Finite Group Databasebeta

← Group #12252418

Character table — Group #12252418

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222244444444448888888822224444444444888888888816161616161616162222444444444488888888881616161616161616555510101010101010101010202020202020202020204040404040404040
order12442444448888244488888816161616161616165102020102020202020404040401020202040404040404080808080808080805102020102020202020404040401020202040404040404080808080808080802244244444888824448888881616161616161616
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
χ311111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i
χ61111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii
χ71111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i
χ911111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-111111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-111111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-111111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-1
χ1011111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-1111111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-1111111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-1111111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-11
χ1111111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-1111111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-1111111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-1111111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-11
χ1211111-1-1-1-111111-1-111-1-1-1-111-11-111-11-111111-1-1-1-111111-1-111-1-1-1-111-11-111-11-111111-1-1-1-111111-1-111-1-1-1-111-11-111-11-111111-1-1-1-111111-1-111-1-1-1-111-11-111-11-1
χ1311111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii11111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii11111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii11111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii
χ1411111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i11111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i11111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i11111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i
χ1511111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i11111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i11111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i11111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i
χ1611111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii11111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii11111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii11111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii
χ172222-20000-222-2-2002i−2i00002i−2i000000002222-20000-222-2-2002i−2i00002i−2i000000002222-20000-222-2-2002i−2i00002i−2i000000002222-20000-222-2-2002i−2i00002i−2i00000000
χ182222-20000-222-2-200−2i2i0000−2i2i000000002222-20000-222-2-200−2i2i0000−2i2i000000002222-20000-222-2-200−2i2i0000−2i2i000000002222-20000-222-2-200−2i2i0000−2i2i00000000
χ192222-20000-2-2-222002i−2i0000−2i2i000000002222-20000-2-2-222002i−2i0000−2i2i000000002222-20000-2-2-222002i−2i0000−2i2i000000002222-20000-2-2-222002i−2i0000−2i2i00000000
χ202222-20000-2-2-22200−2i2i00002i−2i000000002222-20000-2-2-22200−2i2i00002i−2i000000002222-20000-2-2-22200−2i2i00002i−2i000000002222-20000-2-2-22200−2i2i00002i−2i00000000
χ2122-2-220000-22i−2i2i−2i2-2002i−2i00000000000022-2-220000-22i−2i2i−2i2-2002i−2i00000000000022-2-220000-22i−2i2i−2i2-2002i−2i00000000000022-2-220000-22i−2i2i−2i2-2002i−2i000000000000
χ2222-2-220000-22i−2i2i−2i-2200−2i2i00000000000022-2-220000-22i−2i2i−2i-2200−2i2i00000000000022-2-220000-22i−2i2i−2i-2200−2i2i00000000000022-2-220000-22i−2i2i−2i-2200−2i2i000000000000
