i1 : depthZeroTable
2 2 2 2
o1 = HashTable{7 => ideal (x + y , z + u , x*z + y*u) }
2 2 2 2
11 => ideal (x , y , z , u )
2 2 2 2
12 => ideal (x + x*y, y + x*u, z + x*u, z*u + u )
2 2 2 2
13 => ideal (x + z + u , y , x*z, y*u + z*u)
2 2 2
14 => ideal (x*z, y , z + u , y*u + z*u)
2 2
15 => ideal (x*z, y , y*z + u , y*u + z*u)
2 2
16 => ideal (x*y + z + y*u, y , y*u + z*u, x*z)
2
17 => ideal (x*z, y*z + x*u, y , y*u + z*u)
2 2 2
18 => ideal (x , y , z , y*u)
2 2
19 => ideal (x*z, y , y*u + z*u, u )
2 2
20 => ideal (x*z, y , z + y*u, y*u + z*u)
2 2
21 => ideal (x*z, y , z , y*u + z*u)
2 2
22 => ideal (x + x*y, x*u, x*z + y*u, y )
2 2
24 => ideal (x*z, y , y*z + z , y*u + z*u)
2 2
25 => ideal (x , x*y, x*z, u )
2
28 => ideal (x , x*y, x*z, x*u)
2 2 2 2
29 => ideal (x + x*y, y + x*u, z + x*u, z*u + u , y*z)
2 2 2 2 2
30 => ideal (x*y + u , x*z, x + z + u , y , y*u + z*u)
2 2 2 2 2 2 2
31 => ideal (x - y , y - z , z - u , x*z + y*u, - x + x*y - y*z + x*u)
2 2 2 2
32 => ideal (x + z , x*z, y , y*u + z*u, u )
2 2 2 2 2
33 => ideal (x + x*y, y + y*z, y + x*u, z + x*u, z*u + u )
2 2 2 2 2 2
34 => ideal (x + x*y + y*u + u , y , x*z, x + z + u , y*u + z*u)
2 2 2 2
35 => ideal (x + z + u , y , x*z, x*y + y*z + y*u, y*u + z*u)
2 2 2 2
36 => ideal (x + y , z , u , y*z - y*u, x*z + z*u)
2 2
37 => ideal (x , y , x*y - z*u, y*z - x*u, x*z - y*z - x*u + y*u)
2 2 2 2
38 => ideal (x , y , z , z*u, u )
2 2 2
39 => ideal (x + y*z + u , x*z + z + y*u, x*y, x*u, z*u)
2 2 2 2 2 2
40 => ideal (x - x*u, - y + x*u, y - z , z - u , x*z + y*u)
2 2 2
41 => ideal (x*y, y , z , z*u, u )
2 2
42 => ideal (x + x*y, z*u, y , x*u, x*z + y*u)
2 2 2
43 => ideal (x , y , y*z, z*u, u )
2 2 2
44 => ideal (x*z, y*z, y , y*u + z*u, z + u )
2 2
45 => ideal (x*y + y*z, x*y + z + y*u, y*u + z*u, y , x*z)
2 2
46 => ideal (x , x*y, y*z, z*u, u )
2 2 2
47 => ideal (x + x*y, y , x*u, x*z + y*u, - x + x*z - y*z)
2 2
48 => ideal (x*y, z + y*u, y*u + z*u, y , x*z)
2 2
49 => ideal (x*z, y , z , y*u, z*u)
2
51 => ideal (x*y, x*z, y*z + x*u, z , z*u)
2 2 2
53 => ideal (y - u , x*z, y*z, z , z*u)
2 2 2 2
54 => ideal (x , x*z, y , z , y*u + z*u, u )
2 2 2 2
55 => ideal (x + x*y, x*z + y*u, x*u, y , z , z*u + u )
2 2 2 2 2
56 => ideal (x + x*z + u , x*y, x*u, x - y , z , z*u)
2 2 2 2 2 2
57 => ideal (x + y*z + u , x*u, x + x*y, x*z + y*u, z*u + u , y + z )
2 2 2 2
58 => ideal (x + x*y, x + z*u, y , z , x*z + y*u, x*u)
2 2 2
59 => ideal (x - y , x*y, x*u, z , z*u, x*z + y*u)
2 2 2
60 => ideal (x + y*z + u , x*z + y*u, z*u, x*y, z , x*u)
2 2 2 2
61 => ideal (x - y , x*y, z , x*u, z*u, u )
2 2 2
62 => ideal (x - y , x*y, x*u, y*z + y*u, z , z*u)
2 2 2
63 => ideal (x , x*y, x*u, y , z , z*u)
2 2 2
64 => ideal (x - y , x*y, z , x*u, y*u, z*u)
2 2 2
65 => ideal (x , x*y, x*z, y , z + y*u, y*u + z*u)
2 2 2
66 => ideal (x*z, y , y*u, z , z*u, u )
2 2
67 => ideal (x*y, x*z, y , y*u, z , z*u)
2 2
69 => ideal (x , x*z, x*u, x*y - z*u, y*z, z )
2 2 2
70 => ideal (x , x*y, x z*u, y , y*z)
2 2 2 2
71 => ideal (x , y , z , u , x*y, z*u, y*z + x*u)
2 2 2
72 => ideal (x - y , x*y, y*z, z*u, z , x*z + y*u, x*u)
2 2 2 2
73 => ideal (x , y , z , u , z*u, y*u, x*u)
2 2 2
74 => ideal (x , x*y + z , y*z, x*u, y*u, z*u, u )
2 2 2
75 => ideal (x , x*y, x*z, x*u, y , y*z, u )
2 2
76 => ideal (x , x*y, x*z, x*u, z , z*u, y*u)
2 2
77 => ideal (x , x*y, x*z, x*u, y , y*z, y*u)
2 2 2 2
78 => ideal (x , x*y, y , z , z*u, u , x*z + y*u, y*z - x*u)
2 2 2
79 => ideal (x , x*y, x*z, x*u, y , y*u, z , z*u)
2 2 2
80 => ideal (x , x*y, x*z, y , y*z, y*u, z , z*u)
2 2 2 2
81 => ideal (x , y , z , u , x*y, x*z, y*z - x*u, y*u, z*u)
2 2 2
82 => ideal (x , x*y, x*z, x*u, y , z*u, u , y*z, y*u)
2 2 2 2
83 => ideal (x , y , z , u , x*y, x*z, x*u, y*z, y*u, z*u)
o1 : HashTable
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