GaussQuadrature.h

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#ifndef PBAT_MATH_GAUSSQUADRATURE_H
#define PBAT_MATH_GAUSSQUADRATURE_H
 
#include "pbat/Aliases.h"
#include "pbat/common/Concepts.h"
 
#include <array>
#include <cstdint>
 
namespace pbat {
namespace math {
 
namespace detail {
template <int Dims, int Order, common::CFloatingPoint TScalar = Scalar>
struct GaussLegendreQuadrature;
} // namespace detail

template <int Dims, int Order, common::CFloatingPoint TScalar = Scalar>
using GaussLegendreQuadrature = typename detail::GaussLegendreQuadrature<Dims, Order, TScalar>;
 
namespace detail {
 
#include "pbat/warning/Push.h"
#include "pbat/warning/SignConversion.h"
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 1, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 1;
    inline static int constexpr kPoints                                       = 1;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.500000000000000,
        0.500000000000000};
    inline static std::array<TScalar, kPoints> constexpr weights = {1.00000000000000};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 2, TScalar>
{
    inline static std::uint8_t constexpr kDims  = 1;
    inline static std::uint8_t constexpr kOrder = 2;
    inline static int constexpr kPoints         = 2;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points =
        {0.788675134594087, 0.211324865405913, 0.211324865405913, 0.788675134594087};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.500000000000000,
        0.500000000000000};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 3, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 3;
    inline static int constexpr kPoints                                       = 3;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.887298334619118,
        0.500000000000000,
        0.112701665380882,
        0.112701665380882,
        0.500000000000000,
        0.887298334619118};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.277777777777374,
        0.444444444445253,
        0.277777777777374};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 4, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 4;
    inline static int constexpr kPoints                                       = 4;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.930568155796209,
        0.669990521791988,
        0.330009478208012,
        0.0694318442037911,
        0.0694318442037911,
        0.330009478208012,
        0.669990521791988,
        0.930568155796209};
    inline static std::array<TScalar, kPoints> constexpr weights =
        {0.173927422569250, 0.326072577430750, 0.326072577430750, 0.173927422569250};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 5, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 5;
    inline static int constexpr kPoints                                       = 5;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.953089922968502,
        0.769234655053879,
        0.500000000000000,
        0.230765344946121,
        0.0469100770314981,
        0.0469100770314981,
        0.230765344946121,
        0.500000000000000,
        0.769234655053879,
        0.953089922968502};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.118463442528082,
        0.239314335249219,
        0.284444444445398,
        0.239314335249219,
        0.118463442528082};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 6, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 6;
    inline static int constexpr kPoints                                       = 6;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.966234757102939,
        0.830604693233909,
        0.619309593041180,
        0.380690406958820,
        0.169395306766091,
        0.0337652428970614,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0856622461897132,
        0.180380786523529,
        0.233956967285849,
        0.233956967285849,
        0.180380786523529,
        0.0856622461897132};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 7, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 7;
    inline static int constexpr kPoints                                       = 7;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.974553956169984,
        0.870765592801035,
        0.702922575688717,
        0.500000000000000,
        0.297077424311283,
        0.129234407198965,
        0.0254460438300157,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0647424830849559,
        0.139852695743684,
        0.190915025252252,
        0.208979591836396,
        0.190915025252252,
        0.139852695743684,
        0.0647424830849559};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 8, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 8;
    inline static int constexpr kPoints                                       = 8;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.980144928249501,
        0.898333238706982,
        0.762766204956279,
        0.591717321247415,
        0.408282678752585,
        0.237233795043721,
        0.101666761293018,
        0.0198550717504986,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0506142681447272,
        0.111190517226532,
        0.156853322938332,
        0.181341891689954,
        0.181341891689954,
        0.156853322938332,
        0.111190517226532,
        0.0506142681447272};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 9, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 9;
    inline static int constexpr kPoints                                       = 9;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.984080119753344,
        0.918015553663281,
        0.806685716350330,
        0.662126711702513,
        0.500000000000000,
        0.337873288297487,
        0.193314283649670,
        0.0819844463367190,
        0.0159198802466562,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0406371941808175,
        0.0903240803472727,
        0.130305348200636,
        0.156173538520306,
        0.165119677500115,
        0.156173538520306,
        0.130305348200636,
        0.0903240803472727,
        0.0406371941808175};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<1, 10, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 1;
    inline static std::uint8_t constexpr kOrder                               = 10;
    inline static int constexpr kPoints                                       = 10;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.986953264258773,  0.932531683345587,  0.839704784149944,  0.716697697063864,
        0.574437169490920,  0.425562830509080,  0.283302302936136,  0.160295215850056,
        0.0674683166544128, 0.0130467357412272, 0.0130467357412272, 0.0674683166544128,
        0.160295215850056,  0.283302302936136,  0.425562830509080,  0.574437169490920,
        0.716697697063864,  0.839704784149944,  0.932531683345587,  0.986953264258773};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0333356721544078,
        0.0747256745753475,
        0.109543181258232,
        0.134633359655709,
        0.147762112357668,
        0.147762112357668,
        0.134633359655709,
        0.109543181258232,
        0.0747256745753475,
        0.0333356721544078};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 1, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 1;
    inline static int constexpr kPoints                                       = 1;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0,
        0.500000000000000,
        0.500000000000000};
    inline static std::array<TScalar, kPoints> constexpr weights = {1.00000000000000};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 2, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 2;
    inline static int constexpr kPoints                                       = 4;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.577350269188173,
        0,
        0,
        -0.577350269188173,
        0.211324865405913,
        0.211324865405913,
        0.788675134594087,
        0.788675134594087,
        0.211324865405913,
        0.788675134594087,
        0.211324865405913,
        0.788675134594087};
    inline static std::array<TScalar, kPoints> constexpr weights =
        {0.250000000000000, 0.250000000000000, 0.250000000000000, 0.250000000000000};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 3, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 3;
    inline static int constexpr kPoints                                       = 9;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.774596669238235,
        0.387298334619118,
        0,
        0.387298334619118,
        0,
        -0.387298334619118,
        0,
        -0.387298334619118,
        -0.774596669238235,
        0.112701665380882,
        0.112701665380882,
        0.112701665380882,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.887298334619118,
        0.887298334619118,
        0.887298334619118,
        0.112701665380882,
        0.500000000000000,
        0.887298334619118,
        0.112701665380882,
        0.500000000000000,
        0.887298334619118,
        0.112701665380882,
        0.500000000000000,
        0.887298334619118};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0771604938269359,
        0.123456790123502,
        0.0771604938269359,
        0.123456790123502,
        0.197530864198249,
        0.123456790123502,
        0.0771604938269359,
        0.123456790123502,
        0.0771604938269359};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 4, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 4;
    inline static int constexpr kPoints                                       = 16;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.861136311592418,
        0.600558677588197,
        0.260577634004221,
        0,
        0.600558677588197,
        0.339981043583975,
        0,
        -0.260577634004221,
        0.260577634004221,
        0,
        -0.339981043583975,
        -0.600558677588197,
        0,
        -0.260577634004221,
        -0.600558677588197,
        -0.861136311592418,
        0.0694318442037911,
        0.0694318442037911,
        0.0694318442037911,
        0.0694318442037911,
        0.330009478208012,
        0.330009478208012,
        0.330009478208012,
        0.330009478208012,
        0.669990521791988,
        0.669990521791988,
        0.669990521791988,
        0.669990521791988,
        0.930568155796209,
        0.930568155796209,
        0.930568155796209,
        0.930568155796209,
        0.0694318442037911,
        0.330009478208012,
        0.669990521791988,
        0.930568155796209,
        0.0694318442037911,
        0.330009478208012,
        0.669990521791988,
        0.930568155796209,
        0.0694318442037911,
        0.330009478208012,
        0.669990521791988,
        0.930568155796209,
        0.0694318442037911,
        0.330009478208012,
        0.669990521791988,
        0.930568155796209};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0302507483215824,
        0.0567129629630425,
        0.0567129629630425,
        0.0302507483215824,
        0.0567129629630425,
        0.106323325752333,
        0.106323325752333,
        0.0567129629630425,
        0.0567129629630425,
        0.106323325752333,
        0.106323325752333,
        0.0567129629630425,
        0.0302507483215824,
        0.0567129629630425,
        0.0567129629630425,
        0.0302507483215824};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 5, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 5;
    inline static int constexpr kPoints                                       = 25;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.906179845937004,
        0.722324578022381,
        0.453089922968502,
        0.183855267914623,
        0,
        0.722324578022381,
        0.538469310107757,
        0.269234655053879,
        0,
        -0.183855267914623,
        0.453089922968502,
        0.269234655053879,
        0,
        -0.269234655053879,
        -0.453089922968502,
        0.183855267914623,
        0,
        -0.269234655053879,
        -0.538469310107757,
        -0.722324578022381,
        0,
        -0.183855267914623,
        -0.453089922968502,
        -0.722324578022381,
        -0.906179845937004,
        0.0469100770314981,
        0.0469100770314981,
        0.0469100770314981,
        0.0469100770314981,
        0.0469100770314981,
        0.230765344946121,
        0.230765344946121,
        0.230765344946121,
        0.230765344946121,
        0.230765344946121,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.769234655053879,
        0.769234655053879,
        0.769234655053879,
        0.769234655053879,
        0.769234655053879,
        0.953089922968502,
        0.953089922968502,
        0.953089922968502,
        0.953089922968502,
        0.953089922968502,
        0.0469100770314981,
        0.230765344946121,
        0.500000000000000,
        0.769234655053879,
        0.953089922968502,
        0.0469100770314981,
        0.230765344946121,
        0.500000000000000,
        0.769234655053879,
        0.953089922968502,
        0.0469100770314981,
        0.230765344946121,
        0.500000000000000,
        0.769234655053879,
        0.953089922968502,
        0.0469100770314981,
        0.230765344946121,
        0.500000000000000,
        0.769234655053879,
        0.953089922968502,
        0.0469100770314981,
        0.230765344946121,
        0.500000000000000,
        0.769234655053879,
        0.953089922968502};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0140335872156042, 0.0283499999999420, 0.0336962680969896, 0.0283499999999420,
        0.0140335872156042, 0.0283499999999420, 0.0572713510557755, 0.0680716331377839,
        0.0572713510557755, 0.0283499999999420, 0.0336962680969896, 0.0680716331377839,
        0.0809086419758513, 0.0680716331377839, 0.0336962680969896, 0.0283499999999420,
        0.0572713510557755, 0.0680716331377839, 0.0572713510557755, 0.0283499999999420,
        0.0140335872156042, 0.0283499999999420, 0.0336962680969896, 0.0283499999999420,
        0.0140335872156042};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 6, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 6;
    inline static int constexpr kPoints                                       = 36;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.932469514205877,
        0.796839450336847,
        0.585544350144119,
        0.346925164061759,
        0.135630063869030,
        0,
        0.796839450336847,
        0.661209386467817,
        0.449914286275089,
        0.211295100192729,
        0,
        -0.135630063869030,
        0.585544350144119,
        0.449914286275089,
        0.238619186082360,
        0,
        -0.211295100192729,
        -0.346925164061759,
        0.346925164061759,
        0.211295100192729,
        0,
        -0.238619186082360,
        -0.449914286275089,
        -0.585544350144119,
        0.135630063869030,
        0,
        -0.211295100192729,
        -0.449914286275089,
        -0.661209386467817,
        -0.796839450336847,
        0,
        -0.135630063869030,
        -0.346925164061759,
        -0.585544350144119,
        -0.796839450336847,
        -0.932469514205877,
        0.0337652428970614,
        0.0337652428970614,
        0.0337652428970614,
        0.0337652428970614,
        0.0337652428970614,
        0.0337652428970614,
        0.169395306766091,
        0.169395306766091,
        0.169395306766091,
        0.169395306766091,
        0.169395306766091,
        0.169395306766091,
        0.380690406958820,
        0.380690406958820,
        0.380690406958820,
        0.380690406958820,
        0.380690406958820,
        0.380690406958820,
        0.619309593041180,
        0.619309593041180,
        0.619309593041180,
        0.619309593041180,
        0.619309593041180,
        0.619309593041180,
        0.830604693233909,
        0.830604693233909,
        0.830604693233909,
        0.830604693233909,
        0.830604693233909,
        0.830604693233909,
        0.966234757102939,
        0.966234757102939,
        0.966234757102939,
        0.966234757102939,
        0.966234757102939,
        0.966234757102939,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939,
        0.0337652428970614,
        0.169395306766091,
        0.380690406958820,
        0.619309593041180,
        0.830604693233909,
        0.966234757102939};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00733802042226703, 0.0154518233430726,  0.0200412793294391,  0.0200412793294391,
        0.0154518233430726,  0.00733802042226703, 0.0154518233430726,  0.0325372281468468,
        0.0422013417716808,  0.0422013417716808,  0.0325372281468468,  0.0154518233430726,
        0.0200412793294391,  0.0422013417716808,  0.0547358625415917,  0.0547358625415917,
        0.0422013417716808,  0.0200412793294391,  0.0200412793294391,  0.0422013417716808,
        0.0547358625415917,  0.0547358625415917,  0.0422013417716808,  0.0200412793294391,
        0.0154518233430726,  0.0325372281468468,  0.0422013417716808,  0.0422013417716808,
        0.0325372281468468,  0.0154518233430726,  0.00733802042226703, 0.0154518233430726,
        0.0200412793294391,  0.0200412793294391,  0.0154518233430726,  0.00733802042226703};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 7, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 7;
    inline static int constexpr kPoints                                       = 49;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.949107912339969,
        0.845319548971020,
        0.677476531858701,
        0.474553956169984,
        0.271631380481267,
        0.103788363368949,
        0,
        0.845319548971020,
        0.741531185602071,
        0.573688168489753,
        0.370765592801035,
        0.167843017112318,
        0,
        -0.103788363368949,
        0.677476531858701,
        0.573688168489753,
        0.405845151377434,
        0.202922575688717,
        0,
        -0.167843017112318,
        -0.271631380481267,
        0.474553956169984,
        0.370765592801035,
        0.202922575688717,
        0,
        -0.202922575688717,
        -0.370765592801035,
        -0.474553956169984,
        0.271631380481267,
        0.167843017112318,
        0,
        -0.202922575688717,
        -0.405845151377434,
        -0.573688168489753,
        -0.677476531858701,
        0.103788363368949,
        0,
        -0.167843017112318,
        -0.370765592801035,
        -0.573688168489753,
        -0.741531185602071,
        -0.845319548971020,
        0,
        -0.103788363368949,
        -0.271631380481267,
        -0.474553956169984,
        -0.677476531858701,
        -0.845319548971020,
        -0.949107912339969,
        0.0254460438300157,
        0.0254460438300157,
