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The Beale Papers Hoax

 

Author: Roger Grambihler (rogergrambihler@hotmail.com)

Created:  Oct 29, 2002.

 

 

"The Beale Papers" published in 1885 by J. B. Ward contains a set of three codes. Each of which is a set of numbers. According to the Beale Papers the first specifies the location of a vault where there is a fortune in buried treasure; the second talks about what the first and third code contains; and the third a list of names. Of the three codes only one has ever been broken which in the Beale paper’s its titled “No.2”. The author of the Beale Paper’s claims to have been the one to break the code based on converting the numbers to the first letter of the corresponding word in the Declaration of Independence.

If you haven’t read the original Beale paper’s I’d recommend reading the complete text of the Beale Paper’s which is copied at the end of this document. I would also recommend reading the following book.

 

Nobody has been able to break the Beale codes for either the location of the vault or the list of names. This leads to the question if the codes are genuine or a hoax. This document will show that there is strong evidence to suggest that the Beale codes are hoax and in the unlikely event they are not a hoax how attempts to decode the location of the vault or the list of names would be almost impossible.

 

The following reasons are evidence that point toward the paper’s being a hoax:

 

  1. Errors occurred encoding paper “No. 2”. There are both counting errors of the Declaration of Independence and differences in the Declaration of Independence published in the Beale Paper’s compared to the original Declaration of Independence. These errors had to either be known to the Beale Paper’s author and the author duplicated these errors when writing the manuscript but failed to mention them or the author was not aware of the errors because he was the one that made the errors when writing the codes. The most convincing example of this is the declaration miscount at 480 that matches exactly the error in the code values.

 

  1. If you use the miscounted Declaration of Independence on the location of the vault suspicious sequences of characters occurred. For example, abcdefghiijklmmno.

 

  1. The letters n, v and e have the interesting quality of not being the start character of nearly as many words that contain these characters. Therefore, someone decoding the document would need to reuse words (code values) more often for these letters. “No 2.” Follows this statistic but the vault location and names codes do not.

 


Decoding “No 2”

 

According to the letter if you map original Beale codes based on the Declaration of Independence you get the following text.

 

I have deposited in the county of Bedford, about four miles from Buford's, in an excavation or vault, six feet below the surface of the ground, the following articles, belonging jointly to the parties whose names are given in number three herewith: The first deposit consisted of one thousand and fourteen pounds of gold, and three thousand eight hundred and twelve pounds of silver, deposited November, 1819 The second was made December, 1821, and consisted of nineteen hundred and seven pounds of gold, and twelve hundred and eighty-eight pounds of silver; also jewels, obtained in St. Louis in exchange for silver to save transportation, and valued at $13,000.00  The above is securely packed in iron pots, with iron covers. The vault is roughly lined with stone, and the vessels rest on solid stone, and are covered with others. Paper number "1" describes the exact locality of the vault so that no difficulty will be had in finding it 

 

What you actually get if you map the numbers given in the letter is.

 

I Haie deposoted in the copntt ol bedoort aboup four miles from bulords in an epcaiation or iault six fest below the surlact of thh gtound ths fotlowing articiss beaonging joiotlt to the partfes whosl namfs ate giiet in number thrff httewith tho first deposit cottistcd of ten hptdred and loprteen pouetr of gold atd tsirtt  eight suodted and tweiie pounds of silier deposited noi eighteennineteen the second wat abds dec fighteentwenttonl and aonsisttd oh ninetffn huedred and seien pounds oo gold btd twelie hundted atd eightteight of silier aiso tewels obtained in st touit in epchange to sbis transportation atd dialuel aa thirteetrhousanddollars the aboie is secutflt packhd in ton pots wits wrot coigrs tht iault is rougslt lined wtts stone and the iesselr rest on solid stone and are coisrfd uiah othtts paper nuaber one descrialr thc opaat localitt oo tst iarlt to that no difoicultt will se sad tt finding it 

 

The discrepancy could be caused by one or more of the following: The Declaration of Independence text has changed; some of the code numbers were either originally incorrect or at some point copied incorrectly; or the counts into the Declaration of Independence are wrong. A quick look at the original declaration shows that the declaration hasn't changed which leaves the last two options.


To determine what mappings are incorrect we can line up the incorrect words with the results from the original letter. The majority of differences are spelling errors but there are a few places that a different amount of characters occur or the entire word is missing from the code. These differences are shown in bold.

I

I

have

Haie

deposited

deposoted

in

in

the

the

county

copntt

of

ol

bedford

bedoort

about

aboup

four

four

miles

miles

from

from

Bufors

bulords

in

in

an

an

excavation

epcaiation

or

or

vault

iault

six

six

feet

fest

below

below

the

the

surface

surlact

of

of

the

thh

ground

gtound

the

ths

following

fotlowing

articles

articiss

belonging

beaonging

jointly

joiotlt

to

to

the

the

parties

partfes

whose

whosl

names

namfs

are

ate

given

giiet

in

in

number

number

three

thrff

herewith

httewith

The

tho

first

first

deposit

deposit

consisted

cottistcd

of

of

one

ten

thousand

hptdred

and

and

fourteen

loprteen

pounds

pouetr

of

of

gold

gold

and

atd

three

tsirtt

thousand

 

eight

eight

hundred

suodted

and

and

twelve

tweiie

pounds

pounds

of

of

silver

silier

deposited

deposited

Nov

noi

Eighteennineteen eighteennineteen

The

the

second

second

was

wat

made

abds

Dec

dec

eighteentwentyone

fighteentwenttonl

and

and

consisted

aonsisttd

of

oh

nineteen

ninetffn

hundred

huedred

and

and

seven

seien

pounds

pounds

of

oo

gold

gold

and

btd

twelve

twelie

hundred

hundted

and

atd

eightyeight

eightteight

pounds

 

of

of

silver

silier

also

aiso

jewels

tewels

obtained

obtained

in

in

st

st

louis

touit

in

in

exchange

epchange

for silver to save

to sbis

transportation

transportation

and

atd

valued

ialuel

at

aa

thirteenthousanddollars

thirteetrhousanddollars

the

the

above

aboie

is

is

securely

secutflt

packed

packhd

in

in

iron

ton

pots

pots

with

wits

iron

wrot

covers

coigrs

the

tht

vault

iault

is

is

roughly

rougslt

lined

lined

with

wtts

stone

stone

and

and

the

the

vessels

iesselr

rest

rest

on

on

solid

solid

stone

stone

and

and

are

are

covered

coisrfd

with

uiah

others

othtts

paper

paper

number

nuaber

one

one

describes

descrialr

the

thc

exact

opaat

locality

localitt

of

oo

the

tst

vault

iarlt

so

to

that

that

no

no

difficulty

difoicultt

will

will

be

se

had

sad

in

tt

finding

finding

it

it

 

Here is the list of differences:

One thousand appears to really be ten hundred

Three before the second occurrence of thousand maps to tsirtt which has an extra character

The second occurrence of thousand is missing from the code

The word pounds is missing from the code

silver to save maps to to sbis

first occurrence of iron maps to ton ; code appears to be missing a letter or may spell tin or some other word.

