Finite Group Databasebeta

← Group #12072780

Character table — Group #12072780

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444444444444888888888888888888888888888816161616161616161616161616161616161640404040404040404040404040404040
order1222222244551010101010102444101010101010101020202020202020202020202022224444101010101010101010102020202020202020202088101010102020202040404040404040402244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-11-111111-1-1-1-1
χ911111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1111-1-11-1-111-1-111-1-1
χ1011111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-111-111-1-111-1-111
χ1111111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-1-11111111-1-11-1-1-1-111-1-111
χ1211111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-1-11111-1-1-111-11111-1-111-1-1
χ1311111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111-111-1-1-1111-1-1-1-111
χ1411111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-11-1-1111-1-1-11111-1-1
χ1511111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1111111-1-1-1-11-111-1-1-11-1-11111-1-1
χ1611111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1111111-1-1-1-1-11-1-1111-111-1-1-1-111
χ172222222222−1+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+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1−52−1−5222-2-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+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+52−1−52−1−52-2-222-2-222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1−52−1+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+5222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ222222222222−1−52−1+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+5222-2-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000
χ232222222222−1−52−1+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+52-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−520000000000000000
χ242222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2522222222-2-2222222222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002200000000-2-20000000000000000000000000020-20-202000000000
χ2622222222-2-2222222222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002200000000-2-200000000000000000000000000-202020-2000000000
χ2722222-2-222222222222-22-2-22222-2-2-2-222222222-2-2-2-200000000-2-200000000-2-20000000000000000000000000020-2020-2000000000
χ2822222-2-222222222222-22-2-22222-2-2-2-222222222-2-2-2-200000000-2-200000000-2-200000000000000000000000000-2020-202000000000
χ2922222-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2222-2-2-21−521+52−1+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+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ3022222-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-2-22-2221−521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ3122222-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2222-22-2-21−521+52−1+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ3222222-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-2-2-22221−521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ3322222-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2222-2-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3422222-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-2-22-2221+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+52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ3522222-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2222-22-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ3622222-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-2-2-22221+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+52−1+52−1+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ372222-222-22222222222-2-2-22-2-2-2-2222222-2-222-2-2-2-2-2-200000000-2-2000000002200000000000000000000000000020-20-20200000000
χ382222-222-22222222222-2-2-22-2-2-2-2222222-2-222-2-2-2-2-2-200000000-2-20000000022000000000000000000000000000-202020-200000000
χ392222-222-2-2-222222222-222-2-2-2-2-22222-2-222-2-22222222200-2-200-2-200000000-2-200000000002222-2-2-2-2000000000000000000000000
χ402222-222-2-2-222222222-222-2-2-2-2-22222-2-222-2-2222222-2-2002200-2-200000000-2-20000000000-2-2-2-22222000000000000000000000000
χ412222-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−522200-2-2001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−52−1+52−1−521−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ422222-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−522200-2-2001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−52−1+52−1−521−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ432222-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20022001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+521−521+52−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ442222-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20022001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+521−521+52−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ452222-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+522200-2-2001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+52−1−52−1+521+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ462222-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+522200-2-2001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+52−1−52−1+521+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ472222-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20022001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−521+521−52−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ482222-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20022001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−521+521−52−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ492222-2-2-2-222222222222-22-2-2-2-2-2-2-2-2-222-2-222-2-222222-200-22002200000000-2-2000000000022-2-2-2-222000000000000000000000000
χ502222-2-2-2-222222222222-22-2-2-2-2-2-2-2-2-222-2-222-2-22222-22002-2002200000000-2-20000000000-2-22222-2-2000000000000000000000000
χ512222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−522-200-2200−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ522222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−522-200-2200−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ532222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52-22002-200−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ542222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52-22002-200−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ552222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+522-200-2200−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ562222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+522-200-2200−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ572222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52-22002-200−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ582222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52-22002-200−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ592222-2-2-2-2-2-22222222222-22-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2000000002200000000220000000000000000000000000002020-20-200000000
χ602222-2-2-2-2-2-22222222222-22-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-200000000220000000022000000000000000000000000000-20-2020200000000
χ6144444444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51−51+51+500000000−1+5−1−5000000001−51+5000000000000000000000000000000000000000000
χ6244444444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51−51−500000000−1−5−1+5000000001+51−5000000000000000000000000000000000000000000
