Unipotent characters for E8 gamma | Deg(gamma) FakeDegree Fr(gamma) Label __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{1,0} | 1 1 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{1,120} | q^120 q^120 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{35,2} | q^2P5P7P10P14P15P20P30 q^2P5P7P10P14P15P20P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{35,74} | q^74P5P7P10P14P15P20P30 q^74P5P7P10P14P15P20P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{525,12} | q^12P5^2P7P9P10^2P14P15P18P20P24P30 q^12P5^2P7P9P10^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{525,36} | q^36P5^2P7P9P10^2P14P15P18P20P24P30 q^36P5^2P7P9P10^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{567,6} | q^6P3^3P6^3P7P9P12^2P14P15P18P24P30 q^6P3^3P6^3P7P9P12^2P14P15P18P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{567,46} | q^46P3^3P6^3P7P9P12^2P14P15P18P24P30 q^46P3^3P6^3P7P9P12^2P14P15P18P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2100,20} | q^20P5^2P7P8^2P9P10^2P14P15P18P20P24P30 q^20P5^2P7P8^2P9P10^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2835,14} | q^14P3^3P5P6^3P7P9P10P12^2P14P15P18P20P24P30 q^14P3^3P5P6^3P7P9P10P12^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2835,22} | q^22P3^3P5P6^3P7P9P10P12^2P14P15P18P20P24P30 q^22P3^3P5P6^3P7P9P10P12^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{6075,14} | q^14P3^4P5^2P6^4P9P10^2P12^2P15P18P20P24P30 q^14P3^4P5^2P6^4P9P10^2P12^2P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{6075,22} | q^22P3^4P5^2P6^4P9P10^2P12^2P15P18P20P24P30 q^22P3^4P5^2P6^4P9P10^2P12^2P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{8,1} | qP4^2P8P12P20P24 qP4^2P8P12P20P24 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{8,91} | q^91P4^2P8P12P20P24 q^91P4^2P8P12P20P24 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{560,5} | q^5P4^2P5P7P8^2P10P12P14P15P20P24P30 q^5P4^2P5P7P8^2P10P12P14P15P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{560,47} | q^47P4^2P5P7P8^2P10P12P14P15P20P24P30 q^47P4^2P5P7P8^2P10P12P14P15P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{3240,9} | q^9P3^3P4^2P5P6^3P8P9P10P12^2P15P18P20P24P30 q^9P3^3P4^2P5P6^3P8P9P10P12^2P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{3240,31} | q^31P3^3P4^2P5P6^3P8P9P10P12^2P15P18P20P24P30 q^31P3^3P4^2P5P6^3P8P9P10P12^2P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4200,15} | q^15P4^2P5^2P7P8P9P10^2P12P14P15P18P20P24P30 