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JSBSim flight dynamics model ported to JavaScript
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JSBSim Flight Dynamics Model v1.0 Jul 25 2011 22:28:55
[JSBSim-ML v2.0]
JSBSim startup beginning ...
Reading Aircraft Configuration File: Cessna C-172 Skyhawk
Version: 2.0
This aircraft model is a BETA release!!!
This aircraft model probably will not fly as expected.
Use this model for development purposes ONLY!!!
Description: Models a 1997 Cessna 172R.
Model Author: Tony Peden
Creation Date: 1999-01-01
Version: $Revision: 1.1 $
Aircraft Metrics:
WingArea: 174.000000
WingSpan: 35.800000
Incidence: 0.000000
Chord: 4.900000
H. Tail Area: 21.900000
H. Tail Arm: 15.700000
V. Tail Area: 16.500000
V. Tail Arm: 15.700000
Eyepoint (x, y, z): 37.000000 , 0.000000 , 48.000000
Ref Pt (x, y, z): 43.200000 , 0.000000 , 59.400000
Visual Ref Pt (x, y, z): 42.600000 , 0.000000 , 38.500000
Mass and Balance:
baseIxx: 948.000000 slug-ft2
baseIyy: 1346.000000 slug-ft2
baseIzz: 1967.000000 slug-ft2
baseIxy: -0.000000 slug-ft2
baseIxz: 0.000000 slug-ft2
baseIyz: -0.000000 slug-ft2
Empty Weight: 1620.000000 lbm
CG (x, y, z): 41.000000 , 0.000000 , 36.500000
Point Mass Object: 170.000000 lbs. at X, Y, Z (in.): 36.000000 -14.000000 24.000000
Point Mass Object: 110.000000 lbs. at X, Y, Z (in.): 36.000000 14.000000 24.000000
Point Mass Object: 80.000000 lbs. at X, Y, Z (in.): 95.000000 0.000000 24.000000
Ground Reactions:
BOGEY Nose Gear
Location: -6.800000 , 0.000000 , -20.000000
Spring Constant: 1800.000000
Damping Constant: 500.000000 (linear)
Rebound Damping Constant: 2000.000000 (linear)
Dynamic Friction: 0.500000
Static Friction: 0.800000
Rolling Friction: 0.021000
Steering Type: STEERABLE
Grouping: NONE
Max Steer Angle: 10.000000
Retractable: 0
BOGEY Left Main Gear
Location: 58.200000 , -43.000000 , -18.460000
Spring Constant: 5400.000000
Damping Constant: 160.000000 (linear)
Rebound Damping Constant: 320.000000 (linear)
Dynamic Friction: 0.500000
Static Friction: 0.800000
Rolling Friction: 0.021000
Steering Type: FIXED
Grouping: LEFT
Max Steer Angle: 0.000000
Retractable: 0
BOGEY Right Main Gear
Location: 58.200000 , 43.000000 , -18.460000
Spring Constant: 5400.000000
Damping Constant: 160.000000 (linear)
Rebound Damping Constant: 320.000000 (linear)
Dynamic Friction: 0.500000
Static Friction: 0.800000
Rolling Friction: 0.021000
Steering Type: FIXED
Grouping: RIGHT
Max Steer Angle: 0.000000
Retractable: 0
STRUCTURE TAIL_SKID
Location: 188.000000 , 0.000000 , 8.000000
Spring Constant: 20000.000000
Damping Constant: 1000.000000 (linear)
Rebound Damping Constant: 1000.000000 (linear)
Dynamic Friction: 0.200000
Static Friction: 0.200000
STRUCTURE LEFT_TIP
Location: 43.200000 , -214.800000 , 59.400000
Spring Constant: 10000.000000
Damping Constant: 2000.000000 (linear)
Rebound Damping Constant: 2000.000000 (linear)
Dynamic Friction: 0.200000
Static Friction: 0.200000
STRUCTURE RIGHT_TIP
Location: 43.200000 , 214.800000 , 59.400000
Spring Constant: 10000.000000
Damping Constant: 2000.000000 (linear)
Rebound Damping Constant: 2000.000000 (linear)
Dynamic Friction: 0.200000
Static Friction: 0.200000
Propulsion:
FUEL tank holds 168.000000 lbs. FUEL
currently at 59.523810% of maximum capacity
Tank location (X, Y, Z): 48.000000, -112.000000, 59.400000
Effective radius: 29.400000 inches
Initial temperature: -9999.000000 Fahrenheit
Priority: 1
FUEL tank holds 168.000000 lbs. FUEL
currently at 59.523810% of maximum capacity
Tank location (X, Y, Z): 48.000000, 112.000000, 59.400000
Effective radius: 29.400000 inches
Initial temperature: -9999.000000 Fahrenheit
Priority: 1
1 dimensional table with 7 rows.
0.0000 0.1080
0.2000 0.1040
0.4000 0.1000
0.6000 0.0800
0.8000 0.0520
1.0000 0.0200
1.1100 0.0000
1 dimensional table with 7 rows.
0.0000 0.0800
0.2000 0.0750
0.4000 0.0690
0.6000 0.0610
0.8000 0.0500
1.0000 0.0220
1.1100 0.0000
Propeller Name: Simulated Clark Y Airfoil McCauley 7570 Propeller
IXX = 1.8000
Diameter = 6.2500 ft.
Number of Blades = 2
Gear Ratio = 1.0000
Minimum Pitch = 21.6000
Maximum Pitch = 21.6000
Minimum RPM = 0.0000
Maximum RPM = 0.0000
X = -37.7000
Y = 0.0000
Z = 26.6000
Pitch = 0.0000 degrees
Yaw = 0.0000 degrees
Engine Name: IO320
MinManifoldPressure: 6.5000
MaxManifoldPressure: 28.5000
MinMaP (Pa): 22011.4700
MaxMaP (Pa): 96511.8300
Displacement: 320.0000
Bore: 5.1250
Stroke: 4.3750
Cylinders: 4.0000
Cylinders Head Mass: 2.0000
Compression Ratio: 8.5000
MaxHP: 160.0000
Cycles: 4.0000
IdleRPM: 550.0000
MaxRPM: 2700.0000
Throttle Constant: 53.7541
ISFC: 0.4180
Volumetric Efficiency: 0.8500
PeakMeanPistonSpeed_fps: 100.0000
Intake Impedance Factor: 0.1519
Dynamic FMEP Factor: 18400.0000
Static FMEP Factor: 46500.0000
Combustion Efficiency table:
1 dimensional table with 12 rows.
0.0000 0.9800
0.9000 0.9800
1.0000 0.9700
1.0500 0.9500
1.1000 0.9000
1.1500 0.8500
1.2000 0.7900
1.3000 0.7000
1.4000 0.6300
1.5000 0.5700
1.6000 0.5250
2.0000 0.3450
Mixture Efficiency Correlation table:
1 dimensional table with 15 rows.
0.0500 0.0000
0.0514 0.0086
0.0518 0.2155
0.0543 0.4828
0.0584 0.7069
0.0631 0.8362
0.0694 0.9310
0.0779 1.0000
0.0885 1.0000
0.0927 0.9828
0.1012 0.9310
0.1145 0.7241
0.1216 0.4569
0.1244 0.2328
0.1250 0.0000
System: Navigation
Channel Heading
Loading Component "navigation/actual-heading-rad" of type: SENSOR
INPUT: heading-true-rad
Bias: 0.0030
System: Mixture control
Channel Automatic Mixture Control
Loading Component "systems/mixture-pos-norm" of type: FCS_FUNCTION
1 dimensional table with 2 rows.
0.0000 0.0000
2117.0000 1.0000
Function:
OUTPUT: mixture-cmd-norm
System: GNC Utilities
Declared properties
guidance/target_wp_latitude_rad (initial value: 0.0000)
guidance/target_wp_longitude_rad (initial value: 0.0000)
guidance/specified-heading-rad (initial value: 0.0000)
guidance/heading-selector-switch (initial value: 0.0000)
Channel Guidance Waypoint Heading Director
Loading Component "guidance/delta-lat-rad" of type: FCS_FUNCTION
Function:
Loading Component "guidance/delta-lon-rad" of type: FCS_FUNCTION
Function:
Loading Component "guidance/heading-to-waypoint-rad" of type: FCS_FUNCTION
Function:
Loading Component "guidance/wp-distance-a" of type: FCS_FUNCTION
Function:
Loading Component "guidance/wp-distance" of type: FCS_FUNCTION
Function:
Loading Component "guidance/heading-to-waypoint-positive" of type: SUMMER
INPUTS:
guidance/heading-to-waypoint-rad
Bias: 6.2830
Loading Component "guidance/wp-heading-rad" of type: SWITCH
Switch VALUE is heading-to-waypoint-positive by default.
