Finite Group Databasebeta

← Group #11771920

Character table — Group #11771920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222224444888888888888888888824242424242424241111222222222244448888888888888888888242424242424242411112222222222444488888888888888888882424242424242424
order122222366666662244444446612121212121212121212121244448888366666366666666612121212121212661212121212121212121212121212121224242424366666366666666612121212121212661212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111ii−i−iii−i−i11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111ii−i−iii−i−i11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111ii−i−iii−i−i
χ611111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111−i−iii−i−iii11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111−i−iii−i−iii11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111−i−iii−i−iii
χ711111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii11111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii11111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii
χ811111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i11111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i11111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i
χ92222222222222222-2-2-2000022-2-20000-2-20000000000002222222222222222-2-2-2000022-2-20000-2-20000000000002222222222222222-2-2-2000022-2-20000-2-2000000000000
χ1022222222222222-2-222-20000-2-2220000-2-200000000000022222222222222-2-222-20000-2-2220000-2-200000000000022222222222222-2-222-20000-2-2220000-2-2000000000000
χ11222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ12222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-1-11111-1-1111100000000222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-1-11111-1-1111100000000222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-1-11111-1-1111100000000
χ13222222-1-1-1-1-1-1-1-122-2-2-20000-1-111−i3−i3i3i311−i3−i3i3i300000000222222-1-1-1-1-1-1-1-122-2-2-20000-1-111−i3−i3i3i311−i3−i3i3i300000000222222-1-1-1-1-1-1-1-122-2-2-20000-1-111−i3−i3i3i311−i3−i3i3i300000000
χ14222222-1-1-1-1-1-1-1-122-2-2-20000-1-111i3i3−i3−i311i3i3−i3−i300000000222222-1-1-1-1-1-1-1-122-2-2-20000-1-111i3i3−i3−i311i3i3−i3−i300000000222222-1-1-1-1-1-1-1-122-2-2-20000-1-111i3i3−i3−i311i3i3−i3−i300000000
χ15222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1−i3−i3i3i311i3i3−i3−i300000000222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1−i3−i3i3i311i3i3−i3−i300000000222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1−i3−i3i3i311i3i3−i3−i300000000
χ16222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1i3i3−i3−i311−i3−i3i3i300000000222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1i3i3−i3−i311−i3−i3i3i300000000222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1i3i3−i3−i311−i3−i3i3i300000000
χ17222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-211111111-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-211111111-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-211111111-1-1-1-1-1-100000000
χ18222222-1-1-1-1-1-1-1-1-2-2-2-22-2-2221111-1-1-1-1-1-1111100000000222222-1-1-1-1-1-1-1-1-2-2-2-22-2-2221111-1-1-1-1-1-1111100000000222222-1-1-1-1-1-1-1-1-2-2-2-22-2-2221111-1-1-1-1-1-1111100000000
χ1922-2-22-22222-2-2-2-22-200000002-200000000000000002−22−222-2-22-22222-2-2-2-22-200000002-200000000000000002−22−222-2-22-22222-2-2-2-22-200000002-200000000000000002−22−2
χ2022-2-22-22222-2-2-2-22-200000002-20000000000000000−22−2222-2-22-22222-2-2-2-22-200000002-20000000000000000−22−2222-2-22-22222-2-2-2-22-200000002-20000000000000000−22−22
χ2122-2-22-22222-2-2-2-2-220000000-220000000000000000−i2i2i2−i222-2-22-22222-2-2-2-2-220000000-220000000000000000−i2i2i2−i222-2-22-22222-2-2-2-2-220000000-220000000000000000−i2i2i2−i2
χ2222-2-22-22222-2-2-2-2-220000000-220000000000000000i2−i2−i2i222-2-22-22222-2-2-2-2-220000000-220000000000000000i2−i2−i2i222-2-22-22222-2-2-2-2-220000000-220000000000000000i2−i2−i2i2
