Finite Group Databasebeta

← Group #14300577

Character table — Group #14300577

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order122234444666121212122566101010121244441010152020202030303030303030606060606060606022226666121212124444444446612121212121212121212121212121212121244202020208888888824
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
χ91111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-11
χ101111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1111-1
χ111111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-111-11
χ121111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-11-1
χ131111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i−i−iii1-1
χ141111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iiiii−i−i-11
χ151111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iiiii−i−i1-1
χ161111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i−i−iii-11
χ1722222-2-222222-2-2-2-2-22-2-2222222222-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-22222-20000000022-2-200000000000000000000000000000000
χ1822222-2-222222-2-2-2-2-22-2-222222-2-2-2-2-2-22-2-22222-2-2-2-22-2-2-2-22222-2-2222222-2-2-2-2200000000-2-22200000000000000000000000000000000
χ1922222-2-2-2-2222-2-2-2-22222222-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222200000000-2-22200000000000000000000000000000000
χ2022222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-20000000022-2-200000000000000000000000000000000
χ212222-12222-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-12222-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ232222-12222-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ242222-12222-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-222-1-1-1-1-1-1-1-1-222-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-222-1-1-1-1-1-1-1-1-2-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-21111111122i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-2111111112−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ292222-1-2-222-1-1-11111-2211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-122-2-21111-1-1-1-1-200000000-1-11133−3−333−3−333−3−333−3−30000000000000000
χ302222-1-2-222-1-1-11111-2211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-122-2-21111-1-1-1-1-200000000-1-111−3−333−3−333−3−333−3−3330000000000000000
χ312222-1-2-222-1-1-11111-2211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222-1-1-1-1111120000000011-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ322222-1-2-222-1-1-11111-2211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222-1-1-1-1111120000000011-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ332222-1-2-2-2-2-1-1-1111122-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-21111-1-1-1-120000000011-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ342222-1-2-2-2-2-1-1-1111122-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-21111-1-1-1-120000000011-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ352222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-1-1-1-11111-200000000-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ362222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-1-1-1-11111-200000000-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3722-2-22002i−2i2-2-200000200-22-22i−2i2i−2i2i−2i002002i−2i2-20000-200002i2i−2i−2i2-20000002i2i−2i−2i01+i−1−i1−i−1+i1−i−1+i1+i−1−i2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ3822-2-22002i−2i2-2-200000200-22-22i−2i2i−2i2i−2i002002i−2i2-20000-200002i2i−2i−2i2-20000002i2i−2i−2i0−1−i1+i−1+i1−i−1+i1−i−1−i1+i2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ3922-2-22002i−2i2-2-200000200-22-22i−2i−2i2i−2i2i002002i−2i2-20000-200002i2i−2i−2i-22000000−2i−2i2i2i01−i−1+i−1−i1+i1+i−1−i−1+i1−i-22001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i0000000000000000
χ4022-2-22002i−2i2-2-200000200-22-22i−2i−2i2i−2i2i002002i−2i2-20000-200002i2i−2i−2i-22000000−2i−2i2i2i0−1+i1−i1+i−1−i−1−i1+i1−i−1+i-2200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000000000
χ4122-2-2200−2i2i2-2-200000200-22-2−2i2i2i−2i2i−2i00200−2i2i2-20000-20000−2i−2i2i2i-220000002i2i−2i−2i01+i−1−i−1+i1−i1−i−1+i−1−i1+i-22001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000000000000
χ4222-2-2200−2i2i2-2-200000200-22-2−2i2i2i−2i2i−2i00200−2i2i2-20000-20000−2i−2i2i2i-220000002i2i−2i−2i0−1−i1+i1−i−1+i−1+i1−i1+i−1−i-2200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000000000000
χ4322-2-2200−2i2i2-2-200000200-22-2−2i2i−2i2i−2i2i00200−2i2i2-20000-20000−2i−2i2i2i2-2000000−2i−2i2i2i01−i−1+i1+i−1−i1+i−1−i1−i−1+i2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ4422-2-2200−2i2i2-2-200000200-22-2−2i2i−2i2i−2i2i00200−2i2i2-20000-20000−2i−2i2i2i2-2000000−2i−2i2i2i0−1+i1−i−1−i1+i−1−i1+i−1+i1−i2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ4522-2-2-1002i−2i-11133−3−302−i3i3-22-2−ii2i−2i2i−2i00-1002i−2i-11−i3−i3i3i3133−3−3−i−iii2-200−i3−i3i3i3−i−iii01+i−1−i1−i−1+i1−i−1+i1+i−1−i-113−3−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−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+ζ430000000000000000
