Finite Group Databasebeta

← Group #10624075

Character table — Group #10624075

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222222222224444688888888888888888888888888881212121212121215156060606090
order123556101015151515303030303366433661515151515151515151515153030303030303030303030301220206060606044121212122
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ31111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1+i32−1+i321
χ41111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111-1-11+i321+i321−i321−i32-1
χ51111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1−i32−1−i321
χ61111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111-1-11−i321−i321+i321+i32-1
χ7222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1−52−1+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+522−1−52−1+52−1−52−1−52−1+52−1+520000000
χ8222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ382−1−52−1+52−1−52−1−52−1+52−1+520000000
χ9222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ582−1−52−1+52−1−52−1−52−1+52−1+520000000
χ10222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+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+52−1−52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−520000000
χ11222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ262−1+52−1−52−1+52−1+52−1−52−1−520000000
χ12222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ462−1+52−1−52−1+52−1+52−1−52−1−520000000
χ1322-122-122-1-1-1-1-1-1-1-122222-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1-122-1-1-1-10000000
χ1422-122-122-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32-122-1-1-1-10000000
χ1522-122-122-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32-122-1-1-1-10000000
χ1622-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ5822222-1-1-1-1−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ1722-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ1822-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ1922-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ3822222-1-1-1-1−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ2022-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ2122-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ2222-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ3422222-1-1-1-1−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ2322-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ2422-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ2522-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ4622222-1-1-1-1−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ2622-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ2722-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ282-2222-2-2-22222-2-2-2-2-1-1110-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111100000002i−2ii−ii−i0
χ292-2222-2-2-22222-2-2-2-2-1-1110-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000−2i2i−ii−ii0
χ302-2222-2-2-22222-2-2-2-21+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000002i−2i−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ590
χ312-2222-2-2-22222-2-2-2-21+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000−2i2iζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ590
χ322-2222-2-2-22222-2-2-2-21−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000002i−2i−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ430
χ332-2222-2-2-22222-2-2-2-21−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000−2i2iζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ430
χ3433333333333333330000-10000000000000000000000000000-1-1-1-1-1-1-1330000-1
χ3533333333333333330000-10000000000000000000000000000-1-1-1-1-1-1-1-3-300001
χ364-44−1−5−1+5-41+51−5−1−5−1−5−1+5−1+51+51+51−51−5-2-2220-2-2221+521+521+521−521−521−521+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5200000000000000
χ374-44−1−5−1+5-41+51−5−1−5−1−5−1+5−1+51+51+51−51−51+i31−i3−1−i3−1+i301+i31−i3−1−i3−1+i3ζ34+ζ46ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ2+ζ38−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ3800000000000000
χ384-44−1−5−1+5-41+51−5−1−5−1−5−1+5−1+51+51+51−51−51−i31+i3−1+i3−1−i301−i31+i3−1+i3−1−i3ζ14+ζ26ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ22+ζ58−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ22−ζ5800000000000000
χ394-44−1+5−1−5-41−51+5−1+5−1+5−1−5−1−51−51−51+51+5-2-2220-2-2221−521−521−521+521+521+521−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5200000000000000
χ404-44−1+5−1−5-41−51+5−1+5−1+5−1−5−1−51−51−51+51+51+i31−i3−1−i3−1+i301+i31−i3−1−i3−1+i3ζ22+ζ58ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ34+ζ46ζ2+ζ38ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ14+ζ26−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ2600000000000000
χ414-44−1+5−1−5-41−51+5−1+5−1+5−1−5−1−51−51−51+51+51−i31+i3−1+i3−1−i301−i31+i3−1+i3−1−i3ζ2+ζ38ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ14+ζ26ζ22+ζ58ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ34+ζ46−ζ2−ζ38−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ34−ζ4600000000000000
χ424-4-2442-4-4-2-2-2-22222-2-222011-1-1-211-211-211-2112-1-12-1-12-1-12-1-100000000000000
