Character table for the C114v point group

C114v   E         2 C114    2 C57     2 C38     2 C57^2   2 C114^5  2 C19     2 C114^7  2 C57^4   2 C38^3   2 C57^5   2 C114^11 2 C19^2   2 C114^13 2 C57^7   2 C38^5   2 C57^8   2 C114^17 2 C19^3   2 C6      2 C57^10  2 C38^7   2 C57^11  2 C114^23 2 C19^4   2 C114^25 2 C57^13  2 C38^9   2 C57^14  2 C114^29 2 C19^5   2 C114^31 2 C57^16  2 C38^11  2 C57^17  2 C114^35 2 C19^6   2 C114^37 2 C3      2 C38^13  2 C57^20  2 C114^41 2 C19^7   2 C114^43 2 C57^22  2 C38^15  2 C57^23  2 C114^47 2 C19^8   2 C114^49 2 C57^25  2 C38^17  2 C57^26  2 C114^53 2 C19^9   2 C114^55 2 C57^28  C2        57 sv     57 sd        <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1       1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000     ... ..T ....T ......T ........T ..........T ............T
A2       1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000     ..T ... ..... ....... ......... ........... .............
B1       1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000     ... ... ..... ....... ......... ........... .............
B2       1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000   1.00000     ... ... ..... ....... ......... ........... .............
E1       2.00000   1.99696   1.98786   1.97272   1.95159   1.92454   1.89163   1.85299   1.80871   1.75895   1.70384   1.64356   1.57828   1.50821   1.43357   1.35456   1.27145   1.18447   1.09390   1.00000   0.90307   0.80339   0.70128   0.59703   0.49097   0.38342   0.27471   0.16516   0.05511  -0.05511  -0.16516  -0.27471  -0.38342  -0.49097  -0.59703  -0.70128  -0.80339  -0.90307  -1.00000  -1.09390  -1.18447  -1.27145  -1.35456  -1.43357  -1.50821  -1.57828  -1.64356  -1.70384  -1.75895  -1.80871  -1.85299  -1.89163  -1.92454  -1.95159  -1.97272  -1.98786  -1.99696  -2.00000   0.00000   0.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2       2.00000   1.98786   1.95159   1.89163   1.80871   1.70384   1.57828   1.43357   1.27145   1.09390   0.90307   0.70128   0.49097   0.27471   0.05511  -0.16516  -0.38342  -0.59703  -0.80339  -1.00000  -1.18447  -1.35456  -1.50821  -1.64356  -1.75895  -1.85299  -1.92454  -1.97272  -1.99696  -1.99696  -1.97272  -1.92454  -1.85299  -1.75895  -1.64356  -1.50821  -1.35456  -1.18447  -1.00000  -0.80339  -0.59703  -0.38342  -0.16516   0.05511   0.27471   0.49097   0.70128   0.90307   1.09390   1.27145   1.43357   1.57828   1.70384   1.80871   1.89163   1.95159   1.98786   2.00000   0.00000   0.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3       2.00000   1.97272   1.89163   1.75895   1.57828   1.35456   1.09390   0.80339   0.49097   0.16516  -0.16516  -0.49097  -0.80339  -1.09390  -1.35456  -1.57828  -1.75895  -1.89163  -1.97272  -2.00000  -1.97272  -1.89163  -1.75895  -1.57828  -1.35456  -1.09390  -0.80339  -0.49097  -0.16516   0.16516   0.49097   0.80339   1.09390   1.35456   1.57828   1.75895   1.89163   1.97272   2.00000   1.97272   1.89163   1.75895   1.57828   1.35456   1.09390   0.80339   0.49097   0.16516  -0.16516  -0.49097  -0.80339  -1.09390  -1.35456  -1.57828  -1.75895  -1.89163  -1.97272  -2.00000   0.00000   0.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4       2.00000   1.95159   1.80871   1.57828   1.27145   0.90307   0.49097   0.05511  -0.38342  -0.80339  -1.18447  -1.50821  -1.75895  -1.92454  -1.99696  -1.97272  -1.85299  -1.64356  -1.35456  -1.00000  -0.59703  -0.16516   0.27471   0.70128   1.09390   1.43357   1.70384   1.89163   1.98786   1.98786   1.89163   1.70384   1.43357   1.09390   0.70128   0.27471  -0.16516  -0.59703  -1.00000  -1.35456  -1.64356  -1.85299  -1.97272  -1.99696  -1.92454  -1.75895  -1.50821  -1.18447  -0.80339  -0.38342   0.05511   0.49097   0.90307   1.27145   1.57828   1.80871   1.95159   2.00000   0.00000   0.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5       2.00000   1.92454   1.70384   1.35456   0.90307   0.38342  -0.16516  -0.70128  -1.18447  -1.57828  -1.85299  -1.98786  -1.97272  -1.80871  -1.50821  -1.09390  -0.59703  -0.05511   0.49097   1.00000   1.43357   1.75895   1.95159   1.99696   1.89163   1.64356   1.27145   0.80339   0.27471  -0.27471  -0.80339  -1.27145  -1.64356  -1.89163  -1.99696  -1.95159  -1.75895  -1.43357  -1.00000  -0.49097   0.05511   0.59703   1.09390   1.50821   1.80871   1.97272   1.98786   1.85299   1.57828   1.18447   0.70128   0.16516  -0.38342  -0.90307  -1.35456  -1.70384  -1.92454  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6       2.00000   1.89163   1.57828   1.09390   0.49097  -0.16516  -0.80339  -1.35456  -1.75895  -1.97272  -1.97272  -1.75895  -1.35456  -0.80339  -0.16516   0.49097   1.09390   1.57828   1.89163   2.00000   1.89163   1.57828   1.09390   0.49097  -0.16516  -0.80339  -1.35456  -1.75895  -1.97272  -1.97272  -1.75895  -1.35456  -0.80339  -0.16516   0.49097   1.09390   1.57828   1.89163   2.00000   1.89163   1.57828   1.09390   0.49097  -0.16516  -0.80339  -1.35456  -1.75895  -1.97272  -1.97272  -1.75895  -1.35456  -0.80339  -0.16516   0.49097   1.09390   1.57828   1.89163   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... TT...........