        0.0254460438300157,
        0.0254460438300157,
        0.0254460438300157,
        0.0254460438300157,
        0.0254460438300157,
        0.129234407198965,
        0.129234407198965,
        0.129234407198965,
        0.129234407198965,
        0.129234407198965,
        0.129234407198965,
        0.129234407198965,
        0.297077424311283,
        0.297077424311283,
        0.297077424311283,
        0.297077424311283,
        0.297077424311283,
        0.297077424311283,
        0.297077424311283,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.702922575688717,
        0.702922575688717,
        0.702922575688717,
        0.702922575688717,
        0.702922575688717,
        0.702922575688717,
        0.702922575688717,
        0.870765592801035,
        0.870765592801035,
        0.870765592801035,
        0.870765592801035,
        0.870765592801035,
        0.870765592801035,
        0.870765592801035,
        0.974553956169984,
        0.974553956169984,
        0.974553956169984,
        0.974553956169984,
        0.974553956169984,
        0.974553956169984,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984,
        0.0254460438300157,
        0.129234407198965,
        0.297077424311283,
        0.500000000000000,
        0.702922575688717,
        0.870765592801035,
        0.974553956169984};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00419158911600580, 0.00905441078857096, 0.0123603127930579,  0.0135298576895689,
        0.0123603127930579,  0.00905441078857096, 0.00419158911600580, 0.00905441078857096,
        0.0195587765067755,  0.0266999809395010,  0.0292263592737348,  0.0266999809395010,
        0.0195587765067755,  0.00905441078857096, 0.0123603127930579,  0.0266999809395010,
        0.0364485468670681,  0.0398973440526509,  0.0364485468670681,  0.0266999809395010,
        0.0123603127930579,  0.0135298576895689,  0.0292263592737348,  0.0398973440526509,
        0.0436724698041067,  0.0398973440526509,  0.0292263592737348,  0.0135298576895689,
        0.0123603127930579,  0.0266999809395010,  0.0364485468670681,  0.0398973440526509,
        0.0364485468670681,  0.0266999809395010,  0.0123603127930579,  0.00905441078857096,
        0.0195587765067755,  0.0266999809395010,  0.0292263592737348,  0.0266999809395010,
        0.0195587765067755,  0.00905441078857096, 0.00419158911600580, 0.00905441078857096,
        0.0123603127930579,  0.0135298576895689,  0.0123603127930579,  0.00905441078857096,
        0.00419158911600580};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 8, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 8;
    inline static int constexpr kPoints                                       = 64;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.960289856499003,
        0.878478166956484,
        0.742911133205780,
        0.571862249496917,
        0.388427607002086,
        0.217378723293223,
        0.0818116895425192,
        0,
        0.878478166956484,
        0.796666477413964,
        0.661099443663261,
        0.490050559954398,
        0.306615917459567,
        0.135567033750704,
        0,
        -0.0818116895425192,
        0.742911133205780,
        0.661099443663261,
        0.525532409912557,
        0.354483526203694,
        0.171048883708863,
        0,
        -0.135567033750704,
        -0.217378723293223,
        0.571862249496917,
        0.490050559954398,
        0.354483526203694,
        0.183434642494831,
        0,
        -0.171048883708863,
        -0.306615917459567,
        -0.388427607002086,
        0.388427607002086,
        0.306615917459567,
        0.171048883708863,
        0,
        -0.183434642494831,
        -0.354483526203694,
        -0.490050559954398,
        -0.571862249496917,
        0.217378723293223,
        0.135567033750704,
        0,
        -0.171048883708863,
        -0.354483526203694,
        -0.525532409912557,
        -0.661099443663261,
        -0.742911133205780,
        0.0818116895425192,
        0,
        -0.135567033750704,
        -0.306615917459567,
        -0.490050559954398,
        -0.661099443663261,
        -0.796666477413964,
        -0.878478166956484,
        0,
        -0.0818116895425192,
        -0.217378723293223,
        -0.388427607002086,
        -0.571862249496917,
        -0.742911133205780,
        -0.878478166956484,
        -0.960289856499003,
        0.0198550717504986,
        0.0198550717504986,
        0.0198550717504986,
        0.0198550717504986,
        0.0198550717504986,
        0.0198550717504986,
        0.0198550717504986,
        0.0198550717504986,
        0.101666761293018,
        0.101666761293018,
        0.101666761293018,
        0.101666761293018,
        0.101666761293018,
        0.101666761293018,
        0.101666761293018,
        0.101666761293018,
        0.237233795043721,
        0.237233795043721,
        0.237233795043721,
        0.237233795043721,
        0.237233795043721,
        0.237233795043721,
        0.237233795043721,
        0.237233795043721,
        0.408282678752585,
        0.408282678752585,
        0.408282678752585,
        0.408282678752585,
        0.408282678752585,
        0.408282678752585,
        0.408282678752585,
        0.408282678752585,
        0.591717321247415,
        0.591717321247415,
        0.591717321247415,
        0.591717321247415,
        0.591717321247415,
        0.591717321247415,
        0.591717321247415,
        0.591717321247415,
        0.762766204956279,
        0.762766204956279,
        0.762766204956279,
        0.762766204956279,
        0.762766204956279,
        0.762766204956279,
        0.762766204956279,
        0.762766204956279,
        0.898333238706982,
        0.898333238706982,
        0.898333238706982,
        0.898333238706982,
        0.898333238706982,
        0.898333238706982,
        0.898333238706982,
        0.898333238706982,
        0.980144928249501,
        0.980144928249501,
        0.980144928249501,
        0.980144928249501,
        0.980144928249501,
        0.980144928249501,
        0.980144928249501,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501,
        0.0198550717504986,
        0.101666761293018,
        0.237233795043721,
        0.408282678752585,
        0.591717321247415,
        0.762766204956279,
        0.898333238706982,
        0.980144928249501};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00256180413982635, 0.00562782665405462, 0.00793901614659223, 0.00917848713186740,
        0.00917848713186740, 0.00793901614659223, 0.00562782665405462, 0.00256180413982635,
        0.00562782665405462, 0.0123633311211038,  0.0174406021062135,  0.0201634987318438,
        0.0201634987318438,  0.0174406021062135,  0.0123633311211038,  0.00562782665405462,
        0.00793901614659223, 0.0174406021062135,  0.0246029649167967,  0.0284440782994923,
        0.0284440782994923,  0.0246029649167967,  0.0174406021062135,  0.00793901614659223,
        0.00917848713186740, 0.0201634987318438,  0.0284440782994923,  0.0328848816816909,
        0.0328848816816909,  0.0284440782994923,  0.0201634987318438,  0.00917848713186740,
        0.00917848713186740, 0.0201634987318438,  0.0284440782994923,  0.0328848816816909,
        0.0328848816816909,  0.0284440782994923,  0.0201634987318438,  0.00917848713186740,
        0.00793901614659223, 0.0174406021062135,  0.0246029649167967,  0.0284440782994923,
        0.0284440782994923,  0.0246029649167967,  0.0174406021062135,  0.00793901614659223,
        0.00562782665405462, 0.0123633311211038,  0.0174406021062135,  0.0201634987318438,
        0.0201634987318438,  0.0174406021062135,  0.0123633311211038,  0.00562782665405462,
        0.00256180413982635, 0.00562782665405462, 0.00793901614659223, 0.00917848713186740,
        0.00917848713186740, 0.00793901614659223, 0.00562782665405462, 0.00256180413982635};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 9, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 9;
    inline static int constexpr kPoints                                       = 81;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.968160239506688,
        0.902095673416625,
        0.790765836103674,
        0.646206831455856,
        0.484080119753344,
        0.321953408050831,
        0.177394403403014,
        0.0660645660900627,
        0,
        0.902095673416625,
        0.836031107326562,
        0.724701270013611,
        0.580142265365794,
        0.418015553663281,
        0.255888841960768,
        0.111329837312951,
        0,
        -0.0660645660900627,
        0.790765836103674,
        0.724701270013611,
        0.613371432700660,
        0.468812428052843,
        0.306685716350330,
        0.144559004647817,
        0,
        -0.111329837312951,
        -0.177394403403014,
        0.646206831455856,
        0.580142265365794,
        0.468812428052843,
        0.324253423405025,
        0.162126711702513,
        0,
        -0.144559004647817,
        -0.255888841960768,
        -0.321953408050831,
        0.484080119753344,
        0.418015553663281,
        0.306685716350330,
        0.162126711702513,
        0,
        -0.162126711702513,
        -0.306685716350330,
        -0.418015553663281,
        -0.484080119753344,
        0.321953408050831,
        0.255888841960768,
        0.144559004647817,
        0,
        -0.162126711702513,
        -0.324253423405025,
        -0.468812428052843,
        -0.580142265365794,
        -0.646206831455856,
        0.177394403403014,
        0.111329837312951,
        0,
        -0.144559004647817,
        -0.306685716350330,
        -0.468812428052843,
        -0.613371432700660,
        -0.724701270013611,
        -0.790765836103674,
        0.0660645660900627,
        0,
        -0.111329837312951,
        -0.255888841960768,
        -0.418015553663281,
        -0.580142265365794,
        -0.724701270013611,
        -0.836031107326562,
        -0.902095673416625,
        0,
        -0.0660645660900627,
        -0.177394403403014,
        -0.321953408050831,
        -0.484080119753344,
        -0.646206831455856,
        -0.790765836103674,
        -0.902095673416625,
        -0.968160239506688,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0159198802466562,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.0819844463367190,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.193314283649670,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.337873288297487,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.500000000000000,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.662126711702513,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.806685716350330,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.918015553663281,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344,
        0.0159198802466562,
        0.0819844463367190,
        0.193314283649670,
        0.337873288297487,
        0.500000000000000,
        0.662126711702513,
        0.806685716350330,
        0.918015553663281,
        0.984080119753344};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00165138155088946, 0.00367051719227588, 0.00529524373762829, 0.00634645441075507,
        0.00671000039764614, 0.00634645441075507, 0.00529524373762829, 0.00367051719227588,
        0.00165138155088946, 0.00367051719227588, 0.00815843949058057, 0.0117697107405536,
        0.0141062312414260,  0.0149142830174362,  0.0141062312414260,  0.0117697107405536,
        0.00815843949058057, 0.00367051719227588, 0.00529524373762829, 0.0117697107405536,
        0.0169794837696890,  0.0203502473166140,  0.0215159770714293,  0.0203502473166140,
        0.0169794837696890,  0.0117697107405536,  0.00529524373762829, 0.00634645441075507,
        0.0141062312414260,  0.0203502473166140,  0.0243901741339536,  0.0257873243145248,
        0.0243901741339536,  0.0203502473166140,  0.0141062312414260,  0.00634645441075507,
        0.00671000039764614, 0.0149142830174362,  0.0215159770714293,  0.0257873243145248,
        0.0272645078977421,  0.0257873243145248,  0.0215159770714293,  0.0149142830174362,
        0.00671000039764614, 0.00634645441075507, 0.0141062312414260,  0.0203502473166140,
        0.0243901741339536,  0.0257873243145248,  0.0243901741339536,  0.0203502473166140,
        0.0141062312414260,  0.00634645441075507, 0.00529524373762829, 0.0117697107405536,
        0.0169794837696890,  0.0203502473166140,  0.0215159770714293,  0.0203502473166140,
        0.0169794837696890,  0.0117697107405536,  0.00529524373762829, 0.00367051719227588,
        0.00815843949058057, 0.0117697107405536,  0.0141062312414260,  0.0149142830174362,
        0.0141062312414260,  0.0117697107405536,  0.00815843949058057, 0.00367051719227588,
        0.00165138155088946, 0.00367051719227588, 0.00529524373762829, 0.00634645441075507,
        0.00671000039764614, 0.00634645441075507, 0.00529524373762829, 0.00367051719227588,
        0.00165138155088946};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<2, 10, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 2;
    inline static std::uint8_t constexpr kOrder                               = 10;
    inline static int constexpr kPoints                                       = 100;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.973906528517546,
        0.919484947604360,
        0.826658048408717,
        0.703650961322637,
        0.561390433749693,
        0.412516094767852,
        0.270255567194909,
        0.147248480108829,
        0.0544215809131856,
        0,
        0.919484947604360,
        0.865063366691174,
        0.772236467495532,
        0.649229380409452,
        0.506968852836508,
        0.358094513854667,
        0.215833986281723,
        0.0928268991956429,
        0,
        -0.0544215809131856,
        0.826658048408717,
        0.772236467495532,
        0.679409568299889,
        0.556402481213809,
        0.414141953640865,
        0.265267614659024,
        0.123007087086080,
        0,
        -0.0928268991956429,
        -0.147248480108829,
        0.703650961322637,
        0.649229380409452,
        0.556402481213809,
        0.433395394127729,
        0.291134866554785,
        0.142260527572944,
        0,
        -0.123007087086080,
        -0.215833986281723,
        -0.270255567194909,
        0.561390433749693,
        0.506968852836508,
        0.414141953640865,
        0.291134866554785,
        0.148874338981841,
        0,
        -0.142260527572944,
        -0.265267614659024,
        -0.358094513854667,
        -0.412516094767852,
        0.412516094767852,
        0.358094513854667,
        0.265267614659024,
        0.142260527572944,
        0,
        -0.148874338981841,
        -0.291134866554785,
        -0.414141953640865,
        -0.506968852836508,
        -0.561390433749693,
        0.270255567194909,
        0.215833986281723,
        0.123007087086080,
        0,
        -0.142260527572944,
        -0.291134866554785,
        -0.433395394127729,
        -0.556402481213809,
        -0.649229380409452,
        -0.703650961322637,
        0.147248480108829,
        0.0928268991956429,
        0,
        -0.123007087086080,
        -0.265267614659024,
        -0.414141953640865,
        -0.556402481213809,
        -0.679409568299889,
        -0.772236467495532,
        -0.826658048408717,
        0.0544215809131856,
        0,
        -0.0928268991956429,
        -0.215833986281723,
        -0.358094513854667,
        -0.506968852836508,
        -0.649229380409452,
        -0.772236467495532,
        -0.865063366691174,
        -0.919484947604360,
        0,
        -0.0544215809131856,
        -0.147248480108829,
        -0.270255567194909,
        -0.412516094767852,
        -0.561390433749693,
        -0.703650961322637,
        -0.826658048408717,
        -0.919484947604360,
        -0.973906528517546,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0130467357412272,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.0674683166544128,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.160295215850056,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.283302302936136,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.425562830509080,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.574437169490920,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.716697697063864,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.839704784149944,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.932531683345587,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773,
        0.0130467357412272,
        0.0674683166544128,
        0.160295215850056,
        0.283302302936136,
        0.425562830509080,
        0.574437169490920,
        0.716697697063864,
        0.839704784149944,
        0.932531683345587,
        0.986953264258773};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00111126703798616, 0.00249103058916075, 0.00365169557717529, 0.00448809353852918,
        0.00492574933439800, 0.00492574933439800, 0.00448809353852918, 0.00365169557717529,
        0.00249103058916075, 0.00111126703798616, 0.00249103058916075, 0.00558392644074074,
        0.00818568811465094, 0.0100605686206182,  0.0110416235226051,  0.0110416235226051,
        0.0100605686206182,  0.00818568811465094, 0.00558392644074074, 0.00249103058916075,
        0.00365169557717529, 0.00818568811465094, 0.0119997085601739,  0.0147481665201700,
        0.0161863318570953,  0.0161863318570953,  0.0147481665201700,  0.0119997085601739,
        0.00818568811465094, 0.00365169557717529, 0.00448809353852918, 0.0100605686206182,
        0.0147481665201700,  0.0181261415321834,  0.0198937096165372,  0.0198937096165372,
        0.0181261415321834,  0.0147481665201700,  0.0100605686206182,  0.00448809353852918,
        0.00492574933439800, 0.0110416235226051,  0.0161863318570953,  0.0198937096165372,
        0.0218336418484002,  0.0218336418484002,  0.0198937096165372,  0.0161863318570953,
        0.0110416235226051,  0.00492574933439800, 0.00492574933439800, 0.0110416235226051,
        0.0161863318570953,  0.0198937096165372,  0.0218336418484002,  0.0218336418484002,
        0.0198937096165372,  0.0161863318570953,  0.0110416235226051,  0.00492574933439800,
        0.00448809353852918, 0.0100605686206182,  0.0147481665201700,  0.0181261415321834,
        0.0198937096165372,  0.0198937096165372,  0.0181261415321834,  0.0147481665201700,
        0.0100605686206182,  0.00448809353852918, 0.00365169557717529, 0.00818568811465094,
        0.0119997085601739,  0.0147481665201700,  0.0161863318570953,  0.0161863318570953,
        0.0147481665201700,  0.0119997085601739,  0.00818568811465094, 0.00365169557717529,
        0.00249103058916075, 0.00558392644074074, 0.00818568811465094, 0.0100605686206182,
        0.0110416235226051,  0.0110416235226051,  0.0100605686206182,  0.00818568811465094,
