Finite Group Databasebeta

← Group #11720859

Character table — Group #11720859

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222224444444444444444444444444444444444444444446666121212121212121212121212121212121818181827272727363636365454
order1244233466999121212121818183636363636363666669991212121212121818181818181818181818183636363636363636363636363636368888242424247272727272727272727272722244888866121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-111-11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-11-111111-11-1-1-1
χ61111-111-11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1-11-1111
χ71111-111-11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111-11-1-1-1-1-11-11-111
χ81111-111-11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-111111-11-11-1-1
χ911-1-1111-111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiii−i−i−iiii−i−i−i1-1-11ii−i−i1-1-11i−i
χ1011-1-1111-111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiii−i−i−iiii−i−i−i-111-1−i−iii-111-1−ii
χ1111-1-1111-111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−iiii−i−i−iiii1-1-11−i−iii1-1-11−ii
χ1211-1-1111-111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−iiii−i−i−iiii-111-1ii−i−i-111-1i−i
χ1311-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−i−iii−i−iiiii−i−i−i−i−i−iiii11-1-1ii−i−i11-1-1−ii
χ1411-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−i−iii−i−iiiii−i−i−i−i−i−iiii-1-111−i−iii-1-111i−i
χ1511-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111−iii−i−iii−i−i−i−iiiiiii−i−i−i11-1-1−i−iii11-1-1i−i
χ1611-1-1-111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111−iii−i−iii−i−i−i−iiiiiii−i−i−i-1-111ii−i−i-1-111−ii
χ172222222222-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ182222222222-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111100000000000000
χ19222222-122-1222-1-122222222222-12-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022220000-1-1-1-100
χ20222222-122-1222-1-122222222222-12-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000111100
χ2122222-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-12-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1-1-1-1ζ44−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−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
χ2222222-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-12-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1-1-1-1ζ44−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−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-2-21111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
χ2322222-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-12-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-1-1-1-1ζ4−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+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000000000
χ2422222-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-12-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-1-1-1-1ζ4−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+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-2-21111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000000000
χ2522222-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-12-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12-1-1-1-1−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−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000000000
χ2622222-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-12-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12-1-1-1-1−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−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-2-2-21111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000000000
χ272222-222-222-1-1-12222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-2-222-2-2111111111-1-1-1111-1-1-1-1-1-111111122-2-222-2-2-1-1-1-1-1-111111100000000000000
χ282222-222-222-1-1-12222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-2-222-2-2111111111-1-1-1111-1-1-1-1-1-1111111-2-222-2-222111111-1-1-1-1-1-100000000000000
χ292222-22-1-22-1222-1-122222222222-1-2111-1-1-1-1-21-1-111-2-2-2111111-1-1-1-2-2-2-1-1-1-1-1-1111111000000000000000000002-22-20000-11-1100
χ302222-22-1-22-1222-1-122222222222-1-2111-1-1-1-1-21-1-111-2-2-2111111-1-1-1-2-2-2-1-1-1-1-1-111111100000000000000000000-22-2200001-11-100
χ312222-2-12-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-11-211-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-2-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−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−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6822-2-2-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
χ322222-2-12-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-11-211-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-2-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−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−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-2-22211-1-1−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−ζ6800000000000000
χ332222-2-12-2-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-11-211-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-2-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6822-2-2-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000000000
χ342222-2-12-2-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-11-211-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-2-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2-22211-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000000000
χ352222-2-12-2-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-11-211-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-2-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5222-2-2-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000000000
χ362222-2-12-2-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-11-211-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-2-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-2-22211-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000000000
χ3722-2-2222-222-1-1-1-2-2-2-2-1-1-1111111222222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111112i−2i2i−2i2i−2i2i−2i−i−i−iiii−i−i−iiii00000000000000
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χ894-44i−4i0-2-2022−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2i2i−2i2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70100-33-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200i−i−3i3i000ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ700000000000000000000000000000000000
χ904-4−4i4i0440-4-4-2-2-2−4i4i−4i4i2222i−2i2i−2i2i−2i40000-4-2-2-200−4i4i000000000002220002i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ914-4−4i4i04-20-424442i−2i−4i4i-4-4-4−4i4i−4i4i−4i4i-200002-2-2-2002i−2i000000000002220002i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ924-4−4i4i04-20-42-2-2-22i−2i−4i4i2222i−2i2i−2i2i−2i-200002111002i−2i000003-33-33-3-1-1-1000−ii−ii−ii−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ934-4−4i4i04-20-42-2-2-22i−2i−4i4i2222i−2i2i−2i2i−2i-200002111002i−2i00000-33-33-33-1-1-1000−ii−ii−ii3i−3i3i−3i3i−3i0000000000000000000000000000000000
χ944-4−4i4i0-2402-42ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−4i4i2i−2i−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22-2000022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68002i−2i00000000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ220000000000000000000000000000000000000000
χ954-4−4i4i0-2402-42ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−4i4i2i−2i−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70-2000022ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68002i−2i00000000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ700000000000000000000000000000000000000000
χ964-4−4i4i0-2402-4−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−4i4i2i−2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70-200002−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002i−2i000000000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520002ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ700000000000000000000000000000000000000000
χ974-4−4i4i0-2-20222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i2i−2i−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ221003-3-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800−ii−3i3i0002ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ700000000000000000000000000000000000
χ984-4−4i4i0-2-20222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i2i−2i−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22100-33-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800−ii3i−3i000−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ700000000000000000000000000000000000
χ994-4−4i4i0-2-20222ζ4−2ζ44+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+2ζ62−2ζ701003-3-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800−ii−3i3i000−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ700000000000000000000000000000000000
χ1004-4−4i4i0-2-20222ζ4−2ζ44+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+2ζ62−2ζ70100-33-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800−ii3i−3i000ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ700000000000000000000000000000000000
χ1014-4−4i4i0-2-2022−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i2i−2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ701003-3-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200−ii−3i3i000−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ700000000000000000000000000000000000
χ1024-4−4i4i0-2-2022−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i2i−2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70100-33-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200−ii3i−3i000ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ700000000000000000000000000000000000

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