Finite Group Databasebeta

← Group #13137723

Character table — Group #13137723

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212121224242424242424243636363636363636545454547272108108
order122233446666669991818181818181818183446669991212121218181818181818181836363636363612121212121212121212363636363636363636363636363636363636363636363636228824242424727272727272727272727272661818181818184488242424244444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ7111111111111111111111111111-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91-1-1111-11-1-111-1-1111-1-1-1111-1-1-11i−i-11-11111-1-11-1-1-1111-1-1-1111-1-1-1i−ii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−i1-1i−iii−i−iiiiiii−i−i−i−i−i−i1-1111-1-1-1i−i1-111-1-1i−ii−ii−i1-1
χ101-1-1111-11-1-111-1-1111-1-1-1111-1-1-11i−i-11-11111-1-11-1-1-1111-1-1-1111-1-1-1i−ii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−i1-1i−iii−i−iiiiiii−i−i−i−i−i−i1-1111-1-1-1−ii-11-1-111−ii−ii−ii-11
χ111-1-1111-11-1-111-1-1111-1-1-1111-1-1-11i−i-11-11111-1-11-1-1-1111-1-1-1111-1-1-1i−ii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−i-11−ii−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1111i−i1-111-1-1−ii−iii−i-11
χ121-1-1111-11-1-111-1-1111-1-1-1111-1-1-11i−i-11-11111-1-11-1-1-1111-1-1-1111-1-1-1i−ii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−i-11−ii−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1111−ii-11-1-111i−ii−i−ii1-1
χ131-1-1111-11-1-111-1-1111-1-1-1111-1-1-11−ii-11-11111-1-11-1-1-1111-1-1-1111-1-1-1−ii−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii−i−iii−i−i−i−i−i−iiiiiii1-1111-1-1-1i−i-11-1-111i−ii−ii−i-11
χ141-1-1111-11-1-111-1-1111-1-1-1111-1-1-11−ii-11-11111-1-11-1-1-1111-1-1-1111-1-1-1−ii−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii−i−iii−i−i−i−i−i−iiiiiii1-1111-1-1-1−ii1-111-1-1−ii−ii−ii1-1
χ151-1-1111-11-1-111-1-1111-1-1-1111-1-1-11−ii-11-11111-1-11-1-1-1111-1-1-1111-1-1-1−ii−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiii-11i−iii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1111i−i-11-1-111−ii−iii−i1-1
χ161-1-1111-11-1-111-1-1111-1-1-1111-1-1-11−ii-11-11111-1-11-1-1-1111-1-1-1111-1-1-1−ii−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiii-11i−iii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1111−ii1-111-1-1i−ii−i−ii-11
χ1722222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ1822222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-21111110000000000000000
χ1922222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2111111-1-1-1-1-1-111111111111122-2-2-2-2-2-211111111111122-1-1-1-1-1-10000000000000000
χ2022222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2111111-1-1-1-1-1-1111111111111-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111110000000000000000
χ21222222-2-2222222222222222222200222222-2-2-2-2222222222-2-2-2-2-2-20000-2-20000000000-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-20000
χ22222222-2-2222222222222222222200222222-2-2-2-2222222222-2-2-2-2-2-20000-2-20000000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2220000
χ2322222-1222-12-1-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-122-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682222-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000
χ2422222-1222-12-1-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-122-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-122-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-2-21111−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+ζ6811−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000
χ2522222-1222-12-1-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2-1-11111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−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−ζ52ζ4+ζ68ζ4+ζ6822-2-21111−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+ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000
χ2622222-1222-12-1-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-2-2-1-11111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−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−ζ52ζ4+ζ68ζ4+ζ68-2-222-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6811−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000
χ2722222-1222-12-1-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-122-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682222-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000000000000
χ2822222-1222-12-1-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-122-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-122-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-2-21111−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−ζ6811−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000000000000
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χ1154-4-44-2-24-422-2-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68100-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000-113i−3i−3i3i000000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ7000000000000000000000000000000000000000000000
χ1164-4-44-2-24-422-2-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68100-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000-11−3i3i3i−3i000000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ7000000000000000000000000000000000000000000000
χ1174-4-44-2-24-422-2-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52100-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000-113i−3i−3i3i000000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ7000000000000000000000000000000000000000000000
χ1184-4-44-2-24-422-2-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52100-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000-11−3i3i3i−3i000000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ7000000000000000000000000000000000000000000000
χ1194-4-44-2-2-4422-2-2222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6814i−4i-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-222-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2i2i−2i2i1-1ii−i−i2ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ22−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ22−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ2200000000000000000000000000000000000000000000
χ1204-4-44-2-2-4422-2-2222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ681−4i4i-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-222-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682i−2i2i−2i1-1−i−iii−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ222ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ22−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ2200000000000000000000000000000000000000000000
χ1214-4-44-2-2-4422-2-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6814i−4i-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-222-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2i2i−2i2i1-1ii−i−i2ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ14+2ζ22−2ζ14−2ζ62+2ζ70−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ7000000000000000000000000000000000000000000000
χ1224-4-44-2-2-4422-2-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ681−4i4i-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-222-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682i−2i2i−2i1-1−i−iii−2ζ22+2ζ62−2ζ702ζ14+2ζ22−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ62−2ζ70−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ7000000000000000000000000000000000000000000000
χ1234-4-44-2-2-4422-2-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5214i−4i-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-222-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2i2i−2i2i1-1ii−i−i−2ζ14−2ζ222ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ7000000000000000000000000000000000000000000000
χ1244-4-44-2-2-4422-2-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ521−4i4i-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-222-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522i−2i2i−2i1-1−i−iii2ζ14+2ζ22−2ζ14−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ7000000000000000000000000000000000000000000000
χ12588-8-8-4800-484-8-84-4-4-4-4-4-4444444-400-4442220000222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-4-400-4-444444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ682002-2-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-400-4-444444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ682002-2-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-400-4-44444−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ522002-2-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-48004-84-88-4-4-4-4444444-4-4-4-40044-42220000-2-2-2-2-2-2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4-4004444-4-44ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68200-2-22−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4004444-4-44ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68200-2-22−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4004444-4-4−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52200-2-222ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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