Finite Group Databasebeta

← Group #14296927

Character table — Group #14296927

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222444444444444444444444444444444444488888888888888888888888888888888888888121212122020202024242424242424242424242424242424242430303030404040404040404040406060120120
order122222344445566610101010101066101010101212121215152020202020202020303030303030606060606060606088242424243030303040404040404040406060606012012012012012012012012012012012012012012012012044444444882020202020202020404040404040404022228812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1
χ91111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1i−iii−i−i1111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111i−i11-1-1ii−i−i-1-1i−i
χ101111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1i−iii−i−i1111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-1−ii-1-111−i−iii11−ii
χ111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1i−iii−i−i1111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1−ii-1-1-1-11111−i−i−i−iiiii-1-1-1-1i−i11-1-1ii−i−i11−ii
χ121111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1i−iii−i−i1111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−ii-1-1-1-11111−i−i−i−iiiii1111−ii-1-111−i−iii-1-1i−i
χ131111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−ii−i−iii1111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111−ii11-1-1−i−iii-1-1−ii
χ141111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−ii−i−iii1111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111−ii1111-1-1-1-1−i−i−i−iiiii-1-1-1-1i−i-1-111ii−i−i11i−i
χ151111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−ii−i−iii1111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-1−ii11-1-1−i−iii11i−i
χ161111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−ii−i−iii1111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111i−i-1-1-1-11111iiii−i−i−i−i1111i−i-1-111ii−i−i-1-1−ii
χ1722222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+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+522222000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ1822222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+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+52-2-2-2-20000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ1922222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222220000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ2022222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-20000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2122222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−522222000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ2222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ2322222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222220000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ2422222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-20000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ252222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522i−2i2i2i−2i−2i−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+ζ471+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+ζ4722-2-200002i−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+ζ47000000000000000000
χ262222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522i−2i2i2i−2i−2i−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+ζ471+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+ζ47-2-2220000−2i2i1+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−ζ47000000000000000000
χ272222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−2i2i−2i−2i2i2i−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−ζ471+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−ζ4722-2-20000−2i2i−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−ζ47000000000000000000
χ282222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−2i2i−2i−2i2i2i−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−ζ471+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−ζ47-2-22200002i−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+ζ47000000000000000000
χ292222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+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+522i−2i2i2i−2i−2i−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+ζ591−521−521+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+ζ5922-2-200002i−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+ζ59000000000000000000
χ302222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+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+522i−2i2i2i−2i−2i−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+ζ591−521−521+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+ζ59-2-2220000−2i2i1−521−521+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−ζ59000000000000000000
χ312222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+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+52−2i2i−2i−2i2i2i−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−ζ591−521−521+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−ζ5922-2-20000−2i2i−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−ζ59000000000000000000
χ322222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+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+52−2i2i−2i−2i2i2i−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−ζ591−521−521+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−ζ59-2-22200002i−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+ζ59000000000000000000
χ33222222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000000000022-1-1-1-1-1-1-1-10000
χ34222222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000000000-2-2111111110000
χ35222222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000022220000000000000000000000-2-2-1-1-1-111110000
χ36222222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000-2-2-2-20000000000000000000000221111-1-1-1-10000
