Finite Group Databasebeta

← Group #14419114

Character table — Group #14419114

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222444444444444445555555566668888888888888888888810101010101010101010101010101010121220202020202020202020202020202020202020202020202020202424242424242424303030303030303030303030606060606060
order122244443666121212124451010101212121220202020444444442244152020202030303060606060606060606060606088888888121212121212121224246688881212242424242424242424242424242424241010101020202020444488888888448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii11−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i11ii−i−i
χ91111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1
χ101111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ121111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111111111-1-1-1-1
χ131111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111−i−iii11iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ141111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ151111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1111111−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1111111−i−i−i−iiiii-1-1ii−i−i
χ161111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1111111ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1111111iiii−i−i−i−i-1-1−i−iii
χ171111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-11-11-111i−ii−i-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−i
χ181111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-11-11-111−ii−ii-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii
χ191111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1-111-111i−ii−i-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111-1-111−i−iii−i−iii-11−ii−ii
χ201111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1-111-111−ii−ii-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111-1-111ii−i−iii−i−i-11i−ii−i
χ211111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111-1-11-1-11-1-111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-111-1-11
χ221111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-111-111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-11-111-1
χ231111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-11-1-111111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-11-1-111-1
χ241111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-111-111-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-1-11
χ251111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i1111-1-1-1-1-11-11-1-1−ii−ii11ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1ii−i−iii−i−i-11−ii−ii
χ261111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iii−i−iii1111-1-1-1-1-11-11-1-1i−ii−i11−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1−i−iii−i−iii-11i−ii−i
χ271111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i1111-1-1-1-11-1-11-1-1−ii−ii11ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-111−i−iii−i−iii1-1i−ii−i
χ281111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111−i−iii−i−iii1111-1-1-1-11-1-11-1-1i−ii−i11−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-111ii−i−iii−i−i1-1−ii−ii
χ291111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-111-111-111-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1111-1-111-1
χ301111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-111-1111-1-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-11-1-11
χ311111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-11-111-111-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-111-1-11
