Finite Group Databasebeta

← Group #13158541

Character table — Group #13158541

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222224444444444488888888881212121212122424242424242424243636363611222222222444444444448888888888121212121212242424242424242424363636361122222222244444444444888888888812121212121224242424242424242436363636
order122334466662236666121212126666666612124412121212488121224242424224436633121266666636666121212126666666612121212121212121224241212242424246612123663312126666663666612121212666666661212121212121212122424121224242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1111111111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11-11-111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11-11-111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11-11-1
χ611111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-11-1111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-11-1111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-11-11
χ711111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-11-1111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-11-1111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-11-11
χ811111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-1111-11-111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-1111-11-111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-1111-11-1
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χ1022222-2-22222-2222222-2-2-2-2-2-222-2-222-2-2000000000000000000022222-2-22222-2222222-2-2-2-2-2-222-2-222-2-2000000000000000000022222-2-22222-2222222-2-2-2-2-2-222-2-222-2-20000000000000000000
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χ132222-1222-1-1-1-2-2-12-1-1-1-1-122-21-211111-1-122-1-1-1-1-20011000000002222-1222-1-1-1-2-2-12-1-1-1-1-122-21-211111-1-122-1-1-1-1-20011000000002222-1222-1-1-1-2-2-12-1-1-1-1-122-21-211111-1-122-1-1-1-1-2001100000000
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χ162222-1-2-22-1-1-12-2-12-1-1-111-2-22-1-21-1-1111100i3i3−i3−i3000i3−i3000000002222-1-2-22-1-1-12-2-12-1-1-111-2-22-1-21-1-1111100i3i3−i3−i3000i3−i3000000002222-1-2-22-1-1-12-2-12-1-1-111-2-22-1-21-1-1111100i3i3−i3−i3000i3−i300000000
χ172222-1-2-22-1-1-1-22-12-1-1-111-2-2-212-111-1-11100−i3−i3i3i3000i3−i3000000002222-1-2-22-1-1-1-22-12-1-1-111-2-2-212-111-1-11100−i3−i3i3i3000i3−i3000000002222-1-2-22-1-1-1-22-12-1-1-111-2-2-212-111-1-11100−i3−i3i3i3000i3−i300000000
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χ19222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-100000002200-1-1-1-10000222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-100000002200-1-1-1-10000222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-100000002200-1-1-1-10000
χ20222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-10000000-2-20011110000222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-10000000-2-20011110000222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-10000000-2-20011110000
χ21222-1222-1222-2-2-1-1-1-1-122-1-11-21-21111-1-100000002-200-1-1110000222-1222-1222-2-2-1-1-1-1-122-1-11-21-21111-1-100000002-200-1-1110000222-1222-1222-2-2-1-1-1-1-122-1-11-21-21111-1-100000002-200-1-1110000
χ22222-1222-1222-2-2-1-1-1-1-122-1-11-21-21111-1-10000000-220011-1-10000222-1222-1222-2-2-1-1-1-1-122-1-11-21-21111-1-10000000-220011-1-10000222-1222-1222-2-2-1-1-1-1-122-1-11-21-21111-1-10000000-220011-1-10000
χ23222-12-2-2-12222-2-1-1-1-1-1-2-211-121-2-1-11111000000000003−33−30000222-12-2-2-12222-2-1-1-1-1-1-2-211-121-2-1-11111000000000003−33−30000222-12-2-2-12222-2-1-1-1-1-1-2-211-121-2-1-11111000000000003−33−30000
χ24222-12-2-2-12222-2-1-1-1-1-1-2-211-121-2-1-1111100000000000−33−330000222-12-2-2-12222-2-1-1-1-1-1-2-211-121-2-1-1111100000000000−33−330000222-12-2-2-12222-2-1-1-1-1-1-2-211-121-2-1-1111100000000000−33−330000
χ25222-12-2-2-1222-22-1-1-1-1-1-2-2111-2-1211-1-111000000000003−3−330000222-12-2-2-1222-22-1-1-1-1-1-2-2111-2-1211-1-111000000000003−3−330000222-12-2-2-1222-22-1-1-1-1-1-2-2111-2-1211-1-111000000000003−3−330000
χ26222-12-2-2-1222-22-1-1-1-1-1-2-2111-2-1211-1-11100000000000−333−30000222-12-2-2-1222-22-1-1-1-1-1-2-2111-2-1211-1-11100000000000−333−30000222-12-2-2-1222-22-1-1-1-1-1-2-2111-2-1211-1-11100000000000−333−30000
χ2722-2222-22-2-22002-2-2-222-22-2000000002-2000000000000000020-222-2222-22-2-22002-2-2-222-22-2000000002-2000000000000000020-222-2222-22-2-22002-2-2-222-22-2000000002-2000000000000000020-2
χ2822-2222-22-2-22002-2-2-222-22-2000000002-20000000000000000-20222-2222-22-2-22002-2-2-222-22-2000000002-20000000000000000-20222-2222-22-2-22002-2-2-222-22-2000000002-20000000000000000-202
χ2922-222-222-2-22002-2-2-22-22-2200000000-2200000000000000020-2022-222-222-2-22002-2-2-22-22-2200000000-2200000000000000020-2022-222-222-2-22002-2-2-22-22-2200000000-2200000000000000020-20
χ3022-222-222-2-22002-2-2-22-22-2200000000-22000000000000000-202022-222-222-2-22002-2-2-22-22-2200000000-22000000000000000-202022-222-222-2-22002-2-2-22-22-2200000000-22000000000000000-2020
