Finite Group Databasebeta

← Group #13161802

Character table — Group #13161802

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122244442233344666666666666612121212121212121212121212121212333336666666666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244446666666612121212121212128888888824242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1111-1-1111111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1111-1-1111111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1111-1-1111111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1111-1-1111111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ17222222222222-1222222-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222-1222222-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ1922222222222-122222-1-12222222-1222-1-12222222222-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ2022222222222-122222-1-12222222-1222-1-12222222222-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ212222222222-12222-1-122222222-122-1-12222222222-1-122-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ222222222222-12222-1-122222222-122-1-12222222222-1-122-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200001111111100000000
χ2322222222-2-222-1-2-22222-1-1111122-12222-1-1-1-1111122222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ2422222222-2-222-1-2-22222-1-1111122-12222-1-1-1-1111122222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ2522222222-2-22-12-2-222-1-122-2-2-2-22-1222-1-12222-2-2-2-222-1-1-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ2622222222-2-22-12-2-222-1-122-2-2-2-22-1222-1-12222-2-2-2-222-1-1-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ2722222222-2-2-122-2-2-1-12222-2-2-2-2-122-1-1222222-2-2-2-2-1-122-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000000000000000000022-2-20000-1-1-1-1111100000000
χ2822222222-2-2-122-2-2-1-12222-2-2-2-2-122-1-1222222-2-2-2-2-1-122-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000000000-2-22200001111-1-1-1-100000000
χ292222-2-2-2-22222-1-2-22222-1-1-1-1-1-122-1-2-2-2-211111111-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-211111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ302222-2-2-2-22222-1-2-22222-1-1-1-1-1-122-1-2-2-2-211111111-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-21111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ312222-2-2-2-2222-12-2-222-1-12222222-12-2-211-2-2-2-2-2-2-2-2-2-211-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-21111111111111111-2-2-2-211111111111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ322222-2-2-2-2222-12-2-222-1-12222222-12-2-211-2-2-2-2-2-2-2-2-2-211-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-21111111111111111-2-2-2-21111111111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ332222-2-2-2-222-122-2-2-1-122222222-12211-2-2-2-2-2-2-2-2-2-211-2-2-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-211111111-2-2-2-21111111111111111-2-2-2-2111111110000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ342222-2-2-2-222-122-2-2-1-122222222-12211-2-2-2-2-2-2-2-2-2-211-2-2-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-211111111-2-2-2-21111111111111111-2-2-2-211111111000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ352222-2-2-2-2-2-222-1222222-1-1111122-1-2-2-2-21111-1-1-1-1-2-2-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ362222-2-2-2-2-2-222-1222222-1-1111122-1-2-2-2-21111-1-1-1-1-2-2-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ372222-2-2-2-2-2-22-122222-1-122-2-2-2-22-12-2-211-2-2-2-22222-2-211-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ382222-2-2-2-2-2-22-122222-1-122-2-2-2-22-12-2-211-2-2-2-22222-2-211-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ392222-2-2-2-2-2-2-12222-1-12222-2-2-2-2-12211-2-2-2-2-2-2222211-2-2-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ402222-2-2-2-2-2-2-12222-1-12222-2-2-2-2-12211-2-2-2-2-2-2222211-2-2-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ4122-2-22i2i−2i−2i00222002-22-22-20000-2-2-22i−2i2i−2i2i2i−2i−2i00002i−2i2i−2i2222200002-22-22-222-2-200000000000000000000-2-2-2-2-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000002-2002i−2i000022-2-200002i2i−2i−2i000000000000000000000000
χ4222-2-22i2i−2i−2i00222002-22-22-20000-2-2-22i−2i2i−2i2i2i−2i−2i00002i−2i2i−2i2222200002-22-22-222-2-200000000000000000000-2-2-2-2-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000-2200−2i2i0000-2-2220000−2i−2i2i2i000000000000000000000000
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χ1604-44-4−4i4i−4i4i00-2-2-2002-22-22-22i3−2i32i3−2i32222i−2i−2i2i2i−2i2i−2i23−2323−23−2i2i2i−2i111−1+3i32−1−3i320000-11-11-111−3i321+3i32−1+3i32−1−3i323-3-33−i3i3−i3i3−i3i3−i3i3−3+i323+i323−i32−3−i32−3+i323+i323−i32−3−i32-1-1-11−3i321+3i320000−ii−ii−ii−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−3i3i3i−3i−33−33−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000000000
χ1614-4-444-4-444-44-2-24-4-4-42222-222-24-2-24422-222-2-222-2-4-4-2-2-2-21114-4-222222-1-1-1-1-1-1-2-222-222-21-1-1111-1-1-1-111-2-21114-4-22-222-2-222-21-1-1111-1-1-1-111-2-222-222-21-1-1111-1-1-1-111000000000000000000000000000000000000000000000000
χ1624-4-444-4-444-4-24-24-422-4-422-222-2-24-2-2-2-4-4-222-2-222-22244-21-211-224-422-1-122-1-1-1-1-2-2221-1-11-222-211-1-1-1-111-21-211-224-4-222-21-1-11-222-211-1-1-1-111-2-2221-1-11-222-211-1-1-1-111000000000000000000000000000000000000000000000000
