Finite Group Databasebeta

← Group #11754317

Character table — Group #11754317

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444444444444444444444444444444444444101010101212121220202020202020202020242424242424242460606060
order1222223556666666101010101010441010101012121212151520202020202020203030303030303030303030303030606060606060606060606060606060604444244444121212121212121210102020202020202444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-111-1-1-1-1111-1-11
χ61111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11111-1-1-111-1
χ71111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-111-1
χ81111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-11-1-11
χ91111-1-111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11-111-1-111-1-11111-1-1-1-111-1-1
χ101111-1-111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-111
χ111111-1-111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1111111-1-1-1-1-1-111
χ121111-1-111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-1-111-1-1-1-1111111-1-1
χ131111-1-111111-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-11-1-1111-1-1-1-11111-1-111-1-11-11-1
χ141111-1-111111-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-11-1111-1-1-1-111-1-111-1-111-11-11
χ151111-1-111111-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-11-11-1-1-11111-1-111-1-111-1-1-11-11
χ161111-1-111111-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-11-111-1-1-11111-1-1-1-111-1-1111-11-1
χ172222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+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+52000022220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+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+520000-2-2-2-200000000001+521−521+521−521+521−521+521−520000
χ192222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+520000
χ202222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−520000
χ212222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-200000000001−521+521−521+521−521+521−521+520000
χ232222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200002-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−520000
χ242222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+520000
χ25222222-122-1-1-1-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-1000000000000
χ26222222-122-1-1-1-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000000000
χ27222222-122-1-1-1-1-1-1-1222222-2-222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122220000-2-2-1-1-1-11111000000000000
χ28222222-122-1-1-1-1-1-1-1222222-2-222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000221111-1-1-1-1000000000000
χ292222-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+52−1+52−1+521+521+521+521+521−521−521−521−52000022-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ302222-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+52−1+52−1+521+521+521+521+521−521−521−521−520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ312222-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-22-20000000000−1−52−1+521+521−52−1−52−1+521+521−520000
χ322222-2-22−1−52−1+5222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-22-2200000000001+521−52−1−52−1+521+521−52−1−52−1+520000
χ332222-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000022-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ342222-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ352222-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+52-2-222−1+52−1−521−521−521+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+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-22-20000000000−1+52−1−521−521+52−1+52−1−521−521+520000
χ362222-2-22−1+52−1−5222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+52-2-222−1+52−1−521−521−521+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+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-22-2200000000001−521+52−1+52−1−521−521+52−1+52−1−520000
χ372222-2-2-122-1-11111-12222222-2-2-2-2-2-1-111-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111122-2-200002-2-1-111-1-111000000000000
χ382222-2-2-122-1-11111-12222222-2-2-2-2-2-1-111-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-2220000-2211-1-111-1-1000000000000
χ392222-2-2-122-1-11111-1222222-22-2-2-2-211-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-122-2-20000-22-1-11111-1-1000000000000
χ402222-2-2-122-1-11111-1222222-22-2-2-2-211-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-22200002-211-1-1-1-111000000000000
χ412-2-222-2222-2-222-2-22-2-2-2-222002-22-200002200000000-2-2-2-222-2-222-2-22200000000000000002-22-20000002-22-20000000000000000
χ422-2-222-2222-2-222-2-22-2-2-2-222002-22-200002200000000-2-2-2-222-2-222-2-2220000000000000000-22-22000000-22-220000000000000000
χ432-2-222-2-12211-1-111-1-2-2-2-222002-22-2−i3i3−i3i3-1-1000000001111-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-22-2000000-11-11−i3i3−i3i3000000000000
χ442-2-222-2-12211-1-111-1-2-2-2-222002-22-2−i3i3−i3i3-1-1000000001111-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-22-220000001-11-1i3−i3i3−i3000000000000
χ452-2-222-2-12211-1-111-1-2-2-2-222002-22-2i3−i3i3−i3-1-1000000001111-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-22-2000000-11-11i3−i3i3−i3000000000000
χ462-2-222-2-12211-1-111-1-2-2-2-222002-22-2i3−i3i3−i3-1-1000000001111-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-22-220000001-11-1−i3i3−i3i3000000000000
