Finite Group Databasebeta

← Group #11748613

Character table — Group #11748613

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444101010101010101010101010101010101010101010101010121212121212121212121212121212121212121260606060
order1222222234444556666666101010101010101010101010101012121212121212121515202020202020202030303030303030303030303030306060606060606060606060606060606044444444121212121212121212121212121212124444202020202020202020202020202020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ7111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-1111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101-1-1111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111-1-1111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121-1-1111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131-1-1111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ141-1-1111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ151-1-1111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i
χ161-1-1111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ172222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000002222−1−52−1−52−1+52−1+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
χ182222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ192222222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ202222222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ21222222222-2-2-2-2−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ22222222222-2-2-2-2−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ23222222222-2-2-2-2−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+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+5200000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ24222222222-2-2-2-2−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+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+52000000000000000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ2522222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2622222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ2722222222-1-2-2-2-222-1-1-1-1-1-1-12222222222222211111111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2822222222-1-2-2-2-222-1-1-1-1-1-1-12222222222222211111111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ292222-2-2-2-222-22-22222-2-22-2-2-2-2-2-222-222-222-2-222-2-222-2-2222-22-22-22-2-2-2-2-222-2-222-2-22222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ302222-2-2-2-222-22-2−1−52−1+5222-2-22-2-21+521+521−521−52−1−52−1−521+52−1+52−1+521−52−1−52−1+521+521−5222-2-222-2-2−1−52−1+52−1−521+52−1+521−52−1−521+52−1+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ312222-2-2-2-222-22-2−1−52−1+5222-2-22-2-21+521+521−521−52−1−52−1−521+52−1+52−1+521−52−1−52−1+521+521−5222-2-222-2-2−1−52−1+52−1−521+52−1+521−52−1−521+52−1+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ322222-2-2-2-222-22-2−1+52−1−5222-2-22-2-21−521−521+521+52−1+52−1+521−52−1−52−1−521+52−1+52−1−521−521+5222-2-222-2-2−1+52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000000000000000000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000
χ332222-2-2-2-222-22-2−1+52−1−5222-2-22-2-21−521−521+521+52−1+52−1+521−52−1−52−1−521+52−1+52−1−521−521+5222-2-222-2-2−1+52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000000000000000000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000
χ342222-2-2-2-22-22-222222-2-22-2-2-2-2-2-222-222-222-2-2-2-222-2-22222-22-22-22-22-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ352222-2-2-2-22-22-22−1−52−1+5222-2-22-2-21+521+521−521−52−1−52−1−521+52−1+52−1+521−52−1−52−1+521+521−52-2-222-2-222−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ362222-2-2-2-22-22-22−1−52−1+5222-2-22-2-21+521+521−521−52−1−52−1−521+52−1+52−1+521−52−1−52−1+521+521−52-2-222-2-222−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ372222-2-2-2-22-22-22−1+52−1−5222-2-22-2-21−521−521+521+52−1+52−1+521−52−1−52−1−521+52−1+52−1−521−521+52-2-222-2-222−1+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000000000000000000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000
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χ11144-4-4-44-44-20000−1+5−1−5-222-222-21−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+51−51+523−23−232323−23−23231−521+5200000000−1+521−52−1−521+521−52−1+52−1+521−521+52−1−52−1−521+52−1+52−1−52ζ7−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−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000000000000000
χ11244-4-4-44-44-20000−1+5−1−5-222-222-21−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+51−51+5−232323−23−232323−231−521+5200000000−1+521−52−1−521+521−52−1+52−1+521−521+52−1−52−1−521+52−1+52−1−52−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+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000000000000000
χ1134-44-44-4-4440000−1−5−1+5-44-44-44-4−1−51+5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−51+51−500000000−1−5−1+500000000−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000
