Table 3: Stock 2 luminosity function calculations.

Mean magnitude  Density (LF) 𝜙 ( 𝑀 𝑉 ) l o g 𝜙 ( 𝑀 𝑉 )

−2.257 1 . 3 3 1 × 1 0 1 1 −10.876
−0.5417 2 . 6 8 4 × 1 0 9 −8.571
1.176 6 . 0 9 7 6 × 1 0 9 −8.215
2.892 5 . 1 2 1 × 1 0 9 −8.291
4.608 1 . 1 0 9 5 × 1 0 8 −7.955
6.325 1 . 1 0 9 5 × 1 0 8 −7.955
8.041 1 . 8 7 6 × 1 0 8 −7.727
9.758 7 . 6 8 1 × 1 0 9 −8.1146
11.474 5 . 1 2 1 × 1 0 9 −8.2906
13.191 8 . 5 3 4 × 1 0 1 0 −9.069