Finite Group Databasebeta

← Group #11748708

Character table — Group #11748708

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222222222444444444444444444444444444444444444444444444466661010101012121212121212121212121212121212121220202020202020202020303030306060
order122222223556666666101010101010101010101010101044121212121515202020202020202030303030303030303030303030306060606060606060606060606060606044444444442020202020202020202020202020202022666612121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ911-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−ii−i1111-1-1-1-1iiii−i−i−i−i1-111-1-1ii−i−iii−i−i1-1
χ1011-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iiii−i1111-1-1-1-1iiii−i−i−i−i-11-1-111−i−iii−i−iii-11
χ1111-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i−ii-1-1-1-11111−i−i−i−iiiii1-111-1-1ii−i−i−i−iii-11
χ1211-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−i11iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii−ii-1-1-1-11111−i−i−i−iiiii-11-1-111−i−iiiii−i−i1-1
χ1311-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i−ii1111-1-1-1-1−i−i−i−iiiii-11-1-111ii−i−iii−i−i-11
χ1411-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii−ii1111-1-1-1-1−i−i−i−iiiii1-111-1-1−i−iii−i−iii1-1
χ1511-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−ii−i-1-1-1-11111iiii−i−i−i−i-11-1-111ii−i−i−i−iii1-1
χ1611-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii11−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iiii−i-1-1-1-11111iiii−i−i−i−i1-111-1-1−i−iiiii−i−i-11
χ17222222222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ18222222222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ19222222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+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+521−521−521−521−5222220000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ20222222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+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+521−521−521−521−52-2-2-2-20000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ21222222222−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ22222222222−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ23222222222−1+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+52−1−52-2-2-2-2-2-2−1+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+5222220000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ24222222222−1+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+52−1−52-2-2-2-2-2-2−1+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+52-2-2-2-20000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2522222222-122-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-122-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000000000-2-211111111000000
χ2722222222-122-1-1-1-1-1-1-122222222222222-2-21111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100002222000000000000000000-2-21111-1-1-1-1000000
χ2822222222-122-1-1-1-1-1-1-122222222222222-2-21111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-2-2-200000000000000000022-1-1-1-11111000000
χ29222-2-22-2-22222-2-22-2-222-22-22-22-2-2-2-2-22200000022000000002-2-22-2-222-222-2-2-200000000000000002i−2i2i−2i0000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ30222-2-22-2-22222-2-22-2-222-22-22-22-2-2-2-2-22200000022000000002-2-22-2-222-222-2-2-20000000000000000−2i2i−2i2i000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ31222-2-22-2-22−1−52−1+522-2-22-2-22−1−521+52−1+521−52−1−521+52−1+521−521+521−521+521−52−1−52−1+52000000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+521+52−1+521−521−52−1−52−1−521+52−1+52−1+521−521+521−52−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−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−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000000000
χ32222-2-22-2-22−1−52−1+522-2-22-2-22−1−521+52−1+521−52−1−521+52−1+521−521+521−521+521−52−1−52−1+52000000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+521+52−1+521−521−52−1−52−1−521+52−1+52−1+521−521+521−52−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−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−ζ47−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000000000000
χ33222-2-22-2-22−1−52−1+522-2-22-2-22−1−521+52−1+521−52−1−521+52−1+521−521+521−521+521−52−1−52−1+52000000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+521+52−1+521−521−52−1−52−1−521+52−1+52−1+521−521+521−52ζ11−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+ζ47ζ11−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−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000000000000
χ34222-2-22-2-22−1−52−1+522-2-22-2-22−1−521+52−1+521−52−1−521+52−1+521−521+521−521+521−52−1−52−1+52000000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+521+52−1+521−521−52−1−52−1−521+52−1+52−1+521−521+521−52ζ11−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+ζ47ζ11−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+ζ47−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000000000
χ35222-2-22-2-22−1+52−1−522-2-22-2-22−1+521−52−1−521+52−1+521−52−1−521+521−521+521−521+52−1+52−1−52000000−1+52−1−52ζ7−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+ζ59−1+521−521−52−1−521+521+52−1+52−1+521−52−1−52−1−521+521−521+52ζ7−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+ζ59ζ7−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−2i2i−2i000000−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+ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000000000
