C95 E 2 C95 2 C95^2 2 C95^3 2 C95^4 2 C19 2 C95^6 2 C95^7 2 C95^8 2 C95^9 2 C19^2 2 C95^11 2 C95^12 2 C95^13 2 C95^14 2 C19^3 2 C95^16 2 C95^17 2 C95^18 2 C5 2 C19^4 2 C95^21 2 C95^22 2 C95^23 2 C95^24 2 C19^5 2 C95^26 2 C95^27 2 C95^28 2 C95^29 2 C19^6 2 C95^31 2 C95^32 2 C95^33 2 C95^34 2 C19^7 2 C95^36 2 C95^37 2 C5^2 2 C95^39 2 C19^8 2 C95^41 2 C95^42 2 C95^43 2 C95^44 2 C19^9 2 C95^46 2 C95^47 <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A 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 ............T E1 * 2.00000 1.99563 1.98253 1.96076 1.93042 1.89163 1.84458 1.78946 1.72651 1.65602 1.57828 1.49364 1.40247 1.30517 1.20216 1.09390 0.98085 0.86351 0.74239 0.61803 0.49097 0.36176 0.23097 0.09917 -0.03307 -0.16516 -0.29653 -0.42660 -0.55481 -0.68059 -0.80339 -0.92268 -1.03794 -1.14866 -1.25435 -1.35456 -1.44885 -1.53680 -1.61803 -1.69219 -1.75895 -1.81801 -1.86913 -1.91207 -1.94665 -1.97272 -1.99017 -1.99891 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98253 1.93042 1.84458 1.72651 1.57828 1.40247 1.20216 0.98085 0.74239 0.49097 0.23097 -0.03307 -0.29653 -0.55481 -0.80339 -1.03794 -1.25435 -1.44885 -1.61803 -1.75895 -1.86913 -1.94665 -1.99017 -1.99891 -1.97272 -1.91207 -1.81801 -1.69219 -1.53680 -1.35456 -1.14866 -0.92268 -0.68059 -0.42660 -0.16516 0.09917 0.36176 0.61803 0.86351 1.09390 1.30517 1.49364 1.65602 1.78946 1.89163 1.96076 1.99563 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.96076 1.84458 1.65602 1.40247 1.09390 0.74239 0.36176 -0.03307 -0.42660 -0.80339 -1.14866 -1.44885 -1.69219 -1.86913 -1.97272 -1.99891 -1.94665 -1.81801 -1.61803 -1.35456 -1.03794 -0.68059 -0.29653 0.09917 0.49097 0.86351 1.20216 1.49364 1.72651 1.89163 1.98253 1.99563 1.93042 1.78946 1.57828 1.30517 0.98085 0.61803 0.23097 -0.16516 -0.55481 -0.92268 -1.25435 -1.53680 -1.75895 -1.91207 -1.99017 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.93042 1.72651 1.40247 0.98085 0.49097 -0.03307 -0.55481 -1.03794 -1.44885 -1.75895 -1.94665 -1.99891 -1.91207 -1.69219 -1.35456 -0.92268 -0.42660 0.09917 0.61803 1.09390 1.49364 1.78946 1.96076 1.99563 1.89163 1.65602 1.30517 0.86351 0.36176 -0.16516 -0.68059 -1.14866 -1.53680 -1.81801 -1.97272 -1.99017 -1.86913 -1.61803 -1.25435 -0.80339 -0.29653 0.23097 0.74239 1.20216 1.57828 1.84458 1.98253 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 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 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.84458 1.40247 0.74239 -0.03307 -0.80339 -1.44885 -1.86913 -1.99891 -1.81801 -1.35456 -0.68059 0.09917 0.86351 1.49364 1.89163 1.99563 1.78946 1.30517 0.61803 -0.16516 -0.92268 -1.53680 -1.91207 -1.99017 -1.75895 -1.25435 -0.55481 0.23097 0.98085 1.57828 1.93042 1.98253 1.72651 1.20216 0.49097 -0.29653 -1.03794 -1.61803 -1.94665 -1.97272 -1.69219 -1.14866 -0.42660 0.36176 1.09390 1.65602 1.96076 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.78946 1.20216 0.36176 -0.55481 -1.35456 -1.86913 -1.99017 -1.69219 -1.03794 -0.16516 0.74239 1.49364 1.93042 1.96076 1.57828 0.86351 -0.03307 -0.92268 -1.61803 -1.97272 -1.91207 -1.44885 -0.68059 0.23097 