Finite Group Databasebeta

← Group #509005

Character table — Group #509005

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444443232323232323232
order1222222244444444444488888888888888884444444488888888161616161616161616161616161616161616161616161616161616161616161622244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-11-1-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1111
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-11-1-1-11
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-222000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−200000000
χ20222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2222200000000
χ21222222222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−2222200000000
χ22222222222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−200000000
χ2322222222-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222200000000
χ2422222222-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−200000000
χ2522222222-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−200000000
χ2622222222-2-2-2-22222-2-2-2-20000000000000000-2-2-2-2222200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−2222200000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-222-2-222-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-222-2-2222222-2-2-2-20000000000000000000000000000000000000000
χ29222-2-22-2-200002i2i−2i−2i000022−2−2i2i2i2i2−i2−i2−i2−i222−2−22i−2i2-20000i2i2−i2−i222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ30222-2-22-2-200002i2i−2i−2i000022−2−2i2i2i2i2−i2−i2−i2−i222−2−22i−2i2-20000i2i2−i2−i222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ31222-2-22-2-200002i2i−2i−2i000022−2−2i2i2i2i2−i2−i2−i2−i222−2−2−2i2i-220000−i2−i2i2i2−2−222ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ32222-2-22-2-200002i2i−2i−2i000022−2−2i2i2i2i2−i2−i2−i2−i222−2−2−2i2i-220000−i2−i2i2i2−2−222−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ33222-2-22-2-200002i2i−2i−2i0000−2−222−i2−i2−i2−i2i2i2i2i2−2−2222i−2i2-20000−i2−i2i2i2−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ34222-2-22-2-200002i2i−2i−2i0000−2−222−i2−i2−i2−i2i2i2i2i2−2−2222i−2i2-20000−i2−i2i2i2−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ35222-2-22-2-200002i2i−2i−2i0000−2−222−i2−i2−i2−i2i2i2i2i2−2−222−2i2i-220000i2i2−i2−i222−2−2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ36222-2-22-2-200002i2i−2i−2i0000−2−222−i2−i2−i2−i2i2i2i2i2−2−222−2i2i-220000i2i2−i2−i222−2−2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ37222-2-22-2-20000−2i−2i2i2i000022−2−2−i2−i2−i2−i2i2i2i2i222−2−22i−2i-220000i2i2−i2−i2−2−222ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ38222-2-22-2-20000−2i−2i2i2i000022−2−2−i2−i2−i2−i2i2i2i2i222−2−22i−2i-220000i2i2−i2−i2−2−222−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ39222-2-22-2-20000−2i−2i2i2i000022−2−2−i2−i2−i2−i2i2i2i2i222−2−2−2i2i2-20000−i2−i2i2i222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ40222-2-22-2-20000−2i−2i2i2i000022−2−2−i2−i2−i2−i2i2i2i2i222−2−2−2i2i2-20000−i2−i2i2i222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ41222-2-22-2-20000−2i−2i2i2i0000−2−222i2i2i2i2−i2−i2−i2−i2−2−2222i−2i-220000−i2−i2i2i222−2−2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ42222-2-22-2-20000−2i−2i2i2i0000−2−222i2i2i2i2−i2−i2−i2−i2−2−2222i−2i-220000−i2−i2i2i222−2−2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ43222-2-22-2-20000−2i−2i2i2i0000−2−222i2i2i2i2−i2−i2−i2−i2−2−222−2i2i2-20000i2i2−i2−i2−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ44222-2-22-2-20000−2i−2i2i2i0000−2−222i2i2i2i2−i2−i2−i2−i2−2−222−2i2i2-20000i2i2−i2−i2−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ452-2-2222-2-22i2i−2i−2i2i−2i2i−2i22-2-20000000000000000000000002i−2i2i−2i2-22-22−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ462-2-2222-2-22i2i−2i−2i2i−2i2i−2i22-2-20000000000000000000000002i−2i2i−2i2-22-2−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ472-2-2222-2-22i2i−2i−2i2i−2i2i−2i22-2-2000000000000000000000000−2i2i−2i2i-22-222−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ482-2-2222-2-22i2i−2i−2i2i−2i2i−2i22-2-2000000000000000000000000−2i2i−2i2i-22-22−22−22−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ492-2-2222-2-22i2i−2i−2i−2i2i−2i2i-2-2222-22-22i2i−2i−2i2i2i−2i−2i2-22-2000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-2200000000
χ502-2-2222-2-22i2i−2i−2i−2i2i−2i2i-2-2222-22-22i2i−2i−2i2i2i−2i−2i2-22-200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-200000000
χ512-2-2222-2-22i2i−2i−2i−2i2i−2i2i-2-222-22-22−2i−2i2i2i−2i−2i2i2i-22-2200000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ522-2-2222-2-22i2i−2i−2i−2i2i−2i2i-2-222-22-22−2i−2i2i2i−2i−2i2i2i-22-220000000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ532-2-2222-2-2−2i−2i2i2i2i−2i2i−2i-2-2222-22-2−2i−2i2i2i−2i−2i2i2i2-22-2000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-200000000
χ542-2-2222-2-2−2i−2i2i2i2i−2i2i−2i-2-2222-22-2−2i−2i2i2i−2i−2i2i2i2-22-200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-2200000000
χ552-2-2222-2-2−2i−2i2i2i2i−2i2i−2i-2-222-22-222i2i−2i−2i2i2i−2i−2i-22-2200000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ562-2-2222-2-2−2i−2i2i2i2i−2i2i−2i-2-222-22-222i2i−2i−2i2i2i−2i−2i-22-220000000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ572-2-2222-2-2−2i−2i2i2i−2i2i−2i2i22-2-20000000000000000000000002i−2i2i−2i-22-222−22−22−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ582-2-2222-2-2−2i−2i2i2i−2i2i−2i2i22-2-20000000000000000000000002i−2i2i−2i-22-22−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ592-2-2222-2-2−2i−2i2i2i−2i2i−2i2i22-2-2000000000000000000000000−2i2i−2i2i2-22-22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ602-2-2222-2-2−2i−2i2i2i−2i2i−2i2i22-2-2000000000000000000000000−2i2i−2i2i2-22-2−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ612-2-2-2-222200002-2-2200002−2−22−2−22222−2−22−2−2200002-22-22−2−222−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
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χ7844-44-4-44-4000000004-44-40000−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
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χ864-444-4-4-44000000004-4-44-44-44000000004-44-400000000000000000000000000000000000000000000000000000000
χ874-444-4-4-4400000000-444-400004-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ884-444-4-4-4400000000-444-40000-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ894-44-44-44-44i−4i−4i4i0000000022−22−22222i2−2i2−2i22i2−2i22i22i2−2i2−222222−2200000000000000000000000000000000000000000000000000000000
χ904-44-44-44-44i−4i−4i4i00000000−222222−22−2i22i22i2−2i22i2−2i2−2i22i222−22−222200000000000000000000000000000000000000000000000000000000
χ914-44-44-44-4−4i4i4i−4i0000000022−22−2222−2i22i22i2−2i22i2−2i2−2i22i2−222222−2200000000000000000000000000000000000000000000000000000000
χ924-44-44-44-4−4i4i4i−4i00000000−222222−222i2−2i2−2i22i2−2i22i22i2−2i222−22−222200000000000000000000000000000000000000000000000000000000

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