Finite Group Databasebeta

← Group #13087757

Character table — Group #13087757

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444418183030303036363636363636363660606060606060606060
order122233556666661010101010102366666666666101010101515151515151515303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303044444442020202020202020441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111
χ511111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ711111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111-111-1-1-1-111
χ811111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-11111-1-1
χ9222222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+522222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ10222222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+522222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-20000-21+521+521−521−521+521+521−521−520000000000
χ11222222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-2222-2-2-2-21+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+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52220000-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ12222222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-2222-2-2-2-21+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+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-2000021+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ13222222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−522222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ14222222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−522222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-20000-21−521−521+521+521−521−521+521+520000000000
χ15222222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-2222-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52220000-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ16222222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-2222-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52-2-2000021−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ1722222-1222-122-1-12222222-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022000000000200000-1-1-1-1
χ1822222-1222-122-1-12222222-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000000000-2000001111
χ1922222-1222-122-1-1222222-2-1-2-211-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022000000000-200000-1-111
χ2022222-1222-122-1-1222222-2-1-2-211-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-200000000020000011-1-1
χ212222-1222-12-1-1222222222-1-1-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220000000000002-1-1-1-10000
χ222222-1222-12-1-1222222222-1-1-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000000000000-211110000
χ232222-1222-12-1-122222222-2-111-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110022000000000000-2-1-1110000
χ242222-1222-12-1-122222222-2-111-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100-2-2000000000000211-1-10000
χ2522-2-222222-2-2-22-2-2-22-22-20200002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-200000000000000000000000000000000002i−2i00000000000002i−2i000000
χ2622-2-222222-2-2-22-2-2-22-22-20200002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-20000000000000000000000000000000000−2i2i0000000000000−2i2i000000
χ2722-2-2-1222-1-2112-2-2-22-22-20-1−i3i300-111−i3−i3i3i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3002i−2i0000000000000−ii3−30000
χ2822-2-2-1222-1-2112-2-2-22-22-20-1−i3i300-111−i3−i3i3i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300−2i2i0000000000000i−i−330000
χ2922-2-2-1222-1-2112-2-2-22-22-20-1i3−i300-111i3i3−i3−i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002i−2i0000000000000−ii−330000
χ3022-2-2-1222-1-2112-2-2-22-22-20-1i3−i300-111i3i3−i3−i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−2i2i0000000000000i−i3−30000
χ312-22-22222-222-2-2-2-2-2-22-22020000-22-20000000022222222-22-2-22-2-2-222-2-2-22-2-22-2-2-222-2-20000000000000000000000000000000000002i−2i0000000000000002i−2i00
χ322-22-22222-222-2-2-2-2-2-22-22020000-22-20000000022222222-22-2-22-2-2-222-2-2-22-2-22-2-2-222-2-2000000000000000000000000000000000000−2i2i000000000000000−2i2i00
χ332-22-22-122-2-12-211-2-2-22-220-100−i3i31-11−i3i3−i3i300002-1-1-12-1-1-1-22-21-1111-1-111-22-21-1111-1-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i000000000000000−ii3−3
χ342-22-22-122-2-12-211-2-2-22-220-100−i3i31-11−i3i3−i3i300002-1-1-12-1-1-1-22-21-1111-1-111-22-21-1111-1-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i000000000000000i−i−33
χ352-22-22-122-2-12-211-2-2-22-220-100i3−i31-11i3−i3i3−i300002-1-1-12-1-1-1-22-21-1111-1-111-22-21-1111-1-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i000000000000000−ii−33
χ362-22-22-122-2-12-211-2-2-22-220-100i3−i31-11i3−i3i3−i300002-1-1-12-1-1-1-22-21-1111-1-111-22-21-1111-1-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i000000000000000i−i3−3
χ372-2-222222-2-2-22-2222-2-2-2-2020000-2-220000000022222222-2-22-2-22-2-2-2-222-2-22-2-22-2-2-2-222000000000000000000000000000000002i−2i000002i−2i2i−2i00000000000000
χ382-2-222222-2-2-22-2222-2-2-2-2020000-2-220000000022222222-2-22-2-22-2-2-2-222-2-22-2-22-2-2-2-22200000000000000000000000000000000−2i2i00000−2i2i−2i2i00000000000000
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χ1194-4-44-2-2−1−5−1+5222-22-2−1−5−1+51+51+51−51−5010000-1-113-3-33−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ580000000000000000000000000
χ1204-4-44-2-2−1−5−1+5222-22-2−1−5−1+51+51+51−51−5010000-1-113-3-332ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ580000000000000000000000000
χ1214-4-44-2-2−1−5−1+5222-22-2−1−5−1+51+51+51−51−5010000-1-11-333-3−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ580000000000000000000000000
χ1224-4-44-2-2−1−5−1+5222-22-2−1−5−1+51+51+51−51−5010000-1-11-333-32ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ580000000000000000000000000
χ1234-4-44-2-2−1+5−1−5222-22-2−1+5−1−51−51−51+51+5010000-1-113-3-332ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ460000000000000000000000000
χ1244-4-44-2-2−1+5−1−5222-22-2−1+5−1−51−51−51+51+5010000-1-113-3-33−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ460000000000000000000000000
χ1254-4-44-2-2−1+5−1−5222-22-2−1+5−1−51−51−51+51+5010000-1-11-333-32ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ58−ζ2−ζ22−2ζ38−2ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ46−ζ14−2ζ26−ζ34−2ζ46−2ζ14−ζ26−2ζ34−ζ460000000000000000000000000
χ1264-4-44-2-2−1+5−1−5222-22-2−1+5−1−51−51−51+51+5010000-1-11-333-3−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58ζ2+ζ22+2ζ38+2ζ582ζ2+2ζ22+ζ38+ζ58−2ζ2−2ζ22−ζ38−ζ58−ζ2−ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46ζ14+2ζ26+ζ34+2ζ462ζ14+ζ26+2ζ34+ζ46−2ζ14−ζ26−2ζ34−ζ46−ζ14−2ζ26−ζ34−2ζ460000000000000000000000000

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