Finite Group Databasebeta

← Group #14294791

Character table — Group #14294791

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222444444444444444444444444444444444444444444445555888888888888888888888888888888881010101010101010101010101010121212121212121220202020202020202020202020202020242424242424242424242424242424246060606060606060
order12222234444556666666101010101010444410101010121212121212121212121212151520202020202020203030303030303030303030303030444420202020202020206060606060606060606060606060606060606060606060602222441212121212121212888888884444666612121212121212124040404040404040404040404040404088888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i11-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iii11-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ121111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ131111111-1-1-1-1111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111ii−i−i−i−iii-1-111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111-1-1-1-1111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111−i−iiiii−i−i-1-111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111-1-1-1-1111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111-1-1-1-1111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171-11-11-111-11-11111-1-1-11-1-1-111-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-11111-1-1-1-11-11-1i−ii−ii−ii−i11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181-11-11-111-11-11111-1-1-11-1-1-111-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-11111-1-1-1-1-11-11−ii−iii−ii−i11-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ191-11-11-111-11-11111-1-1-11-1-1-111-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11-1-1-1-111111-11-1i−ii−i−ii−ii-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201-11-11-111-11-11111-1-1-11-1-1-111-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11-1-1-1-11111-11-11−ii−ii−ii−ii-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211-11-11-111-11-11111-1-1-11-1-1-111-1-1−ii−ii11-1-1−i−iii−i−iii11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-11111-1-1-1-11-11-1−ii−ii−ii−ii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ221-11-11-111-11-11111-1-1-11-1-1-111-1-1−ii−ii11-1-1−i−iii−i−iii11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-11111-1-1-1-1-11-11i−ii−i−ii−ii11-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ231-11-11-111-11-11111-1-1-11-1-1-111-1-1−ii−ii11-1-1−i−iii−i−iii11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11-1-1-1-111111-11-1−ii−iii−ii−i-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ241-11-11-111-11-11111-1-1-11-1-1-111-1-1−ii−ii11-1-1−i−iii−i−iii11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11-1-1-1-11111-11-11i−ii−ii−ii−i-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ251-11-11-11-11-111111-1-1-11-1-1-111-1-1i−i−ii11-1-1ii−i−i−i−iii-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-11111-1-1-1-1i−i−ii-111-1i−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1i−i−ii-111-1
χ261-11-11-11-11-111111-1-1-11-1-1-111-1-1i−i−ii11-1-1ii−i−i−i−iii-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-11111-1-1-1-1−iii−i1-1-11i−i−ii-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−iii−i1-1-11
χ271-11-11-11-11-111111-1-1-11-1-1-111-1-1i−i−ii11-1-1ii−i−i−i−iii-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11-1-1-1-11111i−i−ii-111-1−iii−i11-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−iii−i1-1-11
χ281-11-11-11-11-111111-1-1-11-1-1-111-1-1i−i−ii11-1-1ii−i−i−i−iii-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11-1-1-1-11111−iii−i1-1-11−iii−i11-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111i−i−ii-111-1
χ291-11-11-11-11-111111-1-1-11-1-1-111-1-1−iii−i11-1-1−i−iiiii−i−i-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-11111-1-1-1-1i−i−ii1-1-11−iii−i-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111i−i−ii1-1-11
χ301-11-11-11-11-111111-1-1-11-1-1-111-1-1−iii−i11-1-1−i−iiiii−i−i-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-11111-1-1-1-1−iii−i-111-1−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−iii−i-111-1
χ311-11-11-11-11-111111-1-1-11-1-1-111-1-1−iii−i11-1-1−i−iiiii−i−i-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11-1-1-1-11111i−i−ii1-1-11i−i−ii11-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−iii−i-111-1
χ321-11-11-11-11-111111-1-1-11-1-1-111-1-1−iii−i11-1-1−i−iiiii−i−i-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11-1-1-1-11111−iii−i-111-1i−i−ii11-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-11
