Finite Group Databasebeta

← Group #11780713

Character table — Group #11780713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122224444444888888888888888161624242424242448111122224444444888888888888888161624242424242448111122224444444888888888888888161624242424242448
order12223666444121212124488881224242424242424241212444488436663666121212121212121212242424241224242424242424241212121212122424123666366612121212121212121224242424122424242424242424121212121212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1
χ411111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111111111-1-111-1-111111-1-1-1-1-1-111-1-111-1111111111111111-1-111-1-111111-1-1-1-1-1-111-1-111-1111111111111111-1-111-1-111111-1-1-1-1-1-111-1-111-1
χ6111111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-11
χ7111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11
χ8111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1
χ9222222222-2-222-2-2000000-20000000000002-2000222222222-2-222-2-2000000-20000000000002-2000222222222-2-222-2-2000000-20000000000002-2000
χ10222222222-2-222-2-2000000-2000000000000-22000222222222-2-222-2-2000000-2000000000000-22000222222222-2-222-2-2000000-2000000000000-22000
χ1122222222-22-2-2-222000000-200000000002-20000022222222-22-2-2-222000000-200000000002-20000022222222-22-2-2-222000000-200000000002-200000
χ1222222222-22-2-2-222000000-20000000000-220000022222222-22-2-2-222000000-20000000000-220000022222222-22-2-2-222000000-20000000000-2200000
χ1322222222-2-22-2-2-2-22-200002000000002-2000000022222222-2-22-2-2-2-22-200002000000002-2000000022222222-2-22-2-2-2-22-200002000000002-20000000
χ1422222222-2-22-2-2-2-2-220000200000000-22000000022222222-2-22-2-2-2-2-220000200000000-22000000022222222-2-22-2-2-2-2-220000200000000-220000000
χ152222-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-100000002222-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-100000002222-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-10000000
χ162222-1-1-1-1222-1-1-1-122-2-2-2-2-111111111-1-100000002222-1-1-1-1222-1-1-1-122-2-2-2-2-111111111-1-100000002222-1-1-1-1222-1-1-1-122-2-2-2-2-111111111-1-10000000
χ172222-1-1-1-1222-1-1-1-1-2-222-2-2-1-1-1-1-111111100000002222-1-1-1-1222-1-1-1-1-2-222-2-2-1-1-1-1-111111100000002222-1-1-1-1222-1-1-1-1-2-222-2-2-1-1-1-1-11111110000000
χ182222-1-1-1-1222-1-1-1-1-2-2-2-222-11111-1-1-1-11100000002222-1-1-1-1222-1-1-1-1-2-2-2-222-11111-1-1-1-11100000002222-1-1-1-1222-1-1-1-1-2-2-2-222-11111-1-1-1-1110000000
χ192222-1-1-1-1-2-2211112-20000-133−3−333−3−3-1100000002222-1-1-1-1-2-2211112-20000-133−3−333−3−3-1100000002222-1-1-1-1-2-2211112-20000-133−3−333−3−3-110000000
χ202222-1-1-1-1-2-2211112-20000-1−3−333−3−333-1100000002222-1-1-1-1-2-2211112-20000-1−3−333−3−333-1100000002222-1-1-1-1-2-2211112-20000-1−3−333−3−333-110000000
χ212222-1-1-1-1-2-221111-220000-133−3−3−3−3331-100000002222-1-1-1-1-2-221111-220000-133−3−3−3−3331-100000002222-1-1-1-1-2-221111-220000-133−3−3−3−3331-10000000
χ222222-1-1-1-1-2-221111-220000-1−3−33333−3−31-100000002222-1-1-1-1-2-221111-220000-1−3−33333−3−31-100000002222-1-1-1-1-2-221111-220000-1−3−33333−3−31-10000000
χ234444-2-2-2-24-4-4-2-2220000002000000000000000004444-2-2-2-24-4-4-2-2220000002000000000000000004444-2-2-2-24-4-4-2-222000000200000000000000000
χ244444-2-2-2-2-44-422-2-20000002000000000000000004444-2-2-2-2-44-422-2-20000002000000000000000004444-2-2-2-2-44-422-2-2000000200000000000000000
χ2544-4-44-44-40000000002-20002-22-2000000000000044-4-44-44-40000000002-20002-22-2000000000000044-4-44-44-40000000002-20002-22-20000000000000
χ2644-4-44-44-4000000000-22000-22-22000000000000044-4-44-44-4000000000-22000-22-22000000000000044-4-44-44-4000000000-22000-22-220000000000000
χ2744-4-4-22-220000023−23002-2000−1+31−3−1−31+3000000000000044-4-4-22-220000023−23002-2000−1+31−3−1−31+3000000000000044-4-4-22-220000023−23002-2000−1+31−3−1−31+30000000000000
χ2844-4-4-22-220000023−2300-220001−3−1+31+3−1−3000000000000044-4-4-22-220000023−2300-220001−3−1+31+3−1−3000000000000044-4-4-22-220000023−2300-220001−3−1+31+3−1−30000000000000
χ2944-4-4-22-2200000−2323002-2000−1−31+3−1+31−3000000000000044-4-4-22-2200000−2323002-2000−1−31+3−1+31−3000000000000044-4-4-22-2200000−2323002-2000−1−31+3−1+31−30000000000000
χ3044-4-4-22-2200000−232300-220001+3−1−31−3−1+3000000000000044-4-4-22-2200000−232300-220001+3−1−31−3−1+3000000000000044-4-4-22-2200000−232300-220001+3−1−31−3−1+30000000000000
χ314-44-444-4-400000000000000000000000000002-204-44-444-4-400000000000000000000000000002-204-44-444-4-400000000000000000000000000002-20
χ324-44-444-4-40000000000000000000000000000-2204-44-444-4-40000000000000000000000000000-2204-44-444-4-40000000000000000000000000000-220
χ334-4-444-4-44000000000002i−2i000002i−2i2i−2i0000000004-4-444-4-44000000000002i−2i000002i−2i2i−2i0000000004-4-444-4-44000000000002i−2i000002i−2i2i−2i000000000
