Merge pull request #3869 from jmgoff/compute-pace-update
Compute pace update
This commit is contained in:
Axel Kohlmeyer
@ -100,6 +100,7 @@ KOKKOS, o = OPENMP, t = OPT.
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* :doc:`nbond/atom <compute_nbond_atom>`
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* :doc:`omega/chunk <compute_omega_chunk>`
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* :doc:`orientorder/atom (k) <compute_orientorder_atom>`
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* :doc:`pace <compute_pace>`
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* :doc:`pair <compute_pair>`
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* :doc:`pair/local <compute_pair_local>`
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* :doc:`pe <compute_pe>`
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@ -264,6 +264,7 @@ The individual style names on the :doc:`Commands compute <Commands_compute>` pag
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* :doc:`nbond/atom <compute_nbond_atom>` - calculates number of bonds per atom
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* :doc:`omega/chunk <compute_omega_chunk>` - angular velocity for each chunk
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* :doc:`orientorder/atom <compute_orientorder_atom>` - Steinhardt bond orientational order parameters Ql
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* :doc:`pace <compute_pace>` - atomic cluster expansion descriptors and related quantities
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* :doc:`pair <compute_pair>` - values computed by a pair style
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* :doc:`pair/local <compute_pair_local>` - distance/energy/force of each pairwise interaction
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* :doc:`pe <compute_pe>` - potential energy
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251
doc/src/compute_pace.rst
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251
doc/src/compute_pace.rst
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@ -0,0 +1,251 @@
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.. index:: compute pace
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compute pace command
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========================
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Syntax
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""""""
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.. code-block:: LAMMPS
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compute ID group-ID pace ace_potential_filename ... keyword values ...
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* ID, group-ID are documented in :doc:`compute <compute>` command
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* pace = style name of this compute command
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* ace_potential_filename = file name (in the .yace or .ace format from :doc:`pace pair_style <pair_pace>`) including ACE hyperparameters, bonds, and generalized coupling coefficients
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* keyword = *bikflag* or *dgradflag*
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.. parsed-literal::
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*bikflag* value = *0* or *1*
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*0* = descriptors are summed over atoms of each type
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*1* = descriptors are listed separately for each atom
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*dgradflag* value = *0* or *1*
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*0* = descriptor gradients are summed over atoms of each type
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*1* = descriptor gradients are listed separately for each atom pair
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Examples
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""""""""
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.. code-block:: LAMMPS
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compute pace all pace coupling_coefficients.yace
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compute pace all pace coupling_coefficients.yace 0 1
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compute pace all pace coupling_coefficients.yace 1 1
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Description
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"""""""""""
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.. versionadded:: TBD
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This compute calculates a set of quantities related to the atomic cluster
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expansion (ACE) descriptors of the atoms in a group. ACE descriptors are
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a highly generalizable atomic descriptor, encoding the radial and angular
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distribution of neighbor atoms, up to arbitrary bond order (rank). The
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detailed mathematical definition is given in the paper by
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:ref:`(Drautz) <Drautz19>`. These descriptors are used in the
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:doc:`pace pair_style <pair_pace>`. Quantities obtained from `compute pace`
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are related to those used in :doc:`pace pair_style <pair_pace>` to
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evaluate atomic energies, forces, and stresses for linear ACE models.
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For example, the energy for a linear ACE model is calculated as:
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:math:`E=\sum_i^{N\_atoms} \sum_{\boldsymbol{\nu}} c_{\boldsymbol{\nu}} B_{i,\boldsymbol{\boldsymbol{\nu}}}`.
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The ACE descriptors for atom `i` :math:`B_{i,\boldsymbol{\nu}}`, and
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:math:`c_{\nu}` are linear model parameters. The detailed definition
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and indexing convention for ACE descriptors is given in :ref:`(Drautz) <Drautz19>`.
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In short, body order :math:`N`, angular character, radial character,
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and chemical elements in the *N-body* descriptor are encoded by :math:`\nu`.
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In the :doc:`pace pair_style <pair_pace>`, the linear model parameters
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and the ACE descriptors are combined for efficient evaluation of energies
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and forces. The details and benefits of this efficient implementation are
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given in :ref:`(Lysogorskiy) <Lysogorskiy21>`. et. al, but the combined
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descriptors and linear model parameters for the purposes of `compute pace`
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may be expressed in terms of the ACE descriptors mentioned above.
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:math:`c_{\boldsymbol{\nu}} B_{i,\boldsymbol{\nu}}= \sum_{\boldsymbol{\nu}' \in \boldsymbol{\nu} } \big[ c_{\boldsymbol{\nu}} C(\boldsymbol{\nu}') \big] A_{i,\boldsymbol{\nu}'}`
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where the bracketed terms on the right-hand side are the combined functions
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with linear model parameters typically provided in the `<name>.yace` potential
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file for `pace pair_style`. When these bracketed terms are multiplied by the
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products of the atomic base from :ref:`(Drautz) <Drautz19>`,
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:math:`A_{i,\boldsymbol{\nu'}}`, the ACE descriptors are recovered but they
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are also scaled by linear model parameters. The generalized coupling coefficients,
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written in short-hand here as :math:`C(\boldsymbol{\nu}')`, are the generalized
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Clebsch-Gordan or generalized Wigner symbols. It may be desirable to reverse the
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combination of these descriptors and the linear model parameters so that the
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ACE descriptors themselves may be used. The ACE descriptors and their gradients
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are often used when training ACE models, performing custom data analysis,
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generalizing ACE model forms, and other tasks that involve direct computation of
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descriptors. The key utility of `compute pace` is that it can compute the ACE
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descriptors and gradients so that these tasks can be performed during a LAMMPS
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simulation or so that LAMMPS can be used as a driver for tasks like ACE model
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parameterization. To see how this command can be used within a Python workflow
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to train ACE potentials, see the examples in
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`FitSNAP <https://github.com/FitSNAP/FitSNAP>`_. Examples on using outputs from
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this compute to construct general ACE potential forms are demonstrated in
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:ref:`(Goff) <Goff23>`. The various keywords and inputs to `compute pace`
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determine what ACE descriptors and related quantities are returned in a compute
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array.
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The coefficient file, `<name>.yace`, ultimately defines the number of ACE
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descriptors to be computed, their maximum body-order, the degree of angular
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character they have, the degree of radial character they have, the chemical
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character (which element-element interactions are encoded by descriptors),
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and other hyperparameters defined in :ref:`(Drautz) <Drautz19>`. These may
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be modeled after the potential files in :doc:`pace pair_style <pair_pace>`,
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and have the same format. Details on how to generate the coefficient files
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to train ACE models may be found in `FitSNAP <https://github.com/FitSNAP/FitSNAP>`_.
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The keyword *bikflag* determines whether or not to list the descriptors of
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each atom separately, or sum them together and list in a single row. If
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*bikflag* is set to *0* then a single descriptor row is used, which contains
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the per-atom ACE descriptors :math:`B_{i,\boldsymbol{\nu}}` summed over all
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atoms *i* to produce :math:`B_{\boldsymbol{\nu}}`. If *bikflag* is set to
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*1* this is replaced by a separate per-atom ACE descriptor row for each atom.
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In this case, the entries in the final column for these rows are set to zero.
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The keyword *dgradflag* determines whether to sum atom gradients or list
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them separately. If *dgradflag* is set to 0, the ACE
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descriptor gradients w.r.t. atom *j* are summed over all atoms *i'*
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of, which may be useful when training linear ACE models on atomic forces.
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If *dgradflag* is set to 1, gradients are listed separately for each pair of atoms.
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Each row corresponds
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to a single term :math:`\frac{\partial {B_{i,\boldsymbol{\nu}}}}{\partial {r}^a_j}`
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where :math:`{r}^a_j` is the *a-th* position coordinate of the atom with global
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index *j*. This also changes the number of columns to be equal to the number of
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ACE descriptors, with 3 additional columns representing the indices :math:`i`,
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:math:`j`, and :math:`a`, as explained more in the Output info section below.
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The option *dgradflag=1* requires that *bikflag=1*.
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.. note::
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It is noted here that in contrast to :doc:`pace pair_style <pair_pace>`,
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the *.yace* file for `compute pace` typically should not contain linear
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parameters for an ACE potential. If :math:`c_{\nu}` are included,
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the value of the descriptor will not be returned in the `compute` array,
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but instead, the energy contribution from that descriptor will be returned.
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Do not do this unless it is the desired behavior.
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*In short, you should not plug in a '.yace' for a pace potential into this
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compute to evaluate descriptors.*
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.. note::
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*Generalized Clebsch-Gordan or Generalized Wigner symbols (with appropriate
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factors) must be used to evaluate ACE descriptors with this compute.* There
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are multiple ways to define the generalized coupling coefficients. Because
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of this, this compute will not revert your potential file to a coupling
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coefficient file. Instead this compute allows the user to supply coupling
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coefficients that follow any convention.
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.. note::
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Using *dgradflag* = 1 produces a global array with :math:`N + 3N^2 + 1` rows
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which becomes expensive for systems with more than 1000 atoms.
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.. note::
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If you have a bonded system, then the settings of :doc:`special_bonds
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<special_bonds>` command can remove pairwise interactions between
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atoms in the same bond, angle, or dihedral. This is the default
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setting for the :doc:`special_bonds <special_bonds>` command, and
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means those pairwise interactions do not appear in the neighbor list.