χ3322222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52222222222222−1−52−1+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+52−1−52−1+52−1−52−1+520000−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000222222220000000000000000−1−52−1+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+5200000000
χ3422222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52222222222222−1−52−1+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+52−1−52−1+52−1−52−1+520000−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000-2-2-2-2-2-2-2-200000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000
χ3522222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+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+52−1−52−1+52−1−52−1+5200001+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000002222-2-2-2-20000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000
χ3622222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+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+52−1−52−1+52−1−52−1+5200001+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000-2-2-2-2222200000000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ3722222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52222222222222−1+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+52−1−52−1−52−1−52−1+52−1−52−1+52−1−520000−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000222222220000000000000000−1+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+52−1−5200000000
χ3822222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52222222222222−1+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+52−1−52−1−52−1−52−1+52−1−52−1+52−1−520000−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000-2-2-2-2-2-2-2-200000000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000
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χ1384-44-44-4-2-44-44−1+5−1−5-2-2222-221−51+5−1+5−1−51−51+5−4i4i4i−4i−1+5−1−51−51+52i2i−2i−2i−2i−2i2i2i22-2-21−521+521−51+5−1+5−1−51−51+5−1+5−1−51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−5200002ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000000000000000000000000000000000000000
χ1394-44-4-44444-4-4−1−5−1+5-4-444-44-41+51−5−1−5−1+51+51−500001+51−5−1−5−1+5000000004-4-44−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−5000000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-44-4-44444-4-4−1+5−1−5-4-444-44-41−51+5−1+5−1−51−51+500001−51+5−1+5−1−5000000004-4-44−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51−51+51+51−5−1+5−1+51+5−1−5−1−5−1+5−1−51−51+5000000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-44-4-444-4-444−1−5−1+5-4-444-44-41+51−5−1−5−1+51+51−500001+51−5−1−5−1+500000000-444-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−50000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-44-4-444-4-444−1+5−1−5-4-444-44-41−51+5−1+5−1−51−51+500001−51+5−1+5−1−500000000-444-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51−51+51+51−5−1+5−1+51+5−1−5−1−5−1+5−1−51−51+50000000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-44-4-44-244-4-4−1−5−1+522-2-22-221+51−5−1−5−1+51+51−500001+51−5−1−5−1+523−23−232323−23−2323-222-21+521−52−1−5−1+5−1−5−1+51+51−51+51−5−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−521+521−52−1−52−1+520000000000001+52−1−521−52−1+52−1−521+52−1+521−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000000000000000000000000000000000000
χ1444-44-4-44-244-4-4−1−5−1+522-2-22-221+51−5−1−5−1+51+51−500001+51−5−1−5−1+5−232323−23−232323−23-222-21+521−52−1−5−1+5−1−5−1+51+51−51+51−5−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−521+521−52−1−52−1+520000000000001+52−1−521−52−1+52−1−521+52−1+521−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000000000000000000000000000000000000
χ1454-44-4-44-244-4-4−1+5−1−522-2-22-221−51+5−1+5−1−51−51+500001−51+5−1+5−1−523−23−232323−23−2323-222-21−521+52−1+5−1−5−1+5−1−51−51+51−51+5−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+521−521+52−1+52−1−520000000000001−52−1+521+52−1−52−1+521−52−1−521+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000000000000000000000000000000000000
χ1464-44-4-44-244-4-4−1+5−1−522-2-22-221−51+5−1+5−1−51−51+500001−51+5−1+5−1−5−232323−23−232323−23-222-21−521+52−1+5−1−5−1+5−1−51−51+51−51+5−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+521−521+52−1+52−1−520000000000001−52−1+521+52−1−52−1+521−52−1−521+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000000000000000000000000000000000
