Finite Group Databasebeta

← Group #12253873

Character table — Group #12253873

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222222222244444444444444444444444444444558888888888888888888888101010101010101010161616162020202020202020202020323232323232323280808080
order122445588101016161616248881010161616161616202020204040404080808080808080804410102020404040404040808080808080808080808080224881616161622882488816161616161610101010404040404488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111-1-11-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111-1-11-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111111111-1-1-1-1-1-111
χ8111111111111111-1-11-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1111111-1-1
χ911111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-11-111111-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-111111111-1-111-1-1-11-11
χ1211111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1111111-1-111-1-1111-11-1
χ1311111111111-1-1-1-1-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-11-1-11-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111111-1-1-1-1-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-11-1-1-1-11111-1-11111-1-1-111-1
χ1511111111111-1-1-1-1-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1111-11111-1-1-1-111-1-1-1-111-111-1
χ1611111111111-1-1-1-1-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-111-111-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-222000022-2-2-2220000002222-2-2-2-200000000222222-2-2-2-2-2-2000000000000222-2-20000000022-2-2-2000000000000000000
χ182222222-2-222000022-2-2-2220000002222-2-2-2-200000000-2-22222-2-2-2-2-2-2000000000000-2-2-22200000000-2-2222000000000000000000
χ192222222-2-2220000-2-2-222220000002222-2-2-2-20000000022-2-2-2-2-2-22222000000000000222-2-200000000-2-2-222000000000000000000
χ202222222-2-2220000-2-2-222220000002222-2-2-2-200000000-2-2-2-2-2-2-2-22222000000000000-2-2-22200000000222-2-2000000000000000000
χ2122222−1+52−1−5222−1+52−1−52222222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−1+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+52−1−52−1−52−1−52−1−52000000000222200000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ2222222−1+52−1−5222−1+52−1−52222222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−1+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+52−1−52−1−52−1−52−1−52000000000-2-2-2-2000000000001−521+521−521+521−521+521−521+520000
χ2322222−1+52−1−5222−1+52−1−522222-2-22-2-2−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000022-2-200000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ2422222−1+52−1−5222−1+52−1−522222-2-22-2-2−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000000-2-222000000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ2522222−1+52−1−5222−1+52−1−52-2-2-2-222222−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200−1+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+520000000002-22-200000000000−1+52−1−521−521+52−1+52−1−521−521+520000
χ2622222−1+52−1−5222−1+52−1−52-2-2-2-222222−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200−1+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+52000000000-22-22000000000001−521+52−1+52−1−521−521+52−1+52−1−520000
χ2722222−1+52−1−5222−1+52−1−52-2-2-2-2-2-22-2-2−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52001−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000002-2-2200000000000−1+52−1−521−521+521−521+52−1+52−1−520000
