Finite Group Databasebeta

← Group #11920787

Character table — Group #11920787

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222666688888888888888881212121212121212121224242424111111112222666688888888888888881212121212121212121224242424111111112222666688888888888888881212121212121212121224242424
order1222444488884444366612121212242424242424242488888888884488366612121212242424241212121236661212121224242424242424242424242424242424242412122424366612121212242424241212121236661212121224242424242424242424242424242424242412122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111-1-1-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1i−i1111-1-1-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1i−i1111-1-1-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1i−i
χ61111-1-1-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i-1-111−i−iii-11−ii1111-1-1-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i-1-111−i−iii-11−ii1111-1-1-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i-1-111−i−iii-11−ii
χ71111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−ii1111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−ii1111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−ii
χ81111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii-1-111ii−i−i-11i−i1111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii-1-111ii−i−i-11i−i1111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii-1-111ii−i−i-11i−i
χ92222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000
χ1022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-200000000000022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-200000000000022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-2000000000000
χ112222-2-2-2-22i2i−2i−2i22-2-2-1-1-1-11111−i−i−i−iiiii2i−2i0000000000002222-2-2-2-22i2i−2i−2i22-2-2-1-1-1-11111−i−i−i−iiiii2i−2i0000000000002222-2-2-2-22i2i−2i−2i22-2-2-1-1-1-11111−i−i−i−iiiii2i−2i000000000000
χ122222-2-2-2-2−2i−2i2i2i22-2-2-1-1-1-11111iiii−i−i−i−i−2i2i0000000000002222-2-2-2-2−2i−2i2i2i22-2-2-1-1-1-11111iiii−i−i−i−i−2i2i0000000000002222-2-2-2-2−2i−2i2i2i22-2-2-1-1-1-11111iiii−i−i−i−i−2i2i000000000000
χ132-22-22i−2i2i−2i00002-22i−2i22-2-22i−2i2i−2i00000000000000000000002-22-22i−2i2i−2i00002-22i−2i22-2-22i−2i2i−2i00000000000000000000002-22-22i−2i2i−2i00002-22i−2i22-2-22i−2i2i−2i0000000000000000000000
χ142-22-22i−2i2i−2i00002-22i−2i-1-111−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000002-22-22i−2i2i−2i00002-22i−2i-1-111−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000002-22-22i−2i2i−2i00002-22i−2i-1-111−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000000000
χ152-22-22i−2i2i−2i00002-22i−2i-1-111−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000002-22-22i−2i2i−2i00002-22i−2i-1-111−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000002-22-22i−2i2i−2i00002-22i−2i-1-111−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000000000
χ162-22-2−2i2i−2i2i00002-2−2i2i22-2-2−2i2i−2i2i00000000000000000000002-22-2−2i2i−2i2i00002-2−2i2i22-2-2−2i2i−2i2i00000000000000000000002-22-2−2i2i−2i2i00002-2−2i2i22-2-2−2i2i−2i2i0000000000000000000000
χ172-22-2−2i2i−2i2i00002-2−2i2i-1-111i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000002-22-2−2i2i−2i2i00002-2−2i2i-1-111i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000002-22-2−2i2i−2i2i00002-2−2i2i-1-111i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000000000
χ182-22-2−2i2i−2i2i00002-2−2i2i-1-111i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000002-22-2−2i2i−2i2i00002-2−2i2i-1-111i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000002-22-2−2i2i−2i2i00002-2−2i2i-1-111i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000000000
χ192-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23002−2−i2i21−i−1+i1+i−1−i00002-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23002−2−i2i21−i−1+i1+i−1−i00002-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23002−2−i2i21−i−1+i1+i−1−i0000
χ202-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300−22i2−i2−1+i1−i−1−i1+i00002-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300−22i2−i2−1+i1−i−1−i1+i00002-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300−22i2−i2−1+i1−i−1−i1+i0000
χ212-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23002−2−i2i2−1+i1−i−1−i1+i00002-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23002−2−i2i2−1+i1−i−1−i1+i00002-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23002−2−i2i2−1+i1−i−1−i1+i0000
χ222-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300−22i2−i21−i−1+i1+i−1−i00002-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300−22i2−i21−i−1+i1+i−1−i00002-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300−22i2−i21−i−1+i1+i−1−i0000
χ232-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13002−2i2−i21+i−1−i1−i−1+i00002-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13002−2i2−i21+i−1−i1−i−1+i00002-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13002−2i2−i21+i−1−i1−i−1+i0000
χ242-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300−22−i2i2−1−i1+i−1+i1−i00002-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300−22−i2i2−1−i1+i−1+i1−i00002-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300−22−i2i2−1−i1+i−1+i1−i0000
χ252-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13002−2i2−i2−1−i1+i−1+i1−i00002-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13002−2i2−i2−1−i1+i−1+i1−i00002-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13002−2i2−i2−1−i1+i−1+i1−i0000
