capra, leapfrog and other related operations on maps · fowler and d. e. manolopolous, an atlas of...

11

Capra leapfrog and other Capra leapfrog and other related operations on mapsrelated operations on maps

Mircea V DiudeaMircea V Diudea

Faculty of Chemistry and Chemical EngineeringFaculty of Chemistry and Chemical EngineeringBabesBabes--Bolyai UniversityBolyai University400084 Cluj ROMANIA400084 Cluj ROMANIA

diudeachemubbclujrodiudeachemubbclujro

22

ContentsContentsbullbull Basic operations in a mapBasic operations in a map

bullbull Composite operationsComposite operations

bullbull Capra operationCapra operation

bullbull Lattices with negative curvatureLattices with negative curvature

bullbull ππ--Electronic implicationsElectronic implications

bullbull ReferencesReferences

33

Relations in a mapRelations in a map

A map A map MM is a combinatorial representation of a closed is a combinatorial representation of a closed surfacesurface11 The graph associated to the map is called The graph associated to the map is called regularregularif all its vertices have the same degree if all its vertices have the same degree

Basic relations in Basic relations in MM

ΣΣdvdvdd == 22ee

ΣΣsfsfss == 22ee

v v -- e e + + f f == χχ((MM)=)= 2(12(1-- gg) ) Euler Euler 22

T Pisanski and M RandiT Pisanski and M Randićć in in Geometry at WorkGeometry at Work M A A Notes M A A Notes 20002000 5353 174 174--194194L Euler L Euler CommentComment Acad Sci I PetropolitanaeAcad Sci I Petropolitanae 17361736 88 128 128--140140

44

Basic operations in a mapBasic operations in a map

StellationStellation11 StSt (capping triangulation)(capping triangulation)add a new vertex in the center of a face and add a new vertex in the center of a face and connect it with each boundary vertexconnect it with each boundary vertex

St St ((M M ) ) vv = = vv00 + + ff00

ee = 3= 3ee00

ff = 2= 2ee00

1 T Pisanski and M Randi1 T Pisanski and M Randićć in in Geometry at WorkGeometry at Work M A A Notes M A A Notes 20002000 5353 174 174--194194

55

StellationStellation StSt

StSt (C(C363615)15)CC363615 15 1 1 ((CC22h h ))

1 P W Fowler and D E Manolopolous 1 P W Fowler and D E Manolopolous An atlas of fullerenesAn atlas of fullerenes Oxford University Press Oxford University PressOxford UK 1995Oxford UK 1995

66


DualDual 11DuDu (Poincar(Poincareacuteeacute dualdual ))locate a point in the center of each face and locate a point in the center of each face and join two such points if their corresponding facesjoin two such points if their corresponding facesshare a common edgeshare a common edge

Du Du ((Du Du ((MM)) = )) = MM

Du Du ((M M ) ) vv = = ff00

ee = = ee00

ff = = vv00


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88


MedialMedial 11MeMe put the new vertices as the midpoints of the put the new vertices as the midpoints of the original edges Join two vertices if and only if theoriginal edges Join two vertices if and only if theoriginal edges span an angle original edges span an angle

Me Me ((MM) = ) = Me Me ((Du Du ((MM)))) (a 4(a 4--valent graph)valent graph)

MeMe((M M ) ) vv = = ee00

ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010


TruncationTruncation 11TrTr cut of the neighborhood of each vertex by a cut of the neighborhood of each vertex by a plane close to the vertex such that it intersects plane close to the vertex such that it intersects each edge incident to the vertex each edge incident to the vertex

Truncation is similar toTruncation is similar to Me Me ((MM) ) Tr Tr ((M M ) ) vv = = dd00vv00

ee = 3= 3ee00

ff = = ff00 + + vv00


1111

Truncation Truncation TrTr

TrTr ((IcosahedronIcosahedron)=C)=C60 60 ((PCPC))IcosahedronIcosahedron ((IIhh))


1212

Composite operations Composite operations

LeapfrogLeapfrog 11LeLe

Le Le ((M M ) = ) = DuDu ((StSt ((M M )) = )) = Tr Tr ((DuDu ((M M ))))

LeLe((M M ) ) vv = = dd00vv00

ee = 3= 3ee00

ff = = ff00 + + vv00

It rotates the parent faces byIt rotates the parent faces by ππss

11 P W Fowler Phys Lett 1986 131 444

1313

LeapfrogLeapfrog LeLe

Le Le ((Le Le (Cube))(Cube))Le Le (Cube)(Cube)

1414


Le Le (C(C30301) = C1) = C90901 (1 (CCss))CC30301 (1 (CCss))

1515

LeapfrogLeapfrog Le Le -- electronic implicationselectronic implications

bullbull In simple In simple HHuumluumlckelckel theorytheory11 the energy of the the energy of the i i thth