χ2322-2-220000-2−2i2i−2i2i2-200−2i2i00000000000022-2-220000-2−2i2i−2i2i2-200−2i2i00000000000022-2-220000-2−2i2i−2i2i2-200−2i2i00000000000022-2-220000-2−2i2i−2i2i2-200−2i2i000000000000
χ2422-2-220000-2−2i2i−2i2i-22002i−2i00000000000022-2-220000-2−2i2i−2i2i-22002i−2i00000000000022-2-220000-2−2i2i−2i2i-22002i−2i00000000000022-2-220000-2−2i2i−2i2i-22002i−2i000000000000
χ2522-2-2-22i2i−2i−2i22i−2i−2i2i0000002-2000000000022-2-2-22i2i−2i−2i22i−2i−2i2i0000002-2000000000022-2-2-22i2i−2i−2i22i−2i−2i2i0000002-2000000000022-2-2-22i2i−2i−2i22i−2i−2i2i0000002-20000000000
χ2622-2-2-22i2i−2i−2i2−2i2i2i−2i000000-22000000000022-2-2-22i2i−2i−2i2−2i2i2i−2i000000-22000000000022-2-2-22i2i−2i−2i2−2i2i2i−2i000000-22000000000022-2-2-22i2i−2i−2i2−2i2i2i−2i000000-220000000000
χ2722-2-2-2−2i−2i2i2i22i−2i−2i2i000000-22000000000022-2-2-2−2i−2i2i2i22i−2i−2i2i000000-22000000000022-2-2-2−2i−2i2i2i22i−2i−2i2i000000-22000000000022-2-2-2−2i−2i2i2i22i−2i−2i2i000000-220000000000
χ2822-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-2000000000022-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-2000000000022-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-2000000000022-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-20000000000
χ294-44i−4i02+2i−2−2i2−2i−2+2i000000000000000000000004-44i−4i02+2i−2−2i2−2i−2+2i000000000000000000000004-44i−4i02+2i−2−2i2−2i−2+2i000000000000000000000004-44i−4i02+2i−2−2i2−2i−2+2i00000000000000000000000
χ304-44i−4i0−2−2i2+2i−2+2i2−2i000000000000000000000004-44i−4i0−2−2i2+2i−2+2i2−2i000000000000000000000004-44i−4i0−2−2i2+2i−2+2i2−2i000000000000000000000004-44i−4i0−2−2i2+2i−2+2i2−2i00000000000000000000000
χ314-4−4i4i02−2i−2+2i2+2i−2−2i000000000000000000000004-4−4i4i02−2i−2+2i2+2i−2−2i000000000000000000000004-4−4i4i02−2i−2+2i2+2i−2−2i000000000000000000000004-4−4i4i02−2i−2+2i2+2i−2−2i00000000000000000000000
χ324-4−4i4i0−2+2i2−2i−2−2i2+2i000000000000000000000004-4−4i4i0−2+2i2−2i−2−2i2+2i000000000000000000000004-4−4i4i0−2+2i2−2i−2−2i2+2i000000000000000000000004-4−4i4i0−2+2i2−2i−2−2i2+2i00000000000000000000000
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
χ3511111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111
χ3611111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ371111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−iii−i−iii
χ381111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111ii−i−iii−i−i
χ391111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iiiii−i−i
χ401111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i−i−iii
χ4111111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-111111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-111111-1-1-1-11111111-1-111-1-1-1-11-11-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-11-11-11-11
χ4211111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-1111111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-1111111-1-1-1-11111111-1-111-1-1-1-1-11-11-11-11-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111-11-11-11-1
χ4311111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-1111111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-1111111-1-1-1-111111-1-111-1-1-1-1111-11-1-11-11-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-11-111-11-1
χ4411111-1-1-1-111111-1-111-1-1-1-111-11-111-11-111111-1-1-1-111111-1-111-1-1-1-111-11-111-11-111111-1-1-1-111111-1-111-1-1-1-111-11-111-11-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-11-11-1-11-11
χ4511111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii11111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii11111-1-1-1-11-1-1-1-111-1-1-1-11111i−i−iii−i−ii-1-1-1-1-11111-11111-1-11111-1-1-1-1−iii−i−iii−i
χ4611111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i11111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i11111-1-1-1-11-1-1-1-111-1-1-1-11111−iii−i−iii−i-1-1-1-1-11111-11111-1-11111-1-1-1-1i−i−iii−i−ii
