Abstract
Let F be a formally real field. Connections between the invariants I(F), N(F), ud(F), ũd(F), β F(i) (i ϵ [1, l(F) - 1]) are studied, using a new invariant C( F). The possibilities for β F are described when l(F) ≤ 5 or ud(F) ≤ 4, without considering existence.
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