fixed bug in FOBOSCF

Fix too long gms  converter

.gitignore

@@ -1,4 +1,5 @@
 quantum_package.rc
+config/ifort.cfg
 quantum_package_static.tar.gz
 build.ninja
 .ninja_log

.travis.yml

@@ -4,16 +4,21 @@
 #  - sudo apt-get install gfortran liblapack-dev gcc
 #  - sudo apt-get install graphviz
 
+os: linux
+
+dist: trusty
+
 sudo: false
 
+compiler: gfortran
+
 addons:
   apt:
     packages:
-    - zlib1g-dev
-    - libgmp3-dev
     - gfortran
     - gcc
-    - liblapack-dev
+#    - liblapack-dev
+#    - libblas-dev
     - graphviz
 
 cache:
@@ -25,8 +30,9 @@ python:
     - "2.6"
 
 script: 
-  - ./configure  --production ./config/gfortran.cfg
-  - source ./quantum_package.rc ; qp_module.py install Full_CI Hartree_Fock CAS_SD MRCC_CASSD All_singles
+  - ./configure  ./config/travis.cfg
+  - source ./quantum_package.rc ; qp_module.py install Full_CI Full_CI_ZMQ Hartree_Fock CAS_SD_ZMQ mrcepa0 All_singles
+  - source ./quantum_package.rc ; cd ~ ; install_lapack.sh ; cd $QP_ROOT
   - source ./quantum_package.rc ; ninja
   - source ./quantum_package.rc ; cd ocaml ; make ; cd -
-  - source ./quantum_package.rc ; cd tests ; ./run_tests.sh #-v
+  - source ./quantum_package.rc ; cd tests ; ./run_tests.sh -v

README.md

@@ -1,3 +1,11 @@
+## IMPORTANT
+
+This repository is version 1 of QP. **This version is not supported any more**.
+
+Version 2 is available here : https://github.com/QuantumPackage/qp2
+
+----------------------------------
+
 ![QP](https://raw.githubusercontent.com/LCPQ/quantum_package/master/data/qp.png)     
 [![Build Status](https://travis-ci.org/LCPQ/quantum_package.svg?branch=master)](https://travis-ci.org/LCPQ/quantum_package)
 [![Gitter](https://badges.gitter.im/Join%20Chat.svg)](https://gitter.im/LCPQ/quantum_package?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge)
@@ -5,7 +13,7 @@
 Set of quantum chemistry programs and libraries. 
 (under GNU GENERAL PUBLIC LICENSE v2)
 
-For more information, you can visit the [wiki of the project](http://github.com/LCPQ/quantum_package/wiki>), or below for the installation instructions.
+For more information, you can visit the [wiki of the project](http://github.com/LCPQ/quantum_package/wiki), or below for the installation instructions.
 
 
 
@@ -24,7 +32,7 @@ Demo
 * Python >= 2.6
 * GNU make
 * Bash
-* Blast/Lapack
+* Blas/Lapack
 * unzip
 * g++ (For ninja)
 
@@ -32,27 +40,21 @@ Demo
 
 ### 1) Configure
 
-    $ ./configure <config_file> (--production | --development)
+    $ ./configure <config_file> 
     
-For example you can type `./configure config/gfortran.cfg --production`
+For example you can type `./configure config/gfortran.cfg`
 
 This command has two purposes :
 
  - Download and install all the requirements.
    Installing OCaml and the Core library may take some time (up to 20min on an old machine).
  - Create the file which contains all the dependencies for the binaries.  
-   It's not a Makefile, but a Ninja file (so don't type `make` is hopeless, type `ninja` instead)
+   It's not a Makefile, but a Ninja file (so don't type `make` it's hopeless, type `ninja` instead)
 
-####Compilation Flags (`<config_file>`)
+#### Compilation Flags (`<config_file>`)
 
 `<config_file>` is the path to the file which contains all the compilation flags (optimization flags, Lapack libary, etc). There are two example configure files in  ``$QP_ROOT/config`` : ``ifort.cfg`` and ``gfortran.cfg``.  You can copy these files to create a new file adapted to your architecture. 
 
-#### What utilization of the code will you do?
-
-* If you only want the binaries (for production workflow) use the flag
-  `--production`. It compiles faster. 
-* Else if you are a developer and you want to be able to compile specific modules use: `--development`. It will create the `build.ninja` in each module.
-
 ### 2) Load environment variables
  
     source quantum_package.rc
@@ -75,24 +77,16 @@ Usage:
 
 ### 3) Compiling the Fortran
 
-Just type `ninja` if you are in `$QP_ROOT` (or `ninja -f $QP_ROOT/build.ninja` elsewhere). The compilation will take approximately 3 min.
-
-If you have set the `--developement` flag you can go in any module directory and run `ninja` to build only this particular module. You can type `ninja all` in a module to compile all the submodules.
-
-
-### 4) Compiling the OCaml
-
-    make -C ocaml
+Just type `ninja` if you are in `$QP_ROOT`. The compilation will take approximately 3 min.
 
 ### 5) Testing if all is ok
 
-    cd tests ; bats bats/qp.bats 
-
+    cd tests ; ./run_tests.sh
 
 
 # Note on EZFIO.cfg
 
-##Format specification :
+## Format specification:
 
 ```
 Required:
@@ -119,7 +113,7 @@ Optional:
                               (by default is <module_lower>)
 ```
 
-##Example of EZFIO.cfg:
+## Example of EZFIO.cfg:
 
 ```
 [thresh_SCF]
@@ -135,20 +129,24 @@ doc: Calculated HF energy
 interface: ezfio
 ```
 
-#FAQ
+# FAQ
+
+### My hartree-Fock segfault !
+
+A old version of Lapack have a bug. Just relax your convergence criterium
+
 
 ### Error: ezfio_* is already defined.
 
 #### Why ?
 
-You have two or more ezfio configuration files for the same variable. Check files in `$QP_ROOT/install/EZFIO/config/`
+You have two or more ezfio configuration files for the same variable. Check files in `$QP_ROOT/install/EZFIO/config/` and the all the `EZFIO.cfg`.
 