χ321111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-11-1111-1-11-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-11-111-1
χ3322222222-1-1-1-1-1-1-1-1222222-1-1-1-12222222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ3422222222-1-1-1-1-1-1-1-1222222-1-1-1-12222222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10022-1-1-2-2-2-2-1-1111111111111111100000000000000000000000000
χ3522222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-2-2-2-2-2-2-2-20000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i1111111100-2-2112i2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000
χ3622222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-2-2-2-2-2-2-2-20000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111111100-2-211−2i−2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000
χ3722222222-1-1-1-1-1-1-1-1-2-2222211112222222222220000-1-2-2-2-2-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-100-2-211-2-2-2-211-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ3822222222-1-1-1-1-1-1-1-1-2-2222211112222222222220000-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100-2-2112222111111-1-1-1-11111-1-1-1-100000000000000000000000000
χ3922222222-1-1-1-1-1-1-1-1-2-2222211112222-2-2-2-2-2-2-2-20000-1-2-2-2-2-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i111111110022-1-1−2i−2i2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ4022222222-1-1-1-1-1-1-1-1-2-2222211112222-2-2-2-2-2-2-2-20000-1-2-2-2-2-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i111111110022-1-12i2i−2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ412222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-22222-2-2-2-20000-122-2-2-1-1-11111-1-1-1-111112i2i−2i−2i2i2i−2i−2i-1-1-1-11111002-2-1-12i−2i2i−2i11−i−iii−i−iii−i−iii−i−iii00000000000000000000000000
χ422222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-22222-2-2-2-20000-122-2-2-1-1-11111-1-1-1-11111−2i−2i2i2i−2i−2i2i2i-1-1-1-11111002-2-1-1−2i2i−2i2i11ii−i−iii−i−iii−i−iii−i−i00000000000000000000000000
χ432222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-2-2-2-222220000-122-2-2-1-1-11111-1-1-1-1111122-2-2-2-2221111-1-1-1-100-22112-2-22-1-1-1-111-1-11111-1-111-1-100000000000000000000000000
χ442222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-2-2-2-222220000-122-2-2-1-1-11111-1-1-1-11111-2-22222-2-21111-1-1-1-100-2211-222-2-1-111-1-111-1-1-1-111-1-11100000000000000000000000000
χ452222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-22222-2-2-2-20000-1-2-222-1-1-111111111-1-1-1-12i2i−2i−2i2i2i−2i−2i-1-1-1-1111100-2211−2i2i−2i2i-1-1−i−iiiii−i−i−i−iiiii−i−i00000000000000000000000000
χ462222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-22222-2-2-2-20000-1-2-222-1-1-111111111-1-1-1-1−2i−2i2i2i−2i−2i2i2i-1-1-1-1111100-22112i−2i2i−2i-1-1ii−i−i−i−iiiii−i−i−i−iii00000000000000000000000000
χ472222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-2-2-2-222220000-1-2-222-1-1-111111111-1-1-1-122-2-2-2-2221111-1-1-1-1002-2-1-1-222-211-1-11111-1-111-1-1-1-11100000000000000000000000000
χ482222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-2-2-2-222220000-1-2-222-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1002-2-1-12-2-221111-1-1-1-111-1-11111-1-100000000000000000000000000
χ4922-2-222-2-222-2-222-2-2002-2-22000022-2-22i2i−2i−2i2i2i−2i−2i0000200002-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
