BallSim_Direct (1)

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About ...
		Moly-Cop Tools, Version 3.0
		About the BallSim_Direct Spreadsheet ...
		Moly-Cop Tools, Version 3.0
		About the Ballsim_Direct Spreadsheet ...
		Moly-Cop Tools, Version 3.0
		About the Ballsim_Direct Spreadsheet ...
		Moly-Cop Tools, Version 3.0
		About the Ballsim_Direct Spreadsheet ...
		Moly-Cop Tools, Version 3.0
		About the Ballsim_Direct Spreadsheet ...
&"Arial,Bold"&8Moly-Cop Tools&"Arial,Regular" / &F	&8Page &P	&8&D / &T
Scope :
The BallSim_Direct spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given Conventional Ball Mill grinding section, of the Direct configuration (see Flowsheet), operating under various conditions, on the basis of well accepted mathematical models for the grinding and hydroclassification processes.
Theoretical Framework :
- The Grinding Model :
For the simulation of the ball mill response, this routine is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set – also referred to as Grindability – relates to the grinding kinetics of each independent particle and the second set – also referred to as Distribution of Primary Fragments – characterizes the size distribution of the fragments produced as a result of breakage events.
The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions fi (i = 1, n) retained on the n different screens represented on the left of such Figure. After a time interval Dt, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function Si (min-1) denotes the fractional breakage velocity; that is, the fraction of the particles in the size range [di+1 , di] which are fractured, per unit of time. Therefore, the product (SiDt) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be fractured by the action of the grinding media, during the following time period Dt. Complementarily, the Breakage Function bij denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh.
It is customary to define mesh ‘1’ as the coarsest opening and ‘n’ as the finest opening. Then, by definition :
 i+1
 Bij = S bkj (1)
 k=n
represents the cumulative fraction of fragments from the breakage of particles retained on mesh ‘j’ that will become finer than mesh ‘i’.
With reference to the Figure above, it is then possible to establish, for each size fraction ‘i’, the following population balance of particles : 
 [Particles in fraction ‘i’ at time (t+Dt)] = [Particles in fraction ‘i’ at time t]
 - [Particles in fraction ‘i’ broken during the time interval Dt]
 + [New particles added to fraction ‘i’ as a result of the breakage
 of particles originally retained in the coarser fractions (j = 1, i-1)]
then, if H represents the total weight of ore in the mill :
 
 fi(t+Dt) H = fi(t) H - SiDtfi(t) H + bi1S1Dtf1(t) H + bi2S2Dtf2(t) H + … + bi,i-1Si-1Dtfi-1(t) H ; for i = 1, 2, …, n (2)
Considering the limiting condition when Dt approaches zero, the expression above reduces to the system of first order differential equations :
 1
 d(fi)/dt = -Si fi + S bij Sj fj ; for i = 1, 2, …, n (3)
 j = i-1
which constitutes the General Grinding Model, in its differential form.
The analytical solution of this complex system of differential equations is fortunately known, under the restrictive assumption that the parameters S and B are invariant with time; so giving rise to particular solution of the general system denoted ‘Linear Model’, which in its matrix form is expressed as :
 f = ( T J T-1 ) f° (4)
where :
 f = {fi | i = 1, 2, …, n} = vector containing the size distribution of the mill discharge (ground product),
 f° = {fi° | i = 1, 2, …, n} = vector containing the size distribution of the mill feed,
 T = {Tij | i,j = 1, 2, …, n} = lower triangular matrix of values Tij recursively defined as :
 Tij = 0 ; when i < j
 Tij = 1 ; when i = j
 i - 1
 Tij = S ( bik Sk Tkj )/( Si – Sj ) ; when i > j 
 k = j
 
 J = {Jij | i,j = 1, 2, …, n} = diagonal matrix of values Jij defined as :
 Jij = exp (-Sit) ; when i = j ( batch grinding)
 Jij = (1 + Sit/N)-N ; when i = j (continuous grinding)
 Jij = 0 ; in all other cases
and where t - the average mean residence time - and N are parameters characteristic of the Residence Time Distribution (RTD) of the mineral slurry in the mill, here represented by :
 E(t) = [ NN (t/t)N-1 / t G(N) ] exp (-Nt/t) (5)
referred to as the ‘N-Mixers in Series Model’ and where the parameter N may be approximated by the effective (Length/Diameter) ratio of the mill.
The grinding model parameters (the Selection and Breakage parameters) are different for different particle sizes. Such dependence is here represented by the following relationships : 
 - For the Selection Function :
 Si = a0 (di*)a1 / [ 1 + (di* / dcrit)a2 ] (6)
 with :
 di* = (di · di+1)0.5 = average particle size of the ‘i-th’ fraction. 
 An expanded form of this expression - also available in this simulation routine - is given by :
 Si = [1/(1+a02/a01)] { a01 (di*)a11 / [ 1 + (di* / dcrit)a2 ] + a02 (di*)a12 } (6e)
 - For the Breakage Function :
 Bij = b0 (di/dj+1)b1 + (1- b0) (di/dj+1)b2 (7)
 An expanded form of this expression - also available in this simulation routine - is obtained by replacing b0 in
 Equation 7 by :
 b0j = b00(dj+1/1000) -b01 , never > 1 (7e)
These expanded forms for Si and Bij are intended to provide the model greater descriptive flexibility when tuning themodel to actual specific grinding systems (see Files BallParam_Batch and BallParam_Open) but, since they increment the total number of ore characteristic parameters to be estimated, its use should be avoided whenever possible. 
In any case, the proposed expanded forms reduce to the normal forms if a02 and b01 are set equal to zero.
Not considering the expanded forms, the above expressions considerably reduce the number of ore characteristic parameters to a maximum of seven (a0, a1, a2, dcrit, b0, b1 and b2) and simplify the computation of the (n-1) Si‘s values and the n(n-1)/2 Bij’s values required for the evaluation of the model.
The critical role of the Specific Energy Consumption E (kWh/ton) becomes explicit in the above formulations through a simple change of variables, when introducing the Specific Selection Function parameter as :
 
 SiEballs = Si (H/Pballs) ; i = 1, 2, ..., n (8)
and recognizing that (see Equations 2 and 5) :
 Eballs = t (Pballs/H) (batch grinding)
 Eballs = t (Pballs/H) (continuous grinding) (9)
where Pballs represents the contribution of the balls to the Net Mill Power Draw (kW) (see Mill Power_Ball Mills), it may be concluded that :
 SiEballs Eballs = Si t (batch grinding)
or : SiEballs Eballs = Si t (continuous grinding) (10)
Therefore, it is enough to replace in Equations 4 above the products (Sit) or (Sit) by the product (SiEballsEballs) to obtain the equations of the Linear Grinding Model in terms of the Specific Selection Function, SiEballs.
- The Hydrocyclone Model : (see Files Cyclosim_Single and Cyclobal_Single)
- Simulation of Grinding/Classification Circuits :
The mathematical simulation of the response of grinding/classification circuits, like the one represented here in Flowsheet, requires the proper combination of the unit grinding and classification models. As a result of the circulating load stream, both models can not be solved independently : the feed to the mill is affected by the cyclones discharge stream which depends on the cyclones feed and this cyclones feed is affected by the mill discharge, which in turns depends on the mill feed. Such interdependence condition implies that the system must be solved with the aid of numerical convergence algorithms, starting from an initial guessed value for the Circulating Load ratio (defined as the ratio of the massflowrate of solids in the cyclones discharge stream to the massflowrate of solids in the cyclones overflow stream). For such purposes, the present Ballsim_Direct simulator makes use of the Goal Seek tool available in Microsoft Excel.
Data Input and Program Execution :
The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.
In addition to the above, the user is requested to provide an initial guess of the Circulating Load ratio in Cell E25. Finally, the system is solved by single clicking on the macro button Iterate, next to Cell E25.
Important Notice : Iterate ... must be clicked every time any element of input data gets to be modified. After clicking ITERATE, Cell E27 must display a zero value; otherwise, the current outputs are not valid.
Calculation results are presented in the Reports worksheet and graphically summarized in the Flowsheet worksheet.
New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the whole utilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments by selecting Tools / Options / View / Comments / None.
Data_File
			Moly-Cop Tools TM (Version 3.0)
			BALLSIM : Conventional Closed Circuit Grinding Simulator													Dados trazidos da planilha BallParam_Direct (Aba Report)
																Toda vez que apertar o botão Iterate ele vai calcular a carga circulante de forma a harmonizar o circuito e zerar o Delta
			Circuit Type		DIRECT	 (see Flowsheet)					Simulation N° 	0				Tudo que está em branco pode ser variado, só não pode aterar os parâmetros do modelo
																Quanto mais se altera o modelo inicial, mais se distancia do caso base
			Remarks		 Base Case Example											Cada um dos parâmetros alterados deve ser salvo e retornar ao caso base
					 											Caso não retorne ao caso base o modelo vira ficticio
																Após clicar no Iterate, se o Delta zerar significa que a planilha está pronta para ser utilizada
			Mill Dimensions and Operating Conditions									15028
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell L13) contributed by the Ball Charge.	 Balls			Se for alterar o diâmetro da bola recomenda-se mudar apenas uma vez e apenas o diâmetro da bola (sem mexer nas demais variáveis)
			Eff. Diam.	Eff. Length	Speed	Charge	Balls	App. Dens.	Interstitial	Lift		0
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell L13) contributed by the Overfilling Slurry on top of the "kidney".	 Overfilling			Caso queira alterar demais variáveis, recomenda-se o retorno das bolas para o tamanho em que foi modelado, visto que a função seleção irá sofrer modificações significativas com bolas de diâmetro diferentes
			ft	ft	% Critical	Filling,%	Filling,%	ton/m3	Slurry, %	Angle, (°)		2528
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell L13) contributed by the Interstitial Slurry in the ball charge.	 Slurry
			28.5
Jaime E. Sepúlveda J.: Mill Diameter, inside liners.	36.3
Jaime E. Sepúlveda J.: Effective Grinding Lenght.	75.0
Jaime E. Sepúlveda J.: Rotational Mill Speed, expressed as a percentage of the critical centrifugation speed of the mill.	35.0
Jaime E. Sepúlveda J.: Total Apparent Volumetric Charge Filling - including balls and excess slurry on top of the ball charge, plus the interstitial voids in between the balls - expressed as a percentage of the net internal mill volume (inside liners).	35.0
Jaime E. Sepúlveda J.: In some cases - particularly with Overflow Discharge Mills operating at low ball fillings - slurry may accumulate on top of the ball charge; therefore, the Total Charge Filling Level (Cell F13) could be higher than the actual Ball Filling Level (Cell G13).	5.43
Jaime E. Sepúlveda J.: Corresponds to the ratio between the Total Charge Weight and its Apparent Volume (including interstitial voids). Obtained from attached worksheet Mill_Power.	100.0
Jaime E. Sepúlveda J.: This value represents the Volumetric Fractional Filling of the Voids in between the balls by the retained slurry in the mill charge.
As defined, this value should never exceed 100%, but in some cases - particularly in Grate Discharge Mills - it could be lower than 100%.
Note that this interstitial slurry does not include the overfilling slurry derived from the difference between Cells F13 and G13.	31.6
Jaime E. Sepúlveda J.: Represents the so-called Dynamic Angle of Repose (or Lift Angle) adopted during steady operation by the top surface of the mill charge ("the kidney") with respect to the horizontal. 
