David J. Green

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Cohomology of group number 554 of order 128

About the group

Ring generators

Ring relations

Completion information

Restriction maps

Back to groups of order 128

General information on the group

• The group has 3 minimal generators and exponent 8.
• It is non-abelian.
• It has p-Rank 4.
• Its center has rank 2.
• It has a unique conjugacy class of maximal elementary abelian subgroups, which is of rank 4.

Structure of the cohomology ring

General information

• The cohomology ring is of dimension 4 and depth 2.
• The depth coincides with the Duflot bound.
• The Poincaré series is

  t9  −  t8  +  t7  +  t5  −  t4  +  t3  +  t2  +  1

  (t  +  1) · (t  −  1)4 · (t2  +  1)2 · (t4  +  1)

• The a-invariants are -∞,-∞,-4,-4,-4. They were obtained using the filter regular HSOP of the Benson test.

About the group

Ring generators

Ring relations

Completion information

Restriction maps

Back to groups of order 128

Ring generators

The cohomology ring has 22 minimal generators of maximal degree 8:

1. a_1_0, a nilpotent element of degree 1
2. a_1_2, a nilpotent element of degree 1
3. b_1_1, an element of degree 1
4. a_2_3, a nilpotent element of degree 2
5. a_2_1, a nilpotent element of degree 2
6. b_2_5, an element of degree 2
7. a_3_4, a nilpotent element of degree 3
8. a_3_5, a nilpotent element of degree 3
9. b_3_9, an element of degree 3
10. b_3_10, an element of degree 3
11. a_4_7, a nilpotent element of degree 4
12. a_4_8, a nilpotent element of degree 4
13. c_4_16, a Duflot regular element of degree 4
14. a_5_0, a nilpotent element of degree 5
15. b_5_23, an element of degree 5
16. a_6_19, a nilpotent element of degree 6
17. b_6_31, an element of degree 6
18. a_7_27, a nilpotent element of degree 7
19. b_7_41, an element of degree 7
20. b_7_44, an element of degree 7
21. a_8_35, a nilpotent element of degree 8
22. c_8_58, a Duflot regular element of degree 8

About the group

Ring generators

Ring relations

Completion information

Restriction maps

Back to groups of order 128

Ring relations

There are 165 minimal relations of maximal degree 16:

