Finite Group Databasebeta

← Group #13161538

Character table — Group #13161538

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444444444448888888888888888888888888888888888888363636363636363636363636727272727272727272727272
order122223336666633333666666666666666666666664666666666612121212121212121212121212121212121212121212121212122222244466664466612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-1-11-1-1-1-1-11-11-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-11-11-1-1-11-1-111
χ511111111111111111111111111111111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-11111-111-1-1-11-1-1-111
χ611111111111111111111111111111111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-1-11-1-1-1111-1-1
χ711111111111111111111111111111111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111111111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-111-1-11111
χ92222222-1-1-122-12-1-1-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200200-1-1-1-10000-1-1000000
χ102222222-1-1-122-12-1-1-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-2001111000011000000
χ112222222-1-1-122-12-1-1-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-222-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-2111111111111111122-200-200-1-1-1-1000011000000
χ122222222-1-1-122-12-1-1-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-222-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-21111111111111111-2-220020011110000-1-1000000
χ13222222-12222-12-12-1-1-12-122-12-1-1-12-1-1-122-1-1-1-1-1-12-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000020020000020-1000-100-1-1
χ14222222-12222-12-12-1-1-12-122-12-1-1-12-1-1-122-1-1-1-1-1-12-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-200-200000-20100010011
χ15222222-12222-12-12-1-1-12-122-12-1-1-12-1-1-122-1-1-1-1-1-12-1-2-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2-2-21111111111110000200200000-20-1000-10011
χ16222222-12222-12-12-1-1-12-122-12-1-1-12-1-1-122-1-1-1-1-1-12-1-2-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2-2-21111111111110000-200-200000201000100-1-1
χ1722222-12222-122-1-12-1-1-1222-1-12-1-1-12-1-1-1-122-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100020020000020-1000-10-1-100
χ1822222-12222-122-1-12-1-1-1222-1-12-1-1-12-1-1-1-122-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000-200-200000-201000101100
χ1922222-12222-122-1-12-1-1-1222-1-12-1-1-12-1-1-1-122-1-1-1-1-12-2-1-1-1-122-1-1-1-1-2-211-2-211111111-2-2-2-211111111000200200000-20-1000-101100
χ2022222-12222-122-1-12-1-1-1222-1-12-1-1-12-1-1-1-122-1-1-1-1-12-2-1-1-1-122-1-1-1-1-2-211-2-211111111-2-2-2-211111111000-200-20000020100010-1-100
χ21222-2-22222222222222-2-2-2-222222222222222222-2-20-2-2-2-2-2-2-2-2-2-20000000000000000000000000000200-200000000002-2000000
χ22222-2-22222222222222-2-2-2-222222222222222222-2-20-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-20020000000000-22000000
χ23222-2-222-1-1-122-12-1-1-1-1-2-2112-1-1-1-12222-1-1-1-1-1-1-1-1-2-20-2-211111111−i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300200-200−i3−i3i3i30000-11000000
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χ25222-2-222-1-1-122-12-1-1-1-1-2-2112-1-1-1-12222-1-1-1-1-1-1-1-1-2-20-2-211111111i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300200-200i3i3−i3−i30000-11000000
χ26222-2-222-1-1-122-12-1-1-1-1-2-2112-1-1-1-12222-1-1-1-1-1-1-1-1-2-20-2-211111111i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300-200200−i3−i3i3i300001-1000000
χ2722-22-2222-2-2222222222-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2202-22-22-222-2-200000000000000000000000000000200-200000002000-200000
χ2822-22-2222-2-2222222222-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2202-22-22-222-2-200000000000000000000000000000-20020000000-2000200000
