Finite Group Databasebeta

← Group #14307150

Character table — Group #14307150

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111111112222222222222222222222222222444444444444444444444444444488888888888888888888888888888888888888101010101212121212121212121212121212121212121212121212122020202020202020202024242424242424244040404040406060606060606060
order12224444223445566610101010101012121212202020202020202066101010101212151520202020303030303030606060606060606044121212122020202020202020303030306060606060606060606060606060606060606060444444448888202020202020202020202020202020204412121212121212124040404040404040441212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1−i−i−i−iiiii1-111-1-1−i−iii−i−iii
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111iiii−i−i−i−i-11-1-111−i−iii−i−iii
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111−i−i−i−iiiii-11-1-111ii−i−iii−i−i
χ131111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1−i−i−i−iiiii-11-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1iiii−i−i−i−i-11-1-111−i−iiiii−i−i
χ151111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111−i−i−i−iiiii1-111-1-1−i−iiiii−i−i
χ161111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111iiii−i−i−i−i1-111-1-1ii−i−i−i−iii
χ172222222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ182222222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000001+521+521−521−521+521+521−521−5200000000000000
χ192222222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000001+521+521−521−521+521+521−521−5200000000000000
χ202222222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2-2-2-222221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ212222222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ222222222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000001−521−521+521+521−521−521+521+5200000000000000
χ232222222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200002222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000001−521−521+521+521−521−521+521+5200000000000000
χ242222222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-2-2-2-222221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ252222222222-12222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000000000022-1-1-1-1-1-1-1-10000000022-1-1-1-100000000
χ262222222222-12222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000000000-2-21111111100000000-2-2111100000000
χ272222222222-12222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222200000000000000000000000022-1-1-1-1-1-1-1-100000000-2-2111100000000
χ282222222222-12222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000000000000000000000-2-2111111110000000022-1-1-1-100000000
χ2922222222-2-22-2-222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000-2-222-2-222-2-20000000000000000000000
χ3022222222-2-22-2-222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-200000000000000000000000022-2-222-2-2220000000000000000000000
χ3122222222-2-2-1-2-222-1-1-1222222-1-1-1-12222222211-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32222000000000000000000000000-2-2-1-111-1-1110000000000−i3i3−i3i300000000
χ3222222222-2-2-1-2-222-1-1-1222222-1-1-1-12222222211-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2-2-20000000000000000000000002211-1-111-1-10000000000i3−i3i3−i300000000
χ3322222222-2-2-1-2-222-1-1-1222222-1-1-1-12222222211-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32222000000000000000000000000-2-2-1-111-1-1110000000000i3−i3i3−i300000000
χ3422222222-2-2-1-2-222-1-1-1222222-1-1-1-12222222211-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2-2-20000000000000000000000002211-1-111-1-10000000000−i3i3−i3i300000000
χ352222-2-2-2-2222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000002222-2-2-2-2000000000000000022-2-2000000000000000000000000-2222-2-2-2-2220000000000000000000000
χ362222-2-2-2-2222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000002222-2-2-2-20000000000000000-2-2220000000000000000000000002-2-2-22222-2-20000000000000000000000
χ372222-2-2-2-222-1-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i300000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i322-2-2000000000000000000000000-22-1-11111-1-10000000000−i3i3i3−i300000000
χ382222-2-2-2-222-1-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i300000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-2-2220000000000000000000000002-211-1-1-1-1110000000000i3−i3−i3i300000000
χ392222-2-2-2-222-1-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i300000000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i322-2-2000000000000000000000000-22-1-11111-1-10000000000i3−i3−i3i300000000
χ402222-2-2-2-222-1-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i300000000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-2-2220000000000000000000000002-211-1-1-1-1110000000000−i3i3i3−i300000000
χ412222-2-2-2-2-2-2222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52-2-21+521−521+521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200002i2i−2i−2i2i2i−2i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000
χ422222-2-2-2-2-2-2222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52-2-21+521−521+521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000−2i−2i2i2i−2i−2i2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000000000000
χ432222-2-2-2-2-2-2222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52-2-21+521−521+521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002i2i−2i−2i−2i−2i2i2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000000000000
χ442222-2-2-2-2-2-2222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52-2-21+521−521+521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−2i−2i2i2i2i2i−2i−2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000
χ452222-2-2-2-2-2-2222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-21−521+521−521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200002i2i−2i−2i2i2i−2i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000
χ462222-2-2-2-2-2-2222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-21−521+521−521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000−2i−2i2i2i−2i−2i2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000
χ472222-2-2-2-2-2-2222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-21−521+521−521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002i2i−2i−2i−2i−2i2i2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000
χ482222-2-2-2-2-2-2222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-21−521+521−521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−2i−2i2i2i2i2i−2i−2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000
χ492222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-211-2-2-2-2-1-1-1-12222-1-1-1-1-1-1111111112-2-1-1112222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111122-2-20000000000000000000000002-2-1-1-1-11111000000002-2-1-11100000000
χ502222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-211-2-2-2-2-1-1-1-12222-1-1-1-1-1-1111111112-2-1-1112222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-111111111-2-222000000000000000000000000-221111-1-1-1-100000000-2211-1-100000000
χ512222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-211-2-2-2-2-1-1-1-12222-1-1-1-1-1-111111111-2211-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-20000000000000000000000002-2-1-1-1-1111100000000-2211-1-100000000
χ522222-2-2-2-2-2-2-12222-1-1-12222221111-2-2-2-2-2-2-2-211-2-2-2-2-1-1-1-12222-1-1-1-1-1-111111111-2211-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222000000000000000000000000-221111-1-1-1-1000000002-2-1-11100000000
χ5322-2-222-2-22-222-2222-2-22-2-22-2-222-2-2-2-2-2-222222-222-2-22-2222-22-22-2-22-2-222-2-222-2-2000000000000002-22-22-22-20000000000000000000000002-22-2000000000000000000000000002-22-22-22-200000000000000
χ5422-2-222-2-22-222-2222-2-22-2-22-2-222-2-2-2-2-2-222222-222-2-22-2222-22-22-2-22-2-222-2-222-2-2000000000000002-22-22-22-2000000000000000000000000-22-2200000000000000000000000000-22-22-22-2200000000000000
χ5522-2-222-2-22-222-2−1−52−1+522-2-2−1−521+521+52−1+521−521−5222-2-21+521+521−521−52−1−52−1−52−1+52−1+522-2−1−52−1+521+521−522-2−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1+521−52−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000002-22-2−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000−1−521+52−1+521−52−1−521+52−1+521−5200000000000000
χ5622-2-222-2-22-222-2−1−52−1+522-2-2−1−521+521+52−1+521−521−5222-2-21+521+521−521−52−1−52−1−52−1+52−1+522-2−1−52−1+521+521−522-2−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1+521−52−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000-22-22ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ4700000000001+52−1−521−52−1+521+52−1−521−52−1+5200000000000000
χ5722-2-222-2-22-222-2−1−52−1+522-2-2−1−521+521+52−1+521−521−5222-2-21+521+521−521−52−1−52−1−52−1+52−1+522-2−1−52−1+521+521−522-2−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1+521−52−1−521+52−1+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000002-22-2ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000−1−521+52−1+521−52−1−521+52−1+521−5200000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.