Finite Group Databasebeta

← Group #11752315

Character table — Group #11752315

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112224444445588888810101020202020202020202020112224444445588888810101020202020202020202020112224444445588888810101020202020202020202020
order1224444510101022202020202020244444444888836612121212153030306660606060606061212121212121212242424243661212121215303030666060606060606121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i
χ411111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii
χ511111-1-111111111-1-1-1-1111-1-11111-1-1-1-111111-1-111111111-1-1-1-1111-1-11111-1-1-1-111111-1-111111111-1-1-1-1111-1-11111-1-1-1-1
χ611111-1-111111111-1-1-1-1111-1-1-1-1-1-1111111111-1-111111111-1-1-1-1111-1-1-1-1-1-1111111111-1-111111111-1-1-1-1111-1-1-1-1-1-11111
χ711111-1-11111-1-111-1-1-1-1-1-1-111ii−i−i−i−iii11111-1-11111-1-111-1-1-1-1-1-1-111ii−i−i−i−iii11111-1-11111-1-111-1-1-1-1-1-1-111ii−i−i−i−iii
χ811111-1-11111-1-111-1-1-1-1-1-1-111−i−iiiii−i−i11111-1-11111-1-111-1-1-1-1-1-1-111−i−iiiii−i−i11111-1-11111-1-111-1-1-1-1-1-1-111−i−iiiii−i−i
χ911-11-11-11-1-11111-111-1-1-1-111-11-11-11-11-111-11-11-11-1-11111-111-1-1-1-111-11-11-11-11-111-11-11-11-1-11111-111-1-1-1-111-11-11-11-11-1
χ1011-11-11-11-1-11111-111-1-1-1-111-1-11-11-11-1111-11-11-11-1-11111-111-1-1-1-111-1-11-11-11-1111-11-11-11-1-11111-111-1-1-1-111-1-11-11-11-11
χ1111-11-11-11-1-11-1-11-111-1-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-11-111-1-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-11-111-1-111-1-11i−i−iii−i−ii
χ1211-11-11-11-1-11-1-11-111-1-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-11-111-1-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-11-111-1-111-1-11−iii−i−iii−i
χ1311-11-1-111-1-11111-1-1-111-1-11-111-11-1-11-1111-11-1-111-1-11111-1-1-111-1-11-111-11-1-11-1111-11-1-111-1-11111-1-1-111-1-11-111-11-1-11-11
χ1411-11-1-111-1-11111-1-1-111-1-11-11-11-111-11-111-11-1-111-1-11111-1-1-111-1-11-11-11-111-11-111-11-1-111-1-11111-1-1-111-1-11-11-11-111-11-1
χ1511-11-1-111-1-11-1-11-1-1-11111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-11-1-1-11111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-11-1-1-11111-11-1i−i−ii−iii−i
χ1611-11-1-111-1-11-1-11-1-1-11111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-11-1-1-11111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-11-1-1-11111-11-1−iii−ii−i−ii
χ17222-2-200222222-2-200002-2-20000000000222-2-200222222-2-200002-2-20000000000222-2-200222222-2-200002-2-20000000000
χ18222-2-2002222-2-2-2-20000-2220000000000222-2-2002222-2-2-2-20000-2220000000000222-2-2002222-2-2-2-20000-2220000000000
χ1922-2-22002-2-2222-220000-22-2000000000022-2-22002-2-2222-220000-22-2000000000022-2-22002-2-2222-220000-22-20000000000
χ2022-2-22002-2-22-2-2-2200002-22000000000022-2-22002-2-22-2-2-2200002-22000000000022-2-22002-2-22-2-2-2200002-220000000000
χ214444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-10000000000000
χ2244444-4-4-1-1-1-100-1-11111000000000000044444-4-4-1-1-1-100-1-11111000000000000044444-4-4-1-1-1-100-1-111110000000000000
χ23444-4-400-1-1-1-100115−55−50000000000000444-4-400-1-1-1-100115−55−50000000000000444-4-400-1-1-1-100115−55−50000000000000
χ24444-4-400-1-1-1-10011−55−550000000000000444-4-400-1-1-1-10011−55−550000000000000444-4-400-1-1-1-10011−55−550000000000000
χ2544-44-44-4-111-100-11-1-111000000000000044-44-44-4-111-100-11-1-111000000000000044-44-44-4-111-100-11-1-1110000000000000
χ2644-44-4-44-111-100-1111-1-1000000000000044-44-4-44-111-100-1111-1-1000000000000044-44-4-44-111-100-1111-1-10000000000000
χ2744-4-4400-111-1001-15−5−55000000000000044-4-4400-111-1001-15−5−55000000000000044-4-4400-111-1001-15−5−550000000000000
χ2844-4-4400-111-1001-1−555−5000000000000044-4-4400-111-1001-1−555−5000000000000044-4-4400-111-1001-1−555−50000000000000
χ294-400000400-44-400000000000000000004-400000400-44-400000000000000000004-400000400-44-40000000000000000000
χ304-400000400-4-4400000000000000000004-400000400-4-4400000000000000000004-400000400-4-440000000000000000000
χ318-800000-225−2520000000000000000000008-800000-225−2520000000000000000000008-800000-225−252000000000000000000000
χ328-800000-2−252520000000000000000000008-800000-2−252520000000000000000000008-800000-2−25252000000000000000000000
χ3311111111111111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−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
