User:Bird of paradox/sandbox

Clebsh chrom poly (reduced):

x^12 - 34 x^11 + 565 x^10 - 6070 x^9 + 46879 x^8 - 273422 x^7 + 1230779 x^6 - 4292830 x^5 + 11473000 x^4 - 22831700 x^3 + 32000224 x^2 - 28260496 x + 11849190

Roots:

x≈1.2564302020675409838 + 4.4541014054866048226 i

x≈2.2520070335948785301 + 3.3390429983564341255 i

x≈2.8879632045261919436 + 2.4045747198479585856 i

x≈3.3776553323024358279 + 1.4542793728768093048 i

x≈3.6040843946460615077 + 0.7056478786412262087 i

x≈3.6218598328628912069 + 0.3510812407760383848 i

degree 2:

y = -0.121x^2 + 3.6303

R^2 = 0.9989

degree 4:

trend: y = 0.0007x^4 - 0.1338x^2 + 3.6532

R^2 = 0.9998

==

Paley(13)

x^8 - 29 x^7 + 390 x^6 - 3173 x^5 + 17041 x^4 - 61650 x^3 + 146061 x^2 - 206095 x + 131827

x≈2.6998177962705097625 + 3.9681230052352624855 i

x≈3.7988474449060372102 + 2.4675371106553789917 i

x≈3.9708479861618882983 + 1.1620815264961869514 i

x≈4.0304867726615647289 + 0.2180420720212126180 i

degree 4:

y = -0.0049x^4 - 0.007x^2 + 4.0134

R^2 = 0.9992