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Cohomology of group number 1752 of order 128
| About the group | Ring generators | Ring relations | Completion information | Restriction maps | Back to groups of order 128 |
General information on the group
- The group has 4 minimal generators and exponent 8.
- It is non-abelian.
- It has p-Rank 3.
- Its center has rank 1.
- It has 4 conjugacy classes of maximal elementary abelian subgroups, which are all of rank 3.
Structure of the cohomology ring
General information
- The cohomology ring is of dimension 3 and depth 2.
- The depth exceeds the Duflot bound, which is 1.
- The Poincaré series is
( − 1) · (t14 + t13 + t12 + 2·t11 + t10 + 2·t9 + t6 + t5 + 2·t4 + t3 + 2·t2 + t + 1) (t − 1)3 · (t2 + 1) · (t4 + 1) · (t8 + 1) - The a-invariants are -∞,-∞,-5,-3. They were obtained using the filter regular HSOP of the Benson test.
| About the group | Ring generators | Ring relations | Completion information | Restriction maps | Back to groups of order 128 |
Ring generators
The cohomology ring has 12 minimal generators of maximal degree 16:
-
b_1_0 , an element of degree 1 -
b_1_1 , an element of degree 1 -
b_1_2 , an element of degree 1 -
b_1_3 , an element of degree 1 -
a_2_5 , a nilpotent element of degree 2 -
b_2_9 , an element of degree 2 -
b_5_45 , an element of degree 5 -
b_9_116 , an element of degree 9 -
b_9_117 , an element of degree 9 -
b_9_118 , an element of degree 9 -
a_10_121 , a nilpotent element of degree 10 -
c_16_329 , a Duflot regular element of degree 16
| About the group | Ring generators | Ring relations | Completion information | Restriction maps | Back to groups of order 128 |
Ring relations
There are 36 minimal relations of maximal degree 20:
-
b_1_0·b_1_1 -
b_1_0·b_1_2 -
b_1_02·b_1_3 + a_2_5·b_1_0 -
b_1_23 + b_1_1·b_1_22 + b_1_0·b_1_32 + b_2_9·b_1_1 -
b_2_9·b_1_1·b_1_2 + b_2_9·b_1_12 + a_2_5·b_1_22 + a_2_5·b_1_1·b_1_2 + a_2_52 -
b_1_0·b_1_34 + b_2_92·b_1_1 + a_2_5·b_2_9·b_1_1 + a_2_52·b_1_2 -
b_1_2·b_5_45 + b_1_1·b_1_22·b_1_33 + b_1_13·b_1_22·b_1_3 + b_2_9·b_1_2·b_1_33
+ b_2_9·b_1_22·b_1_32 + b_2_9·b_1_1·b_1_33 + b_2_9·b_1_12·b_1_32
+ b_2_92·b_1_2·b_1_3 + b_2_92·b_1_22 + b_2_92·b_1_0·b_1_3 + a_2_5·b_1_2·b_1_33
+ a_2_5·b_1_22·b_1_32 + a_2_5·b_1_12·b_1_22 + a_2_5·b_2_9·b_1_32
+ a_2_5·b_2_9·b_1_12 + a_2_5·b_2_92 + a_2_52·b_1_32 + a_2_52·b_1_2·b_1_3
+ a_2_52·b_1_22 + a_2_52·b_1_1·b_1_3 -
b_1_1·b_5_45 + b_1_1·b_1_22·b_1_33 + b_1_13·b_1_22·b_1_3 + b_2_9·b_1_1·b_1_33
+ b_2_9·b_1_13·b_1_3 + b_2_92·b_1_1·b_1_3 + a_2_5·b_1_1·b_1_33
+ a_2_5·b_1_1·b_1_22·b_1_3 + a_2_5·b_1_12·b_1_32 + a_2_5·b_1_13·b_1_3
+ a_2_5·b_1_13·b_1_2 + a_2_5·b_2_9·b_1_1·b_1_3 + a_2_52·b_1_32
+ a_2_52·b_1_2·b_1_3 + a_2_52·b_1_22 + a_2_52·b_1_12 -
b_1_0·b_1_3·b_5_45 + b_2_92·b_1_1·b_1_32 + b_2_93·b_1_1 + a_2_5·b_5_45
+ a_2_5·b_1_22·b_1_33 + a_2_5·b_1_12·b_1_22·b_1_3 + a_2_5·b_2_9·b_1_33
+ a_2_5·b_2_9·b_1_1·b_1_32 + a_2_5·b_2_9·b_1_12·b_1_3 + a_2_5·b_2_92·b_1_3
+ a_2_52·b_1_33 + a_2_52·b_1_2·b_1_32 + a_2_52·b_1_22·b_1_3
+ a_2_52·b_1_1·b_1_32 + a_2_52·b_1_12·b_1_3 + a_2_52·b_1_12·b_1_2
+ a_2_52·b_2_9·b_1_3 -
a_2_5·b_1_32·b_5_45 + a_2_5·b_1_22·b_1_35 + a_2_5·b_1_12·b_1_22·b_1_33
+ a_2_5·b_2_9·b_1_35 + a_2_5·b_2_9·b_1_12·b_1_33 + a_2_5·b_2_92·b_1_33
+ a_2_52·b_1_35 + a_2_52·b_1_22·b_1_33 + a_2_52·b_1_1·b_1_34
+ a_2_52·b_1_12·b_1_33 + a_2_52·b_1_12·b_1_2·b_1_32 + a_2_52·b_2_9·b_1_33
+ a_2_52·b_2_92·b_1_3 -
b_1_0·b_9_116 + b_2_9·b_1_03·b_5_45 + b_2_93·b_1_0·b_1_33 + b_2_94·b_1_1·b_1_3
+ b_2_94·b_1_0·b_1_3 + a_2_5·b_1_03·b_5_45 + a_2_5·b_2_9·b_1_0·b_5_45
+ a_2_5·b_2_93·b_1_02 + a_2_52·b_2_92·b_1_32 -
b_5_452 + b_1_12·b_1_22·b_1_36 + b_1_16·b_1_22·b_1_32 + b_1_0·b_9_117
+ b_1_05·b_5_45 + b_2_92·b_1_36 + b_2_92·b_1_0·b_5_45 + b_2_93·b_1_04
+ b_2_94·b_1_32 + b_2_94·b_1_1·b_1_3 + b_2_94·b_1_0·b_1_3 + b_2_94·b_1_02
+ a_2_5·b_1_22·b_1_36 + a_2_5·b_1_1·b_1_2·b_1_36
+ a_2_5·b_1_14·b_1_22·b_1_32 + a_2_5·b_1_15·b_1_2·b_1_32
+ a_2_5·b_2_9·b_1_3·b_5_45 + a_2_5·b_2_9·b_1_12·b_1_34 + a_2_5·b_2_9·b_1_0·b_5_45
+ a_2_5·b_2_92·b_1_04 + a_2_5·b_2_93·b_1_32 + a_2_5·b_2_93·b_1_02
+ a_2_5·b_2_94 + a_2_52·b_1_22·b_1_34 + a_2_52·b_1_1·b_1_2·b_1_34
+ a_2_52·b_1_12·b_1_34 + a_2_52·b_1_14·b_1_22 + a_2_52·b_2_9·b_1_34
+ a_2_52·b_2_9·b_1_1·b_1_33 + a_2_52·b_2_9·b_1_13·b_1_3 + a_2_52·b_2_93 -
b_1_2·b_9_116 + b_1_22·b_1_38 + b_1_1·b_9_117 + b_2_9·b_1_12·b_1_36
+ b_2_9·b_1_15·b_1_33 + b_2_9·b_1_16·b_1_32 + b_2_92·b_1_2·b_1_35
+ b_2_93·b_1_2·b_1_33 + b_2_93·b_1_22·b_1_32 + b_2_93·b_1_0·b_1_33
+ b_2_94·b_1_2·b_1_3 + b_2_94·b_1_22 + b_2_94·b_1_1·b_1_3 + a_2_5·b_1_38
+ a_2_5·b_1_2·b_1_37 + a_2_5·b_1_22·b_1_36 + a_2_5·b_1_1·b_1_37
+ a_2_5·b_1_1·b_1_2·b_1_36 + a_2_5·b_1_12·b_1_2·b_1_35
+ a_2_5·b_1_12·b_1_22·b_1_34 + a_2_5·b_1_13·b_1_2·b_1_34
+ a_2_5·b_1_13·b_1_22·b_1_33 + a_2_5·b_1_14·b_1_34
+ a_2_5·b_1_14·b_1_2·b_1_33 + a_2_5·b_1_14·b_1_22·b_1_32
+ a_2_5·b_1_15·b_1_33 + a_2_5·b_1_15·b_1_2·b_1_32 + a_2_5·b_1_15·b_1_22·b_1_3
+ a_2_5·b_1_16·b_1_22 + a_2_5·b_1_17·b_1_3 + a_2_5·b_1_17·b_1_2
+ a_2_5·b_2_9·b_1_3·b_5_45 + a_2_5·b_2_9·b_1_36 + a_2_5·b_2_9·b_1_2·b_1_35
+ a_2_5·b_2_9·b_1_12·b_1_34 + a_2_5·b_2_9·b_1_14·b_1_32
+ a_2_5·b_2_92·b_1_34 + a_2_5·b_2_92·b_1_2·b_1_33 + a_2_5·b_2_93·b_1_32
+ a_2_5·b_2_93·b_1_2·b_1_3 + a_2_52·b_1_36 + a_2_52·b_1_12·b_1_34
+ a_2_52·b_1_12·b_1_2·b_1_33 + a_2_52·b_1_12·b_1_22·b_1_32
+ a_2_52·b_1_13·b_1_33 + a_2_52·b_1_14·b_1_32 + a_2_52·b_1_14·b_1_2·b_1_3
+ a_2_52·b_1_14·b_1_22 + a_2_52·b_1_16 + a_2_52·b_2_9·b_1_13·b_1_3
+ a_2_52·b_2_92·b_1_32 -
b_1_2·b_9_118 + b_1_2·b_9_117 + b_1_2·b_9_116 + b_1_12·b_1_22·b_1_36
+ b_1_13·b_1_22·b_1_35 + b_1_14·b_1_22·b_1_34 + b_1_17·b_1_22·b_1_3
+ b_1_18·b_1_22 + b_2_9·b_1_2·b_1_37 + b_2_9·b_1_13·b_1_35
+ b_2_9·b_1_15·b_1_33 + b_2_9·b_1_16·b_1_32 + b_2_92·b_1_2·b_1_35
+ b_2_94·b_1_1·b_1_3 + b_2_94·b_1_0·b_1_3 + a_2_5·b_1_2·b_1_37
+ a_2_5·b_1_1·b_1_2·b_1_36 + a_2_5·b_1_12·b_1_2·b_1_35
+ a_2_5·b_1_14·b_1_22·b_1_32 + a_2_5·b_1_17·b_1_2 + a_2_5·b_2_9·b_1_14·b_1_32
+ a_2_5·b_2_9·b_1_16 + a_2_5·b_2_93·b_1_32 + a_2_5·b_2_93·b_1_2·b_1_3
+ a_2_5·b_2_94 + a_2_52·b_1_36 + a_2_52·b_1_12·b_1_34
+ a_2_52·b_1_12·b_1_2·b_1_33 + a_2_52·b_1_12·b_1_22·b_1_32
+ a_2_52·b_1_13·b_1_33 + a_2_52·b_1_13·b_1_2·b_1_32
+ a_2_52·b_1_13·b_1_22·b_1_3 + a_2_52·b_1_14·b_1_32
+ a_2_52·b_1_14·b_1_2·b_1_3 + a_2_52·b_1_15·b_1_3 + a_2_52·b_1_15·b_1_2
+ a_2_52·b_1_16 + a_2_52·b_2_9·b_1_34 + a_2_52·b_2_9·b_1_1·b_1_33
+ a_2_52·b_2_9·b_1_13·b_1_3 -
b_1_0·b_9_118 + b_1_05·b_5_45 + b_2_92·b_1_0·b_5_45 + b_2_94·b_1_1·b_1_3
+ b_2_94·b_1_02 + a_2_5·b_2_9·b_1_06 + a_2_5·b_2_92·b_1_04
+ a_2_5·b_2_93·b_1_02 + a_2_52·b_2_92·b_1_32 + a_2_52·b_2_93 -
b_1_2·b_9_116 + b_1_22·b_1_38 + b_1_1·b_9_118 + b_1_1·b_9_116
+ b_1_12·b_1_22·b_1_36 + b_1_13·b_1_22·b_1_35 + b_1_14·b_1_22·b_1_34
+ b_1_17·b_1_22·b_1_3 + b_1_18·b_1_22 + b_2_9·b_1_1·b_1_37
+ b_2_9·b_1_14·b_1_34 + b_2_9·b_1_17·b_1_3 + b_2_9·b_1_18
+ b_2_92·b_1_2·b_1_35 + b_2_93·b_1_2·b_1_33 + b_2_93·b_1_22·b_1_32
+ b_2_93·b_1_0·b_1_33 + b_2_94·b_1_2·b_1_3 + b_2_94·b_1_22 + a_2_5·b_1_38
+ a_2_5·b_1_2·b_1_37 + a_2_5·b_1_22·b_1_36 + a_2_5·b_1_12·b_1_2·b_1_35
+ a_2_5·b_1_13·b_1_35 + a_2_5·b_1_13·b_1_2·b_1_34
+ a_2_5·b_1_13·b_1_22·b_1_33 + a_2_5·b_1_14·b_1_22·b_1_32
+ a_2_5·b_1_15·b_1_2·b_1_32 + a_2_5·b_1_16·b_1_32 + a_2_5·b_1_17·b_1_2
+ a_2_5·b_2_9·b_1_3·b_5_45 + a_2_5·b_2_9·b_1_36 + a_2_5·b_2_9·b_1_2·b_1_35
+ a_2_5·b_2_9·b_1_1·b_1_35 + a_2_5·b_2_9·b_1_15·b_1_3 + a_2_5·b_2_92·b_1_34
+ a_2_5·b_2_92·b_1_2·b_1_33 + a_2_5·b_2_93·b_1_32 + a_2_5·b_2_93·b_1_2·b_1_3
+ a_2_52·b_1_36 + a_2_52·b_1_2·b_1_35 + a_2_52·b_1_1·b_1_2·b_1_34
+ a_2_52·b_1_12·b_1_2·b_1_33 + a_2_52·b_1_13·b_1_2·b_1_32
+ a_2_52·b_1_13·b_1_22·b_1_3 + a_2_52·b_1_14·b_1_32 + a_2_52·b_1_14·b_1_22
+ a_2_52·b_2_9·b_1_34 + a_2_52·b_2_9·b_1_1·b_1_33
+ a_2_52·b_2_9·b_1_12·b_1_32 + a_2_52·b_2_9·b_1_13·b_1_3
+ a_2_52·b_2_92·b_1_32 -
b_1_32·b_9_118 + b_1_32·b_9_117 + b_1_32·b_9_116 + b_1_36·b_5_45 + b_1_22·b_9_117
+ b_1_22·b_1_39 + b_1_1·b_1_2·b_9_117 + b_1_1·b_1_22·b_1_38
+ b_1_13·b_1_22·b_1_36 + b_1_16·b_1_22·b_1_33 + b_1_17·b_1_22·b_1_32
+ b_2_9·b_9_116 + b_2_9·b_1_22·b_1_37 + b_2_9·b_1_13·b_1_36
+ b_2_9·b_1_14·b_1_35 + b_2_9·b_1_15·b_1_34 + b_2_9·b_1_16·b_1_33
+ b_2_9·b_1_17·b_1_32 + b_2_92·b_1_32·b_5_45 + b_2_92·b_1_2·b_1_36
+ b_2_92·b_1_02·b_5_45 + b_2_93·b_1_2·b_1_34 + b_2_94·b_1_1·b_1_32
+ b_2_95·b_1_3 + b_2_95·b_1_2 + a_2_5·b_1_2·b_1_38 + a_2_5·b_1_22·b_1_37
