Finite Group Databasebeta

← Group #13181508

Character table — Group #13181508

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size111122224444444444444444444444449999181818182727272727272727111122224444444444444444444444449999181818182727272727272727111122224444444444444444444444449999181818182727272727272727111122224444444444444444444444449999181818182727272727272727
order1244361212333333666666121212121212121212121212224466121288888888224466121266666666666612121212121212121212121222446612128888888822446612126666666666661212121212121212121212122244661212888888882244661212666666666666121212121212121212121212224466121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i
χ611-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii
χ711-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ811-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ91-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ101-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ111-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ121-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ141-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ151-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ161-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ172222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-100000000
χ182222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2111100000000
χ1922-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-1110000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-1110000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-1110000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-11100000000
χ2022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-22211-1-10000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-22211-1-10000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-22211-1-10000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-22211-1-100000000
χ212-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2-22i−2i-11−ii000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2-22i−2i-11−ii000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2-22i−2i-11−ii000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2-22i−2i-11−ii00000000
χ222-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-22−2i2i1-1i−i000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-22−2i2i1-1i−i000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-22−2i2i1-1i−i000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-22−2i2i1-1i−i00000000
χ232-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i2-2−2i2i-11i−i000000002-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i2-2−2i2i-11i−i000000002-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i2-2−2i2i-11i−i000000002-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i2-2−2i2i-11i−i00000000
χ242-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i-222i−2i1-1−ii000000002-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i-222i−2i1-1−ii000000002-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i-222i−2i1-1−ii000000002-2−2i2i-11i−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i-222i−2i1-1−ii00000000
χ25444444441-211-2-21-211-2-21-211-2-21-211-2-20000000000000000444444441-211-2-21-211-2-21-211-2-21-211-2-20000000000000000444444441-211-2-21-211-2-21-211-2-21-211-2-20000000000000000444444441-211-2-21-211-2-21-211-2-21-211-2-20000000000000000
χ2644444444-21-2-211-21-2-211-21-2-211-21-2-211000000000000000044444444-21-2-211-21-2-211-21-2-211-21-2-211000000000000000044444444-21-2-211-21-2-211-21-2-211-21-2-211000000000000000044444444-21-2-211-21-2-211-21-2-211-21-2-2110000000000000000
χ274444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i321100000000000000004444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i321100000000000000004444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i321100000000000000004444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000000000000
χ284444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i321100000000000000004444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i321100000000000000004444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i321100000000000000004444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000000000000
χ294444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3200000000000000004444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3200000000000000004444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3200000000000000004444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000000000000
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χ97111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ981111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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χ10011111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i
χ10111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111−i−iii−i−iii-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111−i−iii−i−iii
χ10211-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111ii−i−iii−i−i-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111ii−i−iii−i−i
χ10311-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1
χ10411-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-111
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χ1461111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ14711111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ14811111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ14911-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111−i−iii−i−iii-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111−i−iii−i−iii11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i
χ15011-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111ii−i−iii−i−i-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111ii−i−iii−i−i11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii
χ15111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
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χ1622222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2111100000000-2-2-2-21111-2-21111-2-21111-2-21111-2-211112222-1-1-1-100000000-2-2-2-21111-2-21111-2-21111-2-21111-2-211112222-1-1-1-1000000002222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2111100000000
χ16322-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-11100000000-2-22211-1-1-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-22211-1-100000000-2-22211-1-1-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-22211-1-10000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-11100000000
χ16422-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-22211-1-100000000-2-22211-1-1-2-21111-2-2111122-1-1-1-122-1-1-1-122-2-2-1-11100000000-2-22211-1-1-2-21111-2-2111122-1-1-1-122-1-1-1-122-2-2-1-1110000000022-2-2-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-22211-1-100000000
χ1652-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2-22i−2i-11−ii00000000-22−2i2i1-1i−i-2-2111122-1-1-1-1−2i−2iiiii2i2i−i−i−i−i-22−2i2i1-1i−i00000000-22−2i2i1-1i−i-2-2111122-1-1-1-1−2i−2iiiii2i2i−i−i−i−i-22−2i2i1-1i−i000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2-22i−2i-11−ii00000000
χ1662-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-22−2i2i1-1i−i00000000-22−2i2i1-1i−i-2-2111122-1-1-1-1−2i−2iiiii2i2i−i−i−i−i2-22i−2i-11−ii00000000-22−2i2i1-1i−i-2-2111122-1-1-1-1−2i−2iiiii2i2i−i−i−i−i2-22i−2i-11−ii000000002-22i−2i-11−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii-22−2i2i1-1i−i00000000
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χ169444444441-211-2-21-211-2-21-211-2-21-211-2-20000000000000000-4-4-4-4-4-4-4-4-12-1-122-12-1-122-12-1-122-12-1-1220000000000000000-4-4-4-4-4-4-4-4-12-1-122-12-1-122-12-1-122-12-1-1220000000000000000444444441-211-2-21-211-2-21-211-2-21-211-2-20000000000000000
χ17044444444-21-2-211-21-2-211-21-2-211-21-2-2110000000000000000-4-4-4-4-4-4-4-42-122-1-12-122-1-12-122-1-12-122-1-10000000000000000-4-4-4-4-4-4-4-42-122-1-12-122-1-12-122-1-12-122-1-1000000000000000044444444-21-2-211-21-2-211-21-2-211-21-2-2110000000000000000
χ1714444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000000000000-4-4-4-42222-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-10000000000000000-4-4-4-42222-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-100000000000000004444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000000000000
χ1724444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000000000000-4-4-4-42222-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-10000000000000000-4-4-4-42222-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-100000000000000004444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000000000000
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χ17644-4-444-4-4-21-2-211-21-2-2112-122-1-12-122-1-10000000000000000-4-444-4-4442-122-1-12-122-1-1-21-2-211-21-2-2110000000000000000-4-444-4-4442-122-1-12-122-1-1-21-2-211-21-2-211000000000000000044-4-444-4-4-21-2-211-21-2-2112-122-1-12-122-1-10000000000000000
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χ1924-4−4i4i-222i−2i-2111−1+3i32−1−3i322-1-1-11−3i321+3i322i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2iiii2ζ14−ζ22−ζ14+2ζ220000000000000000-444i−4i2-2−2i2i2-1-1-11−3i321+3i32-2111−1+3i32−1−3i32−2iiii2ζ14−ζ22−ζ14+2ζ222i−i−i−i−2ζ14+ζ22ζ14−2ζ220000000000000000-444i−4i2-2−2i2i2-1-1-11−3i321+3i32-2111−1+3i32−1−3i32−2iiii2ζ14−ζ22−ζ14+2ζ222i−i−i−i−2ζ14+ζ22ζ14−2ζ2200000000000000004-4−4i4i-222i−2i-2111−1+3i32−1−3i322-1-1-11−3i321+3i322i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2iiii2ζ14−ζ22−ζ14+2ζ220000000000000000

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