Finite Group Databasebeta

← Group #13088645

Character table — Group #13088645

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size145551455528101010281010103121515153121515151455514555281010102810101031215151531215151514555145552810101028101010312151515312151515145551455528101010281010103121515153121515151455514555281010102810101031215151531215151514555145552810101028101010312151515312151515
order15244210244315612126306121242044442044431561212630612123156121263061212126012121212601212123156121263061212315612126306121212601212121260121212210244210244630612126306121242044442044463061212630612126306121263061212126012121212601212126306121263061212630612126306121212601212121260121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1
χ311-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i
χ411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii
χ54-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-1000
χ611111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ7111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111
χ811-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii
χ911-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i
χ104-10004-10004-10004-1000-41000-410004-10004-10004-10004-1000-41000-410004-10004-10004-10004-1000-41000-410004-10004-10004-10004-1000-41000-410004-10004-10004-10004-1000-41000-410004-10004-10004-10004-1000-41000-41000
χ1111111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−i
χ12111-1-1-1-1-111111-1-1-1-1-111iii−i−i−i−i−iii111-1-1-1-1-111111-1-1-1-1-111iii−i−i−i−i−iii111-1-1-1-1-111111-1-1-1-1-111iii−i−i−i−i−iii111-1-1-1-1-111111-1-1-1-1-111iii−i−i−i−i−iii111-1-1-1-1-111111-1-1-1-1-111iii−i−i−i−i−iii111-1-1-1-1-111111-1-1-1-1-111iii−i−i−i−i−iii
χ1311-1i−i-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-111-1i−i-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-111-1i−i-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-111-1i−i-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-111-1i−i-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-111-1i−i-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-1
χ1411-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-11
χ154-1000-410004-1000-410004i−i000−4ii0004-1000-410004-1000-410004i−i000−4ii0004-1000-410004-1000-410004i−i000−4ii0004-1000-410004-1000-410004i−i000−4ii0004-1000-410004-1000-410004i−i000−4ii0004-1000-410004-1000-410004i−i000−4ii000
χ1611111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii
χ17111-1-1-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i111-1-1-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i111-1-1-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i111-1-1-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i111-1-1-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i111-1-1-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i
χ1811-1i−i-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-1111-1i−i-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-1111-1i−i-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-1111-1i−i-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-1111-1i−i-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-1111-1i−i-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-11
χ1911-1−ii-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-111-1−ii-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-111-1−ii-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-111-1−ii-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-111-1−ii-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-111-1−ii-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-1
χ204-1000-410004-1000-41000−4ii0004i−i0004-1000-410004-1000-41000−4ii0004i−i0004-1000-410004-1000-41000−4ii0004i−i0004-1000-410004-1000-41000−4ii0004i−i0004-1000-410004-1000-41000−4ii0004i−i0004-1000-410004-1000-41000−4ii0004i−i000
χ212222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-10000000000