ππ --molecular orbital is calculated on the grounds of molecular orbital is calculated on the grounds of AA((GG ) )

EEii = = αα ++ ββλλii

EEHOMOHOMO ndashndash EELUMO LUMO = gap= gap

bullbull Study of Study of eigenvalueeigenvalue spectra provided somespectra provided somerules of thumb rules of thumb for the stability of fullerenesfor the stability of fullerenes

1 E HuumlckelE Huumlckel Z PhysZ Phys 1931 1931 7070 204 204

1616

ππ --Electronic StructureElectronic Structure

OPOPopenopen00λλ NN22 = = λλ NN2+12+144

MCMCmetametaclosedclosednene 000 0 gege λλ NN22 gt gt λλ NN2+12+133

PSCPSCpseudopseudoclosedclosednene 00λλ NN22 gt gt λλ NN2+12+1 gt 0gt 022

PCPCproperlyproperlyclosedclosednene 0 0 λλNN22 gt 0 gt 0 gege λλ NN2+12+111

symbolsymbolshellshellGAPGAPRelationRelation

1717


bullbull LeapfrogLeapfrog rulerule11 LERLER ( ( PC PC ))

NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)

In aIn a--tubulenestubulenes CC1212kkkk--V[2V[2kknn]]--[6][6] ( ( PC PC ))

NNLeLe = 12= 12k k + 2+ 2k k 33mm

mm = 0 1 2= 0 1 2helliphellip ( (kk = 4 to 7)= 4 to 7)

1 P W Fowler and J I Steer 1 P W Fowler and J I Steer J Chem SocJ Chem Soc Chem CommunChem Commun 1987 1403 1987 1403--14051405

1818

Composite operationsComposite operations

Du(St(M))St(M)M

Leapfrog

1919


(a) (b)

Leapfrog bounding polygon hasLeapfrog bounding polygon has ss = 2= 2dd00

2020

Leapfrog of a 4Leapfrog of a 4--valent netvalent net

TURCTURC44CC88[84][84]TUCTUC44[84][84]

2121


Le Le (TUHRC(TUHRC44[84] )=TUVSC[84] )=TUVSC44CC88[812][812]TUHRCTUHRC44[84] = [84] = Me Me (TUC(TUC44[84])[84])

2222


Le Le (TUZ[84]) = TUA[89](TUZ[84]) = TUA[89]TUZ[84]TUZ[84]

2323

Schlegel versionSchlegel version11 ofof Le Le ((MM))

Le Le (Dodecahedron)= (Dodecahedron)= CC6060Dodecahedron = Dodecahedron = CC2020

1 J R Dias From benzenoid hydrocarbons to fullerene carbonsMATCH Commun Math Chem Comput 1996 33 57-85

2424

Leapfrog of planar Leapfrog of planar benzenoidsbenzenoids

Le Le (C(C1616))CC1616

2525


Dual of Stellation of Medial = Dual of Stellation of Medial = DSM DSM ((M M ))1 1

DSMDSM ((M M ) = ) = DuDu ((St St ((MeMe ((M M ))) = ))) = Le Le ((Me Me (M)))(M)))

DSM DSM ((M M ) ) vv = 2= 2dd00vv0 0 = 4= 4ee0 0 ((dd00= 4 s= 4 s00 = 4)= 4)ee = 6= 6ee00

ff = = ff00 + + ee0 0 + v+ v00

It involves It involves twotwo rotations byrotations by ππss == no rotationno rotation

11 M V Diudea P E John A Graovac M Primorac and T PisanM V Diudea P E John A Graovac M Primorac and T Pisanski ski Croat Chem ActaCroat Chem Acta 2003 2003 7676 153 153--159159

2626

Dual of Dual of StellationStellation of Medialof Medial

M Me(M)

Du(St(Me(M)))

2727


Quadrupling Quadrupling Q Q ((M M )) ChamferingChamfering1 1

Q Q ((M M ) = ) = DuDu ((Str Str ((MeMe ((M M ))) )))

Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00


11 A Deza M Deza and V P Grishukhin A Deza M Deza and V P Grishukhin Discrete MathDiscrete Math 1998 1998 192192 41 41--8080

2828

Quadrupling Quadrupling Q Q ((M M ))

M V Diudea P E John A Graovac M Primorac and T Pisanski Croat Chem Acta 2003 76 153-159

2929


Q Q ((Q Q ((CubeCube))))Q Q (Cube)=(Cube)=ChamferingChamfering11

1 M Goldberg Tocirchoku Math J 1934 40 226-236

3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020

1 P W Fowler J E Cremona and J I Steer Theor Chim Ac1 P W Fowler J E Cremona and J I Steer Theor Chim Acta 1988 73 1ta 1988 73 1

3131

Quadrupling of planar Quadrupling of planar benzenoidsbenzenoids

Q Q (C(C1616))CC1616

3232

CapraCapra Ca Ca (M)(M)

