Finite Group Databasebeta

← Group #14437712

Character table — Group #14437712

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222222224444444444448888888888101010101010101040402222444444444444448888888888881616161616161616161620202020202020208080333366666666666666121212121212121212121212242424242424242424243030303030303030120120
order1222444444551010101010102020202020202020202020204420202020202020208888888844366612121212121215153030303030306060606060606060606060601212606060606060606024242424242424241212222244444410101010101010102020202020202020202020204420202020202020208888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-11-1
χ61111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-11
χ71111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111111111-1-1-1-1-11
χ81111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-111111-1
χ92222222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000002222222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000002222222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ102222222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000002222222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000002222222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ112222222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000002222222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000002222222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ122222222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5200000000002222222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5200000000002222222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−520000000000
χ13222222-2-2-2-22222222222-2-222-2-2-2-2-2-200000000000000000000222222-2-2-2-22222222222-2-222-2-2-2-2-2-200000000000000000000222222-2-2-2-22222222222-2-222-2-2-2-2-2-200000000000000000000
χ14222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ15222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ16222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ17222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ182222-2-222-2-222222222-2-222-2-222-2-2-2-2000000000000000000002222-2-222-2-222222222-2-222-2-222-2-2-2-2000000000000000000002222-2-222-2-222222222-2-222-2-222-2-2-2-200000000000000000000
χ192222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ202222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ212222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ222222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ232222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000002222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000002222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ242222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000002222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000002222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ252222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000002222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000002222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ262222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000002222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000002222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ2722-2-22-20000222-22-2-2-22-2002-2000000000000000022−2−222−2−20022-2-22-20000222-22-2-2-22-2002-2000000000000000022−2−222−2−20022-2-22-20000222-22-2-2-22-2002-2000000000000000022−2−222−2−200
χ2822-2-22-20000222-22-2-2-22-2002-20000000000000000−2−222−2−2220022-2-22-20000222-22-2-2-22-2002-20000000000000000−2−222−2−2220022-2-22-20000222-22-2-2-22-2002-20000000000000000−2−222−2−22200
χ2922-2-2-220000222-22-2-2-2-2200-22000000000000000022−2−2−2−2220022-2-2-220000222-22-2-2-2-2200-22000000000000000022−2−2−2−2220022-2-2-220000222-22-2-2-2-2200-22000000000000000022−2−2−2−22200
χ3022-2-2-220000222-22-2-2-2-2200-220000000000000000−2−22222−2−20022-2-2-220000222-22-2-2-2-2200-220000000000000000−2−22222−2−20022-2-2-220000222-22-2-2-2-2200-220000000000000000−2−22222−2−200
χ312-22-200002-222-2-2-2-222000000002-22-2000000000000002i−2i2i−2i002-22-200002-222-2-2-2-222000000002-22-2000000000000002i−2i2i−2i002-22-200002-222-2-2-2-222000000002-22-2000000000000002i−2i2i−2i00
χ322-22-200002-222-2-2-2-222000000002-22-200000000000000−2i2i−2i2i002-22-200002-222-2-2-2-222000000002-22-200000000000000−2i2i−2i2i002-22-200002-222-2-2-2-222000000002-22-200000000000000−2i2i−2i2i00
χ332-22-20000-2222-2-2-2-22200000000-22-2200000000002i−2i2i−2i0000002-22-20000-2222-2-2-2-22200000000-22-2200000000002i−2i2i−2i0000002-22-20000-2222-2-2-2-22200000000-22-2200000000002i−2i2i−2i000000
χ342-22-20000-2222-2-2-2-22200000000-22-220000000000−2i2i−2i2i0000002-22-20000-2222-2-2-2-22200000000-22-220000000000−2i2i−2i2i0000002-22-20000-2222-2-2-2-22200000000-22-220000000000−2i2i−2i2i000000
χ352-2-22002-20022-22-22-2-2002-2002-200000000000000i2−i2−i2i2i2−i2−i2i2002-2-22002-20022-22-22-2-2002-2002-200000000000000i2−i2−i2i2i2−i2−i2i2002-2-22002-20022-22-22-2-2002-2002-200000000000000i2−i2−i2i2i2−i2−i2i200
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χ561111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-111111111-1-1-1-11-1
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χ1194444-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000-2-2-2-222-2-2221−521+521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000000000000000000000000000000000000000000000
χ1204444-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000-2-2-2-222-2-2221−521+521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000000000000000000000000000000000000000000000
χ1214444-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000-2-2-2-222-2-2221+521−521+521+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000000000000000000000000000000000000000000000