χ4711111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i11111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i11111-1-1-1-11-1-1-1-1-1-1111111-1-1i−i−ii−iii−i-1-1-1-1-11111-1111111-1-1-1-1-1-111−iii−ii−i−ii
χ4811111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii11111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii11111-1-1-1-11-1-1-1-1-1-1111111-1-1−iii−ii−i−ii-1-1-1-1-11111-1111111-1-1-1-1-1-111i−i−ii−iii−i
χ492222-20000-222-2-2002i−2i00002i−2i000000002222-20000-222-2-2002i−2i00002i−2i000000002222-20000-222-2-2002i−2i00002i−2i00000000-2-2-2-2200002-2-22200−2i2i0000−2i2i00000000
χ502222-20000-222-2-200−2i2i0000−2i2i000000002222-20000-222-2-200−2i2i0000−2i2i000000002222-20000-222-2-200−2i2i0000−2i2i00000000-2-2-2-2200002-2-222002i−2i00002i−2i00000000
χ512222-20000-2-2-222002i−2i0000−2i2i000000002222-20000-2-2-222002i−2i0000−2i2i000000002222-20000-2-2-222002i−2i0000−2i2i00000000-2-2-2-220000222-2-200−2i2i00002i−2i00000000
χ522222-20000-2-2-22200−2i2i00002i−2i000000002222-20000-2-2-22200−2i2i00002i−2i000000002222-20000-2-2-22200−2i2i00002i−2i00000000-2-2-2-220000222-2-2002i−2i0000−2i2i00000000
χ5322-2-220000-22i−2i2i−2i2-2002i−2i00000000000022-2-220000-22i−2i2i−2i2-2002i−2i00000000000022-2-220000-22i−2i2i−2i2-2002i−2i000000000000-2-222-200002−2i2i−2i2i-2200−2i2i000000000000
χ5422-2-220000-22i−2i2i−2i-2200−2i2i00000000000022-2-220000-22i−2i2i−2i-2200−2i2i00000000000022-2-220000-22i−2i2i−2i-2200−2i2i000000000000-2-222-200002−2i2i−2i2i2-2002i−2i000000000000
χ5522-2-220000-2−2i2i−2i2i2-200−2i2i00000000000022-2-220000-2−2i2i−2i2i2-200−2i2i00000000000022-2-220000-2−2i2i−2i2i2-200−2i2i000000000000-2-222-2000022i−2i2i−2i-22002i−2i000000000000
χ5622-2-220000-2−2i2i−2i2i-22002i−2i00000000000022-2-220000-2−2i2i−2i2i-22002i−2i00000000000022-2-220000-2−2i2i−2i2i-22002i−2i000000000000-2-222-2000022i−2i2i−2i2-200−2i2i000000000000
χ5722-2-2-22i2i−2i−2i22i−2i−2i2i0000002-2000000000022-2-2-22i2i−2i−2i22i−2i−2i2i0000002-2000000000022-2-2-22i2i−2i−2i22i−2i−2i2i0000002-20000000000-2-2222−2i−2i2i2i-2−2i2i2i−2i000000-220000000000
χ5822-2-2-22i2i−2i−2i2−2i2i2i−2i000000-22000000000022-2-2-22i2i−2i−2i2−2i2i2i−2i000000-22000000000022-2-2-22i2i−2i−2i2−2i2i2i−2i000000-220000000000-2-2222−2i−2i2i2i-22i−2i−2i2i0000002-20000000000
χ5922-2-2-2−2i−2i2i2i22i−2i−2i2i000000-22000000000022-2-2-2−2i−2i2i2i22i−2i−2i2i000000-22000000000022-2-2-2−2i−2i2i2i22i−2i−2i2i000000-220000000000-2-22222i2i−2i−2i-2−2i2i2i−2i0000002-20000000000
χ6022-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-2000000000022-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-2000000000022-2-2-2−2i−2i2i2i2−2i2i2i−2i0000002-20000000000-2-22222i2i−2i−2i-22i−2i−2i2i000000-220000000000
χ614-44i−4i02+2i−2−2i2−2i−2+2i000000000000000000000004-44i−4i02+2i−2−2i2−2i−2+2i000000000000000000000004-44i−4i02+2i−2−2i2−2i−2+2i00000000000000000000000-44−4i4i0−2−2i2+2i−2+2i2−2i00000000000000000000000
χ624-44i−4i0−2−2i2+2i−2+2i2−2i000000000000000000000004-44i−4i0−2−2i2+2i−2+2i2−2i000000000000000000000004-44i−4i0−2−2i2+2i−2+2i2−2i00000000000000000000000-44−4i4i02+2i−2−2i2−2i−2+2i00000000000000000000000
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χ10022222222222222-2-2-2-2-2-222-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000000000000000000000
χ1012222222222-2-2-2-22222-2-2-2-2-2-22i2i−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+52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+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+52−1+52−1+521−521−521−521−521−521−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000000000000
