Finite Group Databasebeta

← Group #12010310

Character table — Group #12010310

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222222244444444448888888888888101016161616161616161616161616161616161616161616202020202032323232404040404080808080
order122445510102488101020202020810101616161620204040404088448840404040404040404040808080808080808022448202020208161616162488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111
χ81111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ9111111111-1-1-1-11111111-1-1ii−i−i-1-1-1-1-1-1111-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-11-1111-1-1-1ii−i−i1-1i−i
χ10111111111-1-1-1-11111111-1-1ii−i−i-1-1-1-1-1-111-11−ii11−i−i−i−iiiiiiiii−i−i−i−i1-11-11-1-111-1ii−i−i-11−ii
χ11111111111-1-1-1-11111111-1-1ii−i−i-1-1-1-1-1-1-1-11-1i−i11iiii−i−i−i−iiiii−i−i−i−i-11-11-111-1-11−i−iii-11−ii
χ12111111111-1-1-1-11111111-1-1ii−i−i-1-1-1-1-1-1-1-1-11−ii11−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1-1111−i−iii1-1i−i
χ13111111111-1-1-1-11111111-1-1−i−iii-1-1-1-1-1-1111-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-11-1111-1-1-1−i−iii1-1−ii
χ14111111111-1-1-1-11111111-1-1−i−iii-1-1-1-1-1-111-11i−i11iiii−i−i−i−i−i−i−i−iiiii1-11-11-1-111-1−i−iii-11i−i
χ15111111111-1-1-1-11111111-1-1−i−iii-1-1-1-1-1-1-1-11-1−ii11−i−i−i−iiiii−i−i−i−iiiii-11-11-111-1-11ii−i−i-11i−i
χ16111111111-1-1-1-11111111-1-1−i−iii-1-1-1-1-1-1-1-1-11i−i11iiii−i−i−i−i−i−i−i−iiiii-11-11-1-1-1111ii−i−i1-1−ii
χ1722222222222-2-2222222-222000022-2-2-2-2220000-2-20000000000000000-2-2-2-220000200000000
χ1822222222222-2-2222222-222000022-2-2-2-2-2-20000-2-200000000000000002222-20000-200000000
χ19222222222-2-222222222-2-2-20000-2-22222220000-2-20000000000000000-22-2220000-200000000
χ20222222222-2-222222222-2-2-20000-2-22222-2-20000-2-200000000000000002-22-2-20000200000000
χ2122222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52002222−1+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+52−1−52−1−5200000−1+52−1−52−1+52−1−52000000000
χ2222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+52000000000
χ2322222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−520022-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000−1+52−1−52−1+52−1−52000000000
χ2422222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−5200-2-222−1+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+52000001−521+521−521+52000000000
χ2522222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5221−521+522i2i−2i−2i1−521+521−521−521+521+52002-22i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000−1+52−1−521−521+52000000000
χ2622222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5221−521+522i2i−2i−2i1−521+521−521−521+521+5200-22−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000001−521+52−1+52−1−52000000000
χ2722222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5221−521+52−2i−2i2i2i1−521+521−521−521+521+52002-2−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000−1+52−1−521−521+52000000000
χ2822222−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5221−521+52−2i−2i2i2i1−521+521−521−521+521+5200-222i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000001−521+52−1+52−1−52000000000
χ2922222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+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+5200000−1−52−1+52−1−52−1+52000000000
χ3022222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000001+521−521+521−52000000000
χ3122222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+520022-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000−1−52−1+52−1−52−1+52000000000
χ3222222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5200-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000001+521−521+521−52000000000
χ3322222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5221+521−522i2i−2i−2i1+521−521+521+521−521−52002-22i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000−1−52−1+521+521−52000000000
χ3422222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5221+521−522i2i−2i−2i1+521−521+521+521−521−5200-22−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000001+521−52−1−52−1+52000000000
χ3522222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5221+521−52−2i−2i2i2i1+521−521+521+521−521−52002-2−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000−1−52−1+521+521−52000000000
χ3622222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5221+521−52−2i−2i2i2i1+521−521+521+521−521−5200-222i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000001+521−52−1−52−1+52000000000
χ37222-2-222222-20022-2-2-2-2022i2−i2i2−i2-2-200000000000000000000i2−i2i2−i2i2−i2i2−i22-2-22000000i2−i2i2−i20000