χ31444-2-244-2-2-2-2441-2111-2-2-2-2-2-2-2-21111110000000000000000000444-2-244-2-2-2-2441-2111-2-2-2-2-2-2-2-21111110000000000000000000444-2-244-2-2-2-2441-2111-2-2-2-2-2-2-2-21111110000000000000000000
χ32444-2-244-2-2-2-2-4-41-2111-2-2-2-22222-1-1-1-1110000000000000000000444-2-244-2-2-2-2-4-41-2111-2-2-2-22222-1-1-1-1110000000000000000000444-2-244-2-2-2-2-4-41-2111-2-2-2-22222-1-1-1-1110000000000000000000
χ33444-2-2-4-4-2-2-2-24-41-21112222-2-22211-1-1-1-10000000000000000000444-2-2-4-4-2-2-2-24-41-21112222-2-22211-1-1-1-10000000000000000000444-2-2-4-4-2-2-2-24-41-21112222-2-22211-1-1-1-10000000000000000000
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χ52111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
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χ5411111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1−1+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+i321−i321−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−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ5511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32
χ5611111111111-1-1111111111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11-11-1−1+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+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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−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−i321+i321+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−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ5711111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-11-11−1+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+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+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i321+i321+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−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ5811111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-11-11−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−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−i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ5911111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-1111-11-1−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ6022222-2-222222-222222-2-2-2-222-2-222-2-2-2-20000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i30000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i30000000000000000000
χ6122222-2-22222-2222222-2-2-2-2-2-222-2-222-2-20000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−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−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+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+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000000000000000000
χ622222-1222-1-1-122-12-1-1-1-1-1222-12-1-1-1-1-1-1-122-1-1-1-1200-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3001−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3001+i321+i3200000000
χ632222-1222-1-1-122-12-1-1-1-1-1222-12-1-1-1-1-1-1-1-2-21111-2001100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i300−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i300−1−i32−1−i3200000000
χ642222-1222-1-1-1-2-2-12-1-1-1-1-122-21-211111-1-122-1-1-1-1-2001100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i300−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i300−1−i32−1−i3200000000
χ652222-1222-1-1-1-2-2-12-1-1-1-1-122-21-211111-1-1-2-21111200-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3001−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3001+i321+i3200000000
χ662222-1-2-22-1-1-12-2-12-1-1-111-2-22-1-21-1-1111100−i3−i3i3i3000−i3i300000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i31−i31−i32−1+i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i31−i321−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32003+i323+i32−3−i32−3−i320003+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i31+i31+i32−1−i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i31+i321+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−3+i32−3+i323−i323−i32000−3+i323−i3200000000
χ672222-1-2-22-1-1-12-2-12-1-1-111-2-22-1-21-1-1111100i3i3−i3−i3000i3−i300000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i31−i31−i32−1+i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i31−i321−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−3−i32−3−i323+i323+i32000−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i31+i31+i32−1−i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i31+i321+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32003−i323−i32−3+i32−3+i320003−i32−3+i3200000000
χ682222-1-2-22-1-1-1-22-12-1-1-111-2-2-212-111-1-11100−i3−i3i3i3000i3−i300000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i321−i3−1+i31−i32−1+i31−i321−i321−i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i32003+i323+i32−3−i32−3−i32000−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i321+i3−1−i31+i32−1−i31+i321+i321+i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200−3+i32−3+i323−i323−i320003−i32−3+i3200000000
