# DEMCMC Posteriors 
# Columns are: [Parameter Name (Unit)] \t [Value^{+1-sigma}_{-1_sigma} ] \t [Value^{+1-sigma}_{-1_sigma} ] \t [Value^{+1-sigma}_{-1_sigma} ] 
#
# 											Eccentricity Prior (C1)  						Eccentricity Prior and Stability (C2)  Laplace Angle Constraint (C3)  
# Stellar Parameters  
R_\star (R_\odot)				1.714^{+0.079}_{-0.165}  				  	1.72^{+0.07}_{-0.14}  				 				1.622^{+0.078}_{-0.070}  
M_\star (M_\odot) 		 	1.125  (fixed) 						 					1.125  (fixed) 						 						1.125  (fixed)  
c_1 				  					0.54^{+0.11}_{-0.10} 				 				0.54^{+0.10}_{-0.09} 					 				0.57^{+0.11}_{-0.10} 
c_2 				 						0.2  (fixed)  						 					0.2  (fixed) 						 							0.2  (fixed) 
dilution 				 				0.11202  (fixed)						  			0.11202  (fixed) 					 						0.11202  (fixed) 
# Kepler-223 b Parameters  
P (d) 				   				7.38454^{+0.00024}_{-0.00028}   		7.38449^{+0.00022}_{-0.00022}  		 		7.38453^{+0.00024}_{-0.00024}      
T_0 (BJD-2454900) 	   	801.5145^{+0.0044}_{-0.0047}   			801.5155^{+0.0044}_{-0.0046}   		 		801.5133^{+0.0042}_{-0.0045}    
 e \cdot \cos (\omega)	0.057^{+0.034}_{-0.031}   			  	0.054^{+0.022}_{-0.022}  				  		0.035^{+0.014}_{-0.016}      
e \cdot \sin (\omega)		0.052^{+0.026}_{-0.135}    			  	0.047^{+0.020}_{-0.039}   				  	-0.004^{+0.029}_{-0.034}      
|i-90| (^\circ)					0.0^{+1.7}   						 				 		0.0^{+1.8} 						  							0.0^{+1.4}    
\Omega (^\circ)					0.0 (fixed)  						 						0.0 (fixed)  						  						0.0 (fixed)     
\rm{M}/\rm{M}_\star			0.0000196^{+0.0000034}_{-0.0000031}	0.0000221^{+0.0000032}_{-0.0000031}		0.0000201^{+0.0000027}_{-0.0000026}     
\rm{R}/\rm{R}_\star			0.01596^{+0.00053}_{-0.00053}				0.01597^{+0.00055}_{-0.00054}   			0.01584^{+0.00052}_{-0.00053}   
# Kepler-223 c Parameters  
P (d) 				  				9.84584^{+0.00085}_{-0.00053}   		9.84564^{+0.00052}_{-0.00051}  		  	9.84613^{+0.00046}_{-0.00045}     
T_0 (BJD-2454900) 	  	800.1461^{+0.0049}_{-0.0040}    		800.1459^{+0.0050}_{-0.0039}  		  	800.1489^{+0.0061}_{-0.0047}      
e \cdot \cos (\omega)		0.030^{+0.050}_{-0.047}  				  	0.029^{+0.041}_{-0.038}  				  		-0.010^{+0.019}_{-0.022}      
e \cdot \sin (\omega)		0.134^{+0.027}_{-0.156}   				  0.139^{+0.021}_{-0.050}   				  	0.060^{+0.033}_{-0.038}     
|i-90| (^\circ)					0.0^{+1.4}   						  					0.0^{+1.3}   						  						0.0^{+1.5}    
\Omega (^\circ)					0.0 (fixed)  						  					0.0 (fixed) 						  						0.0 (fixed)      
\rm{M}/\rm{M}_\star			0.0000157^{+0.0000048}_{-0.0000038}	0.0000152^{+0.0000048}_{-0.0000033} 	0.0000189^{+0.0000032}_{-0.0000033}      
\rm{R}/\rm{R}_\star			0.01847^{+0.00055}_{-0.00056}   		0.01842^{+0.00053}_{-0.00053}   			0.01833^{+0.00056}_{-0.00057}     
# Kepler-223 d Parameters  
P (d) 				 					14.78881^{+0.00049}_{-0.00040}   		14.78869^{+0.00030}_{-0.00027}   			14.78862^{+0.00025}_{-0.00024}      
T_0 (BJD-2454900) 	 		804.8502^{+0.0022}_{-0.0023}   		  804.8504^{+0.0023}_{-0.0024}   		  	804.8492^{+0.0022}_{-0.0023}     
e \cdot \cos (\omega)		0.020^{+0.031}_{-0.030}  				  	0.020^{+0.026}_{-0.024}  				  		0.000^{+0.011}_{-0.013}      
e \cdot \sin (\omega)		0.017^{+0.023}_{-0.076}  				  	0.010^{+0.020}_{-0.032}   				  	-0.001^{+0.015}_{-0.021}    
|i-90| (^\circ)					2.02^{+0.29}_{-0.52}	  				  	2.06^{+0.26}_{-0.32}  				  			1.68^{+0.30}_{-0.29}     
\Omega (^\circ)					0.0 (fixed)  						 		 				0.0 (fixed) 						  						0.0 (fixed)      
\rm{M}/\rm{M}_\star			0.0000203^{+0.0000040}_{-0.0000039}	0.0000240^{+0.0000039}_{-0.0000035} 	0.0000225^{+0.0000032}_{-0.0000032}      
\rm{R}/\rm{R}_\star			0.02791^{+0.00056}_{-0.00064}   		0.02800^{+0.00052}_{-0.00059}  		  	0.02756^{+0.00053}_{-0.00058}       
#Kepler-223 e Parameters: 
P (d) 				  				19.72553^{+0.00067}_{-0.00071}    	19.72567^{+0.00055}_{-0.00054}   			19.72568^{+0.00054}_{-0.00048}     
T_0 (BJD-2454900)				817.5231^{+0.0055}_{-0.0048}   		  817.5237^{+0.0055}_{-0.0051}  		  	817.5231^{+0.0053}_{-0.0046}       
e \cdot \cos (\omega)		0.017^{+0.042}_{-0.033}   			  	0.017^{+0.026}_{-0.024}  				  		0.013^{+0.014}_{-0.014}      
e \cdot \sin (\omega)		0.045^{+0.032}_{-0.077}    			  	0.039^{+0.023}_{-0.032}   				  	0.033^{+0.016}_{-0.023}       
|i-90| (^\circ)					1.95^{+0.25}_{-0.45}   				  		2.00^{+0.21}_{-0.27}   				  			1.69^{+0.25}_{-0.24}   
\Omega (^\circ)					0.0 (fixed)  						  					0.0 (fixed) 						  						0.0 (fixed)      
\rm{M}/\rm{M}_\star			0.0000102^{+0.0000044}_{-0.0000042} 0.0000145^{+0.0000039}_{-0.0000036} 	0.0000130^{+0.0000031}_{-0.0000029}     
\rm{R}/\rm{R}_\star			0.02450^{+0.00076}_{-0.00077}   		0.02466^{+0.00074}_{-0.00076}    			0.02421^{+0.00069}_{-0.00068}