Finite Group Databasebeta

← Group #12086928

Character table — Group #12086928

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222444444444444444444444448888888888888888888888888881010161616161616161616161620202020203232323240404040404040808080
order1222444455101010101010488888820202020202020204040404040404040248881010101020202020202040404040404040404040404022248404040404040404044488101020204488888448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-11111-1-1-1-1111-1-1-1-111-1-111-1111-1-1
χ6111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-11-11111-1-1-1-1-1-1-111-1-11111-1-11-1-1-111
χ7111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-11-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-11-1-1-1-11111-1-1-11111-1-111-1-11111-1-1
χ911111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1111-1-11
χ1011111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-111-1
χ1111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-111-1
χ1211111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11
χ1311111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-111-11-1
χ1411111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11111-1-1-1-1111-1-11-11
χ1511111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-11
χ1611111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-111-1-111111-11-1
χ1722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000−1+52−1−52−1+52−1−520000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+52000001−521+521−521+520000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-22-2−1+52−1+52−1−52−1−521−521−521+521+52000001−521+52−1+52−1−520000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002-221−521−521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+520000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+520000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520022-21−521−521+521+521−521−521+521+5200000−1+52−1−52−1+52−1−520000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52002-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000−1+52−1−521−521+520000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+5200-2221−521−521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−520000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000−1−52−1+52−1−52−1+520000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-21+521+521−521−521+521+521−521−52000001+521−521+521−520000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-22-2−1−52−1−52−1+52−1+521+521+521−521−52000001+521−52−1−52−1+520000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002-221+521+521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−520000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000001+521−521+521−520000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520022-21+521+521−521−521+521+521−521−5200000−1−52−1+52−1−52−1+520000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52002-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000−1−52−1+521+521−520000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−5200-2221+521+521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+520000000000
χ3322222-2-2222222222-2000000-2-22222-2-2000000002-20002222-2-2-2-2-2-20000000000002200000000000-22-2000000-2200000000
χ3422222-2-2222222222-2000000-2-22222-2-2000000002-20002222-2-2-2-2-2-2000000000000-2-2000000000002-220000002-200000000
χ3522222-2-2222222222-2000000-2-22222-2-200000000-22000-2-2-2-22222-2-20000000000002200000000000-22-20000002-200000000
χ3622222-2-2222222222-2000000-2-22222-2-200000000-22000-2-2-2-22222-2-2000000000000-2-2000000000002-22000000-2200000000
χ372222-222-222222222-200002222-2-2-2-2222222222200-20000000000-2-2-2-2-2-20000000022000000000002-2-22200000000-200000
χ382222-222-222222222-200002222-2-2-2-2222222222200-20000000000-2-2-2-2-2-200000000-2-200000000000-222-2-200000000200000
χ392222-222-222222222-20000-2-222-2-2-2-222-2-2-2-2-2-2-2-20020000000000-2-222220000000022000000000002-2-2-2-200000000200000
χ402222-222-222222222-20000-2-222-2-2-2-222-2-2-2-2-2-2-2-20020000000000-2-2222200000000-2-200000000000-2222200000000-200000
χ412222-2-2-2-22222222222i2i−2i−2i00-2-2-2-2-2-2-2-20000000000000000000002200002i2i−2i−2i2i2i−2i−2i2200000000000-2-22000000002i−2i000000
χ422222-2-2-2-22222222222i2i−2i−2i00-2-2-2-2-2-2-2-20000000000000000000002200002i2i−2i−2i2i2i−2i−2i-2-20000000000022-200000000−2i2i000000