A reasonable default value for this angle is 32°, but may be easily "tuned" to specific applications against any available actual power data.		17556
Jaime E. Sepúlveda J.: Obtained from attached Worksheet Mill_Power.	 Net kW
				rpm	10.76							5.0	 % Losses
												18480	 Gross kW
			Cyclone Dimensions (inches) and Operating Conditions
			Number	Diameter	Height	Inlet	Vortex	Apex18	26.0	80.0
jsepulveda: Free Cyclone Height,
defined as the distance from the bottom end of the vortex finder to the top end of the apex.	6.75	9.25	5.37
jsepulveda: This dimension is calculated by the model to meet the % Solids U'flow specification in Cell E22.
				Suggested Default Values: 	78.0	6.5	9.1	4.6
			% Solids O'flow		44.0
			% Solids U'flow		78.0					Main Simulated Outputs
jsepulveda: Displayed simulation results are not valid until the ITERATE button has been clicked, after any input data changes.
			% Solids Mill Discharge		76.0					 P80		232.6
										 Wio
jsepulveda: Operational Work Index (based on Gross Power).		14.53
			Circulating Load		2.696
jsepulveda: Any reasonable value (say, between 2 and 4) is sufficient to start up the Goal Seek algorithm.
Most likely, the current value left from previous simulations will serve such purpose well.	(Guess)				 % Fines MD
jsepulveda: % Fines (below the finest mesh) in the Mill Discharge stream.		15.49
					2.696	(Actual)				 Q
jsepulveda: Cyclones Feed Flowrate, in m3/hr.		7675
					0.000	(Delta)				 Bpf
jsepulveda: Fines By-Pass to the Cyclones Underflow stream.		0.363
										 Pressure		15.3
			Ore Density, ton/m3		2.80					 Total Water
jsepulveda: Total Water added to the circuit (Sump+Mill) in m3/hr.		2842.5
			Balls Density, ton/m3		7.75
										 Arbiter's
			Feedrate, ton/hr (dry)		2289.0					 Flow #
Jaime Sepulveda: This value should never exceed 4 in order to assure sufficient slurry transport capacity of the mill.
Ref.: Prof. N. Arbiter.		3.55
			Feed Moisture, %		3.0
							Feed Size Distribution
			i	Mesh	Opening	Mid-Size	ton/hr	% Retained	% Passing
			1	1.05	25400
jsepulveda: The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.				100.00
jsepulveda: The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.
			2	0.742	19050	21997	0.00	0.00	100.00
			3	0.525	12700	15554	275.14	12.02	87.98
			4	0.371	9500	10984	216.54	9.46	78.52
			5	3	6700	7978	332.13	14.51	64.01
			6	4	4750	5641	299.86	13.10	50.91
			7	6	3350	3989	229.82	10.04	40.87
			8	8	2360	2812	162.29	7.09	33.78
			9	10	1700	2003	108.96	4.76	29.02
			10	14	1180	1416	90.87	3.97	25.05
			11	20	850	1001	64.78	2.83	22.22
			12	28	600	714	57.91	2.53	19.69
			13	35	425	505	49.90	2.18	17.51
			14	48	300	357	44.41	1.94	15.57
			15	65	212	252	39.83	1.74	13.83
			16	100	150	178	35.48	1.55	12.28
			17	150	106	126	32.27	1.41	10.87
			18	200	75	89	28.61	1.25	9.62
			19	270	53	63	25.87	1.13	8.49
			20	400	38	45	22.20	0.97	7.52
			21	-400	0	19	172.13	7.52	0.00
			Make-up Ball Size, mm		88.9		3.50	 inches
			Selection Function Parameters :					Expanded Form :
			alpha0	alpha1	alpha2	dcrit		alpha02	alpha12
			0.005814
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.
It may be set to any desired value by Goal Seeking with Cell C64 and C65.	0.720
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.	2.52
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.	9415
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.
It may be set to any desired value by Goal Seeking with Cell F64 and F65.		0
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.	1
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.
								0	1	 Suggested Default Values
			Breakage Function Parameters :					Expanded Form :
			beta0	beta1	beta2			beta01
			0.1794342827
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.						
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.	0.3194530094
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.	4
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.			0
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.
								0	 Suggested Default Value
			Classifier Constants :
			a1	a2	a3	a4	l	Bpc
			10.637 
Jaime E. Sepúlveda J.: If unknown, use suggested default value below.					
jsepulveda: May be estimated from actual experimental data with the aid of BallParam_Batch (for laboratory data) or BallParam_Open (for industrial scale data).
See About ... for further details.	1.228 
Jaime E. Sepúlveda J.: If unknown, use suggested default value below.	48.323 
Jaime E. Sepúlveda J.: If unknown, use suggested default value below.	0.358 
Jaime E. Sepúlveda J.: If unknown, use suggested default value below.	0.970 
Jaime E. Sepúlveda J.: If unknown, use suggested default value below.	
Jaime E. Sepúlveda J.: Mill Diameter, inside liners.					0.000 
Jaime E. Sepúlveda J.: If unknown, use suggested default value below.
				
Jaime E. Sepúlveda J.: Effective Grinding Lenght.	
Jaime E. Sepúlveda J.: Rotational Mill Speed, expressed as a percentage of the critical centrifugation speed of the mill.	
Jaime E. Sepúlveda J.: Total Apparent Volumetric Charge Filling - including balls and excess slurry on top of the ball charge, plus the interstitial voids in between the balls - expressed as a percentage of the net internal mill volume (inside liners).	
Jaime E. Sepúlveda J.: In some cases - particularly with Overflow Discharge Mills operating at low ball fillings - slurry may accumulate on top of the ball charge; therefore, the Total Charge Filling Level (Cell F13) could be higher than the actual Ball Filling Level (Cell G13).	
Jaime E. Sepúlveda J.: Corresponds to the ratio between the Total Charge Weight and its Apparent Volume (including interstitial voids). Obtained from attached worksheet Mill_Power.				
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell L13) contributed by the Ball Charge.	
Jaime E. Sepúlveda J.: This value represents the Volumetric Fractional Filling of the Voids in between the balls by the retained slurry in the mill charge.
As defined, this value should never exceed 100%, but in some cases - particularly in Grate Discharge Mills - it could be lower than 100%.
Note that this interstitial slurry does not include the overfilling slurry derived from the difference between Cells F13 and G13.			
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell L13) contributed by the Overfilling Slurry on top of the "kidney".	
Jaime E. Sepúlveda J.: Represents the so-called Dynamic Angle of Repose (or Lift Angle) adopted during steady operation by the top surface of the mill charge ("the kidney") with respect to the horizontal. 
A reasonable default value for this angle is 32°, but may be easily "tuned" to specific applications against any available actual power data.	
jsepulveda: Free Cyclone Height,
defined as the distance fromthe bottom end of the vortex finder to the top end of the apex.							
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell L13) contributed by the Interstitial Slurry in the ball charge.	
Jaime E. Sepúlveda J.: Obtained from attached Worksheet Mill_Power.	
jsepulveda: This dimension is calculated by the model to meet the % Solids U'flow specification in Cell E22.	
jsepulveda: Any reasonable value (say, between 2 and 4) is sufficient to start up the Goal Seek algorithm.
Most likely, the current value left from previous simulations will serve such purpose well.					
jsepulveda: Displayed simulation results are not valid until the ITERATE button has been clicked, after any input data changes.	
jsepulveda: Operational Work Index (based on Gross Power).	
jsepulveda: % Fines (below the finest mesh) in the Mill Discharge stream.	
jsepulveda: Cyclones Feed Flowrate, in m3/hr.	
jsepulveda: Fines By-Pass to the Cyclones Underflow stream.	
jsepulveda: Total Water added to the circuit (Sump+Mill) in m3/hr.	
Jaime Sepulveda: This value should never exceed 4 in order to assure sufficient slurry transport capacity of the mill.
Ref.: Prof. N. Arbiter.	
jsepulveda: The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.				
jsepulveda: The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.	9.932 	1.361 	52.968 	0.441 	0.950 	0.000 	 Suggested Default Values
&"Arial,Bold"&8Moly-Cop Tools&"Arial,Regular" / &F	&8Page &P	&8&D / &T
Very Important :
Simulation results are not valid until the Iterate button has been clicked after any input data changes.
Flowsheet
			Moly-Cop Tools TM (Version 3.0)
								Simulation N°	0
			Remarks		 Base Case Example
					 
										44.00	 % Solids
										46.83	 % - Size 18
				psi 	15.30		0.000	 Bpc		232.6	 P80
				# of Cyclones 	18
				Vortex 	9.25						Circ. Load 	2.70
				Apex 	5.37		0.363	 Bpf			 m3/hr 	7675
							0.374	 Bpw
				% Solids 	78.00
												Water, 
												 m3/hr 	1982.3
			ton/hr 	2289.0		Water, 	860.2
			F80 	9964		 m3/hr 
								Gross kW 	18480.0
				kWh/ton 	8.07			% Balls 	35.00
				Wio 	14.53			% Critical 	75.00
								% Solids 	76.00
												% Solids 	64.51
&"Arial,Bold"Moly-Cop Tools&"Arial,Regular" / &F / &A		&D / &T
Reports
					Moly-Cop ToolsTM, Version 3.0				Simulation N°	0
		BALLSIM
		Conventional Closed Circuit Grinding Simulator
		Remarks :	 Base Case Example
			 
		CIRCUIT MASS BALANCE
		Configuration : DIRECT
				Fresh	Mill	Mill	Sump	Cyclone	Cyclone	Cyclone
				Feed	Feed	Discharge	Water	Feed	U'flow	O'flow
		 Ore, ton/hr		2289.0	8459.1	8459.1	0.0	8459.1	6170.1	2289.0
		 Water, m3/hr		70.8	1811.1	2671.3	1982.3	4653.6	1740.3	2913.3
		 Slurry, ton/hr		2359.8	10270.2	11130.4	1982.3	13112.6	7910.4	5202.3
		 Slurry, m3/hr		888.3	4832.2	5692.4	1982.3	7674.7	3943.9	3730.8
		 Slurry Dens., ton/m3		2.657	2.125	1.955	1.000	1.709	2.006	1.394
		 % Solids (by volume)		92.0	62.5	53.1	0.0	39.4	55.9	21.9
		 % Solids (by weight)		97.00	82.37	76.00	0.00	64.51	78.00	44.00
				Particle Size Distributions (Cummulative % Passing)
	i	Mesh	Opening
	1	1.05	25400	100.00	100.00	100.00	0.00	100.00	100.00	100.00			0	0	0	0	0	0	0
