Finite Group Databasebeta

← Group #72310340

Character table — Group #72310340

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1344466666612121212121212121212121212121212126464646464646464134446666661212121212121212121212121212121212646464646464646413444666666121212121212121212121212121212121264646464646464641344466666612121212121212121212121212121212126464646464646464
order1222222224422222244444444444336666664444444444444444444444444444121212121212121222222222244222222444444444446666666644444444444444444444444444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1
χ5111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ6111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ711-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-111-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-111-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-111-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-1
χ811-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ911-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1011-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-11-1-1111-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-11-1-1111-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-11-1-1111-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-11-1-11
χ1111-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ1211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ133333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-13-1-13-1000000003333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-13-1-13-1000000003333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-13-1-13-1000000003333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-13-1-13-100000000
χ1433333-1-133-1-1-13-1-1-1-1-1-1-13-1-1-1-1-1-130000000033333-1-133-1-1-13-1-1-1-1-1-1-13-1-1-1-1-1-130000000033333-1-133-1-1-13-1-1-1-1-1-1-13-1-1-1-1-1-130000000033333-1-133-1-1-13-1-1-1-1-1-1-13-1-1-1-1-1-1300000000
χ1533333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-10000000033333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-10000000033333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-10000000033333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-100000000
χ1633333-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-1-10000000033333-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-1-10000000033333-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-1-10000000033333-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-1-100000000
χ1733333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-10000000033333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-10000000033333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-10000000033333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-100000000
χ18333-3-33311113-1-1111-1-1-1-1-1-1-311-3100000000333-3-33311113-1-1111-1-1-1-1-1-1-311-3100000000333-3-33311113-1-1111-1-1-1-1-1-1-311-3100000000333-3-33311113-1-1111-1-1-1-1-1-1-311-3100000000
χ19333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000
χ20333-3-3-1-11111-1-1-11-31-13-1-13-11-311100000000333-3-3-1-11111-1-1-11-31-13-1-13-11-311100000000333-3-3-1-11111-1-1-11-31-13-1-13-11-311100000000333-3-3-1-11111-1-1-11-31-13-1-13-11-311100000000
χ21333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000
χ22333-3-3-1-1-3-311-13-1111-1-1-13-1-11111-300000000333-3-3-1-1-3-311-13-1111-1-1-13-1-11111-300000000333-3-3-1-1-3-311-13-1111-1-1-13-1-11111-300000000333-3-3-1-1-3-311-13-1111-1-1-13-1-11111-300000000