χ432222-2-2-2-2222222222−2i−2i2i2i00-2-2-2-2-2-2-2-2000000000000000000000220000−2i−2i2i2i−2i−2i2i2i2200000000000-2-2200000000−2i2i000000
χ442222-2-2-2-2222222222−2i−2i2i2i00-2-2-2-2-2-2-2-2000000000000000000000220000−2i−2i2i2i−2i−2i2i2i-2-20000000000022-2000000002i−2i000000
χ4544444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40000001−51+5−1+5−1+5−1−5−1−51−51+5000000004-4000−1+5−1+5−1−5−1−51−51−51+51+51−51+500000000000000000000000000000000000000000000
χ4644444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40000001−51+5−1+5−1+5−1−5−1−51−51+500000000-440001−51−51+51+5−1+5−1+5−1−5−1−51−51+500000000000000000000000000000000000000000000
χ4744444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40000001+51−5−1−5−1−5−1+5−1+51+51−5000000004-4000−1−5−1−5−1+5−1+51+51+51−51−51+51−500000000000000000000000000000000000000000000
χ4844444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40000001+51−5−1−5−1−5−1+5−1+51+51−500000000-440001+51+51−51−5−1−5−1−5−1+5−1+51+51−500000000000000000000000000000000000000000000
χ494444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4000044−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500-400000000001−51+51−51−51+51+50000000000000000000000000000000000000000
χ504444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40000-4-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51−51−51+51+51+51+500400000000001−51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000
χ514444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4000044−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500-400000000001+51−51+51+51−51−50000000000000000000000000000000000000000
χ524444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40000-4-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51+51+51−51−51−51−500400000000001+51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000
χ534444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544i4i−4i−4i001−51+51−51−51+51+51−51+5000000000000000000000−1+5−1−50000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ1400000000000000000000000000000000
χ544444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54−4i−4i4i4i001−51+51−51−51+51+51−51+5000000000000000000000−1+5−1−500002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ554444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544i4i−4i−4i001+51−51+51+51−51−51+51−5000000000000000000000−1−5−1+50000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ3800000000000000000000000000000000
χ564444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54−4i−4i4i4i001+51−51+51+51−51−51+51−5000000000000000000000−1−5−1+500002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ5744-4-404-4044-4-444-4-40000000440000-4-40000000000022−2200000000000000000000000000022−2222−2200000000000000000000000
χ5844-4-404-4044-4-444-4-40000000440000-4-400000000000−2222000000000000000000000000000−2222−222200000000000000000000000
χ5944-4-404-40−1+5−1−51−51+5−1+5−1−51−51+50000000−1+5−1−500001−51+5−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ382ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ1400022−22000000000000000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000
χ6044-4-404-40−1+5−1−51−51+5−1+5−1−51−51+50000000−1+5−1−500001−51+5−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ382ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14000−2222000000000000000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000
χ6144-4-404-40−1+5−1−51−51+5−1+5−1−51−51+50000000−1+5−1−500001−51+52ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ1400022−22000000000000000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000
χ6244-4-404-40−1+5−1−51−51+5−1+5−1−51−51+50000000−1+5−1−500001−51+52ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14000−2222000000000000000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000
χ6344-4-404-40−1−5−1+51+51−5−1−5−1+51+51−50000000−1−5−1+500001+51−52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ3800022−22000000000000000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000
χ6444-4-404-40−1−5−1+51+51−5−1−5−1+51+51−50000000−1−5−1+500001+51−52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38000−2222000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000
χ6544-4-404-40−1−5−1+51+51−5−1−5−1+51+51−50000000−1−5−1+500001+51−5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ3800022−22000000000000000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000