E7       2.00000   1.85299   1.43357   0.80339   0.05511  -0.70128  -1.35456  -1.80871  -1.99696  -1.89163  -1.50821  -0.90307  -0.16516   0.59703   1.27145   1.75895   1.98786   1.92454   1.57828   1.00000   0.27471  -0.49097  -1.18447  -1.70384  -1.97272  -1.95159  -1.64356  -1.09390  -0.38342   0.38342   1.09390   1.64356   1.95159   1.97272   1.70384   1.18447   0.49097  -0.27471  -1.00000  -1.57828  -1.92454  -1.98786  -1.75895  -1.27145  -0.59703   0.16516   0.90307   1.50821   1.89163   1.99696   1.80871   1.35456   0.70128  -0.05511  -0.80339  -1.43357  -1.85299  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E8       2.00000   1.80871   1.27145   0.49097  -0.38342  -1.18447  -1.75895  -1.99696  -1.85299  -1.35456  -0.59703   0.27471   1.09390   1.70384   1.98786   1.89163   1.43357   0.70128  -0.16516  -1.00000  -1.64356  -1.97272  -1.92454  -1.50821  -0.80339   0.05511   0.90307   1.57828   1.95159   1.95159   1.57828   0.90307   0.05511  -0.80339  -1.50821  -1.92454  -1.97272  -1.64356  -1.00000  -0.16516   0.70128   1.43357   1.89163   1.98786   1.70384   1.09390   0.27471  -0.59703  -1.35456  -1.85299  -1.99696  -1.75895  -1.18447  -0.38342   0.49097   1.27145   1.80871   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E9       2.00000   1.75895   1.09390   0.16516  -0.80339  -1.57828  -1.97272  -1.89163  -1.35456  -0.49097   0.49097   1.35456   1.89163   1.97272   1.57828   0.80339  -0.16516  -1.09390  -1.75895  -2.00000  -1.75895  -1.09390  -0.16516   0.80339   1.57828   1.97272   1.89163   1.35456   0.49097  -0.49097  -1.35456  -1.89163  -1.97272  -1.57828  -0.80339   0.16516   1.09390   1.75895   2.00000   1.75895   1.09390   0.16516  -0.80339  -1.57828  -1.97272  -1.89163  -1.35456  -0.49097   0.49097   1.35456   1.89163   1.97272   1.57828   0.80339  -0.16516  -1.09390  -1.75895  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E10      2.00000   1.70384   0.90307  -0.16516  -1.18447  -1.85299  -1.97272  -1.50821  -0.59703   0.49097   1.43357   1.95159   1.89163   1.27145   0.27471  -0.80339  -1.64356  -1.99696  -1.75895  -1.00000   0.05511   1.09390   1.80871   1.98786   1.57828   0.70128  -0.38342  -1.35456  -1.92454  -1.92454  -1.35456  -0.38342   0.70128   1.57828   1.98786   1.80871   1.09390   0.05511  -1.00000  -1.75895  -1.99696  -1.64356  -0.80339   0.27471   1.27145   1.89163   1.95159   1.43357   0.49097  -0.59703  -1.50821  -1.97272  -1.85299  -1.18447  -0.16516   0.90307   1.70384   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E11      2.00000   1.64356   0.70128  -0.49097  -1.50821  -1.98786  -1.75895  -0.90307   0.27471   1.35456   1.95159   1.85299   1.09390  -0.05511  -1.18447  -1.89163  -1.92454  -1.27145  -0.16516   1.00000   1.80871   1.97272   1.43357   0.38342  -0.80339  -1.70384  -1.99696  -1.57828  -0.59703   0.59703   1.57828   1.99696   1.70384   0.80339  -0.38342  -1.43357  -1.97272  -1.80871  -1.00000   0.16516   1.27145   1.92454   1.89163   1.18447   0.05511  -1.09390  -1.85299  -1.95159  -1.35456  -0.27471   0.90307   1.75895   1.98786   1.50821   0.49097  -0.70128  -1.64356  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E12      2.00000   1.57828   0.49097  -0.80339  -1.75895  -1.97272  -1.35456  -0.16516   1.09390   1.89163   1.89163   1.09390  -0.16516  -1.35456  -1.97272  -1.75895  -0.80339   0.49097   1.57828   2.00000   1.57828   0.49097  -0.80339  -1.75895  -1.97272  -1.35456  -0.16516   1.09390   1.89163   1.89163   1.09390  -0.16516  -1.35456  -1.97272  -1.75895  -0.80339   0.49097   1.57828   2.00000   1.57828   0.49097  -0.80339  -1.75895  -1.97272  -1.35456  -0.16516   1.09390   1.89163   1.89163   1.09390  -0.16516  -1.35456  -1.97272  -1.75895  -0.80339   0.49097   1.57828   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E13      2.00000   1.50821   0.27471  -1.09390  -1.92454  -1.80871  -0.80339   0.59703   1.70384   1.97272   1.27145  -0.05511  -1.35456  -1.98786  -1.64356  -0.49097   0.90307   1.85299   1.89163   1.00000  -0.38342  -1.57828  -1.99696  -1.43357  -0.16516   1.18447   1.95159   1.75895   0.70128  -0.70128  -1.75895  -1.95159  -1.18447   0.16516   1.43357   1.99696   1.57828   0.38342  -1.00000  -1.89163  -1.85299  -0.90307   0.49097   1.64356   1.98786   1.35456   0.05511  -1.27145  -1.97272  -1.70384  -0.59703   0.80339   1.80871   1.92454   1.09390  -0.27471  -1.50821  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E14      2.00000   1.43357   0.05511  -1.35456  -1.99696  -1.50821  -0.16516   1.27145   1.98786   1.57828   0.27471  -1.18447  -1.97272  -1.64356  -0.38342   1.09390   1.95159   1.70384   0.49097  -1.00000  -1.92454  -1.75895  -0.59703   0.90307   1.89163   1.80871   0.70128  -0.80339  -1.85299  -1.85299  -0.80339   0.70128   1.80871   1.89163   0.90307  -0.59703  -1.75895  -1.92454  -1.00000   0.49097   1.70384   1.95159   1.09390  -0.38342  -1.64356  -1.97272  -1.18447   0.27471   1.57828   1.98786   1.27145  -0.16516  -1.50821  -1.99696  -1.35456   0.05511   1.43357   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E15      2.00000   1.35456  -0.16516  -1.57828  -1.97272  -1.09390   0.49097   1.75895   1.89163   0.80339  -0.80339  -1.89163  -1.75895  -0.49097   1.09390   1.97272   1.57828   0.16516  -1.35456  -2.00000  -1.35456   0.16516   1.57828   1.97272   1.09390  -0.49097  -1.75895  -1.89163  -0.80339   0.80339   1.89163   1.75895   0.49097  -1.09390  -1.97272  -1.57828  -0.16516   1.35456   2.00000   1.35456  -0.16516  -1.57828  -1.97272  -1.09390   0.49097   1.75895   1.89163   0.80339  -0.80339  -1.89163  -1.75895  -0.49097   1.09390   1.97272   1.57828   0.16516  -1.35456  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E16      2.00000   1.27145  -0.38342  -1.75895  -1.85299  -0.59703   1.09390   1.98786   1.43357  -0.16516  -1.64356  -1.92454  -0.80339   0.90307   1.95159   1.57828   0.05511  -1.50821  -1.97272  -1.00000   0.70128   1.89163   1.70384   0.27471  -1.35456  -1.99696  -1.18447   0.49097   1.80871   1.80871   0.49097  -1.18447  -1.99696  -1.35456   0.27471   1.70384   1.89163   0.70128  -1.00000  -1.97272  -1.50821   0.05511   1.57828   1.95159   0.90307  -0.80339  -1.92454  -1.64356  -0.16516   1.43357   1.98786   1.09390  -0.59703  -1.85299  -1.75895  -0.38342   1.27145   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E17      2.00000   1.18447  -0.59703  -1.89163  -1.64356  -0.05511   1.57828   1.92454   0.70128  -1.09390  -1.99696  -1.27145   0.49097   1.85299   1.70384   0.16516  -1.50821  -1.95159  -0.80339   1.00000   1.98786   1.35456  -0.38342  -1.80871  -1.75895  -0.27471   1.43357   1.97272   0.90307  -0.90307  -1.97272  -1.43357   0.27471   1.75895   1.80871   0.38342  -1.35456  -1.98786  -1.00000   0.80339   1.95159   1.50821  -0.16516  -1.70384  -1.85299  -0.49097   1.27145   1.99696   1.09390  -0.70128  -1.92454  -1.57828   0.05511   1.64356   1.89163   0.59703  -1.18447  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E18      2.00000   1.09390  -0.80339  -1.97272  -1.35456   0.49097   1.89163   1.57828  -0.16516  -1.75895  -1.75895  -0.16516   1.57828   1.89163   0.49097  -1.35456  -1.97272  -0.80339   1.09390   2.00000   1.09390  -0.80339  -1.97272  -1.35456   0.49097   1.89163   1.57828  -0.16516  -1.75895  -1.75895  -0.16516   1.57828   1.89163   0.49097  -1.35456  -1.97272  -0.80339   1.09390   2.00000   1.09390  -0.80339  -1.97272  -1.35456   0.49097   1.89163   1.57828  -0.16516  -1.75895  -1.75895  -0.16516   1.57828   1.89163   0.49097  -1.35456  -1.97272  -0.80339   1.09390   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E19      2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E20      2.00000   0.90307  -1.18447  -1.97272  -0.59703   1.43357   1.89163   0.27471  -1.64356  -1.75895   0.05511   1.80871   1.57828  -0.38342  -1.92454  -1.35456   0.70128   1.98786   1.09390  -1.00000  -1.99696  -0.80339   1.27145   1.95159   0.49097  -1.50821  -1.85299  -0.16516   1.70384   1.70384  -0.16516  -1.85299  -1.50821   0.49097   1.95159   1.27145  -0.80339  -1.99696  -1.00000   1.09390   1.98786   0.70128  -1.35456  -1.92454  -0.38342   1.57828   1.80871   0.05511  -1.75895  -1.64356   0.27471   1.89163   1.43357  -0.59703  -1.97272  -1.18447   0.90307   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E21      2.00000   0.80339  -1.35456  -1.89163  -0.16516   1.75895   1.57828  -0.49097  -1.97272  -1.09390   1.09390   1.97272   0.49097  -1.57828  -1.75895   0.16516   1.89163   1.35456  -0.80339  -2.00000  -0.80339   1.35456   1.89163   0.16516  -1.75895  -1.57828   0.49097   1.97272   1.09390  -1.09390  -1.97272  -0.49097   1.57828   1.75895  -0.16516  -1.89163  -1.35456   0.80339   2.00000   0.80339  -1.35456  -1.89163  -0.16516   1.75895   1.57828  -0.49097  -1.97272  -1.09390   1.09390   1.97272   0.49097  -1.57828  -1.75895   0.16516   1.89163   1.35456  -0.80339  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E22      2.00000   0.70128  -1.50821  -1.75895   0.27471   1.95159   1.09390  -1.18447  -1.92454  -0.16516   1.80871   1.43357  -0.80339  -1.99696  -0.59703   1.57828   1.70384  -0.38342  -1.97272  -1.00000   1.27145   1.89163   0.05511  -1.85299  -1.35456   0.90307   1.98786   0.49097  -1.64356  -1.64356   0.49097   1.98786   0.90307  -1.35456  -1.85299   0.05511   1.89163   1.27145  -1.00000  -1.97272  -0.38342   1.70384   1.57828  -0.59703  -1.99696  -0.80339   1.43357   1.80871  -0.16516  -1.92454  -1.18447   1.09390   1.95159   0.27471  -1.75895  -1.50821   0.70128   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E23      2.00000   0.59703  -1.64356  -1.57828   0.70128   1.99696   0.49097  -1.70384  -1.50821   0.80339   1.98786   0.38342  -1.75895  -1.43357   0.90307   1.97272   0.27471  -1.80871  -1.35456   1.00000   1.95159   0.16516  -1.85299  -1.27145   1.09390   1.92454   0.05511  -1.89163  -1.18447   1.18447   1.89163  -0.05511  -1.92454  -1.09390   1.27145   1.85299  -0.16516  -1.95159  -1.00000   1.35456   