We present the first census of the interstellar Complex Organic Molecules ( iCOMs ) in the low-mass Class I protostar SVS13-A , obtained by analysing data from the IRAM-30m Large Project ASAI ( Astrochemical Surveys At IRAM ) . They consist of an high-sensitivity unbiased spectral survey at the 1mm , 2mm and 3mm IRAM bands . We detected five iCOMs : acetaldehyde ( CH _ { 3 } CHO ) , methyl formate ( HCOOCH _ { 3 } ) , dimethyl ether ( CH _ { 3 } OCH _ { 3 } ) , ethanol ( CH _ { 3 } CH _ { 2 } OH ) and formamide ( NH _ { 2 } CHO ) . In addition we searched for other iCOMs and ketene ( H _ { 2 } CCO ) , formic acid ( HCOOH ) and methoxy ( CH _ { 3 } O ) , whose only ketene was detected . The numerous detected lines , from 5 to 37 depending on the species , cover a large upper level energy range , between 15 and 254 K. This allowed us to carry out a rotational diagram analysis and derive rotational temperatures between 35 and 110 K , and column densities between 3 \times 10 ^ { 15 } and 1 \times 10 ^ { 17 } cm ^ { -2 } on the 0 \aas@@fstack { \prime \prime } 3 size previously determined by interferometric observations of glycolaldehyde . These new observations clearly demonstrate the presence of a rich chemistry in the hot corino towards SVS13-A . The measured iCOMs abundances were compared to other Class 0 and I hot corinos , as well as comets , previously published in the literature . We find evidence that ( i ) SVS13-A is as chemically rich as younger Class 0 protostars , and ( ii ) the iCOMs relative abundances do not substantially evolve during the protostellar phase .