LARP Rotatable Collimators for LHC Phase II Collimation26 October 2006LARP Collaboration Meeting Port Jefferson, NYTom Markiewicz/SLACRepresenting Eric Doyle, Lew Keller & Steve Lundgren

BNL - FNAL- LBNL - SLACUS LHC Accelerator Research Program

Collimator Design as of April 2006136mm diameter x 950 mm long copper jaws (750 mm effective length + 2 x 100mm tapers) Vacuum tank, jaw support mechanism and support base derived from CERN Phase I

Collimator Design as of April 2006EXTERNAL COIL PERMITS 1 REV OF JAWCERN PHASE I JAW POSITIONING MECHANISM USE IF POSSIBLE25mm thick annular (hollow core) copper jaw backed by continuous helical cooling tubeNLC Jaw Ratchet Mechanism assumedSheet Metal formed RF transition

Adjustable central aperture-defining stop and leaf spring support required to prevent jaws from deforming 1200um into beam

Stop prevents thermal bowing of jaws from intruding on minimum gap. Deal with:Residual swelling into beamExternal vertical actuator and bellows that also has +/- 5mm transverse floatMid-jaw recessForces possibly unbalanced front vs. backLeaf springs allow jaw end motion up to 1mm away from beam. Must allow:Thermal motion while minimizing gravity-deflectionAxial expansion

RF Contact Scheme Blessed by CERN Impedance Police

Exceeds 200 Max Cu tempPossible boilingExceeds 42 max water return tempExceeds Allowed DeflectionsAll temperature simulations based on 20C supply. For CERN 27C supply add 7 to all temperature results. CERN max water return temp 42CExceeds spec, or other possible problem as noted Baseline Jaw PerformanceBaseline: hollow Cu, 25mm wall, helical cooling - 5cm pitch

Collimator

TCSM.A6L7

Cooling scheme

Helical

Axial (36o)

Cooling

# channels

1

2

Diam (m)

.008

.006

Velocity (m/s)

3

3

Total flow (l/min)

9

10

Beam heat

SS

Power (kW)

11.7

Trans

Power (kW)

58.5

Temp (C )

SS

Jaw peak

86.5

91.5

Cooling chan. peak

68.3

69.7

Water out

36.0

36.1

Trans

Jaw peak

231

223

Cooling chan. peak

154

130

Water out

43.6

47

Deflection (um) 4

SS

394

107

Trans

1216

778

Eff. length (cm) 5

SS

43

75

Trans

24

31

Technical Review of Baseline 12-2005Do not cut metal until jaw support, stop and rotation scheme developedIncrease engineering effortResponseFull time engineer (Steve Lundgren) & full time designer hired April 2006Doyle, Keller, & Markiewicz continue on part time basisResultNew jaw design developed which eliminates central stop & flexible springsNew concept for winding the cooling coil which eliminates the 4 loops per end and permits longer jaw and better RF-compliant jaw supportNew scheme for rotating after beam abort damages surfaceTest pieces constructed & examinedBUTStill do not have tested full length jaw or complete RC1 prototype

Progress since April 2006 MeetingDesign & CalculationImproved and much more complete designANSYS calculations to simulate performance of new designANSYS calculations to start to look at permanent deformation in case of accidental beam abortFLUKA model improvements to understand heating/cooling in more elements (shaft, bearings, ) of the collimator

FabricationFab, brazing & dissection of short (15cm) section of jaw:cooling coil to mandrel and of coil/mandrel assembly to jawFabrication of short aluminum mandrel to practice coil winding & development of coil winding toolingFabrication of 2nd short (20cm) copper mandrel and jaw piecestest braze techniques required for longer jaw pieces

Advances since RC1 Baselinesolid coremore cooling

New Idea to Eliminate Central Stop Jaw-Hub-ShaftHub located, in Z, near peak temperature location, which lowers peak temperature, reducing gradient and bending.Max deflection toward beam reduced if the shaft deflection can be minimizedBoth ends of jaw deflect away from beam. (Note: swelling component of deflection is not corrected.)Cooling coils embedded in I.D. of outer cylinder.shaftjawhub