1. a_1_0²
2. a_1_0·a_1_2
3. a_1_0·b_1_1 + a_1_2²
4. a_1_2²·b_1_1
5. a_2_3·a_1_0
6. a_2_1·a_1_0 + a_2_3·a_1_2
7. a_1_2·b_1_1² + a_2_3·b_1_1 + a_2_1·a_1_2
8. a_1_2·b_1_1² + b_2_5·a_1_0
9. a_2_3²
10. a_2_1·a_1_2·b_1_1 + a_2_3·a_2_1 + a_2_1·a_1_2²
11. a_2_1·a_1_2·b_1_1 + a_2_1² + a_2_1·a_1_2²
12. a_1_0·a_3_4 + a_2_1·a_1_2²
13. a_1_2·a_3_4
14. a_1_0·a_3_5 + a_2_1·a_1_2·b_1_1
15. b_1_1·a_3_4 + b_2_5·a_1_2·b_1_1 + a_2_3·b_2_5 + a_1_2·a_3_5 + a_2_1·a_1_2²
16. a_1_0·b_3_9 + b_2_5·a_1_2² + a_2_1·a_1_2·b_1_1
17. a_1_2·b_3_9 + a_2_3·b_2_5
18. b_1_1·a_3_4 + a_1_0·b_3_10
19. b_1_1·a_3_5 + a_1_2·b_3_10 + a_2_1·b_2_5 + b_2_5·a_1_2² + a_2_1·a_1_2·b_1_1
20. a_2_3·b_2_5·b_1_1 + a_2_1·b_2_5·a_1_2
21. a_2_3·a_3_4
22. a_2_3·b_3_9 + a_1_2²·a_3_5
23. a_1_2·b_1_1·b_3_10 + b_2_5·a_3_4
24. a_2_3·b_2_5·b_1_1 + a_1_2²·b_3_10 + a_2_1·a_3_4 + a_2_3·a_3_5 + a_1_2²·a_3_5
25. b_2_5·a_3_4 + a_2_3·b_3_10 + a_2_3·b_2_5·b_1_1 + a_2_1·a_3_5 + a_1_2²·a_3_5
26. a_4_7·b_1_1 + a_2_1·b_3_9 + a_2_1·b_1_1³ + a_2_1·b_2_5·b_1_1 + a_2_3·b_2_5·b_1_1
       + a_2_1·a_3_5 + a_2_1·a_3_4 + a_2_3·a_3_5
27. a_4_7·a_1_0
28. a_4_7·a_1_2 + a_2_1·a_3_4 + a_1_2²·a_3_5
29. a_4_8·b_1_1 + b_2_5²·a_1_2 + a_2_1·b_3_10 + a_2_1·b_3_9 + a_2_1·b_2_5·b_1_1
       + a_2_3·b_2_5·b_1_1 + a_2_1·a_3_5 + a_2_1·a_3_4 + a_2_3·a_3_5
30. a_4_8·a_1_0 + a_2_1·a_3_4
31. a_2_3·b_2_5·b_1_1 + a_4_8·a_1_2 + a_2_1·a_3_5 + a_2_1·a_3_4 + a_1_2²·a_3_5
32. a_3_4²
33. b_3_9² + b_2_5·b_1_1⁴ + b_2_5²·b_1_1² + a_2_3·b_2_5² + a_2_3·a_2_1·b_2_5
34. a_3_4·b_3_10 + a_3_4·b_3_9 + a_3_5² + a_3_4·a_3_5 + b_2_5·a_1_2·a_3_5
       + a_2_3·a_2_1·b_2_5
35. a_3_4·b_3_9 + a_2_3·b_1_1·b_3_10
36. a_3_4·a_3_5 + a_2_1·a_1_2·b_3_10
37. a_2_3·b_2_5² + a_3_5² + a_2_3·a_2_1·b_2_5 + a_2_1·a_1_2·a_3_5 + c_4_16·a_1_2²
38. a_3_5·b_3_9 + b_2_5·a_1_2·b_3_10 + b_2_5·a_4_7 + a_2_1·b_2_5·b_1_1² + a_2_1·b_2_5²
       + b_2_5·a_1_2·a_3_5 + a_2_3·a_2_1·b_2_5
39. a_2_3·a_4_7 + a_2_1·a_1_2·a_3_5
40. a_2_1·a_4_7
41. a_3_5·b_3_10 + a_3_5·b_3_9 + a_3_4·b_3_9 + b_2_5·a_1_2·b_3_10 + b_2_5·a_4_8
       + a_2_1·b_2_5² + a_3_4·a_3_5 + b_2_5·a_1_2·a_3_5 + a_2_3·a_2_1·b_2_5
       + a_2_1·a_1_2·a_3_5 + c_4_16·a_1_2·b_1_1
42. a_3_4·a_3_5 + a_2_3·a_4_8 + a_2_3·a_2_1·b_2_5
43. a_3_4·b_3_9 + b_2_5·a_1_2·a_3_5 + a_2_1·a_4_8
44. b_3_10² + b_1_1³·b_3_9 + b_1_1⁶ + b_2_5·b_1_1⁴ + b_2_5³ + b_1_1·a_5_0
       + b_2_5·a_1_2·b_3_10 + a_2_1·b_1_1·b_3_10 + a_2_1·b_1_1·b_3_9 + a_2_1·b_1_1⁴
       + a_2_3·a_2_1·b_2_5 + a_2_1·a_1_2·a_3_5 + c_4_16·b_1_1²
45. a_1_0·a_5_0 + a_2_3·a_2_1·b_2_5
46. a_3_4·b_3_9 + a_3_4·a_3_5 + a_1_2·a_5_0 + a_2_1·a_1_2·a_3_5
47. a_1_0·b_5_23 + a_2_3·b_2_5² + a_3_5² + a_2_1·a_1_2·a_3_5
48. b_3_10² + b_1_1³·b_3_9 + b_1_1⁶ + b_2_5·b_1_1⁴ + b_2_5³ + a_1_2·b_5_23
       + a_2_1·b_1_1·b_3_10 + a_2_1·b_1_1·b_3_9 + a_3_5² + a_3_4·a_3_5 + c_4_16·b_1_1²
       + c_4_16·a_1_2·b_1_1
49. a_4_7·a_3_5 + a_2_1·b_2_5²·a_1_2 + a_2_3·a_2_1·b_3_10 + a_2_3·c_4_16·a_1_2
50. a_4_7·a_3_4
51. a_4_7·b_3_9 + a_2_1·b_1_1²·b_3_9 + a_2_1·b_2_5·b_3_9 + a_2_1·b_2_5·b_1_1³
       + a_2_1·b_2_5²·b_1_1 + a_2_1·b_2_5·a_3_5 + a_2_3·b_2_5·a_3_5 + a_2_3·a_2_1·b_3_10
52. a_2_3·b_2_5·b_3_10 + a_4_8·a_3_5 + a_2_1·b_2_5²·a_1_2 + a_2_3·a_2_1·b_3_10
       + a_2_1·c_4_16·a_1_2 + a_2_3·c_4_16·a_1_2
53. a_4_8·a_3_4 + a_2_3·b_2_5·a_3_5 + a_2_3·a_2_1·b_3_10 + a_2_3·c_4_16·a_1_2
54. a_4_8·b_3_9 + a_4_7·b_3_10 + b_2_5³·a_1_2 + a_2_1·b_1_1²·b_3_10 + a_2_1·b_2_5·b_3_10
       + a_2_1·b_2_5·b_3_9 + a_2_1·b_2_5·b_1_1³ + a_2_1·b_2_5²·b_1_1 + a_2_1·b_2_5²·a_1_2
       + a_2_3·b_2_5·a_3_5 + a_2_3·a_2_1·b_3_10 + a_2_1·c_4_16·a_1_2
55. a_2_1·b_2_5²·a_1_2 + a_2_3·a_5_0 + a_2_3·b_2_5·a_3_5
56. a_4_8·b_3_10 + a_4_7·b_3_10 + b_2_5²·a_3_5 + a_2_1·b_1_1²·b_3_10 + a_2_1·b_1_1²·b_3_9
       + a_2_1·b_1_1⁵ + a_2_1·b_2_5·b_1_1³ + a_2_1·a_5_0 + a_2_1·b_2_5·a_3_5
       + a_2_3·a_2_1·b_3_10 + a_2_1·c_4_16·b_1_1
57. b_1_1²·b_5_23 + b_1_1⁴·b_3_9 + b_2_5²·b_3_9 + b_2_5³·b_1_1 + b_2_5·a_5_0
       + b_2_5²·a_3_5 + b_2_5³·a_1_2 + a_2_1·b_2_5·b_1_1³ + a_2_1·b_2_5²·b_1_1
       + a_2_1·b_2_5·a_3_5 + a_2_3·b_2_5·a_3_5 + a_2_3·a_2_1·b_3_10 + c_4_16·b_1_1³
       + a_2_3·c_4_16·b_1_1 + a_2_1·c_4_16·a_1_2
58. a_1_2·b_1_1·b_5_23 + a_2_3·b_2_5·b_3_10 + a_2_1·b_2_5·a_3_5 + a_2_1·b_2_5²·a_1_2
       + a_2_3·b_2_5·a_3_5 + a_2_3·a_2_1·b_3_10 + a_2_3·c_4_16·b_1_1 + a_2_1·c_4_16·a_1_2
59. a_4_8·b_3_10 + a_4_7·b_3_10 + b_2_5²·a_3_5 + a_2_1·b_1_1²·b_3_10 + a_2_1·b_1_1²·b_3_9
       + a_2_1·b_1_1⁵ + a_2_1·b_2_5·b_1_1³ + a_2_3·b_5_23 + a_2_3·b_2_5·b_3_10
       + a_2_1·b_2_5·a_3_5 + a_2_1·b_2_5²·a_1_2 + a_2_3·b_2_5·a_3_5 + a_2_1·c_4_16·b_1_1
       + a_2_3·c_4_16·b_1_1 + a_2_3·c_4_16·a_1_2
60. a_6_19·b_1_1 + a_2_1·b_5_23 + a_2_1·b_1_1²·b_3_10 + a_2_1·b_1_1²·b_3_9
       + a_2_1·b_2_5·b_3_10 + a_2_1·b_2_5·b_3_9 + a_2_1·b_2_5²·b_1_1 + a_2_3·b_2_5·a_3_5
       + a_2_3·a_2_1·b_3_10 + a_2_3·c_4_16·b_1_1
61. a_6_19·a_1_0 + a_2_3·a_2_1·b_3_10 + a_2_3·c_4_16·a_1_2
62. a_4_8·b_3_10 + a_4_7·b_3_10 + b_2_5²·a_3_5 + a_2_1·b_1_1²·b_3_10 + a_2_1·b_1_1²·b_3_9
       + a_2_1·b_1_1⁵ + a_2_1·b_2_5·b_1_1³ + a_6_19·a_1_2 + a_2_1·b_2_5·a_3_5
       + a_2_1·b_2_5²·a_1_2 + a_2_1·c_4_16·b_1_1 + a_2_1·c_4_16·a_1_2
63. b_6_31·a_1_0 + a_2_1·b_2_5²·a_1_2 + a_2_3·b_2_5·a_3_5 + a_2_3·c_4_16·a_1_2
64. b_6_31·a_1_2 + b_2_5·a_5_0 + a_2_1·b_2_5·b_1_1³ + a_2_3·b_2_5·b_3_10
       + a_2_1·b_2_5·a_3_5 + a_2_3·b_2_5·a_3_5 + a_2_1·c_4_16·a_1_2 + a_2_3·c_4_16·a_1_2
65. a_4_7²
66. a_4_8² + b_2_5·a_3_5² + a_2_1·b_2_5·a_1_2·a_3_5 + b_2_5·c_4_16·a_1_2²
       + a_2_3·a_2_1·c_4_16
67. a_4_7·a_4_8 + a_2_3·b_2_5·a_4_8 + a_2_1·b_2_5·a_1_2·a_3_5
68. b_3_9·a_5_0 + b_2_5·a_1_2·b_5_23 + b_2_5²·a_1_2·b_3_10 + a_2_1·b_1_1³·b_3_9
       + a_3_5·a_5_0 + b_2_5·a_3_5² + a_2_3·b_2_5·a_4_8 + a_2_1·b_2_5·a_1_2·a_3_5
       + b_2_5·c_4_16·a_1_2·b_1_1 + b_2_5·c_4_16·a_1_2² + a_2_1·c_4_16·a_1_2²
69. a_3_4·b_5_23 + b_2_5·a_3_5² + a_2_1·b_2_5·a_4_8 + b_2_5·c_4_16·a_1_2·b_1_1
       + a_2_3·b_2_5·c_4_16 + c_4_16·a_1_2·a_3_5 + b_2_5·c_4_16·a_1_2²
       + a_2_1·c_4_16·a_1_2²
70. b_2_5²·a_4_7 + a_2_1·b_1_1·b_5_23 + a_2_1·b_1_1³·b_3_9 + a_2_1·b_2_5²·b_1_1²
       + a_3_5·a_5_0 + a_2_1·b_2_5·a_4_8 + a_2_3·b_2_5·a_4_8 + a_2_1·c_4_16·b_1_1²
       + b_2_5·c_4_16·a_1_2² + a_2_3·a_2_1·c_4_16
71. a_3_4·a_5_0 + a_2_1·a_1_2·b_5_23 + a_2_3·b_2_5·a_4_8 + a_2_1·b_2_5·a_1_2·a_3_5
       + a_2_3·a_2_1·c_4_16
72. b_3_9·b_5_23 + b_2_5·b_1_1·b_5_23 + b_2_5·b_1_1³·b_3_9 + b_2_5·b_1_1⁶
       + b_2_5²·b_1_1⁴ + b_2_5³·b_1_1² + b_3_10·a_5_0 + a_3_5·b_5_23
       + b_2_5²·a_1_2·b_3_10 + b_2_5²·a_4_7 + a_2_1·b_1_1³·b_3_10 + a_2_1·b_2_5·b_1_1·b_3_9
       + a_2_1·b_2_5²·b_1_1² + a_3_4·a_5_0 + a_2_1·b_2_5·a_4_8 + a_2_3·b_2_5·a_4_8
       + a_2_1·b_2_5·a_1_2·a_3_5 + c_4_16·b_1_1·b_3_9 + b_2_5·c_4_16·b_1_1²
       + c_4_16·a_1_2·b_3_10 + a_2_1·b_2_5·c_4_16 + a_2_3·b_2_5·c_4_16 + c_4_16·a_1_2·a_3_5
       + b_2_5·c_4_16·a_1_2²
73. b_3_10·a_5_0 + a_3_5·b_5_23 + b_2_5·a_6_19 + b_2_5²·a_1_2·b_3_10 + b_2_5²·a_4_8
       + a_2_1·b_1_1³·b_3_10 + a_2_1·b_2_5·b_1_1·b_3_10 + a_2_1·b_2_5·b_1_1·b_3_9
       + a_3_4·a_5_0 + a_2_1·b_2_5·a_4_8 + a_2_3·b_2_5·a_4_8 + a_2_1·b_2_5·a_1_2·a_3_5
       + c_4_16·a_1_2·b_3_10 + c_4_16·a_1_2·a_3_5
74. a_3_4·a_5_0 + a_2_3·a_6_19 + a_2_1·b_2_5·a_1_2·a_3_5 + a_2_3·a_2_1·c_4_16
       + a_2_1·c_4_16·a_1_2²
75. a_3_4·a_5_0 + a_2_1·a_6_19 + a_2_1·b_2_5·a_1_2·a_3_5
76. b_3_9·a_5_0 + a_2_1·b_1_1³·b_3_9 + a_2_3·b_6_31 + a_3_4·a_5_0 + a_2_3·b_2_5·a_4_8
       + a_2_3·a_2_1·c_4_16 + a_2_1·c_4_16·a_1_2²
77. b_3_10·a_5_0 + b_3_9·a_5_0 + b_1_1·a_7_27 + a_2_1·b_3_9·b_3_10 + a_2_1·b_1_1³·b_3_9
       + a_2_1·b_6_31 + a_2_1·b_2_5·b_1_1·b_3_10 + a_3_5·a_5_0 + a_2_1·b_2_5·a_4_8
       + a_2_1·b_2_5·a_1_2·a_3_5 + c_4_16·a_1_2·b_3_10 + b_2_5·c_4_16·a_1_2·b_1_1
       + a_2_1·b_2_5·c_4_16 + b_2_5·c_4_16·a_1_2² + a_2_3·a_2_1·c_4_16
       + a_2_1·c_4_16·a_1_2²
78. a_1_0·a_7_27 + a_2_1·b_2_5·a_1_2·a_3_5 + a_2_3·a_2_1·c_4_16 + a_2_1·c_4_16·a_1_2²
79. a_3_5·a_5_0 + a_3_4·a_5_0 + a_1_2·a_7_27 + a_2_3·b_2_5·a_4_8 + a_2_1·b_2_5·a_1_2·a_3_5
       + c_4_16·a_1_2·a_3_5 + b_2_5·c_4_16·a_1_2² + a_2_1·c_4_16·a_1_2²
80. b_1_1·b_7_41 + b_1_1²·b_3_9·b_3_10 + b_1_1⁵·b_3_9 + b_1_1⁸ + b_6_31·b_1_1²
       + b_2_5·b_3_9·b_3_10 + b_2_5·b_1_1³·b_3_9 + b_2_5·b_1_1⁶ + b_2_5²·b_1_1⁴
       + b_2_5²·a_1_2·b_3_10 + b_2_5²·a_4_8 + a_2_1·b_6_31 + a_2_1·b_2_5·b_1_1·b_3_9
       + a_3_5·a_5_0 + a_3_4·a_5_0 + b_2_5·a_3_5² + a_2_1·b_2_5·a_4_8 + c_4_16·b_1_1⁴
       + b_2_5·c_4_16·a_1_2² + a_2_1·c_4_16·a_1_2²
81. a_1_0·b_7_41 + a_3_4·a_5_0 + a_2_1·b_2_5·a_1_2·a_3_5 + a_2_1·c_4_16·a_1_2²
82. b_3_9·a_5_0 + a_1_2·b_7_41 + b_2_5²·a_1_2·b_3_10 + a_2_1·b_1_1³·b_3_9 + b_2_5·a_3_5²
       + a_2_1·b_2_5·a_4_8 + a_2_3·a_2_1·c_4_16 + a_2_1·c_4_16·a_1_2²
83. a_1_0·b_7_44 + b_2_5·c_4_16·a_1_2·b_1_1 + a_2_3·b_2_5·c_4_16 + c_4_16·a_1_2·a_3_5
       + a_2_3·a_2_1·c_4_16
84. b_3_10·a_5_0 + a_1_2·b_7_44 + a_2_1·b_1_1³·b_3_10 + c_4_16·a_1_2·b_3_10
       + a_2_3·b_2_5·c_4_16 + b_2_5·c_4_16·a_1_2² + a_2_3·a_2_1·c_4_16
       + a_2_1·c_4_16·a_1_2²
85. a_4_7·a_5_0 + c_4_16·a_1_2²·a_3_5
86. a_4_7·b_5_23 + a_2_1·b_1_1⁴·b_3_9 + a_2_1·b_2_5·b_1_1²·b_3_9 + a_2_1·b_2_5·b_1_1⁵
       + a_2_1·b_2_5²·b_3_9 + a_2_1·b_2_5²·b_1_1³ + a_4_8·a_5_0 + a_2_1·b_2_5·a_5_0
       + a_2_1·c_4_16·b_3_9 + a_2_1·c_4_16·b_1_1³ + a_2_1·b_2_5·c_4_16·b_1_1
       + a_2_1·c_4_16·a_3_5 + a_2_3·c_4_16·a_3_5
87. a_6_19·b_3_10 + a_4_8·b_5_23 + b_2_5·a_4_7·b_3_10 + b_2_5²·a_5_0 + b_2_5³·a_3_5
       + b_2_5⁴·a_1_2 + a_2_1·b_1_1·b_3_9·b_3_10 + a_2_1·b_1_1⁴·b_3_9 + a_2_1·b_1_1⁷
       + a_2_1·b_2_5·b_1_1²·b_3_10 + a_2_1·b_2_5·b_1_1⁵ + a_2_1·b_2_5²·b_1_1³
       + a_4_8·a_5_0 + a_2_1·b_2_5·a_5_0 + a_2_1·b_2_5²·a_3_5 + b_2_5²·c_4_16·a_1_2
       + a_2_1·c_4_16·b_3_9 + a_2_1·c_4_16·b_1_1³ + a_2_3·c_4_16·b_3_10 + a_2_1·c_4_16·a_3_5
       + a_2_1·c_4_16·a_3_4
88. a_6_19·a_3_5 + a_4_8·a_5_0 + a_2_1·b_2_5·a_5_0 + a_2_1·b_2_5²·a_3_5 + a_3_5³
       + a_2_1·c_4_16·a_3_5 + a_2_1·c_4_16·a_3_4 + a_2_3·c_4_16·a_3_5 + c_4_16·a_1_2²·a_3_5
89. a_6_19·a_3_4 + a_2_1·c_4_16·a_3_4 + c_4_16·a_1_2²·a_3_5
90. a_6_19·b_3_9 + b_2_5·a_4_7·b_3_10 + a_2_1·b_1_1·b_3_9·b_3_10 + a_2_1·b_2_5·b_5_23
       + a_2_1·b_2_5·b_1_1²·b_3_10 + a_2_1·b_2_5·b_1_1²·b_3_9 + a_2_1·b_2_5²·b_3_10
       + a_2_1·b_2_5²·b_3_9 + a_2_1·b_2_5²·b_1_1³ + a_2_1·b_2_5·a_5_0 + a_3_5³
       + a_2_1·c_4_16·b_3_9 + a_2_1·b_2_5·c_4_16·b_1_1 + a_2_1·b_2_5·c_4_16·a_1_2
91. b_6_31·a_3_5 + b_6_31·a_3_4 + b_2_5·a_7_27 + b_2_5·a_4_7·b_3_10 + b_2_5²·a_5_0
       + b_2_5⁴·a_1_2 + a_2_1·b_2_5²·b_1_1³ + a_2_1·b_2_5·a_5_0 + a_3_5³