1.09390 1.72651 1.99563 1.84458 1.30517 0.49097 -0.42660 -1.25435 -1.81801 -1.99891 -1.75895 -1.14866 -0.29653 0.61803 1.40247 1.89163 1.98253 1.65602 0.98085 0.09917 -0.80339 -1.53680 -1.94665 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.72651 0.98085 -0.03307 -1.03794 -1.75895 -1.99891 -1.69219 -0.92268 0.09917 1.09390 1.78946 1.99563 1.65602 0.86351 -0.16516 -1.14866 -1.81801 -1.99017 -1.61803 -0.80339 0.23097 1.20216 1.84458 1.98253 1.57828 0.74239 -0.29653 -1.25435 -1.86913 -1.97272 -1.53680 -0.68059 0.36176 1.30517 1.89163 1.96076 1.49364 0.61803 -0.42660 -1.35456 -1.91207 -1.94665 -1.44885 -0.55481 0.49097 1.40247 1.93042 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.65602 0.74239 -0.42660 -1.44885 -1.97272 -1.81801 -1.03794 0.09917 1.20216 1.89163 1.93042 1.30517 0.23097 -0.92268 -1.75895 -1.99017 -1.53680 -0.55481 0.61803 1.57828 1.99563 1.72651 0.86351 -0.29653 -1.35456 -1.94665 -1.86913 -1.14866 -0.03307 1.09390 1.84458 1.96076 1.40247 0.36176 -0.80339 -1.69219 -1.99891 -1.61803 -0.68059 0.49097 1.49364 1.98253 1.78946 0.98085 -0.16516 -1.25435 -1.91207 ... ... ..... ....... ......... ........... ............. E10 * 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 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.49364 0.23097 -1.14866 -1.94665 -1.75895 -0.68059 0.74239 1.78946 1.93042 1.09390 -0.29653 -1.53680 -1.99891 -1.44885 -0.16516 1.20216 1.96076 1.72651 0.61803 -0.80339 -1.81801 -1.91207 -1.03794 0.36176 1.57828 1.99563 1.40247 0.09917 -1.25435 -1.97272 -1.69219 -0.55481 0.86351 1.84458 1.89163 0.98085 -0.42660 -1.61803 -1.99017 -1.35456 -0.03307 1.30517 1.98253 1.65602 0.49097 -0.92268 -1.86913 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.40247 -0.03307 -1.44885 -1.99891 -1.35456 0.09917 1.49364 1.99563 1.30517 -0.16516 -1.53680 -1.99017 -1.25435 0.23097 1.57828 1.98253 1.20216 -0.29653 -1.61803 -1.97272 -1.14866 0.36176 1.65602 1.96076 1.09390 -0.42660 -1.69219 -1.94665 -1.03794 0.49097 1.72651 1.93042 0.98085 -0.55481 -1.75895 -1.91207 -0.92268 0.61803 1.78946 1.89163 0.86351 -0.68059 -1.81801 -1.86913 -0.80339 0.74239 1.84458 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.30517 -0.29653 -1.69219 -1.91207 -0.80339 0.86351 1.93042 1.65602 0.23097 -1.35456 -1.99891 -1.25435 0.36176 1.72651 1.89163 0.74239 -0.92268 -1.94665 -1.61803 -0.16516 1.40247 1.99563 1.20216 -0.42660 -1.75895 -1.86913 -0.68059 0.98085 1.96076 1.57828 0.09917 -1.44885 -1.99017 -1.14866 0.49097 1.78946 1.84458 0.61803 -1.03794 -1.97272 -1.53680 -0.03307 1.49364 1.98253 1.09390 -0.55481 -1.81801 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.20216 -0.55481 -1.86913 -1.69219 -0.16516 1.49364 1.96076 0.86351 -0.92268 -1.97272 -1.44885 0.23097 1.72651 1.84458 0.49097 -1.25435 -1.99891 -1.14866 0.61803 1.89163 1.65602 0.09917 -1.53680 -1.94665 -0.80339 0.98085 1.98253 1.40247 -0.29653 -1.75895 -1.81801 -0.42660 1.30517 1.99563 1.09390 -0.68059 -1.91207 -1.61803 -0.03307 1.57828 1.93042 0.74239 -1.03794 -1.99017 -1.35456 0.36176 1.78946 ... ... ..... ....... ......... ........... ............. E15 * 