 + a_1_1·b_1_3·b_7_45 + a_1_12·b_1_37
       + b_6_35·a_1_12·b_1_3 + b_4_13·a_1_12·b_1_33 + c_4_14·b_1_02·b_1_33
       + c_4_14·b_1_03·b_1_32 + b_4_12·c_4_14·a_1_1
  33. b_1_32·b_7_45 + b_1_0·b_1_3·b_7_45 + b_1_05·b_1_3·b_3_10 + b_6_35·b_1_0·b_1_32
       + b_4_13·b_5_23 + b_4_13·b_5_22 + b_4_13·b_1_02·b_1_33 + b_4_13·b_1_03·b_1_32
       + b_4_13·b_1_05 + b_4_132·b_1_0 + b_4_12·b_5_23 + b_4_12·b_5_22
       + b_4_12·b_1_0·b_1_3·b_3_10 + b_4_12·b_1_0·b_1_34 + b_4_12·b_1_02·b_1_33
       + b_4_12·b_1_03·b_1_32 + b_4_12·b_1_04·b_1_3 + b_4_12·b_1_05 + b_4_122·b_1_0
       + a_1_1·b_1_38 + b_6_35·a_1_1·b_1_32 + a_1_12·b_1_37 + b_4_13·a_1_12·b_1_33
       + c_4_14·b_1_0·b_1_34 + c_4_14·b_1_02·b_1_33 + b_4_13·c_4_14·b_1_0
       + b_4_12·c_4_14·b_1_0 + b_4_13·c_4_14·a_1_1 + b_4_12·c_4_14·a_1_1
       + c_4_14·a_1_12·b_3_10 + c_4_14·a_1_12·b_1_33
  34. b_1_32·b_7_45 + b_1_02·b_7_45 + b_1_05·b_1_3·b_3_10 + b_6_35·b_3_10
       + b_6_35·b_1_0·b_1_32 + b_6_35·b_1_02·b_1_3 + b_4_13·b_5_23 + b_4_13·b_5_22
       + b_4_13·b_1_02·b_1_33 + b_4_13·b_1_03·b_1_32 + b_4_12·b_5_23 + b_4_12·b_5_22
       + b_4_12·b_1_0·b_1_3·b_3_10 + b_4_12·b_1_0·b_1_34 + b_4_12·b_1_03·b_1_32
       + b_4_12·b_1_04·b_1_3 + b_4_12·b_1_05 + a_1_1·b_1_38 + b_6_35·a_1_1·b_1_32
       + b_4_13·a_5_12 + b_4_132·a_1_1 + b_4_13·a_1_12·b_1_33 + c_4_14·b_1_0·b_1_3·b_3_10
       + c_4_14·b_1_0·b_1_34 + c_4_14·b_1_02·b_3_10 + b_4_13·c_4_14·b_1_0
       + c_4_14·a_1_1·b_1_34 + b_4_12·c_4_14·a_1_1 + c_4_14·a_1_12·b_3_10
       + c_4_14·a_1_12·b_1_33
  35. b_1_05·b_1_3·b_3_10 + b_6_35·b_1_02·b_1_3 + b_4_13·b_1_04·b_1_3 + b_4_132·b_1_0
       + b_4_12·b_5_23 + b_4_12·b_1_0·b_1_3·b_3_10 + b_4_12·b_1_02·b_3_10
       + b_4_12·b_1_02·b_1_33 + b_4_12·b_1_03·b_1_32 + b_4_12·b_1_04·b_1_3
       + b_4_12·b_4_13·b_1_0 + b_4_122·b_1_0 + b_8_54·a_1_1 + b_4_13·a_5_12 + b_4_132·a_1_1
       + b_6_35·a_1_12·b_1_3 + b_4_13·a_1_12·b_1_33 + c_4_14·b_1_02·b_1_33
       + c_4_14·b_1_03·b_1_32
  36. b_1_32·b_7_45 + b_8_54·b_1_0 + b_6_35·b_3_10 + b_6_35·b_1_03 + b_4_13·b_5_23
       + b_4_13·b_5_22 + b_4_13·b_1_02·b_1_33 + b_4_13·b_1_03·b_1_32
       + b_4_13·b_1_04·b_1_3 + b_4_12·b_1_35 + b_4_12·b_1_0·b_1_3·b_3_10
       + b_4_12·b_1_02·b_3_10 + b_4_12·b_4_13·b_1_0 + b_4_122·b_1_3 + a_1_1·b_1_38
       + b_4_13·a_5_12 + b_6_35·a_1_12·b_1_3 + b_4_13·a_1_12·b_1_33
       + c_4_14·b_1_02·b_3_10 + c_4_14·b_1_03·b_1_32 + c_4_14·b_1_04·b_1_3
       + b_4_12·c_4_14·b_1_0 + c_4_14·a_1_12·b_3_10
  37. b_1_05·b_1_3·b_3_10 + b_6_35·b_1_02·b_1_3 + b_4_13·b_1_04·b_1_3 + b_4_132·b_1_0
       + b_4_12·b_5_23 + b_4_12·b_1_0·b_1_3·b_3_10 + b_4_12·b_1_02·b_3_10
       + b_4_12·b_1_02·b_1_33 + b_4_12·b_1_03·b_1_32 + b_4_12·b_1_04·b_1_3
       + b_4_12·b_4_13·b_1_0 + b_4_122·b_1_0 + b_8_54·a_1_2 + b_4_13·a_5_12 + b_4_132·a_1_1
       + b_6_35·a_1_12·b_1_3 + b_4_13·a_1_12·b_1_33 + c_4_14·b_1_02·b_1_33
       + c_4_14·b_1_03·b_1_32 + c_4_14·a_1_12·b_3_10
  38. b_4_13·b_1_3·b_5_23 + b_4_13·b_1_3·b_5_22 + b_4_13·b_1_0·b_5_22
       + b_4_13·b_1_03·b_1_33 + b_4_13·b_1_04·b_1_32 + b_4_13·b_6_35 + b_4_132·b_1_32
       + b_4_132·b_1_02 + b_4_12·b_1_3·b_5_23 + b_4_12·b_1_3·b_5_22 + b_4_12·b_1_0·b_5_22
       + b_4_12·b_1_03·b_1_33 + b_4_12·b_1_04·b_1_32 + b_4_12·b_6_35
       + b_4_12·b_4_13·b_1_32 + b_4_12·b_4_13·b_1_0·b_1_3 + b_4_122·b_1_0·b_1_3
       + b_4_122·b_1_02 + b_4_132·a_1_12 + c_4_14·b_1_03·b_1_33
       + c_4_14·b_1_05·b_1_3 + b_4_12·c_4_14·b_1_32 + b_4_12·c_4_14·b_1_0·b_1_3
       + c_4_14·a_1_1·b_1_35 + b_4_13·c_4_14·a_1_1·b_1_3 + c_4_14·a_1_12·b_1_34
       + b_4_13·c_4_14·a_1_12
  39. b_3_10·b_7_45 + b_4_13·b_1_0·b_5_22 + b_4_132·b_1_02 + b_4_12·b_1_0·b_5_22
       + b_4_12·b_1_02·b_1_3·b_3_10 + b_4_12·b_1_03·b_3_10 + b_4_12·b_4_13·b_1_32
       + b_4_12·b_4_13·b_1_0·b_1_3 + b_4_122·b_1_32 + b_4_122·b_1_0·b_1_3
       + b_4_122·b_1_02 + a_5_12·b_5_23 + a_5_12·b_5_22 + b_6_35·a_1_1·b_1_33
       + b_4_13·a_1_1·b_5_23 + a_1_12·b_1_38 + b_6_35·a_1_12·b_1_32 + b_4_132·a_1_12
       + c_4_14·b_1_0·b_5_22 + c_4_14·b_1_03·b_3_10 + b_4_12·c_4_14·b_1_32
       + b_4_12·c_4_14·b_1_0·b_1_3 + c_4_14·a_1_1·b_1_35 + c_4_14·a_1_2·a_5_12
       + c_4_14·a_1_1·a_5_12 + c_4_14·a_1_12·b_1_34 + b_4_13·c_4_14·a_1_12
       + b_4_12·c_4_14·a_1_12 + c_4_142·b_1_02
  40. b_5_232 + b_6_35·b_1_0·b_1_33 + b_4_13·b_1_03·b_1_33 + b_4_13·b_1_05·b_1_3
       + b_4_132·b_1_32 + b_4_132·b_1_02 + b_4_12·b_1_3·b_5_23 + b_4_12·b_1_0·b_1_35
       + b_4_12·b_1_02·b_1_34 + b_4_12·b_1_03·b_1_33 + b_4_12·b_1_05·b_1_3
       + b_4_12·b_4_13·b_1_02 + b_4_122·b_1_32 + b_4_122·b_1_0·b_1_3 + b_4_122·b_1_02
       + b_4_13·a_1_1·b_5_23 + b_4_132·a_1_1·b_1_3 + a_5_122 + b_6_35·a_1_12·b_1_32
       + c_4_14·b_1_0·b_1_35 + c_4_14·b_1_02·b_1_34 + c_4_14·b_1_06 + c_8_56·a_1_12
       + c_4_14·a_1_12·b_1_34 + b_4_13·c_4_14·a_1_12 + b_4_12·c_4_14·a_1_12
  41. b_5_232 + b_5_222 + b_6_35·b_1_0·b_1_33 + b_6_35·b_1_03·b_1_3 + b_6_35·b_1_04
       + b_4_13·b_1_03·b_1_33 + b_4_13·b_1_04·b_1_32 + b_4_13·b_1_05·b_1_3
       + b_4_132·b_1_02 + b_4_12·b_1_3·b_5_23 + b_4_12·b_1_02·b_1_3·b_3_10
       + b_4_12·b_1_03·b_3_10 + b_4_122·b_1_02 + b_4_13·a_1_1·b_5_23
       + b_4_132·a_1_1·b_1_3 + a_5_122 + a_1_12·b_1_38 + b_6_35·a_1_12·b_1_32
       + c_8_56·b_1_02 + c_4_14·b_1_0·b_1_35 + c_4_14·b_1_02·b_1_34
       + c_4_14·b_1_04·b_1_32 + c_4_14·b_1_06 + b_4_13·c_4_14·b_1_02
       + b_4_12·c_4_14·b_1_02 + c_4_142·b_1_02 + c_4_142·a_1_22 + c_4_142·a_1_12
  42. b_5_232 + b_6_35·b_1_0·b_1_33 + b_4_13·b_1_03·b_1_33 + b_4_13·b_1_05·b_1_3
       + b_4_132·b_1_32 + b_4_132·b_1_02 + b_4_12·b_1_3·b_5_23 + b_4_12·b_1_0·b_1_35
       + b_4_12·b_1_02·b_1_34 + b_4_12·b_1_03·b_1_33 + b_4_12·b_1_05·b_1_3
       + b_4_12·b_4_13·b_1_02 + b_4_122·b_1_32 + b_4_122·b_1_0·b_1_3 + b_4_122·b_1_02
       + a_5_12·b_5_23 + b_6_35·a_1_1·b_1_33 + b_4_13·a_1_1·b_5_23 + b_4_132·a_1_1·b_1_3
       + a_1_12·b_1_38 + b_4_132·a_1_12 + c_4_14·b_1_0·b_1_35
       + c_4_14·b_1_02·b_1_34 + c_4_14·b_1_06 + c_4_14·a_1_1·b_5_23 + c_8_56·a_1_1·a_1_2
       + c_4_14·a_1_1·a_5_12 + c_4_14·a_1_12·b_1_34 + b_4_13·c_4_14·a_1_12
       + b_4_12·c_4_14·a_1_12
  43. b_5_232 + b_6_35·b_1_0·b_1_33 + b_4_13·b_1_03·b_1_33 + b_4_13·b_1_05·b_1_3
       + b_4_132·b_1_32 + b_4_132·b_1_02 + b_4_12·b_1_3·b_5_23 + b_4_12·b_1_0·b_1_35
       + b_4_12·b_1_02·b_1_34 + b_4_12·b_1_03·b_1_33 + b_4_12·b_1_05·b_1_3
       + b_4_12·b_4_13·b_1_02 + b_4_122·b_1_32 + b_4_122·b_1_0·b_1_3 + b_4_122·b_1_02
       + b_4_13·a_1_1·b_5_23 + b_4_132·a_1_1·b_1_3 + a_1_12·b_1_38
       + b_6_35·a_1_12·b_1_32 + c_4_14·b_1_0·b_1_35 + c_4_14·b_1_02·b_1_34
       + c_4_14·b_1_06 + c_8_56·a_1_22 + c_4_14·a_1_12·b_1_34 + b_4_13·c_4_14·a_1_12
       + b_4_12·c_4_14·a_1_12 + c_4_142·a_1_12
  44. a_5_12·b_5_23 + a_5_12·b_5_22 + b_6_35·a_1_1·b_1_33 + b_4_132·a_1_1·b_1_3
       + a_1_12·b_1_38 + b_8_54·a_1_12 + b_6_35·a_1_12·b_1_32 + b_4_132·a_1_12
       + c_4_14·a_1_1·b_5_23 + c_4_14·a_1_1·b_1_35 + b_4_13·c_4_14·a_1_1·b_1_3
       + c_4_14·a_1_2·a_5_12 + b_4_13·c_4_14·a_1_12 + b_4_12·c_4_14·a_1_12
       + c_4_142·a_1_22 + c_4_142·a_1_12
  45. b_5_22·b_5_23 + b_1_35·b_5_22 + b_8_54·b_1_32 + b_6_35·b_1_0·b_3_10
       + b_6_35·b_1_0·b_1_33 + b_4_13·b_1_04·b_1_32 + b_4_132·b_1_02
       + b_4_12·b_1_3·b_5_22 + b_4_12·b_1_36 + b_4_12·b_1_0·b_5_22 + b_4_12·b_1_0·b_1_35
       + b_4_12·b_1_02·b_1_3·b_3_10 + b_4_12·b_1_04·b_1_32 + b_4_12·b_4_13·b_1_02
       + b_4_122·b_1_32 + a_5_12·b_5_23 + a_1_1·b_1_39 + b_6_35·a_1_1·b_1_33
       + b_4_13·a_1_1·b_5_23 + b_4_132·a_1_1·b_1_3 + a_5_122 + a_1_12·b_1_38
       + b_6_35·a_1_12·b_1_32 + c_4_14·b_1_02·b_1_34 + c_4_14·b_1_03·b_1_33
       + c_4_14·b_1_05·b_1_3 + c_4_14·b_1_06 + b_4_13·c_4_14·b_1_32
       + b_4_13·c_4_14·b_1_0·b_1_3 + b_4_12·c_4_14·b_1_32 + b_4_12·c_4_14·b_1_0·b_1_3
       + b_4_12·c_4_14·b_1_02 + c_4_14·a_1_1·b_1_35 + c_4_14·a_1_1·a_5_12
       + c_4_14·a_1_12·b_1_34 + b_4_13·c_4_14·a_1_12 + c_4_142·a_1_22
       + c_4_142·a_1_1·a_1_2
  46. b_8_54·b_1_02 + b_6_35·b_1_03·b_1_3 + b_6_35·b_1_04 + b_4_13·b_1_3·b_5_23
       + b_4_13·b_1_3·b_5_22 + b_4_13·b_1_0·b_5_22 + b_4_13·b_1_06 + b_4_13·b_6_35
       + b_4_132·b_1_32 + b_4_132·b_1_0·b_1_3 + b_4_12·b_1_3·b_5_23 + b_4_12·b_1_0·b_5_22
       + b_4_12·b_1_0·b_1_35 + b_4_12·b_1_02·b_1_3·b_3_10 + b_4_12·b_1_03·b_3_10
       + b_4_12·b_1_03·b_1_33 + b_4_12·b_1_04·b_1_32 + b_4_12·b_1_05·b_1_3
       + b_4_12·b_1_06 + a_5_12·b_5_23 + a_5_12·b_5_22 + b_6_35·a_1_1·b_1_33
       + b_4_13·a_1_1·b_5_23 + a_1_12·b_1_38 + b_6_35·a_1_12·b_1_32
       + c_4_14·b_1_03·b_3_10 + c_4_14·b_1_03·b_1_33 + c_4_14·b_1_06
       + b_4_12·c_4_14·b_1_32 + b_4_12·c_4_14·b_1_0·b_1_3 + c_4_14·a_1_1·b_5_23
       + c_4_14·a_1_2·a_5_12 + c_4_14·a_1_12·b_1_34 + c_4_142·a_1_22 + c_4_142·a_1_12
  47. b_6_35·a_5_12 + b_6_35·a_1_1·b_1_34 + b_6_35·a_1_12·b_1_33
       + b_4_132·a_1_12·b_1_3 + c_4_14·b_6_35·a_1_1
  48. b_4_13·b_7_45 + b_4_13·b_1_04·b_1_33 + b_4_13·b_6_35·b_1_3 + b_4_132·b_1_33
       + b_4_12·b_7_45 + b_4_12·b_1_04·b_1_33 + b_4_12·b_6_35·b_1_3
       + b_4_12·b_4_13·b_1_0·b_1_32 + b_4_12·b_4_13·b_1_02·b_1_3 + b_4_12·b_4_13·b_1_03