+ a_2_5·b_1_1·b_1_38 + a_2_5·b_1_1·b_1_22·b_1_36 + a_2_5·b_1_12·b_1_2·b_1_36
+ a_2_5·b_1_13·b_1_36 + a_2_5·b_1_13·b_1_2·b_1_35
+ a_2_5·b_1_13·b_1_22·b_1_34 + a_2_5·b_1_14·b_1_35
+ a_2_5·b_1_14·b_1_2·b_1_34 + a_2_5·b_1_15·b_1_34
+ a_2_5·b_1_15·b_1_2·b_1_33 + a_2_5·b_1_15·b_1_22·b_1_32
+ a_2_5·b_1_16·b_1_33 + a_2_5·b_1_16·b_1_22·b_1_3 + a_2_5·b_1_17·b_1_2·b_1_3
+ a_2_5·b_2_9·b_1_37 + a_2_5·b_2_9·b_1_2·b_1_36 + a_2_5·b_2_9·b_1_13·b_1_34
+ a_2_5·b_2_9·b_1_14·b_1_33 + a_2_5·b_2_9·b_1_15·b_1_32
+ a_2_5·b_2_9·b_1_16·b_1_3 + a_2_5·b_2_9·b_1_02·b_5_45 + a_2_5·b_2_92·b_5_45
+ a_2_5·b_2_92·b_1_2·b_1_34 + a_2_5·b_2_93·b_1_33 + a_2_5·b_2_94·b_1_2
+ a_2_5·b_2_94·b_1_0 + a_2_52·b_1_37 + a_2_52·b_1_1·b_1_2·b_1_35
+ a_2_52·b_1_1·b_1_22·b_1_34 + a_2_52·b_1_12·b_1_35
+ a_2_52·b_1_12·b_1_2·b_1_34 + a_2_52·b_1_12·b_1_22·b_1_33
+ a_2_52·b_1_13·b_1_2·b_1_33 + a_2_52·b_1_14·b_1_2·b_1_32
+ a_2_52·b_1_14·b_1_22·b_1_3 + a_2_52·b_1_15·b_1_32
+ a_2_52·b_1_15·b_1_2·b_1_3 + a_2_52·b_2_9·b_1_35 + a_2_52·b_2_9·b_1_1·b_1_34
+ a_2_52·b_2_9·b_1_15 + a_2_52·b_2_92·b_1_33 + a_2_52·b_2_93·b_1_3 -
b_1_0·b_1_3·b_9_117 + b_2_94·b_1_1·b_1_32 + b_2_95·b_1_1 + a_2_5·b_9_118
+ a_2_5·b_9_117 + a_2_5·b_9_116 + a_2_5·b_1_1·b_1_22·b_1_36
+ a_2_5·b_1_12·b_1_22·b_1_35 + a_2_5·b_1_13·b_1_22·b_1_34
+ a_2_5·b_1_16·b_1_22·b_1_3 + a_2_5·b_1_17·b_1_22 + a_2_5·b_1_04·b_5_45
+ a_2_5·b_2_9·b_1_37 + a_2_5·b_2_9·b_1_1·b_1_36 + a_2_5·b_2_9·b_1_13·b_1_34
+ a_2_5·b_2_9·b_1_14·b_1_33 + a_2_5·b_2_9·b_1_15·b_1_32
+ a_2_5·b_2_9·b_1_16·b_1_3 + a_2_5·b_2_9·b_1_17 + a_2_5·b_2_9·b_1_02·b_5_45
+ a_2_5·b_2_92·b_5_45 + a_2_5·b_2_92·b_1_35 + a_2_5·b_2_93·b_1_33
+ a_2_5·b_2_93·b_1_2·b_1_32 + a_2_5·b_2_94·b_1_3 + a_2_5·b_2_94·b_1_2
+ a_2_5·b_2_94·b_1_0 + a_2_52·b_1_37 + a_2_52·b_1_2·b_1_36
+ a_2_52·b_1_1·b_1_22·b_1_34 + a_2_52·b_1_12·b_1_35
+ a_2_52·b_1_13·b_1_34 + a_2_52·b_1_13·b_1_2·b_1_33
+ a_2_52·b_1_14·b_1_33 + a_2_52·b_1_14·b_1_22·b_1_3 + a_2_52·b_1_15·b_1_32
+ a_2_52·b_1_15·b_1_22 + a_2_52·b_1_16·b_1_3 + a_2_52·b_2_9·b_1_1·b_1_34
+ a_2_52·b_2_9·b_1_12·b_1_33 + a_2_52·b_2_9·b_1_13·b_1_32 -
b_1_0·b_1_3·b_9_117 + b_2_9·b_1_22·b_1_37 + b_2_9·b_1_1·b_1_38
+ b_2_9·b_1_14·b_1_35 + b_2_9·b_1_17·b_1_32 + b_2_94·b_1_22·b_1_3
+ b_2_94·b_1_0·b_1_32 + a_10_121·b_1_2 + a_2_5·b_9_117 + a_2_5·b_1_2·b_1_38
+ a_2_5·b_1_22·b_1_37 + a_2_5·b_1_12·b_1_2·b_1_36
+ a_2_5·b_1_13·b_1_2·b_1_35 + a_2_5·b_1_13·b_1_22·b_1_34
+ a_2_5·b_1_14·b_1_2·b_1_34 + a_2_5·b_1_15·b_1_2·b_1_33
+ a_2_5·b_2_9·b_1_2·b_1_36 + a_2_5·b_2_9·b_1_1·b_1_36
+ a_2_5·b_2_9·b_1_12·b_1_35 + a_2_5·b_2_92·b_1_35 + a_2_5·b_2_94·b_1_3
+ a_2_5·b_2_94·b_1_2 + a_2_52·b_1_37 + a_2_52·b_1_1·b_1_22·b_1_34
+ a_2_52·b_1_12·b_1_35 + a_2_52·b_1_13·b_1_34
+ a_2_52·b_1_13·b_1_22·b_1_32 + a_2_52·b_1_14·b_1_33
+ a_2_52·b_1_14·b_1_22·b_1_3 + a_2_52·b_1_15·b_1_32 + a_2_52·b_1_16·b_1_3
+ a_2_52·b_2_9·b_1_35 + a_2_52·b_2_9·b_1_1·b_1_34
+ a_2_52·b_2_9·b_1_13·b_1_32 -
b_1_0·b_1_3·b_9_117 + b_2_94·b_1_0·b_1_32 + b_2_95·b_1_1 + a_10_121·b_1_0
+ a_2_5·b_2_92·b_5_45 + a_2_5·b_2_92·b_1_05 + a_2_5·b_2_93·b_1_33
+ a_2_5·b_2_94·b_1_3 + a_2_52·b_2_9·b_1_12·b_1_33 + a_2_52·b_2_9·b_1_14·b_1_3
+ a_2_52·b_2_92·b_1_33 + a_2_52·b_2_93·b_1_3 -
b_2_9·b_1_1·b_1_38 + b_2_9·b_1_12·b_1_37 + b_2_9·b_1_14·b_1_35
+ b_2_9·b_1_17·b_1_32 + b_2_95·b_1_1 + a_10_121·b_1_1 + a_2_5·b_9_116
+ a_2_5·b_1_22·b_1_37 + a_2_5·b_1_12·b_1_22·b_1_35 + a_2_5·b_1_13·b_1_36
+ a_2_5·b_1_13·b_1_22·b_1_34 + a_2_5·b_1_14·b_1_22·b_1_33
+ a_2_5·b_1_15·b_1_34 + a_2_5·b_1_15·b_1_2·b_1_33 + a_2_5·b_1_16·b_1_33
+ a_2_5·b_1_16·b_1_2·b_1_32 + a_2_5·b_1_16·b_1_22·b_1_3 + a_2_5·b_1_17·b_1_32
+ a_2_5·b_1_17·b_1_2·b_1_3 + a_2_5·b_2_9·b_1_2·b_1_36
+ a_2_5·b_2_9·b_1_13·b_1_34 + a_2_5·b_2_9·b_1_15·b_1_32
+ a_2_5·b_2_9·b_1_16·b_1_3 + a_2_5·b_2_9·b_1_02·b_5_45 + a_2_5·b_2_92·b_1_35
+ a_2_5·b_2_93·b_1_33 + a_2_5·b_2_93·b_1_2·b_1_32 + a_2_5·b_2_94·b_1_3
+ a_2_5·b_2_94·b_1_2 + a_2_52·b_1_2·b_1_36 + a_2_52·b_1_1·b_1_36
+ a_2_52·b_1_1·b_1_22·b_1_34 + a_2_52·b_1_12·b_1_35
+ a_2_52·b_1_13·b_1_2·b_1_33 + a_2_52·b_1_13·b_1_22·b_1_32
+ a_2_52·b_1_14·b_1_33 + a_2_52·b_1_14·b_1_22·b_1_3 + a_2_52·b_1_16·b_1_3
+ a_2_52·b_1_16·b_1_2 + a_2_52·b_1_17 + a_2_52·b_2_9·b_1_35
+ a_2_52·b_2_9·b_1_14·b_1_3 + a_2_52·b_2_93·b_1_3 -
b_2_9·b_1_1·b_9_117 + b_2_9·b_1_1·b_9_116 + b_2_9·b_1_13·b_1_37
+ b_2_9·b_1_15·b_1_35 + b_2_9·b_1_18·b_1_32 + b_2_95·b_1_1·b_1_3
+ a_10_121·b_1_12 + a_2_5·b_1_2·b_9_117 + a_2_5·b_1_22·b_1_38
+ a_2_5·b_1_1·b_9_117 + a_2_5·b_1_1·b_9_116 + a_2_5·b_1_1·b_1_2·b_1_38
+ a_2_5·b_1_1·b_1_22·b_1_37 + a_2_5·b_1_13·b_1_22·b_1_35
+ a_2_5·b_1_14·b_1_36 + a_2_5·b_1_14·b_1_22·b_1_34
+ a_2_5·b_1_15·b_1_22·b_1_33 + a_2_5·b_1_16·b_1_34
+ a_2_5·b_1_16·b_1_2·b_1_33 + a_2_5·b_1_17·b_1_33
+ a_2_5·b_1_17·b_1_2·b_1_32 + a_2_5·b_1_17·b_1_22·b_1_3 + a_2_5·b_1_18·b_1_32
+ a_2_5·b_1_18·b_1_2·b_1_3 + a_2_5·b_2_9·b_1_2·b_1_37
+ a_2_5·b_2_9·b_1_16·b_1_32 + a_2_5·b_2_9·b_1_17·b_1_3
+ a_2_5·b_2_92·b_1_3·b_5_45 + a_2_5·b_2_92·b_1_2·b_1_35 + a_2_5·b_2_93·b_1_34
+ a_2_5·b_2_94·b_1_32 + a_2_5·a_10_121 + a_2_52·b_1_22·b_1_36
+ a_2_52·b_1_1·b_1_37 + a_2_52·b_1_1·b_1_2·b_1_36
+ a_2_52·b_1_1·b_1_22·b_1_35 + a_2_52·b_1_12·b_1_22·b_1_34
+ a_2_52·b_1_13·b_1_35 + a_2_52·b_1_13·b_1_22·b_1_33
+ a_2_52·b_1_14·b_1_22·b_1_32 + a_2_52·b_1_15·b_1_33
+ a_2_52·b_1_15·b_1_22·b_1_3 + a_2_52·b_1_16·b_1_32
+ a_2_52·b_1_16·b_1_2·b_1_3 + a_2_52·b_1_16·b_1_22 + a_2_52·b_1_18
+ a_2_52·b_2_9·b_1_36 + a_2_52·b_2_9·b_1_12·b_1_34
+ a_2_52·b_2_9·b_1_15·b_1_3 + a_2_52·b_2_94 -
b_1_38·b_5_45 + b_1_22·b_1_32·b_9_117 + b_1_22·b_1_311
+ b_1_1·b_1_2·b_1_32·b_9_117 + b_1_12·b_1_22·b_1_39 + b_2_9·b_1_32·b_9_116
+ b_2_9·b_1_36·b_5_45 + b_2_9·b_1_311 + b_2_9·b_1_14·b_1_37
+ b_2_9·b_1_15·b_1_36 + b_2_9·b_1_16·b_1_35 + b_2_9·b_1_17·b_1_34
+ b_2_9·b_1_18·b_1_33 + b_2_9·b_1_19·b_1_32 + b_2_92·b_9_116
+ b_2_92·b_1_2·b_1_38 + b_2_93·b_1_2·b_1_36 + b_2_93·b_1_02·b_5_45
+ b_2_94·b_1_2·b_1_34 + b_2_95·b_1_22·b_1_3 + b_2_95·b_1_0·b_1_32
+ b_2_96·b_1_3 + b_2_96·b_1_2 + b_2_96·b_1_1 + a_10_121·b_1_1·b_1_32
+ a_10_121·b_1_12·b_1_3 + a_10_121·b_1_13 + b_2_9·a_10_121·b_1_2
+ b_2_9·a_10_121·b_1_0 + a_2_5·b_1_32·b_9_116 + a_2_5·b_1_311
+ a_2_5·b_1_1·b_1_3·b_9_116 + a_2_5·b_1_1·b_1_310 + a_2_5·b_1_1·b_1_22·b_1_38
+ a_2_5·b_1_12·b_9_116 + a_2_5·b_1_12·b_1_39 + a_2_5·b_1_12·b_1_2·b_1_38
+ a_2_5·b_1_12·b_1_22·b_1_37 + a_2_5·b_1_13·b_1_38
+ a_2_5·b_1_13·b_1_2·b_1_37 + a_2_5·b_1_13·b_1_22·b_1_36
+ a_2_5·b_1_14·b_1_37 + a_2_5·b_1_14·b_1_2·b_1_36
+ a_2_5·b_1_16·b_1_22·b_1_33 + a_2_5·b_1_17·b_1_34
+ a_2_5·b_1_17·b_1_22·b_1_32 + a_2_5·b_1_18·b_1_22·b_1_3
+ a_2_5·b_1_19·b_1_32 + a_2_5·b_1_19·b_1_2·b_1_3 + a_2_5·b_2_9·b_9_117
+ a_2_5·b_2_9·b_9_116 + a_2_5·b_2_9·b_1_15·b_1_34 + a_2_5·b_2_9·b_1_17·b_1_32
+ a_2_5·b_2_9·b_1_18·b_1_3 + a_2_5·b_2_92·b_1_37 + a_2_5·b_2_92·b_1_2·b_1_36
+ a_2_5·b_2_93·b_1_35 + a_2_5·b_2_93·b_1_2·b_1_34 + a_2_5·b_2_93·b_1_05
+ a_2_5·b_2_95·b_1_3 + a_2_5·b_2_95·b_1_2 + a_2_5·b_2_95·b_1_0 + a_2_52·b_9_117
+ a_2_52·b_1_39 + a_2_52·b_1_22·b_1_37 + a_2_52·b_1_1·b_1_2·b_1_37
+ a_2_52·b_1_12·b_1_37 + a_2_52·b_1_15·b_1_34
+ a_2_52·b_1_15·b_1_2·b_1_33 + a_2_52·b_1_16·b_1_22·b_1_3
+ a_2_52·b_1_17·b_1_2·b_1_3 + a_2_52·b_1_18·b_1_2 + a_2_52·b_1_19
+ a_2_52·b_2_9·b_1_37 + a_2_52·b_2_9·b_1_12·b_1_35
+ a_2_52·b_2_9·b_1_15·b_1_32 + a_2_52·b_2_9·b_1_16·b_1_3
+ a_2_52·b_2_93·b_1_33 -
b_5_45·b_9_118 + b_1_22·b_1_33·b_9_117 + b_1_1·b_1_2·b_1_33·b_9_117
+ b_1_1·b_1_22·b_1_311 + b_1_14·b_1_22·b_1_38 + b_1_16·b_1_22·b_1_36
+ b_1_17·b_1_22·b_1_35 + b_1_18·b_1_22·b_1_34 + b_1_19·b_1_22·b_1_33
+ b_1_110·b_1_22·b_1_32 + b_1_111·b_1_22·b_1_3 + b_1_05·b_9_117 + b_1_09·b_5_45
+ b_2_9·b_1_33·b_9_117 + b_2_9·b_1_33·b_9_116 + b_2_9·b_1_37·b_5_45
+ b_2_9·b_1_2·b_1_32·b_9_117 + b_2_9·b_1_22·b_1_3·b_9_117
+ b_2_9·b_1_1·b_1_32·b_9_116 + b_2_9·b_1_19·b_1_33 + b_2_9·b_1_110·b_1_32
+ b_2_92·b_1_3·b_9_117 + b_2_92·b_1_3·b_9_116 + b_2_92·b_1_35·b_5_45
+ b_2_92·b_1_2·b_9_117 + b_2_92·b_1_2·b_1_39 + b_2_92·b_1_0·b_9_117
+ b_2_93·b_1_08 + b_2_94·b_1_3·b_5_45 + b_2_94·b_1_22·b_1_34 + b_2_94·b_1_06
+ b_2_95·b_1_34 + b_2_95·b_1_22·b_1_32 + b_2_95·b_1_0·b_1_33
+ b_2_95·b_1_04 + b_2_96·b_1_32 + b_2_96·b_1_2·b_1_3 + b_2_96·b_1_02
+ a_10_121·b_1_2·b_1_33 + a_10_121·b_1_13·b_1_3 + a_10_121·b_1_14
+ b_2_9·a_10_121·b_1_32 + b_2_9·a_10_121·b_1_2·b_1_3 + b_2_92·a_10_121
+ a_2_5·b_1_33·b_9_116 + a_2_5·b_1_2·b_1_32·b_9_117 + a_2_5·b_1_22·b_1_310
