Finite Group Databasebeta

← Group #12089696

Character table — Group #12089696

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222224444444444444444444888888888888888888888888888161616162020202020203232323232323232404040404040404040404080
order1222444455101010101010488888820202020202020202020202088840404040404040404040404040404040404040404040404022442244441010101020202020244448888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1111-1-1-1-11
χ51111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-11-1111-1-111-1-1-1
χ61111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-11-1-1-111-1-1111
χ71111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-1-1-11-11111-1-11
χ81111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111111-11-1-1-1-111-1
χ911111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1111111-1-1-1-1-1-1-11
χ1011111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111111-1
χ1111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-11-11111-1-1-1-1-1
χ1211111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-111111
χ1311111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-11-111-111-1-111-1
χ1411111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-11-1-11-1-111-1-11
χ1511111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11111-1-1-111-1-1-1-1111
χ1611111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111111-1-11111-1-1-1
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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22-2000000−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22-220000001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-22000000−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-20000001−521+52−1+52−1−52−1+52−1−521−521+52000000000000
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+52−1−52−1−52−1−52−1−52-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
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+52−1−52−1−52−1−52−1−52-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
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+52222−1−52−1−52−1−52−1−52−1+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+52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
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+52222−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22-2000000−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-220000001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-22000000−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-20000001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ3322222-2-2222222222-22200-2-2-2-2-2-222-2-222-2-200022-2-222-2-20000000000000000000000002200000000-2020-20000000
χ3422222-2-2222222222-22200-2-2-2-2-2-222-2-222-2-200022-2-222-2-2000000000000000000000000-2-20000000020-2020000000
χ3522222-2-2222222222-2-2-20022-2-2-2-222-2-222-2-2000-2-222-2-222000000000000000000000000220000000020-20-20000000
χ3622222-2-2222222222-2-2-20022-2-2-2-222-2-222-2-2000-2-222-2-222000000000000000000000000-2-200000000-202020000000
χ372222-222-222222222-20022002222-2-2-2-2-2-2-2-2-2000000000022-2-222-2-2000000000000222200000000000-20-200000000
χ382222-222-222222222-20022002222-2-2-2-2-2-2-2-2-2000000000022-2-222-2-2000000000000-2-2-2-20000000000020200000000
χ392222-222-222222222-200-2-2002222-2-2-2-2-2-2-2-220000000000-2-222-2-22200000000000022-2-20000000000020-200000000
χ402222-222-222222222-200-2-2002222-2-2-2-2-2-2-2-220000000000-2-222-2-222000000000000-2-22200000000000-20200000000
χ4122-2-202-202222-2-2-2-20i2−i22i−2ii2−i22-22-20000000002−2i2−i2i2−i2i2−i2i2−i22i−2i002i−2i0022−2−222−2−200002-22i−2i00000000000000000i2−i22−20
χ4222-2-202-202222-2-2-2-20i2−i22i−2ii2−i22-22-20000000002−2i2−i2i2−i2i2−i2i2−i22i−2i002i−2i0022−2−222−2−20000-22−2i2i00000000000000000−i2i2−220
χ4322-2-202-202222-2-2-2-20i2−i2−2i2ii2−i22-22-2000000000−22i2−i2i2−i2i2−i2i2−i2−2i2i00−2i2i00−2−222−2−22200002-2−2i2i00000000000000000i2−i2−220
χ4422-2-202-202222-2-2-2-20i2−i2−2i2ii2−i22-22-2000000000−22i2−i2i2−i2i2−i2i2−i2−2i2i00−2i2i00−2−222−2−2220000-222i−2i00000000000000000−i2i22−20
χ4522-2-202-202222-2-2-2-20−i2i22i−2i−i2i22-22-2000000000−22−i2i2−i2i2−i2i2−i2i22i−2i002i−2i00−2−222−2−22200002-22i−2i00000000000000000−i2i2−220
χ4622-2-202-202222-2-2-2-20−i2i22i−2i−i2i22-22-2000000000−22−i2i2−i2i2−i2i2−i2i22i−2i002i−2i00−2−222−2−2220000-22−2i2i00000000000000000i2−i22−20
χ4722-2-202-202222-2-2-2-20−i2i2−2i2i−i2i22-22-20000000002−2−i2i2−i2i2−i2i2−i2i2−2i2i00−2i2i0022−2−222−2−200002-2−2i2i00000000000000000−i2i22−20
χ4822-2-202-202222-2-2-2-20−i2i2−2i2i−i2i22-22-20000000002−2−i2i2−i2i2−i2i2−i2i2−2i2i00−2i2i0022−2−222−2−20000-222i−2i00000000000000000i2−i2−220
χ4944444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44400-4-41−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ5044444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4-400441−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+50001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ5144444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44400-4-41+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5000−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ5244444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4-400441+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−50001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ534444-444-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4004400−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5-40000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000
χ544444-444-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-400-4-400−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5400000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000
χ554444-444-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4004400−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5-40000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000
χ564444-444-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-400-4-400−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5400000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000
χ574444-4-4-4-4444444444000000-4-4-4-4-4-444-4-444000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−540000001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000