       + b_4_122·b_1_33 + b_4_122·b_1_0·b_1_32 + b_4_122·b_1_02·b_1_3
       + b_4_122·b_1_03 + b_6_35·a_1_12·b_1_33 + b_4_13·a_1_12·b_5_23
       + b_4_132·a_1_12·b_1_3 + c_4_14·b_1_32·b_5_23 + c_4_14·b_1_32·b_5_22
       + c_4_14·b_1_02·b_5_22 + c_4_14·b_1_03·b_1_3·b_3_10 + c_4_14·b_1_04·b_3_10
       + c_4_14·b_1_04·b_1_33 + c_4_14·b_1_05·b_1_32 + c_4_14·b_6_35·b_1_0
       + b_4_13·c_4_14·b_1_02·b_1_3 + b_4_13·c_4_14·b_1_03 + b_4_12·c_4_14·b_3_10
       + b_4_12·c_4_14·b_1_33 + b_4_12·c_4_14·b_1_02·b_1_3 + b_4_12·c_4_14·b_1_03
       + c_4_14·a_1_12·b_1_35 + c_4_14·a_1_12·a_5_12 + b_4_13·c_4_14·a_1_13
       + c_4_142·b_1_0·b_1_32 + c_4_142·b_1_02·b_1_3 + c_4_142·a_1_1·b_1_32
       + c_4_142·a_1_22·b_1_3 + c_4_142·a_1_12·b_1_3 + c_4_142·a_1_12·a_1_2
       + c_4_142·a_1_13
  49. b_6_35·b_5_23 + b_6_35·b_5_22 + b_6_35·b_1_0·b_1_34 + b_6_35·b_1_04·b_1_3
       + b_6_35·b_1_05 + b_4_13·b_7_45 + b_4_13·b_1_02·b_5_22 + b_4_13·b_1_07
       + b_4_13·b_6_35·b_1_0 + b_4_132·b_1_02·b_1_3 + b_4_132·b_1_03
       + b_4_12·b_1_02·b_1_35 + b_4_12·b_1_03·b_1_34 + b_4_12·b_1_05·b_1_32
       + b_4_12·b_1_06·b_1_3 + b_4_12·b_1_07 + b_4_12·b_6_35·b_1_3 + b_4_12·b_6_35·b_1_0
       + b_4_12·b_4_13·b_1_33 + b_4_12·b_4_13·b_1_0·b_1_32 + b_4_12·b_4_13·b_1_02·b_1_3
       + b_4_122·b_3_10 + b_4_122·b_1_03 + b_6_35·a_1_1·b_1_34 + b_4_132·a_1_1·b_1_32
       + a_1_12·b_1_39 + b_6_35·a_1_12·b_1_33 + b_4_13·a_1_12·b_5_23
       + c_8_56·b_1_02·b_1_3 + c_8_56·b_1_03 + c_4_14·b_1_32·b_5_23
       + c_4_14·b_1_32·b_5_22 + c_4_14·b_1_0·b_1_36 + c_4_14·b_1_02·b_5_22
       + c_4_14·b_1_02·b_1_35 + c_4_14·b_1_04·b_3_10 + c_4_14·b_1_04·b_1_33
       + c_4_14·b_1_06·b_1_3 + c_4_14·b_1_07 + c_4_14·b_6_35·b_1_0
       + b_4_13·c_4_14·b_1_02·b_1_3 + b_4_13·c_4_14·b_1_03 + b_4_12·c_4_14·b_1_02·b_1_3
       + b_4_12·c_4_14·b_1_03 + c_4_14·b_6_35·a_1_1 + c_8_56·a_1_22·b_1_3
       + c_8_56·a_1_12·b_1_3 + c_4_14·a_1_12·b_5_23 + c_8_56·a_1_13
       + c_4_142·b_1_0·b_1_32 + c_4_142·b_1_03 + c_4_142·a_1_1·b_1_32
       + c_4_142·a_1_12·a_1_2 + c_4_142·a_1_13
  50. b_8_54·b_3_10 + b_4_13·b_7_45 + b_4_13·b_1_02·b_5_22 + b_4_13·b_1_05·b_1_32
       + b_4_13·b_1_06·b_1_3 + b_4_13·b_6_35·b_1_3 + b_4_13·b_6_35·b_1_0 + b_4_132·b_1_33
       + b_4_132·b_1_02·b_1_3 + b_4_132·b_1_03 + b_4_12·b_1_03·b_1_3·b_3_10
       + b_4_12·b_1_04·b_3_10 + b_4_12·b_1_05·b_1_32 + b_4_12·b_1_06·b_1_3
       + b_4_12·b_6_35·b_1_3 + b_4_12·b_4_13·b_1_33 + b_4_12·b_4_13·b_1_03
       + b_4_122·b_1_03 + b_4_13·b_6_35·a_1_1 + b_4_132·a_1_1·b_1_32
       + b_6_35·a_1_12·b_1_33 + b_4_13·a_1_12·b_5_23 + c_4_14·b_1_32·b_5_23
       + c_4_14·b_1_32·b_5_22 + c_4_14·b_1_03·b_1_3·b_3_10 + c_4_14·b_1_05·b_1_32
       + c_4_14·b_1_07 + c_4_14·b_6_35·b_1_0 + b_4_12·c_4_14·b_1_33
       + b_4_12·c_4_14·b_1_02·b_1_3 + c_4_14·a_1_12·b_5_23 + c_4_14·a_1_12·b_1_35
       + b_4_13·c_4_14·a_1_12·b_1_3 + c_4_14·a_1_12·a_5_12 + b_4_13·c_4_14·a_1_13
       + c_4_142·b_1_02·b_1_3 + c_4_142·b_1_03 + c_4_142·a_1_1·b_1_32
       + c_4_142·a_1_22·b_1_3 + c_4_142·a_1_12·b_1_3
  51. b_1_36·b_5_22 + b_8_54·b_1_33 + b_6_35·b_5_23 + b_6_35·b_1_04·b_1_3
       + b_4_13·b_1_32·b_5_22 + b_4_13·b_1_06·b_1_3 + b_4_13·b_1_07 + b_4_13·b_6_35·b_1_3
       + b_4_13·b_6_35·b_1_0 + b_4_12·b_1_32·b_5_23 + b_4_12·b_1_32·b_5_22 + b_4_12·b_1_37
       + b_4_12·b_1_02·b_5_22 + b_4_12·b_1_02·b_1_35 + b_4_12·b_1_04·b_3_10
       + b_4_12·b_1_04·b_1_33 + b_4_12·b_1_05·b_1_32 + b_4_12·b_1_06·b_1_3
       + b_4_12·b_1_07 + b_4_12·b_6_35·b_1_3 + b_4_12·b_6_35·b_1_0
       + b_4_12·b_4_13·b_1_0·b_1_32 + b_4_12·b_4_13·b_1_02·b_1_3 + a_1_1·b_1_310
       + b_6_35·a_1_1·b_1_34 + b_4_132·a_1_1·b_1_32 + a_1_12·b_1_39
       + b_4_13·a_1_12·b_5_23 + b_4_132·a_1_12·b_1_3 + c_4_14·b_1_0·b_1_36
       + c_4_14·b_1_03·b_1_3·b_3_10 + c_4_14·b_1_04·b_1_33 + c_4_14·b_1_06·b_1_3
       + c_4_14·b_1_07 + b_4_13·c_4_14·b_1_33 + b_4_13·c_4_14·b_1_03
       + b_4_12·c_4_14·b_1_0·b_1_32 + c_4_14·b_6_35·a_1_1 + c_8_56·a_1_22·b_1_3
       + c_8_56·a_1_1·a_1_2·b_1_3 + c_8_56·a_1_12·b_1_3 + c_4_14·a_1_12·b_5_23
       + b_4_13·c_4_14·a_1_12·b_1_3 + c_8_56·a_1_12·a_1_2 + c_8_56·a_1_13
       + c_4_14·a_1_12·a_5_12
  52. b_10_99·a_1_1 + b_4_13·b_6_35·a_1_1 + a_1_12·b_1_39 + b_4_13·a_1_12·b_5_23
       + b_4_132·a_1_12·b_1_3 + c_8_56·a_1_1·b_1_32 + c_4_14·b_6_35·a_1_1
       + b_4_13·c_4_14·a_1_1·b_1_32 + c_8_56·a_1_22·b_1_3 + c_8_56·a_1_1·a_1_2·b_1_3
       + c_8_56·a_1_12·b_1_3 + c_4_14·a_1_2·b_1_3·a_5_12 + c_4_14·a_1_12·b_5_23
       + b_4_13·c_4_14·a_1_12·b_1_3 + c_8_56·a_1_13 + c_4_142·a_1_1·b_1_32
       + c_4_142·a_1_12·a_1_2 + c_4_142·a_1_13
  53. b_10_99·b_1_0 + b_6_35·b_1_0·b_1_34 + b_6_35·b_1_04·b_1_3 + b_6_35·b_1_05
       + b_4_13·b_7_45 + b_4_13·b_1_05·b_1_32 + b_4_13·b_1_06·b_1_3 + b_4_13·b_6_35·b_1_3
       + b_4_13·b_6_35·b_1_0 + b_4_132·b_1_33 + b_4_132·b_1_02·b_1_3 + b_4_12·b_1_37
       + b_4_12·b_1_0·b_1_36 + b_4_12·b_1_02·b_5_22 + b_4_12·b_1_02·b_1_35
       + b_4_12·b_1_03·b_1_3·b_3_10 + b_4_12·b_1_04·b_3_10 + b_4_12·b_1_06·b_1_3
       + b_4_12·b_6_35·b_1_0 + b_4_12·b_4_13·b_1_33 + b_4_12·b_4_13·b_1_02·b_1_3
       + b_4_12·b_4_13·b_1_03 + b_4_122·b_3_10 + b_4_122·b_1_0·b_1_32
       + b_6_35·a_1_1·b_1_34 + b_4_132·a_1_1·b_1_32 + a_1_12·b_1_39
       + b_6_35·a_1_12·b_1_33 + b_4_13·a_1_12·b_5_23 + b_4_132·a_1_12·b_1_3
       + c_8_56·b_1_0·b_1_32 + c_8_56·b_1_02·b_1_3 + c_4_14·b_1_32·b_5_23
       + c_4_14·b_1_32·b_5_22 + c_4_14·b_1_02·b_5_22 + c_4_14·b_1_04·b_3_10
       + c_4_14·b_1_04·b_1_33 + b_4_12·c_4_14·b_1_0·b_1_32 + b_4_12·c_4_14·b_1_03
       + c_4_14·a_1_1·b_1_36 + c_4_14·b_6_35·a_1_1 + b_4_13·c_4_14·a_1_1·b_1_32
       + c_8_56·a_1_22·b_1_3 + c_8_56·a_1_12·b_1_3 + c_4_14·a_1_1·b_1_3·a_5_12
       + c_4_14·a_1_12·b_5_23 + c_4_14·a_1_12·b_1_35 + c_8_56·a_1_12·a_1_2
       + c_4_14·a_1_12·a_5_12 + c_4_142·b_1_03 + c_4_142·a_1_1·b_1_32
  54. b_10_99·a_1_2 + b_4_13·b_6_35·a_1_1 + a_1_12·b_1_39 + b_4_13·a_1_12·b_5_23
       + b_4_132·a_1_12·b_1_3 + c_8_56·a_1_1·b_1_32 + c_4_14·b_6_35·a_1_1
       + b_4_13·c_4_14·a_1_1·b_1_32 + c_8_56·a_1_22·b_1_3 + c_8_56·a_1_1·a_1_2·b_1_3
       + c_8_56·a_1_12·b_1_3 + c_4_14·a_1_2·b_1_3·a_5_12 + c_4_14·a_1_1·b_1_3·a_5_12
       + c_4_14·a_1_12·b_5_23 + c_4_14·a_1_12·b_1_35 + b_4_13·c_4_14·a_1_12·b_1_3
       + b_4_13·c_4_14·a_1_13 + c_4_142·a_1_1·b_1_32 + c_4_142·a_1_22·b_1_3
       + c_4_142·a_1_1·a_1_2·b_1_3 + c_4_142·a_1_12·b_1_3 + c_4_142·a_1_12·a_1_2
  55. a_5_12·b_7_45 + b_4_13·b_6_35·a_1_1·b_1_3 + b_4_132·a_1_1·b_1_33
       + a_1_12·b_1_310 + c_4_14·a_1_1·b_7_45 + c_4_14·b_6_35·a_1_12
       + b_4_13·c_4_14·a_1_12·b_1_32 + c_8_56·a_1_12·a_1_2·b_1_3 + c_8_56·a_1_13·b_1_3
       + c_4_14·a_1_12·b_1_3·a_5_12 + c_4_142·a_1_13·b_1_3
  56. b_6_35·b_1_0·b_1_35 + b_6_35·b_1_05·b_1_3 + b_6_35·b_1_06 + b_6_352
       + b_4_13·b_1_06·b_1_32 + b_4_132·b_1_0·b_1_33 + b_4_132·b_1_02·b_1_32
       + b_4_132·b_1_04 + b_4_133 + b_4_12·b_1_33·b_5_22 + b_4_12·b_1_03·b_1_35
       + b_4_12·b_1_05·b_1_33 + b_4_12·b_1_07·b_1_3 + b_4_12·b_6_35·b_1_32
       + b_4_12·b_6_35·b_1_0·b_1_3 + b_4_12·b_6_35·b_1_02 + b_4_122·b_1_3·b_3_10
       + b_4_122·b_1_0·b_3_10 + b_4_122·b_1_02·b_1_32 + b_4_122·b_4_13 + b_4_123
       + b_4_13·b_6_35·a_1_1·b_1_3 + b_4_132·a_1_1·b_1_33 + a_1_12·b_1_310
       + b_6_35·a_1_12·b_1_34 + b_4_13·b_6_35·a_1_12 + c_8_56·b_1_02·b_1_32
       + c_8_56·b_1_04 + c_4_14·b_1_0·b_1_37 + c_4_14·b_1_02·b_1_36
       + c_4_14·b_1_04·b_1_34 + c_4_14·b_1_06·b_1_32 + c_4_14·b_1_08
       + b_4_13·c_4_14·b_1_0·b_1_33 + b_4_13·c_4_14·b_1_04 + b_4_132·c_4_14
       + b_4_12·c_4_14·b_1_34 + b_4_12·c_4_14·b_1_0·b_1_33 + b_4_12·c_4_14·b_1_04
       + c_4_14·a_1_12·b_1_36 + b_4_13·c_4_14·a_1_12·b_1_32 + c_4_142·b_1_34
       + c_4_142·b_1_04
  57. b_5_23·b_7_45 + b_5_22·b_7_45 + b_4_13·b_1_08 + b_4_13·b_6_35·b_1_0·b_1_3
       + b_4_132·b_1_02·b_1_32 + b_4_132·b_1_03·b_1_3 + b_4_132·b_1_04
       + b_4_12·b_1_33·b_5_22 + b_4_12·b_1_0·b_7_45 + b_4_12·b_1_02·b_1_36
       + b_4_12·b_1_03·b_1_35 + b_4_12·b_1_05·b_3_10 + b_4_12·b_1_05·b_1_33
       + b_4_12·b_1_08 + b_4_12·b_6_35·b_1_32 + b_4_12·b_4_13·b_1_02·b_1_32
       + b_4_12·b_4_13·b_1_04 + b_4_12·b_4_132 + b_4_122·b_1_03·b_1_3 + b_4_122·b_4_13
       + b_4_123 + b_6_35·a_1_1·b_1_35 + b_4_132·a_1_1·b_1_33 + a_1_12·b_1_310
       + c_8_56·b_1_0·b_3_10 + c_8_56·b_1_03·b_1_3 + c_4_14·b_1_0·b_7_45
       + c_4_14·b_1_04·b_1_3·b_3_10 + c_4_14·b_1_04·b_1_34 + c_4_14·b_1_05·b_3_10
       + c_4_14·b_1_06·b_1_32 + c_4_14·b_1_08 + b_4_13·c_4_14·b_1_03·b_1_3
       + b_4_12·c_4_14·b_1_34 + b_4_12·c_4_14·b_1_0·b_1_33 + b_4_12·c_4_14·b_1_03·b_1_3
       + b_4_12·c_4_14·b_1_04 + c_4_14·a_1_1·b_7_45 + c_4_14·a_1_1·b_1_37
       + c_4_14·b_6_35·a_1_12 + b_4_13·c_4_14·a_1_12·b_1_32
       + c_4_14·a_1_12·b_1_3·a_5_12 + b_4_13·c_4_14·a_1_13·b_1_3
       + c_4_142·b_1_02·b_1_32 + c_4_142·b_1_03·b_1_3 + c_4_142·a_1_12·a_1_2·b_1_3
  58. b_5_23·b_7_45 + b_6_35·b_1_0·b_1_35 + b_6_352 + b_4_13·b_1_33·b_5_22
       + b_4_13·b_8_54 + b_4_13·b_6_35·b_1_0·b_1_3 + b_4_13·b_6_35·b_1_02