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Because this fix uses the neighbor list, it also means those pairs
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will not be included in the calculation. One way to get around this,
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is to write a dump file, and use the :doc:`rerun <rerun>` command to
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compute the ACE descriptors for snapshots in the dump file.
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The rerun script can use a :doc:`special_bonds <special_bonds>`
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command that includes all pairs in the neighbor list.
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----------
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Output info
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"""""""""""
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Compute *pace* evaluates a global array. The columns are arranged into
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*ntypes* blocks, listed in order of atom type *I*\ . Each block contains
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one column for each ACE descriptor, the same as for compute
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*sna/atom*\ in :doc:`compute snap <compute_sna_atom>`. A final column contains the corresponding energy, force
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component on an atom, or virial stress component. The rows of the array
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appear in the following order:
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* 1 row: *pace* average descriptor values for all atoms of type *I*
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* 3\*\ *n* force rows: quantities, with derivatives w.r.t. x, y, and z coordinate of atom *i* appearing in consecutive rows. The atoms are sorted based on atom ID and run up to the total number of atoms, *n*.
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* 6 rows: *virial* quantities summed for all atoms of type *I*
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For example, if :math:`\# \; B_{i, \boldsymbol{\nu}}` =30 and ntypes=1, the number of columns in the
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The number of columns in the global array generated by *pace* are 31, and
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931, respectively, while the number of rows is 1+3\*\ *n*\ +6, where *n*
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is the total number of atoms.
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If the *bik* keyword is set to 1, the structure of the pace array is expanded.
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The first :math:`N` rows of the pace array
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correspond to :math:`\# \; B_{i,\boldsymbol{\nu}}` instead of a single row summed over atoms :math:`i`.
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In this case, the entries in the final column for these rows
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are set to zero. Also, each row contains only non-zero entries for the
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columns corresponding to the type of that atom. This is not true in the case
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of *dgradflag* keyword = 1 (see below).
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If the *dgradflag* keyword is set to 1, this changes the structure of the
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global array completely.
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Here the per-atom quantities are replaced with rows corresponding to
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descriptor gradient components on single atoms:
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.. math::
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\frac{\partial {B_{i,\boldsymbol{\nu}} }}{\partial {r}^a_j}
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where :math:`{r}^a_j` is the *a-th* position coordinate of the atom with global
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index *j*. The rows are
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organized in chunks, where each chunk corresponds to an atom with global index
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:math:`j`. The rows in an atom :math:`j` chunk correspond to
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atoms with global index :math:`i`. The total number of rows for
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these descriptor gradients is therefore :math:`3N^2`.
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The number of columns is equal to the number of ACE descriptors,
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plus 3 additional left-most columns representing the global atom indices
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:math:`i`, :math:`j`,
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and Cartesian direction :math:`a` (0, 1, 2, for x, y, z).
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The first 3 columns of the first :math:`N` rows belong to the reference
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potential force components. The remaining K columns contain the
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:math:`B_{i,\boldsymbol{\nu}}` per-atom descriptors corresponding to the non-zero entries
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obtained when *bikflag* = 1.
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The first column of the last row, after the first
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:math:`N + 3N^2` rows, contains the reference potential
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energy. The virial components are not used with this option. The total number of
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rows is therefore :math:`N + 3N^2 + 1` and the number of columns is :math:`K + 3`.
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These values can be accessed by any command that uses global values
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from a compute as input. See the :doc:`Howto output <Howto_output>` doc
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page for an overview of LAMMPS output options.
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Restrictions
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""""""""""""
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These computes are part of the ML-PACE package. They are only enabled
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if LAMMPS was built with that package. See the :doc:`Build package
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<Build_package>` page for more info.
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Related commands
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""""""""""""""""
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:doc:`pair_style pace <pair_pace>`
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:doc:`pair_style snap <pair_snap>`
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:doc:`compute snap <compute_sna_atom>`
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Default
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"""""""
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The optional keyword defaults are *bikflag* = 0,
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*dgradflag* = 0
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----------
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.. _Drautz19:
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**(Drautz)** Drautz, Phys Rev B, 99, 014104 (2019).
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.. _Lysogorskiy21:
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**(Lysogorskiy)** Lysogorskiy, van der Oord, Bochkarev, Menon, Rinaldi, Hammerschmidt, Mrovec, Thompson, Csanyi, Ortner, Drautz, npj Comp Mat, 7, 97 (2021).
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.. _Goff23:
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**(Goff)** Goff, Zhang, Negre, Rohskopf, Niklasson, Journal of Chemical Theory and Computation 19, no. 13 (2023).
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9
examples/PACKAGES/pace/README.md
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9
examples/PACKAGES/pace/README.md
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@ -0,0 +1,9 @@
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# This folder contains examples for pace in LAMMPS
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## Compute pace usage
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compute/latte_cell_0.data # lammps data file with C-H-O structure
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compute/latte_cell_0.xyz # xyz file with C-H-O structure