	2	0.742	19050	100.00	100.00	100.00	0.00	100.00	100.00	100.00			0	0	0	0	0	0	0
	3	0.525	12700	87.98	96.18	99.44	0.00	99.44	99.23	100.00			9963.6822961264	0	0	0	0	0	0
	4	0.371	9500	78.52	93.02	98.83	0.00	98.83	98.40	100.00			0	0	0	0	0	0	0
	5	3	6700	64.01	88.26	98.00	0.00	98.00	97.25	100.00			0	0	0	0	0	0	0
	6	4	4750	50.91	83.56	96.84	0.00	96.84	95.67	100.00			0	3595.0503668094	0	0	0	0	0
	7	6	3350	40.87	79.12	95.12	0.00	95.12	93.31	100.00			0	0	0	0	0	0	0
	8	8	2360	33.78	74.66	92.58	0.00	92.58	89.83	100.00			0	0	0	0	0	0	0
	9	10	1700	29.02	69.90	89.11	0.00	89.11	85.07	100.00			0	0	0	0	0	1300.7565305686	0
	10	14	1180	25.05	63.84	84.12	0.00	84.12	78.23	99.99			0	0	953.153008367	0	953.153008367	0	0
	11	20	850	22.22	56.86	77.87	0.00	77.87	69.72	99.86			0	0	0	0	0	0	0
	12	28	600	19.69	48.26	69.70	0.00	69.70	58.85	98.93			0	0	0	0	0	0	0
	13	35	425	17.51	38.78	59.89	0.00	59.89	46.67	95.54			0	0	0	0	0	0	0
	14	48	300	15.57	29.60	49.23	0.00	49.23	34.81	88.11			0	0	0	0	0	0	232.6283753369
	15	65	212	13.83	22.09	39.24	0.00	39.24	25.15	77.23			0	0	0	0	0	0	0
	16	100	150	12.28	16.71	31.10	0.00	31.10	18.35	65.48			0	0	0	0	0	0	0
	17	150	106	10.87	13.11	25.07	0.00	25.07	13.95	55.07			0	0	0	0	0	0	0
	18	200	75	9.62	10.75	20.82	0.00	20.82	11.16	46.83			0	0	0	0	0	0	0
	19	270	53	8.49	9.10	17.74	0.00	17.74	9.32	40.44			0	0	0	0	0	0	0
	20	400	38	7.52	7.91	15.49	0.00	15.49	8.05	35.55			0	0	0	0	0	0	0
		 D80, microns		9964	3595	953	0	953	1301	232.6			9963.6822961264	3595.0503668094	953.153008367	0	953.153008367	1300.7565305686	232.6283753369
		 Specific Energy Consumption :			8.07	 kWh/ton (Gross)
		 Operational Work Index :			14.53	 kWh/ton
					Moly-Cop ToolsTM, Version 3.0				Simulation N°	0
		BALLSIM
		Conventional Closed Circuit Grinding Simulator
		Remarks :	 Base Case Example
			 
		CLASSIFIERS PERFORMANCE
		Number of Cyclones :		18			Operating Conditions :
		Cyclone Dimensions, in :						Feed Flowrate, m3/hr		7674.7
			Diameter	26.00				Pressure, psi		15.3
			Height	80.00				D50 (corr.), microns		232.5
			Inlet	6.75				Water By-Pass, %		37.4
			Vortex	9.25				Solids By-Pass, %		36.3
			Apex	5.37				Plitt's Parameter		1.31
		Ore Density, ton/m3		2.80				Circulating Load, %		270
		Mass Balance around the Classifiers
					Size Distributions, % Passing				Classifier Efficiency
	i	Mesh	Opening	Mid-Size	Feed	U'flow	O'flow		Actual	Corrected
	1	1.05	25400	21997	100.00	100.00	100.00		1.000	1.000
	2	0.742	19050	15554	100.00	100.00	100.00		1.000	1.000
	3	0.525	12700	10984	99.44	99.23	100.00		1.000	1.000
	4	0.371	9500	7978	98.83	98.40	100.00		1.000	1.000
	5	3	6700	5641	98.00	97.25	100.00		1.000	1.000
	6	4	4750	3989	96.84	95.67	100.00		1.000	1.000
	7	6	3350	2812	95.12	93.31	100.00		1.000	1.000
	8	8	2360	2003	92.58	89.83	100.00		1.000	1.000
	9	10	1700	1416	89.11	85.07	100.00		1.000	0.999
	10	14	1180	1001	84.12	78.23	99.99		0.994	0.991
	11	20	850	714	77.87	69.72	99.86		0.969	0.951
	12	28	600	505	69.70	58.85	98.93		0.907	0.853
	13	35	425	357	59.89	46.67	95.54		0.811	0.704
	14	48	300	252	49.23	34.81	88.11		0.705	0.538
	15	65	212	178	39.24	25.15	77.23		0.609	0.387
	16	100	150	126	31.10	18.35	65.48		0.533	0.267
	17	150	106	89	25.07	13.95	55.07		0.477	0.179
	18	200	75	63	20.82	11.16	46.83		0.438	0.117
	19	270	53	45	17.74	9.32	40.44		0.412	0.077
	20	400	38	19	15.49	8.05	35.55		0.379	0.026
		 Ore, ton/hr			8459.1	6170.1	2289.0		Classifier Constants
		 Water, m3/hr			4653.6	1740.3	2913.3		a1	10.637
		 Slurry, ton/hr			13112.6	7910.4	5202.3		a2	1.228
		 Slurry, m3/hr			7674.7	3943.9	3730.8		a3	48.323
		 Slurry Dens., ton/m3			1.709	2.006	1.394		a4	0.358
		 % Solids (by volume)			39.4	55.9	21.9		l	0.970
		 % Solids (by weight)			64.5	78.0	44.0		Bpc	0.000
					Moly-Cop ToolsTM, Version 3.0				Simulation N°	0
		BALLSIM
		Conventional Closed Circuit Grinding Simulator
		Remarks :	 Base Case Example
			 
		BALL MILL PERFORMANCE
		Eff. Diameter, ft		28.5				Mill Power, kW (Gross)		18480
		Eff. Length, ft		36.3				Mill Power, kW (Net)		17556
		Speed, % Critical		75.0				Throughput, ton/hr		8459.1
		App. Density, ton/m3		5.43				% Solids (by weight)		76.0
		Charge Level, %		35.0				Sp. Energy, kWh/ton		2.18
		Balls Filling, %		35.0				Reduction Ratio		3.77
		Lift Angle, (°)		31.6				Arbiter's Flow Number		3.55
						Size Distributions
						Mill	Mill
	i	Mesh	Opening	Mid-Size		Feed	Discharge
	1	1.05	25400	21997		100.00	100.00
	2	0.742	19050	15554		100.00	100.00
	3	0.525	12700	10984		96.18	99.44
	4	0.371	9500	7978		93.02	98.83
	5	3	6700	5641		88.26	98.00
	6	4	4750	3989		83.56	96.84
	7	6	3350	2812		79.12	95.12
	8	8	2360	2003		74.66	92.58
	9	10	1700	1416		69.90	89.11
	10	14	1180	1001		63.84	84.12
	11	20	850	714		56.86	77.87
	12	28	600	505		48.26	69.70
	13	35	425	357		38.78	59.89
	14	48	300252		29.60	49.23
	15	65	212	178		22.09	39.24
	16	100	150	126		16.71	31.10
	17	150	106	89		13.11	25.07
	18	200	75	63		10.75	20.82
	19	270	53	45		9.10	17.74
	20	400	38	19		7.91	15.49
			D80, microns			3595	953
	Selection Function Parameters						Breakage Function Parameters
	alpha01	alpha02	alpha11	alpha12	alpha2	Dcrit	Beta00	Beta01	Beta1	Beta2
	0.00581	0.0000000	0.720	1.000	2.52	9415	0.179	0.000	0.32	4.00
&"Arial,Bold"&8Moly-Cop Tools&"Arial,Regular" / &F	&8Page &P	&8&D / &T
Hoja1
				Alim. Fresca	Alim. Molino	Desc. Molino	Alim. Ciclón	Under	Over
		1.05	25400	100.00	100.00	100.00	100.00	100.00	100.00
		0.742	19050	100.00	100.00	100.00	100.00	100.00	100.00
		0.525	12700	95.00	97.86	99.11	99.11	98.81	100.00
		0.371	9500	78.40	91.90	97.30	97.30	96.40	100.00
		3	6700	64.33	86.54	95.44	95.44	93.93	100.00
		4	4750	54.00	82.20	93.68	93.68	91.58	100.00
		6	3350	45.66	78.17	91.74	91.74	88.99	100.00
		8	2360	38.82	74.10	89.37	89.37	85.84	100.00
		10	1700	33.41	69.85	86.47	86.47	81.98	100.00
		14	1180	28.31	64.63	82.52	82.52	76.71	100.00
		20	850	24.41	58.84	77.70	77.70	70.29	100.00
		28	600	20.87	51.67	71.42	71.42	61.91	99.98
		35	425	17.86	43.18	63.58	63.58	51.60	99.61
		48	300	15.27	33.81	54.25	54.25	39.98	97.14
		65	212	13.06	25.21	44.50	44.50	29.25	90.34
		100	150	11.18	18.71	35.85	35.85	21.21	79.87
		150	106	9.56	14.39	29.16	29.16	15.99	68.74
		200	75	8.18	11.64	24.38	24.38	12.79	59.22
		270	53	7.00	9.82	20.99	20.99	10.76	51.75
		400	38	6.15	8.62	18.61	18.61	9.44	46.18
		 D80, microns		9795	3934	996	996	1487	151
		1.05	25400	100.00	100.00	100.00	100.00	100.00	100.00
		0.742	19050	100.00	100.00	100.00	100.00	100.00	100.00
		0.525	12700	95.50	97.94	99.22	99.22	98.91	100.00
		0.371	9500	93.48	96.85	98.71	98.71	98.20	100.00
		3	6700	89.10	95.06	98.16	98.16	97.43	100.00
		4	4750	79.99	91.77	97.46	97.46	96.46	100.00
		6	3350	67.31	87.11	96.42	96.42	94.99	100.00
		8	2360	55.21	82.04	94.80	94.80	92.73	100.00
		10	1700	46.14	77.11	92.45	92.45	89.45	100.00
		14	1180	38.43	71.39	88.93	88.93	84.52	100.00
		20	850	33.05	65.31	84.38	84.38	78.15	100.00
		28	600	28.38	57.86	78.26	78.26	69.60	100.00
		35	425	24.49	48.99	70.46	70.46	58.74	99.90
		48	300	21.11	38.76	60.82	60.82	45.79	98.56
		65	212	18.17	28.85	50.22	50.22	33.11	93.19
		100	150	15.62	21.15	40.39	40.39	23.36	83.14
		150	106	13.38	16.03	32.56	32.56	17.08	71.43
		200	75	11.44	12.79	26.93	26.93	13.33	61.06
		270	53	9.75	10.67	22.94	22.94	11.03	52.85
		400	38	8.35	9.21	20.13	20.13	9.55	46.68
		 D80, microns		4751	2065	664	664	937	137
		1.05	25400	100.00	100.00	100.00	100.00	100.00	100.00
		0.742	19050	100.00	100.00	100.00	100.00	100.00	100.00
		0.525	12700	80.00	91.86	96.34	96.34	95.29	100.00
		0.371	9500	69.51	86.99	93.82	93.82	92.04	100.00
		3	6700	57.13	81.90	91.49	91.49	89.04	100.00
		4	4750	47.23	77.59	89.40	89.40	86.35	100.00
		6	3350	39.56	73.67	87.20	87.20	83.51	100.00
		8	2360	33.62	69.76	84.62	84.62	80.19	100.00
		10	1700	29.10	65.68	81.55	81.55	76.23	100.00
		14	1180	24.89	60.65	77.47	77.47	70.97	100.00
		20	850	21.64	55.04	72.58	72.58	64.67	100.00
		28	600	18.63	48.09	66.29	66.29	56.59	99.93
		35	425	16.02	39.96	58.57	58.57	46.87	99.15
		48	300	13.73	31.28	49.63	49.63	36.34	95.71
		65	212	11.73	23.52	40.61	40.61	26.92	88.04
		100	150	10.01	17.71	32.81	32.81	19.93	77.46
		150	106	8.52	13.79	26.83	26.83	15.31	66.76
		200	75	7.24	11.25	22.56	22.56	12.40	57.76
		270	53	6.14	9.53	19.50	19.50	10.51	50.65
		400	38	5.23	8.34	17.29	17.29	9.23	45.21
		 D80, microns		12700	5771	1483	1483	2325	164
Mill_Power
			CONVENTIONAL BALL MILL POWER ESTIMATION
			Hogg & Fuerstenau Model
										Mill
										Power, kW
			Mill Dimensions and Operating Conditions							15028
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell J9) contributed by the Ball Charge.	 Balls
			Diameter	Length	Mill Speed	Charge	Balls	Interstitial	Lift	0
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell J9) contributed by the Overfilling Slurry on top of the "kidney".	 Overfilling
			ft	ft	% Critical	Filling,%	Filling,%	Slurry Filling,%	Angle, (°)	2528
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell J9) contributed by the Interstitial Slurry in the ball charge.	 Slurry
			28.50
Jaime E. Sepúlveda J.: Mill Diameter, inside liners.	36.30
Jaime E. Sepúlveda J.: Effective Grinding Lenght.	75.00
Jaime E. Sepúlveda J.: Rotational Mill Speed, expressed as a percentage of the critical centrifugation speed of the mill.	35.00
Jaime E. Sepúlveda J.: Total Apparent Volumetric Charge Filling - including balls and excess slurry on top of the ball charge, plus the interstitial voids in between the balls - expressed as a percentage of the net internal mill volume (inside liners).	35.00
Jaime E. Sepúlveda J.: In some cases - particularly with Overflow Discharge Mills operating at low ball fillings - slurry may accumulate on top of the ball charge; therefore, the Total Charge Filling Level (Cell F9) could be higher than the actual Ball Filling Level (Cell G9).	100.00
Jaime E. Sepúlveda J.: This value represents the Volumetric Fractional Filling of the Voids in between the balls by the retained slurry in the mill charge.