Switch VALUE is heading-to-waypoint-rad if
heading-to-waypoint-rad gt 0.0000
Loading Component "guidance/wp-heading-deg" of type: PURE_GAIN
INPUT: wp-heading-rad
GAIN: 57.3000
Channel Included Angle to Heading
Loading Component "guidance/selected_target_heading" of type: SWITCH
Switch VALUE is wp-heading-rad by default.
Switch VALUE is specified-heading-rad if
heading-selector-switch eq 1.0000
Loading Component "guidance/x1" of type: FCS_FUNCTION
Function:
Loading Component "guidance/y1" of type: FCS_FUNCTION
Function:
Loading Component "guidance/x2" of type: FCS_FUNCTION
Function:
Loading Component "guidance/y2" of type: FCS_FUNCTION
Function:
Loading Component "guidance/angle-to-heading-rad" of type: FCS_FUNCTION
Function:
Loading Component "guidance/x1y2" of type: FCS_FUNCTION
Function:
Loading Component "guidance/x2y1" of type: FCS_FUNCTION
Function:
Loading Component "guidance/angle-to-heading-sense" of type: SWITCH
Switch VALUE is -1.0000 by default.
Switch VALUE is 1.0000 if
x1y2 gt x2y1
System: Autopilot
Declared properties
ap/roll-attitude-mode (initial value: 0.0000)
ap/autopilot-roll-on (initial value: 0.0000)
guidance/roll-angle-limit (initial value: 0.5240)
guidance/roll-rate-limit (initial value: 0.1740)
ap/roll-angle-saturation (initial value: 0.0000)
Overriding properties
Overriding value for property guidance/roll-angle-limit (old value: 0.5240 new value: 0.5230)
Overriding value for property guidance/roll-rate-limit (old value: 0.1740 new value: 0.1740)
Channel Heading Hold
Loading Component "ap/roll-control-autopilot-on" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is 1.0000 if
autopilot-roll-on ne 0.0000
Loading Component "ap/roll-autopilot-windup-trigger" of type: SWITCH
Switch VALUE is 1.0000 by default.
Switch VALUE is 1.0000 if
roll-angle-saturation ne 0.0000
Switch VALUE is 0.0000 if
roll-control-autopilot-on gt 0.0000
Loading Component "ap/limited-roll-angle-rad" of type: PURE_GAIN
Minimum limit: -roll-angle-limit
Maximum limit: roll-angle-limit
INPUT: angle-to-heading-rad
GAIN: angle-to-heading-sense
Loading Component "ap/roll-attitude-selector" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is limited-roll-angle-rad if
roll-attitude-mode eq 1.0000
Loading Component "ap/limited-roll-angle-error" of type: SUMMER
INPUTS:
ap/roll-attitude-selector
-attitude/phi-rad
Loading Component "ap/roll-rate-pid-control" of type: PID
Minimum limit: -roll-rate-limit
Maximum limit: roll-rate-limit
INPUT: limited-roll-angle-error
Loading Component "ap/total-limited-roll-rate" of type: PURE_GAIN
INPUT: roll-rate-limit
GAIN: 2.0000
Loading Component "ap/roll-rate-saturation" of type: DEADBAND
INPUT: roll-rate-pid-control
DEADBAND WIDTH: total-limited-roll-rate
GAIN: 1.0000
Loading Component "ap/limited-roll-rate-error" of type: SUMMER
INPUTS:
ap/roll-rate-pid-control
-velocities/p-aero-rad_sec
Loading Component "ap/roll-command-pid-control" of type: PID
INPUT: limited-roll-rate-error
Loading Component "ap/roll-cmd-smoother" of type: LAG_FILTER
INPUT: roll-command-pid-control
C[1]: 100.0000
Loading Component "ap/roll-cmd-norm-output" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is roll-cmd-smoother if
roll-control-autopilot-on ne 0.0000
Loading Component "ap/roll-command-selector-steering" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is roll-cmd-norm-output if
roll-control-autopilot-on == 1.0000
AND WOW == 1.0000
OUTPUT: steer-cmd-norm
Autopilot: C-172X Autopilot
Declared properties
ap/attitude_hold (initial value: 0.0000)
ap/altitude_hold (initial value: 0.0000)
ap/heading_hold (initial value: 0.0000)
ap/altitude_setpoint (initial value: 0.0000)
ap/heading_setpoint (initial value: 0.0000)
ap/aileron_cmd (initial value: 0.0000)
ap/elevator_cmd (initial value: 0.0000)
ap/airspeed_setpoint (initial value: 0.0000)
ap/airspeed_hold (initial value: 0.0000)
ap/throttle-cmd-norm (initial value: 0.0000)
ap/hdg-roll-err-c1 (initial value: 0.5000)
ap/roll-pid-kp (initial value: 50.0000)
ap/roll-pid-ki (initial value: 5.0000)
ap/roll-pid-kd (initial value: 17.0000)
Channel Roll wing leveler
Loading Component "fcs/attitude/sensor/phi-rad" of type: SENSOR
Frame delay: 240 frames (2.0000 sec)
INPUT: phi-rad
Quantized output (property: attitude/sensor/quantized/phi-rad)
Bits: 12
Min value: -3.1416
Max value: 3.1416
(span: 6.2832, granularity: 0.0015)
Bias: 0.0010
Sensor lag: 0.5000
Noise variance (percent): 0.0500
Random noise is gaussian distributed.
Loading Component "fcs/wing-leveler-ap-on-off" of type: SWITCH
Switch VALUE is -1.0000 by default.
Switch VALUE is 0.0000 if
attitude_hold == 1.0000
Loading Component "fcs/roll-ap-error-pid" of type: PID
INPUT: phi-rad
Loading Component "fcs/roll-ap-autoswitch" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is - roll-ap-error-pid if
attitude_hold == 1.0000
Channel Roll heading hold
Loading Component "fcs/heading-true-degrees" of type: PURE_GAIN
INPUT: heading-true-rad
GAIN: 57.3000
Loading Component "fcs/heading-error" of type: SUMMER
INPUTS:
-fcs/heading-true-degrees
ap/heading_setpoint
Loading Component "fcs/heading-error-bias-switch" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is 360.0000 if
heading-error lt -180.0000
Switch VALUE is -360.0000 if
heading-error gt 180.0000
Loading Component "fcs/heading-corrected" of type: SUMMER
Minimum limit: -30.0000
Maximum limit: 30.0000
INPUTS:
fcs/heading-error-bias-switch
fcs/heading-error
Loading Component "fcs/heading-command" of type: PURE_GAIN
INPUT: heading-corrected
GAIN: 0.0175
Loading Component "fcs/heading-roll-error-lag" of type: LAG_FILTER
INPUT: heading-command
C[1] is the value of property: hdg-roll-err-c1
Loading Component "fcs/heading-roll-error" of type: SUMMER
INPUTS:
fcs/heading-roll-error-lag
-attitude/phi-rad
Loading Component "fcs/heading-roll-error-switch" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is heading-roll-error if
heading_hold == 1.0000
Loading Component "fcs/heading-pi-controller" of type: PID
INPUT: heading-roll-error-switch
Loading Component "fcs/roll-command-selector" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is heading-pi-controller if
heading_hold == 1.0000
AND WOW == 0.0000
Switch VALUE is roll-ap-autoswitch if
attitude_hold == 1.0000
AND WOW == 0.0000
OUTPUT: aileron_cmd
Channel Pitch altitude hold
Loading Component "fcs/altitude-error" of type: SUMMER
Minimum limit: -100.0000
Maximum limit: 100.0000
INPUTS:
ap/altitude_setpoint
-position/h-agl-ft
Loading Component "fcs/alt-error-lag" of type: LAG_FILTER
INPUT: altitude-error
C[1]: 1.0000
Loading Component "fcs/hdot-command" of type: SCHEDULED_GAIN
1 dimensional table with 13 rows.
0.0000 0.1200
1000.0000 0.1100
2000.0000 0.1000
3000.0000 0.0960
4000.0000 0.0930
5000.0000 0.0860
6000.0000 0.0780
7000.0000 0.0690
8000.0000 0.0610
9000.0000 0.0530
10000.0000 0.0450
11000.0000 0.0370
12000.0000 0.0280
INPUT: alt-error-lag
GAIN: 1.0000
Scheduled by table:
1 dimensional table with 13 rows.
0.0000 0.1200
1000.0000 0.1100
2000.0000 0.1000
3000.0000 0.0960
4000.0000 0.0930
5000.0000 0.0860
6000.0000 0.0780
7000.0000 0.0690
8000.0000 0.0610
9000.0000 0.0530
10000.0000 0.0450
11000.0000 0.0370
12000.0000 0.0280
Loading Component "fcs/hdot-error" of type: SUMMER
INPUTS:
fcs/hdot-command
-velocities/h-dot-fps
Loading Component "fcs/ap-alt-hold-switch" of type: SWITCH
Switch VALUE is 0.0000 by default.
