Polygraphiae libri VI (Basel: Furter & Petri, for Haselberg, 1518)
Six Books of Polygraphy (Basel, 1518 first edition)
prdl-24390_polygraphiae-libri-vi · Style C / Cipher-grid matrices
Polygraphia VI (1518, [Oppenheim]) -- Cipher-grid tables (Style C)
Source witness: Bayerische Staatsbibliothek (BSB) München, 2 P.lat. 545#Beibd.1. Editio princeps. Trithemius's posthumous first edition.
What you are looking at
These chunks render Trithemius's tabular ciphers -- structurally different from the verbal-substitution columns of the cipher-key set. Three families recur:
- Expansion-figure matrices (Prima / Secunda / Tertia / Quarta figura expansionis tabulae) -- bigram-pair tables and alphabet-rotation grids that derive new alphabets from a base alphabet by transposition.
- Orchema numerale -- a 24x24 numerical-substitution matrix in Polygraphia VI book six, indexed by Latin letters on both axes with numbers 6-29 in the body. Trithemius's own note describes the diagonals as an 'infinite leap' (transversaliter a quatuor angulis).
- Spirit-army hierarchies -- positional tables of demonic ranks (Oriens / Duxes majoris / Duxes minoris / Subduces) from the Steganographia tradition; structurally tabular but not a cipher in the strict substitution-table sense.
How the renderer chose its layout
Each source section is tokenised row-by-row. When most rows have the same cell count (and that count is <= 28), the renderer emits a markdown table; otherwise it preserves the source layout as a fenced code block. Trithemius's own commentary (where it appears in long Latin prose between figures) is lifted out into a blockquote. -- marks an OCR-illegible cell.
Honest limits
- Identical-rows artefact: the printed Polygraphia VI expansion figures display Caesar-rotated alphabets, but the OCR frequently linearises them to identical rows (each row = the plain alphabet). The renderer surfaces what the OCR sees; the original rotation is recoverable only by inspecting the facsimile image.
- Header detection is heuristic: lines matching figure-header patterns are lifted out, but a header buried in continuous prose may be missed.
- This work contributes 11 cipher-grid chunks.
Provenance
Auto-generated from the OCR'd source by scripts/render_style_cipher_grid.py. Phase 0.5 manual reclassification moved 43 expansion-figure chunks from cipher-key to cipher-grid (see scripts/reclassify_expansion_figures.py).
Per-chunk renderings
Polygraphia VI — cipher-grid chunk full_chunk_0088
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
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Source section 2
| c1 | c2 | c3 |
|---|---|---|
Tabula |
transpositionis |
auersa. |
Polygraphia VI — cipher-grid chunk full_chunk_0089
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
OCR/grid artefact omitted. The printed figure should be read from the source facsimile: OCR collapsed its columns into repeated alphabet strings, so no transcribed grid is shown here.
Source section 2
Prima figura expansionis tabulae rectae:
Polygraphia VI — cipher-grid chunk full_chunk_0090
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
Source section 2
Secunda figura expansionis tabulae rectae
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
In hac secunda expansionis tabulae rectae figura continentur similiter alphabeta numero quinque, ex quibus per metathesin fieri et alia multa possunt, quorum positionem causa breuitatis obmisimus. Pugtdlw, azpalspbw, ghhgw.
Polygraphia VI — cipher-grid chunk full_chunk_0091
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
Tertia figura expansionis tabulae rectae.
