Finite Group Databasebeta

← Group #72271638

Character table — Group #72271638

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222244888888888888888888888161616161616161632323232323211112222224488888888888888888888816161616161616163232323232321111222222448888888888888888888881616161616161616323232323232
order1222222222442222444444444444444442444444488888836666666661212666612121212121212121212121212121212126121212121212122424242424243666666666121266661212121212121212121212121212121212612121212121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ6111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111
χ7111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ8111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ911111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-11-1-11i−ii−i1-1i−ii−i11111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-11-1-11i−ii−i1-1i−ii−i11111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-11-1-11i−ii−i1-1i−ii−i
χ1011111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-1-111-1i−ii−i-11−ii−ii11111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-1-111-1i−ii−i-11−ii−ii11111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-1-111-1i−ii−i-11−ii−ii
χ1111111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-11-1-11−ii−ii1-1−ii−ii11111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-11-1-11−ii−ii1-1−ii−ii11111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-11-1-11−ii−ii1-1−ii−ii
χ1211111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-1-111-1−ii−ii-11i−ii−i11111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-1-111-1−ii−ii-11i−ii−i11111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-1-111-1−ii−ii-11i−ii−i
χ1311111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-11-1-11i−i−ii-11i−i−ii11111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-11-1-11i−i−ii-11i−i−ii11111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-11-1-11i−i−ii-11i−i−ii
χ1411111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-1-111-1i−i−ii1-1−iii−i11111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-1-111-1i−i−ii1-1−iii−i11111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-1-111-1i−i−ii1-1−iii−i
χ1511111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-11-1-11−iii−i-11−iii−i11111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-11-1-11−iii−i-11−iii−i11111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-11-1-11−iii−i-11−iii−i
χ1611111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-1-111-1−iii−i1-1i−i−ii11111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-1-111-1−iii−i1-1i−i−ii11111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-1-111-1−iii−i1-1i−i−ii
χ172222222222222222-2-22-2-2-2-200000000-2-2000000000000002222222222222222-2-22-2-2-2-200000000-2-2000000000000002222222222222222-2-22-2-2-2-200000000-2-200000000000000
χ18222222222222-2-2-2-2-2-22222200000000-2-200000000000000222222222222-2-2-2-2-2-22222200000000-2-200000000000000222222222222-2-2-2-2-2-22222200000000-2-200000000000000
χ192222222222-2-200002-2-20000000022222-2000000-2-20000002222222222-2-200002-2-20000000022222-2000000-2-20000002222222222-2-200002-2-20000000022222-2000000-2-2000000
χ202222222222-2-200002-2-200000000-2-2-2-22-2000000220000002222222222-2-200002-2-200000000-2-2-2-22-2000000220000002222222222-2-200002-2-200000000-2-2-2-22-200000022000000
χ212222222222-2-20000-22-2000022220000-220000-2-2000000002222222222-2-20000-22-2000022220000-220000-2-2000000002222222222-2-20000-22-2000022220000-220000-2-200000000
χ222222222222-2-20000-22-20000-2-2-2-20000-22000022000000002222222222-2-20000-22-20000-2-2-2-20000-22000022000000002222222222-2-20000-22-20000-2-2-2-20000-2200002200000000
χ2322222-22-2-2-22222-2-2-2-2-2-2-22200000000220000000000000022222-22-2-2-22222-2-2-2-2-2-2-22200000000220000000000000022222-22-2-2-22222-2-2-2-2-2-2-222000000002200000000000000
χ2422222-22-2-2-222-2-222-2-2-222-2-200000000220000000000000022222-22-2-2-222-2-222-2-2-222-2-200000000220000000000000022222-22-2-2-222-2-222-2-2-222-2-2000000002200000000000000
χ2522222-22-2-2-2-2-200002-22000000002i2i−2i−2i-22000000−2i2i00000022222-22-2-2-2-2-200002-22000000002i2i−2i−2i-22000000−2i2i00000022222-22-2-2-2-2-200002-22000000002i2i−2i−2i-22000000−2i2i000000
χ2622222-22-2-2-2-2-200002-2200000000−2i−2i2i2i-220000002i−2i00000022222-22-2-2-2-2-200002-2200000000−2i−2i2i2i-220000002i−2i00000022222-22-2-2-2-2-200002-2200000000−2i−2i2i2i-220000002i−2i000000
