Finite Group Databasebeta

← Group #10711552

Character table — Group #10711552

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1244888822234446668888881212121224242424242424246612121616161616161616242424244848484848484848484848484848484844881212121216161616242424244848484848484848444488881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ91111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1-1-111ii−i−iii−i−i
χ101111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−iii−i−iii
χ111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−iii
χ121111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i
χ131111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−iii−i−iii
χ141111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-11111-1-1ii−i−iii−i−i
χ151111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i1111-1-1-1-1−i−iiiii−i−i
χ161111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-1-1-1-11111ii−i−i−i−iii
χ1722222222222-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000000000000
χ1922222222222-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ2022222222222-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ21222222222-2-222-2-222222-2-2-2-2222222222222-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000002i−2i002i−2i0000000000
χ22222222222-2-222-2-222222-2-2-2-2222222222222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000−2i2i00−2i2i0000000000
χ2322222222-22-22-22-22-2-2-2-222-2-222-2-2-2-2-2-222222-22-20000000022-2-200000000000000002i−2i2i−2i2i2i−2i−2i00002i2i−2i−2i000000000000000000000000
χ2422222222-22-22-22-22-2-2-2-222-2-222-2-2-2-2-2-222222-22-20000000022-2-20000000000000000−2i2i−2i2i−2i−2i2i2i0000−2i−2i2i2i000000000000000000000000
χ2522222222-22-2-1-22-2-111-2-222-2-2-1-1111111-1-1-1-1-11-1100000000-1-1113333−3−3−3−33333−3−3−3−32i−2i2i−2i−i−iii0000−i−iii−i3−i3i3i3−i3−i3i3i30000000000000000
χ2622222222-22-2-1-22-2-111-2-222-2-2-1-1111111-1-1-1-1-11-1100000000-1-1113333−3−3−3−33333−3−3−3−3−2i2i−2i2iii−i−i0000ii−i−ii3i3−i3−i3i3i3−i3−i30000000000000000
χ2722222222-22-2-1-22-2-111-2-222-2-2-1-1111111-1-1-1-1-11-1100000000-1-111−3−3−3−33333−3−3−3−333332i−2i2i−2i−i−iii0000−i−iiii3i3−i3−i3i3i3−i3−i30000000000000000
χ2822222222-22-2-1-22-2-111-2-222-2-2-1-1111111-1-1-1-1-11-1100000000-1-111−3−3−3−33333−3−3−3−33333−2i2i−2i2iii−i−i0000ii−i−i−i3−i3i3i3−i3−i3i3i30000000000000000
χ2922222222-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-2-22222-22-2200000000-2-2220000000000000000000000000000000000000000002-2002-200000000
χ3022222222-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-2-22222-22-2200000000-2-222000000000000000000000000000000000000000000-2200-2200000000
χ312222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii22-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii0000000000000000
χ322222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii-2-2221111−2i−2i2i2i-1-1-1-1iiii−i−i−i−i0000000000000000
χ332222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i22-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i0000000000000000
χ342222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i-2-22211112i2i−2i−2i-1-1-1-1−i−i−i−iiiii0000000000000000
χ352222-2-2-2-22-2-222-2-2222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000000000002i−2i00−2i2i0000000000
χ362222-2-2-2-22-2-222-2-2222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000000000−2i2i002i−2i0000000000
