Finite Group Databasebeta

← Group #11798356

Character table — Group #11798356

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222222222224444444444444444448888888888888888888888812121212121212121212121212122424242424242448484848487272144
order122334466881212242424243666812121212122424242424242424612161624242448484848484848484848484848484848241616161648484848484848482468122424266612228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1111-1
χ61111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11
χ71111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-11-1-11
χ81111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-111-111-1
χ9222222222-2-222-2-2-2-22222-222222-2-2-2-2-2-2-2-22200-2-2-2000000000000000022000000000000002-22-2-200000000
χ10222222222-2-222-2-2-2-22222-222222-2-2-2-2-2-2-2-22200-2-2-20000000000000000-2-200000000000000-22-22200000000
χ112222-1222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022000002-1-1-1-1000
χ122222-1222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200000-21111000
χ132222-1222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-122-1-1-2-2-1-1-1-2-2-2-2111111111111000000000000002200000-2-111-1000
χ142222-1222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-122-1-1-2-2-1-1-1-2-2-2-211111111111100000000000000-2-20000021-1-11000
χ15222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100-12-1-1-100000000
χ16222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111001-211100000000
χ17222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-2-22-1-11111-2-2-2-21111111122-2-2-2-21111111100-12-1-1-100000000
χ18222-1222-1222-1-1-1-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-2-22-1-11111-2-2-2-211111111-2-22222-1-1-1-1-1-1-1-1001-211100000000
χ19222-1222-12-2-2-1-11111-1-12-1-2-122-1-1-2-2111111-1-100-21133−3−300003333−3−3−3−32200003333−3−3−3−300-1-2-11100000000
χ20222-1222-12-2-2-1-11111-1-12-1-2-122-1-1-2-2111111-1-100-21133−3−300003333−3−3−3−3-2-20000−3−3−3−3333300121-1-100000000
χ21222-1222-12-2-2-1-11111-1-12-1-2-122-1-1-2-2111111-1-100-211−3−3330000−3−3−3−33333220000−3−3−3−3333300-1-2-11100000000
χ22222-1222-12-2-2-1-11111-1-12-1-2-122-1-1-2-2111111-1-100-211−3−3330000−3−3−3−33333-2-200003333−3−3−3−300121-1-100000000
χ2322-2222-222222222222-2-22-2-2-2222222222-2-2-2-200-2-2-20000000000000000000000000000002-2000000200-2000
χ2422-2222-222222222222-2-22-2-2-2222222222-2-2-2-200-2-2-2000000000000000000000000000000-22000000-2002000
χ2522-2222-222-2-222-2-2-2-22-2-222-2-2222-2-2-2-2-2-222-2-2002220000000000000000000000000000000000000000002-20
χ2622-2222-222-2-222-2-2-2-22-2-222-2-2222-2-2-2-2-2-222-2-200222000000000000000000000000000000000000000000-220
χ2722-222-222200-2-200002-2-22022-2-2-200000000-222−20002−22−222−2−222−2−222−2−22-222−2−222−2−222−2−20020-20000000000
χ2822-222-222200-2-200002-2-22022-2-2-200000000-222−20002−22−222−2−222−2−222−2−2-22−2−222−2−222−2−22200-2020000000000
χ2922-222-222200-2-200002-2-22022-2-2-200000000-22−22000−22−22−2−222−2−222−2−2222-2−2−222−2−222−2−2220020-20000000000
χ3022-222-222200-2-200002-2-22022-2-2-200000000-22−22000−22−22−2−222−2−222−2−222-2222−2−222−2−222−2−200-2020000000000
χ3122-22-12-22-122222222-1-21-1-2-21-1-1-1-1-1-1-1-1-1-2-211001110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000002-2000000-1−i3i31000
χ3222-22-12-22-122222222-1-21-1-2-21-1-1-1-1-1-1-1-1-1-2-211001110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000-220000001i3−i3-1000
