Finite Group Databasebeta

← Group #14417798

Character table — Group #14417798

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111122222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444466666666121212121212121212121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order122222344445566688881010101010101212121220202020202020204040404040404040404040404040404066881010101012121515202020202424242424242424303030303030303030303030303040404040404040406060606060606060606060606060606012012012012012012012012012012012012012012012012012012012012012012012012012012012012012012012012044444444888820202020202020202020202020202020404040404040404040404040404040402222444466661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111
χ71111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-111-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1111111-1-1-1-1
χ91111-1-11-1-111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ101111-1-11-1-111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ111111-1-11-1-111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ121111-1-11-1-111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-111-1-1
χ131111-1-11-1-11111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ141111-1-11-1-11111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ151111-1-11-1-11111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ161111-1-11-1-11111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1711-1-11-111-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-11-11-11-11-1i−ii−ii−ii−i
χ1811-1-11-111-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11-11-11-11-11−ii−ii−ii−ii
χ1911-1-11-111-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-11-11-11-11-1−ii−ii−ii−ii
χ2011-1-11-111-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11-11-11-11-11i−ii−ii−ii−i
χ2111-1-11-111-11-111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-111-1-111-1-111-1-11i−ii−i−ii−ii
χ2211-1-11-111-11-111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-111-1-111-1-111-1-111-1−ii−iii−ii−i
χ2311-1-11-111-11-111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-111-1-111-1-111-1-11−ii−iii−ii−i
χ2411-1-11-111-11-111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-111-1-111-1-111-1-111-1i−ii−i−ii−ii
χ2511-1-1-111-111-111-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiii−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11-111-11-1-11-111-1i−i−iii−i−ii
χ2611-1-1-111-111-111-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiii−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-11-1-11-111-11-1-11−iii−i−iii−i
χ2711-1-1-111-111-111-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-11-1-11-111-1−iii−i−iii−i
χ2811-1-1-111-111-111-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11-111-11-1-11i−i−iii−i−ii
χ2911-1-1-111-111-111-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-11-1-11-111-11-1-11-11i−i−ii−iii−i
χ3011-1-1-111-111-111-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-111-11-1-11-111-11-1−iii−ii−i−ii
χ3111-1-1-111-111-111-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-1-11-111-11-1-11-11−iii−ii−i−ii
χ3211-1-1-111-111-111-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-111-11-1-11-111-11-1i−i−ii−iii−i
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χ2124-4-4400-20000−1+5−1−52-22−2i22i22i2−2i21−51+51−5−1+51+5−1−5−232323−23−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1032ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ53−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ103−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ5300000000001−521+520000i2−i2−i2i2i6−i6−i6i6−1+521−52−1−521+52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−1+52−1−5200000000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ103ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ53−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ103−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ5300000000000000000000000000000000000000000000000000000000000000000000
χ2134-4-4400-20000−1+5−1−52-222i2−2i2−2i22i21−51+51−5−1+51+5−1−523−23−23232ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ53−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ1032ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ532ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ10300000000001−521+520000−i2i2i2−i2i6−i6−i6i6−1+521−52−1−521+52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−1+52−1−5200000000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ53−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ103ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ53ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ10300000000000000000000000000000000000000000000000000000000000000000000
χ2144-4-4400-20000−1+5−1−52-222i2−2i2−2i22i21−51+51−5−1+51+5−1−523−23−2323−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ103−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ532ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1032ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ5300000000001−521+520000−i2i2i2−i2i6−i6−i6i6−1+521−52−1−521+52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−1+52−1−5200000000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ103ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ53−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ103−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ5300000000000000000000000000000000000000000000000000000000000000000000
χ2154-4-4400-20000−1+5−1−52-222i2−2i2−2i22i21−51+51−5−1+51+5−1−5−232323−232ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ53−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ1032ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ532ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ10300000000001−521+520000−i2i2i2−i2−i6i6i6−i6−1+521−52−1−521+52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−1+52−1−5200000000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ53ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ103−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ53−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ10300000000000000000000000000000000000000000000000000000000000000000000
χ2164-4-4400-20000−1+5−1−52-222i2−2i2−2i22i21−51+51−5−1+51+5−1−5−232323−23−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ29−2ζ31−2ζ71−2ζ1092ζ29+2ζ31+2ζ71+2ζ109−2ζ61−2ζ79−2ζ101−2ζ1192ζ61+2ζ79+2ζ101+2ζ119−2ζ23−2ζ37−2ζ77−2ζ1032ζ23+2ζ37+2ζ77+2ζ103−2ζ7−2ζ13−2ζ47−2ζ532ζ7+2ζ13+2ζ47+2ζ532ζ29+2ζ31+2ζ71+2ζ109−2ζ29−2ζ31−2ζ71−2ζ1092ζ61+2ζ79+2ζ101+2ζ119−2ζ61−2ζ79−2ζ101−2ζ1192ζ23+2ζ37+2ζ77+2ζ103−2ζ23−2ζ37−2ζ77−2ζ1032ζ7+2ζ13+2ζ47+2ζ53−2ζ7−2ζ13−2ζ47−2ζ5300000000001−521+520000−i2i2i2−i2−i6i6i6−i6−1+521−52−1−521+52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−1+52−1−5200000000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ103−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ53ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ103ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ5300000000000000000000000000000000000000000000000000000000000000000000

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