Finite Group Databasebeta

← Group #11754941

Character table — Group #11754941

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444446666666666668888888888888812121212121212121212121212122020202020202020404060606060
order1222344556661010101010102210101010101010101212151520202020303030303030224410101010101010106630303030303030306060606022101010101010101020202020224412121212664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ6111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-111
χ911111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-111111111-1-1111111111-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11-11-111-1-11-11-11-1
χ1011111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-111111111-1-1111111111-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-11
χ1111111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-11-111-1-11-1-11-11
χ1211111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-11-11-1-111-111-11-1
χ1311111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-111111111-1-111111111-11-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11-1-1111-1-111-1
χ1411111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-111111111-1-111111111-11-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-111-111-1-1-111-1-11
χ1511111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-11111-1-1-1-111111-1-11-1-1111-11-1-11
χ1611111-1-111111111111-11-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-111-111-1-1-11-111-1
χ172222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ182222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ192222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ202222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2522222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2622222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2722222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2822222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2922222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ3022222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ3122222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ332222-12222-1-1-12222222222222222-1-1-1-12222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-1-1-10000
χ342222-12222-1-1-12222222222222222-1-1-1-12222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-21111110000
χ352222-12222-1-1-1222222-2-2-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-10000000000001111111111-1-1-1-10000000000000022-2-21111-1-10000
χ362222-12222-1-1-1222222-2-2-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-10000000000001111111111-1-1-1-100000000000000-2-222-1-1-1-1110000
χ372222-1-2-222-1-1-12222222-22222-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-1000000000000-11-1-1-1-111111111000000000000002-22-2-1-111-110000
χ382222-1-2-222-1-1-12222222-22222-2-2-2-211-1-1-2-2-2-2-1-1-1-1-1-1000000000000-11-1-1-1-11111111100000000000000-22-2211-1-11-10000
χ392222-1-2-222-1-1-1222222-22-2-2-2-2222211-1-1-2-2-2-2-1-1-1-1-1-10000000000001-11111-1-1-1-11111000000000000002-2-2211-1-1-110000
χ402222-1-2-222-1-1-1222222-22-2-2-2-2222211-1-1-2-2-2-2-1-1-1-1-1-10000000000001-11111-1-1-1-1111100000000000000-222-2-1-1111-10000
χ412-2-2222-2222-2-2-2-2-2-22200000000002-2222-22-2-2-2-2-2222-22-222-2-222-2-200000000002-22-200000000002-22-200000000000000
χ422-2-2222-2222-2-2-2-2-2-22200000000002-2222-22-2-2-2-2-222-22-22-2-222-2-22200000000002-22-20000000000-22-2200000000000000
χ432-2-2222-2−1+52−1−522-2-21−521−521+521+52−1+52−1−5200ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ142-2−1+52−1−52−1+521−52−1−521+521−521−521+521+52−1+52−1−522-22-2−1+52−1+521−521−52−1−52−1−521+521+5200ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+521−52−1−521+5200ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+521−52−1−521+5200000000000000
χ442-2-2222-2−1+52−1−522-2-21−521−521+521+52−1+52−1−5200ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ142-2−1+52−1−52−1+521−52−1−521+521−521−521+521+52−1+52−1−52-22-221−521−52−1+52−1+521+521+52−1−52−1−5200ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+521−52−1−521+5200−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ141−52−1+521+52−1−5200000000000000
χ452-2-2222-2−1+52−1−522-2-21−521−521+521+52−1+52−1−5200−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142-2−1+52−1−52−1+521−52−1−521+521−521−521+521+52−1+52−1−522-22-2−1+52−1+521−521−52−1−52−1−521+521+5200−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+521−52−1−521+5200−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+521−52−1−521+5200000000000000
χ462-2-2222-2−1+52−1−522-2-21−521−521+521+52−1+52−1−5200−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ142-2−1+52−1−52−1+521−52−1−521+521−521−521+521+52−1+52−1−52-22-221−521−52−1+52−1+521+521+52−1−52−1−5200−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+521−52−1−521+5200ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ141−52−1+521+52−1−5200000000000000
χ472-2-2222-2−1−52−1+522-2-21+521+521−521−52−1−52−1+5200−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ132-2−1−52−1+52−1−521+52−1+521−521+521+521−521−52−1−52−1+522-22-2−1−52−1−521+521+52−1+52−1+521−521−5200−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−1−521+52−1+521−5200−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−1−521+52−1+521−5200000000000000
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χ824-44-4-2004422-2-44-44-4-4000000000000-2-200002-22-2220000000000000000000000000000000000000000000000−2i32i3000000
χ834-4-44-24-444-222-4-4-4-4440000000000-22-2-24-44-42222-2-20000000000000000000000-22-220000000000000000000000000000
χ844-4-44-24-4−1+5−1−5-2221−51−51+51+5−1+5−1−5002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+5200000000000000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ141−52−1+521+52−1−520000000000000000000000000000
χ854-4-44-24-4−1+5−1−5-2221−51−51+51+5−1+5−1−500−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+5200000000000000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ141−52−1+521+52−1−520000000000000000000000000000
χ864-4-44-24-4−1−5−1+5-2221+51+51−51−5−1−5−1+500−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−5200000000000000ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ131+52−1−521−52−1+520000000000000000000000000000
χ874-4-44-24-4−1−5−1+5-2221+51+51−51−5−1−5−1+5002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−5200000000000000−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ131+52−1−521−52−1+520000000000000000000000000000
χ884-4-44-2-4444-222-4-4-4-44400000000002-2-2-2-44-442222-2-200000000000000000000002-22-20000000000000000000000000000
χ894-4-44-2-44−1+5−1−5-2221−51−51+51+5−1+5−1−5002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+5200000000000000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−1+521−52−1−521+520000000000000000000000000000
χ904-4-44-2-44−1+5−1−5-2221−51−51+51+5−1+5−1−500−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+5200000000000000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−1+521−52−1−521+520000000000000000000000000000
χ914-4-44-2-44−1−5−1+5-2221+51+51−51−5−1−5−1+500−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−5200000000000000ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−1−521+52−1+521−520000000000000000000000000000
χ924-4-44-2-44−1−5−1+5-2221+51+51−51−5−1−5−1+5002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−5200000000000000−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−1−521+52−1+521−520000000000000000000000000000
χ9388-8-8-400−2+25−2−254-44−2+252−25−2−252+252−252+250000000000001−51+500001−5−1+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000
χ9488-8-8-400−2−25−2+254-44−2−252+25−2+252−252+252−250000000000001+51−500001+5−1−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000
χ958-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+250000000000001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000
χ968-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−250000000000001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000

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