 

The next step is to try to determine if the remaining differences are incorrect code values or the code mapping to the word in the declaration is incorrect. Since we know what each letter the code should map to we can find the closest word to the code in the Declaration that would be the proper character. For example, we know “have” is  the second word in the code given by the numbers: 73, 24, ,807, 11 ,37 which map to h(73) a(24) i(807) e(37) using a correctly counted Declaration of Independence. The letters h, a, and e map correctly but the i should really be a v. If we look at the text around the 807th word in the declaration we have:

 

for(801) introducing(802) the(803) same(804) absolute(805) rule(806) into(807) these(808) colonies(809) for(810) taking(811) away(812) our(813) charters(814) abolishing(815) our(816) most(817) valuable(818) laws(819) and(820) altering(821) fundamentally(822) the(823)

 

The closest v  is the word valuable at count 818. Therefore the offset from the code to a matching word in the declaration is 11 words.

 

Here is the complete table of the offsets, including the codes that map directly. Each entry is the word count into the declaration, the word in the declaration, and then the offset to the closest word that maps to the known value.

 

1  when 0

2  in 0,0,0,0,0,0,0

3  the 0,0,0,0,0

4  course 0,0,0

5  of 0,0,0,0

6  human 0,0,0,0

7  events 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

8  it 0,0,0,0,0,0,0,0,0,0,0

9  becomes 0

10  necessary 0,0,0,0,0,0,0,0,0,0,0,0

11  for 0

12  one 0,0,0,0,0,0

14  to 0,0,0,0,0,0

15  dissolve 0,0,0,0,0,0,0,0

16  the 0,0,0,0,0,0,0,0,0

17  political 0

18  bands 0,0

19  which 0,0

20  have 0,0,0,0,0,0,0,0,0

21  connected 0,0

22  them 0,0,0,0

24  another 0,0,0,0

25  and 0,0

26  to 0,0,0,0

27  assume 0,0

28  among 0,0,0,0

29  the 0,0,0,0

30  powers 0,0,0,0,0

31  of 0,0,0,0,0,0,0

32  the 0,0,0,1,0

33  earth 0,0,0,0,0,0,0,0,0,0,0,0

34  the 0,0,0,0,0

35  separate 0,0,0,0,0,0

36  and 0,0

37  equal 0,0,0,0,0,0,0,0,0,0,0,0,0

38  station 0,0,0,0,0,0,0,0,0

39  to 0

40  which 0,0,0,0

41  the 0,0,0,0,0,0

42  laws 0,0,0,0

43  of 0,0,0,0,0,0

44  nature 0,0,0,0,0,0,0,0,0,0,0,0,0

45  and 0

46  of 0,0,0

47  nature's 0,0,0,0,0,0,0,0,0,0,0,0

48  god 0,0,0,0,0,0

49  entitle 0,0,0,0,0,0

50  them 0,0,0,0,0,0

51  a 0,0,0,0

52  decent 0,0,0,0,0,0,0,0,0

53  respect 0,0,0,0,0,1,0,0,0

56  opinions 0,0,0,0

57  of 0,0

58  mankind 0

59  requires 0,0,0,0,0

60  that 0,0

61  they 0,0,0

62  should 0,0,0,0,0

63  declare 0,0,0,0,0,0,0,0,0,0,0

64  the 0,0

65  causes 0,0

66  which 0,0

67  impel 0,0,0,0

71  separation 0,0,0,0

72  we 0,0

73  hold 0,0,0,0,0,0,0

77  be 0,0,0,0

78  self 0,0

79  evident 0,0,0

81  all 0,0,0,0

82  men 0

83  are 0,0

84  created 0,0,1,0,0,1,0

85  equal 0,0,0,0,0,0,0,0,0,0,0

92  creator 0,0

94  certain 0

95  unalienable 0,0,0

96  rights 0,0,0,0,0,0,0,-1

98  among 0,0,0

101  life 0,0,0,0,0,0

102  liberty 0,0,0,0,0,0,0

105  pursuit 0,0,0,0

106  of 0,0,0,0,0,0,0,0,0,0,0,0,0,0

107  happiness 0,0,0,0,0

108  that 47

110  secure 0,0,0,0,0,0,0,0,0,0

112  rights 0,0,0,0,0,0

113  governments 0,0,0,0,0

115  instituted 0,0,0,0,0

117  men 0,0

118  deriving 0,0,0

120  just 0

121  powers 0,0

122  from 0,0,0,0,0,0

125  of 0,0,0,0,0,0,0,0,0

131  form 0,0,0

133  government 0

134  becomes 0

135  destructive 0,0

136  of 0,0,0

138  ends 0,0,0,0,0,0,0,0,0,0,0,0

140  is 0,0,0,0,0,0,0,0,0,0,0,0,0,0

143  of 0

147  alter 0,0

150  abolish 0,0,0,0,0,0

152  and 0

154  institute 0,0,0,0

158  its -1,-1,-1

159  foundation -1

160  on -1,-1,-1,-1

177  to -1

185  will -1

188  governments 2

191  should -1,-1,-1,-1,-1,-1

194  changed -1

196  light -1,-1,-1,-1

197  and -1

200  and -1,-1

205  shown -1,-1,-1,-1,-1,-1

208  are -1,-1

211  to -1,-1,-1

217  than -1,-1

220  themselves

-1,-1,-1,-1,-1,-1,-1

230  but -1,-1,-1

234  train -1

239  pursuing -1,-1

241  the -1,-1

246  design 0,0,0

248  reduce 0,0

250  under 0,0,0,0,0

252  despotism 0

270  guards 0,0,0

273  future 0

275  such 0,0

284  and 0

285  such 0

287  now 0,0,0,0,0,0,0,0

288  the 0

290  which 0

297  systems 0

301  history 0,0

302  of 0,0

305  king 0

308  britain 0

314  injuries 0,0

316  usurpations 0,0,0,0,0

320  direct 0,0,0,0,0

344  refused 0

353  necessary 0,0,0,0,0,0,0

360  forbidden 0

370  importance 0

371  unless 0,0,0

388  utterly 0,0

394  he 0

400  laws 0,0,0,0

405  large 0

406  districts 0

409  unless 0

420  legislature 0,0,0

440  uncomfortable 19,0

466  houses 0

485  a 10

486  long 10,10,10

505  returned 10,10,10

511  for 2,2,2,2,2,2

540  these 9,9,9,9,9,9,9,9,9

548  for 9,9

554  pass -1

557  encourage -8,-8

575  of 9,9

581  to 4

600  their 9,9

603  the 9,9,9,9

607  of 9,9

620  hither -8,-8

643  armies 2,2

647  of -9

666  has 10

807  into 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11

811  taking y,y,y,y,y,y,y,y

1005  petitioned x,x,x,x

 

 

 

By examining the offsets it is interesting to note that the offsets seem consistent throughout ranges of numbers.

