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  "body": "\n## Example\n\nTake the complement of the [[Whitehead link|TPGBASPKE0]] in $S^3$.\nThe Weeks manifold $W$ is the closed orientable $3$-manifold obtained from it by [[Dehn filling|ZA405B0Z1S]] with coefficients $(5, 1)$ and $(5, 2)$ on the two components.\nIt is a closed [[hyperbolic 3-manifold|GHVW1Z35BS]].\nIts hyperbolic volume is approximately $0.9427$.\nIts first homology group is $H_1(W; \\Z) \\cong \\Z/5 \\oplus \\Z/5$.\n\nThe hyperbolic structure can be checked by computer, for example with the program SnapPea of Jeffrey Weeks.\n\n## Remarks\n\nGabai, Meyerhoff and Milley proved in 2009 that $W$ has the smallest volume among all closed orientable hyperbolic $3$-manifolds.\nBy Mostow rigidity, its volume is a topological invariant, so this is a statement about topology.\n\n## Explanations\n\n### L1 human\n\nThe Weeks manifold is the smallest closed orientable hyperbolic $3$-dimensional space, measured by volume.\nIt is made by closing up the two tube-shaped ends of the complement of a simple link in two particular ways.\nIts volume, about $0.94$, is a lower bound for the volume of every other closed orientable hyperbolic $3$-manifold.\n",
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