Finite Group Databasebeta

← Group #14284757

Character table — Group #14284757

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222222222222223333444444444444444444444444466666666666688888888888888888888888121212121212121212121212121616161616161616161620202020202020202424242424242424242440404040404040406060606060606060
order1222344445566610101010101044444121212121515202020202020202020202020303030303030444420202020202020204412202020202020202060606060606060606060606021010101020202020202020201212606060606060606088888888442020202020202020242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-11111-1-1-1-1ii−i−iii−i−i1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-11111-1-1-1-1−i−iii−i−iii1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-11111ii−i−i−i−iii-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1211111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-11111−i−iiiii−i−i-11-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1311111-1-1-1-111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1ii−i−iii−i−i-11-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1411111-1-1-1-111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1−i−iii−i−iii-11-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1511111-1-1-1-111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111ii−i−i−i−iii1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111-1-1-1-111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111−i−iiiii−i−i1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ18222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−52-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000-2-21−521−521+521+521−521−521+521+520000000000000000
χ19222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222222−1+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+52−1−52-2-2-2-21−521−521−521−521+521+521+521+52222−1+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+52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+520000000000000000
χ20222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222222−1+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+52−1−52-2-2-2-21−521−521−521−521+521+521+521+52-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521+521+520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ21222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1+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+52222−1−52−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ22222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1+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+52-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000-2-21+521+521−521−521+521+521−521−520000000000000000
χ23222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−52222−1−52−1−52−1+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+52-21+521+521−521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−520000000000000000
χ24222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−52-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ25222222-22-2222222222222222-2-22-2222-2-2-2-22222-2-2-2-2222222-2-2222222222200-200000000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ26222222-22-222222222222-2-2-2-2-2-22-2222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200-200000000-2-2-2-2-2-2-2-22222222222222-2-2-2-200000000000000000000000000000000000000000000
χ27222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ28222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ29222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521−521−521−521+521+521+521+5200-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ30222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521−521−521−521+521+521+521+5200-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ31222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ32222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ33222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521+521+521+521−521−521−521−5200-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ34222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521+521+521+521−521−521−521−5200-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ3522222-22-22222222222222222-22-22-222-2-2-2-2-2-2-2-2222222222222-2-22222222200-200000000-2-2-2-22222-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ3622222-22-2222222222222-2-2-2-2-22-22-222-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-200-200000000-2-2-2-22222-2-2-2-222222-2-2-2-2222200000000000000000000000000000000000000000000
χ3722222-22-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-22-22-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3822222-22-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-22-22-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3922222-22-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-22-22-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−521+521+521+521+5200-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ4022222-22-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-22-22-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−521+521+521+521+5200-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ4122222-22-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-22-22-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ4222222-22-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-22-22-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ4322222-22-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-22-22-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521+521+521−521−521−521−5200-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ4422222-22-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-22-22-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521+521+521−521−521−521−5200-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ4522222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000002-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ4622222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ4722222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521−521−521+521+521+521+522-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ4822222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521−521−521+521+521+521+52-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52000000002-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ4922222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000002-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ5022222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
