Finite Group Databasebeta

← Group #482073

Character table — Group #482073

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222222244444444444444444444441616161616161616111122222222222222222244444444444444444444441616161616161616
order1222222244444488888888248888161616161616161616161616161616162444444422222222444444888888882488881616161616161616161616161616161624444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i
χ6111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii
χ7111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii
χ8111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i
χ91111-1-1111-1-1-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1111-1-1-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1111-1-1-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-111111-1-1111-1-1-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1111-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-111111-1-1111-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ121111-1-1111-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-11111-1-1111-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ131111-1-1-1-11-1-11111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii1111-1-1-1-11-1-11111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ141111-1-1-1-11-1-11111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i1111-1-1-1-11-1-11111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ151111-1-1-1-11-1-11111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i1111-1-1-1-11-1-11111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-11-1-11111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii1111-1-1-1-11-1-11111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ1722222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000022222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-2000000002-2000022−2−222−2−222−2−222−2−20000000022222222-2-2-2-2-2-2000000002-2000022−2−222−2−222−2−222−2−200000000
χ1922222222-2-2-2-2-2-2000000002-20000−2−222−2−222−2−222−2−2220000000022222222-2-2-2-2-2-2000000002-20000−2−222−2−222−2−222−2−22200000000
χ20222222-2-2222-2-2222222222-2-2-2-2-2-2000000000000000000000000222222-2-2222-2-2222222222-2-2-2-2-2-2000000000000000000000000
χ21222222-2-2-2-2-222-200000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000222222-2-2-2-2-222-200000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ22222222-2-2-2-2-222-200000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000222222-2-2-2-2-222-200000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ232222-2-2222-2-2-2-222222-2-2-2-2-22-2-2220000000000000000000000002222-2-2222-2-2-2-222222-2-2-2-2-22-2-222000000000000000000000000
χ242222-2-222-22222-200000000-2-2000022−2−2−2−22222−2−2−2−222000000002222-2-222-22222-200000000-2-2000022−2−2−2−22222−2−2−2−22200000000
χ252222-2-222-22222-200000000-2-20000−2−22222−2−2−2−22222−2−2000000002222-2-222-22222-200000000-2-20000−2−22222−2−2−2−22222−2−200000000
χ262222-2-2-2-22-2-2222-2-2-2-222222-2-2-2220000000000000000000000002222-2-2-2-22-2-2222-2-2-2-222222-2-2-222000000000000000000000000
χ272222-2-2-2-2-222-2-2-200000000220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000002222-2-2-2-2-222-2-2-200000000220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ282222-2-2-2-2-222-2-2-200000000220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000002222-2-2-2-2-222-2-2-200000000220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ2922-2-2002-202i−2i2i−2i0i2i2−i2−i222−2−2002−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ50000000022-2-2002-202i−2i2i−2i0i2i2−i2−i222−2−2002−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000
χ3022-2-2002-202i−2i2i−2i0i2i2−i2−i222−2−2002−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ50000000022-2-2002-202i−2i2i−2i0i2i2−i2−i222−2−2002−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000
χ3122-2-2002-202i−2i2i−2i0−i2−i2i2i2−2−22200−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000000022-2-2002-202i−2i2i−2i0−i2−i2i2i2−2−22200−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000
χ3222-2-2002-202i−2i2i−2i0−i2−i2i2i2−2−22200−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ70000000022-2-2002-202i−2i2i−2i0−i2−i2i2i2−2−22200−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000
χ3322-2-2002-20−2i2i−2i2i0i2i2−i2−i2−2−22200−22i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ70000000022-2-2002-20−2i2i−2i2i0i2i2−i2−i2−2−22200−22i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000
χ3422-2-2002-20−2i2i−2i2i0i2i2−i2−i2−2−22200−22i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000000022-2-2002-20−2i2i−2i2i0i2i2−i2−i2−2−22200−22i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000
χ3522-2-2002-20−2i2i−2i2i0−i2−i2i2i222−2−2002−2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ50000000022-2-2002-20−2i2i−2i2i0−i2−i2i2i222−2−2002−2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000
χ3622-2-2002-20−2i2i−2i2i0−i2−i2i2i222−2−2002−2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ50000000022-2-2002-20−2i2i−2i2i0−i2−i2i2i222−2−2002−2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000