χ372222-2-2-2-2-22-22-22-22-2-222-2-22222-2-22222-2-2-2-22-22-200000000-2-22200000000000000002i−2i−2i2i2i2i−2i−2i0000−2i−2i2i2i000000000000000000000000
χ382222-2-2-2-2-22-22-22-22-2-222-2-22222-2-22222-2-2-2-22-22-200000000-2-2220000000000000000−2i2i2i−2i−2i−2i2i2i00002i2i−2i−2i000000000000000000000000
χ392222-2-2-2-2-22-2-1-22-2-11122-2-222-1-111-1-1-1-11111-11-110000000011-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32i−2i−2i2i−i−iii0000ii−i−i−3−33333−3−30000000000000000
χ402222-2-2-2-2-22-2-1-22-2-11122-2-222-1-111-1-1-1-11111-11-110000000011-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−2i2i2i−2iii−i−i0000−i−iii33−3−3−3−3330000000000000000
χ412222-2-2-2-2-22-2-1-22-2-11122-2-222-1-111-1-1-1-11111-11-110000000011-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32i−2i−2i2i−i−iii0000ii−i−i33−3−3−3−3330000000000000000
χ422222-2-2-2-2-22-2-1-22-2-11122-2-222-1-111-1-1-1-11111-11-110000000011-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−2i2i2i−2iii−i−i0000−i−iii−3−33333−3−30000000000000000
χ432222-2-2-2-2-2-222-2-222-2-22222-2-222-2-22222-2-2-2-2-22-220000000022-2-20000000000000000000000000000000000000000002-200-2200000000
χ442222-2-2-2-2-2-222-2-222-2-22222-2-222-2-22222-2-2-2-2-22-220000000022-2-2000000000000000000000000000000000000000000-22002-200000000
χ4522-2-22i2i−2i−2i2222-2-2-22222i−2i2i−2i2i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46
χ4622-2-22i2i−2i−2i2222-2-2-22222i−2i2i−2i2i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2000000002i−2i2i−2i00000000000000000000000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46
χ4722-2-22i2i−2i−2i2-2-22-2222222i−2i−2i2i−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-22200000000−2i2i−2i2i000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ460000000000000000
χ4822-2-22i2i−2i−2i2-2-22-2222222i−2i−2i2i−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-22200000000−2i2i−2i2i0000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600002ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ460000000000000000
χ4922-2-22i2i−2i−2i2-2-2-1-222-1-1-12i−2i−2i2i−2i2i1111−i−iii−i−iii11-1-100000000i−ii−iζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ460000−i3i3−i3i3−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ463−33−3ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ460000000000000000
χ5022-2-22i2i−2i−2i2-2-2-1-222-1-1-12i−2i−2i2i−2i2i1111−i−iii−i−iii11-1-100000000i−ii−iζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ460000i3−i3i3−i32ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−33−33−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ460000000000000000
χ5122-2-22i2i−2i−2i2-2-2-1-222-1-1-12i−2i−2i2i−2i2i1111−i−iii−i−iii11-1-100000000i−ii−i−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ460000−i3i3−i3i32ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ463−33−3−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ460000000000000000
χ5222-2-22i2i−2i−2i2-2-2-1-222-1-1-12i−2i−2i2i−2i2i1111−i−iii−i−iii11-1-100000000i−ii−i−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ460000i3−i3i3−i3−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−33−33ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ460000000000000000
χ5322-2-22i2i−2i−2i-22-222-222-2-2−2i2i2i−2i−2i2i-2-222−2i−2i2i2i2i2i−2i−2i2-2-22000000002i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000