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compute/coupling_coefficients.yace # .yace file containing coupling coefficients (or ACE potential parameters)
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compute/in.compute # input file for calling `compute pace`
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294
examples/PACKAGES/pace/compute/coupling_coefficients.yace
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294
examples/PACKAGES/pace/compute/coupling_coefficients.yace
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@ -0,0 +1,294 @@
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elements: [H, N, O]
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E0: [0.000000, 0.000000, 0.000000]
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deltaSplineBins: 0.001000
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embeddings:
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0: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
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1: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
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2: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
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bonds:
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[0, 0]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.0, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[0, 1]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.5, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[0, 2]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[1, 0]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.5, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[1, 1]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 4.4, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[1, 2]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[2, 0]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[2, 1]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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[2, 2]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.5, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
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functions:
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0:
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- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
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- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
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- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
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- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
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- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
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- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
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- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 1], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 1], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [2, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 0], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
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|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
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|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
1:
|
||||
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 1], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 1], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [2, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 0], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
2:
|
||||
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 1], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 1], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [2, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 1], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
|
||||
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 0], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
- {mu0: 2, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
|
||||
22
examples/PACKAGES/pace/compute/in.compute
Normal file
22
examples/PACKAGES/pace/compute/in.compute
Normal file
@ -0,0 +1,22 @@
|
||||
#info all out log
|
||||
units metal
|
||||
atom_style atomic
|
||||
boundary p p p
|
||||
atom_modify map hash
|
||||
boundary p p p
|
||||
read_data latte_cell_0.data
|
||||
mass 1 1.00
|
||||
mass 2 14.00
|
||||
mass 3 15.999
|
||||
|
||||
# potential settings
|
||||
|
||||
pair_style zero 5.7
|
||||
pair_coeff * *
|
||||
|
||||
compute pace all pace coupling_coefficients.yace 1 0
|
||||
|
||||
thermo 1
|
||||
thermo_style custom step temp c_pace[1][183]
|
||||
|
||||
run 0
|
||||
172
examples/PACKAGES/pace/compute/latte_cell_0.data
Normal file
172
examples/PACKAGES/pace/compute/latte_cell_0.data
Normal file
@ -0,0 +1,172 @@
|
||||
latte_cell_0.data (written by ASE)
|
||||
|
||||
161 atoms
|
||||
3 atom types
|
||||
0.0 12 xlo xhi
|
||||
0.0 12 ylo yhi
|
||||
0.0 12 zlo zhi
|
||||
|
||||
|
||||
Atoms
|
||||
|
||||
1 3 1.2688096799999999 2.0079938400000001 2.7446829899999998
|
||||
2 1 1.5343068200000001 2.0638766500000001 3.7105626900000002
|
||||
3 1 1.7848279600000001 2.6755003400000001 2.2268847200000002
|
||||
4 1 1.56251195 1.1089126899999999 2.3978115199999999
|
||||
5 1 11.61728216 5.71881094 2.4732045999999999
|
||||
6 2 6.5501865600000002 4.7439566800000001 3.6526025500000001
|
||||
7 1 6.4564895299999998 4.1571673000000002 2.6975267999999999
|
||||
8 2 2.0835561 1.59406078 8.5498047600000007
|
||||
9 1 1.1041162499999999 1.4971771599999999 8.1507879200000009
|
||||
10 1 2.60115534 2.2945960400000001 7.95374187
|
||||
11 1 1.9817723300000001 2.0194066400000001 9.5128239400000005
|
||||
12 1 0.99333338000000004 3.6983907299999998 8.1903947899999991
|
||||
13 3 4.9484070999999998 5.3645501400000004 9.16152503
|
||||
14 1 9.0716170599999995 9.3748453999999999 4.2276462400000003
|
||||
15 2 0.30864418999999998 7.7136657499999997 2.9274995599999998
|
||||
16 1 0.47661671 10.1807211 3.71160091
|
||||
17 1 1.07465334 7.8226921999999997 3.5771466900000002
|
||||
18 1 0.38402249999999999 8.3770493300000002 2.1748437100000002
|
||||
19 1 11.435413410000001 7.7903735999999997 3.4040245499999999
|
||||
20 3 6.1570384599999999 10.25988474 3.50899568
|
||||
21 1 5.5932224399999999 9.5632944700000007 3.1446559000000001
|
||||
22 2 1.7785569000000001 7.6312579300000003 9.1488452299999992
|
||||
23 1 2.5594048599999999 6.96832838 9.3069700199999996
|
||||
24 1 2.12441551 8.4547986999999996 8.6428622900000001
|
||||
25 1 1.04552782 7.1697722800000001 8.5894244999999998
|
||||
26 1 0.34824445999999998 10.17844028 9.1629463799999993
|
||||
27 3 5.9638830399999998 10.723709400000001 9.4568803900000002
|
||||
28 1 6.5890835699999997 10.926486110000001 8.7981925800000003
|
||||
29 2 7.1065890400000002 1.83029753 3.3452543600000002
|
||||
30 1 6.9229304999999997 1.8465022099999999 4.3089037100000001
|
||||
31 1 8.0780433600000006 1.9303052199999999 3.2089521400000001
|
||||
32 1 5.6795373600000003 10.471831630000001 4.3244390499999996
|
||||
33 1 6.82999417 0.95850113000000003 2.9815288199999999
|
||||
34 2 11.383805349999999 4.6301225199999996 2.5393688399999998
|
||||
35 1 0.37927047000000003 4.1943216300000001 2.59073807
|
||||
36 3 5.2376410099999999 1.91523463 9.7240636400000007
|
||||
37 1 4.7887202499999999 2.7036936499999999 9.5698142300000004
|
||||
38 1 9.8129906699999996 9.2075140700000002 4.08265499
|
||||
39 1 4.7980879500000002 1.1403494700000001 9.6739962800000008
|
||||
40 1 5.4455845600000004 2.0102099999999998 10.620773509999999
|
||||
41 3 0.90954338999999995 4.6240093199999999 8.3108110600000007
|
||||
42 1 11.909735319999999 4.7483814000000004 8.2500624600000005
|
||||
43 2 7.3223424499999998 7.5866457 3.0245226500000002
|
||||
44 1 7.4470362200000002 8.3169646700000008 3.7148003300000001
|
||||
45 1 6.9073805300000002 7.9385021 2.1723768699999999
|
||||
46 1 5.5542868500000004 5.1176065800000003 3.7655251999999999
|
||||
47 1 6.8124309500000004 6.7778811599999997 3.3973232499999999
|
||||
48 2 0.29575823000000001 11.04303794 3.1016142499999999
|
||||
49 1 0.86490721999999998 11.83879228 3.6389974500000002
|
||||
50 3 6.85201686 8.0846369300000003 8.8762878799999996
|
||||
51 1 7.3351430100000004 7.4263498700000001 9.3821674799999997
|
||||
52 1 6.7919613300000004 7.7595477199999996 7.9716174799999999
|
||||
53 1 3.8990487699999998 6.4283490399999996 8.8832409600000002
|
||||
54 1 5.95997296 9.9329723199999993 9.4746654699999997
|
||||
55 3 11.403658979999999 10.371960359999999 9.2766092199999992
|
||||
56 1 10.983666360000001 9.5157199800000001 9.1478757300000009
|
||||
57 3 1.5223279700000001 5.3327331100000004 0.57537605999999997
|
||||
58 1 2.3815113999999999 5.7251991200000001 0.77945295999999997
