Finite Group Databasebeta

← Group #14284297

Character table — Group #14284297

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1111222222222222222244444444444444444444444446666666666666688888888888888888888888121212121212121212121212121616161616161616161620202020242424242424242424244040404040404040404060606060120120
order122234444556661010101010104121212121515202020202020202020202020303030303030224444202020202020202024101010101220202020606060606060606060606060410101010202020202020202061230303030606060608888442020202020202020882424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1
χ911111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11-11111-1-1-1-1ii−i−i1-11111-1-1-1-1i−iii−i−iii−i−iii−i−ii−i
χ1011111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11-11111-1-1-1-1−i−iii1-11111-1-1-1-1−ii−i−iii−i−iii−i−iii−ii
χ1111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11-1-1-1-11111ii−i−i-11-1-1-1-11111−iiii−i−i−i−iiiii−i−i−ii
χ1211111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11-1-1-1-11111−i−iii-11-1-1-1-11111i−i−i−iiiii−i−i−i−iiii−i
χ1311111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1ii−i−i-11-1-1-1-11111i−iii−i−iii−i−i−i−iii−ii
χ1411111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1−i−iii-11-1-1-1-11111−ii−i−iii−i−iiiii−i−ii−i
χ1511111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111111111-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111ii−i−i1-11111-1-1-1-1−iiii−i−i−i−iii−i−iiii−i
χ1611111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111111111-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111−i−iii1-11111-1-1-1-1i−i−i−iiiii−i−iii−i−i−ii
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+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+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−5221+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+522−1−52−1−52−1+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+521−521−520000-2-21+521+521−521−521+521+521−521−520000000000000000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−520000000000000000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-21+521+521+521+521−521−521−521−52-2-21+521+521−521−5221+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+52-21+521+521−521−521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ21222222222−1+52−1−52222−1+52−1−52−1+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+52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ22222222222−1+52−1−52222−1+52−1−52−1+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+52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+5221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+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+520000-2-21−521−521+521+521−521−521+521+520000000000000000
χ23222222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+520000000000000000
χ24222222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+5221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521+521+52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ252222222-2-222222222222-222-2-222-2-2-2-222-2-222-2-22222222222-2-222222222000000-2000022-2-222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ262222222-2-222222222222-222-2-222-2-2-2-222-2-222-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2000000-2000022-2-222-2-2-2-2-2-22-2-2-2-2222222220000000000000000000000000000000000000000
χ272222222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-222-2-2−1−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58-2−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200−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+ζ58000000−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+ζ580000000000000000
χ282222222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-222-2-2−1−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58-2ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200ζ14−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−ζ58000000ζ14−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−ζ580000000000000000
χ292222222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-222-2-2−1−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521+521+521−521−521−521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58-2−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−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+ζ58000000ζ14−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−ζ580000000000000000
χ302222222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-222-2-2−1−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521+521+521−521−521−521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58-2ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200ζ14−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−ζ58000000−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+ζ580000000000000000
χ312222222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-222-2-2−1+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46-2ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200ζ2+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+ζ46000000ζ2+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+ζ460000000000000000
χ322222222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-222-2-2−1+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46-2−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200−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−ζ46000000−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−ζ460000000000000000
χ332222222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-222-2-2−1+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521−521−521+521+521+521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46-2ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200ζ2+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+ζ46000000−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−ζ460000000000000000
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χ3522222-2-22222222222222-2-2-22222-2-2-2-2-2-222-2-22222222222-2-222-2-2-2-2-2-2-2-2000000-20000-2-222-2-222-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ3622222-2-22222222222222-2-2-22222-2-2-2-2-2-222-2-222222222-2-222-2-222222222000000-20000-2-222-2-222-2-2-2-22-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
