Finite Group Databasebeta

← Group #10624235

Character table — Group #10624235

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222222222224444444444444444444444444444444444444441515181830303030303030363636366060
order12233556666101036666101015151515151515153030303030303030303030303030303030303030303030302224224666610102020612
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111
χ511-111111-1-11111-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-111-1-111-1-11-1
χ611-111111-1-11111-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-1-1-1-111-11
χ711-111111-1-11111-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-1-11
χ811-111111-1-11111-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1111-1
χ922222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200220000000−1+52−1−52−1+52−1−5200
χ1022222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-200000001−521+521−521+5200
χ1122222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200220000000−1−52−1+52−1−52−1+5200
χ1222222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200-2-200000001+521−521+521−5200
χ132222-122-1-1-1222-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200200-1-1-1-1000000
χ142222-122-1-1-1222-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2001111000000
χ15222-1222222-122-1-1-1-1-122-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000002200000000-1-1
χ16222-1222222-122-1-1-1-1-122-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000-2-20000000011
χ1722-222−1+52−1−522-2-22−1+52−1−522-22-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52002-20000000−1+52−1−521−521+5200
χ1822-222−1+52−1−522-2-22−1+52−1−522-22-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200-2200000001−521+52−1+52−1−5200
χ1922-222−1−52−1+522-2-22−1−52−1+522-22-2-21+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002-20000000−1−52−1+521+521−5200
χ2022-222−1−52−1+522-2-22−1−52−1+522-22-2-21+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-2200000001+521−52−1−52−1+5200
χ2122-22-122-111222-1-2-111-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111112200-200-1-111000000
χ2222-22-122-111222-1-2-111-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-20020011-1-1000000
χ2322-2-12222-2-2-122-11-111-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000002-200000000-11
χ2422-2-12222-2-2-122-11-111-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111100000-22000000001-1
χ252-202222-200-2-2-220-2000022222222-2-2-2-2-2-2-2-200000000000000002-2000002-200000000
χ262-202222-200-2-2-220-2000022222222-2-2-2-2-2-2-2-20000000000000000-2200000-2200000000
χ272-202-1221i3−i3-2-2-2-101i3−i3002-1-1-12-1-1-1-2111-211100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-200000-11i3−i3000000
χ282-202-1221i3−i3-2-2-2-101i3−i3002-1-1-12-1-1-1-2111-211100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-22000001-1−i3i3000000
χ292-202-1221−i3i3-2-2-2-101−i3i3002-1-1-12-1-1-1-2111-211100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32-200000-11−i3i3000000
χ302-202-1221−i3i3-2-2-2-101−i3i3002-1-1-12-1-1-1-2111-211100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-22000001-1i3−i3000000
χ314444-2−1+5−1−5-2-2-24−1+5−1−5-24-2-2-2−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+5200000000000000000
χ324444-2−1−5−1+5-2-2-24−1−5−1+5-24-2-2-2−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−5200000000000000000
χ33444-24−1+5−1−5444-2−1+5−1−5-2-2-2-2-2−1+5−1−51−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+5200000000000000000
χ34444-24−1−5−1+5444-2−1−5−1+5-2-2-2-2-2−1−5−1+51+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−5200000000000000000
χ35444-2-244-2-2-2-2441-211144-2-211-2-211-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000
χ36444-2-2−1+5−1−5-2-2-2-2−1+5−1−51-2111−1+5−1−51−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−521−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+521+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ1400000000000000000
χ37444-2-2−1+5−1−5-2-2-2-2−1+5−1−51-2111−1+5−1−51−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−521−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+521+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ1400000000000000000
χ38444-2-2−1−5−1+5-2-2-2-2−1−5−1+51-2111−1−5−1+51+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+521+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−521−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ1300000000000000000
χ39444-2-2−1−5−1+5-2-2-2-2−1−5−1+51-2111−1−5−1+51+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+521+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−521−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ1300000000000000000
χ4044-44-2−1+5−1−5-2224−1+5−1−5-2-4-2221−51+5−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000
χ4144-44-2−1−5−1+5-2224−1−5−1+5-2-4-2221+51−5−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000
χ4244-4-24−1+5−1−54-4-4-2−1+5−1−5-22-2221−51+51−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−5200000000000000000
