Finite Group Databasebeta

← Group #13016171

Character table — Group #13016171

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444444444444444444444445555888888888888888888888888101010101010101010102020202020202020202040404040404040404040404040404040
order12222244444444445888888881010102020202020202020202020202222101020202020202040404040404040404040404040404040224444444444888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ511111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-1-1-11-11iiii−i−i−i−i1111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-11-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-11-11iiii−i−i−i−i1111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-11-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111-1-1-1-1-1-11-11iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-11−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1
χ1211111111-1-1-1-1-1-11-11iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-11−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111
χ1311111111-1-1-1-1-1-11-11−i−i−i−iiiii1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-11-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1411111111-1-1-1-1-1-11-11−i−i−i−iiiii1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-11-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1511111111-1-1-1-1-1-11-11−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-11iiii−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ1611111111-1-1-1-1-1-11-11−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-11iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ171111-1-1-1-111-1-1111-1111-1-111-1-1111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-111-1-111-1-11-11-11-11-11-11-11-11-1
χ181111-1-1-1-111-1-1111-1111-1-111-1-1111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-111-1-111-1-1-11-11-11-11-11-11-11-11
χ191111-1-1-1-111-1-1111-1111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-1-111-1-111i−ii−i−ii−iii−ii−i−ii−ii
χ201111-1-1-1-111-1-1111-1111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-1-111-1-111−ii−iii−ii−i−ii−iii−ii−i
χ211111-1-1-1-111-1-1111-11-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-1111-11-11-11-1-11-11-11-11
χ221111-1-1-1-111-1-1111-11-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-111-11-11-11-111-11-11-11-1
χ231111-1-1-1-111-1-1111-11-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1111-1-111-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ241111-1-1-1-111-1-1111-11-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1111-1-111-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ251111-1-1-1-1-1-111-1-1111ii−i−i−i−iii111-1-1-1-11111-1-1-1-11111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-111-1-111ii−i−i−i−iii1-1-111-1-11i−i−iii−i−ii
χ261111-1-1-1-1-1-111-1-1111ii−i−i−i−iii111-1-1-1-11111-1-1-1-11111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-111-1-111ii−i−i−i−iii-111-1-111-1−iii−i−iii−i
χ271111-1-1-1-1-1-111-1-1111ii−i−i−i−iii111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii111111-1-111-1-1−i−iiiii−i−ii−i−ii−iii−i-111-11-1-11
χ281111-1-1-1-1-1-111-1-1111ii−i−i−i−iii111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii111111-1-111-1-1−i−iiiii−i−i−iii−ii−i−ii1-1-11-111-1
χ291111-1-1-1-1-1-111-1-1111−i−iiiii−i−i111-1-1-1-11111-1-1-1-11111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-111-1-111−i−iiiii−i−i1-1-111-1-11−iii−i−iii−i
χ301111-1-1-1-1-1-111-1-1111−i−iiiii−i−i111-1-1-1-11111-1-1-1-11111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-111-1-111−i−iiiii−i−i-111-1-111-1i−i−iii−i−ii
χ311111-1-1-1-1-1-111-1-1111−i−iiiii−i−i111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i111111-1-111-1-1ii−i−i−i−iiii−i−ii−iii−i1-1-11-111-1
χ321111-1-1-1-1-1-111-1-1111−i−iiiii−i−i111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i111111-1-111-1-1ii−i−i−i−iii−iii−ii−i−ii-111-11-1-11
χ33222222-2-22222-2-2-2-2200000000222-2-2-2-22222-2-2-2-2222222-2-222-2-2000000000000000022-2-2-2-22222-2-2000000000000000000000000
χ34222222-2-22222-2-2-2-2200000000222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-22222-2-2-2-222000000000000000000000000
χ35222222-2-2-2-2-2-222-22200000000222-2-2-2-2-2-2-2-22222222222-2-2-2-222000000000000000022-2-222-2-2-2-2-22000000000000000000000000
χ36222222-2-2-2-2-2-222-22200000000222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-222222-2000000000000000000000000
χ372222-2-22222-2-2-2-2-222000000002222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-222-2-2-2-222-22000000000000000000000000
χ382222-2-22222-2-2-2-2-222000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-22222-2-22-2000000000000000000000000
χ392222-2-222-2-22222-2-22000000002222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2222222-2-2-2-2000000000000000000000000
χ402222-2-222-2-22222-2-2200000000222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-22222000000000000000000000000