χ3722-2-200-2202i−2i−2i2i0i2i2−i2−i222−2−200−22−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000000022-2-200-2202i−2i−2i2i0i2i2−i2−i222−2−200−22−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000
χ3822-2-200-2202i−2i−2i2i0i2i2−i2−i222−2−200−22−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000000022-2-200-2202i−2i−2i2i0i2i2−i2−i222−2−200−22−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000
χ3922-2-200-2202i−2i−2i2i0−i2−i2i2i2−2−222002−2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000000022-2-200-2202i−2i−2i2i0−i2−i2i2i2−2−222002−2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000
χ4022-2-200-2202i−2i−2i2i0−i2−i2i2i2−2−222002−2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000000022-2-200-2202i−2i−2i2i0−i2−i2i2i2−2−222002−2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000
χ4122-2-200-220−2i2i2i−2i0i2i2−i2−i2−2−222002−2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000000022-2-200-220−2i2i2i−2i0i2i2−i2−i2−2−222002−2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000
χ4222-2-200-220−2i2i2i−2i0i2i2−i2−i2−2−222002−2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000000022-2-200-220−2i2i2i−2i0i2i2−i2−i2−2−222002−2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000
χ4322-2-200-220−2i2i2i−2i0−i2−i2i2i222−2−200−22i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000000022-2-200-220−2i2i2i−2i0−i2−i2i2i222−2−200−22i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000
χ4422-2-200-220−2i2i2i−2i0−i2−i2i2i222−2−200−22i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000000022-2-200-220−2i2i2i−2i0−i2−i2i2i222−2−200−22i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000
χ454-44-44-4000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000004-44-44-4000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000
χ464-44-44-400000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000004-44-44-400000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000
χ474-44-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000004-44-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ484-44-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000004-44-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ494-4-44000040000-400004i−4i−4i4i0000000000000000000000000000004-4-44000040000-400004i−4i−4i4i000000000000000000000000000000
χ504-4-44000040000-40000−4i4i4i−4i0000000000000000000000000000004-4-44000040000-40000−4i4i4i−4i000000000000000000000000000000
χ514-4-440000-4000044-4-4400000000000000000000000000000000004-4-440000-4000044-4-440000000000000000000000000000000000
χ524-4-440000-400004-444-400000000000000000000000000000000004-4-440000-400004-444-40000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ57111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii
χ58111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i
χ59111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i
χ60111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii
χ611111-1-1111-1-1-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1-1-1-1-111-1-1-11111-11111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-11111-11-11-11-11
χ621111-1-1111-1-1-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-111-1-1-11111-11111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111111-11-11-11-1
χ631111-1-1111-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-1-1-111-1-1-11111-11111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1-11-111-11-1
χ641111-1-1111-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1-1-1-1-111-1-1-11111-11111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-11-11-1-11-11
χ651111-1-1-1-11-1-11111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii-1-1-1-11111-111-1-1-1-1-1-1-11111-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1−iii−i
χ661111-1-1-1-11-1-11111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-1-1-1-11111-111-1-1-1-1-1-1-11111-11-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11i−i−ii
χ671111-1-1-1-11-1-11111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i-1-1-1-11111-111-1-1-1-1-1-1-11111-11-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1i−i−ii
χ681111-1-1-1-11-1-11111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-1-1-1-11111-111-1-1-1-1-1-1-11111-11-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11−iii−i
χ6922222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222000000000000000000000000
χ7022222222-2-2-2-2-2-2000000002-2000022−2−222−2−222−2−222−2−200000000-2-2-2-2-2-2-2-222222200000000-220000−2−222−2−222−2−222−2−22200000000
χ7122222222-2-2-2-2-2-2000000002-20000−2−222−2−222−2−222−2−22200000000-2-2-2-2-2-2-2-222222200000000-22000022−2−222−2−222−2−222−2−200000000
χ72222222-2-2222-2-2222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-222-2-2-222-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ73222222-2-2-2-2-222-200000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000-2-2-2-2-2-222222-2-22000000002-20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ74222222-2-2-2-2-222-200000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000-2-2-2-2-2-222222-2-22000000002-20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ752222-2-2222-2-2-2-222222-2-2-2-2-22-2-222000000000000000000000000-2-2-2-222-2-2-22222-2-2-2-2-222222-222-2-2000000000000000000000000
