Finite Group Databasebeta

← Group #12130178

Character table — Group #12130178

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444455558888888888888888888810101010101016161616161616161616161616161616161616161616161620202020404040404040404040404040
order1244222444551010202020204444101010101010202020202020888824444444888820202020202020208888881010202020202020202020202020202040404040404040408888244488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ10111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ11111111111111111111-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ12111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1
χ15111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1
χ16111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111
χ172222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000−1+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+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52000022-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000001−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-2-2-22222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000001−521+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+520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000222222-2-2-2-2-2-21−521−521−521−521+521+521+521+52000000−1+52−1−52−1+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+520000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52000022-2-2-2-22222-2-21−521−521−521−521+521+521+521+52000000−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-222-2-222-2-2221−521−521−521−521+521+521+521+520000001−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-2-2-222-2-222221−521−521−521−521+521+521+521+520000001−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000−1−52−1+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+520000000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000022-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-222-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000001+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-2-2-22222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000001+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+521−521−520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000222222-2-2-2-2-2-21+521+521+521+521−521−521−521−52000000−1−52−1+52−1−52−1+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+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000022-2-2-2-22222-2-21+521+521+521+521−521−521−521−52000000−1−52−1+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+521+521+521−521−520000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-222-2-222-2-2221+521+521+521+521−521−521−521−520000001+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-2-2-222-2-222221+521+521+521+521−521−521−521−520000001+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ3322222-2-2-22-2222222220000-2-222-2-22-22-2-2-2222200000000002i−2i0000000022-2-2-2-2000000000000000000002i−2i2i−2i0000002i−2i00000000
χ3422222-2-2-22-2222222220000-2-222-2-22-22-2-2-222220000000000−2i2i0000000022-2-2-2-200000000000000000000−2i2i−2i2i000000−2i2i00000000
χ3522222-2-2-22-2222222220000-2-222-2-22-22-2-2-2-2-2-2-200000000002i−2i00000000-2-22222000000000000000000002i−2i2i−2i000000−2i2i00000000
χ3622222-2-2-22-2222222220000-2-222-2-22-22-2-2-2-2-2-2-20000000000−2i2i00000000-2-2222200000000000000000000−2i2i−2i2i0000002i−2i00000000
χ372222-22-2-2-22222222220000-2-2-2-222-22-22-2-222220000002-2000000000000-2-222-2-20000000000002-22-200000000000000000000002-2
χ382222-22-2-2-22222222220000-2-2-2-222-22-22-2-22222000000-22000000000000-2-222-2-2000000000000-22-220000000000000000000000-22
χ392222-22-2-2-22222222220000-2-2-2-222-22-22-2-2-2-2-2-20000002-200000000000022-2-2220000000000002-22-20000000000000000000000-22
χ402222-22-2-2-22222222220000-2-2-2-222-22-22-2-2-2-2-2-2000000-2200000000000022-2-222000000000000-22-2200000000000000000000002-2
χ412222-2-222-2-222222222000022-2-2-2-2-2-2-2-2222222002i−2i0000000000000000-2-2-2-22200002i−2i2i−2i000000000000000000000000002i−2i0000
χ422222-2-222-2-222222222000022-2-2-2-2-2-2-2-222222200−2i2i0000000000000000-2-2-2-2220000−2i2i−2i2i00000000000000000000000000−2i2i0000
χ432222-2-222-2-222222222000022-2-2-2-2-2-2-2-222-2-2-2-2002i−2i00000000000000002222-2-200002i−2i2i−2i00000000000000000000000000−2i2i0000
χ442222-2-222-2-222222222000022-2-2-2-2-2-2-2-222-2-2-2-200−2i2i00000000000000002222-2-20000−2i2i−2i2i000000000000000000000000002i−2i0000
χ4522-2-2222-2-2-22222-2-2-2-20000222222-2-2-2-2-2-22i2i−2i−2i00002-2000000000000002i−2i2i−2i2i−2i000000002-22-20000000000000000000000002i−2i00
χ4622-2-2222-2-2-22222-2-2-2-20000222222-2-2-2-2-2-22i2i−2i−2i0000-22000000000000002i−2i2i−2i2i−2i00000000-22-22000000000000000000000000−2i2i00
χ4722-2-2222-2-2-22222-2-2-2-20000222222-2-2-2-2-2-2−2i−2i2i2i00002-200000000000000−2i2i−2i2i−2i2i000000002-22-2000000000000000000000000−2i2i00
