Finite Group Databasebeta

← Group #13087728

Character table — Group #13087728

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222444444444444444444444444444888888888888888888888888888889918181818183030303036363636363636606060606060120120
order12334556610102361010101012121515151515151515202030303030303030306666123030303030303030303030303030303060606060606060602241010101088882101010102020222424242466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-11
χ511111111111-111-1-1-1-111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-111-1-11111-1-1
χ611111111111-111-1-1-1-111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111-111-1-1-1-111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-111111-1-1-1111-1-1-11
χ811111111111-111-1-1-1-111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1111-1
χ922222−1+52−1−5222−1+52−1−52222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5200002−1+52−1+52−1−52−1−52−1+52−1−5200000000
χ1022222−1+52−1−5222−1+52−1−52222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+520000-21−521−521+521+521−521+5200000000
χ1122222−1+52−1−5222−1+52−1−52-2221−521−521+521+5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-221−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−520000-21−521−521+521+52−1+52−1−5200000000
χ1222222−1+52−1−5222−1+52−1−52-2221−521−521+521+5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-221−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+5200002−1+52−1+52−1−52−1−521−521+5200000000
χ1322222−1−52−1+5222−1−52−1+52222−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+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+5222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+5200002−1−52−1−52−1+52−1+52−1−52−1+5200000000
χ1422222−1−52−1+5222−1−52−1+52222−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+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+5222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52-2-2-21+521+521−521−520000-21+521+521−521−521+521−5200000000
χ1522222−1−52−1+5222−1−52−1+52-2221+521+521−521−5222−1−52−1−52−1−52−1−52−1+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+52-2-2-2-221+521+521+521+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+52222−1−52−1−52−1+52−1+520000-21+521+521−521−52−1−52−1+5200000000
χ1622222−1−52−1+5222−1−52−1+52-2221+521+521−521−5222−1−52−1−52−1−52−1−52−1+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+52-2-2-2-221+521+521+521+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+52-2-2-21+521+521−521−5200002−1−52−1−52−1+52−1+521+521−5200000000
χ172222-22222220220000-2-222222222-2-2222222220000-20000000000000000-2-2-2-2-2-2-2-222-22222000000000-2-200000000
χ182222-22222220220000-2-222222222-2-2222222220000-20000000000000000-2-2-2-2-2-2-2-2-2-22-2-2-2-20000000002200000000
χ192222-2−1+52−1−5222−1+52−1−52022ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+5222-2−1+52−1+52−1−52−1−5200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200000000
χ202222-2−1+52−1−5222−1+52−1−52022ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+52-2-221−521−521+521+5200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−5200000000
χ212222-2−1+52−1−5222−1+52−1−52022−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+5222-2−1+52−1+52−1−52−1−5200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200000000
χ222222-2−1+52−1−5222−1+52−1−52022−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52-2-221−521−521+521+5200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−5200000000
χ232222-2−1−52−1+5222−1−52−1+52022−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−5222-2−1−52−1−52−1+52−1+5200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200000000
χ242222-2−1−52−1+5222−1−52−1+52022−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−52-2-221+521+521−521−5200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+5200000000
χ252222-2−1−52−1+5222−1−52−1+52022ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−5222-2−1−52−1−52−1+52−1+5200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200000000
χ262222-2−1−52−1+5222−1−52−1+52022ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52-2-221+521+521−521−5200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+5200000000