Evaluate jaw-hub-shaft for 950mm jawsw/ 22.5mm deep cooling tubes with hollow Moly shaftversus 750mm jaw baseline & 750mm jaw solid copper shaft refined baselineTransient 10sec @12min beamSS 1hr beamNotes:Deflection means deviation from straight (um).Eff length is length of jaw (m) deflected

First Concept to Eliminate 4-Loop Coils at Ends to allow increased jaw length and realistic jaw holder that is plug&play replacement for Phase I jawAnnealed pre-bent cooling coil and dead recon winding to put U-Bend at exact midpoint of mandrelModel of Coil Winding Test piece 200mm long x 86mm diameterLundren

Summary of New Baseline Configurationon 1 Sept 2006 ( slight mods since)Jaw consists of a tubular jaw with embedded cooling tubes, a concentric inner shaft joined by a hub located at mid-jawMajor thermal jaw deformation away from beamNo centrally located aperture-defining stopNo spring-mounted jaw end supportsJaw is a 950mm long faceted, 20 sided polygon of GlidcopShorter end taper: 15mm L at 15o (effective length 920mm) (now slightly shorter)Cooling tube is square 10mm Cu w/ 7mm square aperture at depth = 24.5 mmJaw is supported in holderjaw rotate-able within holderjaw/holder is plug-in replacement for Phase I jawNominal aperture setting of FIRST COLLIMATOR as low as 8.5 sResults in minimum aperture > 7s in transient 12 min beam lifetime event (interactions with first carbon primary TCPV)Absorbed power relatively insensitive to aperture: for 950mm long jaw p=12.7kW (7s), p=12.4kW (8.23s)Auto-retraction not available for some jaw orientationsJaw rotation by means of worm gear/ratchet mechanism Geneva Mechanism

Power Absorption in BOTH Copper Jaws of First Secondary Collimator TCSM.A6L7Lew Keller

Collimator Inefficiency when the TCSM.A6L7 collimator only is opened from 7 to 8 or 8.5 sigma for each beam and for each primary collimator orientationChiara Bracco / CERN

Contribution to inefficiency from each of several collimators as 1st secondary is opened from 7 to 8 sigma Chiara Bracco / CERN

Steps on Path to a Thermal Test of a Full Length Cooled Jaw: #1 Test PiecesBraze Test #1Wind any available 10mm x 10mm tubing on convenient sized and available copper stock for mandrel and jawsDevelop and document braze proceduresSection for braze inspection, document resultsCoil winding Procedure and hardwareDevelop procedure and tooling to wind available tubing on short 200mm length Aluminum mandrelTest 3-axis CNC milling procedure required to machine U-bend in cooling patternBraze Test #2Machine short 200mm copper mandrelWind annealed available tubing on copper mandrel and stake in place to holdBraze tubing to mandrelMachine OD and add groove to hold braze wireMachine 4 quarter 200mm jawsBraze with wire & foilSection for braze inspection, document results

BrazeTest #1

Aluminum Mandrel for Coil Winding Test and to test 3-axis CNC Mill before cutting 200mm and 950mm Copper Mandrels200mmCooling Tube aligner

Test Bends on Square Hollow Copper TubingPreliminary bends just to get some experience Initial test bend of Half Turn wound by hand

Attempts to Use Tooling for Bending Lathe Magnet Coil Winding Instrument

Development of Winding ToolingVise-TypeRoller-TypeAluminum Mandrel with Coil WoundTest Winding the 200mm Copper Mandrel