 #### Fix
 
     - rm $QP_ROOT/install/EZFIO/config/*
     - ninja 
 
-
 ### Error: Seg Fault (139)
 
 ```
@@ -160,7 +158,10 @@ Program exited with code 139.
 
 It's caused when we call the DGEMM routine of LAPACK. 
 
-##### Fix
+#### Fix
 
-Set `ulimit -s unlimited`, before runing `qp_run`. It seem to fix the problem.
+Set `ulimit -s unlimited`, before runing `qp_run`. It seems to fix the problem.
 
+#### Error: f77zmq not symbol found
+
+In the Makefile of the f77zmq, you should NOT use ar but `libtool -static`

bin/qp_gaspi_run

@@ -0,0 +1,6 @@
+#!/bin/bash
+
+QP_ROOT=$( cd $(dirname "${BASH_SOURCE}")/..  ; pwd -P )
+source $HOME/.bashrc
+source $QP_ROOT/quantum_package.rc
+exec $QP_ROOT/ocaml/qp_run $@

config/gfortran.cfg

@@ -11,7 +11,7 @@
 #
 [COMMON]
 FC           : gfortran -ffree-line-length-none -I . 
-LAPACK_LIB   : -llapack -lblas
+LAPACK_LIB   :  -lblas -llapack
 IRPF90       : irpf90
 IRPF90_FLAGS : --ninja --align=32
 

config/gfortran_avx.cfg

@@ -10,7 +10,7 @@
 #
 #
 [COMMON]
-FC           : gfortran -ffree-line-length-none -I . -mavx
+FC           : gfortran -ffree-line-length-none -I . -mavx -g
 LAPACK_LIB   : -llapack -lblas
 IRPF90       : irpf90
 IRPF90_FLAGS : --ninja --align=32

config/gfortran_debug.cfg

@@ -10,10 +10,10 @@
 #
 #
 [COMMON]
-FC           : gfortran -g -ffree-line-length-none -I . -static-libgcc 
-LAPACK_LIB   : -llapack -lblas
+FC           : gfortran -g -ffree-line-length-none -I . 
+LAPACK_LIB   : -lblas -llapack
 IRPF90       : irpf90
-IRPF90_FLAGS : --ninja --assert --align=32 
+IRPF90_FLAGS : --ninja --align=32 --assert 
 
 # Global options
 ################
@@ -51,7 +51,7 @@ FCFLAGS : -Ofast
 # -g           : Extra debugging information
 #
 [DEBUG]
-FCFLAGS : -g -pedantic -msse4.2 
+FCFLAGS : -g -msse4.2  -fcheck=all -Waliasing -Wampersand -Wconversion -Wsurprising -Wintrinsics-std -Wno-tabs -Wintrinsic-shadow -Wline-truncation -Wreal-q-constant 
 
 # OpenMP flags
 #################

config/gfortran_mpi.cfg

@@ -0,0 +1,62 @@
+# Common flags
+##############
+#
+# -ffree-line-length-none : Needed for IRPF90 which produces long lines
+# -lblas -llapack         : Link with libblas and liblapack libraries provided by the system
+# -I .                    : Include the curent directory (Mandatory)
+#
+# --ninja                 : Allow the utilisation of ninja. (Mandatory)
+# --align=32              : Align all provided arrays on a 32-byte boundary
+#
+#
+[COMMON]
+FC           : mpif90 -ffree-line-length-none -I . -g
+LAPACK_LIB   :  -lblas -llapack
+IRPF90       : irpf90
+IRPF90_FLAGS : --ninja --align=32 -DMPI
+
+# Global options
+################
+#
+# 1 : Activate
+# 0 : Deactivate
+#
+[OPTION]
+MODE    : OPT        ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
+CACHE   : 1          ; Enable cache_compile.py
+OPENMP  : 1          ; Append OpenMP flags
+
+# Optimization flags
+####################
+#
+# -Ofast                  : Disregard strict standards compliance. Enables all -O3 optimizations.
+#                           It also enables optimizations that are not valid
+#                           for all standard-compliant programs.  It turns on
+#                           -ffast-math and the Fortran-specific
+#                           -fno-protect-parens and -fstack-arrays.
+[OPT]
+FCFLAGS : -Ofast -msse4.2
+
+# Profiling flags
+#################
+#
+[PROFILE]
+FC      : -p -g
+FCFLAGS : -Ofast  -msse4.2
+
+# Debugging flags
+#################
+#
+# -fcheck=all  : Checks uninitialized variables,  array subscripts, etc...
+# -g           : Extra debugging information
+#
+[DEBUG]
+FCFLAGS : -fcheck=all -g
+
+# OpenMP flags
+#################
+#
+[OPENMP]
+FC           : -fopenmp
+IRPF90_FLAGS : --openmp
+

config/ifort.cfg

@@ -32,13 +32,13 @@ OPENMP  : 1          ; Append OpenMP flags
 #
 [OPT]
 FC       : -traceback
-FCFLAGS  : -xSSE4.2 -O2 -ip -ftz -g -traceback
+FCFLAGS  : -xSSE4.2  -O2 -ip -ftz -g
 
 # Profiling flags
 #################
 #
 [PROFILE]
-FC       : -p -g -traceback
+FC       : -p -g
 FCFLAGS  : -xSSE4.2 -O2 -ip -ftz
 
 # Debugging flags
@@ -52,8 +52,7 @@ FCFLAGS  : -xSSE4.2 -O2 -ip -ftz
 #
 [DEBUG]
 FC      : -g -traceback
-FCFLAGS : -xSSE2 -C  
-IRPF90_FLAGS : --openmp
+FCFLAGS : -xSSE2 -C -fpe0 
 
 # OpenMP flags
 #################

config/ifort_mpi.cfg

@@ -0,0 +1,62 @@
+# Common flags
+##############
+#
+# -mkl=[parallel|sequential] : Use the MKL library
+# --ninja                 : Allow the utilisation of ninja. It is mandatory !
+# --align=32                 : Align all provided arrays on a 32-byte boundary
+#
+[COMMON]
+FC           : mpiifort
+LAPACK_LIB   : -mkl=parallel
+IRPF90       : irpf90
+IRPF90_FLAGS : --ninja --align=32 -DMPI 
+
+# Global options
+################
+#
+# 1 : Activate
+# 0 : Deactivate
+# 
+[OPTION]
+MODE    : OPT        ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
+CACHE   : 1          ; Enable cache_compile.py
+OPENMP  : 1          ; Append OpenMP flags
+
+# Optimization flags
+####################
+#
+# -xHost                     : Compile a binary optimized for the current architecture
+# -O2                        : O3 not better than O2.
+# -ip                        : Inter-procedural optimizations
+# -ftz                       : Flushes denormal results to zero
+#
+[OPT]
+FCFLAGS  : -xAVX -O2 -ip -ftz -g -traceback 
+
+# Profiling flags
+#################
+#
+[PROFILE]
+FC       : -p -g
+FCFLAGS  : -xSSE4.2 -O2 -ip -ftz
+
+# Debugging flags
+#################
+#
+# -traceback   : Activate backtrace on runtime
+# -fpe0        : All floating point exaceptions
+# -C           : Checks uninitialized variables,  array subscripts, etc...
+# -g           : Extra debugging information
+# -xSSE2       : Valgrind needs a very simple x86 executable
+#
+[DEBUG]
+FC      : -g -traceback
+FCFLAGS : -xSSE2 -C -fpe0 
+
+# OpenMP flags
+#################
+#
+[OPENMP]
+FC           : -qopenmp
+IRPF90_FLAGS : --openmp
+

config/sse4_avx2.cfg

@@ -0,0 +1,62 @@
+# Common flags
+##############
+#
+# -mkl=[parallel|sequential] : Use the MKL library
+# --ninja                 : Allow the utilisation of ninja. It is mandatory !
+# --align=32                 : Align all provided arrays on a 32-byte boundary
+#
+[COMMON]
+FC           : ifort
+LAPACK_LIB   : -mkl=parallel
+IRPF90       : irpf90
+IRPF90_FLAGS : --ninja --align=32
+
+# Global options
+################
+#
+# 1 : Activate
+# 0 : Deactivate
+# 
+[OPTION]
+MODE    : OPT        ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
+CACHE   : 1          ; Enable cache_compile.py
+OPENMP  : 1          ; Append OpenMP flags
+
+# Optimization flags
+####################
+#
+# -xHost                     : Compile a binary optimized for the current architecture
+# -O2                        : O3 not better than O2.
+# -ip                        : Inter-procedural optimizations
+# -ftz                       : Flushes denormal results to zero
+#
+[OPT]
+FCFLAGS  : -axSSE4.2,AVX,CORE-AVX2 -O2 -ip -ftz -g -traceback
+
+# Profiling flags
+#################
+#
+[PROFILE]
+FC       : -p -g
+FCFLAGS  : -xSSE4.2 -O2 -ip -ftz
+
+# Debugging flags
+#################
+#
+# -traceback   : Activate backtrace on runtime
+# -fpe0        : All floating point exaceptions
+# -C           : Checks uninitialized variables,  array subscripts, etc...
+# -g           : Extra debugging information
+# -xSSE2       : Valgrind needs a very simple x86 executable
+#
+[DEBUG]
+FC      : -g -traceback
+FCFLAGS : -xSSE2 -C  -fpe0 
+
+# OpenMP flags
+#################
+#
+[OPENMP]
+FC           : -openmp
+IRPF90_FLAGS : --openmp 
+

config/travis.cfg

@@ -0,0 +1,62 @@
+# Common flags
+##############
+#
+# -ffree-line-length-none : Needed for IRPF90 which produces long lines
+# -lblas -llapack         : Link with libblas and liblapack libraries provided by the system
+# -I .                    : Include the curent directory (Mandatory)
+#
+# --ninja                 : Allow the utilisation of ninja. (Mandatory)
+# --align=32              : Align all provided arrays on a 32-byte boundary
+#
+#
+[COMMON]
+FC           : gfortran -ffree-line-length-none -I . -g
+LAPACK_LIB   : -llapack -lrefblas -ltmglib
+IRPF90       : irpf90
+IRPF90_FLAGS : --ninja --align=32 --assert 
+
+# Global options
+################
+#
+# 1 : Activate
+# 0 : Deactivate
+#
+[OPTION]
+MODE    : DEBUG      ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
+CACHE   : 1          ; Enable cache_compile.py
+OPENMP  : 1          ; Append OpenMP flags
+
+# Optimization flags
+####################
+#
+# -Ofast                  : Disregard strict standards compliance. Enables all -O3 optimizations.
+#                           It also enables optimizations that are not valid
+#                           for all standard-compliant programs.  It turns on
+#                           -ffast-math and the Fortran-specific
+#                           -fno-protect-parens and -fstack-arrays.
+[OPT]
+FCFLAGS : -Ofast -march=native
+
+# Profiling flags
+#################
+#
+[PROFILE]
+FC      : -p -g 
+FCFLAGS : -Ofast 
+
+# Debugging flags
+#################
+#
+# -fcheck=all  : Checks uninitialized variables,  array subscripts, etc...
+# -g           : Extra debugging information
+#
+[DEBUG]
+FCFLAGS : -Ofast -fcheck=all -g -Waliasing -Wampersand -Wconversion -Wsurprising -Wintrinsics-std -Wno-tabs -Wintrinsic-shadow -Wline-truncation -Wreal-q-constant 
+
+# OpenMP flags
+#################
+#
+[OPENMP]
+FC           : -fopenmp
+IRPF90_FLAGS : --openmp 
+

configure

@@ -1,8 +1,8 @@
-#!/usr/bin/env python
+#!/usr/bin/env python2
 # -*- coding: utf-8 -*-
 """configure
 
-Usage: configure <config_file> (--production | --development)
+Usage: configure <config_file> 
 
 
 Options:
@@ -10,18 +10,10 @@ Options:
     config_file   A config file with all the information for compiling.
                   Example config_files are given in config/
 
-   --production   You can only compile **all** the modules with this flag,
-                  but it will compile lighting fast.
-
-   --development  this will create a build.ninja for each directory which 
-                  contains a binary. In a second step you may compile them
-                  individually if you like.
-
-
 Examples:
 
-    ./configure config/gfortran.cfg --production
-    ./configure config/ifort.cfg    --development
+    ./configure config/gfortran.cfg 
+    ./configure config/ifort.cfg    
 
 
 """
@@ -34,10 +26,7 @@ import sys
 
 from os.path import join
 
-if not any(i in ["--production", "--development"] for i in sys.argv):
-    sys.argv += ["--development"]
-
-if len(sys.argv) != 3:
+if len(sys.argv) != 2:
     print __doc__
     sys.exit()
 
@@ -54,12 +43,13 @@ except KeyError:
 
 QP_ROOT_BIN = join(QP_ROOT, "bin")
 QP_ROOT_LIB = join(QP_ROOT, "lib")
+QP_ROOT_LIB64 = join(QP_ROOT, "lib64")
 QP_ROOT_INSTALL = join(QP_ROOT, "install")
 
 os.environ["PATH"] = os.environ["PATH"] + ":" + QP_ROOT_BIN
 
 d_dependency = {
-    "ocaml": ["m4", "curl", "zlib", "patch", "gcc", "zeromq"],
+    "ocaml": ["m4", "curl", "zlib", "patch", "gcc", "zeromq", "gmp"],
     "m4": ["make"],
     "curl": ["make"],
     "zlib": ["gcc", "make"],
@@ -71,13 +61,14 @@ d_dependency = {
     "emsl": ["python"],
     "gcc": [],
     "g++": [],
-    "zeromq" : [ "g++" ],
-    "f77zmq" : [ "zeromq", "python" ],
+    "zeromq" : [ "g++", "make" ],
+    "f77zmq" : [ "zeromq", "python", "make" ],
     "python": [],
     "ninja": ["g++", "python"],
     "make": [],
     "p_graphviz": ["python"],
-    "bats": []
+    "bats": [],
+    "gmp" : ["make", "g++"]
 }
 
 from collections import namedtuple
@@ -85,10 +76,15 @@ from collections import namedtuple
 Info = namedtuple("Info", ["url", "description", "default_path"])
 
 path_github = {"head": "http://github.com", "tail": "archive/master.tar.gz"}
+def path_gitlab(user,project,branch):
+  """For example,
+      https://gitlab.com/scemama/resultsFile/-/archive/master/resultsFile-master.tar.gz
+  """
+  return "http://gitlab.com/%(user)s/%(project)s/-/archive/%(branch)s/%(project)s-%(branch)s.tar.gz"%locals()
 
 ocaml = Info(
     url='http://raw.github.com/ocaml/opam/master/shell/opam_installer.sh',
-    description=' Ocaml, Opam and the Core library (it will take some time roughly 20min)',
+    description=' OCaml, Opam and the Core library (it will take some time roughly 20min)',
     default_path=join(QP_ROOT_BIN, "opam"))
 
 m4 = Info(
@@ -102,7 +98,7 @@ curl = Info(
     default_path=join(QP_ROOT_BIN, "curl"))
 
 zlib = Info(
-    url='http://zlib.net/zlib-1.2.8.tar.gz',
+    url='http://www.zlib.net/zlib-1.2.11.tar.gz',
     description=' zlib',
     default_path=join(QP_ROOT_LIB, "libz.a"))
 
@@ -122,7 +118,7 @@ docopt = Info(
     default_path=join(QP_ROOT_INSTALL, "docopt"))
 
 resultsFile = Info(
-    url='{head}/LCPQ/resultsFile/{tail}'.format(**path_github),
+    url=path_gitlab("scemama","resultsFile","master"),
     description=' resultsFile',
     default_path=join(QP_ROOT_INSTALL, "resultsFile"))
 
@@ -137,20 +133,24 @@ emsl = Info(
     default_path=join(QP_ROOT_INSTALL, "emsl"))
 
 ezfio = Info(
-    url='{head}/LCPQ/EZFIO/{tail}'.format(**path_github),
+    url='https://gitlab.com/scemama/EZFIO/-/archive/v1.3.5/EZFIO-v1.3.5.tar.gz',
     description=' EZFIO',
     default_path=join(QP_ROOT_INSTALL, "EZFIO"))
 
 zeromq = Info(
-    url='https://github.com/zeromq/zeromq4-1/releases/download/v4.1.4/zeromq-4.1.4.tar.gz',
+    url='https://github.com/zeromq/zeromq4-1/releases/download/v4.1.5/zeromq-4.1.5.tar.gz',
     description=' ZeroMQ',
     default_path=join(QP_ROOT_LIB, "libzmq.a"))
 
+gmp= Info(
+    url='ftp://ftp.gnu.org/gnu/gmp/gmp-6.1.2.tar.bz2',
+    description=' The GNU Multiple Precision Arithmetic Library',
+    default_path=join(QP_ROOT_LIB, "libgmp.a"))
+
 f77zmq = Info(
     url='{head}/zeromq/f77_zmq/{tail}'.format(**path_github),
     description=' F77-ZeroMQ',
     default_path=join(QP_ROOT_LIB, "libf77zmq.a") )
-#                join(QP_ROOT, "src", "ZMQ", "f77zmq.h") )
 
 p_graphviz = Info(
     url='https://github.com/xflr6/graphviz/archive/master.tar.gz',
@@ -166,7 +166,7 @@ d_info = dict()
 
 for m in ["ocaml", "m4", "curl", "zlib", "patch", "irpf90", "docopt",
           "resultsFile", "ninja", "emsl", "ezfio", "p_graphviz",
-          "zeromq", "f77zmq","bats"]:
+          "zeromq", "f77zmq", "bats", "gmp"]: 
     exec ("d_info['{0}']={0}".format(m))
 
 
@@ -487,20 +487,38 @@ def create_ninja_and_rc(l_installed):
 
     l_rc = [
         'export QP_ROOT={0}'.format(QP_ROOT),
-        '#export QP_NIC=ib0   # Choose the correct network inuterface',
         'export QP_EZFIO={0}'.format(path_ezfio.replace(QP_ROOT,"${QP_ROOT}")),
         'export QP_PYTHON={0}'.format(":".join(l_python)), "",
         'export IRPF90={0}'.format(path_irpf90.replace(QP_ROOT,"${QP_ROOT}")),
         'export NINJA={0}'.format(path_ninja.replace(QP_ROOT,"${QP_ROOT}")),
-        'export PYTHONPATH="${QP_EZFIO}/Python":"${QP_PYTHON}":"${PYTHONPATH}"',
-        'export PATH="${QP_PYTHON}":"${QP_ROOT}"/bin:"${QP_ROOT}"/ocaml:"${PATH}"',
-        'export LD_LIBRARY_PATH="${QP_ROOT}"/lib:"${LD_LIBRARY_PATH}"',
-        'export LIBRARY_PATH="${QP_ROOT}"/lib:"${LIBRARY_PATH}"', "",
-        'source ${QP_ROOT}/install/EZFIO/Bash/ezfio.sh', "",
-        'source ${HOME}/.opam/opam-init/init.sh > /dev/null 2> /dev/null || true',
-        ""
+        'function qp_prepend_export () {',
+        '  #Prepend path $2:${!1}. Add the semicolon only if ${!1} is defined',
+        '  eval "value_1=\"\${$1}\""',
+        '  echo ${value_1:+${value_1}:}${2}',
+        '}',
+        'export PYTHONPATH=$(qp_prepend_export "PYTHONPATH" "${QP_EZFIO}/Python":"${QP_PYTHON}")',
+        'export PATH=$(qp_prepend_export "PATH" "${QP_PYTHON}":"${QP_ROOT}"/bin:"${QP_ROOT}"/ocaml)',
+        'export LD_LIBRARY_PATH=$(qp_prepend_export "LD_LIBRARY_PATH" "${QP_ROOT}"/lib:"${QP_ROOT}"/lib64)',
+        'export LIBRARY_PATH=$(qp_prepend_export "LIBRARY_PATH" "${QP_ROOT}"/lib:"${QP_ROOT}"/lib64)',
+        'export C_INCLUDE_PATH=$(qp_prepend_export "C_INCLUDE_PATH" "${QP_ROOT}"/include)',
+        '',
+        'if [[ $SHELL == "bash" ]] ; then',
+        '  source ${QP_ROOT}/install/EZFIO/Bash/ezfio.sh',
+        'fi',
+        '',
+        '# Choose the correct network interface',
+        '# export QP_NIC=ib0',
+        '# export QP_NIC=eth0',
+        ''
     ]
 
+    qp_opam_root = os.getenv('OPAMROOT')
+    if not qp_opam_root:
+        qp_opam_root = '${HOME}/.opam'
+    l_rc.append('export QP_OPAM={0}'.format(qp_opam_root))
+    l_rc.append('source ${QP_OPAM}/opam-init/init.sh > /dev/null 2> /dev/null || true')
+    l_rc.append('')
+
     path = join(QP_ROOT, "quantum_package.rc")
     with open(path, "w+") as f:
         f.write("\n".join(l_rc))
@@ -518,15 +536,16 @@ def create_ninja_and_rc(l_installed):
     qp_create_ninja = os.path.join(QP_ROOT, "scripts", "compilation",
                                    "qp_create_ninja.py")
 
-    l = [qp_create_ninja, "create"] + sys.argv[1:]
+    l = [qp_create_ninja, "create", "--development"] + sys.argv[1:]
 
     try:
         with open('/dev/null', 'w') as dnull:
-            subprocess.check_call(" ".join(l), shell=True,stderr=dnull)
+            subprocess.check_call(" ".join(l), shell=True, stderr=dnull)
     except:
         print "[ FAIL ]"
         print "Check the validity of the config file provided ({0})".format(sys.argv[1])
         print "Exit..."
+        raise
         sys.exit(1)
 
     else:
@@ -543,7 +562,6 @@ def recommendation():
     print ""
     print "Finally :"
     print "   ninja"
-    print "   make -C ocaml"
     print ""
     print "You can install more plugin with the qp_module.py install command" 
     print "PS : For more info on compiling the code, read the README.md"

data/Symmetry/C1

@@ -0,0 +1,10 @@
+Group	C1 
+n	1
+
+     	Irred     	Operation
+   1 	 A          	 E         
+
+Table
+         1      
+   1   1.00000  
+

data/Symmetry/C10

@@ -0,0 +1,20 @@
+Group	C10 
+n	6
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C10       
+   3 	 E1         	 C5        
+   4 	 E2         	 C10^3     
+   5 	 E3         	 C5^2      
+   6 	 E4         	 C2        
+
+Table
+         1         2         3         4         5         6      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   3   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  
+   4   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000  
+   5   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000  
+   6   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  
+

data/Symmetry/C10h

@@ -0,0 +1,32 @@
+Group	C10h 
+n	12
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C10       
+   3 	 E1g        	 C5        
+   4 	 E2g        	 C10^3     
+   5 	 E3g        	 C5^2      
+   6 	 E4g        	 C2        
+   7 	 Au         	 i         
+   8 	 Bu         	 S10       
+   9 	 E1u        	 S5        
+  10 	 E2u        	 S10^3     
+  11 	 E3u        	 S5^2      
+  12 	 E4u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000  
+   3   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000   2.00000  -1.61800  -0.61800   0.61800   1.61800  -2.00000  
+   4   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000  
+   5   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   2.00000   0.61800   1.61800  -1.61800  -0.61800  -2.00000  
+   6   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  
+   7   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  
+   8   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000  -1.00000   1.00000  -1.00000   1.00000   1.00000  
+   9   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  -2.00000   1.61800   0.61800  -0.61800  -1.61800   2.00000  
+  10   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000  -2.00000  -0.61800   1.61800   1.61800  -0.61800  -2.00000  
+  11   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000  -2.00000  -0.61800  -1.61800   1.61800   0.61800   2.00000  
+  12   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -2.00000   1.61800  -0.61800  -0.61800   1.61800  -2.00000  
+

data/Symmetry/C10v

@@ -0,0 +1,24 @@
+Group	C10v 
+n	8
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C10       
+   3 	 B1         	 C5        
+   4 	 B2         	 C10^3     
+   5 	 E1         	 C5^2      
+   6 	 E2         	 C2        
+   7 	 E3         	 sv        
+   8 	 E4         	 sd        
+
+Table
+         1         2         3         4         5         6         7         8      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000   1.00000  
+   5   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000   0.00000   0.00000  
+   6   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.00000   0.00000  
+   7   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   0.00000   0.00000  
+   8   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000   0.00000   0.00000  
+

data/Symmetry/C11

@@ -0,0 +1,20 @@
+Group	C11 
+n	6
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C11       
+   3 	 E2         	 C11^2     
+   4 	 E3         	 C11^3     
+   5 	 E4         	 C11^4     
+   6 	 E5         	 C11^5     
+
+Table
+         1         2         3         4         5         6      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  
+   3   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250  
+   4   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  
+   5   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080  
+   6   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  
+

data/Symmetry/C11h

@@ -0,0 +1,32 @@
+Group	C11h 
+n	12
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C11       
+   3 	 E1'        	 C11^2     
+   4 	 E1"        	 C11^3     
+   5 	 E2'        	 C11^4     
+   6 	 E2"        	 C11^5     
+   7 	 E3'        	 sh        
+   8 	 E3"        	 S11       
+   9 	 E4'        	 S11^3     
+  10 	 E4"        	 S11^5     
+  11 	 E5'        	 S11^7     
+  12 	 E5"        	 S11^9     
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  
+   3   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890   2.00000   1.68250  -0.28460  -1.91890  -1.30970   0.83080  
+   4   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  -2.00000  -1.68250   0.28460   1.91890   1.30970  -0.83080  
+   5   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   2.00000   0.83080  -1.91890   1.68250  -0.28460  -1.30970  
+   6   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250  -2.00000  -0.83080   1.91890  -1.68250   0.28460   1.30970  
+   7   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970   2.00000  -0.28460   0.83080  -1.30970   1.68250  -1.91890  
+   8   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  -2.00000   0.28460  -0.83080   1.30970  -1.68250   1.91890  
+   9   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   2.00000  -1.30970   1.68250   0.83080  -1.91890  -0.28460  
+  10   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080  -2.00000   1.30970  -1.68250  -0.83080   1.91890   0.28460  
+  11   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460   2.00000  -1.91890  -1.30970  -0.28460   0.83080   1.68250  
+  12   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  -2.00000   1.91890   1.30970   0.28460  -0.83080  -1.68250  
+

data/Symmetry/C11v

@@ -0,0 +1,22 @@
+Group	C11v 
+n	7
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C11       
+   3 	 E1         	 C11^2     
+   4 	 E2         	 C11^3     
+   5 	 E3         	 C11^4     
+   6 	 E4         	 C11^5     
+   7 	 E5         	 sv        
+
+Table
+         1         2         3         4         5         6         7      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890   0.00000  
+   4   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   0.00000  
+   5   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970   0.00000  
+   6   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   0.00000  
+   7   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460   0.00000  
+

data/Symmetry/C12

@@ -0,0 +1,22 @@
+Group	C12 
+n	7
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C12       
+   3 	 E1         	 C6        
+   4 	 E2         	 C4        
+   5 	 E3         	 C3        
+   6 	 E4         	 C12^5     
+   7 	 E5         	 C2        
+
+Table
+         1         2         3         4         5         6         7      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  
+   3   2.00000   1.73200   1.00000   0.00000  -1.00000  -1.73200  -2.00000  
+   4   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000  
+   5   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  
+   6   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  
+   7   2.00000  -1.73200   1.00000   0.00000  -1.00000   1.73200  -2.00000  
+

data/Symmetry/C12h

@@ -0,0 +1,36 @@
+Group	C12h 
+n	14
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C12       
+   3 	 E1g        	 C6        
+   4 	 E2g        	 C4        
+   5 	 E3g        	 C3        
+   6 	 E4g        	 C12^5     
+   7 	 E5g        	 C2        
+   8 	 Au         	 i         
+   9 	 Bu         	 S12       
+  10 	 E1u        	 S6        
+  11 	 E2u        	 S4        
+  12 	 E3u        	 S3        
+  13 	 E4u        	 S12^5     
+  14 	 E5u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14     
+   1   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  
+   2   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  
+   3   2.00000   1.73200   1.00000   0.00000  -1.00000  -1.73200  -2.00000   2.00000  -1.73200  -1.00000   0.00000   1.00000   1.73200  -2.00000  
+   4   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000  
+   5   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000  -2.00000  
+   6   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  
+   7   2.00000  -1.73200   1.00000   0.00000  -1.00000   1.73200  -2.00000   2.00000   1.73200  -1.00000   0.00000   1.00000  -1.73200  -2.00000  
+   8   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  
+   9   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  
+  10   2.00000   1.73200   1.00000   0.00000  -1.00000  -1.73200  -2.00000  -2.00000   1.73200   1.00000   0.00000  -1.00000  -1.73200   2.00000  
+  11   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  
+  12   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  -2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000   2.00000  
+  13   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000  
+  14   2.00000  -1.73200   1.00000   0.00000  -1.00000   1.73200  -2.00000  -2.00000  -1.73200   1.00000   0.00000  -1.00000   1.73200   2.00000  
+

data/Symmetry/C12v

@@ -0,0 +1,26 @@
+Group	C12v 
+n	9
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C12       
+   3 	 B1         	 C6        
+   4 	 B2         	 C4        
+   5 	 E1         	 C3        
+   6 	 E2         	 C12^5     
+   7 	 E3         	 C2        
+   8 	 E4         	 sv        
+   9 	 E5         	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  
+   5   2.00000   1.73200   1.00000   0.00000  -1.00000  -1.73200  -2.00000   0.00000   0.00000  
+   6   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   0.00000   0.00000  
+   7   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   0.00000  
+   8   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000   0.00000   0.00000  
+   9   2.00000  -1.73200   1.00000   0.00000  -1.00000   1.73200  -2.00000   0.00000   0.00000  
+

data/Symmetry/C13

@@ -0,0 +1,22 @@
+Group	C13 
+n	7
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C13       
+   3 	 E2         	 C13^2     
+   4 	 E3         	 C13^3     
+   5 	 E4         	 C13^4     
+   6 	 E5         	 C13^5     
+   7 	 E6         	 C13^6     
+
+Table
+         1         2         3         4         5         6         7      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.77090   1.13610   0.24100  -0.70920  -1.49700  -1.94180  
+   3   2.00000   1.13610  -0.70920  -1.94180  -1.49700   0.24100   1.77090  
+   4   2.00000   0.24100  -1.94180  -0.70920   1.77090   1.13610  -1.49700  
+   5   2.00000  -0.70920  -1.49700   1.77090   0.24100  -1.94180   1.13610  
+   6   2.00000  -1.49700   0.24100   1.13610  -1.94180   1.77090  -0.70920  
+   7   2.00000  -1.94180   1.77090  -1.49700   1.13610  -0.70920   0.24100  
+

data/Symmetry/C13h

@@ -0,0 +1,36 @@
+Group	C13h 
+n	14
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C13       
+   3 	 E1'        	 C13^2     
+   4 	 E1"        	 C13^3     
+   5 	 E2'        	 C13^4     
+   6 	 E2"        	 C13^5     
+   7 	 E3'        	 C13^6     
+   8 	 E3"        	 sh        
+   9 	 E4'        	 S13       
+  10 	 E4"        	 S13^3     
+  11 	 E5'        	 S13^5     
+  12 	 E5"        	 S13^7     
+  13 	 E6'        	 S13^9     
+  14 	 E6"        	 S13^11    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14     
+   1   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  
+   2   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  
+   3   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188   2.00000   1.77091   0.24107  -1.49702  -1.94188  -0.70921   1.13613  
+   4   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188  -2.00000  -1.77091  -0.24107   1.49702   1.94188   0.70921  -1.13613  
+   5   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091   2.00000   1.13613  -1.94188   0.24107   1.77091  -1.49702  -0.70921  
+   6   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091  -2.00000  -1.13613   1.94188  -0.24107  -1.77091   1.49702   0.70921  
+   7   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702   2.00000   0.24107  -0.70921   1.13613  -1.49702   1.77091  -1.94188  
+   8   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702  -2.00000  -0.24107   0.70921  -1.13613   1.49702  -1.77091   1.94188  
+   9   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613   2.00000  -0.70921   1.77091  -1.94188   1.13613   0.24107  -1.49702  
+  10   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613  -2.00000   0.70921  -1.77091   1.94188  -1.13613  -0.24107   1.49702  
+  11   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921   2.00000  -1.49702   1.13613   1.77091  -0.70921  -1.94188   0.24107  
+  12   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921  -2.00000   1.49702  -1.13613  -1.77091   0.70921   1.94188  -0.24107  
+  13   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107   2.00000  -1.94188  -1.49702  -0.70921   0.24107   1.13613   1.77091  
+  14   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107  -2.00000   1.94188   1.49702   0.70921  -0.24107  -1.13613  -1.77091  
+

data/Symmetry/C13v

@@ -0,0 +1,24 @@
+Group	C13v 
+n	8
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C13       
+   3 	 E1         	 C13^2     
+   4 	 E2         	 C13^3     
+   5 	 E3         	 C13^4     
+   6 	 E4         	 C13^5     
+   7 	 E5         	 C13^6     
+   8 	 E6         	 sv        
+
+Table
+         1         2         3         4         5         6         7         8      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   1.77090   1.13610   0.24100  -0.70920  -1.49700  -1.94180   0.00000  
+   4   2.00000   1.13610  -0.70920  -1.94180  -1.49700   0.24100   1.77090   0.00000  
+   5   2.00000   0.24100  -1.94180  -0.70920   1.77090   1.13610  -1.49700   0.00000  
+   6   2.00000  -0.70920  -1.49700   1.77090   0.24100  -1.94180   1.13610   0.00000  
+   7   2.00000  -1.49700   0.24100   1.13610  -1.94180   1.77090  -0.70920   0.00000  
+   8   2.00000  -1.94180   1.77090  -1.49700   1.13610  -0.70920   0.24100   0.00000  
+

data/Symmetry/C14

@@ -0,0 +1,24 @@
+Group	C14 
+n	8
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C14       
+   3 	 E1         	 C7        
