Irrationalities and their p-modular reductions

Common Irrationalities in Characteristic 43

C1  =  X + 40
C2  =  X2 + 42X + 3
C4  =  X4 + 5X2 + 42X + 3


ξ f Cn
b7 18 C1
b7∗∗ 24 C1
b33 13X + 36 C2
b33∗ 30X + 6 C2
c37 16 C1
c37∗2 22 C1
c37∗3 4 C1
i 4X + 41 C2
i2 27 C1
i7 37 C1
r2 21X + 11 C2
r3 9X + 17 C2
r5 7X + 18 C2
y''48 2X3 + 20X2 + 16X + 27 C4
y''48∗5 26X3 + 39X2 + 13X + 35 C4
y''48∗7 20X3 + 23X2 + 19X + 21 C4
y''48∗11 34X3 + X2 + 26X + 20 C4
y''48∗17 41X3 + 23X2 + 27X + 16 C4
y''48∗23 23X3 + 20X2 + 24X + 22 C4
y''48∗29 17X3 + 4X2 + 30X + 8 C4
y''48∗35 9X3 + 42X2 + 17X + 23 C4
z8 32X + 19 C2
z8∗3 11X + 8 C2
z8∗5 11X + 24 C2
z8∗7 32X + 35 C2




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