Finite Group Databasebeta

← Group #16800190

Character table — Group #16800190

Order 3328.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size11111111444444444444444444444444444444888813131313131313131616161616161616161616161616161616161616161616161616161616161616161616161616161616162626262626262626525252525252525252525252525252525252104104104104104104104104104104104104
order1222222244444413131326262626262626262626262626262626262626262644444444444452525252525252525252525252525252525252525252525252525252525252525252525252525252525288888888224444888888888888444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii−i−iii
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−iii−i−i
χ91111111111-1-1-1-11111111111111111111111111-11-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11-11-11-1
χ101111111111-1-1-1-11111111111111111111111111-11-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-11-11-11-11
χ111111111111-1-1-1-11111111111111111111111111-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i-1-11111ii−i−i−i−i−i−iiiii1-11-1i−i−iii−i−ii
χ121111111111-1-1-1-11111111111111111111111111-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii-1-11111−i−iiiiiii−i−i−i−i1-11-1−iii−i−iii−i
χ131111111111-1-1-1-1111111111111111111111111-11-1111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11-11-11-11
χ141111111111-1-1-1-1111111111111111111111111-11-1111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11-11-11-11-1
χ151111111111-1-1-1-1111111111111111111111111-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11111ii−i−i−i−i−i−iiiii-11-11−iii−i−iii−i
χ161111111111-1-1-1-1111111111111111111111111-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11111−i−iiiiiii−i−i−i−i-11-11i−i−iii−i−ii
χ1711111111-1-111-1-111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-1-111-11111-1-1-1-1
χ1811111111-1-111-1-111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-111-1-1-1-1-11111
χ1911111111-1-111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-111−i−iiiii−i−i−i−iii1-1-11ii−i−i−i−iii
χ2011111111-1-111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-111ii−i−i−i−iiiii−i−i1-1-11−i−iiiii−i−i
χ2111111111-1-111-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-111-1-11-1-11-1-1-1-11111
χ2211111111-1-111-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111-1-111111-1-1-1-1
χ2311111111-1-111-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111iiii−i−i−i−i11-1-111−i−iiiii−i−i−i−iii-111-1−i−iiiii−i−i
χ2411111111-1-111-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111−i−i−i−iiiii11-1-111ii−i−i−i−iiiii−i−i-111-1ii−i−i−i−iii
χ2511111111-1-1-1-1111111111111111111111111111-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11-11-1-11-11
χ2611111111-1-1-1-1111111111111111111111111111-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-11-111-11-1
χ2711111111-1-1-1-1111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1−i−iii−i−iiiii−i−i-1-111i−i−ii−iii−i
χ2811111111-1-1-1-1111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1ii−i−iii−i−i−i−iii-1-111−iii−ii−i−ii
χ2911111111-1-1-1-111111111111111111111111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-11-111-11-1
χ3011111111-1-1-1-111111111111111111111111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-11-1-11-11
χ3111111111-1-1-1-111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111iiii−i−i−i−i1111-1-1−i−iii−i−iiiii−i−i11-1-1−iii−ii−i−ii
