Finite Group Databasebeta

← Group #10613352

Character table — Group #10613352

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111222222222222222244444444444444444444444444444448888101010101616161616161616202020202020202020204040
order1222444455888810101010101048820202020202020202020202040404040404040404040404040404040444444442020202020202020224444888824
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ51111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1
χ61111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11
χ71111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-11
χ81111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1
χ91111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1111-11111-1-1-1-1
χ101111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-11-1-1-1-11111
χ111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-11-1-1-111-1-111
χ121111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1111-1-111-1-1
χ131111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-111-1-11-111-1-111-11
χ141111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-11111-11-1-111-1-11-1
χ151111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-1111-1-1-1-1-1111-1
χ161111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-1-1-1-111111-1-1-11
χ1722222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ1822222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+52000000000000
χ1922222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ2222222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200001+521−521+521−521+521−521+521−52000000000000
χ2322222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2422222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ25222222-2-2220000222222-2002222-2-2-2-2-2-2-2-20000000000000000000022220000000000-2-200000000
χ26222222-2-2220000222222-2002222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-200000000002200000000
χ272222-2-222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ282222-2-222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ292222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2221−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ302222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2221−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ312222-2-222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ322222-2-222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ332222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ342222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ352222-2-2-2-2220000222222200-2-2-2-22222-2-2-2-20000000000000000000022-2-20000000000-2200000000
χ362222-2-2-2-2220000222222200-2-2-2-22222-2-2-2-200000000000000000000-2-22200000000002-200000000
χ3722-2-200-22222i2i−2i−2i-2-22-22-2000000000002-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-2002i−2i000000
χ3822-2-200-22222i2i−2i−2i-2-22-22-2000000000002-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-2200−2i2i000000
χ3922-2-200-2222−2i−2i2i2i-2-22-22-2000000000002-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-200−2i2i000000
χ4022-2-200-2222−2i−2i2i2i-2-22-22-2000000000002-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22002i−2i000000
χ412-2-222-200222−22−222-2-2-2-202−22-22-2000000002−22−22−22−222−2−222−2−200002i−2i2i−2i00000000000000i2−i2i2−i200
χ422-2-222-200222−22−222-2-2-2-202−22-22-2000000002−22−22−22−222−2−222−2−20000−2i2i−2i2i00000000000000−i2i2−i2i200
χ432-2-222-20022−22−2222-2-2-2-20−222-22-200000000−22−22−22−22−2−222−2−22200002i−2i2i−2i00000000000000−i2i2−i2i200
χ442-2-222-20022−22−2222-2-2-2-20−222-22-200000000−22−22−22−22−2−222−2−2220000−2i2i−2i2i00000000000000i2−i2i2−i200
χ452-2-22-2200222−22−222-2-2-2-20−22-22-22000000002−22−22−22−2−2−222−2−22200002i−2i−2i2i00000000000000i2−i2−i2i200
χ462-2-22-2200222−22−222-2-2-2-20−22-22-22000000002−22−22−22−2−2−222−2−2220000−2i2i2i−2i00000000000000−i2i2i2−i200
χ472-2-22-220022−22−2222-2-2-2-202−2-22-2200000000−22−22−22−2222−2−222−2−200002i−2i−2i2i00000000000000−i2i2i2−i200
χ482-2-22-220022−22−2222-2-2-2-202−2-22-2200000000−22−22−22−2222−2−222−2−20000−2i2i2i−2i00000000000000i2−i2−i2i200
χ49444444-4-4−1+5−1−50000−1+5−1−5−1+5−1+5−1−5−1−5-400−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500000000000000000000000000000000000000000000
χ50444444-4-4−1−5−1+50000−1−5−1+5−1−5−1−5−1+5−1+5-400−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500000000000000000000000000000000000000000000
χ514444-4-4-4-4−1+5−1−50000−1+5−1−5−1+5−1+5−1−5−1−54001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000
χ524444-4-4-4-4−1−5−1+50000−1−5−1+5−1−5−1−5−1+5−1+54001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000
χ5344-4-4004-4440000-4-44-44-400000000000-44-4400000000000000000000000000000000000000000000
χ5444-4-4004-4−1+5−1−500001−51+5−1+51−5−1−51+5000000000001−5−1+51+5−1−500000000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000
χ5544-4-4004-4−1+5−1−500001−51+5−1+51−5−1−51+5000000000001−5−1+51+5−1−5000000002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000
