Finite Group Databasebeta

← Group #11795154

Character table — Group #11795154

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212124444
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
χ272222-2-2-2-2222-22-222-2-222-22-2-22-2-2-222-2-222-2-22000022-2-22-2-222-2-200000000000000002222-2-2-2-20000000000000000000022-2-20000000022-2-222-2-20000000000000000
χ282222-2-2-2-2222-22-222-2-222-22-2-22-2-2-222-2-222-2-22000022-2-22-2-222-2-200000000000000002222-2-2-2-200000000000000000000-2-22200000000-2-222-2-2220000000000000000
χ292222-2-2-2-222-22-2222-2-222-22-2-22-2-2-2-2-222-2-2222000022-2-22-2-2-2-2220000000000000000-2-2-2-22222000000000000000022-2-2000022-2-222-2-2000000000000000000000000
χ302222-2-2-2-222-22-2222-2-222-22-2-22-2-2-2-2-222-2-2222000022-2-22-2-2-2-2220000000000000000-2-2-2-222220000000000000000-2-2220000-2-222-2-222000000000000000000000000
χ312222-2-2-2-2-122-22-2-1-11122-2-1112-2-2-2-1-111-1-111-10000-1-111-11122-2-233−3−3000033−3−30000-1-1-1-111113333−3−3−3−33333−3−3−3−3000022-2-233−3−3−3−333-1-111-1-1110000000000000000
χ322222-2-2-2-2-122-22-2-1-11122-2-1112-2-2-2-1-111-1-111-10000-1-111-11122-2-233−3−3000033−3−30000-1-1-1-111113333−3−3−3−33333−3−3−3−30000-2-222−3−33333−3−311-1-111-1-10000000000000000
χ332222-2-2-2-2-122-22-2-1-11122-2-1112-2-2-2-1-111-1-111-10000-1-111-11122-2-2−3−3330000−3−3330000-1-1-1-11111−3−3−3−33333−3−3−3−33333000022-2-2−3−33333−3−3-1-111-1-1110000000000000000
χ342222-2-2-2-2-122-22-2-1-11122-2-1112-2-2-2-1-111-1-111-10000-1-111-11122-2-2−3−3330000−3−3330000-1-1-1-11111−3−3−3−33333−3−3−3−333330000-2-22233−3−3−3−33311-1-111-1-10000000000000000
χ352222-2-2-2-2-12-22-22-1-11122-2-1112-2-2-211-1-111-1-1-10000-1-111-111-2-22233−3−30000−3−33300001111-1-1-1-13333−3−3−3−3−3−3−3−3333322-2-20000-1-111-1-111−3−33333−3−30000000000000000
χ362222-2-2-2-2-12-22-22-1-11122-2-1112-2-2-211-1-111-1-1-10000-1-111-111-2-22233−3−30000−3−33300001111-1-1-1-13333−3−3−3−3−3−3−3−33333-2-222000011-1-111-1-133−3−3−3−3330000000000000000
χ372222-2-2-2-2-12-22-22-1-11122-2-1112-2-2-211-1-111-1-1-10000-1-111-111-2-222−3−333000033−3−300001111-1-1-1-1−3−3−3−333333333−3−3−3−322-2-20000-1-111-1-11133−3−3−3−3330000000000000000
χ382222-2-2-2-2-12-22-22-1-11122-2-1112-2-2-211-1-111-1-1-10000-1-111-111-2-222−3−333000033−3−300001111-1-1-1-1−3−3−3−333333333−3−3−3−3-2-222000011-1-111-1-1−3−33333−3−30000000000000000
χ3922-2-22-2-222200002-22-22-2-2-22-2-222-2000000002002i−2i2-22-2-22-20000000000002i−2i2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4022-2-22-2-222200002-22-22-2-2-22-2-222-2000000002002i−2i2-22-2-22-20000000000002i−2i2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ4122-2-22-2-222200002-22-22-2-2-22-2-222-200000000200−2i2i2-22-2-22-2000000000000−2i2i−2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i2−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4222-2-22-2-222200002-22-22-2-2-22-2-222-200000000200−2i2i2-22-2-22-2000000000000−2i2i−2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ4322-2-22-2-22-120000-11-112-2-21-11-222-23−33−33−33−3-1002i−2i-11-111-110000−i3i3−i3i30000−ii−ii2i2i−2i−2i33−3−333−3−3−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii2−