χ2322-2-2-2222-2-222-2-2002i−2i00000002i−2i00000000001+i−1−i1−i−1+i000022-2-2-2222-2-222-2-2002i−2i00000002i−2i00000000001+i−1−i1−i−1+i000022-2-2-2222-2-222-2-2002i−2i00000002i−2i00000000001+i−1−i1−i−1+i0000
χ2422-2-2-2222-2-222-2-2002i−2i00000002i−2i0000000000−1−i1+i−1+i1−i000022-2-2-2222-2-222-2-2002i−2i00000002i−2i0000000000−1−i1+i−1+i1−i000022-2-2-2222-2-222-2-2002i−2i00000002i−2i0000000000−1−i1+i−1+i1−i0000
χ2522-2-2-2222-2-222-2-200−2i2i0000000−2i2i00000000001−i−1+i1+i−1−i000022-2-2-2222-2-222-2-200−2i2i0000000−2i2i00000000001−i−1+i1+i−1−i000022-2-2-2222-2-222-2-200−2i2i0000000−2i2i00000000001−i−1+i1+i−1−i0000
χ2622-2-2-2222-2-222-2-200−2i2i0000000−2i2i0000000000−1+i1−i−1−i1+i000022-2-2-2222-2-222-2-200−2i2i0000000−2i2i0000000000−1+i1−i−1−i1+i000022-2-2-2222-2-222-2-200−2i2i0000000−2i2i0000000000−1+i1−i−1−i1+i0000
χ274444-4-444-4-4-4-44400000000000000000000000000000004444-4-444-4-4-4-44400000000000000000000000000000004444-4-444-4-4-4-4440000000000000000000000000000000
χ284444-4-4-2-22222-2-200000000000000000−2i32i30000000000004444-4-4-2-22222-2-200000000000000000−2i32i30000000000004444-4-4-2-22222-2-200000000000000000−2i32i3000000000000
χ294444-4-4-2-22222-2-2000000000000000002i3−2i30000000000004444-4-4-2-22222-2-2000000000000000002i3−2i30000000000004444-4-4-2-22222-2-2000000000000000002i3−2i3000000000000
χ3044-4-44-4-2-2-2-222224-40000000-220000000000000000000044-4-44-4-2-2-2-222224-40000000-220000000000000000000044-4-44-4-2-2-2-222224-40000000-2200000000000000000000
χ3144-4-44-4-2-2-2-22222-4400000002-20000000000000000000044-4-44-4-2-2-2-22222-4400000002-20000000000000000000044-4-44-4-2-2-2-22222-4400000002-200000000000000000000
χ3244-4-4-44-2-222-2-222004i−4i0000000−2i2i00000000000000000044-4-4-44-2-222-2-222004i−4i0000000−2i2i00000000000000000044-4-4-44-2-222-2-222004i−4i0000000−2i2i000000000000000000
χ3344-4-4-44-2-222-2-22200−4i4i00000002i−2i00000000000000000044-4-4-44-2-222-2-22200−4i4i00000002i−2i00000000000000000044-4-4-44-2-222-2-22200−4i4i00000002i−2i000000000000000000
χ344-44-4004-400004-400000002i−2i00002i−2i2i−2i000000000000004-44-4004-400004-400000002i−2i00002i−2i2i−2i000000000000004-44-4004-400004-400000002i−2i00002i−2i2i−2i00000000000000
χ354-44-4004-400004-40000000−2i2i0000−2i2i−2i2i000000000000004-44-4004-400004-40000000−2i2i0000−2i2i−2i2i000000000000004-44-4004-400004-40000000−2i2i0000−2i2i−2i2i00000000000000
χ364-44-400-22−2i32i3−2i32i3-2200000002i−2i00002ζ14−2ζ142ζ22−2ζ22000000000000004-44-400-22−2i32i3−2i32i3-2200000002i−2i00002ζ14−2ζ142ζ22−2ζ22000000000000004-44-400-22−2i32i3−2i32i3-2200000002i−2i00002ζ14−2ζ142ζ22−2ζ2200000000000000
χ374-44-400-22−2i32i3−2i32i3-220000000−2i2i0000−2ζ142ζ14−2ζ222ζ22000000000000004-44-400-22−2i32i3−2i32i3-220000000−2i2i0000−2ζ142ζ14−2ζ222ζ22000000000000004-44-400-22−2i32i3−2i32i3-220000000−2i2i0000−2ζ142ζ14−2ζ222ζ2200000000000000
χ384-44-400-222i3−2i32i3−2i3-2200000002i−2i00002ζ22−2ζ222ζ14−2ζ14000000000000004-44-400-222i3−2i32i3−2i3-2200000002i−2i00002ζ22−2ζ222ζ14−2ζ14000000000000004-44-400-222i3−2i32i3−2i3-2200000002i−2i00002ζ22−2ζ222ζ14−2ζ1400000000000000
χ394-44-400-222i3−2i32i3−2i3-220000000−2i2i0000−2ζ222ζ22−2ζ142ζ14000000000000004-44-400-222i3−2i32i3−2i3-220000000−2i2i0000−2ζ222ζ22−2ζ142ζ14000000000000004-44-400-222i3−2i32i3−2i3-220000000−2i2i0000−2ζ222ζ22−2ζ142ζ1400000000000000
χ404-4-44004-40000-44000002-20000000000002-22-2000000004-4-44004-40000-44000002-20000000000002-22-2000000004-4-44004-40000-44000002-20000000000002-22-200000000
χ414-4-44004-40000-4400000-22000000000000-22-22000000004-4-44004-40000-4400000-22000000000000-22-22000000004-4-44004-40000-4400000-22000000000000-22-2200000000
χ424-4-4400-22−2i32i32i3−2i32-2000002-2000000000000−1+i31−i3−1−i31+i3000000004-4-4400-22−2i32i32i3−2i32-2000002-2000000000000−1+i31−i3−1−i31+i3000000004-4-4400-22−2i32i32i3−2i32-2000002-2000000000000−1+i31−i3−1−i31+i300000000
χ434-4-4400-22−2i32i32i3−2i32-200000-220000000000001−i3−1+i31+i3−1−i3000000004-4-4400-22−2i32i32i3−2i32-200000-220000000000001−i3−1+i31+i3−1−i3000000004-4-4400-22−2i32i32i3−2i32-200000-220000000000001−i3−1+i31+i3−1−i300000000