+ a_2_5·b_1_1·b_1_32·b_9_116 + a_2_5·b_1_1·b_1_2·b_1_310
+ a_2_5·b_1_1·b_1_22·b_1_39 + a_2_5·b_1_12·b_1_3·b_9_117
+ a_2_5·b_1_12·b_1_2·b_9_117 + a_2_5·b_1_12·b_1_22·b_1_38
+ a_2_5·b_1_13·b_9_117 + a_2_5·b_1_13·b_9_116 + a_2_5·b_1_13·b_1_2·b_1_38
+ a_2_5·b_1_14·b_1_2·b_1_37 + a_2_5·b_1_14·b_1_22·b_1_36
+ a_2_5·b_1_15·b_1_37 + a_2_5·b_1_16·b_1_36 + a_2_5·b_1_16·b_1_2·b_1_35
+ a_2_5·b_1_16·b_1_22·b_1_34 + a_2_5·b_1_17·b_1_35
+ a_2_5·b_1_17·b_1_2·b_1_34 + a_2_5·b_1_18·b_1_2·b_1_33
+ a_2_5·b_1_18·b_1_22·b_1_32 + a_2_5·b_1_19·b_1_2·b_1_32
+ a_2_5·b_1_110·b_1_32 + a_2_5·b_1_110·b_1_22 + a_2_5·b_2_9·b_1_3·b_9_117
+ a_2_5·b_2_9·b_1_3·b_9_116 + a_2_5·b_2_9·b_1_310 + a_2_5·b_2_9·b_1_2·b_1_39
+ a_2_5·b_2_9·b_1_1·b_9_116 + a_2_5·b_2_9·b_1_14·b_1_36
+ a_2_5·b_2_9·b_1_15·b_1_35 + a_2_5·b_2_9·b_1_16·b_1_34
+ a_2_5·b_2_9·b_1_17·b_1_33 + a_2_5·b_2_9·b_1_18·b_1_32
+ a_2_5·b_2_92·b_1_38 + a_2_5·b_2_92·b_1_03·b_5_45 + a_2_5·b_2_92·b_1_08
+ a_2_5·b_2_93·b_1_3·b_5_45 + a_2_5·b_2_93·b_1_36 + a_2_5·b_2_93·b_1_0·b_5_45
+ a_2_5·b_2_93·b_1_06 + a_2_5·b_2_95·b_1_32 + a_2_5·b_2_95·b_1_02
+ a_2_5·a_10_121·b_1_1·b_1_3 + a_2_52·b_1_3·b_9_116 + a_2_52·b_1_310
+ a_2_52·b_1_2·b_1_39 + a_2_52·b_1_1·b_9_116 + a_2_52·b_1_1·b_1_39
+ a_2_52·b_1_1·b_1_2·b_1_38 + a_2_52·b_1_1·b_1_22·b_1_37
+ a_2_52·b_1_12·b_1_2·b_1_37 + a_2_52·b_1_13·b_1_37
+ a_2_52·b_1_13·b_1_2·b_1_36 + a_2_52·b_1_14·b_1_36
+ a_2_52·b_1_16·b_1_22·b_1_32 + a_2_52·b_1_17·b_1_33
+ a_2_52·b_1_17·b_1_2·b_1_32 + a_2_52·b_1_18·b_1_32
+ a_2_52·b_1_18·b_1_2·b_1_3 + a_2_52·b_1_18·b_1_22 + a_2_52·b_1_19·b_1_2
+ a_2_52·b_1_110 + a_2_52·b_2_9·b_1_13·b_1_35 + a_2_52·b_2_9·b_1_14·b_1_34
+ a_2_52·b_2_9·b_1_16·b_1_32 + a_2_52·b_2_9·b_1_17·b_1_3
+ a_2_52·b_2_9·b_1_18 + a_2_52·b_2_93·b_1_34 + a_2_52·b_2_94·b_1_32 -
b_5_45·b_9_116 + b_1_1·b_1_2·b_1_33·b_9_117 + b_1_1·b_1_22·b_1_311
+ b_1_13·b_1_2·b_1_3·b_9_117 + b_1_13·b_1_22·b_1_39 + b_2_9·b_1_33·b_9_116
+ b_2_9·b_1_12·b_1_3·b_9_116 + b_2_9·b_1_03·b_9_117 + b_2_9·b_1_07·b_5_45
+ b_2_92·b_1_3·b_9_116 + b_2_92·b_1_35·b_5_45 + b_2_93·b_1_33·b_5_45
+ b_2_93·b_1_38 + b_2_93·b_1_22·b_1_36 + b_2_93·b_1_03·b_5_45
+ b_2_94·b_1_3·b_5_45 + b_2_94·b_1_22·b_1_34 + b_2_94·b_1_06
+ b_2_95·b_1_22·b_1_32 + b_2_95·b_1_0·b_1_33 + b_2_95·b_1_04
+ b_2_96·b_1_32 + b_2_96·b_1_22 + b_2_96·b_1_0·b_1_3 + a_10_121·b_1_1·b_1_33
+ a_10_121·b_1_12·b_1_32 + a_10_121·b_1_13·b_1_3 + b_2_9·a_10_121·b_1_2·b_1_3
+ a_2_5·b_1_2·b_1_311 + a_2_5·b_1_1·b_1_2·b_1_3·b_9_117
+ a_2_5·b_1_1·b_1_2·b_1_310 + a_2_5·b_1_1·b_1_22·b_1_39
+ a_2_5·b_1_12·b_1_22·b_1_38 + a_2_5·b_1_13·b_9_117 + a_2_5·b_1_13·b_1_39
+ a_2_5·b_1_13·b_1_2·b_1_38 + a_2_5·b_1_13·b_1_22·b_1_37
+ a_2_5·b_1_14·b_1_38 + a_2_5·b_1_14·b_1_22·b_1_36
+ a_2_5·b_1_15·b_1_2·b_1_36 + a_2_5·b_1_15·b_1_22·b_1_35
+ a_2_5·b_1_17·b_1_35 + a_2_5·b_1_18·b_1_2·b_1_33 + a_2_5·b_1_19·b_1_33
+ a_2_5·b_1_03·b_9_117 + a_2_5·b_1_07·b_5_45 + a_2_5·b_2_9·b_1_3·b_9_117
+ a_2_5·b_2_9·b_1_3·b_9_116 + a_2_5·b_2_9·b_1_310 + a_2_5·b_2_9·b_1_2·b_1_39
+ a_2_5·b_2_9·b_1_16·b_1_34 + a_2_5·b_2_9·b_1_17·b_1_33
+ a_2_5·b_2_9·b_1_18·b_1_32 + a_2_5·b_2_9·b_1_19·b_1_3
+ a_2_5·b_2_9·b_1_0·b_9_117 + a_2_5·b_2_9·b_1_05·b_5_45 + a_2_5·b_2_92·b_1_38
+ a_2_5·b_2_93·b_1_2·b_1_35 + a_2_5·b_2_93·b_1_0·b_5_45 + a_2_5·b_2_94·b_1_04
+ a_2_5·b_2_95·b_1_02 + a_2_5·b_2_96 + a_2_5·a_10_121·b_1_32
+ a_2_52·b_1_3·b_9_117 + a_2_52·b_1_2·b_9_117 + a_2_52·b_1_22·b_1_38
+ a_2_52·b_1_1·b_9_116 + a_2_52·b_1_12·b_1_22·b_1_36
+ a_2_52·b_1_14·b_1_22·b_1_34 + a_2_52·b_1_15·b_1_35
+ a_2_52·b_1_15·b_1_2·b_1_34 + a_2_52·b_1_15·b_1_22·b_1_33
+ a_2_52·b_1_16·b_1_34 + a_2_52·b_1_16·b_1_2·b_1_33
+ a_2_52·b_1_17·b_1_2·b_1_32 + a_2_52·b_1_18·b_1_22 + a_2_52·b_1_19·b_1_2
+ a_2_52·b_2_9·b_1_13·b_1_35 + a_2_52·b_2_9·b_1_14·b_1_34 + a_2_52·b_2_95
+ a_2_52·a_10_121 -
b_1_3·b_5_45·b_9_117 + b_1_22·b_1_34·b_9_117 + b_1_13·b_1_2·b_1_32·b_9_117
+ b_2_9·b_1_34·b_9_117 + b_2_9·b_1_2·b_1_33·b_9_117 + b_2_9·b_1_1·b_1_33·b_9_116
+ b_2_9·b_1_16·b_1_37 + b_2_9·b_1_17·b_1_36 + b_2_9·b_1_18·b_1_35
+ b_2_9·b_1_19·b_1_34 + b_2_9·b_1_110·b_1_33 + b_2_92·b_1_32·b_9_117
+ b_2_92·b_1_36·b_5_45 + b_2_92·b_1_2·b_1_3·b_9_117 + b_2_92·b_1_2·b_1_310
+ b_2_93·b_1_39 + b_2_94·b_1_32·b_5_45 + b_2_94·b_1_37 + b_2_94·b_1_2·b_1_36
+ b_2_95·b_1_35 + b_2_95·b_1_22·b_1_33 + b_2_96·b_1_33
+ b_2_96·b_1_22·b_1_3 + b_2_97·b_1_1 + a_10_121·b_5_45 + a_10_121·b_1_2·b_1_34
+ a_10_121·b_1_1·b_1_34 + a_10_121·b_1_13·b_1_32 + b_2_9·a_10_121·b_1_2·b_1_32
+ b_2_92·a_10_121·b_1_2 + a_2_5·b_1_34·b_9_116 + a_2_5·b_1_2·b_1_312
+ a_2_5·b_1_1·b_1_2·b_1_311 + a_2_5·b_1_1·b_1_22·b_1_310
+ a_2_5·b_1_12·b_1_32·b_9_116 + a_2_5·b_1_12·b_1_2·b_1_310
+ a_2_5·b_1_13·b_1_310 + a_2_5·b_1_13·b_1_2·b_1_39
+ a_2_5·b_1_14·b_1_2·b_1_38 + a_2_5·b_1_14·b_1_22·b_1_37
+ a_2_5·b_1_15·b_1_22·b_1_36 + a_2_5·b_1_16·b_1_37
+ a_2_5·b_1_16·b_1_2·b_1_36 + a_2_5·b_1_17·b_1_22·b_1_34
+ a_2_5·b_1_18·b_1_35 + a_2_5·b_1_18·b_1_2·b_1_34
+ a_2_5·b_1_18·b_1_22·b_1_33 + a_2_5·b_1_19·b_1_34
+ a_2_5·b_1_19·b_1_2·b_1_33 + a_2_5·b_2_9·b_1_32·b_9_117 + a_2_5·b_2_9·b_1_311
+ a_2_5·b_2_9·b_1_2·b_1_310 + a_2_5·b_2_9·b_1_16·b_1_35
+ a_2_5·b_2_9·b_1_17·b_1_34 + a_2_5·b_2_92·b_9_117 + a_2_5·b_2_92·b_1_2·b_1_38
+ a_2_5·b_2_94·b_5_45 + a_2_5·b_2_95·b_1_03 + a_2_5·b_2_96·b_1_2
+ a_2_5·b_2_96·b_1_0 + a_2_5·a_10_121·b_1_1·b_1_32 + a_2_5·a_10_121·b_1_12·b_1_3
+ a_2_5·a_10_121·b_1_13 + a_2_5·b_2_9·a_10_121·b_1_3 + a_2_52·b_1_32·b_9_117
+ a_2_52·b_1_32·b_9_116 + a_2_52·b_1_311 + a_2_52·b_1_2·b_1_310
+ a_2_52·b_1_22·b_1_39 + a_2_52·b_1_1·b_1_2·b_1_39 + a_2_52·b_1_12·b_9_117
+ a_2_52·b_1_12·b_9_116 + a_2_52·b_1_12·b_1_39
+ a_2_52·b_1_13·b_1_22·b_1_36 + a_2_52·b_1_14·b_1_37
+ a_2_52·b_1_14·b_1_22·b_1_35 + a_2_52·b_1_16·b_1_2·b_1_34
+ a_2_52·b_1_16·b_1_22·b_1_33 + a_2_52·b_1_17·b_1_34
+ a_2_52·b_1_17·b_1_2·b_1_33 + a_2_52·b_1_18·b_1_22·b_1_3
+ a_2_52·b_1_19·b_1_2·b_1_3 + a_2_52·b_2_9·b_1_12·b_1_37
+ a_2_52·b_2_9·b_1_13·b_1_36 + a_2_52·b_2_9·b_1_15·b_1_34
+ a_2_52·b_2_9·b_1_16·b_1_33 + a_2_52·b_2_9·b_1_18·b_1_3
+ a_2_52·b_2_94·b_1_33 + a_2_52·a_10_121·b_1_1 -
b_9_1182 + b_9_117·b_9_118 + b_9_116·b_9_117 + b_9_1162
+ b_1_12·b_1_2·b_1_36·b_9_117 + b_1_13·b_1_2·b_1_35·b_9_117
+ b_1_14·b_1_2·b_1_34·b_9_117 + b_1_14·b_1_22·b_1_312
+ b_1_16·b_1_22·b_1_310 + b_1_17·b_1_2·b_1_3·b_9_117 + b_1_18·b_1_2·b_9_117
+ b_1_18·b_1_22·b_1_38 + b_1_114·b_1_22·b_1_32 + b_1_116·b_1_22
+ b_1_04·b_5_45·b_9_117 + b_1_09·b_9_117 + b_1_013·b_5_45 + b_2_9·b_1_37·b_9_117
+ b_2_9·b_1_12·b_1_35·b_9_116 + b_2_9·b_1_14·b_1_33·b_9_116
+ b_2_9·b_1_15·b_1_32·b_9_116 + b_2_9·b_1_111·b_1_35 + b_2_9·b_1_113·b_1_33
+ b_2_9·b_1_114·b_1_32 + b_2_9·b_1_02·b_5_45·b_9_117 + b_2_92·b_5_45·b_9_117
+ b_2_92·b_1_35·b_9_117 + b_2_92·b_1_314 + b_2_92·b_1_05·b_9_117
+ b_2_93·b_1_33·b_9_117 + b_2_93·b_1_2·b_1_32·b_9_117 + b_2_93·b_1_012
+ b_2_94·b_1_3·b_9_117 + b_2_94·b_1_310 + b_2_94·b_1_2·b_9_117 + b_2_94·b_1_010
+ b_2_95·b_1_08 + b_2_96·b_1_22·b_1_34 + b_2_96·b_1_0·b_5_45 + b_2_96·b_1_06
+ b_2_97·b_1_0·b_1_33 + b_2_97·b_1_04 + b_2_98·b_1_22 + b_2_98·b_1_0·b_1_3
+ a_10_121·b_1_13·b_1_35 + a_10_121·b_1_14·b_1_34 + a_10_121·b_1_17·b_1_3
+ a_10_121·b_1_18 + b_2_9·a_10_121·b_1_2·b_1_35 + a_2_5·b_1_37·b_9_117
+ a_2_5·b_1_22·b_1_314 + a_2_5·b_1_1·b_1_36·b_9_117 + a_2_5·b_1_1·b_1_2·b_1_314
+ a_2_5·b_1_1·b_1_22·b_1_313 + a_2_5·b_1_12·b_1_35·b_9_117
+ a_2_5·b_1_12·b_1_35·b_9_116 + a_2_5·b_1_12·b_1_2·b_1_313
+ a_2_5·b_1_13·b_1_34·b_9_116 + a_2_5·b_1_13·b_1_2·b_1_312
+ a_2_5·b_1_13·b_1_22·b_1_311 + a_2_5·b_1_14·b_1_2·b_1_32·b_9_117
+ a_2_5·b_1_15·b_1_311 + a_2_5·b_1_15·b_1_2·b_1_310
+ a_2_5·b_1_15·b_1_22·b_1_39 + a_2_5·b_1_16·b_1_3·b_9_116
+ a_2_5·b_1_16·b_1_310 + a_2_5·b_1_16·b_1_2·b_1_39 + a_2_5·b_1_17·b_9_117
+ a_2_5·b_1_17·b_9_116 + a_2_5·b_1_17·b_1_39 + a_2_5·b_1_17·b_1_22·b_1_37
+ a_2_5·b_1_18·b_1_2·b_1_37 + a_2_5·b_1_18·b_1_22·b_1_36
+ a_2_5·b_1_19·b_1_37 + a_2_5·b_1_19·b_1_2·b_1_36
+ a_2_5·b_1_19·b_1_22·b_1_35 + a_2_5·b_1_110·b_1_2·b_1_35
+ a_2_5·b_1_111·b_1_35 + a_2_5·b_1_111·b_1_2·b_1_34
+ a_2_5·b_1_112·b_1_2·b_1_33 + a_2_5·b_1_112·b_1_22·b_1_32
+ a_2_5·b_1_114·b_1_32 + a_2_5·b_1_114·b_1_22 + a_2_5·b_1_115·b_1_2
+ a_2_5·b_1_02·b_5_45·b_9_117 + a_2_5·b_2_9·b_5_45·b_9_117
+ a_2_5·b_2_9·b_1_35·b_9_117 + a_2_5·b_2_9·b_1_13·b_1_32·b_9_116
+ a_2_5·b_2_9·b_1_15·b_9_116 + a_2_5·b_2_9·b_1_19·b_1_35
+ a_2_5·b_2_9·b_1_110·b_1_34 + a_2_5·b_2_9·b_1_111·b_1_33
+ a_2_5·b_2_9·b_1_112·b_1_32 + a_2_5·b_2_9·b_1_114 + a_2_5·b_2_9·b_1_05·b_9_117