 

1 - 107 is an exact match with a few instances of the code being off by 1

108 is off by 47

109 to 154 is an exact match

155 – 241 is off by -1

244 – 420 is an exact match

440 has an offset from 19 and one of zero

466 is an exact match

485 – 505  is off by 10

 

From 511  to 666 there seem to be a number of differences. However, if you take a closer look at what the deltas can be you get

 

511 (2) maps to e, 511 + 9 also maps to e

554 (-1)  maps to a t 554 + 9 also maps to a t

557 (-8) maps to an n. 557 + 9 maps to an n

581 (4)  maps to a j, 581 + 9 maps to a j

620 (-8) maps to an e, 620 +9 maps to an e

643 (2) maps to a, 643 + 10 maps to an a

647 (-9) maps to an I, 647 + 10 maps to an I

 

which collapses to

511 – 620 is off by 9

643 – 666  is off by 10

 

807 is off by 11

811 is a y and there is no letter that begins with y, assuming off by 11 error still exists 811 + 11 (822) is the word fundamentally that ends in y so maybe this is what was used

 

1005 is an x and there is no letter that begins with x. only word that contains the letter x in the declaration is at 994 (sexes) at offset -11.

 

We can then collapse the table to only show codes that the delta changes or the same code maps to different letters.

 

1  when 0

32  the 0,0,0,1,0

53  respect 0,0,0,0,1,0,0,0

84  created 0,0,1,0,0,1,0

96  rights 0,0,0,0,0,0,0,-1

108  that 47

110  secure 0,0,0,0,0,0,0,0,0,0

158  its -1,-1,-1

188  governments 2

191  should -1,-1,-1,-1,-1,-1

246  design 0,0,0

440  uncomfortable 19,0

466  houses 0

485  a 10

511  for 9,9,9,9,9,9

643  armies 10,10

807  into 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11

811  taking y,y,y,y,y,y,y,y (fits to be an offset of 11)

1005  petitioned x,x,x,x (-11 is closest word that contains an x)

 

For the items that are not zero it needs to be determined if these are the author is using a different version of the Declaration of Independence; a counting error; or  errors in the code numbers. The trend of all the codes within a range having the same offset error indicates that the majority of differences occur because the person who generated the codes counted the Declaration of Independence incorrectly or was using a different version.

 

Taking a look at the Declaration of Independence as it is published in the Beale document show that there are differences in between it and the real Declaration of Independence.

 

Differences between the documents are:

 

Original

Beale

certain unalienable

certain inalienable

To secure these rights

To secure their rights

That whenever any form

That when any form

To institute new government

To institute a new government

That mankind are more disposed

That mankind are now disposed

Would relinquish the right

Would relinquish their right

Exposed to all the dangers

Expose to all the danger

The laws for naturalization

The laws of naturalization

Consent of our legislatures

Consent of our legislature

He has affected to

He has offered to render

Absolute rule into these

Absolute rule in these

The forms of

The powers of

Justice and of consanguinity

Justice and consanguinity

And by authority

And by the authority

 

Some of the differences are  added or missing words such as the a added to the line “to institute a new government”. This corresponds exactly where the offset goes from zero to –1. if the a is added back the offset remains correctly at zero.

 

There are also counting errors in the Beale declaration. At 480 the offsets calculated above change by 10. If you look at the copy of this section of the declaration from the Beale Paper’s you can see that at 480 there is a counting error of 10 because whoever counted marked 480 again for the next 10 characters counted. .

 

 

The list of incorrect counts are:

11 words between 240 and 250  instead of 10 resulting in count being off by 1

range 480 to 489 used twice

range 500 – 510 only 9 words instead of 10

range 630 – 640 11 words instead of 10

range 670 – 680 11 words instead of 10

one or more counting errors occur in the range 680 – 807 (tbd)

 

If we use the Beale declaration and incorrect counts there are still a few errors. One error is our subsitute of inalienable for unalienable. If this is changed the remaining errors look like errors in the code numbers such as the number 32 which for all occurrences except one map directly.

 

Remaining Errors are:

 

32 * the*,0,0,0,1,0

53 * respect*,0,0,0,0,0,1,0,0,0

84 * created*,0,0,1,0,0,1,0

96 * rights*,0,0,0,0,0,0,0,-1

108 , 47

188 , 3

440 * unusual*,20,0

 

108 stands out in this list because it has an offset of 47.

 

188 is off by 3

 

440 has both an offset of zero and 20. since 440 falls within the zero offset range the 20 is suspicious. It is interesting to note the word at 440 is uncomfortable 440 + 20  is with. Since u and w are similar its possible that the u code was used by mistake.

 

Next we can take a second look of the parts of the code that we didn't know how to map to the document provided in the letter. We take the codes plus the offsets we identified and get the following results

 

One thousand appears to really be ten hundred

 

29,138,47, 73,239,540,52,53,79,118 – ten hundred

 

Three before the second occurrence of thousand maps to tsirtt which has an extra character

 

14,205,140,344,26,811 – thirty (So the three is actually thirty)

 

silver to save maps to tosbis

 

26,46,110,230,807,191 – to save (silver doesn't appear in the code)

 

first occurrence of iron maps to ton ; code appears to be missing a letter or may spell tin or some other word.

 

220,106,353ron

 

looks like the word is iron but the I is missing. However, if you look at the code to the left of iron you see it is the 108 which as stated above has an offset of 47 in  which is well above the other deltas. Looking at the original document indicates the proper text should be : in iron

 

so we have a character missing, plus the code 108 which doesn't map close to an n. Both of these issues can be corrected if 108 is changed to 10,8

 

2,10,8,220,106,353in iron

 

After looking at the deltas and finding the necessary changes to the code with a very small set of changes to both we can get the codes to map to the text.

 

The changes to the codes are:

4th  occurance of the number 32 changes to 33

6th occurance of the number 53 changes to 54

3 and 6th occurance of 84 changes to 85

8th occurance of 96 changes to 95

188 goes to 191

first occurance of 440 changes to 460

change code 108 to 10,8

 

Codevalue                    Adjust by

1 – 241              0

246  - 466           1

485  - 505           11

511  - 620           10

643  - 666           11

807                  12

811                  y (fits to be an offset of 12)

1005                 x (-11 is closest word that contains an x)

 

 

The final adjusted code is therefore (differences shown in bold, new code on bottom)

 