χ444-4-4400-222i3−2i3−2i32i32-2000002-2000000000000−1−i31+i3−1+i31−i3000000004-4-4400-222i3−2i3−2i32i32-2000002-2000000000000−1−i31+i3−1+i31−i3000000004-4-4400-222i3−2i3−2i32i32-2000002-2000000000000−1−i31+i3−1+i31−i300000000
χ454-4-4400-222i3−2i3−2i32i32-200000-220000000000001+i3−1−i31−i3−1+i3000000004-4-4400-222i3−2i3−2i32i32-200000-220000000000001+i3−1−i31−i3−1+i3000000004-4-4400-222i3−2i3−2i32i32-200000-220000000000001+i3−1−i31−i3−1+i300000000
χ46111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ481111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ491111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−1+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5011111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111ii−i−iii−i−i−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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ5111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111−i−iii−i−iii−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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ5211111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ5311111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ542222222222222222-2-2-2000022-2-20000-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i30000−1+i3−1+i31−i31−i300001−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i30000−1−i3−1−i31+i31+i300001+i31+i3000000000000
χ5522222222222222-2-222-20000-2-2220000-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+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−i300001−i31−i3−1+i3−1+i300001−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−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+i300001+i31+i3−1−i3−1−i300001+i31+i3000000000000
χ56222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ57222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-1-11111-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ58222222-1-1-1-1-1-1-1-122-2-2-20000-1-111−i3−i3i3i311−i3−i3i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i300001−i321−i32−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i300001+i321+i32−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000
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χ60222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1−i3−i3i3i311i3i3−i3−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i30000−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i30000−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000
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χ992222222222222222-2-2-2000022-2-20000-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i30000−1−i3−1−i31+i31+i300001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i30000−1+i3−1+i31−i31−i300001−i31−i3000000000000
χ10022222222222222-2-222-20000-2-2220000-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−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+i300001+i31+i3−1−i3−1−i300001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+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−i300001−i31−i3−1+i3−1+i300001−i31−i3000000000000
χ101222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
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χ104222222-1-1-1-1-1-1-1-122-2-2-20000-1-111i3i3−i3−i311i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i300001+i321+i32−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i300001−i321−i32−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000
χ105222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1−i3−i3i3i311i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i30000−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i30000−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000
χ106222222-1-1-1-1-1-1-1-1-2-222-2000011-1-1i3i3−i3−i311−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i30000−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i30000−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000
χ107222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-211111111-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i3200000000