Switch VALUE is hdot-error if
altitude_hold == 1.0000
Loading Component "fcs/windup-trigger" of type: DEADBAND
INPUT: elevator-pos-deg
DEADBAND WIDTH: 46.0000
GAIN: 1.0000
Loading Component "fcs/altitude-hold-pid" of type: PID
Minimum limit: -1.0000
Maximum limit: 1.0000
INPUT: ap-alt-hold-switch
Loading Component "fcs/elevator" of type: PURE_GAIN
INPUT: altitude-hold-pid
GAIN: -1.0000
OUTPUT: elevator_cmd
FCS: c172
Channel Pitch
Loading Component "fcs/pitch-trim-sum" of type: SUMMER
Minimum limit: -1.0000
Maximum limit: 1.0000
INPUTS:
ap/elevator_cmd
fcs/elevator-cmd-norm
fcs/pitch-trim-cmd-norm
Loading Component "fcs/elevator-control" of type: AEROSURFACE_SCALE
INPUT: pitch-trim-sum
GAIN: 0.0175
In/Out Mapping:
Input MIN: -1.0000
Input MAX: 1.0000
Output MIN: -28.0000
Output MAX: 23.0000
Loading Component "fcs/elevator-actuator" of type: ACTUATOR
Minimum limit: -0.3400
Maximum limit: 0.3400
INPUT: fcs/elevator-control
OUTPUT: elevator-pos-rad
Bias: 0.0020
Actuator lag: 60.0000
Hysteresis width: 0.0500
Channel Roll
Loading Component "fcs/roll-trim-sum" of type: SUMMER
Minimum limit: -1.0000
Maximum limit: 1.0000
INPUTS:
ap/roll-cmd-norm-output
fcs/aileron-cmd-norm
fcs/roll-trim-cmd-norm
Loading Component "fcs/left-aileron-control" of type: AEROSURFACE_SCALE
INPUT: roll-trim-sum
GAIN: 0.0175
In/Out Mapping:
Input MIN: -1.0000
Input MAX: 1.0000
Output MIN: -20.0000
Output MAX: 15.0000
Loading Component "fcs/left-aileron-actuator" of type: ACTUATOR
Minimum limit: -0.3500
Maximum limit: 0.2600
INPUT: fcs/left-aileron-control
OUTPUT: left-aileron-pos-rad
Rate limit: 1.5700
Loading Component "fcs/right-aileron-control" of type: AEROSURFACE_SCALE
INPUT: -roll-trim-sum
GAIN: 0.0175
In/Out Mapping:
Input MIN: -1.0000
Input MAX: 1.0000
Output MIN: -20.0000
Output MAX: 15.0000
Loading Component "fcs/right-aileron-actuator" of type: ACTUATOR
Minimum limit: -0.3500
Maximum limit: 0.2600
INPUT: fcs/right-aileron-control
OUTPUT: right-aileron-pos-rad
Rate limit: 1.5700
Loading Component "fcs/effective-aileron-pos" of type: SUMMER
INPUTS:
fcs/left-aileron-pos-rad
-fcs/right-aileron-pos-rad
Channel Yaw
Loading Component "fcs/yaw-trim-sum" of type: SUMMER
Minimum limit: -1.0000
Maximum limit: 1.0000
INPUTS:
fcs/rudder-cmd-norm
fcs/yaw-trim-cmd-norm
Loading Component "fcs/rudder-control" of type: AEROSURFACE_SCALE
INPUT: yaw-trim-sum
GAIN: 0.0175
OUTPUT: rudder-pos-rad
In/Out Mapping:
Input MIN: -1.0000
Input MAX: 1.0000
Output MIN: -16.0000
Output MAX: 16.0000
Channel Flaps
Loading Component "fcs/flaps-control" of type: KINEMATIC
INPUT: flap-cmd-norm
DETENTS: 4
0.0000 0.0000
10.0000 2.0000
20.0000 1.0000
30.0000 1.0000
OUTPUT: flap-pos-deg
Loading Component "fcs/flap-position-normalizer" of type: AEROSURFACE_SCALE
INPUT: flap-pos-deg
GAIN: 1.0000
OUTPUT: flap-pos-norm
In/Out Mapping:
Input MIN: 0.0000
Input MAX: 30.0000
Output MIN: 0.0000
Output MAX: 1.0000
Function: aero/angle/right_wing_tip_alpha
1 dimensional table with 13 rows.
0.0000 1.2030
0.1000 1.1270
0.1500 1.0900
0.2000 1.0730
0.3000 1.0460
0.4000 1.0550
0.5000 1.0190
0.6000 1.0130
0.7000 1.0080
0.8000 1.0060
0.9000 1.0030
1.0000 1.0020
1.1000 1.0000
Function: aero/function/ground-effect-factor-lift
1 dimensional table with 13 rows.
0.0000 0.4800
0.1000 0.5150
0.1500 0.6290
0.2000 0.7090
0.3000 0.8150
0.4000 0.8820
0.5000 0.9280
0.6000 0.9620
0.7000 0.9880
0.8000 1.0000
0.9000 1.0000
1.0000 1.0000
1.1000 1.0000
Function: aero/function/ground-effect-factor-drag
Aerodynamics (Lift|Side|Drag axes):
2 dimensional table with 17 rows, 2 columns.
0.0000 1.0000
-0.0900 -0.2200 -0.2200
0.0000 0.2500 0.2500
0.0900 0.7300 0.7300
0.1000 0.8300 0.7800
0.1200 0.9200 0.7900
0.1400 1.0200 0.8100
0.1600 1.0800 0.8200
0.1700 1.1300 0.8300
0.1900 1.1900 0.8500
0.2100 1.2500 0.8600
0.2400 1.3500 0.8800
0.2600 1.4400 0.9000
0.2800 1.4700 0.9200
0.3000 1.4300 0.9500
0.3200 1.3800 0.9900
0.3400 1.3000 1.0500
0.3600 1.1500 1.1500
Function: aero/coefficient/CLwbh
1 dimensional table with 4 rows.