       + b_2_5·c_4_16·a_3_5 + b_2_5²·c_4_16·a_1_2 + a_2_1·c_4_16·a_3_5 + c_4_16·a_1_2²·a_3_5
92. a_2_1·b_2_5·a_5_0 + a_2_3·a_7_27 + a_2_3·c_4_16·a_3_5
93. a_4_8·a_5_0 + a_2_1·a_7_27 + a_2_1·c_4_16·a_3_5 + a_2_1·b_2_5·c_4_16·a_1_2
94. b_1_1·b_3_10·b_5_23 + b_1_1³·b_3_9·b_3_10 + b_2_5·b_7_41 + b_2_5·b_1_1·b_3_9·b_3_10
       + b_2_5·b_1_1⁴·b_3_9 + b_2_5·b_1_1⁷ + b_2_5·b_6_31·b_1_1 + b_2_5²·b_1_1²·b_3_9
       + b_2_5²·b_1_1⁵ + b_2_5³·b_3_10 + b_2_5³·b_1_1³ + b_6_31·a_3_5 + b_6_31·a_3_4
       + a_2_1·b_2_5·b_5_23 + a_2_1·b_2_5·b_1_1²·b_3_9 + a_2_1·b_2_5²·b_3_10
       + a_2_1·b_2_5²·b_3_9 + b_2_5·a_4_8·a_3_5 + c_4_16·b_1_1²·b_3_10
       + b_2_5·c_4_16·b_1_1³ + b_2_5²·c_4_16·a_1_2 + a_2_1·b_2_5·c_4_16·b_1_1
       + a_2_3·c_4_16·b_3_10 + a_2_1·b_2_5·c_4_16·a_1_2 + c_4_16·a_1_2²·a_3_5
95. a_2_3·b_7_41 + b_2_5·a_4_8·a_3_5 + a_2_1·b_2_5·c_4_16·a_1_2 + c_4_16·a_1_2²·a_3_5
96. b_2_5·a_4_7·b_3_10 + a_2_1·b_7_41 + a_2_1·b_1_1·b_3_9·b_3_10 + a_2_1·b_1_1⁴·b_3_9
       + a_2_1·b_1_1⁷ + a_2_1·b_6_31·b_1_1 + a_2_1·b_2_5·b_1_1²·b_3_10
       + a_2_1·b_2_5·b_1_1²·b_3_9 + a_2_1·b_2_5·b_1_1⁵ + a_2_1·b_2_5²·b_3_10
       + a_2_1·b_2_5²·b_1_1³ + a_2_1·b_2_5·a_5_0 + a_2_1·b_2_5²·a_3_5
       + a_2_1·c_4_16·b_1_1³ + a_2_1·b_2_5·c_4_16·a_1_2 + c_4_16·a_1_2²·a_3_5
97. b_1_1²·b_7_44 + b_1_1⁶·b_3_10 + b_1_1⁹ + b_6_31·b_3_9 + b_2_5·b_1_1·b_3_9·b_3_10
       + b_2_5·b_1_1⁴·b_3_10 + b_2_5·b_1_1⁴·b_3_9 + b_2_5·b_6_31·b_1_1
       + b_2_5²·b_1_1²·b_3_9 + b_2_5³·b_3_9 + b_2_5³·b_1_1³ + b_2_5⁴·b_1_1 + b_6_31·a_3_5
       + b_6_31·a_3_4 + b_2_5·a_4_7·b_3_10 + b_2_5³·a_3_5 + b_2_5⁴·a_1_2
       + a_2_1·b_1_1·b_3_9·b_3_10 + a_2_1·b_1_1⁴·b_3_9 + a_2_1·b_1_1⁷
       + a_2_1·b_2_5²·b_3_10 + a_2_1·b_2_5²·b_3_9 + a_2_1·b_2_5³·b_1_1 + a_2_1·b_2_5·a_5_0
       + c_4_16·b_1_1²·b_3_10 + c_4_16·b_1_1²·b_3_9 + c_4_16·b_1_1⁵
       + b_2_5·c_4_16·b_1_1³ + b_2_5²·c_4_16·a_1_2 + a_2_1·c_4_16·b_3_9
       + a_2_1·b_2_5·c_4_16·b_1_1 + a_2_1·c_4_16·a_3_5
98. a_1_2·b_1_1·b_7_44 + b_6_31·a_3_4 + a_2_3·c_4_16·b_3_10 + a_2_1·c_4_16·a_3_5
       + a_2_1·c_4_16·a_3_4
99. b_6_31·a_3_4 + a_2_3·b_7_44 + a_4_8·a_5_0 + a_2_3·c_4_16·b_3_10 + a_2_1·c_4_16·a_3_4
100. a_8_35·b_1_1 + b_6_31·a_3_4 + b_2_5²·a_5_0 + b_2_5⁴·a_1_2 + a_2_1·b_7_44
        + a_2_1·b_1_1⁴·b_3_10 + a_2_1·b_1_1⁷ + a_2_1·b_6_31·b_1_1 + a_2_1·b_2_5²·b_3_10
        + a_2_1·b_2_5²·b_3_9 + b_2_5·a_4_8·a_3_5 + a_2_1·b_2_5·a_5_0 + a_2_1·c_4_16·b_3_10
        + a_2_1·c_4_16·b_3_9 + a_2_1·c_4_16·b_1_1³ + a_2_3·c_4_16·b_3_10 + a_2_1·c_4_16·a_3_5
        + a_2_3·c_4_16·a_3_5
101. a_8_35·a_1_0 + c_4_16·a_1_2²·a_3_5
102. a_8_35·a_1_2 + a_4_8·a_5_0 + a_2_1·b_2_5·a_5_0 + a_2_1·b_2_5²·a_3_5
        + a_2_1·c_4_16·a_3_4 + a_2_1·b_2_5·c_4_16·a_1_2 + a_2_3·c_4_16·a_3_5
        + c_4_16·a_1_2²·a_3_5
103. a_5_0²
104. a_4_7·a_6_19 + a_2_1·c_4_16·a_1_2·a_3_5
105. a_5_0·b_5_23 + b_3_10·a_7_27 + a_4_8·b_6_31 + a_4_7·b_6_31 + b_2_5³·a_1_2·b_3_10
        + a_2_1·b_1_1⁵·b_3_9 + a_2_1·b_1_1⁸ + a_2_1·b_6_31·b_1_1²
        + a_2_1·b_2_5·b_1_1·b_5_23 + a_2_1·b_2_5·b_1_1³·b_3_9 + a_2_1·b_2_5·b_1_1⁶
        + a_2_1·b_2_5²·b_1_1·b_3_9 + b_2_5²·a_3_5² + a_4_8·a_3_5²
        + b_2_5·c_4_16·a_1_2·b_3_10 + b_2_5·a_4_8·c_4_16 + b_2_5·a_4_7·c_4_16
        + a_2_1·c_4_16·b_1_1·b_3_9 + a_2_1·b_2_5·c_4_16·b_1_1² + c_4_16·a_3_5²
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16 + a_2_3·a_4_8·c_4_16
        + a_2_3·a_2_1·b_2_5·c_4_16 + c_4_16²·a_1_2·b_1_1 + c_4_16²·a_1_2²
106. a_2_3·b_2_5·b_6_31 + a_3_5·a_7_27 + a_4_8·a_6_19 + a_4_8·a_3_5² + c_4_16·a_3_5²
        + a_2_3·a_2_1·b_2_5·c_4_16 + a_2_1·c_4_16·a_1_2·a_3_5
107. a_3_4·a_7_27 + a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27 + a_2_1·b_2_5²·a_4_8
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16
108. a_5_0·b_5_23 + b_3_9·a_7_27 + a_4_7·b_6_31 + a_2_1·b_1_1²·b_3_9·b_3_10
        + a_2_1·b_1_1⁵·b_3_9 + a_2_1·b_6_31·b_1_1² + a_2_1·b_2_5·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1³·b_3_10 + a_2_1·b_2_5·b_6_31 + a_2_1·b_2_5²·b_1_1·b_3_10
        + a_2_1·b_2_5²·b_1_1·b_3_9 + a_2_1·b_2_5³·b_1_1² + b_2_5·a_1_2·a_7_27
        + b_2_5²·a_3_5² + a_2_1·b_2_5²·a_4_8 + a_4_8·a_3_5² + c_4_16·a_1_2·b_5_23
        + b_2_5·a_4_7·c_4_16 + a_2_1·c_4_16·b_1_1⁴ + a_2_1·b_2_5·c_4_16·b_1_1²
        + a_2_1·b_2_5²·c_4_16 + c_4_16·a_3_5² + b_2_5·c_4_16·a_1_2·a_3_5
        + a_2_3·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16 + a_2_1·c_4_16·a_1_2·a_3_5
        + c_4_16²·a_1_2·b_1_1
109. b_3_10·b_7_41 + b_1_1⁴·b_3_9·b_3_10 + b_1_1⁷·b_3_10 + b_1_1⁷·b_3_9
        + b_6_31·b_1_1·b_3_10 + b_2_5·b_1_1²·b_3_9·b_3_10 + b_2_5·b_1_1⁵·b_3_10
        + b_2_5·b_1_1⁸ + b_2_5²·b_1_1·b_5_23 + b_2_5²·b_1_1³·b_3_10 + b_2_5³·b_1_1·b_3_9
        + b_2_5³·b_1_1⁴ + b_2_5⁵ + a_4_8·b_6_31 + a_4_7·b_6_31 + b_2_5³·a_1_2·b_3_10
        + a_2_1·b_3_10·b_5_23 + a_2_1·b_6_31·b_1_1² + a_2_1·b_2_5·b_1_1⁶
        + a_2_1·b_2_5²·b_1_1·b_3_9 + a_2_1·b_2_5²·b_1_1⁴ + a_2_1·b_2_5⁴ + a_4_8·a_6_19
        + b_2_5·a_1_2·a_7_27 + a_2_1·b_2_5²·a_4_8 + c_4_16·b_1_1³·b_3_10
        + c_4_16·b_1_1³·b_3_9 + b_2_5·c_4_16·b_1_1·b_3_9 + b_2_5²·c_4_16·b_1_1²
        + a_2_1·c_4_16·b_1_1·b_3_10 + a_2_1·b_2_5²·c_4_16 + a_2_1·a_4_8·c_4_16
        + a_2_1·c_4_16·a_1_2·a_3_5
110. a_5_0·b_5_23 + a_3_5·b_7_41 + b_2_5³·a_1_2·b_3_10 + b_2_5³·a_4_8 + a_2_1·b_3_10·b_5_23
        + a_2_1·b_1_1²·b_3_9·b_3_10 + a_2_1·b_1_1⁵·b_3_9 + a_2_1·b_2_5·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1·b_5_23 + a_2_1·b_2_5·b_1_1⁶ + a_2_1·b_2_5·b_6_31
        + a_2_1·b_2_5²·b_1_1⁴ + a_2_3·b_2_5·b_6_31 + a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27
        + c_4_16·a_1_2·b_5_23 + b_2_5·c_4_16·a_1_2·b_3_10 + a_2_1·c_4_16·b_1_1·b_3_10
        + a_2_1·c_4_16·b_1_1⁴ + c_4_16·a_3_5² + b_2_5·c_4_16·a_1_2·a_3_5
        + a_2_3·a_4_8·c_4_16 + c_4_16²·a_1_2·b_1_1
111. a_3_4·b_7_41 + a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27 + b_2_5²·a_3_5² + a_4_8·a_3_5²
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16 + a_2_3·a_4_8·c_4_16
        + a_2_3·a_2_1·b_2_5·c_4_16
112. b_3_9·b_7_41 + b_1_1⁷·b_3_9 + b_6_31·b_1_1·b_3_9 + b_2_5·b_1_1⁵·b_3_10
        + b_2_5·b_1_1⁵·b_3_9 + b_2_5·b_1_1⁸ + b_2_5²·b_1_1³·b_3_9 + b_2_5³·b_1_1·b_3_10
        + b_2_5³·b_1_1⁴ + a_4_7·b_6_31 + b_2_5³·a_4_8 + a_2_1·b_3_10·b_5_23
        + a_2_1·b_1_1²·b_3_9·b_3_10 + a_2_1·b_6_31·b_1_1² + a_2_1·b_2_5·b_6_31
        + a_2_1·b_2_5²·b_1_1⁴ + a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27 + b_2_5²·a_3_5²
        + a_2_1·b_2_5²·a_4_8 + c_4_16·b_1_1³·b_3_9 + a_2_1·c_4_16·b_1_1·b_3_10
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_3·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16
113. a_5_0·b_5_23 + b_2_5·a_1_2·b_7_44 + a_2_1·b_1_1⁵·b_3_9 + a_2_1·b_2_5²·b_1_1·b_3_9
        + a_2_1·b_2_5³·b_1_1² + a_2_3·b_2_5·b_6_31 + a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27
        + b_2_5²·a_3_5² + c_4_16·a_1_2·b_5_23 + a_2_1·c_4_16·b_1_1⁴ + c_4_16·a_3_5²
        + a_2_1·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16 + c_4_16²·a_1_2·b_1_1
114. a_3_4·b_7_44 + a_2_3·b_2_5·b_6_31 + b_2_5·a_1_2·a_7_27 + c_4_16·a_3_5²
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16
115. a_4_7·b_6_31 + a_2_1·b_1_1·b_7_44 + a_2_1·b_1_1⁵·b_3_10 + a_2_1·b_1_1⁸
        + a_2_1·b_6_31·b_1_1² + a_2_1·b_2_5·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1·b_5_23
        + a_2_1·b_2_5·b_1_1³·b_3_10 + a_2_1·b_2_5²·b_1_1·b_3_9 + a_2_1·b_2_5³·b_1_1²
        + a_4_8·a_6_19 + a_2_1·b_2_5²·a_4_8 + a_2_1·c_4_16·b_1_1·b_3_10
        + a_2_1·c_4_16·b_1_1·b_3_9 + a_2_1·c_4_16·b_1_1⁴
116. a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27 + a_2_1·a_1_2·b_7_44 + a_2_1·b_2_5²·a_4_8
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16
117. b_3_9·b_7_44 + b_1_1⁴·b_3_9·b_3_10 + b_1_1⁷·b_3_9 + b_2_5·b_1_1·b_7_44
        + b_2_5·b_1_1²·b_3_9·b_3_10 + b_2_5·b_1_1⁵·b_3_10 + b_2_5·b_1_1⁸
        + b_2_5·b_6_31·b_1_1² + b_2_5²·b_3_9·b_3_10 + b_2_5²·b_1_1³·b_3_9
        + b_2_5²·b_1_1⁶ + b_2_5³·b_1_1·b_3_10 + b_2_5⁴·b_1_1² + a_3_5·b_7_44
        + b_2_5³·a_4_8 + a_2_1·b_1_1⁵·b_3_9 + a_2_1·b_2_5·b_1_1³·b_3_9
        + a_2_1·b_2_5·b_1_1⁶ + a_2_1·b_2_5²·b_1_1·b_3_9 + a_2_1·b_2_5²·b_1_1⁴
        + a_2_1·b_2_5³·b_1_1² + a_2_3·b_2_5·b_6_31 + b_2_5·a_1_2·a_7_27
        + a_2_1·b_2_5²·a_4_8 + a_4_8·a_3_5² + c_4_16·b_3_9·b_3_10 + c_4_16·b_1_1³·b_3_9
        + b_2_5·c_4_16·b_1_1·b_3_10 + c_4_16·a_1_2·b_5_23 + b_2_5·a_4_8·c_4_16
        + c_4_16²·a_1_2²
118. b_5_23² + b_2_5·b_1_1⁸ + b_2_5²·b_1_1⁶ + b_2_5⁵ + b_2_5³·a_1_2·b_3_10
        + a_2_3·b_2_5·b_6_31 + b_2_5·a_1_2·a_7_27 + a_2_1·b_2_5²·a_4_8 + c_8_58·a_1_2²
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_3·a_2_1·b_2_5·c_4_16 + a_2_1·c_4_16·a_1_2·a_3_5
        + c_4_16²·b_1_1² + c_4_16²·a_1_2²
119. a_5_0·b_5_23 + a_3_5·b_7_44 + b_2_5·a_8_35 + b_2_5³·a_1_2·b_3_10 + b_2_5³·a_4_8
        + a_2_1·b_1_1⁵·b_3_9 + a_2_1·b_2_5·b_1_1³·b_3_10 + a_2_1·b_2_5·b_1_1⁶
        + a_2_1·b_2_5·b_6_31 + a_2_1·b_2_5²·b_1_1·b_3_9 + a_2_1·b_2_5⁴ + a_4_8·a_6_19
        + b_2_5·a_1_2·a_7_27 + b_2_5²·a_3_5² + b_2_5·a_4_8·c_4_16 + a_2_1·c_4_16·b_1_1⁴
        + a_2_1·b_2_5·c_4_16·b_1_1² + a_2_1·b_2_5²·c_4_16 + c_4_16·a_3_5²
        + a_2_1·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16 + a_2_1·c_4_16·a_1_2·a_3_5
        + c_4_16²·a_1_2·b_1_1 + c_4_16²·a_1_2²
120. a_4_8·a_6_19 + b_2_5·a_1_2·a_7_27 + a_2_1·b_2_5²·a_4_8 + a_2_3·a_8_35 + a_4_8·a_3_5²
        + b_2_5·c_4_16·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16 + a_2_3·a_4_8·c_4_16
        + a_2_3·a_2_1·b_2_5·c_4_16
121. b_2_5·a_1_2·a_7_27 + a_2_1·a_8_35 + a_2_1·b_2_5²·a_4_8 + b_2_5·c_4_16·a_1_2·a_3_5
        + a_2_3·a_4_8·c_4_16 + a_2_3·a_2_1·b_2_5·c_4_16 + a_2_1·c_4_16·a_1_2·a_3_5
122. b_6_31·a_5_0 + b_2_5⁵·a_1_2 + a_2_1·b_6_31·b_1_1³ + a_4_8·a_7_27
        + b_2_5³·c_4_16·a_1_2 + a_4_8·c_4_16·a_3_5 + a_2_1·b_2_5·c_4_16·a_3_5
        + a_2_3·c_4_16·a_5_0 + a_2_3·b_2_5·c_4_16·a_3_5
123. a_6_19·a_5_0 + a_2_3·b_2_5·a_7_27 + b_2_5·a_3_5³ + a_2_1·c_4_16·a_5_0
        + a_2_3·a_2_1·c_4_16·b_3_10
124. a_6_19·a_5_0 + a_4_7·a_7_27 + b_2_5·a_3_5³ + a_2_1·c_4_16·a_5_0 + a_2_3·c_4_16·a_5_0
        + a_2_3·c_4_16²·a_1_2
125. a_4_8·b_7_41 + b_2_5³·a_5_0 + b_2_5⁴·a_3_5 + b_2_5⁵·a_1_2
        + a_2_1·b_1_1³·b_3_9·b_3_10 + a_2_1·b_1_1⁶·b_3_10 + a_2_1·b_6_31·b_3_10
        + a_2_1·b_6_31·b_3_9 + a_2_1·b_2_5·b_7_41 + a_2_1·b_2_5·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁴·b_3_9 + a_2_1·b_2_5²·b_5_23 + a_2_1·b_2_5²·b_1_1²·b_3_10
