Finite Group Databasebeta

← Group #11752260

Character table — Group #11752260

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112224444445588888810101020202020202020202020112224444445588888810101020202020202020202020112224444445588888810101020202020202020202020
order122445881020202210204040404024444444444883661212152424306060663060120120120120612121212121212121212242436612121524243060606630601201201201206121212121212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111
χ311111111111-1-1111111-1-1-1i−iiii−i−i−i-1-111111111111-1-1111111-1-1-1i−iiii−i−i−i-1-111111111111-1-1111111-1-1-1i−iiii−i−i−i-1-1
χ411111111111-1-1111111-1-1-1−ii−i−i−iiii-1-111111111111-1-1111111-1-1-1−ii−i−i−iiii-1-111111111111-1-1111111-1-1-1−ii−i−i−iiii-1-1
χ5111111-1-11111111-1-1-1-1111111-1-11-1-1-1-1111111-1-11111111-1-1-1-1111111-1-11-1-1-1-1111111-1-11111111-1-1-1-1111111-1-11-1-1-1-1
χ6111111-1-11111111-1-1-1-1111-1-1-111-111-1-1111111-1-11111111-1-1-1-1111-1-1-111-111-1-1111111-1-11111111-1-1-1-1111-1-1-111-111-1-1
χ7111111-1-1111-1-111-1-1-1-1-1-1-1i−ii−i−i−iii11111111-1-1111-1-111-1-1-1-1-1-1-1i−ii−i−i−iii11111111-1-1111-1-111-1-1-1-1-1-1-1i−ii−i−i−iii11
χ8111111-1-1111-1-111-1-1-1-1-1-1-1−ii−iiii−i−i11111111-1-1111-1-111-1-1-1-1-1-1-1−ii−iiii−i−i11111111-1-1111-1-111-1-1-1-1-1-1-1−ii−iiii−i−i11
χ911-1-1111-111111-1-111-1-1-11-111-11-1-11-11-111-1-1111-111111-1-111-1-1-11-111-11-1-11-11-111-1-1111-111111-1-111-1-1-11-111-11-1-11-11-1
χ1011-1-1111-111111-1-111-1-1-11-1-1-11-111-111-111-1-1111-111111-1-111-1-1-11-1-1-11-111-111-111-1-1111-111111-1-111-1-1-11-1-1-11-111-111-1
χ1111-1-1111-1111-1-1-1-111-1-11-11i−i−ii−ii−ii-1111-1-1111-1111-1-1-1-111-1-11-11i−i−ii−ii−ii-1111-1-1111-1111-1-1-1-111-1-11-11i−i−ii−ii−ii-11
χ1211-1-1111-1111-1-1-1-111-1-11-11−iii−ii−ii−i-1111-1-1111-1111-1-1-1-111-1-11-11−iii−ii−ii−i-1111-1-1111-1111-1-1-1-111-1-11-11−iii−ii−ii−i-11
χ1311-1-111-1111111-1-1-1-111-11-111-1-11-1-11-1111-1-111-1111111-1-1-1-111-11-111-1-11-1-11-1111-1-111-1111111-1-1-1-111-11-111-1-11-1-11-11
χ1411-1-111-1111111-1-1-1-111-11-1-1-111-111-1-1111-1-111-1111111-1-1-1-111-11-1-1-111-111-1-1111-1-111-1111111-1-1-1-111-11-1-1-111-111-1-11
χ1511-1-111-11111-1-1-1-1-1-1111-11i−i−i−iiii−i1-111-1-111-11111-1-1-1-1-1-1111-11i−i−i−iiii−i1-111-1-111-11111-1-1-1-1-1-1111-11i−i−i−iiii−i1-1
χ1611-1-111-11111-1-1-1-1-1-1111-11−iiii−i−i−ii1-111-1-111-11111-1-1-1-1-1-1111-11−iiii−i−i−ii1-111-1-111-11111-1-1-1-1-1-1111-11−iiii−i−i−ii1-1
χ17222-2-22002-2-2222-200002-2-20000000000222-2-22002-2-2222-200002-2-20000000000222-2-22002-2-2222-200002-2-20000000000
χ18222-2-22002-2-2-2-22-20000-2220000000000222-2-22002-2-2-2-22-20000-2220000000000222-2-22002-2-2-2-22-20000-2220000000000
χ1922-22-22002-2-222-220000-2-22000000000022-22-22002-2-222-220000-2-22000000000022-22-22002-2-222-220000-2-220000000000
χ2022-22-22002-2-2-2-2-22000022-2000000000022-22-22002-2-2-2-2-22000022-2000000000022-22-22002-2-2-2-2-22000022-20000000000
χ2144444-144-1-1-100-1-1-1-1-1-1000000000000044444-144-1-1-100-1-1-1-1-1-1000000000000044444-144-1-1-100-1-1-1-1-1-10000000000000
χ2244444-1-4-4-1-1-100-1-11111000000000000044444-1-4-4-1-1-100-1-11111000000000000044444-1-4-4-1-1-100-1-111110000000000000
χ23444-4-4-100-11100-11i5−i5i5−i50000000000000444-4-4-100-11100-11i5−i5i5−i50000000000000444-4-4-100-11100-11i5−i5i5−i50000000000000
χ24444-4-4-100-11100-11−i5i5−i5i50000000000000444-4-4-100-11100-11−i5i5−i5i50000000000000444-4-4-100-11100-11−i5i5−i5i50000000000000
χ2544-44-4-100-111001-1i5−i5−i5i5000000000000044-44-4-100-111001-1i5−i5−i5i5000000000000044-44-4-100-111001-1i5−i5−i5i50000000000000
χ2644-44-4-100-111001-1−i5i5i5−i5000000000000044-44-4-100-111001-1−i5i5i5−i5000000000000044-44-4-100-111001-1−i5i5i5−i50000000000000