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 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 0.98085 -1.03794 -1.99891 -0.92268 1.09390 1.99563 0.86351 -1.14866 -1.99017 -0.80339 1.20216 1.98253 0.74239 -1.25435 -1.97272 -0.68059 1.30517 1.96076 0.61803 -1.35456 -1.94665 -0.55481 1.40247 1.93042 0.49097 -1.44885 -1.91207 -0.42660 1.49364 1.89163 0.36176 -1.53680 -1.86913 -0.29653 1.57828 1.84458 0.23097 -1.61803 -1.81801 -0.16516 1.65602 1.78946 0.09917 -1.69219 -1.75895 -0.03307 1.72651 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 0.86351 -1.25435 -1.94665 -0.42660 1.57828 1.78946 -0.03307 -1.81801 -1.53680 0.49097 1.96076 1.20216 -0.92268 -1.99891 -0.80339 1.30517 1.93042 0.36176 -1.61803 -1.75895 0.09917 1.84458 1.49364 -0.55481 -1.97272 -1.14866 0.98085 1.99563 0.74239 -1.35456 -1.91207 -0.29653 1.65602 1.72651 -0.16516 -1.86913 -1.44885 0.61803 1.98253 1.09390 -1.03794 -1.99017 -0.68059 1.40247 1.89163 0.23097 -1.69219 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 0.74239 -1.44885 -1.81801 0.09917 1.89163 1.30517 -0.92268 -1.99017 -0.55481 1.57828 1.72651 -0.29653 -1.94665 -1.14866 1.09390 1.96076 0.36176 -1.69219 -1.61803 0.49097 1.98253 0.98085 -1.25435 -1.91207 -0.16516 1.78946 1.49364 -0.68059 -1.99891 -0.80339 1.40247 1.84458 -0.03307 -1.86913 -1.35456 0.86351 1.99563 0.61803 -1.53680 -1.75895 0.23097 1.93042 1.20216 -1.03794 -1.97272 -0.42660 1.65602 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 ... ... ..... ....... ......... ........... ............. E20 * 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 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.36176 -1.86913 -1.03794 1.49364 1.57828 -0.92268 -1.91207 0.23097 1.99563 0.49097 -1.81801 -1.14866 1.40247 1.65602 -0.80339 -1.94665 0.09917 1.98253 0.61803 -1.75895 -1.25435 1.30517 1.72651 -0.68059 -1.97272 -0.03307 1.96076 0.74239 -1.69219 -1.35456 1.20216 1.78946 -0.55481 -1.99017 -0.16516 1.93042 0.86351 -1.61803 -1.44885 1.09390 1.84458 -0.42660 -1.99891 -0.29653 1.89163 0.98085 -1.53680 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.23097 -1.94665 -0.68059 1.78946 1.09390 -1.53680 -1.44885 1.20216 1.72651 -0.80339 -1.91207 0.36176 1.99563 0.09917 -1.97272 -0.55481 1.84458 0.98085 -1.61803 -1.35456 1.30517 1.65602 -0.92268 -1.86913 0.49097 1.98253 -0.03307 -1.99017 -0.42660 1.89163 0.86351 -1.69219 -1.25435 1.40247 1.57828 -1.03794 -1.81801 0.61803 1.96076 -0.16516 -1.99891 -0.29653 1.93042 0.74239 -1.75895 -1.14866 1.49364 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.09917 -1.99017 -0.29653 1.96076 0.49097 -1.91207 -0.68059 1.84458 0.86351 -1.75895 -1.03794 1.65602 1.20216 -1.53680 -1.35456 1.40247 1.49364 -1.25435 -1.61803 1.09390 1.72651 -0.92268 -1.81801 0.74239 1.89163 -0.55481 -1.94665 0.36176 1.98253 -0.16516 -1.99891 -0.03307 1.99563 0.23097 -1.97272 -0.42660 1.93042 0.61803 -1.86913 -0.80339 1.78946 0.98085 -1.69219 -1.14866 1.57828 1.30517 -1.44885 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 -0.03307 -1.99891 0.09917 1.99563 -0.16516 -1.99017 0.23097 1.98253 -0.29653 -1.97272 0.36176 1.96076 -0.42660 -1.94665 0.49097 