Finite Group Databasebeta

← Group #10799576

Character table — Group #10799576

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111111111112222222222222222222222222222222222222222444444444444444444444444666666666666666666666666666666668888888888888888888888882424242424242424
order122244444444444422344444444444444444444446661212121212121212121212126612121212121212121212121212121212121212121212888888888888888888888888888888882444668888121212121212242424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-1-1-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111-1-111ii−i−i11-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iii-1-11111−i−i−i−iiiii-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111111111-1-111ii−i−i11-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iii-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111111111-1-111−i−iii11-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ1411111111-1-1-1-1-1-1-1-1-1-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i-1-11111iiii−i−i−i−i11-1-1−i−iii
χ1511111111-1-1-1-1-1-1-1-1-1-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111-1-111−i−iii11-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1611111111-1-1-1-1-1-1-1-1-1-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i-1-11111iiii−i−i−i−i-1-111ii−i−i
χ171111-1-1-1-11111-1-1-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i11111-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-11-111i−ii−i-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1-1-11111-1-1-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i11111-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11-11-1-1−ii−ii11-1-111−i−iii−i−iii-11-11−ii−ii
χ191111-1-1-1-11111-1-1-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i11111-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-11-111i−ii−i-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201111-1-1-1-11111-1-1-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i11111-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-11-11-1-1−ii−ii11-1-111−i−iii−i−iii1-11-1i−ii−i
χ211111-1-1-1-11111-1-1-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-11-111−ii−ii-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ221111-1-1-1-11111-1-1-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i1-11-1−ii−ii
χ231111-1-1-1-11111-1-1-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-11-111−ii−ii-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ241111-1-1-1-11111-1-1-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i-11-11i−ii−i
χ251111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-11-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-111-11111-1-1-1-11111-1-1-111-1-111-1
χ271111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11111-1-11-1-1-1-11111-1-1-1-111-111-1-111-1
χ281111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-11-1-111-1-11
χ291111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-111-1-1-1-1-111-1-11111-1-1-111-11-1-11
χ301111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11-1-111111-1-111-1-1-1-1111-1-11-111-1
χ311111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-111-1-1-1-1-111-1-11111-1-11-1-11-111-1
χ321111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11-1-111111-1-111-1-1-1-111-111-11-1-11
χ33222222222222222222-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ34222222222222222222-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-211-2-2-2-21111111111111100000000
χ35222222222222222222-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000002222-1-1-2-2-2-2-1-1-1-1-1-11111111100000000
χ36222222222222222222-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2-2-2112222111111-1-1-1-1-1-1-1-100000000
χ372222222222222222-2-22-2-2-2-20000000000000000-2-2222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ382222222222222222-2-22-2-2-2-20000000000000000-2-2222222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2222-2-2220000000000000000-2-22222222-2-2-2-2-2-2-2-222-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2222-2-2220000000000000000-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-122-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i22-1-1-1-1-1-1-11111111111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000000022-2-2-1-12i2i−2i−2i-1-11111−i−i−i−iiiii00000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-122-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i22-1-1-1-1-1-1-11111111111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000000000-2-22211−2i−2i2i2i11-1-1-1-1iiii−i−i−i−i00000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-122-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i22-1-1-1-1-1-1-11111111111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000000022-2-2-1-1−2i−2i2i2i-1-11111iiii−i−i−i−i00000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-122-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i22-1-1-1-1-1-1-11111111111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000000000-2-222112i2i−2i−2i11-1-1-1-1−i−i−i−iiiii00000000
χ452222-2-2-2-22222-2-2-2-222222-2-20000000000000000-2-2222-2-2-2-22222-2-2-2-222-2-222-2-200000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-222222-2-20000000000000000-2-2222-2-2-2-22222-2-2-2-222-2-222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-2-1-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-1-1-11111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000000000002-22-2-1-12i−2i2i−2i11-1-111−i−iii−i−iii00000000
χ482222-2-2-2-22222-2-2-2-2-2-2-1-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-1-1-11111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000-22-2211−2i2i−2i2i-1-111-1-1ii−i−iii−i−i00000000
χ492222-2-2-2-22222-2-2-2-2-2-2-1-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-1-1-11111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000000000002-22-2-1-1−2i2i−2i2i11-1-111ii−i−iii−i−i00000000
