Finite Group Databasebeta

← Group #13170624

Character table — Group #13170624

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222224444444444444444444444466888888888888121212121212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363672727272108108
order122333446666612123336666666661212121212121212121212883666612121212121212244466812121212121224242424242424242424242424242424224466612121212121212121222246612126661288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111111111111-1-1-1-1111-1-1111-1-1-1-11-1-11-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-11-1-111111111111111111111-1-1-1-1-1-1-111-1-1-11111-111-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-111-111
χ711111111111111111111111111111111111111-1-1111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-11-1-1-1-11-1-1111
χ811111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111111-1-1-1111-111-1-11-11-111-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1-11-111-11-1-11-111-1
χ1011-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111111-1-1-1111-111-1-11-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11111-11-1-1-1-1-111-1-111-11-11-1-111-11
χ1111-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111111-1-1-1111-111-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-11-111111-1-111-1-1-11-1111-1-1-11
χ1211-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111111-1-1-1111-111-1-1-11-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1111-11-11-11-11-11-11-1
χ1311-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111-1-11-1-1-1111-111-1-11-11-1111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111-1-11-11-11-11-11-11-1-11
χ1411-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111-1-11-1-1-1111-111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11111-11-1-1-1-1-11111-1-1-11-1111-1-11-1
χ1511-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111-1-11-1-1-1111-111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-11-111111-1-1-1-111-11-11-1-1111-1
χ1611-1111-11-1-1111-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11111-1-11-1-1-1111-111-1-1-11-11-1-1111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-111-11-111-11-1-11-11-11
χ17222222-2-222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-20022222-2-2-2-2-2-2-2000000000000000000000000000002-2-2200000000000000002-2-22000000
χ18222222-2-222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-20022222-2-2-2-2-2-2-200000000000000000000000000000-222-20000000000000000-222-2000000
χ1922222-122-1-1-12222-1-1222-1-1-1-1-12-1-122-1-122-12-1-122-12-1-1-12-1-1-1-1-1-1002200200222222-1-1-1-1-1-122-1-1-1-1-1-10000000-1-1000-1-1-1-1022000000-1-1000
χ2022222-122-1-1-12222-1-1222-1-1-1-1-12-1-122-1-122-12-1-122-12-1-1-12-1-1-1-1-1-100-2-200200-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-100000001100011110-2-200000011000
χ2122222-122-1-1-12222-1-1222-1-1-1-1-12-1-122-1-122-12-1-1-2-2-12-1-1-12-1-1-1-1-1-1002200-2002222-2-2111111-2-21111110000000-1-1000-1-1-1-10-2-200000011000
χ2222222-122-1-1-12222-1-1222-1-1-1-1-12-1-122-1-122-12-1-1-2-2-12-1-1-12-1-1-1-1-1-100-2-200-200-2-2-2-2-2-2111111-2-21111110000000110001111022000000-1-1000
χ232222-12222222-1222-1-12-122-1-12-1-12-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1-1-12222-1-10-1-1-1-1-1-1000000000000000022222-1-1222-1-1-1-1-1-10000-1-1-1-1000000
