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This article is part of a collection that strives to collect and provide inan unified form data about all the critical points on the scalar manifold ofSO(8)-gauged N=8 supergravity in four dimensions known so far. The vastmajority of these were obtained using the enhanced sensitivity backpropagationmethod introduced by the author in 2008.  This part of the collection describes 41 critical points, 7 of which havebeen known for more than two decades, 8 of which were discovered recently, and26 are novel. The residual gauge symmetries of these 41 critical points(likely) are SO(8) with N=8 SUSY (1x), SO(7) (2x), SU(4) (1x), G2 with N=1 SUSY(1x), SU(3)xU(1) with N=2 SUSY (1x), SO(3)xSO(3) (2x), SO(3)xU(1)xU(1) (1x),SO(3)xU(1) (3x), SO(3) (3x), U(1)xU(1) with N=1 SUSY (1x), U(1)xU(1) withoutSUSY (4x), U(1) (11x), and None (10x). Analytic conjectures (not yet proven butoverwhelmingly likely correct) are given for the locations and cosmologicalconstants of some critical points.

The Encyclopedic Reference of Critical Points for SO(8)-Gauged N=8  Supergravity Part 1: Cosmological Constants in the Range -\Lambda/g^2 \in  [6;14.7)