+   4 	 E2         	 C14^3     
+   5 	 E3         	 C7^2      
+   6 	 E4         	 C14^5     
+   7 	 E5         	 C7^3      
+   8 	 E6         	 C2        
+
+Table
+         1         2         3         4         5         6         7         8      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   3   2.00000   1.80190   1.24690   0.44500  -0.44500  -1.24690  -1.80190  -2.00000  
+   4   2.00000   1.24690  -0.44500  -1.80190  -1.80190  -0.44500   1.24690   2.00000  
+   5   2.00000   0.44500  -1.80190  -1.24690   1.24690   1.80190  -0.44500  -2.00000  
+   6   2.00000  -0.44500  -1.80190   1.24690   1.24690  -1.80190  -0.44500   2.00000  
+   7   2.00000  -1.24690  -0.44500   1.80190  -1.80190   0.44500   1.24690  -2.00000  
+   8   2.00000  -1.80190   1.24690  -0.44500  -0.44500   1.24690  -1.80190   2.00000  
+

data/Symmetry/C14h

@@ -0,0 +1,40 @@
+Group	C14h 
+n	16
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C14       
+   3 	 E1g        	 C7        
+   4 	 E2g        	 C14^3     
+   5 	 E3g        	 C7^2      
+   6 	 E4g        	 C14^5     
+   7 	 E5g        	 C7^3      
+   8 	 E6g        	 C2        
+   9 	 Au         	 i         
+  10 	 Bu         	 S14       
+  11 	 E1u        	 S7        
+  12 	 E2u        	 S14^3     
+  13 	 E3u        	 S7^2      
+  14 	 E4u        	 S14^5     
+  15 	 E5u        	 S7^3      
+  16 	 E6u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16     
+   1   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  
+   2   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  
+   3   2.00000   1.80190   1.24690   0.44500  -0.44500  -1.24690  -1.80190  -2.00000   2.00000  -1.80190  -1.24690  -0.44500   0.44500   1.24690   1.80190  -2.00000  
+   4   2.00000   1.24690  -0.44500  -1.80190  -1.80190  -0.44500   1.24690   2.00000   2.00000   1.24690  -0.44500  -1.80190  -1.80190  -0.44500   1.24690   2.00000  
+   5   2.00000   0.44500  -1.80190  -1.24690   1.24690   1.80190  -0.44500  -2.00000   2.00000  -0.44500   1.80190   1.24690  -1.24690  -1.80190   0.44500  -2.00000  
+   6   2.00000  -0.44500  -1.80190   1.24690   1.24690  -1.80190  -0.44500   2.00000   2.00000  -0.44500  -1.80190   1.24690   1.24690  -1.80190  -0.44500   2.00000  
+   7   2.00000  -1.24690  -0.44500   1.80190  -1.80190   0.44500   1.24690  -2.00000   2.00000   1.24690   0.44500  -1.80190   1.80190  -0.44500  -1.24690  -2.00000  
+   8   2.00000  -1.80190   1.24690  -0.44500  -0.44500   1.24690  -1.80190   2.00000   2.00000  -1.80190   1.24690  -0.44500  -0.44500   1.24690  -1.80190   2.00000  
+   9   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  
+  10   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  
+  11   2.00000   1.80190   1.24690   0.44500  -0.44500  -1.24690  -1.80190  -2.00000  -2.00000   1.80190   1.24690   0.44500  -0.44500  -1.24690  -1.80190   2.00000  
+  12   2.00000   1.24690  -0.44500  -1.80190  -1.80190  -0.44500   1.24690   2.00000  -2.00000  -1.24690   0.44500   1.80190   1.80190   0.44500  -1.24690  -2.00000  
+  13   2.00000   0.44500  -1.80190  -1.24690   1.24690   1.80190  -0.44500  -2.00000  -2.00000   0.44500  -1.80190  -1.24690   1.24690   1.80190  -0.44500   2.00000  
+  14   2.00000  -0.44500  -1.80190   1.24690   1.24690  -1.80190  -0.44500   2.00000  -2.00000   0.44500   1.80190  -1.24690  -1.24690   1.80190   0.44500  -2.00000  
+  15   2.00000  -1.24690  -0.44500   1.80190  -1.80190   0.44500   1.24690  -2.00000  -2.00000  -1.24690  -0.44500   1.80190  -1.80190   0.44500   1.24690   2.00000  
+  16   2.00000  -1.80190   1.24690  -0.44500  -0.44500   1.24690  -1.80190   2.00000  -2.00000   1.80190  -1.24690   0.44500   0.44500  -1.24690   1.80190  -2.00000  
+

data/Symmetry/C14v

@@ -0,0 +1,28 @@
+Group	C14v 
+n	10
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C14       
+   3 	 B1         	 C7        
+   4 	 B2         	 C14^3     
+   5 	 E1         	 C7^2      
+   6 	 E2         	 C14^5     
+   7 	 E3         	 C7^3      
+   8 	 E4         	 C2        
+   9 	 E5         	 sv        
+  10 	 E6         	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000   1.00000  
+   5   2.00000   1.80190   1.24690   0.44500  -0.44500  -1.24690  -1.80190  -2.00000   0.00000   0.00000  
+   6   2.00000   1.24690  -0.44500  -1.80190  -1.80190  -0.44500   1.24690   2.00000   0.00000   0.00000  
+   7   2.00000   0.44500  -1.80190  -1.24690   1.24690   1.80190  -0.44500  -2.00000   0.00000   0.00000  
+   8   2.00000  -0.44500  -1.80190   1.24690   1.24690  -1.80190  -0.44500   2.00000   0.00000   0.00000  
+   9   2.00000  -1.24690  -0.44500   1.80190  -1.80190   0.44500   1.24690  -2.00000   0.00000   0.00000  
+  10   2.00000  -1.80190   1.24690  -0.44500  -0.44500   1.24690  -1.80190   2.00000   0.00000   0.00000  
+

data/Symmetry/C15

@@ -0,0 +1,24 @@
+Group	C15 
+n	8
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C15       
+   3 	 E2         	 C15^2     
+   4 	 E3         	 C5        
+   5 	 E4         	 C15^4     
+   6 	 E5         	 C3        
+   7 	 E6         	 C5^2      
+   8 	 E7         	 C15^7     
+
+Table
+         1         2         3         4         5         6         7         8      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.82700   1.33820   0.61800  -0.20900  -1.00000  -1.61800  -1.95630  
+   3   2.00000   1.33820  -0.20900  -1.61800  -1.95630  -1.00000   0.61800   1.82700  
+   4   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800  
+   5   2.00000  -0.20900  -1.95630   0.61800   1.82700  -1.00000  -1.61800   1.33820  
+   6   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  
+   7   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800  
+   8   2.00000  -1.95630   1.82700  -1.61800   1.33820  -1.00000   0.61800  -0.20900  
+

data/Symmetry/C15h

@@ -0,0 +1,40 @@
+Group	C15h 
+n	16
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C15       
+   3 	 E1'        	 C15^2     
+   4 	 E1"        	 C5        
+   5 	 E2'        	 C15^4     
+   6 	 E2"        	 C3        
+   7 	 E3'        	 C5^2      
+   8 	 E3"        	 C15^7     
+   9 	 E4'        	 sh        
+  10 	 E4"        	 S15       
+  11 	 E5'        	 S5        
+  12 	 E5"        	 S3        
+  13 	 E6'        	 S15^7     
+  14 	 E6"        	 S5^3      
+  15 	 E7'        	 S15^11    
+  16 	 E7"        	 S15^13    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16     
+   1   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  
+   2   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  
+   3   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630   2.00000   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826  
+   4   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -2.00000  -1.82709  -0.61803   1.00000   1.95630   1.61803   0.20906  -1.33826  
+   5   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   2.00000   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906  
+   6   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709  -2.00000  -1.33826   1.61803   1.00000  -1.82709  -0.61803   1.95630   0.20906  
+   7   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803   2.00000   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803  
+   8   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -2.00000  -0.61803   1.61803  -2.00000   1.61803  -0.61803  -0.61803   1.61803  
+   9   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   2.00000  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630  
+  10   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826  -2.00000   0.20906  -0.61803   1.00000  -1.33826   1.61803  -1.82709   1.95630  
+  11   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000   2.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000  
+  12   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -2.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  
+  13   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   2.00000  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803  
+  14   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803  -2.00000   1.61803  -0.61803  -2.00000  -0.61803   1.61803   1.61803  -0.61803  
+  15   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906   2.00000  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709  
+  16   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -2.00000   1.95630   1.61803   1.00000   0.20906  -0.61803  -1.33826  -1.82709  
+

data/Symmetry/C15v

@@ -0,0 +1,26 @@
+Group	C15v 
+n	9
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C15       
+   3 	 E1         	 C15^2     
+   4 	 E2         	 C5        
+   5 	 E3         	 C15^4     
+   6 	 E4         	 C3        
+   7 	 E5         	 C5^2      
+   8 	 E6         	 C15^7     
+   9 	 E7         	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   1.82700   1.33820   0.61800  -0.20900  -1.00000  -1.61800  -1.95630   0.00000  
+   4   2.00000   1.33820  -0.20900  -1.61800  -1.95630  -1.00000   0.61800   1.82700   0.00000  
+   5   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800   0.00000  
+   6   2.00000  -0.20900  -1.95630   0.61800   1.82700  -1.00000  -1.61800   1.33820   0.00000  
+   7   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000   0.00000  
+   8   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800   0.00000  
+   9   2.00000  -1.95630   1.82700  -1.61800   1.33820  -1.00000   0.61800  -0.20900   0.00000  
+

data/Symmetry/C16

@@ -0,0 +1,26 @@
+Group	C16 
+n	9
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C16       
+   3 	 E1         	 C8        
+   4 	 E2         	 C16^3     
+   5 	 E3         	 C4        
+   6 	 E4         	 C16^5     
+   7 	 E5         	 C8^3      
+   8 	 E6         	 C16^7     
+   9 	 E7         	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  
+   3   2.00000   1.84770   1.41420   0.76530   0.00000  -0.76530  -1.41420  -1.84770  -2.00000  
+   4   2.00000   1.41420   0.00000  -1.41420  -2.00000  -1.41420   0.00000   1.41420   2.00000  
+   5   2.00000   0.76530  -1.41420  -1.84770   0.00000   1.84770   1.41420  -0.76530  -2.00000  
+   6   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  
+   7   2.00000  -0.76530  -1.41420   1.84770   0.00000  -1.84770   1.41420   0.76530  -2.00000  
+   8   2.00000  -1.41420   0.00000   1.41420  -2.00000   1.41420   0.00000  -1.41420   2.00000  
+   9   2.00000  -1.84770   1.41420  -0.76530   0.00000   0.76530  -1.41420   1.84770  -2.00000  
+

data/Symmetry/C16h

@@ -0,0 +1,44 @@
+Group	C16h 
+n	18
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C16       
+   3 	 E1g        	 C8        
+   4 	 E2g        	 C16^3     
+   5 	 E3g        	 C4        
+   6 	 E4g        	 C16^5     
+   7 	 E5g        	 C8^3      
+   8 	 E6g        	 C16^7     
+   9 	 E7g        	 C2        
+  10 	 Au         	 i         
+  11 	 Bu         	 S16       
+  12 	 E1u        	 S8        
+  13 	 E2u        	 S16^3     
+  14 	 E3u        	 S4        
+  15 	 E4u        	 S16^5     
+  16 	 E5u        	 S8^3      
+  17 	 E6u        	 S16^7     
+  18 	 E7u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18     
+   1   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  
+   2   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  
+   3   2.00000   1.84770   1.41420   0.76530   0.00000  -0.76530  -1.41420  -1.84770  -2.00000   2.00000  -1.84770  -1.41420  -0.76530   0.00000   0.76530   1.41420   1.84770  -2.00000  
+   4   2.00000   1.41420   0.00000  -1.41420  -2.00000  -1.41420   0.00000   1.41420   2.00000   2.00000   1.41420   0.00000  -1.41420  -2.00000  -1.41420   0.00000   1.41420   2.00000  
+   5   2.00000   0.76530  -1.41420  -1.84770   0.00000   1.84770   1.41420  -0.76530  -2.00000   2.00000  -0.76530   1.41420   1.84770   0.00000  -1.84770  -1.41420   0.76530  -2.00000  
+   6   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  
+   7   2.00000  -0.76530  -1.41420   1.84770   0.00000  -1.84770   1.41420   0.76530  -2.00000   2.00000   0.76530   1.41420  -1.84770   0.00000   1.84770  -1.41420  -0.76530  -2.00000  
+   8   2.00000  -1.41420   0.00000   1.41420  -2.00000   1.41420   0.00000  -1.41420   2.00000   2.00000  -1.41420   0.00000   1.41420  -2.00000   1.41420   0.00000  -1.41420   2.00000  
+   9   2.00000  -1.84770   1.41420  -0.76530   0.00000   0.76530  -1.41420   1.84770  -2.00000   2.00000   1.84770  -1.41420   0.76530   0.00000  -0.76530   1.41420  -1.84770  -2.00000  
+  10   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  
+  11   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  
+  12   2.00000   1.84770   1.41420   0.76530   0.00000  -0.76530  -1.41420  -1.84770  -2.00000  -2.00000   1.84770   1.41420   0.76530   0.00000  -0.76530  -1.41420  -1.84770   2.00000  
+  13   2.00000   1.41420   0.00000  -1.41420  -2.00000  -1.41420   0.00000   1.41420   2.00000  -2.00000  -1.41420   0.00000   1.41420   2.00000   1.41420   0.00000  -1.41420  -2.00000  
+  14   2.00000   0.76530  -1.41420  -1.84770   0.00000   1.84770   1.41420  -0.76530  -2.00000  -2.00000   0.76530  -1.41420  -1.84770   0.00000   1.84770   1.41420  -0.76530   2.00000  
+  15   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  
+  16   2.00000  -0.76530  -1.41420   1.84770   0.00000  -1.84770   1.41420   0.76530  -2.00000  -2.00000  -0.76530  -1.41420   1.84770   0.00000  -1.84770   1.41420   0.76530   2.00000  
+  17   2.00000  -1.41420   0.00000   1.41420  -2.00000   1.41420   0.00000  -1.41420   2.00000  -2.00000   1.41420   0.00000  -1.41420   2.00000  -1.41420   0.00000   1.41420  -2.00000  
+  18   2.00000  -1.84770   1.41420  -0.76530   0.00000   0.76530  -1.41420   1.84770  -2.00000  -2.00000  -1.84770   1.41420  -0.76530   0.00000   0.76530  -1.41420   1.84770   2.00000  
+

data/Symmetry/C16v

@@ -0,0 +1,30 @@
+Group	C16v 
+n	11
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C16       
+   3 	 B1         	 C8        
+   4 	 B2         	 C16^3     
+   5 	 E1         	 C4        
+   6 	 E2         	 C16^5     
+   7 	 E3         	 C8^3      
+   8 	 E4         	 C16^7     
+   9 	 E5         	 C2        
+  10 	 E6         	 sv        
+  11 	 E7         	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  
+   5   2.00000   1.84770   1.41420   0.76530   0.00000  -0.76530  -1.41420  -1.84770  -2.00000   0.00000   0.00000  
+   6   2.00000   1.41420   0.00000  -1.41420  -2.00000  -1.41420   0.00000   1.41420   2.00000   0.00000   0.00000  
+   7   2.00000   0.76530  -1.41420  -1.84770   0.00000   1.84770   1.41420  -0.76530  -2.00000   0.00000   0.00000  
+   8   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000   0.00000  
+   9   2.00000  -0.76530  -1.41420   1.84770   0.00000  -1.84770   1.41420   0.76530  -2.00000   0.00000   0.00000  
+  10   2.00000  -1.41420   0.00000   1.41420  -2.00000   1.41420   0.00000  -1.41420   2.00000   0.00000   0.00000  
+  11   2.00000  -1.84770   1.41420  -0.76530   0.00000   0.76530  -1.41420   1.84770  -2.00000   0.00000   0.00000  
+

data/Symmetry/C17

@@ -0,0 +1,26 @@
+Group	C17 
+n	9
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C17       
+   3 	 E2         	 C17^2     
+   4 	 E3         	 C17^3     
+   5 	 E4         	 C17^4     
+   6 	 E5         	 C17^5     
+   7 	 E6         	 C17^6     
+   8 	 E7         	 C17^7     
+   9 	 E8         	 C17^8     
+
+Table
+         1         2         3         4         5         6         7         8         9      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.86490   1.47800   0.89140   0.18450  -0.54730  -1.20520  -1.70040  -1.96590  
+   3   2.00000   1.47800   0.18450  -1.20520  -1.96590  -1.70040  -0.54730   0.89140   1.86490  
+   4   2.00000   0.89140  -1.20520  -1.96590  -0.54730   1.47800   1.86490   0.18450  -1.70040  
+   5   2.00000   0.18450  -1.96590  -0.54730   1.86490   0.89140  -1.70040  -1.20520   1.47800  
+   6   2.00000  -0.54730  -1.70040   1.47800   0.89140  -1.96590   0.18450   1.86490  -1.20520  
+   7   2.00000  -1.20520  -0.54730   1.86490  -1.70040   0.18450   1.47800  -1.96590   0.89140  
+   8   2.00000  -1.70040   0.89140   0.18450  -1.20520   1.86490  -1.96590   1.47800  -0.54730  
+   9   2.00000  -1.96590   1.86490  -1.70040   1.47800  -1.20520   0.89140  -0.54730   0.18450  
+

data/Symmetry/C17h

@@ -0,0 +1,44 @@
+Group	C17h 
+n	18
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C17       
+   3 	 E1'        	 C17^2     
+   4 	 E1"        	 C17^3     
+   5 	 E2'        	 C17^4     
+   6 	 E2"        	 C17^5     
+   7 	 E3'        	 C17^6     
+   8 	 E3"        	 C17^7     
+   9 	 E4'        	 C17^8     
+  10 	 E4"        	 sh        
+  11 	 E5'        	 S17       
+  12 	 E5"        	 S17^3     
+  13 	 E6'        	 S17^5     
+  14 	 E6"        	 S17^7     
+  15 	 E7'        	 S17^9     
+  16 	 E7"        	 S17^11    
+  17 	 E8'        	 S17^13    
+  18 	 E8"        	 S17^15    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18     
+   1   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  
+   2   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  
+   3   2.00000   1.86494   1.47802   0.89148   0.18454  -0.54733  -1.20527  -1.70043  -1.96595   2.00000   1.86494   0.89148  -0.54733  -1.70043  -1.96595  -1.20527   0.18454   1.47802  
+   4   2.00000   1.86494   1.47802   0.89148   0.18454  -0.54733  -1.20527  -1.70043  -1.96595  -2.00000  -1.86494  -0.89148   0.54733   1.70043   1.96595   1.20527  -0.18454  -1.47802  
+   5   2.00000   1.47802   0.18454  -1.20527  -1.96595  -1.70043  -0.54733   0.89148   1.86494   2.00000   1.47802  -1.20527  -1.70043   0.89148   1.86494  -0.54733  -1.96595   0.18454  
+   6   2.00000   1.47802   0.18454  -1.20527  -1.96595  -1.70043  -0.54733   0.89148   1.86494  -2.00000  -1.47802   1.20527   1.70043  -0.89148  -1.86494   0.54733   1.96595  -0.18454  
+   7   2.00000   0.89148  -1.20527  -1.96595  -0.54733   1.47802   1.86494   0.18454  -1.70043   2.00000   0.89148  -1.96595   1.47802   0.18454  -1.70043   1.86494  -0.54733  -1.20527  
+   8   2.00000   0.89148  -1.20527  -1.96595  -0.54733   1.47802   1.86494   0.18454  -1.70043  -2.00000  -0.89148   1.96595  -1.47802  -0.18454   1.70043  -1.86494   0.54733   1.20527  
+   9   2.00000   0.18454  -1.96595  -0.54733   1.86494   0.89148  -1.70043  -1.20527   1.47802   2.00000   0.18454  -0.54733   0.89148  -1.20527   1.47802  -1.70043   1.86494  -1.96595  
+  10   2.00000   0.18454  -1.96595  -0.54733   1.86494   0.89148  -1.70043  -1.20527   1.47802  -2.00000  -0.18454   0.54733  -0.89148   1.20527  -1.47802   1.70043  -1.86494   1.96595  
+  11   2.00000  -0.54733  -1.70043   1.47802   0.89148  -1.96595   0.18454   1.86494  -1.20527   2.00000  -0.54733   1.47802  -1.96595   1.86494  -1.20527   0.18454   0.89148  -1.70043  
+  12   2.00000  -0.54733  -1.70043   1.47802   0.89148  -1.96595   0.18454   1.86494  -1.20527  -2.00000   0.54733  -1.47802   1.96595  -1.86494   1.20527  -0.18454  -0.89148   1.70043  
+  13   2.00000  -1.20527  -0.54733   1.86494  -1.70043   0.18454   1.47802  -1.96595   0.89148   2.00000  -1.20527   1.86494   0.18454  -1.96595   0.89148   1.47802  -1.70043  -0.54733  
+  14   2.00000  -1.20527  -0.54733   1.86494  -1.70043   0.18454   1.47802  -1.96595   0.89148  -2.00000   1.20527  -1.86494  -0.18454   1.96595  -0.89148  -1.47802   1.70043   0.54733  
+  15   2.00000  -1.70043   0.89148   0.18454  -1.20527   1.86494  -1.96595   1.47802  -0.54733   2.00000  -1.70043   0.18454   1.86494   1.47802  -0.54733  -1.96595  -1.20527   0.89148  
+  16   2.00000  -1.70043   0.89148   0.18454  -1.20527   1.86494  -1.96595   1.47802  -0.54733  -2.00000   1.70043  -0.18454  -1.86494  -1.47802   0.54733   1.96595   1.20527  -0.89148  
+  17   2.00000  -1.96595   1.86494  -1.70043   1.47802  -1.20527   0.89148  -0.54733   0.18454   2.00000  -1.96595  -1.70043  -1.20527  -0.54733   0.18454   0.89148   1.47802   1.86494  
+  18   2.00000  -1.96595   1.86494  -1.70043   1.47802  -1.20527   0.89148  -0.54733   0.18454  -2.00000   1.96595   1.70043   1.20527   0.54733  -0.18454  -0.89148  -1.47802  -1.86494  
+

data/Symmetry/C17v

@@ -0,0 +1,28 @@
+Group	C17v 
+n	10
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C17       
+   3 	 E1         	 C17^2     
+   4 	 E2         	 C17^3     
+   5 	 E3         	 C17^4     
+   6 	 E4         	 C17^5     
+   7 	 E5         	 C17^6     
+   8 	 E6         	 C17^7     
+   9 	 E7         	 C17^8     
+  10 	 E8         	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   1.86490   1.47800   0.89140   0.18450  -0.54730  -1.20520  -1.70040  -1.96590   0.00000  
+   4   2.00000   1.47800   0.18450  -1.20520  -1.96590  -1.70040  -0.54730   0.89140   1.86490   0.00000  
+   5   2.00000   0.89140  -1.20520  -1.96590  -0.54730   1.47800   1.86490   0.18450  -1.70040   0.00000  
+   6   2.00000   0.18450  -1.96590  -0.54730   1.86490   0.89140  -1.70040  -1.20520   1.47800   0.00000  
+   7   2.00000  -0.54730  -1.70040   1.47800   0.89140  -1.96590   0.18450   1.86490  -1.20520   0.00000  
+   8   2.00000  -1.20520  -0.54730   1.86490  -1.70040   0.18450   1.47800  -1.96590   0.89140   0.00000  
+   9   2.00000  -1.70040   0.89140   0.18450  -1.20520   1.86490  -1.96590   1.47800  -0.54730   0.00000  
+  10   2.00000  -1.96590   1.86490  -1.70040   1.47800  -1.20520   0.89140  -0.54730   0.18450   0.00000  
+

data/Symmetry/C18

@@ -0,0 +1,28 @@
+Group	C18 
+n	10
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C18       
+   3 	 E1         	 C9        
+   4 	 E2         	 C6        
+   5 	 E3         	 C9^2      
+   6 	 E4         	 C18^5     
+   7 	 E5         	 C3        
+   8 	 E6         	 C18^7     
+   9 	 E7         	 C9^4      
+  10 	 E8         	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   3   2.00000   1.87930   1.53200   1.00000   0.34730  -0.34730  -1.00000  -1.53200  -1.87930  -2.00000  
+   4   2.00000   1.53200   0.34730  -1.00000  -1.87930  -1.87930  -1.00000   0.34730   1.53200   2.00000  
+   5   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  
+   6   2.00000   0.34730  -1.87930  -1.00000   1.53200   1.53200  -1.00000  -1.87930   0.34730   2.00000  
+   7   2.00000  -0.34730  -1.87930   1.00000   1.53200  -1.53200  -1.00000   1.87930   0.34730  -2.00000  
+   8   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  
+   9   2.00000  -1.53200   0.34730   1.00000  -1.87930   1.87930  -1.00000  -0.34730   1.53200  -2.00000  
+  10   2.00000  -1.87930   1.53200  -1.00000   0.34730   0.34730  -1.00000   1.53200  -1.87930   2.00000  
+

data/Symmetry/C18h

@@ -0,0 +1,48 @@
+Group	C18h 
+n	20
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C18       
+   3 	 E1g        	 C9        
+   4 	 E2g        	 C6        
+   5 	 E3g        	 C9^2      
+   6 	 E4g        	 C18^5     
+   7 	 E5g        	 C3        
+   8 	 E6g        	 C18^7     
+   9 	 E7g        	 C9^4      
+  10 	 E8g        	 C2        
+  11 	 Au         	 i         
+  12 	 Bu         	 S18       
+  13 	 E1u        	 S9        
+  14 	 E2u        	 S6        
+  15 	 E3u        	 S9^2      
+  16 	 E4u        	 S18^5     
+  17 	 E5u        	 S3        
+  18 	 E6u        	 S18^7     
+  19 	 E7u        	 S9^4      
+  20 	 E8u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20     
+   1   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  
+   2   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  
+   3   2.00000   1.87930   1.53200   1.00000   0.34730  -0.34730  -1.00000  -1.53200  -1.87930  -2.00000   2.00000  -1.87930  -1.53200  -1.00000  -0.34730   0.34730   1.00000   1.53200   1.87930  -2.00000  
+   4   2.00000   1.53200   0.34730  -1.00000  -1.87930  -1.87930  -1.00000   0.34730   1.53200   2.00000   2.00000   1.53200   0.34730  -1.00000  -1.87930  -1.87930  -1.00000   0.34730   1.53200   2.00000  
+   5   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000   2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000  -2.00000  
+   6   2.00000   0.34730  -1.87930  -1.00000   1.53200   1.53200  -1.00000  -1.87930   0.34730   2.00000   2.00000   0.34730  -1.87930  -1.00000   1.53200   1.53200  -1.00000  -1.87930   0.34730   2.00000  
+   7   2.00000  -0.34730  -1.87930   1.00000   1.53200  -1.53200  -1.00000   1.87930   0.34730  -2.00000   2.00000   0.34730   1.87930  -1.00000  -1.53200   1.53200   1.00000  -1.87930  -0.34730  -2.00000  
+   8   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  
+   9   2.00000  -1.53200   0.34730   1.00000  -1.87930   1.87930  -1.00000  -0.34730   1.53200  -2.00000   2.00000   1.53200  -0.34730  -1.00000   1.87930  -1.87930   1.00000   0.34730  -1.53200  -2.00000  
+  10   2.00000  -1.87930   1.53200  -1.00000   0.34730   0.34730  -1.00000   1.53200  -1.87930   2.00000   2.00000  -1.87930   1.53200  -1.00000   0.34730   0.34730  -1.00000   1.53200  -1.87930   2.00000  
+  11   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  
+  12   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  
+  13   2.00000   1.87930   1.53200   1.00000   0.34730  -0.34730  -1.00000  -1.53200  -1.87930  -2.00000  -2.00000   1.87930   1.53200   1.00000   0.34730  -0.34730  -1.00000  -1.53200  -1.87930   2.00000  
+  14   2.00000   1.53200   0.34730  -1.00000  -1.87930  -1.87930  -1.00000   0.34730   1.53200   2.00000  -2.00000  -1.53200  -0.34730   1.00000   1.87930   1.87930   1.00000  -0.34730  -1.53200  -2.00000  
+  15   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000   2.00000  
+  16   2.00000   0.34730  -1.87930  -1.00000   1.53200   1.53200  -1.00000  -1.87930   0.34730   2.00000  -2.00000  -0.34730   1.87930   1.00000  -1.53200  -1.53200   1.00000   1.87930  -0.34730  -2.00000  
+  17   2.00000  -0.34730  -1.87930   1.00000   1.53200  -1.53200  -1.00000   1.87930   0.34730  -2.00000  -2.00000  -0.34730  -1.87930   1.00000   1.53200  -1.53200  -1.00000   1.87930   0.34730   2.00000  
+  18   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000  
+  19   2.00000  -1.53200   0.34730   1.00000  -1.87930   1.87930  -1.00000  -0.34730   1.53200  -2.00000  -2.00000  -1.53200   0.34730   1.00000  -1.87930   1.87930  -1.00000  -0.34730   1.53200   2.00000  
+  20   2.00000  -1.87930   1.53200  -1.00000   0.34730   0.34730  -1.00000   1.53200  -1.87930   2.00000  -2.00000   1.87930  -1.53200   1.00000  -0.34730  -0.34730   1.00000  -1.53200   1.87930  -2.00000  
+

data/Symmetry/C18v

@@ -0,0 +1,32 @@
+Group	C18v 
+n	12
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C18       
+   3 	 B1         	 C9        
+   4 	 B2         	 C6        
+   5 	 E1         	 C9^2      
+   6 	 E2         	 C18^5     
+   7 	 E3         	 C3        
+   8 	 E4         	 C18^7     
+   9 	 E5         	 C9^4      
+  10 	 E6         	 C2        
+  11 	 E7         	 sv        
+  12 	 E8         	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000   1.00000  
+   5   2.00000   1.87930   1.53200   1.00000   0.34730  -0.34730  -1.00000  -1.53200  -1.87930  -2.00000   0.00000   0.00000  
+   6   2.00000   1.53200   0.34730  -1.00000  -1.87930  -1.87930  -1.00000   0.34730   1.53200   2.00000   0.00000   0.00000  
+   7   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000   0.00000   0.00000  
+   8   2.00000   0.34730  -1.87930  -1.00000   1.53200   1.53200  -1.00000  -1.87930   0.34730   2.00000   0.00000   0.00000  
+   9   2.00000  -0.34730  -1.87930   1.00000   1.53200  -1.53200  -1.00000   1.87930   0.34730  -2.00000   0.00000   0.00000  
+  10   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000   0.00000   0.00000  
+  11   2.00000  -1.53200   0.34730   1.00000  -1.87930   1.87930  -1.00000  -0.34730   1.53200  -2.00000   0.00000   0.00000  
+  12   2.00000  -1.87930   1.53200  -1.00000   0.34730   0.34730  -1.00000   1.53200  -1.87930   2.00000   0.00000   0.00000  
+

data/Symmetry/C19

@@ -0,0 +1,28 @@
+Group	C19 
+n	10
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C19       
+   3 	 E2         	 C19^2     
+   4 	 E3         	 C19^3     
+   5 	 E4         	 C19^4     
+   6 	 E5         	 C19^5     
+   7 	 E6         	 C19^6     
+   8 	 E7         	 C19^7     
+   9 	 E8         	 C19^8     
+  10 	 E9         	 C19^9     
+
+Table
+         1         2         3         4         5         6         7         8         9         10     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.89160   1.57820   1.09390   0.49090  -0.16510  -0.80330  -1.35450  -1.75890  -1.97270  
+   3   2.00000   1.57820   0.49090  -0.80330  -1.75890  -1.97270  -1.35450  -0.16510   1.09390   1.89160  
+   4   2.00000   1.09390  -0.80330  -1.97270  -1.35450   0.49090   1.89160   1.57820  -0.16510  -1.75890  
+   5   2.00000   0.49090  -1.75890  -1.35450   1.09390   1.89160  -0.16510  -1.97270  -0.80330   1.57820  
+   6   2.00000  -0.16510  -1.97270   0.49090   1.89160  -0.80330  -1.75890   1.09390   1.57820  -1.35450  
+   7   2.00000  -0.80330  -1.35450   1.89160  -0.16510  -1.75890   1.57820   0.49090  -1.97270   1.09390  
+   8   2.00000  -1.35450  -0.16510   1.57820  -1.97270   1.09390   0.49090  -1.75890   1.89160  -0.80330  
+   9   2.00000  -1.75890   1.09390  -0.16510  -0.80330   1.57820  -1.97270   1.89160  -1.35450   0.49090  
+  10   2.00000  -1.97270   1.89160  -1.75890   1.57820  -1.35450   1.09390  -0.80330   0.49090  -0.16510  
+

data/Symmetry/C19h

@@ -0,0 +1,48 @@
+Group	C19h 
+n	20
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C19       
+   3 	 E1'        	 C19^2     
+   4 	 E1"        	 C19^3     
+   5 	 E2'        	 C19^4     
+   6 	 E2"        	 C19^5     
+   7 	 E3'        	 C19^6     
+   8 	 E3"        	 C19^7     
+   9 	 E4'        	 C19^8     
+  10 	 E4"        	 C19^9     
+  11 	 E5'        	 sh        
+  12 	 E5"        	 S19       
+  13 	 E6'        	 S19^3     
+  14 	 E6"        	 S19^5     
+  15 	 E7'        	 S19^7     
+  16 	 E7"        	 S19^9     
+  17 	 E8'        	 S19^11    
+  18 	 E8"        	 S19^13    
+  19 	 E9'        	 S19^15    
+  20 	 E9"        	 S19^17    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20     
+   1   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  
+   2   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  
+   3   2.00000   1.89163   1.57828   1.09390   0.49097  -0.16516  -0.80339  -1.35456  -1.75895  -1.97272   2.00000   1.89163   1.09390  -0.16516  -1.35456  -1.97272  -1.75895  -0.80339   0.49097   1.57828  
+   4   2.00000   1.89163   1.57828   1.09390   0.49097  -0.16516  -0.80339  -1.35456  -1.75895  -1.97272  -2.00000  -1.89163  -1.09390   0.16516   1.35456   1.97272   1.75895   0.80339  -0.49097  -1.57828  
+   5   2.00000   1.57828   0.49097  -0.80339  -1.75895  -1.97272  -1.35456  -0.16516   1.09390   1.89163   2.00000   1.57828  -0.80339  -1.97272  -0.16516   1.89163   1.09390  -1.35456  -1.75895   0.49097  
+   6   2.00000   1.57828   0.49097  -0.80339  -1.75895  -1.97272  -1.35456  -0.16516   1.09390   1.89163  -2.00000  -1.57828   0.80339   1.97272   0.16516  -1.89163  -1.09390   1.35456   1.75895  -0.49097  
+   7   2.00000   1.09390  -0.80339  -1.97272  -1.35456   0.49097   1.89163   1.57828  -0.16516  -1.75895   2.00000   1.09390  -1.97272   0.49097   1.57828  -1.75895  -0.16516   1.89163  -1.35456  -0.80339  
+   8   2.00000   1.09390  -0.80339  -1.97272  -1.35456   0.49097   1.89163   1.57828  -0.16516  -1.75895  -2.00000  -1.09390   1.97272  -0.49097  -1.57828   1.75895   0.16516  -1.89163   1.35456   0.80339  
+   9   2.00000   0.49097  -1.75895  -1.35456   1.09390   1.89163  -0.16516  -1.97272  -0.80339   1.57828   2.00000   0.49097  -1.35456   1.89163  -1.97272   1.57828  -0.80339  -0.16516   1.09390  -1.75895  
+  10   2.00000   0.49097  -1.75895  -1.35456   1.09390   1.89163  -0.16516  -1.97272  -0.80339   1.57828  -2.00000  -0.49097   1.35456  -1.89163   1.97272  -1.57828   0.80339   0.16516  -1.09390   1.75895  
