Finite Group Databasebeta

← Group #13016516

Character table — Group #13016516

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444444444444444444444445555888888888888888888888888101010101010101010102020202020202020202040404040404040404040404040404040
order12222244444444444444444451010101010101020202020202020204444202020202020202020202020202020202020202020202020222244444444444444448888888888888888
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
χ51111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1211111111-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1311111111-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171111-1-1-1-11111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-11-1ii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ181111-1-1-1-11111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-11-1ii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ191111-1-1-1-11111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-11−i−iii−i−iiii−ii−i−ii−ii-11-111-11-1
χ201111-1-1-1-11111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-11−i−iii−i−iii−ii−iii−ii−i1-11-1-11-11
χ211111-1-1-1-11111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-11-1−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ221111-1-1-1-11111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-11-1−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ231111-1-1-1-11111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-11ii−i−iii−i−ii−ii−i−ii−ii1-11-1-11-11
χ241111-1-1-1-11111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-11ii−i−iii−i−i−ii−iii−ii−i-11-111-11-1
χ251111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1111-1-1-1-1-1-11111111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1-1-111ii−i−i−i−iii1-1-111-1-11i−i−iii−i−ii
χ261111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1111-1-1-1-1-1-11111111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1-1-111ii−i−i−i−iii-111-1-111-1−iii−i−iii−i
χ271111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1111111-1-1−i−iiiii−i−ii−i−ii−iii−i-111-11-1-11
χ281111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1111111-1-1−i−iiiii−i−i−iii−ii−i−ii1-1-11-111-1
χ291111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1111-1-1-1-1-1-11111111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1-1-111−i−iiiii−i−i1-1-111-1-11−iii−i−iii−i
χ301111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1111-1-1-1-1-1-11111111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1-1-111−i−iiiii−i−i-111-1-111-1i−i−iii−i−ii
χ311111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1111111-1-1ii−i−i−i−iiii−i−ii−iii−i1-1-11-111-1
χ321111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1111111-1-1ii−i−i−i−iii−iii−ii−i−ii-111-11-1-11
χ33222222-2-222-2-222-2-20000000022222222222222222222-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-2-2-2000000000000000000000000
χ34222222-2-222-2-222-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2222222000000000000000000000000
χ35222222-2-2-2-222-2-2-220000000022222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-22222-2-2-22000000000000000000000000
χ36222222-2-2-2-222-2-2-220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-2222-2000000000000000000000000
χ372222-2-22222-2-2-2-2-22000000002-2-2222-2-22222-2-2-2-22222-2-222-2-222000000000000000022-2-2-2-2-2-222-22000000000000000000000000
χ382222-2-22222-2-2-2-2-22000000002-2-2222-2-22222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2222222-2-22-2000000000000000000000000
χ392222-2-222-2-22222-2-2000000002-2-2222-2-2-2-2-2-222222222-2-22222-2-20000000000000000-2-222-2-22222-2-2000000000000000000000000
χ402222-2-222-2-22222-2-2000000002-2-2222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000022-2-222-2-2-2-222000000000000000000000000
χ4122-2-2002i−2i002-22i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i2002-2-20000002i2i−2i−2i2i2i−2i−2i002i−2i2-2001+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−2i2-2001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000000
χ4222-2-2002i−2i002-22i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i2002-2-20000002i2i−2i−2i−2i−2i2i2i002i−2i2-2001+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-2200−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000000
χ4322-2-2002i−2i002-22i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i2002-2-20000002i2i−2i−2i2i2i−2i−2i002i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-2002i−2i2-200−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000000
χ4422-2-2002i−2i002-22i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i2002-2-20000002i2i−2i−2i−2i−2i2i2i002i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-2200−2i2i-22001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000000
χ4522-2-2002i−2i00-22−2i2i001+i−1−i1−i−1+i−1−i1+i−1+i1−i2002-2-2000000−2i−2i2i2i2i2i−2i−2i002i−2i-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-2200−2i2i2-2001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000000000000000
χ4622-2-2002i−2i00-22−2i2i001+i−1−i1−i−1+i−1−i1+i−1+i1−i2002-2-2000000−2i−2i2i2i−2i−2i2i2i002i−2i-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-2002i−2i-2200−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000000000000000
χ4722-2-2002i−2i00-22−2i2i00−1−i1+i−1+i1−i1+i−1−i1−i−1+i2002-2-2000000−2i−2i2i2i2i2i−2i−2i002i−2i-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00-2200−2i2i2-200−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000000000000000
χ4822-2-2002i−2i00-22−2i2i00−1−i1+i−1+i1−i1+i−1−i1−i−1+i2002-2-2000000−2i−2i2i2i−2i−2i2i2i002i−2i-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-2002i−2i-22001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000000000000000