|
||||
59 1 0.92079957000000001 6.0931282299999996 0.62203253000000003
|
||||
60 3 11.23490924 2.9153355200000002 6.7585064099999999
|
||||
61 1 10.792340190000001 2.9755225099999998 5.9000018399999998
|
||||
62 1 10.751242059999999 2.1896156000000002 7.1807401500000001
|
||||
63 3 11.39027944 7.3462855600000001 6.7258299499999996
|
||||
64 1 10.92025679 6.69831954 7.2776696599999999
|
||||
65 1 11.12238028 7.0632020999999998 5.8394107799999997
|
||||
66 3 8.4684319499999994 10.71736286 10.60018556
|
||||
67 1 8.5672201599999998 11.420466080000001 11.25794033
|
||||
68 1 9.0803109800000001 10.04804949 10.9406517
|
||||
69 3 6.5851757299999996 9.9940623399999993 6.5574614899999997
|
||||
70 1 7.0276325799999997 10.76096604 6.1723333699999996
|
||||
71 1 5.7419327400000002 10.384583920000001 6.8228822999999998
|
||||
72 3 1.7600546399999999 1.01771919 5.4926787700000004
|
||||
73 1 1.9704209100000001 1.01748419 6.4429703700000003
|
||||
74 1 1.42973007 0.11076352 5.3470644900000002
|
||||
75 1 2.61130613 9.7034123700000006 10.450306830000001
|
||||
76 3 3.05086908 10.48131334 10.085189310000001
|
||||
77 1 3.0032693199999998 10.93357295 9.3652121000000008
|
||||
78 3 6.4631532199999997 8.7652058299999993 11.967847969999999
|
||||
79 1 6.4506808400000004 9.6596595300000008 11.588956019999999
|
||||
80 1 5.6611629700000003 8.3535737700000006 11.638443329999999
|
||||
81 3 1.1745999300000001 5.2420690800000003 5.1001449699999997
|
||||
82 1 1.31932881 5.5236392399999996 6.0128966300000002
|
||||
83 1 0.58053834999999998 4.4898134599999997 5.2325565000000003
|
||||
84 3 6.7275549699999999 0.78840874999999999 7.3817280900000002
|
||||
85 1 6.3887965600000003 1.54670982 6.8634520400000003
|
||||
86 1 7.6791783999999996 0.94039024000000004 7.2649461000000004
|
||||
87 3 8.5476657199999995 0.0064750299999999997 5.0450514100000001
|
||||
88 1 8.8736290899999997 11.10484108 4.8601807900000003
|
||||
89 1 8.0477597599999999 0.20198361000000001 4.2357399400000002
|
||||
90 3 1.2895030000000001 8.4280097900000008 11.82038504
|
||||
91 1 1.4766666399999999 8.1087866399999999 10.87290333
|
||||
92 1 2.10220669 8.1947620200000006 0.29510553
|
||||
93 3 9.6797907599999995 6.4207335499999996 4.3469150599999997
|
||||
94 1 8.9271530099999996 6.72940235 3.7974122399999999
|
||||
95 1 10.20024126 5.9167739199999998 3.66976111
|
||||
96 3 3.57411616 6.7041021699999996 3.8825478499999999
|
||||
97 1 2.8894899500000002 6.1560529800000001 4.2980848099999998
|
||||
98 1 4.3613707699999997 6.4304732400000004 4.3804965400000002
|
||||
99 3 4.7506556 11.441853350000001 1.12537088
|
||||
100 1 4.0861192800000001 10.748523670000001 1.1923347099999999
|
||||
101 1 5.5035301600000004 10.965688249999999 0.73651277000000004
|
||||
102 3 9.5254526399999992 4.8994443900000002 8.3732284099999994
|
||||
103 1 8.7885959800000002 4.3508043900000004 8.6632831400000008
|
||||
104 1 9.6149067499999994 4.6084911499999999 7.4540068699999997
|
||||
105 3 4.1970746700000001 1.34592128 3.67401439
|
||||
106 1 4.9437011999999996 0.74406280999999996 3.514068
|
||||
107 1 4.1905534900000001 1.7730376000000001 2.7963049400000002
|
||||
108 3 1.88232618 11.95451227 0.60024434000000004
|
||||
109 1 2.0464587299999999 11.02454723 0.38329541
|
||||
110 1 1.1518493700000001 0.17494340999999999 11.99928285
|
||||
111 3 3.7593842199999998 11.01685511 6.4562050800000002
|
||||
112 1 3.2125414299999999 10.4553747 5.8894917099999997
|
||||
113 1 3.4166026899999999 10.821557670000001 7.3296563900000002
|
||||
114 3 9.7039841399999993 3.95001545 11.894743249999999
|
||||
115 1 10.461666060000001 3.9163117999999999 11.285435229999999
|
||||
116 1 10.09834695 4.4026997400000001 0.68193007999999999
|
||||
117 3 8.5639596400000002 3.5169507499999999 5.6224104199999996
|
||||
118 1 8.3966650299999994 2.6262214699999999 5.2638164300000003
|
||||
119 1 7.9695371399999999 4.0825059799999996 5.0049407400000003
|
||||
120 3 9.6736245000000007 0.48030482000000002 7.9257577799999996
|
||||
121 1 9.6131980400000003 11.883419180000001 7.1680923999999999
|
||||
122 1 9.9784050299999993 11.90238635 8.63894187
|
||||
123 3 3.9424153099999999 6.9650296699999998 11.60258943
|
||||
124 1 4.2767152700000004 6.8460048999999996 10.670225220000001
|
||||
125 1 4.6570638500000001 6.5129461500000003 0.091159879999999999
|
||||
126 3 3.0570173199999999 9.6631958499999993 3.6611250599999998
|
||||
127 1 2.5400490100000002 9.5743355000000001 2.8444047600000002
|
||||
128 1 2.9314874400000002 8.7809807200000005 4.0425234200000002
|
||||
129 3 7.4549612700000001 5.8430850799999998 11.011384720000001
|
||||
130 1 8.1675884100000005 5.4639182799999997 10.47644287
|
||||
131 1 6.7135573700000002 5.8393818399999997 10.361099749999999
|
||||
132 3 9.8029139300000008 7.9578901699999998 10.21404942
|
||||
133 1 10.38910242 8.3400641400000008 10.87949429
|
||||
134 1 9.0637612000000001 7.6392374099999998 10.756928869999999
|
||||
135 3 4.4963435599999997 4.1067935799999997 11.73387805
|
||||
136 1 4.5473727899999998 4.9577970899999997 11.19223377
|
||||
137 1 5.3588818399999996 4.1756111699999998 0.20355936999999999
|
||||
138 3 9.5923448100000002 7.3418014600000001 1.34856172
|
||||
139 1 8.8715593300000002 7.4776837199999999 2.05040471
|
||||
140 1 9.0443221699999992 7.2732200799999998 0.54011714
|
||||
141 3 7.0350963100000001 3.22348773 0.7070824
|
||||
142 1 7.1784470499999999 4.1340314300000003 1.0184109699999999
|
||||
143 1 7.7787854400000001 2.7888888399999998 1.15838887
|
||||
144 3 9.2124107800000008 0.48085899999999998 1.21751966
|
||||
145 1 9.6620436499999993 11.657271079999999 1.45318397
|
||||
146 1 9.9404883900000005 1.11619136 1.18684594
|
||||
147 3 1.19704207 9.5859959200000002 6.6190888899999996
|
||||
148 1 0.25606413 9.6737366500000004 6.8319340899999998
|
||||
149 1 1.2690051899999999 8.6249354900000004 6.5480112500000001
|
||||
150 3 0.78256133999999999 2.6040609300000002 11.453408359999999
|
||||
151 1 0.61502181 3.5607405999999999 11.40300991
|
||||
152 1 1.55655312 2.5457368800000002 10.866733030000001
|
||||
153 3 5.8627936099999998 7.1217054800000001 5.89173203
|
||||
154 1 6.3432410700000004 7.9400136699999999 6.0855840299999997
|
||||
155 1 5.5077296699999998 6.8468306800000001 6.7436875799999996
|
||||
156 3 10.887828150000001 9.9637482500000001 0.51092815999999996
|
||||
157 1 11.78841776 10.322043069999999 0.44704989000000001
|
||||
158 1 11.02688182 9.2051906700000004 1.0976661299999999
|
||||
159 3 3.93073389 4.1645674499999998 5.7137877000000001
|
||||
160 1 4.6884062999999996 3.5788913299999998 5.5644605800000004
|
||||
161 1 4.2956948500000003 4.7644888099999996 6.3801669700000003
|
||||
163
examples/PACKAGES/pace/compute/latte_cell_0.xyz
Normal file
163
examples/PACKAGES/pace/compute/latte_cell_0.xyz
Normal file
@ -0,0 +1,163 @@
|
||||
161
|
||||
Lattice="12.0 0.0 0.0 0.0 12.0 0.0 0.0 0.0 12.0" Properties=species:S:1:pos:R:3 pbc="T T T"
|
||||
O 1.26880968 2.00799384 2.74468299
|
||||
H 1.53430682 2.06387665 3.71056269
|
||||
H 1.78482796 2.67550034 2.22688472
|
||||
H 1.56251195 1.10891269 2.39781152
|
||||
H 11.61728216 5.71881094 2.47320460
|
||||
N 6.55018656 4.74395668 3.65260255
|
||||
H 6.45648953 4.15716730 2.69752680
|
||||
N 2.08355610 1.59406078 8.54980476
|
||||
H 1.10411625 1.49717716 8.15078792
|
||||
H 2.60115534 2.29459604 7.95374187
|
||||
H 1.98177233 2.01940664 9.51282394
|
||||
H 0.99333338 3.69839073 8.19039479
|
||||
O 4.94840710 5.36455014 9.16152503
|
||||
H 9.07161706 9.37484540 4.22764624
|
||||
N 0.30864419 7.71366575 2.92749956
|
||||
H 0.47661671 10.18072110 3.71160091
|
||||
H 1.07465334 7.82269220 3.57714669
|
||||
H 0.38402250 8.37704933 2.17484371
|
||||
H 11.43541341 7.79037360 3.40402455
|
||||
O 6.15703846 10.25988474 3.50899568
|
||||
H 5.59322244 9.56329447 3.14465590
|
||||
N 1.77855690 7.63125793 9.14884523
|
||||
H 2.55940486 6.96832838 9.30697002
|
||||
H 2.12441551 8.45479870 8.64286229
|
||||
H 1.04552782 7.16977228 8.58942450
|
||||
H 0.34824446 10.17844028 9.16294638
|
||||
O 5.96388304 10.72370940 9.45688039
|
||||
H 6.58908357 10.92648611 8.79819258
|
||||
N 7.10658904 1.83029753 3.34525436
|
||||
H 6.92293050 1.84650221 4.30890371
|
||||
H 8.07804336 1.93030522 3.20895214
|
||||
H 5.67953736 10.47183163 4.32443905
|
||||
H 6.82999417 0.95850113 2.98152882
|
||||
N 11.38380535 4.63012252 2.53936884
|
||||
H 0.37927047 4.19432163 2.59073807
|
||||
O 5.23764101 1.91523463 9.72406364
|
||||
H 4.78872025 2.70369365 9.56981423
|
||||
H 9.81299067 9.20751407 4.08265499
|
||||
H 4.79808795 1.14034947 9.67399628
|
||||
H 5.44558456 2.01021000 10.62077351
|
||||
O 0.90954339 4.62400932 8.31081106
|
||||
H 11.90973532 4.74838140 8.25006246
|
||||
N 7.32234245 7.58664570 3.02452265
|
||||
H 7.44703622 8.31696467 3.71480033
|
||||
H 6.90738053 7.93850210 2.17237687
|
||||
H 5.55428685 5.11760658 3.76552520
|
||||
H 6.81243095 6.77788116 3.39732325
|
||||
N 0.29575823 11.04303794 3.10161425
|
||||
H 0.86490722 11.83879228 3.63899745
|
||||
O 6.85201686 8.08463693 8.87628788
