Finite Group Databasebeta

← Group #72245982

Character table — Group #72245982

Order 4704.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111226666666612121212121212121212121212121212121212121212121212121212282828284949494949494949848484848484848498989898989898989898989898989898196196196196196196196196
order1244247714142828282877714141414141414141414142828282828282828282828282828248833661212121214142828565656564444661212121212121212121266121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−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
χ31111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+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
χ411111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ611111111111111111111111111111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ7111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1+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
χ9111111111111111111111111111111111111111111-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1−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
χ10111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ11111111111111111111111111111111111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i32
χ12111111111111111111111111111111111111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i32
χ1311-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1i−i1111-1-1-1-111-1-1ii−i−iii−i−i-1-111ii−i−iii−i−i11-1-1i−ii−i
χ1411-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1ii−i−iii−i−i1+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ1511-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1ii−i−iii−i−i1−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ1611-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1−ii1111-1-1-1-111-1-1−i−iii−i−iii-1-111−i−iii−i−iii11-1-1−ii−ii
χ1711-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1−i−iii−i−iii1+i321−i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ1811-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1−i−iii−i−iii1−i321+i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ1911-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11i−i1111-1-1-1-1-1-111ii−i−i−i−iii-1-111−i−iii−i−iii-1-111i−ii−i
χ2011-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111ii−i−i−i−iii1+i321−i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ2111-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111ii−i−i−i−iii1−i321+i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ2211-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11−ii1111-1-1-1-1-1-111−i−iiiii−i−i-1-111ii−i−iii−i−i-1-111−ii−ii