χ4922-2-200−2i2i002-2−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i2002-2-2000000−2i−2i2i2i2i2i−2i−2i00−2i2i2-2001−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-2200−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000000000
χ5022-2-200−2i2i002-2−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i2002-2-2000000−2i−2i2i2i−2i−2i2i2i00−2i2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-200−2i2i2-2001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000000
χ5122-2-200−2i2i002-2−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i2002-2-2000000−2i−2i2i2i2i2i−2i−2i00−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-22002i−2i-22001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000000
χ5222-2-200−2i2i002-2−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i2002-2-2000000−2i−2i2i2i−2i−2i2i2i00−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-200−2i2i2-200−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000000000
χ5322-2-200−2i2i00-222i−2i001−i−1+i1+i−1−i−1+i1−i−1−i1+i2002-2-20000002i2i−2i−2i2i2i−2i−2i00−2i2i-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-200−2i2i-2200−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000000000000000
χ5422-2-200−2i2i00-222i−2i001−i−1+i1+i−1−i−1+i1−i−1−i1+i2002-2-20000002i2i−2i−2i−2i−2i2i2i00−2i2i-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-22002i−2i2-2001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000000000000000
χ5522-2-200−2i2i00-222i−2i00−1+i1−i−1−i1+i1−i−1+i1+i−1−i2002-2-20000002i2i−2i−2i2i2i−2i−2i00−2i2i-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-200−2i2i-22001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000000000000000
χ5622-2-200−2i2i00-222i−2i00−1+i1−i−1−i1+i1−i−1+i1+i−1−i2002-2-20000002i2i−2i−2i−2i−2i2i2i00−2i2i-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00-22002i−2i2-200−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000000000000000
χ57444444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ584444444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000
χ5944444444-4-4-4-4-4-44-44444-4-4-4-4-1-1-1-1-1-1-1-1111111110000-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000
χ6044444444-4-4-4-4-4-44-4-4-4-4-44444-1-1-1-1-1-1-1-1111111110000-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ61444444-4-444-4-444-4-400000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111111115−55−55−55−55−55−55−55−5000000000000000000000000000000000000
χ62444444-4-444-4-444-4-400000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111−55−55−55−55−55−55−55−55000000000000000000000000000000000000
χ63444444-4-4-4-444-4-4-4400000000-1-1-1-1-1-1-1-11111111100001111-1-1-1-15−55−55−55−5−55−55−55−55000000000000000000000000000000000000
χ64444444-4-4-4-444-4-4-4400000000-1-1-1-1-1-1-1-11111111100001111-1-1-1-1−55−55−55−555−55−55−55−5000000000000000000000000000000000000
χ654444-4-44444-4-4-4-4-4400000000-111-1-1-111-1-1-1-11111000011-1-111-1-1i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000
χ664444-4-44444-4-4-4-4-4400000000-111-1-1-111-1-1-1-11111000011-1-111-1-1−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000
χ674444-4-444-4-44444-4-400000000-111-1-1-1111111-1-1-1-1000011-1-1-1-111i5−i5i5−i5−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000
χ684444-4-444-4-44444-4-400000000-111-1-1-1111111-1-1-1-1000011-1-1-1-111−i5i5−i5i5i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000
χ694444-4-4-4-44444-4-44-44i4i−4i−4i4i4i−4i−4i-111-1-1-111-1-1-1-111110000-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000000000000000
χ704444-4-4-4-44444-4-44-4−4i−4i4i4i−4i−4i4i4i-111-1-1-111-1-1-1-111110000-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000000000000000
χ714444-4-4-4-4-4-4-4-444444i4i−4i−4i−4i−4i4i4i-111-1-1-1111111-1-1-1-10000-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000000000000000
χ724444-4-4-4-4-4-4-4-44444−4i−4i4i4i4i4i−4i−4i-111-1-1-1111111-1-1-1-10000-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000000000000000
χ7344-4-4004i−4i004-44i−4i002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i-15−5-1115−5i5i5−i5−i5−i−iii0000i5−i5−ii-115−5−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+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+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14000000000000000000000000000000000000
χ7444-4-4004i−4i004-44i−4i002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i-1−55-111−55−i5−i5i5i5−i−iii0000−i5i5−ii-11−55−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+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+ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19000000000000000000000000000000000000
χ7544-4-4004i−4i004-44i−4i00−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i-15−5-1115−5i5i5−i5−i5−i−iii0000i5−i5−ii-115−5ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−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−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14000000000000000000000000000000000000
χ7644-4-4004i−4i004-44i−4i00−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i-1−55-111−55−i5−i5i5i5−i−iii0000−i5i5−ii-11−55ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−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−ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19000000000000000000000000000000000000
χ7744-4-4004i−4i00-44−4i4i002+2i−2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i-15−5-1115−5−i5−i5i5i5ii−i−i0000i5−i5−ii1-1−55−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+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−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14000000000000000000000000000000000000