χ2822222−1+52−1−5222−1+52−1−52-2-2-2-2-2-22-2-2−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52001−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000-222-2000000000001−521+52−1+52−1−52−1+52−1−521−521+520000
χ2922222−1−52−1+5222−1−52−1+52222222222−1−52−1+52222222−1−52−1+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+5200−1−52−1+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+52000000000222200000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ3022222−1−52−1+5222−1−52−1+52222222222−1−52−1+52222222−1−52−1+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+5200−1−52−1+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+52000000000-2-2-2-2000000000001+521−521+521−521+521−521+521−520000
χ3122222−1−52−1+5222−1−52−1+522222-2-22-2-2−1−52−1+5222-2-2-2-2−1−52−1+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+52001+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000022-2-200000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ3222222−1−52−1+5222−1−52−1+522222-2-22-2-2−1−52−1+5222-2-2-2-2−1−52−1+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+52001+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000-2-222000000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ3322222−1−52−1+5222−1−52−1+52-2-2-2-222222−1−52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−520000000002-22-200000000000−1−52−1+521+521−52−1−52−1+521+521−520000
χ3422222−1−52−1+5222−1−52−1+52-2-2-2-222222−1−52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52000000000-22-22000000000001+521−52−1−52−1+521+521−52−1−52−1+520000
χ3522222−1−52−1+5222−1−52−1+52-2-2-2-2-2-22-2-2−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52001+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000002-2-2200000000000−1−52−1+521+521−521+521−52−1−52−1+520000
χ3622222−1−52−1+5222−1−52−1+52-2-2-2-2-2-22-2-2−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52001+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000-222-2000000000001+521−52−1−52−1+52−1−52−1+521+521−520000
χ37222-2-222002222−2−20002i−2i222−2i2i2−i2−i2-2-2-2-2000022−2−222−2−2220000002i−2i2i−2i2−22−2i2i2−i2−i2i2i2−i2−i2-2-220022−2−200000002i−2i2−2i2i2−i2−i2000000000000
χ38222-2-222002222−2−20002i−2i222−2i2i2−i2−i2-2-2-2-2000022−2−222−2−2-2-20000002i−2i2i−2i2−22−2i2i2−i2−i2i2i2−i2−i222-200−2−2220000000−2i2i−22−i2−i2i2i2000000000000
χ39222-2-222002222−2−2000−2i2i222−2−i2−i2i2i2-2-2-2-2000022−2−222−2−222000000−2i2i−2i2i2−22−2−i2−i2i2i2−i2−i2i2i2-2-220022−2−20000000−2i2i2−2−i2−i2i2i2000000000000
χ40222-2-222002222−2−2000−2i2i222−2−i2−i2i2i2-2-2-2-2000022−2−222−2−2-2-2000000−2i2i−2i2i2−22−2−i2−i2i2i2−i2−i2i2i222-200−2−22200000002i−2i−22i2i2−i2−i2000000000000
χ41222-2-2220022−2−2220002i−2i22−22−i2−i2i2i2-2-2-2-20000−2−222−2−222220000002i−2i2i−2i−22−22−i2−i2i2i2−i2−i2i2i2-2-2200−2−22200000002i−2i−22−i2−i2i2i2000000000000
χ42222-2-2220022−2−2220002i−2i22−22−i2−i2i2i2-2-2-2-20000−2−222−2−222-2-20000002i−2i2i−2i−22−22−i2−i2i2i2−i2−i2i2i222-20022−2−20000000−2i2i2−2i2i2−i2−i2000000000000
χ43222-2-2220022−2−222000−2i2i22−22i2i2−i2−i2-2-2-2-20000−2−222−2−22222000000−2i2i−2i2i−22−22i2i2−i2−i2i2i2−i2−i2-2-2200−2−2220000000−2i2i−22i2i2−i2−i2000000000000
χ44222-2-2220022−2−222000−2i2i22−22i2i2−i2−i2-2-2-2-20000−2−222−2−222-2-2000000−2i2i−2i2i−22−22i2i2−i2−i2i2i2−i2−i222-20022−2−200000002i−2i2−2−i2−i2i2i2000000000000
χ4522-22-2222222222200-200-2-2-2-2000022-2-2222222222222220000-2-20000-2-2-2-2000000002-2-2222222000000-200-2-20000000000000000