χ4122-2-22-2002i−2i2i−2i000021+i−1−i1+i−1−i1−i−1+i1−i−1+i2-2-200002i2i−2i−2i00002-22-22-2002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2-200002i−2i2i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4222-2-22-2002i−2i2i−2i000021+i−1−i1+i−1−i1−i−1+i1−i−1+i2-2-200002i2i−2i−2i0000-22-222-2002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i-220000−2i2i−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4322-2-22-2002i−2i2i−2i00002−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-2-200002i2i−2i−2i00002-22-22-2002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2-200002i−2i2i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4422-2-22-2002i−2i2i−2i00002−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-2-200002i2i−2i−2i0000-22-222-2002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i-220000−2i2i−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4522-2-22-200−2i2i−2i2i000021−i−1+i1−i−1+i1+i−1−i1+i−1−i2-2-20000−2i−2i2i2i00002-22-22-200−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2-20000−2i2i−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ4622-2-22-200−2i2i−2i2i000021−i−1+i1−i−1+i1+i−1−i1+i−1−i2-2-20000−2i−2i2i2i0000-22-222-200−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i-2200002i−2i2i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ4722-2-22-200−2i2i−2i2i00002−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-2-20000−2i−2i2i2i00002-22-22-200−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i2-20000−2i2i−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ4822-2-22-200−2i2i−2i2i00002−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-2-20000−2i−2i2i2i0000-22-222-200−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i-2200002i−2i2i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ4922-2-2-22002i−2i−2i2i000021+i−1−i−1−i1+i1−i−1+i−1+i1−i2-2-20000−2i−2i2i2i00002-22-2-22002i−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-220000−2i2i2i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ5022-2-2-22002i−2i−2i2i000021+i−1−i−1−i1+i1−i−1+i−1+i1−i2-2-20000−2i−2i2i2i0000-22-22-22002i−2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i2-200002i−2i−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ5122-2-2-22002i−2i−2i2i00002−1−i1+i1+i−1−i−1+i1−i1−i−1+i2-2-20000−2i−2i2i2i00002-22-2-22002i−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-220000−2i2i2i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ5222-2-2-22002i−2i−2i2i00002−1−i1+i1+i−1−i−1+i1−i1−i−1+i2-2-20000−2i−2i2i2i0000-22-22-22002i−2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i2-200002i−2i−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ5322-2-2-2200−2i2i2i−2i000021−i−1+i−1+i1−i1+i−1−i−1−i1+i2-2-200002i2i−2i−2i00002-22-2-2200−2i2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i-2200002i−2i−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ5422-2-2-2200−2i2i2i−2i000021−i−1+i−1+i1−i1+i−1−i−1−i1+i2-2-200002i2i−2i−2i0000-22-22-2200−2i2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2-20000−2i2i2i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ5522-2-2-2200−2i2i2i−2i00002−1+i1−i1−i−1+i−1−i1+i1+i−1−i2-2-200002i2i−2i−2i00002-22-2-2200−2i2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i-2200002i−2i−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ5622-2-2-2200−2i2i2i−2i00002−1+i1−i1−i−1+i−1−i1+i1+i−1−i2-2-200002i2i−2i−2i0000-22-22-2200−2i2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2-20000−2i2i2i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ574444444444444444-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ584444444444444444-1-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000
χ5944444444-4-4-4-4-4-44-4-14i4i4i4i−4i−4i−4i−4i-1-1-1-1-1-1-1111111110000-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000000000000000
χ6044444444-4-4-4-4-4-44-4-1−4i−4i−4i−4i4i4i4i4i-1-1-1-1-1-1-1111111110000-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000000000000000
χ61444444-4-44444-4-4-4-4-100000000-1-1-11111-1-1-1-111110000-1-111-1-111i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000000000
χ62444444-4-44444-4-4-4-4-100000000-1-1-11111-1-1-1-111110000-1-111-1-111−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000000000
χ63444444-4-4-4-4-4-444-44-100000000-1-1-111111111-1-1-1-10000-1-11111-1-15−55−55−55−5−55−55−55−55000000000000000000000000000000000000
χ64444444-4-4-4-4-4-444-44-100000000-1-1-111111111-1-1-1-10000-1-11111-1-1−55−55−55−555−55−55−55−5000000000000000000000000000000000000
χ654444-4-44444-4-4-4-4-44-100000000-1-1-1-1-1-1-11111111100001111-1-1-1-1i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000
χ664444-4-44444-4-4-4-4-44-100000000-1-1-1-1-1-1-11111111100001111-1-1-1-1−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000
χ674444-4-444-4-44444-4-4-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111111115−55−5−55−55−55−555−55−5000000000000000000000000000000000000
χ684444-4-444-4-44444-4-4-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111−55−555−55−55−55−5−55−55000000000000000000000000000000000000
χ694444-4-4-4-444-4-4444-4-144-4-444-4-4-1-1-111111111-1-1-1-1000011-1-1-1-111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000
χ704444-4-4-4-444-4-4444-4-1-4-444-4-444-1-1-111111111-1-1-1-1000011-1-1-1-1111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ714444-4-4-4-4-4-444-4-444-14i4i−4i−4i−4i−4i4i4i-1-1-11111-1-1-1-11111000011-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000000000000000
χ724444-4-4-4-4-4-444-4-444-1−4i−4i4i4i4i4i−4i−4i-1-1-11111-1-1-1-11111000011-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000000000000000
