Finite Group Databasebeta

← Group #12149420

Character table — Group #12149420

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11111111222222222222222222222222444444444444444444444444448888888888888888888888888888888888888888101010101010101016161616161616161616202020202020202020202020404040408080
order1222222244444444551010101010101010101010101010448888888820202020202020202020202020202020444420202020202020202020202020202020202020204040404040404040404040404040404088888888442020202020202020222244448888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1
χ91111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-11-1
χ101111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1111111-1-111-11
χ111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-11
χ121111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-111111111-1-11-1
χ131111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-11
χ141111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-11111-1-1111-1
χ151111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1
χ161111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1111111-1-1-11
χ172222222222222222−1+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+52−1−522222222222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ182222222222222222−1+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+52−1−522222222222−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+52000000000000000000
χ192222222222222222−1+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000-2-21−521−521+521+521−521−521+521+52000000000000000000
χ202222222222222222−1+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+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+520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222222222−1−52−1+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+522222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ222222222222222222−1−52−1+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+522222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+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+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−52000000000000000000
χ232222222222222222−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000-2-21+521+521−521−521+521+521−521−52000000000000000000
χ242222222222222222−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+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+521−521−521−521−520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ252222222222-2-2-2-222−1+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+52−1−52-2-22222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-21−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ262222222222-2-2-2-222−1+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+52−1−52-2-22222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2221−521−521+521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ272222222222-2-2-2-222−1+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+52−1−52-2-2-2-2-2-22222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-21−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ282222222222-2-2-2-222−1+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+52−1−52-2-2-2-2-2-22222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2221−521−521+521+521−521−521−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ292222222222-2-2-2-222−1−52−1+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+52-2-22222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ302222222222-2-2-2-222−1−52−1+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+52-2-22222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ312222222222-2-2-2-222−1−52−1+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+52-2-2-2-2-2-22222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-21+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ322222222222-2-2-2-222−1−52−1+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+52-2-2-2-2-2-22222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2221+521+521−521−521+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222222-2-22222-2-22222222222222222-2-200000000-2-2-2-2-2-222222222-2-20000-2-2-2-2000000000000000000000000000000000000000000000000002222-2-2-2-20000000000
χ3422222222-2-22222-2-22222222222222222-2-200000000-2-2-2-2-2-222222222-2-20000-2-2-2-200000000000000000000000000000000000000000000000000-2-2-2-222220000000000
χ3522222222-2-2-2-2-2-2-2-222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000000000000000000022-2-2-2-2220000000000
χ3622222222-2-2-2-2-2-2-2-222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000000000-2-22222-2-20000000000
χ37222-2-22-2-22-20000-2222222-2-22-2-22-22-2-2-200000000002-2-22-2-20000000022002i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000002222-2-2-2-20000000000000000000000002i−2i00
χ38222-2-22-2-22-20000-2222222-2-22-2-22-22-2-2-200000000002-2-22-2-20000000022002i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000-2-2-2-22222000000000000000000000000−2i2i00
χ39222-2-22-2-22-20000-2222222-2-22-2-22-22-2-2-200000000002-2-22-2-2000000002200−2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000002222-2-2-2-2000000000000000000000000−2i2i00
χ40222-2-22-2-22-20000-2222222-2-22-2-22-22-2-2-200000000002-2-22-2-2000000002200−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000-2-2-2-222220000000000000000000000002i−2i00
χ4122-2-22-22-20022-2-2002222-22-2-22-2-2-2-2-22200i2i2−i2−i2i2i2−i2−i200000022-2-222-2-200000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000002-22-20000i2i2−i2−i2000000
χ4222-2-22-22-20022-2-2002222-22-2-22-2-2-2-2-22200i2i2−i2−i2i2i2−i2−i200000022-2-222-2-200000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000-22-220000−i2−i2i2i2000000
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χ1194-4-4444-4-44-400004-4−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−50000000000−1+5−1+51−5−1−5−1−51+5000000001−51+5−4i4i0000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000
χ1204-4-4444-4-44-400004-4−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+50000000000−1−5−1−51+5−1+5−1+51−5000000001+51−54i−4i000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000
χ1214-4-4444-4-44-400004-4−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+50000000000−1−5−1−51+5−1+5−1+51−5000000001+51−5−4i4i0000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000000000
χ1224-4-4444-4-4-440000-4444-4-44-4-44-4-4-44-44440000000000-4-44-4-4400000000440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-4444-4-4-440000-44−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−500000000001−51−5−1+51+51+5−1−500000000−1+5−1−500000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000
χ1244-4-4444-4-4-440000-44−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−500000000001−51−5−1+51+51+5−1−500000000−1+5−1−50000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000
χ1254-4-4444-4-4-440000-44−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+500000000001+51+5−1−51−51−5−1+500000000−1−5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000
χ1264-4-4444-4-4-440000-44−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+500000000001+51+5−1−51−51−5−1+500000000−1−5−1+500000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000
χ1274-4-4-4-4444444-4-44-4-4−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+51−51+54-400000000−1+51−5−1+5−1−51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+50000−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-4-4-4444444-4-44-4-4−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−51+51−54-400000000−1−51+5−1−5−1+51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−50000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-4-444444-444-4-4-4−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+51−51+5-4400000000−1+51−5−1+5−1−51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+500001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4-4-444444-444-4-4-4−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−51+51−5-4400000000−1−51+5−1−5−1+51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−500001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000
χ13188-88-8-8-8800000000−2+25−2−25−2+25−2−252−252−25−2+252+252+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13288-88-8-8-8800000000−2−25−2+25−2−25−2+252+252+25−2−252−252−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-88-8-8800000000−2+25−2−252−252+252−252−25−2+252+252+25−2−25−2+252−25−2−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-88-8-8800000000−2−25−2+252+252−252+252+25−2−252−252−25−2+25−2−252+25−2+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.