Ca Ca ((M M ))1 1 ndashndash Romanian LeapfrogRomanian Leapfrog

Ca Ca ((M M ) = ) = TrrTrr ((Pe Pe ((EE22 ((M M ))) )))

CaCa((M M ) ) vv = (2= (2dd00+1)+1)vv0 0 ==vv0 0 + 2+ 2ee0 0 + + ss00ff00

ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00

It involves rotation byIt involves rotation by ππ22ss of the parent facesof the parent faces

11 M V Diudea M V Diudea Studia Univ BabesStudia Univ Babes--BolyaiBolyai 2003 48 3 2003 48 3--2121

3333


CaCann ((M M ) Iterative operation) Iterative operation

vvnn = 8= 8vvnn--1 1 ndashndash 77vvnn--2 2 n n gege 22

vvnn = 7= 7nn sdotsdot vv0 0 dd00 = 3= 3eenn = 7= 7n n sdotsdot ee00 = 7= 7nn sdotsdot 33vv0022ffnn = = ff00 + (7+ (7nn --1)1)sdotsdotvv0022

3434


bullbull GoldbergGoldberg11 relationrelation

mm = (= (a a 22 + + abab + + b b 22) ) a a gege b b a + a + b gtb gt 00

Le Le (1 1) (1 1) mm = 3= 3Q Q (2 0) (2 0) mm = 4= 4Ca Ca (2 1) (2 1) mm = 7= 7

1 M Goldberg Tohoku Math J 1937 43 104-108

3535


M V Diudea M V Diudea Studia Univ BabesStudia Univ Babes--BolyaiBolyai 2003 48 3 2003 48 3--2121

E2(M) Pe(E2(M)) Trr(Pe(E2(M)))

3636


Pe Pe ((E2 E2 (Cube))(Cube))E2 E2 (Cube)(Cube)

3737


CCa a (Cube) (Cube) ndashndash Schlegel projectSchlegel projectTTrrrr((PPee((EE22(Cube))) (Cube)))

3838


CCa a (Icosahedron) = C(Icosahedron) = C132132CCaa (Dodecahedron) = C(Dodecahedron) = C140140

3939

A A ldquoldquoracemicracemicrdquordquo pairpair of of Ca Ca --transformed transformed TUZTUZ[83[83]]

4040

Two successive Two successive CaCa--operationsoperations

CaRCaR ((CaS CaS (Cube))(Cube))CaS CaS ((CaS CaS (Cube))(Cube))

4141

CapraCapra Ca Ca (M) (M) ndashndash Negative curvature latticesNegative curvature lattices

CCaa(Cube)(Cube)[7] [7] (optimized)(optimized)CCaa(Cube)(Cube)[7][7]

4242

Negative and Positive Curvature LatticesNegative and Positive Curvature Lattices

CC260260((IIhh) Fowler) Fowler11Ca Ca (C(C2020))[7][7] NN = 200= 200

1 A Dress and G Brinkmann 1 A Dress and G Brinkmann MATCHMATCH-- Commun Math Comput ChemCommun Math Comput Chem 1996 1996 3333 87 87--100100

4343

Positive and Negative Curvature LatticesPositive and Negative Curvature Lattices

CCa a ((CCa a (Tetrahedron)(Tetrahedron)[7][7]) ) NN = 232= 232CCa a ((CCaa (Tetrahedron)) (Tetrahedron)) NN = 196= 196

4444

POAV POAV ndashndash Strain EnergyStrain Energy

θθp p = = θθσπσπ -- 9090oo pyramidalizationpyramidalization angle angle

SESE = 200(= 200(θθp p ))2 2 strain energystrain energy

120 120 -- (13) (13) ΣΣθθij ij deviation to planaritydeviation to planarity

In the In the POAV1POAV1 theorytheory1212 the the ππ--orbital axis vector makes orbital axis vector makes equal angles to the three equal angles to the three σσ--bonds of the spbonds of the sp22 carboncarbon

1 RC Haddon 1 RC Haddon J Am Chem SocJ Am Chem Soc 112 3385 (1990) 112 3385 (1990)2 RC Haddon 2 RC Haddon J Phys Chem AJ Phys Chem A 105 4164 (2001) 105 4164 (2001)

4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366

(kcalmol)(deg)(deg)321

SEθpDeviationAngle (deg)

POAV1 POAV1 ndashndash Strain EnergyStrain Energy

Ca (Ca (Tetrahedron))

Ca (Ca (Tetrahedron)[7])

4646

Capra of planar Capra of planar benzenoidsbenzenoids

CaCa22(C(C66))Ca Ca (C(C66))

4747

VARIOUS NANOTUBESVARIOUS NANOTUBES

Geodesic projectionGeodesic projectionTUACTUAC66[816]V12[816]V12

4848


Geodesic projectionGeodesic projectionTUZCTUZC66[168]H12[168]H12

4949


Geodesic projectionGeodesic projectionRCRC44CC88[168][168]