χ7344-4-44-4004i−4i4i−4i0000-12+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i-111i5i5−i5−i5−i−iii55−5−50000-11i5−i5−ii5−5−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14000000000000000000000000000000000000
χ7444-4-44-4004i−4i4i−4i0000-12+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i-111−i5−i5i5i5−i−iii−5−5550000-11−i5i5−ii−55−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19000000000000000000000000000000000000
χ7544-4-44-4004i−4i4i−4i0000-1−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i-111i5i5−i5−i5−i−iii55−5−50000-11i5−i5−ii5−5ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14000000000000000000000000000000000000
χ7644-4-44-4004i−4i4i−4i0000-1−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i-111−i5−i5i5i5−i−iii−5−5550000-11−i5i5−ii−55ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19000000000000000000000000000000000000
χ7744-4-44-400−4i4i−4i4i0000-12−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i-111i5i5−i5−i5ii−i−i−5−5550000-11i5−i5i−i−55−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19000000000000000000000000000000000000
χ7844-4-44-400−4i4i−4i4i0000-12−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i-111−i5−i5i5i5ii−i−i55−5−50000-11−i5i5i−i5−5ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14000000000000000000000000000000000000
χ7944-4-44-400−4i4i−4i4i0000-1−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i-111i5i5−i5−i5ii−i−i−5−5550000-11i5−i5i−i−55ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19000000000000000000000000000000000000
χ8044-4-44-400−4i4i−4i4i0000-1−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i-111−i5−i5i5i5ii−i−i55−5−50000-11−i5i5i−i5−5−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14000000000000000000000000000000000000
χ8144-4-4-44004i−4i−4i4i0000-12+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i-111i5i5−i5−i5ii−i−i−5−55500001-1−i5i5−ii5−5−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19000000000000000000000000000000000000
χ8244-4-4-44004i−4i−4i4i0000-12+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i-111−i5−i5i5i5ii−i−i55−5−500001-1i5−i5−ii−55−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14000000000000000000000000000000000000
χ8344-4-4-44004i−4i−4i4i0000-1−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i-111i5i5−i5−i5ii−i−i−5−55500001-1−i5i5−ii5−5ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19000000000000000000000000000000000000
χ8444-4-4-44004i−4i−4i4i0000-1−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i-111−i5−i5i5i5ii−i−i55−5−500001-1i5−i5−ii−55ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14000000000000000000000000000000000000
χ8544-4-4-4400−4i4i4i−4i0000-12−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i-111i5i5−i5−i5−i−iii55−5−500001-1−i5i5i−i−55ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14000000000000000000000000000000000000
χ8644-4-4-4400−4i4i4i−4i0000-12−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i-111−i5−i5i5i5−i−iii−5−55500001-1i5−i5i−i5−5−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19000000000000000000000000000000000000
χ8744-4-4-4400−4i4i4i−4i0000-1−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i-111i5i5−i5−i5−i−iii55−5−500001-1−i5i5i−i−55−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14000000000000000000000000000000000000
χ8844-4-4-4400−4i4i4i−4i0000-1−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i-111−i5−i5i5i5−i−iii−5−55500001-1i5−i5i−i5−5ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19000000000000000000000000000000000000
χ894-44-4000000004i−4i00400000000-44-4000000004i−4i4i−4i4-4-4400000000000000000000000000004i−4i000000000000000000000000000000
χ904-44-4000000004i−4i00400000000-44-4000000004i−4i4i−4i-444-40000000000000000000000000000−4i4i000000000000000000000000000000
χ914-44-400000000−4i4i00400000000-44-400000000−4i4i−4i4i4-4-440000000000000000000000000000−4i4i000000000000000000000000000000
χ924-44-400000000−4i4i00400000000-44-400000000−4i4i−4i4i-444-400000000000000000000000000004i−4i000000000000000000000000000000
χ934-4-44004-400000000400000000-4-444-44-40000000044-4-4000000000000000000000000004-400000000000000000000000000000000
χ944-4-44004-400000000400000000-4-444-44-400000000-4-44400000000000000000000000000-4400000000000000000000000000000000
χ954-4-4400-4400000000400000000-4-44-44-440000000044-4-400000000000000000000000000-4400000000000000000000000000000000
χ964-4-4400-4400000000400000000-4-44-44-4400000000-4-444000000000000000000000000004-400000000000000000000000000000000
χ978-88-8000000008i−8i00-2000000002-222i5−2i5−2i52i525−2525−25−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000008i−8i00-2000000002-22−2i52i52i5−2i5−2525−2525−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ998-88-800000000−8i8i00-2000000002-222i5−2i5−2i52i5−2525−25252i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800000000−8i8i00-2000000002-22−2i52i52i5−2i525−2525−252i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88008-800000000-20000000022-2-22-222i5−2i5−2i52i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88008-800000000-20000000022-2-22-22−2i52i52i5−2i52i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1038-8-8800-8800000000-20000000022-22-22-22i5−2i5−2i52i52i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1048-8-8800-8800000000-20000000022-22-22-2−2i52i52i5−2i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.