Finite Group Databasebeta

← Group #13166763

Character table — Group #13166763

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order122233466666612121212222222444444661212121212124444436663312666666121212126666661212121212126612121212121212121212123666331266666612121212666666121212121212661212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-22202-22-2-2-2000022-2-22-20000002-20000000000022-2-22202-22-2-2-2000022-2-22-20000002-20000000000022-2-22202-22-2-2-2000022-2-22-20000002-200000000000
χ1222-2-22202-22-2-2-2000022-2-2-22000000-220000000000022-2-22202-22-2-2-2000022-2-2-22000000-220000000000022-2-22202-22-2-2-2000022-2-2-22000000-2200000000000
χ1322-2-22202-22-2-2-20000-2-222002i−2i0000002i−2i00000000022-2-22202-22-2-2-20000-2-222002i−2i0000002i−2i00000000022-2-22202-22-2-2-20000-2-222002i−2i0000002i−2i000000000
χ1422-2-22202-22-2-2-20000-2-22200−2i2i000000−2i2i00000000022-2-22202-22-2-2-20000-2-22200−2i2i000000−2i2i00000000022-2-22202-22-2-2-20000-2-22200−2i2i000000−2i2i000000000
χ152-22-2220-22-2-22-200002-22-200000000000000000002i−2i2-22-2220-22-2-22-200002-22-200000000000000000002i−2i2-22-2220-22-2-22-200002-22-200000000000000000002i−2i
χ162-22-2220-22-2-22-200002-22-20000000000000000000−2i2i2-22-2220-22-2-22-200002-22-20000000000000000000−2i2i2-22-2220-22-2-22-200002-22-20000000000000000000−2i2i
χ172-22-2220-22-2-22-20000-22-22000000000000000002i−2i002-22-2220-22-2-22-20000-22-22000000000000000002i−2i002-22-2220-22-2-22-20000-22-22000000000000000002i−2i00
χ182-22-2220-22-2-22-20000-22-2200000000000000000−2i2i002-22-2220-22-2-22-20000-22-2200000000000000000−2i2i002-22-2220-22-2-22-20000-22-2200000000000000000−2i2i00
χ192-2-22220-2-2-22-2200002-2-220000002-20000002-2000002-2-22220-2-2-22-2200002-2-220000002-20000002-2000002-2-22220-2-2-22-2200002-2-220000002-20000002-200000
χ202-2-22220-2-2-22-2200002-2-22000000-22000000-22000002-2-22220-2-2-22-2200002-2-22000000-22000000-22000002-2-22220-2-2-22-2200002-2-22000000-22000000-2200000
χ212-2-22220-2-2-22-220000-222-200002-20000002-200000002-2-22220-2-2-22-220000-222-200002-20000002-200000002-2-22220-2-2-22-220000-222-200002-20000002-20000000
χ222-2-22220-2-2-22-220000-222-20000-22000000-2200000002-2-22220-2-2-22-220000-222-20000-22000000-2200000002-2-22220-2-2-22-220000-222-20000-22000000-220000000
χ2344441-2411-2-2-21-2-2110000000022220000-1-1-1-10000044441-2411-2-2-21-2-2110000000022220000-1-1-1-10000044441-2411-2-2-21-2-2110000000022220000-1-1-1-100000
χ2444441-2411-2-2-21-2-21100000000-2-2-2-2000011110000044441-2411-2-2-21-2-21100000000-2-2-2-2000011110000044441-2411-2-2-21-2-21100000000-2-2-2-20000111100000
χ2544441-2-411-2-2-2122-1-10000000022-2-20000-1-1110000044441-2-411-2-2-2122-1-10000000022-2-20000-1-1110000044441-2-411-2-2-2122-1-10000000022-2-20000-1-11100000
χ2644441-2-411-2-2-2122-1-100000000-2-222000011-1-10000044441-2-411-2-2-2122-1-100000000-2-222000011-1-10000044441-2-411-2-2-2122-1-100000000-2-222000011-1-100000
χ274444-214-2-2111-211-2-2000022220000-1-1-1-10000000004444-214-2-2111-211-2-2000022220000-1-1-1-10000000004444-214-2-2111-211-2-2000022220000-1-1-1-1000000000
χ284444-214-2-2111-211-2-20000-2-2-2-2000011110000000004444-214-2-2111-211-2-20000-2-2-2-2000011110000000004444-214-2-2111-211-2-20000-2-2-2-200001111000000000
χ294444-21-4-2-2111-2-1-122000022-2-20000-1-1110000000004444-21-4-2-2111-2-1-122000022-2-20000-1-1110000000004444-21-4-2-2111-2-1-122000022-2-20000-1-111000000000
χ304444-21-4-2-2111-2-1-1220000-2-222000011-1-10000000004444-21-4-2-2111-2-1-1220000-2-222000011-1-10000000004444-21-4-2-2111-2-1-1220000-2-222000011-1-1000000000
χ3144-4-4-210-221-1-123i−3i0000002-22i−2i0000-11−ii00000000044-4-4-210-221-1-123i−3i0000002-22i−2i0000-11−ii00000000044-4-4-210-221-1-123i−3i0000002-22i−2i0000-11−ii000000000
χ3244-4-4-210-221-1-123i−3i000000-22−2i2i00001-1i−i00000000044-4-4-210-221-1-123i−3i000000-22−2i2i00001-1i−i00000000044-4-4-210-221-1-123i−3i000000-22−2i2i00001-1i−i000000000
χ3344-4-4-210-221-1-12−3i3i0000002-2−2i2i0000-11i−i00000000044-4-4-210-221-1-12−3i3i0000002-2−2i2i0000-11i−i00000000044-4-4-210-221-1-12−3i3i0000002-2−2i2i0000-11i−i000000000
χ3444-4-4-210-221-1-12−3i3i000000-222i−2i00001-1−ii00000000044-4-4-210-221-1-12−3i3i000000-222i−2i00001-1−ii00000000044-4-4-210-221-1-12−3i3i000000-222i−2i00001-1−ii000000000
χ354-4-441-20-1-12-221003-3000000002-22-20000-11-11000004-4-441-20-1-12-221003-3000000002-22-20000-11-11000004-4-441-20-1-12-221003-3000000002-22-20000-11-1100000
χ364-4-441-20-1-12-221003-300000000-22-2200001-11-1000004-4-441-20-1-12-221003-300000000-22-2200001-11-1000004-4-441-20-1-12-221003-300000000-22-2200001-11-100000
χ374-4-441-20-1-12-22100-33000000002-2-220000-111-1000004-4-441-20-1-12-22100-33000000002-2-220000-111-1000004-4-441-20-1-12-22100-33000000002-2-220000-111-100000
