Finite Group Databasebeta

← Group #11771971

Character table — Group #11771971

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222224444888888888888888888824242424242424241111222222222244448888888888888888888242424242424242411112222222222444488888888888888888882424242424242424
order1222223666666644444444412121212121212121212121212128888888836666636666666121212121212121212121212121212121212121212121224242424242424243666663666666612121212121212121212121212121212121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i11111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i11111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i
χ611111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iii11111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iii11111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iii
χ711111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii11111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii11111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii
χ811111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i11111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i11111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i
χ9222222222222222-2-22-20000220000-2-2-2-2000000000000222222222222222-2-22-20000220000-2-2-2-2000000000000222222222222222-2-22-20000220000-2-2-2-2000000000000
χ1022222222222222-222-2-20000-2-20000-2-22200000000000022222222222222-222-2-20000-2-20000-2-22200000000000022222222222222-222-2-20000-2-20000-2-222000000000000
χ11222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ12222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-11111-1-1-1-1111100000000222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-11111-1-1-1-1111100000000222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-11111-1-1-1-1111100000000
χ13222222-1-1-1-1-1-1-1-12-2-22-20000-1-1−i3−i3i3i31111−i3−i3i3i300000000222222-1-1-1-1-1-1-1-12-2-22-20000-1-1−i3−i3i3i31111−i3−i3i3i300000000222222-1-1-1-1-1-1-1-12-2-22-20000-1-1−i3−i3i3i31111−i3−i3i3i300000000
χ14222222-1-1-1-1-1-1-1-12-2-22-20000-1-1i3i3−i3−i31111i3i3−i3−i300000000222222-1-1-1-1-1-1-1-12-2-22-20000-1-1i3i3−i3−i31111i3i3−i3−i300000000222222-1-1-1-1-1-1-1-12-2-22-20000-1-1i3i3−i3−i31111i3i3−i3−i300000000
χ15222222-1-1-1-1-1-1-1-1-222-2-2000011−i3−i3i3i311-1-1i3i3−i3−i300000000222222-1-1-1-1-1-1-1-1-222-2-2000011−i3−i3i3i311-1-1i3i3−i3−i300000000222222-1-1-1-1-1-1-1-1-222-2-2000011−i3−i3i3i311-1-1i3i3−i3−i300000000
χ16222222-1-1-1-1-1-1-1-1-222-2-2000011i3i3−i3−i311-1-1−i3−i3i3i300000000222222-1-1-1-1-1-1-1-1-222-2-2000011i3i3−i3−i311-1-1−i3−i3i3i300000000222222-1-1-1-1-1-1-1-1-222-2-2000011i3i3−i3−i311-1-1−i3−i3i3i300000000
χ17222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-2111111-1-111-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-2111111-1-111-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-2111111-1-111-1-1-1-100000000
χ18222222-1-1-1-1-1-1-1-1-2-2-2-22-2-22211-1-1-1-1-1-111111100000000222222-1-1-1-1-1-1-1-1-2-2-2-22-2-22211-1-1-1-1-1-111111100000000222222-1-1-1-1-1-1-1-1-2-2-2-22-2-22211-1-1-1-1-1-111111100000000
χ192-22-22-2222-22-2-2-2200-2000002-20000000000002−22−200002-22-22-2222-22-2-2-2200-2000002-20000000000002−22−200002-22-22-2222-22-2-2-2200-2000002-20000000000002−22−20000
χ202-22-22-2222-22-2-2-2200-2000002-2000000000000−22−2200002-22-22-2222-22-2-2-2200-2000002-2000000000000−22−2200002-22-22-2222-22-2-2-2200-2000002-2000000000000−22−220000
χ212-22-22-2222-22-2-2-2-200200000-22000000000000−i2i2i2−i200002-22-22-2222-22-2-2-2-200200000-22000000000000−i2i2i2−i200002-22-22-2222-22-2-2-2-200200000-22000000000000−i2i2i2−i20000