χ2333-33-3113311-131-111-1-1-1-311-1-1-11-30000000033-33-3113311-131-111-1-1-1-311-1-1-11-30000000033-33-3113311-131-111-1-1-1-311-1-1-11-30000000033-33-3113311-131-111-1-1-1-311-1-1-11-300000000
χ2433-33-311-1-111-1-11-11-3-1-1311-3-1-13110000000033-33-311-1-111-1-11-11-3-1-1311-3-1-13110000000033-33-311-1-111-1-11-11-3-1-1311-3-1-13110000000033-33-311-1-111-1-11-11-3-1-1311-3-1-131100000000
χ2533-33-311-1-111-1-11-1-31-13-11-31-13-1110000000033-33-311-1-111-1-11-1-31-13-11-31-13-1110000000033-33-311-1-111-1-11-1-31-13-11-31-13-1110000000033-33-311-1-111-1-11-1-31-13-11-31-13-11100000000
χ2633-33-311-1-1-3-3-1-1-33113-1-1111-1-1-1110000000033-33-311-1-1-3-3-1-1-33113-1-1111-1-1-1110000000033-33-311-1-1-3-3-1-1-33113-1-1111-1-1-1110000000033-33-311-1-1-3-3-1-1-33113-1-1111-1-1-11100000000
χ2733-33-3-3-3-1-1113-11-111-1-1-11113-1-1-310000000033-33-3-3-3-1-1113-11-111-1-1-11113-1-1-310000000033-33-3-3-3-1-1113-11-111-1-1-11113-1-1-310000000033-33-3-3-3-1-1113-11-111-1-1-11113-1-1-3100000000
χ2833-3-33111133-1-1-3-3-1-13-1-1111111-1-10000000033-3-33111133-1-1-3-3-1-13-1-1111111-1-10000000033-3-33111133-1-1-3-3-1-13-1-1111111-1-10000000033-3-33111133-1-1-3-3-1-13-1-1111111-1-100000000
χ2933-3-331111-1-1-1-1113-1-13-11-311-31-1-10000000033-3-331111-1-1-1-1113-1-13-11-311-31-1-10000000033-3-331111-1-1-1-1113-1-13-11-311-31-1-10000000033-3-331111-1-1-1-1113-1-13-11-311-31-1-100000000
χ3033-3-331111-1-1-1-111-13-1-1311-311-3-1-10000000033-3-331111-1-1-1-111-13-1-1311-311-3-1-10000000033-3-331111-1-1-1-111-13-1-1311-311-3-1-10000000033-3-331111-1-1-1-111-13-1-1311-311-3-1-100000000
χ3133-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-130000000033-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-130000000033-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-130000000033-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-1300000000
χ3233-3-33-3-311-1-13-111-1-1-1-1-1111-3113-10000000033-3-33-3-311-1-13-111-1-1-1-1-1111-3113-10000000033-3-33-3-311-1-13-111-1-1-1-1-1111-3113-10000000033-3-33-3-311-1-13-111-1-1-1-1-1111-3113-100000000
χ3312-40004-44-44-4000000000000000000000000012-40004-44-44-4000000000000000000000000012-40004-44-44-4000000000000000000000000012-40004-44-44-40000000000000000000000000
χ3412-40004-4-44-44000000000000000000000000012-40004-4-44-44000000000000000000000000012-40004-4-44-44000000000000000000000000012-40004-4-44-440000000000000000000000000
χ3512-4000-444-4-44000000000000000000000000012-4000-444-4-44000000000000000000000000012-4000-444-4-44000000000000000000000000012-4000-444-4-440000000000000000000000000
χ3612-4000-44-444-4000000000000000000000000012-4000-44-444-4000000000000000000000000012-4000-44-444-4000000000000000000000000012-4000-44-444-40000000000000000000000000
χ37111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ381111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32iiiiiiiiiiiiiiiiiiiiiiiiiiiiζ7ζ11ζ7ζ7ζ7ζ11ζ11ζ11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11
χ391111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32iiiiiiiiiiiiiiiiiiiiiiiiiiiiζ11ζ7ζ11ζ11ζ11ζ7ζ7ζ7-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7
χ40111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1iii−i−iii−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iiii−i−ii−i−i-1-1-111-1-11111-1-1-1111-1-1-1-1-1-111111-1-1-111-111−i−i−iii−i−iiiii−i−i−iiii−i−i−i−i−i−iiiiii−i−i−iii−iii