χ692222-1-2-22-1-1-1-22-12-1-1-111-2-2-212-111-1-11100i3i3−i3−i3000−i3i300000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i321−i3−1+i31−i32−1+i31−i321−i321−i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200−3−i32−3−i323+i323+i320003+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i321+i3−1−i31+i32−1−i31+i321+i321+i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i32003−i323−i32−3+i32−3+i32000−3+i323−i3200000000
χ70222-1222-122222-1-1-1-1-122-1-1-12-12-1-1-1-1-1-100000002200-1-1-1-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i320000000−1+i3−1+i3001−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i320000000−1−i3−1−i3001+i321+i321+i321+i320000
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χ10711111111111-1-1111111111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11-11-1−1−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−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−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+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+i321−i321−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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
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χ11011111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-1111-11-1−1−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+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+i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ11122222-2-222222-222222-2-2-2-222-2-222-2-2-2-20000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i30000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i30000000000000000000
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χ1132222-1222-1-1-122-12-1-1-1-1-1222-12-1-1-1-1-1-1-122-1-1-1-1200-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3001+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3001−i321−i3200000000
χ1142222-1222-1-1-122-12-1-1-1-1-1222-12-1-1-1-1-1-1-1-2-21111-2001100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i300−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i300−1+i32−1+i3200000000
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χ1454-404400-400-4004000-4000000000000002i−2i2i−2i2i−2i0000000000000−2−2i32+2i30−2−2i3−2−2i3002+2i3002+2i300−2−2i30002+2i3000000000000002ζ11−2ζ112ζ11−2ζ112ζ11−2ζ110000000000000−2+2i32−2i30−2+2i3−2+2i3002−2i3002−2i300−2+2i30002−2i3000000000000002ζ7−2ζ72ζ7−2ζ72ζ7−2ζ70000000000000
χ1464-404400-400-4004000-400000000000000−2i2i−2i2i−2i2i0000000000000−2−2i32+2i30−2−2i3−2−2i3002+2i3002+2i300−2−2i30002+2i300000000000000−2ζ112ζ11−2ζ112ζ11−2ζ112ζ110000000000000−2+2i32−2i30−2+2i3−2+2i3002−2i3002−2i300−2+2i30002−2i300000000000000−2ζ72ζ7−2ζ72ζ7−2ζ72ζ70000000000000
χ1474-404-200-4−2i32i3200-20−2i32i32000000000000002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000−2−2i32+2i30−2−2i31+i3002+2i3−3+i33−i3−1−i3001+i30−3+i33−i3−1−i3000000000000002ζ11−2ζ112i−2i2ζ7−2ζ70000000000000−2+2i32−2i30−2+2i31−i3002−2i33+i3−3−i3−1+i3001−i303+i3−3−i3−1+i3000000000000002ζ7−2ζ72ζ11−2ζ112i−2i0000000000000
χ1484-404-200-4−2i32i3200-20−2i32i3200000000000000−2i2i−2ζ72ζ7−2ζ112ζ110000000000000−2−2i32+2i30−2−2i31+i3002+2i3−3+i33−i3−1−i3001+i30−3+i33−i3−1−i300000000000000−2ζ112ζ11−2i2i−2ζ72ζ70000000000000−2+2i32−2i30−2+2i31−i3002−2i33+i3−3−i3−1+i3001−i303+i3−3−i3−1+i300000000000000−2ζ72ζ7−2ζ112ζ11−2i2i0000000000000
χ1494-404-200-42i3−2i3200-202i3−2i32000000000000002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000−2−2i32+2i30−2−2i31+i3002+2i33−i3−3+i3−1−i3001+i303−i3−3+i3−1−i3000000000000002ζ11−2ζ112ζ7−2ζ72i−2i0000000000000−2+2i32−2i30−2+2i31−i3002−2i3−3−i33+i3−1+i3001−i30−3−i33+i3−1+i3000000000000002ζ7−2ζ72i−2i2ζ11−2ζ110000000000000
χ1504-404-200-42i3−2i3200-202i3−2i3200000000000000−2i2i−2ζ112ζ11−2ζ72ζ70000000000000−2−2i32+2i30−2−2i31+i3002+2i33−i3−3+i3−1−i3001+i303−i3−3+i3−1−i300000000000000−2ζ112ζ11−2ζ72ζ7−2i2i0000000000000−2+2i32−2i30−2+2i31−i3002−2i3−3−i33+i3−1+i3001−i30−3−i33+i3−1+i300000000000000−2ζ72ζ7−2i2i−2ζ112ζ110000000000000
χ1518-80-4800400-800-40004000000000000000000000000000000000−4−4i34+4i302+2i3−4−4i300−2−2i3004+4i3002+2i3000−2−2i3000000000000000000000000000000000−4+4i34−4i302−2i3−4+4i300−2+2i3004−4i3002−2i3000−2+2i3000000000000000000000000000000000
χ1528-80-4-4004−4i34i3400202i3−2i3-2000000000000000000000000000000000−4−4i34+4i302+2i32+2i300−2−2i3−6+2i36−2i3−2−2i300−1−i303−i3−3+i31+i3000000000000000000000000000000000−4+4i34−4i302−2i32−2i300−2+2i36+2i3−6−2i3−2+2i300−1+i30−3−i33+i31−i3000000000000000000000000000000000
χ1538-80-4-40044i3−4i340020−2i32i3-2000000000000000000000000000000000−4−4i34+4i302+2i32+2i300−2−2i36−2i3−6+2i3−2−2i300−1−i30−3+i33−i31+i3000000000000000000000000000000000−4+4i34−4i302−2i32−2i300−2+2i3−6−2i36+2i3−2+2i300−1+i303+i3−3−i31−i3000000000000000000000000000000000

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