χ6644-4-404-40−1−5−1+51+51−5−1−5−1+51+51−50000000−1−5−1+500001+51−5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38000−2222000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000
χ6744-4-40-44044-4-444-4-40000000-4-4000044000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ6844-4-40-44044-4-444-4-40000000-4-400004400000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ694-44-4400-44444-4-4-4-4022−2222−2200004-44-40000000000000000000000000000022−2222−2222−2222−2200000000000000000000000000000000
χ704-44-4400-44444-4-4-4-40−2222−222200004-44-400000000000000000000000000000−2222−2222−2222−222200000000000000000000000000000000
χ714-44-4400-4−1+5−1−5−1+5−1−51−51+51−51+5022−2222−220000−1+51−5−1−51+500ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000000000000000
χ724-44-4400-4−1+5−1−5−1+5−1−51−51+51−51+5022−2222−220000−1+51−5−1−51+500−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000000000000000
χ734-44-4400-4−1+5−1−5−1+5−1−51−51+51−51+50−2222−22220000−1+51−5−1−51+500ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000000000000000
χ744-44-4400-4−1+5−1−5−1+5−1−51−51+51−51+50−2222−22220000−1+51−5−1−51+500−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000000000000000
χ754-44-4400-4−1−5−1+5−1−5−1+51+51−51+51−5022−2222−220000−1−51+5−1+51−500−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000000
χ764-44-4400-4−1−5−1+5−1−5−1+51+51−51+51−5022−2222−220000−1−51+5−1+51−500ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000000
χ774-44-4400-4−1−5−1+5−1−5−1+51+51−51+51−50−2222−22220000−1−51+5−1+51−500−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000000
χ784-44-4400-4−1−5−1+5−1−5−1+51+51−51+51−50−2222−22220000−1−51+5−1+51−500ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000000
χ794-44-4-40044444-4-4-4-402i2−2i2−2i22i20000-44-44000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ804-44-4-40044444-4-4-4-40−2i22i22i2−2i20000-44-4400000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ814-44-4-4004−1+5−1−5−1+5−1−51−51+51−51+502i2−2i2−2i22i200001−5−1+51+5−1−500ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000000000000000
χ824-44-4-4004−1+5−1−5−1+5−1−51−51+51−51+502i2−2i2−2i22i200001−5−1+51+5−1−500−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000000000000000
χ834-44-4-4004−1+5−1−5−1+5−1−51−51+51−51+50−2i22i22i2−2i200001−5−1+51+5−1−500ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000000000000000
χ844-44-4-4004−1+5−1−5−1+5−1−51−51+51−51+50−2i22i22i2−2i200001−5−1+51+5−1−500−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000000000000000
χ854-44-4-4004−1−5−1+5−1−5−1+51+51−51+51−502i2−2i2−2i22i200001+5−1−51−5−1+500−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000000000000000
χ864-44-4-4004−1−5−1+5−1−5−1+51+51−51+51−502i2−2i2−2i22i200001+5−1−51−5−1+500ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000000000000000
χ874-44-4-4004−1−5−1+5−1−5−1+51+51−51+51−50−2i22i22i2−2i200001+5−1−51−5−1+500−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000000000000000
χ884-44-4-4004−1−5−1+5−1−5−1+51+51−51+51−50−2i22i22i2−2i200001+5−1−51−5−1+500ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000000000000000
χ894-4-44000044-4-4-4-4440000022−220000000022−22−222222−22−22220000000000000000000000000004-40000000000000022−2200000000000000
χ904-4-44000044-4-4-4-4440000022−220000000022−22−222222−22−2222000000000000000000000000000-4400000000000000−222200000000000000
χ914-4-44000044-4-4-4-44400000−222200000000−222222−22−222222−220000000000000000000000000004-400000000000000−222200000000000000
χ924-4-44000044-4-4-4-44400000−222200000000−222222−22−222222−22000000000000000000000000000-440000000000000022−2200000000000000
χ9388-8-80-880−2+25−2−252−252+25−2+25−2−252−252+2500000002−252+250000−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-80-880−2−25−2+252+252−25−2−25−2+252+252−2500000002+252−250000−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000
χ958-8-880000−2+25−2−252−252+252−252+25−2+25−2−250000042−4200000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000
χ968-8-880000−2+25−2−252−252+252−252+25−2+25−2−2500000−4242000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000
χ978-8-880000−2−25−2+252+252−252+252−25−2−25−2+250000042−42000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000
χ988-8-880000−2−25−2+252+252−252+252−25−2−25−2+2500000−424200000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.