Mod-2-Cohomology of J2, a group of order 604800

About the group Ring generators Ring relations Completion information Restriction maps


General information on the group

  • J2 is a group of order 604800.
  • The group order factors as 27 · 33 · 52 · 7.
  • The group is defined by Group([(1,84)(2,20)(3,48)(4,56)(5,82)(6,67)(7,55)(8,41)(9,35)(10,40)(11,78)(12,100)(13,49)(14,37)(15,94)(16,76)(17,19)(18,44)(21,34)(22,85)(23,92)(24,57)(25,75)(26,28)(27,64)(29,90)(30,97)(31,38)(32,68)(33,69)(36,53)(39,61)(42,73)(43,91)(45,86)(46,81)(47,89)(50,93)(51,96)(52,72)(54,74)(58,99)(59,95)(60,63)(62,83)(65,70)(66,88)(71,87)(77,98)(79,80),(1,80,22)(2,9,11)(3,53,87)(4,23,78)(5,51,18)(6,37,24)(8,27,60)(10,62,47)(12,65,31)(13,64,19)(14,61,52)(15,98,25)(16,73,32)(17,39,33)(20,97,58)(21,96,67)(26,93,99)(28,57,35)(29,71,55)(30,69,45)(34,86,82)(38,59,94)(40,43,91)(42,68,44)(46,85,89)(48,76,90)(49,92,77)(50,66,88)(54,95,56)(63,74,72)(70,81,75)(79,100,83)]).
  • It is non-abelian.
  • It has 2-Rank 4.
  • The centre of a Sylow 2-subgroup has rank 1.
  • Its Sylow 2-subgroup has 2 conjugacy classes of maximal elementary abelian subgroups, which are of rank 2 and 4, respectively.


Structure of the cohomology ring

The computation was based on 1 stability condition for H*(SmallGroup(1920,241004); GF(2)).

General information

  • The cohomology ring is of dimension 4 and depth 2.
  • The depth exceeds the Duflot bound, which is 1.
  • The Poincaré series is
    1  −  t  +  t2  −  t3  +  t4  +  t6  −  t7  +  t8  +  t11  +  t12  −  t14  +  t15  −  t16  +  t17

    (1  +  t) · ( − 1  +  t)4 · (1  +  t2)2 · (1  +  t  +  t2)2 · (1  −  t2  +  t4) · (1  +  t4)
  • The a-invariants are -∞,-∞,-9,-8,-4. They were obtained using the filter regular HSOP of the Hilbert-Poincaré test.
  • 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

Ring generators

The cohomology ring has 21 minimal generators of maximal degree 18:

  1. b_2_0, an element of degree 2
  2. b_3_1, an element of degree 3
  3. b_3_0, an element of degree 3
  4. a_5_2, a nilpotent element of degree 5
  5. b_6_2, an element of degree 6
  6. a_7_2, a nilpotent element of degree 7
  7. c_8_2, a Duflot element of degree 8
  8. b_8_1, an element of degree 8
  9. b_8_0, an element of degree 8
  10. b_9_1, an element of degree 9
  11. b_9_0, an element of degree 9
  12. a_11_12, a nilpotent element of degree 11
  13. b_12_8, an element of degree 12
  14. b_12_7, an element of degree 12
  15. b_12_6, an element of degree 12
  16. b_13_1, an element of degree 13
  17. b_13_0, an element of degree 13
  18. b_14_13, an element of degree 14
  19. b_15_9, an element of degree 15
  20. b_15_8, an element of degree 15
  21. b_18_13, an element of degree 18

About the group Ring generators Ring relations Completion information Restriction maps

Ring relations

There are 158 minimal relations of maximal degree 36:

  1. b_3_12 + b_3_0·b_3_1 + b_3_02 + b_2_03
  2. b_2_0·a_5_2
  3. b_3_0·a_5_2
  4. b_3_1·a_5_2
  5. b_2_0·a_7_2
  6. a_5_22
  7. b_3_0·a_7_2
  8. b_3_1·a_7_2
  9. b_6_2·a_5_2
  10. b_8_1·b_3_0 + b_8_0·b_3_1 + b_8_0·b_3_0 + b_2_0·b_9_0 + b_2_0·b_3_02·b_3_1
       + b_2_0·b_6_2·b_3_1 + b_2_04·b_3_0
  11. b_8_1·b_3_1 + b_8_0·b_3_0 + b_2_0·b_9_1 + b_2_0·b_3_03 + b_2_0·b_6_2·b_3_1
  12. a_5_2·a_7_2
  13. b_3_0·b_9_0 + b_3_03·b_3_1 + b_3_04 + b_6_22 + b_2_03·b_3_02 + b_2_02·c_8_2
  14. b_3_1·b_9_0 + b_3_0·b_9_1 + b_3_03·b_3_1 + b_6_2·b_3_02 + b_2_02·b_8_0
       + b_2_03·b_3_0·b_3_1 + b_2_03·b_3_02 + b_2_03·b_6_2
  15. b_3_1·b_9_1 + b_3_0·b_9_1 + b_3_03·b_3_1 + b_6_2·b_3_0·b_3_1 + b_6_2·b_3_02 + b_6_22
       + b_2_02·b_8_1 + b_2_03·b_6_2 + b_2_02·c_8_2
  16. b_2_0·a_11_12
  17. b_6_2·a_7_2
  18. b_8_0·a_5_2
  19. b_8_1·a_5_2
  20. a_7_22
  21. b_3_0·a_11_12
  22. b_3_1·a_11_12
  23. a_5_2·b_9_0
  24. a_5_2·b_9_1
  25. b_6_2·b_8_0 + b_2_0·b_3_0·b_9_1 + b_2_0·b_12_7 + b_2_0·b_12_6 + b_2_0·b_6_2·b_3_02
       + b_2_03·b_8_1 + b_2_04·b_6_2 + c_8_2·b_3_02
  26. b_6_2·b_8_1 + b_2_0·b_3_04 + b_2_0·b_12_6 + b_2_0·b_6_2·b_3_02 + b_2_0·b_6_22
       + c_8_2·b_3_0·b_3_1 + c_8_2·b_3_02
  27. b_8_0·a_7_2
  28. b_8_1·a_7_2
  29. b_12_7·b_3_0 + b_12_6·b_3_1 + b_2_0·b_13_1 + b_2_02·b_8_0·b_3_0 + b_2_03·b_3_03
       + b_2_02·c_8_2·b_3_0
  30. b_12_7·b_3_1 + b_12_6·b_3_1 + b_12_6·b_3_0 + b_2_0·b_13_1 + b_2_0·b_13_0
       + b_2_02·b_8_0·b_3_0 + b_2_03·b_9_1 + b_2_03·b_9_0 + b_2_03·b_3_03
       + b_2_03·b_6_2·b_3_1 + b_2_06·b_3_0 + b_2_02·c_8_2·b_3_1 + b_2_02·c_8_2·b_3_0
  31. b_3_05 + b_12_6·b_3_0 + b_6_2·b_9_1 + b_6_2·b_3_02·b_3_1 + b_6_2·b_3_03
       + b_6_22·b_3_1 + b_2_0·b_13_1 + b_2_02·b_8_0·b_3_1 + b_2_02·b_8_0·b_3_0
       + b_2_03·b_9_0 + b_2_03·b_3_02·b_3_1 + b_2_03·b_3_03 + b_2_03·b_6_2·b_3_1
       + b_2_06·b_3_0 + b_2_02·c_8_2·b_3_1
  32. b_3_04·b_3_1 + b_12_6·b_3_1 + b_6_2·b_9_1 + b_6_2·b_9_0 + b_2_0·b_13_1 + b_2_0·b_13_0
       + b_2_02·b_8_0·b_3_1 + b_2_03·b_3_02·b_3_1 + b_2_03·b_6_2·b_3_0
       + b_2_02·c_8_2·b_3_0
  33. a_5_2·a_11_12
  34. a_7_2·b_9_0
  35. a_7_2·b_9_1
  36. b_8_12 + b_8_0·b_8_1 + b_8_02 + b_2_0·b_8_0·b_3_02 + b_2_02·b_12_6
       + b_2_0·c_8_2·b_3_0·b_3_1 + b_2_0·b_6_2·c_8_2
  37. b_3_0·b_13_0 + b_8_0·b_8_1 + b_8_02 + b_2_0·b_14_13 + b_2_04·b_8_1 + b_2_05·b_6_2
       + b_2_0·c_8_2·b_3_02 + b_2_0·b_6_2·c_8_2
  38. b_3_0·b_13_1 + b_8_0·b_8_1 + b_2_0·b_14_13 + b_2_0·b_8_0·b_3_0·b_3_1 + b_2_02·b_3_04
       + b_2_02·b_12_8 + b_2_02·b_6_2·b_3_0·b_3_1 + b_2_02·b_6_2·b_3_02
       + b_2_02·b_6_22 + b_2_04·b_8_0 + b_2_05·b_6_2 + b_2_0·c_8_2·b_3_02
       + b_2_0·b_6_2·c_8_2 + b_2_04·c_8_2
  39. b_3_1·b_13_0 + b_8_0·b_8_1 + b_2_0·b_14_13 + b_2_0·b_8_0·b_3_0·b_3_1
       + b_2_0·b_8_0·b_3_02 + b_2_02·b_12_8 + b_2_02·b_12_7 + b_2_02·b_6_2·b_3_0·b_3_1
       + b_2_04·b_8_1 + b_2_05·b_3_02 + b_2_0·c_8_2·b_3_0·b_3_1 + b_2_0·c_8_2·b_3_02
       + b_2_0·b_6_2·c_8_2 + b_2_04·c_8_2
  40. b_3_1·b_13_1 + b_8_02 + b_2_0·b_8_0·b_3_02 + b_2_02·b_3_0·b_9_1 + b_2_02·b_3_04
       + b_2_02·b_12_8 + b_2_02·b_12_6 + b_2_02·b_6_2·b_3_02 + b_2_04·b_8_1
       + b_2_04·b_8_0 + b_2_0·c_8_2·b_3_02
  41. b_6_2·a_11_12
  42. b_12_6·a_5_2
  43. b_12_7·a_5_2
  44. b_8_0·b_9_0 + b_8_0·b_3_02·b_3_1 + b_8_0·b_3_03 + b_2_0·b_15_8 + b_2_0·b_12_8·b_3_1
       + b_2_0·b_12_6·b_3_1 + b_2_0·b_12_6·b_3_0 + b_2_0·b_6_2·b_9_1 + b_2_0·b_6_22·b_3_0
       + b_2_02·b_13_1 + b_2_02·b_13_0 + b_2_03·b_8_0·b_3_1 + b_2_03·b_8_0·b_3_0
       + b_2_04·b_9_1 + b_2_04·b_9_0 + b_2_04·b_3_02·b_3_1 + b_2_04·b_6_2·b_3_1
       + b_2_07·b_3_0 + b_6_2·c_8_2·b_3_0 + b_2_03·c_8_2·b_3_1
  45. b_8_0·b_9_1 + b_8_0·b_3_02·b_3_1 + b_8_0·b_3_03 + b_2_0·b_15_9 + b_2_0·b_12_8·b_3_1
       + b_2_0·b_12_8·b_3_0 + b_2_0·b_12_6·b_3_0 + b_2_0·b_6_2·b_9_1
       + b_2_0·b_6_2·b_3_02·b_3_1 + b_2_0·b_6_22·b_3_0 + b_2_02·b_13_0
       + b_2_03·b_8_0·b_3_0 + b_2_04·b_3_02·b_3_1 + b_2_04·b_6_2·b_3_1
       + b_2_04·b_6_2·b_3_0 + c_8_2·b_3_03 + b_6_2·c_8_2·b_3_1 + b_2_03·c_8_2·b_3_0
  46. b_8_1·b_9_0 + b_8_0·b_3_02·b_3_1 + b_2_0·b_15_9 + b_2_0·b_12_8·b_3_1
       + b_2_0·b_12_8·b_3_0 + b_2_0·b_12_6·b_3_1 + b_2_03·b_8_0·b_3_1 + b_2_04·b_3_03
       + b_2_04·b_6_2·b_3_1 + b_6_2·c_8_2·b_3_1 + b_6_2·c_8_2·b_3_0
  47. b_8_1·b_9_1 + b_8_0·b_3_02·b_3_1 + b_2_0·b_15_9 + b_2_0·b_15_8 + b_2_0·b_12_8·b_3_0
       + b_2_0·b_12_6·b_3_0 + b_2_0·b_6_2·b_9_0 + b_2_0·b_6_2·b_3_03 + b_2_0·b_6_22·b_3_0
       + b_2_02·b_13_1 + b_2_02·b_13_0 + b_2_03·b_8_0·b_3_1 + b_2_04·b_9_1
       + b_2_04·b_3_03 + b_2_04·b_6_2·b_3_1 + c_8_2·b_3_02·b_3_1 + c_8_2·b_3_03
       + b_6_2·c_8_2·b_3_0 + b_2_03·c_8_2·b_3_0
  48. b_14_13·b_3_0 + b_2_0·b_15_8 + b_2_04·b_3_02·b_3_1 + b_2_04·b_6_2·b_3_1
  49. b_14_13·b_3_1 + b_2_0·b_15_9 + b_2_04·b_3_03 + b_2_04·b_6_2·b_3_0
       + b_2_03·c_8_2·b_3_1 + b_2_03·c_8_2·b_3_0
  50. a_7_2·a_11_12
  51. a_5_2·b_13_0
  52. a_5_2·b_13_1
  53. b_3_0·b_15_8 + b_12_8·b_3_0·b_3_1 + b_12_6·b_3_0·b_3_1 + b_12_6·b_3_02 + b_6_2·b_12_7
       + b_6_2·b_12_6 + b_2_0·b_8_02 + b_2_03·b_3_0·b_9_1 + b_2_03·b_3_04 + b_2_03·b_12_8
       + b_2_03·b_12_6 + b_2_05·b_8_1 + b_2_05·b_8_0 + b_2_0·b_8_0·c_8_2
       + b_2_02·c_8_2·b_3_02
  54. b_3_0·b_15_9 + b_12_8·b_3_0·b_3_1 + b_12_8·b_3_02 + b_12_6·b_3_02 + b_6_2·b_12_6
       + b_2_0·b_8_0·b_8_1 + b_2_0·b_8_02 + b_2_02·b_14_13 + b_2_02·b_8_0·b_3_02
       + b_2_03·b_3_03·b_3_1 + b_2_03·b_6_2·b_3_0·b_3_1 + b_2_03·b_6_2·b_3_02
       + b_2_05·b_8_1 + b_2_06·b_6_2 + b_2_0·b_8_1·c_8_2 + b_2_02·c_8_2·b_3_02
  55. b_3_1·b_15_8 + b_12_8·b_3_0·b_3_1 + b_12_8·b_3_02 + b_12_6·b_3_02 + b_6_2·b_12_6
       + b_2_0·b_8_0·b_8_1 + b_2_0·b_8_02 + b_2_02·b_14_13 + b_2_02·b_8_0·b_3_02
       + b_2_03·b_6_2·b_3_02 + b_2_05·b_8_1 + b_2_06·b_3_02 + b_2_0·b_8_1·c_8_2
       + b_2_02·c_8_2·b_3_0·b_3_1
  56. b_3_1·b_15_9 + b_12_8·b_3_02 + b_12_6·b_3_0·b_3_1 + b_6_2·b_12_7 + b_2_0·b_8_0·b_8_1
       + b_2_02·b_8_0·b_3_02 + b_2_03·b_3_0·b_9_1 + b_2_03·b_3_03·b_3_1 + b_2_03·b_12_8
       + b_2_03·b_12_6 + b_2_03·b_6_2·b_3_0·b_3_1 + b_2_05·b_8_0 + b_2_06·b_6_2
       + b_2_0·b_8_1·c_8_2 + b_2_0·b_8_0·c_8_2 + b_2_02·c_8_2·b_3_0·b_3_1 + b_2_05·c_8_2
  57. b_9_02 + b_12_6·b_3_0·b_3_1 + b_6_2·b_3_03·b_3_1 + b_6_2·b_3_04 + b_6_2·b_12_7
       + b_6_2·b_12_6 + b_6_22·b_3_02 + b_6_23 + b_2_0·b_8_02 + b_2_03·b_12_6
       + b_2_03·b_6_2·b_3_02 + b_2_03·b_6_22 + b_2_06·b_3_02 + b_2_0·b_8_0·c_8_2
       + b_2_02·c_8_2·b_3_0·b_3_1 + b_2_02·b_6_2·c_8_2
  58. b_9_0·b_9_1 + b_12_6·b_3_0·b_3_1 + b_6_2·b_3_03·b_3_1 + b_6_2·b_12_6
       + b_6_22·b_3_0·b_3_1 + b_6_22·b_3_02 + b_6_23 + b_2_0·b_8_02 + b_2_02·b_14_13
       + b_2_02·b_8_0·b_3_0·b_3_1 + b_2_02·b_8_0·b_3_02 + b_2_03·b_3_03·b_3_1
       + b_2_03·b_12_7 + b_2_0·b_8_1·c_8_2 + b_2_02·c_8_2·b_3_0·b_3_1
       + b_2_02·c_8_2·b_3_02 + b_2_02·b_6_2·c_8_2
  59. b_9_12 + b_12_6·b_3_0·b_3_1 + b_6_2·b_3_0·b_9_1 + b_6_2·b_3_04 + b_6_2·b_12_7
       + b_6_22·b_3_02 + b_2_0·b_8_02 + b_2_02·b_14_13 + b_2_03·b_12_8 + b_2_03·b_6_22
       + b_2_05·b_8_0 + b_2_06·b_6_2 + b_2_0·b_8_1·c_8_2 + b_2_0·b_8_0·c_8_2
       + b_2_02·c_8_2·b_3_0·b_3_1 + b_2_02·b_6_2·c_8_2
  60. b_8_0·a_11_12
  61. b_8_1·a_11_12
  62. b_12_6·a_7_2
  63. b_12_7·a_7_2
  64. b_14_13·a_5_2
  65. b_6_2·b_13_0 + b_2_02·b_15_8 + b_2_02·b_12_6·b_3_1 + b_2_02·b_6_2·b_9_0
       + b_2_02·b_6_2·b_3_02·b_3_1 + b_2_02·b_6_2·b_3_03 + b_2_02·b_6_22·b_3_0
       + b_2_03·b_13_1 + b_2_05·b_3_02·b_3_1 + b_2_05·b_3_03 + b_2_05·b_6_2·b_3_1
       + b_8_0·c_8_2·b_3_1 + b_2_0·c_8_2·b_9_1 + b_2_0·c_8_2·b_3_02·b_3_1
       + b_2_0·b_6_2·c_8_2·b_3_1 + b_2_04·c_8_2·b_3_1
  66. b_6_2·b_13_1 + b_2_02·b_15_8 + b_2_02·b_12_8·b_3_0 + b_2_02·b_12_6·b_3_0
       + b_2_02·b_6_2·b_9_1 + b_2_02·b_6_2·b_3_02·b_3_1 + b_2_02·b_6_22·b_3_1
       + b_2_03·b_13_1 + b_2_04·b_8_0·b_3_1 + b_2_05·b_9_0 + b_2_05·b_3_03
       + b_2_05·b_6_2·b_3_0 + b_2_08·b_3_0 + b_8_0·c_8_2·b_3_1 + b_8_0·c_8_2·b_3_0
       + b_2_0·c_8_2·b_9_1 + b_2_0·c_8_2·b_9_0 + b_2_0·c_8_2·b_3_02·b_3_1
       + b_2_0·c_8_2·b_3_03 + b_2_0·b_6_2·c_8_2·b_3_1 + b_2_04·c_8_2·b_3_1
       + b_2_04·c_8_2·b_3_0
  67. a_5_2·b_15_8
  68. a_5_2·b_15_9
  69. a_7_2·b_13_0
  70. a_7_2·b_13_1
  71. b_9_0·a_11_12
  72. b_9_1·a_11_12
  73. b_6_2·b_14_13 + b_2_0·b_18_13 + b_2_0·b_12_6·b_3_0·b_3_1 + b_2_0·b_6_2·b_12_6
       + b_2_02·b_8_0·b_8_1 + b_2_04·b_12_7 + b_2_04·b_6_22 + b_2_06·b_8_0 + b_2_07·b_6_2
       + b_2_02·b_8_0·c_8_2 + b_2_03·c_8_2·b_3_0·b_3_1 + b_2_03·b_6_2·c_8_2 + b_2_06·c_8_2
  74. b_8_0·b_3_04 + b_8_0·b_12_6 + b_2_0·b_18_13 + b_2_0·b_12_8·b_3_0·b_3_1
       + b_2_0·b_12_8·b_3_02 + b_2_0·b_6_2·b_3_0·b_9_1 + b_2_0·b_6_2·b_12_8
       + b_2_0·b_6_2·b_12_6 + b_2_0·b_6_22·b_3_02 + b_2_02·b_8_0·b_8_1 + b_2_02·b_8_02
       + b_2_03·b_8_0·b_3_02 + b_2_04·b_3_03·b_3_1 + b_2_04·b_12_8 + b_2_04·b_12_6
       + b_2_04·b_6_2·b_3_0·b_3_1 + b_2_04·b_6_2·b_3_02 + c_8_2·b_3_0·b_9_1
       + c_8_2·b_3_03·b_3_1 + c_8_2·b_3_04 + b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_03·c_8_2·b_3_02 + b_2_03·b_6_2·c_8_2 + b_2_06·c_8_2 + b_2_02·c_8_22
  75. b_8_0·b_3_03·b_3_1 + b_8_0·b_12_7 + b_2_0·b_18_13 + b_2_0·b_12_8·b_3_0·b_3_1
       + b_2_0·b_12_6·b_3_0·b_3_1 + b_2_0·b_12_6·b_3_02 + b_2_0·b_6_2·b_3_03·b_3_1
       + b_2_0·b_6_22·b_3_02 + b_2_0·b_6_23 + b_2_02·b_8_0·b_8_1 + b_2_02·b_8_02
       + b_2_03·b_14_13 + b_2_03·b_8_0·b_3_0·b_3_1 + b_2_04·b_3_03·b_3_1
       + b_2_04·b_3_04 + b_2_04·b_6_2·b_3_02 + b_2_06·b_8_0 + b_2_07·b_6_2
       + c_8_2·b_3_0·b_9_1 + c_8_2·b_3_03·b_3_1 + c_8_2·b_3_04 + b_6_22·c_8_2
       + b_2_02·b_8_1·c_8_2
  76. b_8_1·b_12_6 + b_8_0·b_12_7 + b_8_0·b_12_6 + b_2_0·b_18_13 + b_2_0·b_12_8·b_3_0·b_3_1
       + b_2_0·b_12_8·b_3_02 + b_2_0·b_12_6·b_3_02 + b_2_0·b_6_2·b_3_0·b_9_1
       + b_2_0·b_6_2·b_12_8 + b_2_0·b_6_2·b_12_7 + b_2_0·b_6_2·b_12_6 + b_2_03·b_8_0·b_3_02
       + b_2_04·b_3_0·b_9_1 + b_2_04·b_12_7 + b_2_04·b_12_6 + b_2_04·b_6_22
       + b_2_06·b_8_0 + b_2_07·b_6_2 + b_2_02·b_8_1·c_8_2 + b_2_03·c_8_2·b_3_0·b_3_1
       + b_2_03·c_8_2·b_3_02 + b_2_03·b_6_2·c_8_2
  77. b_8_1·b_12_7 + b_8_0·b_12_6 + b_2_0·b_18_13 + b_2_0·b_12_8·b_3_0·b_3_1
       + b_2_0·b_12_6·b_3_02 + b_2_0·b_6_2·b_3_03·b_3_1 + b_2_0·b_6_2·b_12_7
       + b_2_0·b_6_2·b_12_6 + b_2_0·b_6_22·b_3_0·b_3_1 + b_2_0·b_6_22·b_3_02
       + b_2_0·b_6_23 + b_2_02·b_8_0·b_8_1 + b_2_02·b_8_02 + b_2_03·b_14_13
       + b_2_03·b_8_0·b_3_0·b_3_1 + b_2_03·b_8_0·b_3_02 + b_2_04·b_3_0·b_9_1
       + b_2_04·b_12_8 + b_2_04·b_12_7 + b_2_04·b_6_2·b_3_0·b_3_1 + b_2_04·b_6_2·b_3_02
       + b_2_02·b_8_1·c_8_2 + b_2_02·b_8_0·c_8_2 + b_2_03·c_8_2·b_3_0·b_3_1 + b_2_06·c_8_2
  78. b_14_13·a_7_2
  79. b_8_1·b_13_0 + b_8_0·b_13_1 + b_8_0·b_13_0 + b_2_0·b_8_02·b_3_1 + b_2_0·b_8_02·b_3_0
       + b_2_02·b_8_0·b_3_02·b_3_1 + b_2_03·b_15_9 + b_2_03·b_15_8 + b_2_03·b_12_8·b_3_1
       + b_2_03·b_12_6·b_3_1 + b_2_03·b_6_2·b_9_1 + b_2_03·b_6_2·b_9_0
       + b_2_03·b_6_2·b_3_03 + b_2_03·b_6_22·b_3_1 + b_2_04·b_13_1 + b_2_04·b_13_0
       + b_2_05·b_8_0·b_3_1 + b_2_06·b_9_0 + b_2_06·b_3_02·b_3_1 + b_2_06·b_3_03
       + b_2_06·b_6_2·b_3_1 + b_2_09·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_0 + b_2_02·c_8_2·b_9_1
       + b_2_02·c_8_2·b_9_0 + b_2_02·b_6_2·c_8_2·b_3_0 + b_2_0·c_8_22·b_3_1
  80. b_8_1·b_13_1 + b_8_0·b_13_0 + b_2_02·b_8_0·b_3_03 + b_2_03·b_15_8
       + b_2_03·b_12_8·b_3_1 + b_2_03·b_12_8·b_3_0 + b_2_03·b_6_2·b_9_0
       + b_2_03·b_6_2·b_3_03 + b_2_03·b_6_22·b_3_1 + b_2_04·b_13_1 + b_2_04·b_13_0
       + b_2_06·b_9_1 + b_2_06·b_6_2·b_3_0 + b_2_02·c_8_2·b_3_03
       + b_2_02·b_6_2·c_8_2·b_3_1 + b_2_05·c_8_2·b_3_1 + b_2_05·c_8_2·b_3_0
       + b_2_0·c_8_22·b_3_1 + b_2_0·c_8_22·b_3_0
  81. b_12_6·b_9_0 + b_12_6·b_3_02·b_3_1 + b_12_6·b_3_03 + b_6_2·b_15_9
       + b_6_2·b_12_8·b_3_1 + b_6_2·b_12_8·b_3_0 + b_6_2·b_12_6·b_3_0 + b_2_03·b_15_8
       + b_2_03·b_12_6·b_3_1 + b_2_03·b_12_6·b_3_0 + b_2_03·b_6_2·b_3_02·b_3_1
       + b_2_03·b_6_22·b_3_1 + b_2_04·b_13_0 + b_2_05·b_8_0·b_3_1 + b_2_06·b_3_03
       + b_2_06·b_6_2·b_3_1 + b_2_06·b_6_2·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_1
       + b_2_02·c_8_2·b_9_1 + b_2_02·c_8_2·b_3_02·b_3_1 + b_2_02·b_6_2·c_8_2·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_0 + b_2_05·c_8_2·b_3_1 + b_2_0·c_8_22·b_3_1
       + b_2_0·c_8_22·b_3_0
  82. b_12_6·b_9_1 + b_12_6·b_3_02·b_3_1 + b_12_6·b_3_03 + b_6_2·b_15_9 + b_6_2·b_15_8
       + b_6_2·b_12_8·b_3_0 + b_6_2·b_12_6·b_3_1 + b_6_2·b_12_6·b_3_0 + b_2_02·b_8_0·b_3_03
       + b_2_03·b_6_2·b_9_1 + b_2_03·b_6_2·b_3_02·b_3_1 + b_2_03·b_6_22·b_3_1
       + b_2_03·b_6_22·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_1 + b_2_0·b_8_0·c_8_2·b_3_0
       + b_2_02·c_8_2·b_9_0 + b_2_02·c_8_2·b_3_03 + b_2_02·b_6_2·c_8_2·b_3_1
       + b_2_05·c_8_2·b_3_0 + b_2_0·c_8_22·b_3_0
  83. b_12_7·b_9_0 + b_12_6·b_3_03 + b_6_2·b_15_9 + b_6_2·b_15_8 + b_6_2·b_12_8·b_3_0
       + b_6_2·b_12_6·b_3_1 + b_2_0·b_8_02·b_3_1 + b_2_02·b_8_0·b_3_03 + b_2_03·b_15_9
       + b_2_03·b_15_8 + b_2_03·b_12_6·b_3_0 + b_2_03·b_6_2·b_9_1
       + b_2_03·b_6_2·b_3_02·b_3_1 + b_2_03·b_6_2·b_3_03 + b_2_04·b_13_0 + b_2_06·b_9_1
       + b_2_06·b_9_0 + b_2_06·b_3_02·b_3_1 + b_2_09·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_1
       + b_2_0·b_8_0·c_8_2·b_3_0 + b_2_02·c_8_2·b_9_0 + b_2_02·b_6_2·c_8_2·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_0 + b_2_05·c_8_2·b_3_1 + b_2_05·c_8_2·b_3_0
       + b_2_0·c_8_22·b_3_1
  84. b_12_7·b_9_1 + b_12_6·b_3_03 + b_6_2·b_15_8 + b_6_2·b_12_8·b_3_1 + b_6_2·b_12_6·b_3_0
       + b_2_0·b_8_02·b_3_1 + b_2_02·b_8_0·b_3_02·b_3_1 + b_2_02·b_8_0·b_3_03
       + b_2_03·b_15_9 + b_2_03·b_15_8 + b_2_03·b_12_8·b_3_1 + b_2_03·b_12_8·b_3_0
       + b_2_03·b_12_6·b_3_0 + b_2_03·b_6_2·b_9_0 + b_2_03·b_6_2·b_3_02·b_3_1
       + b_2_03·b_6_22·b_3_0 + b_2_05·b_8_0·b_3_1 + b_2_05·b_8_0·b_3_0
       + b_2_06·b_3_02·b_3_1 + b_2_06·b_3_03 + b_2_06·b_6_2·b_3_0
       + b_2_0·b_8_0·c_8_2·b_3_1 + b_2_02·c_8_2·b_9_1 + b_2_02·c_8_2·b_3_02·b_3_1
       + b_2_02·c_8_2·b_3_03 + b_2_02·b_6_2·c_8_2·b_3_1 + b_2_05·c_8_2·b_3_1
       + b_2_05·c_8_2·b_3_0 + b_2_0·c_8_22·b_3_1 + b_2_0·c_8_22·b_3_0
  85. b_12_8·b_3_03 + b_12_6·b_3_02·b_3_1 + b_12_6·b_3_03 + b_8_0·b_13_1 + b_8_0·b_13_0
       + b_6_2·b_15_8 + b_6_2·b_12_8·b_3_1 + b_6_2·b_12_8·b_3_0 + b_6_2·b_12_6·b_3_1
       + b_6_2·b_12_6·b_3_0 + b_6_22·b_9_1 + b_6_22·b_3_03 + b_6_23·b_3_0
       + b_2_03·b_12_8·b_3_1 + b_2_03·b_12_8·b_3_0 + b_2_03·b_12_6·b_3_1
       + b_2_03·b_12_6·b_3_0 + b_2_03·b_6_2·b_3_03 + b_2_03·b_6_22·b_3_0
       + b_2_04·b_13_1 + b_2_04·b_13_0 + b_2_05·b_8_0·b_3_1 + b_2_05·b_8_0·b_3_0
       + b_2_06·b_9_1 + b_2_06·b_9_0 + b_2_06·b_6_2·b_3_0 + b_2_09·b_3_0
       + b_2_0·b_8_0·c_8_2·b_3_0 + b_2_02·c_8_2·b_9_0 + b_2_02·b_6_2·c_8_2·b_3_1
       + b_2_05·c_8_2·b_3_1 + b_2_0·c_8_22·b_3_0
  86. b_12_8·b_3_02·b_3_1 + b_12_6·b_3_03 + b_8_0·b_13_0 + b_6_2·b_15_9
       + b_6_2·b_12_8·b_3_0 + b_6_2·b_12_6·b_3_0 + b_6_22·b_9_1 + b_6_22·b_9_0
       + b_6_22·b_3_02·b_3_1 + b_6_22·b_3_03 + b_6_23·b_3_0 + b_2_0·b_8_02·b_3_1
       + b_2_02·b_8_0·b_3_03 + b_2_03·b_12_6·b_3_1 + b_2_03·b_12_6·b_3_0
       + b_2_03·b_6_2·b_9_1 + b_2_03·b_6_2·b_3_02·b_3_1 + b_2_04·b_13_1
       + b_2_05·b_8_0·b_3_1 + b_2_06·b_9_0 + b_2_06·b_3_02·b_3_1 + b_2_06·b_3_03
       + b_2_06·b_6_2·b_3_1 + b_2_06·b_6_2·b_3_0 + b_2_09·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_0
       + b_2_02·c_8_2·b_9_1 + b_2_02·c_8_2·b_9_0 + b_2_02·c_8_2·b_3_02·b_3_1
       + b_2_02·c_8_2·b_3_03 + b_2_02·b_6_2·c_8_2·b_3_1 + b_2_0·c_8_22·b_3_1
  87. b_18_13·b_3_0 + b_12_6·b_3_02·b_3_1 + b_6_2·b_15_8 + b_6_2·b_12_6·b_3_0
       + b_2_0·b_8_02·b_3_1 + b_2_0·b_8_02·b_3_0 + b_2_02·b_8_0·b_3_03 + b_2_03·b_15_8
       + b_2_03·b_12_8·b_3_1 + b_2_03·b_12_6·b_3_0 + b_2_03·b_6_2·b_3_03
       + b_2_03·b_6_22·b_3_1 + b_2_03·b_6_22·b_3_0 + b_2_05·b_8_0·b_3_1
       + b_2_05·b_8_0·b_3_0 + b_2_06·b_9_1 + b_2_06·b_3_02·b_3_1 + b_2_06·b_6_2·b_3_0
       + b_2_0·b_8_0·c_8_2·b_3_0
  88. b_18_13·b_3_1 + b_12_6·b_3_02·b_3_1 + b_12_6·b_3_03 + b_6_2·b_15_9
       + b_6_2·b_12_6·b_3_1 + b_2_0·b_8_02·b_3_0 + b_2_02·b_8_0·b_3_02·b_3_1
       + b_2_03·b_15_9 + b_2_03·b_12_8·b_3_1 + b_2_03·b_12_8·b_3_0 + b_2_03·b_12_6·b_3_1
       + b_2_03·b_12_6·b_3_0 + b_2_03·b_6_22·b_3_1 + b_2_03·b_6_22·b_3_0 + b_2_04·b_13_1
       + b_2_04·b_13_0 + b_2_05·b_8_0·b_3_1 + b_2_05·b_8_0·b_3_0 + b_2_06·b_9_1
       + b_2_06·b_3_02·b_3_1 + b_2_06·b_6_2·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_1 + b_2_02·b_6_2·c_8_2·b_3_0 + b_2_05·c_8_2·b_3_1
       + b_2_05·c_8_2·b_3_0
  89. a_11_122
  90. a_7_2·b_15_8
  91. a_7_2·b_15_9
  92. b_8_0·b_14_13 + b_2_0·b_8_1·b_12_8 + b_2_0·b_8_0·b_12_8 + b_2_0·b_8_0·b_12_7
       + b_2_0·b_8_0·b_12_6 + b_2_02·b_12_8·b_3_0·b_3_1 + b_2_02·b_12_8·b_3_02
       + b_2_02·b_12_6·b_3_02 + b_2_02·b_6_2·b_3_0·b_9_1 + b_2_02·b_6_2·b_3_03·b_3_1
       + b_2_02·b_6_2·b_3_04 + b_2_02·b_6_2·b_12_8 + b_2_02·b_6_2·b_12_7
       + b_2_02·b_6_2·b_12_6 + b_2_02·b_6_22·b_3_0·b_3_1 + b_2_02·b_6_22·b_3_02
       + b_2_03·b_8_0·b_8_1 + b_2_03·b_8_02 + b_2_04·b_8_0·b_3_02
       + b_2_05·b_3_03·b_3_1 + b_2_05·b_12_8 + b_2_05·b_12_7 + b_2_05·b_6_2·b_3_0·b_3_1
       + b_2_05·b_6_22 + b_2_07·b_8_0 + b_2_08·b_6_2 + b_2_0·c_8_2·b_12_7
       + b_2_0·c_8_2·b_12_6 + b_2_03·b_8_1·c_8_2 + b_2_03·b_8_0·c_8_2
       + b_2_04·c_8_2·b_3_0·b_3_1
  93. b_8_1·b_14_13 + b_2_0·b_8_0·b_12_8 + b_2_0·b_8_0·b_12_7 + b_2_02·b_12_8·b_3_0·b_3_1
       + b_2_02·b_12_6·b_3_0·b_3_1 + b_2_02·b_12_6·b_3_02 + b_2_02·b_6_2·b_3_03·b_3_1
       + b_2_02·b_6_2·b_3_04 + b_2_02·b_6_2·b_12_8 + b_2_02·b_6_22·b_3_0·b_3_1
       + b_2_02·b_6_23 + b_2_03·b_8_02 + b_2_04·b_14_13 + b_2_04·b_8_0·b_3_0·b_3_1
       + b_2_05·b_3_0·b_9_1 + b_2_05·b_3_03·b_3_1 + b_2_05·b_12_6 + b_2_05·b_6_22
       + b_2_07·b_8_1 + b_2_08·b_6_2 + b_2_0·c_8_2·b_12_7 + b_2_03·b_8_1·c_8_2
       + b_2_04·c_8_2·b_3_02 + b_2_07·c_8_2 + b_2_03·c_8_22
  94. b_9_0·b_13_0 + b_8_02·b_3_02 + b_2_0·b_8_0·b_12_7 + b_2_0·b_8_0·b_12_6
       + b_2_02·b_18_13 + b_2_02·b_12_6·b_3_0·b_3_1 + b_2_02·b_12_6·b_3_02
       + b_2_02·b_6_2·b_12_8 + b_2_02·b_6_2·b_12_6 + b_2_02·b_6_22·b_3_02
       + b_2_03·b_8_0·b_8_1 + b_2_03·b_8_02 + b_2_04·b_14_13 + b_2_05·b_3_0·b_9_1
       + b_2_05·b_3_03·b_3_1 + b_2_05·b_12_8 + b_2_05·b_12_6 + b_2_05·b_6_2·b_3_0·b_3_1
       + b_2_05·b_6_2·b_3_02 + b_2_05·b_6_22 + b_2_07·b_8_1 + b_2_08·b_6_2
       + b_2_0·c_8_2·b_3_0·b_9_1 + b_2_0·c_8_2·b_3_04 + b_2_0·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_03·b_8_1·c_8_2 + b_2_04·c_8_2·b_3_0·b_3_1 + b_2_04·c_8_2·b_3_02
       + c_8_22·b_3_0·b_3_1 + b_2_03·c_8_22
  95. b_9_0·b_13_1 + b_8_02·b_3_0·b_3_1 + b_2_0·b_8_0·b_12_7 + b_2_02·b_6_2·b_3_03·b_3_1
       + b_2_02·b_6_2·b_3_04 + b_2_02·b_6_2·b_12_8 + b_2_02·b_6_2·b_12_6
       + b_2_02·b_6_22·b_3_02 + b_2_03·b_8_0·b_8_1 + b_2_04·b_8_0·b_3_0·b_3_1
       + b_2_05·b_3_04 + b_2_05·b_12_6 + b_2_05·b_6_2·b_3_0·b_3_1
       + b_2_0·c_8_2·b_3_03·b_3_1 + b_2_0·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_04·c_8_2·b_3_0·b_3_1 + b_2_04·c_8_2·b_3_02 + b_2_07·c_8_2
       + c_8_22·b_3_0·b_3_1 + c_8_22·b_3_02
  96. b_9_1·b_13_0 + b_8_02·b_3_02 + b_2_0·b_8_0·b_12_7 + b_2_0·b_8_0·b_12_6
       + b_2_02·b_12_6·b_3_02 + b_2_02·b_6_2·b_3_0·b_9_1 + b_2_02·b_6_2·b_3_03·b_3_1
       + b_2_02·b_6_2·b_3_04 + b_2_02·b_6_2·b_12_7 + b_2_02·b_6_2·b_12_6
       + b_2_02·b_6_22·b_3_0·b_3_1 + b_2_03·b_8_0·b_8_1 + b_2_04·b_14_13
       + b_2_04·b_8_0·b_3_0·b_3_1 + b_2_05·b_3_04 + b_2_05·b_12_8 + b_2_05·b_12_6
       + b_2_05·b_6_2·b_3_0·b_3_1 + b_2_05·b_6_2·b_3_02 + b_2_05·b_6_22 + b_2_07·b_8_0
       + b_2_08·b_6_2 + b_8_0·c_8_2·b_3_0·b_3_1 + b_2_0·c_8_2·b_3_0·b_9_1
       + b_2_0·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_04·c_8_2·b_3_02 + b_2_07·c_8_2
       + c_8_22·b_3_0·b_3_1 + c_8_22·b_3_02 + b_2_03·c_8_22
  97. b_9_1·b_13_1 + b_8_02·b_3_0·b_3_1 + b_2_0·b_8_0·b_12_7 + b_2_02·b_6_2·b_3_03·b_3_1
       + b_2_02·b_6_2·b_12_7 + b_2_02·b_6_2·b_12_6 + b_2_04·b_14_13 + b_2_05·b_3_0·b_9_1
       + b_2_05·b_12_8 + b_2_05·b_12_7 + b_2_07·b_8_1 + b_2_07·b_8_0
       + b_8_0·c_8_2·b_3_0·b_3_1 + b_8_0·c_8_2·b_3_02 + b_2_0·c_8_2·b_3_04
       + b_2_0·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_0·b_6_2·c_8_2·b_3_02 + b_2_0·b_6_22·c_8_2
       + b_2_03·b_8_1·c_8_2 + b_2_04·c_8_2·b_3_0·b_3_1 + b_2_04·b_6_2·c_8_2
       + c_8_22·b_3_02
  98. b_12_6·a_11_12
  99. b_12_7·a_11_12
  100. b_18_13·a_5_2
  101. b_8_0·b_15_8 + b_8_0·b_12_8·b_3_1 + b_8_0·b_12_6·b_3_1 + b_8_0·b_12_6·b_3_0
       + b_2_0·b_12_8·b_9_0 + b_2_0·b_12_6·b_3_02·b_3_1 + b_2_0·b_8_0·b_13_0
       + b_2_0·b_6_2·b_15_8 + b_2_0·b_6_22·b_9_1 + b_2_0·b_6_22·b_3_02·b_3_1
       + b_2_0·b_6_22·b_3_03 + b_2_0·b_6_23·b_3_1 + b_2_0·b_6_23·b_3_0
       + b_2_02·b_8_02·b_3_1 + b_2_02·b_8_02·b_3_0 + b_2_03·b_8_0·b_3_02·b_3_1
       + b_2_03·b_8_0·b_3_03 + b_2_04·b_12_6·b_3_0 + b_2_04·b_6_2·b_9_1
       + b_2_04·b_6_2·b_9_0 + b_2_04·b_6_22·b_3_1 + b_2_05·b_13_1 + b_2_05·b_13_0
       + b_2_06·b_8_0·b_3_0 + b_2_07·b_9_0 + b_2_07·b_6_2·b_3_1 + b_2_010·b_3_0
       + c_8_2·b_12_6·b_3_1 + c_8_2·b_12_6·b_3_0 + b_2_0·c_8_2·b_13_1 + b_2_03·c_8_2·b_9_1
       + b_2_03·c_8_2·b_9_0 + b_2_03·c_8_2·b_3_02·b_3_1 + b_2_06·c_8_2·b_3_1
  102. b_8_0·b_15_9 + b_8_0·b_12_8·b_3_1 + b_8_0·b_12_8·b_3_0 + b_8_0·b_12_6·b_3_0
       + b_2_0·b_12_8·b_9_1 + b_2_0·b_12_6·b_3_02·b_3_1 + b_2_0·b_8_0·b_13_1
       + b_2_0·b_8_0·b_13_0 + b_2_0·b_6_2·b_12_6·b_3_0 + b_2_0·b_6_22·b_3_02·b_3_1
       + b_2_0·b_6_22·b_3_03 + b_2_0·b_6_23·b_3_1 + b_2_0·b_6_23·b_3_0
       + b_2_02·b_8_02·b_3_1 + b_2_04·b_15_8 + b_2_04·b_6_22·b_3_1 + b_2_06·b_8_0·b_3_1
       + b_2_06·b_8_0·b_3_0 + b_2_07·b_9_0 + b_2_07·b_6_2·b_3_0 + b_2_010·b_3_0
       + c_8_2·b_12_6·b_3_0 + b_2_0·c_8_2·b_13_1 + b_2_0·c_8_2·b_13_0
       + b_2_02·b_8_0·c_8_2·b_3_1 + b_2_02·b_8_0·c_8_2·b_3_0 + b_2_03·b_6_2·c_8_2·b_3_0
       + b_2_06·c_8_2·b_3_0 + b_2_02·c_8_22·b_3_1 + b_2_02·c_8_22·b_3_0
  103. b_8_1·b_15_8 + b_8_0·b_12_8·b_3_0 + b_8_0·b_12_6·b_3_1 + b_2_0·b_12_6·b_3_02·b_3_1
       + b_2_0·b_8_0·b_13_1 + b_2_0·b_8_0·b_13_0 + b_2_0·b_6_2·b_15_9
       + b_2_0·b_6_2·b_12_6·b_3_1 + b_2_0·b_6_22·b_9_1 + b_2_0·b_6_22·b_3_02·b_3_1
       + b_2_0·b_6_23·b_3_1 + b_2_02·b_8_02·b_3_1 + b_2_03·b_8_0·b_3_02·b_3_1
       + b_2_03·b_8_0·b_3_03 + b_2_04·b_12_6·b_3_1 + b_2_04·b_12_6·b_3_0
       + b_2_04·b_6_2·b_9_0 + b_2_04·b_6_22·b_3_1 + b_2_04·b_6_22·b_3_0 + b_2_05·b_13_0
       + b_2_07·b_9_0 + b_2_07·b_3_03 + b_2_07·b_6_2·b_3_1 + b_2_010·b_3_0
       + c_8_2·b_12_6·b_3_1 + b_2_0·c_8_2·b_13_1 + b_2_03·c_8_2·b_3_02·b_3_1
       + b_2_03·c_8_2·b_3_03 + b_2_03·b_6_2·c_8_2·b_3_0 + b_2_06·c_8_2·b_3_0
       + b_2_02·c_8_22·b_3_1
  104. b_8_1·b_15_9 + b_8_0·b_12_8·b_3_1 + b_8_0·b_12_6·b_3_1 + b_8_0·b_12_6·b_3_0
       + b_2_0·b_12_6·b_3_02·b_3_1 + b_2_0·b_12_6·b_3_03 + b_2_0·b_8_0·b_13_0
       + b_2_0·b_6_2·b_15_9 + b_2_0·b_6_2·b_15_8 + b_2_0·b_6_2·b_12_6·b_3_1
       + b_2_0·b_6_2·b_12_6·b_3_0 + b_2_0·b_6_22·b_9_1 + b_2_0·b_6_22·b_9_0