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ4422-2-22-2-22-120000-11-112-2-21-11-222-23−33−33−33−3-1002i−2i-11-111-110000−i3i3−i3i30000−ii−ii2i2i−2i−2i33−3−333−3−3−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ4522-2-22-2-22-120000-11-112-2-21-11-222-23−33−33−33−3-100−2i2i-11-111-110000i3−i3i3−i30000i−ii−i−2i−2i2i2i33−3−333−3−3i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i2−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ4622-2-22-2-22-120000-11-112-2-21-11-222-23−33−33−33−3-100−2i2i-11-111-110000i3−i3i3−i30000i−ii−i−2i−2i2i2i33−3−333−3−3i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ4722-2-22-2-22-120000-11-112-2-21-11-222-2−33−33−33−33-1002i−2i-11-111-110000i3−i3i3−i30000−ii−ii2i2i−2i−2i−3−333−3−333i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii2−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ4822-2-22-2-22-120000-11-112-2-21-11-222-2−33−33−33−33-1002i−2i-11-111-110000i3−i3i3−i30000−ii−ii2i2i−2i−2i−3−333−3−333i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ4922-2-22-2-22-120000-11-112-2-21-11-222-2−33−33−33−33-100−2i2i-11-111-110000−i3i3−i3i30000i−ii−i−2i−2i2i2i−3−333−3−333−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i2−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ5022-2-22-2-22-120000-11-112-2-21-11-222-2−33−33−33−33-100−2i2i-11-111-110000−i3i3−i3i30000i−ii−i−2i−2i2i2i−3−333−3−333−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ5122-2-2-222-22200002-2-222-22-2-22-2-2-220000000022i−2i002-2-22-2-2200002i−2i−2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i000000002−2−22i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ5222-2-2-222-22200002-2-222-22-2-22-2-2-220000000022i−2i002-2-22-2-2200002i−2i−2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i00000000−222−2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ5322-2-2-222-22200002-2-222-22-2-22-2-2-22000000002−2i2i002-2-22-2-220000−2i2i2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000002−2−22−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ5422-2-2-222-22200002-2-222-22-2-22-2-2-22000000002−2i2i002-2-22-2-220000−2i2i2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i00000000−222−2i2−i2−i2i2−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ5522-2-2-222-2-120000-111-12-2211-1-2-2-223−3−333−3−33-12i−2i00-111-111-10000−iii−i2i2i−2i−2ii3−i3−i3i3000033−3−3−3−333−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i32−2−22i2−i2−i2i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ5622-2-2-222-2-120000-111-12-2211-1-2-2-223−3−333−3−33-12i−2i00-111-111-10000−iii−i2i2i−2i−2ii3−i3−i3i3000033−3−3−3−333−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3−222−2−i2i2i2−i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ5722-2-2-222-2-120000-111-12-2211-1-2-2-223−3−333−3−33-1−2i2i00-111-111-10000i−i−ii−2i−2i2i2i−i3i3i3−i3000033−3−3−3−333ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i32−2−22−i2i2i2−i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ5822-2-2-222-2-120000-111-12-2211-1-2-2-223−3−333−3−33-1−2i2i00-111-111-10000i−i−ii−2i−2i2i2i−i3i3i3−i3000033−3−3−3−333ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3−222−2i2−i2−i2i