Finite Group Databasebeta

← Group #14418839

Character table — Group #14418839

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444446666666666666666666666666666888888888888888888888888888810101010121212121212121212121212121212121212121212121212121220202020202020202020202020203030303040404040606060606060
order1222444434444556661010101010101212121220202020202020204444121212121515202020202020202020202020202020202020202020202020303030303030606060606060606022444444444410101010101010102020202020202020121212126060606060606060606060606060606060606060606060608888442020202020202020202020202020202020202020202020208888882424242424242424888824242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ171111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−iii−i−iii−i−iii−i−ii−ii−ii−ii−ii−i
χ181111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−i−iii−i−iii−i−iii−ii−ii−ii−ii−ii
χ191111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i-11-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−iii−i−iii−i−i−i−iiii−ii−i−ii−ii−ii
χ201111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii-11-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−i−iii−i−iiiii−i−i−ii−iii−ii−ii−i
χ211111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii−iiii−i−iii−i−iii−i−i−ii−iii−i−ii−ii
χ221111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−ii−i−i−iii−i−iii−i−iiii−ii−i−iii−ii−i
χ231111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i-11-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i−ii−iiii−i−iii−i−i−i−iii−ii−ii−iii−ii−i
χ241111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii-11-1-1-1-111111111-1-1-1-11111-1-1-1-1−iii−ii−i−i−iii−i−iiiii−i−ii−ii−ii−i−ii−ii
χ251111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iiii−i−i−i−iiiii−i−ii−i−ii−iii−i−ii
χ261111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii-11-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−i−iiiii−i−i−i−iii−iii−ii−i−iii−i
χ271111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−iiii−i−i−i−iii−i−iiii−i−iii−i−iii−i
χ281111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−i−iiiii−i−iii−i−i−iii−i−iii−i−ii
χ291111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−iii−iii−i−i−i−iiiii−i−i−iii−i−ii−iii−i
χ301111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii-11-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−i−ii−i−iiiii−i−i−i−iiii−i−iii−ii−i−ii
χ311111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−iii−iii−i−i−i−iii−i−iii−iii−ii−ii−i−ii
χ321111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−i−ii−i−iiiii−i−iii−i−ii−i−ii−ii−iii−i
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χ1864-4-44−4i4i4i−4i40000−1−5−1+5-4-441+51−51+5−1−51−5−1+5−4i4i4i−4i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400000000−1−5−1+50000000000000000000000001+51−51+5−1−51−5−1+52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ940000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1874-4-44−4i4i4i−4i40000−1+5−1−5-4-441−51+51−5−1+51+5−1−5−4i4i4i−4i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000−1+5−1−50000000000000000000000001−51+51−5−1+51+5−1−52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1894-4-44−4i4i4i−4i-200004422-2-4-4-44-442i−2i−2i2i−4i4i4i−4i−4i4i4i−4i00000000-2-2000000000000000000000000222-22-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ10900000000000000
χ1904-4-44−4i4i4i−4i-200004422-2-4-4-44-442i−2i−2i2i−4i4i4i−4i−4i4i4i−4i00000000-2-2000000000000000000000000222-22-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ10900000000000000
χ19188-8-888-8-8-40000−2−25−2+25-444−2−25−2+252+252+252−252−25-4-444−2−25−2−252+252+25−2+25−2+252−252−25000000001+51−50000000000000000000000001+51−5−1−5−1−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19288-8-888-8-8-40000−2+25−2−25-444−2+25−2−252−252−252+252+25-4-444−2+25−2+252−252−25−2−25−2−252+252+25000000001−51+50000000000000000000000001−51+5−1+5−1+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19388-8-8-8-888-40000−2−25−2+25-444−2−25−2+252+252+252−252−2544-4-42+252+25−2−25−2−252−252−25−2+25−2+25000000001+51−50000000000000000000000001+51−5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19488-8-8-8-888-40000−2+25−2−25-444−2+25−2−252−252−252+252+2544-4-42−252−25−2+25−2+252+252+25−2−25−2−25000000001−51+50000000000000000000000001−51+5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-888i−8i−8i8i-40000−2−25−2+2544-42+252−252+25−2−252−25−2+25−4i4i4i−4i−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94000000001+51−5000000000000000000000000−1−5−1+5−1−51+5−1+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-8-888i−8i−8i8i-40000−2+25−2−2544-42−252+252−25−2+252+25−2−25−4i4i4i−4i−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118000000001−51+5000000000000000000000000−1+5−1−5−1+51−5−1−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8-88−8i8i8i−8i-40000−2−25−2+2544-42+252−252+25−2−252−25−2+254i−4i−4i4i4ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94000000001+51−5000000000000000000000000−1−5−1+5−1−51+5−1+51−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8-88−8i8i8i−8i-40000−2+25−2−2544-42−252+252−25−2+252+25−2−254i−4i−4i4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118000000001−51+5000000000000000000000000−1+5−1−5−1+51−5−1−51+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.