Finite Group Databasebeta

← Group #12965950

Character table — Group #12965950

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size112222222444444444444888888888888888888881010101016161616161620202020202040404040112222222444444444444888888888888888888881010101016161616161620202020202040404040
order1224455101022224410102020202024881010101010101010202020202020202022441010404040402244442488222441010101022224410102020202024881010101010101010202020202020202022441010404040402244442488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1
χ611111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111
χ711111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ811111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ9111111111-1-11-11-11111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-11-1-1-11-11-11-1111111111-1-11-11-11111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-11-1-1-11-11-11-1
χ10111111111-1-11-11-11111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-11-11-11111111111-1-11-11-11111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-11-11-11
χ11111111111-1-11-11-1111111-11-11-1-1-1-111-1-111-1-111111111-1-1-1-1111-1-1-11-1-11-11111111111-1-11-11-1111111-11-11-1-1-1-111-1-111-1-111111111-1-1-1-1111-1-1-11-1-11-11
χ12111111111-1-11-11-1111111-11-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1111-111-11-1111111111-1-11-11-1111111-11-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1111-111-11-1
χ13111111111-1-1-11-111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-11-1-1-111-1-11111111111-1-1-11-111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-11-1-1-111-1-11
χ14111111111-1-1-11-111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-1111-1-111-1111111111-1-1-11-111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-1111-1-111-1
χ15111111111-1-1-11-11111111-111-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-11-1-1-11-111-1111111111-1-1-11-11111111-111-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-11-1-1-11-111-1
χ16111111111-1-1-11-11111111-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1111-11-1-11111111111-1-1-11-11111111-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1111-11-1-11
χ1722222−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52000000000022222−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ1822222−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+5200001−521+521−521+521−521+52000000000022222−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+5200001−521+521−521+521−521+520000000000
χ1922222−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+521−521+52000000000022222−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+521−521+520000000000
χ2022222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−52000000000022222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−520000000000
χ2122222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+52000000000022222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+520000000000
χ2222222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52-22-221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52000000000022222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52-22-221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−520000000000
χ2322222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000−1+52−1−521−521+52−1+52−1−52000000000022222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000−1+52−1−521−521+52−1+52−1−520000000000
χ2422222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+52000000000022222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+520000000000
χ2522222−1−52−1+52−1−52−1+52222222−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+52000000000022222−1−52−1+52−1−52−1+52222222−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ2622222−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−5200001+521−521+521−521+521−52000000000022222−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−5200001+521−521+521−521+521−520000000000
