From 64e66925b85fc39665fa963a6806f660c1841ae9 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 12 Nov 2024 09:09:32 -0500 Subject: [PATCH 01/18] Created new file about sources of opacity and added info on Compton Scattering --- docs/physics/tardisgamma/opacities.rst | 9 +++++++++ 1 file changed, 9 insertions(+) create mode 100644 docs/physics/tardisgamma/opacities.rst diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst new file mode 100644 index 00000000000..dec81f68655 --- /dev/null +++ b/docs/physics/tardisgamma/opacities.rst @@ -0,0 +1,9 @@ +****************** +Sources of Opacity +****************** +Within the ejecta there are several sources of opacity for the :math:`\gamma`-rays that we need to take into account. + +Compton Scattering +================== +Compton scattering occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. +This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons. From 8377615d69ccdd4763504c6164bf812c3584cc79 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 12 Nov 2024 09:10:24 -0500 Subject: [PATCH 02/18] Added opacity file to index. --- docs/physics/tardisgamma/index.rst | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/physics/tardisgamma/index.rst b/docs/physics/tardisgamma/index.rst index a67b089ba77..528ba1741e7 100644 --- a/docs/physics/tardisgamma/index.rst +++ b/docs/physics/tardisgamma/index.rst @@ -10,3 +10,4 @@ Type Ia supernovae produce a large amount of energy from :math:`\gamma`-rays pro .. toctree:: packetinitialization + opacities From 66a3f2dd001eb5cb1d1a8aacf91533c34ff378c4 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 19 Nov 2024 00:03:18 -0500 Subject: [PATCH 03/18] Added more infor for compton scattering and added the 2 other opacities. --- docs/physics/tardisgamma/opacities.rst | 57 +++++++++++++++++++++++++- 1 file changed, 55 insertions(+), 2 deletions(-) diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst index dec81f68655..12424272cfa 100644 --- a/docs/physics/tardisgamma/opacities.rst +++ b/docs/physics/tardisgamma/opacities.rst @@ -1,9 +1,62 @@ ****************** Sources of Opacity ****************** -Within the ejecta there are several sources of opacity for the :math:`\gamma`-rays that we need to take into account. +Within the ejecta there are several sources of opacity for the :math:`\gamma`-rays that we need to take into account. + +Pair Creation +============= +This form of opacity is dominant when the energy of the :math:`\gamma`-ray is greater than or equal to :math:`2m_e c^2`. +It occurs when a :math:`\gamma`-ray passes a nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. +The photon packet keeps its energy but is sent into a new direction. +The pair-production coefficients are: + +.. math:: + + \alpha_{pp}(1.5 < h\nu < 1.022) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}]1.0063(h\nu - 1.022) \times 10^{-27} + + \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.0481 + 0.301(h\nu - 1.5) \times 10^{-27} + Compton Scattering ================== -Compton scattering occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. +Compton scattering is inelastic scattering that occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons. +To find the energy of the scattered photon we use the equation we multiply the initial energy with the compton fraction :math:`f_C` + +.. math:: + + f_C = \frac{1}{1 + x(1 - \cos{\theta})} + +Where :math:`\theta` is the angle the photon is scattered at and :math:`x = \frac{h \nu}{m_e c^2}` + +The partial cross section from 0 to :math:`\theta` in terms of f is: + +.. math:: + + \sigma(f) = \frac{3 \sigma_T}{8x} \frac{\left( x^2 - 2x - 2 \right) \ln(f)}{x^2} + \frac{f^2 - 1}{2f^2} + \frac{f - 1}{x} [\frac{1}{x} + 2f + \frac{1}{xf}] + +Where f can range from 1 to 1+2x and :math:`\sigma_T` is the Thomson scattering cross section. + +The scattering angle is given by: + +.. math:: + + \theta_C = \cos^{-1}({1 - \frac{f-1}{x}}) + + +The total integrated Compton scattering coeffcient is: + +.. math:: + + \alpha_C = n_e \frac{3}{4} \sigma_T [\frac{1+x}{x^3} \frac{2x(1 + x)}{1 + 2x} - \ln(1 + 2x) + \frac{1}{2x} \ln(1 + 2x) - \frac{1 + 3x}{(1 + 2x)^2}] + +The direction vector is then rotated by :math:`\theta` to get the new direction and the frequency is updated. + +Photoabsorption +=============== +This occurs when the photon is completely absorbed by a material. +The coefficient is: + +.. math:: + + \alpha_{pa}(\nu) = 1.16 \times 10^{-24} (h\nu)^{-3.13} \frac{\rho}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + 25.7 \times 10^{-24} (h\nu)^{-3} \frac{\rho}{m_{\text{Fe}}} X_{\text{IGE}} From 8c88ea051e9b52179c261d797051d801e7201a70 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 19 Nov 2024 09:38:39 -0500 Subject: [PATCH 04/18] Fixed some small errors --- docs/physics/tardisgamma/opacities.rst | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst index 12424272cfa..3ce8617233c 100644 --- a/docs/physics/tardisgamma/opacities.rst +++ b/docs/physics/tardisgamma/opacities.rst @@ -16,6 +16,7 @@ The pair-production coefficients are: \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.0481 + 0.301(h\nu - 1.5) \times 10^{-27} +:math:`\rho` is the mass density of the ejecta and :math:`X_{text{IGE}}` is the mass fraction of Fe-group elements. Compton Scattering ================== @@ -50,11 +51,12 @@ The total integrated Compton scattering coeffcient is: \alpha_C = n_e \frac{3}{4} \sigma_T [\frac{1+x}{x^3} \frac{2x(1 + x)}{1 + 2x} - \ln(1 + 2x) + \frac{1}{2x} \ln(1 + 2x) - \frac{1 + 3x}{(1 + 2x)^2}] +Where :math:`n_e` is the number density of electrons. The direction vector is then rotated by :math:`\theta` to get the new direction and the frequency is updated. Photoabsorption =============== -This occurs when the photon is completely absorbed by a material. +This occurs when the photon is completely absorbed by a material. We assume that the :math:`\gamma`-ray deposits all of its energy when this occurs The coefficient is: .. math:: From ea4e31cc24682ee566ce2961bf0b7db46a6fff9f Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 19 Nov 2024 10:02:36 -0500 Subject: [PATCH 05/18] Fixed typo --- docs/physics/tardisgamma/opacities.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst index 3ce8617233c..4a460e223a5 100644 --- a/docs/physics/tardisgamma/opacities.rst +++ b/docs/physics/tardisgamma/opacities.rst @@ -16,7 +16,7 @@ The pair-production coefficients are: \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.0481 + 0.301(h\nu - 1.5) \times 10^{-27} -:math:`\rho` is the mass density of the ejecta and :math:`X_{text{IGE}}` is the mass fraction of Fe-group elements. +:math:`\rho` is the mass density of the ejecta and :math:`X_{\text{IGE}}` is the mass fraction of Fe-group elements. Compton Scattering ================== From 42fe815a31940243fcbbbb08d0ba9904771cb36e Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 26 Nov 2024 10:00:39 -0500 Subject: [PATCH 06/18] Added images of the plots of the coefficients. --- .../images/compton_scattering_coefficient.png | Bin 0 -> 26382 bytes .../images/pair_production_coefficient.png | Bin 0 -> 32987 bytes .../images/photoabsorption_coefficient.png | Bin 0 -> 23523 bytes 3 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 docs/physics/tardisgamma/images/compton_scattering_coefficient.png create mode 100644 docs/physics/tardisgamma/images/pair_production_coefficient.png create mode 100644 docs/physics/tardisgamma/images/photoabsorption_coefficient.png diff --git a/docs/physics/tardisgamma/images/compton_scattering_coefficient.png b/docs/physics/tardisgamma/images/compton_scattering_coefficient.png new file mode 100644 index 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zsmkemX?Oa`M=}kEFKr#yl$$_z6gt*@5u<7d4H@OG>;fKJpkl3Ns2!kU)?Ieu5{r59 z={!u8-HUs^vyYY>X#qXn#8vnD%j&**WQH-wA$>F&5{SG-Abe0Ckrbi|OfU zz^%b-&%wmCj_pDjx#J+sk+3_NDX3)>MF%=YYS1-F7XjWuqeudkZxk5d9LQo~8;+I8 za6|XQCkRYTn<)iOrug=y^eS0&BQXtN91Fwidl7tXnHROFLR>-BgMnuS!4hwUv4K{J7W&MzAO?CSxKOZMI z+kK_-C~<^*9fPi&W6P|*`IGa~o2}%keDNXhh1sg_+VF_Pz$<>1v;>XPD9v zi)_U_7#&i~K-(q@0pHA6uAo$c+5}v;_Q<2GiXt_Q4lG@6Jl?gU&9pkOR~!vC#_S$n zF8Th&EM`7x9HcUCB9SQHj;R->&)VJj>5Gj&wtBqtd3IyE(b>MX*}bV>R!o#Zb7L>; zoxi5)E%-A)L$u(WZ>_#Yl1fmwRxeKRlq1}}$1|_E#^>r9>=$N^f zkT;w!?DV|#$wl1T!Y4!c4y4X7Kaj7Lo@?#w?3`OfIZuS%X+Tw6w|k{EV?OpNVbFNf#c-MBJ;j8Y!t~As2?kN@iTvi=++3heDOa!l z4ThhqGE)pLr^$LPIw@?e9+w<4l86{Kw#JT?Q;BHs%#Q3NL$+{W%7jv*}fmze1LTGx8<98V* z;BK==?d=b+-6a8;9IH3IP4iA9{fU0~WP=WYoS+)Bv6_*_R2d>clKBj_)T`)ZZIg8Rtp(=))JnH5X?<~fVL8|8*))XPjJuns>%CpaqW=xh_O8eP literal 0 HcmV?d00001 From d53d76a5aa6154467d055ea970657176ac9e7eef Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 26 Nov 2024 10:01:09 -0500 Subject: [PATCH 07/18] Added images to opacity file. --- docs/physics/tardisgamma/opacities.rst | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst index 4a460e223a5..dab6d1b6546 100644 --- a/docs/physics/tardisgamma/opacities.rst +++ b/docs/physics/tardisgamma/opacities.rst @@ -18,6 +18,8 @@ The pair-production coefficients are: :math:`\rho` is the mass density of the ejecta and :math:`X_{\text{IGE}}` is the mass fraction of Fe-group elements. +.. figure:: images/pair_production_coefficient.png + Compton Scattering ================== Compton scattering is inelastic scattering that occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. @@ -52,6 +54,9 @@ The total integrated Compton scattering coeffcient is: \alpha_C = n_e \frac{3}{4} \sigma_T [\frac{1+x}{x^3} \frac{2x(1 + x)}{1 + 2x} - \ln(1 + 2x) + \frac{1}{2x} \ln(1 + 2x) - \frac{1 + 3x}{(1 + 2x)^2}] Where :math:`n_e` is the number density of electrons. + +.. figure:: images/compton_scattering_coefficient.png + The direction vector is then rotated by :math:`\theta` to get the new direction and the frequency is updated. Photoabsorption @@ -62,3 +67,5 @@ The coefficient is: .. math:: \alpha_{pa}(\nu) = 1.16 \times 10^{-24} (h\nu)^{-3.13} \frac{\rho}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + 25.7 \times 10^{-24} (h\nu)^{-3} \frac{\rho}{m_{\text{Fe}}} X_{\text{IGE}} + +.. figure:: images/photoabsorption_coefficient.png From b5c424d829f0e49488c2cf002b8298ccc80b80fe Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 26 Nov 2024 10:08:05 -0500 Subject: [PATCH 08/18] Fixed equation --- docs/physics/tardisgamma/opacities.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst index dab6d1b6546..d1f5dada9cb 100644 --- a/docs/physics/tardisgamma/opacities.rst +++ b/docs/physics/tardisgamma/opacities.rst @@ -14,7 +14,7 @@ The pair-production coefficients are: \alpha_{pp}(1.5 < h\nu < 1.022) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}]1.0063(h\nu - 1.022) \times 10^{-27} - \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.0481 + 0.301(h\nu - 1.5) \times 10^{-27} + \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.481 + 0.301(h\nu - 1.5) \times 10^{-27} :math:`\rho` is the mass density of the ejecta and :math:`X_{\text{IGE}}` is the mass fraction of Fe-group elements. From 4904b01d83f497efac10bb9a6c52491b1dd86b9a Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 3 Dec 2024 08:49:58 -0500 Subject: [PATCH 09/18] Updated plots and added two more --- .../physics/tardisgamma/images/all_coeffs.png | Bin 0 -> 40721 bytes .../tardisgamma/images/coeff_fractions.png | Bin 0 -> 40351 bytes .../images/compton_scattering_coefficient.png | Bin 26382 -> 27408 bytes .../images/pair_production_coefficient.png | Bin 32987 -> 32104 bytes .../images/photoabsorption_coefficient.png | Bin 23523 -> 24519 bytes 5 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 docs/physics/tardisgamma/images/all_coeffs.png create mode 100644 docs/physics/tardisgamma/images/coeff_fractions.png diff --git a/docs/physics/tardisgamma/images/all_coeffs.png b/docs/physics/tardisgamma/images/all_coeffs.png new file mode 100644 index 0000000000000000000000000000000000000000..58f49fe042ae2d550f79ac091b9d9121473ab3bf GIT binary patch literal 40721 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za6|XQCkRYTn<)iOrug=y^eS0&BQXtN91Fwidl7tXnHROFLR>-BgMnuS!4hwUv4K{J7W&MzAO?CSxKOZMI z+kK_-C~<^*9fPi&W6P|*`IGa~o2}%keDNXhh1sg_+VF_Pz$<>1v;>XPD9v zi)_U_7#&i~K-(q@0pHA6uAo$c+5}v;_Q<2GiXt_Q4lG@6Jl?gU&9pkOR~!vC#_S$n zF8Th&EM`7x9HcUCB9SQHj;R->&)VJj>5Gj&wtBqtd3IyE(b>MX*}bV>R!o#Zb7L>; zoxi5)E%-A)L$u(WZ>_#Yl1fmwRxeKRlq1}}$1|_E#^>r9>=$N^f zkT;w!?DV|#$wl1T!Y4!c4y4X7Kaj7Lo@?#w?3`OfIZuS%X+Tw6w|k{EV?OpNVbFNf#c-MBJ;j8Y!t~As2?kN@iTvi=++3heDOa!l z4ThhqGE)pLr^$LPIw@?e9+w<4l86{Kw#JT?Q;BHs%#Q3NL$+{W%7jv*}fmze1LTGx8<98V* z;BK==?d=b+-6a8;9IH3IP4iA9{fU0~WP=WYoS+)Bv6_*_R2d>clKBj_)T`)ZZIg8Rtp(=))JnH5X?<~fVL8|8*))XPjJuns>%CpaqW=xh_O8eP From 261871e48254a6045fa0f3baa1b2527d0105236d Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 3 Dec 2024 09:03:45 -0500 Subject: [PATCH 10/18] Added new plots and fixed some typos. --- docs/physics/tardisgamma/opacities.rst | 16 +++++++++++++--- 1 file changed, 13 insertions(+), 3 deletions(-) diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst index d1f5dada9cb..88cd62919a9 100644 --- a/docs/physics/tardisgamma/opacities.rst +++ b/docs/physics/tardisgamma/opacities.rst @@ -14,7 +14,7 @@ The pair-production coefficients are: \alpha_{pp}(1.5 < h\nu < 1.022) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}]1.0063(h\nu - 1.022) \times 10^{-27} - \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.481 + 0.301(h\nu - 1.5) \times 10^{-27} + \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.481 + 0.301(h\nu - 1.5)] \times 10^{-27} :math:`\rho` is the mass density of the ejecta and :math:`X_{\text{IGE}}` is the mass fraction of Fe-group elements. @@ -51,7 +51,7 @@ The total integrated Compton scattering coeffcient is: .. math:: - \alpha_C = n_e \frac{3}{4} \sigma_T [\frac{1+x}{x^3} \frac{2x(1 + x)}{1 + 2x} - \ln(1 + 2x) + \frac{1}{2x} \ln(1 + 2x) - \frac{1 + 3x}{(1 + 2x)^2}] + \alpha_C = n_e \frac{3}{4} \sigma_T [\frac{1+x}{x^3} (\frac{2x(1 + x)}{1 + 2x} - \ln(1 + 2x)) + \frac{1}{2x} \ln(1 + 2x) - \frac{1 + 3x}{(1 + 2x)^2}] Where :math:`n_e` is the number density of electrons. @@ -61,7 +61,7 @@ The direction vector is then rotated by :math:`\theta` to get the new direction Photoabsorption =============== -This occurs when the photon is completely absorbed by a material. We assume that the :math:`\gamma`-ray deposits all of its energy when this occurs +This occurs when the photon is completely absorbed by a material. We assume that the :math:`\gamma`-ray deposits all of its energy when this occurs. The coefficient is: .. math:: @@ -69,3 +69,13 @@ The coefficient is: \alpha_{pa}(\nu) = 1.16 \times 10^{-24} (h\nu)^{-3.13} \frac{\rho}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + 25.7 \times 10^{-24} (h\nu)^{-3} \frac{\rho}{m_{\text{Fe}}} X_{\text{IGE}} .. figure:: images/photoabsorption_coefficient.png + + + +Each source of opacity is dominant in different energy ranges. We can see this when all three coefficients are plotted together: + +.. figure:: images/all_coeffs.png + +We can also look at the fraction of the total absorption coefficient that each source of opacity takes up in different energy levels: + +.. figure:: images/coeff_fractions.png \ No newline at end of file From f1e194a4f61ecbf8c98eca4a3230ba292ffe4ae8 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Mon, 20 Jan 2025 16:24:26 -0500 Subject: [PATCH 11/18] Fixed plots --- .../physics/tardisgamma/images/all_coeffs.png | Bin 40721 -> 43617 bytes .../tardisgamma/images/coeff_fractions.png | Bin 40351 -> 45168 bytes 2 files changed, 0 insertions(+), 0 deletions(-) diff --git a/docs/physics/tardisgamma/images/all_coeffs.png b/docs/physics/tardisgamma/images/all_coeffs.png index 58f49fe042ae2d550f79ac091b9d9121473ab3bf..e97ff8a75906c8ab9a75123eb0d540c3dd55b91f 100644 GIT binary patch literal 43617 zcmd?RcQ}{-|2KRZ*+~>KqqHa_k!%e~B~g+sGBYA0D=SJyC8K4eQf5W=9%U=5vPCko 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Subject: [PATCH 12/18] Replaced .rst file with a jupyter notebook --- docs/physics/tardisgamma/opacities.ipynb | 363 +++++++++++++++++++++++ docs/physics/tardisgamma/opacities.rst | 81 ----- 2 files changed, 363 insertions(+), 81 deletions(-) create mode 100644 docs/physics/tardisgamma/opacities.ipynb delete mode 100644 docs/physics/tardisgamma/opacities.rst diff --git a/docs/physics/tardisgamma/opacities.ipynb b/docs/physics/tardisgamma/opacities.ipynb new file mode 100644 index 00000000000..2e111c502a9 --- /dev/null +++ b/docs/physics/tardisgamma/opacities.ipynb @@ -0,0 +1,363 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sources of Opacity\n", + "\n", + "Within the ejecta there are several sources of opacity for the $\\gamma$-rays that we need to take into account." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "vscode": { + "languageId": "plaintext" + } + }, + "source": [ + "## Pair Creation\n", + "\n", + "This form of opacity is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", + "It occurs when a $\\gamma$-ray passes a nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", + "The photon packet keeps its energy but is sent into a new direction.