What is $\pi_{31}(S^2)$, the 31st homotopy group of the 2 - sphere ?

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This question has a physics motivation:

1) There are relations between (2nd and 3rd) Hopf fibrations and (2- and 3-) qbits (quantum bits) entanglement, see this [reference](http://arxiv.org/pdf/0904.4925v1.pdf)

2) Maybe there are relations between classification of qbits entanglements and sphere homotopy groups, and  we are interested in the classification of 4-qbits entanglements.
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I tried fo find the solution on the net, with help of math [fans](https://math.stackexchange.com/questions/392293/what-is-pi-31s2/392360#392360), but without success.

[Wikipedia](http://en.wikipedia.org/wiki/Homotopy_groups_of_spheres) gives only to the 22nd group homotopy of the 2-sphere

This article of [John Baez](http://math.ucr.edu/home/baez/week264.html) gives interesting references, like [Allen Hatcher, Stable homotopy groups of spheres](http://www.math.cornell.edu/~hatcher/stemfigs/stems.html)  or a link with [braids](http://www.math.nus.edu.sg/~matwujie/BCWWfinal.pdf). One speak of a book of Kochman Stanley O. : Stable Homotopy Groups of Spheres A Computer-Assisted Approach
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But I am totally unable to find the answer.

A subsidiary question would be : Until what rank do we know these high homotopy group of the 2-sphere ?