Finite Group Databasebeta

← Group #11753119

Character table — Group #11753119

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444444466666666666666888888888888881010121212121212121212121212122020202020202030304040606060
order12223445566610101010101024101010101212151520202020202020203030303030302244442020202020202020612303030306060606060606060444101010102020202020202020244661212441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-111111-1-11111-1-1-1-1-111
χ6111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-111111-1-1
χ7111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-11-1-1111111-1-11-1-1
χ8111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-111
χ911111-1-1111111111111-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-1-1-111-1-11-11-11
χ1011111-1-1111111111111-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1111-1-111-11-11-1
χ1111111-1-1111111111111-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-11-1-1-111111-1-11-1
χ1211111-1-1111111111111-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-11
χ1311111-1-111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-11111111111-11-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-11-1-11111-11-1-11
χ1411111-1-111111111111-11-1-1-1-1-1-111-1-1-1-1111111111111-1-11111111111-11-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11-111-1
χ1511111-1-111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-11-1-111-1-1-1111-1
χ1611111-1-111111111111-11-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111111111-111-1-1111-1-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+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+52222222−1−52−1−52−1−52−1−52−1+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+52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522222-2-21+521+521+521+521−521−521−521−52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520021+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522222-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520021−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-221+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-221+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521+521+521−521−521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520021+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-221−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-221−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520021−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ332222-12222-1-1-1222222222222-1-1-1-122222222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000222-1-1-1-100-1-1000
χ342222-12222-1-1-1222222222222-1-1-1-122222222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000-2-2-211110011000
χ352222-12222-1-1-1222222-2-2-2-2-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-100000000000000111111-1-1-1-111112200000000000002-2-2-1-1-1-10011000
χ362222-12222-1-1-1222222-2-2-2-2-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-100000000000000111111-1-1-1-11111-2-20000000000000-222111100-1-1000
χ372222-1-2-222-1-1-12222222-2222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000000-11-1-1-1-111111111220000000000000-22-211-1-100-11000
χ382222-1-2-222-1-1-12222222-2222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000000-11-1-1-1-111111111-2-200000000000002-22-1-111001-1000
χ392222-1-2-222-1-1-1222222-22-2-2-2-211-1-1-2-2-2-22222-1-1-1-1-1-1000000000000001-111111111-1-1-1-1220000000000000-2-2211-1-1001-1000
χ402222-1-2-222-1-1-1222222-22-2-2-2-211-1-1-2-2-2-22222-1-1-1-1-1-1000000000000001-111111111-1-1-1-1-2-2000000000000022-2-1-11100-11000
χ4122-2-2200222-2-2-2-2-2-222000000002200000000-2-22-22-200002-222-2-222-2-2000000000000002i−2i0000000000000000002i−2i2i−2i00000
χ4222-2-2200222-2-2-2-2-2-222000000002200000000-2-22-22-200002-222-2-222-2-200000000000000−2i2i000000000000000000−2i2i−2i2i00000
χ4322-2-2200222-2-2-2-2-2-222000000002200000000-2-22-22-20000-22-2-222-2-222000000000000002i−2i0000000000000000002i−2i−2i2i00000
χ4422-2-2200222-2-2-2-2-2-222000000002200000000-2-22-22-20000-22-2-222-2-22200000000000000−2i2i000000000000000000−2i2i2i−2i00000
χ452-22-222i−2i22-22-2-2-222-2-20000002i−2i222i−2i2i−2i000022-2-2-2-22-22i−2i00000000000000002i−2i2i−2i00000002-22-200002i−2i2i−2i00000000000000
χ462-22-222i−2i22-22-2-2-222-2-20000002i−2i222i−2i2i−2i000022-2-2-2-2-22−2i2i00000000000000002i−2i2i−2i0000000-22-220000−2i2i−2i2i00000000000000
χ472-22-222i−2i−1−52−1+52-22-21+521−52−1−52−1+521+521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−522-22i−2i00−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000−1−521+52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000
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χ492-22-222i−2i−1−52−1+52-22-21+521−52−1−52−1+521+521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521+521−521−522-22i−2i00ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000−1−521+52−1+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000
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χ642-22-22−2i2i−1+52−1−52-22-21−521+52−1+52−1−521−521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−2i2i−1+52−1−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+52−1−521−521−521+521+52-222i−2i00ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590001−52−1+521+52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000
χ654444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544−1−5−1−5−1+5−1+5-2-21+521−52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−5200000000000000-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000