χ41111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32iii−i−iii−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iζ7ζ11ζ7−ζ7−ζ7ζ11−ζ11−ζ11-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32−i−i−iii−i−iiiii−i−i−iiii−i−i−i−i−i−iiiiii−ζ7−ζ11−ζ7ζ7ζ7−ζ11ζ11ζ11
χ42111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32iii−i−iii−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iζ11ζ7ζ11−ζ11−ζ11ζ7−ζ7−ζ7-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32−i−i−iii−i−iiiii−i−i−iiii−i−i−i−i−i−iiiiii−ζ11−ζ7−ζ11ζ11ζ11−ζ7ζ7ζ7
χ4311-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-1ii−ii−i−i−iii−i−iii−ii−i−iiii−i−i−iiii−i−iii−ii−i−ii−i-1-11-1111-1-111-1-11-111-1-1-1111-1-1-111-1-11-111-11−i−ii−iiii−i−iii−i−ii−iii−i−i−iiii−i−i−iii−i−ii−iii−ii
χ4411-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32ii−ii−i−i−iii−i−iii−ii−i−iiii−i−i−iiii−i−iζ7ζ11−ζ7ζ7−ζ7−ζ11ζ11−ζ11-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−i−ii−iiii−i−iii−i−ii−iii−i−i−iiii−i−i−iii−ζ7−ζ11ζ7−ζ7ζ7ζ11−ζ11ζ11
χ4511-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32ii−ii−i−i−iii−i−iii−ii−i−iiii−i−i−iiii−i−iζ11ζ7−ζ11ζ11−ζ11−ζ7ζ7−ζ7-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−i−ii−iiii−i−iii−i−ii−iii−i−i−iiii−i−i−iii−ζ11−ζ7ζ11−ζ11ζ11ζ7−ζ7ζ7
χ4611-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-11-1-11ii−i−ii−i−i−i−iiiii−i−iiiiii−i−i−i−i−i−iiiii−i−ii−i−ii-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-111-1−i−iii−iiiii−i−i−i−iii−i−i−i−i−iiiiiii−i−i−i−iii−iii−i
χ4711-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32ii−i−ii−i−i−i−iiiii−i−iiiiii−i−i−i−i−i−iiiζ7ζ11−ζ7−ζ7ζ7−ζ11−ζ11ζ11-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−i−iii−iiiii−i−i−i−iii−i−i−i−i−iiiiiii−i−i−ζ7−ζ11ζ7ζ7−ζ7ζ11ζ11−ζ11
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χ73111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ741111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32
χ751111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32
χ76111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1-1-1-111-1-11111-1-1-1111-1-1-1-1-1-111111-1-1-111-111111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1-1-1-111-1-11111-1-1-1111-1-1-1-1-1-111111-1-1-111-111
χ77111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ78111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ7911-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-1-1-11-1111-1-111-1-11-111-1-1-1111-1-1-111-1-11-111-1111-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-1-1-11-1111-1-111-1-11-111-1-1-1111-1-1-111-1-11-111-11
χ8011-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ8111-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3211-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
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χ8411-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3211-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
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χ8733333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-100000000-3-3-3-3-31111-3-311-3-311-311111111110000000033333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-100000000-3-3-3-3-31111-3-311-3-311-3111111111100000000
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χ8933333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-100000000-3-3-3-3-311111111111-311-311-311-3110000000033333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-100000000-3-3-3-3-311111111111-311-311-311-31100000000
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χ91333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000-3-3-33311-1-1-1-1111-1-1311-311-3-1-13-1-100000000333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000-3-3-33311-1-1-1-1111-1-1311-311-3-1-13-1-100000000
