Finite Group Databasebeta

← Group #12012718

Character table — Group #12012718

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11222222244444444444444444444888888888888888888888888888816161616161616161616161616161616161616164040404080808080160
order12244551010448888101020202020404040404040404022441010101010101010202020202020202020202020404040402488101010102020202040404040404040408888161616164
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1
χ4111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1
χ611111111111111111111111111111-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ922222222222-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000000000002222-2-2-2-22-2002222-2-2-2-200000000000000000
χ1022222222222-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000000000002222-2-2-2-2-2200-2-2-2-2222200000000000000000
χ11222222222-2-22-22-22222222222-2-2-2-202020000222200002222-2-2-2-222-2-2000-2000000000000-2-2-2-2000000000
χ12222222222-2-22-22-22222222222-2-2-2-20-20-20000-2-2-2-20000-2-2-2-2-2-2-2-222-2-200020000000000002222000000000
χ13222222222-2-2-22-22222222-2-2-2-2222220202222000022220000-2-2-2-2-2-22200-2000000000-2-2-2-20000000000000
χ14222222222-2-2-22-22222222-2-2-2-22222-20-20-2-2-2-20000-2-2-2-20000-2-2-2-2-2-22200200000000022220000000000000
χ1522222−1+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+52−1−52−1−522222−1+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+52−1−522222−1+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+52−1−52−1−52000000000
χ1622222−1+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+52−1−52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000
χ1722222−1+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+52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000
χ1822222−1+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+52−1−52−1−52-2-2-2-21−521−521+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+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000
χ1922222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521+521−521+522-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ2022222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521+521−521+52-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ2122222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521+521−521+52-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ2222222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521+521−521+522-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ2322222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52000-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52000000000
χ2422222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52000-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52000000000
χ2522222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520-20-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+521−521−521+521+52−1+52−1−521−521+520002−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52000000000
χ2622222−1+52−1−52−1+52−1−52-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520-20-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+521−521−521+521+52−1+52−1−521−521+520002ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52000000000
χ2722222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522020−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+521−521+52−1+52−1−5200-20ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ2822222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522020−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+521−521+52−1+52−1−5200-20−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ2922222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-20-201−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+521−521+52−1+52−1−520020−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ3022222−1+52−1−52−1+52−1−52-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-20-201−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+521−521+52−1+52−1−520020ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ3122222−1−52−1+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+522222−1−52−1−52−1+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+522222−1−52−1−52−1+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+52000000000
χ3222222−1−52−1+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+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000
χ3322222−1−52−1+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+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+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+52-2-2-221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000
χ3422222−1−52−1+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+52-2-2-2-21+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+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000
χ3522222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521−521+521−522-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ3622222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521−521+521−52-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ3722222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521−521+521−52-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ3822222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521−521+521−522-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ3922222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520202−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52000-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52000000000
χ4022222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520202ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52000-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52000000000
χ4122222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520-20-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−521+521+521−521−52−1−52−1+521+521−520002ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52000000000
χ4222222−1−52−1+52−1−52−1+52-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520-20-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−521+521+521−521−52−1−52−1+521+521−520002−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52000000000