|
||||
H 7.33514301 7.42634987 9.38216748
|
||||
H 6.79196133 7.75954772 7.97161748
|
||||
H 3.89904877 6.42834904 8.88324096
|
||||
H 5.95997296 9.93297232 9.47466547
|
||||
O 11.40365898 10.37196036 9.27660922
|
||||
H 10.98366636 9.51571998 9.14787573
|
||||
O 1.52232797 5.33273311 0.57537606
|
||||
H 2.38151140 5.72519912 0.77945296
|
||||
H 0.92079957 6.09312823 0.62203253
|
||||
O 11.23490924 2.91533552 6.75850641
|
||||
H 10.79234019 2.97552251 5.90000184
|
||||
H 10.75124206 2.18961560 7.18074015
|
||||
O 11.39027944 7.34628556 6.72582995
|
||||
H 10.92025679 6.69831954 7.27766966
|
||||
H 11.12238028 7.06320210 5.83941078
|
||||
O 8.46843195 10.71736286 10.60018556
|
||||
H 8.56722016 11.42046608 11.25794033
|
||||
H 9.08031098 10.04804949 10.94065170
|
||||
O 6.58517573 9.99406234 6.55746149
|
||||
H 7.02763258 10.76096604 6.17233337
|
||||
H 5.74193274 10.38458392 6.82288230
|
||||
O 1.76005464 1.01771919 5.49267877
|
||||
H 1.97042091 1.01748419 6.44297037
|
||||
H 1.42973007 0.11076352 5.34706449
|
||||
H 2.61130613 9.70341237 10.45030683
|
||||
O 3.05086908 10.48131334 10.08518931
|
||||
H 3.00326932 10.93357295 9.36521210
|
||||
O 6.46315322 8.76520583 11.96784797
|
||||
H 6.45068084 9.65965953 11.58895602
|
||||
H 5.66116297 8.35357377 11.63844333
|
||||
O 1.17459993 5.24206908 5.10014497
|
||||
H 1.31932881 5.52363924 6.01289663
|
||||
H 0.58053835 4.48981346 5.23255650
|
||||
O 6.72755497 0.78840875 7.38172809
|
||||
H 6.38879656 1.54670982 6.86345204
|
||||
H 7.67917840 0.94039024 7.26494610
|
||||
O 8.54766572 0.00647503 5.04505141
|
||||
H 8.87362909 11.10484108 4.86018079
|
||||
H 8.04775976 0.20198361 4.23573994
|
||||
O 1.28950300 8.42800979 11.82038504
|
||||
H 1.47666664 8.10878664 10.87290333
|
||||
H 2.10220669 8.19476202 0.29510553
|
||||
O 9.67979076 6.42073355 4.34691506
|
||||
H 8.92715301 6.72940235 3.79741224
|
||||
H 10.20024126 5.91677392 3.66976111
|
||||
O 3.57411616 6.70410217 3.88254785
|
||||
H 2.88948995 6.15605298 4.29808481
|
||||
H 4.36137077 6.43047324 4.38049654
|
||||
O 4.75065560 11.44185335 1.12537088
|
||||
H 4.08611928 10.74852367 1.19233471
|
||||
H 5.50353016 10.96568825 0.73651277
|
||||
O 9.52545264 4.89944439 8.37322841
|
||||
H 8.78859598 4.35080439 8.66328314
|
||||
H 9.61490675 4.60849115 7.45400687
|
||||
O 4.19707467 1.34592128 3.67401439
|
||||
H 4.94370120 0.74406281 3.51406800
|
||||
H 4.19055349 1.77303760 2.79630494
|
||||
O 1.88232618 11.95451227 0.60024434
|
||||
H 2.04645873 11.02454723 0.38329541
|
||||
H 1.15184937 0.17494341 11.99928285
|
||||
O 3.75938422 11.01685511 6.45620508
|
||||
H 3.21254143 10.45537470 5.88949171
|
||||
H 3.41660269 10.82155767 7.32965639
|
||||
O 9.70398414 3.95001545 11.89474325
|
||||
H 10.46166606 3.91631180 11.28543523
|
||||
H 10.09834695 4.40269974 0.68193008
|
||||
O 8.56395964 3.51695075 5.62241042
|
||||
H 8.39666503 2.62622147 5.26381643
|
||||
H 7.96953714 4.08250598 5.00494074
|
||||
O 9.67362450 0.48030482 7.92575778
|
||||
H 9.61319804 11.88341918 7.16809240
|
||||
H 9.97840503 11.90238635 8.63894187
|
||||
O 3.94241531 6.96502967 11.60258943
|
||||
H 4.27671527 6.84600490 10.67022522
|
||||
H 4.65706385 6.51294615 0.09115988
|
||||
O 3.05701732 9.66319585 3.66112506
|
||||
H 2.54004901 9.57433550 2.84440476
|
||||
H 2.93148744 8.78098072 4.04252342
|
||||
O 7.45496127 5.84308508 11.01138472
|
||||
H 8.16758841 5.46391828 10.47644287
|
||||
H 6.71355737 5.83938184 10.36109975
|
||||
O 9.80291393 7.95789017 10.21404942
|
||||
H 10.38910242 8.34006414 10.87949429
|
||||
H 9.06376120 7.63923741 10.75692887
|
||||
O 4.49634356 4.10679358 11.73387805
|
||||
H 4.54737279 4.95779709 11.19223377
|
||||
H 5.35888184 4.17561117 0.20355937
|
||||
O 9.59234481 7.34180146 1.34856172
|
||||
H 8.87155933 7.47768372 2.05040471
|
||||
H 9.04432217 7.27322008 0.54011714
|
||||
O 7.03509631 3.22348773 0.70708240
|
||||
H 7.17844705 4.13403143 1.01841097
|
||||
H 7.77878544 2.78888884 1.15838887
|
||||
O 9.21241078 0.48085900 1.21751966
|
||||
H 9.66204365 11.65727108 1.45318397
|
||||
H 9.94048839 1.11619136 1.18684594
|
||||
O 1.19704207 9.58599592 6.61908889
|
||||
H 0.25606413 9.67373665 6.83193409
|
||||
H 1.26900519 8.62493549 6.54801125
|
||||
O 0.78256134 2.60406093 11.45340836
|
||||
H 0.61502181 3.56074060 11.40300991
|
||||
H 1.55655312 2.54573688 10.86673303
|
||||
O 5.86279361 7.12170548 5.89173203
|
||||
H 6.34324107 7.94001367 6.08558403
|
||||
H 5.50772967 6.84683068 6.74368758
|
||||
O 10.88782815 9.96374825 0.51092816
|
||||
H 11.78841776 10.32204307 0.44704989
|
||||
H 11.02688182 9.20519067 1.09766613
|
||||
O 3.93073389 4.16456745 5.71378770
|
||||
H 4.68840630 3.57889133 5.56446058
|
||||
H 4.29569485 4.76448881 6.38016697
|
||||
81
examples/PACKAGES/pace/compute/log.5Dec23.compute.g++.1
Normal file
81
examples/PACKAGES/pace/compute/log.5Dec23.compute.g++.1
Normal file
@ -0,0 +1,81 @@
|
||||
LAMMPS (21 Nov 2023)
|
||||
OMP_NUM_THREADS environment is not set. Defaulting to 1 thread. (src/comm.cpp:98)
|
||||
using 1 OpenMP thread(s) per MPI task
|
||||
#info all out log
|
||||
units metal
|
||||
atom_style atomic
|
||||
boundary p p p
|
||||
atom_modify map hash
|
||||
boundary p p p
|
||||
read_data latte_cell_0.data
|
||||
Reading data file ...
|
||||
orthogonal box = (0 0 0) to (12 12 12)
|
||||
1 by 1 by 1 MPI processor grid
|
||||
reading atoms ...
|
||||
161 atoms
|
||||
read_data CPU = 0.001 seconds
|
||||
mass 1 1.00
|
||||
mass 2 14.00
|
||||
mass 3 15.999
|
||||
|
||||
# potential settings
|
||||
|
||||
pair_style zero 5.7
|
||||
pair_coeff * *
|
||||
|
||||
compute pace all pace coupling_coefficients.yace 1 0
|
||||
|
||||
thermo 1
|
||||
thermo_style custom step temp c_pace[1][183]
|
||||
|
||||
run 0
|
||||
WARNING: No fixes with time integration, atoms won't move (src/verlet.cpp:60)
|
||||
Generated 0 of 3 mixed pair_coeff terms from geometric mixing rule
|
||||
Neighbor list info ...
|
||||
update: every = 1 steps, delay = 0 steps, check = yes
|
||||
max neighbors/atom: 2000, page size: 100000
|
||||
master list distance cutoff = 7.7
|
||||
ghost atom cutoff = 7.7
|
||||
binsize = 3.85, bins = 4 4 4
|
||||
2 neighbor lists, perpetual/occasional/extra = 1 1 0
|
||||
(1) pair zero, perpetual
|
||||
attributes: half, newton on
|
||||
pair build: half/bin/atomonly/newton
|
||||
stencil: half/bin/3d
|
||||
bin: standard
|
||||
(2) compute pace, occasional
|
||||
attributes: full, newton on
|
||||
pair build: full/bin/atomonly
|
||||
stencil: full/bin/3d
|
||||
bin: standard
|
||||
Per MPI rank memory allocation (min/avg/max) = 6.993 | 6.993 | 6.993 Mbytes
|
||||
Step Temp c_pace[1][183]
|
||||
0 0 8.6885642
|
||||
Loop time of 1.217e-06 on 1 procs for 0 steps with 161 atoms
|
||||
|
||||
164.3% CPU use with 1 MPI tasks x 1 OpenMP threads
|
||||
|
||||
MPI task timing breakdown:
|
||||
Section | min time | avg time | max time |%varavg| %total
|
||||
---------------------------------------------------------------
|
||||
Pair | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Neigh | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Comm | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Output | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Modify | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Other | | 1.217e-06 | | |100.00
|
||||
|
||||
Nlocal: 161 ave 161 max 161 min
|
||||
Histogram: 1 0 0 0 0 0 0 0 0 0
|
||||
Nghost: 1754 ave 1754 max 1754 min
|
||||
Histogram: 1 0 0 0 0 0 0 0 0 0
|
||||
Neighs: 14230 ave 14230 max 14230 min
|
||||
Histogram: 1 0 0 0 0 0 0 0 0 0
|
||||
FullNghs: 28460 ave 28460 max 28460 min
|
||||
Histogram: 1 0 0 0 0 0 0 0 0 0
|
||||
|
||||
Total # of neighbors = 28460
|
||||
Ave neighs/atom = 176.77019
|
||||
Neighbor list builds = 0
|
||||
Dangerous builds = 0
|
||||
Total wall time: 0:00:00
|
||||
81
examples/PACKAGES/pace/compute/log.5Dec23.compute.g++.4
Normal file
81
examples/PACKAGES/pace/compute/log.5Dec23.compute.g++.4
Normal file
@ -0,0 +1,81 @@
|
||||
LAMMPS (21 Nov 2023)
|
||||
OMP_NUM_THREADS environment is not set. Defaulting to 1 thread. (src/comm.cpp:98)
|
||||
using 1 OpenMP thread(s) per MPI task
|
||||
#info all out log
|
||||
units metal
|
||||
atom_style atomic
|
||||
boundary p p p
|
||||
atom_modify map hash
|
||||
boundary p p p
|
||||
read_data latte_cell_0.data
|
||||
Reading data file ...
|
||||
orthogonal box = (0 0 0) to (12 12 12)
|
||||
1 by 2 by 2 MPI processor grid
|
||||
reading atoms ...
|
||||
161 atoms
|
||||
read_data CPU = 0.001 seconds
|
||||
mass 1 1.00
|
||||
mass 2 14.00
|
||||
mass 3 15.999
|
||||
|
||||
# potential settings
|
||||
|
||||
pair_style zero 5.7
|
||||
pair_coeff * *
|
||||
|
||||
compute pace all pace coupling_coefficients.yace 1 0
|
||||
|
||||
thermo 1
|
||||
thermo_style custom step temp c_pace[1][183]
|
||||
|
||||
run 0
|
||||
WARNING: No fixes with time integration, atoms won't move (src/verlet.cpp:60)
|
||||
Generated 0 of 3 mixed pair_coeff terms from geometric mixing rule
|
||||
Neighbor list info ...
