Subject: Southern California swarm From: Pete Rowe ptrowe@......... Date: Thu, 2 Apr 2009 09:43:38 -0700 (PDT) FYI This site http://www.scsn.org/ has info on the Salton Sea swam near the Mexican border. Pete
| FYI This site http://www.scsn.org/ has info on the Salton Sea swam near the Mexican border. Pete |
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>I=20 believe that increasing the mass will increase the signal to noise ratio b= ut=20 not sure.
I used an old 500Lb. seismometer once
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>A=20 balanced sensor is two coils/magnets wired in additive fashion with the ce= nter=20 point grounded
making a single three wire sensor. But both must be= =20 matched as close as possible to being
identical. Both sensors can use t= he=20 same mass or be two separate single devices on the same
foundation=20 (platform).
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Cable=20 should be 100% shielded and possibly the preamp located at the sensor itse= lf=20 with maybe 50Ft of cable at most.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>The=20 shield should probably be cut just before reaching the sensor but not sure= .. If=20 everything is insulated from EARTH you might surround even the sensor in t= he=20 electrical ground. Grounding is important to eliminate static and RFI nois= e as=20 well as the 60hz power hum that might originate
from power=20 lines.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Use=20 magnetic damping separate from the sensor and you will get better output f= rom=20 the sensor.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>IF you=20 could place the mass in a vacuum there would be no buoyancy effects for=20 changes in air density on the mass.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>The=20 greater the A/D Resolution the lower the overall gain needs to be in the=20 electronics.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Filter=20 Low Pass the output so that the Aliasing Freq occurs at 0Db or less of=20 electrical gain if possible.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Match=20 all your components as closely as possible in the preamp to avoid baseline= =20 drifting and common mode problems (same signal on the two main signal=20 leads).
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Double=20 regulate the power supply with at least three + volts between the output a= nd=20 the source.
So if you got 5 volts out you need at very least 8 volts=20 in.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Anything=20 at all that varies could affect the input
into your A/D converter. And=20= all=20 you want is pure signal.
The best of all would possibly be a three=20= axis=20 signal that is mathematically combined to create a single magnitude. But t= hen=20 you are not concerning yourself with the three dimensions but only phases=20= and=20 first time of arrival which is what interests myself the=20 most.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>Some=20 people believe that the sensor magnet is fixed to the physical ground is t= he=20 best way to go but not sure here since I have had excellent results with s= hort=20 period devices the other way around.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>If you=20 could string 100 devices together 50 on each side of Signal ground And loc= ate=20 them on the same platform just think of the sensitivity that might produce= ..=20 But who has that kind of monies
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>I think=20 you are not interested in the electronics but not sure about that. Need th= e=20 tools. Expensive.
(designing/Making Your Own or building premade kits)=20= But=20 you can do exactly what you want this way. I do not recommend this unless=20= you=20 have great amount time on your hands.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" face=3DArial color=3D#000000 size= =3D2>I have=20 made changes to my Lehman type sensor. It now works (peak is
there) on=20 0.3Hz, with the lower end around 0.030Hz. I hope that this is
good enou= gh=20 for me to record teleseismic events.
<= FONT=20 style=3D"BACKGROUND-COLOR: transparent" color=3D#000000 size=3D2=20 face=3DArial>http://www.jonfr.com/myndir/v/geology/seismometer/p4070001.jp= g.html
Has anyone used an Neodymium sphere or pair of sphere magnets as a Lehman pivot?
Rob
Is a scalpel blade against a steel ball bearing the current best consensus fo= r a Lehman pivot?
rob
Subject: Re: Best Lehman pivot From: ChrisAtUpw@....... Date: Thu, 9 Apr 2009 13:22:02 EDT In a message dated 09/04/2009, tchannel@............ writes: Hi Chris, I know how the roller on roller works, but I can't find a picture close up of one. Do you know of one? I was trying to explain it to someone, and picture would help. Hi Ted, Sorry, but I don't personally have a photo of the SEP bearings up close. And Charles hasn't included one in _http://www.myeclectic.info/SeismoPivots/seismopivots.htm_ (http://www.myeclectic.info/SeismoPivots/seismopivots.htm) The usual setup is to mount the vertical roller in a shallow V slot on the frame. The horizontal roller is mounted in a V slot on the end of the arm and it is held in frictional contact by the axial load along the arm. I have also used the shanks of 1/8" OD Tungsten Carbide drills. You can also use hardened martensitic SS rod, but you need lap and polish it after heat treatment. I glue the rods with two component acrylic adhesive, but they can also be clamped. The horizontal roller simply rolls around the vertical roller. The centre of rotation is the centre of the vertical roller. The crossed orientation is maintained by the arm suspension. Have you looked at the SEP Manual? There are some photos there, but the black painted Al frame is not helpful _http://www.bgs.ac.uk/education/school_seismology/seismometer.html_ (http://www.bgs.ac.uk/education/school_seismology/seismometer.html) This is the UK school seismometer. Regards, Chris----- Original Message -----From:=20 ChrisAtUpw@.......Sent: Thursday, April 09, 2009 = 9:43=20 AMSubject: Re: Best Lehman = pivotIn a message dated 09/04/2009, rog@.......... writes:Is a=20 scalpel blade against a steel ball bearing the current best = consensus for a=20 Lehman pivot?
robHi Rob,Crossed cylinders can be a = bit better.=20 The surfaces need to highly polished. The SEP uses 1/8" OD polished = Tungsten=20 Carbide needle rollers, but these may be rather expensive / difficult = to=20 obtain depending on where you live. See http://www.bgs.ac.uk/education/school_seismology/seismometer.html&n= bsp;You=20 mount both the vertical rollers on the frame.However, a polished SS plane rolling on a = SS ball=20 bearing works perfectly well and it may cost only 50 c! See http://www.smallparts.com/I use a 1/2" SS bearing and a large = scalpel blade=20 'trimmed' oval with a carbide disk and glued to the arm with two = part=20 acrylic adhesive. You can use bearings down to 1/4" OK, but mount them = on the=20 vertical frame, NOT on the arm! My top suspension is an 8 thou music = wire. I=20 can set the period to 60 seconds OK and it works for some days, but it = has=20 a significant tilt drift. My 'normal' set period is 20 = seconds. I=20 measured +/-2mm drift over a fortnight with this, in a max drift = range of=20 +/-10mm.The two 'suspensions' which are=20 very likey to give trouble are the knife edge on a plane and a = point in a=20 cup. The materials in contact are loaded close to or over the maximum = allowed=20 stress. I advise against trying to use either of these types.It may be beneficial to attach the top = support=20 ~3/4 along the arm as shown above. The balance between the mass and = the weight=20 of the arm itself can be set to minimise the vertical load on the = bottom=20 bearing. This improves the stability.Regards,Chris=20 Chapman
Hi Chris, I know how the roller on roller works, but I can't= find a picture close up of one. Do you know of one? I= was trying to explain it to someone, and picture would help.
= Subject: Re: Best Lehman pivot From: Dave Nelson dave.nelson@............... Date: Fri, 10 Apr 2009 09:32:08 +1000 Hi Chris,----- Original Message -----From:=20 ChrisAtUpw@.......Sent: Thursday, April 09, 2009 = 3:22=20 PMSubject: Re: Best Lehman = pivotIn a message dated 09/04/2009, tchannel@............=20 writes:Hi Ted,Sorry, wrong reference!=20Have you looked at the SEP Manual? There = are some=20 photos there, but the black painted Al frame is not = helpful http://www.mutr.co.= uk/images/Seismometer.pdf =20 This is the UK school seismometer.Regards,=Chris
Have you looked at the SEP Manual? There are some photos there, but the black painted Al frame is not helpful http://www.mutr.co.uk/images/Seismometer.pdf This is the UK school seismometer.Subject: Re: Best Lehman pivot From: "Robert O. Green" rog@.......... Date: Thu, 09 Apr 2009 20:23:48 -0700 Chris, Thank you kindly for your advice. Do you have pictures of your set up pivot and top suspension? Rob ChrisAtUpw@....... wrote: > In a message dated 09/04/2009, rog@.......... writes: > > Is a scalpel blade against a steel ball bearing the current best > consensus for a Lehman pivot? > rob > > Hi Rob, > Crossed cylinders can be a bit better. The surfaces need to highly > polished. The SEP uses 1/8" OD polished Tungsten Carbide needle > rollers, but these may be rather expensive / difficult to obtain > depending on where you live. See > http://www.bgs.ac.uk/education/school_seismology/seismometer.html You > mount both the vertical rollers on the frame. > However, a polished SS plane rolling on a SS ball bearing works > perfectly well and it may cost only 50 c! See http://www.smallparts.com/ > I use a 1/2" SS bearing and a large scalpel blade 'trimmed' oval > with a carbide disk and glued to the arm with two part acrylic > adhesive. You can use bearings down to 1/4" OK, but mount them on the > vertical frame, NOT on the arm! My top suspension is an 8 thou music > wire. I can set the period to 60 seconds OK and it works for some > days, but it has a significant tilt drift. My 'normal' set period is > 20 seconds. I measured +/-2mm drift over a fortnight with this, in a > max drift range of +/-10mm. > The two 'suspensions' which are very likey to give trouble are the > knife edge on a plane and a point in a cup. The materials in contact > are loaded close to or over the maximum allowed stress. I advise > against trying to use either of these types. > It may be beneficial to attach the top support ~3/4 along the arm > as shown above. The balance between the mass and the weight of the arm > itself can be set to minimise the vertical load on the bottom bearing. > This improves the stability. > Regards, > Chris Chapman > ------------------------------------------------------------------------ > > > No virus found in this incoming message. > Checked by AVG - http://www.avg.com > Version: 8.0.176 / Virus Database: 270.11.48/2048 - Release Date: 4/8/2009 7:02 PM > > __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: Best Lehman pivot From: "Robert O. Green" rog@.......... Date: Fri, 10 Apr 2009 07:44:29 -0700 Chris, Thank you for the links and your paper on pivot research. They are very informative. Rob ChrisAtUpw@....... wrote: > In a message dated 09/04/2009, tchannel@............ writes: > Hi Ted, > Sorry, wrong reference! > Have you looked at the SEP Manual? There are some photos there, > but the black painted Al frame is not helpful > http://www.mutr.co.uk/images/Seismometer.pdf This is the UK school > seismometer. > Regards, > Chris > ------------------------------------------------------------------------ > > > No virus found in this incoming message. > Checked by AVG - http://www.avg.com > Version: 8.0.176 / Virus Database: 270.11.48/2048 - Release Date: 4/8/2009 7:02 PM > > __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: How to adapt comercial sensors and seismograph? From: Antonio Moura geopresp@......... Date: Wed, 15 Apr 2009 01:06:37 +0100 I recently bought the following sensors: Kinemetrics SS-1, an SV,1 an SH1 a SensonicsSP3, Geotech-s-500 and a Guralp CMG-3V. Being an applied geophysics guy I thought these worked like geophones and without power and thus relying on data logger to amplify. Would anyone know how the Webtronics or Infiltec acquisition boards and home-made setups (National Instruments) could be adapted for these sensors? I need to power the sensors I supose? How? And does anyone know anything about ERA PRS-4 Scintrex 4 channel seismographs? Can they read signals from any of these sensors.Best regards Rui
Regards,
Chris
Has anyone use other ad converter with= AmaSeis?