χ434-4-2442-4-4-2-2-2-222221+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i321+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i3200000000000000
χ444-4-2442-4-4-2-2-2-222221−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i321−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i3200000000000000
χ454-4-2−1−5−1+521+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58-2-222011-1-11+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ581+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ5800000000000000
χ464-4-2−1−5−1+521+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ581+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32ζ34+ζ46ζ14−ζ26−ζ46−ζ14+ζ26−ζ34ζ22+ζ58ζ2−ζ38−ζ58−ζ2−ζ22+ζ38ζ14+ζ26−ζ14−ζ34+ζ46−ζ26+ζ34−ζ46ζ2+ζ38−ζ2−ζ22+ζ58ζ22−ζ38−ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ5800000000000000
χ474-4-2−1−5−1+521+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ581−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32ζ14+ζ26−ζ14−ζ34+ζ46−ζ26+ζ34−ζ46ζ2+ζ38−ζ2−ζ22+ζ58ζ22−ζ38−ζ58ζ34+ζ46ζ14−ζ26−ζ46−ζ14+ζ26−ζ34ζ22+ζ58ζ2−ζ38−ζ58−ζ2−ζ22+ζ38−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ3800000000000000
χ484-4-2−1−5−1+521+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38-2-222011-1-11+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ381+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ3800000000000000
χ494-4-2−1−5−1+521+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ381+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32ζ34+ζ46−ζ14+ζ26−ζ34ζ14−ζ26−ζ46ζ22+ζ58−ζ2−ζ22+ζ38ζ2−ζ38−ζ58ζ14+ζ26−ζ26+ζ34−ζ46−ζ14−ζ34+ζ46ζ2+ζ38ζ22−ζ38−ζ58−ζ2−ζ22+ζ58−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ5800000000000000
χ504-4-2−1−5−1+521+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ381−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32ζ14+ζ26−ζ26+ζ34−ζ46−ζ14−ζ34+ζ46ζ2+ζ38ζ22−ζ38−ζ58−ζ2−ζ22+ζ58ζ34+ζ46−ζ14+ζ26−ζ34ζ14−ζ26−ζ46ζ22+ζ58−ζ2−ζ22+ζ38ζ2−ζ38−ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ5800000000000000
χ514-4-2−1+5−1−521−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34-2-222011-1-11−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ341−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ3400000000000000
χ524-4-2−1+5−1−521−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ341+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32ζ22+ζ58ζ2−ζ38−ζ58−ζ2−ζ22+ζ38ζ34+ζ46−ζ14+ζ26−ζ34ζ14−ζ26−ζ46ζ2+ζ38−ζ2−ζ22+ζ58ζ22−ζ38−ζ58ζ14+ζ26−ζ26+ζ34−ζ46−ζ14−ζ34+ζ46−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ4600000000000000
χ534-4-2−1+5−1−521−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ341−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32ζ2+ζ38−ζ2−ζ22+ζ58ζ22−ζ38−ζ58ζ14+ζ26−ζ26+ζ34−ζ46−ζ14−ζ34+ζ46ζ22+ζ58ζ2−ζ38−ζ58−ζ2−ζ22+ζ38ζ34+ζ46−ζ14+ζ26−ζ34ζ14−ζ26−ζ46−ζ2−ζ38ζ2+ζ22−ζ58−ζ22+ζ38+ζ58−ζ14−ζ26ζ26−ζ34+ζ46ζ14+ζ34−ζ46−ζ22−ζ58−ζ2+ζ38+ζ58ζ2+ζ22−ζ38−ζ34−ζ46ζ14−ζ26+ζ34−ζ14+ζ26+ζ4600000000000000
χ544-4-2−1+5−1−521−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46-2-222011-1-11−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ461−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ4600000000000000
χ554-4-2−1+5−1−521−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ461+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32ζ22+ζ58−ζ2−ζ22+ζ38ζ2−ζ38−ζ58ζ34+ζ46ζ14−ζ26−ζ46−ζ14+ζ26−ζ34ζ2+ζ38ζ22−ζ38−ζ58−ζ2−ζ22+ζ58ζ14+ζ26−ζ14−ζ34+ζ46−ζ26+ζ34−ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ34−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ4600000000000000
χ564-4-2−1+5−1−521−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ461−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32ζ2+ζ38ζ22−ζ38−ζ58−ζ2−ζ22+ζ58ζ14+ζ26−ζ14−ζ34+ζ46−ζ26+ζ34−ζ46ζ22+ζ58−ζ2−ζ22+ζ38ζ2−ζ38−ζ58ζ34+ζ46ζ14−ζ26−ζ46−ζ14+ζ26−ζ34−ζ2−ζ38−ζ22+ζ38+ζ58ζ2+ζ22−ζ58−ζ14−ζ26ζ14+ζ34−ζ46ζ26−ζ34+ζ46−ζ22−ζ58ζ2+ζ22−ζ38−ζ2+ζ38+ζ58−ζ34−ζ46−ζ14+ζ26+ζ46ζ14−ζ26+ζ3400000000000000
χ57666−3−352−3+3526−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+3520000-20000000000000000000000000000-21+521−521+521+521−521−520000000
χ58666−3+352−3−3526−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−3520000-20000000000000000000000000000-21−521+521−521−521+521+520000000
χ5966-366-366-3-3-3-3-3-3-3-30000-200000000000000000000000000001-2-211110000000
χ6066-3−3−352−3+352-3−3−352−3+352−3ζ26−3ζ34−3ζ14−3ζ46−3ζ22−3ζ38−3ζ2−3ζ58−3ζ26−3ζ34−3ζ14−3ζ46−3ζ22−3ζ38−3ζ2−3ζ580000-2000000000000000000000000000011+521−52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580000000
χ6166-3−3−352−3+352-3−3−352−3+352−3ζ14−3ζ46−3ζ26−3ζ34−3ζ2−3ζ58−3ζ22−3ζ38−3ζ14−3ζ46−3ζ26−3ζ34−3ζ2−3ζ58−3ζ22−3ζ380000-2000000000000000000000000000011+521−52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380000000
χ6266-3−3+352−3−352-3−3+352−3−352−3ζ22−3ζ38−3ζ2−3ζ58−3ζ14−3ζ46−3ζ26−3ζ34−3ζ22−3ζ38−3ζ2−3ζ58−3ζ14−3ζ46−3ζ26−3ζ340000-2000000000000000000000000000011−521+52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340000000
χ6366-3−3+352−3−352-3−3+352−3−352−3ζ2−3ζ58−3ζ22−3ζ38−3ζ26−3ζ34−3ζ14−3ζ46−3ζ2−3ζ58−3ζ22−3ζ38−3ζ26−3ζ34−3ζ14−3ζ460000-2000000000000000000000000000011−521+52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460000000

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