Finite Group Databasebeta

← Group #14296871

Character table — Group #14296871

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222222222222444444444444444444444444444444448888888888888888888888888888888888888810101010121212122020202020202020202024242424242424242424242424242424242440404040404060606060120120
order12222222223556666666101010101010666610101010101010101010101015153030303030303030303030303030441212121220202020202020203030303030303030606060606060606060606060606060604444224444121212121212121244101010102020202020202020202020204412121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−ii−iii−i−i-1-111i−i
χ10111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-11111-1-1-1-1−ii-1-1-1-11111−i−i−i−iiiiii−iii−i−i11-1-1−ii
χ11111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-111-1-1-1-11111i−i1111-1-1-1-1iiii−i−i−i−i−ii−i−iii11-1-1−ii
χ12111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-11111−ii-1-1-1-11111−i−i−i−iiiii−ii−i−iii-1-111i−i
χ13111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii−ii−i−iii-1-111−ii
χ14111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-11111-1-1-1-1i−i-1-1-1-11111iiii−i−i−i−i−ii−i−iii11-1-1i−i
χ15111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-111-1-1-1-11111−ii1111-1-1-1-1−i−i−i−iiiiii−iii−i−i11-1-1i−i
χ16111111-1-1-1-111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-11111i−i-1-1-1-11111iiii−i−i−i−ii−iii−i−i-1-111−ii
χ1722222222222−1−52−1+522222222−1−52−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ1822222222222−1−52−1+522222222−1−52−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-20000000000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ1922222222222−1−52−1+522222222−1−52−1−52−1+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+52-2-2-2-2-2-21+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+521−521−521−521−52000022220000000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ2022222222222−1−52−1+522222222−1−52−1−52−1+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+52-2-2-2-2-2-21+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+521−521−521−521−520000-2-2-2-20000000000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ2122222222222−1+52−1−522222222−1+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+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ2222222222222−1+52−1−522222222−1+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+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-20000000000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ2322222222222−1+52−1−522222222−1+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+52−1−52−1−52-2-2-2-2-2-21−521−521+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+52000022220000000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ2422222222222−1+52−1−522222222−1+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+52−1−52−1−52-2-2-2-2-2-21−521−521+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+520000-2-2-2-20000000000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ252222222222-122-1-1-1-1-1-1-1222222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000
χ262222222222-122-1-1-1-1-1-1-1222222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000000000000000-2-21111000000
χ272222222222-122-1-1-1-1-1-1-1222222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222000022-1-1-1-1-1-1-1-1000000000000000000-2-21111000000
χ282222222222-122-1-1-1-1-1-1-1222222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000-2-21111111100000000000000000022-1-1-1-1000000
χ29222222-2-2-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+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+521−521−522i−2i2i2i−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+ζ47000022-2-200000000002i−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+ζ47000000000000
χ30222222-2-2-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+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+521−521−522i−2i2i2i−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+ζ470000-2-2220000000000−2i2i1+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−ζ47000000000000
χ31222222-2-2-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+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+521−521−52−2i2i−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−ζ47000022-2-20000000000−2i2i−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−ζ47000000000000
χ32222222-2-2-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+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+521−521−52−2i2i−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−ζ470000-2-22200000000002i−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+ζ47000000000000
χ33222222-2-2-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+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+522i−2i2i2i−2i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000022-2-200000000002i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000
χ34222222-2-2-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+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+522i−2i2i2i−2i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000-2-2220000000000−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000
χ35222222-2-2-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+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+52−2i2i−2i−2i2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000022-2-20000000000−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000
χ36222222-2-2-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+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+52−2i2i−2i−2i2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000-2-22200000000002i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000
χ37222222-2-2-2-2-122-1-11111-1222222-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112i−2i−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii22220000-2-2-1-1-1-111110000000000000000002i−2i−i−iii000000
