Finite Group Databasebeta

← Group #12106166

Character table — Group #12106166

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1122222444448888112222244444888822444448888816161616224444488888161616162244444888881616161622444448888816161616551010101010202020202040404040551010101010202020202040404040
order1224488248882488222448824888248851010202040401020404040102040405101020204040102040404010204040101010202040401020404040102040401010102020404010204040401020404044444884488844884444488448884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ31111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-1
χ41111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-111
χ511111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-1
χ611111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-11
χ711111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-11
χ811111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-1
χ9222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000
χ10222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000
χ1122-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-20000000
χ1222-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-220000000
χ1322-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-2000000
χ1422-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-2002000000
χ154-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i2000000000
χ164-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i2000000000
χ17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ191111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-111-1-111
χ201111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-111-11111-1-1
χ2111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-1-1-1-1-1-111-1-1111-11-11-1-1-1-1-111-1-1111-11-11
χ2211111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-11-1-1-1-1-111-1-11111-11-1-1-1-1-1-111-1-11111-11-1
χ2311111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-11-1-1-1-1-111111-1-1-111-1-1-1-1-1-111111-1-1-111-1
χ2411111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-1-1-1-1-1-111111-1-11-1-11-1-1-1-1-111111-1-11-1-11
χ25222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000-2-2-22200000−2i2i0000-2-2-22200000−2i2i0000
χ26222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000-2-2-222000002i−2i0000-2-2-222000002i−2i0000
χ2722-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-2000000022-22-2002-20000000-2-22-2200-220000000-2-22-2200-220000000
χ2822-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-22000000022-22-200-220000000-2-22-22002-20000000-2-22-22002-20000000
χ2922-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-200000022-2-222200-2000000-2-222-2-2-2002000000-2-222-2-2-2002000000
χ3022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-200200000022-2-22-2-2002000000-2-222-22200-2000000-2-222-22200-2000000
χ314-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i20000000004-40002i2−2i2000000000-44000−2i22i2000000000-44000−2i22i2000000000
χ324-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i20000000004-4000−2i22i2000000000-440002i2−2i2000000000-440002i2−2i2000000000
χ331111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ34111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ351111111-1-11-1-111-1-1-1-1-1-1-1-1-111-111-1-1111111111-1-11-1-111-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-111-1-111iiiiiii−i−ii−i−iii−i−i−i−i−i−i−i−i−iii−iii−i−iii
χ361111111-1-11-1-1-1-111-1-1-1-1-1-1-111-11111-1-11111111-1-11-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-111-11111-1-1iiiiiii−i−ii−i−i−i−iii−i−i−i−i−i−i−iii−iiiii−i−i