χ344-4-444-4-4400000000000−2i2i00000−2i2i−2i2i0000000004-4-444-4-4400000000000−2i2i00000−2i2i−2i2i0000000004-4-444-4-4400000000000−2i2i00000−2i2i−2i2i000000000
χ354-4-44-222-200023−230000002i−2i00000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000004-4-44-222-200023−230000002i−2i00000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000004-4-44-222-200023−230000002i−2i00000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000
χ364-4-44-222-200023−23000000−2i2i00000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000004-4-44-222-200023−23000000−2i2i00000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000004-4-44-222-200023−23000000−2i2i00000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000
χ374-4-44-222-2000−23230000002i−2i00000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000004-4-44-222-2000−23230000002i−2i00000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000004-4-44-222-2000−23230000002i−2i00000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11000000000
χ384-4-44-222-2000−2323000000−2i2i00000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000004-4-44-222-2000−2323000000−2i2i00000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000004-4-44-222-2000−2323000000−2i2i00000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000
χ398-88-8-4-44400000000000000000000000000000008-88-8-4-44400000000000000000000000000000008-88-8-4-4440000000000000000000000000000000
χ40111111111111111111111111111111111111111−1+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−i32−1−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
χ4111111111111111111111111111111111-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1−1+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+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ4311111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111−1+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−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ44111111111111111-1-111-1-111111-1-1-1-1-1-111-1-111-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ45111111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-11−1+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ46111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11−1+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−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ47111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ48222222222-2-222-2-2000000-20000000000002-2000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i3000000000000−1+i31−i3000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i3000000000000−1−i31+i3000
χ49222222222-2-222-2-2000000-2000000000000-22000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i30000000000001−i3−1+i3000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i30000000000001+i3−1−i3000
χ5022222222-22-2-2-222000000-200000000002-200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i30000000000−1+i31−i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i30000000000−1−i31+i300000
χ5122222222-22-2-2-222000000-20000000000-2200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i300000000001−i3−1+i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i300000000001+i3−1−i300000
χ5222222222-2-22-2-2-2-22-200002000000002-20000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i31−i30000−1+i300000000−1+i31−i30000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i31+i30000−1−i300000000−1−i31+i30000000
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χ83111111111111111-1-111-1-111111-1-1-1-1-1-111-1-111-1−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ84111111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-11−1−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ85111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11−1−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+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ86111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ87222222222-2-222-2-2000000-20000000000002-2000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i3000000000000−1−i31+i3000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i3000000000000−1+i31−i3000
χ88222222222-2-222-2-2000000-2000000000000-22000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i30000000000001+i3−1−i3000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i30000000000001−i3−1+i3000
χ8922222222-22-2-2-222000000-200000000002-200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i30000000000−1−i31+i300000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i30000000000−1+i31−i300000
