Computing weak packets for 16 dual orbits of connected split real group with Lie algebra 'f4(R)' Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 22, 42, 30, 16 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 0, 0 ] dim=0 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 2, 2, 2, 2 ]/1 gamma_final:[ 0, 0, 0, 0 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 0, 0 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 0, 0 ]) computing springer map of[2,2,2,2] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 22, 42, 30, 16 ]) survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[2,2,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 0 springer_O:0 survive:final parameter(x=110,lambda=[5,1,1,1]/1,nu=[-6,2,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 0 springer_O:0 survive:final parameter(x=0,lambda=[2,2,2,2]/1,nu=[0,0,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 0 springer_O:0 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 14, 26, 18, 10 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 0, 1 ] dim=16 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 4, 4, 4, 5 ]/2 gamma_final:[ 0, 0, 0, 1 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.A1' st_int.rd: simply connected root datum of Lie type 'B3.A1' O_check_int:(adjoint root datum of Lie type 'C3.A1',(),[ 0, 0, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'C3.A1',(),[ 0, 0, 0, 2 ]) computing springer map of[2,2,2,0] O: (simply connected root datum of Lie type 'B3.A1',(),[ 6, 10, 6, 0 ]) survive:final parameter(x=111,lambda=[1,1,1,7]/1,nu=[2,2,2,-9]/1) [ 0, 0, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[4,4,4,5]/2) [ 0, 0, 0, 1 ]/2 cell character: 18 springer_O:18 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[4,4,4,5]/2) [ 0, 0, 0, 1 ]/2 cell character: 18 springer_O:18 survive:final parameter(x=28,lambda=[1,3,1,3]/1,nu=[2,-2,2,-1]/1) [ 0, 0, 0, 1 ]/2 survive:final parameter(x=195,lambda=[1,3,1,-2]/1,nu=[4,-4,4,21]/2) [ 0, 0, 0, 1 ]/2 cell character: 18 springer_O:18 survive:final parameter(x=195,lambda=[1,3,1,-3]/1,nu=[4,-4,4,21]/2) [ 0, 0, 0, 1 ]/2 cell character: 18 springer_O:18 survive:final parameter(x=168,lambda=[2,2,2,-3]/1,nu=[0,0,0,23]/2) [ 0, 0, 0, 1 ]/2 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 14, 26, 18, 10 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 1, 0, 0, 0 ] dim=22 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 5, 4, 4, 4 ]/2 gamma_final:[ 1, 0, 0, 0 ]/2 integral data: st_int rd_int:adjoint root datum of Lie type 'C4' st_int.rd: simply connected root datum of Lie type 'C4' O_check_int:(adjoint root datum of Lie type 'B4',(),[ 2, 0, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'B4',(),[ 2, 0, 0, 0 ]) computing springer map of[2,2,0,2] O: (simply connected root datum of Lie type 'C4',(),[ 5, 8, 9, 10 ]) dim: 1 4 survive:final parameter(x=45,lambda=[4,1,1,4]/1,nu=[-3,2,2,-4]/1) [ 1, 0, 0, 0 ]/2 survive:final parameter(x=190,lambda=[-1,3,1,2]/1,nu=[15,4,-4,0]/2) [ 1, 0, 0, 0 ]/2 cell character: 14 springer_O:14 survive:final parameter(x=111,lambda=[1,1,1,7]/1,nu=[5,4,4,-19]/2) [ 1, 0, 0, 0 ]/2 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[5,4,4,4]/2) [ 1, 0, 0, 0 ]/2 cell character: 14 springer_O:14 survive:final parameter(x=111,lambda=[2,1,1,6]/1,nu=[5,4,4,-19]/2) [ 1, 0, 0, 0 ]/2 survive:final parameter(x=228,lambda=[2,1,1,1]/1,nu=[5,4,4,4]/2) [ 1, 0, 0, 0 ]/2 cell character: 14 springer_O:14 dim: 1 4 survive:final parameter(x=19,lambda=[3,1,3,2]/1,nu=[-1,2,-2,0]/1) [ 1, 0, 0, 0 ]/2 survive:final parameter(x=210,lambda=[-1,3,1,2]/1,nu=[11,4,4,-8]/2) [ 1, 0, 0, 0 ]/2 cell character: 14 springer_O:14 survive:final parameter(x=72,lambda=[0,1,3,5]/1,nu=[9,4,-4,-11]/2) [ 1, 0, 0, 0 ]/2 survive:final parameter(x=171,lambda=[-2,2,2,2]/1,nu=[17,0,0,0]/2) [ 1, 0, 0, 0 ]/2 cell character: 14 springer_O:14 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 10, 20, 14, 8 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 1, 0 ] dim=28 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 4, 4, 5, 4 ]/2 gamma_final:[ 0, 0, 1, 0 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.A1' st_int.rd: simply connected root datum of Lie type 'B3.A1' O_check_int:(adjoint root datum of Lie type 'C3.A1',(),[ 0, 0, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'C3.A1',(),[ 0, 0, 2, 0 ]) computing springer map of[0,2,0,2] O: (simply connected root datum of Lie type 'B3.A1',(),[ 2, 4, 2, 1 ]) dim: 1 3 survive:final parameter(x=88,lambda=[5,2,0,1]/1,nu=[-11,0,9,4]/2) [ 0, 0, 1, 0 ]/2 survive:final parameter(x=153,lambda=[1,6,-4,1]/1,nu=[4,-15,24,4]/2) [ 0, 0, 1, 0 ]/2 survive:final parameter(x=88,lambda=[4,2,1,1]/1,nu=[-11,0,9,4]/2) [ 0, 0, 1, 0 ]/2 survive:final parameter(x=153,lambda=[1,5,-2,1]/1,nu=[4,-15,24,4]/2) [ 0, 0, 1, 0 ]/2 survive:final parameter(x=134,lambda=[2,5,-4,3]/1,nu=[0,-13,24,4]/2) [ 0, 0, 1, 0 ]/2 cell character: 9 springer_O:9 survive:final parameter(x=89,lambda=[5,2,0,1]/1,nu=[-11,0,9,4]/2) [ 0, 0, 1, 0 ]/2 survive:final parameter(x=89,lambda=[4,2,1,1]/1,nu=[-11,0,9,4]/2) [ 0, 0, 1, 0 ]/2 survive:final parameter(x=217,lambda=[2,2,-1,1]/1,nu=[0,0,13,4]/2) [ 0, 0, 1, 0 ]/2 cell character: 9 springer_O:9 survive:final parameter(x=217,lambda=[2,2,0,1]/1,nu=[0,0,13,4]/2) [ 0, 0, 1, 0 ]/2 cell character: 9 springer_O:9 survive:final parameter(x=228,lambda=[1,1,2,1]/1,nu=[4,4,5,4]/2) [ 0, 0, 1, 0 ]/2 cell character: 9 springer_O:9 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[4,4,5,4]/2) [ 0, 0, 1, 0 ]/2 cell character: 9 springer_O:9 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=211,lambda=[2,2,-1,2]/1,nu=[0,0,15,0]/2) [ 0, 0, 1, 0 ]/2 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 10, 19, 14, 8 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 2, 0, 0, 0 ] dim=30 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 3, 2, 2, 2 ]/1 gamma_final:[ 1, 0, 0, 0 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 0, 0, 0 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 0, 0, 0 ]) computing springer map of[1,0,1,2] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 10, 19, 14, 8 ]) dim: 1 8 dim: 6 8 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[3,2,2,2]/1) [ 1, 0, 0, 0 ]/1 cell character: 22 springer_O:22 dim: 1 8 dim: 1 8 dim: 6 8 survive:final parameter(x=22,lambda=[1,3,2,2]/1,nu=[6,-3,0,0]/2) [ 1, 0, 0, 0 ]/1 dim: 6 8 survive:final parameter(x=98,lambda=[-3,4,2,2]/1,nu=[21,-7,0,0]/2) [ 1, 0, 0, 0 ]/1 survive:final parameter(x=171,lambda=[-2,2,2,2]/1,nu=[9,0,0,0]/1) [ 1, 0, 0, 0 ]/1 cell character: 22 springer_O:22 survive:final parameter(x=190,lambda=[-1,3,1,2]/1,nu=[8,2,-2,0]/1) [ 1, 0, 0, 0 ]/1 dim: 6 8 dim: 6 8 dim: 1 8 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 10, 18, 12, 6 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 0, 2 ] dim=30 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 2, 2, 2, 3 ]/1 gamma_final:[ 0, 0, 0, 1 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 0, 2 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 0, 2 ]) computing springer map of[2,2,0,0] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 10, 18, 12, 6 ]) dim: 1 8 dim: 6 8 survive:final parameter(x=87,lambda=[2,2,4,-3]/1,nu=[0,0,-9,27]/2) [ 0, 0, 0, 1 ]/1 dim: 6 8 survive:final parameter(x=49,lambda=[4,2,2,-1]/1,nu=[-7,0,0,14]/2) [ 0, 0, 0, 1 ]/1 survive:final parameter(x=133,lambda=[3,1,4,-1]/1,nu=[4,4,-17,27]/2) [ 0, 0, 0, 1 ]/1 survive:final parameter(x=168,lambda=[2,2,2,-3]/1,nu=[0,0,0,12]/1) [ 0, 0, 0, 1 ]/1 cell character: 20 springer_O:20 survive:final parameter(x=195,lambda=[1,3,1,-2]/1,nu=[2,-2,2,11]/1) [ 0, 0, 0, 1 ]/1 cell character: 20 springer_O:20 survive:final parameter(x=66,lambda=[2,3,1,2]/1,nu=[-9,4,-4,14]/2) [ 0, 0, 0, 1 ]/1 cell character: 20 springer_O:20 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[2,2,2,3]/1) [ 0, 0, 0, 1 ]/1 cell character: 20 springer_O:20 dim: 6 8 dim: 6 8 dim: 1 8 dim: 1 8 dim: 1 8 dim: 6 8 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 6, 12, 8, 4 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 1, 0, 0 ] dim=34 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 4, 5, 4, 4 ]/2 gamma_final:[ 0, 1, 0, 0 ]/2 integral data: st_int rd_int:adjoint root datum of Lie type 'C4' st_int.rd: simply connected root datum of Lie type 'C4' O_check_int:(adjoint root datum of Lie type 'B4',(),[ 0, 0, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'B4',(),[ 0, 0, 2, 0 ]) computing springer map of[0,1,1,0] O: (simply connected root datum of Lie type 'C4',(),[ 2, 4, 5, 5 ]) dim: 1 6 survive:final parameter(x=76,lambda=[2,0,2,7]/1,nu=[0,9,0,-18]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=77,lambda=[2,0,2,7]/1,nu=[0,9,0,-18]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=93,lambda=[3,0,3,4]/1,nu=[-9,18,-9,-9]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=145,lambda=[3,-2,6,2]/1,nu=[2,9,-10,0]/1) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=138,lambda=[2,-2,7,1]/1,nu=[0,10,-11,2]/1) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=175,lambda=[5,-3,5,1]/1,nu=[-11,20,-11,4]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=175,lambda=[4,-1,4,1]/1,nu=[-11,20,-11,4]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=212,lambda=[2,0,2,2]/1,nu=[0,11,0,0]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=137,lambda=[2,-2,7,1]/1,nu=[0,10,-11,2]/1) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=228,lambda=[1,2,1,1]/1,nu=[4,5,4,4]/2) [ 0, 1, 0, 0 ]/2 cell character: 9 springer_O:9 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[4,5,4,4]/2) [ 0, 1, 0, 0 ]/2 cell character: 9 springer_O:9 dim: 1 6 survive:final parameter(x=137,lambda=[2,-3,8,1]/1,nu=[0,10,-11,2]/1) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=138,lambda=[2,-3,8,1]/1,nu=[0,10,-11,2]/1) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=175,lambda=[5,-2,4,1]/1,nu=[-11,20,-11,4]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=220,lambda=[1,0,2,2]/1,nu=[4,9,0,0]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=175,lambda=[4,-2,5,1]/1,nu=[-11,20,-11,4]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=220,lambda=[1,0,3,1]/1,nu=[4,9,0,0]/2) [ 0, 1, 0, 0 ]/2 survive:final parameter(x=224,lambda=[2,1,1,1]/1,nu=[0,7,4,4]/2) [ 0, 1, 0, 0 ]/2 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 6, 12, 8, 4 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 1, 0, 0, 2 ] dim=36 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 5, 4, 4, 6 ]/2 gamma_final:[ 1, 0, 0, 2 ]/2 integral data: st_int rd_int:adjoint root datum of Lie type 'C4' st_int.rd: simply connected root datum of Lie type 'C4' O_check_int:(adjoint root datum of Lie type 'B4',(),[ 2, 2, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'B4',(),[ 2, 2, 0, 0 ]) computing springer map of[2,0,1,0] O: (simply connected root datum of Lie type 'C4',(),[ 3, 4, 5, 5 ]) dim: 1 6 survive:final parameter(x=45,lambda=[4,1,1,5]/1,nu=[-3,2,2,-4]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=65,lambda=[5,1,3,-1]/1,nu=[-9,4,-4,14]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=66,lambda=[5,1,3,-1]/1,nu=[-9,4,-4,14]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=190,lambda=[-2,1,3,3]/1,nu=[8,2,-2,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=111,lambda=[1,1,1,8]/1,nu=[5,4,4,-19]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=133,lambda=[1,1,7,-5]/1,nu=[5,4,-18,28]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=207,lambda=[4,1,1,-2]/1,nu=[-6,4,4,17]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[5,4,4,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=111,lambda=[2,1,1,7]/1,nu=[5,4,4,-19]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=133,lambda=[2,1,6,-4]/1,nu=[5,4,-18,28]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=207,lambda=[4,1,1,-1]/1,nu=[-6,4,4,17]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=228,lambda=[2,1,1,2]/1,nu=[5,4,4,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=191,lambda=[-2,1,3,3]/1,nu=[8,2,-2,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=214,lambda=[0,2,2,0]/1,nu=[11,0,0,14]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=196,lambda=[-1,1,4,1]/1,nu=[16,4,-7,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=228,lambda=[2,1,1,1]/1,nu=[5,4,4,6]/2) [ 1, 0, 0, 2 ]/2 cell character: 10 springer_O:10 survive:final parameter(x=196,lambda=[-2,1,4,1]/1,nu=[16,4,-7,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[5,4,4,6]/2) [ 1, 0, 0, 2 ]/2 cell character: 10 springer_O:10 dim: 1 6 survive:final parameter(x=19,lambda=[3,1,3,3]/1,nu=[-1,2,-2,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=26,lambda=[3,1,4,1]/1,nu=[-2,4,-7,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=110,lambda=[6,1,1,1]/1,nu=[-13,4,4,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=210,lambda=[-1,1,1,5]/1,nu=[6,2,2,-4]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=20,lambda=[3,1,3,3]/1,nu=[-1,2,-2,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=72,lambda=[0,1,3,6]/1,nu=[9,4,-4,-11]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=49,lambda=[4,2,2,0]/1,nu=[-7,0,0,14]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=171,lambda=[-2,2,2,3]/1,nu=[9,0,0,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=21,lambda=[3,1,3,3]/1,nu=[-1,2,-2,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=51,lambda=[4,2,2,0]/1,nu=[-7,0,0,14]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=119,lambda=[1,2,5,-3]/1,nu=[7,0,-14,28]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=187,lambda=[-2,2,2,3]/1,nu=[18,0,-3,6]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=214,lambda=[0,2,2,1]/1,nu=[11,0,0,14]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=100,lambda=[-1,1,7,-1]/1,nu=[6,2,-9,7]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=180,lambda=[3,1,3,-4]/1,nu=[-2,4,-4,25]/2) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=173,lambda=[-2,2,2,3]/1,nu=[9,0,0,0]/1) [ 1, 0, 0, 2 ]/2 survive:final parameter(x=219,lambda=[0,1,3,0]/1,nu=[9,4,-4,14]/2) [ 1, 0, 0, 2 ]/2 cell character: 10 springer_O:10 survive:final parameter(x=219,lambda=[0,1,3,-1]/1,nu=[9,4,-4,14]/2) [ 1, 0, 0, 2 ]/2 cell character: 10 springer_O:10 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 6, 12, 8, 4 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 1, 0, 1, 0 ] dim=36 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 5, 4, 5, 4 ]/2 gamma_final:[ 1, 0, 1, 0 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.A1' st_int.rd: simply connected root datum of Lie type 'B3.A1' O_check_int:(adjoint root datum of Lie type 'C3.A1',(),[ 0, 2, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'C3.A1',(),[ 0, 2, 0, 2 ]) computing springer map of[1,0,1,0] O: (simply connected root datum of Lie type 'B3.A1',(),[ 2, 3, 2, 0 ]) dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=143,lambda=[-2,4,-2,7]/1,nu=[16,-7,16,-18]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=187,lambda=[-2,2,2,3]/1,nu=[9,0,-1,2]/1) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=176,lambda=[2,3,-3,6]/1,nu=[5,-7,27,-18]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=225,lambda=[0,2,1,1]/1,nu=[7,0,9,4]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=176,lambda=[1,4,-4,6]/1,nu=[5,-7,27,-18]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=225,lambda=[0,2,2,1]/1,nu=[7,0,9,4]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=196,lambda=[-2,1,4,1]/1,nu=[8,2,-3,2]/1) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[5,4,5,4]/2) [ 1, 0, 1, 0 ]/2 cell character: 10 springer_O:10 survive:final parameter(x=228,lambda=[2,1,2,1]/1,nu=[5,4,5,4]/2) [ 1, 0, 1, 0 ]/2 cell character: 10 springer_O:10 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=141,lambda=[3,4,-2,2]/1,nu=[5,-16,27,0]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=141,lambda=[2,5,-3,2]/1,nu=[5,-16,27,0]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=90,lambda=[3,3,-1,4]/1,nu=[-4,-7,25,-14]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=75,lambda=[5,2,0,2]/1,nu=[-11,0,11,0]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=176,lambda=[2,3,-2,5]/1,nu=[5,-7,27,-18]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=176,lambda=[1,4,-5,7]/1,nu=[5,-7,27,-18]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=223,lambda=[0,2,1,2]/1,nu=[7,0,11,0]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=227,lambda=[1,3,-1,2]/1,nu=[5,4,7,0]/2) [ 1, 0, 1, 0 ]/2 survive:final parameter(x=227,lambda=[2,3,-1,2]/1,nu=[5,4,7,0]/2) [ 1, 0, 1, 0 ]/2 dim: 1 3 dim: 1 3 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 6, 12, 8, 4 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 1, 0, 1 ] dim=38 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 4, 5, 4, 5 ]/2 gamma_final:[ 0, 1, 0, 1 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.A1' st_int.rd: simply connected root datum of Lie type 'B3.A1' O_check_int:(adjoint root datum of Lie type 'C3.A1',(),[ 2, 0, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'C3.A1',(),[ 2, 0, 2, 0 ]) computing springer map of[2,0,0,2] O: (simply connected root datum of Lie type 'B3.A1',(),[ 2, 2, 1, 1 ]) dim: 1 3 survive:final parameter(x=44,lambda=[3,2,1,4]/1,nu=[-7,5,4,-9]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=111,lambda=[1,2,1,6]/1,nu=[4,5,4,-20]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=177,lambda=[2,3,1,-4]/1,nu=[0,-2,4,23]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=44,lambda=[4,1,1,5]/1,nu=[-7,5,4,-9]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=111,lambda=[1,1,1,8]/1,nu=[4,5,4,-20]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=177,lambda=[2,3,1,-3]/1,nu=[0,-2,4,23]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=16,lambda=[2,3,1,3]/1,nu=[0,-1,2,-1]/1) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=94,lambda=[2,0,3,6]/1,nu=[0,7,4,-20]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=45,lambda=[3,2,1,4]/1,nu=[-7,5,4,-9]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=45,lambda=[4,1,1,5]/1,nu=[-7,5,4,-9]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=63,lambda=[4,3,1,-1]/1,nu=[-7,-2,4,12]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=110,lambda=[6,1,1,1]/1,nu=[-14,5,4,5]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=194,lambda=[4,-1,1,5]/1,nu=[-5,14,4,-13]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[3,2,1,-2]/1,nu=[-7,5,4,16]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,2,1,1]/1,nu=[4,5,4,5]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=178,lambda=[2,3,1,-4]/1,nu=[0,-2,4,23]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=224,lambda=[2,1,1,2]/1,nu=[0,7,4,5]/2) [ 0, 1, 0, 1 ]/2 cell character: 7 springer_O:7 survive:final parameter(x=110,lambda=[4,2,1,2]/1,nu=[-14,5,4,5]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=194,lambda=[4,0,1,4]/1,nu=[-5,14,4,-13]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[4,1,1,-2]/1,nu=[-7,5,4,16]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[4,5,4,5]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=178,lambda=[2,3,1,-3]/1,nu=[0,-2,4,23]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=224,lambda=[2,1,1,1]/1,nu=[0,7,4,5]/2) [ 0, 1, 0, 1 ]/2 cell character: 7 springer_O:7 survive:final parameter(x=159,lambda=[6,-2,3,2]/1,nu=[-8,7,2,-1]/1) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[4,1,1,-1]/1,nu=[-7,5,4,16]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[4,5,4,5]/2) [ 0, 1, 0, 1 ]/2 cell character: 7 springer_O:7 survive:final parameter(x=207,lambda=[3,2,1,-1]/1,nu=[-7,5,4,16]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,2,1,2]/1,nu=[4,5,4,5]/2) [ 0, 1, 0, 1 ]/2 cell character: 7 springer_O:7 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=184,lambda=[4,-1,2,4]/1,nu=[-5,16,0,-11]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=185,lambda=[3,2,2,-3]/1,nu=[4,-2,0,25]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=226,lambda=[1,1,2,2]/1,nu=[4,7,0,7]/2) [ 0, 1, 0, 1 ]/2 survive:final parameter(x=221,lambda=[2,1,2,0]/1,nu=[0,9,0,7]/2) [ 0, 1, 0, 1 ]/2 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 6, 12, 8, 4 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 2, 0 ] dim=40 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 2, 2, 3, 2 ]/1 gamma_final:[ 0, 0, 1, 0 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 2, 0 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 2, 0 ]) computing springer map of[0,2,0,0] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 6, 12, 8, 4 ]) dim: 1 12 dim: 6 12 dim: 9 12 dim: 6 12 dim: 9 12 dim: 8 12 dim: 9 12 dim: 8 12 dim: 8 12 survive:final parameter(x=90,lambda=[3,3,-1,4]/1,nu=[-5,-7,26,-14]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=135,lambda=[4,4,-5,4]/1,nu=[-7,-7,28,-7]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=179,lambda=[3,2,-2,5]/1,nu=[-7,0,23,-9]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=211,lambda=[2,2,-1,2]/1,nu=[0,0,8,0]/1) [ 0, 0, 1, 0 ]/1 cell character: 15 springer_O:15 survive:final parameter(x=33,lambda=[3,2,1,4]/1,nu=[-5,0,10,-10]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=126,lambda=[2,6,-5,2]/1,nu=[0,-7,14,0]/1) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=156,lambda=[2,3,-3,6]/1,nu=[0,-5,28,-18]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=193,lambda=[4,1,0,3]/1,nu=[-9,4,19,-9]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[2,2,3,2]/1) [ 0, 0, 1, 0 ]/1 cell character: 15 springer_O:15 dim: 8 12 dim: 8 12 survive:final parameter(x=75,lambda=[5,2,0,2]/1,nu=[-6,0,6,0]/1) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=156,lambda=[2,3,-2,5]/1,nu=[0,-5,28,-18]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=157,lambda=[2,3,-3,6]/1,nu=[0,-5,28,-18]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=157,lambda=[2,3,-2,5]/1,nu=[0,-5,28,-18]/2) [ 0, 0, 1, 0 ]/1 survive:final parameter(x=217,lambda=[2,2,-1,1]/1,nu=[0,0,7,2]/1) [ 0, 0, 1, 0 ]/1 cell character: 15 springer_O:15 dim: 8 12 dim: 8 12 dim: 8 12 dim: 9 12 dim: 8 12 dim: 9 12 dim: 9 12 dim: 6 12 dim: 8 12 dim: 6 12 dim: 1 12 dim: 1 12 dim: 1 12 dim: 6 12 dim: 8 12 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 4, 8, 6, 4 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 2, 1, 0, 1 ] dim=42 