χ2744-4-44-14-4-1-1-10011-1-111000000000000044-4-44-14-4-1-1-10011-1-111000000000000044-4-44-14-4-1-1-10011-1-1110000000000000
χ2844-4-44-1-44-1-1-1001111-1-1000000000000044-4-44-1-44-1-1-1001111-1-1000000000000044-4-44-1-44-1-1-1001111-1-10000000000000
χ294-4000400-4004-400000000000000000004-4000400-4004-400000000000000000004-4000400-4004-40000000000000000000
χ304-4000400-400-4400000000000000000004-4000400-400-4400000000000000000004-4000400-400-440000000000000000000
χ318-8000-20022i5−2i50000000000000000000008-8000-20022i5−2i50000000000000000000008-8000-20022i5−2i5000000000000000000000
χ328-8000-2002−2i52i50000000000000000000008-8000-2002−2i52i50000000000000000000008-8000-2002−2i52i5000000000000000000000
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
χ341111111111111111111111-1-1-1-1-1-1-1-111−1+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+i32−1−i32−1−i32
χ3511111111111-1-1111111-1-1-1i−iiii−i−i−i-1-1−1+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−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1−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+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32
χ3611111111111-1-1111111-1-1-1−ii−i−i−iiii-1-1−1+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−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1−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+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32
χ37111111-1-11111111-1-1-1-1111111-1-11-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ38111111-1-11111111-1-1-1-1111-1-1-111-111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ39111111-1-1111-1-111-1-1-1-1-1-1-1i−ii−i−i−iii11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32
χ40111111-1-1111-1-111-1-1-1-1-1-1-1−ii−iiii−i−i11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32
χ4111-1-1111-111111-1-111-1-1-11-111-11-1-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4211-1-1111-111111-1-111-1-1-11-1-1-11-111-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ4311-1-1111-1111-1-1-1-111-1-11-11i−i−ii−ii−ii-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i32
χ4411-1-1111-1111-1-1-1-111-1-11-11−iii−ii−ii−i-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32
χ4511-1-111-1111111-1-1-1-111-11-111-1-11-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4611-1-111-1111111-1-1-1-111-11-1-1-111-111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4711-1-111-11111-1-1-1-1-1-1111-11i−i−i−iiii−i1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32
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χ7511-1-1111-1111-1-1-1-111-1-11-11i−i−ii−ii−ii-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i32
χ7611-1-1111-1111-1-1-1-111-1-11-11−iii−ii−ii−i-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32
χ7711-1-111-1111111-1-1-1-111-11-111-1-11-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ7811-1-111-1111111-1-1-1-111-11-1-1-111-111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ7911-1-111-11111-1-1-1-1-1-1111-11i−i−i−iiii−i1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32
χ8011-1-111-11111-1-1-1-1-1-1111-11−iiii−i−i−ii1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32
χ81222-2-22002-2-2222-200002-2-20000000000−1−i3−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i31+i31+i30000000000−1+i3−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i31−i31−i30000000000
χ82222-2-22002-2-2-2-22-20000-2220000000000−1−i3−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i31+i31+i3−1−i31+i300001+i3−1−i3−1−i30000000000−1+i3−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i31−i31−i3−1+i31−i300001−i3−1+i3−1+i30000000000