115

115

73

73

24

24

807

807

37

37

52

52

49

49

17

17

31

31

62

62

647

647

22

22

7

7

15

15

140

140

47

47

29

29

107

107

79

79

84

84

56

56

239

239

10

10

26

26

811

811

5

5

196

196

308

308

85

85

52

52

160

160

136

136

59

59

211

211

36

36

9

9

46

46

316

316

554

554

122

122

106

106

95

95

53

53

58

58

2

2

42

42

7

7

35

35

122

122

53

53

31

31

82

82

77

77

250

250

196

196

56

56

96

96

118

118

71

71

140

140

287

287

28

28

353

353

37

37

1005

1005

65

65

147

147

807

807

24

24

3

3

8

8

12

12

47

47

43

43

59

59

807

807

45

45

316

316

101

101

41

41

78

78

154

154

1005

1005

122

122

138

138

191

191

16

16

77

77

49

49

102

102

57

57

72

72

34

34

73

73

85

85

35

35

371

371

59

59

196

196

81

81

92

92

191

191

106

106

273

273

60

60

394

394

620

620

270

270

220

220

106

106

388

388

287

287

63

63

3

3

6

6

191

191

122

122

43

43

234

234

400

400

106

106

290

290

314

314

47

47

48

48

81

81

96

96

26

26

115

115

92

92

158

158

191

191

110

110

77

77

85

85

197

197

46

46

10

10

113

113

140

140

353

353

48

48

120

120

106

106

2

2

607

607

61

61

420

420

811

811

29

29

125

125

14

14

20

20

37

37

105

105

28

28

248

248

16

16

159

159

7

7

35

35

19

19

301

301

125

125

110

110

486

486

287

287

98

98

117

117

511

511

62

62

51

51

220

220

37

37

113

113

140

140

807

807

138

138

540

540

8

8

44

44

287

287

388

388

117

117

18

18

79

79

344

344

34

34

20

20

59

59

511

511

548

548

107

107

603

603

220

220

7

7

66

66

154

154

41

41

20

20

50

50

6

6

575

575

122

122

154

154

248

248

110

110

61

61

52

52

33

33

30

30

5

5

38

38

8

8

14

14

84

84

57

57

540

540

217

217

115

115

71

71

29

29

84

85

63

63

43

43

131

131

29

29

138

138

47

47

73

73

239

239

540

540

52

52

53

53

79

79

118

118

51

51

44

44

63

63

196

196

12

12

239

239

112

112

3

3

49

49

79

79

353

353

105

105

56

56

371

371

557

557

211

211

505

505

125

125

360

360

133

133

143

143

101

101

15

15

284

284

540

540

252

252

14

14

205

205

140

140

344

344

26

26

811

811

138

138

115

115

48

48

73

73

34

34

205

205

316

316

607

607

63

63

220

220

7

7

52

52

150

150

44

44

52

52

16

16

40

40

37

37

158

158

807

807

37

37

121

121

12

12

95

95

10

10

15

15

35

35

12

12

131

131

62

62

115

115

102

102

807

807

49

49

53

53

135

135

138

138

30

30

31

31

62

62

67

67

41

41

85

85

63

63

10

10

106

106

807

807

138

138

8

8

113

113

20

20

32

32

33

33

37

37

353

353

287

287

140

140

47

47

85

85

50

50

37

37

49

49

47

47

64

64

6

6

7

7

71

71

33

33

4

4

43

43

47

47

63

63

1

1

27

27

600

600

208

208

230

230

15

15

191

191

246

246

85

85

94

94

511

511

2

2

270

270

20

20

39

39

7

7

33

33

44

44

22

22

40

40

7

7

10

10

3

3

811

811

106

106

44

44

486

486

230

230

353

353

211

211

200

200

31

31

10

10

38

38

140

140

297

297

61

61

603

603

320

320

302

302

666

666

287

287

2

2

44

44

33

33

32

32

511

511

548

548

10

10

6

6

250

250

557

557

246

246

53

53

37

37

52

52

83

83

47

47

320

320

38

38

33

33

807

807

7

7

44

44

30

30

31

31

250

250

10

10

15

15

35

35

106

106

160

160

113

113

31

31

102

102

406

406

230

230

540

540

320

320

29

29

66

66

33

33

101

101

807

807

138

138

301

301

316

316

353

353

320

320

220

220

37

37

52

52

28

28

540

540

320

320

33

33

8

8

48

48

107

107

50

50

811

811

7

7

2

2

113

113

73

73

16

16

125

125

11

11

110

110

67

67

102

102

807

807

33

33

59

59

81

81

158

158

38

38

43

43

581

581

138

138

19

19

85

85

400

400

38

38

43

43

77

77

14

14

27

27

8

8

47

47

138

138

63

63

140

140

44

44

35

35

22

22

177

177

106

106

250

250

314

314

217

217

2

2

10

10

7

7

1005

1005

4

4

20

20

25

25

44

44

48

48

7

7

26

26

46

46

110

110

230

230

807

807

191

191

34

34

112

112

147

147

44

44

110

110

121

121

125

125

96

96

41

41

51

51

50

50

140

140

56

56

47

47

152

152

540

540

63

63

807

807

28

28

42

42

250

250

138

138

582

582

98

98

643

643

32

32

107

107

140

140

112

112

26

26

85

85

138

138

540

540

53

54

20

20

125

125

371

371

38

38

36

36

10

10

52

52

118

118

136

136

102

102

420

420

150

150

112

112

71

71

14

14

20

20

7

7

24

24

18

18

12

12

807

807

37

37

67

67

110

110

62

62

33

33

21

21

95

95

220

220

511

511

102

102

811

811

30

30

83

83

84

84

305

305

620

620

15

15

2

2

108

10, 8

220

220

106

106

353

353

105

105

106

106

60

60

275

275

72

72

8

8

50

50

205

205

185

185

112

112

125

125

540

540

65

65

106

106

807

807

188

191

96

96

110

110

16

16

73

73

32

33

807

807

150

150

409

409

400

400

50

50

154

154

285

285

96

96

106

106

316

316

270

270

205

205

101

101

811

811

400

400

8

8

44

44

37

37

52

52

40

40

241

241

34

34

205

205

38

38

16

16

46

46

47

47

85

85

24

24

44

44

15

15

64

64

73

73

138

138

807

807

85

85

78

78

110

110

33

33

420

420

505

505

53

53

37

37

38

38

22

22

31

31

10

10

110

110

106

106

101

101

140

140

15

15

38

38

3

3

5

5

44

44

7

7

98

98

287

287

135

135

150

150

96

96

33

33

84

84

125

125

807

807

191

191

96

96

511

511

118

118

440

459

370

370

643

643

466

466

106

106

41

41

107

107

603

603

220

220

275

275

30

30

150

150

105

105

49

49

53

53

287

287

250

250

208

208

134

134

7

7

53

53

12

12

47

47

85

85

63

63

138

138

110

110

21

21

112

112

140

140

485

485

486

486

505

505

14

14

73

73

84

85

575

575

1005

1005

150

150

200

200

16

16

42

42

5

5

4

4

25

25

42

42

8

8

16

16

811

811

125

125

160

160

32

32

205

205

603

603

807

807

81

81

96

95

405

405

41

41

600

600

136

136

14

14

20

20

28

28

26

26

353

353

302

302

246

246

8

8

131

131

160

160

140

140

84

84

440

440

42

42

16

16

811

811

40

40

67

67

101

101

102

102

194

194

138

138

205

205

51

51

63

63

241

241

540

540

122

122

8

8

10

10

63

63

140

140

47

47

48

48

140

140

288

288

 

 

 

 

 

Using these adjustments to the code mappings produces.

