Finite Group Databasebeta

← Group #11794548

Character table — Group #11794548

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-21111-1-1-1-10000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-222-1-1-1-111110000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-22-2-2-22222-2-222-2-222-22-2-22-2-2-22222-2-2-2-22000022-2-22-2-222-2-200000000000000002222-2-2-2-200000000000000000000000000000000000000000000000000002-200
χ28222-22-2-2-22222-2-222-2-222-22-2-22-2-2-22222-2-2-2-22000022-2-22-2-222-2-200000000000000002222-2-2-2-20000000000000000000000000000000000000000000000000000-2200
χ29222-22-2-2-222-2-22222-2-222-22-2-22-2-2-2-2-2-2-222222000022-2-22-2-2-2-2220000000000000000-2-2-2-222220000000000000000000000000000000000000000000000000000002i−2i
χ30222-22-2-2-222-2-22222-2-222-22-2-22-2-2-2-2-2-2-222222000022-2-22-2-2-2-2220000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000000000−2i2i
χ3122-22-2-22-22200002-22-22-22-22-2-2-2-220000000022i−2i002-22-2-22-200002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i0000000022−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ3222-22-2-22-22200002-22-22-22-22-2-2-2-220000000022i−2i002-22-2-22-200002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i00000000−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ3322-22-2-22-22200002-22-22-22-22-2-2-2-22000000002−2i2i002-22-2-22-20000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i0000000022−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3422-22-2-22-22200002-22-22-22-22-2-2-2-22000000002−2i2i002-22-2-22-20000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ3522-22-2-22-2-120000-11-112-221-11-2-2-2233−3−33−33−3-12i−2i00-11-111-110000−i−iii2i2i−2i−2i−i3−i3i3i3000033−3−333−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i322−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ3622-22-2-22-2-120000-11-112-221-11-2-2-2233−3−33−33−3-12i−2i00-11-111-110000−i−iii2i2i−2i−2i−i3−i3i3i3000033−3−333−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ3722-22-2-22-2-120000-11-112-221-11-2-2-2233−3−33−33−3-1−2i2i00-11-111-110000ii−i−i−2i−2i2i2ii3i3−i3−i3000033−3−333−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i322−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ3822-22-2-22-2-120000-11-112-221-11-2-2-2233−3−33−33−3-1−2i2i00-11-111-110000ii−i−i−2i−2i2i2ii3i3−i3−i3000033−3−333−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ3922-22-2-22-2-120000-11-112-221-11-2-2-22−3−333−33−33-12i−2i00-11-111-110000−i−iii2i2i−2i−2ii3i3−i3−i30000−3−333−3−333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i322−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ4022-22-2-22-2-120000-11-112-221-11-2-2-22−3−333−33−33-12i−2i00-11-111-110000−i−iii2i2i−2i−2ii3i3−i3−i30000−3−333−3−333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ4122-22-2-22-2-120000-11-112-221-11-2-2-22−3−333−33−33-1−2i2i00-11-111-110000ii−i−i−2i−2i2i2i−i3−i3i3i30000−3−333−3−333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i322−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ4222-22-2-22-2-120000-11-112-221-11-2-2-22−3−333−33−33-1−2i2i00-11-111-110000ii−i−i−2i−2i2i2i−i3−i3i3i30000−3−333−3−333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ432-22-2-2-222220000-22-22-22-2-22-2-2-222000000002002-2-22-22-22-20000000000002-22-222-2-2000000000000000022-2-222-2-22−22−22−22−22−22−22−22−22−22−22−22−20000000000000000
χ442-22-2-2-222220000-22-22-22-2-22-2-2-222000000002002-2-22-22-22-20000000000002-22-222-2-2000000000000000022-2-222-2-2−22−22−22−22−22−22−22−22−22−22−22−220000000000000000
χ452-22-2-2-222220000-22-22-22-2-22-2-2-22200000000200-22-22-22-22-2000000000000-22-22-2-2220000000000000000-2-222-2-2222−22−2−22−222−22−22−22−2−22−22−22−220000000000000000
χ462-22-2-2-222220000-22-22-22-2-22-2-2-22200000000200-22-22-22-22-2000000000000-22-22-2-2220000000000000000-2-222-2-222−22−222−22−2−22−22−22−222−22−22−22−20000000000000000
