Finite Group Databasebeta

← Group #13135048

Character table — Group #13135048

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212123636363636363636363636365454545454545454
order12448888233466889991212121218181824242424242424243636363636367272727272727272727272723666669991212121212121818181818181818181818182424242424242424242424243636363636363636363636363636367272727272727272727272727272727272727272727272727272727272722466881212181818181818242424243636363636367272727272727272727272721616161648484848484848481616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111ii−i−iiiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111−i−iii−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1ii−i−i-111111i−i111-1-1-1-1111ii−i−iii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111i−ii−iiiii−i−i−i−i111111111-1-1-1-1-1-1iii−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1-111i−i-1-1111111ii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−iζ42+ζ138−ζ42−ζ138−ζ30−ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78
χ1011-1-1ii−i−i-111111i−i111-1-1-1-1111ii−i−iii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111i−ii−iiiii−i−i−i−i111111111-1-1-1-1-1-1iii−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1-111i−i-1-1111111ii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−ζ42−ζ138ζ42+ζ138ζ30+ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78
χ1111-1-1ii−i−i-111111i−i111-1-1-1-1111ii−i−iii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111i−ii−iiiii−i−i−i−i111111111-1-1-1-1-1-1iii−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-11-1-1−ii11-1-1-1-1-1-1−i−iii111111−i−i−i−i−i−iiiiiiiζ42+ζ138−ζ42−ζ138−ζ30−ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78
χ1211-1-1ii−i−i-111111i−i111-1-1-1-1111ii−i−iii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111i−ii−iiiii−i−i−i−i111111111-1-1-1-1-1-1iii−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-11-1-1−ii11-1-1-1-1-1-1−i−iii111111−i−i−i−i−i−iiiiiii−ζ42−ζ138ζ42+ζ138ζ30+ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78
χ1311-1-1−i−iii-111111−ii111-1-1-1-1111−i−iii−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111−ii−ii−i−i−i−iiiii111111111-1-1-1-1-1-1−i−i−iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1-111−ii-1-1111111−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−ζ30−ζ78ζ30+ζ78ζ42+ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138
χ1411-1-1−i−iii-111111−ii111-1-1-1-1111−i−iii−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111−ii−ii−i−i−i−iiiii111111111-1-1-1-1-1-1−i−i−iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1-111−ii-1-1111111−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiiiζ30+ζ78−ζ30−ζ78−ζ42−ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138
χ1511-1-1−i−iii-111111−ii111-1-1-1-1111−i−iii−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111−ii−ii−i−i−i−iiiii111111111-1-1-1-1-1-1−i−i−iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-11-1-1i−i11-1-1-1-1-1-1ii−i−i111111iiiiii−i−i−i−i−i−i−ζ30−ζ78ζ30+ζ78ζ42+ζ138−ζ42−ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138
