Finite Group Databasebeta

← Group #13135932

Character table — Group #13135932

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size11111111111111111111111122222222222222222222222222222222222266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666363636363636363636363636363636363636363636363636
order122222223366666666666666444488888888121212121212121224242424242424242424242424242424333366666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424244444444412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111-1-11-1-1111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i
χ6111-1-11-1-1111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii
χ7111-1-11-1-1111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii
χ8111-1-11-1-1111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ91-1-11-111-111-1-1-1-111-1-11111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ101-1-11-111-111-1-1-1-111-1-11111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ111-1-11-111-111-1-1-1-111-1-11111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ121-1-11-111-111-1-1-1-111-1-11111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ131-1-1-111-1111-1-1-1-1-1-11111-1-1111-11-1ii−i−i−i−iii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ141-1-1-111-1111-1-1-1-1-1-11111-1-1111-11-1ii−i−i−i−iii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ151-1-1-111-1111-1-1-1-1-1-11111-1-1111-11-1−i−iiiii−i−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ161-1-1-111-1111-1-1-1-1-1-11111-1-1111-11-1−i−iiiii−i−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ172222222222222222222222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ212222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ222222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ232222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ242222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ25222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ26222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000033−3−333−3−333−3−3000033−3−333−3−333−3−3000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000000000000000
χ27222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-21111110000−3−333−3−333−3−3330000−3−333−3−333−3−3330000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000000000000000
χ28222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-2111133−3−3000033−3−3−3−33333−3−3000033−3−3−3−33333−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000000000000000
χ29222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000000000000000
χ30222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-21133−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000000000000000
χ31222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000000000000000
χ32222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2111111-2-2111111-2-233−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000000000000000
χ33222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000000000000000
χ34222-2-22-2-2222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ35222-2-22-2-2222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
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χ20066-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i30000−3232−323232−3232−3200000000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2016-666-6-6-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000−3i23i23i2−3i2−3i23i23i2−3i2000000003ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2026-666-6-6-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300003i2−3i2−3i23i23i2−3i2−3i23i200000000−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2036-666-6-6-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000−3i23i23i2−3i2−3i23i23i2−3i2000000003ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2046-666-6-6-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300003i2−3i2−3i23i23i2−3i2−3i23i200000000−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2056-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000−3i23i23i2−3i23i2−3i2−3i23i2000000003ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2066-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300003i2−3i2−3i23i2−3i23i23i2−3i200000000−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2076-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000−3i23i23i2−3i23i2−3i2−3i23i2000000003ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2086-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300003i2−3i2−3i23i2−3i23i23i2−3i200000000−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2096-6-66-666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3-6-666000000003+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2106-6-66-666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3-6-666000000003−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2116-6-6-666-66−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3-66-66000000003+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2126-6-6-666-66−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3-66-66000000003−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.