χ22222-2-2222-2-2-1-1-111-1-1-1110000000000222-2-2222-2-2-1-1-111-1-1-1110000000000222-2-2222-2-2-1-1-111-1-1-1110000000000222-2-2222-2-2-1-1-111-1-1-1110000000000222-2-2222-2-2-1-1-111-1-1-1110000000000222-2-2222-2-2-1-1-111-1-1-1110000000000
χ2322-22i−2i22-22i−2i-1-11−ii-1-11−ii000000000022-22i−2i22-22i−2i-1-11−ii-1-11−ii000000000022-22i−2i22-22i−2i-1-11−ii-1-11−ii000000000022-22i−2i22-22i−2i-1-11−ii-1-11−ii000000000022-22i−2i22-22i−2i-1-11−ii-1-11−ii000000000022-22i−2i22-22i−2i-1-11−ii-1-11−ii0000000000
χ2422-2−2i2i22-2−2i2i-1-11i−i-1-11i−i000000000022-2−2i2i22-2−2i2i-1-11i−i-1-11i−i000000000022-2−2i2i22-2−2i2i-1-11i−i-1-11i−i000000000022-2−2i2i22-2−2i2i-1-11i−i-1-11i−i000000000022-2−2i2i22-2−2i2i-1-11i−i-1-11i−i000000000022-2−2i2i22-2−2i2i-1-11i−i-1-11i−i0000000000
χ258-20008-2000-41000-4100000000000008-20008-2000-41000-4100000000000008-20008-2000-41000-4100000000000008-20008-2000-41000-4100000000000008-20008-2000-41000-4100000000000008-20008-2000-41000-410000000000000
χ2622222-2-2-2-2-2-1-1-1-1-111111000000000022222-2-2-2-2-2-1-1-1-1-111111000000000022222-2-2-2-2-2-1-1-1-1-111111000000000022222-2-2-2-2-2-1-1-1-1-111111000000000022222-2-2-2-2-2-1-1-1-1-111111000000000022222-2-2-2-2-2-1-1-1-1-1111110000000000
χ27222-2-2-2-2-222-1-1-111111-1-10000000000222-2-2-2-2-222-1-1-111111-1-10000000000222-2-2-2-2-222-1-1-111111-1-10000000000222-2-2-2-2-222-1-1-111111-1-10000000000222-2-2-2-2-222-1-1-111111-1-10000000000222-2-2-2-2-222-1-1-111111-1-10000000000
χ2822-22i−2i-2-22−2i2i-1-11−ii11-1i−i000000000022-22i−2i-2-22−2i2i-1-11−ii11-1i−i000000000022-22i−2i-2-22−2i2i-1-11−ii11-1i−i000000000022-22i−2i-2-22−2i2i-1-11−ii11-1i−i000000000022-22i−2i-2-22−2i2i-1-11−ii11-1i−i000000000022-22i−2i-2-22−2i2i-1-11−ii11-1i−i0000000000
χ2922-2−2i2i-2-222i−2i-1-11i−i11-1−ii000000000022-2−2i2i-2-222i−2i-1-11i−i11-1−ii000000000022-2−2i2i-2-222i−2i-1-11i−i11-1−ii000000000022-2−2i2i-2-222i−2i-1-11i−i11-1−ii000000000022-2−2i2i-2-222i−2i-1-11i−i11-1−ii000000000022-2−2i2i-2-222i−2i-1-11i−i11-1−ii0000000000
χ308-2000-82000-410004-100000000000008-2000-82000-410004-100000000000008-2000-82000-410004-100000000000008-2000-82000-410004-100000000000008-2000-82000-410004-100000000000008-2000-82000-410004-10000000000000
χ31111111111111111111111111111111−1+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+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111111−1+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+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−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−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
χ32111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ3311-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ1111-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11
χ3411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ1111-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11
χ354-10004-10004-10004-10004-10004-1000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i320004-10004-10004-10004-10004-10004-1000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000
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χ608-2000-82000-410004-10000000000000−4+4i31−i30004−4i3−1+i30002−2i3−1+i32000−2+2i31−i320000000000000−4−4i31+i30004+4i3−1−i30002+2i3−1−i32000−2−2i31+i3200000000000008-2000-82000-410004-10000000000000−4+4i31−i30004−4i3−1+i30002−2i3−1+i32000−2+2i31−i320000000000000−4−4i31+i30004+4i3−1−i30002+2i3−1−i32000−2−2i31+i320000000000000
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χ654-10004-10004-10004-10004-10004-1000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i320004-10004-10004-10004-10004-10004-1000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000
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χ67111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
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χ954-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-1000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000-41000
