Finite Group Databasebeta

← Group #13086131

Character table — Group #13086131

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444488888888101012121212121212121212121212121212121212121212121212121212121218182020202020202020363636366060606060609090
order1222335566666610101010101036661515151530303030303030303030303015153030303030304424661010101012122020202030303030303030306060606060606060441212121212121212202020202466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-1
χ311111111111111111111111111111111111111111111111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ5111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-11-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ7111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ9222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1+52−1+52−1+52002222−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+52−1+52−1+522200000000−1−52−1−52−1+52−1+5200000000
χ10222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1+52−1+52−1+52002-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2000000001+521+521−521−5200000000
χ11222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1+52−1+52−1+5200-22-2-21+521+521−521−5222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2000000001+521+521−521−5200000000
χ12222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1+52−1+52−1+5200-2-2-2-21+521+521−521−52-2-21+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522200000000−1−52−1−52−1+52−1+5200000000
χ13222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52002222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−522200000000−1+52−1+52−1−52−1−5200000000
χ14222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52002-222−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2000000001−521−521+521+5200000000
χ15222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5200-22-2-21−521−521+521+5222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2000000001−521−521+521+5200000000
χ16222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5200-2-2-2-21−521−521+521+52-2-21−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522200000000−1+52−1+52−1−52−1−5200000000
χ1722222-1222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12202000000-1-1222200000000-1-1-1-1-1-1-1-10022-1-1-1-1-1-1000020-1-10000
χ1822222-1222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1220-200000011-2-2-2-200000000111111110022-1-1-1-1-1-10000-20110000
χ1922222-1222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-202000000-1-1222200000000-1-1-1-1-1-1-1-100-2-21111110000-20110000
χ2022222-1222-1-12-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-20-200000011-2-2-2-2000000001111111100-2-2111111000020-1-10000
χ212222-1222-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12220-1-12222000000-1-1-1-1-1-1-1-10000000000-1-122-1-1-1-100000200-1-100
χ222222-1222-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2011-2-2-2-2000000111111110000000000-1-122-1-1-1-100000-2001100
χ232222-1222-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-220-1-12222000000-1-1-1-1-1-1-1-1000000000011-2-2111100000-2001100
χ242222-1222-122-12-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2011-2-2-2-200000011111111000000000011-2-2111100000200-1-100
χ2522-2-22222-2-2-222-222-2-2-2-22-2-2222222-22-22-2-22-2-2-2-2222-2-22-2-2000000000000000000000000000000002i−2i000000002i−2i2i−2i00000000
χ2622-2-22222-2-2-222-222-2-2-2-22-2-2222222-22-22-2-22-2-2-2-2222-2-22-2-200000000000000000000000000000000−2i2i00000000−2i2i−2i2i00000000
χ2722-2-222−1−52−1+52-2-2-222-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−521+521−52−1−52−1+52−1−521+521+52−1+521−521−52000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ472i−2i00000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000
χ2822-2-222−1−52−1+52-2-2-222-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−521+521−52−1−52−1+52−1−521+521+52−1+521−521−52000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−2i2i00000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000
χ2922-2-222−1−52−1+52-2-2-222-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−521+521−52−1−52−1+52−1−521+521+52−1+521−521−52000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−2i2i00000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000
χ3022-2-222−1−52−1+52-2-2-222-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+52−1−521+52−1+521−52−1−521+521+52−1+521−521−521+521−52−1−52−1+52−1−521+521+52−1+521−521−52000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ472i−2i00000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000
