David J. Green

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Cohomology of group number 1574 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 4.
• It is non-abelian.
• It has p-Rank 5.
• Its center has rank 3.
• It has a unique conjugacy class of maximal elementary abelian subgroups, which is of rank 5.

Structure of the cohomology ring

General information

• The cohomology ring is of dimension 5 and depth 3.
• The depth coincides with the Duflot bound.
• The Poincaré series is

  ( − 2) · (t5  −  3/2·t4  +  3/2·t3  −  1/2·t2  +  1/2)

  (t  +  1) · (t  −  1)5 · (t2  +  1)2

• The a-invariants are -∞,-∞,-∞,-5,-5,-5. 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 15 minimal generators of maximal degree 7:

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. c_2_7, a Duflot regular element of degree 2
6. a_3_9, a nilpotent element of degree 3
7. b_3_11, an element of degree 3
8. b_3_12, an element of degree 3
9. b_3_13, an element of degree 3
10. b_3_14, an element of degree 3
11. c_4_25, a Duflot regular element of degree 4
12. c_4_26, a Duflot regular element of degree 4
13. b_5_43, an element of degree 5
14. b_5_44, an element of degree 5
15. b_7_102, an element of degree 7

About the group

Ring generators

Ring relations

Completion information

Restriction maps

Back to groups of order 128

Ring relations

There are 57 minimal relations of maximal degree 14:

1. a_1_2² + a_1_1·a_1_2 + a_1_1²
2. a_1_2·b_1_0 + a_1_1·b_1_3
3. a_1_2·b_1_3 + a_1_2·b_1_0 + a_1_1·b_1_0 + a_1_1²
4. a_1_1·b_1_0²
5. a_1_1·b_1_0·b_1_3
6. b_1_0·a_3_9 + a_1_1·b_3_11 + a_1_1·a_3_9
7. b_1_3·a_3_9 + a_1_2·b_3_11 + a_1_2·a_3_9
8. a_1_1·b_3_12 + a_1_2·a_3_9 + c_2_7·a_1_1·b_1_3 + c_2_7·a_1_1·b_1_0 + c_2_7·a_1_1·a_1_2
      + c_2_7·a_1_1²
9. a_1_2·b_3_12 + a_1_2·a_3_9 + a_1_1·a_3_9 + c_2_7·a_1_1·b_1_0
10. b_1_3·a_3_9 + b_1_0·a_3_9 + a_1_1·b_3_13 + a_1_1·a_3_9 + c_2_7·a_1_1·b_1_3
       + c_2_7·a_1_1·b_1_0 + c_2_7·a_1_1²
11. b_1_0·a_3_9 + a_1_2·b_3_13 + a_1_2·a_3_9 + a_1_1·a_3_9 + c_2_7·a_1_1·b_1_0
       + c_2_7·a_1_1·a_1_2 + c_2_7·a_1_1²
12. b_1_3·a_3_9 + b_1_0·a_3_9 + a_1_1·b_3_14 + a_1_2·a_3_9 + a_1_1·a_3_9 + c_2_7·a_1_1·b_1_0
       + c_2_7·a_1_1·a_1_2 + c_2_7·a_1_1²
13. b_1_0·a_3_9 + a_1_2·b_3_14 + c_2_7·a_1_1·b_1_3 + c_2_7·a_1_1²
14. a_1_1·b_1_0·b_3_11 + a_1_1²·b_3_11
15. b_1_3²·b_3_12 + b_1_0·b_1_3·b_3_12 + b_1_0²·b_3_14 + b_1_0²·b_3_13 + a_1_1²·b_3_13
       + a_1_1²·b_3_11 + c_2_7·b_1_3³
16. b_3_12² + b_1_0³·b_3_12 + a_3_9·b_3_12 + a_3_9² + c_2_7·b_1_0³·b_1_3
       + c_2_7·a_1_1·b_3_13 + c_2_7·a_1_2·a_3_9 + c_2_7²·b_1_3² + c_2_7²·b_1_0²
       + c_2_7²·a_1_1·b_1_3 + c_2_7²·a_1_1·b_1_0 + c_2_7²·a_1_1·a_1_2 + c_2_7²·a_1_1²
17. a_3_9·b_3_14 + a_3_9·b_3_13 + a_3_9·b_3_12 + c_2_7·a_1_1·b_3_11
18. b_3_14² + b_3_13² + b_3_12² + b_1_0·b_1_3²·b_3_14 + b_1_0·b_1_3²·b_3_13
       + b_1_0²·b_1_3·b_3_14 + b_1_0²·b_1_3·b_3_13 + b_1_0³·b_3_12 + c_2_7·b_1_3⁴
       + c_2_7·b_1_0·b_1_3³ + c_2_7·b_1_0³·b_1_3 + c_2_7²·b_1_0² + c_2_7²·a_1_1²
19. b_3_12·b_3_14 + b_3_12·b_3_13 + b_3_12² + b_1_0³·b_3_14 + b_1_0³·b_3_13
       + b_1_0³·b_3_12 + c_2_7·b_1_3·b_3_14 + c_2_7·b_1_3·b_3_13 + c_2_7·b_1_3·b_3_12
       + c_2_7·b_1_0·b_3_14 + c_2_7·b_1_0·b_3_13 + c_2_7·b_1_0²·b_1_3²
       + c_2_7·b_1_0³·b_1_3 + c_2_7·a_1_2·a_3_9 + c_2_7²·b_1_0·b_1_3 + c_2_7²·b_1_0²
       + c_2_7²·a_1_1·a_1_2 + c_2_7²·a_1_1²
20. a_3_9² + c_4_26·a_1_1² + c_4_25·a_1_1·a_1_2 + c_2_7²·a_1_1·a_1_2 + c_2_7²·a_1_1²
21. b_3_12² + b_1_0³·b_3_12 + a_3_9·b_3_13 + a_3_9·b_3_12 + a_3_9·b_3_11 + a_3_9²
       + c_2_7·b_1_0³·b_1_3 + c_4_26·a_1_1·b_1_3 + c_4_25·a_1_1·b_1_3 + c_4_25·a_1_1·b_1_0
       + c_4_25·a_1_1·a_1_2 + c_4_25·a_1_1² + c_2_7·a_1_2·a_3_9 + c_2_7²·b_1_3²
       + c_2_7²·b_1_0² + c_2_7²·a_1_1·b_1_0 + c_2_7²·a_1_1²
22. b_3_13² + b_3_11² + b_1_3³·b_3_14 + b_1_3³·b_3_13 + b_1_3³·b_3_11
       + b_1_0·b_1_3²·b_3_14 + b_1_0·b_1_3²·b_3_13 + b_1_0²·b_1_3·b_3_14
       + b_1_0²·b_1_3·b_3_11 + b_1_0³·b_3_13 + b_1_0³·b_3_12 + b_1_0³·b_3_11
       + c_4_26·b_1_3² + c_4_25·b_1_0² + c_2_7·b_1_3⁴ + c_2_7·b_1_0·b_1_3³
       + c_2_7·b_1_0⁴ + c_4_25·a_1_1²
23. a_3_9·b_3_11 + a_3_9² + c_4_26·a_1_1·b_1_0 + c_4_25·a_1_1·b_1_3 + c_4_25·a_1_1²
       + c_2_7²·a_1_1·b_1_3 + c_2_7²·a_1_1·b_1_0 + c_2_7²·a_1_1²
24. b_3_11² + b_1_3³·b_3_14 + b_1_3³·b_3_13 + b_1_0·b_1_3²·b_3_13
       + b_1_0²·b_1_3·b_3_14 + b_1_0²·b_1_3·b_3_13 + b_1_0³·b_3_12 + a_3_9²
       + c_4_26·b_1_0² + c_4_25·b_1_3² + c_4_25·b_1_0² + c_2_7·b_1_3⁴ + c_2_7²·b_1_3²
25. b_3_12² + b_1_0³·b_3_12 + a_3_9² + c_2_7·b_1_0³·b_1_3 + c_4_26·a_1_1·a_1_2
       + c_4_25·a_1_1·a_1_2 + c_4_25·a_1_1² + c_2_7²·b_1_3² + c_2_7²·b_1_0²
       + c_2_7²·a_1_1·a_1_2 + c_2_7²·a_1_1²
26. b_3_12² + b_1_0³·b_3_12 + a_3_9·b_3_11 + a_1_1·b_5_43 + c_2_7·b_1_0³·b_1_3
       + c_2_7·a_1_1·b_3_11 + c_2_7²·b_1_3² + c_2_7²·b_1_0² + c_2_7²·a_1_1·b_1_0
       + c_2_7²·a_1_1·a_1_2
27. b_3_12² + b_1_0³·b_3_12 + a_3_9·b_3_13 + a_3_9·b_3_11 + a_1_2·b_5_43
       + c_2_7·b_1_0³·b_1_3 + c_2_7·a_1_1·b_3_11 + c_2_7·a_1_2·a_3_9 + c_2_7²·b_1_3²
       + c_2_7²·b_1_0² + c_2_7²·a_1_1·b_1_3 + c_2_7²·a_1_1·a_1_2
28. b_3_12² + b_1_0³·b_3_12 + a_3_9·b_3_12 + a_1_1·b_5_44 + a_3_9² + c_2_7·b_1_0³·b_1_3
       + c_2_7·a_1_1·b_3_11 + c_4_25·a_1_1·a_1_2 + c_2_7²·b_1_3² + c_2_7²·b_1_0²
       + c_2_7²·a_1_1·b_1_3 + c_2_7²·a_1_1²
29. b_3_13·b_3_14 + b_3_13² + b_3_12·b_3_14 + b_3_11·b_3_14 + b_3_11·b_3_13 + b_3_11·b_3_12
       + b_3_11² + b_1_3·b_5_44 + b_1_3·b_5_43 + b_1_3³·b_3_14 + b_1_3³·b_3_11 + b_1_0·b_5_43
       + b_1_0·b_1_3²·b_3_13 + b_1_0·b_1_3²·b_3_11 + b_1_0²·b_1_3·b_3_14
       + b_1_0²·b_1_3·b_3_13 + b_1_0²·b_1_3·b_3_11 + b_1_0³·b_3_14 + b_1_0³·b_3_12
       + b_1_0³·b_3_11 + a_3_9·b_3_12 + a_3_9·b_3_11 + c_4_26·b_1_0·b_1_3 + c_4_25·b_1_0·b_1_3
       + c_4_25·b_1_0² + c_2_7·b_1_3·b_3_14 + c_2_7·b_1_3⁴ + c_2_7·b_1_0·b_3_13
       + c_2_7·b_1_0·b_3_12 + c_2_7·b_1_0·b_1_3³ + c_2_7·b_1_0²·b_1_3² + c_2_7·b_1_0⁴
       + c_2_7·a_1_1·b_3_11 + c_4_25·a_1_1·a_1_2 + c_4_25·a_1_1² + c_2_7²·b_1_0²
       + c_2_7²·a_1_1·b_1_3 + c_2_7²·a_1_1·b_1_0 + c_2_7²·a_1_1·a_1_2
30. b_3_12·b_3_14 + b_3_12·b_3_13 + b_3_11·b_3_14 + b_3_11·b_3_13 + b_3_11·b_3_12
       + b_1_3·b_5_43 + b_1_0·b_5_44 + b_1_0·b_1_3²·b_3_11 + b_1_0²·b_1_3·b_3_14
       + b_1_0²·b_1_3·b_3_13 + b_1_0²·b_1_3·b_3_12 + b_1_0³·b_3_12 + a_3_9·b_3_13
       + a_3_9·b_3_12 + a_3_9² + c_4_26·b_1_0·b_1_3 + c_4_25·b_1_3² + c_2_7·b_1_3·b_3_14
       + c_2_7·b_1_3·b_3_13 + c_2_7·b_1_3·b_3_12 + c_2_7·b_1_3·b_3_11 + c_2_7·b_1_3⁴
       + c_2_7·b_1_0·b_3_13 + c_2_7·b_1_0³·b_1_3 + c_2_7·a_1_1·b_3_11 + c_4_25·a_1_1²
       + c_2_7²·b_1_0² + c_2_7²·a_1_1·b_1_3
31. b_3_12² + b_1_0³·b_3_12 + a_3_9·b_3_12 + a_1_2·b_5_44 + a_3_9² + c_2_7·b_1_0³·b_1_3
       + c_4_25·a_1_1·a_1_2 + c_4_25·a_1_1² + c_2_7·a_1_1·a_3_9 + c_2_7²·b_1_3²
       + c_2_7²·b_1_0² + c_2_7²·a_1_1·b_1_3 + c_2_7²·a_1_1·b_1_0 + c_2_7²·a_1_1·a_1_2
32. b_1_3·b_3_11·b_3_12 + b_1_0·b_3_12·b_3_13 + b_1_0·b_3_11·b_3_12 + b_1_0²·b_5_43
       + b_1_0³·b_1_3·b_3_13 + b_1_0⁴·b_3_14 + b_1_0⁴·b_3_11 + c_4_26·b_1_0³
       + c_4_25·b_1_0²·b_1_3 + c_2_7·b_1_3²·b_3_11 + c_2_7·b_1_0·b_1_3·b_3_13
       + c_2_7·b_1_0·b_1_3·b_3_12 + c_2_7·b_1_0²·b_3_13 + c_2_7·b_1_0²·b_3_12
       + c_2_7·b_1_0²·b_1_3³ + c_2_7·b_1_0³·b_1_3² + c_2_7·b_1_0⁴·b_1_3
       + c_2_7·b_1_0⁵ + c_4_26·a_1_1²·b_1_3 + c_4_26·a_1_1²·b_1_0 + c_4_25·a_1_1²·b_1_0
       + c_2_7·a_1_1²·b_3_13 + c_2_7²·b_1_0·b_1_3² + c_2_7²·b_1_0²·b_1_3
       + c_2_7²·b_1_0³ + c_2_7²·a_1_1²·b_1_3
33. b_1_3·b_3_12·b_3_13 + b_1_0·b_3_11·b_3_12 + b_1_0²·b_5_44 + b_1_0²·b_1_3²·b_3_13
       + b_1_0²·b_1_3²·b_3_11 + b_1_0³·b_1_3·b_3_13 + b_1_0³·b_1_3·b_3_12
       + b_1_0³·b_1_3·b_3_11 + b_1_0⁴·b_3_14 + b_1_0⁴·b_3_13 + b_1_0⁴·b_3_12
       + c_2_7·b_1_3²·b_3_13 + c_2_7·b_1_0·b_1_3·b_3_13 + c_2_7·b_1_0·b_1_3·b_3_11
       + c_2_7·b_1_0²·b_3_13 + c_2_7·b_1_0²·b_1_3³ + c_4_26·a_1_1²·b_1_3
       + c_4_26·a_1_1²·b_1_0 + c_4_25·a_1_1²·b_1_0 + c_2_7²·b_1_0³
34. a_3_9·b_5_43 + c_4_26·a_1_1·b_3_11 + c_4_25·a_1_1·b_3_13 + c_4_25·a_1_1·b_3_11
       + c_4_26·a_1_2·a_3_9 + c_4_26·a_1_1·a_3_9 + c_4_25·a_1_2·a_3_9
       + c_2_7·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7²·a_1_1·b_3_13
       + c_2_7²·a_1_1·b_3_11 + c_2_7·c_4_26·a_1_1² + c_2_7·c_4_25·a_1_1·a_1_2
       + c_2_7³·a_1_1·a_1_2 + c_2_7³·a_1_1²
35. a_3_9·b_5_44 + c_4_25·a_1_2·a_3_9 + c_2_7·c_4_26·a_1_1·b_1_3
       + c_2_7·c_4_25·a_1_1·b_1_3 + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7²·a_1_1·b_3_13
       + c_2_7²·a_1_1·b_3_11 + c_2_7·c_4_26·a_1_1·a_1_2 + c_2_7²·a_1_2·a_3_9
       + c_2_7²·a_1_1·a_3_9 + c_2_7³·a_1_1·b_1_3 + c_2_7³·a_1_1·a_1_2 + c_2_7³·a_1_1²
36. b_3_12·b_5_43 + b_1_0²·b_3_12·b_3_13 + b_1_0³·b_5_44 + b_1_0³·b_5_43
       + b_1_0³·b_1_3²·b_3_13 + b_1_0³·b_1_3²·b_3_11 + b_1_0⁴·b_1_3·b_3_12
       + b_1_0⁴·b_1_3·b_3_11 + b_1_0⁵·b_3_14 + b_1_0⁵·b_3_12 + b_1_0⁵·b_3_11
       + c_4_26·b_1_0·b_3_12 + c_4_26·b_1_0⁴ + c_4_25·b_1_3·b_3_12 + c_4_25·b_1_0³·b_1_3
       + c_2_7·b_3_11·b_3_12 + c_2_7·b_1_3·b_5_43 + c_2_7·b_1_0·b_5_43
       + c_2_7·b_1_0²·b_1_3·b_3_14 + c_2_7·b_1_0²·b_1_3·b_3_11 + c_2_7·b_1_0³·b_3_13
       + c_2_7·b_1_0³·b_3_12 + c_2_7·b_1_0³·b_3_11 + c_2_7·b_1_0⁵·b_1_3 + c_2_7·b_1_0⁶
       + c_4_26·a_1_2·a_3_9 + c_4_26·a_1_1·a_3_9 + c_4_25·a_1_2·a_3_9 + c_4_25·a_1_1·a_3_9
       + c_2_7·c_4_26·b_1_0·b_1_3 + c_2_7·c_4_26·b_1_0² + c_2_7·c_4_25·b_1_3²
       + c_2_7·c_4_25·b_1_0·b_1_3 + c_2_7²·b_1_3·b_3_12 + c_2_7²·b_1_3·b_3_11
       + c_2_7²·b_1_0·b_3_11 + c_2_7²·b_1_0²·b_1_3² + c_2_7²·b_1_0³·b_1_3
       + c_2_7²·b_1_0⁴ + c_2_7·c_4_26·a_1_1² + c_2_7·c_4_25·a_1_1² + c_2_7³·b_1_3²
       + c_2_7³·b_1_0·b_1_3
37. b_3_13·b_5_44 + b_3_12·b_5_43 + b_3_11·b_5_43 + b_1_3²·b_3_11·b_3_13 + b_1_3³·b_5_43
       + b_1_3⁵·b_3_11 + b_1_0·b_1_3²·b_5_44 + b_1_0·b_1_3²·b_5_43 + b_1_0·b_1_3⁴·b_3_13
       + b_1_0²·b_3_11·b_3_13 + b_1_0²·b_3_11·b_3_12 + b_1_0²·b_1_3³·b_3_14
       + b_1_0²·b_1_3³·b_3_11 + b_1_0³·b_5_43 + b_1_0³·b_1_3²·b_3_14
       + b_1_0³·b_1_3²·b_3_13 + b_1_0³·b_1_3²·b_3_11 + b_1_0⁴·b_1_3·b_3_14
       + b_1_0⁴·b_1_3·b_3_13 + b_1_0⁴·b_1_3·b_3_12 + b_1_0⁴·b_1_3·b_3_11 + b_1_0⁵·b_3_13
       + b_1_0⁵·b_3_11 + c_4_26·b_1_3·b_3_14 + c_4_26·b_1_3·b_3_13 + c_4_26·b_1_3·b_3_12
       + c_4_26·b_1_3⁴ + c_4_26·b_1_0·b_3_14 + c_4_26·b_1_0·b_3_13 + c_4_26·b_1_0·b_3_11
       + c_4_26·b_1_0³·b_1_3 + c_4_25·b_1_3·b_3_12 + c_4_25·b_1_3·b_3_11
       + c_4_25·b_1_0·b_3_14 + c_4_25·b_1_0·b_3_13 + c_4_25·b_1_0·b_3_12
       + c_4_25·b_1_0²·b_1_3² + c_4_25·b_1_0³·b_1_3 + c_4_25·b_1_0⁴
       + c_2_7·b_3_12·b_3_13 + c_2_7·b_3_11·b_3_13 + c_2_7·b_3_11·b_3_12 + c_2_7·b_1_3·b_5_43
       + c_2_7·b_1_3³·b_3_14 + c_2_7·b_1_3³·b_3_11 + c_2_7·b_1_0·b_1_3²·b_3_11
       + c_2_7·b_1_0²·b_1_3·b_3_13 + c_2_7·b_1_0²·b_1_3·b_3_11 + c_2_7·b_1_0³·b_3_12
       + c_2_7·b_1_0⁴·b_1_3² + c_2_7·b_1_0⁵·b_1_3 + c_2_7·b_1_0⁶ + c_4_26·a_1_1·b_3_13
       + c_4_26·a_1_1·b_3_11 + c_4_25·a_1_1·b_3_13 + c_4_26·a_1_1·a_3_9 + c_4_25·a_1_2·a_3_9
       + c_4_25·a_1_1·a_3_9 + c_2_7·c_4_26·b_1_3² + c_2_7·c_4_26·b_1_0²
       + c_2_7·c_4_25·b_1_3² + c_2_7²·b_1_3·b_3_13 + c_2_7²·b_1_3·b_3_12
       + c_2_7²·b_1_3⁴ + c_2_7²·b_1_0·b_3_14 + c_2_7²·b_1_0·b_3_13 + c_2_7²·b_1_0·b_3_12
       + c_2_7²·b_1_0·b_1_3³ + c_2_7²·b_1_0⁴ + c_2_7·c_4_26·a_1_1·b_1_3
       + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7²·a_1_1·b_3_13 + c_2_7·c_4_25·a_1_1·a_1_2
       + c_2_7³·b_1_3² + c_2_7³·b_1_0² + c_2_7³·a_1_1·b_1_0
38. b_3_14·b_5_43 + b_3_12·b_5_43 + b_3_11·b_5_44 + b_3_11·b_5_43 + b_1_3²·b_3_11·b_3_13
       + b_1_3⁵·b_3_14 + b_1_3⁵·b_3_13 + b_1_0·b_1_3⁴·b_3_13 + b_1_0·b_1_3⁴·b_3_11
       + b_1_0²·b_3_11·b_3_12 + b_1_0²·b_1_3·b_5_44 + b_1_0²·b_1_3·b_5_43
       + b_1_0²·b_1_3³·b_3_14 + b_1_0³·b_5_43 + b_1_0³·b_1_3²·b_3_14
       + b_1_0⁴·b_1_3·b_3_12 + b_1_0⁴·b_1_3·b_3_11 + b_1_0⁵·b_3_12 + c_4_26·b_1_0·b_3_13
       + c_4_26·b_1_0·b_3_11 + c_4_26·b_1_0·b_1_3³ + c_4_26·b_1_0³·b_1_3 + c_4_26·b_1_0⁴