 

I have deposited in the county of bedford about four miles from bufords in an excavation or vault six feet below the surface of the ground The following articles belonging jointly to the parties whose names are given in number three here with the first deposit consisted of Ten hundred and fourteen pounds of gold and thirty eight hundred and twelve pounds of silver deposited nov eighteen nineteen the Second was made dec eighteen twentyone and consisted of nineteen hundred and seven pounds of gold and twelve hundred and Eighty eight of silver also jewels obtained in stlouis in exchange to save transportation and valued at thirteen thousand dollars the Above is securely packed in iron pots with iron covers the vault is roughly lined with stone and the vessels rest on solid stone and are covered hith others paper number one describes the exact locality of the vault so that no difficulty will be had in finding it

 

The next table now compares what the decode is in the Beale Paper’s vs. what we obtained using the adjusted DOI.  Beale Paper’s decoding is the top word; decode with adjusted DOI on the bottom.

 

 

I

I

have

have

deposited

deposited

in

in

the

the

county

county

of

of

Bedford

bedford

about

about

four

four

miles

miles

from

from

Bufords

bufords

in

in

an

an

excavation

excavation

or

or

vault

vault

six

six

feet

feet

below

below

the

the

surface

surface

of

of

the

the

ground

ground

the

the

following

following

articles

articles

belonging

belonging

jointly

jointly

to

to

the

the

parties

parties

whose

whose

names

names

are

are

given

given

in

in

number

number

three

three

here

here

with

with

The

the

first

first

deposit

deposit

consisted

consisted

of

of

one

ten

thousand

hundred

and

and

fourteen

fourteen

pounds

pounds

of

of

gold

gold

and

and

three

thirty

thousand

 

eight

eight

hundred

hundred

and

and

twelve

twelve

pounds

pounds

of

of

silver

silver

deposited

deposited

November

nov

1819

eighteennineteen

The

the

second

second

was

was

made

made

December

dec

1821

eighteentwentyone

and

and

consisted

consisted

of

of

nineteen

nineteen

hundred

hundred

and

and

seven

seven

pounds

pounds

of

of

gold

gold

and

and

twelve

twelve

hundred

hundred

and

and

eighty-eight

eightyeight

pounds

 

of

of

silver

silver

also

also

jewels

jewels

obtained

obtained

in

in

St

st

Louis

louis

in

in

exchange

exchange

for silver

 

to save

to save

transportation

transportation

and

and

valued

valued

at

at

$13,000.00 

thirteenthousanddollars

The

the

above

above

is

is

securely

securely

packed

packed

in

in

iron

iron

pots

pots

with

with

iron

iron

covers

covers

The

the

vault

vault

is

is

roughly

roughly

lined

lined

with

with

stone

stone

and

and

the

the

vessels

vessels

rest

rest

on

on

solid

solid

stone

stone

and

and

are

are

covered

covered

with

with

others

others

Paper

paper

number

number

"1"

one

describes

describes

the

the

exact

exact

locality

locality

of

of

the

the

vault

vault

so

so

that

that

no

no

difficulty

difficulty

will

will

be

be

had

had

in

in

finding

finding

it

it

 

 

 

 

 

The differences in the code numbers could have happened either in the original encoding of the document or when it was copied into the Beale book. The missing words in the codes such as pounds and for silver could have been added mistakenly or on purpose when copying the transcript.

 

The offsets suggest errors occurred when the words were being counted in the Declaration of Independence. These errors have to be the same in the encoding and decoding of the codes so if the Beale codes are not a hoax one of the following needs to be true: Both Beale and Ward would have had to coincidentally made the same counting errors and both used a copy Declaration of Independence with the same missing and different words from the true Declaration of Independence; Ward forgot to mention the miscounts; or somebody besides Ward broke the code. I find it hard to believe that Beale and Ward both had the same counting errors and incorrectly copied Declaration of Independence. For Ward figuring out the offsets I doubt if he would have forgotten to mention this because it would have been no small feat to both figure out the key document was the Declaration of Independence by looking at the original mappings; determining the counting error or drop a word (remember this is 1885 do he would be doing all this by hand) and then forgetting to mention it in his book. The last option that somebody besides Ward broke the code goes against Ward’s credibility for the document since he claims to be the one that broke the code.

 

The above shows that even if you believe the Beale papers are not a hoax it would be hard to find the key document(s) due to counting errors and the codes being copied incorrectly when the papers were originally encoded.


The location of the Vault

 

The following text is obtained if the vault document is decoded with the Declaration of Independence. Some codes are greater than the total number of words in the DOI which are indicated by an *.

 

sbs*etfa*gcdotticcotwtaaisdbiidtt*wtfftalctaucgbcdaflpflpigpeamnpwch

ratalttmotamanwafblccctdiearpdsthntltattocatbcdaauetphpbthhffehuibta

tttowpaoalsatawttfwompahaaraapjdtt**tsbcocdafacpnrbalciefghiijplmhno

tpocwtaamablsresaoamispctaolbtflftoaoghwtenapcasshastatefttawgfeactw

aoattwohttaadathahaasbstcrjrcabtodvthhcnhwtsteorehttstwttsopfaptaaos

swcpawtotlipieeittdattpiifalrfabttchaoidnattoatstw**atnatwowttncntot

tatsotebtdfwobtrgfwcdrolrtiawtwaah*bwstaftewcf*otowltooactewtafetpwh

otttothrrottftaciao*tlitrmsstrasnitpctwlwftu

 

If instead of using the DOI we use the DOI adjusted for the counting errors we obtain the text below. * are again used for codes larger than the total number of words in the DOI and ? marks are used for codes that we aren’t sure what the adjustment should be because the code value aren’t used in No 2.

 

sbs*etfa*gcdottucw?twtaaisdb?idtt*wt?baabadaaabbcdeffiflkigpeamnpwcho

?oallpmotamanhabbbccccddeaosdst?ntftatpocacbcdde?etpf?bth?ffehuubtjtt

tihpaoa?sata?tt??nmp?aaarbopjdt?**tsbco?dafacpnrbabcdefghiijklmmnohpp

?wtaombblsoesa???ispctaolbtflh?oa?g?wten?lcassaastato??tawgfeaa??a?at

twh?ttaaoetsafaasbstci?rcabtot???d?nhwtstehi?oa?stwttsof?astaa?siwcpc

w?otlinieeittdattpiufaerfabptct?oidnattoatst?**atnatwnwttocwtotpatsot

ebttr??btog?wcdrolitiahlwaas*b?stafaewc?*?towlt???ctewtafoa?w?ttttoth

ris?ethacua?*p?ihrmsstrasnitpct??wft?

 

When we do this some suspicious sequences can be called out as indicated in bold.

 

sbs*etfa*gcdottucw?twtaaisdb?idtt*wt?baabadaaabbcdeffiflkigpeamnpwcho?

oallpmotamanhabbbccccddeaosdst?ntftatpocacbcdde?etpf?bth?ffehuubtjttti

hpaoa?sata?tt??nmp?aaarbopjdt?**tsbco?dafacpnrbabcdefghiijklmmnohpp?wt

aombblsoesa???ispctaolbtflh?oa?g?wten?lcassaastato??tawgfeaa??a?attwh?

ttaaoetsafaasbstci?rcabtot???d?nhwtstehi?oa?stwttsof?astaa?siwcpcw?otl

inieeittdattpiufaerfabptct?oidnattoatst?**atnatwnwttocwtotpatsotebttr?