Paul,
I also have had some WinSDR errors. It seemed that the =
GPS was
losing lock when viewing the log file. But WinSDR always reported in =
Lock. I
use the FTP feature to send the response to my web site and I was =
getting an
FTP error Bad Make Directory. I would just restart WinSDR and all =
was
OK. The last change I made was to plug Larry=E2=80=99s digitizer into a =
surge
suppressor. I think only think this may have helped. I=E2=80=99ve not =
seen any errors
for 5 days now. You want try it. Let us know if it =
helps.
Gary
From:=
psn-l-request@.............. [mailto:psn-l-request@............... On =
Behalf
Of Paul
Sent: Tuesday, April 14, 2009 5:37 PM
To: psn-l@..............
Subject: GPS problems
Hi all,
I have a couple of Larry's digitizers + GPS set up, and I am having a =
problem
where the GPS seems to lose the lock after a random amount of =
time.
Days, weeks, sometimes months. When it happens, =
it will
not regain the lock.
I have tried doing the GPS reset via the WinSDR menu, but that doesn't =
work.
Eventually I unplug the GPS (or the digitiser's power), and plug it back =
in
again, and it starts working again until it loses the lock the next =
time.
Does anyone else suffer from this problem?
thanks,
Paul
Gary,
I am curious.
What are typical times for Lehman hal= f-life decay?
What are the main causes of decay?
Rob
I have a question regarding the lower pivot. I read the material you provide= d previously. It seems a SS plate on the horizontal arm working against a= SS ball bearing on the vertical is a good choice. Is my understanding= correct?
I am planning a crossed carbide drill shafts for the upper pivot.Subject: Seismic detector with AIS326DQ From: alexander mirabal alexmirabal2000@........ Date: Wed, 22 Apr 2009 22:30:52 +0000 (GMT) Hello there, =A0 I am sure this matter has been covered here before, but can't find it and w= ould like your comments about the following: =A0 I need to build a device that alarms when a seism takes places, preferably = in an early state, let's say, for being used in public buildings or schools= .. It is not intended to measure and record the magnitud of the earth moveme= nt at all, just detect once it reaches certain level in any of the 3 axis a= nd activate a sound/visual indication. =A0 As a first aproximation, I was taking a look to this IC: AIS326DQ http://ww= w.st.com/stonline/products/literature/ds/14956/ais326dq.pdf, but honestly I= have no practical criteria to determine in advance=A0if it sensitive enoug= h for my purpose.=A0 The manufacturer web page mentions it is for automotiv= e applications, but my feeling is that the accelerations changes in such en= vironments are far beyond the ones I need to deal with. =A0 In case you consider it not suittable for this application, could any of yo= u, please, recommend some other chip? =A0 I am located in Mexico City. =A0 Thanks in advance, =A0 Alexander =A0=0A=0A=0AMount the balls or sloping vertical needle ro= llers on the upright stand and the plates or horizontal rollers on the arm and= the diagonal suspension. This minimises angular contact errors and lessens significantly the chance of the bearings slipping in operation.You can also use a flexing wire in tension fo= r either or both suspensions. See http://jclahr.com/science= /psn/gate.htmlYou could use crossed shanks for both bearing= s? This may be the simplest solution, but not the cheapest.Or use SS ball bearings for both? Drill out= a larger SS bolt to take say a 5/16" bearing and turn / file off the top thr= eads to leave a short thin tube with a V bottom. File off the top of the tube= at the angle of the top suspension and stick a ball to the V bottom. Mount the bo= lt vertically on an L bracket fitted to the upright. Bend a U of br= ass strip and solder a flat brass plate across the end. Stick a rectangle = ;cut from a scalpel blade to the inside of the flat plate with two part acrylic= glue. Epoxy is too brittle for this job. Two part polyurethane should also be OK= .. Neither of these set 'brittle hard'. This U fitting fits over the vertical= ly mounted SS bearing.Consider an Al base 30" long. The expans= ion of Al is 23 ppm / C deg. So a 10 C change of temperature results in= a 30x10x23^-6 =3D 7 thou" change in length! This will make the support= legs to slide over their mounting plates and will move any play / slop in the thre= ads. Commercial seismometers may use fine thread support fittings over 1/2= " long, which are slotted parallel to the axis. The slot is compressed with= a bolt to clamp the outer thread to the threaded shaft after the position has bee= n set.Alternatively, you can use a wavy washer and= a lock nut on top of the frame to clamp the thread in place. I use a 3" x 1" x 1/= 8" Al U channel frame fitted with 6" corner plates. I drill 1/2" OD Al alloy rod= 3/4" long with a 6 mm drill and turn off the ends square. I drill a 6 mm hole= in the frame. I fit a 6 mm bolt + locknut through the rod, put acrylic adhesive= on the free end of the rod and on a spare nut, put the bolt through the frame, th= read on the nut + adhesive and clamp the fitting firmly with the locknut= until the adhesive is set. Lightly coat the bolt thread with Vaseline and then= wipe it to prevent adhesion.The ground will likely expand by a smaller amount and more slowly, so the three mountings are tryin= g to slide about most of the time!!! I tip my 6 mm SS mounting bolts with 5 mm= SS bearings and provide 2" square x 1/8" flat SS support plates stuck to the concrete floor with pool cement. I don't have any significan= t tilt drift problems. You are likely to see tilt drifts over time if you don't= use a hard flat stable base / flat ground plates and don't clamp the threads.You need to make the arm quite rigid. Amateur= designs seem often to have no damping / mechanical constraint to counter= rotational motion of the seismometer arm about it's long axis. If the= centre of the damping force is either above or below the line joining the= centre of mass to the lower bearing, any quake signal will try to rotate the arm= as well as move it side to side. Since there is no or low damping on this mot= ion, the movement can be quite large and this may show up as a large backg= round peak at a few Hz. This may be opposed by fitting a rigid top suspension tu= be similar to the arm, or by using a V cable suspension from the top of the= support column to a 6" to 8" long crossbar bolted to the arm near the ma= ss. I use 7 core nylon coated SS 30 lb fishing trace for this. The cable ends ar= e loops fitted in round V grooves on the crossbar and are crimped with= the tubes provided. This seems to work well and it is not expensive. The top= fitting is a 1.5" OD SS mudguard washer with a V groove turned / filed around it's= edge. This is stuck onto the top bearing frame / wire clamp.You should choose a site with the minimum dai= ly temperature variations around the seismometer. It MUST be shielded from di= rect sunlight. You can buy LCD digital thermometers which run off a 1.5V batter= y, indicate to 0.1 C Deg and record minimum and maximum readings. Covering&nb= sp;the floor with insulating material around the seismometer can also help. You= definitely do need an airtight shielding case to prevent drafts and= to minimise any air convection, preferably made out of Celotex sheet foam or= similar. A large folded cover sheet of bubble wrap with the bubbles= inside can help.You can also get reverse convection noise lat= e at night / about dawn if the case temperature falls below the ground temperat= ure. Rolls of air peel off the inside of the case, fall to the ground and push= the arm about. This can be cured by mounting a small heater ~10W inside the to= p of the seismometer case to keep a +ve air temperature gradient inside at all= times.Have a look at the damping and sensor designs= at http://jclahr.co= m/science/psn/chapman/index.htmlI hope that these comments may be of help. Th= e Lehman designs on psn use out of date / poor techniques which need to= be completely revised. I advise against trying to use oil damping;= point or knife blade bearings; separated suspension, damping and sensor modules;= Alnico U magnet and coil sensors; magnets and ferromagnetic components on= the arm and single wire suspensions. These are ALL best avoided!Regards,Chris Chapman
Hello there,
I am sure this matter has been covered here before, but can't find it =
and would like your comments about the following:
I need to build a device that alarms when a seism takes places, prefer=
ably in an early state, let's say, for being used in public buildings or sc=
hools. It is not intended to measure and record the magnitud of the earth m=
ovement at all, just detect once it reaches certain level in any of the 3 a=
xis and activate a sound/visual indication.
As a first aproximation, I was taking a look to this IC: AIS326DQ http://www.st.com/stonline/products/literature/ds/14956/ais326dq.pdf,=
but honestly I have no practical criteria to determine in advance if =
it sensitive enough for my purpose. The manufacturer web page mention=
s it is for automotive applications, but my feeling is that the acceleratio=
ns changes in such environments are far beyond the ones I need to deal with=
..
In case you consider it not suittable for this application, could any =
of you, please, recommend some other chip?
I am located in Mexico City.