       + c_4_25·b_1_3·b_3_13 + c_4_25·b_1_3·b_3_11 + c_4_25·b_1_3⁴ + c_4_25·b_1_0⁴
       + c_2_7·b_3_11·b_3_12 + c_2_7·b_1_3·b_5_43 + c_2_7·b_1_3³·b_3_14
       + c_2_7·b_1_3³·b_3_11 + c_2_7·b_1_0·b_1_3²·b_3_14 + c_2_7·b_1_0·b_1_3⁵
       + c_2_7·b_1_0²·b_1_3·b_3_12 + c_2_7·b_1_0²·b_1_3·b_3_11 + c_2_7·b_1_0²·b_1_3⁴
       + c_2_7·b_1_0³·b_3_13 + c_2_7·b_1_0⁵·b_1_3 + c_4_26·a_1_1·b_3_13
       + c_4_25·a_1_1·b_3_11 + c_4_25·a_1_2·a_3_9 + c_2_7·c_4_26·b_1_0·b_1_3
       + c_2_7·c_4_26·b_1_0² + c_2_7·c_4_25·b_1_3² + c_2_7·c_4_25·b_1_0·b_1_3
       + c_2_7²·b_1_3·b_3_13 + c_2_7²·b_1_3·b_3_11 + c_2_7²·b_1_3⁴ + c_2_7²·b_1_0·b_3_14
       + c_2_7²·b_1_0·b_3_13 + c_2_7²·b_1_0·b_3_12 + c_2_7²·b_1_0·b_3_11
       + c_2_7²·b_1_0²·b_1_3² + c_2_7·c_4_26·a_1_1·b_1_3 + c_2_7·c_4_25·a_1_1·b_1_3
       + c_2_7·c_4_26·a_1_1² + c_2_7³·b_1_3² + c_2_7³·b_1_0·b_1_3 + c_2_7³·b_1_0²
       + c_2_7³·a_1_1·b_1_3 + c_2_7³·a_1_1·b_1_0
39. b_3_14·b_5_44 + b_3_12·b_5_43 + b_3_11·b_5_43 + b_1_3²·b_3_11·b_3_13 + b_1_3³·b_5_44
       + b_1_3⁵·b_3_13 + b_1_0·b_1_3²·b_5_44 + b_1_0·b_1_3²·b_5_43 + b_1_0·b_1_3⁴·b_3_13
       + b_1_0·b_1_3⁴·b_3_11 + b_1_0²·b_3_12·b_3_13 + b_1_0²·b_3_11·b_3_13
       + b_1_0²·b_1_3³·b_3_14 + b_1_0²·b_1_3³·b_3_13 + b_1_0³·b_1_3²·b_3_14
       + b_1_0³·b_1_3²·b_3_13 + b_1_0³·b_1_3²·b_3_11 + b_1_0⁴·b_1_3·b_3_14
       + b_1_0⁴·b_1_3·b_3_12 + b_1_0⁴·b_1_3·b_3_11 + c_4_26·b_1_3·b_3_14
       + c_4_26·b_1_3·b_3_13 + c_4_26·b_1_3·b_3_12 + c_4_26·b_1_3⁴ + c_4_26·b_1_0·b_3_14
       + c_4_26·b_1_0·b_3_13 + c_4_26·b_1_0·b_3_11 + c_4_26·b_1_0·b_1_3³
       + c_4_26·b_1_0³·b_1_3 + c_4_26·b_1_0⁴ + c_4_25·b_1_3·b_3_12 + c_4_25·b_1_3·b_3_11
       + c_4_25·b_1_3⁴ + c_4_25·b_1_0·b_3_14 + c_4_25·b_1_0·b_3_13 + c_4_25·b_1_0·b_3_12
       + c_4_25·b_1_0²·b_1_3² + c_4_25·b_1_0⁴ + c_2_7·b_3_11·b_3_13 + c_2_7·b_1_0·b_5_43
       + c_2_7·b_1_0·b_1_3²·b_3_13 + c_2_7·b_1_0·b_1_3²·b_3_11
       + c_2_7·b_1_0²·b_1_3·b_3_14 + c_2_7·b_1_0²·b_1_3·b_3_13
       + c_2_7·b_1_0²·b_1_3·b_3_12 + c_2_7·b_1_0³·b_3_14 + c_2_7·b_1_0³·b_3_13
       + c_2_7·b_1_0³·b_3_11 + c_2_7·b_1_0⁴·b_1_3² + c_4_26·a_1_1·b_3_13
       + c_4_26·a_1_1·b_3_11 + c_4_25·a_1_1·b_3_13 + c_4_26·a_1_1·a_3_9
       + c_2_7·c_4_26·b_1_3² + c_2_7·c_4_26·b_1_0·b_1_3 + c_2_7·c_4_25·b_1_0·b_1_3
       + c_2_7²·b_1_3·b_3_13 + c_2_7²·b_1_3·b_3_11 + c_2_7²·b_1_3⁴ + c_2_7²·b_1_0·b_3_14
       + c_2_7²·b_1_0·b_1_3³ + c_2_7²·b_1_0⁴ + c_2_7·c_4_26·a_1_1·b_1_3
       + c_2_7·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_25·a_1_1·b_1_3 + c_2_7·c_4_25·a_1_1·b_1_0
       + c_2_7²·a_1_1·b_3_11 + c_2_7·c_4_26·a_1_1·a_1_2 + c_2_7³·b_1_3²
       + c_2_7³·a_1_1·b_1_3 + c_2_7³·a_1_1²
40. b_3_14·b_5_43 + b_3_13·b_5_43 + b_3_12·b_5_44 + b_1_0·b_1_3²·b_5_44
       + b_1_0·b_1_3²·b_5_43 + b_1_0·b_1_3⁴·b_3_13 + b_1_0·b_1_3⁴·b_3_11
       + b_1_0²·b_3_11·b_3_12 + b_1_0²·b_1_3·b_5_44 + b_1_0²·b_1_3³·b_3_13
       + b_1_0³·b_1_3²·b_3_14 + b_1_0³·b_1_3²·b_3_13 + b_1_0⁴·b_1_3·b_3_14
       + b_1_0⁴·b_1_3·b_3_13 + b_1_0⁴·b_1_3·b_3_12 + b_1_0⁵·b_3_12 + c_4_26·b_1_0·b_3_14
       + c_4_26·b_1_0·b_3_13 + c_4_26·b_1_0²·b_1_3² + c_4_25·b_1_3·b_3_14
       + c_4_25·b_1_3·b_3_13 + c_4_25·b_1_0·b_1_3³ + c_2_7·b_3_12·b_3_13
       + c_2_7·b_1_3·b_5_44 + c_2_7·b_1_3³·b_3_14 + c_2_7·b_1_3³·b_3_13
       + c_2_7·b_1_3³·b_3_11 + c_2_7·b_1_0·b_1_3²·b_3_14 + c_2_7·b_1_0·b_1_3²·b_3_13
       + c_2_7·b_1_0·b_1_3²·b_3_11 + c_2_7·b_1_0²·b_1_3·b_3_13
       + c_2_7·b_1_0²·b_1_3·b_3_11 + c_2_7·b_1_0³·b_3_14 + c_2_7·b_1_0³·b_3_13
       + c_2_7·b_1_0³·b_1_3³ + c_2_7·b_1_0⁴·b_1_3² + c_2_7·b_1_0⁵·b_1_3
       + c_4_26·a_1_2·a_3_9 + c_4_26·a_1_1·a_3_9 + c_2_7²·b_1_3·b_3_14 + c_2_7²·b_1_3·b_3_11
       + c_2_7²·b_1_0·b_3_14 + c_2_7²·b_1_0·b_3_13 + c_2_7²·b_1_0·b_3_12
       + c_2_7²·b_1_0·b_3_11 + c_2_7²·b_1_0·b_1_3³ + c_2_7²·b_1_0³·b_1_3
       + c_2_7²·b_1_0⁴ + c_2_7·c_4_26·a_1_1·b_1_3 + c_2_7·c_4_26·a_1_1·b_1_0
       + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7²·a_1_1·b_3_11 + c_2_7·c_4_26·a_1_1²
       + c_2_7·c_4_25·a_1_1·a_1_2 + c_2_7²·a_1_2·a_3_9 + c_2_7³·a_1_1·a_1_2
       + c_2_7³·a_1_1²
41. b_3_14·b_5_43 + b_3_13·b_5_43 + b_3_12·b_5_43 + b_1_0·b_1_3²·b_5_44
       + b_1_0·b_1_3²·b_5_43 + b_1_0·b_1_3⁴·b_3_13 + b_1_0·b_1_3⁴·b_3_11
       + b_1_0²·b_1_3·b_5_43 + b_1_0²·b_1_3³·b_3_11 + b_1_0³·b_1_3²·b_3_14
       + b_1_0³·b_1_3²·b_3_13 + b_1_0³·b_1_3²·b_3_11 + b_1_0⁴·b_1_3·b_3_14
       + b_1_0⁴·b_1_3·b_3_11 + b_1_0⁵·b_3_14 + b_1_0⁵·b_3_13 + c_4_26·b_1_0·b_3_14
       + c_4_26·b_1_0·b_3_13 + c_4_26·b_1_0·b_3_12 + c_4_26·b_1_0²·b_1_3²
       + c_4_26·b_1_0³·b_1_3 + c_4_25·b_1_3·b_3_14 + c_4_25·b_1_3·b_3_13
       + c_4_25·b_1_3·b_3_12 + c_4_25·b_1_0·b_1_3³ + c_4_25·b_1_0²·b_1_3²
       + c_2_7·b_1_3·b_5_43 + c_2_7·b_1_3³·b_3_14 + c_2_7·b_1_3³·b_3_13
       + c_2_7·b_1_3³·b_3_11 + c_2_7·b_1_0·b_5_44 + c_2_7·b_1_0·b_5_43
       + c_2_7·b_1_0·b_1_3²·b_3_14 + c_2_7·b_1_0·b_1_3²·b_3_13
       + c_2_7·b_1_0·b_1_3²·b_3_11 + c_2_7·b_1_0²·b_1_3·b_3_13
       + c_2_7·b_1_0²·b_1_3·b_3_11 + c_2_7·b_1_0³·b_3_13 + c_2_7·b_1_0³·b_3_12
       + c_2_7·b_1_0³·b_3_11 + c_2_7·b_1_0³·b_1_3³ + c_2_7·b_1_0⁴·b_1_3²
       + c_2_7·b_1_0⁵·b_1_3 + c_2_7·c_4_26·b_1_0·b_1_3 + c_2_7·c_4_26·b_1_0²
       + c_2_7·c_4_25·b_1_3² + c_2_7·c_4_25·b_1_0·b_1_3 + c_2_7²·b_1_3·b_3_14
       + c_2_7²·b_1_3·b_3_13 + c_2_7²·b_1_3·b_3_12 + c_2_7²·b_1_3·b_3_11
       + c_2_7²·b_1_0·b_3_14 + c_2_7²·b_1_0·b_3_11 + c_2_7²·b_1_0·b_1_3³
       + c_2_7²·b_1_0²·b_1_3² + c_2_7²·b_1_0³·b_1_3 + c_2_7²·b_1_0⁴
       + c_2_7·c_4_26·a_1_1·b_1_3 + c_2_7·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_25·a_1_1·b_1_0
       + c_2_7²·a_1_1·b_3_11 + c_2_7·c_4_26·a_1_1·a_1_2 + c_2_7·c_4_26·a_1_1²
       + c_2_7·c_4_25·a_1_1·a_1_2 + c_2_7·c_4_25·a_1_1² + c_2_7³·b_1_3²
       + c_2_7³·b_1_0²
42. a_1_1·b_7_102 + c_4_26·a_1_1·b_3_11 + c_4_25·a_1_1·b_3_13 + c_4_26·a_1_2·a_3_9
       + c_4_25·a_1_2·a_3_9 + c_2_7·c_4_26·a_1_1·b_1_3 + c_2_7·c_4_26·a_1_1·b_1_0
       + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7²·a_1_1·b_3_13 + c_2_7·c_4_25·a_1_1²
       + c_2_7²·a_1_2·a_3_9 + c_2_7²·a_1_1·a_3_9 + c_2_7³·a_1_1²
43. b_3_14·b_5_43 + b_3_12·b_5_44 + b_3_11·b_5_43 + b_1_3·b_7_102 + b_1_3²·b_3_11·b_3_13
       + b_1_3⁵·b_3_14 + b_1_3⁵·b_3_13 + b_1_0·b_1_3²·b_5_44 + b_1_0·b_1_3⁴·b_3_11
       + b_1_0²·b_3_12·b_3_13 + b_1_0²·b_1_3³·b_3_13 + b_1_0³·b_1_3²·b_3_14
       + b_1_0³·b_1_3²·b_3_13 + b_1_0³·b_1_3²·b_3_11 + b_1_0⁴·b_1_3·b_3_14
       + b_1_0⁴·b_1_3·b_3_12 + b_1_0⁴·b_1_3·b_3_11 + b_1_0⁵·b_3_13 + b_1_0⁵·b_3_12
       + b_1_0⁵·b_3_11 + c_4_26·b_1_3·b_3_12 + c_4_26·b_1_3·b_3_11 + c_4_26·b_1_0·b_3_14
       + c_4_26·b_1_0·b_3_11 + c_4_26·b_1_0·b_1_3³ + c_4_25·b_1_3·b_3_14
       + c_4_25·b_1_3·b_3_13 + c_4_25·b_1_3·b_3_12 + c_4_25·b_1_3·b_3_11 + c_4_25·b_1_0·b_3_14
       + c_4_25·b_1_0·b_3_13 + c_4_25·b_1_0·b_3_12 + c_4_25·b_1_0·b_1_3³
       + c_4_25·b_1_0²·b_1_3² + c_4_25·b_1_0³·b_1_3 + c_4_25·b_1_0⁴
       + c_2_7·b_3_12·b_3_13 + c_2_7·b_3_11·b_3_13 + c_2_7·b_1_3·b_5_43 + c_2_7·b_1_3³·b_3_14
       + c_2_7·b_1_3³·b_3_13 + c_2_7·b_1_0·b_5_43 + c_2_7·b_1_0²·b_1_3·b_3_13
       + c_2_7·b_1_0²·b_1_3·b_3_11 + c_2_7·b_1_0²·b_1_3⁴ + c_2_7·b_1_0³·b_3_13
       + c_2_7·b_1_0³·b_3_12 + c_2_7·b_1_0³·b_3_11 + c_2_7·b_1_0³·b_1_3³ + c_2_7·b_1_0⁶
       + c_4_26·a_1_1·b_3_13 + c_4_25·a_1_1·b_3_13 + c_4_26·a_1_2·a_3_9 + c_4_26·a_1_1·a_3_9
       + c_2_7·c_4_26·b_1_0·b_1_3 + c_2_7·c_4_25·b_1_3² + c_2_7·c_4_25·b_1_0·b_1_3
       + c_2_7²·b_1_3·b_3_14 + c_2_7²·b_1_3·b_3_13 + c_2_7²·b_1_0²·b_1_3²
       + c_2_7·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_25·a_1_1·b_1_3 + c_2_7·c_4_25·a_1_1·b_1_0
       + c_2_7²·a_1_1·b_3_13 + c_2_7·c_4_26·a_1_1·a_1_2 + c_2_7·c_4_25·a_1_1·a_1_2
       + c_2_7·c_4_25·a_1_1² + c_2_7²·a_1_2·a_3_9 + c_2_7³·b_1_0² + c_2_7³·a_1_1·b_1_3
       + c_2_7³·a_1_1·b_1_0
44. b_3_14·b_5_43 + b_3_13·b_5_43 + b_3_11·b_5_43 + b_1_0·b_7_102 + b_1_0·b_1_3²·b_5_43
       + b_1_0²·b_3_11·b_3_12 + b_1_0²·b_1_3·b_5_43 + b_1_0²·b_1_3³·b_3_14
       + b_1_0²·b_1_3³·b_3_13 + b_1_0²·b_1_3³·b_3_11 + b_1_0³·b_1_3²·b_3_11
       + b_1_0⁴·b_1_3·b_3_11 + b_1_0⁵·b_3_14 + b_1_0⁵·b_3_11 + c_4_26·b_1_0·b_3_14
       + c_4_26·b_1_0·b_3_13 + c_4_26·b_1_0·b_3_12 + c_4_26·b_1_0²·b_1_3²
       + c_4_25·b_1_3·b_3_12 + c_4_25·b_1_3·b_3_11 + c_4_25·b_1_0·b_3_14
       + c_4_25·b_1_0·b_1_3³ + c_4_25·b_1_0³·b_1_3 + c_2_7·b_3_11·b_3_12 + c_2_7·b_1_3⁶
       + c_2_7·b_1_0·b_1_3²·b_3_13 + c_2_7·b_1_0·b_1_3²·b_3_11 + c_2_7·b_1_0·b_1_3⁵
       + c_2_7·b_1_0²·b_1_3·b_3_12 + c_2_7·b_1_0²·b_1_3⁴ + c_2_7·b_1_0³·b_3_14
       + c_2_7·b_1_0³·b_3_13 + c_2_7·b_1_0³·b_3_12 + c_2_7·b_1_0³·b_3_11
       + c_2_7·b_1_0³·b_1_3³ + c_2_7·b_1_0⁵·b_1_3 + c_2_7·b_1_0⁶ + c_4_26·a_1_1·b_3_13
       + c_4_26·a_1_1·b_3_11 + c_4_25·a_1_1·b_3_13 + c_4_25·a_1_1·b_3_11 + c_4_26·a_1_1·a_3_9
       + c_4_25·a_1_1·a_3_9 + c_2_7·c_4_26·b_1_0² + c_2_7·c_4_25·b_1_3²
       + c_2_7²·b_1_3·b_3_12 + c_2_7²·b_1_3·b_3_11 + c_2_7²·b_1_3⁴ + c_2_7²·b_1_0·b_3_13
       + c_2_7²·b_1_0·b_3_12 + c_2_7²·b_1_0·b_3_11 + c_2_7²·b_1_0·b_1_3³
       + c_2_7²·b_1_0²·b_1_3² + c_2_7²·b_1_0⁴ + c_2_7·c_4_26·a_1_1·b_1_3
       + c_2_7·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7·c_4_26·a_1_1·a_1_2
       + c_2_7·c_4_25·a_1_1² + c_2_7²·a_1_1·a_3_9 + c_2_7³·b_1_3² + c_2_7³·b_1_0²
       + c_2_7³·a_1_1·a_1_2 + c_2_7³·a_1_1²
45. a_1_2·b_7_102 + c_4_26·a_1_1·b_3_13 + c_4_26·a_1_1·b_3_11 + c_4_25·a_1_1·b_3_11
       + c_4_26·a_1_1·a_3_9 + c_4_25·a_1_1·a_3_9 + c_2_7·c_4_26·a_1_1·b_1_3
       + c_2_7·c_4_25·a_1_1·b_1_3 + c_2_7·c_4_25·a_1_1·b_1_0 + c_2_7²·a_1_1·b_3_11
       + c_2_7·c_4_25·a_1_1² + c_2_7²·a_1_2·a_3_9 + c_2_7²·a_1_1·a_3_9
       + c_2_7³·a_1_1·b_1_0 + c_2_7³·a_1_1²
46. b_3_11·b_3_12·b_3_13 + b_1_0²·b_7_102 + b_1_0²·b_1_3·b_3_11·b_3_13
       + b_1_0²·b_1_3⁴·b_3_14 + b_1_0²·b_1_3⁴·b_3_13 + b_1_0³·b_3_12·b_3_13
       + b_1_0³·b_3_11·b_3_13 + b_1_0³·b_3_11·b_3_12 + b_1_0³·b_1_3·b_5_44
       + b_1_0³·b_1_3³·b_3_14 + b_1_0³·b_1_3³·b_3_13 + b_1_0⁴·b_5_44 + b_1_0⁴·b_5_43
       + b_1_0⁴·b_1_3²·b_3_14 + b_1_0⁵·b_1_3·b_3_14 + b_1_0⁵·b_1_3·b_3_11 + b_1_0⁶·b_3_12
       + c_4_26·b_1_0·b_1_3·b_3_12 + c_4_26·b_1_0²·b_3_11 + c_4_26·b_1_0⁴·b_1_3
       + c_4_25·b_1_0²·b_3_14 + c_4_25·b_1_0²·b_3_12 + c_4_25·b_1_0⁵
       + c_2_7·b_1_3·b_3_11·b_3_13 + c_2_7·b_1_0·b_3_12·b_3_13 + c_2_7·b_1_0·b_3_11·b_3_13
       + c_2_7·b_1_0²·b_5_44 + c_2_7·b_1_0²·b_5_43 + c_2_7·b_1_0²·b_1_3²·b_3_14
       + c_2_7·b_1_0²·b_1_3⁵ + c_2_7·b_1_0³·b_1_3·b_3_14 + c_2_7·b_1_0³·b_1_3·b_3_13
