Finite Group Databasebeta

← Group #11778581

Character table — Group #11778581

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222244444444448888888888888888824242424242424241111222222444444444488888888888888888242424242424242411112222224444444444888888888888888882424242424242424
order1222223666444466121212124444412121212121212121212121244448888366666366612121212661212121212121212121212121212121212121212121212121224242424366666366612121212661212121212121212121212121212121212121212121212121224242424
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
χ311111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-111-1-111-1-11111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-111-1-111-1-11111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-111-1-111-1-1
χ61111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111-1-1111111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111-1-1111111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111-1-111
χ71111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111
χ81111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-11111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-11111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1
χ9222222222222-2-222222200-2000000-2-2-2-2000000000000222222222222-2-222222200-2000000-2-2-2-2000000000000222222222222-2-222222200-2000000-2-2-2-2000000000000
χ102222222222-2-2-2-222-2-2-2-2002000000-2-2220000000000002222222222-2-2-2-222-2-2-2-2002000000-2-2220000000000002222222222-2-2-2-222-2-2-2-2002000000-2-222000000000000
χ11222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ12222222-1-1-1-12222-1-1-1-1-1-1-2-22-2-21111-1-1-1-1111100000000222222-1-1-1-12222-1-1-1-1-1-1-2-22-2-21111-1-1-1-1111100000000222222-1-1-1-12222-1-1-1-1-1-1-2-22-2-21111-1-1-1-1111100000000
χ13222222-1-1-1-122-2-2-1-1-1-1-1-100-200−i3i3−i3i31111−i3i3−i3i300000000222222-1-1-1-122-2-2-1-1-1-1-1-100-200−i3i3−i3i31111−i3i3−i3i300000000222222-1-1-1-122-2-2-1-1-1-1-1-100-200−i3i3−i3i31111−i3i3−i3i300000000
χ14222222-1-1-1-122-2-2-1-1-1-1-1-100-200i3−i3i3−i31111i3−i3i3−i300000000222222-1-1-1-122-2-2-1-1-1-1-1-100-200i3−i3i3−i31111i3−i3i3−i300000000222222-1-1-1-122-2-2-1-1-1-1-1-100-200i3−i3i3−i31111i3−i3i3−i300000000
χ15222222-1-1-1-1-2-222-1-111112-2-22-2-1-111-1-111-1-11100000000222222-1-1-1-1-2-222-1-111112-2-22-2-1-111-1-111-1-11100000000222222-1-1-1-1-2-222-1-111112-2-22-2-1-111-1-111-1-11100000000
χ16222222-1-1-1-1-2-222-1-11111-22-2-2211-1-1-1-11111-1-100000000222222-1-1-1-1-2-222-1-11111-22-2-2211-1-1-1-11111-1-100000000222222-1-1-1-1-2-222-1-11111-22-2-2211-1-1-1-11111-1-100000000
χ17222222-1-1-1-1-2-2-2-2-1-1111100200−i3i3i3−i311-1-1−i3i3i3−i300000000222222-1-1-1-1-2-2-2-2-1-1111100200−i3i3i3−i311-1-1−i3i3i3−i300000000222222-1-1-1-1-2-2-2-2-1-1111100200−i3i3i3−i311-1-1−i3i3i3−i300000000
χ18222222-1-1-1-1-2-2-2-2-1-1111100200i3−i3−i3i311-1-1i3−i3−i3i300000000222222-1-1-1-1-2-2-2-2-1-1111100200i3−i3−i3i311-1-1i3−i3−i3i300000000222222-1-1-1-1-2-2-2-2-1-1111100200i3−i3−i3i311-1-1i3−i3−i3i300000000
χ192222-2-22222002-2-2-200000200-200222-20000-2-2000000002222-2-22222002-2-2-200000200-200222-20000-2-2000000002222-2-22222002-2-2-200000200-200222-20000-2-200000000
χ202222-2-22222002-2-2-200000-200200-2-22-2000022000000002222-2-22222002-2-2-200000-200200-2-22-2000022000000002222-2-22222002-2-2-200000-200200-2-22-200002200000000
χ212222-2-2222200-22-2-20000200-202200-2200-2-200000000002222-2-2222200-22-2-20000200-202200-2200-2-200000000002222-2-2222200-22-2-20000200-202200-2200-2-20000000000
χ222222-2-2222200-22-2-20000-20020-2-200-22002200000000002222-2-2222200-22-2-20000-20020-2-200-22002200000000002222-2-2222200-22-2-20000-20020-2-200-2200220000000000
χ232222-2-2-1-1-1-1002-211−i3−i3i3i30200-2−i3i3-1-1-11−i3i3i3−i311000000002222-2-2-1-1-1-1002-211−i3−i3i3i30200-2−i3i3-1-1-11−i3i3i3−i311000000002222-2-2-1-1-1-1002-211−i3−i3i3i30200-2−i3i3-1-1-11−i3i3i3−i31100000000
