Finite Group Databasebeta

← Group #72231440

Character table — Group #72231440

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1122222222334444444466666666888888888810101010101212121212121212161616161616161616161616161616161616161630303030304040404040404040404060606060606060606060300300
order12555510101010225555101010101010101010101010361515151530303030420202020101010101010101015151515151515151515303030303030303030304202020201212606060606060606024101010102020202024
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ52222222222222222222222222222-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000
χ62222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111111111000000000000
χ72222−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52222222222200000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ82222−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52222222222200000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52000000000000000-2-21+521+521−521−521+521+521−521−5200
χ92222−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52222222222200000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ102222−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52222222222200000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52000000000000000-2-21−521−521+521+521−521−521+521+5200
χ1122−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+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+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ1222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+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+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−52-2-21+521+521+521+521−521−521−521−52000000000000
χ1322−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ582−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ582−1−52−1−52−1+52−1+52-1-1−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58000000000000
χ1422−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-21+521+521−521−5211ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58000000000000
χ1522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ382−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ382−1−52−1−52−1+52−1+52-1-1−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38000000000000
χ1622−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-21+521+521−521−5211ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38000000000000
χ1722−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ1822−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+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+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+52-2-21−521−521−521−521+521+521+521+52000000000000
χ1922−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ342−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ342−1+52−1+52−1−52−1−52-1-1−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34000000000000
χ2022−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-21−521−521+521+5211ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34000000000000
χ2122−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ462−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ462−1+52−1+52−1−52−1−52-1-1−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46000000000000
χ2222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-21−521−521+521+5211ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46000000000000
χ232-22222-2-2-2-2-222222-2-2-2-22-22-2-2-2222-22222-2-2-2-2000002-22-22-22-22222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000
χ242-22222-2-2-2-2-222222-2-2-2-22-22-2-2-222-11-1-1-1-11111000002-22-22-22-2-1-1-1-1-1-1-1-1-1-11111111111000003−33−33−33−33−3000000000000
χ252-22222-2-2-2-2-222222-2-2-2-22-22-2-2-222-11-1-1-1-11111000002-22-22-22-2-1-1-1-1-1-1-1-1-1-1111111111100000−33−33−33−33−33000000000000
χ262-222−1−52−1+521+521−52-2-2-22−1−52−1−52−1+52−1+521+521+521−521−522-22-21+521−52−1−52−1+522-22222-2-2-2-200000−1−521+52−1−521+52−1+521−52−1+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+521−521−521−521−521−5200000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800
χ272-222−1−52−1+521+521−52-2-2-22−1−52−1−52−1+52−1+521+521+521−521−522-22-21+521−52−1−52−1+522-22222-2-2-2-200000−1−521+52−1−521+52−1+521−52−1+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+521−521−521−521−521−5200000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800
χ282-222−1+52−1−521−521+52-2-2-22−1+52−1+52−1−52−1−521−521−521+521+522-22-21−521+52−1+52−1−522-22222-2-2-2-200000−1+521−52−1+521−52−1−521+52−1−521+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+521+521+5200000000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600
χ292-222−1+52−1−521−521+52-2-2-22−1+52−1+52−1−52−1−521−521−521+521+522-22-21−521+52−1+52−1−522-22222-2-2-2-200000−1+521−52−1+521−52−1−521+52−1−521+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+521+521+5200000000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600
χ302-2−1−52−1+5222-2-21+521−52-22−1−52−1+52−1−52−1+521+521−521+521−52−1−521+52−1+521−52-2-2222-2−1−52−1−52−1+52−1+521+521+521−521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1+521−52−1−521+52−1+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52-21+521+521−521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000
