Finite Group Databasebeta

← Group #13383771

Character table — Group #13383771

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size11112222224444888888888888222244444488881616161616161616161616162222444444888816161616161616161616161622224444448888161616161616161616161616777714141414141428282828565656565656565656565656
order1244222444888844888888888871428281414142828285656565628285656565656565656565671428281414142828285656565628285656565656565656565671428281414142828285656565628285656565656565656565622442224448888448888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ311111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-1
χ411111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-1
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1
χ71111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111
χ922222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i00
χ1022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i00
χ112222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i0000
χ122222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i0000
χ132222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-2
χ142222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-22
χ1522-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-20000000000
χ1622-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-220000000000
χ1722-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i00000000
χ1822-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i00000000
χ1922-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i000000
χ2022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i000000
χ2122-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i000000000000
χ2222-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i000000000000
χ234-44i−4i000000−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ530000000000004-44i−4i000000−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ530000000000004-44i−4i000000−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ530000000000004-44i−4i000000−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ530000000000004-44i−4i000000−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53000000000000
χ244-44i−4i0000002ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ530000000000004-44i−4i0000002ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ530000000000004-44i−4i0000002ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ530000000000004-44i−4i0000002ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ530000000000004-44i−4i0000002ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ53000000000000
χ254-4−4i4i000000−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ550000000000004-4−4i4i000000−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ550000000000004-4−4i4i000000−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ550000000000004-4−4i4i000000−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ550000000000004-4−4i4i000000−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ552ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55000000000000
χ264-4−4i4i0000002ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ550000000000004-4−4i4i0000002ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ550000000000004-4−4i4i0000002ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ550000000000004-4−4i4i0000002ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ550000000000004-4−4i4i0000002ζ5+2ζ13+2ζ29+2ζ37+2ζ45+2ζ53−2ζ5−2ζ13−2ζ29−2ζ37−2ζ45−2ζ532ζ15+2ζ23+2ζ31+2ζ39+2ζ47+2ζ55−2ζ15−2ζ23−2ζ31−2ζ39−2ζ47−2ζ55000000000000
χ2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2911111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ3011111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ311111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ321111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ331111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ341111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3522222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i00-2-2-2-2-222-222000000000000−2i2i00