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χ97111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1
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χ10411-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-1111-1−ii-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-11-1-11i−i11-1−ii-1-11i−i11-1−ii−i−ii-11ii−i1-1-1-11i−i11-1−ii-1-11i−i11-1−ii−i−ii-11ii−i1-1-1-11i−i11-1−ii-1-11i−i11-1−ii−i−ii-11ii−i1-1
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χ1112222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-2-2-2-2-211111111110000000000-2-2-2-2-2-2-2-2-2-211111111110000000000-2-2-2-2-2-2-2-2-2-211111111110000000000
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χ121111111111111111111111111111111−1+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+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−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−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+i321+i32
χ122111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-1111−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
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χ12611111111111111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111−i321−i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i32
χ127111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-11−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
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χ142222-2-2222-2-2-1-1-111-1-1-1110000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320000000000-2-2-222-2-2-222111-1-1111-1-100000000001−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i3200000000001+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i320000000000
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χ14622222-2-2-2-2-2-1-1-1-1-1111110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000-2-2-2-2-22222211111-1-1-1-1-100000000001−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i3200000000001+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i320000000000
χ147222-2-2-2-2-222-1-1-111111-1-10000000000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000-2-2-222222-2-2111-1-1-1-1-11100000000001−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i3200000000001+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i320000000000
χ14822-22i−2i-2-22−2i2i-1-11−ii11-1i−i0000000000−1+i3−1+i31−i32ζ7−2ζ71−i31−i3−1+i3−2ζ72ζ71−i321−i32−1+i32−ζ7ζ7−1+i32−1+i321−i32ζ7−ζ70000000000−1−i3−1−i31+i32ζ11−2ζ111+i31+i3−1−i3−2ζ112ζ111+i321+i32−1−i32−ζ11ζ11−1−i32−1−i321+i32ζ11−ζ110000000000-2-22−2i2i22-22i−2i11-1i−i-1-11−ii00000000001−i31−i3−1+i3−2ζ72ζ7−1+i3−1+i31−i32ζ7−2ζ7−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−ζ7ζ700000000001+i31+i3−1−i3−2ζ112ζ11−1−i3−1−i31+i32ζ11−2ζ11−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−ζ11ζ110000000000
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χ1508-2000-82000-410004-10000000000000−4+4i31−i30004−4i3−1+i30002−2i3−1+i32000−2+2i31−i320000000000000−4−4i31+i30004+4i3−1−i30002+2i3−1−i32000−2−2i31+i320000000000000-820008-20004-1000-4100000000000004−4i3−1+i3000−4+4i31−i3000−2+2i31−i320002−2i3−1+i3200000000000004+4i3−1−i3000−4−4i31+i3000−2−2i31+i320002+2i3−1−i320000000000000
χ151111111111111111111111111111111−1−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−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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+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+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−i321−i32
χ152111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-1111+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
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χ1704-1000-410004-1000-41000−4ii0004i−i000−2−2i31+i320002+2i3−1−i32000−2−2i31+i320002+2i3−1−i32000−4ζ11ζ110004ζ11−ζ11000−2+2i31−i320002−2i3−1+i32000−2+2i31−i320002−2i3−1+i32000−4ζ7ζ70004ζ7−ζ7000-410004-1000-410004-10004i−i000−4ii0002+2i3−1−i32000−2−2i31+i320002+2i3−1−i32000−2−2i31+i320004ζ11−ζ11000−4ζ11ζ110002−2i3−1+i32000−2+2i31−i320002−2i3−1+i32000−2+2i31−i320004ζ7−ζ7000−4ζ7ζ7000