χ594444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−540000001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000
χ604444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+540000001+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000
χ614444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+540000001+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000
χ6244-4-404-40−1+5−1−5−1+5−1−51−51−51+51+502i2−2i24i−4i2i2−2i2−1+51−5−1−51+500000000022−22ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000
χ6344-4-404-40−1+5−1−5−1+5−1−51−51−51+51+502i2−2i2−4i4i2i2−2i2−1+51−5−1−51+5000000000−2222ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ392ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
χ6444-4-404-40−1+5−1−5−1+5−1−51−51−51+51+50−2i22i24i−4i−2i22i2−1+51−5−1−51+5000000000−2222−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
χ6544-4-404-40−1+5−1−5−1+5−1−51−51−51+51+50−2i22i2−4i4i−2i22i2−1+51−5−1−51+500000000022−22−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ392ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000
χ6644-4-404-40−1−5−1+5−1−5−1+51+51+51−51−502i2−2i24i−4i2i2−2i2−1−51+5−1+51−500000000022−22ζ21+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−ζ37−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000
χ6744-4-404-40−1−5−1+5−1−5−1+51+51+51−51−502i2−2i2−4i4i2i2−2i2−1−51+5−1+51−5000000000−2222ζ21+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−ζ372ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000
χ6844-4-404-40−1−5−1+5−1−5−1+51+51+51−51−50−2i22i24i−4i−2i22i2−1−51+5−1+51−5000000000−2222−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+ζ37−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000
χ6944-4-404-40−1−5−1+5−1−5−1+51+51+51−51−50−2i22i2−4i4i−2i22i2−1−51+5−1+51−500000000022−22−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+ζ372ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000
χ7044-4-40-4404444-4-4-4-402i2−2i200−2i22i2-44-44000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ7144-4-40-4404444-4-4-4-40−2i22i2002i2−2i2-44-4400000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ7244-4-40-440−1+5−1−5−1+5−1−51−51−51+51+502i2−2i200−2i22i21−5−1+51+5−1−500000000000ζ7+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+ζ3900−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ14−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000000000000000
χ7344-4-40-440−1+5−1−5−1+5−1−51−51−51+51+502i2−2i200−2i22i21−5−1+51+5−1−500000000000ζ7+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+ζ39002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ14ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000000000000000
χ7444-4-40-440−1+5−1−5−1+5−1−51−51−51+51+50−2i22i2002i2−2i21−5−1+51+5−1−500000000000−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−ζ3900−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ14ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000000000000000
χ7544-4-40-440−1+5−1−5−1+5−1−51−51−51+51+50−2i22i2002i2−2i21−5−1+51+5−1−500000000000−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−ζ39002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ14−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000000000000000
χ7644-4-40-440−1−5−1+5−1−5−1+51+51+51−51−502i2−2i200−2i22i21+5−1−51−5−1+500000000000ζ21+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+ζ37002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ38−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+ζ37000000000000000000000000000000
χ7744-4-40-440−1−5−1+5−1−5−1+51+51+51−51−502i2−2i200−2i22i21+5−1−51−5−1+500000000000ζ21+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+ζ3700−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ38ζ21−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−ζ37000000000000000000000000000000
χ7844-4-40-440−1−5−1+5−1−5−1+51+51+51−51−50−2i22i2002i2−2i21+5−1−51−5−1+500000000000−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−ζ37002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ38ζ21−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−ζ37000000000000000000000000000000
χ7944-4-40-440−1−5−1+5−1−5−1+51+51+51−51−50−2i22i2002i2−2i21+5−1−51−5−1+500000000000−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−ζ3700−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ38−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+ζ37000000000000000000000000000000
χ804-44-4400-444-4-44-44-4000000000004-4004-400000000000000000000000000000000000004i−4i00000000000000000000
χ814-44-4400-444-4-44-44-4000000000004-4004-40000000000000000000000000000000000000−4i4i00000000000000000000
χ824-44-4-400444-4-44-44-400000000000-4400-44000000000000000000000000000000000000000000000000000022−2200000
χ834-44-4-400444-4-44-44-400000000000-4400-440000000000000000000000000000000000000000000000000000−222200000
χ848-88-8800-8−2+25−2−252−252+25−2+252−25−2−252+2500000000000−2+252−2500−2−252+2500000000000000000000000000000000000000000000000000000000000
χ858-88-8800-8−2−25−2+252+252−25−2−252+25−2+252−2500000000000−2−252+2500−2+252−2500000000000000000000000000000000000000000000000000000000000
χ868-88-8-8008−2+25−2−252−252+25−2+252−25−2−252+25000000000002−25−2+25002+25−2−2500000000000000000000000000000000000000000000000000000000000
χ878-88-8-8008−2−25−2+252+252−25−2−252+25−2+252−25000000000002+25−2−25002−25−2+2500000000000000000000000000000000000000000000000000000000000
χ888-8-88000088-8-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-880000−2+25−2−252−252+252−25−2+252+25−2−2500000000000004ζ12−4ζ28−4ζ12+4ζ2800−4ζ4+4ζ364ζ4−4ζ36000000000000000000000000000000000000000000000000000000000
χ908-8-880000−2+25−2−252−252+252−25−2+252+25−2−250000000000000−4ζ12+4ζ284ζ12−4ζ28004ζ4−4ζ36−4ζ4+4ζ36000000000000000000000000000000000000000000000000000000000
χ918-8-880000−2−25−2+252+252−252+25−2−252−25−2+250000000000000−4ζ4+4ζ364ζ4−4ζ3600−4ζ12+4ζ284ζ12−4ζ28000000000000000000000000000000000000000000000000000000000
χ928-8-880000−2−25−2+252+252−252+25−2−252−25−2+2500000000000004ζ4−4ζ36−4ζ4+4ζ36004ζ12−4ζ28−4ζ12+4ζ28000000000000000000000000000000000000000000000000000000000

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