Finite Group Databasebeta

← Group #13155434

Character table — Group #13155434

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order124423334666121212121212333666666121212121212121212366666612121212121212248888242424242424242422446612126666121212122424242424242424242424244444612121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-11-1i−ii−iii−i−iii−i−i1-11-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i-11ii−i−iii−i−i-11
χ1011-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-11-1i−i−iiii−i−i−i−iii-11-11-1-1111111-1-1-1-1i−i−iiii−i−i−i−iiii−i−ii1-1ii−i−i−i−iii1-1
χ1111-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-11-1−iii−i−i−iiiii−i−i-11-11-1-1111111-1-1-1-1−iii−i−i−iiiii−i−i−iii−i1-1−i−iiiii−i−i1-1
χ1211-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-11-1−ii−ii−i−iii−i−iii1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii-11−i−iii−i−iii-11
χ1311-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-11i−ii−iii−i−iii−i−i1-11-111-1-1-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii-11−i−iii−i−iii1-1
χ1411-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-11i−i−iiii−i−i−i−iii-11-11-1-111-1-1-1-11111i−i−iiii−i−i−i−iii−iii−i1-1−i−iiiii−i−i-11
χ1511-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-11−iii−i−i−iiiii−i−i-11-11-1-111-1-1-1-11111−iii−i−i−iiiii−i−ii−i−ii1-1ii−i−i−i−iii-11
χ1611-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-11−ii−ii−i−iii−i−iii1-11-111-1-1-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i-11ii−i−iii−i−i1-1
χ172222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1002222-1-1-1-1-1-1-1-12222-1-1-1-1000000002222-1-1-1-1-1-1-1-10000-1-10000000000
χ182222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-10022-2-2-1-1-1-11111-2-2-2-211110000000022-2-2-1-1-1-111110000110000000000
χ192222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-100-2-2221111-1-1-1-1-2-2-2-2111100000000-2-2221111-1-1-1-10000110000000000
χ202222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-100-2-2-2-2111111112222-1-1-1-100000000-2-2-2-2111111110000-1-10000000000
χ21222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-122002200002222000000002-1-1-12-1-1-100-1-10000-1-1-1-10022000000-1-1-1-100
χ22222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-12200-2-20000-2-2-2-2000000002-1-1-12-1-1-100110000111100-2-2000000111100
χ23222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-1-2-200220000222200000000-2111-211100-1-10000-1-1-1-100-2-2000000111100
χ24222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-1-2-200-2-20000-2-2-2-200000000-2111-21110011000011110022000000-1-1-1-100
χ2522222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-12222002222000000000000-12-1-1-12-1-1-1-100-1-1-1-10000220000-1-1-1-1000000
χ2622222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-122-2-200-2-2-2-2000000000000-12-1-1-12-1-1110011110000-2-200001111000000
χ2722222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-2-2220022220000000000001-2111-211-1-100-1-1-1-10000-2-200001111000000
χ2822222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-2-2-2-200-2-2-2-20000000000001-2111-211110011110000220000-1-1-1-1000000
χ292222-2222-2222222222222-2222-2-2-2-2-22222222-2-2-2-2-22-2-2-2-2-222000000000000002-2-222222000000000000000000000000-2-20000000000
χ302222-2222-2222222222222-2222-2-2-2-2-22222222-2-2-2-2-22-2-2-2-2-22200000000000000-222-2-2-2-2-2000000000000000000000000220000000000
χ312222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-1000000−i3i3−i3i3−i3i3−i3i32-2-22-1-1-1-1000000000000−i3i3−i3i3−i3i3−i3i30000110000000000
