Finite Group Databasebeta

← Group #11899691

Character table — Group #11899691

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222222222244444444444444444444444444444466666666666666668888888888888888812121212121212121212121212121212242424244848484872727272
order122334466881212242424243666812121212121616161624242424242424244848484848484848224416161616484848484848484861224242448484848484848484848484866881212161624242424484848482224666122224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-11-1-11
χ6111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-111-1
χ7111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-111-1
χ8111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111-1-11
χ911-111-1111111111111-1-11-1-1-111111-1-1-1-11111111111-1-1-1-11-11-1111111111111-1-1-1-1-1111111-1-1-1-1-1-11-11-11-1-1-111-1-1-1-1-1-11-11-11-11-111-1-1
χ1011-111-1111111111111-1-11-1-1-111111-1-1-1-11111111111-1-1-1-11-11-1111111111111-1-1-1-1-1111111-1-1-1-1-1-11-11-11-1-1-111-1-1-1-1-1-1-11-11-11-11-1-111
χ1111-111-1111111111111-1-11-1-1-111111-1-1-1-11111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1111-1-11111111-11-11-11-1-1-111
χ1211-111-1111111111111-1-11-1-1-111111-1-1-1-11111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1111-1-1111111-11-11-11-1111-1-1
χ1311-111-1111111111111-1-11-1-1-1111-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11111-1-111111-1-111-1-111-11-1
χ1411-111-1111111111111-1-11-1-1-1111-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11111-1-11111-111-1-111-1-11-11
χ1511-111-1111111111111-1-11-1-1-1111-1-111-1-1111111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1-1-1-111-1-1-1-11-1-111-1-11-11-11
χ1611-111-1111111111111-1-11-1-1-1111-1-111-1-1111111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1-1-1-111-1-1-1-1-111-1-111-11-11-1
χ17222222222-2-222-2-2-2-22222-2222220000-2-2-2-2-2-2-2-200000000222200000000000022-2-2-200000000000022-2-22200-2-2-2-20000000000000000
χ18222222222-2-222-2-2-2-22222-2222220000-2-2-2-2-2-2-2-200000000-2-2-2-200000000000022-2-2-2000000000000-2-222-2-20022220000000000000000
χ1922222-2-22200-2-2000022220-2-2-2-2-22−22−20000000022−2−222−2−22-2-2222−2−22222−2−2−2−22-2000222−2−2−2222−2−2−22-200-222−2000022−2−2000000000000
χ2022222-2-22200-2-2000022220-2-2-2-2-22−22−20000000022−2−222−2−2-222-2−2−222−2−2−2−222222-2000222−2−2−2222−2−2−2-22002-2−220000−2−222000000000000
χ2122222-2-22200-2-2000022220-2-2-2-2-2−22−2200000000−2−222−2−2222-2-22−2−222−2−2−2−222222-2000−2−2−2222−2−2−22222-200-22−220000−2−222000000000000
χ2222222-2-22200-2-2000022220-2-2-2-2-2−22−2200000000−2−222−2−222-222-222−2−22222−2−2−2−22-2000−2−2−2222−2−2−2222-22002-22−2000022−2−2000000000000
χ232222-1222-122222222-12-1-122-1-1-1-1222222-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-10000
χ242222-1222-122222222-12-1-122-1-1-1-1222222-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211110000
χ252222-1222-122222222-12-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1111111111111000000000000000022-2-2-1-1110000
χ262222-1222-122222222-12-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-11111111111110000000000000000-2-22211-1-10000
χ27222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000
χ28222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-12-1-12-1-12-1-12-1-12-1-111-2-211-2-211111111000000000000
χ29222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-1-2-2-2-2-1-122-1-1-1-1111111112222-2-2-2-211111111-1-12-1-1-211-211-211-211-1-122-1-1-2-2-1-1-1-11111000000000000
χ30222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-1-2-2-2-2-1-122-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-1-1-12-1-1-211-211-211-21111-2-211221111-1-1-1-1000000000000
χ31222-1222-12-2-2-1-11111-1-12-1-2-122-1-1000011-2-211113−33−33−33−32222000033−3−333−3−3-1-1-21103−303−303−303−3-1-1-2-2-1-10011113−33−3000000000000
χ32222-1222-12-2-2-1-11111-1-12-1-2-122-1-1000011-2-211113−33−33−33−3-2-2-2-20000−3−333−3−333-1-1-21103−303−303−303−311221100-1-1-1-1−33−33000000000000
χ33222-1222-12-2-2-1-11111-1-12-1-2-122-1-1000011-2-21111−33−33−33−3322220000−3−333−3−333-1-1-2110−330−330−330−33-1-1-2-2-1-1001111−33−33000000000000
χ34222-1222-12-2-2-1-11111-1-12-1-2-122-1-1000011-2-21111−33−33−33−33-2-2-2-2000033−3−333−3−3-1-1-2110−330−330−330−3311221100-1-1-1-13−33−3000000000000
χ35222-12-2-2-12001133−3−3-1-12-101-2-2112−22−23−30033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ462-2-2222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-1103−32ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ46-11001-12−23−33−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ36222-12-2-2-12001133−3−3-1-12-101-2-2112−22−23−30033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46-222-2−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-1103−32ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ461-100-11−22−33−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ37222-12-2-2-12001133−3−3-1-12-101-2-211−22−223−30033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ462-2-22−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-1103−3−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ46-11001-1−223−33−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ38222-12-2-2-12001133−3−3-1-12-101-2-211−22−223−30033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46-222-222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-1103−3−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ461-100-112−2−33−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ39222-12-2-2-120011−3−333-1-12-101