χ1144-44-44-4-4440000−1+5−1−5-44-44-44-4−1+51−5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+51−51+500000000−1+5−1−500000000−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000
χ1154-44-44-4-44-20000−1−5−1+52-22-22-22−1−51+5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−51+51−523−2323−23−2323−23231+521−52000000001+52−1−521−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000000000000000000000
χ1164-44-44-4-44-20000−1−5−1+52-22-22-22−1−51+5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−51+51−5−2323−232323−2323−231+521−52000000001+52−1−521−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000000000000000000000
χ1174-44-44-4-44-20000−1+5−1−52-22-22-22−1+51−5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+51−51+523−2323−23−2323−23231−521+52000000001−52−1+521+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000000000000000
χ1184-44-44-4-44-20000−1+5−1−52-22-22-22−1+51−5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+51−51+5−2323−232323−2323−231−521+52000000001−52−1+521+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000000000000000
χ1194-44-4-444-440000−1−5−1+5-444-4-4-441+5−1−51−5−1+51+5−1−51+51−5−1+51−51+51−5−1−5−1+500000000−1−5−1+5000000001+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−50000000000000000000000000000000000000000000000000000000000000000
χ1204-44-4-444-440000−1+5−1−5-444-4-4-441−5−1+51+5−1−51−5−1+51−51+5−1−51+51−51+5−1+5−1−500000000−1+5−1−5000000001−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+50000000000000000000000000000000000000000000000000000000000000000
χ1214-44-4-444-4-20000−1−5−1+52-2-2222-21+5−1−51−5−1+51+5−1−51+51−5−1+51−51+51−5−1−5−1+523−23−2323−232323−231+521−5200000000−1−521+52−1+521−52−1−521+521+52−1−52−1+521−521−52−1+52−1−52−1+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−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+ζ47000000000000000000000000000000000000000000000000
χ1224-44-4-444-4-20000−1−5−1+52-2-2222-21+5−1−51−5−1+51+5−1−51+51−5−1+51−51+51−5−1−5−1+5−232323−2323−23−23231+521−5200000000−1−521+52−1+521−52−1−521+521+52−1−52−1+521−521−52−1+52−1−52−1+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+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−ζ47000000000000000000000000000000000000000000000000
χ1234-44-4-444-4-20000−1+5−1−52-2-2222-21−5−1+51+5−1−51−5−1+51−51+5−1−51+51−51+5−1+5−1−523−23−2323−232323−231−521+5200000000−1+521−52−1−521+52−1+521−521−52−1+52−1−521+521+52−1−52−1+52−1−52ζ7−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−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+ζ59000000000000000000000000000000000000000000000000
χ1244-44-4-444-4-20000−1+5−1−52-2-2222-21−5−1+51+5−1−51−5−1+51−51+5−1−51+51−51+5−1+5−1−5−232323−2323−23−23231−521+5200000000−1+521−52−1−521+52−1+521−521−52−1+52−1−521+521+52−1−52−1+52−1−52−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+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−ζ59000000000000000000000000000000000000000000000000
χ1254-4-4444-4-4-244-4-4−1−5−1+52222-2-2-2−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1+51+51−5-2-2-2-222221+521−52−1−5−1−5−1+5−1+51+51+51−51−51+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000000000000000000000
χ1264-4-4444-4-4-244-4-4−1+5−1−52222-2-2-2−1+5−1+5−1−5−1−51−51−51−51+51+51+5−1+5−1−51−51+5-2-2-2-222221−521+52−1+5−1+5−1−5−1−51−51−51+51+51−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000000000000000000000
χ1274-4-4444-4-4-2-4-444−1−5−1+52222-2-2-2−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1+51+51−52222-2-2-2-21+521−521+51+51−51−5−1−5−1−5−1+5−1+51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000000000000000000000000000000000000000
χ1284-4-4444-4-4-2-4-444−1+5−1−52222-2-2-2−1+5−1+5−1−5−1−51−51−51−51+51+51+5−1+5−1−51−51+52222-2-2-2-21−521+521−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000000000000000000000000000000000000000
χ1294-4-44-4-444-24-4-44−1−5−1+522-2-2-2221+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1+5−1−5−1+5-2-22222-2-21+521−52−1−51+5−1+51−51+5−1−51−5−1+5−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52000000000000000000000000000000000000000000000000
χ1304-4-44-4-444-24-4-44−1+5−1−522-2-2-2221−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−5-2-22222-2-21−521+52−1+51−5−1−51+51−5−1+51+5−1−5−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52000000000000000000000000000000000000000000000000
χ1314-4-44-4-444-2-444-4−1−5−1+522-2-2-2221+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1+5−1−5−1+522-2-2-2-2221+521−521+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52000000000000000000000000000000000000000000000000
χ1324-4-44-4-444-2-444-4−1+5−1−522-2-2-2221−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−522-2-2-2-2221−521+521−5−1+51+5−1−5−1+51−5−1−51+5−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52000000000000000000000000000000000000000000000000

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