Did you know that the English language rule "I before E except after C" is not true ?

Don't believe me ? Here are some examples :

A
agreeing
albeit
Alzheimer's
ancient
atheism
B
beige
Beijing
being
C
caffeine
codeine
concierge
D
deice
deicide
deify
deign
deindustrialize
deity
disagreeing
dreeing
dreidel
E
efficiency
efficient
eigen-
eight
either
F
Fahrenheit
fancier
feign
feint
feisty
financier
foreign
foreseeing
forfeit
freight
G
geitost
gesundheit
glacier
gneiss
H
heifer
height
heinous
heir
heist
herein
I
inveigle
K
kaleidoscope
keister
L
lei
leisure
M
madeira
meiosis
N
neigh
neighbor
neighbour
neither
O
obeisance
onomatopoeia
P
peine
policies
poltergeist
protein
R
reify
reign
reignite
reimburse
rein
reindeer
reindustrialize
reinstall
reinvest
reisolate
reissue
S
scarabaeid
schlockmeister
science
seeing
seignorial
seine
seismic
seize
sensei
sheik
skein
sleigh
sleight
sovereign
species
stein
surfeit
surveillance
T
their
theism
therein
V
veil
vein
W
weigh
weighing
weighings
weighs
weight
weir
weird
wherein
whereinto
X
xanthein
Z
zeitgeist
zootheism