        0.00558392644074074, 0.00249103058916075, 0.00111126703798616, 0.00249103058916075,
        0.00365169557717529, 0.00448809353852918, 0.00492574933439800, 0.00492574933439800,
        0.00448809353852918, 0.00365169557717529, 0.00249103058916075, 0.00111126703798616};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 1, TScalar>
{
    inline static std::uint8_t constexpr kDims  = 3;
    inline static std::uint8_t constexpr kOrder = 1;
    inline static int constexpr kPoints         = 1;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points =
        {-0.500000000000000, 0.500000000000000, 0.500000000000000, 0.500000000000000};
    inline static std::array<TScalar, kPoints> constexpr weights = {1.00000000000000};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 2, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 2;
    inline static int constexpr kPoints                                       = 8;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.366025403782260,  -0.211324865405913, -0.211324865405913, -0.788675134594087,
        -0.211324865405913, -0.788675134594087, -0.788675134594087, -1.36602540378226,
        0.211324865405913,  0.211324865405913,  0.211324865405913,  0.211324865405913,
        0.788675134594087,  0.788675134594087,  0.788675134594087,  0.788675134594087,
        0.211324865405913,  0.211324865405913,  0.788675134594087,  0.788675134594087,
        0.211324865405913,  0.211324865405913,  0.788675134594087,  0.788675134594087,
        0.211324865405913,  0.788675134594087,  0.211324865405913,  0.788675134594087,
        0.211324865405913,  0.788675134594087,  0.211324865405913,  0.788675134594087};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.125000000000000,
        0.125000000000000,
        0.125000000000000,
        0.125000000000000,
        0.125000000000000,
        0.125000000000000,
        0.125000000000000,
        0.125000000000000};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 3, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 3;
    inline static int constexpr kPoints                                       = 27;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.661895003857353,  0.274596669238235,  -0.112701665380882, 0.274596669238235,
        -0.112701665380882, -0.500000000000000, -0.112701665380882, -0.500000000000000,
        -0.887298334619118, 0.274596669238235,  -0.112701665380882, -0.500000000000000,
        -0.112701665380882, -0.500000000000000, -0.887298334619118, -0.500000000000000,
        -0.887298334619118, -1.27459666923824,  -0.112701665380882, -0.500000000000000,
        -0.887298334619118, -0.500000000000000, -0.887298334619118, -1.27459666923824,
        -0.887298334619118, -1.27459666923824,  -1.66189500385735,  0.112701665380882,
        0.112701665380882,  0.112701665380882,  0.112701665380882,  0.112701665380882,
        0.112701665380882,  0.112701665380882,  0.112701665380882,  0.112701665380882,
        0.500000000000000,  0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,  0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,  0.887298334619118,  0.887298334619118,  0.887298334619118,
        0.887298334619118,  0.887298334619118,  0.887298334619118,  0.887298334619118,
        0.887298334619118,  0.887298334619118,  0.112701665380882,  0.112701665380882,
        0.112701665380882,  0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.887298334619118,  0.887298334619118,  0.887298334619118,  0.112701665380882,
        0.112701665380882,  0.112701665380882,  0.500000000000000,  0.500000000000000,
        0.500000000000000,  0.887298334619118,  0.887298334619118,  0.887298334619118,
        0.112701665380882,  0.112701665380882,  0.112701665380882,  0.500000000000000,
        0.500000000000000,  0.500000000000000,  0.887298334619118,  0.887298334619118,
        0.887298334619118,  0.112701665380882,  0.500000000000000,  0.887298334619118,
        0.112701665380882,  0.500000000000000,  0.887298334619118,  0.112701665380882,
        0.500000000000000,  0.887298334619118,  0.112701665380882,  0.500000000000000,
        0.887298334619118,  0.112701665380882,  0.500000000000000,  0.887298334619118,
        0.112701665380882,  0.500000000000000,  0.887298334619118,  0.112701665380882,
        0.500000000000000,  0.887298334619118,  0.112701665380882,  0.500000000000000,
        0.887298334619118,  0.112701665380882,  0.500000000000000,  0.887298334619118};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.0214334705074510, 0.0342935528120339, 0.0214334705074510, 0.0342935528120339,
        0.0548696844994339, 0.0342935528120339, 0.0214334705074510, 0.0342935528120339,
        0.0214334705074510, 0.0342935528120339, 0.0548696844994339, 0.0342935528120339,
        0.0548696844994339, 0.0877914951993817, 0.0548696844994339, 0.0342935528120339,
        0.0548696844994339, 0.0342935528120339, 0.0214334705074510, 0.0342935528120339,
        0.0214334705074510, 0.0342935528120339, 0.0548696844994339, 0.0342935528120339,
        0.0214334705074510, 0.0342935528120339, 0.0214334705074510};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 4, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 4;
    inline static int constexpr kPoints                                       = 64;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.791704467388627,   0.531126833384405,   0.191145789800430,   -0.0694318442037911,
        0.531126833384405,   0.270549199380184,   -0.0694318442037911, -0.330009478208012,
        0.191145789800430,   -0.0694318442037911, -0.409412887787767,  -0.669990521791988,
        -0.0694318442037911, -0.330009478208012,  -0.669990521791988,  -0.930568155796209,
        0.531126833384405,   0.270549199380184,   -0.0694318442037911, -0.330009478208012,
        0.270549199380184,   0.00997156537596311, -0.330009478208012,  -0.590587112212233,
        -0.0694318442037911, -0.330009478208012,  -0.669990521791988,  -0.930568155796209,
        -0.330009478208012,  -0.590587112212233,  -0.930568155796209,  -1.19114578980043,
        0.191145789800430,   -0.0694318442037911, -0.409412887787767,  -0.669990521791988,
        -0.0694318442037911, -0.330009478208012,  -0.669990521791988,  -0.930568155796209,
        -0.409412887787767,  -0.669990521791988,  -1.00997156537596,   -1.27054919938018,
        -0.669990521791988,  -0.930568155796209,  -1.27054919938018,   -1.53112683338441,
        -0.0694318442037911, -0.330009478208012,  -0.669990521791988,  -0.930568155796209,
        -0.330009478208012,  -0.590587112212233,  -0.930568155796209,  -1.19114578980043,
        -0.669990521791988,  -0.930568155796209,  -1.27054919938018,   -1.53112683338441,
        -0.930568155796209,  -1.19114578980043,   -1.53112683338441,   -1.79170446738863,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.0694318442037911,  0.0694318442037911,  0.0694318442037911,  0.0694318442037911,
        0.330009478208012,   0.330009478208012,   0.330009478208012,   0.330009478208012,
        0.669990521791988,   0.669990521791988,   0.669990521791988,   0.669990521791988,
        0.930568155796209,   0.930568155796209,   0.930568155796209,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209,
        0.0694318442037911,  0.330009478208012,   0.669990521791988,   0.930568155796209};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00526143468636388, 0.00986393947442731, 0.00986393947442731, 0.00526143468636388,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.00526143468636388, 0.00986393947442731, 0.00986393947442731, 0.00526143468636388,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.0184925420070939,  0.0346691208690724,  0.0346691208690724,  0.0184925420070939,
        0.0184925420070939,  0.0346691208690724,  0.0346691208690724,  0.0184925420070939,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.0184925420070939,  0.0346691208690724,  0.0346691208690724,  0.0184925420070939,
        0.0184925420070939,  0.0346691208690724,  0.0346691208690724,  0.0184925420070939,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.00526143468636388, 0.00986393947442731, 0.00986393947442731, 0.00526143468636388,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.00986393947442731, 0.0184925420070939,  0.0184925420070939,  0.00986393947442731,
        0.00526143468636388, 0.00986393947442731, 0.00986393947442731, 0.00526143468636388};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 5, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 5;
    inline static int constexpr kPoints                                       = 125;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.859269768905506,   0.675414500990883,  0.406179845937004,  0.136945190883125,
        -0.0469100770314981, 0.675414500990883,  0.491559233076259,  0.222324578022381,
        -0.0469100770314981, -0.230765344946121, 0.406179845937004,  0.222324578022381,
        -0.0469100770314981, -0.316144732085377, -0.500000000000000, 0.136945190883125,
        -0.0469100770314981, -0.316144732085377, -0.585379387139255, -0.769234655053879,
        -0.0469100770314981, -0.230765344946121, -0.500000000000000, -0.769234655053879,
        -0.953089922968502,  0.675414500990883,  0.491559233076259,  0.222324578022381,
        -0.0469100770314981, -0.230765344946121, 0.491559233076259,  0.307703965161636,
        0.0384693101077573,  -0.230765344946121, -0.414620612860745, 0.222324578022381,
        0.0384693101077573,  -0.230765344946121, -0.500000000000000, -0.683855267914623,
        -0.0469100770314981, -0.230765344946121, -0.500000000000000, -0.769234655053879,
        -0.953089922968502,  -0.230765344946121, -0.414620612860745, -0.683855267914623,
        -0.953089922968502,  -1.13694519088313,  0.406179845937004,  0.222324578022381,
        -0.0469100770314981, -0.316144732085377, -0.500000000000000, 0.222324578022381,
        0.0384693101077573,  -0.230765344946121, -0.500000000000000, -0.683855267914623,
        -0.0469100770314981, -0.230765344946121, -0.500000000000000, -0.769234655053879,
        -0.953089922968502,  -0.316144732085377, -0.500000000000000, -0.769234655053879,
        -1.03846931010776,   -1.22232457802238,  -0.500000000000000, -0.683855267914623,
        -0.953089922968502,  -1.22232457802238,  -1.40617984593700,  0.136945190883125,
        -0.0469100770314981, -0.316144732085377, -0.585379387139255, -0.769234655053879,
        -0.0469100770314981, -0.230765344946121, -0.500000000000000, -0.769234655053879,
        -0.953089922968502,  -0.316144732085377, -0.500000000000000, -0.769234655053879,
        -1.03846931010776,   -1.22232457802238,  -0.585379387139255, -0.769234655053879,
        -1.03846931010776,   -1.30770396516164,  -1.49155923307626,  -0.769234655053879,
        -0.953089922968502,  -1.22232457802238,  -1.49155923307626,  -1.67541450099088,
        -0.0469100770314981, -0.230765344946121, -0.500000000000000, -0.769234655053879,
        -0.953089922968502,  -0.230765344946121, -0.414620612860745, -0.683855267914623,
        -0.953089922968502,  -1.13694519088313,  -0.500000000000000, -0.683855267914623,
        -0.953089922968502,  -1.22232457802238,  -1.40617984593700,  -0.769234655053879,
        -0.953089922968502,  -1.22232457802238,  -1.49155923307626,  -1.67541450099088,
        -0.953089922968502,  -1.13694519088313,  -1.40617984593700,  -1.67541450099088,
        -1.85926976890551,   0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.0469100770314981, 0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.230765344946121,  0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.500000000000000,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.769234655053879,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.953089922968502,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.0469100770314981, 0.0469100770314981,
        0.0469100770314981,  0.0469100770314981, 0.0469100770314981, 0.230765344946121,
        0.230765344946121,   0.230765344946121,  0.230765344946121,  0.230765344946121,
        0.500000000000000,   0.500000000000000,  0.500000000000000,  0.500000000000000,
        0.500000000000000,   0.769234655053879,  0.769234655053879,  0.769234655053879,
        0.769234655053879,   0.769234655053879,  0.953089922968502,  0.953089922968502,
        0.953089922968502,   0.953089922968502,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502,
        0.0469100770314981,  0.230765344946121,  0.500000000000000,  0.769234655053879,
        0.953089922968502,   0.0469100770314981, 0.230765344946121,  0.500000000000000,
        0.769234655053879,   0.953089922968502,  0.0469100770314981, 0.230765344946121,
        0.500000000000000,   0.769234655053879,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502,
        0.0469100770314981,  0.230765344946121,  0.500000000000000,  0.769234655053879,
        0.953089922968502,   0.0469100770314981, 0.230765344946121,  0.500000000000000,
        0.769234655053879,   0.953089922968502,  0.0469100770314981, 0.230765344946121,
        0.500000000000000,   0.769234655053879,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502,
        0.0469100770314981,  0.230765344946121,  0.500000000000000,  0.769234655053879,
        0.953089922968502,   0.0469100770314981, 0.230765344946121,  0.500000000000000,
        0.769234655053879,   0.953089922968502,  0.0469100770314981, 0.230765344946121,
        0.500000000000000,   0.769234655053879,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502,
        0.0469100770314981,  0.230765344946121,  0.500000000000000,  0.769234655053879,
        0.953089922968502,   0.0469100770314981, 0.230765344946121,  0.500000000000000,
        0.769234655053879,   0.953089922968502,  0.0469100770314981, 0.230765344946121,
        0.500000000000000,   0.769234655053879,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502,
        0.0469100770314981,  0.230765344946121,  0.500000000000000,  0.769234655053879,
        0.953089922968502,   0.0469100770314981, 0.230765344946121,  0.500000000000000,
        0.769234655053879,   0.953089922968502,  0.0469100770314981, 0.230765344946121,
        0.500000000000000,   0.769234655053879,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502,
        0.0469100770314981,  0.230765344946121,  0.500000000000000,  0.769234655053879,
        0.953089922968502,   0.0469100770314981, 0.230765344946121,  0.500000000000000,
        0.769234655053879,   0.953089922968502,  0.0469100770314981, 0.230765344946121,
        0.500000000000000,   0.769234655053879,  0.953089922968502,  0.0469100770314981,
        0.230765344946121,   0.500000000000000,  0.769234655053879,  0.953089922968502};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.00166246705257855, 0.00335843859566425, 0.00399177591911858, 0.00335843859566425,
        0.00166246705257855, 0.00335843859566425, 0.00678456140430147, 0.00806400000001054,
        0.00678456140430147, 0.00335843859566425, 0.00399177591911857, 0.00806400000001054,
        0.00958471625873142, 0.00806400000001054, 0.00399177591911857, 0.00335843859566425,
        0.00678456140430147, 0.00806400000001054, 0.00678456140430147, 0.00335843859566425,
        0.00166246705257855, 0.00335843859566425, 0.00399177591911858, 0.00335843859566425,
        0.00166246705257855, 0.00335843859566425, 0.00678456140430147, 0.00806400000001054,
        0.00678456140430147, 0.00335843859566425, 0.00678456140430147, 0.0137058553067376,
        0.0162905176336974,  0.0137058553067376,  0.00678456140430147, 0.00806400000001054,
        0.0162905176336974,  0.0193625978703679,  0.0162905176336974,  0.00806400000001054,
        0.00678456140430147, 0.0137058553067376,  0.0162905176336974,  0.0137058553067376,
        0.00678456140430147, 0.00335843859566425, 0.00678456140430147, 0.00806400000001054,
        0.00678456140430147, 0.00335843859566425, 0.00399177591911857, 0.00806400000001054,
        0.00958471625873142, 0.00806400000001054, 0.00399177591911857, 0.00806400000001054,
        0.0162905176336974,  0.0193625978703679,  0.0162905176336974,  0.00806400000001054,
        0.00958471625873142, 0.0193625978703679,  0.0230140137176527,  0.0193625978703679,
        0.00958471625873142, 0.00806400000001054, 0.0162905176336974,  0.0193625978703679,
        0.0162905176336974,  0.00806400000001054, 0.00399177591911857, 0.00806400000001054,
        0.00958471625873142, 0.00806400000001054, 0.00399177591911857, 0.00335843859566425,
        0.00678456140430147, 0.00806400000001054, 0.00678456140430147, 0.00335843859566425,
        0.00678456140430147, 0.0137058553067376,  0.0162905176336974,  0.0137058553067376,
        0.00678456140430147, 0.00806400000001054, 0.0162905176336974,  0.0193625978703679,
        0.0162905176336974,  0.00806400000001054, 0.00678456140430147, 0.0137058553067376,
        0.0162905176336974,  0.0137058553067376,  0.00678456140430147, 0.00335843859566425,
        0.00678456140430147, 0.00806400000001054, 0.00678456140430147, 0.00335843859566425,
        0.00166246705257855, 0.00335843859566425, 0.00399177591911858, 0.00335843859566425,
        0.00166246705257855, 0.00335843859566425, 0.00678456140430147, 0.00806400000001054,
        0.00678456140430147, 0.00335843859566425, 0.00399177591911857, 0.00806400000001054,
        0.00958471625873142, 0.00806400000001054, 0.00399177591911857, 0.00335843859566425,
        0.00678456140430147, 0.00806400000001054, 0.00678456140430147, 0.00335843859566425,
        0.00166246705257855, 0.00335843859566425, 0.00399177591911858, 0.00335843859566425,
        0.00166246705257855};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 6, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 6;
    inline static int constexpr kPoints                                       = 216;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.898704271308816,   0.763074207439786,   0.551779107247057,   0.313159921164697,
        0.101864820971969,   -0.0337652428970614, 0.763074207439786,   0.627444143570756,
        0.416149043378027,   0.177529857295667,   -0.0337652428970614, -0.169395306766091,
        0.551779107247057,   0.416149043378027,   0.204853943185299,   -0.0337652428970614,
        -0.245060343089790,  -0.380690406958820,  0.313159921164697,   0.177529857295667,
        -0.0337652428970614, -0.272384428979422,  -0.483679529172150,  -0.619309593041180,
        0.101864820971969,   -0.0337652428970614, -0.245060343089790,  -0.483679529172150,
        -0.694974629364879,  -0.830604693233909,  -0.0337652428970614, -0.169395306766091,
        -0.380690406958820,  -0.619309593041180,  -0.830604693233909,  -0.966234757102939,
        0.763074207439786,   0.627444143570756,   0.416149043378027,   0.177529857295667,
        -0.0337652428970614, -0.169395306766091,  0.627444143570756,   0.491814079701726,