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 6, 5, 4, 5 ]/2 gamma_final:[ 2, 1, 0, 1 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.A1' st_int.rd: simply connected root datum of Lie type 'B3.A1' O_check_int:(adjoint root datum of Lie type 'C3.A1',(),[ 2, 2, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'C3.A1',(),[ 2, 2, 2, 0 ]) computing springer map of[0,0,0,2] O: (simply connected root datum of Lie type 'B3.A1',(),[ 0, 0, 0, 1 ]) survive:final parameter(x=15,lambda=[3,3,1,3]/1,nu=[0,-1,2,-1]/1) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=44,lambda=[4,2,1,4]/1,nu=[-7,5,4,-9]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=70,lambda=[0,3,1,6]/1,nu=[13,-2,4,-15]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=111,lambda=[2,2,1,6]/1,nu=[6,5,4,-22]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=177,lambda=[3,3,1,-4]/1,nu=[0,-2,4,25]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=44,lambda=[5,1,1,5]/1,nu=[-7,5,4,-9]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=70,lambda=[-1,3,1,7]/1,nu=[13,-2,4,-15]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=111,lambda=[2,1,1,8]/1,nu=[6,5,4,-22]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=177,lambda=[3,3,1,-5]/1,nu=[0,-2,4,25]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=16,lambda=[3,3,1,3]/1,nu=[0,-1,2,-1]/1) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=28,lambda=[1,4,1,3]/1,nu=[6,-5,4,-2]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=94,lambda=[3,0,1,9]/1,nu=[0,4,2,-11]/1) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=17,lambda=[3,3,1,3]/1,nu=[0,-1,2,-1]/1) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=45,lambda=[4,2,1,4]/1,nu=[-7,5,4,-9]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=45,lambda=[5,1,1,5]/1,nu=[-7,5,4,-9]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=63,lambda=[5,3,1,-1]/1,nu=[-7,-2,4,12]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=110,lambda=[7,1,1,1]/1,nu=[-14,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=132,lambda=[-4,6,1,1]/1,nu=[23,-12,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=194,lambda=[4,-2,1,7]/1,nu=[-4,15,4,-15]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[4,2,1,-2]/1,nu=[-7,5,4,18]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=218,lambda=[0,3,1,0]/1,nu=[13,-2,4,12]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[2,2,1,1]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=71,lambda=[0,3,1,6]/1,nu=[13,-2,4,-15]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=178,lambda=[3,3,1,-4]/1,nu=[0,-2,4,25]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=195,lambda=[1,4,1,-4]/1,nu=[6,-5,4,25]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=224,lambda=[3,0,1,2]/1,nu=[0,8,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=110,lambda=[5,2,1,2]/1,nu=[-14,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=132,lambda=[-2,5,1,2]/1,nu=[23,-12,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=194,lambda=[4,-1,1,6]/1,nu=[-4,15,4,-15]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[5,1,1,-2]/1,nu=[-7,5,4,18]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=218,lambda=[-1,3,1,0]/1,nu=[13,-2,4,12]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[2,1,1,2]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=71,lambda=[-1,3,1,7]/1,nu=[13,-2,4,-15]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=178,lambda=[3,3,1,-5]/1,nu=[0,-2,4,25]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=195,lambda=[1,4,1,-5]/1,nu=[6,-5,4,25]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=224,lambda=[3,0,1,1]/1,nu=[0,8,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,2,1,1]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=95,lambda=[0,6,1,-3]/1,nu=[5,-6,2,9]/1) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=159,lambda=[8,-2,1,3]/1,nu=[-17,15,4,-2]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=188,lambda=[-3,3,1,3]/1,nu=[10,-1,2,-1]/1) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=111,lambda=[1,1,1,9]/1,nu=[6,5,4,-22]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[5,1,1,-3]/1,nu=[-7,5,4,18]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=210,lambda=[-1,2,1,4]/1,nu=[13,5,4,-9]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=218,lambda=[-1,3,1,-1]/1,nu=[13,-2,4,12]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[2,1,1,1]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=111,lambda=[1,2,1,7]/1,nu=[6,5,4,-22]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=207,lambda=[4,2,1,-3]/1,nu=[-7,5,4,18]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=210,lambda=[-1,1,1,5]/1,nu=[13,5,4,-9]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=218,lambda=[0,3,1,-1]/1,nu=[13,-2,4,12]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[2,2,1,2]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=228,lambda=[1,2,1,2]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 cell character: 1 springer_O:1 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[6,5,4,5]/2) [ 2, 1, 0, 1 ]/2 cell character: 1 springer_O:1 survive:final parameter(x=91,lambda=[6,1,2,1]/1,nu=[-14,7,0,7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=120,lambda=[-3,5,2,1]/1,nu=[23,-10,0,7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=184,lambda=[4,-2,2,6]/1,nu=[-4,17,0,-13]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=185,lambda=[2,3,2,-5]/1,nu=[6,-3,0,27]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=206,lambda=[-1,1,2,4]/1,nu=[13,7,0,-7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=226,lambda=[2,1,2,2]/1,nu=[6,7,0,7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=221,lambda=[3,0,2,0]/1,nu=[0,10,0,7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=226,lambda=[1,1,2,2]/1,nu=[6,7,0,7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=226,lambda=[1,1,2,1]/1,nu=[6,7,0,7]/2) [ 2, 1, 0, 1 ]/2 survive:final parameter(x=226,lambda=[2,1,2,1]/1,nu=[6,7,0,7]/2) [ 2, 1, 0, 1 ]/2 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 4, 6, 4, 2 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 2, 2 ] dim=42 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 2, 2, 3, 3 ]/1 gamma_final:[ 0, 0, 1, 1 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 2, 2 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 2, 2 ]) computing springer map of[2,0,0,0] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 4, 6, 4, 2 ]) dim: 1 8 dim: 6 8 survive:final parameter(x=16,lambda=[2,3,1,4]/1,nu=[0,-3,6,-3]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=64,lambda=[2,2,-1,9]/1,nu=[0,0,14,-21]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=87,lambda=[2,2,6,-6]/1,nu=[0,0,-5,15]/1) [ 0, 0, 1, 1 ]/1 dim: 6 8 survive:final parameter(x=32,lambda=[3,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=43,lambda=[3,3,0,4]/1,nu=[-5,-6,16,-4]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=49,lambda=[4,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=125,lambda=[2,6,-5,3]/1,nu=[0,-15,30,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=111,lambda=[1,1,1,9]/1,nu=[4,4,6,-21]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=133,lambda=[1,1,8,-6]/1,nu=[2,2,-9,15]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=141,lambda=[1,7,-6,3]/1,nu=[4,-17,30,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=29,lambda=[2,4,1,1]/1,nu=[0,-3,3,3]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=73,lambda=[6,2,-1,3]/1,nu=[-13,0,13,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=146,lambda=[2,2,-4,10]/1,nu=[0,0,12,-12]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=168,lambda=[2,2,3,-5]/1,nu=[0,0,0,27]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=63,lambda=[4,2,3,-1]/1,nu=[-8,-3,6,13]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=110,lambda=[3,3,1,2]/1,nu=[-15,4,6,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=176,lambda=[3,3,-3,6]/1,nu=[2,-4,15,-9]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=195,lambda=[3,2,2,-2]/1,nu=[4,-5,6,24]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=30,lambda=[2,4,1,1]/1,nu=[0,-3,3,3]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=90,lambda=[4,4,-5,7]/1,nu=[-6,-7,27,-14]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=112,lambda=[3,5,-1,-3]/1,nu=[-3,-10,13,20]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=127,lambda=[2,6,-5,3]/1,nu=[0,-15,30,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=135,lambda=[3,5,-5,4]/1,nu=[-7,-8,30,-7]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=153,lambda=[1,6,-3,1]/1,nu=[4,-17,27,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=155,lambda=[4,4,-3,1]/1,nu=[-10,-5,20,10]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=179,lambda=[4,2,-3,5]/1,nu=[-4,0,12,-4]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=211,lambda=[2,2,-2,3]/1,nu=[0,0,17,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=217,lambda=[2,2,0,1]/1,nu=[0,0,7,3]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=33,lambda=[3,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=50,lambda=[4,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=88,lambda=[5,2,1,1]/1,nu=[-13,0,10,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=126,lambda=[2,6,-5,3]/1,nu=[0,-15,30,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=134,lambda=[2,6,-5,3]/1,nu=[0,-15,27,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=156,lambda=[2,4,-5,7]/1,nu=[0,-3,15,-9]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=177,lambda=[2,3,1,-3]/1,nu=[0,-3,6,24]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=193,lambda=[5,1,-3,5]/1,nu=[-5,2,10,-4]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=207,lambda=[4,1,1,-2]/1,nu=[-7,4,6,17]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[2,2,3,3]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=10,lambda=[2,2,3,3]/1,nu=[0,0,0,0]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=35,lambda=[3,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=45,lambda=[4,1,1,6]/1,nu=[-7,4,6,-10]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=66,lambda=[5,1,4,-2]/1,nu=[-5,2,-2,8]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=153,lambda=[1,7,-5,1]/1,nu=[4,-17,27,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=193,lambda=[5,1,-2,4]/1,nu=[-5,2,10,-4]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=227,lambda=[1,1,0,3]/1,nu=[4,4,9,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,2,1]/1,nu=[2,2,3,3]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=52,lambda=[4,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=75,lambda=[6,2,-1,3]/1,nu=[-13,0,13,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=88,lambda=[6,2,0,1]/1,nu=[-13,0,10,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=89,lambda=[5,2,1,1]/1,nu=[-13,0,10,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=89,lambda=[6,2,0,1]/1,nu=[-13,0,10,6]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=142,lambda=[1,7,-6,3]/1,nu=[4,-17,30,0]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=156,lambda=[2,4,-6,8]/1,nu=[0,-3,15,-9]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=157,lambda=[2,4,-5,7]/1,nu=[0,-3,15,-9]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=157,lambda=[2,4,-6,8]/1,nu=[0,-3,15,-9]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=177,lambda=[2,3,1,-4]/1,nu=[0,-3,6,24]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=178,lambda=[2,3,1,-3]/1,nu=[0,-3,6,24]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=178,lambda=[2,3,1,-4]/1,nu=[0,-3,6,24]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=207,lambda=[4,1,1,-1]/1,nu=[-7,4,6,17]/2) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=217,lambda=[2,2,-1,2]/1,nu=[0,0,7,3]/1) [ 0, 0, 1, 1 ]/1 survive:final parameter(x=128,lambda=[2,6,-5,3]/1,nu=[0,-15,30,0]/2) [ 0, 0, 1, 1 ]/1 cell character: 23 springer_O:23 survive:final parameter(x=197,lambda=[3,2,1,-2]/1,nu=[-5,0,10,17]/2) [ 0, 0, 1, 1 ]/1 cell character: 23 springer_O:23 survive:final parameter(x=217,lambda=[2,2,-1,1]/1,nu=[0,0,7,3]/1) [ 0, 0, 1, 1 ]/1 cell character: 23 springer_O:23 dim: 6 8 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[2,2,3,3]/1) [ 0, 0, 1, 1 ]/1 cell character: 23 springer_O:23 dim: 6 8 dim: 1 8 dim: 1 8 dim: 1 8 dim: 6 8 survive:final parameter(x=217,lambda=[2,2,0,2]/1,nu=[0,0,7,3]/1) [ 0, 0, 1, 1 ]/1 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 3, 6, 4, 2 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 2, 0, 2, 0 ] dim=44 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 3, 2, 3, 2 ]/1 gamma_final:[ 1, 0, 1, 0 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 0, 2, 0 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 0, 2, 0 ]) computing springer map of[0,1,0,0] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 3, 6, 4, 2 ]) dim: 1 9 dim: 6 9 survive:final parameter(x=16,lambda=[3,3,1,3]/1,nu=[0,-3,6,-3]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=22,lambda=[1,3,3,2]/1,nu=[6,-3,0,0]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=28,lambda=[1,4,1,3]/1,nu=[6,-6,6,-3]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=64,lambda=[2,3,-1,7]/1,nu=[1,-1,16,-23]/2) [ 1, 0, 1, 0 ]/1 dim: 6 9 survive:final parameter(x=2,lambda=[3,2,3,2]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=32,lambda=[4,2,1,4]/1,nu=[-5,0,10,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=43,lambda=[4,3,0,3]/1,nu=[-5,-5,15,-5]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=98,lambda=[-3,4,3,2]/1,nu=[23,-8,1,-1]/2) [ 1, 0, 1, 0 ]/1 dim: 8 9 survive:final parameter(x=70,lambda=[-1,3,1,7]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=111,lambda=[2,1,1,8]/1,nu=[6,4,6,-23]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=141,lambda=[2,6,-4,2]/1,nu=[3,-9,15,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=190,lambda=[-2,3,2,2]/1,nu=[9,2,-2,0]/1) [ 1, 0, 1, 0 ]/1 dim: 8 9 dim: 8 9 survive:final parameter(x=24,lambda=[1,3,3,2]/1,nu=[6,-3,0,0]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=57,lambda=[1,4,-1,6]/1,nu=[4,-4,8,-8]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=61,lambda=[-1,2,3,6]/1,nu=[13,0,0,-13]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=69,lambda=[1,5,-2,5]/1,nu=[8,-13,21,-11]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=90,lambda=[4,4,-4,6]/1,nu=[-2,-4,14,-8]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=99,lambda=[1,2,1,7]/1,nu=[8,0,10,-23]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=118,lambda=[-1,7,-4,4]/1,nu=[13,-18,28,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=135,lambda=[4,5,-5,3]/1,nu=[-7,-8,30,-7]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=143,lambda=[-1,4,-1,6]/1,nu=[9,-4,9,-10]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=164,lambda=[0,6,-5,5]/1,nu=[13,-15,30,-13]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=179,lambda=[4,2,-3,6]/1,nu=[-7,0,25,-11]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=188,lambda=[-3,3,1,3]/1,nu=[20,-3,6,-3]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=201,lambda=[1,4,-3,4]/1,nu=[10,-10,25,-5]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=209,lambda=[0,3,1,2]/1,nu=[15,-5,15,-5]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=210,lambda=[-1,1,1,5]/1,nu=[13,4,6,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=211,lambda=[3,2,-1,2]/1,nu=[1,-1,18,0]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=227,lambda=[1,3,-1,2]/1,nu=[3,2,4,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=33,lambda=[4,2,1,4]/1,nu=[-5,0,10,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=58,lambda=[1,4,-1,6]/1,nu=[4,-4,8,-8]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=70,lambda=[0,3,1,6]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=111,lambda=[1,1,1,9]/1,nu=[6,4,6,-23]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=126,lambda=[3,6,-5,2]/1,nu=[0,-15,30,0]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=141,lambda=[3,5,-3,2]/1,nu=[3,-9,15,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=156,lambda=[3,3,-3,6]/1,nu=[0,-5,30,-20]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=172,lambda=[-3,2,3,2]/1,nu=[10,0,0,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=193,lambda=[5,1,-2,5]/1,nu=[-9,4,21,-11]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=203,lambda=[-1,2,1,4]/1,nu=[15,0,10,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=209,lambda=[-1,3,0,3]/1,nu=[15,-5,15,-5]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=228,lambda=[2,1,1,1]/1,nu=[3,2,3,2]/1) [ 1, 0, 1, 0 ]/1 dim: 8 9 dim: 8 9 survive:final parameter(x=71,lambda=[0,3,1,6]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=71,lambda=[-1,3,1,7]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=75,lambda=[6,2,0,2]/1,nu=[-6,0,6,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=109,lambda=[-2,7,-2,2]/1,nu=[9,-9,9,0]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=121,lambda=[-3,6,0,2]/1,nu=[23,-13,8,0]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=156,lambda=[3,3,-4,7]/1,nu=[0,-5,30,-20]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=157,lambda=[3,3,-3,6]/1,nu=[0,-5,30,-20]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=157,lambda=[3,3,-4,7]/1,nu=[0,-5,30,-20]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=165,lambda=[3,2,-3,8]/1,nu=[6,-3,25,-25]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=176,lambda=[3,3,-2,5]/1,nu=[3,-4,15,-10]/1) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=203,lambda=[-1,2,2,3]/1,nu=[15,0,10,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=204,lambda=[-1,2,2,3]/1,nu=[15,0,10,-10]/2) [ 1, 0, 1, 0 ]/1 survive:final parameter(x=217,lambda=[3,2,-1,1]/1,nu=[1,-1,16,4]/2) [ 1, 0, 1, 0 ]/1 dim: 8 9 dim: 8 9 dim: 8 9 survive:final parameter(x=204,lambda=[-1,2,1,4]/1,nu=[15,0,10,-10]/2) [ 1, 0, 1, 0 ]/1 cell character: 12 springer_O:12 dim: 8 9 survive:final parameter(x=223,lambda=[0,2,1,2]/1,nu=[4,0,6,0]/1) [ 1, 0, 1, 0 ]/1 cell character: 12 springer_O:12 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[3,2,3,2]/1) [ 1, 0, 1, 0 ]/1 cell character: 12 springer_O:12 dim: 6 9 dim: 8 9 dim: 6 9 dim: 1 9 dim: 1 9 dim: 6 9 dim: 8 9 dim: 1 9 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 2, 4, 3, 2 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 2, 0, 2, 2 ] dim=46 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 3, 2, 3, 3 ]/1 gamma_final:[ 1, 0, 1, 1 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 0, 2, 2 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 0, 2, 2 ]) computing springer map of[0,0,0,1] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 2, 4, 3, 2 ]) dim: 1 4 survive:final parameter(x=3,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=15,lambda=[3,3,1,4]/1,nu=[0,-3,6,-3]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=44,lambda=[5,1,1,6]/1,nu=[-7,4,6,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=60,lambda=[-1,2,3,7]/1,nu=[13,0,0,-13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=65,lambda=[6,1,4,-2]/1,nu=[-5,2,-2,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=16,lambda=[3,3,1,4]/1,nu=[0,-3,6,-3]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=22,lambda=[1,3,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=23,lambda=[1,3,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=28,lambda=[1,4,1,4]/1,nu=[6,-6,6,-3]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=64,lambda=[2,3,-1,8]/1,nu=[1,-1,16,-23]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=87,lambda=[2,3,5,-5]/1,nu=[1,-1,-10,32]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=4,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=7,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=12,lambda=[3,2,4,1]/1,nu=[0,0,-3,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=34,lambda=[4,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=51,lambda=[5,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=2,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=14,lambda=[3,2,4,1]/1,nu=[0,0,-3,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=32,lambda=[4,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=43,lambda=[4,3,0,4]/1,nu=[-5,-6,16,-4]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=49,lambda=[5,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=98,lambda=[-3,4,3,3]/1,nu=[12,-4,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=56,lambda=[1,4,-1,7]/1,nu=[4,-4,8,-8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=80,lambda=[0,5,3,-3]/1,nu=[11,-11,0,22]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=125,lambda=[3,7,-7,3]/1,nu=[0,-8,16,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=171,lambda=[-3,2,3,3]/1,nu=[21,0,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=70,lambda=[-1,3,1,8]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=96,lambda=[-2,4,6,-4]/1,nu=[8,-3,-5,11]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=111,lambda=[2,1,1,9]/1,nu=[6,4,6,-23]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=133,lambda=[2,1,8,-6]/1,nu=[3,2,-10,16]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=141,lambda=[2,7,-6,3]/1,nu=[6,-19,32,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=190,lambda=[-3,1,4,3]/1,nu=[19,4,-4,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=29,lambda=[3,4,1,1]/1,nu=[0,-3,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=73,lambda=[7,2,-1,3]/1,nu=[-13,0,13,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=84,lambda=[-2,2,8,-2]/1,nu=[8,0,-8,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=107,lambda=[-3,8,-3,3]/1,nu=[19,-19,19,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=146,lambda=[3,2,-5,11]/1,nu=[0,0,13,-13]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=168,lambda=[3,2,3,-6]/1,nu=[0,0,0,29]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=63,lambda=[5,2,3,-1]/1,nu=[-8,-3,6,13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=110,lambda=[4,3,1,2]/1,nu=[-15,4,6,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=120,lambda=[-3,5,3,0]/1,nu=[24,-11,0,9]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-1,5,1,2]/1,nu=[12,-7,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=176,lambda=[2,4,-5,8]/1,nu=[6,-9,32,-20]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=195,lambda=[2,3,2,-4]/1,nu=[3,-3,3,13]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=24,lambda=[1,3,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=27,lambda=[1,3,4,1]/1,nu=[6,-3,-3,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=30,lambda=[3,4,1,1]/1,nu=[0,-3,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=47,lambda=[1,5,1,1]/1,nu=[6,-9,6,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=57,lambda=[1,4,-1,7]/1,nu=[4,-4,8,-8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=61,lambda=[-1,2,3,7]/1,nu=[13,0,0,-13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=69,lambda=[1,5,-2,6]/1,nu=[4,-7,11,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=81,lambda=[0,5,3,-3]/1,nu=[11,-11,0,22]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=85,lambda=[-2,2,8,-2]/1,nu=[8,0,-8,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=90,lambda=[4,4,-4,7]/1,nu=[-5,-8,29,-16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=95,lambda=[0,5,3,-3]/1,nu=[11,-14,6,19]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=99,lambda=[1,2,1,8]/1,nu=[8,0,10,-23]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=112,lambda=[3,5,0,-3]/1,nu=[-2,-11,13,22]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=118,lambda=[-1,7,-4,5]/1,nu=[14,-19,29,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=119,lambda=[1,2,7,-5]/1,nu=[4,0,-8,16]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=127,lambda=[3,7,-7,3]/1,nu=[0,-8,16,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=135,lambda=[5,5,-7,5]/1,nu=[-7,-9,32,-7]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=140,lambda=[0,7,-2,-1]/1,nu=[11,-19,19,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=143,lambda=[-3,5,-3,9]/1,nu=[19,-9,19,-20]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=153,lambda=[2,6,-3,1]/1,nu=[6,-19,29,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=155,lambda=[6,4,-4,0]/1,nu=[-5,-3,11,5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=164,lambda=[-1,7,-7,7]/1,nu=[13,-16,32,-13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=166,lambda=[-3,4,5,-5]/1,nu=[19,-6,-7,26]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=173,lambda=[-3,2,3,3]/1,nu=[21,0,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=179,lambda=[5,2,-4,6]/1,nu=[-4,0,13,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=186,lambda=[-2,7,-2,-2]/1,nu=[8,-8,8,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=188,lambda=[-3,2,3,3]/1,nu=[21,-3,6,-3]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=196,lambda=[-2,1,5,1]/1,nu=[19,4,-7,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=201,lambda=[0,5,-4,4]/1,nu=[11,-11,26,-4]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-1,4,-2,4]/1,nu=[8,-3,8,-2]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=210,lambda=[-2,3,1,4]/1,nu=[7,2,3,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=211,lambda=[3,2,-2,3]/1,nu=[1,-1,19,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,2,0,1]/1,nu=[1,-1,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=219,lambda=[-1,3,2,0]/1,nu=[11,4,-4,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=227,lambda=[1,1,0,3]/1,nu=[6,4,9,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,2,1]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=8,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=33,lambda=[4,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=50,lambda=[5,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=58,lambda=[1,4,-1,7]/1,nu=[4,-4,8,-8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=70,lambda=[0,3,1,7]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=82,lambda=[0,5,3,-3]/1,nu=[11,-11,0,22]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=88,lambda=[6,2,1,1]/1,nu=[-13,0,10,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=96,lambda=[-1,4,5,-3]/1,nu=[8,-3,-5,11]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=111,lambda=[1,1,1,10]/1,nu=[6,4,6,-23]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=116,lambda=[-2,7,-1,1]/1,nu=[19,-19,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=126,lambda=[3,7,-7,3]/1,nu=[0,-8,16,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=133,lambda=[1,1,9,-7]/1,nu=[3,2,-10,16]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=134,lambda=[3,7,-6,1]/1,nu=[0,-16,29,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=141,lambda=[1,8,-7,3]/1,nu=[6,-19,32,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=153,lambda=[1,8,-6,1]/1,nu=[6,-19,29,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=156,lambda=[3,4,-7,9]/1,nu=[0,-3,16,-10]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=172,lambda=[-3,2,3,3]/1,nu=[21,0,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=177,lambda=[3,3,1,-5]/1,nu=[0,-3,6,26]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=187,lambda=[-3,2,3,3]/1,nu=[21,0,-3,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=193,lambda=[6,1,-3,5]/1,nu=[-5,2,11,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=203,lambda=[-2,2,1,5]/1,nu=[8,0,5,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=207,lambda=[5,1,1,-2]/1,nu=[-7,4,6,19]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-2,4,-1,3]/1,nu=[8,-3,8,-2]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=214,lambda=[-1,2,3,-1]/1,nu=[13,0,0,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=218,lambda=[-1,3,1,0]/1,nu=[13,-3,6,13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,1,2]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=9,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=10,lambda=[3,2,3,3]/1,nu=[0,0,0,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=17,lambda=[3,3,1,4]/1,nu=[0,-3,6,-3]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=35,lambda=[4,2,1,5]/1,nu=[-5,0,10,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=45,lambda=[5,1,1,6]/1,nu=[-7,4,6,-10]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=66,lambda=[6,1,4,-2]/1,nu=[-5,2,-2,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=153,lambda=[2,7,-5,1]/1,nu=[6,-19,29,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=193,lambda=[6,1,-4,6]/1,nu=[-5,2,11,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=196,lambda=[-3,1,5,1]/1,nu=[19,4,-7,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-2,4,-2,4]/1,nu=[8,-3,8,-2]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=227,lambda=[2,1,0,3]/1,nu=[6,4,9,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,2,1]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=31,lambda=[3,4,1,1]/1,nu=[0,-3,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=52,lambda=[5,2,3,-1]/1,nu=[-4,0,0,8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=71,lambda=[0,3,1,7]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=71,lambda=[-1,3,1,8]/1,nu=[13,-3,6,-16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=75,lambda=[7,2,-1,3]/1,nu=[-13,0,13,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=88,lambda=[7,2,0,1]/1,nu=[-13,0,10,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=89,lambda=[6,2,1,1]/1,nu=[-13,0,10,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=89,lambda=[7,2,0,1]/1,nu=[-13,0,10,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=97,lambda=[-1,4,5,-3]/1,nu=[8,-3,-5,11]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=97,lambda=[-2,4,6,-4]/1,nu=[8,-3,-5,11]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=109,lambda=[-3,8,-3,3]/1,nu=[19,-19,19,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=116,lambda=[-3,8,-2,1]/1,nu=[19,-19,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=117,lambda=[-2,7,-1,1]/1,nu=[19,-19,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=117,lambda=[-3,8,-2,1]/1,nu=[19,-19,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=121,lambda=[-3,6,0,3]/1,nu=[24,-14,9,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-2,5,2,1]/1,nu=[12,-7,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=142,lambda=[2,7,-6,3]/1,nu=[6,-19,32,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=156,lambda=[3,4,-6,8]/1,nu=[0,-3,16,-10]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=157,lambda=[3,4,-7,9]/1,nu=[0,-3,16,-10]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=157,lambda=[3,4,-6,8]/1,nu=[0,-3,16,-10]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=165,lambda=[1,3,-5,11]/1,nu=[6,-3,26,-26]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=176,lambda=[1,5,-6,8]/1,nu=[6,-9,32,-20]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=177,lambda=[3,3,1,-4]/1,nu=[0,-3,6,26]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=178,lambda=[3,3,1,-5]/1,nu=[0,-3,6,26]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=178,lambda=[3,3,1,-4]/1,nu=[0,-3,6,26]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=185,lambda=[1,3,3,-6]/1,nu=[6,-3,0,29]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=191,lambda=[-3,1,4,3]/1,nu=[19,4,-4,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=195,lambda=[1,4,1,-4]/1,nu=[3,-3,3,13]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=203,lambda=[-2,2,0,6]/1,nu=[8,0,5,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=204,lambda=[-2,2,0,6]/1,nu=[8,0,5,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=207,lambda=[5,1,1,-3]/1,nu=[-7,4,6,19]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=214,lambda=[-1,2,3,-2]/1,nu=[13,0,0,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,2,-1,2]/1,nu=[1,-1,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=25,lambda=[1,3,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=59,lambda=[1,4,-1,7]/1,nu=[4,-4,8,-8]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=83,lambda=[0,5,3,-3]/1,nu=[11,-11,0,22]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=128,lambda=[3,7,-7,3]/1,nu=[0,-8,16,0]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=108,lambda=[-3,8,-3,3]/1,nu=[19,-19,19,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=147,lambda=[3,2,-5,11]/1,nu=[0,0,13,-13]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=169,lambda=[3,2,3,-6]/1,nu=[0,0,0,29]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=197,lambda=[4,2,1,-3]/1,nu=[-5,0,10,19]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-3,6,1,1]/1,nu=[12,-7,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=176,lambda=[1,5,-7,9]/1,nu=[6,-9,32,-20]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=195,lambda=[1,4,1,-5]/1,nu=[3,-3,3,13]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,2,-1,1]/1,nu=[1,-1,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=142,lambda=[1,8,-7,3]/1,nu=[6,-19,32,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=174,lambda=[-3,2,3,3]/1,nu=[21,0,0,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=204,lambda=[-2,2,1,5]/1,nu=[8,0,5,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=153,lambda=[1,7,-4,1]/1,nu=[6,-19,29,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-1,4,-1,3]/1,nu=[8,-3,8,-2]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=202,lambda=[-3,3,2,2]/1,nu=[21,-6,6,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=223,lambda=[0,2,0,3]/1,nu=[8,0,13,0]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,2,2,1]/1,nu=[4,0,5,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=213,lambda=[1,4,-1,-1]/1,nu=[8,-8,16,13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=218,lambda=[0,3,1,0]/1,nu=[13,-3,6,13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=215,lambda=[-1,2,3,-1]/1,nu=[13,0,0,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,2,1,1]/1,nu=[4,0,5,3]/1) [ 1, 0, 1, 1 ]/1 cell character: 19 springer_O:19 survive:final parameter(x=215,lambda=[-1,2,3,-2]/1,nu=[13,0,0,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=218,lambda=[-1,3,1,-1]/1,nu=[13,-3,6,13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,2,1,2]/1,nu=[4,0,5,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,1,1]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=218,lambda=[0,3,1,-1]/1,nu=[13,-3,6,13]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 cell character: 19 springer_O:19 dim: 1 4 dim: 1 4 survive:final parameter(x=132,lambda=[0,4,2,2]/1,nu=[12,-7,3,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=176,lambda=[2,4,-4,7]/1,nu=[6,-9,32,-20]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=195,lambda=[2,3,2,-3]/1,nu=[3,-3,3,13]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=210,lambda=[-2,3,2,3]/1,nu=[7,2,3,-5]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,2,0,2]/1,nu=[1,-1,16,6]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=219,lambda=[-1,3,2,1]/1,nu=[11,4,-4,16]/2) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,2,2,2]/1,nu=[4,0,5,3]/1) [ 1, 0, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,2,2]/1,nu=[3,2,3,3]/1) [ 1, 0, 1, 1 ]/1 dim: 1 4 Orbit by diagram: (simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 0, 0 ]) Computing weak packet for orbit: simply connected adjoint root datum of Lie type 'F4' [ 2, 2, 2, 2 ] dim=48 Computing weak packets for connected split real group with Lie algebra 'f4(R)' gamma:[ 3, 3, 3, 3 ]/1 gamma_final:[ 1, 1, 1, 1 ]/1 integral data: st_int rd_int:simply connected adjoint root datum of Lie type 'F4' st_int.rd: simply connected adjoint root datum of Lie type 'F4' O_check_int:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 2, 2, 2 ]) computing packet for:(simply connected adjoint root datum of Lie type 'F4',(),[ 2, 2, 2, 2 ]) computing springer map of[0,0,0,0] O: (simply connected adjoint root datum of Lie type 'F4',(),[ 0, 0, 0, 0 ]) survive:final parameter(x=0,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=3,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=15,lambda=[3,4,1,4]/1,nu=[0,-3,6,-3]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=36,lambda=[6,0,3,6]/1,nu=[-9,9,0,-9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=44,lambda=[5,2,1,6]/1,nu=[-9,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=60,lambda=[-2,3,3,8]/1,nu=[15,0,0,-15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=65,lambda=[6,2,4,-2]/1,nu=[-6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=1,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=5,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=16,lambda=[3,4,1,4]/1,nu=[0,-3,6,-3]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=22,lambda=[1,4,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=23,lambda=[1,4,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=28,lambda=[1,5,1,4]/1,nu=[6,-6,6,-3]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=46,lambda=[4,-2,7,6]/1,nu=[-3,15,-12,-9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=64,lambda=[3,3,-3,12]/1,nu=[0,0,18,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=87,lambda=[3,3,7,-9]/1,nu=[0,0,-6,18]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=4,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=12,lambda=[3,3,4,1]/1,nu=[0,0,-3,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=19,lambda=[4,1,5,3]/1,nu=[-3,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=34,lambda=[5,3,-1,7]/1,nu=[-3,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=51,lambda=[6,3,3,-3]/1,nu=[-9,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=2,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=14,lambda=[3,3,4,1]/1,nu=[0,0,-3,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=18,lambda=[4,1,5,3]/1,nu=[-3,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=26,lambda=[4,1,6,1]/1,nu=[-3,6,-9,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=32,lambda=[5,3,-1,7]/1,nu=[-3,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=43,lambda=[5,5,-3,5]/1,nu=[-3,-3,9,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=49,lambda=[6,3,3,-3]/1,nu=[-9,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=67,lambda=[9,-1,3,3]/1,nu=[-9,6,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=98,lambda=[-6,6,3,3]/1,nu=[27,-9,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=39,lambda=[1,1,7,3]/1,nu=[3,3,-6,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=56,lambda=[0,6,-3,9]/1,nu=[9,-9,18,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=76,lambda=[3,-1,3,11]/1,nu=[0,6,0,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=80,lambda=[-1,7,3,-5]/1,nu=[6,-6,0,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=103,lambda=[3,-2,13,-7]/1,nu=[0,15,-30,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=125,lambda=[3,9,-9,3]/1,nu=[0,-9,18,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=149,lambda=[10,-4,3,3]/1,nu=[-21,21,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=171,lambda=[-5,3,3,3]/1,nu=[12,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=70,lambda=[-1,4,1,8]/1,nu=[15,-3,6,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=96,lambda=[-2,5,6,-4]/1,nu=[9,-3,-6,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=101,lambda=[2,0,3,10]/1,nu=[6,9,0,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=111,lambda=[2,2,1,9]/1,nu=[6,6,6,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=122,lambda=[2,-1,12,-6]/1,nu=[3,6,-15,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=133,lambda=[2,2,8,-6]/1,nu=[3,3,-12,18]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=141,lambda=[2,9,-8,3]/1,nu=[6,-21,36,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=162,lambda=[8,-5,6,3]/1,nu=[-15,27,-12,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=190,lambda=[-4,2,4,3]/1,nu=[21,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=29,lambda=[3,5,1,1]/1,nu=[0,-3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=53,lambda=[7,-1,7,-1]/1,nu=[-6,6,-6,6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=73,lambda=[8,3,-2,3]/1,nu=[-15,0,15,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=84,lambda=[-3,3,9,-3]/1,nu=[9,0,-9,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=107,lambda=[-4,10,-4,3]/1,nu=[21,-21,21,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=129,lambda=[3,-6,12,3]/1,nu=[0,27,-27,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=146,lambda=[3,3,-7,13]/1,nu=[0,0,15,-15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=168,lambda=[3,3,3,-8]/1,nu=[0,0,0,33]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=63,lambda=[6,4,1,-2]/1,nu=[-9,-3,6,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=91,lambda=[9,0,3,0]/1,nu=[-18,9,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=110,lambda=[7,2,1,2]/1,nu=[-9,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=120,lambda=[-6,7,3,0]/1,nu=[27,-12,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-4,7,1,2]/1,nu=[27,-15,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=154,lambda=[2,-4,11,2]/1,nu=[3,12,-15,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=176,lambda=[2,5,-7,10]/1,nu=[6,-9,36,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=195,lambda=[2,4,2,-6]/1,nu=[3,-3,3,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=6,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=13,lambda=[3,3,4,1]/1,nu=[0,0,-3,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=24,lambda=[1,4,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=27,lambda=[1,4,4,1]/1,nu=[6,-3,-3,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=30,lambda=[3,5,1,1]/1,nu=[0,-3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=37,lambda=[6,0,3,6]/1,nu=[-9,9,0,-9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=40,lambda=[1,1,7,3]/1,nu=[3,3,-6,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=47,lambda=[1,6,1,1]/1,nu=[6,-9,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=48,lambda=[1,1,8,1]/1,nu=[6,6,-15,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=54,lambda=[7,-1,7,-1]/1,nu=[-6,6,-6,6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=57,lambda=[0,6,-3,9]/1,nu=[9,-9,18,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=61,lambda=[-2,3,3,8]/1,nu=[15,0,0,-15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=68,lambda=[5,-3,11,-1]/1,nu=[-3,9,-12,6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=69,lambda=[0,8,-5,7]/1,nu=[9,-15,24,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=72,lambda=[-1,1,5,8]/1,nu=[12,6,-6,-15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=78,lambda=[3,-1,3,11]/1,nu=[0,6,0,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=81,lambda=[-1,7,3,-5]/1,nu=[6,-6,0,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=85,lambda=[-3,3,9,-3]/1,nu=[9,0,-9,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=90,lambda=[5,6,-8,9]/1,nu=[-6,-9,33,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=93,lambda=[7,-5,7,7]/1,nu=[-6,12,-6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=95,lambda=[-1,8,1,-4]/1,nu=[12,-15,6,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=99,lambda=[0,3,-1,12]/1,nu=[9,0,12,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=100,lambda=[-2,1,11,-3]/1,nu=[15,6,-24,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=105,lambda=[3,-2,13,-7]/1,nu=[0,15,-30,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=111,lambda=[2,1,1,11]/1,nu=[6,6,6,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=112,lambda=[4,7,-2,-5]/1,nu=[-3,-12,15,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=113,lambda=[8,-1,-2,11]/1,nu=[-15,12,15,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=115,lambda=[6,-5,13,-4]/1,nu=[-9,24,-30,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=118,lambda=[-2,10,-8,7]/1,nu=[15,-21,33,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=119,lambda=[0,3,9,-9]/1,nu=[9,0,-18,36]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=124,lambda=[-3,-1,9,5]/1,nu=[9,6,-9,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=127,lambda=[3,9,-9,3]/1,nu=[0,-9,18,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=133,lambda=[2,1,10,-8]/1,nu=[3,3,-12,18]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=135,lambda=[6,6,-9,6]/1,nu=[-9,-9,36,-9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=136,lambda=[8,-2,8,-7]/1,nu=[-15,15,-15,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=139,lambda=[5,-6,8,7]/1,nu=[-6,27,-15,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=140,lambda=[-1,10,-4,-3]/1,nu=[12,-21,21,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=143,lambda=[-4,6,-4,11]/1,nu=[21,-9,21,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=144,lambda=[-2