Finite Group Databasebeta

← Group #12009967

Character table — Group #12009967

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size111122222222224444444488888888816161616161616161616161616161616161616161616161616161616161616162020404040808080808080
order1222225510101010101022441010101041010101020202020244488101010102020202020202020202020202020404040404040404022244444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1
χ61111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1
χ911111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1i−ii−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-11-11-1i−ii−i
χ1011111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1i−ii−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-11−ii−ii
χ1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1−ii−ii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-11-11-1−ii−ii
χ1211111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1−ii−ii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11-11-11i−ii−i
χ1311111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii11-11-1-11i−i−ii
χ1411111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii-1-11-111-1−iii−i
χ1511111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i11-11-1-11−iii−i
χ1611111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i-1-11-111-1i−i−ii
χ172222222222222222-2-22222-22222-2-2-2-20000000000-2-200000000000000000000222-2-2000000
χ182222222222222222-2-22222-22222-2-2-2-20000000000-2-200000000000000000000-2-2-222000000
χ1922222222222222-2-2222222-2-2-2-2-222220000000000-2-20000000000000000000022-2-22000000
χ2022222222222222-2-2222222-2-2-2-2-222220000000000-2-200000000000000000000-2-222-2000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−5200000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+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+5200000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−5221−521+521−521+521−521−521+521+522-22i−2i2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−5221−521+521−521+521−521−521+521+522-2−2i2i−2i2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−5221−521+521−521+521−521−521+521+52-222i−2i−2i2i1−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−5221−521+521−521+521−521−521+521+52-22−2i2i2i−2i1−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+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+5200000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1+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+521−521−5200000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+5221+521−521+521−521+521+521−521−522-22i−2i2i−2i−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+5221+521−521+521−521+521+521−521−522-2−2i2i−2i2i−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+5221+521−521+521−521+521+521−521−52-222i−2i−2i2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+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−ζ3800000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+5221+521−521+521−521+521+521−521−52-22−2i2i2i−2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+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+ζ3800000000000
χ37444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−544-4-4−1+5−1−5−1+5−1−5-4−1+5−1−5−1+5−1−51−51−51+51+500000000001−51+50000000000000000000000000000000
χ38444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-444−1+5−1−5−1+5−1−5-41−51+51−51+5−1+5−1+5−1−5−1−500000000001−51+50000000000000000000000000000000
χ39444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+544-4-4−1−5−1+5−1−5−1+5-4−1−5−1+5−1−5−1+51+51+51−51−500000000001+51−50000000000000000000000000000000
χ40444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-444−1−5−1+5−1−5−1+5-41+51−51+51−5−1−5−1−5−1+5−1+500000000001+51−50000000000000000000000000000000
χ414444-4-4444444440000-4-4-4-4000000000000000000000000000000000000000004-4000000000
χ424444-4-4444444440000-4-4-4-400000000000000000000000000000000000000000-44000000000
χ434-4-444-44444-4-4-4-4004i−4i44-4-4000004i−4i4i−4i0000000000000000000000000000000000000000000
χ444-4-444-44444-4-4-4-400−4i4i44-4-400000−4i4i−4i4i0000000000000000000000000000000000000000000
χ454-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5004i−4i−1+5−1−51−51+500000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000−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−ζ360000000000000000000
χ464-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5004i−4i−1+5−1−51−51+500000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000ζ12+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+ζ360000000000000000000
χ474-4-444-4−1+5−1−5−1+5−1−51−51−51+51+500−4i4i−1+5−1−51−51+5000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000ζ12−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+ζ360000000000000000000
χ484-4-444-4−1+5−1−5−1+5−1−51−51−51+51+500−4i4i−1+5−1−51−51+5000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000−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−ζ360000000000000000000
χ494-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5004i−4i−1−5−1+51+51−500000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000−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−ζ380000000000000000000
χ504-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5004i−4i−1−5−1+51+51−500000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000ζ4−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+ζ380000000000000000000
χ514-4-444-4−1−5−1+5−1−5−1+51+51+51−51−500−4i4i−1−5−1+51+51−5000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000−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+ζ380000000000000000000
χ524-4-444-4−1−5−1+5−1−5−1+51+51+51−51−500−4i4i−1−5−1+51+51−5000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000ζ4+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−ζ380000000000000000000
χ534-4-44-444444-4-4-4-44-400-4-4440-4-44400000000000000000000000000000000000000000000000
χ544-4-44-444444-4-4-4-4-4400-4-444044-4-400000000000000000000000000000000000000000000000
χ554-4-44-44−1+5−1−5−1+5−1−51−51−51+51+54-4001−51+5−1+5−1−501−51+5−1+5−1−50000000000000000000000000000−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+ζ3900000000000
χ564-4-44-44−1+5−1−5−1+5−1−51−51−51+51+54-4001−51+5−1+5−1−501−51+5−1+5−1−50000000000000000000000000000ζ7+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−ζ3900000000000
χ574-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5-44001−51+5−1+5−1−50−1+5−1−51−51+50000000000000000000000000000ζ7−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+ζ3900000000000
χ584-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5-44001−51+5−1+5−1−50−1+5−1−51−51+50000000000000000000000000000−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−ζ3900000000000
χ594-4-44-44−1−5−1+5−1−5−1+51+51+51−51−54-4001+51−5−1−5−1+501+51−5−1−5−1+50000000000000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000
χ604-4-44-44−1−5−1+5−1−5−1+51+51+51−51−54-4001+51−5−1−5−1+501+51−5−1−5−1+50000000000000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000
χ614-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5-44001+51−5−1−5−1+50−1−5−1+51+51−50000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000
χ624-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5-44001+51−5−1−5−1+50−1−5−1+51+51−50000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000
χ638888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−2500002−252+252−252+250000000000000000000000000000000000000000000000000000
χ648888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+2500002+252−252+252−250000000000000000000000000000000000000000000000000000
χ6588-8-80088-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ6688-8-800−2+25−2−252−252+25−2+252−25−2−252+25000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000
χ6788-8-800−2+25−2−252−252+25−2+252−25−2−252+2500000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000
χ6888-8-800−2−25−2+252+252−25−2−252+25−2+252−2500000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000
χ6988-8-800−2−25−2+252+252−25−2−252+25−2+252−25000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000
χ708-88-80088-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ718-88-800−2+25−2−252−252+252−25−2+252+25−2−25000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000
χ728-88-800−2+25−2−252−252+252−25−2+252+25−2−2500000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000
χ738-88-800−2−25−2+252+252−252+25−2−252−25−2+2500000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000
χ748-88-800−2−25−2+252+252−252+25−2−252−25−2+25000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000

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