Object dictionary
Closed 3-manifolds, knots and links held in the atlas.
No entries in this area.
| Object | Area | Vertices | Gauss code | π₁ | H₁ | Values | |
|---|---|---|---|---|---|---|---|
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S³sphere | Area 3 | 1 | [[[-1,1]],[+]] | ⟨ 2 | 2 ⟩ | 0 | 2/5 |
 |
L(2,1)lens space | Area 3 | 2 | [[[-1,-2,2,1]],[+,+]] | ⟨ 4 | 4 ⟩ | ℤ/2ℤ | 2/5 |
 |
L(3,1)lens space | Area 3 | 3 | [[[1,-2,3,-4,5,-5,4,-3,2,-1]],[+,0,+,0,+]] | — | ℤ/3ℤ | 1/5 |
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L(3,2)lens space | Area 3 | 3 | [[[-3,-1,-2,1,2,3]],[+,+,+]] | — | ℤ/3ℤ | 1/5 |
 |
S² × S¹product | Area 3 | 4 | [[[-1,-2,3,4,-4,-3,2,1]],[+,+,+,+]] | ⟨ 8 | 8 ⟩ | ℤ | 2/5 |
 |
Poincaréhomology sphere | Area 3 | 5 | [[[4,-5,3,-4,2,-3,1,-2,5,-1]],[+,+,+,+,+]] | — | 0 | 1/5 |
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Unknottrivial | Area 2 | — | — | — | — | 0/2 |
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Trefoiltorus knot | Area 2 | — | — | — | — | 0/2 |
 |
Hopf link2-component link | Area 2 | — | — | — | — | 0/2 |
 |
Borromean rings3-component link | Area 2 | — | — | — | — | 0/2 |
 |
Whitehead link2-component link | Area 2 | — | — | — | — | 0/2 |
No entriesNo entries in this area. | |||||||