Table 1: Bend quintets for Apollonian integer disk packings for principal curvatures 1 through 15, including four indices and shifts.

SymmetryCurvaturesFour indices
type 𝐵 0 𝐵 1 𝐵 2 𝐵 3 𝐵 4 𝐵 𝑘 𝑛 𝑚 𝑢 Shift

11Odd1223311100

21Odd2367721400
31Odd3412131331900
42Even35881232511

51Odd45202121411600
62Even48991744521

71Odd56303131512500
82Even57181822521311

91Odd67424343613600
102Odd61015191964900
113Skew61114152365824/5

121Odd78565757714900
132Even79323236722511
143Skew712172024751012/5

151Odd89727373816400
162Skew813212428851312/5
173Even812252533841721

181Odd910909191918100
192Even911505054924111
203Skew914262735951724/5
214Skew918192234991032/3

221Odd101111011111110110000
232Odd10143539391042500
243Skew10182327351081321/2


346Even*1225252848121313510/13