        0.280518979508997,   0.0418997934266372,  -0.169395306766091,  -0.305025370635121,
        0.416149043378027,   0.280518979508997,   0.0692238793162687,  -0.169395306766091,
        -0.380690406958820,  -0.516320470827850,  0.177529857295667,   0.0418997934266372,
        -0.169395306766091,  -0.408014492848451,  -0.619309593041180,  -0.754939656910210,
        -0.0337652428970614, -0.169395306766091,  -0.380690406958820,  -0.619309593041180,
        -0.830604693233909,  -0.966234757102939,  -0.169395306766091,  -0.305025370635121,
        -0.516320470827850,  -0.754939656910210,  -0.966234757102939,  -1.10186482097197,
        0.551779107247057,   0.416149043378027,   0.204853943185299,   -0.0337652428970614,
        -0.245060343089790,  -0.380690406958820,  0.416149043378027,   0.280518979508997,
        0.0692238793162687,  -0.169395306766091,  -0.380690406958820,  -0.516320470827850,
        0.204853943185299,   0.0692238793162687,  -0.142071220876460,  -0.380690406958820,
        -0.591985507151549,  -0.727615571020578,  -0.0337652428970614, -0.169395306766091,
        -0.380690406958820,  -0.619309593041180,  -0.830604693233909,  -0.966234757102939,
        -0.245060343089790,  -0.380690406958820,  -0.591985507151549,  -0.830604693233909,
        -1.04189979342664,   -1.17752985729567,   -0.380690406958820,  -0.516320470827850,
        -0.727615571020578,  -0.966234757102939,  -1.17752985729567,   -1.31315992116470,
        0.313159921164697,   0.177529857295667,   -0.0337652428970614, -0.272384428979422,
        -0.483679529172150,  -0.619309593041180,  0.177529857295667,   0.0418997934266372,
        -0.169395306766091,  -0.408014492848451,  -0.619309593041180,  -0.754939656910210,
        -0.0337652428970614, -0.169395306766091,  -0.380690406958820,  -0.619309593041180,
        -0.830604693233909,  -0.966234757102939,  -0.272384428979422,  -0.408014492848451,
        -0.619309593041180,  -0.857928779123540,  -1.06922387931627,   -1.20485394318530,
        -0.483679529172150,  -0.619309593041180,  -0.830604693233909,  -1.06922387931627,
        -1.28051897950900,   -1.41614904337803,   -0.619309593041180,  -0.754939656910210,
        -0.966234757102939,  -1.20485394318530,   -1.41614904337803,   -1.55177910724706,
        0.101864820971969,   -0.0337652428970614, -0.245060343089790,  -0.483679529172150,
        -0.694974629364879,  -0.830604693233909,  -0.0337652428970614, -0.169395306766091,
        -0.380690406958820,  -0.619309593041180,  -0.830604693233909,  -0.966234757102939,
        -0.245060343089790,  -0.380690406958820,  -0.591985507151549,  -0.830604693233909,
        -1.04189979342664,   -1.17752985729567,   -0.483679529172150,  -0.619309593041180,
        -0.830604693233909,  -1.06922387931627,   -1.28051897950900,   -1.41614904337803,
        -0.694974629364879,  -0.830604693233909,  -1.04189979342664,   -1.28051897950900,
        -1.49181407970173,   -1.62744414357076,   -0.830604693233909,  -0.966234757102939,
        -1.17752985729567,   -1.41614904337803,   -1.62744414357076,   -1.76307420743979,
        -0.0337652428970614, -0.169395306766091,  -0.380690406958820,  -0.619309593041180,
        -0.830604693233909,  -0.966234757102939,  -0.169395306766091,  -0.305025370635121,
        -0.516320470827850,  -0.754939656910210,  -0.966234757102939,  -1.10186482097197,
        -0.380690406958820,  -0.516320470827850,  -0.727615571020578,  -0.966234757102939,
        -1.17752985729567,   -1.31315992116470,   -0.619309593041180,  -0.754939656910210,
        -0.966234757102939,  -1.20485394318530,   -1.41614904337803,   -1.55177910724706,
        -0.830604693233909,  -0.966234757102939,  -1.17752985729567,   -1.41614904337803,
        -1.62744414357076,   -1.76307420743979,   -0.966234757102939,  -1.10186482097197,
        -1.31315992116470,   -1.55177910724706,   -1.76307420743979,   -1.89870427130882,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.0337652428970614,  0.0337652428970614,  0.0337652428970614,
        0.0337652428970614,  0.0337652428970614,  0.169395306766091,   0.169395306766091,
        0.169395306766091,   0.169395306766091,   0.169395306766091,   0.169395306766091,
        0.380690406958820,   0.380690406958820,   0.380690406958820,   0.380690406958820,
        0.380690406958820,   0.380690406958820,   0.619309593041180,   0.619309593041180,
        0.619309593041180,   0.619309593041180,   0.619309593041180,   0.619309593041180,
        0.830604693233909,   0.830604693233909,   0.830604693233909,   0.830604693233909,
        0.830604693233909,   0.830604693233909,   0.966234757102939,   0.966234757102939,
        0.966234757102939,   0.966234757102939,   0.966234757102939,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939,
        0.0337652428970614,  0.169395306766091,   0.380690406958820,   0.619309593041180,
        0.830604693233909,   0.966234757102939,   0.0337652428970614,  0.169395306766091,
        0.380690406958820,   0.619309593041180,   0.830604693233909,   0.966234757102939};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.000628591311957382, 0.00132363789529424,  0.00171678100387522,  0.00171678100387522,
        0.00132363789529424,  0.000628591311957382, 0.00132363789529424,  0.00278721204784605,
        0.00361506172838195,  0.00361506172838195,  0.00278721204784605,  0.00132363789529424,
        0.00171678100387522,  0.00361506172838195,  0.00468879693244413,  0.00468879693244413,
        0.00361506172838195,  0.00171678100387522,  0.00171678100387522,  0.00361506172838195,
        0.00468879693244413,  0.00468879693244413,  0.00361506172838195,  0.00171678100387522,
        0.00132363789529424,  0.00278721204784605,  0.00361506172838195,  0.00361506172838195,
        0.00278721204784605,  0.00132363789529424,  0.000628591311957382, 0.00132363789529424,
        0.00171678100387522,  0.00171678100387522,  0.00132363789529424,  0.000628591311957382,
        0.00132363789529424,  0.00278721204784605,  0.00361506172838195,  0.00361506172838195,
        0.00278721204784605,  0.00132363789529424,  0.00278721204784605,  0.00586909080442371,
        0.00761231122112403,  0.00761231122112403,  0.00586909080442371,  0.00278721204784605,
        0.00361506172838195,  0.00761231122112403,  0.00987329793629606,  0.00987329793629606,
        0.00761231122112403,  0.00361506172838195,  0.00361506172838195,  0.00761231122112403,
        0.00987329793629606,  0.00987329793629606,  0.00761231122112403,  0.00361506172838195,
        0.00278721204784605,  0.00586909080442371,  0.00761231122112403,  0.00761231122112403,
        0.00586909080442371,  0.00278721204784605,  0.00132363789529424,  0.00278721204784605,
        0.00361506172838195,  0.00361506172838195,  0.00278721204784605,  0.00132363789529424,
        0.00171678100387522,  0.00361506172838195,  0.00468879693244413,  0.00468879693244413,
        0.00361506172838195,  0.00171678100387522,  0.00361506172838195,  0.00761231122112403,
        0.00987329793629606,  0.00987329793629606,  0.00761231122112403,  0.00361506172838195,
        0.00468879693244413,  0.00987329793629606,  0.0128058364020059,   0.0128058364020059,
        0.00987329793629606,  0.00468879693244413,  0.00468879693244413,  0.00987329793629606,
        0.0128058364020059,   0.0128058364020059,   0.00987329793629606,  0.00468879693244413,
        0.00361506172838195,  0.00761231122112403,  0.00987329793629606,  0.00987329793629606,
        0.00761231122112403,  0.00361506172838195,  0.00171678100387522,  0.00361506172838195,
        0.00468879693244413,  0.00468879693244413,  0.00361506172838195,  0.00171678100387522,
        0.00171678100387522,  0.00361506172838195,  0.00468879693244413,  0.00468879693244413,
        0.00361506172838195,  0.00171678100387522,  0.00361506172838195,  0.00761231122112403,
        0.00987329793629606,  0.00987329793629606,  0.00761231122112403,  0.00361506172838195,
        0.00468879693244413,  0.00987329793629606,  0.0128058364020059,   0.0128058364020059,
        0.00987329793629606,  0.00468879693244413,  0.00468879693244413,  0.00987329793629606,
        0.0128058364020059,   0.0128058364020059,   0.00987329793629606,  0.00468879693244413,
        0.00361506172838195,  0.00761231122112403,  0.00987329793629606,  0.00987329793629606,
        0.00761231122112403,  0.00361506172838195,  0.00171678100387522,  0.00361506172838195,
        0.00468879693244413,  0.00468879693244413,  0.00361506172838195,  0.00171678100387522,
        0.00132363789529424,  0.00278721204784605,  0.00361506172838195,  0.00361506172838195,
        0.00278721204784605,  0.00132363789529424,  0.00278721204784605,  0.00586909080442371,
        0.00761231122112403,  0.00761231122112403,  0.00586909080442371,  0.00278721204784605,
        0.00361506172838195,  0.00761231122112403,  0.00987329793629606,  0.00987329793629606,
        0.00761231122112403,  0.00361506172838195,  0.00361506172838195,  0.00761231122112403,
        0.00987329793629606,  0.00987329793629606,  0.00761231122112403,  0.00361506172838195,
        0.00278721204784605,  0.00586909080442371,  0.00761231122112403,  0.00761231122112403,
        0.00586909080442371,  0.00278721204784605,  0.00132363789529424,  0.00278721204784605,
        0.00361506172838195,  0.00361506172838195,  0.00278721204784605,  0.00132363789529424,
        0.000628591311957382, 0.00132363789529424,  0.00171678100387522,  0.00171678100387522,
        0.00132363789529424,  0.000628591311957382, 0.00132363789529424,  0.00278721204784605,
        0.00361506172838195,  0.00361506172838195,  0.00278721204784605,  0.00132363789529424,
        0.00171678100387522,  0.00361506172838195,  0.00468879693244413,  0.00468879693244413,
        0.00361506172838195,  0.00171678100387522,  0.00171678100387522,  0.00361506172838195,
        0.00468879693244413,  0.00468879693244413,  0.00361506172838195,  0.00171678100387522,
        0.00132363789529424,  0.00278721204784605,  0.00361506172838195,  0.00361506172838195,
        0.00278721204784605,  0.00132363789529424,  0.000628591311957382, 0.00132363789529424,
        0.00171678100387522,  0.00171678100387522,  0.00132363789529424,  0.000628591311957382};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 7, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 7;
    inline static int constexpr kPoints                                       = 343;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.923661868509953,   0.819873505141004,   0.652030488028686,   0.449107912339969,
        0.246185336651251,   0.0783423195389332,  -0.0254460438300157, 0.819873505141004,
        0.716085141772055,   0.548242124659737,   0.345319548971020,   0.142396973282302,
        -0.0254460438300157, -0.129234407198965,  0.652030488028686,   0.548242124659737,
        0.380399107547419,   0.177476531858701,   -0.0254460438300157, -0.193289060942334,
        -0.297077424311283,  0.449107912339969,   0.345319548971020,   0.177476531858701,
        -0.0254460438300157, -0.228368619518733,  -0.396211636631051,  -0.500000000000000,
        0.246185336651251,   0.142396973282302,   -0.0254460438300157, -0.228368619518733,
        -0.431291195207450,  -0.599134212319768,  -0.702922575688717,  0.0783423195389332,
        -0.0254460438300157, -0.193289060942334,  -0.396211636631051,  -0.599134212319768,
        -0.766977229432086,  -0.870765592801035,  -0.0254460438300157, -0.129234407198965,
        -0.297077424311283,  -0.500000000000000,  -0.702922575688717,  -0.870765592801035,
        -0.974553956169984,  0.819873505141004,   0.716085141772055,   0.548242124659737,
        0.345319548971020,   0.142396973282302,   -0.0254460438300157, -0.129234407198965,
        0.716085141772055,   0.612296778403106,   0.444453761290788,   0.241531185602071,
        0.0386086099133536,  -0.129234407198965,  -0.233022770567914,  0.548242124659737,
        0.444453761290788,   0.276610744178470,   0.0736881684897526,  -0.129234407198965,
        -0.297077424311283,  -0.400865787680232,  0.345319548971020,   0.241531185602071,
        0.0736881684897526,  -0.129234407198965,  -0.332156982887682,  -0.500000000000000,
        -0.603788363368949,  0.142396973282302,   0.0386086099133536,  -0.129234407198965,
        -0.332156982887682,  -0.535079558576399,  -0.702922575688717,  -0.806710939057666,
        -0.0254460438300157, -0.129234407198965,  -0.297077424311283,  -0.500000000000000,
        -0.702922575688717,  -0.870765592801035,  -0.974553956169984,  -0.129234407198965,
        -0.233022770567914,  -0.400865787680232,  -0.603788363368949,  -0.806710939057666,
        -0.974553956169984,  -1.07834231953893,   0.652030488028686,   0.548242124659737,
        0.380399107547419,   0.177476531858701,   -0.0254460438300157, -0.193289060942334,
        -0.297077424311283,  0.548242124659737,   0.444453761290788,   0.276610744178470,
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        0.702922575688717,   0.702922575688717,   0.702922575688717,   0.702922575688717,
        0.870765592801035,   0.870765592801035,   0.870765592801035,   0.870765592801035,
        0.870765592801035,   0.870765592801035,   0.870765592801035,   0.974553956169984,
        0.974553956169984,   0.974553956169984,   0.974553956169984,   0.974553956169984,
        0.974553956169984,   0.974553956169984,   0.0254460438300157,  0.0254460438300157,
        0.0254460438300157,  0.0254460438300157,  0.0254460438300157,  0.0254460438300157,
        0.0254460438300157,  0.129234407198965,   0.129234407198965,   0.129234407198965,
        0.129234407198965,   0.129234407198965,   0.129234407198965,   0.129234407198965,
        0.297077424311283,   0.297077424311283,   0.297077424311283,   0.297077424311283,
        0.297077424311283,   0.297077424311283,   0.297077424311283,   0.500000000000000,
        0.500000000000000,   0.500000000000000,   0.500000000000000,   0.500000000000000,
        0.500000000000000,   0.500000000000000,   0.702922575688717,   0.702922575688717,
        0.702922575688717,   0.702922575688717,   0.702922575688717,   0.702922575688717,
        0.702922575688717,   0.870765592801035,   0.870765592801035,   0.870765592801035,
        0.870765592801035,   0.870765592801035,   0.870765592801035,   0.870765592801035,
        0.974553956169984,   0.974553956169984,   0.974553956169984,   0.974553956169984,
        0.974553956169984,   0.974553956169984,   0.974553956169984,   0.0254460438300157,
        0.0254460438300157,  0.0254460438300157,  0.0254460438300157,  0.0254460438300157,
        0.0254460438300157,  0.0254460438300157,  0.129234407198965,   0.129234407198965,
        0.129234407198965,   0.129234407198965,   0.129234407198965,   0.129234407198965,
        0.129234407198965,   0.297077424311283,   0.297077424311283,   0.297077424311283,
        0.297077424311283,   0.297077424311283,   0.297077424311283,   0.297077424311283,
        0.500000000000000,   0.500000000000000,   0.500000000000000,   0.500000000000000,
        0.500000000000000,   0.500000000000000,   0.500000000000000,   0.702922575688717,
        0.702922575688717,   0.702922575688717,   0.702922575688717,   0.702922575688717,
        0.702922575688717,   0.702922575688717,   0.870765592801035,   0.870765592801035,
        0.870765592801035,   0.870765592801035,   0.870765592801035,   0.870765592801035,
        0.870765592801035,   0.974553956169984,   0.974553956169984,   0.974553956169984,
        0.974553956169984,   0.974553956169984,   0.974553956169984,   0.974553956169984,
        0.0254460438300157,  0.0254460438300157,  0.0254460438300157,  0.0254460438300157,
        0.0254460438300157,  0.0254460438300157,  0.0254460438300157,  0.129234407198965,
        0.129234407198965,   0.129234407198965,   0.129234407198965,   0.129234407198965,
        0.129234407198965,   0.129234407198965,   0.297077424311283,   0.297077424311283,
        0.297077424311283,   0.297077424311283,   0.297077424311283,   0.297077424311283,
        0.297077424311283,   0.500000000000000,   0.500000000000000,   0.500000000000000,
        0.500000000000000,   0.500000000000000,   0.500000000000000,   0.500000000000000,
        0.702922575688717,   0.702922575688717,   0.702922575688717,   0.702922575688717,
        0.702922575688717,   0.702922575688717,   0.702922575688717,   0.870765592801035,
        0.870765592801035,   0.870765592801035,   0.870765592801035,   0.870765592801035,
        0.870765592801035,   0.870765592801035,   0.974553956169984,   0.974553956169984,
        0.974553956169984,   0.974553956169984,   0.974553956169984,   0.974553956169984,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984,
        0.0254460438300157,  0.129234407198965,   0.297077424311283,   0.500000000000000,
        0.702922575688717,   0.870765592801035,   0.974553956169984,   0.0254460438300157,
        0.129234407198965,   0.297077424311283,   0.500000000000000,   0.702922575688717,
        0.870765592801035,   0.974553956169984,   0.0254460438300157,  0.129234407198965,
        0.297077424311283,   0.500000000000000,   0.702922575688717,   0.870765592801035,
        0.974553956169984,   0.0254460438300157,  0.129234407198965,   0.297077424311283,
        0.500000000000000,   0.702922575688717,   0.870765592801035,   0.974553956169984};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.000271373887442091, 0.000586205037323298, 0.000800237341929313, 0.000875956582608773,
        0.000800237341929313, 0.000586205037323298, 0.000271373887442091, 0.000586205037323298,
        0.00126628375715235,  0.00172862306434429,  0.00189218707091462,  0.00172862306434429,
        0.00126628375715235,  0.000586205037323298, 0.000800237341929313, 0.00172862306434429,
        0.00235976942901238,  0.00258305312246342,  0.00235976942901238,  0.00172862306434429,
        0.000800237341929313, 0.000875956582608773, 0.00189218707091462,  0.00258305312246342,
        0.00282746413757063,  0.00258305312246342,  0.00189218707091462,  0.000875956582608773,
        0.000800237341929313, 0.00172862306434429,  0.00235976942901238,  0.00258305312246342,
        0.00235976942901238,  0.00172862306434429,  0.000800237341929313, 0.000586205037323298,
        0.00126628375715235,  0.00172862306434429,  0.00189218707091462,  0.00172862306434429,
        0.00126628375715235,  0.000586205037323298, 0.000271373887442091, 0.000586205037323298,
        0.000800237341929313, 0.000875956582608773, 0.000800237341929313, 0.000586205037323298,
        0.000271373887442091, 0.000586205037323298, 0.00126628375715235,  0.00172862306434429,
        0.00189218707091462,  0.00172862306434429,  0.00126628375715235,  0.000586205037323298,
        0.00126628375715235,  0.00273534761992080,  0.00373406431069421,  0.00408738513120525,
        0.00373406431069421,  0.00273534761992080,  0.00126628375715235,  0.00172862306434429,
