Finite Group Databasebeta

← Group #72230972

Character table — Group #72230972

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size122224444444445101010104545488881616161616161616162040404040180180510101010202020202020202020255050505022522551010101020202020202020202025505050502252255101010102020202020202020202550505050225225
order1333351515151515151515266664451515151551515151515151515103030303020202666610303030303030303026666444121212122060606060606060604121212124441212121220606060606060606041212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-1
χ311111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i
χ411111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii
χ522-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-100
χ622-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-211100
χ72-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-100
χ82-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-21100
χ92-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-100
χ102-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-2100
χ112-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-1200
χ122-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-200
χ1344444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-10000000
χ1444-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000
χ1544-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000
χ164-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i1520000000
χ174-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i1520000000
χ184-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i1520000000
χ194-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i1520000000
χ204-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-10000000
χ214-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-10000000
χ22111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ231111111111111111111-1-11111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ2411111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−ii
χ2511111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111i−i
χ2622-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-100-2-2111-2-2-2111111-2-211100-2-2111-2-2-2111111-2-211100
χ2722-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-211100-2-2111-2-2-211111122-1-1-100-2-2111-2-2-211111122-1-1-100
χ282-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-100-21-211-211-2-21111-21-21100-21-211-211-2-21111-21-21100
χ292-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-21100-21-211-211-2-211112-12-1-100-21-211-211-2-211112-12-1-100
χ302-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-100-211-21-21111-2-211-211-2100-211-21-21111-2-211-211-2100
χ312-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-2100-211-21-21111-2-2112-1-12-100-211-21-21111-2-2112-1-12-100
χ322-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-1200-2111-2-2111111-2-2-2111-200-2111-2-2111111-2-2-2111-200
χ332-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-200-2111-2-2111111-2-22-1-1-1200-2111-2-2111111-2-22-1-1-1200
χ3444444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-10000000-4-4-4-4-41111111110000000-4-4-4-4-41111111110000000
χ3544-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000-4-4222111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000-4-4222111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000
χ3644-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000-4-4222111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000-4-4222111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000
χ374-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i1520000000-42-4221−1+i152−1−i15211−1+i152−1−i152−1−i152−1+i1520000000-42-4221−1+i152−1−i15211−1+i152−1−i152−1−i152−1+i1520000000
χ384-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i1520000000-42-4221−1−i152−1+i15211−1−i152−1+i152−1+i152−1−i1520000000-42-4221−1−i152−1+i15211−1−i152−1+i152−1+i152−1−i1520000000
χ394-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i1520000000-422-421−1+i152−1−i152−1−i152−1+i15211−1+i152−1−i1520000000-422-421−1+i152−1−i152−1−i152−1+i15211−1+i152−1−i1520000000
