crystal, 40 bytes

Result

WA

Code [DL]

loop{p gets&&($_.to_i(2)*8+1)**0.5%2==1}

stdin

01000010
00110111
11110001
11001110
10101011
11101110
00111001
11100011
11111101
01001111
00000110
01001110
00001111
10001000
00000110
01110110
10001011
00011100
01101001
10111000
10101100
00101101
01011011
00010101
01000010
10011001
01011101
11111001
10111110
00000000
10111011
11100110
00000111
01100011
11110011
00110101
00101000
11010010
00000001
01010011
01101010
00001010
10001100
01000001
11100111
01111000
00100100
01101111
00000011
00100101

stdout

Syntax error in /volume/CODE:1: $global_variables are not supported, use @@class_variables instead

loop{p gets&&($_.to_i(2)*8+1)**0.5%2==1}
                ^

stderr

strace