Thanks in advance,
Alexander
|
----- Original Message -----From:=20 ChrisAtUpw@.......Sent: Thursday, October 02, = 2008 4:33=20 PMSubject: Re: Torsion = SeismometerIn a=20 message dated 2008/10/02, tchannel1@............=20 writes:
I have seen something similar somewhere on the web, but = I can't=20 find it. This is all I could find. If = someone has=20 tried this please email me. Thanks, Ted
Torsion = Seismometer Wood=20 Anderson
http://www.data.sc= ec.org/Module/s3inset3.html
I need to build a device that alarms when a seism takes place, pref= erably in an early state, let's say, for being used in public buildings or scho= ols. It is not intended to measure and record the magnitude of the earth move= ment at all, just detect once it reaches certain level in any of the 3 axis= and activate a sound/visual indication.As a first approximation, I was taking a look to this IC: AIS326DQ= http://www.st.com/stonline/products/literature/ds/14956/ais326dq.pdf= , but honestly I have no practical criteria to determine in advance i= f it sensitive enough for my purpose. The manufacturer web page mention= s it is for automotive applications, but my feeling is that the accelerations= changes in such environments are far beyond the ones I need to deal with.
In case you consider it not suitable for this application, could an= y of you, please, recommend some other chip?
I am located in Mexico City.
The Ebay Item Number is 200334607108
----- Original Message ----- From: "Kareem Lanier" <system98765@........... com> Sent: Wednesday, April 22, 2009 8:10 PM
Subject: RE: TELEDYNE GEOTECH HELICORDERS=
Whats the ebay part number?Hi all,
-----Original Message-----
From: psn= -l-request@.............. [mailto:psn-l-request@..............] On
Behalf Of James Allen
Sent: Wednesday, April 22, 2009 7:54 PM
To: psn-l@webtron= ics.com
Subject: Re: TELEDYNE GEOTECH HELICORDERS
There is a large lot of Teledyne Geotech Helicorders just listed on Ebay
today. =A0Problem is, it is a very large "lot auction" =A0that wo= uld entail
shipping cost for hundreds of pounds of equipment.
James Allen
http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&= item=3D200334607108
Hi again;
Hi Chris,
Thank you very much for your helpful comments!
Yes, your explanation have definetly made me see that noise is a =
fact I have to deal with using external filtering, tuned based on real resp=
onse obtained from this environment, that is very noisy. An important part =
of this city is contructed on what was a lake before the spaniard conquest.=
It is very common here to feel on building's structure the vibrations prod=
uced by trucks or buses on the street.
Electronics is not a problem at all, and I advance some expe=
rimentation will be needed, particulary to choose the correct useful band o=
f the filters. The 3 axis accelerometer board block diagram is a good =
start point reference for me, but I feel (just that, because I insist I hav=
e no practical criteria in this matter) the 20Hz cut off frequency is too h=
igh. The vibration produced by trucks or busses on buildings look=
s to me lower in frequency, but the experimentation will say..!
I will try to get the 3052 sensors and go on with my own design of the=
filter/amps and microcontroller interface, and once I have some resul=
ts, will be glad to share them with the forum.
Many thanks again,
Alexander
--- El jue, 23/4/09, ChrisAtUpw@....... <Chr= isAtUpw@.......> escribi=F3:
|
IT's a kinemetrics PS2 system and I need a new pen for it. I can't seem to get= a new pen from any viable sources. The manufacturer wants to charge an enormou= s amount of money. I wasn't sure if anyone knew how to make one or point= me in that direction. It just looks like a metal tube (very, very small) that= has a bend in it so that makes contact with the paper.=
Subject: Re: How to post helicorder online From: Thomas Dick dickthomas01@............. Date: Sun, 26 Apr 2009 21:16:10 -0500 There are many ways to post on Internet. I occasionally post to Face book for my sons and certain selected outsiders to see a particular earthquake. I use Infraview to capture the screen, crop it a little and save it. I simple attach it to an email or post it directly into Face book. I have used Snag it. It works. You can then upload to a web site. That doesn't appeal to me because of the inherent delay that exists.... maybe to you. Most internet providers provide some space for you to have a website with reasonable memory. There are many programs that will help you to create a site; most are free ... or, it could be done with Microsoft Publisher if you have it. WinQuake allows almost automatic posting to the PSN network. I settled on a program called VNC (also free) because it allows me to access my computer that is running WinSDR and recording the data when I am away from the home location. It is a what you see is what you get program. You can put security (firewalls) up if you feel threaten by external accessing of your home repeater. I can do anything away from home that I would do at home as long as I have a good WiFi access. And speed isn't that big an issue. My laptop is only about 1 ghz speed. The home router runs at 24 mhz and the broad band connection runs over 10 ghz. Most of the time, the Wifi receiving unit is the problem; weak signal, , angle of sun or bad weather, too many on it at one time, things like that. I have occasionally "stolen" access at some motels ... by just pulling into their parking lot. __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: How to post helicorder online From: Robert McClure bobmcclure90@......... Date: Sun, 26 Apr 2009 22:33:54 -0400 For uploading real-time helicorder displays to your web site, see the following web page: http://www.jclahr.com/science/psn/as1/index.html How to create a real-time helicorder display for the Internet using SnagIt. How to create a real-time helicorder display for the Internet using MWSnap On 4/26/09, Thomas Dick----- Original Message -----From:=20 tchannelTo: psnSent: Sunday, April 26, 2009 = 9:00=20 AMSubject: How to post helicorder = onlineHi Folks, I know many of you = post your=20 helicorder (screen shots) online for others to see. In the = past I=20 could not do this because I only had a dial up modem. I now have = broad=20 band.Could someone explain how I can = do=20 this?Thanks, = Ted
| Thomas I use Tight VNC at home between my computer in the house and the sensor computer in the garage(same network). I tried to use the same server address from the garage from my work computer and could not connect. How did you determine the server address for your sensor when you are at a different location? Could my problem be a firewall issue? Regards Barry --- On Sun, 4/26/09, Thomas Dick <dickthomas01@.............> wrote: From: Thomas Dick <dickthomas01@.............> |
| Kareem Someone told me years ago to add a little glycerin to the ink to increase the ink drying time and prevent clogging. I haven't tried it. Regards Barry --- On Sun, 4/26/09, Kareem Lanier <system98765@.............> wrote: From: Kareem Lanier <system98765@.............> |
| Kareem I have had good luck just soaking the pens for a few days in alcohol. Then run a fine wire through it. As I recall, I used a Violin "E" string for some old Esterline Angus pens. These are really steel wire and not string.You can get one at any music store. I don't know what the inside diameter of your pen is but an e string will be between 0.5 and 0.6 millimeters in diameter. I hope this helps, Pete --- On Sat, 4/25/09, Kareem Lanier <system98765@.............> wrote: From: Kareem Lanier <system98765@.............> |
| Ted 2 cents: The late Sean Thomas Morri= ssey emailed PSN on Nov 13, 1999 with expected seismograph output. He relat= ed amplitude,magnitude and distance.Using his data I plotted distance on th= e x axis, my vertical sensor count on the y axis and had lines for 0.5 magn= itude incriments from 3 to 8. It was plotted on a log-log scale.My particul= ar sensor was theoretically 2000v/m/s @ 5 vts=3D32768 cnt. I then plotted i= ndividual points for each actual event I recorded. It correlated pretty wel= l. The four corners of my graph were: Clip @ M4.5@100km, and M8 @ 14000km. = My winter microseism amplitude was about 300 count. This related to M2.5 @ = 100km and M6 @ 14000km. I like the idea of recording at two or more gains s= imultaneously and after reviewing the data, saving the best. Barry<= br>--- On Wed, 4/29/09, tchannel <tchannel@............> wrote: From: tchannel <tchannel@............ t> |
Ted,
Tell us about your new vertical design seismo. What is =
the resonant
period, any pictures?
Gary
From:=
=
psn-l-request@..............
[mailto:psn-l-request@............... On Behalf Of tchannel
Sent: Wednesday, April 29, 2009 8:02 AM
To: psn
Subject: Counts
Hi
Folks, I have two vertical sensors in test, both using Larry's one
channel board and DATAQ adc. One of the boards is set for =
low gain
and one is set for high gain, using the jumper.
The
first earthquake records was the 5.6m in Mexico April 27th. =
Not
unexpected the counts on the one using high gain was 10x the one using =
low
gain. Something like 70 vs 700.
Both
traces looked fine and I could see little different, aside for the
counts. My question is what should my count target =
be?
Someone may have indicated about 100 to 300 counts during the quiet =
of
night?
The
reason I ask is I see data files posted with many using higher counts =
700 or
800, instead of smaller numbers. I know the higher =
gain
feature on the board is for lower voltage output. My coil =
and
magnets are similar to Chris's quad magnet arrangement, and a coil of =
4000
turns, so I have plenty of voltage.
I
would like your opinions and why.