       + b_4_132·b_1_02·b_1_32 + b_4_132·b_1_04 + b_4_12·b_1_33·b_5_22
       + b_4_12·b_1_04·b_1_34 + b_4_12·b_6_35·b_1_02 + b_4_122·b_1_34
       + b_4_122·b_1_0·b_3_10 + b_4_122·b_1_0·b_1_33 + b_4_122·b_4_13
       + b_6_35·a_1_1·b_1_35 + b_4_13·b_6_35·a_1_1·b_1_3 + b_4_132·a_1_1·b_1_33
       + a_1_12·b_1_310 + b_6_35·a_1_12·b_1_34 + b_4_13·b_6_35·a_1_12
       + b_4_132·a_1_12·b_1_32 + c_8_56·b_1_02·b_1_32 + c_4_14·b_1_0·b_1_37
       + c_4_14·b_1_02·b_1_36 + c_4_14·b_1_04·b_1_3·b_3_10 + c_4_14·b_1_04·b_1_34
       + c_4_14·b_1_08 + c_4_14·b_6_35·b_1_0·b_1_3 + c_4_14·b_6_35·b_1_02
       + b_4_13·c_4_14·b_1_02·b_1_32 + b_4_13·c_4_14·b_1_03·b_1_3
       + b_4_13·c_4_14·b_1_04 + b_4_12·c_4_14·b_1_34 + b_4_12·c_4_14·b_1_0·b_3_10
       + b_4_12·c_4_14·b_1_04 + b_4_122·c_4_14 + c_8_56·a_1_1·b_3_10 + c_4_14·a_1_1·b_7_45
       + c_4_14·a_1_1·b_1_37 + b_4_13·c_4_14·a_1_1·b_1_33 + c_8_56·a_1_13·b_1_3
       + c_4_142·b_1_34 + c_4_142·b_1_0·b_1_33 + c_4_142·b_1_02·b_1_32
       + c_4_142·b_1_04 + c_4_142·a_1_12·b_1_32 + c_4_142·a_1_12·a_1_2·b_1_3
       + c_4_142·a_1_13·b_1_3
  59. b_6_35·b_1_0·b_1_35 + b_6_352 + b_4_13·b_1_05·b_1_33
       + b_4_13·b_6_35·b_1_0·b_1_3 + b_4_132·b_1_02·b_1_32 + b_4_132·b_1_03·b_1_3
       + b_4_132·b_1_04 + b_4_133 + b_4_12·b_1_0·b_7_45 + b_4_12·b_1_04·b_1_34
       + b_4_12·b_1_05·b_3_10 + b_4_12·b_1_05·b_1_33 + b_4_12·b_8_54
       + b_4_12·b_6_35·b_1_32 + b_4_12·b_4_132 + b_4_122·b_1_3·b_3_10
       + b_4_122·b_1_0·b_3_10 + b_4_122·b_1_0·b_1_33 + b_4_123
       + b_4_13·b_6_35·a_1_1·b_1_3 + b_4_132·a_1_1·b_1_33 + a_1_12·b_1_310
       + b_6_35·a_1_12·b_1_34 + c_8_56·b_1_02·b_1_32 + c_4_14·b_1_0·b_1_37
       + c_4_14·b_1_02·b_1_36 + c_4_14·b_1_04·b_1_3·b_3_10 + c_4_14·b_1_04·b_1_34
       + c_4_14·b_1_05·b_3_10 + c_4_14·b_1_05·b_1_33 + c_4_14·b_1_06·b_1_32
       + c_4_14·b_1_08 + c_4_14·b_6_35·b_1_0·b_1_3 + c_4_14·b_6_35·b_1_02
       + b_4_13·c_4_14·b_1_02·b_1_32 + b_4_13·c_4_14·b_1_03·b_1_3
       + b_4_13·c_4_14·b_1_04 + b_4_132·c_4_14 + b_4_12·c_4_14·b_1_34
       + b_4_12·c_4_14·b_1_0·b_3_10 + b_4_12·c_4_14·b_1_0·b_1_33
       + b_4_12·c_4_14·b_1_03·b_1_3 + b_4_12·c_4_14·b_1_04 + b_4_12·b_4_13·c_4_14
       + c_4_14·b_6_35·a_1_12 + b_4_13·c_4_14·a_1_13·b_1_3 + c_4_142·b_1_34
       + c_4_142·b_1_02·b_1_32
  60. b_5_23·b_7_45 + b_10_99·b_1_32 + b_8_54·b_1_34 + b_6_35·b_1_0·b_1_35
       + b_4_13·b_1_05·b_1_33 + b_4_13·b_1_07·b_1_3 + b_4_13·b_6_35·b_1_32
       + b_4_13·b_6_35·b_1_02 + b_4_132·b_1_03·b_1_3 + b_4_12·b_1_3·b_7_45
       + b_4_12·b_1_0·b_7_45 + b_4_12·b_1_0·b_1_37 + b_4_12·b_1_03·b_1_35
       + b_4_12·b_1_04·b_1_34 + b_4_12·b_1_05·b_3_10 + b_4_12·b_1_07·b_1_3
       + b_4_12·b_6_35·b_1_02 + b_4_12·b_4_13·b_1_0·b_1_33 + b_4_12·b_4_132
       + b_4_122·b_1_0·b_1_33 + b_4_122·b_1_03·b_1_3 + b_4_123 + a_5_12·b_7_45
       + a_1_1·b_1_311 + b_4_13·b_6_35·a_1_1·b_1_3 + b_4_132·a_1_12·b_1_32
       + c_8_56·b_1_34 + c_8_56·b_1_0·b_1_33 + c_4_14·b_1_33·b_5_22 + c_4_14·b_1_38
       + c_4_14·b_1_04·b_1_3·b_3_10 + c_4_14·b_1_04·b_1_34 + c_4_14·b_1_05·b_1_33
       + c_4_14·b_1_06·b_1_32 + c_4_14·b_1_07·b_1_3 + c_4_14·b_6_35·b_1_02
       + b_4_13·c_4_14·b_1_03·b_1_3 + b_4_13·c_4_14·b_1_04 + b_4_12·c_4_14·b_1_0·b_3_10
       + b_4_12·c_4_14·b_1_0·b_1_33 + b_4_12·c_4_14·b_1_03·b_1_3 + b_4_12·c_4_14·b_1_04
       + c_8_56·a_1_1·b_3_10 + c_4_14·a_1_1·b_1_37 + c_8_56·a_1_12·b_1_32
       + c_4_14·b_6_35·a_1_12 + c_4_142·b_1_34 + c_4_142·b_1_0·b_1_33
       + c_4_142·b_1_03·b_1_3 + c_4_142·b_1_04 + c_4_142·a_1_1·b_1_33
       + c_4_142·a_1_12·b_1_32 + c_4_142·a_1_13·b_1_3
  61. b_8_54·b_5_23 + b_8_54·b_5_22 + b_6_35·b_7_45 + b_6_35·b_1_32·b_5_22 + b_4_13·b_1_09
       + b_4_13·b_6_35·b_1_03 + b_4_132·b_5_22 + b_4_132·b_1_02·b_1_33
       + b_4_132·b_1_03·b_1_32 + b_4_133·b_1_0 + b_4_12·b_1_34·b_5_22
       + b_4_12·b_1_03·b_1_36 + b_4_12·b_1_04·b_1_35 + b_4_12·b_1_06·b_1_33
       + b_4_12·b_1_09 + b_4_12·b_6_35·b_3_10 + b_4_12·b_6_35·b_1_33
       + b_4_12·b_6_35·b_1_0·b_1_32 + b_4_12·b_4_13·b_5_23 + b_4_12·b_4_13·b_5_22
       + b_4_12·b_4_13·b_1_02·b_1_33 + b_4_12·b_4_13·b_1_03·b_1_32 + b_4_122·b_5_23
       + b_4_122·b_1_35 + b_4_122·b_1_02·b_3_10 + b_4_122·b_4_13·b_1_3 + b_4_123·b_1_3
       + b_4_13·b_6_35·a_1_1·b_1_32 + b_4_133·a_1_1 + c_8_56·b_1_0·b_1_3·b_3_10
       + c_8_56·b_1_04·b_1_3 + c_4_14·b_1_34·b_5_22 + c_4_14·b_1_05·b_1_34
       + c_4_14·b_1_07·b_1_32 + c_4_14·b_1_09 + b_4_13·c_4_14·b_5_23
       + b_4_13·c_4_14·b_5_22 + b_4_13·c_4_14·b_1_03·b_1_32 + b_4_13·c_4_14·b_1_04·b_1_3
       + b_4_13·c_4_14·b_1_05 + b_4_132·c_4_14·b_1_0 + b_4_12·c_8_56·b_1_0
       + b_4_12·c_4_14·b_1_0·b_1_3·b_3_10 + b_4_12·c_4_14·b_1_02·b_3_10
       + b_4_12·c_4_14·b_1_02·b_1_33 + b_4_12·b_4_13·c_4_14·b_1_0 + c_4_14·b_8_54·a_1_1
       + c_4_14·b_6_35·a_1_1·b_1_32 + c_8_56·a_1_12·b_3_10 + c_4_14·b_6_35·a_1_12·b_1_3
       + c_4_142·b_1_0·b_1_3·b_3_10 + b_4_13·c_4_142·a_1_1
  62. b_8_54·b_5_23 + b_6_35·b_7_45 + b_6_35·b_1_32·b_5_22 + b_4_13·b_1_09
       + b_4_13·b_6_35·b_1_02·b_1_3 + b_4_132·b_5_23 + b_4_132·b_5_22
       + b_4_132·b_1_02·b_1_33 + b_4_132·b_1_03·b_1_32 + b_4_132·b_1_04·b_1_3
       + b_4_133·b_1_3 + b_4_12·b_1_0·b_1_38 + b_4_12·b_1_05·b_1_34
       + b_4_12·b_1_06·b_1_33 + b_4_12·b_1_09 + b_4_12·b_8_54·b_1_3
       + b_4_12·b_6_35·b_1_33 + b_4_12·b_6_35·b_1_0·b_1_32 + b_4_12·b_4_13·b_5_22
       + b_4_12·b_4_13·b_1_03·b_1_32 + b_4_12·b_4_132·b_1_0 + b_4_122·b_5_23
       + b_4_122·b_5_22 + b_4_122·b_1_35 + b_4_122·b_1_0·b_1_34
       + b_4_122·b_1_02·b_3_10 + b_4_122·b_1_02·b_1_33 + b_4_122·b_1_03·b_1_32
       + b_4_122·b_4_13·b_1_3 + b_4_123·b_1_0 + b_4_13·b_6_35·a_1_1·b_1_32
       + b_4_13·b_6_35·a_1_12·b_1_3 + c_8_56·b_1_0·b_1_3·b_3_10 + c_8_56·b_1_02·b_3_10
       + c_8_56·b_1_02·b_1_33 + c_8_56·b_1_03·b_1_32 + c_8_56·b_1_04·b_1_3
       + c_4_14·b_1_34·b_5_22 + c_4_14·b_1_03·b_1_36 + c_4_14·b_1_04·b_1_35
       + c_4_14·b_1_06·b_1_33 + c_4_14·b_1_07·b_1_32 + c_4_14·b_1_08·b_1_3
       + c_4_14·b_6_35·b_3_10 + c_4_14·b_6_35·b_1_0·b_1_32 + c_4_14·b_6_35·b_1_02·b_1_3
       + b_4_13·c_4_14·b_5_23 + b_4_132·c_4_14·b_1_3 + b_4_132·c_4_14·b_1_0
       + b_4_12·c_4_14·b_5_23 + b_4_12·c_4_14·b_5_22 + b_4_12·c_4_14·b_1_35
       + b_4_12·c_4_14·b_1_02·b_1_33 + b_4_12·c_4_14·b_1_04·b_1_3
       + c_4_14·a_1_1·b_1_38 + c_4_14·b_6_35·a_1_1·b_1_32 + b_4_132·c_4_14·a_1_1
       + b_4_12·c_8_56·a_1_1 + c_8_56·a_1_12·b_1_33 + c_4_14·a_1_12·b_1_37
       + c_4_142·b_1_35 + c_4_142·b_1_0·b_1_3·b_3_10 + c_4_142·b_1_02·b_3_10
       + c_4_142·b_1_03·b_1_32 + c_4_142·b_1_05 + c_4_142·a_1_1·b_1_34
       + c_4_142·a_1_12·b_1_33
  63. b_8_54·b_5_23 + b_6_35·b_1_32·b_5_22 + b_4_13·b_1_09 + b_4_13·b_6_35·b_1_03
       + b_4_132·b_1_02·b_1_33 + b_4_132·b_1_03·b_1_32 + b_4_132·b_1_04·b_1_3
       + b_4_133·b_1_3 + b_4_133·b_1_0 + b_4_12·b_1_0·b_1_38 + b_4_12·b_1_02·b_1_37
       + b_4_12·b_1_03·b_1_36 + b_4_12·b_1_06·b_1_33 + b_4_12·b_1_09
       + b_4_12·b_8_54·b_1_0 + b_4_12·b_6_35·b_3_10 + b_4_12·b_6_35·b_1_03
       + b_4_12·b_4_13·b_5_22 + b_4_12·b_4_13·b_1_03·b_1_32 + b_4_12·b_4_13·b_1_05
       + b_4_12·b_4_132·b_1_0 + b_4_122·b_5_23 + b_4_122·b_5_22 + b_4_122·b_1_35
       + b_4_122·b_1_0·b_1_34 + b_4_122·b_1_03·b_1_32 + b_4_122·b_1_04·b_1_3
       + b_4_122·b_1_05 + b_4_122·b_4_13·b_1_3 + b_4_123·b_1_0 + b_6_35·a_1_1·b_1_36
       + b_4_13·b_6_35·a_1_12·b_1_3 + c_8_56·b_1_02·b_1_33 + c_8_56·b_1_04·b_1_3
       + c_4_14·b_1_34·b_5_22 + c_4_14·b_1_03·b_1_36 + c_4_14·b_1_07·b_1_32
       + c_4_14·b_1_08·b_1_3 + c_4_14·b_1_09 + c_4_14·b_6_35·b_1_0·b_1_32
       + c_4_14·b_6_35·b_1_03 + b_4_13·c_4_14·b_5_23 + b_4_13·c_4_14·b_1_04·b_1_3
       + b_4_13·c_4_14·b_1_05 + b_4_132·c_4_14·b_1_3 + b_4_132·c_4_14·b_1_0
       + b_4_12·c_4_14·b_5_23 + b_4_12·c_4_14·b_1_0·b_1_3·b_3_10
       + b_4_12·c_4_14·b_1_0·b_1_34 + b_4_12·c_4_14·b_1_02·b_3_10
       + b_4_12·c_4_14·b_1_03·b_1_32 + b_4_12·c_4_14·b_1_04·b_1_3
       + b_4_12·c_4_14·b_1_05 + b_4_12·b_4_13·c_4_14·b_1_3 + b_4_12·b_4_13·c_4_14·b_1_0
       + b_4_122·c_4_14·b_1_0 + c_4_14·a_1_1·b_1_38 + c_4_14·b_8_54·a_1_1
       + b_4_132·c_4_14·a_1_1 + b_4_12·c_8_56·a_1_1 + c_8_56·a_1_12·b_3_10
       + c_8_56·a_1_12·b_1_33 + b_4_13·c_4_14·a_1_12·b_1_33 + c_4_142·b_1_35
       + c_4_142·b_1_0·b_1_34 + c_4_142·b_1_02·b_1_33 + c_4_142·b_1_03·b_1_32
       + c_4_142·b_1_04·b_1_3 + c_4_142·b_1_05 + c_4_142·a_1_1·b_1_34
       + b_4_13·c_4_142·a_1_1 + b_4_12·c_4_142·a_1_1 + c_4_142·a_1_12·b_1_33
  64. b_8_54·a_5_12 + b_4_13·b_6_35·a_1_1·b_1_32 + b_4_133·a_1_1
       + b_4_13·b_6_35·a_1_12·b_1_3 + b_4_132·a_1_12·b_1_33 + c_4_14·a_1_1·b_1_38
       + c_4_14·b_8_54·a_1_1 + c_4_14·a_1_12·b_7_45 + c_4_142·a_1_12·b_1_33
  65. b_10_99·b_3_10 + b_8_54·b_5_23 + b_6_35·b_7_45 + b_6_35·b_1_32·b_5_22 + b_6_352·b_1_0
       + b_4_13·b_6_35·b_1_0·b_1_32 + b_4_13·b_6_35·b_1_02·b_1_3 + b_4_132·b_5_23
       + b_4_132·b_5_22 + b_4_132·b_1_02·b_1_33 + b_4_132·b_1_05 + b_4_133·b_1_3
       + b_4_133·b_1_0 + b_4_12·b_1_0·b_1_38 + b_4_12·b_1_02·b_1_37
       + b_4_12·b_1_04·b_1_35 + b_4_12·b_6_35·b_3_10 + b_4_12·b_6_35·b_1_0·b_1_32
