Finite Group Databasebeta

← Group #499231

Character table — Group #499231

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order1222222244444444444444448888888888888888224444448888888816161616161616161616161616161616161616161616161616161616161616162222444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-111
χ911111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
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
χ192222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-222000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000
χ212222222222222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−222220000000000000000
χ222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−20000000000000000
χ2322222222-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2422222222-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000022-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222220000000000000000
χ2622222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000022-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−20000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000-2-222-2-222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−20000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000-2-222-2-22200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−222220000000000000000
χ29222-2-2-2-222222-2-2-2-2000000002222−2−2−2−22222−2−2−2−2002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ30222-2-2-2-222222-2-2-2-2000000002222−2−2−2−22222−2−2−2−2002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ31222-2-2-2-222222-2-2-2-2000000002222−2−2−2−22222−2−2−2−200−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ32222-2-2-2-222222-2-2-2-2000000002222−2−2−2−22222−2−2−2−200−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ33222-2-2-2-222222-2-2-2-200000000−2−2−2−22222−2−2−2−22222002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ34222-2-2-2-222222-2-2-2-200000000−2−2−2−22222−2−2−2−22222002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ35222-2-2-2-222222-2-2-2-200000000−2−2−2−22222−2−2−2−2222200−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ36222-2-2-2-222222-2-2-2-200000000−2−2−2−22222−2−2−2−2222200−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ37222-2-2-2-22-2-2-2-22222000000002222−2−2−2−2−2−2−2−22222002i−2i−2i2i00−i2−i2i2i2i2i2−i2−i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ38222-2-2-2-22-2-2-2-22222000000002222−2−2−2−2−2−2−2−22222002i−2i−2i2i00−i2−i2i2i2i2i2−i2−i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ39222-2-2-2-22-2-2-2-22222000000002222−2−2−2−2−2−2−2−2222200−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ40222-2-2-2-22-2-2-2-22222000000002222−2−2−2−2−2−2−2−2222200−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ41222-2-2-2-22-2-2-2-2222200000000−2−2−2−222222222−2−2−2−2002i−2i−2i2i00i2i2−i2−i2−i2−i2i2i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ42222-2-2-2-22-2-2-2-2222200000000−2−2−2−222222222−2−2−2−2002i−2i−2i2i00i2i2−i2−i2−i2−i2i2i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ43222-2-2-2-22-2-2-2-2222200000000−2−2−2−222222222−2−2−2−200−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ44222-2-2-2-22-2-2-2-2222200000000−2−2−2−222222222−2−2−2−200−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ4522-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i222−2−222−2−22-200002i−2i2−22−2i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000000000000000
χ4622-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i222−2−222−2−22-200002i−2i2−22−2i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000000000000000
χ4722-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-220000−2i2i−22−22−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000000000000000
χ4822-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-220000−2i2i−22−22−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000000000000000
χ4922-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2222-200002i−2i−22−22−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000000000000000
χ5022-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2222-200002i−2i−22−22−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000000000000000
χ5122-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222-220000−2i2i2−22−2i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000000000000000
χ5222-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222-220000−2i2i2−22−2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000000000000000
χ5322-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2222-20000−2i2i−22−22i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000000000000000
χ5422-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2222-20000−2i2i−22−22i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000000000000000
χ5522-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222-2200002i−2i2−22−2−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ50000000000000000
χ5622-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222-2200002i−2i2−22−2−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ50000000000000000
χ5722-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i222−2−222−2−22-20000−2i2i2−22−2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000000000000000
χ5822-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i222−2−222−2−22-20000−2i2i2−22−2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000000000000000
χ5922-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2-2200002i−2i−22−22i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ70000000000000000
χ6022-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2-2200002i−2i−22−22i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ70000000000000000
χ6122-2-22-22-22i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i2-20000000000000000000000002i−2i−2i2i-222-22−2−22−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000000000