        0.00373406431069421,  0.00509742753529949,  0.00557975111877648,  0.00509742753529949,
        0.00373406431069421,  0.00172862306434429,  0.00189218707091462,  0.00408738513120525,
        0.00557975111877648,  0.00610771263188898,  0.00557975111877648,  0.00408738513120525,
        0.00189218707091462,  0.00172862306434429,  0.00373406431069421,  0.00509742753529949,
        0.00557975111877648,  0.00509742753529949,  0.00373406431069421,  0.00172862306434429,
        0.00126628375715235,  0.00273534761992080,  0.00373406431069421,  0.00408738513120525,
        0.00373406431069421,  0.00273534761992080,  0.00126628375715235,  0.000586205037323298,
        0.00126628375715235,  0.00172862306434429,  0.00189218707091462,  0.00172862306434429,
        0.00126628375715235,  0.000586205037323298, 0.000800237341929313, 0.00172862306434429,
        0.00235976942901238,  0.00258305312246342,  0.00235976942901238,  0.00172862306434429,
        0.000800237341929313, 0.00172862306434429,  0.00373406431069421,  0.00509742753529949,
        0.00557975111877648,  0.00509742753529949,  0.00373406431069421,  0.00172862306434429,
        0.00235976942901238,  0.00509742753529949,  0.00695857524553421,  0.00761700244730965,
        0.00695857524553421,  0.00509742753529949,  0.00235976942901238,  0.00258305312246342,
        0.00557975111877648,  0.00761700244730965,  0.00833773067547926,  0.00761700244730965,
        0.00557975111877648,  0.00258305312246342,  0.00235976942901238,  0.00509742753529949,
        0.00695857524553421,  0.00761700244730965,  0.00695857524553421,  0.00509742753529949,
        0.00235976942901238,  0.00172862306434429,  0.00373406431069421,  0.00509742753529949,
        0.00557975111877648,  0.00509742753529949,  0.00373406431069421,  0.00172862306434429,
        0.000800237341929313, 0.00172862306434429,  0.00235976942901238,  0.00258305312246342,
        0.00235976942901238,  0.00172862306434429,  0.000800237341929313, 0.000875956582608773,
        0.00189218707091462,  0.00258305312246342,  0.00282746413757063,  0.00258305312246342,
        0.00189218707091462,  0.000875956582608773, 0.00189218707091462,  0.00408738513120525,
        0.00557975111877648,  0.00610771263188898,  0.00557975111877648,  0.00408738513120525,
        0.00189218707091462,  0.00258305312246342,  0.00557975111877648,  0.00761700244730965,
        0.00833773067547926,  0.00761700244730965,  0.00557975111877648,  0.00258305312246342,
        0.00282746413757063,  0.00610771263188898,  0.00833773067547926,  0.00912665491414956,
        0.00833773067547926,  0.00610771263188898,  0.00282746413757063,  0.00258305312246342,
        0.00557975111877648,  0.00761700244730965,  0.00833773067547926,  0.00761700244730965,
        0.00557975111877648,  0.00258305312246342,  0.00189218707091462,  0.00408738513120525,
        0.00557975111877648,  0.00610771263188898,  0.00557975111877648,  0.00408738513120525,
        0.00189218707091462,  0.000875956582608773, 0.00189218707091462,  0.00258305312246342,
        0.00282746413757063,  0.00258305312246342,  0.00189218707091462,  0.000875956582608773,
        0.000800237341929313, 0.00172862306434429,  0.00235976942901238,  0.00258305312246342,
        0.00235976942901238,  0.00172862306434429,  0.000800237341929313, 0.00172862306434429,
        0.00373406431069421,  0.00509742753529949,  0.00557975111877648,  0.00509742753529949,
        0.00373406431069421,  0.00172862306434429,  0.00235976942901238,  0.00509742753529949,
        0.00695857524553421,  0.00761700244730965,  0.00695857524553421,  0.00509742753529949,
        0.00235976942901238,  0.00258305312246342,  0.00557975111877648,  0.00761700244730965,
        0.00833773067547926,  0.00761700244730965,  0.00557975111877648,  0.00258305312246342,
        0.00235976942901238,  0.00509742753529949,  0.00695857524553421,  0.00761700244730965,
        0.00695857524553421,  0.00509742753529949,  0.00235976942901238,  0.00172862306434429,
        0.00373406431069421,  0.00509742753529949,  0.00557975111877648,  0.00509742753529949,
        0.00373406431069421,  0.00172862306434429,  0.000800237341929313, 0.00172862306434429,
        0.00235976942901238,  0.00258305312246342,  0.00235976942901238,  0.00172862306434429,
        0.000800237341929313, 0.000586205037323298, 0.00126628375715235,  0.00172862306434429,
        0.00189218707091462,  0.00172862306434429,  0.00126628375715235,  0.000586205037323298,
        0.00126628375715235,  0.00273534761992080,  0.00373406431069421,  0.00408738513120525,
        0.00373406431069421,  0.00273534761992080,  0.00126628375715235,  0.00172862306434429,
        0.00373406431069421,  0.00509742753529949,  0.00557975111877648,  0.00509742753529949,
        0.00373406431069421,  0.00172862306434429,  0.00189218707091462,  0.00408738513120525,
        0.00557975111877648,  0.00610771263188898,  0.00557975111877648,  0.00408738513120525,
        0.00189218707091462,  0.00172862306434429,  0.00373406431069421,  0.00509742753529949,
        0.00557975111877648,  0.00509742753529949,  0.00373406431069421,  0.00172862306434429,
        0.00126628375715235,  0.00273534761992080,  0.00373406431069421,  0.00408738513120525,
        0.00373406431069421,  0.00273534761992080,  0.00126628375715235,  0.000586205037323298,
        0.00126628375715235,  0.00172862306434429,  0.00189218707091462,  0.00172862306434429,
        0.00126628375715235,  0.000586205037323298, 0.000271373887442091, 0.000586205037323298,
        0.000800237341929313, 0.000875956582608773, 0.000800237341929313, 0.000586205037323298,
        0.000271373887442091, 0.000586205037323298, 0.00126628375715235,  0.00172862306434429,
        0.00189218707091462,  0.00172862306434429,  0.00126628375715235,  0.000586205037323298,
        0.000800237341929313, 0.00172862306434429,  0.00235976942901238,  0.00258305312246342,
        0.00235976942901238,  0.00172862306434429,  0.000800237341929313, 0.000875956582608773,
        0.00189218707091462,  0.00258305312246342,  0.00282746413757063,  0.00258305312246342,
        0.00189218707091462,  0.000875956582608773, 0.000800237341929313, 0.00172862306434429,
        0.00235976942901238,  0.00258305312246342,  0.00235976942901238,  0.00172862306434429,
        0.000800237341929313, 0.000586205037323298, 0.00126628375715235,  0.00172862306434429,
        0.00189218707091462,  0.00172862306434429,  0.00126628375715235,  0.000586205037323298,
        0.000271373887442091, 0.000586205037323298, 0.000800237341929313, 0.000875956582608773,
        0.000800237341929313, 0.000586205037323298, 0.000271373887442091};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 8, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 8;
    inline static int constexpr kPoints                                       = 512;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.940434784748504,   0.858623095205985,   0.723056061455281,   0.552007177746418,
        0.368572535251587,   0.197523651542724,   0.0619566177920206,  -0.0198550717504986,
        0.858623095205985,   0.776811405663466,   0.641244371912762,   0.470195488203899,
        0.286760845709068,   0.115711962000205,   -0.0198550717504986, -0.101666761293018,
        0.723056061455281,   0.641244371912762,   0.505677338162059,   0.334628454453195,
        0.151193811958365,   -0.0198550717504986, -0.155422105501202,  -0.237233795043721,
        0.552007177746418,   0.470195488203899,   0.334628454453195,   0.163579570744332,
        -0.0198550717504986, -0.190903955459362,  -0.326470989210065,  -0.408282678752585,
        0.368572535251587,   0.286760845709068,   0.151193811958365,   -0.0198550717504986,
        -0.203289714245329,  -0.374338597954193,  -0.509905631704896,  -0.591717321247415,
        0.197523651542724,   0.115711962000205,   -0.0198550717504986, -0.190903955459362,
        -0.374338597954193,  -0.545387481663056,  -0.680954515413760,  -0.762766204956279,
        0.0619566177920206,  -0.0198550717504986, -0.155422105501202,  -0.326470989210065,
        -0.509905631704896,  -0.680954515413760,  -0.816521549164463,  -0.898333238706982,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        0.858623095205985,   0.776811405663466,   0.641244371912762,   0.470195488203899,
        0.286760845709068,   0.115711962000205,   -0.0198550717504986, -0.101666761293018,
        0.776811405663466,   0.694999716120947,   0.559432682370243,   0.388383798661380,
        0.204949156166549,   0.0339002724576858,  -0.101666761293018,  -0.183478450835537,
        0.641244371912762,   0.559432682370243,   0.423865648619540,   0.252816764910676,
        0.0693821224158455,  -0.101666761293018,  -0.237233795043721,  -0.319045484586240,
        0.470195488203899,   0.388383798661380,   0.252816764910676,   0.0817678812018130,
        -0.101666761293018,  -0.272715645001881,  -0.408282678752585,  -0.490094368295104,
        0.286760845709068,   0.204949156166549,   0.0693821224158455,  -0.101666761293018,
        -0.285101403787849,  -0.456150287496712,  -0.591717321247415,  -0.673529010789935,
        0.115711962000205,   0.0339002724576858,  -0.101666761293018,  -0.272715645001881,
        -0.456150287496712,  -0.627199171205575,  -0.762766204956279,  -0.844577894498798,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.101666761293018,  -0.183478450835537,  -0.319045484586240,  -0.490094368295104,
        -0.673529010789935,  -0.844577894498798,  -0.980144928249501,  -1.06195661779202,
        0.723056061455281,   0.641244371912762,   0.505677338162059,   0.334628454453195,
        0.151193811958365,   -0.0198550717504986, -0.155422105501202,  -0.237233795043721,
        0.641244371912762,   0.559432682370243,   0.423865648619540,   0.252816764910676,
        0.0693821224158455,  -0.101666761293018,  -0.237233795043721,  -0.319045484586240,
        0.505677338162059,   0.423865648619540,   0.288298614868836,   0.117249731159973,
        -0.0661849113348580, -0.237233795043721,  -0.372800828794425,  -0.454612518336944,
        0.334628454453195,   0.252816764910676,   0.117249731159973,   -0.0537991525488906,
        -0.237233795043721,  -0.408282678752585,  -0.543849712503288,  -0.625661402045807,
        0.151193811958365,   0.0693821224158455,  -0.0661849113348580, -0.237233795043721,
        -0.420668437538552,  -0.591717321247415,  -0.727284354998119,  -0.809096044540638,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.155422105501202,  -0.237233795043721,  -0.372800828794425,  -0.543849712503288,
        -0.727284354998119,  -0.898333238706982,  -1.03390027245769,   -1.11571196200020,
        -0.237233795043721,  -0.319045484586240,  -0.454612518336944,  -0.625661402045807,
        -0.809096044540638,  -0.980144928249501,  -1.11571196200020,   -1.19752365154272,
        0.552007177746418,   0.470195488203899,   0.334628454453195,   0.163579570744332,
        -0.0198550717504986, -0.190903955459362,  -0.326470989210065,  -0.408282678752585,
        0.470195488203899,   0.388383798661380,   0.252816764910676,   0.0817678812018130,
        -0.101666761293018,  -0.272715645001881,  -0.408282678752585,  -0.490094368295104,
        0.334628454453195,   0.252816764910676,   0.117249731159973,   -0.0537991525488906,
        -0.237233795043721,  -0.408282678752585,  -0.543849712503288,  -0.625661402045807,
        0.163579570744332,   0.0817678812018130,  -0.0537991525488906, -0.224848036257754,
        -0.408282678752585,  -0.579331562461448,  -0.714898596212151,  -0.796710285754671,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.190903955459362,  -0.272715645001881,  -0.408282678752585,  -0.579331562461448,
        -0.762766204956279,  -0.933815088665142,  -1.06938212241585,   -1.15119381195836,
        -0.326470989210065,  -0.408282678752585,  -0.543849712503288,  -0.714898596212151,
        -0.898333238706982,  -1.06938212241585,   -1.20494915616655,   -1.28676084570907,
        -0.408282678752585,  -0.490094368295104,  -0.625661402045807,  -0.796710285754671,
        -0.980144928249501,  -1.15119381195836,   -1.28676084570907,   -1.36857253525159,
        0.368572535251587,   0.286760845709068,   0.151193811958365,   -0.0198550717504986,
        -0.203289714245329,  -0.374338597954193,  -0.509905631704896,  -0.591717321247415,
        0.286760845709068,   0.204949156166549,   0.0693821224158455,  -0.101666761293018,
        -0.285101403787849,  -0.456150287496712,  -0.591717321247415,  -0.673529010789935,
        0.151193811958365,   0.0693821224158455,  -0.0661849113348580, -0.237233795043721,
        -0.420668437538552,  -0.591717321247415,  -0.727284354998119,  -0.809096044540638,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.203289714245329,  -0.285101403787849,  -0.420668437538552,  -0.591717321247415,
        -0.775151963742246,  -0.946200847451109,  -1.08176788120181,   -1.16357957074433,
        -0.374338597954193,  -0.456150287496712,  -0.591717321247415,  -0.762766204956279,
        -0.946200847451109,  -1.11724973115997,   -1.25281676491068,   -1.33462845445320,
        -0.509905631704896,  -0.591717321247415,  -0.727284354998119,  -0.898333238706982,
        -1.08176788120181,   -1.25281676491068,   -1.38838379866138,   -1.47019548820390,
        -0.591717321247415,  -0.673529010789935,  -0.809096044540638,  -0.980144928249501,
        -1.16357957074433,   -1.33462845445320,   -1.47019548820390,   -1.55200717774642,
        0.197523651542724,   0.115711962000205,   -0.0198550717504986, -0.190903955459362,
        -0.374338597954193,  -0.545387481663056,  -0.680954515413760,  -0.762766204956279,
        0.115711962000205,   0.0339002724576858,  -0.101666761293018,  -0.272715645001881,
        -0.456150287496712,  -0.627199171205575,  -0.762766204956279,  -0.844577894498798,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.190903955459362,  -0.272715645001881,  -0.408282678752585,  -0.579331562461448,
        -0.762766204956279,  -0.933815088665142,  -1.06938212241585,   -1.15119381195836,
        -0.374338597954193,  -0.456150287496712,  -0.591717321247415,  -0.762766204956279,
        -0.946200847451109,  -1.11724973115997,   -1.25281676491068,   -1.33462845445320,
        -0.545387481663056,  -0.627199171205575,  -0.762766204956279,  -0.933815088665142,
        -1.11724973115997,   -1.28829861486884,   -1.42386564861954,   -1.50567733816206,
        -0.680954515413760,  -0.762766204956279,  -0.898333238706982,  -1.06938212241585,
        -1.25281676491068,   -1.42386564861954,   -1.55943268237024,   -1.64124437191276,
        -0.762766204956279,  -0.844577894498798,  -0.980144928249501,  -1.15119381195836,
        -1.33462845445320,   -1.50567733816206,   -1.64124437191276,   -1.72305606145528,
        0.0619566177920206,  -0.0198550717504986, -0.155422105501202,  -0.326470989210065,
        -0.509905631704896,  -0.680954515413760,  -0.816521549164463,  -0.898333238706982,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.155422105501202,  -0.237233795043721,  -0.372800828794425,  -0.543849712503288,
        -0.727284354998119,  -0.898333238706982,  -1.03390027245769,   -1.11571196200020,
        -0.326470989210065,  -0.408282678752585,  -0.543849712503288,  -0.714898596212151,
        -0.898333238706982,  -1.06938212241585,   -1.20494915616655,   -1.28676084570907,
        -0.509905631704896,  -0.591717321247415,  -0.727284354998119,  -0.898333238706982,
        -1.08176788120181,   -1.25281676491068,   -1.38838379866138,   -1.47019548820390,
        -0.680954515413760,  -0.762766204956279,  -0.898333238706982,  -1.06938212241585,
        -1.25281676491068,   -1.42386564861954,   -1.55943268237024,   -1.64124437191276,
        -0.816521549164463,  -0.898333238706982,  -1.03390027245769,   -1.20494915616655,
        -1.38838379866138,   -1.55943268237024,   -1.69499971612095,   -1.77681140566347,
        -0.898333238706982,  -0.980144928249501,  -1.11571196200020,   -1.28676084570907,
        -1.47019548820390,   -1.64124437191276,   -1.77681140566347,   -1.85862309520599,
        -0.0198550717504986, -0.101666761293018,  -0.237233795043721,  -0.408282678752585,
        -0.591717321247415,  -0.762766204956279,  -0.898333238706982,  -0.980144928249501,
        -0.101666761293018,  -0.183478450835537,  -0.319045484586240,  -0.490094368295104,
        -0.673529010789935,  -0.844577894498798,  -0.980144928249501,  -1.06195661779202,
        -0.237233795043721,  -0.319045484586240,  -0.454612518336944,  -0.625661402045807,
        -0.809096044540638,  -0.980144928249501,  -1.11571196200020,   -1.19752365154272,
        -0.408282678752585,  -0.490094368295104,  -0.625661402045807,  -0.796710285754671,
        -0.980144928249501,  -1.15119381195836,   -1.28676084570907,   -1.36857253525159,
        -0.591717321247415,  -0.673529010789935,  -0.809096044540638,  -0.980144928249501,
        -1.16357957074433,   -1.33462845445320,   -1.47019548820390,   -1.55200717774642,
        -0.762766204956279,  -0.844577894498798,  -0.980144928249501,  -1.15119381195836,
        -1.33462845445320,   -1.50567733816206,   -1.64124437191276,   -1.72305606145528,
        -0.898333238706982,  -0.980144928249501,  -1.11571196200020,   -1.28676084570907,
        -1.47019548820390,   -1.64124437191276,   -1.77681140566347,   -1.85862309520599,
        -0.980144928249501,  -1.06195661779202,   -1.19752365154272,   -1.36857253525159,
        -1.55200717774642,   -1.72305606145528,   -1.85862309520599,   -1.94043478474850,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.0198550717504986,  0.0198550717504986,  0.0198550717504986,  0.0198550717504986,
        0.101666761293018,   0.101666761293018,   0.101666761293018,   0.101666761293018,
        0.101666761293018,   0.101666761293018,   0.101666761293018,   0.101666761293018,
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        0.591717321247415,   0.762766204956279,   0.898333238706982,   0.980144928249501,
        0.0198550717504986,  0.101666761293018,   0.237233795043721,   0.408282678752585,
        0.591717321247415,   0.762766204956279,   0.898333238706982,   0.980144928249501};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        0.000129663841667443, 0.000284848327340364, 0.000401827492048938, 0.000464562408855265,
        0.000464562408855265, 0.000401827492048938, 0.000284848327340364, 0.000129663841667443,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000129663841667443, 0.000284848327340364, 0.000401827492048938, 0.000464562408855265,
        0.000464562408855265, 0.000401827492048938, 0.000284848327340364, 0.000129663841667443,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000625760956525599, 0.00137468518199842,  0.00193922956893202,  0.00224198985309024,
