Finite Group Databasebeta

← Group #72242009

Character table — Group #72242009

Order 5616.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122224466612121212121213131313131313131313242424242424262626262626262626262626262626262626262636363636363652525252525252525252787878787878787878787878787878787878787878787878787878787878787878234234234234234234
order12336636266132639397878223366666639393978787833336666666666666666262678787878336666666624466666666666666121212121212121212121212121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ41111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ51111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ61111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ711111111111111111-1-11111-1-1-1-11111111111-1-1-11-11-11-1-11-1-1-1-1-111111111-1-11-1-11-1-1-1i−i-1-11-11-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−ii−ii−ii−i
χ811111111111111111-1-11111-1-1-1-11111111111-1-1-11-11-11-1-11-1-1-1-1-111111111-1-11-1-11-1-1-1−ii-1-11-11-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−ii−ii−ii
χ911111111111111111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1−1−i321+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32-11+i321−i32111111−1−i32−1+i32-1-1−1−i321+i321+i32−1+i321−i321−i32-1i−i-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ii−i−i−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151i−i−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151
χ1011111111111111111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1−1−i321+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32-11+i321−i32111111−1−i32−1+i32-1-1−1−i321+i321+i32−1+i321−i321−i32-1−ii-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−i−iiiζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−iiζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151
χ1111111111111111111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1−1+i321−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32-11−i321+i32111111−1+i32−1−i32-1-1−1+i321−i321−i32−1−i321+i321+i32-1i−i-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ii−i−i−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155i−i−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155
χ1211111111111111111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1−1+i321−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32-11−i321+i32111111−1+i32−1−i32-1-1−1+i321−i321−i32−1−i321+i321+i32-1−ii-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−i−iiiζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−iiζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155
χ1311111111-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ1411111111-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1511111111-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ1611111111-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ1711111111-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ1811111111-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1911111111-1-1-1111111-1-11111-1-1-1-11111111111-1-1-11-11-11-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-11i−i11-11-11-1-111-1-111i−ii−iii−i−iii−i−iii−i−i−ii−ii−ii
χ2011111111-1-1-1111111-1-11111-1-1-1-11111111111-1-1-11-11-11-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-11−ii11-11-11-1-111-1-111−ii−ii−i−iii−i−iii−i−iiii−ii−ii−i
χ2111111111-1-1-1111111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1−1−i321+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32-11+i321−i32-1-1-1-1-1-1−1−i32−1+i32-1-1−1−i321+i321+i32−1+i321−i321−i321i−i111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ii−i−i−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−iiζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151
χ2211111111-1-1-1111111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1−1−i321+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32-11+i321−i32-1-1-1-1-1-1−1−i32−1+i32-1-1−1−i321+i321+i32−1+i321−i321−i321−ii111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−i−iiiζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151i−i−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151
χ2311111111-1-1-1111111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1−1+i321−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32-11−i321+i32-1-1-1-1-1-1−1+i32−1−i32-1-1−1+i321−i321−i32−1−i321+i321+i321i−i111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ii−i−i−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−iiζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155
χ2411111111-1-1-1111111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1−1+i321−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32-11−i321+i32-1-1-1-1-1-1−1+i32−1−i32-1-1−1+i321−i321−i32−1−i321+i321+i321−ii111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−i−iiiζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155i−i−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155
χ25222-12-1-1-12-1-122-1-1-1-122222222222-1-12-1-122-1-12-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1200-1-12222-1-1-1-1-1-1-1-10000000000000000000000
χ26222-12-1-1-12-1-122-1-1-1-122−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-1-12-1-1−1−i3−1+i31+i321−i322-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321−i321−i321−i322−1−i3−1+i322-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32200-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i320000000000000000000000
