A Nançay Radio Telescope study of the hyperactive repeating FRB 20220912A

The repeating fast radio burst source FRB 20220912A was remarkably active in the weeks after its discovery. Here, we report 696 bursts detected with the Nan & ccedil;ay Radio Telescope (NRT) as part of the Extragalactic Coherent Light from Astrophysical Transients (& Eacute;CLAT) monitoring campaign. We present 68 observations, conducted from 2022 October to 2023 April, with a total duration of 61 h and an event rate peaking at 75(-9)(+10) bursts per hour above a fluence threshold of 0.59 Jy ms in the 1.2-1.7 GHz band. Most bursts in the sample occur towards the bottom of the observing band. They follow a bimodal wait-time distribution, with peaks at 33.4 ms and 67.0 s. We find a roughly constant dispersion measure (DM) over time (delta DM less than or similar to 2 pc cm(-3)) when taking into account 'sad-trombone' drift, with a mean drift rate of -8.8 MHz ms(-1). None the less, we confirm small similar to 0.3 pc cm(-3) DM variations using microshot structure, while finding that microstructure is rare in our sample-despite the 16 mu s time resolution of the data. The cumulative spectral energy distribution shows more high-energy bursts (E-nu greater than or similar to 10(31) erg Hz(-1)) than would be expected from a simple power-law distribution. The burst rate per observation appears Poissonian, but the full set of observations is better modelled by a Weibull distribution, showing clustering. We discuss the various observational similarities that FRB 20220912A shares with other (hyper)active repeaters, which as a group are beginning to show a common set of phenomenological traits that provide multiple useful dimensions for their quantitative comparison and modelling.