        0.00224198985309024,  0.00193922956893202,  0.00137468518199842,  0.000625760956525599,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.000625760956525599, 0.00137468518199842,  0.00193922956893202,  0.00224198985309024,
        0.00224198985309024,  0.00193922956893202,  0.00137468518199842,  0.000625760956525599,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.00124526106345406,  0.00273561639440485,  0.00385905680133476,  0.00446154819919347,
        0.00446154819919347,  0.00385905680133476,  0.00273561639440485,  0.00124526106345406,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00124526106345406,  0.00273561639440485,  0.00385905680133476,  0.00446154819919347,
        0.00446154819919347,  0.00385905680133476,  0.00273561639440485,  0.00124526106345406,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00166444421934473,  0.00365648700312053,  0.00515810296620710,  0.00596340665215813,
        0.00596340665215813,  0.00515810296620710,  0.00365648700312053,  0.00166444421934473,
        0.00166444421934473,  0.00365648700312053,  0.00515810296620710,  0.00596340665215813,
        0.00596340665215813,  0.00515810296620710,  0.00365648700312053,  0.00166444421934473,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00166444421934473,  0.00365648700312053,  0.00515810296620710,  0.00596340665215813,
        0.00596340665215813,  0.00515810296620710,  0.00365648700312053,  0.00166444421934473,
        0.00166444421934473,  0.00365648700312053,  0.00515810296620710,  0.00596340665215813,
        0.00596340665215813,  0.00515810296620710,  0.00365648700312053,  0.00166444421934473,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.00124526106345406,  0.00273561639440485,  0.00385905680133476,  0.00446154819919347,
        0.00446154819919347,  0.00385905680133476,  0.00273561639440485,  0.00124526106345406,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00143967620618012,  0.00316271177815254,  0.00446154819919347,  0.00515810296620710,
        0.00515810296620710,  0.00446154819919347,  0.00316271177815254,  0.00143967620618012,
        0.00124526106345406,  0.00273561639440485,  0.00385905680133476,  0.00446154819919347,
        0.00446154819919347,  0.00385905680133476,  0.00273561639440485,  0.00124526106345406,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000625760956525599, 0.00137468518199842,  0.00193922956893202,  0.00224198985309024,
        0.00224198985309024,  0.00193922956893202,  0.00137468518199842,  0.000625760956525599,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.00102056073154941,  0.00224198985309024,  0.00316271177815254,  0.00365648700312053,
        0.00365648700312053,  0.00316271177815254,  0.00224198985309024,  0.00102056073154941,
        0.000882743311609382, 0.00193922956893202,  0.00273561639440485,  0.00316271177815254,
        0.00316271177815254,  0.00273561639440485,  0.00193922956893202,  0.000882743311609382,
        0.000625760956525599, 0.00137468518199842,  0.00193922956893202,  0.00224198985309024,
        0.00224198985309024,  0.00193922956893202,  0.00137468518199842,  0.000625760956525599,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000129663841667443, 0.000284848327340364, 0.000401827492048938, 0.000464562408855265,
        0.000464562408855265, 0.000401827492048938, 0.000284848327340364, 0.000129663841667443,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.000464562408855265, 0.00102056073154941,  0.00143967620618012,  0.00166444421934473,
        0.00166444421934473,  0.00143967620618012,  0.00102056073154941,  0.000464562408855265,
        0.000401827492048938, 0.000882743311609382, 0.00124526106345406,  0.00143967620618012,
        0.00143967620618012,  0.00124526106345406,  0.000882743311609382, 0.000401827492048938,
        0.000284848327340364, 0.000625760956525599, 0.000882743311609382, 0.00102056073154941,
        0.00102056073154941,  0.000882743311609382, 0.000625760956525599, 0.000284848327340364,
        0.000129663841667443, 0.000284848327340364, 0.000401827492048938, 0.000464562408855265,
        0.000464562408855265, 0.000401827492048938, 0.000284848327340364, 0.000129663841667443};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 9, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 9;
    inline static int constexpr kPoints                                       = 729;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.952240359260031,   0.886175793169969,   0.774845955857018,  0.630286951209200,
        0.468160239506688,   0.306033527804175,   0.161474523156357,  0.0501446858434065,
        -0.0159198802466562, 0.886175793169969,   0.820111227079906,  0.708781389766955,
        0.564222385119137,   0.402095673416625,   0.239968961714112,  0.0954099570662947,
        -0.0159198802466562, -0.0819844463367190, 0.774845955857018,  0.708781389766955,
        0.597451552454004,   0.452892547806186,   0.290765836103674,  0.128639124401161,
        -0.0159198802466562, -0.127249717559607,  -0.193314283649670, 0.630286951209200,
        0.564222385119137,   0.452892547806186,   0.308333543158369,  0.146206831455856,
        -0.0159198802466562, -0.160478884894474,  -0.271808722207425, -0.337873288297487,
        0.468160239506688,   0.402095673416625,   0.290765836103674,  0.146206831455856,
        -0.0159198802466562, -0.178046591949169,  -0.322605596596986, -0.433935433909937,
        -0.500000000000000,  0.306033527804175,   0.239968961714112,  0.128639124401161,
        -0.0159198802466562, -0.178046591949169,  -0.340173303651682, -0.484732308299499,
        -0.596062145612450,  -0.662126711702513,  0.161474523156357,  0.0954099570662947,
        -0.0159198802466562, -0.160478884894474,  -0.322605596596986, -0.484732308299499,
        -0.629291312947316,  -0.740621150260267,  -0.806685716350330, 0.0501446858434065,
        -0.0159198802466562, -0.127249717559607,  -0.271808722207425, -0.433935433909937,
        -0.596062145612450,  -0.740621150260267,  -0.851950987573218, -0.918015553663281,
        -0.0159198802466562, -0.0819844463367190, -0.193314283649670, -0.337873288297487,
        -0.500000000000000,  -0.662126711702513,  -0.806685716350330, -0.918015553663281,
        -0.984080119753344,  0.886175793169969,   0.820111227079906,  0.708781389766955,
        0.564222385119137,   0.402095673416625,   0.239968961714112,  0.0954099570662947,
        -0.0159198802466562, -0.0819844463367190, 0.820111227079906,  0.754046660989843,
        0.642716823676892,   0.498157819029075,   0.336031107326562,  0.173904395624049,
        0.0293453909762320,  -0.0819844463367190, -0.148049012426782, 0.708781389766955,
        0.642716823676892,   0.531386986363941,   0.386827981716124,  0.224701270013611,
        0.0625745583110984,  -0.0819844463367190, -0.193314283649670, -0.259378849739733,
        0.564222385119137,   0.498157819029075,   0.386827981716124,  0.242268977068306,
        0.0801422653657937,  -0.0819844463367190, -0.226543450984536, -0.337873288297487,
        -0.403937854387550,  0.402095673416625,   0.336031107326562,  0.224701270013611,
        0.0801422653657937,  -0.0819844463367190, -0.244111158039232, -0.388670162687049,
        -0.500000000000000,  -0.566064566090063,  0.239968961714112,  0.173904395624049,
        0.0625745583110984,  -0.0819844463367190, -0.244111158039232, -0.406237869741744,
        -0.550796874389562,  -0.662126711702513,  -0.728191277792575, 0.0954099570662947,
        0.0293453909762320,  -0.0819844463367190, -0.226543450984536, -0.388670162687049,
        -0.550796874389562,  -0.695355879037379,  -0.806685716350330, -0.872750282440393,
        -0.0159198802466562, -0.0819844463367190, -0.193314283649670, -0.337873288297487,
        -0.500000000000000,  -0.662126711702513,  -0.806685716350330, -0.918015553663281,
        -0.984080119753344,  -0.0819844463367190, -0.148049012426782, -0.259378849739733,
        -0.403937854387550,  -0.566064566090063,  -0.728191277792575, -0.872750282440393,
        -0.984080119753344,  -1.05014468584341,   0.774845955857018,  0.708781389766955,
        0.597451552454004,   0.452892547806186,   0.290765836103674,  0.128639124401161,
        -0.0159198802466562, -0.127249717559607,  -0.193314283649670, 0.708781389766955,
        0.642716823676892,   0.531386986363941,   0.386827981716124,  0.224701270013611,
        0.0625745583110984,  -0.0819844463367190, -0.193314283649670, -0.259378849739733,
        0.597451552454004,   0.531386986363941,   0.420057149050990,  0.275498144403173,
        0.113371432700660,   -0.0487552790018526, -0.193314283649670, -0.304644120962621,
        -0.370708687052684,  0.452892547806186,   0.386827981716124,  0.275498144403173,
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        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344,
        0.0159198802466562,  0.0819844463367190,  0.193314283649670,  0.337873288297487,
        0.500000000000000,   0.662126711702513,   0.806685716350330,  0.918015553663281,
        0.984080119753344,   0.0159198802466562,  0.0819844463367190, 0.193314283649670,
        0.337873288297487,   0.500000000000000,   0.662126711702513,  0.806685716350330,
        0.918015553663281,   0.984080119753344,   0.0159198802466562, 0.0819844463367190,
        0.193314283649670,   0.337873288297487,   0.500000000000000,  0.662126711702513,
        0.806685716350330,   0.918015553663281,   0.984080119753344,  0.0159198802466562,
        0.0819844463367190,  0.193314283649670,   0.337873288297487,  0.500000000000000,
        0.662126711702513,   0.806685716350330,   0.918015553663281,  0.984080119753344};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        6.71075127501147e-5,  0.000149159519886544, 0.000215183848000758, 0.000257902100249559,
        0.000272675589112509, 0.000257902100249559, 0.000215183848000758, 0.000149159519886544,
        6.71075127501147e-5,  0.000149159519886544, 0.000331536089791172, 0.000478288020815930,
        0.000573237658117344, 0.000606074615047222, 0.000573237658117344, 0.000478288020815930,
        0.000331536089791172, 0.000149159519886544, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000257902100249559,
        0.000573237658117344, 0.000826976951832903, 0.000991148242385426, 0.00104792450557306,
        0.000991148242385426, 0.000826976951832903, 0.000573237658117344, 0.000257902100249559,
        0.000272675589112509, 0.000606074615047222, 0.000874348938241688, 0.00104792450557306,
        0.00110795310168498,  0.00104792450557306,  0.000874348938241688, 0.000606074615047222,
        0.000272675589112509, 0.000257902100249559, 0.000573237658117344, 0.000826976951832903,
        0.000991148242385426, 0.00104792450557306,  0.000991148242385426, 0.000826976951832903,
        0.000573237658117344, 0.000257902100249559, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000149159519886544,
        0.000331536089791172, 0.000478288020815930, 0.000573237658117344, 0.000606074615047222,
        0.000573237658117344, 0.000478288020815930, 0.000331536089791172, 0.000149159519886544,
        6.71075127501147e-5,  0.000149159519886544, 0.000215183848000758, 0.000257902100249559,
        0.000272675589112509, 0.000257902100249559, 0.000215183848000758, 0.000149159519886544,
        6.71075127501147e-5,  0.000149159519886544, 0.000331536089791172, 0.000478288020815930,
        0.000573237658117344, 0.000606074615047222, 0.000573237658117344, 0.000478288020815930,
        0.000331536089791172, 0.000149159519886544, 0.000331536089791172, 0.000736903544055562,
        0.00106308829859392,  0.00127413236404777,  0.00134711889758887,  0.00127413236404777,
        0.00106308829859392,  0.000736903544055562, 0.000331536089791172, 0.000478288020815930,
        0.00106308829859392,  0.00153365625626861,  0.00183811737371271,  0.00194341084174986,
        0.00183811737371271,  0.00153365625626861,  0.00106308829859392,  0.000478288020815930,
        0.000573237658117344, 0.00127413236404777,  0.00183811737371271,  0.00220302004815920,
        0.00232921635332632,  0.00220302004815920,  0.00183811737371271,  0.00127413236404777,
        0.000573237658117344, 0.000606074615047222, 0.00134711889758887,  0.00194341084174986,
        0.00232921635332632,  0.00246264160198451,  0.00232921635332632,  0.00194341084174986,
        0.00134711889758887,  0.000606074615047222, 0.000573237658117344, 0.00127413236404777,
        0.00183811737371271,  0.00220302004815920,  0.00232921635332632,  0.00220302004815920,
        0.00183811737371271,  0.00127413236404777,  0.000573237658117344, 0.000478288020815930,
        0.00106308829859392,  0.00153365625626861,  0.00183811737371271,  0.00194341084174986,
        0.00183811737371271,  0.00153365625626861,  0.00106308829859392,  0.000478288020815930,
        0.000331536089791172, 0.000736903544055562, 0.00106308829859392,  0.00127413236404777,
        0.00134711889758887,  0.00127413236404777,  0.00106308829859392,  0.000736903544055562,
        0.000331536089791172, 0.000149159519886544, 0.000331536089791172, 0.000478288020815930,
        0.000573237658117344, 0.000606074615047222, 0.000573237658117344, 0.000478288020815930,
        0.000331536089791172, 0.000149159519886544, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000478288020815930,
        0.00106308829859392,  0.00153365625626861,  0.00183811737371271,  0.00194341084174986,
        0.00183811737371271,  0.00153365625626861,  0.00106308829859392,  0.000478288020815930,
        0.000689998579038892, 0.00153365625626861,  0.00221251754487638,  0.00265174606256045,
        0.00280364688416950,  0.00265174606256045,  0.00221251754487638,  0.00153365625626861,
        0.000689998579038892, 0.000826976951832903, 0.00183811737371271,  0.00265174606256045,
        0.00317817013319898,  0.00336022627396689,  0.00317817013319898,  0.00265174606256045,
        0.00183811737371271,  0.000826976951832903, 0.000874348938241688, 0.00194341084174986,
        0.00280364688416950,  0.00336022627396689,  0.00355271119513428,  0.00336022627396689,
        0.00280364688416950,  0.00194341084174986,  0.000874348938241688, 0.000826976951832903,
        0.00183811737371271,  0.00265174606256045,  0.00317817013319898,  0.00336022627396689,
        0.00317817013319898,  0.00265174606256045,  0.00183811737371271,  0.000826976951832903,
        0.000689998579038892, 0.00153365625626861,  0.00221251754487638,  0.00265174606256045,
        0.00280364688416950,  0.00265174606256045,  0.00221251754487638,  0.00153365625626861,
        0.000689998579038892, 0.000478288020815930, 0.00106308829859392,  0.00153365625626861,
        0.00183811737371271,  0.00194341084174986,  0.00183811737371271,  0.00153365625626861,
        0.00106308829859392,  0.000478288020815930, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000257902100249559,
        0.000573237658117344, 0.000826976951832903, 0.000991148242385426, 0.00104792450557306,
        0.000991148242385426, 0.000826976951832903, 0.000573237658117344, 0.000257902100249559,
        0.000573237658117344, 0.00127413236404777,  0.00183811737371271,  0.00220302004815920,
        0.00232921635332632,  0.00220302004815920,  0.00183811737371271,  0.00127413236404777,
        0.000573237658117344, 0.000826976951832903, 0.00183811737371271,  0.00265174606256045,
        0.00317817013319898,  0.00336022627396689,  0.00317817013319898,  0.00265174606256045,
        0.00183811737371271,  0.000826976951832903, 0.000991148242385426, 0.00220302004815920,
        0.00317817013319898,  0.00380909979962599,  0.00402729768717008,  0.00380909979962599,
        0.00317817013319898,  0.00220302004815920,  0.000991148242385426, 0.00104792450557306,
        0.00232921635332632,  0.00336022627396689,  0.00402729768717008,  0.00425799467440523,
        0.00402729768717008,  0.00336022627396689,  0.00232921635332632,  0.00104792450557306,
        0.000991148242385426, 0.00220302004815920,  0.00317817013319898,  0.00380909979962599,
        0.00402729768717008,  0.00380909979962599,  0.00317817013319898,  0.00220302004815920,
        0.000991148242385426, 0.000826976951832903, 0.00183811737371271,  0.00265174606256045,
        0.00317817013319898,  0.00336022627396689,  0.00317817013319898,  0.00265174606256045,
        0.00183811737371271,  0.000826976951832903, 0.000573237658117344, 0.00127413236404777,
        0.00183811737371271,  0.00220302004815920,  0.00232921635332632,  0.00220302004815920,
        0.00183811737371271,  0.00127413236404777,  0.000573237658117344, 0.000257902100249559,
        0.000573237658117344, 0.000826976951832903, 0.000991148242385426, 0.00104792450557306,
        0.000991148242385426, 0.000826976951832903, 0.000573237658117344, 0.000257902100249559,
        0.000272675589112509, 0.000606074615047222, 0.000874348938241688, 0.00104792450557306,
        0.00110795310168498,  0.00104792450557306,  0.000874348938241688, 0.000606074615047222,
        0.000272675589112509, 0.000606074615047222, 0.00134711889758887,  0.00194341084174986,
        0.00232921635332632,  0.00246264160198451,  0.00232921635332632,  0.00194341084174986,
        0.00134711889758887,  0.000606074615047222, 0.000874348938241688, 0.00194341084174986,
        0.00280364688416950,  0.00336022627396689,  0.00355271119513428,  0.00336022627396689,
        0.00280364688416950,  0.00194341084174986,  0.000874348938241688, 0.00104792450557306,
        0.00232921635332632,  0.00336022627396689,  0.00402729768717008,  0.00425799467440523,
        0.00402729768717008,  0.00336022627396689,  0.00232921635332632,  0.00104792450557306,
        0.00110795310168498,  0.00246264160198451,  0.00355271119513428,  0.00425799467440523,
        0.00450190675127452,  0.00425799467440523,  0.00355271119513428,  0.00246264160198451,
        0.00110795310168498,  0.00104792450557306,  0.00232921635332632,  0.00336022627396689,
        0.00402729768717008,  0.00425799467440523,  0.00402729768717008,  0.00336022627396689,
        0.00232921635332632,  0.00104792450557306,  0.000874348938241688, 0.00194341084174986,
        0.00280364688416950,  0.00336022627396689,  0.00355271119513428,  0.00336022627396689,
        0.00280364688416950,  0.00194341084174986,  0.000874348938241688, 0.000606074615047222,
        0.00134711889758887,  0.00194341084174986,  0.00232921635332632,  0.00246264160198451,
        0.00232921635332632,  0.00194341084174986,  0.00134711889758887,  0.000606074615047222,
        0.000272675589112509, 0.000606074615047222, 0.000874348938241688, 0.00104792450557306,
        0.00110795310168498,  0.00104792450557306,  0.000874348938241688, 0.000606074615047222,
        0.000272675589112509, 0.000257902100249559, 0.000573237658117344, 0.000826976951832903,
        0.000991148242385426, 0.00104792450557306,  0.000991148242385426, 0.000826976951832903,
        0.000573237658117344, 0.000257902100249559, 0.000573237658117344, 0.00127413236404777,