       + c_2_7·b_1_0³·b_1_3·b_3_11 + c_2_7·b_1_0³·b_1_3⁴ + c_2_7·b_1_0⁴·b_3_14
       + c_2_7·b_1_0⁴·b_3_12 + c_2_7·b_1_0⁴·b_3_11 + c_4_26·a_1_1²·b_3_13
       + c_4_25·a_1_1²·b_3_13 + c_4_25·a_1_1²·b_3_11 + c_2_7·c_4_26·b_1_0·b_1_3²
       + c_2_7·c_4_25·b_1_0²·b_1_3 + c_2_7²·b_1_0·b_1_3·b_3_13 + c_2_7²·b_1_0²·b_3_14
       + c_2_7²·b_1_0²·b_1_3³ + c_2_7²·b_1_0⁴·b_1_3 + c_2_7²·b_1_0⁵
       + c_2_7·c_4_26·a_1_1²·b_1_3 + c_2_7·c_4_26·a_1_1²·b_1_0
       + c_2_7·c_4_25·a_1_1²·b_1_3 + c_2_7²·a_1_1²·b_3_11 + c_2_7³·b_1_0³
       + c_2_7³·a_1_1²·b_1_3
47. b_5_44² + b_5_43² + b_1_3⁷·b_3_14 + b_1_3⁷·b_3_13 + b_1_3⁷·b_3_11
       + b_1_0·b_1_3⁴·b_5_43 + b_1_0·b_1_3⁶·b_3_14 + b_1_0·b_1_3⁶·b_3_13
       + b_1_0²·b_1_3³·b_5_44 + b_1_0²·b_1_3³·b_5_43 + b_1_0²·b_1_3⁵·b_3_14
       + b_1_0³·b_1_3⁴·b_3_13 + b_1_0³·b_1_3⁴·b_3_11 + b_1_0⁴·b_3_12·b_3_13
       + b_1_0⁴·b_3_11·b_3_12 + b_1_0⁴·b_1_3·b_5_43 + b_1_0⁴·b_1_3³·b_3_14
       + b_1_0⁵·b_1_3²·b_3_13 + b_1_0⁶·b_1_3·b_3_14 + b_1_0⁶·b_1_3·b_3_13 + b_1_0⁷·b_3_13
       + b_1_0⁷·b_3_11 + c_4_26·b_1_3⁶ + c_4_26·b_1_0·b_1_3²·b_3_14
       + c_4_26·b_1_0·b_1_3²·b_3_13 + c_4_26·b_1_0²·b_1_3·b_3_14
       + c_4_26·b_1_0²·b_1_3·b_3_13 + c_4_26·b_1_0²·b_1_3⁴ + c_4_26·b_1_0³·b_3_12
       + c_4_26·b_1_0³·b_1_3³ + c_4_26·b_1_0⁵·b_1_3 + c_4_25·b_1_0·b_1_3⁵
       + c_4_25·b_1_0²·b_1_3⁴ + c_4_25·b_1_0⁶ + c_2_7·b_1_3⁵·b_3_14
       + c_2_7·b_1_3⁵·b_3_13 + c_2_7·b_1_3⁵·b_3_11 + c_2_7·b_1_3⁸
       + c_2_7·b_1_0·b_1_3⁴·b_3_14 + c_2_7·b_1_0·b_1_3⁴·b_3_13
       + c_2_7·b_1_0·b_1_3⁴·b_3_11 + c_2_7·b_1_0·b_1_3⁷ + c_2_7·b_1_0²·b_1_3⁶
       + c_2_7·b_1_0³·b_1_3²·b_3_14 + c_2_7·b_1_0³·b_1_3²·b_3_13
       + c_2_7·b_1_0³·b_1_3²·b_3_11 + c_2_7·b_1_0³·b_1_3⁵ + c_2_7·b_1_0⁴·b_1_3·b_3_12
       + c_2_7·b_1_0⁴·b_1_3·b_3_11 + c_2_7·b_1_0⁴·b_1_3⁴ + c_2_7·b_1_0⁵·b_3_12
       + c_2_7·b_1_0⁵·b_1_3³ + c_2_7·b_1_0⁶·b_1_3² + c_2_7·b_1_0⁸ + c_4_26²·b_1_0²
       + c_4_25²·b_1_3² + c_2_7·c_4_26·b_1_3⁴ + c_2_7·c_4_26·b_1_0·b_1_3³
       + c_2_7·c_4_26·b_1_0³·b_1_3 + c_2_7²·b_1_3³·b_3_11 + c_2_7²·b_1_3⁶
       + c_2_7²·b_1_0·b_1_3²·b_3_14 + c_2_7²·b_1_0²·b_1_3·b_3_13
       + c_2_7²·b_1_0²·b_1_3·b_3_11 + c_2_7²·b_1_0²·b_1_3⁴ + c_2_7²·b_1_0³·b_3_13
       + c_2_7²·b_1_0³·b_3_12 + c_2_7²·b_1_0³·b_3_11 + c_2_7²·b_1_0³·b_1_3³
       + c_2_7²·b_1_0⁴·b_1_3² + c_4_26²·a_1_1·a_1_2 + c_4_26²·a_1_1²
       + c_2_7²·c_4_26·b_1_3² + c_2_7²·c_4_26·b_1_0² + c_2_7²·c_4_25·b_1_3²
       + c_2_7³·b_1_0·b_1_3³ + c_2_7³·b_1_0³·b_1_3 + c_2_7³·b_1_0⁴
       + c_2_7²·c_4_26·a_1_1·a_1_2 + c_2_7²·c_4_25·a_1_1·a_1_2 + c_2_7⁴·b_1_0²
       + c_2_7⁴·a_1_1·a_1_2
48. b_5_44² + b_1_3⁷·b_3_14 + b_1_3⁷·b_3_13 + b_1_3⁷·b_3_11 + b_1_0·b_1_3⁴·b_5_43
       + b_1_0·b_1_3⁶·b_3_14 + b_1_0·b_1_3⁶·b_3_13 + b_1_0²·b_1_3³·b_5_43
       + b_1_0³·b_1_3⁴·b_3_14 + b_1_0⁴·b_3_12·b_3_13 + b_1_0⁴·b_1_3·b_5_43
       + b_1_0⁴·b_1_3³·b_3_14 + b_1_0⁴·b_1_3³·b_3_13 + b_1_0⁵·b_5_44 + b_1_0⁵·b_5_43
       + b_1_0⁵·b_1_3²·b_3_13 + b_1_0⁶·b_1_3·b_3_13 + b_1_0⁷·b_3_14 + b_1_0⁷·b_3_12
       + b_1_0⁷·b_3_11 + c_4_26·b_1_3⁶ + c_4_26·b_1_0·b_1_3²·b_3_14
       + c_4_26·b_1_0·b_1_3²·b_3_13 + c_4_26·b_1_0²·b_1_3·b_3_14
       + c_4_26·b_1_0²·b_1_3·b_3_13 + c_4_26·b_1_0³·b_3_12 + c_4_26·b_1_0³·b_1_3³
       + c_4_26·b_1_0⁵·b_1_3 + c_4_26·b_1_0⁶ + c_4_25·b_1_0·b_1_3²·b_3_14
       + c_4_25·b_1_0·b_1_3²·b_3_13 + c_4_25·b_1_0·b_1_3⁵ + c_4_25·b_1_0²·b_1_3·b_3_14
       + c_4_25·b_1_0²·b_1_3·b_3_13 + c_4_25·b_1_0³·b_3_12 + c_4_25·b_1_0⁵·b_1_3
       + c_2_7·b_1_3⁵·b_3_11 + c_2_7·b_1_3⁸ + c_2_7·b_1_0·b_1_3⁴·b_3_14
       + c_2_7·b_1_0·b_1_3⁴·b_3_11 + c_2_7·b_1_0²·b_1_3³·b_3_13
       + c_2_7·b_1_0³·b_1_3²·b_3_14 + c_2_7·b_1_0³·b_1_3²·b_3_13
       + c_2_7·b_1_0³·b_1_3²·b_3_11 + c_2_7·b_1_0³·b_1_3⁵ + c_2_7·b_1_0⁴·b_1_3·b_3_14
       + c_2_7·b_1_0⁴·b_1_3·b_3_11 + c_2_7·b_1_0⁵·b_3_14 + c_2_7·b_1_0⁵·b_3_13
       + c_2_7·b_1_0⁵·b_3_12 + c_2_7·b_1_0⁶·b_1_3² + c_2_7·b_1_0⁸
       + c_2_7·c_4_26·b_1_3⁴ + c_2_7·c_4_26·b_1_0·b_1_3³ + c_2_7·c_4_26·b_1_0³·b_1_3
       + c_2_7·c_4_25·b_1_3⁴ + c_2_7·c_4_25·b_1_0·b_1_3³ + c_2_7·c_4_25·b_1_0³·b_1_3
       + c_2_7²·b_1_3³·b_3_14 + c_2_7²·b_1_3³·b_3_13 + c_2_7²·b_1_3³·b_3_11
       + c_2_7²·b_1_3⁶ + c_2_7²·b_1_0²·b_1_3·b_3_13 + c_2_7²·b_1_0²·b_1_3·b_3_11
       + c_2_7²·b_1_0³·b_3_13 + c_2_7²·b_1_0³·b_3_12 + c_2_7²·b_1_0³·b_3_11
       + c_2_7²·b_1_0³·b_1_3³ + c_2_7²·b_1_0⁴·b_1_3² + c_4_25²·a_1_1·a_1_2
       + c_4_25²·a_1_1² + c_2_7²·c_4_26·b_1_3² + c_2_7²·c_4_25·b_1_0²
       + c_2_7³·b_1_0⁴ + c_2_7²·c_4_26·a_1_1·a_1_2 + c_2_7²·c_4_26·a_1_1²
       + c_2_7⁴·b_1_0² + c_2_7⁴·a_1_1²
49. a_3_9·b_7_102 + c_4_26²·a_1_1·b_1_0 + c_4_25·c_4_26·a_1_1·b_1_0
       + c_4_25²·a_1_1·b_1_0 + c_2_7·c_4_26·a_1_1·b_3_13 + c_2_7·c_4_25·a_1_1·b_3_13
       + c_2_7·c_4_25·a_1_1·b_3_11 + c_4_26²·a_1_1·a_1_2 + c_4_26²·a_1_1²
       + c_4_25·c_4_26·a_1_1·a_1_2 + c_4_25·c_4_26·a_1_1² + c_4_25²·a_1_1·a_1_2
       + c_4_25²·a_1_1² + c_2_7·c_4_26·a_1_1·a_3_9 + c_2_7²·c_4_26·a_1_1·b_1_3
       + c_2_7²·c_4_26·a_1_1·b_1_0 + c_2_7³·a_1_1·b_3_13 + c_2_7³·a_1_1·a_3_9
       + c_2_7⁴·a_1_1·b_1_0 + c_2_7⁴·a_1_1·a_1_2
50. b_5_44² + b_5_43·b_5_44 + b_1_3³·b_7_102 + b_1_3⁴·b_3_11·b_3_13 + b_1_3⁷·b_3_11
       + b_1_0·b_1_3⁴·b_5_43 + b_1_0·b_1_3⁶·b_3_14 + b_1_0²·b_1_3·b_7_102
       + b_1_0²·b_1_3³·b_5_43 + b_1_0³·b_1_3·b_3_11·b_3_13 + b_1_0³·b_1_3⁴·b_3_13
       + b_1_0³·b_1_3⁴·b_3_11 + b_1_0⁴·b_1_3³·b_3_13 + b_1_0⁵·b_1_3²·b_3_14
       + c_4_26·b_1_3³·b_3_11 + c_4_26·b_1_3⁶ + c_4_26·b_1_0·b_5_44 + c_4_26·b_1_0·b_1_3⁵
       + c_4_26·b_1_0²·b_1_3·b_3_12 + c_4_26·b_1_0²·b_1_3·b_3_11 + c_4_26·b_1_0²·b_1_3⁴
       + c_4_26·b_1_0³·b_3_12 + c_4_26·b_1_0⁵·b_1_3 + c_4_25·b_1_3·b_5_44
       + c_4_25·b_1_3³·b_3_13 + c_4_25·b_1_0²·b_1_3·b_3_13 + c_4_25·b_1_0²·b_1_3·b_3_12
       + c_4_25·b_1_0³·b_3_12 + c_4_25·b_1_0³·b_1_3³ + c_4_25·b_1_0⁴·b_1_3²
       + c_2_7·b_1_3⁵·b_3_13 + c_2_7·b_1_3⁵·b_3_11 + c_2_7·b_1_3⁸
       + c_2_7·b_1_0·b_1_3·b_3_11·b_3_13 + c_2_7·b_1_0·b_1_3²·b_5_43
       + c_2_7·b_1_0·b_1_3⁴·b_3_14 + c_2_7·b_1_0·b_1_3⁴·b_3_11
       + c_2_7·b_1_0²·b_3_12·b_3_13 + c_2_7·b_1_0²·b_3_11·b_3_13
       + c_2_7·b_1_0²·b_3_11·b_3_12 + c_2_7·b_1_0²·b_1_3·b_5_43 + c_2_7·b_1_0²·b_1_3⁶
       + c_2_7·b_1_0³·b_5_44 + c_2_7·b_1_0³·b_5_43 + c_2_7·b_1_0³·b_1_3²·b_3_14
       + c_2_7·b_1_0³·b_1_3²·b_3_11 + c_2_7·b_1_0³·b_1_3⁵ + c_2_7·b_1_0⁴·b_1_3·b_3_13
       + c_2_7·b_1_0⁵·b_3_14 + c_2_7·b_1_0⁵·b_3_13 + c_2_7·b_1_0⁵·b_3_12
       + c_2_7·b_1_0⁶·b_1_3² + c_2_7·c_4_26·b_1_0·b_3_14 + c_2_7·c_4_26·b_1_0·b_3_13
       + c_2_7·c_4_26·b_1_0·b_3_12 + c_2_7·c_4_26·b_1_0·b_1_3³ + c_2_7·c_4_25·b_1_3·b_3_14
       + c_2_7·c_4_25·b_1_3·b_3_13 + c_2_7·c_4_25·b_1_3·b_3_12
       + c_2_7·c_4_25·b_1_0²·b_1_3² + c_2_7²·b_3_11·b_3_13 + c_2_7²·b_3_11·b_3_12
       + c_2_7²·b_1_3·b_5_44 + c_2_7²·b_1_3³·b_3_11 + c_2_7²·b_1_3⁶
       + c_2_7²·b_1_0·b_5_44 + c_2_7²·b_1_0·b_1_3²·b_3_14 + c_2_7²·b_1_0·b_1_3²·b_3_13
       + c_2_7²·b_1_0²·b_1_3·b_3_14 + c_2_7²·b_1_0²·b_1_3·b_3_13
       + c_2_7²·b_1_0³·b_3_14 + c_2_7²·b_1_0³·b_1_3³ + c_2_7²·b_1_0⁵·b_1_3
       + c_2_7·c_4_26·a_1_1·b_3_13 + c_2_7·c_4_25·a_1_1·b_3_11 + c_4_25·c_4_26·a_1_1·a_1_2
       + c_4_25·c_4_26·a_1_1² + c_2_7·c_4_26·a_1_2·a_3_9 + c_2_7·c_4_26·a_1_1·a_3_9
       + c_2_7·c_4_25·a_1_1·a_3_9 + c_2_7²·c_4_26·b_1_3² + c_2_7²·c_4_25·b_1_3²
       + c_2_7²·c_4_25·b_1_0·b_1_3 + c_2_7³·b_1_3·b_3_14 + c_2_7³·b_1_3·b_3_13
       + c_2_7³·b_1_3·b_3_12 + c_2_7³·b_1_3·b_3_11 + c_2_7³·b_1_0·b_3_13
       + c_2_7³·b_1_0·b_3_12 + c_2_7³·b_1_0·b_3_11 + c_2_7³·b_1_0³·b_1_3
       + c_2_7²·c_4_26·a_1_1·b_1_0 + c_2_7²·c_4_25·a_1_1·b_1_3
       + c_2_7²·c_4_25·a_1_1·b_1_0 + c_2_7³·a_1_1·b_3_11 + c_2_7²·c_4_26·a_1_1·a_1_2
       + c_2_7²·c_4_26·a_1_1² + c_2_7²·c_4_25·a_1_1·a_1_2 + c_2_7⁴·b_1_3²
       + c_2_7⁴·b_1_0² + c_2_7⁴·a_1_1·b_1_3 + c_2_7⁴·a_1_1·b_1_0 + c_2_7⁴·a_1_1·a_1_2
51. b_5_44² + b_5_43² + b_3_13·b_7_102 + b_3_11·b_7_102 + b_1_3⁵·b_5_43 + b_1_3⁷·b_3_11
       + b_1_0·b_1_3³·b_3_11·b_3_13 + b_1_0·b_1_3⁴·b_5_44 + b_1_0·b_1_3⁴·b_5_43
       + b_1_0·b_1_3⁶·b_3_13 + b_1_0·b_1_3⁶·b_3_11 + b_1_0²·b_1_3²·b_3_11·b_3_13
       + b_1_0²·b_1_3⁵·b_3_11 + b_1_0³·b_1_3·b_3_11·b_3_13 + b_1_0³·b_1_3²·b_5_44
       + b_1_0³·b_1_3²·b_5_43 + b_1_0³·b_1_3⁴·b_3_14 + b_1_0⁴·b_3_12·b_3_13
       + b_1_0⁴·b_3_11·b_3_13 + b_1_0⁴·b_3_11·b_3_12 + b_1_0⁴·b_1_3·b_5_44
       + b_1_0⁴·b_1_3·b_5_43 + b_1_0⁴·b_1_3³·b_3_14 + b_1_0⁴·b_1_3³·b_3_13
       + b_1_0⁵·b_1_3²·b_3_13 + b_1_0⁵·b_1_3²·b_3_11 + b_1_0⁶·b_1_3·b_3_14
       + b_1_0⁶·b_1_3·b_3_13 + c_4_26·b_3_12·b_3_13 + c_4_26·b_3_11·b_3_13
       + c_4_26·b_3_11·b_3_12 + c_4_26·b_1_3·b_5_43 + c_4_26·b_1_3³·b_3_14
       + c_4_26·b_1_3³·b_3_13 + c_4_26·b_1_3³·b_3_11 + c_4_26·b_1_3⁶
       + c_4_26·b_1_0·b_1_3²·b_3_14 + c_4_26·b_1_0·b_1_3²·b_3_13
       + c_4_26·b_1_0·b_1_3²·b_3_11 + c_4_26·b_1_0·b_1_3⁵ + c_4_26·b_1_0²·b_1_3·b_3_14
       + c_4_26·b_1_0²·b_1_3·b_3_11 + c_4_26·b_1_0³·b_1_3³ + c_4_26·b_1_0⁴·b_1_3²
       + c_4_26·b_1_0⁶ + c_4_25·b_3_12·b_3_13 + c_4_25·b_3_11·b_3_13 + c_4_25·b_3_11·b_3_12
       + c_4_25·b_1_3³·b_3_14 + c_4_25·b_1_0·b_5_44 + c_4_25·b_1_0·b_5_43
       + c_4_25·b_1_0·b_1_3²·b_3_13 + c_4_25·b_1_0·b_1_3⁵ + c_4_25·b_1_0²·b_1_3·b_3_13
       + c_4_25·b_1_0²·b_1_3·b_3_11 + c_4_25·b_1_0³·b_3_12 + c_4_25·b_1_0³·b_3_11
       + c_4_25·b_1_0⁶ + c_2_7·b_1_3²·b_3_11·b_3_13 + c_2_7·b_1_3³·b_5_44
       + c_2_7·b_1_3⁵·b_3_11 + c_2_7·b_1_0·b_1_3²·b_5_43 + c_2_7·b_1_0·b_1_3⁴·b_3_14
       + c_2_7·b_1_0·b_1_3⁴·b_3_11 + c_2_7·b_1_0·b_1_3⁷ + c_2_7·b_1_0²·b_3_12·b_3_13
       + c_2_7·b_1_0²·b_3_11·b_3_13 + c_2_7·b_1_0²·b_1_3·b_5_44
       + c_2_7·b_1_0²·b_1_3³·b_3_14 + c_2_7·b_1_0³·b_5_44 + c_2_7·b_1_0³·b_5_43
       + c_2_7·b_1_0³·b_1_3²·b_3_14 + c_2_7·b_1_0³·b_1_3²·b_3_13
       + c_2_7·b_1_0⁴·b_1_3·b_3_14 + c_2_7·b_1_0⁴·b_1_3·b_3_13
       + c_2_7·b_1_0⁴·b_1_3·b_3_12 + c_2_7·b_1_0⁴·b_1_3·b_3_11 + c_2_7·b_1_0⁵·b_3_14
       + c_2_7·b_1_0⁵·b_3_13 + c_2_7·b_1_0⁵·b_3_12 + c_2_7·b_1_0⁵·b_3_11
       + c_2_7·b_1_0⁶·b_1_3² + c_2_7·b_1_0⁷·b_1_3 + c_4_26²·b_1_0·b_1_3
       + c_4_25·c_4_26·b_1_3² + c_4_25·c_4_26·b_1_0² + c_4_25²·b_1_0·b_1_3
       + c_2_7·c_4_26·b_1_3·b_3_14 + c_2_7·c_4_26·b_1_3·b_3_13 + c_2_7·c_4_26·b_1_3·b_3_12
       + c_2_7·c_4_26·b_1_3·b_3_11 + c_2_7·c_4_26·b_1_3⁴ + c_2_7·c_4_26·b_1_0²·b_1_3²
       + c_2_7·c_4_25·b_1_3·b_3_13 + c_2_7·c_4_25·b_1_3·b_3_11 + c_2_7·c_4_25·b_1_0·b_3_13
       + c_2_7·c_4_25·b_1_0·b_3_12 + c_2_7·c_4_25·b_1_0·b_1_3³
       + c_2_7·c_4_25·b_1_0³·b_1_3 + c_2_7·c_4_25·b_1_0⁴ + c_2_7²·b_3_12·b_3_13
       + c_2_7²·b_3_11·b_3_13 + c_2_7²·b_3_11·b_3_12 + c_2_7²·b_1_3³·b_3_14
