Finite Group Databasebeta

← Group #11748813

Character table — Group #11748813

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444101010101010101010101010101010101010101010101010121212121212121212121212121212121212121260606060
order1222222234444556666666101010101010101010101010101012121212121212121515202020202020202030303030303030303030303030306060606060606060606060606060606044444444121212121212121212121212121212124444202020202020202020202020202020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ6111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ7111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-111
χ8111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ911-1-1-111-11ii−i−i1111-1-1-11-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i
χ1011-1-1-111-11ii−i−i1111-1-1-11-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11-1-1-1-11111−i−i−i−iiiii-11−ii
χ1111-1-1-111-11ii−i−i1111-1-1-11-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii
χ1211-1-1-111-11ii−i−i1111-1-1-11-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−ii-11-1-1-1-11111−i−i−i−iiiii1-1i−i
χ1311-1-1-111-11−i−iii1111-1-1-11-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111i−i-11-1-1-1-11111iiii−i−i−i−i1-1−ii
χ1411-1-1-111-11−i−iii1111-1-1-11-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−ii1-11111-1-1-1-1−i−i−i−iiiii-11i−i
χ1511-1-1-111-11−i−iii1111-1-1-11-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11-1-1-1-11111iiii−i−i−i−i-11i−i
χ1611-1-1-111-11−i−iii1111-1-1-11-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii
χ172222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000002222−1−52−1−52−1+52−1+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
χ182222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ192222222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ202222222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ21222222222-2-2-2-2−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521−521−521−521−5200000000000000000000000022-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ22222222222-2-2-2-2−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521−521−521−521−52000000000000000000000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ23222222222-2-2-2-2−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+5200000000000000000000000022-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ24222222222-2-2-2-2−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52000000000000000000000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ2522222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2622222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ2722222222-1-2-2-2-222-1-1-1-1-1-1-12222222222222211111111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2822222222-1-2-2-2-222-1-1-1-1-1-1-12222222222222211111111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ29222-22-2-2-220000222-22-2-2-222-22-222-222-2-2-2-2-20000000022000000002-2-22-2-222-222-2-2-200000000000000002-22-2000022-2-222-2-200000000000000000000000000000000
χ30222-22-2-2-220000222-22-2-2-222-22-222-222-2-2-2-2-20000000022000000002-2-22-2-222-222-2-2-20000000000000000-22-220000-2-222-2-22200000000000000000000000000000000
χ31222-22-2-2-2-1000022-11-1111-12-22-222-222-2-2-2-2-233−3−333−3−3-1-100000000-111-111-1-11-1-111133−3−333−3−333−3−333−3−32-22-20000-1-111-1-11133−3−333−3−3000000000000000000000000
χ32222-22-2-2-2-1000022-11-1111-12-22-222-222-2-2-2-2-233−3−333−3−3-1-100000000-111-111-1-11-1-111133−3−333−3−333−3−333−3−3-22-22000011-1-111-1-1−3−333−3−333000000000000000000000000
χ33222-22-2-2-2-1000022-11-1111-12-22-222-222-2-2-2-2-2−3−333−3−333-1-100000000-111-111-1-11-1-1111−3−333−3−333−3−333−3−3332-22-20000-1-111-1-111−3−333−3−333000000000000000000000000
χ34222-22-2-2-2-1000022-11-1111-12-22-222-222-2-2-2-2-2−3−333−3−333-1-100000000-111-111-1-11-1-1111−3−333−3−333−3−333−3−333-22-22000011-1-111-1-133−3−333−3−3000000000000000000000000
χ3522-22-2-2-2220000222-2-222-2-22-22-2-2-22-2-22-2-2220000000022000000002-2-22-2-2-2-22-2-222200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ3622-22-2-2-2220000222-2-222-2-22-22-2-2-22-2-22-2-2220000000022000000002-2-22-2-2-2-22-2-22220000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ3722-22-2-2-22-1000022-111-1-1112-22-2-2-22-2-22-2-222−i3−i3i3i3i3i3−i3−i3-1-100000000-111-11111-111-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32i−2i−2i2i0000−i−iiiii−i−i−3−33333−3−3000000000000000000000000
χ3822-22-2-2-22-1000022-111-1-1112-22-2-2-22-2-22-2-222−i3−i3i3i3i3i3−i3−i3-1-100000000-111-11111-111-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−2i2i2i−2i0000ii−i−i−i−iii33−3−3−3−333000000000000000000000000
χ3922-22-2-2-22-1000022-111-1-1112-22-2-2-22-2-22-2-222i3i3−i3−i3−i3−i3i3i3-1-100000000-111-11111-111-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32i−2i−2i2i0000−i−iiiii−i−i33−3−3−3−333000000000000000000000000
χ4022-22-2-2-22-1000022-111-1-1112-22-2-2-22-2-22-2-222i3i3−i3−i3−i3−i3i3i3-1-100000000-111-11111-111-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−2i2i2i−2i0000ii−i−i−i−iii−3−33333−3−3000000000000000000000000
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χ1134-444-4-44-440000−1−5−1+5-444-44-4-41+5−1−51−5−1+5−1−51+51+5−1+51−51−51+51−5−1−5−1+500000000−1−5−1+5000000001+5−1−51+51−5−1+51−5−1−51+51+5−1+51−51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1144-444-4-44-440000−1+5−1−5-444-44-4-41−5−1+51+5−1−5−1+51−51−5−1−51+51+51−51+5−1+5−1−500000000−1+5−1−5000000001−5−1+51−51+5−1−51+5−1+51−51−5−1−51+51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000
