Finite Group Databasebeta

← Group #13141049

Character table — Group #13141049

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444888888888888888888888888888888881212121212121212121212121212121212121212181818181818181824242424242424243636363636363636108108108108
order12442334669991212121218181836363636363623466666999121212121212181818181818363636363636363636666612121212181818181818181818181818363636363636363636363636248824242424727272727272727272727272888824242424612181818363636882424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-11-11-1-1111111-1-1111111111111111111-11-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111
χ611111111111111111111111111-11-11-1-1111111-1-1111111111111111111-11-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1
χ711111111111111111111111111-11-11-1-1111111-1-1111111111111111111-11-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ811111111111111111111111111-11-11-1-1111111-1-1111111111111111111-11-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ911-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111111-1-1-1-11-1-1-1111-1-1-1-1-1-11111-111-11-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i1-1111-1-1-1i−ii−iii−i−ii−ii−i
χ1011-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111111-1-1-1-11-1-1-1111-1-1-1-1-1-11111-111-11-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii1-1111-1-1-1−ii−ii−i−iii−ii−ii
χ1111-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111111-1-1-1-11-1-1-1111-1-1-1-1-1-11111-111-11-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111111ii−i−iii−i−i-11-1-1-1111i−ii−iii−i−i−ii−ii
χ1211-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111111-1-1-1-11-1-1-1111-1-1-1-1-1-11111-111-11-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111111−i−iii−i−iii-11-1-1-1111−ii−ii−i−iiii−ii−i
χ1311-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-1111111ii−i−iii−i−i1-1111-1-1-1−iii−i−i−iii−iii−i
χ1411-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-1111111−i−iii−i−iii1-1111-1-1-1i−i−iiii−i−ii−i−ii
χ1511-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i-11-1-1-1111−iii−i−i−iiii−i−ii
χ1611-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii-11-1-1-1111i−i−iiii−i−i−iii−i
χ172222222222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1000000000000
χ182222222222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111100000000-2-2111111000000000000
χ192222222222-1-1-12222-1-1-1-1-1-1-1-1-1-22-22-2-222-1-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-22-2-2111-1-1-1111111111-1-1-111111122-2-2-2-2-2-21111111111110000000022-1-1-1-1-1-1000000000000
χ202222222222-1-1-12222-1-1-1-1-1-1-1-1-1-22-22-2-222-1-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-22-2-2111-1-1-1111111111-1-1-1111111-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2111111000000000000
χ21222222-122-1ζ44−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−ζ682-12222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1-1-1ζ44−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+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−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+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ6800000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ22222222-122-1ζ44−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−ζ682-12222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1-1-1ζ44−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+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−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+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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+ζ680000000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ23222222-122-1ζ44−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−ζ68-2-1-22-2-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-2-1-1-1ζ44−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+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1111-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−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+ζ6800000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ24222222-122-1ζ44−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−ζ68-2-1-22-2-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-2-1-1-1ζ44−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+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1111-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−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−ζ680000000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ25222222-122-1ζ4−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+ζ682-12222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1-1-1ζ4−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+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1-1-1ζ4−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+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−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+ζ6800000000-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ26222222-122-1ζ4−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+ζ682-12222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1-1-1ζ4−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+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1-1-1ζ4−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+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−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−ζ680000000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ27222222-122-1ζ4−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+ζ68-2-1-22-2-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-2-2-1-1-1ζ4−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+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-1111-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6822-2-21111−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−ζ6800000000-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ28222222-122-1ζ4−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+ζ68-2-1-22-2-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-2-2-1-1-1ζ4−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+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-1111-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2-222-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ29222222-122-1−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+ζ522-12222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522222-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000000-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000000