χ242222-12222222-1222-1-12-122-1-12-1-12-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1-1-122-2-2-1-10-1-111110000000000000000-2-2-2-22-1-1-2-22-1-1111100001111000000
χ252222-12222222-1222-1-12-122-1-12-1-12-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1-1-1-2-22211011-1-1-1-10000000000000000-2-2-2-2-21122-211-1-1-1-100001111000000
χ262222-12222222-1222-1-12-122-1-12-1-12-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211011111100000000000000002222-211-2-2-21111110000-1-1-1-1000000
χ272222-12-2-22222-1-2-22-1-12-122-1-12-1-1-211-2-211-2-2-2-200-1-1-1-1-111111110000−i3i30−i3i3−i3i3−i3i300000000000000002-2-220−i3i3000−i3i3−i3i3−i3i30000-111-1000000
χ282222-12-2-22222-1-2-22-1-12-122-1-12-1-1-211-2-211-2-2-2-200-1-1-1-1-111111110000−i3i30−i3i3i3−i3i3−i30000000000000000-222-20−i3i3000−i3i3i3−i3i3−i300001-1-11000000
χ292222-12-2-22222-1-2-22-1-12-122-1-12-1-1-211-2-211-2-2-2-200-1-1-1-1-111111110000i3−i30i3−i3−i3i3−i3i30000000000000000-222-20i3−i3000i3−i3−i3i3−i3i300001-1-11000000
χ302222-12-2-22222-1-2-22-1-12-122-1-12-1-1-211-2-211-2-2-2-200-1-1-1-1-111111110000i3−i30i3−i3i3−i3i3−i300000000000000002-2-220i3−i3000i3−i3i3−i3i3−i30000-111-1000000
χ31222-12222222-12-1-1-12-1-12-1-122-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-12200222220000-1-122-1-1-1-1-1-122-1-1-1-10000-1-1-100-1-1-1000020020000-100-100
χ32222-12222222-12-1-1-12-1-12-1-122-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-22-2-20000-1-122-1-1-1-1-1-122-1-1-1-10000111001110000-200-20000100100
χ33222-12222222-12-1-1-12-1-12-1-122-1-12222-1-1-1-12-1-1-1-2-2-1-1-1-1-1-122-1-1-1-1220022-222000011-2-2111111-2-211110000-1-1-100-1-1-10000-200-20000100100
χ34222-12222222-12-1-1-12-1-12-1-122-1-12222-1-1-1-12-1-1-1-2-2-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-2-2000011-2-2111111-2-21111000011100111000020020000-100-100
χ3522-22222-2-2-222222222-2-2-2-2-2-22222-222222-2-2-2-2002-2-2-22-2-22-2-2220000000000000000000000000000022-2-2000000000000000022-2-2000000
χ3622-22222-2-2-222222222-2-2-2-2-2-22222-222222-2-2-2-2002-2-2-22-2-22-2-22200000000000000000000000000000-2-2220000000000000000-2-222000000
χ3722-222-1-2211-122-2-2-1-12-2-21111-12-112-211-2-2-12-1-122-1-211-12-11-1-111002-200-20022-2-222-1-1-1-1-1-1-2-21111110000000-11000-1-11102-2000000-11000
χ3822-222-1-2211-122-2-2-1-12-2-21111-12-112-211-2-2-12-1-122-1-211-12-11-1-11100-2200-200-2-22222-1-1-1-1-1-1-2-211111100000001-100011-1-10-220000001-1000
χ3922-222-1-2211-122-2-2-1-12-2-21111-12-112-211-2-2-12-1-1-2-2-1-211-12-11-1-111002-20020022-2-2-2-211111122-1-1-1-1-1-10000000-11000-1-1110-220000001-1000
χ4022-222-1-2211-122-2-2-1-12-2-21111-12-112-211-2-2-12-1-1-2-2-1-211-12-11-1-11100-2200200-2-222-2-211111122-1-1-1-1-1-100000001-100011-1-102-2000000-11000
χ4122-22-122-2-2-222-1222-1-1-21-2-2112-1-121-122-1-1-2-2-2-200-1111-111-111-1-10000−i3i30i3−i3−i3i3i3−i3000000000000000022-2-20−i3i3000i3−i3−i3i3i3−i30000-1-111000000
χ4222-22-122-2-2-222-1222-1-1-21-2-2112-1-121-122-1-1-2-2-2-200-1111-111-111-1-10000−i3i30i3−i3i3−i3−i3i30000000000000000-2-2220−i3i3000i3−i3i3−i3−i3i3000011-1-1000000
χ4322-22-122-2-2-222-1222-1-1-21-2-2112-1-121-122-1-1-2-2-2-200-1111-111-111-1-10000i3−i30−i3i3−i3i3i3−i30000000000000000-2-2220i3−i3000−i3i3−i3i3i3−i3000011-1-1000000
χ4422-22-122-2-2-222-1222-1-1-21-2-2112-1-121-122-1-1-2-2-2-200-1111-111-111-1-10000i3−i30−i3i3i3−i3−i3i3000000000000000022-2-20i3−i3000−i3i3i3−i3−i3i30000-1-111000000
