Finite Group Databasebeta

← Group #11765508

Character table — Group #11765508

Order 1125.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111111515151515151515252525252525252525251111115151515151515152525252525252525252511111151515151515151525252525252525252525
order155555555555533151515151515151531515151515151515151515153315151515151515153151515151515151515151515331515151515151515
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ31111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ433333−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ14−ζ4−2ζ8−2ζ13−ζ14000000000033333−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ14−ζ4−2ζ8−2ζ13−ζ14000000000033333−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ14−ζ4−2ζ8−2ζ13−ζ140000000000
χ5333331−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−521+520000000000333331−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−521+520000000000333331−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−521+520000000000
χ6333331−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−521+520000000000333331−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−521+520000000000333331−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−521+520000000000
χ733333−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ14−2ζ−ζ8−2ζ11−ζ13000000000033333−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ14−2ζ−ζ8−2ζ11−ζ13000000000033333−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ14−2ζ−ζ8−2ζ11−ζ130000000000
χ8333331+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+521−520000000000333331+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+521−520000000000333331+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+521−520000000000
χ9333331+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+521−520000000000333331+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+521−520000000000333331+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+521−520000000000
χ1033333−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ13−ζ−2ζ2−2ζ7−ζ11000000000033333−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ13−ζ−2ζ2−2ζ7−ζ11000000000033333−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ13−ζ−2ζ2−2ζ7−ζ110000000000
χ1133333−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ11−ζ2−2ζ4−ζ7−2ζ14000000000033333−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ11−ζ2−2ζ4−ζ7−2ζ14000000000033333−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ11−ζ2−2ζ4−ζ7−2ζ140000000000
χ125−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ1400000000-1-1ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ145−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ1400000000-1-1ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ145−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ1400000000-1-1ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14
χ135−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001−i321+i32−ζ8−ζ11−ζ2−ζ14−ζ13−ζ−ζ7−ζ45−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001−i321+i32−ζ8−ζ11−ζ2−ζ14−ζ13−ζ−ζ7−ζ45−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001−i321+i32−ζ8−ζ11−ζ2−ζ14−ζ13−ζ−ζ7−ζ4
χ145−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001+i321−i32−ζ13−ζ−ζ7−ζ4−ζ8−ζ11−ζ2−ζ145−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001+i321−i32−ζ13−ζ−ζ7−ζ4−ζ8−ζ11−ζ2−ζ145−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001+i321−i32−ζ13−ζ−ζ7−ζ4−ζ8−ζ11−ζ2−ζ14
χ155−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ1300000000-1-1ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ135−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ1300000000-1-1ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ135−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ1300000000-1-1ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13