0.0000 0.0000
10.0000 0.2000
20.0000 0.3000
30.0000 0.3500
Function: aero/coefficient/CLDf
Function: aero/coefficient/CLDe
Function: aero/coefficient/CLadot
Function: aero/coefficient/CLq
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5792 4.6831 4.6957 4.7054 4.7125 4.7167 4.7181 4.7167 4.7125 4.7055 4.6957 4.6832 4.5794
-9.0000 4.5886 4.6926 4.7052 4.7150 4.7221 4.7263 4.7277 4.7263 4.7221 4.7151 4.7053 4.6927 4.5887
-8.0000 4.5947 4.6989 4.7115 4.7214 4.7284 4.7326 4.7340 4.7326 4.7284 4.7214 4.7116 4.6990 4.5949
-7.0000 4.5977 4.7019 4.7146 4.7244 4.7314 4.7357 4.7371 4.7357 4.7315 4.7244 4.7146 4.7020 4.5979
-6.0000 4.5975 4.7017 4.7143 4.7241 4.7312 4.7354 4.7368 4.7354 4.7312 4.7242 4.7144 4.7018 4.5976
-5.0000 4.5940 4.6981 4.7107 4.7206 4.7276 4.7318 4.7332 4.7318 4.7276 4.7206 4.7108 4.6982 4.5942
-4.0000 4.5874 4.6913 4.7039 4.7137 4.7207 4.7249 4.7263 4.7249 4.7207 4.7137 4.7039 4.6914 4.5875
-3.0000 4.5775 4.6812 4.6937 4.7035 4.7105 4.7147 4.7161 4.7147 4.7105 4.7036 4.6938 4.6813 4.5777
-2.0000 4.5644 4.6678 4.6803 4.6900 4.6970 4.7012 4.7026 4.7012 4.6970 4.6901 4.6803 4.6679 4.5646
-1.0000 4.5481 4.6511 4.6636 4.6733 4.6802 4.6844 4.6858 4.6844 4.6803 4.6733 4.6636 4.6512 4.5483
0.0000 4.5287 4.6312 4.6436 4.6533 4.6602 4.6644 4.6657 4.6644 4.6602 4.6533 4.6437 4.6313 4.5289
1.0000 4.5061 4.6081 4.6204 4.6301 4.6369 4.6411 4.6425 4.6411 4.6370 4.6301 4.6205 4.6082 4.5063
2.0000 4.4805 4.5818 4.5941 4.6036 4.6105 4.6146 4.6160 4.6146 4.6105 4.6037 4.5942 4.5819 4.4806
3.0000 4.4517 4.5524 4.5646 4.5741 4.5809 4.5850 4.5863 4.5850 4.5809 4.5741 4.5647 4.5525 4.4519
4.0000 4.4200 4.5199 4.5320 4.5414 4.5482 4.5522 4.5536 4.5522 4.5482 4.5415 4.5321 4.5200 4.4202
5.0000 4.3853 4.4844 4.4964 4.5057 4.5124 4.5164 4.5178 4.5164 4.5124 4.5058 4.4964 4.4845 4.3855
6.0000 4.3476 4.4459 4.4578 4.4670 4.4736 4.4776 4.4790 4.4777 4.4737 4.4671 4.4578 4.4460 4.3478
7.0000 4.3072 4.4044 4.4162 4.4254 4.4320 4.4359 4.4372 4.4359 4.4320 4.4254 4.4163 4.4045 4.3074
8.0000 4.2639 4.3602 4.3718 4.3809 4.3874 4.3913 4.3926 4.3913 4.3874 4.3810 4.3719 4.3603 4.2641
9.0000 4.2180 4.3131 4.3247 4.3336 4.3401 4.3439 4.3452 4.3439 4.3401 4.3337 4.3247 4.3132 4.2181
10.0000 4.1694 4.2634 4.2748 4.2837 4.2900 4.2938 4.2951 4.2938 4.2900 4.2837 4.2749 4.2635 4.1695
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5893 4.6934 4.7060 4.7158 4.7228 4.7270 4.7284 4.7270 4.7228 4.7158 4.7060 4.6934 4.5894
-9.0000 4.5968 4.7011 4.7137 4.7235 4.7306 4.7348 4.7362 4.7348 4.7306 4.7236 4.7137 4.7011 4.5970
-8.0000 4.6012 4.7055 4.7181 4.7280 4.7350 4.7393 4.7407 4.7393 4.7351 4.7280 4.7182 4.7056 4.6013
-7.0000 4.6024 4.7067 4.7193 4.7292 4.7362 4.7404 4.7418 4.7404 4.7362 4.7292 4.7194 4.7068 4.6025
-6.0000 4.6003 4.7046 4.7172 4.7270 4.7341 4.7383 4.7397 4.7383 4.7341 4.7271 4.7173 4.7047 4.6005
-5.0000 4.5951 4.6992 4.7118 4.7216 4.7286 4.7329 4.7343 4.7329 4.7287 4.7217 4.7119 4.6993 4.5952
-4.0000 4.5866 4.6905 4.7031 4.7129 4.7199 4.7241 4.7255 4.7241 4.7199 4.7129 4.7032 4.6906 4.5868
-3.0000 4.5749 4.6786 4.6911 4.7009 4.7079 4.7121 4.7135 4.7121 4.7079 4.7009 4.6912 4.6786 4.5751
-2.0000 4.5601 4.6633 4.6758 4.6856 4.6926 4.6967 4.6981 4.6968 4.6926 4.6856 4.6759 4.6634 4.5603
-1.0000 4.5421 4.6449 4.6573 4.6670 4.6740 4.6782 4.6796 4.6782 4.6740 4.6671 4.6574 4.6450 4.5422
0.0000 4.5209 4.6232 4.6356 4.6453 4.6522 4.6563 4.6577 4.6564 4.6522 4.6453 4.6357 4.6233 4.5211
1.0000 4.4967 4.5984 4.6107 4.6203 4.6272 4.6313 4.6327 4.6313 4.6272 4.6204 4.6108 4.5985 4.4968
2.0000 4.4693 4.5704 4.5827 4.5922 4.5990 4.6031 4.6045 4.6031 4.5991 4.5923 4.5827 4.5705 4.4695
3.0000 4.4390 4.5394 4.5515 4.5610 4.5677 4.5718 4.5732 4.5718 4.5678 4.5610 4.5516 4.5394 4.4392
4.0000 4.4056 4.5052 4.5173 4.5267 4.5334 4.5374 4.5388 4.5375 4.5334 4.5267 4.5174 4.5053 4.4058
5.0000 4.3694 4.4681 4.4801 4.4894 4.4961 4.5001 4.5014 4.5001 4.4961 4.4894 4.4802 4.4682 4.3696
6.0000 4.3303 4.4281 4.4399 4.4491 4.4558 4.4597 4.4610 4.4597 4.4558 4.4492 4.4400 4.4282 4.3305
7.0000 4.2883 4.3852 4.3969 4.4060 4.4126 4.4165 4.4178 4.4165 4.4126 4.4061 4.3970 4.3853 4.2885
8.0000 4.2437 4.3395 4.3511 4.3601 4.3666 4.3705 4.3718 4.3705 4.3666 4.3602 4.3511 4.3396 4.2439
9.0000 4.1964 4.2911 4.3025 4.3114 4.3178 4.3217 4.3230 4.3217 4.3179 4.3115 4.3026 4.2912 4.1966
10.0000 4.1465 4.2400 4.2513 4.2601 4.2665 4.2702 4.2715 4.2703 4.2665 4.2602 4.2514 4.2401 4.1467
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.6003 4.7047 4.7173 4.7272 4.7342 4.7384 4.7399 4.7385 4.7342 4.7272 4.7174 4.7048 4.6005
-9.0000 4.6043 4.7087 4.7213 4.7312 4.7382 4.7425 4.7439 4.7425 4.7383 4.7312 4.7214 4.7088 4.6044
-8.0000 4.6050 4.7095 4.7221 4.7319 4.7390 4.7432 4.7446 4.7432 4.7390 4.7320 4.7222 4.7095 4.6052
-7.0000 4.6026 4.7069 4.7196 4.7294 4.7364 4.7407 4.7421 4.7407 4.7365 4.7295 4.7196 4.7070 4.6028
-6.0000 4.5970 4.7011 4.7138 4.7236 4.7306 4.7348 4.7363 4.7349 4.7307 4.7236 4.7138 4.7012 4.5971
-5.0000 4.5881 4.6921 4.7047 4.7145 4.7215 4.7257 4.7271 4.7257 4.7215 4.7145 4.7047 4.6922 4.5883
-4.0000 4.5761 4.6798 4.6923 4.7021 4.7091 4.7133 4.7147 4.7133 4.7091 4.7022 4.6924 4.6799 4.5763
-3.0000 4.5610 4.6642 4.6767 4.6865 4.6935 4.6977 4.6991 4.6977 4.6935 4.6865 4.6768 4.6643 4.5611
-2.0000 4.5426 4.6455 4.6579 4.6676 4.6746 4.6787 4.6801 4.6788 4.6746 4.6677 4.6580 4.6456 4.5428
