Finite Group Databasebeta

← Group #14307411

Character table — Group #14307411

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240
size111111112222222222222222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888830303030303030303030303030303030120120120120
order12224444223444444444455666101010101010121212121515151520202020202020203030303030303030303030306060606060606060606060606060606066101010101212121212121212121220202020202020202020202020202020202020203030303030303030606060606060606060606060606060606060606060606060606060606060606060606060606060604444121212121212121220202020202020202020202020202020606060606060606060606060606060606060606060606060606060606060606044444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131111-1-1-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ141111-1-1-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ151111-1-1-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i
χ161111-1-1-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ17222222222222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000
χ18222222222222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2-2-2-2-21+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+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000
χ19222222222222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ20222222222222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000
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χ1052222-2-2-2-2-2-22222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521−521−52222222-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-22-222-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000000
χ1062222-2-2-2-2-2-22222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521−521−52222222-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-22-22-2-222-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000
χ1072222-2-2-2-2-2-22222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521+521+52222222-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+522-22-222-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000000000
χ1082222-2-2-2-2-2-22222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521+521+52222222-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52-22-22-2-222-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ1092222-2-2-2-2-2-2222-2-2-2-22222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521−521−5222-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+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+522-2-2222-2-2-2-222−1−52−1−52−1+52−1+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+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+5200000000000000000000
χ1102222-2-2-2-2-2-2222-2-2-2-22222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521−521−5222-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+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+52-222-2-2-22222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5200000000000000000000
χ1112222-2-2-2-2-2-2222-2-2-2-22222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521+521+5222-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522-2-2222-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ1122222-2-2-2-2-2-2222-2-2-2-22222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521+521+5222-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-222-2-2-22222-2-21−521−521+521+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+52−1+52−1+52−1+52−1+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+5200000000000000000000
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χ1142222-2-2-2-2-2-2-1222222-2-2-2-222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-2-2-2-2-1-1-1-1-1-11111222222222222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-22-2211-1-111-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000
