Finite Group Databasebeta

← Group #11720879

Character table — Group #11720879

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222224444444444444444666666666666666666181818181818545411112222222222222222222244444444444444446666666666666666661818181818185454
order124433669991212121218181836363636363636999121218181836363636363624661212181818181818363636363636882424242488224466661818181212121218181836363636363666181818121218181836363636363624661212181818181818363636363636882424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1i−iii−i−ii−i11-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1i−iii−i−ii−i
χ611-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1−ii−i−iii−ii11-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1−ii−i−iii−ii
χ711-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111i−iii−i−i−ii11-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111i−iii−i−i−ii
χ811-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111−ii−i−iiii−i11-1-11111111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111−ii−i−iiii−i
χ922222222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000022222222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111100000000
χ1122222-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000000022222-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000000
χ1222222-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-21111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000000022222-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-21111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000
χ1322222-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000000022222-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000
χ1422222-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-21111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000000022222-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-21111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800000000
χ1522222-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520000000022222-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000000
χ1622222-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-21111ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000000022222-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-21111ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200000000
χ172222-12-1222222-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1002222-12-1222222-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-100
χ182222-12-1222222-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111002222-12-1222222-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2111100
χ1922-2-22222-1-1-1-2-2-2-2-1-1-111111122-1-1-1-2-2-1-1-11111112-222-2-2-1-1-1-1-1-11111110000000022-2-22222-1-1-1-2-2-2-2-1-1-111111122-1-1-1-2-2-1-1-11111112-222-2-2-1-1-1-1-1-111111100000000
χ2022-2-22222-1-1-1-2-2-2-2-1-1-111111122-1-1-1-2-2-1-1-1111111-22-2-222111111-1-1-1-1-1-10000000022-2-22222-1-1-1-2-2-2-2-1-1-111111122-1-1-1-2-2-1-1-1111111-22-2-222111111-1-1-1-1-1-100000000
χ2122-2-22-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ682-2-1-111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000000022-2-22-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ682-2-1-111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000
χ2222-2-22-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-2211-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000000022-2-22-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-2211-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000000
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χ2422-2-22-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2211-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000000022-2-22-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2211-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000
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χ12144-4-4-24-24-2-2-2-4-422-2-2-2222222-2-211122111-1-1-1-1-1-100000000000000000000000000-4-4442-42-422244-2-2222-2-2-2-2-2-222-1-1-1-2-2-1-1-111111100000000000000000000000000
χ12244-4-4-2-2-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6822222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ6811−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000000000000000000000000-4-4442222−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-2-2-2-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000000000000000000000
χ12344-4-4-2-2-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6822222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6811−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000000000000000000000-4-4442222−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68-2-2-2-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800000000000000000000000000
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χ1254-44i−4i-242-4-2-2-24i−4i−2i2i222−2i2i−2i2i−2i2i-22111−2i2i-1-1-1i−ii−ii−i00000000000000000000000000-44−4i4i2-4-24222−4i4i2i−2i-2-2-22i−2i2i−2i2i−2i2-2-1-1-12i−2i111−ii−ii−ii00000000000000000000000000
χ1264-44i−4i-2-2222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2i2i−2i2i−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ221-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68i−iζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ2200000000000000000000000000-44−4i4i22-2-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682i−2i2i−2i2ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ii−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ2200000000000000000000000000
χ1274-44i−4i-2-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2i2i−2i2i−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ701-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68i−iζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ7000000000000000000000000000-44−4i4i22-2-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682i−2i2i−2i2ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ii−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ7000000000000000000000000000
χ1284-44i−4i-2-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2i2i−2i2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ701-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52i−i−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ7000000000000000000000000000-44−4i4i22-2-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522i−2i2i−2i−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−iiζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ7000000000000000000000000000
χ1294-4−4i4i-242-4-2-2-2−4i4i2i−2i2222i−2i2i−2i2i−2i-221112i−2i-1-1-1−ii−ii−ii00000000000000000000000000-444i−4i2-4-242224i−4i−2i2i-2-2-2−2i2i−2i2i−2i2i2-2-1-1-1−2i2i111i−ii−ii−i00000000000000000000000000
χ1304-4−4i4i-2-2222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i2i−2i−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ221-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−iiζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ2200000000000000000000000000-444i−4i22-2-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2i2i−2i2i2ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ22-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68i−i−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ2200000000000000000000000000
χ1314-4−4i4i-2-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682i−2i2i−2i−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ701-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−iiζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ7000000000000000000000000000-444i−4i22-2-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2i2i−2i2i2ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68i−i−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ7000000000000000000000000000
χ1324-4−4i4i-2-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i2i−2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ701-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ii−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ7000000000000000000000000000-444i−4i22-2-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2i2i−2i2i−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52i−iζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ7000000000000000000000000000

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