Computing weak packets for 5 dual orbits of compact connected real group with Lie algebra 'g2'
Initializing CharacterTable for Lie type 'G2'
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Orbit by diagram: (simply connected adjoint root datum of Lie type 'G2',(),[  6, 10 ])
Skipping dual orbit (simply connected adjoint root datum of Lie type 'G2',(),[ 0, 0 ]) (d(O_check) has no real forms for G)
Orbit by diagram: (simply connected adjoint root datum of Lie type 'G2',(),[ 2, 4 ])
Skipping dual orbit (simply connected adjoint root datum of Lie type 'G2',(),[ 1, 0 ]) (d(O_check) has no real forms for G)
Orbit by diagram: (simply connected adjoint root datum of Lie type 'G2',(),[ 2, 4 ])
Skipping dual orbit (simply connected adjoint root datum of Lie type 'G2',(),[ 0, 1 ]) (d(O_check) has no real forms for G)
Orbit by diagram: (simply connected adjoint root datum of Lie type 'G2',(),[ 2, 4 ])
Skipping dual orbit (simply connected adjoint root datum of Lie type 'G2',(),[ 2, 0 ]) (d(O_check) has no real forms for G)
Orbit by diagram: (simply connected adjoint root datum of Lie type 'G2',(),[ 0, 0 ])

Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'G2' [ 2, 2 ] dim=12
Computing weak packets for compact connected real group with Lie algebra 'g2'
gamma:[ 3, 3 ]/1
gamma_final:[ 1, 1 ]/1
Initializing CharacterTable for Lie type 'G2'
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integral data: st_int
rd_int:simply connected adjoint root datum of Lie type 'G2'
st_int.rd: simply connected adjoint root datum of Lie type 'G2'
O_check_int:(simply connected adjoint root datum of Lie type 'G2',(),[ 2, 2 ])
permutation: 
| 1, 0 |
| 0, 1 |

computing packet for:(simply connected adjoint root datum of Lie type 'G2',(),[ 2, 2 ])
computing springer map of[0,0]
O: (simply connected adjoint root datum of Lie type 'G2',(),[ 0, 0 ])
survive:final parameter(x=0,lambda=[3,3]/1,nu=[0,0]/1) [ 1, 1 ]/1
cell character: 3 springer_O:3

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complex nilpotent orbits for compact connected real group with Lie algebra 'g2'
i: orbit number
H: semisimple element
BC Levi:  Bala-Carter Levi
Cent: identity component of Cent(SL(2))
Z(Cent^0): order of center of derived group of id. comp. of Centralizer
A(O): orders of conj. classes in component group of centralizer
#RF(O): number of real forms of O
C_2: conjugacy classes in Cent(SL(2))_0 with square 1
i  H       diagram  dim  BC Levi  Cent  Z(Cent^0)  A(O)     #RF(O)  C_2
0  [0,0]   [0,0]    0    2T1      G2    1          [1]      1       2  
1  [1,2]   [0,1]    6    A1+T1    A1    2          [1]      0       2  
2  [2,3]   [1,0]    8    A1+T1    A1    2          [1]      0       2  
3  [2,4]   [0,2]    10   G2       e     1          [1,2,3]  0       1  
4  [6,10]  [2,2]    12   G2       e     1          [1]      0       1  


Arthur parameters listed by orbit: 
#parameters by orbit: [2,2,2,2,1]
Total: 9

orbit #0 for G
#orbits for (disconnected) Cent(O): 2
K_0                                                   H         mult
root datum of Lie type 'A1.A1'                        [ 0, 0 ]  1   
simply connected adjoint root datum of Lie type 'G2'  [ 0, 0 ]  1   

orbit #1 for G
#orbits for (disconnected) Cent(O): 2
K_0                                                   H           mult
root datum of Lie type 'A1.A1'                        [ -1,  1 ]  1   
simply connected adjoint root datum of Lie type 'G2'  [ 1, 0 ]    1   

orbit #2 for G
#orbits for (disconnected) Cent(O): 2
K_0                                                   H           mult
root datum of Lie type 'A1.A1'                        [  3, -1 ]  1   
simply connected adjoint root datum of Lie type 'G2'  [ 0, 1 ]    1   

orbit #3 for G
#orbits for (disconnected) Cent(O): 2
K_0                                                   H         mult
root datum of Lie type 'A1.A1'                        [ 2, 0 ]  1   
simply connected adjoint root datum of Lie type 'G2'  [ 2, 0 ]  1   

orbit #4 for G
#orbits for (disconnected) Cent(O): 1
K_0                                                   H         mult
simply connected adjoint root datum of Lie type 'G2'  [ 2, 2 ]  1   

orbit  |packet|
4      1       
Total  1       

*: dual(cell) contains an Aq(lambda)
orbit#  block#  cell#  parameters
4       0       0      1         
Total           1                

*: dual(cell) contains an Aq(lambda)
*: dual(p) is an Aq(lambda)
orbit#  block#  cell#  parameters                                      inf. char.
4       0       0      final parameter(x=0,lambda=[1,1]/1,nu=[0,0]/1)  [ 1, 1 ]/1
Total                  1                                                         

set parameters=[
parameter(G,0,[ 1, 1 ]/1,[ 0, 0 ]/1)
]

Value: [([],[]),([],[]),([],[]),([],[]),([([final parameter(x=0,lambda=[3,3]/1,nu=[0,0]/1)],[([0],[([0,1],[])])])],[(0,0,final parameter(x=0,lambda=[1,1]/1,nu=[0,0]/1))])]