|
||||
update: every = 1 steps, delay = 0 steps, check = yes
|
||||
max neighbors/atom: 2000, page size: 100000
|
||||
master list distance cutoff = 7.7
|
||||
ghost atom cutoff = 7.7
|
||||
binsize = 3.85, bins = 4 4 4
|
||||
2 neighbor lists, perpetual/occasional/extra = 1 1 0
|
||||
(1) pair zero, perpetual
|
||||
attributes: half, newton on
|
||||
pair build: half/bin/atomonly/newton
|
||||
stencil: half/bin/3d
|
||||
bin: standard
|
||||
(2) compute pace, occasional
|
||||
attributes: full, newton on
|
||||
pair build: full/bin/atomonly
|
||||
stencil: full/bin/3d
|
||||
bin: standard
|
||||
Per MPI rank memory allocation (min/avg/max) = 6.97 | 6.97 | 6.971 Mbytes
|
||||
Step Temp c_pace[1][183]
|
||||
0 0 8.6885642
|
||||
Loop time of 1.979e-06 on 4 procs for 0 steps with 161 atoms
|
||||
|
||||
164.2% CPU use with 4 MPI tasks x 1 OpenMP threads
|
||||
|
||||
MPI task timing breakdown:
|
||||
Section | min time | avg time | max time |%varavg| %total
|
||||
---------------------------------------------------------------
|
||||
Pair | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Neigh | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Comm | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Output | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Modify | 0 | 0 | 0 | 0.0 | 0.00
|
||||
Other | | 1.979e-06 | | |100.00
|
||||
|
||||
Nlocal: 40.25 ave 44 max 35 min
|
||||
Histogram: 1 0 0 0 1 0 0 0 1 1
|
||||
Nghost: 1134.5 ave 1159 max 1117 min
|
||||
Histogram: 1 1 0 0 1 0 0 0 0 1
|
||||
Neighs: 3557.5 ave 4115 max 3189 min
|
||||
Histogram: 2 0 0 0 0 1 0 0 0 1
|
||||
FullNghs: 7115 ave 7755 max 6158 min
|
||||
Histogram: 1 0 0 0 1 0 0 0 0 2
|
||||
|
||||
Total # of neighbors = 28460
|
||||
Ave neighs/atom = 176.77019
|
||||
Neighbor list builds = 0
|
||||
Dangerous builds = 0
|
||||
Total wall time: 0:00:00
|
||||
2
src/.gitignore
vendored
2
src/.gitignore
vendored
@ -100,6 +100,8 @@
|
||||
/lepton_utils.cpp
|
||||
/lepton_utils.h
|
||||
|
||||
/compute_pace.cpp
|
||||
/compute_pace.h
|
||||
/pair_pace.cpp
|
||||
/pair_pace.h
|
||||
/pair_pace_extrapolation.cpp
|
||||
|
||||
496
src/ML-PACE/compute_pace.cpp
Normal file
496
src/ML-PACE/compute_pace.cpp
Normal file
@ -0,0 +1,496 @@
|
||||
// clang-format off
|
||||
/* ----------------------------------------------------------------------
|
||||
LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
|
||||
https://www.lammps.org/, Sandia National Laboratories
|
||||
LAMMPS Development team: developers@lammps.org
|
||||
Copyright (2003) Sandia Corporation. Under the terms of Contract
|
||||
DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
|
||||
certain rights in this software. This software is distributed under
|
||||
the GNU General Public License.
|
||||
See the README file in the top-level LAMMPS directory.
|
||||
------------------------------------------------------------------------- */
|
||||
|
||||
#include "compute_pace.h"
|
||||
#include "ace-evaluator/ace_evaluator.h"
|
||||
#include "ace-evaluator/ace_c_basis.h"
|
||||
#include "ace-evaluator/ace_abstract_basis.h"
|
||||
#include "ace-evaluator/ace_types.h"
|
||||
#include <cstring>
|
||||
#include <map>
|
||||
|
||||
#include "atom.h"
|
||||
#include "update.h"
|
||||
#include "modify.h"
|
||||
#include "neighbor.h"
|
||||
#include "neigh_list.h"
|
||||
#include "neigh_request.h"
|
||||
#include "force.h"
|
||||
#include "pair.h"
|
||||
#include "comm.h"
|
||||
#include "memory.h"
|
||||
#include "error.h"
|
||||
|
||||
namespace LAMMPS_NS {
|
||||
struct ACECimpl {
|
||||
ACECimpl() : basis_set(nullptr), ace(nullptr) {}
|
||||
~ACECimpl()
|
||||
{
|
||||
delete basis_set;
|
||||
delete ace;
|
||||
}
|
||||
ACECTildeBasisSet *basis_set;
|
||||
ACECTildeEvaluator *ace;
|
||||
};
|
||||
}
|
||||
|
||||
using namespace LAMMPS_NS;
|
||||
|
||||
enum{SCALAR,VECTOR,ARRAY};
|
||||
ComputePACE::ComputePACE(LAMMPS *lmp, int narg, char **arg) :
|
||||
Compute(lmp, narg, arg), cutsq(nullptr), list(nullptr), pace(nullptr),
|
||||
paceall(nullptr), pace_peratom(nullptr), map(nullptr), cg(nullptr)
|
||||
{
|
||||
array_flag = 1;
|
||||
extarray = 0;
|
||||
bikflag = 0;
|
||||
dgradflag = 0;
|
||||
|
||||
int ntypes = atom->ntypes;
|
||||
int nargmin = 4;
|
||||
|
||||
acecimpl = new ACECimpl;
|
||||
if (narg < nargmin) error->all(FLERR,"Illegal compute pace command");
|
||||
|
||||
bikflag = utils::inumeric(FLERR, arg[4], false, lmp);
|
||||
dgradflag = utils::inumeric(FLERR, arg[5], false, lmp);
|
||||
if (dgradflag && !bikflag)
|
||||
error->all(FLERR,"Illegal compute pace command: dgradflag=1 requires bikflag=1");
|
||||
|
||||
memory->create(map,ntypes+1,"pace:map");
|
||||
|
||||
//read in file with CG coefficients or c_tilde coefficients
|
||||
|
||||
auto potential_file_name = utils::get_potential_file_path(arg[3]);
|
||||
delete acecimpl -> basis_set;
|
||||
acecimpl -> basis_set = new ACECTildeBasisSet(potential_file_name);
|
||||
double cut = acecimpl -> basis_set->cutoffmax;
|
||||
cutmax = acecimpl -> basis_set->cutoffmax;
|
||||
double cuti;
|
||||
double radelemall = 0.5;
|
||||
|
||||
//# of rank 1, rank > 1 functions
|
||||
|
||||
int n_r1, n_rp = 0;
|
||||
n_r1 = acecimpl -> basis_set->total_basis_size_rank1[0];
|
||||
n_rp = acecimpl -> basis_set->total_basis_size[0];
|
||||
|
||||
int ncoeff = n_r1 + n_rp;
|
||||
|
||||
//int nvalues = ncoeff;
|
||||
|
||||
nvalues = ncoeff;
|
||||
|
||||
//-----------------------------------------------------------
|
||||
//nperdim = ncoeff;
|
||||
|
||||
ndims_force = 3;
|
||||
ndims_virial = 6;
|
||||
bik_rows = 1;
|
||||
yoffset = nvalues; //nperdim;
|
||||
zoffset = 2*nvalues; //nperdim;
|
||||
natoms = atom->natoms;
|
||||
if (bikflag) bik_rows = natoms;
|
||||
dgrad_rows = ndims_force*natoms;
|
||||
size_array_rows = bik_rows+dgrad_rows + ndims_virial;
|
||||
if (dgradflag) {
|
||||
size_array_rows = bik_rows + 3*natoms*natoms + 1;
|
||||
size_array_cols = nvalues + 3;
|
||||
if (comm->me == 0)
|
||||
error->warning(FLERR,"dgradflag=1 creates a N^2 array, beware of large systems.");
|
||||
} else size_array_cols = nvalues*atom->ntypes + 1;
|
||||
lastcol = size_array_cols-1;
|
||||
|
||||
ndims_peratom = ndims_force;
|
||||
size_peratom = ndims_peratom*nvalues*atom->ntypes;
|
||||
|
||||
nmax = 0;
|
||||
}
|
||||
|
||||
/* ---------------------------------------------------------------------- */
|
||||
|
||||
ComputePACE::~ComputePACE()
|
||||
{
|
||||
delete acecimpl;
|
||||
memory->destroy(pace);
|
||||
memory->destroy(paceall);
|
||||
memory->destroy(cutsq);
|
||||
memory->destroy(pace_peratom);
|
||||
memory->destroy(map);
|
||||
}
|
||||
|
||||
/* ---------------------------------------------------------------------- */
|
||||
|
||||
void ComputePACE::init()
|
||||
{
|
||||
if (force->pair == nullptr)
|
||||
error->all(FLERR,"Compute pace requires a pair style be defined");
|
||||
|
||||
if (cutmax > force->pair->cutforce)
|
||||
error->all(FLERR,"Compute pace cutoff is longer than pairwise cutoff");
|
||||
|
||||
// need an occasional full neighbor list
|
||||
neighbor->add_request(this, NeighConst::REQ_FULL | NeighConst::REQ_OCCASIONAL);
|
||||
|
||||
int count = 0;
|
||||
for (int i = 0; i < modify->ncompute; i++)
|
||||
if (strcmp(modify->compute[i]->style,"pace") == 0) count++;
|
||||
if (count > 1 && comm->me == 0)
|
||||
error->warning(FLERR,"More than one compute pace");
|
||||
|
||||
// allocate memory for global array
|
||||
memory->create(pace,size_array_rows,size_array_cols, "pace:pace");