am b c d e f g h i j k l m n o p q r s t u v w x y z
an b c d e f g h i j k l m n o p q r s t u v w x y z
a o p q r s t u v w x y z
a p q r s t u v w x y z
a q r s t u v w x y z
b c d e f g h i j k l m n o p q r s t u v w x y z
b c d e f g h i j k l m n o p q r s t u v w x y z
b d e f g h i j k l m n o p q r s t u v w x y z
b d e f g h i j k l m n o p q r s t u v w x y z
b f g h i j k l m n o p q r s t u v w x y z
b f g h i j k l m n o p q r s t u v w x y z
b h i j k l m n o p q r s t u v w x y z
b h i j k l m n o p q r s t u v w x y z
b j k l m n o p q r s t u v w x y z
b j k l m n o p q r s t u v w x y z
b k l m n o p q r s t u v w x y z
b k l m n o p q r s t u v w x y z
b m n o p q r s t u v w x y z
b m n o p q r s t u v w x y z
b n o p q r s t u v w x y z
b n o p q r s t u v w x y z
b o p q r s t u v w x y z
b o p q r s t u v w x y z
b p q r s t u v w x y z
b p q r s t u v w x y z
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b t u v w x y z
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b v w x y z
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Sunt et in hac expansa figura tabulae rectae quingo alphabeta, per ordine distributa ut cernitur, in quoro primo metathelis ratione pro a capitur m, in secundo n, in tertio o, in quarto p, in quinto q. Quoru numerus ampliari potest multipliciter, ut dictu est supra.
| c1 | c2 |
|---|---|
Expansionis |
continuatio. |
Source section 2
Quarta figura expansionis tabulae rectae.
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
Hac est quarta expansionis tabulae metatbeleos rectae figura, & sub alphabetis quing in ordine recto comprehendit uicesimû inclusive. Fit autem translatio in istis quemadmodum et in caeteris ad multa, qui bus uti potest qui uoluerit securissime in arcanis.
| c1 | c2 | c3 |
|---|---|---|
Continuatio |
tabulae |
rectae. |
Source section 3
Quinta figura expansionis tabulae rectae
Polygraphia VI — cipher-grid chunk full_chunk_0092
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
Source section 2
Prima figura expansionis tabulae auersae.
Polygraphia VI — cipher-grid chunk full_chunk_0093
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
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Haec est prima figura expansionis tabulae auersae, q contra rectâ cu procedat ex opposito, irregularis merito nūcupatur. Nā alternatīs per ordinē alphabetīs cōmittit errorēa duodecima retrorsum, nec m uarians, nec l. Quodcū norma dederit nō uidebat alterandū.
Continuatio.
Polygraphia VI — cipher-grid chunk full_chunk_0094
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Secunda figura expansionis tabulae auersae:
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
Polygraphia VI — cipher-grid chunk full_chunk_0095
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
Tertia figura expansionis tabulae auserfae
o a n q a m p a l t a k e a b g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n m l j i h g f e d c b a w 3 y x u t s r q p o n
Source section 2
Quarta figura expansionis tabulae auersae:
Polygraphia VI — cipher-grid chunk full_chunk_0096
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
Polygraphia VI — cipher-grid chunk full_chunk_0097
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
Quinta figura expansionis tabulae auersae fuit,
On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.
Source section 2
In praefente orchemate multiplex traditur alphabetum
per transpositione et saltum tam norma ordinis quam positio
ne literarum. Quae omnia sufficiunt pro exemplo bis qui loca
tis nó possunt esse contenti, ut modum habeant et formae
quae restant inueniendi, quia sine numero possunt variari.
Polygraphia VI — cipher-grid chunk full_chunk_0105
Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked —, OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.
Source section 1
parue utilitatis eeiudicamus. Pudebit nos olim ueremur bis nenijs intendisse animum utilioribus intermissis. Sed parcet mihi precor lectores, quippe quem uoluntas quidem propria retraxit ab his studijs puerilibus, ne dicam in partem saltet uanis, sed quorundam instatia ut ea scriberem me compulit amicorum quibus id negare nec potui nec debui sine iniuria necel situdinis contracte. Quoru nihilominus precatio inductus etiam caputulum seques me oportuit praescriptis conectere, & pro literis numeros collocare. Varior ematq multiplices scribendi modos, ueteres ob numerorum figuris collocaruit, qui bus ad inuentione subtili arcanu sua tuto in alterutrum transmisserunt. Precibus itaqamicorum persuasi, paucos ex multis in fine huicis libris sexti modos posuimus, quibus iter ad noticia aliorum pateat necscientibus. Nam si quem ista scire delectat, facile poterit ab eis cognitis ad altiora conscendere, & modos inuertos multiplici uicissitudine pro suo arbitrio uariare. Pro cuius rei principio tabulam posuimus sub orchemate, quae/etioneuariata in modum crucis alphabetu in se continebit sex et nonaginta.
