10.1 2 parameter fit

10.1.1 Continuum

$$\begin{gather} \chi^2/d.o.f.=2.75551 \\ P[0]=-0.928181\pm (0.012) \\ P[1]=-68.7347\pm (1.5) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 0.000135& 0.0703\\ 0.0703& 2.33\\ \end{pmatrix} \end{gather}$$ }

10.1.2 Latt $E-E^{free-latt}+E^{free-cont}$

$$\begin{gather} \chi^2/d.o.f.=1.40686 \\ P[0]=-0.93717\pm (0.012) \\ P[1]=-32.544\pm (0.85) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 0.000149& 0.479\\ 0.479& 0.726\\ \end{pmatrix} \end{gather}$$ }

10.1.3 Latt $E_{CM}$ with disp rel

$$\begin{gather} \chi^2/d.o.f.=4.40224 \\ P[0]=-0.999886\pm (0.013) \\ P[1]=-62.8422\pm (1.6) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 0.000167& 0.0893\\ 0.0893& 2.41\\ \end{pmatrix} \end{gather}$$ }

10.1.4 to generate the pdf plot

continuum disp

$$\begin{gather} \chi^2/d.o.f.=3.8733 \\ P[0]=-4.58478\pm (0.073) \\ P[1]=-0.220197\pm (0.0052) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 0.00531& 0.229\\ 0.229& 2.71e-05\\ \end{pmatrix} \end{gather}$$ }

lattice disp

$$\begin{gather} \chi^2/d.o.f.=1.32136 \\ P[0]=-4.79208\pm (0.075) \\ P[1]=-0.105474\pm (0.0031) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 0.00567& 0.615\\ 0.615& 9.81e-06\\ \end{pmatrix} \end{gather}$$ }

#> png 
#>   2
#> png 
#>   2

$T$	$L$	$\bf p$	$k/M(dE)$	$k \cot(\delta)(dE)$	$k/M$	$k \cot(\delta)$
32	24	(0,0,0)	0.236697	-0.839(13)	0.236697	-0.839(13)
32	28	(0,0,0)	0.192419	-0.758(31)	0.192419	-0.758(31)
32	30	(0,0,0)	0.167482	-0.659(36)	0.167482	-0.659(36)
32	32	(0,0,0)	0.152493	-0.618(40)	0.152493	-0.618(40)
32	36	(0,0,0)	0.125359	-0.515(62)	0.125359	-0.515(62)
32	24	(1,0,0)	0.829466	-1.266(12)	0.829466	-1.168(21)
32	28	(1,0,0)	0.741610	-1.2685(79)	0.741610	-1.191(12)
32	30	(1,0,0)	0.697574	-1.209(18)	0.697574	-1.105(29)
32	32	(1,0,0)	0.664370	-1.219(20)	0.664370	-1.128(31)
32	36	(1,0,0)	0.606361	-1.223(17)	0.606361	-1.146(26)
32	24	(1,1,0)	1.019370	-1.319(25)	1.019370	-0.85(17)
32	28	(1,1,0)	0.911813	-1.170(72)	0.911813	-0.04(47)
32	30	(1,1,0)	0.875121	-1.249(46)	0.875121	-0.68(27)
32	32	(1,1,0)	0.841702	-1.317(24)	0.841702	-1.050(90)
32	36	(1,1,0)	0.773975	-1.308(31)	0.773975	-1.07(10)
32	24	(1-1,0,0)	2.046330	-1.3598(49)	2.046330	-1.225(13)
32	28	(1-1,0,0)	1.765370	-1.3610(70)	1.765370	-1.268(14)
32	30	(1-1,0,0)	1.651790	-1.3688(52)	1.651790	-1.2949(95)
32	32	(1-1,0,0)	1.547630	-1.3523(68)	1.547630	-1.274(12)
32	36	(1-1,0,0)	1.379520	-1.3494(88)	1.379520	-1.284(14)
32	24	(1,1,1)	1.151280	-1.402(28)	1.151280	-0.10(85)
32	28	(1,1,1)	1.049040	-1.400(43)	1.049040	-0.65(82)
32	30	(1,1,1)	0.998036	-1.349(77)	0.998036	0.1(1.1)
32	32	(1,1,1)	0.955142	-1.323(79)	0.955142	0.31(98)
32	36	(1,1,1)	0.881194	-1.258(86)	0.881194	0.59(53)