χ1154-444-4-44-4-20000−1−5−1+52-2-22-2221+5−1−51−5−1+5−1−51+51+5−1+51−51−51+51−5−1−5−1+5−2i32i3−2i32i3−2i32i3−2i32i31+521−5200000000−1−521+52−1−52−1+521−52−1+521+52−1−52−1−521−52−1+52−1+521+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000
χ1164-444-4-44-4-20000−1−5−1+52-2-22-2221+5−1−51−5−1+5−1−51+51+5−1+51−51−51+51−5−1−5−1+52i3−2i32i3−2i32i3−2i32i3−2i31+521−5200000000−1−521+52−1−52−1+521−52−1+521+52−1−52−1−521−52−1+52−1+521+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000
χ1174-444-4-44-4-20000−1+5−1−52-2-22-2221−5−1+51+5−1−5−1+51−51−5−1−51+51+51−51+5−1+5−1−5−2i32i3−2i32i3−2i32i3−2i32i31−521+5200000000−1+521−52−1+52−1−521+52−1−521−52−1+52−1+521+52−1−52−1−521−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000
χ1184-444-4-44-4-20000−1+5−1−52-2-22-2221−5−1+51+5−1−5−1+51−51−5−1−51+51+51−51+5−1+5−1−52i3−2i32i3−2i32i3−2i32i3−2i31−521+5200000000−1+521−52−1+52−1−521+52−1−521−52−1+52−1+521+52−1−52−1−521−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000
χ1194-44-4-44-44-24i−4i4i−4i−1−5−1+522-2-22-221+51+51−51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−5−2i2i2i−2i−2i2i2i−2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−52−1−521+52−1+52−1+521−521+52−1−521+521−52−1+521−52−1−52−1+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+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+ζ47000000000000000000000000000000000000000000000000
χ1204-44-4-44-44-24i−4i4i−4i−1+5−1−522-2-22-221−51−51+51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+5−2i2i2i−2i−2i2i2i−2i1−521+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+2ζ59−1+52−1+521−52−1−52−1−521+521−52−1+521−521+52−1−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+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+ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000000000000000000000000000000
χ1214-44-4-44-44-2−4i4i−4i4i−1−5−1+522-2-22-221+51+51−51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−52i−2i−2i2i2i−2i−2i2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1−521+52−1+52−1+521−521+52−1−521+521−52−1+521−52−1−52−1+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−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−ζ47000000000000000000000000000000000000000000000000
χ1224-44-4-44-44-2−4i4i−4i4i−1+5−1−522-2-22-221−51−51+51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+52i−2i−2i2i2i−2i−2i2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1+521−52−1−52−1−521+521−52−1+521−521+52−1−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−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−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000000000000000000000000000000
χ1234-4-4444-4-4-24-4-44−1−5−1+52222-2-2-21+51+51−51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+5-222-22-2-221+521−52−1−51+5−1+51−51+5−1−51−5−1+5−1−52−1−521+52−1+52−1+521−52−1−521+52−1−52−1+521−52−1+521+521−521+52−1−52−1−521+521−52−1+52−1+521−52−1−521+521+52−1−52−1+521−521−52−1+52000000000000000000000000000000000000000000000000
χ1244-4-4444-4-4-24-4-44−1+5−1−52222-2-2-21−51−51+51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−5-222-22-2-221−521+52−1+51−5−1−51+51−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+52−1+521−52−1+52−1−521+52−1−521−521+521−52−1+52−1+521−521+52−1−52−1−521+52−1+521−521−52−1+52−1−521+521+52−1−52000000000000000000000000000000000000000000000000
χ1254-4-4444-4-4-2-444-4−1−5−1+52222-2-2-21+51+51−51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+52-2-22-222-21+521−521+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1−521+52−1+52−1+521−52−1−521+52−1−52−1+521−52−1+521+521−52−1−521+521+52−1−52−1+521−521−52−1+521+52−1−52−1−521+521−52−1+52−1+521−52000000000000000000000000000000000000000000000000
χ1264-4-4444-4-4-2-444-4−1+5−1−52222-2-2-21−51−51+51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−52-2-22-222-21−521+521−5−1+51+5−1−5−1+51−5−1−51+5−1+52−1+521−52−1−52−1−521+52−1+521−52−1+52−1−521+52−1−521−521+52−1+521−521−52−1+52−1−521+521+52−1−521−52−1+52−1+521−521+52−1−52−1−521+52000000000000000000000000000000000000000000000000
χ1274-4-4-44-44440000−1−5−1+5-44-44-4-441+5−1−51−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−500000000−1−5−1+5000000001+5−1−51+51−5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000
χ1284-4-4-44-44440000−1+5−1−5-44-44-4-441−5−1+51+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+500000000−1+5−1−5000000001−5−1+51−51+5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-44-444-20000−1−5−1+52-22-222-21+5−1−51−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−523−2323−23−2323−23231+521−5200000000−1−521+52−1−52−1+521−52−1+52−1−521+521+52−1+521−521−52−1−52−1+52−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+ζ47ζ11−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−ζ47000000000000000000000000000000000000000000000000
χ1304-4-4-44-444-20000−1−5−1+52-22-222-21+5−1−51−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−5−2323−232323−2323−231+521−5200000000−1−521+52−1−52−1+521−52−1+52−1−521+521+52−1+521−521−52−1−52−1+52ζ11−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−ζ47−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+ζ47000000000000000000000000000000000000000000000000
χ1314-4-4-44-444-20000−1+5−1−52-22-222-21−5−1+51+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+523−2323−23−2323−23231−521+5200000000−1+521−52−1+52−1−521+52−1−52−1+521−521−52−1−521+521+52−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000000000000000
χ1324-4-4-44-444-20000−1+5−1−52-22-222-21−5−1+51+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+5−2323−232323−2323−231−521+5200000000−1+521−52−1+52−1−521+52−1−52−1+521−521−52−1−521+521+52−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000000000000000

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