Finite Group Databasebeta

← Group #12965630

Character table — Group #12965630

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188
size1111222222222244444444444444448888888881010202020202040111122222222224444444444444444888888888101020202020204011112222222222444444444444444488888888810102020202020401111222222222244444444444444448888888881010202020202040
order1222445510101010101044882020202040404040404040404202020202020202044222884222244101010101010101044882020202040404040404040404202020202020202044222884222244101010101010101044882020202040404040404040404202020202020202044222884222244101010101010101044882020202040404040404040404202020202020202044222884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111
χ511111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-111-1
χ611111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-11
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1
χ9222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ10222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ11222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000
χ12222222−1+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+522−1+52−1+52−1−52−1−521−521−521+521+5200000000222222−1+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+522−1+52−1+52−1−52−1−521−521−521+521+5200000000222222−1+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+522−1+52−1+52−1−52−1−521−521−521+521+5200000000222222−1+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+522−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ13222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000222222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ14222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ15222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000
χ16222222−1−52−1+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+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000222222−1−52−1+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+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000222222−1−52−1+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+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000222222−1−52−1+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+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ172222-2-2222222220000-2-2-2-20000000000000000022-2000002222-2-2222222220000-2-2-2-20000000000000000022-2000002222-2-2222222220000-2-2-2-20000000000000000022-2000002222-2-2222222220000-2-2-2-20000000000000000022-200000
χ182222-2-2222222220000-2-2-2-200000000000000000-2-22000002222-2-2222222220000-2-2-2-200000000000000000-2-22000002222-2-2222222220000-2-2-2-200000000000000000-2-22000002222-2-2222222220000-2-2-2-200000000000000000-2-2200000
χ192-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i20000000002i−2i0002−202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i20000000002i−2i0002−202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i20000000002i−2i0002−202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i20000000002i−2i0002−20
χ202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i2000000000−2i2i000−2202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i2000000000−2i2i000−2202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i2000000000−2i2i000−2202-22-20022-2-222-2-200i2−i20000i2i2−i2−i2i2i2−i2−i2000000000−2i2i000−220
χ212-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i20000000002i−2i000−2202-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i20000000002i−2i000−2202-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i20000000002i−2i000−2202-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i20000000002i−2i000−220
χ222-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i2000000000−2i2i0002−202-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i2000000000−2i2i0002−202-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i2000000000−2i2i0002−202-22-20022-2-222-2-200−i2i20000−i2−i2i2i2−i2−i2i2i2000000000−2i2i0002−20
χ232-2-222-222-2-2-2-2220000-2-222000000000000000000002-20002-2-222-222-2-2-2-2220000-2-222000000000000000000002-20002-2-222-222-2-2-2-2220000-2-222000000000000000000002-20002-2-222-222-2-2-2-2220000-2-222000000000000000000002-2000
χ242-2-222-222-2-2-2-2220000-2-22200000000000000000000-220002-2-222-222-2-2-2-2220000-2-22200000000000000000000-220002-2-222-222-2-2-2-2220000-2-22200000000000000000000-220002-2-222-222-2-2-2-2220000-2-22200000000000000000000-22000
χ252-2-22-2222-2-2-2-2222-20022-2-200000000000002-22-2000000002-2-22-2222-2-2-2-2222-20022-2-200000000000002-22-2000000002-2-22-2222-2-2-2-2222-20022-2-200000000000002-22-2000000002-2-22-2222-2-2-2-2222-20022-2-200000000000002-22-200000000
χ262-2-22-2222-2-2-2-222-220022-2-20000000000000-22-22000000002-2-22-2222-2-2-2-222-220022-2-20000000000000-22-22000000002-2-22-2222-2-2-2-222-220022-2-20000000000000-22-22000000002-2-22-2222-2-2-2-222-220022-2-20000000000000-22-2200000000
χ272-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+5200000000
χ282-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1−521+52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1−521+52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1−521+52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−522-200−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1−521+5200000000
χ292-2-22-22−1+52−1−521−521+521−521+52−1+52−1−52-2200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ141−52−1+521+52−1−52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−52-2200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ141−52−1+521+52−1−52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−52-2200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ141−52−1+521+52−1−52000000002-2-22-22−1+52−1−521−521+521−521+52−1+52−1−52-2200−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ141−52−1+521+52−1−5200000000
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χ18144-4-400−1−5−1+5−1−5−1+51+51−51+51−500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000-4-444001+51−51+51−5−1−5−1+5−1−5−1+500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000-4-444001+51−51+51−5−1−5−1+5−1−5−1+500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000044-4-400−1−5−1+5−1−5−1+51+51−51+51−500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ18244-4-400−1−5−1+5−1−5−1+51+51−51+51−500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000-4-444001+51−51+51−5−1−5−1+5−1−5−1+500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000-4-444001+51−51+51−5−1−5−1+5−1−5−1+500000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000044-4-400−1−5−1+5−1−5−1+51+51−51+51−500000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ1834-44-400−1+5−1−51−51+5−1+5−1−51−51+5002i2−2i20000ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000-44-44001−51+5−1+5−1−51−51+5−1+5−1−500−2i22i20000−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000-44-44001−51+5−1+5−1−51−51+5−1+5−1−500−2i22i20000−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39000000000000000004-44-400−1+5−1−51−51+5−1+5−1−51−51+5002i2−2i20000ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000
χ1844-44-400−1+5−1−51−51+5−1+5−1−51−51+500−2i22i20000−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000-44-44001−51+5−1+5−1−51−51+5−1+5−1−5002i2−2i20000ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000-44-44001−51+5−1+5−1−51−51+5−1+5−1−5002i2−2i20000ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39000000000000000004-44-400−1+5−1−51−51+5−1+5−1−51−51+500−2i22i20000−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000
χ1854-44-400−1−5−1+51+51−5−1−5−1+51+51−5002i2−2i20000ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000-44-44001+51−5−1−5−1+51+51−5−1−5−1+500−2i22i20000−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000-44-44001+51−5−1−5−1+51+51−5−1−5−1+500−2i22i20000−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37000000000000000004-44-400−1−5−1+51+51−5−1−5−1+51+51−5002i2−2i20000ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000
χ1864-44-400−1−5−1+51+51−5−1−5−1+51+51−500−2i22i20000−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000-44-44001+51−5−1−5−1+51+51−5−1−5−1+5002i2−2i20000ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000-44-44001+51−5−1−5−1+51+51−5−1−5−1+5002i2−2i20000ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37000000000000000004-44-400−1−5−1+51+51−5−1−5−1+51+51−500−2i22i20000−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000
χ1874-4-444-4−1+5−1−51−51+51−51+5−1+5−1−500001−51+5−1+5−1−50000000000000000000000000-444-4-441−51+5−1+5−1−5−1+5−1−51−51+50000−1+5−1−51−51+50000000000000000000000000-444-4-441−51+5−1+5−1−5−1+5−1−51−51+50000−1+5−1−51−51+500000000000000000000000004-4-444-4−1+5−1−51−51+51−51+5−1+5−1−500001−51+5−1+5−1−50000000000000000000000000
χ1884-4-444-4−1−5−1+51+51−51+51−5−1−5−1+500001+51−5−1−5−1+50000000000000000000000000-444-4-441+51−5−1−5−1+5−1−5−1+51+51−50000−1−5−1+51+51−50000000000000000000000000-444-4-441+51−5−1−5−1+5−1−5−1+51+51−50000−1−5−1+51+51−500000000000000000000000004-4-444-4−1−5−1+51+51−51+51−5−1−5−1+500001+51−5−1−5−1+50000000000000000000000000

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