Finite Group Databasebeta

← Group #12252423

Character table — Group #12252423

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222244444444448888888822224444444444888888888816161616161616162222444444444488888888881616161616161616555510101010101010101010202020202020202020204040404040404040
order12442488888888244444888816161616161616165102020102040404040404040401020202020204040404080808080808080805102020102040404040404040401020202020204040404080808080808080802244248888888824444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i
χ61111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii1111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii1111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii1111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii
χ71111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i
χ9111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1
χ10111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11
χ11111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11
χ12111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1
χ13111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii
χ14111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i
χ15111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i
χ16111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii
χ172222-2-2000022-2-200002i−2i002i−2i000000002222-2-2000022-2-200002i−2i002i−2i000000002222-2-2000022-2-200002i−2i002i−2i000000002222-2-2000022-2-200002i−2i002i−2i00000000
χ182222-2-2000022-2-20000−2i2i00−2i2i000000002222-2-2000022-2-20000−2i2i00−2i2i000000002222-2-2000022-2-20000−2i2i00−2i2i000000002222-2-2000022-2-20000−2i2i00−2i2i00000000
χ192222-2-20000-2-22200002i−2i00−2i2i000000002222-2-20000-2-22200002i−2i00−2i2i000000002222-2-20000-2-22200002i−2i00−2i2i000000002222-2-20000-2-22200002i−2i00−2i2i00000000
χ202222-2-20000-2-2220000−2i2i002i−2i000000002222-2-20000-2-2220000−2i2i002i−2i000000002222-2-20000-2-2220000−2i2i002i−2i000000002222-2-20000-2-2220000−2i2i002i−2i00000000
χ2122-2-22-200002i−2i2i−2i2-200002i−2i000000000022-2-22-200002i−2i2i−2i2-200002i−2i000000000022-2-22-200002i−2i2i−2i2-200002i−2i000000000022-2-22-200002i−2i2i−2i2-200002i−2i0000000000
χ2222-2-22-200002i−2i2i−2i-220000−2i2i000000000022-2-22-200002i−2i2i−2i-220000−2i2i000000000022-2-22-200002i−2i2i−2i-220000−2i2i000000000022-2-22-200002i−2i2i−2i-220000−2i2i0000000000
χ2322-2-22-20000−2i2i−2i2i2-20000−2i2i000000000022-2-22-20000−2i2i−2i2i2-20000−2i2i000000000022-2-22-20000−2i2i−2i2i2-20000−2i2i000000000022-2-22-20000−2i2i−2i2i2-20000−2i2i0000000000
χ2422-2-22-20000−2i2i−2i2i-2200002i−2i000000000022-2-22-20000−2i2i−2i2i-2200002i−2i000000000022-2-22-20000−2i2i−2i2i-2200002i−2i000000000022-2-22-20000−2i2i−2i2i-2200002i−2i0000000000
χ2522-2-2-2222-2-22i−2i−2i2i002i−2i0000000000000022-2-2-2222-2-22i−2i−2i2i002i−2i0000000000000022-2-2-2222-2-22i−2i−2i2i002i−2i0000000000000022-2-2-2222-2-22i−2i−2i2i002i−2i00000000000000
χ2622-2-2-2222-2-2−2i2i2i−2i00−2i2i0000000000000022-2-2-2222-2-2−2i2i2i−2i00−2i2i0000000000000022-2-2-2222-2-2−2i2i2i−2i00−2i2i0000000000000022-2-2-2222-2-2−2i2i2i−2i00−2i2i00000000000000
χ2722-2-2-22-2-2222i−2i−2i2i00−2i2i0000000000000022-2-2-22-2-2222i−2i−2i2i00−2i2i0000000000000022-2-2-22-2-2222i−2i−2i2i00−2i2i0000000000000022-2-2-22-2-2222i−2i−2i2i00−2i2i00000000000000
χ2822-2-2-22-2-222−2i2i2i−2i002i−2i0000000000000022-2-2-22-2-222−2i2i2i−2i002i−2i0000000000000022-2-2-22-2-222−2i2i2i−2i002i−2i0000000000000022-2-2-22-2-222−2i2i2i−2i002i−2i00000000000000
χ294-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−220000000000000000000000
χ304-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−22220000000000000000000000
χ314-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−22220000000000000000000000