χ312-2−1−52−1+5222-2-21+521−52-22−1−52−1+52−1−52−1+521+521−521+521−52−1−521+52−1+521−52-2-2222-2−1−52−1−52−1+52−1+521+521+521−521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1+521−52−1−521+52−1+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52-21+521+521−521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000
χ322-2−1−52−1+5222-2-21+521−52-22−1−52−1+52−1−52−1+521+521−521+521−52−1−521+52−1+521−52-2-222-11−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1+521−52−1−521+52−1+521−52-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ581ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ581ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−33ζ11−ζ19−ζ11+ζ19−ζ31+ζ59ζ31−ζ59−ζ7+ζ23ζ7−ζ23−ζ43+ζ47ζ43−ζ47000000000000
χ332-2−1−52−1+5222-2-21+521−52-22−1−52−1+52−1−52−1+521+521−521+521−52−1−521+52−1+521−52-2-222-11−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1+521−52−1−521+52−1+521−52-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ581ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ581ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ473−3−ζ11+ζ19ζ11−ζ19ζ31−ζ59−ζ31+ζ59ζ7−ζ23−ζ7+ζ23ζ43−ζ47−ζ43+ζ47000000000000
χ342-2−1−52−1+5222-2-21+521−52-22−1−52−1+52−1−52−1+521+521−521+521−52−1−521+52−1+521−52-2-222-11−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1+521−52−1−521+52−1+521−52-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ381ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ381ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ473−3ζ31−ζ59−ζ31+ζ59−ζ11+ζ19ζ11−ζ19ζ43−ζ47−ζ43+ζ47ζ7−ζ23−ζ7+ζ23000000000000
χ352-2−1−52−1+5222-2-21+521−52-22−1−52−1+52−1−52−1+521+521−521+521−52−1−521+52−1+521−52-2-222-11−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1+521−52−1−521+52−1+521−52-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ381ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ381ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−33−ζ31+ζ59ζ31−ζ59ζ11−ζ19−ζ11+ζ19−ζ43+ζ47ζ43−ζ47−ζ7+ζ23ζ7−ζ23000000000000
χ362-2−1+52−1−5222-2-21−521+52-22−1+52−1−52−1+52−1−521−521+521−521+52−1+521−52−1−521+52-2-2222-2−1+52−1+52−1−52−1−521−521−521+521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+521−52−1−521+52−1+521−52−1−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52-21−521−521+521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000
χ372-2−1+52−1−5222-2-21−521+52-22−1+52−1−52−1+52−1−521−521+521−521+52−1+521−52−1−521+52-2-2222-2−1+52−1+52−1−52−1−521−521−521+521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+521−52−1−521+52−1+521−52−1−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52-21−521−521+521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000
χ382-2−1+52−1−5222-2-21−521+52-22−1+52−1−52−1+52−1−521−521+521−521+52−1+521−52−1−521+52-2-222-11−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+521−52−1−521+52−1+521−52−1−521+52-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ341ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ341ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−33−ζ7+ζ23ζ7−ζ23−ζ43+ζ47ζ43−ζ47−ζ31+ζ59ζ31−ζ59ζ11−ζ19−ζ11+ζ19000000000000
χ392-2−1+52−1−5222-2-21−521+52-22−1+52−1−52−1+52−1−521−521+521−521+52−1+521−52−1−521+52-2-222-11−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+521−52−1−521+52−1+521−52−1−521+52-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ341ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ341ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ593−3ζ7−ζ23−ζ7+ζ23ζ43−ζ47−ζ43+ζ47ζ31−ζ59−ζ31+ζ59−ζ11+ζ19ζ11−ζ19000000000000
χ402-2−1+52−1−5222-2-21−521+52-22−1+52−1−52−1+52−1−521−521+521−521+52−1+521−52−1−521+52-2-222-11−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+521−52−1−521+52−1+521−52−1−521+52-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ461ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ461ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ593−3ζ43−ζ47−ζ43+ζ47ζ7−ζ23−ζ7+ζ23−ζ11+ζ19ζ11−ζ19ζ31−ζ59−ζ31+ζ59000000000000
χ412-2−1+52−1−5222-2-21−521+52-22−1+52−1−52−1+52−1−521−521+521−521+52−1+521−52−1−521+52-2-222-11−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+521−52−1−521+52−1+521−52−1−521+52-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ461ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ461ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−33−ζ43+ζ47ζ43−ζ47−ζ7+ζ23ζ7−ζ23ζ11−ζ19−ζ11+ζ19−ζ31+ζ59ζ31−ζ59000000000000
χ423333333333-1-133333333-1-1-1-1-1-1-1-1000000000033333-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-100000000001-11111-1-1-1-11-1
χ433333333333-1-133333333-1-1-1-1-1-1-1-1000000000033333-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-10000000000-11-1-1-1-11111-11
χ443333333333-1-133333333-1-1-1-1-1-1-1-10000000000-3-3-3-3-3-1-1-1-1-1-1-1-1000000000000000000001111100000000001-11111-1-1-1-1-11
χ453333333333-1-133333333-1-1-1-1-1-1-1-10000000000-3-3-3-3-3-1-1-1-1-1-1-1-100000000000000000000111110000000000-11-1-1-1-111111-1
χ464444−1−5−1+5−1−5−1+54444−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+54444−1−5−1+5−1−5−1+5-2-2-2-2-2-2-2-2-2-200000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+521−521+521+521+521+521−521−521−521−521+521+521+521+521+521−521−521−521−521−52000000000000000000000000000
χ474444−1+5−1−5−1+5−1−54444−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−54444−1+5−1−5−1+5−1−5-2-2-2-2-2-2-2-2-2-200000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−521+521−521−521−521−521+521+521+521+521−521−521−521−521−521+521+521+521+521+52000000000000000000000000000