χ1634-4-444-4-444-4-2-244-42222-4-44-4-44-2-24-2-2224-4-444-4-4422-2-21-2-211-22-22-1-12222-1-1-1-111-1-1-222-2-222-211-1-1-1-1111-2-211-22-221-1-11-222-2-222-211-1-1-1-11111-1-1-222-2-222-211-1-1-1-111000000000000000000000000000000000000000000000000
χ1644-4-444-4-444-4-2-2-24-4222222-222-2-2-2-2-2-222-222-2-222-222-2-2111−1−3i32−1+3i32-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i3211-1-11-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i32-22-221-1-111-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i3211-1-11-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000000
χ1654-4-444-4-444-4-2-2-24-4222222-222-2-2-2-2-2-222-222-2-222-222-2-2111−1+3i32−1−3i32-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i3211-1-11-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i32-22-221-1-111-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i3211-1-11-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000000000000
χ1664-4-444-4-44-444-2-2-44-4-422222-2-224-2-24422-222-22-2-22-4-4-2-2-2-2111-442-22222-1-1-1-1-1-122-2-22-2-22-111-1-1-11111-1-1-2-2111-442-2-222-2-222-21-1-1111-1-1-1-11122-2-22-2-22-111-1-1-11111-1-1000000000000000000000000000000000000000000000000
χ1674-4-444-4-44-44-24-2-4422-4-4222-2-22-24-2-2-2-4-4-222-22-2-222244-21-2112-2-4422-1-122-1-1-1-122-2-2-111-12-2-22-1-11111-1-1-21-2112-2-44-222-21-1-11-222-211-1-1-1-11122-2-2-111-12-2-22-1-11111-1-1000000000000000000000000000000000000000000000000
χ1684-4-444-4-44-44-2-24-442222-4-4-444-4-2-24-2-2224-4-44-444-422-2-21-2-2112-22-2-1-12222-1-1-1-1-1-1112-2-222-2-22-1-11111-1-11-2-2112-22-21-1-11-222-2-222-211-1-1-1-111-1-1112-2-222-2-22-1-11111-1-1000000000000000000000000000000000000000000000000
χ1694-4-444-4-44-44-2-2-2-442222222-2-22-2-2-2-2-222-222-22-2-2222-2-2111−1−3i32−1+3i322-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-111-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i322-22-21-1-111-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32-1-111-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000000000000
χ1704-4-444-4-44-44-2-2-2-442222222-2-22-2-2-2-2-222-222-22-2-2222-2-2111−1+3i32−1−3i322-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-111-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i322-22-21-1-111-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32-1-111-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000000000000
χ1714-4-44-444-44-44-2-2-44-4-42222-222-24-2-2-4-4-2-22-2-222-2-224422-2-21114-4-222222-1-1-1-1-1-1-2-222-222-21-1-1111-1-1-1-111-2-2111-442-22-2-222-2-22-111-1-1-11111-1-122-2-22-2-22-111-1-1-11111-1-1000000000000000000000000000000000000000000000000
χ1724-4-44-444-44-4-24-2-4422-4-422-222-2-24-222442-2-222-2-22-2-2-4-4-21-211-224-422-1-122-1-1-1-1-2-2221-1-11-222-211-1-1-1-111-21-2112-2-442-2-22-111-12-2-22-1-11111-1-122-2-2-111-12-2-22-1-11111-1-1000000000000000000000000000000000000000000000000
χ1734-4-44-444-44-4-2-24-442222-4-44-4-44-2-2422-2-2-444-4-444-4-2-2221-2-211-22-22-1-12222-1-1-1-111-1-1-222-2-222-211-1-1-1-1111-2-2112-22-2-111-12-2-222-2-22-1-11111-1-1-1-1112-2-222-2-22-1-11111-1-1000000000000000000000000000000000000000000000000
χ1744-4-44-444-44-4-2-2-2-44222222-222-2-2-2-222-2-22-2-222-2-22-2-222111−1−3i32−1+3i32-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i3211-1-11-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i322-22-2-111-1-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32-1-111-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000000000000
χ1754-4-44-444-44-4-2-2-2-44222222-222-2-2-2-222-2-22-2-222-2-22-2-222111−1+3i32−1−3i32-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i3211-1-11-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i322-22-2-111-1-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32-1-111-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000000000000
χ1764-4-44-444-4-444-2-24-4-4-422222-2-224-2-2-4-4-2-22-2-22-222-24422-2-2111-442-22222-1-1-1-1-1-122-2-22-2-22-111-1-1-11111-1-1-2-21114-4-222-2-222-2-22-111-1-1-11111-1-1-2-222-222-21-1-1111-1-1-1-111000000000000000000000000000000000000000000000000
χ1774-4-44-444-4-44-24-24-422-4-4222-2-22-24-222442-2-22-222-2-2-2-4-4-21-2112-2-4422-1-122-1-1-1-122-2-2-111-12-2-22-1-11111-1-1-21-211-224-42-2-22-111-12-2-22-1-11111-1-1-2-2221-1-11-222-211-1-1-1-111000000000000000000000000000000000000000000000000
χ1784-4-44-444-4-44-2-244-42222-4-4-444-4-2-2422-2-2-444-44-4-44-2-2221-2-2112-22-2-1-12222-1-1-1-1-1-1112-2-222-2-22-1-11111-1-11-2-211-22-22-111-12-2-222-2-22-1-11111-1-111-1-1-222-2-222-211-1-1-1-111000000000000000000000000000000000000000000000000
χ1794-4-44-444-4-44-2-2-24-42222222-2-22-2-2-222-2-22-2-22-222-2-2-222111−1−3i32−1+3i322-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-111-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i32-22-22-111-1-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i3211-1-11-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000000
χ1804-4-44-444-4-44-2-2-24-42222222-2-22-2-2-222-2-22-2-22-222-2-2-222111−1+3i32−1−3i322-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-111-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i32-22-22-111-1-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i3211-1-11-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.