Finite Group Databasebeta

← Group #11778439

Character table — Group #11778439

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222244444488888888888888812121616242424242424241111222222444444888888888888888121216162424242424242411112222224444448888888888888881212161624242424242424
order12222236664466121224448812121212122424242422612244448836666636661212661212612121224241212121212242424246661261212121224243666663666121266121261212122424121212121224242424666126121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-1-1-1-1-11111111111111111111111111111111-1-111-1-1-1-1-1-1-11111111111111111111111111111111-1-111-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-11111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-11111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-11111
χ51111111111111111-1-111-1-111111-1-1-1-111-1-1-11-111-1-11111111111111111-1-111-1-111111-1-1-1-111-1-1-11-111-1-11111111111111111-1-111-1-111111-1-1-1-111-1-1-11-111-1-1
χ61111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11-11-1-1111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11-11-1-1111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11-11-1-111
χ71111111111111111-1-1-1-1111-1-1-1-1111111-1-1-11-1-1-1111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-11-1-1-1111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-11-1-1-111
χ81111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1111-1-11111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1111-1-11111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1111-1-1
χ92222222222-2-222-2-2000000-20000000022000-2000002222222222-2-222-2-2000000-20000000022000-2000002222222222-2-222-2-2000000-20000000022000-200000
χ102222222222-2-222-2-2000000-200000000-2-20002000002222222222-2-222-2-2000000-200000000-2-20002000002222222222-2-222-2-2000000-200000000-2-2000200000
χ11222222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-100-1-10000000222222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-100-1-10000000222222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-100-1-10000000
χ12222222-1-1-1-122-1-1-1-122-2-2-2-2-11111111100-1-10000000222222-1-1-1-122-1-1-1-122-2-2-2-2-11111111100-1-10000000222222-1-1-1-122-1-1-1-122-2-2-2-2-11111111100-1-10000000
χ13222222-1-1-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1111100110000000222222-1-1-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1111100110000000222222-1-1-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1111100110000000
χ14222222-1-1-1-122-1-1-1-1-2-2-2-222-11111-1-1-1-100110000000222222-1-1-1-122-1-1-1-1-2-2-2-222-11111-1-1-1-100110000000222222-1-1-1-122-1-1-1-1-2-2-2-222-11111-1-1-1-100110000000
χ152222-2-222222-2-2-222000000-200000000000020-200002222-2-222222-2-2-222000000-200000000000020-200002222-2-222222-2-2-222000000-200000000000020-20000
χ162222-2-222222-2-2-222000000-2000000000000-20200002222-2-222222-2-2-222000000-2000000000000-20200002222-2-222222-2-2-222000000-2000000000000-2020000
χ172222-2-22222-22-2-2-2-22-20000200000000002-200000002222-2-22222-22-2-2-2-22-20000200000000002-200000002222-2-22222-22-2-2-2-22-20000200000000002-20000000
χ182222-2-22222-22-2-2-2-2-22000020000000000-2200000002222-2-22222-22-2-2-2-2-22000020000000000-2200000002222-2-22222-22-2-2-2-2-22000020000000000-220000000
χ192222-2-2-1-1-1-1-2211112-20000-133−3−333−3−300-1100000002222-2-2-1-1-1-1-2211112-20000-133−3−333−3−300-1100000002222-2-2-1-1-1-1-2211112-20000-133−3−333−3−300-110000000
χ202222-2-2-1-1-1-1-2211112-20000-1−3−333−3−33300-1100000002222-2-2-1-1-1-1-2211112-20000-1−3−333−3−33300-1100000002222-2-2-1-1-1-1-2211112-20000-1−3−333−3−33300-110000000
χ212222-2-2-1-1-1-1-221111-220000-133−3−3−3−333001-100000002222-2-2-1-1-1-1-221111-220000-133−3−3−3−333001-100000002222-2-2-1-1-1-1-221111-220000-133−3−3−3−333001-10000000
χ222222-2-2-1-1-1-1-221111-220000-1−3−33333−3−3001-100000002222-2-2-1-1-1-1-221111-220000-1−3−33333−3−3001-100000002222-2-2-1-1-1-1-221111-220000-1−3−33333−3−3001-10000000
χ232-2-22-222-22-200-220000002−2000002−22−22-200000002−22-2-22-222-22-200-220000002−2000002−22−22-200000002−22-2-22-222-22-200-220000002−2000002−22−22-200000002−2
χ242-2-22-222-22-200-220000002−2000002−22−2-220000000−222-2-22-222-22-200-220000002−2000002−22−2-220000000−222-2-22-222-22-200-220000002−2000002−22−2-220000000−22
χ252-2-22-222-22-200-22000000−2200000−22−222-20000000−222-2-22-222-22-200-22000000−2200000−22−222-20000000−222-2-22-222-22-200-22000000−2200000−22−222-20000000−22
