Finite Group Databasebeta

← Group #13086173

Character table — Group #13086173

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444666666888888881010101010101212121212121212121212121212121212121212121212121212122020202020203030303030303636363636606060180
order12223355666666101010101010366615151515303030303030303030303030441212121215153030303030304412121212412122020202020202020606060606060606060606060606060601212121212124412121212420202020412122
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
χ2522-2-22222-222-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-22222000000222-2-22-2-22i−2i2i2i−2i−2i0000000000000000000000000002i−2i2i2i−2i−2i000000000000000
χ2622-2-22222-222-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-22222000000222-2-22-2-2−2i2i−2i−2i2i2i000000000000000000000000000−2i2i−2i−2i2i2i000000000000000
χ2722-2-22-122-22-111-2-2-222-2-2-1-1112-12-1-2-211-2-2112-12-100−i3−i3i3i3-1-1-111-1112i−2i−i−iii00000000000−i3−i3i3i3−i3−i3i3i3000000002i−2i−i−iii0033−3−3000000000
χ2822-2-22-122-22-111-2-2-222-2-2-1-1112-12-1-2-211-2-2112-12-100−i3−i3i3i3-1-1-111-111−2i2iii−i−i00000000000−i3−i3i3i3−i3−i3i3i300000000−2i2iii−i−i00−3−333000000000
χ2922-2-22-122-22-111-2-2-222-2-2-1-1112-12-1-2-211-2-2112-12-100i3i3−i3−i3-1-1-111-1112i−2i−i−iii00000000000i3i3−i3−i3i3i3−i3−i3000000002i−2i−i−iii00−3−333000000000
χ3022-2-22-122-22-111-2-2-222-2-2-1-1112-12-1-2-211-2-2112-12-100i3i3−i3−i3-1-1-111-111−2i2iii−i−i00000000000i3i3−i3−i3i3i3−i3−i300000000−2i2iii−i−i0033−3−3000000000
χ3122-2-2-12221-12-2-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-12000000-1-1-111-1112i−2i2i2i−2i−2i0−i3i30000000000000000−i3−i3i3i3−i3−i3i3i3−ii−i−iii0000000000003−30
χ3222-2-2-12221-12-2-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-12000000-1-1-111-1112i−2i2i2i−2i−2i0i3−i30000000000000000i3i3−i3−i3i3i3−i3−i3−ii−i−iii000000000000−330
χ3322-2-2-12221-12-2-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-12000000-1-1-111-111−2i2i−2i−2i2i2i0−i3i30000000000000000−i3−i3i3i3−i3−i3i3i3i−iii−i−i000000000000−330
χ3422-2-2-12221-12-2-21-2-222-2-2-1-111-12-1211-2-211-2-2-12-12000000-1-1-111-111−2i2i−2i−2i2i2i0i3−i30000000000000000i3i3−i3−i3i3i3−i3−i3i−iii−i−i0000000000003−30
χ352-22-22222-2-2-22-2222-2-2-2-22-2-2222222-22-22-22-2-2-2-2-200000022-22-2-22-20000000000000000000000000000000000000002i−2i2i−2i2i−2i000000000
χ362-22-22222-2-2-22-2222-2-2-2-22-2-2222222-22-22-22-2-2-2-2-200000022-22-2-22-2000000000000000000000000000000000000000−2i2i−2i2i−2i2i000000000
χ372-22-22-122-2-21-11222-2-2-2-2-111-12-12-12-2-112-2-11-21-21003−33−3-1-11-111-1100−i3i3−i3i3000000000003−33−33−33−30000000000−i3i3−i3i32i−2i−ii−ii000000000
χ382-22-22-122-2-21-11222-2-2-2-2-111-12-12-12-2-112-2-11-21-21003−33−3-1-11-111-1100i3−i3i3−i3000000000003−33−33−33−30000000000i3−i3i3−i3−2i2ii−ii−i000000000
χ392-22-22-122-2-21-11222-2-2-2-2-111-12-12-12-2-112-2-11-21-2100−33−33-1-11-111-1100−i3i3−i3i300000000000−33−33−33−330000000000−i3i3−i3i3−2i2ii−ii−i000000000
χ402-22-22-122-2-21-11222-2-2-2-2-111-12-12-12-2-112-2-11-21-2100−33−33-1-11-111-1100i3−i3i3−i300000000000−33−33−33−330000000000i3−i3i3−i32i−2i−ii−ii000000000
χ412-2-2222222-2-2-22-2-2-2-2-2222-22-22222-22-22-22-22-2-2-2-22i−2i2i−2i−2i2i22-2-22-2-220000000002i−2i2i−2i00002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000
χ422-2-2222222-2-2-22-2-2-2-2-2222-22-22222-22-22-22-22-2-2-2-2−2i2i−2i2i2i−2i22-2-22-2-22000000000−2i2i−2i2i0000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000
χ432-2-2222−1−52−1+522-2-2-22-21+521−521+521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−522i−2i2i−2i−2i2i−1−52−1+521+521+52−1−521−521−52−1+52000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ442-2-2222−1−52−1+522-2-2-22-21+521−521+521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−522i−2i2i−2i−2i2i−1−52−1+521+521+52−1−521−521−52−1+52000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ452-2-2222−1−52−1+522-2-2-22-21+521−521+521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−52−2i2i−2i2i2i−2i−1−52−1+521+521+52−1−521−521−52−1+52000000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
