Finite Group Databasebeta

← Group #10602104

Character table — Group #10602104

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size111122222222222222444444444444444444444444444444441616161616161616161620202020202020208080
order122244558888101010101010448820202020202020202020202040404040404040404040404040404040442020202020202020161616161616161644
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1
χ922222222-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ1022222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000
χ11222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ12222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ13222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ14222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ15222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+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+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ16222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+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+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ17222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ18222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ19222222−1−52−1+522222−1−52−1−52−1+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+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ20222222−1−52−1+522222−1−52−1−52−1+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+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+52-2-21+521+521−521−521+521+521−521−520000000000
χ21222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+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+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ22222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+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+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ23222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ24222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ25222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+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+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ26222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+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+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ272222-2-22200002222222-20022-2-222-2-2-2-2-2-20000000000000000000000000022−2−222−2−200
χ282222-2-22200002222222-20022-2-222-2-2-2-2-2-200000000000000000000000000−2−222−2−22200
χ292222-2-2220000222222-2200-2-222-2-222-2-2-2-20000000000000000000000000022−2−2−2−22200
χ302222-2-2220000222222-2200-2-222-2-222-2-2-2-200000000000000000000000000−2−22222−2−200
χ3122-2-22-2220000-2-2-2-222002-2000000002-22-20000000022-2-222-2-20000000000i2−i2i2−i2i2−i2i2−i200
χ3222-2-22-2220000-2-2-2-222002-2000000002-22-20000000022-2-222-2-20000000000−i2i2−i2i2−i2i2−i2i200
χ3322-2-22-2220000-2-2-2-22200-22000000002-22-200000000-2-222-2-2220000000000i2−i2i2−i2−i2i2−i2i200
χ3422-2-22-2220000-2-2-2-22200-22000000002-22-200000000-2-222-2-2220000000000−i2i2−i2i2i2−i2i2−i200
χ3522-2-2-222222-2-2-2-2-2-222000000000000-22-2222-2-222-2-200000000000000000000002i−2i−2i2i00
χ3622-2-2-222222-2-2-2-2-2-222000000000000-22-2222-2-222-2-20000000000000000000000−2i2i2i−2i00
χ3722-2-2-2222-2-222-2-2-2-222000000000000-22-22-2-222-2-2220000000000000000002i−2i−2i2i000000
χ3822-2-2-2222-2-222-2-2-2-222000000000000-22-22-2-222-2-222000000000000000000−2i2i2i−2i000000
χ394444-4-4−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−54-400−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+5000000000000000000000000000000000000
χ404444-4-4−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−5-44001−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000
χ414444-4-4−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+54-400−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−5000000000000000000000000000000000000
χ424444-4-4−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+5-44001+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000
χ4344-4-44-4−1+5−1−500001−51−51+51+5−1+5−1−5004-400000000−1+51−5−1−51+500000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000
χ4444-4-44-4−1+5−1−500001−51−51+51+5−1+5−1−500-4400000000−1+51−5−1−51+5000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000
χ4544-4-44-4−1−5−1+500001+51+51−51−5−1−5−1+5004-400000000−1−51+5−1+51−500000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000
χ4644-4-44-4−1−5−1+500001+51+51−51−5−1−5−1+500-4400000000−1−51+5−1+51−5000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000
χ4744-4-4-44−1+5−1−544-4-41−51−51+51+5−1+5−1−50000000000001−5−1+51+5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000
χ4844-4-4-44−1+5−1−5-4-4441−51−51+51+5−1+5−1−50000000000001−5−1+51+5−1−51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000
χ4944-4-4-44−1−5−1+544-4-41+51+51−51−5−1−5−1+50000000000001+5−1−51−5−1+5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000
χ5044-4-4-44−1−5−1+5-4-4441+51+51−51−5−1−5−1+50000000000001+5−1−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000
χ514-44-4004422−2222−224-44-4-4-4000000000000000022−2222−2222−2222−220000000000000000000000000000
χ524-44-40044−2222−22224-44-4-4-40000000000000000−2222−2222−2222−22220000000000000000000000000000
χ534-44-400−1+5−1−522−2222−22−1+51−5−1−51+51−51+500002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36000000−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+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000
χ544-44-400−1+5−1−522−2222−22−1+51−5−1−51+51−51+50000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36000000−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−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−ζ3900000000000000000000
χ554-44-400−1+5−1−5−2222−2222−1+51−5−1−51+51−51+500002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36000000ζ7−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−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−ζ3900000000000000000000
χ564-44-400−1+5−1−5−2222−2222−1+51−5−1−51+51−51+50000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36000000ζ7−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+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000
χ574-44-400−1−5−1+522−2222−22−1−51+5−1+51−51+51−50000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28000000ζ21+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+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−ζ3700000000000000000000
χ584-44-400−1−5−1+522−2222−22−1−51+5−1+51−51+51−500002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28000000ζ21+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−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000
χ594-44-400−1−5−1+5−2222−2222−1−51+5−1+51−51+51−50000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28000000−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−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000
χ604-44-400−1−5−1+5−2222−2222−1−51+5−1+51−51+51−500002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28000000−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+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−ζ3700000000000000000000
χ614-4-44004422−22−2222-44-44-4-4000000000000000022−22−222222−22−22220000000000000000000000000000
χ624-4-440044−222222−22-44-44-4-40000000000000000−222222−22−222222−220000000000000000000000000000
χ634-4-4400−1+5−1−522−22−22221−5−1+51+5−1−51−51+50000002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ360000−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−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−ζ3900000000000000000000
χ644-4-4400−1+5−1−522−22−22221−5−1+51+5−1−51−51+5000000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ360000−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−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000
χ654-4-4400−1+5−1−5−222222−221−5−1+51+5−1−51−51+50000002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ360000ζ7−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+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+ζ3900000000000000000000
χ664-4-4400−1+5−1−5−222222−221−5−1+51+5−1−51−51+5000000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ360000ζ7−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+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000
χ674-4-4400−1−5−1+522−22−22221+5−1−51−5−1+51+51−5000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ280000ζ21+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+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000
χ684-4-4400−1−5−1+522−22−22221+5−1−51−5−1+51+51−50000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000ζ21+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+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−ζ3700000000000000000000
χ694-4-4400−1−5−1+5−222222−221+5−1−51−5−1+51+51−5000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ280000−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−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000
χ704-4-4400−1−5−1+5−222222−221+5−1−51−5−1+51+51−50000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000−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−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+ζ3700000000000000000000

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