χ242222-2-2-1-1-1-1002-211−i3−i3i3i30-2002i3−i311-11−i3i3−i3i3-1-1000000002222-2-2-1-1-1-1002-211−i3−i3i3i30-2002i3−i311-11−i3i3−i3i3-1-1000000002222-2-2-1-1-1-1002-211−i3−i3i3i30-2002i3−i311-11−i3i3−i3i3-1-100000000
χ252222-2-2-1-1-1-1002-211i3i3−i3−i30200-2i3−i3-1-1-11i3−i3−i3i311000000002222-2-2-1-1-1-1002-211i3i3−i3−i30200-2i3−i3-1-1-11i3−i3−i3i311000000002222-2-2-1-1-1-1002-211i3i3−i3−i30200-2i3−i3-1-1-11i3−i3−i3i31100000000
χ262222-2-2-1-1-1-1002-211i3i3−i3−i30-2002−i3i311-11i3−i3i3−i3-1-1000000002222-2-2-1-1-1-1002-211i3i3−i3−i30-2002−i3i311-11i3−i3i3−i3-1-1000000002222-2-2-1-1-1-1002-211i3i3−i3−i30-2002−i3i311-11i3−i3i3−i3-1-100000000
χ272222-2-2-1-1-1-100-2211−i3−i3i3i3200-20-1-1−i3i31-1i3−i311i3−i3000000002222-2-2-1-1-1-100-2211−i3−i3i3i3200-20-1-1−i3i31-1i3−i311i3−i3000000002222-2-2-1-1-1-100-2211−i3−i3i3i3200-20-1-1−i3i31-1i3−i311i3−i300000000
χ282222-2-2-1-1-1-100-2211−i3−i3i3i3-2002011i3−i31-1i3−i3-1-1−i3i3000000002222-2-2-1-1-1-100-2211−i3−i3i3i3-2002011i3−i31-1i3−i3-1-1−i3i3000000002222-2-2-1-1-1-100-2211−i3−i3i3i3-2002011i3−i31-1i3−i3-1-1−i3i300000000
χ292222-2-2-1-1-1-100-2211i3i3−i3−i3200-20-1-1i3−i31-1−i3i311−i3i3000000002222-2-2-1-1-1-100-2211i3i3−i3−i3200-20-1-1i3−i31-1−i3i311−i3i3000000002222-2-2-1-1-1-100-2211i3i3−i3−i3200-20-1-1i3−i31-1−i3i311−i3i300000000
χ302222-2-2-1-1-1-100-2211i3i3−i3−i3-2002011−i3i31-1−i3i3-1-1i3−i3000000002222-2-2-1-1-1-100-2211i3i3−i3−i3-2002011−i3i31-1−i3i3-1-1i3−i3000000002222-2-2-1-1-1-100-2211i3i3−i3−i3-2002011−i3i31-1−i3i3-1-1i3−i300000000
χ312-2-22-2222-2-22-2002-22-22-2000000000000000000000−i2i2−i2i22-2-22-2222-2-22-2002-22-22-2000000000000000000000−i2i2−i2i22-2-22-2222-2-22-2002-22-22-2000000000000000000000−i2i2−i2i2
χ322-2-22-2222-2-22-2002-22-22-2000000000000000000000i2−i2i2−i22-2-22-2222-2-22-2002-22-22-2000000000000000000000i2−i2i2−i22-2-22-2222-2-22-2002-22-22-2000000000000000000000i2−i2i2−i2
χ332-2-22-2222-2-2-22002-2-22-22000000000000000000000−i2i2i2−i22-2-22-2222-2-2-22002-2-22-22000000000000000000000−i2i2i2−i22-2-22-2222-2-2-22002-2-22-22000000000000000000000−i2i2i2−i2
χ342-2-22-2222-2-2-22002-2-22-22000000000000000000000i2−i2−i2i22-2-22-2222-2-2-22002-2-22-22000000000000000000000i2−i2−i2i22-2-22-2222-2-2-22002-2-22-22000000000000000000000i2−i2−i2i2
χ3544-4-4004-44-4000000000000000000000000000002-2000044-4-4004-44-4000000000000000000000000000002-2000044-4-4004-44-4000000000000000000000000000002-20000
χ3644-4-4004-44-400000000000000000000000000000-22000044-4-4004-44-400000000000000000000000000000-22000044-4-4004-44-400000000000000000000000000000-220000
χ374-44-4004-4-440000000000000000000000000002i−2i0000004-44-4004-4-440000000000000000000000000002i−2i0000004-44-4004-4-440000000000000000000000000002i−2i000000
χ384-44-4004-4-44000000000000000000000000000−2i2i0000004-44-4004-4-44000000000000000000000000000−2i2i0000004-44-4004-4-44000000000000000000000000000−2i2i000000
χ394-4-444-444-4-40000-44000000000000000000000000000004-4-444-444-4-40000-44000000000000000000000000000004-4-444-444-4-40000-4400000000000000000000000000000
χ404-4-444-4-2-22200002-2−2i32i32i3−2i300000000000000000000000004-4-444-4-2-22200002-2−2i32i32i3−2i300000000000000000000000004-4-444-4-2-22200002-2−2i32i32i3−2i30000000000000000000000000
χ414-4-444-4-2-22200002-22i3−2i3−2i32i300000000000000000000000004-4-444-4-2-22200002-22i3−2i3−2i32i300000000000000000000000004-4-444-4-2-22200002-22i3−2i3−2i32i30000000000000000000000000
χ424-4-44-44-2-2224-400-22-22-2200000000000000000000000004-4-44-44-2-2224-400-22-22-2200000000000000000000000004-4-44-44-2-2224-400-22-22-220000000000000000000000000
χ434-4-44-44-2-222-4400-222-22-200000000000000000000000004-4-44-44-2-222-4400-222-22-200000000000000000000000004-4-44-44-2-222-4400-222-22-20000000000000000000000000
χ4488-8-800-44-440000000000000000000000000000000000088-8-800-44-440000000000000000000000000000000000088-8-800-44-4400000000000000000000000000000000000
