Finite Group Databasebeta

← Group #14320518

Character table — Group #14320518

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424242222222244444444444488888888888888881212121212121212242424245555555510101010101010101010101020202020202020202020202020202020303030303030303060606060
order12222222344446666666224466661212121212121212444444444444510101010101010152020202030303030303030101020203030303060606060606060602020202020202020202020205101010101010101520202020303030303030301010202030303030606060606060606020202020202020202020202022222222644446666666224466661212121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i11-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i11-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i11-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i
χ1011-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii11-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii11-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii11-1-111-1-11ii−i−i111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii
χ1111-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii11-1-1ii−i−i-11−ii11-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii11-1-1ii−i−i-11−ii11-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii11-1-1ii−i−i-11−ii11-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii11-1-1ii−i−i-11−ii
χ1211-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii-1-111−i−iii1-1i−i11-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii-1-111−i−iii1-1i−i11-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii-1-111−i−iii1-1i−i11-1-111-1-11ii−i−i111-1-1-1-1-11−ii-1-111ii−i−i−i−iii-1-111−i−iii1-1i−i
χ1311-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii11-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii11-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii11-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii
χ1411-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i11-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i11-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i11-1-111-1-11−i−iii111-1-1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i
χ1511-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i11-1-1−i−iii-11i−i11-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i11-1-1−i−iii-11i−i11-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i11-1-1−i−iii-11i−i11-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i11-1-1−i−iii-11i−i
χ1611-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i-1-111ii−i−i1-1−ii11-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i-1-111ii−i−i1-1−ii11-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i-1-111ii−i−i1-1−ii11-1-111-1-11−i−iii111-1-1-1-1-11i−i-1-111−i−iiiii−i−i-1-111ii−i−i1-1−ii
χ1722222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000000000
χ1922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-111111111000000000000
χ2022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000
χ21222-2-2-2-22200002-2-22-22-200000000000000002i−2i2i−2i00000000222-2-2-2-22200002-2-22-22-200000000000000002i−2i2i−2i00000000222-2-2-2-22200002-2-22-22-200000000000000002i−2i2i−2i00000000222-2-2-2-22200002-2-22-22-200000000000000002i−2i2i−2i00000000
χ22222-2-2-2-22200002-2-22-22-20000000000000000−2i2i−2i2i00000000222-2-2-2-22200002-2-22-22-20000000000000000−2i2i−2i2i00000000222-2-2-2-22200002-2-22-22-20000000000000000−2i2i−2i2i00000000222-2-2-2-22200002-2-22-22-20000000000000000−2i2i−2i2i00000000
