Finite Group Databasebeta

← Group #13107829

Character table — Group #13107829

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size112222222444444551010102244444448888881010202020224444444888888101020202055101010101010102020202020202525505050112222222444444551010102244444448888881010202020224444444888888101020202055101010101010102020202020202525505050
order12444551010202020202020442225102020205510102020202020202020101010510202020551010202020202020202010101022444101010102020202020204422222444101010102020202020204422210102020201010101020202020202020201010101010202020101010102020202020202020101010224441010101020202020202044222
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1
χ3111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1
χ4111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1
χ611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11
χ711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11
χ811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1
χ922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000
χ1022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000
χ11222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000
χ12222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000
χ1322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000
χ1422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000
χ1522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000
χ1622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000
χ172-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i000
χ182-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000
χ194-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000
χ204-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ23111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111
χ24111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111111-1-1111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111111-1-1
χ2511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1-1-11-11-1-1-1-111-1-111-1-11-1111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1-1-11-11-1-1-1-111-1-111-1-11-11
χ2611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11-1-11-11-1-1-1-111-1-11111-11-111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11-1-11-11-1-1-1-111-1-11111-11-1
χ2711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11-1-111-1-1-1-1-11111-1-1-1-111-111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11-1-111-1-1-1-1-11111-1-1-1-111-1
χ2811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-111-1-1111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-111-1-11
χ2922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+5200000
χ3022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−5200000
χ31222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000
χ32222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000
χ3322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000-2-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000-2-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−5200000
χ3422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000-2-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000-2-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000
χ3522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000-2-222-21−521+521−521+52−1+52−1−52−1+52−1−521−521+520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000-2-222-21−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000
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χ13344-44-4−1+5−1−5−1+5−1−51−51+5−1+5−1−51−51+500000−1+5−1+51−5−1+51−53−52-13−52-1−3+5213−52-1−3+52100000−1−5−1−51+5−1−51+5-13+52-13+521−3−52-13+521−3−520000000000000000000000000-4-44-441−51+51−51+5−1+5−1−51−51+5−1+5−1−5000001−51−5−1+51−5−1+5−3+521−3+5213−52-1−3+5213−52-1000001+51+5−1−51+5−1−51−3−521−3−52-13+521−3−52-13+520000000000000000000000000