-2-2112−22−2−3300−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ142-2-2222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-110−332ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ14-11001-12−2−33−33ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ40222-12-2-2-120011−3−333-1-12-101-2-2112−22−2−3300−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14-222-2−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-110−332ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ141-100-11−223−33−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ41222-12-2-2-120011−3−333-1-12-101-2-211−22−22−3300−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ142-2-22−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-110−33−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ14-11001-1−22−33−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ42222-12-2-2-120011−3−333-1-12-101-2-211−22−22−3300−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14-222-222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-110−33−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ141-100-112−23−33−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ4322-2222-22200-2-200002-2-22022-2-2-22−2−220000000022−2−2−2−22222-2-222−2−22222−2−2−2−2-22000222−2−2−2−2−2−22222200-2-2−220000−2−222000000000000
χ4422-2222-22200-2-200002-2-22022-2-2-22−2−220000000022−2−2−2−222-2-222−2−222−2−2−2−22222-22000222−2−2−2−2−2−2222-2-200222−2000022−2−2000000000000
χ4522-2222-22200-2-200002-2-22022-2-2-2−222−200000000−2−22222−2−222-2-2−2−222−2−2−2−22222-22000−2−2−2222222−2−2−22200-2-22−2000022−2−2000000000000
χ4622-2222-22200-2-200002-2-22022-2-2-2−222−200000000−2−22222−2−2-2-22222−2−22222−2−2−2−2-22000−2−2−2222222−2−2−2-2-20022−220000−2−222000000000000
χ4722-222-2222-2-222-2-2-2-22-2-222-2-2222000022-2-2-2-2-2-2000000002-22-2000000000000-2-22220000000000002-2-222-200-2-2220000000000000000
χ4822-222-2222-2-222-2-2-2-22-2-222-2-2222000022-2-2-2-2-2-200000000-22-22000000000000-2-2222000000000000-222-2-220022-2-20000000000000000
χ4922-22-1-222-122222222-1-21-1-2-21-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-111111100000000000000002-22-2-11-110000
χ5022-22-1-222-122222222-1-21-1-2-21-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-11111110000000000000000-22-221-11-10000
χ5122-22-1-222-122222222-1-21-1-2-21-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-100000000000000002-2-22-111-10000
χ5222-22-1-222-122222222-1-21-1-2-21-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-10000000000000000-222-21-1-110000
χ5322-2-122-2-12001133−3−3-11-2-10-12-2112−2−22−330033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4622-2-222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ461-10−332ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ46−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ46-1-10011−223−3−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ5422-2-122-2-12001133−3−3-11-2-10-12-2112−2−22−330033−3−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46-2-222−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ461-10−332ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ46−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ461100-1-12−2−333−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ5522-2-122-2-12001133−3−3-11-2-10-12-211−222−2−330033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4622-2-2−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ461-10−33−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ462ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ46-1-100112−23−3−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ5622-2-122-2-12001133−3−3-11-2-10-12-211−222−2−330033−3−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46-2-22222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ461-10−33−2−ζ10+ζ14−ζ26+ζ462ζ10−ζ14ζ26−ζ462ζ10−ζ14ζ26−ζ46−2−ζ10+ζ14−ζ26+ζ461100-1-1−22−333−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ5722-2-122-2-120011−3−333-11-2-10-12-2112−2−223−300−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1422-2-222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ141-103−32ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ14−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ14-1-10011−22−333−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ5822-2-122-2-120011−3−333-11-2-10-12-2112−2−223−300−3−333ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14-2-222−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ141-103−32ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ14−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ141100-1-12−23−3−33ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ5922-2-122-2-120011−3−333-11-2-10-12-211−222−23−300−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1422-2-2−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ141-103−3−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ142ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ14-1-100112−2−333−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ6022-2-122-2-120011−3−333-11-2-10-12-211−222−23−300−3−333−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14-2-22222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ141-103−3−2−ζ26+ζ46−ζ10+ζ142ζ26−ζ46ζ10−ζ142ζ26−ζ46ζ10−ζ14−2−ζ26+ζ46−ζ10+ζ141100-1-1−223−3−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ6122-2-12-22-1222-1-1-1-1-1-1-11-2-1-21-22-1-122-2-21122-1-1-1-1-1-1-1-111112-22-22222-1-1-1-1-1-1-1-111-2112-1-12-1-1-211-211-112-2-11-2-2-1-1111111000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1).