        + a_2_1·b_2_5²·b_1_1²·b_3_9 + a_2_1·b_2_5³·b_3_10 + a_2_1·b_2_5³·b_3_9
        + a_2_1·b_2_5³·b_1_1³ + a_6_19·a_5_0 + b_2_5²·a_4_8·a_3_5 + a_2_1·b_2_5³·a_3_5
        + b_2_5·a_3_5³ + a_2_1·c_4_16·b_1_1²·b_3_10 + a_2_1·b_2_5·c_4_16·b_3_9
        + a_2_1·b_2_5²·c_4_16·b_1_1 + a_2_1·c_4_16·a_5_0 + a_2_3·b_2_5·c_4_16·a_3_5
        + a_2_3·a_2_1·c_4_16·b_3_10
126. a_4_8·b_7_41 + a_4_7·b_7_41 + b_2_5³·a_5_0 + b_2_5⁴·a_3_5 + b_2_5⁵·a_1_2
        + a_2_1·b_1_1⁶·b_3_10 + a_2_1·b_1_1⁹ + a_2_1·b_6_31·b_3_10 + a_2_1·b_6_31·b_1_1³
        + a_2_1·b_2_5·b_1_1⁴·b_3_10 + a_2_1·b_2_5·b_1_1⁴·b_3_9 + a_2_1·b_2_5²·b_5_23
        + a_2_1·b_2_5²·b_1_1²·b_3_10 + a_2_1·b_2_5²·b_1_1⁵ + a_2_1·b_2_5³·b_3_9
        + a_6_19·a_5_0 + b_2_5²·a_4_8·a_3_5 + a_2_1·b_2_5·a_7_27 + b_2_5·a_3_5³
        + a_2_1·c_4_16·b_1_1²·b_3_10 + a_2_1·c_4_16·b_1_1²·b_3_9 + a_2_1·c_4_16·b_1_1⁵
        + a_2_1·b_2_5·c_4_16·b_3_9 + a_2_1·b_2_5²·c_4_16·b_1_1 + a_2_1·c_4_16·a_5_0
        + a_2_1·b_2_5·c_4_16·a_3_5 + a_2_3·b_2_5·c_4_16·a_3_5
127. b_6_31·a_5_0 + b_2_5⁵·a_1_2 + a_2_1·b_6_31·b_1_1³ + a_2_3·b_2_5·b_7_44
        + a_2_1·b_2_5·a_7_27 + a_2_1·b_2_5³·a_3_5 + b_2_5·a_3_5³ + b_2_5³·c_4_16·a_1_2
        + a_4_8·c_4_16·a_3_5 + a_2_1·c_4_16·a_5_0 + a_2_1·b_2_5·c_4_16·a_3_5
        + a_2_1·c_4_16²·a_1_2 + a_2_3·c_4_16²·a_1_2
128. a_4_8·b_7_41 + a_4_7·b_7_44 + b_2_5³·a_5_0 + b_2_5⁴·a_3_5 + b_2_5⁵·a_1_2
        + a_2_1·b_1_1⁶·b_3_9 + a_2_1·b_1_1⁹ + a_2_1·b_6_31·b_3_10
        + a_2_1·b_2_5·b_1_1⁴·b_3_9 + a_2_1·b_2_5·b_6_31·b_1_1 + a_2_1·b_2_5²·b_5_23
        + a_2_1·b_2_5²·b_1_1²·b_3_10 + a_2_1·b_2_5³·b_1_1³ + b_2_5²·a_4_8·a_3_5
        + a_2_1·b_2_5·a_7_27 + a_2_1·b_2_5³·a_3_5 + a_4_7·c_4_16·b_3_10
        + a_2_1·c_4_16·b_1_1²·b_3_10 + a_2_1·c_4_16·b_1_1⁵ + a_2_1·b_2_5·c_4_16·b_3_9
        + a_2_1·b_2_5²·c_4_16·b_1_1 + a_2_1·c_4_16·a_5_0 + a_2_3·a_2_1·c_4_16·b_3_10
129. a_6_19·b_5_23 + a_4_8·b_7_41 + b_2_5·a_4_8·b_5_23 + a_2_1·b_1_1⁶·b_3_10
        + a_2_1·b_6_31·b_3_10 + a_2_1·b_6_31·b_3_9 + a_2_1·b_2_5·b_1_1⁷
        + a_2_1·b_2_5·b_6_31·b_1_1 + a_2_1·b_2_5²·b_5_23 + a_2_1·b_2_5²·b_1_1²·b_3_10
        + a_2_1·b_2_5²·b_1_1⁵ + a_2_1·b_2_5⁴·b_1_1 + b_2_5²·a_4_8·a_3_5
        + a_2_1·b_2_5³·a_3_5 + b_2_5·a_3_5³ + b_2_5³·c_4_16·a_1_2
        + a_2_1·c_4_16·b_1_1²·b_3_9 + a_2_1·b_2_5·c_4_16·b_3_9 + a_2_1·b_2_5·c_4_16·b_1_1³
        + a_2_1·b_2_5²·c_4_16·b_1_1 + a_4_8·c_4_16·a_3_5 + a_2_1·c_4_16·a_5_0
        + a_2_1·b_2_5·c_4_16·a_3_5 + a_2_3·c_8_58·a_1_2 + a_2_3·c_4_16·a_5_0
        + a_2_1·c_4_16²·b_1_1 + a_2_3·c_4_16²·b_1_1 + a_2_1·c_4_16²·a_1_2
        + a_2_3·c_4_16²·a_1_2
130. b_6_31·b_5_23 + b_6_31·b_1_1²·b_3_9 + b_2_5²·b_7_44 + b_2_5²·b_7_41
        + b_2_5²·b_1_1·b_3_9·b_3_10 + b_2_5²·b_1_1⁴·b_3_10 + b_2_5²·b_1_1⁴·b_3_9
        + b_2_5²·b_6_31·b_1_1 + b_2_5³·b_5_23 + b_2_5³·b_1_1²·b_3_10
        + b_2_5³·b_1_1²·b_3_9 + b_2_5³·b_1_1⁵ + b_2_5⁴·b_3_9 + b_2_5⁴·b_1_1³
        + b_2_5⁵·b_1_1 + b_6_31·a_5_0 + a_4_8·b_7_41 + b_2_5·a_4_8·b_5_23 + b_2_5⁵·a_1_2
        + a_2_1·b_1_1³·b_3_9·b_3_10 + a_2_1·b_1_1⁶·b_3_10 + a_2_1·b_6_31·b_3_10
        + a_2_1·b_6_31·b_3_9 + a_2_1·b_6_31·b_1_1³ + a_2_1·b_2_5·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁷ + a_2_1·b_2_5·b_6_31·b_1_1 + a_2_1·b_2_5²·b_5_23
        + a_2_1·b_2_5²·b_1_1²·b_3_10 + a_2_1·b_2_5²·b_1_1⁵ + a_2_1·b_2_5⁴·b_1_1
        + a_6_19·a_5_0 + b_2_5²·a_4_8·a_3_5 + b_2_5·a_3_5³ + c_4_16·b_6_31·b_1_1
        + b_2_5²·c_4_16·b_3_10 + b_2_5²·c_4_16·b_3_9 + b_2_5·c_4_16·a_5_0
        + b_2_5³·c_4_16·a_1_2 + a_2_1·c_4_16·b_5_23 + a_2_1·c_4_16·b_1_1²·b_3_10
        + a_2_1·c_4_16·b_1_1²·b_3_9 + a_2_1·b_2_5·c_4_16·b_3_10 + a_2_3·c_8_58·b_1_1
        + a_4_8·c_4_16·a_3_5 + a_2_1·c_8_58·a_1_2 + a_2_1·c_4_16·a_5_0
        + a_2_3·b_2_5·c_4_16·a_3_5 + a_2_1·c_4_16²·b_1_1 + a_2_1·c_4_16²·a_1_2
131. a_8_35·b_3_10 + b_6_31·a_5_0 + a_4_8·b_7_44 + b_2_5³·a_5_0 + b_2_5⁴·a_3_5
        + a_2_1·b_1_1³·b_3_9·b_3_10 + a_2_1·b_1_1⁶·b_3_10 + a_2_1·b_1_1⁹
        + a_2_1·b_6_31·b_3_10 + a_2_1·b_6_31·b_1_1³ + a_2_1·b_2_5·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁴·b_3_10 + a_2_1·b_2_5·b_6_31·b_1_1
        + a_2_1·b_2_5²·b_1_1²·b_3_10 + a_2_1·b_2_5³·b_3_10 + a_2_1·b_2_5³·b_1_1³
        + a_2_1·b_2_5⁴·b_1_1 + a_2_1·b_2_5·a_7_27 + b_2_5²·c_4_16·a_3_5
        + b_2_5³·c_4_16·a_1_2 + a_2_1·c_4_16·b_1_1²·b_3_10 + a_2_1·b_2_5·c_4_16·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1³ + a_2_1·b_2_5²·c_4_16·b_1_1 + a_2_1·c_4_16·a_5_0
        + a_2_1·b_2_5·c_4_16·a_3_5 + a_2_3·c_4_16·a_5_0 + a_2_3·b_2_5·c_4_16·a_3_5
        + a_2_1·c_4_16²·b_1_1 + a_2_3·c_4_16²·b_1_1
132. b_6_31·a_5_0 + b_2_5⁵·a_1_2 + a_2_1·b_6_31·b_1_1³ + a_8_35·a_3_5
        + b_2_5²·a_4_8·a_3_5 + a_2_1·b_2_5·a_7_27 + a_2_1·b_2_5³·a_3_5 + b_2_5·a_3_5³
        + b_2_5³·c_4_16·a_1_2 + a_2_3·c_4_16·a_5_0
133. a_8_35·a_3_4 + a_6_19·a_5_0 + a_2_1·c_4_16·a_5_0 + a_2_3·b_2_5·c_4_16·a_3_5
134. a_8_35·b_3_9 + b_6_31·a_5_0 + b_2_5³·a_5_0 + a_2_1·b_6_31·b_3_9 + a_2_1·b_6_31·b_1_1³
        + a_2_1·b_2_5·b_7_44 + a_2_1·b_2_5·b_1_1·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁴·b_3_10
        + a_2_1·b_2_5·b_1_1⁷ + a_2_1·b_2_5·b_6_31·b_1_1 + a_2_1·b_2_5²·b_1_1⁵
        + a_2_1·b_2_5³·b_3_10 + a_6_19·a_5_0 + b_2_5²·a_4_8·a_3_5 + a_2_1·b_2_5³·a_3_5
        + b_2_5·a_3_5³ + b_2_5³·c_4_16·a_1_2 + a_2_1·b_2_5·c_4_16·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1³ + a_2_1·b_2_5²·c_4_16·b_1_1 + a_4_8·c_4_16·a_3_5
        + a_2_3·c_4_16·a_5_0 + a_2_3·b_2_5·c_4_16·a_3_5 + a_2_3·a_2_1·c_4_16·b_3_10
        + a_2_1·c_4_16²·a_1_2 + a_2_3·c_4_16²·a_1_2
135. a_6_19² + a_2_3·a_2_1·c_4_16²
136. a_5_0·b_7_44 + b_2_5⁴·a_1_2·b_3_10 + a_2_1·b_1_1⁷·b_3_10 + a_2_1·b_1_1¹⁰
        + a_2_1·b_6_31·b_1_1·b_3_9 + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁵·b_3_10 + a_2_1·b_2_5·b_1_1⁵·b_3_9
        + a_2_1·b_2_5·b_6_31·b_1_1² + a_2_1·b_2_5²·b_1_1³·b_3_9
        + a_2_1·b_2_5³·b_1_1·b_3_9 + a_2_1·b_2_5³·b_1_1⁴ + a_2_1·b_2_5⁴·b_1_1²
        + a_5_0·a_7_27 + b_2_5·a_4_8·a_3_5² + c_4_16·a_1_2·b_7_44
        + b_2_5²·c_4_16·a_1_2·b_3_10 + a_2_1·c_4_16·b_1_1³·b_3_10
        + a_2_1·c_4_16·b_1_1³·b_3_9 + a_2_1·c_4_16·b_1_1⁶ + a_2_1·b_2_5·c_4_16·b_1_1⁴
        + a_2_3·c_4_16·b_6_31 + c_4_16·a_1_2·a_7_27 + a_2_1·b_2_5·a_4_8·c_4_16
        + a_2_3·c_4_16·a_6_19 + a_2_3·b_2_5·a_4_8·c_4_16 + a_2_1·b_2_5·c_4_16·a_1_2·a_3_5
        + c_4_16²·a_1_2·b_3_10 + a_2_3·b_2_5·c_4_16² + c_4_16²·a_1_2·a_3_5
        + a_2_3·a_2_1·c_4_16²
137. b_1_1⁶·b_3_9·b_3_10 + b_1_1⁹·b_3_10 + b_1_1¹² + b_6_31·b_1_1³·b_3_9 + b_6_31²
        + b_2_5·b_1_1⁴·b_3_9·b_3_10 + b_2_5·b_1_1⁷·b_3_10 + b_2_5·b_1_1¹⁰
        + b_2_5²·b_1_1²·b_3_9·b_3_10 + b_2_5²·b_1_1⁵·b_3_10 + b_2_5²·b_1_1⁸
        + b_2_5²·b_6_31·b_1_1² + b_2_5³·b_1_1³·b_3_9 + b_2_5⁴·b_1_1⁴ + b_2_5⁵·b_1_1²
        + b_2_5⁶ + b_2_5⁴·a_1_2·b_3_10 + b_2_5⁴·a_4_8 + a_2_1·b_1_1⁷·b_3_10
        + a_2_1·b_1_1⁷·b_3_9 + a_2_1·b_1_1¹⁰ + a_2_1·b_6_31·b_1_1⁴
        + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁵·b_3_9
        + a_2_1·b_2_5·b_6_31·b_1_1² + a_2_1·b_2_5²·b_1_1³·b_3_9 + a_2_1·b_2_5²·b_1_1⁶
        + a_2_1·b_2_5³·b_1_1⁴ + a_2_1·b_2_5⁴·b_1_1² + a_5_0·a_7_27 + b_2_5·a_3_5·a_7_27
        + b_2_5³·a_3_5² + a_2_1·b_2_5³·a_4_8 + c_8_58·b_1_1⁴ + c_4_16·b_1_1⁵·b_3_9
        + c_4_16·b_1_1⁸ + b_2_5²·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16
        + a_2_1·c_4_16·b_1_1³·b_3_10 + a_2_1·c_4_16·b_1_1³·b_3_9 + a_2_1·c_4_16·b_1_1⁶
        + a_2_1·b_2_5·c_4_16·b_1_1⁴ + a_2_1·b_2_5²·c_4_16·b_1_1² + c_4_16·a_1_2·a_7_27
        + b_2_5·c_4_16·a_3_5² + a_2_3·c_4_16·a_6_19 + a_2_3·b_2_5·a_4_8·c_4_16
        + c_4_16²·a_1_2·a_3_5 + b_2_5·c_4_16²·a_1_2²
138. b_5_23·b_7_41 + b_1_1⁹·b_3_9 + b_6_31·b_1_1³·b_3_9 + b_2_5·b_1_1⁷·b_3_10
        + b_2_5·b_1_1⁷·b_3_9 + b_2_5·b_1_1¹⁰ + b_2_5²·b_3_10·b_5_23 + b_2_5²·b_1_1·b_7_44
        + b_2_5²·b_1_1²·b_3_9·b_3_10 + b_2_5²·b_1_1⁵·b_3_10 + b_2_5²·b_1_1⁸
        + b_2_5³·b_1_1·b_5_23 + b_2_5³·b_1_1³·b_3_10 + b_2_5³·b_1_1⁶
        + b_2_5⁴·b_1_1·b_3_9 + b_2_5⁴·b_1_1⁴ + b_2_5⁵·b_1_1² + b_5_23·a_7_27
        + a_5_0·b_7_41 + b_2_5²·a_1_2·b_7_44 + a_2_1·b_1_1⁷·b_3_9 + a_2_1·b_1_1¹⁰
        + a_2_1·b_6_31·b_1_1⁴ + a_2_1·b_2_5·b_3_10·b_5_23
        + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁵·b_3_10
        + a_2_1·b_2_5·b_1_1⁵·b_3_9 + a_2_1·b_2_5·b_1_1⁸ + a_2_1·b_2_5²·b_1_1·b_5_23
        + a_2_1·b_2_5²·b_1_1³·b_3_10 + a_2_1·b_2_5²·b_1_1³·b_3_9 + a_2_1·b_2_5²·b_6_31
        + a_2_1·b_2_5³·b_1_1·b_3_10 + a_2_1·b_2_5³·b_1_1·b_3_9 + b_2_5·a_3_5·a_7_27
        + c_4_16·b_1_1²·b_3_9·b_3_10 + c_4_16·b_1_1⁸ + c_4_16·b_6_31·b_1_1²
        + b_2_5·c_4_16·b_3_9·b_3_10 + b_2_5·c_4_16·b_1_1³·b_3_9 + b_2_5·c_4_16·b_1_1⁶
        + b_2_5³·c_4_16·b_1_1² + b_2_5·c_4_16·a_6_19 + a_2_1·c_4_16·b_3_9·b_3_10
        + a_2_1·c_4_16·b_1_1·b_5_23 + a_2_1·c_4_16·b_1_1³·b_3_10
        + a_2_1·c_4_16·b_1_1³·b_3_9 + a_2_1·c_4_16·b_1_1⁶
        + a_2_1·b_2_5·c_4_16·b_1_1·b_3_10 + a_2_1·b_2_5³·c_4_16 + a_2_3·c_4_16·b_6_31
        + b_2_5·c_8_58·a_1_2² + b_2_5·c_4_16·a_3_5² + a_2_1·b_2_5·a_4_8·c_4_16
        + a_2_3·c_4_16·a_6_19 + a_2_1·b_2_5·c_4_16·a_1_2·a_3_5 + c_4_16²·b_1_1⁴
        + c_4_16²·a_1_2·b_3_10 + b_2_5·c_4_16²·a_1_2·b_1_1 + a_2_1·c_4_16²·b_1_1²
        + c_4_16²·a_1_2·a_3_5 + b_2_5·c_4_16²·a_1_2² + a_2_1·c_4_16²·a_1_2²
139. a_5_0·b_7_41 + b_2_5²·a_1_2·b_7_44 + a_2_1·b_1_1⁴·b_3_9·b_3_10 + a_2_1·b_1_1⁷·b_3_9
        + a_2_1·b_1_1¹⁰ + a_2_1·b_6_31·b_1_1⁴ + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁵·b_3_9 + a_2_1·b_2_5·b_1_1⁸ + a_2_1·b_2_5²·b_1_1⁶
        + b_2_5·a_3_5·a_7_27 + b_2_5³·a_3_5² + a_2_1·b_2_5³·a_4_8
        + b_2_5²·c_4_16·a_1_2·b_3_10 + a_2_1·c_4_16·b_1_1⁶ + b_2_5·c_4_16·a_3_5²
        + a_2_1·b_2_5·a_4_8·c_4_16 + a_2_3·c_4_16·a_6_19 + a_2_3·b_2_5·a_4_8·c_4_16
        + a_2_1·c_8_58·a_1_2² + a_2_1·b_2_5·c_4_16·a_1_2·a_3_5 + a_2_3·a_2_1·c_4_16²
        + a_2_1·c_4_16²·a_1_2²
140. b_5_23·b_7_44 + b_1_1⁶·b_3_9·b_3_10 + b_1_1⁹·b_3_9 + b_2_5·b_1_1⁴·b_3_9·b_3_10
        + b_2_5·b_6_31·b_1_1·b_3_9 + b_2_5·b_6_31·b_1_1⁴ + b_2_5²·b_3_10·b_5_23
        + b_2_5²·b_1_1⁵·b_3_10 + b_2_5²·b_1_1⁵·b_3_9 + b_2_5²·b_1_1⁸
        + b_2_5²·b_6_31·b_1_1² + b_2_5³·b_3_9·b_3_10 + b_2_5³·b_1_1³·b_3_9
        + b_2_5³·b_1_1⁶ + b_2_5³·b_6_31 + b_2_5⁴·b_1_1⁴ + b_2_5⁵·b_1_1² + b_2_5⁶
        + a_5_0·b_7_44 + a_5_0·b_7_41 + a_6_19·b_6_31 + b_2_5·a_4_8·b_6_31 + b_2_5²·a_1_2·b_7_44