χ404-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i1520000000-422-421−1−i152−1+i152−1+i152−1−i15211−1−i152−1+i1520000000-422-421−1−i152−1+i152−1+i152−1−i15211−1−i152−1+i1520000000
χ414-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-10000000-4222-41−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152110000000-4222-41−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152110000000
χ424-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-10000000-4222-41−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152110000000-4222-41−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152110000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ441111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii
χ4511111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−iiiiiiiiiiiiiiii−i−i−i−i−i-11−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii1-1
χ4611111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-111111i−iiiiiiiiiiiiiii−i−i−i−i−i1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii-11
χ4722-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-100-2-2111-2-2-2111111-2-2111002i2i−i−i−i2i2i2i−i−i−i−i−i−i2i2i−i−i−i00−2i−2iiii−2i−2i−2iiiiiii−2i−2iiii00
χ4822-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-211100-2-2111-2-2-211111122-1-1-1002i2i−i−i−i2i2i2i−i−i−i−i−i−i−2i−2iiii00−2i−2iiii−2i−2i−2iiiiiii2i2i−i−i−i00
χ492-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-100-21-211-211-2-21111-21-211002i−i2i−i−i2i−i−i2i2i−i−i−i−i2i−i2i−i−i00−2ii−2iii−2iii−2i−2iiiii−2ii−2iii00
χ502-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-21100-21-211-211-2-211112-12-1-1002i−i2i−i−i2i−i−i2i2i−i−i−i−i−2ii−2iii00−2ii−2iii−2iii−2i−2iiiii2i−i2i−i−i00
χ512-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-100-211-21-21111-2-211-211-21002i−i−i2i−i2i−i−i−i−i2i2i−i−i2i−i−i2i−i00−2iii−2ii−2iiiii−2i−2iii−2iii−2ii00
χ522-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-2100-211-21-21111-2-2112-1-12-1002i−i−i2i−i2i−i−i−i−i2i2i−i−i−2iii−2ii00−2iii−2ii−2iiiii−2i−2iii2i−i−i2i−i00
χ532-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-1200-2111-2-2111111-2-2-2111-2002i−i−i−i2i2i−i−i−i−i−i−i2i2i2i−i−i−i2i00−2iiii−2i−2iiiiiii−2i−2i−2iiii−2i00
χ542-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-200-2111-2-2111111-2-22-1-1-12002i−i−i−i2i2i−i−i−i−i−i−i2i2i−2iiii−2i00−2iiii−2i−2iiiiiii−2i−2i2i−i−i−i2i00
χ5544444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-10000000-4-4-4-4-411111111100000004i4i4i4i4i−i−i−i−i−i−i−i−i−i0000000−4i−4i−4i−4i−4iiiiiiiiii0000000
χ5644-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000-4-4222111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000004i4i−2i−2i−2i−i−i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000−4i−4i2i2i2iiii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000000
χ5744-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000-4-4222111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000004i4i−2i−2i−2i−i−i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000−4i−4i2i2i2iiii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000000
χ584-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i1520000000-42-4221−1+i152−1−i15211−1+i152−1−i152−1−i152−1+i15200000004i−2i4i−2i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000−4i2i−4i2i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000000
χ594-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i1520000000-42-4221−1−i152−1+i15211−1−i152−1+i152−1+i152−1−i15200000004i−2i4i−2i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000−4i2i−4i2i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000000
χ604-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i1520000000-422-421−1+i152−1−i152−1−i152−1+i15211−1+i152−1−i15200000004i−2i−2i4i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000−4i2i2i−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000000
χ614-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i1520000000-422-421−1−i152−1+i152−1+i152−1−i15211−1−i152−1+i15200000004i−2i−2i4i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000−4i2i2i−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000000
