Finite Group Databasebeta

← Group #14304601

Character table — Group #14304601

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228
size1111111122222222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444441010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010102424242424242424242424242424242424242424120120120120
order122222223444444444444556666666101010101010101010101010101012121212121212121212121212121212121212121212121215152020202020202020202020202020202020202020202020203030303030303030303030303030606060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606060888888888888888824242424242424242424242424242424242424242424242424242424242424244444202020202020202020202020202020202244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ711111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ911-11-11-1-111-1ii−i−iii−i−i1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i
χ1011-11-11-1-111-1ii−i−iii−i−i1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii-11−ii
χ1111-11-11-1-111-1ii−i−iii−i−i1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii
χ1211-11-11-1-111-1ii−i−iii−i−i1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-11−ii-1-1-1-11111−i−i−i−iiiii1-1i−i
χ1311-11-11-1-111-1−i−iii−i−iii1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii
χ1411-11-11-1-111-1−i−iii−i−iii1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i-11i−i
χ1511-11-11-1-111-1−i−iii−i−iii1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−i
χ1611-11-11-1-111-1−i−iii−i−iii1-11111-1-11-1-111-1-1-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-11i−i-1-1-1-11111iiii−i−i−i−i1-1−ii
χ17222222222222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000000000000000000000000000000000000000002222−1−52−1−52−1+52−1+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
χ18222222222222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000000000000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ19222222222222222222222−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000000000000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ20222222222222222222222−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ2122222222222-2-2-2-2-2-2-2-222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200000000000000000000000000000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ2222222222222-2-2-2-2-2-2-2-222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000000000000000000000000000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ2322222222222-2-2-2-2-2-2-2-222−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200000000000000000000000000000000000000000000000022-2-2−1+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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χ48222-2-2-22-2-1002i−2i2i−2i00000022-11-111-11222-22-2-2-2-2-2-2-2223−33−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i33−33−3-1-1000000002i−2i2i−2i2i−2i2i−2i00000000-11-11-11-1111-11-1133−3−333−3−333−3−333−3−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3i2i2−i2−i2i2i2−i2−i2−2−222−2−222−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103000000000000000000000000
χ49222-2-2-22-2-1002i−2i2i−2i00000022-11-111-11222-22-2-2-2-2-2-2-222−33−33−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−33−33-1-1000000002i−2i2i−2i2i−2i2i−2i00000000-11-11-11-1111-11-11−3−333−3−333−3−333−3−333−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−i2−i2i2i2−i2−i2i2i222−2−222−2−2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119000000000000000000000000
χ50222-2-2-22-2-1002i−2i2i−2i00000022-11-111-11222-22-2-2-2-2-2-2-222−33−33−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−33−33-1-1000000002i−2i2i−2i2i−2i2i−2i00000000-11-11-11-1111-11-11−3−333−3−333−3−333−3−333−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3i2i2−i2−i2i2i2−i2−i2−2−222−2−222−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119000000000000000000000000
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χ1994-44-444-4-4-20000004i−4i4i−4i00−1+5−1−52-2-2222-21−51+5−1+51−5−1−51+51−51+5−1+5−1−5−1+5−1−51−51+523−23−23232i3−2i3−2i32i3−2i2i2i−2i2i3−2i3−2i32i3−2i2i2i−2i−232323−231−521+520000000000000000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+521−52−1−521+521−52−1+521+52−1−52−1+52−1−52−1+521−52−1−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000000000000000000000000000000000000000000000
χ2004-44-444-4-4-20000004i−4i4i−4i00−1+5−1−52-2-2222-21−51+5−1+51−5−1−51+51−51+5−1+5−1−5−1+5−1−51−51+5−232323−23−2i32i32i3−2i3−2i2i2i−2i−2i32i32i3−2i3−2i2i2i−2i23−23−23231−521+520000000000000000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+521−52−1−521+521−52−1+521+52−1−52−1+52−1−52−1+521−52−1−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000000000000000000000000000000000000000000000
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χ2244-4-4-4-4444-20000004-4-4400−1+5−1−52-22-22-221−51+51−5−1+51+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−2323−2323−232323−23-222-223−23−23232-2-2223−2323−231−521+520000000000000000−1+51−5−1−51+51−5−1+51+5−1−5−1+521−52−1−521+52−1+521−52−1−521+52−1+52−1−521−52−1+521+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ941−52−1+52−1+521−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1181+52−1−52−1−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−1+521−521−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−1−521+521+52−1−52000000000000000000000000000000000000000000000000000000000000000000000000
χ2254-4-4-4-4444-2000000-444-400−1−5−1+52-22-22-221+51−51+5−1−51−5−1+51+51−51+51−5−1−5−1+5−1−5−1+523−2323−23−232323−232-2-2223−23−2323-222-2−2323−23231+521−5200000000000000001+5−1−51−5−1+5−1−51+5−1+51−5−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1+521+52−1−521−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−1−521+521+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−1+521−521−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1181+52−1−52−1−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ941−52−1+52−1+521−52000000000000000000000000000000000000000000000000000000000000000000000000
χ2264-4-4-4-4444-2000000-444-400−1−5−1+52-22-22-221+51−51+5−1−51−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−2323−232323−23−23232-2-22−232323−23-222-223−2323−231+521−5200000000000000001+5−1−51−5−1+5−1−51+5−1+51−5−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1+521+52−1−521−52−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−1−521+521+52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−1+521−521−52−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1181+52−1−52−1−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ941−52−1+52−1+521−52000000000000000000000000000000000000000000000000000000000000000000000000
χ2274-4-4-4-4444-2000000-444-400−1+5−1−52-22-22-221−51+51−5−1+51+5−1−51−51+51−51+5−1+5−1−5−1+5−1−523−2323−23−232323−232-2-2223−23−2323-222-2−2323−23231−521+5200000000000000001−5−1+51+5−1−5−1+51−5−1−51+5−1+521−52−1−521+52−1+521−52−1−521+52−1+52−1−521−52−1+521+52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−1+521−521−52−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−1−521+521+52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ941−52−1+52−1+521−52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1181+52−1−52−1−521+52000000000000000000000000000000000000000000000000000000000000000000000000
χ2284-4-4-4-4444-2000000-444-400−1+5−1−52-22-22-221−51+51−5−1+51+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−2323−232323−23−23232-2-22−232323−23-222-223−2323−231−521+5200000000000000001−5−1+51+5−1−5−1+51−5−1−51+5−1+521−52−1−521+52−1+521−52−1−521+52−1+52−1−521−52−1+521+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−1+521−521−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−1−521+521+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ941−52−1+52−1+521−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1181+52−1−52−1−521+52000000000000000000000000000000000000000000000000000000000000000000000000

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