        + a_2_1·b_1_1⁴·b_3_9·b_3_10 + a_2_1·b_1_1⁷·b_3_10 + a_2_1·b_6_31·b_1_1·b_3_10
        + a_2_1·b_6_31·b_1_1·b_3_9 + a_2_1·b_6_31·b_1_1⁴ + a_2_1·b_2_5·b_3_10·b_5_23
        + a_2_1·b_2_5·b_1_1·b_7_44 + a_2_1·b_2_5·b_1_1⁵·b_3_10 + a_2_1·b_2_5·b_1_1⁸
        + a_2_1·b_2_5·b_6_31·b_1_1² + a_2_1·b_2_5²·b_3_9·b_3_10
        + a_2_1·b_2_5²·b_1_1³·b_3_9 + a_2_1·b_2_5²·b_1_1⁶ + a_2_1·b_2_5²·b_6_31
        + a_2_1·b_2_5³·b_1_1·b_3_9 + a_2_1·b_2_5³·b_1_1⁴ + a_2_1·b_2_5⁵
        + b_2_5·a_3_5·a_7_27 + a_2_1·b_2_5³·a_4_8 + b_2_5·a_4_8·a_3_5²
        + c_4_16·b_3_10·b_5_23 + c_4_16·b_1_1·b_7_44 + c_4_16·b_1_1⁵·b_3_9
        + b_2_5·c_4_16·b_1_1³·b_3_9 + b_2_5·c_4_16·b_1_1⁶ + b_2_5²·c_4_16·b_1_1·b_3_10
        + b_2_5²·c_4_16·b_1_1·b_3_9 + b_2_5²·c_4_16·b_1_1⁴ + b_2_5·c_8_58·a_1_2·b_1_1
        + b_2_5·c_4_16·a_6_19 + b_2_5²·a_4_8·c_4_16 + a_2_1·c_4_16·b_1_1·b_5_23
        + a_2_1·c_4_16·b_1_1³·b_3_10 + a_2_1·c_4_16·b_6_31 + a_2_1·b_2_5·c_4_16·b_1_1·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁴ + a_2_1·b_2_5²·c_4_16·b_1_1² + a_2_3·c_4_16·b_6_31
        + a_2_3·b_2_5·c_8_58 + c_8_58·a_1_2·a_3_5 + c_4_16·a_1_2·a_7_27 + a_2_3·c_4_16·a_6_19
        + a_2_3·b_2_5·a_4_8·c_4_16 + a_2_3·a_2_1·c_8_58 + c_4_16²·b_1_1·b_3_10
        + b_2_5·c_4_16²·a_1_2·b_1_1 + a_2_1·c_4_16²·b_1_1² + a_2_1·b_2_5·c_4_16²
        + a_2_3·b_2_5·c_4_16² + c_4_16²·a_1_2·a_3_5 + b_2_5·c_4_16²·a_1_2²
        + a_2_3·a_2_1·c_4_16²
141. b_5_23·a_7_27 + a_6_19·b_6_31 + b_2_5·a_4_8·b_6_31 + a_2_1·b_1_1⁴·b_3_9·b_3_10
        + a_2_1·b_6_31·b_1_1·b_3_10 + a_2_1·b_6_31·b_1_1·b_3_9
        + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁵·b_3_10
        + a_2_1·b_2_5²·b_3_9·b_3_10 + a_2_1·b_2_5²·b_1_1³·b_3_10 + a_4_8·a_8_35
        + b_2_5·a_3_5·a_7_27 + b_2_5·c_4_16·a_6_19 + b_2_5²·c_4_16·a_1_2·b_3_10
        + b_2_5²·a_4_8·c_4_16 + a_2_1·c_4_16·b_3_9·b_3_10 + a_2_1·c_4_16·b_1_1³·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1·b_3_9 + c_4_16·a_1_2·a_7_27 + b_2_5·c_4_16·a_3_5²
        + a_2_1·b_2_5·c_4_16·a_1_2·a_3_5 + c_4_16²·a_1_2·b_3_10 + b_2_5·c_4_16²·a_1_2·b_1_1
        + b_2_5·c_4_16²·a_1_2² + a_2_1·c_4_16²·a_1_2²
142. b_5_23·b_7_44 + b_1_1⁶·b_3_9·b_3_10 + b_1_1⁹·b_3_9 + b_2_5·b_1_1⁴·b_3_9·b_3_10
        + b_2_5·b_6_31·b_1_1·b_3_9 + b_2_5·b_6_31·b_1_1⁴ + b_2_5²·b_3_10·b_5_23
        + b_2_5²·b_1_1⁵·b_3_10 + b_2_5²·b_1_1⁵·b_3_9 + b_2_5²·b_1_1⁸
        + b_2_5²·b_6_31·b_1_1² + b_2_5³·b_3_9·b_3_10 + b_2_5³·b_1_1³·b_3_9
        + b_2_5³·b_1_1⁶ + b_2_5³·b_6_31 + b_2_5⁴·b_1_1⁴ + b_2_5⁵·b_1_1² + b_2_5⁶
        + a_5_0·b_7_44 + a_5_0·b_7_41 + b_2_5²·a_8_35 + b_2_5³·a_6_19 + b_2_5⁴·a_4_8
        + a_2_1·b_1_1⁴·b_3_9·b_3_10 + a_2_1·b_1_1⁷·b_3_10 + a_2_1·b_6_31·b_1_1·b_3_9
        + a_2_1·b_6_31·b_1_1⁴ + a_2_1·b_2_5·b_1_1·b_7_44 + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁵·b_3_10 + a_2_1·b_2_5·b_1_1⁸ + a_2_1·b_2_5·b_6_31·b_1_1²
        + a_2_1·b_2_5²·b_3_9·b_3_10 + a_2_1·b_2_5²·b_1_1³·b_3_9 + a_2_1·b_2_5²·b_1_1⁶
        + a_2_1·b_2_5³·b_1_1⁴ + a_2_1·b_2_5⁴·b_1_1² + a_5_0·a_7_27 + b_2_5·a_3_5·a_7_27
        + b_2_5³·a_3_5² + b_2_5·a_4_8·a_3_5² + c_4_16·b_3_10·b_5_23 + c_4_16·b_1_1·b_7_44
        + c_4_16·b_1_1⁵·b_3_9 + b_2_5·c_4_16·b_1_1³·b_3_9 + b_2_5·c_4_16·b_1_1⁶
        + b_2_5²·c_4_16·b_1_1·b_3_10 + b_2_5²·c_4_16·b_1_1·b_3_9 + b_2_5²·c_4_16·b_1_1⁴
        + b_2_5·c_8_58·a_1_2·b_1_1 + b_2_5·c_4_16·a_6_19 + b_2_5²·a_4_8·c_4_16
        + a_2_1·c_4_16·b_1_1·b_5_23 + a_2_1·c_4_16·b_1_1³·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁴ + a_2_1·b_2_5²·c_4_16·b_1_1² + a_2_3·b_2_5·c_8_58
        + c_8_58·a_1_2·a_3_5 + c_4_16·a_1_2·a_7_27 + a_2_1·b_2_5·a_4_8·c_4_16
        + a_2_3·c_4_16·a_6_19 + a_2_3·b_2_5·a_4_8·c_4_16 + c_4_16²·b_1_1·b_3_10
        + b_2_5·c_4_16²·a_1_2·b_1_1 + a_2_1·c_4_16²·b_1_1² + a_2_1·b_2_5·c_4_16²
        + a_2_3·b_2_5·c_4_16² + c_4_16²·a_1_2·a_3_5 + a_2_3·a_2_1·c_4_16²
        + a_2_1·c_4_16²·a_1_2²
143. a_5_0·a_7_27 + a_2_1·b_2_5³·a_4_8 + a_2_3·b_2_5·a_8_35 + c_4_16·a_1_2·a_7_27
        + a_2_1·b_2_5·a_4_8·c_4_16 + a_2_3·c_4_16·a_6_19 + a_2_1·b_2_5·c_4_16·a_1_2·a_3_5
        + c_4_16²·a_1_2·a_3_5 + b_2_5·c_4_16²·a_1_2² + a_2_3·a_2_1·c_4_16²
144. b_5_23·a_7_27 + a_6_19·b_6_31 + b_2_5·a_4_8·b_6_31 + a_2_1·b_1_1⁴·b_3_9·b_3_10
        + a_2_1·b_6_31·b_1_1·b_3_10 + a_2_1·b_6_31·b_1_1·b_3_9
        + a_2_1·b_2_5·b_1_1²·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁵·b_3_10
        + a_2_1·b_2_5²·b_3_9·b_3_10 + a_2_1·b_2_5²·b_1_1³·b_3_10 + b_2_5³·a_3_5²
        + a_2_1·b_2_5·a_8_35 + b_2_5·c_4_16·a_6_19 + b_2_5²·c_4_16·a_1_2·b_3_10
        + b_2_5²·a_4_8·c_4_16 + a_2_1·c_4_16·b_3_9·b_3_10 + a_2_1·c_4_16·b_1_1³·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1·b_3_9 + c_4_16·a_1_2·a_7_27 + a_2_3·b_2_5·a_4_8·c_4_16
        + a_2_1·b_2_5·c_4_16·a_1_2·a_3_5 + c_4_16²·a_1_2·b_3_10 + b_2_5·c_4_16²·a_1_2·b_1_1
        + b_2_5·c_4_16²·a_1_2² + a_2_3·a_2_1·c_4_16²
145. a_5_0·a_7_27 + a_4_7·a_8_35 + a_2_1·b_2_5³·a_4_8 + c_4_16·a_1_2·a_7_27
        + a_2_1·b_2_5·a_4_8·c_4_16 + a_2_3·c_4_16·a_6_19 + c_4_16²·a_1_2·a_3_5
        + b_2_5·c_4_16²·a_1_2² + a_2_3·a_2_1·c_4_16² + a_2_1·c_4_16²·a_1_2²
146. a_6_19·a_7_27 + a_2_1·b_2_5²·a_7_27 + a_2_1·b_2_5⁴·a_3_5 + a_3_5²·a_7_27
        + b_2_5²·a_3_5³ + a_2_1·b_2_5²·c_4_16·a_3_5 + a_2_3·c_4_16·a_7_27 + c_4_16·a_3_5³
        + a_2_1·c_4_16²·a_3_5 + a_2_1·c_4_16²·a_3_4 + a_2_1·b_2_5·c_4_16²·a_1_2
147. a_6_19·b_7_41 + b_2_5²·a_4_8·b_5_23 + b_2_5⁴·a_5_0 + b_2_5⁵·a_3_5 + b_2_5⁶·a_1_2
        + a_2_1·b_1_1⁵·b_3_9·b_3_10 + a_2_1·b_1_1⁸·b_3_10 + a_2_1·b_1_1⁸·b_3_9
        + a_2_1·b_6_31·b_1_1²·b_3_10 + a_2_1·b_2_5·b_1_1⁹ + a_2_1·b_2_5·b_6_31·b_3_10
        + a_2_1·b_2_5·b_6_31·b_3_9 + a_2_1·b_2_5²·b_7_44 + a_2_1·b_2_5²·b_7_41
        + a_2_1·b_2_5²·b_1_1⁴·b_3_9 + a_2_1·b_2_5²·b_1_1⁷ + a_2_1·b_2_5³·b_1_1²·b_3_10
        + a_2_1·b_2_5³·b_1_1²·b_3_9 + a_2_1·b_2_5⁴·b_3_10 + a_2_1·b_2_5⁴·b_3_9
        + a_2_1·b_2_5⁴·b_1_1³ + a_2_1·b_2_5²·a_7_27 + b_2_5²·a_3_5³
        + b_2_5⁴·c_4_16·a_1_2 + a_2_1·c_4_16·b_7_41 + a_2_1·c_4_16·b_1_1⁴·b_3_10
        + a_2_1·c_4_16·b_1_1⁴·b_3_9 + a_2_1·b_2_5·c_4_16·b_1_1²·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1²·b_3_9 + a_2_1·b_2_5²·c_4_16·b_1_1³
        + a_2_1·b_2_5³·c_4_16·b_1_1 + b_2_5·a_4_8·c_4_16·a_3_5 + a_2_1·b_2_5²·c_4_16·a_3_5
        + c_8_58·a_1_2²·a_3_5 + c_4_16·a_3_5³ + a_2_1·b_2_5·c_4_16²·a_1_2
        + c_4_16²·a_1_2²·a_3_5
148. b_6_31·b_7_41 + b_6_31·b_1_1·b_3_9·b_3_10 + b_6_31·b_1_1⁴·b_3_9 + b_6_31·b_1_1⁷
        + b_6_31²·b_1_1 + b_2_5·b_1_1·b_3_10·b_7_44 + b_2_5·b_1_1⁸·b_3_10
        + b_2_5·b_1_1⁸·b_3_9 + b_2_5·b_1_1¹¹ + b_2_5·b_6_31·b_1_1²·b_3_9
        + b_2_5·b_6_31·b_1_1⁵ + b_2_5²·b_1_1³·b_3_9·b_3_10 + b_2_5²·b_6_31·b_3_10
        + b_2_5²·b_6_31·b_1_1³ + b_2_5³·b_7_41 + b_2_5³·b_1_1⁷ + b_2_5³·b_6_31·b_1_1
        + b_2_5⁴·b_1_1²·b_3_10 + b_2_5⁴·b_1_1²·b_3_9 + b_2_5⁴·b_1_1⁵ + b_2_5⁵·b_3_10
        + b_2_5⁵·b_3_9 + b_6_31·a_7_27 + a_6_19·b_7_44 + b_2_5·a_4_8·b_7_44
        + b_2_5²·a_4_8·b_5_23 + a_2_1·b_1_1⁸·b_3_10 + a_2_1·b_1_1⁸·b_3_9 + a_2_1·b_1_1¹¹
        + a_2_1·b_6_31·b_1_1²·b_3_10 + a_2_1·b_2_5·b_6_31·b_3_9 + a_2_1·b_2_5²·b_7_44
        + a_2_1·b_2_5²·b_1_1⁷ + a_2_1·b_2_5³·b_5_23 + a_2_1·b_2_5³·b_1_1²·b_3_10
        + a_2_1·b_2_5⁴·b_3_9 + a_2_1·b_2_5⁴·b_1_1³ + a_2_1·b_2_5⁵·b_1_1
        + b_2_5³·a_4_8·a_3_5 + a_2_1·b_2_5²·a_7_27 + a_2_1·b_2_5⁴·a_3_5 + a_3_5²·a_7_27
        + c_4_16·b_6_31·b_1_1³ + b_2_5·c_4_16·b_1_1·b_3_9·b_3_10
        + b_2_5·c_4_16·b_1_1⁴·b_3_10 + b_2_5·c_4_16·b_1_1⁴·b_3_9
        + b_2_5²·c_4_16·b_1_1²·b_3_10 + b_2_5²·c_4_16·b_1_1²·b_3_9
        + b_2_5³·c_4_16·b_1_1³ + b_2_5⁴·c_4_16·b_1_1 + a_4_8·c_4_16·b_5_23
        + b_2_5·c_4_16·a_7_27 + a_2_1·c_4_16·b_7_44 + a_2_1·c_4_16·b_1_1⁴·b_3_10
        + a_2_1·c_4_16·b_1_1⁴·b_3_9 + a_2_1·b_2_5·c_4_16·b_1_1²·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁵ + a_2_1·b_2_5²·c_4_16·b_1_1³
        + a_2_1·b_2_5³·c_4_16·b_1_1 + b_2_5·a_4_8·c_4_16·a_3_5 + a_2_1·b_2_5·c_8_58·a_1_2
        + a_2_3·c_8_58·a_3_5 + b_2_5·c_4_16²·b_1_1³ + b_2_5·c_4_16²·a_3_5
        + a_2_1·c_4_16²·b_3_10 + a_2_1·c_4_16²·b_3_9 + a_2_1·c_4_16²·b_1_1³
        + a_2_1·b_2_5·c_4_16²·b_1_1 + a_2_3·c_4_16²·b_3_10 + c_4_16²·a_1_2²·a_3_5
149. a_6_19·b_7_44 + b_2_5·a_4_8·b_7_44 + b_2_5²·a_4_8·b_5_23 + b_2_5³·a_7_27
        + b_2_5⁵·a_3_5 + b_2_5⁶·a_1_2 + a_2_1·b_1_1·b_3_10·b_7_44
        + a_2_1·b_2_5²·b_1_1⁴·b_3_9 + a_2_1·b_2_5³·b_1_1²·b_3_9 + a_2_1·b_2_5⁴·b_3_10
        + a_2_1·b_2_5⁴·b_3_9 + a_2_1·b_2_5⁵·b_1_1 + b_2_5³·a_4_8·a_3_5
        + a_2_1·b_2_5²·a_7_27 + a_2_1·b_2_5⁴·a_3_5 + a_3_5²·a_7_27 + b_2_5²·a_3_5³
        + a_4_8·c_4_16·b_5_23 + b_2_5²·c_4_16·a_5_0 + b_2_5³·c_4_16·a_3_5
        + a_2_1·c_4_16·b_7_44 + a_2_1·c_4_16·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1²·b_3_9 + a_2_1·b_2_5·c_4_16·b_1_1⁵
        + a_2_1·b_2_5²·c_4_16·b_3_10 + a_2_3·c_4_16·b_7_44 + a_2_1·c_8_58·a_3_4
        + a_2_3·c_4_16·a_7_27 + c_4_16·a_3_5³ + b_2_5²·c_4_16²·a_1_2
        + a_2_1·c_4_16²·b_3_10 + a_2_1·c_4_16²·b_3_9 + a_2_1·b_2_5·c_4_16²·b_1_1
        + a_2_1·c_4_16²·a_3_5 + a_2_1·c_4_16²·a_3_4 + a_2_1·b_2_5·c_4_16²·a_1_2
        + a_2_3·c_4_16²·a_3_5
150. b_6_31·b_7_41 + b_6_31·b_1_1·b_3_9·b_3_10 + b_6_31·b_1_1⁴·b_3_9 + b_6_31·b_1_1⁷
        + b_6_31²·b_1_1 + b_2_5·b_1_1·b_3_10·b_7_44 + b_2_5·b_1_1⁸·b_3_10
        + b_2_5·b_1_1⁸·b_3_9 + b_2_5·b_1_1¹¹ + b_2_5·b_6_31·b_1_1²·b_3_9
        + b_2_5·b_6_31·b_1_1⁵ + b_2_5²·b_1_1³·b_3_9·b_3_10 + b_2_5²·b_6_31·b_3_10
        + b_2_5²·b_6_31·b_1_1³ + b_2_5³·b_7_41 + b_2_5³·b_1_1⁷ + b_2_5³·b_6_31·b_1_1
        + b_2_5⁴·b_1_1²·b_3_10 + b_2_5⁴·b_1_1²·b_3_9 + b_2_5⁴·b_1_1⁵ + b_2_5⁵·b_3_10
        + b_2_5⁵·b_3_9 + a_6_19·b_7_41 + b_2_5²·a_4_8·b_5_23 + b_2_5³·a_7_27 + b_2_5⁵·a_3_5
        + b_2_5⁶·a_1_2 + a_2_1·b_1_1⁸·b_3_9 + a_2_1·b_1_1¹¹ + a_2_1·b_6_31·b_1_1²·b_3_10
        + a_2_1·b_6_31·b_1_1²·b_3_9 + a_2_1·b_2_5·b_1_1⁶·b_3_10 + a_2_1·b_2_5·b_6_31·b_3_10
        + a_2_1·b_2_5²·b_1_1·b_3_9·b_3_10 + a_2_1·b_2_5²·b_1_1⁴·b_3_10
        + a_2_1·b_2_5³·b_5_23 + a_2_1·b_2_5³·b_1_1²·b_3_10 + a_2_1·b_2_5³·b_1_1⁵
        + a_2_1·b_2_5⁴·b_3_10 + a_2_1·b_2_5⁵·b_1_1 + a_2_1·b_2_5²·a_7_27
        + a_2_1·b_2_5⁴·a_3_5 + c_4_16·b_6_31·b_1_1³ + b_2_5·c_4_16·b_1_1·b_3_9·b_3_10
        + b_2_5·c_4_16·b_1_1⁴·b_3_10 + b_2_5·c_4_16·b_1_1⁴·b_3_9
        + b_2_5²·c_4_16·b_1_1²·b_3_10 + b_2_5²·c_4_16·b_1_1²·b_3_9
        + b_2_5³·c_4_16·b_1_1³ + b_2_5⁴·c_4_16·b_1_1 + b_2_5²·c_4_16·a_5_0