χ2922-22-2-122-2-2-122-1-12-1-1-1-22-2-1-12-1-11-21111-2-21111120-11-112-2-1-111003−30033−3−33−33−3000033−3−333−3−3000200-20000000-1000103−300
χ3022-22-2-122-2-2-122-1-12-1-1-1-22-2-1-12-1-11-21111-2-21111120-11-112-2-1-111003−30033−3−33−33−3000033−3−333−3−3000-200200000001000-10−3300
χ3122-22-2-122-2-2-122-1-12-1-1-1-22-2-1-12-1-11-21111-2-21111120-11-112-2-1-11100−3300−3−333−33−330000−3−333−3−333000200-20000000-100010−3300
χ3222-22-2-122-2-2-122-1-12-1-1-1-22-2-1-12-1-11-21111-2-21111120-11-112-2-1-11100−3300−3−333−33−330000−3−333−3−333000-200200000001000-103−300
χ3322-2-22222-2-222222222-22-2222222-2-2-2-2-2-2-2-2-2-2-2-22-20-22-22-22-2-222000000000000000000000000000000200-200000002000-20000
χ3422-2-22222-2-222222222-22-2222222-2-2-2-2-2-2-2-2-2-2-2-22-20-22-22-22-2-222000000000000000000000000000000-20020000000-200020000
χ3522-2-222-12-2-22-12-12-1-1-1-2-1-22-12-1-1-1-2111-2-21111112101-1-221-111-1-100003−33−33−300003−33−33−33−33−33−30000200-20000000-10001003−3
χ3622-2-222-12-2-22-12-12-1-1-1-2-1-22-12-1-1-1-2111-2-21111112101-1-221-111-1-100003−33−33−300003−33−33−33−33−33−30000-200200000001000-100−33
χ3722-2-222-12-2-22-12-12-1-1-1-2-1-22-12-1-1-1-2111-2-21111112101-1-221-111-1-10000−33−33−330000−33−33−33−33−33−330000200-20000000-1000100−33
χ3822-2-222-12-2-22-12-12-1-1-1-2-1-22-12-1-1-1-2111-2-21111112101-1-221-111-1-10000−33−33−330000−33−33−33−33−33−330000-200200000001000-1003−3
χ39444444-2-2-2-24-2-2-2-21114-2-2-2-2-21114-2-2-2-2-21111114-24-2-2-2-2111111-2-244-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ40444444-2-2-2-24-2-2-2-21114-2-2-2-2-21114-2-2-2-2-21111114-2-4-2-2-2-211111122-4-42222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ4144444-24-2-2-2-24-2-21-211-24-2-2-21-211-24-2-211-2-21111-244-2-211-2-21111-2-2-2-244-2-2-2-21111-2-2-2-211111111000000000000000000000000
χ4244444-24-2-2-2-24-2-21-211-24-2-2-21-211-24-2-211-2-21111-24-4-2-211-2-211112222-4-42222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ4344444-2-2444-2-241-2-211-2-2441-2-211-2-211-2-2-2-21111-2-2411-2-2-2-2111144-2-2-2-21111-2-2-2-2-2-2-2-211111111000000000000000000000000
χ4444444-2-2444-2-241-2-211-2-2441-2-211-2-211-2-2-2-21111-2-2-411-2-2-2-21111-4-42222-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000000000000
χ4544444-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-24111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2111111111111−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000
χ4644444-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-4111111−1−3i32−1+3i32−1−3i32−1+3i32222222-1-1-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i321−3i321+3i321+3i321−3i32000000000000000000000000
χ4744444-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-24111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2-2-2111111111111−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000
χ4844444-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-4111111−1+3i32−1−3i32−1+3i32−1−3i32222222-1-1-1-1-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i321+3i321−3i321−3i321+3i32000000000000000000000000
χ49444-4-44-24444-24-24-2-2-2-42-4-4-24-2-2-24-2-2-244-2-2-2-2-2-2-42022-4-422222200000000000000000000000000000000000000000000000000
χ50444-4-44-2-2-2-24-2-2-2-2111-4222-2-21114-2-2-2-2-2111111-4202222-1-1-1-1-1-1−2i32i300000000−2i3−2i32i32i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000
χ51444-4-44-2-2-2-24-2-2-2-2111-4222-2-21114-2-2-2-2-2111111-4202222-1-1-1-1-1-12i3−2i3000000002i32i3−2i3−2i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000
χ52444-4-4-24444-244-2-24-2-22-4-4-4-2-24-2-2-24-2-2-2-244-2-2-2-22-402222-4-4222200000000000000000000000000000000000000000000000000
χ53444-4-4-24-2-2-2-24-2-21-2112-422-21-211-24-2-211-2-211112-4022-1-122-1-1-1-1−2i32i300000000i3i3−i3−i3−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000