χ13444-44-4−1−5−1+5−1−5−1+51+51−5−1−5−1+51+51−500000−1+5−1+51−5−1+51−5-13−52-13−521−3+52-13−521−3+5200000−1−5−1−51+5−1−51+53+52-13+52-1−3−5213+52-1−3−5210000000000000000000000000-4-44-441+51−51+51−5−1−5−1+51+51−5−1−5−1+5000001−51−5−1+51−5−1+51−3+521−3+52-13−521−3+52-13−52000001+51+5−1−51+5−1−5−3−521−3−5213+52-1−3−5213+52-10000000000000000000000000
χ13544-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1+51−51−5−1+53−52-13−52-1−3+521−3+5213−52-100000−1−5−1−51+51+5−1−5-13+52-13+521−3−521−3−52-13+520000000000000000000000000-4-444-41−51+51−51+5−1+5−1−5−1+5−1−51−51+5000001−51−5−1+5−1+51−5−3+521−3+5213−52-13−52-1−3+521000001+51+5−1−5−1−51+51−3−521−3−52-13+52-13+521−3−520000000000000000000000000
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χ1384-400044-4-4000000−4i4i000−1+51−5000−1+5−1+51−51−50000002ζ11+2ζ19−2ζ11−2ζ19000−1−51+5000−1−5−1−51+51+50000002ζ3+2ζ7−2ζ3−2ζ700000000000000000000000-44000-4-4440000004i−4i0001−5−1+50001−51−5−1+5−1+5000000−2ζ11−2ζ192ζ11+2ζ190001+5−1−50001+51+5−1−5−1−5000000−2ζ3−2ζ72ζ3+2ζ700000000000000000000000
χ1398-8000−2+25−2−252−252+2500000000000−2+252−250003−5-2−3+5200000000000−2−252+25000-23+52−3−50000000000000000000000000000000-880002−252+25−2+25−2−25000000000002−25−2+25000−3+523−5-2000000000002+25−2−250002−3−5-23+50000000000000000000000000000000
χ1408-8000−2−25−2+252+252−2500000000000−2+252−25000-23−52−3+500000000000−2−252+250003+5-2−3−520000000000000000000000000000000-880002+252−25−2−25−2+25000000000002−25−2+250002−3+5-23−5000000000002+25−2−25000−3−523+5-20000000000000000000000000000000
χ14122222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5200000000000000000000
χ142222222222222222-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52−1+52−1+52−1+521−521−521−521−521−5200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222221+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+5200000000000000000000
χ143222-2-2222222-2-2-2-2222-2-2−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−5200000000000000000000-2-2-222-2-2-2-2-2-22222-2-2-2221+521+521+52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521−521−521−52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+5200000000000000000000
χ144222-2-2222222-2-2-2-2-2-2-222−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52−1+5200000000000000000000-2-2-222-2-2-2-2-2-22222222-2-21+521+521+52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521−521−521−52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−5200000000000000000000
χ14522-22-22222-2-222-2-222-22-2−1−52−1−521+52−1−521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1+52−1+521−52−1+521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+521−5200000000000000000000-2-22-22-2-2-2-222-2-222-2-22-221+521+52−1−521+52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−521−521−52−1+521−52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+5200000000000000000000
χ14622-22-22222-2-222-2-2-2-22-22−1−52−1−521+52−1−521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−521+52−1−52−1+52−1+521−52−1+521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+521−52−1+5200000000000000000000-2-22-22-2-2-2-222-2-22222-22-21+521+52−1−521+52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521−521−52−1+521−52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−5200000000000000000000
χ14722-2-222222-2-2-2-22222-2-22−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+5200000000000000000000-2-222-2-2-2-2-22222-2-2-2-222-21+521+52−1−52−1−521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521−521−52−1+52−1+521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−5200000000000000000000
χ14822-2-222222-2-2-2-222-2-222-2−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−5200000000000000000000-2-222-2-2-2-2-22222-2-222-2-221+521+52−1−52−1−521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−521−521−52−1+52−1+521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+5200000000000000000000