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χ93333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000-3-3-33311-1-13311-33-1-1-311111-1-1-1-1-100000000333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000-3-3-33311-1-13311-33-1-1-311111-1-1-1-1-100000000
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χ9833-33-311-1-1-3-3-1-1-33113-1-1111-1-1-11100000000-3-33-33-1-11133113-3-1-1-311-1-1-1111-1-10000000033-33-311-1-1-3-3-1-1-33113-1-1111-1-1-11100000000-3-33-33-1-11133113-3-1-1-311-1-1-1111-1-100000000
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χ10033-3-33111133-1-1-3-3-1-13-1-1111111-1-100000000-3-333-3-1-1-1-1-3-3113311-311-1-1-1-1-1-1110000000033-3-33111133-1-1-3-3-1-13-1-1111111-1-100000000-3-333-3-1-1-1-1-3-3113311-311-1-1-1-1-1-11100000000
χ10133-3-331111-1-1-1-1113-1-13-11-311-31-1-100000000-3-333-3-1-1-1-11111-1-1-311-31-13-1-13-1110000000033-3-331111-1-1-1-1113-1-13-11-311-31-1-100000000-3-333-3-1-1-1-11111-1-1-311-31-13-1-13-11100000000
χ10233-3-331111-1-1-1-111-13-1-1311-311-3-1-100000000-3-333-3-1-1-1-11111-1-11-311-3-1-13-1-13110000000033-3-331111-1-1-1-111-13-1-1311-311-3-1-100000000-3-333-3-1-1-1-11111-1-11-311-3-1-13-1-131100000000
χ10333-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-1300000000-3-333-3-1-133111-3-1-1111113-1-1-1-1-11-30000000033-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-1300000000-3-333-3-1-133111-3-1-1111113-1-1-1-1-11-300000000
χ10433-3-33-3-311-1-13-111-1-1-1-1-1111-3113-100000000-3-333-333-1-111-31-1-111111-1-1-13-1-1-310000000033-3-33-3-311-1-13-111-1-1-1-1-1111-3113-100000000-3-333-333-1-111-31-1-111111-1-1-13-1-1-3100000000
χ10512-40004-44-44-40000000000000000000000000-124000-44-44-44000000000000000000000000012-40004-44-44-40000000000000000000000000-124000-44-44-440000000000000000000000000
χ10612-40004-4-44-440000000000000000000000000-124000-444-44-4000000000000000000000000012-40004-4-44-440000000000000000000000000-124000-444-44-40000000000000000000000000
χ10712-4000-444-4-440000000000000000000000000-1240004-4-444-4000000000000000000000000012-4000-444-4-440000000000000000000000000-1240004-4-444-40000000000000000000000000
χ10812-4000-44-444-40000000000000000000000000-1240004-44-4-44000000000000000000000000012-4000-44-444-40000000000000000000000000-1240004-44-4-440000000000000000000000000
χ109111111111111111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
χ1101111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32iiiiiiiiiiiiiiiiiiiiiiiiiiiiζ7ζ11ζ7ζ7ζ7ζ11ζ11ζ11
χ1111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32iiiiiiiiiiiiiiiiiiiiiiiiiiiiζ11ζ7ζ11ζ11ζ11ζ7ζ7ζ7
χ112111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1111-1-11-1-1−i−i−iii−i−iiiii−i−i−iiii−i−i−i−i−i−iiiiii−i−i−iii−iii-1-1-111-1-11111-1-1-1111-1-1-1-1-1-111111-1-1-111-111iii−i−iii−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iiii−i−ii−i−i
χ113111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−i−i−iii−i−iiiii−i−i−iiii−i−i−i−i−i−iiiiii−ζ7−ζ11−ζ7ζ7ζ7−ζ11ζ11ζ11-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32iii−i−iii−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iζ7ζ11ζ7−ζ7−ζ7ζ11−ζ11−ζ11
χ114111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−i−i−iii−i−iiiii−i−i−iiii−i−i−i−i−i−iiiiii−ζ11−ζ7−ζ11ζ11ζ11−ζ7ζ7ζ7-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1111111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32iii−i−iii−i−i−i−iiii−i−i−iiiiiii−i−i−i−i−iζ11ζ7ζ11−ζ11−ζ11ζ7−ζ7−ζ7