,-2,13,-2]/1,nu=[15,15,-30,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=151,lambda=[10,-4,3,3]/1,nu=[-21,21,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=153,lambda=[2,9,-7,1]/1,nu=[6,-21,33,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=155,lambda=[7,5,-5,-1]/1,nu=[-6,-3,12,6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=159,lambda=[10,-3,1,4]/1,nu=[-21,18,6,-3]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=161,lambda=[6,-6,12,-3]/1,nu=[-9,27,-27,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=164,lambda=[-2,9,-9,8]/1,nu=[15,-18,36,-15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=166,lambda=[-4,5,6,-7]/1,nu=[21,-6,-9,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=167,lambda=[0,-3,6,9]/1,nu=[9,18,-9,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=173,lambda=[-5,3,3,3]/1,nu=[12,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=175,lambda=[8,-5,7,1]/1,nu=[-15,27,-15,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=179,lambda=[6,3,-7,7]/1,nu=[-9,0,30,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=184,lambda=[5,-4,3,8]/1,nu=[-6,21,0,-15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=186,lambda=[-3,9,-3,-3]/1,nu=[9,-9,9,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=188,lambda=[-5,4,1,4]/1,nu=[24,-3,6,-3]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=189,lambda=[-1,-2,12,-5]/1,nu=[12,15,-27,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=193,lambda=[7,1,-4,6]/1,nu=[-6,3,12,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=194,lambda=[5,-2,1,8]/1,nu=[-3,9,3,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=196,lambda=[-4,2,5,1]/1,nu=[21,6,-9,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=200,lambda=[4,-4,9,-3]/1,nu=[-3,21,-18,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=201,lambda=[-1,7,-7,5]/1,nu=[6,-6,15,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=206,lambda=[-2,0,3,6]/1,nu=[15,9,0,-9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=208,lambda=[4,-1,6,-4]/1,nu=[-3,15,-12,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-3,5,-2,4]/1,nu=[9,-3,9,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=210,lambda=[-2,2,1,6]/1,nu=[15,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=211,lambda=[3,3,-4,3]/1,nu=[0,0,21,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=212,lambda=[3,-2,3,3]/1,nu=[0,15,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,3,-2,1]/1,nu=[0,0,9,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=219,lambda=[-1,2,4,-2]/1,nu=[6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=220,lambda=[1,-1,4,2]/1,nu=[3,6,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=222,lambda=[3,0,0,3]/1,nu=[0,9,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=224,lambda=[3,0,2,1]/1,nu=[0,9,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=227,lambda=[1,2,-1,3]/1,nu=[6,6,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,2,2,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=8,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=20,lambda=[4,1,5,3]/1,nu=[-3,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=33,lambda=[5,3,-1,7]/1,nu=[-3,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=41,lambda=[1,1,7,3]/1,nu=[3,3,-6,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=44,lambda=[6,1,1,7]/1,nu=[-9,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=50,lambda=[6,3,3,-3]/1,nu=[-9,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=58,lambda=[0,6,-3,9]/1,nu=[9,-9,18,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=65,lambda=[7,1,5,-3]/1,nu=[-6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=70,lambda=[-2,4,1,9]/1,nu=[15,-3,6,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=77,lambda=[3,-1,3,11]/1,nu=[0,6,0,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=82,lambda=[-1,7,3,-5]/1,nu=[6,-6,0,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=88,lambda=[8,3,-1,1]/1,nu=[-15,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=94,lambda=[3,0,1,12]/1,nu=[0,9,6,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=96,lambda=[-3,5,7,-5]/1,nu=[9,-3,-6,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=101,lambda=[1,0,3,11]/1,nu=[6,9,0,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=104,lambda=[3,-2,13,-7]/1,nu=[0,15,-30,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=111,lambda=[1,2,1,10]/1,nu=[6,6,6,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=114,lambda=[3,0,11,-9]/1,nu=[0,9,-24,36]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=116,lambda=[-4,10,-3,1]/1,nu=[21,-21,18,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=122,lambda=[1,-1,13,-7]/1,nu=[3,6,-15,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=126,lambda=[3,9,-9,3]/1,nu=[0,-9,18,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=133,lambda=[1,2,9,-7]/1,nu=[3,3,-12,18]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=134,lambda=[3,9,-8,1]/1,nu=[0,-18,33,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=137,lambda=[3,-6,13,1]/1,nu=[0,27,-30,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=141,lambda=[1,10,-9,3]/1,nu=[6,-21,36,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=150,lambda=[10,-4,3,3]/1,nu=[-21,21,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=153,lambda=[1,9,-6,1]/1,nu=[6,-21,33,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=156,lambda=[3,5,-9,11]/1,nu=[0,-3,18,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=158,lambda=[10,-4,4,1]/1,nu=[-21,21,-3,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=162,lambda=[8,-6,7,3]/1,nu=[-15,27,-12,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=172,lambda=[-5,3,3,3]/1,nu=[12,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=175,lambda=[7,-5,8,1]/1,nu=[-15,27,-15,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=177,lambda=[3,4,1,-7]/1,nu=[0,-3,6,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=182,lambda=[7,-1,-3,9]/1,nu=[-6,6,9,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=187,lambda=[-5,3,4,1]/1,nu=[24,0,-3,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=190,lambda=[-4,1,5,3]/1,nu=[21,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=193,lambda=[6,2,-5,7]/1,nu=[-6,3,12,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=196,lambda=[-3,1,6,1]/1,nu=[21,6,-9,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=198,lambda=[6,0,3,-5]/1,nu=[-9,9,0,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=203,lambda=[-3,3,-1,7]/1,nu=[9,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=207,lambda=[5,2,1,-4]/1,nu=[-9,6,6,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-2,5,-3,5]/1,nu=[9,-3,9,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=214,lambda=[-2,3,3,-3]/1,nu=[15,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=218,lambda=[-1,4,1,-2]/1,nu=[15,-3,6,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=220,lambda=[2,-1,3,3]/1,nu=[3,6,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=226,lambda=[2,0,3,0]/1,nu=[6,9,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,2,1,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=9,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=10,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=17,lambda=[3,4,1,4]/1,nu=[0,-3,6,-3]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=21,lambda=[4,1,5,3]/1,nu=[-3,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=35,lambda=[5,3,-1,7]/1,nu=[-3,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=38,lambda=[6,0,3,6]/1,nu=[-9,9,0,-9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=45,lambda=[5,2,1,6]/1,nu=[-9,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=66,lambda=[6,2,4,-2]/1,nu=[-6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=153,lambda=[2,8,-5,1]/1,nu=[6,-21,33,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=175,lambda=[7,-4,7,1]/1,nu=[-15,27,-15,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=193,lambda=[6,2,-4,6]/1,nu=[-6,3,12,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=196,lambda=[-3,2,5,1]/1,nu=[21,6,-9,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-2,5,-2,4]/1,nu=[9,-3,9,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=220,lambda=[2,-1,4,2]/1,nu=[3,6,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=227,lambda=[2,2,-1,3]/1,nu=[6,6,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,2,2,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=31,lambda=[3,5,1,1]/1,nu=[0,-3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=45,lambda=[6,1,1,7]/1,nu=[-9,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=52,lambda=[6,3,3,-3]/1,nu=[-9,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=55,lambda=[7,-1,7,-1]/1,nu=[-6,6,-6,6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=62,lambda=[-2,3,3,8]/1,nu=[15,0,0,-15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=66,lambda=[7,1,5,-3]/1,nu=[-6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=71,lambda=[-2,4,1,9]/1,nu=[15,-3,6,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=71,lambda=[-1,4,1,8]/1,nu=[15,-3,6,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=75,lambda=[8,3,-2,3]/1,nu=[-15,0,15,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=86,lambda=[-3,3,9,-3]/1,nu=[9,0,-9,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=88,lambda=[7,3,0,1]/1,nu=[-15,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=89,lambda=[8,3,-1,1]/1,nu=[-15,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=89,lambda=[7,3,0,1]/1,nu=[-15,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=92,lambda=[9,1,0,3]/1,nu=[-18,6,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=97,lambda=[-3,5,7,-5]/1,nu=[9,-3,-6,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=97,lambda=[-2,5,6,-4]/1,nu=[9,-3,-6,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=102,lambda=[2,0,3,10]/1,nu=[6,9,0,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=109,lambda=[-4,10,-4,3]/1,nu=[21,-21,21,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=110,lambda=[8,1,2,1]/1,nu=[-9,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=116,lambda=[-3,9,-2,1]/1,nu=[21,-21,18,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=117,lambda=[-4,10,-3,1]/1,nu=[21,-21,18,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=117,lambda=[-3,9,-2,1]/1,nu=[21,-21,18,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=121,lambda=[-6,8,0,3]/1,nu=[27,-15,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=123,lambda=[2,-1,12,-6]/1,nu=[3,6,-15,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=131,lambda=[3,-6,12,3]/1,nu=[0,27,-27,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-5,7,2,1]/1,nu=[27,-15,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=137,lambda=[3,-5,12,1]/1,nu=[0,27,-30,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=138,lambda=[3,-6,13,1]/1,nu=[0,27,-30,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=138,lambda=[3,-5,12,1]/1,nu=[0,27,-30,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=142,lambda=[2,9,-8,3]/1,nu=[6,-21,36,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=145,lambda=[1,-5,12,3]/1,nu=[6,24,-27,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=148,lambda=[3,3,-7,13]/1,nu=[0,0,15,-15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=154,lambda=[1,-4,12,1]/1,nu=[3,12,-15,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=156,lambda=[3,5,-8,10]/1,nu=[0,-3,18,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=157,lambda=[3,5,-9,11]/1,nu=[0,-3,18,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=157,lambda=[3,5,-8,10]/1,nu=[0,-3,18,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=163,lambda=[8,-5,6,3]/1,nu=[-15,27,-12,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=165,lambda=[1,4,-7,13]/1,nu=[6,-3,30,-30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=170,lambda=[3,3,3,-8]/1,nu=[0,0,0,33]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=176,lambda=[1,6,-8,10]/1,nu=[6,-9,36,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=177,lambda=[3,4,1,-6]/1,nu=[0,-3,6,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=178,lambda=[3,4,1,-7]/1,nu=[0,-3,6,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=178,lambda=[3,4,1,-6]/1,nu=[0,-3,6,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=182,lambda=[7,-1,-2,8]/1,nu=[-6,6,9,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=183,lambda=[7,-1,-2,8]/1,nu=[-6,6,9,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=185,lambda=[1,4,3,-8]/1,nu=[6,-3,0,33]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=191,lambda=[-4,2,4,3]/1,nu=[21,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=194,lambda=[5,-3,2,8]/1,nu=[-3,9,3,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=195,lambda=[1,5,1,-6]/1,nu=[3,-3,3,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=198,lambda=[6,0,3,-4]/1,nu=[-9,9,0,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=203,lambda=[-3,3,0,6]/1,nu=[9,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=204,lambda=[-3,3,0,6]/1,nu=[9,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=207,lambda=[5,2,1,-3]/1,nu=[-9,6,6,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=208,lambda=[4,-2,7,-4]/1,nu=[-3,15,-12,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=210,lambda=[-2,1,2,6]/1,nu=[15,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=214,lambda=[-2,3,3,-2]/1,nu=[15,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,3,-3,2]/1,nu=[0,0,9,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=11,lambda=[3,3,3,3]/1,nu=[0,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[1,4,3,3]/1,nu=[6,-3,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=42,lambda=[1,1,7,3]/1,nu=[3,3,-6,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=59,lambda=[0,6,-3,9]/1,nu=[9,-9,18,-18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=79,lambda=[3,-1,3,11]/1,nu=[0,6,0,-12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=83,lambda=[-1,7,3,-5]/1,nu=[6,-6,0,12]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=106,lambda=[3,-2,13,-7]/1,nu=[0,15,-30,30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=128,lambda=[3,9,-9,3]/1,nu=[0,-9,18,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=74,lambda=[8,3,-2,3]/1,nu=[-15,0,15,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=108,lambda=[-4,10,-4,3]/1,nu=[21,-21,21,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=130,lambda=[3,-6,12,3]/1,nu=[0,27,-27,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=147,lambda=[3,3,-7,13]/1,nu=[0,0,15,-15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=160,lambda=[4,1,-5,13]/1,nu=[-3,6,24,-30]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=169,lambda=[3,3,3,-8]/1,nu=[0,0,0,33]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=180,lambda=[4,1,5,-8]/1,nu=[-3,6,-6,33]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=197,lambda=[5,3,-1,-4]/1,nu=[-6,0,12,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=110,lambda=[9,1,1,1]/1,nu=[-9,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-6,8,1,1]/1,nu=[27,-15,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=154,lambda=[1,-5,13,1]/1,nu=[3,12,-15,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=176,lambda=[1,6,-9,11]/1,nu=[6,-9,36,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=194,lambda=[5,-3,1,9]/1,nu=[-3,9,3,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=195,lambda=[1,5,1,-7]/1,nu=[3,-3,3,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=208,lambda=[4,-2,7,-5]/1,nu=[-3,15,-12,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,3,-3,1]/1,nu=[0,0,9,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=102,lambda=[1,0,3,11]/1,nu=[6,9,0,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=123,lambda=[1,-1,13,-7]/1,nu=[3,6,-15,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=142,lambda=[1,10,-9,3]/1,nu=[6,-21,36,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=152,lambda=[10,-4,3,3]/1,nu=[-21,21,0,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=163,lambda=[8,-6,7,3]/1,nu=[-15,27,-12,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=174,lambda=[-5,3,3,3]/1,nu=[12,0,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=183,lambda=[7,-1,-3,9]/1,nu=[-6,6,9,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=191,lambda=[-4,1,5,3]/1,nu=[21,6,-6,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=204,lambda=[-3,3,-1,7]/1,nu=[9,0,6,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=111,lambda=[1,1,1,12]/1,nu=[6,6,6,-27]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=133,lambda=[1,1,11,-9]/1,nu=[3,3,-12,18]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=153,lambda=[1,10,-8,1]/1,nu=[6,-21,33,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=175,lambda=[8,-6,8,1]/1,nu=[-15,27,-15,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=193,lambda=[7,1,-5,7]/1,nu=[-6,3,12,-6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=196,lambda=[-4,1,6,1]/1,nu=[21,6,-9,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=209,lambda=[-3,5,-3,5]/1,nu=[9,-3,9,-3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=220,lambda=[1,-1,3,3]/1,nu=[3,6,0,0]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=181,lambda=[10,-2,1,1]/1,nu=[-21,15,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=202,lambda=[-5,5,1,1]/1,nu=[12,-3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=216,lambda=[-1,-1,7,-1]/1,nu=[6,6,-6,6]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=223,lambda=[0,3,-2,3]/1,nu=[9,0,15,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,3,0,1]/1,nu=[9,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=227,lambda=[1,1,0,3]/1,nu=[6,6,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=227,lambda=[2,1,0,3]/1,nu=[6,6,9,0]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,2,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,2,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=192,lambda=[1,1,-3,13]/1,nu=[3,3,9,-15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=205,lambda=[1,1,7,-8]/1,nu=[6,6,-12,33]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=207,lambda=[6,1,1,-4]/1,nu=[-9,6,6,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=213,lambda=[0,6,-3,-2]/1,nu=[9,-9,18,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=218,lambda=[-2,4,1,-2]/1,nu=[15,-3,6,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=221,lambda=[3,-1,3,0]/1,nu=[0,12,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=224,lambda=[3,0,1,2]/1,nu=[0,9,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=226,lambda=[1,0,3,0]/1,nu=[6,9,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,2,1,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=199,lambda=[6,0,3,-5]/1,nu=[-9,9,0,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=210,lambda=[-2,1,1,7]/1,nu=[15,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=215,lambda=[-2,3,3,-3]/1,nu=[15,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=219,lambda=[-1,1,5,-3]/1,nu=[6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,3,-1,1]/1,nu=[9,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,1,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=199,lambda=[6,0,3,-4]/1,nu=[-9,9,0,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=215,lambda=[-2,3,3,-2]/1,nu=[15,0,0,18]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=218,lambda=[-1,4,1,-1]/1,nu=[15,-3,6,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=219,lambda=[-1,1,5,-2]/1,nu=[6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,3,-1,2]/1,nu=[9,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=226,lambda=[2,0,3,1]/1,nu=[6,9,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,1,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,2,1,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=207,lambda=[6,1,1,-3]/1,nu=[-9,6,6,21]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=218,lambda=[-2,4,1,-1]/1,nu=[15,-3,6,15]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=224,lambda=[3,0,1,1]/1,nu=[0,9,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=226,lambda=[1,0,3,1]/1,nu=[6,9,0,9]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,2,1,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,1,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,1,1]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 cell character: 3 springer_O:3 survive:final parameter(x=110,lambda=[6,2,2,2]/1,nu=[-9,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=132,lambda=[-3,6,2,2]/1,nu=[27,-15,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=154,lambda=[2,-3,10,2]/1,nu=[3,12,-15,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=176,lambda=[2,5,-6,9]/1,nu=[6,-9,36,-24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=194,lambda=[5,-2,2,7]/1,nu=[-3,9,3,-9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=195,lambda=[2,4,2,-5]/1,nu=[3,-3,3,15]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=210,lambda=[-2,2,2,5]/1,nu=[15,6,6,-12]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=208,lambda=[4,-1,6,-3]/1,nu=[-3,15,-12,24]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=217,lambda=[3,3,-2,2]/1,nu=[0,0,9,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=219,lambda=[-1,2,4,-1]/1,nu=[6,3,-3,9]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=224,lambda=[3,0,2,2]/1,nu=[0,9,6,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=225,lambda=[0,3,0,2]/1,nu=[9,0,12,6]/2) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,1,2,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[1,2,2,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,1,2,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 survive:final parameter(x=228,lambda=[2,2,2,2]/1,nu=[3,3,3,3]/1) [ 1, 1, 1, 1 ]/1 Computing weak packets for 7 dual orbits of disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 9, 8, 5 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ 0, 0, 0, 0 ] dim=0 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -6, 2, 2, 2 ]/1 gamma_final:[ 0, 0, 0, 0 ]/1 integral data: st_int rd_int:root datum of Lie type 'C3.T1' st_int.rd: simply connected root datum of Lie type 'C3' O_check_int:(adjoint root datum of Lie type 'B3',(),[ 0, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'B3',(),[ 0, 0, 0 ]) computing springer map of[2,2,2] O: (simply connected root