χ37222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111112i−2i−i−iii-1-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii000022-2-200000000000000000000002i−2i-1-111−i−iii0000
χ38222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111112i−2i−i−iii-1-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000-2-2220000000000000000000000−2i2i11-1-1ii−i−i0000
χ39222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111−2i2iii−i−i-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i000022-2-20000000000000000000000−2i2i-1-111ii−i−i0000
χ40222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111−2i2iii−i−i-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000-2-22200000000000000000000002i−2i11-1-1−i−iii0000
χ412222-2-222-2-2222222222222-2-2-2-2-2-22-22-2222-22-222-2-222222222222222000000-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000000022-2-200000000002-200
χ422222-2-222-2-2222222222222-2-2-2-2-2-22-22-2222-22-222-2-222222222222222000000-2-2-2-200000000-2-2-2-2000000000000000000000000000000000000000000-2-2220000000000-2200
χ432222-2-22-222-222222222222-2-2-2-2-2-2-22-2222-22-22-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-200000000222200000000000000000000000000000000000000000022-2-20000000000-2200
χ442222-2-22-222-222222222222-2-2-2-2-2-2-22-2222-22-22-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-2000000002222000000000000000000000000000000000000000000-2-22200000000002-200
χ452-2-222-2222-2-222-2-22-2-2-2-2222-22-22-2-222-222-2-2-2-22222-2-2-2-222-2-2-2-222220000002-22-2000000002-22-200000000000000002-22-20000002-22-22-22-200000000000000000000000000
χ462-2-222-2222-2-222-2-22-2-2-2-2222-22-22-2-222-222-2-2-2-22222-2-2-2-222-2-2-2-222220000002-22-2000000002-22-20000000000000000-22-22000000-22-22-22-2200000000000000000000000000
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χ492-2-222-2222-2-2−1−52−1+52-2-221+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52-222-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000−1−521+52−1+521−52ζ14−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−ζ58−1−521+52−1+521−52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ582-22-2000000−1−521+52−1+521−52−1−521+52−1+521−52ζ14−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−ζ58000000000000000000
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χ1064-4-444-4-244-4-4−1+5−1−522-21−51−51+51+5−1+5−1−5-22−1+51−5−1−51+52-2-221−521+521−51−51+51+5−1+5−1−5−1+5−1−5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000001−52−1+521+52−1−522ζ2+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+2ζ461−52−1+521+52−1−52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ4600000000000000000000000000000000000000000000
χ1074-4-444-4-244-4-4−1+5−1−522-21−51−51+51+5−1+5−1−5-22−1+51−5−1−51+52-2-221−521+521−51−51+51+5−1+5−1−5−1+5−1−5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000001−52−1+521+52−1−52−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−52−1+521+52−1−52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ4600000000000000000000000000000000000000000000
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χ1094-4-444-4-2-4-444−1−5−1+522-21+51+51−51−5−1−5−1+5-22−1−51+5−1+51−5-222-21+521−52−1−5−1−5−1+5−1+51+51−51+51−5−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000001+52−1−521−52−1+52−2ζ11+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+2ζ43−2ζ47−1−521+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+ζ4700000000000000000000000000000000000000000000
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χ1124-4-444-4-2-4-444−1+5−1−522-21−51−51+51+5−1+5−1−5-22−1+51−5−1−51+5-222-21−521+52−1+5−1+5−1−5−1−51−51+51−51+5−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000001−52−1+521+52−1−52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+521−52−1−521+52ζ7−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+ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000000000000000000000
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χ1204-4-44-44-24-44-4−1+5−1−522-21−51−51+51+5−1+5−1−52-21−5−1+51+5−1−522-2-21−521+521−5−1+51+5−1−5−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52002i3−2i32i3−2i3−1+521−52−1−521+5200000000−1+521−52−1−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000000000000000000000
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χ12988-8-800-40000−2−25−2+25-444−2−252+25−2+252−252+252−2500000000001+51−5000000001+5−1−51−5−1+5−1−5−1+5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-800-40000−2+25−2−25-444−2+252−25−2−252+252−252+2500000000001−51+5000000001−5−1+51+5−1−5−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-800-40000−2+25−2−25-444−2+252−25−2−252+252−252+2500000000001−51+5000000001−5−1+51+5−1−5−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-80080000−2−25−2+25-88-82+25−2−252−25−2+252+252−250000000000−2−25−2+25000000002+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-80080000−2+25−2−25-88-82−25−2+252+25−2−252−252+250000000000−2+25−2−25000000002−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-800-40000884-44-88-88-8-80000000000-4-4000000004-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-800-40000−2−25−2+254-442+25−2−252−25−2+252+252−2500000000001+51−500000000−1−51+5−1+51−5−1−5−1+52ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-800-40000−2−25−2+254-442+25−2−252−25−2+252+252−2500000000001+51−500000000−1−51+5−1+51−5−1−5−1+5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-800-40000−2+25−2−254-442−25−2+252+25−2−252−252+2500000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ7−2ζ23+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+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-800-40000−2+25−2−254-442−25−2+252+25−2−252−252+2500000000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ7+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+2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000

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