χ3322-22-12-22-122222222-1-21-1-2-21-1-1-1-1-1-1-1-1-1-2-211001110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000002-2000000-1i3−i31000
χ3422-22-12-22-122222222-1-21-1-2-21-1-1-1-1-1-1-1-1-1-2-211001110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000-220000001−i3i3-1000
χ3522-2-12-22-12001133−3−3-11-2-10-12-2110033−3−33−31-12−203−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ462-222−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4600-1013−300000000
χ3622-2-12-22-12001133−3−3-11-2-10-12-2110033−3−33−31-12−203−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-22−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ460010-1−3300000000
χ3722-2-12-22-12001133−3−3-11-2-10-12-2110033−3−33−31-1−2203−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ462-2−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4600-1013−300000000
χ3822-2-12-22-12001133−3−3-11-2-10-12-2110033−3−33−31-1−2203−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46-2222−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ460010-1−3300000000
χ3922-2-12-22-120011−3−333-11-2-10-12-21100−3−333−331-12−20−33ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ142-222−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1400-101−3300000000
χ4022-2-12-22-120011−3−333-11-2-10-12-21100−3−333−331-12−20−33ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14-22−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ140010-13−300000000
χ4122-2-12-22-120011−3−333-11-2-10-12-21100−3−333−331-1−220−33−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ142-2−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1400-101−3300000000
χ4222-2-12-22-120011−3−333-11-2-10-12-21100−3−333−331-1−220−33−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14-2222−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ140010-13−300000000
χ4344444-4-44400-4-4000044440-4-4-4-4-4000000004-400000000000000000000000000000000000000000000000000
χ444444-2444-2-4-444-4-4-4-4-24-2-2-44-2-2-2-2222222-4-4-2-200222000000000000000000000000000000000000000000000
χ454444-2-4-44-200-4-40000-24-2-20-4222200000000-22000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000
χ464444-2-4-44-200-4-40000-24-2-20-4222200000000-22000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000
χ47444-24-4-4-2400222323−23−23-2-24-202-4-422002323−23−23−2323-22000−2323000000000000000000000000000000000000000000000
χ48444-24-4-4-240022−23−232323-2-24-202-4-42200−23−23232323−23-2200023−23000000000000000000000000000000000000000000000
χ49444-2-244-2-244-2-2-2-2-2-21-2-214-2-2-211-2-21111-2-21144-211-2-2-2-2-2-2-2-21111111100000000000000000000000000000
χ50444-2-244-2-244-2-2-2-2-2-21-2-214-2-2-211-2-21111-2-211-4-4-21122222222-1-1-1-1-1-1-1-100000000000000000000000000000
χ51444-2-244-2-2-4-4-2-222221-2-21-4-2-2-21122-1-1-1-12211002-1-12323−23−230000−3−3−3−3333300000000000000000000000000000
χ52444-2-244-2-2-4-4-2-222221-2-21-4-2-2-21122-1-1-1-12211002-1-1−23−23232300003333−3−3−3−300000000000000000000000000000
χ53444-2-2-4-4-2-200222323−23−231-2-210222-1-100−3−333−23231-10003−30000i6−i6−i6i6ζ10+ζ14+2ζ26+2ζ46−ζ10−ζ14−2ζ26−2ζ46−ζ10−ζ14−2ζ26−2ζ46ζ10+ζ14+2ζ26+2ζ46−2ζ10−2ζ14−ζ26−ζ462ζ10+2ζ14+ζ26+ζ462ζ10+2ζ14+ζ26+ζ46−2ζ10−2ζ14−ζ26−ζ4600000000000000000000000000000
χ54444-2-2-4-4-2-200222323−23−231-2-210222-1-100−3−333−23231-10003−30000−i6i6i6−i6−ζ10−ζ14−2ζ26−2ζ46ζ10+ζ14+2ζ26+2ζ46ζ10+ζ14+2ζ26+2ζ46−ζ10−ζ14−2ζ26−2ζ462ζ10+2ζ14+ζ26+ζ46−2ζ10−2ζ14−ζ26−ζ46−2ζ10−2ζ14−ζ26−ζ462ζ10+2ζ14+ζ26+ζ4600000000000000000000000000000
