Finite Group Databasebeta

← Group #13086187

Character table — Group #13086187

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444666666888888881010101010101212121212121212121212121212121212121212121212121212122020202020203030303030303636363636606060180
order1222335566666610101010101036661515151530303030303030303030303044121212121515303030303030441212121226610101010202020203030303030303030606060606060606012121212121244121212122101010102662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ9222222−1−52−1+52222222−1−52−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000002−1−52−1−52−1+52−1+520000
χ10222222−1−52−1+52222222−1−52−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000-2-2-21+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+52000000000000-21+521+521−521−520000
χ11222222−1−52−1+52222222−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000-21+521+521−521−520000
χ12222222−1−52−1+52222222−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000002−1−52−1−52−1+52−1+520000
χ13222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000002−1+52−1+52−1−52−1−520000
χ14222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52000000000000-21−521−521+521+520000
χ15222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000-21−521−521+521+520000
χ16222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000002−1+52−1+52−1−52−1−520000
χ1722222-122-1-122-12222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-12222222-1-122220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1000000000002-1-10
χ1822222-122-1-122-12222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1222222-211-2-2-2-200001111111100000000-1-1-1-1-1-100000000000-2110
χ1922222-122-1-122-12222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1-2-2-2-2-2-22-1-122220000-1-1-1-1-1-1-1-10000000011111100000000000-2110
χ2022222-122-1-122-12222222-1-1-1-122-1-12222-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-2-2-200001111111100000000111111000000000002-1-10
χ212222-122222-1-12-1222222-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000222200000000-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000000
χ222222-122222-1-12-1222222-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000222200000000-1-1-1-1-1-1-1-1-2-21111-2-21111000000000
χ232222-122222-1-12-1222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-21111-1-1-1-1-1-1-1-122-1-1-1-10000000-2-2-2-2000000001111111122-1-1-1-1-2-21111000000000
χ242222-122222-1-12-1222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-21111-1-1-1-1-1-1-1-1-2-211110000000-2-2-2-20000000011111111-2-2111122-1-1-1-1000000000
χ2522-2-222222-22-2-2-2-2-2-2-22222-2-22222-2-2-2-22-2-22-2-2222-222-2-2222-2-22-2-200000000000002-22-20000000022-2-222-2-2000000000000000000000
χ2622-2-222222-22-2-2-2-2-2-2-22222-2-22222-2-2-2-22-2-22-2-222-22-2-222222-2-22-2-20000000000000-22-2200000000-2-222-2-222000000000000000000000
χ2722-2-222−1−52−1+522-22-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+522-222-2-2−1−52−1+52−1−521+521+52−1+521−521−52000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−521+52−1+521−52−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+ζ58−1−52−1−521+521+52−1+52−1+521−521−520000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ2822-2-222−1−52−1+522-22-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+522-222-2-2−1−52−1+52−1−521+521+52−1+521−521−52000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−521+52−1+521−52ζ14−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−ζ58−1−52−1−521+521+52−1+52−1+521−521−520000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ2922-2-222−1−52−1+522-22-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-22-2-222−1−52−1+52−1−521+521+52−1+521−521−52000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+52−1−521−52−1+52−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+ζ581+521+52−1−52−1−521−521−52−1+52−1+520000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ3022-2-222−1−52−1+522-22-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-22-2-222−1−52−1+52−1−521+521+52−1+521−521−52000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+52−1−521−52−1+52ζ14−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−ζ581+521+52−1−52−1−521−521−52−1+52−1+520000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ3122-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−522-222-2-2−1+52−1−52−1+521−521−52−1−521+521+52000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+521−52−1−521+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+ζ46−1+52−1+521−521−52−1−52−1−521+521+520000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ3222-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−522-222-2-2−1+52−1−52−1+521−521−52−1−521+521+52000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+521−52−1−521+