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ5922-2-2-222-2-120000-111-12-2211-1-2-2-22−333−3−333−3-12i−2i00-111-111-10000−iii−i2i2i−2i−2i−i3i3i3−i30000−3−33333−3−3−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i32−2−22i2−i2−i2i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ6022-2-2-222-2-120000-111-12-2211-1-2-2-22−333−3−333−3-12i−2i00-111-111-10000−iii−i2i2i−2i−2i−i3i3i3−i30000−3−33333−3−3−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3−222−2−i2i2i2−i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ6122-2-2-222-2-120000-111-12-2211-1-2-2-22−333−3−333−3-1−2i2i00-111-111-10000i−i−ii−2i−2i2i2ii3−i3−i3i30000−3−33333−3−3ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i32−2−22−i2i2i2−i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ6222-2-2-222-2-120000-111-12-2211-1-2-2-22−333−3−333−3-1−2i2i00-111-111-10000i−i−ii−2i−2i2i2ii3−i3−i3i30000−3−33333−3−3ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3−222−2i2−i2−i2i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ632-2-2222-2-2222-2-22-2-2-2-2-2-2-222222-2222-2-2-2-22220000-2-2-2-22222-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000002i−2i
χ642-2-2222-2-2222-2-22-2-2-2-2-2-2-222222-2222-2-2-2-22220000-2-2-2-22222-22-200000000000000002-22-22-22-2000000000000000000000000000000000000000000000000000000−2i2i
χ652-2-2222-2-222-222-2-2-2-2-2-2-2-222222-22-2-22222-2-220000-2-2-2-2222-22-220000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000002i−2i00
χ662-2-2222-2-222-222-2-2-2-2-2-2-2-222222-22-2-22222-2-220000-2-2-2-2222-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000000000000000−2i2i00
χ672-2-22-2-2222222-2-2-2-222-2-222-2-22-22-22222-2-2-2-220000-2-2222-2-22-2-2200000000000000002-22-2-22-2200000000000000000000000000000000000000002i−2i0000002i−2i2i−2i0000
χ682-2-22-2-2222222-2-2-2-222-2-222-2-22-22-22222-2-2-2-220000-2-2222-2-22-2-2200000000000000002-22-2-22-220000000000000000000000000000000000000000−2i2i000000−2i2i−2i2i0000
χ692-2-22-2-22222-2-222-2-222-2-222-2-22-22-2-2-2-2-2222220000-2-2222-2-2-222-20000000000000000-22-222-22-20000000000000000000000000000000000000000002-22-22-200000000
χ702-2-22-2-22222-2-222-2-222-2-222-2-22-22-2-2-2-2-2222220000-2-2222-2-2-222-20000000000000000-22-222-22-2000000000000000000000000000000000000000000-22-22-2200000000
χ712-2-22-2-2222-122-2-2-2-22211-12-2-2-11-112222-2-2-2-2-1000011-1-1-111-111-100003−33−300003−33−3-11-111-11-13−33−33−33−33−33−33−33−30000000000000000000000002i−2i00−i3i3i3−i3−ii−ii0000
χ722-2-22-2-2222-122-2-2-2-22211-12-2-2-11-112222-2-2-2-2-1000011-1-1-111-111-100003−33−300003−33−3-11-111-11-13−33−33−33−33−33−33−33−3000000000000000000000000−2i2i00i3−i3−i3i3i−ii−i0000
χ732-2-22-2-2222-122-2-2-2-22211-12-2-2-11-112222-2-2-2-2-1000011-1-1-111-111-10000−33−330000−33−33-11-111-11-1−33−33−33−33−33−33−33−330000000000000000000000002i−2i00i3−i3−i3i3−ii−ii0000
χ742-2-22-2-2222-122-2-2-2-22211-12-2-2-11-112222-2-2-2-2-1000011-1-1-111-111-10000−33−330000−33−33-11-111-11-1−33−33−33−33−33−33−33−33000000000000000000000000−2i2i00−i3i3i3−i3i−ii−i0000
χ752-2-22-2-2222-1-2-222-2-22211-12-2-2-11-11-2-2-2-22222-1000011-1-1-1111-1-1100003−33−30000−33−331-11-1-11-113−33−33−33−3−33−33−33−33000000000000000000000000002-2-11-113−3−330000