χ2722222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+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+521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−521+521−52000000000022222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+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+521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−521+521−520000000000
χ2822222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521+521−521−5200001+521−52−1−52−1+52−1−52−1+52000000000022222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521+521−521−5200001+521−52−1−52−1+52−1−52−1+520000000000
χ2922222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−520000−1−52−1+52−1−52−1+521+521−52000000000022222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−520000−1−52−1+52−1−52−1+521+521−520000000000
χ3022222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52-22-221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200001+521−521+521−52−1−52−1+52000000000022222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52-22-221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200001+521−521+521−52−1−52−1+520000000000
χ3122222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000−1−52−1+521+521−52−1−52−1+52000000000022222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000−1−52−1+521+521−52−1−52−1+520000000000
χ3222222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+521+521−52000000000022222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+521+521−520000000000
χ33222-2-222222-2000022-2-2-2-200002-22-200000000000022-2-2000000002-2000000222-2-222222-2000022-2-2-2-200002-22-200000000000022-2-2000000002-2000000
χ34222-2-222222-2000022-2-2-2-200002-22-2000000000000-2-22200000000-22000000222-2-222222-2000022-2-2-2-200002-22-2000000000000-2-22200000000-22000000
χ35222-2-22222-22000022-2-2-2-20000-22-2200000000000022-2-200000000-22000000222-2-22222-22000022-2-2-2-20000-22-2200000000000022-2-200000000-22000000
χ36222-2-22222-22000022-2-2-2-20000-22-22000000000000-2-222000000002-2000000222-2-22222-22000022-2-2-2-20000-22-22000000000000-2-222000000002-2000000
χ3722-22-2222200020-2-2-22-22-200000000002200-2-200002-22-200000002000-2000022-22-2222200020-2-2-22-22-200000000002200-2-200002-22-200000002000-20000
χ3822-22-2222200020-2-2-22-22-200000000002200-2-20000-22-220000000-20002000022-22-2222200020-2-2-22-22-200000000002200-2-20000-22-220000000-200020000
χ3922-22-22222000-202-2-22-22-20000000000-2-2002200002-22-20000000-20002000022-22-22222000-202-2-22-22-20000000000-2-2002200002-22-20000000-200020000
χ4022-22-22222000-202-2-22-22-20000000000-2-200220000-22-2200000002000-2000022-22-22222000-202-2-22-22-20000000000-2-200220000-22-2200000002000-20000
χ4122-2-2222220020-20-2-2-22-22000000002200-2-20000002-2-22000000-200020000022-2-2222220020-20-2-2-22-22000000002200-2-20000002-2-22000000-2000200000
χ4222-2-2222220020-20-2-2-22-22000000002200-2-2000000-222-20000002000-20000022-2-2222220020-20-2-2-22-22000000002200-2-2000000-222-20000002000-200000
χ4322-2-22222200-2020-2-2-22-2200000000-2-200220000002-2-220000002000-20000022-2-22222200-2020-2-2-22-2200000000-2-200220000002-2-220000002000-200000
χ4422-2-22222200-2020-2-2-22-2200000000-2-20022000000-222-2000000-200020000022-2-22222200-2020-2-2-22-2200000000-2-20022000000-222-2000000-2000200000
χ45444-4-4−1+5−1−5−1+5−1−54-40000−1+5−1−51−51−51+51+50000−1+51−5−1−51+500000000000000000000000000000000444-4-4−1+5−1−5−1+5−1−54-40000−1+5−1−51−51−51+51+50000−1+51−5−1−51+500000000000000000000000000000000
χ46444-4-4−1+5−1−5−1+5−1−5-440000−1+5−1−51−51−51+51+500001−5−1+51+5−1−500000000000000000000000000000000444-4-4−1+5−1−5−1+5−1−5-440000−1+5−1−51−51−51+51+500001−5−1+51+5−1−500000000000000000000000000000000
χ47444-4-4−1−5−1+5−1−5−1+54-40000−1−5−1+51+51+51−51−50000−1−51+5−1+51−500000000000000000000000000000000444-4-4−1−5−1+5−1−5−1+54-40000−1−5−1+51+51+51−51−50000−1−51+5−1+51−500000000000000000000000000000000
