Finite Group Databasebeta

← Group #14478856

Character table — Group #14478856

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240
size1122222233444455666610101515112222223344445566661010151522444444668888101012121212202030302244444466888810101212121220203030224444446688881010121212122020303011222222334444556666101015151122222233444455666610101515224444446688881010121212122020303022444444668888101012121212202030302244444466888810101212121220203030
order123556101044151530304420202020121222226101061010443030303044202020201212224412202012202044606060604420202020121244441220201220204460606060442020202012124444122020122020446060606044202020201212442261010610104430303030442020202012122222610106101044303030304420202020121222441220201220204460606060442020202012124444122020122020446060606044202020201212444412202012202044606060604420202020121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1
χ311111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1
χ411111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ51-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-11-1111-1-1-1i−i11-1-1i−iii−i−ii−i1-1
χ61-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11
χ71-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-111-1111-1-1-1−ii11-1-1i−i−i−iiii−i-11
χ81-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-1
χ9222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000
χ10222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000222−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1−52001−521+521−521+520000
χ11222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000
χ12222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000
χ1322-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-10022-122-12200-1-1-1-1220000-1-100
χ1422-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-20000110022-122-12200-1-1-1-1-2-200001100
χ152-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700002-22−1+52−1−52-21−521+522i−2i−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000
χ162-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700002-22−1+52−1−52-21−521+52−2i2i−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000
χ172-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900002-22−1−52−1+52-21+521−522i−2i−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000
χ182-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000
χ192-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii002-2-1221-2-200-1-1112i−2i0000−ii00
χ202-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i00
χ2144-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+52000000000044-2−1+5−1−5-2−1+5−1−5001−521+521−521+520000000000
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χ234-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000
χ244-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000
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χ2711111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ2811111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
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χ321-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-1-11-1-1-1111i−i-1-111i−iii−i−ii−i-11-11-1-1-1111i−i-1-111i−iii−i−ii−i-111-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-11-1111-1-1-1−ii11-1-1−ii−i−iii−ii1-1-11-1-1-1111i−i-1-111i−iii−i−ii−i-11-11-1-1-1111i−i-1-111i−iii−i−ii−i-11
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χ474-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000
χ484-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000
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χ5211111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
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χ59222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52-2-21+521−521+521−52001+521−521+521−520000
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χ1382-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900002-22−1−52−1+52-21+521−52−2i2i−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000-22-21+521−522−1−52−1+522i−2i1+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000
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χ1402-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii00
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χ14244-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−52000000000044-2−1−5−1+5-2−1−5−1+5001+521−521+521−520000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000-4-421+51−521+51−500−1−52−1+52−1−52−1+520000000000
χ1434-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000
χ1444-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000
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χ14611111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1
χ14711111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1111111-1-1-1-111-1-111111111-1-1111111-1-1-1-111-1-1
χ14811111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
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χ156222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000-2-2-21+521−52-21+521−52221+521−521+521−5200−1−52−1+52−1−52−1+520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000222−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1+52001+521−521+521−520000
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χ1882-2-1221-2-200-1-111−2i2i0000i−i002-2-1221-2-200-1-111−2i2i0000i−i00-221-2-2-1220011-1-12i−2i0000−ii002-2-1221-2-200-1-111−2i2i0000i−i00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii00-221-2-2-1220011-1-12i−2i0000−ii002-2-1221-2-200-1-111−2i2i0000i−i00-221-2-2-1220011-1-12i−2i0000−ii002-2-1221-2-200-1-111−2i2i0000i−i00