χ4322222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522020−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−521+521−52−1−52−1+5200-20−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ4422222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522020−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−521+521−52−1−52−1+5200-20ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ4522222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-20-201+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−521+521−52−1−52−1+520020ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ4622222−1−52−1+52−1−52−1+52-2-2-22-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-20-201+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−521+521−52−1−52−1+520020−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ4722-22-22222000-202-2-22-22-20000-2-2-2-220-2022220000-2-2-2-20000000000220000000000000000000022−2−22−2000
χ4822-22-22222000-202-2-22-22-20000-2-2-2-220-2022220000-2-2-2-200000000002200000000000000000000−2−222−22000
χ4922-22-22222000-202-2-22-22-20000-2-2-2-2-2020-2-2-2-2000022220000000000220000000000000000000022−2−2−22000
χ5022-22-22222000-202-2-22-22-20000-2-2-2-2-2020-2-2-2-20000222200000000002200000000000000000000−2−2222−2000
χ5122-2-22222200-2020-2-2-22-22-2-2-2-20000020-2000022220000-2-2-2-200002200000000000000000000002−22−2002−20
χ5222-2-22222200-2020-2-2-22-22-2-2-2-20000020-2000022220000-2-2-2-20000220000000000000000000000−22−2200−220
χ5322-2-22222200-2020-2-2-22-22-2-2-2-200000-2020000-2-2-2-20000222200002200000000000000000000002−22−200−220
χ5422-2-22222200-2020-2-2-22-22-2-2-2-200000-2020000-2-2-2-2000022220000220000000000000000000000−22−22002−20
χ55444-4-4444400000044-4-4-4-4000000000000000000000000000000000000000000000000000000002-2-2200000
χ56444-4-4444400000044-4-4-4-400000000000000000000000000000000000000000000000000000000-222-200000
χ5744-44-4444400040-4-4-44-44-40000444400000000000000000000000000-4-400000000000000000000000000000
χ5844-44-4−1+5−1−5−1+5−1−500040-41−51+5−1+51−5−1−51+50000−1+5−1+5−1−5−1−500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000001−51+500000000000000000000000000000
χ5944-44-4−1+5−1−5−1+5−1−500040-41−51+5−1+51−5−1−51+50000−1+5−1+5−1−5−1−50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000001−51+500000000000000000000000000000
χ6044-44-4−1+5−1−5−1+5−1−5000-4041−51+5−1+51−5−1−51+500001−51−51+51+540-40−1+5−1+5−1−5−1−500001−51−51+51+50000000000−1+5−1−500000000000000000000000000000
χ6144-44-4−1+5−1−5−1+5−1−5000-4041−51+5−1+51−5−1−51+500001−51−51+51+5-40401−51−51+51+50000−1+5−1+5−1−5−1−50000000000−1+5−1−500000000000000000000000000000
χ6244-44-4−1−5−1+5−1−5−1+500040-41+51−5−1−51+5−1+51−50000−1−5−1−5−1+5−1+50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000001+51−500000000000000000000000000000
χ6344-44-4−1−5−1+5−1−5−1+500040-41+51−5−1−51+5−1+51−50000−1−5−1−5−1+5−1+500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000001+51−500000000000000000000000000000
χ6444-44-4−1−5−1+5−1−5−1+5000-4041+51−5−1−51+5−1+51−500001+51+51−51−540-40−1−5−1−5−1+5−1+500001+51+51−51−50000000000−1−5−1+500000000000000000000000000000
χ6544-44-4−1−5−1+5−1−5−1+5000-4041+51−5−1−51+5−1+51−500001+51+51−51−5-40401+51+51−51−50000−1−5−1−5−1+5−1+50000000000−1−5−1+500000000000000000000000000000
χ6644-4-4444440040-40-4-4-44-4444440000000000000000000000000000-4-40000000000000000000000000000000
χ6744-4-44−1+5−1−5−1+5−1−50040-401−51+51−5−1+51+5−1−5−1+5−1+5−1−5−1−50000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600001−51+50000000000000000000000000000000
χ6844-4-44−1+5−1−5−1+5−1−50040-401−51+51−5−1+51+5−1−5−1+5−1+5−1−5−1−5000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600001−51+50000000000000000000000000000000
χ6944-4-44−1+5−1−5−1+5−1−500-40401−51+51−5−1+51+5−1−51−51−51+51+50000040-40000−1+5−1+5−1−5−1−500001−51−51+51+50000−1+5−1−50000000000000000000000000000000
χ7044-4-44−1+5−1−5−1+5−1−500-40401−51+51−5−1+51+5−1−51−51−51+51+500000-40400001−51−51+51+50000−1+5−1+5−1−5−1−50000−1+5−1−50000000000000000000000000000000
χ7144-4-44−1−5−1+5−1−5−1+50040-401+51−51+5−1−51−5−1+5−1−5−1−5−1+5−1+5000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800001+51−50000000000000000000000000000000
χ7244-4-44−1−5−1+5−1−5−1+50040-401+51−51+5−1−51−5−1+5−1−5−1−5−1+5−1+50000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800001+51−50000000000000000000000000000000
χ7344-4-44−1−5−1+5−1−5−1+500-40401+51−51+5−1−51−5−1+51+51+51−51−50000040-40000−1−5−1−5−1+5−1+500001+51+51−51−50000−1−5−1+50000000000000000000000000000000
χ7444-4-44−1−5−1+5−1−5−1+500-40401+51−51+5−1−51−5−1+51+51+51−51−500000-40400001+51+51−51−50000−1−5−1−5−1+5−1+50000−1−5−1+50000000000000000000000000000000
χ75888-8-8−2+25−2−25−2+25−2−25000000−2+25−2−252−252−252+252+2500000000000000000000000000000000000000000000000000000000000000000
χ76888-8-8−2−25−2+25−2−25−2+25000000−2−25−2+252+252+252−252−2500000000000000000000000000000000000000000000000000000000000000000
χ778-800088-8-84-4000000000000000000000000000000000000004-44-4000000000000000000000000000000000
χ788-800088-8-8-4400000000000000000000000000000000000000-44-44000000000000000000000000000000000
χ798-8000−2+25−2−252−252+254-400000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900000000000000000000−1+51−5−1−51+5000000000000000000000000000000000
χ808-8000−2+25−2−252−252+254-40000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000−1+51−5−1−51+5000000000000000000000000000000000
χ818-8000−2+25−2−252−252+25-4400000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39000000000000000000001−5−1+51+5−1−5000000000000000000000000000000000
χ828-8000−2+25−2−252−252+25-440000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39000000000000000000001−5−1+51+5−1−5000000000000000000000000000000000
χ838-8000−2−25−2+252+252−254-40000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3700000000000000000000−1−51+5−1+51−5000000000000000000000000000000000
χ848-8000−2−25−2+252+252−254-400000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000−1−51+5−1+51−5000000000000000000000000000000000
χ858-8000−2−25−2+252+252−25-440000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37000000000000000000001+5−1−51−5−1+5000000000000000000000000000000000
χ868-8000−2−25−2+252+252−25-4400000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37000000000000000000001+5−1−51−5−1+5000000000000000000000000000000000

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