1.93042 -0.55481 -1.91207 0.61803 1.89163 -0.68059 -1.86913 0.74239 1.84458 -0.80339 -1.81801 0.86351 1.78946 -0.92268 -1.75895 0.98085 1.72651 -1.03794 -1.69219 1.09390 1.65602 -1.14866 -1.61803 1.20216 1.57828 -1.25435 -1.53680 1.30517 1.49364 -1.35456 -1.44885 1.40247 ... ... ..... ....... ......... ........... ............. E25 * 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 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 -0.29653 -1.91207 0.86351 1.65602 -1.35456 -1.25435 1.72651 0.74239 -1.94665 -0.16516 1.99563 -0.42660 -1.86913 0.98085 1.57828 -1.44885 -1.14866 1.78946 0.61803 -1.97272 -0.03307 1.98253 -0.55481 -1.81801 1.09390 1.49364 -1.53680 -1.03794 1.84458 0.49097 -1.99017 0.09917 1.96076 -0.68059 -1.75895 1.20216 1.40247 -1.61803 -0.92268 1.89163 0.36176 -1.99891 0.23097 1.93042 -0.80339 -1.69219 1.30517 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 -0.42660 -1.81801 1.20216 1.30517 -1.75895 -0.55481 1.99563 -0.29653 -1.86913 1.09390 1.40247 -1.69219 -0.68059 1.98253 -0.16516 -1.91207 0.98085 1.49364 -1.61803 -0.80339 1.96076 -0.03307 -1.94665 0.86351 1.57828 -1.53680 -0.92268 1.93042 0.09917 -1.97272 0.74239 1.65602 -1.44885 -1.03794 1.89163 0.23097 -1.99017 0.61803 1.72651 -1.35456 -1.14866 1.84458 0.36176 -1.99891 0.49097 1.78946 -1.25435 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 -0.55481 -1.69219 1.49364 0.86351 -1.97272 0.23097 1.84458 -1.25435 -1.14866 1.89163 0.09917 -1.94665 0.98085 1.40247 -1.75895 -0.42660 1.99563 -0.68059 -1.61803 1.57828 0.74239 -1.99017 0.36176 1.78946 -1.35456 -1.03794 1.93042 -0.03307 -1.91207 1.09390 1.30517 -1.81801 -0.29653 1.98253 -0.80339 -1.53680 1.65602 0.61803 -1.99891 0.49097 1.72651 -1.44885 -0.92268 1.96076 -0.16516 -1.86913 1.20216 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 -0.68059 -1.53680 1.72651 0.36176 -1.97272 0.98085 1.30517 -1.86913 -0.03307 1.89163 -1.25435 -1.03794 1.96076 -0.29653 -1.75895 1.49364 0.74239 -1.99891 0.61803 1.57828 -1.69219 -0.42660 1.98253 -0.92268 -1.35456 1.84458 0.09917 -1.91207 1.20216 1.09390 -1.94665 0.23097 1.78946 -1.44885 -0.80339 1.99563 -0.55481 -1.61803 1.65602 0.49097 -1.99017 0.86351 1.40247 -1.81801 -0.16516 1.93042 -1.14866 ... ... ..... ....... ......... ........... ............. E30 * 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 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.92268 -1.14866 1.98253 -0.68059 -1.35456 1.93042 -0.42660 -1.53680 1.84458 -0.16516 -1.69219 1.72651 0.09917 -1.81801 1.57828 0.36176 -1.91207 1.40247 0.61803 -1.97272 1.20216 0.86351 -1.99891 0.98085 1.09390 -1.99017 0.74239 1.30517 -1.94665 0.49097 1.49364 -1.86913 0.23097 1.65602 -1.75895 -0.03307 1.78946 -1.61803 -0.29653 1.89163 -1.44885 -0.55481 1.96076 -1.25435 -0.80339 1.99563 -1.03794 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -1.03794 -0.92268 1.99563 -1.14866 -0.80339 1.98253 -1.25435 -0.68059 1.96076 -1.35456 -0.55481 1.93042 -1.44885 -0.42660 1.89163 -1.53680 -0.29653 1.84458 -1.61803 -0.16516 1.78946 -1.69219 -0.03307 1.72651 -1.75895 0.09917 1.65602 -1.81801 0.23097 1.57828 -1.86913 0.36176 