χ324-4−4i4i00−2i22i222−2200000000000000000000004-4−4i4i00−2i22i222−2200000000000000000000004-4−4i4i00−2i22i222−2200000000000000000000004-4−4i4i00−2i22i222−220000000000000000000000
χ33111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3511111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ3611111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ371111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-1-1-111ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1−i−iii−i−iii
χ381111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii1111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii1111111111-1-1-1-111-1-1-1-1-1-111−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1ii−i−iii−i−i
χ391111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−i
χ401111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii
χ41111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-11-11-11-11
χ42111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-11-11-1
χ43111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11111111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11-111-11-1
χ44111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1111111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11-11-1-11-11
χ45111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii-1-1-1-1-1-111111111-1-1-1-1-1-11111−iii−i−iii−i
χ46111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i-1-1-1-1-1-111111111-1-1-1-1-1-11111i−i−iii−i−ii
χ47111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i-1-1-1-1-1-11111111111-1-111-1-1-1-1−iii−ii−i−ii
χ48111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii-1-1-1-1-1-11111111111-1-111-1-1-1-1i−i−ii−iii−i
χ492222-2-2000022-2-200002i−2i002i−2i000000002222-2-2000022-2-200002i−2i002i−2i000000002222-2-2000022-2-200002i−2i002i−2i00000000-2-2-2-2220000-2-2220000−2i2i00−2i2i00000000
χ502222-2-2000022-2-20000−2i2i00−2i2i000000002222-2-2000022-2-20000−2i2i00−2i2i000000002222-2-2000022-2-20000−2i2i00−2i2i00000000-2-2-2-2220000-2-22200002i−2i002i−2i00000000
χ512222-2-20000-2-22200002i−2i00−2i2i000000002222-2-20000-2-22200002i−2i00−2i2i000000002222-2-20000-2-22200002i−2i00−2i2i00000000-2-2-2-222000022-2-20000−2i2i002i−2i00000000
χ522222-2-20000-2-2220000−2i2i002i−2i000000002222-2-20000-2-2220000−2i2i002i−2i000000002222-2-20000-2-2220000−2i2i002i−2i00000000-2-2-2-222000022-2-200002i−2i00−2i2i00000000
χ5322-2-22-200002i−2i2i−2i2-200002i−2i000000000022-2-22-200002i−2i2i−2i2-200002i−2i000000000022-2-22-200002i−2i2i−2i2-200002i−2i0000000000-2-222-220000−2i2i−2i2i-220000−2i2i0000000000
χ5422-2-22-200002i−2i2i−2i-220000−2i2i000000000022-2-22-200002i−2i2i−2i-220000−2i2i000000000022-2-22-200002i−2i2i−2i-220000−2i2i0000000000-2-222-220000−2i2i−2i2i2-200002i−2i0000000000
χ5522-2-22-20000−2i2i−2i2i2-20000−2i2i000000000022-2-22-20000−2i2i−2i2i2-20000−2i2i000000000022-2-22-20000−2i2i−2i2i2-20000−2i2i0000000000-2-222-2200002i−2i2i−2i-2200002i−2i0000000000
χ5622-2-22-20000−2i2i−2i2i-2200002i−2i000000000022-2-22-20000−2i2i−2i2i-2200002i−2i000000000022-2-22-20000−2i2i−2i2i-2200002i−2i0000000000-2-222-2200002i−2i2i−2i2-20000−2i2i0000000000
χ5722-2-2-2222-2-22i−2i−2i2i002i−2i0000000000000022-2-2-2222-2-22i−2i−2i2i002i−2i0000000000000022-2-2-2222-2-22i−2i−2i2i002i−2i00000000000000-2-2222-2-2-222−2i2i2i−2i00−2i2i00000000000000
χ5822-2-2-2222-2-2−2i2i2i−2i00−2i2i0000000000000022-2-2-2222-2-2−2i2i2i−2i00−2i2i0000000000000022-2-2-2222-2-2−2i2i2i−2i00−2i2i00000000000000-2-2222-2-2-2222i−2i−2i2i002i−2i00000000000000
χ5922-2-2-22-2-2222i−2i−2i2i00−2i2i0000000000000022-2-2-22-2-2222i−2i−2i2i00−2i2i0000000000000022-2-2-22-2-2222i−2i−2i2i00−2i2i00000000000000-2-2222-222-2-2−2i2i2i−2i002i−2i00000000000000
χ6022-2-2-22-2-222−2i2i2i−2i002i−2i0000000000000022-2-2-22-2-222−2i2i2i−2i002i−2i0000000000000022-2-2-22-2-222−2i2i2i−2i002i−2i00000000000000-2-2222-222-2-22i−2i−2i2i00−2i2i00000000000000
