ME.  A.  CAYLEY’S  EIETH  MEMOIE  UPON  QUANTICS. 
459 
No.  29  A (continued). 
— 
46160 
PPd^ef^ 
+ 
34300 
PPd^y" 
— 
10350 
PPdey 
+ 
7375 
PPP 
— 
73828 
ppdy^ 
+ 306900 
PPd'^Pf^ 
— 
159000 
Ppd^ey 
+ 
73375 
PPd^e^ 
+ 
71610 
PPd^ef- 
289800 
PPd^Pf 
— 
59835 
ppdy^ 
+ 129000 
PPd^Pf 
+ 
80500 
PPd^e^ 
+ 
25050 
PPd^ey 
— 
80125 
PPd^P 
— 
8700 
pcd^y 
+ 
19875 
Pcd^'>P 
— 
1125 
Pd^^-e 
+ 
990 
PPdf* 
+ 
1710 
PPPf^ 
+ 
34620 
PPd^ef^ 
+ 
4650 
PPdPf^^ 
+ 
7050 
PPP'f 
+ 
92290 
ppdy^ 
-243000 
+ 92500 
- 42500  b^c’de^ 
-219730  6WV" 
+ 318500  6WV/ 
- 80500  ¥cW 
+ 114960  b^c^d^f^ 
+ 5250  b*c^d^e^f 
-138750  ¥c*d^ef 
- 1250  5+W 
+ 31150  b^cWy 
+ 40000 
- 18750  bW^e 
+ 2250  ¥cd^^ 
- 135 
- 12060  b^c^Hef 
- 1980  S^c'V/*" 
- 69220  Wc^d^f 
+ 89550  Pc^d-eY^ 
- 41250  6Wey 
+ 5125 
+ 240975  bh^d^ef- 
-179500  bWey 
' + 80125  5WV 
— 109660  b^c^dY 
-122800  b^&d'^^f 
+ 1250  bh'^d^e^ 
+ 178200 
- 37950  b^c^dy 
- 37125 
+ 17875  Wc^d^'^e 
- 2125  bW^- 
+ 1620  6VV® 
+ 30510  b^c^^dY 
- 15120  SVW/2 
+ 6525  b^c^^ey 
-128490  Pc^’^d^ef^ 
+ 69000  b-p°dhy 
- 19875  Pc'^dP 
+ 56110  PPdy" 
+ 88125  PPd^Pf 
- 40000  5+W 
- 103950  PPd^ef 
+ 37125  PPd^e^ 
+ 22275 
- 4125  Pc^d^e 
+ 500  PPd^^ 
- 7290  bP^df^ 
+ 810  6e’V/2 
+ 34155  bPH-ef^ 
— 15300  bp^dpy 
+ 1125  6c' V 
— 14895  6c"</y2 
- 27300  bPH^Pf 
+ 18750  6e"<^V 
+ 30250  bP^d^ef 
- 17875  bPW 
— 6600  bPdy 
+ 4125  bPd'^P 
+ 729  c'y" 
- 3645  P^def^ 
+ 1350  c'V/ 
+ 1620  P^dy^ 
+ 3375  PH'^ey 
- 2250  c'W 
— 3600  P^d^^ef 
+ 2125  c'^<6V 
+ 800  p^dy 
— 500  P^d^P. 
Mr.  Salmoj^  has  also  remarked  to  me,  that  in  the  Table  No.  50  of  the  cubinvariant  of 
a binary  dodecadic  *,  the  coefficients  are  altogether  erroneous.  There  was,  in  fact,  a fun- 
damental error  in  the  original  calculation ; instead  of  repeating  it,  I have,  with  a view  to 
the  deduction  therefrom  of  the  cubinvariant  (see  Fourth  Memoir,  No.  78),  first  calculated 
the  dodecadic  quadricovaidant,  the  value  of  which  is  given  in  the  following  Table : — 
No.  49  a. 
+ 1 ag 
+ 6 
+ 1 5 at 
+ 20  aj 
+ \h  ak 
+ 
6 al 
+ 1 am 
~ & bf 
— 30  bg 
— 54  bh 
— 30  bi 
+ 30  bj 
+ 
54  bk 
+ 30  bl 
+ 1 5 ce 
+ 54  cf 
+ 24  eg 
— 150  ch 
— 270  ci 
— 
150  cj 
+ 24  ck 
-10  d- 
-30  de 
+ 150  df 
-135 
+ 430  dg 
-270  ef 
+ 270  dh 
+ 495  eg 
-540  /2 
- 270  di 
-j-  1 0 8 0 eh 
- 720/^ 
— 430  dj 
+ 495  ei 
fh 
— 840  g‘ 
+ 6 6»t 
+ 15  c»i 
+ 20  dm 
+ 15  em 
+ 6 fm 
+ 1 gm 
+ 54  cl 
+ 30  dl 
- 30  el 
- 54 
-30  gl 
- ^ hi 
— 150  dk 
— 270  ek 
— 150  fk 
+ 24  gk 
+ 54  hk 
+ 15  ik 
— 270  ej 
+ 1080  fi 
- 720  gh 
+ 270  ^- 
+ 495  gi 
-540  P 
+ 430  qj 
-210  hi 
+ 150  hi 
-135  V 
— 30  ij 
-10/ 
* Third  Alemoir,  Philosophical  Transactions,  t.  cxlvi.  (1856)  p.  635. 
