Finite Group Databasebeta

← Group #12004479

Character table — Group #12004479

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size111111112222222222224444444411111111222222222222444444442222222244444444444488888888222222224444444444448888888822222222444444444444888888882222222244444444444488888888555555551010101010101010101010102020202020202020555555551010101010101010101010102020202020202020
order1222222244448888888844444444222222224444888888884444444451010101010101020202020404040404040404020202020202020205101010101010102020202040404040404040402020202020202020101010101010101020202020404040404040404020202020202020201010101010101010202020204040404040404040202020202020202044444444444488888888444444444444444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i
χ6111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii
χ7111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii
χ8111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i
χ91-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ101-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ111-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ121-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i
χ131-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-1
χ141-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-11
χ151-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-11
χ161-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-1
χ1722222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-20000000000000000
χ18222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000
χ1922-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−200000000
χ2022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−2200000000
χ2122-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−2200000000
χ2222-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−200000000
χ232-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i200000000
χ242-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i200000000
χ252-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i200000000
χ262-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i200000000
χ272-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-2220000000000000000
χ282-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-220000000000000000
χ29111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ33111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i-1-1-111-111-111-1-1-1-1-11111−i−iii−i−iii-1-1-111-111-111-1-1-1-1-11111−i−iii−i−iii
χ34111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii-1-1-111-111-111-1-1-1-1-11111ii−i−iii−i−i-1-1-111-111-111-1-1-1-1-11111ii−i−iii−i−i
χ35111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii-1-1-111-111-111-11111-1-1-1-1−i−iiiii−i−i-1-1-111-111-111-11111-1-1-1-1−i−iiiii−i−i
χ36111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i-1-1-111-111-111-11111-1-1-1-1ii−i−i−i−iii-1-1-111-111-111-11111-1-1-1-1ii−i−i−i−iii
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χ5811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiiiiiii−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−iiiiiiiii
χ59111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
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χ173222-2-22-2-22-2-222222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-222-222-222-2-2-2-2-22222−2i−2i2i2i−2i−2i2i2i−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141−521−521−52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−521−521−521−52−1+52−1+52−1+52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381+521+521+52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+521+521+521+52−1−52−1−52−1−52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ1400000000000000000000000000000000000000000000000000000000
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χ175222-2-22-2-22-2-22-2-2-2-222222i2i−2i−2i−2i−2i2i2i-2-2-222-222-222-22222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141−521−521−52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381+521+521+52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ1400000000000000000000000000000000000000000000000000000000
χ176222-2-22-2-22-2-22-2-2-2-22222−2i−2i2i2i2i2i−2i−2i-2-2-222-222-222-22222-2-2-2-22i2i−2i−2i−2i−2i2i2i−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141−521−521−52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381+521+521+52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ1400000000000000000000000000000000000000000000000000000000
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χ1792-2-22-222-222-2-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i-222-22-2-22-2-2222i2i−2i−2i2i2i−2i−2i-22-222i−2i2i−2i−1+521−521−52−1+521−52−1+52−1+521−52−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−52−1+521−52ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−1−521+521+52−1−521+52−1−52−1−521+52−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+52−1−521+52ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ141−52−1+52−1+521−52−1+521−521−52−1+521−521−52−1+52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+521−52−1+52−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ381+52−1−52−1−521+52−1−521+521+52−1−521+521+52−1−52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−521+52−1−52−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ1400000000000000000000000000000000000000000000000000000000
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χ2194-444-4-4-4400002i2−2i2−2i22i22i2−2i2−2i22i200000000-44-4-4444-40000−2i22i22i2−2i2−2i22i22i2−2i200000000−1−51+5−1−5−1−51+51+51+5−1−50000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000−1+51−5−1+5−1+51−51−51−5−1+50000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000001+5−1−51+51+5−1−5−1−5−1−51+50000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000001−5−1+51−51−5−1+5−1+5−1+51−50000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000000000000000000000000000000000
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χ2234-4-44-444-4-4-4440000000000000000-444-44-4-4444-4-40000000000000000−1−51+51+5−1−51+5−1−5−1−51+51+51+5−1−5−1−50000000000000000−1+51−51−5−1+51−5−1+5−1+51−51−51−5−1+5−1+500000000000000001+5−1−5−1−51+5−1−51+51+5−1−5−1−5−1−51+51+500000000000000001−5−1+5−1+51−5−1+51−51−5−1+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000
χ2244-4-4-444-44-44-440000000000000000-4444-4-44-44-44-40000000000000000−1−51+51+51+5−1−5−1−51+5−1−51+5−1−51+5−1−50000000000000000−1+51−51−51−5−1+5−1+51−5−1+51−5−1+51−5−1+500000000000000001+5−1−5−1−5−1−51+51+5−1−51+5−1−51+5−1−51+500000000000000001−5−1+5−1+5−1+51−51−5−1+51−5−1+51−5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.