Finite Group Databasebeta

← Group #12090461

Character table — Group #12090461

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222224444444444444444444888888888888888888888888888161616162020202020203232323232323232404040404040404040404080
order1222444455101010101010488888820202020202020202020202088840404040404040404040404040404040404040404040404024444444441010202020202020224448888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-11111-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1111-1-1-1-11
χ51111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-1-1-1-11-11111-1-11
χ61111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-111-1-1111-11-1-1-1-111-1
χ71111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-111-11111-1-111-1-1-1
χ81111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-1111-1-1-1-111-1-1111
χ911111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11-111-111-1-1-1-1-1
χ1011111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-111111
χ1111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-111-1-1-1-1-1-11
χ1211111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11-1-1111111-1
χ1311111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-111-11-11111-1-111-1
χ1411111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111111-1-1-1-1111-11-1-1-1-111-1-11
χ1511111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-11111-1-1-1-111-1-1-1-1-1111
χ1611111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-11111-1-111-1-111111-1-1-1
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+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+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+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
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+52−1−52−1−52−1−52−1−522-2-22000000−1+52−1−521−521+521−521+52−1+52−1−52000000000000
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+52−1−52−1−52−1−52−1−52-222-20000001−521+52−1+52−1−52−1+52−1−521−521+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+521−521−521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
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+521−521−521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+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+522-2-22000000−1−52−1+521+521−521+521−52−1−52−1+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+52-222-20000001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ3322222-2-2222222222-22200-2-2-2-2-2-2-2-2-2-2222200022-2-222-2-200000000000000000000000022000000000-2-2020000000
χ3422222-2-2222222222-22200-2-2-2-2-2-2-2-2-2-2222200022-2-222-2-2000000000000000000000000-2-2000000000220-20000000
χ3522222-2-2222222222-2-2-20022-2-2-2-2-2-2-2-22222000-2-222-2-222000000000000000000000000220000000002-20-20000000
χ3622222-2-2222222222-2-2-20022-2-2-2-2-2-2-2-22222000-2-222-2-222000000000000000000000000-2-2000000000-22020000000
χ372222-222-222222222-2002200-2-2-2-22222-2-2-2-2-2000000000022-2-222-2-200000000000022220000000000-200-200000000
χ382222-222-222222222-2002200-2-2-2-22222-2-2-2-2-2000000000022-2-222-2-2000000000000-2-2-2-20000000000200200000000
χ392222-222-222222222-200-2-200-2-2-2-22222-2-2-2-220000000000-2-222-2-22200000000000022-2-20000000000200-200000000
χ402222-222-222222222-200-2-200-2-2-2-22222-2-2-2-220000000000-2-222-2-222000000000000-2-2220000000000-200200000000
χ412-22-202-2022-2-222-2-20i2−i22-2i2−i200002-22-200000i2−i2i2−i2i2−i2i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i000000000000000002−22−20
χ422-22-202-2022-2-222-2-20i2−i22-2i2−i200002-22-200000i2−i2i2−i2i2−i2i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i00000000000000000−22−220
χ432-22-202-2022-2-222-2-20i2−i2-22i2−i200002-22-200000−i2i2i2−i2i2−i2i2−i2i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i200002i−2i−2i2i000000000000000002−2−220
χ442-22-202-2022-2-222-2-20i2−i2-22i2−i200002-22-200000−i2i2i2−i2i2−i2i2−i2i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i20000−2i2i2i−2i00000000000000000−222−20
χ452-22-202-2022-2-222-2-20−i2i22-2−i2i200002-22-200000−i2i2−i2i2−i2i2−i2i2−i2i22-2002-200−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i00000000000000000−22−220
χ462-22-202-2022-2-222-2-20−i2i22-2−i2i200002-22-200000−i2i2−i2i2−i2i2−i2i2−i2i22-2002-200−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i000000000000000002−22−20
χ472-22-202-2022-2-222-2-20−i2i2-22−i2i200002-22-200000i2−i2−i2i2−i2i2−i2i2−i2i2-2200-2200i2i2−i2−i2i2i2−i2−i200002i−2i−2i2i00000000000000000−222−20
χ482-22-202-2022-2-222-2-20−i2i2-22−i2i200002-22-200000i2−i2−i2i2−i2i2−i2i2−i2i2-2200-2200i2i2−i2−i2i2i2−i2−i20000−2i2i2i−2i000000000000000002−2−220
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+51−51−51+51+5−1+5−1+5−1−5−1−5000−1+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+51−51−51+51+5−1+5−1+5−1−5−1−50001−51−5−1+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+51−51−51+51+51−51−5−1−5−1−5−1+5−1+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+51−51−51+51+51−51−5−1−5−1−5−1+5−1+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+5−1−5-40044001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+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+5−1−5-400-4-4001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+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+5-40044001+51+51−51−5−1−5−1−5−1+5−1+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+5-400-4-4001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5400000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000
χ574444-4-4-4-44444444440000004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54000000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+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+5−1−54000000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+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+54000000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000000000000000000−2ζ4+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+54000000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000