χ322222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-1000000−i3i3−i3i3i3−i3i3−i3-222-21111000000000000−i3i3−i3i3i3−i3i3−i30000-1-10000000000
χ332222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-1000000i3−i3i3−i3−i3i3−i3i3-222-21111000000000000i3−i3i3−i3−i3i3−i3i30000-1-10000000000
χ342222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-1000000i3−i3i3−i3i3−i3i3−i32-2-22-1-1-1-1000000000000i3−i3i3−i3i3−i3i3−i30000110000000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-20000000000000022-2-222-2-20000000000000000000000002-20000000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-200000000000000-2-222-2-222000000000000000000000000-220000000000
χ3722-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-211110000003−3−333−3−3322-2-2-1-1110000000000003−3−333−3−330000-110000000000
χ3822-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-211110000003−3−33−333−3-2-22211-1-10000000000003−3−33−333−300001-10000000000
χ3922-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-21111000000−333−33−3−33-2-22211-1-1000000000000−333−33−3−3300001-10000000000
χ4022-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-21111000000−333−3−333−322-2-2-1-111000000000000−333−3−333−30000-110000000000
χ4122-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-111002i−2i2i−2i−i−iii−i−iii2-22-2-1-111000000002i−2i2i−2i−i−iii−i−iii00001-10000000000
χ4222-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-111002i−2i−2i2i−i−iiiii−i−i-22-2211-1-1000000002i−2i−2i2i−i−iiiii−i−i0000-110000000000
χ4322-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-11100−2i2i2i−2iii−i−i−i−iii-22-2211-1-100000000−2i2i2i−2iii−i−i−i−iii0000-110000000000
χ4422-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-11100−2i2i−2i2iii−i−iii−i−i2-22-2-1-11100000000−2i2i−2i2iii−i−iii−i−i00001-10000000000
χ4522-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-1112-2002i−2i00002i2i−2i−2i000000002-1-1-1-211100−ii0000−i−iii002i−2i000000−i−iii00
χ4622-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-1112-200−2i2i0000−2i−2i2i2i000000002-1-1-1-211100i−i0000ii−i−i00−2i2i000000ii−i−i00
χ4722-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-111-22002i−2i00002i2i−2i−2i00000000-21112-1-1-100−ii0000−i−iii00−2i2i000000ii−i−i00
χ4822-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-111-2200−2i2i0000−2i−2i2i2i00000000-21112-1-1-100i−i0000ii−i−i002i−2i000000−i−iii00
χ4922-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-1112-22i−2i002i2i−2i−2i000000000000-12-1-11-211−ii00−i−iii00002i−2i0000−i−iii000000
χ5022-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-1112-2−2i2i00−2i−2i2i2i000000000000-12-1-11-211i−i00ii−i−i0000−2i2i0000ii−i−i000000
χ5122-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-111-222i−2i002i2i−2i−2i0000000000001-211-12-1-1−ii00−i−iii0000−2i2i0000ii−i−i000000
χ5222-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-111-22−2i2i00−2i−2i2i2i0000000000001-211-12-1-1i−i00ii−i−i00002i−2i0000−i−iii000000
χ53444444-2-244-2-244-2-2-2-2-21-2-2-21-24-24-2-2-2-2-2-2111-21-2111-21-211110000440000-2-2-2-2000000000000000000-2-2000011110000000000000000
χ54444444-2-244-2-244-2-2-2-2-21-2-2-21-24-24-2-2-2-2-2-2111-21-2111-21-211110000-4-400002222000000000000000000220000-1-1-1-10000000000000000
χ5544444-24-24-24-2-2-244-2-21-2-2-21-2-2-24-24-2-2-211-2-211-2-21111-2-21111004400-2-2-2-200000000000000000000-2-200111100000000000000000000
χ5644444-24-24-24-2-2-244-2-21-2-2-21-2-2-24-24-2-2-211-2-211-2-21111-2-2111100-4-4002222000000000000000000002200-1-1-1-100000000000000000000
χ5744444-2-244-2-24-2-2-2-244-2-214-2-21-2-2-2-2411-2-2-2-21-2-21111-2-2111114400000000000000000000-2-211-2-2110000000000000000000000000000