χ3711111-1-111-1-1-11-11-1-1-1-1-1-111-1-1111-11-1111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-1-1-1-1-1-111-1-1111-11-11-1-1-1-1-111-1-1111-11-11iiiii−i−iii−i−i−ii−ii−i−i−i−i−i−iii−i−iiii−ii−ii
χ3811111-1-111-1-1-1-11-11-1-1-1-1-111-1-11111-11-111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-11-1-1-1-1-111-1-11111-11-1-1-1-1-1-111-1-11111-11-1iiiii−i−iii−i−i−i−ii−ii−i−i−i−i−iii−i−iiiii−ii−i
χ3911111-1-1-1-1-1111-1-11-1-1-1-1-111111-1-1-111-111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-11-1-1-1-1-111111-1-1-111-1-1-1-1-1-111111-1-1-111-1iiiii−i−i−i−i−iiii−i−ii−i−i−i−i−iiiiii−i−i−iii−i
χ4011111-1-1-1-1-111-111-1-1-1-1-1-111111-1-11-1-1111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-1-1-1-1-1-111111-1-11-1-11-1-1-1-1-111111-1-11-1-11iiiii−i−i−i−i−iii−iii−i−i−i−i−i−iiiiii−i−ii−i−ii
χ41222-2-2000002i−2i0000-2-2-22200000−2i2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000-2-2-22200000−2i2i0000-2-2-22200000−2i2i00002i2i2i−2i−2i00000-220000−2i−2i−2i2i2i000002-20000
χ42222-2-200000−2i2i0000-2-2-222000002i−2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000-2-2-222000002i−2i0000-2-2-222000002i−2i00002i2i2i−2i−2i000002-20000−2i−2i−2i2i2i00000-220000
χ4322-22-2002-20000000-2-22-2200-22000000022-22-2002-2000000022-22-2002-20000000-2-22-2200-220000000-2-22-2200-2200000002i2i−2i2i−2i002i−2i0000000−2i−2i2i−2i2i00−2i2i0000000
χ4422-22-200-220000000-2-22-22002-2000000022-22-200-22000000022-22-200-220000000-2-22-22002-20000000-2-22-22002-200000002i2i−2i2i−2i00−2i2i0000000−2i−2i2i−2i2i002i−2i0000000
χ4522-2-222200-2000000-2-222-2-2-200200000022-2-222200-200000022-2-222200-2000000-2-222-2-2-2002000000-2-222-2-2-20020000002i2i−2i−2i2i2i2i00−2i000000−2i−2i2i2i−2i−2i−2i002i000000
χ4622-2-22-2-2002000000-2-222-22200-200000022-2-22-2-200200000022-2-22-2-2002000000-2-222-22200-2000000-2-222-22200-20000002i2i−2i−2i2i−2i−2i002i000000−2i−2i2i2i−2i2i2i00−2i000000
χ474-40002i2−2i2000000000-44000−2i22i20000000004-40002i2−2i20000000004-40002i2−2i2000000000-44000−2i22i2000000000-44000−2i22i20000000004i−4i000−2222000000000−4i4i00022−22000000000
χ484-4000−2i22i2000000000-440002i2−2i20000000004-4000−2i22i20000000004-4000−2i22i2000000000-440002i2−2i2000000000-440002i2−2i20000000004i−4i00022−22000000000−4i4i000−2222000000000
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ50111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i
χ511111111-1-11-1-111-1-1-1-1-1-1-1-1-111-111-1-1111111111-1-11-1-111-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-111-1-111−i−i−i−i−i−i−iii−iii−i−iiiiiiiiii−i−ii−i−iii−i−i
χ521111111-1-11-1-1-1-111-1-1-1-1-1-1-111-11111-1-11111111-1-11-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-111-11111-1-1−i−i−i−i−i−i−iii−iiiii−i−iiiiiiii−i−ii−i−i−i−iii
χ5311111-1-111-1-1-11-11-1-1-1-1-1-111-1-1111-11-1111111-1-111-1-1-11-11-111111-1-111-1-1-11-11-1-1-1-1-1-111-1-1111-11-11-1-1-1-1-111-1-1111-11-11−i−i−i−i−iii−i−iiii−ii−iiiiiii−i−iii−i−i−ii−ii−i
χ5411111-1-111-1-1-1-11-11-1-1-1-1-111-1-11111-11-111111-1-111-1-1-1-11-1111111-1-111-1-1-1-11-11-1-1-1-1-111-1-11111-11-1-1-1-1-1-111-1-11111-11-1−i−i−i−i−iii−i−iiiii−ii−iiiiii−i−iii−i−i−i−ii−ii
χ5511111-1-1-1-1-1111-1-11-1-1-1-1-111111-1-1-111-111111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-11-1-1-1-1-111111-1-1-111-1-1-1-1-1-111111-1-1-111-1−i−i−i−i−iiiiii−i−i−iii−iiiiii−i−i−i−i−iiii−i−ii
χ5611111-1-1-1-1-111-111-1-1-1-1-1-111111-1-11-1-1111111-1-1-1-1-111-111-111111-1-1-1-1-111-111-1-1-1-1-1-111111-1-11-1-11-1-1-1-1-111111-1-11-1-11−i−i−i−i−iiiiii−i−ii−i−iiiiiii−i−i−i−i−iii−iii−i
χ57222-2-2000002i−2i0000-2-2-22200000−2i2i0000222-2-2000002i−2i0000222-2-2000002i−2i0000-2-2-22200000−2i2i0000-2-2-22200000−2i2i0000−2i−2i−2i2i2i000002-200002i2i2i−2i−2i00000-220000