χ262-2-22-222-22-200-22000000−2200000−22−22-2200000002−22-2-22-222-22-200-22000000−2200000−22−22-2200000002−22-2-22-222-22-200-22000000−2200000−22−22-2200000002−2
χ27444444-2-2-2-2-4-4-2-22200000020000000000000000000444444-2-2-2-2-4-4-2-22200000020000000000000000000444444-2-2-2-2-4-4-2-22200000020000000000000000000
χ284444-4-4-2-2-2-24-422-2-2000000200000000000000000004444-4-4-2-2-2-24-422-2-2000000200000000000000000004444-4-4-2-2-2-24-422-2-200000020000000000000000000
χ2944-4-4004-4-4400000000000000000000000000002i−2i0044-4-4004-4-4400000000000000000000000000002i−2i0044-4-4004-4-4400000000000000000000000000002i−2i00
χ3044-4-4004-4-440000000000000000000000000000−2i2i0044-4-4004-4-440000000000000000000000000000−2i2i0044-4-4004-4-440000000000000000000000000000−2i2i00
χ314-44-40044-4-4000000002i−2i0002i−2i2i−2i0000000000000004-44-40044-4-4000000002i−2i0002i−2i2i−2i0000000000000004-44-40044-4-4000000002i−2i0002i−2i2i−2i000000000000000
χ324-44-40044-4-400000000−2i2i000−2i2i−2i2i0000000000000004-44-40044-4-400000000−2i2i000−2i2i−2i2i0000000000000004-44-40044-4-400000000−2i2i000−2i2i−2i2i000000000000000
χ334-44-400-2-222000023−23002i−2i000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ220000000000000004-44-400-2-222000023−23002i−2i000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ220000000000000004-44-400-2-222000023−23002i−2i000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22000000000000000
χ344-44-400-2-222000023−2300−2i2i000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ220000000000000004-44-400-2-222000023−2300−2i2i000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ220000000000000004-44-400-2-222000023−2300−2i2i000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22000000000000000
χ354-44-400-2-2220000−2323002i−2i000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220000000000000004-44-400-2-2220000−2323002i−2i000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220000000000000004-44-400-2-2220000−2323002i−2i000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22000000000000000
χ364-44-400-2-2220000−232300−2i2i000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ220000000000000004-44-400-2-2220000−232300−2i2i000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ220000000000000004-44-400-2-2220000−232300−2i2i000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22000000000000000
χ374-4-444-44-44-4004-400000000000000000000000000004-4-444-44-44-4004-400000000000000000000000000004-4-444-44-44-4004-40000000000000000000000000000
χ384-4-444-4-22-2200-2200000000000006−6−66000000000004-4-444-4-22-2200-2200000000000006−6−66000000000004-4-444-4-22-2200-2200000000000006−6−6600000000000
χ394-4-444-4-22-2200-220000000000000−666−6000000000004-4-444-4-22-2200-220000000000000−666−6000000000004-4-444-4-22-2200-220000000000000−666−600000000000
χ404-4-44-44-22-22002-200000022−2200000−22−22000000000004-4-44-44-22-22002-200000022−2200000−22−22000000000004-4-44-44-22-22002-200000022−2200000−22−2200000000000
χ414-4-44-44-22-22002-2000000−2222000002−22−2000000000004-4-44-44-22-22002-2000000−2222000002−22−2000000000004-4-44-44-22-22002-2000000−2222000002−22−200000000000
χ4288-8-800-444-40000000000000000000000000000000088-8-800-444-40000000000000000000000000000000088-8-800-444-400000000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ441111111111111111111111111111111-1-111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ45111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ46111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111-1-111-1-111111-1-1-1-111-1-1-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ481111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ491111111111111111-1-1-1-1111-1-1-1-1111111-1-1-11-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32
χ501111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ512222222222-2-222-2-2000000-20000000022000-200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i300000000−1+i3−1+i30001−i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i300000000−1−i3−1−i30001+i300000
χ522222222222-2-222-2-2000000-200000000-2-2000200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i3000000001−i31−i3000−1+i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i3000000001+i31+i3000−1−i300000
χ53222222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-100-1-10000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i321−i320000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i321+i320000000