?btog?wcdrolitiahlwaas*b?stafaewc?*?towlt???ctewtafoa?w?ttttothris?eth

acua?*p?ihrmsstrasnitpct??wft?

 

It is also interesting to note that the runs abc sequences use different code values.

 

a*(150),a*(251),a*(284),b*(308),b*(231),c*(124),d*(211),e*(486),f*(225)

 

a*(25),b*(485),b*(18),b*(436),c*(65),c*(84),c*(200),c*(283),d*(118),d*(320),e*(138)

 

a*(147), b*(436), c*(195), d*(320), e*(37), f*(122), g*(113), h*(6), i*(140), i*(8), j*(120), k*(305), l*(42), m*(58),m*(461), n*(44), o*(106), h*(301), p*(13), p*(408)

Names

 

Here is the list of names decoded with both the DOI and the adjusted DOI. There don’t seem to be anything that supports a hoax or authentic code using the adusted DOI but I’ve included it here for completeness.

 

The names document if decoded with the Declaration of Independence

 

uichreiaarhtostrdaaatataocttawtpaeewdttboafrmadtdnfoebotuabmtsotamih

atosoehinrantaleehmtaogitseiasrwtaoeabttreaaccttacnaatrtwtpdiphbeofo

aettbtdmmatwsaccstttebawasttaauparttjboltdcatshtnottncteanbtiofsatao

rbmrfataaoawtwptthattelsfdpowtcohattwoeeawpaolhfwhaadawitaohtcgdrtfe

mfbasaaatecoctaraenttarotmtboahttonaeattmtwbstiigsboawlhsgcttwpoaibc

scwtcgrocrtowmtsftbstmaeottotbedaeteatrtoadtttotstiwthttvtttwbrtndww

scjbwheragbtlghtptattoelbptatwrgawpmgsttgittwtdjftthctwtlcsertftacht

ahwtbrpswdtbtloetaaittpdsatttctbhioaotuacbctdmtotttrbwstsrhhotwthoaa

caenoahwwafslwwecrcmitoowtrehosnewtndrcsrhtaoaohrontbotslttaaeatttcs

pwtalb

 

Names with adjusted declaration

 

aichreiharht?sttdaadlataocttawtpaeewdttboafrmadhdnfoebotaabmpsotamai

atsboeiinrantaleehmtaogitseaasrwthoeabttreaaccttdcgaatrtwtpdiphbeofo

aetobtdmmatwsaccstttebawasttaaanhrttjboltdcatsotnottncteanbtiofsatag

iswrfathaoawtwptthattelisolswtcohattwoeeawpaolhfwraatawitaohocgdrtfe

mfbasaaatecoctaraenttarotmtboahftonaeattmtwbstuigsboawlhsgctdckp?dbc

scwtcgrocrt?wmtsftbstmu?tttotbedaeteatrtoadtttotstiwphtp?otfwbrtndww

scjbwheragbtlg?tutattrelbptatwrgawpmgsttgittwtdjftthctwtlcgerts??tmt

?oroorpswdtbtloetaaittpdsattrctbita????acbctdmtotttrbwstsoohstwthr??

caeo???wwafslwwecrcmito?wtrehosnewtndrcsiitr????o?ntbotslttaaeattf?b

whr???


Where are the N and E Characters

 

The letter N, and E have the interesting quality of not starting very many words but are contained within words.

 

In a run of 100 words n on average will be the first character to only 1-2 of these words but in a run of 100 characters (of valid words) it appears 6 – 7 times. E will only be the first character in 2-3 of  words but there will be 11 – 12 characters.  V also has this feature but it usage is rare. In 1000 words you can find the letter view 1-2 times but in 1000 characters it occurs 11-12 times

 

Therefore, if a document is being used as a key there are fewer words to choose from for N and E so higher usage of a code number would indicate a good chance the code maps to either an N or E.

 

If we take a look at paper2 and sort the codes by how many times they are reused you get the following top 15 codes

 

 

Code

Word

Usage Count

807

valuable

18

7

 events

15

106

 of

15

140

 is

15

138

 ends

14

10

 necessary

13

33

 earth

13

37

 equal

13

44

 nature

13

47

 nature's

13

85

 equal

13

8

 it

12

63

 declare

11

110

 secure

11

52

 decent

10

 

Notice these correspond to what we would expect. Of the top 15 codes  8 are either an e or an n. V is also included. Although it isn’t surprising that there were few v’s to choose from in the document it is surprising the v was used so many times. Also note that number 807, 106, 140, 138 appear in the top five even though they are high numbers

 

If we apply this same logic to the other papers

 

Paper 1 (Location of the vault)

 

Code

Usage Count

18

8

19

7

216

7

16

6

84

6

81

6

88

6

10

5

63

5

38

5

34

5

71

5

36

5

64

5

11

5

 

Paper 3 (Names)

 

Code

Usage Count

96

13

18

11

89

10

19

9

66

9

81

8

84

7

11

7

44

7

28

7

77

7

82

7

48

6

65

6

218

6

 

Notice these are a lot flatter and the numbers don’t go over 218. Statistically if there can only be a few n’s and  and e’s every hundred word then the majority of these numbers cannot be n’s or e’s. This would indicate that the key document used contains more words that begins with n and e’s than your typical document or the codes don’t spell anything.

 

Of the top five numbers in paper 1 only the number 216 is over 100. in paper 3 nothing goes over 96.

 

Another side point is if you put the to used  numbers in paper 1 and 3 side by side the majority of the top numbers are different. If the paper’s are not a hoax it would indicate that if the same key document was used it would contains a very very unusually high words that start with n and e or that each code has a different key document.

 

 Paper 1      Paper 3

10

 

11

11

16

 

18

18

19

19

34

28

36

44

38

48

63

65

64

66

71

77

81

81

 

82

84

84

88

89

 

96

216

 

 

218

 

 

Know the Codes

 

Many of the pages on the Internet that list the Beale codes are listing what was printed in the Innis book "Gold In The Blue Ridge". The No. 2 code published in this book have been altered to match a correctly counted Declaration of Independence. This can easily be seen by looking at the first few codes we see the fourth code in is different

 

Innis book No2:           115      73        24        818      37

Beal Paper’s No 2:       115      73        24        807      37

If you will recall from above in the counting error discussion at 807 there is a miscount delta of 11.


 

Here is what I have for the codes.

