Finite Group Databasebeta

← Group #13147319

Character table — Group #13147319

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111111111111111111112222222222229999999999999999999999991212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818
order122233444466666612121212121212124444121212121212121222224444666666661212121212121212336666661212121212121212121212121212121212121212121212124444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i
χ9111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i−i−iii−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−iiiii−i−iii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1811-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i-11-11−ii−ii-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ1911-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i-11-11−ii−ii1-11-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1
χ2011-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii1-11-1i−ii−i-11-11−i−iii−i−iii−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111-1-111
χ2111-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ2211-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii-11-11i−ii−i-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ2311-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i1-11-1−ii−ii-11-11ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111
χ2411-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−ii-11-11i−ii−i1-11-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-1
χ2511-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11i−i−ii1-1-11i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ2611-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1−iii−i-111-1−iii−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ2711-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−ii-111-1−iii−i1-1-11−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111
χ2811-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i1-1-11i−i−ii-111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1
χ2911-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11−iii−i1-1-11−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ3011-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1i−i−ii-111-1i−i−ii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ3111-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii1-1-11−iii−i-111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1
χ3211-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iii−i-111-1i−i−ii1-1-11ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111
χ332-22-2222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000002-22-22i−2i2i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ342-22-2222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000-22-22−2i2i−2i2i-2-222-2-222−2i−2i2i2i−2i−2i2i2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ352-22-222−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000002-22-2−2i2i−2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ362-22-222−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000-22-222i−2i2i−2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ372-2-22222i−2i−2i2i-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000002-2-222i−2i−2i2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ382-2-22222i−2i−2i2i-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000-222-2−2i2i2i−2i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ392-2-2222−2i2i2i−2i-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000002-2-22−2i2i2i−2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ402-2-2222−2i2i2i−2i-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000-222-22i−2i−2i2i-2-22222-2-22i2i−2i−2i−2i−2i2i2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ413333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000000000001111iiiiiiii−i−i−i−i−i−i−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11
χ423333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000000000001111−i−i−i−i−i−i−i−iiiiiiiii−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11
χ433333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-1-1-111111111111111111+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
χ443333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ453333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-33+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1+i321−i321+i321−i321+i321−i321+i321−i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11
χ463333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-33+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1+i321−i321+i321−i321+i321−i321+i321−i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11
χ473333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-33+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000000000000011111111-1-1-1-11111-1-1-1-1−1−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−i321−i321+i321−i321+i321−i321+i321−i321+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
χ483333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-33+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000000000000000000000000000001111-1-1-1-11111-1-1-1-11111−1−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−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
χ493333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000000000000011-1-1ii−i−iii−i−i−i−iii−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ503333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000000000000011-1-1−i−iii−i−iiiii−i−iii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ513333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-11111-1-111-1-111-1-111-1-11+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−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
χ523333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-111-1-111-1-111-1-111-1-1111+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−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
χ533333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-3-3333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-111ii−i−i−i−iii−i−iiiii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ543333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-3-3333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-111−i−iiiii−i−iii−i−i−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ553333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-3-3333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000000000000000000011-1-111-1-1-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+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
χ563333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-3-3333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000000000000000000011-1-1-1-11111-1-1-1-11111-1-1−1−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−i321−i321+i321−i321+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
χ573333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000000000001111iiiiiiii−i−i−i−i−i−i−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7
χ583333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000000000001111−i−i−i−i−i−i−i−iiiiiiiii−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7
χ593333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000-1-1-1-111111111111111111−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
χ603333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ613333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1−i321+i321−i321+i321−i321+i321−i321+i32ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7
χ623333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1−i321+i321−i321+i321−i321+i321−i321+i32−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7
χ633333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i320000000000000000000000000000000011111111-1-1-1-11111-1-1-1-1−1+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+i321+i321−i321+i321−i321+i321−i321+i321−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