χ2722222-22-2-2-2-2-20000-22200002i2i−2i−2i00002-20000−2i2i0000000022222-22-2-2-2-2-20000-22200002i2i−2i−2i00002-20000−2i2i0000000022222-22-2-2-2-2-20000-22200002i2i−2i−2i00002-20000−2i2i00000000
χ2822222-22-2-2-2-2-20000-2220000−2i−2i2i2i00002-200002i−2i0000000022222-22-2-2-2-2-20000-2220000−2i−2i2i2i00002-200002i−2i0000000022222-22-2-2-2-2-20000-2220000−2i−2i2i2i00002-200002i−2i00000000
χ294444-44-4-4-440000000000000000000000022-2-200000000004444-44-4-4-440000000000000000000000022-2-200000000004444-44-4-4-440000000000000000000000022-2-20000000000
χ304444-44-4-4-4400000000000000000000000-2-22200000000004444-44-4-4-4400000000000000000000000-2-22200000000004444-44-4-4-4400000000000000000000000-2-2220000000000
χ314444-4-4-444-4000000000000000000000002-22-200000000004444-4-4-444-4000000000000000000000002-22-200000000004444-4-4-444-4000000000000000000000002-22-20000000000
χ324444-4-4-444-400000000000000000000000-22-2200000000004444-4-4-444-400000000000000000000000-22-2200000000004444-4-4-444-400000000000000000000000-22-220000000000
χ3344-4-40004-400000000002i−2i2i−2i2-22-22i−2i2i−2i000000000000000044-4-40004-400000000002i−2i2i−2i2-22-22i−2i2i−2i000000000000000044-4-40004-400000000002i−2i2i−2i2-22-22i−2i2i−2i0000000000000000
χ3444-4-40004-400000000002i−2i2i−2i-22-22−2i2i−2i2i000000000000000044-4-40004-400000000002i−2i2i−2i-22-22−2i2i−2i2i000000000000000044-4-40004-400000000002i−2i2i−2i-22-22−2i2i−2i2i0000000000000000
χ3544-4-40004-40000000000−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000044-4-40004-40000000000−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000044-4-40004-40000000000−2i2i−2i2i2-22-2−2i2i−2i2i0000000000000000
χ3644-4-40004-40000000000−2i2i−2i2i-22-222i−2i2i−2i000000000000000044-4-40004-40000000000−2i2i−2i2i-22-222i−2i2i−2i000000000000000044-4-40004-40000000000−2i2i−2i2i-22-222i−2i2i−2i0000000000000000
χ3744-4-4000-4400000000002i−2i−2i2i2i−2i−2i2i-222-2000000000000000044-4-4000-4400000000002i−2i−2i2i2i−2i−2i2i-222-2000000000000000044-4-4000-4400000000002i−2i−2i2i2i−2i−2i2i-222-20000000000000000
χ3844-4-4000-4400000000002i−2i−2i2i−2i2i2i−2i2-2-22000000000000000044-4-4000-4400000000002i−2i−2i2i−2i2i2i−2i2-2-22000000000000000044-4-4000-4400000000002i−2i−2i2i−2i2i2i−2i2-2-220000000000000000
χ3944-4-4000-440000000000−2i2i2i−2i2i−2i−2i2i2-2-22000000000000000044-4-4000-440000000000−2i2i2i−2i2i−2i−2i2i2-2-22000000000000000044-4-4000-440000000000−2i2i2i−2i2i−2i−2i2i2-2-220000000000000000
χ4044-4-4000-440000000000−2i2i2i−2i−2i2i2i−2i-222-2000000000000000044-4-4000-440000000000−2i2i2i−2i−2i2i2i−2i-222-2000000000000000044-4-4000-440000000000−2i2i2i−2i−2i2i2i−2i-222-20000000000000000
χ414-4-44-4040004-4004-400000000000000000000000000000004-4-44-4040004-4004-400000000000000000000000000000004-4-44-4040004-4004-40000000000000000000000000000000
χ424-4-44-4040004-400-4400000000000000000000000000000004-4-44-4040004-400-4400000000000000000000000000000004-4-44-4040004-400-440000000000000000000000000000000
χ434-4-44-404000-444-40000000000000000000000000000000004-4-44-404000-444-40000000000000000000000000000000004-4-44-404000-444-4000000000000000000000000000000000
χ444-4-44-404000-44-440000000000000000000000000000000004-4-44-404000-44-440000000000000000000000000000000004-4-44-404000-44-44000000000000000000000000000000000
χ458-88-808000-800000000000000000000000000000000000008-88-808000-800000000000000000000000000000000000008-88-808000-80000000000000000000000000000000000000
χ468-88-80-8000800000000000000000000000000000000000008-88-80-8000800000000000000000000000000000000000008-88-80-800080000000000000000000000000000000000000
χ478-8-8880-800000000000000000000000000000000000000008-8-8880-800000000000000000000000000000000000000008-8-8880-80000000000000000000000000000000000000000
χ4811111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ49111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ5011111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ52111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ53111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ54111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111−1+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+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+i321−i321−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−i321+i321+i321+i321+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ55111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5611111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-11-1-11i−ii−i1-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11
