Finite Group Databasebeta

← Group #14482517

Character table — Group #14482517

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1111222222222222222244444444444444466661212121212122222444444444444444488888888888888812121212242424242424222244444444444444448888888888888881212121224242424242455551010101010101010101010101010101020202020202020202020202020202030303030606060606060
order1222223444444666121212122446666121212121212121222222244445101010101015202020202020303030606060601020203030303060606060606060601010101010102020202051010101010152020202020203030306060606010202030303030606060606060606010101010101020202020222222644444466612121212244666612121212121212122222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ411111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-1111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-1111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-1111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-11
χ51111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ71111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-111111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-111111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-111111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-11
χ81111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-11111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-11111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-11111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-1
χ91111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ101111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ111111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-111-1-111111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-111-1-111111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-111-1-111111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-111-1-11
χ121111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-111-1-1111-1-111-11111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-111-1-1111-1-111-11111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-111-1-1111-1-111-11111-1-1111-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-111-1-1111-1-111-1
χ131111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ151111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11-111-11111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11-111-11111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11-111-11111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11-111-1
χ161111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-11-1-111111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-11-1-111111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-11-1-111111-1-11-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-11-1-11
χ17222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ18222222-12222-2-2-1-1-11111-2-2-2-1-111-1-111-1-1110000000000222222-12222-2-2-1-1-11111-2-2-2-1-111-1-111-1-1110000000000222222-12222-2-2-1-1-11111-2-2-2-1-111-1-111-1-1110000000000222222-12222-2-2-1-1-11111-2-2-2-1-111-1-111-1-1110000000000
χ19222222-1-2-2-2-222-1-1-1-1-1-1-1-2-22-1-111111111-1-10000000000222222-1-2-2-2-222-1-1-1-1-1-1-1-2-22-1-111111111-1-10000000000222222-1-2-2-2-222-1-1-1-1-1-1-1-2-22-1-111111111-1-10000000000222222-1-2-2-2-222-1-1-1-1-1-1-1-2-22-1-111111111-1-10000000000
χ20222222-1-2-2-2-2-2-2-1-1-1111122-2-1-1-1-111-1-111110000000000222222-1-2-2-2-2-2-2-1-1-1111122-2-1-1-1-111-1-111110000000000222222-1-2-2-2-2-2-2-1-1-1111122-2-1-1-1-111-1-111110000000000222222-1-2-2-2-2-2-2-1-1-1111122-2-1-1-1-111-1-111110000000000
χ212222-2-2-122-2-222-1-1-1-1-1-1-1-22-21111-1-1-1-1111100000000002222-2-2-122-2-222-1-1-1-1-1-1-1-22-21111-1-1-1-1111100000000002222-2-2-122-2-222-1-1-1-1-1-1-1-22-21111-1-1-1-1111100000000002222-2-2-122-2-222-1-1-1-1-1-1-1-22-21111-1-1-1-111110000000000
