uniform                      m=3   unit=True sturm=True taylor=True (bisection nodes 4) -> OK
uniform                      m=5   unit=True sturm=True taylor=True (bisection nodes 12) -> OK
uniform                      m=7   unit=True sturm=True taylor=True (bisection nodes 26) -> OK
uniform                      m=9   unit=True sturm=True taylor=True (bisection nodes 46) -> OK
uniform                      m=11  unit=True sturm=True taylor=True (bisection nodes 72) -> OK
uniform                      m=13  unit=True sturm=True taylor=True (bisection nodes 102) -> OK
uniform                      m=15  unit=True sturm=True taylor=True (bisection nodes 138) -> OK
zero-sum (29)                m=3   unit=True sturm=True taylor=True (bisection nodes 6) -> OK
zero-sum (29)                m=5   unit=True sturm=True taylor=True (bisection nodes 10) -> OK
zero-sum (29)                m=7   unit=True sturm=True taylor=True (bisection nodes 28) -> OK
zero-sum (29)                m=9   unit=True sturm=True taylor=True (bisection nodes 48) -> OK
zero-sum (29)                m=11  unit=True sturm=True taylor=True (bisection nodes 70) -> OK
zero-sum (29)                m=13  unit=True sturm=True taylor=True (bisection nodes 100) -> OK
zero-sum (29)                m=15  unit=True sturm=True taylor=True (bisection nodes 134) -> OK
1..m                         m=5   unit=True sturm=True taylor=True (bisection nodes 14) -> OK
alt 1..m                     m=5   unit=True sturm=True taylor=True (bisection nodes 14) -> OK
1..m                         m=9   unit=True sturm=True taylor=True (bisection nodes 54) -> OK
alt 1..m                     m=9   unit=True sturm=True taylor=True (bisection nodes 54) -> OK
1..m                         m=13  unit=True sturm=True taylor=True (bisection nodes 116) -> OK
alt 1..m                     m=13  unit=True sturm=True taylor=True (bisection nodes 116) -> OK
powers of 10, random signs   m=5   unit=True sturm=True taylor=True (bisection nodes 92) -> OK
powers of 10, random signs   m=7   unit=True sturm=True taylor=True (bisection nodes 200) -> OK
powers of 10, random signs   m=9   unit=True sturm=True taylor=True (bisection nodes 362) -> OK
powers of 10, random signs   m=11  unit=True sturm=True taylor=True (bisection nodes 626) -> OK
one dominant 10^6            m=5   unit=True sturm=True taylor=True (bisection nodes 218) -> OK
one tiny 10^-6               m=5   unit=True sturm=True taylor=True (bisection nodes 78) -> OK
k+1 equal big, k tiny        m=5   unit=True sturm=True taylor=True (bisection nodes 78) -> OK
k+1 tiny, k big              m=5   unit=True sturm=True taylor=True (bisection nodes 86) -> OK
one dominant 10^6            m=9   unit=True sturm=True taylor=True (bisection nodes 366) -> OK
one tiny 10^-6               m=9   unit=True sturm=True taylor=True (bisection nodes 132) -> OK
k+1 equal big, k tiny        m=9   unit=True sturm=True taylor=True (bisection nodes 404) -> OK
k+1 tiny, k big              m=9   unit=True sturm=True taylor=True (bisection nodes 184) -> OK
random #0                    m=11  unit=True sturm=True taylor=True (bisection nodes 578) -> OK
random #1                    m=9   unit=True sturm=True taylor=True (bisection nodes 538) -> OK
random #2                    m=15  unit=True sturm=True taylor=True (bisection nodes 888) -> OK
random #3                    m=9   unit=True sturm=True taylor=True (bisection nodes 526) -> OK
random #4                    m=7   unit=True sturm=True taylor=True (bisection nodes 170) -> OK
random #5                    m=3   unit=True sturm=True taylor=True (bisection nodes 58) -> OK
random #6                    m=5   unit=True sturm=True taylor=True (bisection nodes 84) -> OK
random #7                    m=3   unit=True sturm=True taylor=True (bisection nodes 28) -> OK
random #8                    m=11  unit=True sturm=True taylor=True (bisection nodes 514) -> OK
random #9                    m=15  unit=True sturm=True taylor=True (bisection nodes 946) -> OK
random #10                   m=5   unit=True sturm=True taylor=True (bisection nodes 184) -> OK