q^15P4^2P5^2P7P8P9P10^2P12P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4200,21} | q^21P4^2P5^2P7P8P9P10^2P12P14P15P18P20P24P30 q^21P4^2P5^2P7P8P9P10^2P12P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4536,13} | q^13P3^3P4^2P6^3P7P8P9P12^2P14P15P18P20P24P30 q^13P3^3P4^2P6^3P7P8P9P12^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4536,23} | q^23P3^3P4^2P6^3P7P8P9P12^2P14P15P18P20P24P30 q^23P3^3P4^2P6^3P7P8P9P12^2P14P15P18P20P24P30 1 __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{112,3} | 1/2q^3P2^4P6^2P7P8P10^2P14P18P24P30 q^3P4^3P7P8P12P14P20P24P28 1 (1,1) phi{84,4} | 1/2q^3P4^2P7P8P9P12P14P20P24P30 q^4P7P8P9P14P18P24P32 1 (g2,1) phi{28,8} | 1/2q^3P4^2P7P8P12P14P15P18P20P24 q^8P7P8^2P14P15P24P30 1 (1,eps) D4:phi{1,0} | 1/2q^3P1^4P3^2P5^2P7P8P9P14P15P24 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{210,4} | 1/2q^4P5P7P8^2P9P10^2P15P20P24P30 q^4P5P7P9P10P14P15P16P18P20P30 1 (1,1) phi{50,8} | 1/2q^4P5^2P8^2P10P14P15P18P20P24P30 q^8P5^2P10^2P15P20P30P32 1 (g2,1) phi{160,7} | 1/2q^4P2^4P4^2P5P6^2P10^2P12P14P15P18P20P30 q^7P4^3P5P8^2P10P12P15P20P24P30 1 (1,eps) D4:phi{2,4}' | 1/2q^4P1^4P3^2P4^2P5^2P7P9P10P12P15P20P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{700,6} | 1/2q^6P4^2P5^2P7P8P10^2P12P15P18P20P24P30 q^6P5^2P7P8P10^2P14P15P16P20P24P30 1 (1,1) phi{400,7} | 1/2q^6P2^4P5^2P6^2P8P10^2P14P15P18P20P24P30 q^7P4^3P5^2P8P10^2P12P15P20^2P24P30 1 (g2,1) phi{300,8} | 1/2q^6P4^2P5^2P8P9P10^2P12P14P15P20P24P30 q^8P5^2P8^2P9P10^2P15P18P20P24P30 1 (1,eps) D4:phi{1,12}' | 1/2q^6P1^4P3^2P5^2P7P8P9P10^2P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2268,10} | 1/2q^10P3^3P4^2P6^4P7P8P9P12^2P15P18P20P24P30 q^10P3^3P6^3P7P8P9P12^2P14P15P16P18P24P30 1 (1,1) phi{972,12} | 1/2q^10P3^4P4^2P6^3P8P9P12^2P14P15P18P20P24P30 q^12P3^4P6^4P8^2P9P12^2P15P18P24^2P30 1 (g2,1) phi{1296,13} | 1/2q^10P2^4P3^3P6^4P8P9P10^2P12^2P14P15P18P24P30 q^13P3^3P4^3P6^3P8P9P12^2P15P18P20P24P30 1 (1,eps) D4:phi{9,2} | 1/2q^10P1^4P3^4P5^2P6^3P7P8P9P12^2P15P18P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2240,10} | 1/2q^10P2^4P4^2P5P6^2P7P8P10^2P12P14P15P18P20P24P30 q^10P4^3P5P7P8^2P10P12^2P14P15P16P20P24P30 1 (1,1) phi{1400,11} | 1/2q^10P4^2P5^2P7P8^2P10P12^2P14P15P18P20P24P30 q^11P4^2P5^2P7P8P10^2P12P14P15P20^2P24P30 1 (g2,1) phi{840,13} | 1/2q^10P4^2P5P7P8^2P9P10^2P12^2P14P15P20P24P30 q^13P4^2P5P7P8P9P10P12P14P15P18P20P24P30 