χ165−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001−i321+i32−ζ11−ζ2−ζ14−ζ8−ζ−ζ7−ζ4−ζ135−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001−i321+i32−ζ11−ζ2−ζ14−ζ8−ζ−ζ7−ζ4−ζ135−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001−i321+i32−ζ11−ζ2−ζ14−ζ8−ζ−ζ7−ζ4−ζ13
χ175−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001+i321−i32−ζ−ζ7−ζ4−ζ13−ζ11−ζ2−ζ14−ζ85−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001+i321−i32−ζ−ζ7−ζ4−ζ13−ζ11−ζ2−ζ14−ζ85−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001+i321−i32−ζ−ζ7−ζ4−ζ13−ζ11−ζ2−ζ14−ζ8
χ185−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ1100000000-1-1ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ115−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ1100000000-1-1ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ115−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ1100000000-1-1ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11
χ195−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001−i321+i32−ζ2−ζ14−ζ8−ζ11−ζ7−ζ4−ζ13−ζ5−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001−i321+i32−ζ2−ζ14−ζ8−ζ11−ζ7−ζ4−ζ13−ζ5−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001−i321+i32−ζ2−ζ14−ζ8−ζ11−ζ7−ζ4−ζ13−ζ
χ205−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001+i321−i32−ζ7−ζ4−ζ13−ζ−ζ2−ζ14−ζ8−ζ115−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001+i321−i32−ζ7−ζ4−ζ13−ζ−ζ2−ζ14−ζ8−ζ115−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001+i321−i32−ζ7−ζ4−ζ13−ζ−ζ2−ζ14−ζ8−ζ11
χ215−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ700000000-1-1ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ75−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ700000000-1-1ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ75−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ700000000-1-1ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7
χ225−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001−i321+i32−ζ14−ζ8−ζ11−ζ2−ζ4−ζ13−ζ−ζ75−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001−i321+i32−ζ14−ζ8−ζ11−ζ2−ζ4−ζ13−ζ−ζ75−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001−i321+i32−ζ14−ζ8−ζ11−ζ2−ζ4−ζ13−ζ−ζ7
χ235−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001+i321−i32−ζ4−ζ13−ζ−ζ7−ζ14−ζ8−ζ11−ζ25−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001+i321−i32−ζ4−ζ13−ζ−ζ7−ζ14−ζ8−ζ11−ζ25−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001+i321−i32−ζ4−ζ13−ζ−ζ7−ζ14−ζ8−ζ11−ζ2
χ2411111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ251111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321111−1+i32−1+i32−1+i32−1+i32
χ261111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i321111
χ2733333−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ14−ζ4−2ζ8−2ζ13−ζ140000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32ζ8+2ζ11−ζ2−ζ8−ζ2−ζ82ζ2+ζ11−ζ11−ζ14−ζ11−ζ14ζ2+2ζ142ζ8+ζ140000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i322ζ+ζ13−ζ7−ζ13−ζ7−ζ13ζ+2ζ7−ζ−ζ4−ζ−ζ42ζ4+ζ7ζ4+2ζ130000000000
χ28333331−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−521+520000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ2−ζ82ζ2+ζ112ζ8+ζ14−ζ11−ζ14ζ8+2ζ11ζ2+2ζ14−ζ2−ζ8−ζ11−ζ140000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ7−ζ13ζ+2ζ7ζ4+2ζ13−ζ−ζ42ζ+ζ132ζ4+ζ7−ζ7−ζ13−ζ−ζ40000000000
χ29333331−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−521+520000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ2−ζ82ζ8+ζ142ζ2+ζ11−ζ11−ζ14ζ2+2ζ14ζ8+2ζ11−ζ2−ζ8−ζ11−ζ140000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ7−ζ13ζ4+2ζ13ζ+2ζ7−ζ−ζ42ζ4+ζ72ζ+ζ13−ζ7−ζ13−ζ−ζ40000000000