χ2322-22-2-22-2200002-2-2-22-2200000000000000002i−2i−2i2i0000000022-22-2-22-2200002-2-2-22-2200000000000000002i−2i−2i2i0000000022-22-2-22-2200002-2-2-22-2200000000000000002i−2i−2i2i0000000022-22-2-22-2200002-2-2-22-2200000000000000002i−2i−2i2i00000000
χ2422-22-2-22-2200002-2-2-22-220000000000000000−2i2i2i−2i0000000022-22-2-22-2200002-2-2-22-220000000000000000−2i2i2i−2i0000000022-22-2-22-2200002-2-2-22-220000000000000000−2i2i2i−2i0000000022-22-2-22-2200002-2-2-22-220000000000000000−2i2i2i−2i00000000
χ2522-2-222-2-2-12i2i−2i−2i-1-1-111112-22i−2i-1-111−i−iii−i−iii00000000000022-2-222-2-2-12i2i−2i−2i-1-1-111112-22i−2i-1-111−i−iii−i−iii00000000000022-2-222-2-2-12i2i−2i−2i-1-1-111112-22i−2i-1-111−i−iii−i−iii00000000000022-2-222-2-2-12i2i−2i−2i-1-1-111112-22i−2i-1-111−i−iii−i−iii000000000000
χ2622-2-222-2-2-12i2i−2i−2i-1-1-11111-22−2i2i11-1-1−i−iiiii−i−i00000000000022-2-222-2-2-12i2i−2i−2i-1-1-11111-22−2i2i11-1-1−i−iiiii−i−i00000000000022-2-222-2-2-12i2i−2i−2i-1-1-11111-22−2i2i11-1-1−i−iiiii−i−i00000000000022-2-222-2-2-12i2i−2i−2i-1-1-11111-22−2i2i11-1-1−i−iiiii−i−i000000000000
χ2722-2-222-2-2-1−2i−2i2i2i-1-1-111112-2−2i2i-1-111ii−i−iii−i−i00000000000022-2-222-2-2-1−2i−2i2i2i-1-1-111112-2−2i2i-1-111ii−i−iii−i−i00000000000022-2-222-2-2-1−2i−2i2i2i-1-1-111112-2−2i2i-1-111ii−i−iii−i−i00000000000022-2-222-2-2-1−2i−2i2i2i-1-1-111112-2−2i2i-1-111ii−i−iii−i−i000000000000
χ2822-2-222-2-2-1−2i−2i2i2i-1-1-11111-222i−2i11-1-1ii−i−i−i−iii00000000000022-2-222-2-2-1−2i−2i2i2i-1-1-11111-222i−2i11-1-1ii−i−i−i−iii00000000000022-2-222-2-2-1−2i−2i2i2i-1-1-11111-222i−2i11-1-1ii−i−i−i−iii00000000000022-2-222-2-2-1−2i−2i2i2i-1-1-11111-222i−2i11-1-1ii−i−i−i−iii000000000000
χ292-2222-2-2-220000-22-22-2-22000000000000000000002i−2i2i−2i00002-2222-2-2-220000-22-22-2-22000000000000000000002i−2i2i−2i00002-2222-2-2-220000-22-22-2-22000000000000000000002i−2i2i−2i00002-2222-2-2-220000-22-22-2-22000000000000000000002i−2i2i−2i0000
χ302-2222-2-2-220000-22-22-2-2200000000000000000000−2i2i−2i2i00002-2222-2-2-220000-22-22-2-2200000000000000000000−2i2i−2i2i00002-2222-2-2-220000-22-22-2-2200000000000000000000−2i2i−2i2i00002-2222-2-2-220000-22-22-2-2200000000000000000000−2i2i−2i2i0000
χ312-22-2-222-222i−2i2i−2i-2-2222-2-2000000002i−2i2i−2i00000000000000002-22-2-222-222i−2i2i−2i-2-2222-2-2000000002i−2i2i−2i00000000000000002-22-2-222-222i−2i2i−2i-2-2222-2-2000000002i−2i2i−2i00000000000000002-22-2-222-222i−2i2i−2i-2-2222-2-2000000002i−2i2i−2i0000000000000000
χ322-22-2-222-22−2i2i−2i2i-2-2222-2-200000000−2i2i−2i2i00000000000000002-22-2-222-22−2i2i−2i2i-2-2222-2-200000000−2i2i−2i2i00000000000000002-22-2-222-22−2i2i−2i2i-2-2222-2-200000000−2i2i−2i2i00000000000000002-22-2-222-22−2i2i−2i2i-2-2222-2-200000000−2i2i−2i2i0000000000000000
χ332-22-2-222-2-12i−2i2i−2i11-1-1-1110000−i3i3−i3i3−ii−ii3−33−30000000000002-22-2-222-2-12i−2i2i−2i11-1-1-1110000−i3i3−i3i3−ii−ii3−33−30000000000002-22-2-222-2-12i−2i2i−2i11-1-1-1110000−i3i3−i3i3−ii−ii3−33−30000000000002-22-2-222-2-12i−2i2i−2i11-1-1-1110000−i3i3−i3i3−ii−ii3−33−3000000000000
χ342-22-2-222-2-12i−2i2i−2i11-1-1-1110000i3−i3i3−i3−ii−ii−33−330000000000002-22-2-222-2-12i−2i2i−2i11-1-1-1110000i3−i3i3−i3−ii−ii−33−330000000000002-22-2-222-2-12i−2i2i−2i11-1-1-1110000i3−i3i3−i3−ii−ii−33−330000000000002-22-2-222-2-12i−2i2i−2i11-1-1-1110000i3−i3i3−i3−ii−ii−33−33000000000000
