Finite Group Databasebeta

← Group #11788810

Character table — Group #11788810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189
size112222222222244444444444444444444444444444444444444444424242424242424241122222222222444444444444444444444444444444444444444444242424242424242411222222222224444444444444444444444444444444444444444442424242424242424
order1222234444666444444444444661212121212121212121212121212121212121212121212121212121224448888366663121212126661212121212121212121212126612121212121212121212121212121212121212121212121212121212612121224242424366663121212126661212121212121212121212126612121212121212121212121212121212121212121212121212121212612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ51111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911-1-11111-1-1-1-1111-1-1ii−i−iii−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-11-1i−ii−i11-1-11111-1-1-1-1111-1-1ii−i−iii−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-11-1i−ii−i11-1-11111-1-1-1-1111-1-1ii−i−iii−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-11-1i−ii−i
χ1011-1-11111-1-1-1-1111-1-1ii−i−iii−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-11-11−ii−ii11-1-11111-1-1-1-1111-1-1ii−i−iii−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-11-11−ii−ii11-1-11111-1-1-1-1111-1-1ii−i−iii−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-11-11−ii−ii
χ1111-1-11111-1-1-1-1111-1-1−i−iii−i−iii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-11-1−ii−ii11-1-11111-1-1-1-1111-1-1−i−iii−i−iii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-11-1−ii−ii11-1-11111-1-1-1-1111-1-1−i−iii−i−iii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-11-1−ii−ii
χ1211-1-11111-1-1-1-1111-1-1−i−iii−i−iii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-11-11i−ii−i11-1-11111-1-1-1-1111-1-1−i−iii−i−iii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-11-11i−ii−i11-1-11111-1-1-1-1111-1-1−i−iii−i−iii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-11-11i−ii−i
χ1311-1-11111-1-1-1-11-1-111ii−i−i−i−iii1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-111111-1-11i−i−ii11-1-11111-1-1-1-11-1-111ii−i−i−i−iii1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-111111-1-11i−i−ii11-1-11111-1-1-1-11-1-111ii−i−i−i−iii1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-111111-1-11i−i−ii
χ1411-1-11111-1-1-1-11-1-111ii−i−i−i−iii1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111-111-1−iii−i11-1-11111-1-1-1-11-1-111ii−i−i−i−iii1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111-111-1−iii−i11-1-11111-1-1-1-11-1-111ii−i−i−i−iii1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111-111-1−iii−i
χ1511-1-11111-1-1-1-11-1-111−i−iiiii−i−i1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-111111-1-11−iii−i11-1-11111-1-1-1-11-1-111−i−iiiii−i−i1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-111111-1-11−iii−i11-1-11111-1-1-1-11-1-111−i−iiiii−i−i1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-111111-1-11−iii−i
χ1611-1-11111-1-1-1-11-1-111−i−iiiii−i−i1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111-111-1i−i−ii11-1-11111-1-1-1-11-1-111−i−iiiii−i−i1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111-111-1i−i−ii11-1-11111-1-1-1-11-1-111−i−iiiii−i−i1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111-111-1i−i−ii
χ17222222-2-2-2-22222-22-200000000220000000000000000-2-2-2-222-2-222-2-200000000222222-2-2-2-22222-22-200000000220000000000000000-2-2-2-222-2-222-2-200000000222222-2-2-2-22222-22-200000000220000000000000000-2-2-2-222-2-222-2-200000000
χ18222222-2-2-2-2222-22-2200000000220000000000000000-2-2-2-2-2-222-2-22200000000222222-2-2-2-2222-22-2200000000220000000000000000-2-2-2-2-2-222-2-22200000000222222-2-2-2-2222-22-2200000000220000000000000000-2-2-2-2-2-222-2-22200000000
χ1922222-12222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ2022222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000
χ2122222-12222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111110000000022222-12222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111110000000022222-12222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111100000000
χ2222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000022222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000022222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000
χ2322222-1-2-2-2-2-1-1-12-22-200000000-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111-1-111-1-1110000000022222-1-2-2-2-2-1-1-12-22-200000000-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111-1-111-1-1110000000022222-1-2-2-2-2-1-1-12-22-200000000-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111-1-111-1-11100000000