χ472-2-22-22222-2-2-2-2222-2-2-2-22200-22-2200002200000000-2-2-2-2-2-222-2-2222200000000000000002-2-220000002-2-220000000000000000
χ482-2-22-22222-2-2-2-2222-2-2-2-22200-22-2200002200000000-2-2-2-2-2-222-2-222220000000000000000-222-2000000-222-20000000000000000
χ492-2-22-22-1221111-1-1-1-2-2-2-22200-22-22−i3i3i3−i3-1-100000000111111-1-111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32-2-22000000-111-1−i3i3i3−i3000000000000
χ502-2-22-22-1221111-1-1-1-2-2-2-22200-22-22−i3i3i3−i3-1-100000000111111-1-111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-222-20000001-1-11i3−i3−i3i3000000000000
χ512-2-22-22-1221111-1-1-1-2-2-2-22200-22-22i3−i3−i3i3-1-100000000111111-1-111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32-2-22000000-111-1i3−i3−i3i3000000000000
χ522-2-22-22-1221111-1-1-1-2-2-2-22200-22-22i3−i3−i3i3-1-100000000111111-1-111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-222-20000001-1-11−i3i3i3−i3000000000000
χ53444444-2−1−5−1+5-2-2-2-2-2-2-2−1−5−1−5−1+5−1+5−1−5−1+544−1−5−1−5−1+5−1+5-2-2-2-21+521−52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000
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χ854-44-400-2−1−5−1+52-22i3−2i3−2i32i321+5−1−51−5−1+51+51−500000000001+521−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000−1−521+52−1+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000000000
χ864-44-400-2−1−5−1+52-22i3−2i3−2i32i321+5−1−51−5−1+51+51−500000000001+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−1−521+52−1+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000000000
χ874-44-400-2−1+5−1−52-2−2i32i32i3−2i321−5−1+51+5−1−51−51+500000000001−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−1+521−52−1−521+52ζ2−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−ζ46−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000000
χ884-44-400-2−1+5−1−52-2−2i32i32i3−2i321−5−1+51+5−1−51−51+500000000001−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−1+521−52−1−521+52ζ2−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−ζ46−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000
χ894-44-400-2−1+5−1−52-22i3−2i3−2i32i321−5−1+51+5−1−51−51+500000000001−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−1+521−52−1−521+52−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+ζ46−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000
χ904-44-400-2−1+5−1−52-22i3−2i3−2i32i321−5−1+51+5−1−51−51+500000000001−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−1+521−52−1−521+52−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+ζ46−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000000
χ914-4-444-44−1−5−1+5-4-444-4-441+51+51−51−5−1−5−1+500−1−51+5−1+51−50000−1−5−1+5000000001+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+50000000000000000000000000000000000000000000000
χ924-4-444-44−1+5−1−5-4-444-4-441−51−51+51+5−1+5−1−500−1+51−5−1−51+50000−1+5−1−5000000001−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−50000000000000000000000000000000000000000000000
χ934-4-444-4-2−1−5−1+522-2-222-21+51+51−51−5−1−5−1+500−1−51+5−1+51−5−2i32i3−2i32i31+521−5200000000−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−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+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000
χ944-4-444-4-2−1−5−1+522-2-222-21+51+51−51−5−1−5−1+500−1−51+5−1+51−52i3−2i32i3−2i31+521−5200000000−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−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−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000
χ954-4-444-4-2−1+5−1−522-2-222-21−51−51+51+5−1+5−1−500−1+51−5−1−51+5−2i32i3−2i32i31−521+5200000000−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+52ζ2−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+ζ46ζ2−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+ζ46000000000000000000000000000000
χ964-4-444-4-2−1+5−1−522-2-222-21−51−51+51+5−1+5−1−500−1+51−5−1−51+52i3−2i32i3−2i31−521+5200000000−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+52−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−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−ζ46000000000000000000000000000000
χ974-4-44-444−1−5−1+5-4-4-4-44441+51+51−51−5−1−5−1+5001+5−1−51−5−1+50000−1−5−1+5000000001+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+50000000000000000000000000000000000000000000000
χ984-4-44-444−1+5−1−5-4-4-4-44441−51−51+51+5−1+5−1−5001−5−1+51+5−1−50000−1+5−1−5000000001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−50000000000000000000000000000000000000000000000
χ994-4-44-44-2−1−5−1+52222-2-2-21+51+51−51−5−1−5−1+5001+5−1−51−5−1+5−2i32i32i3−2i31+521−5200000000−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000
χ1004-4-44-44-2−1−5−1+52222-2-2-21+51+51−51−5−1−5−1+5001+5−1−51−5−1+52i3−2i3−2i32i31+521−5200000000−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000
χ1014-4-44-44-2−1+5−1−52222-2-2-21−51−51+51+5−1+5−1−5001−5−1+51+5−1−5−2i32i32i3−2i31−521+5200000000−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52ζ2−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−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−ζ46000000000000000000000000000000
χ1024-4-44-44-2−1+5−1−52222-2-2-21−51−51+51+5−1+5−1−5001−5−1+51+5−1−52i3−2i3−2i32i31−521+5200000000−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52−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−ζ46ζ2−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+ζ46000000000000000000000000000000

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