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Euclid is a surveying mission that is progressively imaging and spectroscopically mapping a wide area of extragalactic sky in visible and near infrared bands. The Euclid mission is, however, not restricted to the Euclid Wide Survey, but it includes data from various other survey components. This paper presents the Data Release 1 (DR1) status of the multiple Euclid surveys and fields, including the Euclid Deep Survey, Euclid Auxiliary Fields, calibration fields, the Euclid Medium-Deep Survey, the Euclid Ecliptic Survey, and the Independent Legacy Scientists' field, in addition to the Euclid Wide Survey. Some of these fields were observed during the initial Performance-Verification phase, others during the Phase-Diversity calibration campaign, and the majority during the subsequent science operations phase. This paper describes the different procedures of survey implementation applied in the various phases of the mission, from the set of requirements, constraints, and limitations, to the final operational products used to operate the spacecraft and execute the science surveys. The resulting main component of the Euclid surveys, the Euclid Wide Survey, covers at DR1 an area of 2100\, deg², in two separate regions, of which 1900\, deg² corresponds to data validated in higher-level processing.
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