Finite Group Databasebeta

← Group #13086360

Character table — Group #13086360

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222224444444444444444444444444448888888888888888888888888888889918181818183636363636363690909090180180
order124551010233661010101015151515151515152020303030303030303066661212303030303030303030303030303030306060606060606060224101010102101010102020888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−i
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii
χ51111111-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1111111-1-1
χ61111111-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-111
χ71111111-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1ii−i−i−ii
χ81111111-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1−i−iiii−i
χ9222−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000000
χ10222−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+52-21−521−521+521+521−521+52000000
χ11222−1+52−1−52−1+52−1−52-222221−521−521+521+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+52−1−52−1−52−1−52−1−52-2-2-2-2221−521−521−521−521−521−521−521−521+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+52−1−52−1−52-21−521−521+521+52−1+52−1−52000000
χ12222−1+52−1−52−1+52−1−52-222221−521−521+521+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+52−1−52−1−52−1−52−1−52-2-2-2-2221−521−521−521−521−521−521−521−521+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+522−1+52−1+52−1−52−1−521−521+52000000
χ13222−1−52−1+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+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+52222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000000
χ14222−1−52−1+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+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+52-2-2-21+521+521−521−52-21+521+521−521−521+521−52000000
χ15222−1−52−1+52−1−52−1+52-222221+521+521−521−52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-2221+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+52-21+521+521−521−52−1−52−1+52000000
χ16222−1−52−1+52−1−52−1+52-222221+521+521−521−52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-2221+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+521−521−522−1−52−1−52−1+52−1+521+521−52000000
χ1722-2222202222000022222222-2-2222222220000-2-20000000000000000-2-2-2-2-2-2-2-222-2222200000-2-2000000
χ1822-2222202222000022222222-2-2222222220000-2-20000000000000000-2-2-2-2-2-2-2-2-2-22-2-2-2-20000022000000
χ1922-2−1+52−1−52−1+52−1−5202222ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2ζ12−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+52−1−52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52000000
χ2022-2−1+52−1−52−1+52−1−5202222ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2ζ12−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+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52000000
χ2122-2−1+52−1−52−1+52−1−5202222−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2−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+52−1−52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52000000
χ2222-2−1+52−1−52−1+52−1−5202222−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2−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+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52000000
χ2322-2−1−52−1+52−1−52−1+5202222−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2−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+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52000000
χ2422-2−1−52−1+52−1−52−1+5202222−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2−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+521−521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52000000
χ2522-2−1−52−1+52−1−52−1+5202222ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2ζ4−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+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52000000
χ2622-2−1−52−1+52−1−52−1+5202222ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2ζ4−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+521−521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52000000
χ272-2022-2-2022-2-200002222222200-2-2-2-2-2-2-2-20000000000000000000000000000002-202-22-20000000i2−i2i2−i200
χ282-2022-2-2022-2-200002222222200-2-2-2-2-2-2-2-20000000000000000000000000000002-202-22-20000000−i2i2−i2i200
χ292-2022-2-2022-2-200002222222200-2-2-2-2-2-2-2-2000000000000000000000000000000-220-22-2200000002−2−2200
