Finite Group Databasebeta

← Group #12974488

Character table — Group #12974488

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11112222222222224444444444444448888888888888888888881010101010101010161616162020202020204040401111222222222222444444444444444888888888888888888888101010101010101016161616202020202020404040
order1222224455101010101010224888810101010202020202241010101010101010202040404040404040402244888810102020224488224222222441010101010101010224888810101010202020202241010101010101010202040404040404040402244888810102020224488224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-111111111111111111111-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-11
χ41111111111111111111-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-11111111111111111111-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-1
χ51111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1
χ61111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ71111111111111111-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-11111111111111111-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-1
χ81111111111111111-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-111111111111111111-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11
χ91111-1-1111111111111-111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111111-11111-1-1111111111111-111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111111-1
χ101111-1-1111111111111-111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111111-1-1-1-1-111111-1-1111111111111-111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111111-1-1-1-1-11
χ111111-1-1111111111111-1-1-111-1-1-1-11111-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-11-1-11-1-11111-1-1111111111111-1-1-111-1-1-1-11111-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-11-1-11-1-1
χ121111-1-1111111111111-1-1-111-1-1-1-11111-11-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-111-1111111-1-1111111111111-1-1-111-1-1-1-11111-11-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-111-111
χ131111-1-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1111-1-111111-1-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1111-1-11
χ141111-1-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1-111-11111-1-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1
χ151111-1-11111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-1-11-1-1-1111111-1-11111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-1-11-1-1-111
χ161111-1-11111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1111-1-11111-1-11111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1111-1-1
χ1722222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2−1+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+52000000001−521+521−521+5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2−1+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+52000000001−521+521−521+52000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000000
χ2122222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000000
χ2222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−52000000000
χ2322222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000000
χ2422222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000000
χ25222222-2-22222222200-200002222-2-2-2-200000000000-2-20000000022220000000000-2-200000222222-2-22222222200-200002222-2-2-2-200000000000-2-20000000022220000000000-2-200000
χ26222222-2-22222222200-200002222-2-2-2-200000000000-2-200000000-2-2-2-200000000002200000222222-2-22222222200-200002222-2-2-2-200000000000-2-200000000-2-2-2-200000000002200000
χ272222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000000
χ282222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−52-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−52-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000000
χ292222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−5222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−5222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000000
χ302222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−522-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−522-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000000
χ312222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-222-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-222-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000000
χ322222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+52-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+52-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000000
