Finite Group Databasebeta

← Group #13104183

Character table — Group #13104183

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size112444444444444888888202020202020202020202020404040405050100100112444444444444888888202020202020202020202020404040405050100100
order12455551010101020202020510202020204488404040404040404020202020248822410101010101010102020202010102020202044884040404040404040202020202488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111-1-11111111111-1-1-1-111-1-1111111111111111111111-1-11111111111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-111111111-1-1-1-111-1-1-1-11-1i−iiiii−i−i−i−i11-1-11-1i−i11-111111111-1-1-1-111-1-1-1-11-1i−iiiii−i−i−i−i11-1-11-1i−i
χ611-111111111-1-1-1-111-1-1-1-11-1−ii−i−i−i−iiiii11-1-11-1−ii11-111111111-1-1-1-111-1-1-1-11-1−ii−i−i−i−iiiii11-1-11-1−ii
χ711-111111111-1-1-1-111-1-1-1-1-11i−iiiii−i−i−i−i-1-1111-1−ii11-111111111-1-1-1-111-1-1-1-1-11i−iiiii−i−i−i−i-1-1111-1−ii
χ811-111111111-1-1-1-111-1-1-1-1-11−ii−i−i−i−iiiii-1-1111-1i−i11-111111111-1-1-1-111-1-1-1-1-11−ii−i−i−i−iiiii-1-1111-1i−i
χ92222222222222222222220000000000000000-2-2002222222222222222222220000000000000000-2-200
χ1022-222222222-2-2-2-222-2-2-2-20000000000000000-220022-222222222-2-2-2-222-2-2-2-20000000000000000-2200
χ11444−1+53−523+52−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-1220000000000−1+52−1−52−1+52−1−520000444−1+53−523+52−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-1220000000000−1+52−1−52−1+52−1−520000
χ12444−1+53−523+52−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-1-2-200000000001−521+521−521+520000444−1+53−523+52−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-1-2-200000000001−521+521−521+520000
χ134443−52−1−5−1+53+523−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-10022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000004443−52−1−5−1+53+523−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-10022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ144443−52−1−5−1+53+523−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-100-2-21−521−521+521+521−521−521+521+52000000004443−52−1−5−1+53+523−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-100-2-21−521−521+521+521−521−521+521+5200000000
χ154443+52−1+5−1−53−523+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-10022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000004443+52−1+5−1−53−523+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-10022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ164443+52−1+5−1−53−523+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-100-2-21+521+521−521−521+521+521−521−52000000004443+52−1+5−1−53−523+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-100-2-21+521+521−521−521+521+521−521−5200000000
χ17444−1−53+523−52−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-1220000000000−1−52−1+52−1−52−1+520000444−1−53+523−52−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-1220000000000−1−52−1+52−1−52−1+520000
χ18444−1−53+523−52−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-1-2-200000000001+521−521+521−520000444−1−53+523−52−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-1-2-200000000001+521−521+521−520000
χ1944-4−1+53−523+52−1−5−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−52112-20000000000−1+52−1−521−521+52000044-4−1+53−523+52−1−5−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−52112-20000000000−1+52−1−521−521+520000
χ2044-4−1+53−523+52−1−5−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−5211-2200000000001−521+52−1+52−1−52000044-4−1+53−523+52−1−5−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−5211-2200000000001−521+52−1+52−1−520000
χ2144-43−52−1−5−1+53+523−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−511002i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000044-43−52−1−5−1+53+523−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−511002i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000
χ2244-43−52−1−5−1+53+523−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−51100−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000044-43−52−1−5−1+53+523−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−51100−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000
χ2344-43+52−1+5−1−53−523+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+511002i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000044-43+52−1+5−1−53−523+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+511002i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000
χ2444-43+52−1+5−1−53−523+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+51100−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000044-43+52−1+5−1−53−523+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+51100−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000
χ2544-4−1−53+523−52−1+5−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+52112-20000000000−1−52−1+521+521−52000044-4−1−53+523−52−1+5−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+52112-20000000000−1−52−1+521+521−520000
χ2644-4−1−53+523−52−1+5−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+5211-2200000000001+521−52−1−52−1+52000044-4−1−53+523−52−1+5−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+5211-2200000000001+521−52−1−52−1+520000
χ274-404444-4-4-4-400004-40000000000000000000000004-404444-4-4-4-400004-4000000000000000000000000
