Finite Group Databasebeta

← Group #72239537

Character table — Group #72239537

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11333333333344666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124848484848484848484848484848484896969696969696969696969696969696969696969696969610241024102410241024102410241024
order122244444444444444444444444444224444444444444444444444444444444444444444444444444444444444444444444444442244444488888888444488888888888888888888336612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ433333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ53333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ63333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ73333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-100000000
χ83333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333333300000000
χ93333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i33-1-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i-13-1-111−1+2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i00000000
χ103333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i-1-133-1-1-1-11111−1−2i−1−2i−1+2i−1+2i3-1-1-111−1−2i−1+2i−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i111100000000
χ113333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i-1-1-1-133-1-1−1+2i−1+2i−1−2i−1−2i1111-1-13-1−1+2i−1−2i111111−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i111100000000
χ123333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i-1-1-1-1-1-133−1−2i−1−2i−1+2i−1+2i1111-1-1-13−1−2i−1+2i11−1−2i−1−2i−1+2i−1+2i11111111−1−2i−1−2i−1+2i−1+2i00000000
χ133333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i33-1-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i-13-1-111−1−2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i00000000
χ143333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i-1-133-1-1-1-11111−1+2i−1+2i−1−2i−1−2i3-1-1-111−1+2i−1−2i−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i111100000000
χ153333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i-1-1-1-133-1-1−1−2i−1−2i−1+2i−1+2i1111-1-13-1−1−2i−1+2i111111−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i111100000000
χ163333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i-1-1-1-1-1-133−1+2i−1+2i−1−2i−1−2i1111-1-1-13−1+2i−1−2i11−1+2i−1+2i−1−2i−1−2i11111111−1+2i−1+2i−1−2i−1−2i00000000
χ173333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i1111111111111111111111111111111133-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i1111-13-1-1−1+2i−1−2i11−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i111100000000
χ183333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111111111111111111111111111-1-133-1-1-1-1−1−2i−1−2i−1+2i−1+2i11113-1-1-1−1−2i−1+2i111111−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i00000000
χ193333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111111111111111111111111111-1-1-1-133-1-11111−1+2i−1+2i−1−2i−1−2i-1-13-111−1+2i−1−2i−1+2i−1+2i−1−2i−1−2i11111111−1−2i−1−2i−1+2i−1+2i00000000
χ203333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111111111111111111111111111-1-1-1-1-1-1331111−1−2i−1−2i−1+2i−1+2i-1-1-1311−1−2i−1+2i1111−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i111100000000
χ213333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i1111111111111111111111111111111133-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i1111-13-1-1−1−2i−1+2i11−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i111100000000
χ223333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111111111111111111111111111-1-133-1-1-1-1−1+2i−1+2i−1−2i−1−2i11113-1-1-1−1+2i−1−2i111111−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i00000000
χ233333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111111111111111111111111111-1-1-1-133-1-11111−1−2i−1−2i−1+2i−1+2i-1-13-111−1−2i−1+2i−1−2i−1−2i−1+2i−1+2i11111111−1+2i−1+2i−1−2i−1−2i00000000
