Finite Group Databasebeta

← Group #72231117

Character table — Group #72231117

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size124445101515248881020303024888102030305102020202550757524888102030304816161620406060481616162040606010204040405010015015036121212153045456122424243060909061224242430609090153060606075150225225
order13515152644515515151030202051551515103020202610303026443315151566121215151515153030606015151515153030606066303030661212261030302644103010303010302020103010303010302020261030302644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i
χ411111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100
χ744-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000
χ84-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ94-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ10111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111
χ1211111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii
χ1311111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i
χ142-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100
χ152-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100
χ1644-1-1-1000044-1-1-1000044-1-1-10000-4-4111000044-1-1-1000044-1-1-1000044-1-1-10000-4-4111000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000
χ174-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000
χ184-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000
χ19222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000
χ202222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+520000000002222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+520000000002222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52000000000
χ2122222-2-22i−2i−1+52−1+52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000022222-2-22i−2i−1+52−1+52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000022222-2-22i−2i−1+52−1+52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000
χ2222222-2-2−2i2i−1+52−1+52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000022222-2-2−2i2i−1+52−1+52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000022222-2-2−2i2i−1+52−1+52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000
χ234-24-2-24-200−1+51−52−1+51−521−52−1+51−5200−1−51+52−1−51+521+52−1−51+52000000000004-24-2-24-200−1+51−52−1+51−521−52−1+51−5200−1−51+52−1−51+521+52−1−51+52000000000004-24-2-24-200−1+51−52−1+51−521−52−1+51−5200−1−51+52−1−51+521+52−1−51+5200000000000
χ244-24-2-2-4200−1+51−52−1+51−521−521−5−1+5200−1−51+52−1−51+521+521+5−1−52000000000004-24-2-2-4200−1+51−52−1+51−521−521−5−1+5200−1−51+52−1−51+521+521+5−1−52000000000004-24-2-2-4200−1+51−52−1+51−521−521−5−1+5200−1−51+52−1−51+521+521+5−1−5200000000000
χ2588-2-2-20000−2+25−2+251−521−521−520000−2−25−2−251+521+521+52000000000000088-2-2-20000−2+25−2+251−521−521−520000−2−25−2−251+521+521+52000000000000088-2-2-20000−2+25−2+251−521−521−520000−2−25−2−251+521+521+520000000000000
χ268-4-21−i151+i150000−2+251−51−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ580000−2−251+51+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ5800000000000008-4-21−i151+i150000−2+251−51−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ580000−2−251+51+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ5800000000000008-4-21−i151+i150000−2+251−51−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ580000−2−251+51+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ580000000000000
χ278-4-21+i151−i150000−2+251−51−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ580000−2−251+51+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ5800000000000008-4-21+i151−i150000−2+251−51−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ580000−2−251+51+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ5800000000000008-4-21+i151−i150000−2+251−51−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ580000−2−251+51+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ580000000000000
χ28222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000
χ292222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−520000000002222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−520000000002222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52000000000
χ3022222-2-22i−2i−1−52−1−52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000022222-2-22i−2i−1−52−1−52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000022222-2-22i−2i−1−52−1−52−1−52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1+52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000
