Finite Group Databasebeta

← Group #13145713

Character table — Group #13145713

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636363636363636363636363636363636363636363636363636
order12442333466666888812121212121212122424242424242424333336666666666666666612121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424246688121216161616161616162424242448484848484848484848484848484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-11111-111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-111i−i-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1011-1-11111-111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-111i−i-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1111-1-11111-111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-1-1−ii11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1211-1-11111-111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-1-1−ii11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1311-1-11111-111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii1-111−ii-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ1411-1-11111-111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii1-111−ii-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1511-1-11111-111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-11-1-1i−i11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1611-1-11111-111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-11-1-1i−i11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ172222222-12-1-122-12222-1-12222-1-1222222222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-10000000000000000
χ182222222-12-1-122-12222-1-12222-1-1222222222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2110000000011110000000000000000
χ192222222-12-1-122-1-2-2-2-2-1-12222-1-1-2-2-2-2-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111111122-1-1-2-2-1-10000000011110000000000000000
χ202222222-12-1-122-1-2-2-2-2-1-12222-1-1-2-2-2-2-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111-2-2-2-21111111111111111-2-211221100000000-1-1-1-10000000000000000
χ21222222-122222-1222222222-1-12222-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-12-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222000000000000-1-1-1-1-1-1-1-1
χ22222222-122222-1222222222-1-12222-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-12-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000000011111111
χ23222222-122222-12-2-2-2-22222-1-122-2-211-2-211-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-21-21-2-2-2-21111-2-2-2-21111111111111111-2-2-2-21111111111110000000000002i2i−2i−2i000000000000−i−i−i−iiiii
χ24222222-122222-12-2-2-2-22222-1-122-2-211-2-211-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-21-21-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111000000000000−2i−2i2i2i000000000000iiii−i−i−i−i
χ2522222-122222-122222222-1-12222-1-122-1-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-12-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-100000000
χ2622222-122222-122222222-1-12222-1-122-1-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-12-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111111100000000
χ2722222-122222-122-2-2-2-222-1-1222211-2-211-2-2-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11-21-2-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111000000002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ2822222-122222-122-2-2-2-222-1-1222211-2-211-2-2-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11-21-2-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-21111111100000000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ292222-2222-2-2-22222-22-2-2-222222222-2-222-2-222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-22-222-22-222-2-222-2-222-2-22222-2-2-2-222-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000
χ302222-2222-2-2-2222-22-22-2-2222222-2-222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222222222222-22-2-22-22-2-222-2-222-2-222-2-2-2-22222-2-222-2-222-2-222-2-2-2-22222000000000000000000000000000000000000
χ312222-222-1-21122-12-22-2112222-1-122-2-222-2-22-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-1-1-22-22-11-1122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111100−i3i300−i3i300000000−i3i3−i3i30000000000000000
χ322222-222-1-21122-12-22-2112222-1-122-2-222-2-22-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-1-1-22-22-11-1122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111100i3−i300i3−i300000000i3−i3i3−i30000000000000000