χ5711111-11-1-1-11111-1-111-111-1-1ii−i−iii−i−i-1-1-111-1i−ii−i-11−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11
χ5811111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-11-1-11−ii−ii1-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11
χ5911111-11-1-1-11111-1-111-111-1-1−i−iii−i−iii-1-1-111-1−ii−ii-11i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11
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χ6211111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-11-1-11−iii−i-11−iii−i−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11
χ6311111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-1-111-1−iii−i1-1i−i−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11
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χ682222222222-2-20000-22-2000022220000-220000-2-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i30000−1+i3−1+i3−1+i3−1+i300001−i3−1+i300001−i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i30000−1−i3−1−i3−1−i3−1−i300001+i3−1−i300001+i31+i300000000
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χ10711111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-11-1-11i−i−ii-11i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7
χ10811111-11-1-1-111-1-11111-1-1-111ii−i−i−i−iii-1-1-111-1i−i−ii1-1−iii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7
χ10911111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-11-1-11−iii−i-11−iii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7
χ11011111-11-1-1-111-1-11111-1-1-111−i−iiiii−i−i-1-1-111-1−iii−i1-1i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7
χ1112222222222222222-2-22-2-2-2-200000000-2-200000000000000−1−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−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3000000001+i31+i300000000000000−1+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+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3000000001−i31−i300000000000000
χ112222222222222-2-2-2-2-2-22222200000000-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i300000000000000
χ1132222222222-2-200002-2-20000000022222-2000000-2-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i31+i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i30000001+i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i31−i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i30000001−i31−i3000000
χ1142222222222-2-200002-2-200000000-2-2-2-22-200000022000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i31+i3000000001+i31+i31+i31+i3−1−i31+i3000000−1−i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i31−i3000000001−i31−i31−i31−i3−1+i31−i3000000−1+i3−1+i3000000
χ1152222222222-2-20000-22-2000022220000-220000-2-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i30000−1−i3−1−i3−1−i3−1−i300001+i3−1−i300001+i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i30000−1+i3−1+i3−1+i3−1+i300001−i3−1+i300001−i31−i300000000
χ1162222222222-2-20000-22-20000-2-2-2-20000-2200002200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i300001+i31+i31+i31+i300001+i3−1−i30000−1−i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i300001−i31−i31−i31−i300001−i3−1+i30000−1+i3−1+i300000000
χ11722222-22-2-2-22222-2-2-2-2-2-2-222000000002200000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i300000000−1−i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i300000000−1+i3−1+i300000000000000
χ11822222-22-2-2-222-2-222-2-2-222-2-2000000002200000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i300000000−1−i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i300000000−1+i3−1+i300000000000000
χ11922222-22-2-2-2-2-200002-22000000002i2i−2i−2i-22000000−2i2i000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i30000−1−i31+i3−1−i3000000002ζ112ζ11−2ζ11−2ζ111+i3−1−i3000000−2ζ112ζ11000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i30000−1+i31−i3−1+i3000000002ζ72ζ7−2ζ7−2ζ71−i3−1+i3000000−2ζ72ζ7000000
χ12022222-22-2-2-2-2-200002-2200000000−2i−2i2i2i-220000002i−2i000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i30000−1−i31+i3−1−i300000000−2ζ11−2ζ112ζ112ζ111+i3−1−i30000002ζ11−2ζ11000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i30000−1+i31−i3−1+i300000000−2ζ7−2ζ72ζ72ζ71−i3−1+i30000002ζ7−2ζ7000000