5050


Geodesic projectionGeodesic projectionSCSC44CC88[168][168]

5151



5252


Geodesic projectionGeodesic projectionHCHC55CC77[168][168]

5353


Geodesic projectionGeodesic projectionVCVC55CC77[168][168]

5454


Geodesic projectionGeodesic projectionVACVAC55CC77[168][168]

5555


Geodesic projectionGeodesic projectionHACHAC55CC77[168][168]

5656


Geodesic projectionGeodesic projectionVACVAC55CC66CC77[168][168]

5757


Geodesic projectionGeodesic projectionHACHAC55CC66CC77[168][168]

5858

VARIOUS TORIVARIOUS TORI

HACHAC55CC77[12120] N=1440[12120] N=1440HACHAC55CC66CC77[12120] N=1440[12120] N=1440

A CA C6060 ndashndashlike toroidal objectlike toroidal object

5959

Capra of VARIOUS NANOTUBESCapra of VARIOUS NANOTUBES

CaCa (AC(AC66[816]) N=832[816]) N=832CaCa (ZC(ZC66[168]) N=832[168]) N=832

6060


Ca Ca (HAC(HAC55CC77[168]) N=824[168]) N=824CaCa (HAC(HAC55CC66CC77[168]) N=824[168]) N=824

6161


Q Q (HAC(HAC55CC77[168]) N=440[168]) N=440Le Le (HAC(HAC55CC66CC77[168]) N=328[168]) N=328

6262

Spectral implications ofSpectral implications of CaCa operationoperation

bullbull Ca Ca operation applied to a finite structureoperation applied to a finite structureleavesleaves unchangedunchanged its its ππ--electronic electronic shells shells There exist exceptions the most notablyThere exist exceptions the most notablybeing the transformed being the transformed Ca Ca (Tuza[(Tuza[ccnn])]) of of nanotubes which all havenanotubes which all have PCPC shell shell disregarding the character of their parentdisregarding the character of their parentshellshell

6363

M00000672CaCa(A[812])12M0000096A[812]11PC0337-0169-016901690169560CaCa(Z[810])10PC0828-0414-04140414041480Z[810]9PC0189-0132-009500950132248CaCa(Tua[410])8PC0338-0310-01690169031040Tua[410]7PC0048-0265-002400240265192CaCa(Tua[48])6OP0-053200053232Tua[48]5PC0129-0064-006400640064240CaCa(Tuz[104])4PC0190-0095-00950095009540Tuz[104]3PC0034-0273-001700170273192CaCa(Tuz[84])2OP0-070500070532Tuz[84]1

ShellGapLUMO+1LUMOHOMOHOMO-1NSTRUCTURE

Spectral data of open nanotubes Tuza[Spectral data of open nanotubes Tuza[ccnn] ] and tori ZA[and tori ZA[ccnn] and their] and their CaCa --transformstransforms

6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1

SHELLx-x0x+EπGAPLUMOHOMOTUBE

Spectral data of various types of open nanotubesSpectral data of various types of open nanotubes

6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1


Spectral data of theSpectral data of the LeLe transformstransforms ofvarious types of open nanotubesvarious types of open nanotubes

6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1


Spectral data of theSpectral data of the QQ transformstransforms ofvarious types of open nanotubesvarious types of open nanotubes

6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1


Spectral data of theSpectral data of the CaCa transformstransforms ofofvarious types of open nanotubesvarious types of open nanotubes

6868

Spectral data of theSpectral data of the Platonic polyhedraPlatonic polyhedra andandtheir their CaCa [7] [7] --transformstransforms

Structure HOMO-1 HOMO LUMO LUMO+1 Gap Shell Ex e

1 M = Tetrahedron 3 -1 -1 -1 0 OP Ca(M)[7] 0154 0154 0154 -0614 0 OP CaS(CaS(M)[7]) -0005 -0005 -0005 -0306 0 OP 4 CaR(CaS(M)[7]) -0010 -0010 -0010 -0325 0 OP 4 2 M = Cube 1 1 -1 -1 2 PC Ca(M)[7] 0 0 0 -0188 0 OP CaS(CaS(M)[7]) -0010 -0010 -0127 -0127 0117 MC 6 CaR(CaS(M)[7]) -0004 -0004 -0141 -0141 0137 MC 6 3 M = Dodecahedron 1 0 0 0 0 OP Ca(M)[7] 0 0 0 -0165 0 OP CaS(CaS(M)[7]) -0069 -0069 -0069 -0131 0 OP 6 CaR(CaS(M)[7]) -0070 -0070 -0070 -0138 0 OP 6 4 M = Octahedron 0 0 0 -2 0 OP Ca(M)[7] 0222 0 0 0 0 OP CaS(CaS(M)[7]) 0008 -0044 -0044 -0044 0 OP 2 CaR(CaS(M)[7]) 0021 -0058 -0058 -0058 0 OP 2 5 M = Icosahedron -1 -1 -1 -1 0 OP Ca(M)[7] 0101 0101 0101 0101 0 OP CaS(CaS(M)[7]) -0022 -0022 -0022 -0022 0 OP 6 CaR(CaS(M)[7]) -0029 -0029 -0029 -0029 0 OP 6