+ a_2_5·b_2_9·b_1_09·b_5_45 + a_2_5·b_2_92·b_1_2·b_1_311
+ a_2_5·b_2_92·b_1_03·b_9_117 + a_2_5·b_2_92·b_1_012 + a_2_5·b_2_93·b_1_310
+ a_2_5·b_2_93·b_1_2·b_1_39 + a_2_5·b_2_93·b_1_05·b_5_45
+ a_2_5·b_2_93·b_1_010 + a_2_5·b_2_94·b_1_2·b_1_37 + a_2_5·b_2_94·b_1_08
+ a_2_5·b_2_95·b_1_3·b_5_45 + a_2_5·b_2_95·b_1_36 + a_2_5·b_2_95·b_1_0·b_5_45
+ a_2_5·b_2_95·b_1_06 + a_2_5·b_2_96·b_1_04 + a_2_5·b_2_97·b_1_32
+ a_2_5·b_2_97·b_1_02 + a_2_5·b_2_98 + a_2_5·a_10_121·b_1_36
+ a_2_5·a_10_121·b_1_12·b_1_34 + a_2_5·a_10_121·b_1_13·b_1_33
+ a_2_5·a_10_121·b_1_15·b_1_3 + a_2_5·a_10_121·b_1_16
+ a_2_5·b_2_9·a_10_121·b_1_34 + a_2_5·b_2_93·a_10_121 + a_2_52·b_1_2·b_1_313
+ a_2_52·b_1_22·b_1_312 + a_2_52·b_1_1·b_1_2·b_1_33·b_9_117
+ a_2_52·b_1_1·b_1_22·b_1_311 + a_2_52·b_1_12·b_1_33·b_9_117
+ a_2_52·b_1_12·b_1_312 + a_2_52·b_1_12·b_1_2·b_1_32·b_9_117
+ a_2_52·b_1_13·b_1_32·b_9_117 + a_2_52·b_1_13·b_1_32·b_9_116
+ a_2_52·b_1_14·b_1_3·b_9_117 + a_2_52·b_1_14·b_1_2·b_1_39
+ a_2_52·b_1_14·b_1_22·b_1_38 + a_2_52·b_1_15·b_9_117
+ a_2_52·b_1_15·b_1_2·b_1_38 + a_2_52·b_1_15·b_1_22·b_1_37
+ a_2_52·b_1_16·b_1_22·b_1_36 + a_2_52·b_1_17·b_1_37
+ a_2_52·b_1_17·b_1_2·b_1_36 + a_2_52·b_1_18·b_1_36
+ a_2_52·b_1_18·b_1_2·b_1_35 + a_2_52·b_1_18·b_1_22·b_1_34
+ a_2_52·b_1_19·b_1_22·b_1_33 + a_2_52·b_1_111·b_1_33
+ a_2_52·b_1_112·b_1_32 + a_2_52·b_1_112·b_1_2·b_1_3 + a_2_52·b_1_113·b_1_3
+ a_2_52·b_1_113·b_1_2 + a_2_52·b_2_9·b_1_15·b_1_37
+ a_2_52·b_2_9·b_1_17·b_1_35 + a_2_52·b_2_9·b_1_18·b_1_34
+ a_2_52·b_2_9·b_1_19·b_1_33 + a_2_52·b_2_9·b_1_112 + a_2_52·b_2_96·b_1_32
+ a_2_52·b_2_97 + a_2_52·a_10_121·b_1_34 + a_2_52·a_10_121·b_1_12·b_1_32 -
b_9_116·b_9_118 + b_9_116·b_9_117 + b_9_1162 + b_1_12·b_1_2·b_1_36·b_9_117
+ b_1_12·b_1_22·b_1_314 + b_1_13·b_1_2·b_1_35·b_9_117
+ b_1_13·b_1_22·b_1_313 + b_1_14·b_1_2·b_1_34·b_9_117
+ b_1_14·b_1_22·b_1_312 + b_1_17·b_1_2·b_1_3·b_9_117 + b_1_17·b_1_22·b_1_39
+ b_1_18·b_1_2·b_9_117 + b_1_18·b_1_22·b_1_38 + b_2_9·b_1_37·b_9_116
+ b_2_9·b_1_1·b_1_36·b_9_116 + b_2_9·b_1_13·b_1_34·b_9_116
+ b_2_9·b_1_14·b_1_33·b_9_116 + b_2_9·b_1_15·b_1_32·b_9_116
+ b_2_9·b_1_16·b_1_3·b_9_116 + b_2_9·b_1_17·b_9_116 + b_2_9·b_1_19·b_1_37
+ b_2_9·b_1_110·b_1_36 + b_2_9·b_1_111·b_1_35 + b_2_9·b_1_113·b_1_33
+ b_2_9·b_1_02·b_5_45·b_9_117 + b_2_9·b_1_07·b_9_117 + b_2_9·b_1_011·b_5_45
+ b_2_92·b_1_35·b_9_116 + b_2_92·b_1_05·b_9_117 + b_2_92·b_1_09·b_5_45
+ b_2_93·b_1_22·b_1_3·b_9_117 + b_2_93·b_1_03·b_9_117 + b_2_94·b_1_3·b_9_118
+ b_2_94·b_1_3·b_9_117 + b_2_94·b_1_3·b_9_116 + b_2_94·b_1_35·b_5_45
+ b_2_94·b_1_05·b_5_45 + b_2_94·b_1_010 + b_2_95·b_1_33·b_5_45
+ b_2_95·b_1_2·b_1_37 + b_2_95·b_1_22·b_1_36 + b_2_96·b_1_36
+ b_2_96·b_1_22·b_1_34 + b_2_97·b_1_34 + b_2_97·b_1_2·b_1_33
+ b_2_97·b_1_04 + b_2_98·b_1_0·b_1_3 + a_10_121·b_1_12·b_1_36
+ a_10_121·b_1_16·b_1_32 + a_10_121·b_1_17·b_1_3 + a_10_121·b_1_18
+ b_2_92·a_10_121·b_1_2·b_1_33 + a_2_5·b_1_37·b_9_116 + a_2_5·b_1_22·b_1_314
+ a_2_5·b_1_1·b_1_36·b_9_117 + a_2_5·b_1_1·b_1_36·b_9_116
+ a_2_5·b_1_1·b_1_2·b_1_314 + a_2_5·b_1_12·b_1_35·b_9_116
+ a_2_5·b_1_12·b_1_2·b_1_34·b_9_117 + a_2_5·b_1_12·b_1_22·b_1_312
+ a_2_5·b_1_13·b_1_34·b_9_116 + a_2_5·b_1_13·b_1_2·b_1_312
+ a_2_5·b_1_13·b_1_22·b_1_311 + a_2_5·b_1_14·b_1_33·b_9_117
+ a_2_5·b_1_14·b_1_33·b_9_116 + a_2_5·b_1_14·b_1_312
+ a_2_5·b_1_14·b_1_22·b_1_310 + a_2_5·b_1_15·b_1_2·b_1_3·b_9_117
+ a_2_5·b_1_15·b_1_22·b_1_39 + a_2_5·b_1_16·b_1_310
+ a_2_5·b_1_16·b_1_2·b_9_117 + a_2_5·b_1_16·b_1_2·b_1_39
+ a_2_5·b_1_16·b_1_22·b_1_38 + a_2_5·b_1_17·b_9_116 + a_2_5·b_1_17·b_1_39
+ a_2_5·b_1_17·b_1_2·b_1_38 + a_2_5·b_1_18·b_1_2·b_1_37
+ a_2_5·b_1_19·b_1_37 + a_2_5·b_1_19·b_1_2·b_1_36
+ a_2_5·b_1_19·b_1_22·b_1_35 + a_2_5·b_1_110·b_1_2·b_1_35
+ a_2_5·b_1_110·b_1_22·b_1_34 + a_2_5·b_1_111·b_1_2·b_1_34
+ a_2_5·b_1_112·b_1_34 + a_2_5·b_1_112·b_1_22·b_1_32 + a_2_5·b_1_114·b_1_32
+ a_2_5·b_1_02·b_5_45·b_9_117 + a_2_5·b_1_07·b_9_117 + a_2_5·b_1_011·b_5_45
+ a_2_5·b_2_9·b_5_45·b_9_117 + a_2_5·b_2_9·b_1_1·b_1_34·b_9_116
+ a_2_5·b_2_9·b_1_12·b_1_33·b_9_116 + a_2_5·b_2_9·b_1_13·b_1_32·b_9_116
+ a_2_5·b_2_9·b_1_17·b_1_37 + a_2_5·b_2_9·b_1_18·b_1_36
+ a_2_5·b_2_9·b_1_110·b_1_34 + a_2_5·b_2_9·b_1_113·b_1_3 + a_2_5·b_2_9·b_1_114
+ a_2_5·b_2_9·b_1_05·b_9_117 + a_2_5·b_2_9·b_1_09·b_5_45
+ a_2_5·b_2_92·b_1_03·b_9_117 + a_2_5·b_2_93·b_1_3·b_9_117
+ a_2_5·b_2_93·b_1_05·b_5_45 + a_2_5·b_2_95·b_1_3·b_5_45 + a_2_5·b_2_95·b_1_36
+ a_2_5·b_2_95·b_1_2·b_1_35 + a_2_5·b_2_96·b_1_2·b_1_33
+ a_2_5·b_2_96·b_1_04 + a_2_5·b_2_97·b_1_32 + a_2_5·b_2_98
+ a_2_5·a_10_121·b_1_12·b_1_34 + a_2_5·a_10_121·b_1_14·b_1_32
+ a_2_5·a_10_121·b_1_16 + a_2_5·b_2_9·a_10_121·b_1_34
+ a_2_5·b_2_92·a_10_121·b_1_32 + a_2_52·b_1_314 + a_2_52·b_1_2·b_1_313
+ a_2_52·b_1_1·b_1_34·b_9_117 + a_2_52·b_1_1·b_1_313
+ a_2_52·b_1_1·b_1_2·b_1_33·b_9_117 + a_2_52·b_1_1·b_1_22·b_1_311
+ a_2_52·b_1_12·b_1_33·b_9_117 + a_2_52·b_1_12·b_1_33·b_9_116
+ a_2_52·b_1_12·b_1_2·b_1_32·b_9_117 + a_2_52·b_1_12·b_1_2·b_1_311
+ a_2_52·b_1_12·b_1_22·b_1_310 + a_2_52·b_1_13·b_1_32·b_9_117
+ a_2_52·b_1_13·b_1_32·b_9_116 + a_2_52·b_1_13·b_1_311
+ a_2_52·b_1_14·b_1_2·b_1_39 + a_2_52·b_1_14·b_1_22·b_1_38
+ a_2_52·b_1_15·b_1_39 + a_2_52·b_1_16·b_1_38
+ a_2_52·b_1_16·b_1_22·b_1_36 + a_2_52·b_1_17·b_1_37
+ a_2_52·b_1_18·b_1_36 + a_2_52·b_1_18·b_1_22·b_1_34
+ a_2_52·b_1_19·b_1_35 + a_2_52·b_1_19·b_1_22·b_1_33
+ a_2_52·b_1_110·b_1_34 + a_2_52·b_1_110·b_1_2·b_1_33
+ a_2_52·b_1_111·b_1_33 + a_2_52·b_1_111·b_1_2·b_1_32
+ a_2_52·b_1_111·b_1_22·b_1_3 + a_2_52·b_1_112·b_1_22 + a_2_52·b_1_114
+ a_2_52·b_2_9·b_1_12·b_1_3·b_9_116 + a_2_52·b_2_9·b_1_13·b_9_116
+ a_2_52·b_2_9·b_1_15·b_1_37 + a_2_52·b_2_9·b_1_17·b_1_35
+ a_2_52·b_2_9·b_1_18·b_1_34 + a_2_52·b_2_9·b_1_19·b_1_33
+ a_2_52·b_2_9·b_1_110·b_1_32 + a_2_52·b_2_9·b_1_111·b_1_3
+ a_2_52·b_2_95·b_1_34 + a_2_52·b_2_96·b_1_32 + a_2_52·b_2_97
+ a_2_52·a_10_121·b_1_14 -
b_9_1182 + b_9_1162 + b_1_2·b_1_38·b_9_117 + b_1_1·b_1_2·b_1_37·b_9_117
+ b_1_12·b_1_22·b_1_314 + b_1_14·b_1_22·b_1_312 + b_1_17·b_1_2·b_1_3·b_9_117
+ b_1_18·b_1_22·b_1_38 + b_1_19·b_1_22·b_1_37 + b_1_110·b_1_22·b_1_36
+ b_1_114·b_1_22·b_1_32 + b_1_09·b_9_117 + b_1_013·b_5_45 + b_2_9·b_1_316
+ b_2_9·b_1_2·b_1_315 + b_2_9·b_1_12·b_1_35·b_9_116
+ b_2_9·b_1_13·b_1_34·b_9_116 + b_2_9·b_1_19·b_1_37 + b_2_9·b_1_110·b_1_36
+ b_2_9·b_1_112·b_1_34 + b_2_9·b_1_114·b_1_32 + b_2_92·b_1_2·b_1_34·b_9_117
+ b_2_92·b_1_2·b_1_313 + b_2_92·b_1_05·b_9_117 + b_2_93·b_1_2·b_1_311
+ b_2_93·b_1_012 + b_2_94·b_1_2·b_1_39 + b_2_94·b_1_0·b_9_117
+ b_2_94·b_1_010 + b_2_95·b_1_38 + b_2_95·b_1_22·b_1_36 + b_2_95·b_1_08
+ b_2_96·b_1_22·b_1_34 + b_2_96·b_1_0·b_5_45 + b_2_96·b_1_06
+ b_2_97·b_1_22·b_1_32 + b_2_97·b_1_04 + b_2_98·b_1_1·b_1_3
+ b_2_98·b_1_0·b_1_3 + a_10_121·b_1_15·b_1_33 + a_10_121·b_1_18
+ b_2_9·a_10_121·b_1_2·b_1_35 + b_2_92·a_10_121·b_1_2·b_1_33
+ a_2_5·b_1_22·b_1_314 + a_2_5·b_1_1·b_1_36·b_9_117
+ a_2_5·b_1_1·b_1_22·b_1_313 + a_2_5·b_1_12·b_1_2·b_1_34·b_9_117
+ a_2_5·b_1_12·b_1_22·b_1_312 + a_2_5·b_1_13·b_1_2·b_1_33·b_9_117
+ a_2_5·b_1_14·b_1_33·b_9_116 + a_2_5·b_1_14·b_1_2·b_1_32·b_9_117
+ a_2_5·b_1_14·b_1_2·b_1_311 + a_2_5·b_1_14·b_1_22·b_1_310
+ a_2_5·b_1_15·b_1_22·b_1_39 + a_2_5·b_1_16·b_1_22·b_1_38
+ a_2_5·b_1_17·b_9_117 + a_2_5·b_1_17·b_9_116 + a_2_5·b_1_17·b_1_39
+ a_2_5·b_1_17·b_1_2·b_1_38 + a_2_5·b_1_18·b_1_2·b_1_37
+ a_2_5·b_1_18·b_1_22·b_1_36 + a_2_5·b_1_19·b_1_37
+ a_2_5·b_1_19·b_1_2·b_1_36 + a_2_5·b_1_19·b_1_22·b_1_35
+ a_2_5·b_1_110·b_1_22·b_1_34 + a_2_5·b_1_111·b_1_35
+ a_2_5·b_1_111·b_1_2·b_1_34 + a_2_5·b_1_112·b_1_34
+ a_2_5·b_1_112·b_1_2·b_1_33 + a_2_5·b_1_112·b_1_22·b_1_32
+ a_2_5·b_1_113·b_1_33 + a_2_5·b_1_113·b_1_2·b_1_32
+ a_2_5·b_1_113·b_1_22·b_1_3 + a_2_5·b_1_114·b_1_32 + a_2_5·b_1_114·b_1_2·b_1_3
+ a_2_5·b_2_9·b_1_35·b_9_117 + a_2_5·b_2_9·b_1_35·b_9_116
+ a_2_5·b_2_9·b_1_2·b_1_313 + a_2_5·b_2_9·b_1_13·b_1_32·b_9_116
+ a_2_5·b_2_9·b_1_14·b_1_3·b_9_116 + a_2_5·b_2_9·b_1_17·b_1_37
+ a_2_5·b_2_9·b_1_111·b_1_33 + a_2_5·b_2_9·b_1_113·b_1_3 + a_2_5·b_2_9·b_1_114
+ a_2_5·b_2_9·b_1_09·b_5_45 + a_2_5·b_2_92·b_1_33·b_9_117
+ a_2_5·b_2_92·b_1_312 + a_2_5·b_2_92·b_1_2·b_1_311 + a_2_5·b_2_92·b_1_012
+ a_2_5·b_2_93·b_1_310 + a_2_5·b_2_93·b_1_2·b_1_39
+ a_2_5·b_2_93·b_1_05·b_5_45 + a_2_5·b_2_93·b_1_010 + a_2_5·b_2_94·b_1_08
+ a_2_5·b_2_95·b_1_3·b_5_45 + a_2_5·b_2_95·b_1_36 + a_2_5·b_2_95·b_1_0·b_5_45
