Zum maximalen Ideal
(
x
,
y
,
z
,
w
)
{\displaystyle {}(x,y,z,w)}
x
4
+
y
4
+
z
4
+
w
4
=
0
{\displaystyle {}x^{4}+y^{4}+z^{4}+w^{4}=0}
H
2
{\displaystyle {}H^{2}}
18
,
6666
{\displaystyle {}18,6666}
q
∑
h
2
(
S
q
(
S
y
z
2
)
(
m
)
)
{\displaystyle {}\sum h^{2}(S^{q}(Syz_{2})(m))}
durch Rang
durch Rang
q
3
{\displaystyle {}q^{3}}
∑
h
2
(
F
e
(
S
y
z
2
)
(
m
)
)
{\displaystyle {}\sum h^{2}(F^{e}(Syz_{2})(m))}
durch
4
{\displaystyle {}4}
durch
q
3
{\displaystyle {}q^{3}}
1
141
35,25
35,25
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
2
1961
196,1
24,5125
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
3
11841
592,05
21,9277
2437
609,25
22,5648
4
46610
1331,7142
20,8080
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
5
141147 (in
Z
/
(
7
)
{\displaystyle {}\mathbb {Z} /(7)}
2520,4821
20,1638
10383
2595,75
20,766
6
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
7
27591
6897,75
20,1100
8
9
10
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
11
104073
26018,25
19,5478
12
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
13
170515
42628,75
19,4031
14
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
15
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
16
17
377749
94437,25
19,2219
18
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
19
525709
131427,25
19,1612
20
−
{\displaystyle {}-}
−
{\displaystyle {}-}
−
{\displaystyle {}-}