Thanks,
Ted
Subject: Re: Counts From: Mark Robinson mark.robinson@............... Date: Fri, 01 May 2009 12:46:06 +1200 Edward Ianni wrote: > *Thank you Rodger, but what does a count of 60 or a count of 100 mean > specifically,........ a frequency or amplitude measurment or something > else? Thanks again, Ed.* "counts" means the raw numbers output by the analogue to digital converter. __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: New Lehman seismometer pivots From: "Robert O. Green" rog@.......... Date: Thu, 30 Apr 2009 19:46:15 -0700 Jon, Very nice. Can you describe the upper and lower pivots? Is there advantage to having the coil on the boom rather than the magnet? Rob Jón Frímann wrote: > Hi all > > I got a new lehman seismomter build from the old one, that was not > working. The new one is bit more complex and more adjustable. Now I just > have to figure out how to get the seconds down to 10 to 20 seconds. > > Here are pictures. > > http://www.jonfr.com/myndir/v/geology/lehman/p4300001.jpg.html > http://www.jonfr.com/myndir/v/geology/lehman/p4300002.jpg.html > > Regards. > > ------------------------------------------------------------------------ > > > Internal Virus Database is out of date. > Checked by AVG - http://www.avg.com > Version: 8.0.176 / Virus Database: 270.12.3/2075 - Release Date: 4/22/2009 5:25 PM > > __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: New Lehman seismometer pivots From: =?ISO-8859-1?Q?J=F3n_Fr=EDmann?= jonfr@......... Date: Fri, 01 May 2009 13:58:47 +0000 Hi Here are pictures of the top and lower pivots. The top is a hindge that allows free movement of the arm. It was recomenned to me that I should put the magnet on the base, not the arm. But I am not sure about the diffrance, I don't think it is none. But it works anyway. I am still unable to get the sensor frequancy below 0.4Hz. But this design is a lot more flexable then the last one I used. After the weekend I am going to do one more change. I plan to change the setting of the arm. So it has not such sharp angle, but I belive that is hampering my effort in getting the frequancy below 0.4Hz, as sharp angle means faster movement of the arm. http://www.jonfr.com/myndir/v/geology/lehman/p5010001.jpg.html http://www.jonfr.com/myndir/v/geology/lehman/p5010002.jpg.html http://www.jonfr.com/myndir/v/geology/lehman/p5010003.jpg.html Regards. J=F3n Fr=EDmann. On fim, 2009-04-30 at 19:46 -0700, Robert O. Green wrote: > Jon, >=20 > Very nice. >=20 > Can you describe the upper and lower pivots? >=20 > Is there advantage to having the coil on the boom rather than the magnet? >=20 > Rob >=20 > J=F3n Fr=EDmann wrote: > > Hi all > > > > I got a new lehman seismomter build from the old one, that was not > > working. The new one is bit more complex and more adjustable. Now I jus= t > > have to figure out how to get the seconds down to 10 to 20 seconds. > > > > Here are pictures. > > > > http://www.jonfr.com/myndir/v/geology/lehman/p4300001.jpg.html > > http://www.jonfr.com/myndir/v/geology/lehman/p4300002.jpg.html > > > > Regards. > > =20 > > -----------------------------------------------------------------------= - > > > > > > Internal Virus Database is out of date. > > Checked by AVG - http://www.avg.com > > Version: 8.0.176 / Virus Database: 270.12.3/2075 - Release Date: 4/22/2= 009 5:25 PM > > > > =20 >=20 > __________________________________________________________ >=20 > Public Seismic Network Mailing List (PSN-L) >=20 > To leave this list email PSN-L-REQUEST@.............. with=20 > the body of the message (first line only): unsubscribe > See http://www.seismicnet.com/maillist.html for more information. --=20 J=F3n Fr=EDmann http://www.jonfr.com __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: New Lehman seismometer From: Robert McClure bobmcclure90@......... Date: Fri, 1 May 2009 18:41:16 -0400 Hi Jon, I looked at your photos, and I think more work is needed. Be sure that none of the materials used in the boom and its parts are magnetic. DO SOMETHING ABOUT THE WIRE LEAD TO THE COIL!!! You cannot just leave it hanging loose from the boom. Cut it near the lower pivot, secure it to the boom, and join it with coils of fine copper wire to terminals on the frame. The terminals should be located as near to the lower pivot as possible. TURN THE DAMPING VANE NINETY DEGREES. Then you can adjust the damping by adjusting how far the vane protrudes into the magnet. As it is arranged now, you can only adjust the damping by changing the field gap of the magnet. Think about cross-bracing the uprights supporting the upper pivot in order to reduce side sway, which could cause instability. An "A" shaped upright frame would be the best for lateral stiffness. Be sure to mount the device on a base in solid contact with the ground. Avoid any compliant material between the feet and ground. Long period horizontal sensors are very tilt sensitive, so expect trace excursions if you walk anywhere near it. Locate it inside and as far away from human activity if you can. I do not like to see the coil and damping vane dangling down so far below the pendulum. I cannot comment on your pivots, because there is not enough detail shown. My personal belief is that the materials should be very hard, polished, and preferably of dissimilar composition -- for example, hardened steel mated with sapphire. Hard material resists flat spots, and the use of different materials resists stiction from molecular attraction at the interface. If you use balls and flat plates for pivots, the balls should be attached to the frame, not the pendulum. This is to avoid shifting of the hinge line if the point of contact of the ball with the plate should slip. Similarly, if you use crossed rods for pivots, the axes of the rods mounted on the frame should lie in a vertical plane. Bob PSN Station REM http://bobmclure90.googlepages/home ~~~~~~~Original Message~~~~~~~~ Subject: New Lehman seismometer From: jonfr@...... Date: Thu, 30 Apr 2009 19:59:23 +0000 Hi all I got a new lehman seismometer built from the old one, that was not working. The new one is bit more complex and more adjustable. Now I just have to figure out how to get the seconds down to 10 to 20 seconds. Here are pictures. http://www.jonfr.com/myndir/v/geology/lehman/p4300001.jpg.html http://www.jonfr.com/myndir/v/geology/lehman/p4300002.jpg.html Regards. Jon Frimann __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: New Lehman seismometer pivots From: Dave Nelson dave.nelson@............... Date: Sat, 02 May 2009 16:02:47 +1000 Jon,
HiSubject: Re: New Lehman seismometer pivots From: =?ISO-8859-1?Q?J=F3n_Fr=EDmann?= jonfr@......... Date: Sat, 02 May 2009 10:40:51 +0000 Hi The wire is not the issue. As it currently is it not loose. But I did place it nicely in regards to the boom and it's movement. The boom it self is free to move without issue. I am going to fix a lot of minor issues after the weekend, then I am going to post more pictures. I have posted new pictures here, they are hopefully more detailed then before. http://www.jonfr.com/myndir/v/geology/lehman/p5020001.jpg.html Regards. J=F3n Fr=EDmann. On lau, 2009-05-02 at 16:02 +1000, Dave Nelson wrote: > Jon, > As I told you several weeks ago and Bob McClure said within > the last=20 > couple of days ..... > "DO SOMETHING ABOUT THE WIRE LEAD TO THE COIL!!! You cannot just=20 > leave it hanging loose from the boom. Cut it near the lower pivot,=20 > secure it to the boom, and join it with coils of fine copper wire to=20 > terminals on the frame. The terminals should be located as near to > the=20 > lower pivot as possible." >=20 > Jon.... You MUST do this you, will NEVER achieve long period, free > motion of the=20 > arm until you get this sorted out. It is absolutely essential to get > rid of that huge=20 > thick cable coming off the pivot end of the boom, it will be totally > destroying any=20 > attempt you make to try to get any decent sort of period from the > seismometer. > Until you change that, almost anything else you do to the unit will be > worthless. > see how it is done on this commercial long period seismo that I and > others are/have used ..... www.sydneystormcity.com/990605-013a.jpg >=20 > you can see that in this case there are 2 pair of cables coming along > the boom=20 > ( there are 2 pickup coils on this seismo) they are terminated then > VERY fine wire connects them to terminals on the vertical part of the > frame. Use 26 - 30 swg enamelled wire ( the finer the better). and > also use finer cable between the pickup coil and the terminal point > that that thick cable you are currently using. >=20 > cheers > Dave Nelson > Sydney > Australia >=20 >=20 >=20 > At 01:58 PM 5/1/2009 +0000, you wrote: > > Hi > > I am still unable to get the sensor frequancy below 0.4Hz. But this > > design is a lot more flexable then the last one I used. > >=20 > > After the weekend I am going to do one more change. I plan to change > > the > > setting of the arm. So it has not such sharp angle, but I belive > > that is > > hampering my effort in getting the frequancy below 0.4Hz, as sharp > > angle > > means faster movement of the arm. > >=20 > > Regards. > > J=F3n Fr=EDmann. __________________________________________________________ Public Seismic Network Mailing List (PSN-L) Subject: Re: New Lehman seismometer pivots From: "Robert O. Green" rog@.......... Date: Sat, 02 May 2009 06:17:07 -0700 Dave, Is there are reason to have the coil on the boom? Wouldn't these issues be eliminated if the coil was on the base plate and the magnet was on the boom? Rob Dave Nelson wrote: > Jon, > As I told you several weeks ago and Bob McClure said within > the last > couple of days ..... > *"DO SOMETHING ABOUT THE WIRE LEAD TO THE COIL!!! *You cannot just > leave it hanging loose from the boom. Cut it near the lower pivot, > secure it to the boom, and join it with coils of fine copper wire to > terminals on the frame. The terminals should be located as near to the > lower pivot as possible." > > Jon.... You *MUST* do this you, will *NEVER* achieve long period, free > motion of the > arm until you get this sorted out. It is absolutely essential to get > rid of that huge > thick cable coming off the pivot end of the boom, it will be totally > destroying any > attempt you make to try to get any decent sort of period from the > seismometer. > Until you change that, almost anything else you do to the unit will be > worthless. > see how it is done on this commercial long period seismo that I and > others are/have used ..... www.sydneystormcity.com/990605-013a.jpg >
I am still unable to get the sensor frequancy below 0.4Hz. But this
design is a lot more flexable then the last one I used.
After the weekend I am going to do one more change. I plan to change the
setting of the arm. So it has not such sharp angle, but I belive that is
hampering my effort in getting the frequancy below 0.4Hz, as sharp angle
means faster movement of the arm.
Regards.
J=F3n Fr=EDmann.
Does anyone know if theres usually this =
many tremors in the English Channel. Or is something going to happen?.
James |
Subject: Re: English Channel swarm From: "tchannel" tchannel@............ Date: Sat, 2 May 2009 14:10:45 -0600 Hi Folks, Does anyone have any of these events as data files, .psn or .sac? If so can you tell where we could download the data files? Thanks, Ted Channel ----- Original Message ----- From: "Marchal van Lare"----- Original Message -----From:=20 Tangazazen@.......Sent: Saturday, May 02, 2009 = 8:37=20 PMSubject: Re: English Channel = swarmHi Marchal,If it was not for the depth you might = have been=20 right. There exists an under water valley called the Hurd Deep just = north of=20 the Channel Islands. It is about 150Km long, 1.5 to 5 Km wide and = about 55-90=20 meteres deep and was used to dump explosives after the last war. = If the=20 seismic activity had been that, it would have been more=20 interesting.Martin
If so can you tell where we could download the data files?