datum of Lie type 'C3',(),[ 5, 8, 9 ]) survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-6,2,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-6,2,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=14,lambda=[-4,3,1,2]/1,nu=[-3,2,2,-4]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=0,lambda=[-6,2,2,2]/1,nu=[0,0,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=6,lambda=[-5,3,1,2]/1,nu=[-1,2,-2,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 5, 4, 3 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ -1, 0, 1, 0 ] dim=8 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -13, 4, 5, 4 ]/2 gamma_final:[ -1, 0, 1, 0 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A1.A1.T1' st_int.rd: simply connected root datum of Lie type 'A1.A1.A1' O_check_int:(adjoint root datum of Lie type 'A1.A1.A1',(),[ 0, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A1.A1',(),[ 0, 0, 2 ]) computing springer map of[2,2,0] O: (simply connected root datum of Lie type 'A1.A1.A1',(),[ 1, 1, 0 ]) survive:final parameter(x=8,lambda=[-6,1,4,1]/1,nu=[-1,2,-3,2]/1) [ -1, 0, 1, 0 ]/2 survive:final parameter(x=25,lambda=[-2,1,2,1]/1,nu=[-13,4,5,4]/2) [ -1, 0, 1, 0 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-13,4,5,4]/2) [ -1, 0, 1, 0 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=8,lambda=[-5,1,4,1]/1,nu=[-1,2,-3,2]/1) [ -1, 0, 1, 0 ]/2 survive:final parameter(x=25,lambda=[-3,1,2,1]/1,nu=[-13,4,5,4]/2) [ -1, 0, 1, 0 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-13,4,5,4]/2) [ -1, 0, 1, 0 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=4,lambda=[-5,2,2,3]/1,nu=[0,0,-1,2]/1) [ -1, 0, 1, 0 ]/2 survive:final parameter(x=22,lambda=[-3,2,2,1]/1,nu=[-11,0,9,4]/2) [ -1, 0, 1, 0 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=22,lambda=[-3,2,1,1]/1,nu=[-11,0,9,4]/2) [ -1, 0, 1, 0 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=24,lambda=[-3,3,-1,2]/1,nu=[-13,4,7,0]/2) [ -1, 0, 1, 0 ]/2 survive:final parameter(x=24,lambda=[-2,3,-1,2]/1,nu=[-13,4,7,0]/2) [ -1, 0, 1, 0 ]/2 survive:final parameter(x=21,lambda=[-3,2,1,2]/1,nu=[-11,0,11,0]/2) [ -1, 0, 1, 0 ]/2 Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 5, 4, 3 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ -1, 0, 0, 2 ] dim=10 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -13, 4, 4, 6 ]/2 gamma_final:[ -1, 0, 0, 2 ]/2 integral data: st_int rd_int:root datum of Lie type 'C3.T1' st_int.rd: simply connected root datum of Lie type 'C3' O_check_int:(adjoint root datum of Lie type 'B3',(),[ 2, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'B3',(),[ 2, 0, 0 ]) computing springer map of[2,0,2] O: (simply connected root datum of Lie type 'C3',(),[ 3, 4, 5 ]) dim: 1 3 survive:final parameter(x=7,lambda=[-6,1,3,3]/1,nu=[-1,2,-2,0]/1) [ -1, 0, 0, 2 ]/2 survive:final parameter(x=15,lambda=[-4,2,2,0]/1,nu=[-7,0,0,14]/2) [ -1, 0, 0, 2 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=8,lambda=[-5,1,4,1]/1,nu=[-2,4,-7,6]/2) [ -1, 0, 0, 2 ]/2 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-13,4,4,6]/2) [ -1, 0, 0, 2 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=8,lambda=[-6,1,4,1]/1,nu=[-2,4,-7,6]/2) [ -1, 0, 0, 2 ]/2 survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-13,4,4,6]/2) [ -1, 0, 0, 2 ]/2 cell character: 6 springer_O:6 dim: 1 3 survive:final parameter(x=4,lambda=[-5,2,2,3]/1,nu=[0,0,-3,6]/2) [ -1, 0, 0, 2 ]/2 survive:final parameter(x=15,lambda=[-4,2,2,1]/1,nu=[-7,0,0,14]/2) [ -1, 0, 0, 2 ]/2 cell character: 6 springer_O:6 survive:final parameter(x=2,lambda=[-6,2,2,3]/1,nu=[0,0,0,0]/1) [ -1, 0, 0, 2 ]/2 survive:final parameter(x=19,lambda=[-4,1,3,0]/1,nu=[-9,4,-4,14]/2) [ -1, 0, 0, 2 ]/2 cell character: 6 springer_O:6 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=19,lambda=[-4,1,3,-1]/1,nu=[-9,4,-4,14]/2) [ -1, 0, 0, 2 ]/2 cell character: 6 springer_O:6 Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 4, 4, 2 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ -2, 1, 0, 1 ] dim=12 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -14, 5, 4, 5 ]/2 gamma_final:[ -2, 1, 0, 1 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A1.A1.T1' st_int.rd: simply connected root datum of Lie type 'A1.A1.A1' O_check_int:(adjoint root datum of Lie type 'A1.A1.A1',(),[ 0, 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A1.A1',(),[ 0, 2, 2 ]) computing springer map of[2,0,0] O: (simply connected root datum of Lie type 'A1.A1.A1',(),[ 1, 0, 0 ]) survive:final parameter(x=5,lambda=[-7,3,1,3]/1,nu=[0,-1,2,-1]/1) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=14,lambda=[-5,1,1,5]/1,nu=[-7,5,4,-9]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=14,lambda=[-5,2,1,4]/1,nu=[-7,5,4,-9]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=18,lambda=[-4,3,1,-1]/1,nu=[-7,-2,4,12]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=18,lambda=[-5,3,1,-1]/1,nu=[-7,-2,4,12]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=25,lambda=[-2,2,1,2]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=25,lambda=[-3,2,1,2]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=18,lambda=[-5,3,1,0]/1,nu=[-7,-2,4,12]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=25,lambda=[-2,1,1,2]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=25,lambda=[-3,2,1,1]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=18,lambda=[-4,3,1,0]/1,nu=[-7,-2,4,12]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=25,lambda=[-3,1,1,2]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=25,lambda=[-2,2,1,1]/1,nu=[-14,5,4,5]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=23,lambda=[-3,1,2,1]/1,nu=[-14,7,0,7]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=23,lambda=[-2,1,2,1]/1,nu=[-14,7,0,7]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=12,lambda=[-5,1,2,4]/1,nu=[-7,7,0,-7]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=23,lambda=[-3,1,2,2]/1,nu=[-14,7,0,7]/2) [ -2, 1, 0, 1 ]/2 survive:final parameter(x=23,lambda=[-2,1,2,2]/1,nu=[-14,7,0,7]/2) [ -2, 1, 0, 1 ]/2 Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 3, 2, 1 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ -2, 0, 2, 0 ] dim=14 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -7, 2, 3, 2 ]/1 gamma_final:[ -1, 0, 1, 0 ]/1 integral data: st_int rd_int:root datum of Lie type 'C3.T1' st_int.rd: simply connected root datum of Lie type 'C3' O_check_int:(adjoint root datum of Lie type 'B3',(),[ 0, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'B3',(),[ 0, 2, 0 ]) computing springer map of[0,0,2] O: (simply connected root datum of Lie type 'C3',(),[ 1, 2, 3 ]) dim: 1 3 survive:final parameter(x=1,lambda=[-7,2,3,2]/1,nu=[0,0,0,0]/1) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=10,lambda=[-5,2,1,4]/1,nu=[-5,0,10,-10]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=5,lambda=[-7,3,1,3]/1,nu=[0,-3,6,-3]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=14,lambda=[-5,1,1,5]/1,nu=[-7,4,6,-10]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=11,lambda=[-5,2,1,4]/1,nu=[-5,0,10,-10]/2) [ -1, 0, 1, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=13,lambda=[-4,3,0,3]/1,nu=[-5,-5,15,-5]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=13,lambda=[-5,3,0,3]/1,nu=[-5,-5,15,-5]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=21,lambda=[-3,2,1,2]/1,nu=[-6,0,6,0]/1) [ -1, 0, 1, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-7,2,3,2]/1) [ -1, 0, 1, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-7,2,3,2]/1) [ -1, 0, 1, 0 ]/1 cell character: 5 springer_O:5 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=10,lambda=[-5,2,2,3]/1,nu=[-5,0,10,-10]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=11,lambda=[-5,2,2,3]/1,nu=[-5,0,10,-10]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=13,lambda=[-5,3,1,2]/1,nu=[-5,-5,15,-5]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=24,lambda=[-2,3,-1,2]/1,nu=[-7,2,4,0]/1) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=13,lambda=[-4,3,1,2]/1,nu=[-5,-5,15,-5]/2) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=24,lambda=[-3,3,-1,2]/1,nu=[-7,2,4,0]/1) [ -1, 0, 1, 0 ]/1 survive:final parameter(x=22,lambda=[-3,2,1,1]/1,nu=[-6,0,5,2]/1) [ -1, 0, 1, 0 ]/1 cell character: 5 springer_O:5 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=22,lambda=[-3,2,2,1]/1,nu=[-6,0,5,2]/1) [ -1, 0, 1, 0 ]/1 Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 2, 2, 1 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ -3, 0, 2, 2 ] dim=16 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -15, 4, 6, 6 ]/2 gamma_final:[ -3, 0, 2, 2 ]/2 integral data: st_int rd_int:root datum of Lie type 'C3.T1' st_int.rd: simply connected root datum of Lie type 'C3' O_check_int:(adjoint root datum of Lie type 'B3',(),[ 2, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'B3',(),[ 2, 2, 0 ]) computing springer map of[0,1,0] O: (simply connected root datum of Lie type 'C3',(),[ 1, 2, 2 ]) dim: 1 3 survive:final parameter(x=7,lambda=[-7,1,4,3]/1,nu=[-1,2,-2,0]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=10,lambda=[-6,2,0,6]/1,nu=[-5,0,10,-10]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=11,lambda=[-6,2,0,6]/1,nu=[-5,0,10,-10]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=15,lambda=[-5,2,3,-2]/1,nu=[-4,0,0,8]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=8,lambda=[-6,1,5,1]/1,nu=[-2,4,-7,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=13,lambda=[-5,4,-2,4]/1,nu=[-5,-6,16,-4]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=24,lambda=[-3,1,0,3]/1,nu=[-15,4,9,0]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=25,lambda=[-3,1,2,1]/1,nu=[-15,4,6,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=8,lambda=[-7,1,5,1]/1,nu=[-2,4,-7,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=13,lambda=[-6,4,-2,4]/1,nu=[-5,-6,16,-4]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=24,lambda=[-2,1,0,3]/1,nu=[-15,4,9,0]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=25,lambda=[-2,1,2,1]/1,nu=[-15,4,6,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=16,lambda=[-5,2,3,-2]/1,nu=[-4,0,0,8]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=22,lambda=[-3,2,1,2]/1,nu=[-13,0,10,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=18,lambda=[-4,3,1,-1]/1,nu=[-8,-3,6,13]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-15,4,6,6]/2) [ -3, 0, 2, 2 ]/2 cell character: 3 springer_O:3 survive:final parameter(x=18,lambda=[-5,3,1,-1]/1,nu=[-8,-3,6,13]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-15,4,6,6]/2) [ -3, 0, 2, 2 ]/2 cell character: 3 springer_O:3 dim: 1 3 survive:final parameter(x=1,lambda=[-7,2,3,3]/1,nu=[0,0,0,0]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=4,lambda=[-6,2,3,3]/1,nu=[0,0,-3,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=10,lambda=[-6,2,1,5]/1,nu=[-5,0,10,-10]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=15,lambda=[-5,2,3,-1]/1,nu=[-4,0,0,8]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=2,lambda=[-7,2,3,3]/1,nu=[0,0,0,0]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=5,lambda=[-6,2,3,3]/1,nu=[0,-3,6,-3]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=14,lambda=[-5,3,1,4]/1,nu=[-7,4,6,-10]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=19,lambda=[-4,3,2,0]/1,nu=[-5,2,-2,8]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=3,lambda=[-7,2,3,3]/1,nu=[0,0,0,0]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=11,lambda=[-6,2,1,5]/1,nu=[-5,0,10,-10]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=13,lambda=[-5,4,-1,3]/1,nu=[-5,-6,16,-4]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=13,lambda=[-6,4,-1,3]/1,nu=[-5,-6,16,-4]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=9,lambda=[-6,3,2,2]/1,nu=[0,-3,3,3]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=21,lambda=[-3,2,0,3]/1,nu=[-13,0,13,0]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=18,lambda=[-4,3,1,0]/1,nu=[-8,-3,6,13]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=25,lambda=[-3,1,1,2]/1,nu=[-15,4,6,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=18,lambda=[-5,3,1,0]/1,nu=[-8,-3,6,13]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=25,lambda=[-2,1,1,2]/1,nu=[-15,4,6,6]/2) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=16,lambda=[-5,2,3,-1]/1,nu=[-4,0,0,8]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=22,lambda=[-3,2,1,1]/1,nu=[-13,0,10,6]/2) [ -3, 0, 2, 2 ]/2 cell character: 3 springer_O:3 survive:final parameter(x=22,lambda=[-3,2,2,1]/1,nu=[-13,0,10,6]/2) [ -3, 0, 2, 2 ]/2 cell character: 3 springer_O:3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=19,lambda=[-4,3,2,1]/1,nu=[-5,2,-2,8]/1) [ -3, 0, 2, 2 ]/2 survive:final parameter(x=22,lambda=[-3,2,2,2]/1,nu=[-13,0,10,6]/2) [ -3, 0, 2, 2 ]/2 Orbit by diagram: (root datum of Lie type 'C3.T1',(),[ 0, 0, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'B3.T1' [ -6, 2, 2, 2 ] dim=18 Computing weak packets for disconnected split real group with Lie algebra 'sp(6,R).gl(1,R)' gamma:[ -9, 3, 3, 3 ]/1 gamma_final:[ -3, 1, 1, 1 ]/1 integral data: st_int rd_int:root datum of Lie type 'C3.T1' st_int.rd: simply connected root datum of Lie type 'C3' O_check_int:(adjoint root datum of Lie type 'B3',(),[ 2, 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'B3',(),[ 2, 2, 2 ]) computing springer map of[0,0,0] O: (simply connected root datum of Lie type 'C3',(),[ 0, 0, 0 ]) survive:final parameter(x=0,lambda=[-9,3,3,3]/1,nu=[0,0,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=1,lambda=[-9,3,3,3]/1,nu=[0,0,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=4,lambda=[-9,3,4,1]/1,nu=[0,0,-3,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=6,lambda=[-8,1,5,3]/1,nu=[-3,6,-6,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=10,lambda=[-7,3,-1,7]/1,nu=[-3,0,6,-6]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=15,lambda=[-6,3,3,-3]/1,nu=[-9,0,0,18]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=2,lambda=[-9,3,3,3]/1,nu=[0,0,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=5,lambda=[-9,4,1,4]/1,nu=[0,-3,6,-3]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=12,lambda=[-6,0,3,6]/1,nu=[-9,9,0,-9]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=14,lambda=[-6,2,1,6]/1,nu=[-9,6,6,-12]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=19,lambda=[-5,2,4,-2]/1,nu=[-6,3,-3,9]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=3,lambda=[-9,3,3,3]/1,nu=[0,0,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[-8,1,5,3]/1,nu=[-3,6,-6,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=11,lambda=[-7,3,-1,7]/1,nu=[-3,0,6,-6]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=8,lambda=[-8,1,6,1]/1,nu=[-3,6,-9,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=13,lambda=[-7,5,-3,5]/1,nu=[-3,-3,9,-3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=20,lambda=[-3,-1,3,3]/1,nu=[-9,6,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=8,lambda=[-7,1,6,1]/1,nu=[-3,6,-9,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=13,lambda=[-6,5,-3,5]/1,nu=[-3,-3,9,-3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=20,lambda=[-2,-1,3,3]/1,nu=[-9,6,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=9,lambda=[-9,5,1,1]/1,nu=[0,-3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=17,lambda=[-5,-1,7,-1]/1,nu=[-6,6,-6,6]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=21,lambda=[-4,3,-2,3]/1,nu=[-15,0,15,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=18,lambda=[-6,4,1,-2]/1,nu=[-9,-3,6,15]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=23,lambda=[-3,0,3,0]/1,nu=[-18,9,0,9]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,2,1,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=18,lambda=[-5,4,1,-2]/1,nu=[-9,-3,6,15]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=23,lambda=[-2,0,3,0]/1,nu=[-18,9,0,9]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,2,1,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=14,lambda=[-6,1,1,7]/1,nu=[-9,6,6,-12]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=16,lambda=[-6,3,3,-3]/1,nu=[-9,0,0,18]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=19,lambda=[-5,1,5,-3]/1,nu=[-6,3,-3,9]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=22,lambda=[-4,3,-1,1]/1,nu=[-15,0,12,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=22,lambda=[-4,3,0,1]/1,nu=[-15,0,12,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=24,lambda=[-3,1,0,3]/1,nu=[-18,6,9,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=24,lambda=[-2,1,0,3]/1,nu=[-18,6,9,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,1,2,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,1,2,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,1,1,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 cell character: 0 springer_O:0 survive:final parameter(x=25,lambda=[-2,1,1,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 cell character: 0 springer_O:0 survive:final parameter(x=6,lambda=[-8,2,4,3]/1,nu=[-3,6,-6,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[-8,2,4,3]/1,nu=[-3,6,-6,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=10,lambda=[-7,3,0,6]/1,nu=[-3,0,6,-6]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=11,lambda=[-7,3,0,6]/1,nu=[-3,0,6,-6]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=14,lambda=[-6,1,2,6]/1,nu=[-9,6,6,-12]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=15,lambda=[-6,3,3,-2]/1,nu=[-9,0,0,18]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=8,lambda=[-7,2,5,1]/1,nu=[-3,6,-9,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=13,lambda=[-6,5,-2,4]/1,nu=[-3,-3,9,-3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=20,lambda=[-2,-1,4,2]/1,nu=[-9,6,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=24,lambda=[-2,2,-1,3]/1,nu=[-18,6,9,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,2,2,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=8,lambda=[-8,2,5,1]/1,nu=[-3,6,-9,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=13,lambda=[-7,5,-2,4]/1,nu=[-3,-3,9,-3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=20,lambda=[-3,-1,4,2]/1,nu=[-9,6,0,0]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=24,lambda=[-3,2,-1,3]/1,nu=[-18,6,9,0]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,2,2,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=16,lambda=[-6,3,3,-2]/1,nu=[-9,0,0,18]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=19,lambda=[-5,1,5,-2]/1,nu=[-6,3,-3,9]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=22,lambda=[-4,3,-1,2]/1,nu=[-15,0,12,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=18,lambda=[-5,4,1,-1]/1,nu=[-9,-3,6,15]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=23,lambda=[-2,0,3,1]/1,nu=[-18,9,0,9]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,1,1,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,2,1,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=18,lambda=[-6,4,1,-1]/1,nu=[-9,-3,6,15]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=23,lambda=[-3,0,3,1]/1,nu=[-18,9,0,9]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,1,1,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,2,1,1]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=14,lambda=[-6,2,2,5]/1,nu=[-9,6,6,-12]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=19,lambda=[-5,2,4,-1]/1,nu=[-6,3,-3,9]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=22,lambda=[-4,3,0,2]/1,nu=[-15,0,12,6]/2) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,1,2,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,1,2,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-3,2,2,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 survive:final parameter(x=25,lambda=[-2,2,2,2]/1,nu=[-9,3,3,3]/1) [ -3, 1, 1, 1 ]/1 Computing weak packets for 6 dual orbits of disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' Orbit by diagram: (root datum of Lie type 'A1.A2.T1',(),[ 1, 0, 2, 2 ]) Computing weak packet for orbit: root datum of Lie type 'A1.A2.T1' [ 0, 0, 0, 0 ] dim=0 Computing weak packets for disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' gamma:[ 2, -3, 2, 2 ]/1 gamma_final:[ 0, 0, 0, 0 ]/1 integral data: st_int rd_int:root datum of Lie type 'A1.A2.T1' st_int.rd: simply connected root datum of Lie type 'A1.A2' O_check_int:(adjoint root datum of Lie type 'A1.A2',(),[ 0, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'A1.A2',(),[ 0, 0, 0 ]) computing springer map of[2,2,2] O: (simply connected root datum of Lie type 'A1.A2',(),[ 1, 2, 0 ]) survive:final parameter(x=7,lambda=[2,-3,2,2]/2,nu=[2,-3,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=4,lambda=[4,-3,2,2]/2,nu=[0,-2,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=7,lambda=[2,-1,2,2]/2,nu=[2,-3,2,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=1,lambda=[2,-5,4,4]/2,nu=[2,-1,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=0,lambda=[4,-5,4,4]/2,nu=[0,0,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=1,lambda=[2,-5,6,2]/2,nu=[2,-1,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 Orbit by diagram: (root datum of Lie type 'A1.A2.T1',(),[ 0, 0, 2, 2 ]) Computing weak packet for orbit: root datum of Lie type 'A1.A2.T1' [ 2, -1, 0, 0 ] dim=2 Computing weak packets for disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' gamma:[ 6, -7, 4, 4 ]/2 gamma_final:[ 2, -1, 0, 0 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A2.T1' st_int.rd: simply connected root datum of Lie type 'A1.A2' O_check_int:(adjoint root datum of Lie type 'A1.A2',(),[ 2, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'A1.A2',(),[ 2, 0, 0 ]) computing springer map of[0,2,2] O: (simply connected root datum of Lie type 'A1.A2',(),[ 0, 2, 0 ]) survive:final parameter(x=4,lambda=[6,-5,2,2]/2,nu=[0,-2,2,2]/1) [ 2, -1, 0, 0 ]/2 survive:final parameter(x=7,lambda=[2,-1,2,2]/2,nu=[6,-7,4,4]/2) [ 2, -1, 0, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[2,-3,2,2]/2,nu=[6,-7,4,4]/2) [ 2, -1, 0, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[4,-3,2,2]/2,nu=[6,-7,4,4]/2) [ 2, -1, 0, 0 ]/2 survive:final parameter(x=7,lambda=[4,-1,2,2]/2,nu=[6,-7,4,4]/2) [ 2, -1, 0, 0 ]/2 survive:final parameter(x=0,lambda=[6,-7,4,4]/2,nu=[0,0,0,0]/1) [ 2, -1, 0, 0 ]/2 survive:final parameter(x=1,lambda=[2,-5,6,2]/2,nu=[6,-3,0,0]/2) [ 2, -1, 0, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=1,lambda=[2,-5,4,4]/2,nu=[6,-3,0,0]/2) [ 2, -1, 0, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=1,lambda=[4,-5,4,4]/2,nu=[6,-3,0,0]/2) [ 2, -1, 0, 0 ]/2 survive:final parameter(x=1,lambda=[4,-5,6,2]/2,nu=[6,-3,0,0]/2) [ 2, -1, 0, 0 ]/2 Orbit by diagram: (root datum of Lie type 'A1.A2.T1',(),[ 1, 0, 1, 1 ]) Computing weak packet for orbit: root datum of Lie type 'A1.A2.T1' [ 0, -1, 1, 1 ] dim=4 Computing weak packets for disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' gamma:[ 4, -7, 5, 5 ]/2 gamma_final:[ 0, -1, 1, 1 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A1.T1.T1' st_int.rd: simply connected root datum of Lie type 'A1.A1' O_check_int:(adjoint root datum of Lie type 'A1.A1',(),[ 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A1',(),[ 0, 2 ]) computing springer map of[2,0] O: (simply connected root datum of Lie type 'A1.A1',(),[ 1, 0 ]) survive:final parameter(x=1,lambda=[2,-5,6,4]/2,nu=[2,-1,0,0]/1) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-3,2,2]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[2,-1,4,4]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=0,lambda=[4,-7,6,4]/2,nu=[0,0,0,0]/1) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=4,lambda=[4,-3,2,2]/2,nu=[0,-5,5,5]/2) [ 0, -1, 1, 1 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=4,lambda=[4,-3,4,4]/2,nu=[0,-5,5,5]/2) [ 0, -1, 1, 1 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=1,lambda=[2,-5,8,2]/2,nu=[2,-1,0,0]/1) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-3,4,4]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[2,-1,2,2]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[2,-3,4,2]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=4,lambda=[4,-3,4,2]/2,nu=[0,-5,5,5]/2) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-1,4,2]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-3,2,4]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=4,lambda=[4,-3,2,4]/2,nu=[0,-5,5,5]/2) [ 0, -1, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-1,2,4]/2,nu=[4,-7,5,5]/2) [ 0, -1, 1, 1 ]/2 Orbit by diagram: (root datum of Lie type 'A1.A2.T1',(),[ 0, 0, 1, 1 ]) Computing weak packet for orbit: root datum of Lie type 'A1.A2.T1' [ 2, -2, 1, 1 ] dim=6 Computing weak packets for disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' gamma:[ 6, -8, 5, 5 ]/2 gamma_final:[ 2, -2, 1, 1 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A1.T1.T1' st_int.rd: simply connected root datum of Lie type 'A1.A1' O_check_int:(adjoint root datum of Lie type 'A1.A1',(),[ 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A1',(),[ 2, 2 ]) computing springer map of[0,0] O: (simply connected root datum of Lie type 'A1.A1',(),[ 0, 0 ]) survive:final parameter(x=0,lambda=[6,-7,6,4]/2,nu=[0,0,0,0]/1) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=1,lambda=[2,-5,8,2]/2,nu=[6,-3,0,0]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=1,lambda=[2,-5,6,4]/2,nu=[6,-3,0,0]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=4,lambda=[6,-5,2,2]/2,nu=[0,-5,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=4,lambda=[6,-5,4,4]/2,nu=[0,-5,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-1,2,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[2,-3,2,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[2,-3,4,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[2,-1,4,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=1,lambda=[4,-5,6,4]/2,nu=[6,-3,0,0]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-3,2,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-1,4,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=1,lambda=[4,-5,8,2]/2,nu=[6,-3,0,0]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-3,4,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-1,2,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=4,lambda=[6,-5,4,2]/2,nu=[0,-5,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-1,4,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-3,4,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-3,4,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-1,4,2]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=4,lambda=[6,-5,2,4]/2,nu=[0,-5,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-1,2,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[2,-3,2,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-3,2,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 survive:final parameter(x=7,lambda=[4,-1,2,4]/2,nu=[6,-8,5,5]/2) [ 2, -2, 1, 1 ]/2 Orbit by diagram: (root datum of Lie type 'A1.A2.T1',(),[ 1, 0, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'A1.A2.T1' [ 0, -2, 2, 2 ] dim=6 Computing weak packets for disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' gamma:[ 2, -4, 3, 3 ]/1 gamma_final:[ 0, -1, 1, 1 ]/1 integral data: st_int rd_int:root datum of Lie type 'A1.A2.T1' st_int.rd: simply connected root datum of Lie type 'A1.A2' O_check_int:(adjoint root datum of Lie type 'A1.A2',(),[ 0, 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A2',(),[ 0, 2, 2 ]) computing springer map of[2,0,0] O: (simply connected root datum of Lie type 'A1.A2',(),[ 1, 0, 0 ]) survive:final parameter(x=1,lambda=[2,-7,6,6]/2,nu=[2,-1,0,0]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=5,lambda=[2,-5,6,0]/2,nu=[4,-5,0,9]/2) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-1,2,4]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=6,lambda=[2,-3,0,6]/2,nu=[4,-8,9,0]/2) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-3,4,2]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-3,2,2]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 cell character: 3 springer_O:3 survive:final parameter(x=0,lambda=[4,-7,6,6]/2,nu=[0,0,0,0]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=2,lambda=[4,-5,6,0]/2,nu=[0,-3,0,9]/2) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=4,lambda=[4,-3,2,4]/2,nu=[0,-3,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=3,lambda=[4,-3,0,6]/2,nu=[0,-6,9,0]/2) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=4,lambda=[4,-3,4,2]/2,nu=[0,-3,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=4,lambda=[4,-3,2,2]/2,nu=[0,-3,3,3]/1) [ 0, -1, 1, 1 ]/1 cell character: 3 springer_O:3 survive:final parameter(x=1,lambda=[2,-7,8,4]/2,nu=[2,-1,0,0]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=5,lambda=[2,-5,6,2]/2,nu=[4,-5,0,9]/2) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-3,2,4]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=6,lambda=[2,-1,-2,6]/2,nu=[4,-8,9,0]/2) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-1,4,2]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-1,2,2]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 cell character: 3 springer_O:3 survive:final parameter(x=7,lambda=[2,-3,4,4]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=4,lambda=[4,-3,4,4]/2,nu=[0,-3,3,3]/1) [ 0, -1, 1, 1 ]/1 survive:final parameter(x=7,lambda=[2,-1,4,4]/2,nu=[2,-4,3,3]/1) [ 0, -1, 1, 1 ]/1 Orbit by diagram: (root datum of Lie type 'A1.A2.T1',(),[ 0, 0, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'A1.A2.T1' [ 2, -3, 2, 2 ] dim=8 Computing weak packets for disconnected split real group with Lie algebra 'sl(2,R).sl(3,R).gl(1,R)' gamma:[ 6, -9, 6, 6 ]/2 gamma_final:[ 2, -3, 2, 2 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A2.T1' st_int.rd: simply connected root datum of Lie type 'A1.A2' O_check_int:(adjoint root datum of Lie type 'A1.A2',(),[ 2, 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A2',(),[ 2, 2, 2 ]) computing springer map of[0,0,0] O: (simply connected root datum of Lie type 'A1.A2',(),[ 0, 0, 0 ]) survive:final parameter(x=0,lambda=[6,-9,6,6]/2,nu=[0,0,0,0]/1) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=1,lambda=[2,-7,8,4]/2,nu=[6,-3,0,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=1,lambda=[2,-7,6,6]/2,nu=[6,-3,0,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=2,lambda=[6,-7,6,0]/2,nu=[0,-3,0,9]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=4,lambda=[6,-5,2,4]/2,nu=[0,-3,3,3]/1) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=3,lambda=[6,-5,0,6]/2,nu=[0,-6,9,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=4,lambda=[6,-5,4,2]/2,nu=[0,-3,3,3]/1) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=4,lambda=[6,-5,2,2]/2,nu=[0,-3,3,3]/1) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=5,lambda=[2,-5,6,2]/2,nu=[6,-6,0,9]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-3,2,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=5,lambda=[2,-5,6,0]/2,nu=[6,-6,0,9]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-1,2,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=6,lambda=[2,-1,-2,6]/2,nu=[6,-9,9,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-1,4,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=6,lambda=[2,-3,0,6]/2,nu=[6,-9,9,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-3,4,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-1,2,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[2,-3,2,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=1,lambda=[4,-7,6,6]/2,nu=[6,-3,0,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=5,lambda=[4,-5,6,0]/2,nu=[6,-6,0,9]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-1,2,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=6,lambda=[4,-3,0,6]/2,nu=[6,-9,9,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-3,4,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-3,2,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=1,lambda=[4,-7,8,4]/2,nu=[6,-3,0,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=5,lambda=[4,-5,6,2]/2,nu=[6,-6,0,9]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-3,2,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=6,lambda=[4,-1,-2,6]/2,nu=[6,-9,9,0]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-1,4,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-1,2,2]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=4,lambda=[6,-5,4,4]/2,nu=[0,-3,3,3]/1) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-1,4,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[2,-3,4,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-3,4,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 survive:final parameter(x=7,lambda=[4,-1,4,4]/2,nu=[6,-9,6,6]/2) [ 2, -3, 2, 2 ]/2 Computing weak packets for 6 dual orbits of disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' Orbit by diagram: (root datum of Lie type 'A2.A1.T1',(),[ 2, 2, 0, 1 ]) Computing weak packet for orbit: root datum of Lie type 'A2.A1.T1' [ 0, 0, 0, 0 ] dim=0 Computing weak packets for disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' gamma:[ 2, 2, -5, 2 ]/1 gamma_final:[ 0, 0, 0, 0 ]/1 integral data: st_int rd_int:root datum of Lie type 'A2.A1.T1' st_int.rd: simply connected root datum of Lie type 'A2.A1' O_check_int:(adjoint root datum of Lie type 'A2.A1',(),[ 0, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'A2.A1',(),[ 0, 0, 0 ]) computing springer map of[2,2,2] O: (simply connected root datum of Lie type 'A2.A1',(),[ 2, 0, 1 ]) survive:final parameter(x=7,lambda=[2,2,-5,2]/2,nu=[2,2,-5,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=1,lambda=[4,4,-9,2]/2,nu=[0,0,-1,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=7,lambda=[2,2,-3,2]/2,nu=[2,2,-5,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=1,lambda=[4,4,-7,2]/2,nu=[0,0,-1,2]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=6,lambda=[2,2,-5,4]/2,nu=[2,2,-4,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=0,lambda=[4,4,-9,4]/2,nu=[0,0,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 5 springer_O:5 Orbit by diagram: (root datum of Lie type 'A2.A1.T1',(),[ 2, 2, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'A2.A1.T1' [ 0, 0, -1, 2 ] dim=2 Computing weak packets for disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' gamma:[ 4, 4, -11, 6 ]/2 gamma_final:[ 0, 0, -1, 2 ]/2 integral data: st_int rd_int:root datum of Lie type 'A2.A1.T1' st_int.rd: simply connected root datum of Lie type 'A2.A1' O_check_int:(adjoint root datum of Lie type 'A2.A1',(),[ 0, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'A2.A1',(),[ 0, 0, 2 ]) computing springer map of[2,2,0] O: (simply connected root datum of Lie type 'A2.A1',(),[ 2, 0, 0 ]) survive:final parameter(x=6,lambda=[2,2,-7,6]/2,nu=[2,2,-4,0]/1) [ 0, 0, -1, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,2]/2,nu=[4,4,-11,6]/2) [ 0, 0, -1, 2 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=7,lambda=[2,2,-5,2]/2,nu=[4,4,-11,6]/2) [ 0, 0, -1, 2 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=0,lambda=[4,4,-11,6]/2,nu=[0,0,0,0]/1) [ 0, 0, -1, 2 ]/2 survive:final parameter(x=1,lambda=[4,4,-7,2]/2,nu=[0,0,-3,6]/2) [ 0, 0, -1, 2 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=1,lambda=[4,4,-9,2]/2,nu=[0,0,-3,6]/2) [ 0, 0, -1, 2 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=7,lambda=[2,2,-5,4]/2,nu=[4,4,-11,6]/2) [ 0, 0, -1, 2 ]/2 survive:final parameter(x=1,lambda=[4,4,-9,4]/2,nu=[0,0,-3,6]/2) [ 0, 0, -1, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,4]/2,nu=[4,4,-11,6]/2) [ 0, 0, -1, 2 ]/2 survive:final parameter(x=1,lambda=[4,4,-7,4]/2,nu=[0,0,-3,6]/2) [ 0, 0, -1, 2 ]/2 Orbit by diagram: (root datum of Lie type 'A2.A1.T1',(),[ 1, 1, 0, 1 ]) Computing weak packet for orbit: root datum of Lie type 'A2.A1.T1' [ 1, 1, -2, 0 ] dim=4 Computing weak packets for disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' gamma:[ 5, 5, -12, 4 ]/2 gamma_final:[ 1, 1, -2, 0 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A1.T1.T1' st_int.rd: simply connected root datum of Lie type 'A1.A1' O_check_int:(adjoint root datum of Lie type 'A1.A1',(),[ 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A1',(),[ 0, 2 ]) computing springer map of[2,0] O: (simply connected root datum of Lie type 'A1.A1',(),[ 1, 0 ]) survive:final parameter(x=1,lambda=[6,4,-9,2]/2,nu=[0,0,-1,2]/1) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=7,lambda=[2,2,-5,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[4,4,-5,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[4,2,-5,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=7,lambda=[2,4,-5,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=1,lambda=[6,4,-7,2]/2,nu=[0,0,-1,2]/1) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[4,4,-3,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=7,lambda=[4,2,-3,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=7,lambda=[2,4,-3,2]/2,nu=[5,5,-12,4]/2) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=0,lambda=[6,4,-9,4]/2,nu=[0,0,0,0]/1) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=6,lambda=[2,2,-5,4]/2,nu=[5,5,-10,0]/2) [ 1, 1, -2, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=6,lambda=[4,4,-5,4]/2,nu=[5,5,-10,0]/2) [ 1, 1, -2, 0 ]/2 cell character: 2 springer_O:2 survive:final parameter(x=6,lambda=[4,2,-5,4]/2,nu=[5,5,-10,0]/2) [ 1, 1, -2, 0 ]/2 survive:final parameter(x=6,lambda=[2,4,-5,4]/2,nu=[5,5,-10,0]/2) [ 1, 1, -2, 0 ]/2 Orbit by diagram: (root datum of Lie type 'A2.A1.T1',(),[ 0, 0, 0, 1 ]) Computing weak packet for orbit: root datum of Lie type 'A2.A1.T1' [ 2, 2, -4, 0 ] dim=6 Computing weak packets for disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' gamma:[ 3, 3, -7, 2 ]/1 gamma_final:[ 1, 1, -2, 0 ]/1 integral data: st_int rd_int:root datum of Lie type 'A2.A1.T1' st_int.rd: simply connected root datum of Lie type 'A2.A1' O_check_int:(adjoint root datum of Lie type 'A2.A1',(),[ 2, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'A2.A1',(),[ 2, 2, 0 ]) computing springer map of[0,0,2] O: (simply connected root datum of Lie type 'A2.A1',(),[ 0, 0, 1 ]) survive:final parameter(x=1,lambda=[6,6,-13,2]/2,nu=[0,0,-1,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=4,lambda=[6,0,-5,2]/2,nu=[0,9,-14,4]/2) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=7,lambda=[2,4,-5,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=5,lambda=[0,6,-9,2]/2,nu=[9,0,-8,4]/2) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=7,lambda=[4,2,-5,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=7,lambda=[2,2,-5,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 cell character: 1 springer_O:1 survive:final parameter(x=7,lambda=[4,4,-5,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=1,lambda=[6,6,-11,2]/2,nu=[0,0,-1,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=4,lambda=[6,0,-3,2]/2,nu=[0,9,-14,4]/2) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=7,lambda=[2,4,-3,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=5,lambda=[0,6,-7,2]/2,nu=[9,0,-8,4]/2) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=7,lambda=[4,2,-3,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=7,lambda=[2,2,-3,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 cell character: 1 springer_O:1 survive:final parameter(x=7,lambda=[4,4,-3,2]/2,nu=[3,3,-7,2]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=0,lambda=[6,6,-13,4]/2,nu=[0,0,0,0]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=2,lambda=[6,0,-5,4]/2,nu=[0,9,-12,0]/2) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=6,lambda=[2,4,-5,4]/2,nu=[3,3,-6,0]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=3,lambda=[0,6,-9,4]/2,nu=[9,0,-6,0]/2) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=6,lambda=[4,2,-5,4]/2,nu=[3,3,-6,0]/1) [ 1, 1, -2, 0 ]/1 survive:final parameter(x=6,lambda=[2,2,-5,4]/2,nu=[3,3,-6,0]/1) [ 1, 1, -2, 0 ]/1 cell character: 1 springer_O:1 survive:final parameter(x=6,lambda=[4,4,-5,4]/2,nu=[3,3,-6,0]/1) [ 1, 1, -2, 0 ]/1 Orbit by diagram: (root datum of Lie type 'A2.A1.T1',(),[ 1, 1, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'A2.A1.T1' [ 1, 1, -3, 2 ] dim=6 Computing weak packets for disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' gamma:[ 5, 5, -13, 6 ]/2 gamma_final:[ 1, 1, -3, 2 ]/2 integral data: st_int rd_int:root datum of Lie type 'A1.A1.T1.T1' st_int.rd: simply connected root datum of Lie type 'A1.A1' O_check_int:(adjoint root datum of Lie type 'A1.A1',(),[ 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'A1.A1',(),[ 2, 2 ]) computing springer map of[0,0] O: (simply connected root datum of Lie type 'A1.A1',(),[ 0, 0 ]) survive:final parameter(x=0,lambda=[6,4,-11,6]/2,nu=[0,0,0,0]/1) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=1,lambda=[6,4,-7,2]/2,nu=[0,0,-3,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=1,lambda=[6,4,-9,2]/2,nu=[0,0,-3,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=6,lambda=[2,2,-7,6]/2,nu=[5,5,-10,0]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=6,lambda=[4,4,-7,6]/2,nu=[5,5,-10,0]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[2,2,-5,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[4,4,-3,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[4,4,-5,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=6,lambda=[4,2,-7,6]/2,nu=[5,5,-10,0]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-3,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-5,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=6,lambda=[2,4,-7,6]/2,nu=[5,5,-10,0]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-3,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-5,2]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=1,lambda=[6,4,-9,4]/2,nu=[0,0,-3,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-5,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[4,4,-5,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-5,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-5,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=1,lambda=[6,4,-7,4]/2,nu=[0,0,-3,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[4,4,-3,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-3,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-3,4]/2,nu=[5,5,-13,6]/2) [ 1, 1, -3, 2 ]/2 Orbit by diagram: (root datum of Lie type 'A2.A1.T1',(),[ 0, 0, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'A2.A1.T1' [ 2, 2, -5, 2 ] dim=8 Computing weak packets for disconnected split real group with Lie algebra 'sl(3,R).sl(2,R).gl(1,R)' gamma:[ 6, 6, -15, 6 ]/2 gamma_final:[ 2, 2, -5, 2 ]/2 integral data: st_int rd_int:root datum of Lie type 'A2.A1.T1' st_int.rd: simply connected root datum of Lie type 'A2.A1' O_check_int:(adjoint root datum of Lie type 'A2.A1',(),[ 2, 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'A2.A1',(),[ 2, 2, 2 ]) computing springer map of[0,0,0] O: (simply connected root datum of Lie type 'A2.A1',(),[ 0, 0, 0 ]) survive:final parameter(x=0,lambda=[6,6,-15,6]/2,nu=[0,0,0,0]/1) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=1,lambda=[6,6,-11,2]/2,nu=[0,0,-3,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=1,lambda=[6,6,-13,2]/2,nu=[0,0,-3,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=2,lambda=[6,0,-7,6]/2,nu=[0,9,-12,0]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=6,lambda=[2,4,-7,6]/2,nu=[3,3,-6,0]/1) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=3,lambda=[0,6,-11,6]/2,nu=[9,0,-6,0]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=6,lambda=[4,2,-7,6]/2,nu=[3,3,-6,0]/1) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=4,lambda=[6,0,-3,2]/2,nu=[0,9,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-3,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=4,lambda=[6,0,-5,2]/2,nu=[0,9,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-5,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=5,lambda=[0,6,-7,2]/2,nu=[9,0,-9,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-3,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=5,lambda=[0,6,-9,2]/2,nu=[9,0,-9,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-5,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=6,lambda=[2,2,-7,6]/2,nu=[3,3,-6,0]/1) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[2,2,-5,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=6,lambda=[4,4,-7,6]/2,nu=[3,3,-6,0]/1) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,4,-3,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,4,-5,2]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=1,lambda=[6,6,-13,4]/2,nu=[0,0,-3,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=4,lambda=[6,0,-5,4]/2,nu=[0,9,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-5,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=5,lambda=[0,6,-9,4]/2,nu=[9,0,-9,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-5,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-5,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,4,-5,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=1,lambda=[6,6,-11,4]/2,nu=[0,0,-3,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=4,lambda=[6,0,-3,4]/2,nu=[0,9,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,4,-3,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=5,lambda=[0,6,-7,4]/2,nu=[9,0,-9,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,2,-3,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[2,2,-3,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 