Finite Group Databasebeta

← Group #13087654

Character table — Group #13087654

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size1122222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444436363636363636363636606060606060606060606060
order12233445566101010101010121212123666661212121212121515151515151515202020203030303030303030303030303030303030303030303030306060606060606060606060606060606060606060606060606060606060606060221010101010101010246688121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511-111-111111-1-1-1-111-1-1111-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1111-1-1-111-1-1
χ611-111-111111-1-1-1-111-1-1111-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-1-1-1111-1-111
χ711-111-111111-1-1-1-111-1-1111-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-111-11-1-1-1-111
χ811-111-111111-1-1-1-111-1-1111-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-1-11-11111-1-1
χ92222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52000000000000
χ102222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000000
χ112222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ122222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000
χ1322222-2-22222222222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ1422222-2-2−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200−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+ζ58000000000000
χ1522222-2-2−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200ζ14−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−ζ58000000000000
χ1622222-2-2−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222222-2-2-2-2-2-2−1+52−1+52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000
χ1722222-2-2−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222222-2-2-2-2-2-2−1+52−1+52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200−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−ζ46000000000000
χ182222-122222-1222222-1-122-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000022-1-100-1-10000
χ192222-122222-1222222-1-122-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-21100110000
χ202222-1-2-2222-122222211-2-2-12-1-1-1-1-2111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000−i3i300−i3i30000
χ212222-1-2-2222-122222211-2-2-12-1-1-1-1-2111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000i3−i300i3−i30000
χ22222-122222-1222222222-1-1-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000002200-1-1-1-1
χ23222-122222-1222222222-1-1-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000-2-2001111
χ24222-12-2-222-12222222-2-211-1-12-1-1-11-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000000000003−33−3
χ25222-12-2-222-12222222-2-211-1-12-1-1-11-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000−33−33
χ2622-2222-22222-2-2-2-22222-2-22-2-2-2-222-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000
χ2722-2222-2−1−52−1+52221+521+521−521−52−1−52−1+5222-2-22-2-2-2-222-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+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+52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000
χ2822-2222-2−1−52−1+52221+521+521−521−52−1−52−1+5222-2-22-2-2-2-222-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+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+52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000
χ2922-2222-2−1+52−1−52221−521−521+521+52−1+52−1−5222-2-22-2-2-2-222-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000
χ3022-2222-2−1+52−1−52221−521−521+521+52−1+52−1−5222-2-22-2-2-2-222-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000
χ3122-222-22−1−52−1+52221+521+521−521−52−1−52−1+52-2-2222-2-2-2-22-2222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ3222-222-22−1−52−1+52221+521+521−521−52−1−52−1+52-2-2222-2-2-2-22-2222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ3322-222-22−1+52−1−52221−521−521+521+52−1+52−1−52-2-2222-2-2-2-22-2222-2-2−1+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+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+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+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ3422-222-22−1+52−1−52221−521−521+521+52−1+52−1−52-2-2222-2-2-2-22-2222-2-2−1+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+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+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+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ3522-22-12-2222-1-2-2-2-222-1-1-2-2-1-2111-12111-1-12-1-1-12-1-1-1-2-222-2-2111111-2-21111112-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000−i3i300i3−i30000
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χ1194-40-2-200−1+5−1−5222ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+5−2323−23231003-3-1003−33−31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ23+ζ43ζ23−ζ43−ζ7+ζ47ζ7−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ31ζ11−ζ31−ζ19+ζ59ζ19−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ23−ζ43ζ7−ζ47−ζ7+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ11−ζ31ζ19−ζ59−ζ19+ζ590000000000000000000000
χ1204-40-2-200−1+5−1−522−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+523−2323−231003-3-100−33−331−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ47ζ7−ζ47−ζ23+ζ43ζ23−ζ43−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ19+ζ59ζ19−ζ59−ζ11+ζ31ζ11−ζ31ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ7−ζ47ζ23−ζ43−ζ23+ζ43ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ19−ζ59ζ11−ζ31−ζ11+ζ310000000000000000000000
χ1214-40-2-200−1+5−1−522−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+523−23−2323100-33-1003−3−331−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ23+ζ43ζ23−ζ43−ζ7+ζ47ζ7−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ31ζ11−ζ31−ζ19+ζ59ζ19−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ23+ζ43−ζ7+ζ47ζ7−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ11+ζ31−ζ19+ζ59ζ19−ζ590000000000000000000000
χ1224-40-2-200−1+5−1−522−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5−232323−23100-33-100−333−31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ23−ζ43−ζ23+ζ43ζ7−ζ47−ζ7+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ31−ζ11+ζ31ζ19−ζ59−ζ19+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ23−ζ43ζ7−ζ47−ζ7+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ11−ζ31ζ19−ζ59−ζ19+ζ590000000000000000000000
χ1234-40-2-200−1+5−1−522−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5−2323−23231003-3-1003−33−31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ47−ζ7+ζ47ζ23−ζ43−ζ23+ζ43ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ19−ζ59−ζ19+ζ59ζ11−ζ31−ζ11+ζ31−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ7+ζ47−ζ23+ζ43ζ23−ζ43−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ19+ζ59−ζ11+ζ31ζ11−ζ310000000000000000000000

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