6969

Negative curvature latticesNegative curvature latticesbullbull GAUSSGAUSS--BONET Theorem BONET Theorem -- relates relates

the geometric curvature to the topologythe geometric curvature to the topology

( )int =S

SdA πχκ 2

( ) fevS +minus=χEuler characteristic

v v -- e e + + f f == 2(12(1-- gg))

O Bonnet C R Acad Sci Paris 1853 37 529-532

22)2( 000 fveg =+minus=

7070

Negative curvature latticesNegative curvature lattices

bullbull The The genusgenus of of Ca Ca ((MM))[7][7] objects is calculable asobjects is calculable as

bullbull χχ((MM))[7][7] ==vv1[7] 1[7] -- ee1[7] 1[7] + + ff1[7] 1[7] = 2(1 = 2(1 -- g)=g)=vv0 0 -- ee00

bullbull g g = (= (ee0 0 -- vv0 0 + 2)2 = + 2)2 = ff0022

(spherical character of the parent polyhedron involves (spherical character of the parent polyhedron involves vv0 0 -- ee00 + + f f 0 0 = 2) = 2)

bullbull Lattices with Lattices with gg gt 1 will have gt 1 will have negativenegative χχ((MM))[7][7] and consequently negative and consequently negative

curvaturecurvature

bullbull For the five For the five PlatonicPlatonic solids the genus of the corresponding solids the genus of the corresponding Ca Ca ((MM))[7][7] is is

2 (Tetrahedron) 3 (Cube) 4 (Octahedron) 6 (Dodecahedron)2 (Tetrahedron) 3 (Cube) 4 (Octahedron) 6 (Dodecahedron) and and

10 (10 (IcosahedronIcosahedron))

7171


CCaa22(Cube)(Cube)[7][7] P3DP3D N=3424 N=3424CCaa22(Cube)(Cube)[7][7] P2DP2D N=1760N=1760

Diudea M V Capra-a leapfrog related operation on maps Studia Univ ldquoBabes-Bolyairdquo 2003 48 (2) 3-22

7272


CC--Ca1Ca1--77--Ca2 = M N = 464Ca2 = M N = 464O1CaM(7)O1CaM(7)

7373


LUMjLUMjUM N = 176UM N = 176

Nagy Cs L Diudea M V Carbon allotropes with negative curvature Studia Univ ldquoBabes-Bolyairdquo 2003 48 (2) 35-46

7474


LCUMjLCUMjCUM N = 176CUM N = 176

7575


LUCUMjLUCUMjUCUM N = 104UCUM N = 104

7676


LCUCUMjLCUCUMjCUCUM N = 104CUCUM N = 104

7777


LSUMiLSUMiSUM N = 152SUM N = 152

7878


LSCUCUMiLSCUCUMiSCUCUM N = 80SCUCUM N = 80

7979


PLSCUCUM N = 104PLSCUCUM N = 104PLSUM N = 200PLSUM N = 200

8080


LSCUMiLSCUMiSCUM N = 152SCUM N = 152

8181


O2CaM(8)O2CaM(8)PLSCUM N = 224PLSCUM N = 224

8282


LPLSCUMOjLPLSCUMOjPLSCUMO=O1QM PLSCUMO=O1QM N = 56N = 56DYCK GRAPHDYCK GRAPH

8383


KLEIN TESSELLATION (73) KLEIN TESSELLATION (73) 2424 HEPTAGONS + 6 OCTAGONSHEPTAGONS + 6 OCTAGONS

DYCK TESSELLATION (83)DYCK TESSELLATION (83)12 + 6 OCTAGONS12 + 6 OCTAGONS

8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585


CUO1LEM N = 42CUO1LEM N = 42UO1LEM N = 72UO1LEM N = 72

8686


LCUO1LEMjLCUO1LEMjLUO1LEMiLUO1LEMi

8787


LTUMLTUMTUM N = 88TUM N = 88

8888

SOFTWARESOFTWARE

bullbull TOPOCLUJ 20TOPOCLUJ 20 -- Calculations in Calculations in MOLECULAR TOPOLOGYMOLECULAR TOPOLOGY

M V Diudea O Ursu and Cs L Nagy BM V Diudea O Ursu and Cs L Nagy B--B Univ 2002B Univ 2002

bullbull CageVersatileCageVersatile 1111Operations on mapsOperations on maps

M Stefu and M V Diudea M Stefu and M V Diudea BB--B Univ 2003B Univ 2003

8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))

