Finite Group Databasebeta

← Group #14307496

Character table — Group #14307496

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888242424242424242424242424242424242424242430303030404040404040404040404040606060606060
order1222222222355666101010101010444466666610101010101010101010101015153030303030303030303030303030121212122020202020202020303030303030303060606060606060606060606060606060444420202020202020202020202020202020444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ9111111-1-1-1-1111111111111ii−i−i11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-11-1i−i11-1-1ii−i−i1-1ii−i−i
χ10111111-1-1-1-1111111111111ii−i−i11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i-1-111-11−ii-1-111−i−iii-11−i−iii
χ11111111-1-1-1-1111111111111ii−i−i11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii11-1-1-11−ii-1-111−i−iii1-1ii−i−i
χ12111111-1-1-1-1111111111111ii−i−i11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii-1-1111-1i−i11-1-1ii−i−i-11−i−iii
χ13111111-1-1-1-1111111111111−i−iii11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-11-1−ii11-1-1−i−iii1-1−i−iii
χ14111111-1-1-1-1111111111111−i−iii11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii-1-111-11i−i-1-111ii−i−i-11ii−i−i
χ15111111-1-1-1-1111111111111−i−iii11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i11-1-1-11i−i-1-111ii−i−i1-1−i−iii
χ16111111-1-1-1-1111111111111−i−iii11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i-1-1111-1−ii11-1-1−i−iii-11ii−i−i
χ1722222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+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+520000000000000000000000
χ1822222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+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+521−521−520000000000000000000000
χ1922222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+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+521−521−520000000000000000000000
χ2022222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+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+520000000000000000000000
χ2122222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−520000000000000000000000
χ2222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+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+520000000000000000000000
χ2322222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+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+520000000000000000000000
χ2422222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+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+52−1−52−1−520000000000000000000000
χ252222222222-122-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1000000
χ262222222222-122-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211111111000000
χ272222222222-122-1-1-1222222-2-2-2-2-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-11111000000
χ282222222222-122-1-1-1222222-2-2-2-2-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-1000000
χ29222222-2-2-2-22−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522i2i−2i−2i22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+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+ζ47−1−52−1−52−1+52−1+521+521+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+ζ470000000000000000000000
χ30222222-2-2-2-22−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522i2i−2i−2i22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+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+ζ47−1−52−1−52−1+52−1+521+521+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+ζ47-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000
χ31222222-2-2-2-22−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−2i−2i2i2i22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−2i−2i2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+52−1+521+521+521−521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−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−ζ472-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000
χ32222222-2-2-2-22−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−2i−2i2i2i22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−2i−2i2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+52−1+521+521+521−521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−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−ζ47-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+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+ζ470000000000000000000000
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χ10344-4-44-4-4-444-2−1−5−1+5-222−1−5−1+51+51+51−51−54i−4i−4i4i-222-22-2−1−51+5−1+51−51+5−1−51−5−1+51+51−5−1−5−1+51+521−521+52−1−52−1−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−2i2i2i−2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+52−1−521−52−1+52−1−521+52−1+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000000000000000000000000
χ10444-4-44-4-4-444-2−1−5−1+5-222−1−5−1+51+51+51−51−5−4i4i4i−4i-222-22-2−1−51+5−1+51−51+5−1−51−5−1+51+51−5−1−5−1+51+521−521+52−1−52−1−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522i−2i−2i2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+52−1−521−52−1+52−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000000000000000000000000
χ10544-4-44-4-4-444-2−1+5−1−5-222−1+5−1−51−51−51+51+54i−4i−4i4i-222-22-2−1+51−5−1−51+51−5−1+51+5−1−51−51+5−1+5−1−51−521+521−52−1+52−1+521+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−2i2i2i−2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−52−1+521+52−1−52−1+521−52−1−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000000000000000000000000
χ10644-4-44-4-4-444-2−1+5−1−5-222−1+5−1−51−51−51+51+5−4i4i4i−4i-222-22-2−1+51−5−1−51+51−5−1+51+5−1−51−51+5−1+5−1−51−521+521−52−1+52−1+521+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522i−2i−2i2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−52−1+521+52−1−52−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000000000000000000000000
χ10744-4-4-444-4-444−1−5−1+54-4-4−1−5−1+51+51+51−51−50000-4444-4-41+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51−5−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000
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χ10944-4-4-444-4-44-244-22244-4-4-4-400002-2-2-222-44-444444-4-4-4-4-2-2-222-222-2-2-2-222220000000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000
χ11044-4-4-444-4-44-2−1−5−1+5-222−1−5−1+51+51+51−51−500002-2-2-2221+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+521−521+52−1−52−1−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−521+52−1+521−521+52−1−521−52−1+52ζ11+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+ζ47ζ11+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+ζ47000000000000000000000000000000000000000000
χ11144-4-4-444-4-44-2−1−5−1+5-222−1−5−1+51+51+51−51−500002-2-2-2221+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+521−521+52−1−52−1−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−521+52−1+521−521+52−1−521−52−1+52−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−ζ47−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−ζ47000000000000000000000000000000000000000000
χ11244-4-4-444-4-44-2−1+5−1−5-222−1+5−1−51−51−51+51+500002-2-2-2221−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−521+521−52−1+52−1+521+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+521−52−1−521+521−52−1+521+52−1−52−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+ζ59−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+ζ59000000000000000000000000000000000000000000
χ11344-4-4-444-4-44-2−1+5−1−5-222−1+5−1−51−51−51+51+500002-2-2-2221−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−521+521−52−1+52−1+521+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+521−52−1−521+521−52−1+521+52−1−52ζ7+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−ζ59ζ7+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−ζ59000000000000000000000000000000000000000000
χ11444-4-4-44-444-44−1−5−1+54-4-4−1−5−1+51+51+51−51−50000-44-4-4441+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000001+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000
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χ11644-4-4-44-444-4-244-22244-4-4-4-400002-222-2-2-44-44-4-4-4-44444-2-2-222-2222222-2-2-2-20000000000002-22-22-22-20000000000000000000000000000000000000000000000000000000000
χ11744-4-4-44-444-4-2−1−5−1+5-222−1−5−1+51+51+51−51−500002-222-2-21+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+521−521+52−1−52−1−521−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−521+52−1+521−52−1−521+52−1+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000000000000000000
χ11844-4-4-44-444-4-2−1−5−1+5-222−1−5−1+51+51+51−51−500002-222-2-21+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+521−521+52−1−52−1−521−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−521+52−1+521−52−1−521+52−1+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000000000000000000
χ11944-4-4-44-444-4-2−1+5−1−5-222−1+5−1−51−51−51+51+500002-222-2-21−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−521+521−52−1+52−1+521+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+521−52−1−521+52−1+521−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000000000000000000
χ12044-4-4-44-444-4-2−1+5−1−5-222−1+5−1−51−51−51+51+500002-222-2-21−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−521+521−52−1+52−1+521+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+521−52−1−521+52−1+521−52−1−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000000000000000000
χ1214-44-4000000444-44-4-4-44-44-4000000000000000000000044-44-4-44-40000000000000000000000000000000000000000000000000000000000000000004i−4i000000000000000000
χ1224-44-4000000444-44-4-4-44-44-4000000000000000000000044-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000−4i4i000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.