As defined, this value should never exceed 100%, but in some cases - particularly in Grate Discharge Mills - it could be lower than 100%.
Note that this interstitial slurry does not include the overfilling slurry derived from the difference between Cells F9 and G9.	31.60
Jaime E. Sepúlveda J.: Represents the so-called Dynamic Angle of Repose (or Lift Angle) adopted during steady operation by the top surface of the mill charge ("the kidney") with respect to the horizontal. 
A reasonable default value for this angle is 35°, but may be easily "tuned" to specific applications against any available actual power data.	17556	 Net Total
										5.00	 % Losses
										18480	 Gross Total
			% Solids in the Mill		76.00		Charge	Mill Charge Weight, tons			Apparent
			Ore Density, ton/m3		2.80		Volume,	Ball	Slurry		Density
			Slurry Density, ton/m3		1.96		m3	Charge	Interstitial	above Balls	ton/m3
			Balls Density, ton/m3		7.75		229.96	1069.32	179.86	0.00	5.432
Jaime E. Sepúlveda J.: Corresponds to the ratio between the Total Charge Weight and its Apparent Volume (including interstitial voids).
			
Jaime E. Sepúlveda J.: Mill Diameter, inside liners.	
Jaime E. Sepúlveda J.: Effective Grinding Lenght.	
Jaime E. Sepúlveda J.: Rotational Mill Speed, expressed as a percentage of the critical centrifugation speed of the mill.	
Jaime E. Sepúlveda J.: Total Apparent Volumetric Charge Filling - including balls and excess slurry on top of the ball charge, plus the interstitial voids in between the balls - expressed as a percentage of the net internal mill volume (inside liners).				
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell J9) contributed by the Ball Charge.	
Jaime E. Sepúlveda J.: In some cases - particularly with Overflow Discharge Mills operating at low ball fillings - slurry may accumulate on top of the ball charge; therefore, the Total Charge Filling Level (Cell F9) could be higher than the actual Ball Filling Level (Cell G9).			
Jaime E. Sepúlveda J.: Component of the Total Mill Power Draw (Cell J9) contributed by the Overfilling Slurry on top of the "kidney".	
Jaime E. Sepúlveda J.: This value represents the Volumetric Fractional Filling of the Voids in between the balls by the retained slurry in the mill charge.
As defined, this value should never exceed 100%, but in some cases - particularly in Grate Discharge Mills - it could be lower than 100%.
Note that this interstitial slurry does not include the overfilling slurry derived from the difference between Cells F9 and G9.
&"Arial,Bold"&8Moly-Cop Tools&"Arial,Regular" / &F		&8&D / &T
SiE
	Selection Function :
	alpha01	alpha02	alpha11	alpha12	alpha2	dcrit
	0.0058143557	0	0.7199253855	1	2.5191340556	9415.1485159774
	i	Mesh	Opening	Mid-Size	SiE
	1	1.05	25400
	2	0.742	19050	21997.0452561247	0.82011122313	0.525	12700	15554.2598666732	1.3337977095
	4	0.371	9500	10984.0793879141	1.9057944355
	5	3	6700	7978.0950107153	2.258207865
	6	4	4750	5641.3650830273	2.2889832791
	7	6	3350	3989.0475053576	2.0398934762
	8	8	2360	2811.7610140266	1.6877294227
	9	10	1700	2002.9977533687	1.3575369993
	10	14	1180	1416.3332941084	1.0701507542
	11	20	850	1001.4988766843	0.8379408168
	12	28	600	714.1428428543	0.6582023183
	13	35	425	504.9752469181	0.5133113475
	14	48	300	357.0714214271	0.4001110438
	15	65	212	252.1904042584	0.3115439857
	16	100	150	178.3255450013	0.2427658035
	17	150	106	126.0952021292	0.1891644475
	18	200	75	89.1627725006	0.1473956892
	19	270	53	63.0476010646	0.114849004
	20	400	38	44.8776113446	0.0899164438
	21	-400	0	19	0
19050	12700	9500	6700	4750	3350	2360	1700	1180	850	600	425	300	212	150	106	75	53	38	0.82011122306267703	1.3337977094862761	1.9057944354632907	2.2582078650124973	2.2889832790778031	2.0398934762132326	1.687729422721892	1.3575369993421635	1.0701507541551614	0.83794081676934107	0.658202318291504	0.51331134750733587	0.40011104378036461	0.31154398572866626	0.24276580352961036	0.18916444749857503	0.14739568922800664	0.11484900402326827	8.9916443834196516E-2	
Bij
	Breakage Function :
	Beta00	Beta01	Beta1	Beta2
	0.1794342827	0	0.3194530094	4
	i	Mesh	Opening	Beta0J	Cummulative
	1	1.05	25400	0.1794342827	1
	2	0.742	19050	0.1794342827	1	1
	3	0.525	12700	0.1794342827	0.319722015	1	1
	4	0.371	9500	0.1794342827	0.1944222786	0.420458829	1	1
	5	3	6700	0.1794342827	0.1410637677	0.2098417285	0.3635050624	1	1
	6	4	4750	0.1794342827	0.1183077603	0.1471153982	0.1950792646	0.3680575379	1	1
	7	6	3350	0.1794342827	0.1037678881	0.1211973307	0.141304389	0.1950792646	0.3635050624	1	1
	8	8	2360	0.1794342827	0.0922736318	0.105792605	0.1181247766	0.1412021722	0.1935051133	0.3625449648	1	1
	9	10	1700	0.1794342827	0.0829715479	0.0946498871	0.1044000487	0.1191803313	0.1426891665	0.1988924594	0.3825160425	1	1
	10	14	1180	0.1794342827	0.0738028501	0.0840564427	0.092353014	0.1038224628	0.1181247766	0.1412021722	0.1950792646	0.3501584715	1	1
	11	20	850	0.1794342827	0.0664527625	0.0756552717	0.0830417431	0.09299505	0.1044000487	0.1191803313	0.1432965361	0.1950792646	0.3825160425	1	1
	12	28	600	0.1794342827	0.059453136	0.0676780731	0.0742633926	0.0830651969	0.0928627296	0.1044320437	0.1192812402	0.1413850686	0.1994197566	0.3642639444	1	1
	13	35	425	0.1794342827	0.0532510902	0.0606159758	0.0665086088	0.0743667253	0.0830417431	0.09299505	0.1046314602	0.1184379841	0.1432965361	0.1950792646	0.3672860812	1	1
	14	48	300	0.1794342827	0.0476435804	0.0542324045	0.0595030794	0.0665272674	0.0742633926	0.0830651969	0.0930558125	0.1038943656	0.1192812402	0.1413850686	0.1950792646	0.3642639444	1	1
	15	65	212	0.1794342827	0.0426417688	0.0485387442	0.0532557246	0.0595408876	0.0664585489	0.0743106679	0.0831481713	0.0924733974	0.1045453057	0.1183212381	0.1414874006	0.1944901099	0.3652278573	1	1
	16	100	150	0.1794342827	0.038180273	0.0434602315	0.0476835974	0.0533107625	0.0595030794	0.0665272674	0.0744141623	0.0826702137	0.0930558125	0.1038943656	0.1184379841	0.1413850686	0.1950792646	0.366313539	1	1
	17	150	106	0.1794342827	0.0341719809	0.0388976239	0.0426775844	0.0477138911	0.0532557246	0.0595408876	0.0665932739	0.0739591118	0.0831481713	0.0924733974	0.1039344892	0.1183212381	0.1414874006	0.1950792646	0.3652278573	1	1
	18	200	75	0.1794342827	0.0305966626	0.0348278728	0.0382123411	0.0427216883	0.0476835974	0.0533107625	0.0596236547	0.0662129819	0.0744141623	0.0826702137	0.092544743	0.1038943656	0.1184379841	0.141602467	0.1950792646	0.366313539	1	1
	19	270	53	0.1794342827	0.0273845247	0.0311715281	0.0342006825	0.0382366174	0.0426775844	0.0477138911	0.0533636279	0.0592597193	0.0665932739	0.0739591118	0.08269975	0.0924733974	0.1039344892	0.1184379841	0.1414874006	0.1950792646	0.3652278573	1	1
	20	400	38	0.1794342827	0.0246233261	0.0280284834	0.0307522059	0.0343811934	0.038374369	0.0429028371	0.0479828076	0.0532840328	0.0598765124	0.0664938936	0.0743293635	0.0830232466	0.092947201	0.1044607105	0.1191009934	0.1428477305	0.1984793897	0.378184248	1	1
	i	Mesh	Opening		Partial
	1	1.05	25400		0
	2	0.742	19050		0.680277985	0
	3	0.525	12700		0.1252997365	0.579541171	0
	4	0.371	9500		0.0533585109	0.2106171005	0.6364949376	0
	5	3	6700		0.0227560074	0.0627263303	0.1684257978	0.6319424621	0
	6	4	4750		0.0145398722	0.0259180676	0.0537748756	0.1729782733	0.6364949376	0
	7	6	3350		0.0114942563	0.0154047257	0.0231796124	0.0538770924	0.1699999491	0.6374550352	0
	8	8	2360		0.0093020839	0.0111427179	0.0137247279	0.0220218408	0.0508159469	0.1636525054	0.6174839575	0
	9	10	1700		0.0091686979	0.0105934444	0.0120470347	0.0153578685	0.0245643899	0.0576902873	0.1874367778	0.6498415285	0
	10	14	1180		0.0073500875	0.008401171	0.0093112708	0.0108274128	0.0137247279	0.0220218408	0.0517827285	0.1550792069	0.6174839575	0
	11	20	850		0.0069996265	0.0079771986	0.0087783506	0.0099298531	0.0115373191	0.0147482876	0.0240152959	0.053694196	0.1830962858	0.6357360556	0
	12	28	600		0.0062020459	0.0070620973	0.0077547838	0.0086984716	0.0098209865	0.0114369937	0.0146497801	0.0229470844	0.0561232205	0.1691846798	0.6327139188	0
	13	35	425		0.0056075098	0.0063835714	0.0070055293	0.007839458	0.0087783506	0.0099298531	0.0115756477	0.0145436185	0.0240152959	0.053694196	0.1722068166	0.6357360556	0
	14	48	300		0.0050018116	0.0056936603	0.0062473549	0.0069863798	0.0078048437	0.0087545291	0.0099076412	0.0114209682	0.0147359345	0.0230638305	0.053591864	0.1697738345	0.6347721427	0
	15	65	212		0.0044614959	0.0050785127	0.0055721272	0.0062301251	0.0069554694	0.0077834005	0.008734009	0.0098031837	0.0114894933	0.0144268724	0.0230494165	0.0531050413	0.1701485927	0.633686461	0
	16	100	150		0.004008292	0.0045626076	0.005006013	0.0055968714	0.0062473549	0.0069863798	0.0078208884	0.0087111019	0.0099076412	0.0114209682	0.0145034949	0.0230638305	0.053591864	0.1712342744	0.6347721427	0
	17	150	106		0.0035753183	0.004069751	0.0044652432	0.0049922027	0.0055721272	0.0062301251	0.0069696192	0.0077461299	0.008734009	0.0098031837	0.0113897462	0.0144268724	0.0230494165	0.0534767976	0.1701485927	0.633686461	0