\n", + "The pair-production coefficients are:\n", + "\n", + "$$\n", + "\\alpha_{pp}(1.5 < h\\nu < 1.022) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022) \\times 10^{-27}\n", + "$$\n", + "\n", + "$$\n", + "\\alpha_{pp}(h\\nu \\geq 1.5) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] \\left[ 0.481 + 0.301(h\\nu - 1.5) \\right] \\times 10^{-27}\n", + "$$\n", + "\n", + "\n", + "$\\rho$ is the mass density of the ejecta and $X_{\\text{IGE}}$ is the mass fraction of Fe-group elements." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Compton Scattering\n", + "\n", + "Compton scattering is inelastic scattering that occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. \n", + "This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons.\n", + "To find the energy of the scattered photon we use the equation we multiply the initial energy with the compton fraction $f_C$\n", + "\n", + "$$\n", + "f_C = \\frac{1}{1 + x(1 - \\cos{\\theta})}\n", + "$$\n", + "\n", + "Where $\\theta$ is the angle the photon is scattered at and $x = \\frac{h \\nu}{m_e c^2}$\n", + "\n", + "The partial cross section from 0 to $\\theta$ in terms of f is:\n", + "\n", + "$$\n", + "\\sigma(f) = \\frac{3 \\sigma_T}{8x} \\frac{\\left( x^2 - 2x - 2 \\right) \\ln(f)}{x^2} + \\frac{f^2 - 1}{2f^2} + \\frac{f - 1}{x} [\\frac{1}{x} + 2f + \\frac{1}{xf}]\n", + "$$\n", + " \n", + "Where $f$ can range from $1$ to $1+2x$ and $\\sigma_T$ is the Thomson scattering cross section.\n", + "\n", + "The scattering angle is given by:\n", + "\n", + "$$\n", + "\\theta_C = \\cos^{-1}({1 - \\frac{f-1}{x}})\n", + "$$\n", + "\n", + "The total integrated Compton scattering coeffcient is:\n", + "\n", + "$$\n", + "\\alpha_C = n_e \\frac{3}{4} \\sigma_T [\\frac{1+x}{x^3} (\\frac{2x(1 + x)}{1 + 2x} - \\ln(1 + 2x)) + \\frac{1}{2x} \\ln(1 + 2x) - \\frac{1 + 3x}{(1 + 2x)^2}]\n", + "$$\n", + "\n", + "Where $n_e$ is the number density of electrons.\n", + "\n", + "The direction vector is then rotated by $\\theta$ to get the new direction and the frequency is updated." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Photoabsorption\n", + "\n", + "This occurs when the photon is completely absorbed by a material. We assume that the $\\gamma$-ray deposits all of its energy when this occurs.\n", + "The coefficient is:\n", + "\n", + "$$\n", + "\\alpha_{pa}(\\nu) = 1.16 \\times 10^{-24} (h\\nu)^{-3.13} \\frac{\\rho}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + 25.7 \\times 10^{-24} (h\\nu)^{-3} \\frac{\\rho}{m_{\\text{Fe}}} X_{\\text{IGE}}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code example\n", + "\n", + "Each source of opacity has its own function. The following cells demonstrate how each function works and how the opacities are implemented in the code." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from tardis.opacities.opacities import compton_opacity_calculation\n", + "from tardis.opacities.opacities import photoabsorption_opacity_calculation\n", + "from tardis.opacities.opacities import pair_creation_opacity_calculation" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "# Creating an array of packet energies from 100 KeV to 10000 KeV\n", + "energies = np.arange(10, 10000, 0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Pair Production Opacity')" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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o87JtfRiSXtL9+/cLvUySiIiIKoe7d+++8KXXDEkvydzcHMCTTrawsJC4GiIiIiqOjIwM1K9fX/s9XhSGpJf09BabhYUFQxIREVElU5xHZfjgNhEREZEeDElEREREejAkEREREenBkERERESkB0MSERERkR4MSURERER6MCQRERER6cGQRERERKQHQxIRERGRHgxJRERERHowJBERERHpwZBEREREpAdDEhEREVU4f19LRr5KI2kNDElERERUYQghsCTkOkYHhWHO7osQQkhWi5FkRyYiIiJ6hlKlxszfLmBP1H0AgI25AkIAMpk09TAkERERkeQeZedj/C8ROBeXBiMDGRa+5Q4/7waS1sSQRERERJKKTcnGmOAwxKZkw1xhhJUjPNGpibXUZTEkERERkXTC4tIwbmM4HucUoG6tGgga7Y2mduZSlwWAIYmIiIgk8ntUAj7ZcQH5ag1a17PE2lFesDU3kbosLYYkIiIiKldCCCw7ehP/DbkOAOjdwg4/+rVFDbmhxJXpYkgiIiKicpOv0mD2rovYef4eAOCDLi6Y1ccVBgYSDWErAkMSERERlYv0nAKM3xSOf26nwdBAhnlvtsCI15ykLuu5GJKIiIiozMWn5iAg+BxuP8xGTYURlr3XFt2a2UpdVpEYkoiIiKhMRdx5hA82hiM1Ox8OliZYH+CN5g4WUpf1QgxJREREVGb2X7iP6dujka/SwL2uBdaN8oadRcUZwVYUhiQiIiIqdUIIrDx+C4v/vAYA6NncDkvfbQNTeeWJHpWnUiIiIqoUCtQafLb7EraF3wUAjOnojLn9msOwAo5gKwpDEhEREZWa9NwCfPRrBE7fTIWBDPhyQAuM6tBQ6rJeCkMSERERlYq7aTkYExyGG8lZMJUb4qd326JHczupy3ppDElERET0yqLuPsb7G8KRkqWEnYUC60Z5w72updRlvRKGJCIiInolf15KxNRtUcgr0KC5gwXWB3jBwbKG1GW9MoYkIiIieilCCKw9eRuBB69CCKB7Mxv89J4HaiqqRryoGmdBRERE5Uql1uCLvZex+Ww8AGCkjxO+6O8GI0MDiSsrPQxJREREVCKZeQWYtDkSx68/hEwGfNbPDWM6NoRMVrmG+L8IQxIREREV2/3HuRgTHIarSZmoYWyI/xvWBr4t7KUuq0wwJBEREVGxXLyXjrEbwpCcqYSNuQLrRnmhVb1aUpdVZhiSiIiI6IVCYh5g8pZI5Bao0czOHOtHe6Nurco/gq0oDElERERUpPWnYrHgjxgIAXRuYo0Vwz1gbmIsdVlljiGJiIiI9FKpNViwPwYbQu8AAN5t1wDzB7aAcRUawVYUhiQiIiIqJFupwsdbInH0ajIAYE5fV4zr7FLlRrAVhSGJiIiIdCSl52FMcBhiEjOgMDLAj35t8EZLB6nLKncMSURERKR1+X46xgaHIykjD9Y15Vg70gttG9SWuixJMCQRERERAODvq8mYuPk8cvLVaGJbE+sDvFG/jqnUZUmGIYmIiIjwS2gcvtx7GRoBdGxshRXDPWFZo+qPYCsKQxIREVE1ptYIfHPgCtadigUADPWqh68HtYTcqHqMYCsKQxIREVE1lZOvwpStUQiJeQAA+KR3M3zUrVG1GsFWFIYkIiKiaig5Iw9jN4TjYkI65EYG+O+Q1hjQ2lHqsioUhiQiIqJq5mpSBsYEheF+eh7qmMmxdqQnPJ3qSF1WhcOQREREVI0cv/4QE389jyylCi42ZggK8IaTlZnUZVVIkj+VtWLFCjg7O8PExASenp44efJkke2PHz8OT09PmJiYwMXFBatWrdJZf/nyZQwePBgNGzaETCbDjz/+WCrHJSIiquw2n43HmOAwZClVaO9cB7s+7MCAVARJQ9K2bdswdepUzJ07F5GRkejcuTPeeOMNxMfH620fGxuLvn37onPnzoiMjMScOXMwefJk7Ny5U9smJycHLi4uWLRoEezt7UvluERERJWZRiMQeOAK5uy+CLVG4G2PuvhlbHvUMpVLXVqFJhNCCKkO3r59e3h4eGDlypXaZc2bN8egQYMQGBhYqP3MmTOxd+9eXLlyRbtswoQJiI6ORmhoaKH2DRs2xNSpUzF16tRXOq4+GRkZsLS0RHp6OiwsLIq1DRERUXnLzVdj+vYoHLyUBACY3qspPn69cbUdwVaS72/JriTl5+cjIiICvr6+Ost9fX1x5swZvduEhoYWat+7d2+Eh4ejoKCgzI4LAEqlEhkZGTofIiKiiuxhphLD1v6Dg5eSIDd88g62yT2aVNuAVFKShaSUlBSo1WrY2dnpLLezs0NSUpLebZKSkvS2V6lUSElJKbPjAkBgYCAsLS21n/r16xfreERERFK48SATg5afRvTdx6hlaoxN77fHoLZ1pS6rUpH8we1/p1khRJEJV197fctL+7izZ89Genq69nP37t0SHY+IiKi8nL6ZgrdXnkHC41w0tDLFrg87oJ0zh/iXlGRTAFhbW8PQ0LDQ1Zvk5ORCV3mesre319veyMgIVlZWZXZcAFAoFFAoFMU6BhERkVS2h93FnN0XodIIeDesjdX+Xqhjxge0X4ZkV5Lkcjk8PT0REhKiszwkJAQdOnTQu42Pj0+h9ocOHYKXlxeMjYv3Er6XOS4REVFFp9EILP7zKj7deQEqjcDANo7Y9H57BqRXIOlkktOnT4e/vz+8vLzg4+ODNWvWID4+HhMmTADw5BZXQkICNm7cCODJSLZly5Zh+vTpGDduHEJDQ7Fu3Tps2bJFu8/8/HzExMRo/5yQkICoqCjUrFkTjRs3LtZxiYiIKpO8AjVm7IjGHxcSAQCTezTBtJ58QPtVSRqS/Pz8kJqaivnz5yMxMRHu7u44cOAAnJycAACJiYk6cxc5OzvjwIEDmDZtGpYvXw5HR0csXboUgwcP1ra5f/8+2rZtq/35+++/x/fff4+uXbvi2LFjxTouERFRZZGapcS4jeE4H/8YxoYyBL7dCu941pO6rCpB0nmSKjPOk0RERFK79TALo4PCEJ+WAwsTI6zy90SHRtZSl1WhleT7m+9uIyIiqoRCb6ViwqYIpOcWoH6dGggKaIfGtjWlLqtKYUgiIiKqZHZG3MOsXRdQoBbwaFALa0d6waomR2CXNoYkIiKiSkIIgR8O38DSIzcAAP1aOeC/Q1rDxNhQ4sqqJoYkIiKiSkCpUuPT3y7g96j7AICPujXCf3ybwcCAI9jKCkMSERFRBfcoOx/jf4nAubg0GBnIsPAtd/h5N5C6rCqPIYmIiKgCi03JxpjgMMSmZMNcYYSVIzzRqQlHsJUHhiQiIqIK6lxsGj74JRyPcwpQt1YNBI32RlM7c6nLqjYYkoiIiCqg36MS8MmOC8hXa9C6fi38PNILNuYcwVaeGJKIiIgqECEEfjp6E0tCrgMA+rSwxw9+bVBDzhFs5Y0hiYiIqILIV2kwe9dF7Dx/DwDwQRcXzOrjyhFsEmFIIiIiqgDScwowflM4/rmdBkMDGea92QIjXuM7RaXEkERERCSx+NQcBASfw+2H2aipMMLy4R7o2tRG6rKqPYYkIiIiCUXcScO4jRFIy86Ho6UJ1o/2hqs9X5xeETAkERERSWT/hfuYvj0a+SoN3OtaYN0ob9hZmEhdFv0PQxIREVE5E0Jg5fFbWPznNQBAz+Z2WPpuG5jK+bVckfC3QUREVI4K1Bp8tvsStoXfBQCM6eiMuf2aw5Aj2CochiQiIqJykp5bgI9+jcDpm6kwkAFfDmiBUR0aSl0WPQdDEhERUTm4m5aDMcFhuJGcBVO5IZa91xavu9pJXRYVgSGJiIiojEXdfYz3N4QhJSsfdhYKrA/wRgtHS6nLohdgSCIiIipDf15KxNRtUcgr0KC5gwXWB3jBwbKG1GVRMTAkERERlQEhBNaevI3Ag1chBNC9mQ1+es8DNRX86q0s+JsiIiIqZSq1Bl/svYzNZ+MBACN9nPBFfzcYGRpIXBmVBEMSERFRKcrMK8DEzZE4cf0hZDLg835uGN2xIWQyDvGvbBiSiIiISsn9x7kYExyGq0mZqGFsiP8b1ga+LeylLoteEkMSERFRKbh4Lx1jN4QhOVMJG3MF1o3yQqt6taQui14BQxIREdErCol5gMlbIpFboEYzO3OsH+2NurU4gq2yY0giIiJ6SUIIBJ2Ow4I/YiAE0LmJNVYM94C5ibHUpVEpYEgiIiJ6CSq1Bgv2x2BD6B0AwHvtG2Demy1gzBFsVQZDEhERUQllKVX4ePN5/H3tyQi22W+4YlxnF45gq2IYkoiIiEogKT0PY4LDEJOYAYWRAX70a4M3WjpIXRaVAYYkIiKiYrp8Px1jg8ORlJEH65pyrB3phbYNaktdFpURhiQiIqJiOHr1ASZtjkROvhpNbGtifYA36tcxlbosKkMMSURERC+wMTQOX+29DI0AOja2worhnrCswRFsVR1DEhER0XOoNQIL/7iC9adjAQB+XvXx9VvuHMFWTTAkERER6ZGTr8LkLVE4fOUBAOCT3s3wUbdGHMFWjTAkERER/UtyRh7GbgjHxYR0yI0M8N8hrTGgtaPUZVE5Y0giIiJ6xtWkDIwJCsP99DzUMZNj7UhPeDrVkboskgBDEhER0f8cv/4QE389jyylCi42ZggK8IaTlZnUZZFEGJKIiIgA/Hr2Dr74/TLUGoHXXOpg9QgvWJpyBFt1xpBERETVmkYjsOjPq1hz4jYA4G2Pulj0divIjTiCrbpjSCIiomorN1+N6dujcPBSEgBgeq+m+Pj1xhzBRgAYkoiIqJp6mKnE+xvDEX33MeSGBlj8TisMaltX6rKoAmFIIiKiaufGg0wEBIUh4XEuapkaY42/F9o5cwQb6WJIIiKiauXUjRR8+GsEMvNUaGhliqDR7eBszRFsVBhDEhERVRvbw+5izu6LUGkEvBvWxhp/L9Q2k0tdFlVQDElERFTlaTQC3x+6hhXHbgEABrZxxOJ3WkFhZChxZVSRMSQREVGVllegxowd0fjjQiIAYHKPJpjWswlHsNELMSQREVGVlZqlxLiN4Tgf/xjGhjIsersVBnvWk7osqiQknylrxYoVcHZ2homJCTw9PXHy5Mki2x8/fhyenp4wMTGBi4sLVq1aVajNzp074ebmBoVCATc3N+zevVtnvUqlwmeffQZnZ2fUqFEDLi4umD9/PjQaTameGxERSedmchbeWnEG5+Mfw8LECBvHtGdAohKRNCRt27YNU6dOxdy5cxEZGYnOnTvjjTfeQHx8vN72sbGx6Nu3Lzp37ozIyEjMmTMHkydPxs6dO7VtQkND4efnB39/f0RHR8Pf3x9Dhw7F2bNntW2+/fZbrFq1CsuWLcOVK1ewePFifPfdd/jpp5/K/JyJiKjshd5KxdsrTiM+LQcN6phi10cd4dPISuqyqJKRCSGEVAdv3749PDw8sHLlSu2y5s2bY9CgQQgMDCzUfubMmdi7dy+uXLmiXTZhwgRER0cjNDQUAODn54eMjAwcPHhQ26ZPnz6oXbs2tmzZAgDo378/7OzssG7dOm2bwYMHw9TUFL/88kuxas/IyIClpSXS09NhYWFRshMnIqIyszPiHmbtuoACtYBHg1pYO9ILVjUVUpdFFURJvr8lu5KUn5+PiIgI+Pr66iz39fXFmTNn9G4TGhpaqH3v3r0RHh6OgoKCIts8u89OnTrhyJEjuH79OgAgOjoap06dQt++fZ9br1KpREZGhs6HiIgqDiEEloRcx4wd0ShQC/Rr5YDN415jQKKXJtmD2ykpKVCr1bCzs9NZbmdnh6SkJL3bJCUl6W2vUqmQkpICBweH57Z5dp8zZ85Eeno6XF1dYWhoCLVajYULF+Ldd999br2BgYGYN29eSU+TiIjKgVKlxqe/XcDvUfcBAB91a4T/+DaDgQFHsNHLk/zB7X8PwRRCFDksU1/7fy9/0T63bduGTZs2YfPmzTh//jw2bNiA77//Hhs2bHjucWfPno309HTt5+7duy8+OSIiKnNp2fkY8fNZ/B51H0YGMiwe3Aqf9nFlQKJXJtmVJGtraxgaGha6apScnFzoStBT9vb2etsbGRnBysqqyDbP7vOTTz7BrFmzMGzYMABAy5YtcefOHQQGBmLUqFF6j61QKKBQ8JItEVFFEpuSjdFB5xCXmgNzhRFWjvBEpybWUpdFVYRkV5Lkcjk8PT0REhKiszwkJAQdOnTQu42Pj0+h9ocOHYKXlxeMjY2LbPPsPnNycmBgoHvqhoaGnAKAiKgSORebhrdWnEZcag7q1qqBnR91YECiUiXpZJLTp0+Hv78/vLy84OPjgzVr1iA+Ph4TJkwA8OQWV0JCAjZu3AjgyUi2ZcuWYfr06Rg3bhxCQ0Oxbt067ag1AJgyZQq6dOmCb7/9FgMHDsTvv/+Ow4cP49SpU9o2AwYMwMKFC9GgQQO0aNECkZGRWLJkCcaMGVO+HUBERC/l96gEfLLjAvLVGrSuXws/j/SCjTmv9lMpExJbvny5cHJyEnK5XHh4eIjjx49r140aNUp07dpVp/2xY8dE27ZthVwuFw0bNhQrV64stM8dO3aIZs2aCWNjY+Hq6ip27typsz4jI0NMmTJFNGjQQJiYmAgXFxcxd+5coVQqi113enq6ACDS09NLdsJERPTSNBqN+L/D14XTzP3CaeZ+MX5juMhRqqQuiyqRknx/SzpPUmXGeZKIiMpXvkqDWbsuYNf5BADA+C4umMkHtKmESvL9zXe3ERFRhZeeU4Dxm8Lxz+00GBrIMH9gCwxv7yR1WVTFMSQREVGFFp+ag4Dgc7j9MBs1FUZYPtwDXZvaSF0WVQMMSUREVGFF3EnDuI0RSMvOh6OlCdaP9oarPR9xoPLBkERERBXSvuj7mLEjGvkqDVrWtcS6UV6wtTCRuiyqRhiSiIioQhFCYMWxW/jur2sAgF5udvi/YW1gKudXFpUv/o0jIqIKo0CtwWe7L2Fb+JNXP43p6Iy5/ZrDkCPYSAIMSUREVCGk5xbgo18jcPpmKgxkwJcDWmBUh4ZSl0XV2EuFpIKCAiQlJSEnJwc2NjaoU6dOaddFRETVyN20HIwJDsON5CyYyg2x7L22eN1V/3s8icpLsd/dlpWVhdWrV6Nbt26wtLREw4YN4ebmBhsbGzg5OWHcuHEICwsry1qJiKgKirr7GG+tOI0byVmws1BgxwQfBiSqEIoVkn744Qc0bNgQa9euxeuvv45du3YhKioK165dQ2hoKL788kuoVCr06tULffr0wY0bN8q6biIiqgIOXkyE3+pQpGTlw83BAnsmdkQLR0upyyICABTrtSRDhgzBF198gZYtWxbZTqlUYt26dZDL5Xj//fdLrciKiK8lISJ6eUIIrD15G4EHr0IIoHszG/z0ngdqKvioLJWtknx/891tL4khiYjo5ajUGnyx9zI2n40HAIz0ccIX/d1gZFjsJ0CIXhrf3UZERBVSZl4BJm6OxInrDyGTAZ/3c8Pojg0hk3GIP1U8pRbbb926hddff720dkdERFVMwuNcDFkVihPXH6KGsSFWj/DEmE7ODEhUYZXalaSsrCwcP368tHZHRERVyMV76RizIQwPM5WwMVdg/ShvtKzHB7SpYit2SFq6dGmR6xMSEl65GCIiqnoOXU7ClK1RyC1Qw9XeHOsCvFG3Vg2pyyJ6oWKHpKlTp8LBwQFyuVzv+vz8/FIrioiIKj8hBNafjsPXf8RACKBzE2usGO4BcxNjqUsjKpZihyQnJyd8++23GDp0qN71UVFR8PT0LLXCiIio8lKpNViwPwYbQu8AAN5r3wDz3mwBY45go0qk2H9bPT09ERER8dz1MpkMnE2AiIiylCqM2xiODaF3IJMBc/q6YuEgdwYkqnSKfSVp/vz5yMnJee56Nzc3xMbGlkpRRERUOSWm52JMcDiuJGbAxNgAP/q1QR93B6nLInopxQ5Jbm5uRa43NjaGk5PTKxdERESV06WEdIzdEIYHGUpY15Tj51HeaFO/ltRlEb20V7r2uWjRIjx+/LiUSiEiosrq6NUHGLo6FA8ylGhiWxO7P+rIgESV3iuFpG+++QZpaWmlVQsREVVCG0Pj8P6GcOTkq9GxsRV++7AD6tcxlbosolf2SpNJ8kFtIqLqS60RWPjHFaw//eR5VD+v+vj6LT6gTVUH391GREQllpOvwuQtUTh85QEA4NM+zfBh10Z8xQhVKa8UkmJiYuDo6FhatRARUSXwICMPYzeE4VJCBuRGBlgytDX6t+J3AVU9rxSS6tevX1p1EBFRJXA1KQNjgsJwPz0PdczkWDvSC55OtaUui6hMlPjG8fbt28uiDiIiquCOX3+Id1aG4n56HlxszLD7ow4MSFSllSgkrVq1ClOnTi2jUoiIqKL69ewdjAkOQ5ZShddc6mD3hx3hZGUmdVlEZarYt9u+/vpr/Pjjjzhy5EhZ1kNERBWIRiOw6M+rWHPiNgBgsEc9BL7dEnIjjmCjqq9YIWnq1KkICgrCoUOH0Lp167KuiYiIKoDcfDWmbYvCn5eTAAAzejXFpNcbcwQbVRvFCklLly7FmjVr0L59+7Kuh4iIKoCHmUq8vzEc0XcfQ25ogO+GtMLANnWlLouoXBXreungwYPx5Zdf4vbt22VdDxERSezGg0wMWn4a0Xcfo5apMTa9354BiaqlYoWk7du3o3///ujRowcSEhLKuiYiIpLIqRspeHvlGSQ8zkVDK1Ps/qgj2jnXkbosIkkUKyTJZDKsXr0aw4YNw+uvv17WNRERkQS2hcUjIOgcMvNU8G5YG7s/6ghna45go+qrRJNJBgYGws7OrqxqISIiCWg0At8duoaVx24BAAa1ccS377SCwshQ4sqIpFXiGbc5TxIRUdWRV6DGjB3R+ONCIgBgco8mmNazCUewEYEvuCUiqrZSs5QYtzEc5+Mfw9hQhkVvt8Jgz3pSl0VUYbxUSEpISMDp06eRnJwMjUajs27y5MmlUhgREZWdm8lZGBMchvi0HFiYGGG1vxd8GllJXRZRhVLikBQUFIQJEyZALpfDyspK55KsTCZjSCIiquBCb6Vi/C/hyMhToUEdU6wP8EZj25pSl0VU4ciEEKIkG9SvXx8TJkzA7NmzYWBQfaelz8jIgKWlJdLT02FhYSF1OURExfJbxD3M3nUBBWoBjwa1sHakF6xqKqQui6jclOT7u8RXknJycjBs2LBqHZCIiCobIQR+CLmOpUdvAgD6tXLAf4e0hokxR7ARPU+Jk87YsWOxY8eOsqiFiIjKgFKlxtRtUdqA9FG3RvhpWFsGJKIXKPHtNrVajf79+yM3NxctW7aEsbGxzvolS5aUaoEVFW+3EVFlkJadj/G/hCMs7hGMDGT45q2WGOpdX+qyiCRTprfbvvnmG/z1119o1qwZABR6cJuIiCqG2JRsjA46h7jUHJibGGHVCE90bGwtdVlElUaJQ9KSJUuwfv16BAQElEE5RERUGs7FpuGDX8LxOKcA9WrXQFCAN5rYmUtdFlGlUuKQpFAo0LFjx7KohYiISsGeyAR8+tsF5Ks1aF2/Fn4e6QUbc45gIyqpEj+4PWXKFPz0009lUQsREb0CIQSWHrmBqduikK/WoE8Le2wd9xoDEtFLKnFIOnfuHDZs2AAXFxcMGDAAb7/9ts6npFasWAFnZ2eYmJjA09MTJ0+eLLL98ePH4enpCRMTE7i4uGDVqlWF2uzcuRNubm5QKBRwc3PD7t27C7VJSEjAiBEjYGVlBVNTU7Rp0wYRERElrp+IqCLIV2kwY0c0loRcBwCM7+KCFcM9UEPOEWxEL6vEIalWrVp4++230bVrV1hbW8PS0lLnUxLbtm3D1KlTMXfuXERGRqJz58544403EB8fr7d9bGws+vbti86dOyMyMhJz5szB5MmTsXPnTm2b0NBQ+Pn5wd/fH9HR0fD398fQoUNx9uxZbZtHjx6hY8eOMDY2xsGDBxETE4P//ve/qFWrVkm7g4hIco9z8jFy/VnsOp8AQwMZFr7ljtl9m8PAgINpiF5FiacAKE3t27eHh4cHVq5cqV3WvHlzDBo0CIGBgYXaz5w5E3v37sWVK1e0yyZMmIDo6GiEhoYCAPz8/JCRkYGDBw9q2/Tp0we1a9fGli1bAACzZs3C6dOnX3jVqiicAoCIKoI7qdkYHRyG2w+zUVNhhOXDPdC1qY3UZRFVWCX5/i7xlaTY2FjcuHGj0PIbN24gLi6u2PvJz89HREQEfH19dZb7+vrizJkzercJDQ0t1L53794IDw9HQUFBkW2e3efevXvh5eWFIUOGwNbWFm3btsXatWuLXTsRUUUQcScNb604g9sPs+FoaYLfPvRhQCIqRSUOSQEBAXpDzNmzZ0s0LUBKSgrUajXs7Ox0ltvZ2SEpKUnvNklJSXrbq1QqpKSkFNnm2X3evn0bK1euRJMmTfDXX39hwoQJmDx5MjZu3PjcepVKJTIyMnQ+RERS2Rd9H++uPYu07Hy0rGuJPRM7wtWeV7WJSlOJQ1JkZKTeKQBee+01REVFlbiAf09AKYQoclJKfe3/vfxF+9RoNPDw8MA333yDtm3bYvz48Rg3bpzObb9/CwwM1Hn2qn59zlhLROVPCIHlf9/Ex1sika/SoJebHbaNfw22FiZSl0ZU5ZQ4JMlkMmRmZhZanp6eDrVaXez9WFtbw9DQsNBVo+Tk5EJXgp6yt7fX297IyAhWVlZFtnl2nw4ODnBzc9Np07x58+c+MA4As2fPRnp6uvZz9+7dF58kEVEpKlBrMHPnBXz31zUAwNhOzlg1whOm8hJPeUdExVDikNS5c2cEBgbqBCK1Wo3AwEB06tSp2PuRy+Xw9PRESEiIzvKQkBB06NBB7zY+Pj6F2h86dAheXl7ad8g9r82z++zYsSOuXbum0+b69etwcnJ6br0KhQIWFhY6HyKi8pKeW4CAoHPYHn4PBjJg/sAW+Ly/Gww5go2o7IgSunz5srCyshKNGjUSAQEBIiAgQDRq1EjY2NiIixcvlmhfW7duFcbGxmLdunUiJiZGTJ06VZiZmYm4uDghhBCzZs0S/v7+2va3b98WpqamYtq0aSImJkasW7dOGBsbi99++03b5vTp08LQ0FAsWrRIXLlyRSxatEgYGRmJf/75R9vm3LlzwsjISCxcuFDcuHFD/Prrr8LU1FRs2rSp2LWnp6cLACI9Pb1E50xEVFLxqdmix3+PCaeZ+0Xzzw+KI1eSpC6JqNIqyfd3iUOSEEIkJCSI2bNni759+4rBgweLefPmidTU1JfZlVi+fLlwcnIScrlceHh4iOPHj2vXjRo1SnTt2lWn/bFjx0Tbtm2FXC4XDRs2FCtXriy0zx07dohmzZoJY2Nj4erqKnbu3Fmozb59+4S7u7tQKBTC1dVVrFmzpkR1MyQRUXk4fydNeC44JJxm7hftFoaISwmPpS6JqFIryfe3pPMkVWacJ4mIytrBi4mYui0KSpUGbg4WWBfgBQfLGlKXRVSplfo8SUU90KxPQkJCidoTEdH/J4TA6uO38NHm81CqNHjd1RbbJ/gwIBGVs2KFJG9vb4wbNw7nzp17bpv09HSsXbsW7u7u2LVrV6kVSERUnRSoNZiz+xICD16FEMAoHyes8fdETQVHsBGVt2L9V3flyhV888036NOnD4yNjeHl5QVHR0eYmJjg0aNHiImJweXLl+Hl5YXvvvsOb7zxRlnXTURU5WTkFWDir+dx8kYKZDLg835uGNPJWeqyiKqtEj2TlJeXhwMHDuDkyZOIi4tDbm4urK2t0bZtW/Tu3Rvu7u5lWWuFwmeSiKg0JTzOxZigMFx7kIkaxob4v2Ft4NvCXuqyiKqcknx/88Htl8SQRESl5eK9dIzZEIaHmUrYmCuwfpQ3WtazlLosoiqpJN/fvMlNRCShQ5eTMGVrFHIL1HC1N8e6AG/UrcUHtIkqAoYkIiIJCCGw/nQcvv4jBkIAXZraYPl7bWFuYix1aUT0PwxJRETlTKXWYP7+GGwMvQMAeK99A8x/swWMDEv8pigiKkMMSURE5ShLqcLHm8/j72sPIZMBc95ojvc7O0Mm4zvYiCqaEoek7OxsmJmZlUUtRERVWmJ6LsYEh+NKYgZMjA3wo18b9HF3kLosInqOEl/btbOzw5gxY3Dq1KmyqIeIqEq6lJCOQctP40piBqxryrH1Ax8GJKIKrsQhacuWLUhPT0ePHj3QtGlTLFq0CPfv3y+L2oiIqoQjVx5g6OpQPMhQooltTez+qCPa1K8ldVlE9AIlDkkDBgzAzp07cf/+fXz44YfYsmULnJyc0L9/f+zatQsqlaos6iQiqpQ2nInDuI3hyMlXo1Nja/z2YQfUr2MqdVlEVAylMpnkTz/9hE8++QT5+fmwtrbGhAkTMGvWLJiaVt1/CDiZJBEVRa0R+PqPGASdjgMA+HnVx9dvucOYI9iIJFUuk0kmJSVh48aNCAoKQnx8PN555x2MHTsW9+/fx6JFi/DPP//g0KFDL7t7IqJKKydfhclbonD4ygMAwKd9muHDro04go2okilxSNq1axeCgoLw119/wc3NDRMnTsSIESNQq1YtbZs2bdqgbdu2pVknEVGl8CAjD2M3hOFSQgbkRgZYMrQ1+rdylLosInoJJQ5Jo0ePxrBhw3D69Gl4e3vrbePi4oK5c+e+cnFERJXJlcQMjA0Ow/30PNQxk2PtSC94OtWWuiwiekklfiYpJyenSj9rVFx8JomInnXsWjImbY5EllKFRjZmCApohwZW/LeSqKIpyfd3iZ8gNDc3R3JycqHlqampMDQ0LOnuiIgqvV/P3sHYDeHIUqrwmksd7PqwIwMSURVQ4tttz7vwpFQqIZfLX7kgIqLKQqMRWPTnVaw5cRsAMNijHgLfbgm5EUewEVUFxQ5JS5cuBQDIZDL8/PPPqFmzpnadWq3GiRMn4OrqWvoVEhFVQLn5akzbFoU/LycBAGb0aopJrzfmCDaiKqTYIemHH34A8ORK0qpVq3RurcnlcjRs2BCrVq0q/QqJiCqY5Mw8jNsQjuh76ZAbGuC7Ia0wsE1dqcsiolJW7JAUGxsLAOjevTt27dqF2rU5YoOIqp/rDzIxOigMCY9zUdvUGGtGesG7YR2pyyKiMlDiZ5L+/vvvsqiDiKjCO3UjBR9uikCmUgVnazOsD/CGs7WZ1GURURkpVkiaPn06FixYADMzM0yfPr3ItkuWLCmVwoiIKpJtYfGYu/sSVBoB74a1scbfC7XNOFiFqCorVkiKjIxEQUGB9s/PwwcWiaiq0WgEvjt0DSuP3QIADGrjiG/faQWFEac8IarqSuUFt9URJ5MkqvryCtSYsT0af1xMBABM6dEEU3s24f8hJKrEyvQFt+np6VCr1ahTR/dBxbS0NBgZGTEwEFGVkJKlxLiN4YiMfwxjQxkWvd0Kgz3rSV0WEZWjEs94NmzYMGzdurXQ8u3bt2PYsGGlUhQRkZRuJmfhrRWnERn/GBYmRtg4pj0DElE1VOKQdPbsWXTv3r3Q8m7duuHs2bOlUhQRkVRCb6Xi7RWncTctFw3qmGLXRx3h08hK6rKISAIlvt2mVCqhUqkKLS8oKEBubm6pFEVEJIXfIu5h9q4LKFALeDSohbUjvWBVUyF1WUQkkRJfSfL29saaNWsKLV+1ahU8PT1LpSgiovIkhMCSQ9fwnx3RKFAL9G/lgM3jXmNAIqrmSnwlaeHChejZsyeio6PRo0cPAMCRI0cQFhaGQ4cOlXqBRERlKa9AjZk7L+D3qPsAgIndG2FGr2YwMOAINqLqrsRXkjp27IjQ0FDUr18f27dvx759+9C4cWNcuHABnTt