χ54444-4-4-24-2-2-2-24-2-21-2112-422-21-211-24-2-211-2-211112-4022-1-122-1-1-1-12i3−2i300000000−i3−i3i3i32i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000
χ55444-4-4-2-2444-2-241-2-21122-4-41-2-211-2-211-2-2-2-21111220-1-12222-1-1-1-10000003-3-33000000003-3-333-3-33000000000000000000000000
χ56444-4-4-2-2444-2-241-2-21122-4-41-2-211-2-211-2-2-2-21111220-1-12222-1-1-1-1000000-333-300000000-333-3-333-3000000000000000000000000
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χ58444-4-4-2-2-2-2-2-2-2-2111−1−3i32−1+3i322222111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32220-1-1-1-1-1-11+3i321−3i321+3i321−3i322i3−2i30000-333-3−i3−i3i3i3−i3−i3i3i33+i32−3+i32−3+i323+i323−i32−3−i32−3−i323−i32000000000000000000000000
χ59444-4-4-2-2-2-2-2-2-2-2111−1+3i32−1−3i322222111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32220-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i32i30000-333-3i3i3−i3−i3i3i3−i3−i33−i32−3−i32−3−i323−i323+i32−3+i32−3+i323+i32000000000000000000000000
χ60444-4-4-2-2-2-2-2-2-2-2111−1+3i32−1−3i322222111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32220-1-1-1-1-1-11−3i321+3i321−3i321+3i322i3−2i300003-3-33−i3−i3i3i3−i3−i3i3i3−3+i323+i323+i32−3+i32−3−i323−i323−i32−3−i32000000000000000000000000
χ6144-44-444-22244-24-2-2-2-24-4-224-2-2-2-2-4-4-4-422222222-4404-4-22-22-2-22200000000000000000000000000000000000000000000000000
χ6244-44-44-24-4-44-24-24-2-2-2424-4-24-2-2-2-4222-4-4222222-4-20-224-4-22-2-22200000000000000000000000000000000000000000000000000
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χ6444-44-44-2-2224-2-2-2-211142-22-2-2111-422222-1-1-1-1-1-1-4-20-22-221-111-1-100000000000000−3i3i3i−3i−3i3i−3i3i3i−3i3i−3i000000000000000000000000
χ6544-44-4-24-222-24-2-21-211-2-4-22-21-2112-422-1-122-1-1-1-1240-221-1-2211-1-10023−23002323−23−23−33−330000−3−333−3−333000000000000000000000000
χ6644-44-4-24-222-24-2-21-211-2-4-22-21-2112-422-1-122-1-1-1-1240-221-1-2211-1-100−232300−23−2323233−33−3000033−3−333−3−3000000000000000000000000
χ6744-44-4-2-24-4-4-2-241-2-211-224-41-2-21122-1-12222-1-1-1-12-201-1-22-2211-1-10023−2300−3−33323−2323−230000−3−333−3−333000000000000000000000000
χ6844-44-4-2-24-4-4-2-241-2-211-224-41-2-21122-1-12222-1-1-1-12-201-1-22-2211-1-100−23230033−3−3−2323−2323000033−3−333−3−3000000000000000000000000
χ6944-44-4-2-2-222-2-2-2111−1−3i32−1+3i32-22-22111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i322-201-11-11-1−1−3i32−1+3i321+3i321−3i320023−2300−3−333−33−333i−3i−3i3iζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000
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χ7144-44-4-2-2-222-2-2-2111−1+3i32−1−3i32-22-22111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i322-201-11-11-1−1+3i32−1−3i321−3i321+3i320023−2300−3−333−33−33−3i3i3i−3i−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000
χ7244-44-4-2-2-222-2-2-2111−1+3i32−1−3i32-22-22111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i322-201-11-11-1−1+3i32−1−3i321−3i321+3i3200−23230033−3−33−33−33i−3i−3i3i2ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000
χ7344-4-4444-22244-24-2-2-2-2-442-24-2-2-2-2-4-4-4-4222222224-40-442-22-222-2-200000000000000000000000000000000000000000000000000
χ7444-4-444-2-2224-2-2-2-2111-4-22-2-2-2111-422222-1-1-1-1-1-14202-22-2-11-1-111000023−2323−2323−230000−33−33−33−33−33−33000000000000000000000000
χ7544-4-444-2-2224-2-2-2-2111-4-22-2-2-2111-422222-1-1-1-1-1-14202-22-2-11-1-1110000−2323−2323−232300003−33−33−33−33−33−3000000000000000000000000
χ7644-4-44-244-4-4-244-2-24-2-224-44-2-24-2-22-42222-4-42222-2-402-22-2-4422-2-200000000000000000000000000000000000000000000000000
χ7744-4-44-24-222-24-2-21-211242-2-21-2112-422-1-122-1-1-1-1-2-402-2-112-2-1-11100000000003i−3i−3i3i00003i3i−3i−3i−3i−3i3i3i000000000000000000000000