1 Cs L Nagy M Stefu M V Diudea and A Dress A Mueler1 Cs L Nagy M Stefu M V Diudea and A Dress A Mueler CC7070 Dimers Dimers --energetics and topology energetics and topology Croat Chem ActaCroat Chem Acta 2003 (accepted) 2003 (accepted)

Peanut Peanut dimersdimers topologytopology11

vertex orbitsvertex orbits 410 520410 520

9090

Peanut Peanut dimersdimers topologytopology

DuDu((CC140140)) face orbitsface orbitsMeMe((CC140140) ) edge orbitsedge orbits 910 620910 620

[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191

ConclusionsConclusions

bullbull A new operation on maps calledA new operation on maps called CapraCapra CaCa was proposed and was proposed and discussed in comparison with the welldiscussed in comparison with the well--knownknown Leapfrog Leapfrog LeLe and and Quadrupling Quadrupling QQ operationsoperations

bullbull CaCa--operationoperation insulatesinsulates each parent face byeach parent face by its own hexagonsits own hexagons ((ieie coronenecoronene--like substructures) in contrast to like substructures) in contrast to Le Le and and QQ The The transformed constitutive parameters were given transformed constitutive parameters were given

bullbull The utility of this operation is in building ofThe utility of this operation is in building of large cageslarge cages that that preserve the symmetry and spectral properties of the parent preserve the symmetry and spectral properties of the parent structures and in extremelystructures and in extremely facile accessfacile access to several constructions to several constructions withwith negative curvaturenegative curvature

bullbull Clearly many other authors have used such a transformation but Clearly many other authors have used such a transformation but no no paper in our best knowledge has been devoted so far paper in our best knowledge has been devoted so far

9292

ReferencesReferences

11 Diudea M V Graovac A Generation and graph-theoretical properties of C4-tori MATCH -Commun Math Comput Chem 2001 44 93-102

2 Diudea M V Silaghi-Dumitrescu I Parv B Toranes versus torenesMATCH -Commun Math Comput Chem 2001 44 117-133

3 Diudea M V John P E Covering polyhedral tori MATCH -Commun Math Comput Chem 2001 44 103-116

4 Diudea M V Kirby E C The energetic stability of tori and ssingle-wall tubes Fullerene Sci Technol 2001 9 445-465

5 Diudea M V Graphenes from 4-valent tori Bull Chem Soc Japan 2002 75 487-492

9393


6 Diudea M V Silaghi-Dumitrescu I Pacircrv Toroidalfullerenes Ann West UnivTimisoara 2001 10 21-40

7 Diudea M V Silaghi-Dumitrescu I Pacircrv B Toroidalfullerenes from square tiled tori Internet Electronic Journal of Molecular Design 2002 1 10-22

8 Diudea M V Hosoya polynomial in tori MATCH -Commun Math Comput Chem 2002 45 109-122

9 Diudea M V Phenylenic and naphthylenic tori Fullerenes Nanotubes Carbon Nanostruct 2002 10 273-292

10 Diudea M V Parv B Kirby E C Azulenic tori Commun Math Comput Chem (MATCH) 2003 47 53-70

11 Diudea M V Periodic 47 cages Bul Stiint Univ BaiaMare Ser B 2002 18 31-38

9494


12 Diudea M V Topology of naphthylenic tori PCCP 2002 4 4740-4746

13 John E P Diudea M V Wiener index of zig-zag polyhexnanotubes Croat Chem Acta 2003 (in press)

14 Diudea M V Stefu M Parv B John P J Wiener index ofarmchair polyhex nanotubes Croat Chem Acta 2003 (in press)

15 Diudea M V Fowler P W π-Electronic structure of polyhextori originating in square tori PCCP 2003 (submitted)

16 Diudea M V Parv B John E P Ursu O Graovac A Distance counting in tori MATCH Commun Math Comput Chem 2003 49 23-36

17 Diudea M V Nagy C L Ursu O Balaban T S C60 dimersrevisited Fullerenes Nanotubes Carbon Nanostruct 2003 11 245 -255

9595


18 Nagy C L Stefu M Diudea M V Dress A MullerA Structure and energetics of C70 dimers Croat Chem Acta 2003 (accepted)

19 Diudea M V Balaban T S Kirby EC Graovac A Energetics and topology of polyhex nanotubes Phys ChemChemPhys 2003 5 4210 ndash 4214