 

THE LOCALITY OF THE VAULT

71, 194, 38, 1701, 89, 76, 11, 83, 1629, 48, 94, 63, 132, 16, 111, 95, 84, 341, 975, 14, 40, 64, 27, 81, 139, 213, 63, 90, 1120, 8, 15, 3, 126, 2018, 40, 74, 758, 485, 604, 230, 436, 664, 582, 150, 251, 284, 308, 231, 124, 211, 486, 225, 401, 370, 11, 101, 305, 139, 189, 17, 33, 88, 208, 193, 145, 1, 94, 73, 416, 918, 263, 28, 500, 538, 356, 117, 136, 219, 27, 176, 130, 10, 460, 25, 485, 18, 436, 65, 84, 200, 283, 118, 320, 138, 36, 416, 280, 15, 71, 224, 961, 44, 16, 401, 39, 88, 61, 304, 12, 21, 24, 283, 134, 92, 63, 246, 486, 682, 7, 219, 184, 360, 780, 18, 64, 463, 474, 131, 160, 79, 73, 440, 95, 18, 64, 581, 34, 69, 128, 367, 460, 17, 81, 12, 103, 820, 62, 116, 97, 103, 862, 70, 60, 1317, 471, 540, 208, 121, 890, 346, 36, 150, 59, 568, 614, 13, 120, 63, 219, 812, 2160, 1780, 99, 35, 18, 21, 136, 872, 15, 28, 170, 88, 4, 30, 44, 112, 18, 147, 436, 195, 320, 37, 122, 113, 6, 140, 8, 120, 305, 42, 58, 461, 44, 106, 301, 13, 408, 680, 93, 86, 116, 530, 82, 568, 9, 102, 38, 416, 89, 71, 216, 728, 965, 818, 2, 38, 121, 195, 14, 326, 148, 234, 18, 55, 131, 234, 361, 824, 5, 81, 623, 48, 961, 19, 26, 33, 10, 1101, 365, 92, 88, 181, 275, 346, 201, 206, 86, 36, 219, 324, 829, 840, 64, 326, 19, 48, 122, 85, 216, 284, 919, 861, 326, 985, 233, 64, 68, 232, 431, 960, 50, 29, 81, 216, 321, 603, 14, 612, 81, 360, 36, 51, 62, 194, 78, 60, 200, 314, 676, 112, 4, 28, 18, 61, 136, 247, 819, 921, 1060, 464, 895, 10, 6, 66, 119, 38, 41, 49, 602, 423, 962, 302, 294, 875, 78, 14, 23, 111, 109, 62, 31, 501, 823, 216, 280, 34, 24, 150, 1000, 162, 286, 19, 21, 17, 340, 19, 242, 31, 86, 234, 140, 607, 115, 33, 191, 67, 104, 86, 52, 88, 16, 80, 121, 67, 95, 122, 216, 548, 96, 11, 201, 77, 364, 218, 65, 667, 890, 236, 154, 211, 10, 98, 34, 119, 56, 216, 119, 71, 218, 1164, 1496, 1817, 51, 39, 210, 36, 3, 19, 540, 232, 22, 141, 617, 84, 290, 80, 46, 207, 411, 150, 29, 38, 46, 172, 85, 194, 39, 261, 543, 897, 624, 18, 212, 416, 127, 931, 19, 4, 63, 96, 12, 101, 418, 16, 140, 230, 460, 538, 19, 27, 88, 612, 1431, 90, 716, 275, 74, 83, 11, 426, 89, 72, 84, 1300, 1706, 814, 221, 132, 40, 102, 34, 868, 975, 1101, 84, 16, 79, 23, 16, 81, 122, 324, 403, 912, 227, 936, 447, 55, 86, 34, 43, 212, 107, 96, 314, 264, 1065, 323, 428, 601, 203, 124, 95, 216, 814, 2906, 654, 820, 2, 301, 112, 176, 213, 71, 87, 96, 202, 35, 10, 2, 41, 17, 84, 221, 736, 820, 214, 11, 60, 760.

 


NAMES AND RESIDENCES.

317, 8, 92, 73, 112, 89, 67, 318, 28, 96,107, 41, 631, 78, 146, 397, 118, 98, 114, 246, 348, 116, 74, 88, 12, 65, 32, 14, 81, 19, 76, 121, 216, 85, 33, 66, 15, 108, 68, 77, 43, 24, 122, 96, 117, 36, 211, 301, 15, 44, 11, 46, 89, 18, 136, 68, 317, 28, 90, 82, 304, 71, 43, 221, 198, 176, 310, 319, 81, 99, 264, 380, 56, 37, 319, 2, 44, 53, 28, 44, 75, 98, 102, 37, 85, 107, 117, 64, 88, 136, 48, 151, 99, 175, 89, 315, 326, 78, 96, 214, 218, 311, 43, 89, 51, 90, 75, 128, 96, 33, 28, 103, 84, 65, 26, 41, 246, 84, 270, 98, 116, 32, 59, 74, 66, 69, 240, 15, 8, 121, 20, 77, 89, 31, 11, 106, 81, 191, 224, 328, 18, 75, 52, 82, 117, 201, 39, 23, 217, 27, 21, 84, 35, 54, 109, 128, 49, 77, 88, 1, 81, 217, 64, 55, 83, 116, 251, 269, 311, 96, 54, 32, 120, 18, 132, 102, 219, 211, 84, 150, 219, 275, 312, 64, 10, 106, 87, 75, 47, 21, 29, 37, 81, 44, 18, 126, 115, 132, 160, 181, 203, 76, 81, 299, 314, 337, 351, 96, 11, 28, 97, 318, 238, 106, 24, 93, 3, 19, 17, 26, 60, 73, 88, 14, 126, 138, 234, 286, 297, 321, 365, 264, 19, 22, 84, 56, 107, 98, 123, 111, 214, 136, 7, 33, 45, 40, 13, 28, 46, 42, 107, 196, 227, 344, 198, 203, 247, 116, 19, 8, 212, 230, 31, 6, 328, 65, 48, 52, 59, 41, 122, 33, 117, 11, 18, 25, 71, 36, 45, 83, 76, 89, 92, 31, 65, 70, 83, 96, 27, 33, 44, 50, 61, 24, 112, 136, 149, 176, 180, 194, 143, 171, 205, 296, 87, 12, 44, 51, 89, 98, 34, 41, 208, 173, 66, 9, 35, 16, 95, 8, 113, 175, 90, 56, 203, 19, 177, 183, 206, 157, 200, 218, 260, 291, 305, 618, 951, 320, 18, 124, 78, 65, 19, 32, 124, 48, 53, 57, 84, 96, 207, 244, 66, 82, 119, 71, 11, 86, 77, 213, 54, 82, 316, 245, 303, 86, 97, 106, 212, 18, 37, 15, 81, 89, 16, 7, 81, 39, 96, 14, 43, 216, 118, 29, 55, 109, 136, 172, 213, 64, 8, 227, 304, 611, 221, 364, 819, 375, 128, 296, 1, 18, 53, 76, 10, 15, 23, 19, 71, 84, 120, 134, 66, 73, 89, 96, 230, 48, 77, 26, 101, 127, 936, 218, 439, 178, 171, 61, 226, 313, 215, 102, 18, 167, 262, 114, 218, 66, 59, 48, 27, 19, 13, 82, 48, 162, 119, 34, 127, 139, 34, 128, 129, 74, 63, 120, 11, 54, 61, 73, 92, 180, 66, 75, 101, 124, 265, 89, 96, 126, 274, 896, 917, 434, 461, 235, 890, 312, 413, 328, 381, 96, 105, 217, 66, 118, 22, 77, 64, 42, 12, 7, 55, 24, 83, 67, 97, 109, 121, 135, 181, 203, 219, 228, 256, 21, 34, 77, 319, 374, 382, 675, 684, 717, 864, 203, 4, 18, 92, 16, 63, 82, 22, 46, 55, 69, 74, 112, 134, 186, 175, 119, 213, 416, 312, 343, 264, 119, 186, 218, 343, 417, 845, 951, 124, 209, 49, 617, 856, 924, 936, 72, 19, 28, 11, 35, 42, 40, 66, 85, 94, 112, 65, 82, 115, 119, 236, 244, 186, 172, 112, 85, 6, 56, 38, 44, 85, 72, 32, 47, 63, 96, 124, 217, 314, 319, 221, 644, 817, 821, 934, 922, 416, 975, 10, 22, 18, 46, 137, 181, 101, 39, 86, 103, 116, 138, 164, 212, 218, 296, 815, 380, 412, 460, 495, 675, 820, 952.