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χ1034-44-4-4-4444−1+5−1−5-4-4444-4-41−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+5000000−1+5−1−5000000001−51−5−1+51+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+50000000000000000000000000000000000000000000000000000000000
χ1044-44-4-4-444-2−1−5−1+522-2-2-2221+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+51−50023−2323−231+521−5200000000−1−52−1−521+52−1+52−1+521−521+52−1−521+521−52−1+521−52−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−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+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000000000000000
χ1054-44-4-4-444-2−1−5−1+522-2-2-2221+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+51−500−2323−23231+521−5200000000−1−52−1−521+52−1+52−1+521−521+52−1−521+521−52−1+521−52−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+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−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000000000000000
χ1064-44-4-4-444-2−1+5−1−522-2-2-2221−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+50023−2323−231−521+5200000000−1+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+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+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+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000000000
χ1074-44-4-4-444-2−1+5−1−522-2-2-2221−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+500−2323−23231−521+5200000000−1+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−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−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−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000000000
χ1084-4-44-444-44−1−5−1+5-4-44-4-4441+5−1−51−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5000000−1−5−1+5000000001+51+5−1−51−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000
χ1094-4-44-444-44−1+5−1−5-4-44-4-4441−5−1+51+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5000000−1+5−1−5000000001−51−5−1+51+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000
χ1104-4-44-444-4-2−1−5−1+522-222-2-21+5−1−51−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+500−2i32i32i3−2i31+521−5200000000−1−52−1−521+52−1+52−1+521−52−1−521+52−1−52−1+521−52−1+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+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−ζ58000000000000000000000000000000000000000000
χ1114-4-44-444-4-2−1−5−1+522-222-2-21+5−1−51−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5002i3−2i3−2i32i31+521−5200000000−1−52−1−521+52−1+52−1+521−52−1−521+52−1−52−1+521−52−1+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−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+ζ58000000000000000000000000000000000000000000
χ1124-4-44-444-4-2−1+5−1−522-222-2-21−5−1+51+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−500−2i32i32i3−2i31−521+5200000000−1+52−1+521−52−1−52−1−521+52−1+521−52−1+52−1−521+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+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−ζ46000000000000000000000000000000000000000000
χ1134-4-44-444-4-2−1+5−1−522-222-2-21−5−1+51+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5002i3−2i3−2i32i31−521+5200000000−1+52−1+521−52−1−52−1−521+52−1+521−52−1+52−1−521+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−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+ζ46000000000000000000000000000000000000000000
χ1144-4-4-444-444−1−5−1+5-44-4-44-441+51+51−51−51+5−1−51−5−1+51+51−5−1−5−1+5−1−5−1+5000000−1−5−1+5000000001+5−1−51+51−5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−50000000000000000000000000000000000000000000000000000000000
χ1154-4-4-444-444−1+5−1−5-44-4-44-441−51−51+51+51−5−1+51+5−1−51−51+5−1+5−1−5−1+5−1−5000000−1+5−1−5000000001−5−1+51−51+5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+50000000000000000000000000000000000000000000000000000000000
χ1164-4-4-444-44-2442-222-22-2-4-4-4-4-44-44-4-44444000000-2-2000000002-222-222-2-22-2-2220000000000000000000000000000000000000000000000000000000000
χ1174-4-4-444-44-2−1−5−1+52-222-22-21+51+51−51−51+5−1−51−5−1+51+51−5−1−5−1+5−1−5−1+50000001+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+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+ζ47000000000000000000000000000000000000000000
χ1184-4-4-444-44-2−1−5−1+52-222-22-21+51+51−51−51+5−1−51−5−1+51+51−5−1−5−1+5−1−5−1+50000001+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−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−ζ47000000000000000000000000000000000000000000
χ1194-4-4-444-44-2−1+5−1−52-222-22-21−51−51+51+51−5−1+51+5−1−51−51+5−1+5−1−5−1+5−1−50000001−521+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−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+ζ59000000000000000000000000000000000000000000
χ1204-4-4-444-44-2−1+5−1−52-222-22-21−51−51+51+51−5−1+51+5−1−51−51+5−1+5−1−5−1+5−1−50000001−521+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+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−ζ59000000000000000000000000000000000000000000

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