χ302-2022-2-2022-2-200002222222200-2-2-2-2-2-2-2-2000000000000000000000000000000-220-22-220000000−222−200
χ31444444441-21-2444411-2-211-2-24411-2-211-2-211-2-21-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ3244444444-21-214444-2-211-2-21144-2-211-2-211-2-211-21-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ334444444-41-21-2-4-4-4-411-2-211-2-24411-2-211-2-2-1-1221-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ344444444-4-21-21-4-4-4-4-2-211-2-21144-2-211-2-21122-1-1-2122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ35444−1+5−1−5−1+5−1−541-21-2−1+5−1+5−1−5−1−5ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+52−1+5−1−5ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+5211-2-21-2ζ12−2ζ28−2ζ12+ζ281−521−52ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ4+ζ36ζ4−2ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+5200000000000000000000
χ36444−1+5−1−5−1+5−1−541-21-2−1+5−1+5−1−5−1−5−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+52−1+5−1−5−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+5211-2-21-2−2ζ12+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+ζ361+521+5200000000000000000000
χ37444−1+5−1−5−1+5−1−54-21-21−1+5−1+5−1−5−1−51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36−1+5−1−51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36-2-211-211−521−52ζ12−2ζ28−2ζ12+ζ281−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ4+ζ36ζ4−2ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3600000000000000000000
χ38444−1+5−1−5−1+5−1−54-21-21−1+5−1+5−1−5−1−51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36−1+5−1−51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36-2-211-211−521−52−2ζ12+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+ζ3600000000000000000000
χ39444−1+5−1−5−1+5−1−5-41-21-21−51−51+51+5ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+52−1+5−1−5ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+52-1-1221-2−ζ12+2ζ282ζ12−ζ28−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1+52−1+522ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1−52−1−52ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+5200000000000000000000
χ40444−1+5−1−5−1+5−1−5-41-21-21−51−51+51+5−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+52−1+5−1−5−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+52-1-1221-22ζ12−ζ28−ζ12+2ζ28−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1+52−1+52−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1−52−1−52−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+5200000000000000000000
χ41444−1+5−1−5−1+5−1−5-4-21-211−51−51+51+51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36−1+5−1−51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3622-1-1-21−1+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+ζ36ζ4−2ζ3600000000000000000000
χ42444−1+5−1−5−1+5−1−5-4-21-211−51−51+51+51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36−1+5−1−51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ3622-1-1-21−1+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+ζ3600000000000000000000
χ43444−1−5−1+5−1−5−1+541-21-2−1−5−1−5−1+5−1+5−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−52−1−5−1+5−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−5211-2-21-2−2ζ4+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+ζ28ζ12−2ζ281−521−5200000000000000000000
χ44444−1−5−1+5−1−5−1+541-21-2−1−5−1−5−1+5−1+5ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−52−1−5−1+5ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−5211-2-21-2ζ4−2ζ36−2ζ4+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+ζ281−521−5200000000000000000000
χ45444−1−5−1+5−1−5−1+54-21-21−1−5−1−5−1+5−1+51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28−1−5−1+51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28-2-211-211+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+ζ28ζ12−2ζ2800000000000000000000
χ46444−1−5−1+5−1−5−1+54-21-21−1−5−1−5−1+5−1+51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28−1−5−1+51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28-2-211-211+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+ζ2800000000000000000000
χ47444−1−5−1+5−1−5−1+5-41-21-21+51+51−51−5−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−52−1−5−1+5−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−52-1-1221-22ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ12−ζ28−ζ12+2ζ28−1+52−1+522ζ12−ζ28−ζ12+2ζ28−1+52−1+52−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−5200000000000000000000