χ262-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300−22−i2i21+i−1−i1−i−1+i00002-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300−22−i2i21+i−1−i1−i−1+i00002-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300−22−i2i21+i−1−i1−i−1+i0000
χ27333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1
χ28333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111
χ2933333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-11133333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-11133333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-111
χ3033333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-133333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-133333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-1
χ313333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii11-1-1ii−i−i-11−ii3333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii11-1-1ii−i−i-11−ii3333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii11-1-1ii−i−i-11−ii
χ323333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii-1-111−i−iii1-1i−i3333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii-1-111−i−iii1-1i−i3333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii-1-111−i−iii1-1i−i
χ333333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i11-1-1−i−iii-11i−i3333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i11-1-1−i−iii-11i−i3333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i11-1-1−i−iii-11i−i
χ343333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i-1-111ii−i−i1-1−ii3333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i-1-111ii−i−i1-1−ii3333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i-1-111ii−i−i1-1−ii
χ3544-4-444-4-4000000001-1-1111-1-13−3−333−3−330000000000000044-4-444-4-4000000001-1-1111-1-13−3−333−3−330000000000000044-4-444-4-4000000001-1-1111-1-13−3−333−3−3300000000000000
χ3644-4-444-4-4000000001-1-1111-1-1−333−3−333−30000000000000044-4-444-4-4000000001-1-1111-1-1−333−3−333−30000000000000044-4-444-4-4000000001-1-1111-1-1−333−3−333−300000000000000
χ3744-4-444-4-400000000-222-2-2-222000000000000000000000044-4-444-4-400000000-222-2-2-222000000000000000000000044-4-444-4-400000000-222-2-2-2220000000000000000000000
χ3844-4-4-4-444000000001-1-11-1-111−i3i3i3−i3i3−i3−i3i30000000000000044-4-4-4-444000000001-1-11-1-111−i3i3i3−i3i3−i3−i3i30000000000000044-4-4-4-444000000001-1-11-1-111−i3i3i3−i3i3−i3−i3i300000000000000
χ3944-4-4-4-444000000001-1-11-1-111i3−i3−i3i3−i3i3i3−i30000000000000044-4-4-4-444000000001-1-11-1-111i3−i3−i3i3−i3i3i3−i30000000000000044-4-4-4-444000000001-1-11-1-111i3−i3−i3i3−i3i3i3−i300000000000000
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χ1122-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000-11-11−iii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300−22i2−i2−1+i1−i−1−i1+i0000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ222ζ13−2ζ13−2ζ72ζ700001+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ13−ζ13ζ13−ζ13−ζ7ζ7−ζ7ζ700ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ220000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ142ζ5−2ζ5−2ζ232ζ2300001−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ5−ζ5ζ5−ζ5−ζ23ζ23−ζ23ζ2300−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ200000
χ1132-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23002−2−i2i2−1+i1−i−1−i1+i0000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ22−2ζ132ζ132ζ7−2ζ700001+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22−ζ13ζ13−ζ13ζ13ζ7−ζ7ζ7−ζ700−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ220000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ14−2ζ52ζ52ζ23−2ζ2300001−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14−ζ5ζ5−ζ5ζ5ζ23−ζ23ζ23−ζ2300ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ200000
χ1142-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000-11-11−iii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300−22i2−i21−i−1+i1+i−1−i0000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ22−2ζ132ζ132ζ7−2ζ700001+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22−ζ13ζ13−ζ13ζ13ζ7−ζ7ζ7−ζ700ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ220000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ14−2ζ52ζ52ζ23−2ζ2300001−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14−ζ5ζ5−ζ5ζ5ζ23−ζ23ζ23−ζ2300−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ200000
χ1152-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13002−2i2−i21+i−1−i1−i−1+i0000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ22−2ζ72ζ72ζ13−2ζ1300001+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ7ζ7−ζ7ζ7ζ13−ζ13ζ13−ζ1300−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ220000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ14−2ζ232ζ232ζ5−2ζ500001−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ23ζ23−ζ23ζ23ζ5−ζ5ζ5−ζ500ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ200000
χ1162-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000-11-11i−i−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300−22−i2i2−1−i1+i−1+i1−i0000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ22−2ζ72ζ72ζ13−2ζ1300001+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ7ζ7−ζ7ζ7ζ13−ζ13ζ13−ζ1300ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ220000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ14−2ζ232ζ232ζ5−2ζ500001−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ23ζ23−ζ23ζ23ζ5−ζ5ζ5−ζ500−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ200000
