Finite Group Databasebeta

← Group #11789707

Character table — Group #11789707

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444666688888888888888881212121212122424242411112222222222444444444466668888888888888888121212121212242424241111222222222244444444446666888888888888888812121212121224242424
order1244222344461212666888812121244442466881212242424242424242444888844883612126663121212612126662424242412121212121212612662424121224242424242424241212242424241212242436121266631212126121266624242424121212121212126126624241212242424242424242412122424242412122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ711111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111
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χ192222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-1-1-2-2-1-11111111100000000002222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-1-1-2-2-1-11111111100000000002222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-1-1-2-2-1-1111111110000000000
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χ712222222-1222-1-1-1-1-1-12222-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000
χ722222222-1222-1-1-1-1-1-12222-1-1-10000-2-211-2-211-1-1-1-111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200001−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200001+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000
χ732222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-1-1-2-2-1-1111111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i320000−1+i3−1+i31−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i320000−1−i3−1−i31+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000
χ742222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-10000-2-21122111111-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i3200001−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i3200001+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000
χ7522222-2-222-2-22222-2-22i−2i2i−2i2-2-20000000000002i−2i2i−2i00000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i31−i30000000000002ζ7−2ζ72ζ7−2ζ700000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i31+i30000000000002ζ11−2ζ112ζ11−2ζ1100000000000000
χ7622222-2-222-2-22222-2-2−2i2i−2i2i2-2-2000000000000−2i2i−2i2i00000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i31−i3000000000000−2ζ72ζ7−2ζ72ζ700000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i31+i3000000000000−2ζ112ζ11−2ζ112ζ1100000000000000
χ7722222-2-2-12-2-2-1-1-1-1112i−2i2i−2i-111000000−i3i300−i3i3−ii−ii3−33−30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i322ζ7−2ζ72ζ7−2ζ71−i32−1+i32−1+i320000003+i32−3−i32003+i32−3−i32−ζ7ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i322ζ11−2ζ112ζ11−2ζ111+i32−1−i32−1−i32000000−3+i323−i3200−3+i323−i32−ζ11ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ7822222-2-2-12-2-2-1-1-1-1112i−2i2i−2i-111000000i3−i300i3−i3−ii−ii−33−330000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i322ζ7−2ζ72ζ7−2ζ71−i32−1+i32−1+i32000000−3−i323+i3200−3−i323+i32−ζ7ζ7−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i322ζ11−2ζ112ζ11−2ζ111+i32−1−i32−1−i320000003−i32−3+i32003−i32−3+i32−ζ11ζ11−ζ11ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ7922222-2-2-12-2-2-1-1-1-111−2i2i−2i2i-111000000−i3i300−i3i3i−ii−i−33−330000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−2ζ72ζ7−2ζ72ζ71−i32−1+i32−1+i320000003+i32−3−i32003+i32−3−i32ζ7−ζ7ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−2ζ112ζ11−2ζ112ζ111+i32−1−i32−1−i32000000−3+i323−i3200−3+i323−i32ζ11−ζ11ζ11−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ8022222-2-2-12-2-2-1-1-1-111−2i2i−2i2i-111000000i3−i300i3−i3i−ii−i3−33−30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−2ζ72ζ7−2ζ72ζ71−i32−1+i32−1+i32000000−3−i323+i3200−3−i323+i32ζ7−ζ7ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−2ζ112ζ11−2ζ112ζ111+i32−1−i32−1−i320000003−i32−3+i32003−i32−3+i32ζ11−ζ11ζ11−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ812222-22-22-22-2222-22-20000-22-222220000000000000000-2-200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i300001−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i300000000000000001−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i300001+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i300000000000000001+i31+i300000000
χ822222-22-22-22-2222-22-20000-22-2-2-2-2-200000000000000002200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i300001−i3−1+i31−i31−i31−i31−i31−i30000000000000000−1+i3−1+i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i300001+i3−1−i31+i31+i31+i31+i31+i30000000000000000−1−i3−1−i300000000