	18	200	75		0.0032121379	0.0036563447	0.0040116587	0.004485071	0.005006013	0.0055968714	0.0062600268	0.0069532625	0.0078208884	0.0087111019	0.009844993	0.0114209682	0.0145034949	0.0231644829	0.053591864	0.1712342744	0.6347721427	0
	19	270	53		0.0027611987	0.0031430447	0.0034484766	0.0038554239	0.0043032154	0.0048110539	0.0053808203	0.0059756865	0.0067167615	0.0074652182	0.0083703865	0.0094501508	0.0109872882	0.0139772737	0.0223864072	0.0522315341	0.1667484676	0.621815752	0
	20	400	38		0.0246233261	0.0280284834	0.0307522059	0.0343811934	0.038374369	0.0429028371	0.0479828076	0.0532840328	0.0598765124	0.0664938936	0.0743293635	0.0830232466	0.092947201	0.1044607105	0.1191009934	0.1428477305	0.1984793897	0.378184248	1	0
					1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	0
J&T
		 Mill Throughput, ton/hr		8459.0804548465		Reynolds Number		8.6785267002
		 Slurry, m3/hr		5692.3887271336		Slurry Viscosity, cp		16.914635647
		 Slurry Dens., ton/m3		1.9553072626
		 % Solids (by volume)		53.0726256983
		Ebar		1.7765841449		N		4.6185661978
		Matrix J
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	0.2818539855	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	2	0	0.1476800419	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	3	0	0	0.078884923	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	0	0	0	0.0557102432	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	5	0	0	0	0	0.0541088142	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	6	0	0	0	0	0	0.0688913997	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	7	0	0	0	0	0	0	0.0991981224	0	0	0	0	0	0	0	0	0	0	0	0	0
	8	0	0	0	0	0	0	0	0.1436325013	0	0	0	0	0	0	0	0	0	0	0	0
	9	0	0	0	0	0	0	0	0	0.2034613469	0	0	0	0	0	0	0	0	0	0	0
	10	0	0	0	0	0	0	0	0	0	0.2751653487	0	0	0	0	0	0	0	0	0	0
	11	0	0	0	0	0	0	0	0	0	0	0.3526227471	0	0	0	0	0	0	0	0	0
	12	0	0	0	0	0	0	0	0	0	0	0	0.4350721584	0	0	0	0	0	0	0	0
	13	0	0	0	0	0	0	0	0	0	0	0	0	0.516249365	0	0	0	0	0	0	0
	14	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5928867679	0	0	0	0	0	0
	15	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.6621069669	0	0	0	0	0
	16	0	0	0	0	0	0	00	0	0	0	0	0	0	0	0.7229593619	0	0	0	0
	17	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.7751438892	0	0	0
	18	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.8190088426	0	0
	19	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.8546667479	0
	20	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1
		Matrix T
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20			SiE
	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0		1	0.8201112231
	2	1.0860780359	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0		2	1.3337977095
	3	0.8679216146	1.351390054	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0		3	1.9057944355
	4	0.97467391	2.0772113533	3.4420609674	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0		4	2.258207865
	5	1.2111563877	3.6450927708	13.6564614065	46.3700483474	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0		5	2.2889832791
	6	1.8722283815	8.9153610566	159.1620793995	-311.2408798079	-5.8490000497	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0		6	2.0398934762
	7	3.566655383	37.7032576623	-975.5894759146	677.5954112071	12.002523988	-3.6924278748	1	0	0	0	0	0	0	0	0	0	0	0	0	0		7	1.6877294227
	8	8.5180288676	1804.8575286211	1754.2617478596	-674.7125110927	-11.4575626817	5.1501155217	-3.1561773361	1	0	0	0	0	0	0	0	0	0	0	0	0		8	1.3575369993
	9	36.0254063323	-6089.6389232616	-1506.1464292689	349.186720561	5.6963224747	-3.6019440506	3.9962298745	-3.0696803809	1	0	0	0	0	0	0	0	0	0	0	0		9	1.0701507542
	10	1463.3075828637	7341.1784679878	658.8231517949	-95.3459569622	-1.4952368142	1.309298116	-2.4284286384	3.4987205993	-2.8457047544	1	0	0	0	0	0	0	0	0	0	0		10	0.8379408168
	11	-4863.745313394	-4220.0368465348	-119.7653293907	7.6285217244	0.1095354448	-0.1791539297	0.6800702618	-1.9092680608	3.2042661907	-2.9638012677	1	0	0	0	0	0	0	0	0	0		11	0.6582023183
	12	5917.3468510099	1249.1913114281	8.8387769243	-0.0963707779	-0.0009158473	0.0084233144	-0.0897187641	0.5357975824	-1.7797999085	3.3654352443	-2.8742561796	1	0	0	0	0	0	0	0	0		12	0.5133113475
	13	-3444.8246512659	-149.7330787135	0.4039464279	-0.0425958967	-0.0005983713	0.0008654802	0.0011879971	-0.0592281728	0.4775013674	-1.8438651664	3.1950348649	-2.8827708106	1	0	0	0	0	0	0	0		13	0.4001110438
	14	986.4347542168	3.2139387134	0.2086514154	-0.0354799404	-0.0005222149	0.000519803	-0.0002513869	0.0009412057	-0.0526926377	0.4943732111	-1.7200360203	3.1968371871	-2.8676502321	1	0	0	0	0	0	0		14	0.3115439857
	15	-114.5267323245	0.7637525659	0.1761703658	-0.0315815383	-0.0004674456	0.0004447809	-0.0002902114	0.0003104991	-0.000115042	-0.0519793507	0.4458883975	-1.7081362351	3.1653746545	-2.8704045301	1	0	0	0	0	0		15	0.2427658035
	16	1.0441792915	0.5791183355	0.1580618958	-0.0285091264	-0.0004223122	0.0003994486	-0.0002691944	0.0002508436	-0.0003370693	0.0000833636	-0.0447327411	0.4401066412	-1.6888133985	3.1785142974	-2.8749453501	1	0	0	0	0		16	0.1891644475
	17	0.0400731644	0.5084726337	0.1414978106	-0.0255336588	-0.0003782783	0.0003575486	-0.000242326	0.000222019	-0.0003171754	-0.0000186527	-0.0001498672	-0.0444895196	0.4362365662	-1.7003297105	3.180411082	-2.869871029	1	0	0	0		17	0.1473956892
	18	-0.0142752533	0.4581100723	0.1276694549	-0.023028177	-0.0003411547	0.0003225254	-0.0002189618	0.0002002547	-0.0002886494	-0.0000226324	-0.0001757955	-0.0001866473	-0.0434780313	0.4385406397	-1.699967777	3.1772854945	-2.8747221687	1	0	0		18	0.114849004
	19	-0.0173676849	0.3947095755	0.1099815344	-0.0198327303	-0.0002938109	0.000277808	-0.000188706	0.0001725712	-0.0002491953	-0.0000201238	-0.000154235	-0.000134732	-0.0001365117	-0.0437100148	0.4331435358	-1.6750990099	3.1440922124	-2.8643235696	1	0		19	0.0899164438
	20	-0.1672495362	3.5711256795	0.9909773174	-0.1784221314	-0.0026429269	0.0025015082	-0.0017026083	0.0015610395	-0.0022631259	-0.0001846253	-0.0014184236	-0.0012258837	-0.0015330471	-0.0026106817	-0.0386414907	0.3676845444	-1.2693700436	1.8643235696	-1	1		20	0
		Vector SiE
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	0.8201112231	1.3337977095	1.9057944355	2.258207865	2.2889832791	2.0398934762	1.6877294227	1.3575369993	1.0701507542	0.8379408168	0.6582023183	0.5133113475	0.4001110438	0.3115439857	0.2427658035	0.1891644475	0.1473956892	0.114849004	0.0899164438	0
		Matrix bij
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	2	0.680277985	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	3	0.1252997365	0.579541171	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	0.0533585109	0.2106171005	0.6364949376	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	5	0.0227560074	0.0627263303	0.1684257978	0.6319424621	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	6	0.0145398722	0.0259180676	0.0537748756	0.1729782733	0.6364949376	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	7	0.0114942563	0.0154047257	0.0231796124	0.0538770924	0.1699999491	0.6374550352	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	8	0.0093020839	0.0111427179	0.0137247279	0.0220218408	0.0508159469	0.1636525054	0.6174839575	0	0	0	0	0	0	0	0	0	0	0	0	0
	9	0.0091686979	0.0105934444	0.0120470347	0.0153578685	0.0245643899	0.0576902873	0.1874367778	0.6498415285	0	0	0	0	0	0	0	0	0	0	0	0
	10	0.0073500875	0.008401171	0.0093112708	0.0108274128	0.0137247279	0.0220218408	0.0517827285	0.1550792069	0.6174839575	0	0	0	0	0	0	0	0	0	0	0
	11	0.0069996265	0.0079771986	0.0087783506	0.0099298531	0.0115373191	0.0147482876	0.0240152959	0.053694196	0.1830962858	0.6357360556	0	0	0	0	0	0	0	0	0	0
	12	0.0062020459	0.0070620973	0.0077547838	0.0086984716	0.0098209865	0.0114369937	0.0146497801	0.0229470844	0.0561232205	0.1691846798	0.6327139188	0	0	0	0	0	0	0	0	0
	13	0.0056075098	0.0063835714	0.0070055293	0.007839458	0.0087783506	0.0099298531	0.0115756477	0.0145436185	0.0240152959	0.053694196	0.1722068166	0.6357360556	0	0	0	0	0	0	0	0
	14	0.0050018116	0.0056936603	0.0062473549	0.0069863798	0.0078048437	0.0087545291	0.0099076412	0.0114209682	0.0147359345	0.0230638305	0.053591864	0.1697738345	0.6347721427	0	0	0	0	0	0	0
	15	0.0044614959	0.0050785127	0.0055721272	0.0062301251	0.0069554694	0.0077834005	0.008734009	0.0098031837	0.0114894933	0.0144268724	0.0230494165	0.0531050413	0.1701485927	0.633686461	0	0	0	0	0	0
	16	0.004008292	0.0045626076	0.005006013	0.0055968714	0.0062473549	0.0069863798	0.0078208884	0.0087111019	0.0099076412	0.0114209682	0.0145034949	0.0230638305	0.053591864	0.1712342744	0.6347721427	0	0	0	0	0
	17	0.0035753183	0.004069751	0.0044652432	0.0049922027	0.0055721272	0.0062301251	0.0069696192	0.0077461299	0.008734009	0.0098031837	0.0113897462	0.0144268724	0.0230494165	0.0534767976	0.1701485927	0.633686461	0	0	0	0
	18	0.0032121379	0.0036563447	0.0040116587	0.004485071	0.005006013	0.0055968714	0.0062600268	0.0069532625	0.0078208884	0.0087111019	0.009844993	0.0114209682	0.0145034949	0.0231644829	0.053591864	0.1712342744	0.6347721427	0	0	0