Fabrication of Quarter Jaws for 2nd Braze Test

Final Wind of 200mm Copper Mandrel

Update Cooling Coil Wind Concept Based on 200mm Wind TestsShifting the u-bend from the midpoint of the Mandrel to near the downstream end gives the following benefits:The groove in the u-bend area can be eliminated reducing the need for precise initial bend locations.The u-bend can be made larger in diameter to reduce the internal distortions in the cooling channel and improve water flow.The groove and relief can be machined on a lathe rather than on a CNC milling machine reducing the overall cost.ResultMandrel has a groove the appropriate width and depth for the conductor and goes 42.5 turns in the same direction. Mandrel has one 80mm wide groove at downstream end to accommodate the u-bend and a enough conductor wrap around about 1 turn (provides a generous allowance for errors in machining and bending locations). U-bend can be 20 to 30mm diameter not only 10mmLundgren

Model showing Coil wound on Mandrel with U-Bend at downstream endNote: Braze Test #3 will probably need to be added to step #1Fab 2nd 200mm mandrel on latheTest wind coil with downstream U-BendUnder discussion: use 8 quarter round jaw sections to make sure butt brazes pose no problem (as promised)

Steps on Path to a Thermal Test of a Full Length Cooled Jaw #2 Manufacture Full Length JawMachine 930mm mandrel with new winding patternMandrel had been released for fabrication with requested due date 10/27/06 Drawings for full length mandrel modified to put loop at end and resubmittedAcquire CERN-compliant (Nickel alloyed) copper tubing from FinlandBuild tooling using roller concept for full length jawShape & anneal tubingWind tubing to mandrelMachine OD and add groove to hold braze wireMachine (wire EDM) at least 8 full half length (465mm) quarter jaws from copper (NB: Final jaws will be Glidcop)Released to SLAC shops for fabrication on 1 OCT 2006, Original promise date 11/08/06Cost estimates are very high and we are examining issues involved in designing shorter pieces fabricated by other meansBraze jaws to mandrel assemblyDesign & order shaft in MOLYBDENUMOrder has been placed with vendor: promise date 11/28/06Braze shaft to jaw assemblyMachine 20 facets on jaw faceMachine features required to interface resistive heater packages

ANSYS Model of Jaw-hub-shaft with hollow Mo shaftHub region - centeredGlidcop JawHollow Mo ShaftSimple supports at both shaft endsDeflectionTemp

Comparison of Hollow Mo shaft and Solid Copper Shaft to same FLUKA secondaries: Improved deflections

Molybdenum Shaft Details

Relief on I.D. is for roller bearingSlots for tubing extend past bearing and are 180 deg offsetRelief on O.D is for stiffening sleeve and worm gear mounting1mm raised shoulder (Hub) at center

Single Jaw Thermal Test HardwareJaw Sections~450 mm long Jaw sections are manufactured as quarter cylinders for fabrication accuracy and ease of braze assembly Only 4 or 5 flats are planned for the test and for measurement purposes

Steps on Path to a Thermal Test of a Full Length Cooled Jaw #3: Test FixtureSpecify details of test standMake design drawingsFabricate

Steps on Path to a Thermal Test of a Full Length Cooled Jaw #4: Test Lab PreparationClean space with gantry accessBasic equipment: Granite table, racks, hand toolsPower supplies to drive heatersChiller & plumbed (?) LCW to cool jaw480V wiring for heater power supplies required engineering review, safety review, and multiple bids (?!)23 Nov 2006 promise dateAcquire Heaters5kW resistive heaters available on short notice from OMEGAPC & LabviewRudimentary software tests onlyNational Instruments DAQ with ADCsData Acquisition and Control Module32-Channel Isothermal Terminal Block32-Channel AmplifierThermocouples (?)Capacitive Sensors (?)Vacuum or Nitrogen (?)Safety Authorization (!!!)Collimator Assembly & Test Area in SLAC Bldg.33

Equipping of Clean Collimator Test AreaGranite surface plateAdjacent 16.5 kW ChillerHeater Power Supplies staged for installation in rackInstrumentation rack and computer workstation

Beginnings of System Schematic for Single Jaw Thermal Test HardwareTest Lab Setup Block DiagramPC with LabViewSoftwareHeater #1 ControllerHeater #2 Controller