χ5844444-2-244-2-24-2-2-2-244-2-214-2-21-2-2-2-2411-2-2-2-21-2-21111-2-211111-4-40000000000000000000022-1-122-1-10000000000000000000000000000
χ594444-44-24-44-2444-2-2444-2-2-44-2-2-42-42-4-2-244-2-2-2-42222-2-42222-2-20000000000000000000000000000000000000000000000000000000000
χ604444-44-2-2-44-2-244-2-2-2-2-21-22-21-2-42-422-2-2-2-21112-12-1-112-12-1-1110000000000−2i32i3−2i32i3000000000000000000000000i3−i3i3−i30000000000000000
χ614444-44-2-2-44-2-244-2-2-2-2-21-22-21-2-42-422-2-2-2-21112-12-1-112-12-1-11100000000002i3−2i32i3−2i3000000000000000000000000−i3i3−i3i30000000000000000
χ624444-4-244-4-244-2-24444-24-2-4-24-22-42-4-4-2-2-2-244-22-4222-22-4222-2-20000000000000000000000000000000000000000000000000000000000
χ634444-4-24-2-4-24-2-2-244-2-21-2-221-2-22-42-42-2-211-2-21-122-1-11-122-1-111000000−2i32i3−2i32i3000000000000000000000000i3−i3i3−i300000000000000000000
χ644444-4-24-2-4-24-2-2-244-2-21-2-221-2-22-42-42-2-211-2-21-122-1-11-122-1-1110000002i3−2i32i3−2i3000000000000000000000000−i3i3−i3i300000000000000000000
χ654444-4-2-24-4-2-24-2-2-2-244-2-21-4-2-212222-411-2-2-2-2122-1-1-1122-1-1-1110000000000000000000000003-3003-30000000000000000000000000000
χ664444-4-2-24-4-2-24-2-2-2-244-2-21-4-2-212222-411-2-2-2-2122-1-1-1122-1-1-111000000000000000000000000-3300-330000000000000000000000000000
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χ6844-4-444-2-2-44-2-2-4-42222-21-2-2-21-24-2-4222222-1-11-21-21112-12-1-1-1-1000000000023−23−2323000000000000000000000000−333−30000000000000000
χ6944-4-444-2-2-44-2-2-4-42222-21-2-2-21-24-2-4222222-1-11-21-21112-12-1-1-1-10000000000−232323−230000000000000000000000003−3−330000000000000000
χ7044-4-44-244-4-24422-4-4-4-4-24-24-24-2-242-4-42222-4-4-2-24-2-2-2-22-4222220000000000000000000000000000000000000000000000000000000000
χ7144-4-44-24-2-4-24-222-4-4221-2-2-21-2-2-242-4222-1-12211-2-2111-122-1-1-1-100000023−23−2323000000000000000000000000−333−300000000000000000000
χ7244-4-44-24-2-4-24-222-4-4221-2-2-21-2-2-242-4222-1-12211-2-2111-122-1-1-1-1000000−232323−230000000000000000000000003−3−3300000000000000000000
χ7344-4-44-2-24-4-2-242222-4-4-2-214-2-21-2-222-4-1-122221-2-2111122-1-1-1-1-10000000000000000000000003-300-330000000000000000000000000000
χ7444-4-44-2-24-4-2-242222-4-4-2-214-2-21-2-222-4-1-122221-2-2111122-1-1-1-1-1000000000000000000000000-33003-30000000000000000000000000000
χ7544-4-4-44-2-244-2-2-4-42222-21-22-21-2-424-2-22222-1-112-12-1-11-21-211-1-100004i−4i0000−2i−2i2i2i000000000000000000−2i2i0000ii−i−i0000000000000000
χ7644-4-4-44-2-244-2-2-4-42222-21-22-21-2-424-2-22222-1-112-12-1-11-21-211-1-10000−4i4i00002i2i−2i−2i0000000000000000002i−2i0000−i−iii0000000000000000
χ7744-4-4-4-24-24-24-222-4-4221-2-221-2-22-4-24-222-1-1221-122-1-111-2-211-1-1004i−4i00−2i−2i2i2i00000000000000000000−2i2i00ii−i−i00000000000000000000
χ7844-4-4-4-24-24-24-222-4-4221-2-221-2-22-4-24-222-1-1221-122-1-111-2-211-1-100−4i4i002i2i−2i−2i000000000000000000002i−2i00−i−iii00000000000000000000
χ7944-4-4-4-2-244-2-242222-4-4-2-21-4-2-2122-2-24-1-12222122-1-1-11-2-2111-1-14-400000000000000000000-2-21122-1-10000000000000000000000000000
χ8044-4-4-4-2-244-2-242222-4-4-2-21-4-2-2122-2-24-1-12222122-1-1-11-2-2111-1-1-440000000000000000000022-1-1-2-2110000000000000000000000000000
χ814-44i−4i04440-4-4-44i−4i4i−4i4i−4i4440-4-4-4000004i−4i4i−4i4i−4i400000-4000004i−4i0000000000000000000000000000000000000000000000000000000000
χ824-44i−4i044-20-4-424i−4i4i−4i−2i2i-2-24022-4000004i−4i−2i2i−2i2i-200000200000−2i2i000000000000000000−2i32i323−23000000000000000000000000000000000000
χ834-44i−4i044-20-4-424i−4i4i−4i−2i2i-2-24022-4000004i−4i−2i2i−2i2i-200000200000−2i2i0000000000000000002i3−2i3−2323000000000000000000000000000000000000