χ1172-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13002−2i2−i2−1−i1+i−1+i1−i0000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ222ζ7−2ζ7−2ζ132ζ1300001+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22ζ7−ζ7ζ7−ζ7−ζ13ζ13−ζ13ζ1300−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ220000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ142ζ23−2ζ23−2ζ52ζ500001−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14ζ23−ζ23ζ23−ζ23−ζ5ζ5−ζ5ζ500ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ200000
χ1182-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000-11-11i−i−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300−22−i2i21+i−1−i1−i−1+i0000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ222ζ7−2ζ7−2ζ132ζ1300001+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22ζ7−ζ7ζ7−ζ7−ζ13ζ13−ζ13ζ1300ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ220000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ142ζ23−2ζ23−2ζ52ζ500001−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14ζ23−ζ23ζ23−ζ23−ζ5ζ5−ζ5ζ500−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ200000
χ119333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000000000001+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000000000001−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ120333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000000000001+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000000000001−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ12133333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i321+i321+i321+i321+i320000000000000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i321−i321−i321−i321−i320000000000000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ12233333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i321+i321+i321+i321+i320000000000000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i321−i321−i321−i321−i320000000000000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1233333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii11-1-1ii−i−i-11−ii−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i323ζ223ζ22−3ζ22−3ζ221+i321+i32−1−i32−1−i320000000000000000−ζ22ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i323ζ143ζ14−3ζ14−3ζ141−i321−i32−1+i32−1+i320000000000000000−ζ14ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14
χ1243333-3-3-3-33i3i−3i−3i-1-1110000000000000000−ii-1-111−i−iii1-1i−i−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i323ζ223ζ22−3ζ22−3ζ221+i321+i32−1−i32−1−i320000000000000000−ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i323ζ143ζ14−3ζ14−3ζ141−i321−i32−1+i32−1+i320000000000000000−ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14
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χ1263333-3-3-3-3−3i−3i3i3i-1-1110000000000000000i−i-1-111ii−i−i1-1−ii−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i32−3ζ22−3ζ223ζ223ζ221+i321+i32−1−i32−1−i320000000000000000ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i32−3ζ14−3ζ143ζ143ζ141−i321−i32−1+i32−1+i320000000000000000ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14
χ12744-4-444-4-4000000001-1-1111-1-13−3−333−3−3300000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i300000000−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i300000000−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000
χ12844-4-444-4-4000000001-1-1111-1-1−333−3−333−300000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i300000000−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ2200000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i300000000−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000
χ12944-4-444-4-400000000-222-2-2-2220000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000000000000000000000
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χ1344-4-444i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ2300001-11-1i−i−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ22−4ζ134ζ134ζ7−4ζ70000−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22ζ13−ζ13ζ13−ζ13−ζ7ζ7−ζ7ζ700000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ14−4ζ54ζ54ζ23−4ζ230000−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14ζ5−ζ5ζ5−ζ5−ζ23ζ23−ζ23ζ2300000000000000
χ1354-4-44−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ1300001-11-1−iii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ22−4ζ74ζ74ζ13−4ζ130000−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22ζ7−ζ7ζ7−ζ7−ζ13ζ13−ζ13ζ1300000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ14−4ζ234ζ234ζ5−4ζ50000−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14ζ23−ζ23ζ23−ζ23−ζ5ζ5−ζ5ζ500000000000000
χ1364-4-44−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ1300001-11-1−iii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ224ζ7−4ζ7−4ζ134ζ130000−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22−ζ7ζ7−ζ7ζ7ζ13−ζ13ζ13−ζ1300000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ144ζ23−4ζ23−4ζ54ζ50000−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14−ζ23ζ23−ζ23ζ23ζ5−ζ5ζ5−ζ500000000000000
χ1376-66-66i−6i6i−6i0000-22−2i2i000000000000000000000000000000−3−3i33+3i3−3−3i33+3i36ζ22−6ζ226ζ22−6ζ2200001+i3−1−i3−2ζ222ζ22000000000000000000000000000000−3+3i33−3i3−3+3i33−3i36ζ14−6ζ146ζ14−6ζ1400001−i3−1+i3−2ζ142ζ14000000000000000000000000000000
χ1386-66-6−6i6i−6i6i0000-222i−2i000000000000000000000000000000−3−3i33+3i3−3−3i33+3i3−6ζ226ζ22−6ζ226ζ2200001+i3−1−i32ζ22−2ζ22000000000000000000000000000000−3+3i33−3i3−3+3i33−3i3−6ζ146ζ14−6ζ146ζ1400001−i3−1+i32ζ14−2ζ14000000000000000000000000000000

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