χ222-22-22-2222-22-2-2-2-200200000-22000000000000i2−i2−i2i200002-22-22-2222-22-2-2-2-200200000-22000000000000i2−i2−i2i200002-22-22-2222-22-2-2-2-200200000-22000000000000i2−i2−i2i20000
χ232-22-2-222-2-2-2222-202i−2i000000000000002i−2i000000001−i−1+i1+i−1−i2-22-2-222-2-2-2222-202i−2i000000000000002i−2i000000001−i−1+i1+i−1−i2-22-2-222-2-2-2222-202i−2i000000000000002i−2i000000001−i−1+i1+i−1−i
χ242-22-2-222-2-2-2222-202i−2i000000000000002i−2i00000000−1+i1−i−1−i1+i2-22-2-222-2-2-2222-202i−2i000000000000002i−2i00000000−1+i1−i−1−i1+i2-22-2-222-2-2-2222-202i−2i000000000000002i−2i00000000−1+i1−i−1−i1+i
χ252-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i000000001+i−1−i1−i−1+i2-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i000000001+i−1−i1−i−1+i2-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i000000001+i−1−i1−i−1+i
χ262-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i00000000−1−i1+i−1+i1−i2-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i00000000−1−i1+i−1+i1−i2-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i00000000−1−i1+i−1+i1−i
χ274444-4-44-4-444-4-4400000000000000000000000000000004444-4-44-4-444-4-4400000000000000000000000000000004444-4-44-4-444-4-440000000000000000000000000000000
χ284444-4-4-222-2-222-2000000000000000−2i32i3000000000000004444-4-4-222-2-222-2000000000000000−2i32i3000000000000004444-4-4-222-2-222-2000000000000000−2i32i300000000000000
χ294444-4-4-222-2-222-20000000000000002i3−2i3000000000000004444-4-4-222-2-222-20000000000000002i3−2i3000000000000004444-4-4-222-2-222-20000000000000002i3−2i300000000000000
χ3044-4-4004004-400-400000002-2002-22-2000000000000000044-4-4004004-400-400000002-2002-22-2000000000000000044-4-4004004-400-400000002-2002-22-20000000000000000
χ3144-4-4004004-400-40000000-2200-22-22000000000000000044-4-4004004-400-40000000-2200-22-22000000000000000044-4-4004004-400-40000000-2200-22-220000000000000000
χ3244-4-400-2−2i32i3-22−2i32i3200000002-200−1−i31+i3−1+i31−i3000000000000000044-4-400-2−2i32i3-22−2i32i3200000002-200−1−i31+i3−1+i31−i3000000000000000044-4-400-2−2i32i3-22−2i32i3200000002-200−1−i31+i3−1+i31−i30000000000000000
χ3344-4-400-2−2i32i3-22−2i32i320000000-22001+i3−1−i31−i3−1+i3000000000000000044-4-400-2−2i32i3-22−2i32i320000000-22001+i3−1−i31−i3−1+i3000000000000000044-4-400-2−2i32i3-22−2i32i320000000-22001+i3−1−i31−i3−1+i30000000000000000
χ3444-4-400-22i3−2i3-222i3−2i3200000002-200−1+i31−i3−1−i31+i3000000000000000044-4-400-22i3−2i3-222i3−2i3200000002-200−1+i31−i3−1−i31+i3000000000000000044-4-400-22i3−2i3-222i3−2i3200000002-200−1+i31−i3−1−i31+i30000000000000000
χ3544-4-400-22i3−2i3-222i3−2i320000000-22001−i3−1+i31+i3−1−i3000000000000000044-4-400-22i3−2i3-222i3−2i320000000-22001−i3−1+i31+i3−1−i3000000000000000044-4-400-22i3−2i3-222i3−2i320000000-22001−i3−1+i31+i3−1−i30000000000000000
χ364-44-44-4-2-2-22-2222400-400000-22000000000000000000004-44-44-4-2-2-22-2222400-400000-22000000000000000000004-44-44-4-2-2-22-2222400-400000-2200000000000000000000
χ374-44-44-4-2-2-22-2222-4004000002-2000000000000000000004-44-44-4-2-2-22-2222-4004000002-2000000000000000000004-44-44-4-2-2-22-2222-4004000002-200000000000000000000
χ384-44-4-44-2222-2-2-2204i−4i00000000000000−2i2i0000000000004-44-4-44-2222-2-2-2204i−4i00000000000000−2i2i0000000000004-44-4-44-2222-2-2-2204i−4i00000000000000−2i2i000000000000
χ394-44-4-44-2222-2-2-220−4i4i000000000000002i−2i0000000000004-44-4-44-2222-2-2-220−4i4i000000000000002i−2i0000000000004-44-4-44-2222-2-2-220−4i4i000000000000002i−2i000000000000
χ404-4-4400400-4-4004000002-20000000000002-22-2000000004-4-4400400-4-4004000002-20000000000002-22-2000000004-4-4400400-4-4004000002-20000000000002-22-200000000