       + b_2_0·b_6_22·b_3_02·b_3_1 + b_2_02·b_8_02·b_3_0 + b_2_04·b_12_8·b_3_1
       + b_2_04·b_12_6·b_3_1 + b_2_04·b_12_6·b_3_0 + b_2_04·b_6_2·b_9_1
       + b_2_04·b_6_2·b_9_0 + b_2_04·b_6_2·b_3_02·b_3_1 + b_2_04·b_6_2·b_3_03
       + b_2_04·b_6_22·b_3_0 + b_2_05·b_13_0 + b_2_06·b_8_0·b_3_1 + b_2_07·b_9_1
       + b_2_07·b_9_0 + b_2_07·b_3_03 + b_2_010·b_3_0 + c_8_2·b_12_6·b_3_1
       + c_8_2·b_12_6·b_3_0 + b_2_0·c_8_2·b_13_1 + b_2_0·c_8_2·b_13_0
       + b_2_02·b_8_0·c_8_2·b_3_1 + b_2_03·c_8_2·b_9_1 + b_2_03·c_8_2·b_9_0
       + b_2_03·c_8_2·b_3_02·b_3_1 + b_2_03·b_6_2·c_8_2·b_3_1 + b_2_03·b_6_2·c_8_2·b_3_0
       + b_2_02·c_8_22·b_3_1
  105. b_14_13·b_9_0 + b_2_0·b_12_8·b_9_1 + b_2_0·b_12_8·b_9_0 + b_2_0·b_12_6·b_3_03
       + b_2_0·b_8_0·b_13_1 + b_2_0·b_8_0·b_13_0 + b_2_0·b_6_2·b_15_9
       + b_2_0·b_6_2·b_12_8·b_3_1 + b_2_0·b_6_22·b_9_0 + b_2_0·b_6_23·b_3_1
       + b_2_02·b_8_02·b_3_1 + b_2_02·b_8_02·b_3_0 + b_2_03·b_8_0·b_3_02·b_3_1
       + b_2_03·b_8_0·b_3_03 + b_2_04·b_12_8·b_3_0 + b_2_04·b_6_2·b_9_1
       + b_2_04·b_6_2·b_3_03 + b_2_05·b_13_1 + b_2_07·b_3_03 + b_2_07·b_6_2·b_3_0
       + b_2_0·c_8_2·b_13_1 + b_2_0·c_8_2·b_13_0 + b_2_02·b_8_0·c_8_2·b_3_1
       + b_2_02·b_8_0·c_8_2·b_3_0 + b_2_03·c_8_2·b_3_02·b_3_1 + b_2_06·c_8_2·b_3_1
       + b_2_06·c_8_2·b_3_0 + b_2_02·c_8_22·b_3_1
  106. b_14_13·b_9_1 + b_2_0·b_12_8·b_9_0 + b_2_0·b_12_6·b_3_02·b_3_1
       + b_2_0·b_12_6·b_3_03 + b_2_0·b_8_0·b_13_0 + b_2_0·b_6_2·b_15_9
       + b_2_0·b_6_2·b_12_8·b_3_0 + b_2_0·b_6_2·b_12_6·b_3_0 + b_2_0·b_6_22·b_9_1
       + b_2_0·b_6_22·b_3_02·b_3_1 + b_2_0·b_6_23·b_3_1 + b_2_02·b_8_02·b_3_0
       + b_2_03·b_8_0·b_3_02·b_3_1 + b_2_03·b_8_0·b_3_03 + b_2_04·b_15_8
       + b_2_04·b_12_8·b_3_1 + b_2_04·b_6_2·b_9_1 + b_2_04·b_6_2·b_9_0
       + b_2_04·b_6_2·b_3_02·b_3_1 + b_2_04·b_6_2·b_3_03 + b_2_04·b_6_22·b_3_1
       + b_2_04·b_6_22·b_3_0 + b_2_06·b_8_0·b_3_1 + b_2_06·b_8_0·b_3_0 + b_2_07·b_9_1
       + b_2_07·b_3_02·b_3_1 + b_2_0·c_8_2·b_13_0 + b_2_02·b_8_0·c_8_2·b_3_1
       + b_2_02·b_8_0·c_8_2·b_3_0 + b_2_03·c_8_2·b_9_1 + b_2_03·c_8_2·b_9_0
       + b_2_03·c_8_2·b_3_02·b_3_1 + b_2_03·b_6_2·c_8_2·b_3_0 + b_2_06·c_8_2·b_3_0
  107. a_11_12·b_13_0
  108. a_11_12·b_13_1
  109. b_12_6·b_3_04 + b_12_62 + b_6_2·b_18_13 + b_6_2·b_12_8·b_3_0·b_3_1
       + b_6_2·b_12_6·b_3_0·b_3_1 + b_6_2·b_12_6·b_3_02 + b_6_22·b_3_03·b_3_1
       + b_6_22·b_12_7 + b_6_22·b_12_6 + b_6_23·b_3_0·b_3_1 + b_6_23·b_3_02 + b_6_24
       + b_2_0·b_8_02·b_3_0·b_3_1 + b_2_0·b_8_02·b_3_02 + b_2_03·b_18_13
       + b_2_03·b_12_8·b_3_0·b_3_1 + b_2_03·b_12_8·b_3_02 + b_2_03·b_6_2·b_3_0·b_9_1
       + b_2_03·b_6_2·b_3_03·b_3_1 + b_2_03·b_6_2·b_3_04 + b_2_03·b_6_2·b_12_8
       + b_2_03·b_6_2·b_12_7 + b_2_03·b_6_2·b_12_6 + b_2_05·b_14_13 + b_2_06·b_3_0·b_9_1
       + b_2_06·b_12_8 + b_2_06·b_12_7 + b_8_0·b_8_1·c_8_2 + b_8_02·c_8_2
       + b_2_0·c_8_2·b_14_13 + b_2_0·b_8_0·c_8_2·b_3_02 + b_2_02·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_02 + b_2_02·b_6_22·c_8_2 + b_2_04·b_8_1·c_8_2
       + b_2_04·b_8_0·c_8_2 + b_2_05·c_8_2·b_3_0·b_3_1 + b_2_05·c_8_2·b_3_02
       + b_2_05·b_6_2·c_8_2 + b_2_0·c_8_22·b_3_0·b_3_1 + b_2_0·b_6_2·c_8_22
       + b_2_04·c_8_22
  110. b_12_6·b_3_03·b_3_1 + b_12_6·b_12_7 + b_6_2·b_12_8·b_3_02
       + b_6_2·b_12_6·b_3_0·b_3_1 + b_6_2·b_12_6·b_3_02 + b_6_22·b_3_0·b_9_1
       + b_6_22·b_3_03·b_3_1 + b_6_22·b_12_8 + b_6_23·b_3_0·b_3_1 + b_6_23·b_3_02
       + b_6_24 + b_2_0·b_8_02·b_3_0·b_3_1 + b_2_02·b_8_0·b_12_7
       + b_2_03·b_12_8·b_3_0·b_3_1 + b_2_03·b_12_8·b_3_02 + b_2_03·b_12_6·b_3_0·b_3_1
       + b_2_03·b_12_6·b_3_02 + b_2_03·b_6_2·b_3_0·b_9_1 + b_2_03·b_6_2·b_3_03·b_3_1
       + b_2_03·b_6_2·b_3_04 + b_2_03·b_6_2·b_12_6 + b_2_03·b_6_23 + b_2_04·b_8_02
       + b_2_05·b_14_13 + b_2_06·b_3_03·b_3_1 + b_2_06·b_3_04 + b_2_06·b_12_7
       + b_2_06·b_12_6 + b_2_06·b_6_2·b_3_0·b_3_1 + b_8_02·c_8_2
       + b_2_0·b_8_0·c_8_2·b_3_0·b_3_1 + b_2_02·c_8_2·b_3_04 + b_2_02·c_8_2·b_12_8
       + b_2_02·c_8_2·b_12_7 + b_2_02·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_02·b_6_22·c_8_2
       + b_2_04·b_8_1·c_8_2 + b_2_04·b_8_0·c_8_2 + b_2_0·c_8_22·b_3_0·b_3_1
       + b_2_0·b_6_2·c_8_22
  111. b_12_72 + b_12_6·b_12_7 + b_12_62 + b_2_0·b_8_02·b_3_0·b_3_1
       + b_2_0·b_8_02·b_3_02 + b_2_02·b_8_0·b_12_7 + b_2_03·b_6_2·b_3_03·b_3_1
       + b_2_03·b_6_23 + b_2_04·b_8_0·b_8_1 + b_2_05·b_14_13 + b_2_06·b_3_0·b_9_1
       + b_2_06·b_3_03·b_3_1 + b_2_06·b_12_7 + b_2_06·b_6_2·b_3_0·b_3_1
       + b_2_06·b_6_2·b_3_02 + b_2_02·c_8_2·b_12_7 + b_2_04·b_8_0·c_8_2 + b_2_08·c_8_2
       + b_2_0·c_8_22·b_3_0·b_3_1 + b_2_0·b_6_2·c_8_22
  112. b_12_8·b_3_0·b_9_1 + b_12_6·b_12_7 + b_8_02·b_8_1 + b_6_2·b_18_13
       + b_6_2·b_12_8·b_3_0·b_3_1 + b_6_2·b_12_6·b_3_0·b_3_1 + b_6_22·b_3_04
       + b_6_22·b_12_6 + b_6_24 + b_2_0·b_8_02·b_3_0·b_3_1 + b_2_02·b_8_1·b_12_8
       + b_2_02·b_8_0·b_12_7 + b_2_03·b_18_13 + b_2_03·b_12_6·b_3_0·b_3_1
       + b_2_03·b_6_2·b_3_03·b_3_1 + b_2_03·b_6_2·b_3_04 + b_2_03·b_6_2·b_12_8
       + b_2_03·b_6_22·b_3_02 + b_2_03·b_6_23 + b_2_04·b_8_02 + b_2_06·b_3_0·b_9_1
       + b_2_06·b_3_04 + b_2_06·b_12_6 + b_2_06·b_6_2·b_3_02 + b_2_06·b_6_22
       + b_2_08·b_8_1 + b_2_08·b_8_0 + b_2_0·c_8_2·b_14_13 + b_2_0·b_8_0·c_8_2·b_3_02
       + b_2_02·c_8_2·b_3_0·b_9_1 + b_2_02·c_8_2·b_3_03·b_3_1 + b_2_02·c_8_2·b_12_8
       + b_2_02·c_8_2·b_12_6 + b_2_02·b_6_2·c_8_2·b_3_02 + b_2_02·b_6_22·c_8_2
       + b_2_05·c_8_2·b_3_02 + b_2_05·b_6_2·c_8_2 + b_2_08·c_8_2
       + b_2_0·c_8_22·b_3_0·b_3_1 + b_2_0·b_6_2·c_8_22
  113. b_9_0·b_15_8 + b_12_62 + b_8_03 + b_6_2·b_12_8·b_3_0·b_3_1 + b_6_2·b_12_8·b_3_02
       + b_6_2·b_12_6·b_3_0·b_3_1 + b_6_2·b_12_6·b_3_02 + b_6_22·b_3_0·b_9_1
       + b_6_22·b_3_03·b_3_1 + b_6_22·b_3_04 + b_6_22·b_12_6 + b_6_23·b_3_0·b_3_1
       + b_6_24 + b_2_0·b_8_02·b_3_0·b_3_1 + b_2_02·b_8_0·b_12_8 + b_2_02·b_8_0·b_12_6
       + b_2_03·b_18_13 + b_2_03·b_12_8·b_3_0·b_3_1 + b_2_03·b_12_8·b_3_02
       + b_2_03·b_12_6·b_3_02 + b_2_03·b_6_2·b_12_8 + b_2_03·b_6_22·b_3_0·b_3_1
       + b_2_03·b_6_23 + b_2_04·b_8_0·b_8_1 + b_2_05·b_14_13 + b_2_05·b_8_0·b_3_0·b_3_1
       + b_2_06·b_3_0·b_9_1 + b_2_06·b_3_04 + b_2_06·b_12_7 + b_2_06·b_6_2·b_3_0·b_3_1
       + b_2_08·b_8_1 + b_2_08·b_8_0 + b_8_0·b_8_1·c_8_2 + b_8_02·c_8_2
       + b_2_0·b_8_0·c_8_2·b_3_0·b_3_1 + b_2_0·b_8_0·c_8_2·b_3_02
       + b_2_02·c_8_2·b_3_0·b_9_1 + b_2_02·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_04·b_8_1·c_8_2
       + b_2_05·c_8_2·b_3_0·b_3_1 + b_2_05·c_8_2·b_3_02 + b_2_0·c_8_22·b_3_0·b_3_1
       + b_2_0·c_8_22·b_3_02 + b_2_0·b_6_2·c_8_22 + b_2_04·c_8_22
  114. b_9_0·b_15_9 + b_12_6·b_12_7 + b_8_02·b_8_1 + b_8_03 + b_6_2·b_12_8·b_3_02
       + b_6_2·b_12_6·b_3_02 + b_6_22·b_12_7 + b_6_23·b_3_02 + b_6_24
       + b_2_0·b_8_02·b_3_02 + b_2_02·b_8_0·b_12_6 + b_2_03·b_18_13
       + b_2_03·b_12_8·b_3_0·b_3_1 + b_2_03·b_12_8·b_3_02 + b_2_03·b_12_6·b_3_0·b_3_1
       + b_2_03·b_6_2·b_3_03·b_3_1 + b_2_03·b_6_2·b_12_8 + b_2_03·b_6_2·b_12_7
       + b_2_03·b_6_22·b_3_0·b_3_1 + b_2_03·b_6_22·b_3_02 + b_2_04·b_8_02
       + b_2_05·b_8_0·b_3_0·b_3_1 + b_2_06·b_3_03·b_3_1 + b_2_06·b_12_8 + b_2_06·b_12_7
       + b_2_06·b_6_22 + b_2_08·b_8_1 + b_2_09·b_6_2 + b_8_0·b_8_1·c_8_2
       + b_2_0·c_8_2·b_14_13 + b_2_02·c_8_2·b_3_0·b_9_1 + b_2_02·c_8_2·b_3_03·b_3_1
       + b_2_02·c_8_2·b_12_7 + b_2_02·c_8_2·b_12_6 + b_2_02·b_6_2·c_8_2·b_3_02
       + b_2_05·c_8_2·b_3_0·b_3_1 + b_2_05·c_8_2·b_3_02 + b_2_05·b_6_2·c_8_2
       + b_2_04·c_8_22
  115. b_9_1·b_15_8 + b_12_62 + b_8_03 + b_6_2·b_18_13 + b_6_2·b_12_8·b_3_0·b_3_1
       + b_6_2·b_12_8·b_3_02 + b_6_2·b_12_6·b_3_0·b_3_1 + b_6_2·b_12_6·b_3_02
       + b_6_22·b_3_0·b_9_1 + b_6_22·b_3_04 + b_6_22·b_12_8 + b_6_23·b_3_02
       + b_2_0·b_8_02·b_3_0·b_3_1 + b_2_02·b_8_0·b_12_8 + b_2_02·b_8_0·b_12_7
       + b_2_02·b_8_0·b_12_6 + b_2_03·b_18_13 + b_2_03·b_12_8·b_3_02
       + b_2_03·b_12_6·b_3_0·b_3_1 + b_2_03·b_6_2·b_3_0·b_9_1
       + b_2_03·b_6_2·b_3_03·b_3_1 + b_2_03·b_6_2·b_3_04 + b_2_03·b_6_2·b_12_7
       + b_2_03·b_6_2·b_12_6 + b_2_04·b_8_0·b_8_1 + b_2_06·b_3_03·b_3_1 + b_2_06·b_3_04
       + b_2_06·b_12_8 + b_2_06·b_12_7 + b_2_06·b_6_2·b_3_0·b_3_1 + b_2_06·b_6_2·b_3_02
       + b_2_06·b_6_22 + b_2_08·b_8_1 + b_2_09·b_6_2 + b_2_0·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_0·b_8_0·c_8_2·b_3_02 + b_2_02·c_8_2·b_3_0·b_9_1 + b_2_02·c_8_2·b_3_04
       + b_2_02·c_8_2·b_12_8 + b_2_02·c_8_2·b_12_7 + b_2_02·c_8_2·b_12_6
       + b_2_02·b_6_2·c_8_2·b_3_02 + b_2_02·b_6_22·c_8_2 + b_2_04·b_8_0·c_8_2
       + b_2_05·b_6_2·c_8_2 + b_2_0·c_8_22·b_3_02
  116. b_9_1·b_15_9 + b_12_6·b_12_7 + b_8_02·b_8_1 + b_8_03 + b_6_2·b_18_13
       + b_6_2·b_12_8·b_3_0·b_3_1 + b_6_2·b_12_6·b_3_0·b_3_1 + b_6_22·b_12_7
       + b_6_23·b_3_02 + b_6_24 + b_2_0·b_8_02·b_3_02 + b_2_02·b_8_1·b_12_8
       + b_2_03·b_12_8·b_3_0·b_3_1 + b_2_03·b_12_6·b_3_0·b_3_1 + b_2_03·b_12_6·b_3_02
       + b_2_03·b_6_2·b_3_03·b_3_1 + b_2_03·b_6_2·b_3_04 + b_2_03·b_6_22·b_3_0·b_3_1
       + b_2_04·b_8_02 + b_2_05·b_14_13 + b_2_05·b_8_0·b_3_0·b_3_1
       + b_2_06·b_3_03·b_3_1 + b_2_06·b_3_04 + b_2_06·b_12_7 + b_2_06·b_6_2·b_3_02
       + b_2_06·b_6_22 + b_8_0·b_8_1·c_8_2 + b_2_0·b_8_0·c_8_2·b_3_02
       + b_2_02·c_8_2·b_3_0·b_9_1 + b_2_02·c_8_2·b_3_04
       + b_2_02·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_02·b_6_2·c_8_2·b_3_02
       + b_2_02·b_6_22·c_8_2 + b_2_04·b_8_1·c_8_2 + b_2_05·c_8_2·b_3_0·b_3_1
       + b_2_05·c_8_2·b_3_02 + b_2_05·b_6_2·c_8_2 + b_2_08·c_8_2
       + b_2_0·c_8_22·b_3_0·b_3_1 + b_2_04·c_8_22
  117. b_14_13·a_11_12
  118. b_18_13·a_7_2
  119. b_12_6·b_13_0 + b_8_02·b_3_02·b_3_1 + b_2_0·b_8_0·b_12_8·b_3_0
       + b_2_0·b_8_0·b_12_6·b_3_1 + b_2_02·b_12_6·b_3_02·b_3_1
       + b_2_02·b_6_2·b_12_8·b_3_0 + b_2_02·b_6_2·b_12_6·b_3_0 + b_2_02·b_6_22·b_9_0
       + b_2_02·b_6_22·b_3_02·b_3_1 + b_2_02·b_6_23·b_3_1 + b_2_04·b_8_0·b_3_03
       + b_2_05·b_15_8 + b_2_05·b_12_8·b_3_0 + b_2_05·b_12_6·b_3_0 + b_2_07·b_8_0·b_3_0
       + b_2_08·b_3_02·b_3_1 + b_2_08·b_6_2·b_3_1 + b_2_08·b_6_2·b_3_0
       + b_2_0·c_8_2·b_15_8 + b_2_0·c_8_2·b_12_8·b_3_1 + b_2_0·c_8_2·b_12_8·b_3_0
       + b_2_0·b_6_2·c_8_2·b_9_1 + b_2_0·b_6_2·c_8_2·b_3_03 + b_2_0·b_6_22·c_8_2·b_3_0
       + b_2_02·c_8_2·b_13_0 + b_2_03·b_8_0·c_8_2·b_3_1 + b_2_04·c_8_2·b_9_1
       + b_2_04·c_8_2·b_3_03 + b_2_04·b_6_2·c_8_2·b_3_0 + c_8_22·b_3_03
       + b_6_2·c_8_22·b_3_1 + b_6_2·c_8_22·b_3_0
  120. b_12_6·b_13_1 + b_8_02·b_3_02·b_3_1 + b_8_02·b_3_03 + b_2_0·b_8_0·b_12_8·b_3_1
       + b_2_0·b_8_0·b_12_6·b_3_1 + b_2_02·b_12_8·b_9_0 + b_2_02·b_12_6·b_3_02·b_3_1
       + b_2_02·b_8_0·b_13_1 + b_2_02·b_6_2·b_15_8 + b_2_02·b_6_2·b_12_8·b_3_1
       + b_2_02·b_6_2·b_12_6·b_3_1 + b_2_02·b_6_2·b_12_6·b_3_0
       + b_2_02·b_6_22·b_3_02·b_3_1 + b_2_02·b_6_23·b_3_0 + b_2_03·b_8_02·b_3_0
       + b_2_04·b_8_0·b_3_02·b_3_1 + b_2_05·b_15_8 + b_2_05·b_12_6·b_3_1
       + b_2_05·b_12_6·b_3_0 + b_2_05·b_6_2·b_9_1 + b_2_05·b_6_2·b_9_0
       + b_2_05·b_6_2·b_3_03 + b_2_06·b_13_1 + b_2_06·b_13_0 + b_2_07·b_8_0·b_3_1
       + b_2_08·b_6_2·b_3_1 + b_2_08·b_6_2·b_3_0 + b_2_0·c_8_2·b_15_9
       + b_2_0·c_8_2·b_12_8·b_3_0 + b_2_0·c_8_2·b_12_6·b_3_1 + b_2_0·b_6_2·c_8_2·b_9_1
       + b_2_0·b_6_2·c_8_2·b_9_0 + b_2_0·b_6_2·c_8_2·b_3_02·b_3_1
       + b_2_0·b_6_2·c_8_2·b_3_03 + b_2_0·b_6_22·c_8_2·b_3_0 + b_2_02·c_8_2·b_13_0
       + b_2_04·c_8_2·b_9_0 + b_2_04·c_8_2·b_3_02·b_3_1 + b_2_04·c_8_2·b_3_03
       + b_2_04·b_6_2·c_8_2·b_3_1 + b_2_04·b_6_2·c_8_2·b_3_0 + b_2_07·c_8_2·b_3_1
       + c_8_22·b_3_02·b_3_1 + b_6_2·c_8_22·b_3_0
  121. b_12_7·b_13_0 + b_8_02·b_3_02·b_3_1 + b_8_02·b_3_03 + b_2_0·b_8_0·b_12_8·b_3_1
       + b_2_0·b_8_0·b_12_8·b_3_0 + b_2_02·b_12_8·b_9_0 + b_2_02·b_12_6·b_3_03
       + b_2_02·b_8_0·b_13_1 + b_2_02·b_8_0·b_13_0 + b_2_02·b_6_2·b_15_9
       + b_2_02·b_6_2·b_12_8·b_3_1 + b_2_02·b_6_2·b_12_6·b_3_1
       + b_2_02·b_6_2·b_12_6·b_3_0 + b_2_02·b_6_22·b_9_1 + b_2_02·b_6_22·b_9_0
       + b_2_02·b_6_22·b_3_02·b_3_1 + b_2_02·b_6_22·b_3_03 + b_2_02·b_6_23·b_3_1
       + b_2_03·b_8_02·b_3_1 + b_2_04·b_8_0·b_3_02·b_3_1 + b_2_04·b_8_0·b_3_03
       + b_2_05·b_15_9 + b_2_05·b_15_8 + b_2_05·b_12_8·b_3_1 + b_2_05·b_12_6·b_3_1
       + b_2_05·b_6_2·b_3_02·b_3_1 + b_2_05·b_6_22·b_3_1 + b_2_06·b_13_1 + b_2_06·b_13_0
       + b_2_07·b_8_0·b_3_0 + b_2_08·b_3_03 + b_2_0·c_8_2·b_15_9 + b_2_0·c_8_2·b_15_8
       + b_2_0·c_8_2·b_12_8·b_3_1 + b_2_0·c_8_2·b_12_6·b_3_1 + b_2_0·c_8_2·b_12_6·b_3_0
       + b_2_0·b_6_2·c_8_2·b_9_0 + b_2_0·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_02·c_8_2·b_13_1
       + b_2_04·c_8_2·b_9_0 + b_2_04·c_8_2·b_3_03 + b_2_04·b_6_2·c_8_2·b_3_0
       + b_2_07·c_8_2·b_3_1 + c_8_22·b_3_02·b_3_1 + b_6_2·c_8_22·b_3_0
       + b_2_03·c_8_22·b_3_1 + b_2_03·c_8_22·b_3_0
  122. b_12_7·b_13_1 + b_8_02·b_3_03 + b_2_0·b_8_0·b_12_8·b_3_0 + b_2_0·b_8_0·b_12_6·b_3_1
       + b_2_02·b_6_2·b_15_8 + b_2_02·b_6_2·b_12_8·b_3_1 + b_2_02·b_6_2·b_12_8·b_3_0
       + b_2_02·b_6_2·b_12_6·b_3_1 + b_2_02·b_6_2·b_12_6·b_3_0 + b_2_02·b_6_22·b_9_1
       + b_2_02·b_6_22·b_3_02·b_3_1 + b_2_02·b_6_23·b_3_1 + b_2_02·b_6_23·b_3_0
       + b_2_04·b_8_0·b_3_02·b_3_1 + b_2_04·b_8_0·b_3_03 + b_2_05·b_12_8·b_3_0
       + b_2_05·b_12_6·b_3_1 + b_2_05·b_12_6·b_3_0 + b_2_05·b_6_2·b_9_0
       + b_2_05·b_6_2·b_3_02·b_3_1 + b_2_05·b_6_22·b_3_1 + b_2_05·b_6_22·b_3_0
       + b_2_07·b_8_0·b_3_1 + b_2_08·b_9_0 + b_2_08·b_3_02·b_3_1 + b_2_08·b_6_2·b_3_1
       + b_2_08·b_6_2·b_3_0 + b_2_011·b_3_0 + b_2_0·c_8_2·b_15_8 + b_2_0·c_8_2·b_12_8·b_3_1
       + b_2_0·c_8_2·b_12_8·b_3_0 + b_2_0·c_8_2·b_12_6·b_3_1 + b_2_0·b_6_2·c_8_2·b_9_1
       + b_2_0·b_6_2·c_8_2·b_3_03 + b_2_0·b_6_22·c_8_2·b_3_0 + b_2_02·c_8_2·b_13_0
       + b_2_03·b_8_0·c_8_2·b_3_1 + b_2_03·b_8_0·c_8_2·b_3_0 + b_2_04·c_8_2·b_3_03
       + b_2_07·c_8_2·b_3_0 + c_8_22·b_3_02·b_3_1 + c_8_22·b_3_03 + b_6_2·c_8_22·b_3_1
       + b_2_03·c_8_22·b_3_1
  123. a_11_12·b_15_8
  124. a_11_12·b_15_9
  125. b_8_0·b_18_13 + b_8_0·b_12_6·b_3_0·b_3_1 + b_2_0·b_12_7·b_12_8 + b_2_0·b_12_62
       + b_2_0·b_8_03 + b_2_0·b_6_2·b_18_13 + b_2_0·b_6_2·b_12_8·b_3_02
       + b_2_0·b_6_22·b_3_0·b_9_1 + b_2_0·b_6_22·b_3_04 + b_2_0·b_6_22·b_12_8
       + b_2_0·b_6_22·b_12_7 + b_2_0·b_6_23·b_3_02 + b_2_02·b_8_02·b_3_0·b_3_1
       + b_2_02·b_8_02·b_3_02 + b_2_03·b_8_0·b_12_8 + b_2_03·b_8_0·b_12_7
       + b_2_03·b_8_0·b_12_6 + b_2_04·b_12_8·b_3_0·b_3_1 + b_2_04·b_12_8·b_3_02
       + b_2_04·b_12_6·b_3_0·b_3_1 + b_2_04·b_6_2·b_3_0·b_9_1 + b_2_04·b_6_2·b_12_8
       + b_2_04·b_6_2·b_12_6 + b_2_04·b_6_22·b_3_0·b_3_1 + b_2_04·b_6_22·b_3_02
       + b_2_04·b_6_23 + b_2_05·b_8_0·b_8_1 + b_2_05·b_8_02 + b_2_06·b_8_0·b_3_02
       + b_2_07·b_3_0·b_9_1 + b_2_07·b_6_2·b_3_02 + c_8_2·b_12_8·b_3_0·b_3_1
       + c_8_2·b_12_6·b_3_0·b_3_1 + b_6_2·c_8_2·b_12_7 + b_6_2·c_8_2·b_12_6
       + b_2_0·b_8_0·b_8_1·c_8_2 + b_2_03·c_8_2·b_3_0·b_9_1 + b_2_03·c_8_2·b_12_8
       + b_2_03·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_03·b_6_2·c_8_2·b_3_02
       + b_2_06·c_8_2·b_3_02 + b_2_06·b_6_2·c_8_2 + b_2_09·c_8_2
       + b_2_02·c_8_22·b_3_0·b_3_1 + b_2_02·c_8_22·b_3_02 + b_2_05·c_8_22
  126. b_8_1·b_18_13 + b_8_0·b_12_6·b_3_02 + b_2_0·b_12_7·b_12_8 + b_2_0·b_12_6·b_12_8
       + b_2_0·b_8_03 + b_2_0·b_6_2·b_18_13 + b_2_0·b_6_22·b_3_0·b_9_1
       + b_2_0·b_6_22·b_12_6 + b_2_0·b_6_23·b_3_02 + b_2_0·b_6_24 + b_2_03·b_8_0·b_12_6
       + b_2_04·b_18_13 + b_2_04·b_12_8·b_3_0·b_3_1 + b_2_04·b_12_8·b_3_02
       + b_2_04·b_12_6·b_3_0·b_3_1 + b_2_04·b_12_6·b_3_02 + b_2_04·b_6_2·b_3_0·b_9_1
       + b_2_04·b_6_2·b_3_03·b_3_1 + b_2_04·b_6_2·b_12_8 + b_2_04·b_6_22·b_3_0·b_3_1
       + b_2_04·b_6_22·b_3_02 + b_2_05·b_8_0·b_8_1 + b_2_05·b_8_02
       + b_2_07·b_3_03·b_3_1 + b_2_07·b_12_8 + b_2_07·b_12_6 + b_2_07·b_6_2·b_3_0·b_3_1
       + c_8_2·b_12_8·b_3_02 + c_8_2·b_12_6·b_3_02 + b_6_2·c_8_2·b_12_7
       + b_2_0·b_8_02·c_8_2 + b_2_02·b_8_0·c_8_2·b_3_0·b_3_1 + b_2_03·c_8_2·b_3_0·b_9_1
       + b_2_03·c_8_2·b_3_04 + b_2_03·c_8_2·b_12_8 + b_2_03·c_8_2·b_12_7
       + b_2_03·c_8_2·b_12_6 + b_2_03·b_6_2·c_8_2·b_3_02 + b_2_03·b_6_22·c_8_2
       + b_2_05·b_8_1·c_8_2 + b_2_05·b_8_0·c_8_2 + b_2_06·c_8_2·b_3_0·b_3_1
       + b_2_06·b_6_2·c_8_2 + b_2_09·c_8_2 + b_2_02·c_8_22·b_3_0·b_3_1
       + b_2_02·b_6_2·c_8_22
  127. b_12_6·b_14_13 + b_2_0·b_12_7·b_12_8 + b_2_0·b_12_6·b_12_8 + b_2_0·b_8_03
       + b_2_0·b_6_2·b_18_13 + b_2_0·b_6_2·b_12_8·b_3_0·b_3_1
       + b_2_0·b_6_2·b_12_6·b_3_0·b_3_1 + b_2_0·b_6_2·b_12_6·b_3_02
       + b_2_0·b_6_22·b_3_03·b_3_1 + b_2_0·b_6_22·b_12_7 + b_2_0·b_6_23·b_3_0·b_3_1
       + b_2_0·b_6_23·b_3_02 + b_2_0·b_6_24 + b_2_02·b_8_02·b_3_02
       + b_2_03·b_8_1·b_12_8 + b_2_03·b_8_0·b_12_8 + b_2_03·b_8_0·b_12_7
       + b_2_04·b_12_6·b_3_0·b_3_1 + b_2_04·b_12_6·b_3_02 + b_2_04·b_6_2·b_3_03·b_3_1
       + b_2_04·b_6_2·b_3_04 + b_2_04·b_6_2·b_12_6 + b_2_04·b_6_22·b_3_0·b_3_1
       + b_2_04·b_6_23 + b_2_05·b_8_02 + b_2_07·b_3_0·b_9_1 + b_2_07·b_12_7
       + b_2_07·b_12_6 + b_2_07·b_6_2·b_3_02 + b_2_09·b_8_1 + b_2_010·b_6_2
       + b_2_0·b_8_0·b_8_1·c_8_2 + b_2_02·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_02·b_8_0·c_8_2·b_3_02 + b_2_03·c_8_2·b_3_0·b_9_1 + b_2_03·c_8_2·b_3_04
       + b_2_03·c_8_2·b_12_7 + b_2_03·c_8_2·b_12_6 + b_2_03·b_6_2·c_8_2·b_3_02
       + b_2_0·b_8_1·c_8_22 + b_2_0·b_8_0·c_8_22 + b_2_02·c_8_22·b_3_0·b_3_1
       + b_2_05·c_8_22
  128. b_12_7·b_14_13 + b_2_0·b_12_6·b_12_8 + b_2_0·b_8_02·b_8_1 + b_2_0·b_8_03
       + b_2_0·b_6_2·b_12_8·b_3_02 + b_2_0·b_6_2·b_12_6·b_3_0·b_3_1
       + b_2_0·b_6_2·b_12_6·b_3_02 + b_2_0·b_6_22·b_3_0·b_9_1
       + b_2_0·b_6_22·b_3_03·b_3_1 + b_2_0·b_6_22·b_12_8 + b_2_0·b_6_22·b_12_7
       + b_2_0·b_6_23·b_3_0·b_3_1 + b_2_0·b_6_23·b_3_02 + b_2_0·b_6_24
       + b_2_02·b_8_02·b_3_02 + b_2_03·b_8_1·b_12_8 + b_2_03·b_8_0·b_12_7
       + b_2_04·b_18_13 + b_2_04·b_12_8·b_3_0·b_3_1 + b_2_04·b_6_2·b_3_03·b_3_1
       + b_2_04·b_6_2·b_12_8 + b_2_04·b_6_2·b_12_7 + b_2_04·b_6_2·b_12_6
       + b_2_04·b_6_22·b_3_0·b_3_1 + b_2_04·b_6_23 + b_2_06·b_14_13
       + b_2_06·b_8_0·b_3_0·b_3_1 + b_2_07·b_3_0·b_9_1 + b_2_07·b_12_8 + b_2_07·b_12_7
       + b_2_07·b_12_6 + b_2_07·b_6_2·b_3_0·b_3_1 + b_2_07·b_6_2·b_3_02
       + b_2_07·b_6_22 + b_2_0·b_8_0·b_8_1·c_8_2 + b_2_02·c_8_2·b_14_13
       + b_2_03·c_8_2·b_3_0·b_9_1 + b_2_03·c_8_2·b_3_04 + b_2_03·c_8_2·b_12_7
       + b_2_03·c_8_2·b_12_6 + b_2_03·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_03·b_6_2·c_8_2·b_3_02 + b_2_05·b_8_0·c_8_2 + b_2_09·c_8_2
       + b_2_0·b_8_1·c_8_22 + b_2_02·c_8_22·b_3_0·b_3_1
  129. b_13_02 + b_8_0·b_12_8·b_3_0·b_3_1 + b_8_0·b_12_8·b_3_02
       + b_8_0·b_12_6·b_3_0·b_3_1 + b_2_0·b_8_03 + b_2_0·b_6_2·b_18_13
       + b_2_0·b_6_2·b_12_8·b_3_02 + b_2_0·b_6_2·b_12_6·b_3_02
       + b_2_0·b_6_22·b_3_0·b_9_1 + b_2_0·b_6_22·b_3_03·b_3_1 + b_2_0·b_6_22·b_12_6
       + b_2_0·b_6_23·b_3_0·b_3_1 + b_2_0·b_6_23·b_3_02 + b_2_0·b_6_24
       + b_2_02·b_8_02·b_3_0·b_3_1 + b_2_03·b_8_0·b_12_8 + b_2_03·b_8_0·b_12_6
       + b_2_04·b_12_6·b_3_0·b_3_1 + b_2_04·b_12_6·b_3_02 + b_2_04·b_6_2·b_3_03·b_3_1
       + b_2_04·b_6_2·b_12_6 + b_2_04·b_6_23 + b_2_05·b_8_02 + b_2_06·b_14_13
       + b_2_06·b_8_0·b_3_02 + b_2_07·b_3_0·b_9_1 + b_2_07·b_3_03·b_3_1 + b_2_07·b_12_7
       + b_2_07·b_6_2·b_3_0·b_3_1 + c_8_2·b_12_8·b_3_0·b_3_1 + c_8_2·b_12_8·b_3_02
       + b_6_2·c_8_2·b_3_04 + b_6_2·c_8_2·b_12_7 + b_6_23·c_8_2 + b_2_0·b_8_02·c_8_2
       + b_2_02·b_8_0·c_8_2·b_3_0·b_3_1 + b_2_03·c_8_2·b_3_0·b_9_1
       + b_2_03·c_8_2·b_3_03·b_3_1 + b_2_03·c_8_2·b_12_7 + b_2_03·c_8_2·b_12_6
       + b_2_03·b_6_2·c_8_2·b_3_02 + b_2_06·c_8_2·b_3_02 + b_2_09·c_8_2
       + b_2_0·b_8_1·c_8_22 + b_2_0·b_8_0·c_8_22
  130. b_13_0·b_13_1 + b_8_0·b_12_8·b_3_02 + b_8_0·b_12_6·b_3_0·b_3_1
       + b_8_0·b_12_6·b_3_02 + b_2_0·b_6_22·b_12_8 + b_2_0·b_6_22·b_12_7
       + b_2_0·b_6_22·b_12_6 + b_2_02·b_8_02·b_3_0·b_3_1 + b_2_02·b_8_02·b_3_02
       + b_2_04·b_18_13 + b_2_04·b_12_6·b_3_0·b_3_1 + b_2_04·b_6_2·b_3_03·b_3_1
       + b_2_04·b_6_2·b_3_04 + b_2_04·b_6_2·b_12_8 + b_2_05·b_8_02 + b_2_06·b_14_13
       + b_2_07·b_3_0·b_9_1 + b_2_07·b_3_03·b_3_1 + b_2_07·b_12_6
       + b_2_07·b_6_2·b_3_0·b_3_1 + b_2_07·b_6_22 + b_2_09·b_8_0 + b_2_010·b_6_2
       + c_8_2·b_12_8·b_3_02 + b_6_2·c_8_2·b_3_0·b_9_1 + b_6_2·c_8_2·b_3_04
       + b_6_2·c_8_2·b_12_7 + b_6_2·c_8_2·b_12_6 + b_6_22·c_8_2·b_3_02
       + b_2_0·b_8_0·b_8_1·c_8_2 + b_2_02·c_8_2·b_14_13 + b_2_02·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_02·b_8_0·c_8_2·b_3_02 + b_2_03·c_8_2·b_3_0·b_9_1
       + b_2_03·c_8_2·b_3_03·b_3_1 + b_2_03·c_8_2·b_12_8 + b_2_03·c_8_2·b_12_6
       + b_2_05·b_8_1·c_8_2 + b_2_06·c_8_2·b_3_0·b_3_1 + b_2_06·b_6_2·c_8_2
       + b_2_0·b_8_0·c_8_22 + b_2_02·c_8_22·b_3_0·b_3_1 + b_2_02·c_8_22·b_3_02
  131. b_13_12 + b_8_0·b_12_8·b_3_0·b_3_1 + b_8_0·b_12_6·b_3_02 + b_2_0·b_8_02·b_8_1
       + b_2_0·b_6_2·b_18_13 + b_2_0·b_6_2·b_12_8·b_3_02 + b_2_0·b_6_2·b_12_6·b_3_02
       + b_2_0·b_6_22·b_3_0·b_9_1 + b_2_0·b_6_22·b_3_03·b_3_1 + b_2_0·b_6_22·b_12_8
       + b_2_0·b_6_22·b_12_7 + b_2_0·b_6_23·b_3_0·b_3_1 + b_2_0·b_6_23·b_3_02
       + b_2_0·b_6_24 + b_2_02·b_8_02·b_3_02 + b_2_03·b_8_1·b_12_8
       + b_2_03·b_8_0·b_12_6 + b_2_04·b_12_8·b_3_0·b_3_1 + b_2_04·b_12_8·b_3_02
       + b_2_04·b_12_6·b_3_02 + b_2_04·b_6_2·b_12_7 + b_2_04·b_6_2·b_12_6
       + b_2_05·b_8_02 + b_2_06·b_8_0·b_3_02 + b_2_07·b_3_04 + b_2_07·b_12_7
       + b_2_07·b_6_2·b_3_02 + b_2_09·b_8_1 + b_2_010·b_6_2 + c_8_2·b_12_8·b_3_0·b_3_1
       + b_6_2·c_8_2·b_3_0·b_9_1 + b_6_2·c_8_2·b_12_6 + b_6_22·c_8_2·b_3_02 + b_6_23·c_8_2
       + b_2_0·b_8_02·c_8_2 + b_2_02·b_8_0·c_8_2·b_3_02 + b_2_03·c_8_2·b_3_04
       + b_2_03·c_8_2·b_12_6 + b_2_03·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_03·b_6_22·c_8_2
       + b_2_06·c_8_2·b_3_0·b_3_1 + b_2_09·c_8_2 + b_2_0·b_8_1·c_8_22
       + b_2_02·c_8_22·b_3_0·b_3_1
  132. b_12_6·b_15_8 + b_12_62·b_3_1 + b_8_03·b_3_1 + b_6_2·b_12_8·b_9_0 + b_6_22·b_15_9
       + b_6_22·b_12_8·b_3_0 + b_6_22·b_12_6·b_3_0 + b_6_23·b_9_1 + b_6_23·b_3_02·b_3_1
       + b_6_23·b_3_03 + b_6_24·b_3_1 + b_6_24·b_3_0 + b_2_0·b_12_8·b_13_1
       + b_2_0·b_12_8·b_13_0 + b_2_0·b_8_02·b_3_03 + b_2_02·b_8_0·b_12_6·b_3_1
       + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_8_0·b_13_1 + b_2_03·b_8_0·b_13_0
       + b_2_03·b_6_2·b_15_9 + b_2_03·b_6_2·b_15_8 + b_2_03·b_6_2·b_12_8·b_3_0
       + b_2_03·b_6_2·b_12_6·b_3_1 + b_2_03·b_6_2·b_12_6·b_3_0 + b_2_03·b_6_23·b_3_1
       + b_2_03·b_6_23·b_3_0 + b_2_04·b_8_02·b_3_1 + b_2_05·b_8_0·b_3_02·b_3_1
       + b_2_06·b_15_9 + b_2_06·b_15_8 + b_2_06·b_12_6·b_3_1 + b_2_06·b_6_2·b_9_1
       + b_2_06·b_6_2·b_3_03 + b_2_06·b_6_22·b_3_0 + b_2_07·b_13_1 + b_2_09·b_9_1
       + b_2_09·b_3_02·b_3_1 + b_2_09·b_6_2·b_3_1 + b_8_02·c_8_2·b_3_0
       + b_2_0·b_8_0·c_8_2·b_3_02·b_3_1 + b_2_02·c_8_2·b_12_8·b_3_0