χ222222-2-2-122-2-2-2-2-1-1-111112-2211-1-1-1-11111-1-100000000002222-2-2-122-2-2-2-2-1-1-111112-2211-1-1-1-11111-1-100000000002222-2-2-122-2-2-2-2-1-1-111112-2211-1-1-1-11111-1-100000000002222-2-2-122-2-2-2-2-1-1-111112-2211-1-1-1-11111-1-10000000000
χ232222-2-2-1-2-22222-1-1-1-1-1-1-12-2-211-1-11111-1-11100000000002222-2-2-1-2-22222-1-1-1-1-1-1-12-2-211-1-11111-1-11100000000002222-2-2-1-2-22222-1-1-1-1-1-1-12-2-211-1-11111-1-11100000000002222-2-2-1-2-22222-1-1-1-1-1-1-12-2-211-1-11111-1-1110000000000
χ242222-2-2-1-2-222-2-2-1-1-11111-222111111-1-1-1-1-1-100000000002222-2-2-1-2-222-2-2-1-1-11111-222111111-1-1-1-1-1-100000000002222-2-2-1-2-222-2-2-1-1-11111-222111111-1-1-1-1-1-100000000002222-2-2-1-2-222-2-2-1-1-11111-222111111-1-1-1-1-1-10000000000
χ2522-2-22-222i−2i2i−2i002-2-200000002-2002i−2i002i−2i00000000000022-2-22-222i−2i2i−2i002-2-200000002-2002i−2i002i−2i00000000000022-2-22-222i−2i2i−2i002-2-200000002-2002i−2i002i−2i00000000000022-2-22-222i−2i2i−2i002-2-200000002-2002i−2i002i−2i000000000000
χ2622-2-22-22−2i2i−2i2i002-2-200000002-200−2i2i00−2i2i00000000000022-2-22-22−2i2i−2i2i002-2-200000002-200−2i2i00−2i2i00000000000022-2-22-22−2i2i−2i2i002-2-200000002-200−2i2i00−2i2i00000000000022-2-22-22−2i2i−2i2i002-2-200000002-200−2i2i00−2i2i000000000000
χ2722-2-22-2-12i−2i2i−2i00-11133−3−3000-11−i3i3−ii−i3i3−ii3−3000000000022-2-22-2-12i−2i2i−2i00-11133−3−3000-11−i3i3−ii−i3i3−ii3−3000000000022-2-22-2-12i−2i2i−2i00-11133−3−3000-11−i3i3−ii−i3i3−ii3−3000000000022-2-22-2-12i−2i2i−2i00-11133−3−3000-11−i3i3−ii−i3i3−ii3−30000000000
χ2822-2-22-2-12i−2i2i−2i00-111−3−333000-11i3−i3−iii3−i3−ii−33000000000022-2-22-2-12i−2i2i−2i00-111−3−333000-11i3−i3−iii3−i3−ii−33000000000022-2-22-2-12i−2i2i−2i00-111−3−333000-11i3−i3−iii3−i3−ii−33000000000022-2-22-2-12i−2i2i−2i00-111−3−333000-11i3−i3−iii3−i3−ii−330000000000
χ2922-2-22-2-1−2i2i−2i2i00-11133−3−3000-11i3−i3i−ii3−i3i−i3−3000000000022-2-22-2-1−2i2i−2i2i00-11133−3−3000-11i3−i3i−ii3−i3i−i3−3000000000022-2-22-2-1−2i2i−2i2i00-11133−3−3000-11i3−i3i−ii3−i3i−i3−3000000000022-2-22-2-1−2i2i−2i2i00-11133−3−3000-11i3−i3i−ii3−i3i−i3−30000000000
χ3022-2-22-2-1−2i2i−2i2i00-111−3−333000-11−i3i3i−i−i3i3i−i−33000000000022-2-22-2-1−2i2i−2i2i00-111−3−333000-11−i3i3i−i−i3i3i−i−33000000000022-2-22-2-1−2i2i−2i2i00-111−3−333000-11−i3i3i−i−i3i3i−i−33000000000022-2-22-2-1−2i2i−2i2i00-111−3−333000-11−i3i3i−i−i3i3i−i−330000000000
χ3122-2-2-2222i−2i−2i2i002-2-20000000-22002i−2i00−2i2i00000000000022-2-2-2222i−2i−2i2i002-2-20000000-22002i−2i00−2i2i00000000000022-2-2-2222i−2i−2i2i002-2-20000000-22002i−2i00−2i2i00000000000022-2-2-2222i−2i−2i2i002-2-20000000-22002i−2i00−2i2i000000000000
χ3222-2-2-222−2i2i2i−2i002-2-20000000-2200−2i2i002i−2i00000000000022-2-2-222−2i2i2i−2i002-2-20000000-2200−2i2i002i−2i00000000000022-2-2-222−2i2i2i−2i002-2-20000000-2200−2i2i002i−2i00000000000022-2-2-222−2i2i2i−2i002-2-20000000-2200−2i2i002i−2i000000000000
χ3322-2-2-22-12i−2i−2i2i00-11133−3−30001-1i3−i3−ii−i3i3i−i−33000000000022-2-2-22-12i−2i−2i2i00-11133−3−30001-1i3−i3−ii−i3i3i−i−33000000000022-2-2-22-12i−2i−2i2i00-11133−3−30001-1i3−i3−ii−i3i3i−i−33000000000022-2-2-22-12i−2i−2i2i00-11133−3−30001-1i3−i3−ii−i3i3i−i−330000000000
χ3422-2-2-22-12i−2i−2i2i00-111−3−3330001-1−i3i3−iii3−i3i−i3−3000000000022-2-2-22-12i−2i−2i2i00-111−3−3330001-1−i3i3−iii3−i3i−i3−3000000000022-2-2-22-12i−2i−2i2i00-111−3−3330001-1−i3i3−iii3−i3i−i3−3000000000022-2-2-22-12i−2i−2i2i00-111−3−3330001-1−i3i3−iii3−i3i−i3−30000000000
χ3522-2-2-22-1−2i2i2i−2i00-11133−3−30001-1−i3i3i−ii3−i3−ii−33000000000022-2-2-22-1−2i2i2i−2i00-11133−3−30001-1−i3i3i−ii3−i3−ii−33000000000022-2-2-22-1−2i2i2i−2i00-11133−3−30001-1−i3i3i−ii3−i3−ii−33000000000022-2-2-22-1−2i2i2i−2i00-11133−3−30001-1−i3i3i−ii3−i3−ii−330000000000
χ3622-2-2-22-1−2i2i2i−2i00-111−3−3330001-1i3−i3i−i−i3i3−ii3−3000000000022-2-2-22-1−2i2i2i−2i00-111−3−3330001-1i3−i3i−i−i3i3−ii3−3000000000022-2-2-22-1−2i2i2i−2i00-111−3−3330001-1i3−i3i−i−i3i3−ii3−3000000000022-2-2-22-1−2i2i2i−2i00-111−3−3330001-1i3−i3i−i−i3i3−ii3−30000000000
