Finite Group Databasebeta

← Group #11920845

Character table — Group #11920845

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111111112222666666668888888888888888121212121212121212121212121212121111111122226666666688888888888888881212121212121212121212121212121211111111222266666666888888888888888812121212121212121212121212121212
order122244444444224444443666121212121212121212121212444444448888888836661212121212121212661212121212123666121212121212121212121212121212121212121224242424242424243666121212121212121266121212121212366612121212121212121212121212121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ61111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ71111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ81111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ911-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ1011-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ1111-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ1211-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ1311-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-111-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-111-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-1
χ1411-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-1111-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-1111-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11
χ1511-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-1111-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-1111-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11
χ1611-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−i−iii−i-111-1−iii−i-111-111-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−i−iii−i-111-1−iii−i-111-111-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−i−iii−i-111-1−iii−i-111-1
χ1722222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000022222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000022222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ192222-2-2-2-222-2-2-2-22222-2-2-1-1-1-11111-1-1-1-1111100000000000000002222-2-2-2-222-2-2-2-22222-2-2-1-1-1-11111-1-1-1-1111100000000000000002222-2-2-2-222-2-2-2-22222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ202222-2-2-2-2-2-222-2-222-2-222-1-1-1-111111111-1-1-1-100000000000000002222-2-2-2-2-2-222-2-222-2-222-1-1-1-111111111-1-1-1-100000000000000002222-2-2-2-2-2-222-2-222-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2122-2-222-2-22i−2i2i−2i2-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000022-2-222-2-22i−2i2i−2i2-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000022-2-222-2-22i−2i2i−2i2-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii0000000000000000
χ2222-2-222-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000022-2-222-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000022-2-222-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i0000000000000000
χ2322-2-2-2-2222i−2i−2i2i-222-22i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000022-2-2-2-2222i−2i−2i2i-222-22i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000022-2-2-2-2222i−2i−2i2i-222-22i−2i−2i2i-1-11111-1-1−i−iiiii−i−i0000000000000000
χ2422-2-2-2-222−2i2i2i−2i-222-2−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000022-2-2-2-222−2i2i2i−2i-222-2−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000022-2-2-2-222−2i2i2i−2i-222-2−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii0000000000000000
χ25333333333333-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1333333333333-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1333333333333-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1
χ26333333333333-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111333333333333-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111333333333333-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111
χ2733333333-3-3-3-3-1-1-1-1111100000000000000001111-1-1-1-1-1-1-1-1111133333333-3-3-3-3-1-1-1-1111100000000000000001111-1-1-1-1-1-1-1-1111133333333-3-3-3-3-1-1-1-1111100000000000000001111-1-1-1-1-1-1-1-11111
χ2833333333-3-3-3-3-1-1-1-111110000000000000000-1-1-1-111111111-1-1-1-133333333-3-3-3-3-1-1-1-111110000000000000000-1-1-1-111111111-1-1-1-133333333-3-3-3-3-1-1-1-111110000000000000000-1-1-1-111111111-1-1-1-1
χ293333-3-3-3-333-3-311-1-1-1-1110000000000000000ii−i−iii−i−i−i−iii−i−iii3333-3-3-3-333-3-311-1-1-1-1110000000000000000ii−i−iii−i−i−i−iii−i−iii3333-3-3-3-333-3-311-1-1-1-1110000000000000000ii−i−iii−i−i−i−iii−i−iii
χ303333-3-3-3-333-3-311-1-1-1-1110000000000000000−i−iii−i−iiiii−i−iii−i−i3333-3-3-3-333-3-311-1-1-1-1110000000000000000−i−iii−i−iiiii−i−iii−i−i3333-3-3-3-333-3-311-1-1-1-1110000000000000000−i−iii−i−iiiii−i−iii−i−i
χ313333-3-3-3-3-3-33311-1-111-1-10000000000000000ii−i−i−i−iii−i−iiiii−i−i3333-3-3-3-3-3-33311-1-111-1-10000000000000000ii−i−i−i−iii−i−iiiii−i−i3333-3-3-3-3-3-33311-1-111-1-10000000000000000ii−i−i−i−iii−i−iiiii−i−i
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χ11411-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ11511-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
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χ11811-1-1-1-111i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ11911-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
χ12011-1-1-1-111−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−i−iii−i-111-1−iii−i-111-1−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32
χ12122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−1−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−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000−1+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+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000
χ12222222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ1232222-2-2-2-222-2-2-2-22222-2-2-1-1-1-11111-1-1-1-111110000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ1242222-2-2-2-2-2-222-2-222-2-222-1-1-1-111111111-1-1-1-10000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000000
χ12522-2-222-2-22i−2i2i−2i2-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ110000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ70000000000000000
χ12622-2-222-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ110000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ70000000000000000
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χ12822-2-2-2-222−2i2i2i−2i-222-2−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii0000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−2ζ112ζ112ζ11−2ζ111+i3−1−i3−1−i31+i3−2ζ112ζ112ζ11−2ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ110000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−2ζ72ζ72ζ7−2ζ71−i3−1+i3−1+i31−i3−2ζ72ζ72ζ7−2ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ70000000000000000
χ129333333333333-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ130333333333333-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000000001+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000000001−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.