χ3211111111-1-1-1-111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111−i−i−i−iiiii1111-1-1ii−i−iii−i−i−i−iii11-1-1i−i−ii−iii−i
χ33222-22-2-2-22-20000222222222-2-2-2222-2-2-2-2-2-2-2-2-200002222-2-2-2-2222-2-2-200000000000000000000000000000000000022-2-222-2-22-200002-22-200000000000000000000
χ34222-22-2-2-22-20000222222222-2-2-2222-2-2-2-2-2-2-2-2-200002222-2-2-2-2222-2-2-2000000000000000000000000000000000000-2-222-2-2222-20000-22-2200000000000000000000
χ35222-22-2-2-22-20000222222222-2-2-2222-2-2-2-2-2-2-2-2-20000-2-2-2-22222222-2-2-20000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i-2200002i−2i−2i2i00000000000000000000
χ36222-22-2-2-22-20000222222222-2-2-2222-2-2-2-2-2-2-2-2-20000-2-2-2-22222222-2-2-2000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i-220000−2i2i2i−2i00000000000000000000
χ37222-22-2-2-2-220000222222222-2-2-2222-2-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-222200000000000000000000000000000000000022-2-222-2-2-220000-22-2200000000000000000000
χ38222-22-2-2-2-220000222222222-2-2-2222-2-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2222000000000000000000000000000000000000-2-222-2-222-2200002-22-200000000000000000000
χ39222-22-2-2-2-220000222222222-2-2-2222-2-2-2-2-2-2-2-2-20000-2-2-2-22222-2-2-22220000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i2-20000−2i2i2i−2i00000000000000000000
χ40222-22-2-2-2-220000222222222-2-2-2222-2-2-2-2-2-2-2-2-20000-2-2-2-22222-2-2-2222000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2-200002i−2i−2i2i00000000000000000000
χ412-2-222-22-200002i−2i222-2-2-2-2-2-2222222-2-2-2222-2-2-2000022-2-2-2-2220000000000000000000000000000002i2i2i−2i−2i−2i0000002i−2i2i−2i2i−2i2i−2i00002i−2i0000002-2002-2000000000000
χ422-2-222-22-200002i−2i222-2-2-2-2-2-2222222-2-2-2222-2-2-2000022-2-2-2-2220000000000000000000000000000002i2i2i−2i−2i−2i000000−2i2i−2i2i−2i2i−2i2i00002i−2i000000-2200-22000000000000
χ432-2-222-22-200002i−2i222-2-2-2-2-2-2222222-2-2-2222-2-2-20000-2-22222-2-20000000000000000000000000000002i2i2i−2i−2i−2i0000002-22-2-22-220000−2i2i000000−2i2i002i−2i000000000000
χ442-2-222-22-200002i−2i222-2-2-2-2-2-2222222-2-2-2222-2-2-20000-2-22222-2-20000000000000000000000000000002i2i2i−2i−2i−2i000000-22-222-22-20000−2i2i0000002i−2i00−2i2i000000000000
χ452-2-222-22-20000−2i2i222-2-2-2-2-2-2222222-2-2-2222-2-2-2000022-2-2-2-222000000000000000000000000000000−2i−2i−2i2i2i2i0000002i−2i2i−2i2i−2i2i−2i0000−2i2i000000-2200-22000000000000
χ462-2-222-22-20000−2i2i222-2-2-2-2-2-2222222-2-2-2222-2-2-2000022-2-2-2-222000000000000000000000000000000−2i−2i−2i2i2i2i000000−2i2i−2i2i−2i2i−2i2i0000−2i2i0000002-2002-2000000000000
χ472-2-222-22-20000−2i2i222-2-2-2-2-2-2222222-2-2-2222-2-2-20000-2-22222-2-2000000000000000000000000000000−2i−2i−2i2i2i2i0000002-22-2-22-2200002i−2i0000002i−2i00−2i2i000000000000
χ482-2-222-22-20000−2i2i222-2-2-2-2-2-2222222-2-2-2222-2-2-20000-2-22222-2-2000000000000000000000000000000−2i−2i−2i2i2i2i000000-22-222-22-200002i−2i000000−2i2i002i−2i000000000000
χ492-2-2-222-22002-200222-2-2-2-2-2-2-2-2-2222222-2-2-2222000022-2-222-2-2000000000000000000000000222-2-2-20000000000002i−2i−2i2i2i−2i−2i2i002-20000002i−2i002i−2i00000000000000
χ502-2-2-222-22002-200222-2-2-2-2-2-2-2-2-2222222-2-2-2222000022-2-222-2-2000000000000000000000000222-2-2-2000000000000−2i2i2i−2i−2i2i2i−2i002-2000000−2i2i00−2i2i00000000000000
χ512-2-2-222-22002-200222-2-2-2-2-2-2-2-2-2222222-2-2-22220000-2-222-2-222000000000000000000000000222-2-2-20000000000002-2-22-222-200-220000002-200-2200000000000000
