Finite Group Databasebeta

← Group #11919532

Character table — Group #11919532

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111222222222333333444444444444444444444444444444666666666888888888888888888121212121212121212121212121212121212161616161616161616161616161616161616161616161616161616161616161616161616
order123366244661212121222666622333333666666666688882424242424242424244661212121266666612121212121212121212121222666688882424242424242424666666666666242424242424242424242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111−1−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+i32111111111111111111−1−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
χ411111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1111111111−1−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+i32111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ511111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111−1+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−i32111111111111111111−1+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
χ611111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1111111111−1+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−i32111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ7111111111111111111111-1-1111111-1-1-1-111111111-1-11111-1-1-1-1111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ8111111111111111111111-1-1111111-1-1-1-1111111-1-111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ9111111111111111111111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11111-1-1-1-1111111111−1−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+i32-1-1-1-1-1-111-1-11111-1-1-1-11+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ10111111111111111111111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111-1-1-1-11111111111111−1−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+i32-1-1-1-1-1-1-1-111-1-1-1-111111+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ11111111111111111111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11111-1-1-1-1111111111−1+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−i32-1-1-1-1-1-111-1-11111-1-1-1-11−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ12111111111111111111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111-1-1-1-11111111111111−1+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−i32-1-1-1-1-1-1-1-111-1-1-1-111111−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ131111111-1-111-1-1-1-11111111-111111111-1-1111111i−ii−iii−i−iii−i−i1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1i−ii−iii−i−iii−i−i111-1-1-1111-1-1-1iii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−i
χ141111111-1-111-1-1-1-11111111-111111111-1-1111111−ii−ii−i−iii−i−iii1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1−ii−ii−i−iii−i−iii111-1-1-1111-1-1-1−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iiii
χ151111111-1-111-1-1-1-11111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−ii−iii−i−iii−i−i1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-111-1-1i−ii−iii−i−iii−i−i−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7
χ161111111-1-111-1-1-1-11111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ii−ii−i−iii−i−iii1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-111-1-1−ii−ii−i−iii−i−iii−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7
χ171111111-1-111-1-1-1-11111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−ii−iii−i−iii−i−i1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-111-1-1i−ii−iii−i−iii−i−i−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11
χ181111111-1-111-1-1-1-11111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ii−ii−i−iii−i−iii1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-111-1-1−ii−ii−i−iii−i−iii−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11
χ191111111-1-111-1-1-1-1111111-11111111-1-111111111i−i−iiii−i−i−i−iii1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−iiii−i−i−i−iii-1-1-1111-1-1-1111iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii
χ201111111-1-111-1-1-1-1111111-11111111-1-111111111−iii−i−i−iiiii−i−i1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i−i−iiiii−i−i-1-1-1111-1-1-1111−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i
χ211111111-1-111-1-1-1-1111111-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−i−iiii−i−i−i−iii1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-1-111i−i−iiii−i−i−i−iii1+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7
χ221111111-1-111-1-1-1-1111111-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−iii−i−i−iiiii−i−i1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-1-111−iii−i−i−iiiii−i−i1+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7
χ231111111-1-111-1-1-1-1111111-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−i−iiii−i−i−i−iii1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-1-111i−i−iiii−i−i−i−iii1−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11
χ241111111-1-111-1-1-1-1111111-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−iii−i−i−iiiii−i−i1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-1-111−iii−i−i−iiiii−i−i1−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11
χ2511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−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+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ2611−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−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+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ2711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32
