Finite Group Databasebeta

← Group #13104180

Character table — Group #13104180

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size111122444444444444444444444444888888888888202020202020202020202020202020202020202020202020404040404040404050505050100100100100
order12442455551010101010101010202020202020202020202020510101010102020202020202244888840404040404040404040404040404040101010102020202022448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-11-11-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11-11-1ii−i−i
χ61111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-11-11-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11-11-1−i−iii
χ71111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1-11-11ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1111-11-1−i−iii
χ81111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-111-1-1-11-11−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1111-11-1ii−i−i
χ911-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11i−ii−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1i−ii−i
χ1011-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11−ii−ii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1−ii−ii
χ1111-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-1−ii−ii
χ1211-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-1i−ii−i
χ1311-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11111-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11
χ1411-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-111-1
χ1511-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-111-1
χ1611-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ1722222222222222222222222222222222222222222200000000000000000000000000000000-2-2-2-20000
χ182222-2-22222-2-2-2-2222222222222-2-2-2-22-2-2-2-22-2-222-2-200000000000000000000000000000000-22-220000
χ1922-2-22-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000-2-2220000
χ2022-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-22200000000000000000000000000000000-222-20000
χ21444444−1+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523−523+523+52−1+5−1+5−1−5−1−5-13−523+52-1-1-13−523+52-1-1-1-1222200000000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ22444444−1+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523−523+523+52−1+5−1+5−1−5−1−5-13−523+52-1-1-13−523+52-1-1-1-1-2-2-2-2000000000000000000001−521+521−521+521−521+521−521+5200000000
χ234444443−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+53−523−523+523+52−1−5−1−5−1+5−1+53−523−523+523+52-1−1−5−1+5-1-1-1−1−5−1+5-1-1-1-100002222−1+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
χ244444443−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+53−523−523+523+52−1−5−1−5−1+5−1+53−523−523+523+52-1−1−5−1+5-1-1-1−1−5−1+5-1-1-1-10000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ254444443+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−53+523+523−523−52−1+5−1+5−1−5−1−53+523+523−523−52-1−1+5−1−5-1-1-1−1+5−1−5-1-1-1-100002222−1−52−1−52−1+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
χ264444443+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−53+523+523−523−52−1+5−1+5−1−5−1−53+523+523−523−52-1−1+5−1−5-1-1-1−1+5−1−5-1-1-1-10000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ27444444−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523+523−523−52−1−5−1−5−1+5−1+5-13+523−52-1-1-13+523−52-1-1-1-1222200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ28444444−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523+523−523−52−1−5−1−5−1+5−1+5-13+523−52-1-1-13+523−52-1-1-1-1-2-2-2-2000000000000000000001+521−521+521−521+521−521+521−5200000000
χ294444-4-4−1+5−1−53−523+521−51−51+51+5−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523−523+523+521−51−51+51+5-1−3+52−3−5211-1−3+52−3−52-1-1112-22-200000000000000000000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ304444-4-4−1+5−1−53−523+521−51−51+51+5−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523−523+523+521−51−51+51+5-1−3+52−3−5211-1−3+52−3−52-1-111-22-22000000000000000000001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ314444-4-43−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+53−523−523+523+52−1−5−1−5−1+5−1+5−3+52−3+52−3−52−3−52-11+51−511-11+51−5-1-11100002i2i−2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ324444-4-43−