χ12122222-22-2-2-2-2-20000-22200002i2i−2i−2i00002-20000−2i2i00000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i300001+i3−1−i3−1−i300002ζ112ζ11−2ζ11−2ζ110000−1−i31+i30000−2ζ112ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i300001−i3−1+i3−1+i300002ζ72ζ7−2ζ7−2ζ70000−1+i31−i30000−2ζ72ζ700000000
χ12222222-22-2-2-2-2-20000-2220000−2i−2i2i2i00002-200002i−2i00000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i300001+i3−1−i3−1−i30000−2ζ11−2ζ112ζ112ζ110000−1−i31+i300002ζ11−2ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i300001−i3−1+i3−1+i30000−2ζ7−2ζ72ζ72ζ70000−1+i31−i300002ζ7−2ζ700000000
χ1234444-44-4-4-440000000000000000000000022-2-20000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000000−1−i3−1−i31+i31+i30000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000000−1+i3−1+i31−i31−i30000000000
χ1244444-44-4-4-4400000000000000000000000-2-2220000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3000000000000000000000001+i31+i3−1−i3−1−i30000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3000000000000000000000001−i31−i3−1+i3−1+i30000000000
χ1254444-4-4-444-4000000000000000000000002-22-20000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000000−1−i31+i3−1−i31+i30000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000000−1+i31−i3−1+i31−i30000000000
χ1264444-4-4-444-400000000000000000000000-22-220000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000001+i3−1−i31+i3−1−i30000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000001−i3−1+i31−i3−1+i30000000000
χ12744-4-40004-400000000002i−2i2i−2i2-22-22i−2i2i−2i0000000000000000−2−2i3−2−2i32+2i32+2i3000−2−2i32+2i300000000002ζ11−2ζ112ζ11−2ζ11−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000000000000000−2+2i3−2+2i32−2i32−2i3000−2+2i32−2i300000000002ζ7−2ζ72ζ7−2ζ7−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000000000000000
χ12844-4-40004-400000000002i−2i2i−2i-22-22−2i2i−2i2i0000000000000000−2−2i3−2−2i32+2i32+2i3000−2−2i32+2i300000000002ζ11−2ζ112ζ11−2ζ111+i3−1−i31+i3−1−i3−2ζ112ζ11−2ζ112ζ110000000000000000−2+2i3−2+2i32−2i32−2i3000−2+2i32−2i300000000002ζ7−2ζ72ζ7−2ζ71−i3−1+i31−i3−1+i3−2ζ72ζ7−2ζ72ζ70000000000000000
χ12944-4-40004-40000000000−2i2i−2i2i2-22-2−2i2i−2i2i0000000000000000−2−2i3−2−2i32+2i32+2i3000−2−2i32+2i30000000000−2ζ112ζ11−2ζ112ζ11−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000000000000000−2+2i3−2+2i32−2i32−2i3000−2+2i32−2i30000000000−2ζ72ζ7−2ζ72ζ7−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000000000000000
χ13044-4-40004-40000000000−2i2i−2i2i-22-222i−2i2i−2i0000000000000000−2−2i3−2−2i32+2i32+2i3000−2−2i32+2i30000000000−2ζ112ζ11−2ζ112ζ111+i3−1−i31+i3−1−i32ζ11−2ζ112ζ11−2ζ110000000000000000−2+2i3−2+2i32−2i32−2i3000−2+2i32−2i30000000000−2ζ72ζ7−2ζ72ζ71−i3−1+i31−i3−1+i32ζ7−2ζ72ζ7−2ζ70000000000000000
χ13144-4-4000-4400000000002i−2i−2i2i2i−2i−2i2i-222-20000000000000000−2−2i3−2−2i32+2i32+2i30002+2i3−2−2i300000000002ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ111+i3−1−i3−1−i31+i30000000000000000−2+2i3−2+2i32−2i32−2i30002−2i3−2+2i300000000002ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ71−i3−1+i3−1+i31−i30000000000000000
χ13244-4-4000-4400000000002i−2i−2i2i−2i2i2i−2i2-2-220000000000000000−2−2i3−2−2i32+2i32+2i30002+2i3−2−2i300000000002ζ11−2ζ11−2ζ112ζ11−2ζ112ζ112ζ11−2ζ11−1−i31+i31+i3−1−i30000000000000000−2+2i3−2+2i32−2i32−2i30002−2i3−2+2i300000000002ζ7−2ζ7−2ζ72ζ7−2ζ72ζ72ζ7−2ζ7−1+i31−i31−i3−1+i30000000000000000
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χ13444-4-4000-440000000000−2i2i2i−2i−2i2i2i−2i-222-20000000000000000−2−2i3−2−2i32+2i32+2i30002+2i3−2−2i30000000000−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ111+i3−1−i3−1−i31+i30000000000000000−2+2i3−2+2i32−2i32−2i30002−2i3−2+2i30000000000−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ71−i3−1+i3−1+i31−i30000000000000000
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χ1398-88-808000-80000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i30−4−4i30004+4i30000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i30−4+4i30004−4i30000000000000000000000000000000000000
χ1408-88-80-800080000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i304+4i3000−4−4i30000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i304−4i3000−4+4i30000000000000000000000000000000000000
χ1418-8-8880-80000000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3−4−4i304+4i30000000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3−4+4i304−4i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.