Finite Group Databasebeta

← Group #13086810

Character table — Group #13086810

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444101010101010101010101010101010101010101010101010101010101010101010101010181818181818181818181818181818181818181890909090
order1222444433335566666666666610101010101012121212121212121212121212121212202020202020202015151515151515153030303030303030303030303030303030303030303030306060606060606060606060606060606060606060606060606060606060606060444412121212121212121212121212121212121212121212121212121212121212124444202020202020202020202020202020202244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ71111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ81111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-1
χ101-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11
χ111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11
χ121-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ131-1-11-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iiiiii−i−i−i−i−i−i−i−iiiii1-1-11
χ141-1-11-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−i−i−i−iiiiiiiii−i−i−i−i-111-1
χ151-1-11-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iiiiii−i−i−i−i−i−i−i−iiiii-111-1
χ161-1-11-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11
χ17222222222222−1−52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+522222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000000000000000000000000000002222−1−52−1−52−1+52−1+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
χ18222222222222−1−52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+522222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ19222222222222−1+52−1−52222222222222−1+52−1−52−1+52−1+52−1−52−1−522222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ20222222222222−1+52−1−52222222222222−1+52−1−52−1+52−1+52−1−52−1−522222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ21222222222-1-1-1222-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000
χ22222222222-1-1-1222-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000
χ2322222222-12-1-122-12-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-122222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000
χ2422222222-12-1-122-12-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-122222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000
χ2522222222-1-12-122-1-12-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-1-1-122-1-122222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000
χ2622222222-1-12-122-1-12-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-1-1-122-1-122222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000
χ2722222222-1-1-1222-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-12222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000
χ2822222222-1-1-1222-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-12222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000
χ292222-2-2-2-22222−1−52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200000000000000000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ302222-2-2-2-22222−1−52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000000000000000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ312222-2-2-2-22222−1+52−1−52222222222222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200000000000000000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
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χ1634-44-4−4i4i4i−4i-2-2-24−1−5−1+5222-42-22-22-2-441+51−51+5−1−51−5−1+52i−2i2i−2i2i−2i−4i4i−2i2i−2i2i−2i2i4i−4i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521+521+52−1−51−521−521−52−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000
χ1644-44-4−4i4i4i−4i-2-2-24−1+5−1−5222-42-22-22-2-441−51+51−5−1+51+5−1−52i−2i2i−2i2i−2i−4i4i−2i2i−2i2i−2i2i4i−4i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521−521−52−1+51+521+521+52−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000
χ1654-4-4444-4-44-2-2-2−1−5−1+54-2-2-2-4-4222222−1−5−1+51+51+51−51−544-2-2-2-2-2-2-4-4222222−1−5−1−5−1+5−1+51+51+51−51−5−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000000000
χ1664-4-4444-4-44-2-2-2−1+5−1−54-2-2-2-4-4222222−1+5−1−51−51−51+51+544-2-2-2-2-2-2-4-4222222−1+5−1+5−1−5−1−51−51−51+51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000000000
χ1674-4-4444-4-4-24-2-2−1−5−1+5-24-2-222-4-42222−1−5−1+51+51+51−51−5-2-244-2-2-2-222-4-42222−1−5−1−5−1+5−1+51+51+51−51−51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+52−1−51+521+521−52−1+51−521−521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000000000
χ1684-4-4444-4-4-24-2-2−1+5−1−5-24-2-222-4-42222−1+5−1−51−51−51+51+5-2-244-2-2-2-222-4-42222−1+5−1+5−1−5−1−51−51−51+51+51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000000000
χ1694-4-4444-4-4-2-24-2−1−5−1+5-2-24-22222-4-422−1−5−1+51+51+51−51−5-2-2-2-244-2-22222-4-422−1−5−1−5−1+5−1+51+51+51−51−51+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+52−1−51+521−521−52−1+51−521+521+521+521+52−1−5−1−51+521+521−521−521−521−52−1+5−1+51−521−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+52000000000000000000000000000000000000000000000000000000000000
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χ1764-4-44-4-444-24-2-2−1+5−1−5-24-2-222-4-42222−1+5−1−51−51−51+51+522-4-42222-2-244-2-2-2-21−51−51+51+5−1+5−1+5−1−5−1−51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+52000000000000000000000000000000000000000000000000000000000000
χ1774-4-44-4-444-2-24-2−1−5−1+5-2-24-22222-4-422−1−5−1+51+51+51−51−52222-4-422-2-2-2-244-2-21+51+51−51−5−1−5−1−5−1+5−1+51+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+521+521+52−1−5−1−51+521+521−521−521−521−52−1+5−1+51−521−52000000000000000000000000000000000000000000000000000000000000
χ1784-4-44-4-444-2-24-2−1+5−1−5-2-24-22222-4-422−1+5−1−51−51−51+51+52222-4-422-2-2-2-244-2-21−51−51+51+5−1+5−1+5−1−5−1−51−521−52−1+51−521+521+52−1−51+52−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−521−521−52−1+51−521+521+52−1−51+52−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−521−521−521−521−52−1+5−1+51−521−521+521+521+521+52−1−5−1−51+521+52000000000000000000000000000000000000000000000000000000000000
χ1794-4-44-4-444-2-2-24−1−5−1+5-2-2-24222222-4-4−1−5−1+51+51+51−51−5222222-4-4-2-2-2-2-2-2441+51+51−51−5−1−5−1−5−1+5−1+51+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−51+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−51+521+521+521+521+521+52−1−5−1−51−521−521−521−521−521−52−1+5−1+5000000000000000000000000000000000000000000000000000000000000
χ1804-4-44-4-444-2-2-24−1+5−1−5-2-2-24222222-4-4−1+5−1−51−51−51+51+5222222-4-4-2-2-2-2-2-2441−51−51+51+5−1+5−1+5−1−5−1−51−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+51−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+51−521−521−521−521−521−52−1+5−1+51+521+521+521+521+521+52−1−5−1−5000000000000000000000000000000000000000000000000000000000000

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