random #11                   m=13  unit=True sturm=True taylor=True (bisection nodes 800) -> OK
random #12                   m=9   unit=True sturm=True taylor=True (bisection nodes 290) -> OK
random #13                   m=9   unit=True sturm=True taylor=True (bisection nodes 238) -> OK
random #14                   m=13  unit=True sturm=True taylor=True (bisection nodes 502) -> OK
random #15                   m=3   unit=True sturm=True taylor=True (bisection nodes 44) -> OK
random #16                   m=7   unit=True sturm=True taylor=True (bisection nodes 260) -> OK
random #17                   m=7   unit=True sturm=True taylor=True (bisection nodes 150) -> OK
random #18                   m=7   unit=True sturm=True taylor=True (bisection nodes 254) -> OK
random #19                   m=13  unit=True sturm=True taylor=True (bisection nodes 666) -> OK
random #20                   m=5   unit=True sturm=True taylor=True (bisection nodes 140) -> OK
random #21                   m=15  unit=True sturm=True taylor=True (bisection nodes 1090) -> OK
random #22                   m=7   unit=True sturm=True taylor=True (bisection nodes 352) -> OK
random #23                   m=3   unit=True sturm=True taylor=True (bisection nodes 84) -> OK
random #24                   m=15  unit=True sturm=True taylor=True (bisection nodes 724) -> OK
random #25                   m=3   unit=True sturm=True taylor=True (bisection nodes 62) -> OK
random #26                   m=7   unit=True sturm=True taylor=True (bisection nodes 164) -> OK
random #27                   m=15  unit=True sturm=True taylor=True (bisection nodes 718) -> OK
random #28                   m=11  unit=True sturm=True taylor=True (bisection nodes 356) -> OK
random #29                   m=15  unit=True sturm=True taylor=True (bisection nodes 934) -> OK
random #30                   m=3   unit=True sturm=True taylor=True (bisection nodes 12) -> OK
random #31                   m=15  unit=True sturm=True taylor=True (bisection nodes 966) -> OK
random #32                   m=9   unit=True sturm=True taylor=True (bisection nodes 282) -> OK
random #33                   m=13  unit=True sturm=True taylor=True (bisection nodes 458) -> OK
random #34                   m=15  unit=True sturm=True taylor=True (bisection nodes 958) -> OK
random #35                   m=9   unit=True sturm=True taylor=True (bisection nodes 320) -> OK
random #36                   m=5   unit=True sturm=True taylor=True (bisection nodes 158) -> OK
random #37                   m=9   unit=True sturm=True taylor=True (bisection nodes 166) -> OK
random #38                   m=9   unit=True sturm=True taylor=True (bisection nodes 374) -> OK
random #39                   m=7   unit=True sturm=True taylor=True (bisection nodes 262) -> OK
random #40                   m=5   unit=True sturm=True taylor=True (bisection nodes 168) -> OK
random #41                   m=15  unit=True sturm=True taylor=True (bisection nodes 794) -> OK
random #42                   m=5   unit=True sturm=True taylor=True (bisection nodes 220) -> OK
random #43                   m=13  unit=True sturm=True taylor=True (bisection nodes 764) -> OK
random #44                   m=15  unit=True sturm=True taylor=True (bisection nodes 746) -> OK
random #45                   m=13  unit=True sturm=True taylor=True (bisection nodes 552) -> OK
random #46                   m=13  unit=True sturm=True taylor=True (bisection nodes 676) -> OK
random #47                   m=7   unit=True sturm=True taylor=True (bisection nodes 182) -> OK
random #48                   m=7   unit=True sturm=True taylor=True (bisection nodes 164) -> OK
random #49                   m=7   unit=True sturm=True taylor=True (bisection nodes 186) -> OK
records per m: {3: 8, 5: 15, 7: 13, 9: 17, 11: 6, 13: 11, 15: 12}
records 82; ALL CERTIFIED BY BOTH METHODS; 776.4s
example m=5, uniform weights: 10625*P coefficients (x^4, x^3y, ..., y^4) = ['3501', '-5928', '8688', '-4608', '3072'] no zero on S^1: True
worked example (Example 2.8): b*, g_(L1), g_T, L2, 18 g_(L2), rays, 5^6*13*17/4 * P, Gram matrix and minors 923481, 555086428407, 296959066692499712: ALL CONFIRMED