χ38222-2-222222-20022-2-2-2-2022i2−i2i2−i2-2-200000000000000000000i2−i2i2−i2i2−i2i2−i2-222-2000000−i2i2−i2i20000
χ39222-2-222222-20022-2-2-2-2022−i2i2−i2i2-2-200000000000000000000−i2i2−i2i2−i2i2−i2i22-2-22000000−i2i2−i2i20000
χ40222-2-222222-20022-2-2-2-2022−i2i2−i2i2-2-200000000000000000000−i2i2−i2i2−i2i2−i2i2-222-2000000i2−i2i2−i20000
χ41222-2-22222-220022-2-2-2-20-2-22−2−2222000000000000000000002−22−2−22−2222-2-20000002−2−220000
χ42222-2-22222-220022-2-2-2-20-2-22−2−2222000000000000000000002−22−2−22−22-2-222000000−222−20000
χ43222-2-22222-220022-2-2-2-20-2-2−222−22200000000000000000000−22−222−22−222-2-2000000−222−20000
χ44222-2-22222-220022-2-2-2-20-2-2−222−22200000000000000000000−22−222−22−2-2-2220000002−2−220000
χ4544444−1+5−1−5−1+5−1−544-4-4−1+5−1−5−1+5−1−5−1+5−1−5-4−1+5−1−50000−1+5−1−51−51−51+51+50000001−51+50000000000000000000000000000000000
χ4644444−1+5−1−5−1+5−1−5-4-444−1+5−1−5−1+5−1−5−1+5−1−5-41−51+500001−51+5−1+5−1+5−1−5−1−50000001−51+50000000000000000000000000000000000
χ4744444−1−5−1+5−1−5−1+544-4-4−1−5−1+5−1−5−1+5−1−5−1+5-4−1−5−1+50000−1−5−1+51+51+51−51−50000001+51−50000000000000000000000000000000000
χ4844444−1−5−1+5−1−5−1+5-4-444−1−5−1+5−1−5−1+5−1−5−1+5-41+51−500001+51−5−1−5−1−5−1+5−1+50000001+51−50000000000000000000000000000000000
χ49444-4-4−1+5−1−5−1+5−1−54-400−1+5−1−51−51+51−51+50−1+5−1−52i2−2i22i2−2i21−51+500000000000000000000ζ7+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−ζ39000000000000000000
χ50444-4-4−1+5−1−5−1+5−1−54-400−1+5−1−51−51+51−51+50−1+5−1−5−2i22i2−2i22i21−51+500000000000000000000−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+ζ39000000000000000000
χ51444-4-4−1+5−1−5−1+5−1−5-4400−1+5−1−51−51+51−51+501−51+522−22−2222−1+5−1−500000000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000
χ52444-4-4−1+5−1−5−1+5−1−5-4400−1+5−1−51−51+51−51+501−51+5−222222−22−1+5−1−500000000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000
χ53444-4-4−1−5−1+5−1−5−1+54-400−1−5−1+51+51−51+51−50−1−5−1+52i2−2i22i2−2i21+51−500000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000
χ54444-4-4−1−5−1+5−1−5−1+54-400−1−5−1+51+51−51+51−50−1−5−1+5−2i22i2−2i22i21+51−500000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000
χ55444-4-4−1−5−1+5−1−5−1+5-4400−1−5−1+51+51−51+51−501+51−522−22−2222−1−5−1+500000000000000000000ζ21+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+ζ37000000000000000000
χ56444-4-4−1−5−1+5−1−5−1+5-4400−1−5−1+51+51−51+51−501+51−5−222222−22−1−5−1+500000000000000000000−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−ζ37000000000000000000
χ5744-44-44444004i−4i-4-444-4-40000000004i−4i4i−4i000000000000000000000000000000000000000000
χ5844-44-4444400−4i4i-4-444-4-4000000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5944-44-4−1+5−1−5−1+5−1−5004i−4i1−51+5−1+5−1−51−51+5000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ3600000000000000000000000000
χ6044-44-4−1+5−1−5−1+5−1−5004i−4i1−51+5−1+5−1−51−51+5000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ3600000000000000000000000000
χ6144-44-4−1+5−1−5−1+5−1−500−4i4i1−51+5−1+5−1−51−51+50000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ3600000000000000000000000000
χ6244-44-4−1+5−1−5−1+5−1−500−4i4i1−51+5−1+5−1−51−51+50000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ3600000000000000000000000000
χ6344-44-4−1−5−1+5−1−5−1+5004i−4i1+51−5−1−5−1+51+51−5000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ3800000000000000000000000000
χ6444-44-4−1−5−1+5−1−5−1+5004i−4i1+51−5−1−5−1+51+51−5000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ3800000000000000000000000000
χ6544-44-4−1−5−1+5−1−5−1+500−4i4i1+51−5−1−5−1+51+51−50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ3800000000000000000000000000
χ6644-44-4−1−5−1+5−1−5−1+500−4i4i1+51−5−1−5−1+51+51−50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ3800000000000000000000000000
χ6744-4-4444440000-4-4-4-44400000000000004400000000000000000000000000-40000000000000
χ6844-4-4444440000-4-4-4-4440000000000000-4-40000000000000000000000000040000000000000
χ6988-8-88−2+25−2−25−2+25−2−2500002−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000
χ7088-8-88−2−25−2+25−2−25−2+2500002+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000
χ718-800088-8-8000000000000000000000004i2−4i20000000000000000000000000000000000000000
χ728-800088-8-800000000000000000000000−4i24i20000000000000000000000000000000000000000
χ7316-16000−4+45−4−454−454+4500000000000000000000000000000000000000000000000000000000000000000
χ7416-16000−4−45−4+454+454−4500000000000000000000000000000000000000000000000000000000000000000

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