Thanks, Ted Channel
Subject: Guralp From: "Jack Ivey" ivey@.......... Date: Sat, 2 May 2009 22:23:46 -0400 Folks, I've come into possession of a late 80's vintage Guralp vertical force feedback seismo. Unfortunately, it has no model information. It has a 3"x9" (waterproof-ish but not borehole- ready) cylindrical sensor with very nice brass workings inside. There is also an amplifier package in an aluminum cylinder. It appears to use capacitive position sensing, a force=20 feedback coil, and a triangular leaf spring to give about a 2-Hz mechanical period. It=20 has remote centering with a gearmotor, and a manual mass clamp for shipping. The sensor has a cable coming out the bottom with a 10-pin MS connector on the end, and three pointed feet. The sensor part looks pretty straightforward, and I'm tracing the amp=20 circuit (this will take a while). =20 This unit doesn't appear to be on Guralp's website. =20 =20 Anyone have any idea what I have here? I can take some pictures if it'll help. Anyone gotten obsolete information out of Guralp before? =20 Thanks, Jack =20----- Original Message -----From:=20 ChrisAtUpw@.......Sent: Saturday, May 02, 2009 = 4:10=20 PMSubject: Re: English Channel = swarmIn a message dated 02/05/2009, tchannel@............ = writes:If so=20 can you tell where we could download the data files?
Thanks, Ted=20 ChannelHi Ted,You can get broad band drumplots for the = last 10=20 days at http://www= ..earthquakes.bgs.ac.uk/helicorder/heli.html but=20 I don't see much which looks significant. The nearest station is = JSA in=20 the Channel Islands. I would expect local events to show up on = the 3 to=20 8 second short period traces. Note that these are VERY small quakes! =Regards,Chris=20 Chapman
Folks,
I've come into possession of a late =
80's
vintage Guralp vertical force feedback =
seismo.
Unfortunately, it has no model
information. It has a 3"x9" (waterproof-ish but not =
borehole-
ready) cylindrical sensor with very =
nice
brass workings inside. There is also an =
amplifier
package in an aluminum =
cylinder. It
appears to use capacitive position sensing, a force =
feedback coil, and a triangular =
leaf
spring to give about a 2-Hz mechanical period. It =
has remote centering with a =
gearmotor, and
a manual mass clamp for shipping. The
sensor has a cable coming out the =
bottom
with a 10-pin MS connector on the end, and
three pointed feet. The =
sensor part
looks pretty straightforward, and I'm tracing the amp =
circuit (this will take a =
while).
This unit doesn't appear to be on =
Guralp's
website.
Anyone have any idea what I have =
here?
I can take some pictures if it'll help. =
Anyone
gotten obsolete information out of =
Guralp
before?
Thanks,
Jack
Folks,Subject: Re: English Channel swarm From: Tangazazen@....... Date: Sun, 3 May 2009 05:09:49 EDT Hi Marchal, These earthquake are very small in magnitude, may be the depth estimate is suspect. I remember that it was difficult to determine the nature of the North Korean so called atomic bomb test. There was also an article in the Scientific American a while ago about the detection of under ground nuclear explosions and apparently a false alarm was created by a mine collapsing. Unfortunately the urban noise at my site is too high to distinguish these latest English channel events. Regards Martin
I've come into possession of a late 80's vintage Guralp vertical force feedback seismo.
Unfortunately, it has no model information. It has a 3"x9" (waterproof-ish but not borehole-
ready) cylindrical sensor with very nice brass workings inside. There is also an amplifier
package in an aluminum cylinder. It appears to use capacitive position sensing, a force
feedback coil, and a triangular leaf spring to give about a 2-Hz mechanical period. It
has remote centering with a gearmotor, and a manual mass clamp for shipping. The
sensor has a cable coming out the bottom with a 10-pin MS connector on the end, and
three pointed feet. The sensor part looks pretty straightforward, and I'm tracing the amp
circuit (this will take a while).
This unit doesn't appear to be on Guralp's website.
Anyone have any idea what I have here? I can take some pictures if it'll help. Anyone
gotten obsolete information out of Guralp before?
Thanks,
Jack
Dave,
That looks very similar to what I =
have –
probably a slightly newer or older model.
Thanks for the =
tip!
Jack
From:
psn-l-request@.............. [mailto:psn-l-request@............... =
On Behalf Of Dave Nelson
Sent: Saturday, May 02, =
2009 11:26
PM
To: =
psn-l@..............
Subject: Re: Guralp =
seismo
Greetings Jack,
=
When I
visited the USGS.NEIC HQ in Golden,
John McMillan whas the lab tech that showed us lots of wonderful =
gear
amongst that were the Gulrap Horiz and Vert seismo's
www.sydneystormcity.com/Guralp_CMG-V30_horiz_seismom1.JP=
G
www.sydneystormcity.com/Guralp_CMG-V30_vert_seismom1.JPG=
maybe the same as you have acquired :) I dont =
know if
John is still there
but a phone call to there may get you some data sheets anyway
see how you go
Dave Nelson
At 10:23 PM 5/2/2009 -0400, you wrote:
Folks,
I've come into possession of a late 80's vintage Guralp vertical force =
feedback
seismo.
Unfortunately, it has no model information. It has a =
3"x9"
(waterproof-ish but not borehole-
ready) cylindrical sensor with very nice brass workings inside. =
There is
also an amplifier
package in an aluminum cylinder. It appears to use capacitive =
position
sensing, a force
feedback coil, and a triangular leaf spring to give about a 2-Hz =
mechanical
period. It
has remote centering with a gearmotor, and a manual mass clamp for
shipping. The
sensor has a cable coming out the bottom with a 10-pin MS connector on =
the end,
and
three pointed feet. The sensor part looks pretty straightforward, =
and I'm
tracing the amp
circuit (this will take a while).
This unit doesn't appear to be on Guralp's website.
Anyone have any idea what I have here? I can =
take some
pictures if it'll help. Anyone
gotten obsolete information out of Guralp before?
Thanks,
Jack
Subject: Re: New Lehman seismometer pivots From: =?ISO-8859-1?Q?J=F3n_Fr=EDmann?= jonfr@......... Date: Mon, 04 May 2009 19:24:43 +0000 Hi all The reason for having the coil on the boom is noise related. This setting appearly elimiates the extra noise if the magnet is on the boom. Here are new pictures of latest changes to my lehman seismomter. http://www.jonfr.com/myndir/v/geology/lehman/p5040001.jpg.html http://www.jonfr.com/myndir/v/geology/lehman/p5040003.jpg.html Regards. J=F3n Fr=EDmann. On lau, 2009-05-02 at 06:17 -0700, Robert O. Green wrote: > Dave, >=20 > Is there are reason to have the coil on the boom? Wouldn't these issues=20 > be eliminated if the coil was on the base plate and the magnet was on=20 > the boom? >=20 > Rob >=20 >=20 > Dave Nelson wrote: > > Jon, > > As I told you several weeks ago and Bob McClure said within=20 > > the last > > couple of days ..... > > *"DO SOMETHING ABOUT THE WIRE LEAD TO THE COIL!!! *You cannot just > > leave it hanging loose from the boom. Cut it near the lower pivot, > > secure it to the boom, and join it with coils of fine copper wire to > > terminals on the frame. The terminals should be located as near to the > > lower pivot as possible." > > > > Jon.... You *MUST* do this you, will *NEVER* achieve long period, free=20 > > motion of the > > arm until you get this sorted out. It is absolutely essential to get=20 > > rid of that huge > > thick cable coming off the pivot end of the boom, it will be totally=20 > > destroying any > > attempt you make to try to get any decent sort of period from the=20 > > seismometer. > > Until you change that, almost anything else you do to the unit will be=20 > > worthless. > > see how it is done on this commercial long period seismo that I and=20 > > others are/have used ..... www.sydneystormcity.com/990605-013a.jpg=20 > >----- Original Message -----From:=20 tchannelSent: Sunday, May 03, 2009 = 12:38 AMSubject: Re: English Channel = swarmThank You Chris,Ted----- Original Message -----From:=20 ChrisAtUpw@.......Sent: Saturday, May 02, 2009 = 4:10=20 PMSubject: Re: English Channel=20 swarmIn a message dated 02/05/2009, tchannel@............ = writes:If=20 so can you tell where we could download the data files?
Thanks, = Ted=20 ChannelHi Ted,You can get broad band drumplots for = the last=20 10 days at http://www= ..earthquakes.bgs.ac.uk/helicorder/heli.html but=20 I don't see much which looks significant. The nearest station is = JSA in=20 the Channel Islands. I would expect local events to show up on = the 3=20 to 8 second short period traces. Note that these are VERY small = quakes!=20Regards,Chris=20 Chapman
Hi Folks, I have a question about = a .psn file or .sac. Is there anyway to edit an unwanted = spike from a data file. I had a .psn the other day, that = looked very nice except for a large noise spike at the = beginning.This noise = was just someone walking around, or a door opening = etc.It = would have nice to be able to edit that out and save the change. I know = you can filter these out to some degree, but is there a way to cut them = out like one would do with a .wav file, using a sound file = editor?Thanks, = Ted
Hi Folks, I have a question= about a .psn file or .sac. Is there anyway to edit an unwanted spike from a data= file. I had a .psn the other day, that looked very nice except for a large noi= se spike at the beginning.This noise was just someone walking aro= und, or a door opening etc.