χ5422-2-22i2i−2i−2i-22-222-222-2-2−2i2i2i−2i−2i2i-2-222−2i−2i2i2i2i2i−2i−2i2-2-22000000002i−2i−2i2i0000000000000000000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000
χ5522-2-22i2i−2i−2i-2-22222-22-2-2−2i2i−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-222-22ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2i2i2i−2i2ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ260000000000000000000000000000000000000000
χ5622-2-22i2i−2i−2i-2-22222-22-2-2−2i2i−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-222-2−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2i2i2i−2i−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ260000000000000000000000000000000000000000
χ5722-2-22i2i−2i−2i-2-22-122-2-111−2i2i−2i2i2i−2i11-1-1ii−i−i−i−iii1-1-112ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26i−i−ii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600003−3−330000i3−i3−i3i3ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ460000000000000000
χ5822-2-22i2i−2i−2i-2-22-122-2-111−2i2i−2i2i2i−2i11-1-1ii−i−i−i−iii1-1-112ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26i−i−ii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ260000−333−30000−i3i3i3−i3−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ460000000000000000
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χ964-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ26000-200022i3−2i3000000−2i2i−2323−2ζ14+2ζ462ζ14−2ζ462ζ10−2ζ26−2ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ290000ζ11−ζ31−ζ43−ζ47−ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43−ζ47ζ11−ζ31+ζ43+ζ47−ζ11−ζ31−ζ43+ζ47ζ11+ζ31+ζ43−ζ47−ζ11−ζ31+ζ43−ζ47ζ11+ζ31−ζ43+ζ47−ζ13+ζ25+ζ29+ζ41ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29+ζ41ζ13+ζ25+ζ29−ζ41−ζ13+ζ25−ζ29−ζ41ζ13−ζ25+ζ29+ζ41ζ13+ζ25−ζ29+ζ41−ζ13−ζ25+ζ29−ζ410000000000000000000000000000000000000000
χ974-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460004000-400000000−4i4i000000−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ470000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ430000000000000000000000000000000000000000
χ984-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460004000-400000000−4i4i000000−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ4600002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ4700002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ430000000000000000000000000000000000000000
χ994-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46000-20002−2i32i30000002i−2i−2323−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ470000ζ13+ζ25+ζ29−ζ41−ζ13−ζ25−ζ29+ζ41ζ13−ζ25−ζ29−ζ41−ζ13+ζ25+ζ29+ζ41−ζ13−ζ25+ζ29−ζ41ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29+ζ41−ζ13+ζ25−ζ29−ζ41−ζ11+ζ31−ζ43−ζ47ζ11−ζ31+ζ43+ζ47ζ11−ζ31−ζ43−ζ47−ζ11+ζ31+ζ43+ζ47−ζ11−ζ31+ζ43−ζ47ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43+ζ47ζ11+ζ31+ζ43−ζ470000000000000000000000000000000000000000
χ1004-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46000-20002−2i32i30000002i−2i−2323−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ470000−ζ13−ζ25−ζ29+ζ41ζ13+ζ25+ζ29−ζ41−ζ13+ζ25+ζ29+ζ41ζ13−ζ25−ζ29−ζ41ζ13+ζ25−ζ29+ζ41−ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29−ζ41ζ13−ζ25+ζ29+ζ41ζ11−ζ31+ζ43+ζ47−ζ11+ζ31−ζ43−ζ47−ζ11+ζ31+ζ43+ζ47ζ11−ζ31−ζ43−ζ47ζ11+ζ31−ζ43+ζ47−ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43−ζ47−ζ11−ζ31−ζ43+ζ470000000000000000000000000000000000000000