       + c_2_7²·b_1_3³·b_3_13 + c_2_7²·b_1_0·b_1_3²·b_3_14
       + c_2_7²·b_1_0·b_1_3²·b_3_13 + c_2_7²·b_1_0·b_1_3²·b_3_11
       + c_2_7²·b_1_0²·b_1_3·b_3_14 + c_2_7²·b_1_0²·b_1_3·b_3_13
       + c_2_7²·b_1_0²·b_1_3·b_3_11 + c_2_7²·b_1_0²·b_1_3⁴ + c_2_7²·b_1_0³·b_3_14
       + c_2_7²·b_1_0³·b_3_11 + c_2_7²·b_1_0⁶ + c_4_26²·a_1_1·b_1_3
       + c_4_26²·a_1_1·b_1_0 + c_4_25·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_26·a_1_1·b_3_11
       + c_2_7·c_4_25·a_1_1·b_3_13 + c_4_26²·a_1_1·a_1_2 + c_4_26²·a_1_1²
       + c_4_25·c_4_26·a_1_1·a_1_2 + c_4_25²·a_1_1·a_1_2 + c_4_25²·a_1_1²
       + c_2_7²·c_4_26·b_1_0·b_1_3 + c_2_7²·c_4_25·b_1_3² + c_2_7³·b_1_3·b_3_13
       + c_2_7³·b_1_3·b_3_11 + c_2_7³·b_1_0·b_3_13 + c_2_7³·b_1_0·b_3_11
       + c_2_7³·b_1_0·b_1_3³ + c_2_7³·b_1_0³·b_1_3 + c_2_7²·c_4_26·a_1_1·b_1_3
       + c_2_7²·c_4_26·a_1_1·a_1_2 + c_2_7²·c_4_25·a_1_1·a_1_2 + c_2_7²·c_4_25·a_1_1²
       + c_2_7⁴·b_1_3² + c_2_7⁴·b_1_0² + c_2_7⁴·a_1_1²
52. b_5_43·b_5_44 + b_5_43² + b_3_14·b_7_102 + b_1_3⁵·b_5_44 + b_1_3⁷·b_3_14
       + b_1_3⁷·b_3_11 + b_1_0·b_1_3³·b_3_11·b_3_13 + b_1_0·b_1_3⁴·b_5_44
       + b_1_0·b_1_3⁶·b_3_13 + b_1_0²·b_1_3²·b_3_11·b_3_13 + b_1_0²·b_1_3⁵·b_3_14
       + b_1_0²·b_1_3⁵·b_3_13 + b_1_0²·b_1_3⁵·b_3_11 + b_1_0³·b_1_3²·b_5_44
       + b_1_0³·b_1_3²·b_5_43 + b_1_0³·b_1_3⁴·b_3_13 + b_1_0³·b_1_3⁴·b_3_11
       + b_1_0⁴·b_1_3·b_5_44 + b_1_0⁴·b_1_3·b_5_43 + b_1_0⁴·b_1_3³·b_3_14
       + b_1_0⁴·b_1_3³·b_3_13 + b_1_0⁵·b_5_43 + b_1_0⁵·b_1_3²·b_3_14
       + b_1_0⁶·b_1_3·b_3_12 + b_1_0⁶·b_1_3·b_3_11 + b_1_0⁷·b_3_13 + b_1_0⁷·b_3_11
       + c_4_26·b_3_12·b_3_13 + c_4_26·b_3_11·b_3_13 + c_4_26·b_3_11·b_3_12
       + c_4_26·b_1_3³·b_3_11 + c_4_26·b_1_0·b_5_43 + c_4_26·b_1_0·b_1_3²·b_3_14
       + c_4_26·b_1_0²·b_1_3·b_3_14 + c_4_26·b_1_0²·b_1_3⁴ + c_4_26·b_1_0³·b_3_14
       + c_4_26·b_1_0³·b_3_13 + c_4_26·b_1_0³·b_1_3³ + c_4_26·b_1_0⁴·b_1_3²
       + c_4_26·b_1_0⁶ + c_4_25·b_1_3·b_5_44 + c_4_25·b_1_3·b_5_43 + c_4_25·b_1_3⁶
       + c_4_25·b_1_0·b_5_44 + c_4_25·b_1_0·b_5_43 + c_4_25·b_1_0·b_1_3²·b_3_13
       + c_4_25·b_1_0·b_1_3⁵ + c_4_25·b_1_0²·b_1_3·b_3_13 + c_4_25·b_1_0²·b_1_3·b_3_12
       + c_4_25·b_1_0²·b_1_3·b_3_11 + c_4_25·b_1_0²·b_1_3⁴ + c_4_25·b_1_0³·b_3_14
       + c_4_25·b_1_0³·b_3_12 + c_4_25·b_1_0³·b_1_3³ + c_4_25·b_1_0⁴·b_1_3²
       + c_2_7·b_1_3²·b_3_11·b_3_13 + c_2_7·b_1_3³·b_5_43 + c_2_7·b_1_3⁵·b_3_14
       + c_2_7·b_1_3⁵·b_3_13 + c_2_7·b_1_3⁸ + c_2_7·b_1_0·b_1_3·b_3_11·b_3_13
       + c_2_7·b_1_0·b_1_3⁴·b_3_11 + c_2_7·b_1_0²·b_3_12·b_3_13
       + c_2_7·b_1_0²·b_1_3·b_5_44 + c_2_7·b_1_0²·b_1_3³·b_3_13 + c_2_7·b_1_0²·b_1_3⁶
       + c_2_7·b_1_0⁴·b_1_3·b_3_11 + c_2_7·b_1_0⁴·b_1_3⁴ + c_2_7·b_1_0⁵·b_3_14
       + c_2_7·b_1_0⁵·b_3_12 + c_2_7·b_1_0⁵·b_1_3³ + c_2_7·b_1_0⁶·b_1_3²
       + c_2_7·b_1_0⁸ + c_4_25·c_4_26·b_1_3² + c_4_25²·b_1_3² + c_4_25²·b_1_0·b_1_3
       + c_2_7·c_4_26·b_1_0·b_3_13 + c_2_7·c_4_26·b_1_0·b_3_11 + c_2_7·c_4_26·b_1_0·b_1_3³
       + c_2_7·c_4_26·b_1_0²·b_1_3² + c_2_7·c_4_26·b_1_0³·b_1_3 + c_2_7·c_4_26·b_1_0⁴
       + c_2_7·c_4_25·b_1_3·b_3_14 + c_2_7·c_4_25·b_1_3·b_3_11 + c_2_7·c_4_25·b_1_3⁴
       + c_2_7·c_4_25·b_1_0·b_3_14 + c_2_7·c_4_25·b_1_0·b_3_13 + c_2_7·c_4_25·b_1_0·b_3_12
       + c_2_7·c_4_25·b_1_0·b_1_3³ + c_2_7·c_4_25·b_1_0²·b_1_3²
       + c_2_7·c_4_25·b_1_0³·b_1_3 + c_2_7·c_4_25·b_1_0⁴ + c_2_7²·b_3_11·b_3_13
       + c_2_7²·b_3_11·b_3_12 + c_2_7²·b_1_3³·b_3_14 + c_2_7²·b_1_3⁶
       + c_2_7²·b_1_0·b_5_43 + c_2_7²·b_1_0·b_1_3²·b_3_11 + c_2_7²·b_1_0·b_1_3⁵
       + c_2_7²·b_1_0²·b_1_3·b_3_14 + c_2_7²·b_1_0²·b_1_3·b_3_13
       + c_2_7²·b_1_0²·b_1_3·b_3_12 + c_2_7²·b_1_0²·b_1_3·b_3_11
       + c_2_7²·b_1_0³·b_3_14 + c_2_7²·b_1_0³·b_3_13 + c_2_7²·b_1_0³·b_3_12
       + c_2_7²·b_1_0³·b_1_3³ + c_2_7²·b_1_0⁵·b_1_3 + c_2_7²·b_1_0⁶
       + c_4_26²·a_1_1·b_1_3 + c_4_25·c_4_26·a_1_1·b_1_0 + c_4_25²·a_1_1·b_1_3
       + c_4_25²·a_1_1·b_1_0 + c_2_7·c_4_25·a_1_1·b_3_13 + c_4_25·c_4_26·a_1_1²
       + c_4_25²·a_1_1·a_1_2 + c_4_25²·a_1_1² + c_2_7·c_4_26·a_1_2·a_3_9
       + c_2_7·c_4_25·a_1_2·a_3_9 + c_2_7²·c_4_26·b_1_0² + c_2_7²·c_4_25·b_1_0·b_1_3
       + c_2_7³·b_1_3·b_3_14 + c_2_7³·b_1_3·b_3_13 + c_2_7³·b_1_3·b_3_12
       + c_2_7³·b_1_0·b_3_11 + c_2_7³·b_1_0·b_1_3³ + c_2_7³·b_1_0³·b_1_3
       + c_2_7³·b_1_0⁴ + c_2_7²·c_4_26·a_1_1·b_1_3 + c_2_7²·c_4_26·a_1_1·b_1_0
       + c_2_7²·c_4_25·a_1_1·b_1_3 + c_2_7³·a_1_1·b_3_13 + c_2_7³·a_1_1·b_3_11
       + c_2_7²·c_4_25·a_1_1² + c_2_7³·a_1_1·a_3_9 + c_2_7⁴·b_1_0·b_1_3
       + c_2_7⁴·a_1_1²
53. b_5_43·b_5_44 + b_5_43² + b_3_13·b_7_102 + b_1_3³·b_7_102 + b_1_3⁴·b_3_11·b_3_13
       + b_1_3⁵·b_5_44 + b_1_3⁷·b_3_13 + b_1_3⁷·b_3_11 + b_1_0·b_1_3²·b_7_102
       + b_1_0·b_1_3³·b_3_11·b_3_13 + b_1_0·b_1_3⁴·b_5_44 + b_1_0·b_1_3⁴·b_5_43
       + b_1_0·b_1_3⁶·b_3_14 + b_1_0·b_1_3⁶·b_3_13 + b_1_0·b_1_3⁶·b_3_11
       + b_1_0²·b_1_3⁵·b_3_14 + b_1_0³·b_1_3⁴·b_3_13 + b_1_0³·b_1_3⁴·b_3_11
       + b_1_0⁴·b_3_12·b_3_13 + b_1_0⁴·b_3_11·b_3_12 + b_1_0⁴·b_1_3·b_5_44
       + b_1_0⁴·b_1_3³·b_3_14 + b_1_0⁴·b_1_3³·b_3_13 + b_1_0⁶·b_1_3·b_3_12
       + b_1_0⁷·b_3_14 + b_1_0⁷·b_3_13 + c_4_26·b_3_12·b_3_13 + c_4_26·b_3_11·b_3_13
       + c_4_26·b_1_3·b_5_43 + c_4_26·b_1_0·b_5_44 + c_4_26·b_1_0·b_5_43
       + c_4_26·b_1_0·b_1_3²·b_3_13 + c_4_26·b_1_0²·b_1_3·b_3_13
       + c_4_26·b_1_0²·b_1_3·b_3_12 + c_4_26·b_1_0²·b_1_3⁴ + c_4_26·b_1_0³·b_3_14
       + c_4_26·b_1_0³·b_3_13 + c_4_26·b_1_0³·b_3_12 + c_4_26·b_1_0³·b_1_3³
       + c_4_26·b_1_0⁴·b_1_3² + c_4_26·b_1_0⁵·b_1_3 + c_4_25·b_3_12·b_3_13
       + c_4_25·b_1_3·b_5_43 + c_4_25·b_1_3³·b_3_14 + c_4_25·b_1_3³·b_3_13
       + c_4_25·b_1_3³·b_3_11 + c_4_25·b_1_3⁶ + c_4_25·b_1_0²·b_1_3·b_3_13
       + c_4_25·b_1_0³·b_3_11 + c_4_25·b_1_0⁴·b_1_3² + c_4_25·b_1_0⁵·b_1_3
       + c_2_7·b_1_3·b_7_102 + c_2_7·b_1_3³·b_5_44 + c_2_7·b_1_3³·b_5_43
       + c_2_7·b_1_3⁵·b_3_13 + c_2_7·b_1_3⁸ + c_2_7·b_1_0²·b_3_12·b_3_13
       + c_2_7·b_1_0²·b_1_3⁶ + c_2_7·b_1_0³·b_1_3²·b_3_13
       + c_2_7·b_1_0³·b_1_3²·b_3_11 + c_2_7·b_1_0³·b_1_3⁵ + c_2_7·b_1_0⁴·b_1_3·b_3_14
       + c_2_7·b_1_0⁴·b_1_3·b_3_12 + c_2_7·b_1_0⁵·b_3_14 + c_2_7·b_1_0⁵·b_3_13
       + c_2_7·b_1_0⁶·b_1_3² + c_4_26²·b_1_0·b_1_3 + c_4_25·c_4_26·b_1_0²
       + c_4_25²·b_1_3² + c_2_7·c_4_26·b_1_3·b_3_14 + c_2_7·c_4_26·b_1_3·b_3_13
       + c_2_7·c_4_26·b_1_0·b_3_11 + c_2_7·c_4_26·b_1_0·b_1_3³
       + c_2_7·c_4_26·b_1_0³·b_1_3 + c_2_7·c_4_26·b_1_0⁴ + c_2_7·c_4_25·b_1_3·b_3_14
       + c_2_7·c_4_25·b_1_3·b_3_12 + c_2_7·c_4_25·b_1_0·b_1_3³
       + c_2_7·c_4_25·b_1_0³·b_1_3 + c_2_7²·b_3_12·b_3_13 + c_2_7²·b_3_11·b_3_13
       + c_2_7²·b_3_11·b_3_12 + c_2_7²·b_1_3·b_5_44 + c_2_7²·b_1_3³·b_3_13
       + c_2_7²·b_1_3³·b_3_11 + c_2_7²·b_1_0·b_5_44 + c_2_7²·b_1_0·b_1_3⁵
       + c_2_7²·b_1_0²·b_1_3·b_3_14 + c_2_7²·b_1_0²·b_1_3·b_3_11
       + c_2_7²·b_1_0²·b_1_3⁴ + c_2_7²·b_1_0³·b_3_13 + c_2_7²·b_1_0³·b_3_11
       + c_4_26²·a_1_1·b_1_0 + c_4_25·c_4_26·a_1_1·b_1_3 + c_2_7·c_4_26·a_1_1·b_3_11
       + c_4_26²·a_1_1·a_1_2 + c_4_25·c_4_26·a_1_1·a_1_2 + c_4_25²·a_1_1·a_1_2
       + c_4_25²·a_1_1² + c_2_7·c_4_26·a_1_1·a_3_9 + c_2_7·c_4_25·a_1_2·a_3_9
       + c_2_7·c_4_25·a_1_1·a_3_9 + c_2_7²·c_4_26·b_1_0² + c_2_7²·c_4_25·b_1_3²
       + c_2_7²·c_4_25·b_1_0·b_1_3 + c_2_7³·b_1_3·b_3_14 + c_2_7³·b_1_3·b_3_13
       + c_2_7³·b_1_3·b_3_11 + c_2_7³·b_1_3⁴ + c_2_7³·b_1_0·b_3_12 + c_2_7³·b_1_0·b_3_11
       + c_2_7³·b_1_0²·b_1_3² + c_2_7²·c_4_26·a_1_1·b_1_0 + c_2_7²·c_4_25·a_1_1·b_1_3
       + c_2_7³·a_1_1·b_3_11 + c_2_7²·c_4_26·a_1_1·a_1_2 + c_2_7²·c_4_26·a_1_1²
       + c_2_7²·c_4_25·a_1_1·a_1_2 + c_2_7³·a_1_2·a_3_9 + c_2_7⁴·b_1_3²
       + c_2_7⁴·b_1_0·b_1_3 + c_2_7⁴·a_1_1·b_1_3 + c_2_7⁴·a_1_1·b_1_0
54. b_5_43² + b_3_13·b_7_102 + b_3_12·b_7_102 + b_1_3⁵·b_5_44 + b_1_3⁷·b_3_14
       + b_1_3⁷·b_3_11 + b_1_0·b_1_3²·b_7_102 + b_1_0·b_1_3³·b_3_11·b_3_13
       + b_1_0·b_1_3⁴·b_5_44 + b_1_0·b_1_3⁴·b_5_43 + b_1_0·b_1_3⁶·b_3_14
       + b_1_0·b_1_3⁶·b_3_11 + b_1_0²·b_1_3²·b_3_11·b_3_13 + b_1_0²·b_1_3⁵·b_3_13
       + b_1_0³·b_1_3²·b_5_43 + b_1_0³·b_1_3⁴·b_3_14 + b_1_0³·b_1_3⁴·b_3_13
       + b_1_0³·b_1_3⁴·b_3_11 + b_1_0⁴·b_3_12·b_3_13 + b_1_0⁴·b_1_3·b_5_44
       + b_1_0⁴·b_1_3³·b_3_13 + b_1_0⁵·b_5_43 + b_1_0⁵·b_1_3²·b_3_14
       + b_1_0⁵·b_1_3²·b_3_13 + b_1_0⁶·b_1_3·b_3_11 + b_1_0⁷·b_3_14 + b_1_0⁷·b_3_11
       + c_4_26·b_3_12·b_3_13 + c_4_26·b_3_11·b_3_13 + c_4_26·b_3_11·b_3_12
       + c_4_26·b_1_3·b_5_43 + c_4_26·b_1_3³·b_3_11 + c_4_26·b_1_0·b_5_43
       + c_4_26·b_1_0·b_1_3²·b_3_14 + c_4_26·b_1_0·b_1_3⁵ + c_4_26·b_1_0²·b_1_3·b_3_14
       + c_4_26·b_1_0²·b_1_3·b_3_12 + c_4_26·b_1_0⁴·b_1_3² + c_4_26·b_1_0⁵·b_1_3
       + c_4_26·b_1_0⁶ + c_4_25·b_1_3·b_5_44 + c_4_25·b_1_3·b_5_43 + c_4_25·b_1_3³·b_3_14
       + c_4_25·b_1_3³·b_3_11 + c_4_25·b_1_3⁶ + c_4_25·b_1_0·b_1_3²·b_3_14
       + c_4_25·b_1_0·b_1_3²·b_3_13 + c_4_25·b_1_0·b_1_3⁵ + c_4_25·b_1_0²·b_1_3·b_3_13
       + c_4_25·b_1_0²·b_1_3·b_3_12 + c_4_25·b_1_0³·b_3_14 + c_4_25·b_1_0³·b_3_13
       + c_4_25·b_1_0³·b_3_11 + c_4_25·b_1_0⁵·b_1_3 + c_2_7·b_1_3³·b_5_44
       + c_2_7·b_1_3³·b_5_43 + c_2_7·b_1_3⁸ + c_2_7·b_1_0·b_7_102
       + c_2_7·b_1_0·b_1_3·b_3_11·b_3_13 + c_2_7·b_1_0·b_1_3²·b_5_43
       + c_2_7·b_1_0²·b_3_11·b_3_12 + c_2_7·b_1_0²·b_1_3·b_5_44
       + c_2_7·b_1_0²·b_1_3·b_5_43 + c_2_7·b_1_0²·b_1_3³·b_3_14
       + c_2_7·b_1_0²·b_1_3³·b_3_13 + c_2_7·b_1_0³·b_5_43 + c_2_7·b_1_0³·b_1_3²·b_3_14
       + c_2_7·b_1_0³·b_1_3⁵ + c_2_7·b_1_0⁴·b_1_3·b_3_14 + c_2_7·b_1_0⁴·b_1_3·b_3_13
       + c_2_7·b_1_0⁴·b_1_3·b_3_12 + c_2_7·b_1_0⁴·b_1_3·b_3_11 + c_2_7·b_1_0⁵·b_3_12
       + c_2_7·b_1_0⁵·b_3_11 + c_2_7·b_1_0⁵·b_1_3³ + c_2_7·b_1_0⁸ + c_4_26²·b_1_0·b_1_3
       + c_4_25·c_4_26·b_1_0² + c_4_25²·b_1_3² + c_2_7·c_4_26·b_1_3·b_3_14
       + c_2_7·c_4_26·b_1_3·b_3_13 + c_2_7·c_4_26·b_1_3·b_3_12 + c_2_7·c_4_26·b_1_3·b_3_11
       + c_2_7·c_4_26·b_1_3⁴ + c_2_7·c_4_26·b_1_0·b_3_14 + c_2_7·c_4_26·b_1_0·b_3_13
       + c_2_7·c_4_26·b_1_0·b_1_3³ + c_2_7·c_4_26·b_1_0³·b_1_3 + c_2_7·c_4_25·b_1_3⁴
       + c_2_7·c_4_25·b_1_0·b_3_13 + c_2_7·c_4_25·b_1_0·b_3_12
       + c_2_7·c_4_25·b_1_0²·b_1_3² + c_2_7·c_4_25·b_1_0³·b_1_3 + c_2_7·c_4_25·b_1_0⁴
       + c_2_7²·b_1_3³·b_3_14 + c_2_7²·b_1_3³·b_3_11 + c_2_7²·b_1_0·b_1_3²·b_3_14
       + c_2_7²·b_1_0·b_1_3²·b_3_13 + c_2_7²·b_1_0·b_1_3⁵
       + c_2_7²·b_1_0²·b_1_3·b_3_14 + c_2_7²·b_1_0³·b_3_12 + c_2_7²·b_1_0³·b_3_11
       + c_2_7²·b_1_0³·b_1_3³ + c_2_7²·b_1_0⁴·b_1_3² + c_2_7²·b_1_0⁵·b_1_3
       + c_4_26²·a_1_1·b_1_0 + c_4_25·c_4_26·a_1_1·b_1_3 + c_2_7·c_4_26·a_1_1·b_3_13