χ624-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-10000000-4222-41−1+i152−1−i152−1+i152−1−i152−1−i152−1+i1521100000004i−2i−2i−2i4i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−i−i0000000−4i2i2i2i−4ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ii0000000
χ634-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-10000000-4222-41−1−i152−1+i152−1−i152−1+i152−1+i152−1−i1521100000004i−2i−2i−2i4i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−i−i0000000−4i2i2i2i−4ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ii0000000
χ64111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiii
χ651111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiii−i−i
χ6611111111111111-1-1-1-1-1i−i11111111111111-1-1-1-1-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−ii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii1-1iiiiiiiiiiiiii−i−i−i−i−i-11
χ6711111111111111-1-1-1-1-1−ii11111111111111-1-1-1-1-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-111111i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii-11iiiiiiiiiiiiii−i−i−i−i−i1-1
χ6822-1-1-1222-1-1-1-1-1-122-1-1-10022-1-1-1222-1-1-1-1-1-122-1-1-100-2-2111-2-2-2111111-2-211100−2i−2iiii−2i−2i−2iiiiiii−2i−2iiii002i2i−i−i−i2i2i2i−i−i−i−i−i−i2i2i−i−i−i00
χ6922-1-1-1222-1-1-1-1-1-1-2-21110022-1-1-1222-1-1-1-1-1-1-2-211100-2-2111-2-2-211111122-1-1-100−2i−2iiii−2i−2i−2iiiiiii2i2i−i−i−i002i2i−i−i−i2i2i2i−i−i−i−i−i−i−2i−2iiii00
χ702-12-1-12-1-122-1-1-1-12-12-1-1002-12-1-12-1-122-1-1-1-12-12-1-100-21-211-211-2-21111-21-21100−2ii−2iii−2iii−2i−2iiiii−2ii−2iii002i−i2i−i−i2i−i−i2i2i−i−i−i−i2i−i2i−i−i00
χ712-12-1-12-1-122-1-1-1-1-21-211002-12-1-12-1-122-1-1-1-1-21-21100-21-211-211-2-211112-12-1-100−2ii−2iii−2iii−2i−2iiiii2i−i2i−i−i002i−i2i−i−i2i−i−i2i2i−i−i−i−i−2ii−2iii00
χ722-1-12-12-1-1-1-122-1-12-1-12-1002-1-12-12-1-1-1-122-1-12-1-12-100-211-21-21111-2-211-211-2100−2iii−2ii−2iiiii−2i−2iii−2iii−2ii002i−i−i2i−i2i−i−i−i−i2i2i−i−i2i−i−i2i−i00
χ732-1-12-12-1-1-1-122-1-1-211-21002-1-12-12-1-1-1-122-1-1-211-2100-211-21-21111-2-2112-1-12-100−2iii−2ii−2iiiii−2i−2iii2i−i−i2i−i002i−i−i2i−i2i−i−i−i−i2i2i−i−i−2iii−2ii00
χ742-1-1-122-1-1-1-1-1-1222-1-1-12002-1-1-122-1-1-1-1-1-1222-1-1-1200-2111-2-2111111-2-2-2111-200−2iiii−2i−2iiiiiii−2i−2i−2iiii−2i002i−i−i−i2i2i−i−i−i−i−i−i2i2i2i−i−i−i2i00
χ752-1-1-122-1-1-1-1-1-122-2111-2002-1-1-122-1-1-1-1-1-122-2111-200-2111-2-2111111-2-22-1-1-1200−2iiii−2i−2iiiiiii−2i−2i2i−i−i−i2i002i−i−i−i2i2i−i−i−i−i−i−i2i2i−2iiii−2i00
χ7644444-1-1-1-1-1-1-1-1-1000000044444-1-1-1-1-1-1-1-1-10000000-4-4-4-4-41111111110000000−4i−4i−4i−4i−4iiiiiiiiii00000004i4i4i4i4i−i−i−i−i−i−i−i−i−i0000000
χ7744-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000044-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000-4-4222111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000−4i−4i2i2i2iiii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700000004i4i−2i−2i−2i−i−i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000
χ7844-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000044-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000-4-4222111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000−4i−4i2i2i2iiii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900000004i4i−2i−2i−2i−i−i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000
χ794-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i15200000004-24-2-2-11−i1521+i152-1-11−i1521+i1521+i1521−i1520000000-42-4221−1+i152−1−i15211−1+i152−1−i152−1−i152−1+i1520000000−4i2i−4i2i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900000004i−2i4i−2i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000
χ804-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i15200000004-24-2-2-11+i1521−i152-1-11+i1521−i1521−i1521+i1520000000-42-4221−1−i152−1+i15211−1−i152−1+i152−1+i152−1−i1520000000−4i2i−4i2i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700000004i−2i4i−2i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000
χ814-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i15200000004-2-24-2-11−i1521+i1521+i1521−i152-1-11−i1521+i1520000000-422-421−1+i152−1−i152−1−i152−1+i15211−1+i152−1−i1520000000−4i2i2i−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700000004i−2i−2i4i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000