survive:final parameter(x=7,lambda=[4,4,-3,4]/2,nu=[6,6,-15,6]/2) [ 2, 2, -5, 2 ]/2 Computing weak packets for 8 dual orbits of disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 6, 10, 6, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 0, 0, 0, 0 ] dim=0 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 2, 2, 2, -9 ]/1 gamma_final:[ 0, 0, 0, 0 ]/1 integral data: st_int rd_int:root datum of Lie type 'B3.T1' st_int.rd: simply connected root datum of Lie type 'B3' O_check_int:(adjoint root datum of Lie type 'C3',(),[ 0, 0, 0 ]) computing packet for:(adjoint root datum of Lie type 'C3',(),[ 0, 0, 0 ]) computing springer map of[2,2,2] O: (simply connected root datum of Lie type 'B3',(),[ 6, 10, 6 ]) survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[2,2,2,-9]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=7,lambda=[2,6,2,-15]/2,nu=[2,-2,2,-1]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=0,lambda=[4,4,4,-17]/2,nu=[0,0,0,0]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[2,2,2,-9]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 survive:final parameter(x=7,lambda=[2,6,2,-17]/2,nu=[2,-2,2,-1]/1) [ 0, 0, 0, 0 ]/1 cell character: 9 springer_O:9 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 4, 6, 3, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 1, 0, 0, -1 ] dim=6 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 5, 4, 4, -19 ]/2 gamma_final:[ 1, 0, 0, -1 ]/2 integral data: st_int rd_int:root datum of Lie type 'B2.A1.T1' st_int.rd: simply connected root datum of Lie type 'B2.A1' O_check_int:(adjoint root datum of Lie type 'C2.A1',(),[ 0, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'C2.A1',(),[ 0, 0, 2 ]) computing springer map of[2,2,0] O: (simply connected root datum of Lie type 'B2.A1',(),[ 4, 3, 0 ]) survive:final parameter(x=13,lambda=[8,2,2,-13]/2,nu=[-3,2,2,-4]/1) [ 1, 0, 0, -1 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[5,4,4,-19]/2) [ 1, 0, 0, -1 ]/2 cell character: 8 springer_O:8 survive:final parameter(x=24,lambda=[4,2,2,-7]/2,nu=[5,4,4,-19]/2) [ 1, 0, 0, -1 ]/2 cell character: 8 springer_O:8 survive:final parameter(x=13,lambda=[8,2,2,-15]/2,nu=[-3,2,2,-4]/1) [ 1, 0, 0, -1 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[5,4,4,-19]/2) [ 1, 0, 0, -1 ]/2 cell character: 8 springer_O:8 survive:final parameter(x=24,lambda=[4,2,2,-9]/2,nu=[5,4,4,-19]/2) [ 1, 0, 0, -1 ]/2 cell character: 8 springer_O:8 survive:final parameter(x=4,lambda=[6,2,6,-19]/2,nu=[-1,2,-2,0]/1) [ 1, 0, 0, -1 ]/2 survive:final parameter(x=17,lambda=[0,2,6,-11]/2,nu=[9,4,-4,-11]/2) [ 1, 0, 0, -1 ]/2 cell character: 8 springer_O:8 survive:final parameter(x=17,lambda=[0,2,6,-13]/2,nu=[9,4,-4,-11]/2) [ 1, 0, 0, -1 ]/2 cell character: 8 springer_O:8 survive:final parameter(x=14,lambda=[0,4,4,-11]/2,nu=[11,0,0,-11]/2) [ 1, 0, 0, -1 ]/2 survive:final parameter(x=14,lambda=[0,4,4,-9]/2,nu=[11,0,0,-11]/2) [ 1, 0, 0, -1 ]/2 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 4, 6, 3, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 0, 1, 0, -2 ] dim=10 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 4, 5, 4, -20 ]/2 gamma_final:[ 0, 1, 0, -2 ]/2 integral data: st_int rd_int:root datum of Lie type 'B2.A1.T1' st_int.rd: simply connected root datum of Lie type 'B2.A1' O_check_int:(adjoint root datum of Lie type 'C2.A1',(),[ 0, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'C2.A1',(),[ 0, 2, 0 ]) computing springer map of[2,0,2] O: (simply connected root datum of Lie type 'B2.A1',(),[ 2, 1, 1 ]) dim: 1 2 survive:final parameter(x=6,lambda=[4,6,2,-19]/2,nu=[0,-1,2,-1]/1) [ 0, 1, 0, -2 ]/2 survive:final parameter(x=23,lambda=[4,2,2,-7]/2,nu=[0,7,4,-20]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 survive:final parameter(x=13,lambda=[6,4,2,-15]/2,nu=[-7,5,4,-9]/2) [ 0, 1, 0, -2 ]/2 survive:final parameter(x=24,lambda=[2,4,2,-9]/2,nu=[4,5,4,-20]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 survive:final parameter(x=13,lambda=[8,2,2,-13]/2,nu=[-7,5,4,-9]/2) [ 0, 1, 0, -2 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[4,5,4,-20]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 dim: 1 2 dim: 1 2 dim: 1 2 survive:final parameter(x=6,lambda=[4,6,2,-17]/2,nu=[0,-1,2,-1]/1) [ 0, 1, 0, -2 ]/2 survive:final parameter(x=23,lambda=[4,2,2,-9]/2,nu=[0,7,4,-20]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 survive:final parameter(x=13,lambda=[6,4,2,-13]/2,nu=[-7,5,4,-9]/2) [ 0, 1, 0, -2 ]/2 survive:final parameter(x=24,lambda=[2,4,2,-7]/2,nu=[4,5,4,-20]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 survive:final parameter(x=13,lambda=[8,2,2,-15]/2,nu=[-7,5,4,-9]/2) [ 0, 1, 0, -2 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[4,5,4,-20]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 dim: 1 2 dim: 1 2 dim: 1 2 dim: 1 2 dim: 1 2 dim: 1 2 dim: 1 2 dim: 1 2 survive:final parameter(x=20,lambda=[4,0,4,-9]/2,nu=[0,9,0,-18]/2) [ 0, 1, 0, -2 ]/2 cell character: 5 springer_O:5 dim: 1 2 dim: 1 2 dim: 1 2 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 2, 4, 2, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 0, 0, 2, -3 ] dim=12 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 4, 4, 6, -21 ]/2 gamma_final:[ 0, 0, 2, -3 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.T1' st_int.rd: simply connected root datum of Lie type 'B3' O_check_int:(adjoint root datum of Lie type 'C3',(),[ 0, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'C3',(),[ 0, 0, 2 ]) computing springer map of[0,2,0] O: (simply connected root datum of Lie type 'B3',(),[ 2, 4, 2 ]) dim: 1 3 survive:final parameter(x=6,lambda=[4,6,2,-17]/2,nu=[0,-3,6,-3]/2) [ 0, 0, 2, -3 ]/2 survive:final parameter(x=6,lambda=[4,6,2,-19]/2,nu=[0,-3,6,-3]/2) [ 0, 0, 2, -3 ]/2 survive:final parameter(x=5,lambda=[4,6,2,-17]/2,nu=[0,-3,6,-3]/2) [ 0, 0, 2, -3 ]/2 survive:final parameter(x=13,lambda=[8,2,2,-15]/2,nu=[-7,4,6,-10]/2) [ 0, 0, 2, -3 ]/2 survive:final parameter(x=5,lambda=[4,6,2,-19]/2,nu=[0,-3,6,-3]/2) [ 0, 0, 2, -3 ]/2 survive:final parameter(x=13,lambda=[8,2,2,-13]/2,nu=[-7,4,6,-10]/2) [ 0, 0, 2, -3 ]/2 survive:final parameter(x=11,lambda=[6,4,2,-15]/2,nu=[-5,0,10,-10]/2) [ 0, 0, 2, -3 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=19,lambda=[4,4,-2,-9]/2,nu=[0,0,14,-21]/2) [ 0, 0, 2, -3 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=19,lambda=[4,4,-2,-7]/2,nu=[0,0,14,-21]/2) [ 0, 0, 2, -3 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[4,4,6,-21]/2) [ 0, 0, 2, -3 ]/2 cell character: 4 springer_O:4 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[4,4,6,-21]/2) [ 0, 0, 2, -3 ]/2 cell character: 4 springer_O:4 dim: 1 3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=19,lambda=[4,4,0,-9]/2,nu=[0,0,14,-21]/2) [ 0, 0, 2, -3 ]/2 dim: 1 3 dim: 1 3 survive:final parameter(x=19,lambda=[4,4,0,-7]/2,nu=[0,0,14,-21]/2) [ 0, 0, 2, -3 ]/2 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 2, 3, 2, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 0, 2, 0, -4 ] dim=14 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 2, 3, 2, -11 ]/1 gamma_final:[ 0, 1, 0, -2 ]/1 integral data: st_int rd_int:root datum of Lie type 'B3.T1' st_int.rd: simply connected root datum of Lie type 'B3' O_check_int:(adjoint root datum of Lie type 'C3',(),[ 0, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'C3',(),[ 0, 2, 0 ]) computing springer map of[1,0,1] O: (simply connected root datum of Lie type 'B3',(),[ 2, 3, 2 ]) dim: 1 3 survive:final parameter(x=12,lambda=[6,-2,10,-15]/2,nu=[-3,13,-10,-8]/2) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=23,lambda=[4,2,2,-9]/2,nu=[0,4,2,-11]/1) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[2,3,2,-11]/1) [ 0, 1, 0, -2 ]/1 cell character: 5 springer_O:5 dim: 1 3 dim: 1 3 survive:final parameter(x=1,lambda=[4,6,4,-21]/2,nu=[0,0,0,0]/1) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=9,lambda=[8,2,4,-13]/2,nu=[-4,4,0,-4]/1) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=9,lambda=[8,2,4,-15]/2,nu=[-4,4,0,-4]/1) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=4,lambda=[6,2,8,-21]/2,nu=[-3,6,-6,0]/2) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=12,lambda=[6,0,8,-13]/2,nu=[-3,13,-10,-8]/2) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=12,lambda=[6,0,8,-15]/2,nu=[-3,13,-10,-8]/2) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=20,lambda=[4,0,4,-9]/2,nu=[0,5,0,-10]/1) [ 0, 1, 0, -2 ]/1 cell character: 5 springer_O:5 survive:final parameter(x=21,lambda=[2,2,4,-9]/2,nu=[2,4,0,-10]/1) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=21,lambda=[2,2,4,-7]/2,nu=[2,4,0,-10]/1) [ 0, 1, 0, -2 ]/1 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=12,lambda=[6,-2,10,-17]/2,nu=[-3,13,-10,-8]/2) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=23,lambda=[4,2,2,-7]/2,nu=[0,4,2,-11]/1) [ 0, 1, 0, -2 ]/1 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[2,3,2,-11]/1) [ 0, 1, 0, -2 ]/1 cell character: 5 springer_O:5 dim: 1 3 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 2, 2, 1, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 2, 1, 0, -4 ] dim=14 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 6, 5, 4, -22 ]/2 gamma_final:[ 2, 1, 0, -4 ]/2 integral data: st_int rd_int:root datum of Lie type 'B2.A1.T1' st_int.rd: simply connected root datum of Lie type 'B2.A1' O_check_int:(adjoint root datum of Lie type 'C2.A1',(),[ 2, 2, 0 ]) computing packet for:(adjoint root datum of Lie type 'C2.A1',(),[ 2, 2, 0 ]) computing springer map of[0,0,2] O: (simply connected root datum of Lie type 'B2.A1',(),[ 0, 0, 1 ]) survive:final parameter(x=5,lambda=[6,6,2,-21]/2,nu=[0,-1,2,-1]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=6,lambda=[6,6,2,-21]/2,nu=[0,-1,2,-1]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=7,lambda=[2,8,2,-21]/2,nu=[6,-5,4,-2]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=23,lambda=[6,0,2,-9]/2,nu=[0,4,2,-11]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=13,lambda=[8,4,2,-17]/2,nu=[-7,5,4,-9]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=18,lambda=[0,6,2,-13]/2,nu=[13,-2,4,-15]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=24,lambda=[4,4,2,-7]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=13,lambda=[10,2,2,-15]/2,nu=[-7,5,4,-9]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=18,lambda=[-2,6,2,-11]/2,nu=[13,-2,4,-15]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=24,lambda=[4,2,2,-7]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 cell character: 1 springer_O:1 survive:final parameter(x=24,lambda=[2,4,2,-9]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 cell character: 1 springer_O:1 survive:final parameter(x=5,lambda=[6,6,2,-19]/2,nu=[0,-1,2,-1]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=6,lambda=[6,6,2,-19]/2,nu=[0,-1,2,-1]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=7,lambda=[2,8,2,-19]/2,nu=[6,-5,4,-2]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=23,lambda=[6,0,2,-7]/2,nu=[0,4,2,-11]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=13,lambda=[8,4,2,-15]/2,nu=[-7,5,4,-9]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=18,lambda=[0,6,2,-11]/2,nu=[13,-2,4,-15]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=24,lambda=[4,4,2,-9]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=13,lambda=[10,2,2,-17]/2,nu=[-7,5,4,-9]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=18,lambda=[-2,6,2,-13]/2,nu=[13,-2,4,-15]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=24,lambda=[4,2,2,-9]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 cell character: 1 springer_O:1 survive:final parameter(x=24,lambda=[2,4,2,-7]/2,nu=[6,5,4,-22]/2) [ 2, 1, 0, -4 ]/2 cell character: 1 springer_O:1 survive:final parameter(x=3,lambda=[4,6,4,-19]/2,nu=[6,-3,0,0]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=20,lambda=[6,0,4,-9]/2,nu=[0,5,0,-10]/1) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=21,lambda=[2,2,4,-7]/2,nu=[6,7,0,-20]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=21,lambda=[2,2,4,-9]/2,nu=[6,7,0,-20]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=21,lambda=[4,2,4,-9]/2,nu=[6,7,0,-20]/2) [ 2, 1, 0, -4 ]/2 survive:final parameter(x=21,lambda=[4,2,4,-7]/2,nu=[6,7,0,-20]/2) [ 2, 1, 0, -4 ]/2 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 2, 2, 1, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 2, 0, 2, -5 ] dim=16 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 6, 4, 6, -23 ]/2 gamma_final:[ 2, 0, 2, -5 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.T1' st_int.rd: simply connected root datum of Lie type 'B3' O_check_int:(adjoint root datum of Lie type 'C3',(),[ 2, 0, 2 ]) computing packet for:(adjoint root datum of Lie type 'C3',(),[ 2, 0, 2 ]) computing springer map of[2,0,0] O: (simply connected root datum of Lie type 'B3',(),[ 2, 2, 1 ]) dim: 1 3 survive:final parameter(x=3,lambda=[2,6,6,-23]/2,nu=[6,-3,0,0]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=6,lambda=[6,6,2,-19]/2,nu=[0,-3,6,-3]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=6,lambda=[6,6,2,-21]/2,nu=[0,-3,6,-3]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=5,lambda=[6,6,2,-19]/2,nu=[0,-3,6,-3]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=13,lambda=[10,2,2,-17]/2,nu=[-7,4,6,-10]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=14,lambda=[-2,4,6,-15]/2,nu=[13,0,0,-13]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=5,lambda=[6,6,2,-21]/2,nu=[0,-3,6,-3]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=13,lambda=[10,2,2,-15]/2,nu=[-7,4,6,-10]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=14,lambda=[-2,4,6,-13]/2,nu=[13,0,0,-13]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=2,lambda=[6,4,6,-23]/2,nu=[0,0,0,0]/1) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=11,lambda=[8,4,2,-17]/2,nu=[-5,0,10,-10]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=7,lambda=[2,8,2,-19]/2,nu=[6,-6,6,-3]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=19,lambda=[6,4,-2,-7]/2,nu=[1,-1,16,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=7,lambda=[2,8,2,-21]/2,nu=[6,-6,6,-3]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=19,lambda=[6,4,-2,-9]/2,nu=[1,-1,16,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=16,lambda=[2,8,-2,-13]/2,nu=[4,-4,8,-8]/1) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=18,lambda=[-2,6,2,-13]/2,nu=[13,-3,6,-16]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=24,lambda=[4,2,2,-9]/2,nu=[6,4,6,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=15,lambda=[-2,4,6,-15]/2,nu=[13,0,0,-13]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=22,lambda=[0,4,2,-7]/2,nu=[8,0,10,-23]/2) [ 2, 0, 2, -5 ]/2 cell character: 3 springer_O:3 survive:final parameter(x=18,lambda=[-2,6,2,-11]/2,nu=[13,-3,6,-16]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=24,lambda=[4,2,2,-7]/2,nu=[6,4,6,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=15,lambda=[-2,4,6,-13]/2,nu=[13,0,0,-13]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=22,lambda=[0,4,2,-9]/2,nu=[8,0,10,-23]/2) [ 2, 0, 2, -5 ]/2 cell character: 3 springer_O:3 survive:final parameter(x=18,lambda=[0,6,2,-13]/2,nu=[13,-3,6,-16]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[6,4,6,-23]/2) [ 2, 0, 2, -5 ]/2 cell character: 3 springer_O:3 survive:final parameter(x=18,lambda=[0,6,2,-11]/2,nu=[13,-3,6,-16]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[6,4,6,-23]/2) [ 2, 0, 2, -5 ]/2 cell character: 3 springer_O:3 dim: 1 3 dim: 1 3 dim: 1 3 survive:final parameter(x=17,lambda=[-2,6,4,-11]/2,nu=[11,4,-4,-13]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=19,lambda=[6,4,0,-9]/2,nu=[1,-1,16,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=24,lambda=[2,2,4,-9]/2,nu=[6,4,6,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=22,lambda=[0,4,4,-9]/2,nu=[8,0,10,-23]/2) [ 2, 0, 2, -5 ]/2 dim: 1 3 dim: 1 3 survive:final parameter(x=17,lambda=[-2,6,4,-9]/2,nu=[11,4,-4,-13]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=19,lambda=[6,4,0,-7]/2,nu=[1,-1,16,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=24,lambda=[2,2,4,-7]/2,nu=[6,4,6,-23]/2) [ 2, 0, 2, -5 ]/2 survive:final parameter(x=22,lambda=[0,4,4,-7]/2,nu=[8,0,10,-23]/2) [ 2, 0, 2, -5 ]/2 dim: 1 3 Orbit by diagram: (root datum of Lie type 'B3.T1',(),[ 0, 0, 0, 0 ]) Computing weak packet for orbit: root datum of Lie type 'C3.T1' [ 2, 2, 2, -9 ] dim=18 Computing weak packets for disconnected split real group with Lie algebra 'so(4,3).gl(1,R)' gamma:[ 6, 6, 6, -27 ]/2 gamma_final:[ 2, 2, 2, -9 ]/2 integral data: st_int rd_int:root datum of Lie type 'B3.T1' st_int.rd: simply connected root datum of Lie type 'B3' O_check_int:(adjoint root datum of Lie type 'C3',(),[ 2, 2, 2 ]) computing packet for:(adjoint root datum of Lie type 'C3',(),[ 2, 2, 2 ]) computing springer map of[0,0,0] O: (simply connected root datum of Lie type 'B3',(),[ 0, 0, 0 ]) survive:final parameter(x=0,lambda=[6,6,6,-27]/2,nu=[0,0,0,0]/1) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=1,lambda=[6,6,6,-27]/2,nu=[0,0,0,0]/1) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=3,lambda=[2,8,6,-27]/2,nu=[6,-3,0,0]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=6,lambda=[6,8,2,-23]/2,nu=[0,-3,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=6,lambda=[6,8,2,-25]/2,nu=[0,-3,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=5,lambda=[6,8,2,-23]/2,nu=[0,-3,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=9,lambda=[12,0,6,-19]/2,nu=[-9,9,0,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=13,lambda=[10,4,2,-17]/2,nu=[-9,6,6,-12]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=14,lambda=[-4,6,6,-15]/2,nu=[15,0,0,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=5,lambda=[6,8,2,-25]/2,nu=[0,-3,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=9,lambda=[12,0,6,-21]/2,nu=[-9,9,0,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=13,lambda=[10,4,2,-19]/2,nu=[-9,6,6,-12]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=14,lambda=[-4,6,6,-17]/2,nu=[15,0,0,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=2,lambda=[6,6,6,-27]/2,nu=[0,0,0,0]/1) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=4,lambda=[8,2,10,-27]/2,nu=[-3,6,-6,0]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=11,lambda=[10,6,-2,-19]/2,nu=[-3,0,6,-6]/1) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=7,lambda=[2,10,2,-23]/2,nu=[6,-6,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=12,lambda=[8,-4,14,-19]/2,nu=[-3,15,-12,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=19,lambda=[6,6,-6,-7]/2,nu=[0,0,18,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=7,lambda=[2,10,2,-25]/2,nu=[6,-6,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=12,lambda=[8,-4,14,-21]/2,nu=[-3,15,-12,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=19,lambda=[6,6,-6,-9]/2,nu=[0,0,18,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=8,lambda=[2,2,14,-27]/2,nu=[3,3,-6,0]/1) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=16,lambda=[0,12,-6,-15]/2,nu=[9,-9,18,-18]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=20,lambda=[6,-2,6,-11]/2,nu=[0,6,0,-12]/1) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=18,lambda=[-2,8,2,-13]/2,nu=[15,-3,6,-18]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=21,lambda=[4,0,6,-9]/2,nu=[6,9,0,-24]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,4,2,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=10,lambda=[12,0,6,-19]/2,nu=[-9,9,0,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=15,lambda=[-4,6,6,-15]/2,nu=[15,0,0,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=17,lambda=[-2,2,10,-15]/2,nu=[12,6,-6,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=22,lambda=[0,6,-2,-7]/2,nu=[9,0,12,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,2,2,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=18,lambda=[-2,8,2,-15]/2,nu=[15,-3,6,-18]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=21,lambda=[4,0,6,-11]/2,nu=[6,9,0,-24]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,4,2,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=10,lambda=[12,0,6,-21]/2,nu=[-9,9,0,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=15,lambda=[-4,6,6,-17]/2,nu=[15,0,0,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=17,lambda=[-2,2,10,-17]/2,nu=[12,6,-6,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=22,lambda=[0,6,-2,-9]/2,nu=[9,0,12,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,2,2,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=13,lambda=[12,2,2,-17]/2,nu=[-9,6,6,-12]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=18,lambda=[-4,8,2,-13]/2,nu=[15,-3,6,-18]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=21,lambda=[2,0,6,-9]/2,nu=[6,9,0,-24]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=23,lambda=[6,0,2,-9]/2,nu=[0,9,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,4,2,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=13,lambda=[12,2,2,-19]/2,nu=[-9,6,6,-12]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=18,lambda=[-4,8,2,-15]/2,nu=[15,-3,6,-18]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=21,lambda=[2,0,6,-11]/2,nu=[6,9,0,-24]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=23,lambda=[6,0,2,-7]/2,nu=[0,9,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,4,2,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,2,2,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=24,lambda=[2,2,2,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 