Finite Group Databasebeta

← Group #11986708

Character table — Group #11986708

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122222222224444448888888888888888888888888816161616161616161616161616161616161616161616161640404040808080808080
order1222225510101010101044101010104444442020202020202020202020202020202020202020888820202020404040404040404040404040404040408888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−i
χ61111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111−i−iii
χ71111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii
χ81111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111ii−i−i
χ91-11-11-111-1-111-1-1-11-1-1111-1i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ii−i−i−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ3911-1-1i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ101-11-11-111-1-111-1-1-11-1-1111-1i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ii−i−i−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39-1-111−iiζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ111-11-11-111-1-111-1-1-11-1-1111-1i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ii−i−iζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ3911-1-1i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ121-11-11-111-1-111-1-1-11-1-1111-1i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ii−i−iζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39-1-111−ii−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ131-11-11-111-1-111-1-1-11-1-1111-1−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−i−iii−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ3711-1-1−ii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ141-11-11-111-1-111-1-1-11-1-1111-1−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−i−iii−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37-1-111i−iζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ151-11-11-111-1-111-1-1-11-1-1111-1−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−i−iiiζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ3711-1-1−iiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ161-11-11-111-1-111-1-1-11-1-1111-1−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−i−iiiζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37-1-111i−i−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ1722222222222222222222-2-222-2-22222-2-2-2-2-2-2-2-2222222220000-2-2-2-200000000000000000000000000
χ1822222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i2i−2i−2i1−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i−2i2i2i1−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i2i−2i−2i1+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i−2i2i2i1+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000000
χ352-22-22-222-2-222-2-2-22-2-222-222i−2i−2i2i22-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i0000−2i−2i2i2i00000000000000000000000000
χ362-22-22-222-2-222-2-2-22-2-222-22−2i2i2i−2i22-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00002i2i−2i−2i00000000000000000000000000
χ372-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−522-22i−2i2i−2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ13+ζ37ζ13+ζ37ζ21+ζ29ζ21+ζ29−ζ13−ζ37−ζ13−ζ37−ζ21−ζ29−ζ21−ζ29ζ7+ζ23ζ7+ζ23ζ31+ζ39ζ31+ζ39−ζ7−ζ23−ζ7−ζ23−ζ31−ζ39−ζ31−ζ390000000000
χ382-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−522-22i−2i2i−2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ142ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ13−ζ37−ζ13−ζ37−ζ21−ζ29−ζ21−ζ29ζ13+ζ37ζ13+ζ37ζ21+ζ29ζ21+ζ29−ζ7−ζ23−ζ7−ζ23−ζ31−ζ39−ζ31−ζ39ζ7+ζ23ζ7+ζ23ζ31+ζ39ζ31+ζ390000000000
χ392-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−522-2−2i2i−2i2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ7+ζ23ζ7+ζ23ζ31+ζ39ζ31+ζ39−ζ7−ζ23−ζ7−ζ23−ζ31−ζ39−ζ31−ζ39ζ13+ζ37ζ13+ζ37ζ21+ζ29ζ21+ζ29−ζ13−ζ37−ζ13−ζ37−ζ21−ζ29−ζ21−ζ290000000000
χ402-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−522-2−2i2i−2i2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ142ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ7−ζ23−ζ7−ζ23−ζ31−ζ39−ζ31−ζ39ζ7+ζ23ζ7+ζ23ζ31+ζ39ζ31+ζ39−ζ13−ζ37−ζ13−ζ37−ζ21−ζ29−ζ21−ζ29ζ13+ζ37ζ13+ζ37ζ21+ζ29ζ21+ζ290000000000
χ412-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−52-222i−2i−2i2i−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ390000000000
χ422-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−52-222i−2i−2i2i−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ390000000000
χ432-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−52-22−2i2i2i−2i−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ290000000000