χ3122222-2-2−2i2i−1−52−1−52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000022222-2-2−2i2i−1−52−1−52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000022222-2-2−2i2i−1−52−1−52−1−52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1+52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000
χ324-24-2-24-200−1−51+52−1−51+521+52−1−51+5200−1+51−52−1+51−521−52−1+51−52000000000004-24-2-24-200−1−51+52−1−51+521+52−1−51+5200−1+51−52−1+51−521−52−1+51−52000000000004-24-2-24-200−1−51+52−1−51+521+52−1−51+5200−1+51−52−1+51−521−52−1+51−5200000000000
χ334-24-2-2-4200−1−51+52−1−51+521+521+5−1−5200−1+51−52−1+51−521−521−5−1+52000000000004-24-2-2-4200−1−51+52−1−51+521+521+5−1−5200−1+51−52−1+51−521−521−5−1+52000000000004-24-2-2-4200−1−51+52−1−51+521+521+5−1−5200−1+51−52−1+51−521−521−5−1+5200000000000
χ3488-2-2-20000−2−25−2−251+521+521+520000−2+25−2+251−521−521−52000000000000088-2-2-20000−2−25−2−251+521+521+520000−2+25−2+251−521−521−52000000000000088-2-2-20000−2−25−2−251+521+521+520000−2+25−2+251−521−521−520000000000000
χ358-4-21−i151+i150000−2−251+51+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ580000−2+251−51−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ5800000000000008-4-21−i151+i150000−2−251+51+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ580000−2+251−51−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ5800000000000008-4-21−i151+i150000−2−251+51+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ580000−2+251−51−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ580000000000000
χ368-4-21+i151−i150000−2−251+51+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ580000−2+251−51−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ5800000000000008-4-21+i151−i150000−2−251+51+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ580000−2+251−51−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ5800000000000008-4-21+i151−i150000−2−251+51+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ580000−2+251−51−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ580000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ3911111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii
χ4011111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i
χ412-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-2100
χ422-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-100
χ4344-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-41110000
χ444-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ454-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ46111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ471111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ4811111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i
χ4911111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii
χ502-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-21002-12-1-12-100
χ512-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-2100
χ5244-1-1-1000044-1-1-1000044-1-1-10000-4-4111000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-4111000044-1-1-10000
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χ55222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000-2-2-2-2-2-2-2-2-21−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+52000000000
χ562222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+520000000002222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52000000000-2-2-2-2-2-2-2221−521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+52−1−52−1−52000000000
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χ652222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−520000000002222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52000000000-2-2-2-2-2-2-2221+521+521+521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−52−1+52−1+52000000000
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χ9344444-4-44i−4i−1+5−1+5−1+5−1+5−1+51−51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−5−1−5−1−5−1−5−1−51+51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000-2-2-2-2-222−2i2i1−521−521−521−521−52−1+52−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ471+521+521+521+521+52−1−52−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000000000000000000000000000