χ4622-2-2-1002i−2i-11133−3−302−i3i3-22-2−ii2i−2i2i−2i00-1002i−2i-11−i3−i3i3i3133−3−3−i−iii2-200−i3−i3i3i3−i−iii0−1−i1+i−1+i1−i−1+i1−i−1−i1+i-113−3ζ11−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+ζ59ζ11−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−ζ430000000000000000
χ4722-2-2-1002i−2i-11133−3−302−i3i3-22-2−ii−2i2i−2i2i00-1002i−2i-11−i3−i3i3i3133−3−3−i−iii-2200i3i3−i3−i3ii−i−i01−i−1+i−1−i1+i1+i−1−i−1+i1−i1-1−33ζ2+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−ζ59ζ11−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−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−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
χ4822-2-2-1002i−2i-11133−3−302−i3i3-22-2−ii−2i2i−2i2i00-1002i−2i-11−i3−i3i3i3133−3−3−i−iii-2200i3i3−i3−i3ii−i−i0−1+i1−i1+i−1−i−1−i1+i1−i−1+i1-1−33−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−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+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−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−ζ590000000000000000
χ4922-2-2-1002i−2i-111−3−33302i3−i3-22-2−ii2i−2i2i−2i00-1002i−2i-11i3i3−i3−i31−3−333−i−iii2-200i3i3−i3−i3−i−iii01+i−1−i1−i−1+i1−i−1+i1+i−1−i-11−33ζ2−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−ζ43ζ2−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+ζ590000000000000000
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χ864-4-44-200002-22−232323−2304004-4-400−4i4i4i−4i00-200002-200002−232323−2300000000−2i32i32i3−2i32i−2i−2i2i000000000000000000000000000000000000000000000
χ878888-48888-4-4-4-4-4-4-48-2-4-4-2-2-2-4-40000-2-21-2-2-2-2111111111111111000000000000000000000000000000000000000000000000000000000
χ888888-488-8-8-4-4-4-4-4-4-4-8-244-2-2-2440000221-2-22211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ898888-4-8-888-4-4-44444-8-244-2-2-2-4-4000022122-2-211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000000000
χ908888-4-8-8-8-8-4-4-444448-2-4-4-2-2-2440000-2-2122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ9188-8-88008i−8i8-8-800000-2002-228i−8i000000-200−2i2i-22000020000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000
χ9288-8-8800−8i8i8-8-800000-2002-22−8i8i000000-2002i−2i-220000200002i2i−2i−2i000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4008i−8i-4444343−43−430-2−4i34i32-22−4i4i000000100−2i2i1-1i3i3−i3−i3-1−3−333ii−i−i000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4008i−8i-444−43−4343430-24i3−4i32-22−4i4i000000100−2i2i1-1−i3−i3i3i3-133−3−3ii−i−i000000000000000000000000000000000000000000000000000000000
χ9588-8-8-400−8i8i-4444343−43−430-24i3−4i32-224i−4i0000001002i−2i1-1−i3−i3i3i3-1−3−333−i−iii000000000000000000000000000000000000000000000000000000000
χ9688-8-8-400−8i8i-444−43−4343430-2−4i34i32-224i−4i0000001002i−2i1-1i3i3−i3−i3-133−3−3−i−iii000000000000000000000000000000000000000000000000000000000
χ978-88-888-800-8-888-88-80-20022-200000000-2-2200220000-2-22-220000000000000000000000000000000000000000000000000000000000000
χ988-88-88-8800-8-88-88-880-20022-200000000-22-200220000-22-22-20000000000000000000000000000000000000000000000000000000000000
χ998-88-8-48-80044-4-44-440-20022-2000000001-2200-1-1−i15i15−i15i1511-11-1−i15i15−i15i15000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-80044-4-44-440-20022-2000000001-2200-1-1i15−i15i15−i1511-11-1i15−i15i15−i15000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-880044-44-44-40-20022-20000000012-200-1-1−i15i15−i15i151-11-11i15−i15i15−i15000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-880044-44-44-40-20022-20000000012-200-1-1i15−i15i15−i151-11-11−i15i15−i15i15000000000000000000000000000000000000000000000000000000000
χ1038-8-8880000-88-800000-200-222000000−2525-200002-2−252525−25200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-8880000-88-800000-200-22200000025−25-200002-225−25−2525200000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-400004-4443−43−43430-200-222000000−252510000-115−5−55-1−333−3−151515−15000000000000000000000000000000000000000000000000000000000
χ1068-8-88-400004-4443−43−43430-200-22200000025−2510000-11−555−5-1−333−315−15−1515000000000000000000000000000000000000000000000000000000000
χ1078-8-88-400004-44−434343−430-200-222000000−252510000-115−5−55-13−3−3315−15−1515000000000000000000000000000000000000000000000000000000000
χ1088-8-88-400004-44−434343−430-200-22200000025−2510000-11−555−5-13−3−33−151515−15000000000000000000000000000000000000000000000000000000000

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