Finite Group Databasebeta

← Group #14415816

Character table — Group #14415816

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222244444444444445555666688888888888888888888101010101010101010101010101010101010101012122020202020202020202020202020202020202020202020202024242424242424243030303060606060606060606060
order122234444666121212122566101010121220202020444422441010152020303030303030306060606060606060222266668888888812121212444668888121224242424242424242424242424242424101020202020202044442488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111−i−iii−i−iii
χ811111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111ii−i−iii−i−i
χ91111111-1-11111111-11-1-1111-1-1-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-111-1-1111111-1-111-1-11111-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-11-11-1
χ101111111-1-11111111-11-1-1111-1-1-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-11-11-11-11
χ111111111-1-11111111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1111111-1-111-1-1111111-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-11-11
χ121111111-1-11111111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-11-11-11-1
χ131111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1111i−i−ii11iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111i−i−iii−i−ii
χ141111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1111−iii−i11−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111−iii−i−iii−i
χ151111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1-1-111111i−i−ii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1−iii−i−iii−i
χ161111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1-1-111111−iii−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1i−i−iii−i−ii
χ1711111-1-111111-1-1-1-1-11-1-1111111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111111111-11-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1111-1-1-1-1-11111
χ1811111-1-111111-1-1-1-1-11-1-1111111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1111-11111-1-1-1-1
χ1911111-1-111111-1-1-1-1-11-1-11111111111111-1-111-1-11-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-111111-1-1-1-1
χ2011111-1-111111-1-1-1-1-11-1-11111111111111-1-111-1-11-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11-1-1-1-11111
χ2111111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-11-1-1-1-1111111-1-11111iiii−i−i−i−i-1-1-1-1-111-1-1−i−iii11ii−i−iii−i−i−i−iii−i−iii11-1-1-1-11111-1-1-11−i−iiiii−i−i
χ2211111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-11-1-1-1-1111111-1-11111−i−i−i−iiiii-1-1-1-1-111-1-1ii−i−i11−i−iii−i−iiiii−i−iii−i−i11-1-1-1-11111-1-1-11ii−i−i−i−iii
χ2311111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-1-1-1111111-1-11111iiii−i−i−i−i-1-1-1-11-11-1-1−i−iii11ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1-1-1111-1ii−i−i−i−iii
χ2411111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-1-1-1111111-1-11111−i−i−i−iiiii-1-1-1-11-11-1-1ii−i−i11−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1-1-1111-1−i−iiiii−i−i
χ2511111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-1-1-11-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-11-111-11-1
χ2611111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1-11-11-111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-111-11-1-11-11
χ2711111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-11111-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-1-11-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-11-11-1-11-11
χ2811111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-11111-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-11-11-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11-111-11-1
χ2911111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-1-1-11-1-111−iii−i-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-111-1-11-1−iii−ii−i−ii
χ3011111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-1-1-11-1-111i−i−ii-1-1−i−iiiii−i−iii−i−i−i−iii11-1-111-1-111-1-11-1i−i−ii−iii−i
χ3111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-1-1-1-11-111−iii−i-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111-1-111-1-111-11i−i−ii−iii−i