3LosaiYjKRFp2PvzXncXvUfdhZCDD4sGt8ElvVwYkIgLAeZJeGudJIqrcYlOyMTroHOJSc2BuYoRVIzzRsbG11GURURkr03mSnpWbm6udifspBgYiqujOxabhg1/C8TinAPVq10BQgDea2JlLXRYRVTAlDkk5OTn49NNPsX37dqSmphZar1arS6UwIqKysCcyAZ/+dgH5ag1a16+Fn0d6wcacD2gTUWElfibpk08+wdGjR7FixQooFAr8/PPPmDdvHhwdHbFx48ayqJGI6JUJIfB/h29g6rYo5Ks1eMPdHlvHvcaARETPVeIrSfv27cPGjRvRrVs3jBkzBp07d0bjxo3h5OSEX3/9FcOHDy+LOomIXlq+SoNZuy5g1/kEAMD4Li6Y2YcPaBNR0Up8JSktLQ3Ozs4Anjx/lJaWBgDo1KkTTpw4UbrVERG9osc5+Ri5/ix2nU+AoYEMC99yx+y+zRmQiOiFShySXFxcEBcXBwBwc3PD9u3bATy5wlSrVq3SrI2I6JXcSc3G2yvP4J/baaipMML6AG8Mb+8kdVlEVEmU+Hbb6NGjER0dja5du2L27Nno168ffvrpJ6hUKixZsqQsaiQiKrGIO2kYtzECadn5cLQ0wfrR3nC15+hbIiq+V54n6c6dO4iIiECjRo3QunXr0qqrwuM8SUQV177o+5ixIxr5Kg1a1rXEulFesLUwkbosIqoAym2eJABwcnKCkxMvXxOR9IQQWHHsFr776xoAoJebHf5vWBuYyl/5nzoiqoZK/EwS8ORdbf3790ejRo3QuHFj9O/fH4cPHy7t2oiIiq1ArcHMnRe0AWlsJ2esGuHJgEREL63EIWnZsmXo06cPzM3NMWXKFEyePBkWFhbo27cvli1bVhY1EhEVKT23AAFB57A9/B4MZMD8gS3weX83GHIEGxG9ghI/k1S3bl3Mnj0bkyZN0lm+fPlyLFy4EPfv3y/VAisqPpNEVDHcTcvB6OAw3EzOgpncEMve80B3V1upyyKiCqok398lvpKUkZGBPn36FFru6+uLjIyMku6OiOilRcY/wlsrTuNmchbsLUywfYIPAxIRlZoSh6Q333wTu3fvLrT8999/x4ABA0qlKCKiFzl4MRHD1vyDlKx8uDlYYM/EjmjhaCl1WURUhZQ4JDVv3hwLFy5Ev3798PXXX+Prr79G//79sXDhQrRo0QJLly7VfopjxYoVcHZ2homJCTw9PXHy5Mki2x8/fhyenp4wMTGBi4sLVq1aVajNzp074ebmBoVCATc3N72h7qnAwEDIZDJMnTq1WPUSkbSEEFh9/BY+/PU8lCoNXne1xfYJPrC35BB/IipdJX4m6ekrSV64Y5kMt2/fLrLNtm3b4O/vjxUrVqBjx45YvXo1fv75Z8TExKBBgwaF2sfGxsLd3R3jxo3D+PHjcfr0aXz00UfYsmULBg8eDAAIDQ1F586dsWDBArz11lvYvXs3vvjiC5w6dQrt27fX2V9YWBiGDh0KCwsLdO/eHT/++GPxOgF8JolICgVqDb74/TK2nIsHAIzyccLn/d1gZPhSA3WJqBoqyff3K08m+Srat28PDw8PrFy5UrusefPmGDRoEAIDAwu1nzlzJvbu3YsrV65ol02YMAHR0dEIDQ0FAPj5+SEjIwMHDx7UtunTpw9q166NLVu2aJdlZWXBw8MDK1aswNdff402bdowJBFVYBl5BZj463mcvJECmQz4or8bRncs3v9pIyJ6qkwf3H4qJSUFqampL7s58vPzERERAV9fX53lvr6+OHPmjN5tQkNDC7Xv3bs3wsPDUVBQUGSbf+9z4sSJ6NevH3r27FmsepVKJTIyMnQ+RFQ+Eh7nYsjKUJy8kYIaxoZY4+/FgEREZa5EIenx48eYOHEirK2tYWdnB1tbW1hbW2PSpEl4/PhxiQ6ckpICtVoNOzs7neV2dnZISkrSu01SUpLe9iqVCikpKUW2eXafW7duxfnz5/VerXqewMBAWFpaaj/169cv9rZE9PIu3HuMQctP49qDTNiYK7B9vA96udm9eEMioldU7Klo09LS4OPjg4SEBAwfPhzNmzeHEAJXrlxBcHAwjhw5gjNnzqB27dolKkAm053sTQhRaNmL2v97eVH7vHv3LqZMmYJDhw7BxKT4D3rOnj0b06dP1/6ckZHBoERUxg5dTsLkrZHIK9DA1d4c6wK8UbdWDanLIqJqotghaf78+ZDL5bh161ahKzXz58+Hr68v5s+fjx9++KFY+7O2toahoWGhq0bJycmF9v+Uvb293vZGRkawsrIqss3TfUZERCA5ORmenp7a9Wq1GidOnMCyZcugVCphaGhY6NgKhQIKhaJY50ZEr0YIgfWn4/D1HzEQAujS1AbL32sLcxNjqUsjomqk2Lfb9uzZg++//15vgLG3t8fixYuLHGr/b3K5HJ6enggJCdFZHhISgg4dOujdxsfHp1D7Q4cOwcvLC8bGxkW2ebrPHj164OLFi4iKitJ+vLy8MHz4cERFRekNSERUflRqDb7cexkL9j8JSO+1b4D1o7wYkIio3BX7SlJiYiJatGjx3PXu7u7PfZboeaZPnw5/f394eXnBx8cHa9asQXx8PCZMmADgyS2uhIQEbNy4EcCTkWzLli3D9OnTMW7cOISGhmLdunU6o9amTJmCLl264Ntvv8XAgQPx+++/4/Dhwzh16hQAwNzcHO7u7jp1mJmZwcrKqtByIipfWUoVPt58Hn9fewiZDJjzRnO839m5yFvwRERlpdghydraGnFxcahXr57e9bGxsdpbXsXl5+eH1NRUzJ8/H4mJiXB3d8eBAwfg5OQE4Ekwi4+P17Z3dnbGgQMHMG3aNCxfvhyOjo5YunSpdo4kAOjQoQO2bt2Kzz77DJ9//jkaNWqEbdu2FZojiYgqlsT0XIwJDseVxAyYGBvgR7+26ONuL3VZRFSNFXuepLFjx+LmzZsICQmBXC7XWadUKtG7d280atQI69atK5NCKxrOk0RUei4lpGPshjA8yFDCuqYcP4/yRpv6taQui4iqoDKZTPLevXvw8vKCQqHAxIkT4erqCgCIiYnBihUroFQqER4eXm1GfDEkEZWOI1ce4OMtkcjJV6OJbU2sD/BG/TqmUpdFRFVUSb6/i327rV69eggNDcVHH32E2bNn6wy979WrF5YtW1ZtAhIRlY4NZ+Iwb99laATQqbE1lg/3gGUNPqBNRBVDsUMS8OSZoIMHD+LRo0e4ceMGAKBx48aoU6dOmRRHRFWTWiPw9R8xCDodBwDw86qPr99yhzHfwUZEFUiJQtJTtWvXRrt27Uq7FiKqBrKVKkzZGonDV5IBADP7uGJCVxeOYCOiCuelQhIR0ct4kJGHsRvCcCkhA3IjA/wwtA36tXKQuiwiIr0YkoioXFxJzMDY4DDcT89DHTM51o70gqdTyV5jRERUnhiSiKjMHbuWjEmbI5GlVKGRjRmCAtqhgRVHsBFRxcaQRERlatM/d/Dl3stQawR8XKywaoQnLE05go2IKj6GJCIqExqNQODBK1h7MhYA8I5nPXzzVkvIjTiCjYgqB4YkIip1uflqTN0Wib8uPwAAzOjVFJNeb8wRbERUqTAkEVGpSs7Mw7gN4Yi+lw65oQG+G9IKA9vUlbosIqISY0giolJz/UEmRgeFIeFxLmqbGmPNSC94N+Rks0RUOTEkEVGpOHUjBR9uikCmUgVnazOsD/CGs7WZ1GUREb00hiQiemVbz8Xjsz2XoNIItGtYB6v9PVHbTC51WUREr4QhiYhemkYj8N2ha1h57BYAYFAbR3z7TisojAwlroyI6NUxJBHRS8krUGPG9mj8cTERADClRxNM7dmEI9iIqMpgSCKiEkvJUmLcxnBExj+GsaEMi95uhcGe9aQui4ioVDEkEVGJ3EzOxOjgMNxNy4VlDWOs9vfEay5WUpdFRFTqGJKIqNjO3ErBhF8ikJGnQoM6pgga7Y1GNjWlLouIqEwwJBFRsfwWcQ+zdl6ASiPg6VQba/w9YVVTIXVZRERlhiGJiIokhMAPIdex9OhNAED/Vg74fkhrmBhzBBsRVW0MSUT0XHkFaszceQG/R90HAEzs3ggzejWDgQFHsBFR1ceQRER6pWXnY/wv4QiLewQjAxm+easlhnrXl7osIqJyw5BERIXcfpiFMcFhiEvNgbmJEVaN8ETHxtZSl0VEVK4YkohIx9nbqRi/KQKPcwpQr3YNBAV4o4mdudRlERGVO4YkItLaE5mAT3+7gHy1Bq3r18LPI71gY84RbERUPTEkERGEEFh65CZ+OHwdAPCGuz2WDG2DGnKOYCOi6oshiaiaU6rUmL3zInZFJgAAxnd1wczerhzBRkTVHkMSUTX2OCcf43+JwNnYNBgayLBgoDvea99A6rKIiCoEhiSiaupOajZGB4Xhdko2aiqMsGK4B7o0tZG6LCKiCoMhiagairiThnEbI5CWnQ9HSxOsH+0NV3sLqcsiIqpQGJKIqpl90fcxY0c08lUatKxriXWjvGBrYSJ1WUREFQ5DElE1IYTAimO38N1f1wAAvdzs8H/D2sBUzn8GiIj04b+ORNVAvkqDubsvYkfEPQDA+52cMbtvcxhyBBsR0XMxJBFVcem5BfhwUwTO3EqFgQyY92YL+Ps0lLosIqIKjyGJqAq7m5aD0cFhuJmcBTO5IZa954HurrZSl0VEVCkwJBFVUZHxjzBuYzhSsvJhb2GCdQFeaOFoKXVZRESVBkMSURV08GIipm6LglKlgZuDBdYHeMPekiPYiIhKgiGJqAoRQmDNidsIPHgVAPC6qy1+erctzBT8T52IqKT4LydRFVGg1uCL3y9jy7l4AMAoHyd8MaAFR7AREb0khiSiKiAjrwATfz2PkzdSIJMBX/R3w+iOzlKXRURUqTEkEVVyCY9zMSYoDNceZKKGsSGWvtsWvdzspC6LiKjSY0giqsQu3HuMsRvC8TBTCVtzBdaN8kbLehzBRkRUGhiSiCqpvy4nYcrWSOQVaOBqb471Ad5wrFVD6rKIiKoMhiSiSkYIgXWnYrHwwBUIAXRtaoNl77WFuYmx1KUREVUpDElElYhKrcG8fTH45Z87AIDh7Rtg3pstYGRoIHFlRERVD0MSUSWRpVTh483n8fe1h5DJgDlvNMf7nZ0hk3GIPxFRWWBIIqoEEtNzMSY4HFcSM2BibIAf/dqij7u91GUREVVpkl+jX7FiBZydnWFiYgJPT0+cPHmyyPbHjx+Hp6cnTExM4OLiglWrVhVqs3PnTri5uUGhUMDNzQ27d+/WWR8YGAhvb2+Ym5vD1tYWgwYNwrVr10r1vKh05Ks0yFdppC5DUpcS0jFo+WlcScyAdU0Ftn3gw4BERFQOJA1J27Ztw9SpUzF37lxERkaic+fOeOONNxAfH6+3fWxsLPr27YvOnTsjMjISc+bMweTJk7Fz505tm9DQUPj5+cHf3x/R0dHw9/fH0KFDcfbsWW2b48ePY+LEifjnn38QEhIClUoFX19fZGdnl/k5U/FlK1Xo9t3fGLzyjNSlSObIlQcYujoUDzKUaGpXE3smdkDr+rWkLouIqFqQCSGEVAdv3749PDw8sHLlSu2y5s2bY9CgQQgMDCzUfubMmdi7dy+uXLmiXTZhwgRER0cjNDQUAODn54eMjAwcPHhQ26ZPnz6oXbs2tmzZoreOhw8fwtbWFsePH0eXLl2KVXtGRgYsLS2Rnp4OCwuLYm1DJbMnMgFTt0VBJgNiA/tJXU65Cz4di/n7Y6ARQKfG1lgxwgMWHMFGRPRKSvL9LdmVpPz8fERERMDX11dnua+vL86c0X/lIDQ0tFD73r17Izw8HAUFBUW2ed4+ASA9PR0AUKdOnRKfB5Wd36MSpC5BEmqNwLx9l/HVvicByc+rPoJGezMgERGVM8ke3E5JSYFarYadne7rE+zs7JCUlKR3m6SkJL3tVSoVUlJS4ODg8Nw2z9unEALTp09Hp06d4O7u/tx6lUollEql9ueMjIwiz49ezaPsfJy8kSJ1GeUuW6nClK2ROHwlGQAws48rJnR14Qg2IiIJSD667d//+AshivxC0Nf+38tLss9JkybhwoULOHXqVJF1BgYGYt68eUW2odJz4FIiVBrJ7gRL4kFGHsZuCMOlhAzIjQzww9A26NfKQeqyiIiqLclut1lbW8PQ0LDQFZ7k5ORCV4Kesre319veyMgIVlZWRbbRt8+PP/4Ye/fuxd9//4169eoVWe/s2bORnp6u/dy9e/eF50gvb2/UfalLKFdXEjMwaPlpXErIgJWZHFvGvcaAREQkMclCklwuh6enJ0JCQnSWh4SEoEOHDnq38fHxKdT+0KFD8PLygrGxcZFtnt2nEAKTJk3Crl27cPToUTg7O7+wXoVCAQsLC50PlY2k9Dyci0uTuoxyc+xaMt5ZeQaJ6XloZGOG3R91hKdTbanLIiKq9iS93TZ9+nT4+/vDy8sLPj4+WLNmDeLj4zFhwgQAT67eJCQkYOPGjQCejGRbtmwZpk+fjnHjxiE0NBTr1q3TGbU2ZcoUdOnSBd9++y0GDhyI33//HYcPH9a5nTZx4kRs3rwZv//+O8zNzbVXniwtLVGjBl8QKrX9F+5DCKChlSniUnOkLqdMbfrnDr7cexlqjYCPixVWjfCEpSkf0CYiqggkDUl+fn5ITU3F/PnzkZiYCHd3dxw4cABOTk4AgMTERJ05k5ydnXHgwAFMmzYNy5cvh6OjI5YuXYrBgwdr23To0AFbt27FZ599hs8//xyNGjXCtm3b0L59e22bp1MOdOvWTaeeoKAgBAQElN0JU7HsjX5yq+3N1o5YevSmxNWUDY1GIPDgFaw9GQsAeMezHr55qyXkRpLP70pERP8j6TxJlRnnSSobsSnZ6P79MRgayPDH5E7o8+PJKjdPUm6+GlO3ReKvyw8AAP/xbYqJ3RtzBBsRUTkoyfe35KPbiJ61739XkTo2toaVmULiakpfcmYexm0IR/S9dMgNDfDdkFYY2Kau1GUREZEeDElUYQghdG61VTXXH2RidFAYEh7norapMdaM9IJ3Q05gSkRUUTEkUYVxJTETN5OzIDcyQO8WdsgrqDovtj11IwUfbopAplIFZ2szrA/whrO1mdRlERFRERiSqMJ4ehXp9Wa2MDcxRl6B8gVbVA5bz8Xjsz2XoNIItGtYB6v9PVHbTC51WURE9AIMSVQhaDRC+zzSm22qxq02jUbgu0PXsPLYLQDAoDaO+PadVlAYGUpcGRERFQdDElUI5+MfIeFxLmoqjPC6q63U5byyvAI1ZmyPxh8XEwEAU3o0wdSeTTiCjYioEmFIogrh6a02Xzc7mBhX7istKVlKjNsYjsj4xzA2lOHbwa3wtkfRr70hIqKKhyGJJKdSa3Dgf1dcBlTyW203kzMxOjgMd9NyYVnDGKv9PfGai5XUZRER0UtgSCLJnbmVipSsfNQ2NUanxtZSl/PSztxKwYRfIpCRp0KDOqYIGu2NRjY1pS6LiIheEkMSSe7prba+LR1gbFg5X8uxI/wuZu+6CJVGwNOpNtb4e8KqZtWbDJOIqDphSCJJ5RWo8delJy8YrowTSAohsCTkOn763zvm+rdywPdDWlf656qIiIghiSR27NpDZCpVcLA0qXSzT+cVqPHpbxe0V8Imdm+EGb2awcCAI9iIiKoChiSS1NO5kQa0dqxU4SItOx8fbAxH+J1HMDKQ4Zu3WmKod32pyyIiolLEkESSyVKqcPjKAwCV61bb7YdZGBMchrjUHJibGGHVCE90rMQPnBMRkX4MSSSZkJgkKFUauFiboYWjhdTlFMvZ26kYvykCj3MKUK92DQQFeKOJnbnUZRERURlgSCLJ7I36/7faKsNM1Lsj7+HT3y6gQC3Qpn4trB3pBRtzjmAjIqqqGJJIEmnZ+Th5IwVAxX9XmxAC/3fkBn48fAMA8Ia7PX7wa8MRbEREVRxDEkniwMVEqDQCLRwtKvSEi0qVGrN3XsSuyAQAwPiuLpjZ27VSPWROREQvhyGJJPF02HxFfmD7cU4+xv8SgbOxaTA0kGHBQHe8176B1GUREVE5YUiicpeYnouwuDQAQP8KGpLupGZjdFAYbqdko6bCCCuGe6BLUxupyyIionLEkETlbn90IoQAvBvWRt1aNaQup5DwuDR88EsE0rLzUbdWDawP8EYze45gIyKqbhiSqNxV5Ftte6Pv4z87opGv0qBlXUusG+UFWwsTqcsiIiIJMCRRuYpNycbFhHQYGsjQt6WD1OVoCSGw4tgtfPfXNQBALzc7/N+wNjCV8z8RIqLqit8AVK6ezo3UsbE1rGpWjDmG8lUazN19ETsi7gEA3u/kjNl9m8OQI9iIiKo1hiQqN0II7I1+MpR+YAW51ZaeW4APN0XgzK1UGMiAeW+2gL9PQ6nLIiKiCoAhicpNTGIGbj3MhsLIAL4t7KQuB3fTcjA6OAw3k7NgJjfEsvc80N3VVuqyiIiogmBIonLz9IHt111tYW5iLGkt5+MfYdyGcKRm58PewgTrA7zhVkneH0dEROWDIYnKhUYjsC+qYoxqO3AxEdO2RUGp0sDNwQLrA7xhb8kRbEREpIshicpFRPwj3E/PQ02FkWS3tIQQWHPiNgIPXgXw5IrWT++2hZmC/xkQEVFh/HagcvF0VJtvCztJXgxboNbgi98vY8u5eABAQIeG+Ly/G0ewERHRczEkUZlTqTU4cDERgDS32jLyCjDx1/M4eSMFBjLg8/5uGN3RudzrICKiyoUhicrc6VupSM3ORx0zOTo2ti7XY997lIMxwWG4/iALNYwN8dO7bdHTTfqRdUREVPExJFGZe3qrrW9LexgbGpTbcS/ce4yxG8LxMFMJW3MF1o3yRst6luV2fCIiqtwYkqhM5RWocehyEgDgzdZ1y+24f11OwpStkcgr0MDV3hzrA7zhWAFfpktERBUXQxKVqWPXkpGpVMHB0gReTrXL/HhCCKw7FYuFB65ACKBrUxsse6+t5PMyERFR5cOQRGXq6QSSA1o7wqCMR5Kp1BrM2xeDX/65AwAY3r4B5r3ZAkbleIuPiIiqDoYkKjOZeQU4ciUZQNmPastSqjBp83kcu/YQMhkwt29zjO3kDJmMQ/yJiOjlMCRRmQmJeQClSgMXGzO0KMNXfiSm52J0UBiuJmXCxNgAP/q1RR93+zI7HhERVQ8MSVRmnt5qe7O1Y5ld0bmUkI6xG8LwIEMJ65oKrBvlhdb1a5XJsYiIqHphSKIykZqlxMkbKQDK7lbbkSsP8PGWSOTkq9HUribWB3ijXm3TMjkWERFVPwxJVCYOXEqCWiPgXtcCLjY1S33/wadjMX9/DDQC6NzEGsuHe8CCI9iIiKgUMSRRmdgX9f9vtZUmtUZgwf4YBJ+JAwAM866PBYPcy3WSSiIiqh4YkqjU3X+ci3NxaQCA/q1KLyRlK1WYsjUSh/83Ym5mH1dM6OrCEWxERFQmGJKo1O2/8OQqUruGdUptlusHGXkYuyEMlxIyIDcywA9D26BfK4dS2TcREZE+DElU6rQTSLYpnatIQgCDlp9GYnoerMzkWDPSC57lMHs3ERFVbwxJVKpuP8zCpYQMGBrI0LcU5ypKTM9DIxszBAW0QwMrjmAjIqKyx5BEperpVaROja1hVVPxSvsyfOY1Jj4uVlg1whOWphzBRkRE5YMhiUqNEEIbkgaWwq22OmZyjO/iAkMDGab2bAq5EUewERFR+WFIolJz+X4Gbj/MhsLIAL4tSudW2+y+zUtlP0RERCUl+f81X7FiBZydnWFiYgJPT0+cPHmyyPbHjx+Hp6cnTExM4OLiglWrVhVqs3PnTri5uUGhUMDNzQ27d+9+5ePSi+3731WkHs1tUVPB/E1ERJWbpCFp27ZtmDp1KubOnYvIyEh07twZb7zxBuLj4/W2j42NRd++fdG5c2dERkZizpw5mDx5Mnbu3KltExoaCj8/P/j7+yM6Ohr+/v4YOnQozp49+9LHpRfTaITOu9qIiIgqO5kQQkh18Pbt28PDwwMrV67ULmvevDkGDRqEwMDAQu1nzpyJvXv34sqVK9plEyZMQHR0NEJDQwEAfn5+yMjIwMGDB7Vt+vTpg9q1a2PLli0vdVx9MjIyYGlpifT0dFhYlN4b7nPyVUjLzsezv5WnfxYQz/z56TrxzJ+1W+hp92R77Z+f2afuti93vFsPs/HpbxdgrjBC2Gc9YWJsWMIzJyIiKnsl+f6W7J5Ifn4+IiIiMGvWLJ3lvr6+OHPmjN5tQkND4evrq7Osd+/eWLduHQoKCmBsbIzQ0FBMmzatUJsff/zxpY8LAEqlEkqlUvtzRkbGC8/xZYTEPMCUrVFlsu/y4NvCngGJiIiqBMlCUkpKCtRqNezs7HSW29nZISkpSe82SUlJeturVCqkpKTAwcHhuW2e7vNljgsAgYGBmDdvXrHP72UZGRjAxPjJXVAZngyBl8mAp4Phn76CQ6b9H911Mn3LtH9+ehR97XSP93Tdv1/5IZM9u163vpomRvigi0uJz5mIiKgikvzp2n9/CQshinwXl772/15enH2W9LizZ8/G9OnTtT9nZGSgfv36z23/svq1cuDrNoiIiCoAyUKStbU1DA0NC129SU5OLnSV5yl7e3u97Y2MjGBlZVVkm6f7fJnjAoBCoYBC8WqTIxIREVHlIdnoNrlcDk9PT4SEhOgsDwkJQYcOHfRu4+PjU6j9oUOH4OXlBWNj4yLbPN3nyxyXiIiIqiEhoa1btwpjY2Oxbt06ERMTI6ZOnSrMzMxEXFycEEKIWbNmCX9/f23727dvC1NTUzFt2jQRExMj1q1bJ4yNjcVvv/2mbXP69GlhaGgoFi1aJK5cuSIWLVokjIyMxD///FPs4xZHenq6ACDS09NLoSeIiIioPJTk+1vSZ5L8/PyQmpqK+fPnIzExEe7u7jhw4ACcnJwAAImJiTpzFzk7O+PAgQOYNm0ali9fDkdHRyxduhSDBw/WtunQoQO2bt2Kzz77DJ9//jkaNWqEbdu2oX379sU+LhEREZGk8yRVZmU1TxIRERGVnZJ8f0v+WhIiIiKiioghiYiIiEgPhiQiIiIiPRiSiIiIiPRgSCIiIiLSgyGJiIiISA+GJCIiIiI9GJKIiIiI9GBIIiIiItJD0teSVGZPJyrPyMiQuBIiIiIqrqff28V54QhD0kvKzMwEANSvX1/iSoiIiKikMjMzYWlpWWQbvrvtJWk0Gty/fx/m5uaQyWSltt+MjAzUr18fd+/e5Tvhyhj7unywn8sH+7l8sJ/LT1n1tRACmZmZcHR0hIFB0U8d8UrSSzIwMEC9evXKbP8WFhb8D7CcsK/LB/u5fLCfywf7ufyURV+/6ArSU3xwm4iIiEgPhiQiIiIiPRiSKhiFQoEvv/wSCoVC6lKqPPZ1+WA/lw/2c/lgP5efitDXfHCbiIiISA9eSSIiIiLSgyGJiIiISA+GJCIiIiI9GJKIiIiI9GBIqmBWrFgBZ2dnmJiYwNPTEydPnpS6pAorMDAQ3t7eMDc3h62tLQYNGoRr167ptBFC4KuvvoKjoyNq1KiBbt264fLlyzptlEolPv74Y1hbW8PMzAxvvvkm7t27p9Pm0aNH8Pf3h6WlJSwtLeHv74/Hjx+X9SlWSIGBgZDJZJg6dap2Gfu5dCQkJGDEiBGwsrKCqakp2rRpg4iICO169nPpUKlU+Oyzz+Ds7IwaNWrAxcUF8+fPh0aj0bZhX5fciRMnMGDAADg6OkImk2HPnj0668uzT+Pj4zFgwACYmZnB2toakydPRn5+fslPSlCFsXXrVmFsbCzWrl0rYmJixJQpU4SZmZm4c+eO1KVVSL179xZBQUHi0qVLIioqSvTr1080aNBAZGVladssWrRImJubi507d4qLFy8KPz8/4eDgIDIyMrRtJkyYIOrWrStCQkLE+fPnRffu3UXr1q2FSqXStunTp49wd3cXZ86cEWfOnBHu7u6if//+5Xq+FcG5c+dEw4YNRatWrcSUKVO0y9nPry4tLU04OTmJgIAAcfbsWREbGysOHz4sbt68qW3Dfi4dX3/9tbCyshL79+8XsbGxYseOHaJmzZrixx9/1LZhX5fcgQMHxNy5c8XOnTsFALF7926d9eXVpyqVSri7u4vu3buL8+fPi5CQEOHo6CgmTZpU4nNiSKpA2rVrJyZMmKCzzNXVVcyaNUuiiiqX5ORkAUAcP35cCCGERqMR9vb2YtGiRdo2eXl5wtLSUqxatUoIIcTjx4+FsbGx2Lp1q7ZNQkKCMDAwEH/++acQQoiYmBgBQPzzzz/aNqGhoQKAuHr1anmcWoWQmZkpmjRpIkJCQkTXrl21IYn9XDpmzpwpOnXq9Nz17OfS069fPzFmzBidZW+//bYYMWKEEIJ9XRr+HZLKs08PHDggDAwMREJCgrbNli1bhEKhEOnp6SU6D95uqyDy8/MREREBX19fneW+vr44c+aMRFVVLunp6QCAOnXqAABiY2ORlJSk06cKhQJdu3bV9mlERAQKCgp02jg6OsLd3V3bJjQ0FJaWlmjfvr22zWuvvQZLS8tq9buZOHEi+vXrh549e+osZz+Xjr1798LLywtDhgyBra0t2rZti7Vr12rXs59LT6dOnXDkyBFcv34dABAdHY1Tp06hb9++ANjXZaE8+zQ0NBTu7u5wdHTUtunduzeUSqXO7evi4AtuK4iUlBSo1WrY2dnpLLezs0NSUpJEVVUeQghMnz4dnTp1gru7OwBo+01fn965c0fbRi6Xo3bt2oXaPN0+KSkJtra2hY5pa2tbbX43W7duxfnz5xEWFlZoHfu5dNy+fRsrV67E9OnTMWfOHJw7dw6TJ0+GQqHAyJEj2c+laObMmUhPT4erqysMDQ2hVquxcOFCvPvuuwD4d7oslGefJiUlFTpO7dq1IZfLS9zvDEkVjEwm0/lZCFFoGRU2adIkXLhwAadOnSq07mX69N9t9LWvLr+bu3fvYsqUKTh06BBMTEye2479/Go0Gg28vLzwzTffAADatm2Ly5cvY+XKlRg5cqS2Hfv51W3btg2bNm3C5s2b0aJFC0RFRWHq1KlwdHTEqFGjtO3Y16WvvPq0tPqdt9sqCGtraxgaGhZKucnJyYUSMen6+OOPsXfvXvz999+oV6+edrm9vT0AFNmn9vb2yM/Px6NHj4ps8+DBg0LHffjwYbX43URERCA5ORmenp4wMjKCkZERjh8/jqVLl8LIyEjbB+znV+Pg4AA3NzedZc2bN0d8fDwA/n0uTZ988glmzZqFYcOGoWXLlvD398e0adMQGBgIgH1dFsqzT+3t7Qsd59GjRygoKChxvzMkVRByuRyenp4ICQnRWR4SEoIOHTpIVFXFJoTApEmTsGvXLhw9ehTOzs46652dnWFvb6/Tp/n5+Th+/Li2Tz09PWFsbKzTJjExEZcuXdK28fHxQXp6Os6dO6dtc/bsWaSnp1eL302PHj1w8eJFREVFaT9eXl4YPnw4oqKi4OLiwn4uBR07diw0hcX169fh5OQEgH+fS1NOTg4MDHS//gwNDbVTALCvS1959qmPjw8uXbqExMREbZtDhw5BoVDA09OzZIWX6DFvKlNPpwBYt26diImJEVOnThVmZmYiLi5O6tIqpA8//FBYWlqKY8eOicTERO0nJydH22bRokXC0tJS7Nq1S1y8eFG8++67eoec1qtXTxw+fFicP39evP7663qHnLZq1UqEhoaK0NBQ0bJlyyo7jLc4nh3dJgT7uTScO3dOGBkZiYULF4obN26IX3/9VZiamopNmzZp27CfS8eoUaNE3bp1tVMA7Nq1S1hbW4tPP/1U24Z9XXKZmZkiMjJSREZGCgBiyZIlIjIyUjuNTXn16dMpAHr06CHOnz8vDh8+LOrVq8cpAKqC5cuXCycnJyGXy4WHh4d2ODsVBkDvJygoSNtGo9GIL7/8Utjb2wuFQiG6dOkiLl68qLOf3NxcMWnSJFGnTh1Ro0YN0b9/fxEfH6/TJjU1VQwfPlyYm5sLc3NzMXz4cPHo0aNyOMuK6d8hif1cOvbt2yfc3d2FQqEQrq6uYs2aNTrr2c+lIyMjQ0yZMkU0aNBAmJiYCBcXFzF37lyhVCq1bdjXJff333/r/Td51KhRQojy7dM7d+6Ifv36iRo1aog6deqISZMmiby8vBKfk0wIIUp27YmIiIio6uMzSURERER6MCQRERER6cGQRERERKQHQxIRERGRHgxJRERERHowJBERERHpwZBEREREpAdDEhGVuYCAAAwaNEjqMiqt/Px8NG7cGKdPny73Y7/zzjtYsmRJuR+XqCJgSCIiBAQEQCaTQSaTwdjYGC4uLvjPf/6D7OxsqUsDAHz11Vdo06ZNsdo9PY9nP66urmVfZBlas2YNnJyc0LFjR+0ymUyGPXv2aH8uKCjAsGHD4ODggAsXLhS5v4iICMhkMpw6dUrv+t69e+PNN98EAHzxxRdYuHAhMjIyXv1EiCoZhiQiAgD06dMHiYmJuH37Nr7++musWLEC//nPf6Quq8RatGiBxMREnc/zwkBpyc/PL9P9//TTT3j//fefuz4nJwdvvvkmwsLCcOrUKbRq1arI/Xl6eqJ169YICgoqtO7u3bs4fPgwxo4dCwBo1aoVGjZsiF9//fXVToKoEmJIIiIAgEKhgL29PerXr4/33nsPw4cP116p2LRpE7y8vGBubg57e3u89957SE5O1tn+8uXL6NevHywsLGBubo7OnTvj1q1beo8VEREBW1tbLFy4EACQnp6ODz74ALa2trCwsMDrr7+O6OhoAEBwcDDmzZuH6Oho7ZWh4ODg556HkZER7O3tdT7W1tba9Q0bNsQ333yDMWPGwNzcHA0aNMCaNWt09pGQkAA/Pz/Url0bVlZWGDhwIOLi4rTrn94+DAwMhKOjI5o2bQoAOHPmDNq0aQMTExN4eXlhz549kMlkiIqKghACjRs3xvfff69zrEuXLsHAwOC5fXX+/HncvHkT/fr107v+8ePH8PX1RUJCAk6dOoVGjRoBAIQQWLx4MVxcXFCjRg20bt0av/32m3a7sWPHYvv27YWuFgYHB8PGxkbneG+++Sa2bNnyvC4nqrIYkohIrxo1aqCgoADAkyslCxYsQHR0NPbs2YPY2FgEBARo2yYkJKBLly4wMTHB0aNHERERgTFjxkClUhXa77Fjx9CjRw/MmzcPc+fOhRAC/fr1Q1JSEg4cOICIiAh4eHigR48eSEtLg5+fH2bMmKFzhcjPz++Vzu2///0vvLy8EBkZiY8++ggffvghrl69CuDJVZnu3bujZs2aOHHiBE6dOoWaNWuiT58+OleMjhw5gitXriAkJAT79+9HZmYmBgwYgJYtW+L8+fNYsGABZs6cqW0vk8kwZsyYQldv1q9fj86dO2vDzb+dOHECTZs2hYWFRaF1SUlJ6Nq1KzQaDY4fPw4HBwftus8++wxBQUFYuXIlLl++jGnTpmHEiBE4fvw4AGD48OEoKCjAjh07tNsIIRAcHIxRo0bByMhIu7xdu3Y4d+4clEplSbqZqPIr8StxiajKGTVqlBg4cKD257NnzworKysxdOhQve3PnTsnAIjMzEwhhBCzZ88Wzs7OIj8/v8j979mzR5ibm4vNmzdr1x05ckRYWFgUekN3o0aNxOrVq4UQQnz55ZeidevWLzyPL7/8UhgYGAgzMzOdz9ixY7VtnJycxIgRI7Q/azQaYWtrK1auXCmEEGLdunWiWbNmQqPRaNsolUpRo0YN8ddff2nPx87OTuet8StXrhRWVlYiNzdXu2zt2rUCgIiMjBRCCHH//n1haGgozp49K4QQIj8/X9jY2Ijg4ODnntOUKVPE66+/Xmg5ACGXy4Wrq6vIzs7WWZeVlSVMTEzEmTNndJaPHTtWvPvuu9qf/fz8RJcuXbQ/Hz16VAAQV69e1dkuOjpaABBxcXHPrZOoKjIqMkERUbWxf/9+1KxZEyqVCgUFBRg4cCB++uknAEBkZCS++uorREVFIS0tDRqNBgAQHx8PNzc3REVFoXPnzjA2Nn7u/s+ePYv9+/djx44deOutt7TLIyIikJWVBSsrK532ubm5z70FVZRmzZph7969OsvMzc11fn72mR2ZTAZ7e3vt7cOIiAjcvHmz0DZ5eXk69bRs2RJyuVz787Vr19CqVSuYmJhol7Vr105nHw4ODujXrx/Wr1+Pdu3aYf/+/cjLy8OQIUOeez65ubk6+3zWgAEDsHv3bqxevRrTpk3TLo+JiUFeXh569eql0z4/Px9t27bV/jx27Fj4+vri5s2baNy4MdavX4+OHTuiWbNmOtvVqFEDwJOrbETVCUMSEQEAunfvjpUrV8LY2BiOjo7awJOdnQ1fX1/4+vpi06ZNsLGxQXx8PHr37q29/fT0S7QojRo1gpWVFdavX49+/fppA4ZGo4GDgwOOHTtWaJtatWqV+DzkcjkaN25cZJt/hzmZTKYNfhqNBp6ennofVLaxsdH+2czMTGedEAIymazQsn97//334e/vjx9++AFBQUHw8/ODqanpc2u1trbGxYsX9a4bMWIE3nzzTYwZMwZqtVr7oP3Tc/njjz9Qt25dnW0UCoX2zz179oSTkxOCg4Px6aefYteuXVi2bFmh46SlpRU6f6LqgCGJiAA8+dLXFy6uXr2KlJQULFq0CPXr1wcAhIeH67Rp1aoVNmzYgIKCgudeTbK2tsauXbvQrVs3+Pn5Yfv27TA2NoaHhweSkpJgZGSEhg0b6t1WLpdDrVa/2gkWk4eHB7Zt26Z9iLy4XF1d8euvv0KpVGqDyL/7CQD69u0LMzMzrFy5EgcPHsSJEyeK3G/btm2xcuVKvSEMAEaOHAlDQ0OMGjUKGo0Gn376Kdzc3KBQKBAfH4+uXbs+d98ymQyjR4/Gzz//jHr16sHAwABDhw4t1O7SpUuoV6+ezgPwRNUBH9wmoiI1aNAAcrkcP/30E27fvo29e/diwYIFOm0mTZqEjIwMDBs2DOHh4bhx4wZ++eUXXLt2Taedra0tjh49iqtXr+Ldd9+FSqVCz5494ePjg0GDBuGvv/5CXFwczpw5g88++0wbMho2bIjY2FhERUUhJSWlyAeIVSoVkpKSdD4PHjwo9vkOHz4c1tbWGDhwIE6ePInY2FgcP34cU6ZMwb1795673XvvvQeNRoMPPvgAV65cwV9//aUdyfZsuDE0NERAQABmz56Nxo0bw8fHp8h6unfvjuzsbFy+fLnImn/55RfMmTMHixYtgrm5Of7zn/9g2rRp2LBhA27duoXIyEgsX74cGzZs0Nl29OjRuH//PubMmYNhw4YVukIGACdPnoSvr2+RdRJVRQxJRFQkGxsbBAcHY8eOHXBzc8OiRYsKDWO3srLC0aNHkZWVha5du8LT0xNr167Ve1XJ3t4eR48excWLFzF8+HBoNBocOHAAXbp0wZgxY9C0aVMMGzYMcXFxsLOzAwAMHjwYffr0Qffu3WFjY1PkcPTLly/DwcFB5+Pk5FTs8zU1NcWJEyfQoEEDvP3222jevDnGjBmD3NzcIq8sWVhYYN++fYiKikKbNm0wd+5cfPHFFwBQ6JmisWPHIj8/H2PGjHlhPVZWVnj77bdfOE/Ru+++i82bN+Pzzz/HN998gwULFuCLL75AYGAgmjdvjt69e2Pfvn1wdnbW2a5Bgwbo2bMnHj16pLeevLw87N69G+PGjXthrURVjUzou2lORESv7Ndff8Xo0aORnp6u89zW6dOn0a1bN9y7d08bBIty8eJF9OzZU+8D5WVt+fLl+P3333Ho0KFyPS5RRcBnkoiISsnGjRvh4uKCunXrIjo6GjNnzsTQoUO1AUmpVOLu3bv4/PPPMXTo0GIFJODJSLrFixcjLi4OLVu2LMtTKMTY2Fg7ypGouuGVJCKiUrJ48WKsWLECSUlJcHBwwKBBg7Bw4ULt6LXg4GCMHTsWbdq0wd69ewuNPCOiioUhiYiIiEgPPrhNREREpAdDEhEREZEeDElEREREejAkEREREenBkERERESkB0MSERERkR4MSURERER6MCQRERER6cGQRERERKTH/wMEPEaSBUVu8gAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# The