χ502222-2-2-2-22222-2-2-2-2-2-2-1-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-1-1-11111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000-22-22112i−2i2i−2i-1-111-1-1−i−iii−i−iii00000000
χ512222-2-2-2-2-2-2-2-2222222-1-2-2-2-22222-2-2-2-2-2-2-2-2222222-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1000000000000000000000000000000002-2-22-1-12-2-221111-1-1-1-11111-1-100000000
χ522222-2-2-2-2-2-2-2-2222222-1-2-2-2-22222-2-2-2-2-2-2-2-2222222-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000000000000000-222-211-222-2-1-1-1-11111-1-1-1-11100000000
χ532222-2-2-2-2-2-2-2-2222222-1-2-2-2-2-2-2-2-222222222-2-2-2-222-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111000000000000000000000000000000002-2-22-1-1-222-21111-1-111-1-1-1-11100000000
χ542222-2-2-2-2-2-2-2-2222222-1-2-2-2-2-2-2-2-222222222-2-2-2-222-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000000000000000-222-2112-2-22-1-1-1-111-1-11111-1-100000000
χ552222-2-2-2-2-2-2-2-22222-2-2222220000000000000000-2-2222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-2222220000000000000000-2-2222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
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χ6122-2-222-2-2−2i−2i2i2i−2i−2i2i2i00200001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i002-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2322−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ6222-2-222-2-2−2i−2i2i2i−2i−2i2i2i00200001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i002-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ23−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ6322-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i002-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ23−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ6422-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i002-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ2322−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ6522-2-2-2-2222i2i−2i−2i−2i−2i2i2i00200001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i002-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2322−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ6622-2-2-2-2222i2i−2i−2i−2i−2i2i2i00200001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i002-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ6722-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i002-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ23−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ6822-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i002-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ2322−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ6922-2-2-2-222−2i−2i2i2i2i2i−2i−2i00200001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i002-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ1322−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ7022-2-2-2-222−2i−2i2i2i2i2i−2i−2i00200001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i002-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ13−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ7122-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i002-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ7222-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i002-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1322−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ732-22-22i−2i2i−2i2-22-22i−2i2i−2i00200001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00-22-22i−2i2i−2i2-22-22i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000000000000000000000000000
χ742-22-22i−2i2i−2i2-22-22i−2i2i−2i00200001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00-22-22i−2i2i−2i2-22-22i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000000000000000000000000000
χ752-22-22i−2i2i−2i2-22-22i−2i2i−2i0020000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000000000000000000000000000
χ762-22-22i−2i2i−2i2-22-22i−2i2i−2i0020000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000000000000000000000000000
χ772-22-22i−2i2i−2i-22-22−2i2i−2i2i00200001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00-22-22i−2i2i−2i-22-22−2i2i−2i2i000000001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000000000000000000000000000
χ782-22-22i−2i2i−2i-22-22−2i2i−2i2i00200001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00-22-22i−2i2i−2i-22-22−2i2i−2i2i000000001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000000000000000000000000000
χ792-22-22i−2i2i−2i-22-22−2i2i−2i2i0020000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000000000000000000000000000
χ802-22-22i−2i2i−2i-22-22−2i2i−2i2i0020000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000000000000000000000000000
χ812-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00200001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000000000000000000000000000
χ822-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00200001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000000000000000000000000000
χ832-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0020000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000000000000000000000000000
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χ1404-44-4−4i4i−4i4i-44-444i−4i4i−4i00-20000−2−2i2+2i−2−2i2+2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i−2+2i2−2i−2+2i2−2i002-222i−2i2i−2i2-22-2−2i2i−2i2i000000001+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000000000000000000000000000000000000000000000000000000000
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χ1434-4-44−4i4i4i−4i4i−4i−4i4i4-4-44-44-2−4i4i4i−4i00000000000000004-422-22i−2i−2i2i−2i2i2i−2i-222-22-2-222i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44−4i4i4i−4i−4i4i4i−4i-444-44-4-2−4i4i−4i4i00000000000000004-422-22i−2i−2i2i2i−2i−2i2i2-2-22-22-222i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000

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