Finite Group Databasebeta

← Group #14283970

Character table — Group #14283970

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order122222344666121212124566101010121244441010152020202030303030303030606060606060606044441212121212121212488888888121212122424242424242424242424242424242444202020208888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111iiii−i−i−i−i-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111−i−i−i−iiiii-1-1
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1iiii−i−i−i−i11
χ91111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-111ii−i−iii−i−i-11
χ101111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-1−i−iii−i−iii1-1
χ111111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-111−i−iii−i−iii-11
χ121111-1-11-1-1111-1-1-1-111-1-1111111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-1ii−i−iii−i−i1-1
χ131111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ141111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ151111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-111-1-11111-1-11-1
χ161111-1-11-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-111-11
χ172222222-2-2222-2-2-2-2-2222222-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-200000000-2-22200000000000000000000000000000000
χ182222222-2-2222-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222220000000022-2-200000000000000000000000000000000
χ19222222-122-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ21222222-122-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ22222222-122-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ23222222-1-2-2-1-1-11111-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-11111-20000000011-1-133−3−333−3−333−3−333−3−30000000000000000
χ24222222-1-2-2-1-1-11111-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-11111-20000000011-1-1−3−333−3−333−3−333−3−3330000000000000000
χ25222222-1-2-2-1-1-11111-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-21111-1-1-1-1200000000-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222-1-2-2-1-1-11111-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-21111-1-1-1-1200000000-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ272222-2-22222222222-22-2-2222-2-22222-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-222222222-200000000-2-2-2-200000000000000000000000000000000
χ282222-2-22222222222-22-2-2222-2-2-2-2-2-2-2-22-2-22222-2-2-2-22-2-2-2-22222-2-222-2-2-2-2-2-2-2-2200000000222200000000000000000000000000000000
χ292222-2-2-122-1-1-1-1-1-1-1-2211222112222-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-2000000001111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ302222-2-2-122-1-1-1-1-1-1-1-2211222112222-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-2000000001111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ312222-2-2-122-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1-2-22211111111200000000-1-1-1-133−3−3−3−333−3−33333−3−30000000000000000
χ322222-2-2-122-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1-2-22211111111200000000-1-1-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ332222-2-2-1-2-2-1-1-111112211222-1-12222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-1111122i2i−2i−2i2i2i−2i−2i-1-111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ342222-2-2-1-2-2-1-1-111112211222-1-12222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-111112−2i−2i2i2i−2i−2i2i2i-1-111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ352222-2-2-1-2-2-1-1-111112211222-1-1-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122221111-1-1-1-1-222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ362222-2-2-1-2-2-1-1-111112211222-1-1-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122221111-1-1-1-1-2-2-22222-2-211-1-11111-1-1-1-1-1-1-1-111110000000000000000
χ372-22-20022i−2i-22-22i2i−2i−2i0200-22-20022-2-2002002i−2i2-20000-200002i2i−2i−2i2i−2i0022-2-22i2i−2i−2i000000000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00
χ382-22-20022i−2i-22-22i2i−2i−2i0200-22-20022-2-2002002i−2i2-20000-200002i2i−2i−2i2i−2i0022-2-22i2i−2i−2i00000000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00
χ392-22-20022i−2i-22-22i2i−2i−2i0200-22-200-2-222002002i−2i2-20000-200002i2i−2i−2i−2i2i00-2-222−2i−2i2i2i000000000000000000000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00
χ402-22-20022i−2i-22-22i2i−2i−2i0200-22-200-2-222002002i−2i2-20000-200002i2i−2i−2i−2i2i00-2-222−2i−2i2i2i00000000000000000000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00
χ412-22-2002−2i2i-22-2−2i−2i2i2i0200-22-20022-2-200200−2i2i2-20000-20000−2i−2i2i2i−2i2i0022-2-2−2i−2i2i2i000000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00
χ422-22-2002−2i2i-22-2−2i−2i2i2i0200-22-20022-2-200200−2i2i2-20000-20000−2i−2i2i2i−2i2i0022-2-2−2i−2i2i2i00000000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00