χ1014-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46000-200022i3−2i30000002i−2i23−232ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ470000ζ13−ζ25+ζ29+ζ41−ζ13+ζ25−ζ29−ζ41−ζ13−ζ25+ζ29−ζ41ζ13+ζ25−ζ29+ζ41ζ13−ζ25−ζ29−ζ41−ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29−ζ41−ζ13−ζ25−ζ29+ζ41−ζ11−ζ31−ζ43+ζ47ζ11+ζ31+ζ43−ζ47−ζ11−ζ31+ζ43−ζ47ζ11+ζ31−ζ43+ζ47ζ11−ζ31−ζ43−ζ47−ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43−ζ47ζ11−ζ31+ζ43+ζ470000000000000000000000000000000000000000
χ1024-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46000-200022i3−2i30000002i−2i23−232ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ470000−ζ13+ζ25−ζ29−ζ41ζ13−ζ25+ζ29+ζ41ζ13+ζ25−ζ29+ζ41−ζ13−ζ25+ζ29−ζ41−ζ13+ζ25+ζ29+ζ41ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29+ζ41ζ13+ζ25+ζ29−ζ41ζ11+ζ31+ζ43−ζ47−ζ11−ζ31−ζ43+ζ47ζ11+ζ31−ζ43+ζ47−ζ11−ζ31+ζ43−ζ47−ζ11+ζ31+ζ43+ζ47ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43+ζ47−ζ11+ζ31−ζ43−ζ470000000000000000000000000000000000000000
χ1034-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460004000-400000000−4i4i0000004ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ430000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ412ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ470000000000000000000000000000000000000000
χ1044-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460004000-400000000−4i4i0000004ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ4600002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ4300002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ470000000000000000000000000000000000000000
χ1054-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46000-20002−2i32i30000002i−2i−23232ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ430000−ζ13+ζ25+ζ29+ζ41ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29−ζ41−ζ13−ζ25−ζ29+ζ41ζ13−ζ25+ζ29+ζ41−ζ13+ζ25−ζ29−ζ41ζ13+ζ25−ζ29+ζ41−ζ13−ζ25+ζ29−ζ41ζ11−ζ31−ζ43−ζ47−ζ11+ζ31+ζ43+ζ47ζ11−ζ31+ζ43+ζ47−ζ11+ζ31−ζ43−ζ47ζ11+ζ31+ζ43−ζ47−ζ11−ζ31−ζ43+ζ47−ζ11−ζ31+ζ43−ζ47ζ11+ζ31−ζ43+ζ470000000000000000000000000000000000000000
χ1064-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46000-20002−2i32i30000002i−2i−23232ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ430000ζ13−ζ25−ζ29−ζ41−ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29+ζ41ζ13+ζ25+ζ29−ζ41−ζ13+ζ25−ζ29−ζ41ζ13−ζ25+ζ29+ζ41−ζ13−ζ25+ζ29−ζ41ζ13+ζ25−ζ29+ζ41−ζ11+ζ31+ζ43+ζ47ζ11−ζ31−ζ43−ζ47−ζ11+ζ31−ζ43−ζ47ζ11−ζ31+ζ43+ζ47−ζ11−ζ31−ζ43+ζ47ζ11+ζ31+ζ43−ζ47ζ11+ζ31−ζ43+ζ47−ζ11−ζ31+ζ43−ζ470000000000000000000000000000000000000000
χ1074-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46000-200022i3−2i30000002i−2i23−23−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ430000ζ13+ζ25−ζ29+ζ41−ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29+ζ41−ζ13+ζ25−ζ29−ζ41ζ13+ζ25+ζ29−ζ41−ζ13−ζ25−ζ29+ζ41−ζ13+ζ25+ζ29+ζ41ζ13−ζ25−ζ29−ζ41−ζ11−ζ31+ζ43−ζ47ζ11+ζ31−ζ43+ζ47ζ11+ζ31+ζ43−ζ47−ζ11−ζ31−ζ43+ζ47ζ11−ζ31+ζ43+ζ47−ζ11+ζ31−ζ43−ζ47ζ11−ζ31−ζ43−ζ47−ζ11+ζ31+ζ43+ζ470000000000000000000000000000000000000000
χ1084-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46000-200022i3−2i30000002i−2i23−23−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ430000−ζ13−ζ25+ζ29−ζ41ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29−ζ41ζ13−ζ25+ζ29+ζ41−ζ13−ζ25−ζ29+ζ41ζ13+ζ25+ζ29−ζ41ζ13−ζ25−ζ29−ζ41−ζ13+ζ25+ζ29+ζ41ζ11+ζ31−ζ43+ζ47−ζ11−ζ31+ζ43−ζ47−ζ11−ζ31−ζ43+ζ47ζ11+ζ31+ζ43−ζ47−ζ11+ζ31−ζ43−ζ47ζ11−ζ31+ζ43+ζ47−ζ11+ζ31+ζ43+ζ47ζ11−ζ31−ζ43−ζ470000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.