χ4822-2-2222-2-2-22222-2-2-2-20000222222-2-2-2-2-2-2−2i−2i2i2i0000-2200000000000000−2i2i−2i2i−2i2i00000000-22-220000000000000000000000002i−2i00
χ4922-2-22-2-22-222222-2-2-2-20000-2-222-2-2-22-22222i2i−2i−2i000000002i−2i00000000002i−2i−2i2i−2i2i00000000000000002i−2i2i−2i000000002-20000000000
χ5022-2-22-2-22-222222-2-2-2-20000-2-222-2-2-22-22222i2i−2i−2i00000000−2i2i00000000002i−2i−2i2i−2i2i0000000000000000−2i2i−2i2i00000000-220000000000
χ5122-2-22-2-22-222222-2-2-2-20000-2-222-2-2-22-2222−2i−2i2i2i000000002i−2i0000000000−2i2i2i−2i2i−2i00000000000000002i−2i2i−2i00000000-220000000000
χ5222-2-22-2-22-222222-2-2-2-20000-2-222-2-2-22-2222−2i−2i2i2i00000000−2i2i0000000000−2i2i2i−2i2i−2i0000000000000000−2i2i−2i2i000000002-20000000000
χ5322-2-2-22-222-22222-2-2-2-222-2-2-2-2-2-2222-22-2222i2i−2i−2i00000000000022-2-222-2-2−2i2i2i−2i−2i2i0000000000000000000000002i2i−2i−2i000000000000
χ5422-2-2-22-222-22222-2-2-2-222-2-2-2-2-2-2222-22-222−2i−2i2i2i00000000000022-2-222-2-22i−2i−2i2i2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ5522-2-2-22-222-22222-2-2-2-2-2-222-2-2-2-2222-22-2222i2i−2i−2i000000000000-2-222-2-222−2i2i2i−2i−2i2i000000000000000000000000−2i−2i2i2i000000000000
χ5622-2-2-22-222-22222-2-2-2-2-2-222-2-2-2-2222-22-222−2i−2i2i2i000000000000-2-222-2-2222i−2i−2i2i2i−2i0000000000000000000000002i2i−2i−2i000000000000
χ5722-2-2-2-22-2222222-2-2-2-2000022-2-2-2-22222-2-22i2i−2i−2i2-2000000000000000000−2i2i−2i2i2i−2i22-2-200000000000000000000000000002i−2i000000
χ5822-2-2-2-22-2222222-2-2-2-2000022-2-2-2-22222-2-22i2i−2i−2i-22000000000000000000−2i2i−2i2i2i−2i-2-2220000000000000000000000000000−2i2i000000
χ5922-2-2-2-22-2222222-2-2-2-2000022-2-2-2-22222-2-2−2i−2i2i2i2-20000000000000000002i−2i2i−2i−2i2i22-2-20000000000000000000000000000−2i2i000000
χ6022-2-2-2-22-2222222-2-2-2-2000022-2-2-2-22222-2-2−2i−2i2i2i-220000000000000000002i−2i2i−2i−2i2i-2-22200000000000000000000000000002i−2i000000
χ6144444-4-4-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−1+5−1−51−51+5−1+51−5−1−51+51−51+5000000000000004i−4i0000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000
χ6244444-4-4-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−1+5−1−51−51+5−1+51−5−1−51+51−51+500000000000000−4i4i00000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000
χ6344444-4-4-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−1−5−1+51+51−5−1−51+5−1+51−51+51−5000000000000004i−4i0000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000
χ6444444-4-4-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−1−5−1+51+51−5−1−51+5−1+51−51+51−500000000000000−4i4i00000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000
χ654444-44-4-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+51−51+5−1+5−1−51−5−1+51+5−1−51−51+500000000004-4000000000000000000000000000000−1+51−5−1−51+5000000000000000000000000
χ664444-44-4-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+51−51+5−1+5−1−51−5−1+51+5−1−51−51+50000000000-440000000000000000000000000000001−5−1+51+5−1−5000000000000000000000000
χ674444-44-4-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−51+51−5−1−5−1+51+5−1−51−5−1+51+51−500000000004-4000000000000000000000000000000−1−51+5−1+51−5000000000000000000000000
χ684444-44-4-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−51+51−5−1−5−1+51+5−1−51−5−1+51+51−50000000000-440000000000000000000000000000001+5−1−51−5−1+5000000000000000000000000
χ694444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000−1+5−1−51−51+51−51+51−51−51+51+5−1+5−1−50000004i−4i00000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000
χ704444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000−1+5−1−51−51+51−51+51−51−51+51+5−1+5−1−5000000−4i4i000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ714444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1+51+51−51+51−51+51+51−51−5−1−5−1+50000004i−4i00000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000
χ724444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1+51+51−51+51−51+51+51−51−5−1−5−1+5000000−4i4i000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ7344-4-4444-4-4-4−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+5000000004-40000000000000000000000000000−1+51−5−1−51+50000000000000000000000000000
χ7444-4-4444-4-4-4−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+500000000-4400000000000000000000000000001−5−1+51+5−1−50000000000000000000000000000
χ7544-4-4444-4-4-4−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−5000000004-40000000000000000000000000000−1−51+5−1+51−50000000000000000000000000000
χ7644-4-4444-4-4-4−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−500000000-4400000000000000000000000000001+5−1−51−5−1+50000000000000000000000000000
χ7744-4-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−1+5−1−51−51+51−5−1+51+5−1−5−1+5−1−50000000000004i−4i00000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000