χ5022-2-222-2-222-2-222-2-2002-2-22000022-2-22i2i−2i−2i2i2i−2i−2i0000200002-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ5122-2-222-2-222-2-222-2-2002-2-22000022-2-2−2i−2i2i2i−2i−2i2i2i0000200002-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ5222-2-222-2-222-2-222-2-2002-2-22000022-2-2−2i−2i2i2i−2i−2i2i2i0000200002-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000
χ5322-2-2-2-22222-2-2-2-222002-2-220000-2-2222i2i−2i−2i−2i−2i2i2i0000200002-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ5422-2-2-2-22222-2-2-2-222002-2-220000-2-2222i2i−2i−2i−2i−2i2i2i0000200002-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000
χ5522-2-2-2-22222-2-2-2-222002-2-220000-2-222−2i−2i2i2i2i2i−2i−2i0000200002-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
χ5622-2-2-2-22222-2-2-2-222002-2-220000-2-222−2i−2i2i2i2i2i−2i−2i0000200002-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ572-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i2-22-22i−2i2i−2i2-22i−2i20000-22-22i−2i2i−2i00000000000000002-22-22i−2i2i−2i00000000000000000000000000002-2002i−2i002-22i−2i00000000000000
χ582-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i2-22-22i−2i2i−2i-22−2i2i20000-22-22i−2i2i−2i00000000000000002-22-22i−2i2i−2i0000000000000000000000000000-2200−2i2i00-22−2i2i00000000000000
χ592-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i-22-22−2i2i−2i2i2-22i−2i20000-22-22i−2i2i−2i0000000000000000-22-22−2i2i−2i2i00000000000000000000000000002-2002i−2i00-22−2i2i00000000000000
χ602-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i-22-22−2i2i−2i2i-22−2i2i20000-22-22i−2i2i−2i0000000000000000-22-22−2i2i−2i2i0000000000000000000000000000-2200−2i2i002-22i−2i00000000000000
χ612-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-20000−2i2i−2i2i2-22-2−2i2i−2i2i2-2−2i2i20000-22-2−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i00000000000000000000000000002-200−2i2i002-2−2i2i00000000000000
χ622-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-20000−2i2i−2i2i2-22-2−2i2i−2i2i-222i−2i20000-22-2−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i0000000000000000000000000000-22002i−2i00-222i−2i00000000000000
χ632-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-20000−2i2i−2i2i-22-222i−2i2i−2i2-2−2i2i20000-22-2−2i2i−2i2i0000000000000000-22-222i−2i2i−2i00000000000000000000000000002-200−2i2i00-222i−2i00000000000000
χ642-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-20000−2i2i−2i2i-22-222i−2i2i−2i-222i−2i20000-22-2−2i2i−2i2i0000000000000000-22-222i−2i2i−2i0000000000000000000000000000-22002i−2i002-2−2i2i00000000000000
χ652-2-222i−2i−2i2i2-2-222i−2i−2i2i002-22-200002i−2i−2i2i2i−2i−2i2i-222-2000020000-2-222i−2i−2i2i000000002i−2i2-22-22i−2i2i−2i−2i2i-222-20000000000002i−2i2-200002-22i−2i000000000000000000000000000000
χ662-2-222i−2i−2i2i2-2-222i−2i−2i2i002-22-200002i−2i−2i2i2i−2i−2i2i-222-2000020000-2-222i−2i−2i2i00000000−2i2i-22-22−2i2i2i−2i−2i2i-222-2000000000000−2i2i-220000-22−2i2i000000000000000000000000000000
χ672-2-222i−2i−2i2i2-2-222i−2i−2i2i002-22-200002i−2i−2i2i−2i2i2i−2i2-2-22000020000-2-222i−2i−2i2i000000002-2−2i2i2i−2i-22−2i2i2i−2i2-2-220000000000002-2−2i2i00002i−2i-22000000000000000000000000000000
χ682-2-222i−2i−2i2i2-2-222i−2i−2i2i002-22-200002i−2i−2i2i−2i2i2i−2i2-2-22000020000-2-222i−2i−2i2i00000000-222i−2i−2i2i2-2−2i2i2i−2i2-2-22000000000000-222i−2i0000−2i2i2-2000000000000000000000000000000
χ692-2-222i−2i−2i2i-111-1−iii−i002-22-23−3−i3i32i−2i−2i2i2i−2i−2i2i-222-20000-1000011-1−iii−i33−3−3−i3−i3i3i32i−2i2-22-22i−2i−iii−i1-1-110000−i3i300003−3−ii-11−i3i33−3-11−ii3−3−i3i300000000000000000000000000
