Finite Group Databasebeta

← Group #13149984

Character table — Group #13149984

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222233444446668812122244444668888812121216162424224444466888881212121616242422444446688888121212161624242244444668888812121216162424991818181818272736363636365454547272108108
order123468844441224242881212223631262424121212121224246242412126691893618727236363636367272187272363618189189361872723636363636727218727236361818918936187272363636363672721872723636181822646884444122424288121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1
χ31111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-1
χ41111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-111
χ511111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-1
χ611111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-11
χ711111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-11
χ811111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-1
χ9222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000
χ10222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000
χ1122-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-100
χ1222-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-10001100
χ1322-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-1100
χ1422-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-100
χ152-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i20000
χ162-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i20000
χ172-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i20000
χ182-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i20000
χ1944-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-20000002000000000
χ204-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−220000000
χ214-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−20000000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ23111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ241111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111
χ251111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-111111-1-1
χ2611111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-1-1-1-1-1-111-1-1-11-111-111-11-11
χ2711111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-11-1-1-1-1-111-1-11-1-111-1111-11-1
χ2811111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-11-1-1-1-1-11111-11-1111-1-1-111-1
χ2911111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-1-1-1-1-1-111111-1-1111-1-11-1-11
χ30222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000-2-2-22-200-2-2002002000000
χ31222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000-2-2-22-2002200200-2000000
χ3222-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-100-2-21-21-2-200-2-21110001100
χ3322-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-10001100-2-21-21-2-20022111000-1-100
χ3422-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-1100-2-21-212200-221-1-10001-100
χ3522-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-100-2-21-2122002-21-1-1000-1100
χ362-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i20000-22-202−22−2i2i000−220−i2i20000
χ372-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i20000-22-202−222i−2i000−220i2−i20000
χ382-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i20000-22-2022−2−2i2i0002−20i2−i20000
χ392-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i20000-22-2022−22i−2i0002−20−i2i20000
χ4044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-20000002000000000-4-4242000000-2000000000
χ414-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−220000000-4420-2−2222000002−20000000
χ424-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−20000000-4420-222−2200000−220000000
χ43222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ44222222222-2-2222222-2-2-2-2222222222-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111000000000000000000000
χ452222222-2-222222-2-2-222-2-22222222-2-222222-2-2-222-2-2-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111000000000000000000000
χ462222222-2-2-2-2222-2-2-2-2-2222222222-2-2-2-2222-2-2-2-2-222-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1000000000000000000000
χ4722222-2-2222-22-2-22-2-22-22-222222-2-2222-22-2-22-2-22-22-2-1-1-1-1-111-1-1-11-111-111-11-11-1-1-1-1-111-1-1-11-111-111-11-11-1-1-1-1-111-1-1-11-111-111-11-11000000000000000000000
χ4822222-2-222-222-2-22-2-2-22-2222222-2-222-222-2-22-2-2-22-22-1-1-1-1-111-1-11-1-111-1111-11-1-1-1-1-1-111-1-11-1-111-1111-11-1-1-1-1-1-111-1-11-1-111-1111-11-1000000000000000000000
χ4922222-2-2-2-22-22-2-2-2222-2-2222222-2-2-2-22-22-2-2-2222-2-22-1-1-1-1-11111-11-1111-1-1-111-1-1-1-1-1-11111-11-1111-1-1-111-1-1-1-1-1-11111-11-1111-1-1-111-1000000000000000000000
χ5022222-2-2-2-2-222-2-2-222-222-222222-2-2-2-2-222-2-2-222-222-2-1-1-1-1-111111-1-1111-1-11-1-11-1-1-1-1-111111-1-1111-1-11-1-11-1-1-1-1-111111-1-1111-1-11-1-11000000000000000000000