cell character: 0 springer_O:0 survive:final parameter(x=7,lambda=[4,8,4,-23]/2,nu=[6,-6,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=12,lambda=[8,-2,12,-19]/2,nu=[-3,15,-12,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=17,lambda=[-2,4,8,-15]/2,nu=[12,6,-6,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=19,lambda=[6,6,-4,-9]/2,nu=[0,0,18,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=23,lambda=[6,0,4,-9]/2,nu=[0,9,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,4,4,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=22,lambda=[0,6,0,-9]/2,nu=[9,0,12,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,2,4,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,2,4,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,4,4,-9]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=7,lambda=[4,8,4,-21]/2,nu=[6,-6,6,-3]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=12,lambda=[8,-2,12,-17]/2,nu=[-3,15,-12,-9]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=17,lambda=[-2,4,8,-13]/2,nu=[12,6,-6,-15]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=19,lambda=[6,6,-4,-7]/2,nu=[0,0,18,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=23,lambda=[6,0,4,-7]/2,nu=[0,9,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,4,4,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=22,lambda=[0,6,0,-7]/2,nu=[9,0,12,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[2,2,4,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,2,4,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 survive:final parameter(x=24,lambda=[4,4,4,-7]/2,nu=[6,6,6,-27]/2) [ 2, 2, 2, -9 ]/2 =============================================================================== Orbits for the dual group: connected split real group with Lie algebra 'f4(R)' complex nilpotent orbits for inner class Complex reductive group of type F4, with involution defining inner class of type 'c', with 3 real forms and 3 dual real forms root datum of inner class: simply connected adjoint root datum of Lie type 'F4' i: orbit number H: semisimple element BC Levi: Bala-Carter Levi Cent_0: identity component of Cent(SL(2)) Z(Cent^0): order of center of derived group of id. comp. of Centralizer C_2: conjugacy classes in Cent(SL(2))_0 with square 1 A(O): orders of conj. classes in component group of centralizer of O #RF: number of real forms of O for all real forms (of integrality datum) in inner class #AP: number of Arthur parameters for O i diagram dim BC Levi Cent_0 Z C_2 A(O) #RF #AP 0 [0,0,0,0] 0 4T1 F4 1 3 [1] [1,1,1] 3 1 [0,0,0,1] 16 A1+3T1 C3 2 4 [1] [2,2,0] 4 2 [1,0,0,0] 22 A1+3T1 A3 4 3 [1,2] [3,2] 5 3 [0,0,1,0] 28 2A1+2T1 2A1 2 4 [1] [0,0,4] 4 4 [2,0,0,0] 30 A2+2T1 G2 1 2 [1] [0,1,1] 2 5 [0,0,0,2] 30 A2+2T1 A2 3 2 [1,2] [0,0,3] 3 6 [0,1,0,0] 34 A1+A2+T1 A1 2 2 [1] [0,2] 2 7 [1,0,0,2] 36 C2+2T1 2A1 4 4 [1,2] [2,2] 4 8 [1,0,1,0] 36 A1+A2+T1 A1 2 2 [1] [0,2,0] 2 9 [0,1,0,1] 38 C3+T1 A1 2 2 [1,2] [0,0,4] 4 10 [0,0,2,0] 40 F4 e 1 1 [1,2,2,3,4] [0,0,3] 3 11 [2,1,0,1] 42 C3+T1 A1 2 2 [1] [0,0,2] 2 12 [0,0,2,2] 42 B3+T1 A1 1 2 [1] [0,0,2] 2 13 [2,0,2,0] 44 F4 e 1 1 [1,2] [0,0,2] 2 14 [2,0,2,2] 46 F4 e 1 1 [1,2] [0,0,2] 2 15 [2,2,2,2] 48 F4 e 1 1 [1] [0,0,1] 1 Information about orbit centralizers: orbit#: 0 diagram: [0,0,0,0] isogeny information: Centralizer: F4 Center is trivial simply connected adjoint root datum of Lie type 'F4' ------------- orbit#: 1 diagram: [0,0,0,1] isogeny information: Centralizer: C3 Group is semisimple center=Z/2Z simply connected root datum of Lie type 'C3' ------------- orbit#: 2 diagram: [1,0,0,0] isogeny information: Centralizer: A3 Group is semisimple center=Z/4Z simply connected root datum of Lie type 'A3' ------------- orbit#: 3 diagram: [0,0,1,0] isogeny information: Centralizer: 2A1 Group is semisimple center=Z/2Z adjoint root datum of Lie type 'A1' simply connected root datum of Lie type 'A1' ------------- orbit#: 4 diagram: [2,0,0,0] isogeny information: Centralizer: G2 Center is trivial simply connected adjoint root datum of Lie type 'G2' ------------- orbit#: 5 diagram: [0,0,0,2] isogeny information: Centralizer: A2 Group is semisimple center=Z/3Z simply connected root datum of Lie type 'A2' ------------- orbit#: 6 diagram: [0,1,0,0] isogeny information: Centralizer: A1 Group is semisimple center=Z/2Z simply connected root datum of Lie type 'A1' ------------- orbit#: 7 diagram: [1,0,0,2] isogeny information: Centralizer: 2A1 Group is semisimple center=Z/2Z x Z/2Z simply connected root datum of Lie type 'A1' simply connected root datum of Lie type 'A1' ------------- orbit#: 8 diagram: [1,0,1,0] isogeny information: Centralizer: A1 Group is semisimple center=Z/2Z simply connected root datum of Lie type 'A1' ------------- orbit#: 9 diagram: [0,1,0,1] isogeny information: Centralizer: A1 Group is semisimple center=Z/2Z simply connected root datum of Lie type 'A1' ------------- orbit#: 10 diagram: [0,0,2,0] isogeny information: Centralizer: e Center is trivial ------------- orbit#: 11 diagram: [2,1,0,1] isogeny information: Centralizer: A1 Group is semisimple center=Z/2Z simply connected root datum of Lie type 'A1' ------------- orbit#: 12 diagram: [0,0,2,2] isogeny information: Centralizer: A1 Center is trivial adjoint root datum of Lie type 'A1' ------------- orbit#: 13 diagram: [2,0,2,0] isogeny information: Centralizer: e Center is trivial ------------- orbit#: 14 diagram: [2,0,2,2] isogeny information: Centralizer: e Center is trivial ------------- orbit#: 15 diagram: [2,2,2,2] isogeny information: Centralizer: e Center is trivial ------------- Arthur parameters listed by orbit: #parameters by orbit: [3,4,5,4,2,3,2,4,2,4,3,2,2,2,2,1] Total: 45 orbit #0 for G #orbits for (disconnected) Cent(O): 3 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 0, 0 ] [0,0,0,0] 0 1 simply connected root datum of Lie type 'B4' [ 0, 0, 0, 0 ] [0,0,0,0] 0 1 root datum of Lie type 'C3.A1' [ 0, 0, 0, 0 ] [0,0,0,0] 0 1 orbit #1 for G #orbits for (disconnected) Cent(O): 4 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 0, 1 ] [0,0,0,1] 16 1 simply connected root datum of Lie type 'B4' [ 0, 0, 0, 1 ] [0,1,0,0] 12 1 root datum of Lie type 'C3.A1' [ -1, 1, -1, 1 ] [0,0,0,2] 2 1 root datum of Lie type 'C3.A1' [ 0, 0, 1, -1 ] [0,1,0,0] 6 1 orbit #2 for G #orbits for (disconnected) Cent(O): 5 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 1, 0, 0, 0 ] [1,0,0,0] 22 1 simply connected root datum of Lie type 'B4' [ -1, 1, 0, 0 ] [0,0,0,2] 14 1 simply connected root datum of Lie type 'B4' [ 1, 0, 0, 0 ] [0,0,1,0] 16 1 root datum of Lie type 'C3.A1' [ -1, 1, 0, 0 ] [0,1,0,2] 8 1 root datum of Lie type 'C3.A1' [ 1, 0, 0, 0 ] [1,0,0,0] 10 1 orbit #3 for G #orbits for (disconnected) Cent(O): 4 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 1, 0 ] [0,0,1,0] 28 1 simply connected root datum of Lie type 'B4' [ 0, 0, 1, 0 ] [1,0,0,1] 20 1 root datum of Lie type 'C3.A1' [ 1, -1, 1, 1 ] [0,0,2,0] 12 1 root datum of Lie type 'C3.A1' [ 0, 1, -1, 1 ] [1,0,0,2] 12 1 orbit #4 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 2, 0, 0, 0 ] [2,0,0,0] 30 1 root datum of Lie type 'C3.A1' [ 2, 0, 0, 0 ] [2,0,0,0] 14 1 orbit #5 for G #orbits for (disconnected) Cent(O): 3 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 0, 2 ] [0,0,0,2] 30 1 simply connected root datum of Lie type 'B4' [ 0, 0, 0, 2 ] [0,2,0,0] 22 1 root datum of Lie type 'C3.A1' [ 0, 0, 0, 2 ] [0,0,2,2] 14 1 orbit #6 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 1, 0, 0 ] [0,1,0,0] 34 1 simply connected root datum of Lie type 'B4' [ 1, -1, 2, 0 ] [2,0,0,0] 24 1 orbit #7 for G #orbits for (disconnected) Cent(O): 4 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 1, 0, 0, 2 ] [1,0,0,2] 36 1 simply connected root datum of Lie type 'B4' [ -1, 1, 0, 2 ] [0,2,0,2] 24 1 simply connected root datum of Lie type 'B4' [ 1, 0, 0, 2 ] [0,2,1,0] 26 1 root datum of Lie type 'C3.A1' [ 1, 0, 2, -2 ] [1,2,0,0] 14 1 orbit #8 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 1, 0, 1, 0 ] [1,0,1,0] 36 1 root datum of Lie type 'C3.A1' [ 1, 1, -1, 1 ] [2,0,0,2] 16 1 orbit #9 for G #orbits for (disconnected) Cent(O): 4 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 1, 0, 1 ] [0,1,0,1] 38 1 simply connected root datum of Lie type 'B4' [ 0, 1, 0, 1 ] [0,1,1,2] 26 1 root datum of Lie type 'C3.A1' [ 1, -1, 3, -1 ] [0,2,2,0] 16 1 root datum of Lie type 'C3.A1' [ 0, 1, 1, -1 ] [1,2,0,2] 16 1 orbit #10 for G #orbits for (disconnected) Cent(O): 3 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 2, 0 ] [0,0,2,0] 40 1 simply connected root datum of Lie type 'B4' [ 0, 0, 2, 0 ] [2,0,0,2] 28 1 root datum of Lie type 'C3.A1' [ 0, 0, 2, 0 ] [0,2,2,2] 18 1 orbit #11 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 2, 1, 0, 1 ] [2,1,0,1] 42 1 root datum of Lie type 'C3.A1' [ 3, -1, 3, -1 ] [2,2,2,0] 18 1 orbit #12 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 0, 0, 2, 2 ] [0,0,2,2] 42 1 simply connected root datum of Lie type 'B4' [ 0, 0, 2, 2 ] [2,2,0,2] 30 1 orbit #13 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 2, 0, 2, 0 ] [2,0,2,0] 44 1 root datum of Lie type 'C3.A1' [ 2, 0, 2, 0 ] [2,2,2,2] 20 1 orbit #14 for G #orbits for (disconnected) Cent(O): 2 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 2, 0, 2, 2 ] [2,0,2,2] 46 1 simply connected root datum of Lie type 'B4' [ 2, 0, 2, 2 ] [2,2,2,2] 32 1 orbit #15 for G #orbits for (disconnected) Cent(O): 1 K_0 H diagram dim mult simply connected adjoint root datum of Lie type 'F4' [ 2, 2, 2, 2 ] [2,2,2,2] 48 1 orbit |packet| 0 3 1 4 2 10 3 5 4 2 5 4 6 2 7 7 8 2 9 8 10 14 11 2 12 4 13 3 14 4 15 1 Total 75 *: dual(cell) contains an Aq(lambda) orbit# block# cell# parameters 0 0 0* 1 0 1 0* 1 0 2 0* 1 1 0 1 1 1 0 2 1 1 1 2 1 1 1 3 1 2 0 1 2 2 0 2 2 2 0 3 2 2 1 1 2 2 1 2 2 3 0 3 1 3 0 5 1 3 0 6 1 3 0 8 1 3 0 10 1 4 0 2* 1 4 2 5* 1 5 0 7* 1 5 0 8* 1 5 0 11 1 5 0 12* 1 6 0 8 1 6 0 9 1 7 0 5 2 7 0 6 2 7 1 7 2 7 1 11 1 8 0 7 1 8 0 8 1 9 0 7 2 9 0 10 2 9 0 12 2 9 0 13 2 10 0 9* 4 10 0 10* 5 10 0 13* 5 11 0 14 1 11 0 15 1 12 0 14 1 12 0 15 1 12 0 16* 1 12 0 22* 1 13 0 17 1 13 0 19* 1 13 0 20* 1 14 0 21* 2 14 0 23* 2 15 0 24* 1 Total 75 orbit# block# cell# parameters inf. char. 0 0 0* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,0,0,0]/1)*(I) [ 0, 0, 0, 0 ]/1 0 1 0* final parameter(x=110,lambda=[-3,1,1,1]/1,nu=[0,0,0,0]/1)*(I) [ 0, 0, 0, 0 ]/1 0 2 0* final parameter(x=0,lambda=[0,0,0,0]/1,nu=[0,0,0,0]/1)*(I) [ 0, 0, 0, 0 ]/1 1 0 1 final parameter(x=228,lambda=[1,1,1,2]/1,nu=[0,0,0,1]/2)(I) [ 0, 0, 0, 1 ]/2 1 0 2 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,0,0,1]/2)(I) [ 0, 0, 0, 1 ]/2 1 1 2 final parameter(x=195,lambda=[1,-1,1,6]/1,nu=[0,0,0,1]/2)(I) [ 0, 0, 0, 1 ]/2 1 1 3 final parameter(x=195,lambda=[1,-1,1,5]/1,nu=[0,0,0,1]/2)(I) [ 0, 0, 0, 1 ]/2 2 0 1 final parameter(x=45,lambda=[-1,1,1,-2]/1,nu=[0,0,0,0]/1)(I) [ 1, 0, 0, 0 ]/2 2 0 1 final parameter(x=190,lambda=[4,3,-3,0]/1,nu=[1,0,0,0]/2)(I) [ 1, 0, 0, 0 ]/2 2 0 2 final parameter(x=111,lambda=[1,1,1,-4]/1,nu=[1,0,0,-1]/2)(I) [ 1, 0, 0, 0 ]/2 2 0 2 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,0,0,0]/2)(I) [ 1, 0, 0, 0 ]/2 2 0 3 final parameter(x=111,lambda=[2,1,1,-5]/1,nu=[1,0,0,-1]/2)(I) [ 1, 0, 0, 0 ]/2 2 0 3 final parameter(x=228,lambda=[2,1,1,1]/1,nu=[1,0,0,0]/2)(I) [ 1, 0, 0, 0 ]/2 2 1 1 final parameter(x=19,lambda=[0,1,-1,0]/1,nu=[0,0,0,0]/1)(I) [ 1, 0, 0, 0 ]/2 2 1 1 final parameter(x=210,lambda=[2,3,1,-4]/1,nu=[1,0,0,0]/2)(I) [ 1, 0, 0, 0 ]/2 2 1 2 final parameter(x=72,lambda=[2,1,-1,-2]/1,nu=[1,0,0,-1]/2)(I) [ 1, 0, 0, 0 ]/2 2 1 2 final parameter(x=171,lambda=[4,0,0,0]/1,nu=[1,0,0,0]/2)(I) [ 1, 0, 0, 0 ]/2 3 0 3 final parameter(x=134,lambda=[0,-3,5,3]/1,nu=[0,-1,2,0]/2)(I) [ 0, 0, 1, 0 ]/2 3 0 5 final parameter(x=217,lambda=[0,0,3,1]/1,nu=[0,0,1,0]/2)(I) [ 0, 0, 1, 0 ]/2 3 0 6 final parameter(x=217,lambda=[0,0,4,1]/1,nu=[0,0,1,0]/2)(I) [ 0, 0, 1, 0 ]/2 3 0 8 final parameter(x=228,lambda=[1,1,2,1]/1,nu=[0,0,1,0]/2)(I) [ 0, 0, 1, 0 ]/2 3 0 10 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,0,1,0]/2)(I) [ 0, 0, 1, 0 ]/2 4 0 2* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,0,0,0]/1)*(I) [ 1, 0, 0, 0 ]/1 4 2 5* final parameter(x=171,lambda=[4,0,0,0]/1,nu=[1,0,0,0]/1)*(I) [ 1, 0, 0, 0 ]/1 5 0 7* final parameter(x=168,lambda=[0,0,0,6]/1,nu=[0,0,0,1]/1)*(I) [ 0, 0, 0, 1 ]/1 5 0 8* final parameter(x=195,lambda=[1,-1,1,6]/1,nu=[0,0,0,1]/1)*(I) [ 0, 0, 0, 1 ]/1 5 0 11 final parameter(x=66,lambda=[-4,3,-3,6]/1,nu=[-1,0,0,2]/2)(I) [ 0, 0, 0, 1 ]/1 5 0 12* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,0,0,1]/1)*(I) [ 0, 0, 0, 1 ]/1 6 0 8 final parameter(x=228,lambda=[1,2,1,1]/1,nu=[0,1,0,0]/2)(I) [ 0, 1, 0, 0 ]/2 6 0 9 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,1,0,0]/2)(I) [ 0, 1, 0, 0 ]/2 7 0 5 final parameter(x=196,lambda=[4,1,-1,1]/1,nu=[2,0,-1,2]/2)(I) [ 1, 0, 0, 2 ]/2 7 0 5 final parameter(x=228,lambda=[2,1,1,1]/1,nu=[1,0,0,2]/2)(I) [ 1, 0, 0, 2 ]/2 7 0 6 final parameter(x=196,lambda=[3,1,-1,1]/1,nu=[2,0,-1,2]/2)(I) [ 1, 0, 0, 2 ]/2 7 0 6 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,0,0,2]/2)(I) [ 1, 0, 0, 2 ]/2 7 1 7 final parameter(x=173,lambda=[4,0,0,1]/1,nu=[1,0,0,0]/1)(I) [ 1, 0, 0, 2 ]/2 7 1 7 final parameter(x=219,lambda=[2,1,-1,4]/1,nu=[1,0,0,2]/2)(I) [ 1, 0, 0, 2 ]/2 7 1 11 final parameter(x=219,lambda=[2,1,-1,3]/1,nu=[1,0,0,2]/2)(I) [ 1, 0, 0, 2 ]/2 8 0 7 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,0,1,0]/2)(I) [ 1, 0, 1, 0 ]/2 8 0 8 final parameter(x=228,lambda=[2,1,2,1]/1,nu=[1,0,1,0]/2)(I) [ 1, 0, 1, 0 ]/2 9 0 7 final parameter(x=178,lambda=[0,0,1,4]/1,nu=[0,0,0,3]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 7 final parameter(x=224,lambda=[0,2,1,2]/1,nu=[0,1,0,1]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 10 final parameter(x=178,lambda=[0,0,1,5]/1,nu=[0,0,0,3]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 10 final parameter(x=224,lambda=[0,2,1,1]/1,nu=[0,1,0,1]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 12 final parameter(x=207,lambda=[-1,1,1,4]/1,nu=[-1,1,0,2]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 12 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,1,0,1]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 13 final parameter(x=207,lambda=[-2,2,1,4]/1,nu=[-1,1,0,2]/2)(I) [ 0, 1, 0, 1 ]/2 9 0 13 final parameter(x=228,lambda=[1,2,1,2]/1,nu=[0,1,0,1]/2)(I) [ 0, 1, 0, 1 ]/2 10 0 9* final parameter(x=90,lambda=[-1,-2,8,-4]/1,nu=[-1,-1,4,-2]/2) [ 0, 0, 1, 0 ]/1 10 0 9* final parameter(x=135,lambda=[-1,-1,5,-1]/1,nu=[-1,-1,4,-1]/2) [ 0, 0, 1, 0 ]/1 10 0 9* final parameter(x=179,lambda=[-2,0,6,-1]/1,nu=[-1,0,3,-1]/2) [ 0, 0, 1, 0 ]/1 10 0 9* final parameter(x=211,lambda=[0,0,4,0]/1,nu=[0,0,1,0]/1)* [ 0, 0, 1, 0 ]/1 10 0 10* final parameter(x=33,lambda=[-1,0,3,-2]/1,nu=[-1,0,2,-2]/2) [ 0, 0, 1, 0 ]/1 10 0 10* final parameter(x=126,lambda=[0,-2,5,0]/1,nu=[0,-1,2,0]/1) [ 0, 0, 1, 0 ]/1 10 0 10* final parameter(x=156,lambda=[0,-1,7,-4]/1,nu=[0,-1,4,-2]/2) [ 0, 0, 1, 0 ]/1 10 0 10* final parameter(x=193,lambda=[-2,1,6,-3]/1,nu=[-1,0,3,-1]/2) [ 0, 0, 1, 0 ]/1 10 0 10* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,0,1,0]/1)* [ 0, 0, 1, 0 ]/1 10 0 13* final parameter(x=75,lambda=[-2,0,3,0]/1,nu=[-1,0,1,0]/1) [ 0, 0, 1, 0 ]/1 10 0 13* final parameter(x=156,lambda=[0,-1,8,-5]/1,nu=[0,-1,4,-2]/2) [ 0, 0, 1, 0 ]/1 10 0 13* final parameter(x=157,lambda=[0,-1,7,-4]/1,nu=[0,-1,4,-2]/2) [ 0, 0, 1, 0 ]/1 10 0 13* final parameter(x=157,lambda=[0,-1,8,-5]/1,nu=[0,-1,4,-2]/2) [ 0, 0, 1, 0 ]/1 10 0 13* final parameter(x=217,lambda=[0,0,3,1]/1,nu=[0,0,1,0]/1)* [ 0, 0, 1, 0 ]/1 11 0 14 final parameter(x=228,lambda=[1,2,1,2]/1,nu=[2,1,0,1]/2)(I) [ 2, 1, 0, 1 ]/2 11 0 15 final parameter(x=228,lambda=[1,1,1,1]/1,nu=[2,1,0,1]/2)(I) [ 2, 1, 0, 1 ]/2 12 0 14 final parameter(x=128,lambda=[0,-2,5,1]/1,nu=[0,-3,6,0]/2)(I) [ 0, 0, 1, 1 ]/1 12 0 15 final parameter(x=197,lambda=[-1,0,3,3]/1,nu=[-1,0,2,3]/2)(I) [ 0, 0, 1, 1 ]/1 12 0 16* final parameter(x=217,lambda=[0,0,3,1]/1,nu=[0,0,1,1]/1)*(I) [ 0, 0, 1, 1 ]/1 12 0 22* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[0,0,1,1]/1)*(I) [ 0, 0, 1, 1 ]/1 13 0 17 final parameter(x=204,lambda=[3,0,3,-2]/1,nu=[3,0,2,-2]/2) [ 1, 0, 1, 0 ]/1 13 0 19* final parameter(x=223,lambda=[1,0,4,0]/1,nu=[1,0,1,0]/1)* [ 1, 0, 1, 0 ]/1 13 0 20* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,0,1,0]/1)* [ 1, 0, 1, 0 ]/1 14 0 21* final parameter(x=215,lambda=[2,0,1,3]/1,nu=[3,0,0,4]/2) [ 1, 0, 1, 1 ]/1 14 0 21* final parameter(x=225,lambda=[1,0,3,1]/1,nu=[1,0,1,1]/1)* [ 1, 0, 1, 1 ]/1 14 0 23* final parameter(x=218,lambda=[3,0,1,2]/1,nu=[3,-1,2,3]/2) [ 1, 0, 1, 1 ]/1 14 0 23* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,0,1,1]/1)* [ 1, 0, 1, 1 ]/1 15 0 24* final parameter(x=228,lambda=[1,1,1,1]/1,nu=[1,1,1,1]/1)* [ 1, 1, 1, 1 ]/1 Total 75 Induced 53 Testing conjecture about size of weak Arthur packets for connected split real group with Lie algebra 'f4(R)' i: number of orbit (with A(O)=1) data: combinatorial data derived from the orbit guess: conjectural size of weak Arthur packet actual: size of weak Arthur packet A: A(O), if it isn't 1 the conjecture doesn't apply disjoint: Arthur packets are disjoint, if false the conjecture doesn't apply conjecture: validity for given orbit Orbits for G with A(O)=1: i H diagram dim BC Levi Cent Z C_2 A(O) 0 [0,0,0,0] [0,0,0,0] 0 4T1 F4 1 3 [1] 1 [0,0,0,1] [0,0,0,1] 16 A1+3T1 C3 2 4 [1] 2 [0,0,1,0] [0,0,1,0] 28 2A1+2T1 2A1 2 4 [1] 3 [2,0,0,0] [2,0,0,0] 30 A2+2T1 G2 1 2 [1] 4 [0,1,0,0] [0,1,0,0] 34 A1+A2+T1 A1 2 2 [1] 5 [1,0,1,0] [1,0,1,0] 36 A1+A2+T1 A1 2 2 [1] 6 [2,1,0,1] [2,1,0,1] 42 C3+T1 A1 2 2 [1] 7 [0,0,2,2] [0,0,2,2] 42 B3+T1 A1 1 2 [1] 8 [2,2,2,2] [2,2,2,2] 48 F4 e 1 1 [1] i data guess actual A disjoint conjecture 0 [1,1,1] 3 3 1 true true 1 [1,1,1,1] 4 4 1 false N/A 2 [2,1,2,1] 6 5 1 false N/A 3 [1,1] 2 2 1 true true 4 [1,1] 2 2 1 false N/A 5 [1,1] 2 2 1 false N/A 6 [1,1] 2 2 1 false N/A 7 [2,1] 3 4 1 false N/A 8 [1] 1 1 1 true true ------------------------------------------------------------- set parameters=[ parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 0, 0, 0 ]/1), parameter(G,110,[ -3, 1, 1, 1 ]/1,[ 0, 0, 0, 0 ]/1), parameter(G,0,[ 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0 ]/1), parameter(G,228,[ 1, 1, 1, 2 ]/1,[ 0, 0, 0, 1 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 0, 0, 1 ]/2), parameter(G,195,[ 1, -1, 1, 6 ]/1,[ 0, 0, 0, 1 ]/2), parameter(G,195,[ 1, -1, 1, 5 ]/1,[ 0, 0, 0, 1 ]/2), parameter(G,45,[ -1, 1, 1, -2 ]/1,[ 0, 0, 0, 0 ]/1), parameter(G,190,[ 4, 3, -3, 0 ]/1,[ 1, 0, 0, 0 ]/2), parameter(G,111,[ 1, 1, 1, -4 ]/1,[ 1, 0, 0, -1 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 0, 0, 0 ]/2), parameter(G,111,[ 2, 1, 1, -5 ]/1,[ 1, 0, 0, -1 ]/2), parameter(G,228,[ 2, 1, 1, 1 ]/1,[ 1, 0, 0, 0 ]/2), parameter(G,19,[ 0, 1, -1, 0 ]/1,[ 0, 0, 0, 0 ]/1), parameter(G,210,[ 2, 3, 1, -4 ]/1,[ 1, 0, 0, 0 ]/2), parameter(G,72,[ 2, 1, -1, -2 ]/1,[ 1, 0, 0, -1 ]/2), parameter(G,171,[ 4, 0, 0, 0 ]/1,[ 1, 0, 0, 0 ]/2), parameter(G,134,[ 0, -3, 5, 3 ]/1,[ 0, -1, 2, 0 ]/2), parameter(G,217,[ 0, 0, 3, 1 ]/1,[ 0, 0, 1, 0 ]/2), parameter(G,217,[ 0, 0, 4, 1 ]/1,[ 0, 0, 1, 0 ]/2), parameter(G,228,[ 1, 1, 2, 1 ]/1,[ 0, 0, 1, 0 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 0, 1, 0 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 0, 0, 0 ]/1), parameter(G,171,[ 4, 0, 0, 0 ]/1,[ 1, 0, 0, 0 ]/1), parameter(G,168,[ 0, 0, 0, 6 ]/1,[ 0, 0, 0, 1 ]/1), parameter(G,195,[ 1, -1, 1, 6 ]/1,[ 0, 0, 0, 1 ]/1), parameter(G,66,[ -4, 3, -3, 6 ]/1,[ -1, 0, 0, 2 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 0, 0, 1 ]/1), parameter(G,228,[ 1, 2, 1, 1 ]/1,[ 0, 1, 0, 0 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 1, 0, 0 ]/2), parameter(G,196,[ 4, 1, -1, 1 ]/1,[ 2, 0, -1, 2 ]/2), parameter(G,228,[ 2, 1, 1, 1 ]/1,[ 1, 0, 0, 2 ]/2), parameter(G,196,[ 3, 1, -1, 1 ]/1,[ 2, 0, -1, 2 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 0, 0, 2 ]/2), parameter(G,173,[ 4, 0, 0, 1 ]/1,[ 1, 0, 0, 0 ]/1), parameter(G,219,[ 2, 1, -1, 4 ]/1,[ 1, 0, 0, 2 ]/2), parameter(G,219,[ 2, 1, -1, 3 ]/1,[ 1, 0, 0, 2 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 0, 1, 0 ]/2), parameter(G,228,[ 2, 1, 2, 1 ]/1,[ 1, 0, 1, 0 ]/2), parameter(G,178,[ 0, 0, 1, 4 ]/1,[ 0, 0, 0, 3 ]/2), parameter(G,224,[ 0, 2, 1, 2 ]/1,[ 0, 1, 0, 1 ]/2), parameter(G,178,[ 0, 0, 1, 5 ]/1,[ 0, 0, 0, 3 ]/2), parameter(G,224,[ 0, 2, 1, 1 ]/1,[ 0, 1, 0, 1 ]/2), parameter(G,207,[ -1, 1, 1, 4 ]/1,[ -1, 1, 0, 2 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 1, 0, 1 ]/2), parameter(G,207,[ -2, 2, 1, 4 ]/1,[ -1, 1, 0, 2 ]/2), parameter(G,228,[ 1, 2, 1, 2 ]/1,[ 0, 1, 0, 1 ]/2), parameter(G,90,[ -1, -2, 8, -4 ]/1,[ -1, -1, 4, -2 ]/2), parameter(G,135,[ -1, -1, 5, -1 ]/1,[ -1, -1, 4, -1 ]/2), parameter(G,179,[ -2, 0, 6, -1 ]/1,[ -1, 0, 3, -1 ]/2), parameter(G,211,[ 0, 0, 4, 0 ]/1,[ 0, 0, 1, 0 ]/1), parameter(G,33,[ -1, 0, 3, -2 ]/1,[ -1, 0, 2, -2 ]/2), parameter(G,126,[ 0, -2, 5, 0 ]/1,[ 0, -1, 2, 0 ]/1), parameter(G,156,[ 0, -1, 7, -4 ]/1,[ 0, -1, 4, -2 ]/2), parameter(G,193,[ -2, 1, 6, -3 ]/1,[ -1, 0, 3, -1 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 0, 1, 0 ]/1), parameter(G,75,[ -2, 0, 3, 0 ]/1,[ -1, 0, 1, 0 ]/1), parameter(G,156,[ 0, -1, 8, -5 ]/1,[ 0, -1, 4, -2 ]/2), parameter(G,157,[ 0, -1, 7, -4 ]/1,[ 0, -1, 4, -2 ]/2), parameter(G,157,[ 0, -1, 8, -5 ]/1,[ 0, -1, 4, -2 ]/2), parameter(G,217,[ 0, 0, 3, 1 ]/1,[ 0, 0, 1, 0 ]/1), parameter(G,228,[ 1, 2, 1, 2 ]/1,[ 2, 1, 0, 1 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 2, 1, 0, 1 ]/2), parameter(G,128,[ 0, -2, 5, 1 ]/1,[ 0, -3, 6, 0 ]/2), parameter(G,197,[ -1, 0, 3, 3 ]/1,[ -1, 0, 2, 3 ]/2), parameter(G,217,[ 0, 0, 3, 1 ]/1,[ 0, 0, 1, 1 ]/1), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 0, 0, 1, 1 ]/1), parameter(G,204,[ 3, 0, 3, -2 ]/1,[ 3, 0, 2, -2 ]/2), parameter(G,223,[ 1, 0, 4, 0 ]/1,[ 1, 0, 1, 0 ]/1), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 0, 1, 0 ]/1), parameter(G,215,[ 2, 0, 1, 3 ]/1,[ 3, 0, 0, 4 ]/2), parameter(G,225,[ 1, 0, 3, 1 ]/1,[ 1, 0, 1, 1 ]/1), parameter(G,218,[ 3, 0, 1, 2 ]/1,[ 3, -1, 2, 3 ]/2), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 0, 1, 1 ]/1), parameter(G,228,[ 1, 1, 1, 1 ]/1,[ 1, 1, 1, 1 ]/1) ]