Source section 2
| c1 | c2 | c3 | c4 | c5 | c6 | c7 | c8 | c9 | c10 | c11 | c12 | c13 | c14 | c15 | c16 | c17 | c18 | c19 | c20 | c21 | c22 | c23 | c24 | c25 | c26 | c27 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Orchemanumeralepro |
literis. |
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k |
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— |
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Quisquis orchematis huic tabulam recte intelligit, alphabeta ex ea quotquot voulueritis sibi c�ponet. Exempli gratia latinorum gr�mata transuersaliter a quatuor angulis sibi obuiantia locauimus, ut transpositionis saltum in infinitum preb�re mus. Scrib�tibus opus erit industria, ne multitudo numerorum c�fundat memori�m vel intellectum.
Source section 3
| c1 | c2 | c3 | c4 | c5 | c6 | c7 | c8 | c9 | c10 | c11 | c12 | c13 | c14 | c15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Prima |
tabula |
expansionis |
anomale: |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
a |
w |
29 |
w |
m |
49 |
w |
3 |
73 |
b |
c |
97 |
d |
e |
121 |
b |
3 |
26 |
a |
1 |
50 |
3 |
b |
74 |
c |
d |
98 |
e |
f |
122 |
c |
f |
27 |
3 |
k |
51 |
y |
y |
75 |
d |
e |
f |
99 |
f |
g 123 |
d |
k |
28 |
b |
i |
52 |
x |
c |
76 |
e |
f |
100 |
g |
b |
124 |
e |
f |
u |
29 |
y |
b |
53 |
u |
x |
77 |
f |
g |
101 |
b |
i 125 |
f |
c |
30 |
c |
g |
54 |
t |
d |
78 |
g |
b |
102 |
s |
i |
k 126 |
g |
b |
r |
32 |
d |
e |
56 |
r |
e |
80 |
í |
k |
104 |
l |
m 128 |
í |
q |
33 |
u |
d |
57 |
q |
t |
81 |
k |
l |
105 |
m |
a |
129 |
k |
p |
34 |
e |
c |
58 |
p |
f |
82 |
l |
m |
106 |
n |
o |
130 |
l |
o |
n |
35 |
t |
b |
59 |
o |
s |
83 |
m |
n |
107 |
o |
p 131 |
m |
n |
36 |
f |
a |
60 |
a |
g |
84 |
n |
o |
108 |
p |
q |
132 |
n |
m |
37 |
s |
n |
61 |
b |
r |
85 |
o |
p |
109 |
q |
r |
133 |
o |
l |
k |
38 |
g |
o |
62 |
c |
b |
86 |
p |
q |
110 |
r |
s 134 |
p |
k |
39 |
r |
p |
63 |
d |
q |
87 |
q |
r |
111 |
s |
t |
135 |
q |
i |
40 |
b |
w |
64 |
e |
i |
88 |
r |
s |
112 |
t |
u |
136 |
r |
b |
41 |
q |
3 |
65 |
f |
p |
89 |
s |
t |
113 |
u |
x |
137 |
s |
g |
42 |
í |
y |
66 |
g |
k |
90 |
t |
u |
114 |
x |
y |
138 |
t |
f |
43 |
p |
x |
67 |
b |
o |
91 |
u |
x |
115 |
y |
3 |
139 |
u |
d |
44 |
k |
u |
68 |
í |
l |
92 |
x |
y |
116 |
3 |
w |
140 |
x |
d |
45 |
o |
t |
69 |
k |
n |
93 |
y |
3 |
117 |
w |
2 |
141 |
y |
c |
46 |
l |
s |
70 |
l |
m |
94 |
3 |
w |
118 |
a |
b |
142 |
3 |
b |
47 |
n |
r |
71 |
m |
w |
95 |
w |
a |
119 |
b |
c |
143 |
w |
a |
48 |
m |
q |
72 |
n |
a |
96 |
a |
b |
120 |
c |
d |
144 |