Finite Group Databasebeta

← Group #13086192

Character table — Group #13086192

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444666666888888881010101010101212121212121212121212121212121212121212121212121212122020202020203030303030303636363636606060180
order12223355666666101010101010366615151515303030303030303030303030441212121215153030303030304412121212412122020202020202020606060606060606060606060606060601212121212124412121212420202020412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ9222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000002−1−52−1−52−1+52−1+520000
χ10222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000-21+521+521−521−520000
χ11222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000002221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-21+521+521−521−520000
χ12222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000002−1−52−1−52−1+52−1+520000
χ13222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000002−1+52−1+52−1−52−1−520000
χ14222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000-21−521−521+521+520000
χ15222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000002221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-21−521−521+521+520000
χ16222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000002−1+52−1+52−1−52−1−520000
χ1722222-12222-1-1-12222222-1-1-1-12-12-122-1-122-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100022220000-1-1-1-1-1-1-1-10000000022-1-1-1-122-1-1-1-1000000000
χ1822222-12222-1-1-12222222-1-1-1-12-12-122-1-122-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100022220000-1-1-1-1-1-1-1-100000000-2-21111-2-21111000000000
χ1922222-12222-1-1-12222222-1-1-1-12-12-122-1-122-1-12-12-1-2-21111-1-1-1-1-1-1-1-122-1-1-1-1000-2-2-2-20000111111110000000022-1-1-1-1-2-21111000000000
χ2022222-12222-1-1-12222222-1-1-1-12-12-122-1-122-1-12-12-1-2-21111-1-1-1-1-1-1-1-1-2-21111000-2-2-2-200001111111100000000-2-2111122-1-1-1-1000000000
χ212222-1222-1-1222-1222222-1-1-1-1-12-12-1-122-1-122-12-12000000-1-1-1-1-1-1-1-12222222-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000002-1-10
χ222222-1222-1-1222-1222222-1-1-1-1-12-12-1-122-1-122-12-12000000-1-1-1-1-1-1-1-1222222-2110000-2-2-2-20000000011111111-1-1-1-1-1-100000000000-2110
χ232222-1222-1-1222-1222222-1-1-1-1-12-12-1-122-1-122-12-12000000-1-1-1-1-1-1-1-1-2-2-2-2-2-22-1-10000222200000000-1-1-1-1-1-1-1-111111100000000000-2110
χ242222-1222-1-1222-1222222-1-1-1-1-12-12-1-122-1-122-12-12000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2110000-2-2-2-20000000011111111111111000000000002-1-10
χ2522-2-222222-22-2-2-2-2-222-2-222-2-222222-2-2-22-2-2-2-22-222-222-2-2222-2-22-2-20000000002-22-2000022-2-222-2-200000000000000000000000000000
χ2622-2-222222-22-2-2-2-2-222-2-222-2-222222-2-2-22-2-2-2-22-22-22-2-222222-2-22-2-2000000000-22-220000-2-222-2-22200000000000000000000000000000
χ2722-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−521+521+521+52−1+521−521−521−521+52−1−521−52−1+522-222-2-2−1−52−1+52−1−521+521+52−1+521−521−52000000000−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1−521+521+52−1+52−1+521−521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ2822-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−521+521+521+52−1+521−521−521−521+52−1−521−52−1+522-222-2-2−1−52−1+52−1−521+521+52−1+521−521−52000000000−1−521+52−1+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1−521+521+52−1+52−1+521−521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ2922-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−521+521+521+52−1+521−521−521−521+52−1−521−52−1+52-22-2-222−1−52−1+52−1−521+521+52−1+521−521−520000000001+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+521+52−1−52−1−521−521−52−1+52−1+52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ3022-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−521+521+521+52−1+521−521−521−521+52−1−521−52−1+52-22-2-222−1−52−1+52−1−521+521+52−1+521−521−520000000001+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+521+52−1−52−1−521−521−52−1+52−1+52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ3122-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+521−521−521−52−1−521+521+521+521−52−1+521+52−1−522-222-2-2−1+52−1−52−1+521−521−52−1−521+521+52000000000−1+521−52−1−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1+521−521−52−1−52−1−521+521+52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ590000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000
χ3222-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+521−521−521−52−1−521+521+521+521−52−1+521+52−1−522-222-2-2−1+52−1−52−1+521−521−52−1−521+521+52000000000−1+521−52−1−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+52−1+521−521−52−1−52−1−521+521+52−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ590000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000