χ108222222-1-1-1-1-1-1-1-1-2-2-2-22-2-2221111-1-1-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ10922-2-22-22222-2-2-2-22-200000002-200000000000000002−22−2−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i30000000−1−i31+i30000000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i30000000−1+i31−i30000000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23
χ11022-2-22-22222-2-2-2-22-200000002-20000000000000000−22−22−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i30000000−1−i31+i30000000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i30000000−1+i31−i30000000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23
χ11122-2-22-22222-2-2-2-2-220000000-220000000000000000−i2i2i2−i2−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i300000001+i3−1−i30000000000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i300000001−i3−1+i30000000000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ11222-2-22-22222-2-2-2-2-220000000-220000000000000000i2−i2−i2i2−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i300000001+i3−1−i30000000000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i300000001−i3−1+i30000000000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ11322-2-2-2222-2-222-2-2002i−2i00000002i−2i00000000001+i−1−i1−i−1+i0000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3002ζ22−2ζ2200000002ζ22−2ζ220000000000−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ220000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3002ζ14−2ζ1400000002ζ14−2ζ140000000000ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ200000
χ11422-2-2-2222-2-222-2-2002i−2i00000002i−2i0000000000−1−i1+i−1+i1−i0000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3002ζ22−2ζ2200000002ζ22−2ζ220000000000ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ220000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3002ζ14−2ζ1400000002ζ14−2ζ140000000000−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ200000
χ11522-2-2-2222-2-222-2-200−2i2i0000000−2i2i00000000001−i−1+i1+i−1−i0000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300−2ζ222ζ220000000−2ζ222ζ220000000000−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ220000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300−2ζ142ζ140000000−2ζ142ζ140000000000−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ200000
χ11622-2-2-2222-2-222-2-200−2i2i0000000−2i2i0000000000−1+i1−i−1−i1+i0000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300−2ζ222ζ220000000−2ζ222ζ220000000000ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ220000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300−2ζ142ζ140000000−2ζ142ζ140000000000ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ200000
χ1174444-4-444-4-4-4-4440000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i32+2i3−2−2i3−2−2i30000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i32−2i3−2+2i3−2+2i30000000000000000000000000000000
χ1184444-4-4-2-22222-2-200000000000000000−2i32i3000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300000000000000000−3+i33−i3000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000000000000003+i3−3−i3000000000000
χ1194444-4-4-2-22222-2-2000000000000000002i3−2i3000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000000000000003−i3−3+i3000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300000000000000000−3−i33+i3000000000000
χ12044-4-44-4-2-2-2-222224-40000000-2200000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−2−2i32+2i300000001+i3−1−i300000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−2+2i32−2i300000001−i3−1+i300000000000000000000
χ12144-4-44-4-2-2-2-22222-4400000002-200000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i32+2i3−2−2i30000000−1−i31+i300000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i32−2i3−2+2i30000000−1+i31−i300000000000000000000
χ12244-4-4-44-2-222-2-222004i−4i0000000−2i2i000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3004ζ22−4ζ220000000−2ζ222ζ22000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3004ζ14−4ζ140000000−2ζ142ζ14000000000000000000