χ1611-1-1−i−iii-111111−ii111-1-1-1-1111−i−iii−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111−ii−ii−i−i−i−iiiii111111111-1-1-1-1-1-1−i−i−iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-11-1-1i−i11-1-1-1-1-1-1ii−i−i111111iiiiii−i−i−i−i−i−iζ30+ζ78−ζ30−ζ78−ζ42−ζ138ζ42+ζ138ζ30+ζ78ζ30+ζ78−ζ30−ζ78−ζ30−ζ78−ζ42−ζ138−ζ42−ζ138ζ42+ζ138ζ42+ζ138−ζ30−ζ78−ζ30−ζ78ζ30+ζ78ζ30+ζ78ζ42+ζ138ζ42+ζ138−ζ42−ζ138−ζ42−ζ138
χ172222222222222222-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111-2-2-2-211111111111111111100000000000000000000
χ192222222222-122-122−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ8822-1-1−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88-1-1-1-12222−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88-12-1-1-1-1−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ882-1-1-1-1-1−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ8822-1-1-1-1-1-1-1-1-1-1−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ8+ζ40+ζ8822-1-122-1-1−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88-1-1-1-1−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ8800000000000000000000
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χ432222-2-2-2-222-122-1-2-2ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ10422-1-1ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ1041111-2-2-2-2ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104-12-1-1-1-1ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ1042-1-1-1-1-1ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104-2-21111111111ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ40+ζ104ζ40+ζ104-2-2112211−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104-1-1-1-1−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ10400000000000000000000
χ442222-2-2-2-222-122-1-2-2−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ10422-1-1−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ1041111-2-2-2-2−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104-12-1-1-1-1−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ1042-1-1-1-1-1−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104-2-21111111111−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ10422-1-1-2-2-1-1−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ1041111−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ10400000000000000000000
χ452222-2-2-2-222-122-1-2-2−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ10422-1-1−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ1041111-2-2-2-2−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104-12-1-1-1-1−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ1042-1-1-1-1-1−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104-2-21111111111−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104-2-2112211ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104-1-1-1-1ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ10400000000000000000000
χ462222-2-2-2-22-122-12-2-2222-1-122222-2-2-2-21111222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-111-2-211111111222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111111111110000000000000000000000000000000000002i2i−2i−2i−i−i−i−iiiii00000000
