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Chebyshev poles lie along an ellipse, rather than a circle like the Butterworth and Bessel. Prototype value real and imaginary pole locations (ω=1 at the ripple attenuation cutoff point) for Chebyshev filters are presented in the table below.

See the online filter calculators and plotters here.

Pole locations are calculated as follows, where
K=1,2,...,n. n is the filter order.
 

         

0.01 dB Ripple Order (N) Re Part (-σ) Im Part (±jω) 1 20.82774 2 2.22776 2.33729 3 0.79469 1.58937 1.62621 4 0.41087 0.99192 1.35553 0.56148 5 0.25251 0.66109 0.81715 1.22820 0.75907 6 0.17147 0.46845 0.63992 1.15867 0.84820 0.31046 7 0.12426 0.34818 0.50313 0.55844 1.11664 0.89548 0.49695 8 0.09429 0.26852 0.40187 0.47404 1.08934 0.92350 0.61706 0.21668 9 0.07405 0.21321 0.32665 0.40070 0.42641 1.07060 0.94147 0.69879 0.37182 10 0.05971 0.17329 0.26991 0.34011 0.37701 1.05720 0.95371 0.75687 0.48594 0.16744	0.10 dB Ripple Order (N) Re Part (-σ) Im Part (±jω) 1 6.55220 2 1.18618 1.38095 3 0.48470 0.96941 1.20616 4 0.26416 0.63773 1.12261 0.46500 5 0.16653 0.43599 0.53891 1.08037 0.66771 6 0.11469 0.31335 0.42804 1.05652 0.77343 0.28309 7 0.08384 0.23492 0.33947 0.37678 1.04183 0.83549 0.46366 8 0.06398 0.18220 0.27268 0.32165 1.03218 0.87504 0.58468 0.20531 9 0.05044 0.14523 0.22251 0.27294 0.29046 1.02551 0.90182 0.66935 0.35616 10 0.04079 0.11837 0.18437 0.23232 0.25753 1.02071 0.92080 0.73075 0.46917 0.16166
0.25 dB Ripple Order (N) Re Part (-σ) Im Part (±jω) 1 4.10811 2 0.89834 1.14325 3 0.38361 0.76722 1.09155 4 0.21252 0.51306 1.05678 0.43773 5 0.13503 0.35350 0.43695 1.03788 0.64145 6 0.09339 0.25515 0.34854 1.02689 0.75173 0.27515 7 0.06845 0.19178 0.27714 0.30760 1.02001 0.81798 0.45395 8 0.05232 0.14900 0.22299 0.26304 1.01545 0.86085 0.57520 0.20198 9 0.04130 0.11890 0.18217 0.22347 0.23781 1.01227 0.89018 0.66071 0.35156 10 0.03342 0.09700 0.15108 0.19037 0.21102 1.00998 0.91112 0.72307 0.46424 0.15997	0.50 dB Ripple Order (N) Re Part (-σ) Im Part (±jω) 1 2.86278 2 0.71281 1.00404 3 0.31323 0.62646 1.02193 4 0.17535 0.42334 1.01625 0.42095 5 0.11196 0.29312 0.36232 1.01156 0.62518 6 0.07765 0.21214 0.28979 1.00846 0.73824 0.27022 7 0.05700 0.15972 0.23080 0.25617 1.00641 0.80708 0.44789 8 0.04362 0.12422 0.18591 0.21929 1.00500 0.85200 0.56929 0.19991 9 0.03445 0.09920 0.15199 0.18644 0.19841 1.00400 0.88291 0.65532 0.34869 10 0.02790 0.08097 0.12611 0.15891 0.17615 1.00327 0.90507 0.71826 0.46115 0.15890
1.0 dB Ripple Order (N) Re Part (-σ) Im Part (±jω) 1 1.96523 2 0.54887 0.89513 3 0.24709 0.49417 0.96600 4 0.13954 0.33687 0.98338 0.40733 5 0.08946 0.23421 0.28949 0.99011 0.61192 6 0.06218 0.16988 0.23206 0.99341 0.72723 0.26618 7 0.04571 0.12807 0.18507 0.20541 0.99528 0.79816 0.44294 8 0.03501 0.09970 0.14920 0.17600 0.99645 0.84475 0.56444 0.19821 9 0.02767 0.07967 0.12205 0.14972 0.15933 0.99723 0.87695 0.65090 0.34633 10 0.02241 0.06505 0.10132 0.12767 0.14152 0.99778 0.90011 0.71433 0.45863 0.15803

Data taken from "Filter Design," by Steve Winder, Newnes Press, 1998. This is a great filter design book, and I recommend you purchase a copy of it.

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