χ284-403−52−1−5−1+53+52−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i50000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29000000004-403−52−1−5−1+53+52−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i50000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000
χ294-403−52−1−5−1+53+52−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i50000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29000000004-403−52−1−5−1+53+52−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i50000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000
χ304-403−52−1−5−1+53+52−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i50000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000000004-403−52−1−5−1+53+52−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i50000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000
χ314-403−52−1−5−1+53+52−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i50000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000000004-403−52−1−5−1+53+52−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i50000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000
χ324-403+52−1+5−1−53−52−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i50000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000000004-403+52−1+5−1−53−52−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i50000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000
χ334-403+52−1+5−1−53−52−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i50000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000000004-403+52−1+5−1−53−52−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i50000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000
χ344-403+52−1+5−1−53−52−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i50000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37000000004-403+52−1+5−1−53−52−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i50000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000
χ354-403+52−1+5−1−53−52−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i50000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37000000004-403+52−1+5−1−53−52−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i50000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000
χ36888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000
χ3788-8-2-2-2-2-2-2-2-222223322-3-30000000000000000000088-8-2-2-2-2-2-2-2-222223322-3-300000000000000000000
χ388-80-2-2-2-222222i5−2i52i5−2i53-300−i5i5000000000000000000008-80-2-2-2-222222i5−2i52i5−2i53-300−i5i500000000000000000000
χ398-80-2-2-2-22222−2i52i5−2i52i53-300i5−i5000000000000000000008-80-2-2-2-22222−2i52i5−2i52i53-300i5−i500000000000000000000
χ408-80−2+253−53+5−2−252−252+25−3+5−3−50000-220000000000000000000000008-80−2+253−53+5−2−252−252+25−3+5−3−50000-22000000000000000000000000
χ418-80−2−253+53−5−2+252+252−25−3−5−3+50000-220000000000000000000000008-80−2−253+53−5−2+252+252−25−3−5−3+50000-22000000000000000000000000
χ4211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4311111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ44111111111111111111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ45111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4611-111111111-1-1-1-111-1-1-1-11-1i−iiiii−i−i−i−i11-1-11-1i−i-1-11-1-1-1-1-1-1-1-11111-1-11111-11−ii−i−i−i−iiiii-1-111-11−ii
χ4711-111111111-1-1-1-111-1-1-1-11-1−ii−i−i−i−iiiii11-1-11-1−ii-1-11-1-1-1-1-1-1-1-11111-1-11111-11i−iiiii−i−i−i−i-1-111-11i−i
χ4811-111111111-1-1-1-111-1-1-1-1-11i−iiiii−i−i−i−i-1-1111-1−ii-1-11-1-1-1-1-1-1-1-11111-1-111111-1−ii−i−i−i−iiiii11-1-1-11i−i
χ4911-111111111-1-1-1-111-1-1-1-1-11−ii−i−i−i−iiiii-1-1111-1i−i-1-11-1-1-1-1-1-1-1-11111-1-111111-1i−iiiii−i−i−i−i11-1-1-11−ii
χ502222222222222222222220000000000000000-2-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200
χ5122-222222222-2-2-2-222-2-2-2-20000000000000000-2200-2-22-2-2-2-2-2-2-2-22222-2-2222200000000000000002-200
χ52444−1+53−523+52−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-1220000000000−1+52−1−52−1+52−1−520000-4-4-41−5−3+52−3−521+51−51+5−3+52−3−521−51−51+51+511−3+52−3−5211-2-200000000001−521+521−521+520000
χ53444−1+53−523+52−1−5−1+5−1−53−523+52−1+5−1+5−1−5−1−5-1-13−523+52-1-1-2-200000000001−521+521−521+520000-4-4-41−5−3+52−3−521+51−51+5−3+52−3−521−51−51+51+511−3+52−3−5211220000000000−1+52−1−52−1+52−1−520000
χ544443−52−1−5−1+53+523−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-10022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-4-4-4−3+521+51−5−3−52−3+52−3−521+51−5−3+52−3+52−3−52−3−52111+51−51100-2-21−521−521+521+521−521−521+521+5200000000
χ554443−52−1−5−1+53+523−523+52−1−5−1+53−523−523+523+52-1-1−1−5−1+5-1-100-2-21−521−521+521+521−521−521+521+5200000000-4-4-4−3+521+51−5−3−52−3+52−3−521+51−5−3+52−3+52−3−52−3−52111+51−5110022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ564443+52−1+5−1−53−523+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-10022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-4-4-4−3−521−51+5−3+52−3−52−3+521−51+5−3−52−3−52−3+52−3+52111−51+51100-2-21+521+521−521−521+521+521−521−5200000000
χ574443+52−1+5−1−53−523+523−52−1+5−1−53+523+523−523−52-1-1−1+5−1−5-1-100-2-21+521+521−521−521+521+521−521−5200000000-4-4-4−3−521−51+5−3+52−3−52−3+521−51+5−3−52−3−52−3+52−3+52111−51+5110022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ58444−1−53+523−52−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-1220000000000−1−52−1+52−1−52−1+520000-4-4-41+5−3−52−3+521−51+51−5−3−52−3+521+51+51−51−511−3−52−3+5211-2-200000000001+521−521+521−520000