χ243333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111111111111111111111111111-1-1-1-1-1-1331111−1+2i−1+2i−1−2i−1−2i-1-1-1311−1+2i−1−2i1111−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i111100000000
χ25444444444444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-444444444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111-1-1-1-1
χ26444444444444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-444444444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ27444444444444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-444444444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ284-44-44444-4-4-4-44i−4i0000000000000000000000004i−4i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000011-1-1i−ii−i
χ294-44-44444-4-4-4-44i−4i0000000000000000000000004i−4i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ304-44-44444-4-4-4-44i−4i0000000000000000000000004i−4i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ314-44-44444-4-4-4-4−4i4i000000000000000000000000−4i4i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000011-1-1−ii−ii
χ324-44-44444-4-4-4-4−4i4i000000000000000000000000−4i4i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ334-44-44444-4-4-4-4−4i4i000000000000000000000000−4i4i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11
χ34666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-622222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ35666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-622222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ36666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-6-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ37666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-6-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000
χ386666-2-2-2-2-2-2-2-2-6-6222222222222-6-6-6-6-2-2-2-266-2-2222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2-22−2i2i−2i2i000000000000000000000000
χ396666-2-2-2-2-2-2-2-2-6-6222222222222-6-6-6-6-2-2-2-266-2-2222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222-2-222−2i−2i2i2i−2i−2i2i2i-222-22i−2i2i−2i000000000000000000000000
χ406666-2-2-2-2-2-2-2-2-6-6222222222222-6-6-6-6-2-2-2-266-2-222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2-222i−2i2i−2i000000000000000000000000
χ416666-2-2-2-2-2-2-2-2-6-6222222222222-6-6-6-6-2-2-2-266-2-222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i-222-2−2i2i−2i2i000000000000000000000000
χ426666-2-2-2-2-2-2-2-2-6-622222222-6-6-6-62222-2-2-2-2-2-266222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-22-2−2i2i2i−2i000000000000000000000000
χ436666-2-2-2-2-2-2-2-2-6-622222222-6-6-6-62222-2-2-2-2-2-266222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i-22-222i−2i−2i2i000000000000000000000000
χ446666-2-2-2-2-2-2-2-2-6-622222222-6-6-6-62222-2-2-2-2-2-26622−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-22-22i−2i−2i2i000000000000000000000000
χ456666-2-2-2-2-2-2-2-2-6-622222222-6-6-6-62222-2-2-2-2-2-26622−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-22222-2-22i2i−2i−2i−2i−2i2i2i-22-22−2i2i2i−2i000000000000000000000000
χ466666-2-2-2-2-2-2-2-2-6-6-6-6-6-622222222222266-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ476666-2-2-2-2-2-2-2-2-6-6-6-6-6-622222222222266-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2222222-2-222-2-2000000000000000000000000
χ486666-2-2-2-2-2-2-2-2-6-6-6-6-6-622222222222266-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000
χ496666-2-2-2-2-2-2-2-2-6-6-6-6-6-622222222222266-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-222000000000000000000000000
