Based on regularities in rotational splittings , we seek possible multiplets for the observed frequencies of CoRoT 102749568 .
Twenty-one sets of multiplets are identified , including four sets of multiplets with l = 1 , nine sets of multiplets with l = 2 , and eight sets of multiplets with l = 3 .
In particular , there are three complete triplets ( f _ { 10 } , f _ { 12 } , f _ { 14 } ) , ( f _ { 31 } , f _ { 34 } , f _ { 35 } ) , and ( f _ { 41 } , f _ { 43 } , f _ { 44 } ) .
The rotational period of CoRoT 102749568 is estimated to be 1.34 ^ { +0.04 } _ { -0.05 } days .
When doing model fittings , three l = 1 modes ( f _ { 12 } , f _ { 34 } , and f _ { 43 } ) and the radial first overtone f _ { 13 } are used .
Our results shows that the three nonradial modes ( f _ { 12 } , f _ { 34 } , and f _ { 43 } ) are mixed modes , which mainly provide constraints on the helium core .
The radial first overtone f _ { 13 } mainly provides constraint on the stellar envelope .
Hence the size of the helium core of CoRoT 102749568 is determined to be M _ { He } = 0.148 \pm 0.003 M _ { \odot } and R _ { He } = 0.0581 \pm 0.0007 R _ { \odot } .
The fundamental parameters of CoRoT 102749568 are determined to be M = 1.54 \pm 0.03 M _ { \odot } , Z = 0.006 , f _ { ov } = 0.004 \pm 0.002 , \log g = 3.696 \pm 0.003 , T _ { eff } = 6886 \pm 70 K , R = 2.916 \pm 0.039 R _ { \odot } , and L = 17.12 \pm 1.13 L _ { \odot } .