pair creation opacity function takes the packet energy, the ejecta density and the fraction of iron group elements\n", + "ejecta_density = 1\n", + "x_ige = 0.05\n", + "\n", + "# The pair creation function takes in one packet at a time, so we loop through the energy array to find the opacities at a given density and iron group fraction\n", + "pair_creation_opacities = np.zeros(len(energies))\n", + "for i in range(len(energies)):\n", + " pair_creation_opacities[i] = pair_creation_opacity_calculation(energy=energies[i], ejecta_density=ejecta_density, iron_group_fraction=x_ige)\n", + "\n", + "# We can then plot the opacity \n", + "plt.plot(energies, pair_creation_opacities)\n", + "plt.xlabel(\"Packet Energy (KeV)\")\n", + "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.title(\"Pair Production Opacity\")" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Compton Scattering Opacity')" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# The compton opacity function takes the packet energy and the electron density\n", + "electron_density = 1\n", + "\n", + "compton_opacities = compton_opacity_calculation(energies, electron_density)\n", + "\n", + "plt.plot(energies, compton_opacities)\n", + "plt.xlabel(\"Packet energies (KeV)\")\n", + "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.title(\"Compton Scattering Opacity\")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(5.0, 50.0)" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# The photoabsorption opacity function takes in the packet energy, ejecta density and the fraction of iron group elements\n", + "photoabsorption_opacities = photoabsorption_opacity_calculation(energy= energies, ejecta_density=ejecta_density, iron_group_fraction=x_ige)\n", + "\n", + "plt.plot(energies, photoabsorption_opacities)\n", + "plt.xlabel(\"Packet energies (KeV)\")\n", + "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.title(\"Photoabsorption Opacity\")\n", + "plt.xlim(5,50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The different forms of opacity are dominant at different energies which is evident when the opacities are plotted together." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "total_opacity = pair_creation_opacities + compton_opacities + photoabsorption_opacities\n", + "\n", + "plt.plot(energies, pair_creation_opacities, label = \"Pair Creation\")\n", + "plt.plot(energies, compton_opacities, label= \"Compton Scattering\")\n", + "plt.plot(energies, photoabsorption_opacities, label= \"Photoabsorption\")\n", + "plt.plot(energies, total_opacity, label = \"Total\")\n", + "plt.xlabel(\"Packet energies (KeV)\")\n", + "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.title(\"Sources of Opacity at Different Energies\")\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.xlim(left = 100)\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Fraction of Total Opacity')" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "frac_pair_creation = pair_creation_opacities / total_opacity\n", + "frac_compton_scattering = compton_opacities / total_opacity\n", + "frac_photoabsorption = photoabsorption_opacities / total_opacity\n", + "\n", + "plt.plot(energies, frac_pair_creation, label = \"Pair Creation\")\n", + "plt.plot(energies, frac_compton_scattering, label = \"Compton Scattering\")\n", + "plt.plot(energies, frac_photoabsorption, label = \"Photoabsorption\")\n", + "plt.xscale(\"log\")\n", + "plt.xlim(left = 100)\n", + "plt.legend()\n", + "plt.xlabel(\"Packet energies (KeV)\")\n", + "plt.ylabel(\"Fraction of Total Opacity\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "tardis", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/physics/tardisgamma/opacities.rst b/docs/physics/tardisgamma/opacities.rst deleted file mode 100644 index 88cd62919a9..00000000000 --- a/docs/physics/tardisgamma/opacities.rst +++ /dev/null @@ -1,81 +0,0 @@ -****************** -Sources of Opacity -****************** -Within the ejecta there are several sources of opacity for the :math:`\gamma`-rays that we need to take into account. - -Pair Creation -============= -This form of opacity is dominant when the energy of the :math:`\gamma`-ray is greater than or equal to :math:`2m_e c^2`. -It occurs when a :math:`\gamma`-ray passes a nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. -The photon packet keeps its energy but is sent into a new direction. -The pair-production coefficients are: - -.. math:: - - \alpha_{pp}(1.5 < h\nu < 1.022) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}]1.0063(h\nu - 1.022) \times 10^{-27} - - \alpha_{pp}(h\nu \geq 1.5) = \rho [ \frac{Z_{\text{Si}}^2}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + \frac{Z_{\text{Fe}}^2}{m_{\text{Fe}}} X_{\text{IGE}}] [0.481 + 0.301(h\nu - 1.5)] \times 10^{-27} - -:math:`\rho` is the mass density of the ejecta and :math:`X_{\text{IGE}}` is the mass fraction of Fe-group elements. - -.. figure:: images/pair_production_coefficient.png - -Compton Scattering -================== -Compton scattering is inelastic scattering that occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. -This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons. -To find the energy of the scattered photon we use the equation we multiply the initial energy with the compton fraction :math:`f_C` - -.. math:: - - f_C = \frac{1}{1 + x(1 - \cos{\theta})} - -Where :math:`\theta` is the angle the photon is scattered at and :math:`x = \frac{h \nu}{m_e c^2}` - -The partial cross section from 0 to :math:`\theta` in terms of f is: - -.. math:: - - \sigma(f) = \frac{3 \sigma_T}{8x} \frac{\left( x^2 - 2x - 2 \right) \ln(f)}{x^2} + \frac{f^2 - 1}{2f^2} + \frac{f - 1}{x} [\frac{1}{x} + 2f + \frac{1}{xf}] - -Where f can range from 1 to 1+2x and :math:`\sigma_T` is the Thomson scattering cross section. - -The scattering angle is given by: - -.. math:: - - \theta_C = \cos^{-1}({1 - \frac{f-1}{x}}) - - -The total integrated Compton scattering coeffcient is: - -.. math:: - - \alpha_C = n_e \frac{3}{4} \sigma_T [\frac{1+x}{x^3} (\frac{2x(1 + x)}{1 + 2x} - \ln(1 + 2x)) + \frac{1}{2x} \ln(1 + 2x) - \frac{1 + 3x}{(1 + 2x)^2}] - -Where :math:`n_e` is the number density of electrons. - -.. figure:: images/compton_scattering_coefficient.png - -The direction vector is then rotated by :math:`\theta` to get the new direction and the frequency is updated. - -Photoabsorption -=============== -This occurs when the photon is completely absorbed by a material. We assume that the :math:`\gamma`-ray deposits all of its energy when this occurs. -The coefficient is: - -.. math:: - - \alpha_{pa}(\nu) = 1.16 \times 10^{-24} (h\nu)^{-3.13} \frac{\rho}{m_{\text{Si}}} (1 - X_{\text{IGE}}) + 25.7 \times 10^{-24} (h\nu)^{-3} \frac{\rho}{m_{\text{Fe}}} X_{\text{IGE}} - -.. figure:: images/photoabsorption_coefficient.png - - - -Each source of opacity is dominant in different energy ranges. We can see this when all three coefficients are plotted together: - -.. figure:: images/all_coeffs.png - -We can also look at the fraction of the total absorption coefficient that each source of opacity takes up in different energy levels: - -.. figure:: images/coeff_fractions.png \ No newline at end of file From 28a4c90fd2cbf921fae8d1500311c3a20b167338 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Mon, 10 Feb 2025 21:08:33 -0500 Subject: [PATCH 13/18] Changed denisities and fixed y labels --- docs/physics/tardisgamma/opacities.ipynb | 56 +++++++++++------------- 1 file changed, 25 insertions(+), 31 deletions(-) diff --git a/docs/physics/tardisgamma/opacities.ipynb b/docs/physics/tardisgamma/opacities.ipynb index 2e111c502a9..88e1da0755e 100644 --- a/docs/physics/tardisgamma/opacities.ipynb +++ b/docs/physics/tardisgamma/opacities.ipynb @@ -102,7 +102,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -134,13 +134,13 @@ "Text(0.5, 1.0, 'Pair Production Opacity')" ] }, - "execution_count": 23, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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    " ] @@ -151,7 +151,7 @@ ], "source": [ "# The pair creation opacity function takes the packet energy, the ejecta density and the fraction of iron group elements\n", - "ejecta_density = 1\n", + "ejecta_density = 1e-10\n", "x_ige = 0.05\n", "\n", "# The pair creation function takes in one packet at a time, so we loop through the energy array to find the opacities at a given density and iron group fraction\n", @@ -162,13 +162,14 @@ "# We can then plot the opacity \n", "plt.plot(energies, pair_creation_opacities)\n", "plt.xlabel(\"Packet Energy (KeV)\")\n", - "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", + "plt.xlim(right= 5000)\n", "plt.title(\"Pair Production Opacity\")" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -177,13 +178,13 @@ "Text(0.5, 1.0, 'Compton Scattering Opacity')" ] }, - "execution_count": 24, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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    " ] @@ -194,19 +195,19 @@ ], "source": [ "# The compton opacity function takes the packet energy and the electron density\n", - "electron_density = 1\n", + "electron_density = 3e13\n", "\n", "compton_opacities = compton_opacity_calculation(energies, electron_density)\n", "\n", "plt.plot(energies, compton_opacities)\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", "plt.title(\"Compton Scattering Opacity\")" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -215,13 +216,13 @@ "(5.0, 50.0)" ] }, - "execution_count": 25, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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    " ] @@ -236,7 +237,7 @@ "\n", "plt.plot(energies, photoabsorption_opacities)\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", "plt.title(\"Photoabsorption Opacity\")\n", "plt.xlim(5,50)" ] @@ -250,22 +251,22 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 26, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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    " ] @@ -282,7 +283,7 @@ "plt.plot(energies, photoabsorption_opacities, label= \"Photoabsorption\")\n", "plt.plot(energies, total_opacity, label = \"Total\")\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(\"Opacity (cm^-1)\")\n", + "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", "plt.title(\"Sources of Opacity at Different Energies\")\n", "plt.yscale(\"log\")\n", "plt.xscale(\"log\")\n", @@ -292,7 +293,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -301,13 +302,13 @@ "Text(0, 0.5, 'Fraction of Total Opacity')" ] }, - "execution_count": 27, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
    " ] @@ -330,13 +331,6 @@ "plt.xlabel(\"Packet energies (KeV)\")\n", "plt.ylabel(\"Fraction of Total Opacity\")" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From fe6991e51802307b4b9638a9b1c465602aaa58c3 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Tue, 18 Feb 2025 11:49:52 -0500 Subject: [PATCH 14/18] Changed values of density and fixed typos --- docs/physics/tardisgamma/opacities.ipynb | 140 ++++++++++++++--------- 1 file changed, 89 insertions(+), 51 deletions(-) diff --git a/docs/physics/tardisgamma/opacities.ipynb b/docs/physics/tardisgamma/opacities.ipynb index 88e1da0755e..49826aa28da 100644 --- a/docs/physics/tardisgamma/opacities.ipynb +++ b/docs/physics/tardisgamma/opacities.ipynb @@ -19,17 +19,17 @@ "source": [ "## Pair Creation\n", "\n", - "This form of opacity is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", - "It occurs when a $\\gamma$-ray passes a nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", + "Pair Creation is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", + "It occurs when a $\\gamma$-ray interacts with an atomic nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", "The photon packet keeps its energy but is sent into a new direction.\n", - "The pair-production coefficients are:\n", + "The pair-production coefficients ($cm^{-1}$) are:\n", "\n", "$$\n", "\\alpha_{pp}(1.5 < h\\nu < 1.022) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022) \\times 10^{-27}\n", "$$\n", "\n", "$$\n", - "\\alpha_{pp}(h\\nu \\geq 1.5) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] \\left[ 0.481 + 0.301(h\\nu - 1.5) \\right] \\times 10^{-27}\n", + "\\alpha_{pp}(h\\nu \\geq 1.5) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] \\left[ 0.0481 + 0.301(h\\nu - 1.5) \\right] \\times 10^{-27}\n", "$$\n", "\n", "\n", @@ -42,12 +42,12 @@ "source": [ "## Compton Scattering\n", "\n", - "Compton scattering is inelastic scattering that occurs when a high frequency photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. \n", + "Compton scattering is inelastic scattering that occurs when a high energy photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. \n", "This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons.\n", - "To find the energy of the scattered photon we use the equation we multiply the initial energy with the compton fraction $f_C$\n", + "A high energy photon with an energy $e$ after scattering through an angle $\\theta$ loses its energy by the fraction $f$.\n", "\n", "$$\n", - "f_C = \\frac{1}{1 + x(1 - \\cos{\\theta})}\n", + "f = \\frac{1}{1 + x(1 - \\cos{\\theta})}\n", "$$\n", "\n", "Where $\\theta$ is the angle the photon is scattered at and $x = \\frac{h \\nu}{m_e c^2}$\n", @@ -55,15 +55,15 @@ "The partial cross section from 0 to $\\theta$ in terms of f is:\n", "\n", "$$\n", - "\\sigma(f) = \\frac{3 \\sigma_T}{8x} \\frac{\\left( x^2 - 2x - 2 \\right) \\ln(f)}{x^2} + \\frac{f^2 - 1}{2f^2} + \\frac{f - 1}{x} [\\frac{1}{x} + 2f + \\frac{1}{xf}]\n", + "\\sigma(f) = \\frac{3 \\sigma_T}{8x} \\frac{\\left( x^2 - 2x - 2 \\right) \\ln(f)}{x^2} + \\frac{f^2 - 1}{2f^2} + \\frac{f - 1}{x} [\\frac{1}{x} + \\frac{2}{f} + \\frac{1}{xf}]\n", "$$\n", " \n", - "Where $f$ can range from $1$ to $1+2x$ and $\\sigma_T$ is the Thomson scattering cross section.\n", + "Where $f$ can range from $1$ to $\\frac{1}{1+2x}$ and $\\sigma_T$ is the Thomson scattering cross section.\n", "\n", "The scattering angle is given by:\n", "\n", "$$\n", - "\\theta_C = \\cos^{-1}({1 - \\frac{f-1}{x}})\n", + "\\theta = \\cos^{-1}({1 - \\frac{f-1}{x}})\n", "$$\n", "\n", "The total integrated Compton scattering coeffcient is:\n", @@ -72,9 +72,7 @@ "\\alpha_C = n_e \\frac{3}{4} \\sigma_T [\\frac{1+x}{x^3} (\\frac{2x(1 + x)}{1 + 2x} - \\ln(1 + 2x)) + \\frac{1}{2x} \\ln(1 + 2x) - \\frac{1 + 3x}{(1 + 2x)^2}]\n", "$$\n", "\n", - "Where $n_e$ is the number density of electrons.\n", - "\n", - "The direction vector is then rotated by $\\theta$ to get the new direction and the frequency is updated." + "Where $n_e$ is the number density of electrons.