χ51444-44004400-400-4000000444-44004400-400-4000000-2-2-22-200-2-2002002000000-2-2-22-200-2-2002002000000-2-2-22-200-2-2002002000000000000000000000000000
χ52444-4400-4-400-4004000000444-4400-4-400-4004000000-2-2-22-2002200200-2000000-2-2-22-2002200200-2000000-2-2-22-2002200200-2000000000000000000000000000
χ5344-24-2440044-2-2-2000-2-20044-24-2440044-2-2-2000-2-200-2-21-21-2-200-2-21110001100-2-21-21-2-200-2-21110001100-2-21-21-2-200-2-21110001100000000000000000000000
χ5444-24-24400-4-4-2-2-2000220044-24-24400-4-4-2-2-20002200-2-21-21-2-20022111000-1-100-2-21-21-2-20022111000-1-100-2-21-21-2-20022111000-1-100000000000000000000000
χ5544-24-2-4-4004-4-222000-220044-24-2-4-4004-4-222000-2200-2-21-212200-221-1-10001-100-2-21-212200-221-1-10001-100-2-21-212200-221-1-10001-100000000000000000000000
χ5644-24-2-4-400-44-2220002-20044-24-2-4-400-44-2220002-200-2-21-2122002-21-1-1000-1100-2-21-2122002-21-1-1000-1100-2-21-2122002-21-1-1000-1100000000000000000000000
χ574-440-422−224i−4i00022−2202i2−2i200004-440-422−224i−4i00022−2202i2−2i20000-22-202−22−2i2i000−220−i2i20000-22-202−22−2i2i000−220−i2i20000-22-202−22−2i2i000−220−i2i20000000000000000000000000
χ584-440-422−22−4i4i00022−220−2i22i200004-440-422−22−4i4i00022−220−2i22i20000-22-202−222i−2i000−220i2−i20000-22-202−222i−2i000−220i2−i20000-22-202−222i−2i000−220i2−i20000000000000000000000000
χ594-440-4−22224i−4i000−22220−2i22i200004-440-4−22224i−4i000−22220−2i22i20000-22-2022−2−2i2i0002−20i2−i20000-22-2022−2−2i2i0002−20i2−i20000-22-2022−2−2i2i0002−20i2−i20000000000000000000000000
χ604-440-4−2222−4i4i000−222202i2−2i200004-440-4−2222−4i4i000−222202i2−2i20000-22-2022−22i−2i0002−20−i2i20000-22-2022−22i−2i0002−20−i2i20000-22-2022−22i−2i0002−20−i2i20000000000000000000000000
χ6188-4-8-4000000400000000088-4-8-40000004000000000-4-4242000000-2000000000-4-4242000000-2000000000-4-4242000000-2000000000000000000000000000000
χ628-8-40442−4200000−222200000008-8-40442−4200000−22220000000-4420-2−2222000002−20000000-4420-2−2222000002−20000000-4420-2−2222000002−20000000000000000000000000000
χ638-8-404−42420000022−2200000008-8-404−42420000022−220000000-4420-222−2200000−220000000-4420-222−2200000−220000000-4420-222−2200000−220000000000000000000000000000
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χ11322222-2-2-2-2-222-2-2-222-222-2-1-1-1-1-111111-1-1111-1-11-1-11−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68000000000000000000000
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χ115444-4400-4-400-4004000000-2-2-22-2002200200-2000000−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ68002ζ4+2ζ682ζ4+2ζ68002ζ4+2ζ6800−2ζ4−2ζ680000002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ5200−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200−2ζ4+2ζ44−2ζ52002ζ4−2ζ44+2ζ520000002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ6800−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800−2ζ44+2ζ52−2ζ68002ζ44−2ζ52+2ζ68000000000000000000000000000
χ11644-24-2440044-2-2-2000-2-200-2-21-21-2-200-2-21110001100−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68−2ζ4−2ζ6800−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000ζ4+ζ68ζ4+ζ68002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800000000000000000000000
χ11744-24-24400-4-4-2-2-20002200-2-21-21-2-20022111000-1-100−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68−2ζ4−2ζ68002ζ4+2ζ682ζ4+2ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000−ζ4−ζ68−ζ4−ζ68002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000ζ4−ζ44+ζ52ζ4−ζ44+ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000000000000000000
χ11844-24-2-4-4004-4-222000-2200-2-21-212200-221-1-10001-100−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ682ζ4+2ζ682ζ4+2ζ6800−2ζ4−2ζ682ζ4+2ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68000ζ4+ζ68−ζ4−ζ68002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52000−ζ4+ζ44−ζ52ζ4−ζ44+ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800000000000000000000000
χ11944-24-2-4-400-44-2220002-200-2-21-2122002-21-1-1000-1100−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ682ζ4+2ζ682ζ4+2ζ68002ζ4+2ζ68−2ζ4−2ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68000−ζ4−ζ68ζ4+ζ68002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52000ζ4−ζ44+ζ52−ζ4+ζ44−ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800000000000000000000000