χ414-4-4400400-4-400400000-22000000000000-22-22000000004-4-4400400-4-400400000-22000000000000-22-22000000004-4-4400400-4-400400000-22000000000000-22-2200000000
χ424-4-4400-2−2i32i3222i3−2i3-2000002-2000000000000−1−i31+i3−1+i31−i3000000004-4-4400-2−2i32i3222i3−2i3-2000002-2000000000000−1−i31+i3−1+i31−i3000000004-4-4400-2−2i32i3222i3−2i3-2000002-2000000000000−1−i31+i3−1+i31−i300000000
χ434-4-4400-2−2i32i3222i3−2i3-200000-220000000000001+i3−1−i31−i3−1+i3000000004-4-4400-2−2i32i3222i3−2i3-200000-220000000000001+i3−1−i31−i3−1+i3000000004-4-4400-2−2i32i3222i3−2i3-200000-220000000000001+i3−1−i31−i3−1+i300000000
χ444-4-4400-22i3−2i322−2i32i3-2000002-2000000000000−1+i31−i3−1−i31+i3000000004-4-4400-22i3−2i322−2i32i3-2000002-2000000000000−1+i31−i3−1−i31+i3000000004-4-4400-22i3−2i322−2i32i3-2000002-2000000000000−1+i31−i3−1−i31+i300000000
χ454-4-4400-22i3−2i322−2i32i3-200000-220000000000001−i3−1+i31+i3−1−i3000000004-4-4400-22i3−2i322−2i32i3-200000-220000000000001−i3−1+i31+i3−1−i3000000004-4-4400-22i3−2i322−2i32i3-200000-220000000000001−i3−1+i31+i3−1−i300000000
χ46111111111111111111111111111111111111111111111−1+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+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+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−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−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−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
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ481111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ491111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5011111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ5111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iii−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
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χ5311111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i−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+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−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−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
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χ5522222222222222-222-2-20000-2-20000-2-222000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300001−i31−i300001−i31−i3−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300001+i31+i300001+i31+i3−1−i3−1−i3000000000000
χ56222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ57222222-1-1-1-1-1-1-1-122222-2-2-2-2-1-11111-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ58222222-1-1-1-1-1-1-1-12-2-22-20000-1-1−i3−i3i3i31111−i3−i3i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i31−i3−1+i31−i300001−i321−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i31+i3−1−i31+i300001+i321+i32−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000
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χ105222222-1-1-1-1-1-1-1-1-222-2-2000011−i3−i3i3i311-1-1i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i30000−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i30000−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000
χ106222222-1-1-1-1-1-1-1-1-222-2-2000011i3i3−i3−i311-1-1−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i30000−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i30000−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i3200000000