χ762-2-22-2-2222-1-2-222-2-22211-12-2-2-11-11-2-2-2-22222-1000011-1-1-1111-1-1100003−33−30000−33−331-11-1-11-113−33−33−33−3−33−33−33−3300000000000000000000000000-221-11-1−333−30000
χ772-2-22-2-2222-1-2-222-2-22211-12-2-2-11-11-2-2-2-22222-1000011-1-1-1111-1-110000−33−3300003−33−31-11-1-11-11−33−33−33−333−33−33−33−3000000000000000000000000002-2-11-11−333−30000
χ782-2-22-2-2222-1-2-222-2-22211-12-2-2-11-11-2-2-2-22222-1000011-1-1-1111-1-110000−33−3300003−33−31-11-1-11-11−33−33−33−333−33−33−33−300000000000000000000000000-221-11-13−3−330000
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
χ8044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-2222222222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222144-4-411111112222-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
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
χ834444-4-4-4-44-24-44-444-4-4-2-224-4-4-222244-4-444-4-4-20000-2-222-222-2-2220000000000000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ844444-4-4-4-44-2-44-4444-4-4-2-224-4-4-2222-4-444-4-444-20000-2-222-22222-2-200000000000000002222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ854444-4-4-4-4-2-24-44-4-2-222-2-22-222-2222-2-222-2-2221000011-1-11-1-1-2-2222323−23−2300002323−23−2300001111-1-1-1-1−3−3−3−33333−3−3−3−333330000000000000000000000000000000000000000
χ864444-4-4-4-4-2-24-44-4-2-222-2-22-222-2222-2-222-2-2221000011-1-11-1-1-2-222−23−2323230000−23−23232300001111-1-1-1-13333−3−3−3−33333−3−3−3−30000000000000000000000000000000000000000
χ874444-4-4-4-4-2-2-44-44-2-222-2-22-222-222222-2-222-2-21000011-1-11-1-122-2-22323−23−230000−23−2323230000-1-1-1-11111−3−3−3−333333333−3−3−3−30000000000000000000000000000000000000000
χ884444-4-4-4-4-2-2-44-44-2-222-2-22-222-222222-2-222-2-21000011-1-11-1-122-2-2−23−23232300002323−23−230000-1-1-1-111113333−3−3−3−3−3−3−3−333330000000000000000000000000000000000000000
χ8944-4-44-4-444-200004-44-4-222-44-42-2-2200000000-2004i−4i-22-222-220000000000004i−4i4i−4i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ9044-4-44-4-444-200004-44-4-222-44-42-2-2200000000-200−4i4i-22-222-22000000000000−4i4i−4i4i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ9144-4-44-4-44-2-20000-22-22-2222-222-2-2223−2323−2323−2323−231004i−4i1-11-1-11-10000−2i32i3−2i32i30000−2i2i−2i2i−2i−2i2i2i−3−333−3−333i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000000000000000000000000000
χ9244-4-44-4-44-2-20000-22-22-2222-222-2-2223−2323−2323−2323−23100−4i4i1-11-1-11-100002i3−2i32i3−2i300002i−2i2i−2i2i2i−2i−2i−3−333−3−333−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000000000000000000000000000
χ9344-4-44-4-44-2-20000-22-22-2222-222-2-22−2323−2323−2323−23231004i−4i1-11-1-11-100002i3−2i32i3−2i30000−2i2i−2i2i−2i−2i2i2i33−3−333−3−3−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000000000000000000000000000
χ9444-4-44-4-44-2-20000-22-22-2222-222-2-22−2323−2323−2323−2323100−4i4i1-11-1-11-10000−2i32i3−2i32i300002i−2i2i−2i2i2i−2i−2i33−3−333−3−3i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000000000000000000000000000
