Finite Group Databasebeta

← Group #72220078

Character table — Group #72220078

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222223333444444444444666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121236363636363636363636363636363636363636363636363636363636363636363636108108108108108108
order122223366666633663666666666663366666666666699918181818181818181824666666999121218181818181818181818181818181818181818181818181818181844661212121212121212121212121212121212121818181818183636363636364412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321111111−1−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+i3211−1−i32−1+i321111−1−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+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321111111−1−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−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ71111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321111111−1−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+i32111+i321−i3211111+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+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ81111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321111111−1−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+i32-1-11+i321−i32-1-1-1-11+i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321111111−1+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−i3211−1+i32−1−i321111−1+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−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321111111−1+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+i32−1−i32-1-1-1-1−1+i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ111111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321111111−1+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−i32111−i321+i3211111−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−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ121111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321111111−1+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−i32-1-11−i321+i32-1-1-1-11−i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ13111-1-1111111-1-1111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111-1111-11-1111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-1-1-1i−i11ii−i−i-1-1iii−i−i−iiii−i−i−i111111-1-1-1-1-1-1i−ii−ii−i
χ14111-1-1111111-1-1111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111-1111-11-1111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-1-1-1−ii11−i−iii-1-1−i−i−iiii−i−i−iiii111111-1-1-1-1-1-1−ii−ii−ii
χ15111-1-1111111-1-1111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-11-1-11-11-111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-1-1-1i−i-1-1ii−i−i11iii−i−i−iiii−i−i−i-1-1-1-1-1-1111111−ii−ii−ii
χ16111-1-1111111-1-1111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-11-1-11-11-111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-1-1-1−ii-1-1−i−iii11−i−i−iiii−i−i−iiii-1-1-1-1-1-1111111i−ii−ii−i
χ17111-1-1111111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-111−1−i321+i32−1+i321−i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32i−i−1−i32−1+i32ii−i−i1+i321−i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ711−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32i−iζ11−ζ11ζ7−ζ7
χ18111-1-1111111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-111−1−i321+i32−1+i321−i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ii−1−i32−1+i32−i−iii1+i321−i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ711−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−ii−ζ11ζ11−ζ7ζ7
χ19111-1-1111111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11-1-1−1−i321+i32−1+i321−i321−1−i32−1+i3211-1-11+i321+i321−i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32i−i1+i321−i32ii−i−i−1−i32−1+i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−ii−ζ11ζ11−ζ7ζ7
χ20111-1-1111111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11-1-1−1−i321+i32−1+i321−i321−1−i32−1+i3211-1-11+i321+i321−i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ii1+i321−i32−i−iii−1−i32−1+i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32i−iζ11−ζ11ζ7−ζ7
χ21111-1-1111111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-111−1+i321−i32−1−i321+i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32i−i−1+i32−1−i32ii−i−i1−i321+i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ1111−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32i−iζ7−ζ7ζ11−ζ11
χ22111-1-1111111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-111−1+i321−i32−1−i321+i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ii−1+i32−1−i32−i−iii1−i321+i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ1111−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−ii−ζ7ζ7−ζ11ζ11
