Finite Group Databasebeta

← Group #13139078

Character table — Group #13139078

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444888888888888888888888888888888881212121212121212121212121212121212121212181818181818181824242424242424243636363636363636108108108108
order124423346699912121212181818363636363636366688999121212121818181818182424242436363636363636363661218181824242424242436363672727272727272727272727272727272727288882424242472727272727272727272727288882424242424247272727272722466121224242444
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
χ5111111111111111111111111111111-1-11111111111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-11111111111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111
χ7111111111111111111111111111111-1-11111111111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111-1-11111111111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ911-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11i−i1111-1-11-1-1-1111ii−i−i-1-1-1-1-1-1111-11-1-1-1i−iii−i−i111iii−i−i−iiiiiii−i−i−i−i−i−ii−i1-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−ii−iiii−i−i−i1-111-1-1i−i1-1i−i
χ1011-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11i−i1111-1-11-1-1-1111ii−i−i-1-1-1-1-1-1111-11-1-1-1i−iii−i−i111iii−i−i−iiiiiii−i−i−i−i−i−ii−i1-111-1-1111111-1-1-1-1-1-1−i−iii−i−iiii−iiii−i−i−i-11-1-111−ii-11−ii
χ1111-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11i−i1111-1-11-1-1-1111ii−i−i-1-1-1-1-1-1111-11-1-1-1i−iii−i−i111iii−i−i−iiiiiii−i−i−i−i−i−i−ii-11-1-111-1-1-1-1-1-1111111ii−i−iii−i−i−ii−i−i−iiii1-111-1-1i−i-11−ii
χ1211-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11i−i1111-1-11-1-1-1111ii−i−i-1-1-1-1-1-1111-11-1-1-1i−iii−i−i111iii−i−i−iiiiiii−i−i−i−i−i−i−ii-11-1-111-1-1-1-1-1-1111111−i−iii−i−iii−ii−i−i−iiii-11-1-111−ii1-1i−i
χ1311-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11−ii1111-1-11-1-1-1111−i−iii-1-1-1-1-1-1111-11-1-1-1−ii−i−iii111−i−i−iiii−i−i−i−i−i−iiiiiiii−i-11-1-111-1-1-1-1-1-1111111ii−i−iii−i−ii−iiii−i−i−i-11-1-111i−i1-1−ii
χ1411-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11−ii1111-1-11-1-1-1111−i−iii-1-1-1-1-1-1111-11-1-1-1−ii−i−iii111−i−i−iiii−i−i−i−i−i−iiiiiiii−i-11-1-111-1-1-1-1-1-1111111−i−iii−i−iiii−iiii−i−i−i1-111-1-1−ii-11i−i
χ1511-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11−ii1111-1-11-1-1-1111−i−iii-1-1-1-1-1-1111-11-1-1-1−ii−i−iii111−i−i−iiii−i−i−i−i−i−iiiiiii−ii1-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i−ii−i−i−iiii-11-1-111i−i-11i−i
χ1611-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-11−ii1111-1-11-1-1-1111−i−iii-1-1-1-1-1-1111-11-1-1-1−ii−i−iii111−i−i−iiii−i−i−i−i−i−iiiiiii−ii1-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii−ii−i−i−iiii1-111-1-1−ii1-1−ii
χ172222222222-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1000000000000
χ182222222222-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111100000000-2-2111111000000000000
χ192222222222-1-1-12222-1-1-1-1-1-1-1-1-12222-2-2-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-2-1-1-111111111111111111122-2-2-2-2-2-21111111111110000000022-1-1-1-1-1-1000000000000
χ202222222222-1-1-12222-1-1-1-1-1-1-1-1-12222-2-2-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-2-1-1-1111111111111111111-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2111111000000000000
χ21222222-122-122222-1-1222222222-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-10000000022-1-1-1-1-1-10000
χ22222222-122-122222-1-1222222222-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111100000000-2-21111110000
χ23222222-122-122222-1-1222222222-12-1-1-2-2-1-1-1-1-1-12222-1-1-11111-1-1-1-1-1-1222-1-1-1-1-1-2-21111-1-1-1-2-2-2-2-2-2111111111111000000000000000000002222-1-1-1-100000000-2-21111-1-10000
χ24222222-122-122222-1-1222222222-12-1-1-2-2-1-1-1-1-1-12222-1-1-11111-1-1-1-1-1-1222-1-1-1-1-1-2-21111-1-1-1-2-2-2-2-2-211111111111100000000000000000000-2-2-2-211110000000022-1-1-1-1110000
