Finite Group Databasebeta

← Group #10695089

Character table — Group #10695089

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122244442234444444444666121212124444444466121212121212121212121212121212121212121212121212121288888888888888882466881212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
χ91111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i1-1i−i
χ101111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-11−ii
χ111111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−i-11−ii
χ121111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iii1-1i−i
χ131111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii1-1−ii
χ141111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-11i−i
χ151111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii-11i−i
χ161111-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i1-1−ii
χ1722222222222-2-2-2-222-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1822222222222-2-2-2-222-2-2-2-22222222-2-222-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ192222222222-12222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-10000
χ202222222222-12222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-21111110000
χ212222222222-12222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-1-1-2-2-1-111110000
χ222222222222-12222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2112211-1-1-1-10000
χ232222222222-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-111111111-1-1-1-1-1-11111-1-1-1-11111000000000000000000−i3i300−i3i3−i3i3−i3i30000
χ242222222222-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-111111111-1-1-1-1-1-11111-1-1-1-11111000000000000000000i3−i300i3−i3i3−i3i3−i30000
χ252222222222-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-222-1-111111111-1-11111-1-1-1-11111-1-1-1-1000000000000000000−i3i300−i3i3i3−i3i3−i30000
χ262222222222-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-222-1-111111111-1-11111-1-1-1-11111-1-1-1-1000000000000000000i3−i300i3−i3−i3i3−i3i30000
χ2722222222-2-2222-2-2-2-2-2-222222222200000000-2-222-2-222-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ2822222222-2-2222-2-2-2-2-2-222222222200000000-2-222-2-222-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ2922222222-2-22-2-222-2-222-2-2222222200000000-2-2-2-222-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ3022222222-2-22-2-222-2-222-2-2222222200000000-2-2-2-222-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ312222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2000000002222-2-2-2-222-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ322222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2000000002222-2-2-2-222-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ332222-2-2-2-2222-2-2-2-2-2-22222222-2-2-2-20000000022-2-22222-2-2-2-2000000000000000022-2-2-2-222000000000000000000000000
χ342222-2-2-2-2222-2-2-2-2-2-22222222-2-2-2-20000000022-2-22222-2-2-2-20000000000000000-2-22222-2-2000000000000000000000000
χ352222-2-2-2-2-2-22-2-22222-2-222222-2-2-2-22i2i−2i−2i−2i−2i2i2i-2-2-2-2-2-22222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ362222-2-2-2-2-2-22-2-22222-2-222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2-2-2-2-2-2222222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ372222-2-2-2-2-2-2-122-2-22222-2-2-1-1-111112i2i2i2i−2i−2i−2i−2i11-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii00000000000000002-2-1-12i−2i11−i−iii0000
χ382222-2-2-2-2-2-2-122-2-22222-2-2-1-1-111112i2i2i2i−2i−2i−2i−2i11-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-2211−2i2i-1-1ii−i−i0000
χ392222-2-2-2-2-2-2-122-2-22222-2-2-1-1-11111−2i−2i−2i−2i2i2i2i2i11-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i00000000000000002-2-1-1−2i2i11ii−i−i0000
χ402222-2-2-2-2-2-2-122-2-22222-2-2-1-1-11111−2i−2i−2i−2i2i2i2i2i11-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i0000000000000000-22112i−2i-1-1−i−iii0000
χ412222-2-2-2-2-2-2-1-2-22222-2-222-1-1-111112i2i−2i−2i−2i−2i2i2i111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000−i3i300i3−i33−3−330000
χ422222-2-2-2-2-2-2-1-2-22222-2-222-1-1-111112i2i−2i−2i−2i−2i2i2i111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000i3−i300−i3i3−333−30000
χ432222-2-2-2-2-2-2-1-2-22222-2-222-1-1-11111−2i−2i2i2i2i2i−2i−2i111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000−i3i300i3−i3−333−30000
χ442222-2-2-2-2-2-2-1-2-22222-2-222-1-1-11111−2i−2i2i2i2i2i−2i−2i111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000i3−i300−i3i33−3−330000
χ4522-2-22i−2i2i−2i002002i−2i002-2002-2-22i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00002-2002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i002-2002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4622-2-22i−2i2i−2i002002i−2i002-2002-2-22i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00002-2002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00-2200−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4722-2-22i−2i2i−2i002002i−2i002-2002-2-22i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002-2002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i002-2002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4822-2-22i−2i2i−2i002002i−2i002-2002-2-22i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002-2002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00-2200−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4922-2-22i−2i2i−2i00200−2i2i00-22002-2-22i−2i2i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000-2200−2i2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i2-2002i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ5022-2-22i−2i2i−2i00200−2i2i00-22002-2-22i−2i2i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000-2200−2i2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i-2200−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ5122-2-22i−2i2i−2i00200−2i2i00-22002-2-22i−2i2i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000-2200−2i2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i2-2002i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ5222-2-22i−2i2i−2i00200−2i2i00-22002-2-22i−2i2i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000-2200−2i2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i-2200−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ5322-2-2−2i2i−2i2i002002i−2i00-22002-2-2−2i2i−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000-22002i−2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2-200−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ5422-2-2−2i2i−2i2i002002i−2i00-22002-2-2−2i2i−