20 Diudea MV Periodic fulleroids Int J Nanostruct 2003 (in press)

21 Diudea MV Silaghi-Dumitrescu I Graovac A Periodic cages Croat Chem Acta 2003 (submitted)

22 Diudea MV Parv B Ursu O Hex tori from square tori Studia Univ ldquoBabes-Bolyairdquo 2003 48 3-10

23 Diudea MV Ursu O Parv B Hex tubes from square tubes Studia Univ ldquoBabes-Bolyairdquo 2003 48 11-20

9696


24 Diudea MV Silaghi-Dumitrescu I Small fulleroids Studia Univ ldquoBabes-Bolyairdquo 2003 48 21-30

25 Stefu M Diudea MV Wiener index of C4C8 nanotubes MATCH - Commun Math Comput Chem 2003 (in press)

26 MV Diudea The zig-zag cylinder rule Studia Univ ldquoBabes-Bolyairdquo 2003 48 31-40

27 MV Diudea Stability of tubulenes Phys Chem ChemPhys 2003 (submitted)

28 Diudea M V John P E Graovac A Primorac M Pisanski T Leapfrog and Related Operations on Toroidal Fullerenes Croat Chem Acta 2003 76 153-159

29 Diudea M V Nanotube covering modification Studia Univ ldquoBabes-Bolyairdquo 2003 48 000-000

30 Diudea M V Capra- a Leapfrog related map operation StudiaUniv ldquoBabes-Bolyairdquo 2003 48 000-000

9797

TOPO GROUP CLUJ ROMANIATOPO GROUP CLUJ ROMANIA

bullbull Mircea V Diudea Mircea V Diudea bullbull Gabriel Gabriel KatonaKatonabullbull Oleg UrsuOleg Ursubullbull Csaba L NagyCsaba L Nagybullbull Monica StefuMonica Stefubullbull CrinaCrina V V VeresVeresbullbull MihaelaMihaela CaprioaraCaprioarabullbull Cristina D MoldovanCristina D Moldovanbullbull IoanaIoana FloreaFlorea

9898

TOPO GROUP CLUJ ROMANIA EUROPETOPO GROUP CLUJ ROMANIA EUROPE

9999


100100


101101


22

ContentsContentsbullbull Basic operations in a mapBasic operations in a map

bullbull Composite operationsComposite operations

bullbull Capra operationCapra operation

bullbull Lattices with negative curvatureLattices with negative curvature

bullbull ππ--Electronic implicationsElectronic implications

bullbull ReferencesReferences

33




ΣΣdvdvdd == 22ee

ΣΣsfsfss == 22ee



44



St St ((M M ) ) vv = = vv00 + + ff00

ee = 3= 3ee00

ff = 2= 2ee00


55


StSt (C(C363615)15)CC363615 15 1 1 ((CC22h h ))


66




Du Du ((M M ) ) vv = = ff00

ee = = ee00

ff = = vv00


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


33




ΣΣdvdvdd == 22ee

ΣΣsfsfss == 22ee



44



St St ((M M ) ) vv = = vv00 + + ff00

ee = 3= 3ee00

ff = 2= 2ee00


55


StSt (C(C363615)15)CC363615 15 1 1 ((CC22h h ))


66




Du Du ((M M ) ) vv = = ff00

ee = = ee00

ff = = vv00


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


44



St St ((M M ) ) vv = = vv00 + + ff00

ee = 3= 3ee00

ff = 2= 2ee00


55


StSt (C(C363615)15)CC363615 15 1 1 ((CC22h h ))


66




Du Du ((M M ) ) vv = = ff00

ee = = ee00

ff = = vv00


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


55


StSt (C(C363615)15)CC363615 15 1 1 ((CC22h h ))


66




Du Du ((M M ) ) vv = = ff00

ee = = ee00

ff = = vv00


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


66




Du Du ((M M ) ) vv = = ff00

ee = = ee00

ff = = vv00


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


77

Dual Dual DuDu

Du Du (C(C404039)39)CC404039 39 1 1 ((DD55dd))


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


88





ee = 2= 2ee00

ff = = ff00 + + vv00


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


99

MedialMedial MeMe

MeMe (C(C5050271)271)CC5050271 271 1 1 ((CCss))


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1010




ee = 3= 3ee00

ff = = ff00 + + vv00


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1111




1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1212





ee = 3= 3ee00

ff = = ff00 + + vv00



1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1313



1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1414



1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1515








1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1616







1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1717



NNLeLe = 60 + 6= 60 + 6mm ((mm nene 1)1)

= 3(20 + 2m)= 3(20 + 2m)


NNLeLe = 12= 12k k + 2+ 2k k 33mm



1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1818


Du(St(M))St(M)M

Leapfrog

1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


1919


(a) (b)


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2020



2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2121



2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2222



2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2323




2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2424


Le Le (C(C1616))CC1616

2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2525





ff = = ff00 + + ee0 0 + v+ v00



2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2626


M Me(M)

Du(St(Me(M)))

