Finite Group Databasebeta

← Group #12083300

Character table — Group #12083300

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222222244444444444448888888888888810101010101016161616161616161616161616161616161616162020202020323232324040404080808080
order1222444455101010101010488882020202020202020248820204040404040404040224444248810102020404040404040404040404040488881010202024884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ811111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1
χ911111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-11111-1-1-1-11-1-1-1-111-1-111-1-11-11-1
χ1011111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-11-111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-11-11
χ1111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-11-11
χ1211111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-11111-1-111-1-1111-11-1
χ1311111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1111-1-11
χ1411111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111-1-111-111-1
χ1511111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1111111-1-111-1-1-111-1
χ1611111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11111-1-11111-1-11-1-11
χ1722222222−1+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+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000002222−1+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+52−1−52−1−5200000−1+52−1−52−1+52−1−5200000000
χ1822222222−1+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+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000001−521+521−521+5200000000
χ1922222222−1+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+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+5200000−1+52−1−52−1+52−1−5200000000
χ2022222222−1+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+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+5200000000
χ2122222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1−521−521−521+521+521−521−521+521+520000002-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000−1+52−1−521−521+5200000000
χ2222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1−521−521−521+521+521−521−521+521+52000000-22-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−5200000000
χ2322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−521−521−521+521+521−521−521+521+520000002-2-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+5200000000
χ2422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−521−521−521+521+521−521−521+521+52000000-222-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000001−521+52−1+52−1−5200000000
χ2522222222−1−52−1+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+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000002222−1−52−1+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+5200000−1−52−1+52−1−52−1+5200000000
χ2622222222−1−52−1+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+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000001+521−521+521−5200000000
χ2722222222−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−5200000−1−52−1+52−1−52−1+5200000000
χ2822222222−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000001+521−521+521−5200000000
χ2922222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1+521+521+521−521−521+521+521−521−520000002-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000−1−52−1+521+521−5200000000
χ3022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1+521+521+521−521−521+521+521−521−52000000-22-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+5200000000
χ3122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+521+521+521−521−521+521+521−521−520000002-2-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−5200000000
χ3222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+521+521+521−521−521+521+521−521−52000000-222-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000001+521−52−1−52−1+5200000000
χ3322222-2-2222222222-2000022-2-2-2-2222-200-2-20000000022-2-222000022-2-2000000000000-2000000002-2000000
χ3422222-2-2222222222-2000022-2-2-2-2222-200-2-200000000-2-222-2-2000022-2-2000000000000200000000-22000000
χ3522222-2-2222222222-2000022-2-2-2-222-2200-2-20000000022-2-2220000-2-222000000000000-200000000-22000000
χ3622222-2-2222222222-2000022-2-2-2-222-2200-2-200000000-2-222-2-20000-2-2220000000000002000000002-2000000
χ372222-222-222222222-222-2-2-2-22222-2-20000-2-22222-2-2-2-22222-2-200000000000000000000-222-2-2000000000000
χ382222-222-222222222-222-2-2-2-22222-2-20000-2-22222-2-2-2-2-2-2-2-222000000000000000000002-2-222000000000000
χ392222-222-222222222-2-2-222-2-22222-2-20000-2-2-2-2-2-222222222-2-200000000000000000000-2-2-222000000000000
χ402222-222-222222222-2-2-222-2-22222-2-20000-2-2-2-2-2-22222-2-2-2-22200000000000000000000222-2-2000000000000
χ412222-2-2-2-22222222220000-2-2-2-2-2-2-2-2002i−2i220000000022-2-2-2-2000000002i−2i2i−2i00000000200000000002i−2i0000
χ422222-2-2-2-22222222220000-2-2-2-2-2-2-2-2002i−2i2200000000-2-22222000000002i−2i2i−2i00000000-20000000000−2i2i0000
χ432222-2-2-2-22222222220000-2-2-2-2-2-2-2-200−2i2i220000000022-2-2-2-200000000−2i2i−2i2i0000000020000000000−2i2i0000
χ442222-2-2-2-22222222220000-2-2-2-2-2-2-2-200−2i2i2200000000-2-2222200000000−2i2i−2i2i00000000-200000000002i−2i0000
χ4544444-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40000−1+5−1−51−51+51−51+5−1+5−1−54-4001−51+5000000000000000000−1+5−1−51−51+500000000000000000000000000000
χ4644444-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40000−1+5−1−51−51+51−51+5−1+5−1−5-44001−51+50000000000000000001−51+5−1+5−1−500000000000000000000000000000