χ2311-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−i−iiiii−i−i1+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791+i321−i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ2411-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−i−iiiii−i−i1−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831−i321+i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ252222-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222222000022222222000000000000-2-2-2-20000000000000000
χ262222-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22222220000−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000000000001+i31−i31+i31−i30000000000000000
χ272222-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22222220000−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000000000001−i31+i31−i31+i30000000000000000
χ2822-2-22-22222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222-2-2-2-200000000000022-2-20000000000000000
χ2922-2-22-22222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000000000−1−i3−1+i31+i31−i30000000000000000
χ3022-2-22-22222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000000000−1+i3−1−i31−i31+i30000000000000000
χ312-22i−2i0022-2-22i−2i2i−2i22200000000-2-2-2000000002i2i2i−2i−2i−2i000022-2-22i−2i2i−2i000000001+i−1−i1−i−1+i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ322-22i−2i0022-2-22i−2i2i−2i22200000000-2-2-2000000002i2i2i−2i−2i−2i000022-2-22i−2i2i−2i00000000−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ332-22i−2i0022-2-22i−2i2i−2i22200000000-2-2-2000000002i2i2i−2i−2i−2i0000−1−i3−1+i31+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000001+i−1−i1−i−1+i0000ζ2+ζ11+ζ23+ζ26+ζ38+ζ47+ζ50+ζ59+ζ62+ζ71+ζ74+ζ83−ζ2−ζ11−ζ23−ζ26−ζ38−ζ47−ζ50−ζ59−ζ62−ζ71−ζ74−ζ83ζ2−ζ11−ζ23+ζ26+ζ38−ζ47+ζ50−ζ59+ζ62−ζ71+ζ74−ζ83−ζ2+ζ11+ζ23−ζ26−ζ38+ζ47−ζ50+ζ59−ζ62+ζ71−ζ74+ζ83ζ10+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ55+ζ58+ζ67+ζ79+ζ82−ζ10−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ55−ζ58−ζ67−ζ79−ζ82ζ10−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46−ζ55+ζ58−ζ67−ζ79+ζ82−ζ10+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46+ζ55−ζ58+ζ67+ζ79−ζ8200000000
χ342-22i−2i0022-2-22i−2i2i−2i22200000000-2-2-2000000002i2i2i−2i−2i−2i0000−1−i3−1+i31+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ7900000000−1−i1+i−1+i1−i0000−ζ2−ζ11−ζ23−ζ26−ζ38−ζ47−ζ50−ζ59−ζ62−ζ71−ζ74−ζ83ζ2+ζ11+ζ23+ζ26+ζ38+ζ47+ζ50+ζ59+ζ62+ζ71+ζ74+ζ83−ζ2+ζ11+ζ23−ζ26−ζ38+ζ47−ζ50+ζ59−ζ62+ζ71−ζ74+ζ83ζ2−ζ11−ζ23+ζ26+ζ38−ζ47+ζ50−ζ59+ζ62−ζ71+ζ74−ζ83−ζ10−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ55−ζ58−ζ67−ζ79−ζ82ζ10+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ55+ζ58+ζ67+ζ79+ζ82−ζ10+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46+ζ55−ζ58+ζ67+ζ79−ζ82ζ10−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46−ζ55+ζ58−ζ67−ζ79+ζ8200000000
