Finite Group Databasebeta

← Group #142103

Character table — Group #142103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616888888884444
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
χ51111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ911111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-11-11
χ1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-11-11
χ1211111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−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
χ1822222222222222-2-2-2-2-2-2-2-2220000000000000000-2-222-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ1922222222222222-2-2-2-2-2-2-2-2220000000000000000-2-222-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ202222222222-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222000000000000
χ212222222222-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2000000000000
χ222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2322222222-2-2222222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2522222222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ292222-2-2-2-2220000000022-2-2-2-200002222-2-2-2-200002-20000000022-2-222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ302222-2-2-2-2220000000022-2-2-2-200002222-2-2-2-200002-20000000022-2-2−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ312222-2-2-2-2220000000022-2-2-2-20000-2-2-2-2222200002-200000000-2-22222−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000
χ322222-2-2-2-2220000000022-2-2-2-20000-2-2-2-2222200002-200000000-2-222−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000
χ332222-2-2-2-22200000000-2-222-2-222-2-20000000022-2-2-22000022-2-20000000000000000000022-2-2-2-22222-2-2-2-222000000000000
χ342222-2-2-2-22200000000-2-222-2-222-2-20000000022-2-2-22000022-2-200000000000000000000-2-22222-2-2-2-22222-2-2000000000000
χ352222-2-2-2-22200000000-2-222-2-2-2-22200000000-2-222-220000-2-222000022-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ362222-2-2-2-22200000000-2-222-2-2-2-22200000000-2-222-220000-2-2220000-2-22222-2-2-2-22222-2-20000000000000000000000000000
χ372222-2-2-2-2-2-20000000022-2-22200002222-2-2-2-20000-2200000000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ382222-2-2-2-2-2-20000000022-2-22200002222-2-2-2-20000-2200000000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ392222-2-2-2-2-2-20000000022-2-2220000-2-2-2-222220000-220000000022-2-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ402222-2-2-2-2-2-20000000022-2-2220000-2-2-2-222220000-220000000022-2-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ412222-2-2-2-2-2-200000000-2-2222222-2-20000000022-2-22-20000-2-22200002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ422222-2-2-2-2-2-200000000-2-2222222-2-20000000022-2-22-20000-2-2220000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ432222-2-2-2-2-2-200000000-2-22222-2-22200000000-2-2222-2000022-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000
χ442222-2-2-2-2-2-200000000-2-22222-2-22200000000-2-2222-2000022-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000
χ4522-2-22-22-22i−2i000022-2-200002i−2ii2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i200002i−2i2−22−22−22−2ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ4622-2-22-22-22i−2i000022-2-200002i−2ii2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i200002i−2i2−22−22−22−2−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ4722-2-22-22-22i−2i000022-2-200002i−2i−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i200002i−2i−22−22−22−22ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3000000000000
χ4822-2-22-22-22i−2i000022-2-200002i−2i−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i200002i−2i−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3000000000000
χ4922-2-22-22-22i−2i0000-2-22200002i−2ii2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i20000−2i2i2−22−2−22−22ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ5022-2-22-22-22i−2i0000-2-22200002i−2ii2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i20000−2i2i2−22−2−22−22−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ5122-2-22-22-22i−2i0000-2-22200002i−2i−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i20000−2i2i−22−222−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3000000000000
χ5222-2-22-22-22i−2i0000-2-22200002i−2i−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i20000−2i2i−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3000000000000
χ5322-2-22-22-2−2i2i000022-2-20000−2i2ii2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i20000−2i2i−22−22−22−22ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ5422-2-22-22-2−2i2i000022-2-20000−2i2ii2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i20000−2i2i−22−22−22−22−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ5522-2-22-22-2−2i2i000022-2-20000−2i2i−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i20000−2i2i2−22−22−22−2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3000000000000
χ5622-2-22-22-2−2i2i000022-2-20000−2i2i−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i20000−2i2i2−22−22−22−2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3000000000000
χ5722-2-22-22-2−2i2i0000-2-2220000−2i2ii2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i200002i−2i−22−222−22−2ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ5822-2-22-22-2−2i2i0000-2-2220000−2i2ii2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i200002i−2i−22−222−22−2−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ5922-2-22-22-2−2i2i0000-2-2220000−2i2i−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i200002i−2i2−22−2−22−22ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3000000000000