χ27222-12-1-1-12-1-122-1-1-1-122−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-1-12-1-1−1+i3−1−i31−i321+i322-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321+i321+i321+i322−1+i3−1−i322-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32200-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i320000000000000000000000
χ28222-12-1-1-12-1-122-1-1-1-1-2-22222-2-2-2-22-1-12-1-122-1-1-2112-22-2-111-111-2-2-222-1-1-1-1-1-111-111-111-200112-22-2-1-111-1-1110000000000000000000000
χ29222-12-1-1-12-1-122-1-1-1-1-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-1-12-1-1−1−i3−1+i31+i321−i32-211−1−i31+i3−1+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-21+i31−i322-1-1-1-11+i321−i32111+i32−1−i32−1−i321−i32−1+i32−1+i32-20011−1−i31+i3−1+i31−i31+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000000000000000000000
χ30222-12-1-1-12-1-122-1-1-1-1-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-1-12-1-1−1+i3−1−i31−i321+i32-211−1+i31−i3−1−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-21−i31+i322-1-1-1-11−i321+i32111−i32−1+i32−1+i321+i32−1−i32−1−i32-20011−1+i31−i3−1−i31+i31−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000000000000000000000
χ31222-12-1-1-1-21122-1-1-1-122222222222-1-12-1-122-1-12-1-12222-1-1-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-1-20011-2-2-2-2111111110000000000000000000000
χ32222-12-1-1-1-21122-1-1-1-122−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-1-12-1-1−1−i3−1+i31+i321−i322-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321−i321−i321−i322−1−i3−1+i3-2-211111+i321−i32-1-11+i321+i321+i321−i321−i321−i32-200111+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000
χ33222-12-1-1-1-21122-1-1-1-122−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-1-12-1-1−1+i3−1−i31−i321+i322-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321+i321+i321+i322−1+i3−1−i3-2-211111−i321+i32-1-11−i321−i321−i321+i321+i321+i32-200111−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000
χ34222-12-1-1-1-21122-1-1-1-1-2-22222-2-2-2-22-1-12-1-122-1-1-2112-22-2-111-111-2-2-2-2-21111-1-111-111-111200-1-1-22-2211-1-111-1-10000000000000000000000
χ35222-12-1-1-1-21122-1-1-1-1-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-1-12-1-1−1−i3−1+i31+i321−i32-211−1−i31+i3−1+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-21+i31−i3-2-211111+i321−i32111+i32−1−i32−1−i321−i32−1+i32−1+i32200-1-11+i3−1−i31−i3−1+i3−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000000000000000000000
χ36222-12-1-1-1-21122-1-1-1-1-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-1-12-1-1−1+i3−1−i31−i321+i32-211−1+i31−i3−1−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-21−i31+i3-2-211111−i321+i32111−i32−1+i32−1+i321+i32−1−i32−1−i32200-1-11−i3−1+i31+i3−1−i3−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i320000000000000000000000
χ3722-12-12-1-10002222222222222222-1-1-1-1-1-1-1-122-122-1-1-1-1222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1022000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ3822-12-12-1-10002222222222222222-1-1-1-1-1-1-1-122-122-1-1-1-1222222-1-1-1000000-1-1-1-1-1-1-1-1-1-10-2-200000000000000-2-2-2-2111111111111000000
χ3922-12-12-1-100022222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-11+i321−i32−1−i3−1+i3-1221+i321+i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i320000001+i321−i32-1-11+i321+i321+i321−i321−i321−i3202200000000000000−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000
χ4022-12-12-1-100022222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-11+i321−i32−1−i3−1+i3-1221+i321+i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i320000001+i321−i32-1-11+i321+i321+i321−i321−i321−i320-2-2000000000000001+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000
χ4122-12-12-1-100022222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-11−i321+i32−1+i3−1−i3-1221−i321−i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i320000001−i321+i32-1-11−i321−i321−i321+i321+i321+i3202200000000000000−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000
χ4222-12-12-1-100022222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-11−i321+i32−1+i3−1−i3-1221−i321−i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i320000001−i321+i32-1-11−i321−i321−i321+i321+i321+i320-2-2000000000000001−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000
χ4322-12-12-1-1000222222-2-22222-2-2-2-2-1-1-1-1-1-1-1-1221-2-2-11-112-2-22-2-2111000000-1-111-111-11102i−2i000000000000002i−2i2i−2i−i−iii−i−iii−i−iii000000
χ4422-12-12-1-1000222222-2-22222-2-2-2-2-1-1-1-1-1-1-1-1221-2-2-11-112-2-22-2-2111000000-1-111-111-1110−2i2i00000000000000−2i2i−2i2iii−i−iii−i−iii−i−i000000
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χ4622-12-12-1-1000222222-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3-1-1-1-1-1-11+i321−i32−1−i3−1+i31-2-21+i32−1−i321−i32−1+i32−1−i31+i31+i3−1+i31−i31−i31−1−i32−1+i320000001+i321−i32111+i32−1−i32−1−i321−i32−1+i32−1+i320−2i2i000000000000002ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ151ii−i−i−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155−ζ11−ζ23−ζ35−ζ47−ζ59−ζ71−ζ83−ζ95−ζ107−ζ119−ζ131−ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155ζ11+ζ23+ζ35+ζ47+ζ59+ζ71+ζ83+ζ95+ζ107+ζ119+ζ131+ζ155−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151−ζ7−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ103−ζ115−ζ127−ζ139−ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151ζ7+ζ19+ζ31+ζ43+ζ55+ζ67+ζ79+ζ103+ζ115+ζ127+ζ139+ζ151000000
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χ10824-24-12-1212126-6000-221+i391−i39−1−i39−1+i3900000000001−1−i392−1+i392-11+i3921−i392000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 156 (ζ156 = 1); i = ζ39.