1.80871  -0.27471  -1.97272  -0.90307   1.43357   1.75895  -0.38342  -1.98786  -0.80339   1.50821   1.70384  -0.49097  -1.99696  -0.70128   1.57828   1.64356  -0.59703  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E24      2.00000   0.49097  -1.75895  -1.35456   1.09390   1.89163  -0.16516  -1.97272  -0.80339   1.57828   1.57828  -0.80339  -1.97272  -0.16516   1.89163   1.09390  -1.35456  -1.75895   0.49097   2.00000   0.49097  -1.75895  -1.35456   1.09390   1.89163  -0.16516  -1.97272  -0.80339   1.57828   1.57828  -0.80339  -1.97272  -0.16516   1.89163   1.09390  -1.35456  -1.75895   0.49097   2.00000   0.49097  -1.75895  -1.35456   1.09390   1.89163  -0.16516  -1.97272  -0.80339   1.57828   1.57828  -0.80339  -1.97272  -0.16516   1.89163   1.09390  -1.35456  -1.75895   0.49097   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E25      2.00000   0.38342  -1.85299  -1.09390   1.43357   1.64356  -0.80339  -1.95159   0.05511   1.97272   0.70128  -1.70384  -1.35456   1.18447   1.80871  -0.49097  -1.99696  -0.27471   1.89163   1.00000  -1.50821  -1.57828   0.90307   1.92454  -0.16516  -1.98786  -0.59703   1.75895   1.27145  -1.27145  -1.75895   0.59703   1.98786   0.16516  -1.92454  -0.90307   1.57828   1.50821  -1.00000  -1.89163   0.27471   1.99696   0.49097  -1.80871  -1.18447   1.35456   1.70384  -0.70128  -1.97272  -0.05511   1.95159   0.80339  -1.64356  -1.43357   1.09390   1.85299  -0.38342  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E26      2.00000   0.27471  -1.92454  -0.80339   1.70384   1.27145  -1.35456  -1.64356   0.90307   1.89163  -0.38342  -1.99696  -0.16516   1.95159   0.70128  -1.75895  -1.18447   1.43357   1.57828  -1.00000  -1.85299   0.49097   1.98786   0.05511  -1.97272  -0.59703   1.80871   1.09390  -1.50821  -1.50821   1.09390   1.80871  -0.59703  -1.97272   0.05511   1.98786   0.49097  -1.85299  -1.00000   1.57828   1.43357  -1.18447  -1.75895   0.70128   1.95159  -0.16516  -1.99696  -0.38342   1.89163   0.90307  -1.64356  -1.35456   1.27145   1.70384  -0.80339  -1.92454   0.27471   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E27      2.00000   0.16516  -1.97272  -0.49097   1.89163   0.80339  -1.75895  -1.09390   1.57828   1.35456  -1.35456  -1.57828   1.09390   1.75895  -0.80339  -1.89163   0.49097   1.97272  -0.16516  -2.00000  -0.16516   1.97272   0.49097  -1.89163  -0.80339   1.75895   1.09390  -1.57828  -1.35456   1.35456   1.57828  -1.09390  -1.75895   0.80339   1.89163  -0.49097  -1.97272   0.16516   2.00000   0.16516  -1.97272  -0.49097   1.89163   0.80339  -1.75895  -1.09390   1.57828   1.35456  -1.35456  -1.57828   1.09390   1.75895  -0.80339  -1.89163   0.49097   1.97272  -0.16516  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E28      2.00000   0.05511  -1.99696  -0.16516   1.98786   0.27471  -1.97272  -0.38342   1.95159   0.49097  -1.92454  -0.59703   1.89163   0.70128  -1.85299  -0.80339   1.80871   0.90307  -1.75895  -1.00000   1.70384   1.09390  -1.64356  -1.18447   1.57828   1.27145  -1.50821  -1.35456   1.43357   1.43357  -1.35456  -1.50821   1.27145   1.57828  -1.18447  -1.64356   1.09390   1.70384  -1.00000  -1.75895   0.90307   1.80871  -0.80339  -1.85299   0.70128   1.89163  -0.59703  -1.92454   0.49097   1.95159  -0.38342  -1.97272   0.27471   1.98786  -0.16516  -1.99696   0.05511   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E29      2.00000  -0.05511  -1.99696   0.16516   1.98786  -0.27471  -1.97272   0.38342   1.95159  -0.49097  -1.92454   0.59703   1.89163  -0.70128  -1.85299   0.80339   1.80871  -0.90307  -1.75895   1.00000   1.70384  -1.09390  -1.64356   1.18447   1.57828  -1.27145  -1.50821   1.35456   1.43357  -1.43357  -1.35456   1.50821   1.27145  -1.57828  -1.18447   1.64356   1.09390  -1.70384  -1.00000   1.75895   0.90307  -1.80871  -0.80339   1.85299   0.70128  -1.89163  -0.59703   1.92454   0.49097  -1.95159  -0.38342   1.97272   0.27471  -1.98786  -0.16516   1.99696   0.05511  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E30      2.00000  -0.16516  -1.97272   0.49097   1.89163  -0.80339  -1.75895   1.09390   1.57828  -1.35456  -1.35456   1.57828   1.09390  -1.75895  -0.80339   1.89163   0.49097  -1.97272  -0.16516   2.00000  -0.16516  -1.97272   0.49097   1.89163  -0.80339  -1.75895   1.09390   1.57828  -1.35456  -1.35456   1.57828   1.09390  -1.75895  -0.80339   1.89163   0.49097  -1.97272  -0.16516   2.00000  -0.16516  -1.97272   0.49097   1.89163  -0.80339  -1.75895   1.09390   1.57828  -1.35456  -1.35456   1.57828   1.09390  -1.75895  -0.80339   1.89163   0.49097  -1.97272  -0.16516   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E31      2.00000  -0.27471  -1.92454   0.80339   1.70384  -1.27145  -1.35456   1.64356   0.90307  -1.89163  -0.38342   1.99696  -0.16516  -1.95159   0.70128   1.75895  -1.18447  -1.43357   1.57828   1.00000  -1.85299  -0.49097   1.98786  -0.05511  -1.97272   0.59703   1.80871  -1.09390  -1.50821   1.50821   1.09390  -1.80871  -0.59703   1.97272   0.05511  -1.98786   0.49097   1.85299  -1.00000  -1.57828   1.43357   1.18447  -1.75895  -0.70128   1.95159   0.16516  -1.99696   0.38342   1.89163  -0.90307  -1.64356   1.35456   1.27145  -1.70384  -0.80339   1.92454   0.27471  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E32      2.00000  -0.38342  -1.85299   1.09390   1.43357  -1.64356  -0.80339   1.95159   0.05511  -1.97272   0.70128   1.70384  -1.35456  -1.18447   1.80871   0.49097  -1.99696   0.27471   1.89163  -1.00000  -1.50821   1.57828   0.90307  -1.92454  -0.16516   1.98786  -0.59703  -1.75895   1.27145   1.27145  -1.75895  -0.59703   1.98786  -0.16516  -1.92454   0.90307   1.57828  -1.50821  -1.00000   1.89163   0.27471  -1.99696   0.49097   1.80871  -1.18447  -1.35456   1.70384   0.70128  -1.97272   0.05511   1.95159  -0.80339  -1.64356   1.43357   1.09390  -1.85299  -0.38342   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E33      2.00000  -0.49097  -1.75895   1.35456   1.09390  -1.89163  -0.16516   1.97272  -0.80339  -1.57828   1.57828   0.80339  -1.97272   0.16516   1.89163  -1.09390  -1.35456   1.75895   0.49097  -2.00000   0.49097   1.75895  -1.35456  -1.09390   1.89163   0.16516  -1.97272   0.80339   1.57828  -1.57828  -0.80339   1.97272  -0.16516  -1.89163   1.09390   1.35456  -1.75895  -0.49097   2.00000  -0.49097  -1.75895   1.35456   1.09390  -1.89163  -0.16516   1.97272  -0.80339  -1.57828   1.57828   0.80339  -1.97272   0.16516   1.89163  -1.09390  -1.35456   1.75895   0.49097  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E34      2.00000  -0.59703  -1.64356   1.57828   0.70128  -1.99696   0.49097   1.70384  -1.50821  -0.80339   1.98786  -0.38342  -1.75895   1.43357   0.90307  -1.97272   0.27471   1.80871  -1.35456  -1.00000   1.95159  -0.16516  -1.85299   1.27145   1.09390  -1.92454   0.05511   1.89163  -1.18447  -1.18447   1.89163   0.05511  -1.92454   1.09390   1.27145  -1.85299  -0.16516   1.95159  -1.00000  -1.35456   1.80871   0.27471  -1.97272   0.90307   1.43357  -1.75895  -0.38342   1.98786  -0.80339  -1.50821   1.70384   0.49097  -1.99696   0.70128   1.57828  -1.64356  -0.59703   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E35      2.00000  -0.70128  -1.50821   1.75895   0.27471  -1.95159   1.09390   1.18447  -1.92454   0.16516   1.80871  -1.43357  -0.80339   1.99696  -0.59703  -1.57828   1.70384   0.38342  -1.97272   1.00000   1.27145  -1.89163   0.05511   1.85299  -1.35456  -0.90307   1.98786  -0.49097  -1.64356   1.64356   0.49097  -1.98786   0.90307   1.35456  -1.85299  -0.05511   1.89163  -1.27145  -1.00000   1.97272  -0.38342  -1.70384   1.57828   0.59703  -1.99696   0.80339   1.43357  -1.80871  -0.16516   1.92454  -1.18447  -1.09390   1.95159  -0.27471  -1.75895   1.50821   0.70128  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E36      2.00000  -0.80339  -1.35456   1.89163  -0.16516  -1.75895   1.57828   0.49097  -1.97272   1.09390   1.09390  -1.97272   0.49097   1.57828  -1.75895  -0.16516   1.89163  -1.35456  -0.80339   2.00000  -0.80339  -1.35456   1.89163  -0.16516  -1.75895   1.57828   0.49097  -1.97272   1.09390   1.09390  -1.97272   0.49097   1.57828  -1.75895  -0.16516   1.89163  -1.35456  -0.80339   2.00000  -0.80339  -1.35456   1.89163  -0.16516  -1.75895   1.57828   0.49097  -1.97272   1.09390   1.09390  -1.97272   0.49097   1.57828  -1.75895  -0.16516   1.89163  -1.35456  -0.80339   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E37      2.00000  -0.90307  -1.18447   1.97272  -0.59703  -1.43357   1.89163  -0.27471  -1.64356   1.75895   0.05511  -1.80871   1.57828   0.38342  -1.92454   1.35456   0.70128  -1.98786   1.09390   1.00000  -1.99696   0.80339   1.27145  -1.95159   0.49097   1.50821  -1.85299   0.16516   1.70384  -1.70384  -0.16516   1.85299  -1.50821  -0.49097   1.95159  -1.27145  -0.80339   1.99696  -1.00000  -1.09390   1.98786  -0.70128  -1.35456   1.92454  -0.38342  -1.57828   1.80871  -0.05511  -1.75895   1.64356   0.27471  -1.89163   1.43357   0.59703  -1.97272   1.18447   0.90307  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E38      2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E39      2.00000  -1.09390  -0.80339   1.97272  -1.35456  -0.49097   1.89163  -1.57828  -0.16516   1.75895  -1.75895   0.16516   1.57828  -1.89163   0.49097   1.35456  -1.97272   0.80339   1.09390  -2.00000   1.09390   0.80339  -1.97272   1.35456   0.49097  -1.89163   1.57828   0.16516  -1.75895   1.75895  -0.16516  -1.57828   1.89163  -0.49097  -1.35456   1.97272  -0.80339  -1.09390   2.00000  -1.09390  -0.80339   1.97272  -1.35456  -0.49097   1.89163  -1.57828  -0.16516   1.75895  -1.75895   0.16516   1.57828  -1.89163   0.49097   1.35456  -1.97272   0.80339   1.09390  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E40      2.00000  -1.18447  -0.59703   1.89163  -1.64356   0.05511   1.57828  -1.92454   0.70128   1.09390  -1.99696   1.27145   0.49097  -1.85299   1.70384  -0.16516  -1.50821   1.95159  -0.80339  -1.00000   1.98786  -1.35456  -0.38342   1.80871  -1.75895   0.27471   1.43357  -1.97272   0.90307   0.90307  -1.97272   1.43357   0.27471  -1.75895   1.80871  -0.38342  -1.35456   1.98786  -1.00000  -0.80339   1.95159  -1.50821  -0.16516   1.70384  -1.85299   0.49097   1.27145  -1.99696   1.09390   0.70128  -1.92454   1.57828   0.05511  -1.64356   1.89163  -0.59703  -1.18447   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E41      2.00000  -1.27145  -0.38342   1.75895  -1.85299   0.59703   1.09390  -1.98786   1.43357   0.16516  -1.64356   1.92454  -0.80339  -0.90307   1.95159  -1.57828   0.05511   1.50821  -1.97272   1.00000   0.70128  -1.89163   1.70384  -0.27471  -1.35456   1.99696  -1.18447  -0.49097   1.80871  -1.80871   0.49097   1.18447  -1.99696   1.35456   0.27471  -1.70384   1.89163  -0.70128  -1.00000   1.97272  -1.50821  -0.05511   1.57828  -1.95159   0.90307   0.80339  -1.92454   1.64356  -0.16516  -1.43357   1.98786  -1.09390  -0.59703   1.85299  -1.75895   0.38342   1.27145  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E42      2.00000  -1.35456  -0.16516   1.57828  -1.97272   1.09390   0.49097  -1.75895   1.89163  -0.80339  -0.80339   1.89163  -1.75895   0.49097   1.09390  -1.97272   1.57828  -0.16516  -1.35456   2.00000  -1.35456  -0.16516   1.57828  -1.97272   1.09390   0.49097  -1.75895   1.89163  -0.80339  -0.80339   1.89163  -1.75895   0.49097   1.09390  -1.97272   1.57828  -0.16516  -1.35456   2.00000  -1.35456  -0.16516   1.57828  -1.97272   1.09390   0.49097  -1.75895   1.89163  -0.80339  -0.80339   1.89163  -1.75895   0.49097   1.09390  -1.97272   1.57828  -0.16516  -1.35456   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E43      2.00000  -1.43357   0.05511   1.35456  -1.99696   1.50821  -0.16516  -1.27145   1.98786  -1.57828   0.27471   1.18447  -1.97272   1.64356  -0.38342  -1.09390   1.95159  -1.70384   0.49097   1.00000  -1.92454   1.75895  -0.59703  -0.90307   1.89163  -1.80871   0.70128   0.80339  -1.85299   1.85299  -0.80339  -0.70128   1.80871  -1.89163   0.90307   0.59703  -1.75895   1.92454  -1.00000  -0.49097   1.70384  -1.95159   1.09390   0.38342  -1.64356   1.97272  -1.18447  -0.27471   1.57828  -1.98786   1.27145   0.16516  -1.50821   1.99696  -1.35456  -0.05511   1.43357  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E44      2.00000  -1.50821   0.27471   1.09390  -1.92454   1.80871  -0.80339  -0.59703   1.70384  -1.97272   1.27145   0.05511  -1.35456   1.98786  -1.64356   0.49097   0.90307  -1.85299   1.89163  -1.00000  -0.38342   1.57828  -1.99696   1.43357  -0.16516  -1.18447   1.95159  -1.75895   0.70128   0.70128  -1.75895   1.95159  -1.18447  -0.16516   1.43357  -1.99696   1.57828  -0.38342  -1.00000   1.89163  -1.85299   0.90307   0.49097  -1.64356   1.98786  -1.35456   0.05511   1.27145  -1.97272   1.70384  -0.59703  -0.80339   1.80871  -1.92454   1.09390   0.27471  -1.50821   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E45      2.00000  -1.57828   0.49097   0.80339  -1.75895   1.97272  -1.35456   0.16516   1.09390  -1.89163   1.89163  -1.09390  -0.16516   1.35456  -1.97272   1.75895  -0.80339  -0.49097   1.57828  -2.00000   1.57828  -0.49097  -0.80339   1.75895  -1.97272   1.35456  -0.16516  -1.09390   1.89163  -1.89163   1.09390   0.16516  -1.35456   1.97272  -1.75895   0.80339   0.49097  -1.57828   2.00000  -1.57828   0.49097   0.80339  -1.75895   1.97272  -1.35456   0.16516   1.09390  -1.89163   1.89163  -1.09390  -0.16516   1.35456  -1.97272   1.75895  -0.80339  -0.49097   1.57828  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E46      2.00000  -1.64356   0.70128   0.49097  -1.50821   1.98786  -1.75895   0.90307   0.27471  -1.35456   1.95159  -1.85299   1.09390   0.05511  -1.18447   1.89163  -1.92454   1.27145  -0.16516  -1.00000   1.80871  -1.97272   1.43357  -0.38342  -0.80339   1.70384  -1.99696   1.57828  -0.59703  -0.59703   1.57828  -1.99696   1.70384  -0.80339  -0.38342   1.43357  -1.97272   1.80871  -1.00000  -0.16516   1.27145  -1.92454   1.89163  -1.18447   0.05511   1.09390  -1.85299   1.95159  -1.35456   0.27471   0.90307  -1.75895   1.98786  -1.50821   0.49097   0.70128  -1.64356   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E47      2.00000  -1.70384   0.90307   0.16516  -1.18447   1.85299  -1.97272   1.50821  -0.59703  -0.49097   1.43357  -1.95159   1.89163  -1.27145   0.27471   0.80339  -1.64356   1.99696  -1.75895   1.00000   0.05511  -1.09390   1.80871  -1.98786   1.57828  -0.70128  -0.38342   1.35456  -1.92454   1.92454  -1.35456   0.38342   0.70128  -1.57828   1.98786  -1.80871   1.09390  -0.05511  -1.00000   1.75895  -1.99696   1.64356  -0.80339  -0.27471   1.27145  -1.89163   1.95159  -1.43357   0.49097   0.59703  -1.50821   1.97272  -1.85299   1.18447  -0.16516  -0.90307   1.70384  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E48      2.00000  -1.75895   1.09390  -0.16516  -0.80339   1.57828  -1.97272   1.89163  -1.35456   0.49097   