χ522-2-2-222-22002-200222-2-2-2-2-2-2-2-2-2222222-2-2-22220000-2-222-2-222000000000000000000000000222-2-2-2000000000000-222-22-2-2200-22000000-22002-200000000000000
χ532-2-2-222-2200-2200222-2-2-2-2-2-2-2-2-2222222-2-2-2222000022-2-222-2-2000000000000000000000000-2-2-22220000000000002i−2i−2i2i2i−2i−2i2i00-22000000−2i2i00−2i2i00000000000000
χ542-2-2-222-2200-2200222-2-2-2-2-2-2-2-2-2222222-2-2-2222000022-2-222-2-2000000000000000000000000-2-2-2222000000000000−2i2i2i−2i−2i2i2i−2i00-220000002i−2i002i−2i00000000000000
χ552-2-2-222-2200-2200222-2-2-2-2-2-2-2-2-2222222-2-2-22220000-2-222-2-222000000000000000000000000-2-2-22220000000000002-2-22-222-2002-2000000-22002-200000000000000
χ562-2-2-222-2200-2200222-2-2-2-2-2-2-2-2-2222222-2-2-22220000-2-222-2-222000000000000000000000000-2-2-2222000000000000-222-22-2-22002-20000002-200-2200000000000000
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χ1218-8-888-88-800008i−8i−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38000000000000000000000000000000000000000000−2ζ3−2ζ11−2ζ15−2ζ23−2ζ7−2ζ19−2ζ35−2ζ43−2ζ27−2ζ31−2ζ47−2ζ512ζ3+2ζ11+2ζ15+2ζ232ζ7+2ζ19+2ζ35+2ζ432ζ27+2ζ31+2ζ47+2ζ5100000000000000000000000000000000000000000000
χ1228-8-888-88-80000−8i8i−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ500000000000000000000000000000000000000000002ζ7+2ζ19+2ζ35+2ζ432ζ27+2ζ31+2ζ47+2ζ512ζ3+2ζ11+2ζ15+2ζ23−2ζ7−2ζ19−2ζ35−2ζ43−2ζ27−2ζ31−2ζ47−2ζ51−2ζ3−2ζ11−2ζ15−2ζ2300000000000000000000000000000000000000000000
χ1238-8-888-88-80000−8i8i−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ460000000000000000000000000000000000000000002ζ27+2ζ31+2ζ47+2ζ512ζ3+2ζ11+2ζ15+2ζ232ζ7+2ζ19+2ζ35+2ζ43−2ζ27−2ζ31−2ζ47−2ζ51−2ζ3−2ζ11−2ζ15−2ζ23−2ζ7−2ζ19−2ζ35−2ζ4300000000000000000000000000000000000000000000
χ1248-8-888-88-80000−8i8i−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ380000000000000000000000000000000000000000002ζ3+2ζ11+2ζ15+2ζ232ζ7+2ζ19+2ζ35+2ζ432ζ27+2ζ31+2ζ47+2ζ51−2ζ3−2ζ11−2ζ15−2ζ23−2ζ7−2ζ19−2ζ35−2ζ43−2ζ27−2ζ31−2ζ47−2ζ5100000000000000000000000000000000000000000000
χ1258-8-8-888-88008-800−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50000000000000000000000000000000000000−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ5000000000000000000000000000000000000000000000000000
χ1268-8-8-888-88008-800−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46000000000000000000000000000000000000−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ4600000000000000000000000000000000000000000000000000
χ1278-8-8-888-88008-800−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38000000000000000000000000000000000000−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ3800000000000000000000000000000000000000000000000000
χ1288-8-8-888-8800-8800−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ500000000000000000000000000000000000002ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ5000000000000000000000000000000000000000000000000000
χ1298-8-8-888-8800-8800−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ460000000000000000000000000000000000002ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ4600000000000000000000000000000000000000000000000000
χ1308-8-8-888-8800-8800−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ380000000000000000000000000000000000002ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ3800000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 52 (ζ52 = 1); i = ζ13.