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χ3922222-2-222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222−1−52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58-2ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200−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−ζ58000000ζ14−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+ζ580000000000000000
χ4022222-2-222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222−1−52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58-2−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−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+ζ58000000−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−ζ580000000000000000
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χ4322222-2-222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222−1+52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46-2−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+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−ζ46000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000000000
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χ4622222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-21+521+521+521+521−521−521−521−52-221+521+521−521−522−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
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χ1154-4-44400−4i4i−1−5−1+5-44-41+51−51+5−1−51−5−1+5000−4i4i−1−5−1+50000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+5−1−51−5−1+51+51−5000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000
χ1164-4-44400−4i4i−1−5−1+5-44-41+51−51+5−1−51−5−1+5000−4i4i−1−5−1+50000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+5−1−51−5−1+51+51−50000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000
χ1174-4-44400−4i4i−1+5−1−5-44-41−51+51−5−1+51+5−1−5000−4i4i−1+5−1−50000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−5−1+51+5−1−51−51+50000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000
χ1184-4-44400−4i4i−1+5−1−5-44-41−51+51−5−1+51+5−1−5000−4i4i−1+5−1−50000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−5−1+51+5−1−51−51+5000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000
χ1194-4-44-2004i−4i442-22-4-4-44-44000−2i2i-2-20000004i−4i004i−4i2-22-222000000000000000000000000000−2i2i00−2i2i00000000000000000000000000000000000000000000000−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59000000
χ1204-4-44-2004i−4i442-22-4-4-44-44000−2i2i-2-20000004i−4i004i−4i2-22-222000000000000000000000000000−2i2i00−2i2i00000000000000000000000000000000000000000000000ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59000000
χ1214-4-44-200−4i4i442-22-4-4-44-440002i−2i-2-2000000−4i4i00−4i4i2-22-2220000000000000000000000000002i−2i002i−2i00000000000000000000000000000000000000000000000−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59000000
χ1224-4-44-200−4i4i442-22-4-4-44-440002i−2i-2-2000000−4i4i00−4i4i2-22-2220000000000000000000000000002i−2i002i−2i00000000000000000000000000000000000000000000000ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59000000
χ12388-8-8-400008844-488-8-8-8-800000-4-40000000000004444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-40000−2−25−2+2544-4−2−25−2+252+252+252−252−25000001+51−5−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ5800000000−1−5−1−5−1+5−1+51+51−50000000000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000000000000000000000000000000000
χ12588-8-8-40000−2−25−2+2544-4−2−25−2+252+252+252−252−25000001+51−54ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ5800000000−1−5−1−5−1+5−1+51+51−5000000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000000000000000000000000000000000
χ12688-8-8-40000−2+25−2−2544-4−2+25−2−252−252−252+252+25000001−51+54ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ4600000000−1+5−1+5−1−5−1−51−51+5000000000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000000000000000000000000000000000
χ12788-8-8-40000−2+25−2−2544-4−2+25−2−252−252−252+252+25000001−51+5−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ4600000000−1+5−1+5−1−5−1−51−51+50000000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000000000000000000000000000000000
χ1288-88-8-48i−8i00−2−25−2+25-4442+252−25−2−252+25−2+252−250−4i4i001+51−50000−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ5900−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47001+5−1−51−5−1+5−1−5−1+500000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000
χ1298-88-8-48i−8i00−2+25−2−25-4442−252+25−2+252−25−2−252+250−4i4i001−51+50000−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ4700−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59001−5−1+51+5−1−5−1+5−1−500000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4−8i8i00−2−25−2+25-4442+252−25−2−252+25−2+252−2504i−4i001+51−500004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47001+5−1−51−5−1+5−1−5−1+50000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4−8i8i00−2+25−2−25-4442−252+25−2+252−25−2−252+2504i−4i001−51+500004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59001−5−1+51+5−1−5−1+5−1−50000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4008i−8i−2−25−2+254-442+252−252+25−2−252−25−2+25000−4i4i1+51−5000000−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ5900−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−1−51+5−1+51−5−1−5−1+50000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000
χ1338-8-88-4008i−8i−2+25−2−254-442−252+252−25−2+252+25−2−25000−4i4i1−51+5000000−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ4700−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−1+51−5−1−51+5−1+5−1−50000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000
χ1348-8-88-400−8i8i−2−25−2+254-442+252−252+25−2−252−25−2+250004i−4i1+51−50000004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47−1−51+5−1+51−5−1−5−1+5000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000
χ1358-8-88-400−8i8i−2+25−2−254-442−252+252−25−2+252+25−2−250004i−4i1−51+50000004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59−1+51−5−1−51+5−1+5−1−5000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.