Example V1-7: This is a case where we have two copies of conjuguates exponential parts by the action x-t^2=0 (mu=2,d=1,r=1) 

 

> A := rtable(1 .. 4, 1 .. 4, [[`+`(`/`(`*`(2), `*`(`^`(x, 3))), `-`(`/`(1, `*`(`^`(x, 2))))), `+`(`-`(`/`(1, `*`(`^`(x, 6)))), `/`(1, `*`(`^`(x, 5))), `/`(`*`(2), `*`(`^`(x, 4))), `-`(`/`(1, `*`(`^`(x,...
 

> Exp_part(A, x, t)
 

 

 

 

 

 

 

 

 

 

 

[rtable(1 .. 4, 1 .. 4, [[`+`(`-`(`*`(22, `*`(`^`(x, 2)))), x, 11), `+`(`-`(`/`(`*`(8), `*`(x))), `-`(21), `-`(`*`(13, `*`(x)))), `+`(`/`(`*`(16), `*`(x)), 29, `*`(22, `*`(x))), `+`(`/`(`*`(8), `*`(x)...
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
The first few terms of the transformation P in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
List of subsystem up to conjugaison after a first maximal Decomposition in C((x)):
dim of the eigenring
List of ramification of each subsystem:
We apply the ramification and do elementary tranformations.
List of eigenvalue of A0:
List of exponential parts of the system
[`+`(`/`(1, `*`(`^`(t, 7))), `/`(1, `*`(`^`(t, 6))), `-`(`/`(`*`(`/`(7, 4)), `*`(`^`(t, 2))))), x = `*`(`^`(t, 2))] (13.1)
 

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