χ9544-4-4-444-44-200004-4-44-22-2-4-44222-200000000-24i−4i00-222-222-200004i−4i−4i4i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ9644-4-4-444-44-200004-4-44-22-2-4-44222-200000000-2−4i4i00-222-222-20000−4i4i4i−4i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ9744-4-4-444-4-2-20000-222-2-22-222-2222-223−23−232323−23−232314i−4i001-1-11-1-110000−2i2i2i−2i−2i−2i2i2i2i3−2i3−2i32i30000−3−33333−3−3ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ9844-4-4-444-4-2-20000-222-2-22-222-2222-223−23−232323−23−23231−4i4i001-1-11-1-1100002i−2i−2i2i2i2i−2i−2i−2i32i32i3−2i30000−3−33333−3−3−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ9944-4-4-444-4-2-20000-222-2-22-222-2222-2−232323−23−232323−2314i−4i001-1-11-1-110000−2i2i2i−2i−2i−2i2i2i−2i32i32i3−2i3000033−3−3−3−333ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ10044-4-4-444-4-2-20000-222-2-22-222-2222-2−232323−23−232323−231−4i4i001-1-11-1-1100002i−2i−2i2i2i2i−2i−2i2i3−2i3−2i32i3000033−3−3−3−333−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ1014-44-44-44-4440000-44-44-444-44-4-44-4-40000000040000-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-44-44-44-20000-44-442-2-2-44-42-22200000000-200002-22-22-2200000000−2i32i32i3−2i30000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1034-44-44-44-44-20000-44-442-2-2-44-42-22200000000-200002-22-22-22000000002i3−2i3−2i32i300000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1044-44-44-44-4-2400002-22-2-4442-22-44-4-423−23−2323−232323−23-200002-22-22-220000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000000000
χ1054-44-44-44-4-2400002-22-2-4442-22-44-4-4−232323−2323−23−2323-200002-22-22-2200000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000000000
χ1064-44-44-44-4-2-200002-22-22-2-22-222-22223−23−2323−232323−2310000-11-11-11-100000000−2i32i32i3−2i300000000−333−3−333−3i3−i3−i3i3−i3i3i3−i3−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1074-44-44-44-4-2-200002-22-22-2-22-222-22223−23−2323−232323−2310000-11-11-11-1000000002i3−2i3−2i32i300000000−333−3−333−3−i3i3i3−i3i3−i3−i3i33i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1084-44-44-44-4-2-200002-22-22-2-22-222-222−232323−2323−23−232310000-11-11-11-100000000−2i32i32i3−2i3000000003−3−333−3−33i3−i3−i3i3−i3i3i3−i33i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1094-44-44-44-4-2-200002-22-22-2-22-222-222−232323−2323−23−232310000-11-11-11-1000000002i3−2i3−2i32i3000000003−3−333−3−33−i3i3i3−i3i3−i3−i3i3−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1104-44-4-44-44440000-444-4-44-4-4-44-4-4440000000040000-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-4-44-444-20000-444-42-22-4-4422-2-200000000-200002-2-2222-20000000000000000−2i32i32i3−2i30000000000000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000
χ1124-44-4-44-444-20000-444-42-22-4-4422-2-200000000-200002-2-2222-200000000000000002i3−2i3−2i32i300000000000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000
χ1134-44-4-44-44-2400002-2-22-44-422-2-4-44423−2323−23−2323−2323-200002-2-2222-20000000000000000000023−23−2323−232323−2300000000000000000000000000000000000000000000000000000000
χ1144-44-4-44-44-2400002-2-22-44-422-2-4-444−2323−232323−2323−23-200002-2-2222-200000000000000000000−232323−2323−23−232300000000000000000000000000000000000000000000000000000000