1 (1,eps) D4:phi{4,7}' | 1/2q^10P1^4P3^2P4^2P5^2P7P8P9P10P12P14P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4200,12} | 1/2q^12P4^2P5^2P7P8^2P9P10P12P14P15P18P20P24P30 q^12P5^2P7P8^3P9P10^2P14P15P18P20P24P30 1 (1,1) phi{840,14} | 1/2q^12P4^2P5P7P8^2P9P10^2P12P14P15P18P20P24P30 q^14P5P7P8^2P9P10P14P15P16P18P20P24P30 1 (g2,1) phi{3360,13} | 1/2q^12P2^4P5P6^2P7P8^2P9P10^2P14P15P18P20P24P30 q^13P4^3P5P7P8^2P9P10P12P14P15P18P20P24P30 1 (1,eps) D4:phi{2,4}'' | 1/2q^12P1^4P3^2P5^2P7P8^2P9P10P14P15P18P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2800,13} | 1/2q^13P2^4P5^2P6^4P7P8P10^2P14P15P18P20P24P30 q^13P4^3P5^2P7P8P10^2P12^3P14P15P20P24P30 1 (1,1) phi{700,16} | 1/2q^13P4^2P5^2P7P8P10^2P12^2P14P15P18P20P24P30 q^16P5^2P7P8^2P10^2P14P15P20P24^2P30 1 (g2,1) phi{2100,16} | 1/2q^13P4^2P5^2P7P8P9P10^2P12^2P14P15P20P24P30 2q^16P5^2P7P8P9P10^2P14P15P18P20P24P30 1 (1,eps) D4:phi{9,6}' | 1/2q^13P1^4P3^4P5^2P7P8P9P10^2P14P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{5600,15} | 1/2q^15P4^4P5^2P7P8^2P10^2P12^2P15P18P20P24P30 q^15P4^2P5^2P7P8^2P10^2P12P14P15P16P20P24P30 1 (1,1) phi{3200,16} | 1/2q^15P2^4P4^2P5^2P6^2P8^2P10^2P12P14P15P18P20P24P30 q^16P4^5P5^2P8^2P10^2P12^2P15P20^2P24P30 1 (g2,1) phi{2400,17} | 1/2q^15P4^4P5^2P8^2P9P10^2P12^2P14P15P20P24P30 q^17P4^2P5^2P8^3P9P10^2P12P15P18P20P24P30 1 (1,eps) D4:phi{8,3}'' | 1/2q^15P1^4P3^2P4^2P5^2P7P8^2P9P10^2P12P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{5600,21} | 1/2q^21P4^4P5^2P7P8^2P10^2P12^2P15P18P20P24P30 q^21P4^2P5^2P7P8^2P10^2P12P14P15P16P20P24P30 1 (1,1) phi{3200,22} | 1/2q^21P2^4P4^2P5^2P6^2P8^2P10^2P12P14P15P18P20P24P30 q^22P4^5P5^2P8^2P10^2P12^2P15P20^2P24P30 1 (g2,1) phi{2400,23} | 1/2q^21P4^4P5^2P8^2P9P10^2P12^2P14P15P20P24P30 q^23P4^2P5^2P8^3P9P10^2P12P15P18P20P24P30 1 (1,eps) D4:phi{8,9}' | 1/2q^21P1^4P3^2P4^2P5^2P7P8^2P9P10^2P12P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4200,24} | 1/2q^24P4^2P5^2P7P8^2P9P10P12P14P15P18P20P24P30 q^24P5^2P7P8^3P9P10^2P14P15P18P20P24P30 1 (1,1) phi{840,26} | 1/2q^24P4^2P5P7P8^2P9P10^2P12P14P15P18P20P24P30 q^26P5P7P8^2P9P10P14P15P16P18P20P24P30 1 (g2,1) phi{3360,25} | 1/2q^24P2^4P5P6^2P7P8^2P9P10^2P14P15P18P20P24P30 q^25P4^3P5P7P8^2P9P10P12P14P15P18P20P24P30 1 (1,eps) D4:phi{2,16}' | 1/2q^24P1^4P3^2P5^2P7P8^2P9P10P14P15P18P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2800,25} | 1/2q^25P2^4P5^2P6^4P7P8P10^2P14P15P18P20P24P30 