Finite Group Databasebeta

← Group #495355

Character table — Group #495355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222222224444444444444444444444888888881616161611111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884488881616161616161616161616161616161644444444444422222222444444448888888844888816161616161616161616161616161616444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-11-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ101-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-111-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ111-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-111-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ121-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-11-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ131-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ141-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-11-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ151-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-11-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ161-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ172222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000002222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000002222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ1922222222-2-22222-2-200000000-2-2000022−2−222−2−222−2−222−2−200000000000022222222-2-22222-2-200000000-2-2000022−2−222−2−222−2−222−2−2000000000000
χ2022222222-2-22222-2-200000000-2-20000−2−222−2−222−2−222−2−22200000000000022222222-2-22222-2-200000000-2-20000−2−222−2−222−2−222−2−222000000000000
χ2122222222-2-2-2-2-2-2-2-20000000022000022−2−222−2−2−2−222−2−22200000000000022222222-2-2-2-2-2-2-2-20000000022000022−2−222−2−2−2−222−2−222000000000000
χ2222222222-2-2-2-2-2-2-2-200000000220000−2−222−2−22222−2−222−2−200000000000022222222-2-2-2-2-2-2-2-200000000220000−2−222−2−22222−2−222−2−2000000000000
χ2322-222-2-2-22-200002-222-2-222-2-2000000000000000000000000002-22-2000022-222-2-2-22-200002-222-2-222-2-2000000000000000000000000002-22-20000
χ2422-222-2-2-22-200002-222-2-222-2-200000000000000000000000000-22-22000022-222-2-2-22-200002-222-2-222-2-200000000000000000000000000-22-220000
χ2522-222-2-2-22-200002-2-2-222-2-22200000000000000000000002i−2i2i−2i0000000022-222-2-2-22-200002-2-2-222-2-22200000000000000000000002i−2i2i−2i00000000
χ2622-222-2-2-22-200002-2-2-222-2-2220000000000000000000000−2i2i−2i2i0000000022-222-2-2-22-200002-2-2-222-2-2220000000000000000000000−2i2i−2i2i00000000
χ2722-2-2-222-2002i−2i2i−2i002−22−22−22−200i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000000022-2-2-222-2002i−2i2i−2i002−22−22−22−200i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ2822-2-2-222-2002i−2i2i−2i002−22−22−22−200i2−i2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000000022-2-2-222-2002i−2i2i−2i002−22−22−22−200i2−i2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ2922-2-2-222-2002i−2i2i−2i00−22−22−22−2200−i2i2−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000000022-2-2-222-2002i−2i2i−2i00−22−22−22−2200−i2i2−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ3022-2-2-222-2002i−2i2i−2i00−22−22−22−2200−i2i2−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ500000000000022-2-2-222-2002i−2i2i−2i00−22−22−22−2200−i2i2−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ3122-2-2-222-200−2i2i−2i2i002−22−22−22−200−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000000022-2-2-222-200−2i2i−2i2i002−22−22−22−200−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ3222-2-2-222-200−2i2i−2i2i002−22−22−22−200−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000000022-2-2-222-200−2i2i−2i2i002−22−22−22−200−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ3322-2-2-222-200−2i2i−2i2i00−22−22−22−2200i2−i2i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ500000000000022-2-2-222-200−2i2i−2i2i00−22−22−22−2200i2−i2i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ3422-2-2-222-200−2i2i−2i2i00−22−22−22−2200i2−i2i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000000022-2-2-222-200−2i2i−2i2i00−22−22−22−2200i2−i2i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ352-222-22-2-2-2200002-222-2-2-2-222000000000000000000000000002i−2i−2i2i00002-222-22-2-2-2200002-222-2-2-2-222000000000000000000000000002i−2i−2i2i0000
χ362-222-22-2-2-2200002-222-2-2-2-22200000000000000000000000000−2i2i2i−2i00002-222-22-2-2-2200002-222-2-2-2-22200000000000000000000000000−2i2i2i−2i0000