Subject: Re: Question From: "tchannel" tchannel@............ Date: Tue, 5 May 2009 18:30:30 -0600 Hi Folks, Thanks for several ideas. I am using AmaSeis on one machine = and WinSDR on the others, so I though I would try these various ideas on = both. I found one simple way to remove a single spike. It was pointed out I = could save the winquake file as a .txt, open it in a word editing = program, look for the offending spike, now as numbers and replace them = with zero, or use adjacent numbers. Here is an example, I had a nice .psn file, 3/4 of the way through it I had a large spike, = obvious just a spike of noise. I saved the .psn as a .txt, opened it in = Word. Now I have a list of 2500 numbers, I scrolled down the list of = number until I was about 3/4 of the way down. In that area I saw = numbers in the 10 -20 30 -40 small numbers like that. In this area I = found three or four numbers in the 100's. These were the spike, I = replaced all four numbers with zeros, save the file. Reopened it in = Winquake and the spike was gone. This may not the best way to do it, perhaps, but it was very simple, and = it worked on those one or two offending spikes. Thanks, Ted ----- Original Message -----=20 From: Dale Hardy=20 To: psn-l@................. Sent: Tuesday, May 05, 2009 5:29 PM Subject: Re: Question Hi Ted, If you are using WinSDR you can use File> Replay=20 select the channel and time including the time span click Start> in the replayed window click a point after after your 'glitch' and File> Zero Data Then repeat the process of Replay> select the----- Original Message -----From:=20 tchannelTo: psnSent: Wednesday, May 06, 2009 = 3:26=20 AMSubject: QuestionHi Folks, I have a = question about a=20 .psn file or .sac. Is there anyway to edit an unwanted = spike from=20 a data file. I had a .psn the other day, that looked very = nice=20 except for a large noise spike at the beginning.This noise was just someone walking = around, or a=20 door opening etc.It would have nice to be able to edit = that out=20 and save the change. I know you can filter these out to some degree, = but is=20 there a way to cut them out like one would do with a .wav file, using = a sound=20 file editor?Thanks, Ted
No virus found in this incoming message.
Checked by AVG = -=20 www.avg.com
Version: 8.5.287 / Virus Database: 270.12.18/2096 - = Release=20 Date: 05/04/09 17:51:00
Subject: Re: Lehman damping From: Robert McClure bobmcclure90@......... Date: Wed, 6 May 2009 16:20:24 -0400 Hi J=F3n I advised you to rotate the damping vane 90 degrees. I said nothing about the magnet. It is difficult to make anything clear to you, especially without pictures, but I will try. I assume that you are using a four-pole magnet assembly, having two steel plates and a pair of side-by-side Neodymium block magnets of opposite polarity on each plate. The steel plates are held apart with bolts so that an air gap exists between the pair of magnets on the top plate and the pair on the bottom plates. The plates are oriented in the direction that gives strong attraction accross the gap. The "cracks" between the pairs of block magnets should always be perpendicular to the direction of motion of the damping vane. The damping vane should be made of thick copper sheet (or a stack of thinner sheets) and rectangular in shape. Its width should be appreciably greater than the width spanned by the magnet field generated in the magnet assembly. The vane should be mounted below the boom, with its long dimension parallel to the boom. The amount of damping achieved by the penetration of the vane into the magnet gap is then controlled by the longitudinal position of the magnet. Less damping is achieved by moving the magnet so that it covers less of the vane. Maximum damping occurs when the vane penetrates the entire gap. When you set up the vane to enter the magnet assembly from the side rather than from an end, you do not have the ability to adjust damping because the damping is then a nonlinear function of depth of penetration into the magnet. Never use such a configuration. You could always elect to mount the damping vane perpendicular to the boom, with the long dimension vertical. In this case, the magnet and its "cracks" are vertical, and the magnet assembly is moved up-and-down to adjust damping. The reason for making the vane wider than the field is this: pure copper is slightly diamagnetic, and impure copper can even be paramagnetic. Aluminum can be used, but it is paramagnetic. A narrow vane is thus subject to magnetic forces from fringe fields inside the magnet. Making the vane wider than the fringe fields keeps the edges of the vane outside the fringe fields and minimizes such forces. Bob On 5/5/09, J=F3n Fr=EDmann----- Original Message -----From:=20 Dale Hardy=20Sent: Tuesday, May 05, 2009 = 5:29 PMSubject: Re: QuestionHi Ted,If you are using WinSDR you can = useFile> Replayselect the channel and time including = the time=20 spanclick Start>in the replayed window click a = point after=20 after your 'glitch' andFile> Zero DataThen repeat the process of = Replay> select=20 the <Save Event> window and open Winquakedoes that help ?----- Original Message -----From:=20 tchannelTo: psnSent: Wednesday, May 06, 2009 = 3:26=20 AMSubject: QuestionHi Folks, I have a = question about a=20 .psn file or .sac. Is there anyway to edit an unwanted = spike=20 from a data file. I had a .psn the other day, that = looked very=20 nice except for a large noise spike at the beginning.This noise was just someone walking = around, or=20 a door opening etc.It would have nice to be able to = edit that out=20 and save the change. I know you can filter these out to some degree, = but is=20 there a way to cut them out like one would do with a .wav file, = using a=20 sound file editor?Thanks, Ted
No virus found in this incoming message.
Checked by = AVG -=20 www.avg.com
Version: 8.5.287 / Virus Database: 270.12.18/2096 - = Release=20 Date: 05/04/09 17:51:00
| Hi Audacity also has a way to zero between or before/after selected points of a wave file. Barry. --- On Tue, 5/5/09, rbenitez@........ <rbenitez@........> wrote: From: rbenitez@........ <rbenitez@........> |
But the arm that I was trying to use always fell off because of it's weight. So= I switched to the aluminum one. Using that arm now gives me 5 seconds easi= ly and a clear signal.
However, the signal is at interestingly narrow band,= I am unsure why that is.
Jon,
I found it very confusing when setting =
the period for my seismograph, and for a
long time took the period to be the time it takes the arm to swing fro=
m one side to the
other.( I could never get much more than 10 seconds)!!.
But apparently I am wrong, The period is the time it takes for t=
he arm to swing
past the same point in the same direction twice. =
So if you hold the arm towards you
and let it go, as it passes the centre, start a stopwatch, then =
let the arm go to the other side,
then back towards you , and as it passes the centre again press stop. =
This is the period.
Anyone please correct me if I am wrong. !!.
&nbs=
p; &=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; James
--- On Fri, 8/5/09, J=F3n Fr=EDmann <jonfr@j= onfr.com> wrote: From: J=F3n Fr=EDmann <jonfr@.........> |
No need your correct. There are a few other tricks you =
can add.
I pull the are back with a light cotton string or even thread and then =
let go
of one end and pull it out of the way. In this way you don’t add =
any
additional energy or vibration. The second method works well when the =
box is
sealed and you want to check the period. With the D/A recording walk up =
to the
device and stand there for 20-30 seconds and then step back a couple of =
yards.
This is the WUWA test others’ have talked about on this list. Walk =
Up Walk
Away. This send most Lehman’s in motion and allows the operator a =
method
for checking to see f the device is operational and what the dampened =
period
is. =A0This might also help. I have pasted a chart below and if you =
email me I’ll
send you the excel version. This is the natural period table I made from =
a
calculation I think came from Shan a longtime ago. =A0The heading is in =
the upper
section and ran from A1 to W1. The 100 second line ran from C1 to W1 and =
so on.
I use the chart to determine how much tilt is set on my device when I =
adjust
the period. I have a 30-in boom length on my Lehman and =A0normally =
setup a 12-14
second period which means the angle on the boom is between .25 to =A0.5 =
degrees.
Regards, Steve Hammond PSN San Jose, Aptos CA. =
http://www.PublicSeismicNetw=
ork.com
Boom length=A0=A0=A0=A0=A0 Natural period @ .05 =
degree=A0=A0=A0=A0=A0=A0 Natural
Period @ .1 degree=A0=A0=A0=A0=A0=A0=A0=A0 Natural Period @ .25 =
degree=A0=A0=A0=A0=A0=A0 Natural Period @
..5 degree=A0=A0=A0=A0=A0=A0=A0=A0 Natural Period @ .75 =
degree=A0=A0=A0=A0=A0=A0 Natural Period @ 1 =
degree=A0=A0=A0=A0=A0=A0=A0=A0=A0 Natural
Period @ 2 degree=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 Natural =
Period @ 3 degree=A0=A0=A0=A0=A0=A0=A0=A0=A0 Natural
Period @ 4 degree=A0=A0=A0=A0=A0=A0=A0=A0=A0 Natural Period @ 5 =
degree=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
2*pi=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 980CM/sec^2=A0=A0=A0 =