+  11   2.00000  -0.16516  -1.97272   0.49097   1.89163  -0.80339  -1.75895   1.09390   1.57828  -1.35456   2.00000  -0.16516   0.49097  -0.80339   1.09390  -1.35456   1.57828  -1.75895   1.89163  -1.97272  
+  12   2.00000  -0.16516  -1.97272   0.49097   1.89163  -0.80339  -1.75895   1.09390   1.57828  -1.35456  -2.00000   0.16516  -0.49097   0.80339  -1.09390   1.35456  -1.57828   1.75895  -1.89163   1.97272  
+  13   2.00000  -0.80339  -1.35456   1.89163  -0.16516  -1.75895   1.57828   0.49097  -1.97272   1.09390   2.00000  -0.80339   1.89163  -1.75895   0.49097   1.09390  -1.97272   1.57828  -0.16516  -1.35456  
+  14   2.00000  -0.80339  -1.35456   1.89163  -0.16516  -1.75895   1.57828   0.49097  -1.97272   1.09390  -2.00000   0.80339  -1.89163   1.75895  -0.49097  -1.09390   1.97272  -1.57828   0.16516   1.35456  
+  15   2.00000  -1.35456  -0.16516   1.57828  -1.97272   1.09390   0.49097  -1.75895   1.89163  -0.80339   2.00000  -1.35456   1.57828   1.09390  -1.75895  -0.80339   1.89163   0.49097  -1.97272  -0.16516  
+  16   2.00000  -1.35456  -0.16516   1.57828  -1.97272   1.09390   0.49097  -1.75895   1.89163  -0.80339  -2.00000   1.35456  -1.57828  -1.09390   1.75895   0.80339  -1.89163  -0.49097   1.97272   0.16516  
+  17   2.00000  -1.75895   1.09390  -0.16516  -0.80339   1.57828  -1.97272   1.89163  -1.35456   0.49097   2.00000  -1.75895  -0.16516   1.57828   1.89163   0.49097  -1.35456  -1.97272  -0.80339   1.09390  
+  18   2.00000  -1.75895   1.09390  -0.16516  -0.80339   1.57828  -1.97272   1.89163  -1.35456   0.49097  -2.00000   1.75895   0.16516  -1.57828  -1.89163  -0.49097   1.35456   1.97272   0.80339  -1.09390  
+  19   2.00000  -1.97272   1.89163  -1.75895   1.57828  -1.35456   1.09390  -0.80339   0.49097  -0.16516   2.00000  -1.97272  -1.75895  -1.35456  -0.80339  -0.16516   0.49097   1.09390   1.57828   1.89163  
+  20   2.00000  -1.97272   1.89163  -1.75895   1.57828  -1.35456   1.09390  -0.80339   0.49097  -0.16516  -2.00000   1.97272   1.75895   1.35456   0.80339   0.16516  -0.49097  -1.09390  -1.57828  -1.89163  
+

data/Symmetry/C19v

@@ -0,0 +1,30 @@
+Group	C19v 
+n	11
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C19       
+   3 	 E1         	 C19^2     
+   4 	 E2         	 C19^3     
+   5 	 E3         	 C19^4     
+   6 	 E4         	 C19^5     
+   7 	 E5         	 C19^6     
+   8 	 E6         	 C19^7     
+   9 	 E7         	 C19^8     
+  10 	 E8         	 C19^9     
+  11 	 E9         	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   1.89160   1.57820   1.09390   0.49090  -0.16510  -0.80330  -1.35450  -1.75890  -1.97270   0.00000  
+   4   2.00000   1.57820   0.49090  -0.80330  -1.75890  -1.97270  -1.35450  -0.16510   1.09390   1.89160   0.00000  
+   5   2.00000   1.09390  -0.80330  -1.97270  -1.35450   0.49090   1.89160   1.57820  -0.16510  -1.75890   0.00000  
+   6   2.00000   0.49090  -1.75890  -1.35450   1.09390   1.89160  -0.16510  -1.97270  -0.80330   1.57820   0.00000  
+   7   2.00000  -0.16510  -1.97270   0.49090   1.89160  -0.80330  -1.75890   1.09390   1.57820  -1.35450   0.00000  
+   8   2.00000  -0.80330  -1.35450   1.89160  -0.16510  -1.75890   1.57820   0.49090  -1.97270   1.09390   0.00000  
+   9   2.00000  -1.35450  -0.16510   1.57820  -1.97270   1.09390   0.49090  -1.75890   1.89160  -0.80330   0.00000  
+  10   2.00000  -1.75890   1.09390  -0.16510  -0.80330   1.57820  -1.97270   1.89160  -1.35450   0.49090   0.00000  
+  11   2.00000  -1.97270   1.89160  -1.75890   1.57820  -1.35450   1.09390  -0.80330   0.49090  -0.16510   0.00000  
+

data/Symmetry/C1h

@@ -0,0 +1,12 @@
+Group	C1h 
+n	2
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 sh        
+
+Table
+         1         2      
+   1   1.00000   1.00000  
+   2   1.00000  -1.00000  
+

data/Symmetry/C1v

@@ -0,0 +1,12 @@
+Group	C1v 
+n	2
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 sv        
+
+Table
+         1         2      
+   1   1.00000   1.00000  
+   2   1.00000  -1.00000  
+

data/Symmetry/C2

@@ -0,0 +1,12 @@
+Group	C2 
+n	2
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C2        
+
+Table
+         1         2      
+   1   1.00000   1.00000  
+   2   1.00000  -1.00000  
+

data/Symmetry/C20

@@ -0,0 +1,30 @@
+Group	C20 
+n	11
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C20       
+   3 	 E1         	 C10       
+   4 	 E2         	 C20^3     
+   5 	 E3         	 C5        
+   6 	 E4         	 C4        
+   7 	 E5         	 C10^3     
+   8 	 E6         	 C20^7     
+   9 	 E7         	 C5^2      
+  10 	 E8         	 C20^9     
+  11 	 E9         	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  
+   3   2.00000   1.90210   1.61800   1.17550   0.61800   0.00000  -0.61800  -1.17550  -1.61800  -1.90210  -2.00000  
+   4   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  -1.61800  -0.61800   0.61800   1.61800   2.00000  
+   5   2.00000   1.17550  -0.61800  -1.90210  -1.61800   0.00000   1.61800   1.90210   0.61800  -1.17550  -2.00000  
+   6   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000  
+   7   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  
+   8   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   0.61800   1.61800  -1.61800  -0.61800   2.00000  
+   9   2.00000  -1.17550  -0.61800   1.90210  -1.61800   0.00000   1.61800  -1.90210   0.61800   1.17550  -2.00000  
+  10   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  
+  11   2.00000  -1.90210   1.61800  -1.17550   0.61800   0.00000  -0.61800   1.17550  -1.61800   1.90210  -2.00000  
+

data/Symmetry/C20h

@@ -0,0 +1,52 @@
+Group	C20h 
+n	22
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C20       
+   3 	 E1g        	 C10       
+   4 	 E2g        	 C20^3     
+   5 	 E3g        	 C5        
+   6 	 E4g        	 C4        
+   7 	 E5g        	 C10^3     
+   8 	 E6g        	 C20^7     
+   9 	 E7g        	 C5^2      
+  10 	 E8g        	 C20^9     
+  11 	 E9g        	 C2        
+  12 	 Au         	 i         
+  13 	 Bu         	 S20       
+  14 	 E1u        	 S10       
+  15 	 E2u        	 S20^3     
+  16 	 E3u        	 S5        
+  17 	 E4u        	 S4        
+  18 	 E5u        	 S10^3     
+  19 	 E6u        	 S20^7     
+  20 	 E7u        	 S5^2      
+  21 	 E8u        	 S20^9     
+  22 	 E9u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22     
+   1   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  
+   2   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  
+   3   2.00000   1.90210   1.61800   1.17550   0.61800   0.00000  -0.61800  -1.17550  -1.61800  -1.90210  -2.00000   2.00000  -1.90210  -1.61800  -1.17550  -0.61800   0.00000   0.61800   1.17550   1.61800   1.90210  -2.00000  
+   4   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  -1.61800  -0.61800   0.61800   1.61800   2.00000   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  -1.61800  -0.61800   0.61800   1.61800   2.00000  
+   5   2.00000   1.17550  -0.61800  -1.90210  -1.61800   0.00000   1.61800   1.90210   0.61800  -1.17550  -2.00000   2.00000  -1.17550   0.61800   1.90210   1.61800   0.00000  -1.61800  -1.90210  -0.61800   1.17550  -2.00000  
+   6   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000  
+   7   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000  -2.00000  
+   8   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   0.61800   1.61800  -1.61800  -0.61800   2.00000   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   0.61800   1.61800  -1.61800  -0.61800   2.00000  
+   9   2.00000  -1.17550  -0.61800   1.90210  -1.61800   0.00000   1.61800  -1.90210   0.61800   1.17550  -2.00000   2.00000   1.17550   0.61800  -1.90210   1.61800   0.00000  -1.61800   1.90210  -0.61800  -1.17550  -2.00000  
+  10   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  
+  11   2.00000  -1.90210   1.61800  -1.17550   0.61800   0.00000  -0.61800   1.17550  -1.61800   1.90210  -2.00000   2.00000   1.90210  -1.61800   1.17550  -0.61800   0.00000   0.61800  -1.17550   1.61800  -1.90210  -2.00000  
+  12   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  
+  13   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  
+  14   2.00000   1.90210   1.61800   1.17550   0.61800   0.00000  -0.61800  -1.17550  -1.61800  -1.90210  -2.00000  -2.00000   1.90210   1.61800   1.17550   0.61800   0.00000  -0.61800  -1.17550  -1.61800  -1.90210   2.00000  
+  15   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  -1.61800  -0.61800   0.61800   1.61800   2.00000  -2.00000  -1.61800  -0.61800   0.61800   1.61800   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  
+  16   2.00000   1.17550  -0.61800  -1.90210  -1.61800   0.00000   1.61800   1.90210   0.61800  -1.17550  -2.00000  -2.00000   1.17550  -0.61800  -1.90210  -1.61800   0.00000   1.61800   1.90210   0.61800  -1.17550   2.00000  
+  17   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000  -2.00000  -0.61800   1.61800   1.61800  -0.61800  -2.00000  -0.61800   1.61800   1.61800  -0.61800  -2.00000  
+  18   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  -2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000   2.00000  
+  19   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   0.61800   1.61800  -1.61800  -0.61800   2.00000  -2.00000   0.61800   1.61800  -1.61800  -0.61800   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000  
+  20   2.00000  -1.17550  -0.61800   1.90210  -1.61800   0.00000   1.61800  -1.90210   0.61800   1.17550  -2.00000  -2.00000  -1.17550  -0.61800   1.90210  -1.61800   0.00000   1.61800  -1.90210   0.61800   1.17550   2.00000  
+  21   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -2.00000   1.61800  -0.61800  -0.61800   1.61800  -2.00000   1.61800  -0.61800  -0.61800   1.61800  -2.00000  
+  22   2.00000  -1.90210   1.61800  -1.17550   0.61800   0.00000  -0.61800   1.17550  -1.61800   1.90210  -2.00000  -2.00000  -1.90210   1.61800  -1.17550   0.61800   0.00000  -0.61800   1.17550  -1.61800   1.90210   2.00000  
+

data/Symmetry/C20v

@@ -0,0 +1,34 @@
+Group	C20v 
+n	13
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C20       
+   3 	 B1         	 C10       
+   4 	 B2         	 C20^3     
+   5 	 E1         	 C5        
+   6 	 E2         	 C4        
+   7 	 E3         	 C10^3     
+   8 	 E4         	 C20^7     
+   9 	 E5         	 C5^2      
+  10 	 E6         	 C20^9     
+  11 	 E7         	 C2        
+  12 	 E8         	 sv        
+  13 	 E9         	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.90210   1.61800   1.17550   0.61800   0.00000  -0.61800  -1.17550  -1.61800  -1.90210  -2.00000   0.00000   0.00000  
+   6   2.00000   1.61800   0.61800  -0.61800  -1.61800  -2.00000  -1.61800  -0.61800   0.61800   1.61800   2.00000   0.00000   0.00000  
+   7   2.00000   1.17550  -0.61800  -1.90210  -1.61800   0.00000   1.61800   1.90210   0.61800  -1.17550  -2.00000   0.00000   0.00000  
+   8   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.61800  -1.61800  -1.61800   0.61800   2.00000   0.00000   0.00000  
+   9   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   0.00000  
+  10   2.00000  -0.61800  -1.61800   1.61800   0.61800  -2.00000   0.61800   1.61800  -1.61800  -0.61800   2.00000   0.00000   0.00000  
+  11   2.00000  -1.17550  -0.61800   1.90210  -1.61800   0.00000   1.61800  -1.90210   0.61800   1.17550  -2.00000   0.00000   0.00000  
+  12   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000  -1.61800   0.61800   0.61800  -1.61800   2.00000   0.00000   0.00000  
+  13   2.00000  -1.90210   1.61800  -1.17550   0.61800   0.00000  -0.61800   1.17550  -1.61800   1.90210  -2.00000   0.00000   0.00000  
+

data/Symmetry/C21

@@ -0,0 +1,30 @@
+Group	C21 
+n	11
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C21       
+   3 	 E2         	 C21^2     
+   4 	 E3         	 C7        
+   5 	 E4         	 C21^4     
+   6 	 E5         	 C21^5     
+   7 	 E6         	 C7^2      
+   8 	 E7         	 C3        
+   9 	 E8         	 C21^8     
+  10 	 E9         	 C7^3      
+  11 	 E10        	 C21^10    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  
+   3   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115  
+   4   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  
+   5   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248  
+   6   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  
+   7   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698  
+   8   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  
+   9   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068  
+  10   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  
+  11   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946  
+

data/Symmetry/C21h

@@ -0,0 +1,52 @@
+Group	C21h 
+n	22
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C21       
+   3 	 E1'        	 C21^2     
+   4 	 E1"        	 C7        
+   5 	 E2'        	 C21^4     
+   6 	 E2"        	 C21^5     
+   7 	 E3'        	 C7^2      
+   8 	 E3"        	 C3        
+   9 	 E4'        	 C21^8     
+  10 	 E4"        	 C7^3      
+  11 	 E5'        	 C21^10    
+  12 	 E5"        	 sh        
+  13 	 E6'        	 S21       
+  14 	 E6"        	 S7        
+  15 	 E7'        	 S21^5     
+  16 	 E7"        	 S3        
+  17 	 E8'        	 S7^3      
+  18 	 E8"        	 S21^11    
+  19 	 E9'        	 S21^13    
+  20 	 E9"        	 S7^5      
+  21 	 E10'       	 S21^17    
+  22 	 E10"       	 S21^19    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22     
+   1   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  
+   2   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  
+   3   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766   2.00000   1.91115   1.24698   0.14946  -1.00000  -1.80194  -1.97766  -1.46610  -0.44504   0.73068   1.65248  
+   4   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  -2.00000  -1.91115  -1.24698  -0.14946   1.00000   1.80194   1.97766   1.46610   0.44504  -0.73068  -1.65248  
+   5   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   2.00000   1.65248  -0.44504  -1.97766  -1.00000   1.24698   1.91115   0.14946  -1.80194  -1.46610   0.73068  
+   6   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115  -2.00000  -1.65248   0.44504   1.97766   1.00000  -1.24698  -1.91115  -0.14946   1.80194   1.46610  -0.73068  
+   7   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194   2.00000   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504  
+   8   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -2.00000  -1.24698   1.80194   0.44504  -2.00000   0.44504   1.80194  -1.24698  -1.24698   1.80194   0.44504  
+   9   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   2.00000   0.73068  -1.80194   1.91115  -1.00000  -0.44504   1.65248  -1.97766   1.24698   0.14946  -1.46610  
+  10   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248  -2.00000  -0.73068   1.80194  -1.91115   1.00000   0.44504  -1.65248   1.97766  -1.24698  -0.14946   1.46610  
+  11   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610   2.00000   0.14946  -0.44504   0.73068  -1.00000   1.24698  -1.46610   1.65248  -1.80194   1.91115  -1.97766  
+  12   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  -2.00000  -0.14946   0.44504  -0.73068   1.00000  -1.24698   1.46610  -1.65248   1.80194  -1.91115   1.97766  
+  13   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   2.00000  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194  
+  14   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698  -2.00000   0.44504  -1.24698   1.80194  -2.00000   1.80194  -1.24698   0.44504   0.44504  -1.24698   1.80194  
+  15   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000   2.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000  
+  16   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -2.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  
+  17   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   2.00000  -1.46610   1.24698   1.65248  -1.00000  -1.80194   0.73068   1.91115  -0.44504  -1.97766   0.14946  
+  18   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068  -2.00000   1.46610  -1.24698  -1.65248   1.00000   1.80194  -0.73068  -1.91115   0.44504   1.97766  -0.14946  
+  19   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504   2.00000  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698  
+  20   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -2.00000   1.80194   0.44504  -1.24698  -2.00000  -1.24698   0.44504   1.80194   1.80194   0.44504  -1.24698  
+  21   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   2.00000  -1.97766  -1.80194  -1.46610  -1.00000  -0.44504   0.14946   0.73068   1.24698   1.65248   1.91115  
+  22   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946  -2.00000   1.97766   1.80194   1.46610   1.00000   0.44504  -0.14946  -0.73068  -1.24698  -1.65248  -1.91115  
+

data/Symmetry/C21v

@@ -0,0 +1,32 @@
+Group	C21v 
+n	12
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C21       
+   3 	 E1         	 C21^2     
+   4 	 E2         	 C7        
+   5 	 E3         	 C21^4     
+   6 	 E4         	 C21^5     
+   7 	 E5         	 C7^2      
+   8 	 E6         	 C3        
+   9 	 E7         	 C21^8     
+  10 	 E8         	 C7^3      
+  11 	 E9         	 C21^10    
+  12 	 E10        	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766   0.00000  
+   4   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   0.00000  
+   5   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194   0.00000  
+   6   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   0.00000  
+   7   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610   0.00000  
+   8   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   0.00000  
+   9   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000   0.00000  
+  10   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.00000  
+  11   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504   0.00000  
+  12   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.00000  
+

data/Symmetry/C22

@@ -0,0 +1,32 @@
+Group	C22 
+n	12
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C22       
+   3 	 E1         	 C11       
+   4 	 E2         	 C22^3     
+   5 	 E3         	 C11^2     
+   6 	 E4         	 C22^5     
+   7 	 E5         	 C11^3     
+   8 	 E6         	 C22^7     
+   9 	 E7         	 C11^4     
+  10 	 E8         	 C22^9     
+  11 	 E9         	 C11^5     
+  12 	 E10        	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   3   2.00000   1.91890   1.68250   1.30970   0.83080   0.28460  -0.28460  -0.83080  -1.30970  -1.68250  -1.91890  -2.00000  
+   4   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  -1.91890  -1.30970  -0.28460   0.83080   1.68250   2.00000  
+   5   2.00000   1.30970  -0.28460  -1.68250  -1.91890  -0.83080   0.83080   1.91890   1.68250   0.28460  -1.30970  -2.00000  
+   6   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   1.68250  -0.28460  -1.91890  -1.30970   0.83080   2.00000  
+   7   2.00000   0.28460  -1.91890  -0.83080   1.68250   1.30970  -1.30970  -1.68250   0.83080   1.91890  -0.28460  -2.00000  
+   8   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  -1.30970   1.68250   0.83080  -1.91890  -0.28460   2.00000  
+   9   2.00000  -0.83080  -1.30970   1.91890  -0.28460  -1.68250   1.68250   0.28460  -1.91890   1.30970   0.83080  -2.00000  
+  10   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   0.83080  -1.91890   1.68250  -0.28460  -1.30970   2.00000  
+  11   2.00000  -1.68250   0.83080   0.28460  -1.30970   1.91890  -1.91890   1.30970  -0.28460  -0.83080   1.68250  -2.00000  
+  12   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  -0.28460   0.83080  -1.30970   1.68250  -1.91890   2.00000  
+

data/Symmetry/C22h

@@ -0,0 +1,56 @@
+Group	C22h 
+n	24
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C22       
+   3 	 E1g        	 C11       
+   4 	 E2g        	 C22^3     
+   5 	 E3g        	 C11^2     
+   6 	 E4g        	 C22^5     
+   7 	 E5g        	 C11^3     
+   8 	 E6g        	 C22^7     
+   9 	 E7g        	 C11^4     
+  10 	 E8g        	 C22^9     
+  11 	 E9g        	 C11^5     
+  12 	 E10g       	 C2        
+  13 	 Au         	 i         
+  14 	 Bu         	 S22       
+  15 	 E1u        	 S11       
+  16 	 E2u        	 S22^3     
+  17 	 E3u        	 S11^2     
+  18 	 E4u        	 S22^5     
+  19 	 E5u        	 S11^3     
+  20 	 E6u        	 S22^7     
+  21 	 E7u        	 S11^4     
+  22 	 E8u        	 S22^9     
+  23 	 E9u        	 S11^5     
+  24 	 E10u       	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24     
+   1   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  
+   2   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  
+   3   2.00000   1.91890   1.68250   1.30970   0.83080   0.28460  -0.28460  -0.83080  -1.30970  -1.68250  -1.91890  -2.00000   2.00000  -1.91890  -1.68250  -1.30970  -0.83080  -0.28460   0.28460   0.83080   1.30970   1.68250   1.91890  -2.00000  
+   4   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  -1.91890  -1.30970  -0.28460   0.83080   1.68250   2.00000   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  -1.91890  -1.30970  -0.28460   0.83080   1.68250   2.00000  
+   5   2.00000   1.30970  -0.28460  -1.68250  -1.91890  -0.83080   0.83080   1.91890   1.68250   0.28460  -1.30970  -2.00000   2.00000  -1.30970   0.28460   1.68250   1.91890   0.83080  -0.83080  -1.91890  -1.68250  -0.28460   1.30970  -2.00000  
+   6   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   1.68250  -0.28460  -1.91890  -1.30970   0.83080   2.00000   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   1.68250  -0.28460  -1.91890  -1.30970   0.83080   2.00000  
+   7   2.00000   0.28460  -1.91890  -0.83080   1.68250   1.30970  -1.30970  -1.68250   0.83080   1.91890  -0.28460  -2.00000   2.00000  -0.28460   1.91890   0.83080  -1.68250  -1.30970   1.30970   1.68250  -0.83080  -1.91890   0.28460  -2.00000  
+   8   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  -1.30970   1.68250   0.83080  -1.91890  -0.28460   2.00000   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  -1.30970   1.68250   0.83080  -1.91890  -0.28460   2.00000  
+   9   2.00000  -0.83080  -1.30970   1.91890  -0.28460  -1.68250   1.68250   0.28460  -1.91890   1.30970   0.83080  -2.00000   2.00000   0.83080   1.30970  -1.91890   0.28460   1.68250  -1.68250  -0.28460   1.91890  -1.30970  -0.83080  -2.00000  
+  10   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   0.83080  -1.91890   1.68250  -0.28460  -1.30970   2.00000   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   0.83080  -1.91890   1.68250  -0.28460  -1.30970   2.00000  
+  11   2.00000  -1.68250   0.83080   0.28460  -1.30970   1.91890  -1.91890   1.30970  -0.28460  -0.83080   1.68250  -2.00000   2.00000   1.68250  -0.83080  -0.28460   1.30970  -1.91890   1.91890  -1.30970   0.28460   0.83080  -1.68250  -2.00000  
+  12   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  -0.28460   0.83080  -1.30970   1.68250  -1.91890   2.00000   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  -0.28460   0.83080  -1.30970   1.68250  -1.91890   2.00000  
+  13   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  
+  14   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  
+  15   2.00000   1.91890   1.68250   1.30970   0.83080   0.28460  -0.28460  -0.83080  -1.30970  -1.68250  -1.91890  -2.00000  -2.00000   1.91890   1.68250   1.30970   0.83080   0.28460  -0.28460  -0.83080  -1.30970  -1.68250  -1.91890   2.00000  
+  16   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  -1.91890  -1.30970  -0.28460   0.83080   1.68250   2.00000  -2.00000  -1.68250  -0.83080   0.28460   1.30970   1.91890   1.91890   1.30970   0.28460  -0.83080  -1.68250  -2.00000  
+  17   2.00000   1.30970  -0.28460  -1.68250  -1.91890  -0.83080   0.83080   1.91890   1.68250   0.28460  -1.30970  -2.00000  -2.00000   1.30970  -0.28460  -1.68250  -1.91890  -0.83080   0.83080   1.91890   1.68250   0.28460  -1.30970   2.00000  
+  18   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   1.68250  -0.28460  -1.91890  -1.30970   0.83080   2.00000  -2.00000  -0.83080   1.30970   1.91890   0.28460  -1.68250  -1.68250   0.28460   1.91890   1.30970  -0.83080  -2.00000  
+  19   2.00000   0.28460  -1.91890  -0.83080   1.68250   1.30970  -1.30970  -1.68250   0.83080   1.91890  -0.28460  -2.00000  -2.00000   0.28460  -1.91890  -0.83080   1.68250   1.30970  -1.30970  -1.68250   0.83080   1.91890  -0.28460   2.00000  
+  20   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  -1.30970   1.68250   0.83080  -1.91890  -0.28460   2.00000  -2.00000   0.28460   1.91890  -0.83080  -1.68250   1.30970   1.30970  -1.68250  -0.83080   1.91890   0.28460  -2.00000  
+  21   2.00000  -0.83080  -1.30970   1.91890  -0.28460  -1.68250   1.68250   0.28460  -1.91890   1.30970   0.83080  -2.00000  -2.00000  -0.83080  -1.30970   1.91890  -0.28460  -1.68250   1.68250   0.28460  -1.91890   1.30970   0.83080   2.00000  
+  22   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   0.83080  -1.91890   1.68250  -0.28460  -1.30970   2.00000  -2.00000   1.30970   0.28460  -1.68250   1.91890  -0.83080  -0.83080   1.91890  -1.68250   0.28460   1.30970  -2.00000  
+  23   2.00000  -1.68250   0.83080   0.28460  -1.30970   1.91890  -1.91890   1.30970  -0.28460  -0.83080   1.68250  -2.00000  -2.00000  -1.68250   0.83080   0.28460  -1.30970   1.91890  -1.91890   1.30970  -0.28460  -0.83080   1.68250   2.00000  
+  24   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  -0.28460   0.83080  -1.30970   1.68250  -1.91890   2.00000  -2.00000   1.91890  -1.68250   1.30970  -0.83080   0.28460   0.28460  -0.83080   1.30970  -1.68250   1.91890  -2.00000  
+

data/Symmetry/C22v

@@ -0,0 +1,36 @@
+Group	C22v 
+n	14
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C22       
+   3 	 B1         	 C11       
+   4 	 B2         	 C22^3     
+   5 	 E1         	 C11^2     
+   6 	 E2         	 C22^5     
+   7 	 E3         	 C11^3     
+   8 	 E4         	 C22^7     
+   9 	 E5         	 C11^4     
+  10 	 E6         	 C22^9     
+  11 	 E7         	 C11^5     
+  12 	 E8         	 C2        
+  13 	 E9         	 sv        
+  14 	 E10        	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.91890   1.68250   1.30970   0.83080   0.28460  -0.28460  -0.83080  -1.30970  -1.68250  -1.91890  -2.00000   0.00000   0.00000  
+   6   2.00000   1.68250   0.83080  -0.28460  -1.30970  -1.91890  -1.91890  -1.30970  -0.28460   0.83080   1.68250   2.00000   0.00000   0.00000  
+   7   2.00000   1.30970  -0.28460  -1.68250  -1.91890  -0.83080   0.83080   1.91890   1.68250   0.28460  -1.30970  -2.00000   0.00000   0.00000  
+   8   2.00000   0.83080  -1.30970  -1.91890  -0.28460   1.68250   1.68250  -0.28460  -1.91890  -1.30970   0.83080   2.00000   0.00000   0.00000  
+   9   2.00000   0.28460  -1.91890  -0.83080   1.68250   1.30970  -1.30970  -1.68250   0.83080   1.91890  -0.28460  -2.00000   0.00000   0.00000  
+  10   2.00000  -0.28460  -1.91890   0.83080   1.68250  -1.30970  -1.30970   1.68250   0.83080  -1.91890  -0.28460   2.00000   0.00000   0.00000  
+  11   2.00000  -0.83080  -1.30970   1.91890  -0.28460  -1.68250   1.68250   0.28460  -1.91890   1.30970   0.83080  -2.00000   0.00000   0.00000  
+  12   2.00000  -1.30970  -0.28460   1.68250  -1.91890   0.83080   0.83080  -1.91890   1.68250  -0.28460  -1.30970   2.00000   0.00000   0.00000  
+  13   2.00000  -1.68250   0.83080   0.28460  -1.30970   1.91890  -1.91890   1.30970  -0.28460  -0.83080   1.68250  -2.00000   0.00000   0.00000  
+  14   2.00000  -1.91890   1.68250  -1.30970   0.83080  -0.28460  -0.28460   0.83080  -1.30970   1.68250  -1.91890   2.00000   0.00000   0.00000  
+

data/Symmetry/C23

@@ -0,0 +1,32 @@
+Group	C23 
+n	12
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C23       
+   3 	 E2         	 C23^2     
+   4 	 E3         	 C23^3     
+   5 	 E4         	 C23^4     
+   6 	 E5         	 C23^5     
+   7 	 E6         	 C23^6     
+   8 	 E7         	 C23^7     
+   9 	 E8         	 C23^8     
+  10 	 E9         	 C23^9     
+  11 	 E10        	 C23^10    
+  12 	 E11        	 C23^11    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12     
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   2.00000   1.92583   1.70884   1.36511   0.92013   0.40691  -0.13648  -0.66976  -1.15336  -1.55142  -1.83442  -1.98137  
+   3   2.00000   1.70884   0.92013  -0.13648  -1.15336  -1.83442  -1.98137  -1.55142  -0.66976   0.40691   1.36511   1.92583  
+   4   2.00000   1.36511  -0.13648  -1.55142  -1.98137  -1.15336   0.40691   1.70884   1.92583   0.92013  -0.66976  -1.83442  
+   5   2.00000   0.92013  -1.15336  -1.98137  -0.66976   1.36511   1.92583   0.40691  -1.55142  -1.83442  -0.13648   1.70884  
+   6   2.00000   0.40691  -1.83442  -1.15336   1.36511   1.70884  -0.66976  -1.98137  -0.13648   1.92583   0.92013  -1.55142  
+   7   2.00000  -0.13648  -1.98137   0.40691   1.92583  -0.66976  -1.83442   0.92013   1.70884  -1.15336  -1.55142   1.36511  
+   8   2.00000  -0.66976  -1.55142   1.70884   0.40691  -1.98137   0.92013   1.36511  -1.83442  -0.13648   1.92583  -1.15336  
+   9   2.00000  -1.15336  -0.66976   1.92583  -1.55142  -0.13648   1.70884  -1.83442   0.40691   1.36511  -1.98137   0.92013  
+  10   2.00000  -1.55142   0.40691   0.92013  -1.83442   1.92583  -1.15336  -0.13648   1.36511  -1.98137   1.70884  -0.66976  
+  11   2.00000  -1.83442   1.36511  -0.66976  -0.13648   0.92013  -1.55142   1.92583  -1.98137   1.70884  -1.15336   0.40691  
+  12   2.00000  -1.98137   1.92583  -1.83442   1.70884  -1.55142   1.36511  -1.15336   0.92013  -0.66976   0.40691  -0.13648  
+

data/Symmetry/C23h

@@ -0,0 +1,56 @@
+Group	C23h 
+n	24
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C23       
+   3 	 E1'        	 C23^2     
+   4 	 E1"        	 C23^3     
+   5 	 E2'        	 C23^4     
+   6 	 E2"        	 C23^5     
+   7 	 E3'        	 C23^6     
+   8 	 E3"        	 C23^7     
+   9 	 E4'        	 C23^8     
+  10 	 E4"        	 C23^9     
+  11 	 E5'        	 C23^10    
+  12 	 E5"        	 C23^11    
+  13 	 E6'        	 sh        
+  14 	 E6"        	 S23       
+  15 	 E7'        	 S23^3     
+  16 	 E7"        	 S23^5     
+  17 	 E8'        	 S23^7     
+  18 	 E8"        	 S23^9     
+  19 	 E9'        	 S23^11    
+  20 	 E9"        	 S23^13    
+  21 	 E10'       	 S23^15    
+  22 	 E10"       	 S23^17    
+  23 	 E11'       	 S23^19    
+  24 	 E11"       	 S23^21    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24     
+   1   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  
+   2   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  
+   3   2.00000   1.92583   1.70884   1.36511   0.92013   0.40691  -0.13648  -0.66976  -1.15336  -1.55142  -1.83442  -1.98137   2.00000   1.92583   1.36511   0.40691  -0.66976  -1.55142  -1.98137  -1.83442  -1.15336  -0.13648   0.92013   1.70884  
+   4   2.00000   1.92583   1.70884   1.36511   0.92013   0.40691  -0.13648  -0.66976  -1.15336  -1.55142  -1.83442  -1.98137  -2.00000  -1.92583  -1.36511  -0.40691   0.66976   1.55142   1.98137   1.83442   1.15336   0.13648  -0.92013  -1.70884  
+   5   2.00000   1.70884   0.92013  -0.13648  -1.15336  -1.83442  -1.98137  -1.55142  -0.66976   0.40691   1.36511   1.92583   2.00000   1.70884  -0.13648  -1.83442  -1.55142   0.40691   1.92583   1.36511  -0.66976  -1.98137  -1.15336   0.92013  
+   6   2.00000   1.70884   0.92013  -0.13648  -1.15336  -1.83442  -1.98137  -1.55142  -0.66976   0.40691   1.36511   1.92583  -2.00000  -1.70884   0.13648   1.83442   1.55142  -0.40691  -1.92583  -1.36511   0.66976   1.98137   1.15336  -0.92013  
