EXAMPLE 1.  POLYNOMIAL WITH ZEROS 1,2,...,10.


 COEFFICIENTS
    0.1000000000000000D+01    0.0000000000000000D+00
   -0.5500000000000000D+02    0.0000000000000000D+00
    0.1320000000000000D+04    0.0000000000000000D+00
   -0.1815000000000000D+05    0.0000000000000000D+00
    0.1577730000000000D+06    0.0000000000000000D+00
   -0.9020550000000000D+06    0.0000000000000000D+00
    0.3416930000000000D+07    0.0000000000000000D+00
   -0.8409500000000000D+07    0.0000000000000000D+00
    0.1275357600000000D+08    0.0000000000000000D+00
   -0.1062864000000000D+08    0.0000000000000000D+00
    0.3628800000000000D+07    0.0000000000000000D+00



 ZEROS
    0.1000000000000002D+01    0.7792703114739563D-19
    0.1999999999999929D+01   -0.7013417293629121D-18
    0.3000000000000861D+01    0.4112170258374257D-16
    0.3999999999994268D+01    0.4839294773690021D-12
    0.5000000000015782D+01   -0.2904410975693509D-11
    0.6999999999949581D+01   -0.9682737253035049D-11
    0.5999999999993388D+01    0.7260798235880263D-11
    0.8000000000104230D+01    0.7097097174811780D-11
    0.8999999999919025D+01   -0.2570980448390771D-11
    0.1000000000002294D+02    0.3162632907703995D-12

EXAMPLE 2. ZEROS ON IMAGINARY AXIS DEGREE 3.


 COEFFICIENTS
    0.1000000000000000D+01    0.0000000000000000D+00
    0.0000000000000000D+00   -0.1000100010000000D+05
   -0.1000100010000000D+05    0.0000000000000000D+00
    0.0000000000000000D+00    0.1000000000000000D+01



 ZEROS
   -0.1355252715606881D-19    0.1000000000000000D-03
    0.0000000000000000D+00    0.1000000000000000D+01
    0.1355252715606881D-19    0.1000000000000000D+05

EXAMPLE 3. ZEROS AT 1+I,1/2*(1+I)....1/(2**-9)*(1+I)


 COEFFICIENTS
    0.1000000000000000D+01    0.0000000000000000D+00
   -0.1998046875000000D+01   -0.1998046875000000D+01
    0.0000000000000000D+00    0.2658859252929688D+01
    0.7567065954208374D+00   -0.7567065954208374D+00
   -0.2002119533717632D+00    0.0000000000000000D+00
    0.1271507365163416D-01    0.1271507365163416D-01
    0.0000000000000000D+00   -0.7820779428584501D-03
   -0.1154642632172909D-04    0.1154642632172909D-04
    0.1584803612786345D-06    0.0000000000000000D+00
   -0.4652065399568528D-09   -0.4652065399568528D-09
    0.0000000000000000D+00    0.9094947017729282D-12



 ZEROS
    0.1953124999999997D-02    0.1953124999999998D-02
    0.3906250000000025D-02    0.3906250000000025D-02
    0.7812499999999897D-02    0.7812499999999882D-02
    0.1562500000000025D-01    0.1562500000000032D-01
    0.3124999999999960D-01    0.3124999999999944D-01
    0.6250000000000032D-01    0.6250000000000074D-01
    0.1250000000000008D+00    0.1249999999999996D+00
    0.2499999999999968D+00    0.2499999999999991D+00
    0.5000000000000046D+00    0.5000000000000017D+00
    0.9999999999999977D+00    0.9999999999999997D+00

EXAMPLE 4. MULTIPLE ZEROS


 COEFFICIENTS
    0.1000000000000000D+01    0.0000000000000000D+00
   -0.1000000000000000D+02   -0.1000000000000000D+02
    0.3000000000000000D+01    0.1000000000000000D+03
    0.2840000000000000D+03   -0.3340000000000000D+03
   -0.1293000000000000D+04    0.2000000000000000D+03
    0.2374000000000000D+04    0.1394000000000000D+04
   -0.1587000000000000D+04   -0.3836000000000000D+04
   -0.9200000000000000D+03    0.4334000000000000D+04
    0.2204000000000000D+04   -0.2352000000000000D+04
   -0.1344000000000000D+04    0.5040000000000000D+03
    0.2880000000000000D+03    0.0000000000000000D+00



 ZEROS
    0.9999999298839641D+00    0.6202785197712696D-07
    0.9999988586650452D+00   -0.3458166686499259D-06
    0.1000000827188128D+01   -0.9214578674507812D-06
    0.1000000384262939D+01    0.1205246912384949D-05
    0.3403896200820933D-04    0.1999986332182563D+01
   -0.5186712841289530D-05    0.2000036313243690D+01
   -0.2885224923444750D-04    0.1999977354573564D+01
    0.2999999993530577D+01   -0.5069721952916220D-09
    0.5489366760084123D-13    0.4000000000000007D+01
    0.3000000006469358D+01    0.5069233921517480D-09

EXAMPLE 5. 12 ZEROS EVENLY DISTRIBUTE ON A CIRCLE OF RADI US 1. CENTERED AT 0+2I.


 COEFFICIENTS
    0.1000000000000000D+01    0.0000000000000000D+00
    0.0000000000000000D+00   -0.2400000000000000D+02
   -0.2640000000000000D+03    0.0000000000000000D+00
    0.0000000000000000D+00    0.1760000000000000D+04
    0.7920000000000000D+04    0.0000000000000000D+00
    0.0000000000000000D+00   -0.2534400000000000D+05
   -0.5913600000000000D+05    0.0000000000000000D+00
    0.0000000000000000D+00    0.1013760000000000D+06
    0.1267200000000000D+06    0.0000000000000000D+00
    0.0000000000000000D+00   -0.1126400000000000D+06
   -0.6758400000000000D+05    0.0000000000000000D+00
    0.0000000000000000D+00    0.2457600000000000D+05
    0.4095000000000000D+04    0.0000000000000000D+00



 ZEROS
   -0.4953489494060877D-11    0.1000000000005431D+01
   -0.4999999999966488D+00    0.1133974596222328D+01
    0.4999999999896089D+00    0.1133974596215979D+01
    0.8660254037646256D+00    0.1499999999987818D+01
   -0.8660254037683195D+00    0.1499999999997280D+01
   -0.8660254039027082D+00    0.2500000000063071D+01
   -0.1000000000006345D+01    0.1999999999948639D+01
    0.1000000000006982D+01    0.1999999999926461D+01
    0.8660254039597516D+00    0.2500000000043935D+01
   -0.6864675303928116D-10    0.2999999999692418D+01
    0.4999999998092675D+00    0.2866025404002586D+01
   -0.4999999997826134D+00    0.2866025403894057D+01