χ332222-222-1-21122-1-22-22112222-1-1-2-222-2-2222-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-1-12-22-21-11-1-2-22211-1-111-1-11111-1-1-1-1-2-22211-1-111-1-11111-1-1-1-100−i3i300−i3i300000000i3−i3i3−i30000000000000000
χ342222-222-1-21122-1-22-22112222-1-1-2-222-2-2222-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-1-12-22-21-11-1-2-22211-1-111-1-11111-1-1-1-1-2-22211-1-111-1-11111-1-1-1-100i3−i300i3−i300000000−i3i3−i3i30000000000000000
χ352222-22-12-2-2-22-122-22-2-2-222-1-12222112211-12-1-1-1-2111-2-2111111-12-1-1-1-2111-2-2111111-1-122-1-1-1-1-1-1-2-1-2-12-22-2-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-1111100000000000000000000000000003−33−33−33−3
χ362222-22-12-2-2-22-122-22-2-2-222-1-12222112211-12-1-1-1-2111-2-2111111-12-1-1-1-2111-2-2111111-1-122-1-1-1-1-1-1-2-1-2-12-22-2-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-111110000000000000000000000000000−33−33−33−33
χ372222-22-12-2-2-22-12-22-22-2-222-1-122-2-2-1-1-2-2-1-1-12-1-1-1-2111-2-2111111-12-1-1-1-2111-2-2111111-1-122-1-1-1-1-1-12121-22-2211-1-1-2-22211-1-11111-1-1-1-111-1-1-2-22211-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ382222-22-12-2-2-22-12-22-22-2-222-1-122-2-2-1-1-2-2-1-1-12-1-1-1-2111-2-2111111-12-1-1-1-2111-2-2111111-1-122-1-1-1-1-1-12121-22-2211-1-1-2-22211-1-11111-1-1-1-111-1-1-2-22211-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ392222-2-122-2-2-2-1222-22-2-2-2-1-12222-1-1-2-2-1-1-2-2-1-12-1-11-21111-2-21111-1-12-1-11-21111-2-21111-1-1-1-122-1-1-1-112122-22-2-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ402222-2-122-2-2-2-1222-22-2-2-2-1-12222-1-1-2-2-1-1-2-2-1-12-1-11-21111-2-21111-1-12-1-11-21111-2-21111-1-1-1-122-1-1-1-112122-22-2-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
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χ1584-4−4i4i0-2-2-20−2i32i32220000−23232i−2i2i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23111−1−3i32−1+3i32003-3i3−i3i3−i3−3−i323+i323−i32−3+i32-1-1-11+3i321−3i3200−3i3i3−33−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ii−ii−iiζ14−2ζ22−ζ14+2ζ22−2ζ14+ζ222ζ14−ζ2200000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ132ζ5+ζ13−2ζ5−ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23−ζ7+ζ23ζ7−ζ23−2ζ7−ζ232ζ7+ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23000000000000000000000000000000000000
χ1594-4−4i4i0-2-2-202i3−2i3222000023−232i−2i2i−2i2i−2i2ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23111−1+3i32−1−3i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32-1-1-11−3i321+3i3200−3i3i−33−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−ii−ii−ii−2ζ14+ζ222ζ14−ζ22ζ14−2ζ22−ζ14+2ζ2200000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13ζ5+2ζ13−ζ5−2ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23ζ7−ζ23−ζ7+ζ23−ζ7−2ζ23ζ7+2ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23000000000000000000000000000000000000
χ1604-4−4i4i0-2-2-202i3−2i3222000023−232i−2i2i−2i2i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ23111−1−3i32−1+3i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32-1-1-11+3i321−3i32003i−3i−33−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−ii−ii−iiζ14−2ζ22−ζ14+2ζ22−2ζ14+ζ222ζ14−ζ2200000000−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13ζ5−ζ13−ζ5+ζ13−ζ5−2ζ13ζ5+2ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23ζ7+2ζ23−ζ7−2ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23000000000000000000000000000000000000
χ1614-4−4i4i0-2-2-202i3−2i3222000023−232i−2i2i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23111−1−3i32−1+3i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32-1-1-11+3i321−3i32003i−3i−33−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−ii−ii−iiζ14−2ζ22−ζ14+2ζ22−2ζ14+ζ222ζ14−ζ2200000000ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13−ζ5+ζ13ζ5−ζ13ζ5+2ζ13−ζ5−2ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23−ζ7−2ζ23ζ7+2ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23000000000000000000000000000000000000
χ1624-4−4i4i0-2-2-202i3−2i3222000023−232i−2i2i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23111−1+3i32−1−3i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32-1-1-11−3i321+3i3200−3i3i−33−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−ii−ii−ii−2ζ14+ζ222ζ14−ζ22ζ14−2ζ22−ζ14+2ζ2200000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13−ζ5−2ζ13ζ5+2ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−ζ7+ζ23ζ7−ζ23ζ7+2ζ23−ζ7−2ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23000000000000000000000000000000000000

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