χ4744444-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40000−1−5−1+51+51−51+51−5−1−5−1+54-4001+51−5000000000000000000−1−5−1+51+51−500000000000000000000000000000
χ4844444-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40000−1−5−1+51+51−51+51−5−1−5−1+5-44001+51−50000000000000000001+51−5−1−5−1+500000000000000000000000000000
χ494444-444-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-444-4-41−51+5−1+5−1−5−1+5−1−51−51+500001−51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000
χ504444-444-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4-4441−51+5−1+5−1−5−1+5−1−51−51+500001−51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000
χ514444-444-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-444-4-41+51−5−1−5−1+5−1−5−1+51+51−500001+51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000
χ524444-444-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4-4441+51−5−1−5−1+5−1−5−1+51+51−500001+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000
χ534444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5400001−51+51−51+51−51+51−51+5004i−4i−1+5−1−50000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000
χ544444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5400001−51+51−51+51−51+51−51+500−4i4i−1+5−1−500000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000
χ554444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5400001+51−51+51−51+51−51+51−5004i−4i−1−5−1+50000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000
χ564444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5400001+51−51+51−51+51−51+51−500−4i4i−1−5−1+500000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000
χ5744-4-404-4044-4-4-4-444000000044-4-40000000000000000000000000000000000000000000004i−4i000000000000
χ5844-4-404-4044-4-4-4-444000000044-4-4000000000000000000000000000000000000000000000−4i4i000000000000
χ5944-4-40-44044-4-4-4-4440004-400-4-4440000000000004-44-40000000000000000000000000000000000000000000
χ6044-4-40-44044-4-4-4-444000-4400-4-444000000000000-44-440000000000000000000000000000000000000000000
χ6144-4-40-440−1+5−1−51−51−51+51+5−1+5−1−50004-4001−51+5−1+5−1−5000000000000−1+51−5−1−51+5000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ6244-4-40-440−1+5−1−51−51−51+51+5−1+5−1−50004-4001−51+5−1+5−1−5000000000000−1+51−5−1−51+5000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
χ6344-4-40-440−1+5−1−51−51−51+51+5−1+5−1−5000-44001−51+5−1+5−1−50000000000001−5−1+51+5−1−5000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
χ6444-4-40-440−1+5−1−51−51−51+51+5−1+5−1−5000-44001−51+5−1+5−1−50000000000001−5−1+51+5−1−5000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ6544-4-40-440−1−5−1+51+51+51−51−5−1−5−1+50004-4001+51−5−1−5−1+5000000000000−1−51+5−1+51−5000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ6644-4-40-440−1−5−1+51+51+51−51−5−1−5−1+50004-4001+51−5−1−5−1+5000000000000−1−51+5−1+51−5000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ6744-4-40-440−1−5−1+51+51+51−51−5−1−5−1+5000-44001+51−5−1−5−1+50000000000001+5−1−51−5−1+5000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ6844-4-40-440−1−5−1+51+51+51−51−5−1−5−1+5000-44001+51−5−1−5−1+50000000000001+5−1−51−5−1+5000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ694-44-40000444-44-4-4-402i2−2i200000000000000002i2−2i22i2−2i20000004i−4i0000000000000000000000022−2200000000000000
χ704-44-40000444-44-4-4-402i2−2i200000000000000002i2−2i22i2−2i2000000−4i4i00000000000000000000000−222200000000000000
χ714-44-40000444-44-4-4-40−2i22i20000000000000000−2i22i2−2i22i20000004i−4i00000000000000000000000−222200000000000000
χ724-44-40000444-44-4-4-40−2i22i20000000000000000−2i22i2−2i22i2000000−4i4i0000000000000000000000022−2200000000000000
χ734-4-44400-444-44-44-4-400000440000-4-4000000000000004-4004-40000000000000000000000000000000000000
χ744-4-44400-444-44-44-4-400000440000-4-400000000000000-4400-440000000000000000000000000000000000000
χ754-4-44-400444-44-44-4-400000-4-4000044000000000000004-400-440000000000000000000000000000000000000
χ764-4-44-400444-44-44-4-400000-4-400004400000000000000-44004-40000000000000000000000000000000000000
χ7788-8-808-80−2+25−2−252−252−252+252+25−2+25−2−250000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000
χ7888-8-808-80−2−25−2+252+252+252−252−25−2−25−2+250000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000
χ798-88-80000−2+25−2−25−2+252−25−2−252+252−252+2504i2−4i200000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000000
χ808-88-80000−2+25−2−25−2+252−25−2−252+252−252+250−4i24i20000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000000
χ818-88-80000−2−25−2+25−2−252+25−2+252−252+252−2504i2−4i200000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000
χ828-88-80000−2−25−2+25−2−252+25−2+252−252+252−250−4i24i20000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000
χ838-8-88800-8−2+25−2−252−25−2+252+25−2−252−252+2500000−2+25−2−2500002−252+25000000000000000000000000000000000000000000000000000000000
χ848-8-88800-8−2−25−2+252+25−2−252−25−2+252+252−2500000−2−25−2+2500002+252−25000000000000000000000000000000000000000000000000000000000
χ858-8-88-8008−2+25−2−252−25−2+252+25−2−252−252+25000002−252+250000−2+25−2−25000000000000000000000000000000000000000000000000000000000
χ868-8-88-8008−2−25−2+252+25−2−252−25−2+252+252−25000002+252−250000−2−25−2+25000000000000000000000000000000000000000000000000000000000

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