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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Try https://arxiv.org/abs/1405.3405 and more generally https://arxiv.org/abs/math/0508428, which treats S6 as an example in at least one place.
Urs, there’s a recent MO thread where Robert Bryant expresses severe criticism on Atiyah’s May 2018 revision.
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