χ352-22i−2i0022-2-22i−2i2i−2i22200000000-2-2-2000000002i2i2i−2i−2i−2i0000−1+i3−1−i31−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000001+i−1−i1−i−1+i0000ζ10+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ55+ζ58+ζ67+ζ79+ζ82−ζ10−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ55−ζ58−ζ67−ζ79−ζ82ζ10−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46−ζ55+ζ58−ζ67−ζ79+ζ82−ζ10+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46+ζ55−ζ58+ζ67+ζ79−ζ82ζ2+ζ11+ζ23+ζ26+ζ38+ζ47+ζ50+ζ59+ζ62+ζ71+ζ74+ζ83−ζ2−ζ11−ζ23−ζ26−ζ38−ζ47−ζ50−ζ59−ζ62−ζ71−ζ74−ζ83ζ2−ζ11−ζ23+ζ26+ζ38−ζ47+ζ50−ζ59+ζ62−ζ71+ζ74−ζ83−ζ2+ζ11+ζ23−ζ26−ζ38+ζ47−ζ50+ζ59−ζ62+ζ71−ζ74+ζ8300000000
χ362-22i−2i0022-2-22i−2i2i−2i22200000000-2-2-2000000002i2i2i−2i−2i−2i0000−1+i3−1−i31−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300000000−1−i1+i−1+i1−i0000−ζ10−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ55−ζ58−ζ67−ζ79−ζ82ζ10+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ55+ζ58+ζ67+ζ79+ζ82−ζ10+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46+ζ55−ζ58+ζ67+ζ79−ζ82ζ10−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46−ζ55+ζ58−ζ67−ζ79+ζ82−ζ2−ζ11−ζ23−ζ26−ζ38−ζ47−ζ50−ζ59−ζ62−ζ71−ζ74−ζ83ζ2+ζ11+ζ23+ζ26+ζ38+ζ47+ζ50+ζ59+ζ62+ζ71+ζ74+ζ83−ζ2+ζ11+ζ23−ζ26−ζ38+ζ47−ζ50+ζ59−ζ62+ζ71−ζ74+ζ83ζ2−ζ11−ζ23+ζ26+ζ38−ζ47+ζ50−ζ59+ζ62−ζ71+ζ74−ζ8300000000
χ372-2−2i2i0022-2-2−2i2i−2i2i22200000000-2-2-200000000−2i−2i−2i2i2i2i000022-2-2−2i2i−2i2i000000001−i−1+i1+i−1−i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
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χ8412-12−12i12i00-2-2222i−2i2i−2iζ2−2ζ10+ζ26−2ζ38−2ζ46+ζ58−2ζ74+ζ82ζ10−2ζ22−2ζ34+ζ38+ζ46−2ζ50−2ζ62+ζ74−2ζ2+ζ22−2ζ26+ζ34+ζ50−2ζ58+ζ62−2ζ8200ζ2+2ζ10+4ζ22+ζ26+4ζ34+2ζ38+2ζ46+4ζ50+ζ58+4ζ62+2ζ74+ζ82−ζ2−2ζ10−4ζ22−ζ26−4ζ34−2ζ38−2ζ46−4ζ50−ζ58−4ζ62−2ζ74−ζ824ζ2+ζ10+2ζ22+4ζ26+2ζ34+ζ38+ζ46+2ζ50+4ζ58+2ζ62+ζ74+4ζ82−4ζ2−ζ10−2ζ22−4ζ26−2ζ34−ζ38−ζ46−2ζ50−4ζ58−2ζ62−ζ74−4ζ822ζ2+4ζ10+ζ22+2ζ26+ζ34+4ζ38+4ζ46+ζ50+2ζ58+ζ62+4ζ74+2ζ82−2ζ2−4ζ10−ζ22−2ζ26−ζ34−4ζ38−4ζ46−ζ50−2ζ58−ζ62−4ζ74−2ζ82−ζ2+2ζ10−ζ26+2ζ38+2ζ46−ζ58+2ζ74−ζ82−ζ10+2ζ22+2ζ34−ζ38−ζ46+2ζ50+2ζ62−ζ742ζ2−ζ22+2ζ26−ζ34−ζ50+2ζ58−ζ62+2ζ82002ζ11+ζ19+ζ23+2ζ31+4ζ43+ζ47+4ζ55+2ζ59+2ζ67+4ζ71+ζ79+4ζ83−2ζ11−ζ19−ζ23−2ζ31−4ζ43−ζ47−4ζ55−2ζ59−2ζ67−4ζ71−ζ79−4ζ83−ζ11−4ζ19−4ζ23−ζ31−2ζ43−4ζ47−2ζ55−ζ59−ζ67−2ζ71−4ζ79−2ζ83ζ11+4ζ19+4ζ23+ζ31+2ζ43+4ζ47+2ζ55+ζ59+ζ67+2ζ71+4ζ79+2ζ83−4ζ11−2ζ19−2ζ23−4ζ31−ζ43−2ζ47−ζ55−4ζ59−4ζ67−ζ71−2ζ79−ζ834ζ11+2ζ19+2ζ23+4ζ31+ζ43+2ζ47+ζ55+4ζ59+4ζ67+ζ71+2ζ79+ζ832ζ11−ζ19−ζ23+2ζ31−ζ47+2ζ59+2ζ67−ζ79−ζ11−ζ31+2ζ43+2ζ55−ζ59−ζ67+2ζ71+2ζ832ζ19+2ζ23−ζ43+2ζ47−ζ55−ζ71+2ζ79−ζ83−2ζ11+ζ19+ζ23−2ζ31+ζ47−2ζ59−2ζ67+ζ79ζ11+ζ31−2ζ43−2ζ55+ζ59+ζ67−2ζ71−2ζ83−2ζ19−2ζ23+ζ43−2ζ47+ζ55+ζ71−2ζ79+ζ8300000000000000000000000000000000000000000000
