Finite Group Databasebeta

← Group #13103548

Character table — Group #13103548

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11222224444558888888881010101010202020202020202020202020204040505050501001122222444455888888888101010101020202020202020202020202020404050505050100
order12455101051020202255101020202020204101010104442020202020202020202020208888422410101010101020202210101010202020202041010101044420202020202020202020202088884
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11
χ3111111111111111111111111111-1111111111111-1-1-1-1-1-1-1111111111111111111111111111-1111111111111-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111-1-1111111111-1-1-1-1-11i−i-1-1iiii−i−i−i−i11ii−i−i-111111111111-1-1111111111-1-1-1-1-11i−i-1-1iiii−i−i−i−i11ii−i−i-1
χ611111111111-1-1111111111-1-1-1-1-11−ii-1-1−i−i−i−iiiii11−i−iii-111111111111-1-1111111111-1-1-1-1-11−ii-1-1−i−i−i−iiiii11−i−iii-1
χ711111111111-1-1111111111-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1−i−iii111111111111-1-1111111111-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1−i−iii1
χ811111111111-1-1111111111-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1ii−i−i111111111111-1-1111111111-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1ii−i−i1
χ9222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ10222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−520-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−520-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000
χ11222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521+521−521+5202i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521+521−521+5202i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000
χ12222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521+521−521+520−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521+521−521+520−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000
χ13222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ14222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+520-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+520-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000
χ15222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521−521+521−5202i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521−521+521−5202i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000
χ16222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521−521+521−520−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521−521+521−520−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000
χ1722-2222222-2-2222222-2-2-2-2-2-22222000-2-200000000000000022-2222222-2-2222222-2-2-2-2-2-22222000-2-2000000000000000
χ1822-2222222-2-2-2-22222-2-2-2-2-22-2-2-2-20002200000000000000022-2222222-2-2-2-22222-2-2-2-2-22-2-2-2-200022000000000000000
χ1922-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1−52−1+52−1−520001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000022-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1−52−1+52−1−520001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ2022-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1−52−1+52−1−520001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000022-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1−52−1+52−1−520001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ2122-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521+521−521+52000−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521+521−521+52000−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000
χ2222-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521+521−521+52000−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521+521−521+52000−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000
χ2322-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1+52−1−52−1+520001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000022-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1+52−1−52−1+520001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ2422-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1+52−1−52−1+520001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000022-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1+52−1−52−1+520001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ2522-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521−521+521−52000−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521−521+521−52000−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000
χ2622-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521−521+521−52000−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521−521+521−52000−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000
χ272-2022-2-22-2002-222-2-200000022-2-20000000000000002−22−202-2022-2-22-2002-222-2-200000022-2-20000000000000002−22−20
χ282-2022-2-22-2002-222-2-200000022-2-2000000000000000−22−2202-2022-2-22-2002-222-2-200000022-2-2000000000000000−22−220
χ292-2022-2-22-200-2222-2-2000000-2-222000000000000000i2−i2−i2i202-2022-2-22-200-2222-2-2000000-2-222000000000000000i2−i2−i2i20
χ302-2022-2-22-200-2222-2-2000000-2-222000000000000000−i2i2i2−i202-2022-2-22-200-2222-2-2000000-2-222000000000000000−i2i2i2−i20
χ314444444-1-14400-1-1-1-1-1-1-1-1-1000004000000000000-1-1000004444444-1-14400-1-1-1-1-1-1-1-1-1000004000000000000-1-100000
χ324444444-1-14400-1-1-1-1-1-1-1-1-100000-400000000000011000004444444-1-14400-1-1-1-1-1-1-1-1-100000-40000000000001100000