χ762222-2-222-22222-200000000-2-2000022−2−2−2−22222−2−2−2−22200000000-2-2-2-222-2-22-2-2-2-2200000000220000−2−22222−2−2−2−22222−2−200000000
χ772222-2-222-22222-200000000-2-20000−2−22222−2−2−2−22222−2−200000000-2-2-2-222-2-22-2-2-2-220000000022000022−2−2−2−22222−2−2−2−22200000000
χ782222-2-2-2-22-2-2222-2-2-2-222222-2-2-222000000000000000000000000-2-2-2-22222-222-2-2-22222-2-2-2-2-2222-2-2000000000000000000000000
χ792222-2-2-2-2-222-2-2-200000000220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000-2-2-2-222222-2-222200000000-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ802222-2-2-2-2-222-2-2-200000000220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000-2-2-2-222222-2-222200000000-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ8122-2-2002-202i−2i2i−2i0i2i2−i2−i222−2−2002−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000-2-22200-220−2i2i−2i2i0−i2−i2i2i2−2−22200−22−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000
χ8222-2-2002-202i−2i2i−2i0i2i2−i2−i222−2−2002−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000-2-22200-220−2i2i−2i2i0−i2−i2i2i2−2−22200−22−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000
χ8322-2-2002-202i−2i2i−2i0−i2−i2i2i2−2−22200−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000-2-22200-220−2i2i−2i2i0i2i2−i2−i222−2−2002−2i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000
χ8422-2-2002-202i−2i2i−2i0−i2−i2i2i2−2−22200−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000-2-22200-220−2i2i−2i2i0i2i2−i2−i222−2−2002−2i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000
χ8522-2-2002-20−2i2i−2i2i0i2i2−i2−i2−2−22200−22i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000-2-22200-2202i−2i2i−2i0−i2−i2i2i222−2−2002−2−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000
χ8622-2-2002-20−2i2i−2i2i0i2i2−i2−i2−2−22200−22i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000-2-22200-2202i−2i2i−2i0−i2−i2i2i222−2−2002−2−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000
χ8722-2-2002-20−2i2i−2i2i0−i2−i2i2i222−2−2002−2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000-2-22200-2202i−2i2i−2i0i2i2−i2−i2−2−22200−22i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000
χ8822-2-2002-20−2i2i−2i2i0−i2−i2i2i222−2−2002−2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000-2-22200-2202i−2i2i−2i0i2i2−i2−i2−2−22200−22i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000
χ8922-2-200-2202i−2i−2i2i0i2i2−i2−i222−2−200−22−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000-2-222002-20−2i2i2i−2i0−i2−i2i2i2−2−222002−2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000
χ9022-2-200-2202i−2i−2i2i0i2i2−i2−i222−2−200−22−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000-2-222002-20−2i2i2i−2i0−i2−i2i2i2−2−222002−2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000
χ9122-2-200-2202i−2i−2i2i0−i2−i2i2i2−2−222002−2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000-2-222002-20−2i2i2i−2i0i2i2−i2−i222−2−200−22−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000
χ9222-2-200-2202i−2i−2i2i0−i2−i2i2i2−2−222002−2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000-2-222002-20−2i2i2i−2i0i2i2−i2−i222−2−200−22−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000
χ9322-2-200-220−2i2i2i−2i0i2i2−i2−i2−2−222002−2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000-2-222002-202i−2i−2i2i0−i2−i2i2i222−2−200−22i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000
χ9422-2-200-220−2i2i2i−2i0i2i2−i2−i2−2−222002−2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000-2-222002-202i−2i−2i2i0−i2−i2i2i222−2−200−22i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000
χ9522-2-200-220−2i2i2i−2i0−i2−i2i2i222−2−200−22i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000-2-222002-202i−2i−2i2i0i2i2−i2−i2−2−222002−2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000
χ9622-2-200-220−2i2i2i−2i0−i2−i2i2i222−2−200−22i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000-2-222002-202i−2i−2i2i0i2i2−i2−i2−2−222002−2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000
χ974-44-44-4000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000-44-44-4400000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000
χ984-44-44-400000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000-44-44-44000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000
χ994-44-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000-44-444-400000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ1004-44-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000-44-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ1014-4-44000040000-400004i−4i−4i4i000000000000000000000000000000-444-40000-4000040000−4i4i4i−4i000000000000000000000000000000
χ1024-4-44000040000-40000−4i4i4i−4i000000000000000000000000000000-444-40000-40000400004i−4i−4i4i000000000000000000000000000000
χ1034-4-440000-4000044-4-440000000000000000000000000000000000-444-4000040000-4-444-40000000000000000000000000000000000
χ1044-4-440000-400004-444-40000000000000000000000000000000000-444-4000040000-44-4-440000000000000000000000000000000000

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