χ30222222-122-1−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+ζ522-12222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-2-2-21111ζ4+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−ζ520000000011ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000000
χ31222222-122-1−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+ζ52-2-1-22-2-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-2-2-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-1111-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5222-2-21111ζ4+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−ζ5200000000-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000000
χ32222222-122-1−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+ζ52-2-1-22-2-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-2-2-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-1111-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-2-222-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520000000011ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000000
χ3322222-122-1222222-1-12222222222-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-10000000022-1-1-1-1-1-10000
χ3422222-122-1222222-1-12222222222-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111100000000-2-21111110000
χ3522222-122-1222222-1-1222222222-2-1-2-1112-1-1-1-1-111-1-12222-1-1-1-1-1-1-1-1-1222-2-111-2-111-2-2-2-1-1-1111111-2-2-2-1-1-1111111000000000000000000002222-1-1-1-100000000-2-2-1-111110000
χ3622222-122-1222222-1-1222222222-2-1-2-1112-1-1-1-1-111-1-12222-1-1-1-1-1-1-1-1-1222-2-111-2-111-2-2-2-1-1-1111111-2-2-2-1-1-111111100000000000000000000-2-2-2-21111000000002211-1-1-1-10000
χ372222-222-2222222222222222222020-200-22222-20022-2-2-2-2222222222-2-2-20-2000-200000-2-2-2000000000-2-2-2000000000000000000000000002-22-222220000000000-2-200000000
χ382222-222-2222222222222222222020-200-22222-20022-2-2-2-2222222222-2-2-20-2000-200000-2-2-2000000000-2-2-200000000000000000000000000-22-22-2-2-2-200000000002200000000
χ392222-2-12-2-1222222-1-12222222220-101−i3i3-2-1-1-1-11−i3i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-201−i3i301−i3i3000111−i3i3−i3i3−i3i3000111−i3i3−i3i3−i3i3000000000000000000002-22-2-1-1-1-1000000000011−i3i3−i3i30000
χ402222-2-12-2-1222222-1-12222222220-101−i3i3-2-1-1-1-11−i3i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-201−i3i301−i3i3000111−i3i3−i3i3−i3i3000111−i3i3−i3i3−i3i300000000000000000000-22-2211110000000000-1-1i3−i3i3−i30000
χ412222-2-12-2-1222222-1-12222222220-101i3−i3-2-1-1-1-11i3−i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-201i3−i301i3−i3000111i3−i3i3−i3i3−i3000111i3−i3i3−i3i3−i3000000000000000000002-22-2-1-1-1-1000000000011i3−i3i3−i30000
χ422222-2-12-2-1222222-1-12222222220-101i3−i3-2-1-1-1-11i3−i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-201i3−i301i3−i3000111i3−i3i3−i3i3−i3000111i3−i3i3−i3i3−i300000000000000000000-22-2211110000000000-1-1−i3i3−i3i30000
χ4322-2-2222-222222-2-2-2-2222-2-2-2-2-2-202020022222-200-2-2-2222222-2-2-2-2-2-2-2-2-202000-200000222000000000-2-2-2000000000000000000000000002i−2i−2i2i2i2i−2i−2i0000000000−2i2i00000000
χ4422-2-2222-222222-2-2-2-2222-2-2-2-2-2-202020022222-200-2-2-2222222-2-2-2-2-2-2-2-2-202000-200000222000000000-2-2-200000000000000000000000000−2i2i2i−2i−2i−2i2i2i00000000002i−2i00000000
χ4522-2-22-12-2-12222-2-211222-2-2-2-2-2-20-10-1−i3i32-1-1-1-11i3−i311-2222-1-1-1111111-2-2-20-1−i3i301i3−i3000-1-1-1−i3i3−i3i3−i3i3000111i3−i3i3−i3i3−i3000000000000000000002i−2i−2i2i−i−iii0000000000i−i3−3−330000
χ4622-2-22-12-2-12222-2-211222-2-2-2-2-2-20-10-1−i3i32-1-1-1-11i3−i311-2222-1-1-1111111-2-2-20-1−i3i301i3−i3000-1-1-1−i3i3−i3i3−i3i3000111i3−i3i3−i3i3−i300000000000000000000−2i2i2i−2iii−i−i0000000000−ii−333−30000
χ4722-2-22-12-2-12222-2-211222-2-2-2-2-2-20-10-1i3−i32-1-1-1-11−i3i311-2222-1-1-1111111-2-2-20-1i3−i301−i3i3000-1-1-1i3−i3i3−i3i3−i3000111−i3i3−i3i3−i3i3000000000000000000002i−2i−2i2i−i−iii0000000000i−i−333−30000
χ4822-2-22-12-2-12222-2-211222-2-2-2-2-2-20-10-1i3−i32-1-1-1-11−i3i311-2222-1-1-1111111-2-2-20-1i3−i301−i3i3000-1-1-1i3−i3i3−i3i3−i3000111−i3i3−i3i3−i3i300000000000000000000−2i2i2i−2iii−i−i0000000000−ii3−3−330000
χ4922-2-2-222222-1-1-1-2-2-2-2-1-1-111111122-2-222-22-1-1-12-2-2-2-22111-1-1-1111111-1-1-12-222-22-2-2-1-1-1111-1-1-1-1-1-1111-1-1-11111112-22-222-2-2-1-1-1-1-1-1111111000000002-2-1-1-1111000000000000
χ5022-2-2-222222-1-1-1-2-2-2-2-1-1-111111122-2-222-22-1-1-12-2-2-2-22111-1-1-1111111-1-1-12-222-22-2-2-1-1-1111-1-1-1-1-1-1111-1-1-1111111-22-22-2-222111111-1-1-1-1-1-100000000-22111-1-1-1000000000000
χ5122-2-2-222222-1-1-1-2-2-2-2-1-1-1111111-222-2-2-2-22-1-1-1222-2-22111-1-1-1111111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-222111111-1-1-1-1-1-1000000002-2-1-1-1111000000000000
χ5222-2-2-222222-1-1-1-2-2-2-2-1-1-1111111-222-2-2-2-22-1-1-1222-2-22111-1-1-1111111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1-222-222-2-2-1-1-1-1-1-111111100000000-22111-1-1-1000000000000
χ5322-2-2-22-122-1ζ44−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+ζ682-1-2-2221-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-11-1-11-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ682-22-2-1-111ζ44−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+ζ6800000000-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
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χ1368-8−8i8i0-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684i−4i4i−4i−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ14−4ζ62+4ζ704ζ14+4ζ62−4ζ70−4ζ22+4ζ62−4ζ704ζ22−4ζ62+4ζ704ζ14+4ζ22−4ζ14−4ζ220200000-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000−2i2i00002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−8i8i0-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684i−4i4i−4i−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ22+4ζ62−4ζ704ζ22−4ζ62+4ζ704ζ14+4ζ22−4ζ14−4ζ22−4ζ14−4ζ62+4ζ704ζ14+4ζ62−4ζ700200000-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000−2i2i00002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8−8i8i0-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524i−4i4i−4i4ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ14+4ζ22−4ζ14−4ζ22−4ζ14−4ζ62+4ζ704ζ14+4ζ62−4ζ70−4ζ22+4ζ62−4ζ704ζ22−4ζ62+4ζ700200000-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000−2i2i0000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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