0.49097  -1.35456   1.89163  -1.97272   1.57828  -0.80339  -0.16516   1.09390  -1.75895   2.00000  -1.75895   1.09390  -0.16516  -0.80339   1.57828  -1.97272   1.89163  -1.35456   0.49097   0.49097  -1.35456   1.89163  -1.97272   1.57828  -0.80339  -0.16516   1.09390  -1.75895   2.00000  -1.75895   1.09390  -0.16516  -0.80339   1.57828  -1.97272   1.89163  -1.35456   0.49097   0.49097  -1.35456   1.89163  -1.97272   1.57828  -0.80339  -0.16516   1.09390  -1.75895   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E49      2.00000  -1.80871   1.27145  -0.49097  -0.38342   1.18447  -1.75895   1.99696  -1.85299   1.35456  -0.59703  -0.27471   1.09390  -1.70384   1.98786  -1.89163   1.43357  -0.70128  -0.16516   1.00000  -1.64356   1.97272  -1.92454   1.50821  -0.80339  -0.05511   0.90307  -1.57828   1.95159  -1.95159   1.57828  -0.90307   0.05511   0.80339  -1.50821   1.92454  -1.97272   1.64356  -1.00000   0.16516   0.70128  -1.43357   1.89163  -1.98786   1.70384  -1.09390   0.27471   0.59703  -1.35456   1.85299  -1.99696   1.75895  -1.18447   0.38342   0.49097  -1.27145   1.80871  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E50      2.00000  -1.85299   1.43357  -0.80339   0.05511   0.70128  -1.35456   1.80871  -1.99696   1.89163  -1.50821   0.90307  -0.16516  -0.59703   1.27145  -1.75895   1.98786  -1.92454   1.57828  -1.00000   0.27471   0.49097  -1.18447   1.70384  -1.97272   1.95159  -1.64356   1.09390  -0.38342  -0.38342   1.09390  -1.64356   1.95159  -1.97272   1.70384  -1.18447   0.49097   0.27471  -1.00000   1.57828  -1.92454   1.98786  -1.75895   1.27145  -0.59703  -0.16516   0.90307  -1.50821   1.89163  -1.99696   1.80871  -1.35456   0.70128   0.05511  -0.80339   1.43357  -1.85299   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E51      2.00000  -1.89163   1.57828  -1.09390   0.49097   0.16516  -0.80339   1.35456  -1.75895   1.97272  -1.97272   1.75895  -1.35456   0.80339  -0.16516  -0.49097   1.09390  -1.57828   1.89163  -2.00000   1.89163  -1.57828   1.09390  -0.49097  -0.16516   0.80339  -1.35456   1.75895  -1.97272   1.97272  -1.75895   1.35456  -0.80339   0.16516   0.49097  -1.09390   1.57828  -1.89163   2.00000  -1.89163   1.57828  -1.09390   0.49097   0.16516  -0.80339   1.35456  -1.75895   1.97272  -1.97272   1.75895  -1.35456   0.80339  -0.16516  -0.49097   1.09390  -1.57828   1.89163  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E52      2.00000  -1.92454   1.70384  -1.35456   0.90307  -0.38342  -0.16516   0.70128  -1.18447   1.57828  -1.85299   1.98786  -1.97272   1.80871  -1.50821   1.09390  -0.59703   0.05511   0.49097  -1.00000   1.43357  -1.75895   1.95159  -1.99696   1.89163  -1.64356   1.27145  -0.80339   0.27471   0.27471  -0.80339   1.27145  -1.64356   1.89163  -1.99696   1.95159  -1.75895   1.43357  -1.00000   0.49097   0.05511  -0.59703   1.09390  -1.50821   1.80871  -1.97272   1.98786  -1.85299   1.57828  -1.18447   0.70128  -0.16516  -0.38342   0.90307  -1.35456   1.70384  -1.92454   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E53      2.00000  -1.95159   1.80871  -1.57828   1.27145  -0.90307   0.49097  -0.05511  -0.38342   0.80339  -1.18447   1.50821  -1.75895   1.92454  -1.99696   1.97272  -1.85299   1.64356  -1.35456   1.00000  -0.59703   0.16516   0.27471  -0.70128   1.09390  -1.43357   1.70384  -1.89163   1.98786  -1.98786   1.89163  -1.70384   1.43357  -1.09390   0.70128  -0.27471  -0.16516   0.59703  -1.00000   1.35456  -1.64356   1.85299  -1.97272   1.99696  -1.92454   1.75895  -1.50821   1.18447  -0.80339   0.38342   0.05511  -0.49097   0.90307  -1.27145   1.57828  -1.80871   1.95159  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E54      2.00000  -1.97272   1.89163  -1.75895   1.57828  -1.35456   1.09390  -0.80339   0.49097  -0.16516  -0.16516   0.49097  -0.80339   1.09390  -1.35456   1.57828  -1.75895   1.89163  -1.97272   2.00000  -1.97272   1.89163  -1.75895   1.57828  -1.35456   1.09390  -0.80339   0.49097  -0.16516  -0.16516   0.49097  -0.80339   1.09390  -1.35456   1.57828  -1.75895   1.89163  -1.97272   2.00000  -1.97272   1.89163  -1.75895   1.57828  -1.35456   1.09390  -0.80339   0.49097  -0.16516  -0.16516   0.49097  -0.80339   1.09390  -1.35456   1.57828  -1.75895   1.89163  -1.97272   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E55      2.00000  -1.98786   1.95159  -1.89163   1.80871  -1.70384   1.57828  -1.43357   1.27145  -1.09390   0.90307  -0.70128   0.49097  -0.27471   0.05511   0.16516  -0.38342   0.59703  -0.80339   1.00000  -1.18447   1.35456  -1.50821   1.64356  -1.75895   1.85299  -1.92454   1.97272  -1.99696   1.99696  -1.97272   1.92454  -1.85299   1.75895  -1.64356   1.50821  -1.35456   1.18447  -1.00000   0.80339  -0.59703   0.38342  -0.16516  -0.05511   0.27471  -0.49097   0.70128  -0.90307   1.09390  -1.27145   1.43357  -1.57828   1.70384  -1.80871   1.89163  -1.95159   1.98786  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E56      2.00000  -1.99696   1.98786  -1.97272   1.95159  -1.92454   1.89163  -1.85299   1.80871  -1.75895   1.70384  -1.64356   1.57828  -1.50821   1.43357  -1.35456   1.27145  -1.18447   1.09390  -1.00000   0.90307  -0.80339   0.70128  -0.59703   0.49097  -0.38342   0.27471  -0.16516   0.05511   0.05511  -0.16516   0.27471  -0.38342   0.49097  -0.59703   0.70128  -0.80339   0.90307  -1.00000   1.09390  -1.18447   1.27145  -1.35456   1.43357  -1.50821   1.57828  -1.64356   1.70384  -1.75895   1.80871  -1.85299   1.89163  -1.92454   1.95159  -1.97272   1.98786  -1.99696   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.996963032867 = 2*cos(2*π/114) = 2*cos(π/57)