χ3622222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i00-2-2-2-2-222-2220000000000002i−2i00
χ372222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i0000-2-2-2-22-222-220000000000−2i2i0000
χ382222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i0000-2-2-2-22-222-2200000000002i−2i0000
χ392222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-2-2-2-2-222-222-200000000000000-22
χ402222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-22-2-2-2-222-222-2000000000000002-2
χ4122-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-20000000000-2-222-2-2-22220000-220000000000
χ4222-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-220000000000-2-222-2-2-222200002-20000000000
χ4322-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i00000000-2-222-2222-2-2000000−2i2i00000000
χ4422-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i00000000-2-222-2222-2-20000002i−2i00000000
χ4522-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i000000-2-2222-22-22-200000000−2i2i000000
χ4622-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i000000-2-2222-22-22-2000000002i−2i000000
χ4722-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i000000000000-2-22222-2-2-22−2i−2i2i2i000000000000
χ4822-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i000000000000-2-22222-2-2-222i2i−2i−2i000000000000
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χ1112222222222-2-2-2-2-2-22222-2-2-2-222−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ4400000000000000000000000000
χ1122222222222-2-2-2-2-2-2-2-2-2-2222222−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ4400000000000000000000000000
χ11344444-4-44-4-40000000000004i−4i00−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ520000000000002ζ38+2ζ46−2ζ38−2ζ4600−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ360000000000002ζ6+2ζ22−2ζ6−2ζ2200−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ440000000000002ζ30+2ζ54−2ζ30−2ζ540000000000000000000000000000
χ11444444-4-44-4-4000000000000−4i4i00−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52000000000000−2ζ38−2ζ462ζ38+2ζ4600−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36000000000000−2ζ6−2ζ222ζ6+2ζ2200−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44000000000000−2ζ30−2ζ542ζ30+2ζ540000000000000000000000000000
χ1154444-44-4-44-400000000004i−4i0000−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ5200000000002ζ38+2ζ46−2ζ38−2ζ460000−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ3600000000002ζ6+2ζ22−2ζ6−2ζ220000−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ4400000000002ζ30+2ζ54−2ζ30−2ζ54000000000000000000000000000000
χ1164444-44-4-44-40000000000−4i4i0000−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ520000000000−2ζ38−2ζ462ζ38+2ζ460000−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ360000000000−2ζ6−2ζ222ζ6+2ζ220000−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ440000000000−2ζ30−2ζ542ζ30+2ζ54000000000000000000000000000000
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χ11944-4-4444-4-4-400004-40000000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ520000−2ζ4−2ζ522ζ4+2ζ520000000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ360000−2ζ20−2ζ362ζ20+2ζ360000000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ440000−2ζ12−2ζ442ζ12+2ζ44000000000000000000000000000000000000
χ12044-4-4444-4-4-40000-440000000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ5200002ζ4+2ζ52−2ζ4−2ζ520000000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ3600002ζ20+2ζ36−2ζ20−2ζ360000000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ4400002ζ12+2ζ44−2ζ12−2ζ44000000000000000000000000000000000000