χ4522-22-12-22-2-222-1-2-22-1-1-21-2-2112-1-1-2-11-2-211222200-1111-1-1-11-1-1112-22-2-1-1011-1-11100000000000000002-22-22-1-12-2-211-1-1110000-11-11000000
χ4622-22-12-22-2-222-1-2-22-1-1-21-2-2112-1-1-2-11-2-211222200-1111-1-1-11-1-1112-2-22-1-101111-1-10000000000000000-22-222-1-1-22-21111-1-100001-11-1000000
χ4722-22-12-22-2-222-1-2-22-1-1-21-2-2112-1-1-2-11-2-211222200-1111-1-1-11-1-111-222-2110-1-1-1-1110000000000000000-22-22-2112-22-1-1-1-11100001-11-1000000
χ4822-22-12-22-2-222-1-2-22-1-1-21-2-2112-1-1-2-11-2-211222200-1111-1-1-11-1-111-22-22110-1-111-1-100000000000000002-22-2-211-222-1-111-1-10000-11-11000000
χ4922-2-122-22-2-22-1211-12-11-211-2-2-1-12-22-211112-1-1-122-1111-1-12-2-1-1112-20022-2-2-20000-1-122-1-1-1-111-2-211110000-1-1-1001110000-20020000100-100
χ5022-2-122-22-2-22-1211-12-11-211-2-2-1-12-22-211112-1-1-122-1111-1-12-2-1-111-2200-2-2-2220000-1-122-1-1-1-111-2-21111000011100-1-1-10000200-20000-100100
χ5122-2-122-22-2-22-1211-12-11-211-2-2-1-12-22-211112-1-1-1-2-2-1111-1-12-2-1-1112-200222-2-2000011-2-21111-1-122-1-1-1-10000-1-1-1001110000200-20000-100100
χ5222-2-122-22-2-22-1211-12-11-211-2-2-1-12-22-211112-1-1-1-2-2-1111-1-12-2-1-111-2200-2-2222000011-2-21111-1-122-1-1-1-1000011100-1-1-10000-20020000100-100
χ5344444-2-4-4-2-2-244-4-4-2-2444-2-2-2-2-24-22-4-422-4-42-42200-24-2-2-2-422222200000000000000000000000000000000000000000000000000000000000
χ544444-2-244-2-2-24-244-21-24-2-2-211-2-21-2-2-2-2-2-2-2-24-2-2001-2111-2111111004400000-2-2-2-200000000000000000000000-2-2000111100000000000000
χ554444-2-244-2-2-24-244-21-24-2-2-211-2-21-2-2-2-2-2-2-2-24-2-2001-2111-211111100-4-40000022220000000000000000000000022000-1-1-1-100000000000000
χ564444-2-2-4-4-2-2-24-2-4-4-21-24-2-2-211-2-2122222222-422001-21112-1-1-1-1-1-1000000000−2i32i3−2i32i30000000000000000000000000000i3−i3i3−i300000000000000
χ574444-2-2-4-4-2-2-24-2-4-4-21-24-2-2-211-2-2122222222-422001-21112-1-1-1-1-1-10000000002i3−2i32i3−2i30000000000000000000000000000−i3i3−i3i300000000000000
χ58444-244-4-4444-2422-24-2-24-2-244-2-24-4-4-42222-422200-2-2-2-2-22-4-4222200000000000000000000000000000000000000000000000000000000000
χ59444-24-244-2-2-2-24-2-21-2-2-2411-2-21-2-2-24411-2-2-2-211441-2111-2-2-211110000004000000-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ60444-24-244-2-2-2-24-2-21-2-2-2411-2-21-2-2-24411-2-2-2-211-4-41-2111-2-2-21111000000-40000002222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ61444-24-2-4-4-2-2-2-24221-2-2-2411-2-21-2-22-4-4-1-12222-1-1001-2111222-1-1-1-1000000000000000003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ62444-24-2-4-4-2-2-2-24221-2-2-2411-2-21-2-22-4-4-1-12222-1-1001-2111222-1-1-1-100000000000000000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ63444-2-2444444-2-2-2-2-2-21-2-2-2-2-2-2-21-24-2-2-2-2114-2-2-200111111-2-211114400-2-20-2-2000000000000000000000000-21100-211000000000000000000
χ64444-2-2444444-2-2-2-2-2-21-2-2-2-2-2-2-21-24-2-2-2-2114-2-2-200111111-2-21111-4-400220220000000000000000000000002-1-1002-1-1000000000000000000
χ65444-2-24-4-4444-2-222-2-21-2-2-2-2-2-2-21-2-42222-1-1-42220011111-122-1-1-1-10000−2i32i30−2i32i30000000000000000000000000i3−i3000i3−i3000000000000000000
χ66444-2-24-4-4444-2-222-2-21-2-2-2-2-2-2-21-2-42222-1-1-42220011111-122-1-1-1-100002i3−2i302i3−2i30000000000000000000000000−i3i3000−i3i3000000000000000000