χ1204-440-422−224i−4i00022−2202i2−2i20000-22-202−22−2i2i000−220−i2i20000−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ6802ζ4+2ζ68−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ31−2ζ14−2ζ222ζ14+2ζ22000−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ310−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ3100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520−2ζ4+2ζ44−2ζ52−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ712ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70000−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ710ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ7100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680−2ζ44+2ζ52−2ζ68ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ712ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70000ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ710ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ710000000000000000000000000
χ1214-440-422−22−4i4i00022−220−2i22i20000-22-202−222i−2i000−220i2−i20000−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ6802ζ4+2ζ68−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ312ζ14+2ζ22−2ζ14−2ζ22000−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ310ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ3100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520−2ζ4+2ζ44−2ζ52−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70000−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ710−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ7100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680−2ζ44+2ζ52−2ζ68ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70000ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ710−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ710000000000000000000000000
χ1224-440-4−22224i−4i000−22220−2i22i20000-22-2022−2−2i2i0002−20i2−i20000−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ6802ζ4+2ζ68ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ31−2ζ14−2ζ222ζ14+2ζ22000ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ310ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ3100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520−2ζ4+2ζ44−2ζ52ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ712ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70000ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ710−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ7100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680−2ζ44+2ζ52−2ζ68−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ712ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70000−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ710−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ710000000000000000000000000
χ1234-440-4−2222−4i4i000−222202i2−2i20000-22-2022−22i−2i0002−20−i2i20000−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ6802ζ4+2ζ68ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ312ζ14+2ζ22−2ζ14−2ζ22000ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ310−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ3100002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520−2ζ4+2ζ44−2ζ52ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70000ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ710ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ7100002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680−2ζ44+2ζ52−2ζ68−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70000−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ710ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ710000000000000000000000000
χ12488-4-8-40000004000000000-4-4242000000-2000000000−4ζ4−4ζ68−4ζ4−4ζ682ζ4+2ζ684ζ4+4ζ682ζ4+2ζ68000000−2ζ4−2ζ680000000004ζ4−4ζ44+4ζ524ζ4−4ζ44+4ζ52−2ζ4+2ζ44−2ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ520000002ζ4−2ζ44+2ζ520000000004ζ44−4ζ52+4ζ684ζ44−4ζ52+4ζ68−2ζ44+2ζ52−2ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ680000002ζ44−2ζ52+2ζ68000000000000000000000000000000
χ1258-8-40442−4200000−22220000000-4420-2−2222000002−20000000−4ζ4−4ζ684ζ4+4ζ682ζ4+2ζ680−2ζ4−2ζ68−2ζ5−2ζ13+2ζ23+2ζ312ζ5+2ζ13−2ζ23−2ζ3100000ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ3100000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ5202ζ4−2ζ44+2ζ52−2ζ7+2ζ13−2ζ31−2ζ53+2ζ61+2ζ712ζ7−2ζ13+2ζ31+2ζ53−2ζ61−2ζ7100000ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ7100000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ6802ζ44−2ζ52+2ζ682ζ5+2ζ7−2ζ23+2ζ53−2ζ61−2ζ71−2ζ5−2ζ7+2ζ23−2ζ53+2ζ61+2ζ7100000−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ710000000000000000000000000000
χ1268-8-404−42420000022−220000000-4420-222−2200000−220000000−4ζ4−4ζ684ζ4+4ζ682ζ4+2ζ680−2ζ4−2ζ682ζ5+2ζ13−2ζ23−2ζ31−2ζ5−2ζ13+2ζ23+2ζ3100000−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ3100000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ5202ζ4−2ζ44+2ζ522ζ7−2ζ13+2ζ31+2ζ53−2ζ61−2ζ71−2ζ7+2ζ13−2ζ31−2ζ53+2ζ61+2ζ7100000−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ7100000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ6802ζ44−2ζ52+2ζ68−2ζ5−2ζ7+2ζ23−2ζ53+2ζ61+2ζ712ζ5+2ζ7−2ζ23+2ζ53−2ζ61−2ζ7100000ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ710000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.