χ107222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-2111111-1-111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ108222222-1-1-1-1-1-1-1-1-2-2-2-22-2-22211-1-1-1-1-1-111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ1092-22-22-2222-22-2-2-2200-2000002-20000000000002−22−20000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3001+i300000−1−i31+i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3001−i300000−1+i31−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ1102-22-22-2222-22-2-2-2200-2000002-2000000000000−22−220000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3001+i300000−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3001−i300000−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ1112-22-22-2222-22-2-2-2-200200000-22000000000000−i2i2i2−i20000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i300−1−i3000001+i3−1−i3000000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i300−1+i3000001−i3−1+i3000000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ1122-22-22-2222-22-2-2-2-200200000-22000000000000i2−i2−i2i20000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i300−1−i3000001+i3−1−i3000000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i300−1+i3000001−i3−1+i3000000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ1132-22-2-222-2-2-2222-202i−2i000000000000002i−2i000000001−i−1+i1+i−1−i−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i302ζ22−2ζ22000000000000002ζ22−2ζ2200000000−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ22−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i302ζ14−2ζ14000000000000002ζ14−2ζ1400000000−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20
χ1142-22-2-222-2-2-2222-202i−2i000000000000002i−2i00000000−1+i1−i−1−i1+i−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i302ζ22−2ζ22000000000000002ζ22−2ζ2200000000ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i302ζ14−2ζ14000000000000002ζ14−2ζ1400000000ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20
χ1152-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i000000001+i−1−i1−i−1+i−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30−2ζ222ζ2200000000000000−2ζ222ζ2200000000−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30−2ζ142ζ1400000000000000−2ζ142ζ1400000000ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20
χ1162-22-2-222-2-2-2222-20−2i2i00000000000000−2i2i00000000−1−i1+i−1+i1−i−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30−2ζ222ζ2200000000000000−2ζ222ζ2200000000ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30−2ζ142ζ1400000000000000−2ζ142ζ1400000000−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20
χ1174444-4-44-4-444-4-440000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i30000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i30000000000000000000000000000000
χ1184444-4-4-222-2-222-2000000000000000−2i32i300000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3000000000000000−3+i33−i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000000003+i3−3−i300000000000000
χ1194444-4-4-222-2-222-20000000000000002i3−2i300000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000000003−i3−3+i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3000000000000000−3−i33+i300000000000000
χ12044-4-4004004-400-400000002-2002-22-20000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i300−2−2i32+2i3002+2i30000000−1−i31+i300−1−i31+i3−1−i31+i30000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i300−2+2i32−2i3002−2i30000000−1+i31−i300−1+i31−i3−1+i31−i30000000000000000
χ12144-4-4004004-400-40000000-2200-22-220000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i300−2−2i32+2i3002+2i300000001+i3−1−i3001+i3−1−i31+i3−1−i30000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i300−2+2i32−2i3002−2i300000001−i3−1+i3001−i3−1+i31−i3−1+i30000000000000000
χ12244-4-400-2−2i32i3-22−2i32i3200000002-200−1−i31+i3−1+i31−i30000000000000000−2−2i3−2−2i32+2i32+2i3001+i3−3+i33−i31+i3−1−i3−3+i33−i3−1−i30000000−1−i31+i300−1+i31−i32-20000000000000000−2+2i3−2+2i32−2i32−2i3001−i33+i3−3−i31−i3−1+i33+i3−3−i3−1+i30000000−1+i31−i3002-2−1−i31+i30000000000000000