1.49364 -1.91207 0.49097 1.40247 -1.94665 0.61803 1.30517 -1.97272 0.74239 1.20216 -1.99017 0.86351 1.09390 -1.99891 0.98085 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -1.14866 -0.68059 1.93042 -1.53680 -0.16516 1.72651 -1.81801 0.36176 1.40247 -1.97272 0.86351 0.98085 -1.99017 1.30517 0.49097 -1.86913 1.65602 -0.03307 -1.61803 1.89163 -0.55481 -1.25435 1.99563 -1.03794 -0.80339 1.96076 -1.44885 -0.29653 1.78946 -1.75895 0.23097 1.49364 -1.94665 0.74239 1.09390 -1.99891 1.20216 0.61803 -1.91207 1.57828 0.09917 -1.69219 1.84458 -0.42660 -1.35456 1.98253 -0.92268 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -1.25435 -0.42660 1.78946 -1.81801 0.49097 1.20216 -1.99891 1.30517 0.36176 -1.75895 1.84458 -0.55481 -1.14866 1.99563 -1.35456 -0.29653 1.72651 -1.86913 0.61803 1.09390 -1.99017 1.40247 0.23097 -1.69219 1.89163 -0.68059 -1.03794 1.98253 -1.44885 -0.16516 1.65602 -1.91207 0.74239 0.98085 -1.97272 1.49364 0.09917 -1.61803 1.93042 -0.80339 -0.92268 1.96076 -1.53680 -0.03307 1.57828 -1.94665 0.86351 ... ... ..... ....... ......... ........... ............. E35 * 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 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -1.44885 0.09917 1.30517 -1.99017 1.57828 -0.29653 -1.14866 1.96076 -1.69219 0.49097 0.98085 -1.91207 1.78946 -0.68059 -0.80339 1.84458 -1.86913 0.86351 0.61803 -1.75895 1.93042 -1.03794 -0.42660 1.65602 -1.97272 1.20216 0.23097 -1.53680 1.99563 -1.35456 -0.03307 1.40247 -1.99891 1.49364 -0.16516 -1.25435 1.98253 -1.61803 0.36176 1.09390 -1.94665 1.72651 -0.55481 -0.92268 1.89163 -1.81801 0.74239 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -1.53680 0.36176 0.98085 -1.86913 1.89163 -1.03794 -0.29653 1.49364 -1.99891 1.57828 -0.42660 -0.92268 1.84458 -1.91207 1.09390 0.23097 -1.44885 1.99563 -1.61803 0.49097 0.86351 -1.81801 1.93042 -1.14866 -0.16516 1.40247 -1.99017 1.65602 -0.55481 -0.80339 1.78946 -1.94665 1.20216 0.09917 -1.35456 1.98253 -1.69219 0.61803 0.74239 -1.75895 1.96076 -1.25435 -0.03307 1.30517 -1.97272 1.72651 -0.68059 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -1.69219 0.86351 0.23097 -1.25435 1.89163 -1.94665 1.40247 -0.42660 -0.68059 1.57828 -1.99017 1.78946 -1.03794 -0.03307 1.09390 -1.81801 1.98253 -1.53680 0.61803 0.49097 -1.44885 1.96076 -1.86913 1.20216 -0.16516 -0.92268 1.72651 -1.99891 1.65602 -0.80339 -0.29653 1.30517 -1.91207 1.93042 -1.35456 0.36176 0.74239 -1.61803 1.99563 -1.75895 0.98085 0.09917 -1.14866 1.84458 -1.97272 1.49364 -0.55481 ... ... ..... ....... ......... ........... ............. E40 * 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 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.81801 1.30517 -0.55481 -0.29653 1.09390 -1.69219 1.98253 -1.91207 1.49364 -0.80339 -0.03307 0.86351 -1.53680 1.93042 -1.97272 1.65602 -1.03794 0.23097 0.61803 -1.35456 1.84458 -1.99891 1.78946 -1.25435 0.49097 0.36176 -1.14866 1.72651 -1.99017 1.89163 -1.44885 0.74239 0.09917 -0.92268 1.57828 -1.94665 1.96076 -1.61803 0.98085 -0.16516 -0.68059 1.40247 -1.86913 1.99563 -1.75895 1.20216 -0.42660 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.86913 