χ643333−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000000000000000000000001111-1-1-1-11111-1-1-1-11111−1+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+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
χ653333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i320000000000000000000000000000000011-1-1ii−i−iii−i−i−i−iii−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ663333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i320000000000000000000000000000000011-1-1−i−iii−i−iiiii−i−iii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ673333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000-1-11111-1-111-1-111-1-111-1-11−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+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
χ683333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000-1-111-1-111-1-111-1-111-1-1111−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+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
χ693333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000-1-111ii−i−i−i−iii−i−iiiii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ703333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000-1-111−i−iiiii−i−iii−i−i−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ713333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000000000000000000011-1-111-1-1-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−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
χ723333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000000000000000000011-1-1-1-11111-1-1-1-11111-1-1−1+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+i321+i321−i321+i321−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
χ7333-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323i−3i3i−3i3ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ711-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000000000000000000000i−ii−ii−ii−i-11-11−ii−ii1-11-1ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ7433-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323i−3i3i−3i3ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ711-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000000000000000000000i−ii−i−ii−ii1-11-1i−ii−i-11-11ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ7533-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323i−3i3i−3i3ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ7-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000−ii−ii1-11-1i−ii−i1-11-1i−ii−i−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ7633-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323i−3i3i−3i3ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ7-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000−ii−ii-11-11−ii−ii-11-11−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ7733-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3i3i−3i3i−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ711-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000000000000000000000−ii−iii−ii−i1-11-1−ii−ii-11-11−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ7833-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3i3i−3i3i−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ711-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000000000000000000000−ii−ii−ii−ii-11-11i−ii−i1-11-1−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ7933-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3i3i−3i3i−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ7-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000i−ii−i1-11-1−ii−ii1-11-1−ii−iiζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ8033-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3i3i−3i3i−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ7-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000i−ii−i-11-11i−ii−i-11-11i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
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χ8233-3-3−3−3i32−3+3i32-3-333−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323i−3i−3i3i3ζ113ζ7−3ζ11−3ζ7−3ζ11−3ζ73ζ113ζ711-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000i−i−ii−iii−i1-1-11i−i−ii-111-1ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
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χ8633-3-3−3−3i32−3+3i32-3-333−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3i3i3i−3i−3ζ11−3ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ711-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000−iii−i−iii−i-111-1i−i−ii1-1-11−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ8733-3-3−3−3i32−3+3i32-3-333−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3i3i3i−3i−3ζ11−3ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ7-1-11111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000000000000000000000i−i−ii1-1-11−iii−i1-1-11−iii−iζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ8833-3-3−3−3i32−3+3i32-3-333−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3i3i3i−3i−3ζ11−3ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ7-1-11111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000000000000000000000i−i−ii-111-1i−i−ii-111-1i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ71−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ8933-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323i−3i3i−3i3ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000000000000000000000i−ii−ii−ii−i-11-11−ii−ii1-11-1ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ9033-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323i−3i3i−3i3ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000000000000000000000i−ii−i−ii−ii1-11-1i−ii−i-11-11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ9133-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323i−3i3i−3i3ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ11-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000−ii−ii1-11-1i−ii−i1-11-1i−ii−i−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ9233-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323i−3i3i−3i3ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ11-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000−ii−ii-11-11−ii−ii-11-11−ii−ii−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ9333-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i3i−3i3i−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000000000000000000000−ii−iii−ii−i1-11-1−ii−ii-11-11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ9433-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i3i−3i3i−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000000000000000000000−ii−ii−ii−ii-11-11i−ii−i1-11-1−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ9533-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i3i−3i3i−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ11-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000i−ii−i1-11-1−ii−ii1-11-1−ii−iiζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ9633-3-3−3+3i32−3−3i3233-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i3i−3i3i−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ11-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000i−ii−i-11-11i−ii−i-11-11i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
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χ9833-3-3−3+3i32−3−3i32-3-333−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323i−3i−3i3i3ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ1111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000i−i−ii−iii−i1-1-11i−i−ii-111-1ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ71+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ9933-3-3−3+3i32−3−3i32-3-333−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323i−3i−3i3i3ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ11-1-11111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000000000000000000000−iii−i1-1-11i−i−ii1-1-11i−i−ii−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.