χ9022222222-22-2-2-222000000-20000000000-2200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i300000000001+i3−1−i300000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i300000000001−i3−1+i300000
χ9122222222-2-22-2-2-2-22-200002000000002-20000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i31+i30000−1−i300000000−1−i31+i30000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i31−i30000−1+i300000000−1+i31−i30000000
χ9222222222-2-22-2-2-2-2-220000200000000-220000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i3−1−i30000−1−i3000000001+i3−1−i30000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i3−1+i30000−1+i3000000001−i3−1+i30000000
χ932222-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-10000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000
χ942222-1-1-1-1222-1-1-1-122-2-2-2-2-111111111-1-10000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000
χ952222-1-1-1-1222-1-1-1-1-2-222-2-2-1-1-1-1-11111110000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000
χ962222-1-1-1-1222-1-1-1-1-2-2-2-222-11111-1-1-1-1110000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000000
χ972222-1-1-1-1-2-2211112-20000-133−3−333−3−3-110000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i31+i300001+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i31−i300001−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i32−1+i320000000
χ982222-1-1-1-1-2-2211112-20000-1−3−333−3−333-110000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i31+i300001+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i31−i300001−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i32−1+i320000000
χ992222-1-1-1-1-2-221111-220000-133−3−3−3−3331-10000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i300001+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i321+i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i300001−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i321−i320000000
χ1002222-1-1-1-1-2-221111-220000-1−3−33333−3−31-10000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i300001+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i321+i320000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i300001−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i321−i320000000
χ1014444-2-2-2-24-4-4-2-222000000200000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i3−2−2i32+2i32+2i31+i31+i3−1−i3−1−i3000000−1−i300000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i3−2+2i32−2i32−2i31−i31−i3−1+i3−1+i3000000−1+i300000000000000000
χ1024444-2-2-2-2-44-422-2-2000000200000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i32+2i3−2−2i32+2i3−1−i3−1−i31+i31+i3000000−1−i300000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i32−2i3−2+2i32−2i3−1+i3−1+i31−i31−i3000000−1+i300000000000000000
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χ1114-4-444-4-44000000000002i−2i000002i−2i2i−2i000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i3000000000002ζ11−2ζ11000002ζ11−2ζ112ζ11−2ζ11000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i3000000000002ζ7−2ζ7000002ζ7−2ζ72ζ7−2ζ7000000000
χ1124-4-444-4-4400000000000−2i2i00000−2i2i−2i2i000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i300000000000−2ζ112ζ1100000−2ζ112ζ11−2ζ112ζ11000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i300000000000−2ζ72ζ700000−2ζ72ζ7−2ζ72ζ7000000000
χ1134-4-44-222-200023−230000002i−2i00000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i30004ζ7+2ζ11−4ζ7−2ζ110000002ζ11−2ζ1100000−ζ2−2ζ10−ζ11ζ2+2ζ10+ζ11ζ2+2ζ10−ζ11−ζ2−2ζ10+ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i3000−2ζ7−4ζ112ζ7+4ζ110000002ζ7−2ζ7000002ζ2−ζ7+ζ10−2ζ2+ζ7−ζ10−2ζ2−ζ7−ζ102ζ2+ζ7+ζ10000000000
χ1144-4-44-222-200023−23000000−2i2i00000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i30004ζ7+2ζ11−4ζ7−2ζ11000000−2ζ112ζ1100000ζ2+2ζ10+ζ11−ζ2−2ζ10−ζ11−ζ2−2ζ10+ζ11ζ2+2ζ10−ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i3000−2ζ7−4ζ112ζ7+4ζ11000000−2ζ72ζ700000−2ζ2+ζ7−ζ102ζ2−ζ7+ζ102ζ2+ζ7+ζ10−2ζ2−ζ7−ζ10000000000
χ1154-4-44-222-2000−23230000002i−2i00000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i3000−4ζ7−2ζ114ζ7+2ζ110000002ζ11−2ζ1100000ζ2+2ζ10−ζ11−ζ2−2ζ10+ζ11−ζ2−2ζ10−ζ11ζ2+2ζ10+ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i30002ζ7+4ζ11−2ζ7−4ζ110000002ζ7−2ζ700000−2ζ2−ζ7−ζ102ζ2+ζ7+ζ102ζ2−ζ7+ζ10−2ζ2+ζ7−ζ10000000000
χ1164-4-44-222-2000−2323000000−2i2i00000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i3000−4ζ7−2ζ114ζ7+2ζ11000000−2ζ112ζ1100000−ζ2−2ζ10+ζ11ζ2+2ζ10−ζ11ζ2+2ζ10+ζ11−ζ2−2ζ10−ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i30002ζ7+4ζ11−2ζ7−4ζ11000000−2ζ72ζ7000002ζ2+ζ7+ζ10−2ζ2−ζ7−ζ10−2ζ2+ζ7−ζ102ζ2−ζ7+ζ10000000000
χ1178-88-8-4-4440000000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i32+2i3−2−2i3−2−2i30000000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i32−2i3−2+2i3−2+2i30000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.