χ6022-2-22-22-2−2i2i0000-2-2220000−2i2i−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i200002i−2i2−22−2−22−22−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3000000000000
χ6122-2-2-22-222i−2i22-2-200000000−2i2ii2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2002i−2i002−2−222−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ6222-2-2-22-222i−2i22-2-200000000−2i2ii2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2002i−2i002−2−222−2−22−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ6322-2-2-22-222i−2i22-2-200000000−2i2i−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2i2i2−i2002i−2i00−222−2−222−2ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3000000000000
χ6422-2-2-22-222i−2i22-2-200000000−2i2i−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2i2i2−i2002i−2i00−222−2−222−2−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3000000000000
χ6522-2-2-22-222i−2i-2-22200000000−2i2ii2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i200−2i2i002−2−22−222−2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ6622-2-2-22-222i−2i-2-22200000000−2i2ii2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i200−2i2i002−2−22−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ6722-2-2-22-222i−2i-2-22200000000−2i2i−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i200−2i2i00−222−22−2−22ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3000000000000
χ6822-2-2-22-222i−2i-2-22200000000−2i2i−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i200−2i2i00−222−22−2−22−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3000000000000
χ6922-2-2-22-22−2i2i22-2-2000000002i−2ii2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i200−2i2i00−222−2−222−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ7022-2-2-22-22−2i2i22-2-2000000002i−2ii2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i200−2i2i00−222−2−222−2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ7122-2-2-22-22−2i2i22-2-2000000002i−2i−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2i2i2−i200−2i2i002−2−222−2−22ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3000000000000
χ7222-2-2-22-22−2i2i22-2-2000000002i−2i−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2i2i2−i200−2i2i002−2−222−2−22−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3000000000000
χ7322-2-2-22-22−2i2i-2-222000000002i−2ii2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i2002i−2i00−222−22−2−22ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ7422-2-2-22-22−2i2i-2-222000000002i−2ii2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i2002i−2i00−222−22−2−22−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ7522-2-2-22-22−2i2i-2-222000000002i−2i−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2002i−2i002−2−22−222−2ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3000000000000
χ7622-2-2-22-22−2i2i-2-222000000002i−2i−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2002i−2i002−2−22−222−2−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3000000000000
χ772-22-2-2-222002-22-22-22-22-22-20022222-22-22-22-2-2-2-2-20000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ782-22-2-2-222002-22-22-22-22-22-20022222-22-22-22-2-2-2-2-20000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ792-22-2-2-222002-22-22-22-22-22-200-2-2-2-2-22-22-22-22222200000000000000000000000000000000000000000000002−2−222−2−220000
χ802-22-2-2-222002-22-22-22-22-22-200-2-2-2-2-22-22-22-2222220000000000000000000000000000000000000000000000−222−2−222−20000
χ812-22-2-2-22200-22-22-22-222-22-2002222-22-22-22-22-2-2-2-20000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ822-22-2-2-22200-22-22-22-222-22-2002222-22-22-22-22-2-2-2-20000000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ832-22-2-2-22200-22-22-22-222-22-200-2-2-2-22-22-22-22-2222200000000000000000000000000000000000000000000002−2−22−222−20000
χ842-22-2-2-22200-22-22-22-222-22-200-2-2-2-22-22-22-22-222220000000000000000000000000000000000000000000000−222−22−2−220000
χ854-44-444-4-400000000004-4-440000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000
χ864-44-444-4-400000000004-4-44000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000
χ874-44-444-4-40000000000-444-40044-4-400000000-4-4440000000000000000000000000000000000000000000000000000000000
χ884-44-444-4-40000000000-444-400-4-4440000000044-4-40000000000000000000000000000000000000000000000000000000000
χ894-44-4-4-444004-44-4-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-4-4-44400-44-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-44004-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-44004-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-4400-444-400000000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-4400-444-40000000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ954-4-44-444-40000004-4-440000002i2−2i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ964-4-44-444-40000004-4-44000000−2i22i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ974-4-44-444-4000000-444-40000002i2−2i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ984-4-44-444-4000000-444-4000000−2i22i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000

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