q^25P4^3P5^2P7P8P10^2P12^3P14P15P20P24P30 1 (1,1) phi{700,28} | 1/2q^25P4^2P5^2P7P8P10^2P12^2P14P15P18P20P24P30 q^28P5^2P7P8^2P10^2P14P15P20P24^2P30 1 (g2,1) phi{2100,28} | 1/2q^25P4^2P5^2P7P8P9P10^2P12^2P14P15P20P24P30 2q^28P5^2P7P8P9P10^2P14P15P18P20P24P30 1 (1,eps) D4:phi{9,6}'' | 1/2q^25P1^4P3^4P5^2P7P8P9P10^2P14P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2240,28} | 1/2q^28P2^4P4^2P5P6^2P7P8P10^2P12P14P15P18P20P24P30 q^28P4^3P5P7P8^2P10P12^2P14P15P16P20P24P30 1 (1,1) phi{1400,29} | 1/2q^28P4^2P5^2P7P8^2P10P12^2P14P15P18P20P24P30 q^29P4^2P5^2P7P8P10^2P12P14P15P20^2P24P30 1 (g2,1) phi{840,31} | 1/2q^28P4^2P5P7P8^2P9P10^2P12^2P14P15P20P24P30 q^31P4^2P5P7P8P9P10P12P14P15P18P20P24P30 1 (1,eps) D4:phi{4,7}'' | 1/2q^28P1^4P3^2P4^2P5^2P7P8P9P10P12P14P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{2268,30} | 1/2q^30P3^3P4^2P6^4P7P8P9P12^2P15P18P20P24P30 q^30P3^3P6^3P7P8P9P12^2P14P15P16P18P24P30 1 (1,1) phi{972,32} | 1/2q^30P3^4P4^2P6^3P8P9P12^2P14P15P18P20P24P30 q^32P3^4P6^4P8^2P9P12^2P15P18P24^2P30 1 (g2,1) phi{1296,33} | 1/2q^30P2^4P3^3P6^4P8P9P10^2P12^2P14P15P18P24P30 q^33P3^3P4^3P6^3P8P9P12^2P15P18P20P24P30 1 (1,eps) D4:phi{9,10} | 1/2q^30P1^4P3^4P5^2P6^3P7P8P9P12^2P15P18P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{700,42} | 1/2q^42P4^2P5^2P7P8P10^2P12P15P18P20P24P30 q^42P5^2P7P8P10^2P14P15P16P20P24P30 1 (1,1) phi{400,43} | 1/2q^42P2^4P5^2P6^2P8P10^2P14P15P18P20P24P30 q^43P4^3P5^2P8P10^2P12P15P20^2P24P30 1 (g2,1) phi{300,44} | 1/2q^42P4^2P5^2P8P9P10^2P12P14P15P20P24P30 q^44P5^2P8^2P9P10^2P15P18P20P24P30 1 (1,eps) D4:phi{1,12}'' | 1/2q^42P1^4P3^2P5^2P7P8P9P10^2P15P20P24P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{210,52} | 1/2q^52P5P7P8^2P9P10^2P15P20P24P30 q^52P5P7P9P10P14P15P16P18P20P30 1 (1,1) phi{50,56} | 1/2q^52P5^2P8^2P10P14P15P18P20P24P30 q^56P5^2P10^2P15P20P30P32 1 (g2,1) phi{160,55} | 1/2q^52P2^4P4^2P5P6^2P10^2P12P14P15P18P20P30 q^55P4^3P5P8^2P10P12P15P20P24P30 1 (1,eps) D4:phi{2,16}'' | 1/2q^52P1^4P3^2P4^2P5^2P7P9P10P12P15P20P30 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{112,63} | 1/2q^63P2^4P6^2P7P8P10^2P14P18P24P30 q^63P4^3P7P8P12P14P20P24P28 1 (1,1) phi{84,64} | 1/2q^63P4^2P7P8P9P12P14P20P24P30 q^64P7P8P9P14P18P24P32 1 (g2,1) phi{28,68} | 1/2q^63P4^2P7P8P12P14P15P18P20P24 q^68P7P8^2P14P15P24P30 1 (1,eps) D4:phi{1,24} | 1/2q^63P1^4P3^2P5^2P7P8P9P14P15P24 0 -1 (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4096,11} | 