χ472-22-2-2-222-1200001-11-1-22-21-11-2-2223−33−33−3−33-1002-21-11-11-1100003−33−30000-11-1122-2-23−33−33−33−333−3−333−3−3-1-111-1-1112−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ482-22-2-2-222-1200001-11-1-22-21-11-2-2223−33−33−3−33-1002-21-11-11-1100003−33−30000-11-1122-2-23−33−33−33−333−3−333−3−3-1-111-1-111−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ492-22-2-2-222-1200001-11-1-22-21-11-2-2223−33−33−3−33-100-221-11-11-110000−33−3300001-11-1-2-2223−33−33−33−3−3−333−3−33311-1-111-1-12−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ502-22-2-2-222-1200001-11-1-22-21-11-2-2223−33−33−3−33-100-221-11-11-110000−33−3300001-11-1-2-2223−33−33−33−3−3−333−3−33311-1-111-1-1−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ512-22-2-2-222-1200001-11-1-22-21-11-2-222−33−33−333−3-1002-21-11-11-110000−33−330000-11-1122-2-2−33−33−33−33−3−333−3−333-1-111-1-1112−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ522-22-2-2-222-1200001-11-1-22-21-11-2-222−33−33−333−3-1002-21-11-11-110000−33−330000-11-1122-2-2−33−33−33−33−3−333−3−333-1-111-1-111−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ532-22-2-2-222-1200001-11-1-22-21-11-2-222−33−33−333−3-100-221-11-11-1100003−33−300001-11-1-2-222−33−33−33−3333−3−333−3−311-1-111-1-12−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ542-22-2-2-222-1200001-11-1-22-21-11-2-222−33−33−333−3-100-221-11-11-1100003−33−300001-11-1-2-222−33−33−33−3333−3−333−3−311-1-111-1-1−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ552-2-222-2-22222-22-2-2-222-2-222-2-22-22-2-222-222-2-220000-2-2222-2-22-22-20000000000000000-222-22-2-2200000000000000000000000000000000000000002i−2i0000002i−2i2i−2i0000
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χ652-2-222-2-222-1-22-22-2-22211-12-2-2-11-112-2-22-2-222-1000011-1-1-1111-11-10000−33−3300003−33−3-111-11-1-11−33−33−33−333−33−33−33−3000000000000000000000000002-2-11-11−333−30000
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χ742-2-2-2222-2-122-2-221111-2-2-2-1-1-122-221-1-1111-1-1-100001111-1-1-12-2-22i3−i3−i3i30000−i3i3i3−i300001-1-111-1-11i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-222-200001-1-111-1-11i3−i3−i3i3−i3i3i3−i30000000000000000
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χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000000000000000
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χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221-4-4441111111222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000
χ83444-44-4-4-44-244-4-444-4-4-2-224-4-4-22224444-4-4-4-4-20000-2-222-222-2-2220000000000000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
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χ85444-44-4-4-4-2444-4-4-2-22244-4-2224-4-4-4-2-2-2-22222-20000-2-222-22244-4-40000000000000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
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χ88444-44-4-4-4-2-244-4-4-2-222-2-22-222-2222-2-2-2-222221000011-1-11-1-1-2-22200000000000000001111-1-1-1-1−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ89444-44-4-4-4-2-2-4-444-2-222-2-22-222-22222222-2-2-2-21000011-1-11-1-122-2-20000000000000000-1-1-1-111113i−3i−3i3i−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
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χ9344-44-4-44-4-2-20000-22-22-22-22-22222-22323−23−2323−2323−2314i−4i001-11-1-11-10000−2i−2i2i2i−2i−2i2i2i−2i3−2i32i32i30000−3−333−3−333iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000000000
χ9444-44-4-44-4-2-20000-22-22-22-22-22222-22323−23−2323−2323−231−4i4i001-11-1-11-100002i2i−2i−2i2i2i−2i−2i2i32i3−2i3−2i30000−3−333−3−333−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000000000
χ9544-44-4-44-4-2-20000-22-22-22-22-22222-2−23−232323−2323−232314i−4i001-11-1-11-10000−2i−2i2i2i−2i−2i2i2i2i32i3−2i3−2i3000033−3−333−3−3iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000000000
χ9644-44-4-44-4-2-20000-22-22-22-22-22222-2−23−232323−2323−23231−4i4i001-11-1-11-100002i2i−2i−2i2i2i−2i−2i−2i3−2i32i32i3000033−3−333−3−3−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000000000