-1.0000 4.5212 4.6235 4.6359 4.6456 4.6525 4.6566 4.6580 4.6567 4.6525 4.6456 4.6360 4.6236 4.5214
0.0000 4.4967 4.5984 4.6108 4.6204 4.6272 4.6313 4.6327 4.6314 4.6273 4.6204 4.6108 4.5985 4.4969
1.0000 4.4691 4.5702 4.5825 4.5920 4.5988 4.6029 4.6043 4.6029 4.5989 4.5920 4.5825 4.5703 4.4693
2.0000 4.4386 4.5389 4.5511 4.5606 4.5673 4.5714 4.5728 4.5714 4.5674 4.5606 4.5512 4.5390 4.4387
3.0000 4.4051 4.5046 4.5167 4.5261 4.5328 4.5368 4.5382 4.5369 4.5328 4.5261 4.5168 4.5047 4.4052
4.0000 4.3687 4.4674 4.4793 4.4886 4.4953 4.4993 4.5007 4.4993 4.4953 4.4887 4.4794 4.4675 4.3688
5.0000 4.3294 4.4272 4.4391 4.4483 4.4549 4.4589 4.4602 4.4589 4.4549 4.4483 4.4391 4.4273 4.3296
6.0000 4.2874 4.3842 4.3959 4.4051 4.4116 4.4155 4.4169 4.4156 4.4117 4.4051 4.3960 4.3843 4.2876
7.0000 4.2427 4.3385 4.3501 4.3591 4.3656 4.3695 4.3708 4.3695 4.3656 4.3592 4.3501 4.3386 4.2429
8.0000 4.1954 4.2900 4.3015 4.3104 4.3168 4.3207 4.3219 4.3207 4.3169 4.3105 4.3016 4.2901 4.1956
9.0000 4.1455 4.2390 4.2503 4.2591 4.2655 4.2692 4.2705 4.2693 4.2655 4.2592 4.2504 4.2391 4.1457
10.0000 4.0932 4.1854 4.1966 4.2053 4.2116 4.2153 4.2165 4.2153 4.2116 4.2054 4.1967 4.1855 4.0934
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5994 4.7037 4.7163 4.7261 4.7332 4.7374 4.7388 4.7374 4.7332 4.7262 4.7164 4.7038 4.5995
-9.0000 4.5997 4.7040 4.7166 4.7265 4.7335 4.7377 4.7391 4.7377 4.7335 4.7265 4.7167 4.7041 4.5998
-8.0000 4.5968 4.7011 4.7137 4.7235 4.7305 4.7348 4.7362 4.7348 4.7306 4.7236 4.7137 4.7011 4.5970
-7.0000 4.5908 4.6949 4.7075 4.7173 4.7243 4.7285 4.7299 4.7285 4.7243 4.7173 4.7075 4.6949 4.5910
-6.0000 4.5816 4.6854 4.6980 4.7078 4.7148 4.7190 4.7204 4.7190 4.7148 4.7078 4.6981 4.6855 4.5818
-5.0000 4.5693 4.6728 4.6853 4.6951 4.7021 4.7063 4.7077 4.7063 4.7021 4.6951 4.6854 4.6729 4.5694
-4.0000 4.5537 4.6569 4.6694 4.6791 4.6861 4.6902 4.6917 4.6903 4.6861 4.6792 4.6694 4.6570 4.5539
-3.0000 4.5351 4.6378 4.6502 4.6599 4.6669 4.6710 4.6724 4.6710 4.6669 4.6600 4.6503 4.6379 4.5353
-2.0000 4.5134 4.6156 4.6280 4.6376 4.6445 4.6486 4.6500 4.6486 4.6445 4.6376 4.6280 4.6157 4.5136
-1.0000 4.4886 4.5902 4.6025 4.6121 4.6190 4.6231 4.6245 4.6231 4.6190 4.6122 4.6026 4.5903 4.4888
0.0000 4.4609 4.5618 4.5740 4.5835 4.5903 4.5944 4.5958 4.5944 4.5904 4.5836 4.5741 4.5619 4.4610
1.0000 4.4301 4.5303 4.5424 4.5519 4.5586 4.5627 4.5641 4.5627 4.5587 4.5519 4.5425 4.5304 4.4303
2.0000 4.3964 4.4958 4.5079 4.5172 4.5239 4.5280 4.5293 4.5280 4.5240 4.5173 4.5079 4.4959 4.3966
3.0000 4.3599 4.4584 4.4704 4.4797 4.4863 4.4903 4.4916 4.4903 4.4863 4.4797 4.4704 4.4585 4.3601
4.0000 4.3206 4.4182 4.4300 4.4392 4.4458 4.4497 4.4511 4.4498 4.4458 4.4392 4.4301 4.4183 4.3207
5.0000 4.2785 4.3751 4.3868 4.3959 4.4024 4.4064 4.4077 4.4064 4.4025 4.3960 4.3869 4.3752 4.2787
6.0000 4.2338 4.3293 4.3409 4.3499 4.3564 4.3602 4.3615 4.3603 4.3564 4.3500 4.3410 4.3294 4.2339
7.0000 4.1864 4.2809 4.2923 4.3012 4.3076 4.3114 4.3127 4.3115 4.3077 4.3013 4.2924 4.2810 4.1866
8.0000 4.1366 4.2299 4.2412 4.2500 4.2563 4.2601 4.2613 4.2601 4.2563 4.2501 4.2413 4.2300 4.1368
9.0000 4.0844 4.1764 4.1876 4.1963 4.2025 4.2062 4.2075 4.2062 4.2025 4.1963 4.1876 4.1765 4.0845
10.0000 4.0298 4.1206 4.1315 4.1401 4.1462 4.1499 4.1512 4.1499 4.1463 4.1402 4.1316 4.1207 4.0299
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5863 4.6903 4.7029 4.7127 4.7197 4.7240 4.7254 4.7240 4.7198 4.7128 4.7030 4.6904 4.5864
-9.0000 4.5830 4.6869 4.6995 4.7093 4.7163 4.7205 4.7220 4.7206 4.7164 4.7094 4.6996 4.6870 4.5832
-8.0000 4.5766 4.6803 4.6929 4.7027 4.7097 4.7139 4.7153 4.7139 4.7097 4.7027 4.6929 4.6804 4.5767
-7.0000 4.5670 4.6705 4.6830 4.6928 4.6998 4.7040 4.7054 4.7040 4.6998 4.6928 4.6831 4.6706 4.5671
-6.0000 4.5543 4.6574 4.6699 4.6797 4.6866 4.6908 4.6922 4.6908 4.6867 4.6797 4.6700 4.6575 4.5544
-5.0000 4.5384 4.6412 4.6537 4.6634 4.6703 4.6745 4.6759 4.6745 4.6703 4.6634 4.6537 4.6413 4.5386
-4.0000 4.5195 4.6218 4.6342 4.6439 4.6508 4.6549 4.6563 4.6549 4.6508 4.6439 4.6343 4.6219 4.5196
-3.0000 4.4975 4.5993 4.6116 4.6212 4.6281 4.6322 4.6336 4.6322 4.6281 4.6213 4.6117 4.5994 4.4976
-2.0000 4.4724 4.5736 4.5859 4.5954 4.6023 4.6064 4.6078 4.6064 4.6023 4.5955 4.5860 4.5737 4.4726
-1.0000 4.4444 4.5450 4.5571 4.5666 4.5734 4.5775 4.5788 4.5775 4.5734 4.5667 4.5572 4.5450 4.4446
0.0000 4.4135 4.5133 4.5254 4.5348 4.5415 4.5456 4.5469 4.5456 4.5415 4.5348 4.5254 4.5134 4.4136
1.0000 4.3796 4.4786 4.4906 4.5000 4.5066 4.5107 4.5120 4.5107 4.5067 4.5000 4.4907 4.4787 4.3798
2.0000 4.3429 4.4411 4.4530 4.4622 4.4689 4.4728 4.4742 4.4729 4.4689 4.4623 4.4530 4.4412 4.3431
3.0000 4.3035 4.4007 4.4125 4.4217 4.4282 4.4322 4.4335 4.4322 4.4283 4.4217 4.4126 4.4008 4.3037
4.0000 4.2614 4.3576 4.3693 4.3783 4.3848 4.3887 4.3900 4.3887 4.3849 4.3784 4.3693 4.3577 4.2616
5.0000 4.2166 4.3118 4.3233 4.3323 4.3387 4.3426 4.3439 4.3426 4.3388 4.3324 4.3234 4.3119 4.2168
6.0000 4.1693 4.2634 4.2748 4.2836 4.2900 4.2938 4.2951 4.2938 4.2900 4.2837 4.2748 4.2635 4.1695
7.0000 4.1195 4.2124 4.2237 4.2324 4.2387 4.2425 4.2437 4.2425 4.2388 4.2325 4.2238 4.2125 4.1197
8.0000 4.0674 4.1590 4.1701 4.1788 4.1850 4.1887 4.1899 4.1887 4.1850 4.1789 4.1702 4.1591 4.0675
9.0000 4.0129 4.1033 4.1143 4.1228 4.1289 4.1326 4.1338 4.1326 4.1289 4.1228 4.1143 4.1034 4.0131
10.0000 3.9562 4.0453 4.0561 4.0645 4.0705 4.0741 4.0754 4.0742 4.0706 4.0646 4.0562 4.0454 3.9564
