Context : The presence of stellar p - and g -modes allows us to test stellar structure models in great detail from the core to the envelope .
As the driving mechanisms are not yet fully understood , the first important step is to provide clear evidence of these pulsation modes .

Aims : Recent space missions have confirmed that the \gamma Doradus and the \delta Scuti observational instability strips overlap and consequently that many stars may be hybrids .
CoRoT ID 105733033 is an excellent example of these hybrid pulsators as it shows g - and p -modes with almost similar amplitudes in two clearly distinct frequency domains .
We present a detailed frequency analysis of the CoRoT star ID 105733033 , which is obtained with a classical Fourier analysis .

Methods : After removing residual instrumental effects from the CoRoT light curve of N2 level , frequencies with an amplitude as small as 0.1 mmag were determined with Period04 and SigSpec up to 50 d ^ { -1 } , although if deemed necessary lower amplitudes and higher frequencies were also investigated .
The frequency spectrum of CoRoT ID 105733033 clearly consists of two distinct ranges , which are typical of \gamma Doradus and \delta Scuti pulsation .
Focus was placed on the identification of linear combinations and frequencies due to the coupling between \gamma Doradus and \delta Scuti modes .

Results : We detect 198 \gamma Doradus type frequencies in the range [ 0.25 ; 4 ] d ^ { -1 } , of which 180 are not combination frequencies , and 24 of them are separated by a constant period-interval \Delta P = 0.03074 d. According to the asymptotic theory , these 24 frequencies correspond to a series of g -modes of the same \ell -degree and different radial orders n .
We also detect 246 \delta Scuti type frequencies in the range [ 10.1 ; 63.4 ] d ^ { -1 } .
The dominant frequency F = 12.6759 d ^ { -1 } was identified as the fundamental radial mode .
Our most noteworthy result is that all the main \gamma Doradus frequencies f _ { i } are also detected in the \delta Scuti domain as F \pm f _ { i } with four times smaller amplitudes .
Once these frequencies were removed , only 59 can be considered as individual \delta Scuti frequencies .

Conclusions : A coupling between g - and p -modes is proposed to be a tool for detecting g -modes in the Sun , but this coupling has never yet been observed .
Our present study may be valuable input to theoretical studies , addressing the mutual influence of g - and p -mode cavities and the deviation from classical theory .
Furthermore , we identify a sequence of g -modes belonging to the same \ell but with consecutive orders n .