χ8512-12−12i12i00-2-2222i−2i2i−2iζ10−2ζ22−2ζ34+ζ38+ζ46−2ζ50−2ζ62+ζ74−2ζ2+ζ22−2ζ26+ζ34+ζ50−2ζ58+ζ62−2ζ82ζ2−2ζ10+ζ26−2ζ38−2ζ46+ζ58−2ζ74+ζ8200−4ζ2−ζ10−2ζ22−4ζ26−2ζ34−ζ38−ζ46−2ζ50−4ζ58−2ζ62−ζ74−4ζ824ζ2+ζ10+2ζ22+4ζ26+2ζ34+ζ38+ζ46+2ζ50+4ζ58+2ζ62+ζ74+4ζ82−2ζ2−4ζ10−ζ22−2ζ26−ζ34−4ζ38−4ζ46−ζ50−2ζ58−ζ62−4ζ74−2ζ822ζ2+4ζ10+ζ22+2ζ26+ζ34+4ζ38+4ζ46+ζ50+2ζ58+ζ62+4ζ74+2ζ82−ζ2−2ζ10−4ζ22−ζ26−4ζ34−2ζ38−2ζ46−4ζ50−ζ58−4ζ62−2ζ74−ζ82ζ2+2ζ10+4ζ22+ζ26+4ζ34+2ζ38+2ζ46+4ζ50+ζ58+4ζ62+2ζ74+ζ82−ζ10+2ζ22+2ζ34−ζ38−ζ46+2ζ50+2ζ62−ζ742ζ2−ζ22+2ζ26−ζ34−ζ50+2ζ58−ζ62+2ζ82−ζ2+2ζ10−ζ26+2ζ38+2ζ46−ζ58+2ζ74−ζ8200−ζ11−4ζ19−4ζ23−ζ31−2ζ43−4ζ47−2ζ55−ζ59−ζ67−2ζ71−4ζ79−2ζ83ζ11+4ζ19+4ζ23+ζ31+2ζ43+4ζ47+2ζ55+ζ59+ζ67+2ζ71+4ζ79+2ζ834ζ11+2ζ19+2ζ23+4ζ31+ζ43+2ζ47+ζ55+4ζ59+4ζ67+ζ71+2ζ79+ζ83−4ζ11−2ζ19−2ζ23−4ζ31−ζ43−2ζ47−ζ55−4ζ59−4ζ67−ζ71−2ζ79−ζ832ζ11+ζ19+ζ23+2ζ31+4ζ43+ζ47+4ζ55+2ζ59+2ζ67+4ζ71+ζ79+4ζ83−2ζ11−ζ19−ζ23−2ζ31−4ζ43−ζ47−4ζ55−2ζ59−2ζ67−4ζ71−ζ79−4ζ83−ζ11−ζ31+2ζ43+2ζ55−ζ59−ζ67+2ζ71+2ζ832ζ19+2ζ23−ζ43+2ζ47−ζ55−ζ71+2ζ79−ζ832ζ11−ζ19−ζ23+2ζ31−ζ47+2ζ59+2ζ67−ζ79ζ11+ζ31−2ζ43−2ζ55+ζ59+ζ67−2ζ71−2ζ83−2ζ19−2ζ23+ζ43−2ζ47+ζ55+ζ71−2ζ79+ζ83−2ζ11+ζ19+ζ23−2ζ31+ζ47−2ζ59−2ζ67+ζ7900000000000000000000000000000000000000000000
χ8612-12−12i12i00-2-2222i−2i2i−2iζ10−2ζ22−2ζ34+ζ38+ζ46−2ζ50−2ζ62+ζ74−2ζ2+ζ22−2ζ26+ζ34+ζ50−2ζ58+ζ62−2ζ82ζ2−2ζ10+ζ26−2ζ38−2ζ46+ζ58−2ζ74+ζ82004ζ2+ζ10+2ζ22+4ζ26+2ζ34+ζ38+ζ46+2ζ50+4ζ58+2ζ62+ζ74+4ζ82−4ζ2−ζ10−2ζ22−4ζ26−2ζ34−ζ38−ζ46−2ζ50−4ζ58−2ζ62−ζ74−4ζ822ζ2+4ζ10+ζ22+2ζ26+ζ34+4ζ38+4ζ46+ζ50+2ζ58+ζ62+4ζ74+2ζ82−2ζ2−4ζ10−ζ22−2ζ26−ζ34−4ζ38−4ζ46−ζ50−2ζ58−ζ62−4ζ74−2ζ82ζ2+2ζ10+4ζ22+ζ26+4ζ34+2ζ38+2ζ46+4ζ50+ζ58+4ζ62+2ζ74+ζ82−ζ2−2ζ10−4ζ22−ζ26−4ζ34−2ζ38−2ζ46−4ζ50−ζ58−4ζ62−2ζ74−ζ82−ζ10+2ζ22+2ζ34−ζ38−ζ46+2ζ50+2ζ62−ζ742ζ2−ζ22+2ζ26−ζ34−ζ50+2ζ58−ζ62+2ζ82−ζ2+2ζ10−ζ26+2ζ38+2ζ46−ζ58+2ζ74−ζ8200ζ11+4ζ19+4ζ23+ζ31+2ζ43+4ζ47+2ζ55+ζ59+ζ67+2ζ71+4ζ79+2ζ83−ζ11−4ζ19−4ζ23−ζ31−2ζ43−4ζ47−2ζ55−ζ59−ζ67−2ζ71−4ζ79−2ζ83−4ζ11−2ζ19−2ζ23−4ζ31−ζ43−2ζ47−ζ55−4ζ59−4ζ67−ζ71−2ζ79−ζ834ζ11+2ζ19+2ζ23+4ζ31+ζ43+2ζ47+ζ55+4ζ59+4ζ67+ζ71+2ζ79+ζ83−2ζ11−ζ19−ζ23−2ζ31−4ζ43−ζ47−4ζ55−2ζ59−2ζ67−4ζ71−ζ79−4ζ832ζ11+ζ19+ζ23+2ζ31+4ζ43+ζ47+4ζ55+2ζ59+2ζ67+4ζ71+ζ79+4ζ83−ζ11−ζ31+2ζ43+2ζ55−ζ59−ζ67+2ζ71+2ζ832ζ19+2ζ23−ζ43+2ζ47−ζ55−ζ71+2ζ79−ζ832ζ11−ζ19−ζ23+2ζ31−ζ47+2ζ59+2ζ67−ζ79ζ11+ζ31−2ζ43−2ζ55+ζ59+ζ67−2ζ71−2ζ83−2ζ19−2ζ23+ζ43−2ζ47+ζ55+ζ71−2ζ79+ζ83−2ζ11+ζ19+ζ23−2ζ31+ζ47−2ζ59−2ζ67+ζ7900000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.