+   7   2.00000   1.36511  -0.13648  -1.55142  -1.98137  -1.15336   0.40691   1.70884   1.92583   0.92013  -0.66976  -1.83442   2.00000   1.36511  -1.55142  -1.15336   1.70884   0.92013  -1.83442  -0.66976   1.92583   0.40691  -1.98137  -0.13648  
+   8   2.00000   1.36511  -0.13648  -1.55142  -1.98137  -1.15336   0.40691   1.70884   1.92583   0.92013  -0.66976  -1.83442  -2.00000  -1.36511   1.55142   1.15336  -1.70884  -0.92013   1.83442   0.66976  -1.92583  -0.40691   1.98137   0.13648  
+   9   2.00000   0.92013  -1.15336  -1.98137  -0.66976   1.36511   1.92583   0.40691  -1.55142  -1.83442  -0.13648   1.70884   2.00000   0.92013  -1.98137   1.36511   0.40691  -1.83442   1.70884  -0.13648  -1.55142   1.92583  -0.66976  -1.15336  
+  10   2.00000   0.92013  -1.15336  -1.98137  -0.66976   1.36511   1.92583   0.40691  -1.55142  -1.83442  -0.13648   1.70884  -2.00000  -0.92013   1.98137  -1.36511  -0.40691   1.83442  -1.70884   0.13648   1.55142  -1.92583   0.66976   1.15336  
+  11   2.00000   0.40691  -1.83442  -1.15336   1.36511   1.70884  -0.66976  -1.98137  -0.13648   1.92583   0.92013  -1.55142   2.00000   0.40691  -1.15336   1.70884  -1.98137   1.92583  -1.55142   0.92013  -0.13648  -0.66976   1.36511  -1.83442  
+  12   2.00000   0.40691  -1.83442  -1.15336   1.36511   1.70884  -0.66976  -1.98137  -0.13648   1.92583   0.92013  -1.55142  -2.00000  -0.40691   1.15336  -1.70884   1.98137  -1.92583   1.55142  -0.92013   0.13648   0.66976  -1.36511   1.83442  
+  13   2.00000  -0.13648  -1.98137   0.40691   1.92583  -0.66976  -1.83442   0.92013   1.70884  -1.15336  -1.55142   1.36511   2.00000  -0.13648   0.40691  -0.66976   0.92013  -1.15336   1.36511  -1.55142   1.70884  -1.83442   1.92583  -1.98137  
+  14   2.00000  -0.13648  -1.98137   0.40691   1.92583  -0.66976  -1.83442   0.92013   1.70884  -1.15336  -1.55142   1.36511  -2.00000   0.13648  -0.40691   0.66976  -0.92013   1.15336  -1.36511   1.55142  -1.70884   1.83442  -1.92583   1.98137  
+  15   2.00000  -0.66976  -1.55142   1.70884   0.40691  -1.98137   0.92013   1.36511  -1.83442  -0.13648   1.92583  -1.15336   2.00000  -0.66976   1.70884  -1.98137   1.36511  -0.13648  -1.15336   1.92583  -1.83442   0.92013   0.40691  -1.55142  
+  16   2.00000  -0.66976  -1.55142   1.70884   0.40691  -1.98137   0.92013   1.36511  -1.83442  -0.13648   1.92583  -1.15336  -2.00000   0.66976  -1.70884   1.98137  -1.36511   0.13648   1.15336  -1.92583   1.83442  -0.92013  -0.40691   1.55142  
+  17   2.00000  -1.15336  -0.66976   1.92583  -1.55142  -0.13648   1.70884  -1.83442   0.40691   1.36511  -1.98137   0.92013   2.00000  -1.15336   1.92583  -0.13648  -1.83442   1.36511   0.92013  -1.98137   0.40691   1.70884  -1.55142  -0.66976  
+  18   2.00000  -1.15336  -0.66976   1.92583  -1.55142  -0.13648   1.70884  -1.83442   0.40691   1.36511  -1.98137   0.92013  -2.00000   1.15336  -1.92583   0.13648   1.83442  -1.36511  -0.92013   1.98137  -0.40691  -1.70884   1.55142   0.66976  
+  19   2.00000  -1.55142   0.40691   0.92013  -1.83442   1.92583  -1.15336  -0.13648   1.36511  -1.98137   1.70884  -0.66976   2.00000  -1.55142   0.92013   1.92583  -0.13648  -1.98137  -0.66976   1.70884   1.36511  -1.15336  -1.83442   0.40691  
+  20   2.00000  -1.55142   0.40691   0.92013  -1.83442   1.92583  -1.15336  -0.13648   1.36511  -1.98137   1.70884  -0.66976  -2.00000   1.55142  -0.92013  -1.92583   0.13648   1.98137   0.66976  -1.70884  -1.36511   1.15336   1.83442  -0.40691  
+  21   2.00000  -1.83442   1.36511  -0.66976  -0.13648   0.92013  -1.55142   1.92583  -1.98137   1.70884  -1.15336   0.40691   2.00000  -1.83442  -0.66976   0.92013   1.92583   1.70884   0.40691  -1.15336  -1.98137  -1.55142  -0.13648   1.36511  
+  22   2.00000  -1.83442   1.36511  -0.66976  -0.13648   0.92013  -1.55142   1.92583  -1.98137   1.70884  -1.15336   0.40691  -2.00000   1.83442   0.66976  -0.92013  -1.92583  -1.70884  -0.40691   1.15336   1.98137   1.55142   0.13648  -1.36511  
+  23   2.00000  -1.98137   1.92583  -1.83442   1.70884  -1.55142   1.36511  -1.15336   0.92013  -0.66976   0.40691  -0.13648   2.00000  -1.98137  -1.83442  -1.55142  -1.15336  -0.66976  -0.13648   0.40691   0.92013   1.36511   1.70884   1.92583  
+  24   2.00000  -1.98137   1.92583  -1.83442   1.70884  -1.55142   1.36511  -1.15336   0.92013  -0.66976   0.40691  -0.13648  -2.00000   1.98137   1.83442   1.55142   1.15336   0.66976   0.13648  -0.40691  -0.92013  -1.36511  -1.70884  -1.92583  
+

data/Symmetry/C23v

@@ -0,0 +1,34 @@
+Group	C23v 
+n	13
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C23       
+   3 	 E1         	 C23^2     
+   4 	 E2         	 C23^3     
+   5 	 E3         	 C23^4     
+   6 	 E4         	 C23^5     
+   7 	 E5         	 C23^6     
+   8 	 E6         	 C23^7     
+   9 	 E7         	 C23^8     
+  10 	 E8         	 C23^9     
+  11 	 E9         	 C23^10    
+  12 	 E10        	 C23^11    
+  13 	 E11        	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13     
+   1   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  
+   2   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  
+   3   2.00000   1.92583   1.70884   1.36511   0.92013   0.40691  -0.13648  -0.66976  -1.15336  -1.55142  -1.83442  -1.98137   0.00000  
+   4   2.00000   1.70884   0.92013  -0.13648  -1.15336  -1.83442  -1.98137  -1.55142  -0.66976   0.40691   1.36511   1.92583   0.00000  
+   5   2.00000   1.36511  -0.13648  -1.55142  -1.98137  -1.15336   0.40691   1.70884   1.92583   0.92013  -0.66976  -1.83442   0.00000  
+   6   2.00000   0.92013  -1.15336  -1.98137  -0.66976   1.36511   1.92583   0.40691  -1.55142  -1.83442  -0.13648   1.70884   0.00000  
+   7   2.00000   0.40691  -1.83442  -1.15336   1.36511   1.70884  -0.66976  -1.98137  -0.13648   1.92583   0.92013  -1.55142   0.00000  
+   8   2.00000  -0.13648  -1.98137   0.40691   1.92583  -0.66976  -1.83442   0.92013   1.70884  -1.15336  -1.55142   1.36511   0.00000  
+   9   2.00000  -0.66976  -1.55142   1.70884   0.40691  -1.98137   0.92013   1.36511  -1.83442  -0.13648   1.92583  -1.15336   0.00000  
+  10   2.00000  -1.15336  -0.66976   1.92583  -1.55142  -0.13648   1.70884  -1.83442   0.40691   1.36511  -1.98137   0.92013   0.00000  
+  11   2.00000  -1.55142   0.40691   0.92013  -1.83442   1.92583  -1.15336  -0.13648   1.36511  -1.98137   1.70884  -0.66976   0.00000  
+  12   2.00000  -1.83442   1.36511  -0.66976  -0.13648   0.92013  -1.55142   1.92583  -1.98137   1.70884  -1.15336   0.40691   0.00000  
+  13   2.00000  -1.98137   1.92583  -1.83442   1.70884  -1.55142   1.36511  -1.15336   0.92013  -0.66976   0.40691  -0.13648   0.00000  
+

data/Symmetry/C24

@@ -0,0 +1,34 @@
+Group	C24 
+n	13
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C24       
+   3 	 E1         	 C12       
+   4 	 E2         	 C8        
+   5 	 E3         	 C6        
+   6 	 E4         	 C24^5     
+   7 	 E5         	 C4        
+   8 	 E6         	 C24^7     
+   9 	 E7         	 C3        
+  10 	 E8         	 C8^3      
+  11 	 E9         	 C12^5     
+  12 	 E10        	 C24^11    
+  13 	 E11        	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13     
+   1   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  
+   2   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  
+   3   2.00000   1.93185   1.73205   1.41421   1.00000   0.51764   0.00000  -0.51764  -1.00000  -1.41421  -1.73205  -1.93185  -2.00000  
+   4   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000  
+   5   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  
+   6   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  
+   7   2.00000   0.51764  -1.73205  -1.41421   1.00000   1.93185   0.00000  -1.93185  -1.00000   1.41421   1.73205  -0.51764  -2.00000  
+   8   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  
+   9   2.00000  -0.51764  -1.73205   1.41421   1.00000  -1.93185   0.00000   1.93185  -1.00000  -1.41421   1.73205   0.51764  -2.00000  
+  10   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  
+  11   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000  
+  12   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  
+  13   2.00000  -1.93185   1.73205  -1.41421   1.00000  -0.51764   0.00000   0.51764  -1.00000   1.41421  -1.73205   1.93185  -2.00000  
+

data/Symmetry/C24h

@@ -0,0 +1,60 @@
+Group	C24h 
+n	26
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C24       
+   3 	 E1g        	 C12       
+   4 	 E2g        	 C8        
+   5 	 E3g        	 C6        
+   6 	 E4g        	 C24^5     
+   7 	 E5g        	 C4        
+   8 	 E6g        	 C24^7     
+   9 	 E7g        	 C3        
+  10 	 E8g        	 C8^3      
+  11 	 E9g        	 C12^5     
+  12 	 E10g       	 C24^11    
+  13 	 E11g       	 C2        
+  14 	 Au         	 i         
+  15 	 Bu         	 S24       
+  16 	 E1u        	 S12       
+  17 	 E2u        	 S8        
+  18 	 E3u        	 S6        
+  19 	 E4u        	 S24^5     
+  20 	 E5u        	 S4        
+  21 	 E6u        	 S24^7     
+  22 	 E7u        	 S3        
+  23 	 E8u        	 S8^3      
+  24 	 E9u        	 S12^5     
+  25 	 E10u       	 S24^11    
+  26 	 E11u       	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26     
+   1   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  
+   2   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  
+   3   2.00000   1.93185   1.73205   1.41421   1.00000   0.51764   0.00000  -0.51764  -1.00000  -1.41421  -1.73205  -1.93185  -2.00000   2.00000  -1.93185  -1.73205  -1.41421  -1.00000  -0.51764   0.00000   0.51764   1.00000   1.41421   1.73205   1.93185  -2.00000  
+   4   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000  
+   5   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000   2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421  -2.00000  
+   6   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   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  
+   7   2.00000   0.51764  -1.73205  -1.41421   1.00000   1.93185   0.00000  -1.93185  -1.00000   1.41421   1.73205  -0.51764  -2.00000   2.00000  -0.51764   1.73205   1.41421  -1.00000  -1.93185   0.00000   1.93185   1.00000  -1.41421  -1.73205   0.51764  -2.00000  
+   8   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  
+   9   2.00000  -0.51764  -1.73205   1.41421   1.00000  -1.93185   0.00000   1.93185  -1.00000  -1.41421   1.73205   0.51764  -2.00000   2.00000   0.51764   1.73205  -1.41421  -1.00000   1.93185   0.00000  -1.93185   1.00000   1.41421  -1.73205  -0.51764  -2.00000  
+  10   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   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  
+  11   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421  -2.00000  
+  12   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  
+  13   2.00000  -1.93185   1.73205  -1.41421   1.00000  -0.51764   0.00000   0.51764  -1.00000   1.41421  -1.73205   1.93185  -2.00000   2.00000   1.93185  -1.73205   1.41421  -1.00000   0.51764   0.00000  -0.51764   1.00000  -1.41421   1.73205  -1.93185  -2.00000  
+  14   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  
+  15   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  
+  16   2.00000   1.93185   1.73205   1.41421   1.00000   0.51764   0.00000  -0.51764  -1.00000  -1.41421  -1.73205  -1.93185  -2.00000  -2.00000   1.93185   1.73205   1.41421   1.00000   0.51764   0.00000  -0.51764  -1.00000  -1.41421  -1.73205  -1.93185   2.00000  
+  17   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  
+  18   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421   2.00000  
+  19   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  -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  
+  20   2.00000   0.51764  -1.73205  -1.41421   1.00000   1.93185   0.00000  -1.93185  -1.00000   1.41421   1.73205  -0.51764  -2.00000  -2.00000   0.51764  -1.73205  -1.41421   1.00000   1.93185   0.00000  -1.93185  -1.00000   1.41421   1.73205  -0.51764   2.00000  
+  21   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  
+  22   2.00000  -0.51764  -1.73205   1.41421   1.00000  -1.93185   0.00000   1.93185  -1.00000  -1.41421   1.73205   0.51764  -2.00000  -2.00000  -0.51764  -1.73205   1.41421   1.00000  -1.93185   0.00000   1.93185  -1.00000  -1.41421   1.73205   0.51764   2.00000  
+  23   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  -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  
+  24   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000  -2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421   2.00000  
+  25   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000  
+  26   2.00000  -1.93185   1.73205  -1.41421   1.00000  -0.51764   0.00000   0.51764  -1.00000   1.41421  -1.73205   1.93185  -2.00000  -2.00000  -1.93185   1.73205  -1.41421   1.00000  -0.51764   0.00000   0.51764  -1.00000   1.41421  -1.73205   1.93185   2.00000  
+

data/Symmetry/C24v

@@ -0,0 +1,38 @@
+Group	C24v 
+n	15
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C24       
+   3 	 B1         	 C12       
+   4 	 B2         	 C8        
+   5 	 E1         	 C6        
+   6 	 E2         	 C24^5     
+   7 	 E3         	 C4        
+   8 	 E4         	 C24^7     
+   9 	 E5         	 C3        
+  10 	 E6         	 C8^3      
+  11 	 E7         	 C12^5     
+  12 	 E8         	 C24^11    
+  13 	 E9         	 C2        
+  14 	 E10        	 sv        
+  15 	 E11        	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.93185   1.73205   1.41421   1.00000   0.51764   0.00000  -0.51764  -1.00000  -1.41421  -1.73205  -1.93185  -2.00000   0.00000   0.00000  
+   6   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   0.00000   0.00000  
+   7   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000   0.00000   0.00000  
+   8   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  
+   9   2.00000   0.51764  -1.73205  -1.41421   1.00000   1.93185   0.00000  -1.93185  -1.00000   1.41421   1.73205  -0.51764  -2.00000   0.00000   0.00000  
+  10   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000   0.00000  
+  11   2.00000  -0.51764  -1.73205   1.41421   1.00000  -1.93185   0.00000   1.93185  -1.00000  -1.41421   1.73205   0.51764  -2.00000   0.00000   0.00000  
+  12   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  
+  13   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   0.00000   0.00000  
+  14   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000   0.00000   0.00000  
+  15   2.00000  -1.93185   1.73205  -1.41421   1.00000  -0.51764   0.00000   0.51764  -1.00000   1.41421  -1.73205   1.93185  -2.00000   0.00000   0.00000  
+

data/Symmetry/C25

@@ -0,0 +1,34 @@
+Group	C25 
+n	13
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C25       
+   3 	 E2         	 C25^2     
+   4 	 E3         	 C25^3     
+   5 	 E4         	 C25^4     
+   6 	 E5         	 C5        
+   7 	 E6         	 C25^6     
+   8 	 E7         	 C25^7     
+   9 	 E8         	 C25^8     
+  10 	 E9         	 C25^9     
+  11 	 E10        	 C5^2      
+  12 	 E11        	 C25^11    
+  13 	 E12        	 C25^12    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13     
+   1   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  
+   2   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423  
+   3   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717  
+   4   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955  
+   5   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261  
+   6   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  
+   7   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794  
+   8   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485  
+   9   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165  
+  10   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156  
+  11   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  
+  12   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476  
+  13   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558  
+

data/Symmetry/C25h

@@ -0,0 +1,60 @@
+Group	C25h 
+n	26
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C25       
+   3 	 E1'        	 C25^2     
+   4 	 E1"        	 C25^3     
+   5 	 E2'        	 C25^4     
+   6 	 E2"        	 C5        
+   7 	 E3'        	 C25^6     
+   8 	 E3"        	 C25^7     
+   9 	 E4'        	 C25^8     
+  10 	 E4"        	 C25^9     
+  11 	 E5'        	 C5^2      
+  12 	 E5"        	 C25^11    
+  13 	 E6'        	 C25^12    
+  14 	 E6"        	 sh        
+  15 	 E7'        	 S25       
+  16 	 E7"        	 S25^3     
+  17 	 E8'        	 S5        
+  18 	 E8"        	 S25^7     
+  19 	 E9'        	 S25^9     
+  20 	 E9"        	 S25^11    
+  21 	 E10'       	 S25^13    
+  22 	 E10"       	 S5^3      
+  23 	 E11'       	 S25^17    
+  24 	 E11"       	 S25^19    
+  25 	 E12'       	 S25^21    
+  26 	 E12"       	 S25^23    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26     
+   1   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  
+   2   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  
+   3   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423   2.00000   1.93717   1.45794   0.61803  -0.37476  -1.27485  -1.85955  -1.98423  -1.61803  -0.85156   0.12558   1.07165   1.75261  
+   4   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423  -2.00000  -1.93717  -1.45794  -0.61803   0.37476   1.27485   1.85955   1.98423   1.61803   0.85156  -0.12558  -1.07165  -1.75261  
+   5   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   2.00000   1.75261   0.12558  -1.61803  -1.85955  -0.37476   1.45794   1.93717   0.61803  -1.27485  -1.98423  -0.85156   1.07165  
+   6   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717  -2.00000  -1.75261  -0.12558   1.61803   1.85955   0.37476  -1.45794  -1.93717  -0.61803   1.27485   1.98423   0.85156  -1.07165  
+   7   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955   2.00000   1.45794  -1.27485  -1.61803   1.07165   1.75261  -0.85156  -1.85955   0.61803   1.93717  -0.37476  -1.98423   0.12558  
+   8   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955  -2.00000  -1.45794   1.27485   1.61803  -1.07165  -1.75261   0.85156   1.85955  -0.61803  -1.93717   0.37476   1.98423  -0.12558  
+   9   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   2.00000   1.07165  -1.98423   0.61803   1.45794  -1.85955   0.12558   1.75261  -1.61803  -0.37476   1.93717  -1.27485  -0.85156  
+  10   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261  -2.00000  -1.07165   1.98423  -0.61803  -1.45794   1.85955  -0.12558  -1.75261   1.61803   0.37476  -1.93717   1.27485   0.85156  
+  11   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   2.00000   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803  
+  12   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  -2.00000  -0.61803   1.61803  -2.00000   1.61803  -0.61803  -0.61803   1.61803  -2.00000   1.61803  -0.61803  -0.61803   1.61803  
+  13   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   2.00000   0.12558  -0.37476   0.61803  -0.85156   1.07165  -1.27485   1.45794  -1.61803   1.75261  -1.85955   1.93717  -1.98423  
+  14   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794  -2.00000  -0.12558   0.37476  -0.61803   0.85156  -1.07165   1.27485  -1.45794   1.61803  -1.75261   1.85955  -1.93717   1.98423  
+  15   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485   2.00000  -0.37476   1.07165  -1.61803   1.93717  -1.98423   1.75261  -1.27485   0.61803   0.12558  -0.85156   1.45794  -1.85955  
+  16   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485  -2.00000   0.37476  -1.07165   1.61803  -1.93717   1.98423  -1.75261   1.27485  -0.61803  -0.12558   0.85156  -1.45794   1.85955  
+  17   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   2.00000  -0.85156   1.93717  -1.61803   0.12558   1.45794  -1.98423   1.07165   0.61803  -1.85955   1.75261  -0.37476  -1.27485  
+  18   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165  -2.00000   0.85156  -1.93717   1.61803  -0.12558  -1.45794   1.98423  -1.07165  -0.61803   1.85955  -1.75261   0.37476   1.27485  
+  19   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156   2.00000  -1.27485   1.75261   0.61803  -1.98423   0.12558   1.93717  -0.85156  -1.61803   1.45794   1.07165  -1.85955  -0.37476  
+  20   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156  -2.00000   1.27485  -1.75261  -0.61803   1.98423  -0.12558  -1.93717   0.85156   1.61803  -1.45794  -1.07165   1.85955   0.37476  
+  21   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   2.00000  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803  
+  22   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  -2.00000   1.61803  -0.61803  -2.00000  -0.61803   1.61803   1.61803  -0.61803  -2.00000  -0.61803   1.61803   1.61803  -0.61803  
+  23   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476   2.00000  -1.85955  -0.85156   0.61803   1.75261   1.93717   1.07165  -0.37476  -1.61803  -1.98423  -1.27485   0.12558   1.45794  
+  24   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476  -2.00000   1.85955   0.85156  -0.61803  -1.75261  -1.93717  -1.07165   0.37476   1.61803   1.98423   1.27485  -0.12558  -1.45794  
+  25   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   2.00000  -1.98423  -1.85955  -1.61803  -1.27485  -0.85156  -0.37476   0.12558   0.61803   1.07165   1.45794   1.75261   1.93717  
+  26   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558  -2.00000   1.98423   1.85955   1.61803   1.27485   0.85156   0.37476  -0.12558  -0.61803  -1.07165  -1.45794  -1.75261  -1.93717  
+

data/Symmetry/C25v

@@ -0,0 +1,36 @@
+Group	C25v 
+n	14
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C25       
+   3 	 E1         	 C25^2     
+   4 	 E2         	 C25^3     
+   5 	 E3         	 C25^4     
+   6 	 E4         	 C5        
+   7 	 E5         	 C25^6     
+   8 	 E6         	 C25^7     
+   9 	 E7         	 C25^8     
+  10 	 E8         	 C25^9     
+  11 	 E9         	 C5^2      
+  12 	 E10        	 C25^11    
+  13 	 E11        	 C25^12    
+  14 	 E12        	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14     
+   1   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  
+   2   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  
+   3   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423   0.00000  
+   4   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   0.00000  
+   5   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955   0.00000  
+   6   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   0.00000  
+   7   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   0.00000  
+   8   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   0.00000  
+   9   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485   0.00000  
+  10   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   0.00000  
+  11   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156   0.00000  
+  12   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   0.00000  
+  13   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476   0.00000  
+  14   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   0.00000  
+

data/Symmetry/C26

@@ -0,0 +1,36 @@
+Group	C26 
+n	14
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C26       
+   3 	 E1         	 C13       
+   4 	 E2         	 C26^3     
+   5 	 E3         	 C13^2     
+   6 	 E4         	 C26^5     
+   7 	 E5         	 C13^3     
+   8 	 E6         	 C26^7     
+   9 	 E7         	 C13^4     
+  10 	 E8         	 C26^9     
+  11 	 E9         	 C13^5     
+  12 	 E10        	 C26^11    
+  13 	 E11        	 C13^6     
+  14 	 E12        	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14     
+   1   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  
+   2   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  
+   3   2.00000   1.94188   1.77091   1.49702   1.13613   0.70921   0.24107  -0.24107  -0.70921  -1.13613  -1.49702  -1.77091  -1.94188  -2.00000  
+   4   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188  -1.94188  -1.49702  -0.70921   0.24107   1.13613   1.77091   2.00000  
+   5   2.00000   1.49702   0.24107  -1.13613  -1.94188  -1.77091  -0.70921   0.70921   1.77091   1.94188   1.13613  -0.24107  -1.49702  -2.00000  
+   6   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091   1.77091   0.24107  -1.49702  -1.94188  -0.70921   1.13613   2.00000  
+   7   2.00000   0.70921  -1.49702  -1.77091   0.24107   1.94188   1.13613  -1.13613  -1.94188  -0.24107   1.77091   1.49702  -0.70921  -2.00000  
+   8   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702  -1.49702   1.13613   1.77091  -0.70921  -1.94188   0.24107   2.00000  
+   9   2.00000  -0.24107  -1.94188   0.70921   1.77091  -1.13613  -1.49702   1.49702   1.13613  -1.77091  -0.70921   1.94188   0.24107  -2.00000  
+  10   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613   1.13613  -1.94188   0.24107   1.77091  -1.49702  -0.70921   2.00000  
+  11   2.00000  -1.13613  -0.70921   1.94188  -1.49702  -0.24107   1.77091  -1.77091   0.24107   1.49702  -1.94188   0.70921   1.13613  -2.00000  
+  12   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921  -0.70921   1.77091  -1.94188   1.13613   0.24107  -1.49702   2.00000  
+  13   2.00000  -1.77091   1.13613  -0.24107  -0.70921   1.49702  -1.94188   1.94188  -1.49702   0.70921   0.24107  -1.13613   1.77091  -2.00000  
+  14   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107   0.24107  -0.70921   1.13613  -1.49702   1.77091  -1.94188   2.00000  
+

data/Symmetry/C26h

@@ -0,0 +1,64 @@
+Group	C26h 
+n	28
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C26       
+   3 	 E1g        	 C13       
+   4 	 E2g        	 C26^3     
+   5 	 E3g        	 C13^2     
+   6 	 E4g        	 C26^5     
+   7 	 E5g        	 C13^3     
+   8 	 E6g        	 C26^7     
+   9 	 E7g        	 C13^4     
+  10 	 E8g        	 C26^9     
+  11 	 E9g        	 C13^5     
+  12 	 E10g       	 C26^11    
+  13 	 E11g       	 C13^6     
+  14 	 E12g       	 C2        
+  15 	 Au         	 i         
+  16 	 Bu         	 S26       
+  17 	 E1u        	 S13       
+  18 	 E2u        	 S26^3     
+  19 	 E3u        	 S13^2     
+  20 	 E4u        	 S26^5     
+  21 	 E5u        	 S13^3     
+  22 	 E6u        	 S26^7     
+  23 	 E7u        	 S13^4     
+  24 	 E8u        	 S26^9     
+  25 	 E9u        	 S13^5     
+  26 	 E10u       	 S26^11    
+  27 	 E11u       	 S13^6     
+  28 	 E12u       	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28     
+   1   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  
+   2   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  
+   3   2.00000   1.94188   1.77091   1.49702   1.13613   0.70921   0.24107  -0.24107  -0.70921  -1.13613  -1.49702  -1.77091  -1.94188  -2.00000   2.00000  -1.94188  -1.77091  -1.49702  -1.13613  -0.70921  -0.24107   0.24107   0.70921   1.13613   1.49702   1.77091   1.94188  -2.00000  
+   4   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188  -1.94188  -1.49702  -0.70921   0.24107   1.13613   1.77091   2.00000   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188  -1.94188  -1.49702  -0.70921   0.24107   1.13613   1.77091   2.00000  
+   5   2.00000   1.49702   0.24107  -1.13613  -1.94188  -1.77091  -0.70921   0.70921   1.77091   1.94188   1.13613  -0.24107  -1.49702  -2.00000   2.00000  -1.49702  -0.24107   1.13613   1.94188   1.77091   0.70921  -0.70921  -1.77091  -1.94188  -1.13613   0.24107   1.49702  -2.00000  
+   6   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091   1.77091   0.24107  -1.49702  -1.94188  -0.70921   1.13613   2.00000   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091   1.77091   0.24107  -1.49702  -1.94188  -0.70921   1.13613   2.00000  
+   7   2.00000   0.70921  -1.49702  -1.77091   0.24107   1.94188   1.13613  -1.13613  -1.94188  -0.24107   1.77091   1.49702  -0.70921  -2.00000   2.00000  -0.70921   1.49702   1.77091  -0.24107  -1.94188  -1.13613   1.13613   1.94188   0.24107  -1.77091  -1.49702   0.70921  -2.00000  
+   8   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702  -1.49702   1.13613   1.77091  -0.70921  -1.94188   0.24107   2.00000   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702  -1.49702   1.13613   1.77091  -0.70921  -1.94188   0.24107   2.00000  
+   9   2.00000  -0.24107  -1.94188   0.70921   1.77091  -1.13613  -1.49702   1.49702   1.13613  -1.77091  -0.70921   1.94188   0.24107  -2.00000   2.00000   0.24107   1.94188  -0.70921  -1.77091   1.13613   1.49702  -1.49702  -1.13613   1.77091   0.70921  -1.94188  -0.24107  -2.00000  
+  10   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613   1.13613  -1.94188   0.24107   1.77091  -1.49702  -0.70921   2.00000   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613   1.13613  -1.94188   0.24107   1.77091  -1.49702  -0.70921   2.00000  
+  11   2.00000  -1.13613  -0.70921   1.94188  -1.49702  -0.24107   1.77091  -1.77091   0.24107   1.49702  -1.94188   0.70921   1.13613  -2.00000   2.00000   1.13613   0.70921  -1.94188   1.49702   0.24107  -1.77091   1.77091  -0.24107  -1.49702   1.94188  -0.70921  -1.13613  -2.00000  
+  12   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921  -0.70921   1.77091  -1.94188   1.13613   0.24107  -1.49702   2.00000   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921  -0.70921   1.77091  -1.94188   1.13613   0.24107  -1.49702   2.00000  
+  13   2.00000  -1.77091   1.13613  -0.24107  -0.70921   1.49702  -1.94188   1.94188  -1.49702   0.70921   0.24107  -1.13613   1.77091  -2.00000   2.00000   1.77091  -1.13613   0.24107   0.70921  -1.49702   1.94188  -1.94188   1.49702  -0.70921  -0.24107   1.13613  -1.77091  -2.00000  
+  14   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107   0.24107  -0.70921   1.13613  -1.49702   1.77091  -1.94188   2.00000   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107   0.24107  -0.70921   1.13613  -1.49702   1.77091  -1.94188   2.00000  
+  15   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  
+  16   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  
+  17   2.00000   1.94188   1.77091   1.49702   1.13613   0.70921   0.24107  -0.24107  -0.70921  -1.13613  -1.49702  -1.77091  -1.94188  -2.00000  -2.00000   1.94188   1.77091   1.49702   1.13613   0.70921   0.24107  -0.24107  -0.70921  -1.13613  -1.49702  -1.77091  -1.94188   2.00000  
+  18   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188  -1.94188  -1.49702  -0.70921   0.24107   1.13613   1.77091   2.00000  -2.00000  -1.77091  -1.13613  -0.24107   0.70921   1.49702   1.94188   1.94188   1.49702   0.70921  -0.24107  -1.13613  -1.77091  -2.00000  
+  19   2.00000   1.49702   0.24107  -1.13613  -1.94188  -1.77091  -0.70921   0.70921   1.77091   1.94188   1.13613  -0.24107  -1.49702  -2.00000  -2.00000   1.49702   0.24107  -1.13613  -1.94188  -1.77091  -0.70921   0.70921   1.77091   1.94188   1.13613  -0.24107  -1.49702   2.00000  
+  20   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091   1.77091   0.24107  -1.49702  -1.94188  -0.70921   1.13613   2.00000  -2.00000  -1.13613   0.70921   1.94188   1.49702  -0.24107  -1.77091  -1.77091  -0.24107   1.49702   1.94188   0.70921  -1.13613  -2.00000  
+  21   2.00000   0.70921  -1.49702  -1.77091   0.24107   1.94188   1.13613  -1.13613  -1.94188  -0.24107   1.77091   1.49702  -0.70921  -2.00000  -2.00000   0.70921  -1.49702  -1.77091   0.24107   1.94188   1.13613  -1.13613  -1.94188  -0.24107   1.77091   1.49702  -0.70921   2.00000  
+  22   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702  -1.49702   1.13613   1.77091  -0.70921  -1.94188   0.24107   2.00000  -2.00000  -0.24107   1.94188   0.70921  -1.77091  -1.13613   1.49702   1.49702  -1.13613  -1.77091   0.70921   1.94188  -0.24107  -2.00000  