2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2727




Q Q ((M M ) ) vv = (= (dd00+1)+1)vv00

ee = 4= 4ee00

ff = = ff00 + + ee00



2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2828



2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


2929




3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3030


Q Q (C(C2020))11 = C= C80 80 ((OPOP))CC2020


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3131


Q Q (C(C1616))CC1616

3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3232





ee = 7= 7ee0 0 = 3= 3ee0 0 + 2+ 2ss00ff00

ff = (s= (s00+1)+1)ff00



3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3333





3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3434






3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3535




3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3636



3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3737



3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3838



3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


3939


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4040



4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4141



4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4242




4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4343



4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4444







4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4545

pθ

102936780509average

043226640218130022114902114422

05903112029312322611916116736

153950270760122078117818117824

007811330039129236116541114105

02211906011112679511799114883

247863781218120442117678118227

186255290923114694125063117475

C766

611883169127967average

61202316952797259995108017108071

61171316872796160000108026108090

61189316922796760006108078108017

C366






4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4646



4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4747



4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4848



4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


4949



5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5050



5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5151



5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5252



5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5353



5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5454



5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5555



5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5656



5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5757



5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5858




5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


5959



6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6060



6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6161



6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6262



6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6363




6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6464

PSC630651495003601380174VAC5C6C7[168]11

PSC621651477001901280147VAC5C7[168]10

PSC601671474009101530244VC5C7[168]9

PC6406415370217-01090109TUV[816]8

PSC621651497006600680134SC5C7[168]7

PC6406414460126-00630063SC4C8[168]6

M624621425000RC4C8[168]5

OP632631517000HAC5C6C7[168]4

PSC613641487019100191HAC5C7[168]3

OP601671490001390139HC5C7[168]2

OP632631527000TUH[168]1



6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6565

PSC15201561514009201470239VAC5C6C7[168] LeLe11

PSC15201561506007901240203VAC5C7[168] LeLe10

PSC15101571507005502010256VC5C7[168] LeLe9

PC168016815470217-01080108TUV[816] LeLe8

PSC16701691531005000270077SC5C7[168] LeLe7

M152161521464000SC4C8[168] LeLe6

M152161521464000RC4C8[168] LeLe5

PSC16101671530001401700183HAC5C6C7[168] LeLe4

PSC16001681519004501580203HAC5C7[168 ] LeLe3

PSC16001681519000902030211HC5C7[168] LeLe2

PC168016815480163-00810081TUH[168] LeLe1



6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6666

OP20402081527000780078VAC5C6C7[168]QQ11

OP20402081520001300130VAC5C7[168]QQ10

OP20312081517000820082VC5C7[168]QQ9

PC224022415530156-00780078TUV[816]QQ8

PSC22312241536005500055SC5C7[168]QQ7

M22162211505000SC4C8[168]QQ6

M21362131486000RC4C8[168]QQ5

OP21902211538000030003HAC5C6C7[168]QQ4

OP21612231530000990099HAC5C7[168 ]QQ3

OP21302271528001150115HC5C7[168]QQ2

OP22322231547000TUH[168]QQ1



6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6767

OP39703991543000170017VAC5C6C7[168]CaCa11

PSC39604001539000300790082VAC5C7[168]CaCa10

OP39604001539000920092VC5C7[168]CaCa9

PC416041615580114-00570057TUV[816]CaCa8

PC416041615500113-00120100SC5C7[168]CaCa7

PC416041615360017-00090009SC4C8[168]CaCa6

PC408040815280014-00070007RC4C8[168]CaCa5

PSC40804161551000700710077HAC5C6C7[168]CaCa4

OP40804161547000750075HAC5C7[168 ]CaCa3

MCMC413041115470011--00160016--00060006HC5C7[168]CaCa2

OPPC41604161557000TUH[168]CaCa1



6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6868




6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


6969



( )int =S

SdA πχκ 2


v v -- e e + + f f == 2(12(1-- gg))


22)2( 000 fveg =+minus=

7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7070







curvaturecurvature




7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7171




7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7272



7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7373




7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7474



7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7575



7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7676



7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7777



7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7878



7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


7979



8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8080



8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8181



8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8282



8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8383




8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8484


LEM N = 24LEM N = 24QM N = 32QM N = 32

8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8585



8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8686



8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8787



8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8888

SOFTWARESOFTWARE





8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


8989

CC2(702(70--5)55)5--H[101]H[101]--[7][7] = = CC140140 ((CC11))




9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


9090



[5]2 210 [6] 410 [7] 10[5]2 210 [6] 410 [7] 10

9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


9191






9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


9292







9393








9494








9595








9696









9797



9898


9999


100100


101101


9393








9494








9595








9696









9797



9898


9999


100100


101101


9494








9595








9696









9797



9898


9999


100100


101101


9595








9696









9797



9898


9999


100100


101101


9696









9797



9898


9999


100100


101101


9797



9898


9999


100100


101101


9898


9999


100100


101101


9999


100100


101101


100100


101101


101101


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