χ3033333−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ14−2ζ−ζ8−2ζ11−ζ130000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i322ζ2+ζ11−ζ11−ζ14−ζ11−ζ14ζ2+2ζ14−ζ2−ζ8−ζ2−ζ82ζ8+ζ14ζ8+2ζ110000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32ζ+2ζ7−ζ−ζ4−ζ−ζ42ζ4+ζ7−ζ7−ζ13−ζ7−ζ13ζ4+2ζ132ζ+ζ130000000000
χ31333331+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+521−520000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ11−ζ14ζ8+2ζ11ζ2+2ζ14−ζ2−ζ82ζ8+ζ142ζ2+ζ11−ζ11−ζ14−ζ2−ζ80000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ−ζ42ζ+ζ132ζ4+ζ7−ζ7−ζ13ζ4+2ζ13ζ+2ζ7−ζ−ζ4−ζ7−ζ130000000000
χ32333331+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+521−520000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ11−ζ14ζ2+2ζ14ζ8+2ζ11−ζ2−ζ82ζ2+ζ112ζ8+ζ14−ζ11−ζ14−ζ2−ζ80000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ−ζ42ζ4+ζ72ζ+ζ13−ζ7−ζ13ζ+2ζ7ζ4+2ζ13−ζ−ζ4−ζ7−ζ130000000000
χ3333333−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ13−ζ−2ζ2−2ζ7−ζ110000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32ζ2+2ζ14−ζ2−ζ8−ζ2−ζ82ζ8+ζ14−ζ11−ζ14−ζ11−ζ14ζ8+2ζ112ζ2+ζ110000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i322ζ4+ζ7−ζ7−ζ13−ζ7−ζ13ζ4+2ζ13−ζ−ζ4−ζ−ζ42ζ+ζ13ζ+2ζ70000000000
χ3433333−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ11−ζ2−2ζ4−ζ7−2ζ140000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i322ζ8+ζ14−ζ11−ζ14−ζ11−ζ14ζ8+2ζ11−ζ2−ζ8−ζ2−ζ82ζ2+ζ11ζ2+2ζ140000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32ζ4+2ζ13−ζ−ζ4−ζ−ζ42ζ+ζ13−ζ7−ζ13−ζ7−ζ13ζ+2ζ72ζ4+ζ70000000000
χ355−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ1400000000-1-1ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−5+5i325ζ85ζ115ζ25ζ14000000001−i321−i32−ζ8−ζ11−ζ2−ζ14−ζ8−ζ11−ζ2−ζ14−5−5i325ζ135ζ5ζ75ζ4000000001+i321+i32−ζ13−ζ−ζ7−ζ4−ζ13−ζ−ζ7−ζ4
χ365−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001−i321+i32−ζ8−ζ11−ζ2−ζ14−ζ13−ζ−ζ7−ζ4−5+5i325ζ85ζ115ζ25ζ14000000001+i32-1−ζ13−ζ−ζ7−ζ4ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−5−5i325ζ135ζ5ζ75ζ400000000-11−i32ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−ζ8−ζ11−ζ2−ζ14
χ375−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001+i321−i32−ζ13−ζ−ζ7−ζ4−ζ8−ζ11−ζ2−ζ14−5+5i325ζ85ζ115ζ25ζ1400000000-11+i32ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−ζ13−ζ−ζ7−ζ4−5−5i325ζ135ζ5ζ75ζ4000000001−i32-1−ζ8−ζ11−ζ2−ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14
χ385−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ1300000000-1-1ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−5+5i325ζ115ζ25ζ145ζ8000000001−i321−i32−ζ11−ζ2−ζ14−ζ8−ζ11−ζ2−ζ14−ζ8−5−5i325ζ5ζ75ζ45ζ13000000001+i321+i32−ζ−ζ7−ζ4−ζ13−ζ−ζ7−ζ4−ζ13
χ395−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001−i321+i32−ζ11−ζ2−ζ14−ζ8−ζ−ζ7−ζ4−ζ13−5+5i325ζ115ζ25ζ145ζ8000000001+i32-1−ζ−ζ7−ζ4−ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−5−5i325ζ5ζ75ζ45ζ1300000000-11−i32ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−ζ11−ζ2−ζ14−ζ8
χ405−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001+i321−i32−ζ−ζ7−ζ4−ζ13−ζ11−ζ2−ζ14−ζ8−5+5i325ζ115ζ25ζ145ζ800000000-11+i32ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−ζ−ζ7−ζ4−ζ13−5−5i325ζ5ζ75ζ45ζ13000000001−i32-1−ζ11−ζ2−ζ14−ζ8ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13
χ415−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ1100000000-1-1ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−5+5i325ζ25ζ145ζ85ζ11000000001−i321−i32−ζ2−ζ14−ζ8−ζ11−ζ2−ζ14−ζ8−ζ11−5−5i325ζ75ζ45ζ135ζ000000001+i321+i32−ζ7−ζ4−ζ13−ζ−ζ7−ζ4−ζ13−ζ
χ425−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001−i321+i32−ζ2−ζ14−ζ8−ζ11−ζ7−ζ4−ζ13−ζ−5+5i325ζ25ζ145ζ85ζ11000000001+i32-1−ζ7−ζ4−ζ13−ζζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−5−5i325ζ75ζ45ζ135ζ00000000-11−i32ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−ζ2−ζ14−ζ8−ζ11