\n" ] }, { @@ -102,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -110,7 +108,24 @@ "import matplotlib.pyplot as plt\n", "from tardis.opacities.opacities import compton_opacity_calculation\n", "from tardis.opacities.opacities import photoabsorption_opacity_calculation\n", - "from tardis.opacities.opacities import pair_creation_opacity_calculation" + "from tardis.opacities.opacities import pair_creation_opacity_calculation\n", + "%config InlineBackend.figure_format = 'retina'" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "energies = np.arange(10, 10000, 0.01) # in KeV" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The values are taken from the $k^{th}$ shell at time $t_i$" ] }, { @@ -119,8 +134,9 @@ "metadata": {}, "outputs": [], "source": [ - "# Creating an array of packet energies from 100 KeV to 10000 KeV\n", - "energies = np.arange(10, 10000, 0.01)" + "ejecta_density = 1.25e-10 # g/cm^3\n", + "electron_density = 3.57e11 # cm^-3\n", + "x_ige = 0.01" ] }, { @@ -131,7 +147,7 @@ { "data": { "text/plain": [ - "Text(0.5, 1.0, 'Pair Production Opacity')" + "Text(0.5, 1.0, 'Pair Creation Absorption Coefficient')" ] }, "execution_count": 4, @@ -140,21 +156,21 @@ }, { "data": { - "image/png": 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    " ] }, - "metadata": {}, + "metadata": { + "image/png": { + "height": 454, + "width": 590 + } + }, "output_type": "display_data" } ], "source": [ - "# The pair creation opacity function takes the packet energy, the ejecta density and the fraction of iron group elements\n", - "ejecta_density = 1e-10\n", - "x_ige = 0.05\n", - "\n", - "# The pair creation function takes in one packet at a time, so we loop through the energy array to find the opacities at a given density and iron group fraction\n", "pair_creation_opacities = np.zeros(len(energies))\n", "for i in range(len(energies)):\n", " pair_creation_opacities[i] = pair_creation_opacity_calculation(energy=energies[i], ejecta_density=ejecta_density, iron_group_fraction=x_ige)\n", @@ -162,9 +178,9 @@ "# We can then plot the opacity \n", "plt.plot(energies, pair_creation_opacities)\n", "plt.xlabel(\"Packet Energy (KeV)\")\n", - "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", + "plt.ylabel(r\"$\\alpha_{pp}$ (cm$^{-1}$)\")\n", "plt.xlim(right= 5000)\n", - "plt.title(\"Pair Production Opacity\")" + "plt.title(\"Pair Creation Absorption Coefficient\")" ] }, { @@ -175,7 +191,7 @@ { "data": { "text/plain": [ - "Text(0.5, 1.0, 'Compton Scattering Opacity')" + "Text(0.5, 1.0, 'Compton Scattering Absorption Coefficient')" ] }, "execution_count": 5, @@ -184,25 +200,27 @@ }, { "data": { - "image/png": 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", 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", 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    " ] }, - "metadata": {}, + "metadata": { + "image/png": { + "height": 454, + "width": 570 + } + }, "output_type": "display_data" } ], "source": [ - "# The compton opacity function takes the packet energy and the electron density\n", - "electron_density = 3e13\n", - "\n", "compton_opacities = compton_opacity_calculation(energies, electron_density)\n", "\n", "plt.plot(energies, compton_opacities)\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", - "plt.title(\"Compton Scattering Opacity\")" + "plt.ylabel(r\"$\\alpha_{C}$ (cm$^{-1}$)\")\n", + "plt.title(\"Compton Scattering Absorption Coefficient\")" ] }, { @@ -222,12 +240,17 @@ }, { "data": { - "image/png": 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", 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uv/xyrV69Wi1btjRd/7777pMkffXVV0pISJB0fq60ostAX9C+ffty70dJ/v3vf+vRRx+1b/v7+2vQoEFq1qyZUlNTtXTpUp0+fVoFBQV65ZVXdPToUX355Zdl9qC8YObMmXr66aclnZ+LpkOHDvL19dWWLVvsk+cePnxYo0aN0u+//y5fX99K3Qfp/Jxxq1evtm9PmDDBqRor4sSJE+rXr5/9PJLM5/6uXbu0bt06SedXfhsyZIgWL16sfv36lXrMFStW6Nprr7Wf3z4+Purevbvatm0rX19fHTlyRKtWrVJ2drb27t2rvn37as2aNabn+8L7pCStX79eGzZskFR81csL+/r4+Cg4OFhS+edWaGhohR+nhIQEXX755dq7d6+9rW7duurXr58iIyOVl5eno0eP6vfff1d6enqZvdCcMW/ePE2cONHeEyYgIEC9e/dW8+bN5e3trX379mnNmjXKz8/X2rVr1adPH23YsEGNGjUq99h33323Zs2aJS8vL/Xq1Uvt2rVTYWGh1q5da79/mzZt0qRJk7Ro0SLTdZs2bWp/Xor+Xr7Q5qgyjzUAiR44AKpcRXvgdOzY0b5/jx49il1e9Fspf39/IygoyJgzZ06xbxt37Nhh+mZ76tSppd7m559/bvomaNKkSUZaWpppn7S0NOOWW24x7Td//vwSj1eR3g8X5OTkGJ06dbJfLyIiwvjxxx+L7ffjjz8aDRo0MH37VVLvDcMwjG+//db45z//aezfv7/U2z106JBx1VVX2Y93++23l7pv0W86/fz8DElGly5djL1795r2KygoMF544QXTt4/Tpk0rdry8vDyjfv369n3++c9/lnpfTp06ZXzwwQfGCy+8UOLlVf0cFv328ELvoA4dOhjbtm0rtm92drb956Lf0l54jIYOHWokJCSYrpOVlWU89NBDplo++OCDEmupzPnk7HXuvfde+37e3t7Gf/7zn2K9Yfbt22d069bNvl9oaKhx6NChEo9X9P5f6P01efJk49SpU6b9zp07Z0yYMMG+b3BwsJGRkeHUfXNW0R4Jjz76qOmyZcuWmepMTU0t93hFnys/Pz8jICDAmDNnTrH91q5da3qfatu2rZGVlVVsvwcffNC+z4ABA4zjx4+XeLt5eXnGsmXLjIkTJ5bYA+T06dOm97pWrVqV2Pvh448/NurUqWPf79prry31vhat38fHx/Dz8zPeeeedYu+zRc/9ouecr6+vIcmoX7++8cMPPxQ7/qJFi4zw8HD7/oMHDy61x0hFetNU5DqrV682vL297fsNHz7cSExMLHb/Hn30UdNz/9JLL5V4vKL338/Pz7DZbEarVq2MdevWFdv3iy++sD9GkozZs2c7db9Ks3LlSlON33///UUdryQjRoywHz8wMND45JNPiu2zYcMGo2XLlvb9oqOjS31tJSYmGo0aNbLvO2HChBJ7hyQlJZl6P3bo0KHUnlAV6SVjGBU7t5w5dl5entGvXz/7fnXq1DH+97//lfh7LScnx/j222+NUaNGlXgsZ3rg7NixwwgMDLTv99BDDxV7rzUMwzh48KCpt+yIESNKPF7R33sX3r979Ohh7N6927RfYWGh8corr5jOubJ6GxbdD0DV4lUFoMpVJMBZuHCh6Rf9448/Xmyfon/U2Gy2Ej8clHS84ODgEocfFBQUGC1atLDvN2bMmFI/SBQWFhrXX3+96YNSSUM/KvOB+4MPPjB9+Nm4cWOp+65fv9405Ohi//jPzc21B2cBAQHG6dOnS9zPsat6VFSUkZKSUupxn3nmGfu+AQEBxf6w3L59u/3yfv36Vbp+VzyHjt2/GzduXGI3cUdF/8iXzgdcJX14v+COO+6w79ukSZMSz1FXBTgHDhwwDe949dVXSz3e6dOnjebNm9v3LS0Qdbz/EyZMKPWYWVlZRnR0tH3fzz77zKn75oyjR4+aAkTH4K2wsND0XvLWW2+Ve8yi96u8evfu3Wv6YPX6668X26doKFZWyFqeadOm2Y9Tt25d4+jRo6Xuu2DBAqc+dBV9bCQZH3/8cbl1FD3nJBleXl7Gb7/9Vur+K1asMD1HpYUOrgpwBg4caN+nd+/eRk5OTqnHe+CBB+z7hoaGljgs1PH+169fv9RQzjAM45FHHrHvO3z4cKfuV2nmzJljuu0jR45c1PEcLVmyxHT8b775ptR9Dx8+bBqSNnPmzBL3u+222+z73HHHHWXefn5+vjFkyJByX3tWBzjvvvuufR8fHx9jxYoV5dZQGmcCnKIh9TPPPFPm8TIyMoz27dvb91+7dm2xfRx/78XGxhrp6emlHvPGG2+073vPPfeUuh8BDuA6TGIMwDLffPONbrnlFvu2n5+f/vSnP5V5nWuuuUbDhw8v9fKrr77avgJHRkaG9uzZU2yfn376SYcPH7bf5muvvVZq13ObzabXX3/d3tX94MGDTk8KWp63337b/vM999yjbt26lbpvjx49dOedd9q333zzzYu6bV9fX02cOFGSlJ2drVWrVjl1vaeffrrM4VaPPfaYfTLP7Oxs03LOkkzDQpwZylGa6ngOp02bpgYNGlS4tpdeeqnMZXlffPFFBQUFSTrf9f7777+v8G1U1rvvvmufvLpjx466//77S903PDxcL7zwgn37008/LXeSXj8/P/3nP/8p9fKAgABNmDDBvn1h6ENVmDNnjn3Czk6dOqlDhw6my202m+n9pqKrUQ0cOFDjx48v9fI2bdro4Ycftm+/++67xfapivPfMAy988479u2nnnpKzZo1K3X/0aNHa8SIEfZtZ947evbsaX9/qIhbbrlFffv2LfXyAQMG6Oabb7Zvl/QYucru3bu1YsUK+/brr79e4hDPC5577jn76//s2bP69NNPy72NJ554Qk2aNCn18ttuu83+88We+45D2erWrXtRx3NU9PfTtddeq+uuu67UfZs3b64nnnjCvv3WW28Vmzw3OTlZn3zyiaTzQ6XLG8rq7e2t5557zr594bru5qWXXrL//Je//EUDBgxw2W1t3brVPgl+mzZt9Pjjj5e5f1BQkKZNm2bfduYxfP755+3DzUpSlecwgMohwPFQJ0+e1MKFCzVt2jSNGDFCDRo0sM/qPmXKFKvLq1LZ2dl64403dMUVVygiIkJ+fn5q2rSpRo4cWWz+CLifRYsW6f777zf9u+WWW9S2bVuNGjVKZ86cse/78ssvKzo6uszjjR07tszLbTabOnXqZN8uaZWDoqsAjRgxQpGRkWUes2nTpqbQaOnSpWXu74yMjAxt3LjRvl30j6LS3HHHHfafN2zYUO5qJmfOnNHixYv10ksv6YknntADDzxgeh5++ukn+75btmwp9/b9/f01bty4Mvfx9fU1fUBzfKyKftBcsmSJdu/eXe7tlsTVz6HNZivzw3ppoqOjTSt5lKRu3bq6/vrrna6lKhV93KZOnVrunBmjR49WvXr1JJ2fc2PNmjVl7t+/f/9ylzDu0qWL/eeqXIXkwpxBkkxBTVFFV6Nas2aNaQWf8jgzD9HkyZPtP2/dutU0v5dkPv+LzhFREbt371ZSUpKk88sgF73N0hR973BmhaabbrqpUrVV9DFatmyZ06vrXayir7NOnTqpa9euZe4fFBRkChudeZ2W9/upXbt2qlOnjiTp1KlTysjIKPeYpbkwj9IFZX3oroyi99eZ309Tp061L8udmJhomg9Gkn755Rf7/GzXXHONU/X26tVLgYGBkuT0lwzV6ejRo6YvicoKxKtC0Tlnxo4dK29v73Kvc/nll9t/Lu8xDAgI0DXXXFPmPq56/wbgPCYx9lDOTERWE+zdu1fXX399sT8EEhISlJCQoEWLFmnWrFmaP3++/RttuJcNGzaU+y1NSEiI/vvf/2rq1KnlHs/xW/WSFO0hUlKPgc2bN9t/LmuyxaL69eun7777TpLsk1FejK1bt9on6A0ODlbHjh3LvU7nzp0VFBSkc+fOqaCgQFu3bi3x2+74+Hg9/vjjmj9/vv0P5vKkpKSUu0+HDh2cep0VXRa+6GMtnZ9YuW/fvlq9erXOnj2r7t27a+LEiRo9erT69++vkJAQp+p19XPYvHlze3BREb169XJqItE+ffrYv9F3fIxcxfj/E1df4Mzj5uvrq549e2rx4sWSzj9uZfWAq4rXZ2UUDWO8vLxMIWJRbdu2VY8ePezvSR999JGeeeYZp26jd+/e5e4TGxur+vXr69SpU/bH+8JEypI0fvx4/frrr5KkJ598Uj/99JMmTpyoK6+80uml34ueL+3atXNqAvKiz3VSUpISEhLK7ClSVm/A0thsNvXq1avc/S68RgzD0JkzZ3TkyJEyJ5uvKpV9z3jttdcklf+eERYWVu4XEDabTeHh4crKypJ0/vyvbPDi+F6ZkZFR7iIAzjp+/Lh9wnFJZfaquiAiIkJt2rSxBxqbNm1Su3bt7JcXDX/37dvndNhx4f00NTVV586dc6u/9dauXWv/OTY2VlFRUS69vaKP4Zo1a5x6DIsGpHFxcWXu27Zt2zJ7pUmuef8GUDEEODVAdHS02rdvb/o2vSZITk7WlVdeaf+FM3bsWE2ePFlNmjRRQkKCZs+erXnz5mnx4sWaMGGCvv32W4srhrOCg4NVv359dezYUUOHDtWkSZOc7v7tzB+oRVf2uLBKQ1FFV3yKiYlx6naLfrhyJuwoT9EaoqOj7d9clsXLy0vR0dH2P5BLqmPz5s264oorin3zXx7Hb3NLUtYwjaKKfogpej8v+OCDDzRkyBAlJiYqMzNT7777rt599115e3urQ4cOGjhwoEaMGKGhQ4fKx6fkX1Oufg4rO7ylqh4jV0hLSzO9HlzxuFXF67Myig6HuuKKK8oMJyZNmmQPcObMmaN//OMfToVuFXluT506Jan4c3v77bfrp59+0vz58yVJy5cv1/LlyyX9sRLY5ZdfrtGjR5d6Dlbm3G/UqJECAgLsq9+kpKSU+RhV5vwPDw93KowIDQ1VWFiYvfdlcnJytQQ4rn7PcDY8qarz3zFgPnPmTJUFOEUfqzp16qhhw4ZOXa958+al/n66sPKT5NwXOyVJTU11qwDnxIkT9p8dV1RzhaKP4ZIlS0w9Kp1R3t8FFX3/zs/Pr9DtA6gaDKHyUNOmTdN3332npKQkHTt2zDRWuaaYOXOmPbyZPn26vvjiC40cOVJdunTRyJEj9cUXX9jH9n733XdasGCBleWiFNOnT5dxfsJ0+7/09HQdOXJE3377rR544IEKjd2vimVSi3Zbd/aPwaL7ORN2uKKG8urIycnRmDFj7H+kNWrUSNOnT9eyZcsUFxenc+fOqbCw0P48fPjhh/brXpgXpSwXurJXpMasrKxiS4G3bdtWW7du1cMPP2z6EFJQUKAtW7bo1Vdf1YgRIxQTE1PqHBmufg4vDHOoqMo8RlVxPjnDcbiGKx63ql7G2Bk5OTmm4bSlDZ+64KabbrJ/CDl27JjTQ9iq4rn18vLSF198oVmzZhXrdZeQkKDPP/9cd999t5o0aaI77rijxCW7XfHe4agy57+zj09Fa6kqrn7PqO5z37HH1q5du6rs2K44x6qit4a7BQZF72NVD2ErycU+ho6/ix1Z8f4NoOIIcDzUzJkzdc0119TYoVQFBQX2ydZiYmL01FNPlbjftGnT7N+K/vOf/6y2+uDZiv6hVd48MiXt5+wwn6quobw6vvzyS/vEvlFRUdq6datmzJihQYMGKSoqSoGBgaY/0Cr6wSkzM7PCNdapU6fEcfoRERH6z3/+o6SkJK1cuVLPPvusRowYodDQUPs+CQkJuuuuu/TAAw8Uu747PIclqcxj5KpaHDl+wHCnx+1ifPPNN6a5tCZPnmyfE66kfxEREaaeD85OZlxVz63NZtPkyZO1detWHThwQO+//74mT55s+gY/Pz9f77//vnr27FmsF48r3juqgrOPT3XUUhJ3fc+orB49esjf39++vW7duio7tivOsaLhziuvvFLsix1n/jk7zLC6FL2PFzOfkbOKPoZff/11pR5DAJ6PAAf2PxSvvvpqNWnSRP7+/mrQoIEGDhyoV155xd7lujrt37/f/gf5lVdeWepEbd7e3rryyislSRs3bmRCNTil6PCAY8eOOXWdo0eP2n+uzMpEZdUQFxfn1B9WhYWFpjHsjnVcmFtDkh5++OFyA96i98kZzj5WRfcr77Hy9fVV//799cQTT2jRokVKSUnR4sWLNWjQIPs+r732WrHu9u7wHJbEFY9RVQkLCzN1f3enx+1iFJ28uDK+/PJLpz6kOvt4lfUaddSqVSvddtttmjVrlg4ePKh9+/bpkUcesQ8dPHjwoGbOnGm6TmXO/ZMnT5p+l7vieUxNTXUqFD579qypJ0F1nVPu+p5RWf7+/qa5aebOnVtlxy76WGVlZTk9bLisx6vo76P9+/dfZIXuoeh9uvDlSXXdXk15DAFUHAFOLXfw4EF16tRJd9xxh3744QclJiYqNzdXp06d0sqVK/Xwww+rY8eO1f6Lomi38fI+hBa9vOgSoUBpiq6isHr1aqeu89tvv9l/Lmn1kop2Pe7UqZM9mMzIyND27dvLvc7WrVvtHzS9vb1Nq21J5vHxl156abnHq+jrZfv27U590C06sWN5K7048vX11VVXXaWffvrJNCHuhcmHL3DFc1gV1q5d61QYV95j5Iqu7DabTZ07d7ZvO/O45efna/369fZtVz1ulXXixAn9+OOP9u1OnTqpV69eTv27MEzo3Llz+vLLL8u9rfJW4JLOf6i6MP+NzWYznafOiI2N1Ysvvqinn37a3uY4v1vRY+7Zs6fEYVaOip77jRs3LnP+m8oyDMOpXiDr1q2zv0bq1q1b4vw3rjj/3fU942Lce++99p/37dunhQsXVslxmzZtapr3xpnH69SpU6YFJxwfr6ITXBd9zXqyohOb79u3T/Hx8S69vZr4GAKoOAKcWiwxMVH9+vXTrl27FBISor/85S/64YcftGnTJi1dulR/+9vfFBgYqP3792v48OHVOtt80W6i5d1u0curcgw4aq6iy2ouWrTItNpGSZKSkuyr8Dhe/4KAgAD7z85MTBkcHKzu3bvbt2fNmlXudYrOWdOzZ89icxMUnQi5vOEMv//+e4UnkczJydEXX3xR5j55eXn21ZUkmVbgqQg/Pz977zrJPFmk5JrnsCrEx8eXu0zzmTNn9M0339i3S3qMKno+Oavo/Z49e3a5YdO3335rDyQCAgJMK4y5g08++cQ+L0ZERIQ2btyotWvXOvVv4sSJ9uM4M4xqzpw55e5T9HXcqVMnhYeHV/xOSaalfB3P/fbt29uXai8oKNDHH39c7vGKvndU9jXpjIo+RoMHDy4xrHHF+V/03N+8ebO2bt1a5v5ZWVn67LPPSry+uxgzZoxiY2Pt23/6059MwwmdtWnTJvvr/IKi54kzv59mz55tn0utSZMmatu2renyq666yt6z7MCBA1UWNlkpJiZG7du3t2+//vrrLr29ou8Lv/76q1Nf/FjFVb/DABDg1Gp33XWXTpw4oejoaG3ZskX//ve/NXz4cHXp0kWDBw/Wc889p1WrVikoKEiHDh3Sv//972qrrXXr1vau/uX1Eih6ubPdolG7DRs2zP6tb05Ojh566KFS9zUMQw888IByc3MlnR/yMHTo0GL71a1b1x6gnDx50qk/WO6++277z6+//rq2bdtW6r6bN2/WW2+9Zd++5557iu1TdA6NogGBo8zMTN11113l1leSp556qtgf+kX961//sg9l9Pf3LzahbGpqqlMTJkvm17PjqjiueA6ryp///Ocyh54++uij9p5MkZGRGjlyZLF9KnM+OePOO++0H3fTpk165513St03LS1Njz32mH17woQJVbbKTVUpGryMHz++1FXLSlL03Fy6dGm5vz9WrFhhmizZ0f79+/XKK6/Yt++4445i+zg7FKWsc99ms5lev08//bSOHz9e6rG+//57Uw+2kt47qsrHH39cZm+NlStXmob6lPQYSealisu6bxXRrl07DRw40L79f//3f2W+rp566il7MBwaGlrq0vRW8vLy0qxZs+znfVxcnK644opyA+0LCgsL9fbbb6tfv37Fhr8V/f301VdfmQJwR3FxcXrmmWdM13UM5po2bWp6zd1zzz1OP7eFhYXVtlpfRf35z3+2//zSSy9p5cqVLrutnj17avDgwZLO/1675ZZbdPbsWaeum5ubW+HVKS+GK17DAM4jwKmlduzYYf/243//+1+pyx926dJF9913n6TzS/9Wl6CgIF1xxRWSpG3btpU6tnvu3LmmbyCqazULeDYvLy89//zz9u25c+fqzjvvLDYJYXp6um6//XbNmzfP3vbCCy+UuOS3v7+/2rRpI+n8sJOvvvqq3DomTpxoHwaVm5urq666qsQVcX799VcNHz7c/mGja9eumjBhQrH9in4799FHH+mll14qturEgQMHNGzYMG3atKnCy7H6+fnp+PHjGjZsWLFhlYWFhXrxxRdNE44/+uijpj/ipPPB0oVhIqXNGZCdna1XXnnFNKzl6quvNu3jiuewKvj5+WnLli267rrrlJiYaLosJydHf/7zn/Xee+/Z2/7xj3+UGDpU5nxyRqtWrUwfzO6//369/vrrxUK1gwcPatiwYTp48KCk8x9gS5tM3ipbtmwxhZ4V/YA9cOBA+3LuhmGU23vEz89PU6ZMKbHHy/r163XllVfae77Fxsbq9ttvL7Zfs2bNdNddd2nZsmWlrgizdu1a3X///fZtx3Nfkh566CE1bdpU0vmhK1dccYW2bNlSbL/PP/9c48ePt29fe+21phCjKvn6+qqwsFDXXXddicM7Fi9erOuvv97e62vgwIEl3jdJpuGT8+fPr7LJV59//nn70NWVK1dqzJgxxcKO3NxcPfnkk3rppZfsbdOnT6+WVYYqo2/fvnr55Zft25s2bdJll12m//73v6X2xsnIyNDnn3+uzp0765577ikxcB4yZIhGjBhh3x47dqzpffSCzZs364orrrCHA9HR0SVOPC9Jzz33nCIjIyWd/1Dfo0cPzZ8/v9RQ//jx4/rvf/+rdu3alRmeWmnKlCn2uYjy8vI0fPhwvfHGGyWGg7m5ufruu+80evToSt/ea6+9Zj8Xt23bpp49e+qXX34pdf8DBw7o2WefVYsWLUxDAl2t6Gu4vJ67ACrG+a+qUKNc+HY+MDCwxG9/ixo4cKD+9a9/KSEhQXFxcfY/eF1t5syZ+uWXX5Sfn6/Jkyfr4MGDmjRpkiIjI5WYmKiPPvpITz/9tPz8/OzfrGdlZVVLbfB848aN04oVK+xdnt977z19/vnnGjJkiBo1aqSTJ09qyZIlplDwoYce0pgxY0o95pgxY/Tss89KOv/t/uzZs029ySSZerL5+flp7ty5GjRokJKTk5WUlKTLL79cnTp1ss9VsmXLFlNX/4YNG2ru3LmmY15w1VVXadCgQVq+fLkMw9Ajjzyi119/XV27dlVYWJj279+v1atXq6CgQE2bNtWDDz5o6mFRnhtvvFEHDx7UunXr1L59ew0YMECtW7dWRkaGVqxYYZqDp0+fPvr73/9e4nEOHTqkxx57TI899piaNWumjh07qmHDhjIMQ0lJSVq7dq3pm8KJEyeaJuu8wBXP4cX605/+pG+++UY///yzWrRoocGDB6tZs2Y6ffq0li5dapqvZMyYMSV+yC96eUXOJ2f9+9//1saNG7Vhwwbl5+fr/vvv1/PPP6/+/fsrODhYBw8e1IoVK+wBg4+Pj95///0S5yqxUtHeNy1btqzw8C6bzaYJEyboX//6l6TzoeeTTz5Z6v4vvviiHnzwQd16662aMWOG+vTpIz8/P+3cudM090tgYKA++ugj0xCCC7KysvTuu+/q3XffVUhIiDp37qxmzZopKChIKSkp2rNnj2kocEREhGbMmFHsOOHh4fr00081YsQIZWZmau/everatat69eqlSy65RLm5uVq3bp0paI2NjdX7779foceoIpo0aaIbbrhBL7/8soYPH66OHTva553ZtGmT6cuWhg0b6oMPPih1rpsbbrhBf/vb32QYhr7//nt17NhRffv2Na36c9NNN5mGoTqjT58+ev755/Xoo49KOj+3VrNmzTRkyBBFR0crNTVVy5YtM/WUGj16tB5++OEK3U51u//++xUeHq7bb79dOTk5Sk5O1kMPPaS//OUv6t69u5o1a6bw8HCdOXNGx48f14YNG+x/N0nnfxcVXdHqgg8//FD9+vXTwYMHlZGRoXHjxik2Nla9evWSn5+fdu/ebZr3KygoSHPnzlXdunVLrDMyMlLffPONrr76aqWkpCgxMVFjx45Vw4YN1atXLzVq1EiFhYU6deqUduzYoUOHDrn9ykk+Pj76/PPPdfnll2v//v3KzMzUfffdpyeffFL9+/dXZGSk8vLydPToUf3+++86e/bsRfVkvOyyyzR37lyNHz/e/tq/8sorFR0drR49eqhBgwbKzc1VcnKytm7d6vJ5eUozZswYe6+txx9/XIsXL9all15qOs+efPLJSg8zBWo1AzXC4cOHDUmGJGPy5Mnl7j9q1Cj7/hX5t379etNxfv7550odx/Hf4cOHS6xz9uzZhp+fX6nX8/b2Nl577TX79qhRo6rg0cTFGjRokP05mT59+kUfLyYmptxzpajJkyfb9//www/L3Pcf//iH4e/vX+b5GRAQYDz33HPl3m5aWppxySWXlHmskuzdu9fo0qVLua+Trl27GgcOHCizhqSkJKNr165lHueSSy4xdu7caXz44Yflvm847pOQkGD06dOnzOMPGzbMSEtLK/F48+bNM2w2m1PvC15eXsaf/vQnIzc3t8z7XFXP4dKlS+37Dxo0qMx9i5o+fbrpfN+9e7fRrl27Muu59dZby71fFT2fiv4eiImJKfPY6enpxrhx48p9DiIjI41FixZV6P6Xp7KPc1F5eXlGw4YN7cf5+9//XqnjbNu2zXR/V69ebbrc8bGePn16medv48aNjaVLl5Z6e8HBwU7/XuzUqZOxe/fuMutfs2aN0bJly3KPNXToUOPkyZNlHqui77OGUfycy83NNe68884ya2ndurWxffv2co/997//vczjOL63F/29U9ZzYBiG8d577xmhoaFlHt/b29t48MEHjfz8fKfvvzMq8zg7a8eOHcbo0aOdPsd8fX2Nm2++2Th48GCpx0xKSjIuv/zyco/VunXrYn8jlubIkSPGFVdc4XSdjRo1MhYvXlzisSr6/lOR86Qixz516pTTj33Tpk1LPEZFzo0tW7YY3bp1c/oxbN68ubF58+Zix6nM+7Hj+2JJ8vLyjCFDhpRZU1Wf/0BtQQ+cWsrZ8dGOypsYtapNmjRJnTp10rPPPqvFixfbv0n38vLSkCFD9Oyzz5qGgZDko6L+/ve/69Zbb9V7772nH3/8UYcPH9aZM2dUt25dtWzZUldddZXuuOMONWvWrNxjhYaGav369XrzzTf13Xffaffu3Tpz5ky585e0adNGGzdu1Pz58/Xll19q/fr19tfohW8mb7zxRo0ZM6bc1VkaNWqk1atX67333tNnn32mHTt2KDMzUw0bNlTbtm01fvx4TZw4UYGBgabVhZwVGRmp5cuX6+OPP9Ynn3yi3bt3KyUlRfXq1VP37t01ZcqUMnu43HjjjUpMTNRPP/2k3377TVu3btWhQ4fsXf3DwsLUpk0b9e/fX5MmTdIll1xSbk1V+RxWhXbt2mnDhg364IMP9MUXX+jAgQNKTU1Vw4YN1bdvX9111132IaJlqez55Izg4GB9/vnneuihhzRnzhwtW7ZMCQkJysrKUoMGDXTZZZfpmmuu0W233VbhoXbV4YcffjD9Hqvs/CQdOnRQhw4d7L1DZs+eXWZPnhkzZmjEiBF6++23tXLlSiUkJMjX11etWrXS6NGjdf/995fa+0A6P9xpxYoVWr58uTZs2KD9+/frxIkTys7OVmBgoKKiotStWzeNGTNG1113XblD/Xr37q3du3fr448/1tdff60tW7bo5MmT8vX1VePGjdW/f39NmDBBw4YNq9TjU1G+vr565513NHbsWL3//vtav369EhMTFRgYqHbt2mns2LG65557Suyd5Ogf//iH+vXrpw8++EAbN27UiRMnquxvkNtvv13XX3+93n33Xf3www/at2+fTp8+rZCQEEVHR2vo0KG67bbbnHr/cSeXXnqpFixYoN27d+v777/Xr7/+qoMHDyo5OVkZGRkKDQ1Vo0aN1KVLFw0YMEBjx44tNszVUaNGjfTrr7/qxx9/1GeffaZVq1YpKSlJeXl5atiwobp06aJRo0bplltuKbFnaEliYmL0yy+/aM2aNZo3b55WrFihuLg4paamysfHR/Xr11dsbKy6d++uYcOGafDgwRWa38oK9erV04IFC7RhwwZ9+umnWrZsmeLj45Wamqo6deooKipKnTt31vDhw3XjjTde9O116tRJGzdu1E8//aSvv/5av/32mxISEnTmzBn5+/srIiJCbdq0Ue/evXXVVVepT58+LlndrTQ+Pj768ccf9cEHH+jLL7/U9u3bdfr0aVPPLwCVYzMMN++bCKccOXLE3r198uTJ5a4Y0Lt3b61bt04tWrQotkRpWVq0aGH6Yz4zM7NKJg5u1apVub/4CwoKlJiYqOzsbDVp0kSBgYGSpE8//dS+msiLL76oRx555KLrAQBnzZgxQzNnzpR0fq6Mkoa8ADVR0b89YmJi7BOYAwAA13DvOBsuc+EblxMnTqhdu3aV/mbjwrdq1cHb21tRUVHF2letWmX/uVevXtVSCwAAAAAA1YlVqGqpCxMLZmZmVuus9FUtNzdX8+fPl3R+icqSJjoFAAAAAMDTEeDUUtdff7395wsrcHii//73v0pOTpYk3XPPPfblQQEAAAAAqEkIcGqpHj162Cc1XLRokaZPn17m/keOHNHcuXOrozSTsubX+e677+xLvsbGxjL3DQAAAACgxmIOHA+1atUqHThwwL6dkpJi//nAgQPFJjGeMmVKsWN8+OGH6t69uxITE/X000/rxx9/1G233aYOHTooICBAp06d0rZt27R48WItWbJEo0aN0oQJE1x1l0p02WWXqU+fPho7dqwuvfRS+fn56ciRI5o3b54+//xzSedXnvr888+dWtUCAAAAAABPRIDjod577z3Nnj27xMt+++23YvPalBTgNGnSRGvWrNHYsWO1YcMGrVu3TuvWrSv1NkNDQy+q5sooLCzUTz/9pJ9++qnEyy+55BJ9/PHH9jl9AAAAAACoiVhG3ENNmTKl1ACnJGU9zYZh6JtvvtHnn3+udevW6cSJE8rLy1PdunUVGxurPn366LrrrtOAAQNks9mqonynffbZZ/rpp5+0fv16JSYmKiMjQxEREerYsaNuvPFG3XrrreUuPw4AAAAAgKcjwAEAAAAAAHBzTGIMAAAAAADg5ghwAAAAAAAA3BwBDgAAAAAAgJsjwAEAAAAAAHBzBDgAAAAAAABuzsfqAlC+7Oxsbd++XZIUEREhHx+eNgAAAAAAqlp+fr6Sk5MlSR06dFBAQIDFFf2BJMADbN++XT179rS6DAAAAAAAao3169erR48eVpdhxxAqAAAAAAAAN0cPHA8QERFh/3n9+vWKjIy0sBoAAAAAAGqmxMRE+wiYop/F3QEBjgcoOudNZGSkoqKiLKwGAAAAAICaz93mn2UIFQAAAAAAgJsjwAEAAAAAAHBzBDgAAAAAAABujgAHAAAAAADAzRHgAAAAAAAAuDkCHAAAAAAAADdHgAMAAAAAAODmCHAAAAAAAADcHAEOAAAAAACAmyPAAQAAAAAAcHMEOAAAAAAAAG6OAAcAAAAAAMDNEeAAAAAAAAC4OQIcAAAAAAAAN0eAAwAAAAAA4OYIcAAAAAAAANwcAQ4AAAAAAICbI8ABAAAAAABwcwQ4AAAAAAAAbo4ABwAAAAAAwM0R4AAAAAAAALg5AhwAAAAAAAA3R4ADAAAAAADg5ghwAAAAAAAA3BwBDgAAAAAAgJsjwAEAAAAAAHBzBDgAAAAAAABujgAHAAAAAADAzflYXQBQExUUGkrJyFFiWraS0rJkGNKIDpFWlwUAAAAA8FAEOIALfL89UQ/M3WzfbtEgiAAHAAAAAFBpDKECXCAyLMC0nZiWJcMwLKoGAAAAAODpCHAAF2gcag5wsvMKlZaVZ1E1AAAAAABPR4ADuEAjhwBHkpLOZltQCQAAAACgJiDAAVzAz8dLDYL9TW2JaQQ4AAAAAIDKIcABXKRxmDnASSLAAQAAAABUEgEO4CKNQ+uYtumBAwAAAACoLAIcwEUcV6JKSsuyqBIAAAAAgKcjwAFcpLFjgHM2x6JKAAAAAACejgAHcBF64AAAAAAAqgoBDuAijR2WEmcOHAAAAABAZRHgAC7iOIQqPTtfGTn5FlUDAAAAAPBkBDiAizgGOBJLiQMAAAAAKocAB3CRQD8fhdXxNbWdOEuAAwAAAACoOAIcwIUcJzJmHhwAAAAAQGUQ4AAuVGwpcVaiAgAAAABUAgEO4EKsRAUAAAAAqAoEOIALFe+BQ4ADAAAAAKg4AhzAhRznwEliEmMAAAAAQCUQ4AAu1DisjmmbHjgAAAAAgMogwAFcyLEHzqlzucrOK7CoGgAAAACApyLAAVyokcMkxpJ08myOBZUAAAAAADwZAQ7gQqEBPgr08za1JbKUOAAAAACggghwABey2WzFV6JiImMAAAAAQAUR4AAuVmwlKiYyBgAAAABUEAEO4GKNQ80rUSUS4AAAAAAAKogAB3AxeuAAAAAAAC4WAQ7gYo0cApxE5sABAAAAAFQQAQ7gYpEOS4mfoAcOAAAAAKCCCHAAF3NchepkerbyCwotqgYAAAAA4IkIcAAXc5wDp9CQkjNyLKoGAAAAAOCJCHAAF6sX5Cc/b/NLjZWoAAAAAAAVQYADuJjNZlOjMH9TGytRAQAAAAAqggAHqAaRoXVM2wQ4AAAAAICKIMABqoHjRMYJZ7IsqgQAAAAA4IkIcIBq0KSuuQcOc+AAAAAAACqCAAeoBk3qOvTASaMHDgAAAADAeQQ4QDVoEmbugcMQKgAAAABARRDgANXAcQjVyfQc5eYXWlQNAAAAAMDTEOAA1cBxCJVhSCfOMg8OAAAAAMA5BDhANQir46tAP29TG8OoAAAAAADOIsABqoHNZis2jIqJjAEAAAAAziLAAapJZJjDSlRnGEIFAAAAAHAOAQ5QTZo69sBhCBUAAAAAwEkEOEA1KTaEigAHAAAAAOAkAhygmjCECgAAAABQWQQ4QDUpNoSKSYwBAAAAAE4iwAGqieMQqvTsfJ3NzrOoGgAAAACAJyHAAapJY4chVJKUyDAqAAAAAIATCHCAahLg660GwX6mNoZRAQAAAACcQYADVKPIMFaiAgAAAABUHAEOUI2a1HVciYoABwAAAABQPgIcoBo5TmTMHDgAAAAAAGcQ4ADVqInDEKrj9MABAAAAADiBAAeoRo49cJjEGAAAAADgDAIcoBo5zoGTlJatwkLDomoAAAAAAJ6CAAeoRo49cPIKDKVk5FhUDQAAAADAUxDgANUoIthfvt42Uxvz4AAAAAAAykOAA1QjLy+bGoc5LiXOSlQAAAAAgLIR4ADVLNJhJapEJjIGAAAAAJSDAAeoZk3rspQ4AAAAAKBiCHCAaua4ElUCAQ4AAAAAoBwEOEA1Kz6EijlwAAAAAABlI8ABqpnjECp64AAAAAAAykOAcxEee+wx2Ww2+79ly5ZZXRI8QBOHACclI1fZeQUWVQMAAAAA8AQEOJW0detWvfzyy1aXAQ/kOAeORC8cAAAAAEDZCHAqobCwUHfeeafy8/PVsGFDq8uBhwkJ8FVYHV9TW3wqAQ4AAAAAoHQEOJXw6quvasOGDWrXrp1uv/12q8uBB4oKNw+jIsABAAAAAJSFAKeC4uLi9NRTT0mS3nzzTfn5+VlcETyR40TGx89kWlQJAAAAAMATEOBU0J/+9CdlZGRo8uTJGjx4sNXlwENFhQeatumBAwAAAAAoCwFOBXzxxRdauHCh6tWrpxdffNHqcuDBGEIFAAAAAKgIAhwnnTlzRg8++KAk6YUXXlBERITFFcGTNXUIcI4T4AAAAAAAyuBjdQGe4rHHHlNSUpL69u1b5RMXx8fHl3l5YmJild4erOfYA+dEerZy8wvl50OmCgAAAAAojgDHCatWrdJ7770nHx8fvfXWW7LZbFV6/Ojo6Co9Htyf4xw4hiElpmUppn6QRRUBAAAAANwZX/eXIzc3V3fddZcMw9DDDz+sDh06WF0SaoCwOr4K8Tfnp8yDAwAAAAAoDT1wyvHcc89p9+7datasmaZPn+6S24iLiyvz8sTERPXs2dMltw3rNA2voz1J6fbt+FSWEgcAAAAAlIwApwx79uzRP//5T0nSa6+9pqAg1wxviYqKcslx4d6iwgNNAQ4TGQMAAAAASkOAU4aXX35Zubm5atmypTIzM/XZZ58V22fHjh32n5csWaKkpCRJ0rXXXuuywAc1A0uJAwAAAACcRYBThpycHEnSoUOHNGHChHL3/8c//mH/+fDhwwQ4KFOxAOcMAQ4AAAAAoGRMYgxYpGldc4DDECoAAAAAQGkIcMowa9YsGYZR5r+iExsvXbrU3t68eXPrCodHcFxKPDEtS3kFhRZVAwAAAABwZwQ4gEUch1AVGlJSWrZF1QAAAAAA3BkBDmCRuoG+CvTzNrUxkTEAAAAAoCQEOIBFbDZbsV44x5nIGAAAAABQAgIcwEKO8+DEp2ZaVAkAAAAAwJ0R4FykGTNm2CcuHjx4sNXlwMM4rkTFECoAAAAAQEkIcAALFRtCRYADAAAAACgBAQ5goWJDqM4whAoAAAAAUBwBDmChpg49cBLPZKug0LCoGgAAAACAuyLAASzkOIQqv9DQibPZFlUDAAAAAHBXBDiAheoH+SnA1/wyZCJjAAAAAIAjAhzAQjabrdhKVMeZBwcAAAAA4IAAB7BYsYmMT9MDBwAAAABgRoADWMxxHpy4VHrgAAAAAADMCHAAi0XXM/fAiaMHDgAAAADAAQEOYLFmDgHOsdP0wAEAAAAAmBHgABaLdpgDJzEtS3kFhRZVAwAAAABwRwQ4gMUce+AUGlLCGYZRAQAAAAD+QIADWCws0FehAT6mNoZRAQAAAACKIsAB3IDjRMYEOAAAAACAoghwADfgOIyKlagAAAAAAEUR4ABuoHiAQw8cAAAAAMAfCHAANxDFECoAAAAAQBkIcAA3UKwHTioBDgAAAADgDwQ4gBtwDHDOZOYpLSvPomoAAAAAAO6GAAdwA03qBshmM7cxDw4AAAAA4AICHMAN+Pt4KzI0wNQWzzAqAAAAAMD/R4ADuIloJjIGAAAAAJSCAAdwEwQ4AAAAAIDSEOAAbqLYSlSnsyyqBAAAAADgbghwADdRPMChBw4AAAAA4DwCHMBNRNerY9qOT81SYaFhUTUAAAAAAHdCgAO4Ccc5cHILCnUiPduiagAAAAAA7oQAB3ATEcH+CvA1vySPnWIYFQAAAACAAAdwGzabTdHhrEQFAAAAACiOAAdwI8UmMk5lJSoAAAAAAAEO4FYc58FhJSoAAAAAgESAA7gVxwCHIVQAAAAAAIkAB3ArxYZQEeAAAAAAAESAA7gVxwDnZHqOsnILLKoGAAAAAOAuCHAANxJdr06xtrhUeuEAAAAAQG1HgAO4kUA/HzUM8Te1HUk5Z1E1AAAAAAB3QYADuJmY+uZhVEdP0QMHAAAAAGo7AhzAzcTUDzJtHzlFDxwAAAAAqO0IcAA305weOAAAAAAABwQ4gJtx7IFz9DQ9cAAAAACgtiPAAdxMc4cA53hqlnLzCy2qBgAAAADgDghwADfTzGEIVaEhxbOUOAAAAADUagQ4gJsJq+OrekF+pjbmwQEAAACA2o0AB3BDzeqZe+GwEhUAAAAA1G4EOIAbYiUqAAAAAEBRBDiAG3JciYoeOAAAAABQuxHgAG6oeQNzD5xj9MABAAAAgFqNAAdwQ449cOJSM5VfwFLiAAAAAFBbEeAAbqi5Q4CTV2AoMS3bomoAAAAAAFYjwAHcUHigr0ICfExtzIMDAAAAALUXAQ7ghmw2m2LqOy4lzjw4AAAAAFBbEeAAbspxHpyjKfTAAQAAAIDaigAHcFPN6YEDAAAAAPj/CHAAN+XYA+fYaXrgAAAAAEBtRYADuCnHlaiOnspUYaFhUTUAAAAAACsR4ABuynEIVU5+oU6ks5Q4AAAAANRGBDiAm4oI8VcdX29T25EU5sEBAAAAgNqIAAdwUyUtJX70FPPgAAAAAEBtRIADuDHHAOcwAQ4AAAAA1EoEOIAbKzaRMUOoAAAAAKBWIsAB3FiLBuYA53AKPXAAAAAAoDYiwAHcWLEA59Q5lhIHAAAAgFqIAAdwYy0izAFObn6hEtKyLKoGAAAAAGAVAhzAjUUE+yvE38fUxjAqAAAAAKh9CHAAN2az2Yr1wiHAAQAAAIDahwAHcHOO8+AcSibAAQAAAIDahgAHcHPFAhx64AAAAABArUOAA7i54kuJZ1hUCQAAAADAKgQ4gJtr2SDYtB2fmqWc/AKLqgEAAAAAWIEAB3BzjpMYG4Z07FSmRdUAAAAAAKxAgAO4uWB/HzUM8Te1MQ8OAAAAANQuBDiAByg+Dw4BDgAAAADUJgQ4gAdoGeG4lDgTGQMAAABAbUKAA3gAeuAAAAAAQO1GgAN4gBYOK1ER4AAAAABA7UKAA3gAxyFUKRm5SsvKs6gaAAAAAEB1I8ABPEB0eKC8vWymtiP0wgEAAACAWoMAB/AAfj5eig6vY2pjGBUAAAAA1B4EOICHcJzI+BABDgAAAADUGgQ4gIdwnMiYpcQBAAAAoPYgwAE8RIsIlhIHAAAAgNqKAAfwEK0aFA9wDMOwqBoAAAAAQHUiwAE8hGMPnMzcAp1Mz7GoGgAAAABAdSLAATxEo5AA1fH1NrUdSmYYFQAAAADUBgQ4gIfw8rKpucMwqoNMZAwAAAAAtQIBDuBBWkUQ4AAAAABAbUSAA3iQVhHmpcQPnCTAAQAAAIDagAAH8CCtG5oDnIMEOAAAAABQKxDgAB7EMcBJSMvWuZx8i6oBAAAAAFQXAhzAg7RoECSbzdzGSlQAAAAAUPMR4AAeJMDXW9Hhgaa2A8npFlUDAAAAAKguBDiAhyk+Dw49cAAAAACgpiPAATyMY4DDSlQAAAAAUPMR4AAeplVEkGn7QDIBDgAAAADUdAQ4gIdx7IFzJOWc8goKLaoGAAAAAFAdCHAAD9Mqwhzg5BcaOnY606JqAAAAAADVgQAH8DB1A/3UINjP1MY8OAAAAABQsxHgAB7IsRcOAQ4AAAAA1GwEOIAHKraUOBMZAwAAAECNRoADeCDHHjgH6YEDAAAAADUaAQ7ggYr3wDknwzAsqgYAAAAA4GoEOIAHcgxwMnLydeJsjkXVAAAAAABcjQAH8ECRYQEK9PM2tTGRMQAAAADUXAQ4gAey2WwlrESVblE1AAAAAABXI8ABPJTjMKoDrEQFAAAAADUWAQ7goVpFBJm2D548Z1ElAAAAAABXI8ABPBQ9cAAAAACg9iDAATyUY4CTnJ6jtMw8i6oBAAAAALgSAQ7goZrVC5KPl83Utp+JjAEAAACgRiLAATyUn4+XWjQwz4Oz7wTDqAAAAACgJiLAATxYm0Yhpu19J+iBAwAAAAA1EQEO4MEcAxyGUAEAAABAzUSAA3iwNo3MExnvTWIIFQAAAADURAQ4gAeLdeiBk5KRo9RzuRZVAwAAAABwFQIcwIM1rx8oP2/zy5h5cAAAAACg5iHAATyYj7eXWkY4rkRFgAMAAAAANQ0BDuDhiq9ExTw4AAAAAFDTEOAAHq5tY5YSBwAAAICajgAH8HCxDc0rUe07kS7DMCyqBgAAAADgCgQ4gIdz7IGTmpmnlAxWogIAAACAmoQAB/Bw0eGBCvA1v5T3M4wKAAAAAGoUAhzAw3l52dS6hGFUAAAAAICagwAHqAEcV6Lay0pUAAAAAFCjEOAANYBjgMMQKgAAAACoWQhwgBqgTSNWogIAAACAmowAB6gBHHvgnM3O14mzORZVAwAAAACoagQ4QA3QtG4dBfl5m9qYyBgAAAAAag4CHKAGsNlsau3QC4cABwAAAABqDh+rC3B3Z8+e1aJFi7RhwwZt3LhRx48fV3JysrKyslS3bl1dcskluvrqq3X77berfv36VpeLWqxto2BtjTtj3ybAAQAAAICagwCnHOvXr9eECRNKvCw5OVnLly/X8uXL9eKLL+rjjz/WVVddVc0VAuc5zoOzj6XEAQAAAKDGIMBxQnR0tIYMGaJu3bopOjpakZGRKiwsVHx8vObPn68FCxYoJSVF1113nTZs2KCOHTtaXTJqoeIBTroKCw15edksqggAAAAAUFUIcMoxZMgQHTt2rNTLx40bp6+//lqjR49Wbm6uZs6cqS+//LIaKwTOaxdpDnAycwsUl5qpmPpBFlUEAAAAAKgqTGJcDm9v73L3GTVqlNq1aydJWrFihatLAkoUEeyv+kF+prbdicyDAwAAAAA1AQFOFQkKOt/LITs72+JKUFvZbLZivXD2JJ21qBoAAAAAQFUiwKkCu3fv1pYtWyTJ3hMHsEK7xqGm7T30wAEAAACAGoEAp5IyMzO1f/9+/ec//9GQIUNUUFAgSXrwwQctrgy1WbvG9MABAAAAgJqISYwrYNasWZo6dWqplz/yyCOaOHFihY8bHx9f5uWJiYkVPiZqp/aR5h44R09n6lxOvoL8eakDAAAAgCfjU10V6Ny5s9566y316tWrUtePjo6u4opQW7VuGCwvm1RonN82DGnviXR1bRZubWEAAAAAgIvCEKoKGDVqlLZv367t27dr/fr1mjt3rkaPHq0tW7Zo4sSJWrhwodUlopYL8PVWy4hgUxvz4AAAAACA56MHTgXUrVtXdevWtW/36NFDN910k+bMmaPJkyfr+uuv1/vvv68pU6ZU6LhxcXFlXp6YmKiePXtWomLURu0ah+jAyQz7NvPgAAAAAIDnI8CpArfeeqsWLlyoL774Qvfff7+uv/56hYc7P2QlKirKhdWhtmkfGaqF2/6YN4keOAAAAADg+RhCVUWuv/56SdK5c+f0ww8/WFwNajPHlah2J52VYRgWVQMAAAAAqAoEOFUkIiLC/vPRo0ctrAS1neNKVOnZ+UpIy7aoGgAAAABAVSDAqSLHjx+3/xwcHFzGnoBrRYYFKDTAPDpyTyLz4AAAAACAJyPAqSLz5s2z/9yhQwcLK0FtZ7PZ1M6hF85uAhwAAAAA8GgEOOWYNWuWsrPLHn7y8ssva9GiRZKk5s2bq3///tVRGlCq9sXmwWEiYwAAAADwZKxCVY4ZM2boL3/5i8aMGaP+/furVatWCg4OVnp6urZv365PPvlEv/32myTJz89P7777rnx8eFhhLcceOAyhAgAAAADPRtLghNOnT+vdd9/Vu+++W+o+UVFR+uCDDzR06NBqrAwomeNKVIdTzik7r0ABvt4WVQQAAAAAuBgEOOX49ddf9csvv2jp0qXavXu3Tpw4oVOnTikgIECNGjVS586ddc0112jcuHEKDAy0ulxAktSmUYhsNunC6uGFhrT/RIY6RIVZWxgAAAAAoFIIcMrRqlUrtWrVSnfffbfVpQBOC/L3UUy9QB05lWlv2510lgAHAAAAADwUkxgDNVS7xqxEBQAAAAA1BQEOUEO1izTPg7MrgQAHAAAAADwVAQ5QQ13axDxcalfiWRkXJsUBAAAAAHgUAhyghrq0iXkIVXp2vuJOZ1lUDQAAAADgYhDgADVUZFiAwgN9TW07E9IsqgYAAAAAcDEIcIAaymazFRtGtZN5cAAAAADAIxHgADWY4zAqeuAAAAAAgGciwAFqsEuKBTj0wAEAAAAAT0SAA9RgjkOoTqbnKDk9x6JqAAAAAACVRYAD1GAtGgSpjq+3qY1hVAAAAADgeQhwgBrM28um9pEhpjaGUQEAAACA5yHAAWo4x2FUuwhwAAAAAMDjEOAANRwrUQEAAACA5yPAAWo4xx44R05lKj07z6JqAAAAAACVQYAD1HBtGgfLx8tmatudmG5RNQAAAACAyiDAAWo4fx9vtW4YbGpjGBUAAAAAeBYCHKAWcBxGxUpUAAAAAOBZCHCAWqD4RMYEOAAAAADgSQhwgFrAMcDZfyJdOfkFFlUDAAAAAKgoAhygFmjvEODkFxrafyLDomoAAAAAABVFgAPUAqEBvmpWL9DUtv04ExkDAAAAgKcgwAFqiQ5R5omMCXAAAAAAwHMQ4AC1RMemDgFOPAEOAAAAAHgKAhyglnDsgbMn6SwTGQMAAACAhyDAAWqJyxx64OQVGNqblG5RNQAAAACAiiDAAWqJ0ABftWwQZGrbxjAqAAAAAPAIBDhALVJsImMCHAAAAADwCAQ4QC3SwWEY1TZWogIAAAAAj0CAA9QiHaPqmrb3nUhXdh4TGQMAAACAuyPAAWqRS5uEymb7Y7ug0NCuxLPWFQQAAAAAcAoBDlCLBPn7qHVEsKmNeXAAAAAAwP35WF2AJKWkpOj48eNKTk7WqVOnVKdOHUVERCgiIkItW7aUlxc5E1BVOkSFaf/JDPs2K1EBAAAAgPuzJMBJT0/XN998o2XLlmnlypU6cOBAqfsGBQWpd+/eGjBggEaOHKmuXbtWY6VAzdOxaZgWbDpu395+/Ix1xQAAAAAAnFKtAc7vv/+u//73v/ryyy+VnZ0tSTIMo8zrZGRk6Ndff9Wvv/6qGTNmqG3btrrvvvs0ZcoUBQUFVUfZQI3SwWEi4wMnM3QuJ19B/m7RIQ8AAAAAUIJq+cT2+++/6+9//7t++uknSX+ENpGRkerRo4e6deumhg0bql69egoPD1dWVpZOnz6t1NRU7du3Txs2bNC2bduUl5enPXv26IEHHtCMGTP06KOP6sEHH5S/v3913A2gRrgkMlTeXjYVFJ5/HRYa0q7Es+rRvJ7FlQEAAAAASuPyAGfq1KmaM2eOCgsLJUldu3bVxIkTNWbMGDVr1szp4+Tm5mrFihX69NNP9dVXX+nUqVP629/+pjfffFNz5sxR//79XXUXgBqljp+3YhsGa09Sur1tW3waAQ4AAAAAuDGXzw48e/Zs+fj46M4779SePXu0ceNGPfzwwxUKbyTJz89PQ4cO1QcffKCkpCR99NFHatu2rY4ePaolS5a4qHqgZuoYFWba3h5/xppCAAAAAABOcXmAc++99+rAgQN6++231aZNmyo5pr+/v2655Rbt3LlTn332mWJjY6vkuEBt4TgPzrbjrEQFAAAAAO7M5UOoXn/9dZcd22azady4cS47PlBTdWxq7oFzKPmczmbnKTTA16KKAAAAAABlcXkPHADup11kiHy9baa27fH0wgEAAAAAd0WAA9RC/j7euqSJuRfOlrgz1hQDAAAAACgXAQ5QS3WJrmva3nws1ZpCAAAAAADlIsABaqnODgHOlrgzMgzDmmIAAAAAAGVyiwDnm2++0dNPP211GUCt4hjgpGTkKj41y5piAAAAAABlcosA5+uvv9bMmTOtLgOoVWLqByo80LzqFPPgAAAAAIB7cosAB0D1s9lsJQ6jAgAAAAC4Hx9XHPSjjz6q0P4HDhxwRRkAytE5OlxL9ybbt5nIGAAAAADck0sCnClTpshmszm9v2EYFdofQNXo3KyuaXtHwlnl5hfKz4fOeQAAAADgTlwS4Pj5+alJkya6++67ndp/3rx52rx5sytKAVCGzlF1Tdu5+YXak3RWHR3aAQAAAADWckmA06FDBx07dkx//etfndp/z549BDiABcICfdUyIkiHks/Z27bEnSHAAQAAAAA345JxEt26dVNKSori4uJccXgAVchxIuPNx85YUgcAAAAAoHQuCXAGDBigZs2aaf/+/U7t379/f02aNMkVpQAoRxdWogIAAAAAt2czDMOwugiULT4+XtHR0ZKkuLg4RUVFWVwRapLt8Wm69n+rTG1bpl2puoF+FlUEAAAAANZw58/fLDUD1HLtIkPk77DqFL1wAAAAAMC9EOAAtZyvt5c6NA0ztRHgAAAAAIB7qfYAZ8WKFdq3b1913yyAMjCRMQAAAAC4t2oPcAYPHqwXXnihum8WQBk6N6tr2t58LFWFhUyPBQAAAADuwpIhVMybDLiXbjHhpu2z2fk6mJxhUTUAAAAAAEfMgQNAkWF11CQswNS28WiqRdUAAAAAABwR4ACQJHVrXs+0/TsBDgAAAAC4DQIcAJKkbg7z4BDgAAAAAID7IMABIEnq7tAD53DKOaVk5FhUDQAAAACgKAIcAJKkdo1DFOjnbWrbRC8cAAAAAHALBDgAJEk+3l7qHF3X1MYwKgAAAABwDwQ4AOy6OywnToADAAAAAO6BAAeAXVeHAGfb8TTl5BdYVA0AAAAA4AICHAB2XWPCZbP9sZ2bX6gdx9OsKwgAAAAAIMmCAKdevXoKCQmp7psF4ITQAF+1bWR+fTKMCgAAAACs51PdN5iSklLdNwmgArrGhGtPUrp9e+ORVN010MKCAAAAAAAMoQJg5jiR8aZjqTIMw6JqAAAAAAASAQ4AB90cApyUjFwdPZVpUTUAAAAAAIkAB4CDZvUC1SDY39S2kXlwAAAAAMBS1T4HjqP8/Hx9//33WrlypQ4dOqT09HQVFJS9bLHNZtOvv/5aTRUCtYvNZlP3mHAt3plkb/v9aKpu7BZlYVUAAAAAULtZGuAsW7ZMU6dO1bFjx+xtZc21YbPZZBiGbEXXOQZQ5bo5BDgbj5y2sBoAAAAAgGUBzpYtWzRixAjl5ubKMAwFBAQoNjZWdevWlZcXI7sAK3Vvbp4HZ//JDJ3KyFF9h6FVAAAAAIDqYVmAM2PGDOXk5Mjf31//+c9/NHXqVAUEBFhVDoAiLmsapkA/b2Xm/jGcccORVA2/rLGFVQEAAABA7WVZV5dVq1bJZrPpySef1L333kt4A7gRX2+vYqtRrTt8yqJqAAAAAACWBTjZ2dmSpOHDh1tVAoAy9Gxez7S9/jDz4AAAAACAVSwLcJo3by5JysvLs6oEAGXo2cIc4OxKPKuz2bxeAQAAAMAKlgU4o0aNkiStWLHCqhIAlKFTdF35+fzxFmEYrEYFAAAAAFaxLMB58MEHFRkZqX//+986cuSIVWUAKEWAr7c6R9c1ta1jGBUAAAAAWMKyACciIkKLFi1SnTp11KtXL7333ntKS0uzqhwAJejVgnlwAAAAAMAdWLaMuCR17NhRK1asUK9evXT33XfrnnvuUYMGDRQYGFjm9Ww2mw4ePFhNVQK1V68W9fWaDti3t8enKTM3X4F+lr51AAAAAECtY+mnsC+//FK333670tPTZRiGDMPQyZMny72ezWarhuoAdI2pKx8vm/ILDUlSfqGhTUfPqH9sA4srAwAAAIDaxbIAZ82aNbrppptUUFAgSYqJiVHHjh1Vt25deXlZNrILQBGBfj66rGmYtsSdsbetP3yKAAcAAAAAqpllAc4zzzyjgoIChYWF6dNPP9WIESOsKgVAGXq1rGcKcJjIGAAAAACqn2VdXX7//XfZbDbNnDmT8AZwY44TGW+OO6PsvAKLqgEAAACA2smyAOfcuXOSpP79+1tVAgAndIupp6LTTuXmF2pbPCvGAQAAAEB1sizAadGihSQpMzPTqhIAOCGsjq8uiQw1ta0/fMqiagAAAACgdrIswLnhhhtkGIZ+/PFHq0oA4KSeDsOo1h5iHhwAAAAAqE6WBTh/+ctfFBsbq1deeUUbN260qgwATujVor5pe+PR08rJZx4cAAAAAKgulgU4ISEh+vXXX3XZZZdp4MCBevLJJ7Vt2zZlZ2dbVRKAUvRuaZ4HJzuvUFuOnbGsHgAAAACobSwLcLy9vRUTE6P169crOztbzz//vLp06aKgoCB5e3uX+c/Hx7LVz4FaqW6gny5tYp4HZ/VB5sEBAAAAgOpiWYBjGIb9n+O2M/8AVK++rRqYttcQ4AAAAABAtbGsK8v06dOtumkAldCnVX29s+KQfXtzXKoyc/MV6EePOAAAAABwNQIcAE7p0byefLxsyi883wMur8DQhiOpGtQmwuLKAAAAAKDms2wIFQDPEuzvo07RdU1tqw+mWFMMAAAAANQyBDgAnNa3lXk5cebBAQAAAIDqYVmAk56erqefflpPP/20kpKSyt0/MTHRvn9WVlY1VAjAUR+HAGfH8TSlZeZZVA0AAAAA1B6WBThff/21ZsyYoU8++USNGzcud//GjRvrk08+0cyZM/Xdd99VQ4UAHHVtFi5/nz/eNgoNad1heuEAAAAAgKtZFuAsWLBANptN48aNc2p/m82mm266SYZhaN68eS6uDkBJAny91b15uKltNcOoAAAAAMDlLAtw9uzZI0nq27ev09fp06ePJGnXrl0uqQlA+fq2amDaZiJjAAAAAHA9ywKc+Ph4SVJkZKTT17kw1Or48eMuqQlA+Rznwdl3IkPJ6TkWVQMAAAAAtYNlAY6X1/mbzszMdPo6F/bNz893SU0AytexaZiC/X1MbWsOMYwKAAAAAFzJsgDnQs+bjRs3On2dC/s6M+kxANfw8fZSzxb1TG2rDzCMCgAAAABcybIAZ8CAATIMQ2+88Yby8spfhjgvL09vvPGGbDab+vfvXw0VAihNX4dhVCv3p8gwDIuqAQAAAICaz7IAZ+rUqZKk/fv36+abby5zKFVmZqYmTJigffv2ma4LwBr9Y80TGR8/k6Ujp5wfDgkAAAAAqBif8ndxjb59++qmm27SZ599pgULFmjdunW68847NXDgQEVGRspmsykhIUErVqzQe++9p/j4eNlsNt14440aNGiQVWUDkNS2UYgiQvxNkxev3J+sFg2CLKwKAAAAAGouywIcSfrggw+UkpKiX375RcePH9eMGTNK3O/C0Iwrr7xSs2fPrsYKAZTEZrNpQGwDLdj0x4pwK/Yla1Kf5tYVBQAAAAA1mGVDqCQpICBAP/74o15++WU1adJEhmGU+C86OlqvvvqqFi9erICAACtLBvD/DYyNMG2vOXhKufmFFlUDAAAAADWbpT1wpPPf5D/44IN64IEHtGXLFm3evFkpKedXtGnQoIG6du2qTp06yWazWVwpgKIc58E5l1ugzcdS1atl/VKuAQAAAACoLMsDnAtsNpu6dOmiLl26WF0KACc0CPbXpU1CtTPhrL1t5f4UAhwAAAAAcAFLh1AB8GwDHIZRrdifbFElAAAAAFCzEeAAqLSBDsOoth9P0+lzuRZVAwAAAAA1l8sDnHnz5rn0+PHx8Vq9erVLbwNAybo1D1cdX2/7tmFIvx1IsbAiAAAAAKiZXB7gjB8/Xh06dKjyIOfYsWO699571bp1a/3yyy9VemwAzvH38VbvlvVMbSsZRgUAAAAAVc7lAU5sbKx27typm266Sc2bN9cTTzyhnTt3VupY586d08cff6wRI0aodevWeuedd1RQUKDWrVtXcdUAnOU4D87K/SkyDMOiagAAAACgZnL5KlQ7d+7Uq6++queff17Hjh3TCy+8oBdeeEGxsbHq3bu3evTooS5duqhhw4YKDw9XeHi4srKydPr0aaWmpmrfvn3asGGD1q9fr/Xr1ys7O9v+4XDEiBF64YUXdNlll7n6bgAoxcA25nlwEtOydeBkhmIbhVhUEQAAAADUPDajmr4qP3funN544w29/vrrOnbs2Pkbt9mcvv6FMr29vXX99dfr0UcfVa9evVxSq7uJj49XdHS0JCkuLk5RUVEWVwT8wTAM9X1+iRLTsu1tT11ziW7v38LCqgAAAACg4tz583e1rUIVFBSkRx99VIcOHdIPP/ygqVOnKiYmRoZhlPsvICBAgwYN0r/+9S8dPXpU8+fPrzXhDeDubDabBjisRrV8H/PgAAAAAEBVcvkQKkdeXl666qqrdNVVV0mSjh8/rtWrVys+Pl7Jyck6ffq0AgICFBERoYiICHXo0EHdu3eXr69vdZcKwEkD20Toi43x9u21h04pMzdfgX7V/hYDAAAAADWS5Z+umjZtqrFjx1pdBoCLMCA2Qt5eNhUUnh/qmJtfqDUHT+mK9o0srgwAAAAAaoZqG0IFoOYKq+OrbjHhprale09aVA0AAAAA1DwEOACqxJC2DU3bS/cks5w4AAAAAFQRAhwAVeLyduYA5/iZLO0/mWFRNQAAAABQsxDgAKgSbRoFq0lYgKlt6R6GUQEAAABAVSDAAVAlbDabhjj0wllCgAMAAAAAVYIAB0CVcZwHZ+PRVJ3NzrOoGgAAAACoOQhwnLBp0yY999xzGjFihKKjo+Xv76/g4GC1adNGU6ZM0cqVK60uEXALfVvXl5/PH28rBYWGVu5LsbAiAAAAAKgZfKwuwN0NGjRIK1asKNaem5ur/fv3a//+/Zo9e7ZuvfVWvffee/Lz87OgSsA9BPr5qHfL+lqxL9netnTvSY3sGGlhVQAAAADg+QhwynH8+HFJUpMmTTR27FgNGDBAzZo1U0FBgdasWaOXXnpJx48f15w5c5Sfn69PP/3U4ooBa13eNsIU4Czbm6zCQkNeXjYLqwIAAAAAz8YQqnK0a9dOn3/+uY4dO6ZXXnlFY8aMUY8ePdS7d289/PDD2rJli9q0aSNJmjt3LsOpUOs5TmSckpGjHQlpFlUDAAAAADUDAU45Fi5cqHHjxsnb27vEyxs0aKCXXnrJvj1//vzqKg1wSzH1g9QyIsjUxmpUAAAAAHBxCHCqwODBg+0/Hzx40LpCADfhuBrVr7sJcAAAAADgYnjEHDi7d+/WZ599puPHj6tZs2bq3LmzunTpoujoaKtLk3R+QuMLvLzIxIAr2jXU+6sO27e3H09TYlqWIsPqWFgVAAAAAHgutw9wVq9erSuvvFJZWVmSJJvtj4lQw8PD1aVLF/u/CRMmWFLj8uXL7T+3a9fOkhoAd9KjRT2FBvjobHa+ve2X3Sd1a+8YC6sCAAAAAM/l9gHOzJkzZRiGvvvuO3Xp0kVRUVEaPHiwvLy8tGzZMi1ZskS//vqrbDabJQFOYWGhnn/+efv2uHHjKnyM+Pj4Mi9PTEys8DEBK/l6e+nydg319ZYEe9vPu04Q4AAAAABAJbl9gLN161Zdd911GjlypL1t8ODBmjZtmrZu3aqxY8eqc+fOGjp0qCX1vfzyy1q/fr0kafTo0erevXuFj+EuQ8GAqnTlJY1NAc6agylKz85TSICvhVUBAAAAgGdy+wlb0tPT1apVK/u2zWZTQUGBJKlTp076/vvvtWjRIvtS3tVp+fLlevzxxyVJDRs21JtvvlntNQDualDbCPl5//EWk1dgaPm+ZAsrAgAAAADP5fY9cBo3bqzTp0/bt4ODg3XmzBn7dmxsrK6++mo9//zzptWgXG3nzp0aPXq08vPz5e/vry+++EKNGjWq1LHi4uLKvDwxMVE9e/as1LEBqwT7+6h3q/paUSS0+XnXCV3TsYmFVQEAAACAZ3L7AKdz587av3+/fbtVq1bavn27aZ+WLVvq7bffrraaDh8+rGHDhik1NVXe3t6aO3euBg0aVOnjRUVFVWF1gPu48pJGpgBn6Z6TyisolK+323f+AwAAAAC34vafooYPH64VK1bYe90MHz5cK1euNIU4q1evlre3d7XUk5CQoKFDhyohIUE2m00ffPCBRo8eXS23DXiaK9ube6Wdzc7X+sOnS9kbAAAAAFAatw9w7rzzTh04cEBeXudLfeihhxQSEqKBAwdq4sSJ6tWrl3777TddccUVLq8lJSVFV155pQ4dOiRJeu211zRp0iSX3y7gqRqHBahjVJip7eddJyyqBgAAAAA8l9sHOJLUrFkzhYaGSjo/WfDixYsVERGhuXPnasOGDerZs6deeeUVl9aQlpamq666Srt27ZIkPf/887rvvvtceptATeDYC+fnXSdkGIZF1QAAAACAZ/KIAMdRz549tW/fPu3bt09Hjx7VmjVrFBkZ6bLby8zM1MiRI7Vp0yZJ0pNPPqm//vWvLrs9oCYZeok5wDl+Jku7E9MtqgYAAAAAPJPbT2J8wdq1a7Vnzx7l5eUpOjpaAwYMUOvWrV1+u7m5uRo9erR+++03SdKDDz6oZ555xuW3C9QU7RqHKCq8juJTs+xtP+86oUuahFpYFQAAAAB4FrcPcBISEjR27FitXbtWkmQYhmw2m/z8/HTrrbdq5syZLu19M2HCBP3000+SpMsvv1y33367duzYUer+fn5+atOmjcvqATyNzWbTlZc00oe/HbG3Ld6ZpAeHxlpXFAAAAAB4GJvh5pNRjBkzRl999ZU6duyoiRMnqn79+jp27Jh++OEHbdiwQQ0bNtS8efM0YMAAl9y+zWar0P4xMTE6cuRIldYQHx+v6OhoSVJcXBzLjsPjrD10Sje9s9bUtuyRwWreIMiiigAAAACgOHf+/O32PXB+/vlndejQQRs3bpSPzx/lzpgxQ8uXL9fkyZM1cuRIbdy4kZ4vgJvq0byeGgT7KSUj1972w44k3Tu4lYVVAQAAAIDncPtJjAsLCzVs2DBTeHPBoEGDtGzZMtlsNs2cOdMlt28YRoX+VXXvG6Am8PayadiljU1tP+xItKgaAAAAAPA8bh/gtGvXTidOnCj18ubNm+uGG26wz1MDwD1dfZl5rqpt8WmKO51pUTUAAAAA4FncPsCZOnWqFixYoEOHDpW6T4MGDZSVlVXq5QCs16tlPYUH+praftyZZFE1AAAAAOBZ3D7AycrKUnR0tIYMGWJfyruogoIC/fzzz+revbsF1QFwlq+3l668pJGpbdF2hlEBAAAAgDPcfhLjxx57TDabTYZhaODAgerdu7eGDRumZs2aKS0tTXPnzlVCQoI+/PBDq0sFUI4RHSL1xcZ4+/amY2eUlJatxmEBFlYFAAAAAO7P7QOcb7/9Vlu2bNHmzZu1efNmrVmzRmvWrDEt7923b18tWLBABw8eVOfOndW6dWsLKwZQmn6tGigkwEfp2fn2tsU7EjWlXwsLqwIAAAAA9+f2Ac4111yja665xr6dlpamzZs3m0KddevW6bfffrOHOkFBQerYsaNWrVplVdkASuDn46Ur2zfSgs3H7W0/7EgiwAEAAACAcrh9gOMoLCxMgwcP1uDBg+1tOTk52r59uz3U2bRpk7Zs2WJZjQBKN/yyxqYAZ/2R00pOz1FEiL+FVQEAAACAe7MswBk/frymTZumSy+99KKP5e/vr+7du5smMjYM46KPC6DqDWwToSA/b53LLZAkGYb0064kTewVY3FlAAAAAOC+LFuFat68eerUqZPGjRun7du3V/nxi86RA8B9BPh6a0i7hqY2VqMCAAAAgLJZFuA8/PDDCgwM1Pz589WlSxeNHTtW27ZtK/M6+/btU69evXTPPfdUU5UAXOHqDpGm7TUHTyk5PceiagAAAADA/VkW4Lz00ks6evSonnrqKdWtW1cLFixQly5dNGbMGG3durXE6+zbt08bNmzQu+++W83VAqhKQ9o2VKCft3270KAXDgAAAACUxdJJjMPCwtSjRw9NmjRJ7733njIyMvT111/r66+/1jXXXKOOHTvKy8tLXl5eOn78uObOnStJatCggZVlA7hIdfy8deUljfTNlgR727dbEzS5b3PrigIAAAAAN2ZZgJOamqqhQ4faV4u6MOnwhf+/++47LVy40HSdC5c9+uij1VcoAJe4rlMTU4Dz+9FUxadmKio80MKqAAAAAMA9WRbgPPnkk9q8ebMkKSQkRH369FHDhg3l5eWlwsJC5ebm6rvvvlNWVpak85MS33jjjbrpppt0ww03WFU2gCoyIDZCYXV8lZaVZ29buC1R9wxqZWFVAAAAAOCeLAtwFi5cKJvNpiFDhuirr75SSEhIsX2OHz+uJ554Qp988okMw9D69es1bdo0C6oFUNX8fLw04rLG+mxDnL3tu60JBDgAAAAAUALLJjE+ceKEJOnxxx8vMbyRpKZNm2r27NlasWKFWrVqpWPHjmnEiBGKj4+vzlIBuMh1nZqYtncmnNXB5AyLqgEAAAAA92VZgFOvXj1JUnBwcLn79u3bV6tWrVLLli2VkJCgBx54wNXlAagGvVrWV