+  23   2.00000  -0.24107  -1.94188   0.70921   1.77091  -1.13613  -1.49702   1.49702   1.13613  -1.77091  -0.70921   1.94188   0.24107  -2.00000  -2.00000  -0.24107  -1.94188   0.70921   1.77091  -1.13613  -1.49702   1.49702   1.13613  -1.77091  -0.70921   1.94188   0.24107   2.00000  
+  24   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613   1.13613  -1.94188   0.24107   1.77091  -1.49702  -0.70921   2.00000  -2.00000   0.70921   1.49702  -1.77091  -0.24107   1.94188  -1.13613  -1.13613   1.94188  -0.24107  -1.77091   1.49702   0.70921  -2.00000  
+  25   2.00000  -1.13613  -0.70921   1.94188  -1.49702  -0.24107   1.77091  -1.77091   0.24107   1.49702  -1.94188   0.70921   1.13613  -2.00000  -2.00000  -1.13613  -0.70921   1.94188  -1.49702  -0.24107   1.77091  -1.77091   0.24107   1.49702  -1.94188   0.70921   1.13613   2.00000  
+  26   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921  -0.70921   1.77091  -1.94188   1.13613   0.24107  -1.49702   2.00000  -2.00000   1.49702  -0.24107  -1.13613   1.94188  -1.77091   0.70921   0.70921  -1.77091   1.94188  -1.13613  -0.24107   1.49702  -2.00000  
+  27   2.00000  -1.77091   1.13613  -0.24107  -0.70921   1.49702  -1.94188   1.94188  -1.49702   0.70921   0.24107  -1.13613   1.77091  -2.00000  -2.00000  -1.77091   1.13613  -0.24107  -0.70921   1.49702  -1.94188   1.94188  -1.49702   0.70921   0.24107  -1.13613   1.77091   2.00000  
+  28   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107   0.24107  -0.70921   1.13613  -1.49702   1.77091  -1.94188   2.00000  -2.00000   1.94188  -1.77091   1.49702  -1.13613   0.70921  -0.24107  -0.24107   0.70921  -1.13613   1.49702  -1.77091   1.94188  -2.00000  
+

data/Symmetry/C26v

@@ -0,0 +1,40 @@
+Group	C26v 
+n	16
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C26       
+   3 	 B1         	 C13       
+   4 	 B2         	 C26^3     
+   5 	 E1         	 C13^2     
+   6 	 E2         	 C26^5     
+   7 	 E3         	 C13^3     
+   8 	 E4         	 C26^7     
+   9 	 E5         	 C13^4     
+  10 	 E6         	 C26^9     
+  11 	 E7         	 C13^5     
+  12 	 E8         	 C26^11    
+  13 	 E9         	 C13^6     
+  14 	 E10        	 C2        
+  15 	 E11        	 sv        
+  16 	 E12        	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.94188   1.77091   1.49702   1.13613   0.70921   0.24107  -0.24107  -0.70921  -1.13613  -1.49702  -1.77091  -1.94188  -2.00000   0.00000   0.00000  
+   6   2.00000   1.77091   1.13613   0.24107  -0.70921  -1.49702  -1.94188  -1.94188  -1.49702  -0.70921   0.24107   1.13613   1.77091   2.00000   0.00000   0.00000  
+   7   2.00000   1.49702   0.24107  -1.13613  -1.94188  -1.77091  -0.70921   0.70921   1.77091   1.94188   1.13613  -0.24107  -1.49702  -2.00000   0.00000   0.00000  
+   8   2.00000   1.13613  -0.70921  -1.94188  -1.49702   0.24107   1.77091   1.77091   0.24107  -1.49702  -1.94188  -0.70921   1.13613   2.00000   0.00000   0.00000  
+   9   2.00000   0.70921  -1.49702  -1.77091   0.24107   1.94188   1.13613  -1.13613  -1.94188  -0.24107   1.77091   1.49702  -0.70921  -2.00000   0.00000   0.00000  
+  10   2.00000   0.24107  -1.94188  -0.70921   1.77091   1.13613  -1.49702  -1.49702   1.13613   1.77091  -0.70921  -1.94188   0.24107   2.00000   0.00000   0.00000  
+  11   2.00000  -0.24107  -1.94188   0.70921   1.77091  -1.13613  -1.49702   1.49702   1.13613  -1.77091  -0.70921   1.94188   0.24107  -2.00000   0.00000   0.00000  
+  12   2.00000  -0.70921  -1.49702   1.77091   0.24107  -1.94188   1.13613   1.13613  -1.94188   0.24107   1.77091  -1.49702  -0.70921   2.00000   0.00000   0.00000  
+  13   2.00000  -1.13613  -0.70921   1.94188  -1.49702  -0.24107   1.77091  -1.77091   0.24107   1.49702  -1.94188   0.70921   1.13613  -2.00000   0.00000   0.00000  
+  14   2.00000  -1.49702   0.24107   1.13613  -1.94188   1.77091  -0.70921  -0.70921   1.77091  -1.94188   1.13613   0.24107  -1.49702   2.00000   0.00000   0.00000  
+  15   2.00000  -1.77091   1.13613  -0.24107  -0.70921   1.49702  -1.94188   1.94188  -1.49702   0.70921   0.24107  -1.13613   1.77091  -2.00000   0.00000   0.00000  
+  16   2.00000  -1.94188   1.77091  -1.49702   1.13613  -0.70921   0.24107   0.24107  -0.70921   1.13613  -1.49702   1.77091  -1.94188   2.00000   0.00000   0.00000  
+

data/Symmetry/C27

@@ -0,0 +1,36 @@
+Group	C27 
+n	14
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C27       
+   3 	 E2         	 C27^2     
+   4 	 E3         	 C9        
+   5 	 E4         	 C27^4     
+   6 	 E5         	 C27^5     
+   7 	 E6         	 C9^2      
+   8 	 E7         	 C27^7     
+   9 	 E8         	 C27^8     
+  10 	 E9         	 C3        
+  11 	 E10        	 C27^10    
+  12 	 E11        	 C27^11    
+  13 	 E12        	 C9^4      
+  14 	 E13        	 C27^13    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14     
+   1   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  
+   2   2.00000   1.94609   1.78727   1.53209   1.19432   0.79216   0.34730  -0.11629  -0.57361  -1.00000  -1.37248  -1.67098  -1.87939  -1.98648  
+   3   2.00000   1.78727   1.19432   0.34730  -0.57361  -1.37248  -1.87939  -1.98648  -1.67098  -1.00000  -0.11629   0.79216   1.53209   1.94609  
+   4   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  
+   5   2.00000   1.19432  -0.57361  -1.87939  -1.67098  -0.11629   1.53209   1.94609   0.79216  -1.00000  -1.98648  -1.37248   0.34730   1.78727  
+   6   2.00000   0.79216  -1.37248  -1.87939  -0.11629   1.78727   1.53209  -0.57361  -1.98648  -1.00000   1.19432   1.94609   0.34730  -1.67098  
+   7   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209  
+   8   2.00000  -0.11629  -1.98648   0.34730   1.94609  -0.57361  -1.87939   0.79216   1.78727  -1.00000  -1.67098   1.19432   1.53209  -1.37248  
+   9   2.00000  -0.57361  -1.67098   1.53209   0.79216  -1.98648   0.34730   1.78727  -1.37248  -1.00000   1.94609  -0.11629  -1.87939   1.19432  
+  10   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  
+  11   2.00000  -1.37248  -0.11629   1.53209  -1.98648   1.19432   0.34730  -1.67098   1.94609  -1.00000  -0.57361   1.78727  -1.87939   0.79216  
+  12   2.00000  -1.67098   0.79216   0.34730  -1.37248   1.94609  -1.87939   1.19432  -0.11629  -1.00000   1.78727  -1.98648   1.53209  -0.57361  
+  13   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730  
+  14   2.00000  -1.98648   1.94609  -1.87939   1.78727  -1.67098   1.53209  -1.37248   1.19432  -1.00000   0.79216  -0.57361   0.34730  -0.11629  
+

data/Symmetry/C27h

@@ -0,0 +1,64 @@
+Group	C27h 
+n	28
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C27       
+   3 	 E1'        	 C27^2     
+   4 	 E1"        	 C9        
+   5 	 E2'        	 C27^4     
+   6 	 E2"        	 C27^5     
+   7 	 E3'        	 C9^2      
+   8 	 E3"        	 C27^7     
+   9 	 E4'        	 C27^8     
+  10 	 E4"        	 C3        
+  11 	 E5'        	 C27^10    
+  12 	 E5"        	 C27^11    
+  13 	 E6'        	 C9^4      
+  14 	 E6"        	 C27^13    
+  15 	 E7'        	 sh        
+  16 	 E7"        	 S27       
+  17 	 E8'        	 S9        
+  18 	 E8"        	 S27^5     
+  19 	 E9'        	 S27^7     
+  20 	 E9"        	 S3        
+  21 	 E10'       	 S27^11    
+  22 	 E10"       	 S27^13    
+  23 	 E11'       	 S9^5      
+  24 	 E11"       	 S27^17    
+  25 	 E12'       	 S27^19    
+  26 	 E12"       	 S9^7      
+  27 	 E13'       	 S27^23    
+  28 	 E13"       	 S27^25    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28     
+   1   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  
+   2   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  
+   3   2.00000   1.94609   1.78727   1.53209   1.19432   0.79216   0.34730  -0.11629  -0.57361  -1.00000  -1.37248  -1.67098  -1.87939  -1.98648   2.00000   1.94609   1.53209   0.79216  -0.11629  -1.00000  -1.67098  -1.98648  -1.87939  -1.37248  -0.57361   0.34730   1.19432   1.78727  
+   4   2.00000   1.94609   1.78727   1.53209   1.19432   0.79216   0.34730  -0.11629  -0.57361  -1.00000  -1.37248  -1.67098  -1.87939  -1.98648  -2.00000  -1.94609  -1.53209  -0.79216   0.11629   1.00000   1.67098   1.98648   1.87939   1.37248   0.57361  -0.34730  -1.19432  -1.78727  
+   5   2.00000   1.78727   1.19432   0.34730  -0.57361  -1.37248  -1.87939  -1.98648  -1.67098  -1.00000  -0.11629   0.79216   1.53209   1.94609   2.00000   1.78727   0.34730  -1.37248  -1.98648  -1.00000   0.79216   1.94609   1.53209  -0.11629  -1.67098  -1.87939  -0.57361   1.19432  
+   6   2.00000   1.78727   1.19432   0.34730  -0.57361  -1.37248  -1.87939  -1.98648  -1.67098  -1.00000  -0.11629   0.79216   1.53209   1.94609  -2.00000  -1.78727  -0.34730   1.37248   1.98648   1.00000  -0.79216  -1.94609  -1.53209   0.11629   1.67098   1.87939   0.57361  -1.19432  
+   7   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939   2.00000   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730  
+   8   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -2.00000  -1.53209   1.00000   1.87939  -0.34730  -2.00000  -0.34730   1.87939   1.00000  -1.53209  -1.53209   1.00000   1.87939  -0.34730  
+   9   2.00000   1.19432  -0.57361  -1.87939  -1.67098  -0.11629   1.53209   1.94609   0.79216  -1.00000  -1.98648  -1.37248   0.34730   1.78727   2.00000   1.19432  -1.87939  -0.11629   1.94609  -1.00000  -1.37248   1.78727   0.34730  -1.98648   0.79216   1.53209  -1.67098  -0.57361  
+  10   2.00000   1.19432  -0.57361  -1.87939  -1.67098  -0.11629   1.53209   1.94609   0.79216  -1.00000  -1.98648  -1.37248   0.34730   1.78727  -2.00000  -1.19432   1.87939   0.11629  -1.94609   1.00000   1.37248  -1.78727  -0.34730   1.98648  -0.79216  -1.53209   1.67098   0.57361  
+  11   2.00000   0.79216  -1.37248  -1.87939  -0.11629   1.78727   1.53209  -0.57361  -1.98648  -1.00000   1.19432   1.94609   0.34730  -1.67098   2.00000   0.79216  -1.87939   1.78727  -0.57361  -1.00000   1.94609  -1.67098   0.34730   1.19432  -1.98648   1.53209  -0.11629  -1.37248  
+  12   2.00000   0.79216  -1.37248  -1.87939  -0.11629   1.78727   1.53209  -0.57361  -1.98648  -1.00000   1.19432   1.94609   0.34730  -1.67098  -2.00000  -0.79216   1.87939  -1.78727   0.57361   1.00000  -1.94609   1.67098  -0.34730  -1.19432   1.98648  -1.53209   0.11629   1.37248  
+  13   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   2.00000   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939  
+  14   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209  -2.00000  -0.34730   1.00000  -1.53209   1.87939  -2.00000   1.87939  -1.53209   1.00000  -0.34730  -0.34730   1.00000  -1.53209   1.87939  
+  15   2.00000  -0.11629  -1.98648   0.34730   1.94609  -0.57361  -1.87939   0.79216   1.78727  -1.00000  -1.67098   1.19432   1.53209  -1.37248   2.00000  -0.11629   0.34730  -0.57361   0.79216  -1.00000   1.19432  -1.37248   1.53209  -1.67098   1.78727  -1.87939   1.94609  -1.98648  
+  16   2.00000  -0.11629  -1.98648   0.34730   1.94609  -0.57361  -1.87939   0.79216   1.78727  -1.00000  -1.67098   1.19432   1.53209  -1.37248  -2.00000   0.11629  -0.34730   0.57361  -0.79216   1.00000  -1.19432   1.37248  -1.53209   1.67098  -1.78727   1.87939  -1.94609   1.98648  
+  17   2.00000  -0.57361  -1.67098   1.53209   0.79216  -1.98648   0.34730   1.78727  -1.37248  -1.00000   1.94609  -0.11629  -1.87939   1.19432   2.00000  -0.57361   1.53209  -1.98648   1.78727  -1.00000  -0.11629   1.19432  -1.87939   1.94609  -1.37248   0.34730   0.79216  -1.67098  
+  18   2.00000  -0.57361  -1.67098   1.53209   0.79216  -1.98648   0.34730   1.78727  -1.37248  -1.00000   1.94609  -0.11629  -1.87939   1.19432  -2.00000   0.57361  -1.53209   1.98648  -1.78727   1.00000   0.11629  -1.19432   1.87939  -1.94609   1.37248  -0.34730  -0.79216   1.67098  
+  19   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   2.00000  -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  
+  20   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  -2.00000   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  
+  21   2.00000  -1.37248  -0.11629   1.53209  -1.98648   1.19432   0.34730  -1.67098   1.94609  -1.00000  -0.57361   1.78727  -1.87939   0.79216   2.00000  -1.37248   1.53209   1.19432  -1.67098  -1.00000   1.78727   0.79216  -1.87939  -0.57361   1.94609   0.34730  -1.98648  -0.11629  
+  22   2.00000  -1.37248  -0.11629   1.53209  -1.98648   1.19432   0.34730  -1.67098   1.94609  -1.00000  -0.57361   1.78727  -1.87939   0.79216  -2.00000   1.37248  -1.53209  -1.19432   1.67098   1.00000  -1.78727  -0.79216   1.87939   0.57361  -1.94609  -0.34730   1.98648   0.11629  
+  23   2.00000  -1.67098   0.79216   0.34730  -1.37248   1.94609  -1.87939   1.19432  -0.11629  -1.00000   1.78727  -1.98648   1.53209  -0.57361   2.00000  -1.67098   0.34730   1.94609   1.19432  -1.00000  -1.98648  -0.57361   1.53209   1.78727  -0.11629  -1.87939  -1.37248   0.79216  
+  24   2.00000  -1.67098   0.79216   0.34730  -1.37248   1.94609  -1.87939   1.19432  -0.11629  -1.00000   1.78727  -1.98648   1.53209  -0.57361  -2.00000   1.67098  -0.34730  -1.94609  -1.19432   1.00000   1.98648   0.57361  -1.53209  -1.78727   0.11629   1.87939   1.37248  -0.79216  
+  25   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   2.00000  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209  
+  26   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730  -2.00000   1.87939   1.00000  -0.34730  -1.53209  -2.00000  -1.53209  -0.34730   1.00000   1.87939   1.87939   1.00000  -0.34730  -1.53209  
+  27   2.00000  -1.98648   1.94609  -1.87939   1.78727  -1.67098   1.53209  -1.37248   1.19432  -1.00000   0.79216  -0.57361   0.34730  -0.11629   2.00000  -1.98648  -1.87939  -1.67098  -1.37248  -1.00000  -0.57361  -0.11629   0.34730   0.79216   1.19432   1.53209   1.78727   1.94609  
+  28   2.00000  -1.98648   1.94609  -1.87939   1.78727  -1.67098   1.53209  -1.37248   1.19432  -1.00000   0.79216  -0.57361   0.34730  -0.11629  -2.00000   1.98648   1.87939   1.67098   1.37248   1.00000   0.57361   0.11629  -0.34730  -0.79216  -1.19432  -1.53209  -1.78727  -1.94609  
+

data/Symmetry/C27v

@@ -0,0 +1,38 @@
+Group	C27v 
+n	15
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C27       
+   3 	 E1         	 C27^2     
+   4 	 E2         	 C9        
+   5 	 E3         	 C27^4     
+   6 	 E4         	 C27^5     
+   7 	 E5         	 C9^2      
+   8 	 E6         	 C27^7     
+   9 	 E7         	 C27^8     
+  10 	 E8         	 C3        
+  11 	 E9         	 C27^10    
+  12 	 E10        	 C27^11    
+  13 	 E11        	 C9^4      
+  14 	 E12        	 C27^13    
+  15 	 E13        	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15     
+   1   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  
+   2   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  
+   3   2.00000   1.94609   1.78727   1.53209   1.19432   0.79216   0.34730  -0.11629  -0.57361  -1.00000  -1.37248  -1.67098  -1.87939  -1.98648   0.00000  
+   4   2.00000   1.78727   1.19432   0.34730  -0.57361  -1.37248  -1.87939  -1.98648  -1.67098  -1.00000  -0.11629   0.79216   1.53209   1.94609   0.00000  
+   5   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939   0.00000  
+   6   2.00000   1.19432  -0.57361  -1.87939  -1.67098  -0.11629   1.53209   1.94609   0.79216  -1.00000  -1.98648  -1.37248   0.34730   1.78727   0.00000  
+   7   2.00000   0.79216  -1.37248  -1.87939  -0.11629   1.78727   1.53209  -0.57361  -1.98648  -1.00000   1.19432   1.94609   0.34730  -1.67098   0.00000  
+   8   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   0.00000  
+   9   2.00000  -0.11629  -1.98648   0.34730   1.94609  -0.57361  -1.87939   0.79216   1.78727  -1.00000  -1.67098   1.19432   1.53209  -1.37248   0.00000  
+  10   2.00000  -0.57361  -1.67098   1.53209   0.79216  -1.98648   0.34730   1.78727  -1.37248  -1.00000   1.94609  -0.11629  -1.87939   1.19432   0.00000  
+  11   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   0.00000  
+  12   2.00000  -1.37248  -0.11629   1.53209  -1.98648   1.19432   0.34730  -1.67098   1.94609  -1.00000  -0.57361   1.78727  -1.87939   0.79216   0.00000  
+  13   2.00000  -1.67098   0.79216   0.34730  -1.37248   1.94609  -1.87939   1.19432  -0.11629  -1.00000   1.78727  -1.98648   1.53209  -0.57361   0.00000  
+  14   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.00000  
+  15   2.00000  -1.98648   1.94609  -1.87939   1.78727  -1.67098   1.53209  -1.37248   1.19432  -1.00000   0.79216  -0.57361   0.34730  -0.11629   0.00000  
+

data/Symmetry/C28

@@ -0,0 +1,38 @@
+Group	C28 
+n	15
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C28       
+   3 	 E1         	 C14       
+   4 	 E2         	 C28^3     
+   5 	 E3         	 C7        
+   6 	 E4         	 C28^5     
+   7 	 E5         	 C14^3     
+   8 	 E6         	 C4        
+   9 	 E7         	 C7^2      
+  10 	 E8         	 C28^9     
+  11 	 E9         	 C14^5     
+  12 	 E10        	 C28^11    
+  13 	 E11        	 C7^3      
+  14 	 E12        	 C28^13    
+  15 	 E13        	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15     
+   1   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  
+   2   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  
+   3   2.00000   1.94986   1.80194   1.56366   1.24698   0.86777   0.44504   0.00000  -0.44504  -0.86777  -1.24698  -1.56366  -1.80194  -1.94986  -2.00000  
+   4   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000  
+   5   2.00000   1.56366   0.44504  -0.86777  -1.80194  -1.94986  -1.24698   0.00000   1.24698   1.94986   1.80194   0.86777  -0.44504  -1.56366  -2.00000  
+   6   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000  
+   7   2.00000   0.86777  -1.24698  -1.94986  -0.44504   1.56366   1.80194   0.00000  -1.80194  -1.56366   0.44504   1.94986   1.24698  -0.86777  -2.00000  
+   8   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000  
+   9   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  
+  10   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  
+  11   2.00000  -0.86777  -1.24698   1.94986  -0.44504  -1.56366   1.80194   0.00000  -1.80194   1.56366   0.44504  -1.94986   1.24698   0.86777  -2.00000  
+  12   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  
+  13   2.00000  -1.56366   0.44504   0.86777  -1.80194   1.94986  -1.24698   0.00000   1.24698  -1.94986   1.80194  -0.86777  -0.44504   1.56366  -2.00000  
+  14   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  
+  15   2.00000  -1.94986   1.80194  -1.56366   1.24698  -0.86777   0.44504   0.00000  -0.44504   0.86777  -1.24698   1.56366  -1.80194   1.94986  -2.00000  
+

data/Symmetry/C28h

@@ -0,0 +1,68 @@
+Group	C28h 
+n	30
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C28       
+   3 	 E1g        	 C14       
+   4 	 E2g        	 C28^3     
+   5 	 E3g        	 C7        
+   6 	 E4g        	 C28^5     
+   7 	 E5g        	 C14^3     
+   8 	 E6g        	 C4        
+   9 	 E7g        	 C7^2      
+  10 	 E8g        	 C28^9     
+  11 	 E9g        	 C14^5     
+  12 	 E10g       	 C28^11    
+  13 	 E11g       	 C7^3      
+  14 	 E12g       	 C28^13    
+  15 	 E13g       	 C2        
+  16 	 Au         	 i         
+  17 	 Bu         	 S28       
+  18 	 E1u        	 S14       
+  19 	 E2u        	 S28^3     
+  20 	 E3u        	 S7        
+  21 	 E4u        	 S28^5     
+  22 	 E5u        	 S14^3     
+  23 	 E6u        	 S4        
+  24 	 E7u        	 S7^2      
+  25 	 E8u        	 S28^9     
+  26 	 E9u        	 S14^5     
+  27 	 E10u       	 S28^11    
+  28 	 E11u       	 S7^3      
+  29 	 E12u       	 S28^13    
+  30 	 E13u       	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30     
+   1   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  
+   2   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  
+   3   2.00000   1.94986   1.80194   1.56366   1.24698   0.86777   0.44504   0.00000  -0.44504  -0.86777  -1.24698  -1.56366  -1.80194  -1.94986  -2.00000   2.00000  -1.94986  -1.80194  -1.56366  -1.24698  -0.86777  -0.44504   0.00000   0.44504   0.86777   1.24698   1.56366   1.80194   1.94986  -2.00000  
+   4   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000  
+   5   2.00000   1.56366   0.44504  -0.86777  -1.80194  -1.94986  -1.24698   0.00000   1.24698   1.94986   1.80194   0.86777  -0.44504  -1.56366  -2.00000   2.00000  -1.56366  -0.44504   0.86777   1.80194   1.94986   1.24698   0.00000  -1.24698  -1.94986  -1.80194  -0.86777   0.44504   1.56366  -2.00000  
+   6   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000  
+   7   2.00000   0.86777  -1.24698  -1.94986  -0.44504   1.56366   1.80194   0.00000  -1.80194  -1.56366   0.44504   1.94986   1.24698  -0.86777  -2.00000   2.00000  -0.86777   1.24698   1.94986   0.44504  -1.56366  -1.80194   0.00000   1.80194   1.56366  -0.44504  -1.94986  -1.24698   0.86777  -2.00000  
+   8   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000  
+   9   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000  -2.00000  
+  10   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  
+  11   2.00000  -0.86777  -1.24698   1.94986  -0.44504  -1.56366   1.80194   0.00000  -1.80194   1.56366   0.44504  -1.94986   1.24698   0.86777  -2.00000   2.00000   0.86777   1.24698  -1.94986   0.44504   1.56366  -1.80194   0.00000   1.80194  -1.56366  -0.44504   1.94986  -1.24698  -0.86777  -2.00000  
+  12   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  
+  13   2.00000  -1.56366   0.44504   0.86777  -1.80194   1.94986  -1.24698   0.00000   1.24698  -1.94986   1.80194  -0.86777  -0.44504   1.56366  -2.00000   2.00000   1.56366  -0.44504  -0.86777   1.80194  -1.94986   1.24698   0.00000  -1.24698   1.94986  -1.80194   0.86777   0.44504  -1.56366  -2.00000  
+  14   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  
+  15   2.00000  -1.94986   1.80194  -1.56366   1.24698  -0.86777   0.44504   0.00000  -0.44504   0.86777  -1.24698   1.56366  -1.80194   1.94986  -2.00000   2.00000   1.94986  -1.80194   1.56366  -1.24698   0.86777  -0.44504   0.00000   0.44504  -0.86777   1.24698  -1.56366   1.80194  -1.94986  -2.00000  
+  16   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  
+  17   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  
+  18   2.00000   1.94986   1.80194   1.56366   1.24698   0.86777   0.44504   0.00000  -0.44504  -0.86777  -1.24698  -1.56366  -1.80194  -1.94986  -2.00000  -2.00000   1.94986   1.80194   1.56366   1.24698   0.86777   0.44504   0.00000  -0.44504  -0.86777  -1.24698  -1.56366  -1.80194  -1.94986   2.00000  
+  19   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  
+  20   2.00000   1.56366   0.44504  -0.86777  -1.80194  -1.94986  -1.24698   0.00000   1.24698   1.94986   1.80194   0.86777  -0.44504  -1.56366  -2.00000  -2.00000   1.56366   0.44504  -0.86777  -1.80194  -1.94986  -1.24698   0.00000   1.24698   1.94986   1.80194   0.86777  -0.44504  -1.56366   2.00000  
+  21   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000  -2.00000  -1.24698   0.44504   1.80194   1.80194   0.44504  -1.24698  -2.00000  -1.24698   0.44504   1.80194   1.80194   0.44504  -1.24698  -2.00000  
+  22   2.00000   0.86777  -1.24698  -1.94986  -0.44504   1.56366   1.80194   0.00000  -1.80194  -1.56366   0.44504   1.94986   1.24698  -0.86777  -2.00000  -2.00000   0.86777  -1.24698  -1.94986  -0.44504   1.56366   1.80194   0.00000  -1.80194  -1.56366   0.44504   1.94986   1.24698  -0.86777   2.00000  
+  23   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  
+  24   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  -2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000   2.00000  
+  25   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -2.00000   0.44504   1.80194  -1.24698  -1.24698   1.80194   0.44504  -2.00000   0.44504   1.80194  -1.24698  -1.24698   1.80194   0.44504  -2.00000  
+  26   2.00000  -0.86777  -1.24698   1.94986  -0.44504  -1.56366   1.80194   0.00000  -1.80194   1.56366   0.44504  -1.94986   1.24698   0.86777  -2.00000  -2.00000  -0.86777  -1.24698   1.94986  -0.44504  -1.56366   1.80194   0.00000  -1.80194   1.56366   0.44504  -1.94986   1.24698   0.86777   2.00000  
+  27   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000  
+  28   2.00000  -1.56366   0.44504   0.86777  -1.80194   1.94986  -1.24698   0.00000   1.24698  -1.94986   1.80194  -0.86777  -0.44504   1.56366  -2.00000  -2.00000  -1.56366   0.44504   0.86777  -1.80194   1.94986  -1.24698   0.00000   1.24698  -1.94986   1.80194  -0.86777  -0.44504   1.56366   2.00000  
+  29   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -2.00000   1.80194  -1.24698   0.44504   0.44504  -1.24698   1.80194  -2.00000   1.80194  -1.24698   0.44504   0.44504  -1.24698   1.80194  -2.00000  
+  30   2.00000  -1.94986   1.80194  -1.56366   1.24698  -0.86777   0.44504   0.00000  -0.44504   0.86777  -1.24698   1.56366  -1.80194   1.94986  -2.00000  -2.00000  -1.94986   1.80194  -1.56366   1.24698  -0.86777   0.44504   0.00000  -0.44504   0.86777  -1.24698   1.56366  -1.80194   1.94986   2.00000  
+

data/Symmetry/C28v

@@ -0,0 +1,42 @@
+Group	C28v 
+n	17
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C28       
+   3 	 B1         	 C14       
+   4 	 B2         	 C28^3     
+   5 	 E1         	 C7        
+   6 	 E2         	 C28^5     
+   7 	 E3         	 C14^3     
+   8 	 E4         	 C4        
+   9 	 E5         	 C7^2      
+  10 	 E6         	 C28^9     
+  11 	 E7         	 C14^5     
+  12 	 E8         	 C28^11    
+  13 	 E9         	 C7^3      
+  14 	 E10        	 C28^13    
+  15 	 E11        	 C2        
+  16 	 E12        	 sv        
+  17 	 E13        	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.94986   1.80194   1.56366   1.24698   0.86777   0.44504   0.00000  -0.44504  -0.86777  -1.24698  -1.56366  -1.80194  -1.94986  -2.00000   0.00000   0.00000  
+   6   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   0.00000   0.00000  
+   7   2.00000   1.56366   0.44504  -0.86777  -1.80194  -1.94986  -1.24698   0.00000   1.24698   1.94986   1.80194   0.86777  -0.44504  -1.56366  -2.00000   0.00000   0.00000  
+   8   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   0.00000   0.00000  
+   9   2.00000   0.86777  -1.24698  -1.94986  -0.44504   1.56366   1.80194   0.00000  -1.80194  -1.56366   0.44504   1.94986   1.24698  -0.86777  -2.00000   0.00000   0.00000  
+  10   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   0.00000   0.00000  
+  11   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   0.00000  
+  12   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000   0.00000   0.00000  
+  13   2.00000  -0.86777  -1.24698   1.94986  -0.44504  -1.56366   1.80194   0.00000  -1.80194   1.56366   0.44504  -1.94986   1.24698   0.86777  -2.00000   0.00000   0.00000  
+  14   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000   0.00000   0.00000  
+  15   2.00000  -1.56366   0.44504   0.86777  -1.80194   1.94986  -1.24698   0.00000   1.24698  -1.94986   1.80194  -0.86777  -0.44504   1.56366  -2.00000   0.00000   0.00000  
+  16   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000   0.00000   0.00000  
+  17   2.00000  -1.94986   1.80194  -1.56366   1.24698  -0.86777   0.44504   0.00000  -0.44504   0.86777  -1.24698   1.56366  -1.80194   1.94986  -2.00000   0.00000   0.00000  
+

data/Symmetry/C29

@@ -0,0 +1,38 @@
+Group	C29 
+n	15
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C29       
+   3 	 E2         	 C29^2     
+   4 	 E3         	 C29^3     
+   5 	 E4         	 C29^4     
+   6 	 E5         	 C29^5     
+   7 	 E6         	 C29^6     
+   8 	 E7         	 C29^7     
+   9 	 E8         	 C29^8     
+  10 	 E9         	 C29^9     
+  11 	 E10        	 C29^10    
+  12 	 E11        	 C29^11    
+  13 	 E12        	 C29^12    
+  14 	 E13        	 C29^13    
+  15 	 E14        	 C29^14    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15     
+   1   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  
+   2   2.00000   1.95324   1.81515   1.59219   1.29477   0.93682   0.53506   0.10828  -0.32356  -0.74028  -1.12237  -1.45199  -1.71371  -1.89531  -1.98828  
+   3   2.00000   1.81515   1.29477   0.53506  -0.32356  -1.12237  -1.71371  -1.98828  -1.89531  -1.45199  -0.74028   0.10828   0.93682   1.59219   1.95324  
+   4   2.00000   1.59219   0.53506  -0.74028  -1.71371  -1.98828  -1.45199  -0.32356   0.93682   1.81515   1.95324   1.29477   0.10828  -1.12237  -1.89531  
+   5   2.00000   1.29477  -0.32356  -1.71371  -1.89531  -0.74028   0.93682   1.95324   1.59219   0.10828  -1.45199  -1.98828  -1.12237   0.53506   1.81515  
+   6   2.00000   0.93682  -1.12237  -1.98828  -0.74028   1.29477   1.95324   0.53506  -1.45199  -1.89531  -0.32356   1.59219   1.81515   0.10828  -1.71371  
+   7   2.00000   0.53506  -1.71371  -1.45199   0.93682   1.95324   0.10828  -1.89531  -1.12237   1.29477   1.81515  -0.32356  -1.98828  -0.74028   1.59219  
+   8   2.00000   0.10828  -1.98828  -0.32356   1.95324   0.53506  -1.89531  -0.74028   1.81515   0.93682  -1.71371  -1.12237   1.59219   1.29477  -1.45199  
+   9   2.00000  -0.32356  -1.89531   0.93682   1.59219  -1.45199  -1.12237   1.81515   0.53506  -1.98828   0.10828   1.95324  -0.74028  -1.71371   1.29477  
+  10   2.00000  -0.74028  -1.45199   1.81515   0.10828  -1.89531   1.29477   0.93682  -1.98828   0.53506   1.59219  -1.71371  -0.32356   1.95324  -1.12237  
+  11   2.00000  -1.12237  -0.74028   1.95324  -1.45199  -0.32356   1.81515  -1.71371   0.10828   1.59219  -1.89531   0.53506   1.29477  -1.98828   0.93682  
+  12   2.00000  -1.45199   0.10828   1.29477  -1.98828   1.59219  -0.32356  -1.12237   1.95324  -1.71371   0.53506   0.93682  -1.89531   1.81515  -0.74028  
+  13   2.00000  -1.71371   0.93682   0.10828  -1.12237   1.81515  -1.98828   1.59219  -0.74028  -0.32356   1.29477  -1.89531   1.95324  -1.45199   0.53506  
+  14   2.00000  -1.89531   1.59219  -1.12237   0.53506   0.10828  -0.74028   1.29477  -1.71371   1.95324  -1.98828   1.81515  -1.45199   0.93682  -0.32356  
+  15   2.00000  -1.98828   1.95324  -1.89531   1.81515  -1.71371   1.59219  -1.45199   1.29477  -1.12237   0.93682  -0.74028   0.53506  -0.32356   0.10828  
+

data/Symmetry/C29h

@@ -0,0 +1,68 @@
+Group	C29h 
+n	30
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C29       
+   3 	 E1'        	 C29^2     
+   4 	 E1"        	 C29^3     
+   5 	 E2'        	 C29^4     
+   6 	 E2"        	 C29^5     
+   7 	 E3'        	 C29^6     
+   8 	 E3"        	 C29^7     
+   9 	 E4'        	 C29^8     
+  10 	 E4"        	 C29^9     
+  11 	 E5'        	 C29^10    
+  12 	 E5"        	 C29^11    
+  13 	 E6'        	 C29^12    
+  14 	 E6"        	 C29^13    
+  15 	 E7'        	 C29^14    
+  16 	 E7"        	 sh        
+  17 	 E8'        	 S29       
+  18 	 E8"        	 S29^3     
+  19 	 E9'        	 S29^5     
+  20 	 E9"        	 S29^7     
+  21 	 E10'       	 S29^9     
+  22 	 E10"       	 S29^11    
+  23 	 E11'       	 S29^13    
+  24 	 E11"       	 S29^15    
+  25 	 E12'       	 S29^17    
+  26 	 E12"       	 S29^19    
+  27 	 E13'       	 S29^21    
+  28 	 E13"       	 S29^23    
+  29 	 E14'       	 S29^25    
+  30 	 E14"       	 S29^27    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30     
+   1   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  
+   2   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  
+   3   2.00000   1.95324   1.81515   1.59219   1.29477   0.93682   0.53506   0.10828  -0.32356  -0.74028  -1.12237  -1.45199  -1.71371  -1.89531  -1.98828   2.00000   1.95324   1.59219   0.93682   0.10828  -0.74028  -1.45199  -1.89531  -1.98828  -1.71371  -1.12237  -0.32356   0.53506   1.29477   1.81515  