..05
degree sine .1 degree sign=A0=A0=A0 .25 sine .5 sine=A0=A0 .75 degree =
sine 1 degree sine =A0=A0=A0 2
degree sine=A0=A0=A0=A0 3 degree sine=A0=A0=A0=A0=A0=A0=A0 4 degree =
sine=A0=A0=A0=A0 5 degree sine
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=
=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0
100=A0=A0=A0=A0=A0=A0=A0=A0 67.943=A0=A0 48.043=A0=A0 =
30.385=A0=A0 21.486=A0=A0 17.543=A0=A0 15.193=A0=A0 10.744=A0=A0 =
8.773=A0=A0=A0=A0 7.599=A0=A0=A0=A0 6.799=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
99=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 67.602=A0=A0 =
47.802=A0=A0 30.233=A0=A0 21.378=A0=A0 17.455=A0=A0 15.117=A0=A0 =
10.690=A0=A0 8.729=A0=A0=A0=A0 7.561=A0=A0=A0=A0 6.765=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
98=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 67.260=A0=A0 =
47.560=A0=A0 30.080=A0=A0 21.270=A0=A0 17.367=A0=A0 15.040=A0=A0 =
10.636=A0=A0 8.685=A0=A0=A0=A0 7.523=A0=A0=A0=A0 6.730=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
97=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 66.916=A0=A0 =
47.317=A0=A0 29.926=A0=A0 21.161=A0=A0 17.278=A0=A0 14.963=A0=A0 =
10.581=A0=A0 8.641=A0=A0=A0=A0 7.484=A0=A0=A0=A0 6.696=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
96=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 66.570=A0=A0 =
47.072=A0=A0 29.771=A0=A0 21.051=A0=A0 17.189=A0=A0 14.886=A0=A0 =
10.527=A0=A0 8.596=A0=A0=A0=A0 7.446=A0=A0=A0=A0 6.661=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
95=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 66.222=A0=A0 =
46.826=A0=A0 29.616=A0=A0 20.941=A0=A0 17.099=A0=A0 14.808=A0=A0 =
10.472=A0=A0 8.551=A0=A0=A0=A0 7.407=A0=A0=A0=A0 6.626=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
94=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 65.873=A0=A0 =
46.579=A0=A0 29.459=A0=A0 20.831=A0=A0 17.009=A0=A0 14.730=A0=A0 =
10.416=A0=A0 8.506=A0=A0=A0=A0 7.368=A0=A0=A0=A0 6.591=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
93=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 65.522=A0=A0 =
46.331=A0=A0 29.302=A0=A0 20.720=A0=A0 16.918=A0=A0 14.651=A0=A0 =
10.361=A0=A0 8.461=A0=A0=A0=A0 7.329=A0=A0=A0=A0 6.556=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
92=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 65.168=A0=A0 =
46.081=A0=A0 29.144=A0=A0 20.608=A0=A0 16.827=A0=A0 14.572=A0=A0 =
10.305=A0=A0 8.415=A0=A0=A0=A0 7.289=A0=A0=A0=A0 6.521=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
91=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 64.813=A0=A0 =
45.830=A0=A0 28.985=A0=A0 20.496=A0=A0 16.735=A0=A0 14.493=A0=A0 =
10.249=A0=A0 8.369=A0=A0=A0=A0 7.249=A0=A0=A0=A0 6.485=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
90=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 64.456=A0=A0 =
45.577=A0=A0 28.826=A0=A0 20.383=A0=A0 16.643=A0=A0 14.413=A0=A0 =
10.192=A0=A0 8.323=A0=A0=A0=A0 7.209=A0=A0=A0=A0 6.450=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
89=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 64.097=A0=A0 =
45.323=A0=A0 28.665=A0=A0 20.269=A0=A0 16.550=A0=A0 14.333=A0=A0 =
10.136=A0=A0 8.277=A0=A0=A0=A0 7.169=A0=A0=A0=A0 6.414=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
88=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 63.736=A0=A0 =
45.068=A0=A0 28.504=A0=A0 20.155=A0=A0 16.457=A0=A0 14.252=A0=A0 =
10.079=A0=A0 8.230=A0=A0=A0=A0 7.129=A0=A0=A0=A0 6.378=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
87=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 63.373=A0=A0 =
44.811=A0=A0 28.341=A0=A0 20.040=A0=A0 16.363=A0=A0 14.171=A0=A0 =
10.021=A0=A0 8.183=A0=A0=A0=A0 7.088=A0=A0=A0=A0 6.341=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
86=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 63.008=A0=A0 =
44.553=A0=A0 28.178=A0=A0 19.925=A0=A0 16.269=A0=A0 14.089=A0=A0 =
9.963=A0=A0=A0=A0 8.136=A0=A0=A0=A0 7.047=A0=A0=A0=A0 6.305=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
85=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 62.640=A0=A0 =
44.293=A0=A0 28.014=A0=A0 19.809=A0=A0 16.174=A0=A0 14.007=A0=A0 =
9.905=A0=A0=A0=A0 8.089=A0=A0=A0=A0 7.006=A0=A0=A0=A0 6.268=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
84=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 62.271=A0=A0 =
44.032=A0=A0 27.848=A0=A0 19.692=A0=A0 16.078=A0=A0 13.924=A0=A0 =
9.847=A0=A0=A0=A0 8.041=A0=A0=A0=A0 6.965=A0=A0=A0=A0 6.231=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
83=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 61.899=A0=A0 =
43.769=A0=A0 27.682=A0=A0 19.574=A0=A0 15.982=A0=A0 13.841=A0=A0 =
9.788=A0=A0=A0=A0 7.993=A0=A0=A0=A0 6.923=A0=A0=A0=A0 6.194=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
82=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 61.525=A0=A0 =
43.505=A0=A0 27.515=A0=A0 19.456=A0=A0 15.886=A0=A0 13.758=A0=A0 =
9.729=A0=A0=A0=A0 7.945=A0=A0=A0=A0 6.881=A0=A0=A0=A0 6.156=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
81=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 61.148=A0=A0 =
43.239=A0=A0 27.346=A0=A0 19.337=A0=A0 15.789=A0=A0 13.674=A0=A0 =
9.669=A0=A0=A0=A0 7.896=A0=A0=A0=A0 6.839=A0=A0=A0=A0 6.119=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
80=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 60.770=A0=A0 =
42.971=A0=A0 27.177=A0=A0 19.217=A0=A0 15.691=A0=A0 13.589=A0=A0 =
9.610=A0=A0=A0=A0 7.847=A0=A0=A0=A0 6.797=A0=A0=A0=A0 6.081=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
79=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 60.389=A0=A0 =
42.701=A0=A0 27.007=A0=A0 19.097=A0=A0 15.593=A0=A0 13.504=A0=A0 =
9.549=A0=A0=A0=A0 7.798=A0=A0=A0=A0 6.754=A0=A0=A0=A0 6.043=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
78=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 60.005=A0=A0 =
42.430=A0=A0 26.835=A0=A0 18.975=A0=A0 15.494=A0=A0 13.418=A0=A0 =
9.489=A0=A0=A0=A0 7.748=A0=A0=A0=A0 6.712=A0=A0=A0=A0 6.004=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
77=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 59.620=A0=A0 =
42.157=A0=A0 26.663=A0=A0 18.853=A0=A0 15.394=A0=A0 13.332=A0=A0 =
9.428=A0=A0=A0=A0 7.699=A0=A0=A0=A0 6.668=A0=A0=A0=A0 5.966=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
76=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 59.231=A0=A0 =
41.883=A0=A0 26.489=A0=A0 18.731=A0=A0 15.294=A0=A0 13.245=A0=A0 =
9.366=A0=A0=A0=A0 7.648=A0=A0=A0=A0 6.625=A0=A0=A0=A0 5.927=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
75=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 58.840=A0=A0 =
41.606=A0=A0 26.314=A0=A0 18.607=A0=A0 15.193=A0=A0 13.157=A0=A0 =
9.304=A0=A0=A0=A0 7.598=A0=A0=A0=A0 6.581=A0=A0=A0=A0 5.888=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
74=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 58.447=A0=A0 =
41.328=A0=A0 26.138=A0=A0 18.483=A0=A0 15.091=A0=A0 13.069=A0=A0 =
9.242=A0=A0=A0=A0 7.547=A0=A0=A0=A0 6.537=A0=A0=A0=A0 5.848=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
73=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 58.050=A0=A0 =
41.048=A0=A0 25.961=A0=A0 18.357=A0=A0 14.989=A0=A0 12.981=A0=A0 =
9.179=A0=A0=A0=A0 7.496=A0=A0=A0=A0 6.493=A0=A0=A0=A0 5.809=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
72=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 57.651=A0=A0 =
40.766=A0=A0 25.783=A0=A0 18.231=A0=A0 14.886=A0=A0 12.892=A0=A0 =
9.116=A0=A0=A0=A0 7.444=A0=A0=A0=A0 6.448=A0=A0=A0=A0 5.769=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
71=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 57.250=A0=A0 =
40.482=A0=A0 25.603=A0=A0 18.104=A0=A0 14.782=A0=A0 12.802=A0=A0 =
9.053=A0=A0=A0=A0 7.393=A0=A0=A0=A0 6.403=A0=A0=A0=A0 5.729=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
70=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 56.845=A0=A0 =
40.195=A0=A0 25.422=A0=A0 17.976=A0=A0 14.678=A0=A0 12.711=A0=A0 =
8.989=A0=A0=A0=A0 7.340=A0=A0=A0=A0 6.358=A0=A0=A0=A0 5.688=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
69=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 56.437=A0=A0 =
39.907=A0=A0 25.240=A0=A0 17.847=A0=A0 14.572=A0=A0 12.620=A0=A0 =
8.924=A0=A0=A0=A0 7.288=A0=A0=A0=A0 6.312=A0=A0=A0=A0 5.647=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
68=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 56.027=A0=A0 =
39.617=A0=A0 25.056=A0=A0 17.717=A0=A0 14.466=A0=A0 12.528=A0=A0 =
8.860=A0=A0=A0=A0 7.235=A0=A0=A0=A0 6.267=A0=A0=A0=A0 5.606=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
67=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 55.614=A0=A0 =
39.325=A0=A0 24.871=A0=A0 17.587=A0=A0 14.360=A0=A0 12.436=A0=A0 =
8.794=A0=A0=A0=A0 7.181=A0=A0=A0=A0 6.220=A0=A0=A0=A0 5.565=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
66=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 55.197=A0=A0 =
39.030=A0=A0 24.685=A0=A0 17.455=A0=A0 14.252=A0=A0 12.343=A0=A0 =
8.728=A0=A0=A0=A0 7.128=A0=A0=A0=A0 6.174=A0=A0=A0=A0 5.523=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
65=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 54.777=A0=A0 =
38.733=A0=A0 24.497=A0=A0 17.322=A0=A0 14.144=A0=A0 12.249=A0=A0 =