        0.00183811737371271,  0.00220302004815920,  0.00232921635332632,  0.00220302004815920,
        0.00183811737371271,  0.00127413236404777,  0.000573237658117344, 0.000826976951832903,
        0.00183811737371271,  0.00265174606256045,  0.00317817013319898,  0.00336022627396689,
        0.00317817013319898,  0.00265174606256045,  0.00183811737371271,  0.000826976951832903,
        0.000991148242385426, 0.00220302004815920,  0.00317817013319898,  0.00380909979962599,
        0.00402729768717008,  0.00380909979962599,  0.00317817013319898,  0.00220302004815920,
        0.000991148242385426, 0.00104792450557306,  0.00232921635332632,  0.00336022627396689,
        0.00402729768717008,  0.00425799467440523,  0.00402729768717008,  0.00336022627396689,
        0.00232921635332632,  0.00104792450557306,  0.000991148242385426, 0.00220302004815920,
        0.00317817013319898,  0.00380909979962599,  0.00402729768717008,  0.00380909979962599,
        0.00317817013319898,  0.00220302004815920,  0.000991148242385426, 0.000826976951832903,
        0.00183811737371271,  0.00265174606256045,  0.00317817013319898,  0.00336022627396689,
        0.00317817013319898,  0.00265174606256045,  0.00183811737371271,  0.000826976951832903,
        0.000573237658117344, 0.00127413236404777,  0.00183811737371271,  0.00220302004815920,
        0.00232921635332632,  0.00220302004815920,  0.00183811737371271,  0.00127413236404777,
        0.000573237658117344, 0.000257902100249559, 0.000573237658117344, 0.000826976951832903,
        0.000991148242385426, 0.00104792450557306,  0.000991148242385426, 0.000826976951832903,
        0.000573237658117344, 0.000257902100249559, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000478288020815930,
        0.00106308829859392,  0.00153365625626861,  0.00183811737371271,  0.00194341084174986,
        0.00183811737371271,  0.00153365625626861,  0.00106308829859392,  0.000478288020815930,
        0.000689998579038892, 0.00153365625626861,  0.00221251754487638,  0.00265174606256045,
        0.00280364688416950,  0.00265174606256045,  0.00221251754487638,  0.00153365625626861,
        0.000689998579038892, 0.000826976951832903, 0.00183811737371271,  0.00265174606256045,
        0.00317817013319898,  0.00336022627396689,  0.00317817013319898,  0.00265174606256045,
        0.00183811737371271,  0.000826976951832903, 0.000874348938241688, 0.00194341084174986,
        0.00280364688416950,  0.00336022627396689,  0.00355271119513428,  0.00336022627396689,
        0.00280364688416950,  0.00194341084174986,  0.000874348938241688, 0.000826976951832903,
        0.00183811737371271,  0.00265174606256045,  0.00317817013319898,  0.00336022627396689,
        0.00317817013319898,  0.00265174606256045,  0.00183811737371271,  0.000826976951832903,
        0.000689998579038892, 0.00153365625626861,  0.00221251754487638,  0.00265174606256045,
        0.00280364688416950,  0.00265174606256045,  0.00221251754487638,  0.00153365625626861,
        0.000689998579038892, 0.000478288020815930, 0.00106308829859392,  0.00153365625626861,
        0.00183811737371271,  0.00194341084174986,  0.00183811737371271,  0.00153365625626861,
        0.00106308829859392,  0.000478288020815930, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000149159519886544,
        0.000331536089791172, 0.000478288020815930, 0.000573237658117344, 0.000606074615047222,
        0.000573237658117344, 0.000478288020815930, 0.000331536089791172, 0.000149159519886544,
        0.000331536089791172, 0.000736903544055562, 0.00106308829859392,  0.00127413236404777,
        0.00134711889758887,  0.00127413236404777,  0.00106308829859392,  0.000736903544055562,
        0.000331536089791172, 0.000478288020815930, 0.00106308829859392,  0.00153365625626861,
        0.00183811737371271,  0.00194341084174986,  0.00183811737371271,  0.00153365625626861,
        0.00106308829859392,  0.000478288020815930, 0.000573237658117344, 0.00127413236404777,
        0.00183811737371271,  0.00220302004815920,  0.00232921635332632,  0.00220302004815920,
        0.00183811737371271,  0.00127413236404777,  0.000573237658117344, 0.000606074615047222,
        0.00134711889758887,  0.00194341084174986,  0.00232921635332632,  0.00246264160198451,
        0.00232921635332632,  0.00194341084174986,  0.00134711889758887,  0.000606074615047222,
        0.000573237658117344, 0.00127413236404777,  0.00183811737371271,  0.00220302004815920,
        0.00232921635332632,  0.00220302004815920,  0.00183811737371271,  0.00127413236404777,
        0.000573237658117344, 0.000478288020815930, 0.00106308829859392,  0.00153365625626861,
        0.00183811737371271,  0.00194341084174986,  0.00183811737371271,  0.00153365625626861,
        0.00106308829859392,  0.000478288020815930, 0.000331536089791172, 0.000736903544055562,
        0.00106308829859392,  0.00127413236404777,  0.00134711889758887,  0.00127413236404777,
        0.00106308829859392,  0.000736903544055562, 0.000331536089791172, 0.000149159519886544,
        0.000331536089791172, 0.000478288020815930, 0.000573237658117344, 0.000606074615047222,
        0.000573237658117344, 0.000478288020815930, 0.000331536089791172, 0.000149159519886544,
        6.71075127501147e-5,  0.000149159519886544, 0.000215183848000758, 0.000257902100249559,
        0.000272675589112509, 0.000257902100249559, 0.000215183848000758, 0.000149159519886544,
        6.71075127501147e-5,  0.000149159519886544, 0.000331536089791172, 0.000478288020815930,
        0.000573237658117344, 0.000606074615047222, 0.000573237658117344, 0.000478288020815930,
        0.000331536089791172, 0.000149159519886544, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000257902100249559,
        0.000573237658117344, 0.000826976951832903, 0.000991148242385426, 0.00104792450557306,
        0.000991148242385426, 0.000826976951832903, 0.000573237658117344, 0.000257902100249559,
        0.000272675589112509, 0.000606074615047222, 0.000874348938241688, 0.00104792450557306,
        0.00110795310168498,  0.00104792450557306,  0.000874348938241688, 0.000606074615047222,
        0.000272675589112509, 0.000257902100249559, 0.000573237658117344, 0.000826976951832903,
        0.000991148242385426, 0.00104792450557306,  0.000991148242385426, 0.000826976951832903,
        0.000573237658117344, 0.000257902100249559, 0.000215183848000758, 0.000478288020815930,
        0.000689998579038892, 0.000826976951832903, 0.000874348938241688, 0.000826976951832903,
        0.000689998579038892, 0.000478288020815930, 0.000215183848000758, 0.000149159519886544,
        0.000331536089791172, 0.000478288020815930, 0.000573237658117344, 0.000606074615047222,
        0.000573237658117344, 0.000478288020815930, 0.000331536089791172, 0.000149159519886544,
        6.71075127501147e-5,  0.000149159519886544, 0.000215183848000758, 0.000257902100249559,
        0.000272675589112509, 0.000257902100249559, 0.000215183848000758, 0.000149159519886544,
        6.71075127501147e-5};
};
 
template <common::CFloatingPoint TScalar>
struct GaussLegendreQuadrature<3, 10, TScalar>
{
    inline static std::uint8_t constexpr kDims                                = 3;
    inline static std::uint8_t constexpr kOrder                               = 10;
    inline static int constexpr kPoints                                       = 1000;
    inline static std::array<TScalar, (kDims + 1) * kPoints> constexpr points = {
        0.960859792776318,   0.906438211863133,   0.813611312667490,   0.690604225581410,
        0.548343698008466,   0.399469359026625,   0.257208831453681,   0.134201744367601,
        0.0413748451719584,  -0.0130467357412272, 0.906438211863133,   0.852016630949947,
        0.759189731754304,   0.636182644668224,   0.493922117095281,   0.345047778113440,
        0.202787250540496,   0.0797801634544157,  -0.0130467357412272, -0.0674683166544128,
        0.813611312667490,   0.759189731754304,   0.666362832558661,   0.543355745472581,
        0.401095217899638,   0.252220878917797,   0.109960351344853,   -0.0130467357412272,
        -0.105873634936870,  -0.160295215850056,  0.690604225581410,   0.636182644668224,
        0.543355745472581,   0.420348658386501,   0.278088130813558,   0.129213791831717,
        -0.0130467357412272, -0.136053822827307,  -0.228880722022950,  -0.283302302936136,
        0.548343698008466,   0.493922117095281,   0.401095217899638,   0.278088130813558,
        0.135827603240614,   -0.0130467357412272, -0.155307263314171,  -0.278314350400251,
        -0.371141249595894,  -0.425562830509080,  0.399469359026625,   0.345047778113440,
        0.252220878917797,   0.129213791831717,   -0.0130467357412272, -0.161921074723068,
        -0.304181602296012,  -0.427188689382092,  -0.520015588577735,  -0.574437169490920,
        0.257208831453681,   0.202787250540496,   0.109960351344853,   -0.0130467357412272,
        -0.155307263314171,  -0.304181602296012,  -0.446442129868956,  -0.569449216955036,
        -0.662276116150679,  -0.716697697063864,  0.134201744367601,   0.0797801634544157,
        -0.0130467357412272, -0.136053822827307,  -0.278314350400251,  -0.427188689382092,
        -0.569449216955036,  -0.692456304041116,  -0.785283203236759,  -0.839704784149944,
        0.0413748451719584,  -0.0130467357412272, -0.105873634936870,  -0.228880722022950,
        -0.371141249595894,  -0.520015588577735,  -0.662276116150679,  -0.785283203236759,
        -0.878110102432402,  -0.932531683345587,  -0.0130467357412272, -0.0674683166544128,
        -0.160295215850056,  -0.283302302936136,  -0.425562830509080,  -0.574437169490920,
        -0.716697697063864,  -0.839704784149944,  -0.932531683345587,  -0.986953264258773,
        0.906438211863133,   0.852016630949947,   0.759189731754304,   0.636182644668224,
        0.493922117095281,   0.345047778113440,   0.202787250540496,   0.0797801634544157,
        -0.0130467357412272, -0.0674683166544128, 0.852016630949947,   0.797595050036762,
        0.704768150841119,   0.581761063755039,   0.439500536182095,   0.290626197200254,
        0.148365669627310,   0.0253585825412301,  -0.0674683166544128, -0.121889897567598,
        0.759189731754304,   0.704768150841119,   0.611941251645476,   0.488934164559396,
        0.346673636986452,   0.197799298004611,   0.0555387704316672,  -0.0674683166544128,
        -0.160295215850056,  -0.214716796763241,  0.636182644668224,   0.581761063755039,
        0.488934164559396,   0.365927077473316,   0.223666549900372,   0.0747922109185311,
        -0.0674683166544128, -0.190475403740493,  -0.283302302936136,  -0.337723883849321,
        0.493922117095281,   0.439500536182095,   0.346673636986452,   0.223666549900372,
        0.0814060223274282,  -0.0674683166544128, -0.209728844227357,  -0.332735931313437,
        -0.425562830509080,  -0.479984411422265,  0.345047778113440,   0.290626197200254,
        0.197799298004611,   0.0747922109185311,  -0.0674683166544128, -0.216342655636254,
        -0.358603183209198,  -0.481610270295278,  -0.574437169490920,  -0.628858750404106,
        0.202787250540496,   0.148365669627310,   0.0555387704316672,  -0.0674683166544128,
        -0.209728844227357,  -0.358603183209198,  -0.500863710782141,  -0.623870797868221,
        -0.716697697063864,  -0.771119277977050,  0.0797801634544157,  0.0253585825412301,
        -0.0674683166544128, -0.190475403740493,  -0.332735931313437,  -0.481610270295278,
        -0.623870797868221,  -0.746877884954301,  -0.839704784149944,  -0.894126365063130,
        -0.0130467357412272, -0.0674683166544128, -0.160295215850056,  -0.283302302936136,
        -0.425562830509080,  -0.574437169490920,  -0.716697697063864,  -0.839704784149944,
        -0.932531683345587,  -0.986953264258773,  -0.0674683166544128, -0.121889897567598,
        -0.214716796763241,  -0.337723883849321,  -0.479984411422265,  -0.628858750404106,
        -0.771119277977050,  -0.894126365063130,  -0.986953264258773,  -1.04137484517196,
        0.813611312667490,   0.759189731754304,   0.666362832558661,   0.543355745472581,
        0.401095217899638,   0.252220878917797,   0.109960351344853,   -0.0130467357412272,
        -0.105873634936870,  -0.160295215850056,  0.759189731754304,   0.704768150841119,
        0.611941251645476,   0.488934164559396,   0.346673636986452,   0.197799298004611,
        0.0555387704316672,  -0.0674683166544128, -0.160295215850056,  -0.214716796763241,
        0.666362832558661,   0.611941251645476,   0.519114352449833,   0.396107265363753,
        0.253846737790809,   0.104972398808968,   -0.0372881287639757, -0.160295215850056,
        -0.253122115045699,  -0.307543695958884,  0.543355745472581,   0.488934164559396,
        0.396107265363753,   0.273100178277673,   0.130839650704729,   -0.0180346882771119,
        -0.160295215850056,  -0.283302302936136,  -0.376129202131779,  -0.430550783044964,
        0.401095217899638,   0.346673636986452,   0.253846737790809,   0.130839650704729,
        -0.0114208768682147, -0.160295215850056,  -0.302555743423000,  -0.425562830509080,
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        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773,
        0.0130467357412272,  0.0674683166544128,  0.160295215850056,   0.283302302936136,
        0.425562830509080,   0.574437169490920,   0.716697697063864,   0.839704784149944,
        0.932531683345587,   0.986953264258773,   0.0130467357412272,  0.0674683166544128,
        0.160295215850056,   0.283302302936136,   0.425562830509080,   0.574437169490920,
        0.716697697063864,   0.839704784149944,   0.932531683345587,   0.986953264258773};
    inline static std::array<TScalar, kPoints> constexpr weights = {
        3.70448336543065e-5,  8.30401790468641e-5,  0.000121731726568416, 0.000149613614798725,
        0.000164203164926284, 0.000164203164926284, 0.000149613614798725, 0.000121731726568416,
        8.30401790468641e-5,  3.70448336543065e-5,  8.30401790468641e-5,  0.000186143941162862,
        0.000272875415348236, 0.000335375817223852, 0.000368079941801959, 0.000368079941801959,
        0.000335375817223852, 0.000272875415348236, 0.000186143941162862, 8.30401790468641e-5,
        0.000121731726568416, 0.000272875415348236, 0.000400018350510397, 0.000491640043995002,
        0.000539582252170575, 0.000539582252170575, 0.000491640043995002, 0.000400018350510397,
        0.000272875415348236, 0.000121731726568416, 0.000149613614798725, 0.000335375817223852,
        0.000491640043995002, 0.000604247111541262, 0.000663170181711874, 0.000663170181711874,
        0.000604247111541262, 0.000491640043995002, 0.000335375817223852, 0.000149613614798725,
        0.000164203164926284, 0.000368079941801959, 0.000539582252170575, 0.000663170181711874,
        0.000727839126595027, 0.000727839126595027, 0.000663170181711874, 0.000539582252170575,
        0.000368079941801959, 0.000164203164926284, 0.000164203164926284, 0.000368079941801959,
        0.000539582252170575, 0.000663170181711874, 0.000727839126595027, 0.000727839126595027,
        0.000663170181711874, 0.000539582252170575, 0.000368079941801959, 0.000164203164926284,
        0.000149613614798725, 0.000335375817223852, 0.000491640043995002, 0.000604247111541262,
        0.000663170181711874, 0.000663170181711874, 0.000604247111541262, 0.000491640043995002,
        0.000335375817223852, 0.000149613614798725, 0.000121731726568416, 0.000272875415348236,
        0.000400018350510397, 0.000491640043995002, 0.000539582252170575, 0.000539582252170575,
        0.000491640043995002, 0.000400018350510397, 0.000272875415348236, 0.000121731726568416,
        8.30401790468641e-5,  0.000186143941162862, 0.000272875415348236, 0.000335375817223852,
        0.000368079941801959, 0.000368079941801959, 0.000335375817223852, 0.000272875415348236,
        0.000186143941162862, 8.30401790468641e-5,  3.70448336543065e-5,  8.30401790468641e-5,
        0.000121731726568416, 0.000149613614798725, 0.000164203164926284, 0.000164203164926284,
        0.000149613614798725, 0.000121731726568416, 8.30401790468641e-5,  3.70448336543065e-5,
        8.30401790468641e-5,  0.000186143941162862, 0.000272875415348236, 0.000335375817223852,
        0.000368079941801959, 0.000368079941801959, 0.000335375817223852, 0.000272875415348236,
        0.000186143941162862, 8.30401790468641e-5,  0.000186143941162862, 0.000417262670063471,
        0.000611681066230696, 0.000751782776787269, 0.000825092766133687, 0.000825092766133687,
        0.000751782776787269, 0.000611681066230696, 0.000417262670063471, 0.000186143941162862,
        0.000272875415348236, 0.000611681066230696, 0.000896686316866563, 0.00110206669196926,
        0.00120953456692188,  0.00120953456692188,  0.00110206669196926,  0.000896686316866563,
        0.000611681066230696, 0.000272875415348236, 0.000335375817223852, 0.000751782776787269,
        0.00110206669196926,  0.00135448815344063,  0.00148657087090182,  0.00148657087090182,
        0.00135448815344063,  0.00110206669196926,  0.000751782776787269, 0.000335375817223852,
        0.000368079941801959, 0.000825092766133687, 0.00120953456692188,  0.00148657087090182,
        0.00163153361555824,  0.00163153361555824,  0.00148657087090182,  0.00120953456692188,
        0.000825092766133687, 0.000368079941801959, 0.000368079941801959, 0.000825092766133687,
        0.00120953456692188,  0.00148657087090182,  0.00163153361555824,  0.00163153361555824,
        0.00148657087090182,  0.00120953456692188,  0.000825092766133687, 0.000368079941801959,
        0.000335375817223852, 0.000751782776787269, 0.00110206669196926,  0.00135448815344063,
        0.00148657087090182,  0.00148657087090182,  0.00135448815344063,  0.00110206669196926,
        0.000751782776787269, 0.000335375817223852, 0.000272875415348236, 0.000611681066230696,
        0.000896686316866563, 0.00110206669196926,  0.00120953456692188,  0.00120953456692188,
        0.00110206669196926,  0.000896686316866563, 0.000611681066230696, 0.000272875415348236,
        0.000186143941162862, 0.000417262670063471, 0.000611681066230696, 0.000751782776787269,
        0.000825092766133687, 0.000825092766133687, 0.000751782776787269, 0.000611681066230696,
        0.000417262670063471, 0.000186143941162862, 8.30401790468641e-5,  0.000186143941162862,
        0.000272875415348236, 0.000335375817223852, 0.000368079941801959, 0.000368079941801959,
        0.000335375817223852, 0.000272875415348236, 0.000186143941162862, 8.30401790468641e-5,
        0.000121731726568416, 0.000272875415348236, 0.000400018350510397, 0.000491640043995002,
        0.000539582252170575, 0.000539582252170575, 0.000491640043995002, 0.000400018350510397,
        0.000272875415348236, 0.000121731726568416, 0.000272875415348236, 0.000611681066230696,
        0.000896686316866563, 0.00110206669196926,  0.00120953456692188,  0.00120953456692188,