+   4   2.00000   1.95324   1.81515   1.59219   1.29477   0.93682   0.53506   0.10828  -0.32356  -0.74028  -1.12237  -1.45199  -1.71371  -1.89531  -1.98828  -2.00000  -1.95324  -1.59219  -0.93682  -0.10828   0.74028   1.45199   1.89531   1.98828   1.71371   1.12237   0.32356  -0.53506  -1.29477  -1.81515  
+   5   2.00000   1.81515   1.29477   0.53506  -0.32356  -1.12237  -1.71371  -1.98828  -1.89531  -1.45199  -0.74028   0.10828   0.93682   1.59219   1.95324   2.00000   1.81515   0.53506  -1.12237  -1.98828  -1.45199   0.10828   1.59219   1.95324   0.93682  -0.74028  -1.89531  -1.71371  -0.32356   1.29477  
+   6   2.00000   1.81515   1.29477   0.53506  -0.32356  -1.12237  -1.71371  -1.98828  -1.89531  -1.45199  -0.74028   0.10828   0.93682   1.59219   1.95324  -2.00000  -1.81515  -0.53506   1.12237   1.98828   1.45199  -0.10828  -1.59219  -1.95324  -0.93682   0.74028   1.89531   1.71371   0.32356  -1.29477  
+   7   2.00000   1.59219   0.53506  -0.74028  -1.71371  -1.98828  -1.45199  -0.32356   0.93682   1.81515   1.95324   1.29477   0.10828  -1.12237  -1.89531   2.00000   1.59219  -0.74028  -1.98828  -0.32356   1.81515   1.29477  -1.12237  -1.89531   0.10828   1.95324   0.93682  -1.45199  -1.71371   0.53506  
+   8   2.00000   1.59219   0.53506  -0.74028  -1.71371  -1.98828  -1.45199  -0.32356   0.93682   1.81515   1.95324   1.29477   0.10828  -1.12237  -1.89531  -2.00000  -1.59219   0.74028   1.98828   0.32356  -1.81515  -1.29477   1.12237   1.89531  -0.10828  -1.95324  -0.93682   1.45199   1.71371  -0.53506  
+   9   2.00000   1.29477  -0.32356  -1.71371  -1.89531  -0.74028   0.93682   1.95324   1.59219   0.10828  -1.45199  -1.98828  -1.12237   0.53506   1.81515   2.00000   1.29477  -1.71371  -0.74028   1.95324   0.10828  -1.98828   0.53506   1.81515  -1.12237  -1.45199   1.59219   0.93682  -1.89531  -0.32356  
+  10   2.00000   1.29477  -0.32356  -1.71371  -1.89531  -0.74028   0.93682   1.95324   1.59219   0.10828  -1.45199  -1.98828  -1.12237   0.53506   1.81515  -2.00000  -1.29477   1.71371   0.74028  -1.95324  -0.10828   1.98828  -0.53506  -1.81515   1.12237   1.45199  -1.59219  -0.93682   1.89531   0.32356  
+  11   2.00000   0.93682  -1.12237  -1.98828  -0.74028   1.29477   1.95324   0.53506  -1.45199  -1.89531  -0.32356   1.59219   1.81515   0.10828  -1.71371   2.00000   0.93682  -1.98828   1.29477   0.53506  -1.89531   1.59219   0.10828  -1.71371   1.81515  -0.32356  -1.45199   1.95324  -0.74028  -1.12237  
+  12   2.00000   0.93682  -1.12237  -1.98828  -0.74028   1.29477   1.95324   0.53506  -1.45199  -1.89531  -0.32356   1.59219   1.81515   0.10828  -1.71371  -2.00000  -0.93682   1.98828  -1.29477  -0.53506   1.89531  -1.59219  -0.10828   1.71371  -1.81515   0.32356   1.45199  -1.95324   0.74028   1.12237  
+  13   2.00000   0.53506  -1.71371  -1.45199   0.93682   1.95324   0.10828  -1.89531  -1.12237   1.29477   1.81515  -0.32356  -1.98828  -0.74028   1.59219   2.00000   0.53506  -1.45199   1.95324  -1.89531   1.29477  -0.32356  -0.74028   1.59219  -1.98828   1.81515  -1.12237   0.10828   0.93682  -1.71371  
+  14   2.00000   0.53506  -1.71371  -1.45199   0.93682   1.95324   0.10828  -1.89531  -1.12237   1.29477   1.81515  -0.32356  -1.98828  -0.74028   1.59219  -2.00000  -0.53506   1.45199  -1.95324   1.89531  -1.29477   0.32356   0.74028  -1.59219   1.98828  -1.81515   1.12237  -0.10828  -0.93682   1.71371  
+  15   2.00000   0.10828  -1.98828  -0.32356   1.95324   0.53506  -1.89531  -0.74028   1.81515   0.93682  -1.71371  -1.12237   1.59219   1.29477  -1.45199   2.00000   0.10828  -0.32356   0.53506  -0.74028   0.93682  -1.12237   1.29477  -1.45199   1.59219  -1.71371   1.81515  -1.89531   1.95324  -1.98828  
+  16   2.00000   0.10828  -1.98828  -0.32356   1.95324   0.53506  -1.89531  -0.74028   1.81515   0.93682  -1.71371  -1.12237   1.59219   1.29477  -1.45199  -2.00000  -0.10828   0.32356  -0.53506   0.74028  -0.93682   1.12237  -1.29477   1.45199  -1.59219   1.71371  -1.81515   1.89531  -1.95324   1.98828  
+  17   2.00000  -0.32356  -1.89531   0.93682   1.59219  -1.45199  -1.12237   1.81515   0.53506  -1.98828   0.10828   1.95324  -0.74028  -1.71371   1.29477   2.00000  -0.32356   0.93682  -1.45199   1.81515  -1.98828   1.95324  -1.71371   1.29477  -0.74028   0.10828   0.53506  -1.12237   1.59219  -1.89531  
+  18   2.00000  -0.32356  -1.89531   0.93682   1.59219  -1.45199  -1.12237   1.81515   0.53506  -1.98828   0.10828   1.95324  -0.74028  -1.71371   1.29477  -2.00000   0.32356  -0.93682   1.45199  -1.81515   1.98828  -1.95324   1.71371  -1.29477   0.74028  -0.10828  -0.53506   1.12237  -1.59219   1.89531  
+  19   2.00000  -0.74028  -1.45199   1.81515   0.10828  -1.89531   1.29477   0.93682  -1.98828   0.53506   1.59219  -1.71371  -0.32356   1.95324  -1.12237   2.00000  -0.74028   1.81515  -1.89531   0.93682   0.53506  -1.71371   1.95324  -1.12237  -0.32356   1.59219  -1.98828   1.29477   0.10828  -1.45199  
+  20   2.00000  -0.74028  -1.45199   1.81515   0.10828  -1.89531   1.29477   0.93682  -1.98828   0.53506   1.59219  -1.71371  -0.32356   1.95324  -1.12237  -2.00000   0.74028  -1.81515   1.89531  -0.93682  -0.53506   1.71371  -1.95324   1.12237   0.32356  -1.59219   1.98828  -1.29477  -0.10828   1.45199  
+  21   2.00000  -1.12237  -0.74028   1.95324  -1.45199  -0.32356   1.81515  -1.71371   0.10828   1.59219  -1.89531   0.53506   1.29477  -1.98828   0.93682   2.00000  -1.12237   1.95324  -0.32356  -1.71371   1.59219   0.53506  -1.98828   0.93682   1.29477  -1.89531   0.10828   1.81515  -1.45199  -0.74028  
+  22   2.00000  -1.12237  -0.74028   1.95324  -1.45199  -0.32356   1.81515  -1.71371   0.10828   1.59219  -1.89531   0.53506   1.29477  -1.98828   0.93682  -2.00000   1.12237  -1.95324   0.32356   1.71371  -1.59219  -0.53506   1.98828  -0.93682  -1.29477   1.89531  -0.10828  -1.81515   1.45199   0.74028  
+  23   2.00000  -1.45199   0.10828   1.29477  -1.98828   1.59219  -0.32356  -1.12237   1.95324  -1.71371   0.53506   0.93682  -1.89531   1.81515  -0.74028   2.00000  -1.45199   1.29477   1.59219  -1.12237  -1.71371   0.93682   1.81515  -0.74028  -1.89531   0.53506   1.95324  -0.32356  -1.98828   0.10828  
+  24   2.00000  -1.45199   0.10828   1.29477  -1.98828   1.59219  -0.32356  -1.12237   1.95324  -1.71371   0.53506   0.93682  -1.89531   1.81515  -0.74028  -2.00000   1.45199  -1.29477  -1.59219   1.12237   1.71371  -0.93682  -1.81515   0.74028   1.89531  -0.53506  -1.95324   0.32356   1.98828  -0.10828  
+  25   2.00000  -1.71371   0.93682   0.10828  -1.12237   1.81515  -1.98828   1.59219  -0.74028  -0.32356   1.29477  -1.89531   1.95324  -1.45199   0.53506   2.00000  -1.71371   0.10828   1.81515   1.59219  -0.32356  -1.89531  -1.45199   0.53506   1.95324   1.29477  -0.74028  -1.98828  -1.12237   0.93682  
+  26   2.00000  -1.71371   0.93682   0.10828  -1.12237   1.81515  -1.98828   1.59219  -0.74028  -0.32356   1.29477  -1.89531   1.95324  -1.45199   0.53506  -2.00000   1.71371  -0.10828  -1.81515  -1.59219   0.32356   1.89531   1.45199  -0.53506  -1.95324  -1.29477   0.74028   1.98828   1.12237  -0.93682  
+  27   2.00000  -1.89531   1.59219  -1.12237   0.53506   0.10828  -0.74028   1.29477  -1.71371   1.95324  -1.98828   1.81515  -1.45199   0.93682  -0.32356   2.00000  -1.89531  -1.12237   0.10828   1.29477   1.95324   1.81515   0.93682  -0.32356  -1.45199  -1.98828  -1.71371  -0.74028   0.53506   1.59219  
+  28   2.00000  -1.89531   1.59219  -1.12237   0.53506   0.10828  -0.74028   1.29477  -1.71371   1.95324  -1.98828   1.81515  -1.45199   0.93682  -0.32356  -2.00000   1.89531   1.12237  -0.10828  -1.29477  -1.95324  -1.81515  -0.93682   0.32356   1.45199   1.98828   1.71371   0.74028  -0.53506  -1.59219  
+  29   2.00000  -1.98828   1.95324  -1.89531   1.81515  -1.71371   1.59219  -1.45199   1.29477  -1.12237   0.93682  -0.74028   0.53506  -0.32356   0.10828   2.00000  -1.98828  -1.89531  -1.71371  -1.45199  -1.12237  -0.74028  -0.32356   0.10828   0.53506   0.93682   1.29477   1.59219   1.81515   1.95324  
+  30   2.00000  -1.98828   1.95324  -1.89531   1.81515  -1.71371   1.59219  -1.45199   1.29477  -1.12237   0.93682  -0.74028   0.53506  -0.32356   0.10828  -2.00000   1.98828   1.89531   1.71371   1.45199   1.12237   0.74028   0.32356  -0.10828  -0.53506  -0.93682  -1.29477  -1.59219  -1.81515  -1.95324  
+

data/Symmetry/C29v

@@ -0,0 +1,40 @@
+Group	C29v 
+n	16
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C29       
+   3 	 E1         	 C29^2     
+   4 	 E2         	 C29^3     
+   5 	 E3         	 C29^4     
+   6 	 E4         	 C29^5     
+   7 	 E5         	 C29^6     
+   8 	 E6         	 C29^7     
+   9 	 E7         	 C29^8     
+  10 	 E8         	 C29^9     
+  11 	 E9         	 C29^10    
+  12 	 E10        	 C29^11    
+  13 	 E11        	 C29^12    
+  14 	 E12        	 C29^13    
+  15 	 E13        	 C29^14    
+  16 	 E14        	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16     
+   1   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  
+   2   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  
+   3   2.00000   1.95324   1.81515   1.59219   1.29477   0.93682   0.53506   0.10828  -0.32356  -0.74028  -1.12237  -1.45199  -1.71371  -1.89531  -1.98828   0.00000  
+   4   2.00000   1.81515   1.29477   0.53506  -0.32356  -1.12237  -1.71371  -1.98828  -1.89531  -1.45199  -0.74028   0.10828   0.93682   1.59219   1.95324   0.00000  
+   5   2.00000   1.59219   0.53506  -0.74028  -1.71371  -1.98828  -1.45199  -0.32356   0.93682   1.81515   1.95324   1.29477   0.10828  -1.12237  -1.89531   0.00000  
+   6   2.00000   1.29477  -0.32356  -1.71371  -1.89531  -0.74028   0.93682   1.95324   1.59219   0.10828  -1.45199  -1.98828  -1.12237   0.53506   1.81515   0.00000  
+   7   2.00000   0.93682  -1.12237  -1.98828  -0.74028   1.29477   1.95324   0.53506  -1.45199  -1.89531  -0.32356   1.59219   1.81515   0.10828  -1.71371   0.00000  
+   8   2.00000   0.53506  -1.71371  -1.45199   0.93682   1.95324   0.10828  -1.89531  -1.12237   1.29477   1.81515  -0.32356  -1.98828  -0.74028   1.59219   0.00000  
+   9   2.00000   0.10828  -1.98828  -0.32356   1.95324   0.53506  -1.89531  -0.74028   1.81515   0.93682  -1.71371  -1.12237   1.59219   1.29477  -1.45199   0.00000  
+  10   2.00000  -0.32356  -1.89531   0.93682   1.59219  -1.45199  -1.12237   1.81515   0.53506  -1.98828   0.10828   1.95324  -0.74028  -1.71371   1.29477   0.00000  
+  11   2.00000  -0.74028  -1.45199   1.81515   0.10828  -1.89531   1.29477   0.93682  -1.98828   0.53506   1.59219  -1.71371  -0.32356   1.95324  -1.12237   0.00000  
+  12   2.00000  -1.12237  -0.74028   1.95324  -1.45199  -0.32356   1.81515  -1.71371   0.10828   1.59219  -1.89531   0.53506   1.29477  -1.98828   0.93682   0.00000  
+  13   2.00000  -1.45199   0.10828   1.29477  -1.98828   1.59219  -0.32356  -1.12237   1.95324  -1.71371   0.53506   0.93682  -1.89531   1.81515  -0.74028   0.00000  
+  14   2.00000  -1.71371   0.93682   0.10828  -1.12237   1.81515  -1.98828   1.59219  -0.74028  -0.32356   1.29477  -1.89531   1.95324  -1.45199   0.53506   0.00000  
+  15   2.00000  -1.89531   1.59219  -1.12237   0.53506   0.10828  -0.74028   1.29477  -1.71371   1.95324  -1.98828   1.81515  -1.45199   0.93682  -0.32356   0.00000  
+  16   2.00000  -1.98828   1.95324  -1.89531   1.81515  -1.71371   1.59219  -1.45199   1.29477  -1.12237   0.93682  -0.74028   0.53506  -0.32356   0.10828   0.00000  
+

data/Symmetry/C2h

@@ -0,0 +1,16 @@
+Group	C2h 
+n	4
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C2        
+   3 	 Au         	 i         
+   4 	 Bu         	 sh        
+
+Table
+         1         2         3         4      
+   1   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000  
+   3   1.00000   1.00000  -1.00000  -1.00000  
+   4   1.00000  -1.00000  -1.00000   1.00000  
+

data/Symmetry/C2v

@@ -0,0 +1,16 @@
+Group	C2v 
+n	4
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C2        
+   3 	 B1         	 sv        
+   4 	 B2         	 sd        
+
+Table
+         1         2         3         4      
+   1   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000  -1.00000   1.00000  
+

data/Symmetry/C3

@@ -0,0 +1,12 @@
+Group	C3 
+n	2
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E          	 C3        
+
+Table
+         1         2      
+   1   1.00000   1.00000  
+   2   2.00000  -1.00000  
+

data/Symmetry/C30

@@ -0,0 +1,40 @@
+Group	C30 
+n	16
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C30       
+   3 	 E1         	 C15       
+   4 	 E2         	 C10       
+   5 	 E3         	 C15^2     
+   6 	 E4         	 C6        
+   7 	 E5         	 C5        
+   8 	 E6         	 C30^7     
+   9 	 E7         	 C15^4     
+  10 	 E8         	 C10^3     
+  11 	 E9         	 C3        
+  12 	 E10        	 C30^11    
+  13 	 E11        	 C5^2      
+  14 	 E12        	 C30^13    
+  15 	 E13        	 C15^7     
+  16 	 E14        	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16     
+   1   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  
+   2   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  
+   3   2.00000   1.95630   1.82709   1.61803   1.33826   1.00000   0.61803   0.20906  -0.20906  -0.61803  -1.00000  -1.33826  -1.61803  -1.82709  -1.95630  -2.00000  
+   4   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000  
+   5   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  
+   6   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000  
+   7   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  
+   8   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  
+   9   2.00000   0.20906  -1.95630  -0.61803   1.82709   1.00000  -1.61803  -1.33826   1.33826   1.61803  -1.00000  -1.82709   0.61803   1.95630  -0.20906  -2.00000  
+  10   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000  
+  11   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  
+  12   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  
+  13   2.00000  -1.33826  -0.20906   1.61803  -1.95630   1.00000   0.61803  -1.82709   1.82709  -0.61803  -1.00000   1.95630  -1.61803   0.20906   1.33826  -2.00000  
+  14   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  
+  15   2.00000  -1.82709   1.33826  -0.61803  -0.20906   1.00000  -1.61803   1.95630  -1.95630   1.61803  -1.00000   0.20906   0.61803  -1.33826   1.82709  -2.00000  
+  16   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000  
+

data/Symmetry/C30h

@@ -0,0 +1,72 @@
+Group	C30h 
+n	32
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C30       
+   3 	 E1g        	 C15       
+   4 	 E2g        	 C10       
+   5 	 E3g        	 C15^2     
+   6 	 E4g        	 C6        
+   7 	 E5g        	 C5        
+   8 	 E6g        	 C30^7     
+   9 	 E7g        	 C15^4     
+  10 	 E8g        	 C10^3     
+  11 	 E9g        	 C3        
+  12 	 E10g       	 C30^11    
+  13 	 E11g       	 C5^2      
+  14 	 E12g       	 C30^13    
+  15 	 E13g       	 C15^7     
+  16 	 E14g       	 C2        
+  17 	 Au         	 i         
+  18 	 Bu         	 S30       
+  19 	 E1u        	 S15       
+  20 	 E2u        	 S10       
+  21 	 E3u        	 S15^2     
+  22 	 E4u        	 S6        
+  23 	 E5u        	 S5        
+  24 	 E6u        	 S30^7     
+  25 	 E7u        	 S15^4     
+  26 	 E8u        	 S10^3     
+  27 	 E9u        	 S3        
+  28 	 E10u       	 S30^11    
+  29 	 E11u       	 S5^2      
+  30 	 E12u       	 S30^13    
+  31 	 E13u       	 S15^7     
+  32 	 E14u       	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30        31        32     
+   1   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  
+   2   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  
+   3   2.00000   1.95630   1.82709   1.61803   1.33826   1.00000   0.61803   0.20906  -0.20906  -0.61803  -1.00000  -1.33826  -1.61803  -1.82709  -1.95630  -2.00000   2.00000  -1.95630  -1.82709  -1.61803  -1.33826  -1.00000  -0.61803  -0.20906   0.20906   0.61803   1.00000   1.33826   1.61803   1.82709   1.95630  -2.00000  
+   4   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000  
+   5   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   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  
+   6   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000  
+   7   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   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  
+   8   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   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  
+   9   2.00000   0.20906  -1.95630  -0.61803   1.82709   1.00000  -1.61803  -1.33826   1.33826   1.61803  -1.00000  -1.82709   0.61803   1.95630  -0.20906  -2.00000   2.00000  -0.20906   1.95630   0.61803  -1.82709  -1.00000   1.61803   1.33826  -1.33826  -1.61803   1.00000   1.82709  -0.61803  -1.95630   0.20906  -2.00000  
+  10   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000  
+  11   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   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  
+  12   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   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  
+  13   2.00000  -1.33826  -0.20906   1.61803  -1.95630   1.00000   0.61803  -1.82709   1.82709  -0.61803  -1.00000   1.95630  -1.61803   0.20906   1.33826  -2.00000   2.00000   1.33826   0.20906  -1.61803   1.95630  -1.00000  -0.61803   1.82709  -1.82709   0.61803   1.00000  -1.95630   1.61803  -0.20906  -1.33826  -2.00000  
+  14   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   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  
+  15   2.00000  -1.82709   1.33826  -0.61803  -0.20906   1.00000  -1.61803   1.95630  -1.95630   1.61803  -1.00000   0.20906   0.61803  -1.33826   1.82709  -2.00000   2.00000   1.82709  -1.33826   0.61803   0.20906  -1.00000   1.61803  -1.95630   1.95630  -1.61803   1.00000  -0.20906  -0.61803   1.33826  -1.82709  -2.00000  
+  16   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000  
+  17   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  
+  18   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  
+  19   2.00000   1.95630   1.82709   1.61803   1.33826   1.00000   0.61803   0.20906  -0.20906  -0.61803  -1.00000  -1.33826  -1.61803  -1.82709  -1.95630  -2.00000  -2.00000   1.95630   1.82709   1.61803   1.33826   1.00000   0.61803   0.20906  -0.20906  -0.61803  -1.00000  -1.33826  -1.61803  -1.82709  -1.95630   2.00000  
+  20   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000  -2.00000  -1.82709  -1.33826  -0.61803   0.20906   1.00000   1.61803   1.95630   1.95630   1.61803   1.00000   0.20906  -0.61803  -1.33826  -1.82709  -2.00000  
+  21   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  -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  
+  22   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000  -2.00000  -1.33826   0.20906   1.61803   1.95630   1.00000  -0.61803  -1.82709  -1.82709  -0.61803   1.00000   1.95630   1.61803   0.20906  -1.33826  -2.00000  
+  23   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  -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  
+  24   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  -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  
+  25   2.00000   0.20906  -1.95630  -0.61803   1.82709   1.00000  -1.61803  -1.33826   1.33826   1.61803  -1.00000  -1.82709   0.61803   1.95630  -0.20906  -2.00000  -2.00000   0.20906  -1.95630  -0.61803   1.82709   1.00000  -1.61803  -1.33826   1.33826   1.61803  -1.00000  -1.82709   0.61803   1.95630  -0.20906   2.00000  
+  26   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000  -2.00000   0.20906   1.95630  -0.61803  -1.82709   1.00000   1.61803  -1.33826  -1.33826   1.61803   1.00000  -1.82709  -0.61803   1.95630   0.20906  -2.00000  
+  27   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  -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  
+  28   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  -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  
+  29   2.00000  -1.33826  -0.20906   1.61803  -1.95630   1.00000   0.61803  -1.82709   1.82709  -0.61803  -1.00000   1.95630  -1.61803   0.20906   1.33826  -2.00000  -2.00000  -1.33826  -0.20906   1.61803  -1.95630   1.00000   0.61803  -1.82709   1.82709  -0.61803  -1.00000   1.95630  -1.61803   0.20906   1.33826   2.00000  
+  30   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  -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  
+  31   2.00000  -1.82709   1.33826  -0.61803  -0.20906   1.00000  -1.61803   1.95630  -1.95630   1.61803  -1.00000   0.20906   0.61803  -1.33826   1.82709  -2.00000  -2.00000  -1.82709   1.33826  -0.61803  -0.20906   1.00000  -1.61803   1.95630  -1.95630   1.61803  -1.00000   0.20906   0.61803  -1.33826   1.82709   2.00000  
+  32   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000  -2.00000   1.95630  -1.82709   1.61803  -1.33826   1.00000  -0.61803   0.20906   0.20906  -0.61803   1.00000  -1.33826   1.61803  -1.82709   1.95630  -2.00000  
+

data/Symmetry/C30v

@@ -0,0 +1,44 @@
+Group	C30v 
+n	18
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C30       
+   3 	 B1         	 C15       
+   4 	 B2         	 C10       
+   5 	 E1         	 C15^2     
+   6 	 E2         	 C6        
+   7 	 E3         	 C5        
+   8 	 E4         	 C30^7     
+   9 	 E5         	 C15^4     
+  10 	 E6         	 C10^3     
+  11 	 E7         	 C3        
+  12 	 E8         	 C30^11    
+  13 	 E9         	 C5^2      
+  14 	 E10        	 C30^13    
+  15 	 E11        	 C15^7     
+  16 	 E12        	 C2        
+  17 	 E13        	 sv        
+  18 	 E14        	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.95630   1.82709   1.61803   1.33826   1.00000   0.61803   0.20906  -0.20906  -0.61803  -1.00000  -1.33826  -1.61803  -1.82709  -1.95630  -2.00000   0.00000   0.00000  
+   6   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000   0.00000   0.00000  
+   7   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   0.00000   0.00000  
+   8   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000   0.00000   0.00000  
+   9   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  
+  10   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   0.00000   0.00000  
+  11   2.00000   0.20906  -1.95630  -0.61803   1.82709   1.00000  -1.61803  -1.33826   1.33826   1.61803  -1.00000  -1.82709   0.61803   1.95630  -0.20906  -2.00000   0.00000   0.00000  
+  12   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000   0.00000   0.00000  
+  13   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   0.00000   0.00000  
+  14   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  
+  15   2.00000  -1.33826  -0.20906   1.61803  -1.95630   1.00000   0.61803  -1.82709   1.82709  -0.61803  -1.00000   1.95630  -1.61803   0.20906   1.33826  -2.00000   0.00000   0.00000  
+  16   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   0.00000   0.00000  
+  17   2.00000  -1.82709   1.33826  -0.61803  -0.20906   1.00000  -1.61803   1.95630  -1.95630   1.61803  -1.00000   0.20906   0.61803  -1.33826   1.82709  -2.00000   0.00000   0.00000  
+  18   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000   0.00000   0.00000  
+

data/Symmetry/C31

@@ -0,0 +1,40 @@
+Group	C31 
+n	16
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C31       
+   3 	 E2         	 C31^2     
+   4 	 E3         	 C31^3     
+   5 	 E4         	 C31^4     
+   6 	 E5         	 C31^5     
+   7 	 E6         	 C31^6     
+   8 	 E7         	 C31^7     
+   9 	 E8         	 C31^8     
+  10 	 E9         	 C31^9     
+  11 	 E10        	 C31^10    
+  12 	 E11        	 C31^11    
+  13 	 E12        	 C31^12    
+  14 	 E13        	 C31^13    
+  15 	 E14        	 C31^14    
+  16 	 E15        	 C31^15    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16     
+   1   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  
+   2   2.00000   1.95906   1.83792   1.64153   1.37793   1.05793   0.69461   0.30286  -0.10130  -0.50131  -0.88079  -1.22421  -1.51752  -1.74869  -1.90828  -1.98974  
+   3   2.00000   1.83792   1.37793   0.69461  -0.10130  -0.88079  -1.51752  -1.90828  -1.98974  -1.74869  -1.22421  -0.50131   0.30286   1.05793   1.64153   1.95906  
+   4   2.00000   1.64153   0.69461  -0.50131  -1.51752  -1.98974  -1.74869  -0.88079   0.30286   1.37793   1.95906   1.83792   1.05793  -0.10130  -1.22421  -1.90828  
+   5   2.00000   1.37793  -0.10130  -1.51752  -1.98974  -1.22421   0.30286   1.64153   1.95906   1.05793  -0.50131  -1.74869  -1.90828  -0.88079   0.69461   1.83792  
+   6   2.00000   1.05793  -0.88079  -1.98974  -1.22421   0.69461   1.95906   1.37793  -0.50131  -1.90828  -1.51752   0.30286   1.83792   1.64153  -0.10130  -1.74869  
+   7   2.00000   0.69461  -1.51752  -1.74869   0.30286   1.95906   1.05793  -1.22421  -1.90828  -0.10130   1.83792   1.37793  -0.88079  -1.98974  -0.50131   1.64153  
+   8   2.00000   0.30286  -1.90828  -0.88079   1.64153   1.37793  -1.22421  -1.74869   0.69461   1.95906  -0.10130  -1.98974  -0.50131   1.83792   1.05793  -1.51752  
+   9   2.00000  -0.10130  -1.98974   0.30286   1.95906  -0.50131  -1.90828   0.69461   1.83792  -0.88079  -1.74869   1.05793   1.64153  -1.22421  -1.51752   1.37793  
+  10   2.00000  -0.50131  -1.74869   1.37793   1.05793  -1.90828  -0.10130   1.95906  -0.88079  -1.51752   1.64153   0.69461  -1.98974   0.30286   1.83792  -1.22421  
+  11   2.00000  -0.88079  -1.22421   1.95906  -0.50131  -1.51752   1.83792  -0.10130  -1.74869   1.64153   0.30286  -1.90828   1.37793   0.69461  -1.98974   1.05793  
+  12   2.00000  -1.22421  -0.50131   1.83792  -1.74869   0.30286   1.37793  -1.98974   1.05793   0.69461  -1.90828   1.64153  -0.10130  -1.51752   1.95906  -0.88079  
+  13   2.00000  -1.51752   0.30286   1.05793  -1.90828   1.83792  -0.88079  -0.50131   1.64153  -1.98974   1.37793  -0.10130  -1.22421   1.95906  -1.74869   0.69461  
+  14   2.00000  -1.74869   1.05793  -0.10130  -0.88079   1.64153  -1.98974   1.83792  -1.22421   0.30286   0.69461  -1.51752   1.95906  -1.90828   1.37793  -0.50131  
+  15   2.00000  -1.90828   1.64153  -1.22421   0.69461  -0.10130  -0.50131   1.05793  -1.51752   1.83792  -1.98974   1.95906  -1.74869   1.37793  -0.88079   0.30286  
+  16   2.00000  -1.98974   1.95906  -1.90828   1.83792  -1.74869   1.64153  -1.51752   1.37793  -1.22421   1.05793  -0.88079   0.69461  -0.50131   0.30286  -0.10130  
+

data/Symmetry/C31h

@@ -0,0 +1,72 @@
+Group	C31h 
+n	32
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C31       
+   3 	 E1'        	 C31^2     
+   4 	 E1"        	 C31^3     
+   5 	 E2'        	 C31^4     
+   6 	 E2"        	 C31^5     
+   7 	 E3'        	 C31^6     
+   8 	 E3"        	 C31^7     
+   9 	 E4'        	 C31^8     
+  10 	 E4"        	 C31^9     
+  11 	 E5'        	 C31^10    
+  12 	 E5"        	 C31^11    
+  13 	 E6'        	 C31^12    
+  14 	 E6"        	 C31^13    
+  15 	 E7'        	 C31^14    
+  16 	 E7"        	 C31^15    
+  17 	 E8'        	 sh        
+  18 	 E8"        	 S31       
+  19 	 E9'        	 S31^3     
+  20 	 E9"        	 S31^5     
+  21 	 E10'       	 S31^7     
+  22 	 E10"       	 S31^9     
+  23 	 E11'       	 S31^11    
+  24 	 E11"       	 S31^13    
+  25 	 E12'       	 S31^15    
+  26 	 E12"       	 S31^17    
+  27 	 E13'       	 S31^19    
+  28 	 E13"       	 S31^21    
+  29 	 E14'       	 S31^23    
+  30 	 E14"       	 S31^25    
+  31 	 E15'       	 S31^27    
+  32 	 E15"       	 S31^29    
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30        31        32     
+   1   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  
+   2   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  
+   3   2.00000   1.95906   1.83792   1.64153   1.37793   1.05793   0.69461   0.30286  -0.10130  -0.50131  -0.88079  -1.22421  -1.51752  -1.74869  -1.90828  -1.98974   2.00000   1.95906   1.64153   1.05793   0.30286  -0.50131  -1.22421  -1.74869  -1.98974  -1.90828  -1.51752  -0.88079  -0.10130   0.69461   1.37793   1.83792  
+   4   2.00000   1.95906   1.83792   1.64153   1.37793   1.05793   0.69461   0.30286  -0.10130  -0.50131  -0.88079  -1.22421  -1.51752  -1.74869  -1.90828  -1.98974  -2.00000  -1.95906  -1.64153  -1.05793  -0.30286   0.50131   1.22421   1.74869   1.98974   1.90828   1.51752   0.88079   0.10130  -0.69461  -1.37793  -1.83792  
+   5   2.00000   1.83792   1.37793   0.69461  -0.10130  -0.88079  -1.51752  -1.90828  -1.98974  -1.74869  -1.22421  -0.50131   0.30286   1.05793   1.64153   1.95906   2.00000   1.83792   0.69461  -0.88079  -1.90828  -1.74869  -0.50131   1.05793   1.95906   1.64153   0.30286  -1.22421  -1.98974  -1.51752  -0.10130   1.37793  
+   6   2.00000   1.83792   1.37793   0.69461  -0.10130  -0.88079  -1.51752  -1.90828  -1.98974  -1.74869  -1.22421  -0.50131   0.30286   1.05793   1.64153   1.95906  -2.00000  -1.83792  -0.69461   0.88079   1.90828   1.74869   0.50131  -1.05793  -1.95906  -1.64153  -0.30286   1.22421   1.98974   1.51752   0.10130  -1.37793  
+   7   2.00000   1.64153   0.69461  -0.50131  -1.51752  -1.98974  -1.74869  -0.88079   0.30286   1.37793   1.95906   1.83792   1.05793  -0.10130  -1.22421  -1.90828   2.00000   1.64153  -0.50131  -1.98974  -0.88079   1.37793   1.83792  -0.10130  -1.90828  -1.22421   1.05793   1.95906   0.30286  -1.74869  -1.51752   0.69461  
+   8   2.00000   1.64153   0.69461  -0.50131  -1.51752  -1.98974  -1.74869  -0.88079   0.30286   1.37793   1.95906   1.83792   1.05793  -0.10130  -1.22421  -1.90828  -2.00000  -1.64153   0.50131   1.98974   0.88079  -1.37793  -1.83792   0.10130   1.90828   1.22421  -1.05793  -1.95906  -0.30286   1.74869   1.51752  -0.69461  
+   9   2.00000   1.37793  -0.10130  -1.51752  -1.98974  -1.22421   0.30286   1.64153   1.95906   1.05793  -0.50131  -1.74869  -1.90828  -0.88079   0.69461   1.83792   2.00000   1.37793  -1.51752  -1.22421   1.64153   1.05793  -1.74869  -0.88079   1.83792   0.69461  -1.90828  -0.50131   1.95906   0.30286  -1.98974  -0.10130  
+  10   2.00000   1.37793  -0.10130  -1.51752  -1.98974  -1.22421   0.30286   1.64153   1.95906   1.05793  -0.50131  -1.74869  -1.90828  -0.88079   0.69461   1.83792  -2.00000  -1.37793   1.51752   1.22421  -1.64153  -1.05793   1.74869   0.88079  -1.83792  -0.69461   1.90828   0.50131  -1.95906  -0.30286   1.98974   0.10130  
+  11   2.00000   1.05793  -0.88079  -1.98974  -1.22421   0.69461   1.95906   1.37793  -0.50131  -1.90828  -1.51752   0.30286   1.83792   1.64153  -0.10130  -1.74869   2.00000   1.05793  -1.98974   0.69461   1.37793  -1.90828   0.30286   1.64153  -1.74869  -0.10130   1.83792  -1.51752  -0.50131   1.95906  -1.22421  -0.88079  
+  12   2.00000   1.05793  -0.88079  -1.98974  -1.22421   0.69461   1.95906   1.37793  -0.50131  -1.90828  -1.51752   0.30286   1.83792   1.64153  -0.10130  -1.74869  -2.00000  -1.05793   1.98974  -0.69461  -1.37793   1.90828  -0.30286  -1.64153   1.74869   0.10130  -1.83792   1.51752   0.50131  -1.95906   1.22421   0.88079  
+  13   2.00000   0.69461  -1.51752  -1.74869   0.30286   1.95906   1.05793  -1.22421  -1.90828  -0.10130   1.83792   1.37793  -0.88079  -1.98974  -0.50131   1.64153   2.00000   0.69461  -1.74869   1.95906  -1.22421  -0.10130   1.37793  -1.98974   1.64153  -0.50131  -0.88079   1.83792  -1.90828   1.05793   0.30286  -1.51752  
+  14   2.00000   0.69461  -1.51752  -1.74869   0.30286   1.95906   1.05793  -1.22421  -1.90828  -0.10130   1.83792   1.37793  -0.88079  -1.98974  -0.50131   1.64153  -2.00000  -0.69461   1.74869  -1.95906   1.22421   0.10130  -1.37793   1.98974  -1.64153   0.50131   0.88079  -1.83792   1.90828  -1.05793  -0.30286   1.51752  
+  15   2.00000   0.30286  -1.90828  -0.88079   1.64153   1.37793  -1.22421  -1.74869   0.69461   1.95906  -0.10130  -1.98974  -0.50131   1.83792   1.05793  -1.51752   2.00000   0.30286  -0.88079   1.37793  -1.74869   1.95906  -1.98974   1.83792  -1.51752   1.05793  -0.50131  -0.10130   0.69461  -1.22421   1.64153  -1.90828  
