Finite Group Databasebeta

← Group #13138164

Character table — Group #13138164

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222266666666222222224444444444444444444412121212121212122222222244444444444444444444121212121212121222222222444444444444444444441212121212121212222222224444444444444444444412121212121212129999999918181818181818181818181818181818181818185454545454545454
order1222444436668888121212122424242424242424444488883666121212123666242424241212121224242424242424241212121224242424918181836363636918181872727272363636367272727272727272363636367272727291818183636363691818187272727236363636727272727272727236363636727272729181818363636369181818727272723636363672727272727272723636363672727272222244446666888812121212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ71111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ81111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ911-1-111-1-11-1-111-11-1-1-11111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1i−ii−ii−ii−i
χ1011-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−ii−ii−ii−ii
χ1111-1-111-1-11-1-11-11-11-1-111-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-11-11-1-111-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-11-11-1-111-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-11-11-1-111-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-11-11-1-111-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-11-11-1-111-1-111-1-111i−ii−i−ii−ii
χ1211-1-111-1-11-1-11-11-11-1-111-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-11-11-1-111-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-11-11-1-111-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-11-11-1-111-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-11-11-1-111-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-11-11-1-111-1-111-1-111−ii−iii−ii−i
χ1311-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iiii−i−ii-111-1
χ1411-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−iii−i1-1-11
χ1511-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−ii−i−ii1-1-11
χ1611-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−iii−i-111-1
χ1722222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ192222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii00000000
χ202222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i00000000
χ2122-2-222-2-2-111-12-22-211-1-1-1-111-1-1110000000022-2-222-2-2-111-12-22-211-1-1-1-111-1-1110000000022-2-222-2-2-111-12-22-211-1-1-1-111-1-1110000000022-2-222-2-2-111-12-22-211-1-1-1-111-1-1110000000022-2-222-2-2-111-12-22-211-1-1-1-111-1-1110000000022-2-222-2-2-111-12-22-211-1-1-1-111-1-11100000000
χ2222-2-222-2-2-111-1-22-2211-1-111-1-111-1-10000000022-2-222-2-2-111-1-22-2211-1-111-1-111-1-10000000022-2-222-2-2-111-1-22-2211-1-111-1-111-1-10000000022-2-222-2-2-111-1-22-2211-1-111-1-111-1-10000000022-2-222-2-2-111-1-22-2211-1-111-1-111-1-10000000022-2-222-2-2-111-1-22-2211-1-111-1-111-1-100000000
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χ2114-4-444i−4i−4i4i4-44-40000−4i4i4i−4i0000000000000000-222-2−2i2i2i−2i-22-2200002i−2i−2i2i0000000000000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ22−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ6800002ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ2200000000000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520000−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7000000000000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680000−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ700000000000000000000000000000000000000000000000000000
χ2124-4-444i−4i−4i4i-22-2200002i−2i−2i2i−2ζ21+2ζ692ζ21−2ζ692ζ21−2ζ69−2ζ21+2ζ692ζ15−2ζ39−2ζ15+2ζ39−2ζ15+2ζ392ζ15−2ζ3900000000-222-2−2i2i2i−2i1-11-10000−iii−iζ21−ζ69−ζ21+ζ69−ζ21+ζ69ζ21−ζ69−ζ15+ζ39ζ15−ζ39ζ15−ζ39−ζ15+ζ3900000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ22ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ680000−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ520000ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ702ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ680000ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ7100000000000000000000000000000000000000000000
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χ2144-4-44−4i4i4i−4i4-44-400004i−4i−4i4i0000000000000000-222-22i−2i−2i2i-22-220000−2i2i2i−2i0000000000000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ22−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ680000−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ22−2ζ14−2ζ2200000000000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200002ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ7000000000000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800002ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ700000000000000000000000000000000000000000000000000000
χ2154-4-44−4i4i4i−4i-22-220000−2i2i2i−2i2ζ15−2ζ39−2ζ15+2ζ39−2ζ15+2ζ392ζ15−2ζ39−2ζ21+2ζ692ζ21−2ζ692ζ21−2ζ69−2ζ21+2ζ6900000000-222-22i−2i−2i2i1-11-10000i−i−ii−ζ15+ζ39ζ15−ζ39ζ15−ζ39−ζ15+ζ39ζ21−ζ69−ζ21+ζ69−ζ21+ζ69ζ21−ζ6900000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ22ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ680000ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ22−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ520000−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ712ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ680000−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ6100000000000000000000000000000000000000000000
χ2164-4-44−4i4i4i−4i-22-220000−2i2i2i−2i−2ζ15+2ζ392ζ15−2ζ392ζ15−2ζ39−2ζ15+2ζ392ζ21−2ζ69−2ζ21+2ζ69−2ζ21+2ζ692ζ21−2ζ6900000000-222-22i−2i−2i2i1-11-10000i−i−iiζ15−ζ39−ζ15+ζ39−ζ15+ζ39ζ15−ζ39−ζ21+ζ69ζ21−ζ69ζ21−ζ69−ζ21+ζ6900000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ14+2ζ22ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ680000ζ14+ζ22−ζ14−ζ22−ζ14−ζ22ζ14+ζ222ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ520000−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ680000−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ6100000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.