χ58222-2-200000−2i2i0000-2-2-222000002i−2i0000222-2-200000−2i2i0000222-2-200000−2i2i0000-2-2-222000002i−2i0000-2-2-222000002i−2i0000−2i−2i−2i2i2i00000-2200002i2i2i−2i−2i000002-20000
χ5922-22-2002-20000000-2-22-2200-22000000022-22-2002-2000000022-22-2002-20000000-2-22-2200-220000000-2-22-2200-220000000−2i−2i2i−2i2i00−2i2i00000002i2i−2i2i−2i002i−2i0000000
χ6022-22-200-220000000-2-22-22002-2000000022-22-200-22000000022-22-200-220000000-2-22-22002-20000000-2-22-22002-20000000−2i−2i2i−2i2i002i−2i00000002i2i−2i2i−2i00−2i2i0000000
χ6122-2-222200-2000000-2-222-2-2-200200000022-2-222200-200000022-2-222200-2000000-2-222-2-2-2002000000-2-222-2-2-2002000000−2i−2i2i2i−2i−2i−2i002i0000002i2i−2i−2i2i2i2i00−2i000000
χ6222-2-22-2-2002000000-2-222-22200-200000022-2-22-2-200200000022-2-22-2-2002000000-2-222-22200-2000000-2-222-22200-2000000−2i−2i2i2i−2i2i2i00−2i0000002i2i−2i−2i2i−2i−2i002i000000
χ634-40002i2−2i2000000000-44000−2i22i20000000004-40002i2−2i20000000004-40002i2−2i2000000000-44000−2i22i2000000000-44000−2i22i2000000000−4i4i00022−220000000004i−4i000−2222000000000
χ644-4000−2i22i2000000000-440002i2−2i20000000004-4000−2i22i20000000004-4000−2i22i2000000000-440002i2−2i2000000000-440002i2−2i2000000000−4i4i000−22220000000004i−4i00022−22000000000
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χ105444-4-4000004i−4i0000-4-4-44400000−4i4i0000−1+5−1+5−1+51−51−500000−2ζ22−2ζ382ζ22+2ζ380000−1−5−1−5−1−51+51+500000−2ζ6−2ζ142ζ6+2ζ1400001−51−51−5−1+5−1+5000002ζ22+2ζ38−2ζ22−2ζ3800001+51+51+5−1−5−1−5000002ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000
χ106444-4-400000−4i4i0000-4-4-444000004i−4i0000−1+5−1+5−1+51−51−5000002ζ22+2ζ38−2ζ22−2ζ380000−1−5−1−5−1−51+51+5000002ζ6+2ζ14−2ζ6−2ζ1400001−51−51−5−1+5−1+500000−2ζ22−2ζ382ζ22+2ζ3800001+51+51+5−1−5−1−500000−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000
χ10744-44-4004-40000000-4-44-4400-440000000−1+5−1+51−5−1+51−500−1+51−50000000−1−5−1−51+5−1−51+500−1−51+500000001−51−5−1+51−5−1+5001−5−1+500000001+51+5−1−51+5−1−5001+5−1−5000000000000000000000000000000000000000
χ10844-44-400-440000000-4-44-44004-40000000−1+5−1+51−5−1+51−5001−5−1+50000000−1−5−1−51+5−1−51+5001+5−1−500000001−51−5−1+51−5−1+500−1+51−500000001+51+5−1−51+5−1−500−1−51+5000000000000000000000000000000000000000
χ10944-4-444400-4000000-4-444-4-4-4004000000−1+5−1+51−51−5−1+5−1+5−1+5001−5000000−1−5−1−51+51+5−1−5−1−5−1−5001+50000001−51−5−1+5−1+51−51−51−500−1+50000001+51+5−1−5−1−51+51+51+500−1−500000000000000000000000000000000000000
χ11044-4-44-4-4004000000-4-444-44400-4000000−1+5−1+51−51−5−1+51−51−500−1+5000000−1−5−1−51+51+5−1−51+51+500−1−50000001−51−5−1+5−1+51−5−1+5−1+5001−50000001+51+5−1−5−1−51+5−1−5−1−5001+500000000000000000000000000000000000000
χ1118-80004i2−4i2000000000-88000−4i24i2000000000−2+252−250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37000000000−2−252+250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390000000002−25−2+25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370000000002+25−2−25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000
χ1128-8000−4i24i2000000000-880004i2−4i2000000000−2+252−25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37000000000−2−252+25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390000000002−25−2+250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000002+25−2−250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000
χ1132222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5200000000000000000000000000000000
χ114222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000000000000000000000
