Finite Group Databasebeta

← Group #142000

Character table — Group #142000

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222222224444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616444444444444
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
χ511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11-11
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-11-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-1-11
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-111-1
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-111-1
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-1-11
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii11-1-1
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-1-111
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-1-111
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i11-1-1
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
χ1822222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222000000000000
χ22222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2000000000000
χ2322222222-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ292222-2-2-2-222-2-22-2000000002-2000000002222-2-2-2-22-2000022-2-20000000000000000000022-2-222-2-222-2-222-2-2000000000000
χ302222-2-2-2-222-2-22-2000000002-2000000002222-2-2-2-22-2000022-2-200000000000000000000-2-222-2-222-2-222-2-222000000000000
χ312222-2-2-2-222-2-22-2000000002-200000000-2-2-2-222222-20000-2-222000022-2-222-2-222-2-222-2-20000000000000000000000000000
χ322222-2-2-2-222-2-22-2000000002-200000000-2-2-2-222222-20000-2-2220000-2-222-2-222-2-222-2-2220000000000000000000000000000
χ332222-2-2-2-222-2-2-2200000000-222222-2-2-2-200000000-220000000022-2-222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222000000000000
χ342222-2-2-2-222-2-2-2200000000-222222-2-2-2-200000000-220000000022-2-2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2000000000000
χ352222-2-2-2-222-2-2-2200000000-22-2-2-2-2222200000000-2200000000-2-22222−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−2000000000000
χ362222-2-2-2-222-2-2-2200000000-22-2-2-2-2222200000000-2200000000-2-222−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−222000000000000
χ372222-2-2-2-2-2-2222-2000000002-2000000002222-2-2-2-2-220000-2-22200002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ382222-2-2-2-2-2-2222-2000000002-2000000002222-2-2-2-2-220000-2-2220000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ392222-2-2-2-2-2-2222-2000000002-200000000-2-2-2-22222-22000022-2-2000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000
χ402222-2-2-2-2-2-2222-2000000002-200000000-2-2-2-22222-22000022-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000
χ412222-2-2-2-2-2-222-2200000000-222222-2-2-2-2000000002-200000000-2-222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ422222-2-2-2-2-2-222-2200000000-222222-2-2-2-2000000002-200000000-2-222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ432222-2-2-2-2-2-222-2200000000-22-2-2-2-22222000000002-20000000022-2-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ442222-2-2-2-2-2-222-2200000000-22-2-2-2-22222000000002-20000000022-2-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4522-2-22-22-22-22-20000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−200002i−2i2−22−2i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ4622-2-22-22-22-22-20000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−200002i−2i2−22−2i2−i2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ4722-2-22-22-22-22-20000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002i−2i−22−22−i2i2−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ4822-2-22-22-22-22-20000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002i−2i−22−22−i2i2−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ4922-2-22-22-22-22-2000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000−2i2i−22−22i2−i2i2−i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ5022-2-22-22-22-22-2000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000−2i2i−22−22i2−i2i2−i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ5122-2-22-22-22-22-2000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−20000−2i2i2−22−2−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ5222-2-22-22-22-22-2000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−20000−2i2i2−22−2−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ5322-2-22-22-2-22-220000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−20000−2i2i−22−22−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ5422-2-22-22-2-22-220000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−20000−2i2i−22−22−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ5522-2-22-22-2-22-220000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000−2i2i2−22−2i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ5622-2-22-22-2-22-220000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000−2i2i2−22−2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ5722-2-22-22-2-22-22000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−22200002i−2i2−22−2−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ5822-2-22-22-2-22-22000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−22200002i−2i2−22−2−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ5922-2-22-22-2-22-22000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−200002i−2i−22−22i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ6022-2-22-22-2-22-22000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−200002i−2i−22−22i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ6122-2-2-22-222-2-22002i2i−2i−2i000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222002i−2i002−2−22i2−i2−i2i2ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ6222-2-2-22-222-2-22002i2i−2i−2i000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222002i−2i002−2−22i2−i2−i2i2−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ6322-2-2-22-222-2-22002i2i−2i−2i000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2002i−2i00−222−2−i2i2i2−i2ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000000000
χ6422-2-2-22-222-2-22002i2i−2i−2i000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2002i−2i00−222−2−i2i2i2−i2−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000000000
χ6522-2-2-22-222-2-2200−2i−2i2i2i000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200−2i2i00−222−2i2−i2−i2i2ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7000000000000
χ6622-2-2-22-222-2-2200−2i−2i2i2i000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200−2i2i00−222−2i2−i2−i2i2−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7000000000000
χ6722-2-2-22-222-2-2200−2i−2i2i2i000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200−2i2i002−2−22−i2i2i2−i2ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ6822-2-2-22-222-2-2200−2i−2i2i2i000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200−2i2i002−2−22−i2i2i2−i2−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ6922-2-2-22-22-222-2002i2i−2i−2i000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200−2i2i00−222−2−i2i2i2−i2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ7022-2-2-22-22-222-2002i2i−2i−2i000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200−2i2i00−222−2−i2i2i2−i2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ7122-2-2-22-22-222-2002i2i−2i−2i000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200−2i2i002−2−22i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ7222-2-2-22-22-222-2002i2i−2i−2i000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200−2i2i002−2−22i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ7322-2-2-22-22-222-200−2i−2i2i2i000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2002i−2i002−2−22−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ7422-2-2-22-22-222-200−2i−2i2i2i000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2002i−2i002−2−22−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ7522-2-2-22-22-222-200−2i−2i2i2i000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222002i−2i00−222−2i2−i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ7622-2-2-22-22-222-200−2i−2i2i2i000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222002i−2i00−222−2i2−i2−i2i2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ772-2-2222-2-200002-22i−2i2i−2i2i−2i2i−2i-222-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ782-2-2222-2-200002-22i−2i2i−2i2i−2i2i−2i-222-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ792-2-2222-2-200002-22i−2i2i−2i2i−2i2i−2i-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000
χ802-2-2222-2-200002-22i−2i2i−2i2i−2i2i−2i-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000
χ812-2-2222-2-200002-2−2i2i−2i2i−2i2i−2i2i-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ822-2-2222-2-200002-2−2i2i−2i2i−2i2i−2i2i-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ832-2-2222-2-200002-2−2i2i−2i2i−2i2i−2i2i-22-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000
χ842-2-2222-2-200002-2−2i2i−2i2i−2i2i−2i2i-22-22-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000
χ854-44-44-4-4400000000004-4-44002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ864-44-44-4-4400000000004-4-4400−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ874-44-44-4-440000000000-444-4002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ884-44-44-4-440000000000-444-400−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ894-44-4-444-40000004-4-440000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ904-44-4-444-40000004-4-44000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-4000000-444-40000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-4000000-444-4000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ934-4-4444-4-40000-444i−4i4i−4i−4i4i−4i4i4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-4444-4-40000-44−4i4i−4i4i4i−4i4i−4i4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-4-44400004400000000-4-4000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-44400004400000000-4-400000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-4440000-4-400000000444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-4440000-4-40000000044-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000

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