0SIv6nt2yLz4gAAAAAAzrMswOnVq5ck6ccff3Rq/4YNG+rpp5+WYRhauXKlK0sDUE28vWwa2SHS1PbdtgT7hOUAAAAAgPMsC3AmTZokwzD04osvavXq1U5dp02bNpKktLQ0V5YGoBpd6zCM6lDyOe1MOGtRNQAAAADgniwLcG644Qb169dPmZmZGjJkiB555BGdPVv2h7YlS5ZIkkJDQ6ujRADVoGuzuooKr2Nq+24rw6gAAAAAoCjLAhxJ+uyzzxQZGam8vDy9/PLLatmypW6//XZ9/fXXSk5Otu+XlZWlN998U9OnT5fNZlOHDh0srBpAVbLZbMV64Xy3NUGFhQyjAgAAAIALLA1wmjZtqjVr1qhnz54yDEOnT5/WrFmzNGbMGDVu3FghISFq2LChQkJCdP/99ysnJ0eSdMcdd1hZNoAqdm1Hc4CTkJat9UdOW1QNAAAAALgfSwMcSWrWrJnWrl2rjz/+WP369ZNhGPZ/586dU0pKigoLC+2Tmj7wwAOaOHGixVUDqErtI0PUtlGIqW3BpniLqgEAAAAA9+NjdQEX3Hzzzbr55puVlJSk5cuXa9OmTTp06JDS09NVp04dtW/fXuPGjVPnzp2tLhVAFbPZbLqha1P984c99rZF25M087rLVMfP28LKAAAAAMA9uE2Ac0Hjxo01fvx4jR8/3upSAFSjUV2a6oXFe3Rh6puMnHz9tCtJ13duam1hAAAAAOAGLB9CBQCS1Cg0QP1aNzC1Ldh03KJqAAAAAMC9EOAAcBtjukaZtlfuT9bJs9kWVQMAAAAA7oMAB4DbGHZpIwUVmfOm0JC+2ZJgYUUAAAAA4B4IcAC4jUA/H43oEGlq+5LVqAAAAACAAAeAe7mhq3nS4j1J6dqVcNaiagAAAADAPRDgAHArvVvUV5OwAFPbAnrhAAAAAKjlCHAAuBUvL5tGO/TC+XpLgvILCi2qCAAAAACsR4ADwO2M7mJejSolI0fL9yVbVA0AAAAAWI8AB4Dbad0wWJ2i65raPtsQZ00xAAAAAOAGCHAAuKXx3aNN20v2nNTJ9GyLqgEAAAAAaxHgAHBL13aKVB1fb/t2QaGhBZuOW1gRAAAAAFiHAAeAWwoJ8NXIjpGmti82xMkwDIsqAgAAAADrEOAAcFs39TAPozqUck4bjqRaVA0AAAAAWIcAB4Db6hYTrpYRQaa2zzYcs6gaAAAAALAOAQ4At2Wz2Yr1wlm0PVFns/MsqggAAAAArEGAA8Ct3dA1Sj5eNvt2dl6hvt2SYGFFAAAAAFD9CHAAuLUGwf4a2r6Rqe2LjXEWVQMAAAAA1iDAAeD2xjsMo9oWn6ZdCWctqgYAAAAAqh8BDgC3N7BNhBqHBpjaPll31KJqAAAAAKD6EeAAcHveXjaN6x5lavt683Fl5ORbVBEAAAAAVC8CHAAeYUKvZvIuMpnxudwCfbX5uIUVAQAAAED1IcAB4BEiw+roinYNTW0frzkqwzAsqggAAAAAqg8BDgCPcUvvGNP23hPp2ng01aJqAAAAAKD6EOAA8Bj9WzdQTP1AU9vHa5nMGAAAAEDNR4ADwGN4edl0Sy9zL5xF2xOVkpFjUUUAAAAAUD0IcAB4lBu7RcnP54+3rrwCQ19sjLOwIgAAAABwPQIcAB4lPMhP13SMNLV9svaYCgqZzBgAAABAzUWAA8Dj3OowmfHxM1lavu+kRdUAAAAAgOsR4ADwOJ2j6+rSJqGmtlmrmcwYAAAAQM1FgAPA49hstmK9cFbsS9aBk+kWVQQAAAAArkWAA8AjjerSVOGBvqa2D387Yk0xAAAAAOBiBDgAPFKAr7du7tXM1Pblpnidycy1qCIAAAAAcB0CHAAe69bezeXjZbNvZ+cV6rMNLCkOAAAAoOYhwAHgsRqHBejqDuYlxT9afUT5BYUWVQQAAAAArkGAA8CjTe3X3LSdkJatH3eesKYYAAAAAHARAhwAHq1Ls3B1aVbX1PbBb4etKQYAAAAAXIQAB4DHm9qvhWn796Op2hp3xppiAAAAAMAFCHAAeLwRlzVW49AAU9uH9MIBAAAAUIMQ4ADweL7eXprUN8bUtnBbohLOZFlUEQAAAABULQIcADXChB7NFOD7x1tafqGhD1bRCwcAAABAzUCAA6BGCA/y07ju0aa2ueuPKS0zz6KKAAAAAKDqEOAAqDHuHNBSXrY/ts/lFujjdUetKwgAAAAAqggBDoAaI7peoEZ2bGJq+/C3I8rOK7CoIgAAAACoGgQ4AGqUuwe2NG2nZORowabjFlUDAAAAAFWDAAdAjXJZ0zD1b93A1PbuykMqKDQsqggAAAAALh4BDoAa5+5B5l44h1PO6eddSRZVAwAAAAAXjwAHQI3Tv3UDXRIZamp7c/khGQa9cAAAAAB4JgIcADWOzWYr1gtna9wZrT102qKKAAAAAODiEOAAqJFGdohU07p1TG3/W7rfomoAAAAA4OIQ4ACokXy8vYr1wvntwCn9fjTVoooAAAAAoPIIcADUWOO6R6thiL+p7bUl9MIBAAAA4HkIcADUWAG+3rproLkXzrK9ydoad8aaggAAAACgkghwANRoE3vFqH6Qn6nttSUHLKoGAAAAACqHAAdAjVbHz1t3DDD3wvll9wntSjhrUUUAAAAAUHEEOABqvFv7xKhuoK+pjRWpAAAAAHgSAhwANV6wv49u79fC1PbDjiTtP5FuUUUAAAAAUDEEOABqhcn9miskwMe+bRjMhQMAAADAcxDgAKgVQgN8NbVvc1Pbd9sStDeJXjgAAAAA3B8BDoBa47b+LRTib+6F85+f91pYEQAAAAA4hwAHQK1RN9BPtw8wz4Xz484T2h6fZlFFAAAAAOAcAhwAtcrt/VsUW5HqJXrhAAAAAHBzBDgAapWQAF/dM6iVqW3Z3mRtPHLaoooAAAAAoHwEOABqnUl9YtQg2N/U9uKPe2UYhkUVAQAAAEDZCHAA1DqBfj66b4i5F866w6f124FTFlUEAAAAAGUjwAFQK93cq5mahAWY2v79E71wAAAAALgnAhwAtZK/j7f+74pYU9uWuDP6cecJiyoCAAAAgNIR4ACotW7sFqWY+oGmtn8t3qO8gkKLKgIAAACAkhHgAKi1fL299Miwtqa2Qynn9NmGOIsqAgAAAICSEeAAqNVGdohUp6gwU9t/f9mnjJx8iyoCAAAAgOIIcADUal5eNj0+or2pLSUjV++sOGRRRQAAAABQHAEOgFqvT6v6uqJdQ1PbuysO6eTZbIsqAgAAAAAzAhwAkPTXEe3kZftjOyuvQC//st+6ggAAAACgCAIcAJDUplGIxnWPNrV9vuGY9p9It6giAAAAAPgDAQ4A/H8PX9lGdXy97duFhvTPH/ZYWBEAAAAAnEeAAwD/X6PQAN05oIWpbcmek1q296RFFQEAAADAeQQ4AFDEXYNaqUGwv6nt6YW7lFdQaFFFAAAAAECAAwAmwf4+emx4W1PboeRz+mjNUYsqAgAAAAACHAAo5sauUeoYFWZqe+WXfTqVkWNRRQAAAABqOwIcAHDg5WXT9GsvNbWlZ+fr3z/ts6giAAAAALUdAQ4AlKBbTLhGdW5iavtswzHtTEizqCIAAAAAtRkBDgCU4vER7U3LihuGNPPbXTIMw8KqAAAAANRGBDgAUIrGYQG6b0grU9v6I6f17dYEiyoCAAAAUFsR4ABAGe4Y0FJR4XVMbc98v1tns/MsqggAAABAbUSAAwBlCPD11t9HXmJqS07P0Us/7rWoIgAAAAC1EQEOAJTjqksbaUjbCFPbnLVHtT2eCY0BAAAAVA8CHAAoh81m08zrLpO/zx9vmYWG9OTX21VQyITGAAAAAFyPAAcAnNCsfqAeuCLW1LYtPk2frjtqUUUAAAAAahMCHABw0p0DWqpVRJCp7V8/7tXJ9GyLKgIAAABQWxDgAICT/Hy89I9Rl5na0rPz9ez3uy2qCAAAAEBtQYADABXQt1UDje7S1NT2zZYELd170qKKAAAAANQGBDgAUEFPXN1eoQE+prYnF2xXRk6+RRUBAAAAqOkIcACggiJC/PXE1e1NbQlp2frX4j0WVQQAAACgpiPAAYBKGN8jWn1a1je1fbTmqNYfPm1RRQAAAABqMgIcAKgEm82m58d0UICv+W308S+3KTuvwKKqAAAAANRUBDgAUEkx9YP0yLC2prZDKef06q/7LaoIAAAAQE1FgAMAF2FqvxbqFF3X1Pb2ikPacTzNmoIAAAAA1EgEOABwEby9bPrXmI7y9bbZ2woKDf3li63KyWcoFQAAAICqQYADABepbeMQ3Tektalt74l0/efnfRZVBAAAAKCmIcABgCrwp8Gt1T4y1NT2zopD2nCEVakAAAAAXDwCHACoAn4+XvrPuE7y8/7jbdUwpL98sVXncvItrAwAAABATUCAAwBVpH1kqP48rI2p7djpTD27aLdFFQEAAACoKQhwAKAK3TmgpbrHhJvaPl13TEv3nrSoIgAAAAA1AQEOAFQhby+bXhrXSYF+3qb2v87fptRzuRZVBQAAAMDTEeA44eTJk1q4cKGmTZumESNGqEGDBrLZbLLZbJoyZYrV5QFwMzH1g/T3kZeY2k6m5+jxBdtkGIZFVQEAAADwZD5WF+AJGjVqZHUJADzMhJ7R+mlXkpbtTba3/bjzhD5Zd0y39I6xsDIAAAAAnogeOBUUHR2tYcOGWV0GADdns9n0rzEdVS/Iz9T+j4W7tDcp3aKqAAAAAHgqAhwnTJs2Td99952SkpJ07Ngxvf3221aXBMADNAwN0L/HdjS15eQX6v/mblJ2XoFFVQEAAADwRAQ4Tpg5c6auueYahlIBqLDL2zXS1H7NTW37TmTome93WVMQAAAAAI9EgAMALvb4iHa6JDLU1Pbx2mNavCPJoooAAAAAeBoCHABwMX8fb712cxfV8XVYWvzLbYpPzbSoKgAAAACehAAHAKpBq4hgzbz+UlNbWlae7vtkk3LymQ8HAAAAQNlYRtwNxMfHl3l5YmJiNVUCwJXGdovSyv0p+m5rgr1ta3yanlm4W/8YdZmFlQEAAABwdwQ4biA6OtrqEgBUA5vNpudGX6Ydx9N0OOWcvX3O2qPq3jxc13duamF1AAAAANwZQ6gAoBqFBPjqzVu6KsDX/Pb7+Jfbte9EukVVAQAAAHB39MBxA3FxcWVenpiYqJ49e1ZTNQBcrV3jUD07qoP+Mm+rvS0rr0D3fPy7vr2/v4L9eWsGAAAAYManBDcQFRVldQkAqtmYblHaePS05q7/I8A9lHxOf/1ym/43oYtsNpuF1QEAAABwNwyhAgCLTL/2Ul3WNNTU9v22RL294pBFFQEAAABwVwQ4AGCRAF9vvTmxm0IDzJ0hX1i8R0v3nLSoKgAAAADuiAAHACwUXS9Qr9zUWUVHTBmG9MDczTqYnGFdYQAAAADcCgEOAFjs8naN9Miwtqa29Jx83Tl7o9Ky8iyqCgAAAIA7IcABADfwp8GtdE3HSFPboZRzeuizzSooNCyqCgAAAIC7YBUqJ6xatUoHDhywb6ekpNh/PnDggGbNmmXaf8qUKdVUGYCawmaz6cUbO+lwyjntTDhrb1+6N1kv/rhXj49oZ2F1AAAAAKxmMwyDr3bLMWXKFM2ePdvp/av6IY2Pj1d0dLQkKS4ujmXHgRrs+JksXffaKp06l2tqf/HGjhrbPdqiqgAAAIDawZ0/fzOECgDcSNO6dfTmLd3k42Uztf9twXatPpBSyrUAAAAA1HQEOE6YNWuWDMNw+h8AXIyeLerp6esvM7XlFxq6++Pftf9EukVVAQAAALASAQ4AuKGbezXTnQNamNrSs/M1ddYGJafnWFQVAAAAAKsQ4ACAm/rbiPYafmljU1t8apbu+GijsnILLKoKAAAAgBUIcADATXl52fTy+M7qFF3X1L417owe/nwLy4sDAAAAtQgBDgC4sTp+3npvUndFhdcxtS/emaQZ3+5k3i0AAACgliDAAQA3FxHirw+n9FBIgI+pfc7ao3r11wMWVQUAAACgOhHgAIAHiG0Uordv6SZfb/Py4i//sk9z1h61qCoAAAAA1YUABwA8RN/WDfTy+M6ymTMcTftmh77flmhNUQAAAACqBQEOAHiQazo20dPXX2ZqMwzpoc8367cDKRZVBQAAAMDVCHAAwMPc2jtGDw2NNbXlFRi666ON2hp3xpqiAAAAALgUAQ4AeKAHr4jVrb1jTG3ncgs06YP12pmQZlFVAAAAAFyFAAcAPJDNZtOM6y7VyI6Rpva0rDzd+v567TuRblFlAAAAAFyBAAcAPJS3l03/GddJA2IbmNpPn8vVxPfW6VByhkWVAQAAAKhqBDgA4MH8fbz1zq3d1btlPVN7cnqObn53nY6dyrSoMgAAAABViQAHADxcHT9vvT+5h7rFhJvak85ma8K7a3X8TJZFlQEAAACoKgQ4AFADBPn76MOpPdQxKszUfvxMlm56Z43iTtMTBwAAAPBkBDgAUEOEBvjqo9t6qn1kqKk97nSWbnpnrY6eOmdRZQAAAAAuFgEOANQgdQP99PHtPRXbMNjUfvxMlsa/vVYHmdgYAAAA8EgEOABQw9QP9tend/ZW20Yhpvaks9m66Z212s8S4wAAAIDHIcABgBooIsRfc+/qrUschlMlp+fopnfWanfiWYsqAwAAAFAZBDgAUEPVC/LT3Dt7q5PDxManzuVqwrtrtSXujDWFAQAAAKgwAhwAqMHCAn01545e6tqsrqn9TGaebn53rVbuT7amMAAAAAAVQoADADVcaICvPrq9l3o2r2dqz8wt0G2zNmjhtgSLKgMAAADgLAIcAKgFgv19NOu2HhoQ28DUnvf/2rvv+CqqxP3jzy1JbhpJIIQaCAgIAgLSBaTYFURAEWzoYsf9qauyX1fUdXXXiq66uyKiYMWCFbFQpKlgEEHp0jukEBLSc++d3x9JhvTchJA7ST7v1ytmMufM3HPvyRHm4cwZj6E/z12nd1bv9VPLAAAAAPiCAAcAGoiQQKfemNRXI89uUWy/YUiPfL5RLy3eLsMw/NQ6AAAAABUhwAGABiTQaddLE3rphgFtS5W9uPgPPfrFJrk9Xj+0DAAAAEBFCHAAoIFx2G36x+iuuveCjqXK3lm9V7e/s1YZOW4/tAwAAABAeQhwAKABstlsuveCTvrH6K6y2YqXLdmaoPGvrdLRtGz/NA4AAABAKQQ4ANCA3TgwTq9M7KVAR/E/DjYdStOY//6obUdO+KllAAAAAIoiwAGABm7k2S313q39FRkSUGz/odRsXfXqT/phe5KfWgYAAACgEAEOAEB94xrrs7sGqW2TkGL7T+S4ddPseL33M48ZBwAAAPyJAAcAIElqFx2qT+88V73bRhXb7/YaevizjXr4sw3KdfOEKgAAAMAfCHAAAKYmYUF675b+urx7i1Jl7/28T9e/8bOS03P80DIAAACgYSPAAQAU4wpw6JWJvXTXsDNKlcXvPqYr/vOjNh1K9UPLAAAAgIaLAAcAUIrdbtPUSzrr5Ym95Aoo/kfFweNZuurVVVrw+2E/tQ4AAABoeAhwAADluqJHS82741y1iHAV25+V59GU93/Vv77eojwP6+IAAAAApxsBDgCgQt1aRejLuwerT4nFjSVp5opduu71n3U0LdsPLQMAAAAaDgIcAEClmoYH6f1bB2hiv9hSZfF7junyl3/QTzuT/NAyAAAAoGEgwAEA+CTQade/xnTXk1d2U6Cj+B8fSek5un7Wz/rv0h3yeg0/tRAAAACovwhwAAA+s9lsun5AW318x0C1igwuVuY1pOe+26Zb3v5FxzJy/dRCAAAAoH4iwAEAVFmP2Eh99efBGn5m01Jl329N0KUvreCWKgAAAKAGEeAAAKolKjRQb0zqqwcu6iS7rXjZ0bQcXTfrZz377VaeUgUAAADUAAIcAEC12e023T2io96Z3F9NQgOLlRmG9L9lO3XVjFXam5zhpxYCAAAA9QMBDgDglA3qEK1v7hmiIR2jS5X9tv+4Ln/5B3227oAfWgYAAADUDwQ4AIAaEdPIpbdu7qeHL+uiAEfxe6rSc9y678PfNOX9X1ngGAAAAKgGAhwAQI2x22269bz2+vTOQWoXHVqqfMHvh3XRiyu0aPNRP7QOAAAAqLsIcAAANa576wh99efBurp361JlSek5uvXtX/SXj9YrNSvPD60DAAAA6h4CHADAaREa5NRzV/fQf67tpciQgFLln/56UBe/uEIr/kj0Q+sAAACAuoUABwBwWo08u6UW3neezu8cU6rsSFq2bnwzXg99+juzcQAAAIAKEOAAAE67mHCXZk3qo+euOlvhQc5S5XPj9+uCF5br6w2HZRiGH1oIAAAAWBsBDgCgVthsNl3dJ1bf3neeBnco/bjxxBM5uuu9X3Xr22t1ODXLDy0EAAAArIsABwBQq1pFBuudyf30xJXdFBLoKFW+eMtRXfjCCr310x55vMzGAQAAACQCHACAH9hsNt0woK0W3neehp/ZtFR5eo5bj325SVfN+EmbD6X5oYUAAACAtRDgAAD8pnVUiN68qa9emdhL0WGBpcrX7Tuuka+s1GNfbGSRYwAAADRoBDgAAL+y2Wwa1aOlFv9lqMb3aV2q3GtIb63aqxHPL9NHa/bLy21VAAAAaIAIcAAAlhAZEqhnr+qh92/tr7gmIaXKkzNyNfWT3zVuxk/acCDVDy0EAAAA/IcABwBgKeeeEa1v7z1Pf7mwk4Kcpf+YWrfvuK747w/622cblJSe44cWAgAAALWPAAcAYDmuAIf+3/kdtfgvQ3XRWc1KlRuG9P7P+zTsuWX637Idys7z+KGVAAAAQO0hwAEAWFZs4xDNvLGP5tzcV+2iQ0uVp+e49ey323T+9OX6Yv1B1scBAABAvUWAAwCwvGFnxujbe4fowYvPVHCAo1T5weNZuueD9Rrzvx8Vv/uYH1oIAAAAnF4EOACAOiHI6dCU4R30/QNDNfacVmXW+e1Aqsa/tkq3v/OLth89UcstBAAAAE4fAhwAQJ3SIiJYL4zvqfl3D1b/do3LrPPdpqO6+N8rdP9Hv2n/scxabiEAAABQ8whwAAB1UvfWEfrgtgGaeUNvtS9jfRyvIX3y6wGNmL5Mj3y+UQlp2X5oJQAAAFAzCHAAAHWWzWbTRV2b67v7ztPjV3RVVEhAqTp5HkPvrN6r855bqqe+3qKUjFw/tBQAAAA4NQQ4AIA6L8Bh16Rz47TsweH6fyM6KCSw9ELH2XlevbZil857dqme/24bQQ4AAADqFAIcAEC9EREcoL9cdKZWTB2uyYPbKdBZ+o+5Ezlu/WfpDg1+5ns99c0WJaXn+KGlAAAAQNUQ4AAA6p3osCA9MvIsLX9wmCb2ayOH3VaqTkauR68t36XBz3yvf8zfrKOskQMAAAALI8ABANRbLSKC9dTY7lryl6Ea3bOlbKVzHGXnefXmj7s15Jmlmvb5Bh1I4alVAAAAsB4CHABAvRcXHaqXJvTSovvO05herVTGhBzlerx6d/U+DX1ume75YJ02Hkyt/YYCAAAA5SDAAQA0GB1iwvXiNT31/f3DNL5PaznLSHI8XkNfrD+kka/8oOtmrdbyPxJlGIYfWgsAAACcRIADAGhw4qJD9exVPbT0gWG6tn8bBTjKmJIj6ccdyZr0ZrwufWmlPv31gHLd3lpuKQAAAJDPZvDPipZ34MABxcbGSpL279+v1q1b+7lFAFC/HE7N0mvLd+nDNfuVlecpt16LCJduGNhWE/q2UePQwFpsIQAAAGqDla+/CXDqACv/AgFAfZKSkat3V+/VW6v2KCk9t9x6QU67rujRUpPOjVO3VhG12EIAAACcTla+/ibAqQOs/AsEAPVRdp5Hn607qNdX7tKuxIwK6/ZpG6VJ58bpkm7NFeDgzmQAAIC6zMrX305/NwAAAKtxBTg0sV8bXdMnVku2Jmjmip1asyelzLq/7E3RL3tTFBMepOv6t9WEfrFq1shVyy0GAABAfccMnDrAygkgADQU6/cf11s/7dFXvx9Snqf8PzoddptGdI7Rtf3a6LxOTeUo65nlAAAAsCQrX38T4NQBVv4FAoCGJvFEjubG79N7P+/V0bScCuu2jHDp6j6xGt83Vq0ig2uphQAAAKguK19/E+DUAVb+BQKAhirP49V3m47orZ/2lHt7VSGbTRrWqakm9GujEZ1jWCsHAADAoqx8/c0aOAAAVEOAw66RZ7fUyLNbauPBVL27eq++/O2QMnNLP4bcMKSl2xK1dFuiosOCNLpnS407p7XOatnIDy0HAABAXcQMnDrAygkgAOCk9By3vlx/SHPj92nDwdRK63duHq5x57TW6F4tFRPOwscAAAD+ZuXrbwKcOsDKv0AAgLJtPJiqufH79MX6Q0rPcVdY126TzuvUVGPPaa2LzmomV4CjlloJAACAoqx8/U2AUwdY+RcIAFCxzFy3vvrtsOau2ad1+45XWj88yKmLujbXqB4tNKhDNOvlAAAA1CIrX38T4NQBVv4FAgD4bkdCuj5bd0Cf/XpQh1KzK60fFRKgS7q10KgeLdS/XRMeSQ4AAHCaWfn6mwCnDrDyLxAAoOq8XkOrdyXrk18P6puNh8tc+LikpuFBurx7C408u4XOaRMlO2EOAABAjbPy9TcBTh1g5V8gAMCpychx67tNR/Tprwf1484k+fKncssIly7u1lwXd22uvnGNmZkDAABQQ6x8/U2AUwdY+RcIAFBzjqRma8GGw5r/2yGt33/cp2Mahwbqgi4xurhrcw3qEM0CyAAAAKfAytffBDh1gJV/gQAAp8f+Y5n66vfD+ur3Q9p0KM2nY0IDHRp2Zowu6tpMwzvHqJEr4DS3EgAAoH6x8vU3AU4dYOVfIADA6bczMV1f/XZY838/pB0J6T4dE+CwaUD7JhrROUYjOseobZPQ09xKAACAus/K198EOHWAlX+BAAC1xzAM/XE0Xd9uPKLvNh3R5sO+zcyRpPZNQzXizBiN6BKjvnGNeTw5AABAGax8/U2AUwdY+RcIAOA/+49l6rtNR7Rw01Gt2XvMpwWQJSk8yKkhnaI1/MwYDTszRk3Dg05vQwEAAOoIK19/E+DUAVb+BQIAWENSeo4Wbz6q7zYd0Y87kpXr8fp8bLdWjTS4Q1Od1zFaveOiFORkIWQAANAwWfn6mwCnDrDyLxAAwHpOZOdp5fYkfb81Qcu2JSgpPdfnY10BdvVr10RDOkRrcMdodW4eLpuNx5QDAICGwcrX305/NwAAANSscFeALuveQpd1byGv19DvB1P1/dYELd2aoA0HUys8NjvPqxV/JGrFH4mSpOiwIA3pGK3BBYFOs0au2ngLAAAAKIEZOHWAlRNAAEDdkpCWrWXbEvX91gSt3J6ojFxPlY5vFx2qAe0ba0D7JurfromaRxDoAACA+sPK19/MwAEAoAGJaeTS+L6xGt83Vrlur9buTdEPOxL1w/Yk/X4wtdKFkHcnZWh3Uobmxu+XJMU1CckPcwpCnRYRwbXwLgAAABoeZuDUAVZOAAEA9cfxzFz9tDNZK7cnauX2JB1IyaryOdo2CVH/do3Vr10T9W4bpbgmIayhAwAA6gwrX38zAwcAAEiSIkMCzbVzDMPQ3uRMrdyRpB+2J+qnnck6ke2u9Bx7kzO1NzlTH/1yQJIUHRaoc9pEqXfbKPWJi1LXlhFyBfCUKwAAgKoiwAEAAKXYbDbFRYcqLjpUNwxoK4/X0JbDaVq9K1mrdx1T/O5kpfkQ6CSl52rh5qNauPmoJCnQYVf31hHq3TbK/IoOCzrdbwcAAKDOI8ABAACVctht6tYqQt1aReiWIe3NQOfn3ce0eley4ncfU2pWXqXnyfXkr7uzdm+Kua9tkxD1jI1Uj9aR6hEbwSwdAACAMhDgAACAKisa6Ewe3E5er6GtR05o9a5k/bw7WWv3HldSeo5P5yq87eqL9YckSU67TWc2D1eP2Ej1aB2hHrGR6hgTLoedtXQAAEDDRYADAABOmd1u01ktG+mslo30p8HtZBiG9h3L1Nq9Kfplb4p+3ZuibUdPVPqUK0lyew1tOpSmTYfS9P7P+ftCAh3q1jJCPWIjdHbrSHVt2UhxTUJlJ9QBAAANBAEOAACocTabTW2bhKptk1CNPSf/6Q2pWXlav/+41u45prX7UrRu33Fl5np8Ol9mrkfxe44pfs8xc19ooENdWjRS15aN1LVlhM5q2UidmoUr0Gk/Le8JAADAnwhwAABArYgIDtDQTk01tFNTSZLb49XWIyf024Hj+m3/cf22P1XbE07I68MsHUnKyPXol4IZPoUCHDZ1jAkvCHUaqWurCHVp0UhhQfyVBwAA1G38bQYAAPiF02E319G5rn9bSVJGjlsbD6bmhzoHUvXb/uM6kJLl8znzPIY2H07T5sNp+nht/j6bTWrTOESdmoWrc/Nwndk8XGc2C1e76FA5HczWAQAAdQMBDgAAsIzQIKf6t2+i/u2bmPuS03P0+4FUrd9/XL8fOK6Nh9KUeMK3BZIlyTBOLpS8qOBx5lL+I83PiAnTmc3CdGbzRurcPFydmoerZYRLNhtr6wAAAGshwAEAAJbWJCxIwzvHaHjnGHNfwolsbTqUps2H0rTpUKo2HUrT3uTMKp031+PVlsNp2nI4TdIhc3+4y6kzm4WrY7NwdYgJM79aNHKxaDIAAPAbAhwAAFDnxIS7FHOmS8PPPBnqpGXnaUvB06s2HkrV5kNp2p6QLo+vi+oUOJHtLrW2jiQFBzh0Rkyozmgapg5Nw3RGQbDTtkmIgpyOGnlfAAAA5SHAAQAA9UIjV0Cp26+y8zzakZCurUdOaNuRNG07mq5tR9J0NM33W7AKZeV5tPFgmjYeTCu232G3qU3jEJ3RNMwMeNpFhyquSaiiwwK5HQsAANQIAhwAAFBvuQIc5kLJRR3PzNW2Iye07egJbT1yQn8cOaFtR07oRI67yq/h8RranZSh3UkZWryleFlYkFNx0SFq2yRU7ZqEKi46VO0Kfm4SSrgDAAB8R4ADAAAanMiQwFKzdQzD0OHUbG07kh/q7EhI147EdO1MSFd6NYIdSUrPcZc5a0eSwoOciovOD3XimoQoriDgiW0crKZhQYQ7AACgGAIcAAAASTabTS0jg9UyMrjYgsmGYSjhRI52JKRrZ2J6se/VuRWr0IkctzYcTNWGg6mlylwBdrWOClFsVLBiG4coNipEsY0LthuHqJEroNqvCwAA6iYCHAAAgArYbDY1a+RSs0YuDeoQXawsLTtPuxIzioU6u5MytC85U7keb7VfMzvPmz8DKCG9zPKI4ID8QCcqpCDgCVbrgqCnVWSwggNZVBkAgPqGAAcAAKCaGrkC1DM2Uj1jI4vt93gNHTqepb3JmdqdnKE9SQVfyRnadyxTeZ6qPRmrpNSsPKUezCvz1ixJigoJMGcTtYxwndyOzN+OCXfJwSPRAQCoUwhwAAAAapjDbjNvdxrcsfisncJwZ3dShvYmZ2h3Uqb2FIQ8B1KyTmnmTqGUzDylZOZp06GyAx6H3abmjVxmoFM06GkREawWES5FhgSwDg8AABZCgAMAAFCLioY7UtNiZV6voaMnsrX/WJb2HcvU/mOZ2p+SqQPHsrQ/JVNH0rJlnNrkHUn5IdLB41k6eDxLUkqZdQKddjVrFKRm4S41i3CpeSNX/s8Ft5M1L/jO7VoAANQOAhwAAACLsNttBTNggtWvXeNS5Tlujw4dz9b+Y5n5AU+RcGf/sUylZObVWFty3V7tP5al/ceyKqzXyOVU8whXiWAnP+iJaeRSdFigosOC5Aog6AEA4FQQ4AAAANQRQU6H2kWHql10aJnlGTluHU7N0sHj2Tp8PEuHjudvHzqepcOpWTp0PLtGbtEqKi3brbTsdP1xtOwFlws1cjkVHR6kpmFBahoepOiC74U/F+5rEhaoAIe9RtsIAEB9QIADAABQT4QGOdUhJlwdYsLLLPd6DSVn5BaEOcXDncLtxBPVfzR6RfKDHrd2JWZUWrdxaKCiwwJPBj1hQYoOD1Lj0EA1CQ0s+B6kxmGBCg10sFYPAKBBIMABAABoIOx2mznb5ezWkWXWyXV7lZieoyOp2UpIy9aRgq+EtPx9R09k62hqtjJyPaetnccycnUsI7fSWT1S/lo9haHOyYAnfyZP8X35oU+jYCeBDwCgTiLAAQAAgCnQaVeryGC1igyusN6J7DwdTcvR0bRsHS0R8uRvZysxPeeUH5lemVy3V4dTs3U4Ndun+k67TVFFQp2okEBFhAQoMjjA3I4KCVRkSICiQgIUEZy/zW1dAAB/I8ABAABAlYW7AhTuClCHmLBy6xiGobQstxLTs5VwIkdJ6blKPJGjxBM5Skov/j05I1ce7+kNeyTJ7TXMNlRFWJBTEcEBigoNUGRBqBMZUnQ7UFEF+yKC87cbBRP8AABqDgEOAAAATgubzaaIkABFhASUuy5PIa/XUEpmrhLTc5R0IleJ6dkFAU+uGfQkp+eat1fV9GLMlUnPcSs9x13w6HXfBQc4FBEcoEbBTjVy5Yc6jVzOgu8n9+fXKb4v3OWUkwAIAFCAAAcAAAB+Z7fb1CQsSE3CgqTmFdc1DEPpOW4dy8hVckaujhUEO8kZuTqWkT+bJyWj6L5cZZ7GNXsqkpXnUVaeR0fSqnd8aKDDDHZKBkHhLqfCXU6FBQUozOVUeJBTYS6nwoLyv8JdToUGOZkFBAD1BAEOAAAA6hSbzWbewtW2SdmPVC8pO89jhj3JGTnmTJ7jmXk6npWrlMw8pRZuZ+QpNStP6Tnu0/xOKpeR61FGrsfnNX7K4gqwKywooCDsKfgqGfgU+znADIDCitQJctpZABoA/IgABwAAAPWeK8Dh0+LMReW6vUrNylNqQcBzPDNPKZm5J4OegtAnJTM/CErNyt/212yf8mTneZWdl38b2qlw2G0KCXQoNNCpkKCC74EOhQY5S+0PDXIqNMihkECnQgMdCgkq+B5YZH+QQ8EBPAYeAHxFgAMAAACUIdBpNx+7XhU5bo9Ss/KUluVWWnae0rLylJbtVlpWfsiTv6942YkiZaf7yV3V5fEaOpHt1onsmpuZZLNJIQHFA56woJNBUHCgQyGB+UGPK8Bh/uwKyN9nlhWpZ/4c4GANIQD1CgEOAAAAUIOCnA7FhDtUybrNZTIMQ9l53iLhzsmwJz8UOhkGpWXnKT3Ho/Ts/Nu90rPdOlGw2LJhzQyoFMM4eZtY4mk4f4DDJldA2SFQ4c/FQqAAp4ID7UXKnHIF2OUKcMgVYFeQ8+T3oML9TocCHDZmEgE47QhwAAAAAIuw2WwKDswPGZo1clXrHF6voaw8j9Jz8mfLFIY76Tl5JX52K838Oa94/YI67lp4tPvplOcxlOep2VlDZbHbZIY7rgCHgpwF34tsu5x2BRV8L1qn6DFBBcFRqWMC7HIVhkZOhwKddgU57cwwAhoYAhwAAACgHrHbbQVr0DjVrFH1z2MYhnLcXjPUycx1KzPXo4ycEt9z3crMOfk9PdetzBy3MnI9+cfkFK9TxzOhMnmNk08ck/Jq7XXttvxb/QId+UFPoCM/2CkMeALN7fyykvsLy4IKzlHmcSXKyitnFhJw+hHgVMG+ffv08ssva8GCBdq3b5+CgoLUoUMHjR8/XnfddZdCQkL83UQAAACgRthstoIZIo4qrwNUnsJQqGj4k5GTH/SY33M9JwOgHLcZjGTneZSZ61FWbpHtvOLbdeXWsZriNQoXqfZKp3mWUWVsNhULegIchV82BRTsL/ZzYbkzf5/5s8OuAGeJnx22IseXqF/G8YFOW5G6Ba9VsM9pJ2hC3UWA46MFCxbouuuuU2pqqrkvMzNTa9as0Zo1azRr1ix9/fXXat++vR9bCQAAAFhX0VCoSQ2fuzAcyioIc7LyPCe3c/NDnuwy9mflFSnL9Sgzz6Nsc79b2Xle5bg95nerLjLtb4Yh5bi9+bO2/N2YShTOGApwFgl4HDY5CwKeAIddTodNAfb87w77yfCnsMxpLzym6HZ+HWfBcQFllJ08vmi9guMK21HyfOWcx2EniGpoCHB88Ntvv2n8+PHKzMxUWFiYHnroIQ0fPlxZWVn64IMP9Prrr2vbtm26/PLLtWbNGoWFhfm7yQAAAECDUjQcijqNr+P2eM2gIrtgBtDJba+y3R7lmKFP8bLCIKis/TlFjs0uOLboMag5uR6vcj1S/n/qLptNZshUGAAVDYkc9vz9Dru94Lvt5HfHyf12W8F+h61EvdLHFStzlDhnwX6HXb69Zqnj7aXr24qUlWhfQ5xJRYDjg3vvvVeZmZlyOp1auHChBg4caJaNGDFCHTt21NSpU7V161a98MILevTRR/3YWgAAAACni9ORv3hwaM3cVeaTwtlFOW6vcgrCn1yPVzl5+d9z3flBT647f7uwLKessoLzmPUKynKK7i9RVvSYur6wdX1iGEXCqAbIbpMZ+jjstvyfHXbZbTY57PlldrvMEMhRNDiy2WQvCILsRcoddpuyUxL8/dbKZTOMhnanaNWsWbNG/fr1kyTdfvvtmjFjRqk6Xq9X3bp105YtWxQVFaWjR48qICCgxtpw4MABxcbGSpL279+v1q1b19i5AQAAAMBXHq9xMtTxeIoHQgXbeZ78ACjP7S14EljBz0X2mT97Cn52l/jZrFtGfXeJc3oM5RWETrkeb4NbCwk1y52WpIOv3iTJetffzMCpxOeff25u33zzzWXWsdvtuvHGG/XQQw8pJSVFy5Yt04UXXlhLLQQAAACA2uGwn3zUvVRz/2hdkzxeo5IQqWSAdHJ2kbugbv52/rFub/53T+G+EmX5xxRsF5S5PYZZL387/7tZXtBGd5HzF57bU/AFlESAU4mVK1dKkkJDQ9W7d+9y6w0dOtTc/uGHHwhwAAAAAMAP8m+FyV8Pqa7yegvCniLhTmHokx9QFQ2Pyg6ECs/hKfh+8mdvsf2eguCqrP2e8o7xlN7vKXnOksd5irTFyH9PJeujYgQ4ldiyZYskqUOHDnI6y/+4OnfuXOoYAAAAAACqym63KdBuU6Ds/m5KrTEMQ15Dcnu9pYIir1H05+LBT57HK69hyOPVySDJKB5gFR7vLRo2GcWDp8I6SUcP6ZFX/f1plI0ApwLZ2dlKSkqSpErve4uKilJoaKgyMjK0f//+Kr3OgQMHKiw/fPhwlc4HAAAAAEBdYrPZ5LBJDrt/Z04dOBCkR/zagvIR4FTgxIkT5rYvjwYvDHDS09Or9DqFCxQDAAAAAACUpeHMx6qG7OxsczswMLDS+kFB+c8SzMrKOm1tAgAAAAAADQ8zcCrgcrnM7dzc3Err5+TkSJKCg4Or9DqV3XJ1+PBh81HmAAAAAACg4SHAqUB4eLi57cttURkZGZJ8u92qKCs9Vx4AAAAAAFgPt1BVwOVyKTo6WlLlCw2npKSYAQ5r2gAAAAAAgJpEgFOJLl26SJJ27Nght9tdbr2tW7eWOgYAAAAAAKAmEOBUYvDgwZLyb49au3ZtufWWL19ubg8aNOi0twsAAAAAADQcBDiVuPLKK83t2bNnl1nH6/Xq7bffliRFRkZq+PDhtdE0AAAAAADQQBDgVKJfv34aMmSIJOmNN97QqlWrStWZPn26tmzZIkm65557FBAQUKttBAAAAAAA9RtPofLBSy+9pEGDBikrK0sXXXSR/va3v2n48OHKysrSBx98oJkzZ0qSOnXqpPvvv9/PrQUAAAAAAPUNAY4PevXqpQ8//FDXX3+90tLS9Le//a1UnU6dOmnBggXFHj0OAAAAAABQE7iFykejRo3S77//rvvuu0+dOnVSSEiIIiMj1adPHz3zzDNat26dOnTo4O9mAgAAAACAeshmGIbh70agYgcOHFBsbKwkaf/+/WrdurWfWwQAAAAAQP1j5etvZuAAAAAAAABYHAEOAAAAAACAxRHgAAA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"text/plain": [ "