χ614-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−220000000000000000000000-44−4i4i00−2i22i2−22220000000000000000000000
χ624-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−22220000000000000000000000-44−4i4i002i2−2i222−220000000000000000000000
χ634-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−22220000000000000000000000-444i−4i00−2i22i222−220000000000000000000000
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χ1012222222222-2-2-2-222-2-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ3800000000000000000000000000000000
χ1022222222222-2-2-2-222-2-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+521+521+52−1−52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−521−521−52−1+52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ3800000000000000000000000000000000
χ1032222222222-2-2-2-2-2-2-2-22222-2-22i2i−2i−2i−2i−2i2i2i−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+52−1−52−1−52−1−52−1−521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ3800000000000000000000000000000000
χ1042222222222-2-2-2-2-2-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i−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+52−1−52−1−52−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ3800000000000000000000000000000000
χ105222222-2-2-2-2222222-2-2-2-222-2-22-22-22-22-2−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−521+52−1−521+52−1−521+52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+521−52−1+521−52−1+521−52−1+521−5200000000000000000000000000000000
χ106222222-2-2-2-2222222-2-2-2-222-2-2-22-22-22-22−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+52−1−521+52−1−521+52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−52−1+521−52−1+521−52−1+521−52−1+5200000000000000000000000000000000
χ107222222-2-2-2-22222-2-2-2-222-2-2222-22-2-22-22−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+5200000000000000000000000000000000
χ108222222-2-2-2-22222-2-2-2-222-2-222-22-222-22-2−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−52−1−521+52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+52−1+521−52−1+521−5200000000000000000000000000000000
χ109222222-2-2-2-2-2-2-2-2222222-2-2-2-22i−2i−2i2i2i−2i−2i2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−1+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+521−521−521−521−52−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ3800000000000000000000000000000000
χ110222222-2-2-2-2-2-2-2-2222222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14−1+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+521−521−521−521−52ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ3800000000000000000000000000000000
χ111222222-2-2-2-2-2-2-2-2-2-222-2-222222i−2i−2i2i−2i2i2i−2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ3800000000000000000000000000000000
χ112222222-2-2-2-2-2-2-2-2-2-222-2-22222−2i2i2i−2i2i−2i−2i2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−52ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+52ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ3800000000000000000000000000000000
χ1134444-4-4000044-4-400004i−4i004i−4i00000000−1−5−1−5−1−5−1−51+51+50000−1−5−1−51+51+50000−2ζ6−2ζ142ζ6+2ζ1400−2ζ6−2ζ142ζ6+2ζ1400000000−1+5−1+5−1+5−1+51−51−50000−1+5−1+51−51−50000−2ζ22−2ζ382ζ22+2ζ3800−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ1144444-4-4000044-4-40000−4i4i00−4i4i00000000−1−5−1−5−1−5−1−51+51+50000−1−5−1−51+51+500002ζ6+2ζ14−2ζ6−2ζ14002ζ6+2ζ14−2ζ6−2ζ1400000000−1+5−1+5−1+5−1+51−51−50000−1+5−1+51−51−500002ζ22+2ζ38−2ζ22−2ζ38002ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ1154444-4-40000-4-44400004i−4i00−4i4i00000000−1−5−1−5−1−5−1−51+51+500001+51+5−1−5−1−50000−2ζ6−2ζ142ζ6+2ζ14002ζ6+2ζ14−2ζ6−2ζ1400000000−1+5−1+