χ624-44-404-40−1+5−1−51−51+5−1+5−1−51−51+502i2−2i24-42i2−2i20000−1+51−5−1−51+5000002i2−2i2ζ7+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−ζ39−1+51−500−1−51+500ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000
χ634-44-404-40−1+5−1−51−51+5−1+5−1−51−51+502i2−2i2-442i2−2i20000−1+51−5−1−51+500000−2i22i2ζ7+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−ζ391−5−1+5001+5−1−500−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000
χ644-44-404-40−1+5−1−51−51+5−1+5−1−51−51+50−2i22i24-4−2i22i20000−1+51−5−1−51+500000−2i22i2−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+ζ39−1+51−500−1−51+500−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000
χ654-44-404-40−1+5−1−51−51+5−1+5−1−51−51+50−2i22i2-44−2i22i20000−1+51−5−1−51+5000002i2−2i2−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+ζ391−5−1+5001+5−1−500ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000
χ664-44-404-40−1−5−1+51+51−5−1−5−1+51+51−502i2−2i24-42i2−2i20000−1−51+5−1+51−5000002i2−2i2ζ21+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−ζ37−1−51+500−1+51−500ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000
χ674-44-404-40−1−5−1+51+51−5−1−5−1+51+51−502i2−2i2-442i2−2i20000−1−51+5−1+51−500000−2i22i2ζ21+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−ζ371+5−1−5001−5−1+500−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000
χ684-44-404-40−1−5−1+51+51−5−1−5−1+51+51−50−2i22i24-4−2i22i20000−1−51+5−1+51−500000−2i22i2−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+ζ37−1−51+500−1+51−500−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000
χ694-44-404-40−1−5−1+51+51−5−1−5−1+51+51−50−2i22i2-44−2i22i20000−1−51+5−1+51−5000002i2−2i2−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+ζ371+5−1−5001−5−1+500ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000
χ704-44-40-44044-4-444-4-402i2−2i200−2i22i20000-44-4400000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ714-44-40-44044-4-444-4-40−2i22i2002i2−2i20000-44-440000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ724-44-40-440−1+5−1−51−51+5−1+5−1−51−51+502i2−2i200−2i22i200001−5−1+51+5−1−50000000ζ7+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+ζ39002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36ζ7−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−ζ39000000000000000000000000000000
χ734-44-40-440−1+5−1−51−51+5−1+5−1−51−51+502i2−2i200−2i22i200001−5−1+51+5−1−50000000ζ7+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+ζ3900−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36−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+ζ39000000000000000000000000000000
χ744-44-40-440−1+5−1−51−51+5−1+5−1−51−51+50−2i22i2002i2−2i200001−5−1+51+5−1−50000000−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−ζ39002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36−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+ζ39000000000000000000000000000000
χ754-44-40-440−1+5−1−51−51+5−1+5−1−51−51+50−2i22i2002i2−2i200001−5−1+51+5−1−50000000−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−ζ3900−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36ζ7−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−ζ39000000000000000000000000000000
χ764-44-40-440−1−5−1+51+51−5−1−5−1+51+51−502i2−2i200−2i22i200001+5−1−51−5−1+50000000ζ21+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+ζ3700−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000000000000000000
χ774-44-40-440−1−5−1+51+51−5−1−5−1+51+51−502i2−2i200−2i22i200001+5−1−51−5−1+50000000ζ21+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+ζ37002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000000000000000000
χ784-44-40-440−1−5−1+51+51−5−1−5−1+51+51−50−2i22i2002i2−2i200001+5−1−51−5−1+50000000−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−ζ3700−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000000000000000000
χ794-44-40-440−1−5−1+51+51−5−1−5−1+51+51−50−2i22i2002i2−2i200001+5−1−51−5−1+50000000−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−ζ37002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000000000000000000
χ804-4-44400-444-4-4-4-4440000000000000004-44-4000000000000000000000000000000000000000000000000002i2−2i200000
χ814-4-44400-444-4-4-4-4440000000000000004-44-400000000000000000000000000000000000000000000000000−2i22i200000
χ824-4-44-400444-4-4-4-444000000000000000-44-44000000000000000000000000000000000004-400000000000000000000
χ834-4-44-400444-4-4-4-444000000000000000-44-4400000000000000000000000000000000000-4400000000000000000000
χ8488-8-800008888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-80000−2+25−2−25−2+25−2−252−252+252−252+2500000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ3600000000000000000000000000000000000000000000000000000000000000000
χ8688-8-80000−2+25−2−25−2+25−2−252−252+252−252+250000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ3600000000000000000000000000000000000000000000000000000000000000000
χ8788-8-80000−2−25−2+25−2−25−2+252+252−252+252−250000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000000000000000000
χ8888-8-80000−2−25−2+25−2−25−2+252+252−252+252−2500000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000000000000
χ898-8-88800-8−2+25−2−252−252+252−252+25−2+25−2−25000000000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000
χ908-8-88800-8−2−25−2+252+252−252+252−25−2−25−2+25000000000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000
χ918-8-88-8008−2+25−2−252−252+252−252+25−2+25−2−250000000000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000
χ928-8-88-8008−2−25−2+252+252−252+252−25−2−25−2+250000000000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000

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