χ3211111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-1-1-1-11-111i−i−ii-1-1−i−iiiii−i−iii−i−i−i−iii-1-111-1-111-1-111-11−iii−ii−i−ii
χ332222-12222-1-1-1-1-1-1-122-1-1222-1-122222222000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ342222-12222-1-1-1-1-1-1-122-1-1222-1-122222222000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1002-1-1-2-2-2-2-1-111111111111111110000000000000000000000
χ352222-12222-1-1-1-1-1-1-122-1-1222-1-12222-2-2-2-2000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112i2i2i2i−2i−2i−2i−2i111100-2112i2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000
χ362222-12222-1-1-1-1-1-1-122-1-1222-1-12222-2-2-2-2000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111−2i−2i−2i−2i2i2i2i2i111100-211−2i−2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000
χ372222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-222220000-2-2-122-1-11111-1-1-1-1-1111122-2-2-1-1-1-122-2-222-2-2-1-1-1-100-2112-22-211-1-1-1-11111-1-1-1-111110000000000000000000000
χ382222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-222220000-2-2-122-1-11111-1-1-1-1-1111122-2-2-1-1-1-1-2-222-2-222-1-1-1-100-211-22-22111111-1-1-1-11111-1-1-1-10000000000000000000000
χ392222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-2-20000-2-2-122-1-11111-1-1-1-1-11111-2-22211112i2i−2i−2i−2i−2i2i2i1111002-1-12i−2i−2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000
χ402222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-2-20000-2-2-122-1-11111-1-1-1-1-11111-2-2221111−2i−2i2i2i2i2i−2i−2i1111002-1-1−2i2i2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000
χ412222-1-2-222-1-1-11111-2211222-1-1222222220000-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222111122222222-1-1-1-100-2-1-1-2-2-2-211-1-111-1-111-1-111-1-1110000000000000000000000
χ422222-1-2-222-1-1-11111-2211222-1-1222222220000-2-2-1-2-2-1-11111-11111-1-1-1-1-2-2221111-2-2-2-2-2-2-2-2-1-1-1-100-2-1-122221111-1-111-1-111-1-111-1-10000000000000000000000
χ432222-1-2-222-1-1-11111-2211222-1-12222-2-2-2-20000-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2-1-1-1-12i2i2i2i−2i−2i−2i−2i111100211−2i−2i2i2i-1-1−i−iii−i−iiiii−i−iii−i−i0000000000000000000000
χ442222-1-2-222-1-1-11111-2211222-1-12222-2-2-2-20000-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111002112i2i−2i−2i-1-1ii−i−iii−i−i−i−iii−i−iii0000000000000000000000
χ452222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-22222000022-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2111122-2-222-2-2-1-1-1-100211-22-22-1-1-1-11111-1-1-1-11111-1-10000000000000000000000
χ462222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-22222000022-1-2-2-1-1-1-1-1-1-111111111-2-2-2-21111-2-222-2-222-1-1-1-1002112-22-2-1-111-1-1-1-11111-1-1-1-1110000000000000000000000
χ472222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-2-2-2-2-2000022-1-2-2-1-1-1-1-1-1-1111111112222-1-1-1-12i2i−2i−2i−2i−2i2i2i111100-2-1-1−2i2i2i−2i11−i−iiiii−i−iii−i−i−i−iii0000000000000000000000
χ482222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-2-2-2-2-2000022-1-2-2-1-1-1-1-1-1-1111111112222-1-1-1-1−2i−2i2i2i2i2i−2i−2i111100-2-1-12i−2i−2i2i11ii−i−i−i−iii−i−iiiii−i−i0000000000000000000000
χ4922-2-222i−2i002-2-22i2i−2i−2i02002-2-20000002i−2i2i−2i2-22i−2i0022i−2i2-20000-22i2i−2i−2i00002-20022-2-2000000002i−2i2i−2i0000000000000000000000000002-22i−2i00002-22i−2i0000000000
χ5022-2-222i−2i002-2-22i2i−2i−2i02002-2-20000002i−2i2i−2i-22−2i2i0022i−2i2-20000-22i2i−2i−2i00002-20022-2-2000000002i−2i2i−2i000000000000000000000000000-22−2i2i0000-22−2i2i0000000000
χ5122-2-222i−2i002-2-22i2i−2i−2i02002-2-2000000−2i2i−2i2i2-22i−2i0022i−2i2-20000-22i2i−2i−2i0000-2200-2-22200000000−2i2i−2i2i0000000000000000000000000002-22i−2i0000-22−2i2i0000000000
χ5222-2-222i−2i002-2-22i2i−2i−2i02002-2-2000000−2i2i−2i2i-22−2i2i0022i−2i2-20000-22i2i−2i−2i0000-2200-2-22200000000−2i2i−2i2i000000000000000000000000000-22−2i2i00002-22i−2i0000000000
χ5322-2-22−2i2i002-2-2−2i−2i2i2i02002-2-20000002i−2i2i−2i2-2−2i2i002−2i2i2-20000-2−2i−2i2i2i0000-2200-2-222000000002i−2i2i−2i0000000000000000000000000002-2−2i2i0000-222i−2i0000000000
χ5422-2-22−2i2i002-2-2−2i−2i2i2i02002-2-20000002i−2i2i−2i-222i−2i002−2i2i2-20000-2−2i−2i2i2i0000-2200-2-222000000002i−2i2i−2i000000000000000000000000000-222i−2i00002-2−2i2i0000000000