χ2422222-1-2-2-2-2-1-1-12-22-200000000-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111-1-111-1-1110000000022222-1-2-2-2-2-1-1-12-22-200000000-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111-1-111-1-1110000000022222-1-2-2-2-2-1-1-12-22-200000000-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111-1-111-1-11100000000
χ2522222-1-2-2-2-2-1-1-1-22-2200000000-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3111111-1-111-1-10000000022222-1-2-2-2-2-1-1-1-22-2200000000-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3111111-1-111-1-10000000022222-1-2-2-2-2-1-1-1-22-2200000000-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3111111-1-111-1-100000000
χ2622222-1-2-2-2-2-1-1-1-22-2200000000-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3111111-1-111-1-10000000022222-1-2-2-2-2-1-1-1-22-2200000000-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3111111-1-111-1-10000000022222-1-2-2-2-2-1-1-1-22-2200000000-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3111111-1-111-1-100000000
χ27222-2-222-22-2-2-22000000002i−2i2i−2i-22000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000222-2-222-22-2-2-22000000002i−2i2i−2i-22000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000222-2-222-22-2-2-22000000002i−2i2i−2i-22000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000
χ28222-2-222-22-2-2-2200000000−2i2i−2i2i-2200000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000222-2-222-22-2-2-2200000000−2i2i−2i2i-2200000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000222-2-222-22-2-2-2200000000−2i2i−2i2i-2200000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000
χ29222-2-22-22-22-2-2200002i−2i2i−2i0000-222i−2i2i−2i2i−2i2i−2i00000000-22-220000000000000000222-2-22-22-22-2-2200002i−2i2i−2i0000-222i−2i2i−2i2i−2i2i−2i00000000-22-220000000000000000222-2-22-22-22-2-2200002i−2i2i−2i0000-222i−2i2i−2i2i−2i2i−2i00000000-22-220000000000000000
χ30222-2-22-22-22-2-220000−2i2i−2i2i0000-22−2i2i−2i2i−2i2i−2i2i00000000-22-220000000000000000222-2-22-22-22-2-220000−2i2i−2i2i0000-22−2i2i−2i2i−2i2i−2i2i00000000-22-220000000000000000222-2-22-22-22-2-220000−2i2i−2i2i0000-22−2i2i−2i2i−2i2i−2i2i00000000-22-220000000000000000
χ31222-2-2-12-22-211-1000000002i−2i2i−2i1-13−3−333−3−33−ii−ii−ii−ii-11-11−i3i3−i3i3−i3i3−i3i300000000222-2-2-12-22-211-1000000002i−2i2i−2i1-13−3−333−3−33−ii−ii−ii−ii-11-11−i3i3−i3i3−i3i3−i3i300000000222-2-2-12-22-211-1000000002i−2i2i−2i1-13−3−333−3−33−ii−ii−ii−ii-11-11−i3i3−i3i3−i3i3−i3i300000000
χ32222-2-2-12-22-211-1000000002i−2i2i−2i1-1−333−3−333−3−ii−ii−ii−ii-11-11i3−i3i3−i3i3−i3i3−i300000000222-2-2-12-22-211-1000000002i−2i2i−2i1-1−333−3−333−3−ii−ii−ii−ii-11-11i3−i3i3−i3i3−i3i3−i300000000222-2-2-12-22-211-1000000002i−2i2i−2i1-1−333−3−333−3−ii−ii−ii−ii-11-11i3−i3i3−i3i3−i3i3−i300000000
χ33222-2-2-12-22-211-100000000−2i2i−2i2i1-13−3−333−3−33i−ii−ii−ii−i-11-11i3−i3i3−i3i3−i3i3−i300000000222-2-2-12-22-211-100000000−2i2i−2i2i1-13−3−333−3−33i−ii−ii−ii−i-11-11i3−i3i3−i3i3−i3i3−i300000000222-2-2-12-22-211-100000000−2i2i−2i2i1-13−3−333−3−33i−ii−ii−ii−i-11-11i3−i3i3−i3i3−i3i3−i300000000
χ34222-2-2-12-22-211-100000000−2i2i−2i2i1-1−333−3−333−3i−ii−ii−ii−i-11-11−i3i3−i3i3−i3i3−i3i300000000222-2-2-12-22-211-100000000−2i2i−2i2i1-1−333−3−333−3i−ii−ii−ii−i-11-11−i3i3−i3i3−i3i3−i3i300000000222-2-2-12-22-211-100000000−2i2i−2i2i1-1−333−3−333−3i−ii−ii−ii−i-11-11−i3i3−i3i3−i3i3−i3i300000000
χ35222-2-2-1-22-2211-100002i−2i2i−2i00001-1−ii−ii−ii−ii3−3−333−3−331-11-1−i3i3i3−i3−i3i3i3−i300000000222-2-2-1-22-2211-100002i−2i2i−2i00001-1−ii−ii−ii−ii3−3−333−3−331-11-1−i3i3i3−i3−i3i3i3−i300000000222-2-2-1-22-2211-100002i−2i2i−2i00001-1−ii−ii−ii−ii3−3−333−3−331-11-1−i3i3i3−i3−i3i3i3−i300000000
χ36222-2-2-1-22-2211-100002i−2i2i−2i00001-1−ii−ii−ii−ii−333−3−333−31-11-1i3−i3−i3i3i3−i3−i3i300000000222-2-2-1-22-2211-100002i−2i2i−2i00001-1−ii−ii−ii−ii−333−3−333−31-11-1i3−i3−i3i3i3−i3−i3i300000000222-2-2-1-22-2211-100002i−2i2i−2i00001-1−ii−ii−ii−ii−333−3−333−31-11-1i3−i3−i3i3i3−i3−i3i300000000
χ37222-2-2-1-22-2211-10000−2i2i−2i2i00001-1i−ii−ii−ii−i3−3−333−3−331-11-1i3−i3−i3i3i3−i3−i3i300000000222-2-2-1-22-2211-10000−2i2i−2i2i00001-1i−ii−ii−ii−i3−3−333−3−331-11-1i3−i3−i3i3i3−i3−i3i300000000222-2-2-1-22-2211-10000−2i2i−2i2i00001-1i−ii−ii−ii−i3−3−333−3−331-11-1i3−i3−i3i3i3−i3−i3i300000000
χ38222-2-2-1-22-2211-10000−2i2i−2i2i00001-1i−ii−ii−ii−i−333−3−333−31-11-1−i3i3i3−i3−i3i3i3−i300000000222-2-2-1-22-2211-10000−2i2i−2i2i00001-1i−ii−ii−ii−i−333−3−333−31-11-1−i3i3i3−i3−i3i3i3−i300000000222-2-2-1-22-2211-10000−2i2i−2i2i00001-1i−ii−ii−ii−i−333−3−333−31-11-1−i3i3i3−i3−i3i3i3−i300000000
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χ8422222-12222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
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χ1331111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1341111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ144222222-2-2-2-2222-22-2200000000220000000000000000-2-2-2-2-2-222-2-22200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i300000000−1−i3−1−i300000000000000001+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i300000000−1+i3−1+i300000000000000001−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000