χ372-222-22-2-2-2200002-2-2-22222-2-200000000000000000000002-2-22000000002-222-22-2-2-2200002-2-2-22222-2-200000000000000000000002-2-2200000000
χ382-222-22-2-2-2200002-2-2-22222-2-20000000000000000000000-222-2000000002-222-22-2-2-2200002-2-2-22222-2-20000000000000000000000-222-200000000
χ392-22-22-22-2002i−2i−2i2i002−22−2−22−2200i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000000000002-22-22-22-2002i−2i−2i2i002−22−2−22−2200i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ402-22-22-22-2002i−2i−2i2i002−22−2−22−2200i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000000000002-22-22-22-2002i−2i−2i2i002−22−2−22−2200i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ412-22-22-22-2002i−2i−2i2i00−22−222−22−200−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000000000002-22-22-22-2002i−2i−2i2i00−22−222−22−200−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ422-22-22-22-2002i−2i−2i2i00−22−222−22−200−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000000000002-22-22-22-2002i−2i−2i2i00−22−222−22−200−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ432-22-22-22-200−2i2i2i−2i002−22−2−22−2200−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000000000002-22-22-22-200−2i2i2i−2i002−22−2−22−2200−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ442-22-22-22-200−2i2i2i−2i002−22−2−22−2200−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000000000002-22-22-22-200−2i2i2i−2i002−22−2−22−2200−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ452-22-22-22-200−2i2i2i−2i00−22−222−22−200i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000000000002-22-22-22-200−2i2i2i−2i00−22−222−22−200i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ462-22-22-22-200−2i2i2i−2i00−22−222−22−200i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000000000002-22-22-22-200−2i2i2i−2i00−22−222−22−200i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ472-2-22-2-2222222-2-2-2-200000000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000002-2-22-2-2222222-2-2-2-200000000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ482-2-22-2-2222222-2-2-2-200000000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000002-2-22-2-2222222-2-2-2-200000000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ492-2-22-2-22222-2-222-2-2000000002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000002-2-22-2-22222-2-222-2-2000000002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ502-2-22-2-22222-2-222-2-2000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000002-2-22-2-22222-2-222-2-2000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ512-2-22-2-222-2-222-2-222-2-2-2-222222-2-2-22200000000000000000000000000002-2-22-2-222-2-222-2-222-2-2-2-222222-2-2-2220000000000000000000000000000
χ522-2-22-2-222-2-2-2-22222-2-2-2-22222-2222-2-200000000000000000000000000002-2-22-2-222-2-2-2-22222-2-2-2-22222-2222-2-20000000000000000000000000000
χ53444-4-4-4-440000000022−22−222222−22−22220000000000000000000000000000000000444-4-4-4-440000000022−22−222222−22−22220000000000000000000000000000000000
χ54444-4-4-4-4400000000−222222−22−222222−220000000000000000000000000000000000444-4-4-4-4400000000−222222−22−222222−220000000000000000000000000000000000
χ5544-444-4-4-4-440000-4400000000000000000000000000000000000000000044-444-4-4-4-440000-44000000000000000000000000000000000000000000
χ564-444-44-4-44-40000-440000000000000000000000000000000000000000004-444-44-4-44-40000-44000000000000000000000000000000000000000000
χ574-4-4-444-440000000022−22−2222−222222−2200000000000000000000000000000000004-4-4-444-440000000022−22−2222−222222−220000000000000000000000000000000000
χ584-4-4-444-4400000000−222222−2222−22−222200000000000000000000000000000000004-4-4-444-4400000000−222222−2222−22−22220000000000000000000000000000000000
χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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χ62111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ631111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ641111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
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χ661111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
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χ691-1-11-1-111-1-111-1-1111111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11-111-111-1-111-1-111-1-1-1-1-1-11111-11-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii1-11-1
