Stephans Quintet (SQ), the prototypical compact group of galaxies in the local Universe, has been observed with the imaging Fourier transform spectrometer SITELLE, attached to the CFHT, to perform a deep search for intergalactic star-forming emission. We present the extended ionised gaseous structures detected and analyse their kinematical properties. The large field of view (11x11) and the spectral ranges of SITELLE have allowed a thorough study of the entire galaxy system, its interaction history and the main properties of the ionised gas. The observations have revealed complex 3D strands in SQ seen for the first time, as well as the spatially resolved velocity field for a new SQ dwarf galaxy (M82-like) and the detailed spectral map of NGC7320c, confirming its AGN nature. A total of 175 SQ H$alpha$ emission regions have been found, 22 of which present line profiles with at least two kinematical components. We studied 12 zones and 28 sub-zones in the SQ system to define plausible physical spatial connections between its different parts in the light of the kinematical information gathered. In this respect we have found 5 velocity systems in SQ: i) v=[5600-5900] $km,s^{-1}$; ii) v=[5900-6100] $km,s^{-1}$; iii) v=[6100-6600] $km,s^{-1}$; iv) v=[6600-6800] $km,s^{-1}$; and v) v=[6800-7000] $km,s^{-1}$. No gas emission is detected in the old tail, neither near NGC7318A nor in NGC7317, and the connection between NGC7319 north lobe and starburst A cannot be confirmed. Conversely, a clear gaseous bridge has been confirmed both spatially and kinematically between the large-scale shock region and the NGC7319 AGN. Finally, a larger scale, outer rim winding the NGC7318B/A system clockwise north-west to south-east has been highlighted in continuum and in H$alpha$. This structure may be reminiscent of a sequence of a previously proposed scenario for SQ a sequence of individual interactions.
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