χ27222-12222-1222-1-122222-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000002200000000200-1-10-1
χ28222-12222-1222-1-122222-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000-2-200000000-2001101
χ29222-12222-122-2-1-1-2-2-2-22-12-1-1-12-1-1-1222-1-1-12-1-1-1-2111-1-2111-2111-2111-21112-1-1-12-1-1-10000000002200000000-200-1-101
χ30222-12222-122-2-1-1-2-2-2-22-12-1-1-12-1-1-1222-1-1-12-1-1-1-2111-1-2111-2111-2111-21112-1-1-12-1-1-1000000000-2-200000000200110-1
χ3122-12222-12222-1-12222-12-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000002200000000020-1-100-10
χ3222-12222-12222-1-12222-12-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000-2-2000000000-20110010
χ3322-12222-1222-2-1-1-2-2-2-2-12-12-1-1-12-1-122-12-1-1-12-1-11-211-11-2111-2111-2111-211-12-1-1-12-1-1000000022000000000-20-1-10010
χ3422-12222-1222-2-1-1-2-2-2-2-12-12-1-1-12-1-122-12-1-1-12-1-11-211-11-2111-2111-2111-211-12-1-1-12-1-10000000-2-2000000000201100-10
χ352-222022-2-2-2-202-20000002222222200-2-2-2-2-2-2-2-2000000000000000000000000000002-202-22-22−22−20000000002−22−200
χ362-222022-2-2-2-202-20000002222222200-2-2-2-2-2-2-2-2000000000000000000000000000002-202-22-2−22−22000000000−22−2200
χ372-222022-2-2-2-202-20000002222222200-2-2-2-2-2-2-2-200000000000000000000000000000-220-22-222−2−220000000002−2−2200
χ382-222022-2-2-2-202-20000002222222200-2-2-2-2-2-2-2-200000000000000000000000000000-220-22-22−222−2000000000−222−200
χ39444-24−1+5−1−54-2−1+5−1−54-2-2−1+5−1+5−1−5−1−54-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+524-2-2-2-2−1+51−521−521−52−1+51−521−521−52−1−51+521+521+52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+5200000000000000000000000000
χ40444-24−1+5−1−54-2−1+5−1−5-4-2-21−51−51+51+54-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52-4222-21−5−1+52−1+52−1+521−5−1+52−1+52−1+521+5−1−52−1−52−1−521+5−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+5200000000000000000000000000
χ41444-24−1−5−1+54-2−1−5−1+54-2-2−1−5−1−5−1+5−1+54-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−524-2-2-2-2−1−51+521+521+52−1−51+521+521+52−1+51−521−521−52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−5200000000000000000000000000
χ42444-24−1−5−1+54-2−1−5−1+5-4-2-21+51+51−51−54-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52-4222-21+5−1−52−1−52−1−521+5−1−52−1−52−1−521−5−1+52−1+52−1+521−5−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−5200000000000000000000000000
χ43444-2-4444-2440-2-20000-424-2-2-24-2-2-2-4-44-2-2-24-2-2-2000020000000000000000-4222-422200000000000000000000000000
χ44444-2-4−1+5−1−54-2−1+5−1−50-2-22ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-42−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+52000022ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ362ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ361−5−1+52−1+52−1+521+5−1−52−1−52−1−5200000000000000000000000000
χ45444-2-4−1+5−1−54-2−1+5−1−50-2-2−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-42−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+5200002−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ282ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ282ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ361−5−1+52−1+52−1+521+5−1−52−1−52−1−5200000000000000000000000000
χ46444-2-4−1−5−1+54-2−1−5−1+50-2-2−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-42−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−5200002−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ362ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ282ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ281+5−1−52−1−52−1−521−5−1+52−1+52−1+5200000000000000000000000000
χ47444-2-4−1−5−1+54-2−1−5−1+50-2-22ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-42−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−52000022ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ362ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ281+5−1−52−1−52−1−521−5−1+52−1+52−1+5200000000000000000000000000