        + b_2_5⁴·c_4_16·a_1_2 + a_2_1·c_8_58·b_1_1³ + a_2_1·c_4_16·b_1_1·b_3_9·b_3_10
        + a_2_1·c_4_16·b_1_1⁴·b_3_10 + a_2_1·c_4_16·b_1_1⁴·b_3_9
        + a_2_1·c_4_16·b_6_31·b_1_1 + a_2_1·b_2_5·c_4_16·b_1_1⁵
        + a_2_1·b_2_5²·c_4_16·b_1_1³ + a_2_1·b_2_5³·c_4_16·b_1_1
        + a_2_1·b_2_5²·c_4_16·a_3_5 + a_2_3·c_4_16·a_7_27 + c_4_16·a_3_5³
        + b_2_5·c_4_16²·b_1_1³ + a_2_1·c_4_16²·b_1_1³ + a_2_3·c_4_16²·a_3_5
151. b_1_1¹⁰·b_3_10 + b_1_1¹⁰·b_3_9 + b_1_1¹³ + b_6_31·b_7_44 + b_6_31·b_7_41
        + b_6_31·b_1_1·b_3_9·b_3_10 + b_6_31·b_1_1⁴·b_3_10 + b_2_5·b_1_1⁵·b_3_9·b_3_10
        + b_2_5·b_1_1⁸·b_3_10 + b_2_5·b_1_1⁸·b_3_9 + b_2_5·b_6_31·b_1_1²·b_3_10
        + b_2_5·b_6_31·b_1_1²·b_3_9 + b_2_5²·b_1_1³·b_3_9·b_3_10 + b_2_5²·b_1_1⁶·b_3_9
        + b_2_5²·b_6_31·b_1_1³ + b_2_5³·b_7_44 + b_2_5³·b_7_41 + b_2_5³·b_1_1⁷
        + b_2_5³·b_6_31·b_1_1 + b_2_5⁴·b_1_1⁵ + b_2_5⁶·b_1_1 + b_6_31·a_7_27
        + b_2_5·a_4_8·b_7_44 + b_2_5²·a_4_8·b_5_23 + b_2_5⁴·a_5_0 + b_2_5⁶·a_1_2
        + a_2_1·b_1_1⁵·b_3_9·b_3_10 + a_2_1·b_1_1⁸·b_3_10 + a_2_1·b_1_1¹¹
        + a_2_1·b_6_31·b_1_1²·b_3_10 + a_2_1·b_2_5·b_1_1³·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁶·b_3_10 + a_2_1·b_2_5·b_6_31·b_3_9
        + a_2_1·b_2_5²·b_1_1·b_3_9·b_3_10 + a_2_1·b_2_5²·b_1_1⁴·b_3_10
        + a_2_1·b_2_5²·b_1_1⁴·b_3_9 + a_2_1·b_2_5²·b_1_1⁷ + a_2_1·b_2_5³·b_5_23
        + a_2_1·b_2_5³·b_1_1²·b_3_9 + a_2_1·b_2_5⁴·b_1_1³ + a_2_1·b_2_5⁵·b_1_1
        + b_2_5·a_4_8·a_7_27 + a_2_1·b_2_5²·a_7_27 + a_2_1·b_2_5⁴·a_3_5
        + c_8_58·b_1_1²·b_3_9 + c_8_58·b_1_1⁵ + c_4_16·b_1_1⁹ + c_4_16·b_6_31·b_3_10
        + c_4_16·b_6_31·b_3_9 + b_2_5·c_8_58·b_1_1³ + b_2_5·c_4_16·b_1_1⁴·b_3_9
        + b_2_5·c_4_16·b_6_31·b_1_1 + b_2_5²·c_4_16·b_5_23 + b_2_5³·c_4_16·b_3_10
        + b_2_5³·c_4_16·b_3_9 + b_2_5³·c_4_16·b_1_1³ + b_2_5·c_4_16·a_7_27
        + b_2_5⁴·c_4_16·a_1_2 + a_2_1·c_4_16·b_7_44 + a_2_1·c_4_16·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·c_8_58·b_1_1 + a_2_1·b_2_5²·c_4_16·b_1_1³
        + a_2_1·b_2_5³·c_4_16·b_1_1 + a_2_3·c_8_58·b_3_10 + a_2_3·c_4_16·b_7_44
        + b_2_5·a_4_8·c_4_16·a_3_5 + a_2_1·c_8_58·a_3_5 + a_2_1·c_4_16·a_7_27
        + a_2_1·b_2_5·c_8_58·a_1_2 + c_4_16·a_3_5³ + b_2_5²·c_4_16²·b_1_1
        + b_2_5·c_4_16²·a_3_5 + a_2_1·c_4_16²·b_3_10 + a_2_1·c_4_16²·b_3_9
        + a_2_1·c_4_16²·b_1_1³ + a_2_3·c_4_16²·b_3_10 + a_2_1·c_4_16²·a_3_4
        + a_2_1·b_2_5·c_4_16²·a_1_2 + c_4_16²·a_1_2²·a_3_5
152. a_8_35·a_5_0 + a_2_1·b_2_5²·a_7_27 + a_2_1·b_2_5⁴·a_3_5 + a_3_5²·a_7_27
        + c_4_16²·a_1_2²·a_3_5
153. a_8_35·b_5_23 + a_6_19·b_7_44 + a_6_19·b_7_41 + b_2_5·a_4_8·b_7_44 + b_2_5⁴·a_5_0
        + b_2_5⁵·a_3_5 + b_2_5⁶·a_1_2 + a_2_1·b_1_1·b_3_10·b_7_44
        + a_2_1·b_1_1⁵·b_3_9·b_3_10 + a_2_1·b_1_1⁸·b_3_10 + a_2_1·b_1_1⁸·b_3_9
        + a_2_1·b_6_31·b_1_1²·b_3_10 + a_2_1·b_6_31·b_1_1²·b_3_9
        + a_2_1·b_2_5·b_1_1³·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁹ + a_2_1·b_2_5·b_6_31·b_3_10
        + a_2_1·b_2_5·b_6_31·b_1_1³ + a_2_1·b_2_5³·b_1_1²·b_3_9 + a_2_1·b_2_5⁴·b_3_10
        + a_2_1·b_2_5⁵·b_1_1 + b_2_5·a_4_8·a_7_27 + a_2_1·b_2_5²·a_7_27 + a_2_1·b_2_5⁴·a_3_5
        + b_2_5²·a_3_5³ + a_4_8·c_4_16·b_5_23 + b_2_5⁴·c_4_16·a_1_2 + a_2_1·c_4_16·b_7_41
        + a_2_1·c_4_16·b_1_1·b_3_9·b_3_10 + a_2_1·c_4_16·b_1_1⁴·b_3_9
        + a_2_1·c_4_16·b_1_1⁷ + a_2_1·c_4_16·b_6_31·b_1_1 + a_2_1·b_2_5·c_4_16·b_5_23
        + a_2_1·b_2_5·c_4_16·b_1_1²·b_3_10 + a_2_1·b_2_5·c_4_16·b_1_1⁵
        + a_2_1·b_2_5²·c_4_16·b_3_10 + a_2_1·b_2_5²·c_4_16·b_1_1³ + a_2_3·c_4_16·b_7_44
        + b_2_5·a_4_8·c_4_16·a_3_5 + a_2_1·c_4_16·a_7_27 + a_2_3·c_4_16·a_7_27
        + b_2_5²·c_4_16²·a_1_2 + a_2_1·c_4_16²·b_1_1³ + a_2_3·c_4_16²·b_3_10
        + a_2_1·c_4_16²·a_3_5 + a_2_1·c_4_16²·a_3_4 + a_2_1·b_2_5·c_4_16²·a_1_2
        + a_2_3·c_4_16²·a_3_5
154. a_7_27² + b_2_5⁴·a_3_5² + b_2_5²·a_4_8·a_3_5² + b_2_5²·c_4_16·a_3_5²
        + c_4_16²·a_3_5²
155. b_7_41² + b_1_1¹⁴ + b_6_31²·b_1_1² + b_2_5·b_1_1⁹·b_3_9 + b_2_5²·b_1_1⁷·b_3_9
        + b_2_5³·b_1_1⁵·b_3_9 + b_2_5³·b_1_1⁸ + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁴·b_1_1⁶
        + b_2_5⁶·b_1_1² + b_2_5⁷ + b_2_5⁵·a_1_2·b_3_10 + a_2_1·b_2_5·b_1_1⁷·b_3_10
        + a_2_1·b_2_5·b_1_1⁷·b_3_9 + a_2_1·b_2_5²·b_1_1⁵·b_3_10
        + a_2_1·b_2_5²·b_1_1⁵·b_3_9 + a_2_1·b_2_5³·b_1_1³·b_3_10
        + a_2_1·b_2_5³·b_1_1³·b_3_9 + a_2_1·b_2_5⁴·b_1_1·b_3_10
        + a_2_1·b_2_5⁴·b_1_1·b_3_9 + b_2_5²·a_3_5·a_7_27 + b_2_5⁴·a_3_5²
        + a_2_1·b_2_5⁴·a_4_8 + a_4_8·a_3_5·a_7_27 + b_2_5·c_4_16·b_1_1⁸
        + b_2_5²·c_4_16·b_1_1⁶ + b_2_5³·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16·b_1_1²
        + a_2_1·b_2_5²·a_4_8·c_4_16 + c_4_16²·b_1_1⁶ + a_2_1·c_4_16²·a_1_2·a_3_5
156. b_7_44² + b_1_1¹¹·b_3_9 + b_2_5·b_1_1¹² + b_2_5·b_6_31² + b_2_5²·b_1_1⁷·b_3_9
        + b_2_5²·b_1_1¹⁰ + b_2_5³·b_1_1⁵·b_3_9 + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁴·b_1_1⁶
        + b_2_5⁵·b_1_1⁴ + b_2_5⁶·b_1_1² + b_2_5⁵·a_1_2·b_3_10 + a_2_1·b_1_1⁹·b_3_10
        + a_2_1·b_1_1⁹·b_3_9 + a_2_1·b_2_5²·b_1_1⁵·b_3_10 + a_2_1·b_2_5²·b_1_1⁵·b_3_9
        + a_2_1·b_2_5³·b_1_1³·b_3_10 + a_2_1·b_2_5³·b_1_1³·b_3_9
        + a_2_1·b_2_5⁴·b_1_1·b_3_10 + a_2_1·b_2_5⁴·b_1_1·b_3_9 + b_2_5²·a_3_5·a_7_27
        + b_2_5²·a_4_8·a_3_5² + c_4_16·b_1_1¹⁰ + b_2_5²·c_4_16·b_1_1⁶
        + b_2_5³·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16·b_1_1² + b_2_5³·c_4_16·a_1_2·b_3_10
        + c_4_16·a_3_5·a_7_27 + a_2_1·b_2_5²·a_4_8·c_4_16 + a_2_3·c_4_16·a_8_35
        + a_4_8·c_4_16·a_3_5² + a_2_1·c_8_58·a_1_2·a_3_5 + c_4_16²·b_1_1³·b_3_9
        + b_2_5³·c_4_16² + c_4_16²·a_1_2·b_5_23 + a_2_1·c_4_16²·b_1_1·b_3_10
        + a_2_1·c_4_16²·b_1_1·b_3_9 + c_4_16·c_8_58·a_1_2² + c_4_16²·a_3_5²
        + a_2_1·a_4_8·c_4_16² + a_2_3·a_2_1·b_2_5·c_4_16² + c_4_16³·b_1_1²
        + c_4_16³·a_1_2·b_1_1 + c_4_16³·a_1_2²
157. b_7_41·b_7_44 + b_1_1¹¹·b_3_9 + b_6_31·b_1_1⁵·b_3_10 + b_6_31·b_1_1⁸
        + b_6_31²·b_1_1² + b_2_5·b_1_1¹² + b_2_5·b_6_31·b_1_1³·b_3_9
        + b_2_5·b_6_31·b_1_1⁶ + b_2_5·b_6_31² + b_2_5²·b_3_10·b_7_44
        + b_2_5²·b_6_31·b_1_1⁴ + b_2_5³·b_1_1·b_7_44 + b_2_5³·b_1_1²·b_3_9·b_3_10
        + b_2_5³·b_1_1⁵·b_3_10 + b_2_5³·b_1_1⁵·b_3_9 + b_2_5³·b_1_1⁸
        + b_2_5³·b_6_31·b_1_1² + b_2_5⁴·b_1_1·b_5_23 + b_2_5⁴·b_1_1³·b_3_10
        + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁵·b_1_1·b_3_9 + b_2_5⁵·b_1_1⁴ + b_2_5⁶·b_1_1²
        + b_2_5⁷ + a_7_27·b_7_44 + b_2_5³·a_1_2·b_7_44 + b_2_5⁵·a_1_2·b_3_10 + b_2_5⁵·a_4_8
        + a_2_1·b_1_1⁹·b_3_10 + a_2_1·b_6_31·b_1_1³·b_3_9 + a_2_1·b_6_31²
        + a_2_1·b_2_5·b_1_1⁴·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁷·b_3_9
        + a_2_1·b_2_5·b_1_1¹⁰ + a_2_1·b_2_5·b_6_31·b_1_1·b_3_10
        + a_2_1·b_2_5·b_6_31·b_1_1·b_3_9 + a_2_1·b_2_5²·b_3_10·b_5_23
        + a_2_1·b_2_5²·b_1_1·b_7_44 + a_2_1·b_2_5²·b_1_1⁵·b_3_10
        + a_2_1·b_2_5²·b_1_1⁵·b_3_9 + a_2_1·b_2_5²·b_1_1⁸
        + a_2_1·b_2_5²·b_6_31·b_1_1² + a_2_1·b_2_5³·b_3_9·b_3_10
        + a_2_1·b_2_5³·b_1_1·b_5_23 + a_2_1·b_2_5³·b_1_1³·b_3_10
        + a_2_1·b_2_5⁴·b_1_1·b_3_10 + a_2_1·b_2_5⁴·b_1_1⁴ + a_2_1·b_2_5⁶
        + b_2_5²·a_3_5·a_7_27 + b_2_5⁴·a_3_5² + a_2_1·b_2_5⁴·a_4_8
        + b_2_5²·a_4_8·a_3_5² + c_8_58·b_1_1³·b_3_9 + c_8_58·b_1_1⁶ + c_4_16·b_1_1¹⁰
        + c_4_16·b_6_31·b_1_1·b_3_10 + c_4_16·b_6_31·b_1_1⁴ + b_2_5·c_4_16·b_1_1⁵·b_3_10
        + b_2_5·c_4_16·b_1_1⁸ + b_2_5²·c_4_16·b_1_1³·b_3_9 + b_2_5²·c_4_16·b_1_1⁶
        + b_2_5³·c_4_16·b_1_1·b_3_10 + b_2_5³·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16·b_1_1²
        + b_2_5⁵·c_4_16 + b_2_5·c_4_16·a_1_2·b_7_44 + b_2_5·c_4_16·a_8_35
        + b_2_5³·a_4_8·c_4_16 + a_2_1·c_8_58·b_1_1⁴ + a_2_1·c_4_16·b_1_1·b_7_44
        + a_2_1·c_4_16·b_1_1²·b_3_9·b_3_10 + a_2_1·c_4_16·b_1_1⁵·b_3_10
        + a_2_1·b_2_5·c_8_58·b_1_1² + a_2_1·b_2_5·c_4_16·b_3_9·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1·b_5_23 + a_2_1·b_2_5·c_4_16·b_1_1³·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁶ + a_2_1·b_2_5²·c_4_16·b_1_1·b_3_9
        + a_2_1·b_2_5²·c_4_16·b_1_1⁴ + b_2_5·c_8_58·a_1_2·a_3_5 + a_2_1·c_4_16·a_8_35
        + a_2_1·a_4_8·c_8_58 + a_2_1·b_2_5²·a_4_8·c_4_16 + a_2_3·a_4_8·c_8_58
        + a_2_3·a_2_1·b_2_5·c_8_58 + a_4_8·c_4_16·a_3_5² + a_2_1·c_8_58·a_1_2·a_3_5
        + c_4_16²·b_1_1³·b_3_10 + c_4_16²·b_1_1⁶ + b_2_5·c_4_16²·b_1_1·b_3_9
        + b_2_5·c_4_16²·b_1_1⁴ + b_2_5²·c_4_16²·b_1_1² + b_2_5·a_4_8·c_4_16²
        + a_2_1·c_4_16²·b_1_1·b_3_10 + a_2_1·c_4_16²·b_1_1·b_3_9
        + a_2_1·b_2_5·c_4_16²·b_1_1² + c_4_16²·a_3_5² + a_2_1·c_4_16²·a_1_2·a_3_5
        + c_4_16³·a_1_2·b_1_1 + c_4_16³·a_1_2²
158. b_7_41·b_7_44 + b_1_1¹¹·b_3_9 + b_6_31·b_1_1⁵·b_3_10 + b_6_31·b_1_1⁸
        + b_6_31²·b_1_1² + b_2_5·b_1_1¹² + b_2_5·b_6_31·b_1_1³·b_3_9
        + b_2_5·b_6_31·b_1_1⁶ + b_2_5·b_6_31² + b_2_5²·b_3_10·b_7_44
        + b_2_5²·b_6_31·b_1_1⁴ + b_2_5³·b_1_1·b_7_44 + b_2_5³·b_1_1²·b_3_9·b_3_10
        + b_2_5³·b_1_1⁵·b_3_10 + b_2_5³·b_1_1⁵·b_3_9 + b_2_5³·b_1_1⁸
        + b_2_5³·b_6_31·b_1_1² + b_2_5⁴·b_1_1·b_5_23 + b_2_5⁴·b_1_1³·b_3_10
        + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁵·b_1_1·b_3_9 + b_2_5⁵·b_1_1⁴ + b_2_5⁶·b_1_1²
        + b_2_5⁷ + a_7_27·b_7_41 + b_2_5³·a_8_35 + b_2_5⁵·a_4_8 + a_2_1·b_1_1⁹·b_3_10
        + a_2_1·b_1_1¹² + a_2_1·b_6_31·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁴·b_3_9·b_3_10
        + a_2_1·b_2_5·b_1_1⁷·b_3_9 + a_2_1·b_2_5·b_6_31·b_1_1·b_3_10
        + a_2_1·b_2_5²·b_1_1·b_7_44 + a_2_1·b_2_5²·b_1_1²·b_3_9·b_3_10
        + a_2_1·b_2_5²·b_1_1⁵·b_3_10 + a_2_1·b_2_5²·b_1_1⁸
        + a_2_1·b_2_5²·b_6_31·b_1_1² + a_2_1·b_2_5³·b_3_9·b_3_10
        + a_2_1·b_2_5³·b_1_1³·b_3_10 + a_2_1·b_2_5³·b_1_1³·b_3_9 + a_2_1·b_2_5³·b_6_31
        + a_2_1·b_2_5⁴·b_1_1·b_3_10 + a_2_1·b_2_5⁴·b_1_1·b_3_9 + a_2_1·b_2_5⁴·b_1_1⁴
        + a_2_1·b_2_5⁵·b_1_1² + a_2_1·b_2_5⁴·a_4_8 + a_4_8·a_3_5·a_7_27
        + b_2_5²·a_4_8·a_3_5² + c_8_58·b_1_1³·b_3_9 + c_8_58·b_1_1⁶ + c_4_16·b_1_1¹⁰
        + c_4_16·b_6_31·b_1_1·b_3_10 + c_4_16·b_6_31·b_1_1⁴ + b_2_5·c_4_16·b_1_1⁵·b_3_10
        + b_2_5·c_4_16·b_1_1⁸ + b_2_5²·c_4_16·b_1_1³·b_3_9 + b_2_5²·c_4_16·b_1_1⁶
        + b_2_5³·c_4_16·b_1_1·b_3_10 + b_2_5³·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16·b_1_1²
        + b_2_5⁵·c_4_16 + a_4_8·c_4_16·b_6_31 + b_2_5²·c_4_16·a_6_19
        + a_2_1·c_8_58·b_1_1·b_3_9 + a_2_1·c_8_58·b_1_1⁴ + a_2_1·c_4_16·b_3_10·b_5_23