χ55444-2-2-4-4-2-20022−23−2323231-2-210222-1-10033−3−323−231-1000−330000i6−i6−i6i6−2ζ10−2ζ14−ζ26−ζ462ζ10+2ζ14+ζ26+ζ462ζ10+2ζ14+ζ26+ζ46−2ζ10−2ζ14−ζ26−ζ46ζ10+ζ14+2ζ26+2ζ46−ζ10−ζ14−2ζ26−2ζ46−ζ10−ζ14−2ζ26−2ζ46ζ10+ζ14+2ζ26+2ζ4600000000000000000000000000000
χ56444-2-2-4-4-2-20022−23−2323231-2-210222-1-10033−3−323−231-1000−330000−i6i6i6−i62ζ10+2ζ14+ζ26+ζ46−2ζ10−2ζ14−ζ26−ζ46−2ζ10−2ζ14−ζ26−ζ462ζ10+2ζ14+ζ26+ζ46−ζ10−ζ14−2ζ26−2ζ46ζ10+ζ14+2ζ26+2ζ46ζ10+ζ14+2ζ26+2ζ46−ζ10−ζ14−2ζ26−2ζ4600000000000000000000000000000
χ5744-44-24-44-2-4-444-4-4-4-4-2-42-24-42-2-2-2222222442200-2-2-2000000000000000000000000000000000000000000000
χ5844-44-2-444-200-4-40000-2-42-204-2222000000002-222−2200022−2222−22−2−222−2−222−2−22200000000000000000000000000000
χ5944-44-2-444-200-4-40000-2-42-204-2222000000002-2−2222000−2222−222222−2−222−2−222−2−200000000000000000000000000000
χ6044-4-244-4-2444-2-2-2-2-2-2-22-4-2-42-44-2-244-2-2-2-2222200-422000000000000000000000000000000000000000000000
χ6144-4-244-4-24-4-4-2-22222-22-4-242-44-2-2-4-42222-2-222004-2-2000000000000000000000000000000000000000000000
χ6244-4-2-24-4-2-244-2-2-2-2-2-21221-422-211-2-2111122-1-1002-1-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000
χ6344-4-2-24-4-2-244-2-2-2-2-2-21221-422-211-2-2111122-1-1002-1-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000
χ6444-4-2-24-4-2-2-4-4-2-222221221422-21122-1-1-1-1-2-2-1-100-211000000003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000
χ6544-4-2-24-4-2-2-4-4-2-222221221422-21122-1-1-1-1-2-2-1-100-21100000000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000
χ6644-4-2-2-44-2-200222323−23−2312210-2-22-1-100−3−33323−23-1122−220−332ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4600000000000000000000000000000
χ6744-4-2-2-44-2-200222323−23−2312210-2-22-1-100−3−33323−23-11−22220−33−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4600000000000000000000000000000
χ6844-4-2-2-44-2-20022−23−23232312210-2-22-1-10033−3−3−2323-1122−2203−32ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1400000000000000000000000000000
χ6944-4-2-2-44-2-20022−23−23232312210-2-22-1-10033−3−3−2323-11−222203−3−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1400000000000000000000000000000
χ704-404400-4-422−220022−2222−22400-400000022−2222−2222−22000000000000000000000000000ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47000000000000000
χ714-404400-4-422−220022−2222−22400-400000022−2222−2222−22000000000000000000000000000−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47000000000000000
χ724-404400-4-4−222200−2222−2222400-4000000−2222−2222−2222000000000000000000000000000ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47000000000000000
χ734-404400-4-4−222200−2222−2222400-4000000−2222−2222−2222000000000000000000000000000−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47000000000000000
χ744-40-24002-422−2223−232ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46-2002000023−2322−222ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46000000000000000000000000000ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ29−ζ31+ζ41−ζ43−ζ29+ζ31−ζ41+ζ43ζ29+ζ31−ζ41−ζ43−ζ29−ζ31+ζ41+ζ43−ζ11+ζ13+ζ25−ζ47ζ11−ζ13−ζ25+ζ47−ζ11+ζ13−ζ25+ζ47ζ11−ζ13+ζ25−ζ47000000000000000
χ754-40-24002-422−2223−232ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46-2002000023−2322−222ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46000000000000000000000000000−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ29+ζ31−ζ41+ζ43ζ29−ζ31+ζ41−ζ43−ζ29−ζ31+ζ41+ζ43ζ29+ζ31−ζ41−ζ43ζ11−ζ13−ζ25+ζ47−ζ11+ζ13+ζ25−ζ47ζ11−ζ13+ζ25−ζ47−ζ11+ζ13−ζ25+ζ47000000000000000