χ1022222222222-2-2-2-22222-2-2-2-2-2-2−2i−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+52−1−52−1−52−1−52−1−521+521+521+521+521+521+52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−1+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+52−1+52−1+521−521−521−521−521−521−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000000000000000000000000000
χ1032222222222-2-2-2-2-2-2-2-222-2-2222i2i−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+52−1−52−1−521+521+52−1−52−1−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−1+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+521−521−52−1+52−1+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000000000000000000000000000
χ1042222222222-2-2-2-2-2-2-2-222-2-222−2i−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+52−1−52−1−521+521+52−1−52−1−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+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+521−521−52−1+52−1+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000000000000
χ10522222-2-2-2-22222222-2-222-2-2-2-22-22-22-22-2−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−521+52−1−521+52−1−521+52−1−521+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+52−1+521−521−52−1+52−1+521−521−521−521−52−1+521−52−1+521−52−1+521−52−1+521−5200000000000000000000000000000000
χ10622222-2-2-2-22222222-2-222-2-2-2-2-22-22-22-22−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+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+52−1+521−521−52−1+52−1+521−521−521−521−521−52−1+521−52−1+521−52−1+521−52−1+5200000000000000000000000000000000
χ10722222-2-2-2-222222-2-222-2-2-2-2222-22-2-22-22−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+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+521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+5200000000000000000000000000000000
χ10822222-2-2-2-222222-2-222-2-2-2-222-22-222-22-2−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+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+521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+521−52−1+52−1+521−52−1+521−5200000000000000000000000000000000
χ10922222-2-2-2-22-2-2-2-222-2-2-2-222222i−2i−2i2i2i−2i−2i2i−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000
χ11022222-2-2-2-22-2-2-2-222-2-2-2-22222−2i2i2i−2i−2i2i2i−2i−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000
χ11122222-2-2-2-22-2-2-2-2-2-2222222-2-22i−2i−2i2i−2i2i2i−2i−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000
χ11222222-2-2-2-22-2-2-2-2-2-2222222-2-2−2i2i2i−2i2i−2i−2i2i−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000
χ1134444-40000-444-4-4004i−4i00004i−4i00000000−1−5−1−5−1−5−1−51+500001+5−1−5−1−51+51+500−2ζ3−2ζ72ζ3+2ζ70000−2ζ3−2ζ72ζ3+2ζ700000000−1+5−1+5−1+5−1+51−500001−5−1+5−1+51−51−500−2ζ11−2ζ192ζ11+2ζ190000−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000
χ1144444-40000-444-4-400−4i4i0000−4i4i00000000−1−5−1−5−1−5−1−51+500001+5−1−5−1−51+51+5002ζ3+2ζ7−2ζ3−2ζ700002ζ3+2ζ7−2ζ3−2ζ700000000−1+5−1+5−1+5−1+51−500001−5−1+5−1+51−51−5002ζ11+2ζ19−2ζ11−2ζ1900002ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000
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χ1164444-40000-4-4-44400−4i4i00004i−4i00000000−1−5−1−5−1−5−1−51+500001+51+51+5−1−5−1−5002ζ3+2ζ7−2ζ3−2ζ70000−2ζ3−2ζ72ζ3+2ζ700000000−1+5−1+5−1+5−1+51−500001−51−51−5−1+5−1+5002ζ11+2ζ19−2ζ11−2ζ190000−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000
χ11744-4-440000-44i−4i4i−4i4-4004i−4i000000000000−1−5−1−51+51+5−1−500001+5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−1−51+500−2ζ3−2ζ72ζ3+2ζ7000000000000−1+5−1+51−51−5−1+500001−5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−1+51−500−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000