χ8322-22-22002-2-222-220000-2-220000000000−1−i3−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i31+i3−1−i30000000000−1+i3−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i31−i3−1+i30000000000
χ8422-22-22002-2-2-2-2-22000022-20000000000−1−i3−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i31+i31+i31+i3−1−i30000−1−i3−1−i31+i30000000000−1+i3−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i31−i31−i31−i3−1+i30000−1+i3−1+i31−i30000000000
χ8544444-144-1-1-100-1-1-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i3−2−2i31+i321+i321+i32001+i321+i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i3−2+2i31−i321−i321−i32001−i321−i321−i321−i321−i321−i320000000000000
χ8644444-1-4-4-1-1-100-1-111110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i322+2i32+2i31+i321+i321+i32001+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i322−2i32−2i31−i321−i321−i32001−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ87444-4-4-100-11100-11i5−i5i5−i50000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32001+i32−1−i32−1−i32001+i32−1−i32ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ430000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32001−i32−1+i32−1+i32001−i32−1+i32−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ590000000000000
χ88444-4-4-100-11100-11−i5i5−i5i50000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32001+i32−1−i32−1−i32001+i32−1−i32−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ430000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32001−i32−1+i32−1+i32001−i32−1+i32ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ590000000000000
χ8944-44-4-100-111001-1i5−i5−i5i50000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32001+i32−1−i32−1−i3200−1−i321+i32ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ430000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32001−i32−1+i32−1+i3200−1+i321−i32−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ590000000000000
χ9044-44-4-100-111001-1−i5i5i5−i50000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32001+i32−1−i32−1−i3200−1−i321+i32−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ430000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32001−i32−1+i32−1+i3200−1+i321−i32ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ590000000000000
χ9144-4-44-14-4-1-1-10011-1-1110000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32−2−2i32+2i31+i321+i321+i3200−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32−2+2i32−2i31−i321−i321−i3200−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000
χ9244-4-44-1-44-1-1-1001111-1-10000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i322+2i3−2−2i31+i321+i321+i3200−1−i32−1−i32−1−i32−1−i321+i321+i320000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i322−2i3−2+2i31−i321−i321−i3200−1+i32−1+i32−1+i32−1+i321−i321−i320000000000000
χ934-4000400-4004-40000000000000000000−2−2i32+2i3000−2−2i3002+2i300−2−2i32+2i30000000000000000000−2+2i32−2i3000−2+2i3002−2i300−2+2i32−2i30000000000000000000
χ944-4000400-400-440000000000000000000−2−2i32+2i3000−2−2i3002+2i3002+2i3−2−2i30000000000000000000−2+2i32−2i3000−2+2i3002−2i3002−2i3−2+2i30000000000000000000
χ958-8000-20022i5−2i5000000000000000000000−4−4i34+4i30001+i300−1−i32ζ7−2ζ19−2ζ31+2ζ43−2ζ7+2ζ19+2ζ31−2ζ43000000000000000000000−4+4i34−4i30001−i300−1+i3−2ζ11+2ζ23+2ζ47−2ζ592ζ11−2ζ23−2ζ47+2ζ59000000000000000000000
χ968-8000-2002−2i52i5000000000000000000000−4−4i34+4i30001+i300−1−i3−2ζ7+2ζ19+2ζ31−2ζ432ζ7−2ζ19−2ζ31+2ζ43000000000000000000000−4+4i34−4i30001−i300−1+i32ζ11−2ζ23−2ζ47+2ζ59−2ζ11+2ζ23+2ζ47−2ζ59000000000000000000000

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