       + b_2_02·c_8_2·b_12_6·b_3_1 + b_2_02·b_6_2·c_8_2·b_9_1
       + b_2_02·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_02·b_6_22·c_8_2·b_3_0
       + b_2_04·b_8_0·c_8_2·b_3_1 + b_2_05·c_8_2·b_9_1 + b_2_05·c_8_2·b_9_0
       + b_2_05·c_8_2·b_3_02·b_3_1 + b_2_05·c_8_2·b_3_03 + b_2_05·b_6_2·c_8_2·b_3_0
       + b_2_08·c_8_2·b_3_0 + b_8_0·c_8_22·b_3_1 + b_2_0·c_8_22·b_9_0
       + b_2_0·b_6_2·c_8_22·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_0
  133. b_12_6·b_15_9 + b_12_62·b_3_1 + b_12_62·b_3_0 + b_8_03·b_3_1 + b_8_03·b_3_0
       + b_6_2·b_12_8·b_9_1 + b_6_2·b_12_6·b_3_03 + b_6_22·b_15_8 + b_6_22·b_12_8·b_3_1
       + b_6_22·b_12_6·b_3_1 + b_6_22·b_12_6·b_3_0 + b_6_23·b_3_02·b_3_1
       + b_6_23·b_3_03 + b_6_24·b_3_1 + b_6_24·b_3_0 + b_2_0·b_12_8·b_13_0
       + b_2_0·b_8_02·b_3_02·b_3_1 + b_2_02·b_8_0·b_12_6·b_3_1
       + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_12_6·b_3_03 + b_2_03·b_8_0·b_13_0
       + b_2_03·b_6_2·b_12_8·b_3_1 + b_2_03·b_6_2·b_12_8·b_3_0
       + b_2_03·b_6_2·b_12_6·b_3_0 + b_2_03·b_6_22·b_9_1 + b_2_03·b_6_22·b_9_0
       + b_2_03·b_6_22·b_3_02·b_3_1 + b_2_03·b_6_23·b_3_0 + b_2_04·b_8_02·b_3_0
       + b_2_05·b_8_0·b_3_03 + b_2_06·b_15_9 + b_2_06·b_12_8·b_3_1 + b_2_06·b_12_8·b_3_0
       + b_2_06·b_12_6·b_3_1 + b_2_06·b_6_2·b_9_1 + b_2_06·b_6_2·b_9_0
       + b_2_06·b_6_2·b_3_02·b_3_1 + b_2_06·b_6_2·b_3_03 + b_2_07·b_13_1
       + b_2_08·b_8_0·b_3_1 + b_2_09·b_6_2·b_3_1 + b_2_09·b_6_2·b_3_0
       + b_2_02·c_8_2·b_15_9 + b_2_02·c_8_2·b_12_8·b_3_1 + b_2_02·c_8_2·b_12_8·b_3_0
       + b_2_02·c_8_2·b_12_6·b_3_1 + b_2_02·c_8_2·b_12_6·b_3_0 + b_2_02·b_6_2·c_8_2·b_9_1
       + b_2_02·b_6_2·c_8_2·b_9_0 + b_2_02·b_6_2·c_8_2·b_3_03
       + b_2_02·b_6_22·c_8_2·b_3_1 + b_2_02·b_6_22·c_8_2·b_3_0 + b_2_03·c_8_2·b_13_1
       + b_2_04·b_8_0·c_8_2·b_3_1 + b_2_05·c_8_2·b_3_02·b_3_1 + b_2_05·c_8_2·b_3_03
       + b_2_05·b_6_2·c_8_2·b_3_1 + b_2_05·b_6_2·c_8_2·b_3_0 + b_2_08·c_8_2·b_3_1
       + b_2_08·c_8_2·b_3_0 + b_8_0·c_8_22·b_3_1 + b_8_0·c_8_22·b_3_0 + b_2_0·c_8_22·b_9_1
  134. b_12_7·b_15_8 + b_12_62·b_3_1 + b_12_62·b_3_0 + b_8_03·b_3_1 + b_8_03·b_3_0
       + b_6_2·b_12_8·b_9_1 + b_6_2·b_12_6·b_3_03 + b_6_22·b_15_8 + b_6_22·b_12_8·b_3_1
       + b_6_22·b_12_6·b_3_1 + b_6_22·b_12_6·b_3_0 + b_6_23·b_3_02·b_3_1
       + b_6_23·b_3_03 + b_6_24·b_3_1 + b_6_24·b_3_0 + b_2_0·b_12_8·b_13_1
       + b_2_02·b_8_0·b_12_8·b_3_1 + b_2_02·b_8_0·b_12_8·b_3_0
       + b_2_02·b_8_0·b_12_6·b_3_1 + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_8_0·b_13_1
       + b_2_03·b_6_2·b_12_6·b_3_0 + b_2_03·b_6_22·b_3_03 + b_2_03·b_6_23·b_3_1
       + b_2_04·b_8_02·b_3_0 + b_2_05·b_8_0·b_3_02·b_3_1 + b_2_06·b_15_9
       + b_2_06·b_12_8·b_3_0 + b_2_06·b_12_6·b_3_1 + b_2_06·b_6_2·b_9_1
       + b_2_06·b_6_2·b_3_03 + b_2_06·b_6_22·b_3_1 + b_2_07·b_13_1 + b_2_08·b_8_0·b_3_0
       + b_2_09·b_9_1 + b_2_09·b_6_2·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_02·b_3_1
       + b_2_02·c_8_2·b_15_9 + b_2_02·c_8_2·b_12_8·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_05·c_8_2·b_9_0 + b_2_05·c_8_2·b_3_03
       + b_2_05·b_6_2·c_8_2·b_3_0 + b_2_08·c_8_2·b_3_0 + b_8_0·c_8_22·b_3_1
       + b_8_0·c_8_22·b_3_0 + b_2_0·c_8_22·b_9_0 + b_2_0·c_8_22·b_3_03
       + b_2_0·b_6_2·c_8_22·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_0 + b_2_04·c_8_22·b_3_1
       + b_2_04·c_8_22·b_3_0
  135. b_12_7·b_15_9 + b_12_62·b_3_0 + b_8_03·b_3_0 + b_6_2·b_12_8·b_9_1 + b_6_2·b_12_8·b_9_0
       + b_6_2·b_12_6·b_3_03 + b_6_22·b_15_9 + b_6_22·b_15_8 + b_6_22·b_12_8·b_3_1
       + b_6_22·b_12_8·b_3_0 + b_6_22·b_12_6·b_3_1 + b_6_23·b_9_1 + b_2_0·b_12_8·b_13_1
       + b_2_0·b_12_8·b_13_0 + b_2_02·b_8_0·b_12_8·b_3_1 + b_2_02·b_8_0·b_12_8·b_3_0
       + b_2_03·b_12_8·b_9_0 + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_8_0·b_13_1
       + b_2_03·b_8_0·b_13_0 + b_2_03·b_6_2·b_12_8·b_3_1 + b_2_03·b_6_22·b_9_1
       + b_2_03·b_6_22·b_3_03 + b_2_04·b_8_02·b_3_1 + b_2_06·b_12_8·b_3_0
       + b_2_06·b_12_6·b_3_1 + b_2_06·b_6_2·b_9_0 + b_2_06·b_6_2·b_3_02·b_3_1
       + b_2_06·b_6_22·b_3_1 + b_2_07·b_13_1 + b_2_07·b_13_0 + b_2_08·b_8_0·b_3_1
       + b_2_09·b_3_02·b_3_1 + b_2_09·b_6_2·b_3_0 + b_8_02·c_8_2·b_3_0
       + b_2_0·b_8_0·c_8_2·b_3_03 + b_2_02·c_8_2·b_15_9 + b_2_02·c_8_2·b_12_8·b_3_1
       + b_2_02·c_8_2·b_12_8·b_3_0 + b_2_02·c_8_2·b_12_6·b_3_1
       + b_2_02·c_8_2·b_12_6·b_3_0 + b_2_02·b_6_2·c_8_2·b_3_03
       + b_2_02·b_6_22·c_8_2·b_3_0 + b_2_03·c_8_2·b_13_0 + b_2_04·b_8_0·c_8_2·b_3_1
       + b_2_05·c_8_2·b_9_1 + b_2_05·c_8_2·b_3_02·b_3_1 + b_2_05·c_8_2·b_3_03
       + b_2_05·b_6_2·c_8_2·b_3_0 + b_2_08·c_8_2·b_3_0 + b_8_0·c_8_22·b_3_0
       + b_2_0·c_8_22·b_9_1 + b_2_0·c_8_22·b_3_03 + b_2_04·c_8_22·b_3_1
       + b_2_04·c_8_22·b_3_0
  136. b_14_13·b_13_0 + b_2_0·b_12_8·b_13_1 + b_2_0·b_8_02·b_3_03 + b_2_03·b_12_8·b_9_1
       + b_2_03·b_12_8·b_9_0 + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_12_6·b_3_03
       + b_2_03·b_6_2·b_15_8 + b_2_03·b_6_22·b_9_0 + b_2_03·b_6_22·b_3_02·b_3_1
       + b_2_03·b_6_23·b_3_0 + b_2_04·b_8_02·b_3_0 + b_2_05·b_8_0·b_3_03
       + b_2_06·b_12_8·b_3_0 + b_2_06·b_12_6·b_3_1 + b_2_06·b_12_6·b_3_0
       + b_2_06·b_6_2·b_9_1 + b_2_06·b_6_2·b_3_02·b_3_1 + b_2_06·b_6_22·b_3_1
       + b_2_06·b_6_22·b_3_0 + b_2_07·b_13_0 + b_2_08·b_8_0·b_3_0 + b_2_09·b_9_0
       + b_2_09·b_3_03 + b_2_09·b_6_2·b_3_1 + b_2_012·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_03
       + b_2_02·c_8_2·b_15_9 + b_2_02·b_6_2·c_8_2·b_9_1 + b_2_02·b_6_2·c_8_2·b_3_03
       + b_2_03·c_8_2·b_13_1 + b_2_04·b_8_0·c_8_2·b_3_1 + b_2_05·c_8_2·b_9_1
       + b_2_05·c_8_2·b_3_02·b_3_1 + b_2_05·c_8_2·b_3_03 + b_2_08·c_8_2·b_3_1
       + b_2_08·c_8_2·b_3_0 + b_2_0·c_8_22·b_9_1 + b_2_04·c_8_22·b_3_1
       + b_2_04·c_8_22·b_3_0
  137. b_14_13·b_13_1 + b_2_0·b_12_8·b_13_1 + b_2_0·b_12_8·b_13_0
       + b_2_0·b_8_02·b_3_02·b_3_1 + b_2_02·b_8_0·b_12_8·b_3_0
       + b_2_02·b_8_0·b_12_6·b_3_1 + b_2_02·b_8_0·b_12_6·b_3_0 + b_2_03·b_12_8·b_9_0
       + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_12_6·b_3_03 + b_2_03·b_8_0·b_13_1
       + b_2_03·b_8_0·b_13_0 + b_2_03·b_6_2·b_15_9 + b_2_03·b_6_2·b_15_8
       + b_2_03·b_6_2·b_12_8·b_3_1 + b_2_03·b_6_22·b_9_1 + b_2_03·b_6_22·b_3_02·b_3_1
       + b_2_03·b_6_22·b_3_03 + b_2_03·b_6_23·b_3_0 + b_2_04·b_8_02·b_3_0
       + b_2_06·b_15_8 + b_2_06·b_12_8·b_3_1 + b_2_06·b_12_6·b_3_0
       + b_2_06·b_6_2·b_3_02·b_3_1 + b_2_06·b_6_2·b_3_03 + b_2_06·b_6_22·b_3_1
       + b_2_07·b_13_1 + b_2_08·b_8_0·b_3_0 + b_2_09·b_9_1 + b_2_09·b_9_0 + b_2_09·b_3_03
       + b_2_09·b_6_2·b_3_1 + b_2_012·b_3_0 + b_2_0·b_8_0·c_8_2·b_3_02·b_3_1
       + b_2_02·c_8_2·b_15_8 + b_2_02·c_8_2·b_12_8·b_3_0 + b_2_02·c_8_2·b_12_6·b_3_1
       + b_2_02·c_8_2·b_12_6·b_3_0 + b_2_02·b_6_2·c_8_2·b_9_1 + b_2_02·b_6_2·c_8_2·b_9_0
       + b_2_02·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_02·b_6_2·c_8_2·b_3_03
       + b_2_02·b_6_22·c_8_2·b_3_1 + b_2_02·b_6_22·c_8_2·b_3_0 + b_2_05·c_8_2·b_9_1
       + b_2_05·c_8_2·b_9_0 + b_2_05·c_8_2·b_3_02·b_3_1 + b_2_05·c_8_2·b_3_03
       + b_2_05·b_6_2·c_8_2·b_3_1 + b_2_0·c_8_22·b_9_1 + b_2_0·c_8_22·b_9_0
       + b_2_0·c_8_22·b_3_03 + b_2_0·b_6_2·c_8_22·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_0
       + b_2_04·c_8_22·b_3_0
  138. b_18_13·b_9_0 + b_12_62·b_3_0 + b_6_2·b_12_8·b_9_1 + b_6_2·b_12_8·b_9_0
       + b_6_2·b_12_6·b_3_02·b_3_1 + b_6_22·b_15_9 + b_6_22·b_15_8 + b_6_22·b_12_6·b_3_1
       + b_6_23·b_9_0 + b_6_24·b_3_1 + b_2_0·b_8_02·b_3_03 + b_2_02·b_8_0·b_12_8·b_3_1
       + b_2_02·b_8_0·b_12_8·b_3_0 + b_2_02·b_8_0·b_12_6·b_3_0 + b_2_03·b_12_8·b_9_1
       + b_2_03·b_12_8·b_9_0 + b_2_03·b_12_6·b_3_02·b_3_1 + b_2_03·b_8_0·b_13_1
       + b_2_03·b_8_0·b_13_0 + b_2_03·b_6_2·b_15_8 + b_2_03·b_6_2·b_12_8·b_3_0
       + b_2_03·b_6_22·b_9_1 + b_2_03·b_6_22·b_9_0 + b_2_03·b_6_22·b_3_02·b_3_1
       + b_2_03·b_6_22·b_3_03 + b_2_03·b_6_23·b_3_0 + b_2_04·b_8_02·b_3_0
       + b_2_06·b_15_9 + b_2_06·b_6_2·b_9_1 + b_2_06·b_6_2·b_9_0
       + b_2_06·b_6_2·b_3_02·b_3_1 + b_2_07·b_13_1 + b_2_08·b_8_0·b_3_1
       + b_2_08·b_8_0·b_3_0 + b_2_09·b_9_1 + b_2_09·b_9_0 + b_2_09·b_3_02·b_3_1
       + b_2_09·b_6_2·b_3_1 + b_2_012·b_3_0 + b_8_02·c_8_2·b_3_0
       + b_2_0·b_8_0·c_8_2·b_3_02·b_3_1 + b_2_02·c_8_2·b_15_9 + b_2_02·c_8_2·b_12_6·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_02·b_6_22·c_8_2·b_3_0
       + b_2_03·c_8_2·b_13_1 + b_2_05·c_8_2·b_9_0 + b_2_05·c_8_2·b_3_02·b_3_1
       + b_2_05·b_6_2·c_8_2·b_3_1 + b_2_05·b_6_2·c_8_2·b_3_0 + b_8_0·c_8_22·b_3_0
       + b_2_0·c_8_22·b_9_0 + b_2_0·c_8_22·b_3_02·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_0
  139. b_18_13·b_9_1 + b_12_62·b_3_0 + b_6_2·b_12_8·b_9_0 + b_6_2·b_12_6·b_3_02·b_3_1
       + b_6_22·b_15_9 + b_6_22·b_12_8·b_3_0 + b_6_23·b_9_1 + b_6_23·b_3_02·b_3_1
       + b_6_24·b_3_1 + b_2_0·b_8_02·b_3_03 + b_2_02·b_8_0·b_12_6·b_3_0
       + b_2_03·b_12_8·b_9_1 + b_2_03·b_12_8·b_9_0 + b_2_03·b_8_0·b_13_1
       + b_2_03·b_8_0·b_13_0 + b_2_03·b_6_22·b_9_1 + b_2_03·b_6_22·b_9_0
       + b_2_03·b_6_22·b_3_02·b_3_1 + b_2_03·b_6_23·b_3_0 + b_2_05·b_8_0·b_3_03
       + b_2_06·b_15_9 + b_2_06·b_15_8 + b_2_06·b_12_8·b_3_1 + b_2_06·b_12_8·b_3_0
       + b_2_06·b_12_6·b_3_1 + b_2_06·b_6_2·b_9_1 + b_2_06·b_6_2·b_3_03
       + b_2_06·b_6_22·b_3_0 + b_2_07·b_13_0 + b_2_08·b_8_0·b_3_0 + b_2_09·b_6_2·b_3_0
       + b_8_02·c_8_2·b_3_1 + b_2_02·c_8_2·b_15_9 + b_2_02·c_8_2·b_15_8
       + b_2_02·c_8_2·b_12_8·b_3_0 + b_2_02·b_6_2·c_8_2·b_9_1 + b_2_02·b_6_2·c_8_2·b_9_0
       + b_2_02·b_6_22·c_8_2·b_3_1 + b_2_02·b_6_22·c_8_2·b_3_0
       + b_2_04·b_8_0·c_8_2·b_3_0 + b_2_05·c_8_2·b_9_0 + b_2_05·c_8_2·b_3_03
       + b_2_05·b_6_2·c_8_2·b_3_1 + b_2_08·c_8_2·b_3_1 + b_8_0·c_8_22·b_3_1
       + b_2_0·c_8_22·b_9_1 + b_2_0·b_6_2·c_8_22·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_0
       + b_2_04·c_8_22·b_3_0
  140. b_14_132 + b_2_0·b_12_8·b_14_13 + b_2_02·b_12_82 + b_2_02·b_12_6·b_12_8
       + b_2_02·b_12_6·b_12_7 + b_2_02·b_12_62 + b_2_02·b_8_02·b_8_1 + b_2_02·b_8_03
       + b_2_02·b_6_2·b_12_6·b_3_0·b_3_1 + b_2_02·b_6_2·b_12_6·b_3_02
       + b_2_02·b_6_22·b_12_7 + b_2_02·b_6_22·b_12_6 + b_2_03·b_8_02·b_3_0·b_3_1
       + b_2_04·b_8_1·b_12_8 + b_2_04·b_8_0·b_12_8 + b_2_05·b_12_8·b_3_0·b_3_1
       + b_2_05·b_12_6·b_3_0·b_3_1 + b_2_05·b_6_2·b_3_0·b_9_1
       + b_2_05·b_6_2·b_3_03·b_3_1 + b_2_05·b_6_2·b_12_8 + b_2_05·b_6_2·b_12_6
       + b_2_05·b_6_22·b_3_02 + b_2_05·b_6_23 + b_2_07·b_14_13
       + b_2_07·b_8_0·b_3_0·b_3_1 + b_2_07·b_8_0·b_3_02 + b_2_08·b_3_0·b_9_1
       + b_2_08·b_3_04 + b_2_08·b_12_8 + b_2_08·b_6_2·b_3_0·b_3_1
       + b_2_08·b_6_2·b_3_02 + b_2_08·b_6_22 + b_2_010·b_8_0 + b_2_011·b_6_2
       + b_2_02·b_8_02·c_8_2 + b_2_03·c_8_2·b_14_13 + b_2_04·c_8_2·b_3_04
       + b_2_04·c_8_2·b_12_6 + b_2_04·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_04·b_6_2·c_8_2·b_3_02 + b_2_04·b_6_22·c_8_2 + b_2_07·c_8_2·b_3_0·b_3_1
       + b_2_03·b_6_2·c_8_22 + b_2_02·c_8_23
  141. b_13_0·b_15_8 + b_8_0·b_8_1·b_12_8 + b_8_02·b_12_6 + b_2_0·b_12_8·b_14_13
       + b_2_0·b_8_0·b_12_8·b_3_02 + b_2_0·b_8_0·b_12_6·b_3_0·b_3_1 + b_2_02·b_12_82
       + b_2_02·b_12_6·b_12_8 + b_2_02·b_12_6·b_12_7 + b_2_02·b_12_62 + b_2_02·b_8_03
       + b_2_02·b_6_2·b_12_8·b_3_02 + b_2_02·b_6_22·b_3_0·b_9_1
       + b_2_02·b_6_22·b_12_8 + b_2_03·b_8_02·b_3_0·b_3_1 + b_2_04·b_8_0·b_12_7
       + b_2_04·b_8_0·b_12_6 + b_2_05·b_18_13 + b_2_05·b_12_8·b_3_02
       + b_2_05·b_6_2·b_3_0·b_9_1 + b_2_05·b_6_2·b_3_04 + b_2_05·b_6_2·b_12_8
       + b_2_05·b_6_2·b_12_7 + b_2_05·b_6_2·b_12_6 + b_2_05·b_6_22·b_3_0·b_3_1
       + b_2_06·b_8_0·b_8_1 + b_2_07·b_8_0·b_3_0·b_3_1 + b_2_07·b_8_0·b_3_02
       + b_2_08·b_3_03·b_3_1 + b_2_08·b_3_04 + b_2_08·b_12_8 + b_2_08·b_12_7
       + b_2_08·b_6_22 + b_2_010·b_8_1 + b_2_011·b_6_2 + b_8_0·c_8_2·b_12_6
       + b_2_0·c_8_2·b_18_13 + b_2_0·c_8_2·b_12_8·b_3_0·b_3_1 + b_2_0·c_8_2·b_12_6·b_3_02
       + b_2_0·b_6_2·c_8_2·b_12_7 + b_2_0·b_6_22·c_8_2·b_3_02 + b_2_0·b_6_23·c_8_2
       + b_2_02·b_8_0·b_8_1·c_8_2 + b_2_02·b_8_02·c_8_2 + b_2_03·c_8_2·b_14_13
       + b_2_03·b_8_0·c_8_2·b_3_02 + b_2_04·c_8_2·b_3_0·b_9_1 + b_2_04·c_8_2·b_3_04
       + b_2_04·c_8_2·b_12_8 + b_2_04·c_8_2·b_12_7 + b_2_04·c_8_2·b_12_6
       + b_2_04·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_04·b_6_22·c_8_2 + b_2_06·b_8_0·c_8_2
       + b_2_07·c_8_2·b_3_0·b_3_1 + b_2_07·c_8_2·b_3_02 + b_2_07·b_6_2·c_8_2
       + b_2_010·c_8_2 + b_2_02·b_8_0·c_8_22 + b_2_03·c_8_22·b_3_0·b_3_1
       + b_2_03·c_8_22·b_3_02 + b_2_03·b_6_2·c_8_22 + b_2_06·c_8_22
       + b_2_02·c_8_23
  142. b_13_0·b_15_9 + b_8_02·b_12_8 + b_8_02·b_12_7 + b_2_0·b_8_0·b_12_8·b_3_0·b_3_1
       + b_2_0·b_8_0·b_12_8·b_3_02 + b_2_0·b_8_0·b_12_6·b_3_02 + b_2_02·b_12_82
       + b_2_02·b_12_7·b_12_8 + b_2_02·b_12_6·b_12_8 + b_2_02·b_12_62 + b_2_02·b_8_03
       + b_2_02·b_6_2·b_12_8·b_3_0·b_3_1 + b_2_02·b_6_2·b_12_8·b_3_02
       + b_2_02·b_6_22·b_3_0·b_9_1 + b_2_02·b_6_22·b_3_03·b_3_1
       + b_2_02·b_6_22·b_12_8 + b_2_02·b_6_22·b_12_7 + b_2_02·b_6_23·b_3_0·b_3_1
       + b_2_02·b_6_23·b_3_02 + b_2_02·b_6_24 + b_2_03·b_8_02·b_3_02
       + b_2_04·b_8_0·b_12_8 + b_2_04·b_8_0·b_12_6 + b_2_05·b_12_8·b_3_0·b_3_1
       + b_2_05·b_12_6·b_3_0·b_3_1 + b_2_05·b_12_6·b_3_02 + b_2_05·b_6_2·b_3_03·b_3_1
       + b_2_05·b_6_2·b_12_7 + b_2_05·b_6_22·b_3_0·b_3_1 + b_2_05·b_6_22·b_3_02
       + b_2_05·b_6_23 + b_2_07·b_14_13 + b_2_08·b_3_0·b_9_1 + b_2_08·b_12_8
       + b_2_010·b_8_0 + b_2_011·b_6_2 + b_8_0·c_8_2·b_12_7 + b_2_0·c_8_2·b_18_13
       + b_2_0·c_8_2·b_12_6·b_3_02 + b_2_0·b_6_2·c_8_2·b_3_03·b_3_1
       + b_2_0·b_6_2·c_8_2·b_12_7 + b_2_0·b_6_2·c_8_2·b_12_6
       + b_2_0·b_6_22·c_8_2·b_3_0·b_3_1 + b_2_0·b_6_22·c_8_2·b_3_02
       + b_2_0·b_6_23·c_8_2 + b_2_02·b_8_02·c_8_2 + b_2_04·c_8_2·b_3_0·b_9_1
       + b_2_04·c_8_2·b_3_03·b_3_1 + b_2_04·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_04·b_6_2·c_8_2·b_3_02 + b_2_07·c_8_2·b_3_0·b_3_1 + b_2_07·c_8_2·b_3_02
       + b_2_07·b_6_2·c_8_2 + b_2_010·c_8_2 + b_2_02·b_8_0·c_8_22 + b_2_02·c_8_23
  143. b_13_1·b_15_8 + b_8_02·b_12_8 + b_8_02·b_12_7 + b_2_0·b_8_0·b_12_8·b_3_02
       + b_2_0·b_8_0·b_12_6·b_3_0·b_3_1 + b_2_02·b_12_82 + b_2_02·b_12_7·b_12_8
       + b_2_02·b_12_6·b_12_7 + b_2_02·b_12_62 + b_2_02·b_6_2·b_18_13
       + b_2_02·b_6_2·b_12_8·b_3_0·b_3_1 + b_2_02·b_6_2·b_12_6·b_3_02
       + b_2_02·b_6_22·b_3_0·b_9_1 + b_2_02·b_6_22·b_12_7 + b_2_02·b_6_23·b_3_02
       + b_2_02·b_6_24 + b_2_03·b_8_02·b_3_02 + b_2_04·b_8_1·b_12_8
       + b_2_04·b_8_0·b_12_8 + b_2_04·b_8_0·b_12_7 + b_2_04·b_8_0·b_12_6 + b_2_05·b_18_13
       + b_2_05·b_12_8·b_3_02 + b_2_05·b_12_6·b_3_0·b_3_1 + b_2_05·b_6_2·b_3_0·b_9_1
       + b_2_05·b_6_2·b_12_8 + b_2_05·b_6_2·b_12_6 + b_2_05·b_6_22·b_3_02
       + b_2_06·b_8_0·b_8_1 + b_2_07·b_14_13 + b_2_07·b_8_0·b_3_0·b_3_1
       + b_2_07·b_8_0·b_3_02 + b_2_08·b_3_03·b_3_1 + b_2_08·b_3_04 + b_2_08·b_12_7
       + b_2_08·b_12_6 + b_2_08·b_6_2·b_3_02 + b_2_010·b_8_1 + b_2_010·b_8_0
       + b_8_0·c_8_2·b_12_7 + b_2_0·c_8_2·b_18_13 + b_2_0·c_8_2·b_12_8·b_3_0·b_3_1
       + b_2_0·c_8_2·b_12_8·b_3_02 + b_2_0·c_8_2·b_12_6·b_3_0·b_3_1
       + b_2_0·c_8_2·b_12_6·b_3_02 + b_2_0·b_6_2·c_8_2·b_3_03·b_3_1
       + b_2_0·b_6_2·c_8_2·b_12_7 + b_2_0·b_6_22·c_8_2·b_3_0·b_3_1
       + b_2_0·b_6_22·c_8_2·b_3_02 + b_2_0·b_6_23·c_8_2 + b_2_02·b_8_0·b_8_1·c_8_2
       + b_2_03·c_8_2·b_14_13 + b_2_03·b_8_0·c_8_2·b_3_02 + b_2_04·c_8_2·b_3_0·b_9_1
       + b_2_04·c_8_2·b_12_7 + b_2_04·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_04·b_6_2·c_8_2·b_3_02 + b_2_07·c_8_2·b_3_02 + b_2_010·c_8_2
       + b_2_02·b_8_0·c_8_22 + b_2_03·c_8_22·b_3_02 + b_2_06·c_8_22
       + b_2_02·c_8_23
  144. b_13_1·b_15_9 + b_8_0·b_8_1·b_12_8 + b_8_02·b_12_8 + b_8_02·b_12_7 + b_8_02·b_12_6
       + b_2_0·b_12_8·b_14_13 + b_2_0·b_8_0·b_12_8·b_3_02 + b_2_0·b_8_0·b_12_6·b_3_0·b_3_1
       + b_2_02·b_12_62 + b_2_02·b_8_02·b_8_1 + b_2_02·b_8_03 + b_2_02·b_6_2·b_18_13
       + b_2_02·b_6_2·b_12_8·b_3_0·b_3_1 + b_2_02·b_6_2·b_12_8·b_3_02
       + b_2_02·b_6_2·b_12_6·b_3_02 + b_2_02·b_6_22·b_3_0·b_9_1
       + b_2_02·b_6_22·b_3_04 + b_2_02·b_6_24 + b_2_03·b_8_02·b_3_0·b_3_1
       + b_2_04·b_8_1·b_12_8 + b_2_04·b_8_0·b_12_8 + b_2_05·b_12_8·b_3_0·b_3_1
       + b_2_05·b_12_6·b_3_0·b_3_1 + b_2_05·b_6_2·b_3_0·b_9_1 + b_2_05·b_6_2·b_3_04
       + b_2_05·b_6_2·b_12_8 + b_2_05·b_6_22·b_3_0·b_3_1 + b_2_05·b_6_22·b_3_02
       + b_2_06·b_8_0·b_8_1 + b_2_06·b_8_02 + b_2_07·b_8_0·b_3_0·b_3_1
       + b_2_07·b_8_0·b_3_02 + b_2_08·b_3_04 + b_2_08·b_12_7
       + b_2_08·b_6_2·b_3_0·b_3_1 + b_2_08·b_6_2·b_3_02 + b_2_08·b_6_22
       + b_2_010·b_8_1 + b_2_011·b_6_2 + b_8_0·c_8_2·b_12_7 + b_8_0·c_8_2·b_12_6
       + b_2_0·c_8_2·b_12_8·b_3_0·b_3_1 + b_2_0·c_8_2·b_12_8·b_3_02
       + b_2_0·c_8_2·b_12_6·b_3_0·b_3_1 + b_2_0·c_8_2·b_12_6·b_3_02
       + b_2_0·b_6_2·c_8_2·b_3_03·b_3_1 + b_2_0·b_6_2·c_8_2·b_12_7
       + b_2_0·b_6_2·c_8_2·b_12_6 + b_2_0·b_6_22·c_8_2·b_3_0·b_3_1
       + b_2_02·b_8_0·b_8_1·c_8_2 + b_2_02·b_8_02·c_8_2 + b_2_03·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_04·c_8_2·b_3_03·b_3_1 + b_2_04·c_8_2·b_12_6 + b_2_04·b_6_2·c_8_2·b_3_02
       + b_2_04·b_6_22·c_8_2 + b_2_06·b_8_1·c_8_2 + b_2_06·b_8_0·c_8_2
       + b_2_02·b_8_1·c_8_22 + b_2_03·b_6_2·c_8_22
  145. b_18_13·a_11_12
  146. b_14_13·b_15_8 + b_2_0·b_12_8·b_15_8 + b_2_0·b_12_82·b_3_0 + b_2_0·b_8_03·b_3_1
       + b_2_0·b_8_03·b_3_0 + b_2_0·b_6_2·b_12_8·b_9_1 + b_2_0·b_6_2·b_12_6·b_3_02·b_3_1
       + b_2_0·b_6_23·b_3_02·b_3_1 + b_2_0·b_6_23·b_3_03 + b_2_0·b_6_24·b_3_1
       + b_2_0·b_6_24·b_3_0 + b_2_02·b_12_8·b_13_1 + b_2_03·b_8_0·b_12_8·b_3_0
       + b_2_04·b_12_8·b_9_0 + b_2_04·b_8_0·b_13_0 + b_2_04·b_6_2·b_15_8
       + b_2_04·b_6_2·b_12_6·b_3_1 + b_2_04·b_6_2·b_12_6·b_3_0 + b_2_04·b_6_22·b_9_0
       + b_2_04·b_6_22·b_3_02·b_3_1 + b_2_04·b_6_23·b_3_1 + b_2_04·b_6_23·b_3_0
       + b_2_05·b_8_02·b_3_1 + b_2_06·b_8_0·b_3_02·b_3_1 + b_2_06·b_8_0·b_3_03
       + b_2_07·b_15_9 + b_2_07·b_15_8 + b_2_07·b_12_6·b_3_0 + b_2_07·b_6_2·b_3_03
       + b_2_07·b_6_22·b_3_0 + b_2_08·b_13_1 + b_2_09·b_8_0·b_3_1 + b_2_010·b_9_1
       + b_2_010·b_9_0 + b_2_013·b_3_0 + b_2_0·b_8_02·c_8_2·b_3_1
       + b_2_0·b_8_02·c_8_2·b_3_0 + b_2_02·b_8_0·c_8_2·b_3_03
       + b_2_03·c_8_2·b_12_8·b_3_1 + b_2_03·c_8_2·b_12_8·b_3_0
       + b_2_03·c_8_2·b_12_6·b_3_1 + b_2_03·c_8_2·b_12_6·b_3_0 + b_2_03·b_6_2·c_8_2·b_9_1
       + b_2_03·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_03·b_6_2·c_8_2·b_3_03
       + b_2_03·b_6_22·c_8_2·b_3_0 + b_2_05·b_8_0·c_8_2·b_3_0 + b_2_06·b_6_2·c_8_2·b_3_0
       + b_2_09·c_8_2·b_3_0 + b_2_02·c_8_22·b_3_02·b_3_1 + b_2_02·c_8_22·b_3_03
       + b_2_05·c_8_22·b_3_0 + b_2_0·c_8_23·b_3_0
  147. b_14_13·b_15_9 + b_2_0·b_12_8·b_15_9 + b_2_0·b_12_82·b_3_1 + b_2_0·b_8_03·b_3_0
       + b_2_0·b_6_2·b_12_8·b_9_1 + b_2_0·b_6_2·b_12_8·b_9_0 + b_2_0·b_6_22·b_15_8
       + b_2_0·b_6_22·b_12_6·b_3_1 + b_2_0·b_6_22·b_12_6·b_3_0 + b_2_0·b_6_23·b_9_1
       + b_2_02·b_12_8·b_13_1 + b_2_02·b_12_8·b_13_0 + b_2_03·b_8_0·b_12_6·b_3_1
       + b_2_03·b_8_0·b_12_6·b_3_0 + b_2_04·b_12_8·b_9_0 + b_2_04·b_12_6·b_3_02·b_3_1
       + b_2_04·b_8_0·b_13_1 + b_2_04·b_6_2·b_15_9 + b_2_04·b_6_2·b_12_6·b_3_1
       + b_2_04·b_6_2·b_12_6·b_3_0 + b_2_04·b_6_22·b_9_1 + b_2_04·b_6_23·b_3_0
       + b_2_05·b_8_02·b_3_0 + b_2_06·b_8_0·b_3_02·b_3_1 + b_2_07·b_6_2·b_3_03
       + b_2_07·b_6_22·b_3_1 + b_2_09·b_8_0·b_3_1 + b_2_010·b_9_0 + b_2_010·b_3_02·b_3_1
       + b_2_010·b_6_2·b_3_1 + b_2_013·b_3_0 + b_2_03·c_8_2·b_15_9
       + b_2_03·c_8_2·b_12_8·b_3_1 + b_2_03·c_8_2·b_12_6·b_3_1
       + b_2_03·c_8_2·b_12_6·b_3_0 + b_2_03·b_6_2·c_8_2·b_9_1 + b_2_03·b_6_2·c_8_2·b_9_0
       + b_2_03·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_03·b_6_22·c_8_2·b_3_1
       + b_2_03·b_6_22·c_8_2·b_3_0 + b_2_04·c_8_2·b_13_0 + b_2_05·b_8_0·c_8_2·b_3_1
       + b_2_06·b_6_2·c_8_2·b_3_0 + b_2_09·c_8_2·b_3_0 + b_2_05·c_8_22·b_3_1
       + b_2_0·c_8_23·b_3_1
  148. b_12_6·b_18_13 + b_12_62·b_3_0·b_3_1 + b_6_2·b_12_7·b_12_8 + b_6_2·b_12_6·b_12_8
       + b_6_2·b_12_62 + b_6_22·b_18_13 + b_6_22·b_12_8·b_3_0·b_3_1
       + b_6_22·b_12_6·b_3_0·b_3_1 + b_6_22·b_12_6·b_3_02 + b_6_23·b_3_03·b_3_1
       + b_6_23·b_12_7 + b_6_24·b_3_0·b_3_1 + b_6_24·b_3_02 + b_6_25
       + b_2_0·b_8_02·b_12_7 + b_2_0·b_8_02·b_12_6 + b_2_02·b_8_0·b_12_8·b_3_0·b_3_1
       + b_2_03·b_12_6·b_12_7 + b_2_03·b_6_2·b_12_8·b_3_0·b_3_1
       + b_2_03·b_6_2·b_12_6·b_3_02 + b_2_03·b_6_23·b_3_02 + b_2_03·b_6_24
       + b_2_04·b_8_02·b_3_0·b_3_1 + b_2_05·b_8_1·b_12_8 + b_2_06·b_18_13
       + b_2_06·b_12_8·b_3_0·b_3_1 + b_2_06·b_6_2·b_3_0·b_9_1
       + b_2_06·b_6_2·b_3_03·b_3_1 + b_2_06·b_6_2·b_12_8 + b_2_06·b_6_2·b_12_6
       + b_2_07·b_8_02 + b_2_08·b_14_13 + b_2_08·b_8_0·b_3_0·b_3_1 + b_2_09·b_3_04
       + b_2_09·b_12_8 + b_2_09·b_6_2·b_3_0·b_3_1 + b_2_011·b_8_1 + b_2_012·b_6_2
       + b_8_02·c_8_2·b_3_02 + b_2_02·c_8_2·b_12_6·b_3_0·b_3_1
       + b_2_02·b_6_2·c_8_2·b_3_03·b_3_1 + b_2_02·b_6_2·c_8_2·b_12_6
       + b_2_02·b_6_22·c_8_2·b_3_02 + b_2_02·b_6_23·c_8_2 + b_2_04·c_8_2·b_14_13
       + b_2_04·b_8_0·c_8_2·b_3_0·b_3_1 + b_2_04·b_8_0·c_8_2·b_3_02
       + b_2_05·c_8_2·b_3_0·b_9_1 + b_2_05·c_8_2·b_3_03·b_3_1 + b_2_05·c_8_2·b_3_04
       + b_2_05·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_07·b_8_1·c_8_2 + b_2_08·c_8_2·b_3_0·b_3_1
       + b_2_08·c_8_2·b_3_02 + b_2_011·c_8_2 + b_8_0·c_8_22·b_3_0·b_3_1
       + b_8_0·c_8_22·b_3_02 + b_2_0·c_8_22·b_3_0·b_9_1 + b_2_0·c_8_22·b_3_03·b_3_1
       + b_2_0·c_8_22·b_3_04 + b_2_0·c_8_22·b_12_7 + b_2_0·b_6_2·c_8_22·b_3_0·b_3_1
       + b_2_0·b_6_22·c_8_22 + b_2_03·b_8_1·c_8_22 + b_2_03·b_8_0·c_8_22
       + b_2_04·c_8_22·b_3_02 + c_8_23·b_3_0·b_3_1
  149. b_12_7·b_18_13 + b_12_62·b_3_0·b_3_1 + b_12_62·b_3_02 + b_6_2·b_12_6·b_12_8
       + b_6_2·b_12_6·b_12_7 + b_6_22·b_12_8·b_3_02 + b_6_22·b_12_6·b_3_0·b_3_1
       + b_6_22·b_12_6·b_3_02 + b_6_23·b_3_0·b_9_1 + b_6_23·b_3_03·b_3_1
       + b_6_23·b_12_8 + b_6_23·b_12_7 + b_6_24·b_3_0·b_3_1 + b_6_24·b_3_02 + b_6_25
       + b_2_02·b_8_0·b_12_6·b_3_02 + b_2_03·b_8_02·b_8_1
       + b_2_03·b_6_2·b_12_6·b_3_0·b_3_1 + b_2_03·b_6_2·b_12_6·b_3_02
       + b_2_03·b_6_22·b_3_0·b_9_1 + b_2_03·b_6_22·b_3_03·b_3_1
       + b_2_03·b_6_22·b_12_6 + b_2_03·b_6_23·b_3_0·b_3_1 + b_2_05·b_8_0·b_12_8
       + b_2_05·b_8_0·b_12_6 + b_2_06·b_18_13 + b_2_06·b_12_8·b_3_0·b_3_1
       + b_2_06·b_12_6·b_3_0·b_3_1 + b_2_06·b_6_2·b_3_0·b_9_1 + b_2_06·b_6_2·b_3_04
       + b_2_06·b_6_2·b_12_8 + b_2_06·b_6_2·b_12_6 + b_2_07·b_8_0·b_8_1 + b_2_07·b_8_02
       + b_2_08·b_14_13 + b_2_08·b_8_0·b_3_0·b_3_1 + b_2_08·b_8_0·b_3_02
       + b_2_09·b_3_0·b_9_1 + b_2_09·b_3_03·b_3_1 + b_2_09·b_3_04 + b_2_09·b_12_7
       + b_2_011·b_8_1 + b_2_011·b_8_0 + b_8_02·c_8_2·b_3_0·b_3_1
       + b_2_0·b_8_0·c_8_2·b_12_7 + b_2_02·c_8_2·b_12_6·b_3_0·b_3_1