       + c_2_7·c_4_26·a_1_1·b_3_11 + c_2_7·c_4_25·a_1_1·b_3_11 + c_4_26²·a_1_1²
       + c_4_25·c_4_26·a_1_1·a_1_2 + c_4_25·c_4_26·a_1_1² + c_4_25²·a_1_1²
       + c_2_7·c_4_26·a_1_2·a_3_9 + c_2_7·c_4_26·a_1_1·a_3_9 + c_2_7·c_4_25·a_1_1·a_3_9
       + c_2_7²·c_4_26·b_1_3² + c_2_7²·c_4_25·b_1_0·b_1_3 + c_2_7³·b_1_3·b_3_13
       + c_2_7³·b_1_3·b_3_12 + c_2_7³·b_1_3⁴ + c_2_7³·b_1_0²·b_1_3²
       + c_2_7³·b_1_0³·b_1_3 + c_2_7³·b_1_0⁴ + c_2_7²·c_4_25·a_1_1·b_1_0
       + c_2_7²·c_4_25·a_1_1·a_1_2 + c_2_7²·c_4_25·a_1_1² + c_2_7³·a_1_2·a_3_9
       + c_2_7⁴·b_1_0·b_1_3 + c_2_7⁴·a_1_1·a_1_2 + c_2_7⁴·a_1_1²
55. b_5_44·b_7_102 + b_1_3⁷·b_5_43 + b_1_3⁹·b_3_14 + b_1_3⁹·b_3_13
       + b_1_0·b_1_3⁵·b_3_11·b_3_13 + b_1_0·b_1_3⁶·b_5_44 + b_1_0·b_1_3⁸·b_3_14
       + b_1_0·b_1_3⁸·b_3_11 + b_1_0²·b_1_3³·b_7_102 + b_1_0²·b_1_3⁴·b_3_11·b_3_13
       + b_1_0²·b_1_3⁵·b_5_44 + b_1_0²·b_1_3⁵·b_5_43 + b_1_0²·b_1_3⁷·b_3_14
       + b_1_0²·b_1_3⁷·b_3_13 + b_1_0²·b_1_3⁷·b_3_11 + b_1_0³·b_1_3²·b_7_102
       + b_1_0³·b_1_3⁴·b_5_44 + b_1_0³·b_1_3⁶·b_3_13 + b_1_0⁴·b_1_3·b_7_102
       + b_1_0⁴·b_1_3³·b_5_44 + b_1_0⁴·b_1_3³·b_5_43 + b_1_0⁴·b_1_3⁵·b_3_13
       + b_1_0⁵·b_7_102 + b_1_0⁵·b_1_3·b_3_11·b_3_13 + b_1_0⁵·b_1_3²·b_5_43
       + b_1_0⁵·b_1_3⁴·b_3_14 + b_1_0⁵·b_1_3⁴·b_3_13 + b_1_0⁶·b_3_12·b_3_13
       + b_1_0⁶·b_3_11·b_3_13 + b_1_0⁶·b_3_11·b_3_12 + b_1_0⁶·b_1_3·b_5_44
       + b_1_0⁶·b_1_3·b_5_43 + b_1_0⁶·b_1_3³·b_3_14 + b_1_0⁶·b_1_3³·b_3_11
       + b_1_0⁷·b_1_3²·b_3_14 + b_1_0⁸·b_1_3·b_3_11 + b_1_0⁹·b_3_14 + b_1_0⁹·b_3_11
       + c_4_26·b_1_3·b_7_102 + c_4_26·b_1_3⁵·b_3_11 + c_4_26·b_1_0·b_1_3⁴·b_3_14
       + c_4_26·b_1_0·b_1_3⁴·b_3_13 + c_4_26·b_1_0·b_1_3⁴·b_3_11 + c_4_26·b_1_0·b_1_3⁷
       + c_4_26·b_1_0²·b_3_11·b_3_12 + c_4_26·b_1_0²·b_1_3⁶ + c_4_26·b_1_0³·b_5_44
       + c_4_26·b_1_0³·b_1_3⁵ + c_4_26·b_1_0⁴·b_1_3·b_3_12 + c_4_26·b_1_0⁴·b_1_3·b_3_11
       + c_4_26·b_1_0⁵·b_3_12 + c_4_26·b_1_0⁵·b_3_11 + c_4_26·b_1_0⁶·b_1_3²
       + c_4_26·b_1_0⁸ + c_4_25·b_1_3²·b_3_11·b_3_13 + c_4_25·b_1_3⁵·b_3_13
       + c_4_25·b_1_0·b_7_102 + c_4_25·b_1_0·b_1_3²·b_5_43 + c_4_25·b_1_0·b_1_3⁴·b_3_13
       + c_4_25·b_1_0·b_1_3⁴·b_3_11 + c_4_25·b_1_0·b_1_3⁷ + c_4_25·b_1_0²·b_3_12·b_3_13
       + c_4_25·b_1_0²·b_3_11·b_3_13 + c_4_25·b_1_0²·b_3_11·b_3_12
       + c_4_25·b_1_0²·b_1_3·b_5_44 + c_4_25·b_1_0²·b_1_3·b_5_43
       + c_4_25·b_1_0²·b_1_3³·b_3_14 + c_4_25·b_1_0²·b_1_3³·b_3_11
       + c_4_25·b_1_0²·b_1_3⁶ + c_4_25·b_1_0³·b_1_3²·b_3_14 + c_4_25·b_1_0³·b_1_3⁵
       + c_4_25·b_1_0⁴·b_1_3·b_3_12 + c_4_25·b_1_0⁴·b_1_3·b_3_11 + c_4_25·b_1_0⁴·b_1_3⁴
       + c_4_25·b_1_0⁵·b_3_12 + c_4_25·b_1_0⁵·b_3_11 + c_4_25·b_1_0⁵·b_1_3³
       + c_4_25·b_1_0⁶·b_1_3² + c_4_25·b_1_0⁸ + c_2_7·b_1_3⁵·b_5_44
       + c_2_7·b_1_3⁵·b_5_43 + c_2_7·b_1_3⁷·b_3_13 + c_2_7·b_1_0·b_1_3³·b_3_11·b_3_13
       + c_2_7·b_1_0·b_1_3⁴·b_5_43 + c_2_7·b_1_0·b_1_3⁶·b_3_13
       + c_2_7·b_1_0²·b_1_3·b_7_102 + c_2_7·b_1_0²·b_1_3³·b_5_43
       + c_2_7·b_1_0²·b_1_3⁵·b_3_14 + c_2_7·b_1_0²·b_1_3⁵·b_3_13
       + c_2_7·b_1_0²·b_1_3⁵·b_3_11 + c_2_7·b_1_0²·b_1_3⁸ + c_2_7·b_1_0³·b_7_102
       + c_2_7·b_1_0³·b_1_3·b_3_11·b_3_13 + c_2_7·b_1_0³·b_1_3²·b_5_44
       + c_2_7·b_1_0³·b_1_3²·b_5_43 + c_2_7·b_1_0³·b_1_3⁴·b_3_11
       + c_2_7·b_1_0³·b_1_3⁷ + c_2_7·b_1_0⁴·b_3_12·b_3_13 + c_2_7·b_1_0⁴·b_1_3·b_5_44
       + c_2_7·b_1_0⁴·b_1_3³·b_3_14 + c_2_7·b_1_0⁴·b_1_3³·b_3_13
       + c_2_7·b_1_0⁴·b_1_3³·b_3_11 + c_2_7·b_1_0⁴·b_1_3⁶ + c_2_7·b_1_0⁵·b_5_44
       + c_2_7·b_1_0⁵·b_1_3⁵ + c_2_7·b_1_0⁶·b_1_3·b_3_14 + c_2_7·b_1_0⁶·b_1_3·b_3_13
       + c_2_7·b_1_0⁶·b_1_3·b_3_11 + c_2_7·b_1_0⁶·b_1_3⁴ + c_2_7·b_1_0⁷·b_3_14
       + c_2_7·b_1_0⁷·b_3_13 + c_2_7·b_1_0⁷·b_1_3³ + c_2_7·b_1_0⁸·b_1_3²
       + c_2_7·b_1_0¹⁰ + c_4_26²·b_1_3·b_3_12 + c_4_26²·b_1_3·b_3_11
       + c_4_26²·b_1_0·b_3_14 + c_4_26²·b_1_0·b_3_13 + c_4_26²·b_1_0·b_3_12
       + c_4_25·c_4_26·b_1_3·b_3_13 + c_4_25·c_4_26·b_1_3·b_3_12
       + c_4_25·c_4_26·b_1_0·b_3_12 + c_4_25·c_4_26·b_1_0·b_3_11
       + c_4_25·c_4_26·b_1_0³·b_1_3 + c_4_25·c_4_26·b_1_0⁴ + c_4_25²·b_1_3·b_3_14
       + c_4_25²·b_1_3·b_3_13 + c_4_25²·b_1_3·b_3_12 + c_4_25²·b_1_3⁴
       + c_4_25²·b_1_0·b_3_13 + c_4_25²·b_1_0·b_3_12 + c_4_25²·b_1_0²·b_1_3²
       + c_4_25²·b_1_0³·b_1_3 + c_4_25²·b_1_0⁴ + c_2_7·c_4_26·b_3_12·b_3_13
       + c_2_7·c_4_26·b_3_11·b_3_13 + c_2_7·c_4_26·b_1_3³·b_3_14
       + c_2_7·c_4_26·b_1_3³·b_3_11 + c_2_7·c_4_26·b_1_0·b_1_3²·b_3_14
       + c_2_7·c_4_26·b_1_0·b_1_3²·b_3_13 + c_2_7·c_4_26·b_1_0·b_1_3⁵
       + c_2_7·c_4_26·b_1_0²·b_1_3·b_3_13 + c_2_7·c_4_26·b_1_0²·b_1_3·b_3_11
       + c_2_7·c_4_26·b_1_0³·b_1_3³ + c_2_7·c_4_26·b_1_0⁵·b_1_3
       + c_2_7·c_4_25·b_3_11·b_3_13 + c_2_7·c_4_25·b_3_11·b_3_12
       + c_2_7·c_4_25·b_1_3³·b_3_13 + c_2_7·c_4_25·b_1_3³·b_3_11
       + c_2_7·c_4_25·b_1_0·b_5_44 + c_2_7·c_4_25·b_1_0·b_1_3²·b_3_13
       + c_2_7·c_4_25·b_1_0·b_1_3⁵ + c_2_7·c_4_25·b_1_0²·b_1_3·b_3_14
       + c_2_7·c_4_25·b_1_0²·b_1_3·b_3_13 + c_2_7·c_4_25·b_1_0²·b_1_3⁴
       + c_2_7·c_4_25·b_1_0³·b_3_14 + c_2_7·c_4_25·b_1_0³·b_3_11
       + c_2_7·c_4_25·b_1_0⁴·b_1_3² + c_2_7·c_4_25·b_1_0⁶
       + c_2_7²·b_1_3²·b_3_11·b_3_13 + c_2_7²·b_1_3³·b_5_43
       + c_2_7²·b_1_0·b_1_3·b_3_11·b_3_13 + c_2_7²·b_1_0·b_1_3⁴·b_3_13
       + c_2_7²·b_1_0·b_1_3⁴·b_3_11 + c_2_7²·b_1_0²·b_3_11·b_3_12
       + c_2_7²·b_1_0²·b_1_3·b_5_43 + c_2_7²·b_1_0²·b_1_3⁶ + c_2_7²·b_1_0³·b_5_44
       + c_2_7²·b_1_0³·b_5_43 + c_2_7²·b_1_0³·b_1_3²·b_3_14 + c_2_7²·b_1_0³·b_1_3⁵
       + c_2_7²·b_1_0⁴·b_1_3·b_3_13 + c_2_7²·b_1_0⁴·b_1_3·b_3_12
       + c_2_7²·b_1_0⁴·b_1_3⁴ + c_2_7²·b_1_0⁵·b_3_14 + c_2_7²·b_1_0⁶·b_1_3²
       + c_4_25·c_4_26·a_1_1·b_3_13 + c_4_25·c_4_26·a_1_1·b_3_11 + c_4_25²·a_1_1·b_3_11
       + c_4_25·c_4_26·a_1_1·a_3_9 + c_4_25²·a_1_1·a_3_9 + c_2_7·c_4_25·c_4_26·b_1_3²
       + c_2_7·c_4_25²·b_1_3² + c_2_7²·c_4_26·b_1_3·b_3_14 + c_2_7²·c_4_26·b_1_3·b_3_12
       + c_2_7²·c_4_26·b_1_3·b_3_11 + c_2_7²·c_4_26·b_1_3⁴
       + c_2_7²·c_4_26·b_1_0·b_1_3³ + c_2_7²·c_4_26·b_1_0²·b_1_3²
       + c_2_7²·c_4_26·b_1_0⁴ + c_2_7²·c_4_25·b_1_3·b_3_11 + c_2_7²·c_4_25·b_1_3⁴
       + c_2_7²·c_4_25·b_1_0·b_3_11 + c_2_7²·c_4_25·b_1_0⁴ + c_2_7³·b_3_11·b_3_13
       + c_2_7³·b_3_11·b_3_12 + c_2_7³·b_1_3³·b_3_13 + c_2_7³·b_1_0·b_5_44
       + c_2_7³·b_1_0·b_5_43 + c_2_7³·b_1_0·b_1_3²·b_3_11 + c_2_7³·b_1_0·b_1_3⁵
       + c_2_7³·b_1_0²·b_1_3·b_3_14 + c_2_7³·b_1_0²·b_1_3·b_3_13
       + c_2_7³·b_1_0³·b_3_14 + c_2_7³·b_1_0³·b_3_13 + c_2_7³·b_1_0³·b_3_12
       + c_2_7³·b_1_0³·b_1_3³ + c_2_7·c_4_25·c_4_26·a_1_1·b_1_3
       + c_2_7·c_4_25²·a_1_1·b_1_0 + c_2_7²·c_4_26·a_1_1·b_3_13
       + c_2_7²·c_4_26·a_1_1·b_3_11 + c_2_7·c_4_26²·a_1_1·a_1_2 + c_2_7·c_4_26²·a_1_1²
       + c_2_7·c_4_25²·a_1_1·a_1_2 + c_2_7·c_4_25²·a_1_1² + c_2_7²·c_4_26·a_1_2·a_3_9
       + c_2_7²·c_4_26·a_1_1·a_3_9 + c_2_7²·c_4_25·a_1_2·a_3_9
       + c_2_7²·c_4_25·a_1_1·a_3_9 + c_2_7³·c_4_26·b_1_0² + c_2_7³·c_4_25·b_1_0·b_1_3
       + c_2_7⁴·b_1_3·b_3_14 + c_2_7⁴·b_1_3·b_3_13 + c_2_7⁴·b_1_3·b_3_12
       + c_2_7⁴·b_1_3·b_3_11 + c_2_7⁴·b_1_0·b_3_11 + c_2_7⁴·a_1_1·b_3_13
       + c_2_7⁴·a_1_1·b_3_11 + c_2_7³·c_4_26·a_1_1·a_1_2 + c_2_7³·c_4_26·a_1_1²
       + c_2_7³·c_4_25·a_1_1·a_1_2 + c_2_7⁴·a_1_2·a_3_9 + c_2_7⁵·b_1_3²
       + c_2_7⁵·b_1_0² + c_2_7⁵·a_1_1·b_1_0 + c_2_7⁵·a_1_1·a_1_2
56. b_5_43·b_7_102 + b_1_0·b_1_3⁴·b_7_102 + b_1_0·b_1_3⁵·b_3_11·b_3_13
       + b_1_0²·b_1_3³·b_7_102 + b_1_0²·b_1_3⁷·b_3_14 + b_1_0²·b_1_3⁷·b_3_13
       + b_1_0³·b_1_3²·b_7_102 + b_1_0³·b_1_3³·b_3_11·b_3_13 + b_1_0³·b_1_3⁶·b_3_13
       + b_1_0⁴·b_1_3⁵·b_3_11 + b_1_0⁵·b_7_102 + b_1_0⁵·b_1_3²·b_5_43
       + b_1_0⁵·b_1_3⁴·b_3_13 + b_1_0⁵·b_1_3⁴·b_3_11 + b_1_0⁶·b_3_11·b_3_12
       + b_1_0⁶·b_1_3·b_5_44 + b_1_0⁶·b_1_3³·b_3_14 + b_1_0⁶·b_1_3³·b_3_13
       + b_1_0⁷·b_5_43 + b_1_0⁸·b_1_3·b_3_14 + b_1_0⁸·b_1_3·b_3_11 + b_1_0⁹·b_3_13
       + b_1_0⁹·b_3_11 + c_4_26·b_1_0·b_1_3²·b_5_44 + c_4_26·b_1_0·b_1_3⁴·b_3_14
       + c_4_26·b_1_0·b_1_3⁴·b_3_11 + c_4_26·b_1_0²·b_3_11·b_3_12
       + c_4_26·b_1_0²·b_1_3·b_5_43 + c_4_26·b_1_0²·b_1_3³·b_3_11
       + c_4_26·b_1_0²·b_1_3⁶ + c_4_26·b_1_0³·b_1_3²·b_3_11 + c_4_26·b_1_0³·b_1_3⁵
       + c_4_26·b_1_0⁴·b_1_3·b_3_13 + c_4_26·b_1_0⁴·b_1_3·b_3_12 + c_4_26·b_1_0⁵·b_3_13
       + c_4_26·b_1_0⁵·b_3_12 + c_4_26·b_1_0⁶·b_1_3² + c_4_26·b_1_0⁸
       + c_4_25·b_1_3²·b_3_11·b_3_13 + c_4_25·b_1_3³·b_5_44 + c_4_25·b_1_3⁵·b_3_14
       + c_4_25·b_1_3⁵·b_3_11 + c_4_25·b_1_0·b_7_102 + c_4_25·b_1_0·b_1_3²·b_5_44
       + c_4_25·b_1_0·b_1_3²·b_5_43 + c_4_25·b_1_0·b_1_3⁴·b_3_14
       + c_4_25·b_1_0·b_1_3⁴·b_3_13 + c_4_25·b_1_0·b_1_3⁴·b_3_11 + c_4_25·b_1_0·b_1_3⁷
       + c_4_25·b_1_0²·b_3_12·b_3_13 + c_4_25·b_1_0²·b_1_3·b_5_43
       + c_4_25·b_1_0²·b_1_3³·b_3_13 + c_4_25·b_1_0²·b_1_3³·b_3_11
       + c_4_25·b_1_0²·b_1_3⁶ + c_4_25·b_1_0³·b_5_44 + c_4_25·b_1_0⁴·b_1_3·b_3_13
       + c_4_25·b_1_0⁴·b_1_3·b_3_12 + c_4_25·b_1_0⁵·b_3_14 + c_4_25·b_1_0⁵·b_3_11
       + c_4_25·b_1_0⁵·b_1_3³ + c_4_25·b_1_0⁶·b_1_3² + c_4_25·b_1_0⁷·b_1_3
       + c_4_25·b_1_0⁸ + c_2_7·b_1_3³·b_7_102 + c_2_7·b_1_3⁵·b_5_43 + c_2_7·b_1_3⁷·b_3_13
       + c_2_7·b_1_3⁷·b_3_11 + c_2_7·b_1_0·b_1_3⁴·b_5_44 + c_2_7·b_1_0·b_1_3⁶·b_3_14
       + c_2_7·b_1_0·b_1_3⁶·b_3_11 + c_2_7·b_1_0·b_1_3⁹
       + c_2_7·b_1_0²·b_1_3²·b_3_11·b_3_13 + c_2_7·b_1_0²·b_1_3⁵·b_3_13
       + c_2_7·b_1_0²·b_1_3⁵·b_3_11 + c_2_7·b_1_0²·b_1_3⁸ + c_2_7·b_1_0⁴·b_3_11·b_3_13
       + c_2_7·b_1_0⁴·b_1_3·b_5_44 + c_2_7·b_1_0⁴·b_1_3³·b_3_13
       + c_2_7·b_1_0⁴·b_1_3³·b_3_11 + c_2_7·b_1_0⁵·b_5_44 + c_2_7·b_1_0⁵·b_1_3²·b_3_14
       + c_2_7·b_1_0⁵·b_1_3²·b_3_11 + c_2_7·b_1_0⁶·b_1_3·b_3_13 + c_2_7·b_1_0⁶·b_1_3⁴
       + c_2_7·b_1_0⁷·b_1_3³ + c_2_7·b_1_0¹⁰ + c_4_26²·b_1_0·b_3_12
       + c_4_26²·b_1_0·b_3_11 + c_4_25·c_4_26·b_1_3·b_3_14 + c_4_25·c_4_26·b_1_3·b_3_13
       + c_4_25·c_4_26·b_1_3·b_3_11 + c_4_25·c_4_26·b_1_0·b_3_14
       + c_4_25·c_4_26·b_1_0·b_3_12 + c_4_25·c_4_26·b_1_0·b_3_11
       + c_4_25·c_4_26·b_1_0·b_1_3³ + c_4_25·c_4_26·b_1_0²·b_1_3²
       + c_4_25·c_4_26·b_1_0³·b_1_3 + c_4_25²·b_1_3·b_3_14 + c_4_25²·b_1_0·b_3_13
       + c_4_25²·b_1_0·b_3_12 + c_4_25²·b_1_0²·b_1_3² + c_4_25²·b_1_0⁴
       + c_2_7·c_4_26·b_3_11·b_3_12 + c_2_7·c_4_26·b_1_3·b_5_43
       + c_2_7·c_4_26·b_1_3³·b_3_14 + c_2_7·c_4_26·b_1_3³·b_3_13 + c_2_7·c_4_26·b_1_3⁶
       + c_2_7·c_4_26·b_1_0·b_5_44 + c_2_7·c_4_26·b_1_0·b_1_3²·b_3_14
       + c_2_7·c_4_26·b_1_0²·b_1_3·b_3_14 + c_2_7·c_4_26·b_1_0²·b_1_3·b_3_12
       + c_2_7·c_4_26·b_1_0²·b_1_3·b_3_11 + c_2_7·c_4_26·b_1_0³·b_3_14