Capacitec Signal Amplifier

DAC & Signal Processor

Jaw thermocouples

Jaw deflectionsensors

Jaw Heater #1Jaw Heater #2Over Temperature ControlJaw Internal CoolingLine ChillerLCW Water (Supply)LCW Water (Return)fusefusefusefuseBldg Power Bldg Power 100 Amp Tap

Steps on Path to RC1Successful thermal performance of first full length jawComplete design of RC1 support, rotation & RF featuresLayouts, calculations and models of two Jaw mounting methods as well as a rotation scheme have been explored.Detail drawings of the preferred Jaw mounting method and rotation mechanism are in work.A working model is planned to verify the rotation scheme with respect to Jaw face position accuracy.Acquisition, Fabrication & Assembly cycle of the support, rotation & piecesFit-up and initial tests on 1st full length jawComplete fabrication of second jaw (Glidcop?, Moly??) with full support assemblyRemodeling of CERN parts for interface to US partsModels and assemblies of the various Collimator Mounting Stands are completeAn enlarged vacuum tank has been modeled and some CERN support stand modifications have been identifiedNo fabrication drawings have been done as yetAcquisition of Phase I support & mover assembliesGiven delivery difficulties of CERN Phase I this has dropped off CERCA/AREAV and CERN event horizon despite promise 1 May 2006 that SLAC quote was in the mail

August 2006 Plug & Play Model of Jaw MountsLundgren

August 2006 Jaw mounting detailsDraws on features from CERN Phase 1 Collimator CERN Contact RF Assy can be usedModified CERN Pivot Tensioning PlatePositioning and Guiding Plates are similar to CERN DesignTop and Bottom RF springs (not shown)are identicalTo CERN partPress here to activate 2 leaf springs producing linear motion to rotate a worm/ratchet shaft

Note 20-sided faceted face:Lundgren

August 2006 Ratchet, Worm and Worm GearShaft and Jaw mount details not shown for clarity 100 Tooth Worm Gear(mounts to shaft)Single turnWorm20 Tooth ratchet Bearing 2XLundgren

October 2006 Design Model Replaces Worm Gear with Geneva Mechanism for Jaw Rotation and Replaces Needle Bearings with Universal Joint and Angular Contact Bearings and Incorporates Cooling for Support Pieces A Geneva Mechanism is the key factor in indexing the Jaw.

Prevents possible over-run of ratchet. Eliminates step count as determining factor in exact facet positioning.

Universal joints connect Jaw ends to angular contact bearing sets.

The stainless steel diaphragm u-joint meets required torque, Jaw/shaft sag and end-to-end slew offset spec of =/-1.5 mm.ANSYS calculations performed to verify diaphragm thickness & dia. Built-in hard stops prevent damage from potential high accelerations during handling and transport. Maximum stress on diaphragm is 1/2 yield strength of the stainless steel.Lundgren

Universal Joint required motions

Thermal Expansion of molybdenum Shaft of 0.290mm (transient) causes each diaphragm to distort by 0.145mm.

Shaft sag causes an in plane rotation of the Shaft ends of 0.00025 radians causing an equal distortion of the diaphragm.

Transverse displacement one of the ends of the Shaft relative to the other by +/- 1.5mm causes an angular distortion of 0.0015 radians in the diaphragm.

Worst case is for a Vertical Collimator with maximum slew of 0.0015 radians added to the sag component of 0.00025 radiansfor a total of 0.00175 radians of bending of the diaphragm. Lundgren

Jaw Mount with Geneva Mechanism0.5mm thick diaphragm100 Tooth Worm GearGeneva Driver Wheel (on ratchet shaft)Geneva Driven Wheel(on Worm shaft)Lundgren

Jaw Mount section view with safety stopHard StopAngular contact bearings0.5mm thick DiaphragmShaft mounts here Lundgren

Upstream end vertical section JawGeneva MechanismSupport BearingsWorm GearShaftWater CoolingChannelU-Joint AxleLundgren