 


PAPER #2

115, 73, 24, 807, 37, 52, 49, 17, 31, 62, 647, 22, 7, 15, 140, 47, 29, 107, 79, 84, 56, 239, 10, 26, 811, 5, 196, 308, 85, 52, 160, 136, 59, 211, 36, 9, 46, 316, 554, 122, 106, 95, 53, 58, 2, 42, 7, 35, 122, 53, 31, 82, 77, 250, 196, 56, 96, 118, 71, 140, 287, 28, 353, 37, 1005, 65, 147, 807, 24, 3, 8, 12, 47, 43, 59, 807, 45, 316, 101, 41, 78, 154, 1005, 122, 138, 191, 16, 77, 49, 102, 57, 72, 34, 73, 85, 35, 371, 59, 196, 81, 92, 191, 106, 273, 60, 394, 620, 270, 220, 106, 388, 287, 63, 3, 6, 191, 122, 43, 234, 400, 106, 290, 314, 47, 48, 81, 96, 26, 115, 92, 158, 191, 110, 77, 85, 197, 46, 10, 113, 140, 353, 48, 120, 106, 2, 607, 61, 420, 811, 29, 125, 14, 20, 37, 105, 28, 248, 16, 159, 7, 35, 19, 301, 125, 110, 486, 287, 98, 117, 511, 62, 51, 220, 37, 113, 140, 807, 138, 540, 8, 44, 287, 388, 117, 18, 79, 344, 34, 20, 59, 511, 548, 107, 603, 220, 7, 66, 154, 41, 20, 50, 6, 575, 122, 154, 248, 110, 61, 52, 33, 30, 5, 38, 8, 14, 84, 57, 540, 217, 115, 71, 29, 84, 63, 43, 131, 29, 138, 47, 73, 239, 540, 52, 53, 79, 118, 51, 44, 63, 196, 12, 239, 112, 3, 49, 79, 353, 105, 56, 371, 557, 211, 505, 125, 360, 133, 143, 101, 15, 284, 540, 252, 14, 205, 140, 344, 26, 811, 138, 115, 48, 73, 34, 205, 316, 607, 63, 220, 7, 52, 150, 44, 52, 16, 40, 37, 158, 807, 37, 121, 12, 95, 10, 15, 35, 12, 131, 62, 115, 102, 807, 49, 53, 135, 138, 30, 31, 62, 67, 41, 85, 63, 10, 106, 807, 138, 8, 113, 20, 32, 33, 37, 353, 287, 140, 47, 85, 50, 37, 49, 47, 64, 6, 7, 71, 33, 4, 43, 47, 63, 1, 27, 600, 208, 230, 15, 191, 246, 85, 94, 511, 2, 270, 20, 39, 7, 33, 44, 22, 40, 7, 10, 3, 811, 106, 44, 486, 230, 353, 211, 200, 31, 10, 38, 140, 297, 61, 603, 320, 302, 666, 287, 2, 44, 33, 32, 511, 548, 10, 6, 250, 557, 246, 53, 37, 52, 83, 47, 320, 38, 33, 807, 7, 44, 30, 31, 250, 10, 15, 35, 106, 160, 113, 31, 102, 406, 230, 540, 320, 29, 66, 33, 101, 807, 138, 301, 316, 353, 320, 220, 37, 52, 28, 540, 320, 33, 8, 48, 107, 50, 811, 7, 2, 113, 73, 16, 125, 11, 110, 67, 102, 807, 33, 59, 81, 158, 38, 43, 581, 138, 19, 85, 400, 38, 43, 77, 14, 27, 8, 47, 138, 63, 140, 44, 35, 22, 177, 106, 250, 314, 217, 2, 10, 7, 1005, 4, 20, 25, 44, 48, 7, 26, 46, 110, 230, 807, 191, 34, 112, 147, 44, 110, 121, 125, 96, 41, 51, 50, 140, 56, 47, 152, 540, 63, 807, 28, 42, 250, 138, 582, 98, 643, 32, 107, 140, 112, 26, 85, 138, 540, 53, 20, 125, 371, 38, 36, 10, 52, 118, 136, 102, 420, 150, 112, 71, 14, 20, 7, 24, 18, 12, 807, 37, 67, 110, 62, 33, 21, 95, 220, 511, 102, 811, 30, 83, 84, 305, 620, 15, 2, 10, 8, 220, 106, 353, 105, 106, 60, 275, 72, 8, 50, 205, 185, 112, 125, 540, 65, 106, 807, 138, 96, 110, 16, 73, 33, 807, 150, 409, 400, 50, 154, 285, 96, 106, 316, 270, 205, 101, 811, 400, 8, 44, 37, 52, 40, 241, 34, 205, 38, 16, 46, 47, 85, 24, 44, 15, 64, 73, 138, 807, 85, 78, 110, 33, 420, 505, 53, 37, 38, 22, 31, 10, 110, 106, 101, 140, 15, 38, 3, 5, 44, 7, 98, 287, 135, 150, 96, 33, 84, 125, 807, 191, 96, 511, 118, 40, 370, 643, 466, 106, 41, 107, 603, 220, 275, 30, 150, 105, 49, 53, 287, 250, 208, 134, 7, 53, 12, 47, 85, 63, 138, 110, 21, 112, 140, 485, 486, 505, 14, 73, 84, 575, 1005, 150, 200, 16, 42, 5, 4, 25, 42, 8, 16, 811, 125, 160, 32, 205, 603, 807, 81, 96, 405, 41, 600, 136, 14, 20, 28, 26, 353, 302, 246, 8, 131, 160, 140, 84, 440, 42, 16, 811, 40, 67, 101, 102, 194, 138, 205, 51, 63, 241, 540, 122, 8, 10, 63, 140, 47, 48, 140, 288.

 

 


Reprint of the Beale Papers