χ9744-4-4-44-444400004-4-444-4-4-4-44-444-400000000400004-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ10244-4-4-44-44-2-20000-222-2-22222-22-2-222323−23−23−2323−2323100001-1-11-1-11000000000000000023−23−2323−3−33333−3−3-333-3-333-3−333−3−333−30000000000000000000000000000000000000000
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χ10444-4-4-44-44-2-20000-222-2-22222-22-2-22−23−23232323−2323−23100001-1-11-1-11000000000000000023−23−232333−3−3−3−3333-3-333-3-33−333−3−333−30000000000000000000000000000000000000000
χ10544-4-4-44-44-2-20000-222-2-22222-22-2-22−23−23232323−2323−23100001-1-11-1-110000000000000000−232323−2333−3−3−3−333-333-3-333-33−3−333−3−330000000000000000000000000000000000000000
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χ1094-444-44-4-4-2400002-2-22-44422-2-44-4-423−2323−23−232323−23-200002-2-2222-20000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1104-444-44-4-4-2400002-2-22-44422-2-44-4-4−2323−232323−23−2323-200002-2-2222-200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1114-444-44-4-4-2-200002-2-222-2-222-22-22223−2323−23−232323−2310000-111-1-1-1100000000−2i32i32i3−2i300000000−33−333−33−3i3−i3i3−i3−i3i3−i3i3−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1124-444-44-4-4-2-200002-2-222-2-222-22-22223−2323−23−232323−2310000-111-1-1-11000000002i3−2i3−2i32i300000000−33−333−33−3−i3i3−i3i3i3−i3i3−i33i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ1134-444-44-4-4-2-200002-2-222-2-222-22-222−2323−232323−23−232310000-111-1-1-1100000000−2i32i32i3−2i3000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i33i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ1144-444-44-4-4-2-200002-2-222-2-222-22-222−2323−232323−23−232310000-111-1-1-11000000002i3−2i3−2i32i3000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i3−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1154-44-4-4-4444-20000-44-442-22-44-422-2-200000000-2004-42-22-22-220000000000004-44-4-2-2220000000000000000-2-222-2-2220000000000000000000000000000000000000000
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χ1174-44-4-4-444-2-200002-22-22-222-2222-2-223−2323−2323−23−23231004-4-11-11-11-1000023−2323−230000-22-22-2-222−33−33−33−33−3−333−3−33311-1-111-1-10000000000000000000000000000000000000000
χ1184-44-4-4-444-2-200002-22-22-222-2222-2-223−2323−2323−23−2323100-44-11-11-11-10000−2323−232300002-22-222-2-2−33−33−33−3333−3−333−3−3-1-111-1-1110000000000000000000000000000000000000000
χ1194-44-4-4-444-2-200002-22-22-222-2222-2-2−2323−2323−232323−231004-4-11-11-11-10000−2323−23230000-22-22-2-2223−33−33−33−333−3−333−3−311-1-111-1-10000000000000000000000000000000000000000
χ1204-44-4-4-444-2-200002-22-22-222-2222-2-2−2323−2323−232323−23100-44-11-11-11-1000023−2323−2300002-22-222-2-23−33−33−33−3−3−333−3−333-1-111-1-1110000000000000000000000000000000000000000
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χ1224-4-444-4-44-24-44-4422-2-2-4-44-2224-44-4-222-222-2-2-2000022-2-2-222-44-440000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-44-2-24-44-422-2-222-2-222-22-222-2-22-2-22210000-1-1111-1-1-22-22000023−2323−23000023−2323−23-111-11-1-11−33−33−33−33−33−33−33−330000000000000000000000000000000000000000
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χ1294-4-4-4444-4-2-24-4-442222222-2-2-2-2-22-22-2-2222-2-210000-1-1-1-1111-222-2−2i32i32i3−2i300002i3−2i3−2i32i30000-111-1-111-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ1304-4-4-4444-4-2-24-4-442222222-2-2-2-2-22-22-2-2222-2-210000-1-1-1-1111-222-22i3−2i3−2i32i30000−2i32i32i3−2i30000-111-1-111-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ1314-4-4-4444-4-2-2-444-42222222-2-2-2-2-22-2-222-2-2-22210000-1-1-1-11112-2-22−2i32i32i3−2i30000−2i32i32i3−2i300001-1-111-1-11i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ1324-4-4-4444-4-2-2-444-42222222-2-2-2-2-22-2-222-2-2-22210000-1-1-1-11112-2-222i3−2i3−2i32i300002i3−2i3−2i32i300001-1-111-1-11−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000

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