χ384-4-441-20-1-12-22100-3300000000-222-200001-1-11000004-4-441-20-1-12-22100-3300000000-222-200001-1-11000004-4-441-20-1-12-22100-3300000000-222-200001-1-1100000
χ3988-8-82-402-2-444-20000000000000000000000000000088-8-82-402-2-444-20000000000000000000000000000088-8-82-402-2-444-200000000000000000000000000000
χ408-88-82-40-2244-4-2000000000000000000000000000008-88-82-40-2244-4-2000000000000000000000000000008-88-82-40-2244-4-200000000000000000000000000000
χ418-88-8-4204-4-2-224000000000000000000000000000008-88-8-4204-4-2-224000000000000000000000000000008-88-8-4204-4-2-22400000000000000000000000000000
χ428-8-88-42044-22-2-4000000000000000000000000000008-8-88-42044-22-2-4000000000000000000000000000008-8-88-42044-22-2-400000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ441111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ45111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1−1+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+i321−i321−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−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−i321+i321+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+i321+i321+i32
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ47111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ48111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111−1+i32−1+i32−1+i32−1+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+i32−1+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+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i32−1−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−i321+i321+i321+i32−1−i32−1−i32
χ49111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111−1+i32−1+i32−1+i32−1+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+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+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−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−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ50111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i32−1−i32−1−i32−1−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ5122222222222222222-2-2-2-20000000000000000-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000001−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000001+i30000
χ52222222-2222222-2-2-2-2-2-2-2-2000000000000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000−1−i30000
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χ5422-2-22202-22-2-2-2000022-2-2-22000000-2200000000000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i31−i3−1+i31−i31−i31−i30000−1+i3−1+i31−i31−i31−i3−1+i30000001−i3−1+i300000000000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i31+i3−1−i31+i31+i31+i30000−1−i3−1−i31+i31+i31+i3−1−i30000001+i3−1−i300000000000
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χ88111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ89111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ90111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111−1−i32−1−i32−1−i32−1−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−i32−1−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−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i32−1+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+i321−i321−i321−i32−1+i32−1+i32
χ91111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111−1−i32−1−i32−1−i32−1−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−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−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+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+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ92111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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−i32−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ9322222222222222222-2-2-2-20000000000000000-20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000001+i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000001−i30000
χ94222222-2222222-2-2-2-2-2-2-2-2000000000000000020000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000−1−i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000−1+i30000
χ9522-2-22202-22-2-2-2000022-2-22-20000002-200000000000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i31+i3−1−i31+i31+i31+i30000−1−i3−1−i31+i31+i3−1−i31+i3000000−1−i31+i300000000000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i31−i3−1+i31−i31−i31−i30000−1+i3−1+i31−i31−i3−1+i31−i3000000−1+i31−i300000000000
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χ1002-22-2220-22-2-22-200002-22-20000000000000000000−2i2i−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i3−1−i31+i30000−1−i31+i3−1−i31+i30000000000000000000−2ζ112ζ11−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i3−1+i31−i30000−1+i31−i3−1+i31−i30000000000000000000−2ζ72ζ7