χ824-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i15200000004-2-24-2-11+i1521−i1521−i1521+i152-1-11+i1521−i1520000000-422-421−1−i152−1+i152−1+i152−1−i15211−1−i152−1+i1520000000−4i2i2i−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900000004i−2i−2i4i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000
χ834-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-100000004-2-2-24-11−i1521+i1521−i1521+i1521+i1521−i152-1-10000000-4222-41−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152110000000−4i2i2i2i−4ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ii00000004i−2i−2i−2i4i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−i−i0000000
χ844-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-100000004-2-2-24-11+i1521−i1521+i1521−i1521−i1521+i152-1-10000000-4222-41−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152110000000−4i2i2i2i−4ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ii00000004i−2i−2i−2i4i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−i−i0000000
χ85444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ864444444444444444444-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111000000000000000000000000000000000000000000000000000000000000000
χ8744444444444444-4-4-4-4-44i−4i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−ii000000000000000000000000000000000000000000000000000000000000000
χ8844444444444444-4-4-4-4-4−4i4i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111i−i000000000000000000000000000000000000000000000000000000000000000
χ8988-4-4-4888-4-4-4-4-4-488-4-4-400-2-2111-2-2-2111111-2-211100000000000000000000000000000000000000000000000000000000000000000
χ9088-4-4-4888-4-4-4-4-4-4-8-844400-2-2111-2-2-211111122-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ918-48-4-48-4-488-4-4-4-48-48-4-400-21-211-211-2-21111-21-21100000000000000000000000000000000000000000000000000000000000000000
χ928-48-4-48-4-488-4-4-4-4-84-84400-21-211-211-2-211112-12-1-100000000000000000000000000000000000000000000000000000000000000000
χ938-4-48-48-4-4-4-488-4-48-4-48-400-211-21-21111-2-211-211-2100000000000000000000000000000000000000000000000000000000000000000
χ948-4-48-48-4-4-4-488-4-4-844-8400-211-21-21111-2-2112-1-12-100000000000000000000000000000000000000000000000000000000000000000
χ958-4-4-488-4-4-4-4-4-4888-4-4-4800-2111-2-2111111-2-2-2111-200000000000000000000000000000000000000000000000000000000000000000
χ968-4-4-488-4-4-4-4-4-488-8444-800-2111-2-2111111-2-22-1-1-1200000000000000000000000000000000000000000000000000000000000000000
χ971616161616-4-4-4-4-4-4-4-4-40000000-4-4-4-4-41111111110000000000000000000000000000000000000000000000000000000000000000000000
χ981616-8-8-8-4-4-42−2i152+2i152−2i152+2i152−2i152+2i150000000-4-4222111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000000000000000000000000000000000000000000
χ991616-8-8-8-4-4-42+2i152−2i152+2i152−2i152+2i152−2i150000000-4-4222111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000000000000000000000000000000000000000000
χ10016-816-8-8-42−2i152+2i15-4-42−2i152+2i152+2i152−2i150000000-42-4221−1+i152−1−i15211−1+i152−1−i152−1−i152−1+i1520000000000000000000000000000000000000000000000000000000000000000000000
χ10116-816-8-8-42+2i152−2i15-4-42+2i152−2i152−2i152+2i150000000-42-4221−1−i152−1+i15211−1−i152−1+i152−1+i152−1−i1520000000000000000000000000000000000000000000000000000000000000000000000
χ10216-8-816-8-42−2i152+2i152+2i152−2i15-4-42−2i152+2i150000000-422-421−1+i152−1−i152−1−i152−1+i15211−1+i152−1−i1520000000000000000000000000000000000000000000000000000000000000000000000
χ10316-8-816-8-42+2i152−2i152−2i152+2i15-4-42+2i152−2i150000000-422-421−1−i152−1+i152−1+i152−1−i15211−1−i152−1+i1520000000000000000000000000000000000000000000000000000000000000000000000
χ10416-8-8-816-42−2i152+2i152−2i152+2i152+2i152−2i15-4-40000000-4222-41−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152110000000000000000000000000000000000000000000000000000000000000000000000
χ10516-8-8-816-42+2i152−2i152+2i152−2i152−2i152+2i15-4-40000000-4222-41−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152110000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.