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χ864-44-4-24−1+5−1−522-44-4-2−1+5−1−51−51+51−51+5-222-21−52−1+51+52−1−51−52−1+52−1+51−51+52−1−52−1−51+5−1+521−5−1−521+50000001−521+52−1+521−52−1+52−1−521+52−1−520000000000000000000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000
χ874-44-4-24−1+5−1−522-44-4-2−1+5−1−51−51+51−51+5-222-21−52−1+51+52−1−51−52−1+52−1+51−51+52−1−52−1−51+5−1+521−5−1−521+50000001−521+52−1+521−52−1+52−1−521+52−1−520000000000000000000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000
χ884-44-4-2-244222-22-244-4-4-4-41-1-11-2-2-2-2-22-22-22-22222200000011-11-1-11-100−2i32i3−2i32i300000000000000000000000000000i3−i3i3−i3000000000000000
χ894-44-4-2-244222-22-244-4-4-4-41-1-11-2-2-2-2-22-22-22-22222200000011-11-1-11-1002i3−2i32i3−2i300000000000000000000000000000−i3i3−i3i3000000000000000
χ904-4-444-2−1−5−1+54-422-2-41+51−51+51−5−1−5−1+5-22-22−1−51+52−1+51−521+5−1−5−1−521+521−5−1+5−1+521−521+5−1−521−5−1+524i−4i−2i2i2i−2i1+521−52−1−52−1−521+52−1+52−1+521−52000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000000000000
χ914-4-444-2−1−5−1+54-422-2-41+51−51+51−5−1−5−1+5-22-22−1−51+52−1+51−521+5−1−5−1−521+521−5−1+5−1+521−521+5−1−521−5−1+52−4i4i2i−2i−2i2i1+521−52−1−52−1−521+52−1+52−1+521−520000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000000000000000000
χ924-4-444-2−1+5−1−54-422-2-41−51+51−51+5−1+5−1−5-22-22−1+51−52−1−51+521−5−1+5−1+521−521+5−1−5−1−521+521−5−1+521+5−1−524i−4i−2i2i2i−2i1−521+52−1+52−1+521−52−1−52−1−521+52000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000000
χ934-4-444-2−1+5−1−54-422-2-41−51+51−51+5−1+5−1−5-22-22−1+51−52−1−51+521−5−1+5−1+521−521+5−1−5−1−521+521−5−1+521+5−1−52−4i4i2i−2i−2i2i1−521+52−1+52−1+521−52−1−52−1−521+520000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000000
χ944-4-44-2444-22-4-442-4-4-4-444-22-22-24-242-2-442-2-442-42-4000000-2-222-222-2000000000000000000000000000000000000000000000000000000
χ954-4-44-24−1−5−1+5-22-4-4421+51−51+51−5−1−5−1+5-22-221+52−1−51−52−1+5−1−521+521+5−1−5−1+521−521−5−1+5−1−521+5−1+521−50000001+521−52−1−52−1−521+52−1+52−1+521−520000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000
χ964-4-44-24−1−5−1+5-22-4-4421+51−51+51−5−1−5−1+5-22-221+52−1−51−52−1+5−1−521+521+5−1−5−1+521−521−5−1+5−1−521+5−1+521−50000001+521−52−1−52−1−521+52−1+52−1+521−5200000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000000
χ974-4-44-24−1+5−1−5-22-4-4421−51+51−51+5−1+5−1−5-22-221−52−1+51+52−1−5−1+521−521−5−1+5−1−521+521+5−1−5−1+521−5−1−521+50000001−521+52−1+52−1+521−52−1−52−1−521+5200000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000
χ984-4-44-24−1+5−1−5-22-4-4421−51+51−51+5−1+5−1−5-22-221−52−1+51+52−1−5−1+521−521−5−1+5−1−521+521+5−1−5−1+521−5−1−521+50000001−521+52−1+52−1+521−52−1−52−1−521+520000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000
χ994-4-44-2-244-2222-22-4-4-4-4441-11-1-2-2-2-22-22-22-22-2222200000011-1-11-1-110023−23−232300000000000000000000000000000−333−3000000000000000
χ1004-4-44-2-244-2222-22-4-4-4-4441-11-1-2-2-2-22-22-22-22-2222200000011-1-11-1-1100−232323−23000000000000000000000000000003−3−33000000000000000
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+254-4-44442+252−25−2−25−2+252+252−2522-2-21+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−5000000−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−254-4-44442−252+25−2+25−2−252−252+2522-2-21−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+5000000−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+25444-44-4−2−25−2+252+252−252+252−252-2-221+51+51−51−51+5−1−51+5−1−51−5−1+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+25−2−25444-44-4−2+25−2−252−252+252−252+252-2-221−51−51+51+51−5−1+51−5−1+51+5−1−51+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+25-4444-442+252−252+252−25−2−25−2+252-22-21+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+5000000−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−25-4444-442−252+252−252+25−2+25−2−252-22-21−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1+5−1−5−1−5000000−1+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.