χ4344-4-24−1−5−1+54-4-4-2−1−5−1+5-22-2221+51−51+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+5200000000000000000
χ4444-4-2-244-222-244121-1-1-4-4-2-211-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000
χ4544-4-2-2−1+5−1−5-222-2−1+5−1−5121-1-11−51+51−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+52−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−1−52−1−52−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ1400000000000000000
χ4644-4-2-2−1+5−1−5-222-2−1+5−1−5121-1-11−51+51−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+52−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−1−52−1−52−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ1400000000000000000
χ4744-4-2-2−1−5−1+5-222-2−1−5−1+5121-1-11+51−51+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−52−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−1+52−1+52−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ1300000000000000000
χ4844-4-2-2−1−5−1+5-222-2−1−5−1+5121-1-11+51−51+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ1300000000000000000
χ494-4044−1+5−1−5-400-41−51+540-40000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51−51−51+51+51+51+5000000000000000000000000000000000
χ504-4044−1−5−1+5-400-41+51−540-40000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51+51+51−51−51−51−5000000000000000000000000000000000
χ514-404-2−1+5−1−522i3−2i3-41−51+5-2022i3−2i300−1+51−521−521−52−1−51+521+521+521−5−1+52−1+52−1+521+5−1−52−1−52−1−5200ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ1300−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ+ζ4−ζ11−ζ1400000000000000000
χ524-404-2−1+5−1−52−2i32i3-41−51+5-202−2i32i300−1+51−521−521−52−1−51+521+521+521−5−1+52−1+52−1+521+5−1−52−1−52−1−5200−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ1300ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ−ζ4+ζ11+ζ1400000000000000000
χ534-404-2−1−5−1+522i3−2i3-41+51−5-2022i3−2i300−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521−5−1+52−1+52−1+5200−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ+ζ4−ζ11−ζ1400ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ1300000000000000000
χ544-404-2−1−5−1+52−2i32i3-41+51−5-202−2i32i300−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521−5−1+52−1+52−1+5200ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ−ζ4+ζ11+ζ1400−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ1300000000000000000
χ554-40-2444-4002-4-4-2020000-24-2-2-24-2-22-4222-422000000000000000000000000000000000
χ564-40-24−1+5−1−5-40021−51+5-20200001−52−1+51−521−521+52−1−51+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ1400ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ1400000000000000000
χ574-40-24−1+5−1−5-40021−51+5-20200001−52−1+51−521−521+52−1−51+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ1400−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ1400000000000000000
χ584-40-24−1−5−1+5-40021+51−5-20200001+52−1−51+521+521−52−1+51−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ1400ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300000000000000000
χ594-40-24−1−5−1+5-40021+51−5-20200001+52−1−51+521+521−52−1+51−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ1400−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300000000000000000
χ604-40-2-24422i3−2i32-4-410-1−i3i300-2-211-2-21122-1-122-1-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i300000000000000000
χ614-40-2-2442−2i32i32-4-410-1i3−i300-2-211-2-21122-1-122-1-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i300000000000000000
χ624-40-2-2−1+5−1−522i3−2i321−51+510-1−i3i3001−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ4−ζ14ζ−ζ11−ζ4+ζ14−ζ+ζ1100000000000000000
χ634-40-2-2−1+5−1−522i3−2i321−51+510-1−i3i3001−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ8+ζ13−ζ2+ζ7ζ8−ζ13ζ2−ζ7−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ11ζ4−ζ14−ζ+ζ11−ζ4+ζ1400000000000000000
χ644-40-2-2−1+5−1−52−2i32i321−51+510-1i3−i3001−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ131+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ4+ζ14−ζ+ζ11ζ4−ζ14ζ−ζ1100000000000000000
χ654-40-2-2−1+5−1−52−2i32i321−51+510-1i3−i3001−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ131+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ11−ζ4+ζ14ζ−ζ11ζ4−ζ1400000000000000000
χ664-40-2-2−1−5−1+522i3−2i321+51−510-1−i3i3001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ4−ζ14ζ−ζ11−ζ4+ζ14−ζ+ζ11−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ8+ζ13−ζ2+ζ7ζ8−ζ13ζ2−ζ700000000000000000
χ674-40-2-2−1−5−1+522i3−2i321+51−510-1−i3i3001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ11ζ4−ζ14−ζ+ζ11−ζ4+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7ζ8−ζ1300000000000000000
χ684-40-2-2−1−5−1+52−2i32i321+51−510-1i3−i3001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ4+ζ14−ζ+ζ11ζ4−ζ14ζ−ζ11ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ700000000000000000
χ694-40-2-2−1−5−1+52−2i32i321+51−510-1i3−i3001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ11−ζ4+ζ14ζ−ζ11ζ4−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7ζ8−ζ13−ζ2+ζ7−ζ8+ζ1300000000000000000

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