       + c_2_7·c_4_26·b_1_0³·b_3_12 + c_2_7·c_4_26·b_1_0³·b_1_3³
       + c_2_7·c_4_26·b_1_0⁴·b_1_3² + c_2_7·c_4_26·b_1_0⁵·b_1_3
       + c_2_7·c_4_25·b_3_11·b_3_13 + c_2_7·c_4_25·b_3_11·b_3_12
       + c_2_7·c_4_25·b_1_3³·b_3_13 + c_2_7·c_4_25·b_1_3³·b_3_11 + c_2_7·c_4_25·b_1_3⁶
       + c_2_7·c_4_25·b_1_0·b_5_43 + c_2_7·c_4_25·b_1_0·b_1_3²·b_3_13
       + c_2_7·c_4_25·b_1_0·b_1_3⁵ + c_2_7·c_4_25·b_1_0²·b_1_3·b_3_14
       + c_2_7·c_4_25·b_1_0²·b_1_3·b_3_13 + c_2_7·c_4_25·b_1_0²·b_1_3·b_3_11
       + c_2_7·c_4_25·b_1_0³·b_3_14 + c_2_7·c_4_25·b_1_0³·b_3_13
       + c_2_7·c_4_25·b_1_0³·b_3_12 + c_2_7·c_4_25·b_1_0⁵·b_1_3 + c_2_7·c_4_25·b_1_0⁶
       + c_2_7²·b_1_3·b_7_102 + c_2_7²·b_1_3²·b_3_11·b_3_13 + c_2_7²·b_1_3³·b_5_44
       + c_2_7²·b_1_3³·b_5_43 + c_2_7²·b_1_3⁵·b_3_11 + c_2_7²·b_1_0·b_7_102
       + c_2_7²·b_1_0·b_1_3²·b_5_44 + c_2_7²·b_1_0·b_1_3²·b_5_43
       + c_2_7²·b_1_0·b_1_3⁴·b_3_13 + c_2_7²·b_1_0·b_1_3⁴·b_3_11
       + c_2_7²·b_1_0²·b_3_11·b_3_13 + c_2_7²·b_1_0²·b_3_11·b_3_12
       + c_2_7²·b_1_0²·b_1_3³·b_3_14 + c_2_7²·b_1_0²·b_1_3³·b_3_11
       + c_2_7²·b_1_0³·b_5_44 + c_2_7²·b_1_0³·b_5_43 + c_2_7²·b_1_0⁴·b_1_3·b_3_12
       + c_2_7²·b_1_0⁴·b_1_3·b_3_11 + c_2_7²·b_1_0⁵·b_1_3³ + c_2_7²·b_1_0⁶·b_1_3²
       + c_2_7²·b_1_0⁸ + c_4_26²·a_1_1·b_3_13 + c_4_26²·a_1_1·b_3_11
       + c_4_25·c_4_26·a_1_1·b_3_13 + c_4_25²·a_1_1·b_3_11 + c_4_26²·a_1_1·a_3_9
       + c_4_25²·a_1_1·a_3_9 + c_2_7·c_4_26²·b_1_0·b_1_3 + c_2_7·c_4_26²·b_1_0²
       + c_2_7·c_4_25·c_4_26·b_1_0² + c_2_7·c_4_25²·b_1_3² + c_2_7·c_4_25²·b_1_0·b_1_3
       + c_2_7²·c_4_26·b_1_3·b_3_14 + c_2_7²·c_4_26·b_1_3·b_3_13
       + c_2_7²·c_4_26·b_1_3·b_3_12 + c_2_7²·c_4_26·b_1_3·b_3_11
       + c_2_7²·c_4_26·b_1_0·b_3_12 + c_2_7²·c_4_26·b_1_0·b_1_3³
       + c_2_7²·c_4_26·b_1_0⁴ + c_2_7²·c_4_25·b_1_3·b_3_13 + c_2_7²·c_4_25·b_1_3·b_3_12
       + c_2_7²·c_4_25·b_1_3·b_3_11 + c_2_7²·c_4_25·b_1_3⁴ + c_2_7²·c_4_25·b_1_0·b_3_11
       + c_2_7²·c_4_25·b_1_0²·b_1_3² + c_2_7³·b_3_11·b_3_13 + c_2_7³·b_3_11·b_3_12
       + c_2_7³·b_1_3·b_5_44 + c_2_7³·b_1_3·b_5_43 + c_2_7³·b_1_3³·b_3_14
       + c_2_7³·b_1_3³·b_3_13 + c_2_7³·b_1_0·b_5_44 + c_2_7³·b_1_0·b_5_43
       + c_2_7³·b_1_0·b_1_3²·b_3_13 + c_2_7³·b_1_0·b_1_3²·b_3_11
       + c_2_7³·b_1_0²·b_1_3·b_3_11 + c_2_7³·b_1_0²·b_1_3⁴ + c_2_7³·b_1_0³·b_3_14
       + c_2_7³·b_1_0³·b_3_13 + c_2_7³·b_1_0³·b_3_12 + c_2_7³·b_1_0³·b_3_11
       + c_2_7³·b_1_0⁴·b_1_3² + c_2_7·c_4_26²·a_1_1·b_1_3
       + c_2_7·c_4_25·c_4_26·a_1_1·b_1_0 + c_2_7·c_4_25²·a_1_1·b_1_3
       + c_2_7²·c_4_26·a_1_1·b_3_13 + c_2_7·c_4_25·c_4_26·a_1_1·a_1_2
       + c_2_7·c_4_25·c_4_26·a_1_1² + c_2_7³·c_4_25·b_1_0·b_1_3 + c_2_7³·c_4_25·b_1_0²
       + c_2_7⁴·b_1_3·b_3_14 + c_2_7⁴·b_1_3·b_3_11 + c_2_7⁴·b_1_0·b_3_11
       + c_2_7⁴·b_1_0³·b_1_3 + c_2_7⁴·a_1_1·b_3_13 + c_2_7³·c_4_26·a_1_1·a_1_2
       + c_2_7³·c_4_26·a_1_1² + c_2_7³·c_4_25·a_1_1·a_1_2 + c_2_7³·c_4_25·a_1_1²
       + c_2_7⁴·a_1_2·a_3_9 + c_2_7⁴·a_1_1·a_3_9 + c_2_7⁵·b_1_0² + c_2_7⁵·a_1_1·b_1_3
       + c_2_7⁵·a_1_1·b_1_0 + c_2_7⁵·a_1_1·a_1_2 + c_2_7⁵·a_1_1²
57. b_7_102² + b_1_3⁹·b_5_43 + b_1_0·b_1_3⁷·b_3_11·b_3_13 + b_1_0·b_1_3¹⁰·b_3_14
       + b_1_0²·b_1_3⁵·b_7_102 + b_1_0²·b_1_3⁶·b_3_11·b_3_13 + b_1_0²·b_1_3⁷·b_5_44
       + b_1_0²·b_1_3⁹·b_3_14 + b_1_0²·b_1_3⁹·b_3_13 + b_1_0³·b_1_3⁵·b_3_11·b_3_13
       + b_1_0³·b_1_3⁶·b_5_44 + b_1_0³·b_1_3⁸·b_3_14 + b_1_0³·b_1_3⁸·b_3_13
       + b_1_0⁴·b_1_3³·b_7_102 + b_1_0⁴·b_1_3⁷·b_3_14 + b_1_0⁵·b_1_3²·b_7_102
       + b_1_0⁵·b_1_3³·b_3_11·b_3_13 + b_1_0⁵·b_1_3⁶·b_3_14 + b_1_0⁵·b_1_3⁶·b_3_13
       + b_1_0⁵·b_1_3⁶·b_3_11 + b_1_0⁶·b_1_3³·b_5_44 + b_1_0⁶·b_1_3⁵·b_3_14
       + b_1_0⁶·b_1_3⁵·b_3_11 + b_1_0⁷·b_1_3²·b_5_44 + b_1_0⁸·b_3_12·b_3_13
       + b_1_0⁸·b_1_3·b_5_43 + b_1_0⁹·b_5_44 + b_1_0⁹·b_5_43 + b_1_0⁹·b_1_3²·b_3_13
       + b_1_0¹⁰·b_1_3·b_3_14 + b_1_0¹⁰·b_1_3·b_3_13 + b_1_0¹⁰·b_1_3·b_3_11
       + b_1_0¹¹·b_3_14 + b_1_0¹¹·b_3_13 + b_1_0¹¹·b_3_12 + c_4_26·b_1_3⁷·b_3_14
       + c_4_26·b_1_3⁷·b_3_13 + c_4_26·b_1_0·b_1_3⁶·b_3_13 + c_4_26·b_1_0·b_1_3⁹
       + c_4_26·b_1_0²·b_1_3³·b_5_44 + c_4_26·b_1_0²·b_1_3⁵·b_3_13
       + c_4_26·b_1_0²·b_1_3⁵·b_3_11 + c_4_26·b_1_0³·b_1_3⁴·b_3_11
       + c_4_26·b_1_0³·b_1_3⁷ + c_4_26·b_1_0⁴·b_3_11·b_3_12
       + c_4_26·b_1_0⁴·b_1_3³·b_3_13 + c_4_26·b_1_0⁴·b_1_3³·b_3_11
       + c_4_26·b_1_0⁴·b_1_3⁶ + c_4_26·b_1_0⁵·b_5_44 + c_4_26·b_1_0⁵·b_5_43
       + c_4_26·b_1_0⁵·b_1_3²·b_3_14 + c_4_26·b_1_0⁵·b_1_3²·b_3_13
       + c_4_26·b_1_0⁵·b_1_3²·b_3_11 + c_4_26·b_1_0⁵·b_1_3⁵
       + c_4_26·b_1_0⁶·b_1_3·b_3_13 + c_4_26·b_1_0⁷·b_3_14 + c_4_26·b_1_0⁷·b_3_13
       + c_4_26·b_1_0⁷·b_1_3³ + c_4_26·b_1_0⁹·b_1_3 + c_4_26·b_1_0¹⁰
       + c_4_25·b_1_3⁷·b_3_14 + c_4_25·b_1_3⁷·b_3_13 + c_4_25·b_1_3⁷·b_3_11
       + c_4_25·b_1_3¹⁰ + c_4_25·b_1_0·b_1_3⁴·b_5_43 + c_4_25·b_1_0·b_1_3⁶·b_3_14
       + c_4_25·b_1_0·b_1_3⁶·b_3_13 + c_4_25·b_1_0²·b_1_3³·b_5_44
       + c_4_25·b_1_0²·b_1_3³·b_5_43 + c_4_25·b_1_0²·b_1_3⁸
       + c_4_25·b_1_0³·b_1_3⁴·b_3_13 + c_4_25·b_1_0³·b_1_3⁴·b_3_11
       + c_4_25·b_1_0³·b_1_3⁷ + c_4_25·b_1_0⁴·b_3_12·b_3_13
       + c_4_25·b_1_0⁴·b_3_11·b_3_12 + c_4_25·b_1_0⁴·b_1_3·b_5_43
       + c_4_25·b_1_0⁴·b_1_3³·b_3_14 + c_4_25·b_1_0⁴·b_1_3³·b_3_13
       + c_4_25·b_1_0⁴·b_1_3⁶ + c_4_25·b_1_0⁵·b_1_3²·b_3_14
       + c_4_25·b_1_0⁶·b_1_3·b_3_14 + c_4_25·b_1_0⁶·b_1_3·b_3_13 + c_4_25·b_1_0⁶·b_1_3⁴
       + c_4_25·b_1_0⁷·b_3_13 + c_4_25·b_1_0⁷·b_3_12 + c_4_25·b_1_0⁷·b_3_11
       + c_4_25·b_1_0⁹·b_1_3 + c_4_25·b_1_0¹⁰ + c_2_7·b_1_3⁷·b_5_43 + c_2_7·b_1_3⁹·b_3_11
       + c_2_7·b_1_0·b_1_3⁵·b_3_11·b_3_13 + c_2_7·b_1_0·b_1_3⁸·b_3_14
       + c_2_7·b_1_0·b_1_3⁸·b_3_11 + c_2_7·b_1_0·b_1_3¹¹ + c_2_7·b_1_0²·b_1_3⁵·b_5_43
       + c_2_7·b_1_0²·b_1_3⁷·b_3_13 + c_2_7·b_1_0²·b_1_3⁷·b_3_11
       + c_2_7·b_1_0³·b_1_3³·b_3_11·b_3_13 + c_2_7·b_1_0³·b_1_3⁴·b_5_44
       + c_2_7·b_1_0³·b_1_3⁴·b_5_43 + c_2_7·b_1_0³·b_1_3⁶·b_3_13
       + c_2_7·b_1_0³·b_1_3⁹ + c_2_7·b_1_0⁴·b_1_3²·b_3_11·b_3_13
       + c_2_7·b_1_0⁵·b_1_3²·b_5_44 + c_2_7·b_1_0⁵·b_1_3⁴·b_3_14
       + c_2_7·b_1_0⁵·b_1_3⁴·b_3_11 + c_2_7·b_1_0⁵·b_1_3⁷ + c_2_7·b_1_0⁶·b_3_12·b_3_13
       + c_2_7·b_1_0⁶·b_1_3³·b_3_13 + c_2_7·b_1_0⁶·b_1_3³·b_3_11
       + c_2_7·b_1_0⁶·b_1_3⁶ + c_2_7·b_1_0⁷·b_5_44 + c_2_7·b_1_0⁷·b_5_43
       + c_2_7·b_1_0⁷·b_1_3²·b_3_14 + c_2_7·b_1_0⁷·b_1_3²·b_3_13
       + c_2_7·b_1_0⁷·b_1_3²·b_3_11 + c_2_7·b_1_0⁸·b_1_3·b_3_14
       + c_2_7·b_1_0⁸·b_1_3·b_3_13 + c_2_7·b_1_0⁸·b_1_3·b_3_12
       + c_2_7·b_1_0⁸·b_1_3·b_3_11 + c_2_7·b_1_0⁸·b_1_3⁴ + c_2_7·b_1_0⁹·b_3_14
       + c_2_7·b_1_0⁹·b_3_11 + c_2_7·b_1_0⁹·b_1_3³ + c_2_7·b_1_0¹⁰·b_1_3²
       + c_2_7·b_1_0¹¹·b_1_3 + c_4_26²·b_1_3³·b_3_14 + c_4_26²·b_1_3³·b_3_13
       + c_4_26²·b_1_0·b_1_3²·b_3_13 + c_4_26²·b_1_0²·b_1_3·b_3_14
       + c_4_26²·b_1_0²·b_1_3·b_3_13 + c_4_26²·b_1_0²·b_1_3⁴
       + c_4_26²·b_1_0⁴·b_1_3² + c_4_26²·b_1_0⁶ + c_4_25·c_4_26·b_1_3⁶
       + c_4_25·c_4_26·b_1_0·b_1_3²·b_3_14 + c_4_25·c_4_26·b_1_0·b_1_3²·b_3_13
       + c_4_25·c_4_26·b_1_0²·b_1_3·b_3_14 + c_4_25·c_4_26·b_1_0²·b_1_3·b_3_13
       + c_4_25·c_4_26·b_1_0²·b_1_3⁴ + c_4_25·c_4_26·b_1_0³·b_3_12
       + c_4_25·c_4_26·b_1_0³·b_1_3³ + c_4_25·c_4_26·b_1_0⁶ + c_4_25²·b_1_3³·b_3_11
       + c_4_25²·b_1_3⁶ + c_4_25²·b_1_0·b_1_3²·b_3_14 + c_4_25²·b_1_0·b_1_3⁵
       + c_4_25²·b_1_0²·b_1_3·b_3_13 + c_4_25²·b_1_0²·b_1_3·b_3_11
       + c_4_25²·b_1_0²·b_1_3⁴ + c_4_25²·b_1_0³·b_3_13 + c_4_25²·b_1_0³·b_3_12
       + c_4_25²·b_1_0³·b_3_11 + c_4_25²·b_1_0⁴·b_1_3² + c_4_25²·b_1_0⁶
       + c_2_7·c_4_26·b_1_3⁵·b_3_14 + c_2_7·c_4_26·b_1_3⁵·b_3_13 + c_2_7·c_4_26·b_1_3⁸
       + c_2_7·c_4_26·b_1_0·b_1_3⁴·b_3_13 + c_2_7·c_4_26·b_1_0²·b_1_3³·b_3_13
       + c_2_7·c_4_26·b_1_0³·b_1_3⁵ + c_2_7·c_4_26·b_1_0⁴·b_1_3·b_3_14
       + c_2_7·c_4_26·b_1_0⁴·b_1_3·b_3_12 + c_2_7·c_4_26·b_1_0⁴·b_1_3⁴
       + c_2_7·c_4_26·b_1_0⁵·b_3_14 + c_2_7·c_4_26·b_1_0⁵·b_3_13
       + c_2_7·c_4_26·b_1_0⁵·b_1_3³ + c_2_7·c_4_26·b_1_0⁶·b_1_3²
       + c_2_7·c_4_26·b_1_0⁷·b_1_3 + c_2_7·c_4_26·b_1_0⁸ + c_2_7·c_4_25·b_1_3⁵·b_3_14
       + c_2_7·c_4_25·b_1_3⁵·b_3_13 + c_2_7·c_4_25·b_1_3⁵·b_3_11
       + c_2_7·c_4_25·b_1_0·b_1_3⁴·b_3_14 + c_2_7·c_4_25·b_1_0·b_1_3⁴·b_3_13
       + c_2_7·c_4_25·b_1_0·b_1_3⁴·b_3_11 + c_2_7·c_4_25·b_1_0·b_1_3⁷
       + c_2_7·c_4_25·b_1_0²·b_1_3⁶ + c_2_7·c_4_25·b_1_0³·b_1_3²·b_3_14
       + c_2_7·c_4_25·b_1_0³·b_1_3²·b_3_13 + c_2_7·c_4_25·b_1_0³·b_1_3²·b_3_11
       + c_2_7·c_4_25·b_1_0⁴·b_1_3·b_3_12 + c_2_7·c_4_25·b_1_0⁴·b_1_3·b_3_11
       + c_2_7·c_4_25·b_1_0⁴·b_1_3⁴ + c_2_7·c_4_25·b_1_0⁵·b_3_12
       + c_2_7·c_4_25·b_1_0⁵·b_1_3³ + c_2_7·c_4_25·b_1_0⁶·b_1_3²
       + c_2_7·c_4_25·b_1_0⁷·b_1_3 + c_2_7·c_4_25·b_1_0⁸ + c_2_7²·b_1_0·b_1_3⁶·b_3_14
       + c_2_7²·b_1_0·b_1_3⁹ + c_2_7²·b_1_0²·b_1_3⁵·b_3_14
       + c_2_7²·b_1_0²·b_1_3⁵·b_3_13 + c_2_7²·b_1_0²·b_1_3⁸
       + c_2_7²·b_1_0³·b_1_3⁴·b_3_14 + c_2_7²·b_1_0³·b_1_3⁷
       + c_2_7²·b_1_0⁴·b_1_3³·b_3_11 + c_2_7²·b_1_0⁴·b_1_3⁶
       + c_2_7²·b_1_0⁵·b_1_3²·b_3_14 + c_2_7²·b_1_0⁵·b_1_3²·b_3_13
       + c_2_7²·b_1_0⁵·b_1_3⁵ + c_2_7²·b_1_0⁶·b_1_3·b_3_14 + c_2_7²·b_1_0⁶·b_1_3⁴
       + c_2_7²·b_1_0⁷·b_3_13 + c_2_7²·b_1_0⁷·b_3_12 + c_2_7²·b_1_0⁷·b_3_11
       + c_2_7²·b_1_0⁷·b_1_3³ + c_2_7²·b_1_0⁸·b_1_3² + c_2_7²·b_1_0¹⁰
       + c_4_26³·b_1_0² + c_4_25·c_4_26²·b_1_3² + c_4_25·c_4_26²·b_1_0²
       + c_4_25²·c_4_26·b_1_3² + c_4_25²·c_4_26·b_1_0² + c_4_25³·b_1_3²
       + c_2_7·c_4_26²·b_1_3⁴ + c_2_7·c_4_26²·b_1_0³·b_1_3
       + c_2_7·c_4_25·c_4_26·b_1_3⁴ + c_2_7·c_4_25·c_4_26·b_1_0·b_1_3³
       + c_2_7·c_4_25·c_4_26·b_1_0³·b_1_3 + c_2_7·c_4_25²·b_1_0·b_1_3³
       + c_2_7·c_4_25²·b_1_0³·b_1_3 + c_2_7·c_4_25²·b_1_0⁴
       + c_2_7²·c_4_26·b_1_0²·b_1_3⁴ + c_2_7²·c_4_25·b_1_0³·b_1_3³
       + c_2_7²·c_4_25·b_1_0⁶ + c_2_7³·b_1_0·b_1_3⁷ + c_2_7³·b_1_0³·b_1_3⁵
       + c_2_7³·b_1_0⁴·b_1_3⁴ + c_2_7³·b_1_0⁸ + c_4_26³·a_1_1·a_1_2
       + c_4_25·c_4_26²·a_1_1·a_1_2 + c_4_25·c_4_26²·a_1_1²
       + c_4_25²·c_4_26·a_1_1·a_1_2 + c_4_25³·a_1_1·a_1_2 + c_2_7²·c_4_26²·b_1_0²
       + c_2_7²·c_4_25²·b_1_3² + c_2_7²·c_4_25²·b_1_0² + c_2_7⁴·b_1_3³·b_3_11
       + c_2_7⁴·b_1_0·b_1_3²·b_3_14 + c_2_7⁴·b_1_0²·b_1_3·b_3_13
       + c_2_7⁴·b_1_0²·b_1_3·b_3_11 + c_2_7⁴·b_1_0³·b_3_13 + c_2_7⁴·b_1_0³·b_3_12
       + c_2_7⁴·b_1_0³·b_3_11 + c_2_7⁴·b_1_0⁴·b_1_3² + c_2_7⁴·b_1_0⁶
       + c_2_7²·c_4_26²·a_1_1² + c_2_7⁴·c_4_26·b_1_3² + c_2_7⁴·c_4_26·b_1_0²
       + c_2_7⁴·c_4_25·b_1_3² + c_2_7⁵·b_1_0·b_1_3³ + c_2_7⁵·b_1_0³·b_1_3
       + c_2_7⁵·b_1_0⁴ + c_2_7⁴·c_4_26·a_1_1·a_1_2 + c_2_7⁴·c_4_26·a_1_1²
       + c_2_7⁶·b_1_3² + c_2_7⁶·a_1_1·a_1_2 + c_2_7⁶·a_1_1²