χ12144-4-44-4-4-4440000004i−4i00000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ520000002ζ38+2ζ46−2ζ38−2ζ4600000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ360000002ζ6+2ζ22−2ζ6−2ζ2200000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ440000002ζ30+2ζ54−2ζ30−2ζ540000000000000000000000000000000000
χ12244-4-44-4-4-444000000−4i4i00000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52000000−2ζ38−2ζ462ζ38+2ζ4600000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36000000−2ζ6−2ζ222ζ6+2ζ2200000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44000000−2ζ30−2ζ542ζ30+2ζ540000000000000000000000000000000000
χ12344-4-4-44-44-44000000004i−4i000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ52000000002ζ38+2ζ46−2ζ38−2ζ46000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ36000000002ζ6+2ζ22−2ζ6−2ζ22000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ44000000002ζ30+2ζ54−2ζ30−2ζ5400000000000000000000000000000000
χ12444-4-4-44-44-4400000000−4i4i000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ5200000000−2ζ38−2ζ462ζ38+2ζ46000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ3600000000−2ζ6−2ζ222ζ6+2ζ22000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ4400000000−2ζ30−2ζ542ζ30+2ζ5400000000000000000000000000000000
χ12544-4-4-4-4444-44i4i−4i−4i000000000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ38+2ζ462ζ38+2ζ46−2ζ38−2ζ46−2ζ38−2ζ46000000000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ6+2ζ222ζ6+2ζ22−2ζ6−2ζ22−2ζ6−2ζ22000000000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ30+2ζ542ζ30+2ζ54−2ζ30−2ζ54−2ζ30−2ζ5400000000000000000000000000000000000000
χ12644-4-4-4-4444-4−4i−4i4i4i000000000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ38−2ζ46−2ζ38−2ζ462ζ38+2ζ462ζ38+2ζ46000000000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ6−2ζ22−2ζ6−2ζ222ζ6+2ζ222ζ6+2ζ22000000000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ30−2ζ54−2ζ30−2ζ542ζ30+2ζ542ζ30+2ζ5400000000000000000000000000000000000000
χ1278-88i−8i000000−4ζ15−4ζ23−4ζ31−4ζ39−4ζ47−4ζ554ζ15+4ζ23+4ζ31+4ζ39+4ζ47+4ζ55−4ζ5−4ζ13−4ζ29−4ζ37−4ζ45−4ζ534ζ5+4ζ13+4ζ29+4ζ37+4ζ45+4ζ53000000000000−4ζ4−4ζ524ζ4+4ζ524ζ38+4ζ46−4ζ38−4ζ460000002ζ31+2ζ39−2ζ31−2ζ392ζ45+2ζ53−2ζ45−2ζ53000000000000−4ζ20−4ζ364ζ20+4ζ364ζ6+4ζ22−4ζ6−4ζ220000002ζ15+2ζ55−2ζ15−2ζ552ζ13+2ζ29−2ζ13−2ζ29000000000000−4ζ12−4ζ444ζ12+4ζ444ζ30+4ζ54−4ζ30−4ζ540000002ζ23+2ζ47−2ζ23−2ζ472ζ5+2ζ37−2ζ5−2ζ3700000000000000000000000000000000000000
χ1288-88i−8i0000004ζ15+4ζ23+4ζ31+4ζ39+4ζ47+4ζ55−4ζ15−4ζ23−4ζ31−4ζ39−4ζ47−4ζ554ζ5+4ζ13+4ζ29+4ζ37+4ζ45+4ζ53−4ζ5−4ζ13−4ζ29−4ζ37−4ζ45−4ζ53000000000000−4ζ4−4ζ524ζ4+4ζ524ζ38+4ζ46−4ζ38−4ζ46000000−2ζ31−2ζ392ζ31+2ζ39−2ζ45−2ζ532ζ45+2ζ53000000000000−4ζ20−4ζ364ζ20+4ζ364ζ6+4ζ22−4ζ6−4ζ22000000−2ζ15−2ζ552ζ15+2ζ55−2ζ13−2ζ292ζ13+2ζ29000000000000−4ζ12−4ζ444ζ12+4ζ444ζ30+4ζ54−4ζ30−4ζ54000000−2ζ23−2ζ472ζ23+2ζ47−2ζ5−2ζ372ζ5+2ζ3700000000000000000000000000000000000000
χ1298-8−8i8i000000−4ζ5−4ζ13−4ζ29−4ζ37−4ζ45−4ζ534ζ5+4ζ13+4ζ29+4ζ37+4ζ45+4ζ53−4ζ15−4ζ23−4ζ31−4ζ39−4ζ47−4ζ554ζ15+4ζ23+4ζ31+4ζ39+4ζ47+4ζ55000000000000−4ζ4−4ζ524ζ4+4ζ52−4ζ38−4ζ464ζ38+4ζ460000002ζ45+2ζ53−2ζ45−2ζ532ζ31+2ζ39−2ζ31−2ζ39000000000000−4ζ20−4ζ364ζ20+4ζ36−4ζ6−4ζ224ζ6+4ζ220000002ζ13+2ζ29−2ζ13−2ζ292ζ15+2ζ55−2ζ15−2ζ55000000000000−4ζ12−4ζ444ζ12+4ζ44−4ζ30−4ζ544ζ30+4ζ540000002ζ5+2ζ37−2ζ5−2ζ372ζ23+2ζ47−2ζ23−2ζ4700000000000000000000000000000000000000
χ1308-8−8i8i0000004ζ5+4ζ13+4ζ29+4ζ37+4ζ45+4ζ53−4ζ5−4ζ13−4ζ29−4ζ37−4ζ45−4ζ534ζ15+4ζ23+4ζ31+4ζ39+4ζ47+4ζ55−4ζ15−4ζ23−4ζ31−4ζ39−4ζ47−4ζ55000000000000−4ζ4−4ζ524ζ4+4ζ52−4ζ38−4ζ464ζ38+4ζ46000000−2ζ45−2ζ532ζ45+2ζ53−2ζ31−2ζ392ζ31+2ζ39000000000000−4ζ20−4ζ364ζ20+4ζ36−4ζ6−4ζ224ζ6+4ζ22000000−2ζ13−2ζ292ζ13+2ζ29−2ζ15−2ζ552ζ15+2ζ55000000000000−4ζ12−4ζ444ζ12+4ζ44−4ζ30−4ζ544ζ30+4ζ54000000−2ζ5−2ζ372ζ5+2ζ37−2ζ23−2ζ472ζ23+2ζ4700000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 56 (ζ56 = 1); i = ζ14.