χ1012-22-2220-22-2-22-20000-22-22000000000000000002i−2i00−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i3−1−i31+i300001+i3−1−i31+i3−1−i3000000000000000002ζ11−2ζ1100−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i3−1+i31−i300001−i3−1+i31−i3−1+i3000000000000000002ζ7−2ζ700
χ1022-22-2220-22-2-22-20000-22-2200000000000000000−2i2i00−1−i31+i3−1−i31+i3−1−i3−1−i301+i3−1−i31+i31+i3−1−i31+i300001+i3−1−i31+i3−1−i300000000000000000−2ζ112ζ1100−1+i31−i3−1+i31−i3−1+i3−1+i301−i3−1+i31−i31−i3−1+i31−i300001−i3−1+i31−i3−1+i300000000000000000−2ζ72ζ700
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χ1134444-21-4-2-2111-2-1-122000022-2-20000-1-111000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i31+i3−1−i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i30000−1−i3−1−i31+i31+i300001+i321+i32−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i31−i3−1+i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i30000−1+i3−1+i31−i31−i300001−i321−i32−1+i32−1+i32000000000
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χ11544-4-4-210-221-1-123i−3i0000002-22i−2i0000-11−ii000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i3−1−i321+i321+i32−1−i33ζ11−3ζ11000000−1−i31+i32ζ11−2ζ1100001+i32−1−i32−ζ11ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i3−1+i321−i321−i32−1+i33ζ7−3ζ7000000−1+i31−i32ζ7−2ζ700001−i32−1+i32−ζ7ζ7000000000
χ11644-4-4-210-221-1-123i−3i000000-22−2i2i00001-1i−i000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i3−1−i321+i321+i32−1−i33ζ11−3ζ110000001+i3−1−i3−2ζ112ζ110000−1−i321+i32ζ11−ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i3−1+i321−i321−i32−1+i33ζ7−3ζ70000001−i3−1+i3−2ζ72ζ70000−1+i321−i32ζ7−ζ7000000000
χ11744-4-4-210-221-1-12−3i3i0000002-2−2i2i0000-11i−i000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i3−1−i321+i321+i32−1−i3−3ζ113ζ11000000−1−i31+i3−2ζ112ζ1100001+i32−1−i32ζ11−ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i3−1+i321−i321−i32−1+i3−3ζ73ζ7000000−1+i31−i3−2ζ72ζ700001−i32−1+i32ζ7−ζ7000000000
χ11844-4-4-210-221-1-12−3i3i000000-222i−2i00001-1−ii000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i3−1−i321+i321+i32−1−i3−3ζ113ζ110000001+i3−1−i32ζ11−2ζ110000−1−i321+i32−ζ11ζ11000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i3−1+i321−i321−i32−1+i3−3ζ73ζ70000001−i3−1+i32ζ7−2ζ70000−1+i321−i32−ζ7ζ7000000000
χ1194-4-441-20-1-12-221003-3000000002-22-20000-11-1100000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i3200−3−3i323+3i3200000000−1−i31+i3−1−i31+i300001+i32−1−i321+i32−1−i3200000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i3200−3+3i323−3i3200000000−1+i31−i3−1+i31−i300001−i32−1+i321−i32−1+i3200000
χ1204-4-441-20-1-12-221003-300000000-22-2200001-11-100000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i3200−3−3i323+3i32000000001+i3−1−i31+i3−1−i30000−1−i321+i32−1−i321+i3200000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i3200−3+3i323−3i32000000001−i3−1+i31−i3−1+i30000−1+i321−i32−1+i321−i3200000
χ1214-4-441-20-1-12-22100-33000000002-2-220000-111-100000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i32003+3i32−3−3i3200000000−1−i31+i31+i3−1−i300001+i32−1−i32−1−i321+i3200000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i32003−3i32−3+3i3200000000−1+i31−i31−i3−1+i300001−i32−1+i32−1+i321−i3200000
χ1224-4-441-20-1-12-22100-3300000000-222-200001-1-1100000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i321+i32−1−i31+i3−1−i3−1−i32003+3i32−3−3i32000000001+i3−1−i3−1−i31+i30000−1−i321+i321+i32−1−i3200000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i321−i32−1+i31−i3−1+i3−1+i32003−3i32−3+3i32000000001−i3−1+i3−1+i31−i30000−1+i321−i321−i32−1+i3200000
χ12388-8-82-402-2-444-200000000000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i30−1−i31+i32+2i3−2−2i3−2−2i31+i300000000000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i30−1+i31−i32−2i3−2+2i3−2+2i31−i300000000000000000000000000000
χ1248-88-82-40-2244-4-200000000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i3−1−i3−2−2i3−2−2i32+2i31+i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i3−1+i3−2+2i3−2+2i32−2i31−i300000000000000000000000000000
χ1258-88-8-4204-4-2-22400000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i32+2i31+i31+i3−1−i3−2−2i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i32−2i31−i31−i3−1+i3−2+2i300000000000000000000000000000
χ1268-8-88-42044-22-2-400000000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i30−2−2i3−2−2i31+i3−1−i31+i32+2i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i30−2+2i3−2+2i31−i3−1+i31−i32−2i300000000000000000000000000000

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