Finite Group Databasebeta

← Group #12969113

Character table — Group #12969113

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222444444444488888888888888881010101010101010161616161616161620202020404040401111222222222244444444448888888888888888101010101010101016161616161616162020202040404040
order1222445510101010101044888820202020444420202020404040404040404044448888202020202020202024882244222244101010101010101044888820202020444420202020404040404040404044448888202020202020202024882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ61111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ71111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ81111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ911111111111111-1-111-1-111111-11-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11-11-111111111111111-1-111-1-111111-11-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11-11-1
χ1011111111111111-1-111-1-111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-1111111111111111-1-111-1-111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11
χ1111111111111111-1-111-1-11111-11-11-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-11-1111111111111111-1-111-1-11111-11-11-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-11-11
χ1211111111111111-1-111-1-11111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-111111111111111-1-111-1-11111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1
χ1311111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-111-111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-111-1
χ1411111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1-1111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1-11
χ1511111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-1111111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-11
χ1611111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-111-111111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-111-1
χ17222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−5200000000−1+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+52−1−52222222−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ18222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+5200000000
χ19222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+521−521+5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ21222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52−1+52−1−521−521+5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ22222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−521−521+52−1+52−1−5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ23222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−522-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52−1+52−1−521−521+5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−522-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ24222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+52−1+52−1−5200000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ25222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+5200000000−1−52−1+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+52222222−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ26222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52000000001+521−521+521−521+521−521+521−5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52000000001+521−521+521−521+521−521+521−5200000000
χ27222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000001+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+5222-2-2-2-2−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ28222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ29222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52−1−52−1+521+521−5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ30222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+521+521−52−1−52−1+5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ31222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+522-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52−1−52−1+521+521−5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+522-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ32222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−521+521−52−1−52−1+5200000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ332222-2-2222222222-20000-2-2-2-200002-22-20000000022-2-20000000000002-20000002222-2-2222222222-20000-2-2-2-200002-22-20000000022-2-20000000000002-2000000