	19	0.0027611987	0.0031430447	0.0034484766	0.0038554239	0.0043032154	0.0048110539	0.0053808203	0.0059756865	0.0067167615	0.0074652182	0.0083703865	0.0094501508	0.0109872882	0.0139772737	0.0223864072	0.0522315341	0.1667484676	0.621815752	0	0
	20	0.0246233261	0.0280284834	0.0307522059	0.0343811934	0.038374369	0.0429028371	0.0479828076	0.0532840328	0.0598765124	0.0664938936	0.0743293635	0.0830232466	0.092947201	0.1044607105	0.1191009934	0.1428477305	0.1984793897	0.378184248	1	0
		1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	0
		Matrix Tij (inverse)
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	1	-9.91243276993069E-16	4.50292221529256E-16	-0	-0	-0	-0	-7.7870534843126E-16	-0	-0	-7.86435364900846E-16	-4.12767869735151E-19	-2.56658280817759E-16	-5.12970493342246E-16	-1.81526628193981E-16	-3.17219817863824E-16	1.27601535945552E-16	-1.12291621869412E-16	0	0
	2	-1.0860780359	1	-0	2.81713232803521E-16	6.41290714888983E-16	0	0	-1.50613328903025E-16	0	0	9.79302389083299E-16	-3.1348964556553E-16	2.40683907638598E-16	5.75979360163233E-16	1.97152083819448E-16	3.44525476746294E-16	-1.38585225542475E-16	1.21957464132274E-16	0	0
	3	0.5997934411	-1.351390054	1	0	0	-0	-0	0	-0	-8.20474728586048E-17	-7.45760423630121E-16	2.78634127910712E-16	-2.04872127657582E-16	-3.33154599822832E-16	-1.08878480968593E-16	-1.90266366129148E-16	7.65345643293981E-17	-6.73517782833278E-17	0	0
	4	-0.7831858752	2.5743556032	-3.4420609674	1	-0	0	0	-0	0	-0	0	-3.04842337809415E-16	4.55389138513845E-16	4.50286534425783E-161.42169091167421E-16	2.48442080672578E-16	-9.99357206016077E-17	8.79452121472219E-17	0	0
	5	30.8730097262	-104.5628804381	145.9520720657	-46.3700483474	1	-0	-0	0	-0	0	-0	0	-0	-0	-0	-0	0	-0	0	0
	6	-150.8370472615	395.8311000218	-376.7984864768	40.0224647204	5.8490000497	1	0	-0	0	-0	0	-0	0	0	0	0	-0	0	0	0
	7	225.7083909225	-383.880447597	164.8197117949	26.7422707594	9.594486835	3.6924278748	1	0	-0	-0	-0	0	-0	-0	-0	-0	0	-0	0	0
	8	2214.0114626651	-2145.42213446	56.3476403947	21.7078077103	11.6164386388	6.5038416517	3.156177336	1	-0	-0	-0	0	-0	-0	-0	-0	0	-0	0	0
	9	-297.8379197164	125.016467972	33.783065519	18.8784767986	12.6884273203	8.8108685861	5.6922257725	3.0696803809	1	0	0	-0	0	0	0	0	-0	0	0	0
	10	-1762.0427556495	49.7621041588	23.8095993495	16.3251292901	12.6015234646	9.9755053453	7.5842399218	5.2366834551	2.8457047544	1	0	-0	0	0	0	0	-0	0	0	0
	11	133.5114853228	32.6953466056	20.3420632107	15.7729987789	13.2836185422	11.4186677432	9.5846916223	7.5936840631	5.2298371681	2.9638012677	1	-0	-0	-0	-0	-0	0	-0	0	0
	12	52.9776912398	23.6501177788	17.1992952475	14.4794586932	12.9421669096	11.7679562765	10.554260278	9.1300935599	7.2346566318	5.1532888647	2.8742561796	1	-0	-0	-0	-0	0	-0	0	0
	13	32.3373773545	19.1442624387	15.3626995125	13.6666733859	12.7166037731	12.0075229132	11.2541063897	10.307071682	8.9159393765	7.2301675012	5.0907869521	2.8827708106	1	-0	-0	-0	0	-0	0	0
	14	23.3989943746	16.3388340495	13.9995769567	12.9336954649	12.3687651164	11.9805877184	11.5663780163	11.0029963376	10.0811370158	8.8628377609	7.1301033647	5.0699411972	2.8676502321	1	-0	-0	0	-0	0	0
	15	18.827856997	14.6058656519	13.0869710571	12.4085543428	12.0880391876	11.9087869113	11.7253212894	11.4390571375	10.8885411893	10.0867148945	8.8157657402	7.1358687559	5.0659415624	2.8704045301	1	-0	0	-0	0	0
	16	16.1161515846	13.4213363444	12.4072294308	11.9771999354	11.8133863698	11.7678417436	11.7363590858	11.6420225058	11.3683049655	10.9030002331	10.0588519577	8.8287074455	7.1382512748	5.0737418593	2.8749453501	1	0	-0	0	0
	17	14.3358910521	12.5431839701	11.8547000435	11.5865433713	11.521566728	11.5575148229	11.6201775097	11.6507798464	11.5703504436	11.3557177618	10.860612076	10.0497467781	8.8137981679	7.1322481037	5.0703112882	2.869871029	1	-8.00495166178202E-16	0	0
	18	13.1473482656	11.9146807316	11.4399119195	11.2766040946	11.2716937887	11.3536504506	11.4697228521	11.5754679068	11.6206435974	11.5788238111	11.3431251435	10.8718012881	10.0547930326	8.8235598926	7.1411818811	5.0727963739	2.8747221687	1	0	0
	19	12.4471638406	11.56545855	11.2292028824	11.1319974189	11.161703409	11.2670727047	11.4101225531	11.5569933459	11.6777213902	11.7462370414	11.6875892276	11.4632652371	10.9772658376	10.1485176608	8.8958039149	7.1820900746	5.0900422515	2.8643235696	1	0
	20	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
C
		Cyclone	Cyclone	Cyclone		Number of Cyclones				18
		Feed	U'flow	O'flow		Classifier Dimensions, inches.
	Solids, tons	469.9489141581	342.7822474915	127.1666666667		DC	h	DI	DO	DU
	Water, m3/hr	258.5306572179	96.6821723694	161.8484848485		26	80	6.75	9.25	5.3707296454
	Slurry, tons	728.479571376	439.4644198609	289.0151515152
	Slurry, m3/hr	426.3695551315	219.1044036163	207.2651515152		Classifier Constants
	Solids Density, ton/m3	2.8	2.8	2.8		a1	a2	a3	a4	l	Bpc
	Slurry Density, ton/m3	1.7085637626	2.005730659	1.3944223108		10.6367547994	1.2282598789	48.3232354267	0.3578672672	0.9699836829	0
	% Solids (by volume)	39.3646534781	55.8739255014	21.9123505976
	% Solids (by weight)	64.5109255803	78	44
		Opening	Mid-Size	Classifier
				Efficiency
	1	25400				Circulating Load, CL				2.6955353669
	2	19050	21997.0452561247	1		Slurry Split, S				1.0571212865
	3	12700	15554.2598666732	1		Cyclone Pressure, ft				20.6807357433
	4	9500	10984.0793879141	1		Cyclone Pressure, lb/in2				15.2997760073
	5	6700	7978.0950107153	1		Corrected Cut Size, d50c, microns				232.4620443477
	6	4750	5641.3650830273	1		Water By-Pass				0.3739679209
	7	3350	3989.0475053576	1		Solids By-Pass				0.3627427812
	8	2360	2811.7610140266	0.9999999928		Plitt's Parameter				1.3130699417
	9	1700	2002.9977533687	0.9999948134
	10	1180	1416.3332941084	0.9996236608
	11	850	1001.4988766843	0.9942982973
	12	600	714.1428428543	0.9690651266
	13	425	504.9752469181	0.9065029942
	14	300	357.0714214271	0.8114044631
	15	212	252.1904042584	0.7053048779
	16	150	178.3255450013	0.6093142027
	17	106	126.0952021292	0.5327891831
	18	75	89.1627725006	0.4766449327
	19	53	63.0476010646	0.4375784904
	20	38	44.8776113446	0.4117036555
	21	0	19	0.3790114375
Mill
		Matrix J
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	0.2818539855	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	2	0	0.1476800419	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	3	0	0	0.078884923	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	0	0	0	0.0557102432	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	5	0	0	0	0	0.0541088142	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	6	0	0	0	0	0	0.0688913997	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	7	0	0	0	0	0	0	0.0991981224	0	0	0	0	0	0	0	0	0	0	0	0	0
	8	0	0	0	0	0	0	0	0.1436325013	0	0	0	0	0	0	0	0	0	0	0	0
	9	0	0	0	0	0	0	0	0	0.2034613469	0	0	0	0	0	0	0	0	0	0	0
	10	0	0	0	0	0	0	0	0	0	0.2751653487	0	0	0	0	0	0	0	0	0	0
	11	0	0	0	0	0	0	0	0	0	0	0.3526227471	0	0	0	0	0	0	0	0	0
	12	0	0	0	0	0	0	0	0	0	0	0	0.4350721584	0	0	0	0	0	0	0	0
	13	0	0	0	0	0	0	0	0	0	0	0	0	0.516249365	0	0	0	0	0	0	0
	14	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5928867679	0	0	0	0	0	0
	15	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.6621069669	0	0	0	0	0
	16	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.7229593619	0	0	0	0
	17	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.7751438892	0	0	0
	18	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.8190088426	0	0
	19	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.8546667479	0
	20	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1
																								0
		Matrix T
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	2	1.0860780359	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	3	0.8679216146	1.351390054	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	0.97467391	2.0772113533	3.4420609674	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	5	1.2111563877	3.6450927708	13.6564614065	46.3700483474	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	6	1.8722283815	8.9153610566	159.1620793995	-311.2408798079	-5.8490000497	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	7	3.566655383	37.7032576623	-975.5894759146	677.5954112071	12.002523988	-3.6924278748	1	0	0	0	0	0	0	0	0	0	0	0	0	0
	8	8.5180288676	1804.8575286211	1754.2617478596	-674.7125110927	-11.4575626817	5.1501155217	-3.1561773361	1	0	0	0	0	0	0	0	0	0	0	0	0
	9	36.0254063323	-6089.6389232616	-1506.1464292689	349.186720561	5.6963224747	-3.6019440506	3.9962298745	-3.0696803809	1	0	0	0	0	0	0	0	0	0	0	0
	10	1463.3075828637	7341.1784679878	658.8231517949	-95.3459569622	-1.4952368142	1.309298116	-2.4284286384	3.4987205993	-2.8457047544	1	0	0	0	0	0	0	0	0	0	0
	11	-4863.745313394	-4220.0368465348	-119.7653293907	7.6285217244	0.1095354448	-0.1791539297	0.6800702618	-1.9092680608	3.2042661907	-2.9638012677	1	0	0	0	0	0	0	0	0	0
	12	5917.3468510099	1249.1913114281	8.8387769243	-0.0963707779	-0.0009158473	0.0084233144	-0.0897187641	0.5357975824	-1.7797999085	3.3654352443	-2.8742561796	1	0	0	0	0	0	0	0	0
	13	-3444.8246512659	-149.7330787135	0.4039464279	-0.0425958967	-0.0005983713	0.0008654802	0.0011879971	-0.0592281728	0.4775013674	-1.8438651664	3.1950348649	-2.8827708106	1	0	0	0	0	0	0	0