χ1224444-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000-2-2-2-222-2-2221+521−521+521+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000000000000000000000000000000000000000000000
χ1234444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−54-4−1+5−1+5−1−5−1−51−51−51+51+50000000000-2-2-2-22222-2-21−521+521−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000000000000000000
χ1244444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5-441−51−51+51+5−1+5−1+5−1−5−1−50000000000-2-2-2-22222-2-21−521+521−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000000000000000000000000000000
χ1254444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+54-4−1−5−1−5−1+5−1+51+51+51−51−50000000000-2-2-2-22222-2-21+521−521+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000000000000000000
χ1264444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5-441+51+51−51−5−1−5−1−5−1+5−1+50000000000-2-2-2-22222-2-21+521−521+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000000000000000000000000000000
χ12744-4-44-40000444-44-4-4-44-4004-400000000000000002222−22−222222−22−2200-2-222-220000-2-2-22-2222-2200-220000000000000000−2−222−2−2220000000000000000000000000000000000000000000000000000
χ12844-4-44-40000444-44-4-4-44-4004-40000000000000000−22−222222−22−22222200-2-222-220000-2-2-22-2222-2200-22000000000000000022−2−222−2−20000000000000000000000000000000000000000000000000000
χ12944-4-4-440000444-44-4-4-4-4400-4400000000000000002222−22−22−22−22222200-2-2222-20000-2-2-22-22222-2002-20000000000000000−2−22222−2−20000000000000000000000000000000000000000000000000000
χ13044-4-4-440000444-44-4-4-4-4400-440000000000000000−22−2222222222−22−2200-2-2222-20000-2-2-22-22222-2002-2000000000000000022−2−2−2−2220000000000000000000000000000000000000000000000000000
χ1314-44-400004-444-4-4-4-444000000004-44-4000000000000004i−4i4i−4i00-22-220000-22-2-22222-2-200000000-22-2200000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ1324-44-400004-444-4-4-4-444000000004-44-400000000000000−4i4i−4i4i00-22-220000-22-2-22222-2-200000000-22-22000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ1334-44-40000-4444-4-4-4-44400000000-44-4400000000004i−4i4i−4i000000-22-2200002-2-2-22222-2-2000000002-22-20000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1344-44-40000-4444-4-4-4-44400000000-44-440000000000−4i4i−4i4i000000-22-2200002-2-2-22222-2-2000000002-22-200000000002i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1354-4-44004-40044-44-44-4-4004-4004-4000000000000002i2−2i2−2i22i22i2−2i2−2i22i200-222-200-2200-2-22-22-22200-2200-2200000000000000−i2i2i2−i2−i2i2i2−i20000000000000000000000000000000000000000000000000000
χ1364-4-44004-40044-44-44-4-4004-4004-400000000000000−2i22i22i2−2i2−2i22i22i2−2i200-222-200-2200-2-22-22-22200-2200-2200000000000000i2−i2−i2i2i2−i2−i2i20000000000000000000000000000000000000000000000000000
χ1374-4-4400-440044-44-44-4-400-4400-44000000000000002i2−2i2−2i22i2−2i22i22i2−2i200-222-2002-200-2-22-22-222002-2002-200000000000000−i2i2i2−i2i2−i2−i2i20000000000000000000000000000000000000000000000000000
χ1384-4-4400-440044-44-44-4-400-4400-4400000000000000−2i22i22i2−2i22i2−2i2−2i22i200-222-2002-200-2-22-22-222002-2002-200000000000000i2−i2−i2i2−i2i2i2−i20000000000000000000000000000000000000000000000000000
χ13988-8-88-80000−2+25−2−25−2+252−25−2−252+252−252+25−2+252−2500−2−252+2500000000000000000000000000-4-444-4400001−51+51−5−1+51+5−1−5−1+5−1−51−5−1+5001+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-88-80000−2−25−2+25−2−252+25−2+252−252+252−25−2−252+2500−2+252−2500000000000000000000000000-4-444-4400001+51−51+5−1−51−5−1+5−1−5−1+51+5−1−5001−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ14188-8-8-880000−2+25−2−25−2+252−25−2−252+252−252+252−25−2+25002+25−2−2500000000000000000000000000-4-4444-400001−51+51−5−1+51+5−1−5−1+5−1−5−1+51−500−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8-880000−2−25−2+25−2−252+25−2+252−252+252−252+25−2−25002−25−2+2500000000000000000000000000-4-4444-400001+51−51+5−1−51−5−1+5−1−5−1+5−1−51+500−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-800008-8−2+25−2−252−252−252+252+25−2+25−2−2500000000−2+252−25−2−252+2500000000000000000000-44-440000-441−51+5−1+5−1+5−1−5−1−51−51+5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-800008-8−2−25−2+252+252+252−252−25−2−25−2+2500000000−2−252+25−2+252−2500000000000000000000-44-440000-441+51−5−1−5−1−5−1+5−1+51+51−5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-80000-88−2+25−2−252−252−252+252+25−2+25−2−25000000002−25−2+252+25−2−2500000000000000000000-44-4400004-41−51+5−1+5−1+5−1−5−1−51−51+500000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000
χ1468-88-80000-88−2−25−2+252+252+252−252−25−2−25−2+25000000002+25−2−252−25−2+2500000000000000000000-44-4400004-41+51−5−1−5−1−5−1+5−1+51+51−500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8-88008-800−2+25−2−252−25−2+252+25−2−252−252+2500−2+252−2500−2−252+25000000000000000000000000-444-400-44001−51+5−1+51−5−1−51+5−1+5−1−5001−5−1+5001+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-88008-800−2−25−2+252+25−2−252−25−2+252+252−2500−2−252+2500−2+252−25000000000000000000000000-444-400-44001+51−5−1−51+5−1+51−5−1−5−1+5001+5−1−5001−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-8800-8800−2+25−2−252−25−2+252+25−2−252−252+25002−25−2+25002+25−2−25000000000000000000000000-444-4004-4001−51+5−1+51−5−1−51+5−1+5−1−500−1+51−500−1−51+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-8800-8800−2−25−2+252+25−2−252−25−2+252+252−25002+25−2−25002−25−2+25000000000000000000000000-444-4004-4001+51−5−1−51+5−1+51−5−1−5−1+500−1−51+500−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000

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