χ23111-1-1111111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11-1-1−1+i321−i32−1−i321+i321−1+i32−1−i3211-1-11−i321−i321+i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32i−i1−i321+i32ii−i−i−1+i32−1−i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−ii−ζ7ζ7−ζ11ζ11
χ24111-1-1111111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11-1-1−1+i321−i32−1−i321+i321−1+i32−1−i3211-1-11−i321−i321+i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ii1−i321+i32−i−iii−1+i32−1−i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32i−iζ7−ζ7ζ11−ζ11
χ252222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000022000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000
χ262222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2000000000000111111111111000000
χ272222222222222−1−i3−1+i3−1−i3−1+i3222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i322222−1−i3−1−i3−1+i3−1+i3-11+i321−i3222-1-11+i321+i321−i321−i32-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i3200−1−i3−1+i30000−1−i3−1+i3000000000000-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000
χ282222222222222−1−i3−1+i3−1−i3−1+i3222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i32-2-2-1-11+i321+i321−i321−i32-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32001+i31−i300001+i31−i300000000000011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000
χ292222222222222−1+i3−1−i3−1+i3−1−i3222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i322222−1+i3−1+i3−1−i3−1−i3-11−i321+i3222-1-11−i321−i321+i321+i32-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i3200−1+i3−1−i30000−1+i3−1−i3000000000000-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000
χ302222222222222−1+i3−1−i3−1+i3−1−i3222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i32-2-2-1-11−i321−i321+i321+i32-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32001−i31+i300001−i31+i300000000000011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000
χ3122222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1222222222222220000-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-1002-1-12-1-12-1-12-1-1000000000000000000
χ3222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1222222222222220000-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100-211-211-211-211000000000000000000
χ3322222-12-1222-1-1−1−i3−1+i3−1−i3−1+i3-1-1-122-1-1-1-1-1-1-11+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i300001+i321+i321−i321−i32-11+i321−i320022−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i322200-1-1-1-100−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000000000
χ3422222-12-1222-1-1−1−i3−1+i3−1−i3−1+i3-1-1-122-1-1-1-1-1-1-11+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i300001+i321+i321−i321−i32-11+i321−i320022−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32-2-2001111001+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000000000
χ3522222-12-1222-1-1−1+i3−1−i3−1+i3−1−i3-1-1-122-1-1-1-1-1-1-11−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i300001−i321−i321+i321+i32-11−i321+i320022−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i322200-1-1-1-100−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000000000
χ3622222-12-1222-1-1−1+i3−1−i3−1+i3−1−i3-1-1-122-1-1-1-1-1-1-11−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i300001−i321−i321+i321+i32-11−i321+i320022−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32-2-2001111001−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000000000
χ37222-2-2222222-2-2222222-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12-2222-22-2-1-1-1-2-2111111-1-1-11111-1-1-11111-1-1-1111100220000-2-2000000000000-1-1-1-1-1-1111111000000
χ38222-2-2222222-2-2222222-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-22-2-22-22-2-1-1-122111111-1-1-11111-1-1-11111-1-1-1111100-2-2000022000000000000111111-1-1-1-1-1-1000000
χ39222-2-2222222-2-2−1−i3−1+i3−1−i3−1+i322-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i322-222−1−i31+i3−1+i31−i3-11+i321−i32-2-211−1−i32−1−i32−1+i32−1+i32-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1−i3−1+i300001+i31−i3000000000000-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000
χ40222-2-2222222-2-2−1−i3−1+i3−1−i3−1+i322-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-22-2-2−1−i31+i3−1+i31−i3-11+i321−i322211−1−i32−1−i32−1+i32−1+i32-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001+i31−i30000−1−i3−1+i300000000000011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000