χ59444−1−53+523−52−1+5−1−5−1+53+523−52−1−5−1−5−1+5−1+5-1-13+523−52-1-1-2-200000000001+521−521+521−520000-4-4-41+5−3−52−3+521−51+51−5−3−52−3+521+51+51−51−511−3−52−3+5211220000000000−1−52−1+52−1−52−1+520000
χ6044-4−1+53−523+52−1−5−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−52112-20000000000−1+52−1−521−521+520000-4-441−5−3+52−3−521+51−51+5−3+52−3−52−1+5−1+5−1−5−1−5113−523+52-1-1-2200000000001−521+52−1+52−1−520000
χ6144-4−1+53−523+52−1−5−1+5−1−53−523+521−51−51+51+5-1-1−3+52−3−5211-2200000000001−521+52−1+52−1−520000-4-441−5−3+52−3−521+51−51+5−3+52−3−52−1+5−1+5−1−5−1−5113−523+52-1-12-20000000000−1+52−1−521−521+520000
χ6244-43−52−1−5−1+53+523−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−511002i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000-4-44−3+521+51−5−3−52−3+52−3−521+51−53−523−523+523+5211−1−5−1+5-1-100−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000
χ6344-43−52−1−5−1+53+523−523+52−1−5−1+5−3+52−3+52−3−52−3−52-1-11+51−51100−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000-4-44−3+521+51−5−3−52−3+52−3−521+51−53−523−523+523+5211−1−5−1+5-1-1002i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000
χ6444-43+52−1+5−1−53−523+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+511002i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000-4-44−3−521−51+5−3+52−3−52−3+521−51+53+523+523−523−5211−1+5−1−5-1-100−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000
χ6544-43+52−1+5−1−53−523+523−52−1+5−1−5−3−52−3−52−3+52−3+52-1-11−51+51100−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000-4-44−3−521−51+5−3+52−3−52−3+521−51+53+523+523−523−5211−1+5−1−5-1-1002i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000
χ6644-4−1−53+523−52−1+5−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+52112-20000000000−1−52−1+521+521−520000-4-441+5−3−52−3+521−51+51−5−3−52−3+52−1−5−1−5−1+5−1+5113+523−52-1-1-2200000000001+521−52−1−52−1+520000
χ6744-4−1−53+523−52−1+5−1−5−1+53+523−521+51+51−51−5-1-1−3−52−3+5211-2200000000001+521−52−1−52−1+520000-4-441+5−3−52−3+521−51+51−5−3−52−3+52−1−5−1−5−1+5−1+5113+523−52-1-12-20000000000−1−52−1+521+521−520000
χ684-404444-4-4-4-400004-4000000000000000000000000-440-4-4-4-444440000-44000000000000000000000000
χ694-403−52−1−5−1+53+52−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i50000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000-440−3+521+51−5−3−523−523+52−1−5−1+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ381-100−i5i50000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000
χ704-403−52−1−5−1+53+52−3+52−3−521+51−53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1100i5−i50000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000-440−3+521+51−5−3−523−523+52−1−5−1+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ381-100−i5i50000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000
χ714-403−52−1−5−1+53+52−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i50000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000-440−3+521+51−5−3−523−523+52−1−5−1+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ381-100i5−i50000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000
χ724-403−52−1−5−1+53+52−3+52−3−521+51−5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1100−i5i50000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000-440−3+521+51−5−3−523−523+52−1−5−1+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ381-100i5−i50000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000
χ734-403+52−1+5−1−53−52−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i50000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000-440−3−521−51+5−3+523+523−52−1+5−1−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ381-100−i5i50000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000
χ744-403+52−1+5−1−53−52−3−52−3+521−51+5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1100i5−i50000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000-440−3−521−51+5−3+523+523−52−1+5−1−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ381-100−i5i50000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000
χ754-403+52−1+5−1−53−52−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i50000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000-440−3−521−51+5−3+523+523−52−1+5−1−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ381-100i5−i50000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000
χ764-403+52−1+5−1−53−52−3−52−3+521−51+52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1100−i5i50000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000-440−3−521−51+5−3+523+523−52−1+5−1−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ381-100i5−i50000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000
χ77888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000-8-8-8222222222222-3-322-3-300000000000000000000
χ7888-8-2-2-2-2-2-2-2-222223322-3-300000000000000000000-8-8822222222-2-2-2-2-3-3-2-23300000000000000000000
χ798-80-2-2-2-222222i5−2i52i5−2i53-300−i5i500000000000000000000-8802222-2-2-2-2−2i52i5−2i52i5-3300i5−i500000000000000000000
χ808-80-2-2-2-22222−2i52i5−2i52i53-300i5−i500000000000000000000-8802222-2-2-2-22i5−2i52i5−2i5-3300−i5i500000000000000000000
χ818-80−2+253−53+5−2−252−252+25−3+5−3−50000-22000000000000000000000000-8802−25−3+5−3−52+25−2+25−2−253−53+500002-2000000000000000000000000
χ828-80−2−253+53−5−2+252+252−25−3−5−3+50000-22000000000000000000000000-8802+25−3−5−3+52−25−2−25−2+253+53−500002-2000000000000000000000000

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