5−1+5−1+51−51−500001−51−5−1+5−1+50000−2ζ22−2ζ382ζ22+2ζ38002ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ1164444-4-40000-4-4440000−4i4i004i−4i00000000−1−5−1−5−1−5−1−51+51+500001+51+5−1−5−1−500002ζ6+2ζ14−2ζ6−2ζ1400−2ζ6−2ζ142ζ6+2ζ1400000000−1+5−1+5−1+5−1+51−51−500001−51−5−1+5−1+500002ζ22+2ζ38−2ζ22−2ζ3800−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ11744-4-44-400004i−4i4i−4i4-400004i−4i0000000000−1−5−1−51+51+5−1−51+50000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−1−51+50000−2ζ6−2ζ142ζ6+2ζ140000000000−1+5−1+51−51−5−1+51−50000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−1+51−50000−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ11844-4-44-400004i−4i4i−4i-440000−4i4i0000000000−1−5−1−51+51+5−1−51+50000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ141+5−1−500002ζ6+2ζ14−2ζ6−2ζ140000000000−1+5−1+51−51−5−1+51−50000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ381−5−1+500002ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ11944-4-44-40000−4i4i−4i4i4-40000−4i4i0000000000−1−5−1−51+51+5−1−51+500002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−1−51+500002ζ6+2ζ14−2ζ6−2ζ140000000000−1+5−1+51−51−5−1+51−500002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−1+51−500002ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ12044-4-44-40000−4i4i−4i4i-4400004i−4i0000000000−1−5−1−51+51+5−1−51+500002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ141+5−1−50000−2ζ6−2ζ142ζ6+2ζ140000000000−1+5−1+51−51−5−1+51−500002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ381−5−1+50000−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ12144-4-4-4444-4-44i−4i−4i4i004i−4i00000000000000−1−5−1−51+51+51+5−1−5−1−5−1−51+51+5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ1400−2ζ6−2ζ142ζ6+2ζ1400000000000000−1+5−1+51−51−51−5−1+5−1+5−1+51−51−5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000
χ12244-4-4-4444-4-4−4i4i4i−4i00−4i4i00000000000000−1−5−1−51+51+51+5−1−5−1−5−1−51+51+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14002ζ6+2ζ14−2ζ6−2ζ1400000000000000−1+5−1+51−51−51−5−1+5−1+5−1+51−51−52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38002ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000
χ12344-4-4-44-4-4444i−4i−4i4i00−4i4i00000000000000−1−5−1−51+51+51+5−1−51+51+5−1−5−1−5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14002ζ6+2ζ14−2ζ6−2ζ1400000000000000−1+5−1+51−51−51−5−1+51−51−5−1+5−1+5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38002ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000
χ12444-4-4-44-4-444−4i4i4i−4i004i−4i00000000000000−1−5−1−51+51+51+5−1−51+51+5−1−5−1−52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ1400−2ζ6−2ζ142ζ6+2ζ1400000000000000−1+5−1+51−51−51−5−1+51−51−5−1+5−1+52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000
χ1258-88i−8i004i2−4i242−420000000000000000000000−2−252+25−4ζ6−4ζ144ζ6+4ζ14002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000000000000000000−2+252−25−4ζ22−4ζ384ζ22+4ζ38002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000
χ1268-88i−8i00−4i24i2−42420000000000000000000000−2−252+25−4ζ6−4ζ144ζ6+4ζ1400−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000000000000000000−2+252−25−4ζ22−4ζ384ζ22+4ζ3800−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000
χ1278-8−8i8i004i2−4i2−42420000000000000000000000−2−252+254ζ6+4ζ14−4ζ6−4ζ14002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000000000000000000−2+252−254ζ22+4ζ38−4ζ22−4ζ38002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000
χ1288-8−8i8i00−4i24i242−420000000000000000000000−2−252+254ζ6+4ζ14−4ζ6−4ζ1400−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000000000000000000−2+252−254ζ22+4ζ38−4ζ22−4ζ3800−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000

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