Finite Group Databasebeta

← Group #14313145

Character table — Group #14313145

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122444444444488888888888888202020202020202040404040404040401111224444444444888888888888882020202020202020404040404040404011112244444444448888888888888820202020202020204040404040404040
order12442424510101020202020441010202020202020202020202222444444448888361212612612153030306060606012123030606060606060606060606666121212121212121224242424361212612612153030306060606012123030606060606060606060606666121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i111111111111111111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i111111111111111111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii111111111111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii111111111111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ51111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−i−i−iii1111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−i−i−iii1111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−i−i−iii
χ61111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−i−iiiii−i−i1111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−i−iiiii−i−i1111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−i−iiiii−i−i
χ71111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ81111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ911-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1i−ii−ii−ii−i11-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1i−ii−ii−ii−i11-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1i−ii−ii−ii−i
χ1011-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1−ii−ii−ii−ii11-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1−ii−ii−ii−ii11-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1−ii−ii−ii−ii
χ1111-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-111-1-111-1-1111-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-111-1-111-1-1111-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-111-1-111-1-11
χ1211-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-11-111-1-111-111-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-11-111-1-111-111-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-11-111-1-111-1
χ1311-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-111-1-11-111-111-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-111-1-11-111-111-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-111-1-11-111-1
χ1411-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-11-111-11-1-1111-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-11-111-11-1-1111-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-11-111-11-1-11
χ1511-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1i−ii−i−ii−ii11-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1i−ii−i−ii−ii11-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1i−ii−i−ii−ii
χ1611-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1−ii−iii−ii−i11-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1−ii−iii−ii−i11-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1−ii−iii−ii−i
χ17222222-2-22222222200-2-2-2-200000000002-200-2200000000222222-2-22222222200-2-2-2-200000000002-200-2200000000222222-2-22222222200-2-2-2-200000000002-200-2200000000
χ18222222-2-22222222200-2-2-2-20000000000-22002-200000000222222-2-22222222200-2-2-2-20000000000-22002-200000000222222-2-22222222200-2-2-2-20000000000-22002-200000000
χ1922-2-22-2-222222-2-2-2-200-2-22200000000002200-2-20000000022-2-22-2-222222-2-2-2-200-2-22200000000002200-2-20000000022-2-22-2-222222-2-2-2-200-2-22200000000002200-2-200000000
χ2022-2-22-2-222222-2-2-2-200-2-2220000000000-2-200220000000022-2-22-2-222222-2-2-2-200-2-2220000000000-2-200220000000022-2-22-2-222222-2-2-2-200-2-2220000000000-2-2002200000000
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χ2244444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000044444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000044444444-1-1-1-1-1-1-1-1-4-4-1-1-1-1111111110000000000000000
χ23444444-4-4-1-1-1-1-1-1-1-100111155−5−555−5−50000000000000000444444-4-4-1-1-1-1-1-1-1-100111155−5−555−5−50000000000000000444444-4-4-1-1-1-1-1-1-1-100111155−5−555−5−50000000000000000
χ24444444-4-4-1-1-1-1-1-1-1-1001111−5−555−5−5550000000000000000444444-4-4-1-1-1-1-1-1-1-1001111−5−555−5−5550000000000000000444444-4-4-1-1-1-1-1-1-1-1001111−5−555−5−5550000000000000000
χ254444-4-40044-4-444-4-40000000000000000000000000000004444-4-40044-4-444-4-40000000000000000000000000000004444-4-40044-4-444-4-4000000000000000000000000000000
χ264444-4-400-1-111-1-111005−55−5ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000000000000004444-4-400-1-111-1-111005−55−5ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ5900000000000000004444-4-400-1-111-1-111005−55−5ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ590000000000000000
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χ284444-4-400-1-111-1-11100−55−55ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000000000000004444-4-400-1-111-1-11100−55−55ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000000000000004444-4-400-1-111-1-11100−55−55ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ590000000000000000
χ294444-4-400-1-111-1-11100−55−55−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000000000000004444-4-400-1-111-1-11100−55−55−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000000000000004444-4-400-1-111-1-11100−55−55−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ590000000000000000
χ3044-4-44-44-4-1-1-1-111114-4-1-111-1-1-1-11111000000000000000044-4-44-44-4-1-1-1-111114-4-1-111-1-1-1-11111000000000000000044-4-44-44-4-1-1-1-111114-4-1-111-1-1-1-111110000000000000000
χ3144-4-44-44-4-1-1-1-11111-44-1-1111111-1-1-1-1000000000000000044-4-44-44-4-1-1-1-11111-44-1-1111111-1-1-1-1000000000000000044-4-44-44-4-1-1-1-11111-44-1-1111111-1-1-1-10000000000000000
χ3244-4-44-4-44-1-1-1-111110011-1-155−5−5−5−555000000000000000044-4-44-4-44-1-1-1-111110011-1-155−5−5−5−555000000000000000044-4-44-4-44-1-1-1-111110011-1-155−5−5−5−5550000000000000000
χ3344-4-44-4-44-1-1-1-111110011-1-1−5−55555−5−5000000000000000044-4-44-4-44-1-1-1-111110011-1-1−5−55555−5−5000000000000000044-4-44-4-44-1-1-1-111110011-1-1−5−55555−5−50000000000000000
χ3444-4-4-440044-4-4-4-44400000000000000000000000000000044-4-4-440044-4-4-4-44400000000000000000000000000000044-4-4-440044-4-4-4-444000000000000000000000000000000
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χ5611-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1111-1-1-11-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ5711-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-111-1-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5811-1-11-11-11111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111-11-111-1-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5911-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-111-1-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ6011-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-1111111-11-1-1-11-111-11-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
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χ6211-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1−ii−iii−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
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χ10811-1-11-11-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1111-1−ii−iii−ii−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.