χ7844-4-4004i−4i00-44−4i4i002+2i−2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i-1−55-111−55i5i5−i5−i5ii−i−i0000−i5i5−ii1-15−5−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+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+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19000000000000000000000000000000000000
χ7944-4-4004i−4i00-44−4i4i00−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i-15−5-1115−5−i5−i5i5i5ii−i−i0000i5−i5−ii1-1−55ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−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+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14000000000000000000000000000000000000
χ8044-4-4004i−4i00-44−4i4i00−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i-1−55-111−55i5i5−i5−i5ii−i−i0000−i5i5−ii1-15−5ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−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−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19000000000000000000000000000000000000
χ8144-4-400−4i4i004-4−4i4i002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i-15−5-1115−5−i5−i5i5i5ii−i−i0000−i5i5i−i-115−5ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+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−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14000000000000000000000000000000000000
χ8244-4-400−4i4i004-4−4i4i002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i-1−55-111−55i5i5−i5−i5ii−i−i0000i5−i5i−i-11−55−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+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−ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19000000000000000000000000000000000000
χ8344-4-400−4i4i004-4−4i4i00−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i-15−5-1115−5−i5−i5i5i5ii−i−i0000−i5i5i−i-115−5−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−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+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14000000000000000000000000000000000000
χ8444-4-400−4i4i004-4−4i4i00−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i-1−55-111−55i5i5−i5−i5ii−i−i0000i5−i5i−i-11−55ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−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+ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19000000000000000000000000000000000000
χ8544-4-400−4i4i00-444i−4i002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i-15−5-1115−5i5i5−i5−i5−i−iii0000−i5i5i−i1-1−55ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14ζ2−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−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14000000000000000000000000000000000000
χ8644-4-400−4i4i00-444i−4i002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i-1−55-111−55−i5−i5i5i5−i−iii0000i5−i5i−i1-15−5−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−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+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19000000000000000000000000000000000000
χ8744-4-400−4i4i00-444i−4i00−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i-15−5-1115−5i5i5−i5−i5−i−iii0000−i5i5i−i1-1−55−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14−ζ2+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+ζ14−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14000000000000000000000000000000000000
χ8844-4-400−4i4i00-444i−4i00−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i-1−55-111−55−i5−i5i5i5−i−iii0000i5−i5i−i1-15−5ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+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−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19000000000000000000000000000000000000
χ894-44-400004i−4i00000000000000400-44-4004i−4i4i−4i00004i−4i4i−4i0000000000000000000000004-40000000000000000000000000000000000
χ904-44-400004i−4i00000000000000400-44-4004i−4i4i−4i0000−4i4i−4i4i000000000000000000000000-440000000000000000000000000000000000
χ914-44-40000−4i4i00000000000000400-44-400−4i4i−4i4i00004i−4i4i−4i000000000000000000000000-440000000000000000000000000000000000
χ924-44-40000−4i4i00000000000000400-44-400−4i4i−4i4i0000−4i4i−4i4i0000000000000000000000004-40000000000000000000000000000000000
χ934-4-444-4000000000000000000444-4-44-4-4000000004-4-4400000000000000000000000000004-4000000000000000000000000000000
χ944-4-444-4000000000000000000444-4-44-4-400000000-444-40000000000000000000000000000-44000000000000000000000000000000
χ954-4-44-440000000000000000004-4-4-4-4444000000004-4-440000000000000000000000000000-44000000000000000000000000000000
χ964-4-44-440000000000000000004-4-4-4-444400000000-444-400000000000000000000000000004-4000000000000000000000000000000
χ978-88-800008i−8i00000000000000-225−252-22−2525−2i2i−2i2i2i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ988-88-800008i−8i00000000000000-2−25252-2225−25−2i2i−2i2i−2i52i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ998-88-80000−8i8i00000000000000-225−252-22−25252i−2i2i−2i−2i52i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1008-88-80000−8i8i00000000000000-2−25252-2225−252i−2i2i−2i2i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8000000000000000000-2-2-222-22225−25−252525−25−25250000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-8000000000000000000-2-2-222-222−252525−25−252525−250000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-88000000000000000000-22222-2-2-225−25−2525−252525−250000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-88000000000000000000-22222-2-2-2−252525−2525−25−25250000000000000000000000000000000000000000000000000000000000000000

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