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000-22002i−2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i-22002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ5522-2-2−2i2i−2i2i002002i−2i00-22002-2-2−2i2i−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000-22002i−2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2-200−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ5622-2-2−2i2i−2i2i002002i−2i00-22002-2-2−2i2i−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000-22002i−2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i-22002i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ5722-2-2−2i2i−2i2i00200−2i2i002-2002-2-2−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00002-200−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i002-200−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ5822-2-2−2i2i−2i2i00200−2i2i002-2002-2-2−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00002-200−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00-22002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ5922-2-2−2i2i−2i2i00200−2i2i002-2002-2-2−2i2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00002-200−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i002-200−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ6022-2-2−2i2i−2i2i00200−2i2i002-2002-2-2−2i2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00002-200−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00-22002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ6144444444-4-4-244-4-4-4-4-4-444-2-2-2-2-2-2-20000000022-2-222-2-22222000000000000000000000000000000000000000000000000
χ6244444444-4-4-2-4-444-4-444-4-4-2-2-2-2-2-2-2000000002222-2-222-2-222000000000000000000000000000000000000000000000000
χ634444-4-4-4-444-24444-4-4-4-4-4-4-2-2-2222200000000-2-2-2-22222-2-222000000000000000000000000000000000000000000000000
χ644444-4-4-4-444-2-4-4-4-4-4-44444-2-2-2222200000000-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ6544-4-44i−4i4i−4i00-2004i−4i004-400-222−2i2i−2i2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i0000-2200−2i2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00000000000000000000000000000000
χ6644-4-44i−4i4i−4i00-2004i−4i004-400-222−2i2i−2i2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000-2200−2i2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00000000000000000000000000000000
χ6744-4-44i−4i4i−4i00-200−4i4i00-4400-222−2i2i−2i2i2+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i00002-2002i−2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ6844-4-44i−4i4i−4i00-200−4i4i00-4400-222−2i2i−2i2i−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i00002-2002i−2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ6944-4-4−4i4i−4i4i00-2004i−4i00-4400-2222i−2i2i−2i2−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i00002-200−2i2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000000000000000000000000000
χ7044-4-4−4i4i−4i4i00-2004i−4i00-4400-2222i−2i2i−2i−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i00002-200−2i2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000000000000000000000000000
χ7144-4-4−4i4i−4i4i00-200−4i4i004-400-2222i−2i2i−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0000-22002i−2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00000000000000000000000000000000
χ7244-4-4−4i4i−4i4i00-200−4i4i004-400-2222i−2i2i−2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000-22002i−2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00000000000000000000000000000000
χ734-44-44i−4i−4i4i0044-40000004i−4i-44-4−4i4i4i−4i00000000004-4004i−4i0000000000000000000000000000000000000000000000000000
χ744-44-44i−4i−4i4i004-44000000−4i4i-44-4−4i4i4i−4i0000000000-4400−4i4i0000000000000000000000000000000000000000000000000000
χ754-44-44i−4i−4i4i00-24-40000004i−4i2-222i−2i−2i2i0000000000-2200−2i2i0000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000
χ764-44-44i−4i−4i4i00-24-40000004i−4i2-222i−2i−2i2i0000000000-2200−2i2i0000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000
χ774-44-44i−4i−4i4i00-2-44000000−4i4i2-222i−2i−2i2i00000000002-2002i−2i0000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000
χ784-44-44i−4i−4i4i00-2-44000000−4i4i2-222i−2i−2i2i00000000002-2002i−2i0000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000
χ794-44-4−4i4i4i−4i0044-4000000−4i4i-44-44i−4i−4i4i00000000004-400−4i4i0000000000000000000000000000000000000000000000000000
χ804-44-4−4i4i4i−4i004-440000004i−4i-44-44i−4i−4i4i0000000000-44004i−4i0000000000000000000000000000000000000000000000000000
χ814-44-4−4i4i4i−4i00-24-4000000−4i4i2-22−2i2i2i−2i0000000000-22002i−2i0000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000
χ824-44-4−4i4i4i−4i00-24-4000000−4i4i2-22−2i2i2i−2i0000000000-22002i−2i0000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000
χ834-44-4−4i4i4i−4i00-2-440000004i−4i2-22−2i2i2i−2i00000000002-200−2i2i0000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000
χ844-44-4−4i4i4i−4i00-2-440000004i−4i2-22−2i2i2i−2i00000000002-200−2i2i0000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000
χ854-4-4444-4-44-4400004-40000-4-44-4-444000000004-4000000004-4000000000000000000000000000000000000000000000000
χ864-4-4444-4-44-4-200004-4000022-222-2-200000000-2200000000-22−2i32i32i3−2i30000−2i32i32i3−2i3000000000000000000000000000000000000
χ874-4-4444-4-44-4-200004-4000022-222-2-200000000-2200000000-222i3−2i3−2i32i300002i3−2i3−2i32i3000000000000000000000000000000000000
χ884-4-4444-4-4-4440000-440000-4-44-4-44400000000-4400000000-44000000000000000000000000000000000000000000000000
χ894-4-4444-4-4-44-20000-44000022-222-2-2000000002-2000000002-20000−2i32i32i3−2i30000−2i32i32i3−2i300000000000000000000000000000000
χ904-4-4444-4-4-44-20000-44000022-222-2-2000000002-2000000002-200002i3−2i3−2i32i300002i3−2i3−2i32i300000000000000000000000000000000
χ914-4-44-4-4444-440000-440000-4-4444-4-4000000004-400000000-44000000000000000000000000000000000000000000000000
χ924-4-44-4-4444-4-20000-44000022-2-2-22200000000-22000000002-2000023−23−23230000−232323−2300000000000000000000000000000000
χ934-4-44-4-4444-4-20000-44000022-2-2-22200000000-22000000002-20000−232323−23000023−23−232300000000000000000000000000000000
χ944-4-44-4-444-44400004-40000-4-4444-4-400000000-44000000004-4000000000000000000000000000000000000000000000000
χ954-4-44-4-444-44-200004-4000022-2-2-222000000002-200000000-2223−23−23230000−232323−23000000000000000000000000000000000000
χ964-4-44-4-444-44-200004-4000022-2-2-222000000002-200000000-22−232323−23000023−23−2323000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.