χ458-88-800-444-4000000000000000000000000000000000008-88-800-444-4000000000000000000000000000000000008-88-800-444-400000000000000000000000000000000000
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
χ4811111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+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
χ4911111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+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+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−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−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+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
χ501111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ511111111111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ521111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−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+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−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+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−i32
χ531111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ54222222222222-2-222222200-2000000-2-2-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i30000001−i31−i31−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−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i30000001+i31+i31+i31+i3000000000000
χ552222222222-2-2-2-222-2-2-2-2002000000-2-222000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i300−1+i30000001−i31−i3−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i300−1−i30000001+i31+i3−1−i3−1−i3000000000000
χ56222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−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+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ57222222-1-1-1-12222-1-1-1-1-1-1-2-22-2-21111-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+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+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ58222222-1-1-1-122-2-2-1-1-1-1-1-100-200−i3i3−i3i31111−i3i3−i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32001−i3003+i32−3−i323+i32−3−i32−1+i32−1+i32−1+i32−1+i323+i32−3−i323+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32001+i300−3+i323−i32−3+i323−i32−1−i32−1−i32−1−i32−1−i32−3+i323−i32−3+i323−i3200000000
χ59222222-1-1-1-122-2-2-1-1-1-1-1-100-200i3−i3i3−i31111i3−i3i3−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32001−i300−3−i323+i32−3−i323+i32−1+i32−1+i32−1+i32−1+i32−3−i323+i32−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32001+i3003−i32−3+i323−i32−3+i32−1−i32−1−i32−1−i32−1−i323−i32−3+i323−i32−3+i3200000000
χ60222222-1-1-1-1-2-222-1-111112-2-22-2-1-111-1-111-1-11100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000
χ61222222-1-1-1-1-2-222-1-11111-22-2-2211-1-1-1-11111-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i31−i31−i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i31+i31+i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000
χ62222222-1-1-1-1-2-2-2-2-1-1111100200−i3i3i3−i311-1-1−i3i3i3−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3003+i32−3−i32−3−i323+i32−1+i32−1+i321−i321−i323+i32−3−i32−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i300−3+i323−i323−i32−3+i32−1−i32−1−i321+i321+i32−3+i323−i323−i32−3+i3200000000
χ63222222-1-1-1-1-2-2-2-2-1-1111100200i3−i3−i3i311-1-1i3−i3−i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i300−3−i323+i323+i32−3−i32−1+i32−1+i321−i321−i32−3−i323+i323+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3003−i32−3+i32−3+i323−i32−1−i32−1−i321+i321+i323−i32−3+i32−3+i323−i3200000000
χ642222-2-22222002-2-2-200000200-200222-20000-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300−1+i31−i31−i31−i300000−1+i3001−i300−1+i3−1+i3−1+i31−i300001−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300−1−i31+i31+i31+i300000−1−i3001+i300−1−i3−1−i3−1−i31+i300001+i31+i300000000