χ48444-4-4−1−5−1+5−1−5−1+5-440000−1−5−1+51+51+51−51−500001+5−1−51−5−1+500000000000000000000000000000000444-4-4−1−5−1+5−1−5−1+5-440000−1−5−1+51+51+51−51−500001+5−1−51−5−1+500000000000000000000000000000000
χ4944-44-4−1+5−1−5−1+5−1−500040-41−51+5−1+51−5−1−51+50000000000−1+5−1−5001−51+500000000000000000000000044-44-4−1+5−1−5−1+5−1−500040-41−51+5−1+51−5−1−51+50000000000−1+5−1−5001−51+5000000000000000000000000
χ5044-44-4−1+5−1−5−1+5−1−5000-4041−51+5−1+51−5−1−51+500000000001−51+500−1+5−1−500000000000000000000000044-44-4−1+5−1−5−1+5−1−5000-4041−51+5−1+51−5−1−51+500000000001−51+500−1+5−1−5000000000000000000000000
χ5144-44-4−1−5−1+5−1−5−1+500040-41+51−5−1−51+5−1+51−50000000000−1−5−1+5001+51−500000000000000000000000044-44-4−1−5−1+5−1−5−1+500040-41+51−5−1−51+5−1+51−50000000000−1−5−1+5001+51−5000000000000000000000000
χ5244-44-4−1−5−1+5−1−5−1+5000-4041+51−5−1−51+5−1+51−500000000001+51−500−1−5−1+500000000000000000000000044-44-4−1−5−1+5−1−5−1+5000-4041+51−5−1−51+5−1+51−500000000001+51−500−1−5−1+5000000000000000000000000
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χ108444-4-4−1−5−1+5−1−5−1+54-40000−1−5−1+51+51+51−51−50000−1−51+5−1+51−500000000000000000000000000000000-4-4-4441+51−51+51−5-4400001+51−5−1−5−1−5−1+5−1+500001+5−1−51−5−1+500000000000000000000000000000000
χ109444-4-4−1−5−1+5−1−5−1+5-440000−1−5−1+51+51+51−51−500001+5−1−51−5−1+500000000000000000000000000000000-4-4-4441+51−51+51−54-400001+51−5−1−5−1−5−1+5−1+50000−1−51+5−1+51−500000000000000000000000000000000
χ11044-44-4−1+5−1−5−1+5−1−500040-41−51+5−1+51−5−1−51+50000000000−1+5−1−5001−51+5000000000000000000000000-4-44-441−51+51−51+5000-404−1+5−1−51−5−1+51+5−1−500000000001−51+500−1+5−1−5000000000000000000000000
χ11144-44-4−1+5−1−5−1+5−1−5000-4041−51+5−1+51−5−1−51+500000000001−51+500−1+5−1−5000000000000000000000000-4-44-441−51+51−51+500040-4−1+5−1−51−5−1+51+5−1−50000000000−1+5−1−5001−51+5000000000000000000000000
χ11244-44-4−1−5−1+5−1−5−1+500040-41+51−5−1−51+5−1+51−50000000000−1−5−1+5001+51−5000000000000000000000000-4-44-441+51−51+51−5000-404−1−5−1+51+5−1−51−5−1+500000000001+51−500−1−5−1+5000000000000000000000000
χ11344-44-4−1−5−1+5−1−5−1+5000-4041+51−5−1−51+5−1+51−500000000001+51−500−1−5−1+5000000000000000000000000-4-44-441+51−51+51−500040-4−1−5−1+51+5−1−51−5−1+50000000000−1−5−1+5001+51−5000000000000000000000000
χ11444-4-44−1+5−1−5−1+5−1−50040-401−51+51−5−1+51+5−1−500000000−1+5−1−5001−51+500000000000000000000000000-4-444-41−51+51−51+500-4040−1+5−1−5−1+51−5−1−51+5000000001−51+500−1+5−1−500000000000000000000000000
χ11544-4-44−1+5−1−5−1+5−1−500-40401−51+51−5−1+51+5−1−5000000001−51+500−1+5−1−500000000000000000000000000-4-444-41−51+51−51+50040-40−1+5−1−5−1+51−5−1−51+500000000−1+5−1−5001−51+500000000000000000000000000
χ11644-4-44−1−5−1+5−1−5−1+50040-401+51−51+5−1−51−5−1+500000000−1−5−1+5001+51−500000000000000000000000000-4-444-41+51−51+51−500-4040−1−5−1+5−1−51+5−1+51−5000000001+51−500−1−5−1+500000000000000000000000000
χ11744-4-44−1−5−1+5−1−5−1+500-40401+51−51+5−1−51−5−1+5000000001+51−500−1−5−1+500000000000000000000000000-4-444-41+51−51+51−50040-40−1−5−1+5−1−51+5−1+51−500000000−1−5−1+5001+51−500000000000000000000000000
χ1188-800088-8-80000000000000000000000000000000000000000000000000000-88000-8-8880000000000000000000000000000000000000000000000000000
χ1198-8000−2+25−2−252−252+2500000000000000000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000000000000000-880002−252+25−2+25−2−250000000000000000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000000000
χ1208-8000−2+25−2−252−252+250000000000000000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000000000-880002−252+25−2+25−2−2500000000000000000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000000000000000
χ1218-8000−2−25−2+252+252−2500000000000000000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000000000000000-880002+252−25−2−25−2+250000000000000000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000000000
χ1228-8000−2−25−2+252+252−250000000000000000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000000000-880002+252−25−2−25−2+2500000000000000000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).