χ832222-2-222-2-22222-2-220000-2-2200000000000000000000002-22-20000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i300001−i31−i3−1+i30000000000000000000000−1+i31−i3−1+i31−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i300001+i31+i3−1−i30000000000000000000000−1−i31+i3−1−i31+i30000
χ842222-2-222-2-22222-2-220000-2-220000000000000000000000-22-220000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i300001−i31−i3−1+i300000000000000000000001−i3−1+i31−i3−1+i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i300001+i31+i3−1−i300000000000000000000001+i3−1−i31+i3−1−i30000
χ8522-2-22222-2-2-22-2-22222i−2i−2i2i-2-2-20000000000002i−2i−2i2i00000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i32ζ7−2ζ7−2ζ72ζ71−i31−i31−i30000000000002ζ7−2ζ7−2ζ72ζ700000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i32ζ11−2ζ11−2ζ112ζ111+i31+i31+i30000000000002ζ11−2ζ11−2ζ112ζ1100000000000000
χ8622-2-22222-2-2-22-2-2222−2i2i2i−2i-2-2-2000000000000−2i2i2i−2i00000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−2ζ72ζ72ζ7−2ζ71−i31−i31−i3000000000000−2ζ72ζ72ζ7−2ζ700000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−2ζ112ζ112ζ11−2ζ111+i31+i31+i3000000000000−2ζ112ζ112ζ11−2ζ1100000000000000
χ8722-2-2222-1-2-2-2-111-1-1-12i−2i−2i2i111000000−i3i300i3−i3−iii−i3−3−330000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i322ζ7−2ζ7−2ζ72ζ7−1+i32−1+i32−1+i320000003+i32−3−i3200−3−i323+i32−ζ7ζ7ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i322ζ11−2ζ11−2ζ112ζ11−1−i32−1−i32−1−i32000000−3+i323−i32003−i32−3+i32−ζ11ζ11ζ11−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000
χ8822-2-2222-1-2-2-2-111-1-1-12i−2i−2i2i111000000i3−i300−i3i3−iii−i−333−30000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i322ζ7−2ζ7−2ζ72ζ7−1+i32−1+i32−1+i32000000−3−i323+i32003+i32−3−i32−ζ7ζ7ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i322ζ11−2ζ11−2ζ112ζ11−1−i32−1−i32−1−i320000003−i32−3+i3200−3+i323−i32−ζ11ζ11ζ11−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ8922-2-2222-1-2-2-2-111-1-1-1−2i2i2i−2i111000000−i3i300i3−i3i−i−ii−333−30000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−2ζ72ζ72ζ7−2ζ7−1+i32−1+i32−1+i320000003+i32−3−i3200−3−i323+i32ζ7−ζ7−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−2ζ112ζ112ζ11−2ζ11−1−i32−1−i32−1−i32000000−3+i323−i32003−i32−3+i32ζ11−ζ11−ζ11ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000000000
χ9022-2-2222-1-2-2-2-111-1-1-1−2i2i2i−2i111000000i3−i300−i3i3i−i−ii3−3−330000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−2ζ72ζ72ζ7−2ζ7−1+i32−1+i32−1+i32000000−3−i323+i32003+i32−3−i32ζ7−ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−2ζ112ζ112ζ11−2ζ11−1−i32−1−i32−1−i320000003−i32−3+i3200−3+i323−i32ζ11−ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000
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χ11511111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32
χ11611111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ11711-1-11-1-11-1111-1-11-1-111-1-1-111ii−i−i1-1111-1-1-111-1-111-1-1i−iii−i−ii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ11811-1-11-1-11-1111-1-11-1-111-1-1-111ii−i−i-11-1-1-111111-1-1-1-111i−iii−i−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ11911-1-11-1-11-1111-1-11-1-111-1-1-111−i−iii1-1111-1-1-111-1-111-1-1−ii−i−iii−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7
χ12011-1-11-1-11-1111-1-11-1-111-1-1-111−i−iii-11-1-1-111111-1-1-1-111−ii−i−iiii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7ζ7−ζ7
χ12111-1-11-1-11-1111-1-11-1-1-1-111-111ii−i−i1-111-11-1-1-1-111-1-111i−i−i−iii−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7
χ12211-1-11-1-11-1111-1-11-1-1-1-111-111ii−i−i-11-1-11-111-1-11111-1-1i−i−i−iiii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7
χ12311-1-11-1-11-1111-1-11-1-1-1-111-111−i−iii1-111-11-1-1-1-111-1-111−iiii−i−ii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ12411-1-11-1-11-1111-1-11-1-1-1-111-111−i−iii-11-1-11-111-1-11111-1-1−iiii−i−i−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ1252222222-1222-1-1-1-1-1-12222-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ1262222222-1222-1-1-1-1-1-12222-1-1-10000-2-211-2-211-1-1-1-111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200001+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200001−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000
χ1272222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-1-1-2-2-1-1111111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i320000−1−i3−1−i31+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i320000−1+i3−1+i31−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ1282222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-10000-2-21122111111-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i3200001+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i3200001−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000