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χ1914-4-2−1+5−1−521−51+5001−521+52−1+52−1−5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000-4421−51+5-2−1+5−1−500−1+52−1−521−521+5200000000004-4-2−1+5−1−521−51+5001−521+52−1+52−1−520000000000
χ1924-4-2−1−5−1+521+51−5001+521−52−1−52−1+5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000-4421+51−5-2−1−5−1+500−1−52−1+521+521−5200000000004-4-2−1−5−1+521+51−5001+521−52−1−52−1+520000000000
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χ1981-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11-11-1-1-1111−ii-1-111i−i−i−iiii−i1-1-11-1-1-1111−ii-1-111i−i−i−iiii−i1-11-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11-11-1-1-1111−ii-1-111i−i−i−iiii−i1-1-11-1-1-1111−ii-1-111i−i−i−iiii−i1-11-1111-1-1-1i−i11-1-1−iiii−i−i−ii-111-1111-1-1-1i−i11-1-1−iiii−i−i−ii-11-11-1-1-1111−ii-1-111i−i−i−iiii−i1-1
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χ225444−1+5−1−54−1+5−1−544−1+5−1−5−1+5−1−500−1+5−1−5−1+5−1−50000-4-4-41−51+5-41−51+5-4-41−51+51−51+5001−51+51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000-4-4-41−51+5-41−51+5-4-41−51+51−51+5001−51+51−51+50000444−1+5−1−54−1+5−1−544−1+5−1−5−1+5−1−500−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ226444−1+5−1−54−1+5−1−5-4-4−1+5−1−5−1+5−1−5001−51+51−51+50000-4-4-41−51+5-41−51+5441−51+51−51+500−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000-4-4-41−51+5-41−51+5441−51+51−51+500−1+5−1−5−1+5−1−50000444−1+5−1−54−1+5−1−5-4-4−1+5−1−5−1+5−1−5001−51+51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ227444−1−5−1+54−1−5−1+544−1−5−1+5−1−5−1+500−1−5−1+5−1−5−1+50000-4-4-41+51−5-41+51−5-4-41+51−51+51−5001+51−51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000-4-4-41+51−5-41+51−5-4-41+51−51+51−5001+51−51+51−50000444−1−5−1+54−1−5−1+544−1−5−1+5−1−5−1+500−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ228444−1−5−1+54−1−5−1+5-4-4−1−5−1+5−1−5−1+5001+51−51+51−50000-4-4-41+51−5-41+51−5441+51−51+51−500−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000-4-4-41+51−5-41+51−5441+51−51+51−500−1−5−1+5−1−5−1+50000444−1−5−1+54−1−5−1+5-4-4−1−5−1+5−1−5−1+5001+51−51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ22944-244-24400-2-2-2-2440000-2-200-4-42-4-42-4-4002222-4-400002200000000000000000000000000000000000000000000000000000000000000000000000000-4-42-4-42-4-4002222-4-40000220044-244-24400-2-2-2-2440000-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ23044-244-24400-2-2-2-2-4-400002200-4-42-4-42-4-4002222440000-2-200000000000000000000000000000000000000000000000000000000000000000000000000-4-42-4-42-4-4002222440000-2-20044-244-24400-2-2-2-2-4-400002200000000000000000000000000000000000000000000000000000000000000000000000000
χ2314-44−1+5−1−5-41−51+54i−4i−1+5−1−51−51+500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ70000-44-41−51+54−1+5−1−5−4i4i1−51+5−1+5−1−5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000-44-41−51+54−1+5−1−5−4i4i1−51+5−1+5−1−5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ700004-44−1+5−1−5-41−51+54i−4i−1+5−1−51−51+500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000
χ2324-44−1+5−1−5-41−51+5−4i4i−1+5−1−51−51+5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ70000-44-41−51+54−1+5−1−54i−4i1−51+5−1+5−1−500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000-44-41−51+54−1+5−1−54i−4i1−51+5−1+5−1−500−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ700004-44−1+5−1−5-41−51+5−4i4i−1+5−1−51−51+5002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000
χ2334-44−1−5−1+5-41+51−54i−4i−1−5−1+51+51−500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ190000-44-41+51−54−1−5−1+5−4i4i1+51−5−1−5−1+5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000-44-41+51−54−1−5−1+5−4i4i1+51−5−1−5−1+5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ1900004-44−1−5−1+5-41+51−54i−4i−1−5−1+51+51−500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000
χ2344-44−1−5−1+5-41+51−5−4i4i−1−5−1+51+51−5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ190000-44-41+51−54−1−5−1+54i−4i1+51−5−1−5−1+500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000-44-41+51−54−1−5−1+54i−4i1+51−5−1−5−1+500−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ1900004-44−1−5−1+5-41+51−5−4i4i−1−5−1+51+51−5002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000
χ2354-4-2442-4-400-2-2224i−4i0000−2i2i00-442-4-4-2440022-2-2−4i4i00002i−2i00000000000000000000000000000000000000000000000000000000000000000000000000-442-4-4-2440022-2-2−4i4i00002i−2i004-4-2442-4-400-2-2224i−4i0000−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ2364-4-2442-4-400-2-222−4i4i00002i−2i00-442-4-4-2440022-2-24i−4i0000−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000-442-4-4-2440022-2-24i−4i0000−2i2i004-4-2442-4-400-2-222−4i4i00002i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ23788-4−2+25−2−25-4−2+25−2−25001−51+51−51+50000000000-8-842−252+2542−252+2500−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000-8-842−252+2542−252+2500−1+5−1−5−1+5−1−5000000000088-4−2+25−2−25-4−2+25−2−25001−51+51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ23888-4−2−25−2+25-4−2−25−2+25001+51−51+51−50000000000-8-842+252−2542+252−2500−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000-8-842+252−2542+252−2500−1−5−1+5−1−5−1+5000000000088-4−2−25−2+25-4−2−25−2+25001+51−51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2398-8-4−2+25−2−2542−252+25001−51+5−1+5−1−50000000000-8842−252+25-4−2+25−2−2500−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000-8842−252+25-4−2+25−2−2500−1+5−1−51−51+500000000008-8-4−2+25−2−2542−252+25001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2408-8-4−2−25−2+2542+252−25001+51−5−1−5−1+50000000000-8842+252−25-4−2−25−2+2500−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000-8842+252−25-4−2−25−2+2500−1−5−1+51+51−500000000008-8-4−2−25−2+2542+252−25001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.