χ2522222-122-12ζ44−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−ζ68-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+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−ζ6800000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ2622222-122-12ζ44−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−ζ68-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+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+ζ680000000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ2722222-122-12ζ44−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−ζ68-1-12-1-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-2-2ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68111111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+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+ζ6800000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ2822222-122-12ζ44−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−ζ68-1-12-1-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-2-2ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68111111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+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−ζ680000000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ2922222-122-12ζ4−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+ζ68-1-12-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682222ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+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+ζ6800000000-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ3022222-122-12ζ4−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+ζ68-1-12-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682222ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+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−ζ680000000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ3122222-122-12ζ4−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+ζ68-1-12-1-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-2-2ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68111111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+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−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
χ3222222-122-12ζ4−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+ζ68-1-12-1-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-2-2ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68111111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+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−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
χ3322222-122-12−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+ζ52-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522222−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−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−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
χ3422222-122-12−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+ζ52-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522222−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−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−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
χ3522222-122-12−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+ζ52-1-12-1-2-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-2-2−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52111111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+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−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
χ3622222-122-12−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+ζ52-1-12-1-2-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-2-2−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52111111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+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−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
χ372222-222-22222222222222222222-2-2200222-222-2-2-2-22220000222222-2-2-2-2-2-2-2-2000000-2-2-2000000000000000000000000000000000000002-22-2222200000000000000-2-20000
χ382222-222-22222222222222222222-2-2200222-222-2-2-2-22220000222222-2-2-2-2-2-2-2-2000000-2-2-200000000000000000000000000000000000000-22-22-2-2-2-200000000000000220000
χ392222-22-1-22-122222-1-1222222222-1-21-100-1-1-11-1-1-2-2-2-2-1-1-1−i3i3−i3i3-1-1-1-1-1-1-2-2-21111100−i3i3−i3i3111000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000002-22-2-1-1-1-10000000000−i3i3−i3i3110000