χ6744-444-24-422-24444-2-24-4-42222-24-2-2-44-2-2442-42200-2-422-2-42-222-2-200000000000000000000000000000000000000000000000000000000000
χ6844-44-2-24-422-24-244-21-2-4222-1-1-2-21-22-2-2-2-2-22-4220012-1-112-11-1-111000000000−2i32i32i3−2i30000000000000000000000000000i3−i3−i3i300000000000000
χ6944-44-2-24-422-24-244-21-2-4222-1-1-2-21-22-2-2-2-2-22-4220012-1-112-11-1-1110000000002i3−2i3−2i32i30000000000000000000000000000−i3i3i3−i300000000000000
χ7044-44-2-2-4422-24-2-4-4-21-2-4222-1-1-2-212-222222-24-2-20012-1-11-21-111-1-1004-400000-2-22200000000000000000000000-2200011-1-100000000000000
χ7144-44-2-2-4422-24-2-4-4-21-2-4222-1-1-2-212-222222-24-2-20012-1-11-21-111-1-100-440000022-2-2000000000000000000000002-2000-1-11100000000000000
χ7244-4-2444-4-4-44-24-2-2-24-22-422-4-4-2-244-44-2-2-2-2-422200-2222-22-4422-2-200000000000000000000000000000000000000000000000000000000000
χ7344-4-24-24-422-2-24-2-21-2-22-4-1-1221-2-2-2-4411-2-222-1-10012-1-1122-2-1-111000000000000000003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ7444-4-24-24-422-2-24-2-21-2-22-4-1-1221-2-2-2-4411-2-222-1-10012-1-1122-2-1-11100000000000000000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ7544-4-24-2-4422-2-24221-2-22-4-1-1221-2-224-4-1-122-2-2114412-1-11-2-2211-1-1000000-4000000-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ7644-4-24-2-4422-2-24221-2-22-4-1-1221-2-224-4-1-122-2-211-4-412-1-11-2-2211-1-100000040000002222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ7744-4-2-244-4-4-44-2-2-2-2-2-21222222-21-242-2-2-211-4222001-1-1-11-12-2-1-1110000−2i32i302i3−2i30000000000000000000000000i3−i3000−i3i3000000000000000000
χ7844-4-2-244-4-4-44-2-2-2-2-2-21222222-21-242-2-2-211-4222001-1-1-11-12-2-1-11100002i3−2i30−2i32i30000000000000000000000000−i3i3000i3−i3000000000000000000
χ7944-4-2-24-44-4-44-2-222-2-21222222-21-2-4-2222-1-14-2-2-2001-1-1-111-2211-1-14-400-2-2022000000000000000000000000-211002-1-1000000000000000000
χ8044-4-2-24-44-4-44-2-222-2-21222222-21-2-4-2222-1-14-2-2-2001-1-1-111-2211-1-1-4400220-2-20000000000000000000000002-1-100-211000000000000000000
χ814-404440000-4-4-400444000000-4-4-400000000000−2i22i24000-400000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000
χ824-404440000-4-4-400444000000-4-4-4000000000002i2−2i24000-4000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000
χ834-4044-200−2i32i32-4-400-2-2400−2i32i3−2i32i32-4200000000000−2i22i2-20−2i32i3200000000000000000000−2i22i2i2−i2i2−i2i2−i2006−66−66−6000000000000000000000000000000
χ844-4044-200−2i32i32-4-400-2-2400−2i32i3−2i32i32-42000000000002i2−2i2-20−2i32i32000000000000000000002i2−2i2−i2i2−i2i2−i2i200−66−66−66000000000000000000000000000000
χ854-4044-2002i3−2i32-4-400-2-24002i3−2i32i3−2i32-4200000000000−2i22i2-202i3−2i3200000000000000000000−2i22i2i2−i2i2−i2i2−i200−66−66−66000000000000000000000000000000
χ864-4044-2002i3−2i32-4-400-2-24002i3−2i32i3−2i32-42000000000002i2−2i2-202i3−2i32000000000000000000002i2−2i2−i2i2−i2i2−i2i2006−66−66−6000000000000000000000000000000
χ874-40-2440000-42-423−23-24-200000022-400023−2323−230000−2i22i2-200020000023−230000000000000i2−i2−2i22i2i2−i2i2−i2i6−i600i6−i6−i6i6000000000000000000000000000000
χ884-40-2440000-42-423−23-24-200000022-400023−2323−2300002i2−2i2-200020000023−230000000000000−i2i22i2−2i2−i2i2−i2i2−i6i600−i6i6i6−i6000000000000000000000000000000