χ7844-4-44-24-222-24-2-21-211242-2-21-2112-422-1-122-1-1-1-1-2-402-2-112-2-1-1110000000000−3i3i3i−3i0000−3i−3i3i3i3i3i−3i−3i000000000000000000000000
χ7944-4-44-2-24-4-4-2-241-2-2112-2-441-2-21122-1-12222-1-1-1-1-220-112-22-2-1-111000023−23−33−33000023−2323−23−33−33−33−33000000000000000000000000
χ8044-4-44-2-24-4-4-2-241-2-2112-2-441-2-21122-1-12222-1-1-1-1-220-112-22-2-1-1110000−23233−33−30000−2323−23233−33−33−33−3000000000000000000000000
χ8144-4-44-2-2-222-2-2-2111−1−3i32−1+3i322-22-2111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-220-11-11-111+3i321−3i32−1−3i32−1+3i32000023−23−33−333i−3i−3i3i−33−33ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11000000000000000000000000
χ8244-4-44-2-2-222-2-2-2111−1−3i32−1+3i322-22-2111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-220-11-11-111+3i321−3i32−1−3i32−1+3i320000−23233−33−3−3i3i3i−3i3−33−3−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ11000000000000000000000000
χ8344-4-44-2-2-222-2-2-2111−1+3i32−1−3i322-22-2111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-220-11-11-111−3i321+3i32−1+3i32−1−3i32000023−23−33−33−3i3i3i−3i−33−33−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11000000000000000000000000
χ8444-4-44-2-2-222-2-2-2111−1+3i32−1−3i322-22-2111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-220-11-11-111−3i321+3i32−1+3i32−1−3i320000−23233−33−33i−3i−3i3i3−33−32ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11000000000000000000000000
χ854-400044400-4-4-4444440000-4-4-4-4-40000000000000000000000000000000000000000000000000002-20000002-22-2000000000000
χ864-400044400-4-4-4444440000-4-4-4-4-4000000000000000000000000000000000000000000000000000-22000000-22-22000000000000
χ874-400044-2−2i32i3-4-424-2-2-2-20000-422220000−2i32i3−2i32i3−2i32i3−2i32i30000000000000000000000000000000000000002-2000000−1+i31−i3−1−i31+i3000000000000
χ884-400044-2−2i32i3-4-424-2-2-2-20000-422220000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000-220000001−i3−1+i31+i3−1−i3000000000000
χ894-400044-22i3−2i3-4-424-2-2-2-20000-4222200002i3−2i32i3−2i32i3−2i32i3−2i30000000000000000000000000000000000000002-2000000−1−i31+i3−1+i31−i3000000000000
χ904-400044-22i3−2i3-4-424-2-2-2-20000-4222200002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000-220000001+i3−1−i31−i3−1+i3000000000000
χ918-80008-4800-84-8-48-4-4-400004-8444000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-80008-4-4−4i34i3-844-4-4222000044-2-2-20000−4i34i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ938-80008-4-44i3−4i3-844-4-4222000044-2-2-200004i3−4i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ948-8000-488004-8-8-4-48-4-4000044-844000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8000-48-4−4i34i34-84-42-42200004-24-2-200002i3−2i3−4i34i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ968-8000-48-44i3−4i34-84-42-42200004-24-2-20000−2i32i34i3−4i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ978-8000-4-480044-82-4-4220000-244-2-2006-600006-6-66000000000000000000000000000000000000000000000000000000000000000
χ988-8000-4-480044-82-4-4220000-244-2-200-660000-666-6000000000000000000000000000000000000000000000000000000000000000
χ998-8000-4-4-4−4i34i3444222−1−3i3−1+3i30000-2-2-21+3i31−3i3006-62i3−2i32i3−2i3−3−i33+i33−i3−3+i3000000000000000000000000000000000000000000000000000000000000000
χ1008-8000-4-4-4−4i34i3444222−1+3i3−1−3i30000-2-2-21−3i31+3i300-662i3−2i32i3−2i33−i3−3+i3−3−i33+i3000000000000000000000000000000000000000000000000000000000000000
χ1018-8000-4-4-44i3−4i3444222−1−3i3−1+3i30000-2-2-21+3i31−3i300-66−2i32i3−2i32i33+i3−3−i3−3+i33−i3000000000000000000000000000000000000000000000000000000000000000
χ1028-8000-4-4-44i3−4i3444222−1+3i3−1−3i30000-2-2-21−3i31+3i3006-6−2i32i3−2i32i3−3+i33−i33+i3−3−i3000000000000000000000000000000000000000000000000000000000000000

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