χ506-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i0004−2+2i−2−2i0-42+2i2−2i2-22i−2i2-22i−2i04−2+2i−2−2i0-42+2i2−2i2-22i−2i2-22i−2i22i2i−2−4i-2−2i−2i2+4i002+2i−2−2i002+2i−2−2i2−2i−2i−2+4i-22i2i2−4i002−2i−2+2i002−2i−2+2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ516-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i0004−2+2i−2−2i0-42+2i2−2i2-22i−2i2-22i−2i04−2+2i−2−2i0-42+2i2−2i2-22i−2i2-22i−2i22i2i−2−4i-2−2i−2i2+4i002+2i−2−2i002+2i−2−2i2−2i−2i−2+4i-22i2i2−4i002−2i−2+2i002−2i−2+2i-22-22−2i2i−2i2i-22-22−2i2i−2i2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ526-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i0040−2−2i−2+2i-402−2i2+2i-22−2i2i-22−2i2i40−2−2i−2+2i-402−2i2+2i-22−2i2i-22−2i2i−2−4i2i2i22+4i−2i−2i-200−2−2i2+2i00−2−2i2+2i−2+4i−2i−2i22−4i2i2i-200−2+2i2−2i00−2+2i2−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ536-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i0040−2−2i−2+2i-402−2i2+2i-22−2i2i-22−2i2i40−2−2i−2+2i-402−2i2+2i-22−2i2i-22−2i2i−2−4i2i2i22+4i−2i−2i-200−2−2i2+2i00−2−2i2+2i−2+4i−2i−2i22−4i2i2i-200−2+2i2−2i00−2+2i2−2i-22-22−2i2i−2i2i-22-22−2i2i−2i2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ546-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i00−2+2i−2−2i042−2i2+2i-40−2i2i-22−2i2i-22−2−2i−2+2i402+2i2−2i0-42i−2i2-22i−2i2-22i2−2−4i2i−2i-22+4i−2i2+2i−2−2i002+2i−2−2i00−2i2−2+4i−2i2i-22−4i2i2−2i−2+2i002−2i−2+2i002-22-22i−2i2i−2i-22-22−2i2i−2i2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ556-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i00−2+2i−2−2i042−2i2+2i-40−2i2i-22−2i2i-22−2−2i−2+2i402+2i2−2i0-42i−2i2-22i−2i2-22i2−2−4i2i−2i-22+4i−2i2+2i−2−2i002+2i−2−2i00−2i2−2+4i−2i2i-22−4i2i2−2i−2+2i002−2i−2+2i00-22-22−2i2i−2i2i2-22-22i−2i2i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ566-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i00−2−2i−2+2i402+2i2−2i0-42i−2i2-22i−2i2-2−2+2i−2−2i042−2i2+2i-40−2i2i-22−2i2i-222i−2−4i22i−2i2+4i-2−2i−2−2i2+2i00−2−2i2+2i00−2i−2+4i2−2i2i2−4i-22i−2+2i2−2i00−2+2i2−2i002-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ576-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i00−2−2i−2+2i402+2i2−2i0-42i−2i2-22i−2i2-2−2+2i−2−2i042−2i2+2i-40−2i2i-22−2i2i-222i−2−4i22i−2i2+4i-2−2i−2−2i2+2i00−2−2i2+2i00−2i−2+4i2−2i2i2−4i-22i−2+2i2−2i00−2+2i2−2i00-22-22−2i2i−2i2i2-22-22i−2i2i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
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χ596-6-2222−2−4i−2+4i-2-22−4i2+4i0000−4i4i004-42−2i2+2i−2−2i−2+2i2−2i2+2i−2−2i−2+2i2-22-2−2i2i−2i2i0004−2−2i−2+2i0-42−2i2+2i2-2−2i2i2-2−2i2i04−2−2i−2+2i0-42−2i2+2i2-2−2i2i2-2−2i2i2−2i−2i−2+4i-22i2i2−4i002−2i−2+2i002−2i−2+2i22i2i−2−4i-2−2i−2i2+4i002+2i−2−2i002+2i−2−2i-22-222i−2i2i−2i-22-222i−2i2i−2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ606-6-2222−2−4i−2+4i-2-22−4i2+4i0000−4i4i004-42−2i2+2i−2−2i−2+2i2−2i2+2i−2−2i−2+2i2-22-2−2i2i−2i2i0040−2+2i−2−2i-402+2i2−2i-222i−2i-222i−2i40−2+2i−2−2i-402+2i2−2i-222i−2i-222i−2i−2+4i−2i−2i22−4i2i2i-200−2+2i2−2i00−2+2i2−2i−2−4i2i2i22+4i−2i−2i-200−2−2i2+2i00−2−2i2+2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ616-6-2222−2−4i−2+4i-2-22−4i2+4i0000−4i4i004-42−2i2+2i−2−2i−2+2i2−2i2+2i−2−2i−2+2i2-22-2−2i2i−2i2i0040−2+2i−2−2i-402+2i2−2i-222i−2i-222i−2i40−2+2i−2−2i-402+2i2−2i-222i−2i-222i−2i−2+4i−2i−2i22−4i2i2i-200−2+2i2−2i00−2+2i2−2i−2−4i2i2i22+4i−2i−2i-200−2−2i2+2i00−2−2i2+2i-22-222i−2i2i−2i-22-222i−2i2i−2i000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ626-6-2222−2−4i−2+4i-2-22−4i2+4i0000−4i4i004-42−2i2+2i−2−2i−2+2i2−2i2+2i−2−2i−2+2i2-22-2−2i2i−2i2i00−2+2i−2−2i402−2i2+2i0-4−2i2i2-2−2i2i2-2−2−2i−2+2i042+2i2−2i-402i−2i-222i−2i-22−2i−2+4i2−2i2i2−4i-22i−2+2i2−2i00−2+2i2−2i002i−2−4i22i−2i2+4i-2−2i−2−2i2+2i00−2−2i2+2i002-22-2−2i2i−2i2i-22-222i−2i2i−2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
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χ15212-12-44−4−8i−4+8i444−8i4+8i-4-4008i−8i0000-884+4i4−4i−4+4i−4−4i4−4i4+4i−4−4i−4+4i-444-4−4i4i4i−4i0000000000-4-44444-4-40000000044-4-4-4-444000000004i4i−4i−4i−4i−4i4i4i000000004i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000

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