       + b_4_12·b_6_35·b_1_02·b_1_3 + b_4_12·b_4_13·b_5_22 + b_4_12·b_4_13·b_1_02·b_1_33
       + b_4_12·b_4_13·b_1_03·b_1_32 + b_4_12·b_4_13·b_1_04·b_1_3
       + b_4_12·b_4_13·b_1_05 + b_4_12·b_4_132·b_1_3 + b_4_122·b_1_35
       + b_4_122·b_1_0·b_1_3·b_3_10 + b_4_122·b_1_02·b_3_10 + b_4_122·b_1_03·b_1_32
       + b_4_13·b_6_35·a_1_1·b_1_32 + b_6_35·a_1_12·b_1_35 + b_4_132·a_1_12·b_1_33
       + c_8_56·b_1_0·b_1_3·b_3_10 + c_8_56·b_1_02·b_3_10 + c_8_56·b_1_02·b_1_33
       + c_4_14·b_1_34·b_5_22 + c_4_14·b_1_03·b_1_36 + c_4_14·b_1_05·b_1_34
       + c_4_14·b_1_08·b_1_3 + c_4_14·b_6_35·b_1_0·b_1_32 + c_4_14·b_6_35·b_1_02·b_1_3
       + b_4_13·c_8_56·b_1_0 + b_4_13·c_4_14·b_5_23 + b_4_13·c_4_14·b_1_05
       + b_4_132·c_4_14·b_1_3 + b_4_12·c_8_56·b_1_0 + b_4_12·c_4_14·b_5_23
       + b_4_12·c_4_14·b_1_35 + b_4_12·c_4_14·b_1_0·b_1_3·b_3_10
       + b_4_12·c_4_14·b_1_0·b_1_34 + b_4_12·c_4_14·b_1_02·b_1_33
       + b_4_12·b_4_13·c_4_14·b_1_0 + b_4_122·c_4_14·b_1_3 + b_4_122·c_4_14·b_1_0
       + c_4_14·a_1_1·b_1_38 + c_4_14·b_6_35·a_1_1·b_1_32 + b_4_132·c_4_14·a_1_1
       + b_4_12·c_8_56·a_1_1 + c_4_14·a_1_12·b_7_45 + c_4_14·a_1_12·b_1_37
       + b_4_13·c_4_14·a_1_12·b_1_33 + c_4_142·b_1_35 + c_4_142·b_1_0·b_1_3·b_3_10
       + c_4_142·b_1_03·b_1_32 + c_4_142·b_1_04·b_1_3 + c_4_142·b_1_05
       + b_4_13·c_4_142·b_1_0 + b_4_12·c_4_142·b_1_0 + c_4_142·a_1_1·b_1_34
       + b_4_12·c_4_142·a_1_1 + c_4_142·a_1_12·b_3_10 + c_4_142·a_1_12·b_1_33
  66. b_7_452 + b_4_132·b_1_06 + b_4_133·b_1_02 + b_4_12·b_1_35·b_5_22
       + b_4_12·b_8_54·b_1_32 + b_4_12·b_6_35·b_1_0·b_3_10 + b_4_12·b_4_13·b_1_0·b_5_22
       + b_4_12·b_4_13·b_1_03·b_1_33 + b_4_12·b_4_132·b_1_32
       + b_4_12·b_4_132·b_1_0·b_1_3 + b_4_12·b_4_132·b_1_02 + b_4_122·b_1_3·b_5_23
       + b_4_122·b_1_3·b_5_22 + b_4_122·b_1_36 + b_4_122·b_1_02·b_1_3·b_3_10
       + b_4_122·b_1_02·b_1_34 + b_4_122·b_1_03·b_3_10 + b_4_122·b_1_03·b_1_33
       + b_4_122·b_1_04·b_1_32 + b_4_122·b_6_35 + b_4_122·b_4_13·b_1_0·b_1_3
       + b_4_122·b_4_13·b_1_02 + b_4_123·b_1_0·b_1_3 + b_4_123·b_1_02
       + a_1_12·b_1_312 + b_4_133·a_1_12 + c_8_56·b_1_02·b_1_3·b_3_10
       + c_4_14·b_6_35·b_1_04 + b_4_13·c_8_56·b_1_02 + b_4_13·c_4_14·b_1_04·b_1_32
       + b_4_13·c_4_14·b_1_06 + b_4_12·c_8_56·b_1_02 + b_4_12·c_4_14·b_1_0·b_1_35
       + b_4_12·c_4_14·b_1_02·b_1_3·b_3_10 + b_4_12·c_4_14·b_1_03·b_3_10
       + b_4_12·c_4_14·b_1_03·b_1_33 + b_4_12·c_4_14·b_1_04·b_1_32
       + b_4_12·b_4_13·c_4_14·b_1_32 + b_4_12·b_4_13·c_4_14·b_1_0·b_1_3
       + b_4_122·c_4_14·b_1_32 + b_4_122·c_4_14·b_1_0·b_1_3 + c_4_14·a_1_12·b_1_38
       + c_4_14·c_8_56·b_1_02 + c_4_142·b_1_04·b_1_32 + c_4_142·b_1_06
       + b_4_13·c_4_142·b_1_02 + b_4_12·c_4_142·b_1_02 + c_4_14·c_8_56·a_1_22
       + c_4_14·c_8_56·a_1_12
  67. b_7_452 + b_6_35·b_1_33·b_5_22 + b_6_35·b_8_54 + b_4_13·b_8_54·b_1_32
       + b_4_13·b_6_35·b_1_03·b_1_3 + b_4_13·b_6_35·b_1_04 + b_4_132·b_1_3·b_5_22
       + b_4_132·b_1_0·b_5_22 + b_4_132·b_1_03·b_1_33 + b_4_132·b_1_04·b_1_32
       + b_4_132·b_1_06 + b_4_132·b_6_35 + b_4_133·b_1_32 + b_4_133·b_1_0·b_1_3
       + b_4_12·b_1_35·b_5_22 + b_4_12·b_1_03·b_1_37 + b_4_12·b_1_04·b_1_36
       + b_4_12·b_1_06·b_1_34 + b_4_12·b_6_35·b_1_0·b_3_10 + b_4_12·b_4_13·b_1_3·b_5_22
       + b_4_12·b_4_13·b_6_35 + b_4_12·b_4_132·b_1_32 + b_4_12·b_4_132·b_1_02
       + b_4_122·b_1_3·b_5_23 + b_4_122·b_1_0·b_1_35 + b_4_122·b_1_02·b_1_3·b_3_10
       + b_4_122·b_1_02·b_1_34 + b_4_122·b_1_03·b_3_10 + b_4_122·b_1_03·b_1_33
       + b_4_122·b_1_04·b_1_32 + b_4_122·b_1_05·b_1_3 + b_4_122·b_4_13·b_1_32
       + b_4_122·b_4_13·b_1_0·b_1_3 + b_6_35·a_1_1·b_1_37 + b_4_132·a_1_1·b_5_23
       + a_1_12·b_1_312 + b_4_13·b_6_35·a_1_12·b_1_32 + c_8_56·b_1_04·b_1_32
       + c_4_14·b_1_35·b_5_22 + c_4_14·b_1_05·b_1_35 + c_4_14·b_1_07·b_1_33
       + c_4_14·b_1_010 + b_4_13·c_8_56·b_1_02 + b_4_13·c_4_14·b_1_04·b_1_32
       + b_4_13·c_4_14·b_1_05·b_1_3 + b_4_13·c_4_14·b_6_35 + b_4_132·c_4_14·b_1_32
       + b_4_132·c_4_14·b_1_0·b_1_3 + b_4_132·c_4_14·b_1_02 + b_4_12·c_8_56·b_1_0·b_1_3
       + b_4_12·c_4_14·b_1_3·b_5_22 + b_4_12·c_4_14·b_1_36 + b_4_12·c_4_14·b_1_0·b_1_35
       + b_4_12·c_4_14·b_1_02·b_1_3·b_3_10 + b_4_12·c_4_14·b_1_03·b_1_33
       + b_4_12·c_4_14·b_1_06 + b_4_122·c_4_14·b_1_02 + c_4_14·a_1_1·b_1_39
       + c_4_14·b_6_35·a_1_1·b_1_33 + b_4_13·c_4_14·a_1_1·b_5_23
       + b_4_132·c_4_14·a_1_1·b_1_3 + c_4_14·a_1_12·b_1_38 + c_4_14·b_8_54·a_1_12
       + c_4_14·b_6_35·a_1_12·b_1_32 + b_4_12·c_8_56·a_1_12 + c_4_14·c_8_56·b_1_02
       + c_4_142·b_1_03·b_1_33 + c_4_142·b_1_04·b_1_32 + c_4_14·c_8_56·a_1_22
       + c_4_14·c_8_56·a_1_12 + c_4_142·a_1_12·b_1_34 + b_4_12·c_4_142·a_1_12
  68. b_4_13·b_10_99 + b_4_13·b_6_35·b_1_04 + b_4_132·b_1_3·b_5_22
       + b_4_132·b_1_05·b_1_3 + b_4_132·b_1_06 + b_4_132·b_6_35 + b_4_133·b_1_32
       + b_4_133·b_1_0·b_1_3 + b_4_12·b_1_35·b_5_22 + b_4_12·b_1_03·b_1_37
       + b_4_12·b_1_04·b_1_36 + b_4_12·b_1_06·b_1_34 + b_4_12·b_6_35·b_1_0·b_3_10
       + b_4_12·b_6_35·b_1_0·b_1_33 + b_4_12·b_6_35·b_1_03·b_1_3
       + b_4_12·b_4_13·b_1_0·b_5_22 + b_4_12·b_4_13·b_1_05·b_1_3 + b_4_12·b_4_13·b_6_35
       + b_4_12·b_4_132·b_1_0·b_1_3 + b_4_12·b_4_132·b_1_02 + b_4_122·b_1_3·b_5_22
       + b_4_122·b_1_0·b_1_35 + b_4_122·b_1_02·b_1_3·b_3_10 + b_4_122·b_1_02·b_1_34
       + b_4_122·b_1_03·b_3_10 + b_4_122·b_1_03·b_1_33 + b_4_122·b_1_04·b_1_32
       + b_4_122·b_1_06 + b_4_122·b_4_13·b_1_02 + b_4_123·b_1_32
       + b_4_123·b_1_0·b_1_3 + b_4_133·a_1_1·b_1_3 + b_4_13·b_6_35·a_1_12·b_1_32
       + c_8_56·b_1_03·b_3_10 + c_8_56·b_1_04·b_1_32 + c_4_14·b_1_05·b_1_35
       + c_4_14·b_1_07·b_1_33 + c_4_14·b_1_010 + c_4_14·b_8_54·b_1_32
       + c_4_14·b_6_35·b_1_03·b_1_3 + b_4_13·c_8_56·b_1_32 + b_4_13·c_8_56·b_1_0·b_1_3
       + b_4_13·c_4_14·b_1_3·b_5_22 + b_4_13·c_4_14·b_1_0·b_5_22
       + b_4_13·c_4_14·b_1_04·b_1_32 + b_4_13·c_4_14·b_1_05·b_1_3
       + b_4_13·c_4_14·b_1_06 + b_4_132·c_4_14·b_1_32 + b_4_12·c_4_14·b_1_0·b_5_22
       + b_4_12·c_4_14·b_1_0·b_1_35 + b_4_12·c_4_14·b_1_02·b_1_3·b_3_10
       + b_4_12·c_4_14·b_1_02·b_1_34 + b_4_12·c_4_14·b_6_35
       + b_4_12·b_4_13·c_4_14·b_1_32 + b_4_122·c_4_14·b_1_02 + c_4_14·a_1_1·b_1_39
       + b_4_13·c_4_14·a_1_1·b_5_23 + c_4_14·b_8_54·a_1_12
       + c_4_14·b_6_35·a_1_12·b_1_32 + b_4_13·c_8_56·a_1_12 + b_4_132·c_4_14·a_1_12
       + b_4_12·c_8_56·a_1_12 + c_4_142·b_1_36 + c_4_142·b_1_02·b_1_34
       + c_4_142·b_1_03·b_3_10 + c_4_142·b_1_03·b_1_33 + c_4_142·b_1_04·b_1_32
       + b_4_13·c_4_142·b_1_02 + b_4_13·c_4_142·a_1_1·b_1_3
  69. b_4_12·b_1_35·b_5_22 + b_4_12·b_1_03·b_1_37 + b_4_12·b_1_04·b_1_36
       + b_4_12·b_1_06·b_1_34 + b_4_12·b_10_99 + b_4_12·b_6_35·b_1_0·b_3_10
       + b_4_12·b_6_35·b_1_0·b_1_33 + b_4_12·b_6_35·b_1_03·b_1_3 + b_4_12·b_6_35·b_1_04
       + b_4_12·b_4_13·b_1_04·b_1_32 + b_4_12·b_4_13·b_1_05·b_1_3 + b_4_12·b_4_13·b_6_35
       + b_4_12·b_4_132·b_1_32 + b_4_12·b_4_132·b_1_02 + b_4_122·b_1_0·b_5_22
       + b_4_122·b_1_0·b_1_35 + b_4_122·b_1_02·b_1_3·b_3_10 + b_4_122·b_1_02·b_1_34
       + b_4_122·b_1_03·b_3_10 + b_4_122·b_1_03·b_1_33 + b_4_122·b_1_05·b_1_3
       + b_4_122·b_6_35 + b_4_122·b_4_13·b_1_32 + b_4_122·b_4_13·b_1_0·b_1_3
       + b_4_122·b_4_13·b_1_02 + b_4_13·b_6_35·a_1_12·b_1_32 + c_8_56·b_1_03·b_3_10
       + c_8_56·b_1_04·b_1_32 + c_4_14·b_1_05·b_1_35 + c_4_14·b_1_07·b_1_33
       + c_4_14·b_1_010 + c_4_14·b_6_35·b_1_0·b_3_10 + b_4_13·c_4_14·b_1_0·b_5_22
       + b_4_13·c_4_14·b_1_05·b_1_3 + b_4_12·c_8_56·b_1_32 + b_4_12·c_8_56·b_1_0·b_1_3
       + b_4_12·c_4_14·b_1_3·b_5_22 + b_4_12·c_4_14·b_1_36 + b_4_12·c_4_14·b_1_0·b_1_35
       + b_4_12·c_4_14·b_1_03·b_3_10 + b_4_12·c_4_14·b_1_05·b_1_3 + b_4_12·c_4_14·b_1_06
       + b_4_122·c_4_14·b_1_02 + b_4_13·c_4_14·a_1_1·b_5_23 + b_4_132·c_4_14·a_1_1·b_1_3
       + b_4_12·c_8_56·a_1_12 + c_4_142·b_1_02·b_1_3·b_3_10 + c_4_142·b_1_02·b_1_34
       + c_4_142·b_1_03·b_3_10 + c_4_142·b_1_04·b_1_32 + c_4_142·b_1_06
       + b_4_13·c_4_142·b_1_02 + b_4_12·c_4_142·b_1_32 + b_4_12·c_4_142·b_1_0·b_1_3
       + b_4_12·c_4_142·b_1_02
  70. b_10_99·b_5_23 + b_6_35·b_8_54·b_1_3 + b_6_352·b_1_03 + b_4_13·b_6_35·b_1_05
       + b_4_132·b_1_32·b_5_22 + b_4_132·b_1_04·b_1_33 + b_4_132·b_1_07
       + b_4_132·b_6_35·b_1_3 + b_4_132·b_6_35·b_1_0 + b_4_133·b_1_33
       + b_4_133·b_1_02·b_1_3 + b_4_12·b_1_0·b_1_310 + b_4_12·b_1_02·b_1_39
       + b_4_12·b_1_05·b_1_36 + b_4_12·b_1_07·b_1_34 + b_4_12·b_6_35·b_1_35
       + b_4_12·b_4_13·b_1_32·b_5_22 + b_4_12·b_4_13·b_1_05·b_1_32
       + b_4_12·b_4_13·b_1_06·b_1_3 + b_4_12·b_4_132·b_1_33
       + b_4_12·b_4_132·b_1_0·b_1_32 + b_4_12·b_4_132·b_1_02·b_1_3
       + b_4_12·b_4_132·b_1_03 + b_4_122·b_1_32·b_5_22 + b_4_122·b_1_0·b_1_36
       + b_4_122·b_1_02·b_5_22 + b_4_122·b_1_02·b_1_35 + b_4_122·b_1_03·b_1_34
       + b_4_122·b_1_04·b_3_10 + b_4_122·b_1_05·b_1_32 + b_4_122·b_1_06·b_1_3
       + b_4_122·b_1_07 + b_4_122·b_4_13·b_1_0·b_1_32 + b_4_123·b_3_10
       + b_4_123·b_1_03 + b_6_35·a_1_1·b_1_38 + b_4_133·a_1_1·b_1_32