χ4844-244−1+5−1−5-24−1+5−1−54-2-2−1+5−1+5−1−5−1−5-241−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+52-24-2-2-21−52−1+51−521−521−52−1+51−521−521+52−1−51+521+521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+5200000000000000000000000000
χ4944-244−1+5−1−5-24−1+5−1−5-4-2-21−51−51+51+5-241−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+522-422-2−1+521−5−1+52−1+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−1−521+5−1−52−1−521−52−1+51−521−521+52−1−51+521+5200000000000000000000000000
χ5044-244−1−5−1+5-24−1−5−1+54-2-2−1−5−1−5−1+5−1+5-241+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−52-24-2-2-21+52−1−51+521+521+52−1−51+521+521−52−1+51−521−521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−5200000000000000000000000000
χ5144-244−1−5−1+5-24−1−5−1+5-4-2-21+51+51−51−5-241+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−522-422-2−1−521+5−1−52−1−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−1+521−5−1+52−1+521+52−1−51+521+521−52−1+51−521−5200000000000000000000000000
χ5244-24-444-24440-2-200002-4-24-2-2-24-2-2-4-4-24-2-2-24-2-20000200000000000000002-4222-42200000000000000000000000000
χ5344-24-4−1+5−1−5-24−1+5−1−50-2-22ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362-41−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+5200002−ζ12+ζ282ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ362ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−1+521−5−1+52−1+52−1−521+5−1−52−1−5200000000000000000000000000
χ5444-24-4−1+5−1−5-24−1+5−1−50-2-2−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362-41−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+5200002ζ12−ζ28−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ282ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ362ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36−1+521−5−1+52−1+52−1−521+5−1−52−1−5200000000000000000000000000
χ5544-24-4−1−5−1+5-24−1−5−1+50-2-2−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282-41+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−5200002ζ4−ζ36−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ362ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ282ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−1−521+5−1−52−1−52−1+521−5−1+52−1+5200000000000000000000000000
χ5644-24-4−1−5−1+5-24−1−5−1+50-2-22ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282-41+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−5200002−ζ4+ζ362ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−2ζ4+2ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ282ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−2ζ12+2ζ28ζ12−ζ28ζ12−ζ28−1−521+5−1−52−1−52−1+521−5−1+52−1+5200000000000000000000000000
χ5744-2-2444-2-2444114444-2-2-2-211-2-21144-2-211-2-211-2-2111-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000000000
χ5844-2-2444-2-244-411-4-4-4-4-2-2-2-211-2-21144-2-211-2-21122-1-1122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000000000
χ5944-2-24−1+5−1−5-2-2−1+5−1−5411−1+5−1+5−1−5−1−5-2-21−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36−1+5−1−51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36-2-21111−521−52ζ12−2ζ28−2ζ12+ζ281−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ4+ζ36ζ4−2ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3600000000000000000000000000
χ6044-2-24−1+5−1−5-2-2−1+5−1−5411−1+5−1+5−1−5−1−5-2-21−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36−1+5−1−51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36-2-21111−521−52−2ζ12+ζ28ζ12−2ζ281−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361+521+52ζ4−2ζ36−2ζ4+ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ3600000000000000000000000000
χ6144-2-24−1+5−1−5-2-2−1+5−1−5-4111−51−51+51+5-2-21−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36−1+5−1−51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3622-1-11−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ4−ζ36−ζ4+2ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3600000000000000000000000000
χ6244-2-24−1+5−1−5-2-2−1+5−1−5-4111−51−51+51+5-2-21−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36−1+5−1−51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ3622-1-11−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ4+2ζ362ζ4−ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ3600000000000000000000000000