χ4622-22-2222222222200-200-2-2-2-2000022-2-2222222222222-2-20000-2-20000-2-2-2-200000000-222-2-2-2-2-2-2000000200220000000000000000
χ4722-22-2222222-2-2-2-200-200-2-222000022-2-22222-2-2-2-2-2-2-2-2220000-2-200002222000000002-2-222-2-2-2-2000000-200220000000000000000
χ4822-22-2222222-2-2-2-200-200-2-222000022-2-22222-2-2-2-2-2-2-2-2-2-20000-2-20000222200000000-222-2-22222000000200-2-20000000000000000
χ4922-22-222-2-222000000200-2-2002i−2i2i−2i22-2-2-2-2-2-20000000022000022000000002i−2i2i−2i2i−2i2i−2i2-2-2-2-20000000000200002i−2i2i−2i000000000000
χ5022-22-222-2-222000000200-2-2002i−2i2i−2i22-2-2-2-2-2-200000000-2-2000022000000002i−2i2i−2i2i−2i2i−2i-222220000000000-20000−2i2i−2i2i000000000000
χ5122-22-222-2-222000000200-2-200−2i2i−2i2i22-2-2-2-2-2-2000000002200002200000000−2i2i−2i2i−2i2i−2i2i2-2-2-2-2000000000020000−2i2i−2i2i000000000000
χ5222-22-222-2-222000000200-2-200−2i2i−2i2i22-2-2-2-2-2-200000000-2-200002200000000−2i2i−2i2i−2i2i−2i2i-222220000000000-200002i−2i2i−2i000000000000
χ5322-2-2222002222−2−22-2000-2-2−222−2−22-2-222000022−2−222−2−22222-2-2000000−22−222−2−222−2−22-22-20022−2−20000-22000−222−2−22000000000000
χ5422-2-2222002222−2−22-2000-2-2−222−2−22-2-222000022−2−222−2−2-2-222-2-2000000−22−222−2−222−2−222-2200−2−22200002-20002−2−222−2000000000000
χ5522-2-2222002222−2−2-22000-2-2−22−222−2-2-222000022−2−222−2−222-2-222000000−22−22−222−2−222−2-22-20022−2−200002-2000−22−222−2000000000000
χ5622-2-2222002222−2−2-22000-2-2−22−222−2-2-222000022−2−222−2−2-2-2-2-222000000−22−22−222−2−222−22-2200−2−2220000-220002−22−2−22000000000000
χ5722-2-22220022−2−2222-2000-2-22−2−222−2-2-2220000−2−222−2−2222222-2-20000002−22−2−222−2−222−2-22-200−2−2220000-220002−2−222−2000000000000
χ5822-2-22220022−2−2222-2000-2-22−2−222−2-2-2220000−2−222−2−222-2-222-2-20000002−22−2−222−2−222−22-220022−2−200002-2000−222−2−22000000000000
χ5922-2-22220022−2−222-22000-2-22−22−2−22-2-2220000−2−222−2−22222-2-2220000002−22−22−2−222−2−22-22-200−2−22200002-20002−22−2−22000000000000
χ6022-2-22220022−2−222-22000-2-22−22−2−22-2-2220000−2−222−2−222-2-2-2-2220000002−22−22−2−222−2−222-220022−2−20000-22000−22−222−2000000000000
χ6144444−1+5−1−5-4-4−1+5−1−5000044-4-4-4−1+5−1−5000000−1+5−1−5−1+5−1−51−51−51+51+50000000000−1+5−1−5−1+5−1−51−51+51−51−51+51+5000000000000000000000000000000000000000000000000
χ6244444−1+5−1−5-4-4−1+5−1−50000-4-4-444−1+5−1−5000000−1+5−1−5−1+5−1−51−51−51+51+500000000001−51+51−51+51−51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000
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χ924-40004422−22-4-4−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000000000022−2222−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ77−4i4i0000000000000000000000000−2i22i2−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79000000000000000000000000000
χ934-400044−2222-4-4−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ7900000000000000000−2222−2222−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ794i−4i0000000000000000000000000−2i22i22ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77000000000000000000000000000
χ944-400044−2222-4-4−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ7900000000000000000−2222−2222−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−4i4i00000000000000000000000002i2−2i2−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77000000000000000000000000000
