Finite Group Databasebeta

← Group #11721607

Character table — Group #11721607

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111222222222233333333666666666666666666666666666618181818181818181818181811112222222222333333336666666666666666666666666666181818181818181818181818
order122234466612121212336666669991212121218181818181818181836363636363636363636363644441212121212121212222264466612121212666666661818181212121218181818181818181836363636363636363636363644441212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ711111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ811111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-1111-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ911111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1011111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ1211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ131-11-111-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-111111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i1-11-111-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-111111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ141-11-111-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-111111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii1-11-111-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-111111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ151-11-111-1-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-11-111-1-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ161-11-111-1-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71-11-111-1-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ171-11-111-1-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111-11-111-1-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ181-11-111-1-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111-11-111-1-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ191-11-11-11-1-11-1-11111-1-111-1-1111-11-11-1-1-1-1-1-1111-1-111-1-111-1-111i−i−iii−i−iii−i−ii1-11-11-11-1-11-1-11111-1-111-1-1111-11-11-1-1-1-1-1-1111-1-111-1-111-1-111i−i−iii−i−iii−i−ii
χ201-11-11-11-1-11-1-11111-1-111-1-1111-11-11-1-1-1-1-1-1111-1-111-1-111-1-111−iii−i−iii−i−iii−i1-11-11-11-1-11-1-11111-1-111-1-1111-11-11-1-1-1-1-1-1111-1-111-1-111-1-111−iii−i−iii−i−iii−i
χ211-11-11-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71-11-11-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ221-11-11-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71-11-11-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ231-11-11-11-1-11-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111-11-11-11-1-11-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ241-11-11-11-1-11-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111-11-11-11-1-11-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ252222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2622222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ2722222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000022222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ2822222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-111111111111100000000000022222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000
χ2922222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000022222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ3022222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000022222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3122-2-22002-2-200002222-2-2-2-222200002-22-22-2-2-2-200000000000000000000000022-2-22002-2-200002222-2-2-2-222200002-22-22-2-2-2-2000000000000000000000000
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χ7111111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ7211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ7311111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ7411111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ751-11-111-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-111111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i-11-11-1-1111-1-1-111-1-111-1-111-1-1-1-11-11111111-1-1-1-1-111-1-111-1-111−ii−ii−ii−ii−ii−ii
χ761-11-111-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-111111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii-11-11-1-1111-1-1-111-1-111-1-111-1-1-1-11-11111111-1-1-1-1-111-1-111-1-111i−ii−ii−ii−ii−ii−i
χ771-11-111-1-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-11-11-1-1111-1-1-1111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
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χ791-11-111-1-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-11-11-1-1111-1-1-1111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
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χ821-11-11-11-1-11-1-11111-1-111-1-1111-11-11-1-1-1-1-1-1111-1-111-1-111-1-111−iii−i−iii−i−iii−i-11-11-11-111-111-1-1-1-111-1-111-1-1-11-11-1111111-1-1-111-1-111-1-111-1-1i−i−iii−i−iii−i−ii
χ831-11-11-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7-11-11-11-111-111-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
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χ872222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2-2-2111111111111111111111000000000000
χ8822222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i31−1−i32−1+i321+i31+i31−i31−i311−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ8922222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i31−1+i32−1−i321−i31−i31+i31+i311−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ9022222-2-2222-2-2-2-222222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000-2-2-2-2-222-2-2-22222-2-2-2-2-2-2-2-21112222111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ9122222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-2-2-2-2-222-2-2-222221+i31−i31+i31−i31+i31−i31+i31−i31−1−i32−1+i32−1−i3−1−i3−1+i3−1+i311−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ9222222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000-2-2-2-2-222-2-2-222221−i31+i31−i31+i31−i31+i31−i31+i31−1+i32−1−i32−1+i3−1+i3−1−i3−1−i311−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ9322-2-22002-2-200002222-2-2-2-222200002-22-22-2-2-2-2000000000000000000000000-2-222-200-2220000-2-2-2-22222-2-2-20000-22-22-22222000000000000000000000000