χ442-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52-221−521+52−1+52−1−52-22−2i2i2i−2i−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ290000000000
χ452-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+522-22i−2i2i−2i−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ21+ζ29ζ21+ζ29ζ13+ζ37ζ13+ζ37−ζ21−ζ29−ζ21−ζ29−ζ13−ζ37−ζ13−ζ37ζ31+ζ39ζ31+ζ39ζ7+ζ23ζ7+ζ23−ζ31−ζ39−ζ31−ζ39−ζ7−ζ23−ζ7−ζ230000000000
χ462-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+522-22i−2i2i−2i−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ382ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ21−ζ29−ζ21−ζ29−ζ13−ζ37−ζ13−ζ37ζ21+ζ29ζ21+ζ29ζ13+ζ37ζ13+ζ37−ζ31−ζ39−ζ31−ζ39−ζ7−ζ23−ζ7−ζ23ζ31+ζ39ζ31+ζ39ζ7+ζ23ζ7+ζ230000000000
χ472-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+522-2−2i2i−2i2i−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ31+ζ39ζ31+ζ39ζ7+ζ23ζ7+ζ23−ζ31−ζ39−ζ31−ζ39−ζ7−ζ23−ζ7−ζ23ζ21+ζ29ζ21+ζ29ζ13+ζ37ζ13+ζ37−ζ21−ζ29−ζ21−ζ29−ζ13−ζ37−ζ13−ζ370000000000
χ482-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+522-2−2i2i−2i2i−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ382ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ31−ζ39−ζ31−ζ39−ζ7−ζ23−ζ7−ζ23ζ31+ζ39ζ31+ζ39ζ7+ζ23ζ7+ζ23−ζ21−ζ29−ζ21−ζ29−ζ13−ζ37−ζ13−ζ37ζ21+ζ29ζ21+ζ29ζ13+ζ37ζ13+ζ370000000000
χ492-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+52-222i−2i−2i2i−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ230000000000
χ502-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+52-222i−2i−2i2i−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ230000000000
χ512-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+52-22−2i2i2i−2i−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ370000000000
χ522-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52-221+521−52−1−52−1+52-22−2i2i2i−2i−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ370000000000
χ5344444444444444-4-44444000000-4-4-4-400000000000000000000000000000000000000000000000000
χ54444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−50000001−51+51−51+5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000
χ55444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−50000001−51+51−51+500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000
χ56444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+50000001+51−51+51−500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000
χ57444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+50000001+51−51+51−5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000
χ584444-4-44444444400-4-4-4-4000000000000000000000000000000000000000000000000002i−2i2i−2i000000
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χ614-44-44-4−1+5−1−51−51+5−1+5−1−51−51+54-41−51+5−1+5−1−50000001−51+5−1+5−1−500000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000
χ624-44-44-4−1+5−1−51−51+5−1+5−1−51−51+54-41−51+5−1+5−1−50000001−51+5−1+5−1−5000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000
χ634-44-44-4−1−5−1+51+51−5−1−5−1+51+51−54-41+51−5−1−5−1+50000001+51−5−1−5−1+5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000
χ644-44-44-4−1−5−1+51+51−5−1−5−1+51+51−54-41+51−5−1−5−1+50000001+51−5−1−5−1+500000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000
χ654-44-4-4444-4-444-4-40044-4-4000000000000000000000000000000000000000000000000002i−2i−2i2i000000
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χ678888-8-8−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−25002−252+252−252+25000000000000000000000000000000000000000000000000000000000000
χ688888-8-8−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+25002+252−252+252−25000000000000000000000000000000000000000000000000000000000000
χ6988-8-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000
χ7088-8-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000
χ7188-8-800−2+25−2−25−2+25−2−252−252+252−252+250000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000
χ7288-8-800−2−25−2+25−2−25−2+252+252−252+252−250000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000
χ7388-8-800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000
χ748-88-8-88−2+25−2−252−252+25−2+25−2−252−252+2500−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000
χ758-88-8-88−2−25−2+252+252−25−2−25−2+252+252−2500−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000
χ768-8-880088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000
χ778-8-8800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000
χ788-8-8800−2+25−2−252−252+252−252+25−2+25−2−250000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000
χ798-8-8800−2−25−2+252+252−252+252−25−2−25−2+250000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000
χ808-8-8800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.