       + b_6_35·a_1_12·b_1_37 + b_4_132·a_1_12·b_5_23 + c_8_56·b_1_32·b_5_23
       + c_8_56·b_1_02·b_1_35 + c_8_56·b_1_04·b_3_10 + c_8_56·b_1_05·b_1_32
       + c_4_14·b_1_03·b_1_38 + c_4_14·b_1_05·b_1_36 + c_4_14·b_1_06·b_1_35
       + c_4_14·b_1_011 + c_4_14·b_6_35·b_5_22 + c_4_14·b_6_35·b_1_35
       + c_4_14·b_6_35·b_1_0·b_1_34 + c_4_14·b_6_35·b_1_04·b_1_3 + c_4_14·b_6_35·b_1_05
       + b_4_13·c_8_56·b_1_02·b_1_3 + b_4_13·c_4_14·b_1_02·b_5_22
       + b_4_13·c_4_14·b_1_04·b_1_33 + b_4_13·c_4_14·b_1_07
       + b_4_13·c_4_14·b_6_35·b_1_3 + b_4_132·c_4_14·b_1_33
       + b_4_132·c_4_14·b_1_0·b_1_32 + b_4_132·c_4_14·b_1_02·b_1_3
       + b_4_132·c_4_14·b_1_03 + b_4_12·c_8_56·b_1_33 + b_4_12·c_8_56·b_1_02·b_1_3
       + b_4_12·c_4_14·b_7_45 + b_4_12·c_4_14·b_1_32·b_5_23 + b_4_12·c_4_14·b_1_32·b_5_22
       + b_4_12·c_4_14·b_1_0·b_1_36 + b_4_12·c_4_14·b_1_02·b_5_22
       + b_4_12·c_4_14·b_1_03·b_1_3·b_3_10 + b_4_12·c_4_14·b_1_03·b_1_34
       + b_4_12·c_4_14·b_1_06·b_1_3 + b_4_12·c_4_14·b_1_07
       + b_4_12·b_4_13·c_4_14·b_1_33 + b_4_122·c_4_14·b_3_10
       + b_4_122·c_4_14·b_1_02·b_1_3 + b_4_122·c_4_14·b_1_03 + b_6_35·c_8_56·a_1_1
       + b_4_13·c_8_56·a_1_1·b_1_32 + b_4_13·c_4_14·b_6_35·a_1_1 + c_8_56·a_1_12·b_5_23
       + c_8_56·a_1_12·b_1_35 + c_4_14·a_1_12·b_1_39 + b_4_13·c_8_56·a_1_12·b_1_3
       + b_4_13·c_4_14·a_1_12·b_5_23 + c_8_56·a_1_12·a_5_12 + c_4_14·c_8_56·b_1_02·b_1_3
       + c_4_14·c_8_56·b_1_03 + c_4_142·b_1_32·b_5_23 + c_4_142·b_1_0·b_1_36
       + c_4_142·b_1_02·b_1_35 + c_4_142·b_1_03·b_1_3·b_3_10
       + c_4_142·b_1_04·b_1_33 + c_4_142·b_1_05·b_1_32 + c_4_142·b_1_07
       + b_4_13·c_4_142·b_1_02·b_1_3 + b_4_13·c_4_142·b_1_03 + b_4_12·c_4_142·b_3_10
       + b_4_12·c_4_142·b_1_33 + c_4_142·a_1_1·b_1_36 + b_4_13·c_4_142·a_1_1·b_1_32
       + c_4_14·c_8_56·a_1_22·b_1_3 + c_4_14·c_8_56·a_1_1·a_1_2·b_1_3
       + c_4_14·c_8_56·a_1_12·b_1_3 + c_4_142·a_1_2·b_1_3·a_5_12
       + c_4_142·a_1_1·b_1_3·a_5_12 + c_4_142·a_1_12·b_5_23 + c_4_142·a_1_12·b_1_35
       + b_4_13·c_4_142·a_1_12·b_1_3 + c_4_14·c_8_56·a_1_12·a_1_2
       + c_4_14·c_8_56·a_1_13 + c_4_142·a_1_12·a_5_12 + c_4_143·b_1_02·b_1_3
       + c_4_143·b_1_03 + c_4_143·a_1_22·b_1_3 + c_4_143·a_1_12·a_1_2
       + c_4_143·a_1_13
  71. b_10_99·b_5_22 + b_4_13·b_6_35·b_5_22 + b_4_132·b_1_32·b_5_22
       + b_4_132·b_1_05·b_1_32 + b_4_132·b_1_06·b_1_3 + b_4_132·b_6_35·b_1_0
       + b_4_133·b_1_33 + b_4_133·b_1_03 + b_4_12·b_1_0·b_1_310
       + b_4_12·b_1_02·b_1_39 + b_4_12·b_1_05·b_1_36 + b_4_12·b_1_07·b_1_34
       + b_4_12·b_8_54·b_1_33 + b_4_12·b_6_35·b_1_0·b_1_34 + b_4_12·b_6_35·b_1_04·b_1_3
       + b_4_12·b_4_13·b_1_32·b_5_22 + b_4_12·b_4_13·b_1_07 + b_4_12·b_4_13·b_6_35·b_1_3
       + b_4_12·b_4_132·b_1_0·b_1_32 + b_4_12·b_4_132·b_1_02·b_1_3
       + b_4_12·b_4_132·b_1_03 + b_4_122·b_7_45 + b_4_122·b_1_32·b_5_23
       + b_4_122·b_1_37 + b_4_122·b_1_0·b_1_36 + b_4_122·b_1_03·b_1_34
       + b_4_122·b_1_04·b_1_33 + b_4_122·b_1_05·b_1_32 + b_4_122·b_1_06·b_1_3
       + b_4_122·b_1_07 + b_4_122·b_4_13·b_1_33 + b_4_122·b_4_13·b_1_0·b_1_32
       + b_4_123·b_1_33 + b_4_123·b_1_03 + b_4_133·a_1_1·b_1_32 + a_1_12·b_1_313
       + b_4_132·a_1_12·b_5_23 + c_8_56·b_1_32·b_5_22 + c_8_56·b_1_02·b_5_22
       + c_8_56·b_1_02·b_1_35 + c_8_56·b_1_03·b_1_3·b_3_10 + c_8_56·b_1_05·b_1_32
       + b_6_35·c_8_56·b_1_0 + c_4_14·b_1_03·b_1_38 + c_4_14·b_1_05·b_1_36
       + c_4_14·b_1_06·b_1_35 + c_4_14·b_1_011 + c_4_14·b_8_54·b_1_33
       + c_4_14·b_6_35·b_5_22 + c_4_14·b_6_35·b_1_0·b_1_34 + b_4_13·c_8_56·b_1_0·b_1_32
       + b_4_13·c_8_56·b_1_02·b_1_3 + b_4_13·c_4_14·b_1_05·b_1_32
       + b_4_13·c_4_14·b_6_35·b_1_3 + b_4_132·c_4_14·b_1_0·b_1_32
       + b_4_132·c_4_14·b_1_02·b_1_3 + b_4_132·c_4_14·b_1_03 + b_4_12·c_8_56·b_1_33
       + b_4_12·c_8_56·b_1_0·b_1_32 + b_4_12·c_4_14·b_1_37
       + b_4_12·c_4_14·b_1_03·b_1_3·b_3_10 + b_4_12·c_4_14·b_1_03·b_1_34
       + b_4_12·c_4_14·b_1_04·b_1_33 + b_4_12·c_4_14·b_1_06·b_1_3
       + b_4_12·c_4_14·b_1_07 + b_4_12·c_4_14·b_6_35·b_1_3 + b_4_12·b_4_13·c_4_14·b_1_03
       + b_4_122·c_4_14·b_3_10 + b_4_122·c_4_14·b_1_03 + b_6_35·c_8_56·a_1_1
       + c_4_14·a_1_1·b_1_310 + c_4_14·b_6_35·a_1_1·b_1_34
       + b_4_13·c_8_56·a_1_1·b_1_32 + b_4_13·c_4_14·b_6_35·a_1_1
       + b_4_132·c_4_14·a_1_1·b_1_32 + b_4_13·c_4_14·a_1_12·b_5_23
       + c_8_56·a_1_12·a_5_12 + c_4_142·b_1_32·b_5_22 + c_4_142·b_1_37
       + c_4_142·b_1_02·b_1_35 + c_4_142·b_1_03·b_1_3·b_3_10
       + c_4_142·b_1_03·b_1_34 + c_4_142·b_1_04·b_1_33 + c_4_142·b_1_06·b_1_3
       + c_4_142·b_6_35·b_1_0 + b_4_13·c_4_142·b_1_33 + b_4_13·c_4_142·b_1_02·b_1_3
       + b_4_12·c_4_142·b_1_33 + b_4_12·c_4_142·b_1_02·b_1_3 + c_4_142·a_1_1·b_1_36
       + c_4_142·b_6_35·a_1_1 + c_4_14·c_8_56·a_1_1·a_1_2·b_1_3
       + c_4_142·a_1_1·b_1_3·a_5_12 + c_4_142·a_1_12·b_5_23 + c_4_14·c_8_56·a_1_12·a_1_2
       + b_4_13·c_4_142·a_1_13 + c_4_143·a_1_22·b_1_3 + c_4_143·a_1_1·a_1_2·b_1_3
  72. b_8_54·b_7_45 + b_4_13·b_6_35·b_5_22 + b_4_132·b_1_32·b_5_22
       + b_4_132·b_1_04·b_1_33 + b_4_132·b_1_05·b_1_32 + b_4_132·b_1_07
       + b_4_132·b_6_35·b_1_3 + b_4_133·b_1_33 + b_4_133·b_1_02·b_1_3
       + b_4_12·b_1_02·b_1_39 + b_4_12·b_1_06·b_1_35 + b_4_12·b_1_07·b_1_34
       + b_4_12·b_10_99·b_1_3 + b_4_12·b_6_35·b_5_22 + b_4_12·b_6_35·b_1_04·b_1_3
       + b_4_12·b_6_35·b_1_05 + b_4_12·b_4_13·b_1_32·b_5_22
       + b_4_12·b_4_13·b_1_05·b_1_32 + b_4_12·b_4_13·b_6_35·b_1_0
       + b_4_12·b_4_132·b_1_33 + b_4_122·b_1_37 + b_4_122·b_1_0·b_1_36
       + b_4_122·b_1_02·b_5_22 + b_4_122·b_1_02·b_1_35 + b_4_122·b_1_06·b_1_3
       + b_4_122·b_1_07 + b_4_122·b_6_35·b_1_0 + b_4_122·b_4_13·b_1_0·b_1_32
       + b_4_123·b_3_10 + b_4_123·b_1_33 + b_4_123·b_1_0·b_1_32 + b_4_132·b_6_35·a_1_1
       + b_4_133·a_1_1·b_1_32 + b_4_132·a_1_12·b_5_23 + c_8_56·b_1_03·b_1_34
       + c_8_56·b_1_04·b_3_10 + c_8_56·b_1_04·b_1_33 + c_8_56·b_1_05·b_1_32
       + c_4_14·b_1_04·b_1_37 + c_4_14·b_1_05·b_1_36 + c_4_14·b_1_07·b_1_34
       + c_4_14·b_1_08·b_1_33 + c_4_14·b_1_09·b_1_32 + c_4_14·b_1_010·b_1_3
       + c_4_14·b_1_011 + c_4_14·b_6_35·b_1_04·b_1_3 + b_4_13·c_8_56·b_1_03
       + b_4_13·c_4_14·b_1_02·b_5_22 + b_4_13·c_4_14·b_1_04·b_1_33
       + b_4_13·c_4_14·b_1_05·b_1_32 + b_4_132·c_4_14·b_1_02·b_1_3
       + b_4_12·c_8_56·b_3_10 + b_4_12·c_8_56·b_1_33 + b_4_12·c_8_56·b_1_0·b_1_32
       + b_4_12·c_8_56·b_1_02·b_1_3 + b_4_12·c_8_56·b_1_03 + b_4_12·c_4_14·b_7_45
       + b_4_12·c_4_14·b_1_37 + b_4_12·c_4_14·b_1_02·b_5_22
       + b_4_12·c_4_14·b_1_02·b_1_35 + b_4_12·c_4_14·b_1_03·b_1_3·b_3_10
       + b_4_12·c_4_14·b_1_05·b_1_32 + b_4_12·b_4_13·c_4_14·b_1_33
       + b_4_12·b_4_13·c_4_14·b_1_02·b_1_3 + b_4_122·c_4_14·b_3_10
       + b_4_122·c_4_14·b_1_33 + b_4_122·c_4_14·b_1_0·b_1_32
       + b_4_122·c_4_14·b_1_03 + c_4_14·a_1_1·b_1_310 + b_4_13·c_4_14·b_6_35·a_1_1
       + b_4_13·c_4_14·a_1_12·b_5_23 + b_4_132·c_4_14·a_1_12·b_1_3
       + b_4_13·c_8_56·a_1_13 + c_4_14·c_8_56·b_1_03 + c_4_142·b_1_32·b_5_23
       + c_4_142·b_1_32·b_5_22 + c_4_142·b_1_0·b_1_36 + c_4_142·b_1_02·b_1_35
       + c_4_142·b_1_03·b_1_3·b_3_10 + c_4_142·b_1_04·b_3_10 + c_4_142·b_1_06·b_1_3
       + b_4_13·c_4_142·b_1_02·b_1_3 + b_4_12·c_4_142·b_1_33
       + b_4_12·c_4_142·b_1_0·b_1_32 + b_4_12·c_4_142·b_1_02·b_1_3
       + c_4_142·a_1_12·b_1_35 + b_4_13·c_4_142·a_1_13 + c_4_143·b_1_0·b_1_32
       + c_4_143·a_1_1·b_1_32 + c_4_143·a_1_12·a_1_2
  73. b_10_99·a_5_12 + b_4_132·b_6_35·a_1_1 + a_1_12·b_1_313 + c_8_56·a_1_1·b_1_36
       + b_4_13·c_4_14·b_6_35·a_1_1 + b_4_132·c_4_14·a_1_1·b_1_32 + c_8_56·a_1_12·b_5_23
       + b_4_132·c_4_14·a_1_12·b_1_3 + c_8_56·a_1_12·a_5_12 + b_4_13·c_8_56·a_1_13
       + c_4_14·c_8_56·a_1_1·b_1_32 + c_4_142·b_6_35·a_1_1
       + b_4_13·c_4_142·a_1_1·b_1_32 + c_4_14·c_8_56·a_1_22·b_1_3
       + b_4_13·c_4_142·a_1_12·b_1_3 + c_4_14·c_8_56·a_1_13 + c_4_142·a_1_12·a_5_12
       + c_4_143·a_1_1·b_1_32 + c_4_143·a_1_1·a_1_2·b_1_3 + c_4_143·a_1_12·a_1_2
       + c_4_143·a_1_13
  74. b_8_542 + b_4_132·b_1_07·b_1_3 + b_4_133·b_1_03·b_1_3 + b_4_133·b_1_04
       + b_4_12·b_1_0·b_1_311 + b_4_12·b_1_02·b_1_310 + b_4_12·b_1_06·b_1_36
       + b_4_12·b_1_07·b_1_35 + b_4_12·b_1_08·b_1_34 + b_4_12·b_6_35·b_1_3·b_5_22
       + b_4_12·b_6_35·b_1_06 + b_4_12·b_6_352 + b_4_12·b_4_13·b_1_33·b_5_22
       + b_4_12·b_4_13·b_1_06·b_1_32 + b_4_12·b_4_13·b_6_35·b_1_0·b_1_3
       + b_4_12·b_4_13·b_6_35·b_1_02 + b_4_12·b_4_132·b_1_02·b_1_32
       + b_4_12·b_4_132·b_1_04 + b_4_12·b_4_133 + b_4_122·b_1_04·b_1_3·b_3_10
       + b_4_122·b_1_04·b_1_34 + b_4_122·b_1_05·b_3_10 + b_4_122·b_1_06·b_1_32
       + b_4_122·b_6_35·b_1_32 + b_4_122·b_6_35·b_1_0·b_1_3 + b_4_122·b_4_132
       + b_4_123·b_1_3·b_3_10 + b_4_123·b_1_34 + b_4_123·b_1_0·b_3_10
       + b_4_123·b_1_02·b_1_32 + b_4_123·b_1_04 + b_4_123·b_4_13 + b_4_124
       + b_4_132·b_6_35·a_1_12 + c_8_56·b_1_02·b_1_36 + c_8_56·b_1_05·b_1_33
       + c_8_56·b_1_06·b_1_32 + c_4_14·b_1_03·b_1_39 + c_4_14·b_1_05·b_1_37
       + c_4_14·b_1_06·b_1_36 + c_4_14·b_1_07·b_1_35 + c_4_14·b_1_09·b_1_33