χ9444444-4-4−4i4i−1+5−1+5−1+5−1+5−1+51−51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1−5−1−5−1−5−1−51+51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000-2-2-2-2-2222i−2i1−521−521−521−521−52−1+52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+521+521+521+521+52−1−52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000000000000000000000000000
χ958-48-4-48-400−2+251−5−2+251−51−5−2+251−500−2−251+5−2−251+51+5−2−251+500000000000-42-422-42001−5−1+521−5−1+52−1+521−5−1+52001+5−1−521+5−1−52−1−521+5−1−5200000000000000000000000000000000000000000000000
χ968-48-4-4-8400−2+251−5−2+251−51−52−25−1+500−2−251+5−2−251+51+52+25−1−500000000000-42-4224-2001−5−1+521−5−1+52−1+52−1+51−52001+5−1−521+5−1−52−1−52−1−51+5200000000000000000000000000000000000000000000000
χ971616-4-4-40000−4+45−4+451−51−51−50000−4−45−4−451+51+51+50000000000000-8-822200002−252−25−1+52−1+52−1+5200002+252+25−1−52−1−52−1−520000000000000000000000000000000000000000000000000
χ9816-8-42−2i152+2i150000−4+452−251−5−2ζ2−2ζ14+4ζ22−2ζ26+2ζ34−2ζ38+2ζ46+4ζ584ζ2+2ζ14−2ζ22+2ζ26−2ζ34+4ζ38−2ζ46−2ζ580000−4−452+251+52ζ2+4ζ14−2ζ22+4ζ26−2ζ34+2ζ38−2ζ46−2ζ58−2ζ2−2ζ14+2ζ22−2ζ26+4ζ34−2ζ38+4ζ46+2ζ580000000000000-842−1+i15−1−i1500002−25−1+5−1+52ζ2+ζ14−2ζ22+ζ26−ζ34+ζ38−ζ46−2ζ58−2ζ2−ζ14+ζ22−ζ26+ζ34−2ζ38+ζ46+ζ5800002+25−1−5−1−52−ζ2−2ζ14+ζ22−2ζ26+ζ34−ζ38+ζ46+ζ58ζ2+ζ14−ζ22+ζ26−2ζ34+ζ38−2ζ46−ζ580000000000000000000000000000000000000000000000000
χ9916-8-42+2i152−2i150000−4+452−251−54ζ2+2ζ14−2ζ22+2ζ26−2ζ34+4ζ38−2ζ46−2ζ58−2ζ2−2ζ14+4ζ22−2ζ26+2ζ34−2ζ38+2ζ46+4ζ580000−4−452+251+5−2ζ2−2ζ14+2ζ22−2ζ26+4ζ34−2ζ38+4ζ46+2ζ582ζ2+4ζ14−2ζ22+4ζ26−2ζ34+2ζ38−2ζ46−2ζ580000000000000-842−1−i15−1+i1500002−25−1+5−1+52−2ζ2−ζ14+ζ22−ζ26+ζ34−2ζ38+ζ46+ζ58ζ2+ζ14−2ζ22+ζ26−ζ34+ζ38−ζ46−2ζ5800002+25−1−5−1−52ζ2+ζ14−ζ22+ζ26−2ζ34+ζ38−2ζ46−ζ58−ζ2−2ζ14+ζ22−2ζ26+ζ34−ζ38+ζ46+ζ580000000000000000000000000000000000000000000000000
χ100444444444−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5000000000-2-2-2-2-2-2-2-2-21+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−52000000000000000000000000000000000000000000000
χ1014444444-4-4−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+5−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−5000000000-2-2-2-2-2-2-2221+521+521+521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−52−1+52−1+52000000000000000000000000000000000000000000000
χ10244444-4-44i−4i−1−5−1−5−1−5−1−5−1−51+51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+5−1+5−1+5−1+5−1+51−51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000-2-2-2-2-222−2i2i1+521+521+521+521+52−1−52−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ591−521−521−521−521−52−1+52−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000000000000000000000000000
χ10344444-4-4−4i4i−1−5−1−5−1−5−1−5−1−51+51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1+5−1+5−1+5−1+51−51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000-2-2-2-2-2222i−2i1+521+521+521+521+52−1−52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−521−521−521−521−52−1+52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000000000000000000000000000
χ1048-48-4-48-400−2−251+5−2−251+51+5−2−251+500−2+251−5−2+251−51−5−2+251−500000000000-42-422-42001+5−1−521+5−1−52−1−521+5−1−52001−5−1+521−5−1+52−1+521−5−1+5200000000000000000000000000000000000000000000000
χ1058-48-4-4-8400−2−251+5−2−251+51+52+25−1−500−2+251−5−2+251−51−52−25−1+500000000000-42-4224-2001+5−1−521+5−1−52−1−52−1−51+52001−5−1+521−5−1+52−1+52−1+51−5200000000000000000000000000000000000000000000000
χ1061616-4-4-40000−4−45−4−451+51+51+50000−4+45−4+451−51−51−50000000000000-8-822200002+252+25−1−52−1−52−1−5200002−252−25−1+52−1+52−1+520000000000000000000000000000000000000000000000000
χ10716-8-42−2i152+2i150000−4−452+251+52ζ2+4ζ14−2ζ22+4ζ26−2ζ34+2ζ38−2ζ46−2ζ58−2ζ2−2ζ14+2ζ22−2ζ26+4ζ34−2ζ38+4ζ46+2ζ580000−4+452−251−5−2ζ2−2ζ14+4ζ22−2ζ26+2ζ34−2ζ38+2ζ46+4ζ584ζ2+2ζ14−2ζ22+2ζ26−2ζ34+4ζ38−2ζ46−2ζ580000000000000-842−1+i15−1−i1500002+25−1−5−1−52−ζ2−2ζ14+ζ22−2ζ26+ζ34−ζ38+ζ46+ζ58ζ2+ζ14−ζ22+ζ26−2ζ34+ζ38−2ζ46−ζ5800002−25−1+5−1+52ζ2+ζ14−2ζ22+ζ26−ζ34+ζ38−ζ46−2ζ58−2ζ2−ζ14+ζ22−ζ26+ζ34−2ζ38+ζ46+ζ580000000000000000000000000000000000000000000000000
χ10816-8-42+2i152−2i150000−4−452+251+5−2ζ2−2ζ14+2ζ22−2ζ26+4ζ34−2ζ38+4ζ46+2ζ582ζ2+4ζ14−2ζ22+4ζ26−2ζ34+2ζ38−2ζ46−2ζ580000−4+452−251−54ζ2+2ζ14−2ζ22+2ζ26−2ζ34+4ζ38−2ζ46−2ζ58−2ζ2−2ζ14+4ζ22−2ζ26+2ζ34−2ζ38+2ζ46+4ζ580000000000000-842−1−i15−1+i1500002+25−1−5−1−52ζ2+ζ14−ζ22+ζ26−2ζ34+ζ38−2ζ46−ζ58−ζ2−2ζ14+ζ22−2ζ26+ζ34−ζ38+ζ46+ζ5800002−25−1+5−1+52−2ζ2−ζ14+ζ22−ζ26+ζ34−2ζ38+ζ46+ζ58ζ2+ζ14−2ζ22+ζ26−ζ34+ζ38−ζ46−2ζ580000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.