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PGL2(????ℓ) number fields with rational companion forms

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We give a list of PGL2(????l) number fields for l ≥ 11 which have rational companion forms. Our list has 53 fields and seems likely to be complete. Some of… Click to show full abstract

We give a list of PGL2(????l) number fields for l ≥ 11 which have rational companion forms. Our list has 53 fields and seems likely to be complete. Some of the fields on our list are very lightly ramified for their Galois group.

Keywords: pgl2 number; number fields; fields rational; number; rational companion; companion forms

Journal Title: International Journal of Number Theory
Year Published: 2017

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