χ6344444-4-4444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44-4-4−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+5000000001−51+5000000001−51+5000000000000000000000000000000000000000000
χ6444444-4-4444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44-4-4−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−5000000001+51−5000000001+51−5000000000000000000000000000000000000000000
χ654444-444-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-441−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+5000000001−51+500000000−1+5−1−5000000000000000000000000000000000000000000
χ664444-444-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-441+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−5000000001+51−500000000−1−5−1+5000000000000000000000000000000000000000000
χ674444-4-4-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-441−51−51+51+51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+500000000−1+5−1−500000000−1+5−1−5000000000000000000000000000000000000000000
χ684444-4-4-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-441+51+51−51−51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−500000000−1−5−1+500000000−1−5−1+5000000000000000000000000000000000000000000
χ6944-4-400004i−4i4444-4-4-4-40000000000004i−4i004i−4i0000000000000000000000000000000000000000000000000000000000002-22i−2i0000
χ7044-4-400004i−4i4444-4-4-4-40000000000004i−4i004i−4i000000000000000000000000000000000000000000000000000000000000-22−2i2i0000
χ7144-4-40000−4i4i4444-4-4-4-4000000000000−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000002-2−2i2i0000
χ7244-4-40000−4i4i4444-4-4-4-4000000000000−4i4i00−4i4i000000000000000000000000000000000000000000000000000000000000-222i−2i0000
χ734-44-4400-40044-4-444-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ744-44-4400-40044-4-444-4-400004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ754-44-4-40040044-4-444-4-40000-44-440000000000000000000000000000000000000000000000000000000000000000000000000022−2200
χ764-44-4-40040044-4-444-4-40000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000−222200
χ774-4-4404-400044-4-4-4-444000000004-44-4000000000000002-2002-2002-22-22-22-2002-22-22-22-20000000000000000000000000000000000
χ784-4-4404-400044-4-4-4-444000000004-44-400000000000000-2200-2200-22-22-22-2200-22-22-22-220000000000000000000000000000000000
χ794-4-4404-4000−1+5−1−51−51+51−51+5−1+5−1−500000000−1+51−5−1−51+5002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36002-2002-200−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000000000000000000000
χ804-4-4404-4000−1+5−1−51−51+51−51+5−1+5−1−500000000−1+51−5−1−51+5002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600-2200-22002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ36002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000000000000000000000
χ814-4-4404-4000−1+5−1−51−51+51−51+5−1+5−1−500000000−1+51−5−1−51+500−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36002-2002-200−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000000000000000000000
χ824-4-4404-4000−1+5−1−51−51+51−51+5−1+5−1−500000000−1+51−5−1−51+500−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600-2200-22002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ4002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000000000000000000000
χ834-4-4404-4000−1−5−1+51+51−51+51−5−1−5−1+500000000−1−51+5−1+51−500−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28002-2002-200−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000000000000000000000
χ844-4-4404-4000−1−5−1+51+51−51+51−5−1−5−1+500000000−1−51+5−1+51−500−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800-2200-22002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ28002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000000000000000000000
χ854-4-4404-4000−1−5−1+51+51−51+51−5−1−5−1+500000000−1−51+5−1+51−5002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28002-2002-200−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000000000000000000000
χ864-4-4404-4000−1−5−1+51+51−51+51−5−1−5−1+500000000−1−51+5−1+51−5002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800-2200-22002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ12002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000000000000000000000
χ874-4-440-4400044-4-4-4-44400000000-44-44000000000000002-200-22002-22-22-22-200-22-22-22-220000000000000000000000000000000000
χ884-4-440-4400044-4-4-4-44400000000-44-4400000000000000-22002-200-22-22-22-22002-22-22-22-20000000000000000000000000000000000
χ894-4-440-44000−1+5−1−51−51+51−51+5−1+5−1−5000000001−5−1+51+5−1−5002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36002-200-2200−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ4002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000000000000000000000
χ904-4-440-44000−1+5−1−51−51+51−51+5−1+5−1−5000000001−5−1+51+5−1−5002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600-22002-2002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ400−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000000000000000000000
χ914-4-440-44000−1+5−1−51−51+51−51+5−1+5−1−5000000001−5−1+51+5−1−500−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36002-200-2200−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ36002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000000000000000000000
χ924-4-440-44000−1+5−1−51−51+51−51+5−1+5−1−5000000001−5−1+51+5−1−500−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600-22002-2002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ3600−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000000000000000000000
χ934-4-440-44000−1−5−1+51+51−51+51−5−1−5−1+5000000001+5−1−51−5−1+500−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28002-200-2200−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ12002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000000000000000000000
χ944-4-440-44000−1−5−1+51+51−51+51−5−1−5−1+5000000001+5−1−51−5−1+500−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800-22002-2002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ1200−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000000000000000000000
χ954-4-440-44000−1−5−1+51+51−51+51−5−1−5−1+5000000001+5−1−51−5−1+5002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28002-200-2200−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ28002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000000000000000000000
χ964-4-440-44000−1−5−1+51+51−51+51−5−1−5−1+5000000001+5−1−51−5−1+5002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800-22002-2002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ2800−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000000000000000000000
χ9788-8-800008i−8i−2+25−2−25−2+25−2−252−252+252−252+25000000000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800008i−8i−2−25−2+25−2−25−2+252+252−252+252−25000000000000−4ζ6−4ζ144ζ6+4ζ1400−4ζ22−4ζ384ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-80000−8i8i−2+25−2−25−2+25−2−252−252+252−252+250000000000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-80000−8i8i−2−25−2+25−2−25−2+252+252−252+252−250000000000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8800-800−2+25−2−252−252+25−2+25−2−252−252+250000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8800-800−2−25−2+252+252−25−2−25−2+252+252−250000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-800800−2+25−2−252−252+25−2+25−2−252−252+2500002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-800800−2−25−2+252+252−25−2−25−2+252+252−2500002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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