Finite Group Databasebeta

← Group #11899570

Character table — Group #11899570

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222222222224444444444444444444444444444466121212121212121212121224244848727211222222222222244444444444444444444444444444661212121212121212121212242448487272
order123346688121224242424361212121616242424242424484848484848484848484848484848482468121616242448484848226624226646688121224242424661212121616242424242424484848484848484848484848484848482468121616242448484848226624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-11-11-111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-11-11-1
χ611111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11-11-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11-11-11
χ711111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-11
χ811111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1
χ92222222-2-222-2-2-2-22222200-2-2-2-2-2-20000000000000000222-2200-2-200000000002222222-2-222-2-2-2-22222200-2-2-2-2-2-20000000000000000222-2200-2-20000000000
χ102222222-2-222-2-2-2-22222200-2-2-2-2-2-20000000000000000-2-2-22-2002200000000002222222-2-222-2-2-2-22222200-2-2-2-2-2-20000000000000000-2-2-22-200220000000000
χ112222-22200-2-2000022-2-2-22−200000022−2−2222222−2−2−2−2−2−22-220-22−20022−2−20000002222-22200-2-2000022-2-2-22−200000022−2−2222222−2−2−2−2−2−22-220-22−20022−2−2000000
χ122222-22200-2-2000022-2-2-22−200000022−2−2222222−2−2−2−2−2−2-22-202−2200−2−2220000002222-22200-2-2000022-2-2-22−200000022−2−2222222−2−2−2−2−2−2-22-202−2200−2−222000000
χ132222-22200-2-2000022-2-2-2−22000000−2−222−2−2−2−2−2−22222222-220-2−2200−2−2220000002222-22200-2-2000022-2-2-2−22000000−2−222−2−2−2−2−2−22222222-220-2−2200−2−222000000
χ142222-22200-2-2000022-2-2-2−22000000−2−222−2−2−2−2−2−2222222-22-2022−20022−2−20000002222-22200-2-2000022-2-2-2−22000000−2−222−2−2−2−2−2−2222222-22-2022−20022−2−2000000
χ15222-12-1222222222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000022-1-100222-12-1222222222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000022-1-100
χ16222-12-1222222222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-21100222-12-1222222222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-21100
χ17222-12-1222222222-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100000000000002-2-1100222-12-1222222222-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100000000000002-2-1100
χ18222-12-1222222222-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000000-221-100222-12-1222222222-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000000-221-100
χ1922-1222-122-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-12-122-1-1-1-1-1-100000022-1222-122-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-12-122-1-1-1-1-1-1000000
χ2022-1222-122-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-21-21-2-211111100000022-1222-122-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-21-21-2-2111111000000
χ2122-1222-122-1-1-1-1-1-1-1-12-1-1-2-222-1-1-1-11111-2-21111-2-2111122-12-1-2-2-1-1111100000022-1222-122-1-1-1-1-1-1-1-12-1-1-2-222-1-1-1-11111-2-21111-2-2111122-12-1-2-2-1-11111000000
χ2222-1222-122-1-1-1-1-1-1-1-12-1-1-2-222-1-1-1-11111-2-21111-2-21111-2-21-212211-1-1-1-100000022-1222-122-1-1-1-1-1-1-1-12-1-1-2-222-1-1-1-11111-2-21111-2-21111-2-21-212211-1-1-1-1000000
χ2322-1222-1-2-2-1-11111-1-12-1-100-2-211113−33−30033−3−30033−3−322-1-2-100113−33−300000022-1222-1-2-2-1-11111-1-12-1-100-2-211113−33−30033−3−30033−3−322-1-2-100113−33−3000000
χ2422-1222-1-2-2-1-11111-1-12-1-100-2-211113−33−30033−3−30033−3−3-2-212100-1-1−33−3300000022-1222-1-2-2-1-11111-1-12-1-100-2-211113−33−30033−3−30033−3−3-2-212100-1-1−33−33000000
χ2522-1222-1-2-2-1-11111-1-12-1-100-2-21111−33−3300−3−33300−3−33322-1-2-10011−33−3300000022-1222-1-2-2-1-11111-1-12-1-100-2-21111−33−3300−3−33300−3−33322-1-2-10011−33−33000000
χ2622-1222-1-2-2-1-11111-1-12-1-100-2-21111−33−3300−3−33300−3−333-2-212100-1-13−33−300000022-1222-1-2-2-1-11111-1-12-1-100-2-21111−33−3300−3−33300−3−333-2-212100-1-13−33−3000000
χ2722-12-22-1001133−3−3-1-1-2112−20033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ462-2-1012−23−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4600000022-12-22-1001133−3−3-1-1-2112−20033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ462-2-1012−23−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000