χ435−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001+i321−i32−ζ7−ζ4−ζ13−ζ−ζ2−ζ14−ζ8−ζ11−5+5i325ζ25ζ145ζ85ζ1100000000-11+i32ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−ζ7−ζ4−ζ13−ζ−5−5i325ζ75ζ45ζ135ζ000000001−i32-1−ζ2−ζ14−ζ8−ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11
χ445−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ700000000-1-1ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−5+5i325ζ145ζ85ζ115ζ2000000001−i321−i32−ζ14−ζ8−ζ11−ζ2−ζ14−ζ8−ζ11−ζ2−5−5i325ζ45ζ135ζ5ζ7000000001+i321+i32−ζ4−ζ13−ζ−ζ7−ζ4−ζ13−ζ−ζ7
χ455−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001−i321+i32−ζ14−ζ8−ζ11−ζ2−ζ4−ζ13−ζ−ζ7−5+5i325ζ145ζ85ζ115ζ2000000001+i32-1−ζ4−ζ13−ζ−ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−5−5i325ζ45ζ135ζ5ζ700000000-11−i32ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−ζ14−ζ8−ζ11−ζ2
χ465−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001+i321−i32−ζ4−ζ13−ζ−ζ7−ζ14−ζ8−ζ11−ζ2−5+5i325ζ145ζ85ζ115ζ200000000-11+i32ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−ζ4−ζ13−ζ−ζ7−5−5i325ζ45ζ135ζ5ζ7000000001−i32-1−ζ14−ζ8−ζ11−ζ2ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7
χ4711111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ481111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i321111
χ491111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321111−1−i32−1−i32−1−i32−1−i32
χ5033333−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ14−ζ4−2ζ8−2ζ13−ζ140000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i322ζ+ζ13−ζ7−ζ13−ζ7−ζ13ζ+2ζ7−ζ−ζ4−ζ−ζ42ζ4+ζ7ζ4+2ζ130000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32ζ8+2ζ11−ζ2−ζ8−ζ2−ζ82ζ2+ζ11−ζ11−ζ14−ζ11−ζ14ζ2+2ζ142ζ8+ζ140000000000
χ51333331−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−521+520000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ7−ζ13ζ+2ζ7ζ4+2ζ13−ζ−ζ42ζ+ζ132ζ4+ζ7−ζ7−ζ13−ζ−ζ40000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ2−ζ82ζ2+ζ112ζ8+ζ14−ζ11−ζ14ζ8+2ζ11ζ2+2ζ14−ζ2−ζ8−ζ11−ζ140000000000
χ52333331−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−521+520000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ7−ζ13ζ4+2ζ13ζ+2ζ7−ζ−ζ42ζ4+ζ72ζ+ζ13−ζ7−ζ13−ζ−ζ40000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ2−ζ82ζ8+ζ142ζ2+ζ11−ζ11−ζ14ζ2+2ζ14ζ8+2ζ11−ζ2−ζ8−ζ11−ζ140000000000
χ5333333−ζ−2ζ2−2ζ7−ζ111+521+52−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ14−2ζ−ζ8−2ζ11−ζ130000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32ζ+2ζ7−ζ−ζ4−ζ−ζ42ζ4+ζ7−ζ7−ζ13−ζ7−ζ13ζ4+2ζ132ζ+ζ130000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i322ζ2+ζ11−ζ11−ζ14−ζ11−ζ14ζ2+2ζ14−ζ2−ζ8−ζ2−ζ82ζ8+ζ14ζ8+2ζ110000000000
χ54333331+52−2ζ−ζ8−2ζ11−ζ13−ζ2−2ζ4−ζ7−2ζ141−52−ζ4−2ζ8−2ζ13−ζ14−ζ−2ζ2−2ζ7−ζ111+521−520000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ−ζ42ζ+ζ132ζ4+ζ7−ζ7−ζ13ζ4+2ζ13ζ+2ζ7−ζ−ζ4−ζ7−ζ130000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ11−ζ14ζ8+2ζ11ζ2+2ζ14−ζ2−ζ82ζ8+ζ142ζ2+ζ11−ζ11−ζ14−ζ2−ζ80000000000
χ55333331+52−ζ2−2ζ4−ζ7−2ζ14−2ζ−ζ8−2ζ11−ζ131−52−ζ−2ζ2−2ζ7−ζ11−ζ4−2ζ8−2ζ13−ζ141+521−520000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−ζ−ζ42ζ4+ζ72ζ+ζ13−ζ7−ζ13ζ+2ζ7ζ4+2ζ13−ζ−ζ4−ζ7−ζ130000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−ζ11−ζ14ζ2+2ζ14ζ8+2ζ11−ζ2−ζ82ζ2+ζ112ζ8+ζ14−ζ11−ζ14−ζ2−ζ80000000000
χ5633333−ζ2−2ζ4−ζ7−2ζ141−521−52−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ13−ζ−2ζ2−2ζ7−ζ110000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i322ζ4+ζ7−ζ7−ζ13−ζ7−ζ13ζ4+2ζ13−ζ−ζ4−ζ−ζ42ζ+ζ13ζ+2ζ70000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32ζ2+2ζ14−ζ2−ζ8−ζ2−ζ82ζ8+ζ14−ζ11−ζ14−ζ11−ζ14ζ8+2ζ112ζ2+ζ110000000000