χ432-22-2002−2i2i-22-2−2i−2i2i2i0200-22-200-2-22200200−2i2i2-20000-20000−2i−2i2i2i2i−2i00-2-2222i2i−2i−2i000000000000000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00
χ442-22-2002−2i2i-22-2−2i−2i2i2i0200-22-200-2-22200200−2i2i2-20000-20000−2i−2i2i2i2i−2i00-2-2222i2i−2i−2i00000000000000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00
χ452-2-222-2200-2-220000022-22-2-2002i−2i2i−2i2-220000-2222-2-2-200000000002i−2i2i−2i2i−2i000001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000
χ462-2-222-2200-2-220000022-22-2-2002i−2i2i−2i2-220000-2222-2-2-200000000002i−2i2i−2i2i−2i00000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000
χ472-2-222-2200-2-220000022-22-2-200−2i2i−2i2i2-220000-2222-2-2-20000000000−2i2i−2i2i−2i2i000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ482-2-222-2200-2-220000022-22-2-200−2i2i−2i2i2-220000-2222-2-2-20000000000−2i2i−2i2i−2i2i00000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ492-2-222-2-10011-13−33−302-112-2-23−32i−2i2i−2i2-2-100001-1-1-111133−3−33−33−3002i−2i−ii−ii−i3i3−i3i301+i−1−i1+i−1−i1−i−1+i1−i−1+i−i3i3−ii−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ590000000000000000
χ502-2-222-2-10011-13−33−302-112-2-23−32i−2i2i−2i2-2-100001-1-1-111133−3−33−33−3002i−2i−ii−ii−i3i3−i3i30−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i3i3−iiζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ590000000000000000
χ512-2-222-2-10011-13−33−302-112-2-23−3−2i2i−2i2i2-2-100001-1-1-111133−3−33−33−300−2i2ii−ii−ii3−i3i3−i301−i−1+i1−i−1+i1+i−1−i1+i−1−ii3−i3i−iζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ430000000000000000
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χ532-2-222-2-10011-1−33−3302-112-2-2−332i−2i2i−2i2-2-100001-1-1-1111−3−333−33−33002i−2i−ii−iii3−i3i3−i301+i−1−i1+i−1−i1−i−1+i1−i−1+ii3−i3−iiζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ430000000000000000
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χ864-44-400-2−4i4i2-222i2i−2i−2i0400-44-400-4-44400-200−4i4i-220000200002i2i−2i−2i4i−4i0022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000
χ87888888-488-4-4-4-4-4-4-48-2-4-4-2-2-2-4-40000-2-21-2-2-2-2111111111111111000000000000000000000000000000000000000000000000000000000
χ88888888-4-8-8-4-4-44444-8-2-4-4-2-2-2440000-2-2122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ898888-8-8-488-4-4-4-4-4-4-4-8-244-2-2-244000022122-2-211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000000000
χ908888-8-8-4-8-8-4-4-444448-244-2-2-2-4-40000221-2-22211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ9188-8-8008008-8-800000-20022-200000000-2−252500220000-2−2525−25250000000000000000000000000000000000000000000000000000000000000
χ9288-8-8008008-8-800000-20022-200000000-225−2500220000-225−2525−250000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-400-444−4i34i34i3−4i30-20022-2000000001−252500-1-1−i15i15−i15i1515−55−5i3−i3−i3i3000000000000000000000000000000000000000000000000000000000
χ9488-8-800-400-444−4i34i34i3−4i30-20022-200000000125−2500-1-1i15−i15i15−i151−55−55i3−i3−i3i3000000000000000000000000000000000000000000000000000000000
χ9588-8-800-400-4444i3−4i3−4i34i30-20022-2000000001−252500-1-1i15−i15i15−i1515−55−5−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ9688-8-800-400-4444i3−4i3−4i34i30-20022-200000000125−2500-1-1−i15i15−i15i151−55−55−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ978-88-80088i−8i-88-88i8i−8i−8i0-2002-2200000000-200−2i2i-22000020000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000
χ988-88-8008−8i8i-88-8−8i−8i8i8i0-2002-2200000000-2002i−2i-220000200002i2i−2i−2i000000000000000000000000000000000000000000000000000000000
χ998-88-800-48i−8i4-44−4i−4i4i4i0-2002-2200000000100−2i2i1-1−i15i15i15−i15-1−151515−15ii−i−i000000000000000000000000000000000000000000000000000000000
χ1008-88-800-48i−8i4-44−4i−4i4i4i0-2002-2200000000100−2i2i1-1i15−i15−i15i15-115−15−1515ii−i−i000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4−8i8i4-444i4i−4i−4i0-2002-22000000001002i−2i1-1−i15i15i15−i15-115−15−1515−i−iii000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4−8i8i4-444i4i−4i−4i0-2002-22000000001002i−2i1-1i15−i15−i15i15-1−151515−15−i−iii000000000000000000000000000000000000000000000000000000000
χ1038-8-888-8800-8-8800000-28-8-222000000-22-200002-2-2-222200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-8-40044-443−4343−430-2-44-22243−430000-2210000-1111-1-1-1−3−333−33−33000000000000000000000000000000000000000000000000000000000
χ1058-8-888-8-40044-4−4343−43430-2-44-222−43430000-2210000-1111-1-1-133−3−33−33−3000000000000000000000000000000000000000000000000000000000
χ1068-8-88-88800-8-8800000-2-88-2220000002-2-200002-222-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-40044-443−4343−430-24-4-222−434300002-210000-11-1-111-133−3−3−33−33000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-40044-4−4343−43430-24-4-22243−4300002-210000-11-1-111-1−3−3333−33−3000000000000000000000000000000000000000000000000000000000

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