	14	986.4347542168	3.2139387134	0.2086514154	-0.0354799404	-0.0005222149	0.000519803	-0.0002513869	0.0009412057	-0.0526926377	0.4943732111	-1.7200360203	3.1968371871	-2.8676502321	1	0	0	0	0	0	0
	15	-114.5267323245	0.7637525659	0.1761703658	-0.0315815383	-0.0004674456	0.0004447809	-0.0002902114	0.0003104991	-0.000115042	-0.0519793507	0.4458883975	-1.7081362351	3.1653746545	-2.8704045301	1	0	0	0	0	0
	16	1.0441792915	0.5791183355	0.1580618958	-0.0285091264	-0.0004223122	0.0003994486	-0.0002691944	0.0002508436	-0.0003370693	0.0000833636	-0.0447327411	0.4401066412	-1.6888133985	3.1785142974	-2.8749453501	1	0	0	0	0
	17	0.0400731644	0.5084726337	0.1414978106	-0.0255336588	-0.0003782783	0.0003575486	-0.000242326	0.000222019	-0.0003171754	-0.0000186527	-0.0001498672	-0.0444895196	0.4362365662-1.7003297105	3.180411082	-2.869871029	1	0	0	0
	18	-0.0142752533	0.4581100723	0.1276694549	-0.023028177	-0.0003411547	0.0003225254	-0.0002189618	0.0002002547	-0.0002886494	-0.0000226324	-0.0001757955	-0.0001866473	-0.0434780313	0.4385406397	-1.699967777	3.1772854945	-2.8747221687	1	0	0
	19	-0.0173676849	0.3947095755	0.1099815344	-0.0198327303	-0.0002938109	0.000277808	-0.000188706	0.0001725712	-0.0002491953	-0.0000201238	-0.000154235	-0.000134732	-0.0001365117	-0.0437100148	0.4331435358	-1.6750990099	3.1440922124	-2.8643235696	1	0
	20	-0.1672495362	3.5711256795	0.9909773174	-0.1784221314	-0.0026429269	0.0025015082	-0.0017026083	0.0015610395	-0.0022631259	-0.0001846253	-0.0014184236	-0.0012258837	-0.0015330471	-0.0026106817	-0.0386414907	0.3676845444	-1.2693700436	1.8643235696	-1	1
		Matrix T (inverse)
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	1	-9.91243276993069E-16	4.50292221529256E-16	-0	-0	-0	-0	-7.7870534843126E-16	-0	-0	-7.86435364900846E-16	-4.12767869735151E-19	-2.56658280817759E-16	-5.12970493342246E-16	-1.81526628193981E-16	-3.17219817863824E-16	1.27601535945552E-16	-1.12291621869412E-16	0	0
	2	-1.0860780359	1	-0	2.81713232803521E-16	6.41290714888983E-16	0	0	-1.50613328903025E-16	0	0	9.79302389083299E-16	-3.1348964556553E-16	2.40683907638598E-16	5.75979360163233E-16	1.97152083819448E-16	3.44525476746294E-16	-1.38585225542475E-16	1.21957464132274E-16	0	0
	3	0.5997934411	-1.351390054	1	0	0	-0	-0	0	-0	-8.20474728586048E-17	-7.45760423630121E-16	2.78634127910712E-16	-2.04872127657582E-16	-3.33154599822832E-16	-1.08878480968593E-16	-1.90266366129148E-16	7.65345643293981E-17	-6.73517782833278E-17	0	0
	4	-0.7831858752	2.5743556032	-3.4420609674	1	-0	0	0	-0	0	-0	0	-3.04842337809415E-16	4.55389138513845E-16	4.50286534425783E-16	1.42169091167421E-16	2.48442080672578E-16	-9.99357206016077E-17	8.79452121472219E-17	0	0
	5	30.8730097262	-104.5628804381	145.9520720657	-46.3700483474	1	-0	-0	0	-0	0	-0	0	-0	-0	-0	-0	0	-0	0	0
	6	-150.8370472615	395.8311000218	-376.7984864768	40.0224647204	5.8490000497	1	0	-0	0	-0	0	-0	0	0	0	0	-0	0	0	0
	7	225.7083909225	-383.880447597	164.8197117949	26.7422707594	9.594486835	3.6924278748	1	0	-0	-0	-0	0	-0	-0	-0	-0	0	-0	0	0
	8	2214.0114626651	-2145.42213446	56.3476403947	21.7078077103	11.6164386388	6.5038416517	3.156177336	1	-0	-0	-0	0	-0	-0	-0	-0	0	-0	0	0
	9	-297.8379197164	125.016467972	33.783065519	18.8784767986	12.6884273203	8.8108685861	5.6922257725	3.0696803809	1	0	0	-0	0	0	0	0	-0	0	0	0
	10	-1762.0427556495	49.7621041588	23.8095993495	16.3251292901	12.6015234646	9.9755053453	7.5842399218	5.2366834551	2.8457047544	1	0	-0	0	0	0	0	-0	0	0	0
	11	133.5114853228	32.6953466056	20.3420632107	15.7729987789	13.2836185422	11.4186677432	9.5846916223	7.5936840631	5.2298371681	2.9638012677	1	-0	-0	-0	-0	-0	0	-0	0	0
	12	52.9776912398	23.6501177788	17.1992952475	14.4794586932	12.9421669096	11.7679562765	10.554260278	9.1300935599	7.2346566318	5.1532888647	2.8742561796	1	-0	-0	-0	-0	0	-0	0	0
	13	32.3373773545	19.1442624387	15.3626995125	13.6666733859	12.7166037731	12.0075229132	11.2541063897	10.307071682	8.9159393765	7.2301675012	5.0907869521	2.8827708106	1	-0	-0	-0	0	-0	0	0
	14	23.3989943746	16.3388340495	13.9995769567	12.9336954649	12.3687651164	11.9805877184	11.5663780163	11.0029963376	10.0811370158	8.8628377609	7.1301033647	5.0699411972	2.8676502321	1	-0	-0	0	-0	0	0
	15	18.827856997	14.6058656519	13.0869710571	12.4085543428	12.0880391876	11.9087869113	11.7253212894	11.4390571375	10.8885411893	10.0867148945	8.8157657402	7.1358687559	5.0659415624	2.8704045301	1	-0	0	-0	0	0
	16	16.1161515846	13.4213363444	12.4072294308	11.9771999354	11.8133863698	11.7678417436	11.7363590858	11.6420225058	11.3683049655	10.9030002331	10.0588519577	8.8287074455	7.1382512748	5.0737418593	2.8749453501	1	0	-0	0	0
	17	14.3358910521	12.5431839701	11.8547000435	11.5865433713	11.521566728	11.5575148229	11.6201775097	11.6507798464	11.5703504436	11.3557177618	10.860612076	10.0497467781	8.8137981679	7.1322481037	5.0703112882	2.869871029	1	-8.00495166178202E-16	0	0
	18	13.1473482656	11.9146807316	11.4399119195	11.2766040946	11.2716937887	11.3536504506	11.4697228521	11.5754679068	11.6206435974	11.5788238111	11.3431251435	10.8718012881	10.0547930326	8.8235598926	7.1411818811	5.0727963739	2.8747221687	1	0	0
	19	12.4471638406	11.56545855	11.2292028824	11.1319974189	11.161703409	11.2670727047	11.4101225531	11.5569933459	11.6777213902	11.7462370414	11.6875892276	11.4632652371	10.9772658376	10.1485176608	8.8958039149	7.1820900746	5.0900422515	2.8643235696	1	0
	20	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
		Matrix T*J
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	0.2818539855	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	2	0.306115423	0.1476800419	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	3	0.2446271662	0.1995733398	0.078884923	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	0.2747157261	0.3067626598	0.2715267143	0.0557102432	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	5	0.3413692549	0.5383074533	1.0772889062	2.5832866703	0.0541088142	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	6	0.5276950311	1.3166208947	12.5554883748	-17.3393051056	-0.3164824571	0.0688913997	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	7	1.0052760346	5.5680186728	-76.9593006681	37.7490051447	0.6494423407	-0.2543765247	0.0991981224	0	0	0	0	0	0	0	0	0	0	0	0	0
	8	2.4008403849	266.5414355204	138.3848028675	-37.5883980782	-0.6199551306	0.3547986671	-0.3130868657	0.1436325013	0	0	0	0	0	0	0	0	0	0	0	0
	9	10.1539043538	-899.3181315797	-118.8122450702	19.4532771221	0.3082212545	-0.2481429674	0.3964185003	-0.4409058714	0.2034613469	0	0	0	0	0	0	0	0	0	0	0
	10	412.4390742347	1084.145544033	51.9712135871	-5.3117464498	-0.080905491	0.0901993799	-0.2408955613	0.5025299911	-0.5789909222	0.2751653487	0	0	0	0	0	0	0	0	0	0
	11	-1370.866001011	-623.2152184797	-9.4476787847	0.4249868005	0.005926833	-0.012342165	0.0674616931	-0.2742329473	0.6519443149	-0.8155354094	0.3526227471	0	0	0	0	0	0	0	0	0
	12	1667.8277935113	184.4806252614	0.6972462369	-0.0053688395	-0.0000495554	0.0005802939	-0.0088999329	0.076957947	-0.3621204866	0.9260511626	-1.0135281099	0.4350721584	0	0	0	0	0	0	0	0
	13	-970.9375572895	-22.112587344	0.0318652829	-0.0023730278	-0.0000323772	0.0000596241	0.0001178471	-0.0085070906	0.0971530713	-0.5073678015	1.1266419711	-1.2542133188	0.516249365	0	0	0	0	0	0	0
	14	278.0305669064	0.474634604	0.0164594508	-0.0019765961	-0.0000282564	0.00003581	-0.0000249371	0.0001351877	-0.010720915	0.136034377	-0.6065238266	1.3908548551	-1.4804226112	0.5928867679	0	0	0	0	0	0
	15	-32.2798159513	0.112791011	0.0138971857	-0.0017594152	-0.0000252929	0.0000306416	-0.0000287884	0.0000445978	-0.0000234066	-0.0143029162	0.1572303916	-0.7431625187	1.6341226552	-1.7018248643	0.6621069669	0	0	0	0	0
	16	0.2943060949	0.0855242201	0.0124687005	-0.0015882504	-0.0000228508	0.0000275186	-0.0000267036	0.0000360293	-0.0000685806	0.0000229388	-0.0157737821	0.1914781463	-0.8718488445	1.8844990684	-1.9035213459	0.7229593619	0	0	0	0
	17	0.0112947811	0.0750912599	0.0111620439	-0.0014224863	-0.0000204682	0.000024632	-0.0000240383	0.0000318891	-0.0000645329	-0.0000051326	-0.0000528466	-0.0193561513	0.2252068503	-1.0081029864	2.1057723351	-2.0748001279	0.7751438892	0	0	0
	18	-0.004023537	0.0676537147	0.0100711951	-0.0012829053	-0.0000184595	0.0000222192	-0.0000217206	0.0000287631	-0.000058729	-0.0000062277	-0.0000619895	-0.000081205	-0.022445506	0.2600049425	-1.1255605087	2.2970482937	-2.2283233221	0.8190088426	0	0
	19	-0.0048951512	0.0582907267	0.0086758849	-0.0011048862	-0.0000158978	0.0000191386	-0.0000187193	0.0000247868	-0.0000507016	-0.0000055374	-0.0000543868	-0.0000586182	-0.0000704741	-0.0259150894	0.2867873528	-1.2110285113	2.4371238654	-2.3459063316	0.8546667479	0
	20	-0.0471399484	0.5273839901	0.0781731694	-0.0099399403	-0.0001430056	0.0001723324	-0.0001688956	0.000224216	-0.0004604587	-0.0000508025	-0.0005001684	-0.0005333479	-0.0007914346	-0.0015478387	-0.0255848002	0.2658209836	-0.9839444324	1.526897489	-0.8546667479	1
		Matrix [T*J*T(inv.)]