|
||||
memory->create(paceall,size_array_rows,size_array_cols, "pace:paceall");
|
||||
array = paceall;
|
||||
|
||||
// find compute for reference energy
|
||||
|
||||
std::string id_pe = std::string("thermo_pe");
|
||||
int ipe = modify->find_compute(id_pe);
|
||||
if (ipe == -1)
|
||||
error->all(FLERR,"compute thermo_pe does not exist.");
|
||||
c_pe = modify->compute[ipe];
|
||||
|
||||
// add compute for reference virial tensor
|
||||
|
||||
std::string id_virial = std::string("pace_press");
|
||||
std::string pcmd = id_virial + " all pressure NULL virial";
|
||||
modify->add_compute(pcmd);
|
||||
|
||||
int ivirial = modify->find_compute(id_virial);
|
||||
if (ivirial == -1)
|
||||
error->all(FLERR,"compute pace_press does not exist.");
|
||||
c_virial = modify->compute[ivirial];
|
||||
}
|
||||
|
||||
/* ---------------------------------------------------------------------- */
|
||||
|
||||
void ComputePACE::init_list(int /*id*/, NeighList *ptr)
|
||||
{
|
||||
list = ptr;
|
||||
}
|
||||
|
||||
/* ---------------------------------------------------------------------- */
|
||||
|
||||
void ComputePACE::compute_array()
|
||||
{
|
||||
int ntotal = atom->nlocal + atom->nghost;
|
||||
double **f = atom->f;
|
||||
invoked_array = update->ntimestep;
|
||||
|
||||
// grow pace_peratom array if necessary
|
||||
|
||||
if (atom->nmax > nmax) {
|
||||
memory->destroy(pace_peratom);
|
||||
nmax = atom->nmax;
|
||||
memory->create(pace_peratom,nmax,size_peratom,"pace:pace_peratom");
|
||||
}
|
||||
|
||||
// clear global array
|
||||
|
||||
for (int irow = 0; irow < size_array_rows; irow++){
|
||||
for (int icoeff = 0; icoeff < size_array_cols; icoeff++){
|
||||
pace[irow][icoeff] = 0.0;
|
||||
}
|
||||
}
|
||||
|
||||
// clear local peratom array
|
||||
|
||||
for (int i = 0; i < ntotal; i++){
|
||||
for (int icoeff = 0; icoeff < size_peratom; icoeff++) {
|
||||
pace_peratom[i][icoeff] = 0.0;
|
||||
}
|
||||
}
|
||||
|
||||
// invoke full neighbor list (will copy or build if necessary)
|
||||
|
||||
neighbor->build_one(list);
|
||||
SPECIES_TYPE *mus;
|
||||
NS_TYPE *ns;
|
||||
LS_TYPE *ls;
|
||||
|
||||
const int inum = list->inum;
|
||||
const int* const ilist = list->ilist;
|
||||
const int* const numneigh = list->numneigh;
|
||||
int** const firstneigh = list->firstneigh;
|
||||
int * const type = atom->type;
|
||||
|
||||
//determine the maximum number of neighbours
|
||||
int max_jnum = -1;
|
||||
int nei = 0;
|
||||
int jtmp =0;
|
||||
for (int iitmp = 0; iitmp < list->inum; iitmp++) {
|
||||
int itmp = ilist[iitmp];
|
||||
jtmp = numneigh[itmp];
|
||||
nei = nei + jtmp;
|
||||
if (jtmp > max_jnum){
|
||||
max_jnum = jtmp;
|
||||
}
|
||||
}
|
||||
|
||||
// compute pace derivatives for each atom in group
|
||||
// use full neighbor list to count atoms less than cutoff
|
||||
|
||||
double** const x = atom->x;
|
||||
const int* const mask = atom->mask;
|
||||
const int ntypes = atom->ntypes;
|
||||
|
||||
for (int ii = 0; ii < inum; ii++) {
|
||||
int irow = 0;
|
||||
if (bikflag) irow = atom->tag[ilist[ii] & NEIGHMASK]-1;
|
||||
const int i = ilist[ii];
|
||||
if (mask[i] & groupbit) {
|
||||
const int itype = type[i];
|
||||
const int* const jlist = firstneigh[i];
|
||||
const int jnum = numneigh[i];
|
||||
const int typeoffset_local = ndims_peratom*nvalues*(itype-1);
|
||||
const int typeoffset_global = nvalues*(itype-1);
|
||||
|
||||
delete acecimpl -> ace;
|
||||
acecimpl -> ace = new ACECTildeEvaluator(*acecimpl -> basis_set);
|
||||
acecimpl -> ace->compute_projections = 1;
|
||||
acecimpl -> ace->compute_b_grad = 1;
|
||||
int n_r1, n_rp = 0;
|
||||
n_r1 = acecimpl -> basis_set->total_basis_size_rank1[0];
|
||||
n_rp = acecimpl -> basis_set->total_basis_size[0];
|
||||
|
||||
int ncoeff = n_r1 + n_rp;
|
||||
acecimpl -> ace->element_type_mapping.init(ntypes+1);
|
||||
for (int ik = 1; ik <= ntypes; ik++) {
|
||||
for(int mu = 0; mu < acecimpl -> basis_set ->nelements; mu++){
|
||||
if (mu != -1) {
|
||||
if (mu == ik - 1) {
|
||||
map[ik] = mu;
|
||||
acecimpl -> ace->element_type_mapping(ik) = mu;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if (dgradflag) {
|
||||
|
||||
// dBi/dRi tags
|
||||
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 0][0] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 0][1] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 0][2] = 0;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 1][0] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 1][1] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 1][2] = 1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 2][0] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 2][1] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 2][2] = 2;
|
||||
|
||||
// dBi/dRj tags
|
||||
|
||||
for (int j=0; j<natoms; j++) {
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 0][0] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 0][1] = j;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 0][2] = 0;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 1][0] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 1][1] = j;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 1][2] = 1;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 2][0] = atom->tag[i]-1;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 2][1] = j;
|
||||
pace[bik_rows + ((j)*3*natoms) + 3*(atom->tag[i]-1) + 2][2] = 2;
|
||||
}
|
||||
}
|
||||
|
||||
// resize the neighbor cache after setting the basis
|
||||
acecimpl -> ace->resize_neighbours_cache(max_jnum);
|
||||
acecimpl -> ace->compute_atom(i, atom->x, atom->type, list->numneigh[i], list->firstneigh[i]);
|
||||
Array1D<DOUBLE_TYPE> Bs = acecimpl -> ace -> projections;
|
||||
|
||||
for (int jj = 0; jj < jnum; jj++) {
|
||||
const int j = jlist[jj];
|
||||
//replace mapping of jj to j
|
||||
if (!dgradflag) {
|
||||
double *pacedi = pace_peratom[i]+typeoffset_local;
|
||||
double *pacedj = pace_peratom[j]+typeoffset_local;
|
||||
|
||||
//force array in (func_ind,neighbour_ind,xyz_ind) format
|
||||
// dimension: (n_descriptors,max_jnum,3)
|
||||
//example to access entries for neighbour jj after running compute_atom for atom i:
|
||||
for (int func_ind =0; func_ind < n_r1 + n_rp; func_ind++){
|
||||
DOUBLE_TYPE fx_dB = acecimpl -> ace -> neighbours_dB(func_ind,jj,0);
|
||||
DOUBLE_TYPE fy_dB = acecimpl -> ace -> neighbours_dB(func_ind,jj,1);
|
||||
DOUBLE_TYPE fz_dB = acecimpl -> ace -> neighbours_dB(func_ind,jj,2);
|
||||
pacedi[func_ind] += fx_dB;
|
||||
pacedi[func_ind+yoffset] += fy_dB;
|
||||
pacedi[func_ind+zoffset] += fz_dB;
|
||||
pacedj[func_ind] -= fx_dB;
|
||||
pacedj[func_ind+yoffset] -= fy_dB;
|
||||
pacedj[func_ind+zoffset] -= fz_dB;
|
||||
}
|
||||
} else {
|
||||
//printf("inside dBi/dRj logical : ncoeff = %d \n", ncoeff);
|
||||
for (int iicoeff = 0; iicoeff < ncoeff; iicoeff++) {
|
||||
|
||||
// add to pace array for this proc
|
||||
//printf("inside dBi/dRj loop\n");
|
||||
// dBi/dRj
|
||||
DOUBLE_TYPE fx_dB = acecimpl -> ace -> neighbours_dB(iicoeff,jj,0);
|
||||
DOUBLE_TYPE fy_dB = acecimpl -> ace -> neighbours_dB(iicoeff,jj,1);
|
||||
DOUBLE_TYPE fz_dB = acecimpl -> ace -> neighbours_dB(iicoeff,jj,2);
|
||||
pace[bik_rows + ((atom->tag[j]-1)*3*natoms) + 3*(atom->tag[i]-1) + 0][iicoeff+3] -= fx_dB;
|
||||
pace[bik_rows + ((atom->tag[j]-1)*3*natoms) + 3*(atom->tag[i]-1) + 1][iicoeff+3] -= fy_dB;
|
||||
pace[bik_rows + ((atom->tag[j]-1)*3*natoms) + 3*(atom->tag[i]-1) + 2][iicoeff+3] -= fz_dB;
|
||||
|