χ764-40-24002-422−22−23232ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14-20020000−232322−222ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14000000000000000000000000000ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47−ζ11+ζ13+ζ25−ζ47ζ11−ζ13−ζ25+ζ47−ζ11+ζ13−ζ25+ζ47ζ11−ζ13+ζ25−ζ47ζ29−ζ31+ζ41−ζ43−ζ29+ζ31−ζ41+ζ43ζ29+ζ31−ζ41−ζ43−ζ29−ζ31+ζ41+ζ43000000000000000
χ774-40-24002-422−22−23232ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14-20020000−232322−222ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14000000000000000000000000000−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47ζ11−ζ13−ζ25+ζ47−ζ11+ζ13+ζ25−ζ47ζ11−ζ13+ζ25−ζ47−ζ11+ζ13−ζ25+ζ47−ζ29+ζ31−ζ41+ζ43ζ29−ζ31+ζ41−ζ43−ζ29−ζ31+ζ41+ζ43ζ29+ζ31−ζ41−ζ43000000000000000
χ784-40-24002-4−222223−23−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46-2002000023−23−2222−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46000000000000000000000000000ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47ζ29+ζ31−ζ41−ζ43−ζ29−ζ31+ζ41+ζ43−ζ29+ζ31−ζ41+ζ43ζ29−ζ31+ζ41−ζ43−ζ11+ζ13−ζ25+ζ47ζ11−ζ13+ζ25−ζ47ζ11−ζ13−ζ25+ζ47−ζ11+ζ13+ζ25−ζ47000000000000000
χ794-40-24002-4−222223−23−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46-2002000023−23−2222−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46000000000000000000000000000−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47−ζ29−ζ31+ζ41+ζ43ζ29+ζ31−ζ41−ζ43ζ29−ζ31+ζ41−ζ43−ζ29+ζ31−ζ41+ζ43ζ11−ζ13+ζ25−ζ47−ζ11+ζ13−ζ25+ζ47−ζ11+ζ13+ζ25−ζ47ζ11−ζ13−ζ25+ζ47000000000000000
χ804-40-24002-4−2222−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14-20020000−2323−2222−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14000000000000000000000000000ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13−ζ25+ζ47ζ11−ζ13+ζ25−ζ47ζ11−ζ13−ζ25+ζ47−ζ11+ζ13+ζ25−ζ47ζ29+ζ31−ζ41−ζ43−ζ29−ζ31+ζ41+ζ43−ζ29+ζ31−ζ41+ζ43ζ29−ζ31+ζ41−ζ43000000000000000
χ814-40-24002-4−2222−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14-20020000−2323−2222−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14000000000000000000000000000−ζ11+ζ13−ζ25+ζ29+ζ31−ζ41−ζ43+ζ47ζ11−ζ13+ζ25−ζ29−ζ31+ζ41+ζ43−ζ47ζ11−ζ13−ζ25−ζ29+ζ31−ζ41+ζ43+ζ47−ζ11+ζ13+ζ25+ζ29−ζ31+ζ41−ζ43−ζ47ζ11−ζ13+ζ25−ζ47−ζ11+ζ13−ζ25+ζ47−ζ11+ζ13+ζ25−ζ47ζ11−ζ13−ζ25+ζ47−ζ29−ζ31+ζ41+ζ43ζ29+ζ31−ζ41−ζ43ζ29−ζ31+ζ41−ζ43−ζ29+ζ31−ζ41+ζ43000000000000000
χ828-808-400-8442−420042−4242−42-4004000000−2222−2222−2222000000000000000000000000000000000000000000000000000000
χ838-808-400-84−424200−4242−4242-400400000022−2222−2222−22000000000000000000000000000000000000000000000000000000
χ848-80-4-4004442−4243−434ζ10−4ζ14−4ζ10+4ζ144ζ26−4ζ46−4ζ26+4ζ46200-20000−2323−2222−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46000000000000000000000000000000000000000000000000000000
χ858-80-4-4004442−42−43434ζ26−4ζ46−4ζ26+4ζ464ζ10−4ζ14−4ζ10+4ζ14200-2000023−23−2222−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14000000000000000000000000000000000000000000000000000000
χ868-80-4-40044−424243−43−4ζ10+4ζ144ζ10−4ζ14−4ζ26+4ζ464ζ26−4ζ46200-20000−232322−222ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46000000000000000000000000000000000000000000000000000000
χ878-80-4-40044−4242−4343−4ζ26+4ζ464ζ26−4ζ46−4ζ10+4ζ144ζ10−4ζ14200-2000023−2322−222ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.