χ1154-44-4-44-44-2-200002-2-222-2222-222-2-223−2323−23−2323−232310000-111-1-1-110000000000000000−2i32i32i3−2i3−333−33−3−333i−3i−3i3i3i−3i−3i3ii3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1164-44-4-44-44-2-200002-2-222-2222-222-2-223−2323−23−2323−232310000-111-1-1-1100000000000000002i3−2i3−2i32i3−333−33−3−33−3i3i3i−3i−3i3i3i−3i−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ1174-44-4-44-44-2-200002-2-222-2222-222-2-2−2323−232323−2323−2310000-111-1-1-110000000000000000−2i32i32i3−2i33−3−33−333−3−3i3i3i−3i−3i3i3i−3ii3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1184-44-4-44-44-2-200002-2-222-2222-222-2-2−2323−232323−2323−2310000-111-1-1-1100000000000000002i3−2i3−2i32i33−3−33−333−33i−3i−3i3i3i−3i−3i3i−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ1194-4-4444-4-44-24-4-44-4-4-4-4222444-2-22-244-4-4-4-444-200002222-2-2-2-22-220000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1204-4-4444-4-44-2-444-4-4-4-4-4222444-2-22-2-4-44444-4-4-200002222-2-2-22-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1214-4-4444-4-4-244-4-442222-4-4-4-2-2-244-44-2-22222-2-2-200002222-2-2-24-44-40000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1224-4-4444-4-4-24-444-42222-4-4-4-2-2-244-4422-2-2-2-222-200002222-2-2-2-44-4400000000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1234-4-4444-4-4-2-24-4-442222222-2-2-2-2-22-2-2-22222-2-210000-1-1-1-1111-22-2200000000000000001-11-11-11-13-33-3-33-333-33-3-33-330000000000000000000000000000000000000000
χ1244-4-4444-4-4-2-24-4-442222222-2-2-2-2-22-2-2-22222-2-210000-1-1-1-1111-22-2200000000000000001-11-11-11-1-33-333-33-3-33-333-33-30000000000000000000000000000000000000000
χ1254-4-4444-4-4-2-2-444-42222222-2-2-2-2-22-222-2-2-2-22210000-1-1-1-11112-22-20000000000000000-11-11-11-113-33-3-33-33-33-333-33-30000000000000000000000000000000000000000
χ1264-4-4444-4-4-2-2-444-42222222-2-2-2-2-22-222-2-2-2-22210000-1-1-1-11112-22-20000000000000000-11-11-11-11-33-333-33-33-33-3-33-330000000000000000000000000000000000000000
χ1274-4-44-4-444-2444-4-422-2-2-4-44-2224-44-4-2-2-2-22222-2000022-2-2-2224-4-440000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1284-4-44-4-444-24-4-44422-2-2-4-44-2224-44-42222-2-2-2-2-2000022-2-2-222-444-400000000000000002-22-2-22-2200000000000000000000000000000000000000000000000000000000
χ1294-4-44-4-444-2-244-4-422-2-222-2-222-22-22-2-2-2-2222210000-1-1111-1-1-222-2000023−2323−23000023−2323−231-11-1-11-11−33−33−33−33−33−33−33−330000000000000000000000000000000000000000
χ1304-4-44-4-444-2-244-4-422-2-222-2-222-22-22-2-2-2-2222210000-1-1111-1-1-222-20000−2323−23230000−2323−23231-11-1-11-113−33−33−33−33−33−33−33−30000000000000000000000000000000000000000
χ1314-4-44-4-444-2-2-4-44422-2-222-2-222-22-222222-2-2-2-210000-1-1111-1-12-2-22000023−2323−230000−2323−2323-11-111-11-1−33−33−33−333−33−33−33−30000000000000000000000000000000000000000
χ1324-4-44-4-444-2-2-4-44422-2-222-2-222-22-222222-2-2-2-210000-1-1111-1-12-2-220000−2323−2323000023−2323−23-11-111-11-13−33−33−33−3−33−33−33−330000000000000000000000000000000000000000

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