χ664444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-41+51+51−51−5-2-21+521−52−1−5−1−5−1+5−1+51+51+51−51−51+521−521+521+521−521−520000000000000022−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000
χ674444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544−1+5−1+5−1−5−1−5-2-21−521+52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−521+521−521−521+521+5200000000000000-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000
χ684444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-41−51−51+51+5-2-21−521+52−1+5−1+5−1−5−1−51−51−51+51+51−521+521−521−521+521+520000000000000022−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000
χ694444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4−1−5−1−5−1+5−1+5221+521−521+51+51−51−51+51+51−51−51+521−521+521+521−521−5200000000000000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000
χ704444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-441+51+51−51−5221+521−521+51+51−51−5−1−5−1−5−1+5−1+51+521−521+521+521−521−52000000000000002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000
χ714444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4−1+5−1+5−1−5−1−5221−521+521−51−51+51+51−51−51+51+51−521+521−521−521+521+5200000000000000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000
χ724444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-441−51−51+51+5221−521+521−51−51+51+5−1+5−1+5−1−5−1−51−521+521−521−521+521+52000000000000002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000
χ7344-4-4400−1−5−1+54-4-41+51−51+51−5−1−5−1+500000000−1−5−1+5000000001+51−5−1−51+5−1+51−500004-4−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000
χ7444-4-4400−1−5−1+54-4-41+51−51+51−5−1−5−1+500000000−1−5−1+5000000001+51−5−1−51+5−1+51−50000-441+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000
χ7544-4-4400−1+5−1−54-4-41−51+51−51+5−1+5−1−500000000−1+5−1−5000000001−51+5−1+51−5−1−51+500004-4−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000
χ7644-4-4400−1+5−1−54-4-41−51+51−51+5−1+5−1−500000000−1+5−1−5000000001−51+5−1+51−5−1−51+50000-441−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000
χ7744-4-4-20044-222-4-4-4-44400000000-2-20000000022-22-2200000000000000000000000000004i−4i000000000000000000−2i2i0000000
χ7844-4-4-20044-222-4-4-4-44400000000-2-20000000022-22-220000000000000000000000000000−4i4i0000000000000000002i−2i0000000
χ794-44-4-24i−4i442-22-4-444-4-4000000−2i2i-2-24i−4i4i−4i0000-2-2222200000000000000000000−2i2i−2i2i000000000000000000000000000000000
χ804-44-4-24i−4i−1−5−1+52-221+51−5−1−5−1+51+51−500−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+520000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000000
χ814-44-4-24i−4i−1−5−1+52-221+51−5−1−5−1+51+51−5002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+520000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000
χ824-44-4-24i−4i−1+5−1−52-221−51+5−1+5−1−51−51+5002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−520000000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000000
χ834-44-4-24i−4i−1+5−1−52-221−51+5−1+5−1−51−51+500−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−520000000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000000
χ844-44-4-2−4i4i442-22-4-444-4-40000002i−2i-2-2−4i4i−4i4i0000-2-22222000000000000000000002i−2i2i−2i000000000000000000000000000000000
χ854-44-4-2−4i4i−1−5−1+52-221+51−5−1−5−1+51+51−500−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+520000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000
χ864-44-4-2−4i4i−1−5−1+52-221+51−5−1−5−1+51+51−5002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+520000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000000
χ874-44-4-2−4i4i−1+5−1−52-221−51+5−1+5−1−51−51+5002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−520000000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000000
χ884-44-4-2−4i4i−1+5−1−52-221−51+5−1+5−1−51−51+500−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−520000000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000000
χ894-4-4440044-4-4444-4-4-4-4000000004400000000-4-4-44-44000000000000000000000000000000000000000000000000000000000
χ904-4-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+5000000001+51−51+5−1−51−5−1+5000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000
χ914-4-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−500000000−1−5−1+5000000001+51−51+5−1−51−5−1+50000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000
χ924-4-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−5000000001−51+51−5−1+51+5−1−50000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000
χ934-4-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+500000000−1+5−1−5000000001−51+51−5−1+51+5−1−5000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000
χ944-4-44-2004422-244-4-4-4-400000000-2-200000000222-22-20000000000000000000000000000000000000000000000−2i32i3000000000
χ954-4-44-2004422-244-4-4-4-400000000-2-200000000222-22-200000000000000000000000000000000000000000000002i3−2i3000000000
χ9688-8-8-400−2−25−2+25-4442+252−252+252−25−2−25−2+25000000001+51−500000000−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000
χ9788-8-8-400−2+25−2−25-4442−252+252−252+25−2+25−2−25000000001−51+500000000−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000
χ988-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−25000000001+51−500000000−1−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000
χ998-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+25000000001−51+500000000−1+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000

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