χ48444−1−5−1+5−1−5−1+5-41-21-21+51+51−51−5ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−52−1−5−1+5ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−52-1-1221-2−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ12+2ζ282ζ12−ζ28−1+52−1+52−ζ12+2ζ282ζ12−ζ28−1+52−1+52ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−5200000000000000000000
χ49444−1−5−1+5−1−5−1+5-4-21-211+51+51−51−51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28−1−5−1+51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ2822-1-1-21−1−52−1−522ζ4−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+ζ28ζ12−2ζ2800000000000000000000
χ50444−1−5−1+5−1−5−1+5-4-21-211+51+51−51−51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28−1−5−1+51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ2822-1-1-21−1−52−1−52−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+ζ2800000000000000000000
χ5144-4444401-21-2000011-2-211-2-2-4-411-2-211-2-23-300-123-300-33003-300-3300-1-122-1-12200000000000000000000
χ5244-4444401-21-2000011-2-211-2-2-4-411-2-211-2-2-3300-12-33003-300-33003-300-1-122-1-12200000000000000000000
χ5344-444440-21-210000-2-211-2-211-4-4-2-211-2-211003-32-1003-300-33003-300-3322-1-122-1-100000000000000000000
χ5444-444440-21-210000-2-211-2-211-4-4-2-211-2-21100-332-100-33003-300-33003-322-1-122-1-100000000000000000000
χ5544-4−1+5−1−5−1+5−1−501-21-22ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+521−51+5ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+523-300-12−ζ12−2ζ282ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12+2ζ28−2ζ12−ζ28ζ12−ζ28ζ12−ζ28−2ζ4−ζ36ζ4+2ζ36ζ4−ζ36ζ4−ζ362ζ4+ζ36−ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+2ζ282ζ12−ζ28−1+52−1+522ζ4−ζ36−ζ4+2ζ36−1−52−1−5200000000000000000000
χ5644-4−1+5−1−5−1+5−1−501-21-22ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+521−51+5−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+52-3300-122ζ12+ζ28−ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−2ζ12−ζ28ζ12+2ζ28ζ12−ζ28ζ12−ζ28ζ4+2ζ36−2ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4−2ζ362ζ4+ζ36−ζ4+ζ36−ζ4+ζ362ζ12−ζ28−ζ12+2ζ28−1+52−1+52−ζ4+2ζ362ζ4−ζ36−1−52−1−5200000000000000000000
χ5744-4−1+5−1−5−1+5−1−501-21-2−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+521−51+5ζ12−2ζ28−2ζ12+ζ281−521−52−2ζ4+ζ36ζ4−2ζ361+521+52-3300-12ζ12+2ζ28−2ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12−2ζ282ζ12+ζ28−ζ12+ζ28−ζ12+ζ282ζ4+ζ36−ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−2ζ4−ζ36ζ4+2ζ36ζ4−ζ36ζ4−ζ36−ζ12+2ζ282ζ12−ζ28−1+52−1+522ζ4−ζ36−ζ4+2ζ36−1−52−1−5200000000000000000000
χ5844-4−1+5−1−5−1+5−1−501-21-2−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+521−51+5−2ζ12+ζ28ζ12−2ζ281−521−52ζ4−2ζ36−2ζ4+ζ361+521+523-300-12−2ζ12−ζ28ζ12+2ζ28ζ12−ζ28ζ12−ζ282ζ12+ζ28−ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−ζ4−2ζ362ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4+2ζ36−2ζ4−ζ36ζ4−ζ36ζ4−ζ362ζ12−ζ28−ζ12+2ζ28−1+52−1+52−ζ4+2ζ362ζ4−ζ36−1−52−1−5200000000000000000000
χ5944-4−1+5−1−5−1+5−1−50-21-212ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−51+51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ36003-32-1−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+2ζ3600000000000000000000
χ6044-4−1+5−1−5−1+5−1−50-21-212ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−51+51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ3600-332-1−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−ζ3600000000000000000000
χ6144-4−1+5−1−5−1+5−1−50-21-21−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−51+51−521−52ζ12−2ζ28−2ζ12+ζ281+521+52−2ζ4+ζ36ζ4−2ζ3600-332-1ζ12−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+2ζ3600000000000000000000
χ6244-4−1+5−1−5−1+5−1−50-21-21−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−51+51−521−52−2ζ12+ζ28ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ36003-32-1ζ12−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−ζ3600000000000000000000
χ6344-4−1−5−1+5−1−5−1+501-21-2−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−521+51−5−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−523-300-12−2ζ4−ζ36ζ4+2ζ36ζ4−ζ36ζ4−ζ362ζ4+ζ36−ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−2ζ12−ζ28ζ12+2ζ28ζ12−ζ28ζ12−ζ282ζ12+ζ28−ζ12−2ζ28−ζ12+ζ28−ζ12+ζ282ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ12−ζ28−ζ12+2ζ28−1+52−1+5200000000000000000000