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χ752222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222220000000000000000000000000000
χ762222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000-2-2-2-2-2-2-2-2-2-22222-2-22222222222-2-2-2-20000000000000000000000000000
χ7722222222-2-22222-2-200000000-2-2000022−2−222−2−222−2−222−2−2000000000000-2-2-2-2-2-2-2-222-2-2-2-22200000000220000−2−222−2−222−2−222−2−222000000000000
χ7822222222-2-22222-2-200000000-2-20000−2−222−2−222−2−222−2−222000000000000-2-2-2-2-2-2-2-222-2-2-2-2220000000022000022−2−222−2−222−2−222−2−2000000000000
χ7922222222-2-2-2-2-2-2-2-20000000022000022−2−222−2−2−2−222−2−222000000000000-2-2-2-2-2-2-2-22222222200000000-2-20000−2−222−2−22222−2−222−2−2000000000000
χ8022222222-2-2-2-2-2-2-2-200000000220000−2−222−2−22222−2−222−2−2000000000000-2-2-2-2-2-2-2-22222222200000000-2-2000022−2−222−2−2−2−222−2−222000000000000
χ8122-222-2-2-22-200002-222-2-222-2-2000000000000000000000000002-22-20000-2-22-2-2222-220000-22-2-222-2-22200000000000000000000000000-22-220000
χ8222-222-2-2-22-200002-222-2-222-2-200000000000000000000000000-22-220000-2-22-2-2222-220000-22-2-222-2-222000000000000000000000000002-22-20000
χ8322-222-2-2-22-200002-2-2-222-2-22200000000000000000000002i−2i2i−2i00000000-2-22-2-2222-220000-2222-2-222-2-20000000000000000000000−2i2i−2i2i00000000
χ8422-222-2-2-22-200002-2-2-222-2-2220000000000000000000000−2i2i−2i2i00000000-2-22-2-2222-220000-2222-2-222-2-200000000000000000000002i−2i2i−2i00000000
χ8522-2-2-222-2002i−2i2i−2i002−22−22−22−200i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000-2-2222-2-2200−2i2i−2i2i00−22−22−22−2200−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
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χ9222-2-2-222-200−2i2i−2i2i00−22−22−22−2200i2−i2i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000-2-2222-2-22002i−2i2i−2i002−22−22−22−200−i2i2−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
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χ942-222-22-2-2-2200002-222-2-2-2-22200000000000000000000000000−2i2i2i−2i0000-22-2-22-2222-20000-22-2-22222-2-2000000000000000000000000002i−2i−2i2i0000
χ952-222-22-2-2-2200002-2-2-22222-2-200000000000000000000002-2-2200000000-22-2-22-2222-20000-2222-2-2-2-2220000000000000000000000-222-200000000
χ962-222-22-2-2-2200002-2-2-22222-2-20000000000000000000000-222-200000000-22-2-22-2222-20000-2222-2-2-2-22200000000000000000000002-2-2200000000
χ972-22-22-22-2002i−2i−2i2i002−22−2−22−2200i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000-22-22-22-2200−2i2i2i−2i00−22−222−22−200−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
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χ1012-22-22-22-200−2i2i2i−2i002−22−2−22−2200−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000-22-22-22-22002i−2i−2i2i00−22−222−22−200i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
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χ1032-22-22-22-200−2i2i2i−2i00−22−222−22−200i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000-22-22-22-22002i−2i−2i2i002−22−2−22−2200−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
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χ1062-2-22-2-2222222-2-2-2-200000000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000-222-222-2-2-2-2-2-22222000000002-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
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χ1082-2-22-2-22222-2-222-2-2000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000-222-222-2-2-2-222-2-22200000000-220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
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χ112444-4-4-4-4400000000−222222−22−222222−220000000000000000000000000000000000-4-4-44444-40000000022−22−222222−22−22220000000000000000000000000000000000
χ11344-444-4-4-4-440000-44000000000000000000000000000000000000000000-4-44-4-44444-400004-4000000000000000000000000000000000000000000
χ1144-444-44-4-44-40000-44000000000000000000000000000000000000000000-44-4-44-444-4400004-4000000000000000000000000000000000000000000
χ1154-4-4-444-440000000022−22−2222−222222−220000000000000000000000000000000000-4444-4-44-400000000−222222−2222−22−22220000000000000000000000000000000000
χ1164-4-4-444-4400000000−222222−2222−22−22220000000000000000000000000000000000-4444-4-44-40000000022−22−2222−222222−220000000000000000000000000000000000

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