       + c_4_14·b_1_011·b_1_3 + c_4_14·b_1_012 + b_4_13·c_8_56·b_1_04
       + b_4_13·c_4_14·b_1_05·b_1_33 + b_4_13·c_4_14·b_1_06·b_1_32
       + b_4_13·c_4_14·b_6_35·b_1_0·b_1_3 + b_4_13·c_4_14·b_6_35·b_1_02
       + b_4_132·c_4_14·b_1_0·b_1_33 + b_4_132·c_4_14·b_1_03·b_1_3
       + b_4_12·c_8_56·b_1_03·b_1_3 + b_4_12·c_4_14·b_1_33·b_5_22
       + b_4_12·c_4_14·b_1_0·b_7_45 + b_4_12·c_4_14·b_1_02·b_1_36
       + b_4_12·c_4_14·b_1_04·b_1_34 + b_4_12·c_4_14·b_1_06·b_1_32
       + b_4_12·c_4_14·b_1_07·b_1_3 + b_4_12·c_4_14·b_1_08 + b_4_12·c_4_14·b_8_54
       + b_4_12·c_4_14·b_6_35·b_1_0·b_1_3 + b_4_12·b_4_13·c_4_14·b_1_03·b_1_3
       + b_4_12·b_4_13·c_4_14·b_1_04 + b_4_122·c_8_56 + b_4_122·c_4_14·b_1_3·b_3_10
       + b_4_122·c_4_14·b_1_34 + b_4_122·c_4_14·b_1_03·b_1_3 + b_4_122·c_4_14·b_1_04
       + b_4_123·c_4_14 + c_8_56·a_1_12·b_1_36 + c_4_14·a_1_12·b_1_310
       + b_4_13·c_4_14·b_6_35·a_1_12 + b_4_132·c_4_14·a_1_12·b_1_32
       + b_4_13·c_8_56·a_1_13·b_1_3 + c_4_142·b_1_38 + c_4_142·b_1_02·b_1_36
       + c_4_142·b_1_03·b_1_35 + c_4_142·b_1_04·b_1_34 + c_4_142·b_1_05·b_3_10
       + c_4_142·b_1_07·b_1_3 + c_4_142·b_1_08 + c_4_142·b_6_35·b_1_0·b_1_3
       + c_4_142·b_6_35·b_1_02 + b_4_13·c_4_142·b_1_0·b_1_33
       + b_4_13·c_4_142·b_1_03·b_1_3 + b_4_13·c_4_142·b_1_04 + b_4_132·c_4_142
       + b_4_12·c_4_142·b_1_34 + b_4_12·c_4_142·b_1_0·b_3_10
       + b_4_12·c_4_142·b_1_02·b_1_32 + b_4_12·c_4_142·b_1_03·b_1_3
       + b_4_12·b_4_13·c_4_142 + c_4_142·a_1_12·b_1_36 + c_4_142·b_6_35·a_1_12
       + b_4_13·c_4_142·a_1_12·b_1_32 + b_4_13·c_4_142·a_1_13·b_1_3
       + c_4_143·b_1_04
  75. b_8_542 + b_6_35·b_10_99 + b_6_35·b_8_54·b_1_32 + b_6_352·b_1_04
       + b_4_13·b_6_352 + b_4_132·b_1_33·b_5_22 + b_4_132·b_1_07·b_1_3 + b_4_132·b_8_54
       + b_4_132·b_6_35·b_1_02 + b_4_133·b_1_02·b_1_32 + b_4_133·b_1_04 + b_4_134
       + b_4_12·b_1_0·b_1_311 + b_4_12·b_1_08·b_1_34 + b_4_12·b_8_54·b_1_34
       + b_4_12·b_6_35·b_1_3·b_5_22 + b_4_12·b_6_35·b_1_36
       + b_4_12·b_4_13·b_1_05·b_1_33 + b_4_12·b_4_13·b_8_54
       + b_4_12·b_4_132·b_1_02·b_1_32 + b_4_12·b_4_133 + b_4_122·b_1_03·b_1_35
       + b_4_122·b_1_04·b_1_3·b_3_10 + b_4_122·b_1_07·b_1_3 + b_4_122·b_4_132
       + b_4_123·b_1_0·b_3_10 + b_4_123·b_1_03·b_1_3 + b_4_123·b_1_04 + b_4_124
       + b_6_35·a_1_1·b_1_39 + b_4_132·b_6_35·a_1_1·b_1_3 + b_4_133·a_1_1·b_1_33
       + b_6_35·a_1_12·b_1_38 + c_8_56·b_1_02·b_1_36 + c_8_56·b_1_03·b_1_35
       + c_8_56·b_1_04·b_1_34 + c_8_56·b_1_06·b_1_32 + b_6_35·c_8_56·b_1_32
       + b_6_35·c_8_56·b_1_0·b_1_3 + c_4_14·b_1_03·b_1_39 + c_4_14·b_1_04·b_1_38
       + c_4_14·b_1_06·b_1_36 + c_4_14·b_1_08·b_1_34 + c_4_14·b_1_010·b_1_32
       + c_4_14·b_1_012 + c_4_14·b_6_35·b_1_3·b_5_22 + c_4_14·b_6_35·b_1_36
       + c_4_14·b_6_35·b_1_06 + b_4_13·c_8_56·b_1_03·b_1_3 + b_4_13·c_8_56·b_1_04
       + b_4_13·c_4_14·b_1_05·b_1_33 + b_4_13·c_4_14·b_1_06·b_1_32
       + b_4_13·c_4_14·b_6_35·b_1_02 + b_4_132·c_4_14·b_1_03·b_1_3
       + b_4_132·c_4_14·b_1_04 + b_4_133·c_4_14 + b_4_12·c_8_56·b_1_3·b_3_10
       + b_4_12·c_8_56·b_1_0·b_3_10 + b_4_12·c_8_56·b_1_03·b_1_3 + b_4_12·c_8_56·b_1_04
       + b_4_12·c_4_14·b_1_3·b_7_45 + b_4_12·c_4_14·b_1_38
       + b_4_12·c_4_14·b_1_02·b_1_36 + b_4_12·c_4_14·b_1_04·b_1_3·b_3_10
       + b_4_12·c_4_14·b_1_04·b_1_34 + b_4_12·c_4_14·b_1_06·b_1_32
       + b_4_12·c_4_14·b_1_08 + b_4_12·b_4_13·c_4_14·b_1_0·b_1_33
       + b_4_12·b_4_13·c_4_14·b_1_02·b_1_32 + b_4_12·b_4_132·c_4_14 + b_4_122·c_8_56
       + b_4_122·c_4_14·b_1_0·b_3_10 + b_4_122·c_4_14·b_1_04
       + b_4_13·c_4_14·b_6_35·a_1_1·b_1_3 + b_4_132·c_4_14·a_1_1·b_1_33
       + c_8_56·a_1_12·b_1_36 + b_6_35·c_8_56·a_1_12 + c_4_14·a_1_12·b_1_310
       + c_4_14·b_6_35·a_1_12·b_1_34 + b_4_132·c_4_14·a_1_12·b_1_32
       + b_4_13·c_8_56·a_1_13·b_1_3 + c_4_14·c_8_56·b_1_03·b_1_3 + c_4_14·c_8_56·b_1_04
       + c_4_142·b_1_38 + c_4_142·b_1_04·b_1_3·b_3_10 + c_4_142·b_1_05·b_3_10
       + c_4_142·b_1_05·b_1_33 + c_4_142·b_1_07·b_1_3 + c_4_142·b_6_35·b_1_32
       + b_4_13·c_4_142·b_1_03·b_1_3 + b_4_13·c_4_142·b_1_04 + b_4_132·c_4_142
       + b_4_12·c_4_142·b_1_3·b_3_10 + b_4_12·c_4_142·b_1_02·b_1_32
       + b_4_12·c_4_142·b_1_04 + c_4_142·a_1_1·b_1_37 + c_4_142·b_6_35·a_1_1·b_1_3
       + c_4_142·a_1_12·b_1_36 + c_4_142·b_6_35·a_1_12 + c_4_14·c_8_56·a_1_13·b_1_3
       + b_4_13·c_4_142·a_1_13·b_1_3 + c_4_143·b_1_03·b_1_3
  76. b_10_99·b_7_45 + b_4_132·b_8_54·b_1_3 + b_4_132·b_6_35·b_1_0·b_1_32
       + b_4_132·b_6_35·b_1_02·b_1_3 + b_4_133·b_5_22 + b_4_134·b_1_3
       + b_4_12·b_1_02·b_1_311 + b_4_12·b_1_09·b_1_34 + b_4_12·b_8_54·b_1_35
       + b_4_12·b_6_35·b_1_32·b_5_22 + b_4_12·b_6_352·b_1_0 + b_4_12·b_4_13·b_8_54·b_1_3
       + b_4_12·b_4_13·b_6_35·b_1_0·b_1_32 + b_4_12·b_4_13·b_6_35·b_1_02·b_1_3
       + b_4_12·b_4_13·b_6_35·b_1_03 + b_4_12·b_4_132·b_5_22
       + b_4_12·b_4_132·b_1_04·b_1_3 + b_4_122·b_1_39 + b_4_122·b_1_02·b_1_37
       + b_4_122·b_1_03·b_1_36 + b_4_122·b_1_04·b_1_35 + b_4_122·b_1_07·b_1_32
       + b_4_122·b_1_08·b_1_3 + b_4_122·b_6_35·b_3_10 + b_4_122·b_6_35·b_1_33
       + b_4_122·b_6_35·b_1_02·b_1_3 + b_4_122·b_6_35·b_1_03
       + b_4_122·b_4_13·b_1_02·b_1_33 + b_4_122·b_4_13·b_1_03·b_1_32
       + b_4_122·b_4_13·b_1_05 + b_4_122·b_4_132·b_1_0 + b_4_123·b_5_23
       + b_4_123·b_1_35 + b_4_123·b_1_0·b_1_3·b_3_10 + b_4_123·b_1_0·b_1_34
       + b_4_123·b_1_03·b_1_32 + b_4_123·b_1_04·b_1_3 + b_4_124·b_1_3 + b_4_124·b_1_0
       + b_4_134·a_1_1 + a_1_12·b_1_315 + b_4_133·a_1_12·b_1_33
       + c_8_56·b_1_03·b_1_36 + c_8_56·b_1_04·b_1_35 + c_8_56·b_1_05·b_1_34
       + c_8_56·b_1_07·b_1_32 + b_6_35·c_8_56·b_1_0·b_1_32
       + b_6_35·c_8_56·b_1_02·b_1_3 + b_6_35·c_8_56·b_1_03 + c_4_14·b_1_04·b_1_39
       + c_4_14·b_1_05·b_1_38 + c_4_14·b_1_07·b_1_36 + c_4_14·b_1_09·b_1_34
       + c_4_14·b_1_011·b_1_32 + c_4_14·b_1_013 + c_4_14·b_6_35·b_1_32·b_5_22
       + c_4_14·b_6_352·b_1_3 + c_4_14·b_6_352·b_1_0 + b_4_13·c_8_56·b_5_23
       + b_4_13·c_8_56·b_5_22 + b_4_13·c_8_56·b_1_04·b_1_3 + b_4_13·c_4_14·b_1_09
       + b_4_13·c_4_14·b_8_54·b_1_3 + b_4_13·c_4_14·b_6_35·b_1_02·b_1_3
       + b_4_13·c_4_14·b_6_35·b_1_03 + b_4_132·c_4_14·b_5_22
       + b_4_132·c_4_14·b_1_02·b_1_33 + b_4_132·c_4_14·b_1_03·b_1_32
       + b_4_132·c_4_14·b_1_05 + b_4_133·c_4_14·b_1_3 + b_4_12·c_8_56·b_5_22
       + b_4_12·c_8_56·b_1_0·b_1_3·b_3_10 + b_4_12·c_8_56·b_1_0·b_1_34
       + b_4_12·c_8_56·b_1_02·b_3_10 + b_4_12·c_8_56·b_1_02·b_1_33
       + b_4_12·c_8_56·b_1_05 + b_4_12·c_4_14·b_1_34·b_5_22
       + b_4_12·c_4_14·b_1_02·b_1_37 + b_4_12·c_4_14·b_1_03·b_1_36
       + b_4_12·c_4_14·b_1_04·b_1_35 + b_4_12·c_4_14·b_1_05·b_1_34
       + b_4_12·c_4_14·b_1_06·b_1_33 + b_4_12·c_4_14·b_1_07·b_1_32
       + b_4_12·c_4_14·b_1_08·b_1_3 + b_4_12·c_4_14·b_1_09
       + b_4_12·c_4_14·b_6_35·b_1_33 + b_4_12·c_4_14·b_6_35·b_1_0·b_1_32
       + b_4_12·c_4_14·b_6_35·b_1_02·b_1_3 + b_4_12·c_4_14·b_6_35·b_1_03
       + b_4_12·b_4_13·c_8_56·b_1_0 + b_4_12·b_4_13·c_4_14·b_5_23
       + b_4_12·b_4_13·c_4_14·b_1_02·b_1_33 + b_4_12·b_4_13·c_4_14·b_1_03·b_1_32
       + b_4_12·b_4_13·c_4_14·b_1_04·b_1_3 + b_4_12·b_4_13·c_4_14·b_1_05
       + b_4_12·b_4_132·c_4_14·b_1_3 + b_4_122·c_8_56·b_1_3 + b_4_122·c_8_56·b_1_0
       + b_4_122·c_4_14·b_5_23 + b_4_122·c_4_14·b_1_35
       + b_4_122·c_4_14·b_1_0·b_1_3·b_3_10 + b_4_122·c_4_14·b_1_0·b_1_34
       + b_4_122·c_4_14·b_1_02·b_3_10 + b_4_122·c_4_14·b_1_02·b_1_33
       + b_4_122·c_4_14·b_1_03·b_1_32 + b_4_122·c_4_14·b_1_04·b_1_3
       + b_4_122·c_4_14·b_1_05 + b_4_122·b_4_13·c_4_14·b_1_0 + b_4_123·c_4_14·b_1_0
       + c_8_56·a_1_1·b_1_38 + b_8_54·c_8_56·a_1_1 + b_6_35·c_8_56·a_1_1·b_1_32
       + c_4_14·b_6_35·a_1_1·b_1_36 + b_4_13·c_4_14·b_6_35·a_1_1·b_1_32
       + b_4_133·c_4_14·a_1_1 + c_8_56·a_1_12·b_1_37 + b_6_35·c_8_56·a_1_12·b_1_3
       + b_4_13·c_8_56·a_1_12·b_1_33 + b_4_13·c_4_14·b_6_35·a_1_12·b_1_3
       + c_4_14·c_8_56·b_1_0·b_1_3·b_3_10 + c_4_14·c_8_56·b_1_0·b_1_34
       + c_4_14·c_8_56·b_1_02·b_3_10 + c_4_14·c_8_56·b_1_03·b_1_32
       + c_4_14·c_8_56·b_1_04·b_1_3 + c_4_14·c_8_56·b_1_05 + c_4_142·b_1_34·b_5_22
       + c_4_142·b_1_0·b_1_38 + c_4_142·b_1_04·b_1_35 + c_4_142·b_1_05·b_1_34
       + c_4_142·b_1_06·b_1_33 + c_4_142·b_1_07·b_1_32 + c_4_142·b_1_08·b_1_3
       + c_4_142·b_1_09 + c_4_142·b_8_54·b_1_0 + c_4_142·b_6_35·b_3_10
       + c_4_142·b_6_35·b_1_33 + c_4_142·b_6_35·b_1_0·b_1_32
       + c_4_142·b_6_35·b_1_02·b_1_3 + c_4_142·b_6_35·b_1_03
       + b_4_13·c_4_14·c_8_56·b_1_0 + b_4_13·c_4_142·b_5_23 + b_4_13·c_4_142·b_5_22
       + b_4_13·c_4_142·b_1_04·b_1_3 + b_4_132·c_4_142·b_1_3
       + b_4_12·c_4_142·b_1_02·b_3_10 + b_4_12·c_4_142·b_1_02·b_1_33
       + b_4_12·c_4_142·b_1_04·b_1_3 + b_4_12·b_4_13·c_4_142·b_1_3
       + b_4_122·c_4_142·b_1_0 + c_4_14·c_8_56·a_1_1·b_1_34 + c_4_142·a_1_1·b_1_38
       + c_4_142·b_8_54·a_1_1 + c_4_14·c_8_56·a_1_12·b_3_10
       + c_4_14·c_8_56·a_1_12·b_1_33 + c_4_142·b_6_35·a_1_12·b_1_3
       + b_4_13·c_4_142·a_1_12·b_1_33 + c_4_143·b_1_02·b_3_10
       + c_4_143·b_1_02·b_1_33 + c_4_143·b_1_04·b_1_3 + c_4_143·b_1_05