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−ζ46−1+52−1+521−521−52−1−52−1−521+521+520000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ3322-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52-22-2-222−1+52−1−52−1+521−521−52−1−521+521+52000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−52−1+521+52−1−52ζ2+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+ζ461−521−52−1+52−1+521+521+52−1−52−1−520000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ3422-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52-22-2-222−1+52−1−52−1+521−521−52−1−521+521+52000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−52−1+521+52−1−52−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−ζ461−521−52−1+52−1+521+521+52−1−52−1−520000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ3522-2-2-12222-2-11-21-2-2-2-222-1-111-1-12211112-2-22-2-2-1-12-2-1-111-1-1-111-1110033−3−300000002-22-200000000-1-111-1-1110033−3−30033−3−3000000000
χ3622-2-2-12222-2-11-21-2-2-2-222-1-111-1-12211112-2-22-2-2-1-12-2-1-111-1-1-111-11100−3−33300000002-22-200000000-1-111-1-11100−3−33300−3−333000000000
χ3722-2-2-12222-2-11-21-2-2-2-222-1-111-1-12211112-2-22-2-2-1-1-2211-1-1-1-1-111-1110033−3−30000000-22-220000000011-1-111-1-10033−3−300−3−333000000000
χ3822-2-2-12222-2-11-21-2-2-2-222-1-111-1-12211112-2-22-2-2-1-1-2211-1-1-1-1-111-11100−3−3330000000-22-220000000011-1-111-1-100−3−3330033−3−3000000000
χ392-22-22222-2-2-222-22-22-2-2-22-2-2222222-22-2-22-2-22-2-2-200000022-22-2-22-22-22-22-20000000000000000000000000002-22-22-2000000000000000
χ402-22-22222-2-2-222-22-22-2-2-22-2-2222222-22-2-22-2-22-2-2-200000022-22-2-22-2-22-22-22000000000000000000000000000-22-22-22000000000000000
χ412-22-22-12211-22-1-22-22-2-2-2-111-122-1-12-22-21-111-11-2-2000000-1-11-111-112-22-22-20−i3i300000000−i3i3−i3i3−i3i3−i3i300000000-11-11-11000000000000−i3i30
χ422-22-22-12211-22-1-22-22-2-2-2-111-122-1-12-22-21-111-11-2-2000000-1-11-111-112-22-22-20i3−i300000000i3−i3i3−i3i3−i3i3−i300000000-11-11-11000000000000i3−i30
χ432-22-22-12211-22-1-22-22-2-2-2-111-122-1-12-22-21-111-11-2-2000000-1-11-111-11-22-22-220−i3i300000000−i3i3−i3i3−i3i3−i3i3000000001-11-11-1000000000000i3−i30
χ442-22-22-12211-22-1-22-22-2-2-2-111-122-1-12-22-21-111-11-2-2000000-1-11-111-11-22-22-220i3−i300000000i3−i3i3−i3i3−i3i3−i3000000001-11-11-1000000000000−i3i30
χ452-22-2-1222-2-21-1212-22-2-2-2-111-1-1-122-11-11-22-2-22-211003−33−3-1-11-111-112-2-11-1100000000000000000003−33−33−33−32-2-11-11003−33−3000000000
χ462-22-2-1222-2-21-1212-22-2-2-2-111-1-1-122-11-11-22-2-22-211003−33−3-1-11-111-11-221-11-100000000000000000003−33−33−33−3-221-11-100−33−33000000000
χ472-22-2-1222-2-21-1212-22-2-2-2-111-1-1-122-11-11-22-2-22-21100−33−33-1-11-111-112-2-11-110000000000000000000−33−33−33−332-2-11-1100−33−33000000000
χ482-22-2-1222-2-21-1212-22-2-2-2-111-1-1-122-11-11-22-2-22-21100−33−33-1-11-111-11-221-11-10000000000000000000−33−33−33−33-221-11-1003−33−3000000000
χ492-2-222222-22-2-2-22-22-22-2-22-22-22222-22-22-2-22-2-22-2-200000022-2-22-2-220000000000000000000000000000000000000002-22-2-22000000000
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χ1004-4-44-2-2442-2222-2-44-44-4-41-11-1-2-2-2-22-22-222-222-22200000011-1-11-1-1100−232323−23000000000000000000000000000003−3−33000000000000000
χ1018888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2−25−2+25−2+25−2−25−2+2522221+51−51+51−51+51+51−51−51+51+51+51−51−51−51+51−5000000−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000
χ1028888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2+25−2−25−2−25−2+25−2−2522221−51+51−51+51−51−51+51+51−51−51−51+51+51+51−51+5000000−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4−2−25−2+25-44-44442+252+252−252−25−2−25−2+2522-2-21+51−51+51−5−1−5−1−5−1+5−1+51+5−1−5−1−51−5−1+5−1+51+51−5000000−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−25-44-44442−252−252+252+25−2+25−2−2522-2-21−51+51−51+5−1+5−1+5−1−5−1−51−5−1+5−1+51+5−1−5−1−51−51+5000000−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+25444-4-44−2−252+25−2+252−252+252−252-2-221+51−51+51−51+5−1−51−5−1+5−1−51+5−1−5−1+51−5−1+5−1−5−1+5000000−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4−2+25−2−25444-4-44−2+252−25−2−252+252−252+252-2-221−51+51−51+51−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−5−1+5−1−5000000−1+52−1−521−52−1+521−521+52−1−521+52000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4−2−25−2+254-4444-42+25−2−252−25−2+252+252−252-22-21+51−51+51−5−1−51+5−1+51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+5000000−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−254-4444-42−25−2+252+25−2−252−252+252-22-21−51+51−51+5−1+51−5−1−51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−5000000−1+52−1−521−521−52−1+521+521+52−1−52000000000000000000000000000000000000000000000000000000

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