χ3122-2-222−1+52−1−52-2-2-222-2−1+52−1−521−521+521−521+522-2-22−1+52−1−52−1+52−1−52−1+521−52−1−521+52−1+521−521−52−1−521+521+521−521+52−1+52−1−52−1+521−521−52−1−521+521+52000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−2i2i00000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000
χ3222-2-222−1+52−1−52-2-2-222-2−1+52−1−521−521+521−521+522-2-22−1+52−1−52−1+52−1−52−1+521−52−1−521+52−1+521−521−52−1−521+521+521−521+52−1+52−1−52−1+521−521−52−1−521+521+52000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ592i−2i00000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000
χ3322-2-222−1+52−1−52-2-2-222-2−1+52−1−521−521+521−521+522-2-22−1+52−1−52−1+52−1−52−1+521−52−1−521+52−1+521−521−52−1−521+521+521−521+52−1+52−1−52−1+521−521−52−1−521+521+52000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ592i−2i00000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000
χ3422-2-222−1+52−1−52-2-2-222-2−1+52−1−521−521+521−521+522-2-22−1+52−1−52−1+52−1−52−1+521−52−1−521+52−1+521−521−52−1−521+521+521−521+52−1+52−1−52−1+521−521−52−1−521+521+52000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−2i2i00000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000
χ352-22-2222222-2-2-2-2-2-2-2-22222-2-22222-22-22-22-2-22-2-2-222-22-2-22-22i−2i000000000000000000000000000000002i−2i2i−2i2i2i−2i−2i000000000000
χ362-22-2222222-2-2-2-2-2-2-2-22222-2-22222-22-22-22-2-22-2-2-222-22-2-22-2−2i2i00000000000000000000000000000000−2i2i−2i2i−2i−2i2i2i000000000000
χ372-22-22-1222-11-21-2-2-2-2-222-1-111-1-1221-11-1-22-2-22-211-1-11-111-112i−2i000000003−30000000000003−33−33−33−3002i−2i−ii−i−iii000000−i3i30000
χ382-22-22-1222-11-21-2-2-2-2-222-1-111-1-1221-11-1-22-2-22-211-1-11-111-112i−2i00000000−33000000000000−33−33−33−33002i−2i−ii−i−iii000000i3−i30000
χ392-22-22-1222-11-21-2-2-2-2-222-1-111-1-1221-11-1-22-2-22-211-1-11-111-11−2i2i000000003−30000000000003−33−33−33−300−2i2ii−iii−i−i000000i3−i30000
χ402-22-22-1222-11-21-2-2-2-2-222-1-111-1-1221-11-1-22-2-22-211-1-11-111-11−2i2i00000000−33000000000000−33−33−33−3300−2i2ii−iii−i−i000000−i3i30000
χ412-22-2-1222-12-21-21-2-2-2-222-1-11122-1-1-22-221-111-11-2-2-1-11-111-112i−2i00−i3i30000000000−i3i3−i3i3−i3i3−i3i30000000000−ii2i−2i−i−iii000000003−300
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χ914-4-44-24−1+5−1−52-442-4-21−51+5−1+5−1−51−51+5-22-22−1+5−1−51−521+521−51−51+51+5−1+52−1+521−52−1−52−1−521+52−1+5−1−51−521+52−1+52−1+521−52−1−52−1−521+520000000000000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000000
χ924-4-44-24−1+5−1−52-442-4-21−51+5−1+5−1−51−51+5-22-22−1+5−1−51−521+521−51−51+51+5−1+52−1+521−52−1−52−1−521+52−1+5−1−51−521+52−1+52−1+521−52−1−52−1−521+520000000000000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000000
χ934-4-44-2-24422-222-2-4-444-4-41-11-1-2-2-2-2222222-222-2-2-211-1-11-1-11000000000000000000000000000000000000003i−3i−3i3i000000000000
χ944-4-44-2-24422-222-2-4-444-4-41-11-1-2-2-2-2222222-222-2-2-211-1-11-1-1100000000000000000000000000000000000000−3i3i3i−3i000000000000
χ958888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+2522221+51−51+51−51+51+51−51−51+51+51+51−51−51−51+51−5−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000
χ968888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−2522221−51+51−51+51−51−51+51+51−51−51−51+51+51+51−51+5−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4−2−25−2+25444-4-44−2−25−2+252+252−252+252−252-2-221+51−51+51−51+5−1−51−5−1+51+5−1−5−1−51−5−1+5−1+5−1−5−1+5−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4−2+25−2−25444-4-44−2+25−2−252−252+252−252+252-2-221−51+51−51+51−5−1+51+5−1−51−5−1+5−1+51+5−1−5−1−5−1+5−1−5−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−2−25−2+25-4-444442+252−252+252−25−2−25−2+2522-2-21+51−51+51−5−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+5−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4−2+25−2−25-4-444442−252+252−252+25−2+25−2−2522-2-21−51+51−51+5−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−5−1+52−1−521−52−1+521−521+52−1−521+52000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4−2−25−2+2544-444-42+252−25−2−25−2+252+252−252-22-21+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1−51+5−1+5−1+51−51+51−5−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−2+25−2−2544-444-42−252+25−2+25−2−252−252+252-22-21−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1+51−5−1−5−1−51+51−51+5−1+52−1−521−521−52−1+521+521+52−1−52000000000000000000000000000000000000000000000000000000

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