χ14522222-12222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ14622222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ14722222-12222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ14822222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ14922222-1-2-2-2-2-1-1-12-22-200000000-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111-1-111-1-11100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i31+i3−1−i31+i3000000001+i321+i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i31−i3−1+i31−i3000000001−i321−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ15022222-1-2-2-2-2-1-1-12-22-200000000-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111-1-111-1-11100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i31+i3−1−i31+i3000000001+i321+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i31−i3−1+i31−i3000000001−i321−i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ15122222-1-2-2-2-2-1-1-1-22-2200000000-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3111111-1-111-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i3−1−i31+i3−1−i3000000001+i321+i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i3−1+i31−i3−1+i3000000001−i321−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200000000
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χ18022-2-22-122-2-211-122-2-2−2i−2i2i2i−2i−2i2i2i-11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1111100000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i32−1−i3−1−i31+i31+i3−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ111+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i32−1+i3−1+i31−i31−i3−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ71−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ18122-2-22-122-2-211-1-2-2222i2i−2i−2i−2i−2i2i2i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1111111-1-1-1-100000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i31+i3−1−i3−1−i32ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ111+i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i31−i3−1+i3−1+i32ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ71−i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ18222-2-22-122-2-211-1-2-222−2i−2i2i2i2i2i−2i−2i-11iiii−i−i−i−i−i−i−i−iiiii-1-1111111-1-1-1-100000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i31+i3−1−i3−1−i3−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ11−2ζ111+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i31−i3−1+i3−1+i3−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ7−2ζ71−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ18322-2-22-1-2-22211-12-2-2200000000-1133−3−3−3−33333−3−3−3−33311-1-1-1-11111-1-100000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i31+i31+i3−1−i3000000001+i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i31−i31−i3−1+i3000000001−i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ18422-2-22-1-2-22211-12-2-2200000000-11−3−33333−3−3−3−33333−3−311-1-1-1-11111-1-100000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i31+i31+i3−1−i3000000001+i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i31−i31−i3−1+i3000000001−i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ18522-2-22-1-2-22211-1-222-200000000-1133−3−3−3−333−3−33333−3−311-1-111-1-1-1-11100000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i3−1−i3−1−i31+i3000000001+i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i3−1+i3−1+i31−i3000000001−i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200000000
χ18622-2-22-1-2-22211-1-222-200000000-11−3−33333−3−333−3−3−3−33311-1-111-1-1-1-11100000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i3−1−i3−1−i31+i3000000001+i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i3−1+i3−1+i31−i3000000001−i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200000000
χ1878-80008000000-800000000000000000000000000000000000000000000000000−4−4i34+4i3000−4−4i30000004+4i300000000000000000000000000000000000000000000000000−4+4i34−4i3000−4+4i30000004−4i300000000000000000000000000000000000000000000000000
χ1888-8000-40000−4i34i3400000000000000000000000000000000000000000000000000−4−4i34+4i30002+2i30000−6+2i36−2i3−2−2i300000000000000000000000000000000000000000000000000−4+4i34−4i30002−2i300006+2i3−6−2i3−2+2i300000000000000000000000000000000000000000000000000
χ1898-8000-400004i3−4i3400000000000000000000000000000000000000000000000000−4−4i34+4i30002+2i300006−2i3−6+2i3−2−2i300000000000000000000000000000000000000000000000000−4+4i34−4i30002−2i30000−6−2i36+2i3−2+2i300000000000000000000000000000000000000000000000000

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