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χ1174-4-444040-4−1+5−1−54-4-41−51+51−51+5−1+5−1−54i−4i4i−4i0-4040−1+5−1−500000000−1+51−5−1−51+5−1+51−5−1−51+51−51+54i−4i00−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000−1+51−5−1−51+5000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ1184-4-444040-4−1+5−1−54-4-41−51+51−51+5−1+5−1−5−4i4i−4i4i0-4040−1+5−1−500000000−1+51−5−1−51+5−1+51−5−1−51+51−51+5−4i4i002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000−1+51−5−1−51+50000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1194-4-444040-4−1−5−1+54-4-41+51−51+51−5−1−5−1+54i−4i4i−4i0-4040−1−5−1+500000000−1−51+5−1+51−5−1−51+5−1+51−51+51−54i−4i00−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000−1−51+5−1+51−5000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ1204-4-444040-4−1−5−1+54-4-41+51−51+51−5−1−5−1+5−4i4i−4i4i0-4040−1−5−1+500000000−1−51+5−1+51−5−1−51+5−1+51−51+51−5−4i4i002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000−1−51+5−1+51−50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1214-4-4440-404−1+5−1−54-4-41−51+51−51+5−1+5−1−54i−4i4i−4i040-40−1+5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+51−51+5−4i4i00−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000001−5−1+51+5−1−50000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1224-4-4440-404−1+5−1−54-4-41−51+51−51+5−1+5−1−5−4i4i−4i4i040-40−1+5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+51−51+54i−4i002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000001−5−1+51+5−1−5000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ1234-4-4440-404−1−5−1+54-4-41+51−51+51−5−1−5−1+54i−4i4i−4i040-40−1−5−1+5000000001+5−1−51−5−1+5−1−51+5−1+51−51+51−5−4i4i00−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000001+5−1−51−5−1+50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1244-4-4440-404−1−5−1+54-4-41+51−51+51−5−1−5−1+5−4i4i−4i4i040-40−1−5−1+5000000001+5−1−51−5−1+5−1−51+5−1+51−51+51−54i−4i002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000001+5−1−51−5−1+5000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ1254-4-44-2040-444-222-4-4-4-4440000020-20-2-2000000004-44-4-22-2222000000000000000000000000000-22-220000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i2000000000000
χ1264-4-44-2040-444-222-4-4-4-4440000020-20-2-2000000004-44-4-22-2222000000000000000000000000000-22-22000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i2000000000000
χ1274-4-44-20-40444-222-4-4-4-44400000-2020-2-200000000-44-44-22-22220000000000000000000000000002-22-200000000000000000000000000022−22−222200000000000000−222−2000000000000
χ1284-4-44-20-40444-222-4-4-4-44400000-2020-2-200000000-44-44-22-22220000000000000000000000000002-22-2000000000000000000000000000−222222−22000000000000002−2−22000000000000
χ12988-8-8-40000884-4488-8-8-8-8000000000-4-40000000000004-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8-40000−2+25−2−254-44−2+25−2−252−252+252−252+250000000001−51+54ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ3600000000−1+51−5−1−51+5−1+5−1−500000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000000000000000000
χ13188-8-8-40000−2+25−2−254-44−2+25−2−252−252+252−252+250000000001−51+5−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ3600000000−1+51−5−1−51+5−1+5−1−5000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-40000−2−25−2+254-44−2−25−2+252+252−252+252−250000000001+51−5−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800000000−1−51+5−1+51−5−1−5−1+5000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000000000000000000
χ13388-8-8-40000−2−25−2+254-44−2−25−2+252+252−252+252−250000000001+51−54ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800000000−1−51+5−1+51−5−1−5−1+500000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000000000000000000
χ1348-88-8-480-80−2+25−2−2544-42−252+25−2+25−2−252−252+2500000040-41−51+50000−2+252−25−2−252+250000−1+5−1+5−1−5−1−51−51+500000000000000000000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000
χ1358-88-8-480-80−2−25−2+2544-42+252−25−2−25−2+252+252−2500000040-41+51−50000−2−252+25−2+252−250000−1−5−1−5−1+5−1+51+51−500000000000000000000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000
χ1368-88-8-4-8080−2+25−2−2544-42−252+25−2+25−2−252−252+25000000-4041−51+500002−25−2+252+25−2−250000−1+5−1+5−1−5−1−51−51+50000000000000000000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000
χ1378-88-8-4-8080−2−25−2+2544-42+252−25−2−25−2+252+252−25000000-4041+51−500002+25−2−252−25−2+250000−1−5−1−5−1+5−1+51+51−50000000000000000000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4080-8−2+25−2−25-4442−252+252−252+25−2+25−2−250000040-401−51+500000000−2+252−25−2−252+251−5−1+51+5−1−5−1+5−1−50000000000000000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000
χ1398-8-88-4080-8−2−25−2+25-4442+252−252+252−25−2−25−2+250000040-401+51−500000000−2−252+25−2+252−251+5−1−51−5−1+5−1−5−1+50000000000000000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000
χ1408-8-88-40-808−2+25−2−25-4442−252+252−252+25−2+25−2−2500000-40401−51+5000000002−25−2+252+25−2−251−5−1+51+5−1−5−1+5−1−5000000000000000000000000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000
χ1418-8-88-40-808−2−25−2+25-4442+252−252+252−25−2−25−2+2500000-40401+51−5000000002+25−2−252−25−2+251+5−1−51−5−1+5−1−5−1+5000000000000000000000000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000

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