χ342222-2-2222222222-20000-2-2-2-200002-22-200000000-2-222000000000000-220000002222-2-2222222222-20000-2-2-2-200002-22-200000000-2-222000000000000-22000000
χ352222-2-222222222-220000-2-2-2-20000-22-220000000022-2-2000000000000-220000002222-2-222222222-220000-2-2-2-20000-22-220000000022-2-2000000000000-22000000
χ362222-2-222222222-220000-2-2-2-20000-22-2200000000-2-2220000000000002-20000002222-2-222222222-220000-2-2-2-20000-22-2200000000-2-2220000000000002-2000000
χ3722-2-22-222-2-2-2-22200002i−2i2-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000002-2000022-2-22-222-2-2-2-22200002i−2i2-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000002-20000
χ3822-2-22-222-2-2-2-22200002i−2i2-22-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000-22000022-2-22-222-2-2-2-22200002i−2i2-22-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000-220000
χ3922-2-22-222-2-2-2-2220000−2i2i2-22-2000000000000−2i2i−2i2i2i−2i2i−2i00000000000000-22000022-2-22-222-2-2-2-2220000−2i2i2-22-2000000000000−2i2i−2i2i2i−2i2i−2i00000000000000-220000
χ4022-2-22-222-2-2-2-2220000−2i2i2-22-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000002-2000022-2-22-222-2-2-2-2220000−2i2i2-22-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000002-20000
χ4122-2-2-2222-2-2-2-222002i−2i00-22-22000000002i−2i2i−2i00002i−2i−2i2i22-2-2000000000000000022-2-2-2222-2-2-2-222002i−2i00-22-22000000002i−2i2i−2i00002i−2i−2i2i22-2-20000000000000000
χ4222-2-2-2222-2-2-2-222002i−2i00-22-22000000002i−2i2i−2i0000−2i2i2i−2i-2-222000000000000000022-2-2-2222-2-2-2-222002i−2i00-22-22000000002i−2i2i−2i0000−2i2i2i−2i-2-2220000000000000000
χ4322-2-2-2222-2-2-2-22200−2i2i00-22-2200000000−2i2i−2i2i00002i−2i−2i2i-2-222000000000000000022-2-2-2222-2-2-2-22200−2i2i00-22-2200000000−2i2i−2i2i00002i−2i−2i2i-2-2220000000000000000
χ4422-2-2-2222-2-2-2-22200−2i2i00-22-2200000000−2i2i−2i2i0000−2i2i2i−2i22-2-2000000000000000022-2-2-2222-2-2-2-22200−2i2i00-22-2200000000−2i2i−2i2i0000−2i2i2i−2i22-2-20000000000000000
χ454444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-400001−51−51+51+50000−1+51−5−1−51+5000000000000000000000000000000004444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-400001−51−51+51+50000−1+51−5−1−51+500000000000000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+500001−5−1+51+5−1−5000000000000000000000000000000004444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+500001−5−1+51+5−1−500000000000000000000000000000000
χ474444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-400001+51+51−51−50000−1−51+5−1+51−5000000000000000000000000000000004444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-400001+51+51−51−50000−1−51+5−1+51−500000000000000000000000000000000
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χ982222-2-2222222222-20000-2-2-2-200002-22-200000000-2-222000000000000-22000000-2-2-2-222-2-2-2-2-2-2-2-2-22000022220000-22-220000000022-2-20000000000002-2000000
χ992222-2-222222222-220000-2-2-2-20000-22-220000000022-2-2000000000000-22000000-2-2-2-222-2-2-2-2-2-2-2-22-20000222200002-22-200000000-2-2220000000000002-2000000
χ1002222-2-222222222-220000-2-2-2-20000-22-2200000000-2-2220000000000002-2000000-2-2-2-222-2-2-2-2-2-2-2-22-20000222200002-22-20000000022-2-2000000000000-22000000
χ10122-2-22-222-2-2-2-22200002i−2i2-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000002-20000-2-222-22-2-22222-2-20000−2i2i-22-22000000000000−2i2i−2i2i−2i2i−2i2i00000000000000-220000
χ10222-2-22-222-2-2-2-22200002i−2i2-22-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000-220000-2-222-22-2-22222-2-20000−2i2i-22-22000000000000−2i2i−2i2i2i−2i2i−2i000000000000002-20000
χ10322-2-22-222-2-2-2-2220000−2i2i2-22-2000000000000−2i2i−2i2i2i−2i2i−2i00000000000000-220000-2-222-22-2-22222-2-200002i−2i-22-220000000000002i−2i2i−2i−2i2i−2i2i000000000000002-20000
χ10422-2-22-222-2-2-2-2220000−2i2i2-22-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000002-20000-2-222-22-2-22222-2-200002i−2i-22-220000000000002i−2i2i−2i2i−2i2i−2i00000000000000-220000
χ10522-2-2-2222-2-2-2-222002i−2i00-22-22000000002i−2i2i−2i00002i−2i−2i2i22-2-20000000000000000-2-2222-2-2-22222-2-200−2i2i002-22-200000000−2i2i−2i2i0000−2i2i2i−2i-2-2220000000000000000
χ10622-2-2-2222-2-2-2-222002i−2i00-22-22000000002i−2i2i−2i0000−2i2i2i−2i-2-2220000000000000000-2-2222-2-2-22222-2-200−2i2i002-22-200000000−2i2i−2i2i00002i−2i−2i2i22-2-20000000000000000
χ10722-2-2-2222-2-2-2-22200−2i2i00-22-2200000000−2i2i−2i2i00002i−2i−2i2i-2-2220000000000000000-2-2222-2-2-22222-2-2002i−2i002-22-2000000002i−2i2i−2i0000−2i2i2i−2i22-2-20000000000000000