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 14.
• 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_2_7, a Duflot regular element of degree 2
  2. c_4_25, a Duflot regular element of degree 4
  3. c_4_26, a Duflot regular element of degree 4
  4. b_1_3² + b_1_0·b_1_3 + b_1_0², an element of degree 2
  5. b_1_3², an element of degree 2
• The Raw Filter Degree Type of that HSOP is [-1, -1, -1, 5, 7, 9].
• The filter degree type of any filter regular HSOP is [-1, -2, -3, -4, -5, -5].

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 3

1. a_1_1 → 0, an element of degree 1
2. a_1_2 → 0, an element of degree 1
3. b_1_0 → 0, an element of degree 1
4. b_1_3 → 0, an element of degree 1
5. c_2_7 → c_1_2², an element of degree 2
6. a_3_9 → 0, an element of degree 3
7. b_3_11 → 0, an element of degree 3
8. b_3_12 → 0, an element of degree 3
9. b_3_13 → 0, an element of degree 3
10. b_3_14 → 0, an element of degree 3
11. c_4_25 → c_1_1⁴, an element of degree 4
12. c_4_26 → c_1_0⁴, an element of degree 4
13. b_5_43 → 0, an element of degree 5
14. b_5_44 → 0, an element of degree 5
15. b_7_102 → 0, an element of degree 7

Restriction map to a maximal el. ab. subgp. of rank 5

1. a_1_1 → 0, an element of degree 1
2. a_1_2 → 0, an element of degree 1
3. b_1_0 → c_1_3, an element of degree 1
4. b_1_3 → c_1_4, an element of degree 1
5. c_2_7 → c_1_2·c_1_3 + c_1_2², an element of degree 2
6. a_3_9 → 0, an element of degree 3
7. b_3_11 → c_1_2·c_1_3·c_1_4 + c_1_2²·c_1_4 + c_1_1·c_1_4² + c_1_1·c_1_3² + c_1_1²·c_1_4
      + c_1_1²·c_1_3 + c_1_0·c_1_3² + c_1_0²·c_1_3, an element of degree 3
8. b_3_12 → c_1_2·c_1_3·c_1_4 + c_1_2²·c_1_4 + c_1_2²·c_1_3, an element of degree 3
9. b_3_13 → c_1_2·c_1_4² + c_1_2·c_1_3² + c_1_2²·c_1_4 + c_1_1·c_1_4² + c_1_1²·c_1_4
      + c_1_0·c_1_4² + c_1_0·c_1_3² + c_1_0²·c_1_4 + c_1_0²·c_1_3, an element of degree 3
10. b_3_14 → c_1_2·c_1_3² + c_1_1·c_1_4² + c_1_1²·c_1_4 + c_1_0·c_1_4² + c_1_0·c_1_3²
       + c_1_0²·c_1_4 + c_1_0²·c_1_3, an element of degree 3
11. c_4_25 → c_1_2·c_1_4³ + c_1_2·c_1_3²·c_1_4 + c_1_2²·c_1_3·c_1_4 + c_1_2²·c_1_3²
       + c_1_1·c_1_3·c_1_4² + c_1_1·c_1_3²·c_1_4 + c_1_1·c_1_3³ + c_1_1²·c_1_4²
       + c_1_1²·c_1_3·c_1_4 + c_1_1⁴ + c_1_0·c_1_3·c_1_4² + c_1_0²·c_1_3·c_1_4, an element of degree 4
12. c_4_26 → c_1_2·c_1_4³ + c_1_2·c_1_3·c_1_4² + c_1_1·c_1_4³ + c_1_1·c_1_3²·c_1_4
       + c_1_1·c_1_3³ + c_1_1²·c_1_4² + c_1_1²·c_1_3·c_1_4 + c_1_1²·c_1_3²
       + c_1_0²·c_1_4² + c_1_0²·c_1_3·c_1_4 + c_1_0²·c_1_3² + c_1_0⁴, an element of degree 4
13. b_5_43 → c_1_2·c_1_4⁴ + c_1_2·c_1_3·c_1_4³ + c_1_2·c_1_3²·c_1_4² + c_1_2·c_1_3³·c_1_4
       + c_1_2²·c_1_4³ + c_1_2²·c_1_3·c_1_4² + c_1_2²·c_1_3²·c_1_4 + c_1_2²·c_1_3³
       + c_1_2³·c_1_4² + c_1_2³·c_1_3·c_1_4 + c_1_2³·c_1_3² + c_1_1·c_1_3·c_1_4³
       + c_1_1·c_1_3²·c_1_4² + c_1_1·c_1_2·c_1_4³ + c_1_1·c_1_2·c_1_3·c_1_4²
       + c_1_1·c_1_2·c_1_3²·c_1_4 + c_1_1·c_1_2²·c_1_4² + c_1_1·c_1_2²·c_1_3²
       + c_1_1²·c_1_4³ + c_1_1²·c_1_3·c_1_4² + c_1_1²·c_1_3²·c_1_4
       + c_1_1²·c_1_2·c_1_4² + c_1_1²·c_1_2²·c_1_4 + c_1_1²·c_1_2²·c_1_3
       + c_1_1⁴·c_1_4 + c_1_0·c_1_3²·c_1_4² + c_1_0·c_1_3³·c_1_4
       + c_1_0·c_1_2·c_1_3·c_1_4² + c_1_0·c_1_2·c_1_3²·c_1_4 + c_1_0·c_1_2·c_1_3³
       + c_1_0·c_1_2²·c_1_3² + c_1_0²·c_1_3·c_1_4² + c_1_0²·c_1_3²·c_1_4
       + c_1_0²·c_1_3³ + c_1_0²·c_1_2·c_1_3² + c_1_0²·c_1_2²·c_1_3 + c_1_0⁴·c_1_3, an element of degree 5
14. b_5_44 → c_1_2·c_1_4⁴ + c_1_2·c_1_3·c_1_4³ + c_1_2²·c_1_3³ + c_1_2³·c_1_3²
       + c_1_2⁴·c_1_3 + c_1_1·c_1_3²·c_1_4² + c_1_1·c_1_3³·c_1_4 + c_1_1·c_1_2·c_1_4³
       + c_1_1·c_1_2·c_1_3·c_1_4² + c_1_1·c_1_2²·c_1_3² + c_1_1²·c_1_3·c_1_4²
       + c_1_1²·c_1_3²·c_1_4 + c_1_1²·c_1_2·c_1_4² + c_1_1²·c_1_2·c_1_3·c_1_4
       + c_1_1²·c_1_2²·c_1_3 + c_1_0·c_1_4⁴ + c_1_0·c_1_3·c_1_4³ + c_1_0·c_1_2·c_1_4³
       + c_1_0·c_1_2·c_1_3·c_1_4² + c_1_0·c_1_2·c_1_3²·c_1_4 + c_1_0·c_1_2·c_1_3³
       + c_1_0·c_1_2²·c_1_4² + c_1_0²·c_1_4³ + c_1_0²·c_1_3·c_1_4²
       + c_1_0²·c_1_2·c_1_4² + c_1_0²·c_1_2·c_1_3² + c_1_0²·c_1_2²·c_1_4, an element of degree 5
15. b_7_102 → c_1_2·c_1_4⁶ + c_1_2·c_1_3·c_1_4⁵ + c_1_2·c_1_3²·c_1_4⁴
       + c_1_2·c_1_3⁴·c_1_4² + c_1_2²·c_1_3²·c_1_4³ + c_1_2²·c_1_3³·c_1_4²
       + c_1_2²·c_1_3⁴·c_1_4 + c_1_2³·c_1_4⁴ + c_1_2³·c_1_3·c_1_4³
       + c_1_2³·c_1_3²·c_1_4² + c_1_2⁴·c_1_3·c_1_4² + c_1_2⁵·c_1_4² + c_1_2⁶·c_1_4
       + c_1_1·c_1_3⁴·c_1_4² + c_1_1·c_1_3⁶ + c_1_1·c_1_2·c_1_4⁵
       + c_1_1·c_1_2·c_1_3³·c_1_4² + c_1_1·c_1_2·c_1_3⁴·c_1_4 + c_1_1·c_1_2·c_1_3⁵
       + c_1_1·c_1_2²·c_1_3²·c_1_4² + c_1_1·c_1_2²·c_1_3³·c_1_4
       + c_1_1·c_1_2⁴·c_1_4² + c_1_1²·c_1_3⁵ + c_1_1²·c_1_2·c_1_3·c_1_4³
       + c_1_1²·c_1_2·c_1_3³·c_1_4 + c_1_1²·c_1_2²·c_1_4³ + c_1_1²·c_1_2²·c_1_3³
       + c_1_1²·c_1_2⁴·c_1_4 + c_1_1³·c_1_4⁴ + c_1_1³·c_1_3·c_1_4³
       + c_1_1³·c_1_3³·c_1_4 + c_1_1³·c_1_2·c_1_3·c_1_4² + c_1_1³·c_1_2·c_1_3²·c_1_4
       + c_1_1⁴·c_1_4³ + c_1_1⁴·c_1_3·c_1_4² + c_1_1⁴·c_1_2·c_1_4²
       + c_1_1⁴·c_1_2·c_1_3² + c_1_1⁴·c_1_2²·c_1_4 + c_1_1⁴·c_1_2²·c_1_3
       + c_1_1⁵·c_1_4² + c_1_1⁶·c_1_4 + c_1_0·c_1_3·c_1_4⁵ + c_1_0·c_1_3²·c_1_4⁴
       + c_1_0·c_1_3⁴·c_1_4² + c_1_0·c_1_3⁵·c_1_4 + c_1_0·c_1_2·c_1_4⁵
       + c_1_0·c_1_2·c_1_3²·c_1_4³ + c_1_0·c_1_2·c_1_3⁵ + c_1_0·c_1_2²·c_1_4⁴
       + c_1_0·c_1_2²·c_1_3·c_1_4³ + c_1_0·c_1_2²·c_1_3²·c_1_4²
       + c_1_0·c_1_2⁴·c_1_4² + c_1_0·c_1_2⁴·c_1_3² + c_1_0·c_1_1·c_1_4⁵
       + c_1_0·c_1_1·c_1_3·c_1_4⁴ + c_1_0·c_1_1·c_1_3²·c_1_4³
       + c_1_0·c_1_1·c_1_3³·c_1_4² + c_1_0·c_1_1·c_1_3⁴·c_1_4 + c_1_0·c_1_1·c_1_3⁵
       + c_1_0·c_1_1·c_1_2·c_1_4⁴ + c_1_0·c_1_1·c_1_2·c_1_3²·c_1_4²
       + c_1_0·c_1_1·c_1_2·c_1_3⁴ + c_1_0·c_1_1²·c_1_3²·c_1_4²
       + c_1_0·c_1_1²·c_1_3³·c_1_4 + c_1_0·c_1_1²·c_1_2·c_1_4³
       + c_1_0·c_1_1²·c_1_2·c_1_3·c_1_4² + c_1_0·c_1_1²·c_1_2·c_1_3³
       + c_1_0·c_1_1⁴·c_1_4² + c_1_0·c_1_1⁴·c_1_3² + c_1_0²·c_1_3²·c_1_4³
       + c_1_0²·c_1_3³·c_1_4² + c_1_0²·c_1_2·c_1_4⁴ + c_1_0²·c_1_2·c_1_3³·c_1_4
       + c_1_0²·c_1_2·c_1_3⁴ + c_1_0²·c_1_2²·c_1_4³ + c_1_0²·c_1_2²·c_1_3³
       + c_1_0²·c_1_2⁴·c_1_4 + c_1_0²·c_1_2⁴·c_1_3 + c_1_0²·c_1_1·c_1_3·c_1_4³
       + c_1_0²·c_1_1·c_1_3²·c_1_4² + c_1_0²·c_1_1·c_1_2·c_1_4³
       + c_1_0²·c_1_1·c_1_2·c_1_3²·c_1_4 + c_1_0²·c_1_1·c_1_2·c_1_3³
       + c_1_0²·c_1_1²·c_1_4³ + c_1_0²·c_1_1²·c_1_3³
       + c_1_0²·c_1_1²·c_1_2·c_1_4² + c_1_0²·c_1_1²·c_1_2·c_1_3·c_1_4
       + c_1_0²·c_1_1²·c_1_2·c_1_3² + c_1_0²·c_1_1⁴·c_1_4 + c_1_0²·c_1_1⁴·c_1_3
       + c_1_0³·c_1_3·c_1_4³ + c_1_0³·c_1_3³·c_1_4 + c_1_0³·c_1_3⁴
       + c_1_0³·c_1_2·c_1_3·c_1_4² + c_1_0³·c_1_2·c_1_3²·c_1_4 + c_1_0⁴·c_1_3·c_1_4²
       + c_1_0⁴·c_1_3²·c_1_4 + c_1_0⁴·c_1_3³ + c_1_0⁴·c_1_2²·c_1_3
       + c_1_0⁴·c_1_1·c_1_4² + c_1_0⁴·c_1_1·c_1_3² + c_1_0⁴·c_1_1²·c_1_4
       + c_1_0⁴·c_1_1²·c_1_3 + c_1_0⁵·c_1_3² + c_1_0⁶·c_1_3, an element of degree 7

About the group

Ring generators

Ring relations

Completion information

Restriction maps

Back to groups of order 128