χ11511-11-1-1-111-1-111-11-1-1111-1-1-1111-1-111-11-1-11-1−i−ii−iiii−i−iii−i−ii−iii−i−i−iiii−i−i−iii−i−ii−iii−ii-1-11-1111-1-111-1-11-111-1-1-1111-1-1-111-1-11-111-11ii−ii−i−i−iii−i−iii−ii−i−iiii−i−i−iiii−i−iii−ii−i−ii−i
χ11611-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−i−ii−iiii−i−iii−i−ii−iii−i−i−iiii−i−i−iii−ζ7−ζ11ζ7−ζ7ζ7ζ11−ζ11ζ11-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32ii−ii−i−i−iii−i−iii−ii−i−iiii−i−i−iiii−i−iζ7ζ11−ζ7ζ7−ζ7−ζ11ζ11−ζ11
χ11711-11-1-1-111-1-111-11-1-1111-1-1-1111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−i−ii−iiii−i−iii−i−ii−iii−i−i−iiii−i−i−iii−ζ11−ζ7ζ11−ζ11ζ11ζ7−ζ7ζ7-1-11-1111-1-111-1-11-111-1-1-1111-1-1-1111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32ii−ii−i−i−iii−i−iii−ii−i−iiii−i−i−iiii−i−iζ11ζ7−ζ11ζ11−ζ11−ζ7ζ7−ζ7
χ11811-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-11-1-11−i−iii−iiiii−i−i−i−iii−i−i−i−i−iiiiiii−i−i−i−iii−iii−i-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-111-1ii−i−ii−i−i−i−iiiii−i−iiiiii−i−i−i−i−i−iiiii−i−ii−i−ii
χ11911-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−i−iii−iiiii−i−i−i−iii−i−i−i−i−iiiiiii−i−i−ζ7−ζ11ζ7ζ7−ζ7ζ11ζ11−ζ11-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ii−i−ii−i−i−i−iiiii−i−iiiiii−i−i−i−i−i−iiiζ7ζ11−ζ7−ζ7ζ7−ζ11−ζ11ζ11
χ12011-1-11-1-1-1-11111-1-111111-1-1-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−i−iii−iiiii−i−i−i−iii−i−i−i−i−iiiiiii−i−i−ζ11−ζ7ζ11ζ11−ζ11ζ7ζ7−ζ7-1-111-11111-1-1-1-111-1-1-1-1-1111111-1-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ii−i−ii−i−i−i−iiiii−i−iiiiii−i−i−i−i−i−iiiζ11ζ7−ζ11−ζ11ζ11−ζ7−ζ7ζ7
χ1213333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-13-1-13-100000000−3i−3i−3i−3i−3i−3i−3iiiii−3iiiiiiiiiiii−3iii−3ii00000000-3-3-3-3-3-3-31111-311111111111-311-31000000003i3i3i3i3i3i3i−i−i−i−i3i−i−i−i−i−i−i−i−i−i−i−i3i−i−i3i−i00000000
χ12233333-1-133-1-1-13-1-1-1-1-1-1-13-1-1-1-1-1-1300000000−3i−3i−3i−3i−3iii−3i−3iiii−3iiiiiiii−3iiiiiii−3i00000000-3-3-3-3-311-3-3111-31111111-3111111-3000000003i3i3i3i3i−i−i3i3i−i−i−i3i−i−i−i−i−i−i−i3i−i−i−i−i−i−i3i00000000
χ12333333-1-1-1-133-1-133-1-13-1-1-1-1-1-1-1-1-1-100000000−3i−3i−3i−3i−3iiiii−3i−3iii−3i−3iii−3iiiiiiiiiii00000000-3-3-3-3-31111-3-311-3-311-31111111111000000003i3i3i3i3i−i−i−i−i3i3i−i−i3i3i−i−i3i−i−i−i−i−i−i−i−i−i−i00000000
χ12433333-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-1-100000000−3i−3i−3i−3i−3iiiiiiiiiii−3iii−3iii−3iii−3iiii00000000-3-3-3-3-31111111111-311-311-311-3111000000003i3i3i3i3i−i−i−i−i−i−i−i−i−i−i3i−i−i3i−i−i3i−i−i3i−i−i−i00000000
χ12533333-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-13-1-100000000−3i−3i−3i−3i−3iiiiiiiiiiii−3iii−3iii−3iii−3iii00000000-3-3-3-3-311111111111-311-311-311-311000000003i3i3i3i3i−i−i−i−i−i−i−i−i−i−i−i3i−i−i3i−i−i3i−i−i3i−i−i00000000
χ126333-3-33311113-1-1111-1-1-1-1-1-1-311-3100000000−3i−3i−3i3i3i−3i−3i−i−i−i−i−3iii−i−i−iiiiiii3i−i−i3i−i00000000-3-3-333-3-3-1-1-1-1-311-1-1-11111113-1-13-1000000003i3i3i−3i−3i3i3iiiii3i−i−iiii−i−i−i−i−i−i−3iii−3ii00000000
χ127333-3-3-1-11111-1-1-111-3-1-13-1-1311-31100000000−3i−3i−3i3i3iii−i−i−i−iiii−i−i3iii−3iii−3i−i−i3i−i−i00000000-3-3-33311-1-1-1-1111-1-1311-311-3-1-13-1-1000000003i3i3i−3i−3i−i−iiiii−i−i−iii−3i−i−i3i−i−i3iii−3iii00000000
χ128333-3-3-1-11111-1-1-11-31-13-1-13-11-311100000000−3i−3i−3i3i3iii−i−i−i−iiii−i3i−ii−3iii−3ii−i3i−i−i−i00000000-3-3-33311-1-1-1-1111-13-11-311-31-13-1-1-1000000003i3i3i−3i−3i−i−iiiii−i−i−ii−3ii−i3i−i−i3i−ii−3iiii00000000
