Finite Group Databasebeta

← Group #125322

Character table — Group #125322

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888224444888888881616161616161616161616161616161616161616161616161616161616161616888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1
χ91111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-1-11
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ18222222222222222222-2-222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ2122222222-2-22222-2-2-2-222-2-222000000000000000022-2-2-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ2222222222-2-22222-2-2-2-222-2-222000000000000000022-2-2-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2522222222-2-2-2-2-2-2222222-2-2220000000000000000-2-2-2-222000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2622222222-2-2-2-2-2-2222222-2-2220000000000000000-2-2-2-22200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ29222-22-2-2-200000022-2-22i−2i002i−2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i22−2−222−2−2ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ30222-22-2-2-200000022-2-22i−2i002i−2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i22−2−222−2−2−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ31222-22-2-2-200000022-2-22i−2i002i−2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i−2−222−2−222ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3000000000000
χ32222-22-2-2-200000022-2-22i−2i002i−2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3000000000000
χ33222-22-2-2-200000022-2-2−2i2i00−2i2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i−2−222−2−222ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ34222-22-2-2-200000022-2-2−2i2i00−2i2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i−2−222−2−222−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ35222-22-2-2-200000022-2-2−2i2i00−2i2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i22−2−222−2−2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3000000000000
χ36222-22-2-2-200000022-2-2−2i2i00−2i2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i22−2−222−2−2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3000000000000
χ37222-22-2-2-2000000-2-2222i−2i002i−2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i−2−22222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3000000000000
χ38222-22-2-2-2000000-2-2222i−2i002i−2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3000000000000
χ39222-22-2-2-2000000-2-2222i−2i002i−2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i22−2−2−2−222ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ40222-22-2-2-2000000-2-2222i−2i002i−2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i22−2−2−2−222−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ41222-22-2-2-2000000-2-222−2i2i00−2i2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i22−2−2−2−222ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3000000000000
χ42222-22-2-2-2000000-2-222−2i2i00−2i2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i22−2−2−2−222−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3000000000000
χ43222-22-2-2-2000000-2-222−2i2i00−2i2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i−2−22222−2−2ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ44222-22-2-2-2000000-2-222−2i2i00−2i2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i−2−22222−2−2−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ4522-22-22-2-22-2000000002i−2i2-2−2i2i000000002i2i−2i−2i2i2i−2i−2i002i−2i002-22-20000000000002ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ6000000002ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ2000000000000
χ4622-22-22-2-22-2000000002i−2i2-2−2i2i000000002i2i−2i−2i2i2i−2i−2i002i−2i002-22-2000000000000−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ600000000−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2000000000000
χ4722-22-22-2-22-2000000002i−2i2-2−2i2i00000000−2i−2i2i2i−2i−2i2i2i002i−2i00-22-2200002ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ6000000002ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ200000000000000000000
χ4822-22-22-2-22-2000000002i−2i2-2−2i2i00000000−2i−2i2i2i−2i−2i2i2i002i−2i00-22-220000−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ600000000−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ200000000000000000000
χ4922-22-22-2-22-200000000−2i2i2-22i−2i000000002i2i−2i−2i2i2i−2i−2i00−2i2i00-22-2200002ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ2000000002ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ600000000000000000000
χ5022-22-22-2-22-200000000−2i2i2-22i−2i000000002i2i−2i−2i2i2i−2i−2i00−2i2i00-22-220000−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ200000000−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ600000000000000000000
χ5122-22-22-2-22-200000000−2i2i2-22i−2i00000000−2i−2i2i2i−2i−2i2i2i00−2i2i002-22-20000000000002ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ2000000002ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ6000000000000
χ5222-22-22-2-22-200000000−2i2i2-22i−2i00000000−2i−2i2i2i−2i−2i2i2i00−2i2i002-22-2000000000000−2ζ22ζ2−2ζ22ζ2−2ζ22ζ2−2ζ22ζ200000000−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6−2ζ62ζ6000000000000
χ5322-22-22-2-2-22000000002i−2i-22−2i2i2i2i−2i−2i2i2i−2i−2i0000000000−2i2i0000002-22-21−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000000000
χ5422-22-22-2-2-22000000002i−2i-22−2i2i2i2i−2i−2i2i2i−2i−2i0000000000−2i2i0000002-22-2−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000000000
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χ6222-2-2-2-2220022-2-200002200-2-222−2−2−2−22222−2−2−2−2222-200002−2−222−2−22−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
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χ6822-2-2-2-2220022-2-20000-2-20022−2−22222−2−2−2−22222−2−2-2200002−2−222−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000000000
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χ984-4-4-4444-4-4-4-44-444-44-400440000000000000000000000000000000000000000000000000000000000000000000000000000

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