       + b_2_02·c_8_2·b_12_6·b_3_02 + b_2_02·b_6_2·c_8_2·b_3_0·b_9_1
       + b_2_02·b_6_2·c_8_2·b_3_04 + b_2_02·b_6_2·c_8_2·b_12_8
       + b_2_02·b_6_22·c_8_2·b_3_0·b_3_1 + b_2_02·b_6_22·c_8_2·b_3_02
       + b_2_02·b_6_23·c_8_2 + b_2_04·c_8_2·b_14_13 + b_2_04·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_05·c_8_2·b_3_0·b_9_1 + b_2_05·c_8_2·b_3_03·b_3_1 + b_2_05·c_8_2·b_12_7
       + b_2_05·b_6_2·c_8_2·b_3_0·b_3_1 + b_2_07·b_8_0·c_8_2 + b_2_08·c_8_2·b_3_0·b_3_1
       + b_2_08·c_8_2·b_3_02 + b_8_0·c_8_22·b_3_0·b_3_1 + b_8_0·c_8_22·b_3_02
       + b_2_0·c_8_22·b_3_0·b_9_1 + b_2_0·c_8_22·b_3_04 + b_2_0·c_8_22·b_12_6
       + b_2_0·b_6_2·c_8_22·b_3_0·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_02
       + b_2_0·b_6_22·c_8_22 + b_2_03·b_8_1·c_8_22 + b_2_03·b_8_0·c_8_22
       + b_2_04·c_8_22·b_3_0·b_3_1 + b_2_04·b_6_2·c_8_22 + b_2_07·c_8_22
       + c_8_23·b_3_0·b_3_1 + c_8_23·b_3_02 + b_2_03·c_8_23
  150. b_15_82 + b_12_82·b_3_0·b_3_1 + b_12_82·b_3_02 + b_12_62·b_3_0·b_3_1
       + b_6_2·b_12_7·b_12_8 + b_6_2·b_12_6·b_12_8 + b_6_2·b_12_6·b_12_7 + b_6_22·b_18_13
       + b_6_22·b_12_8·b_3_0·b_3_1 + b_6_22·b_12_8·b_3_02 + b_6_23·b_3_0·b_9_1
       + b_6_23·b_12_8 + b_2_02·b_8_0·b_12_8·b_3_0·b_3_1 + b_2_02·b_8_0·b_12_6·b_3_02
       + b_2_03·b_12_6·b_12_8 + b_2_03·b_8_02·b_8_1 + b_2_03·b_8_03
       + b_2_03·b_6_2·b_18_13 + b_2_03·b_6_2·b_12_6·b_3_02 + b_2_03·b_6_22·b_3_04
       + b_2_03·b_6_22·b_12_7 + b_2_03·b_6_22·b_12_6 + b_2_03·b_6_24
       + b_2_04·b_8_02·b_3_0·b_3_1 + b_2_04·b_8_02·b_3_02 + b_2_05·b_8_1·b_12_8
       + b_2_05·b_8_0·b_12_8 + b_2_06·b_18_13 + b_2_06·b_12_8·b_3_0·b_3_1
       + b_2_06·b_6_2·b_3_0·b_9_1 + b_2_06·b_6_2·b_3_04 + b_2_06·b_6_2·b_12_8
       + b_2_06·b_6_22·b_3_0·b_3_1 + b_2_06·b_6_22·b_3_02 + b_2_06·b_6_23
       + b_2_07·b_8_0·b_8_1 + b_2_08·b_14_13 + b_2_08·b_8_0·b_3_0·b_3_1
       + b_2_09·b_3_0·b_9_1 + b_2_09·b_3_04 + b_2_09·b_12_8 + b_2_09·b_12_7
       + b_2_09·b_6_2·b_3_0·b_3_1 + b_8_02·c_8_2·b_3_0·b_3_1 + b_8_02·c_8_2·b_3_02
       + b_2_0·b_8_0·c_8_2·b_12_8 + b_2_0·b_8_0·c_8_2·b_12_7 + b_2_0·b_8_0·c_8_2·b_12_6
       + b_2_02·c_8_2·b_18_13 + b_2_02·c_8_2·b_12_8·b_3_0·b_3_1
       + b_2_02·c_8_2·b_12_8·b_3_02 + b_2_02·c_8_2·b_12_6·b_3_0·b_3_1
       + b_2_02·c_8_2·b_12_6·b_3_02 + b_2_02·b_6_2·c_8_2·b_3_03·b_3_1
       + b_2_02·b_6_2·c_8_2·b_12_8 + b_2_02·b_6_2·c_8_2·b_12_7
       + b_2_02·b_6_22·c_8_2·b_3_0·b_3_1 + b_2_02·b_6_23·c_8_2 + b_2_04·c_8_2·b_14_13
       + b_2_04·b_8_0·c_8_2·b_3_02 + b_2_05·c_8_2·b_3_0·b_9_1
       + b_2_05·c_8_2·b_3_03·b_3_1 + b_2_05·c_8_2·b_3_04 + b_2_05·c_8_2·b_12_8
       + b_2_05·c_8_2·b_12_7 + b_2_05·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_05·b_6_2·c_8_2·b_3_02 + b_2_05·b_6_22·c_8_2 + b_2_07·b_8_1·c_8_2
       + b_2_07·b_8_0·c_8_2 + b_2_08·c_8_2·b_3_02 + b_2_011·c_8_2
       + b_2_0·c_8_22·b_3_03·b_3_1 + b_2_0·b_6_2·c_8_22·b_3_02
       + b_2_04·c_8_22·b_3_0·b_3_1 + b_2_04·c_8_22·b_3_02 + b_2_04·b_6_2·c_8_22
       + b_2_07·c_8_22 + c_8_23·b_3_02 + b_2_03·c_8_23
  151. b_15_8·b_15_9 + b_12_82·b_3_02 + b_12_62·b_3_0·b_3_1 + b_12_62·b_3_02
       + b_6_2·b_12_6·b_12_8 + b_6_2·b_12_6·b_12_7 + b_6_2·b_12_62 + b_6_22·b_18_13
       + b_6_22·b_12_8·b_3_0·b_3_1 + b_6_22·b_12_6·b_3_0·b_3_1 + b_6_22·b_12_6·b_3_02
       + b_6_23·b_3_03·b_3_1 + b_6_23·b_12_7 + b_6_24·b_3_0·b_3_1 + b_6_24·b_3_02
       + b_6_25 + b_2_02·b_8_0·b_12_8·b_3_0·b_3_1 + b_2_02·b_8_0·b_12_8·b_3_02
       + b_2_02·b_8_0·b_12_6·b_3_0·b_3_1 + b_2_03·b_12_62 + b_2_03·b_8_02·b_8_1
       + b_2_03·b_6_2·b_18_13 + b_2_03·b_6_2·b_12_6·b_3_0·b_3_1
       + b_2_03·b_6_22·b_3_0·b_9_1 + b_2_03·b_6_22·b_3_04 + b_2_03·b_6_22·b_12_8
       + b_2_03·b_6_22·b_12_6 + b_2_03·b_6_24 + b_2_04·b_8_02·b_3_0·b_3_1
       + b_2_04·b_8_02·b_3_02 + b_2_05·b_8_1·b_12_8 + b_2_05·b_8_0·b_12_6
       + b_2_06·b_18_13 + b_2_06·b_12_8·b_3_0·b_3_1 + b_2_06·b_6_2·b_3_04
       + b_2_06·b_6_22·b_3_0·b_3_1 + b_2_06·b_6_23 + b_2_08·b_14_13
       + b_2_09·b_3_03·b_3_1 + b_2_09·b_12_6 + b_2_09·b_6_2·b_3_0·b_3_1 + b_2_011·b_8_0
       + b_2_012·b_6_2 + b_8_02·c_8_2·b_3_02 + b_2_0·b_8_1·c_8_2·b_12_8
       + b_2_0·b_8_0·c_8_2·b_12_7 + b_2_0·b_8_0·c_8_2·b_12_6 + b_2_02·b_6_2·c_8_2·b_12_8
       + b_2_02·b_6_22·c_8_2·b_3_0·b_3_1 + b_2_03·b_8_0·b_8_1·c_8_2
       + b_2_03·b_8_02·c_8_2 + b_2_04·b_8_0·c_8_2·b_3_0·b_3_1 + b_2_05·c_8_2·b_3_0·b_9_1
       + b_2_05·c_8_2·b_12_8 + b_2_05·c_8_2·b_12_7 + b_2_05·b_6_2·c_8_2·b_3_02
       + b_2_05·b_6_22·c_8_2 + b_2_07·b_8_1·c_8_2 + b_2_08·c_8_2·b_3_0·b_3_1
       + b_2_08·c_8_2·b_3_02 + b_2_08·b_6_2·c_8_2 + b_2_011·c_8_2
       + b_8_0·c_8_22·b_3_0·b_3_1 + b_8_0·c_8_22·b_3_02 + b_2_0·c_8_22·b_3_0·b_9_1
       + b_2_0·c_8_22·b_3_03·b_3_1 + b_2_0·c_8_22·b_3_04
       + b_2_0·b_6_2·c_8_22·b_3_0·b_3_1 + b_2_0·b_6_22·c_8_22 + b_2_03·b_8_0·c_8_22
       + b_2_04·c_8_22·b_3_0·b_3_1 + b_2_04·c_8_22·b_3_02 + b_2_04·b_6_2·c_8_22
       + b_2_07·c_8_22 + c_8_23·b_3_0·b_3_1
  152. b_15_92 + b_12_82·b_3_0·b_3_1 + b_12_62·b_3_02 + b_6_2·b_12_7·b_12_8
       + b_6_2·b_12_62 + b_6_22·b_12_8·b_3_02 + b_6_22·b_12_6·b_3_0·b_3_1
       + b_6_22·b_12_6·b_3_02 + b_6_23·b_3_0·b_9_1 + b_6_23·b_3_03·b_3_1
       + b_6_23·b_12_8 + b_6_23·b_12_7 + b_6_24·b_3_0·b_3_1 + b_6_24·b_3_02 + b_6_25
       + b_2_02·b_12_8·b_14_13 + b_2_02·b_8_0·b_12_8·b_3_02
       + b_2_02·b_8_0·b_12_6·b_3_0·b_3_1 + b_2_02·b_8_0·b_12_6·b_3_02
       + b_2_03·b_12_82 + b_2_03·b_12_62 + b_2_03·b_6_2·b_18_13
       + b_2_03·b_6_2·b_12_8·b_3_0·b_3_1 + b_2_03·b_6_2·b_12_8·b_3_02
       + b_2_03·b_6_22·b_3_04 + b_2_03·b_6_22·b_12_6 + b_2_03·b_6_24
       + b_2_04·b_8_02·b_3_02 + b_2_06·b_12_8·b_3_0·b_3_1 + b_2_06·b_12_8·b_3_02
       + b_2_06·b_12_6·b_3_0·b_3_1 + b_2_06·b_6_2·b_3_0·b_9_1 + b_2_06·b_6_22·b_3_02
       + b_2_07·b_8_02 + b_2_09·b_3_0·b_9_1 + b_2_09·b_3_03·b_3_1 + b_2_09·b_12_8
       + b_2_09·b_12_6 + b_2_09·b_6_2·b_3_0·b_3_1 + b_2_09·b_6_22 + b_2_011·b_8_1
       + b_2_011·b_8_0 + b_8_02·c_8_2·b_3_0·b_3_1 + b_2_0·b_8_1·c_8_2·b_12_8
       + b_2_0·b_8_0·c_8_2·b_12_8 + b_2_02·c_8_2·b_18_13 + b_2_02·c_8_2·b_12_8·b_3_0·b_3_1
       + b_2_02·c_8_2·b_12_6·b_3_02 + b_2_02·b_6_2·c_8_2·b_3_03·b_3_1
       + b_2_02·b_6_23·c_8_2 + b_2_03·b_8_0·b_8_1·c_8_2 + b_2_04·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_05·c_8_2·b_3_03·b_3_1 + b_2_05·c_8_2·b_3_04 + b_2_05·c_8_2·b_12_6
       + b_2_05·b_6_2·c_8_2·b_3_02 + b_2_07·b_8_1·c_8_2 + b_2_08·c_8_2·b_3_02
       + b_8_0·c_8_22·b_3_0·b_3_1 + b_8_0·c_8_22·b_3_02 + b_2_0·c_8_22·b_3_0·b_9_1
       + b_2_0·c_8_22·b_3_04 + b_2_0·b_6_2·c_8_22·b_3_0·b_3_1
       + b_2_0·b_6_2·c_8_22·b_3_02 + b_2_0·b_6_22·c_8_22 + b_2_03·b_8_1·c_8_22
       + b_2_04·c_8_22·b_3_0·b_3_1 + b_2_04·b_6_2·c_8_22 + c_8_23·b_3_0·b_3_1
       + c_8_23·b_3_02
  153. b_18_13·b_13_0 + b_8_02·b_12_6·b_3_1 + b_8_02·b_12_6·b_3_0
       + b_2_0·b_8_0·b_12_6·b_3_02·b_3_1 + b_2_0·b_8_02·b_13_1 + b_2_0·b_8_02·b_13_0
       + b_2_02·b_12_8·b_15_8 + b_2_02·b_12_82·b_3_0 + b_2_02·b_8_03·b_3_1
       + b_2_02·b_6_2·b_12_8·b_9_1 + b_2_02·b_6_2·b_12_8·b_9_0
       + b_2_02·b_6_2·b_12_6·b_3_02·b_3_1 + b_2_02·b_6_22·b_15_9
       + b_2_02·b_6_22·b_12_8·b_3_0 + b_2_02·b_6_22·b_12_6·b_3_1 + b_2_02·b_6_23·b_9_1
       + b_2_02·b_6_23·b_9_0 + b_2_02·b_6_23·b_3_03 + b_2_02·b_6_24·b_3_1
       + b_2_02·b_6_24·b_3_0 + b_2_03·b_12_8·b_13_1 + b_2_03·b_8_02·b_3_02·b_3_1
       + b_2_03·b_8_02·b_3_03 + b_2_04·b_8_0·b_12_8·b_3_1 + b_2_04·b_8_0·b_12_8·b_3_0
       + b_2_04·b_8_0·b_12_6·b_3_0 + b_2_05·b_12_8·b_9_1 + b_2_05·b_12_8·b_9_0
       + b_2_05·b_12_6·b_3_02·b_3_1 + b_2_05·b_8_0·b_13_0 + b_2_05·b_6_2·b_15_9
       + b_2_05·b_6_2·b_12_8·b_3_1 + b_2_05·b_6_2·b_12_8·b_3_0
       + b_2_05·b_6_2·b_12_6·b_3_0 + b_2_05·b_6_22·b_9_1 + b_2_05·b_6_22·b_9_0
       + b_2_05·b_6_23·b_3_1 + b_2_07·b_8_0·b_3_02·b_3_1 + b_2_07·b_8_0·b_3_03
       + b_2_08·b_15_9 + b_2_08·b_15_8 + b_2_08·b_12_8·b_3_0 + b_2_08·b_12_6·b_3_0
       + b_2_08·b_6_2·b_9_0 + b_2_09·b_13_1 + b_2_09·b_13_0 + b_2_010·b_8_0·b_3_0
       + b_2_011·b_9_1 + b_2_011·b_9_0 + b_2_011·b_3_02·b_3_1 + b_2_011·b_3_03
       + b_2_011·b_6_2·b_3_0 + b_2_014·b_3_0 + b_8_0·c_8_2·b_12_8·b_3_1
       + b_8_0·c_8_2·b_12_8·b_3_0 + b_8_0·c_8_2·b_12_6·b_3_1 + b_8_0·c_8_2·b_12_6·b_3_0
       + b_2_0·c_8_2·b_12_8·b_9_1 + b_2_0·c_8_2·b_12_8·b_9_0
       + b_2_0·c_8_2·b_12_6·b_3_02·b_3_1 + b_2_0·b_8_0·c_8_2·b_13_0
       + b_2_0·b_6_2·c_8_2·b_12_8·b_3_1 + b_2_0·b_6_2·c_8_2·b_12_6·b_3_1
       + b_2_0·b_6_22·c_8_2·b_9_1 + b_2_0·b_6_22·c_8_2·b_9_0
       + b_2_0·b_6_22·c_8_2·b_3_02·b_3_1 + b_2_0·b_6_22·c_8_2·b_3_03
       + b_2_0·b_6_23·c_8_2·b_3_0 + b_2_02·b_8_02·c_8_2·b_3_1
       + b_2_02·b_8_02·c_8_2·b_3_0 + b_2_03·b_8_0·c_8_2·b_3_03 + b_2_04·c_8_2·b_15_8
       + b_2_04·c_8_2·b_12_8·b_3_1 + b_2_04·c_8_2·b_12_6·b_3_0 + b_2_04·b_6_2·c_8_2·b_9_1
       + b_2_04·b_6_2·c_8_2·b_9_0 + b_2_04·b_6_2·c_8_2·b_3_02·b_3_1
       + b_2_05·c_8_2·b_13_1 + b_2_06·b_8_0·c_8_2·b_3_0 + b_2_07·c_8_2·b_9_1
       + b_2_07·c_8_2·b_9_0 + b_2_07·c_8_2·b_3_02·b_3_1 + b_2_07·c_8_2·b_3_03
       + b_2_07·b_6_2·c_8_2·b_3_1 + b_2_07·b_6_2·c_8_2·b_3_0 + b_2_010·c_8_2·b_3_1
       + b_2_010·c_8_2·b_3_0 + c_8_22·b_12_6·b_3_0 + b_2_0·c_8_22·b_13_1
       + b_2_02·b_8_0·c_8_22·b_3_1 + b_2_02·b_8_0·c_8_22·b_3_0 + b_2_03·c_8_22·b_9_1
       + b_2_03·c_8_22·b_3_02·b_3_1 + b_2_03·c_8_22·b_3_03
       + b_2_03·b_6_2·c_8_22·b_3_1 + b_2_03·b_6_2·c_8_22·b_3_0 + b_2_06·c_8_22·b_3_1
  154. b_18_13·b_13_1 + b_8_02·b_12_6·b_3_0 + b_2_0·b_8_0·b_12_6·b_3_03
       + b_2_0·b_8_02·b_13_0 + b_2_02·b_12_82·b_3_0 + b_2_02·b_12_62·b_3_1
       + b_2_02·b_8_03·b_3_1 + b_2_02·b_8_03·b_3_0 + b_2_02·b_6_2·b_12_8·b_9_1
       + b_2_02·b_6_2·b_12_8·b_9_0 + b_2_02·b_6_2·b_12_6·b_3_02·b_3_1
       + b_2_02·b_6_2·b_12_6·b_3_03 + b_2_02·b_6_22·b_15_8
       + b_2_02·b_6_22·b_12_6·b_3_1 + b_2_02·b_6_22·b_12_6·b_3_0 + b_2_02·b_6_23·b_9_1
       + b_2_02·b_6_23·b_9_0 + b_2_02·b_6_23·b_3_02·b_3_1 + b_2_02·b_6_23·b_3_03
       + b_2_02·b_6_24·b_3_0 + b_2_03·b_12_8·b_13_0 + b_2_04·b_8_0·b_12_8·b_3_1
       + b_2_04·b_8_0·b_12_8·b_3_0 + b_2_04·b_8_0·b_12_6·b_3_0 + b_2_05·b_8_0·b_13_0
       + b_2_05·b_6_2·b_15_9 + b_2_05·b_6_2·b_15_8 + b_2_05·b_6_2·b_12_8·b_3_1
       + b_2_05·b_6_2·b_12_8·b_3_0 + b_2_05·b_6_2·b_12_6·b_3_1
       + b_2_05·b_6_22·b_3_02·b_3_1 + b_2_05·b_6_22·b_3_03 + b_2_05·b_6_23·b_3_0
       + b_2_06·b_8_02·b_3_0 + b_2_08·b_12_8·b_3_1 + b_2_08·b_12_6·b_3_1
       + b_2_08·b_12_6·b_3_0 + b_2_08·b_6_2·b_9_0 + b_2_08·b_6_2·b_3_02·b_3_1
       + b_2_08·b_6_22·b_3_0 + b_2_09·b_13_1 + b_2_010·b_8_0·b_3_0 + b_2_011·b_9_1
       + b_2_011·b_9_0 + b_2_011·b_3_02·b_3_1 + b_2_011·b_3_03 + b_2_011·b_6_2·b_3_0
       + b_2_014·b_3_0 + b_8_0·c_8_2·b_12_8·b_3_0 + b_8_0·c_8_2·b_12_6·b_3_0
       + b_2_0·c_8_2·b_12_8·b_9_0 + b_2_0·c_8_2·b_12_6·b_3_03 + b_2_0·b_8_0·c_8_2·b_13_0
       + b_2_0·b_6_2·c_8_2·b_15_9 + b_2_0·b_6_2·c_8_2·b_15_8
       + b_2_0·b_6_2·c_8_2·b_12_8·b_3_1 + b_2_0·b_6_2·c_8_2·b_12_6·b_3_0
       + b_2_0·b_6_22·c_8_2·b_9_1 + b_2_0·b_6_22·c_8_2·b_9_0
       + b_2_0·b_6_22·c_8_2·b_3_02·b_3_1 + b_2_0·b_6_22·c_8_2·b_3_03
       + b_2_0·b_6_23·c_8_2·b_3_0 + b_2_02·b_8_02·c_8_2·b_3_1
       + b_2_02·b_8_02·c_8_2·b_3_0 + b_2_03·b_8_0·c_8_2·b_3_03 + b_2_04·c_8_2·b_15_9
       + b_2_04·c_8_2·b_15_8 + b_2_04·c_8_2·b_12_8·b_3_1 + b_2_04·c_8_2·b_12_6·b_3_1
       + b_2_04·c_8_2·b_12_6·b_3_0 + b_2_04·b_6_2·c_8_2·b_9_1
       + b_2_04·b_6_2·c_8_2·b_3_02·b_3_1 + b_2_04·b_6_2·c_8_2·b_3_03
       + b_2_04·b_6_22·c_8_2·b_3_1 + b_2_04·b_6_22·c_8_2·b_3_0 + b_2_05·c_8_2·b_13_1
       + b_2_05·c_8_2·b_13_0 + b_2_06·b_8_0·c_8_2·b_3_0 + b_2_07·c_8_2·b_9_1
       + b_2_07·c_8_2·b_9_0 + b_2_07·c_8_2·b_3_02·b_3_1 + b_2_010·c_8_2·b_3_1
       + c_8_22·b_12_6·b_3_1 + b_2_0·c_8_22·b_13_1 + b_2_0·c_8_22·b_13_0
       + b_2_02·b_8_0·c_8_22·b_3_1 + b_2_02·b_8_0·c_8_22·b_3_0 + b_2_03·c_8_22·b_9_1
       + b_2_03·b_6_2·c_8_22·b_3_1 + b_2_03·b_6_2·c_8_22·b_3_0 + b_2_06·c_8_22·b_3_0
       + b_2_02·c_8_23·b_3_1 + b_2_02·c_8_23·b_3_0
  155. b_14_13·b_18_13 + b_2_0·b_12_8·b_18_13 + b_2_0·b_12_62·b_3_0·b_3_1
       + b_2_0·b_8_03·b_3_02 + b_2_0·b_6_2·b_12_82 + b_2_0·b_6_2·b_12_7·b_12_8
       + b_2_0·b_6_2·b_12_6·b_12_8 + b_2_0·b_6_2·b_12_62 + b_2_0·b_6_22·b_18_13
       + b_2_0·b_6_22·b_12_8·b_3_0·b_3_1 + b_2_0·b_6_22·b_12_6·b_3_0·b_3_1
       + b_2_0·b_6_23·b_3_03·b_3_1 + b_2_0·b_6_23·b_12_7 + b_2_0·b_6_23·b_12_6
       + b_2_0·b_6_24·b_3_0·b_3_1 + b_2_0·b_6_24·b_3_02 + b_2_0·b_6_25
       + b_2_02·b_8_02·b_12_8 + b_2_03·b_12_8·b_14_13 + b_2_03·b_8_0·b_12_8·b_3_0·b_3_1
       + b_2_03·b_8_0·b_12_6·b_3_0·b_3_1 + b_2_04·b_12_82 + b_2_04·b_12_7·b_12_8
       + b_2_04·b_12_6·b_12_8 + b_2_04·b_12_6·b_12_7 + b_2_04·b_12_62
       + b_2_04·b_6_2·b_18_13 + b_2_04·b_6_2·b_12_8·b_3_02
       + b_2_04·b_6_2·b_12_6·b_3_0·b_3_1 + b_2_04·b_6_22·b_3_03·b_3_1
       + b_2_04·b_6_23·b_3_0·b_3_1 + b_2_04·b_6_23·b_3_02 + b_2_06·b_8_1·b_12_8
       + b_2_06·b_8_0·b_12_7 + b_2_06·b_8_0·b_12_6 + b_2_07·b_18_13
       + b_2_07·b_12_6·b_3_02 + b_2_07·b_6_2·b_3_0·b_9_1 + b_2_07·b_6_2·b_12_6
       + b_2_08·b_8_0·b_8_1 + b_2_08·b_8_02 + b_2_09·b_14_13 + b_2_09·b_8_0·b_3_02
       + b_2_010·b_3_0·b_9_1 + b_2_010·b_3_03·b_3_1 + b_2_010·b_3_04
       + b_2_010·b_6_2·b_3_0·b_3_1 + b_2_012·b_8_0 + b_2_013·b_6_2
       + b_2_0·b_8_02·c_8_2·b_3_0·b_3_1 + b_2_02·b_8_1·c_8_2·b_12_8
       + b_2_02·b_8_0·c_8_2·b_12_7 + b_2_02·b_8_0·c_8_2·b_12_6
       + b_2_03·c_8_2·b_12_8·b_3_02 + b_2_03·b_6_2·c_8_2·b_3_0·b_9_1
       + b_2_03·b_6_2·c_8_2·b_12_7 + b_2_03·b_6_22·c_8_2·b_3_02 + b_2_03·b_6_23·c_8_2
       + b_2_05·c_8_2·b_14_13 + b_2_05·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_05·b_8_0·c_8_2·b_3_02 + b_2_06·c_8_2·b_3_03·b_3_1 + b_2_06·c_8_2·b_12_7
       + b_2_06·b_6_2·c_8_2·b_3_02 + b_2_06·b_6_22·c_8_2 + b_2_08·b_8_1·c_8_2
       + b_2_08·b_8_0·c_8_2 + b_2_09·c_8_2·b_3_0·b_3_1 + b_2_02·c_8_22·b_3_03·b_3_1
       + b_2_02·c_8_22·b_12_6 + b_2_04·b_8_1·c_8_22 + b_2_05·c_8_22·b_3_0·b_3_1
       + b_2_05·b_6_2·c_8_22 + b_2_08·c_8_22 + b_2_0·c_8_23·b_3_0·b_3_1
       + b_2_0·b_6_2·c_8_23 + b_2_04·c_8_23
  156. b_18_13·b_15_8 + b_12_62·b_3_02·b_3_1 + b_12_62·b_3_03 + b_8_03·b_3_02·b_3_1
       + b_8_03·b_3_03 + b_6_2·b_12_8·b_15_8 + b_6_2·b_12_82·b_3_0 + b_6_2·b_12_62·b_3_0
       + b_6_22·b_12_8·b_9_1 + b_6_22·b_12_8·b_9_0 + b_6_22·b_12_6·b_3_02·b_3_1
       + b_6_22·b_12_6·b_3_03 + b_6_23·b_15_9 + b_6_23·b_12_8·b_3_0 + b_6_24·b_9_1
       + b_2_0·b_8_02·b_12_8·b_3_1 + b_2_0·b_8_02·b_12_8·b_3_0
       + b_2_02·b_8_0·b_12_6·b_3_02·b_3_1 + b_2_02·b_8_0·b_12_6·b_3_03
       + b_2_02·b_8_02·b_13_1 + b_2_03·b_12_8·b_15_8 + b_2_03·b_12_82·b_3_1
       + b_2_03·b_12_62·b_3_0 + b_2_03·b_8_03·b_3_1 + b_2_03·b_8_03·b_3_0
       + b_2_03·b_6_2·b_12_8·b_9_0 + b_2_03·b_6_2·b_12_6·b_3_02·b_3_1
       + b_2_03·b_6_2·b_12_6·b_3_03 + b_2_03·b_6_22·b_15_9
       + b_2_03·b_6_22·b_12_8·b_3_1 + b_2_03·b_6_22·b_12_8·b_3_0 + b_2_03·b_6_23·b_9_1
       + b_2_03·b_6_23·b_3_03 + b_2_03·b_6_24·b_3_1 + b_2_04·b_12_8·b_13_0
       + b_2_05·b_8_0·b_12_8·b_3_1 + b_2_05·b_8_0·b_12_8·b_3_0
       + b_2_05·b_8_0·b_12_6·b_3_1 + b_2_06·b_12_8·b_9_1 + b_2_06·b_12_6·b_3_02·b_3_1
       + b_2_06·b_6_2·b_15_8 + b_2_06·b_6_2·b_12_8·b_3_1 + b_2_06·b_6_2·b_12_8·b_3_0
       + b_2_06·b_6_2·b_12_6·b_3_0 + b_2_06·b_6_22·b_9_0 + b_2_06·b_6_22·b_3_02·b_3_1
       + b_2_06·b_6_22·b_3_03 + b_2_06·b_6_23·b_3_1 + b_2_08·b_8_0·b_3_03
       + b_2_09·b_15_9 + b_2_09·b_15_8 + b_2_09·b_12_8·b_3_0 + b_2_09·b_12_6·b_3_0
       + b_2_09·b_6_2·b_9_1 + b_2_010·b_13_1 + b_2_011·b_8_0·b_3_1 + b_2_012·b_9_1
       + b_2_012·b_9_0 + b_2_015·b_3_0 + b_8_02·c_8_2·b_3_02·b_3_1
       + b_2_0·b_8_0·c_8_2·b_12_6·b_3_1 + b_2_0·b_8_0·c_8_2·b_12_6·b_3_0
       + b_2_02·c_8_2·b_12_8·b_9_1 + b_2_02·c_8_2·b_12_8·b_9_0
       + b_2_02·c_8_2·b_12_6·b_3_02·b_3_1 + b_2_02·b_6_2·c_8_2·b_12_8·b_3_1
       + b_2_02·b_6_2·c_8_2·b_12_8·b_3_0 + b_2_02·b_6_2·c_8_2·b_12_6·b_3_1
       + b_2_02·b_6_2·c_8_2·b_12_6·b_3_0 + b_2_02·b_6_22·c_8_2·b_9_0
       + b_2_02·b_6_22·c_8_2·b_3_03 + b_2_02·b_6_23·c_8_2·b_3_1
       + b_2_02·b_6_23·c_8_2·b_3_0 + b_2_03·b_8_02·c_8_2·b_3_0
       + b_2_04·b_8_0·c_8_2·b_3_03 + b_2_05·c_8_2·b_15_8 + b_2_05·c_8_2·b_12_6·b_3_0
       + b_2_05·b_6_2·c_8_2·b_9_0 + b_2_05·b_6_2·c_8_2·b_3_02·b_3_1
       + b_2_05·b_6_2·c_8_2·b_3_03 + b_2_06·c_8_2·b_13_1 + b_2_06·c_8_2·b_13_0
       + b_2_07·b_8_0·c_8_2·b_3_0 + b_2_08·c_8_2·b_9_1 + b_2_08·c_8_2·b_9_0
       + b_2_08·c_8_2·b_3_02·b_3_1 + b_2_08·b_6_2·c_8_2·b_3_0 + b_2_011·c_8_2·b_3_0
       + b_8_0·c_8_22·b_3_02·b_3_1 + b_8_0·c_8_22·b_3_03 + b_2_0·b_6_2·c_8_22·b_9_1
       + b_2_0·b_6_2·c_8_22·b_3_02·b_3_1 + b_2_0·b_6_22·c_8_22·b_3_0
       + b_2_02·c_8_22·b_13_1 + b_2_03·b_8_0·c_8_22·b_3_1 + b_2_03·b_8_0·c_8_22·b_3_0
       + b_2_04·c_8_22·b_9_0 + b_2_04·c_8_22·b_3_03 + b_2_07·c_8_22·b_3_1
       + b_2_07·c_8_22·b_3_0 + c_8_23·b_3_02·b_3_1 + b_6_2·c_8_23·b_3_0
       + b_2_03·c_8_23·b_3_1 + b_2_03·c_8_23·b_3_0
  157. b_18_13·b_15_9 + b_12_62·b_3_03 + b_8_03·b_3_03 + b_6_2·b_12_8·b_15_9
       + b_6_2·b_12_82·b_3_1 + b_6_2·b_12_62·b_3_1 + b_6_22·b_12_8·b_9_0
       + b_6_22·b_12_6·b_3_02·b_3_1 + b_6_22·b_12_6·b_3_03 + b_6_23·b_12_8·b_3_1
       + b_6_23·b_12_6·b_3_1 + b_6_24·b_9_1 + b_6_24·b_3_02·b_3_1 + b_6_24·b_3_03
       + b_6_25·b_3_1 + b_6_25·b_3_0 + b_2_0·b_8_02·b_12_8·b_3_0
       + b_2_02·b_8_0·b_12_6·b_3_03 + b_2_02·b_8_02·b_13_1 + b_2_02·b_8_02·b_13_0
       + b_2_03·b_12_8·b_15_8 + b_2_03·b_12_82·b_3_1 + b_2_03·b_12_62·b_3_0
       + b_2_03·b_8_03·b_3_0 + b_2_03·b_6_2·b_12_8·b_9_1 + b_2_03·b_6_2·b_12_8·b_9_0
       + b_2_03·b_6_2·b_12_6·b_3_03 + b_2_03·b_6_22·b_12_8·b_3_0
       + b_2_03·b_6_22·b_12_6·b_3_1 + b_2_03·b_6_23·b_9_1 + b_2_03·b_6_23·b_9_0
       + b_2_03·b_6_23·b_3_02·b_3_1 + b_2_03·b_6_23·b_3_03 + b_2_04·b_12_8·b_13_1
       + b_2_04·b_8_02·b_3_02·b_3_1 + b_2_04·b_8_02·b_3_03
       + b_2_05·b_8_0·b_12_8·b_3_1 + b_2_05·b_8_0·b_12_8·b_3_0
       + b_2_05·b_8_0·b_12_6·b_3_0 + b_2_06·b_12_8·b_9_0 + b_2_06·b_6_2·b_12_6·b_3_1
       + b_2_06·b_6_22·b_9_1 + b_2_06·b_6_22·b_3_02·b_3_1 + b_2_06·b_6_23·b_3_0
       + b_2_07·b_8_02·b_3_1 + b_2_09·b_15_9 + b_2_09·b_12_8·b_3_1 + b_2_09·b_6_2·b_9_0
       + b_2_09·b_6_2·b_3_02·b_3_1 + b_2_09·b_6_2·b_3_03 + b_2_09·b_6_22·b_3_1
       + b_2_09·b_6_22·b_3_0 + b_2_010·b_13_1 + b_2_011·b_8_0·b_3_1 + b_2_011·b_8_0·b_3_0
       + b_2_012·b_6_2·b_3_1 + b_8_02·c_8_2·b_3_02·b_3_1 + b_8_02·c_8_2·b_3_03
       + b_2_0·b_8_0·c_8_2·b_12_6·b_3_0 + b_2_02·c_8_2·b_12_8·b_9_0
       + b_2_02·b_8_0·c_8_2·b_13_1 + b_2_02·b_6_2·c_8_2·b_15_9
       + b_2_02·b_6_2·c_8_2·b_15_8 + b_2_02·b_6_2·c_8_2·b_12_8·b_3_1
       + b_2_02·b_6_2·c_8_2·b_12_6·b_3_0 + b_2_02·b_6_22·c_8_2·b_9_1
       + b_2_02·b_6_22·c_8_2·b_9_0 + b_2_02·b_6_23·c_8_2·b_3_0
       + b_2_03·b_8_02·c_8_2·b_3_1 + b_2_05·c_8_2·b_12_8·b_3_1
       + b_2_05·c_8_2·b_12_6·b_3_1 + b_2_05·c_8_2·b_12_6·b_3_0 + b_2_05·b_6_2·c_8_2·b_9_1
       + b_2_05·b_6_2·c_8_2·b_9_0 + b_2_05·b_6_2·c_8_2·b_3_02·b_3_1
       + b_2_05·b_6_2·c_8_2·b_3_03 + b_2_05·b_6_22·c_8_2·b_3_1 + b_2_06·c_8_2·b_13_1
       + b_2_07·b_8_0·c_8_2·b_3_0 + b_2_08·c_8_2·b_9_0 + b_2_011·c_8_2·b_3_0
       + b_8_0·c_8_22·b_3_02·b_3_1 + b_2_0·c_8_22·b_12_6·b_3_0
       + b_2_0·b_6_2·c_8_22·b_9_0 + b_2_0·b_6_2·c_8_22·b_3_02·b_3_1
       + b_2_02·c_8_22·b_13_0 + b_2_04·c_8_22·b_9_1 + b_2_04·c_8_22·b_9_0
       + b_2_04·b_6_2·c_8_22·b_3_0 + b_2_07·c_8_22·b_3_1 + c_8_23·b_3_02·b_3_1
       + c_8_23·b_3_03 + b_6_2·c_8_23·b_3_1
  158. b_18_132 + b_12_62·b_12_7 + b_12_63 + b_6_2·b_12_8·b_18_13
       + b_6_2·b_12_62·b_3_02 + b_6_22·b_12_82 + b_6_22·b_12_7·b_12_8
       + b_6_23·b_12_8·b_3_02 + b_6_23·b_12_6·b_3_0·b_3_1 + b_6_23·b_12_6·b_3_02
       + b_6_24·b_3_0·b_9_1 + b_6_24·b_3_03·b_3_1 + b_6_24·b_12_8 + b_6_24·b_12_7
       + b_6_25·b_3_0·b_3_1 + b_6_25·b_3_02 + b_6_26 + b_2_0·b_8_02·b_12_6·b_3_02
       + b_2_02·b_8_0·b_12_6·b_12_7 + b_2_02·b_8_03·b_8_1 + b_2_03·b_12_8·b_18_13
       + b_2_03·b_12_62·b_3_02 + b_2_03·b_6_2·b_12_82 + b_2_03·b_6_2·b_12_7·b_12_8
       + b_2_03·b_6_22·b_12_6·b_3_0·b_3_1 + b_2_03·b_6_22·b_12_6·b_3_02
       + b_2_03·b_6_23·b_3_0·b_9_1 + b_2_03·b_6_23·b_3_04 + b_2_03·b_6_23·b_12_7
       + b_2_03·b_6_23·b_12_6 + b_2_03·b_6_24·b_3_02 + b_2_04·b_8_0·b_8_1·b_12_8
       + b_2_04·b_8_02·b_12_8 + b_2_04·b_8_02·b_12_7 + b_2_04·b_8_02·b_12_6
       + b_2_05·b_8_0·b_12_8·b_3_0·b_3_1 + b_2_05·b_8_0·b_12_6·b_3_0·b_3_1
       + b_2_05·b_8_0·b_12_6·b_3_02 + b_2_06·b_12_7·b_12_8 + b_2_06·b_6_2·b_18_13
       + b_2_06·b_6_2·b_12_8·b_3_0·b_3_1 + b_2_06·b_6_2·b_12_8·b_3_02
       + b_2_06·b_6_2·b_12_6·b_3_0·b_3_1 + b_2_06·b_6_22·b_3_03·b_3_1
       + b_2_06·b_6_22·b_12_8 + b_2_06·b_6_23·b_3_0·b_3_1 + b_2_06·b_6_23·b_3_02
       + b_2_07·b_8_02·b_3_0·b_3_1 + b_2_08·b_8_0·b_12_6 + b_2_09·b_12_8·b_3_0·b_3_1
       + b_2_09·b_6_2·b_3_0·b_9_1 + b_2_09·b_6_2·b_3_04 + b_2_09·b_6_2·b_12_6
       + b_2_09·b_6_22·b_3_0·b_3_1 + b_2_09·b_6_22·b_3_02 + b_2_010·b_8_02
       + b_2_011·b_8_0·b_3_0·b_3_1 + b_2_012·b_3_0·b_9_1 + b_2_012·b_12_6
       + b_2_012·b_6_2·b_3_0·b_3_1 + b_2_012·b_6_2·b_3_02 + b_8_02·c_8_2·b_12_7
       + b_2_0·b_8_0·c_8_2·b_12_6·b_3_02 + b_2_02·c_8_2·b_12_6·b_12_8
       + b_2_02·c_8_2·b_12_62 + b_2_02·b_8_03·c_8_2
       + b_2_02·b_6_2·c_8_2·b_12_8·b_3_02 + b_2_02·b_6_2·c_8_2·b_12_6·b_3_02
       + b_2_02·b_6_22·c_8_2·b_3_04 + b_2_02·b_6_22·c_8_2·b_12_7
       + b_2_03·b_8_02·c_8_2·b_3_0·b_3_1 + b_2_03·b_8_02·c_8_2·b_3_02
       + b_2_04·b_8_1·c_8_2·b_12_8 + b_2_05·c_8_2·b_18_13
       + b_2_05·c_8_2·b_12_8·b_3_0·b_3_1 + b_2_05·c_8_2·b_12_8·b_3_02
       + b_2_05·c_8_2·b_12_6·b_3_0·b_3_1 + b_2_05·c_8_2·b_12_6·b_3_02
       + b_2_05·b_6_2·c_8_2·b_3_0·b_9_1 + b_2_05·b_6_2·c_8_2·b_3_03·b_3_1
       + b_2_05·b_6_2·c_8_2·b_3_04 + b_2_05·b_6_2·c_8_2·b_12_8
       + b_2_05·b_6_2·c_8_2·b_12_6 + b_2_05·b_6_22·c_8_2·b_3_02
       + b_2_06·b_8_0·b_8_1·c_8_2 + b_2_07·b_8_0·c_8_2·b_3_0·b_3_1
       + b_2_07·b_8_0·c_8_2·b_3_02 + b_2_08·c_8_2·b_3_03·b_3_1 + b_2_08·c_8_2·b_12_8
       + b_2_08·c_8_2·b_12_7 + b_2_08·c_8_2·b_12_6 + b_2_08·b_6_2·c_8_2·b_3_0·b_3_1
       + b_2_08·b_6_2·c_8_2·b_3_02 + b_2_010·b_8_1·c_8_2 + b_2_010·b_8_0·c_8_2
       + b_2_011·c_8_2·b_3_02 + b_2_011·b_6_2·c_8_2 + b_8_0·c_8_22·b_12_7
       + b_2_0·c_8_22·b_18_13 + b_2_0·c_8_22·b_12_8·b_3_0·b_3_1
       + b_2_0·c_8_22·b_12_8·b_3_02 + b_2_0·b_6_2·c_8_22·b_3_0·b_9_1
       + b_2_0·b_6_2·c_8_22·b_12_7 + b_2_0·b_6_2·c_8_22·b_12_6
       + b_2_02·b_8_0·b_8_1·c_8_22 + b_2_02·b_8_02·c_8_22
       + b_2_03·b_8_0·c_8_22·b_3_0·b_3_1 + b_2_03·b_8_0·c_8_22·b_3_02
       + b_2_04·c_8_22·b_3_0·b_9_1 + b_2_04·c_8_22·b_3_04 + b_2_04·c_8_22·b_12_6
       + b_2_04·b_6_2·c_8_22·b_3_02 + b_2_04·b_6_22·c_8_22 + b_2_07·b_6_2·c_8_22
       + c_8_23·b_3_0·b_9_1 + c_8_23·b_3_03·b_3_1 + c_8_23·b_3_04
       + b_2_02·b_8_1·c_8_23 + b_2_03·c_8_23·b_3_0·b_3_1 + b_2_06·c_8_23