χ5522-2-22−2i2i002-2-2−2i−2i2i2i02002-2-2000000−2i2i−2i2i2-2−2i2i002−2i2i2-20000-2−2i−2i2i2i00002-20022-2-200000000−2i2i−2i2i0000000000000000000000000002-2−2i2i00002-2−2i2i0000000000
χ5622-2-22−2i2i002-2-2−2i−2i2i2i02002-2-2000000−2i2i−2i2i-222i−2i002−2i2i2-20000-2−2i−2i2i2i00002-20022-2-200000000−2i2i−2i2i000000000000000000000000000-222i−2i0000-222i−2i0000000000
χ572-2-222002-2-2-2200000200-2-222-222-2-222-2-2000000200-2-200002000022-2-2002-200002i−2i2i−2i2i−2i2i−2i22-2-20002-20000002i−2i002i−2i002i−2i002i−2i000000000000000000000000
χ582-2-222002-2-2-2200000200-2-222-222-2-222-2-2000000200-2-200002000022-2-2002-20000−2i2i−2i2i−2i2i−2i2i22-2-20002-2000000−2i2i00−2i2i00−2i2i00−2i2i000000000000000000000000
χ592-2-222002-2-2-2200000200-2-222-222-2-2-2-222000000200-2-200002000022-2-200-2200002-22-2-22-22-2-222000-220000002-2002-200-2200-22000000000000000000000000
χ602-2-222002-2-2-2200000200-2-222-222-2-2-2-222000000200-2-200002000022-2-200-220000-22-222-22-2-2-222000-22000000-2200-22002-2002-2000000000000000000000000
χ612-2-22200-22-2-2200000200-2-22-22-2-22222-2-2000000200-2-2000020000-2-22200-2200002i−2i−2i2i2i−2i−2i2i22-2-2000-220000002i−2i00−2i2i002i−2i00−2i2i000000000000000000000000
χ622-2-22200-22-2-2200000200-2-22-22-2-22222-2-2000000200-2-2000020000-2-22200-220000−2i2i2i−2i−2i2i2i−2i22-2-2000-22000000−2i2i002i−2i00−2i2i002i−2i000000000000000000000000
χ632-2-22200-22-2-2200000200-2-22-22-2-222-2-222000000200-2-2000020000-2-222002-200002-2-22-222-2-2-2220002-20000002-200-2200-22002-2000000000000000000000000
χ642-2-22200-22-2-2200000200-2-22-22-2-222-2-222000000200-2-2000020000-2-222002-20000-222-22-2-22-2-2220002-2000000-22002-2002-200-22000000000000000000000000
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χ834444444-4-44444444-4-1-4-4-1-1-1-4-411110000444411-1-1-1-1-11111-1-1-1-1-1111100000000000000000000-4-40000000000000000000000000-1-1-1-1111100000000000000
χ844444444-4-44444444-4-1-4-4-1-1-1-4-411110000-4-4-4-411-1-1-1-1-11111-1-1-1-1-11111000000000000000000004400000000000000000000000001111-1-1-1-100000000000000
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χ9744-4-4-24i−4i00-222−2i−2i2i2i04004-4-40000004i−4i4i−4i000000-24i−4i-2200002−2i−2i2i2i00004-400-2-22200000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ9844-4-4-24i−4i00-222−2i−2i2i2i04004-4-4000000−4i4i−4i4i000000-24i−4i-2200002−2i−2i2i2i0000-440022-2-2000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ9944-4-4-2−4i4i00-2222i2i−2i−2i04004-4-40000004i−4i4i−4i000000-2−4i4i-22000022i2i−2i−2i0000-440022-2-200000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
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χ1088888-488-8-8-4-4-4-4-4-4-4-8-244-2-2-244222200000000221-2-211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000
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χ11188-8-8-48i−8i00-444−4i−4i4i4i0-200-22200−2i52i5−2i52i500000000−25251−2i2i1-15−55−5-1ii−i−ii5−i5i5−i5000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48i−8i00-444−4i−4i4i4i0-200-222002i5−2i52i5−2i50000000025−251−2i2i1-1−55−55-1ii−i−i−i5i5−i5i5000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4−8i8i00-4444i4i−4i−4i0-200-22200−2i52i5−2i52i50000000025−2512i−2i1-1−55−55-1−i−iiii5−i5i5−i5000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4−8i8i00-4444i4i−4i−4i0-200-222002i5−2i52i5−2i500000000−252512i−2i1-15−55−5-1−i−iii−i5i5−i5i5000000000000000000000000000000000000000000000000000000000000000000000
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χ1178-88-8-400004-4443−43−43430-2002-2200−2i52i52i5−2i50000000000100-11i15−i15−i15i15-1−333−3i5−i5−i5i5000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-400004-4443−43−43430-2002-22002i5−2i5−2i52i50000000000100-11−i15i15i15−i15-1−333−3−i5i5i5−i5000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-8-888008-8-8-8800000-20022-28-8-2-2220000000000-200220000-20000-2-222000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-8-88-400-8844-4−4i34i3−4i34i30-24i3−4i322-24-422-2-20000000000100-1-1−i3−i3i3i31i3−i3i3−i3-1-111000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-400-8844-44i3−4i34i3−4i30-2−4i34i322-24-422-2-20000000000100-1-1i3i3−i3−i31−i3i3−i3i3-1-111000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).