        0.00110206669196926,  0.000896686316866563, 0.000611681066230696, 0.000272875415348236,
        0.000400018350510397, 0.000896686316866563, 0.00131448624985308,  0.00161556107834557,
        0.00177310228452768,  0.00177310228452768,  0.00161556107834557,  0.00131448624985308,
        0.000896686316866563, 0.000400018350510397, 0.000491640043995002, 0.00110206669196926,
        0.00161556107834557,  0.00198559520737234,  0.00217922023842297,  0.00217922023842297,
        0.00198559520737234,  0.00161556107834557,  0.00110206669196926,  0.000491640043995002,
        0.000539582252170575, 0.00120953456692188,  0.00177310228452768,  0.00217922023842297,
        0.00239172658652662,  0.00239172658652662,  0.00217922023842297,  0.00177310228452768,
        0.00120953456692188,  0.000539582252170575, 0.000539582252170575, 0.00120953456692188,
        0.00177310228452768,  0.00217922023842297,  0.00239172658652662,  0.00239172658652662,
        0.00217922023842297,  0.00177310228452768,  0.00120953456692188,  0.000539582252170575,
        0.000491640043995002, 0.00110206669196926,  0.00161556107834557,  0.00198559520737234,
        0.00217922023842297,  0.00217922023842297,  0.00198559520737234,  0.00161556107834557,
        0.00110206669196926,  0.000491640043995002, 0.000400018350510397, 0.000896686316866563,
        0.00131448624985308,  0.00161556107834557,  0.00177310228452768,  0.00177310228452768,
        0.00161556107834557,  0.00131448624985308,  0.000896686316866563, 0.000400018350510397,
        0.000272875415348236, 0.000611681066230696, 0.000896686316866563, 0.00110206669196926,
        0.00120953456692188,  0.00120953456692188,  0.00110206669196926,  0.000896686316866563,
        0.000611681066230696, 0.000272875415348236, 0.000121731726568416, 0.000272875415348236,
        0.000400018350510397, 0.000491640043995002, 0.000539582252170575, 0.000539582252170575,
        0.000491640043995002, 0.000400018350510397, 0.000272875415348236, 0.000121731726568416,
        0.000149613614798725, 0.000335375817223852, 0.000491640043995002, 0.000604247111541262,
        0.000663170181711874, 0.000663170181711874, 0.000604247111541262, 0.000491640043995002,
        0.000335375817223852, 0.000149613614798725, 0.000335375817223852, 0.000751782776787269,
        0.00110206669196926,  0.00135448815344063,  0.00148657087090182,  0.00148657087090182,
        0.00135448815344063,  0.00110206669196926,  0.000751782776787269, 0.000335375817223852,
        0.000491640043995002, 0.00110206669196926,  0.00161556107834557,  0.00198559520737234,
        0.00217922023842297,  0.00217922023842297,  0.00198559520737234,  0.00161556107834557,
        0.00110206669196926,  0.000491640043995002, 0.000604247111541262, 0.00135448815344063,
        0.00198559520737234,  0.00244038333207273,  0.00267835696168948,  0.00267835696168948,
        0.00244038333207273,  0.00198559520737234,  0.00135448815344063,  0.000604247111541262,
        0.000663170181711874, 0.00148657087090182,  0.00217922023842297,  0.00267835696168948,
        0.00293953655556959,  0.00293953655556959,  0.00267835696168948,  0.00217922023842297,
        0.00148657087090182,  0.000663170181711874, 0.000663170181711874, 0.00148657087090182,
        0.00217922023842297,  0.00267835696168948,  0.00293953655556959,  0.00293953655556959,
        0.00267835696168948,  0.00217922023842297,  0.00148657087090182,  0.000663170181711874,
        0.000604247111541262, 0.00135448815344063,  0.00198559520737234,  0.00244038333207273,
        0.00267835696168948,  0.00267835696168948,  0.00244038333207273,  0.00198559520737234,
        0.00135448815344063,  0.000604247111541262, 0.000491640043995002, 0.00110206669196926,
        0.00161556107834557,  0.00198559520737234,  0.00217922023842297,  0.00217922023842297,
        0.00198559520737234,  0.00161556107834557,  0.00110206669196926,  0.000491640043995002,
        0.000335375817223852, 0.000751782776787269, 0.00110206669196926,  0.00135448815344063,
        0.00148657087090182,  0.00148657087090182,  0.00135448815344063,  0.00110206669196926,
        0.000751782776787269, 0.000335375817223852, 0.000149613614798725, 0.000335375817223852,
        0.000491640043995002, 0.000604247111541262, 0.000663170181711874, 0.000663170181711874,
        0.000604247111541262, 0.000491640043995002, 0.000335375817223852, 0.000149613614798725,
        0.000164203164926284, 0.000368079941801959, 0.000539582252170575, 0.000663170181711874,
        0.000727839126595027, 0.000727839126595027, 0.000663170181711874, 0.000539582252170575,
        0.000368079941801959, 0.000164203164926284, 0.000368079941801959, 0.000825092766133687,
        0.00120953456692188,  0.00148657087090182,  0.00163153361555824,  0.00163153361555824,
        0.00148657087090182,  0.00120953456692188,  0.000825092766133687, 0.000368079941801959,
        0.000539582252170575, 0.00120953456692188,  0.00177310228452768,  0.00217922023842297,
        0.00239172658652662,  0.00239172658652662,  0.00217922023842297,  0.00177310228452768,
        0.00120953456692188,  0.000539582252170575, 0.000663170181711874, 0.00148657087090182,
        0.00217922023842297,  0.00267835696168948,  0.00293953655556959,  0.00293953655556959,
        0.00267835696168948,  0.00217922023842297,  0.00148657087090182,  0.000663170181711874,
        0.000727839126595026, 0.00163153361555824,  0.00239172658652662,  0.00293953655556959,
        0.00322618503998039,  0.00322618503998039,  0.00293953655556959,  0.00239172658652662,
        0.00163153361555824,  0.000727839126595026, 0.000727839126595026, 0.00163153361555824,
        0.00239172658652662,  0.00293953655556959,  0.00322618503998039,  0.00322618503998039,
        0.00293953655556959,  0.00239172658652662,  0.00163153361555824,  0.000727839126595026,
        0.000663170181711874, 0.00148657087090182,  0.00217922023842297,  0.00267835696168948,
        0.00293953655556959,  0.00293953655556959,  0.00267835696168948,  0.00217922023842297,
        0.00148657087090182,  0.000663170181711874, 0.000539582252170575, 0.00120953456692188,
        0.00177310228452768,  0.00217922023842297,  0.00239172658652662,  0.00239172658652662,
        0.00217922023842297,  0.00177310228452768,  0.00120953456692188,  0.000539582252170575,
        0.000368079941801959, 0.000825092766133687, 0.00120953456692188,  0.00148657087090182,
        0.00163153361555824,  0.00163153361555824,  0.00148657087090182,  0.00120953456692188,
        0.000825092766133687, 0.000368079941801959, 0.000164203164926284, 0.000368079941801959,
        0.000539582252170575, 0.000663170181711874, 0.000727839126595027, 0.000727839126595027,
        0.000663170181711874, 0.000539582252170575, 0.000368079941801959, 0.000164203164926284,
        0.000164203164926284, 0.000368079941801959, 0.000539582252170575, 0.000663170181711874,
        0.000727839126595027, 0.000727839126595027, 0.000663170181711874, 0.000539582252170575,
        0.000368079941801959, 0.000164203164926284, 0.000368079941801959, 0.000825092766133687,
        0.00120953456692188,  0.00148657087090182,  0.00163153361555824,  0.00163153361555824,
        0.00148657087090182,  0.00120953456692188,  0.000825092766133687, 0.000368079941801959,
        0.000539582252170575, 0.00120953456692188,  0.00177310228452768,  0.00217922023842297,
        0.00239172658652662,  0.00239172658652662,  0.00217922023842297,  0.00177310228452768,
        0.00120953456692188,  0.000539582252170575, 0.000663170181711874, 0.00148657087090182,
        0.00217922023842297,  0.00267835696168948,  0.00293953655556959,  0.00293953655556959,
        0.00267835696168948,  0.00217922023842297,  0.00148657087090182,  0.000663170181711874,
        0.000727839126595026, 0.00163153361555824,  0.00239172658652662,  0.00293953655556959,
        0.00322618503998039,  0.00322618503998039,  0.00293953655556959,  0.00239172658652662,
        0.00163153361555824,  0.000727839126595026, 0.000727839126595026, 0.00163153361555824,
        0.00239172658652662,  0.00293953655556959,  0.00322618503998039,  0.00322618503998039,
        0.00293953655556959,  0.00239172658652662,  0.00163153361555824,  0.000727839126595026,
        0.000663170181711874, 0.00148657087090182,  0.00217922023842297,  0.00267835696168948,
        0.00293953655556959,  0.00293953655556959,  0.00267835696168948,  0.00217922023842297,
        0.00148657087090182,  0.000663170181711874, 0.000539582252170575, 0.00120953456692188,
        0.00177310228452768,  0.00217922023842297,  0.00239172658652662,  0.00239172658652662,
        0.00217922023842297,  0.00177310228452768,  0.00120953456692188,  0.000539582252170575,
        0.000368079941801959, 0.000825092766133687, 0.00120953456692188,  0.00148657087090182,
        0.00163153361555824,  0.00163153361555824,  0.00148657087090182,  0.00120953456692188,
        0.000825092766133687, 0.000368079941801959, 0.000164203164926284, 0.000368079941801959,
        0.000539582252170575, 0.000663170181711874, 0.000727839126595027, 0.000727839126595027,
        0.000663170181711874, 0.000539582252170575, 0.000368079941801959, 0.000164203164926284,
        0.000149613614798725, 0.000335375817223852, 0.000491640043995002, 0.000604247111541262,
        0.000663170181711874, 0.000663170181711874, 0.000604247111541262, 0.000491640043995002,
        0.000335375817223852, 0.000149613614798725, 0.000335375817223852, 0.000751782776787269,
        0.00110206669196926,  0.00135448815344063,  0.00148657087090182,  0.00148657087090182,
        0.00135448815344063,  0.00110206669196926,  0.000751782776787269, 0.000335375817223852,
        0.000491640043995002, 0.00110206669196926,  0.00161556107834557,  0.00198559520737234,
        0.00217922023842297,  0.00217922023842297,  0.00198559520737234,  0.00161556107834557,
        0.00110206669196926,  0.000491640043995002, 0.000604247111541262, 0.00135448815344063,
        0.00198559520737234,  0.00244038333207273,  0.00267835696168948,  0.00267835696168948,
        0.00244038333207273,  0.00198559520737234,  0.00135448815344063,  0.000604247111541262,
        0.000663170181711874, 0.00148657087090182,  0.00217922023842297,  0.00267835696168948,
        0.00293953655556959,  0.00293953655556959,  0.00267835696168948,  0.00217922023842297,
        0.00148657087090182,  0.000663170181711874, 0.000663170181711874, 0.00148657087090182,
        0.00217922023842297,  0.00267835696168948,  0.00293953655556959,  0.00293953655556959,
        0.00267835696168948,  0.00217922023842297,  0.00148657087090182,  0.000663170181711874,
        0.000604247111541262, 0.00135448815344063,  0.00198559520737234,  0.00244038333207273,
        0.00267835696168948,  0.00267835696168948,  0.00244038333207273,  0.00198559520737234,
        0.00135448815344063,  0.000604247111541262, 0.000491640043995002, 0.00110206669196926,
        0.00161556107834557,  0.00198559520737234,  0.00217922023842297,  0.00217922023842297,
        0.00198559520737234,  0.00161556107834557,  0.00110206669196926,  0.000491640043995002,
        0.000335375817223852, 0.000751782776787269, 0.00110206669196926,  0.00135448815344063,
        0.00148657087090182,  0.00148657087090182,  0.00135448815344063,  0.00110206669196926,
        0.000751782776787269, 0.000335375817223852, 0.000149613614798725, 0.000335375817223852,
        0.000491640043995002, 0.000604247111541262, 0.000663170181711874, 0.000663170181711874,
        0.000604247111541262, 0.000491640043995002, 0.000335375817223852, 0.000149613614798725,
        0.000121731726568416, 0.000272875415348236, 0.000400018350510397, 0.000491640043995002,
        0.000539582252170575, 0.000539582252170575, 0.000491640043995002, 0.000400018350510397,
        0.000272875415348236, 0.000121731726568416, 0.000272875415348236, 0.000611681066230696,
        0.000896686316866563, 0.00110206669196926,  0.00120953456692188,  0.00120953456692188,
        0.00110206669196926,  0.000896686316866563, 0.000611681066230696, 0.000272875415348236,
        0.000400018350510397, 0.000896686316866563, 0.00131448624985308,  0.00161556107834557,
        0.00177310228452768,  0.00177310228452768,  0.00161556107834557,  0.00131448624985308,
        0.000896686316866563, 0.000400018350510397, 0.000491640043995002, 0.00110206669196926,
        0.00161556107834557,  0.00198559520737234,  0.00217922023842297,  0.00217922023842297,
        0.00198559520737234,  0.00161556107834557,  0.00110206669196926,  0.000491640043995002,
        0.000539582252170575, 0.00120953456692188,  0.00177310228452768,  0.00217922023842297,
        0.00239172658652662,  0.00239172658652662,  0.00217922023842297,  0.00177310228452768,
        0.00120953456692188,  0.000539582252170575, 0.000539582252170575, 0.00120953456692188,
        0.00177310228452768,  0.00217922023842297,  0.00239172658652662,  0.00239172658652662,
        0.00217922023842297,  0.00177310228452768,  0.00120953456692188,  0.000539582252170575,
        0.000491640043995002, 0.00110206669196926,  0.00161556107834557,  0.00198559520737234,
        0.00217922023842297,  0.00217922023842297,  0.00198559520737234,  0.00161556107834557,
        0.00110206669196926,  0.000491640043995002, 0.000400018350510397, 0.000896686316866563,
        0.00131448624985308,  0.00161556107834557,  0.00177310228452768,  0.00177310228452768,
        0.00161556107834557,  0.00131448624985308,  0.000896686316866563, 0.000400018350510397,
        0.000272875415348236, 0.000611681066230696, 0.000896686316866563, 0.00110206669196926,
        0.00120953456692188,  0.00120953456692188,  0.00110206669196926,  0.000896686316866563,
        0.000611681066230696, 0.000272875415348236, 0.000121731726568416, 0.000272875415348236,
        0.000400018350510397, 0.000491640043995002, 0.000539582252170575, 0.000539582252170575,
        0.000491640043995002, 0.000400018350510397, 0.000272875415348236, 0.000121731726568416,
        8.30401790468641e-5,  0.000186143941162862, 0.000272875415348236, 0.000335375817223852,
        0.000368079941801959, 0.000368079941801959, 0.000335375817223852, 0.000272875415348236,
        0.000186143941162862, 8.30401790468641e-5,  0.000186143941162862, 0.000417262670063471,
        0.000611681066230696, 0.000751782776787269, 0.000825092766133687, 0.000825092766133687,
        0.000751782776787269, 0.000611681066230696, 0.000417262670063471, 0.000186143941162862,
        0.000272875415348236, 0.000611681066230696, 0.000896686316866563, 0.00110206669196926,
        0.00120953456692188,  0.00120953456692188,  0.00110206669196926,  0.000896686316866563,
        0.000611681066230696, 0.000272875415348236, 0.000335375817223852, 0.000751782776787269,
        0.00110206669196926,  0.00135448815344063,  0.00148657087090182,  0.00148657087090182,
        0.00135448815344063,  0.00110206669196926,  0.000751782776787269, 0.000335375817223852,
        0.000368079941801959, 0.000825092766133687, 0.00120953456692188,  0.00148657087090182,
        0.00163153361555824,  0.00163153361555824,  0.00148657087090182,  0.00120953456692188,
        0.000825092766133687, 0.000368079941801959, 0.000368079941801959, 0.000825092766133687,
        0.00120953456692188,  0.00148657087090182,  0.00163153361555824,  0.00163153361555824,
        0.00148657087090182,  0.00120953456692188,  0.000825092766133687, 0.000368079941801959,
        0.000335375817223852, 0.000751782776787269, 0.00110206669196926,  0.00135448815344063,
        0.00148657087090182,  0.00148657087090182,  0.00135448815344063,  0.00110206669196926,
        0.000751782776787269, 0.000335375817223852, 0.000272875415348236, 0.000611681066230696,
        0.000896686316866563, 0.00110206669196926,  0.00120953456692188,  0.00120953456692188,
        0.00110206669196926,  0.000896686316866563, 0.000611681066230696, 0.000272875415348236,
        0.000186143941162862, 0.000417262670063471, 0.000611681066230696, 0.000751782776787269,
        0.000825092766133687, 0.000825092766133687, 0.000751782776787269, 0.000611681066230696,
        0.000417262670063471, 0.000186143941162862, 8.30401790468641e-5,  0.000186143941162862,
        0.000272875415348236, 0.000335375817223852, 0.000368079941801959, 0.000368079941801959,
        0.000335375817223852, 0.000272875415348236, 0.000186143941162862, 8.30401790468641e-5,
        3.70448336543065e-5,  8.30401790468641e-5,  0.000121731726568416, 0.000149613614798725,
        0.000164203164926284, 0.000164203164926284, 0.000149613614798725, 0.000121731726568416,
        8.30401790468641e-5,  3.70448336543065e-5,  8.30401790468641e-5,  0.000186143941162862,
        0.000272875415348236, 0.000335375817223852, 0.000368079941801959, 0.000368079941801959,
        0.000335375817223852, 0.000272875415348236, 0.000186143941162862, 8.30401790468641e-5,
        0.000121731726568416, 0.000272875415348236, 0.000400018350510397, 0.000491640043995002,
        0.000539582252170575, 0.000539582252170575, 0.000491640043995002, 0.000400018350510397,
        0.000272875415348236, 0.000121731726568416, 0.000149613614798725, 0.000335375817223852,
        0.000491640043995002, 0.000604247111541262, 0.000663170181711874, 0.000663170181711874,
        0.000604247111541262, 0.000491640043995002, 0.000335375817223852, 0.000149613614798725,
        0.000164203164926284, 0.000368079941801959, 0.000539582252170575, 0.000663170181711874,
        0.000727839126595027, 0.000727839126595027, 0.000663170181711874, 0.000539582252170575,
        0.000368079941801959, 0.000164203164926284, 0.000164203164926284, 0.000368079941801959,
        0.000539582252170575, 0.000663170181711874, 0.000727839126595027, 0.000727839126595027,
        0.000663170181711874, 0.000539582252170575, 0.000368079941801959, 0.000164203164926284,
        0.000149613614798725, 0.000335375817223852, 0.000491640043995002, 0.000604247111541262,
        0.000663170181711874, 0.000663170181711874, 0.000604247111541262, 0.000491640043995002,
        0.000335375817223852, 0.000149613614798725, 0.000121731726568416, 0.000272875415348236,
        0.000400018350510397, 0.000491640043995002, 0.000539582252170575, 0.000539582252170575,
        0.000491640043995002, 0.000400018350510397, 0.000272875415348236, 0.000121731726568416,
        8.30401790468641e-5,  0.000186143941162862, 0.000272875415348236, 0.000335375817223852,
        0.000368079941801959, 0.000368079941801959, 0.000335375817223852, 0.000272875415348236,
        0.000186143941162862, 8.30401790468641e-5,  3.70448336543065e-5,  8.30401790468641e-5,
        0.000121731726568416, 0.000149613614798725, 0.000164203164926284, 0.000164203164926284,
        0.000149613614798725, 0.000121731726568416, 8.30401790468641e-5,  3.70448336543065e-5};
};
 
#include "pbat/warning/Pop.h"
 
} // namespace detail
} // namespace math
} // namespace pbat
 
#endif // PBAT_MATH_GAUSSQUADRATURE_H