Finite Group Databasebeta

← Group #14302453

Character table — Group #14302453

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1122222222222222222224444444444444444444444444444444444444488888888888888888888888888888888888824242424242424242424242424242424242424244040404040404040404040406060606060606060
order122223444455610101212202020204444666101010101010121212151520202020202030303030303060606060606060601212121220202020202020203030303060606060606060606060606060606060606060602444101010102020202020202020202020208888242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ9111-1-111-11-11111111-1-1-1-1ii−i−i1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ10111-1-111-11-11111111-1-1-1-1ii−i−i1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-1-111−i−iii
χ11111-1-111-11-11111111-1-1-1-1ii−i−i1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-1-111−i−iii
χ12111-1-111-11-11111111-1-1-1-1ii−i−i1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii11-1-1ii−i−i
χ13111-1-111-11-11111111-1-1-1-1−i−iii1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ14111-1-111-11-11111111-1-1-1-1−i−iii1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-1-111ii−i−i
χ15111-1-111-11-11111111-1-1-1-1−i−iii1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii-1-111ii−i−i
χ16111-1-111-11-11111111-1-1-1-1−i−iii1-1-111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i11-1-1−i−iii
χ172222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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+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+5200000000000000000000
χ182222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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+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+521−521−5200000000000000000000
χ192222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ202222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ212222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−5200000000000000000000
χ222222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ232222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+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+5200000000000000000000
χ242222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ25222222-2-2-2-222222-2-2-2-2-2-22-22-2222222222-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-22-22-22-22-22-22222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ26222222-2-2-2-222222-2-2-2-2-2-2-22-22222222222-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-22-22-22-22-22-222222-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ27222222-2-2-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522-22-2222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−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+ζ58−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+ζ5800000000000000000000
χ28222222-2-2-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522-22-2222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ14−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−ζ58ζ14−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−ζ5800000000000000000000
χ29222222-2-2-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−52-22-22222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+52−1−521−52−1+521+52−1−521−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000−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+ζ58ζ14−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−ζ5800000000000000000000
χ30222222-2-2-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−52-22-22222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+52−1−521−52−1+521+52−1−521−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000ζ14−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−ζ58−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+ζ5800000000000000000000
χ31222222-2-2-2-2−1+52−1−522−1+52−1−52-2-21−521−521+521+522-22-2222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+521−52−1−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ2+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+ζ46ζ2+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+ζ4600000000000000000000
χ32222222-2-2-2-2−1+52−1−522−1+52−1−52-2-21−521−521+521+522-22-2222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+521−52−1−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−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−ζ46−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−ζ4600000000000000000000
χ33222222-2-2-2-2−1+52−1−522−1+52−1−52-2-21−521−521+521+52-22-22222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-221−52−1+521+52−1−521−52−1+521+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ2+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+ζ46−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−ζ4600000000000000000000
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χ43222-2-222-22-2−1−52−1+522−1−52−1+52221+521+521−521−522i2i−2i−2i2-2-2−1−52−1+521+521−521+521−522-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522i2i−2i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ472-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.