Table 6: Comparison of galactic, equatorial and maximal asymmetry hemispheres for the flat $\Lambda $CDM model. We use all SNe with $A_{\rm V} < 1.0$ from data sets A and B. The meaning of the columns is analogue to Table 3.
  d.o.f. $\frac{\chi^2}{\rm d.o.f.}$ $\frac{H_0}{H_0^*}$ $\Omega _{\rm M}$ MC$_{\chi^2}$ MC $_{\frac{H_0}{H_0^*}}$ MC $_{\Omega_{\rm M}}$
          ( $\Delta \chi ^2$) ( $\Delta \frac{H_0}{H_0^*}$) ( $\Delta \Omega_{\rm M}$)

data set A
             
$A_{\rm V} \leq 1$, $\sigma_v = 345$ km s-1, z arbitrary 242 1.31 $1.02 \pm 0.02$ $ 0.31\pm0.06 $      
Galactic hemispheres              
North: $(l,b)=(0^{\circ},90^{\circ})$ 136 1.36 $1.02 \pm 0.02$ $
0.24 \pm 0.07$ 6.47$\%$ 12.80$\%$ 5.00$\%$
South: $(l,b)=(0^{\circ},-90^{\circ})$ 104 1.21 $1.00 \pm 0.02$ $
0.44 \pm 0.12$ (9.11) (0.02) (0.20)
Equatorial hemispheres              
North: $(l,b)=(123^{\circ},27^{\circ})$ 136 1.32 $ 0.99 \pm
0.02$ $
0.34 \pm 0.08$ 0.2$\%$ 0.6$\%$ 64.6$\%$
South: $(l,b)=(303^{\circ},-27^{\circ})$ 104 1.18 $ 1.04 \pm
0.02$ $
0.35 \pm 0.11$ (27.15) (0.05) (0.01)
Hemispheres max. Asymmetry in $\chi ^2$:              
Pole: $(l,b)=(120^{\circ},25^{\circ}) $ 133 1.25 $ 0.98 \pm 0.02$ $
0.36 \pm 0.08$ 4.6$\%$ 12.2$\%$ 93.8$\%$
Pole: $(l,b)=(300^{\circ},-25^{\circ})$ 107 1.24 $ 1.04 \pm
0.02$ $
0.40 \pm 0.10$ (35.08) (0.06) (0.04)
data set B              
$A_{\rm V} \leq 1$, $\sigma_v = 345$ km s-1, $z \leq 0.2$ 75 0.84 $1.01 \pm 0.03$ $-1.42 \pm 1.23$      
Galactic hemispheres              
North: $(l,b)=(0^{\circ},90^{\circ})$ 106 1.00 $1.00 \pm 0.03$ $
0.28 \pm 0.08$ 38.21$\%$ 9.17$\%$ 37.98$\%$
South: $(l,b)=(0^{\circ},-90^{\circ})$ 72 1.28 $ 0.97 \pm 0.03 $ $
0.34\pm 0.09$ (1.89) (0.03) (0.06)
Equatorial hemispheres              
North: $(l,b)=(123^{\circ},27^{\circ})$ 108 1.12 $ 0.97 \pm 0.03 $ $
0.31 \pm 0.08$ 7.8$\%$ 4.2$\%$ 94.2$\%$
South: $(l,b)=(303^{\circ},-27^{\circ})$ 70 1.08 $1.00 \pm 0.03$ $ 0.32
\pm 0.09$ (5.86) (0.03) (0.01)
Hemispheres max. Asymmetry in $\chi ^2$:              
Pole: $(l,b)=(235^{\circ},15^{\circ})$ 130 1.03 $1.00 \pm 0.03$ $ 0.30
\pm 0.07 $ 62.0$\%$ 73.3$\%$ 27.7$\%$
Pole: $(l,b)=(55^{\circ},-15^{\circ})$ 48 1.13 $ 0.98 \pm 0.03
$ $ 0.12 \pm 0.11 $ (13.84) (0.02) (0.18)


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