χ2822-12-22-1001133−3−3-1-1-2112−20033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-2210-1−22−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4600000022-12-22-1001133−3−3-1-1-2112−20033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-2210-1−22−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000
χ2922-12-22-1001133−3−3-1-1-211−220033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ462-2-101−223−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4600000022-12-22-1001133−3−3-1-1-211−220033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ462-2-101−223−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000
χ3022-12-22-1001133−3−3-1-1-211−220033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-2210-12−2−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4600000022-12-22-1001133−3−3-1-1-211−220033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-2210-12−2−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000
χ3122-12-22-10011−3−333-1-1-2112−200−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ142-2-1012−2−33ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1400000022-12-22-10011−3−333-1-1-2112−200−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ142-2-1012−2−33ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000
χ3222-12-22-10011−3−333-1-1-2112−200−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-2210-1−223−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1400000022-12-22-10011−3−333-1-1-2112−200−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-2210-1−223−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000
χ3322-12-22-10011−3−333-1-1-211−2200−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ142-2-101−22−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1400000022-12-22-10011−3−333-1-1-211−2200−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ142-2-101−22−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000
χ3422-12-22-10011−3−333-1-1-211−2200−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-2210-12−23−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1400000022-12-22-10011−3−333-1-1-211−2200−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-2210-12−23−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000
χ35444-24-24-4-444-4-4-4-4-2-2-2-2-20022222200000000000000000000000000000000000444-24-24-4-444-4-4-4-4-2-2-2-2-20022222200000000000000000000000000000000000
χ36444-2-4-2400-4-40000-2-222222−220000002222−22−22−2−2−2−2−2−22222220000000000000000000444-2-4-2400-4-40000-2-222222−220000002222−22−22−2−2−2−2−2−22222220000000000000000000
χ37444-2-4-2400-4-40000-2-2222−2222000000−22−222222222222−2−2−2−2−2−20000000000000000000444-2-4-2400-4-40000-2-2222−2222000000−22−222222222222−2−2−2−2−2−20000000000000000000
χ3844-2-24-2-244-2-2-2-2-2-211-21144-2-21111-2-2-2-2-2-21111-2-21111000000000000000000044-2-24-2-244-2-2-2-2-2-211-21144-2-21111-2-2-2-2-2-21111-2-211110000000000000000000
χ3944-2-24-2-244-2-2-2-2-2-211-211-4-4-2-21111222222-1-1-1-122-1-1-1-1000000000000000000044-2-24-2-244-2-2-2-2-2-211-211-4-4-2-21111222222-1-1-1-122-1-1-1-10000000000000000000
χ4044-2-24-2-2-4-4-2-2222211-2110022-1-1-1-123−2323−2300−3−33300−3−333000000000000000000044-2-24-2-2-4-4-2-2222211-2110022-1-1-1-123−2323−2300−3−33300−3−3330000000000000000000
χ4144-2-24-2-2-4-4-2-2222211-2110022-1-1-1-1−2323−23230033−3−30033−3−3000000000000000000044-2-24-2-2-4-4-2-2222211-2110022-1-1-1-1−2323−23230033−3−30033−3−30000000000000000000
χ4244-2-2-4-2-200222323−23−23112-1-122−2200−3−3332ζ10−2ζ142ζ26−2ζ46−2ζ10+2ζ14−2ζ26+2ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46000000000000000000044-2-2-4-2-200222323−23−23112-1-122−2200−3−3332ζ10−2ζ142ζ26−2ζ46−2ζ10+2ζ14−2ζ26+2ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ460000000000000000000
χ4344-2-2-4-2-200222323−23−23112-1-1−222200−3−333−2ζ10+2ζ14−2ζ26+2ζ462ζ10−2ζ142ζ26−2ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46000000000000000000044-2-2-4-2-200222323−23−23112-1-1−222200−3−333−2ζ10+2ζ14−2ζ26+2ζ462ζ10−2ζ142ζ26−2ζ4622ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ460000000000000000000
χ4444-2-2-4-2-20022−23−232323112-1-122−220033−3−32ζ26−2ζ462ζ10−2ζ14−2ζ26+2ζ46−2ζ10+2ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14000000000000000000044-2-2-4-2-20022−23−232323112-1-122−220033−3−32ζ26−2ζ462ζ10−2ζ14−2ζ26+2ζ46−2ζ10+2ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ140000000000000000000