χ41222-2-2222222-2-2−1+i3−1−i3−1+i3−1−i322-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i322-222−1+i31−i3−1−i31+i3-11−i321+i32-2-211−1+i32−1+i32−1−i32−1−i32-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1+i3−1−i300001−i31+i3000000000000-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000
χ42222-2-2222222-2-2−1+i3−1−i3−1+i3−1−i322-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-22-2-2−1+i31−i3−1−i31+i3-11−i321+i322211−1+i32−1+i32−1−i32−1−i32-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001−i31+i30000−1+i3−1−i300000000000011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000
χ43222-2-2-12-1222112222-1-11-2-2-1-1-11111-1-122-1-1-2-21111-2-22222222222220000-11-11-1-1-100-2-2-2-2-2-2-1-1-11111-1-1-11111-1-1-111112i−2i00−i−iii002i−i−i−2iii2i−i−i−2iii000000000000000000
χ44222-2-2-12-1222112222-1-11-2-2-1-1-11111-1-122-1-1-2-21111-2-22222222222220000-11-11-1-1-100-2-2-2-2-2-2-1-1-11111-1-1-11111-1-1-11111−2i2i00ii−i−i00−2iii2i−i−i−2iii2i−i−i000000000000000000
χ45222-2-2-12-122211−1−i3−1+i3−1−i3−1+i3-1-11-2-2-1-1-111111+i321−i32−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i300001+i32−1−i321−i32−1+i32-11+i321−i3200-2-21+i31+i31−i31−i3-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i322i−2i00−i−iii002ζ11−ζ11−ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ7−2ζ7ζ7ζ7000000000000000000
χ46222-2-2-12-122211−1−i3−1+i3−1−i3−1+i3-1-11-2-2-1-1-111111+i321−i32−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i300001+i32−1−i321−i32−1+i32-11+i321−i3200-2-21+i31+i31−i31−i3-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−2i2i00ii−i−i00−2ζ11ζ11ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ72ζ7−ζ7−ζ7000000000000000000
χ47222-2-2-12-122211−1+i3−1−i3−1+i3−1−i3-1-11-2-2-1-1-111111−i321+i32−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i300001−i32−1+i321+i32−1−i32-11−i321+i3200-2-21−i31−i31+i31+i3-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i322i−2i00−i−iii002ζ7−ζ7−ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ11−2ζ11ζ11ζ11000000000000000000
χ48222-2-2-12-122211−1+i3−1−i3−1+i3−1−i3-1-11-2-2-1-1-111111−i321+i32−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i300001−i32−1+i321+i32−1−i32-11−i321+i3200-2-21−i31−i31+i31+i3-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−2i2i00ii−i−i00−2ζ7ζ7ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ112ζ11−ζ11−ζ11000000000000000000
χ4922-22-2222-2-222222222-2-22-22-2-222-2-222-2-222222222-2-2222-2-2-2-2-2-22220000-2-2-2-2222002-22-22-22-2-222-2-22-2-222-2-22-2-222-2-20000000000000000000000000000000000000000
χ5022-22-2222-2-222222222-2-22-22-2-222-2-222-2-222222222-2-2-1-1-1111111-1-1-10000-2-2-2-2-1-1-100-11-11-11-111-1-111-111-1-111-111-1-1110000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000
χ5122-22-2222-2-222222222-2-22-22-2-222-2-222-2-222222222-2-2-1-1-1111111-1-1-10000-2-2-2-2-1-1-100-11-11-11-111-1-111-111-1-111-111-1-1110000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000
χ5222-22-2222-2-2222−1−i3−1+i3−1−i3−1+i32-2-22-22-2-222-2-2−1−i3−1+i31+i31−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i32−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i300001+i31+i31−i31−i32−1−i3−1+i3002-2−1−i31+i3−1+i31−i32-2-222-2-2−1−i31+i31+i3−1−i3−1−i31+i31+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000000000000000000000000000000000000000
χ5322-22-2222-2-2222−1−i3−1+i3−1−i3−1+i32-2-22-22-2-222-2-2−1−i3−1+i31+i31−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3200001+i31+i31−i31−i3-11+i321−i3200-111+i32−1−i321−i32−1+i32-111-1-1111+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32000000
χ5422-22-2222-2-2222−1−i3−1+i3−1−i3−1+i32-2-22-22-2-222-2-2−1−i3−1+i31+i31−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3200001+i31+i31−i31−i3-11+i321−i3200-111+i32−1−i321−i32−1+i32-111-1-1111+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32000000
χ5522-22-2222-2-2222−1+i3−1−i3−1+i3−1−i32-2-22-22-2-222-2-2−1+i3−1−i31−i31+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i32−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i300001−i31−i31+i31+i32−1+i3−1−i3002-2−1+i31−i3−1−i31+i32-2-222-2-2−1+i31−i31−i3−1+i3−1+i31−i31−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000000000000000000000000000000000000000
χ5622-22-2222-2-2222−1+i3−1−i3−1+i3−1−i32-2-22-22-2-222-2-2−1+i3−1−i31−i31+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i3200001−i31−i31+i31+i3-11−i321+i3200-111−i32−1+i321+i32−1−i32-111-1-1111−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i32000000
χ5722-22-2222-2-2222−1+i3−1−i3−1+i3−1−i32-2-22-22-2-222-2-2−1+i3−1−i31−i31+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i3200001−i31−i31+i31+i3-11−i321+i3200-111−i32−1+i321+i32−1−i32-111-1-1111−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.