+ a_2_5·b_2_95·b_1_06 + a_2_5·b_2_96·b_1_04 + a_2_5·b_2_97·b_1_32
+ a_2_5·b_2_97·b_1_02 + a_2_5·b_2_98 + a_2_5·a_10_121·b_1_36
+ a_2_5·a_10_121·b_1_12·b_1_34 + a_2_5·a_10_121·b_1_13·b_1_33
+ a_2_5·a_10_121·b_1_15·b_1_3 + a_2_5·a_10_121·b_1_16
+ a_2_5·b_2_92·a_10_121·b_1_32 + a_2_5·b_2_93·a_10_121 + a_2_52·b_1_35·b_9_117
+ a_2_52·b_1_2·b_1_34·b_9_117 + a_2_52·b_1_1·b_1_34·b_9_116
+ a_2_52·b_1_1·b_1_313 + a_2_52·b_1_1·b_1_2·b_1_312
+ a_2_52·b_1_12·b_1_33·b_9_116 + a_2_52·b_1_12·b_1_2·b_1_32·b_9_117
+ a_2_52·b_1_12·b_1_22·b_1_310 + a_2_52·b_1_13·b_1_311
+ a_2_52·b_1_13·b_1_22·b_1_39 + a_2_52·b_1_14·b_1_3·b_9_116
+ a_2_52·b_1_14·b_1_310 + a_2_52·b_1_14·b_1_2·b_9_117
+ a_2_52·b_1_14·b_1_2·b_1_39 + a_2_52·b_1_14·b_1_22·b_1_38
+ a_2_52·b_1_15·b_9_117 + a_2_52·b_1_15·b_1_22·b_1_37
+ a_2_52·b_1_16·b_1_38 + a_2_52·b_1_16·b_1_2·b_1_37
+ a_2_52·b_1_17·b_1_2·b_1_36 + a_2_52·b_1_18·b_1_36
+ a_2_52·b_1_19·b_1_35 + a_2_52·b_1_19·b_1_2·b_1_34
+ a_2_52·b_1_110·b_1_2·b_1_33 + a_2_52·b_1_111·b_1_33
+ a_2_52·b_1_111·b_1_22·b_1_3 + a_2_52·b_1_112·b_1_22 + a_2_52·b_1_113·b_1_2
+ a_2_52·b_1_114 + a_2_52·b_2_9·b_1_33·b_9_116
+ a_2_52·b_2_9·b_1_1·b_1_32·b_9_116 + a_2_52·b_2_9·b_1_13·b_9_116
+ a_2_52·b_2_9·b_1_15·b_1_37 + a_2_52·b_2_9·b_1_17·b_1_35
+ a_2_52·b_2_9·b_1_19·b_1_33 + a_2_52·b_2_9·b_1_110·b_1_32
+ a_2_52·b_2_9·b_1_111·b_1_3 + a_2_52·b_2_9·b_1_112 + a_2_52·b_2_95·b_1_34
+ a_2_52·b_2_96·b_1_32 + a_2_52·a_10_121·b_1_34 + c_16_329·b_1_22 -
b_9_116·b_9_117 + b_1_2·b_1_38·b_9_117 + b_1_1·b_1_38·b_9_117
+ b_1_12·b_1_37·b_9_117 + b_1_12·b_1_2·b_1_36·b_9_117 + b_1_12·b_1_22·b_1_314
+ b_1_13·b_1_36·b_9_117 + b_1_13·b_1_2·b_1_35·b_9_117 + b_1_14·b_1_35·b_9_117
+ b_1_14·b_1_2·b_1_34·b_9_117 + b_1_15·b_1_34·b_9_117 + b_1_16·b_1_22·b_1_310
+ b_1_18·b_1_3·b_9_117 + b_1_18·b_1_2·b_9_117 + b_1_19·b_9_117
+ b_1_19·b_1_22·b_1_37 + b_1_110·b_1_22·b_1_36 + b_1_116·b_1_22
+ b_2_9·b_1_2·b_1_315 + b_2_9·b_1_14·b_1_33·b_9_116
+ b_2_9·b_1_15·b_1_32·b_9_116 + b_2_9·b_1_17·b_9_116 + b_2_9·b_1_19·b_1_37
+ b_2_9·b_1_110·b_1_36 + b_2_9·b_1_112·b_1_34 + b_2_9·b_1_113·b_1_33
+ b_2_9·b_1_116 + b_2_9·b_1_02·b_5_45·b_9_117 + b_2_92·b_1_35·b_9_117
+ b_2_92·b_1_35·b_9_116 + b_2_93·b_1_33·b_9_117 + b_2_93·b_1_2·b_1_32·b_9_117
+ b_2_93·b_1_22·b_1_3·b_9_117 + b_2_94·b_1_3·b_9_117 + b_2_94·b_1_3·b_9_116
+ b_2_94·b_1_310 + b_2_94·b_1_2·b_9_117 + b_2_95·b_1_38
+ b_2_95·b_1_22·b_1_36 + b_2_96·b_1_2·b_1_35 + b_2_96·b_1_22·b_1_34
+ b_2_97·b_1_34 + b_2_97·b_1_2·b_1_33 + b_2_97·b_1_0·b_1_33 + b_2_98·b_1_32
+ b_2_98·b_1_2·b_1_3 + b_2_98·b_1_1·b_1_3 + a_10_121·b_1_38
+ a_10_121·b_1_2·b_1_37 + a_10_121·b_1_17·b_1_3 + b_2_9·a_10_121·b_1_3·b_5_45
+ b_2_9·a_10_121·b_1_36 + b_2_92·a_10_121·b_1_34
+ b_2_92·a_10_121·b_1_2·b_1_33 + b_2_93·a_10_121·b_1_32 + a_2_5·b_1_37·b_9_116
+ a_2_5·b_1_316 + a_2_5·b_1_2·b_1_36·b_9_117 + a_2_5·b_1_2·b_1_315
+ a_2_5·b_1_22·b_1_314 + a_2_5·b_1_1·b_1_2·b_1_35·b_9_117
+ a_2_5·b_1_1·b_1_2·b_1_314 + a_2_5·b_1_12·b_1_314
+ a_2_5·b_1_12·b_1_2·b_1_313 + a_2_5·b_1_13·b_1_34·b_9_117
+ a_2_5·b_1_13·b_1_34·b_9_116 + a_2_5·b_1_13·b_1_2·b_1_312
+ a_2_5·b_1_13·b_1_22·b_1_311 + a_2_5·b_1_14·b_1_33·b_9_117
+ a_2_5·b_1_14·b_1_33·b_9_116 + a_2_5·b_1_15·b_1_32·b_9_117
+ a_2_5·b_1_16·b_1_3·b_9_117 + a_2_5·b_1_16·b_1_310 + a_2_5·b_1_17·b_9_117
+ a_2_5·b_1_17·b_1_2·b_1_38 + a_2_5·b_1_17·b_1_22·b_1_37
+ a_2_5·b_1_18·b_1_38 + a_2_5·b_1_18·b_1_2·b_1_37
+ a_2_5·b_1_18·b_1_22·b_1_36 + a_2_5·b_1_19·b_1_2·b_1_36
+ a_2_5·b_1_110·b_1_36 + a_2_5·b_1_110·b_1_22·b_1_34 + a_2_5·b_1_111·b_1_35
+ a_2_5·b_1_112·b_1_34 + a_2_5·b_1_112·b_1_2·b_1_33
+ a_2_5·b_1_112·b_1_22·b_1_32 + a_2_5·b_1_113·b_1_2·b_1_32
+ a_2_5·b_1_114·b_1_32 + a_2_5·b_1_114·b_1_2·b_1_3 + a_2_5·b_1_114·b_1_22
+ a_2_5·b_1_115·b_1_3 + a_2_5·b_1_115·b_1_2 + a_2_5·b_1_02·b_5_45·b_9_117
+ a_2_5·b_2_9·b_5_45·b_9_117 + a_2_5·b_2_9·b_1_35·b_9_117
+ a_2_5·b_2_9·b_1_35·b_9_116 + a_2_5·b_2_9·b_1_1·b_1_34·b_9_116
+ a_2_5·b_2_9·b_1_13·b_1_32·b_9_116 + a_2_5·b_2_9·b_1_14·b_1_3·b_9_116
+ a_2_5·b_2_9·b_1_15·b_9_116 + a_2_5·b_2_9·b_1_113·b_1_3 + a_2_5·b_2_9·b_1_114
+ a_2_5·b_2_92·b_1_33·b_9_117 + a_2_5·b_2_92·b_1_2·b_1_311
+ a_2_5·b_2_93·b_1_0·b_9_117 + a_2_5·b_2_95·b_1_2·b_1_35
+ a_2_5·b_2_95·b_1_0·b_5_45 + a_2_5·b_2_96·b_1_34 + a_2_5·b_2_97·b_1_2·b_1_3
+ a_2_5·a_10_121·b_1_36 + a_2_5·a_10_121·b_1_13·b_1_33
+ a_2_5·a_10_121·b_1_15·b_1_3 + a_2_5·a_10_121·b_1_16 + a_2_52·b_1_35·b_9_117
+ a_2_52·b_1_35·b_9_116 + a_2_52·b_1_314 + a_2_52·b_1_2·b_1_313
+ a_2_52·b_1_22·b_1_312 + a_2_52·b_1_1·b_1_34·b_9_117 + a_2_52·b_1_1·b_1_313
+ a_2_52·b_1_1·b_1_22·b_1_311 + a_2_52·b_1_12·b_1_33·b_9_116
+ a_2_52·b_1_12·b_1_2·b_1_32·b_9_117 + a_2_52·b_1_12·b_1_2·b_1_311
+ a_2_52·b_1_13·b_1_32·b_9_117 + a_2_52·b_1_13·b_1_32·b_9_116
+ a_2_52·b_1_13·b_1_2·b_1_3·b_9_117 + a_2_52·b_1_13·b_1_2·b_1_310
+ a_2_52·b_1_13·b_1_22·b_1_39 + a_2_52·b_1_14·b_1_3·b_9_116
+ a_2_52·b_1_14·b_1_2·b_9_117 + a_2_52·b_1_14·b_1_2·b_1_39
+ a_2_52·b_1_16·b_1_38 + a_2_52·b_1_16·b_1_22·b_1_36
+ a_2_52·b_1_17·b_1_37 + a_2_52·b_1_18·b_1_36 + a_2_52·b_1_19·b_1_35
+ a_2_52·b_1_19·b_1_2·b_1_34 + a_2_52·b_1_19·b_1_22·b_1_33
+ a_2_52·b_1_110·b_1_34 + a_2_52·b_1_110·b_1_2·b_1_33
+ a_2_52·b_1_110·b_1_22·b_1_32 + a_2_52·b_1_112·b_1_32
+ a_2_52·b_1_112·b_1_22 + a_2_52·b_1_113·b_1_3 + a_2_52·b_1_113·b_1_2
+ a_2_52·b_1_114 + a_2_52·b_2_9·b_1_33·b_9_116 + a_2_52·b_2_9·b_1_15·b_1_37
+ a_2_52·b_2_9·b_1_17·b_1_35 + a_2_52·b_2_9·b_1_18·b_1_34
+ a_2_52·b_2_9·b_1_19·b_1_33 + a_2_52·b_2_9·b_1_110·b_1_32
+ a_2_52·a_10_121·b_1_1·b_1_33 + c_16_329·b_1_1·b_1_2 -
b_9_117·b_9_118 + b_9_1172 + b_9_116·b_9_117 + b_1_12·b_1_2·b_1_36·b_9_117
+ b_1_13·b_1_2·b_1_35·b_9_117 + b_1_14·b_1_2·b_1_34·b_9_117
+ b_1_17·b_1_2·b_1_3·b_9_117 + b_1_18·b_1_2·b_9_117 + b_1_04·b_5_45·b_9_117
+ b_1_013·b_5_45 + b_2_9·b_1_37·b_9_117 + b_2_9·b_1_12·b_1_35·b_9_116
+ b_2_9·b_1_14·b_1_33·b_9_116 + b_2_9·b_1_15·b_1_32·b_9_116
+ b_2_9·b_1_111·b_1_35 + b_2_9·b_1_113·b_1_33 + b_2_9·b_1_114·b_1_32
+ b_2_9·b_1_02·b_5_45·b_9_117 + b_2_9·b_1_011·b_5_45 + b_2_92·b_5_45·b_9_117
+ b_2_92·b_1_35·b_9_117 + b_2_92·b_1_05·b_9_117 + b_2_92·b_1_09·b_5_45
+ b_2_93·b_1_33·b_9_117 + b_2_93·b_1_2·b_1_32·b_9_117 + b_2_93·b_1_03·b_9_117
+ b_2_93·b_1_07·b_5_45 + b_2_94·b_1_3·b_9_117 + b_2_94·b_1_2·b_9_117
+ b_2_94·b_1_0·b_9_117 + b_2_94·b_1_05·b_5_45 + b_2_95·b_1_03·b_5_45
+ b_2_95·b_1_08 + b_2_97·b_1_0·b_1_33 + b_2_98·b_1_1·b_1_3 + b_2_98·b_1_02
+ a_10_121·b_1_13·b_1_35 + a_10_121·b_1_14·b_1_34 + a_10_121·b_1_17·b_1_3
+ a_10_121·b_1_18 + b_2_9·a_10_121·b_1_2·b_1_35 + a_2_5·b_1_37·b_9_117
+ a_2_5·b_1_22·b_1_314 + a_2_5·b_1_1·b_1_36·b_9_117 + a_2_5·b_1_1·b_1_2·b_1_314
+ a_2_5·b_1_1·b_1_22·b_1_313 + a_2_5·b_1_12·b_1_35·b_9_117
+ a_2_5·b_1_12·b_1_35·b_9_116 + a_2_5·b_1_12·b_1_2·b_1_313
+ a_2_5·b_1_12·b_1_22·b_1_312 + a_2_5·b_1_13·b_1_34·b_9_116
+ a_2_5·b_1_13·b_1_22·b_1_311 + a_2_5·b_1_14·b_1_2·b_1_32·b_9_117
+ a_2_5·b_1_14·b_1_22·b_1_310 + a_2_5·b_1_15·b_1_311
+ a_2_5·b_1_15·b_1_22·b_1_39 + a_2_5·b_1_16·b_1_3·b_9_116
+ a_2_5·b_1_16·b_1_310 + a_2_5·b_1_16·b_1_2·b_1_39
+ a_2_5·b_1_16·b_1_22·b_1_38 + a_2_5·b_1_17·b_9_117 + a_2_5·b_1_17·b_9_116
+ a_2_5·b_1_17·b_1_39 + a_2_5·b_1_17·b_1_2·b_1_38
+ a_2_5·b_1_17·b_1_22·b_1_37 + a_2_5·b_1_18·b_1_2·b_1_37
+ a_2_5·b_1_18·b_1_22·b_1_36 + a_2_5·b_1_19·b_1_37
+ a_2_5·b_1_19·b_1_2·b_1_36 + a_2_5·b_1_19·b_1_22·b_1_35
+ a_2_5·b_1_110·b_1_2·b_1_35 + a_2_5·b_1_111·b_1_35
+ a_2_5·b_1_111·b_1_2·b_1_34 + a_2_5·b_1_112·b_1_2·b_1_33
+ a_2_5·b_1_113·b_1_2·b_1_32 + a_2_5·b_1_114·b_1_32
+ a_2_5·b_1_02·b_5_45·b_9_117 + a_2_5·b_1_07·b_9_117 + a_2_5·b_2_9·b_5_45·b_9_117
+ a_2_5·b_2_9·b_1_35·b_9_117 + a_2_5·b_2_9·b_1_13·b_1_32·b_9_116
+ a_2_5·b_2_9·b_1_15·b_9_116 + a_2_5·b_2_9·b_1_17·b_1_37
+ a_2_5·b_2_9·b_1_110·b_1_34 + a_2_5·b_2_9·b_1_111·b_1_33
+ a_2_5·b_2_9·b_1_05·b_9_117 + a_2_5·b_2_9·b_1_09·b_5_45
+ a_2_5·b_2_92·b_1_2·b_1_311 + a_2_5·b_2_92·b_1_012 + a_2_5·b_2_93·b_1_310
+ a_2_5·b_2_93·b_1_2·b_1_39 + a_2_5·b_2_93·b_1_0·b_9_117
+ a_2_5·b_2_93·b_1_05·b_5_45 + a_2_5·b_2_93·b_1_010
+ a_2_5·b_2_94·b_1_2·b_1_37 + a_2_5·b_2_95·b_1_36 + a_2_5·b_2_95·b_1_06
+ a_2_5·b_2_96·b_1_04 + a_2_5·b_2_97·b_1_02 + a_2_5·a_10_121·b_1_36
+ a_2_5·a_10_121·b_1_14·b_1_32 + a_2_5·a_10_121·b_1_15·b_1_3
+ a_2_5·a_10_121·b_1_16 + a_2_5·b_2_9·a_10_121·b_1_34 + a_2_5·b_2_93·a_10_121
+ a_2_52·b_1_314 + a_2_52·b_1_2·b_1_313 + a_2_52·b_1_1·b_1_34·b_9_116
+ a_2_52·b_1_1·b_1_2·b_1_33·b_9_117 + a_2_52·b_1_1·b_1_2·b_1_312
