Finite Group Databasebeta

← Group #11772376

Character table — Group #11772376

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order122244888833666666121212122424242424242424161616161616161616161616161616161212242424242222484848484848484848484848484848484488884444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111111-1-111-1-1ii−i−i
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-111-1-111−i−iii
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111111-1-111-1-1−i−iii
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-111-1-111ii−i−i
χ91-11-1-1111-1-111-1-1-111-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-11-1-11iiii−i−i−i−iiiii−i−i−i−i1-111-1-1i−ii−ii−ii−i1-11-1
χ101-11-1-1111-1-111-1-1-111-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-11-1-11iiii−i−i−i−iiiii−i−i−i−i1-111-1-1−ii−ii−ii−ii-11-11
χ111-11-1-1111-1-111-1-1-111-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-11-1-11−i−i−i−iiiii−i−i−i−iiiii1-111-1-1i−ii−ii−ii−i-11-11
χ121-11-1-1111-1-111-1-1-111-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-11-1-11−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−ii−ii−ii−ii1-11-1
χ131-11-1-11-1-11111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-111-11111-1-1-1-1-1-1-1-11111-1111-1-1i−i−iii−i−ii−iii−i
χ141-11-1-11-1-11111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-111-11111-1-1-1-1-1-1-1-11111-1111-1-1−iii−i−iii−ii−i−ii
χ151-11-1-11-1-11111-1-1-111-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-111-1-1-1-1-111111111-1-1-1-1-1111-1-1i−i−iii−i−iii−i−ii
χ161-11-1-11-1-11111-1-1-111-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-111-1-1-1-1-111111111-1-1-1-1-1111-1-1−iii−i−iii−i−iii−i
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22222000000000000000022-2-2-2-2000000000000
χ192222-2-2000022222222-2-2-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2-20000-2-2-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2220000000000000000
χ202222-2-2000022222222-2-2-2-20000000022−2−222−2−2−2−222−2−222-2-20000222222−2−222−2−2−2−222−2−222-2-20000000000000000
χ212222-2-2000022222222-2-2-2-200000000−2−222−2−22222−2−222−2−2-2-200002222−2−222−2−22222−2−222−2−2-2-20000000000000000
χ222222-2-2000022222222-2-2-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2-20000-2-2-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2220000000000000000
χ2322-2-2002−22−22222-2-2-2-2000022−2−222−2−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7002−22−2-22-22ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7002−22−2000000000000
χ2422-2-2002−22−22222-2-2-2-2000022−2−222−2−2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7002−22−22-22-2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700−22−22000000000000
χ2522-2-2002−22−22222-2-2-2-2000022−2−222−2−2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7002−22−22-22-2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700−22−22000000000000
χ2622-2-2002−22−22222-2-2-2-2000022−2−222−2−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7002−22−2-22-22−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7002−22−2000000000000
χ2722-2-200−22−222222-2-2-2-20000−2−222−2−222ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500−22−22-22-22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500−22−22000000000000
χ2822-2-200−22−222222-2-2-2-20000−2−222−2−222ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500−22−222-22-2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5002−22−2000000000000
χ2922-2-200−22−222222-2-2-2-20000−2−222−2−222−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500−22−222-22-2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5002−22−2000000000000
χ3022-2-200−22−222222-2-2-2-20000−2−222−2−222−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500−22−22-22-22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500−22−22000000000000
χ312-22-22-2000022-2-2-222-222-2-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22-200002-2-22i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-220000000000000000
χ322-22-22-2000022-2-2-222-222-2-20000000022−2−2−2−22222−2−2−2−2222-20000-222-222−2−2−2−22222−2−2−2−2222-20000000000000000
χ332-22-22-2000022-2-2-222-222-2-200000000−2−22222−2−2−2−22222−2−22-20000-222-2−2−22222−2−2−2−22222−2−22-20000000000000000
χ342-22-22-2000022-2-2-222-222-2-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-200002-2-22−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-220000000000000000
χ352-22-2-2222-2-222-2-2-222-2-2-2222222-2-2-2-20000000000000000-2222-2-2-222-20000000000000000-22-2-222000000000000