χ6344-2-24−1−5−1+5-2-2−1−5−1+5411−1−5−1−5−1+5−1+5-2-21+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28−1−5−1+51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28-2-21111+521+52−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281−521−52−2ζ12+ζ28ζ12−2ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ2800000000000000000000000000
χ6444-2-24−1−5−1+5-2-2−1−5−1+5411−1−5−1−5−1+5−1+5-2-21+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28−1−5−1+51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28-2-21111+521+52ζ4−2ζ36−2ζ4+ζ361+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ281−521−52ζ12−2ζ28−2ζ12+ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ2800000000000000000000000000
χ6544-2-24−1−5−1+5-2-2−1−5−1+5-4111+51+51−51−5-2-21+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28−1−5−1+51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ2822-1-11−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1+52−1+522ζ12−ζ28−ζ12+2ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ2800000000000000000000000000
χ6644-2-24−1−5−1+5-2-2−1−5−1+5-4111+51+51−51−5-2-21+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28−1−5−1+51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ2822-1-11−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1+52−1+52−ζ12+2ζ282ζ12−ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ2800000000000000000000000000
χ6744-2-2-444-2-244011000022-2-211-2-211-4-4-2-211-2-211003-3-1003-300-33003-300-3322-1-122-1-100000000000000000000000000
χ6844-2-2-444-2-244011000022-2-211-2-211-4-4-2-211-2-21100-33-100-33003-300-33003-322-1-122-1-100000000000000000000000000
χ6944-2-2-4−1+5−1−5-2-2−1+5−1−50112ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36221−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−51+51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36003-3-1−ζ12+ζ28−ζ12+ζ28−ζ12−2ζ282ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12+2ζ28−2ζ12−ζ28ζ4−ζ36ζ4−ζ36−2ζ4−ζ36ζ4+2ζ36−ζ4+ζ36−ζ4+ζ362ζ4+ζ36−ζ4−2ζ36−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1−52−1−522ζ4−ζ36−ζ4+2ζ3600000000000000000000000000
χ7044-2-2-4−1+5−1−5-2-2−1+5−1−50112ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36221−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−51+51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ3600-33-1−ζ12+ζ28−ζ12+ζ282ζ12+ζ28−ζ12−2ζ28ζ12−ζ28ζ12−ζ28−2ζ12−ζ28ζ12+2ζ28ζ4−ζ36ζ4−ζ36ζ4+2ζ36−2ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4−2ζ362ζ4+ζ36−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1−52−1−52−ζ4+2ζ362ζ4−ζ3600000000000000000000000000
χ7144-2-2-4−1+5−1−5-2-2−1+5−1−5011−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36221−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−51+51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3600-33-1ζ12−ζ28ζ12−ζ28ζ12+2ζ28−2ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12−2ζ282ζ12+ζ28−ζ4+ζ36−ζ4+ζ362ζ4+ζ36−ζ4−2ζ36ζ4−ζ36ζ4−ζ36−2ζ4−ζ36ζ4+2ζ36−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1−52−1−522ζ4−ζ36−ζ4+2ζ3600000000000000000000000000
χ7244-2-2-4−1+5−1−5-2-2−1+5−1−5011−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36221−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−51+51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36003-3-1ζ12−ζ28ζ12−ζ28−2ζ12−ζ28ζ12+2ζ28−ζ12+ζ28−ζ12+ζ282ζ12+ζ28−ζ12−2ζ28−ζ4+ζ36−ζ4+ζ36−ζ4−2ζ362ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4+2ζ36−2ζ4−ζ36−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1−52−1−52−ζ4+2ζ362ζ4−ζ3600000000000000000000000000
χ7344-2-2-4−1−5−1+5-2-2−1−5−1+5011−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28221+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+51−51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28003-3-1ζ4−ζ36ζ4−ζ36−2ζ4−ζ36ζ4+2ζ36−ζ4+ζ36−ζ4+ζ362ζ4+ζ36−ζ4−2ζ36ζ12−ζ28ζ12−ζ28−2ζ12−ζ28ζ12+2ζ28−ζ12+ζ28−ζ12+ζ282ζ12+ζ28−ζ12−2ζ28−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1+52−1+522ζ12−ζ28−ζ12+2ζ2800000000000000000000000000
