David J. Green

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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_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. b_3_10 → 0, an element of degree 3
6. b_4_12 → 0, an element of degree 4
7. b_4_13 → 0, an element of degree 4
8. c_4_14 → c_1_1⁴, an element of degree 4
9. a_5_12 → 0, an element of degree 5
10. b_5_22 → 0, an element of degree 5
11. b_5_23 → 0, an element of degree 5
12. b_6_35 → 0, an element of degree 6
13. b_7_45 → 0, an element of degree 7
14. b_8_54 → 0, an element of degree 8
15. c_8_56 → c_1_1⁸ + c_1_0⁸, an element of degree 8
16. b_10_99 → 0, an element of degree 10

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

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_2, an element of degree 1
4. b_1_3 → c_1_3, an element of degree 1
5. b_3_10 → c_1_1·c_1_2² + c_1_1²·c_1_2, an element of degree 3
6. b_4_12 → c_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_13 → c_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_14 → c_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_12 → 0, an element of degree 5
10. b_5_22 → c_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_23 → c_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_35 → c_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_45 → c_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_54 → c_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_56 → c_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_99 → c_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