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χ2314-4-44−4i4i4i−4i00-2004i−4i00-44004422-2-4-4-44-442i−2i−2i2i-2-2-2-2−4i4i4i−4i−4i4i4i−4i22222-22-22-22-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000−2i2i002-20000004i−4i004i−4i00-4400-44000000000000000000−2i2i00−2i2i00−2i2i00−2i2i002-2002-2002-2002-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2324-4-44−4i4i4i−4i00-2004i−4i00-4400−1−5−1+522-21+51−51+5−1−51−5−1+52i−2i−2i2i−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ462ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ58−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ4700000000−2i2i002-2000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47001+5−1−5001−5−1+50000000000000000002ζ11+2ζ19−2ζ11−2ζ19002ζ31+2ζ59−2ζ31−2ζ59002ζ7+2ζ23−2ζ7−2ζ23002ζ43+2ζ47−2ζ43−2ζ47002ζ26+2ζ34−2ζ26−2ζ34002ζ14+2ζ46−2ζ14−2ζ46002ζ22+2ζ38−2ζ22−2ζ38002ζ2+2ζ58−2ζ2−2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2334-4-44−4i4i4i−4i00-2004i−4i00-4400−1−5−1+522-21+51−51+5−1−51−5−1+52i−2i−2i2i−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ38−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000−2i2i002-2000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47001+5−1−5001−5−1+50000000000000000002ζ31+2ζ59−2ζ31−2ζ59002ζ11+2ζ19−2ζ11−2ζ19002ζ43+2ζ47−2ζ43−2ζ47002ζ7+2ζ23−2ζ7−2ζ23002ζ14+2ζ46−2ζ14−2ζ46002ζ26+2ζ34−2ζ26−2ζ34002ζ2+2ζ58−2ζ2−2ζ58002ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2344-4-44−4i4i4i−4i00-2004i−4i00-4400−1+5−1−522-21−51+51−5−1+51+5−1−52i−2i−2i2i−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ34−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000−2i2i002-2000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59001−5−1+5001+5−1−50000000000000000002ζ7+2ζ23−2ζ7−2ζ23002ζ43+2ζ47−2ζ43−2ζ47002ζ31+2ζ59−2ζ31−2ζ59002ζ11+2ζ19−2ζ11−2ζ19002ζ22+2ζ38−2ζ22−2ζ38002ζ2+2ζ58−2ζ2−2ζ58002ζ14+2ζ46−2ζ14−2ζ46002ζ26+2ζ34−2ζ26−2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2354-4-44−4i4i4i−4i00-2004i−4i00-4400−1+5−1−522-21−51+51−5−1+51+5−1−52i−2i−2i2i−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ462ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ46−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ5900000000−2i2i002-2000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59001−5−1+5001+5−1−50000000000000000002ζ43+2ζ47−2ζ43−2ζ47002ζ7+2ζ23−2ζ7−2ζ23002ζ11+2ζ19−2ζ11−2ζ19002ζ31+2ζ59−2ζ31−2ζ59002ζ2+2ζ58−2ζ2−2ζ58002ζ22+2ζ38−2ζ22−2ζ38002ζ26+2ζ34−2ζ26−2ζ34002ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2364-4-44−4i4i4i−4i00-200−4i4i004-4004422-2-4-4-44-442i−2i−2i2i-2-2-2-2−4i4i4i−4i−4i4i4i−4i22222-22-22-22-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000002i−2i00-22000000−4i4i00−4i4i004-4004-40000000000000000002i−2i002i−2i002i−2i002i−2i00-2200-2200-2200-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2374-4-44−4i4i4i−4i00-200−4i4i004-400−1−5−1+522-21+51−51+5−1−51−5−1+52i−2i−2i2i−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ462ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ58−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47000000002i−2i00-220000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700−1−51+500−1+51−5000000000000000000−2ζ11−2ζ192ζ11+2ζ1900−2ζ31−2ζ592ζ31+2ζ5900−2ζ7−2ζ232ζ7+2ζ2300−2ζ43−2ζ472ζ43+2ζ4700−2ζ26−2ζ342ζ26+2ζ3400−2ζ14−2ζ462ζ14+2ζ4600−2ζ22−2ζ382ζ22+2ζ3800−2ζ2−2ζ582ζ2+2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2384-4-44−4i4i4i−4i00-200−4i4i004-400−1−5−1+522-21+51−51+5−1−51−5−1+52i−2i−2i2i−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ38−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000002i−2i00-220000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700−1−51+500−1+51−5000000000000000000−2ζ31−2ζ592ζ31+2ζ5900−2ζ11−2ζ192ζ11+2ζ1900−2ζ43−2ζ472ζ43+2ζ4700−2ζ7−2ζ232ζ7+2ζ2300−2ζ14−2ζ462ζ14+2ζ4600−2ζ26−2ζ342ζ26+2ζ3400−2ζ2−2ζ582ζ2+2ζ5800−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2394-4-44−4i4i4i−4i00-200−4i4i004-400−1+5−1−522-21−51+51−5−1+51+5−1−52i−2i−2i2i−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ34−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19000000002i−2i00-220000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900−1+51−500−1−51+5000000000000000000−2ζ7−2ζ232ζ7+2ζ2300−2ζ43−2ζ472ζ43+2ζ4700−2ζ31−2ζ592ζ31+2ζ5900−2ζ11−2ζ192ζ11+2ζ1900−2ζ22−2ζ382ζ22+2ζ3800−2ζ2−2ζ582ζ2+2ζ5800−2ζ14−2ζ462ζ14+2ζ4600−2ζ26−2ζ342ζ26+2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2404-4-44−4i4i4i−4i00-200−4i4i004-400−1+5−1−522-21−51+51−5−1+51+5−1−52i−2i−2i2i−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ462ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ46−2ζ43−2ζ472ζ43+2ζ472ζ43+2ζ47−2ζ43−2ζ47−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ31−2ζ592ζ31+2ζ592ζ31+2ζ59−2ζ31−2ζ59000000002i−2i00-220000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900−1+51−500−1−51+5000000000000000000−2ζ43−2ζ472ζ43+2ζ4700−2ζ7−2ζ232ζ7+2ζ2300−2ζ11−2ζ192ζ11+2ζ1900−2ζ31−2ζ592ζ31+2ζ5900−2ζ2−2ζ582ζ2+2ζ5800−2ζ22−2ζ382ζ22+2ζ3800−2ζ26−2ζ342ζ26+2ζ3400−2ζ14−2ζ462ζ14+2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000

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