Upstream end horizontal sectionSupport to Support 1000mmOverall length 930mm Facet length ~905mmLundgren

Upstream end with actuator and cooling lines Lundgren

Upstream End looking DownstreamFlexible Vanesupports each endof Image Current PlateLundgren

Image Current Plate Lundgren

Jaw-Hub-Shaft Key Dimensions

Extension of SLAC Simple FLUKA Model to include cylinder Copper jaws, Hollow Moly Shaft, Ceramic bearings, Shaft axel, and support blocks for TCSM-A6L7Lew Keller

Results for TCSM-A6L7 at 7 SigmaTotal power depositionCopper jaws Molybdenum shaft Axial Al struts Front Al image-current blockRear Al image-current blockFront ceramic bearing Rear ceramic bearingFront steel bearing spindleRear steel bearing spindle

13,500 W 530 W 70 W 35 W 90 W 0.1 W 0.8 W 0.5 W 2.7 W Halo on TCPH, 1 hour beam lifetimeLew Keller

Shaft heating SS & TransientModeling assumptions:Power concentrated in 120o of circumferencePower constant in lengthNo heat transfer at shaft endsNo radiative heat transferEric Doyle

Jaw mount tie rod heating hand calculationsFLUKA => 100 W per rod, steady stateAssume uniform heating along lengthAssume conduction only to end mounts at 20C, no radiative heat transferPeak temperature = 200C, DL =~ 3mm=> must cool tie rodsTie rodEric Doyle

Hand Calculations for Heating/Cooling of Bearings in Steady State Beam LossSteel bearings ball temperature calcsPower density (FLUKA): 40.8e3 W/m^3Radiation-only heat loss from ballT=113C (upbeam) , 285C (downbeam)Si3N4 bearings ball temperature calcsPower density (FLUKA): 6.5e3 W/m^3Radiation-only heat loss from ballT=26C (upbeam) , 62C (downbeam)=> use ceramic bearingsEric Doyle

Status & Plans for Studies of Phase II Collimators in the case of a 1 MJ Beam Abort Accident2000um 500 kW 20 GeV e- beam hitting a 30cm Cu block a few mm from edge for 1.3 sec (0.65 MJ) FNAL Collimator with .5 MJ Trying to negotiate 2007 beam test at CERN to study extent of damageFLUKA study of effect on jaw RF fingersFLUKA-ANSYS study of plastic deformation of entire jawFLUKA study of pressure bump in water cooling systemBNL study using LS-DYNA Code, benchmarked with laser ablation expt.

Cross Section at Shower Maximum Showing Copper Melting and Possible Fracture Regions in a Mis-steering AccidentCopperJawMelting zone (grey),radius = 3.3 mmFracture zone, (200 C)radius = 7 mm2.5 cm~1MJKeller, DoyleReminder of April 2006 Result

CERN Concern #1Will BEAM ABORT ACCIDENT damage RF structures at ends, rendering collimator unusable after 1 event? Answer: Energy Deposition in Down-beam Aluminum Image-Current Block should NOT cause damageTotal Edep 3 kJTmax < 100 Cin the image current blockTwo accident conditions:

All bunches hit the front of the collimator: 7 - 10 x

Grazing angle along collimator edge: at 50 rad grazing angleand 200 x, only about 15% of the beam hits along the edge1 MJ of bunches hitting edge, 7-10 Lew Keller

CERN Concern #2Will PLASTIC DEFORMATION of ENTIRE JAW happen after a BEAM ABORT ACCIDENT?PRELIMINARY RESULT:Discrepancy between temperature results using different (coarse vs. fine mesh) models0.4 MJ dumped in 200 ns into coarse ANSYS modelQuasi steady state temperature dependent stress-strainbilinear isotropic hardeningResult: plastic deformation of 208 um after cooling, sagitta ~130umJaw ends deflect toward beamJaw surfaces at 90 to beam impact useable, flat within 5 umCAUTION: WORK VERY NEW!!Doyle