1/2q^11P2^7P4^4P6^4P8^2P10^2P12^2P14P18P20P24P30 (1+2q^4+2q^6+3q^8+3q^10+4q^12+2q^14+5q^16+5q^18+4q^20+4q^22+5q^24+3q^26+5q^28+4q^30+3q^32+3q^34+2q^36+q^38+2q^40+q^42)q^11P4^4P8^2P12^2P20P24 1 (1,1) #phi{4096,12} | 1/2q^11P2^7P4^4P6^4P8^2P10^2P12^2P14P18P20P24P30 (1+2q^2+q^4+2q^6+3q^8+3q^10+4q^12+5q^14+3q^16+5q^18+4q^20+4q^22+5q^24+5q^26+2q^28+4q^30+3q^32+3q^34+2q^36+2q^38+q^42)q^12P4^4P8^2P12^2P20P24 1 (1,eps) E7[I]:2 | 1/2q^11P1^7P3^4P4^4P5^2P7P8^2P9P12^2P15P20P24 0 Iq^(1/2) (g2,1) E7[-I]:2 | 1/2q^11P1^7P3^4P4^4P5^2P7P8^2P9P12^2P15P20P24 0 -Iq^(1/2) (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4096,26} | 1/2q^26P2^7P4^4P6^4P8^2P10^2P12^2P14P18P20P24P30 (1+2q^4+2q^6+3q^8+3q^10+4q^12+2q^14+5q^16+5q^18+4q^20+4q^22+5q^24+3q^26+5q^28+4q^30+3q^32+3q^34+2q^36+q^38+2q^40+q^42)q^26P4^4P8^2P12^2P20P24 1 (1,1) #phi{4096,27} | 1/2q^26P2^7P4^4P6^4P8^2P10^2P12^2P14P18P20P24P30 (1+2q^2+q^4+2q^6+3q^8+3q^10+4q^12+5q^14+3q^16+5q^18+4q^20+4q^22+5q^24+5q^26+2q^28+4q^30+3q^32+3q^34+2q^36+2q^38+q^42)q^27P4^4P8^2P12^2P20P24 1 (1,eps) E7[I]:11 | 1/2q^26P1^7P3^4P4^4P5^2P7P8^2P9P12^2P15P20P24 0 Iq^(1/2) (g2,1) E7[-I]:11 | 1/2q^26P1^7P3^4P4^4P5^2P7P8^2P9P12^2P15P20P24 0 -Iq^(1/2) (g2,eps) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{1400,7} | 1/6q^7P4^2P5^2P7P8^2P9P12^2P14P18P20P24P30 q^7P4^2P5^2P7P8P10^2P12^2P14P15P20P24P30 1 (1,1) phi{1344,8} | 1/2q^7P2^4P4^2P6^2P7P8P9P10^2P12P14P18P20P24P30 (1+q^2-2q^6+q^10+q^12)q^8P4^3P7P8^2P9P12^2P14P18P20P24 1 (g2,1) phi{448,9} | 1/3q^7P4^4P7P8^2P9P12P14P15P18P20P24P30 q^9P4^4P7P8^2P12^2P14P20P24^2P28 1 (g3,1) phi{1008,9} | 1/3q^7P3^3P4^2P6^3P7P8^2P12^2P14P15P20P24P30 (1+q^2-q^4+q^8-q^12+q^14+q^16)q^9P4^2P7P8^2P9P12P14P18P20P24 1 (1,r) phi{56,19} | 1/6q^7P4^2P7P8^2P9P10^2P12^2P14P15P18P20P24 (1-q^4+q^6-q^8+q^12)q^19P4^2P7P8P12P14P20P24 1 (1,eps) D4:phi{4,1} | 1/2q^7P1^4P3^2P4^2P5^2P7P8P9P12P14P15P18P20P24 0 -1 (g2,eps) E6[E3]:phi{1,0} | 1/3q^7P1^6P2^6P4^4P5^2P7P8^2P10^2P12P14P20P24 0 E3 (g3,E3) E6[E3^2]:phi{1,0} | 1/3q^7P1^6P2^6P4^4P5^2P7P8^2P10^2P12P14P20P24 0 E3^2 (g3,E3^2) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{1400,8} | 1/6q^8P4^4P5^2P7P9P10^2P14P15P18P20P24P30 (1-q^2+2q^6-q^10+q^12)q^8P5^2P7P8^2P10^2P14P15P20P24P30 1 (1,1) phi{1050,10} | 1/2q^8P5^2P7P8^2P9P10^2P14P15P18P20P24P30 (1+q^4-2q^6+q^8+q^12)q^10P5^2P7P9P10^2P14P15P18P20P30 1 (g2,1) phi{175,12} | 1/3q^8P5^2P7P9P10^2P12^2P14P15P18P20P24P30 (1-q^2+q^10-q^18+q^20)q^12P5^2P7P10^2P14P15P20P30 1 (g3,1) phi{1575,10} | 1/3q^8P3^3P5^2P6^3P7P10^2P12^2P14P15P20P24P30 (1+q^2-q^4+q^6-q^8+q^10+q^12)q^10P5^2P7P9P10^2P14P15P18P20P30 1 (1,r) phi{350,14} | 1/6q^8P5^2P7P8^2P9P10^2P12^2P14P15P18P20P30 (1-q^2+q^4+q^6-2q^8+q^10+q^12-q^14+q^16)q^14P5^2P7P10^2P14P15P20P30 1 (1,eps) D4:phi{8,3}' | 1/2q^8P1^4P2^4P3^2P5^2P6^2P7P9P10^2P14P15P18P20P30 0 -1 (g2,eps) E6[E3]:phi{1,3}' | 1/3q^8P1^6P2^6P4^4P5^2P7P8^2P10^2P14P15P20P30 0 E3 (g3,E3) E6[E3^2]:phi{1,3}' | 1/3q^8P1^6P2^6P4^4P5^2P7P8^2P10^2P14P15P20P30 0 E3^2 (g3,E3^2) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{1400,32} | 1/6q^32P4^4P5^2P7P9P10^2P14P15P18P20P24P30 (1-q^2+2q^6-q^10+q^12)q^32P5^2P7P8^2P10^2P14P15P20P24P30 1 (1,1) phi{1050,34} | 1/2q^32P5^2P7P8^2P9P10^2P14P15P18P20P24P30 (1+q^4-2q^6+q^8+q^12)q^34P5^2P7P9P10^2P14P15P18P20P30 1 (g2,1) phi{175,36} | 1/3q^32P5^2P7P9P10^2P12^2P14P15P18P20P24P30 (1-q^2+q^10-q^18+q^20)q^36P5^2P7P10^2P14P15P20P30 1 (g3,1) phi{1575,34} | 1/3q^32P3^3P5^2P6^3P7P10^2P12^2P14P15P20P24P30 (1+q^2-q^4+q^6-q^8+q^10+q^12)q^34P5^2P7P9P10^2P14P15P18P20P30 1 (1,r) phi{350,38} | 1/6q^32P5^2P7P8^2P9P10^2P12^2P14P15P18P20P30 (1-q^2+q^4+q^6-2q^8+q^10+q^12-q^14+q^16)q^38P5^2P7P10^2P14P15P20P30 1 (1,eps) D4:phi{8,9}'' | 1/2q^32P1^4P2^4P3^2P5^2P6^2P7P9P10^2P14P15P18P20P30 0 -1 (g2,eps) E6[E3]:phi{1,3}'' | 1/3q^32P1^6P2^6P4^4P5^2P7P8^2P10^2P14P15P20P30 0 E3 (g3,E3) E6[E3^2]:phi{1,3}'' | 1/3q^32P1^6P2^6P4^4P5^2P7P8^2P10^2P14P15P20P30 0 E3^2 (g3,E3^2) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{1400,37} | 1/6q^37P4^2P5^2P7P8^2P9P12^2P14P18P20P24P30 q^37P4^2P5^2P7P8P10^2P12^2P14P15P20P24P30 1 (1,1) phi{1344,38} | 1/2q^37P2^4P4^2P6^2P7P8P9P10^2P12P14P18P20P24P30 (1+q^2-2q^6+q^10+q^12)q^38P4^3P7P8^2P9P12^2P14P18P20P24 1 (g2,1) phi{448,39} | 1/3q^37P4^4P7P8^2P9P12P14P15P18P20P24P30 q^39P4^4P7P8^2P12^2P14P20P24^2P28 1 (g3,1) phi{1008,39} | 1/3q^37P3^3P4^2P6^3P7P8^2P12^2P14P15P20P24P30 (1+q^2-q^4+q^8-q^12+q^14+q^16)q^39P4^2P7P8^2P9P12P14P18P20P24 1 (1,r) phi{56,49} | 1/6q^37P4^2P7P8^2P9P10^2P12^2P14P15P18P20P24 (1-q^4+q^6-q^8+q^12)q^49P4^2P7P8P12P14P20P24 1 (1,eps) D4:phi{4,13} | 1/2q^37P1^4P3^2P4^2P5^2P7P8P9P12P14P15P18P20P24 0 -1 (g2,eps) E6[E3]:phi{1,6} | 1/3q^37P1^6P2^6P4^4P5^2P7P8^2P10^2P12P14P20P24 0 E3 (g3,E3) E6[E3^2]:phi{1,6} | 1/3q^37P1^6P2^6P4^4P5^2P7P8^2P10^2P12P14P20P24 0 E3^2 (g3,E3^2) __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ *phi{4480,16} | 1/120q^16P2^8P5^2P7P8^2P9P12^2P14P15P18P20P24P30 (1-q^2+q^4+3q^6+2q^8+q^10+5q^12+5q^14+6q^16+6q^18+8q^20+8q^22+12q^24+7q^26+9q^28+14q^30+9q^32+7q^34+12q^36+8q^38+8q^40+6q^42+6q^44+5q^46+5q^48+q^50+2q^52+3q^54+q^56-q^58+q^60)q^16P7P8^2P14P24 1 (1,1) E8^2[1] | 1/120q^16P1^8P7P8^2P9P10^2P12^2P14P15P18P20P24P30 0 1 (1,lambda^4) phi{70,32} | 1/30q^16P5^2P6^4P7P8^2P9P10^2P12^2P14P15P18P20P24 (1-q^2+q^4+q^6-q^8+q^10+q^12-2q^14+4q^16-2q^20+4q^22-2q^24+4q^28-2q^30+q^32+q^34-q^36+q^38+q^40-q^42+q^44)q^32P7P14 1 (1,lambda^3) phi{5670,18} | 1/30q^16P3^4P5^2P7P8^2P9P10^2P12^2P14P18P20P24P30 (1+q^2+3q^4+2q^6+3q^8+8q^10+4q^12+9q^14+11q^16+10q^18+13q^20+16q^22+12q^24+16q^26+19q^28+14q^30+19q^32+16q^34+12q^36+16q^38+13q^40+10q^42+11q^44+9q^46+4q^48+8q^50+3q^52+2q^54+3q^56+q^58+q^60)q^18P7P9P14P18 1 (1,lambda) phi{4536,18} | 1/24q^16P3^4P4^4P7P8^2P9P10^2P14P15P18P20P24P30 (1+q^2+q^4+2q^6+5q^8+2q^10+8q^12+5q^14+7q^16+10q^18+11q^20+8q^22+16q^24+12q^26+11q^28+16q^30+11q^32+12q^34+16q^36+8q^38+11q^40+10q^42+7q^44+5q^46+8q^48+2q^50+5q^52+2q^54+q^56+q^58+q^60)q^18P7P9P14P18 1 (1,nu) phi{1400,20} | 1/24q^16P4^4P5^2P6^4P7P8^2P9P14P15P18P20P24P30 (1-q^2+2q^4-q^8+2q^10+2q^12-2q^14+2q^16+2q^18-q^20+2q^24-q^26+q^28)q^20P5^2P7P10^2P14P15P20P30 1 (1,nu') phi{1680,22} | 1/20q^16P4^4P5^2P7P8^2P9P10^2P12^2P14P15P18P24P30 (1+q^2+q^4-q^6+2q^8+2q^10+q^12+q^16+4q^18+q^20+q^24+2q^26+2q^28-q^30+q^32+q^34+q^36)q^22P7P8^2P9P14P18P24 1 (1,lambda^2) phi{7168,17} | 1/12q^16P2^8P4^4P6^2P7P9P10^2P12P14P15P18P20P24P30 (1+q^4+q^8-q^10+2q^12+2q^16-q^18+q^20+q^24+q^28)q^17P4^5P7P8^2P12^3P14P20P24 1 (g2,1) E8[-1] | 1/12q^16P1^8P3^2P4^4P5^2P7P9P12P14P15P18P20P24P30 0 -1 (g2,-eps) D4:phi{12,4} | 1/12q^16P1^4P3^4P4^2P5^2P7P8^2P9P12^2P14P15P18P20P30 0 -1 (g2,-1) phi{448,25} | 1/12q^16P2^4P4^2P6^4P7P8^2P9P10^2P12^2P14P15P18P20P30 (1-q^2+2q^6-2q^8+2q^12-2q^16+2q^18-q^22+q^24)q^25P4^3P7P8^2P12P14P20P24 1 (g2,eps) D4:phi{6,6}'' | 1/6q^16P1^4P3^4P4^2P5^2P7P9P10^2P12^2P14P15P18P20P24 0 -1 (g2,-r) phi{5600,19} | 1/6q^16P2^4P4^2P5^2P6^4P7P9P10^2P12^2P14P18P20P24P30 (2-3q^2+2q^4)q^19P4^3P5^2P7P8^2P10^2P12P14P15P20P24P30 1 (g2,r) phi{4200,18} | 1/8q^16P4^4P5^2P7P8^2P9P12^2P14P15P18P20P24P30 (1+q^2+q^4-q^6+2q^8+2q^12-q^14+q^16+q^18+q^20)q^18P5^2P7P9P10^2P14P15P18P20P30 1 (g'2,1) E8[1] | 1/8q^16P1^8P3^4P5^2P7P8^2P9P14P15P18P20P24P30 0 1 (g'2,eps) phi{168,24} | 1/8q^16P4^4P7P8^2P9P10^2P12^2P14P15P18P20P24P30 (1+q^4-q^6+2q^8-2q^10+2q^12-q^14+4q^16-q^18+2q^20-2q^22+2q^24-q^26+q^28+q^32)q^24P7P9P14P15P18P30 1 (g'2,eps') phi{2688,20} | 1/8q^16P2^8P6^4P7P8^2P9P10^2P14P15P18P20P24P30 (2+q^2+3q^4+2q^6+5q^8+q^10+4q^12+q^14+5q^16+2q^18+3q^20+q^22+2q^24)q^20P7P8^2P9P14P15P18P24P30 1 (g'2,eps'') D4:phi{16,5} |1/4q^16P1^4P2^4P3^2P5^2P6^2P7P8^2P9P10^2P14P15P18P24P30 0 -1 (g'2,r) phi{3150,18} | 1/6q^16P3^3P5^2P6^4P7P8^2P12^2P14P15P18P20P24P30 (1+q^2-q^4+q^6-q^8+q^10+q^12)q^18P5^2P7P9P10^2P14P15P16P18P20P30 1 (g3,1) phi{1134,20} | 1/6q^16P3^4P6^3P7P8^2P9P10^2P12^2P14P15P20P24P30 (1+q^4+2q^6+q^8+2q^10+5q^12+q^16+6q^18+2q^20+2q^22+8q^24+2q^26+2q^28+6q^30+q^32+5q^36+2q^38+q^40+2q^42+q^44+q^48)q^20P7P9P14P18P20 1 (g3,eps) E6[E3]:phi{2,1} | 1/6q^16P1^6P2^8P4^4P5^2P7P8^2P10^2P14P15P18P20P24 0 E3 (g3,E3) E8[E3] | 1/6q^16P1^8P2^6P4^4P5^2P7P8^2P9P10^2P14P20P24P30 0 E3 (g3,epsE3) E6[E3^2]:phi{2,1} | 1/6q^16P1^6P2^8P4^4P5^2P7P8^2P10^2P14P15P18P20P24 0 E3^2 (g3,E3^2) E8[E3^2] | 1/6q^16P1^8P2^6P4^4P5^2P7P8^2P9P10^2P14P20P24P30 0 E3^2 (g3,epsE3^2) phi{2016,19} | 1/6q^16P2^4P3^3P4^2P6^4P7P10^2P12^2P14P15P18P20P24P30 (1+q^2-q^4+q^8-q^12+q^14+q^16)q^19P4^3P7P8^2P9P12P14P18P20^2P24 1 (g6,1) D4:phi{6,6}' | 1/6q^16P1^4P3^4P4^2P5^2P6^3P7P9P12^2P14P15P20P24P30 0 -1 (g6,-1) E6[E3]:phi{2,2} | 1/6q^16P1^6P2^8P4^4P5^2P6^2P7P8^2P10^2P12P14P18P20P30 0 E3 (g6,E3) E8[-E3] | 1/6q^16P1^8P2^6P3^2P4^4P5^2P7P8^2P9P10^2P12P14P15P20 0 -E3 (g6,-E3) E6[E3^2]:phi{2,2} | 1/6q^16P1^6P2^8P4^4P5^2P6^2P7P8^2P10^2P12P14P18P20P30 0 E3^2 (g6,E3^2) E8[-E3^2] | 1/6q^16P1^8P2^6P3^2P4^4P5^2P7P8^2P9P10^2P12P14P15P20 0 -E3^2 (g6,-E3^2) phi{1344,19} | 1/4q^16P2^4P4^2P6^2P7P8^2P9P10^2P12P14P15P18P20P24P30 q^19P4^3P7P8^2P9P12P14P15P16P18P20P24P30 1 (g4,1) D4:phi{4,8} | 1/4q^16P1^4P3^2P4^2P5^2P7P8^2P9P12P14P15P18P20P24P30 0 -1 (g4,-1) E8[I] | 1/4q^16P1^8P2^8P3^4P5^2P6^4P7P9P10^2P14P15P18P30 0 I (g4,I) E8[-I] | 1/4q^16P1^8P2^8P3^4P5^2P6^4P7P9P10^2P14P15P18P30 0 -I (g4,-I) phi{420,20} | 1/5q^16P5^2P7P8^2P9P10^2P12^2P14P15P18P20P24P30 (1+q^2-q^4-3q^6+5q^10+5q^12-2q^14-7q^16-2q^18+5q^20+5q^22-3q^26-q^28+q^30+q^32)q^20P7P8^2P9P12^2P14P18P24 1 (g5,1) E8[E5] | 1/5q^16P1^8P2^8P3^4P4^4P6^4P7P8^2P9P12^2P14P18P24 0 E5 (g5,E5) E8[E5^2] | 1/5q^16P1^8P2^8P3^4P4^4P6^4P7P8^2P9P12^2P14P18P24 0 E5^2 (g5,E5^2) E8[E5^3] | 1/5q^16P1^8P2^8P3^4P4^4P6^4P7P8^2P9P12^2P14P18P24 0 E5^3 (g5,E5^3) E8[E5^4] | 1/5q^16P1^8P2^8P3^4P4^4P6^4P7P8^2P9P12^2P14P18P24 0 E5^4 (g5,E5^4)