    " ] }, - "metadata": {}, + "metadata": { + "image/png": { + "height": 454, + "width": 568 + } + }, "output_type": "display_data" } ], @@ -237,8 +260,8 @@ "\n", "plt.plot(energies, photoabsorption_opacities)\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", - "plt.title(\"Photoabsorption Opacity\")\n", + "plt.ylabel(r\"$\\alpha_{pa}$ (cm$^{-1}$)\")\n", + "plt.title(\"Photoabsorption Absorption Coefficient\")\n", "plt.xlim(5,50)" ] }, @@ -257,7 +280,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -266,25 +289,27 @@ }, { "data": { - "image/png": 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", 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"text/plain": [ "
    " ] }, - "metadata": {}, + "metadata": { + "image/png": { + "height": 455, + "width": 586 + } + }, "output_type": "display_data" } ], "source": [ - "total_opacity = pair_creation_opacities + compton_opacities + photoabsorption_opacities\n", - "\n", "plt.plot(energies, pair_creation_opacities, label = \"Pair Creation\")\n", "plt.plot(energies, compton_opacities, label= \"Compton Scattering\")\n", "plt.plot(energies, photoabsorption_opacities, label= \"Photoabsorption\")\n", - "plt.plot(energies, total_opacity, label = \"Total\")\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(f\"Opacity (cm$^{-1}$)\")\n", - "plt.title(\"Sources of Opacity at Different Energies\")\n", + "plt.ylabel(r\"$\\alpha$ (cm$^{-1}$)\")\n", + "plt.title(\"Absorption Coefficients at Different Energies\")\n", "plt.yscale(\"log\")\n", "plt.xscale(\"log\")\n", "plt.xlim(left = 100)\n", @@ -299,7 +324,7 @@ { "data": { "text/plain": [ - "Text(0, 0.5, 'Fraction of Total Opacity')" + "Text(0, 0.5, 'Fraction of Total Absorption Coefficient')" ] }, "execution_count": 8, @@ -308,16 +333,22 @@ }, { "data": { - "image/png": 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", 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", 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    " ] }, - "metadata": {}, + "metadata": { + "image/png": { + "height": 433, + "width": 567 + } + }, "output_type": "display_data" } ], "source": [ + "total_opacity = pair_creation_opacities + compton_opacities + photoabsorption_opacities\n", "frac_pair_creation = pair_creation_opacities / total_opacity\n", "frac_compton_scattering = compton_opacities / total_opacity\n", "frac_photoabsorption = photoabsorption_opacities / total_opacity\n", @@ -329,8 +360,15 @@ "plt.xlim(left = 100)\n", "plt.legend()\n", "plt.xlabel(\"Packet energies (KeV)\")\n", - "plt.ylabel(\"Fraction of Total Opacity\")" + "plt.ylabel(\"Fraction of Total Absorption Coefficient\")" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From 2547b63622df9fdabfbe3190b0a5cd7583e977d3 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Thu, 27 Feb 2025 15:34:23 -0500 Subject: [PATCH 15/18] Added citations --- docs/tardis.bib | 37 +++++++++++++++++++++++++++++++++++++ 1 file changed, 37 insertions(+) diff --git a/docs/tardis.bib b/docs/tardis.bib index c324fb30456..4efe9ce6ab8 100644 --- a/docs/tardis.bib +++ b/docs/tardis.bib @@ -348,3 +348,40 @@ @ARTICLE{Boyle2017 adsurl = {https://ui.adsabs.harvard.edu/abs/2017A&A...599A..46B}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} } + +@ARTICLE{Hubbell1969, + author = {Hubbell, J H}, + title = {Photon cross sections, attenuation coefficients, and energy absorption coefficients from 10 keV to 100 gev}, + volume = {29}, + journal = {NSRDS-NBS}, + year = {1969} +} + +@ARTICLE{Ambwani1988, + author = {{Ambwani}, Kailash and {Sutherland}, Peter}, + title = "{Gamma-Ray Spectra and Energy Deposition for Type IA Supernovae}", + journal = {\apj}, + keywords = {Computational Astrophysics, Energy Absorption, Gamma Ray Astronomy, Gamma Ray Spectra, Supernovae, Compton Effect, Gamma Ray Absorption, Luminosity, Monte Carlo Method, Stellar Models, White Dwarf Stars, Astrophysics, GAMMA RAYS: GENERAL, STARS: SUPERNOVAE}, + year = 1988, + month = feb, + volume = {325}, + pages = {820}, + doi = {10.1086/166052}, + adsurl = {https://ui.adsabs.harvard.edu/abs/1988ApJ...325..820A}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{Veigele1973, + title = {Photon cross sections from 0.1 keV to 1 MeV for elements Z = 1 to Z = 94}, + journal = {Atomic Data and Nuclear Data Tables}, + volume = {5}, + number = {1}, + pages = {51-111}, + year = {1973}, + issn = {0092-640X}, + doi = {https://doi.org/10.1016/S0092-640X(73)80015-4}, + url = {https://www.sciencedirect.com/science/article/pii/S0092640X73800154}, + author = {Wm.J. Veigele}, + abstract = {For elements from H to Pu, experimental photon attenuation cross sections from 0.1 keV to 1 MeV were compiled from literature available to the end of 1970. Scattering cross sections, calculated by relativistic self-consistent-field methods, were subtracted from total attenuation data, and the resulting photoelectric and measured photoelectric cross sections from 1 keV to 1 MeV were fitted by a least-squares procedure. The theoretical scattering cross sections were then added to the resulting values to obtain totalattenuation coefficients. From 0.1 keV to between 1 keV and 10 keV, non-relativistic, self-consistent-field, independent-electron theory was used to calculate photoelectric cross sections. Theoretical scattering values were addedto obtain total attenuation cross sections. The two sets of values comprise our recommended cross sections. In cases of overlap, the calculated values are to be preferred. Uncertainties were estimated.} +} + From 26e2f3fa5b53c872864d01fcbfb806ceb181e03d Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Thu, 27 Feb 2025 15:35:28 -0500 Subject: [PATCH 16/18] Rearranged cells and added citaitons --- docs/physics/tardisgamma/opacities.ipynb | 180 +++++++++++------------ 1 file changed, 82 insertions(+), 98 deletions(-) diff --git a/docs/physics/tardisgamma/opacities.ipynb b/docs/physics/tardisgamma/opacities.ipynb index 49826aa28da..e1fef34aef1 100644 --- a/docs/physics/tardisgamma/opacities.ipynb +++ b/docs/physics/tardisgamma/opacities.ipynb @@ -6,96 +6,7 @@ "source": [ "# Sources of Opacity\n", "\n", - "Within the ejecta there are several sources of opacity for the $\\gamma$-rays that we need to take into account." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "vscode": { - "languageId": "plaintext" - } - }, - "source": [ - "## Pair Creation\n", - "\n", - "Pair Creation is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", - "It occurs when a $\\gamma$-ray interacts with an atomic nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", - "The photon packet keeps its energy but is sent into a new direction.\n", - "The pair-production coefficients ($cm^{-1}$) are:\n", - "\n", - "$$\n", - "\\alpha_{pp}(1.5 < h\\nu < 1.022) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022) \\times 10^{-27}\n", - "$$\n", - "\n", - "$$\n", - "\\alpha_{pp}(h\\nu \\geq 1.5) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] \\left[ 0.0481 + 0.301(h\\nu - 1.5) \\right] \\times 10^{-27}\n", - "$$\n", - "\n", - "\n", - "$\\rho$ is the mass density of the ejecta and $X_{\\text{IGE}}$ is the mass fraction of Fe-group elements." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Compton Scattering\n", - "\n", - "Compton scattering is inelastic scattering that occurs when a high energy photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. \n", - "This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons.\n", - "A high energy photon with an energy $e$ after scattering through an angle $\\theta$ loses its energy by the fraction $f$.\n", - "\n", - "$$\n", - "f = \\frac{1}{1 + x(1 - \\cos{\\theta})}\n", - "$$\n", - "\n", - "Where $\\theta$ is the angle the photon is scattered at and $x = \\frac{h \\nu}{m_e c^2}$\n", - "\n", - "The partial cross section from 0 to $\\theta$ in terms of f is:\n", - "\n", - "$$\n", - "\\sigma(f) = \\frac{3 \\sigma_T}{8x} \\frac{\\left( x^2 - 2x - 2 \\right) \\ln(f)}{x^2} + \\frac{f^2 - 1}{2f^2} + \\frac{f - 1}{x} [\\frac{1}{x} + \\frac{2}{f} + \\frac{1}{xf}]\n", - "$$\n", - " \n", - "Where $f$ can range from $1$ to $\\frac{1}{1+2x}$ and $\\sigma_T$ is the Thomson scattering cross section.\n", - "\n", - "The scattering angle is given by:\n", - "\n", - "$$\n", - "\\theta = \\cos^{-1}({1 - \\frac{f-1}{x}})\n", - "$$\n", - "\n", - "The total integrated Compton scattering coeffcient is:\n", - "\n", - "$$\n", - "\\alpha_C = n_e \\frac{3}{4} \\sigma_T [\\frac{1+x}{x^3} (\\frac{2x(1 + x)}{1 + 2x} - \\ln(1 + 2x)) + \\frac{1}{2x} \\ln(1 + 2x) - \\frac{1 + 3x}{(1 + 2x)^2}]\n", - "$$\n", - "\n", - "Where $n_e$ is the number density of electrons.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Photoabsorption\n", - "\n", - "This occurs when the photon is completely absorbed by a material. We assume that the $\\gamma$-ray deposits all of its energy when this occurs.\n", - "The coefficient is:\n", - "\n", - "$$\n", - "\\alpha_{pa}(\\nu) = 1.16 \\times 10^{-24} (h\\nu)^{-3.13} \\frac{\\rho}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + 25.7 \\times 10^{-24} (h\\nu)^{-3} \\frac{\\rho}{m_{\\text{Fe}}} X_{\\text{IGE}}\n", - "$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Code example\n", - "\n", - "Each source of opacity has its own function. The following cells demonstrate how each function works and how the opacities are implemented in the code." + "Within the ejecta there are several sources of opacity for the $\\gamma$-rays that we need to take into account. Each source of opacity has its own function in the code. The following cells show each source of opacity and how they are implemented in the code." ] }, { @@ -139,6 +50,33 @@ "x_ige = 0.01" ] }, + { + "cell_type": "markdown", + "metadata": { + "vscode": { + "languageId": "plaintext" + } + }, + "source": [ + "## Pair Creation\n", + "\n", + "Pair Creation is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", + "It occurs when a $\\gamma$-ray interacts with an atomic nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", + "The photon packet keeps its energy but is sent into a new direction.\n", + "The pair-production coefficients ($cm^{-1}$) are [@Hubbell1969]:\n", + "\n", + "$$\n", + "\\alpha_{pp}(1.5 < h\\nu < 1.022) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022) \\times 10^{-27}\n", + "$$\n", + "\n", + "$$\n", + "\\alpha_{pp}(h\\nu \\geq 1.5) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] \\left[ 0.0481 + 0.301(h\\nu - 1.5) \\right] \\times 10^{-27}\n", + "$$\n", + "\n", + "\n", + "$\\rho$ is the mass density of the ejecta and $X_{\\text{IGE}}$ is the mass fraction of Fe-group elements." + ] + }, { "cell_type": "code", "execution_count": 4, @@ -183,6 +121,45 @@ "plt.title(\"Pair Creation Absorption Coefficient\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Compton Scattering\n", + "\n", + "Compton scattering is inelastic scattering that occurs when a high energy photon collides with an electron. Unlike Thomson scattering, which is elastic, during the collision some of the energy from the photon is transferred to the electron and the scattered photon is lower energy than the incident photon. \n", + "This means that the scattered photon also has a lower frequency and a longer wavelength. In the simulation we assume that the electrons are moving significantly slower than the photons.\n", + "A high energy photon with an energy $e$ after scattering through an angle $\\theta$ loses its energy by the fraction $f$.\n", + "\n", + "$$\n", + "f = \\frac{1}{1 + x(1 - \\cos{\\theta})}\n", + "$$\n", + "\n", + "Where $\\theta$ is the angle the photon is scattered at and $x = \\frac{h \\nu}{m_e c^2}$\n", + "\n", + "The partial cross section from 0 to $\\theta$ in terms of f is:\n", + "\n", + "$$\n", + "\\sigma(f) = \\frac{3 \\sigma_T}{8x} \\frac{\\left( x^2 - 2x - 2 \\right) \\ln(f)}{x^2} + \\frac{f^2 - 1}{2f^2} + \\frac{f - 1}{x} [\\frac{1}{x} + \\frac{2}{f} + \\frac{1}{xf}]\n", + "$$\n", + " \n", + "Where $f$ can range from $1$ to $\\frac{1}{1+2x}$ and $\\sigma_T$ is the Thomson scattering cross section.\n", + "\n", + "The scattering angle is given by:\n", + "\n", + "$$\n", + "\\theta = \\cos^{-1}({1 - \\frac{f-1}{x}})\n", + "$$\n", + "\n", + "The total integrated Compton scattering coeffcient is:\n", + "\n", + "$$\n", + "\\alpha_C = n_e \\frac{3}{4} \\sigma_T [\\frac{1+x}{x^3} (\\frac{2x(1 + x)}{1 + 2x} - \\ln(1 + 2x)) + \\frac{1}{2x} \\ln(1 + 2x) - \\frac{1 + 3x}{(1 + 2x)^2}]\n", + "$$\n", + "\n", + "Where $n_e$ is the number density of electrons.\n" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -223,6 +200,20 @@ "plt.title(\"Compton Scattering Absorption Coefficient\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Photoabsorption\n", + "\n", + "This occurs when the photon is completely absorbed by a material. We assume that the $\\gamma$-ray deposits all of its energy when this occurs.\n", + "The coefficient is:\n", + "\n", + "$$\n", + "\\alpha_{pa}(\\nu) = 1.16 \\times 10^{-24} (h\\nu)^{-3.13} \\frac{\\rho}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + 25.7 \\times 10^{-24} (h\\nu)^{-3} \\frac{\\rho}{m_{\\text{Fe}}} X_{\\text{IGE}}\n", + "$$" + ] + }, { "cell_type": "code", "execution_count": 6, @@ -280,7 +271,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -362,13 +353,6 @@ "plt.xlabel(\"Packet energies (KeV)\")\n", "plt.ylabel(\"Fraction of Total Absorption Coefficient\")" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 7914614f57537f7ca1180ebaf651e27844dad0f7 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Thu, 27 Feb 2025 17:01:17 -0500 Subject: [PATCH 17/18] Trying to fix citations --- docs/physics/tardisgamma/opacities.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/physics/tardisgamma/opacities.ipynb b/docs/physics/tardisgamma/opacities.ipynb index e1fef34aef1..197ebb7ce56 100644 --- a/docs/physics/tardisgamma/opacities.ipynb +++ b/docs/physics/tardisgamma/opacities.ipynb @@ -63,7 +63,7 @@ "Pair Creation is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", "It occurs when a $\\gamma$-ray interacts with an atomic nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", "The photon packet keeps its energy but is sent into a new direction.\n", - "The pair-production coefficients ($cm^{-1}$) are [@Hubbell1969]:\n", + "The pair-production coefficients ($cm^{-1}$) are [] []:\n", "\n", "$$\n", "\\alpha_{pp}(1.5 < h\\nu < 1.022) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022) \\times 10^{-27}\n", @@ -207,7 +207,7 @@ "## Photoabsorption\n", "\n", "This occurs when the photon is completely absorbed by a material. We assume that the $\\gamma$-ray deposits all of its energy when this occurs.\n", - "The coefficient is:\n", + "The coefficient is[@Veigele1973] [@Ambwani1988]:\n", "\n", "$$\n", "\\alpha_{pa}(\\nu) = 1.16 \\times 10^{-24} (h\\nu)^{-3.13} \\frac{\\rho}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + 25.7 \\times 10^{-24} (h\\nu)^{-3} \\frac{\\rho}{m_{\\text{Fe}}} X_{\\text{IGE}}\n", From 765181aa8f8326f0b1ba46db73eff925c4364993 Mon Sep 17 00:00:00 2001 From: ceceliapowers Date: Fri, 28 Feb 2025 09:53:02 -0500 Subject: [PATCH 18/18] Trying to fix citations again --- docs/physics/tardisgamma/opacities.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/physics/tardisgamma/opacities.ipynb b/docs/physics/tardisgamma/opacities.ipynb index 197ebb7ce56..9815502d06c 100644 --- a/docs/physics/tardisgamma/opacities.ipynb +++ b/docs/physics/tardisgamma/opacities.ipynb @@ -63,7 +63,7 @@ "Pair Creation is dominant when the energy of the $\\gamma$-ray is greater than or equal to $2m_e c^2$.\n", "It occurs when a $\\gamma$-ray interacts with an atomic nucleus and creates an electron-positron pair. The positron forms a bound-state with an electron called positronium which decay into two photons at 0.511 MeV or three photons. \n", "The photon packet keeps its energy but is sent into a new direction.\n", - "The pair-production coefficients ($cm^{-1}$) are [] []:\n", + "The pair-production coefficients ($cm^{-1}$) are :cite:`Hubbell1969` {cite}`Ambwani1988`:\n", "\n", "$$\n", "\\alpha_{pp}(1.5 < h\\nu < 1.022) = \\rho \\left[ \\frac{Z_{\\text{Si}}^2}{m_{\\text{Si}}} (1 - X_{\\text{IGE}}) + \\frac{Z_{\\text{Fe}}^2}{m_{\\text{Fe}}} X_{\\text{IGE}} \\right] 1.0063 (h\\nu - 1.022) \\times 10^{-27}\n",