χ129333-3-3-1-111-3-3-1-13-3113-1-1-1-1-11111100000000−3i−3i−3i3i3iii−i−i3i3iii−3i3i−i−i−3iiiiii−i−i−i−i−i00000000-3-3-33311-1-13311-33-1-1-311111-1-1-1-1-1000000003i3i3i−3i−3i−i−iii−3i−3i−i−i3i−3iii3i−i−i−i−i−iiiiii00000000
χ130333-3-3-1-1-3-311-13-1111-1-1-13-1-11111-300000000−3i−3i−3i3i3iii3i3i−i−ii−3ii−i−i−iiii−3iii−i−i−i−i3i00000000-3-3-3331133-1-11-31-1-1-1111-311-1-1-1-13000000003i3i3i−3i−3i−i−i−3i−3iii−i3i−iiii−i−i−i3i−i−iiiii−3i00000000
χ13133-33-3113311-131-111-1-1-1-311-1-1-11-300000000−3i−3i3i−3i3i−i−i−3i−3i−i−ii−3i−ii−i−iiii3i−i−iiii−i3i00000000-3-33-33-1-1-3-3-1-11-3-11-1-11113-1-1111-13000000003i3i−3i3i−3iii3i3iii−i3ii−iii−i−i−i−3iii−i−i−ii−3i00000000
χ13233-33-311-1-111-1-11-11-3-1-1311-3-1-131100000000−3i−3i3i−3i3i−i−iii−i−iii−ii−i3iii−3i−i−i3iii−3i−i−i00000000-3-33-33-1-111-1-111-11-1311-3-1-1311-3-1-1000000003i3i−3i3i−3iii−i−iii−i−ii−ii−3i−i−i3iii−3i−i−i3iii00000000
χ13333-33-311-1-111-1-11-1-31-13-11-31-13-11100000000−3i−3i3i−3i3i−i−iii−i−iii−ii3i−ii−3ii−i3i−ii−3ii−i−i00000000-3-33-33-1-111-1-111-113-11-31-13-11-31-1-1000000003i3i−3i3i−3iii−i−iii−i−ii−i−3ii−i3i−ii−3ii−i3i−iii00000000
χ13433-33-311-1-1-3-3-1-1-33113-1-1111-1-1-11100000000−3i−3i3i−3i3i−i−iii3i3iii3i−3i−i−i−3iii−i−i−iiii−i−i00000000-3-33-33-1-11133113-3-1-1-311-1-1-1111-1-1000000003i3i−3i3i−3iii−i−i−3i−3i−i−i−3i3iii3i−i−iiii−i−i−iii00000000
χ13533-33-3-3-3-1-1113-11-111-1-1-11113-1-1-3100000000−3i−3i3i−3i3i3i3iii−i−i−3ii−ii−i−iiii−i−i−i−3iii3i−i00000000-3-33-333311-1-1-31-11-1-1111-1-1-1-3113-1000000003i3i−3i3i−3i−3i−3i−i−iii3i−ii−iii−i−i−iiii3i−i−i−3ii00000000
χ13633-3-33111133-1-1-3-3-1-13-1-1111111-1-100000000−3i−3i3i3i−3i−i−i−i−i−3i−3iii3i3iii−3iii−i−i−i−i−i−iii00000000-3-333-3-1-1-1-1-3-3113311-311-1-1-1-1-1-111000000003i3i−3i−3i3iiiii3i3i−i−i−3i−3i−i−i3i−i−iiiiiii−i−i00000000
χ13733-3-331111-1-1-1-1113-1-13-11-311-31-1-100000000−3i−3i3i3i−3i−i−i−i−iiiii−i−i−3iii−3ii−i3i−i−i3i−iii00000000-3-333-3-1-1-1-11111-1-1-311-31-13-1-13-111000000003i3i−3i−3i3iiiii−i−i−i−iii3i−i−i3i−ii−3iii−3ii−i−i00000000
χ13833-3-331111-1-1-1-111-13-1-1311-311-3-1-100000000−3i−3i3i3i−3i−i−i−i−iiiii−i−ii−3iii−3i−i−i3i−i−i3iii00000000-3-333-3-1-1-1-11111-1-11-311-3-1-13-1-1311000000003i3i−3i−3i3iiiii−i−i−i−iii−i3i−i−i3iii−3iii−3i−i−i00000000
χ13933-3-3311-3-3-1-1-1311-1-1-1-1-1-311111-1300000000−3i−3i3i3i−3i−i−i3i3iiii−3i−i−iiiiii3i−i−i−i−i−ii−3i00000000-3-333-3-1-133111-3-1-1111113-1-1-1-1-11-3000000003i3i−3i−3i3iii−3i−3i−i−i−i3iii−i−i−i−i−i−3iiiiii−i3i00000000
χ14033-3-33-3-311-1-13-111-1-1-1-1-1111-3113-100000000−3i−3i3i3i−3i3i3i−i−iii−3ii−i−iiiiii−i−i−i3i−i−i−3ii00000000-3-333-333-1-111-31-1-111111-1-1-13-1-1-31000000003i3i−3i−3i3i−3i−3iii−i−i3i−iii−i−i−i−i−iiii−3iii3i−i00000000
χ14112-40004-44-44-40000000000000000000000000−12i4i000−4i4i−4i4i−4i4i0000000000000000000000000-124000-44-44-44000000000000000000000000012i−4i0004i−4i4i−4i4i−4i0000000000000000000000000
χ14212-40004-4-44-440000000000000000000000000−12i4i000−4i4i4i−4i4i−4i0000000000000000000000000-124000-444-44-4000000000000000000000000012i−4i0004i−4i−4i4i−4i4i0000000000000000000000000
χ14312-4000-444-4-440000000000000000000000000−12i4i0004i−4i−4i4i4i−4i0000000000000000000000000-1240004-4-444-4000000000000000000000000012i−4i000−4i4i4i−4i−4i4i0000000000000000000000000
χ14412-4000-44-444-40000000000000000000000000−12i4i0004i−4i4i−4i−4i4i0000000000000000000000000-1240004-44-4-44000000000000000000000000012i−4i000−4i4i−4i4i4i−4i0000000000000000000000000

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