Finite Group Databasebeta

← Group #14313632

Character table — Group #14313632

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122444444444488888888888888202020202020202040404040404040401111224444444444888888888888882020202020202020404040404040404011112244444444448888888888888820202020202020204040404040404040
order1244242451010102020202024101010101010202020202020224444448888888836121261261215303030606060606123030303030306060606060606612121212121224242424242424243612126126121530303060606060612303030303030606060606060661212121212122424242424242424
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
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1
χ61111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111
χ71111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii
χ81111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i
χ911-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i11-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i11-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ1011-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii11-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii11-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ1111-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ1211-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-111-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-111-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ1311-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1i−i−iii−i−ii11-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1i−i−iii−i−ii11-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1i−i−iii−i−ii
χ1411-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1−iii−i−iii−i11-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1−iii−i−iii−i11-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1−iii−i−iii−i
χ1511-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-111-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-111-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-1
χ1611-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-111-111-11-1-1111-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-111-111-11-1-1111-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-111-111-11-1-11
χ17222222-2-22222222200-2-20000-2-200002-200002-200000000222222-2-22222222200-2-20000-2-200002-200002-200000000222222-2-22222222200-2-20000-2-200002-200002-200000000
χ18222222-2-22222222200-2-20000-2-20000-220000-2200000000222222-2-22222222200-2-20000-2-20000-220000-2200000000222222-2-22222222200-2-20000-2-20000-220000-2200000000
χ1922-2-22-22-22222-2-2-2-200220000-2-200002-20000-220000000022-2-22-22-22222-2-2-2-200220000-2-200002-20000-220000000022-2-22-22-22222-2-2-2-200220000-2-200002-20000-2200000000
χ2022-2-22-22-22222-2-2-2-200220000-2-20000-2200002-20000000022-2-22-22-22222-2-2-2-200220000-2-20000-2200002-20000000022-2-22-22-22222-2-2-2-200220000-2-20000-2200002-200000000
χ2144444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000044444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000044444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2244444444-1-1-1-1-1-1-1-1-4-4-1-11111-1-11111000000000000000044444444-1-1-1-1-1-1-1-1-4-4-1-11111-1-11111000000000000000044444444-1-1-1-1-1-1-1-1-4-4-1-11111-1-111110000000000000000
χ23444444-4-4-1-1-1-1-1-1-1-1001155−5−51155−5−50000000000000000444444-4-4-1-1-1-1-1-1-1-1001155−5−51155−5−50000000000000000444444-4-4-1-1-1-1-1-1-1-1001155−5−51155−5−50000000000000000
χ24444444-4-4-1-1-1-1-1-1-1-10011−5−55511−5−5550000000000000000444444-4-4-1-1-1-1-1-1-1-10011−5−55511−5−5550000000000000000444444-4-4-1-1-1-1-1-1-1-10011−5−55511−5−5550000000000000000
χ254444-4-4004-4-4444-4-40000000000000000000000000000004444-4-4004-4-4444-4-40000000000000000000000000000004444-4-4004-4-4444-4-4000000000000000000000000000000
χ264444-4-400-111-1-1-111005−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ585−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000000000004444-4-400-111-1-1-111005−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ585−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000000000004444-4-400-111-1-1-111005−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ585−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000
χ274444-4-400-111-1-1-111005−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ585−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000000000004444-4-400-111-1-1-111005−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ585−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000000000004444-4-400-111-1-1-111005−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ585−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000
χ284444-4-400-111-1-1-11100−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000000000004444-4-400-111-1-1-11100−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000000000004444-4-400-111-1-1-11100−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000
χ294444-4-400-111-1-1-11100−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000000000004444-4-400-111-1-1-11100−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000000000004444-4-400-111-1-1-11100−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000
χ3044-4-44-44-4-1-1-1-1111100-1-155−5−511−5−555000000000000000044-4-44-44-4-1-1-1-1111100-1-155−5−511−5−555000000000000000044-4-44-44-4-1-1-1-1111100-1-155−5−511−5−5550000000000000000
χ3144-4-44-44-4-1-1-1-1111100-1-1−5−5551155−5−5000000000000000044-4-44-44-4-1-1-1-1111100-1-1−5−5551155−5−5000000000000000044-4-44-44-4-1-1-1-1111100-1-1−5−5551155−5−50000000000000000
χ3244-4-44-4-44-1-1-1-111114-411-1-1-1-1-1-11111000000000000000044-4-44-4-44-1-1-1-111114-411-1-1-1-1-1-11111000000000000000044-4-44-4-44-1-1-1-111114-411-1-1-1-1-1-111110000000000000000