8.662=A0=A0=A0=A0 7.073=A0=A0=A0=A0 6.127=A0=A0=A0=A0 5.481=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
64=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 54.354=A0=A0 =
38.434=A0=A0 24.308=A0=A0 17.188=A0=A0 14.034=A0=A0 12.154=A0=A0 =
8.595=A0=A0=A0=A0 7.019=A0=A0=A0=A0 6.079=A0=A0=A0=A0 5.439=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
63=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 53.928=A0=A0 =
38.133=A0=A0 24.117=A0=A0 17.054=A0=A0 13.924=A0=A0 12.059=A0=A0 =
8.528=A0=A0=A0=A0 6.964=A0=A0=A0=A0 6.032=A0=A0=A0=A0 5.396=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
62=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 53.498=A0=A0 =
37.829=A0=A0 23.925=A0=A0 16.918=A0=A0 13.813=A0=A0 11.963=A0=A0 =
8.460=A0=A0=A0=A0 6.908=A0=A0=A0=A0 5.984=A0=A0=A0=A0 5.353=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
61=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 53.065=A0=A0 =
37.523=A0=A0 23.731=A0=A0 16.781=A0=A0 13.702=A0=A0 11.866=A0=A0 =
8.391=A0=A0=A0=A0 6.852=A0=A0=A0=A0 5.935=A0=A0=A0=A0 5.310=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
60=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 52.628=A0=A0 =
37.214=A0=A0 23.536=A0=A0 16.643=A0=A0 13.589=A0=A0 11.768=A0=A0 =
8.322=A0=A0=A0=A0 6.796=A0=A0=A0=A0 5.886=A0=A0=A0=A0 5.266=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
59=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 52.188=A0=A0 =
36.902=A0=A0 23.339=A0=A0 16.503=A0=A0 13.475=A0=A0 11.670=A0=A0 =
8.252=A0=A0=A0=A0 6.739=A0=A0=A0=A0 5.837=A0=A0=A0=A0 5.222=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
58=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 51.744=A0=A0 =
36.588=A0=A0 23.141=A0=A0 16.363=A0=A0 13.360=A0=A0 11.571=A0=A0 =
8.182=A0=A0=A0=A0 6.682=A0=A0=A0=A0 5.787=A0=A0=A0=A0 5.178=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
57=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 51.296=A0=A0 =
36.272=A0=A0 22.940=A0=A0 16.221=A0=A0 13.245=A0=A0 11.470=A0=A0 =
8.111=A0=A0=A0=A0 6.624=A0=A0=A0=A0 5.737=A0=A0=A0=A0 5.133=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
56=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 50.844=A0=A0 =
35.952=A0=A0 22.738=A0=A0 16.078=A0=A0 13.128=A0=A0 11.369=A0=A0 =
8.040=A0=A0=A0=A0 6.565=A0=A0=A0=A0 5.687=A0=A0=A0=A0 5.088=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
55=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 50.388=A0=A0 =
35.629=A0=A0 22.534=A0=A0 15.934=A0=A0 13.010=A0=A0 11.267=A0=A0 =
7.968=A0=A0=A0=A0 6.507=A0=A0=A0=A0 5.636=A0=A0=A0=A0 5.042=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
54=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 49.928=A0=A0 =
35.304=A0=A0 22.328=A0=A0 15.789=A0=A0 12.891=A0=A0 11.164=A0=A0 =
7.895=A0=A0=A0=A0 6.447=A0=A0=A0=A0 5.584=A0=A0=A0=A0 4.996=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
53=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 49.463=A0=A0 =
34.976=A0=A0 22.121=A0=A0 15.642=A0=A0 12.771=A0=A0 11.061=A0=A0 =
7.822=A0=A0=A0=A0 6.387=A0=A0=A0=A0 5.532=A0=A0=A0=A0 4.949=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
52=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 48.994=A0=A0 =
34.644=A0=A0 21.911=A0=A0 15.493=A0=A0 12.650=A0=A0 10.956=A0=A0 =
7.747=A0=A0=A0=A0 6.327=A0=A0=A0=A0 5.480=A0=A0=A0=A0 4.903=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
51=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 48.521=A0=A0 =
34.309=A0=A0 21.699=A0=A0 15.344=A0=A0 12.528=A0=A0 10.850=A0=A0 =
7.673=A0=A0=A0=A0 6.265=A0=A0=A0=A0 5.427=A0=A0=A0=A0 4.855=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
50=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 48.043=A0=A0 =
33.971=A0=A0 21.485=A0=A0 15.193=A0=A0 12.405=A0=A0 10.743=A0=A0 =
7.597=A0=A0=A0=A0 6.204=A0=A0=A0=A0 5.374=A0=A0=A0=A0 4.807=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
49=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 47.560=A0=A0 =
33.630=A0=A0 21.269=A0=A0 15.040=A0=A0 12.280=A0=A0 10.635=A0=A0 =
7.521=A0=A0=A0=A0 6.141=A0=A0=A0=A0 5.320=A0=A0=A0=A0 4.759=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
48=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 47.072=A0=A0 =
33.285=A0=A0 21.051=A0=A0 14.886=A0=A0 12.154=A0=A0 10.526=A0=A0 =
7.444=A0=A0=A0=A0 6.078=A0=A0=A0=A0 5.265=A0=A0=A0=A0 4.710=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
47=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 46.579=A0=A0 =
32.936=A0=A0 20.831=A0=A0 14.730=A0=A0 12.027=A0=A0 10.416=A0=A0 =
7.366=A0=A0=A0=A0 6.015=A0=A0=A0=A0 5.210=A0=A0=A0=A0 4.661=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
46=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 46.081=A0=A0 =
32.584=A0=A0 20.608=A0=A0 14.572=A0=A0 11.898=A0=A0 10.304=A0=A0 =
7.287=A0=A0=A0=A0 5.950=A0=A0=A0=A0 5.154=A0=A0=A0=A0 4.611=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
45=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 45.577=A0=A0 =
32.228=A0=A0 20.383=A0=A0 14.413=A0=A0 11.768=A0=A0 10.192=A0=A0 =
7.207=A0=A0=A0=A0 5.885=A0=A0=A0=A0 5.098=A0=A0=A0=A0 4.561=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
44=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 45.068=A0=A0 =
31.868=A0=A0 20.155=A0=A0 14.252=A0=A0 11.637=A0=A0 10.078=A0=A0 =
7.127=A0=A0=A0=A0 5.820=A0=A0=A0=A0 5.041=A0=A0=A0=A0 4.510=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
43=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 44.553=A0=A0 =
31.504=A0=A0 19.925=A0=A0 14.089=A0=A0 11.504=A0=A0 9.963=A0=A0=A0=A0 =
7.045=A0=A0=A0=A0 5.753=A0=A0=A0=A0 4.983=A0=A0=A0=A0 4.458=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
42=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 44.032=A0=A0 =
31.135=A0=A0 19.692=A0=A0 13.924=A0=A0 11.369=A0=A0 9.846=A0=A0=A0=A0 =
6.963=A0=A0=A0=A0 5.686=A0=A0=A0=A0 4.925=A0=A0=A0=A0 4.406=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
41=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 43.505=A0=A0 =
30.762=A0=A0 19.456=A0=A0 13.757=A0=A0 11.233=A0=A0 9.728=A0=A0=A0=A0 =
6.879=A0=A0=A0=A0 5.618=A0=A0=A0=A0 4.866=A0=A0=A0=A0 4.353=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
40=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 42.971=A0=A0 =
30.385=A0=A0 19.217=A0=A0 13.589=A0=A0 11.095=A0=A0 9.609=A0=A0=A0=A0 =
6.795=A0=A0=A0=A0 5.549=A0=A0=A0=A0 4.806=A0=A0=A0=A0 4.300=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
39=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 42.430=A0=A0 =
30.003=A0=A0 18.975=A0=A0 13.418=A0=A0 10.956=A0=A0 9.488=A0=A0=A0=A0 =
6.709=A0=A0=A0=A0 5.479=A0=A0=A0=A0 4.746=A0=A0=A0=A0 4.246=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
38=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 41.883=A0=A0 =
29.616=A0=A0 18.731=A0=A0 13.245=A0=A0 10.814=A0=A0 9.366=A0=A0=A0=A0 =
6.623=A0=A0=A0=A0 5.408=A0=A0=A0=A0 4.685=A0=A0=A0=A0 4.191=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
37=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 41.328=A0=A0 =
29.223=A0=A0 18.482=A0=A0 13.069=A0=A0 10.671=A0=A0 9.241=A0=A0=A0=A0 =
6.535=A0=A0=A0=A0 5.337=A0=A0=A0=A0 4.622=A0=A0=A0=A0 4.135=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
36=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 40.766=A0=A0 =
28.826=A0=A0 18.231=A0=A0 12.891=A0=A0 10.526=A0=A0 9.116=A0=A0=A0=A0 =
6.446=A0=A0=A0=A0 5.264=A0=A0=A0=A0 4.560=A0=A0=A0=A0 4.079=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
35=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 40.195=A0=A0 =
28.423=A0=A0 17.976=A0=A0 12.711=A0=A0 10.379=A0=A0 8.988=A0=A0=A0=A0 =
6.356=A0=A0=A0=A0 5.190=A0=A0=A0=A0 4.496=A0=A0=A0=A0 4.022=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
34=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 39.617=A0=A0 =
28.014=A0=A0 17.717=A0=A0 12.528=A0=A0 10.229=A0=A0 8.859=A0=A0=A0=A0 =
6.265=A0=A0=A0=A0 5.116=A0=A0=A0=A0 4.431=A0=A0=A0=A0 3.964=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
33=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 39.030=A0=A0 =
27.598=A0=A0 17.455=A0=A0 12.342=A0=A0 10.078=A0=A0 8.728=A0=A0=A0=A0 =
6.172=A0=A0=A0=A0 5.040=A0=A0=A0=A0 4.365=A0=A0=A0=A0 3.905=A0=A0=A0=A0 =
6.283185307=A0=A0=A0=A0=A0=A0 980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
32=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 38.434=A0=A0 =
27.177=A0=A0 17.188=A0=A0 12.154=A0=A0 9.924=A0=A0=A0=A0 =
8.594=A0=A0=A0=A0 6.078=A0=A0=A0=A0 4.963=A0=A0=A0=A0 4.299=A0=A0=A0=A0 =
3.846=A0=A0=A0=A0 6.283185307=A0=A0=A0=A0=A0=A0 =
980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743
31=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 37.829=A0=A0 =
26.749=A0=A0 16.918=A0=A0 11.963=A0=A0 9.768=A0=A0=A0=A0 =
8.459=A0=A0=A0=A0 5.982=A0=A0=A0=A0 4.885=A0=A0=A0=A0 4.231=A0=A0=A0=A0 =
3.785=A0=A0=A0=A0 6.283185307=A0=A0=A0=A0=A0=A0 =
980=A0=A0=A0=A0=A0=A0=A0=A0 =
8.73E-04=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.001745328=A0=A0=A0=A0=A0=A0 0.004363309=A0=A0=A0=A0=A0=A0 =
0.008726535=A0=A0=A0=A0=A0=A0 0.013089596=A0=A0=A0=A0=A0=A0 =
0.017452406=A0=A0=A0=A0=A0=A0 0.034899497=A0=A0=A0=A0=A0=A0 =
0.052335956=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0=A0 =
0.069756474=A0=A0=A0=A0=A0=A0 0.087155743