χ702-2-222i−2i−2i2i-111-1−iii−i002-22-23−3−i3i32i−2i−2i2i2i−2i−2i2i-222-20000-1000011-1−iii−i33−3−3−i3−i3i3i3−2i2i-22-22−2i2i−iii−i1-1-110000−i3i300003−3i−i1-1i3−i3−331-1i−i−33i3−i300000000000000000000000000
χ712-2-222i−2i−2i2i-111-1−iii−i002-22-23−3−i3i32i−2i−2i2i−2i2i2i−2i2-2-220000-1000011-1−iii−i33−3−3−i3−i3i3i32-2−2i2i2i−2i-22i−i−ii-111-10000i3−i30000−33-11i−i−33−i3i3−ii1-1i3−i33−300000000000000000000000000
χ722-2-222i−2i−2i2i-111-1−iii−i002-22-23−3−i3i32i−2i−2i2i−2i2i2i−2i2-2-220000-1000011-1−iii−i33−3−3−i3−i3i3i3-222i−2i−2i2i2-2i−i−ii-111-10000i3−i30000−331-1−ii3−3i3−i3i−i-11−i3i3−3300000000000000000000000000
χ732-2-222i−2i−2i2i-111-1−iii−i002-22-2−33i3−i32i−2i−2i2i2i−2i−2i2i-222-20000-1000011-1−iii−i−3−333i3i3−i3−i32i−2i2-22-22i−2i−iii−i1-1-110000i3−i30000−33−ii-11i3−i3−33-11−ii−33i3−i300000000000000000000000000
χ742-2-222i−2i−2i2i-111-1−iii−i002-22-2−33i3−i32i−2i−2i2i2i−2i−2i2i-222-20000-1000011-1−iii−i−3−333i3i3−i3−i3−2i2i-22-22−2i2i−iii−i1-1-110000i3−i30000−33i−i1-1−i3i33−31-1i−i3−3−i3i300000000000000000000000000
χ752-2-222i−2i−2i2i-111-1−iii−i002-22-2−33i3−i32i−2i−2i2i−2i2i2i−2i2-2-220000-1000011-1−iii−i−3−333i3i3−i3−i32-2−2i2i2i−2i-22i−i−ii-111-10000−i3i300003−3-11i−i3−3i3−i3−ii1-1−i3i3−3300000000000000000000000000
χ762-2-222i−2i−2i2i-111-1−iii−i002-22-2−33i3−i32i−2i−2i2i−2i2i2i−2i2-2-220000-1000011-1−iii−i−3−333i3i3−i3−i3-222i−2i−2i2i2-2i−i−ii-111-10000−i3i300003−31-1−ii−33−i3i3i−i-11i3−i33−300000000000000000000000000
χ772-2-22−2i2i2i−2i2-2-22−2i2i2i−2i002-22-20000−2i2i2i−2i2i−2i−2i2i2-2-22000020000-2-22−2i2i2i−2i000000002-22i−2i−2i2i-222i−2i−2i2i2-2-220000000000002-22i−2i0000−2i2i-22000000000000000000000000000000
χ782-2-22−2i2i2i−2i2-2-22−2i2i2i−2i002-22-20000−2i2i2i−2i2i−2i−2i2i2-2-22000020000-2-22−2i2i2i−2i00000000-22−2i2i2i−2i2-22i−2i−2i2i2-2-22000000000000-22−2i2i00002i−2i2-2000000000000000000000000000000
χ792-2-22−2i2i2i−2i2-2-22−2i2i2i−2i002-22-20000−2i2i2i−2i−2i2i2i−2i-222-2000020000-2-22−2i2i2i−2i000000002i−2i-22-222i−2i−2i2i2i−2i-222-20000000000002i−2i-220000-222i−2i000000000000000000000000000000
χ802-2-22−2i2i2i−2i2-2-22−2i2i2i−2i002-22-20000−2i2i2i−2i−2i2i2i−2i-222-2000020000-2-22−2i2i2i−2i00000000−2i2i2-22-2−2i2i−2i2i2i−2i-222-2000000000000−2i2i2-200002-2−2i2i000000000000000000000000000000
χ812-2-22−2i2i2i−2i-111-1i−i−ii002-22-23−3i3−i3−2i2i2i−2i2i−2i−2i2i2-2-220000-1000011-1i−i−ii33−3−3i3i3−i3−i32-22i−2i−2i2i-22−iii−i-111-10000−i3i30000−33-11−ii−33i3−i3i−i1-1−i3i33−300000000000000000000000000
χ822-2-22−2i2i2i−2i-111-1i−i−ii002-22-23−3i3−i3−2i2i2i−2i2i−2i−2i2i2-2-220000-1000011-1i−i−ii33−3−3i3i3−i3−i3-22−2i2i2i−2i2-2−iii−i-111-10000−i3i30000−331-1i−i3−3−i3i3−ii-11i3−i3−3300000000000000000000000000
χ832-2-22−2i2i2i−2i-111-1i−i−ii002-22-23−3i3−i3−2i2i2i−2i−2i2i2i−2i-222-20000-1000011-1i−i−ii33−3−3i3i3−i3−i32i−2i-22-222i−2ii−i−ii1-1-110000i3−i300003−3−ii1-1−i3i3−331-1−ii−33−i3i300000000000000000000000000
χ842-2-22−2i2i2i−2i-111-1i−i−ii002-22-23−3i3−i3−2i2i2i−2i−2i2i2i−2i-222-20000-1000011-1i−i−ii33−3−3i3i3−i3−i3−2i2i2-22-2−2i2ii−i−ii1-1-110000i3−i300003−3i−i-11i3−i33−3-11i−i3−3i3−i300000000000000000000000000
χ852-2-22−2i2i2i−2i-111-1i−i−ii002-22-2−33−i3i3−2i2i2i−2i2i−2i−2i2i2-2-220000-1000011-1i−i−ii−3−333−i3−i3i3i32-22i−2i−2i2i-22−iii−i-111-10000i3−i300003−3-11−ii3−3−i3i3i−i1-1i3−i3−3300000000000000000000000000
χ862-2-22−2i2i2i−2i-111-1i−i−ii002-22-2−33−i3i3−2i2i2i−2i2i−2i−2i2i2-2-220000-1000011-1i−i−ii−3−333−i3−i3i3i3-22−2i2i2i−2i2-2−iii−i-111-10000i3−i300003−31-1i−i−33i3−i3−ii-11−i3i33−300000000000000000000000000
