> load"/home/harashita-lab/Oga/CompletedCodes/IsomTest.txt"; Loading "/home/harashita-lab/Oga/CompletedCodes/IsomTest.txt" charcteristic of base field K: 5 compute time discriminant= 5.660 compute time Cartier-Manin matrix =0.000 ======================================== Superspecial DCEC's C=V(P,Q), where P,Q in L[X,Y,Z,W], and Q:=W^2 - q base field L: Finite field of size 5^4 field K : Finite field of size 5^2 field L0: Finite field of size 5^2 ======================================== ========================================= Isomrophism Classes and AutMorphism Groups ========================================= No. 1: Def. eq: P:=Y^2*Z - (X^3 + 0 *X*Z^2 + 4 *Z^3) Q:=W^2 - (0 *X^2 + 1 *X*Y + K.1^9 *X*Z + 0 *Y^2 +0 *Y*Z + 0 *Z^2) j-invariant of E=V(P): 0 UDCEC?: false Automorphism Group:C3*S5 index: Isom subNo. 1 of P(No.1) ---------------------------------------- ========================================= Each Isomrophism Class ========================================= No. 1 : P := Y^2Z - (X^3 + 0 X*Z^2 + 4 Z^3) ==================================== Isom subNo. 1 ---------------------------------------- q:= 0 *X^2 + 1 *X*Y + K.1^9 *X*Z + 0 *Y^2 +0 *Y*Z + 0 *Z^2 q:= 0 *X^2 + 1 *X*Y + K.1^21 *X*Z + 0 *Y^2 +0 *Y*Z + 0 *Z^2 q:= 0 *X^2 + 0 *X*Y + 0 *X*Z + 1 *Y^2 +0 *Y*Z + 2 *Z^2 compute time variety=0.010 compute time Total=17.840 Total time: 17.839 [25.676] seconds, Total memory usage: 280.81MB