χ10822-2-2-2222-2-2-2-22200−2i2i00-22-2200000000−2i2i−2i2i0000−2i2i2i−2i22-2-20000000000000000-2-2222-2-2-22222-2-2002i−2i002-22-2000000002i−2i2i−2i00002i−2i−2i2i-2-2220000000000000000
χ1094444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-400001−51−51+51+50000−1+51−5−1−51+500000000000000000000000000000000-4-4-4-4441−51+51−51−51+51+51−51+5-440000−1+5−1+5−1−5−1−500001−5−1+51+5−1−500000000000000000000000000000000
χ1104444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+500001−5−1+51+5−1−500000000000000000000000000000000-4-4-4-4441−51+51−51−51+51+51−51+54-40000−1+5−1+5−1−5−1−50000−1+51−5−1−51+500000000000000000000000000000000
χ1114444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-400001+51+51−51−50000−1−51+5−1+51−500000000000000000000000000000000-4-4-4-4441+51−51+51+51−51−51+51−5-440000−1−5−1−5−1+5−1+500001+5−1−51−5−1+500000000000000000000000000000000
χ1124444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4400001+51+51−51−500001+5−1−51−5−1+500000000000000000000000000000000-4-4-4-4441+51−51+51+51−51−51+51−54-40000−1−5−1−5−1+5−1+50000−1−51+5−1+51−500000000000000000000000000000000
χ11344-4-44-4−1+5−1−51−51−51+51+5−1+5−1−500004i−4i−1+51−5−1−51+5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000-4-444-441−51+5−1+5−1+5−1−5−1−51−51+50000−4i4i1−5−1+51+5−1−50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000
χ11444-4-44-4−1+5−1−51−51−51+51+5−1+5−1−50000−4i4i−1+51−5−1−51+50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000-4-444-441−51+5−1+5−1+5−1−5−1−51−51+500004i−4i1−5−1+51+5−1−5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000
χ11544-4-44-4−1−5−1+51+51+51−51−5−1−5−1+500004i−4i−1−51+5−1+51−5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000-4-444-441+51−5−1−5−1−5−1+5−1+51+51−50000−4i4i1+5−1−51−5−1+50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000
χ11644-4-44-4−1−5−1+51+51+51−51−5−1−5−1+50000−4i4i−1−51+5−1+51−50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000-4-444-441+51−5−1−5−1−5−1+5−1+51+51−500004i−4i1+5−1−51−5−1+5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000
χ11744-4-4-44−1+5−1−51−51−51+51+5−1+5−1−5004i−4i001−5−1+51+5−1−500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000-4-4444-41−51+5−1+5−1+5−1−5−1−51−51+500−4i4i00−1+51−5−1−51+5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000
χ11844-4-4-44−1+5−1−51−51−51+51+5−1+5−1−500−4i4i001−5−1+51+5−1−5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000-4-4444-41−51+5−1+5−1+5−1−5−1−51−51+5004i−4i00−1+51−5−1−51+500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000
χ11944-4-4-44−1−5−1+51+51+51−51−5−1−5−1+5004i−4i001+5−1−51−5−1+500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000-4-4444-41+51−5−1−5−1−5−1+5−1+51+51−500−4i4i00−1−51+5−1+51−5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000
χ12044-4-4-44−1−5−1+51+51+51−51−5−1−5−1+500−4i4i001+5−1−51−5−1+5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000-4-4444-41+51−5−1−5−1−5−1+5−1+51+51−5004i−4i00−1−51+5−1+51−500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000
χ1214-44-400444-44-4-4-40000000000000000000000000000002i2−2i22i2−2i20000000000000000-44-4400-4-4-44-4444000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ1224-44-400444-44-4-4-4000000000000000000000000000000−2i22i2−2i22i20000000000000000-44-4400-4-4-44-44440000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ1234-4-440044-44-44-4-40000000000000000000000000000002i2−2i2−2i22i20000000000000000-444-400-4-44-44-444000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ1244-4-440044-44-44-4-4000000000000000000000000000000−2i22i22i2−2i20000000000000000-444-400-4-44-44-4440000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ1258-88-800−2+25−2−25−2+252−25−2−252+252−252+2500000000000000000000000000000000000000000000000000-88-88002−252+252−25−2+252+25−2−25−2+25−2−2500000000000000000000000000000000000000000000000000
χ1268-88-800−2−25−2+25−2−252+25−2+252−252+252−2500000000000000000000000000000000000000000000000000-88-88002+252−252+25−2−252−25−2+25−2−25−2+2500000000000000000000000000000000000000000000000000
χ1278-8-8800−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000000000000000000000000000000000-888-8002−252+25−2+252−25−2−252+25−2+25−2−2500000000000000000000000000000000000000000000000000
χ1288-8-8800−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000000000000000000000000000000000-888-8002+252−25−2−252+25−2+252−25−2−25−2+2500000000000000000000000000000000000000000000000000

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