χ12344-4-4-44-2-222-2-22200−4i4i00000002i−2i000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300−4ζ224ζ2200000002ζ22−2ζ22000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300−4ζ144ζ1400000002ζ14−2ζ14000000000000000000
χ1244-44-4004-400004-400000002i−2i00002i−2i2i−2i00000000000000−2−2i32+2i3−2−2i32+2i300−2−2i32+2i30000−2−2i32+2i300000002ζ22−2ζ2200002ζ22−2ζ222ζ22−2ζ2200000000000000−2+2i32−2i3−2+2i32−2i300−2+2i32−2i30000−2+2i32−2i300000002ζ14−2ζ1400002ζ14−2ζ142ζ14−2ζ1400000000000000
χ1254-44-4004-400004-40000000−2i2i0000−2i2i−2i2i00000000000000−2−2i32+2i3−2−2i32+2i300−2−2i32+2i30000−2−2i32+2i30000000−2ζ222ζ220000−2ζ222ζ22−2ζ222ζ2200000000000000−2+2i32−2i3−2+2i32−2i300−2+2i32−2i30000−2+2i32−2i30000000−2ζ142ζ140000−2ζ142ζ14−2ζ142ζ1400000000000000
χ1264-44-400-22−2i32i3−2i32i3-2200000002i−2i00002ζ14−2ζ142ζ22−2ζ2200000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i3−3+i33−i3−3+i33−i31+i3−1−i300000002ζ22−2ζ2200002i−2i2ζ14−2ζ1400000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i33+i3−3−i33+i3−3−i31−i3−1+i300000002ζ14−2ζ1400002ζ22−2ζ222i−2i00000000000000
χ1274-44-400-22−2i32i3−2i32i3-220000000−2i2i0000−2ζ142ζ14−2ζ222ζ2200000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i3−3+i33−i3−3+i33−i31+i3−1−i30000000−2ζ222ζ220000−2i2i−2ζ142ζ1400000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i33+i3−3−i33+i3−3−i31−i3−1+i30000000−2ζ142ζ140000−2ζ222ζ22−2i2i00000000000000
χ1284-44-400-222i3−2i32i3−2i3-2200000002i−2i00002ζ22−2ζ222ζ14−2ζ1400000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i33−i3−3+i33−i3−3+i31+i3−1−i300000002ζ22−2ζ2200002ζ14−2ζ142i−2i00000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i3−3−i33+i3−3−i33+i31−i3−1+i300000002ζ14−2ζ1400002i−2i2ζ22−2ζ2200000000000000
χ1294-44-400-222i3−2i32i3−2i3-220000000−2i2i0000−2ζ222ζ22−2ζ142ζ1400000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i33−i3−3+i33−i3−3+i31+i3−1−i30000000−2ζ222ζ220000−2ζ142ζ14−2i2i00000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i3−3−i33+i3−3−i33+i31−i3−1+i30000000−2ζ142ζ140000−2i2i−2ζ222ζ2200000000000000
χ1304-4-44004-40000-44000002-20000000000002-22-200000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i300002+2i3−2−2i300000−1−i31+i3000000000000−1−i31+i3−1−i31+i300000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i300002−2i3−2+2i300000−1+i31−i3000000000000−1+i31−i3−1+i31−i300000000
χ1314-4-44004-40000-4400000-22000000000000-22-2200000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i300002+2i3−2−2i3000001+i3−1−i30000000000001+i3−1−i31+i3−1−i300000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i300002−2i3−2+2i3000001−i3−1+i30000000000001−i3−1+i31−i3−1+i300000000
χ1324-4-4400-22−2i32i32i3−2i32-2000002-2000000000000−1+i31−i3−1−i31+i300000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i3−3+i33−i33−i3−3+i3−1−i31+i300000−1−i31+i30000000000002-2−1+i31−i300000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i33+i3−3−i3−3−i33+i3−1+i31−i300000−1+i31−i3000000000000−1−i31+i32-200000000
χ1334-4-4400-22−2i32i32i3−2i32-200000-220000000000001−i3−1+i31+i3−1−i300000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i3−3+i33−i33−i3−3+i3−1−i31+i3000001+i3−1−i3000000000000-221−i3−1+i300000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i33+i3−3−i3−3−i33+i3−1+i31−i3000001−i3−1+i30000000000001+i3−1−i3-2200000000
χ1344-4-4400-222i3−2i3−2i32i32-2000002-2000000000000−1−i31+i3−1+i31−i300000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i33−i3−3+i3−3+i33−i3−1−i31+i300000−1−i31+i3000000000000−1+i31−i32-200000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i3−3−i33+i33+i3−3−i3−1+i31−i300000−1+i31−i30000000000002-2−1−i31+i300000000
χ1354-4-4400-222i3−2i3−2i32i32-200000-220000000000001+i3−1−i31−i3−1+i300000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i33−i3−3+i3−3+i33−i3−1−i31+i3000001+i3−1−i30000000000001−i3−1+i3-2200000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i3−3−i33+i33+i3−3−i3−1+i31−i3000001−i3−1+i3000000000000-221+i3−1−i300000000

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