χ872-2-22−2i2i2i−2i-111-1i−i−ii002-22-2−33−i3i3−2i2i2i−2i−2i2i2i−2i-222-20000-1000011-1i−i−ii−3−333−i3−i3i3i32i−2i-22-222i−2ii−i−ii1-1-110000−i3i30000−33−ii1-1i3−i33−31-1−ii3−3i3−i300000000000000000000000000
χ882-2-22−2i2i2i−2i-111-1i−i−ii002-22-2−33−i3i3−2i2i2i−2i−2i2i2i−2i-222-20000-1000011-1i−i−ii−3−333−i3−i3i3i3−2i2i2-22-2−2i2ii−i−ii1-1-110000−i3i30000−33i−i-11−i3i3−33-11i−i−33−i3i300000000000000000000000000
χ89444444444444444444-1-1-1-14444-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000004400000000000000000000000000-1-1-1-1-1-1-1-1000000000000000000
χ90444444444444444444-1-1-1-14444-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-4-40000000000000000000000000011111111000000000000000000
χ914444444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1000000004444-11111-1-1-1-1-1-1-1111111110000000000000000-4-400000000000000000000000000-1-111-1-111000000000000000000
χ924444444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-100000000-4-4-4-4-11111-1-1-1-1-1-1-1111111110000000000000000440000000000000000000000000011-1-111-1-1000000000000000000
χ934444-4-4-4-44444-4-4-4-44-4-1-1-1-144-4-411110000000044-4-4-1-1-111-1-1-11111-1-1-1-1111100000000000000004-400000000000000000000000000-1-1-1-11111000000000000000000
χ944444-4-4-4-44444-4-4-4-44-4-1-1-1-144-4-4111100000000-4-444-1-1-111-1-1-11111-1-1-1-111110000000000000000-44000000000000000000000000001111-1-1-1-1000000000000000000
χ954444-4-4-4-44444-4-4-4-4-44-1-1-1-1-4-44411110000000044-4-4-111-1-1-1-1-111111111-1-1-1-10000000000000000-4400000000000000000000000000-1-11111-1-1000000000000000000
χ964444-4-4-4-44444-4-4-4-4-44-1-1-1-1-4-444111100000000-4-444-111-1-1-1-1-111111111-1-1-1-100000000000000004-40000000000000000000000000011-1-1-1-111000000000000000000
χ9744-4-444-4-4-2-222-2-222004-4-44000044-4-44i4i−4i−4i4i4i−4i−4i0000-20000-222-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ9844-4-444-4-4-2-222-2-222004-4-44000044-4-4−4i−4i4i4i−4i−4i4i4i0000-20000-222-2-22200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-444-2-22222-2-2004-4-440000-4-4444i4i−4i−4i−4i−4i4i4i0000-20000-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ10044-4-4-4-444-2-22222-2-2004-4-440000-4-444−4i−4i4i4i4i4i−4i−4i0000-20000-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ1014-44-44i−4i4i−4i4-44-44i−4i4i−4i00-1-1110000−ii−ii000000004-44i−4i-1−55−i5i51-11−ii−ii−55−55−i5i5−i5i500000000000000000000000000000000000000000000-11−55−ii−i5i5000000000000000000
χ1024-44-44i−4i4i−4i4-44-44i−4i4i−4i00-1-1110000−ii−ii000000004-44i−4i-15−5i5−i51-11−ii−ii5−55−5i5−i5i5−i500000000000000000000000000000000000000000000-115−5−iii5−i5000000000000000000
χ1034-44-44i−4i4i−4i4-44-44i−4i4i−4i00-1-1110000−ii−ii00000000-44−4i4i-1−55−i5i51-11−ii−ii−55−55−i5i5−i5i5000000000000000000000000000000000000000000001-15−5i−ii5−i5000000000000000000
χ1044-44-44i−4i4i−4i4-44-44i−4i4i−4i00-1-1110000−ii−ii00000000-44−4i4i-15−5i5−i51-11−ii−ii5−55−5i5−i5i5−i5000000000000000000000000000000000000000000001-1−55i−i−i5i5000000000000000000
χ1054-44-44i−4i4i−4i-22-22−2i2i−2i2i0044-4-400004i−4i4i−4i4-44-44i−4i4i−4i0000-200002-22−2i2i−2i2i0000000000000000-22-22−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ1064-44-44i−4i4i−4i-22-22−2i2i−2i2i0044-4-400004i−4i4i−4i-44-44−4i4i−4i4i0000-200002-22−2i2i−2i2i00000000000000002-22-22i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ1074-44-4−4i4i−4i4i4-44-4−4i4i−4i4i00-1-1110000i−ii−i000000004-4−4i4i-1−55i5−i51-11i−ii−i−55−55i5−i5i5−i500000000000000000000000000000000000000000000-11−55i−ii5−i5000000000000000000
χ1084-44-4−4i4i−4i4i4-44-4−4i4i−4i4i00-1-1110000i−ii−i000000004-4−4i4i-15−5−i5i51-11i−ii−i5−55−5−i5i5−i5i500000000000000000000000000000000000000000000-115−5i−i−i5i5000000000000000000