        + a_2_1·c_4_16·b_1_1·b_7_44 + a_2_1·c_4_16·b_1_1²·b_3_9·b_3_10
        + a_2_1·c_4_16·b_1_1⁵·b_3_10 + a_2_1·c_4_16·b_1_1⁵·b_3_9
        + a_2_1·b_2_5·c_4_16·b_1_1·b_5_23 + a_2_1·b_2_5·c_4_16·b_1_1⁶
        + a_2_1·b_2_5²·c_4_16·b_1_1·b_3_9 + a_2_1·b_2_5²·c_4_16·b_1_1⁴
        + a_2_1·b_2_5³·c_4_16·b_1_1² + c_4_16·a_3_5·a_7_27 + b_2_5·c_8_58·a_1_2·a_3_5
        + a_2_1·a_4_8·c_8_58 + a_2_3·a_2_1·b_2_5·c_8_58 + a_2_1·c_8_58·a_1_2·a_3_5
        + c_4_16²·b_1_1³·b_3_10 + c_4_16²·b_1_1⁶ + b_2_5·c_4_16²·b_1_1·b_3_9
        + b_2_5·c_4_16²·b_1_1⁴ + b_2_5²·c_4_16²·b_1_1² + a_2_1·c_4_16²·b_1_1⁴
        + c_4_16²·a_3_5² + a_2_3·a_2_1·b_2_5·c_4_16²
159. b_7_44² + b_1_1¹¹·b_3_9 + b_2_5·b_1_1¹² + b_2_5·b_6_31² + b_2_5²·b_1_1⁷·b_3_9
        + b_2_5²·b_1_1¹⁰ + b_2_5³·b_1_1⁵·b_3_9 + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁴·b_1_1⁶
        + b_2_5⁵·b_1_1⁴ + b_2_5⁶·b_1_1² + a_7_27·b_7_41 + b_2_5²·a_4_8·b_6_31
        + b_2_5⁵·a_1_2·b_3_10 + a_2_1·b_6_31·b_1_1³·b_3_10 + a_2_1·b_6_31·b_1_1³·b_3_9
        + a_2_1·b_6_31·b_1_1⁶ + a_2_1·b_6_31² + a_2_1·b_2_5·b_3_10·b_7_44
        + a_2_1·b_2_5·b_1_1⁴·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁷·b_3_9
        + a_2_1·b_2_5·b_1_1¹⁰ + a_2_1·b_2_5·b_6_31·b_1_1·b_3_10
        + a_2_1·b_2_5·b_6_31·b_1_1·b_3_9 + a_2_1·b_2_5·b_6_31·b_1_1⁴
        + a_2_1·b_2_5²·b_3_10·b_5_23 + a_2_1·b_2_5²·b_1_1·b_7_44 + a_2_1·b_2_5²·b_1_1⁸
        + a_2_1·b_2_5²·b_6_31·b_1_1² + a_2_1·b_2_5³·b_1_1·b_5_23
        + a_2_1·b_2_5³·b_1_1³·b_3_9 + a_2_1·b_2_5⁴·b_1_1⁴ + a_2_1·b_2_5⁶
        + b_2_5⁴·a_3_5² + a_2_1·b_2_5²·a_8_35 + a_2_1·b_2_5⁴·a_4_8 + a_4_8·a_3_5·a_7_27
        + b_2_5²·a_4_8·a_3_5² + c_4_16·b_1_1¹⁰ + b_2_5²·c_4_16·b_1_1⁶
        + b_2_5³·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16·b_1_1² + b_2_5·c_4_16·a_1_2·b_7_44
        + b_2_5³·a_4_8·c_4_16 + a_2_1·c_4_16·b_3_10·b_5_23 + a_2_1·c_4_16·b_1_1⁵·b_3_10
        + a_2_1·c_4_16·b_1_1⁵·b_3_9 + a_2_1·c_4_16·b_6_31·b_1_1²
        + a_2_1·b_2_5·c_4_16·b_1_1·b_5_23 + a_2_1·b_2_5·c_4_16·b_1_1³·b_3_9
        + a_2_1·b_2_5·c_4_16·b_6_31 + a_2_1·b_2_5²·c_4_16·b_1_1·b_3_10
        + a_2_1·b_2_5⁴·c_4_16 + c_4_16·a_3_5·a_7_27 + c_4_16²·b_1_1³·b_3_9
        + b_2_5³·c_4_16² + c_4_16²·a_1_2·b_5_23 + b_2_5·c_4_16²·a_1_2·b_3_10
        + a_2_1·c_4_16²·b_1_1·b_3_9 + a_2_1·b_2_5·c_4_16²·b_1_1² + c_4_16·c_8_58·a_1_2²
        + c_4_16²·a_3_5² + b_2_5·c_4_16²·a_1_2·a_3_5 + a_2_3·a_4_8·c_4_16²
        + a_2_3·a_2_1·b_2_5·c_4_16² + a_2_1·c_4_16²·a_1_2·a_3_5 + c_4_16³·b_1_1²
        + c_4_16³·a_1_2·b_1_1 + c_4_16³·a_1_2²
160. b_7_41·b_7_44 + b_1_1¹¹·b_3_9 + b_6_31·b_1_1⁵·b_3_10 + b_6_31·b_1_1⁸
        + b_6_31²·b_1_1² + b_2_5·b_1_1¹² + b_2_5·b_6_31·b_1_1³·b_3_9
        + b_2_5·b_6_31·b_1_1⁶ + b_2_5·b_6_31² + b_2_5²·b_3_10·b_7_44
        + b_2_5²·b_6_31·b_1_1⁴ + b_2_5³·b_1_1·b_7_44 + b_2_5³·b_1_1²·b_3_9·b_3_10
        + b_2_5³·b_1_1⁵·b_3_10 + b_2_5³·b_1_1⁵·b_3_9 + b_2_5³·b_1_1⁸
        + b_2_5³·b_6_31·b_1_1² + b_2_5⁴·b_1_1·b_5_23 + b_2_5⁴·b_1_1³·b_3_10
        + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁵·b_1_1·b_3_9 + b_2_5⁵·b_1_1⁴ + b_2_5⁶·b_1_1²
        + b_2_5⁷ + a_7_27·b_7_44 + b_2_5³·a_1_2·b_7_44 + b_2_5⁵·a_1_2·b_3_10 + b_2_5⁵·a_4_8
        + a_2_1·b_1_1⁹·b_3_10 + a_2_1·b_6_31·b_1_1³·b_3_9 + a_2_1·b_6_31²
        + a_2_1·b_2_5·b_1_1⁴·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁷·b_3_9
        + a_2_1·b_2_5·b_1_1¹⁰ + a_2_1·b_2_5·b_6_31·b_1_1·b_3_10
        + a_2_1·b_2_5·b_6_31·b_1_1·b_3_9 + a_2_1·b_2_5²·b_3_10·b_5_23
        + a_2_1·b_2_5²·b_1_1·b_7_44 + a_2_1·b_2_5²·b_1_1⁵·b_3_10
        + a_2_1·b_2_5²·b_1_1⁵·b_3_9 + a_2_1·b_2_5²·b_1_1⁸
        + a_2_1·b_2_5²·b_6_31·b_1_1² + a_2_1·b_2_5³·b_3_9·b_3_10
        + a_2_1·b_2_5³·b_1_1·b_5_23 + a_2_1·b_2_5³·b_1_1³·b_3_10
        + a_2_1·b_2_5⁴·b_1_1·b_3_10 + a_2_1·b_2_5⁴·b_1_1⁴ + a_2_1·b_2_5⁶ + a_6_19·a_8_35
        + b_2_5²·a_3_5·a_7_27 + b_2_5⁴·a_3_5² + a_2_1·b_2_5⁴·a_4_8 + a_4_8·a_3_5·a_7_27
        + c_8_58·b_1_1³·b_3_9 + c_8_58·b_1_1⁶ + c_4_16·b_1_1¹⁰
        + c_4_16·b_6_31·b_1_1·b_3_10 + c_4_16·b_6_31·b_1_1⁴ + b_2_5·c_4_16·b_1_1⁵·b_3_10
        + b_2_5·c_4_16·b_1_1⁸ + b_2_5²·c_4_16·b_1_1³·b_3_9 + b_2_5²·c_4_16·b_1_1⁶
        + b_2_5³·c_4_16·b_1_1·b_3_10 + b_2_5³·c_4_16·b_1_1⁴ + b_2_5⁴·c_4_16·b_1_1²
        + b_2_5⁵·c_4_16 + b_2_5·c_4_16·a_1_2·b_7_44 + b_2_5·c_4_16·a_8_35
        + b_2_5³·a_4_8·c_4_16 + a_2_1·c_8_58·b_1_1⁴ + a_2_1·c_4_16·b_1_1·b_7_44
        + a_2_1·c_4_16·b_1_1²·b_3_9·b_3_10 + a_2_1·c_4_16·b_1_1⁵·b_3_10
        + a_2_1·b_2_5·c_8_58·b_1_1² + a_2_1·b_2_5·c_4_16·b_3_9·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1·b_5_23 + a_2_1·b_2_5·c_4_16·b_1_1³·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁶ + a_2_1·b_2_5²·c_4_16·b_1_1·b_3_9
        + a_2_1·b_2_5²·c_4_16·b_1_1⁴ + b_2_5·c_8_58·a_1_2·a_3_5 + a_2_1·a_4_8·c_8_58
        + a_2_3·a_4_8·c_8_58 + a_2_3·a_2_1·b_2_5·c_8_58 + a_4_8·c_4_16·a_3_5²
        + a_2_1·c_8_58·a_1_2·a_3_5 + c_4_16²·b_1_1³·b_3_10 + c_4_16²·b_1_1⁶
        + b_2_5·c_4_16²·b_1_1·b_3_9 + b_2_5·c_4_16²·b_1_1⁴ + b_2_5²·c_4_16²·b_1_1²
        + b_2_5·a_4_8·c_4_16² + a_2_1·c_4_16²·b_1_1·b_3_10 + a_2_1·c_4_16²·b_1_1·b_3_9
        + a_2_1·b_2_5·c_4_16²·b_1_1² + c_4_16²·a_3_5² + c_4_16³·a_1_2·b_1_1
        + c_4_16³·a_1_2²
161. b_7_44² + b_1_1¹¹·b_3_9 + b_2_5·b_1_1¹² + b_2_5·b_6_31² + b_2_5²·b_1_1⁷·b_3_9
        + b_2_5²·b_1_1¹⁰ + b_2_5³·b_1_1⁵·b_3_9 + b_2_5⁴·b_1_1³·b_3_9 + b_2_5⁴·b_1_1⁶
        + b_2_5⁵·b_1_1⁴ + b_2_5⁶·b_1_1² + a_7_27·b_7_44 + b_6_31·a_8_35
        + b_2_5²·a_4_8·b_6_31 + b_2_5⁵·a_1_2·b_3_10 + a_2_1·b_1_1⁹·b_3_10
        + a_2_1·b_1_1⁹·b_3_9 + a_2_1·b_6_31·b_3_9·b_3_10 + a_2_1·b_6_31·b_1_1³·b_3_10
        + a_2_1·b_6_31·b_1_1³·b_3_9 + a_2_1·b_6_31·b_1_1⁶ + a_2_1·b_2_5·b_1_1⁷·b_3_9
        + a_2_1·b_2_5·b_1_1¹⁰ + a_2_1·b_2_5²·b_1_1²·b_3_9·b_3_10
        + a_2_1·b_2_5²·b_1_1⁵·b_3_10 + a_2_1·b_2_5³·b_3_9·b_3_10
        + a_2_1·b_2_5³·b_1_1·b_5_23 + a_2_1·b_2_5³·b_1_1⁶ + a_2_1·b_2_5³·b_6_31
        + a_2_1·b_2_5⁴·b_1_1·b_3_10 + a_2_1·b_2_5⁴·b_1_1·b_3_9 + a_2_1·b_2_5⁴·b_1_1⁴
        + a_2_1·b_2_5⁵·b_1_1² + a_2_1·b_2_5⁶ + b_2_5⁴·a_3_5² + b_2_5²·a_4_8·a_3_5²
        + c_4_16·b_1_1¹⁰ + b_2_5²·c_4_16·b_1_1⁶ + b_2_5³·c_4_16·b_1_1⁴
        + b_2_5⁴·c_4_16·b_1_1² + a_4_8·c_4_16·b_6_31 + b_2_5·c_4_16·a_1_2·b_7_44
        + b_2_5·c_4_16·a_8_35 + b_2_5³·c_4_16·a_1_2·b_3_10 + b_2_5³·a_4_8·c_4_16
        + a_2_1·c_8_58·b_1_1⁴ + a_2_1·c_4_16·b_1_1⁵·b_3_10 + a_2_1·c_4_16·b_1_1⁸
        + a_2_1·c_4_16·b_6_31·b_1_1² + a_2_1·b_2_5·c_4_16·b_1_1·b_5_23
        + a_2_1·b_2_5·c_4_16·b_1_1³·b_3_9 + a_2_1·b_2_5²·c_4_16·b_1_1·b_3_9
        + a_2_1·b_2_5²·c_4_16·b_1_1⁴ + b_2_5²·c_4_16·a_3_5²
        + a_2_1·b_2_5²·a_4_8·c_4_16 + a_4_8·c_4_16·a_3_5² + a_2_1·c_8_58·a_1_2·a_3_5
        + c_4_16²·b_1_1³·b_3_9 + b_2_5³·c_4_16² + c_4_16²·a_1_2·b_5_23
        + b_2_5·a_4_8·c_4_16² + a_2_1·c_4_16²·b_1_1·b_3_10 + a_2_1·c_4_16²·b_1_1⁴
        + a_2_1·b_2_5·c_4_16²·b_1_1² + a_2_1·b_2_5²·c_4_16² + c_4_16·c_8_58·a_1_2²
        + c_4_16²·a_3_5² + b_2_5·c_4_16²·a_1_2·a_3_5 + a_2_1·a_4_8·c_4_16²
        + a_2_3·a_2_1·b_2_5·c_4_16² + a_2_1·c_4_16²·a_1_2·a_3_5 + c_4_16³·b_1_1²
162. a_8_35·b_7_41 + b_2_5²·a_4_8·b_7_44 + b_2_5⁵·a_5_0 + b_2_5⁶·a_3_5 + b_2_5⁷·a_1_2
        + a_2_1·b_6_31·b_7_44 + a_2_1·b_6_31·b_1_1·b_3_9·b_3_10 + a_2_1·b_6_31·b_1_1⁴·b_3_10
        + a_2_1·b_6_31²·b_1_1 + a_2_1·b_2_5·b_1_1⁸·b_3_10
        + a_2_1·b_2_5·b_6_31·b_1_1²·b_3_10 + a_2_1·b_2_5·b_6_31·b_1_1²·b_3_9
        + a_2_1·b_2_5·b_6_31·b_1_1⁵ + a_2_1·b_2_5²·b_1_1³·b_3_9·b_3_10
        + a_2_1·b_2_5²·b_1_1⁶·b_3_10 + a_2_1·b_2_5²·b_1_1⁹ + a_2_1·b_2_5²·b_6_31·b_3_10
        + a_2_1·b_2_5²·b_6_31·b_3_9 + a_2_1·b_2_5²·b_6_31·b_1_1³
        + a_2_1·b_2_5³·b_1_1⁴·b_3_10 + a_2_1·b_2_5³·b_1_1⁴·b_3_9 + a_2_1·b_2_5³·b_1_1⁷
        + a_2_1·b_2_5³·b_6_31·b_1_1 + b_2_5⁴·a_4_8·a_3_5 + a_2_1·b_2_5³·a_7_27
        + b_2_5⁴·c_4_16·a_3_5 + b_2_5⁵·c_4_16·a_1_2 + a_2_1·c_4_16·b_6_31·b_3_10
        + a_2_1·b_2_5·c_4_16·b_7_41 + a_2_1·b_2_5·c_4_16·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁴·b_3_10 + a_2_1·b_2_5³·c_4_16·b_3_9
        + a_2_1·b_2_5³·c_4_16·b_1_1³ + a_4_8·c_4_16·a_7_27 + a_2_1·b_2_5³·c_4_16·a_3_5
        + a_2_1·b_2_5²·c_4_16²·b_1_1 + a_4_8·c_4_16²·a_3_5 + a_2_1·c_4_16²·a_5_0
        + a_2_1·b_2_5·c_4_16²·a_3_5 + a_2_3·b_2_5·c_4_16²·a_3_5
        + a_2_3·a_2_1·c_4_16²·b_3_10
163. a_8_35·b_7_44 + b_2_5²·a_4_8·b_7_44 + b_2_5⁵·a_5_0 + b_2_5⁶·a_3_5 + b_2_5⁷·a_1_2
        + a_2_1·b_6_31·b_7_44 + a_2_1·b_6_31·b_1_1·b_3_9·b_3_10 + a_2_1·b_6_31·b_1_1⁴·b_3_9
        + a_2_1·b_2_5·b_1_1⁵·b_3_9·b_3_10 + a_2_1·b_2_5·b_1_1⁸·b_3_9
        + a_2_1·b_2_5·b_6_31·b_1_1²·b_3_10 + a_2_1·b_2_5·b_6_31·b_1_1²·b_3_9
        + a_2_1·b_2_5·b_6_31·b_1_1⁵ + a_2_1·b_2_5²·b_1_1⁶·b_3_9 + a_2_1·b_2_5²·b_1_1⁹
        + a_2_1·b_2_5²·b_6_31·b_3_9 + a_2_1·b_2_5³·b_7_44
        + a_2_1·b_2_5³·b_1_1·b_3_9·b_3_10 + a_2_1·b_2_5³·b_1_1⁴·b_3_10
        + a_2_1·b_2_5³·b_1_1⁴·b_3_9 + a_2_1·b_2_5⁴·b_1_1²·b_3_10 + a_2_1·b_2_5⁴·b_1_1⁵
        + a_2_1·b_2_5⁵·b_3_9 + a_2_1·b_2_5⁶·b_1_1 + b_2_5²·a_4_8·a_7_27
        + a_2_1·b_2_5³·a_7_27 + a_2_1·b_2_5⁵·a_3_5 + b_2_5·a_3_5²·a_7_27
        + a_4_8·c_4_16·b_7_44 + b_2_5³·c_4_16·a_5_0 + b_2_5⁴·c_4_16·a_3_5
        + a_2_1·c_4_16·b_1_1³·b_3_9·b_3_10 + a_2_1·c_4_16·b_1_1⁶·b_3_10
        + a_2_1·c_4_16·b_1_1⁹ + a_2_1·c_4_16·b_6_31·b_3_9 + a_2_1·b_2_5·c_8_58·b_1_1³
        + a_2_1·b_2_5·c_4_16·b_7_44 + a_2_1·b_2_5·c_4_16·b_1_1·b_3_9·b_3_10
        + a_2_1·b_2_5·c_4_16·b_1_1⁴·b_3_9 + a_2_1·b_2_5·c_4_16·b_6_31·b_1_1
        + a_2_1·b_2_5²·c_4_16·b_1_1²·b_3_10 + a_2_1·b_2_5³·c_4_16·b_3_9
        + b_2_5²·a_4_8·c_4_16·a_3_5 + a_2_1·b_2_5·c_4_16·a_7_27 + a_2_3·c_8_58·a_5_0
        + a_2_3·a_2_1·c_8_58·b_3_10 + b_2_5·c_4_16·a_3_5³ + b_2_5²·c_4_16²·a_3_5
        + a_2_1·c_4_16²·b_1_1²·b_3_10 + a_2_1·b_2_5·c_4_16²·b_1_1³
        + a_4_8·c_4_16²·a_3_5 + a_2_1·b_2_5·c_4_16²·a_3_5 + a_2_3·c_4_16·c_8_58·a_1_2
        + a_2_3·a_2_1·c_4_16²·b_3_10 + a_2_1·c_4_16³·b_1_1 + a_2_3·c_4_16³·b_1_1
        + a_2_1·c_4_16³·a_1_2 + a_2_3·c_4_16³·a_1_2
164. a_8_35·a_7_27 + b_2_5²·a_4_8·a_7_27 + b_2_5⁴·a_4_8·a_3_5 + a_2_1·b_2_5³·a_7_27
        + a_2_1·b_2_5⁵·a_3_5 + a_4_8·c_4_16·a_7_27 + b_2_5²·a_4_8·c_4_16·a_3_5
        + a_2_1·b_2_5·c_4_16·a_7_27 + a_2_1·b_2_5³·c_4_16·a_3_5 + a_2_3·b_2_5·c_4_16·a_7_27
        + a_4_8·c_4_16²·a_3_5 + a_2_1·b_2_5·c_4_16²·a_3_5
165. a_8_35² + b_2_5³·a_4_8·a_3_5² + b_2_5³·c_4_16·a_3_5²