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5612 4.6646 4.6771 4.6869 4.6939 4.6981 4.6995 4.6981 4.6939 4.6869 4.6772 4.6647 4.5613
-9.0000 4.5543 4.6575 4.6700 4.6798 4.6867 4.6909 4.6923 4.6909 4.6868 4.6798 4.6701 4.6576 4.5544
-8.0000 4.5443 4.6473 4.6597 4.6694 4.6764 4.6806 4.6820 4.6806 4.6764 4.6695 4.6598 4.6473 4.5444
-7.0000 4.5311 4.6338 4.6462 4.6559 4.6628 4.6670 4.6684 4.6670 4.6629 4.6560 4.6463 4.6339 4.5313
-6.0000 4.5149 4.6172 4.6296 4.6392 4.6461 4.6503 4.6516 4.6503 4.6461 4.6393 4.6296 4.6173 4.5151
-5.0000 4.4956 4.5974 4.6097 4.6193 4.6262 4.6303 4.6317 4.6304 4.6262 4.6194 4.6098 4.5975 4.4958
-4.0000 4.4733 4.5745 4.5868 4.5964 4.6032 4.6073 4.6087 4.6073 4.6032 4.5964 4.5869 4.5746 4.4734
-3.0000 4.4480 4.5486 4.5608 4.5703 4.5771 4.5812 4.5825 4.5812 4.5771 4.5703 4.5609 4.5487 4.4481
-2.0000 4.4197 4.5197 4.5318 4.5412 4.5480 4.5520 4.5534 4.5520 4.5480 4.5413 4.5318 4.5198 4.4198
-1.0000 4.3885 4.4877 4.4998 4.5091 4.5158 4.5198 4.5212 4.5199 4.5159 4.5092 4.4998 4.4878 4.3887
0.0000 4.3545 4.4529 4.4648 4.4741 4.4808 4.4848 4.4861 4.4848 4.4808 4.4742 4.4649 4.4530 4.3546
1.0000 4.3176 4.4152 4.4270 4.4362 4.4428 4.4468 4.4481 4.4468 4.4429 4.4363 4.4271 4.4153 4.3178
2.0000 4.2781 4.3747 4.3864 4.3956 4.4021 4.4060 4.4073 4.4060 4.4021 4.3956 4.3865 4.3748 4.2783
3.0000 4.2359 4.3315 4.3431 4.3521 4.3586 4.3625 4.3638 4.3625 4.3586 4.3522 4.3432 4.3316 4.2361
4.0000 4.1911 4.2857 4.2971 4.3061 4.3124 4.3163 4.3176 4.3163 4.3125 4.3061 4.2972 4.2858 4.1913
5.0000 4.1438 4.2373 4.2486 4.2574 4.2637 4.2675 4.2688 4.2675 4.2638 4.2575 4.2487 4.2374 4.1440
6.0000 4.0941 4.1864 4.1976 4.2063 4.2125 4.2162 4.2175 4.2163 4.2125 4.2063 4.1976 4.1865 4.0942
7.0000 4.0420 4.1331 4.1441 4.1527 4.1589 4.1626 4.1638 4.1626 4.1589 4.1528 4.1442 4.1332 4.0422
8.0000 3.9877 4.0775 4.0884 4.0968 4.1029 4.1065 4.1078 4.1066 4.1029 4.0969 4.0884 4.0776 3.9878
9.0000 3.9312 4.0197 4.0304 4.0387 4.0447 4.0483 4.0495 4.0483 4.0448 4.0388 4.0305 4.0198 3.9314
10.0000 3.8726 3.9598 3.9703 3.9785 3.9844 3.9880 3.9891 3.9880 3.9845 3.9786 3.9704 3.9599 3.8728
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5240 4.6266 4.6390 4.6487 4.6556 4.6597 4.6611 4.6597 4.6556 4.6487 4.6390 4.6266 4.5241
-9.0000 4.5135 4.6158 4.6282 4.6378 4.6447 4.6489 4.6503 4.6489 4.6448 4.6379 4.6282 4.6159 4.5136
-8.0000 4.4999 4.6019 4.6142 4.6238 4.6307 4.6348 4.6362 4.6349 4.6307 4.6239 4.6143 4.6019 4.5000
-7.0000 4.4832 4.5848 4.5971 4.6067 4.6135 4.6176 4.6190 4.6177 4.6136 4.6067 4.5972 4.5849 4.4834
-6.0000 4.4635 4.5646 4.5769 4.5864 4.5932 4.5973 4.5987 4.5973 4.5932 4.5864 4.5769 4.5647 4.4637
-5.0000 4.4408 4.5414 4.5536 4.5630 4.5698 4.5739 4.5753 4.5739 4.5699 4.5631 4.5536 4.5415 4.4410
-4.0000 4.4152 4.5151 4.5272 4.5366 4.5434 4.5474 4.5488 4.5474 4.5434 4.5367 4.5273 4.5152 4.4153
-3.0000 4.3866 4.4858 4.4979 4.5072 4.5139 4.5179 4.5193 4.5180 4.5139 4.5073 4.4979 4.4859 4.3868
-2.0000 4.3552 4.4536 4.4656 4.4749 4.4815 4.4855 4.4868 4.4855 4.4815 4.4749 4.4656 4.4537 4.3553
-1.0000 4.3209 4.4186 4.4304 4.4396 4.4462 4.4502 4.4515 4.4502 4.4462 4.4397 4.4305 4.4187 4.3211
0.0000 4.2839 4.3807 4.3924 4.4015 4.4081 4.4120 4.4133 4.4120 4.4081 4.4016 4.3925 4.3808 4.2841
1.0000 4.2442 4.3401 4.3517 4.3607 4.3672 4.3711 4.3724 4.3711 4.3672 4.3608 4.3517 4.3402 4.2444
2.0000 4.2019 4.2968 4.3082 4.3172 4.3236 4.3274 4.3287 4.3275 4.3236 4.3172 4.3083 4.2968 4.2021
3.0000 4.1570 4.2508 4.2622 4.2711 4.2774 4.2812 4.2825 4.2812 4.2774 4.2711 4.2623 4.2509 4.1572
4.0000 4.1097 4.2024 4.2136 4.2224 4.2286 4.2324 4.2337 4.2324 4.2287 4.2224 4.2137 4.2025 4.1099
5.0000 4.0600 4.1515 4.1626 4.1713 4.1774 4.1812 4.1824 4.1812 4.1775 4.1713 4.1627 4.1516 4.0602
6.0000 4.0080 4.0983 4.1093 4.1178 4.1239 4.1275 4.1288 4.1276 4.1239 4.1178 4.1093 4.0984 4.0082
7.0000 3.9538 4.0429 4.0536 4.0620 4.0680 4.0717 4.0729 4.0717 4.0681 4.0621 4.0537 4.0429 3.9540
8.0000 3.8975 3.9852 3.9958 4.0041 4.0100 4.0136 4.0148 4.0136 4.0101 4.0042 3.9959 3.9853 3.8977
9.0000 3.8392 3.9255 3.9360 3.9441 3.9500 3.9535 3.9546 3.9535 3.9500 3.9442 3.9361 3.9256 3.8393
10.0000 3.7789 3.8639 3.8741 3.8822 3.8879 3.8913 3.8925 3.8914 3.8879 3.8822 3.8742 3.8640 3.7791
3 dimensional table with 7 rows, 1 columns 7 tables.
-5.0000
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5792 4.6831 4.6957 4.7054 4.7125 4.7167 4.7181 4.7167 4.7125 4.7055 4.6957 4.6832 4.5794
-9.0000 4.5886 4.6926 4.7052 4.7150 4.7221 4.7263 4.7277 4.7263 4.7221 4.7151 4.7053 4.6927 4.5887
-8.0000 4.5947 4.6989 4.7115 4.7214 4.7284 4.7326 4.7340 4.7326 4.7284 4.7214 4.7116 4.6990 4.5949
-7.0000 4.5977 4.7019 4.7146 4.7244 4.7314 4.7357 4.7371 4.7357 4.7315 4.7244 4.7146 4.7020 4.5979
-6.0000 4.5975 4.7017 4.7143 4.7241 4.7312 4.7354 4.7368 4.7354 4.7312 4.7242 4.7144 4.7018 4.5976
-5.0000 4.5940 4.6981 4.7107 4.7206 4.7276 4.7318 4.7332 4.7318 4.7276 4.7206 4.7108 4.6982 4.5942
-4.0000 4.5874 4.6913 4.7039 4.7137 4.7207 4.7249 4.7263 4.7249 4.7207 4.7137 4.7039 4.6914 4.5875
-3.0000 4.5775 4.6812 4.6937 4.7035 4.7105 4.7147 4.7161 4.7147 4.7105 4.7036 4.6938 4.6813 4.5777
-2.0000 4.5644 4.6678 4.6803 4.6900 4.6970 4.7012 4.7026 4.7012 4.6970 4.6901 4.6803 4.6679 4.5646
-1.0000 4.5481 4.6511 4.6636 4.6733 4.6802 4.6844 4.6858 4.6844 4.6803 4.6733 4.6636 4.6512 4.5483