+  16   2.00000   0.30286  -1.90828  -0.88079   1.64153   1.37793  -1.22421  -1.74869   0.69461   1.95906  -0.10130  -1.98974  -0.50131   1.83792   1.05793  -1.51752  -2.00000  -0.30286   0.88079  -1.37793   1.74869  -1.95906   1.98974  -1.83792   1.51752  -1.05793   0.50131   0.10130  -0.69461   1.22421  -1.64153   1.90828  
+  17   2.00000  -0.10130  -1.98974   0.30286   1.95906  -0.50131  -1.90828   0.69461   1.83792  -0.88079  -1.74869   1.05793   1.64153  -1.22421  -1.51752   1.37793   2.00000  -0.10130   0.30286  -0.50131   0.69461  -0.88079   1.05793  -1.22421   1.37793  -1.51752   1.64153  -1.74869   1.83792  -1.90828   1.95906  -1.98974  
+  18   2.00000  -0.10130  -1.98974   0.30286   1.95906  -0.50131  -1.90828   0.69461   1.83792  -0.88079  -1.74869   1.05793   1.64153  -1.22421  -1.51752   1.37793  -2.00000   0.10130  -0.30286   0.50131  -0.69461   0.88079  -1.05793   1.22421  -1.37793   1.51752  -1.64153   1.74869  -1.83792   1.90828  -1.95906   1.98974  
+  19   2.00000  -0.50131  -1.74869   1.37793   1.05793  -1.90828  -0.10130   1.95906  -0.88079  -1.51752   1.64153   0.69461  -1.98974   0.30286   1.83792  -1.22421   2.00000  -0.50131   1.37793  -1.90828   1.95906  -1.51752   0.69461   0.30286  -1.22421   1.83792  -1.98974   1.64153  -0.88079  -0.10130   1.05793  -1.74869  
+  20   2.00000  -0.50131  -1.74869   1.37793   1.05793  -1.90828  -0.10130   1.95906  -0.88079  -1.51752   1.64153   0.69461  -1.98974   0.30286   1.83792  -1.22421  -2.00000   0.50131  -1.37793   1.90828  -1.95906   1.51752  -0.69461  -0.30286   1.22421  -1.83792   1.98974  -1.64153   0.88079   0.10130  -1.05793   1.74869  
+  21   2.00000  -0.88079  -1.22421   1.95906  -0.50131  -1.51752   1.83792  -0.10130  -1.74869   1.64153   0.30286  -1.90828   1.37793   0.69461  -1.98974   1.05793   2.00000  -0.88079   1.95906  -1.51752  -0.10130   1.64153  -1.90828   0.69461   1.05793  -1.98974   1.37793   0.30286  -1.74869   1.83792  -0.50131  -1.22421  
+  22   2.00000  -0.88079  -1.22421   1.95906  -0.50131  -1.51752   1.83792  -0.10130  -1.74869   1.64153   0.30286  -1.90828   1.37793   0.69461  -1.98974   1.05793  -2.00000   0.88079  -1.95906   1.51752   0.10130  -1.64153   1.90828  -0.69461  -1.05793   1.98974  -1.37793  -0.30286   1.74869  -1.83792   0.50131   1.22421  
+  23   2.00000  -1.22421  -0.50131   1.83792  -1.74869   0.30286   1.37793  -1.98974   1.05793   0.69461  -1.90828   1.64153  -0.10130  -1.51752   1.95906  -0.88079   2.00000  -1.22421   1.83792   0.30286  -1.98974   0.69461   1.64153  -1.51752  -0.88079   1.95906  -0.10130  -1.90828   1.05793   1.37793  -1.74869  -0.50131  
+  24   2.00000  -1.22421  -0.50131   1.83792  -1.74869   0.30286   1.37793  -1.98974   1.05793   0.69461  -1.90828   1.64153  -0.10130  -1.51752   1.95906  -0.88079  -2.00000   1.22421  -1.83792  -0.30286   1.98974  -0.69461  -1.64153   1.51752   0.88079  -1.95906   0.10130   1.90828  -1.05793  -1.37793   1.74869   0.50131  
+  25   2.00000  -1.51752   0.30286   1.05793  -1.90828   1.83792  -0.88079  -0.50131   1.64153  -1.98974   1.37793  -0.10130  -1.22421   1.95906  -1.74869   0.69461   2.00000  -1.51752   1.05793   1.83792  -0.50131  -1.98974  -0.10130   1.95906   0.69461  -1.74869  -1.22421   1.37793   1.64153  -0.88079  -1.90828   0.30286  
+  26   2.00000  -1.51752   0.30286   1.05793  -1.90828   1.83792  -0.88079  -0.50131   1.64153  -1.98974   1.37793  -0.10130  -1.22421   1.95906  -1.74869   0.69461  -2.00000   1.51752  -1.05793  -1.83792   0.50131   1.98974   0.10130  -1.95906  -0.69461   1.74869   1.22421  -1.37793  -1.64153   0.88079   1.90828  -0.30286  
+  27   2.00000  -1.74869   1.05793  -0.10130  -0.88079   1.64153  -1.98974   1.83792  -1.22421   0.30286   0.69461  -1.51752   1.95906  -1.90828   1.37793  -0.50131   2.00000  -1.74869  -0.10130   1.64153   1.83792   0.30286  -1.51752  -1.90828  -0.50131   1.37793   1.95906   0.69461  -1.22421  -1.98974  -0.88079   1.05793  
+  28   2.00000  -1.74869   1.05793  -0.10130  -0.88079   1.64153  -1.98974   1.83792  -1.22421   0.30286   0.69461  -1.51752   1.95906  -1.90828   1.37793  -0.50131  -2.00000   1.74869   0.10130  -1.64153  -1.83792  -0.30286   1.51752   1.90828   0.50131  -1.37793  -1.95906  -0.69461   1.22421   1.98974   0.88079  -1.05793  
+  29   2.00000  -1.90828   1.64153  -1.22421   0.69461  -0.10130  -0.50131   1.05793  -1.51752   1.83792  -1.98974   1.95906  -1.74869   1.37793  -0.88079   0.30286   2.00000  -1.90828  -1.22421  -0.10130   1.05793   1.83792   1.95906   1.37793   0.30286  -0.88079  -1.74869  -1.98974  -1.51752  -0.50131   0.69461   1.64153  
+  30   2.00000  -1.90828   1.64153  -1.22421   0.69461  -0.10130  -0.50131   1.05793  -1.51752   1.83792  -1.98974   1.95906  -1.74869   1.37793  -0.88079   0.30286  -2.00000   1.90828   1.22421   0.10130  -1.05793  -1.83792  -1.95906  -1.37793  -0.30286   0.88079   1.74869   1.98974   1.51752   0.50131  -0.69461  -1.64153  
+  31   2.00000  -1.98974   1.95906  -1.90828   1.83792  -1.74869   1.64153  -1.51752   1.37793  -1.22421   1.05793  -0.88079   0.69461  -0.50131   0.30286  -0.10130   2.00000  -1.98974  -1.90828  -1.74869  -1.51752  -1.22421  -0.88079  -0.50131  -0.10130   0.30286   0.69461   1.05793   1.37793   1.64153   1.83792   1.95906  
+  32   2.00000  -1.98974   1.95906  -1.90828   1.83792  -1.74869   1.64153  -1.51752   1.37793  -1.22421   1.05793  -0.88079   0.69461  -0.50131   0.30286  -0.10130  -2.00000   1.98974   1.90828   1.74869   1.51752   1.22421   0.88079   0.50131   0.10130  -0.30286  -0.69461  -1.05793  -1.37793  -1.64153  -1.83792  -1.95906  
+

data/Symmetry/C31v

@@ -0,0 +1,42 @@
+Group	C31v 
+n	17
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C31       
+   3 	 E1         	 C31^2     
+   4 	 E2         	 C31^3     
+   5 	 E3         	 C31^4     
+   6 	 E4         	 C31^5     
+   7 	 E5         	 C31^6     
+   8 	 E6         	 C31^7     
+   9 	 E7         	 C31^8     
+  10 	 E8         	 C31^9     
+  11 	 E9         	 C31^10    
+  12 	 E10        	 C31^11    
+  13 	 E11        	 C31^12    
+  14 	 E12        	 C31^13    
+  15 	 E13        	 C31^14    
+  16 	 E14        	 C31^15    
+  17 	 E15        	 sv        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17     
+   1   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  
+   2   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  
+   3   2.00000   1.95906   1.83792   1.64153   1.37793   1.05793   0.69461   0.30286  -0.10130  -0.50131  -0.88079  -1.22421  -1.51752  -1.74869  -1.90828  -1.98974   0.00000  
+   4   2.00000   1.83792   1.37793   0.69461  -0.10130  -0.88079  -1.51752  -1.90828  -1.98974  -1.74869  -1.22421  -0.50131   0.30286   1.05793   1.64153   1.95906   0.00000  
+   5   2.00000   1.64153   0.69461  -0.50131  -1.51752  -1.98974  -1.74869  -0.88079   0.30286   1.37793   1.95906   1.83792   1.05793  -0.10130  -1.22421  -1.90828   0.00000  
+   6   2.00000   1.37793  -0.10130  -1.51752  -1.98974  -1.22421   0.30286   1.64153   1.95906   1.05793  -0.50131  -1.74869  -1.90828  -0.88079   0.69461   1.83792   0.00000  
+   7   2.00000   1.05793  -0.88079  -1.98974  -1.22421   0.69461   1.95906   1.37793  -0.50131  -1.90828  -1.51752   0.30286   1.83792   1.64153  -0.10130  -1.74869   0.00000  
+   8   2.00000   0.69461  -1.51752  -1.74869   0.30286   1.95906   1.05793  -1.22421  -1.90828  -0.10130   1.83792   1.37793  -0.88079  -1.98974  -0.50131   1.64153   0.00000  
+   9   2.00000   0.30286  -1.90828  -0.88079   1.64153   1.37793  -1.22421  -1.74869   0.69461   1.95906  -0.10130  -1.98974  -0.50131   1.83792   1.05793  -1.51752   0.00000  
+  10   2.00000  -0.10130  -1.98974   0.30286   1.95906  -0.50131  -1.90828   0.69461   1.83792  -0.88079  -1.74869   1.05793   1.64153  -1.22421  -1.51752   1.37793   0.00000  
+  11   2.00000  -0.50131  -1.74869   1.37793   1.05793  -1.90828  -0.10130   1.95906  -0.88079  -1.51752   1.64153   0.69461  -1.98974   0.30286   1.83792  -1.22421   0.00000  
+  12   2.00000  -0.88079  -1.22421   1.95906  -0.50131  -1.51752   1.83792  -0.10130  -1.74869   1.64153   0.30286  -1.90828   1.37793   0.69461  -1.98974   1.05793   0.00000  
+  13   2.00000  -1.22421  -0.50131   1.83792  -1.74869   0.30286   1.37793  -1.98974   1.05793   0.69461  -1.90828   1.64153  -0.10130  -1.51752   1.95906  -0.88079   0.00000  
+  14   2.00000  -1.51752   0.30286   1.05793  -1.90828   1.83792  -0.88079  -0.50131   1.64153  -1.98974   1.37793  -0.10130  -1.22421   1.95906  -1.74869   0.69461   0.00000  
+  15   2.00000  -1.74869   1.05793  -0.10130  -0.88079   1.64153  -1.98974   1.83792  -1.22421   0.30286   0.69461  -1.51752   1.95906  -1.90828   1.37793  -0.50131   0.00000  
+  16   2.00000  -1.90828   1.64153  -1.22421   0.69461  -0.10130  -0.50131   1.05793  -1.51752   1.83792  -1.98974   1.95906  -1.74869   1.37793  -0.88079   0.30286   0.00000  
+  17   2.00000  -1.98974   1.95906  -1.90828   1.83792  -1.74869   1.64153  -1.51752   1.37793  -1.22421   1.05793  -0.88079   0.69461  -0.50131   0.30286  -0.10130   0.00000  
+

data/Symmetry/C32

@@ -0,0 +1,42 @@
+Group	C32 
+n	17
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C32       
+   3 	 E1         	 C16       
+   4 	 E2         	 C32^3     
+   5 	 E3         	 C8        
+   6 	 E4         	 C32^5     
+   7 	 E5         	 C16^3     
+   8 	 E6         	 C32^7     
+   9 	 E7         	 C4        
+  10 	 E8         	 C32^9     
+  11 	 E9         	 C16^5     
+  12 	 E10        	 C32^11    
+  13 	 E11        	 C8^3      
+  14 	 E12        	 C32^13    
+  15 	 E13        	 C16^7     
+  16 	 E14        	 C32^15    
+  17 	 E15        	 C2        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17     
+   1   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  
+   2   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  
+   3   2.00000   1.96157   1.84776   1.66294   1.41421   1.11114   0.76537   0.39018   0.00000  -0.39018  -0.76537  -1.11114  -1.41421  -1.66294  -1.84776  -1.96157  -2.00000  
+   4   2.00000   1.84776   1.41421   0.76537   0.00000  -0.76537  -1.41421  -1.84776  -2.00000  -1.84776  -1.41421  -0.76537   0.00000   0.76537   1.41421   1.84776   2.00000  
+   5   2.00000   1.66294   0.76537  -0.39018  -1.41421  -1.96157  -1.84776  -1.11114   0.00000   1.11114   1.84776   1.96157   1.41421   0.39018  -0.76537  -1.66294  -2.00000  
+   6   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000  
+   7   2.00000   1.11114  -0.76537  -1.96157  -1.41421   0.39018   1.84776   1.66294   0.00000  -1.66294  -1.84776  -0.39018   1.41421   1.96157   0.76537  -1.11114  -2.00000  
+   8   2.00000   0.76537  -1.41421  -1.84776   0.00000   1.84776   1.41421  -0.76537  -2.00000  -0.76537   1.41421   1.84776   0.00000  -1.84776  -1.41421   0.76537   2.00000  
+   9   2.00000   0.39018  -1.84776  -1.11114   1.41421   1.66294  -0.76537  -1.96157   0.00000   1.96157   0.76537  -1.66294  -1.41421   1.11114   1.84776  -0.39018  -2.00000  
+  10   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  
+  11   2.00000  -0.39018  -1.84776   1.11114   1.41421  -1.66294  -0.76537   1.96157   0.00000  -1.96157   0.76537   1.66294  -1.41421  -1.11114   1.84776   0.39018  -2.00000  
+  12   2.00000  -0.76537  -1.41421   1.84776   0.00000  -1.84776   1.41421   0.76537  -2.00000   0.76537   1.41421  -1.84776   0.00000   1.84776  -1.41421  -0.76537   2.00000  
+  13   2.00000  -1.11114  -0.76537   1.96157  -1.41421  -0.39018   1.84776  -1.66294   0.00000   1.66294  -1.84776   0.39018   1.41421  -1.96157   0.76537   1.11114  -2.00000  
+  14   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  
+  15   2.00000  -1.66294   0.76537   0.39018  -1.41421   1.96157  -1.84776   1.11114   0.00000  -1.11114   1.84776  -1.96157   1.41421  -0.39018  -0.76537   1.66294  -2.00000  
+  16   2.00000  -1.84776   1.41421  -0.76537   0.00000   0.76537  -1.41421   1.84776  -2.00000   1.84776  -1.41421   0.76537   0.00000  -0.76537   1.41421  -1.84776   2.00000  
+  17   2.00000  -1.96157   1.84776  -1.66294   1.41421  -1.11114   0.76537  -0.39018   0.00000   0.39018  -0.76537   1.11114  -1.41421   1.66294  -1.84776   1.96157  -2.00000  
+

data/Symmetry/C32h

@@ -0,0 +1,76 @@
+Group	C32h 
+n	34
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C32       
+   3 	 E1g        	 C16       
+   4 	 E2g        	 C32^3     
+   5 	 E3g        	 C8        
+   6 	 E4g        	 C32^5     
+   7 	 E5g        	 C16^3     
+   8 	 E6g        	 C32^7     
+   9 	 E7g        	 C4        
+  10 	 E8g        	 C32^9     
+  11 	 E9g        	 C16^5     
+  12 	 E10g       	 C32^11    
+  13 	 E11g       	 C8^3      
+  14 	 E12g       	 C32^13    
+  15 	 E13g       	 C16^7     
+  16 	 E14g       	 C32^15    
+  17 	 E15g       	 C2        
+  18 	 Au         	 i         
+  19 	 Bu         	 S32       
+  20 	 E1u        	 S16       
+  21 	 E2u        	 S32^3     
+  22 	 E3u        	 S8        
+  23 	 E4u        	 S32^5     
+  24 	 E5u        	 S16^3     
+  25 	 E6u        	 S32^7     
+  26 	 E7u        	 S4        
+  27 	 E8u        	 S32^9     
+  28 	 E9u        	 S16^5     
+  29 	 E10u       	 S32^11    
+  30 	 E11u       	 S8^3      
+  31 	 E12u       	 S32^13    
+  32 	 E13u       	 S16^7     
+  33 	 E14u       	 S32^15    
+  34 	 E15u       	 sh        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30        31        32        33        34     
+   1   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  
+   2   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  
+   3   2.00000   1.96157   1.84776   1.66294   1.41421   1.11114   0.76537   0.39018   0.00000  -0.39018  -0.76537  -1.11114  -1.41421  -1.66294  -1.84776  -1.96157  -2.00000   2.00000  -1.96157  -1.84776  -1.66294  -1.41421  -1.11114  -0.76537  -0.39018   0.00000   0.39018   0.76537   1.11114   1.41421   1.66294   1.84776   1.96157  -2.00000  
+   4   2.00000   1.84776   1.41421   0.76537   0.00000  -0.76537  -1.41421  -1.84776  -2.00000  -1.84776  -1.41421  -0.76537   0.00000   0.76537   1.41421   1.84776   2.00000   2.00000   1.84776   1.41421   0.76537   0.00000  -0.76537  -1.41421  -1.84776  -2.00000  -1.84776  -1.41421  -0.76537   0.00000   0.76537   1.41421   1.84776   2.00000  
+   5   2.00000   1.66294   0.76537  -0.39018  -1.41421  -1.96157  -1.84776  -1.11114   0.00000   1.11114   1.84776   1.96157   1.41421   0.39018  -0.76537  -1.66294  -2.00000   2.00000  -1.66294  -0.76537   0.39018   1.41421   1.96157   1.84776   1.11114   0.00000  -1.11114  -1.84776  -1.96157  -1.41421  -0.39018   0.76537   1.66294  -2.00000  
+   6   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000  
+   7   2.00000   1.11114  -0.76537  -1.96157  -1.41421   0.39018   1.84776   1.66294   0.00000  -1.66294  -1.84776  -0.39018   1.41421   1.96157   0.76537  -1.11114  -2.00000   2.00000  -1.11114   0.76537   1.96157   1.41421  -0.39018  -1.84776  -1.66294   0.00000   1.66294   1.84776   0.39018  -1.41421  -1.96157  -0.76537   1.11114  -2.00000  
+   8   2.00000   0.76537  -1.41421  -1.84776   0.00000   1.84776   1.41421  -0.76537  -2.00000  -0.76537   1.41421   1.84776   0.00000  -1.84776  -1.41421   0.76537   2.00000   2.00000   0.76537  -1.41421  -1.84776   0.00000   1.84776   1.41421  -0.76537  -2.00000  -0.76537   1.41421   1.84776   0.00000  -1.84776  -1.41421   0.76537   2.00000  
+   9   2.00000   0.39018  -1.84776  -1.11114   1.41421   1.66294  -0.76537  -1.96157   0.00000   1.96157   0.76537  -1.66294  -1.41421   1.11114   1.84776  -0.39018  -2.00000   2.00000  -0.39018   1.84776   1.11114  -1.41421  -1.66294   0.76537   1.96157   0.00000  -1.96157  -0.76537   1.66294   1.41421  -1.11114  -1.84776   0.39018  -2.00000  
+  10   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  
+  11   2.00000  -0.39018  -1.84776   1.11114   1.41421  -1.66294  -0.76537   1.96157   0.00000  -1.96157   0.76537   1.66294  -1.41421  -1.11114   1.84776   0.39018  -2.00000   2.00000   0.39018   1.84776  -1.11114  -1.41421   1.66294   0.76537  -1.96157   0.00000   1.96157  -0.76537  -1.66294   1.41421   1.11114  -1.84776  -0.39018  -2.00000  
+  12   2.00000  -0.76537  -1.41421   1.84776   0.00000  -1.84776   1.41421   0.76537  -2.00000   0.76537   1.41421  -1.84776   0.00000   1.84776  -1.41421  -0.76537   2.00000   2.00000  -0.76537  -1.41421   1.84776   0.00000  -1.84776   1.41421   0.76537  -2.00000   0.76537   1.41421  -1.84776   0.00000   1.84776  -1.41421  -0.76537   2.00000  
+  13   2.00000  -1.11114  -0.76537   1.96157  -1.41421  -0.39018   1.84776  -1.66294   0.00000   1.66294  -1.84776   0.39018   1.41421  -1.96157   0.76537   1.11114  -2.00000   2.00000   1.11114   0.76537  -1.96157   1.41421   0.39018  -1.84776   1.66294   0.00000  -1.66294   1.84776  -0.39018  -1.41421   1.96157  -0.76537  -1.11114  -2.00000  
+  14   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  
+  15   2.00000  -1.66294   0.76537   0.39018  -1.41421   1.96157  -1.84776   1.11114   0.00000  -1.11114   1.84776  -1.96157   1.41421  -0.39018  -0.76537   1.66294  -2.00000   2.00000   1.66294  -0.76537  -0.39018   1.41421  -1.96157   1.84776  -1.11114   0.00000   1.11114  -1.84776   1.96157  -1.41421   0.39018   0.76537  -1.66294  -2.00000  
+  16   2.00000  -1.84776   1.41421  -0.76537   0.00000   0.76537  -1.41421   1.84776  -2.00000   1.84776  -1.41421   0.76537   0.00000  -0.76537   1.41421  -1.84776   2.00000   2.00000  -1.84776   1.41421  -0.76537   0.00000   0.76537  -1.41421   1.84776  -2.00000   1.84776  -1.41421   0.76537   0.00000  -0.76537   1.41421  -1.84776   2.00000  
+  17   2.00000  -1.96157   1.84776  -1.66294   1.41421  -1.11114   0.76537  -0.39018   0.00000   0.39018  -0.76537   1.11114  -1.41421   1.66294  -1.84776   1.96157  -2.00000   2.00000   1.96157  -1.84776   1.66294  -1.41421   1.11114  -0.76537   0.39018   0.00000  -0.39018   0.76537  -1.11114   1.41421  -1.66294   1.84776  -1.96157  -2.00000  
+  18   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  
+  19   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  
+  20   2.00000   1.96157   1.84776   1.66294   1.41421   1.11114   0.76537   0.39018   0.00000  -0.39018  -0.76537  -1.11114  -1.41421  -1.66294  -1.84776  -1.96157  -2.00000  -2.00000   1.96157   1.84776   1.66294   1.41421   1.11114   0.76537   0.39018   0.00000  -0.39018  -0.76537  -1.11114  -1.41421  -1.66294  -1.84776  -1.96157   2.00000  
+  21   2.00000   1.84776   1.41421   0.76537   0.00000  -0.76537  -1.41421  -1.84776  -2.00000  -1.84776  -1.41421  -0.76537   0.00000   0.76537   1.41421   1.84776   2.00000  -2.00000  -1.84776  -1.41421  -0.76537   0.00000   0.76537   1.41421   1.84776   2.00000   1.84776   1.41421   0.76537   0.00000  -0.76537  -1.41421  -1.84776  -2.00000  
+  22   2.00000   1.66294   0.76537  -0.39018  -1.41421  -1.96157  -1.84776  -1.11114   0.00000   1.11114   1.84776   1.96157   1.41421   0.39018  -0.76537  -1.66294  -2.00000  -2.00000   1.66294   0.76537  -0.39018  -1.41421  -1.96157  -1.84776  -1.11114   0.00000   1.11114   1.84776   1.96157   1.41421   0.39018  -0.76537  -1.66294   2.00000  
+  23   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  
+  24   2.00000   1.11114  -0.76537  -1.96157  -1.41421   0.39018   1.84776   1.66294   0.00000  -1.66294  -1.84776  -0.39018   1.41421   1.96157   0.76537  -1.11114  -2.00000  -2.00000   1.11114  -0.76537  -1.96157  -1.41421   0.39018   1.84776   1.66294   0.00000  -1.66294  -1.84776  -0.39018   1.41421   1.96157   0.76537  -1.11114   2.00000  
+  25   2.00000   0.76537  -1.41421  -1.84776   0.00000   1.84776   1.41421  -0.76537  -2.00000  -0.76537   1.41421   1.84776   0.00000  -1.84776  -1.41421   0.76537   2.00000  -2.00000  -0.76537   1.41421   1.84776   0.00000  -1.84776  -1.41421   0.76537   2.00000   0.76537  -1.41421  -1.84776   0.00000   1.84776   1.41421  -0.76537  -2.00000  
+  26   2.00000   0.39018  -1.84776  -1.11114   1.41421   1.66294  -0.76537  -1.96157   0.00000   1.96157   0.76537  -1.66294  -1.41421   1.11114   1.84776  -0.39018  -2.00000  -2.00000   0.39018  -1.84776  -1.11114   1.41421   1.66294  -0.76537  -1.96157   0.00000   1.96157   0.76537  -1.66294  -1.41421   1.11114   1.84776  -0.39018   2.00000  
+  27   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000  
+  28   2.00000  -0.39018  -1.84776   1.11114   1.41421  -1.66294  -0.76537   1.96157   0.00000  -1.96157   0.76537   1.66294  -1.41421  -1.11114   1.84776   0.39018  -2.00000  -2.00000  -0.39018  -1.84776   1.11114   1.41421  -1.66294  -0.76537   1.96157   0.00000  -1.96157   0.76537   1.66294  -1.41421  -1.11114   1.84776   0.39018   2.00000  
+  29   2.00000  -0.76537  -1.41421   1.84776   0.00000  -1.84776   1.41421   0.76537  -2.00000   0.76537   1.41421  -1.84776   0.00000   1.84776  -1.41421  -0.76537   2.00000  -2.00000   0.76537   1.41421  -1.84776   0.00000   1.84776  -1.41421  -0.76537   2.00000  -0.76537  -1.41421   1.84776   0.00000  -1.84776   1.41421   0.76537  -2.00000  
+  30   2.00000  -1.11114  -0.76537   1.96157  -1.41421  -0.39018   1.84776  -1.66294   0.00000   1.66294  -1.84776   0.39018   1.41421  -1.96157   0.76537   1.11114  -2.00000  -2.00000  -1.11114  -0.76537   1.96157  -1.41421  -0.39018   1.84776  -1.66294   0.00000   1.66294  -1.84776   0.39018   1.41421  -1.96157   0.76537   1.11114   2.00000  
+  31   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000  
+  32   2.00000  -1.66294   0.76537   0.39018  -1.41421   1.96157  -1.84776   1.11114   0.00000  -1.11114   1.84776  -1.96157   1.41421  -0.39018  -0.76537   1.66294  -2.00000  -2.00000  -1.66294   0.76537   0.39018  -1.41421   1.96157  -1.84776   1.11114   0.00000  -1.11114   1.84776  -1.96157   1.41421  -0.39018  -0.76537   1.66294   2.00000  
+  33   2.00000  -1.84776   1.41421  -0.76537   0.00000   0.76537  -1.41421   1.84776  -2.00000   1.84776  -1.41421   0.76537   0.00000  -0.76537   1.41421  -1.84776   2.00000  -2.00000   1.84776  -1.41421   0.76537   0.00000  -0.76537   1.41421  -1.84776   2.00000  -1.84776   1.41421  -0.76537   0.00000   0.76537  -1.41421   1.84776  -2.00000  
+  34   2.00000  -1.96157   1.84776  -1.66294   1.41421  -1.11114   0.76537  -0.39018   0.00000   0.39018  -0.76537   1.11114  -1.41421   1.66294  -1.84776   1.96157  -2.00000  -2.00000  -1.96157   1.84776  -1.66294   1.41421  -1.11114   0.76537  -0.39018   0.00000   0.39018  -0.76537   1.11114  -1.41421   1.66294  -1.84776   1.96157   2.00000  
+

data/Symmetry/C32v

@@ -0,0 +1,46 @@
+Group	C32v 
+n	19
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C32       
+   3 	 B1         	 C16       
+   4 	 B2         	 C32^3     
+   5 	 E1         	 C8        
+   6 	 E2         	 C32^5     
+   7 	 E3         	 C16^3     
+   8 	 E4         	 C32^7     
+   9 	 E5         	 C4        
+  10 	 E6         	 C32^9     
+  11 	 E7         	 C16^5     
+  12 	 E8         	 C32^11    
+  13 	 E9         	 C8^3      
+  14 	 E10        	 C32^13    
+  15 	 E11        	 C16^7     
+  16 	 E12        	 C32^15    
+  17 	 E13        	 C2        
+  18 	 E14        	 sv        
+  19 	 E15        	 sd        
+
+Table
+         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19     
+   1   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  
+   2   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  
+   3   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  
+   4   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  
+   5   2.00000   1.96157   1.84776   1.66294   1.41421   1.11114   0.76537   0.39018   0.00000  -0.39018  -0.76537  -1.11114  -1.41421  -1.66294  -1.84776  -1.96157  -2.00000   0.00000   0.00000  
+   6   2.00000   1.84776   1.41421   0.76537   0.00000  -0.76537  -1.41421  -1.84776  -2.00000  -1.84776  -1.41421  -0.76537   0.00000   0.76537   1.41421   1.84776   2.00000   0.00000   0.00000  
+   7   2.00000   1.66294   0.76537  -0.39018  -1.41421  -1.96157  -1.84776  -1.11114   0.00000   1.11114   1.84776   1.96157   1.41421   0.39018  -0.76537  -1.66294  -2.00000   0.00000   0.00000  
+   8   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   0.00000   0.00000  
+   9   2.00000   1.11114  -0.76537  -1.96157  -1.41421   0.39018   1.84776   1.66294   0.00000  -1.66294  -1.84776  -0.39018   1.41421   1.96157   0.76537  -1.11114  -2.00000   0.00000   0.00000  
+  10   2.00000   0.76537  -1.41421  -1.84776   0.00000   1.84776   1.41421  -0.76537  -2.00000  -0.76537   1.41421   1.84776   0.00000  -1.84776  -1.41421   0.76537   2.00000   0.00000   0.00000  
+  11   2.00000   0.39018  -1.84776  -1.11114   1.41421   1.66294  -0.76537  -1.96157   0.00000   1.96157   0.76537  -1.66294  -1.41421   1.11114   1.84776  -0.39018  -2.00000   0.00000   0.00000  
+  12   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000   0.00000  
+  13   2.00000  -0.39018  -1.84776   1.11114   1.41421  -1.66294  -0.76537   1.96157   0.00000  -1.96157   0.76537   1.66294  -1.41421  -1.11114   1.84776   0.39018  -2.00000   0.00000   0.00000  
+  14   2.00000  -0.76537  -1.41421   1.84776   0.00000  -1.84776   1.41421   0.76537  -2.00000   0.76537   1.41421  -1.84776   0.00000   1.84776  -1.41421  -0.76537   2.00000   0.00000   0.00000  
+  15   2.00000  -1.11114  -0.76537   1.96157  -1.41421  -0.39018   1.84776  -1.66294   0.00000   1.66294  -1.84776   0.39018   1.41421  -1.96157   0.76537   1.11114  -2.00000   0.00000   0.00000  
+  16   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000   0.00000   0.00000  
+  17   2.00000  -1.66294   0.76537   0.39018  -1.41421   1.96157  -1.84776   1.11114   0.00000  -1.11114   1.84776  -1.96157   1.41421  -0.39018  -0.76537   1.66294  -2.00000   0.00000   0.00000  
+  18   2.00000  -1.84776   1.41421  -0.76537   0.00000   0.76537  -1.41421   1.84776  -2.00000   1.84776  -1.41421   0.76537   0.00000  -0.76537   1.41421  -1.84776   2.00000   0.00000   0.00000  
+  19   2.00000  -1.96157   1.84776  -1.66294   1.41421  -1.11114   0.76537  -0.39018   0.00000   0.39018  -0.76537   1.11114  -1.41421   1.66294  -1.84776   1.96157  -2.00000   0.00000   0.00000  
+

data/Symmetry/C3h

@@ -0,0 +1,16 @@
+Group	C3h 
+n	4
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C3        
+   3 	 E'         	 sh        
+   4 	 E"         	 S3        
+
+Table
+         1         2         3         4      
+   1   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000  -1.00000  -1.00000  
+   3   2.00000  -1.00000   2.00000  -1.00000  
+   4   2.00000  -1.00000  -2.00000   1.00000  
+

data/Symmetry/C3v

@@ -0,0 +1,14 @@
+Group	C3v 
+n	3
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C3        
+   3 	 E          	 sv        
+
+Table
+         1         2         3      
+   1   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000  -1.00000  
+   3   2.00000  -1.00000   0.00000  
+

data/Symmetry/C4

@@ -0,0 +1,14 @@
+Group	C4 
+n	3
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C4        
+   3 	 E          	 C2        
+
+Table
+         1         2         3      
+   1   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  
+   3   2.00000   0.00000  -2.00000  
+

data/Symmetry/C4h

@@ -0,0 +1,20 @@
+Group	C4h 
+n	6
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C4        
+   3 	 Eg         	 C2        
+   4 	 Au         	 i         
+   5 	 Bu         	 S4        
+   6 	 Eu         	 sh        
+
+Table
+         1         2         3         4         5         6      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000   1.00000  -1.00000   1.00000  
+   3   2.00000   0.00000  -2.00000   2.00000   0.00000  -2.00000  
+   4   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  
+   5   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   6   2.00000   0.00000  -2.00000  -2.00000   0.00000   2.00000  
+

data/Symmetry/C4v

@@ -0,0 +1,18 @@
+Group	C4v 
+n	5
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C4        
+   3 	 B1         	 C2        
+   4 	 B2         	 sv        
+   5 	 E          	 sd        
+
+Table
+         1         2         3         4         5      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000   1.00000  
+   5   2.00000   0.00000  -2.00000   0.00000   0.00000  
+

data/Symmetry/C5

@@ -0,0 +1,14 @@
+Group	C5 
+n	3
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 E1         	 C5        
+   3 	 E2         	 C5^2      
+
+Table
+         1         2         3      
+   1   1.00000   1.00000   1.00000  
+   2   2.00000   0.61800  -1.61800  
+   3   2.00000  -1.61800   0.61800  
+

data/Symmetry/C5h

@@ -0,0 +1,20 @@
+Group	C5h 
+n	6
+
+     	Irred     	Operation
+   1 	 A'         	 E         
+   2 	 A"         	 C5        
+   3 	 E1'        	 C5^2      
+   4 	 E1"        	 sh        
+   5 	 E2'        	 S5        
+   6 	 E2"        	 S5^3      
+
+Table
+         1         2         3         4         5         6      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  
+   3   2.00000   0.61800  -1.61800   2.00000   0.61800  -1.61800  
+   4   2.00000   0.61800  -1.61800  -2.00000  -0.61800   1.61800  
+   5   2.00000  -1.61800   0.61800   2.00000  -1.61800   0.61800  
+   6   2.00000  -1.61800   0.61800  -2.00000   1.61800  -0.61800  
+

data/Symmetry/C5v

@@ -0,0 +1,16 @@
+Group	C5v 
+n	4
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C5        
+   3 	 E1         	 C5^2      
+   4 	 E2         	 sv        
+
+Table
+         1         2         3         4      
+   1   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000  -1.00000  
+   3   2.00000   0.61800  -1.61800   0.00000  
+   4   2.00000  -1.61800   0.61800   0.00000  
+

data/Symmetry/C6

@@ -0,0 +1,16 @@
+Group	C6 
+n	4
+
+     	Irred     	Operation
+   1 	 A          	 E         
+   2 	 B          	 C6        
+   3 	 E1         	 C3        
+   4 	 E2         	 C2        
+
+Table
+         1         2         3         4      
+   1   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000  
+   3   2.00000   1.00000  -1.00000  -2.00000  
+   4   2.00000  -1.00000  -1.00000   2.00000  
+

data/Symmetry/C6h

@@ -0,0 +1,24 @@
+Group	C6h 
+n	8
+
+     	Irred     	Operation
+   1 	 Ag         	 E         
+   2 	 Bg         	 C6        
+   3 	 E1g        	 C3        
+   4 	 E2g        	 C2        
+   5 	 Au         	 i         
+   6 	 Bu         	 S6        
+   7 	 E1u        	 S3        
+   8 	 E2u        	 sh        
+
+Table
+         1         2         3         4         5         6         7         8      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000  -1.00000   1.00000  -1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   2.00000   1.00000  -1.00000  -2.00000   2.00000  -1.00000   1.00000  -2.00000  
+   4   2.00000  -1.00000  -1.00000   2.00000   2.00000  -1.00000  -1.00000   2.00000  
+   5   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  
+   6   1.00000  -1.00000   1.00000  -1.00000  -1.00000  -1.00000   1.00000   1.00000  
+   7   2.00000   1.00000  -1.00000  -2.00000  -2.00000   1.00000  -1.00000   2.00000  
+   8   2.00000  -1.00000  -1.00000   2.00000  -2.00000   1.00000   1.00000  -2.00000  
+

data/Symmetry/C6v

@@ -0,0 +1,20 @@
+Group	C6v 
+n	6
+
+     	Irred     	Operation
+   1 	 A1         	 E         
+   2 	 A2         	 C6        
+   3 	 B1         	 C3        
+   4 	 B2         	 C2        
+   5 	 E1         	 sv        
+   6 	 E2         	 sd        
+
+Table
+         1         2         3         4         5         6      
+   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
+   2   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  
+   3   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  
+   4   1.00000  -1.00000   1.00000  -1.00000  -1.00000   1.00000  
+   5   2.00000   1.00000  -1.00000  -2.00000   0.00000   0.00000  
+   6   2.00000  -1.00000  -1.00000   2.00000   0.00000   0.00000  
+