1.49364 -0.92268 0.23097 0.49097 -1.14866 1.65602 -1.94665 1.98253 -1.75895 1.30517 -0.68059 -0.03307 0.74239 -1.35456 1.78946 -1.99017 1.93042 -1.61803 1.09390 -0.42660 -0.29653 0.98085 -1.53680 1.89163 -1.99891 1.84458 -1.44885 0.86351 -0.16516 -0.55481 1.20216 -1.69219 1.96076 -1.97272 1.72651 -1.25435 0.61803 0.09917 -0.80339 1.40247 -1.81801 1.99563 -1.91207 1.57828 -1.03794 0.36176 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.91207 1.65602 -1.25435 0.74239 -0.16516 -0.42660 0.98085 -1.44885 1.78946 -1.97272 1.98253 -1.81801 1.49364 -1.03794 0.49097 0.09917 -0.68059 1.20216 -1.61803 1.89163 -1.99891 1.93042 -1.69219 1.30517 -0.80339 0.23097 0.36176 -0.92268 1.40247 -1.75895 1.96076 -1.99017 1.84458 -1.53680 1.09390 -0.55481 -0.03307 0.61803 -1.14866 1.57828 -1.86913 1.99563 -1.94665 1.72651 -1.35456 0.86351 -0.29653 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.94665 1.78946 -1.53680 1.20216 -0.80339 0.36176 0.09917 -0.55481 0.98085 -1.35456 1.65602 -1.86913 1.98253 -1.99017 1.89163 -1.69219 1.40247 -1.03794 0.61803 -0.16516 -0.29653 0.74239 -1.14866 1.49364 -1.75895 1.93042 -1.99891 1.96076 -1.81801 1.57828 -1.25435 0.86351 -0.42660 -0.03307 0.49097 -0.92268 1.30517 -1.61803 1.84458 -1.97272 1.99563 -1.91207 1.72651 -1.44885 1.09390 -0.68059 0.23097 ... ... ..... ....... ......... ........... ............. E45 * 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 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.99017 1.96076 -1.91207 1.84458 -1.75895 1.65602 -1.53680 1.40247 -1.25435 1.09390 -0.92268 0.74239 -0.55481 0.36176 -0.16516 -0.03307 0.23097 -0.42660 0.61803 -0.80339 0.98085 -1.14866 1.30517 -1.44885 1.57828 -1.69219 1.78946 -1.86913 1.93042 -1.97272 1.99563 -1.99891 1.98253 -1.94665 1.89163 -1.81801 1.72651 -1.61803 1.49364 -1.35456 1.20216 -1.03794 0.86351 -0.68059 0.49097 -0.29653 0.09917 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.99891 1.99563 -1.99017 1.98253 -1.97272 1.96076 -1.94665 1.93042 -1.91207 1.89163 -1.86913 1.84458 -1.81801 1.78946 -1.75895 1.72651 -1.69219 1.65602 -1.61803 1.57828 -1.53680 1.49364 -1.44885 1.40247 -1.35456 1.30517 -1.25435 1.20216 -1.14866 1.09390 -1.03794 0.98085 -0.92268 0.86351 -0.80339 0.74239 -0.68059 0.61803 -0.55481 0.49097 -0.42660 0.36176 -0.29653 0.23097 -0.16516 0.09917 -0.03307 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.995627254438 = 2*cos(2*π/95) 1.982528138654 = 2*cos(4*π/95) 1.960759931750 = 2*cos(6*π/95) 1.930417820555 = 2*cos(8*π/95) 1.891634483401 = 2*cos(10*π/95) = 2*cos(2*π/19) 1.844579509955 = 2*cos(12*π/95) 1.789458659641 = 2*cos(14*π/95) 1.726512961915 = 2*cos(16*π/95) 1.656017662296 = 2*cos(18*π/95) 1.578281018793 = 2*cos(20*π/95) = 2*cos(4*π/19) 1.493642953968 = 2*cos(22*π/95) 1.402473568545 = 2*cos(24*π/95) 1.305171523048 = 2*cos(26*π/95) 1.202162294566 = 2*cos(28*π/95) 1.093896316245 = 2*cos(30*π/95) = 2*cos(6*π/19) 0.980847007661 = 2*cos(32*π/95) 0.863508704677 = 2*cos(34*π/95) 0.742394497836 = 2*cos(36*π/95) 0.618033988750 = 2*cos(38*π/95) = 2*cos(2*π/5) = (√5-1)/2 0.490970974281 = 2*cos(40*π/95) = 