About the group Ring generators Ring relations Completion information Restriction maps

Data used for the Hilbert-Poincaré test

  • We proved completion in degree 36 using the Hilbert-Poincaré criterion.
  • 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. b_2_04 + c_8_2, an element of degree 8
    2. b_3_03·b_3_1 + b_12_8 + b_6_2·b_3_0·b_3_1 + b_6_2·b_3_02 + b_2_02·b_8_1
         + b_2_02·b_8_0, an element of degree 12
    3. b_2_0·b_3_03·b_3_1 + b_2_0·b_3_04 + b_2_0·b_12_8 + b_2_0·b_6_2·b_3_0·b_3_1
         + b_2_0·b_6_2·b_3_02 + b_2_03·b_8_1 + b_2_03·b_8_0 + c_8_2·b_3_02 + b_2_03·c_8_2, an element of degree 14
    4. b_3_0, an element of degree 3
  • A Duflot regular sequence is given by c_8_2.
  • The Raw Filter Degree Type of the filter regular HSOP is [-1, -1, 11, 26, 33].
  • Modifying the above filter regular HSOP, we obtained the following parameters:
    1. b_2_04 + c_8_2, an element of degree 8
    2. b_3_03·b_3_1 + b_12_8 + b_6_2·b_3_0·b_3_1 + b_6_2·b_3_02 + b_2_02·b_8_1
         + b_2_02·b_8_0, an element of degree 12
    3. b_2_0, an element of degree 2
    4. b_3_0, an element of degree 3


About the group Ring generators Ring relations Completion information Restriction maps

Restriction maps

Expressing the generators as elements of H*(SmallGroup(1920,241004); GF(2))

  1. b_2_0b_2_0
  2. b_3_1b_3_0 + a_3_2
  3. b_3_0b_3_1
  4. a_5_2a_5_4
  5. b_6_2b_6_1 + b_6_0
  6. a_7_2a_7_10 + b_4_0·a_3_2
  7. c_8_2b_4_1·b_4_3 + b_4_0·b_4_3 + c_8_2
  8. b_8_1b_8_0 + b_4_1·b_4_3 + b_4_12 + b_4_02
  9. b_8_0b_8_1 + b_8_0 + b_4_0·b_4_1 + b_2_0·b_6_0
  10. b_9_1b_9_0 + b_4_0·b_5_1 + b_2_0·b_7_0 + b_2_0·b_4_1·b_3_1 + b_2_0·b_4_0·b_3_1
       + b_2_0·b_4_0·b_3_0 + b_2_02·b_5_0 + b_4_0·a_5_4
  11. b_9_0b_9_1 + b_2_0·b_7_4 + b_2_0·b_4_1·b_3_1 + b_2_0·b_4_1·b_3_0 + b_2_0·b_4_0·b_3_1
       + b_2_02·b_5_1
  12. a_11_12b_4_0·a_7_10 + b_4_02·a_3_2 + c_8_2·a_3_2
  13. b_12_8b_4_02·b_4_3 + b_4_02·b_4_1 + b_4_03 + b_2_0·b_4_1·b_3_0·b_3_1
       + b_2_0·b_4_1·b_3_02 + b_2_0·b_4_1·b_6_0 + b_2_02·b_4_12 + b_2_02·b_4_0·b_4_1
       + b_2_02·b_4_02 + b_2_04·b_4_1 + b_4_3·c_8_2 + b_2_02·c_8_2
  14. b_12_7b_4_0·b_8_0 + b_4_0·b_4_12 + b_4_02·b_4_1 + b_4_03 + b_2_0·b_4_1·b_3_0·b_3_1
       + b_2_0·b_4_1·b_3_02 + b_2_0·b_4_1·b_6_0 + b_2_0·b_4_0·b_6_1 + b_2_0·b_4_0·b_6_0
       + b_2_02·b_4_12 + b_2_02·b_4_0·b_4_1 + b_2_02·b_4_02 + b_2_04·b_4_1 + b_4_3·c_8_2
       + b_4_0·c_8_2 + b_2_02·c_8_2
  15. b_12_6b_4_0·b_8_1 + b_4_03 + b_2_0·b_10_15 + b_2_0·b_4_1·b_3_0·b_3_1 + b_2_0·b_4_1·b_3_02
       + b_2_0·b_4_0·b_3_0·b_3_1 + b_2_0·b_4_0·b_6_0 + b_2_02·b_4_02 + b_2_04·b_4_1
       + b_4_3·c_8_2 + b_4_1·c_8_2 + b_4_0·c_8_2
  16. b_13_1b_4_1·b_9_0 + b_4_0·b_9_1 + b_4_0·b_9_0 + b_4_0·b_6_0·b_3_0 + b_4_02·b_5_1
       + b_2_0·b_4_0·b_7_4 + b_2_0·b_4_0·b_4_1·b_3_1 + b_2_0·b_4_0·b_4_1·b_3_0
       + b_2_0·b_4_02·b_3_1 + b_2_0·b_4_02·b_3_0 + b_2_02·b_4_0·b_5_1 + b_2_02·b_4_0·b_5_0
       + b_2_03·b_4_0·b_3_1 + c_8_2·b_5_1 + c_8_2·b_5_0 + b_2_0·c_8_2·b_3_1 + c_8_2·a_5_4
  17. b_13_0b_4_1·b_9_1 + b_4_1·b_6_0·b_3_0 + b_4_12·b_5_1 + b_4_0·b_9_0 + b_4_02·b_5_1
       + b_2_0·b_4_0·b_7_4 + b_2_0·b_4_0·b_4_1·b_3_1 + b_2_0·b_4_0·b_4_1·b_3_0
       + b_2_02·b_4_0·b_5_0 + b_2_03·b_7_4 + c_8_2·b_5_0 + b_2_0·c_8_2·b_3_1 + c_8_2·a_5_4
  18. b_14_13b_2_0·b_4_0·b_4_12 + b_2_0·b_4_03 + b_2_02·b_4_1·b_3_0·b_3_1
       + b_2_02·b_4_1·b_3_02 + b_2_02·b_4_1·b_6_0 + b_2_03·b_4_12 + b_2_03·b_4_0·b_4_1
       + b_2_03·b_4_02 + b_2_05·b_4_1 + b_6_1·c_8_2 + b_2_0·b_4_1·c_8_2 + b_2_0·b_4_0·c_8_2
       + b_2_03·c_8_2
  19. b_15_9b_4_0·b_4_12·b_3_0 + b_4_03·b_3_0 + b_2_0·b_4_12·b_5_0 + b_2_02·b_4_02·b_3_1
       + b_2_03·b_4_0·b_5_1 + b_2_03·b_4_0·b_5_0 + b_2_04·b_7_4 + b_2_04·b_4_0·b_3_1
       + b_4_03·a_3_2 + c_8_2·b_7_0 + b_4_1·c_8_2·b_3_1 + b_4_1·c_8_2·b_3_0 + b_4_0·c_8_2·b_3_1
       + b_4_0·c_8_2·b_3_0 + b_2_02·c_8_2·b_3_1 + c_8_2·a_7_10 + b_4_0·c_8_2·a_3_2
  20. b_15_8b_4_0·b_4_12·b_3_1 + b_4_03·b_3_1 + b_2_0·b_4_12·b_5_1 + b_2_02·b_4_0·b_4_1·b_3_1
       + b_2_02·b_4_0·b_4_1·b_3_0 + b_2_02·b_4_02·b_3_1 + b_2_04·b_7_0
       + b_2_04·b_4_1·b_3_1 + b_2_04·b_4_0·b_3_0 + b_2_05·b_5_0 + c_8_2·b_7_4
       + b_4_1·c_8_2·b_3_1 + b_4_0·c_8_2·b_3_1 + b_4_0·c_8_2·b_3_0 + b_2_0·c_8_2·b_5_0
       + b_2_02·c_8_2·b_3_1 + b_4_0·c_8_2·a_3_2
  21. b_18_13b_4_03·b_3_0·b_3_1 + b_4_03·b_6_1 + b_4_03·b_6_0 + b_2_0·b_4_0·b_4_13
       + b_2_0·b_4_02·b_8_1 + b_2_0·b_4_02·b_4_1·b_4_3 + b_2_0·b_4_03·b_4_1
       + b_2_0·b_4_04 + b_2_02·b_4_02·b_6_1 + b_2_02·b_4_02·b_6_0
       + b_2_03·b_4_0·b_4_1·b_4_3 + b_2_03·b_4_02·b_4_1 + b_2_04·b_10_15
       + b_2_04·b_4_1·b_6_0 + b_2_04·b_4_0·b_3_0·b_3_1 + b_2_05·b_4_12
       + b_2_05·b_4_0·b_4_1 + c_8_2·b_10_15 + b_4_3·b_6_0·c_8_2 + b_4_1·c_8_2·b_3_02
       + b_4_1·b_6_0·c_8_2 + b_4_0·c_8_2·b_3_02 + b_4_0·b_6_0·c_8_2 + b_2_0·b_8_0·c_8_2
       + b_2_0·b_4_1·b_4_3·c_8_2 + b_2_0·b_4_0·b_4_1·c_8_2 + b_2_0·b_4_02·c_8_2
       + b_2_02·c_8_2·b_3_0·b_3_1 + b_2_02·c_8_2·b_3_02 + b_2_02·b_6_1·c_8_2
       + b_2_03·b_4_1·c_8_2 + b_2_0·c_8_22

Restriction map to the greatest el. ab. subgp. in the centre of a Sylow subgroup, which is of rank 1

  1. b_2_00, an element of degree 2
  2. b_3_10, an element of degree 3
  3. b_3_00, an element of degree 3
  4. a_5_20, an element of degree 5
  5. b_6_20, an element of degree 6
  6. a_7_20, an element of degree 7
  7. c_8_2c_1_08, an element of degree 8
  8. b_8_10, an element of degree 8
  9. b_8_00, an element of degree 8
  10. b_9_10, an element of degree 9
  11. b_9_00, an element of degree 9
  12. a_11_120, an element of degree 11
  13. b_12_80, an element of degree 12
  14. b_12_70, an element of degree 12
  15. b_12_60, an element of degree 12
  16. b_13_10, an element of degree 13
  17. b_13_00, an element of degree 13
  18. b_14_130, an element of degree 14
  19. b_15_90, an element of degree 15
  20. b_15_80, an element of degree 15
  21. b_18_130, an element of degree 18

Restriction map to a maximal el. ab. subgp. of rank 2 in a Sylow subgroup

  1. b_2_00, an element of degree 2
  2. b_3_10, an element of degree 3
  3. b_3_00, an element of degree 3
  4. a_5_20, an element of degree 5
  5. b_6_20, an element of degree 6
  6. a_7_20, an element of degree 7
  7. c_8_2c_1_18 + c_1_04·c_1_14 + c_1_08, an element of degree 8
  8. b_8_10, an element of degree 8
  9. b_8_00, an element of degree 8
  10. b_9_10, an element of degree 9
  11. b_9_00, an element of degree 9
  12. a_11_120, an element of degree 11
  13. b_12_8c_1_04·c_1_18 + c_1_08·c_1_14, an element of degree 12
  14. b_12_70, an element of degree 12
  15. b_12_60, an element of degree 12
  16. b_13_10, an element of degree 13
  17. b_13_00, an element of degree 13
  18. b_14_130, an element of degree 14
  19. b_15_90, an element of degree 15
  20. b_15_80, an element of degree 15
  21. b_18_130, an element of degree 18