       + b_4_12·c_4_143·b_1_0 + c_4_143·a_1_1·b_1_34 + b_4_12·c_4_143·a_1_1
       + c_4_143·a_1_12·b_3_10
  77. b_8_54·b_10_99 + b_4_132·b_8_54·b_1_32 + b_4_134·b_1_0·b_1_3
       + b_4_12·b_1_0·b_1_313 + b_4_12·b_1_08·b_1_36 + b_4_12·b_8_54·b_1_36
       + b_4_12·b_4_13·b_6_35·b_1_03·b_1_3 + b_4_12·b_4_13·b_6_35·b_1_04
       + b_4_12·b_4_132·b_1_3·b_5_22 + b_4_12·b_4_132·b_1_0·b_5_22
       + b_4_12·b_4_132·b_1_03·b_1_33 + b_4_12·b_4_132·b_1_04·b_1_32
       + b_4_12·b_4_132·b_1_05·b_1_3 + b_4_12·b_4_132·b_1_06
       + b_4_12·b_4_133·b_1_0·b_1_3 + b_4_122·b_1_310 + b_4_122·b_1_0·b_1_39
       + b_4_122·b_1_02·b_1_38 + b_4_122·b_1_04·b_1_36 + b_4_122·b_1_05·b_1_35
       + b_4_122·b_1_06·b_1_34 + b_4_122·b_6_35·b_1_34 + b_4_122·b_6_35·b_1_0·b_3_10
       + b_4_122·b_6_35·b_1_0·b_1_33 + b_4_122·b_4_13·b_1_3·b_5_22
       + b_4_122·b_4_13·b_1_0·b_5_22 + b_4_122·b_4_13·b_1_03·b_1_33
       + b_4_122·b_4_13·b_1_04·b_1_32 + b_4_122·b_4_13·b_1_05·b_1_3
       + b_4_122·b_4_13·b_1_06 + b_4_122·b_4_132·b_1_32 + b_4_122·b_4_132·b_1_02
       + b_4_123·b_1_3·b_5_23 + b_4_123·b_1_36 + b_4_123·b_1_0·b_5_22
       + b_4_123·b_1_02·b_1_34 + b_4_123·b_1_03·b_3_10 + b_4_123·b_6_35
       + b_4_123·b_4_13·b_1_0·b_1_3 + b_4_123·b_4_13·b_1_02 + b_4_133·a_1_1·b_5_23
       + b_4_134·a_1_1·b_1_3 + b_4_132·b_6_35·a_1_12·b_1_32 + c_8_56·b_1_02·b_1_38
       + c_8_56·b_1_03·b_1_37 + c_8_56·b_1_04·b_1_36 + c_8_56·b_1_06·b_1_34
       + b_8_54·c_8_56·b_1_32 + b_6_35·c_8_56·b_1_0·b_3_10 + b_6_35·c_8_56·b_1_0·b_1_33
       + b_6_35·c_8_56·b_1_04 + c_4_14·b_1_03·b_1_311 + c_4_14·b_1_04·b_1_310
       + c_4_14·b_1_06·b_1_38 + c_4_14·b_1_08·b_1_36 + c_4_14·b_1_010·b_1_34
       + c_4_14·b_1_012·b_1_32 + c_4_14·b_8_54·b_1_36 + c_4_14·b_6_35·b_8_54
       + c_4_14·b_6_352·b_1_32 + c_4_14·b_6_352·b_1_02
       + b_4_13·c_8_56·b_1_03·b_1_33 + b_4_13·c_8_56·b_1_04·b_1_32
       + b_4_13·c_8_56·b_1_05·b_1_3 + b_4_13·c_8_56·b_1_06
       + b_4_13·c_4_14·b_8_54·b_1_32 + b_4_13·c_4_14·b_6_35·b_1_03·b_1_3
       + b_4_13·c_4_14·b_6_35·b_1_04 + b_4_132·c_8_56·b_1_0·b_1_3
       + b_4_132·c_8_56·b_1_02 + b_4_132·c_4_14·b_1_3·b_5_22
       + b_4_132·c_4_14·b_1_0·b_5_22 + b_4_132·c_4_14·b_1_03·b_1_33
       + b_4_132·c_4_14·b_1_04·b_1_32 + b_4_132·c_4_14·b_1_06
       + b_4_132·c_4_14·b_6_35 + b_4_133·c_4_14·b_1_32 + b_4_12·c_8_56·b_1_3·b_5_22
       + b_4_12·c_8_56·b_1_36 + b_4_12·c_8_56·b_1_0·b_1_35
       + b_4_12·c_8_56·b_1_02·b_1_3·b_3_10 + b_4_12·c_8_56·b_1_05·b_1_3
       + b_4_12·c_8_56·b_1_06 + b_4_12·c_4_14·b_1_310 + b_4_12·c_4_14·b_1_0·b_1_39
       + b_4_12·c_4_14·b_1_02·b_1_38 + b_4_12·c_4_14·b_1_03·b_1_37
       + b_4_12·c_4_14·b_1_05·b_1_35 + b_4_12·c_4_14·b_1_08·b_1_32
       + b_4_12·c_4_14·b_1_09·b_1_3 + b_4_12·c_4_14·b_8_54·b_1_32
       + b_4_12·c_4_14·b_6_35·b_1_0·b_1_33 + b_4_12·c_4_14·b_6_35·b_1_03·b_1_3
       + b_4_12·b_4_13·c_8_56·b_1_02 + b_4_12·b_4_13·c_4_14·b_1_0·b_5_22
       + b_4_12·b_4_13·c_4_14·b_1_04·b_1_32 + b_4_12·b_4_13·c_4_14·b_6_35
       + b_4_12·b_4_132·c_4_14·b_1_32 + b_4_12·b_4_132·c_4_14·b_1_0·b_1_3
       + b_4_122·c_8_56·b_1_0·b_1_3 + b_4_122·c_4_14·b_1_3·b_5_23
       + b_4_122·c_4_14·b_1_3·b_5_22 + b_4_122·c_4_14·b_1_36
       + b_4_122·c_4_14·b_1_0·b_1_35 + b_4_122·c_4_14·b_1_02·b_1_3·b_3_10
       + b_4_122·c_4_14·b_1_03·b_3_10 + b_4_122·c_4_14·b_1_04·b_1_32
       + b_4_122·c_4_14·b_1_05·b_1_3 + b_4_122·b_4_13·c_4_14·b_1_32
       + b_4_123·c_4_14·b_1_0·b_1_3 + b_4_123·c_4_14·b_1_02
       + b_6_35·c_8_56·a_1_1·b_1_33 + c_4_14·a_1_1·b_1_313 + b_4_13·c_8_56·a_1_1·b_5_23
       + b_4_132·c_4_14·a_1_1·b_5_23 + b_4_133·c_4_14·a_1_1·b_1_3
       + c_8_56·a_1_12·b_1_38 + b_8_54·c_8_56·a_1_12 + b_4_132·c_8_56·a_1_12
       + b_4_133·c_4_14·a_1_12 + c_4_14·c_8_56·b_1_0·b_1_35
       + c_4_14·c_8_56·b_1_02·b_1_3·b_3_10 + c_4_14·c_8_56·b_1_02·b_1_34
       + c_4_14·c_8_56·b_1_03·b_1_33 + c_4_142·b_1_35·b_5_22 + c_4_142·b_1_310
       + c_4_142·b_1_0·b_1_39 + c_4_142·b_1_03·b_1_37 + c_4_142·b_1_04·b_1_36
       + c_4_142·b_1_05·b_1_35 + c_4_142·b_1_07·b_1_33 + c_4_142·b_1_09·b_1_3
       + c_4_142·b_6_35·b_1_03·b_1_3 + b_4_13·c_4_14·c_8_56·b_1_0·b_1_3
       + b_4_13·c_4_142·b_1_3·b_5_22 + b_4_13·c_4_142·b_1_03·b_1_33
       + b_4_13·c_4_142·b_1_05·b_1_3 + b_4_13·c_4_142·b_6_35 + b_4_132·c_4_142·b_1_32
       + b_4_132·c_4_142·b_1_02 + b_4_12·c_4_14·c_8_56·b_1_0·b_1_3
       + b_4_12·c_4_142·b_1_0·b_1_35 + b_4_12·c_4_142·b_1_02·b_1_3·b_3_10
       + b_4_12·c_4_142·b_1_02·b_1_34 + b_4_12·c_4_142·b_1_04·b_1_32
       + b_4_12·c_4_142·b_1_05·b_1_3 + b_4_12·c_4_142·b_6_35
       + b_4_12·b_4_13·c_4_142·b_1_32 + b_4_12·b_4_13·c_4_142·b_1_0·b_1_3
       + b_4_122·c_4_142·b_1_0·b_1_3 + b_4_122·c_4_142·b_1_02
       + c_4_14·c_8_56·a_1_1·b_1_35 + c_4_142·a_1_1·b_1_39
       + b_4_132·c_4_142·a_1_1·b_1_3 + c_4_14·c_8_56·a_1_12·b_1_34
       + c_4_142·a_1_12·b_1_38 + c_4_142·b_6_35·a_1_12·b_1_32
       + b_4_132·c_4_142·a_1_12 + b_4_12·c_4_14·c_8_56·a_1_12
       + c_4_143·b_1_0·b_1_35 + c_4_143·b_1_02·b_1_34 + c_4_143·b_1_03·b_3_10
       + c_4_143·b_1_04·b_1_32 + c_4_143·b_1_05·b_1_3 + b_4_13·c_4_143·b_1_32
       + b_4_13·c_4_143·b_1_02 + b_4_12·c_4_143·b_1_0·b_1_3 + c_4_143·a_1_1·b_1_35
       + b_4_13·c_4_143·a_1_1·b_1_3 + c_4_143·a_1_12·b_1_34 + b_4_13·c_4_143·a_1_12
       + b_4_12·c_4_143·a_1_12
  78. b_10_992 + b_6_353·b_1_02 + b_4_13·b_6_352·b_1_04 + b_4_133·b_1_05·b_1_33
       + b_4_134·b_1_02·b_1_32 + b_4_135 + b_4_12·b_1_0·b_1_315
       + b_4_12·b_1_02·b_1_314 + b_4_12·b_1_011·b_1_35
       + b_4_12·b_4_132·b_1_05·b_1_33 + b_4_12·b_4_132·b_8_54
       + b_4_12·b_4_132·b_6_35·b_1_32 + b_4_12·b_4_133·b_1_0·b_1_33
       + b_4_12·b_4_133·b_1_02·b_1_32 + b_4_12·b_4_133·b_1_03·b_1_3 + b_4_12·b_4_134
       + b_4_122·b_1_02·b_1_310 + b_4_122·b_1_06·b_1_36 + b_4_122·b_1_010·b_1_32
       + b_4_122·b_8_54·b_1_34 + b_4_122·b_6_35·b_1_3·b_5_22 + b_4_122·b_6_35·b_1_36
       + b_4_122·b_6_35·b_1_06 + b_4_122·b_6_352 + b_4_122·b_4_13·b_1_06·b_1_32
       + b_4_122·b_4_13·b_6_35·b_1_32 + b_4_122·b_4_13·b_6_35·b_1_0·b_1_3
       + b_4_122·b_4_13·b_6_35·b_1_02 + b_4_122·b_4_132·b_1_0·b_1_33
       + b_4_122·b_4_132·b_1_02·b_1_32 + b_4_123·b_1_0·b_7_45
       + b_4_123·b_1_0·b_1_37 + b_4_123·b_1_04·b_1_3·b_3_10 + b_4_123·b_1_05·b_3_10
       + b_4_123·b_1_05·b_1_33 + b_4_123·b_1_07·b_1_3 + b_4_123·b_8_54
       + b_4_123·b_6_35·b_1_0·b_1_3 + b_4_123·b_6_35·b_1_02 + b_4_123·b_4_132
       + b_4_124·b_1_3·b_3_10 + b_4_124·b_1_34 + b_4_124·b_1_02·b_1_32
       + b_4_124·b_1_04 + b_4_124·b_4_13 + b_4_125 + b_4_133·b_6_35·a_1_1·b_1_3
       + b_4_134·a_1_1·b_1_33 + a_1_12·b_1_318 + b_4_133·b_6_35·a_1_12
       + c_8_56·b_1_02·b_1_310 + c_8_56·b_1_05·b_1_37 + c_8_56·b_1_06·b_1_36
       + c_8_56·b_1_07·b_1_35 + c_8_56·b_1_09·b_1_33 + c_4_14·b_1_03·b_1_313
       + c_4_14·b_1_05·b_1_311 + c_4_14·b_1_06·b_1_310 + c_4_14·b_1_07·b_1_39
       + c_4_14·b_1_08·b_1_38 + c_4_14·b_1_09·b_1_37 + c_4_14·b_1_011·b_1_35
       + c_4_14·b_1_013·b_1_33 + c_4_14·b_1_015·b_1_3 + c_4_14·b_6_352·b_1_04
       + b_4_13·c_8_56·b_1_05·b_1_33 + b_4_13·c_8_56·b_1_06·b_1_32
       + b_4_13·c_8_56·b_1_08 + b_4_13·b_6_35·c_8_56·b_1_0·b_1_3
       + b_4_132·c_8_56·b_1_0·b_1_33 + b_4_132·c_8_56·b_1_02·b_1_32
       + b_4_132·c_4_14·b_1_05·b_1_33 + b_4_132·c_4_14·b_1_07·b_1_3
       + b_4_132·c_4_14·b_6_35·b_1_02 + b_4_133·c_4_14·b_1_02·b_1_32
       + b_4_134·c_4_14 + b_4_12·c_8_56·b_1_33·b_5_22 + b_4_12·c_8_56·b_1_0·b_7_45
       + b_4_12·c_8_56·b_1_03·b_1_35 + b_4_12·c_8_56·b_1_04·b_1_3·b_3_10
       + b_4_12·c_8_56·b_1_05·b_1_33 + b_4_12·c_8_56·b_1_08 + b_4_12·b_8_54·c_8_56
       + b_4_12·b_6_35·c_8_56·b_1_0·b_1_3 + b_4_12·b_6_35·c_8_56·b_1_02
       + b_4_12·c_4_14·b_1_02·b_1_310 + b_4_12·c_4_14·b_1_08·b_1_34
       + b_4_12·c_4_14·b_1_09·b_1_33 + b_4_12·c_4_14·b_1_010·b_1_32
       + b_4_12·c_4_14·b_1_011·b_1_3 + b_4_12·c_4_14·b_1_012
       + b_4_12·c_4_14·b_6_35·b_1_06 + b_4_12·b_4_13·c_8_56·b_1_04
       + b_4_12·b_4_13·c_4_14·b_1_33·b_5_22 + b_4_12·b_4_13·c_4_14·b_1_05·b_1_33
       + b_4_12·b_4_13·c_4_14·b_6_35·b_1_32 + b_4_12·b_4_132·c_8_56
       + b_4_12·b_4_132·c_4_14·b_1_04 + b_4_12·b_4_133·c_4_14
       + b_4_122·c_8_56·b_1_3·b_3_10 + b_4_122·c_8_56·b_1_34
       + b_4_122·c_8_56·b_1_03·b_1_3 + b_4_122·c_8_56·b_1_04
       + b_4_122·c_4_14·b_1_0·b_1_37 + b_4_122·c_4_14·b_1_05·b_3_10
       + b_4_122·c_4_14·b_1_05·b_1_33 + b_4_122·c_4_14·b_1_07·b_1_3
       + b_4_122·c_4_14·b_6_35·b_1_02 + b_4_122·b_4_13·c_4_14·b_1_02·b_1_32
       + b_4_122·b_4_13·c_4_14·b_1_03·b_1_3 + b_4_122·b_4_13·c_4_14·b_1_04
       + b_4_123·c_8_56 + b_4_123·c_4_14·b_1_3·b_3_10 + b_4_123·c_4_14·b_1_02·b_1_32
       + b_4_123·c_4_14·b_1_04 + b_4_123·b_4_13·c_4_14
       + b_4_132·c_4_14·b_6_35·a_1_1·b_1_3 + b_4_133·c_4_14·a_1_1·b_1_33
       + c_8_56·a_1_12·b_1_310 + c_4_14·a_1_12·b_1_314 + b_4_13·b_6_35·c_8_56·a_1_12
       + b_4_132·c_4_14·b_6_35·a_1_12 + c_8_562·b_1_34 + c_8_562·b_1_02·b_1_32
       + c_8_562·b_1_04 + c_4_14·c_8_56·b_1_04·b_1_3·b_3_10
       + c_4_14·c_8_56·b_1_04·b_1_34 + c_4_14·c_8_56·b_1_05·b_3_10