χ4544-2-2-4-2-20022−23−232323112-1-1−22220033−3−3−2ζ26+2ζ46−2ζ10+2ζ142ζ26−2ζ462ζ10−2ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14000000000000000000044-2-2-4-2-20022−23−232323112-1-1−22220033−3−3−2ζ26+2ζ46−2ζ10+2ζ142ζ26−2ζ462ζ10−2ζ1422ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ140000000000000000000
χ464-4440-4-422−220022−2222−224-40000022−2222−2222−22000000000000000000000000000000000004-4440-4-422−220022−2222−224-40000022−2222−2222−2200000000000000000000000000000000000
χ474-4440-4-4−222200−2222−22224-400000−2222−2222−2222000000000000000000000000000000000004-4440-4-4−222200−2222−22224-400000−2222−2222−222200000000000000000000000000000000000
χ484-44-202-422−220022−2222−22-2200000−22−22−220000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000000000000004-44-202-422−220022−2222−22-2200000−22−22−220000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000
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χ1234-4-2-2022−222223−23−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ461-10−33002−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ460000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25−2ζ31−2ζ41−ζ47ζ25+2ζ31+2ζ41+ζ472ζ25+ζ31+ζ41+2ζ47−2ζ25−ζ31−ζ41−2ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13+2ζ29+2ζ43−ζ11−ζ13−2ζ29−2ζ43−2ζ11−2ζ13−ζ29−ζ432ζ11+2ζ13+ζ29+ζ430000000000000000000-44220-2-222−22−23232ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46-1103−300−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ460000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25+2ζ31+2ζ41+ζ47−ζ25−2ζ31−2ζ41−ζ47−2ζ25−ζ31−ζ41−2ζ472ζ25+ζ31+ζ41+2ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13−2ζ29−2ζ43ζ11+ζ13+2ζ29+2ζ432ζ11+2ζ13+ζ29+ζ43−2ζ11−2ζ13−ζ29−ζ430000000000000000000
χ1244-4-2-2022−222223−23−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ461-10−33002−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ460000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25+2ζ31+2ζ41+ζ47−ζ25−2ζ31−2ζ41−ζ47−2ζ25−ζ31−ζ41−2ζ472ζ25+ζ31+ζ41+2ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13−2ζ29−2ζ43ζ11+ζ13+2ζ29+2ζ432ζ11+2ζ13+ζ29+ζ43−2ζ11−2ζ13−ζ29−ζ430000000000000000000-44220-2-222−22−23232ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46-1103−300−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ460000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25−2ζ31−2ζ41−ζ47ζ25+2ζ31+2ζ41+ζ472ζ25+ζ31+ζ41+2ζ47−2ζ25−ζ31−ζ41−2ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13+2ζ29+2ζ43−ζ11−ζ13−2ζ29−2ζ43−2ζ11−2ζ13−ζ29−ζ432ζ11+2ζ13+ζ29+ζ430000000000000000000
χ1254-4-2-2022−2222−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ141-103−3002−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ140000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ472ζ25+ζ31+ζ41+2ζ47−2ζ25−ζ31−ζ41−2ζ47−ζ25−2ζ31−2ζ41−ζ47ζ25+2ζ31+2ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−2ζ11−2ζ13−ζ29−ζ432ζ11+2ζ13+ζ29+ζ43ζ11+ζ13+2ζ29+2ζ43−ζ11−ζ13−2ζ29−2ζ430000000000000000000-44220-2-222−2223−232ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14-110−3300−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ140000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−2ζ25−ζ31−ζ41−2ζ472ζ25+ζ31+ζ41+2ζ47ζ25+2ζ31+2ζ41+ζ47−ζ25−2ζ31−2ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ432ζ11+2ζ13+ζ29+ζ43−2ζ11−2ζ13−ζ29−ζ43−ζ11−ζ13−2ζ29−2ζ43ζ11+ζ13+2ζ29+2ζ430000000000000000000
χ1264-4-2-2022−2222−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ141-103−3002−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ140000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−2ζ25−ζ31−ζ41−2ζ472ζ25+ζ31+ζ41+2ζ47ζ25+2ζ31+2ζ41+ζ47−ζ25−2ζ31−2ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ432ζ11+2ζ13+ζ29+ζ43−2ζ11−2ζ13−ζ29−ζ43−ζ11−ζ13−2ζ29−2ζ43ζ11+ζ13+2ζ29+2ζ430000000000000000000-44220-2-222−2223−232ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14-110−3300−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ140000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ472ζ25+ζ31+ζ41+2ζ47−2ζ25−ζ31−ζ41−2ζ47−ζ25−2ζ31−2ζ41−ζ47ζ25+2ζ31+2ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−2ζ11−2ζ13−ζ29−ζ432ζ11+2ζ13+ζ29+ζ43ζ11+ζ13+2ζ29+2ζ43−ζ11−ζ13−2ζ29−2ζ430000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1).