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

  1. b_2_0c_1_32 + c_1_2·c_1_3 + c_1_22, an element of degree 2
  2. b_3_1c_1_33 + c_1_22·c_1_3 + c_1_23, an element of degree 3
  3. b_3_0c_1_2·c_1_32 + c_1_22·c_1_3, an element of degree 3
  4. a_5_20, an element of degree 5
  5. b_6_2c_1_1·c_1_23·c_1_32 + c_1_1·c_1_24·c_1_3 + c_1_12·c_1_34
       + c_1_12·c_1_23·c_1_3 + c_1_12·c_1_24 + c_1_13·c_1_2·c_1_32
       + c_1_13·c_1_22·c_1_3 + c_1_14·c_1_32 + c_1_14·c_1_2·c_1_3 + c_1_14·c_1_22
       + c_1_0·c_1_2·c_1_34 + c_1_0·c_1_22·c_1_33 + c_1_0·c_1_1·c_1_34
       + c_1_0·c_1_1·c_1_22·c_1_32 + c_1_0·c_1_1·c_1_24 + c_1_0·c_1_12·c_1_33
       + c_1_0·c_1_12·c_1_2·c_1_32 + c_1_0·c_1_12·c_1_23 + c_1_02·c_1_34
       + c_1_02·c_1_2·c_1_33 + c_1_02·c_1_24 + c_1_02·c_1_1·c_1_33
       + c_1_02·c_1_1·c_1_22·c_1_3 + c_1_02·c_1_1·c_1_23 + c_1_02·c_1_12·c_1_32
       + c_1_02·c_1_12·c_1_2·c_1_3 + c_1_02·c_1_12·c_1_22 + c_1_03·c_1_2·c_1_32
       + c_1_03·c_1_22·c_1_3 + c_1_04·c_1_32 + c_1_04·c_1_2·c_1_3 + c_1_04·c_1_22, an element of degree 6
  6. a_7_20, an element of degree 7
  7. c_8_2c_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_22·c_1_32 + c_1_14·c_1_24 + c_1_18 + c_1_0·c_1_1·c_1_22·c_1_34
       + c_1_0·c_1_1·c_1_24·c_1_32 + c_1_0·c_1_12·c_1_2·c_1_34
       + c_1_0·c_1_12·c_1_24·c_1_3 + c_1_0·c_1_14·c_1_2·c_1_32
       + c_1_0·c_1_14·c_1_22·c_1_3 + c_1_02·c_1_22·c_1_34 + c_1_02·c_1_24·c_1_32
       + c_1_02·c_1_1·c_1_2·c_1_34 + c_1_02·c_1_1·c_1_24·c_1_3
       + c_1_02·c_1_12·c_1_34 + c_1_02·c_1_12·c_1_22·c_1_32
       + c_1_02·c_1_12·c_1_24 + c_1_02·c_1_14·c_1_32 + c_1_02·c_1_14·c_1_2·c_1_3
       + c_1_02·c_1_14·c_1_22 + c_1_04·c_1_34 + c_1_04·c_1_22·c_1_32
       + c_1_04·c_1_24 + c_1_04·c_1_1·c_1_2·c_1_32 + c_1_04·c_1_1·c_1_22·c_1_3
       + c_1_04·c_1_12·c_1_32 + c_1_04·c_1_12·c_1_2·c_1_3 + c_1_04·c_1_12·c_1_22
       + c_1_04·c_1_14 + c_1_08, an element of degree 8
  8. b_8_1c_1_22·c_1_36 + c_1_23·c_1_35 + c_1_25·c_1_33 + c_1_26·c_1_32
       + c_1_1·c_1_22·c_1_35 + c_1_1·c_1_23·c_1_34 + c_1_1·c_1_24·c_1_33
       + c_1_1·c_1_25·c_1_32 + c_1_12·c_1_22·c_1_34 + c_1_12·c_1_23·c_1_33
       + c_1_13·c_1_35 + c_1_13·c_1_2·c_1_34 + c_1_13·c_1_25 + 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_23·c_1_3
       + c_1_14·c_1_24 + c_1_15·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_2·c_1_3 + c_1_16·c_1_22 + 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_2·c_1_35 + c_1_0·c_1_1·c_1_23·c_1_33
       + 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_35
       + c_1_0·c_1_12·c_1_2·c_1_34 + c_1_0·c_1_12·c_1_25 + c_1_0·c_1_14·c_1_33
       + c_1_0·c_1_14·c_1_22·c_1_3 + c_1_0·c_1_14·c_1_23 + c_1_02·c_1_2·c_1_35
       + c_1_02·c_1_22·c_1_34 + c_1_02·c_1_23·c_1_33 + c_1_02·c_1_24·c_1_32
       + c_1_02·c_1_12·c_1_34 + c_1_02·c_1_12·c_1_22·c_1_32
       + c_1_02·c_1_12·c_1_24 + c_1_02·c_1_14·c_1_32 + c_1_02·c_1_14·c_1_2·c_1_3
       + c_1_02·c_1_14·c_1_22 + c_1_03·c_1_35 + c_1_03·c_1_2·c_1_34
       + c_1_03·c_1_25 + c_1_04·c_1_34 + c_1_04·c_1_23·c_1_3 + c_1_04·c_1_24
       + c_1_04·c_1_1·c_1_2·c_1_32 + c_1_04·c_1_1·c_1_22·c_1_3 + c_1_05·c_1_33
       + c_1_05·c_1_2·c_1_32 + c_1_05·c_1_23 + c_1_06·c_1_32 + c_1_06·c_1_2·c_1_3
       + c_1_06·c_1_22, an element of degree 8
  9. b_8_0c_1_1·c_1_25·c_1_32 + c_1_1·c_1_26·c_1_3 + c_1_12·c_1_36
       + c_1_12·c_1_2·c_1_35 + 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_25·c_1_3 + c_1_12·c_1_26
       + c_1_14·c_1_34 + 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_0·c_1_2·c_1_36 + c_1_0·c_1_22·c_1_35
       + c_1_0·c_1_1·c_1_36 + c_1_0·c_1_1·c_1_2·c_1_35 + c_1_0·c_1_1·c_1_22·c_1_34
       + c_1_0·c_1_1·c_1_23·c_1_33 + 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_1·c_1_26 + c_1_0·c_1_12·c_1_2·c_1_34
       + c_1_0·c_1_12·c_1_24·c_1_3 + c_1_0·c_1_14·c_1_33 + c_1_0·c_1_14·c_1_2·c_1_32
       + c_1_0·c_1_14·c_1_23 + c_1_02·c_1_36 + c_1_02·c_1_2·c_1_35
       + c_1_02·c_1_22·c_1_34 + c_1_02·c_1_23·c_1_33 + c_1_02·c_1_24·c_1_32
       + c_1_02·c_1_25·c_1_3 + c_1_02·c_1_26 + c_1_02·c_1_1·c_1_2·c_1_34
       + c_1_02·c_1_1·c_1_24·c_1_3 + c_1_02·c_1_12·c_1_34
       + c_1_02·c_1_12·c_1_22·c_1_32 + c_1_02·c_1_12·c_1_24
       + c_1_02·c_1_14·c_1_32 + c_1_02·c_1_14·c_1_2·c_1_3 + c_1_02·c_1_14·c_1_22
       + c_1_04·c_1_34 + c_1_04·c_1_2·c_1_33 + c_1_04·c_1_24 + c_1_04·c_1_1·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_32
       + 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_2·c_1_32
       + c_1_05·c_1_22·c_1_3, an element of degree 8
  10. b_9_1c_1_22·c_1_37 + c_1_23·c_1_36 + c_1_24·c_1_35 + c_1_27·c_1_32
       + c_1_1·c_1_22·c_1_36 + c_1_1·c_1_23·c_1_35 + c_1_1·c_1_25·c_1_33
       + c_1_1·c_1_27·c_1_3 + c_1_12·c_1_37 + c_1_12·c_1_2·c_1_36
       + c_1_12·c_1_22·c_1_35 + c_1_12·c_1_26·c_1_3 + c_1_12·c_1_27
       + c_1_13·c_1_36 + c_1_13·c_1_2·c_1_35 + c_1_13·c_1_22·c_1_34
       + c_1_13·c_1_23·c_1_33 + c_1_13·c_1_24·c_1_32 + c_1_13·c_1_25·c_1_3
       + c_1_13·c_1_26 + c_1_14·c_1_22·c_1_33 + c_1_14·c_1_23·c_1_32
       + c_1_15·c_1_34 + c_1_15·c_1_22·c_1_32 + c_1_15·c_1_24 + c_1_16·c_1_33
       + c_1_16·c_1_22·c_1_3 + c_1_16·c_1_23 + c_1_0·c_1_2·c_1_37
       + c_1_0·c_1_23·c_1_35 + c_1_0·c_1_25·c_1_33 + c_1_0·c_1_26·c_1_32
       + c_1_0·c_1_1·c_1_37 + c_1_0·c_1_1·c_1_23·c_1_34 + c_1_0·c_1_1·c_1_25·c_1_32
       + c_1_0·c_1_1·c_1_26·c_1_3 + c_1_0·c_1_1·c_1_27 + c_1_0·c_1_12·c_1_2·c_1_35
       + c_1_0·c_1_12·c_1_23·c_1_33 + c_1_0·c_1_12·c_1_24·c_1_32
       + c_1_0·c_1_12·c_1_25·c_1_3 + c_1_0·c_1_14·c_1_34
       + c_1_0·c_1_14·c_1_22·c_1_32 + c_1_0·c_1_14·c_1_24 + c_1_02·c_1_37
       + c_1_02·c_1_2·c_1_36 + c_1_02·c_1_23·c_1_34 + c_1_02·c_1_24·c_1_33
       + c_1_02·c_1_27 + c_1_02·c_1_1·c_1_36 + c_1_02·c_1_1·c_1_22·c_1_34
       + c_1_02·c_1_1·c_1_26 + c_1_02·c_1_12·c_1_2·c_1_34
       + c_1_02·c_1_12·c_1_24·c_1_3 + c_1_02·c_1_14·c_1_33
       + c_1_02·c_1_14·c_1_2·c_1_32 + c_1_02·c_1_14·c_1_23 + c_1_03·c_1_36
       + c_1_03·c_1_2·c_1_35 + c_1_03·c_1_22·c_1_34 + c_1_03·c_1_23·c_1_33
       + c_1_03·c_1_24·c_1_32 + c_1_03·c_1_25·c_1_3 + c_1_03·c_1_26
       + c_1_04·c_1_2·c_1_34 + c_1_04·c_1_23·c_1_32 + c_1_04·c_1_12·c_1_2·c_1_32
       + c_1_04·c_1_12·c_1_22·c_1_3 + c_1_05·c_1_34 + c_1_05·c_1_22·c_1_32
       + c_1_05·c_1_24 + c_1_06·c_1_33 + c_1_06·c_1_22·c_1_3 + c_1_06·c_1_23, an element of degree 9
  11. b_9_0c_1_2·c_1_38 + c_1_22·c_1_37 + c_1_25·c_1_34 + c_1_26·c_1_33
       + c_1_27·c_1_32 + c_1_28·c_1_3 + c_1_12·c_1_2·c_1_36 + c_1_12·c_1_22·c_1_35
       + c_1_12·c_1_23·c_1_34 + c_1_12·c_1_24·c_1_33 + c_1_14·c_1_23·c_1_32
       + c_1_14·c_1_24·c_1_3 + c_1_16·c_1_2·c_1_32 + c_1_16·c_1_22·c_1_3
       + c_1_0·c_1_1·c_1_2·c_1_36 + c_1_0·c_1_1·c_1_22·c_1_35
       + c_1_0·c_1_1·c_1_23·c_1_34 + c_1_0·c_1_1·c_1_24·c_1_33
       + c_1_0·c_1_1·c_1_25·c_1_32 + c_1_0·c_1_1·c_1_26·c_1_3 + c_1_0·c_1_12·c_1_36
       + c_1_0·c_1_12·c_1_2·c_1_35 + c_1_0·c_1_12·c_1_23·c_1_33
       + c_1_0·c_1_12·c_1_25·c_1_3 + c_1_0·c_1_12·c_1_26 + c_1_0·c_1_14·c_1_34
       + c_1_0·c_1_14·c_1_22·c_1_32 + c_1_0·c_1_14·c_1_24 + c_1_02·c_1_23·c_1_34
       + c_1_02·c_1_24·c_1_33 + c_1_02·c_1_25·c_1_32 + c_1_02·c_1_26·c_1_3
       + c_1_02·c_1_1·c_1_36 + c_1_02·c_1_1·c_1_2·c_1_35
       + c_1_02·c_1_1·c_1_23·c_1_33 + c_1_02·c_1_1·c_1_25·c_1_3
       + c_1_02·c_1_1·c_1_26 + c_1_02·c_1_14·c_1_33 + c_1_02·c_1_14·c_1_22·c_1_3
       + c_1_02·c_1_14·c_1_23 + c_1_04·c_1_2·c_1_34 + c_1_04·c_1_22·c_1_33
       + c_1_04·c_1_1·c_1_34 + c_1_04·c_1_1·c_1_22·c_1_32 + c_1_04·c_1_1·c_1_24
       + c_1_04·c_1_12·c_1_33 + c_1_04·c_1_12·c_1_2·c_1_32
       + c_1_04·c_1_12·c_1_23 + c_1_06·c_1_2·c_1_32 + c_1_06·c_1_22·c_1_3, an element of degree 9
  12. a_11_120, an element of degree 11
  13. b_12_8c_1_22·c_1_310 + c_1_24·c_1_38 + c_1_26·c_1_36 + c_1_210·c_1_32
       + c_1_1·c_1_22·c_1_39 + c_1_1·c_1_23·c_1_38 + c_1_1·c_1_24·c_1_37
       + c_1_1·c_1_27·c_1_34 + c_1_1·c_1_29·c_1_32 + c_1_1·c_1_210·c_1_3
       + c_1_12·c_1_310 + c_1_12·c_1_26·c_1_34 + c_1_12·c_1_27·c_1_33
       + c_1_12·c_1_28·c_1_32 + c_1_12·c_1_210 + c_1_13·c_1_39
       + c_1_13·c_1_2·c_1_38 + c_1_13·c_1_29 + c_1_14·c_1_38
       + c_1_14·c_1_23·c_1_35 + c_1_14·c_1_26·c_1_32 + c_1_14·c_1_27·c_1_3
       + c_1_14·c_1_28 + c_1_15·c_1_37 + c_1_15·c_1_23·c_1_34
       + c_1_15·c_1_25·c_1_32 + c_1_15·c_1_26·c_1_3 + c_1_15·c_1_27
       + c_1_16·c_1_36 + c_1_16·c_1_2·c_1_35 + c_1_16·c_1_23·c_1_33
       + c_1_16·c_1_25·c_1_3 + c_1_16·c_1_26 + c_1_18·c_1_34
       + c_1_18·c_1_22·c_1_32 + c_1_18·c_1_24 + c_1_0·c_1_2·c_1_310
       + c_1_0·c_1_23·c_1_38 + c_1_0·c_1_25·c_1_36 + c_1_0·c_1_26·c_1_35
       + c_1_0·c_1_27·c_1_34 + c_1_0·c_1_29·c_1_32 + c_1_0·c_1_1·c_1_310
       + c_1_0·c_1_1·c_1_2·c_1_39 + c_1_0·c_1_1·c_1_22·c_1_38
       + c_1_0·c_1_1·c_1_24·c_1_36 + c_1_0·c_1_1·c_1_25·c_1_35
       + c_1_0·c_1_1·c_1_26·c_1_34 + c_1_0·c_1_1·c_1_28·c_1_32
       + c_1_0·c_1_1·c_1_29·c_1_3 + c_1_0·c_1_1·c_1_210 + c_1_0·c_1_12·c_1_39
       + c_1_0·c_1_12·c_1_23·c_1_36 + c_1_0·c_1_12·c_1_24·c_1_35
       + c_1_0·c_1_12·c_1_25·c_1_34 + c_1_0·c_1_12·c_1_26·c_1_33
       + c_1_0·c_1_12·c_1_28·c_1_3 + c_1_0·c_1_12·c_1_29 + c_1_0·c_1_14·c_1_2·c_1_36
       + c_1_0·c_1_14·c_1_22·c_1_35 + c_1_0·c_1_14·c_1_23·c_1_34
       + c_1_0·c_1_14·c_1_24·c_1_33 + c_1_0·c_1_14·c_1_25·c_1_32
       + c_1_0·c_1_14·c_1_26·c_1_3 + c_1_0·c_1_18·c_1_2·c_1_32
       + c_1_0·c_1_18·c_1_22·c_1_3 + c_1_02·c_1_310 + c_1_02·c_1_2·c_1_39
       + c_1_02·c_1_22·c_1_38 + c_1_02·c_1_23·c_1_37 + c_1_02·c_1_24·c_1_36
       + c_1_02·c_1_28·c_1_32 + c_1_02·c_1_210 + c_1_02·c_1_1·c_1_2·c_1_38
       + c_1_02·c_1_1·c_1_23·c_1_36 + c_1_02·c_1_1·c_1_24·c_1_35
       + c_1_02·c_1_1·c_1_25·c_1_34 + c_1_02·c_1_1·c_1_26·c_1_33
       + c_1_02·c_1_1·c_1_28·c_1_3 + c_1_02·c_1_12·c_1_38
       + c_1_02·c_1_12·c_1_2·c_1_37 + c_1_02·c_1_12·c_1_22·c_1_36
       + c_1_02·c_1_12·c_1_24·c_1_34 + c_1_02·c_1_12·c_1_25·c_1_33
       + c_1_02·c_1_12·c_1_27·c_1_3 + c_1_02·c_1_12·c_1_28
       + c_1_02·c_1_14·c_1_22·c_1_34 + c_1_02·c_1_14·c_1_24·c_1_32
       + c_1_02·c_1_18·c_1_32 + c_1_02·c_1_18·c_1_2·c_1_3 + c_1_02·c_1_18·c_1_22
       + c_1_03·c_1_39 + c_1_03·c_1_2·c_1_38 + c_1_03·c_1_29 + c_1_04·c_1_38
       + c_1_04·c_1_22·c_1_36 + c_1_04·c_1_24·c_1_34 + c_1_04·c_1_25·c_1_33
       + c_1_04·c_1_28 + c_1_04·c_1_1·c_1_37 + c_1_04·c_1_1·c_1_2·c_1_36
       + c_1_04·c_1_1·c_1_22·c_1_35 + c_1_04·c_1_1·c_1_24·c_1_33
       + c_1_04·c_1_1·c_1_27 + c_1_04·c_1_12·c_1_36 + c_1_04·c_1_12·c_1_2·c_1_35
       + c_1_04·c_1_12·c_1_22·c_1_34 + c_1_04·c_1_12·c_1_23·c_1_33
       + c_1_04·c_1_12·c_1_24·c_1_32 + c_1_04·c_1_12·c_1_25·c_1_3
       + c_1_04·c_1_12·c_1_26 + c_1_04·c_1_14·c_1_34
       + c_1_04·c_1_14·c_1_22·c_1_32 + c_1_04·c_1_14·c_1_24 + c_1_04·c_1_18
       + c_1_05·c_1_37 + c_1_05·c_1_23·c_1_34 + c_1_05·c_1_25·c_1_32
       + c_1_05·c_1_26·c_1_3 + c_1_05·c_1_27 + c_1_06·c_1_36 + c_1_06·c_1_2·c_1_35
       + c_1_06·c_1_23·c_1_33 + c_1_06·c_1_25·c_1_3 + c_1_06·c_1_26
       + c_1_08·c_1_34 + c_1_08·c_1_22·c_1_32 + c_1_08·c_1_24
       + c_1_08·c_1_1·c_1_2·c_1_32 + c_1_08·c_1_1·c_1_22·c_1_3
       + c_1_08·c_1_12·c_1_32 + c_1_08·c_1_12·c_1_2·c_1_3 + c_1_08·c_1_12·c_1_22
       + c_1_08·c_1_14, an element of degree 12
  14. b_12_7c_1_22·c_1_310 + c_1_26·c_1_36 + c_1_28·c_1_34 + c_1_210·c_1_32
       + c_1_1·c_1_22·c_1_39 + c_1_1·c_1_23·c_1_38 + c_1_1·c_1_25·c_1_36
       + c_1_1·c_1_26·c_1_35 + c_1_1·c_1_27·c_1_34 + c_1_1·c_1_210·c_1_3
       + c_1_12·c_1_310 + c_1_12·c_1_24·c_1_36 + c_1_12·c_1_27·c_1_33
       + c_1_12·c_1_29·c_1_3 + c_1_12·c_1_210 + c_1_13·c_1_39 + c_1_13·c_1_2·c_1_38
       + c_1_13·c_1_29 + c_1_14·c_1_23·c_1_35 + c_1_14·c_1_25·c_1_33
       + c_1_15·c_1_2·c_1_36 + c_1_15·c_1_22·c_1_35 + c_1_15·c_1_23·c_1_34
       + c_1_15·c_1_24·c_1_33 + c_1_15·c_1_25·c_1_32 + c_1_15·c_1_26·c_1_3
       + c_1_16·c_1_2·c_1_35 + c_1_16·c_1_22·c_1_34 + c_1_16·c_1_23·c_1_33
       + c_1_16·c_1_25·c_1_3 + c_1_18·c_1_2·c_1_33 + c_1_18·c_1_23·c_1_3
       + c_1_19·c_1_33 + c_1_19·c_1_2·c_1_32 + c_1_19·c_1_23 + c_1_110·c_1_32
       + c_1_110·c_1_2·c_1_3 + c_1_110·c_1_22 + c_1_0·c_1_2·c_1_310
       + c_1_0·c_1_22·c_1_39 + c_1_0·c_1_24·c_1_37 + c_1_0·c_1_25·c_1_36
       + c_1_0·c_1_26·c_1_35 + c_1_0·c_1_29·c_1_32 + c_1_0·c_1_1·c_1_310
       + c_1_0·c_1_1·c_1_2·c_1_39 + c_1_0·c_1_1·c_1_22·c_1_38
       + c_1_0·c_1_1·c_1_24·c_1_36 + c_1_0·c_1_1·c_1_25·c_1_35
       + c_1_0·c_1_1·c_1_26·c_1_34 + c_1_0·c_1_1·c_1_28·c_1_32
       + c_1_0·c_1_1·c_1_29·c_1_3 + c_1_0·c_1_1·c_1_210 + c_1_0·c_1_12·c_1_2·c_1_38
       + c_1_0·c_1_12·c_1_22·c_1_37 + c_1_0·c_1_12·c_1_23·c_1_36
       + c_1_0·c_1_12·c_1_24·c_1_35 + c_1_0·c_1_12·c_1_27·c_1_32
       + c_1_0·c_1_12·c_1_28·c_1_3 + c_1_0·c_1_14·c_1_2·c_1_36
       + c_1_0·c_1_14·c_1_22·c_1_35 + c_1_0·c_1_14·c_1_23·c_1_34
       + c_1_0·c_1_14·c_1_24·c_1_33 + c_1_0·c_1_14·c_1_25·c_1_32
       + c_1_0·c_1_14·c_1_26·c_1_3 + c_1_0·c_1_18·c_1_33 + c_1_0·c_1_18·c_1_22·c_1_3
       + c_1_0·c_1_18·c_1_23 + c_1_02·c_1_310 + c_1_02·c_1_22·c_1_38
       + c_1_02·c_1_23·c_1_37 + c_1_02·c_1_24·c_1_36 + c_1_02·c_1_26·c_1_34
       + c_1_02·c_1_28·c_1_32 + c_1_02·c_1_210 + c_1_02·c_1_1·c_1_39
       + c_1_02·c_1_1·c_1_22·c_1_37 + c_1_02·c_1_1·c_1_23·c_1_36
       + c_1_02·c_1_1·c_1_24·c_1_35 + c_1_02·c_1_1·c_1_27·c_1_32
       + c_1_02·c_1_1·c_1_28·c_1_3 + c_1_02·c_1_1·c_1_29
       + c_1_02·c_1_12·c_1_22·c_1_36 + c_1_02·c_1_12·c_1_23·c_1_35
       + c_1_02·c_1_12·c_1_25·c_1_33 + c_1_02·c_1_12·c_1_26·c_1_32
       + c_1_02·c_1_14·c_1_2·c_1_35 + c_1_02·c_1_14·c_1_23·c_1_33
       + c_1_02·c_1_14·c_1_24·c_1_32 + c_1_02·c_1_14·c_1_25·c_1_3
       + c_1_02·c_1_18·c_1_32 + c_1_02·c_1_18·c_1_2·c_1_3 + c_1_02·c_1_18·c_1_22
       + c_1_03·c_1_39 + c_1_03·c_1_2·c_1_38 + c_1_03·c_1_29
       + c_1_04·c_1_22·c_1_36 + c_1_04·c_1_23·c_1_35 + c_1_04·c_1_24·c_1_34
       + c_1_04·c_1_25·c_1_33 + c_1_04·c_1_12·c_1_22·c_1_34
       + c_1_04·c_1_12·c_1_24·c_1_32 + c_1_05·c_1_2·c_1_36
       + c_1_05·c_1_22·c_1_35 + c_1_05·c_1_23·c_1_34 + c_1_05·c_1_24·c_1_33
       + c_1_05·c_1_25·c_1_32 + c_1_05·c_1_26·c_1_3 + c_1_06·c_1_2·c_1_35
       + c_1_06·c_1_22·c_1_34 + c_1_06·c_1_23·c_1_33 + c_1_06·c_1_25·c_1_3
       + c_1_08·c_1_22·c_1_32 + c_1_08·c_1_23·c_1_3 + c_1_08·c_1_1·c_1_2·c_1_32
       + c_1_08·c_1_1·c_1_22·c_1_3 + c_1_09·c_1_33 + c_1_09·c_1_2·c_1_32
       + c_1_09·c_1_23 + c_1_010·c_1_32 + c_1_010·c_1_2·c_1_3 + c_1_010·c_1_22, an element of degree 12
  15. b_12_6c_1_24·c_1_38 + c_1_28·c_1_34 + c_1_12·c_1_23·c_1_37
       + c_1_12·c_1_24·c_1_36 + c_1_12·c_1_25·c_1_35 + c_1_12·c_1_28·c_1_32
       + c_1_13·c_1_22·c_1_37 + c_1_13·c_1_25·c_1_34 + c_1_13·c_1_26·c_1_33
       + c_1_13·c_1_27·c_1_32 + c_1_14·c_1_38 + c_1_14·c_1_2·c_1_37
       + c_1_14·c_1_24·c_1_34 + c_1_14·c_1_26·c_1_32 + c_1_14·c_1_28
       + c_1_15·c_1_37 + c_1_15·c_1_23·c_1_34 + c_1_15·c_1_25·c_1_32
       + c_1_15·c_1_26·c_1_3 + c_1_15·c_1_27 + c_1_16·c_1_36 + c_1_16·c_1_2·c_1_35
       + c_1_16·c_1_22·c_1_34 + c_1_16·c_1_23·c_1_33 + c_1_16·c_1_24·c_1_32
       + c_1_16·c_1_25·c_1_3 + c_1_16·c_1_26 + c_1_18·c_1_34 + c_1_18·c_1_2·c_1_33
       + c_1_18·c_1_24 + c_1_19·c_1_33 + c_1_19·c_1_22·c_1_3 + c_1_19·c_1_23
       + c_1_110·c_1_32 + c_1_110·c_1_2·c_1_3 + c_1_110·c_1_22
       + c_1_0·c_1_12·c_1_23·c_1_36 + c_1_0·c_1_12·c_1_24·c_1_35
       + c_1_0·c_1_12·c_1_25·c_1_34 + c_1_0·c_1_12·c_1_26·c_1_33
       + c_1_0·c_1_14·c_1_2·c_1_36 + c_1_0·c_1_14·c_1_22·c_1_35
       + c_1_0·c_1_14·c_1_23·c_1_34 + c_1_0·c_1_14·c_1_24·c_1_33
       + c_1_0·c_1_14·c_1_25·c_1_32 + c_1_0·c_1_14·c_1_26·c_1_3
       + c_1_0·c_1_18·c_1_2·c_1_32 + c_1_0·c_1_18·c_1_22·c_1_3
       + c_1_02·c_1_22·c_1_38 + c_1_02·c_1_23·c_1_37 + c_1_02·c_1_24·c_1_36
       + c_1_02·c_1_27·c_1_33 + c_1_02·c_1_1·c_1_22·c_1_37
       + c_1_02·c_1_1·c_1_23·c_1_36 + c_1_02·c_1_1·c_1_24·c_1_35
       + c_1_02·c_1_1·c_1_27·c_1_32 + c_1_02·c_1_12·c_1_38
       + c_1_02·c_1_12·c_1_22·c_1_36 + c_1_02·c_1_12·c_1_23·c_1_35
       + c_1_02·c_1_12·c_1_24·c_1_34 + c_1_02·c_1_12·c_1_25·c_1_33
       + c_1_02·c_1_12·c_1_26·c_1_32 + c_1_02·c_1_12·c_1_28
       + c_1_02·c_1_14·c_1_36 + c_1_02·c_1_14·c_1_22·c_1_34
       + c_1_02·c_1_14·c_1_26 + c_1_03·c_1_22·c_1_37 + c_1_03·c_1_25·c_1_34
       + c_1_03·c_1_26·c_1_33 + c_1_03·c_1_27·c_1_32 + c_1_04·c_1_38
       + c_1_04·c_1_2·c_1_37 + c_1_04·c_1_23·c_1_35 + c_1_04·c_1_25·c_1_33
       + c_1_04·c_1_26·c_1_32 + c_1_04·c_1_27·c_1_3 + c_1_04·c_1_28
       + c_1_04·c_1_1·c_1_37 + c_1_04·c_1_1·c_1_2·c_1_36
       + c_1_04·c_1_1·c_1_22·c_1_35 + c_1_04·c_1_1·c_1_24·c_1_33
       + c_1_04·c_1_1·c_1_27 + c_1_04·c_1_12·c_1_2·c_1_35
       + c_1_04·c_1_12·c_1_23·c_1_33 + c_1_04·c_1_12·c_1_24·c_1_32
       + c_1_04·c_1_12·c_1_25·c_1_3 + c_1_04·c_1_14·c_1_34
       + c_1_04·c_1_14·c_1_22·c_1_32 + c_1_04·c_1_14·c_1_24 + c_1_05·c_1_37
       + c_1_05·c_1_23·c_1_34 + c_1_05·c_1_25·c_1_32 + c_1_05·c_1_26·c_1_3
       + c_1_05·c_1_27 + c_1_06·c_1_36 + c_1_06·c_1_2·c_1_35
       + c_1_06·c_1_22·c_1_34 + c_1_06·c_1_23·c_1_33 + c_1_06·c_1_24·c_1_32
       + c_1_06·c_1_25·c_1_3 + c_1_06·c_1_26 + c_1_08·c_1_34 + c_1_08·c_1_2·c_1_33
       + c_1_08·c_1_22·c_1_32 + c_1_08·c_1_23·c_1_3 + c_1_08·c_1_24
       + c_1_08·c_1_1·c_1_33 + c_1_08·c_1_1·c_1_2·c_1_32 + c_1_08·c_1_1·c_1_23
       + c_1_08·c_1_12·c_1_32 + c_1_08·c_1_12·c_1_2·c_1_3 + c_1_08·c_1_12·c_1_22
       + c_1_09·c_1_33 + c_1_09·c_1_22·c_1_3 + c_1_09·c_1_23 + c_1_010·c_1_32
       + c_1_010·c_1_2·c_1_3 + c_1_010·c_1_22, an element of degree 12
  16. b_13_1c_1_1·c_1_23·c_1_39 + c_1_1·c_1_24·c_1_38 + c_1_1·c_1_25·c_1_37
       + c_1_1·c_1_27·c_1_35 + c_1_1·c_1_28·c_1_34 + c_1_1·c_1_29·c_1_33
       + c_1_12·c_1_22·c_1_39 + c_1_12·c_1_24·c_1_37 + c_1_12·c_1_25·c_1_36
       + c_1_12·c_1_26·c_1_35 + c_1_12·c_1_28·c_1_33 + c_1_12·c_1_29·c_1_32
       + c_1_13·c_1_2·c_1_39 + c_1_13·c_1_24·c_1_36 + c_1_13·c_1_25·c_1_35
       + c_1_13·c_1_26·c_1_34 + c_1_13·c_1_28·c_1_32 + c_1_13·c_1_29·c_1_3
       + c_1_14·c_1_39 + c_1_14·c_1_23·c_1_36 + c_1_14·c_1_26·c_1_33
       + c_1_14·c_1_27·c_1_32 + c_1_14·c_1_29 + c_1_15·c_1_38
       + c_1_15·c_1_2·c_1_37 + c_1_15·c_1_22·c_1_36 + c_1_15·c_1_24·c_1_34
       + c_1_15·c_1_25·c_1_33 + c_1_15·c_1_27·c_1_3 + c_1_15·c_1_28
       + c_1_16·c_1_37 + c_1_16·c_1_23·c_1_34 + c_1_16·c_1_25·c_1_32
       + c_1_16·c_1_26·c_1_3 + c_1_16·c_1_27 + c_1_18·c_1_35 + c_1_18·c_1_2·c_1_34
       + c_1_18·c_1_22·c_1_33 + c_1_18·c_1_24·c_1_3 + c_1_18·c_1_25
       + c_1_19·c_1_34 + c_1_19·c_1_22·c_1_32 + c_1_19·c_1_24 + c_1_110·c_1_33
       + c_1_110·c_1_2·c_1_32 + c_1_110·c_1_23 + c_1_0·c_1_24·c_1_38
       + c_1_0·c_1_26·c_1_36 + c_1_0·c_1_27·c_1_35 + c_1_0·c_1_29·c_1_33
       + c_1_0·c_1_12·c_1_22·c_1_38 + c_1_0·c_1_12·c_1_28·c_1_32
       + c_1_0·c_1_14·c_1_22·c_1_36 + c_1_0·c_1_14·c_1_23·c_1_35
       + c_1_0·c_1_14·c_1_25·c_1_33 + c_1_0·c_1_14·c_1_26·c_1_32
       + c_1_02·c_1_24·c_1_37 + c_1_02·c_1_27·c_1_34 + c_1_02·c_1_28·c_1_33
       + c_1_02·c_1_29·c_1_32 + c_1_02·c_1_1·c_1_2·c_1_39
       + c_1_02·c_1_1·c_1_22·c_1_38 + c_1_02·c_1_1·c_1_24·c_1_36
       + c_1_02·c_1_1·c_1_25·c_1_35 + c_1_02·c_1_1·c_1_26·c_1_34
       + c_1_02·c_1_1·c_1_29·c_1_3 + c_1_02·c_1_12·c_1_39
       + c_1_02·c_1_12·c_1_2·c_1_38 + c_1_02·c_1_12·c_1_29
       + c_1_02·c_1_14·c_1_37 + c_1_02·c_1_14·c_1_2·c_1_36
       + c_1_02·c_1_14·c_1_22·c_1_35 + c_1_02·c_1_14·c_1_24·c_1_33
       + c_1_02·c_1_14·c_1_27 + c_1_02·c_1_18·c_1_2·c_1_32
       + c_1_02·c_1_18·c_1_22·c_1_3 + c_1_03·c_1_2·c_1_39 + c_1_03·c_1_24·c_1_36
       + c_1_03·c_1_25·c_1_35 + c_1_03·c_1_26·c_1_34 + c_1_03·c_1_28·c_1_32
       + c_1_03·c_1_29·c_1_3 + c_1_04·c_1_39 + c_1_04·c_1_22·c_1_37
       + c_1_04·c_1_23·c_1_36 + c_1_04·c_1_24·c_1_35 + c_1_04·c_1_26·c_1_33
       + c_1_04·c_1_28·c_1_3 + c_1_04·c_1_29 + c_1_04·c_1_1·c_1_38
       + c_1_04·c_1_1·c_1_2·c_1_37 + c_1_04·c_1_1·c_1_23·c_1_35
       + c_1_04·c_1_1·c_1_24·c_1_34 + c_1_04·c_1_1·c_1_26·c_1_32
       + c_1_04·c_1_1·c_1_27·c_1_3 + c_1_04·c_1_1·c_1_28
       + c_1_04·c_1_12·c_1_2·c_1_36 + c_1_04·c_1_12·c_1_22·c_1_35
       + c_1_04·c_1_12·c_1_23·c_1_34 + c_1_04·c_1_12·c_1_24·c_1_33
       + c_1_04·c_1_12·c_1_25·c_1_32 + c_1_04·c_1_12·c_1_26·c_1_3
       + c_1_04·c_1_14·c_1_35 + c_1_04·c_1_14·c_1_24·c_1_3 + c_1_04·c_1_14·c_1_25
       + c_1_05·c_1_38 + c_1_05·c_1_2·c_1_37 + c_1_05·c_1_22·c_1_36
       + c_1_05·c_1_24·c_1_34 + c_1_05·c_1_25·c_1_33 + c_1_05·c_1_27·c_1_3
       + c_1_05·c_1_28 + c_1_06·c_1_37 + c_1_06·c_1_23·c_1_34
       + c_1_06·c_1_25·c_1_32 + c_1_06·c_1_26·c_1_3 + c_1_06·c_1_27
       + c_1_08·c_1_35 + c_1_08·c_1_2·c_1_34 + c_1_08·c_1_22·c_1_33
       + c_1_08·c_1_23·c_1_32 + c_1_08·c_1_25 + c_1_08·c_1_1·c_1_34
       + c_1_08·c_1_1·c_1_22·c_1_32 + c_1_08·c_1_1·c_1_24 + c_1_08·c_1_12·c_1_33
       + c_1_08·c_1_12·c_1_22·c_1_3 + c_1_08·c_1_12·c_1_23 + c_1_09·c_1_34
       + c_1_09·c_1_22·c_1_32 + c_1_09·c_1_24 + c_1_010·c_1_33
       + c_1_010·c_1_2·c_1_32 + c_1_010·c_1_23, an element of degree 13
  17. b_13_0c_1_22·c_1_311 + c_1_24·c_1_39 + c_1_25·c_1_38 + c_1_28·c_1_35
       + c_1_210·c_1_33 + c_1_211·c_1_32 + c_1_1·c_1_23·c_1_39
       + c_1_1·c_1_24·c_1_38 + c_1_1·c_1_28·c_1_34 + c_1_1·c_1_29·c_1_33
       + c_1_1·c_1_210·c_1_32 + c_1_1·c_1_211·c_1_3 + c_1_12·c_1_311
       + c_1_12·c_1_22·c_1_39 + c_1_12·c_1_24·c_1_37 + c_1_12·c_1_25·c_1_36
       + c_1_12·c_1_26·c_1_35 + c_1_12·c_1_27·c_1_34 + c_1_12·c_1_28·c_1_33
       + c_1_12·c_1_210·c_1_3 + c_1_12·c_1_211 + c_1_13·c_1_2·c_1_39
       + c_1_13·c_1_24·c_1_36 + c_1_13·c_1_25·c_1_35 + c_1_13·c_1_26·c_1_34
       + c_1_13·c_1_28·c_1_32 + c_1_13·c_1_29·c_1_3 + c_1_14·c_1_2·c_1_38
       + c_1_14·c_1_26·c_1_33 + c_1_15·c_1_38 + c_1_15·c_1_22·c_1_36
       + c_1_15·c_1_23·c_1_35 + c_1_15·c_1_24·c_1_34 + c_1_15·c_1_25·c_1_33
       + c_1_15·c_1_26·c_1_32 + c_1_15·c_1_28 + c_1_16·c_1_37
       + c_1_16·c_1_2·c_1_36 + c_1_16·c_1_22·c_1_35 + c_1_16·c_1_24·c_1_33
       + c_1_16·c_1_27 + c_1_18·c_1_35 + c_1_18·c_1_2·c_1_34
       + c_1_18·c_1_22·c_1_33 + c_1_18·c_1_23·c_1_32 + c_1_18·c_1_25
       + c_1_19·c_1_34 + c_1_19·c_1_22·c_1_32 + c_1_19·c_1_24 + c_1_110·c_1_33
       + c_1_110·c_1_22·c_1_3 + c_1_110·c_1_23 + c_1_0·c_1_2·c_1_311
       + c_1_0·c_1_23·c_1_39 + c_1_0·c_1_24·c_1_38 + c_1_0·c_1_29·c_1_33
       + c_1_0·c_1_1·c_1_311 + c_1_0·c_1_1·c_1_25·c_1_36 + c_1_0·c_1_1·c_1_26·c_1_35
       + c_1_0·c_1_1·c_1_28·c_1_33 + c_1_0·c_1_1·c_1_29·c_1_32
       + c_1_0·c_1_1·c_1_210·c_1_3 + c_1_0·c_1_1·c_1_211 + c_1_0·c_1_12·c_1_2·c_1_39
       + c_1_0·c_1_12·c_1_22·c_1_38 + c_1_0·c_1_12·c_1_24·c_1_36
       + c_1_0·c_1_12·c_1_25·c_1_35 + c_1_0·c_1_12·c_1_26·c_1_34
       + c_1_0·c_1_12·c_1_29·c_1_3 + c_1_0·c_1_18·c_1_34
       + c_1_0·c_1_18·c_1_22·c_1_32 + c_1_0·c_1_18·c_1_24 + c_1_02·c_1_311
       + c_1_02·c_1_23·c_1_38 + c_1_02·c_1_27·c_1_34 + c_1_02·c_1_210·c_1_3
       + c_1_02·c_1_211 + c_1_02·c_1_1·c_1_22·c_1_38 + c_1_02·c_1_1·c_1_28·c_1_32
       + c_1_02·c_1_12·c_1_22·c_1_37 + c_1_02·c_1_12·c_1_25·c_1_34
       + c_1_02·c_1_12·c_1_26·c_1_33 + c_1_02·c_1_12·c_1_27·c_1_32
       + c_1_02·c_1_14·c_1_37 + c_1_02·c_1_14·c_1_2·c_1_36
       + c_1_02·c_1_14·c_1_22·c_1_35 + c_1_02·c_1_14·c_1_24·c_1_33
       + c_1_02·c_1_14·c_1_27 + c_1_02·c_1_18·c_1_33
       + c_1_02·c_1_18·c_1_2·c_1_32 + c_1_02·c_1_18·c_1_23 + c_1_03·c_1_2·c_1_39
       + c_1_03·c_1_24·c_1_36 + c_1_03·c_1_25·c_1_35 + c_1_03·c_1_26·c_1_34
       + c_1_03·c_1_28·c_1_32 + c_1_03·c_1_29·c_1_3 + c_1_04·c_1_2·c_1_38
       + c_1_04·c_1_22·c_1_37 + c_1_04·c_1_23·c_1_36 + c_1_04·c_1_28·c_1_3
       + c_1_04·c_1_1·c_1_38 + c_1_04·c_1_1·c_1_22·c_1_36
       + c_1_04·c_1_1·c_1_23·c_1_35 + c_1_04·c_1_1·c_1_24·c_1_34
       + c_1_04·c_1_1·c_1_25·c_1_33 + c_1_04·c_1_1·c_1_26·c_1_32
       + c_1_04·c_1_1·c_1_28 + c_1_04·c_1_14·c_1_35 + c_1_04·c_1_14·c_1_24·c_1_3
       + c_1_04·c_1_14·c_1_25 + c_1_05·c_1_38 + c_1_05·c_1_22·c_1_36
       + c_1_05·c_1_23·c_1_35 + c_1_05·c_1_24·c_1_34 + c_1_05·c_1_25·c_1_33
       + c_1_05·c_1_26·c_1_32 + c_1_05·c_1_28 + c_1_06·c_1_37
       + c_1_06·c_1_2·c_1_36 + c_1_06·c_1_22·c_1_35 + c_1_06·c_1_24·c_1_33
       + c_1_06·c_1_27 + c_1_08·c_1_35 + c_1_08·c_1_23·c_1_32 + c_1_08·c_1_25
