Finite Group Databasebeta

← Group #13173358

Character table — Group #13173358

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222224444444444444444444444444444444444444444444444449999181818181818181818185454545454545454111122222222224444444444444444444444444444444444444444444444449999181818181818181818185454545454545454
order1244368812122424242433333366666612121212121212121212121224242424242424242424242424242424242424242424242488882466121224242424161616161616161622446688121224242424666666666666121212121212121212121212242424242424242424242424242424242424242424242424888824661212242424241616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ6111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ7111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iii111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iii
χ8111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i
χ911-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-111-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-111-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1011-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-111-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-111-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1111-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11-1-111−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11-1-111−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1211-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11-1-111−i−iiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-111i−i-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11-1-111−i−iiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1311-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i-11-1-111ii−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i-11-1-111ii−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1411-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i-11-1-111ii−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i-11-1-111ii−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1511-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii1-111-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii1-111-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1611-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii1-111-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-111−ii-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii1-111-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ172222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000002222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100000000
χ182222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111000000002222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111100000000
χ192222-1-1-2-2-1-1111122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-2-21111-1-1-1-1000000002222-1-1-2-2-1-1111122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-2-21111-1-1-1-100000000
χ202222-1-1-2-2-1-1111122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-222-1-1-1-11111000000002222-1-1-2-2-1-1111122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-222-1-1-1-1111100000000
χ2122-2-2-1-12i−2i11−i−iii22-1-1-1-122-1-1-1-1-2-2-2-2111111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i−2i−2i2-2-1-111−i−iii0000000022-2-2-1-12i−2i11−i−iii22-1-1-1-122-1-1-1-1-2-2-2-2111111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i−2i−2i2-2-1-111−i−iii00000000
χ2222-2-2-1-12i−2i11−i−iii22-1-1-1-122-1-1-1-1-2-2-2-2111111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii−2i−2i2i2i-2211-1-1ii−i−i0000000022-2-2-1-12i−2i11−i−iii22-1-1-1-122-1-1-1-1-2-2-2-2111111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii−2i−2i2i2i-2211-1-1ii−i−i00000000
χ2322-2-2-1-1−2i2i11ii−i−i22-1-1-1-122-1-1-1-1-2-2-2-211111111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i2i2i−2i−2i-2211-1-1−i−iii0000000022-2-2-1-1−2i2i11ii−i−i22-1-1-1-122-1-1-1-1-2-2-2-211111111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i2i2i−2i−2i-2211-1-1−i−iii00000000
χ2422-2-2-1-1−2i2i11ii−i−i22-1-1-1-122-1-1-1-1-2-2-2-211111111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i2i2i2-2-1-111ii−i−i0000000022-2-2-1-1−2i2i11ii−i−i22-1-1-1-122-1-1-1-1-2-2-2-211111111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i2i2i2-2-1-111ii−i−i00000000
χ252-22i−2i2-2002i−2i0000222222-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-22i−2i2-2002i−2i0000222222-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ262-22i−2i2-2002i−2i0000222222-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-22i−2i2-2002i−2i0000222222-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ272-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−i3i33−3−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−i3i33−3−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ282-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300i3−i3−33ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300i3−i3−33ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ292-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300i3−i3−33−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300i3−i3−33−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ302-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−i3i33−3ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-1-1-1-1-2-211112i2i−2i−2i−i−i−i−iiiii0000ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−i3i33−3ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