χ652222-2-22222002-2-2-200000-200200-2-22-200002200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300−1+i31−i31−i31−i3000001−i300−1+i3001−i31−i3−1+i31−i30000−1+i3−1+i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300−1−i31+i31+i31+i3000001+i300−1−i3001+i31+i3−1−i31+i30000−1−i3−1−i300000000
χ662222-2-2222200-22-2-20000200-202200-2200-2-20000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i30000−1+i3001−i30−1+i3−1+i3001−i3−1+i3001−i31−i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i30000−1−i3001+i30−1−i3−1−i3001+i3−1−i3001+i31+i30000000000
χ672222-2-2222200-22-2-20000-20020-2-200-2200220000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i300001−i300−1+i301−i31−i3001−i3−1+i300−1+i3−1+i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i300001+i300−1−i301+i31+i3001+i3−1−i300−1−i3−1−i30000000000
χ682222-2-2-1-1-1-1002-211−i3−i3i3i30200-2−i3i3-1-1-11−i3i3i3−i31100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i3200−1+i31−i3−1+i32−1+i323+i323+i32−3−i32−3−i320−1+i3001−i33+i32−3−i321−i321−i321−i32−1+i323+i32−3−i32−3−i323+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i3200−1−i31+i3−1−i32−1−i32−3+i32−3+i323−i323−i320−1−i3001+i3−3+i323−i321+i321+i321+i32−1−i32−3+i323−i323−i32−3+i32−1−i32−1−i3200000000
χ692222-2-2-1-1-1-1002-211−i3−i3i3i30-2002i3−i311-11−i3i3−i3i3-1-100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i3200−1+i31−i3−1+i32−1+i323+i323+i32−3−i32−3−i3201−i300−1+i3−3−i323+i32−1+i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i3200−1−i31+i3−1−i32−1−i32−3+i32−3+i323−i323−i3201+i300−1−i33−i32−3+i32−1−i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i321+i321+i3200000000
χ702222-2-2-1-1-1-1002-211i3i3−i3−i30200-2i3−i3-1-1-11i3−i3−i3i31100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i3200−1+i31−i3−1+i32−1+i32−3−i32−3−i323+i323+i320−1+i3001−i3−3−i323+i321−i321−i321−i32−1+i32−3−i323+i323+i32−3−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i3200−1−i31+i3−1−i32−1−i323−i323−i32−3+i32−3+i320−1−i3001+i33−i32−3+i321+i321+i321+i32−1−i323−i32−3+i32−3+i323−i32−1−i32−1−i3200000000
χ712222-2-2-1-1-1-1002-211i3i3−i3−i30-2002−i3i311-11i3−i3i3−i3-1-100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i3200−1+i31−i3−1+i32−1+i32−3−i32−3−i323+i323+i3201−i300−1+i33+i32−3−i32−1+i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i3200−1−i31+i3−1−i32−1−i323−i323−i32−3+i32−3+i3201+i300−1−i3−3+i323−i32−1−i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i321+i321+i3200000000
χ722222-2-2-1-1-1-100-2211−i3−i3i3i3200-20-1-1−i3i31-1i3−i311i3−i300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32001−i3−1+i3−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i3001−i301−i321−i323+i32−3−i32−1+i321−i32−3−i323+i32−1+i32−1+i32−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32001+i3−1−i3−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i3001+i301+i321+i32−3+i323−i32−1−i321+i323−i32−3+i32−1−i32−1−i323−i32−3+i3200000000
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χ103222222-1-1-1-122-2-2-1-1-1-1-1-100-200−i3i3−i3i31111−i3i3−i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32001+i300−3+i323−i32−3+i323−i32−1−i32−1−i32−1−i32−1−i32−3+i323−i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32001−i3003+i32−3−i323+i32−3−i32−1+i32−1+i32−1+i32−1+i323+i32−3−i323+i32−3−i3200000000
χ104222222-1-1-1-122-2-2-1-1-1-1-1-100-200i3−i3i3−i31111i3−i3i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32001+i3003−i32−3+i323−i32−3+i32−1−i32−1−i32−1−i32−1−i323−i32−3+i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32001−i300−3−i323+i32−3−i323+i32−1+i32−1+i32−1+i32−1+i32−3−i323+i32−3−i323+i3200000000
χ105222222-1-1-1-1-2-222-1-111112-2-22-2-1-111-1-111-1-11100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ106222222-1-1-1-1-2-222-1-11111-22-2-2211-1-1-1-11111-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i31+i31+i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i31−i31−i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ107222222-1-1-1-1-2-2-2-2-1-1111100200−i3i3i3−i311-1-1−i3i3i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i300−3+i323−i323−i32−3+i32−1−i32−1−i321+i321+i32−3+i323−i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3003+i32−3−i32−3−i323+i32−1+i32−1+i321−i321−i323+i32−3−i32−3−i323+i3200000000