χ3511111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ3611111111111-1-1111111-1-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ3711111-1-111111111-1-1-1-1111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3811111-1-111111111-1-1-1-1111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3911111-1-11111-1-111-1-1-1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ4011111-1-11111-1-111-1-1-1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ4111-11-11-11-1-11111-111-1-1-1-111-11-11-11-11-1−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4211-11-11-11-1-11111-111-1-1-1-111-1-11-11-11-11−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ4311-11-11-11-1-11-1-11-111-1-111-1-11i−i−iii−i−ii−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ4411-11-11-11-1-11-1-11-111-1-111-1-11−iii−i−iii−i−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ4511-11-1-111-1-11111-1-1-111-1-11-111-11-1-11-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4611-11-1-111-1-11111-1-1-111-1-11-11-11-111-11-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ4711-11-1-111-1-11-1-11-1-1-11111-11-1i−i−ii−iii−i−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
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χ7511-11-11-11-1-11-1-11-111-1-111-1-11i−i−iii−i−ii−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ7611-11-11-11-1-11-1-11-111-1-111-1-11−iii−i−iii−i−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ7711-11-1-111-1-11111-1-1-111-1-11-111-11-1-11-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ7811-11-1-111-1-11111-1-1-111-1-11-11-11-111-11-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ7911-11-1-111-1-11-1-11-1-1-11111-11-1i−i−ii−iii−i−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ8011-11-1-111-1-11-1-11-1-1-11111-11-1−iii−ii−i−ii−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ81222-2-200222222-2-200002-2-20000000000−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i31+i30000000000−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i31−i30000000000
χ82222-2-2002222-2-2-2-20000-2220000000000−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i3−1−i30000000000−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i3−1+i30000000000
χ8322-2-22002-2-2222-220000-22-20000000000−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i300001+i3−1−i31+i30000000000−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i300001−i3−1+i31−i30000000000
χ8422-2-22002-2-22-2-2-2200002-220000000000−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3−1+i30000000000
χ854444444-1-1-1-100-1-1-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32001+i321+i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32001−i321−i321−i321−i321−i321−i320000000000000
χ8644444-4-4-1-1-1-100-1-111110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i321+i321+i321+i32001+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i321−i321−i321−i32001−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ87444-4-400-1-1-1-100115−55−50000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3001+i321+i321+i321+i3200−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3001−i321−i321−i321−i3200−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000000000
χ88444-4-400-1-1-1-10011−55−550000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3001+i321+i321+i321+i3200−1−i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3001−i321−i321−i321−i3200−1+i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000000000
χ8944-44-44-4-111-100-11-1-1110000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i32−1−i32−1−i321+i32001+i32−1−i321+i321+i32−1−i32−1−i320000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i32−1+i32−1+i321−i32001−i32−1+i321−i321−i32−1+i32−1+i320000000000000
χ9044-44-4-44-111-100-1111-1-10000000000000−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i32−1−i32−1−i321+i32001+i32−1−i32−1−i32−1−i321+i321+i320000000000000−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i32−1+i32−1+i321−i32001−i32−1+i32−1+i32−1+i321−i321−i320000000000000
χ9144-4-4400-111-1001-15−5−550000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3001+i32−1−i32−1−i321+i3200−1−i321+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3001−i32−1+i32−1+i321−i3200−1+i321−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000000000
χ9244-4-4400-111-1001-1−555−50000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3001+i32−1−i32−1−i321+i3200−1−i321+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3001−i32−1+i32−1+i321−i3200−1+i321−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000000000
χ934-400000400-44-40000000000000000000−2−2i32+2i300000−2−2i3002+2i3−2−2i32+2i30000000000000000000−2+2i32−2i300000−2+2i3002−2i3−2+2i32−2i30000000000000000000
χ944-400000400-4-440000000000000000000−2−2i32+2i300000−2−2i3002+2i32+2i3−2−2i30000000000000000000−2+2i32−2i300000−2+2i3002−2i32−2i3−2+2i30000000000000000000
χ958-800000-225−252000000000000000000000−4−4i34+4i3000001+i3−2ζ22+2ζ34+2ζ46−2ζ582ζ22−2ζ34−2ζ46+2ζ58−1−i3000000000000000000000−4+4i34−4i3000001−i3−2ζ2+2ζ14+2ζ26−2ζ382ζ2−2ζ14−2ζ26+2ζ38−1+i3000000000000000000000
χ968-800000-2−25252000000000000000000000−4−4i34+4i3000001+i32ζ22−2ζ34−2ζ46+2ζ58−2ζ22+2ζ34+2ζ46−2ζ58−1−i3000000000000000000000−4+4i34−4i3000001−i32ζ2−2ζ14−2ζ26+2ζ38−2ζ2+2ζ14+2ζ26−2ζ38−1+i3000000000000000000000

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