χ894-40-2440000-42-4−2323-24-200000022-4000−2323−23230000−2i22i2-2000200000−23230000000000000i2−i2−2i22i2i2−i2i2−i2−i6i600−i6i6i6−i6000000000000000000000000000000
χ904-40-2440000-42-4−2323-24-200000022-4000−2323−232300002i2−2i2-2000200000−23230000000000000−i2i22i2−2i2−i2i2−i2i2i6−i600i6−i6−i6i6000000000000000000000000000000
χ914-40-24-200−2i32i322-423−231-2-200i3−i3−2i32i3-122000−3323−23003i−3i−2i22i210i3−i3-10003i−3i−330000000000000i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ924-40-24-200−2i32i322-423−231-2-200i3−i3−2i32i3-122000−3323−23003i−3i2i2−2i210i3−i3-10003i−3i−330000000000000−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ934-40-24-200−2i32i322-4−23231-2-200i3−i3−2i32i3-1220003−3−232300−3i3i−2i22i210i3−i3-1000−3i3i3−30000000000000i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ944-40-24-200−2i32i322-4−23231-2-200i3−i3−2i32i3-1220003−3−232300−3i3i2i2−2i210i3−i3-1000−3i3i3−30000000000000−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ954-40-24-2002i3−2i322-423−231-2-200−i3i32i3−2i3-122000−3323−2300−3i3i−2i22i210−i3i3-1000−3i3i−330000000000000i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ964-40-24-2002i3−2i322-423−231-2-200−i3i32i3−2i3-122000−3323−2300−3i3i2i2−2i210−i3i3-1000−3i3i−330000000000000−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ974-40-24-2002i3−2i322-4−23231-2-200−i3i32i3−2i3-1220003−3−2323003i−3i−2i22i210−i3i3-10003i−3i3−30000000000000i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ984-40-24-2002i3−2i322-4−23231-2-200−i3i32i3−2i3-1220003−3−2323003i−3i2i2−2i210−i3i3-10003i−3i3−30000000000000−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ99888-4-4-488-4-4-4-4-4-4-4222-4-42222222-4-4-42222-4-42200-12-1-1-1222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ100888-4-4-4-8-8-4-4-4-4-444222-4-42222222444-2-2-2-244-2-200-12-1-1-1-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10188-8-4-4-48-844-4-4-4-4-422244-2-2-2-2222-44-4222244-2-200-1-211-1-2-2211-1-100000000000000000000000000000000000000000000000000000000000
χ10288-8-4-4-4-8844-4-4-44422244-2-2-2-22224-44-2-2-2-2-4-42200-1-211-122-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1038-808-480000-8-84008-4-4000000-8440000000000000-40004000000000000000000000000000000000000000000000000000000000000000000
χ1048-808-4-400−4i34i34-8400-42-400−4i34i32i3−2i344-20000000000000202i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1058-808-4-4004i3−4i34-8400-42-4004i3−4i3−2i32i344-2000000000000020−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1068-80-4-480000-84443−43-4-420000004-2400043−43−23230000002000-200000−232300000000000000000000000000000000000000000000000000000000000
χ1078-80-4-480000-844−4343-4-420000004-24000−434323−230000002000-20000023−2300000000000000000000000000000000000000000000000000000000000
χ1088-80-4-4-400−4i34i344443−43222002i3−2i32i3−2i3-2-2-2000−2323−2323006i−6i00-10−i3i31000−3i3i3−300000000000000000000000000000000000000000000000000000000000
χ1098-80-4-4-400−4i34i3444−4343222002i3−2i32i3−2i3-2-2-200023−2323−2300−6i6i00-10−i3i310003i−3i−3300000000000000000000000000000000000000000000000000000000000
χ1108-80-4-4-4004i3−4i344443−4322200−2i32i3−2i32i3-2-2-2000−2323−232300−6i6i00-10i3−i310003i−3i3−300000000000000000000000000000000000000000000000000000000000
χ1118-80-4-4-4004i3−4i3444−434322200−2i32i3−2i32i3-2-2-200023−2323−23006i−6i00-10i3−i31000−3i3i−3300000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.