χ954-400044−2222-4-42ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ7900000000000000000−2222−22222ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ794i−4i0000000000000000000000000−2i22i2−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77000000000000000000000000000
χ964-400044−2222-4-42ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ7900000000000000000−2222−22222ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−4i4i00000000000000000000000002i2−2i22ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77000000000000000000000000000
χ978-8000−2+25−2−2542−422−252+254ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ7700000000000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ9+2ζ31−2ζ41+2ζ792ζ9−2ζ31+2ζ41−2ζ792ζ11−2ζ29+2ζ59−2ζ61−2ζ11+2ζ29−2ζ59+2ζ612ζ47−2ζ57+2ζ63−2ζ73−2ζ47+2ζ57−2ζ63+2ζ73−2ζ13+2ζ27+2ζ43−2ζ772ζ13−2ζ27−2ζ43+2ζ77000000000000000000000000000000000000000000000000000000000000
χ988-8000−2+25−2−2542−422−252+25−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ794ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ7700000000000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ9−2ζ31+2ζ41−2ζ79−2ζ9+2ζ31−2ζ41+2ζ79−2ζ11+2ζ29−2ζ59+2ζ612ζ11−2ζ29+2ζ59−2ζ61−2ζ47+2ζ57−2ζ63+2ζ732ζ47−2ζ57+2ζ63−2ζ732ζ13−2ζ27−2ζ43+2ζ77−2ζ13+2ζ27+2ζ43−2ζ77000000000000000000000000000000000000000000000000000000000000
χ998-8000−2+25−2−25−42422−252+25−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79000000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ11−2ζ29+2ζ59−2ζ61−2ζ11+2ζ29−2ζ59+2ζ612ζ9−2ζ31+2ζ41−2ζ79−2ζ9+2ζ31−2ζ41+2ζ79−2ζ13+2ζ27+2ζ43−2ζ772ζ13−2ζ27−2ζ43+2ζ77−2ζ47+2ζ57−2ζ63+2ζ732ζ47−2ζ57+2ζ63−2ζ73000000000000000000000000000000000000000000000000000000000000
χ1008-8000−2+25−2−25−42422−252+254ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79000000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ11+2ζ29−2ζ59+2ζ612ζ11−2ζ29+2ζ59−2ζ61−2ζ9+2ζ31−2ζ41+2ζ792ζ9−2ζ31+2ζ41−2ζ792ζ13−2ζ27−2ζ43+2ζ77−2ζ13+2ζ27+2ζ43−2ζ772ζ47−2ζ57+2ζ63−2ζ73−2ζ47+2ζ57−2ζ63+2ζ73000000000000000000000000000000000000000000000000000000000000
χ1018-8000−2−25−2+2542−422+252−254ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77000000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ47−2ζ57+2ζ63−2ζ73−2ζ47+2ζ57−2ζ63+2ζ73−2ζ13+2ζ27+2ζ43−2ζ772ζ13−2ζ27−2ζ43+2ζ77−2ζ9+2ζ31−2ζ41+2ζ792ζ9−2ζ31+2ζ41−2ζ792ζ11−2ζ29+2ζ59−2ζ61−2ζ11+2ζ29−2ζ59+2ζ61000000000000000000000000000000000000000000000000000000000000
χ1028-8000−2−25−2+2542−422+252−25−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ794ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ77000000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ47+2ζ57−2ζ63+2ζ732ζ47−2ζ57+2ζ63−2ζ732ζ13−2ζ27−2ζ43+2ζ77−2ζ13+2ζ27+2ζ43−2ζ772ζ9−2ζ31+2ζ41−2ζ79−2ζ9+2ζ31−2ζ41+2ζ79−2ζ11+2ζ29−2ζ59+2ζ612ζ11−2ζ29+2ζ59−2ζ61000000000000000000000000000000000000000000000000000000000000
χ1038-8000−2−25−2+25−42422+252−25−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ7900000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ13+2ζ27+2ζ43−2ζ772ζ13−2ζ27−2ζ43+2ζ77−2ζ47+2ζ57−2ζ63+2ζ732ζ47−2ζ57+2ζ63−2ζ732ζ11−2ζ29+2ζ59−2ζ61−2ζ11+2ζ29−2ζ59+2ζ612ζ9−2ζ31+2ζ41−2ζ79−2ζ9+2ζ31−2ζ41+2ζ79000000000000000000000000000000000000000000000000000000000000
χ1048-8000−2−25−2+25−42422+252−254ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ7900000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ13−2ζ27−2ζ43+2ζ77−2ζ13+2ζ27+2ζ43−2ζ772ζ47−2ζ57+2ζ63−2ζ73−2ζ47+2ζ57−2ζ63+2ζ73−2ζ11+2ζ29−2ζ59+2ζ612ζ11−2ζ29+2ζ59−2ζ61−2ζ9+2ζ31−2ζ41+2ζ792ζ9−2ζ31+2ζ41−2ζ79000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.