χ472222-2-2-2-22-122-12-2-2222-1-122222-2-2-2-21111222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-111-2-211111111222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111111111000000000000000000000000000000000000−2i−2i2i2iiiii−i−i−i−i00000000
χ482222-2-2-2-2-222-222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-22222222-2-222-2-222-2-2-2-2-2-2-2-2-2222222222222-2-222-2-222-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ492222-2-2-2-2-222-22222-1-1-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111112-2-2-2-22-1-1-1-2-2-2-222111111111-1-1-12222-2-222-2-222111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-100000000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000
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χ512222-2-2-2-2-22-1-22-122−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ8822-1-1−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ881111-2-2-2-2−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88-1-2111-1−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88-2111-1-1ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ8822-1-111-1-111-1-1ζ40+ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104ζ40+ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88−ζ40−ζ104−ζ40−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88ζ40+ζ104ζ40+ζ104−ζ40−ζ104−ζ40−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88−ζ8+ζ40+ζ88−ζ8+ζ40+ζ88ζ40+ζ104ζ40+ζ104−ζ40−ζ104−ζ40−ζ104−ζ8+ζ88−ζ104−ζ8+ζ88−ζ104ζ8−ζ88+ζ104ζ8−ζ88+ζ104ζ8−ζ40−ζ88ζ8−ζ40−ζ88−ζ8+ζ40+ζ88−ζ8+ζ40+ζ8800−i3i300−i3i3ζ40−ζ104−ζ40+ζ104ζ8+ζ88+ζ104−ζ8−ζ88−ζ104−ζ8−ζ40−ζ88ζ8+ζ40+ζ88i3−i3i3−i3ζ40−ζ104−ζ40+ζ104ζ8+ζ88+ζ104−ζ8−ζ88−ζ104−ζ8−ζ40−ζ88ζ8+ζ40+ζ88−ζ40+ζ104ζ40−ζ104−ζ8−ζ88−ζ104ζ8+ζ88+ζ104ζ8+ζ40+ζ88−ζ8−ζ40−ζ88−ζ40+ζ104ζ40−ζ104−ζ8−ζ88−ζ104ζ8+ζ88+ζ104ζ8+ζ40+ζ88−ζ8−ζ40−ζ8800000000000000000000
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χ1904-4−4i4i4ζ30+4ζ78−4ζ30−4ζ78−4ζ42−4ζ1384ζ42+4ζ1380-2-2022002ζ8−2ζ88+2ζ104−2ζ8+2ζ40+2ζ88−2ζ40−2ζ1042i−2i2i−2i−2ζ8+2ζ88−2ζ1042ζ8−2ζ40−2ζ882ζ40+2ζ104−2ζ30−2ζ782ζ30+2ζ782ζ42+2ζ138−2ζ42−2ζ138−2ζ30−2ζ782ζ30+2ζ782ζ42+2ζ138−2ζ42−2ζ138−2ζ44+2ζ124−2ζ1402ζ44−2ζ124+2ζ1402ζ44−2ζ76−2ζ124−2ζ44+2ζ76+2ζ1242ζ76+2ζ140−2ζ76−2ζ1402ζ14+2ζ62−2ζ142−2ζ14−2ζ62+2ζ142−2ζ62+2ζ94+2ζ1422ζ62−2ζ94−2ζ142−2ζ14−2ζ942ζ14+2ζ94−2ζ26+2ζ106−2ζ1222ζ26−2ζ106+2ζ1222ζ26−2ζ58−2ζ106−2ζ26+2ζ58+2ζ1062ζ58+2ζ122−2ζ58−2ζ122100-33-1−ζ8+ζ88−ζ104ζ8−ζ40−ζ88ζ40+ζ104003i−3i−ii000ζ8−2ζ40−ζ88−ζ104−ζ8+2ζ40+ζ88+ζ104ζ8+ζ40−ζ88+2ζ104−ζ8−ζ40+ζ88−2ζ104−2ζ8+ζ40+2ζ88−ζ1042ζ8−ζ40−2ζ88+ζ104ζ8−ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ1040000ζ30+ζ78−ζ30−ζ783ζ42+3ζ138−3ζ42−3ζ138−ζ42−ζ138ζ42+ζ138−3ζ30−3ζ783ζ30+3ζ78000−ζ44+2ζ76+ζ124+ζ140ζ44−2ζ76−ζ124−ζ140−ζ44−ζ76+ζ124−2ζ140ζ44+ζ76−ζ124+2ζ1402ζ44−ζ76−2ζ124+ζ140−2ζ44+ζ76+2ζ124−ζ140ζ44−ζ124+ζ140−ζ44+ζ124−ζ140−ζ44+ζ76+ζ124ζ44−ζ76−ζ124−ζ76−ζ140ζ76+ζ140000000−ζ14−ζ62+ζ142ζ14+ζ62−ζ142−ζ26+2ζ58+ζ106+ζ122ζ26−2ζ58−ζ106−ζ122ζ62−ζ94−ζ142−ζ62+ζ94+ζ142−ζ26−ζ58+ζ106−2ζ122ζ26+ζ58−ζ106+2ζ122ζ14+ζ94−ζ14−ζ942ζ26−ζ58−2ζ106+ζ122−2ζ26+ζ58+2ζ106−ζ122ζ26−ζ106+ζ122−ζ26+ζ106−ζ122−ζ14+ζ62−2ζ94−ζ142ζ14−ζ62+2ζ94+ζ142−ζ26+ζ58+ζ106ζ26−ζ58−ζ1062ζ14+ζ62+ζ94−ζ142−2ζ14−ζ62−ζ94+ζ142−ζ58−ζ122ζ58+ζ122−ζ14−2ζ62+ζ94+2ζ142ζ14+2ζ62−ζ94−2ζ14200000000000000000000000000000000000000000000000000000000