χ14944444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500000−1−5−1−5−1−5−1−5−1−5-13+52-13+52-13+52-13+52-13+5200000−1+5−1+5−1+5−1+5−1+53−52-13−52-13−52-13−52-13−52-10000000000000000000000000-4-4-4-4-41−51+51−51+51−51+51−51+51−51+5000001+51+51+51+51+51−3−521−3−521−3−521−3−521−3−52000001−51−51−51−51−5−3+521−3+521−3+521−3+521−3+5210000000000000000000000000
χ15044444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500000−1−5−1−5−1−5−1−5−1−53+52-13+52-13+52-13+52-13+52-100000−1+5−1+5−1+5−1+5−1+5-13−52-13−52-13−52-13−52-13−520000000000000000000000000-4-4-4-4-41+51−51+51−51+51−51+51−51+51−5000001+51+51+51+51+5−3−521−3−521−3−521−3−521−3−521000001−51−51−51−51−51−3+521−3+521−3+521−3+521−3+520000000000000000000000000
χ151444-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+500000−1−5−1−5−1−51+51+5-13+52-13+52-13+521−3−521−3−5200000−1+5−1+5−1+51−51−53−52-13−52-13−52-1−3+521−3+5210000000000000000000000000-4-4-4441−51+51−51+51−51+5−1+5−1−5−1+5−1−5000001+51+51+5−1−5−1−51−3−521−3−521−3−52-13+52-13+52000001−51−51−5−1+5−1+5−3+521−3+521−3+5213−52-13−52-10000000000000000000000000
χ152444-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−500000−1−5−1−5−1−51+51+53+52-13+52-13+52-1−3−521−3−52100000−1+5−1+5−1+51−51−5-13−52-13−52-13−521−3+521−3+520000000000000000000000000-4-4-4441+51−51+51−51+51−5−1−5−1+5−1−5−1+5000001+51+51+5−1−5−1−5−3−521−3−521−3−5213+52-13+52-1000001−51−51−5−1+5−1+51−3+521−3+521−3+52-13−52-13−520000000000000000000000000
χ15344-44-4−1+5−1−5−1+5−1−51−51+5−1+5−1−51−51+500000−1−5−1−51+5−1−51+5-13+52-13+521−3−52-13+521−3−5200000−1+5−1+51−5−1+51−53−52-13−52-1−3+5213−52-1−3+5210000000000000000000000000-4-44-441−51+51−51+5−1+5−1−51−51+5−1+5−1−5000001+51+5−1−51+5−1−51−3−521−3−52-13+521−3−52-13+52000001−51−5−1+51−5−1+5−3+521−3+5213−52-1−3+5213−52-10000000000000000000000000
χ15444-44-4−1−5−1+5−1−5−1+51+51−5−1−5−1+51+51−500000−1−5−1−51+5−1−51+53+52-13+52-1−3−5213+52-1−3−52100000−1+5−1+51−5−1+51−5-13−52-13−521−3+52-13−521−3+520000000000000000000000000-4-44-441+51−51+51−5−1−5−1+51+51−5−1−5−1+5000001+51+5−1−51+5−1−5−3−521−3−5213+52-1−3−5213+52-1000001−51−5−1+51−5−1+51−3+521−3+52-13−521−3+52-13−520000000000000000000000000
χ15544-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−500000−1−5−1−51+51+5−1−5-13+52-13+521−3−521−3−52-13+5200000−1+5−1+51−51−5−1+53−52-13−52-1−3+521−3+5213−52-10000000000000000000000000-4-444-41−51+51−51+5−1+5−1−5−1+5−1−51−51+5000001+51+5−1−5−1−51+51−3−521−3−52-13+52-13+521−3−52000001−51−5−1+5−1+51−5−3+521−3+5213−52-13−52-1−3+5210000000000000000000000000
χ15644-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1−51+51+5−1−53+52-13+52-1−3−521−3−5213+52-100000−1+5−1+51−51−5−1+5-13−52-13−521−3+521−3+52-13−520000000000000000000000000-4-444-41+51−51+51−5−1−5−1+5−1−5−1+51+51−5000001+51+5−1−5−1−51+5−3−521−3−5213+52-13+52-1−3−521000001−51−5−1+5−1+51−51−3+521−3+52-13−52-13−521−3+520000000000000000000000000
χ1574-400044-4-40000004i−4i000−1−51+5000−1−5−1−51+51+5000000−2ζ3−2ζ72ζ3+2ζ7000−1+51−5000−1+5−1+51−51−5000000−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000-44000-4-444000000−4i4i0001+5−1−50001+51+5−1−5−1−50000002ζ3+2ζ7−2ζ3−2ζ70001−5−1+50001−51−5−1+5−1+50000002ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000
χ1584-400044-4-4000000−4i4i000−1−51+5000−1−5−1−51+51+50000002ζ3+2ζ7−2ζ3−2ζ7000−1+51−5000−1+5−1+51−51−50000002ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000-44000-4-4440000004i−4i0001+5−1−50001+51+5−1−5−1−5000000−2ζ3−2ζ72ζ3+2ζ70001−5−1+50001−51−5−1+5−1+5000000−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000
χ1598-8000−2+25−2−252−252+2500000000000−2−252+25000-23+52−3−500000000000−2+252−250003−5-2−3+520000000000000000000000000000000-880002−252+25−2+25−2−25000000000002+25−2−250002−3−5-23+5000000000002−25−2+25000−3+523−5-20000000000000000000000000000000
χ1608-8000−2−25−2+252+252−2500000000000−2−252+250003+5-2−3−5200000000000−2+252−25000-23−52−3+50000000000000000000000000000000-880002+252−25−2−25−2+25000000000002+25−2−25000−3−523+5-2000000000002−25−2+250002−3+5-23−50000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.