χ3344-44444-1-1-4-400-1-1-1-1111110000000000000000005−50000044-44444-1-1-4-400-1-1-1-1111110000000000000000005−500000
χ3444-44444-1-1-4-400-1-1-1-111111000000000000000000−550000044-44444-1-1-4-400-1-1-1-111111000000000000000000−5500000
χ354-40−1+5−1−51−51+54-4004-4−1+5−1−51−51+5000000−1+5−1−51−51+5000000000000000000004-40−1+5−1−51−51+54-4004-4−1+5−1−51−51+5000000−1+5−1−51−51+500000000000000000000
χ364-40−1+5−1−51−51+54-400-44−1+5−1−51−51+50000001−51+5−1+5−1−5000000000000000000004-40−1+5−1−51−51+54-400-44−1+5−1−51−51+50000001−51+5−1+5−1−500000000000000000000
χ374-40−1−5−1+51+51−54-4004-4−1−5−1+51+51−5000000−1−5−1+51+51−5000000000000000000004-40−1−5−1+51+51−54-4004-4−1−5−1+51+51−5000000−1−5−1+51+51−500000000000000000000
χ384-40−1−5−1+51+51−54-400-44−1−5−1+51+51−50000001+51−5−1−5−1+5000000000000000000004-40−1−5−1+51+51−54-400-44−1−5−1+51+51−50000001+51−5−1−5−1+500000000000000000000
χ39888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000
χ40888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000
χ4188-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−52000000000000000000000000088-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−520000000000000000000000000
χ4288-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+52000000000000000000000000088-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+520000000000000000000000000
χ438-8088-8-8-220000-2-2220000000000000000000000000000008-8088-8-8-220000-2-222000000000000000000000000000000
χ448-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ3800000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ380000000000000000000000000
χ458-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ3800000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ380000000000000000000000000
χ468-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ3800000000000000000000000008-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ380000000000000000000000000
χ478-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ3800000000000000000000000008-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ380000000000000000000000000
χ4811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ491111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1
χ50111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-11
χ5211111111111-1-1111111111-1-1-1-1-11i−i-1-1iiii−i−i−i−i11ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1−ii11−i−i−i−iiiii-1-1−i−iii1
χ5311111111111-1-1111111111-1-1-1-1-11−ii-1-1−i−i−i−iiiii11−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1i−i11iiii−i−i−i−i-1-1ii−i−i1
χ5411111111111-1-1111111111-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1−i−iii1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111−ii11−i−i−i−iiiii11ii−i−i-1
χ5511111111111-1-1111111111-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1ii−i−i1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111i−i11iiii−i−i−i−i11−i−iii-1
χ56222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000-2-2-21−521+521−521+52-2-21−521+52-2-21−521+521−521+52-21−521−521+521+52-21−521+521−521+520-2-21−521+521−521−521+521+521−521−521+521+520000000
χ57222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−520-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000-2-2-21−521+521−521+52-2-21−521+52-2-21−521+521−521+52-21−521−521+521+52-21−521+521−521+520221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ58222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521+521−521+5202i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000-2-2-21−521+521−521+52-2-21−521+52221−521+521−521+52-21−521−521+521+522−1+52−1−52−1+52−1−520−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000
χ59222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521+521−521+520−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000-2-2-21−521+521−521+52-2-21−521+52221−521+521−521+52-21−521−521+521+522−1+52−1−52−1+52−1−5202i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000
χ60222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000-2-2-21+521−521+521−52-2-21+521−52-2-21+521−521+521−52-21+521+521−521−52-21+521−521+521−520-2-21+521−521+521+521−521−521+521+521−521−520000000
χ61222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+520-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000-2-2-21+521−521+521−52-2-21+521−52-2-21+521−521+521−52-21+521+521−521−52-21+521−521+521−520221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ62222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521−521+521−5202i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000-2-2-21+521−521+521−52-2-21+521−52221+521−521+521−52-21+521+521−521−522−1−52−1+52−1−52−1+520−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000
χ63222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521−521+521−520−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000-2-2-21+521−521+521−52-2-21+521−52221+521−521+521−52-21+521+521−521−522−1−52−1+52−1−52−1+5202i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000
χ6422-2222222-2-2222222-2-2-2-2-2-22222000-2-2000000000000000-2-22-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2-2-200022000000000000000
χ6522-2222222-2-2-2-22222-2-2-2-2-22-2-2-2-200022000000000000000-2-22-2-2-2-2-2-22222-2-2-2-222222-22222000-2-2000000000000000