χ3344-4-44-4-44-1-1-1-11111-44111111-1-1-1-1-1-1000000000000000044-4-44-4-44-1-1-1-11111-44111111-1-1-1-1-1-1000000000000000044-4-44-4-44-1-1-1-11111-44111111-1-1-1-1-1-10000000000000000
χ3444-4-4-44004-4-44-4-44400000000000000000000000000000044-4-4-44004-4-44-4-44400000000000000000000000000000044-4-4-44004-4-44-4-444000000000000000000000000000000
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χ5611-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−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−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+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+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+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
χ5711-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−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+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+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−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ5811-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-1−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−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+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+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−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ5911-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1i−i−iii−i−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ6011-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1−iii−i−iii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ6111-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-1−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i32
χ6211-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-111-111-11-1-11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ63222222-2-22222222200-2-20000-2-200002-200002-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i300001−i31−i30000−1+i31−i30000−1+i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i300001+i31+i30000−1−i31+i30000−1−i31+i300000000
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χ10411-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+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−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−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+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ10511-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1i−i−iii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ10611-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1−iii−i−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ10711-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i32
χ10811-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-111-111-11-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ109222222-2-22222222200-2-20000-2-200002-200002-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i300001+i31+i30000−1−i31+i30000−1−i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i300001−i31−i30000−1+i31−i30000−1+i31−i300000000
χ110222222-2-22222222200-2-20000-2-20000-220000-2200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i300001+i31+i300001+i3−1−i300001+i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i300001−i31−i300001−i3−1+i300001−i3−1+i300000000
χ11122-2-22-22-22222-2-2-2-200220000-2-200002-20000-2200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i3−1−i300001+i31+i30000−1−i31+i300001+i3−1−i300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i3−1+i300001−i31−i30000−1+i31−i300001−i3−1+i300000000
χ11222-2-22-22-22222-2-2-2-200220000-2-20000-2200002-200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i3−1−i300001+i31+i300001+i3−1−i30000−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i3−1+i300001−i31−i300001−i3−1+i30000−1+i31−i300000000
χ11344444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i32−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i32−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000
χ11444444444-1-1-1-1-1-1-1-1-4-4-1-11111-1-111110000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i322+2i32+2i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i322−2i32−2i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ115444444-4-4-1-1-1-1-1-1-1-1001155−5−51155−5−50000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i321+i321+i321+i321+i321+i321+i321+i3200−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ580000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i321−i321−i321−i321−i321−i321−i321−i3200−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ380000000000000000
χ116444444-4-4-1-1-1-1-1-1-1-10011−5−55511−5−5550000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i321+i321+i321+i321+i321+i321+i321+i3200−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58−1−i32−1−i32ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ580000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i321−i321−i321−i321−i321−i321−i321−i3200−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38−1+i32−1+i32ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ380000000000000000
χ1174444-4-4004-4-4444-4-4000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i300−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i300−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i3000000000000000000000000000000
χ1184444-4-400-111-1-1-111005−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ585−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i3200−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34−ζ46+ζ58ζ22−ζ34+ζ46−ζ58ζ22+ζ34−ζ46−ζ58−ζ22−ζ34+ζ46+ζ580000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i3200−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14−ζ26+ζ38ζ2−ζ14+ζ26−ζ38ζ2+ζ14−ζ26−ζ38−ζ2−ζ14+ζ26+ζ380000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.