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Data used for Benson′s test

• Benson′s completion test succeeded in degree 16.
• 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_16, a Duflot regular element of degree 4
  2. c_8_58, a Duflot regular element of degree 8
  3. b_1_1⁴ + b_2_5·b_1_1² + b_2_5², an element of degree 4
  4. b_3_9, an element of degree 3
• The Raw Filter Degree Type of that HSOP is [-1, -1, 8, 12, 15].
• The filter degree type of any filter regular HSOP is [-1, -2, -3, -4, -4].

About the group

Ring generators

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Restriction maps

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

1. a_1_0 → 0, an element of degree 1
2. a_1_2 → 0, an element of degree 1
3. b_1_1 → 0, an element of degree 1
4. a_2_3 → 0, an element of degree 2
5. a_2_1 → 0, an element of degree 2
6. b_2_5 → 0, an element of degree 2
7. a_3_4 → 0, an element of degree 3
8. a_3_5 → 0, an element of degree 3
9. b_3_9 → 0, an element of degree 3
10. b_3_10 → 0, an element of degree 3
11. a_4_7 → 0, an element of degree 4
12. a_4_8 → 0, an element of degree 4
13. c_4_16 → c_1_0⁴, an element of degree 4
14. a_5_0 → 0, an element of degree 5
15. b_5_23 → 0, an element of degree 5
16. a_6_19 → 0, an element of degree 6
17. b_6_31 → 0, an element of degree 6
18. a_7_27 → 0, an element of degree 7
19. b_7_41 → 0, an element of degree 7
20. b_7_44 → 0, an element of degree 7
21. a_8_35 → 0, an element of degree 8
22. c_8_58 → c_1_1⁸, an element of degree 8

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

1. a_1_0 → 0, an element of degree 1
2. a_1_2 → 0, an element of degree 1
3. b_1_1 → c_1_3, an element of degree 1
4. a_2_3 → 0, an element of degree 2
5. a_2_1 → 0, an element of degree 2
6. b_2_5 → c_1_2², an element of degree 2
7. a_3_4 → 0, an element of degree 3
8. a_3_5 → 0, an element of degree 3
9. b_3_9 → c_1_2·c_1_3² + c_1_2²·c_1_3, an element of degree 3
10. b_3_10 → c_1_3³ + c_1_2³ + c_1_0·c_1_3² + c_1_0²·c_1_3, an element of degree 3
11. a_4_7 → 0, an element of degree 4
12. a_4_8 → 0, an element of degree 4
13. c_4_16 → c_1_2·c_1_3³ + c_1_0²·c_1_3² + c_1_0⁴, an element of degree 4
14. a_5_0 → 0, an element of degree 5
15. b_5_23 → c_1_2²·c_1_3³ + c_1_2⁵ + c_1_0²·c_1_3³ + c_1_0⁴·c_1_3, an element of degree 5
16. a_6_19 → 0, an element of degree 6
17. b_6_31 → c_1_2²·c_1_3⁴ + c_1_2³·c_1_3³ + c_1_2⁴·c_1_3² + c_1_2⁶ + c_1_1²·c_1_3⁴
       + c_1_1⁴·c_1_3² + c_1_0·c_1_3⁵ + c_1_0·c_1_2·c_1_3⁴ + c_1_0·c_1_2²·c_1_3³
       + c_1_0²·c_1_3⁴ + c_1_0²·c_1_2·c_1_3³ + c_1_0²·c_1_2⁴, an element of degree 6
18. a_7_27 → 0, an element of degree 7
19. b_7_41 → c_1_3⁷ + c_1_2·c_1_3⁶ + c_1_2³·c_1_3⁴ + c_1_2⁴·c_1_3³ + c_1_2⁵·c_1_3²
       + c_1_2⁷ + c_1_1²·c_1_3⁵ + c_1_1⁴·c_1_3³ + c_1_0·c_1_3⁶
       + c_1_0·c_1_2³·c_1_3³ + c_1_0·c_1_2⁴·c_1_3² + c_1_0²·c_1_2²·c_1_3³
       + c_1_0²·c_1_2³·c_1_3² + c_1_0⁴·c_1_3³, an element of degree 7
20. b_7_44 → c_1_2⁵·c_1_3² + c_1_2⁶·c_1_3 + c_1_2⁷ + c_1_1²·c_1_2·c_1_3⁴
       + c_1_1⁴·c_1_2·c_1_3² + c_1_0·c_1_3⁶ + c_1_0·c_1_2⁴·c_1_3² + c_1_0²·c_1_3⁵
       + c_1_0²·c_1_2·c_1_3⁴ + c_1_0²·c_1_2⁴·c_1_3 + c_1_0²·c_1_2⁵ + c_1_0³·c_1_3⁴
       + c_1_0⁴·c_1_3³ + c_1_0⁴·c_1_2·c_1_3² + c_1_0⁴·c_1_2³ + c_1_0⁵·c_1_3²
       + c_1_0⁶·c_1_3, an element of degree 7
21. a_8_35 → 0, an element of degree 8
22. c_8_58 → c_1_2⁴·c_1_3⁴ + c_1_2⁶·c_1_3² + c_1_2⁷·c_1_3 + c_1_1²·c_1_2·c_1_3⁵
       + c_1_1²·c_1_2²·c_1_3⁴ + c_1_1²·c_1_2⁴·c_1_3² + c_1_1⁴·c_1_3⁴
       + c_1_1⁴·c_1_2·c_1_3³ + c_1_1⁴·c_1_2²·c_1_3² + c_1_1⁴·c_1_2⁴ + c_1_1⁸
       + c_1_0·c_1_3⁷ + c_1_0·c_1_2³·c_1_3⁴ + c_1_0²·c_1_3⁶ + 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_0⁴·c_1_2·c_1_3³
       + c_1_0⁴·c_1_2⁴, an element of degree 8

About the group

Ring generators

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Completion information

Restriction maps

Back to groups of order 128