χ2811−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i32
χ2911−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ3011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i3211−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-1
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32
χ3311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32−1−i32−1+i321−1+i321−1−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32-1-11+i321−i321+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i32−1−i32−1+i321−1−i32−1+i3211+i321−i32-11+i321−i32-1−1+i321−1−i32−1+i321−1−i321−i32-11+i321−i32-11+i32
χ3411−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32−1−i32−1+i321−1+i321−1−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32-1-11+i321−i321+i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-1−1−i32−1+i321−1−i32−1+i3211−i32-11+i321−i32-11+i32−1+i321−1−i32−1+i321−1−i32
χ3511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1+i321−1−i32−1−i32−1+i3211+i321−i321+i321−i32−1+i321−1−i32−1−i32−1+i32111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i321+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-1−1+i321−1−i32−1+i321−1−i321−i32-11+i321−i32-11+i32−1−i32−1+i321−1−i32−1+i3211+i321−i32-11+i321−i32-1
χ3611−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1+i321−1−i32−1−i32−1+i3211+i321−i321+i321−i32−1+i321−1−i32−1−i32−1+i321-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i321+i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i32−1+i321−1−i32−1+i321−1−i321+i321−i32-11+i321−i32-1−1−i32−1+i321−1−i32−1+i321
χ3711−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32iζ11ζ7−i−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7
χ3811−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32−i−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7iζ11ζ7
χ3911−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321−1+i321−1−i32i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321-1−1−i32−1+i321+i321−i32i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i3211+i321−i32-1−1+i321−1−i321−i32-11+i32ζ11ζ7i−ζ11−ζ7−iζ11ζ7i−ζ11−ζ7−iζ7iζ11−ζ7−i−ζ11ζ7iζ11−ζ7−i−ζ11
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χ4711−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11−1+i321−1−i32−1−i32−1+i3211+i321−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ71-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-111+i321−i32−1−i32−1+i32i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ71−i32-11+i32−1+i321−1−i321+i321−i32-1−1−i32−1+i321ζ7iζ11−ζ7−i−ζ11−ζ7−i−ζ11ζ7iζ11ζ11ζ7i−ζ11−ζ7−i−ζ11−ζ7−iζ11ζ7i
χ4811−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11−1+i321−1−i32−1−i32−1+i3211+i321−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ71-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-111+i321−i32−1−i32−1+i32−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ71−i32-11+i32−1+i321−1−i321+i321−i32-1−1−i32−1+i321−ζ7−i−ζ11ζ7iζ11ζ7iζ11−ζ7−i−ζ11−ζ11−ζ7−iζ11ζ7iζ11ζ7i−ζ11−ζ7−i
χ4911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
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χ5111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ5211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i3211+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-1
χ5311−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i3211−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32
χ5411−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i32
χ5511−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ5611−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32
χ5711−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1−i321−1+i32−1+i32−1−i3211−i321+i321−i321+i32−1−i321−1+i32−1+i32−1−i32111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i321−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321+i32-11−i321+i32-11−i321−i321+i32-11−i321+i32-1−1−i321−1+i32−1−i321−1+i321+i32-11−i321+i32-11−i32−1+i32−1−i321−1+i32−1−i3211−i321+i32-11−i321+i32-1
χ5811−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1−i321−1+i32−1+i32−1−i3211−i321+i321−i321+i32−1−i321−1+i32−1+i32−1−i321-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i321−i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321+i32-11−i321+i32-11−i321−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i32−1−i321−1+i32−1−i321−1+i321−i321+i32-11−i321+i32-1−1+i32−1−i321−1+i32−1−i321
χ5911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32−1+i32−1−i321−1−i321−1+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-1-11−i321+i321−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i32−1+i32−1−i321−1+i32−1−i3211−i321+i32-11−i321+i32-1−1−i321−1+i32−1−i321−1+i321+i32-11−i321+i32-11−i32
χ6011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32−1+i32−1−i321−1−i321−1+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-1-11−i321+i321−i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i321−i321+i32-11−i321+i32-1−1+i32−1−i321−1+i32−1−i3211+i32-11−i321+i32-11−i32−1−i321−1+i32−1−i321−1+i32
χ6111−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111-1-1−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32iζ7ζ11−i−ζ7−ζ11iζ7ζ11−i−ζ7−ζ11iζ7ζ11−i−ζ7−ζ11iζ7ζ11−i−ζ7−ζ11
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.