χ38222222-2-2-2-2-122-1-11111-1222222-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112i−2i−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-2-2-2-20000221111-1-1-1-1000000000000000000−2i2iii−i−i000000
χ39222222-2-2-2-2-122-1-11111-1222222-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111−2i2iii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i22220000-2-2-1-1-1-11111000000000000000000−2i2iii−i−i000000
χ40222222-2-2-2-2-122-1-11111-1222222-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111−2i2iii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2-2-2-20000221111-1-1-1-10000000000000000002i−2i−i−iii000000
χ412222-2-22-22-22222222222222222-2-2-2-2-2-2-2-22-22-222-2-2222222222222222200000000000000-2-2-2-2-2-2-2-2000000000000000022-2-200002-222-2-222-2-2000000000000000000000000000000
χ422222-2-22-22-22222222222222222-2-2-2-2-2-2-2-22-22-222-2-2222222222222222200000000000000-2-2-2-2-2-2-2-20000000000000000-2-2220000-22-2-222-2-222000000000000000000000000000000
χ432222-2-22-22-2-122-1-1-1-1-1-1-12222221111-2-2-2-22-22-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i322-2-200002-2-1-111-1-11100000000000000000000−i3i3−i3i3000000
χ442222-2-22-22-2-122-1-1-1-1-1-1-12222221111-2-2-2-22-22-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2220000-2211-1-111-1-100000000000000000000i3−i3i3−i3000000
χ452222-2-22-22-2-122-1-1-1-1-1-1-12222221111-2-2-2-22-22-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i322-2-200002-2-1-111-1-11100000000000000000000i3−i3i3−i3000000
χ462222-2-22-22-2-122-1-1-1-1-1-1-12222221111-2-2-2-22-22-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2220000-2211-1-111-1-100000000000000000000−i3i3−i3i3000000
χ472222-2-2-22-2222222-2-2-2-22222222-2-222-2-2-2-2-22-22-2-22222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-22222000000000000000022-2-20000-2222-2-2-2-222000000000000000000000000000000
χ482222-2-2-22-2222222-2-2-2-22222222-2-222-2-2-2-2-22-22-2-22222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-222220000000000000000-2-22200002-2-2-22222-2-2000000000000000000000000000000
χ492222-2-2-22-22-122-1-11111-122222211-1-1-2-2-2-2-22-22-2-222-1-1-1-1-1-1-1-111111111003−3−33000000001111-1-1-1-133−3−333−3−3−3−333−3−33322-2-20000-22-1-11111-1-1000000000000000000003−3−33000000
χ502222-2-2-22-22-122-1-11111-122222211-1-1-2-2-2-2-22-22-2-222-1-1-1-1-1-1-1-111111111003−3−33000000001111-1-1-1-133−3−333−3−3−3−333−3−333-2-22200002-211-1-1-1-11100000000000000000000−333−3000000
χ512222-2-2-22-22-122-1-11111-122222211-1-1-2-2-2-2-22-22-2-222-1-1-1-1-1-1-1-11111111100−333−3000000001111-1-1-1-1−3−333−3−33333−3−333−3−322-2-20000-22-1-11111-1-100000000000000000000−333−3000000
χ522222-2-2-22-22-122-1-11111-122222211-1-1-2-2-2-2-22-22-2-222-1-1-1-1-1-1-1-11111111100−333−3000000001111-1-1-1-1−3−333−3−33333−3−333−3−3-2-22200002-211-1-1-1-111000000000000000000003−3−33000000
χ532-2-222-222-2-2222-2-222-2-22-2-2-2-2222-22-22-22-2-2-2-2-22222222-2-22-2-2-2-2-2-22222000000000000002-22-22-22-2000000000000000000002-22-20000000000002-22-22-22-200000000000000000000
χ542-2-222-222-2-2222-2-222-2-22-2-2-2-2222-22-22-22-2-2-2-2-22222222-2-22-2-2-2-2-2-22222000000000000002-22-22-22-200000000000000000000-22-22000000000000-22-22-22-2200000000000000000000
χ552-2-222-222-2-22−1−52−1+52-2-222-2-221+521+521−521−52−1−52−1+522-22-2−1−521+52−1+521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000−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+ζ58−1−521+52−1+521−52−1−521+52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800002-22-2000000000000−1−521+52−1+521−52−1−521+52−1+521−52−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+ζ58000000000000
χ562-2-222-222-2-22−1−52−1+52-2-222-2-221+521+521−521−52−1−52−1+522-22-2−1−521+52−1+521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000−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+ζ58−1−521+52−1+521−52−1−521+52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000-22-220000000000001+52−1−521−52−1+521+52−1−521−52−1+52ζ14−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−ζ58000000000000
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χ582-2-222-222-2-22−1−52−1+52-2-222-2-221+521+521−521−52−1−52−1+522-22-2−1−521+52−1+521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000ζ14−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−ζ58−1−521+52−1+521−52−1−521+52−1+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000-22-220000000000001+52−1−521−52−1+521+52−1−521−52−1+52−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+ζ58000000000000
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χ13688-8-8000000-4−2−25−2+25-444i3−4i34i3−4i34−2−252+25−2+252−252+252−2500000000000000001+51−5−1−51+5−1−5−1+51−5−1+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-8000000-4−2+25−2−25-44−4i34i3−4i34i34−2+252−25−2−252+252−252+2500000000000000001−51+5−1+51−5−1+5−1−51+5−1−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8000000-4−2+25−2−25-444i3−4i34i3−4i34−2+252−25−2−252+252−252+2500000000000000001−51+5−1+51−5−1+5−1−51+5−1−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-80000008−2−25−2+25-880000-82+25−2−252−25−2+252+252−250000000000000000−2−25−2+252+252+25−2−252−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-80000008−2+25−2−25-880000-82−25−2+252+25−2−252−252+250000000000000000−2+25−2−252−252−25−2+252+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8000000-4−2−25−2+254-4−4i34i34i3−4i342+25−2−252−25−2+252+252−2500000000000000001+51−5−1−5−1−51+5−1+5−1+51−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8000000-4−2−25−2+254-44i3−4i3−4i34i342+25−2−252−25−2+252+252−2500000000000000001+51−5−1−5−1−51+5−1+5−1+51−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8000000-4−2+25−2−254-4−4i34i34i3−4i342−25−2+252+25−2−252−252+2500000000000000001−51+5−1+5−1+51−5−1−5−1−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8000000-4−2+25−2−254-44i3−4i3−4i34i342−25−2+252+25−2−252−252+2500000000000000001−51+5−1+5−1+51−5−1−5−1−51+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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