χ9422-2-22002-2-200002222-2-2-2-2-1-1-10000-11-11-111113−33−33−33−33−33−3000000000000-2-222-200-2220000-2-2-2-2222211100001-11-11-1-1-1-1−33−33−33−33−33−33000000000000
χ9522-2-22002-2-200002222-2-2-2-2-1-1-10000-11-11-11111−33−33−33−33−33−33000000000000-2-222-200-2220000-2-2-2-2222211100001-11-11-1-1-1-13−33−33−33−33−33−3000000000000
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χ10022-2-22002-2-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3-11−i321+i320000-111−i32−1+i321+i32−1−i321−1+i32−1−i323−33−3−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000000000-2-222-200-22200001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i31−1+i32−1−i3200001-1−1+i321−i32−1−i321+i32-11−i321+i32−33−33ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000000000
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χ1022-22-222-2-2-2222-2-222-2-222-2-2-1-1-12-22-2111111-1-1-1-1-111-1-111-1-111000000000000-22-22-2-2222-2-2-222-2-222-2-222111-22-22-1-1-1-1-1-111111-1-111-1-111-1-1000000000000
χ1032-22-222-2-2-2222-2-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-11+i321−i32−1−i31+i3−1+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000-22-22-2-2222-2-2-2221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i31−1−i32−1+i321+i3−1−i31−i3−1+i3-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000
χ1042-22-222-2-2-2222-2-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-11−i321+i32−1+i31−i3−1−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000-22-22-2-2222-2-2-2221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i31−1+i32−1−i321−i3−1+i31+i3−1−i3-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000
χ1052-22-22-22-2-22-2-22222-2-222-2-2-1-1-1-22-22111111-1-1-111-1-111-1-111-1-1000000000000-22-22-22-222-222-2-2-2-222-2-2221112-22-2-1-1-1-1-1-1111-1-111-1-111-1-111000000000000
χ1062-22-22-22-2-22-2-222−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-11+i321−i321+i3−1−i31−i3−1+i311−1−i32−1−i32−1+i32−1+i32-11+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000-22-22-22-222-222-2-21+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i31−1−i32−1+i32−1−i31+i3−1+i31−i3-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000
χ1072-22-22-22-2-22-2-222−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-11−i321+i321−i3−1+i31+i3−1−i311−1+i32−1+i32−1−i32−1−i32-11−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000-22-22-22-222-222-2-21−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i31−1+i32−1−i32−1+i31−i3−1−i31+i3-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000
χ1082-2-22200-22-2000022-2-2-2-2222220000-22-22-22-2-2-2000000000000000000000000-222-2-2002-220000-2-22222-2-2-2-2-200002-22-22-2222000000000000000000000000
χ1092-2-22200-22-2000022-2-2-2-222-1-1-100001-11-11-11113−3−333−3−333−3−33000000000000-222-2-2002-220000-2-22222-2-21110000-11-11-11-1-1-1−333−3−333−3−333−3000000000000
χ1102-2-22200-22-2000022-2-2-2-222-1-1-100001-11-11-1111−333−3−333−3−333−3000000000000-222-2-2002-220000-2-22222-2-21110000-11-11-11-1-1-13−3−333−3−333−3−33000000000000
χ1112-2-22200-22-20000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i32−1−i3−1+i30000-221+i3−1−i31−i3−1+i3-21+i31−i3000000000000000000000000-222-2-2002-2200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3-21+i31−i300002-2−1−i31+i3−1+i31−i32−1−i3−1+i3000000000000000000000000
χ1122-2-22200-22-20000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3-11+i321−i3200001-1−1−i321+i32−1+i321−i321−1−i32−1+i323−3−332ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000-222-2-2002-2200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i31−1−i32−1+i320000-111+i32−1−i321−i32−1+i32-11+i321−i32−333−3−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ1132-2-22200-22-20000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3-11+i321−i3200001-1−1−i321+i32−1+i321−i321−1−i32−1+i32−333−3−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000-222-2-2002-2200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i31−1−i32−1+i320000-111+i32−1−i321−i32−1+i32-11+i321−i323−3−332ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ1142-2-22200-22-20000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i32−1+i3−1−i30000-221−i3−1+i31+i3−1−i3-21−i31+i3000000000000000000000000-222-2-2002-2200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3-21−i31+i300002-2−1+i31−i3−1−i31+i32−1+i3−1−i3000000000000000000000000
χ1152-2-22200-22-20000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3-11−i321+i3200001-1−1+i321−i32−1−i321+i321−1+i32−1−i323−3−33−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000-222-2-2002-2200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i31−1+i32−1−i320000-111−i32−1+i321+i32−1−i32-11−i321+i32−333−3ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000
χ1162-2-22200-22-20000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3-11−i321+i3200001-1−1+i321−i32−1−i321+i321−1+i32−1−i32−333−3ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000-222-2-2002-2200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i31−1+i32−1−i320000-111−i32−1+i321+i32−1−i32-11−i321+i323−3−33−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000
χ1176666-366-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000-6-6-6-63-6-63333333000000000000000000000000000000000000000000000000
χ1186666-3-6-6-3-3-33333000000000000000000000000000000000000000000000000-6-6-6-6366333-3-3-3-3000000000000000000000000000000000000000000000000
χ11966-6-6-300-33333−3333−33000000000000000000000000000000000000000000000000-6-6663003-3-3−3333−3333000000000000000000000000000000000000000000000000
χ12066-6-6-300-333−3333−3333000000000000000000000000000000000000000000000000-6-6663003-3-333−3333−33000000000000000000000000000000000000000000000000
χ1216-66-6-36-633-3-3-333000000000000000000000000000000000000000000000000-66-663-66-3-3333-3-3000000000000000000000000000000000000000000000000
χ1226-66-6-3-6633-333-3-3000000000000000000000000000000000000000000000000-66-6636-6-3-33-3-333000000000000000000000000000000000000000000000000
χ1236-6-66-3003-3333−33−3333000000000000000000000000000000000000000000000000-666-6300-33-3−333333−33000000000000000000000000000000000000000000000000
χ1246-6-66-3003-33−333333−33000000000000000000000000000000000000000000000000-666-6300-33-333−33−3333000000000000000000000000000000000000000000000000

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