χ6444-4−1−5−1+5−1−5−1+501-21-2−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−521+51−5ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−52-3300-12ζ4+2ζ36−2ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4−2ζ362ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12+2ζ28−2ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12−2ζ282ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ12+2ζ282ζ12−ζ28−1+52−1+5200000000000000000000
χ6544-4−1−5−1+5−1−5−1+501-21-22ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−521+51−5−2ζ4+ζ36ζ4−2ζ361+521+52−2ζ12+ζ28ζ12−2ζ281−521−52-3300-122ζ4+ζ36−ζ4−2ζ36−ζ4+ζ36−ζ4+ζ36−2ζ4−ζ36ζ4+2ζ36ζ4−ζ36ζ4−ζ362ζ12+ζ28−ζ12−2ζ28−ζ12+ζ28−ζ12+ζ28−2ζ12−ζ28ζ12+2ζ28ζ12−ζ28ζ12−ζ282ζ4−ζ36−ζ4+2ζ36−1−52−1−522ζ12−ζ28−ζ12+2ζ28−1+52−1+5200000000000000000000
χ6644-4−1−5−1+5−1−5−1+501-21-22ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−521+51−5ζ4−2ζ36−2ζ4+ζ361+521+52ζ12−2ζ28−2ζ12+ζ281−521−523-300-12−ζ4−2ζ362ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4+2ζ36−2ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12−2ζ282ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12+2ζ28−2ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ4+2ζ362ζ4−ζ36−1−52−1−52−ζ12+2ζ282ζ12−ζ28−1+52−1+5200000000000000000000
χ6744-4−1−5−1+5−1−5−1+50-21-21−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+51−51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ28003-32-1ζ4−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+2ζ2800000000000000000000
χ6844-4−1−5−1+5−1−5−1+50-21-21−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+51−51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ2800-332-1ζ4−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−ζ2800000000000000000000
χ6944-4−1−5−1+5−1−5−1+50-21-212ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ281+51−51+521+52−2ζ4+ζ36ζ4−2ζ361−521−52−2ζ12+ζ28ζ12−2ζ2800-332-1−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+2ζ2800000000000000000000
χ7044-4−1−5−1+5−1−5−1+50-21-212ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ281+51−51+521+52ζ4−2ζ36−2ζ4+ζ361−521−52ζ12−2ζ28−2ζ12+ζ28003-32-1−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−ζ2800000000000000000000
χ714-40−1+5−1−51−51+5044-4-40000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+50000000000000000000000000000004-40−1+51−5−1−51+50000000000000
χ724-40−1+5−1−51−51+5044-4-40000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+5000000000000000000000000000000-4401−5−1+51+5−1−50000000000000
χ734-40−1−5−1+51+51−5044-4-40000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−50000000000000000000000000000004-40−1−51+5−1+51−50000000000000
χ744-40−1−5−1+51+51−5044-4-40000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−5000000000000000000000000000000-4401+5−1−51−5−1+50000000000000
χ758-8088-8-802-4-24000022-4-422-4-400-2-244-2-24400000000000000000000000000000000000000000000000000
χ768-8088-8-80-424-20000-4-422-4-4220044-2-244-2-200000000000000000000000000000000000000000000000000
χ778-80−2+25−2−252−252+2502-4-2400002ζ12−4ζ28−4ζ12+2ζ281−51−5−4ζ4+2ζ362ζ4−4ζ361+51+500−2ζ12+4ζ284ζ12−2ζ28−1+5−1+54ζ4−2ζ36−2ζ4+4ζ36−1−5−1−500000000000000000000000000000000000000000000000000
χ788-80−2+25−2−252−252+2502-4-240000−4ζ12+2ζ282ζ12−4ζ281−51−52ζ4−4ζ36−4ζ4+2ζ361+51+5004ζ12−2ζ28−2ζ12+4ζ28−1+5−1+5−2ζ4+4ζ364ζ4−2ζ36−1−5−1−500000000000000000000000000000000000000000000000000
χ798-80−2+25−2−252−252+250-424-200001−51−52ζ12−4ζ28−4ζ12+2ζ281+51+5−4ζ4+2ζ362ζ4−4ζ3600−1+5−1+5−2ζ12+4ζ284ζ12−2ζ28−1−5−1−54ζ4−2ζ36−2ζ4+4ζ3600000000000000000000000000000000000000000000000000
χ808-80−2+25−2−252−252+250-424-200001−51−5−4ζ12+2ζ282ζ12−4ζ281+51+52ζ4−4ζ36−4ζ4+2ζ3600−1+5−1+54ζ12−2ζ28−2ζ12+4ζ28−1−5−1−5−2ζ4+4ζ364ζ4−2ζ3600000000000000000000000000000000000000000000000000
χ818-80−2−25−2+252+252−2502-4-240000−4ζ4+2ζ362ζ4−4ζ361+51+5−4ζ12+2ζ282ζ12−4ζ281−51−5004ζ4−2ζ36−2ζ4+4ζ36−1−5−1−54ζ12−2ζ28−2ζ12+4ζ28−1+5−1+500000000000000000000000000000000000000000000000000
χ828-80−2−25−2+252+252−2502-4-2400002ζ4−4ζ36−4ζ4+2ζ361+51+52ζ12−4ζ28−4ζ12+2ζ281−51−500−2ζ4+4ζ364ζ4−2ζ36−1−5−1−5−2ζ12+4ζ284ζ12−2ζ28−1+5−1+500000000000000000000000000000000000000000000000000
χ838-80−2−25−2+252+252−250-424-200001+51+5−4ζ4+2ζ362ζ4−4ζ361−51−5−4ζ12+2ζ282ζ12−4ζ2800−1−5−1−54ζ4−2ζ36−2ζ4+4ζ36−1+5−1+54ζ12−2ζ28−2ζ12+4ζ2800000000000000000000000000000000000000000000000000
χ848-80−2−25−2+252+252−250-424-200001+51+52ζ4−4ζ36−4ζ4+2ζ361−51−52ζ12−4ζ28−4ζ12+2ζ2800−1−5−1−5−2ζ4+4ζ364ζ4−2ζ36−1+5−1+5−2ζ12+4ζ284ζ12−2ζ2800000000000000000000000000000000000000000000000000

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