+ a_2_52·b_1_12·b_1_33·b_9_117 + a_2_52·b_1_12·b_1_33·b_9_116
+ a_2_52·b_1_12·b_1_2·b_1_32·b_9_117 + a_2_52·b_1_12·b_1_22·b_1_310
+ a_2_52·b_1_13·b_1_32·b_9_117 + a_2_52·b_1_14·b_1_3·b_9_117
+ a_2_52·b_1_14·b_1_310 + a_2_52·b_1_14·b_1_2·b_1_39
+ a_2_52·b_1_15·b_9_117 + a_2_52·b_1_15·b_1_39 + a_2_52·b_1_16·b_1_2·b_1_37
+ a_2_52·b_1_17·b_1_37 + a_2_52·b_1_18·b_1_36
+ a_2_52·b_1_19·b_1_2·b_1_34 + a_2_52·b_1_110·b_1_2·b_1_33
+ a_2_52·b_1_110·b_1_22·b_1_32 + a_2_52·b_1_111·b_1_33
+ a_2_52·b_1_111·b_1_2·b_1_32 + a_2_52·b_1_112·b_1_32
+ a_2_52·b_1_112·b_1_2·b_1_3 + a_2_52·b_1_112·b_1_22 + a_2_52·b_1_113·b_1_3
+ a_2_52·b_1_114 + a_2_52·b_2_9·b_1_15·b_1_37 + a_2_52·b_2_9·b_1_17·b_1_35
+ a_2_52·b_2_9·b_1_112 + a_2_52·b_2_95·b_1_34 + a_2_52·a_10_121·b_1_34
+ c_16_329·b_1_02 -
b_9_1182 + b_9_117·b_9_118 + b_9_116·b_9_117 + b_1_1·b_1_38·b_9_116
+ b_1_1·b_1_22·b_1_315 + b_1_12·b_1_37·b_9_116 + b_1_13·b_1_36·b_9_116
+ b_1_13·b_1_22·b_1_313 + b_1_14·b_1_35·b_9_116 + b_1_15·b_1_34·b_9_116
+ b_1_15·b_1_2·b_1_33·b_9_117 + b_1_16·b_1_33·b_9_117
+ b_1_17·b_1_2·b_1_3·b_9_117 + b_1_17·b_1_22·b_1_39 + b_1_18·b_1_3·b_9_116
+ b_1_19·b_9_116 + b_1_19·b_1_22·b_1_37 + b_1_110·b_1_22·b_1_36
+ b_1_114·b_1_22·b_1_32 + b_1_04·b_5_45·b_9_117 + b_1_09·b_9_117
+ b_1_013·b_5_45 + b_2_9·b_1_37·b_9_117 + b_2_9·b_1_13·b_1_34·b_9_116
+ b_2_9·b_1_15·b_1_32·b_9_116 + b_2_9·b_1_19·b_1_37 + b_2_9·b_1_111·b_1_35
+ b_2_9·b_1_02·b_5_45·b_9_117 + b_2_92·b_5_45·b_9_117 + b_2_92·b_1_35·b_9_117
+ b_2_92·b_1_314 + b_2_92·b_1_09·b_5_45 + b_2_93·b_1_33·b_9_117
+ b_2_93·b_1_2·b_1_32·b_9_117 + b_2_93·b_1_012 + b_2_94·b_1_3·b_9_117
+ b_2_94·b_1_2·b_9_117 + b_2_94·b_1_05·b_5_45 + b_2_94·b_1_010
+ b_2_95·b_1_22·b_1_36 + b_2_96·b_1_36 + b_2_96·b_1_0·b_5_45 + b_2_97·b_1_04
+ b_2_98·b_1_32 + b_2_98·b_1_0·b_1_3 + a_10_121·b_1_13·b_1_35
+ a_10_121·b_1_14·b_1_34 + a_10_121·b_1_18 + a_2_5·b_1_37·b_9_117
+ a_2_5·b_1_316 + a_2_5·b_1_22·b_1_314 + a_2_5·b_1_1·b_1_36·b_9_117
+ a_2_5·b_1_1·b_1_36·b_9_116 + a_2_5·b_1_1·b_1_315 + a_2_5·b_1_1·b_1_2·b_1_314
+ a_2_5·b_1_12·b_1_35·b_9_117 + a_2_5·b_1_12·b_1_35·b_9_116
+ a_2_5·b_1_12·b_1_314 + a_2_5·b_1_12·b_1_2·b_1_313
+ a_2_5·b_1_14·b_1_33·b_9_116 + a_2_5·b_1_15·b_1_311
+ a_2_5·b_1_15·b_1_2·b_1_3·b_9_117 + a_2_5·b_1_16·b_1_3·b_9_116
+ a_2_5·b_1_16·b_1_310 + a_2_5·b_1_16·b_1_2·b_1_39 + a_2_5·b_1_17·b_9_116
+ a_2_5·b_1_18·b_1_38 + a_2_5·b_1_18·b_1_2·b_1_37 + a_2_5·b_1_19·b_1_37
+ a_2_5·b_1_19·b_1_22·b_1_35 + a_2_5·b_1_110·b_1_2·b_1_35
+ a_2_5·b_1_111·b_1_22·b_1_33 + a_2_5·b_1_112·b_1_34
+ a_2_5·b_1_113·b_1_22·b_1_3 + a_2_5·b_1_114·b_1_32 + a_2_5·b_1_114·b_1_22
+ a_2_5·b_1_115·b_1_3 + a_2_5·b_1_115·b_1_2 + a_2_5·b_1_02·b_5_45·b_9_117
+ a_2_5·b_2_9·b_5_45·b_9_117 + a_2_5·b_2_9·b_1_2·b_1_313
+ a_2_5·b_2_9·b_1_12·b_1_33·b_9_116 + a_2_5·b_2_9·b_1_14·b_1_3·b_9_116
+ a_2_5·b_2_9·b_1_19·b_1_35 + a_2_5·b_2_9·b_1_110·b_1_34
+ a_2_5·b_2_9·b_1_111·b_1_33 + a_2_5·b_2_9·b_1_113·b_1_3
+ a_2_5·b_2_9·b_1_05·b_9_117 + a_2_5·b_2_9·b_1_09·b_5_45 + a_2_5·b_2_92·b_1_312
+ a_2_5·b_2_92·b_1_03·b_9_117 + a_2_5·b_2_92·b_1_012
+ a_2_5·b_2_93·b_1_2·b_1_39 + a_2_5·b_2_93·b_1_010
+ a_2_5·b_2_94·b_1_2·b_1_37 + a_2_5·b_2_95·b_1_2·b_1_35
+ a_2_5·b_2_95·b_1_0·b_5_45 + a_2_5·b_2_96·b_1_34 + a_2_5·b_2_96·b_1_04
+ a_2_5·b_2_97·b_1_02 + a_2_5·b_2_98 + a_2_5·a_10_121·b_1_36
+ a_2_5·a_10_121·b_1_1·b_1_35 + a_2_5·a_10_121·b_1_12·b_1_34
+ a_2_5·a_10_121·b_1_14·b_1_32 + a_2_5·b_2_9·a_10_121·b_1_34
+ a_2_5·b_2_93·a_10_121 + a_2_52·b_1_35·b_9_116 + a_2_52·b_1_2·b_1_313
+ a_2_52·b_1_1·b_1_34·b_9_116 + a_2_52·b_1_1·b_1_313
+ a_2_52·b_1_1·b_1_2·b_1_33·b_9_117 + a_2_52·b_1_1·b_1_2·b_1_312
+ a_2_52·b_1_12·b_1_33·b_9_117 + a_2_52·b_1_12·b_1_312
+ a_2_52·b_1_12·b_1_2·b_1_32·b_9_117 + a_2_52·b_1_12·b_1_2·b_1_311
+ a_2_52·b_1_13·b_1_311 + a_2_52·b_1_13·b_1_22·b_1_39
+ a_2_52·b_1_14·b_1_310 + a_2_52·b_1_14·b_1_2·b_9_117
+ a_2_52·b_1_14·b_1_2·b_1_39 + a_2_52·b_1_14·b_1_22·b_1_38
+ a_2_52·b_1_15·b_9_117 + a_2_52·b_1_15·b_1_39 + a_2_52·b_1_15·b_1_2·b_1_38
+ a_2_52·b_1_15·b_1_22·b_1_37 + a_2_52·b_1_16·b_1_38
+ a_2_52·b_1_17·b_1_2·b_1_36 + a_2_52·b_1_17·b_1_22·b_1_35
+ a_2_52·b_1_18·b_1_36 + a_2_52·b_1_18·b_1_2·b_1_35
+ a_2_52·b_1_18·b_1_22·b_1_34 + a_2_52·b_1_19·b_1_35
+ a_2_52·b_1_111·b_1_33 + a_2_52·b_1_111·b_1_22·b_1_3
+ a_2_52·b_1_112·b_1_22 + a_2_52·b_1_113·b_1_3 + a_2_52·b_1_114
+ a_2_52·b_2_9·b_1_1·b_1_32·b_9_116 + a_2_52·b_2_9·b_1_15·b_1_37
+ a_2_52·b_2_9·b_1_18·b_1_34 + a_2_52·b_2_9·b_1_111·b_1_3
+ a_2_52·b_2_95·b_1_34 + a_2_52·b_2_96·b_1_32
+ a_2_52·a_10_121·b_1_1·b_1_33 + c_16_329·b_1_12 -
b_2_9·b_1_38·b_9_116 + b_2_9·b_1_2·b_1_37·b_9_117 + b_2_9·b_1_2·b_1_316
+ b_2_9·b_1_13·b_1_35·b_9_116 + b_2_9·b_1_16·b_1_32·b_9_116
+ b_2_9·b_1_110·b_1_37 + b_2_9·b_1_111·b_1_36 + b_2_9·b_1_113·b_1_34
+ b_2_9·b_1_115·b_1_32 + b_2_93·b_1_313 + b_2_93·b_1_2·b_1_312
+ b_2_93·b_1_22·b_1_32·b_9_117 + b_2_94·b_1_311 + b_2_94·b_1_2·b_1_3·b_9_117
+ b_2_94·b_1_2·b_1_310 + b_2_94·b_1_22·b_9_117 + b_2_95·b_9_116
+ b_2_95·b_1_34·b_5_45 + b_2_95·b_1_39 + b_2_95·b_1_2·b_1_38
+ b_2_96·b_1_32·b_5_45 + b_2_96·b_1_37 + b_2_96·b_1_02·b_5_45 + b_2_97·b_1_35
+ b_2_98·b_1_2·b_1_32 + b_2_98·b_1_0·b_1_32 + b_2_99·b_1_3 + b_2_99·b_1_2
+ b_2_99·b_1_1 + a_10_121·b_9_118 + a_10_121·b_9_116 + a_10_121·b_1_34·b_5_45
+ a_10_121·b_1_12·b_1_37 + a_10_121·b_1_13·b_1_36 + a_10_121·b_1_14·b_1_35
+ a_10_121·b_1_16·b_1_33 + a_10_121·b_1_17·b_1_32 + a_10_121·b_1_18·b_1_3
+ b_2_9·a_10_121·b_1_2·b_1_36 + b_2_92·a_10_121·b_5_45 + b_2_92·a_10_121·b_1_35
+ b_2_93·a_10_121·b_1_33 + b_2_93·a_10_121·b_1_2·b_1_32
+ b_2_94·a_10_121·b_1_2 + a_2_5·b_1_1·b_1_37·b_9_117 + a_2_5·b_1_1·b_1_37·b_9_116
+ a_2_5·b_1_1·b_1_2·b_1_315 + a_2_5·b_1_12·b_1_36·b_9_116
+ a_2_5·b_1_12·b_1_2·b_1_35·b_9_117 + a_2_5·b_1_12·b_1_22·b_1_313
+ a_2_5·b_1_13·b_1_35·b_9_116 + a_2_5·b_1_13·b_1_2·b_1_34·b_9_117
+ a_2_5·b_1_13·b_1_22·b_1_312 + a_2_5·b_1_14·b_1_313
+ a_2_5·b_1_15·b_1_33·b_9_117 + a_2_5·b_1_15·b_1_33·b_9_116
+ a_2_5·b_1_15·b_1_312 + a_2_5·b_1_16·b_1_32·b_9_116
+ a_2_5·b_1_16·b_1_2·b_1_3·b_9_117 + a_2_5·b_1_16·b_1_22·b_1_39
+ a_2_5·b_1_17·b_1_3·b_9_117 + a_2_5·b_1_17·b_1_3·b_9_116
+ a_2_5·b_1_17·b_1_2·b_1_39 + a_2_5·b_1_17·b_1_22·b_1_38
+ a_2_5·b_1_18·b_9_117 + a_2_5·b_1_19·b_1_38 + a_2_5·b_1_19·b_1_2·b_1_37
+ a_2_5·b_1_19·b_1_22·b_1_36 + a_2_5·b_1_110·b_1_37
+ a_2_5·b_1_111·b_1_2·b_1_35 + a_2_5·b_1_111·b_1_22·b_1_34
+ a_2_5·b_1_112·b_1_35 + a_2_5·b_1_112·b_1_2·b_1_34
+ a_2_5·b_1_112·b_1_22·b_1_33 + a_2_5·b_1_113·b_1_2·b_1_33
+ a_2_5·b_1_114·b_1_33 + a_2_5·b_1_115·b_1_22 + a_2_5·b_1_03·b_5_45·b_9_117
+ a_2_5·b_2_9·b_1_36·b_9_116 + a_2_5·b_2_9·b_1_2·b_1_314
+ a_2_5·b_2_9·b_1_12·b_1_34·b_9_116 + a_2_5·b_2_9·b_1_13·b_1_33·b_9_116
+ a_2_5·b_2_9·b_1_14·b_1_32·b_9_116 + a_2_5·b_2_9·b_1_15·b_1_3·b_9_116
+ a_2_5·b_2_9·b_1_18·b_1_37 + a_2_5·b_2_9·b_1_19·b_1_36
+ a_2_5·b_2_9·b_1_110·b_1_35 + a_2_5·b_2_9·b_1_111·b_1_34
+ a_2_5·b_2_9·b_1_112·b_1_33 + a_2_5·b_2_9·b_1_113·b_1_32
+ a_2_5·b_2_9·b_1_115 + a_2_5·b_2_9·b_1_0·b_5_45·b_9_117
+ a_2_5·b_2_92·b_1_34·b_9_117 + a_2_5·b_2_92·b_1_04·b_9_117
+ a_2_5·b_2_93·b_1_2·b_1_310 + a_2_5·b_2_93·b_1_02·b_9_117
+ a_2_5·b_2_94·b_9_117 + a_2_5·b_2_94·b_1_04·b_5_45 + a_2_5·b_2_95·b_1_07
+ a_2_5·b_2_96·b_1_05 + a_2_5·b_2_97·b_1_33 + a_2_5·b_2_97·b_1_2·b_1_32
+ a_2_5·b_2_97·b_1_03 + a_2_5·b_2_98·b_1_0 + a_2_5·a_10_121·b_1_37
+ a_2_5·a_10_121·b_1_15·b_1_32 + a_2_5·a_10_121·b_1_16·b_1_3
+ a_2_5·b_2_92·a_10_121·b_1_33 + a_2_52·b_1_36·b_9_116 + a_2_52·b_1_2·b_1_314
+ a_2_52·b_1_22·b_1_313 + a_2_52·b_1_1·b_1_35·b_9_117
+ a_2_52·b_1_1·b_1_35·b_9_116 + a_2_52·b_1_1·b_1_2·b_1_34·b_9_117
+ a_2_52·b_1_1·b_1_22·b_1_312 + a_2_52·b_1_12·b_1_34·b_9_117
+ a_2_52·b_1_12·b_1_313 + a_2_52·b_1_12·b_1_2·b_1_33·b_9_117
+ a_2_52·b_1_12·b_1_2·b_1_312 + a_2_52·b_1_12·b_1_22·b_1_311
+ a_2_52·b_1_13·b_1_33·b_9_117 + a_2_52·b_1_13·b_1_2·b_1_311
+ a_2_52·b_1_14·b_1_32·b_9_116 + a_2_52·b_1_14·b_1_311
+ a_2_52·b_1_14·b_1_2·b_1_3·b_9_117 + a_2_52·b_1_14·b_1_2·b_1_310
+ a_2_52·b_1_15·b_1_3·b_9_117 + a_2_52·b_1_15·b_1_3·b_9_116
+ a_2_52·b_1_15·b_1_310 + a_2_52·b_1_15·b_1_2·b_1_39
+ a_2_52·b_1_16·b_1_39 + a_2_52·b_1_16·b_1_22·b_1_37
+ a_2_52·b_1_17·b_1_38 + a_2_52·b_1_17·b_1_2·b_1_37
+ a_2_52·b_1_18·b_1_22·b_1_35 + a_2_52·b_1_19·b_1_36
+ a_2_52·b_1_19·b_1_2·b_1_35 + a_2_52·b_1_19·b_1_22·b_1_34
+ a_2_52·b_1_110·b_1_35 + a_2_52·b_1_110·b_1_2·b_1_34