χ1152222222-2-22-2-222-2-2-2-2-2-2-2-2-222-222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521+521+521+521+521+521+521+52−1−52−1−521+52−1−52−1−521+521+52−1−52−1−521−521−521−521−521−521−521−52−1+52−1+521−52−1+52−1+521−521−52−1+52−1+5200000000000000000000000000000000
χ1162222222-2-22-2-2-2-222-2-2-2-2-2-2-222-22222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521−521−521−521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−5200000000000000000000000000000000
χ11722222-2-222-2-2-22-22-2-2-2-2-2-222-2-2222-22-22−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−521+52−1−521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+521−52−1+521−521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−521+52−1−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1+521−52−1+5200000000000000000000000000000000
χ11822222-2-222-2-2-2-22-22-2-2-2-2-222-2-22222-22-2−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−521+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+521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+52−1−521+521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−52−1+521−5200000000000000000000000000000000
χ11922222-2-2-2-2-2222-2-22-2-2-2-2-222222-2-2-222-2−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−52−1−521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+52−1+521−521−52−1+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−5200000000000000000000000000000000
χ12022222-2-2-2-2-222-222-2-2-2-2-2-222222-2-22-2-22−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−52−1+52−1+521−521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+5200000000000000000000000000000000
χ121444-4-4000004i−4i0000-4-4-44400000−4i4i0000−1−5−1−5−1−51+51+500000−2ζ6−2ζ142ζ6+2ζ140000−1+5−1+5−1+51−51−500000−2ζ22−2ζ382ζ22+2ζ3800001+51+51+5−1−5−1−5000002ζ6+2ζ14−2ζ6−2ζ1400001−51−51−5−1+5−1+5000002ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ122444-4-400000−4i4i0000-4-4-444000004i−4i0000−1−5−1−5−1−51+51+5000002ζ6+2ζ14−2ζ6−2ζ140000−1+5−1+5−1+51−51−5000002ζ22+2ζ38−2ζ22−2ζ3800001+51+51+5−1−5−1−500000−2ζ6−2ζ142ζ6+2ζ1400001−51−51−5−1+5−1+500000−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ12344-44-4004-40000000-4-44-4400-440000000−1−5−1−51+5−1−51+500−1−51+50000000−1+5−1+51−5−1+51−500−1+51−500000001+51+5−1−51+5−1−5001+5−1−500000001−51−5−1+51−5−1+5001−5−1+5000000000000000000000000000000000000000
χ12444-44-400-440000000-4-44-44004-40000000−1−5−1−51+5−1−51+5001+5−1−50000000−1+5−1+51−5−1+51−5001−5−1+500000001+51+5−1−51+5−1−500−1−51+500000001−51−5−1+51−5−1+500−1+51−5000000000000000000000000000000000000000
χ12544-4-444400-4000000-4-444-4-4-4004000000−1−5−1−51+51+5−1−5−1−5−1−5001+5000000−1+5−1+51−51−5−1+5−1+5−1+5001−50000001+51+5−1−5−1−51+51+51+500−1−50000001−51−5−1+5−1+51−51−51−500−1+500000000000000000000000000000000000000
χ12644-4-44-4-4004000000-4-444-44400-4000000−1−5−1−51+51+5−1−51+51+500−1−5000000−1+5−1+51−51−5−1+51−51−500−1+50000001+51+5−1−5−1−51+5−1−5−1−5001+50000001−51−5−1+5−1+51−5−1+5−1+5001−500000000000000000000000000000000000000
χ1278-80004i2−4i2000000000-88000−4i24i2000000000−2−252+250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39000000000−2+252−250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000002+25−2−25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390000000002−25−2+25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000
χ1288-8000−4i24i2000000000-880004i2−4i2000000000−2−252+25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39000000000−2+252−25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370000000002+25−2−250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390000000002−25−2+250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000

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