||||
// dBi/dRi
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 0][iicoeff+3] += fx_dB;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 1][iicoeff+3] += fy_dB;
|
||||
pace[bik_rows + ((atom->tag[i]-1)*3*natoms) + 3*(atom->tag[i]-1) + 2][iicoeff+3] += fz_dB;
|
||||
}
|
||||
}
|
||||
} // loop over jj inside
|
||||
if (!dgradflag) {
|
||||
|
||||
int k = typeoffset_global;
|
||||
|
||||
for (int icoeff = 0; icoeff < ncoeff; icoeff++){
|
||||
pace[irow][k++] += Bs(icoeff);
|
||||
}
|
||||
} else {
|
||||
int k = 3;
|
||||
for (int icoeff = 0; icoeff < ncoeff; icoeff++){
|
||||
pace[irow][k++] += Bs(icoeff);
|
||||
}
|
||||
}
|
||||
} //group bit
|
||||
} // for ii loop
|
||||
// accumulate force contributions to global array
|
||||
if (!dgradflag){
|
||||
for (int itype = 0; itype < atom->ntypes; itype++) {
|
||||
const int typeoffset_local = ndims_peratom*nvalues*itype;
|
||||
const int typeoffset_global = nvalues*itype;
|
||||
for (int icoeff = 0; icoeff < nvalues; icoeff++) {
|
||||
for (int i = 0; i < ntotal; i++) {
|
||||
double *pacedi = pace_peratom[i]+typeoffset_local;
|
||||
int iglobal = atom->tag[i];
|
||||
int irow = 3*(iglobal-1)+1;
|
||||
pace[irow++][icoeff+typeoffset_global] += pacedi[icoeff];
|
||||
pace[irow++][icoeff+typeoffset_global] += pacedi[icoeff+yoffset];
|
||||
pace[irow][icoeff+typeoffset_global] += pacedi[icoeff+zoffset];
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if (!dgradflag) {
|
||||
// accumulate forces to global array
|
||||
for (int i = 0; i < atom->nlocal; i++) {
|
||||
int iglobal = atom->tag[i];
|
||||
int irow = 3*(iglobal-1)+1;
|
||||
pace[irow++][lastcol] = atom->f[i][0];
|
||||
pace[irow++][lastcol] = atom->f[i][1];
|
||||
pace[irow][lastcol] = atom->f[i][2];
|
||||
}
|
||||
} else {
|
||||
|
||||
// for dgradflag=1, put forces at first 3 columns of bik rows
|
||||
|
||||
for (int i=0; i<atom->nlocal; i++) {
|
||||
int iglobal = atom->tag[i];
|
||||
pace[iglobal-1][0+0] = atom->f[i][0];
|
||||
pace[iglobal-1][0+1] = atom->f[i][1];
|
||||
pace[iglobal-1][0+2] = atom->f[i][2];
|
||||
}
|
||||
}
|
||||
|
||||
dbdotr_compute();
|
||||
|
||||
// sum up over all processes
|
||||
MPI_Allreduce(&pace[0][0],&paceall[0][0],size_array_rows*size_array_cols,MPI_DOUBLE,MPI_SUM,world);
|
||||
|
||||
// assign energy to last column
|
||||
|
||||
if (!dgradflag) {
|
||||
for (int i = 0; i < bik_rows; i++) paceall[i][lastcol] = 0;
|
||||
int irow = 0;
|
||||
double reference_energy = c_pe->compute_scalar();
|
||||
paceall[irow][lastcol] = reference_energy;
|
||||
} else {
|
||||
|
||||
// assign reference energy right after the dgrad rows, first column
|
||||
|
||||
int irow = bik_rows + 3*natoms*natoms;
|
||||
double reference_energy = c_pe->compute_scalar();
|
||||
paceall[irow][0] = reference_energy;
|
||||
}
|
||||
|
||||
// assign virial stress to last column
|
||||
// switch to Voigt notation
|
||||
|
||||
if (!dgradflag) {
|
||||
c_virial->compute_vector();
|
||||
int irow = 3*natoms+bik_rows;
|
||||
paceall[irow++][lastcol] = c_virial->vector[0];
|
||||
paceall[irow++][lastcol] = c_virial->vector[1];
|
||||
paceall[irow++][lastcol] = c_virial->vector[2];
|
||||
paceall[irow++][lastcol] = c_virial->vector[5];
|
||||
paceall[irow++][lastcol] = c_virial->vector[4];
|
||||
paceall[irow++][lastcol] = c_virial->vector[3];
|
||||
}
|
||||
}
|
||||
|
||||
/* ----------------------------------------------------------------------
|
||||
compute global virial contributions via summing r_i.dB^j/dr_i over
|
||||
own & ghost atoms
|
||||
------------------------------------------------------------------------- */
|
||||
void ComputePACE::dbdotr_compute()
|
||||
{
|
||||
|
||||
if (dgradflag) return;
|
||||
|
||||
double **x = atom->x;
|
||||
int irow0 = bik_rows+ndims_force*natoms;
|
||||
|
||||
// sum over ace contributions to forces
|
||||
// on all particles including ghosts
|
||||
|
||||
int nall = atom->nlocal + atom->nghost;
|
||||
for (int i = 0; i < nall; i++)
|
||||
for (int itype = 0; itype < atom->ntypes; itype++) {
|
||||
const int typeoffset_local = ndims_peratom*nvalues*itype;
|
||||
const int typeoffset_global = nvalues*itype;
|
||||
double *pacedi = pace_peratom[i]+typeoffset_local;
|
||||
for (int icoeff = 0; icoeff < nvalues; icoeff++) {
|
||||
double dbdx = pacedi[icoeff];
|
||||
double dbdy = pacedi[icoeff+yoffset];
|
||||
double dbdz = pacedi[icoeff+zoffset];
|
||||
int irow = irow0;
|
||||
pace[irow++][icoeff+typeoffset_global] += dbdx*x[i][0];
|
||||
pace[irow++][icoeff+typeoffset_global] += dbdy*x[i][1];
|
||||
pace[irow++][icoeff+typeoffset_global] += dbdz*x[i][2];
|
||||
pace[irow++][icoeff+typeoffset_global] += dbdz*x[i][1];
|
||||
pace[irow++][icoeff+typeoffset_global] += dbdz*x[i][0];
|
||||
pace[irow++][icoeff+typeoffset_global] += dbdy*x[i][0];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* ----------------------------------------------------------------------
|
||||
memory usage
|
||||
------------------------------------------------------------------------- */
|
||||
|
||||
double ComputePACE::memory_usage()
|
||||
{
|
||||
|
||||
double bytes = (double)size_array_rows*size_array_cols*sizeof(double); // pace
|
||||
bytes += (double)size_array_rows*size_array_cols*sizeof(double); // paceall
|
||||
bytes += (double)nmax*size_peratom * sizeof(double); // pace_peratom
|
||||
int n = atom->ntypes+1;
|
||||
bytes += (double)n*sizeof(int); // map
|
||||
|
||||
return bytes;
|
||||
}
|
||||
60
src/ML-PACE/compute_pace.h
Normal file
60
src/ML-PACE/compute_pace.h
Normal file
@ -0,0 +1,60 @@
|
||||
/* -*- c++ -*- ----------------------------------------------------------
|
||||
LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
|
||||
https://www.lammps.org/, Sandia National Laboratories
|
||||
LAMMPS Development team: developers@lammps.org
|
||||
|
||||
Copyright (2003) Sandia Corporation. Under the terms of Contract
|
||||
DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
|
||||
certain rights in this software. This software is distributed under
|
||||
the GNU General Public License.
|
||||
|
||||
See the README file in the top-level LAMMPS directory.
|
||||
------------------------------------------------------------------------- */
|
||||
|
||||
#ifdef COMPUTE_CLASS
|
||||
// clang-format off
|
||||
ComputeStyle(pace,ComputePACE);
|
||||
// clang-format on
|
||||
#else
|
||||
|
||||
#ifndef LMP_COMPUTE_PACE_H
|
||||
#define LMP_COMPUTE_PACE_H
|
||||
|
||||
#include "compute.h"
|
||||
|
||||
namespace LAMMPS_NS {
|
||||
|
||||
class ComputePACE : public Compute {
|
||||
public:
|
||||
ComputePACE(class LAMMPS *, int, char **);
|
||||
~ComputePACE();
|
||||
void init();
|
||||
void init_list(int, class NeighList *);
|
||||
void compute_array();
|
||||
double memory_usage();
|
||||
|
||||
private:
|
||||
int natoms, nmax, size_peratom, lastcol;
|
||||
int ncoeff, nvalues, nperdim, yoffset, zoffset;
|
||||
int ndims_peratom, ndims_force, ndims_virial;
|
||||
double **cutsq;
|
||||
class NeighList *list;
|
||||
double **pace, **paceall;
|
||||
double **pace_peratom;
|
||||
double rcutfac;
|
||||
int *map; // map types to [0,nelements)
|
||||
int nelements, chemflag;
|
||||
int bikflag, bik_rows, dgradflag, dgrad_rows;
|
||||
double *cg;
|
||||
double cutmax;
|
||||
Compute *c_pe;
|
||||
Compute *c_virial;
|
||||
|
||||
void dbdotr_compute();
|
||||
struct ACECimpl *acecimpl;
|
||||
};
|
||||
|
||||
} // namespace LAMMPS_NS
|
||||
|
||||
#endif
|
||||
#endif
|
||||
Reference in New Issue
Block a user