χ1914-4−4i4i4ζ30+4ζ78−4ζ30−4ζ78−4ζ42−4ζ1384ζ42+4ζ1380-2-202200−2ζ8+2ζ40+2ζ88−2ζ40−2ζ1042ζ8−2ζ88+2ζ1042i−2i2i−2i2ζ8−2ζ40−2ζ882ζ40+2ζ104−2ζ8+2ζ88−2ζ104−2ζ30−2ζ782ζ30+2ζ782ζ42+2ζ138−2ζ42−2ζ138−2ζ30−2ζ782ζ30+2ζ782ζ42+2ζ138−2ζ42−2ζ1382ζ44−2ζ76−2ζ124−2ζ44+2ζ76+2ζ1242ζ76+2ζ140−2ζ76−2ζ140−2ζ44+2ζ124−2ζ1402ζ44−2ζ124+2ζ140−2ζ62+2ζ94+2ζ1422ζ62−2ζ94−2ζ142−2ζ14−2ζ942ζ14+2ζ942ζ14+2ζ62−2ζ142−2ζ14−2ζ62+2ζ1422ζ26−2ζ58−2ζ106−2ζ26+2ζ58+2ζ1062ζ58+2ζ122−2ζ58−2ζ122−2ζ26+2ζ106−2ζ1222ζ26−2ζ106+2ζ1221003-3-1ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ10400−3i3i−ii000−ζ8−ζ40+ζ88−2ζ104ζ8+ζ40−ζ88+2ζ1042ζ8−ζ40−2ζ88+ζ104−2ζ8+ζ40+2ζ88−ζ104−ζ8+2ζ40+ζ88+ζ104ζ8−2ζ40−ζ88−ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ1040000ζ30+ζ78−ζ30−ζ78−3ζ42−3ζ1383ζ42+3ζ138−ζ42−ζ138ζ42+ζ1383ζ30+3ζ78−3ζ30−3ζ78000ζ44+ζ76−ζ124+2ζ140−ζ44−ζ76+ζ124−2ζ140−2ζ44+ζ76+2ζ124−ζ1402ζ44−ζ76−2ζ124+ζ140ζ44−2ζ76−ζ124−ζ140−ζ44+2ζ76+ζ124+ζ140−ζ44+ζ76+ζ124ζ44−ζ76−ζ124−ζ76−ζ140ζ76+ζ140ζ44−ζ124+ζ140−ζ44+ζ124−ζ140000000ζ62−ζ94−ζ142−ζ62+ζ94+ζ142ζ26+ζ58−ζ106+2ζ122−ζ26−ζ58+ζ106−2ζ122ζ14+ζ94−ζ14−ζ94−2ζ26+ζ58+2ζ106−ζ1222ζ26−ζ58−2ζ106+ζ122−ζ14−ζ62+ζ142ζ14+ζ62−ζ142ζ26−2ζ58−ζ106−ζ122−ζ26+2ζ58+ζ106+ζ122−ζ26+ζ58+ζ106ζ26−ζ58−ζ106−2ζ14−ζ62−ζ94+ζ1422ζ14+ζ62+ζ94−ζ142−ζ58−ζ122ζ58+ζ122ζ14+2ζ62−ζ94−2ζ142−ζ14−2ζ62+ζ94+2ζ142ζ26−ζ106+ζ122−ζ26+ζ106−ζ122ζ14−ζ62+2ζ94+ζ142−ζ14+ζ62−2ζ94−ζ14200000000000000000000000000000000000000000000000000000000
χ1924-4−4i4i4ζ30+4ζ78−4ζ30−4ζ78−4ζ42−4ζ1384ζ42+4ζ1380-2-202200−2ζ8+2ζ40+2ζ88−2ζ40−2ζ1042ζ8−2ζ88+2ζ1042i−2i2i−2i2ζ8−2ζ40−2ζ882ζ40+2ζ104−2ζ8+2ζ88−2ζ104−2ζ30−2ζ782ζ30+2ζ782ζ42+2ζ138−2ζ42−2ζ138−2ζ30−2ζ782ζ30+2ζ782ζ42+2ζ138−2ζ42−2ζ1382ζ44−2ζ76−2ζ124−2ζ44+2ζ76+2ζ1242ζ76+2ζ140−2ζ76−2ζ140−2ζ44+2ζ124−2ζ1402ζ44−2ζ124+2ζ140−2ζ62+2ζ94+2ζ1422ζ62−2ζ94−2ζ142−2ζ14−2ζ942ζ14+2ζ942ζ14+2ζ62−2ζ142−2ζ14−2ζ62+2ζ1422ζ26−2ζ58−2ζ106−2ζ26+2ζ58+2ζ1062ζ58+2ζ122−2ζ58−2ζ122−2ζ26+2ζ106−2ζ1222ζ26−2ζ106+2ζ122100-33-1ζ8−ζ40−ζ88ζ40+ζ104−ζ8+ζ88−ζ104003i−3i−ii000ζ8+ζ40−ζ88+2ζ104−ζ8−ζ40+ζ88−2ζ104−2ζ8+ζ40+2ζ88−ζ1042ζ8−ζ40−2ζ88+ζ104ζ8−2ζ40−ζ88−ζ104−ζ8+2ζ40+ζ88+ζ104−ζ8+ζ40+ζ88−ζ40−ζ104ζ8−ζ88+ζ1040000ζ30+ζ78−ζ30−ζ783ζ42+3ζ138−3ζ42−3ζ138−ζ42−ζ138ζ42+ζ138−3ζ30−3ζ783ζ30+3ζ78000−ζ44−ζ76+ζ124−2ζ140ζ44+ζ76−ζ124+2ζ1402ζ44−ζ76−2ζ124+ζ140−2ζ44+ζ76+2ζ124−ζ140−ζ44+2ζ76+ζ124+ζ140ζ44−2ζ76−ζ124−ζ140−ζ44+ζ76+ζ124ζ44−ζ76−ζ124−ζ76−ζ140ζ76+ζ140ζ44−ζ124+ζ140−ζ44+ζ124−ζ140000000ζ62−ζ94−ζ142−ζ62+ζ94+ζ142−ζ26−ζ58+ζ106−2ζ122ζ26+ζ58−ζ106+2ζ122ζ14+ζ94−ζ14−ζ942ζ26−ζ58−2ζ106+ζ122−2ζ26+ζ58+2ζ106−ζ122−ζ14−ζ62+ζ142ζ14+ζ62−ζ142−ζ26+2ζ58+ζ106+ζ122ζ26−2ζ58−ζ106−ζ122−ζ26+ζ58+ζ106ζ26−ζ58−ζ1062ζ14+ζ62+ζ94−ζ142−2ζ14−ζ62−ζ94+ζ142−ζ58−ζ122ζ58+ζ122−ζ14−2ζ62+ζ94+2ζ142ζ14+2ζ62−ζ94−2ζ142ζ26−ζ106+ζ122−ζ26+ζ106−ζ122−ζ14+ζ62−2ζ94−ζ142ζ14−ζ62+2ζ94+ζ14200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 144 (ζ144 = 1); i = ζ36.