χ7844-4-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−1+5−1−51−51+51−5−1+51+5−1−5−1+5−1−5000000000000−4i4i000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000
χ7944-4-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−1−5−1+51+51−51+5−1−51−5−1+5−1−5−1+50000000000004i−4i00000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000
χ8044-4-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−1−5−1+51+51−51+5−1−51−5−1+5−1−5−1+5000000000000−4i4i000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000
χ8144-4-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+544-4-41−51+51−51+5−1+5−1−5−1+51−5−1−51+5−1+5−1−50000000000000000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ8244-4-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5-4-4441−51+51−51+5−1+5−1−5−1+51−5−1−51+5−1+5−1−500000000000000001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ8344-4-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−544-4-41+51−51+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1+50000000000000000−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ8444-4-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5-4-4441+51−51+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ8544-4-4-4-44-444−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−51−51+500004-4000000000000000000000000−1+5−1−51−51+5000000000000000000000000000000000000
χ8644-4-4-4-44-444−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−51−51+50000-440000000000000000000000001−51+5−1+5−1−5000000000000000000000000000000000000
χ8744-4-4-4-44-444−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+51+51−500004-4000000000000000000000000−1−5−1+51+51−5000000000000000000000000000000000000
χ8844-4-4-4-44-444−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+51+51−50000-440000000000000000000000001+51−5−1−5−1+5000000000000000000000000000000000000
χ894-44i−4i00000044-4-44i−4i4i−4i2-22i−2i000000000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ390000000000002-22i−2i2-22i−2i000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ904-44i−4i00000044-4-44i−4i4i−4i2-22i−2i0000000000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ390000000000002-22i−2i2-22i−2i0000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ914-44i−4i00000044-4-44i−4i4i−4i-22−2i2i000000000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000-22−2i2i-22−2i2i0000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ924-44i−4i00000044-4-44i−4i4i−4i-22−2i2i0000000000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000000000-22−2i2i-22−2i2i000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ934-4−4i4i00000044-4-4−4i4i−4i4i2-2−2i2i000000000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000000000002-2−2i2i2-2−2i2i000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ944-4−4i4i00000044-4-4−4i4i−4i4i2-2−2i2i0000000000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000000000002-2−2i2i2-2−2i2i0000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ954-4−4i4i00000044-4-4−4i4i−4i4i-222i−2i000000000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000-222i−2i-222i−2i0000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ964-4−4i4i00000044-4-4−4i4i−4i4i-222i−2i0000000000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37000000000000-222i−2i-222i−2i000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ978-88i−8i000000−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ144-44i−4i0000000000000000000000000000−1+51−5−2ζ22−2ζ382ζ22+2ζ38−1−51+5−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000
χ988-88i−8i000000−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-44−4i4i00000000000000000000000000001−5−1+52ζ22+2ζ38−2ζ22−2ζ381+5−1−52ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000
χ998-88i−8i000000−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ384-44i−4i0000000000000000000000000000−1−51+5−2ζ6−2ζ142ζ6+2ζ14−1+51−5−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000
χ1008-88i−8i000000−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-44−4i4i00000000000000000000000000001+5−1−52ζ6+2ζ14−2ζ6−2ζ141−5−1+52ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000
χ1018-8−8i8i000000−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ144-4−4i4i0000000000000000000000000000−1+51−52ζ22+2ζ38−2ζ22−2ζ38−1−51+52ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000
χ1028-8−8i8i000000−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-444i−4i00000000000000000000000000001−5−1+5−2ζ22−2ζ382ζ22+2ζ381+5−1−5−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000
χ1038-8−8i8i000000−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ384-4−4i4i0000000000000000000000000000−1−51+52ζ6+2ζ14−2ζ6−2ζ14−1+51−52ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000
χ1048-8−8i8i000000−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-444i−4i00000000000000000000000000001+5−1−5−2ζ6−2ζ142ζ6+2ζ141−5−1+5−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000

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