In a three-point cross, individuals AAbbcc and aaBBCC are crossed, and their F1 progeny is testcrossed. Answer the following questions based on these F2 frequency data.

aaBbCc 480
AaBbcc 15
AaBbCc 10
aaBbcc 1
aabbCc 13
Aabbcc 472
AabbCc 1
aabbcc 8
Calculate recombination frequencies and produce a genetic map.