High Resolution and Low Resolution ModelsHigh Res Accident model, elements .2 x .16 x 50mm (r,f,z), molten zone in gray: 3 x 5.2 mm (r,f) at shower max.Permanent deformation simulation: Low resolution accident model, elements 8 x 2.5 x 50 mm (r,f,z). Energy density is well represented in z, coarsely in r & f. 5mmmelt8 mmSimilarity in z of power in equal areas (32mm x 12.5mm) of coarse model (scaled x 1.55e8) and fine model.Doyle

Chart1

1936829635.80255594768340.53056

21590507195.416748555676136.0987

68718992643.468124994207820.485

113052014228.147157679644111.162

131270787734.31140000287437.511

128899545678.079115967059689.863

119609003818.64299129984364.644

108434894741.11288620958592.6529

97265985785.133978641912593.1725

85833751252.668869928287701.8203

74812397012.718861184454407.6761

66458236256.088753655620843.4706

58727978413.953647806574383.0424

50825588491.226541761562015.5321

43455833734.207637371348183.3131

fine(accident)

ss_coarse*ss_sf

z-station

power (W)

z-variation of accident power input at shower max in equal areas of fine & coarse models

acc_damage001

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+00blf1.00E+00beam life factor

0.00E+001.07E-052.04E-035.73E-036.39E-034.64E-038.52E-033.03E-033.63E-032.53E-03stf1.00E+00statistics factor

2.08E-034.77E-032.36E-023.62E-034.31E-032.92E-032.26E-033.55E-034.07E-033.08E-03jpgev1.60E-10(J/geV)

3.69E-033.36E-032.56E-034.73E-034.10E-034.68E-035.25E-032.67E-035.21E-034.96E-03pps4.50E+18(prot/sec)(9e11 prot for 200e-9 sec)

2.90E-034.12E-031.00E-023.53E-032.50E-033.02E-034.39E-033.89E-033.01E-032.76E-03dx1.56E-04(m)

8.15E-033.19E-035.87E-031.68E-032.02E-031.03E-024.61E-035.44E-032.55E-035.49E-03dy2.00E-04(m)

2.58E-032.54E-031.82E-031.46E-032.83E-032.76E-035.23E-036.16E-032.79E-033.28E-03dz5.00E-02(m)

3.75E-032.04E-033.73E-032.89E-032.13E-033.15E-031.39E-031.39E-031.59E-031.97E-03

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+00sectpower(W)energy (J) in 200 ns