χ108222222-1-1-1-1-2-2-2-2-1-1111100200i3−i3−i3i311-1-1i3−i3−i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3003−i32−3+i32−3+i323−i32−1−i32−1−i321+i321+i323−i32−3+i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i300−3−i323+i323+i32−3−i32−1+i32−1+i321−i321−i32−3−i323+i323+i32−3−i3200000000
χ1092222-2-22222002-2-2-200000200-200222-20000-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300−1−i31+i31+i31+i300000−1−i3001+i300−1−i3−1−i3−1−i31+i300001+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300−1+i31−i31−i31−i300000−1+i3001−i300−1+i3−1+i3−1+i31−i300001−i31−i300000000
χ1102222-2-22222002-2-2-200000-200200-2-22-200002200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300−1−i31+i31+i31+i3000001+i300−1−i3001+i31+i3−1−i31+i30000−1−i3−1−i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300−1+i31−i31−i31−i3000001−i300−1+i3001−i31−i3−1+i31−i30000−1+i3−1+i300000000
χ1112222-2-2222200-22-2-20000200-202200-2200-2-20000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i30000−1−i3001+i30−1−i3−1−i3001+i3−1−i3001+i31+i30000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i30000−1+i3001−i30−1+i3−1+i3001−i3−1+i3001−i31−i30000000000
χ1122222-2-2222200-22-2-20000-20020-2-200-2200220000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i300001+i300−1−i301+i31+i3001+i3−1−i300−1−i3−1−i30000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i300001−i300−1+i301−i31−i3001−i3−1+i300−1+i3−1+i30000000000
χ1132222-2-2-1-1-1-1002-211−i3−i3i3i30200-2−i3i3-1-1-11−i3i3i3−i31100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i3200−1−i31+i3−1−i32−1−i32−3+i32−3+i323−i323−i320−1−i3001+i3−3+i323−i321+i321+i321+i32−1−i32−3+i323−i323−i32−3+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i3200−1+i31−i3−1+i32−1+i323+i323+i32−3−i32−3−i320−1+i3001−i33+i32−3−i321−i321−i321−i32−1+i323+i32−3−i32−3−i323+i32−1+i32−1+i3200000000
χ1142222-2-2-1-1-1-1002-211−i3−i3i3i30-2002i3−i311-11−i3i3−i3i3-1-100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i3200−1−i31+i3−1−i32−1−i32−3+i32−3+i323−i323−i3201+i300−1−i33−i32−3+i32−1−i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i3200−1+i31−i3−1+i32−1+i323+i323+i32−3−i32−3−i3201−i300−1+i3−3−i323+i32−1+i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i321−i321−i3200000000
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χ1314-4-444-4-2-22200002-22i3−2i3−2i32i30000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i30000−1−i31+i33−i3−3+i3−3+i33−i30000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i30000−1+i31−i3−3−i33+i33+i3−3−i30000000000000000000000000
χ1324-4-44-44-2-2224-400-22-22-220000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i31+i3−1−i3−1−i3−2−2i32+2i3001+i3−1−i31+i3−1−i31+i3−1−i30000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i31−i3−1+i3−1+i3−2+2i32−2i3001−i3−1+i31−i3−1+i31−i3−1+i30000000000000000000000000
χ1334-4-44-44-2-222-4400-222-22-20000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i31+i3−1−i3−1−i32+2i3−2−2i3001+i3−1−i3−1−i31+i3−1−i31+i30000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i31−i3−1+i3−1+i32−2i3−2+2i3001−i3−1+i3−1+i31−i3−1+i31−i30000000000000000000000000
χ13488-8-800-44-4400000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−2−2i32+2i3−2−2i300000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−2+2i32−2i3−2+2i300000000000000000000000000000000000
χ1358-88-800-444-400000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−2−2i3−2−2i32+2i300000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−2+2i3−2+2i32−2i300000000000000000000000000000000000

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