χ6622-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1−52−1+52−1−520001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000-2-221−521+521−521+52-2-2−1+52−1−52-2-21−521+521−521+522−1+52−1+52−1−52−1−5221−521+521−521+52000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ6722-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1−52−1+52−1−520001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000-2-221−521+521−521+52-2-2−1+52−1−52-2-21−521+521−521+522−1+52−1+52−1−52−1−5221−521+521−521+52000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ6822-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521+521−521+52000−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000-2-221−521+521−521+52-2-2−1+52−1−52221−521+521−521+522−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−520001−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000
χ6922-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521+521−521+52000−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000-2-221−521+521−521+52-2-2−1+52−1−52221−521+521−521+522−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−520001−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000
χ7022-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1+52−1−52−1+520001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000-2-221+521−521+521−52-2-2−1−52−1+52-2-21+521−521+521−522−1−52−1−52−1+52−1+5221+521−521+521−52000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ7122-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1+52−1−52−1+520001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000-2-221+521−521+521−52-2-2−1−52−1+52-2-21+521−521+521−522−1−52−1−52−1+52−1+5221+521−521+521−52000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ7222-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521−521+521−52000−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000-2-221+521−521+521−52-2-2−1−52−1+52221+521−521+521−522−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+520001+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000
χ7322-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521−521+521−52000−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000-2-221+521−521+521−52-2-2−1−52−1+52221+521−521+521−522−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+520001+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000
χ742-2022-2-22-2002-222-2-200000022-2-20000000000000002−22−20-220-2-222-2200-22-2-222000000-2-222000000000000000−22−220
χ752-2022-2-22-2002-222-2-200000022-2-2000000000000000−22−220-220-2-222-2200-22-2-222000000-2-2220000000000000002−22−20
χ762-2022-2-22-200-2222-2-2000000-2-222000000000000000i2−i2−i2i20-220-2-222-22002-2-2-22200000022-2-2000000000000000−i2i2i2−i20
χ772-2022-2-22-200-2222-2-2000000-2-222000000000000000−i2i2i2−i20-220-2-222-22002-2-2-22200000022-2-2000000000000000i2−i2−i2i20
χ784444444-1-14400-1-1-1-1-1-1-1-1-1000004000000000000-1-100000-4-4-4-4-4-4-411-4-40011111111100000-40000000000001100000
χ794444444-1-14400-1-1-1-1-1-1-1-1-100000-40000000000001100000-4-4-4-4-4-4-411-4-400111111111000004000000000000-1-100000
χ8044-44444-1-1-4-400-1-1-1-1111110000000000000000005−500000-4-44-4-4-4-41144001111-1-1-1-1-1000000000000000000−5500000
χ8144-44444-1-1-4-400-1-1-1-111111000000000000000000−5500000-4-44-4-4-4-41144001111-1-1-1-1-10000000000000000005−500000
χ824-40−1+5−1−51−51+54-4004-4−1+5−1−51−51+5000000−1+5−1−51−51+500000000000000000000-4401−51+5−1+5−1−5-4400-441−51+5−1+5−1−50000001−51+5−1+5−1−500000000000000000000
χ834-40−1+5−1−51−51+54-400-44−1+5−1−51−51+50000001−51+5−1+5−1−500000000000000000000-4401−51+5−1+5−1−5-44004-41−51+5−1+5−1−5000000−1+5−1−51−51+500000000000000000000
χ844-40−1−5−1+51+51−54-4004-4−1−5−1+51+51−5000000−1−5−1+51+51−500000000000000000000-4401+51−5−1−5−1+5-4400-441+51−5−1−5−1+50000001+51−5−1−5−1+500000000000000000000
χ854-40−1−5−1+51+51−54-400-44−1−5−1+51+51−50000001+51−5−1−5−1+500000000000000000000-4401+51−5−1−5−1+5-44004-41+51−5−1−5−1+5000000−1−5−1+51+51−500000000000000000000
χ86888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000-8-8-82−252+252−252+25222−252+2500−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000000000000000000000000
χ87888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000-8-8-82+252−252+252−25222+252−2500−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000000000000000000000000
χ8888-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−520000000000000000000000000-8-882−252+252−252+2522−2+25−2−2500−1+52−1−52−1+52−1−52-21−521−521+521+520000000000000000000000000
χ8988-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+520000000000000000000000000-8-882+252−252+252−2522−2−25−2+2500−1−52−1+52−1−52−1+52-21+521+521−521−520000000000000000000000000
χ908-8088-8-8-220000-2-222000000000000000000000000000000-880-8-8882-2000022-2-2000000000000000000000000000000
χ918-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ380000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ380000000000000000000000000
χ928-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ380000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ380000000000000000000000000
χ938-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ380000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ380000000000000000000000000
χ948-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ380000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ380000000000000000000000000

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