χ1094-44-4−4i4i−4i4i4-44-4−4i4i−4i4i00-1-1110000i−ii−i00000000-444i−4i-1−55i5−i51-11i−ii−i−55−55i5−i5i5−i5000000000000000000000000000000000000000000001-15−5−ii−i5i5000000000000000000
χ1104-44-4−4i4i−4i4i4-44-4−4i4i−4i4i00-1-1110000i−ii−i00000000-444i−4i-15−5−i5i51-11i−ii−i5−55−5−i5i5−i5i5000000000000000000000000000000000000000000001-1−55−iii5−i5000000000000000000
χ1114-44-4−4i4i−4i4i-22-222i−2i2i−2i0044-4-40000−4i4i−4i4i4-44-4−4i4i−4i4i0000-200002-222i−2i2i−2i0000000000000000-22-222i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ1124-44-4−4i4i−4i4i-22-222i−2i2i−2i0044-4-40000−4i4i−4i4i-44-444i−4i4i−4i0000-200002-222i−2i2i−2i00000000000000002-22-2−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ11388888888-4-4-4-4-4-4-4-488-2-2-2-2-4-4-4-4-2-2-2-20000000000001-2-2-2-21111111111111110000000000000000000000000000000000000000000000000000000000000000000000
χ11488888888-4-4-4-4-4-4-4-4-8-8-2-2-2-24444-2-2-2-2000000000000122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1158888-8-8-8-8-4-4-4-444448-8-2-2-2-2-4-44422220000000000001-2-222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1168888-8-8-8-8-4-4-4-44444-88-2-2-2-244-4-42222000000000000122-2-2111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-888-8-888-8-888-8-800-222-20000-2-222000000000000-20000-222-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-888-8-8-4-444-4-44400-222-20000-2-222000000000000100001-1-111-1-1−151515−1515−15−15150000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-888-8-8-4-444-4-44400-222-20000-2-222000000000000100001-1-111-1-115−15−1515−151515−150000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-8-88888-8-8-8-88800-222-2000022-2-2000000000000-20000-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-8-888-4-44444-4-400-222-2000022-2-2000000000000100001-1-1-1-111−151515−15−151515−150000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-8-888-4-44444-4-400-222-2000022-2-2000000000000100001-1-1-1-11115−15−151515−15−15150000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-88i−8i8i−8i-44-44−4i4i−4i4i00-2-2220000−2i2i−2i2i0000000000001−2525−2i52i5-11-1i−ii−i5−55−5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-88i−8i8i−8i-44-44−4i4i−4i4i00-2-2220000−2i2i−2i2i000000000000125−252i5−2i5-11-1i−ii−i−55−55−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8−8i8i−8i8i-44-444i−4i4i−4i00-2-22200002i−2i2i−2i0000000000001−25252i5−2i5-11-1−ii−ii5−55−5−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i8i−8i8i-44-444i−4i4i−4i00-2-22200002i−2i2i−2i000000000000125−25−2i52i5-11-1−ii−ii−55−55i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-888i−8i−8i8i8-8-888i−8i−8i8i00-22-220000−2i2i2i−2i000000000000-2000022-2−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-888i−8i−8i8i-444-4−4i4i4i−4i00-22-2243−43−4i34i3−2i2i2i−2i00000000000010000-1-11i−i−ii−3−333i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-888i−8i−8i8i-444-4−4i4i4i−4i00-22-22−43434i3−4i3−2i2i2i−2i00000000000010000-1-11i−i−ii33−3−3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88−8i8i8i−8i8-8-88−8i8i8i−8i00-22-2200002i−2i−2i2i000000000000-2000022-22i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88−8i8i8i−8i-444-44i−4i−4i4i00-22-2243−434i3−4i32i−2i−2i2i00000000000010000-1-11−iii−i−3−333−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88−8i8i8i−8i-444-44i−4i−4i4i00-22-22−4343−4i34i32i−2i−2i2i00000000000010000-1-11−iii−i33−3−3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.