χ6222-2-22-22-22i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i2-20000000000000000000000002i−2i−2i2i-222-2−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000000000
χ6322-2-22-22-22i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i2-2000000000000000000000000−2i2i2i−2i2-2-222−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000000000
χ6422-2-22-22-22i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i2-2000000000000000000000000−2i2i2i−2i2-2-22−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000000000
χ6522-2-22-22-22i2i−2i−2i−2i−2i2i2i-22−2i−2i2i2i-222i2i−2i−2i−2i−2i2i2i22-2-2-2-22200000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ6622-2-22-22-22i2i−2i−2i−2i−2i2i2i-22−2i−2i2i2i-222i2i−2i−2i−2i−2i2i2i22-2-2-2-2220000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ6722-2-22-22-22i2i−2i−2i−2i−2i2i2i-22−2i−2i2i2i-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-220000000000000000
χ6822-2-22-22-22i2i−2i−2i−2i−2i2i2i-22−2i−2i2i2i-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-20000000000000000
χ6922-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2-20000000000000000000000002i−2i−2i2i2-2-222−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000
χ7022-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2-20000000000000000000000002i−2i−2i2i2-2-22−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000
χ7122-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2-2000000000000000000000000−2i2i2i−2i-222-22−2−22−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000
χ7222-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2-2000000000000000000000000−2i2i2i−2i-222-2−222−22−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000
χ7322-2-22-22-2−2i−2i2i2i2i2i−2i−2i-222i2i−2i−2i-222i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-20000000000000000
χ7422-2-22-22-2−2i−2i2i2i2i2i−2i−2i-222i2i−2i−2i-222i2i−2i−2i−2i−2i2i2i-2-22222-2-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-220000000000000000
χ7522-2-22-22-2−2i−2i2i2i2i2i−2i−2i-222i2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-22200000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ7622-2-22-22-2−2i−2i2i2i2i2i−2i−2i-222i2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-2220000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ772-222-2-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i-222i−2i2i−2i2i−2i2i−2i2-22-22-22-20000000000000000000000000000000000000000000000002-200000000002i−2i00
χ782-222-2-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i-222i−2i2i−2i2i−2i2i−2i2-22-22-22-2000000000000000000000000000000000000000000000000-220000000000−2i2i00
χ792-222-2-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i-22−2i2i−2i2i−2i2i−2i2i-22-22-22-2200000000000000000000000000000000000000000000000000002-22i−2i00000000
χ802-222-2-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i-22−2i2i−2i2i−2i2i−2i2i-22-22-22-220000000000000000000000000000000000000000000000000000-22−2i2i00000000
χ812-222-2-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i-222i−2i2i−2i2i−2i2i−2i-22-22-22-2200000000000000000000000000000000000000000000000000002-2−2i2i00000000
χ822-222-2-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i-222i−2i2i−2i2i−2i2i−2i-22-22-22-220000000000000000000000000000000000000000000000000000-222i−2i00000000
χ832-222-2-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i-22−2i2i−2i2i−2i2i−2i2i2-22-22-22-20000000000000000000000000000000000000000000000002-20000000000−2i2i00
χ842-222-2-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i-22−2i2i−2i2i−2i2i−2i2i2-22-22-22-2000000000000000000000000000000000000000000000000-2200000000002i−2i00
χ852-2-2-2-22222-2-22-222-2-2-2-222-2222-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000002-200000000002-2
χ862-2-2-2-22222-2-22-222-2-2-2-222-2222-2-22-222-22-2-22-222-200000000000000000000000000000000000000000000000000-220000000000-22
χ872-2-2-2-22222-2-22-222-2-2-2-222-222-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000000000002-22-20000
χ882-2-2-2-22222-2-22-222-2-2-2-222-222-222-22-2-22-222-22-2-2200000000000000000000000000000000000000000000000000000000-22-220000
χ892-2-2-2-2222-222-22-2-22-2-22-2-22222-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000000000002-2-220000
χ902-2-2-2-2222-222-22-2-22-2-22-2-22222-2-22-222-2-222-22-2-2200000000000000000000000000000000000000000000000000000000-222-20000
χ912-2-2-2-2222-222-22-2-22-2-22-2-2222-222-22-2-222-2-22-222-2000000000000000000000000000000000000000000000000002-20000000000-22
χ922-2-2-2-2222-222-22-2-22-2-22-2-2222-222-22-2-222-2-22-222-200000000000000000000000000000000000000000000000000-2200000000002-2
χ934-444-4-44-44i−4i4i−4i4i−4i4i−4i-44−4i4i−4i4i4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-44-4−4i4i−4i4i−4i4i−4i4i-444i−4i4i−4i4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-444-4-44i−4i4i−4i−4i4i−4i4i000000002i2−2i22i2−2i2−2i22i2−2i22i222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ964-44-444-4-44i−4i4i−4i−4i4i−4i4i00000000−2i22i2−2i22i22i2−2i22i2−2i2−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ974-44-444-4-4−4i4i−4i4i4i−4i4i−4i000000002i2−2i22i2−2i2−2i22i2−2i22i2−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ984-44-444-4-4−4i4i−4i4i4i−4i4i−4i00000000−2i22i2−2i22i22i2−2i22i2−2i222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-444-4-444-4-440000000022−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-444-4-444-4-4400000000−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-444-4-444-40000000022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-4-44-444-4-444-400000000−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-44444-4-44-444-4444-4-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444-444-44-4-4444-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000

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