                               1.987861354636 = 2*cos(4*π/114) = 2*cos(2*π/57)
                               1.972722606805 = 2*cos(6*π/114) = 2*cos(π/19)
                               1.951592765255 = 2*cos(8*π/114) = 2*cos(4*π/57)
                               1.924536000619 = 2*cos(10*π/114) = 2*cos(5*π/57)
                               1.891634483401 = 2*cos(12*π/114) = 2*cos(2*π/19)
                               1.852988134430 = 2*cos(14*π/114) = 2*cos(7*π/57)
                               1.808714321395 = 2*cos(16*π/114) = 2*cos(8*π/57)
                               1.758947502413 = 2*cos(18*π/114) = 2*cos(3*π/19)
                               1.703838817677 = 2*cos(20*π/114) = 2*cos(10*π/57)
                               1.643555630450 = 2*cos(22*π/114) = 2*cos(11*π/57)
                               1.578281018793 = 2*cos(24*π/114) = 2*cos(4*π/19)
                               1.508213219554 = 2*cos(26*π/114) = 2*cos(13*π/57)
                               1.433565026337 = 2*cos(28*π/114) = 2*cos(14*π/57)
                               1.354563143251 = 2*cos(30*π/114) = 2*cos(5*π/19)
                               1.271447496420 = 2*cos(32*π/114) = 2*cos(16*π/57)
                               1.184470505330 = 2*cos(34*π/114) = 2*cos(17*π/57)
                               1.093896316245 = 2*cos(36*π/114) = 2*cos(6*π/19)
                               0.903066716622 = 2*cos(40*π/114) = 2*cos(20*π/57)
                               0.803390849306 = 2*cos(42*π/114) = 2*cos(7*π/19)
                               0.701275110386 = 2*cos(44*π/114) = 2*cos(22*π/57)
                               0.597029622003 = 2*cos(46*π/114) = 2*cos(23*π/57)
                               0.490970974282 = 2*cos(48*π/114) = 2*cos(8*π/19)
                               0.383421263847 = 2*cos(50*π/114) = 2*cos(25*π/57)
                               0.274707115637 = 2*cos(52*π/114) = 2*cos(26*π/57)
                               0.165158690945 = 2*cos(54*π/114) = 2*cos(9*π/19)
                               0.055108684736 = 2*cos(56*π/114) = 2*cos(28*π/57)



 Symmetry of Rotations and Cartesian products

A1   p+d+f+g+h+i+j+k+l+m    z, z2, z3, z4, z5, z6 
A2   R                      Rz 
E1   R+p+d+f+g+h+i+j+k+l+m  {Rx, Ry}, {x, y}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} 
E2   d+f+g+h+i+j+k+l+m      {x2y2, xy}, {z(x2y2), xyz}, {z2(x2y2), xyz2}, {z3(x2y2), xyz3}, {z4(x2y2), xyz4} 
E3   f+g+h+i+j+k+l+m        {x(x2−3y2), y(3x2y2)}, {xz(x2−3y2), yz(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4   g+h+i+j+k+l+m          {(x2y2)2−4x2y2, xy(x2y2)}, {z((x2y2)2−4x2y2), xyz(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5   h+i+j+k+l+m            {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6   i+j+k+l+m              {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7   j+k+l+m 
E8   k+l+m 
E9   l+m 
E10  m 

 Notes:

    α  The order of the C114v point group is 228, and the order of the principal axis (C114) is 114. The group has 60 irreducible representations.

    β  The C114v point group is isomorphic to D57d, D57h and D114.

    γ  The C114v point group is generated by two symmetry elements, C114 and any σv (or, non-canonically, any σd).
       Also, the group may be generated from a σv plus a σd (some pairs will yield smaller groups, though; choosing a minimum angle is safe).

    δ  There are two different sets of symmetry planes containing the principal axis (z axis in standard orientation).
       By convention, the set denoted as σv has the xz plane as a member, while the yz plane is a member of the σd set.

    ε  The lowest nonvanishing multipole moment in C114v is 2 (dipole moment).

    ζ  This point group is non-Abelian (some symmetry operations are not commutative).
       Therefore, the character table contains multi-membered classes and degenerate irreducible representations.

    η  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.

    θ  The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible
       if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given
       by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three.
       All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.

This Character Table for the C114v point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.