+ a_2_52·b_1_110·b_1_22·b_1_33 + a_2_52·b_1_111·b_1_22·b_1_32
+ a_2_52·b_1_112·b_1_33 + a_2_52·b_1_112·b_1_22·b_1_3
+ a_2_52·b_1_113·b_1_2·b_1_3 + a_2_52·b_1_113·b_1_22 + a_2_52·b_1_114·b_1_2
+ a_2_52·b_2_9·b_1_34·b_9_116 + a_2_52·b_2_9·b_1_14·b_9_116
+ a_2_52·b_2_9·b_1_17·b_1_36 + a_2_52·b_2_9·b_1_113 + a_2_52·b_2_96·b_1_33
+ a_2_52·a_10_121·b_1_35 + a_2_52·a_10_121·b_1_12·b_1_33
+ a_2_5·c_16_329·b_1_2 -
b_2_93·b_1_22·b_1_32·b_9_117 + b_2_94·b_1_22·b_9_117 + b_2_96·b_1_22·b_1_35
+ b_2_97·b_1_22·b_1_33 + a_10_121·b_9_118 + a_10_121·b_9_117 + a_10_121·b_9_116
+ a_10_121·b_1_13·b_1_36 + a_10_121·b_1_14·b_1_35 + a_10_121·b_1_15·b_1_34
+ a_10_121·b_1_18·b_1_3 + a_10_121·b_1_19 + b_2_9·a_10_121·b_1_37
+ b_2_92·a_10_121·b_1_35 + b_2_94·a_10_121·b_1_2 + b_2_94·a_10_121·b_1_0
+ a_2_5·b_1_1·b_1_2·b_1_36·b_9_117 + a_2_5·b_1_12·b_1_36·b_9_116
+ a_2_5·b_1_12·b_1_2·b_1_35·b_9_117 + a_2_5·b_1_12·b_1_2·b_1_314
+ a_2_5·b_1_12·b_1_22·b_1_313 + a_2_5·b_1_13·b_1_35·b_9_116
+ a_2_5·b_1_13·b_1_2·b_1_34·b_9_117 + a_2_5·b_1_14·b_1_34·b_9_116
+ a_2_5·b_1_14·b_1_22·b_1_311 + a_2_5·b_1_15·b_1_312
+ a_2_5·b_1_15·b_1_22·b_1_310 + a_2_5·b_1_16·b_1_311
+ a_2_5·b_1_16·b_1_2·b_1_3·b_9_117 + a_2_5·b_1_16·b_1_2·b_1_310
+ a_2_5·b_1_17·b_1_3·b_9_116 + a_2_5·b_1_17·b_1_2·b_9_117
+ a_2_5·b_1_17·b_1_2·b_1_39 + a_2_5·b_1_17·b_1_22·b_1_38
+ a_2_5·b_1_18·b_9_116 + a_2_5·b_1_18·b_1_2·b_1_38 + a_2_5·b_1_19·b_1_38
+ a_2_5·b_1_19·b_1_2·b_1_37 + a_2_5·b_1_110·b_1_37
+ a_2_5·b_1_110·b_1_22·b_1_35 + a_2_5·b_1_111·b_1_22·b_1_34
+ a_2_5·b_1_112·b_1_35 + a_2_5·b_1_112·b_1_2·b_1_34
+ a_2_5·b_1_112·b_1_22·b_1_33 + a_2_5·b_1_113·b_1_2·b_1_33
+ a_2_5·b_1_114·b_1_2·b_1_32 + a_2_5·b_1_114·b_1_22·b_1_3
+ a_2_5·b_1_115·b_1_32 + a_2_5·b_1_115·b_1_2·b_1_3 + a_2_5·b_1_03·b_5_45·b_9_117
+ a_2_5·b_1_012·b_5_45 + a_2_5·b_2_9·b_1_36·b_9_116
+ a_2_5·b_2_9·b_1_12·b_1_34·b_9_116 + a_2_5·b_2_9·b_1_13·b_1_33·b_9_116
+ a_2_5·b_2_9·b_1_14·b_1_32·b_9_116 + a_2_5·b_2_9·b_1_15·b_1_3·b_9_116
+ a_2_5·b_2_9·b_1_16·b_9_116 + a_2_5·b_2_9·b_1_18·b_1_37
+ a_2_5·b_2_9·b_1_110·b_1_35 + a_2_5·b_2_9·b_1_111·b_1_34
+ a_2_5·b_2_9·b_1_113·b_1_32 + a_2_5·b_2_9·b_1_114·b_1_3
+ a_2_5·b_2_9·b_1_0·b_5_45·b_9_117 + a_2_5·b_2_9·b_1_010·b_5_45
+ a_2_5·b_2_92·b_1_04·b_9_117 + a_2_5·b_2_92·b_1_08·b_5_45
+ a_2_5·b_2_93·b_1_32·b_9_117 + a_2_5·b_2_93·b_1_311
+ a_2_5·b_2_93·b_1_2·b_1_310 + a_2_5·b_2_93·b_1_06·b_5_45
+ a_2_5·b_2_94·b_9_118 + a_2_5·b_2_94·b_9_117 + a_2_5·b_2_94·b_1_2·b_1_38
+ a_2_5·b_2_94·b_1_04·b_5_45 + a_2_5·b_2_97·b_1_33
+ a_2_5·b_2_97·b_1_2·b_1_32 + a_2_5·b_2_98·b_1_0 + a_2_5·a_10_121·b_1_37
+ a_2_5·a_10_121·b_1_12·b_1_35 + a_2_5·a_10_121·b_1_14·b_1_33
+ a_2_5·a_10_121·b_1_16·b_1_3 + a_2_5·a_10_121·b_1_17
+ a_2_5·b_2_92·a_10_121·b_1_33 + a_2_5·b_2_93·a_10_121·b_1_3
+ a_2_52·b_1_36·b_9_117 + a_2_52·b_1_22·b_1_313 + a_2_52·b_1_1·b_1_314
+ a_2_52·b_1_1·b_1_2·b_1_34·b_9_117 + a_2_52·b_1_1·b_1_22·b_1_312
+ a_2_52·b_1_12·b_1_34·b_9_116 + a_2_52·b_1_12·b_1_22·b_1_311
+ a_2_52·b_1_13·b_1_33·b_9_117 + a_2_52·b_1_13·b_1_312
+ a_2_52·b_1_13·b_1_2·b_1_311 + a_2_52·b_1_14·b_1_32·b_9_116
+ a_2_52·b_1_14·b_1_2·b_1_3·b_9_117 + a_2_52·b_1_14·b_1_2·b_1_310
+ a_2_52·b_1_14·b_1_22·b_1_39 + a_2_52·b_1_15·b_1_2·b_9_117
+ a_2_52·b_1_15·b_1_22·b_1_38 + a_2_52·b_1_16·b_9_116
+ a_2_52·b_1_17·b_1_2·b_1_37 + a_2_52·b_1_18·b_1_22·b_1_35
+ a_2_52·b_1_19·b_1_36 + a_2_52·b_1_19·b_1_2·b_1_35
+ a_2_52·b_1_110·b_1_35 + a_2_52·b_1_110·b_1_22·b_1_33
+ a_2_52·b_1_112·b_1_33 + a_2_52·b_1_112·b_1_22·b_1_3
+ a_2_52·b_1_113·b_1_32 + a_2_52·b_1_113·b_1_2·b_1_3 + a_2_52·b_1_114·b_1_2
+ a_2_52·b_1_115 + a_2_52·b_2_9·b_1_34·b_9_116
+ a_2_52·b_2_9·b_1_12·b_1_32·b_9_116 + a_2_52·b_2_9·b_1_13·b_1_3·b_9_116
+ a_2_52·b_2_9·b_1_17·b_1_36 + a_2_52·b_2_9·b_1_112·b_1_3
+ a_2_52·b_2_95·b_1_35 + a_2_52·b_2_96·b_1_33
+ a_2_52·a_10_121·b_1_1·b_1_34 + a_2_52·a_10_121·b_1_13·b_1_32
+ a_2_52·a_10_121·b_1_14·b_1_3 + a_2_5·c_16_329·b_1_0 -
b_1_22·b_1_38·b_9_117 + b_1_1·b_1_2·b_1_38·b_9_117 + b_2_9·b_1_1·b_1_37·b_9_116
+ b_2_9·b_1_13·b_1_35·b_9_116 + b_2_9·b_1_16·b_1_32·b_9_116
+ b_2_9·b_1_110·b_1_37 + b_2_9·b_1_113·b_1_34 + b_2_9·b_1_114·b_1_33
+ b_2_93·b_1_22·b_1_32·b_9_117 + b_2_98·b_1_0·b_1_32 + a_10_121·b_9_116
+ a_10_121·b_1_34·b_5_45 + a_10_121·b_1_2·b_1_38 + a_10_121·b_1_13·b_1_36
+ a_10_121·b_1_14·b_1_35 + a_10_121·b_1_15·b_1_34 + a_10_121·b_1_17·b_1_32
+ a_10_121·b_1_18·b_1_3 + b_2_9·a_10_121·b_1_32·b_5_45 + b_2_9·a_10_121·b_1_37
+ b_2_92·a_10_121·b_1_35 + b_2_93·a_10_121·b_1_2·b_1_32
+ b_2_94·a_10_121·b_1_3 + b_2_94·a_10_121·b_1_2 + b_2_94·a_10_121·b_1_0
+ a_2_5·b_1_38·b_9_117 + a_2_5·b_1_38·b_9_116 + a_2_5·b_1_2·b_1_316
+ a_2_5·b_1_22·b_1_315 + a_2_5·b_1_1·b_1_37·b_9_116
+ a_2_5·b_1_1·b_1_2·b_1_36·b_9_117 + a_2_5·b_1_1·b_1_2·b_1_315
+ a_2_5·b_1_12·b_1_36·b_9_116 + a_2_5·b_1_12·b_1_2·b_1_35·b_9_117
+ a_2_5·b_1_13·b_1_22·b_1_312 + a_2_5·b_1_14·b_1_34·b_9_116
+ a_2_5·b_1_15·b_1_33·b_9_116 + a_2_5·b_1_15·b_1_312
+ a_2_5·b_1_15·b_1_22·b_1_310 + a_2_5·b_1_16·b_1_32·b_9_117
+ a_2_5·b_1_16·b_1_311 + a_2_5·b_1_16·b_1_2·b_1_3·b_9_117
+ a_2_5·b_1_16·b_1_2·b_1_310 + a_2_5·b_1_16·b_1_22·b_1_39
+ a_2_5·b_1_17·b_1_3·b_9_117 + a_2_5·b_1_17·b_1_2·b_9_117
+ a_2_5·b_1_17·b_1_2·b_1_39 + a_2_5·b_1_17·b_1_22·b_1_38
+ a_2_5·b_1_18·b_9_116 + a_2_5·b_1_18·b_1_22·b_1_37 + a_2_5·b_1_110·b_1_37
+ a_2_5·b_1_110·b_1_22·b_1_35 + a_2_5·b_1_111·b_1_22·b_1_34
+ a_2_5·b_1_112·b_1_22·b_1_33 + a_2_5·b_1_113·b_1_22·b_1_32
+ a_2_5·b_1_114·b_1_33 + a_2_5·b_1_114·b_1_2·b_1_32 + a_2_5·b_1_115·b_1_22
+ a_2_5·b_2_9·b_1_36·b_9_117 + a_2_5·b_2_9·b_1_315
+ a_2_5·b_2_9·b_1_1·b_1_35·b_9_116 + a_2_5·b_2_9·b_1_14·b_1_32·b_9_116
+ a_2_5·b_2_9·b_1_15·b_1_3·b_9_116 + a_2_5·b_2_9·b_1_111·b_1_34
+ a_2_5·b_2_9·b_1_112·b_1_33 + a_2_5·b_2_9·b_1_0·b_5_45·b_9_117
+ a_2_5·b_2_92·b_1_2·b_1_312 + a_2_5·b_2_93·b_1_2·b_1_310
+ a_2_5·b_2_93·b_1_02·b_9_117 + a_2_5·b_2_94·b_9_118 + a_2_5·b_2_94·b_9_117
+ a_2_5·b_2_94·b_1_04·b_5_45 + a_2_5·b_2_95·b_1_2·b_1_36
+ a_2_5·b_2_95·b_1_02·b_5_45 + a_2_5·b_2_97·b_1_03 + a_2_5·b_2_98·b_1_3
+ a_2_5·b_2_98·b_1_0 + a_2_5·a_10_121·b_1_37 + a_2_5·a_10_121·b_1_12·b_1_35
+ a_2_5·a_10_121·b_1_15·b_1_32 + a_2_5·a_10_121·b_1_16·b_1_3
+ a_2_52·b_1_36·b_9_117 + a_2_52·b_1_36·b_9_116 + a_2_52·b_1_2·b_1_314
+ a_2_52·b_1_22·b_1_313 + a_2_52·b_1_1·b_1_35·b_9_117
+ a_2_52·b_1_1·b_1_35·b_9_116 + a_2_52·b_1_1·b_1_2·b_1_34·b_9_117
+ a_2_52·b_1_1·b_1_2·b_1_313 + a_2_52·b_1_12·b_1_34·b_9_117
+ a_2_52·b_1_12·b_1_34·b_9_116 + a_2_52·b_1_12·b_1_2·b_1_33·b_9_117
+ a_2_52·b_1_12·b_1_22·b_1_311 + a_2_52·b_1_13·b_1_312
+ a_2_52·b_1_13·b_1_2·b_1_311 + a_2_52·b_1_13·b_1_22·b_1_310
+ a_2_52·b_1_14·b_1_32·b_9_116 + a_2_52·b_1_14·b_1_22·b_1_39
+ a_2_52·b_1_15·b_1_3·b_9_116 + a_2_52·b_1_15·b_1_310 + a_2_52·b_1_16·b_9_116
+ a_2_52·b_1_17·b_1_22·b_1_36 + a_2_52·b_1_18·b_1_2·b_1_36
+ a_2_52·b_1_110·b_1_35 + a_2_52·b_1_110·b_1_2·b_1_34
+ a_2_52·b_1_111·b_1_2·b_1_33 + a_2_52·b_1_111·b_1_22·b_1_32
+ a_2_52·b_1_112·b_1_2·b_1_32 + a_2_52·b_1_113·b_1_32
+ a_2_52·b_2_9·b_1_34·b_9_116 + a_2_52·b_2_9·b_1_1·b_1_33·b_9_116
+ a_2_52·b_2_9·b_1_14·b_9_116 + a_2_52·b_2_9·b_1_16·b_1_37
+ a_2_52·b_2_9·b_1_18·b_1_35 + a_2_52·b_2_9·b_1_19·b_1_34
+ a_2_52·b_2_9·b_1_110·b_1_33 + a_2_52·b_2_9·b_1_113
+ a_2_52·b_2_96·b_1_33 + a_2_52·b_2_97·b_1_3 + a_2_52·a_10_121·b_1_35
+ a_2_52·a_10_121·b_1_12·b_1_33 + a_2_52·a_10_121·b_1_13·b_1_32
+ a_2_52·a_10_121·b_1_15 + a_2_5·c_16_329·b_1_1 -
b_2_97·b_1_22·b_1_34 + b_2_98·b_1_22·b_1_32 + a_10_121·b_1_2·b_1_39
+ a_10_121·b_1_1·b_1_39 + b_2_93·a_10_121·b_1_2·b_1_33
+ b_2_94·a_10_121·b_1_2·b_1_3 + a_2_5·b_1_39·b_9_117 + a_2_5·b_1_39·b_9_116
+ a_2_5·b_1_2·b_1_317 + a_2_5·b_1_22·b_1_316 + a_2_5·b_1_1·b_1_2·b_1_316
+ a_2_5·b_1_12·b_1_2·b_1_315 + a_2_5·b_1_12·b_1_22·b_1_314
+ a_2_5·b_1_13·b_1_315 + a_2_5·b_1_13·b_1_2·b_1_314
+ a_2_5·b_1_14·b_1_2·b_1_313 + a_2_5·b_1_14·b_1_22·b_1_312
+ a_2_5·b_1_15·b_1_313 + a_2_5·b_1_16·b_1_312 + a_2_5·b_1_16·b_1_2·b_1_311
+ a_2_5·b_1_16·b_1_22·b_1_310 + a_2_5·b_1_17·b_1_311
+ a_2_5·b_1_17·b_1_2·b_1_310 + a_2_5·b_2_9·b_1_316
+ a_2_5·b_2_9·b_1_19·b_1_37 + a_2_5·b_2_9·b_1_112·b_1_34
+ a_2_5·b_2_9·b_1_114·b_1_32 + a_2_5·b_2_92·b_1_314
+ a_2_5·b_2_93·b_1_33·b_9_117 + a_2_5·b_2_93·b_1_312
+ a_2_5·b_2_94·b_1_3·b_9_117 + a_2_5·b_2_95·b_1_2·b_1_37
+ a_2_5·b_2_96·b_1_3·b_5_45 + a_2_5·b_2_96·b_1_36 + a_2_5·b_2_97·b_1_2·b_1_33
+ a_2_5·b_2_98·b_1_32 + a_2_5·b_2_98·b_1_2·b_1_3 + a_10_1212