0.0000 4.5287 4.6312 4.6436 4.6533 4.6602 4.6644 4.6657 4.6644 4.6602 4.6533 4.6437 4.6313 4.5289
1.0000 4.5061 4.6081 4.6204 4.6301 4.6369 4.6411 4.6425 4.6411 4.6370 4.6301 4.6205 4.6082 4.5063
2.0000 4.4805 4.5818 4.5941 4.6036 4.6105 4.6146 4.6160 4.6146 4.6105 4.6037 4.5942 4.5819 4.4806
3.0000 4.4517 4.5524 4.5646 4.5741 4.5809 4.5850 4.5863 4.5850 4.5809 4.5741 4.5647 4.5525 4.4519
4.0000 4.4200 4.5199 4.5320 4.5414 4.5482 4.5522 4.5536 4.5522 4.5482 4.5415 4.5321 4.5200 4.4202
5.0000 4.3853 4.4844 4.4964 4.5057 4.5124 4.5164 4.5178 4.5164 4.5124 4.5058 4.4964 4.4845 4.3855
6.0000 4.3476 4.4459 4.4578 4.4670 4.4736 4.4776 4.4790 4.4777 4.4737 4.4671 4.4578 4.4460 4.3478
7.0000 4.3072 4.4044 4.4162 4.4254 4.4320 4.4359 4.4372 4.4359 4.4320 4.4254 4.4163 4.4045 4.3074
8.0000 4.2639 4.3602 4.3718 4.3809 4.3874 4.3913 4.3926 4.3913 4.3874 4.3810 4.3719 4.3603 4.2641
9.0000 4.2180 4.3131 4.3247 4.3336 4.3401 4.3439 4.3452 4.3439 4.3401 4.3337 4.3247 4.3132 4.2181
10.0000 4.1694 4.2634 4.2748 4.2837 4.2900 4.2938 4.2951 4.2938 4.2900 4.2837 4.2749 4.2635 4.1695
0.0000
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5893 4.6934 4.7060 4.7158 4.7228 4.7270 4.7284 4.7270 4.7228 4.7158 4.7060 4.6934 4.5894
-9.0000 4.5968 4.7011 4.7137 4.7235 4.7306 4.7348 4.7362 4.7348 4.7306 4.7236 4.7137 4.7011 4.5970
-8.0000 4.6012 4.7055 4.7181 4.7280 4.7350 4.7393 4.7407 4.7393 4.7351 4.7280 4.7182 4.7056 4.6013
-7.0000 4.6024 4.7067 4.7193 4.7292 4.7362 4.7404 4.7418 4.7404 4.7362 4.7292 4.7194 4.7068 4.6025
-6.0000 4.6003 4.7046 4.7172 4.7270 4.7341 4.7383 4.7397 4.7383 4.7341 4.7271 4.7173 4.7047 4.6005
-5.0000 4.5951 4.6992 4.7118 4.7216 4.7286 4.7329 4.7343 4.7329 4.7287 4.7217 4.7119 4.6993 4.5952
-4.0000 4.5866 4.6905 4.7031 4.7129 4.7199 4.7241 4.7255 4.7241 4.7199 4.7129 4.7032 4.6906 4.5868
-3.0000 4.5749 4.6786 4.6911 4.7009 4.7079 4.7121 4.7135 4.7121 4.7079 4.7009 4.6912 4.6786 4.5751
-2.0000 4.5601 4.6633 4.6758 4.6856 4.6926 4.6967 4.6981 4.6968 4.6926 4.6856 4.6759 4.6634 4.5603
-1.0000 4.5421 4.6449 4.6573 4.6670 4.6740 4.6782 4.6796 4.6782 4.6740 4.6671 4.6574 4.6450 4.5422
0.0000 4.5209 4.6232 4.6356 4.6453 4.6522 4.6563 4.6577 4.6564 4.6522 4.6453 4.6357 4.6233 4.5211
1.0000 4.4967 4.5984 4.6107 4.6203 4.6272 4.6313 4.6327 4.6313 4.6272 4.6204 4.6108 4.5985 4.4968
2.0000 4.4693 4.5704 4.5827 4.5922 4.5990 4.6031 4.6045 4.6031 4.5991 4.5923 4.5827 4.5705 4.4695
3.0000 4.4390 4.5394 4.5515 4.5610 4.5677 4.5718 4.5732 4.5718 4.5678 4.5610 4.5516 4.5394 4.4392
4.0000 4.4056 4.5052 4.5173 4.5267 4.5334 4.5374 4.5388 4.5375 4.5334 4.5267 4.5174 4.5053 4.4058
5.0000 4.3694 4.4681 4.4801 4.4894 4.4961 4.5001 4.5014 4.5001 4.4961 4.4894 4.4802 4.4682 4.3696
6.0000 4.3303 4.4281 4.4399 4.4491 4.4558 4.4597 4.4610 4.4597 4.4558 4.4492 4.4400 4.4282 4.3305
7.0000 4.2883 4.3852 4.3969 4.4060 4.4126 4.4165 4.4178 4.4165 4.4126 4.4061 4.3970 4.3853 4.2885
8.0000 4.2437 4.3395 4.3511 4.3601 4.3666 4.3705 4.3718 4.3705 4.3666 4.3602 4.3511 4.3396 4.2439
9.0000 4.1964 4.2911 4.3025 4.3114 4.3178 4.3217 4.3230 4.3217 4.3179 4.3115 4.3026 4.2912 4.1966
10.0000 4.1465 4.2400 4.2513 4.2601 4.2665 4.2702 4.2715 4.2703 4.2665 4.2602 4.2514 4.2401 4.1467
10.0000
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.6003 4.7047 4.7173 4.7272 4.7342 4.7384 4.7399 4.7385 4.7342 4.7272 4.7174 4.7048 4.6005
-9.0000 4.6043 4.7087 4.7213 4.7312 4.7382 4.7425 4.7439 4.7425 4.7383 4.7312 4.7214 4.7088 4.6044
-8.0000 4.6050 4.7095 4.7221 4.7319 4.7390 4.7432 4.7446 4.7432 4.7390 4.7320 4.7222 4.7095 4.6052
-7.0000 4.6026 4.7069 4.7196 4.7294 4.7364 4.7407 4.7421 4.7407 4.7365 4.7295 4.7196 4.7070 4.6028
-6.0000 4.5970 4.7011 4.7138 4.7236 4.7306 4.7348 4.7363 4.7349 4.7307 4.7236 4.7138 4.7012 4.5971
-5.0000 4.5881 4.6921 4.7047 4.7145 4.7215 4.7257 4.7271 4.7257 4.7215 4.7145 4.7047 4.6922 4.5883
-4.0000 4.5761 4.6798 4.6923 4.7021 4.7091 4.7133 4.7147 4.7133 4.7091 4.7022 4.6924 4.6799 4.5763
-3.0000 4.5610 4.6642 4.6767 4.6865 4.6935 4.6977 4.6991 4.6977 4.6935 4.6865 4.6768 4.6643 4.5611
-2.0000 4.5426 4.6455 4.6579 4.6676 4.6746 4.6787 4.6801 4.6788 4.6746 4.6677 4.6580 4.6456 4.5428
-1.0000 4.5212 4.6235 4.6359 4.6456 4.6525 4.6566 4.6580 4.6567 4.6525 4.6456 4.6360 4.6236 4.5214
0.0000 4.4967 4.5984 4.6108 4.6204 4.6272 4.6313 4.6327 4.6314 4.6273 4.6204 4.6108 4.5985 4.4969
1.0000 4.4691 4.5702 4.5825 4.5920 4.5988 4.6029 4.6043 4.6029 4.5989 4.5920 4.5825 4.5703 4.4693
2.0000 4.4386 4.5389 4.5511 4.5606 4.5673 4.5714 4.5728 4.5714 4.5674 4.5606 4.5512 4.5390 4.4387
3.0000 4.4051 4.5046 4.5167 4.5261 4.5328 4.5368 4.5382 4.5369 4.5328 4.5261 4.5168 4.5047 4.4052
4.0000 4.3687 4.4674 4.4793 4.4886 4.4953 4.4993 4.5007 4.4993 4.4953 4.4887 4.4794 4.4675 4.3688
5.0000 4.3294 4.4272 4.4391 4.4483 4.4549 4.4589 4.4602 4.4589 4.4549 4.4483 4.4391 4.4273 4.3296
6.0000 4.2874 4.3842 4.3959 4.4051 4.4116 4.4155 4.4169 4.4156 4.4117 4.4051 4.3960 4.3843 4.2876
7.0000 4.2427 4.3385 4.3501 4.3591 4.3656 4.3695 4.3708 4.3695 4.3656 4.3592 4.3501 4.3386 4.2429
8.0000 4.1954 4.2900 4.3015 4.3104 4.3168 4.3207 4.3219 4.3207 4.3169 4.3105 4.3016 4.2901 4.1956
9.0000 4.1455 4.2390 4.2503 4.2591 4.2655 4.2692 4.2705 4.2693 4.2655 4.2592 4.2504 4.2391 4.1457
10.0000 4.0932 4.1854 4.1966 4.2053 4.2116 4.2153 4.2165 4.2153 4.2116 4.2054 4.1967 4.1855 4.0934
20.0000