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+53−523−523+523+52−1−5−1−5−1+5−1+5−3+52−3+52−3−52−3−52-11+51−511-11+51−5-1-1110000−2i−2i2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ334444-4-43+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−53+523+523−523−52−1+5−1+5−1−5−1−5−3−52−3−52−3+52−3+52-11−51+511-11−51+5-1-11100002i2i−2i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ344444-4-43+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−53+523+523−523−52−1+5−1+5−1−5−1−5−3−52−3−52−3+52−3+52-11−51+511-11−51+5-1-1110000−2i−2i2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ354444-4-4−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523+523−523−521+51+51−51−5-1−3−52−3+5211-1−3−52−3+52-1-1112-22-200000000000000000000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ364444-4-4−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523+523−523−521+51+51−51−5-1−3−52−3+5211-1−3−52−3+52-1-111-22-22000000000000000000001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ3744-4-44-4−1+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+521−51−51+51+5−3+52−3+52−3−52−3−521−51−51+51+5-13−523+52-1-1-1−3+52−3−5211112-2-2200000000000000000000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ3844-4-44-4−1+5−1−53−523+52−1+5−1+5−1−5−1−5−1+5−1−53−523+521−51−51+51+5−3+52−3+52−3−52−3−521−51−51+51+5-13−523+52-1-1-1−3+52−3−521111-222-2000000000000000000001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ3944-4-44-43−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+5−3+52−3+52−3−52−3−521+51+51−51−5−3+52−3+52−3−52−3−52-1−1−5−1+5-1-1-11+51−5111100002i−2i2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ4044-4-44-43−523+52−1−5−1+53−523−523+523+523−523+52−1−5−1+5−3+52−3+52−3−52−3−521+51+51−51−5−3+52−3+52−3−52−3−52-1−1−5−1+5-1-1-11+51−511110000−2i2i−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ4144-4-44-43+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−5−3−52−3−52−3+52−3+521−51−51+51+5−3−52−3−52−3+52−3+52-1−1+5−1−5-1-1-11−51+5111100002i−2i2i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ4244-4-44-43+523−52−1+5−1−53+523+523−523−523+523−52−1+5−1−5−3−52−3−52−3+52−3+521−51−51+51+5−3−52−3−52−3+52−3+52-1−1+5−1−5-1-1-11−51+511110000−2i2i−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ4344-4-44-4−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−521+51+51−51−5−3−52−3−52−3+52−3+521+51+51−51−5-13+523−52-1-1-1−3−52−3+5211112-2-2200000000000000000000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ4444-4-44-4−1−5−1+53+523−52−1−5−1−5−1+5−1+5−1−5−1+53+523−521+51+51−51−5−3−52−3−52−3+52−3+521+51+51−51−5-13+523−52-1-1-1−3−52−3+521111-222-2000000000000000000001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ4544-4-4-44−1+5−1−53−523+521−51−51+51+5−1+5−1−53−523+521−51−51+51+5−3+52−3+52−3−52−3−52−1+5−1+5−1−5−1−5-1−3+52−3−5211-13−523+5211-1-122-2-200000000000000000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ4644-4-4-44−1+5−1−53−523+521−51−51+51+5−1+5−1−53−523+521−51−51+51+5−3+52−3+52−3−52−3−52−1+5−1+5−1−5−1−5-1−3+52−3−5211-13−523+5211-1-1-2-222000000000000000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ4744-4-4-443−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+5−3+52−3+52−3−52−3−521+51+51−51−53−523−523+523+52-11+51−511-1−1−5−1+511-1-100002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ4844-4-4-443−523+52−1−5−1+5−3+52−3+52−3−52−3−523−523+52−1−5−1+5−3+52−3+52−3−52−3−521+51+51−51−53−523−523+523+52-11+51−511-1−1−5−1+511-1-10000-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ4944-4-4-443+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−5−3−52−3−52−3+52−3+521−51−51+51+53+523+523−523−52-11−51+511-1−1+5−1−511-1-100002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ5044-4-4-443+523−52−1+5−1−5−3−52−3−52−3+52−3+523+523−52−1+5−1−5−3−52−3−52−3+52−3+521−51−51+51+53+523+523−523−52-11−51+511-1−1+5−1−511-1-10000-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ5144-4-4-44−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−521+51+51−51−5−3−52−3−52−3+52−3+52−1−5−1−5−1+5−1+5-1−3−52−3+5211-13+523−5211-1-122-2-200000000000000000000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ5244-4-4-44−1−5−1+53+523−521+51+51−51−5−1−5−1+53+523−521+51+51−51−5−3−52−3−52−3+52−3+52−1−5−1−5−1+5−1+5-1−3−52−3+5211-13+523−5211-1-1-2-222000000000000000000001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ534-44i−4i0044440000-4-4-4-44i−4i4i−4i4i−4i4i−4i000040000-4004i−4i000000000000000000000000000000000000000000