χ844-44i−4i04-240-42-44i−4i−2i2i4i−4i4-2-20-42200000−2i2i4i−4i−2i2i-200000200000−2i2i0000000000000000000000000000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100
χ854-44i−4i04-240-42-44i−4i−2i2i4i−4i4-2-20-42200000−2i2i4i−4i−2i2i-200000200000−2i2i0000000000000000000000000000000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100
χ864-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-24-202-4200000−2i2i−2i2i4i−4i-200000200000−2i2i000000000000000000000000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000
χ874-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-24-202-4200000−2i2i−2i2i4i−4i-200000200000−2i2i000000000000000000000000000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11000000
χ884-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i4440-4-4-400000−4i4i−4i4i−4i4i400000-400000−4i4i0000000000000000000000000000000000000000000000000000000000
χ894-4−4i4i044-20-4-42−4i4i−4i4i2i−2i-2-24022-400000−4i4i2i−2i2i−2i-2000002000002i−2i000000000000000000−2i32i3−2323000000000000000000000000000000000000
χ904-4−4i4i044-20-4-42−4i4i−4i4i2i−2i-2-24022-400000−4i4i2i−2i2i−2i-2000002000002i−2i0000000000000000002i3−2i323−23000000000000000000000000000000000000
χ914-4−4i4i04-240-42-4−4i4i2i−2i−4i4i4-2-20-422000002i−2i−4i4i2i−2i-2000002000002i−2i0000000000000000000000000000000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100
χ924-4−4i4i04-240-42-4−4i4i2i−2i−4i4i4-2-20-422000002i−2i−4i4i2i−2i-2000002000002i−2i0000000000000000000000000000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100
χ934-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-24-202-42000002i−2i2i−2i−4i4i-2000002000002i−2i000000000000000000000000000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000
χ944-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-24-202-42000002i−2i2i−2i−4i4i-2000002000002i−2i000000000000000000000000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000
χ9588888-4-4-48-4-4-4-4-4-4-4-4-4222-4222-4-4-4-4-4222222-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ968888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222422244444222222-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-4-8-4-4-4444444222-4222-4-4444-2-2-2-2-2-2-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-4-4-48-4-4-4444444222422244-4-4-4-2-2-2-2-2-2-1-2-2-211-1222-1-1110000000000000000000000000000000000000000000000000000000000
χ998-88i−8i08-4-40-8448i−8i−4i4i−4i4i-42-404-2400000−4i4i−4i4i2i−2i200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1008-88i−8i0-48-404-84−4i4i8i−8i−4i4i2-4-40-24400000−4i4i2i−2i−4i4i200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1018-88i−8i0-4-48044-8−4i4i−4i4i8i−8i-4-42044-2000002i−2i−4i4i−4i4i200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220-2-2-2000002i−2i2i−2i2i−2i-1000−3i33i3100033−33−ii0000000000000000000000000000000000000000000000000000000000
χ1038-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220-2-2-2000002i−2i2i−2i2i−2i-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i08-4-40-844−8i8i4i−4i4i−4i-42-404-24000004i−4i4i−4i−2i2i200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i0-48-404-844i−4i−8i8i4i−4i2-4-40-244000004i−4i−2i2i4i−4i200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i0-4-48044-84i−4i4i−4i−8i8i-4-42044-200000−2i2i4i−4i4i−4i200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1078-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220-2-2-200000−2i2i−2i2i−2i2i-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220-2-2-200000−2i2i−2i2i−2i2i-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000

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