χ352-22-2-222-2-1−2i2i−2i2i11-1-1-1110000−i3i3−i3i3i−ii−i−33−330000000000002-22-2-222-2-1−2i2i−2i2i11-1-1-1110000−i3i3−i3i3i−ii−i−33−330000000000002-22-2-222-2-1−2i2i−2i2i11-1-1-1110000−i3i3−i3i3i−ii−i−33−330000000000002-22-2-222-2-1−2i2i−2i2i11-1-1-1110000−i3i3−i3i3i−ii−i−33−33000000000000
χ362-22-2-222-2-1−2i2i−2i2i11-1-1-1110000i3−i3i3−i3i−ii−i3−33−30000000000002-22-2-222-2-1−2i2i−2i2i11-1-1-1110000i3−i3i3−i3i−ii−i3−33−30000000000002-22-2-222-2-1−2i2i−2i2i11-1-1-1110000i3−i3i3−i3i−ii−i3−33−30000000000002-22-2-222-2-1−2i2i−2i2i11-1-1-1110000i3−i3i3−i3i−ii−i3−33−3000000000000
χ372-2-22-22-2222-2-22-2-22-2-222000000002-2-2200000000000000002-2-22-22-2222-2-22-2-22-2-222000000002-2-2200000000000000002-2-22-22-2222-2-22-2-22-2-222000000002-2-2200000000000000002-2-22-22-2222-2-22-2-22-2-222000000002-2-220000000000000000
χ382-2-22-22-222-222-2-2-22-2-22200000000-222-200000000000000002-2-22-22-222-222-2-2-22-2-22200000000-222-200000000000000002-2-22-22-222-222-2-2-22-2-22200000000-222-200000000000000002-2-22-22-222-222-2-2-22-2-22200000000-222-20000000000000000
χ392-2-22-22-22-12-2-2211-111-1-10000−i3i3i3−i3-111-1−i3i3i3−i30000000000002-2-22-22-22-12-2-2211-111-1-10000−i3i3i3−i3-111-1−i3i3i3−i30000000000002-2-22-22-22-12-2-2211-111-1-10000−i3i3i3−i3-111-1−i3i3i3−i30000000000002-2-22-22-22-12-2-2211-111-1-10000−i3i3i3−i3-111-1−i3i3i3−i3000000000000
χ402-2-22-22-22-12-2-2211-111-1-10000i3−i3−i3i3-111-1i3−i3−i3i30000000000002-2-22-22-22-12-2-2211-111-1-10000i3−i3−i3i3-111-1i3−i3−i3i30000000000002-2-22-22-22-12-2-2211-111-1-10000i3−i3−i3i3-111-1i3−i3−i3i30000000000002-2-22-22-22-12-2-2211-111-1-10000i3−i3−i3i3-111-1i3−i3−i3i3000000000000
χ412-2-22-22-22-1-222-211-111-1-10000−i3i3i3−i31-1-11i3−i3−i3i30000000000002-2-22-22-22-1-222-211-111-1-10000−i3i3i3−i31-1-11i3−i3−i3i30000000000002-2-22-22-22-1-222-211-111-1-10000−i3i3i3−i31-1-11i3−i3−i3i30000000000002-2-22-22-22-1-222-211-111-1-10000−i3i3i3−i31-1-11i3−i3−i3i3000000000000
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χ432-2-2-22-22220000-22-2-222-2000000000000000000002-2-2200002-2-2-22-22220000-22-2-222-2000000000000000000002-2-2200002-2-2-22-22220000-22-2-222-2000000000000000000002-2-2200002-2-2-22-22220000-22-2-222-2000000000000000000002-2-220000
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χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
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χ1804-44-4-444-4-2−4i4i−4i4i22-2-2-22200002i3−2i32i3−2i32i−2i2i−2i23−2323−23000000000000−1−51+5−1−51+51+5−1−5−1−51+51+522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1−52−1−521+521+521+52−1−52−1−520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000−1+51−5−1+51−51−5−1+5−1+51−51−522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1+52−1+521−521−521−52−1+52−1+520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000000000000000000000000000000000
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χ1824-4-44-44-444-444-4-4-44-4-44400000000-444-40000000000000000−1−51+51+5−1−51+5−1−51+5−1−5−1−51+5−1−5−1−51+51+51+5−1−51+51+5−1−5−1−5000000001+5−1−5−1−51+50000000000000000−1+51−51−5−1+51−5−1+51−5−1+5−1+51−5−1+5−1+51−51−51−5−1+51−51−5−1+5−1+5000000001−5−1+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ1834-4-44-44-44-24-4-4422-222-2-20000−2i32i32i3−2i3-222-2−2i32i32i3−2i3000000000000−1−51+51+5−1−51+5−1−51+5−1−51+52−1−51+51+5−1−5−1−52−1−521+52−1−52−1−521+521+520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461+52−1−52−1−521+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000−1+51−51−5−1+51−5−1+51−5−1+51−52−1+51−51−5−1+5−1+52−1+521−52−1+52−1+521−521−520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581−52−1+52−1+521−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000000000000000