χ362-22-2-22-2-22222-2-2-222-2-2-222-2-2-2-222220000000000000000-22-2-2222-2-2200000000000000002-2-2-222000000000000
χ372-2-22002−2−2222-2-22-2-22000022−2−2−2−222ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5002−2−2222-2-2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500−222−2000000000000
χ382-2-22002−2−2222-2-22-2-22000022−2−2−2−222ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5002−2−22-2-222ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5002−2−22000000000000
χ392-2-22002−2−2222-2-22-2-22000022−2−2−2−222−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5002−2−22-2-222−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5002−2−22000000000000
χ402-2-22002−2−2222-2-22-2-22000022−2−2−2−222−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5002−2−2222-2-2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500−222−2000000000000
χ412-2-2200−222−222-2-22-2-220000−2−22222−2−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700−222−222-2-2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7002−2−22000000000000
χ422-2-2200−222−222-2-22-2-220000−2−22222−2−2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700−222−2-2-222ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700−222−2000000000000
χ432-2-2200−222−222-2-22-2-220000−2−22222−2−2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700−222−2-2-222−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700−222−2000000000000
χ442-2-2200−222−222-2-22-2-220000−2−22222−2−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700−222−222-2-2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7002−2−22000000000000
χ4544444444441-21-211-2-21111111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-21-211-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-21-2-211-2-2-2-2-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-21-2-211-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-21-211-2-21111-1-1-1-1-1-1-1-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222220000−i−i−i−i−i−i−i−iiiiiiiii000000000000000000
χ50444444-4-4-4-41-21-211-2-21111-1-1-1-1-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222220000iiiiiiii−i−i−i−i−i−i−i−i000000000000000000
χ51444444-4-4-4-4-21-21-2-211-2-2-2-222222222000000000000000011-1-1-1-10000000000000000000000000022-2-2-1-1110000
χ52444444-4-4-4-4-21-21-2-211-2-2-2-222222222000000000000000011-1-1-1-100000000000000000000000000-2-22211-1-10000
χ534444-4-400001-21-211-2-2-1-1-1-13i−3i3i−3i3i−3i3i−3i2ζ22ζ2−2ζ2−2ζ22ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ62ζ62ζ6−2ζ6−2ζ62200000000−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6000000000000000000
χ544444-4-400001-21-211-2-2-1-1-1-13i−3i3i−3i3i−3i3i−3i−2ζ2−2ζ22ζ22ζ2−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6−2ζ6−2ζ62ζ62ζ62200000000ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6000000000000000000
χ554444-4-400001-21-211-2-2-1-1-1-1−3i3i−3i3i−3i3i−3i3i2ζ62ζ6−2ζ6−2ζ62ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ22ζ22ζ2−2ζ2−2ζ22200000000−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2000000000000000000
χ564444-4-400001-21-211-2-2-1-1-1-1−3i3i−3i3i−3i3i−3i3i−2ζ6−2ζ62ζ62ζ6−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2−2ζ2−2ζ22ζ22ζ22200000000ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2000000000000000000
χ5744-4-40022−2222−221-21-2-1-1223i−3i3i−3i2ζ2+ζ6−ζ2−2ζ6−2ζ2−ζ6ζ2+2ζ62ζ2+ζ6−ζ2−2ζ6−2ζ2−ζ6ζ2+2ζ62ζ−2ζ2ζ5−2ζ52ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ72ζ3−2ζ32ζ7−2ζ700−22−220000−ζζ−ζ5ζ5−ζζ−ζ5ζ5−ζ3ζ3−ζ7ζ7−ζ3ζ3−ζ7ζ7000000000000000000
χ5844-4-40022−2222−221-21-2-1-1223i−3i3i−3i2ζ2+ζ6−ζ2−2ζ6−2ζ2−ζ6ζ2+2ζ62ζ2+ζ6−ζ2−2ζ6−2ζ2−ζ6ζ2+2ζ6−2ζ2ζ−2ζ52ζ5−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7−2ζ32ζ3−2ζ72ζ700−22−220000ζ−ζζ5−ζ5ζ−ζζ5−ζ5ζ3−ζ3ζ7−ζ7ζ3−ζ3ζ7−ζ7000000000000000000
χ5944-4-40022−2222−221-21-2-1-122−3i3i−3i3i−ζ2−2ζ62ζ2+ζ6ζ2+2ζ6−2ζ2−ζ6−ζ2−2ζ62ζ2+ζ6ζ2+2ζ6−2ζ2−ζ62ζ7−2ζ72ζ3−2ζ32ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ2ζ5−2ζ52ζ−2ζ00−22−220000−ζ7ζ7−ζ3ζ3−ζ7ζ7−ζ3ζ3−ζ5ζ5−ζζ−ζ5ζ5−ζζ000000000000000000
χ6044-4-40022−2222−221-21-2-1-122−3i3i−3i3i−ζ2−2ζ62ζ2+ζ6ζ2+2ζ6−2ζ2−ζ6−ζ2−2ζ62ζ2+ζ6ζ2+2ζ6−2ζ2−ζ6−2ζ72ζ7−2ζ32ζ3−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ−2ζ52ζ5−2ζ2ζ00−22−220000ζ7−ζ7ζ3−ζ3ζ7−ζ7ζ3−ζ3ζ5−ζ5ζ−ζζ5−ζ5ζ−ζ000000000000000000
χ6144-4-400−2222−22221-21-2-1-1223i−3i3i−3i−2ζ2−ζ6ζ2+2ζ62ζ2+ζ6−ζ2−2ζ6−2ζ2−ζ6ζ2+2ζ62ζ2+ζ6−ζ2−2ζ62ζ5−2ζ5−2ζ2ζ2ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3−2ζ72ζ72ζ3−2ζ3002−22−20000−ζ5ζ5ζ−ζ−ζ5ζ5ζ−ζζ7−ζ7−ζ3ζ3ζ7−ζ7−ζ3ζ3000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.