       + c_1_08·c_1_12·c_1_2·c_1_32 + c_1_08·c_1_12·c_1_22·c_1_3 + c_1_09·c_1_34
       + c_1_09·c_1_22·c_1_32 + c_1_09·c_1_24 + c_1_010·c_1_33
       + c_1_010·c_1_22·c_1_3 + c_1_010·c_1_23, an element of degree 13
  18. b_14_13c_1_22·c_1_312 + c_1_23·c_1_311 + c_1_24·c_1_310 + c_1_26·c_1_38
       + c_1_27·c_1_37 + c_1_29·c_1_35 + c_1_211·c_1_33 + c_1_212·c_1_32
       + c_1_1·c_1_22·c_1_311 + c_1_1·c_1_23·c_1_310 + c_1_1·c_1_26·c_1_37
       + c_1_1·c_1_29·c_1_34 + c_1_1·c_1_211·c_1_32 + c_1_1·c_1_212·c_1_3
       + c_1_12·c_1_312 + c_1_12·c_1_2·c_1_311 + c_1_12·c_1_24·c_1_38
       + c_1_12·c_1_25·c_1_37 + c_1_12·c_1_29·c_1_33 + c_1_12·c_1_210·c_1_32
       + c_1_12·c_1_212 + c_1_13·c_1_311 + c_1_13·c_1_2·c_1_310
       + c_1_13·c_1_24·c_1_37 + c_1_13·c_1_26·c_1_35 + c_1_13·c_1_27·c_1_34
       + c_1_13·c_1_29·c_1_32 + c_1_13·c_1_211 + c_1_14·c_1_310
       + c_1_14·c_1_22·c_1_38 + c_1_14·c_1_24·c_1_36 + c_1_14·c_1_25·c_1_35
       + c_1_14·c_1_26·c_1_34 + c_1_14·c_1_27·c_1_33 + c_1_14·c_1_28·c_1_32
       + c_1_14·c_1_29·c_1_3 + c_1_14·c_1_210 + c_1_16·c_1_38
       + c_1_16·c_1_22·c_1_36 + c_1_16·c_1_23·c_1_35 + c_1_16·c_1_24·c_1_34
       + c_1_16·c_1_25·c_1_33 + c_1_16·c_1_26·c_1_32 + c_1_16·c_1_28
       + c_1_18·c_1_2·c_1_35 + c_1_18·c_1_24·c_1_32 + c_1_19·c_1_35
       + c_1_19·c_1_24·c_1_3 + c_1_19·c_1_25 + c_1_112·c_1_32 + c_1_112·c_1_2·c_1_3
       + c_1_112·c_1_22 + c_1_0·c_1_2·c_1_312 + c_1_0·c_1_25·c_1_38
       + c_1_0·c_1_26·c_1_37 + c_1_0·c_1_27·c_1_36 + c_1_0·c_1_29·c_1_34
       + c_1_0·c_1_211·c_1_32 + c_1_0·c_1_1·c_1_312 + c_1_0·c_1_1·c_1_22·c_1_310
       + c_1_0·c_1_1·c_1_26·c_1_36 + c_1_0·c_1_1·c_1_210·c_1_32
       + c_1_0·c_1_1·c_1_212 + c_1_0·c_1_12·c_1_2·c_1_310
       + c_1_0·c_1_12·c_1_22·c_1_39 + c_1_0·c_1_12·c_1_23·c_1_38
       + c_1_0·c_1_12·c_1_28·c_1_33 + c_1_0·c_1_12·c_1_29·c_1_32
       + c_1_0·c_1_12·c_1_210·c_1_3 + c_1_0·c_1_14·c_1_39
       + c_1_0·c_1_14·c_1_22·c_1_37 + c_1_0·c_1_14·c_1_25·c_1_34
       + c_1_0·c_1_14·c_1_26·c_1_33 + c_1_0·c_1_14·c_1_27·c_1_32
       + c_1_0·c_1_14·c_1_28·c_1_3 + c_1_0·c_1_14·c_1_29 + c_1_02·c_1_312
       + c_1_02·c_1_2·c_1_311 + c_1_02·c_1_23·c_1_39 + c_1_02·c_1_25·c_1_37
       + c_1_02·c_1_26·c_1_36 + c_1_02·c_1_27·c_1_35 + c_1_02·c_1_28·c_1_34
       + c_1_02·c_1_29·c_1_33 + c_1_02·c_1_210·c_1_32 + c_1_02·c_1_211·c_1_3
       + c_1_02·c_1_212 + c_1_02·c_1_1·c_1_311 + c_1_02·c_1_1·c_1_22·c_1_39
       + c_1_02·c_1_1·c_1_23·c_1_38 + c_1_02·c_1_1·c_1_24·c_1_37
       + c_1_02·c_1_1·c_1_26·c_1_35 + c_1_02·c_1_1·c_1_27·c_1_34
       + c_1_02·c_1_1·c_1_28·c_1_33 + c_1_02·c_1_1·c_1_210·c_1_3
       + c_1_02·c_1_1·c_1_211 + c_1_02·c_1_12·c_1_310
       + c_1_02·c_1_12·c_1_28·c_1_32 + c_1_02·c_1_12·c_1_210
       + c_1_02·c_1_14·c_1_38 + c_1_02·c_1_14·c_1_24·c_1_34
       + c_1_02·c_1_14·c_1_28 + c_1_02·c_1_18·c_1_34
       + c_1_02·c_1_18·c_1_22·c_1_32 + c_1_02·c_1_18·c_1_24 + c_1_03·c_1_311
       + c_1_03·c_1_2·c_1_310 + c_1_03·c_1_24·c_1_37 + c_1_03·c_1_26·c_1_35
       + c_1_03·c_1_27·c_1_34 + c_1_03·c_1_29·c_1_32 + c_1_03·c_1_211
       + c_1_04·c_1_310 + c_1_04·c_1_2·c_1_39 + c_1_04·c_1_23·c_1_37
       + c_1_04·c_1_24·c_1_36 + c_1_04·c_1_25·c_1_35 + c_1_04·c_1_26·c_1_34
       + c_1_04·c_1_210 + c_1_04·c_1_1·c_1_39 + c_1_04·c_1_1·c_1_22·c_1_37
       + c_1_04·c_1_1·c_1_25·c_1_34 + c_1_04·c_1_1·c_1_26·c_1_33
       + c_1_04·c_1_1·c_1_27·c_1_32 + c_1_04·c_1_1·c_1_28·c_1_3
       + c_1_04·c_1_1·c_1_29 + c_1_04·c_1_12·c_1_22·c_1_36
       + c_1_04·c_1_12·c_1_23·c_1_35 + c_1_04·c_1_12·c_1_25·c_1_33
       + c_1_04·c_1_12·c_1_26·c_1_32 + c_1_04·c_1_18·c_1_32
       + c_1_04·c_1_18·c_1_2·c_1_3 + c_1_04·c_1_18·c_1_22 + c_1_06·c_1_38
       + c_1_06·c_1_22·c_1_36 + c_1_06·c_1_23·c_1_35 + c_1_06·c_1_24·c_1_34
       + c_1_06·c_1_25·c_1_33 + c_1_06·c_1_26·c_1_32 + c_1_06·c_1_28
       + c_1_08·c_1_2·c_1_35 + c_1_08·c_1_22·c_1_34 + c_1_08·c_1_24·c_1_32
       + c_1_08·c_1_25·c_1_3 + c_1_08·c_1_1·c_1_35 + c_1_08·c_1_1·c_1_24·c_1_3
       + c_1_08·c_1_1·c_1_25 + c_1_08·c_1_12·c_1_34
       + c_1_08·c_1_12·c_1_22·c_1_32 + c_1_08·c_1_12·c_1_24 + c_1_09·c_1_35
       + c_1_09·c_1_24·c_1_3 + c_1_09·c_1_25 + c_1_012·c_1_32 + c_1_012·c_1_2·c_1_3
       + c_1_012·c_1_22, an element of degree 14
  19. b_15_9c_1_22·c_1_313 + c_1_23·c_1_312 + c_1_24·c_1_311 + c_1_25·c_1_310
       + c_1_211·c_1_34 + c_1_213·c_1_32 + c_1_1·c_1_22·c_1_312
       + c_1_1·c_1_24·c_1_310 + c_1_1·c_1_25·c_1_39 + c_1_1·c_1_26·c_1_38
       + c_1_1·c_1_28·c_1_36 + c_1_1·c_1_29·c_1_35 + c_1_1·c_1_210·c_1_34
       + c_1_1·c_1_213·c_1_3 + c_1_12·c_1_313 + c_1_12·c_1_2·c_1_312
       + c_1_12·c_1_22·c_1_311 + c_1_12·c_1_27·c_1_36 + c_1_12·c_1_29·c_1_34
       + c_1_12·c_1_212·c_1_3 + c_1_12·c_1_213 + c_1_13·c_1_312
       + c_1_13·c_1_22·c_1_310 + c_1_13·c_1_23·c_1_39 + c_1_13·c_1_24·c_1_38
       + c_1_13·c_1_29·c_1_33 + c_1_13·c_1_210·c_1_32 + c_1_13·c_1_212
       + c_1_14·c_1_2·c_1_310 + c_1_14·c_1_22·c_1_39 + c_1_14·c_1_23·c_1_38
       + c_1_14·c_1_24·c_1_37 + c_1_14·c_1_26·c_1_35 + c_1_14·c_1_28·c_1_33
       + c_1_16·c_1_39 + c_1_16·c_1_2·c_1_38 + c_1_16·c_1_23·c_1_36
       + c_1_16·c_1_24·c_1_35 + c_1_16·c_1_25·c_1_34 + c_1_16·c_1_26·c_1_33
       + c_1_16·c_1_29 + c_1_18·c_1_37 + c_1_18·c_1_23·c_1_34
       + c_1_18·c_1_24·c_1_33 + c_1_18·c_1_25·c_1_32 + c_1_18·c_1_27
       + c_1_19·c_1_36 + c_1_19·c_1_2·c_1_35 + c_1_19·c_1_22·c_1_34
       + c_1_19·c_1_23·c_1_33 + c_1_19·c_1_24·c_1_32 + c_1_19·c_1_25·c_1_3
       + c_1_19·c_1_26 + c_1_112·c_1_33 + c_1_112·c_1_22·c_1_3 + c_1_112·c_1_23
       + c_1_0·c_1_2·c_1_313 + c_1_0·c_1_25·c_1_39 + c_1_0·c_1_26·c_1_38
       + c_1_0·c_1_29·c_1_35 + c_1_0·c_1_210·c_1_34 + c_1_0·c_1_212·c_1_32
       + c_1_0·c_1_1·c_1_313 + c_1_0·c_1_1·c_1_22·c_1_311
       + c_1_0·c_1_1·c_1_23·c_1_310 + c_1_0·c_1_1·c_1_28·c_1_35
       + c_1_0·c_1_1·c_1_211·c_1_32 + c_1_0·c_1_1·c_1_212·c_1_3 + c_1_0·c_1_1·c_1_213
       + c_1_0·c_1_12·c_1_2·c_1_311 + c_1_0·c_1_12·c_1_23·c_1_39
       + c_1_0·c_1_12·c_1_24·c_1_38 + c_1_0·c_1_12·c_1_28·c_1_34
       + c_1_0·c_1_12·c_1_210·c_1_32 + c_1_0·c_1_12·c_1_211·c_1_3
       + c_1_0·c_1_14·c_1_310 + c_1_0·c_1_14·c_1_28·c_1_32 + c_1_0·c_1_14·c_1_210
       + c_1_02·c_1_313 + c_1_02·c_1_2·c_1_312 + c_1_02·c_1_23·c_1_310
       + c_1_02·c_1_25·c_1_38 + c_1_02·c_1_26·c_1_37 + c_1_02·c_1_28·c_1_35
       + c_1_02·c_1_210·c_1_33 + c_1_02·c_1_211·c_1_32 + c_1_02·c_1_213
       + c_1_02·c_1_1·c_1_312 + c_1_02·c_1_1·c_1_2·c_1_311
       + c_1_02·c_1_1·c_1_22·c_1_310 + c_1_02·c_1_1·c_1_28·c_1_34
       + c_1_02·c_1_1·c_1_29·c_1_33 + c_1_02·c_1_1·c_1_211·c_1_3
       + c_1_02·c_1_1·c_1_212 + c_1_02·c_1_12·c_1_2·c_1_310
       + c_1_02·c_1_12·c_1_24·c_1_37 + c_1_02·c_1_12·c_1_25·c_1_36
       + c_1_02·c_1_12·c_1_27·c_1_34 + c_1_02·c_1_12·c_1_28·c_1_33
       + c_1_02·c_1_12·c_1_210·c_1_3 + c_1_02·c_1_14·c_1_2·c_1_38
       + c_1_02·c_1_14·c_1_23·c_1_36 + c_1_02·c_1_14·c_1_24·c_1_35
       + c_1_02·c_1_14·c_1_25·c_1_34 + c_1_02·c_1_14·c_1_26·c_1_33
       + c_1_02·c_1_14·c_1_28·c_1_3 + c_1_02·c_1_18·c_1_35
       + c_1_02·c_1_18·c_1_2·c_1_34 + c_1_02·c_1_18·c_1_25 + c_1_03·c_1_312
       + c_1_03·c_1_22·c_1_310 + c_1_03·c_1_23·c_1_39 + c_1_03·c_1_24·c_1_38
       + c_1_03·c_1_29·c_1_33 + c_1_03·c_1_210·c_1_32 + c_1_03·c_1_212
       + c_1_04·c_1_22·c_1_39 + c_1_04·c_1_26·c_1_35 + c_1_04·c_1_27·c_1_34
       + c_1_04·c_1_28·c_1_33 + c_1_04·c_1_29·c_1_32 + c_1_04·c_1_210·c_1_3
       + c_1_04·c_1_1·c_1_310 + c_1_04·c_1_1·c_1_28·c_1_32 + c_1_04·c_1_1·c_1_210
       + c_1_04·c_1_12·c_1_39 + c_1_04·c_1_12·c_1_28·c_1_3 + c_1_04·c_1_12·c_1_29
       + c_1_04·c_1_14·c_1_37 + c_1_04·c_1_14·c_1_2·c_1_36
       + c_1_04·c_1_14·c_1_22·c_1_35 + c_1_04·c_1_14·c_1_24·c_1_33
       + c_1_04·c_1_14·c_1_27 + c_1_04·c_1_18·c_1_33 + c_1_04·c_1_18·c_1_22·c_1_3
       + c_1_04·c_1_18·c_1_23 + c_1_06·c_1_39 + c_1_06·c_1_2·c_1_38
       + c_1_06·c_1_23·c_1_36 + c_1_06·c_1_24·c_1_35 + c_1_06·c_1_25·c_1_34
       + c_1_06·c_1_26·c_1_33 + c_1_06·c_1_29 + c_1_08·c_1_37
       + c_1_08·c_1_22·c_1_35 + c_1_08·c_1_25·c_1_32 + c_1_08·c_1_26·c_1_3
       + c_1_08·c_1_27 + c_1_08·c_1_1·c_1_36 + c_1_08·c_1_1·c_1_2·c_1_35
       + c_1_08·c_1_1·c_1_22·c_1_34 + c_1_08·c_1_1·c_1_23·c_1_33
       + c_1_08·c_1_1·c_1_24·c_1_32 + c_1_08·c_1_1·c_1_25·c_1_3
       + c_1_08·c_1_1·c_1_26 + c_1_08·c_1_12·c_1_35 + c_1_08·c_1_12·c_1_2·c_1_34
       + c_1_08·c_1_12·c_1_25 + c_1_09·c_1_36 + c_1_09·c_1_2·c_1_35
       + c_1_09·c_1_22·c_1_34 + c_1_09·c_1_23·c_1_33 + c_1_09·c_1_24·c_1_32
       + c_1_09·c_1_25·c_1_3 + c_1_09·c_1_26 + c_1_012·c_1_33 + c_1_012·c_1_22·c_1_3
       + c_1_012·c_1_23, an element of degree 15
  20. b_15_8c_1_22·c_1_313 + c_1_24·c_1_311 + c_1_210·c_1_35 + c_1_211·c_1_34
       + c_1_212·c_1_33 + c_1_213·c_1_32 + c_1_1·c_1_24·c_1_310
       + c_1_1·c_1_25·c_1_39 + c_1_1·c_1_29·c_1_35 + c_1_1·c_1_213·c_1_3
       + c_1_12·c_1_313 + c_1_12·c_1_23·c_1_310 + c_1_12·c_1_24·c_1_39
       + c_1_12·c_1_29·c_1_34 + c_1_12·c_1_210·c_1_33 + c_1_12·c_1_211·c_1_32
       + c_1_12·c_1_213 + c_1_13·c_1_22·c_1_310 + c_1_13·c_1_23·c_1_39
       + c_1_13·c_1_29·c_1_33 + c_1_13·c_1_210·c_1_32 + c_1_14·c_1_311
       + c_1_14·c_1_2·c_1_310 + c_1_14·c_1_22·c_1_39 + c_1_14·c_1_23·c_1_38
       + c_1_14·c_1_28·c_1_33 + c_1_14·c_1_29·c_1_32 + c_1_14·c_1_211
       + c_1_16·c_1_2·c_1_38 + c_1_16·c_1_28·c_1_3 + c_1_18·c_1_22·c_1_35
       + c_1_18·c_1_24·c_1_33 + c_1_19·c_1_2·c_1_35 + c_1_19·c_1_23·c_1_33
       + c_1_19·c_1_24·c_1_32 + c_1_19·c_1_25·c_1_3 + c_1_112·c_1_2·c_1_32
       + c_1_112·c_1_22·c_1_3 + c_1_0·c_1_2·c_1_313 + c_1_0·c_1_22·c_1_312
       + c_1_0·c_1_24·c_1_310 + c_1_0·c_1_25·c_1_39 + c_1_0·c_1_29·c_1_35
       + c_1_0·c_1_210·c_1_34 + c_1_0·c_1_1·c_1_313 + c_1_0·c_1_1·c_1_25·c_1_38
       + c_1_0·c_1_1·c_1_29·c_1_34 + c_1_0·c_1_1·c_1_212·c_1_3 + c_1_0·c_1_1·c_1_213
       + c_1_0·c_1_12·c_1_312 + c_1_0·c_1_12·c_1_22·c_1_310
       + c_1_0·c_1_12·c_1_24·c_1_38 + c_1_0·c_1_12·c_1_26·c_1_36
       + c_1_0·c_1_12·c_1_28·c_1_34 + c_1_0·c_1_12·c_1_210·c_1_32
       + c_1_0·c_1_12·c_1_212 + c_1_0·c_1_14·c_1_2·c_1_39
       + c_1_0·c_1_14·c_1_24·c_1_36 + c_1_0·c_1_14·c_1_25·c_1_35
       + c_1_0·c_1_14·c_1_26·c_1_34 + c_1_0·c_1_14·c_1_28·c_1_32
       + c_1_0·c_1_14·c_1_29·c_1_3 + c_1_02·c_1_313 + c_1_02·c_1_2·c_1_312
       + c_1_02·c_1_22·c_1_311 + c_1_02·c_1_23·c_1_310 + c_1_02·c_1_25·c_1_38
       + c_1_02·c_1_28·c_1_35 + c_1_02·c_1_210·c_1_33 + c_1_02·c_1_212·c_1_3
       + c_1_02·c_1_213 + c_1_02·c_1_1·c_1_312 + c_1_02·c_1_1·c_1_23·c_1_39
       + c_1_02·c_1_1·c_1_24·c_1_38 + c_1_02·c_1_1·c_1_26·c_1_36
       + c_1_02·c_1_1·c_1_28·c_1_34 + c_1_02·c_1_1·c_1_29·c_1_33
       + c_1_02·c_1_1·c_1_212 + c_1_02·c_1_12·c_1_311
       + c_1_02·c_1_12·c_1_2·c_1_310 + c_1_02·c_1_12·c_1_22·c_1_39
       + c_1_02·c_1_12·c_1_28·c_1_33 + c_1_02·c_1_12·c_1_211
       + c_1_02·c_1_14·c_1_2·c_1_38 + c_1_02·c_1_14·c_1_23·c_1_36
       + c_1_02·c_1_14·c_1_24·c_1_35 + c_1_02·c_1_14·c_1_25·c_1_34
       + c_1_02·c_1_14·c_1_26·c_1_33 + c_1_02·c_1_14·c_1_28·c_1_3
       + c_1_02·c_1_18·c_1_2·c_1_34 + c_1_02·c_1_18·c_1_24·c_1_3
       + c_1_03·c_1_22·c_1_310 + c_1_03·c_1_23·c_1_39 + c_1_03·c_1_29·c_1_33
       + c_1_03·c_1_210·c_1_32 + c_1_04·c_1_311 + c_1_04·c_1_2·c_1_310
       + c_1_04·c_1_211 + c_1_04·c_1_1·c_1_2·c_1_39 + c_1_04·c_1_1·c_1_24·c_1_36
       + c_1_04·c_1_1·c_1_25·c_1_35 + c_1_04·c_1_1·c_1_26·c_1_34
       + c_1_04·c_1_1·c_1_28·c_1_32 + c_1_04·c_1_1·c_1_29·c_1_3
       + c_1_04·c_1_12·c_1_23·c_1_36 + c_1_04·c_1_12·c_1_24·c_1_35
       + c_1_04·c_1_12·c_1_25·c_1_34 + c_1_04·c_1_12·c_1_26·c_1_33
       + c_1_04·c_1_18·c_1_2·c_1_32 + c_1_04·c_1_18·c_1_22·c_1_3
       + c_1_06·c_1_2·c_1_38 + c_1_06·c_1_28·c_1_3 + c_1_08·c_1_22·c_1_35
       + c_1_08·c_1_23·c_1_34 + c_1_08·c_1_24·c_1_33 + c_1_08·c_1_25·c_1_32
       + c_1_08·c_1_1·c_1_2·c_1_35 + c_1_08·c_1_1·c_1_23·c_1_33
       + c_1_08·c_1_1·c_1_24·c_1_32 + c_1_08·c_1_1·c_1_25·c_1_3
       + c_1_08·c_1_12·c_1_2·c_1_34 + c_1_08·c_1_12·c_1_24·c_1_3
       + c_1_09·c_1_2·c_1_35 + c_1_09·c_1_23·c_1_33 + c_1_09·c_1_24·c_1_32
       + c_1_09·c_1_25·c_1_3 + c_1_012·c_1_2·c_1_32 + c_1_012·c_1_22·c_1_3, an element of degree 15
  21. b_18_13c_1_22·c_1_316 + c_1_23·c_1_315 + c_1_27·c_1_311 + c_1_212·c_1_36
       + c_1_213·c_1_35 + c_1_214·c_1_34 + c_1_215·c_1_33 + c_1_216·c_1_32
       + c_1_1·c_1_22·c_1_315 + c_1_1·c_1_23·c_1_314 + c_1_1·c_1_25·c_1_312
       + c_1_1·c_1_26·c_1_311 + c_1_1·c_1_27·c_1_310 + c_1_1·c_1_28·c_1_39
       + c_1_1·c_1_29·c_1_38 + c_1_1·c_1_210·c_1_37 + c_1_1·c_1_211·c_1_36
       + c_1_1·c_1_212·c_1_35 + c_1_1·c_1_214·c_1_33 + c_1_1·c_1_216·c_1_3
       + c_1_12·c_1_316 + c_1_12·c_1_2·c_1_315 + c_1_12·c_1_22·c_1_314
       + c_1_12·c_1_25·c_1_311 + c_1_12·c_1_26·c_1_310 + c_1_12·c_1_28·c_1_38
       + c_1_12·c_1_29·c_1_37 + c_1_12·c_1_210·c_1_36 + c_1_12·c_1_212·c_1_34
       + c_1_12·c_1_215·c_1_3 + c_1_12·c_1_216 + c_1_13·c_1_315
       + c_1_13·c_1_2·c_1_314 + c_1_13·c_1_26·c_1_39 + c_1_13·c_1_27·c_1_38
       + c_1_13·c_1_28·c_1_37 + c_1_13·c_1_29·c_1_36 + c_1_13·c_1_210·c_1_35
       + c_1_13·c_1_211·c_1_34 + c_1_13·c_1_212·c_1_33 + c_1_13·c_1_213·c_1_32
       + c_1_13·c_1_215 + c_1_14·c_1_314 + c_1_14·c_1_23·c_1_311
       + c_1_14·c_1_24·c_1_310 + c_1_14·c_1_27·c_1_37 + c_1_14·c_1_212·c_1_32
       + c_1_14·c_1_213·c_1_3 + c_1_14·c_1_214 + c_1_15·c_1_2·c_1_312
       + c_1_15·c_1_22·c_1_311 + c_1_15·c_1_25·c_1_38 + c_1_15·c_1_29·c_1_34
       + c_1_15·c_1_210·c_1_33 + c_1_15·c_1_211·c_1_32 + c_1_16·c_1_2·c_1_311
       + c_1_16·c_1_24·c_1_38 + c_1_16·c_1_26·c_1_36 + c_1_16·c_1_28·c_1_34
       + c_1_16·c_1_29·c_1_33 + c_1_16·c_1_211·c_1_3 + c_1_17·c_1_2·c_1_310
       + c_1_17·c_1_22·c_1_39 + c_1_17·c_1_23·c_1_38 + c_1_17·c_1_28·c_1_33
       + c_1_18·c_1_22·c_1_38 + c_1_18·c_1_26·c_1_34 + c_1_18·c_1_27·c_1_33
       + c_1_18·c_1_28·c_1_32 + c_1_19·c_1_39 + c_1_19·c_1_25·c_1_34
       + c_1_19·c_1_27·c_1_32 + c_1_19·c_1_28·c_1_3 + c_1_19·c_1_29
       + c_1_110·c_1_38 + c_1_110·c_1_22·c_1_36 + c_1_110·c_1_23·c_1_35
       + c_1_110·c_1_24·c_1_34 + c_1_110·c_1_25·c_1_33 + c_1_110·c_1_27·c_1_3
       + c_1_110·c_1_28 + c_1_111·c_1_25·c_1_32 + c_1_111·c_1_26·c_1_3
       + c_1_112·c_1_22·c_1_34 + c_1_112·c_1_24·c_1_32 + c_1_113·c_1_2·c_1_34
       + c_1_113·c_1_23·c_1_32 + c_1_114·c_1_22·c_1_32 + c_1_114·c_1_23·c_1_3
       + c_1_115·c_1_2·c_1_32 + c_1_115·c_1_22·c_1_3 + c_1_116·c_1_32
       + c_1_116·c_1_2·c_1_3 + c_1_116·c_1_22 + c_1_0·c_1_2·c_1_316
       + c_1_0·c_1_22·c_1_315 + c_1_0·c_1_25·c_1_312 + c_1_0·c_1_28·c_1_39
       + c_1_0·c_1_29·c_1_38 + c_1_0·c_1_212·c_1_35 + c_1_0·c_1_213·c_1_34
       + c_1_0·c_1_215·c_1_32 + c_1_0·c_1_1·c_1_316 + c_1_0·c_1_1·c_1_24·c_1_312
       + c_1_0·c_1_1·c_1_26·c_1_310 + c_1_0·c_1_1·c_1_28·c_1_38
       + c_1_0·c_1_1·c_1_210·c_1_36 + c_1_0·c_1_1·c_1_212·c_1_34
       + c_1_0·c_1_1·c_1_216 + c_1_0·c_1_12·c_1_315 + c_1_0·c_1_12·c_1_22·c_1_313
       + c_1_0·c_1_12·c_1_25·c_1_310 + c_1_0·c_1_12·c_1_26·c_1_39
       + c_1_0·c_1_12·c_1_27·c_1_38 + c_1_0·c_1_12·c_1_29·c_1_36
       + c_1_0·c_1_12·c_1_211·c_1_34 + c_1_0·c_1_12·c_1_214·c_1_3
       + c_1_0·c_1_12·c_1_215 + c_1_0·c_1_13·c_1_24·c_1_310
       + c_1_0·c_1_13·c_1_28·c_1_36 + c_1_0·c_1_13·c_1_210·c_1_34
       + c_1_0·c_1_13·c_1_212·c_1_32 + c_1_0·c_1_14·c_1_313
       + c_1_0·c_1_14·c_1_2·c_1_312 + c_1_0·c_1_14·c_1_23·c_1_310
       + c_1_0·c_1_14·c_1_29·c_1_34 + c_1_0·c_1_14·c_1_210·c_1_33
       + c_1_0·c_1_14·c_1_212·c_1_3 + c_1_0·c_1_14·c_1_213 + c_1_0·c_1_15·c_1_312
       + c_1_0·c_1_15·c_1_22·c_1_310 + c_1_0·c_1_15·c_1_212
       + c_1_0·c_1_16·c_1_22·c_1_39 + c_1_0·c_1_16·c_1_23·c_1_38
       + c_1_0·c_1_16·c_1_29·c_1_32 + c_1_0·c_1_16·c_1_210·c_1_3
       + c_1_0·c_1_17·c_1_310 + c_1_0·c_1_17·c_1_28·c_1_32 + c_1_0·c_1_17·c_1_210
       + c_1_0·c_1_18·c_1_39 + c_1_0·c_1_18·c_1_22·c_1_37
       + c_1_0·c_1_18·c_1_24·c_1_35 + c_1_0·c_1_18·c_1_25·c_1_34
       + c_1_0·c_1_18·c_1_27·c_1_32 + c_1_0·c_1_18·c_1_28·c_1_3
       + c_1_0·c_1_18·c_1_29 + c_1_0·c_1_19·c_1_22·c_1_36
       + c_1_0·c_1_19·c_1_26·c_1_32 + c_1_0·c_1_110·c_1_37
       + c_1_0·c_1_110·c_1_2·c_1_36 + c_1_0·c_1_110·c_1_24·c_1_33
       + c_1_0·c_1_110·c_1_26·c_1_3 + c_1_0·c_1_110·c_1_27 + c_1_0·c_1_111·c_1_36
       + c_1_0·c_1_111·c_1_22·c_1_34 + c_1_0·c_1_111·c_1_26
       + c_1_0·c_1_112·c_1_22·c_1_33 + c_1_0·c_1_112·c_1_24·c_1_3
       + c_1_0·c_1_113·c_1_34 + c_1_0·c_1_113·c_1_22·c_1_32 + c_1_0·c_1_113·c_1_24
       + c_1_0·c_1_114·c_1_33 + c_1_0·c_1_114·c_1_2·c_1_32 + c_1_0·c_1_114·c_1_23
       + c_1_02·c_1_316 + c_1_02·c_1_23·c_1_313 + c_1_02·c_1_24·c_1_312
       + c_1_02·c_1_28·c_1_38 + c_1_02·c_1_213·c_1_33 + c_1_02·c_1_215·c_1_3
       + c_1_02·c_1_216 + c_1_02·c_1_1·c_1_2·c_1_314 + c_1_02·c_1_1·c_1_22·c_1_313
       + c_1_02·c_1_1·c_1_25·c_1_310 + c_1_02·c_1_1·c_1_27·c_1_38
       + c_1_02·c_1_1·c_1_28·c_1_37 + c_1_02·c_1_1·c_1_29·c_1_36
       + c_1_02·c_1_1·c_1_213·c_1_32 + c_1_02·c_1_1·c_1_214·c_1_3
       + c_1_02·c_1_12·c_1_314 + c_1_02·c_1_12·c_1_22·c_1_312
       + c_1_02·c_1_12·c_1_23·c_1_311 + c_1_02·c_1_12·c_1_24·c_1_310
       + c_1_02·c_1_12·c_1_27·c_1_37 + c_1_02·c_1_12·c_1_28·c_1_36
       + c_1_02·c_1_12·c_1_29·c_1_35 + c_1_02·c_1_12·c_1_211·c_1_33
       + c_1_02·c_1_12·c_1_214 + c_1_02·c_1_13·c_1_24·c_1_39
       + c_1_02·c_1_13·c_1_28·c_1_35 + c_1_02·c_1_13·c_1_29·c_1_34
       + c_1_02·c_1_13·c_1_212·c_1_3 + c_1_02·c_1_14·c_1_2·c_1_311
       + c_1_02·c_1_14·c_1_23·c_1_39 + c_1_02·c_1_14·c_1_210·c_1_32
       + c_1_02·c_1_14·c_1_211·c_1_3 + c_1_02·c_1_15·c_1_2·c_1_310
       + c_1_02·c_1_15·c_1_23·c_1_38 + c_1_02·c_1_15·c_1_29·c_1_32
       + c_1_02·c_1_15·c_1_210·c_1_3 + c_1_02·c_1_16·c_1_310
       + c_1_02·c_1_16·c_1_2·c_1_39 + c_1_02·c_1_16·c_1_22·c_1_38
       + c_1_02·c_1_16·c_1_28·c_1_32 + c_1_02·c_1_16·c_1_210
       + c_1_02·c_1_17·c_1_39 + c_1_02·c_1_17·c_1_28·c_1_3 + c_1_02·c_1_17·c_1_29
       + c_1_02·c_1_18·c_1_38 + c_1_02·c_1_18·c_1_2·c_1_37
       + c_1_02·c_1_18·c_1_23·c_1_35 + c_1_02·c_1_18·c_1_25·c_1_33
       + c_1_02·c_1_18·c_1_26·c_1_32 + c_1_02·c_1_18·c_1_27·c_1_3
       + c_1_02·c_1_18·c_1_28 + c_1_02·c_1_19·c_1_37
       + c_1_02·c_1_19·c_1_22·c_1_35 + c_1_02·c_1_19·c_1_24·c_1_33
       + c_1_02·c_1_19·c_1_25·c_1_32 + c_1_02·c_1_19·c_1_27
       + c_1_02·c_1_110·c_1_2·c_1_35 + c_1_02·c_1_110·c_1_25·c_1_3
       + c_1_02·c_1_111·c_1_35 + c_1_02·c_1_111·c_1_2·c_1_34
       + c_1_02·c_1_111·c_1_25 + c_1_02·c_1_112·c_1_2·c_1_33
       + c_1_02·c_1_112·c_1_22·c_1_32 + c_1_02·c_1_113·c_1_33
       + c_1_02·c_1_113·c_1_22·c_1_3 + c_1_02·c_1_113·c_1_23
       + c_1_02·c_1_114·c_1_32 + c_1_02·c_1_114·c_1_2·c_1_3
       + c_1_02·c_1_114·c_1_22 + c_1_03·c_1_315 + c_1_03·c_1_2·c_1_314
       + c_1_03·c_1_23·c_1_312 + c_1_03·c_1_25·c_1_310 + c_1_03·c_1_211·c_1_34
       + c_1_03·c_1_213·c_1_32 + c_1_03·c_1_215 + c_1_03·c_1_1·c_1_22·c_1_312
       + c_1_03·c_1_1·c_1_26·c_1_38 + c_1_03·c_1_1·c_1_28·c_1_36
       + c_1_03·c_1_1·c_1_210·c_1_34 + c_1_03·c_1_12·c_1_2·c_1_312
       + c_1_03·c_1_12·c_1_25·c_1_38 + c_1_03·c_1_12·c_1_28·c_1_35
       + c_1_03·c_1_12·c_1_29·c_1_34 + c_1_03·c_1_13·c_1_312
       + c_1_03·c_1_13·c_1_28·c_1_34 + c_1_03·c_1_13·c_1_212
       + c_1_03·c_1_15·c_1_22·c_1_38 + c_1_03·c_1_15·c_1_28·c_1_32
       + c_1_03·c_1_16·c_1_2·c_1_38 + c_1_03·c_1_16·c_1_28·c_1_3
       + c_1_03·c_1_18·c_1_37 + c_1_03·c_1_18·c_1_2·c_1_36
       + c_1_03·c_1_18·c_1_22·c_1_35 + c_1_03·c_1_18·c_1_23·c_1_34
       + c_1_03·c_1_18·c_1_25·c_1_32 + c_1_03·c_1_18·c_1_26·c_1_3
       + c_1_03·c_1_18·c_1_27 + c_1_03·c_1_19·c_1_36
       + c_1_03·c_1_19·c_1_24·c_1_32 + c_1_03·c_1_19·c_1_26
       + c_1_03·c_1_110·c_1_35 + c_1_03·c_1_110·c_1_24·c_1_3
       + c_1_03·c_1_110·c_1_25 + c_1_03·c_1_112·c_1_2·c_1_32
       + c_1_03·c_1_112·c_1_22·c_1_3 + c_1_04·c_1_314 + c_1_04·c_1_2·c_1_313
       + c_1_04·c_1_22·c_1_312 + c_1_04·c_1_25·c_1_39 + c_1_04·c_1_27·c_1_37
       + c_1_04·c_1_28·c_1_36 + c_1_04·c_1_29·c_1_35 + c_1_04·c_1_210·c_1_34
       + c_1_04·c_1_211·c_1_33 + c_1_04·c_1_212·c_1_32 + c_1_04·c_1_214
       + c_1_04·c_1_1·c_1_313 + c_1_04·c_1_1·c_1_2·c_1_312
       + c_1_04·c_1_1·c_1_22·c_1_311 + c_1_04·c_1_1·c_1_23·c_1_310
       + c_1_04·c_1_1·c_1_24·c_1_39 + c_1_04·c_1_1·c_1_25·c_1_38
       + c_1_04·c_1_1·c_1_211·c_1_32 + c_1_04·c_1_1·c_1_212·c_1_3
       + c_1_04·c_1_1·c_1_213 + c_1_04·c_1_12·c_1_312
       + c_1_04·c_1_12·c_1_23·c_1_39 + c_1_04·c_1_12·c_1_24·c_1_38
       + c_1_04·c_1_12·c_1_26·c_1_36 + c_1_04·c_1_12·c_1_29·c_1_33
       + c_1_04·c_1_12·c_1_210·c_1_32 + c_1_04·c_1_12·c_1_212
       + c_1_04·c_1_13·c_1_2·c_1_310 + c_1_04·c_1_13·c_1_22·c_1_39
       + c_1_04·c_1_13·c_1_23·c_1_38 + c_1_04·c_1_13·c_1_28·c_1_33
       + c_1_04·c_1_14·c_1_2·c_1_39 + c_1_04·c_1_14·c_1_22·c_1_38
       + c_1_04·c_1_14·c_1_24·c_1_36 + c_1_04·c_1_14·c_1_25·c_1_35
       + c_1_04·c_1_14·c_1_26·c_1_34 + c_1_04·c_1_14·c_1_28·c_1_32
       + c_1_04·c_1_15·c_1_2·c_1_38 + c_1_04·c_1_15·c_1_28·c_1_3
       + c_1_04·c_1_18·c_1_24·c_1_32 + c_1_04·c_1_18·c_1_25·c_1_3
       + c_1_04·c_1_19·c_1_23·c_1_32 + c_1_04·c_1_19·c_1_24·c_1_3
       + c_1_04·c_1_110·c_1_22·c_1_32 + c_1_04·c_1_110·c_1_23·c_1_3
       + c_1_04·c_1_111·c_1_2·c_1_32 + c_1_04·c_1_111·c_1_22·c_1_3
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       + c_1_05·c_1_1·c_1_312 + c_1_05·c_1_1·c_1_22·c_1_310
       + c_1_05·c_1_1·c_1_24·c_1_38 + c_1_05·c_1_1·c_1_210·c_1_32
       + c_1_05·c_1_1·c_1_212 + c_1_05·c_1_12·c_1_2·c_1_310
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       + c_1_06·c_1_110·c_1_32 + c_1_06·c_1_110·c_1_2·c_1_3
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       + c_1_07·c_1_12·c_1_28·c_1_3 + c_1_07·c_1_12·c_1_29
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       + c_1_08·c_1_13·c_1_26·c_1_3 + c_1_08·c_1_13·c_1_27
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       + c_1_08·c_1_16·c_1_34 + c_1_08·c_1_16·c_1_22·c_1_32
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       + c_1_08·c_1_18·c_1_22 + c_1_09·c_1_39 + c_1_09·c_1_22·c_1_37
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       + c_1_09·c_1_13·c_1_22·c_1_34 + c_1_09·c_1_13·c_1_24·c_1_32
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       + c_1_010·c_1_38 + c_1_010·c_1_2·c_1_37 + c_1_010·c_1_23·c_1_35
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       + c_1_010·c_1_1·c_1_27 + c_1_010·c_1_12·c_1_36
       + c_1_010·c_1_12·c_1_22·c_1_34 + c_1_010·c_1_12·c_1_24·c_1_32
       + c_1_010·c_1_12·c_1_25·c_1_3 + c_1_010·c_1_12·c_1_26
       + c_1_010·c_1_13·c_1_2·c_1_34 + c_1_010·c_1_13·c_1_24·c_1_3
       + c_1_011·c_1_2·c_1_36 + c_1_011·c_1_22·c_1_35 + c_1_011·c_1_1·c_1_36
       + c_1_011·c_1_1·c_1_22·c_1_34 + c_1_011·c_1_1·c_1_26
       + c_1_011·c_1_12·c_1_35 + c_1_011·c_1_12·c_1_2·c_1_34
       + c_1_011·c_1_12·c_1_25 + c_1_012·c_1_22·c_1_34 + c_1_012·c_1_24·c_1_32
       + c_1_012·c_1_1·c_1_23·c_1_32 + c_1_012·c_1_1·c_1_24·c_1_3
       + c_1_012·c_1_12·c_1_34 + c_1_012·c_1_12·c_1_23·c_1_3
       + c_1_012·c_1_12·c_1_24 + c_1_012·c_1_13·c_1_2·c_1_32
       + c_1_012·c_1_13·c_1_22·c_1_3 + c_1_012·c_1_14·c_1_32
       + c_1_012·c_1_14·c_1_2·c_1_3 + c_1_012·c_1_14·c_1_22
       + c_1_013·c_1_22·c_1_33 + c_1_013·c_1_24·c_1_3 + c_1_013·c_1_1·c_1_34
       + c_1_013·c_1_1·c_1_22·c_1_32 + c_1_013·c_1_1·c_1_24
       + c_1_013·c_1_12·c_1_33 + c_1_013·c_1_12·c_1_2·c_1_32
       + c_1_013·c_1_12·c_1_23 + c_1_014·c_1_2·c_1_33 + c_1_014·c_1_22·c_1_32
       + c_1_014·c_1_1·c_1_33 + c_1_014·c_1_1·c_1_22·c_1_3 + c_1_014·c_1_1·c_1_23
       + c_1_014·c_1_12·c_1_32 + c_1_014·c_1_12·c_1_2·c_1_3
       + c_1_014·c_1_12·c_1_22 + c_1_015·c_1_2·c_1_32 + c_1_015·c_1_22·c_1_3
       + c_1_016·c_1_32 + c_1_016·c_1_2·c_1_3 + c_1_016·c_1_22, an element of degree 18


About the group Ring generators Ring relations Completion information Restriction maps




Simon King
Department of Mathematics and Computer Science
Friedrich-Schiller-Universität Jena
07737 Jena
GERMANY
E-mail: simon dot king at uni hyphen jena dot de
Tel: +49 (0)3641 9-46161
Fax: +49 (0)3641 9-46162
Office: Zi. 3529, Ernst-Abbe-Platz 2



Last change: 14.12.2010