χ402222-22-1-22-122222-1-1222222222-1-21-100-1-1-11-1-1-2-2-2-2-1-1-1−i3i3−i3i3-1-1-1-1-1-1-2-2-21111100−i3i3−i3i3111000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000-22-2211110000000000i3−i3i3−i3-1-10000
χ412222-22-1-22-122222-1-1222222222-1-21-100-1-1-11-1-1-2-2-2-2-1-1-1i3−i3i3−i3-1-1-1-1-1-1-2-2-21111100i3−i3i3−i3111000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000002-22-2-1-1-1-10000000000i3−i3i3−i3110000
χ422222-22-1-22-122222-1-1222222222-1-21-100-1-1-11-1-1-2-2-2-2-1-1-1i3−i3i3−i3-1-1-1-1-1-1-2-2-21111100i3−i3i3−i3111000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000-22-2211110000000000−i3i3−i3i3-1-10000
χ4322-2-2222-222222-2-2-2-2222-2-2-2-2-2-2222200222-2-2-2-22222220000-2-2-2-2-2-2-2-2-22-2222000000-2-2-2000000000000000000000000000000000000002i−2i−2i2i2i2i−2i−2i00000000000000−2i2i0000
χ4422-2-2222-222222-2-2-2-2222-2-2-2-2-2-2222200222-2-2-2-22222220000-2-2-2-2-2-2-2-2-22-2222000000-2-2-200000000000000000000000000000000000000−2i2i2i−2i−2i−2i2i2i000000000000002i−2i0000
χ4522-2-222-1-22-1222-2-211222-2-2-2-2-2-2-12-1-100-1-1-1111-2222-1-1-13−3−33111111-2-2-2-11-1-1-1003−3−331110000003−33−33−3−33−33−33000000000000000000002i−2i−2i2i−i−iii0000000000−i3i3i3−i3i−i0000
χ4622-2-222-1-22-1222-2-211222-2-2-2-2-2-2-12-1-100-1-1-1111-2222-1-1-13−3−33111111-2-2-2-11-1-1-1003−3−331110000003−33−33−3−33−33−3300000000000000000000−2i2i2i−2iii−i−i0000000000i3−i3−i3i3−ii0000
χ4722-2-222-1-22-1222-2-211222-2-2-2-2-2-2-12-1-100-1-1-1111-2222-1-1-1−333−3111111-2-2-2-11-1-1-100−333−3111000000−33−33−333−33−33−3000000000000000000002i−2i−2i2i−i−iii0000000000i3−i3−i3i3i−i0000
χ4822-2-222-1-22-1222-2-211222-2-2-2-2-2-2-12-1-100-1-1-1111-2222-1-1-1−333−3111111-2-2-2-11-1-1-100−333−3111000000−33−33−333−33−33−300000000000000000000−2i2i2i−2iii−i−i0000000000−i3i3i3−i3−ii0000
χ4922-2-2-222222-1-1-1-2-2-2-2-1-1-11111112-2-222i−2i-1-1-12-2-22111-1-1-12i2i−2i−2i111111-1-1-1-221112i−2i2i2i−2i−2i-1-1-1−i−i−iiii−i−i−i−i−i−iiiiiii2i−2i2-222-2-2-1-1-1-1-1-1111111000000002i−2i−i−i−iiii000000000000
χ5022-2-2-222222-1-1-1-2-2-2-2-1-1-11111112-2-222i−2i-1-1-12-2-22111-1-1-12i2i−2i−2i111111-1-1-1-221112i−2i2i2i−2i−2i-1-1-1−i−i−iiii−i−i−i−i−i−iiiiiii−2i2i-22-2-222111111-1-1-1-1-1-100000000−2i2iiii−i−i−i000000000000
χ5122-2-2-222222-1-1-1-2-2-2-2-1-1-11111112-2-22−2i2i-1-1-12-2-22111-1-1-1−2i−2i2i2i111111-1-1-1-22111−2i2i−2i−2i2i2i-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−i2i−2i-22-2-222111111-1-1-1-1-1-1000000002i−2i−i−i−iiii000000000000
χ5222-2-2-222222-1-1-1-2-2-2-2-1-1-11111112-2-22−2i2i-1-1-12-2-22111-1-1-1−2i−2i2i2i111111-1-1-1-22111−2i2i−2i−2i2i2i-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−i−2i2i2-222-2-2-1-1-1-1-1-111111100000000−2i2iiii−i−i−i000000000000
χ5322-2-2-22-122-1222-2-211222-2-2-2-2-2-2-1-21-12i−2i-1-1-1-1112-2-2-2-1-1-1−i−iii1111112221-11112i−2i−i−iii-1-1-12i2i2i−2i−2i−2i−i−i−i−i−i−iiiiiii000000000000000000002i2i−2i−2i−i−iii000000002-2-1-111−ii0000
χ5422-2-2-22-122-1222-2-211222-2-2-2-2-2-2-1-21-12i−2i-1-1-1-1112-2-2-2-1-1-1−i−iii1111112221-11112i−2i−i−iii-1-1-12i2i2i−2i−2i−2i−i−i−i−i−i−iiiiiii00000000000000000000−2i−2i2i2iii−i−i00000000-2211-1-1i−i0000
χ5522-2-2-22-122-1222-2-211222-2-2-2-2-2-2-1-21-1−2i2i-1-1-1-1112-2-2-2-1-1-1ii−i−i1111112221-1111−2i2iii−i−i-1-1-1−2i−2i−2i2i2i2iiiiiii−i−i−i−i−i−i000000000000000000002i2i−2i−2i−i−iii00000000-2211-1-1−ii0000
χ5622-2-2-22-122-1222-2-211222-2-2-2-2-2-2-1-21-1−2i2i-1-1-1-1112-2-2-2-1-1-1ii−i−i1111112221-1111−2i2iii−i−i-1-1-1−2i−2i−2i2i2i2iiiiiii−i−i−i−i−i−i00000000000000000000−2i−2i2i2iii−i−i000000002-2-1-111i−i0000
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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+4ζ22−4ζ14−4ζ22200-200−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680−2i2i00002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800002ζ14+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+4ζ62−4ζ70200-200−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680−2i2i00002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800002ζ22−2ζ62+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+4ζ70200-2002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520−2i2i0000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000−2ζ14−2ζ222ζ14+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.