χ3322-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+521−521−521−52−1−521+521+521+521−52−1+521+52−1−52-22-2-222−1+52−1−52−1+521−521−52−1−521+521+520000000001−52−1+521+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ591−521−52−1+52−1+521+521+52−1−52−1−52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ590000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000
χ3422-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+521−521−521−52−1−521+521+521+521−52−1+521+52−1−52-22-2-222−1+52−1−52−1+521−521−52−1−521+521+520000000001−52−1+521+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ591−521−52−1+52−1+521+521+52−1−52−1−52−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ590000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000
χ3522-2-22-1222-2-111-2-2-222-2-2-1-1112-12-12-2112-211-2-1-2-12-2-1-111-1-1-111-1110033−3−30002-22-20000-1-111-1-111000000000033−3−30033−3−3000000000
χ3622-2-22-1222-2-111-2-2-222-2-2-1-1112-12-12-2112-211-2-1-2-12-2-1-111-1-1-111-11100−3−3330002-22-20000-1-111-1-1110000000000−3−33300−3−333000000000
χ3722-2-22-1222-2-111-2-2-222-2-2-1-1112-12-12-2112-211-2-1-2-1-2211-1-1-1-1-111-1110033−3−3000-22-22000011-1-111-1-1000000000033−3−300−3−333000000000
χ3822-2-22-1222-2-111-2-2-222-2-2-1-1112-12-12-2112-211-2-1-2-1-2211-1-1-1-1-111-11100−3−333000-22-22000011-1-111-1-10000000000−3−3330033−3−3000000000
χ392-22-22222-22-2-22-222-2-2-2-22-22-22222-222-2-222-2-2-2-2-200000022-22-2-22-20000000000000000000000000000000000000002-22-22-2000000000
χ402-22-22222-22-2-22-222-2-2-2-22-22-22222-222-2-222-2-2-2-2-200000022-22-2-22-2000000000000000000000000000000000000000-22-22-22000000000
χ412-22-22-122-2211-1-222-2-2-2-2-11-112-12-1-22-11-22-11-21-21003−33−3-1-11-111-11003−33−3000000000003−33−33−33−300000000003−33−32-2-11-11000000000
χ422-22-22-122-2211-1-222-2-2-2-2-11-112-12-1-22-11-22-11-21-21003−33−3-1-11-111-1100−33−33000000000003−33−33−33−30000000000−33−33-221-11-1000000000
χ432-22-22-122-2211-1-222-2-2-2-2-11-112-12-1-22-11-22-11-21-2100−33−33-1-11-111-11003−33−300000000000−33−33−33−3300000000003−33−3-221-11-1000000000
χ442-22-22-122-2211-1-222-2-2-2-2-11-112-12-1-22-11-22-11-21-2100−33−33-1-11-111-1100−33−3300000000000−33−33−33−330000000000−33−332-2-11-11000000000
χ452-2-222222-2-2-22-22-2-2-2-2222-2-222222-2-2-22-2-2-222-22-200000022-2-22-2-222-22-2-220000000000000000000000000002-22-2-22000000000000000
χ462-2-222222-2-2-22-22-2-2-2-2222-2-222222-2-2-22-2-2-222-22-200000022-2-22-2-22-22-222-2000000000000000000000000000-22-222-2000000000000000
χ472-2-222-122-2-21-112-2-2-2-222-111-12-12-1-2-21-1-2-21-12121003−3−33-1-111-111-12-2-111-1000000000003−3−333−3−33000000002-2-111-100−333−3000000000
χ482-2-222-122-2-21-112-2-2-2-222-111-12-12-1-2-21-1-2-21-12121003−3−33-1-111-111-1-221-1-11000000000003−3−333−3−3300000000-221-1-11003−3−33000000000
χ492-2-222-122-2-21-112-2-2-2-222-111-12-12-1-2-21-1-2-21-1212100−333−3-1-111-111-12-2-111-100000000000−333−3−333−3000000002-2-111-1003−3−33000000000
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χ994-4-44-2-244222-22-2-4-4-4-4441-1-11-2-2-2-2222-2222-2-22-2200000011-1-11-1-114-4-222-2000000000000000000000000000-221-1-11000000000000000
χ1004-4-44-2-244222-22-2-4-4-4-4441-1-11-2-2-2-2222-2222-2-22-2200000011-1-11-1-11-442-2-220000000000000000000000000002-2-111-1000000000000000
χ1018888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+2522221+51+51−51−51+51+51+51+51−51−51−51−51+51+51−51−5000000−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000
χ1028888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−2522221−51−51+51+51−51−51−51−51+51+51+51+51−51−51+51+5000000−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4−2−25−2+25-44-44442+252−25−2−25−2+252+252−2522-2-21+51+51−51−51+5−1−5−1−5−1−51−5−1+5−1+5−1+5−1−51+5−1+51−5000000−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−25-44-44442−252+25−2+25−2−252−252+2522-2-21−51−51+51+51−5−1+5−1+5−1+51+5−1−5−1−5−1−5−1+51−5−1−51+5000000−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+254-444-44−2−25−2+252+252−252+252−252-22-21+51+51−51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1−5−1+5−1+5000000−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4−2+25−2−254-444-44−2+25−2−252−252+252−252+252-22-21−51−51+51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1+5−1−5−1−5000000−1+52−1−521−52−1+521−521+52−1−521+52000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4−2−25−2+25444-44-42+252−252+252−25−2−25−2+252-2-221+51+51−51−5−1−5−1−5−1−51+5−1+5−1+5−1+51−51+5−1−51−5−1+5000000−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−25444-44-42−252+252−252+25−2+25−2−252-2-221−51−51+51+5−1+5−1+5−1+51−5−1−5−1−5−1−51+51−5−1+51+5−1−5000000−1+52−1−521−521−52−1+521+521+52−1−52000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.