χ544-44i−4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1005−5100−iii5−i500000000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ290000000000000000
χ554-44i−4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1005−5100−iii5−i500000000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ290000000000000000
χ564-44i−4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-100−55100−ii−i5i500000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ390000000000000000
χ574-44i−4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-100−55100−ii−i5i500000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ390000000000000000
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χ614-44i−4i003+523−52−1+5−1−5−5+525−52−5−525+52−3−52−3+521−51+52ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1005−5100−iii5−i500000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ230000000000000000
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χ634-4−4i4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1005−5100i−i−i5i500000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ390000000000000000
χ644-4−4i4i003−523+52−1−5−1+55+52−5−525−52−5+52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1005−5100i−i−i5i500000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ390000000000000000
χ654-4−4i4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-100−55100i−ii5−i500000000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ290000000000000000
χ664-4−4i4i003−523+52−1−5−1+5−5−525+52−5+525−52−3+52−3−521+51−5−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-100−55100i−ii5−i500000000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ290000000000000000
χ674-4−4i4i003+523−52−1+5−1−55−52−5+525+52−5−52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-100−55100i−ii5−i500000000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ230000000000000000
χ684-4−4i4i003+523−52−1+5−1−55−52−5+525+52−5−52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-100−55100i−ii5−i500000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ230000000000000000
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χ704-4−4i4i003+523−52−1+5−1−5−5+525−52−5−525+52−3−52−3+521−51+5−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1005−5100i−i−i5i500000000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ370000000000000000
χ71888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-2-2333-2-233330000000000000000000000000000000000000000
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χ7388-8-88-8-2-2-2-2-2-2-2-2-2-2-2-22222222222223-2-233322-3-3-3-30000000000000000000000000000000000000000
χ7488-8-8-88-2-2-2-22222-2-2-2-222222222-2-2-2-2322-3-33-2-2-3-3330000000000000000000000000000000000000000
χ758-88i−8i00-2-2-2-225−25−25252222−2i2i−2i2i−2i2i−2i2i2i5−2i52i5−2i5300−55-3003i−3i−i5i50000000000000000000000000000000000000000
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χ778-88i−8i00−2+25−2−253−53+500002−252+25−3+5−3−5−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ142ζ6+2ζ14+4ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ14−2ζ22−2ζ380000-20000200−2i2i000000000000000000000000000000000000000000
χ788-88i−8i00−2−25−2+253+53−500002+252−25−3−5−3+5−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ14−2ζ22−2ζ382ζ6+2ζ14+4ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ380000-20000200−2i2i000000000000000000000000000000000000000000
χ798-8−8i8i00-2-2-2-225−25−252522222i−2i2i−2i2i−2i2i−2i−2i52i5−2i52i5300−55-300−3i3ii5−i50000000000000000000000000000000000000000
χ808-8−8i8i00-2-2-2-2−252525−2522222i−2i2i−2i2i−2i2i−2i2i5−2i52i5−2i53005−5-300−3i3i−i5i50000000000000000000000000000000000000000
χ818-8−8i8i00−2+25−2−253−53+500002−252+25−3+5−3−54ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14−2ζ6−2ζ14−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14+2ζ22+2ζ380000-200002002i−2i000000000000000000000000000000000000000000
χ828-8−8i8i00−2−25−2+253+53−500002+252−25−3−5−3+54ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14+2ζ22+2ζ38−2ζ6−2ζ14−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ380000-200002002i−2i000000000000000000000000000000000000000000

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