Finite Group Databasebeta

← Group #148982

Character table — Group #148982

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order1222222244444444222244448888888888888888444444448888888816161616161616161616161616161616161616161616161616161616161616168888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ18222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-222-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000
χ212222222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−222220000000000000000
χ222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−20000000000000000
χ2322222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-222000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222220000000000000000
χ2422222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-22200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−20000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-22222-2-2000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−20000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-22222-2-200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−222220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ29222-2-22-2-22222-2-2-2-222-2-22-22-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-22-200000000
χ30222-2-22-2-22222-2-2-2-222-2-22-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-22-2200000000
χ31222-2-22-2-22222-2-2-2-222-2-22-22-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000002i−2i2i−2i000000000000
χ32222-2-22-2-22222-2-2-2-222-2-22-22-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000
χ33222-2-22-2-2-2-2-2-22222-2-2222-22-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ34222-2-22-2-2-2-2-2-22222-2-2222-22-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ35222-2-22-2-2-2-2-2-22222-2-2222-22-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000002-2-22000000000000
χ36222-2-22-2-2-2-2-2-22222-2-2222-22-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000-222-2000000000000
χ3722-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−2002i−2i002-2i2i2−i2−i222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ3822-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−2002i−2i002-2i2i2−i2−i222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ3922-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−200−2i2i00-22−i2−i2i2i2−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ4022-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−200−2i2i00-22−i2−i2i2i2−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ4122-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000−2−222−i2−i2i2i2−i2−i2i2i2−2−222002i−2i002-2−i2−i2i2i2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ4222-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000−2−222−i2−i2i2i2−i2−i2i2i2−2−222002i−2i002-2−i2−i2i2i2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ4322-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000−2−222−i2−i2i2i2−i2−i2i2i2−2−22200−2i2i00-22i2i2−i2−i222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ4422-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000−2−222−i2−i2i2i2−i2−i2i2i2−2−22200−2i2i00-22i2i2−i2−i222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ4522-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−2002i−2i00-22i2i2−i2−i2−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ4622-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−2002i−2i00-22i2i2−i2−i2−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ4722-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−200−2i2i002-2−i2−i2i2i222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ4822-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−200−2i2i002-2−i2−i2i2i222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ4922-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000−2−222i2i2−i2−i2i2i2−i2−i2−2−222002i−2i00-22−i2−i2i2i222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ5022-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000−2−222i2i2−i2−i2i2i2−i2−i2−2−222002i−2i00-22−i2−i2i2i222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ5122-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000−2−222i2i2−i2−i2i2i2−i2−i2−2−22200−2i2i002-2i2i2−i2−i2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ5222-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000−2−222i2i2−i2−i2i2i2−i2−i2−2−22200−2i2i002-2i2i2−i2−i2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ532-222-2-2-222i−2i−2i2i−2i2i2i−2i000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−22i−2i002-200i2−i2i2−i22−22−2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ50000000000000000
χ542-222-2-2-222i−2i−2i2i−2i2i2i−2i000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−22i−2i002-200i2−i2i2−i22−22−2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ50000000000000000
χ552-222-2-2-222i−2i−2i2i−2i2i2i−2i000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−2−2i2i00-2200−i2i2−i2i2−22−22ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ50000000000000000
χ562-222-2-2-222i−2i−2i2i−2i2i2i−2i000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−2−2i2i00-2200−i2i2−i2i2−22−22−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ50000000000000000
χ572-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000−22−22−i2i2−i2i2−i2i2−i2i2−22−222i−2i002-200−i2i2−i2i2−22−22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ70000000000000000
χ582-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000−22−22−i2i2−i2i2−i2i2−i2i2−22−222i−2i002-200−i2i2−i2i2−22−22−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ70000000000000000
χ592-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000−22−22−i2i2−i2i2−i2i2−i2i2−22−22−2i2i00-2200i2−i2i2−i22−22−2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ70000000000000000