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	0.2818539855	-2.79385868215261E-16	1.26916657275255E-16-5.35080627072474E-16	-3.91580193246586E-16	-5.37534349113128E-16	-8.6201793621353E-16	-2.1948120598134E-16	-4.15017469290083E-16	-5.72394124311398E-16	-2.21659941931232E-16	-1.16340269168983E-19	-7.23401593586871E-17	-1.44582777989662E-16	-5.11640036298766E-17	-8.94096699428015E-17	3.59650014614909E-17	-3.16498411615504E-17	0	0
	2	0.1457233731	0.1476800419	-6.70165888166331E-16	-5.39535894484431E-16	-3.30580807523849E-16	-1.94293260508551E-16	-1.67007751935153E-16	-2.60616299846564E-16	-1.42590658333462E-16	-3.51396322589494E-16	-9.61165764882661E-17	-4.64225186155519E-17	-4.30228486216829E-17	-7.19675234847189E-17	-2.64526725662963E-17	-4.62263418704878E-17	1.85945262296018E-17	-1.63635139086905E-17	0	0
	3	0.0751896046	0.0929690395	0.078884923	-2.32234888303945E-16	-1.3211015075522E-16	-3.64513215163283E-17	-9.0227904569886E-17	-1.01006464722011E-16	-3.56533244834549E-17	-1.3802756246663E-16	-5.5770059752684E-17	-4.06851180874728E-17	-3.09128186237758E-17	-3.68172684660029E-17	-1.36489153971524E-17	-2.38516326744999E-17	9.59430903330835E-18	-8.44316264755824E-18	0	0
	4	0.0607760058	0.0832421354	0.0797686607	0.0557102432	-9.48229299265231E-17	1.25997921523394E-17	-5.08564035346064E-17	-4.80804570363538E-17	-1.60215952201961E-17	-9.87808509036655E-17	-4.51510012852883E-17	-3.7606542839117E-17	-2.69336463238019E-17	-2.96069025538705E-17	-1.10324634107732E-17	-1.9279353495262E-17	7.75511169068491E-18	-6.82463626375963E-18	0	0
	5	0.0501844895	0.0749949824	0.0827522435	0.0742583388	0.0541088142	1.78870235143415E-17	-3.57573681106411E-17	-2.03116275640056E-17	1.04604014091088E-18	-7.16526955849686E-17	-3.78118294328329E-17	-3.54235426447227E-17	-2.42067414597901E-17	-2.43292538770954E-17	-9.10982117038968E-18	-1.59195146254519E-17	6.40361794352768E-18	-5.63529772100558E-18	0	0
	6	0.0461991241	0.0733973831	0.08898815	0.093205345	0.0864633434	0.0688913997	-9.57755900694254E-18	3.17373954420221E-18	1.16253019760356E-17	-5.39911158177298E-17	-3.43860562122781E-17	-3.6106641324938E-17	-2.37614405340162E-17	-2.23149991716598E-17	-8.38637123165246E-18	-1.46552777469093E-17	5.89507920030809E-18	-5.18777457924664E-18	0	0
	7	0.0432940171	0.071494033	0.0922729149	0.1063399727	0.1133491146	0.1119053876	0.0991981224	1.38916054154019E-17	1.80250330279638E-17	-4.25334745875091E-17	-3.49676080170446E-17	-3.59890595476926E-17	-2.32796389820617E-17	-2.08606495608056E-17	-7.85901694943176E-18	-1.37337202265637E-17	5.52438308223273E-18	-4.86155540005815E-18	0	0
	8	0.038048741	0.0639055166	0.0854896345	0.1041614204	0.1198526176	0.1329110415	0.1402427797	0.1436325013	1.79261111906804E-17	-3.68239518440773E-17	-3.02595032129436E-17	-3.38547824868346E-17	-2.09500947194018E-17	-1.83130468325171E-17	-6.90685966515351E-18	-1.20698146976567E-17	4.85507779547766E-18	-4.27255483969548E-18	0	0
	9	0.0359317928	0.0599250796	0.0809398387	0.1008208001	0.1201136197	0.1406929719	0.1629893041	0.1836554334	0.2034613469	-6.87124681138208E-17	-4.01350843394733E-17	-2.58582170334684E-17	-1.97894602819748E-17	-1.73021595007545E-17	-6.52257718308606E-18	-1.13982767520376E-17	4.58495194436036E-18	-4.03483928475018E-18	0	0
	10	0.0286384473	0.046805947	0.0627855293	0.078219872	0.0940285645	0.1125858612	0.1363511811	0.1661667458	0.204048419	0.2751653487	-4.36632427806864E-17	-1.24888458550832E-17	-1.55596353196006E-17	-1.38082284019024E-17	-5.19864077410409E-18	-9.08468303477836E-18	3.65430986188622E-18	-3.21585769456193E-18	0	0
	11	0.0249846517	0.0395590356	0.0518510605	0.0631909621	0.0746531517	0.0884874427	0.1075121922	0.1340326752	0.1753308721	0.2295683355	0.3526227471	-1.56291683659297E-16	1.32541916734431E-16	8.31510501898981E-17	1.250871718605E-16	1.88225416867643E-16	-2.66730645112631E-17	2.10453240617729E-17	0	0
	12	0.0207193793	0.0317448877	0.0404025283	0.0475911996	0.0543032413	0.0622419394	0.0736260415	0.0906378516	0.1201584059	0.1642077749	0.23698073	0.4350721584	8.73015941267872E-17	5.3963921890027E-17	8.33519419060399E-17	1.25251051970736E-16	-1.74244093973274E-17	1.37024201248835E-17	0	0
	13	0.0175771111	0.0262038513	0.032436012	0.0368568146	0.0403200674	0.0440176394	0.0494333697	0.0580946611	0.0745334985	0.101020952	0.1498271201	0.2340152815	0.516249365	3.19365400550476E-17	5.18850683682821E-17	7.77674992438202E-17	-1.04449403818999E-17	8.16032675671362E-18	0	0
	14	0.0149599317	0.0218902158	0.026545303	0.0293093069	0.0308951218	0.0321226248	0.0339124436	0.0371879783	0.0443436967	0.0568509106	0.0819771614	0.1290368138	0.2197692663	0.5928867679	2.74188135017171E-17	4.08552880468089E-17	-5.03315992464231E-18	3.8649412986902E-18	0	0
	15	0.0128926745	0.018660983	0.0223474388	0.0242293213	0.0249087177	0.0249808638	0.0250335856	0.0256135169	0.0278262934	0.0324326356	0.0429539453	0.0641950012	0.1080793906	0.1986899729	0.6621069669	-3.54318990850404E-18	-1.99234294719325E-18	1.45760322247754E-18	0	0
	16	0.0112972551	0.0162578202	0.0193393925	0.0207649679	0.0210562217	0.0206813812	0.0200542244	0.0195254411	0.0195748221	0.0205600851	0.024002816	0.031955412	0.0497730321	0.0887319512	0.1749473099	0.7229593619	-5.91082844963823E-19	3.54928560209035E-19	0	0
	17	0.009911251	0.0142228213	0.0168635645	0.0180238792	0.0181596027	0.0176593178	0.01684305	0.0159629038	0.0152303186	0.0148145668	0.0153395799	0.0175522008	0.0235568136	0.037833739	0.0710561664	0.149762863	0.7751438892	5.78350103914909E-17	0	0
	18	0.0087949741	0.012602704	0.01491889	0.0159128404	0.015989115	0.0154839805	0.014664561	0.0137328045	0.012796229	0.0119469221	0.0114570004	0.0115548835	0.0130142663	0.0174398264	0.0287260156	0.0567128353	0.1260995541	0.8190088426	0	0
	19	0.0075104022	0.0107548901	0.01272255	0.0135588473	0.0136095454	0.013158916	0.0124293004	0.0115857603	0.0106935473	0.0098114306	0.0090763668	0.0085325739	0.0084555843	0.0093622094	0.0125272223	0.0211910985	0.0435847858	0.1021357784	0.8546667479	0
	20	0.0655127886	0.0936886326	0.1106913657	0.1178458685	0.1181891414	0.1141792323	0.1077098444	0.1001717268	0.0920025505	0.083621038	0.0757625331	0.068085675	0.0611022819	0.0550555333	0.0506363189	0.0493738414	0.055171771	0.0788553789	0.1453332521	1
		Matrix [T*J*T(inv.)] (inverse)
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
	1	3.5479363481	0	-0	0	-0	-0	0	-0	-2.41591553883466E-16	0	0	-3.31702964606041E-16	1.04285140375278E-16	7.4797128645101E-16	1.6494938996775E-16	4.66745354192787E-16	-1.86920951223501E-16	1.37106727090208E-16	-1.73933563980603E-30	0
	2	-3.5009283947	6.7713956935	0	0	0	0	-0	0	-0	0	-8.44391706083157E-16	6.84064925372805E-16	8.72747205199573E-17	-3.17992832375391E-17	-1.50738107309456E-30	-4.07270058650974E-30	3.09206895565299E-30	-2.26746497572308E-30	9.98935674817528E-31	0
	3	0.7442489254	-7.9803608861	12.6766936218	6.26868578210179E-16	0	-0	0	-0	7.52242293852215E-16	-0	-2.50747431284072E-16	3.76121146926108E-16	1.25373715642036E-16	0	0	0	0	0	0	0
	4	0.2948760286	1.3088663548	-18.1511121604	17.9500203677	0	-0	3.30487940587914E-16	-0	-3.30487940587914E-16	1.65243970293957E-16	-1.65243970293957E-16	2.47865955440936E-16	0	8.26219851469785E-17	0	0	1.65243970293957E-16	0	-1.65243970293957E-16	0
	5	0.0187661935	1.0234529479	5.5230668665	-24.6344096317	18.4812772999	0	0	2.48383059527072E-16	-4.96766119054145E-16	-3.72574589290608E-16	3.72574589290608E-16	-3.72574589290608E-16	0	0	3.72574589290608E-16	-6.20957648817681E-17	-6.20957648817681E-17	0	0	0
	6	-0.0332191541	0.0387613551	1.2506979137	6.6326940636	-23.1952468841	14.5155999727	-0	2.65486648743315E-16	7.96459946229945E-16	-7.96459946229945E-16	-1.32743324371658E-16	2.65486648743315E-16	-1.32743324371658E-16	-6.63716621858288E-17	-1.32743324371658E-16	0	1.32743324371658E-16	0	5.3097329748663E-16	0
	7	-0.0176392701	-0.0733192143	-0.0556590659	1.4239144985	5.0488523605	-16.3750462403	10.0808359649	-0	0	-4.27087587665758E-16	2.13543793832879E-16	-3.20315690749318E-16	3.20315690749318E-16	-1.0677189691644E-16	-1.0677189691644E-16	-5.33859484582198E-17	-2.13543793832879E-16	2.13543793832879E-16	-8.54175175331516E-16	0
	8	-0.0067279549	-0.0303386744	-0.0937119442	0.0107695356	1.1126302957	2.5565139375	-9.8429286158