χ12344-4-400-2−2i32i3-22−2i32i320000000-22001+i3−1−i31−i3−1+i30000000000000000−2−2i3−2−2i32+2i32+2i3001+i3−3+i33−i31+i3−1−i3−3+i33−i3−1−i300000001+i3−1−i3001−i3−1+i3-220000000000000000−2+2i3−2+2i32−2i32−2i3001−i33+i3−3−i31−i3−1+i33+i3−3−i3−1+i300000001−i3−1+i300-221+i3−1−i30000000000000000
χ12444-4-400-22i3−2i3-222i3−2i3200000002-200−1+i31−i3−1−i31+i30000000000000000−2−2i3−2−2i32+2i32+2i3001+i33−i3−3+i31+i3−1−i33−i3−3+i3−1−i30000000−1−i31+i3002-2−1+i31−i30000000000000000−2+2i3−2+2i32−2i32−2i3001−i3−3−i33+i31−i3−1+i3−3−i33+i3−1+i30000000−1+i31−i300−1−i31+i32-20000000000000000
χ12544-4-400-22i3−2i3-222i3−2i320000000-22001−i3−1+i31+i3−1−i30000000000000000−2−2i3−2−2i32+2i32+2i3001+i33−i3−3+i31+i3−1−i33−i3−3+i3−1−i300000001+i3−1−i300-221−i3−1+i30000000000000000−2+2i3−2+2i32−2i32−2i3001−i3−3−i33+i31−i3−1+i3−3−i33+i3−1+i300000001−i3−1+i3001+i3−1−i3-220000000000000000
χ1264-44-44-4-2-2-22-2222400-400000-2200000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−2−2i3002+2i3000001+i3−1−i300000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−2+2i3002−2i3000001−i3−1+i300000000000000000000
χ1274-44-44-4-2-2-22-2222-4004000002-200000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i32+2i300−2−2i300000−1−i31+i300000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i32−2i300−2+2i300000−1+i31−i300000000000000000000
χ1284-44-4-44-2222-2-2-2204i−4i00000000000000−2i2i000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i304ζ22−4ζ2200000000000000−2ζ222ζ22000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i304ζ14−4ζ1400000000000000−2ζ142ζ14000000000000
χ1294-44-4-44-2222-2-2-220−4i4i000000000000002i−2i000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i30−4ζ224ζ22000000000000002ζ22−2ζ22000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i30−4ζ144ζ14000000000000002ζ14−2ζ14000000000000
χ1304-4-4400400-4-4004000002-20000000000002-22-200000000−2−2i32+2i32+2i3−2−2i300−2−2i3002+2i32+2i300−2−2i300000−1−i31+i3000000000000−1−i31+i3−1−i31+i300000000−2+2i32−2i32−2i3−2+2i300−2+2i3002−2i32−2i300−2+2i300000−1+i31−i3000000000000−1+i31−i3−1+i31−i300000000
χ1314-4-4400400-4-400400000-22000000000000-22-2200000000−2−2i32+2i32+2i3−2−2i300−2−2i3002+2i32+2i300−2−2i3000001+i3−1−i30000000000001+i3−1−i31+i3−1−i300000000−2+2i32−2i32−2i3−2+2i300−2+2i3002−2i32−2i300−2+2i3000001−i3−1+i30000000000001−i3−1+i31−i3−1+i300000000
χ1324-4-4400-2−2i32i3222i3−2i3-2000002-2000000000000−1−i31+i3−1+i31−i300000000−2−2i32+2i32+2i3−2−2i3001+i3−3+i33−i3−1−i3−1−i33−i3−3+i31+i300000−1−i31+i3000000000000−1+i31−i32-200000000−2+2i32−2i32−2i3−2+2i3001−i33+i3−3−i3−1+i3−1+i3−3−i33+i31−i300000−1+i31−i30000000000002-2−1−i31+i300000000
χ1334-4-4400-2−2i32i3222i3−2i3-200000-220000000000001+i3−1−i31−i3−1+i300000000−2−2i32+2i32+2i3−2−2i3001+i3−3+i33−i3−1−i3−1−i33−i3−3+i31+i3000001+i3−1−i30000000000001−i3−1+i3-2200000000−2+2i32−2i32−2i3−2+2i3001−i33+i3−3−i3−1+i3−1+i3−3−i33+i31−i3000001−i3−1+i3000000000000-221+i3−1−i300000000
χ1344-4-4400-22i3−2i322−2i32i3-2000002-2000000000000−1+i31−i3−1−i31+i300000000−2−2i32+2i32+2i3−2−2i3001+i33−i3−3+i3−1−i3−1−i3−3+i33−i31+i300000−1−i31+i30000000000002-2−1+i31−i300000000−2+2i32−2i32−2i3−2+2i3001−i3−3−i33+i3−1+i3−1+i33+i3−3−i31−i300000−1+i31−i3000000000000−1−i31+i32-200000000
χ1354-4-4400-22i3−2i322−2i32i3-200000-220000000000001−i3−1+i31+i3−1−i300000000−2−2i32+2i32+2i3−2−2i3001+i33−i3−3+i3−1−i3−1−i3−3+i33−i31+i3000001+i3−1−i3000000000000-221−i3−1+i300000000−2+2i32−2i32−2i3−2+2i3001−i3−3−i33+i3−1+i3−1+i33+i3−3−i31−i3000001−i3−1+i30000000000001+i3−1−i3-2200000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.