χ1844-4-44-44-44-24-4-4422-222-2-200002i3−2i3−2i32i3-222-22i3−2i3−2i32i3000000000000−1−51+51+5−1−51+5−1−51+5−1−51+52−1−51+51+5−1−5−1−52−1−521+52−1−52−1−521+521+520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461+52−1−52−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000−1+51−51−5−1+51−5−1+51−5−1+51−52−1+51−51−5−1+5−1+52−1+521−52−1+52−1+521−521−520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581−52−1+52−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000000000000000
χ1854-4-44-44-44-2-444-422-222-2-20000−2i32i32i3−2i32-2-222i3−2i3−2i32i3000000000000−1−51+51+5−1−51+5−1−51+5−1−51+521+5−1−5−1−51+5−1−52−1−521+52−1−52−1−521+521+520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1−521+521+52−1−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000−1+51−51−5−1+51−5−1+51−5−1+51−521−5−1+5−1+51−5−1+52−1+521−52−1+52−1+521−521−520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1+521−521−52−1+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000000000000000
χ1864-4-44-44-44-2-444-422-222-2-200002i3−2i3−2i32i32-2-22−2i32i32i3−2i3000000000000−1−51+51+5−1−51+5−1−51+5−1−51+521+5−1−5−1−51+5−1−52−1−521+52−1−52−1−521+521+520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1−521+521+52−1−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000−1+51−51−5−1+51−5−1+51−5−1+51−521−5−1+5−1+51−5−1+52−1+521−52−1+52−1+521−521−520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1+521−521−52−1+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000000000000000
χ1874-4-4-44-44440000-44-4-444-4000000000000000000004-4-440000−1−51+51+51+5−1−51+5−1−5−1−5−1−500001+5−1−51+51+5−1−5−1−51+500000000000000000000−1−51+51+5−1−50000−1+51−51−51−5−1+51−5−1+5−1+5−1+500001−5−1+51−51−5−1+5−1+51−500000000000000000000−1+51−51−5−1+50000000000000000000000000000000000000000000000000000
χ1884-4-4-44-44440000-44-4-444-400000000000000000000-444-40000−1−51+51+51+5−1−51+5−1−5−1−5−1−500001+5−1−51+51+5−1−5−1−51+5000000000000000000001+5−1−5−1−51+50000−1+51−51−51−5−1+51−5−1+5−1+5−1+500001−5−1+51−51−5−1+5−1+51−5000000000000000000001−5−1+5−1+51−50000000000000000000000000000000000000000000000000000
χ189888-8-8-8-88-40000-444-44-440000000000000000000000000000−2−25−2−25−2−252+252+252+252+25−2−251+500001+5−1−5−1−51+5−1−51+5−1−50000000000000000000000000000−2+25−2+25−2+252−252−252−252−25−2+251−500001−5−1+5−1+51−5−1+51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ19088-88-8-88-8-40000-4444-44-40000000000000000000000000000−2−25−2−252+25−2−252+252+25−2−252+251+500001+5−1−5−1−5−1−51+5−1−51+50000000000000000000000000000−2+25−2+252−25−2+252−252−25−2+252−251−500001−5−1+5−1+5−1+51−5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1918-8888-8-8-8-400004-44-444-40000000000000000000000000000−2−252+25−2−25−2−25−2−252+252+252+251+50000−1−51+5−1−51+5−1−5−1−51+50000000000000000000000000000−2+252−25−2+25−2+25−2+252−252−252−251−50000−1+51−5−1+51−5−1+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8-8-88-888-400004-444-4-440000000000000000000000000000−2−252+252+252+25−2−252+25−2−25−2−251+50000−1−51+5−1−5−1−51+51+5−1−50000000000000000000000000000−2+252−252−252−25−2+252−25−2+25−2+251−50000−1+51−5−1+5−1+51−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000

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