       + c_4_14·c_8_56·b_1_05·b_1_33 + c_4_14·c_8_56·b_1_06·b_1_32
       + c_4_14·c_8_56·b_1_08 + c_4_14·b_6_35·c_8_56·b_1_0·b_1_3
       + c_4_14·b_6_35·c_8_56·b_1_02 + c_4_142·b_1_03·b_1_39
       + c_4_142·b_1_06·b_1_36 + c_4_142·b_1_08·b_1_34 + c_4_142·b_1_09·b_1_33
       + c_4_142·b_1_010·b_1_32 + c_4_142·b_1_011·b_1_3 + c_4_142·b_1_012
       + b_4_13·c_4_14·c_8_56·b_1_0·b_1_33 + b_4_13·c_4_14·c_8_56·b_1_02·b_1_32
       + b_4_13·c_4_14·c_8_56·b_1_03·b_1_3 + b_4_13·c_4_142·b_1_05·b_1_33
       + b_4_13·c_4_142·b_1_06·b_1_32 + b_4_13·c_4_142·b_1_07·b_1_3
       + b_4_132·c_4_142·b_1_02·b_1_32 + b_4_132·c_4_142·b_1_04
       + b_4_133·c_4_142 + b_4_12·c_4_14·c_8_56·b_1_0·b_3_10
       + b_4_12·c_4_14·c_8_56·b_1_03·b_1_3 + b_4_12·c_4_142·b_1_33·b_5_22
       + b_4_12·c_4_142·b_1_04·b_1_34 + b_4_12·c_4_142·b_1_05·b_3_10
       + b_4_12·c_4_142·b_1_05·b_1_33 + b_4_12·c_4_142·b_1_07·b_1_3
       + b_4_12·c_4_142·b_6_35·b_1_32 + b_4_12·c_4_142·b_6_35·b_1_0·b_1_3
       + b_4_12·c_4_142·b_6_35·b_1_02 + b_4_12·b_4_13·c_4_14·c_8_56
       + b_4_12·b_4_13·c_4_142·b_1_03·b_1_3 + b_4_122·c_4_14·c_8_56
       + b_4_122·c_4_142·b_1_0·b_3_10 + b_4_122·c_4_142·b_1_02·b_1_32
       + b_4_122·c_4_142·b_1_03·b_1_3 + b_4_122·c_4_142·b_1_04
       + b_4_122·b_4_13·c_4_142 + b_4_123·c_4_142 + b_4_13·c_4_142·b_6_35·a_1_1·b_1_3
       + b_4_132·c_4_142·a_1_1·b_1_33 + c_4_14·c_8_56·a_1_12·b_1_36
       + c_4_14·b_6_35·c_8_56·a_1_12 + b_4_13·c_4_14·c_8_56·a_1_12·b_1_32
       + b_4_13·c_4_142·b_6_35·a_1_12 + b_4_132·c_4_142·a_1_12·b_1_32
       + b_4_13·c_4_14·c_8_56·a_1_13·b_1_3 + c_4_143·b_1_02·b_1_36
       + c_4_143·b_1_03·b_1_35 + c_4_143·b_1_04·b_1_34 + c_4_143·b_1_05·b_1_33
       + b_4_13·c_4_143·b_1_0·b_1_33 + b_4_13·c_4_143·b_1_04 + b_4_132·c_4_143
       + b_4_12·c_4_143·b_1_34 + b_4_12·c_4_143·b_1_0·b_1_33
       + b_4_12·c_4_143·b_1_04 + b_4_122·c_4_143 + c_4_142·c_8_56·a_1_12·b_1_32
       + b_4_13·c_4_143·a_1_13·b_1_3 + c_4_144·b_1_02·b_1_32
       + c_4_144·a_1_12·b_1_32


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 20.
  • The completion test was perfect: It applied in the last degree in which a generator or relation was found.
  • The following is a filter regular homogeneous system of parameters:
    1. c_4_14, a Duflot regular element of degree 4
    2. c_8_56, a Duflot regular element of degree 8
    3. b_1_32 + b_1_0·b_1_3 + b_1_02, an element of degree 2
    4. b_1_32, an element of degree 2
  • The Raw Filter Degree Type of that HSOP is [-1, -1, 8, 10, 12].
  • The filter degree type of any filter regular HSOP is [-1, -2, -3, -4, -4].


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

Restriction maps

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

  1. a_1_10, an element of degree 1
  2. a_1_20, an element of degree 1
  3. b_1_00, an element of degree 1
  4. b_1_30, an element of degree 1
  5. b_3_100, an element of degree 3
  6. b_4_120, an element of degree 4
  7. b_4_130, an element of degree 4
  8. c_4_14c_1_14, an element of degree 4
  9. a_5_120, an element of degree 5
  10. b_5_220, an element of degree 5
  11. b_5_230, an element of degree 5
  12. b_6_350, an element of degree 6
  13. b_7_450, an element of degree 7
  14. b_8_540, an element of degree 8
  15. c_8_56c_1_18 + c_1_08, an element of degree 8
  16. b_10_990, an element of degree 10

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

  1. a_1_10, an element of degree 1
  2. a_1_20, an element of degree 1
  3. b_1_0c_1_2, an element of degree 1
  4. b_1_3c_1_3, an element of degree 1
  5. b_3_10c_1_1·c_1_22 + c_1_12·c_1_2, an element of degree 3
  6. b_4_12c_1_1·c_1_22·c_1_3 + c_1_12·c_1_2·c_1_3 + c_1_0·c_1_23 + c_1_02·c_1_22, an element of degree 4
  7. b_4_13c_1_1·c_1_2·c_1_32 + c_1_12·c_1_32 + c_1_0·c_1_23 + c_1_02·c_1_22, an element of degree 4
  8. c_4_14c_1_1·c_1_2·c_1_32 + c_1_12·c_1_32 + c_1_12·c_1_22 + c_1_14, an element of degree 4
  9. a_5_120, an element of degree 5
  10. b_5_22c_1_1·c_1_2·c_1_33 + c_1_12·c_1_33 + c_1_0·c_1_22·c_1_32 + c_1_0·c_1_23·c_1_3
       + c_1_02·c_1_2·c_1_32 + c_1_02·c_1_22·c_1_3 + c_1_02·c_1_23 + c_1_04·c_1_2, an element of degree 5
  11. b_5_23c_1_1·c_1_2·c_1_33 + c_1_1·c_1_24 + c_1_12·c_1_33 + c_1_12·c_1_23
       + c_1_0·c_1_22·c_1_32 + c_1_0·c_1_23·c_1_3 + c_1_0·c_1_24
       + c_1_02·c_1_2·c_1_32 + c_1_02·c_1_22·c_1_3 + c_1_02·c_1_23, an element of degree 5
  12. b_6_35c_1_1·c_1_2·c_1_34 + c_1_1·c_1_24·c_1_3 + c_1_1·c_1_25 + c_1_12·c_1_34
       + c_1_12·c_1_24 + c_1_14·c_1_2·c_1_3 + c_1_0·c_1_23·c_1_32 + c_1_0·c_1_24·c_1_3
       + c_1_0·c_1_1·c_1_24 + c_1_0·c_1_12·c_1_23 + c_1_02·c_1_22·c_1_32
       + c_1_02·c_1_24 + c_1_02·c_1_1·c_1_23 + c_1_02·c_1_12·c_1_22
       + c_1_04·c_1_2·c_1_3 + c_1_04·c_1_22, an element of degree 6
  13. b_7_45c_1_1·c_1_23·c_1_33 + c_1_1·c_1_24·c_1_32 + c_1_1·c_1_25·c_1_3
       + c_1_12·c_1_22·c_1_33 + c_1_12·c_1_24·c_1_3 + c_1_12·c_1_25
       + c_1_13·c_1_24 + c_1_14·c_1_2·c_1_32 + c_1_15·c_1_22 + c_1_16·c_1_2
       + c_1_0·c_1_25·c_1_3 + c_1_0·c_1_26 + c_1_02·c_1_25 + c_1_02·c_1_1·c_1_24
       + c_1_02·c_1_12·c_1_23 + c_1_04·c_1_22·c_1_3 + c_1_04·c_1_1·c_1_22
       + c_1_04·c_1_12·c_1_2, an element of degree 7
  14. b_8_54c_1_1·c_1_2·c_1_36 + c_1_1·c_1_24·c_1_33 + c_1_1·c_1_26·c_1_3 + c_1_1·c_1_27
       + c_1_12·c_1_36 + c_1_12·c_1_24·c_1_32 + c_1_12·c_1_25·c_1_3
       + c_1_13·c_1_23·c_1_32 + c_1_13·c_1_25 + c_1_14·c_1_2·c_1_33
       + c_1_15·c_1_2·c_1_32 + c_1_15·c_1_23 + c_1_16·c_1_32 + c_1_16·c_1_22
       + c_1_0·c_1_22·c_1_35 + c_1_0·c_1_25·c_1_32 + c_1_0·c_1_1·c_1_25·c_1_3
       + c_1_0·c_1_1·c_1_26 + c_1_0·c_1_12·c_1_24·c_1_3 + c_1_0·c_1_12·c_1_25
       + c_1_02·c_1_2·c_1_35 + c_1_02·c_1_23·c_1_33 + c_1_02·c_1_24·c_1_32
       + c_1_02·c_1_26 + c_1_03·c_1_25 + c_1_04·c_1_2·c_1_33
       + c_1_04·c_1_1·c_1_22·c_1_3 + c_1_04·c_1_1·c_1_23 + c_1_04·c_1_12·c_1_2·c_1_3
       + c_1_04·c_1_12·c_1_22 + c_1_05·c_1_23 + c_1_06·c_1_22, an element of degree 8
  15. c_8_56c_1_1·c_1_2·c_1_36 + c_1_1·c_1_27 + c_1_12·c_1_36 + c_1_12·c_1_22·c_1_34
       + c_1_12·c_1_23·c_1_33 + c_1_12·c_1_24·c_1_32 + c_1_12·c_1_26
       + c_1_13·c_1_23·c_1_32 + c_1_13·c_1_24·c_1_3 + c_1_14·c_1_34
       + c_1_14·c_1_2·c_1_33 + c_1_14·c_1_23·c_1_3 + c_1_14·c_1_24
       + c_1_15·c_1_2·c_1_32 + c_1_15·c_1_22·c_1_3 + c_1_16·c_1_32
       + c_1_16·c_1_2·c_1_3 + c_1_18 + c_1_0·c_1_22·c_1_35 + c_1_0·c_1_23·c_1_34
       + c_1_0·c_1_25·c_1_32 + c_1_0·c_1_1·c_1_24·c_1_32 + c_1_0·c_1_1·c_1_25·c_1_3
       + c_1_0·c_1_12·c_1_23·c_1_32 + c_1_0·c_1_12·c_1_24·c_1_3
       + c_1_02·c_1_2·c_1_35 + c_1_02·c_1_24·c_1_32 + c_1_02·c_1_25·c_1_3
       + c_1_02·c_1_1·c_1_23·c_1_32 + c_1_02·c_1_1·c_1_24·c_1_3
       + c_1_02·c_1_12·c_1_22·c_1_32 + c_1_02·c_1_12·c_1_23·c_1_3 + c_1_04·c_1_34
       + c_1_04·c_1_23·c_1_3 + c_1_04·c_1_24 + c_1_08, an element of degree 8
  16. b_10_99c_1_1·c_1_2·c_1_38 + c_1_1·c_1_23·c_1_36 + c_1_1·c_1_24·c_1_35
       + c_1_1·c_1_25·c_1_34 + c_1_1·c_1_26·c_1_33 + c_1_1·c_1_27·c_1_32
       + c_1_1·c_1_28·c_1_3 + c_1_1·c_1_29 + c_1_12·c_1_38 + c_1_12·c_1_23·c_1_35
       + c_1_12·c_1_28 + c_1_13·c_1_23·c_1_34 + c_1_13·c_1_24·c_1_33
       + c_1_13·c_1_25·c_1_32 + c_1_13·c_1_26·c_1_3 + c_1_13·c_1_27
       + c_1_14·c_1_36 + c_1_14·c_1_25·c_1_3 + c_1_15·c_1_2·c_1_34
       + c_1_15·c_1_22·c_1_33 + c_1_15·c_1_23·c_1_32 + c_1_15·c_1_24·c_1_3
       + c_1_15·c_1_25 + c_1_16·c_1_34 + c_1_16·c_1_2·c_1_33
       + c_1_16·c_1_22·c_1_32 + c_1_16·c_1_23·c_1_3 + c_1_16·c_1_24
       + c_1_18·c_1_2·c_1_3 + c_1_18·c_1_22 + c_1_0·c_1_24·c_1_35
       + c_1_0·c_1_25·c_1_34 + c_1_0·c_1_27·c_1_32 + c_1_0·c_1_28·c_1_3
       + c_1_0·c_1_1·c_1_23·c_1_35 + c_1_0·c_1_1·c_1_26·c_1_32
       + c_1_0·c_1_1·c_1_27·c_1_3 + c_1_0·c_1_12·c_1_22·c_1_35
       + c_1_0·c_1_12·c_1_24·c_1_33 + c_1_0·c_1_12·c_1_25·c_1_32
       + c_1_0·c_1_12·c_1_26·c_1_3 + c_1_0·c_1_13·c_1_26
       + c_1_0·c_1_14·c_1_22·c_1_33 + c_1_0·c_1_14·c_1_25 + c_1_0·c_1_15·c_1_24
       + c_1_0·c_1_16·c_1_23 + c_1_02·c_1_22·c_1_36 + c_1_02·c_1_23·c_1_35
       + c_1_02·c_1_27·c_1_3 + c_1_02·c_1_28 + c_1_02·c_1_1·c_1_22·c_1_35
       + c_1_02·c_1_1·c_1_24·c_1_33 + c_1_02·c_1_1·c_1_27
       + c_1_02·c_1_12·c_1_2·c_1_35 + c_1_02·c_1_13·c_1_25
       + c_1_02·c_1_14·c_1_2·c_1_33 + c_1_02·c_1_15·c_1_23
       + c_1_02·c_1_16·c_1_22 + c_1_03·c_1_25·c_1_32 + c_1_03·c_1_27
       + c_1_03·c_1_1·c_1_26 + c_1_03·c_1_12·c_1_25 + c_1_04·c_1_36
       + c_1_04·c_1_22·c_1_34 + c_1_04·c_1_24·c_1_32 + c_1_04·c_1_25·c_1_3
       + c_1_04·c_1_1·c_1_22·c_1_33 + c_1_04·c_1_1·c_1_23·c_1_32
       + c_1_04·c_1_1·c_1_24·c_1_3 + c_1_04·c_1_12·c_1_2·c_1_33
       + c_1_04·c_1_12·c_1_22·c_1_32 + c_1_04·c_1_12·c_1_23·c_1_3
       + c_1_04·c_1_12·c_1_24 + c_1_04·c_1_14·c_1_22 + c_1_05·c_1_23·c_1_32
       + c_1_05·c_1_25 + c_1_05·c_1_1·c_1_24 + c_1_05·c_1_12·c_1_23
       + c_1_06·c_1_22·c_1_32 + c_1_06·c_1_24 + c_1_06·c_1_1·c_1_23
       + c_1_06·c_1_12·c_1_22 + c_1_08·c_1_32 + c_1_08·c_1_2·c_1_3, an element of degree 10


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