χ1474-44-4-44-2-4-444−1−5−1+522-2-22-221+51−5−1−5−1+51+51−500001+51−5−1−5−1+523−23−2323−232323−232-2-221+521−521+51−51+51−5−1−5−1+5−1−5−1+5−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−521+521−52−1−52−1+52000000000000−1−521+52−1+521−521+52−1−521−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000000000000000000000000000000000000
χ1484-44-4-44-2-4-444−1−5−1+522-2-22-221+51−5−1−5−1+51+51−500001+51−5−1−5−1+5−232323−2323−23−23232-2-221+521−521+51−51+51−5−1−5−1+5−1−5−1+5−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−521+521−52−1−52−1+52000000000000−1−521+52−1+521−521+52−1−521−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000000000000000000000000000000000000
χ1494-44-4-44-2-4-444−1+5−1−522-2-22-221−51+5−1+5−1−51−51+500001−51+5−1+5−1−523−23−2323−232323−232-2-221−521+521−51+51−51+5−1+5−1−5−1+5−1−5−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+521−521+52−1+52−1−52000000000000−1+521−52−1−521+521−52−1+521+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000000000000000000000000000000000
χ1504-44-4-44-2-4-444−1+5−1−522-2-22-221−51+5−1+5−1−51−51+500001−51+5−1+5−1−5−232323−2323−23−23232-2-221−521+521−51+51−51+5−1+5−1−5−1+5−1−5−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+521−521+52−1+52−1−52000000000000−1+521−52−1−521+521−52−1+521+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000000000000000000000000000000000000
χ1514-4-440040000440000-4-4444-4-4-4-40000000000000000000044000000000000400400-4-4-4-44i−4i−4i4i000000000000000000000000000000000000004i−4i00−4i4i00000000000000000000000000000000000000000000000000
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χ1534-4-4400-2000044−2i32i32i3−2i322-244-4-4-4-400000000000000000000-2-200000000−2i32i3−2i32i3-22i3−2i3-22i3−2i322224i−4i−4i4i00000000000000000000000000000000000000−2i2i23−232i−2i−2323000000000000000000000000000000000000000000000000
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χ1564-4-4400-20000442i3−2i3−2i32i322-244-4-4-4-400000000000000000000-2-2000000002i3−2i32i3−2i3-2−2i32i3-2−2i32i32222−4i4i4i−4i000000000000000000000000000000000000002i−2i23−23−2i2i−2323000000000000000000000000000000000000000000000000
χ15788-8-80080000−2−25−2+2500008-8-82+252−252+252−25−2−25−2+2500000000000000000000−2−25−2+250000000000002+25002−25002+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-80080000−2+25−2−2500008-8-82−252+252−252+25−2+25−2−2500000000000000000000−2+25−2−250000000000002−25002+25002−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15988-8-800-40000−2−25−2+25−4i34i3−4i34i3-4442+252−252+252−25−2−25−2+25000000000000000000001+51−5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16088-8-800-40000−2−25−2+254i3−4i34i3−4i3-4442+252−252+252−25−2−25−2+25000000000000000000001+51−500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16188-8-800-40000−2+25−2−25−4i34i3−4i34i3-4442−252+252−252+25−2+25−2−25000000000000000000001−51+5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16288-8-800-40000−2+25−2−254i3−4i34i3−4i3-4442−252+252−252+25−2+25−2−25000000000000000000001−51+500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1638-8-880080000−2−25−2+250000-8-88−2−25−2+252+252−252+252−2500000000000000000000−2−25−2+25000000000000−2−2500−2+25002+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-8-880080000−2+25−2−250000-8-88−2+25−2−252−252+252−252+2500000000000000000000−2+25−2−25000000000000−2+2500−2−25002−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-8-8800-40000−2−25−2+25−4i34i34i3−4i344-4−2−25−2+252+252−252+252−25000000000000000000001+51−5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ581+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ461−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-8-8800-40000−2−25−2+254i3−4i3−4i34i344-4−2−25−2+252+252−252+252−25000000000000000000001+51−500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ581+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ461−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-8800-40000−2+25−2−25−4i34i34i3−4i344-4−2+25−2−252−252+252−252+25000000000000000000001−51+5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ461−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ581+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-8800-40000−2+25−2−254i3−4i3−4i34i344-4−2+25−2−252−252+252−252+25000000000000000000001−51+500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ461−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ581+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.