χ11844-4-440000-44i−4i4i−4i-4400−4i4i000000000000−1−5−1−51+51+5−1−500001+5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ71+5−1−5002ζ3+2ζ7−2ζ3−2ζ7000000000000−1+5−1+51−51−5−1+500001−5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ191−5−1+5002ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000
χ11944-4-440000-4−4i4i−4i4i4-400−4i4i000000000000−1−5−1−51+51+5−1−500001+52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−1−51+5002ζ3+2ζ7−2ζ3−2ζ7000000000000−1+5−1+51−51−5−1+500001−52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−1+51−5002ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000
χ12044-4-440000-4−4i4i−4i4i-44004i−4i000000000000−1−5−1−51+51+5−1−500001+52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ71+5−1−500−2ζ3−2ζ72ζ3+2ζ7000000000000−1+5−1+51−51−5−1+500001−52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ191−5−1+500−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000
χ12144-4-4-44i4i−4i−4i44i−4i−4i4i0000004-40000000000−1−5−1−51+51+51+5−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−1−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7000000−1−51+50000000000−1+5−1+51−51−51−5−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−1+5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19000000−1+51−5000000000000000000000000000000000000000000
χ12244-4-4-44i4i−4i−4i4−4i4i4i−4i000000-440000000000−1−5−1−51+51+51+5−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−1−52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000001+5−1−50000000000−1+5−1+51−51−51−5−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−1+52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000001−5−1+5000000000000000000000000000000000000000000
χ12344-4-4-4−4i−4i4i4i44i−4i−4i4i000000-440000000000−1−5−1−51+51+51+52ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ7−1−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000001+5−1−50000000000−1+5−1+51−51−51−52ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ19−1+5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ190000001−5−1+5000000000000000000000000000000000000000000
χ12444-4-4-4−4i−4i4i4i4−4i4i4i−4i0000004-40000000000−1−5−1−51+51+51+52ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ7−1−52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7000000−1−51+50000000000−1+5−1+51−51−51−52ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ19−1+52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19000000−1+51−5000000000000000000000000000000000000000000
χ1258-88i−8i04+4i−4−4i4−4i−4+4i00000000000000000000000−2−252+25−4ζ3−4ζ74ζ3+4ζ70−2ζ2−2ζ3−2ζ7−2ζ182ζ2+2ζ3+2ζ7+2ζ18−2ζ2+2ζ3+2ζ7−2ζ182ζ2−2ζ3−2ζ7+2ζ1800000000000000000000000−2+252−25−4ζ11−4ζ194ζ11+4ζ190−2ζ6−2ζ11−2ζ14−2ζ192ζ6+2ζ11+2ζ14+2ζ19−2ζ6+2ζ11−2ζ14+2ζ192ζ6−2ζ11+2ζ14−2ζ190000000000000000000000000000000000000000000000000000000
χ1268-88i−8i0−4−4i4+4i−4+4i4−4i00000000000000000000000−2−252+25−4ζ3−4ζ74ζ3+4ζ702ζ2+2ζ3+2ζ7+2ζ18−2ζ2−2ζ3−2ζ7−2ζ182ζ2−2ζ3−2ζ7+2ζ18−2ζ2+2ζ3+2ζ7−2ζ1800000000000000000000000−2+252−25−4ζ11−4ζ194ζ11+4ζ1902ζ6+2ζ11+2ζ14+2ζ19−2ζ6−2ζ11−2ζ14−2ζ192ζ6−2ζ11+2ζ14−2ζ19−2ζ6+2ζ11−2ζ14+2ζ190000000000000000000000000000000000000000000000000000000
χ1278-8−8i8i04−4i−4+4i4+4i−4−4i00000000000000000000000−2−252+254ζ3+4ζ7−4ζ3−4ζ70−2ζ2+2ζ3+2ζ7−2ζ182ζ2−2ζ3−2ζ7+2ζ18−2ζ2−2ζ3−2ζ7−2ζ182ζ2+2ζ3+2ζ7+2ζ1800000000000000000000000−2+252−254ζ11+4ζ19−4ζ11−4ζ190−2ζ6+2ζ11−2ζ14+2ζ192ζ6−2ζ11+2ζ14−2ζ19−2ζ6−2ζ11−2ζ14−2ζ192ζ6+2ζ11+2ζ14+2ζ190000000000000000000000000000000000000000000000000000000
χ1288-8−8i8i0−4+4i4−4i−4−4i4+4i00000000000000000000000−2−252+254ζ3+4ζ7−4ζ3−4ζ702ζ2−2ζ3−2ζ7+2ζ18−2ζ2+2ζ3+2ζ7−2ζ182ζ2+2ζ3+2ζ7+2ζ18−2ζ2−2ζ3−2ζ7−2ζ1800000000000000000000000−2+252−254ζ11+4ζ19−4ζ11−4ζ1902ζ6−2ζ11+2ζ14−2ζ19−2ζ6+2ζ11−2ζ14+2ζ192ζ6+2ζ11+2ζ14+2ζ19−2ζ6−2ζ11−2ζ14−2ζ190000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.