2*cos(8*π/19) 0.361761068664 = 2*cos(42*π/95) 0.230969273939 = 2*cos(44*π/95) 0.099167509346 = 2*cos(46*π/95) -0.033067889533 = 2*cos(48*π/95) -0.165158690945 = 2*cos(50*π/95) = 2*cos(10*π/19) -0.296527295424 = 2*cos(52*π/95) -0.426599261488 = 2*cos(54*π/95) -0.554805817524 = 2*cos(56*π/95) -0.680586348884 = 2*cos(58*π/95) -0.803390849306 = 2*cos(60*π/95) = 2*cos(12*π/19) -0.922682325958 = 2*cos(62*π/95) -1.037939147563 = 2*cos(64*π/95) -1.148657325366 = 2*cos(66*π/95) -1.254352716947 = 2*cos(68*π/95) -1.354563143252 = 2*cos(70*π/95) = 2*cos(14*π/19) -1.448850409582 = 2*cos(72*π/95) -1.536802221714 = 2*cos(74*π/95) -1.618033988750 = 2*cos(76*π/95) = 2*cos(4*π/5) = -(1+√5)/2 -1.692190504842 = 2*cos(78*π/95) -1.758947502413 = 2*cos(80*π/95) = 2*cos(16*π/19) -1.818013070098 = 2*cos(82*π/95) -1.869128929199 = 2*cos(84*π/95) -1.912071563069 = 2*cos(86*π/95) -1.946653194496 = 2*cos(88*π/95) -1.972722606806 = 2*cos(90*π/95) = 2*cos(18*π/19) -1.990165805090 = 2*cos(92*π/95) -1.998906514682 = 2*cos(94*π/95) Symmetry of Rotations and Cartesian products A R+p+d+f+g+h+i z, Rz, z2, z3, z4, z5, z6 E1 R+p+d+f+g+h+i {x, y}, {Rx, Ry}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} E2 d+f+g+h+i {x2–y2, xy}, {z(x2–y2), xyz}, {z2(x2–y2), xyz2}, {z3(x2–y2), xyz3}, {z4(x2–y2), xyz4} E3 f+g+h+i {x(x2–3y2), y(3x2–y2)}, {xz(x2–3y2), yz(3x2–y2)}, {xz2(x2–3y2), yz2(3x2–y2)}, {xz3(x2–3y2), yz3(3x2–y2)} E4 g+h+i {(x2–y2)2–2x2y2, xy(x2–y2)}, {z((x2–y2)2–4x2y2), xyz(x2–y2)}, {z2((x2–y2)2–4x2y2), xyz2(x2–y2)} E5 h+i {x(x2–(5+2√5)y2)(x2–(5–2√5)y2), y(y2–(5+2√5)x2)(y2–(5–2√5)x2)(y2–(5–2√5)x2)}, {xz(x2–(5+2√5)y2)(x2–(5–2√5)y2), yz(y2–(5+2√5)x2)(y2–(5–2√5)x2)(y2–(5–2√5)x2)} E6 i {x2(x2–3y2)2–y2(3x2–y2)2, xy(x2–3y2)(3x2–y2)} Notes: α The order of the C95 point group is 95, and the order of the principal axis is 95. β This is an Abelian point group (the commutative law holds between all symmetry operations). The C95 group is Abelian because it contains only one symmetry element, all the powers of which necessarily commute (sufficient condition). In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional. γ Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters. These 94 cases have been combined into 47 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 47 pairs of left and right rotations have been combined into one two-membered pseudo-class each. δ The 47 reducible "E" representations almost behave like true irreducible representations. Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table. This is essential when trying to decompose a reducible representation into "irreducible" ones using the familiar projection formula. ε The point group is chiral, as it does not contain any mirroring operation. ζ 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 less than half the order of the principal axis (and often much less). For this group, however, some of the characters cannot be expressed by a closed algebraic form using real numbers only.
| C94 | ||
| C95 | C95v C95h D95 D95h D95d | |
| C96 |
This Character Table for the C95 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.