χ332222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222-2-21+521+521−521−52−1−52−1−52−1+52−1+5222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222-2-21+521+521−521−52−1−52−1−52−1+52−1+5222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000000
χ342222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+522-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+522-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000000
χ352222-2-2-2-2222222220020000-2-2-2-2-2-2-2-200000000000220000000022-2-200000000002-2000002222-2-2-2-2222222220020000-2-2-2-2-2-2-2-200000000000220000000022-2-200000000002-200000
χ362222-2-2-2-2222222220020000-2-2-2-2-2-2-2-2000000000002200000000-2-2220000000000-22000002222-2-2-2-2222222220020000-2-2-2-2-2-2-2-2000000000002200000000-2-2220000000000-2200000
χ372-22-200-2222-2-22-22-22-20000000002-22-20002-22-200000000000000000022-2-200002-200000002-22-200-2222-2-22-22-22-20000000002-22-20002-22-200000000000000000022-2-200002-20000000
χ382-22-200-2222-2-22-22-22-20000000002-22-20002-22-2000000000000000000-2-2220000-2200000002-22-200-2222-2-22-22-22-20000000002-22-20002-22-2000000000000000000-2-2220000-220000000
χ392-22-200-2222-2-22-22-2-220000000002-22-2000-22-2200000000000000000022-2-20000-2200000002-22-200-2222-2-22-22-2-220000000002-22-2000-22-2200000000000000000022-2-20000-220000000
χ402-22-200-2222-2-22-22-2-220000000002-22-2000-22-22000000000000000000-2-22200002-200000002-22-200-2222-2-22-22-2-220000000002-22-2000-22-22000000000000000000-2-22200002-20000000
χ412-2-222-20022-2-2-22-220002−22−22-22-2000000000000000002−22−22−22−22-22-22−22−2000000002−20002-2-222-20022-2-2-22-220002−22−22-22-2000000000000000002−22−22−22−22-22-22−22−2000000002−2000
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χ1354-44-400-44−1−5−1+51+51−5−1−51+5−1+51−54-4000000000−1−51+5−1+51−5000−1−51+5−1+51−500000000000000000000000000000000000-44-44004-41+51−5−1−5−1+51+5−1−51−5−1+5-440000000001+5−1−51−5−1+50001+5−1−51−5−1+500000000000000000000000000000000000
χ1364-44-400-44−1−5−1+51+51−5−1−51+5−1+51−5-44000000000−1−51+5−1+51−50001+5−1−51−5−1+500000000000000000000000000000000000-44-44004-41+51−5−1−5−1+51+5−1−51−5−1+54-40000000001+5−1−51−5−1+5000−1−51+5−1+51−500000000000000000000000000000000000
χ1374-4-444-400−1+5−1−51−51+51−5−1+51+5−1−500022−2222−22−1+51−5−1−51+500000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000-444-4-44001−51+5−1+5−1−5−1+51−5−1−51+5000−2222−22221−5−1+51+5−1−500000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000
χ1384-4-444-400−1+5−1−51−51+51−5−1+51+5−1−5000−2222−2222−1+51−5−1−51+500000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000-444-4-44001−51+5−1+5−1−5−1+51−5−1−51+500022−2222−221−5−1+51+5−1−500000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000
χ1394-4-444-400−1−5−1+51+51−51+5−1−51−5−1+500022−2222−22−1−51+5−1+51−500000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000-444-4-44001+51−5−1−5−1+5−1−51+5−1+51−5000−2222−22221+5−1−51−5−1+500000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000
χ1404-4-444-400−1−5−1+51+51−51+5−1−51−5−1+5000−2222−2222−1−51+5−1+51−500000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000-444-4-44001+51−5−1−5−1+5−1−51+5−1+51−500022−2222−221+5−1−51−5−1+500000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000
χ1414-4-44-4400−1+5−1−51−51+51−5−1+51+5−1−500022−22−22221−5−1+51+5−1−500000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000-444-44-4001−51+5−1+5−1−5−1+51−5−1−51+5000−222222−22−1+51−5−1−51+500000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000
χ1424-4-44-4400−1+5−1−51−51+51−5−1+51+5−1−5000−222222−221−5−1+51+5−1−500000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000-444-44-4001−51+5−1+5−1−5−1+51−5−1−51+500022−22−2222−1+51−5−1−51+500000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000
χ1434-4-44-4400−1−5−1+51+51−51+5−1−51−5−1+500022−22−22221+5−1−51−5−1+500000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000-444-44-4001+51−5−1−5−1+5−1−51+5−1+51−5000−222222−22−1−51+5−1+51−500000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000
χ1444-4-44-4400−1−5−1+51+51−51+5−1−51−5−1+5000−222222−221+5−1−51−5−1+500000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000-444-44-4001+51−5−1−5−1+5−1−51+5−1+51−500022−22−2222−1−51+5−1+51−500000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000
χ14588-8-80000−2+25−2−25−2+25−2−252−252−252+252+25000000000000000000000000000000000000000000000000000000000-8-88800002−252+252−252+25−2+25−2+25−2−25−2−25000000000000000000000000000000000000000000000000000000000
χ14688-8-80000−2−25−2+25−2−25−2+252+252+252−252−25000000000000000000000000000000000000000000000000000000000-8-88800002+252−252+252−25−2−25−2−25−2+25−2+25000000000000000000000000000000000000000000000000000000000

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