χ54222222-1-1-1-122-1-1-1-122-2-2-2-2-11111111100-1-10000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i321−i320000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i321+i320000000
χ55222222-1-1-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1111100110000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i32−1+i320000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i32−1−i320000000
χ56222222-1-1-1-122-1-1-1-1-2-2-2-222-11111-1-1-1-100110000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200−1+i32−1+i320000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200−1−i32−1−i320000000
χ572222-2-222222-2-2-222000000-200000000000020-20000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i3000000000000−1+i301−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i3000000000000−1−i301+i30000
χ582222-2-222222-2-2-222000000-2000000000000-2020000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i30000000000001−i30−1+i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i30000000000001+i30−1−i30000
χ592222-2-22222-22-2-2-2-22-20000200000000002-20000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i31−i30000−1+i30000000000−1+i31−i30000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i31+i30000−1−i30000000000−1−i31+i30000000
χ602222-2-22222-22-2-2-2-2-22000020000000000-220000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i3−1+i30000−1+i300000000001−i3−1+i30000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i3−1−i30000−1−i300000000001+i3−1−i30000000
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χ632222-2-2-1-1-1-1-221111-220000-133−3−3−3−333001-10000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i300001−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−1+i321−i320000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i300001+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−1−i321+i320000000
χ642222-2-2-1-1-1-1-221111-220000-1−3−33333−3−3001-10000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i300001−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−1+i321−i320000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i300001+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−1−i321+i320000000
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χ942222222222-2-222-2-2000000-200000000-2-2000200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i3000000001+i31+i3000−1−i300000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i3000000001−i31−i3000−1+i300000
χ95222222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-100-1-10000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i321+i320000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i321−i320000000
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χ97222222-1-1-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1111100110000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i32−1+i320000000
χ98222222-1-1-1-122-1-1-1-1-2-2-2-222-11111-1-1-1-100110000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200−1+i32−1+i320000000
χ992222-2-222222-2-2-222000000-200000000000020-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i3000000000000−1−i301+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i3000000000000−1+i301−i30000
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χ1012222-2-22222-22-2-2-2-22-20000200000000002-20000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i31+i30000−1−i30000000000−1−i31+i30000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i31−i30000−1+i30000000000−1+i31−i30000000
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χ1052222-2-2-1-1-1-1-221111-220000-133−3−3−3−333001-10000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i300001+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−1−i321+i320000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i300001−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−1+i321−i320000000
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χ1254-4-44-44-22-22002-2000000−2222000002−22−200000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−1−i31+i3−1−i300−1−i31+i30000002ζ7−2ζ13−2ζ7+2ζ1300000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−1+i31−i3−1+i300−1+i31−i3000000−2ζ5+2ζ232ζ5−2ζ2300000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000
χ12688-8-800-444-400000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−2−2i3−2−2i32+2i300000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−2+2i3−2+2i32−2i300000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.