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χ1574-4−4i4i4-400−4i4i00001-211-2-2-12-1-122−i2ii−2i−i−i2i2iii−2i−2i−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000-444i−4i-44004i−4i0000-12-1-1221-211-2-2i−2i−i2iii−2i−2i−i−i2i2i3ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000
χ1584-4−4i4i4-400−4i4i00001-211-2-2-12-1-122−i2ii−2i−i−i2i2iii−2i−2i3ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000-444i−4i-44004i−4i0000-12-1-1221-211-2-2i−2i−i2iii−2i−2i−i−i2i2i−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000
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χ1624-4−4i4i-22002i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ231-2−1+3i32−1−3i3211-121−3i321+3i32-1-1−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii−3ζ5−3ζ133ζ5+3ζ13002ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ2300ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ230000000000000000000000-444i−4i2-200−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23-121−3i321+3i32-1-11-2−1+3i32−1−3i3211i−2i−i2i2ζ14−ζ22−ζ14+2ζ22ii−2ζ14+ζ22ζ14−2ζ22−i−i3ζ5+3ζ13−3ζ5−3ζ1300−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ132ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ2300−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ230000000000000000000000
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χ1654-4−4i4i-22002i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ231-2−1−3i32−1+3i3211-121+3i321−3i32-1-1−i2ii−2iζ14−2ζ22−2ζ14+ζ22−i−i−ζ14+2ζ222ζ14−ζ22ii−3ζ5−3ζ133ζ5+3ζ1300ζ5+2ζ13−2ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5−2ζ132ζ5+ζ13−ζ5+ζ13−ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23002ζ7+ζ23−ζ7−2ζ23−ζ7+ζ23−ζ7+ζ23−2ζ7−ζ23ζ7+2ζ23ζ7−ζ23ζ7−ζ230000000000000000000000-444i−4i2-200−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23-121+3i321−3i32-1-11-2−1−3i32−1+3i3211i−2i−i2i−ζ14+2ζ222ζ14−ζ22iiζ14−2ζ22−2ζ14+ζ22−i−i3ζ5+3ζ13−3ζ5−3ζ1300−ζ5−2ζ132ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5+2ζ13−2ζ5−ζ13ζ5−ζ13ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ2300−2ζ7−ζ23ζ7+2ζ23ζ7−ζ23ζ7−ζ232ζ7+ζ23−ζ7−2ζ23−ζ7+ζ23−ζ7+ζ230000000000000000000000
χ1664-4−4i4i-22002i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ231-2−1+3i32−1−3i3211-121−3i321+3i32-1-1−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii3ζ5+3ζ13−3ζ5−3ζ1300−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ132ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ2300−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ230000000000000000000000-444i−4i2-200−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23-121−3i321+3i32-1-11-2−1+3i32−1−3i3211i−2i−i2i2ζ14−ζ22−ζ14+2ζ22ii−2ζ14+ζ22ζ14−2ζ22−i−i−3ζ5−3ζ133ζ5+3ζ13002ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ2300ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ230000000000000000000000
χ1674-4−4i4i-22002i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23-2111−1−3i32−1+3i322-1-1-11+3i321−3i322i−i−2ii−i−iζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ2200−3ζ5−3ζ133ζ5+3ζ13ζ5−ζ13ζ5−ζ13ζ5+2ζ13−2ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−2ζ132ζ5+ζ13003ζ7+3ζ23−3ζ7−3ζ23−ζ7+ζ23−ζ7+ζ232ζ7+ζ23−ζ7−2ζ23ζ7−ζ23ζ7−ζ23−2ζ7−ζ23ζ7+2ζ230000000000000000000000-444i−4i2-200−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ232-1-1-11+3i321−3i32-2111−1−3i32−1+3i32−2ii2i−iii−ζ14+2ζ222ζ14−ζ22−i−iζ14−2ζ22−2ζ14+ζ22003ζ5+3ζ13−3ζ5−3ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−2ζ132ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5+2ζ13−2ζ5−ζ1300−3ζ7−3ζ233ζ7+3ζ23ζ7−ζ23ζ7−ζ23−2ζ7−ζ23ζ7+2ζ23−ζ7+ζ23−ζ7+ζ232ζ7+ζ23−ζ7−2ζ230000000000000000000000
χ1684-4−4i4i-22002i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23-2111−1+3i32−1−3i322-1-1-11−3i321+3i322i−i−2ii−i−i−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ22003ζ5+3ζ13−3ζ5−3ζ13ζ5−ζ13ζ5−ζ13−2ζ5−ζ13ζ5+2ζ13−ζ5+ζ13−ζ5+ζ132ζ5+ζ13−ζ5−2ζ1300−3ζ7−3ζ233ζ7+3ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−2ζ232ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7+2ζ23−2ζ7−ζ230000000000000000000000-444i−4i2-200−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ232-1-1-11−3i321+3i32-2111−1+3i32−1−3i32−2ii2i−iii2ζ14−ζ22−ζ14+2ζ22−i−i−2ζ14+ζ22ζ14−2ζ2200−3ζ5−3ζ133ζ5+3ζ13−ζ5+ζ13−ζ5+ζ132ζ5+ζ13−ζ5−2ζ13ζ5−ζ13ζ5−ζ13−2ζ5−ζ13ζ5+2ζ13003ζ7+3ζ23−3ζ7−3ζ23ζ7−ζ23ζ7−ζ23ζ7+2ζ23−2ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−2ζ232ζ7+ζ230000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.