Finite Group Databasebeta

← Group #13087778

Character table — Group #13087778

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444418183030303036363636363636363660606060606060606060
order12223355666666101010101010236666666666610101010151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030304444442101010102020202022666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-111
χ511111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-11111
χ611111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-11-1-11111-1-1
χ811111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-111-1-1-1-111
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+52220000-21−521−521+521+52−1+52−1+52−1−52−1−520000000000
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+52-2-200002−1+52−1+52−1−52−1−521−521−521+521+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52220000-21+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-200002−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ1722222-12222-1-12-12222222-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000000000200-1-100-1-1
χ1822222-12222-1-12-12222222-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000000000-200110011
χ1922222-12222-1-12-1222222-2-1-2-211-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000220000000000-2001100-1-1
χ2022222-12222-1-12-1222222-2-1-2-211-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-20000000000200-1-10011
χ212222-1222-1-122-122222222-1-1-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220000000000020-1-100-1-100
χ222222-1222-1-122-122222222-1-1-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200000000000-2011001100
χ232222-1222-1-122-12222222-2-111-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111002200000000000-201100-1-100
χ242222-1222-1-122-12222222-2-111-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100-2-20000000000020-1-1001100
χ2522-2-222222-22-2-2-2-2-2-2-2220200002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-2000000000000000000000000000000002-20000000002-22-20000000000
χ2622-2-222222-22-2-2-2-2-2-2-2220200002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-200000000000000000000000000000000-22000000000-22-220000000000
χ2722-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−520200002-2-20000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ142-200000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+521−52−1−521+520000000000
χ2822-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−520200002-2-20000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14-2200000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ141−52−1+521+52−1−520000000000
χ2922-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−520200002-2-20000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ142-200000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+521−52−1−521+520000000000
χ3022-2-222−1+52−1−522-22-2-2-21−521−521+521+52−1+52−1−520200002-2-20000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14-2200000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ141−52−1+521+52−1−520000000000
χ3122-2-222−1−52−1+522-22-2-2-21+521+521−521−52−1−52−1+520200002-2-20000−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ13ζ2+ζ7−ζ8−ζ132-200000−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−1−521+52−1+521−520000000000
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χ1194-4-44-2-2−1+5−1−5222-2-221−5−1+51+5−1−51−51+5012i3−2i300-1-11−i3i3−i3i300001−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+521−52−1+52−1+521−52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−521+52−1−52−1−521+522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ2+ζ7ζ8−ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ4−ζ14−ζ+ζ11ζ−ζ11−ζ4+ζ14ζ−ζ11−ζ4+ζ14ζ4−ζ14−ζ+ζ110000000000000000000000000
χ1204-4-44-2-2−1+5−1−5222-2-221−5−1+51+5−1−51−51+5012i3−2i300-1-11−i3i3−i3i300001−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+521−52−1+52−1+521−522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−521+52−1−52−1−521+52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ2+ζ7ζ8−ζ13−ζ2+ζ7ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ11−ζ4+ζ14ζ4−ζ14−ζ+ζ11ζ4−ζ14−ζ+ζ11ζ−ζ11−ζ4+ζ140000000000000000000000000
χ1214-4-44-2-2−1+5−1−5222-2-221−5−1+51+5−1−51−51+501−2i32i300-1-11i3−i3i3−i300001−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+521−52−1+52−1+521−52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−521+52−1−52−1−521+522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ2+ζ7ζ8−ζ13−ζ2+ζ7ζ2−ζ7−ζ8+ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ4+ζ14ζ−ζ11−ζ+ζ11ζ4−ζ14−ζ+ζ11ζ4−ζ14−ζ4+ζ14ζ−ζ110000000000000000000000000
χ1224-4-44-2-2−1+5−1−5222-2-221−5−1+51+5−1−51−51+501−2i32i300-1-11i3−i3i3−i300001−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+521−52−1+52−1+521−522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−521+52−1−52−1−521+52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ2+ζ7ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ2+ζ7ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ11ζ4−ζ14−ζ4+ζ14ζ−ζ11−ζ4+ζ14ζ−ζ11−ζ+ζ11ζ4−ζ140000000000000000000000000
χ1234-4-44-2-2−1−5−1+5222-2-221+5−1−51−5−1+51+51−5012i3−2i300-1-11−i3i3−i3i300001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−521+52−1−52−1−521+522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+521−52−1+52−1+521−522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ4−ζ14−ζ+ζ11ζ−ζ11−ζ4+ζ14ζ−ζ11−ζ4+ζ14ζ4−ζ14−ζ+ζ11ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ2+ζ7ζ8−ζ13−ζ2+ζ7ζ8−ζ13−ζ8+ζ13ζ2−ζ70000000000000000000000000
χ1244-4-44-2-2−1−5−1+5222-2-221+5−1−51−5−1+51+51−5012i3−2i300-1-11−i3i3−i3i300001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−521+52−1−52−1−521+52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+521−52−1+52−1+521−52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ11−ζ4+ζ14ζ4−ζ14−ζ+ζ11ζ4−ζ14−ζ+ζ11ζ−ζ11−ζ4+ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ2+ζ7ζ8−ζ130000000000000000000000000
χ1254-4-44-2-2−1−5−1+5222-2-221+5−1−51−5−1+51+51−501−2i32i300-1-11i3−i3i3−i300001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−521+52−1−52−1−521+522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+521−52−1+52−1+521−522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ4+ζ14ζ−ζ11−ζ+ζ11ζ4−ζ14−ζ+ζ11ζ4−ζ14−ζ4+ζ14ζ−ζ11−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ2+ζ7ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ2+ζ70000000000000000000000000
χ1264-4-44-2-2−1−5−1+5222-2-221+5−1−51−5−1+51+51−501−2i32i300-1-11i3−i3i3−i300001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−521+52−1−52−1−521+52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+521−52−1+52−1+521−52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ11ζ4−ζ14−ζ4+ζ14ζ−ζ11−ζ4+ζ14ζ−ζ11−ζ+ζ11ζ4−ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ2+ζ7ζ8−ζ13−ζ2+ζ7ζ2−ζ7−ζ8+ζ130000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.