χ5733333−ζ4−2ζ8−2ζ13−ζ141+521+52−2ζ−ζ8−2ζ11−ζ131−521−52−ζ−2ζ2−2ζ7−ζ11−ζ2−2ζ4−ζ7−2ζ140000000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32ζ4+2ζ13−ζ−ζ4−ζ−ζ42ζ+ζ13−ζ7−ζ13−ζ7−ζ13ζ+2ζ72ζ4+ζ70000000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i322ζ8+ζ14−ζ11−ζ14−ζ11−ζ14ζ8+2ζ11−ζ2−ζ8−ζ2−ζ82ζ2+ζ11ζ2+2ζ140000000000
χ585−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ1400000000-1-1ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−5−5i325ζ135ζ5ζ75ζ4000000001+i321+i32−ζ13−ζ−ζ7−ζ4−ζ13−ζ−ζ7−ζ4−5+5i325ζ85ζ115ζ25ζ14000000001−i321−i32−ζ8−ζ11−ζ2−ζ14−ζ8−ζ11−ζ2−ζ14
χ595−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001−i321+i32−ζ8−ζ11−ζ2−ζ14−ζ13−ζ−ζ7−ζ4−5−5i325ζ135ζ5ζ75ζ400000000-11−i32ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−ζ8−ζ11−ζ2−ζ14−5+5i325ζ85ζ115ζ25ζ14000000001+i32-1−ζ13−ζ−ζ7−ζ4ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14
χ605−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14000000001+i321−i32−ζ13−ζ−ζ7−ζ4−ζ8−ζ11−ζ2−ζ14−5−5i325ζ135ζ5ζ75ζ4000000001−i32-1−ζ8−ζ11−ζ2−ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−5+5i325ζ85ζ115ζ25ζ1400000000-11+i32ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14−ζ13−ζ−ζ7−ζ4
χ615−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ1300000000-1-1ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−5−5i325ζ5ζ75ζ45ζ13000000001+i321+i32−ζ−ζ7−ζ4−ζ13−ζ−ζ7−ζ4−ζ13−5+5i325ζ115ζ25ζ145ζ8000000001−i321−i32−ζ11−ζ2−ζ14−ζ8−ζ11−ζ2−ζ14−ζ8
χ625−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001−i321+i32−ζ11−ζ2−ζ14−ζ8−ζ−ζ7−ζ4−ζ13−5−5i325ζ5ζ75ζ45ζ1300000000-11−i32ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−ζ11−ζ2−ζ14−ζ8−5+5i325ζ115ζ25ζ145ζ8000000001+i32-1−ζ−ζ7−ζ4−ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13
χ635−5ζ−5ζ11−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13000000001+i321−i32−ζ−ζ7−ζ4−ζ13−ζ11−ζ2−ζ14−ζ8−5−5i325ζ5ζ75ζ45ζ13000000001−i32-1−ζ11−ζ2−ζ14−ζ8ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−5+5i325ζ115ζ25ζ145ζ800000000-11+i32ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13−ζ−ζ7−ζ4−ζ13
χ645−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ1100000000-1-1ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−5−5i325ζ75ζ45ζ135ζ000000001+i321+i32−ζ7−ζ4−ζ13−ζ−ζ7−ζ4−ζ13−ζ−5+5i325ζ25ζ145ζ85ζ11000000001−i321−i32−ζ2−ζ14−ζ8−ζ11−ζ2−ζ14−ζ8−ζ11
χ655−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001−i321+i32−ζ2−ζ14−ζ8−ζ11−ζ7−ζ4−ζ13−ζ−5−5i325ζ75ζ45ζ135ζ00000000-11−i32ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−ζ2−ζ14−ζ8−ζ11−5+5i325ζ25ζ145ζ85ζ11000000001+i32-1−ζ7−ζ4−ζ13−ζζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11
χ665−5ζ2−5ζ7−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11000000001+i321−i32−ζ7−ζ4−ζ13−ζ−ζ2−ζ14−ζ8−ζ11−5−5i325ζ75ζ45ζ135ζ000000001−i32-1−ζ2−ζ14−ζ8−ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−5+5i325ζ25ζ145ζ85ζ1100000000-11+i32ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11−ζ7−ζ4−ζ13−ζ
χ675−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ700000000-1-1ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−5−5i325ζ45ζ135ζ5ζ7000000001+i321+i32−ζ4−ζ13−ζ−ζ7−ζ4−ζ13−ζ−ζ7−5+5i325ζ145ζ85ζ115ζ2000000001−i321−i32−ζ14−ζ8−ζ11−ζ2−ζ14−ζ8−ζ11−ζ2
χ685−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001−i321+i32−ζ14−ζ8−ζ11−ζ2−ζ4−ζ13−ζ−ζ7−5−5i325ζ45ζ135ζ5ζ700000000-11−i32ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−ζ14−ζ8−ζ11−ζ2−5+5i325ζ145ζ85ζ115ζ2000000001+i32-1−ζ4−ζ13−ζ−ζ7ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7
χ695−5ζ4−5ζ14−5ζ8−5ζ13−5ζ−5ζ11−5ζ2−5ζ7000000001+i321−i32−ζ4−ζ13−ζ−ζ7−ζ14−ζ8−ζ11−ζ2−5−5i325ζ45ζ135ζ5ζ7000000001−i32-1−ζ14−ζ8−ζ11−ζ2ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−5+5i325ζ145ζ85ζ115ζ200000000-11+i32ζ4+ζ14ζ8+ζ13ζ+ζ11ζ2+ζ7−ζ4−ζ13−ζ−ζ7

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