χ1712222222222-1-1-1-1-1-1-1-1-1-10000000000−1−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+i320000000000−1+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−i320000000000-2-2-2-2-2-2-2-2-2-2111111111100000000001+i31+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000001−i31−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ172222-2-2222-2-2-1-1-111-1-1-1110000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320000000000-2-2-222-2-2-222111-1-1111-1-100000000001+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i3200000000001−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i320000000000
χ17322-22i−2i22-22i−2i-1-11−ii-1-11−ii0000000000−1−i3−1−i31+i32ζ11−2ζ11−1−i3−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ110000000000−1+i3−1+i31−i32ζ7−2ζ7−1+i3−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ70000000000-2-22−2i2i-2-22−2i2i11-1i−i11-1i−i00000000001+i31+i3−1−i3−2ζ112ζ111+i31+i3−1−i3−2ζ112ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ1100000000001−i31−i3−1+i3−2ζ72ζ71−i31−i3−1+i3−2ζ72ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ70000000000
χ17422-2−2i2i22-2−2i2i-1-11i−i-1-11i−i0000000000−1−i3−1−i31+i3−2ζ112ζ11−1−i3−1−i31+i3−2ζ112ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ110000000000−1+i3−1+i31−i3−2ζ72ζ7−1+i3−1+i31−i3−2ζ72ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ70000000000-2-222i−2i-2-222i−2i11-1−ii11-1−ii00000000001+i31+i3−1−i32ζ11−2ζ111+i31+i3−1−i32ζ11−2ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ1100000000001−i31−i3−1+i32ζ7−2ζ71−i31−i3−1+i32ζ7−2ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ70000000000
χ1758-20008-2000-41000-410000000000000−4−4i31+i3000−4−4i31+i30002+2i3−1−i320002+2i3−1−i320000000000000−4+4i31−i3000−4+4i31−i30002−2i3−1+i320002−2i3−1+i320000000000000-82000-820004-10004-100000000000004+4i3−1−i30004+4i3−1−i3000−2−2i31+i32000−2−2i31+i3200000000000004−4i3−1+i30004−4i3−1+i3000−2+2i31−i32000−2+2i31−i320000000000000
χ17622222-2-2-2-2-2-1-1-1-1-1111110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000-2-2-2-2-22222211111-1-1-1-1-100000000001+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i3200000000001−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i320000000000
χ177222-2-2-2-2-222-1-1-111111-1-10000000000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000-2-2-222222-2-2111-1-1-1-1-11100000000001+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i3200000000001−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i320000000000
χ17822-22i−2i-2-22−2i2i-1-11−ii11-1i−i0000000000−1−i3−1−i31+i32ζ11−2ζ111+i31+i3−1−i3−2ζ112ζ111+i321+i32−1−i32−ζ11ζ11−1−i32−1−i321+i32ζ11−ζ110000000000−1+i3−1+i31−i32ζ7−2ζ71−i31−i3−1+i3−2ζ72ζ71−i321−i32−1+i32−ζ7ζ7−1+i32−1+i321−i32ζ7−ζ70000000000-2-22−2i2i22-22i−2i11-1i−i-1-11−ii00000000001+i31+i3−1−i3−2ζ112ζ11−1−i3−1−i31+i32ζ11−2ζ11−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−ζ11ζ1100000000001−i31−i3−1+i3−2ζ72ζ7−1+i3−1+i31−i32ζ7−2ζ7−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−ζ7ζ70000000000
χ17922-2−2i2i-2-222i−2i-1-11i−i11-1−ii0000000000−1−i3−1−i31+i3−2ζ112ζ111+i31+i3−1−i32ζ11−2ζ111+i321+i32−1−i32ζ11−ζ11−1−i32−1−i321+i32−ζ11ζ110000000000−1+i3−1+i31−i3−2ζ72ζ71−i31−i3−1+i32ζ7−2ζ71−i321−i32−1+i32ζ7−ζ7−1+i32−1+i321−i32−ζ7ζ70000000000-2-222i−2i22-2−2i2i11-1−ii-1-11i−i00000000001+i31+i3−1−i32ζ11−2ζ11−1−i3−1−i31+i3−2ζ112ζ11−1−i32−1−i321+i32−ζ11ζ111+i321+i32−1−i32ζ11−ζ1100000000001−i31−i3−1+i32ζ7−2ζ7−1+i3−1+i31−i3−2ζ72ζ7−1+i32−1+i321−i32−ζ7ζ71−i321−i32−1+i32ζ7−ζ70000000000
χ1808-2000-82000-410004-10000000000000−4−4i31+i30004+4i3−1−i30002+2i3−1−i32000−2−2i31+i320000000000000−4+4i31−i30004−4i3−1+i30002−2i3−1+i32000−2+2i31−i320000000000000-820008-20004-1000-4100000000000004+4i3−1−i3000−4−4i31+i3000−2−2i31+i320002+2i3−1−i3200000000000004−4i3−1+i3000−4+4i31−i3000−2+2i31−i320002−2i3−1+i320000000000000

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