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5994 4.7037 4.7163 4.7261 4.7332 4.7374 4.7388 4.7374 4.7332 4.7262 4.7164 4.7038 4.5995
-9.0000 4.5997 4.7040 4.7166 4.7265 4.7335 4.7377 4.7391 4.7377 4.7335 4.7265 4.7167 4.7041 4.5998
-8.0000 4.5968 4.7011 4.7137 4.7235 4.7305 4.7348 4.7362 4.7348 4.7306 4.7236 4.7137 4.7011 4.5970
-7.0000 4.5908 4.6949 4.7075 4.7173 4.7243 4.7285 4.7299 4.7285 4.7243 4.7173 4.7075 4.6949 4.5910
-6.0000 4.5816 4.6854 4.6980 4.7078 4.7148 4.7190 4.7204 4.7190 4.7148 4.7078 4.6981 4.6855 4.5818
-5.0000 4.5693 4.6728 4.6853 4.6951 4.7021 4.7063 4.7077 4.7063 4.7021 4.6951 4.6854 4.6729 4.5694
-4.0000 4.5537 4.6569 4.6694 4.6791 4.6861 4.6902 4.6917 4.6903 4.6861 4.6792 4.6694 4.6570 4.5539
-3.0000 4.5351 4.6378 4.6502 4.6599 4.6669 4.6710 4.6724 4.6710 4.6669 4.6600 4.6503 4.6379 4.5353
-2.0000 4.5134 4.6156 4.6280 4.6376 4.6445 4.6486 4.6500 4.6486 4.6445 4.6376 4.6280 4.6157 4.5136
-1.0000 4.4886 4.5902 4.6025 4.6121 4.6190 4.6231 4.6245 4.6231 4.6190 4.6122 4.6026 4.5903 4.4888
0.0000 4.4609 4.5618 4.5740 4.5835 4.5903 4.5944 4.5958 4.5944 4.5904 4.5836 4.5741 4.5619 4.4610
1.0000 4.4301 4.5303 4.5424 4.5519 4.5586 4.5627 4.5641 4.5627 4.5587 4.5519 4.5425 4.5304 4.4303
2.0000 4.3964 4.4958 4.5079 4.5172 4.5239 4.5280 4.5293 4.5280 4.5240 4.5173 4.5079 4.4959 4.3966
3.0000 4.3599 4.4584 4.4704 4.4797 4.4863 4.4903 4.4916 4.4903 4.4863 4.4797 4.4704 4.4585 4.3601
4.0000 4.3206 4.4182 4.4300 4.4392 4.4458 4.4497 4.4511 4.4498 4.4458 4.4392 4.4301 4.4183 4.3207
5.0000 4.2785 4.3751 4.3868 4.3959 4.4024 4.4064 4.4077 4.4064 4.4025 4.3960 4.3869 4.3752 4.2787
6.0000 4.2338 4.3293 4.3409 4.3499 4.3564 4.3602 4.3615 4.3603 4.3564 4.3500 4.3410 4.3294 4.2339
7.0000 4.1864 4.2809 4.2923 4.3012 4.3076 4.3114 4.3127 4.3115 4.3077 4.3013 4.2924 4.2810 4.1866
8.0000 4.1366 4.2299 4.2412 4.2500 4.2563 4.2601 4.2613 4.2601 4.2563 4.2501 4.2413 4.2300 4.1368
9.0000 4.0844 4.1764 4.1876 4.1963 4.2025 4.2062 4.2075 4.2062 4.2025 4.1963 4.1876 4.1765 4.0845
10.0000 4.0298 4.1206 4.1315 4.1401 4.1462 4.1499 4.1512 4.1499 4.1463 4.1402 4.1316 4.1207 4.0299
30.0000
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5863 4.6903 4.7029 4.7127 4.7197 4.7240 4.7254 4.7240 4.7198 4.7128 4.7030 4.6904 4.5864
-9.0000 4.5830 4.6869 4.6995 4.7093 4.7163 4.7205 4.7220 4.7206 4.7164 4.7094 4.6996 4.6870 4.5832
-8.0000 4.5766 4.6803 4.6929 4.7027 4.7097 4.7139 4.7153 4.7139 4.7097 4.7027 4.6929 4.6804 4.5767
-7.0000 4.5670 4.6705 4.6830 4.6928 4.6998 4.7040 4.7054 4.7040 4.6998 4.6928 4.6831 4.6706 4.5671
-6.0000 4.5543 4.6574 4.6699 4.6797 4.6866 4.6908 4.6922 4.6908 4.6867 4.6797 4.6700 4.6575 4.5544
-5.0000 4.5384 4.6412 4.6537 4.6634 4.6703 4.6745 4.6759 4.6745 4.6703 4.6634 4.6537 4.6413 4.5386
-4.0000 4.5195 4.6218 4.6342 4.6439 4.6508 4.6549 4.6563 4.6549 4.6508 4.6439 4.6343 4.6219 4.5196
-3.0000 4.4975 4.5993 4.6116 4.6212 4.6281 4.6322 4.6336 4.6322 4.6281 4.6213 4.6117 4.5994 4.4976
-2.0000 4.4724 4.5736 4.5859 4.5954 4.6023 4.6064 4.6078 4.6064 4.6023 4.5955 4.5860 4.5737 4.4726
-1.0000 4.4444 4.5450 4.5571 4.5666 4.5734 4.5775 4.5788 4.5775 4.5734 4.5667 4.5572 4.5450 4.4446
0.0000 4.4135 4.5133 4.5254 4.5348 4.5415 4.5456 4.5469 4.5456 4.5415 4.5348 4.5254 4.5134 4.4136
1.0000 4.3796 4.4786 4.4906 4.5000 4.5066 4.5107 4.5120 4.5107 4.5067 4.5000 4.4907 4.4787 4.3798
2.0000 4.3429 4.4411 4.4530 4.4622 4.4689 4.4728 4.4742 4.4729 4.4689 4.4623 4.4530 4.4412 4.3431
3.0000 4.3035 4.4007 4.4125 4.4217 4.4282 4.4322 4.4335 4.4322 4.4283 4.4217 4.4126 4.4008 4.3037
4.0000 4.2614 4.3576 4.3693 4.3783 4.3848 4.3887 4.3900 4.3887 4.3849 4.3784 4.3693 4.3577 4.2616
5.0000 4.2166 4.3118 4.3233 4.3323 4.3387 4.3426 4.3439 4.3426 4.3388 4.3324 4.3234 4.3119 4.2168
6.0000 4.1693 4.2634 4.2748 4.2836 4.2900 4.2938 4.2951 4.2938 4.2900 4.2837 4.2748 4.2635 4.1695
7.0000 4.1195 4.2124 4.2237 4.2324 4.2387 4.2425 4.2437 4.2425 4.2388 4.2325 4.2238 4.2125 4.1197
8.0000 4.0674 4.1590 4.1701 4.1788 4.1850 4.1887 4.1899 4.1887 4.1850 4.1789 4.1702 4.1591 4.0675
9.0000 4.0129 4.1033 4.1143 4.1228 4.1289 4.1326 4.1338 4.1326 4.1289 4.1228 4.1143 4.1034 4.0131
10.0000 3.9562 4.0453 4.0561 4.0645 4.0705 4.0741 4.0754 4.0742 4.0706 4.0646 4.0562 4.0454 3.9564
40.0000
2 dimensional table with 21 rows, 13 columns.
-10.0000 -5.0000 -4.0000 -3.0000 -2.0000 -1.0000 0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 10.0000
-10.0000 4.5612 4.6646 4.6771 4.6869 4.6939 4.6981 4.6995 4.6981 4.6939 4.6869 4.6772 4.6647 4.5613
-9.0000 4.5543 4.6575 4.6700 4.6798 4.6867 4.6909 4.6923 4.6909 4.6868 4.6798 4.6701 4.6576 4.5544
-8.0000 4.5443 4.6473 4.6597 4.6694 4.6764 4.6806 4.6820 4.6806 4.6764 4.6695 4.6598 4.6473 4.5444
-7.0000 4.5311 4.6338 4.6462 4.6559 4.6628 4.6670 4.6684 4.6670 4.6629 4.6560 4.6463 4.6339 4.5313
-6.0000 4.5149 4.6172 4.6296 4.6392 4.6461 4.6503 4.6516 4.6503 4.6461 4.6393 4.6296 4.6173 4.5151
-5.0000 4.4956 4.5974 4.6097 4.6193 4.6262 4.6303 4.6317 4.6304 4.6262 4.6194 4.6098 4.5975 4.4958
-4.0000 4.4733 4.5745 4.5868 4.5964 4.6032 4.6073 4.6087 4.6073 4.6032 4.5964 4.5869 4.5746 4.4734
-3.0000 4.4480 4.5486 4.5608 4.5703 4.5771 4.5812 4.5825 4.5812 4.5771 4.5703 4.5609 4.5487 4.4481
-2.0000 4.4197 4.5197 4.5318 4.5412 4.5480 4.5520 4.5534 4.5520 4.5480 4.5413 4.5318 4.5198 4.4198
-1.0000 4.3885 4.4877 4.4998 4.5091 4.5158 4.5198 4.5212 4.5199 4.5159 4.5092 4.4998 4.487