+ a_2_5·a_10_121·b_1_38 + a_2_5·a_10_121·b_1_15·b_1_33 + a_2_5·a_10_121·b_1_18
+ a_2_5·b_2_92·a_10_121·b_1_34 + a_2_52·b_1_37·b_9_116
+ a_2_52·b_1_2·b_1_36·b_9_117 + a_2_52·b_1_2·b_1_315 + a_2_52·b_1_22·b_1_314
+ a_2_52·b_1_1·b_1_36·b_9_116 + a_2_52·b_1_1·b_1_315
+ a_2_52·b_1_1·b_1_2·b_1_35·b_9_117 + a_2_52·b_1_1·b_1_2·b_1_314
+ a_2_52·b_1_12·b_1_35·b_9_116 + a_2_52·b_1_12·b_1_314
+ a_2_52·b_1_12·b_1_2·b_1_34·b_9_117 + a_2_52·b_1_13·b_1_34·b_9_116
+ a_2_52·b_1_13·b_1_313 + a_2_52·b_1_13·b_1_2·b_1_33·b_9_117
+ a_2_52·b_1_13·b_1_2·b_1_312 + a_2_52·b_1_13·b_1_22·b_1_311
+ a_2_52·b_1_14·b_1_33·b_9_117 + a_2_52·b_1_14·b_1_33·b_9_116
+ a_2_52·b_1_14·b_1_2·b_1_311 + a_2_52·b_1_14·b_1_22·b_1_310
+ a_2_52·b_1_16·b_1_3·b_9_116 + a_2_52·b_1_16·b_1_310
+ a_2_52·b_1_16·b_1_2·b_9_117 + a_2_52·b_1_16·b_1_22·b_1_38
+ a_2_52·b_1_17·b_1_22·b_1_37 + a_2_52·b_1_18·b_1_38
+ a_2_52·b_1_19·b_1_37 + a_2_52·b_1_19·b_1_2·b_1_36
+ a_2_52·b_1_19·b_1_22·b_1_35 + a_2_52·b_1_110·b_1_36
+ a_2_52·b_1_110·b_1_2·b_1_35 + a_2_52·b_1_110·b_1_22·b_1_34
+ a_2_52·b_1_111·b_1_35 + a_2_52·b_1_111·b_1_22·b_1_33
+ a_2_52·b_1_112·b_1_2·b_1_33 + a_2_52·b_1_113·b_1_33
+ a_2_52·b_1_113·b_1_2·b_1_32 + a_2_52·b_1_113·b_1_22·b_1_3
+ a_2_52·b_1_114·b_1_32 + a_2_52·b_1_114·b_1_2·b_1_3
+ a_2_52·b_1_114·b_1_22 + a_2_52·b_2_9·b_1_35·b_9_116
+ a_2_52·b_2_9·b_1_1·b_1_34·b_9_116 + a_2_52·b_2_9·b_1_12·b_1_33·b_9_116
+ a_2_52·b_2_9·b_1_18·b_1_36 + a_2_52·b_2_9·b_1_19·b_1_35
+ a_2_52·b_2_9·b_1_111·b_1_33 + a_2_52·b_2_9·b_1_112·b_1_32
+ a_2_52·b_2_9·b_1_113·b_1_3 + a_2_52·a_10_121·b_1_1·b_1_35
+ a_2_52·a_10_121·b_1_13·b_1_33 + a_2_52·a_10_121·b_1_15·b_1_3
+ a_2_52·a_10_121·b_1_16 + a_2_52·c_16_329
| About the group | Ring generators | Ring relations | Completion information | Restriction maps | Back to groups of order 128 |
Data used for Benson′s test
- Benson′s completion test succeeded in degree 20.
- The completion test was perfect: It applied in the last degree in which a generator or relation was found.
- The following is a filter regular homogeneous system of parameters:
c_16_329 , a Duflot regular element of degree 16b_1_34 + b_1_12·b_1_32 + b_1_14 + b_1_04 + b_2_9·b_1_32 + b_2_9·b_1_2·b_1_3
+ b_2_9·b_1_22 + b_2_92 , an element of degree 4b_1_12·b_1_34 + b_1_14·b_1_32 + b_2_9·b_1_34 + b_2_9·b_1_22·b_1_32
+ b_2_9·b_1_12·b_1_32 + b_2_9·b_1_14 + b_2_9·b_1_0·b_1_33 + b_2_92·b_1_32
+ b_2_92·b_1_2·b_1_3 + b_2_92·b_1_22 + b_2_92·b_1_1·b_1_3 + b_2_92·b_1_0·b_1_3
+ b_2_92·b_1_02 , an element of degree 6
- The Raw Filter Degree Type of that HSOP is [-1, -1, 15, 23].
- The filter degree type of any filter regular HSOP is [-1, -2, -3, -3].
- We found that there exists some filter regular HSOP formed by the first term of the above HSOP, together with 2 elements of degree 2.
| About the group | Ring generators | Ring relations | Completion information | Restriction maps | Back to groups of order 128 |
Restriction maps
Restriction map to the greatest central el. ab. subgp., which is of rank 1
-
b_1_0 →0 , an element of degree 1 -
b_1_1 →0 , an element of degree 1 -
b_1_2 →0 , an element of degree 1 -
b_1_3 →0 , an element of degree 1 -
a_2_5 →0 , an element of degree 2 -
b_2_9 →0 , an element of degree 2 -
b_5_45 →0 , an element of degree 5 -
b_9_116 →0 , an element of degree 9 -
b_9_117 →0 , an element of degree 9 -
b_9_118 →0 , an element of degree 9 -
a_10_121 →0 , an element of degree 10 -
c_16_329 →c_1_016 , an element of degree 16
Restriction map to a maximal el. ab. subgp. of rank 3
-
b_1_0 →c_1_1 , an element of degree 1 -
b_1_1 →0 , an element of degree 1 -
b_1_2 →0 , an element of degree 1 -
b_1_3 →0 , an element of degree 1 -
a_2_5 →0 , an element of degree 2 -
b_2_9 →c_1_22 + c_1_1·c_1_2 , an element of degree 2 -
b_5_45 →c_1_02·c_1_13 + c_1_04·c_1_1 , an element of degree 5 -
b_9_116 →c_1_02·c_1_15·c_1_22 + c_1_02·c_1_16·c_1_2 + c_1_04·c_1_13·c_1_22
+ c_1_04·c_1_14·c_1_2 , an element of degree 9 -
b_9_117 →c_1_1·c_1_28 + c_1_13·c_1_26 + c_1_14·c_1_25 + c_1_16·c_1_23
+ c_1_02·c_1_13·c_1_24 + c_1_02·c_1_15·c_1_22 + c_1_02·c_1_17
+ c_1_04·c_1_1·c_1_24 + c_1_04·c_1_13·c_1_22 + c_1_08·c_1_1 , an element of degree 9 -
b_9_118 →c_1_1·c_1_28 + c_1_15·c_1_24 + c_1_02·c_1_13·c_1_24
+ c_1_02·c_1_15·c_1_22 + c_1_02·c_1_17 + c_1_04·c_1_1·c_1_24
+ c_1_04·c_1_13·c_1_22 + c_1_04·c_1_15 , an element of degree 9 -
a_10_121 →0 , an element of degree 10 -
c_16_329 →c_1_12·c_1_214 + c_1_13·c_1_213 + c_1_15·c_1_211 + c_1_17·c_1_29
+ c_1_19·c_1_27 + c_1_110·c_1_26 + c_1_02·c_1_112·c_1_22
+ c_1_02·c_1_113·c_1_2 + c_1_02·c_1_114 + c_1_04·c_1_14·c_1_28
+ c_1_04·c_1_16·c_1_26 + c_1_04·c_1_17·c_1_25 + c_1_04·c_1_18·c_1_24
+ c_1_04·c_1_19·c_1_23 + c_1_04·c_1_111·c_1_2 + c_1_08·c_1_28
+ c_1_08·c_1_12·c_1_26 + c_1_08·c_1_13·c_1_25 + c_1_08·c_1_14·c_1_24
+ c_1_08·c_1_15·c_1_23 + c_1_08·c_1_16·c_1_22 + c_1_016 , an element of degree 16
Restriction map to a maximal el. ab. subgp. of rank 3
-
b_1_0 →0 , an element of degree 1 -
b_1_1 →c_1_1 , an element of degree 1 -
b_1_2 →0 , an element of degree 1 -
b_1_3 →c_1_2 , an element of degree 1 -
a_2_5 →0 , an element of degree 2 -
b_2_9 →0 , an element of degree 2 -
b_5_45 →0 , an element of degree 5 -
b_9_116 →c_1_04·c_1_15 + c_1_08·c_1_1 , an element of degree 9 -
b_9_117 →0 , an element of degree 9 -
b_9_118 →c_1_04·c_1_15 + c_1_08·c_1_1 , an element of degree 9 -
a_10_121 →0 , an element of degree 10 -
c_16_329 →c_1_04·c_1_14·c_1_28 + c_1_04·c_1_15·c_1_27 + c_1_04·c_1_16·c_1_26
+ c_1_04·c_1_17·c_1_25 + c_1_04·c_1_18·c_1_24 + c_1_04·c_1_111·c_1_2
+ c_1_04·c_1_112 + c_1_08·c_1_28 + c_1_08·c_1_1·c_1_27
+ c_1_08·c_1_12·c_1_26 + c_1_08·c_1_13·c_1_25 + c_1_08·c_1_14·c_1_24
+ c_1_08·c_1_17·c_1_2 + c_1_016 , an element of degree 16
Restriction map to a maximal el. ab. subgp. of rank 3
-
b_1_0 →0 , an element of degree 1 -
b_1_1 →0 , an element of degree 1 -
b_1_2 →0 , an element of degree 1 -
b_1_3 →c_1_1 , an element of degree 1 -
a_2_5 →0 , an element of degree 2 -
b_2_9 →c_1_22 , an element of degree 2 -
b_5_45 →c_1_1·c_1_24 + c_1_13·c_1_22 , an element of degree 5 -
b_9_116 →c_1_1·c_1_28 + c_1_13·c_1_26 + c_1_15·c_1_24 , an element of degree 9 -
b_9_117 →c_1_14·c_1_25 + c_1_15·c_1_24 + c_1_17·c_1_22 + c_1_18·c_1_2 , an element of degree 9 -
b_9_118 →c_1_1·c_1_28 + c_1_13·c_1_26 + c_1_14·c_1_25 + c_1_15·c_1_24 + c_1_18·c_1_2 , an element of degree 9 -
a_10_121 →0 , an element of degree 10 -
c_16_329 →c_1_12·c_1_214 + c_1_16·c_1_210 + c_1_110·c_1_26 + c_1_114·c_1_22
+ c_1_04·c_1_14·c_1_28 + c_1_04·c_1_18·c_1_24 + c_1_08·c_1_28
+ c_1_08·c_1_14·c_1_24 + c_1_08·c_1_18 + c_1_016 , an element of degree 16
Restriction map to a maximal el. ab. subgp. of rank 3
-
b_1_0 →0 , an element of degree 1 -
b_1_1 →c_1_2 , an element of degree 1 -
b_1_2 →c_1_2 , an element of degree 1 -
b_1_3 →c_1_1 , an element of degree 1 -
a_2_5 →0 , an element of degree 2 -
b_2_9 →0 , an element of degree 2 -
b_5_45 →c_1_1·c_1_24 + c_1_13·c_1_22 , an element of degree 5 -
b_9_116 →c_1_1·c_1_28 + c_1_12·c_1_27 + c_1_13·c_1_26 + c_1_15·c_1_24
+ c_1_17·c_1_22 + c_1_18·c_1_2 + c_1_04·c_1_25 + c_1_08·c_1_2 , an element of degree 9 -
b_9_117 →c_1_1·c_1_28 + c_1_12·c_1_27 + c_1_13·c_1_26 + c_1_15·c_1_24
+ c_1_17·c_1_22 + c_1_04·c_1_25 + c_1_08·c_1_2 , an element of degree 9 -
b_9_118 →c_1_29 + c_1_1·c_1_28 + c_1_14·c_1_25 + c_1_15·c_1_24 + c_1_16·c_1_23
+ c_1_18·c_1_2 , an element of degree 9 -
a_10_121 →0 , an element of degree 10 -
c_16_329 →c_1_216 + c_1_13·c_1_213 + c_1_16·c_1_210 + c_1_17·c_1_29 + c_1_111·c_1_25
+ c_1_112·c_1_24 + c_1_113·c_1_23 + c_1_114·c_1_22 + c_1_115·c_1_2
+ c_1_04·c_1_1·c_1_211 + c_1_04·c_1_17·c_1_25 + c_1_04·c_1_18·c_1_24
+ c_1_08·c_1_28 + c_1_08·c_1_1·c_1_27 + c_1_08·c_1_17·c_1_2 + c_1_08·c_1_18
+ c_1_016 , an element of degree 16
| About the group | Ring generators | Ring relations | Completion information | Restriction maps | Back to groups of order 128 |
| Simon A. King | David J. Green | ||||||||||||||||
| Fakultät für Mathematik und Informatik | Fakultät für Mathematik und Informatik | ||||||||||||||||
| Friedrich-Schiller-Universität Jena | Friedrich-Schiller-Universität Jena | ||||||||||||||||
| Ernst-Abbe-Platz 2 | Ernst-Abbe-Platz 2 | ||||||||||||||||
| D-07743 Jena | D-07743 Jena | ||||||||||||||||
| Germany | Germany | ||||||||||||||||
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