0.00E+004.25E-042.32E-033.10E-036.43E-037.59E-033.22E-031.11E-022.54E-032.76E-0311.94E+09121281

4.13E-033.84E-033.80E-033.03E-034.69E-033.51E-033.08E-034.43E-033.58E-033.19E-0322.16E+10212822561

3.88E-033.30E-033.15E-035.08E-038.54E-039.89E-033.99E-033.12E-034.93E-034.51E-0336.87E+10325623841

2.54E-032.71E-033.56E-032.28E-032.83E-031.94E-032.19E-036.84E-033.94E-034.53E-0341.13E+11438425121

3.26E-031.05E-025.22E-032.56E-032.66E-038.00E-035.47E-033.46E-033.57E-032.50E-0351.31E+11551226401

2.70E-033.10E-031.90E-033.46E-032.28E-032.59E-032.43E-033.54E-032.69E-032.75E-0261.29E+11664027681

2.70E-033.20E-035.08E-022.69E-031.78E-031.48E-031.36E-031.72E-032.06E-032.18E-0371.20E+11776828961

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+0081.08E+118896210241

0.00E+001.20E-032.12E-033.04E-035.48E-033.99E-033.80E-033.43E-033.32E-032.14E-0399.73E+1091024211521

2.89E-033.73E-033.81E-024.56E-033.60E-035.51E-036.12E-033.89E-033.77E-033.78E-03108.58E+10101152212801

1.08E-014.51E-031.13E-024.25E-034.75E-033.81E-033.31E-035.10E-033.44E-032.85E-03117.48E+10111280214081

3.22E-032.64E-035.96E-032.09E-022.83E-033.01E-034.53E-035.41E-024.58E-034.95E-03126.65E+10121408215361

2.63E-033.83E-033.78E-031.02E-024.44E-033.68E-034.48E-032.23E-032.62E-031.90E-03135.87E+10131536216641

2.83E-032.28E-031.85E-032.05E-034.24E-031.91E-032.46E-032.19E-034.21E-033.11E-03145.08E+10141664217921

1.50E-033.96E-032.23E-031.76E-031.99E-031.56E-031.46E-032.14E-031.74E-032.25E-03154.35E+10151792219201

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+00tot (75cm)1.17E+122.34E+05

0.00E+002.50E-032.40E-031.01E-021.09E-014.42E-035.74E-034.70E-034.36E-035.84E-03

3.58E-033.19E-033.85E-034.30E-032.08E-024.18E-034.46E-031.15E-023.52E-034.26E-03

3.99E-035.86E-034.61E-033.36E-035.34E-033.59E-034.93E-035.98E-033.97E-031.60E-02

2.58E-037.54E-033.64E-034.45E-033.00E-032.54E-035.22E-034.69E-033.73E-033.93E-03

2.20E-034.28E-032.36E-033.88E-033.15E-035.72E-032.62E-032.72E-032.61E-032.38E-03

2.97E-031.36E-032.42E-032.92E-032.33E-034.21E-031.99E-032.79E-033.66E-032.01E-03

3.19E-032.75E-032.27E-031.70E-031.68E-032.05E-032.37E-032.56E-034.24E-031.87E-03

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+00

1.42E-046.06E-032.65E-033.52E-035.50E-034.17E-034.51E-032.40E-033.55E-032.09E-03

3.34E-034.59E-034.85E-033.74E-034.10E-033.54E-037.74E-032.96E-031.05E-023.80E-02

2.88E-034.47E-035.25E-033.34E-036.43E-033.25E-033.26E-034.40E-033.20E-033.55E-03

2.55E-033.34E-031.44E-022.52E-032.61E-035.53E-038.63E-032.67E-033.98E-034.70E-03

3.45E-034.01E-032.52E-035.06E-036.28E-032.83E-033.63E-032.16E-031.78E-033.44E-03

2.98E-031.88E-034.39E-031.22E-022.38E-032.25E-032.69E-034.55E-034.52E-033.67E-03

2.29E-032.44E-034.47E-033.12E-034.92E-034.46E-033.50E-032.85E-032.06E-034.53E-03

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+00

3.02E-038.11E-032.70E-033.80E-032.99E-026.50E-036.34E-034.67E-033.18E-033.22E-03

3.05E-024.67E-034.54E-033.15E-033.81E-034.05E-034.09E-034.13E-035.12E-034.09E-03

3.88E-035.71E-032.83E-033.65E-035.09E-033.67E-033.99E-039.71E-034.09E-032.41E-03

3.70E-031.13E-022.90E-033.31E-034.19E-034.63E-033.49E-033.77E-033.24E-034.15E-03

5.13E-033.16E-034.23E-034.96E-033.40E-024.03E-032.11E-022.51E-033.16E-035.02E-03

4.18E-033.05E-033.24E-032.74E-032.67E-033.24E-035.92E-034.48E-032.41E-031.89E-03

7.12E-033.67E-033.00E-033.07E-033.71E-032.60E-032.05E-039.16E-032.84E-034.20E-03

0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+00

3.31E-035.98E-035.25E-034.26E-037.65E-037.36E-039.92E-033.68E-038.24E-036.67E-03

4.49E-035.33E-026.10E-033.13E-033.84E-034.78E-035.09E-033.76E-036.03E-036.61E-03

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1.07E-021.08E-021.02E-021.06E-021.05E-021.02E-029.85E-031.21E-021.25