χ7444-2-2-4−1−5−1+5-2-2−1−5−1+5011−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28221+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+51−51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ2800-33-1ζ4−ζ36ζ4−ζ36ζ4+2ζ36−2ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4−2ζ362ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12+2ζ28−2ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12−2ζ282ζ12+ζ28−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1+52−1+52−ζ12+2ζ282ζ12−ζ2800000000000000000000000000
χ7544-2-2-4−1−5−1+5-2-2−1−5−1+50112ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28221+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+51−51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ2800-33-1−ζ4+ζ36−ζ4+ζ362ζ4+ζ36−ζ4−2ζ36ζ4−ζ36ζ4−ζ36−2ζ4−ζ36ζ4+2ζ36−ζ12+ζ28−ζ12+ζ282ζ12+ζ28−ζ12−2ζ28ζ12−ζ28ζ12−ζ28−2ζ12−ζ28ζ12+2ζ28−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1+52−1+522ζ12−ζ28−ζ12+2ζ2800000000000000000000000000
χ7644-2-2-4−1−5−1+5-2-2−1−5−1+50112ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28221+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+51−51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28003-3-1−ζ4+ζ36−ζ4+ζ36−ζ4−2ζ362ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4+2ζ36−2ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12−2ζ282ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12+2ζ28−2ζ12−ζ28−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1+52−1+52−ζ12+2ζ282ζ12−ζ2800000000000000000000000000
χ774-4440−1+5−1−5-4-41−51+504-4000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+5000000000000000000000000000004-40−1+51−5−1−51+50000000000000000000
χ784-4440−1+5−1−5-4-41−51+504-4000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+500000000000000000000000000000-4401−5−1+51+5−1−50000000000000000000
χ794-4440−1−5−1+5-4-41+51−504-4000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−5000000000000000000000000000004-40−1−51+5−1+51−50000000000000000000
χ804-4440−1−5−1+5-4-41+51−504-4000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−500000000000000000000000000000-4401+5−1−51−5−1+50000000000000000000
χ814-44-2044-42-4-40-220000004-2-2-24-2-2-200-4222-42220000000000000000000000000000000000000022−2200000000000−2200
χ824-44-2044-42-4-40-220000004-2-2-24-2-2-200-4222-422200000000000000000000000000000000000000−2222000000000002−200
χ834-4-240442-4-4-40-22000000-24-2-2-24-2-2002-4222-42200000000000000000000000000000000000022−2200000000000−220000
χ844-4-240442-4-4-40-22000000-24-2-2-24-2-2002-4222-422000000000000000000000000000000000000−2222000000000002−20000
χ858-88-40−2+25−2−25-842−252+250-44000000−2+251−51−51−5−2−251+51+51+5002−25−1+5−1+5−1+52+25−1−5−1−5−1−50000000000000000000000000000000000000000000000000000000
χ868-88-40−2−25−2+25-842+252−250-44000000−2−251+51+51+5−2+251−51−51−5002+25−1−5−1−5−1−52−25−1+5−1+5−1+50000000000000000000000000000000000000000000000000000000
χ878-8-480−2+25−2−254-82−252+250-440000001−5−2+251−51−51+5−2−251+51+500−1+52−25−1+5−1+5−1−52+25−1−5−1−50000000000000000000000000000000000000000000000000000000
χ888-8-480−2−25−2+254-82+252−250-440000001+5−2−251+51+51−5−2+251−51−500−1−52+25−1−5−1−5−1+52−25−1+5−1+50000000000000000000000000000000000000000000000000000000
χ898-8-4-408844-8-802-2000000-4-422-4-4220044-2-244-2-20000000000000000000000000000000000000000000000000000000
χ908-8-4-40−2+25−2−25442−252+2502-20000001−51−52ζ12−4ζ28−4ζ12+2ζ281+51+5−4ζ4+2ζ362ζ4−4ζ3600−1+5−1+5−2ζ12+4ζ284ζ12−2ζ28−1−5−1−54ζ4−2ζ36−2ζ4+4ζ360000000000000000000000000000000000000000000000000000000
χ918-8-4-40−2+25−2−25442−252+2502-20000001−51−5−4ζ12+2ζ282ζ12−4ζ281+51+52ζ4−4ζ36−4ζ4+2ζ3600−1+5−1+54ζ12−2ζ28−2ζ12+4ζ28−1−5−1−5−2ζ4+4ζ364ζ4−2ζ360000000000000000000000000000000000000000000000000000000
χ928-8-4-40−2−25−2+25442+252−2502-20000001+51+5−4ζ4+2ζ362ζ4−4ζ361−51−5−4ζ12+2ζ282ζ12−4ζ2800−1−5−1−54ζ4−2ζ36−2ζ4+4ζ36−1+5−1+54ζ12−2ζ28−2ζ12+4ζ280000000000000000000000000000000000000000000000000000000
χ938-8-4-40−2−25−2+25442+252−2502-20000001+51+52ζ4−4ζ36−4ζ4+2ζ361−51−52ζ12−4ζ28−4ζ12+2ζ2800−1−5−1−5−2ζ4+4ζ364ζ4−2ζ36−1+5−1+5−2ζ12+4ζ284ζ12−2ζ280000000000000000000000000000000000000000000000000000000

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