χ602-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000−22−22−i2i2−i2i2−i2i2−i2i2−22−22−2i2i00-2200i2−i2i2−i22−22−2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ70000000000000000
χ612-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−22i−2i00-2200i2−i2i2−i2−22−22ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ50000000000000000
χ622-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−22i−2i00-2200i2−i2i2−i2−22−22−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ50000000000000000
χ632-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−2−2i2i002-200−i2i2−i2i22−22−2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ50000000000000000
χ642-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−2−2i2i002-200−i2i2−i2i22−22−2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ50000000000000000
χ652-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000−22−22i2−i2i2−i2i2−i2i2−i2−22−222i−2i00-2200−i2i2−i2i22−22−2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ70000000000000000
χ662-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000−22−22i2−i2i2−i2i2−i2i2−i2−22−222i−2i00-2200−i2i2−i2i22−22−2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ70000000000000000
χ672-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000−22−22i2−i2i2−i2i2−i2i2−i2−22−22−2i2i002-200i2−i2i2−i2−22−22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ70000000000000000
χ682-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000−22−22i2−i2i2−i2i2−i2i2−i2−22−22−2i2i002-200i2−i2i2−i2−22−22−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ70000000000000000
χ692-2-2222-2-222-2-2-2-2222-22-22-2-220000000000000000000000002-2-222-2-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ702-2-2222-2-222-2-2-2-2222-22-22-2-220000000000000000000000002-2-222-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ712-2-2222-2-222-2-2-2-2222-22-22-2-22000000000000000000000000-222-2-222-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ722-2-2222-2-222-2-2-2-2222-22-22-2-22000000000000000000000000-222-2-222-2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ732-2-2222-2-222-2-2-2-222-22-22-222-22-2-222-2-222-2-222-2-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000
χ742-2-2222-2-222-2-2-2-222-22-22-222-22-2-222-2-222-2-222-2-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000
χ752-2-2222-2-222-2-2-2-222-22-22-222-2-222-2-222-2-222-2-222-200000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ762-2-2222-2-222-2-2-2-222-22-22-222-2-222-2-222-2-222-2-222-20000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ772-2-2222-2-2-2-22222-2-22-22-2-222-22-2-22-222-2-222-22-2-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000
χ782-2-2222-2-2-2-22222-2-22-22-2-222-22-2-22-222-2-222-22-2-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000
χ792-2-2222-2-2-2-22222-2-22-22-2-222-2-222-22-2-222-2-22-222-200000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ802-2-2222-2-2-2-22222-2-22-22-2-222-2-222-22-2-222-2-22-222-20000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ812-2-2222-2-2-2-22222-2-2-22-222-2-220000000000000000000000002-2-22-222-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ822-2-2222-2-2-2-22222-2-2-22-222-2-220000000000000000000000002-2-22-222-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ832-2-2222-2-2-2-22222-2-2-22-222-2-22000000000000000000000000-222-22-2-22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ842-2-2222-2-2-2-22222-2-2-22-222-2-22000000000000000000000000-222-22-2-22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ852-2-2-2-222222-2-222-2-2-222-2-2-2222-2-222-2-22-222-2-222-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ862-2-2-2-222222-2-222-2-2-222-2-2-2222-2-222-2-22-222-2-222-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ872-2-2-2-222222-2-222-2-2-222-2-2-222-222-2-222-22-2-222-2-220000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ882-2-2-2-222222-2-222-2-2-222-2-2-222-222-2-222-22-2-222-2-22000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ892-2-2-2-2222-2-222-2-2222-2-22-2-2222-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000000000002-2-220000
χ902-2-2-2-2222-2-222-2-2222-2-22-2-2222-2-22-222-22-2-22-222-200000000000000000000000000000000000000000000000000000000-222-20000
χ912-2-2-2-2222-2-222-2-2222-2-22-2-222-222-22-2-22-222-22-2-220000000000000000000000000000000000000000000000000000000000002-2-22
χ922-2-2-2-2222-2-222-2-2222-2-22-2-222-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000000000000000-222-2
χ93444-4-44-4-44444-4-4-4-4-4-444-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ94444-4-44-4-4-4-4-4-4444444-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-444i−4i4i−4i−4i4i−4i4i000000002222−22−222i22i2−2i2−2i2−2i2−2i22i22i2−22−2222220000000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-444i−4i4i−4i−4i4i−4i4i00000000−22−222222−2i2−2i22i22i22i22i2−2i2−2i22222−22−220000000000000000000000000000000000000000000000000000000000000000
χ9744-4-44-4-44−4i4i−4i4i4i−4i4i−4i000000002222−22−22−2i2−2i22i22i22i22i2−2i2−2i2−22−2222220000000000000000000000000000000000000000000000000000000000000000
χ9844-4-44-4-44−4i4i−4i4i4i−4i4i−4i00000000−22−2222222i22i2−2i2−2i2−2i2−2i22i22i22222−22−220000000000000000000000000000000000000000000000000000000000000000
χ994-44-44-44-44i−4i−4i4i4i−4i−4i4i0000000022−2222−222i2−2i22i2−2i2−2i22i2−2i22i2−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-44i−4i−4i4i4i−4i−4i4i00000000−2222−2222−2i22i2−2i22i22i2−2i22i2−2i222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ1014-44-44-44-4−4i4i4i−4i−4i4i4i−4i0000000022−2222−22−2i22i2−2i22i22i2−2i22i2−2i2−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ1024-44-44-44-4−4i4i4i−4i−4i4i4i−4i00000000−2222−22222i2−2i22i2−2i2−2i22i2−2i22i222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-444444-4-444-4-44-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444-4-444-4-444-444-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.