χ5644-4-4004-4−1−5−1+500001+51−5−1−51+5−1+51−5000000000001+5−1−51−5−1+5000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000
χ5744-4-4004-4−1−5−1+500001+51−5−1−51+5−1+51−5000000000001+5−1−51−5−1+500000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000
χ5844-4-400-44−1+5−1−54i4i−4i−4i1−51+5−1+51−5−1−51+500000000000−1+51−5−1−51+5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14000000000000000000000000000000000000
χ5944-4-400-44−1+5−1−5−4i−4i4i4i1−51+5−1+51−5−1−51+500000000000−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000000000000000000000
χ6044-4-400-44−1−5−1+54i4i−4i−4i1+51−5−1−51+5−1+51−500000000000−1−51+5−1+51−5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ6144-4-400-44−1−5−1+5−4i−4i4i4i1+51−5−1−51+5−1+51−500000000000−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ624-44-40000442i2−2i2−2i22i2-4-4-44-440000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ634-44-4000044−2i22i22i2−2i2-4-4-44-44000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ644-44-40000−1+5−1−52i2−2i2−2i22i21−51+51−5−1+51+5−1−500000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000ζ7+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+ζ39ζ7−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+ζ390000000000000000000000000000
χ654-44-40000−1+5−1−52i2−2i2−2i22i21−51+51−5−1+51+5−1−50000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000ζ7+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+ζ39−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−ζ390000000000000000000000000000
χ664-44-40000−1+5−1−5−2i22i22i2−2i21−51+51−5−1+51+5−1−500000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−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−ζ39−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−ζ390000000000000000000000000000
χ674-44-40000−1+5−1−5−2i22i22i2−2i21−51+51−5−1+51+5−1−50000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000−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−ζ39ζ7−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+ζ390000000000000000000000000000
χ684-44-40000−1−5−1+52i2−2i2−2i22i21+51−51+5−1−51−5−1+50000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000ζ21+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+ζ37ζ21−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+ζ370000000000000000000000000000
χ694-44-40000−1−5−1+52i2−2i2−2i22i21+51−51+5−1−51−5−1+500000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000ζ21+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+ζ37−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−ζ370000000000000000000000000000
χ704-44-40000−1−5−1+5−2i22i22i2−2i21+51−51+5−1−51−5−1+50000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000−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−ζ37−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−ζ370000000000000000000000000000
χ714-44-40000−1−5−1+5−2i22i22i2−2i21+51−51+5−1−51−5−1+500000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−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−ζ37ζ21−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+ζ370000000000000000000000000000
χ724-4-444-400−1+5−1−522−2222−22−1+5−1−51−51−51+51+5022−22−1+51−5−1−51+500000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−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+ζ390000000000000000000000000000
χ734-4-444-400−1+5−1−5−2222−2222−1+5−1−51−51−51+51+50−2222−1+51−5−1−51+500000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−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−ζ390000000000000000000000000000
χ744-4-444-400−1−5−1+522−2222−22−1−5−1+51+51+51−51−5022−22−1−51+5−1+51−500000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+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−ζ370000000000000000000000000000
χ754-4-444-400−1−5−1+5−2222−2222−1−5−1+51+51+51−51−50−2222−1−51+5−1+51−500000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−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+ζ370000000000000000000000000000
χ764-4-44-4400−1+5−1−522−2222−22−1+5−1−51−51−51+51+50−22221−5−1+51+5−1−500000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−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−ζ390000000000000000000000000000
χ774-4-44-4400−1+5−1−5−2222−2222−1+5−1−51−51−51+51+5022−221−5−1+51+5−1−500000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−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+ζ390000000000000000000000000000
χ784-4-44-4400−1−5−1+522−2222−22−1−5−1+51+51+51−51−50−22221+5−1−51−5−1+500000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−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+ζ370000000000000000000000000000
χ794-4-44-4400−1−5−1+5−2222−2222−1−5−1+51+51+51−51−5022−221+5−1−51−5−1+500000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+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−ζ370000000000000000000000000000

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