χ4844−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5443+52-1-13−523+52-1-13−52−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5000003+523+52-1-1-1-13−523−52−1−5−1+53+523+52-1-1-1-13−523−52−1−53+523+52-1-1−1+5-1-13−523−52000000000000000000000000000
χ4944−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5443+52-1-13−523+52-1-13−52−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5-2-2−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58000003+523+52-1-1-1-13−523−521+521−52ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ26+ζ34+ζ46+ζ58−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ581+52ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ26+ζ34+ζ46+ζ58−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ381−52−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ58000000000000000000000000000
χ5044−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5443+52-1-13−523+52-1-13−52−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5-2-2−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38000003+523+52-1-1-1-13−523−521+521−52ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ581+52ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ581−52−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58000000000000000000000000000
χ5144−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+544-13−523+52-1-13−523+52-1−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500000-1-13−523−523+523+52-1-1−1+5−1−5-1-13−523−523+523+52-1-1−1+5-1-13−523−52−1−53+523+52-1-1000000000000000000000000000
χ5244−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+544-13−523+52-1-13−523+52-1−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−5-2-2−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ5800000-1-13−523−523+523+52-1-11−521+52−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ26+ζ34+ζ46+ζ58−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ381−52−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ581+52ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ26+ζ34+ζ46+ζ58−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38000000000000000000000000000
χ5344−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+544-13−523+52-1-13−523+52-1−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−5-2-2−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ3800000-1-13−523−523+523+52-1-11−521+52−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ581−52−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ581+52ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58000000000000000000000000000
χ5444−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−544-13+523−52-1-13+523−52-1−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+544−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500000-1-13+523+523−523−52-1-1−1−5−1+5-1-13+523+523−523−52-1-1−1−5-1-13+523+52−1+53−523−52-1-1000000000000000000000000000
χ5544−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−544-13+523−52-1-13+523−52-1−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+5-2-2−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ3400000-1-13+523+523−523−52-1-11+521−52−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ58−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ461+52−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ461−52ζ2+ζ14+ζ22+ζ38+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ58−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46000000000000000000000000000
χ5644−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−544-13+523−52-1-13+523−52-1−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+5-2-2−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ4600000-1-13+523+523−523−52-1-11+521−52−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ26+ζ34+ζ46+ζ58ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ581+52−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58ζ14+ζ22+ζ26+ζ34+ζ38+ζ46ζ2+ζ14+ζ26+ζ34+ζ46+ζ581−52ζ2+ζ22+ζ26+ζ34+ζ38+ζ58ζ2+ζ14+ζ22+ζ38+ζ46+ζ58−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58000000000000000000000000000
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χ921212−3−35−3+35−3+35−3−35−3+35−3−35−3−35−3+35-4-4-39−3529+352-3-39−3529+352-31+51+51−51−51−51+51−51+500000000000000011−3+52−3+52−3−52−3−521100000000000000000000000000000000000000000000000
χ931212−3+35−3−35−3−35−3+35−3−35−3+35−3+35−3−35-4-4-39+3529−352-3-39+3529−352-31−51−51+51+51+51−51+51−500000000000000011−3−52−3−52−3+52−3+521100000000000000000000000000000000000000000000000
χ941212−3+35−3−35−3+35−3−35−3+35−3−35−3+35−3−35-4-49−352-3-39+3529−352-3-39+3521−51−51+51+51−51+51−51+5000000000000000−3+52−3+521111−3−52−3−5200000000000000000000000000000000000000000000000
χ9512-12−3−35−3+35−3−35−3+353+353−353+353−354-49+352-3-39−352−9−35233−9+3521+5−1−51−5−1+5−1−5−1+51+51−5000000000000000−3−523+521-11-1−3+523−5200000000000000000000000000000000000000000000000
χ9612-12−3−35−3+35−3+35−3−353−353+353+353−354-4-39−3529+352-33−9+352−9−35231+5−1−51−5−1+5−1+5−1−51−51+50000000000000001-1−3+523−52−3−523+521-100000000000000000000000000000000000000000000000
χ9712-12−3+35−3−35−3−35−3+353+353−353−353+354-4-39+3529−352-33−9−352−9+35231−5−1+51+5−1−5−1−5−1+51+51−50000000000000001-1−3−523+52−3+523−521-100000000000000000000000000000000000000000000000
χ9812-12−3+35−3−35−3+35−3−353−353+353−353+354-49−352-3-39+352−9+35233−9−3521−5−1+51+5−1−5−1+5−1−51−51+5000000000000000−3+523−521-11-1−3−523+5200000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1).