χ12922222-2-222-2-22222-2-22i−2i2i−2i2-2-20000000000002i−2i2i−2i00000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i31+i30000000000002ζ11−2ζ112ζ11−2ζ1100000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i31−i30000000000002ζ7−2ζ72ζ7−2ζ700000000000000
χ13022222-2-222-2-22222-2-2−2i2i−2i2i2-2-2000000000000−2i2i−2i2i00000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i31+i3000000000000−2ζ112ζ11−2ζ112ζ1100000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i31−i3000000000000−2ζ72ζ7−2ζ72ζ700000000000000
χ13122222-2-2-12-2-2-1-1-1-1112i−2i2i−2i-111000000−i3i300−i3i3−ii−ii3−33−30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i322ζ11−2ζ112ζ11−2ζ111+i32−1−i32−1−i32000000−3+i323−i3200−3+i323−i32−ζ11ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i322ζ7−2ζ72ζ7−2ζ71−i32−1+i32−1+i320000003+i32−3−i32003+i32−3−i32−ζ7ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ13222222-2-2-12-2-2-1-1-1-1112i−2i2i−2i-111000000i3−i300i3−i3−ii−ii−33−330000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i322ζ11−2ζ112ζ11−2ζ111+i32−1−i32−1−i320000003−i32−3+i32003−i32−3+i32−ζ11ζ11−ζ11ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i322ζ7−2ζ72ζ7−2ζ71−i32−1+i32−1+i32000000−3−i323+i3200−3−i323+i32−ζ7ζ7−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000000000
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χ1352222-22-22-22-2222-22-20000-22-222220000000000000000-2-200000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i300001+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i300000000000000001+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i300001−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i300000000000000001−i31−i300000000
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χ14422-2-2222-1-2-2-2-111-1-1-1−2i2i2i−2i111000000i3−i300−i3i3i−i−ii3−3−330000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−2ζ112ζ112ζ11−2ζ11−1−i32−1−i32−1−i320000003−i32−3+i3200−3+i323−i32ζ11−ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−2ζ72ζ72ζ7−2ζ7−1+i32−1+i32−1+i32000000−3−i323+i32003+i32−3−i32ζ7−ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ14522-2-22-2-2-1-222-111-11122-2-21-1-100002-2-1-12-211-1-111-1-1110000000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i3−1−i321+i321+i320000−1−i31+i31+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i3−1+i321−i321−i320000−1+i31−i31−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000
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χ1574-44i−4i0004000-44i−4i00000000002+2i−2−2i2−2i−2+2i00000000000000000000000000−2−2i32+2i34ζ11−4ζ11000−2−2i30002+2i34ζ11−4ζ110000000000−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ1100000000000000000000000000−2+2i32−2i34ζ7−4ζ7000−2+2i30002−2i34ζ7−4ζ700000000002ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ1000000000000000000000000000
χ1584-44i−4i0004000-44i−4i0000000000−2−2i2+2i−2+2i2−2i00000000000000000000000000−2−2i32+2i34ζ11−4ζ11000−2−2i30002+2i34ζ11−4ζ1100000000002ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ1100000000000000000000000000−2+2i32−2i34ζ7−4ζ7000−2+2i30002−2i34ζ7−4ζ70000000000−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ1000000000000000000000000000
χ1594-4−4i4i0004000-4−4i4i00000000002−2i−2+2i2+2i−2−2i00000000000000000000000000−2−2i32+2i3−4ζ114ζ11000−2−2i30002+2i3−4ζ114ζ110000000000−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ1100000000000000000000000000−2+2i32−2i3−4ζ74ζ7000−2+2i30002−2i3−4ζ74ζ70000000000−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ1000000000000000000000000000
χ1604-4−4i4i0004000-4−4i4i0000000000−2+2i2−2i−2−2i2+2i00000000000000000000000000−2−2i32+2i3−4ζ114ζ11000−2−2i30002+2i3−4ζ114ζ1100000000002ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ1100000000000000000000000000−2+2i32−2i3−4ζ74ζ7000−2+2i30002−2i3−4ζ74ζ700000000002ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ1000000000000000000000000000
χ1618-88i−8i000-40004−4i4i0000000000000000000000000000000000000000−4−4i34+4i38ζ11−8ζ110002+2i3000−2−2i3−4ζ114ζ110000000000000000000000000000000000000000−4+4i34−4i38ζ7−8ζ70002−2i3000−2+2i3−4ζ74ζ70000000000000000000000000000000000000000
χ1628-8−8i8i000-400044i−4i0000000000000000000000000000000000000000−4−4i34+4i3−8ζ118ζ110002+2i3000−2−2i34ζ11−4ζ110000000000000000000000000000000000000000−4+4i34−4i3−8ζ78ζ70002−2i3000−2+2i34ζ7−4ζ70000000000000000000000000000000000000000

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