χ372-2-2200200002-2-2-222-22-20000000000000002-22-20000002-2-2200200002-2-2-222-22-20000000000000002-22-20000002-2-2200200002-2-2-222-22-20000000000000002-22-20000002-2-2200200002-2-2-222-22-20000000000000002-22-2000000
χ382-2-2200200002-2-2-222-22-2000000000000000-22-220000002-2-2200200002-2-2-222-22-2000000000000000-22-220000002-2-2200200002-2-2-222-22-2000000000000000-22-220000002-2-2200200002-2-2-222-22-2000000000000000-22-22000000
χ392-2-220020000-22-2-22-22-220000000000000002-2-220000002-2-220020000-22-2-22-22-220000000000000002-2-220000002-2-220020000-22-2-22-22-220000000000000002-2-220000002-2-220020000-22-2-22-22-220000000000000002-2-22000000
χ402-2-220020000-22-2-22-22-22000000000000000-222-20000002-2-220020000-22-2-22-22-22000000000000000-222-20000002-2-220020000-22-2-22-22-22000000000000000-222-20000002-2-220020000-22-2-22-22-22000000000000000-222-2000000
χ414-44-4004000000-44-4000000000000000000000000000004-44-4004000000-44-4000000000000000000000000000004-44-4004000000-44-4000000000000000000000000000004-44-4004000000-44-400000000000000000000000000000
χ424-44-400-20000002-2223−23−232300000000000000000000000004-44-400-20000002-2223−23−232300000000000000000000000004-44-400-20000002-2223−23−232300000000000000000000000004-44-400-20000002-2223−23−23230000000000000000000000000
χ434-44-400-20000002-22−232323−2300000000000000000000000004-44-400-20000002-22−232323−2300000000000000000000000004-44-400-20000002-22−232323−2300000000000000000000000004-44-400-20000002-22−232323−230000000000000000000000000
χ444-4-4400-200004-422-2-22-2200000000000000000000000004-4-4400-200004-422-2-22-2200000000000000000000000004-4-4400-200004-422-2-22-2200000000000000000000000004-4-4400-200004-422-2-22-220000000000000000000000000
χ454-4-4400-20000-4422-22-22-200000000000000000000000004-4-4400-20000-4422-22-22-200000000000000000000000004-4-4400-20000-4422-22-22-200000000000000000000000004-4-4400-20000-4422-22-22-20000000000000000000000000
χ46111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ4811111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-111-1-111-1-111-1-111-11-11-11
χ4911111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-1111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-1111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-11-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-111-1-111-1-11111-1-11-11-11-1
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χ511111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1111111-1-1-1-1
χ521111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-111111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-111111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-11-1-11-11-1-1-1-1-1-1-1111111-1-1-11111-1-11-1-1-1-111-1-11111-1-111-111-11-1
χ531111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-11111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-11111111-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111-11-1-1-1-1-1-1-1-1111111-1-1-11111-1-11-1-1-1-111-1-1111111-1-11-1-11-11
χ541111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-111-1-111
χ551111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111111111-1-111-1-1
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χ1768-88-8008000000-88-800000000000000000000000000000−2−252+25−2−252+2500−2−250000002+25−2−252+2500000000000000000000000000000−2+252−25−2+252−2500−2+250000002−25−2+252−2500000000000000000000000000000000000000000000000000000000000000000000000000
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χ1798-8-8800-400008-844-4-44-440000000000000000000000000−2−252+252+25−2−25001+50000−2−252+25−1−5−1−51+51+5−1−51+5−1−50000000000000000000000000−2+252−252−25−2+25001−50000−2+252−25−1+5−1+51−51−5−1+51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000
χ1808-8-8800-40000-8844-44-44-40000000000000000000000000−2−252+252+25−2−25001+500002+25−2−25−1−5−1−51+5−1−51+5−1−51+50000000000000000000000000−2+252−252−25−2+25001−500002−25−2+25−1+5−1+51−5−1+51−5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000

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