From b27db10e157b212ab7dc3c4586e8c277426f8e31 Mon Sep 17 00:00:00 2001
From: lan496 <kshinohara0508@gmail.com>
Date: Mon, 30 Dec 2024 13:07:00 +0900
Subject: [PATCH 1/4] Magnetic Hall symbol parser

---
 README.md                    |   1 +
 moyo/src/base.rs             |   3 +-
 moyo/src/data/centering.rs   |  18 +++
 moyo/src/data/hall_symbol.rs | 267 ++++++++++++++++++++++++++---------
 4 files changed, 222 insertions(+), 67 deletions(-)

diff --git a/README.md b/README.md
index 1b9c152..1180bab 100644
--- a/README.md
+++ b/README.md
@@ -45,3 +45,4 @@ RUST_LOG=debug cargo test -- --nocapture
 ## Acknowledgments
 
 We thank Dr. Yusuke Seto for providing the crystallographic database.
+We thank Juan Rodríguez-Carvajal for providing the magnetic space-group database.
diff --git a/moyo/src/base.rs b/moyo/src/base.rs
index 6e2543b..82d1f89 100644
--- a/moyo/src/base.rs
+++ b/moyo/src/base.rs
@@ -14,7 +14,8 @@ pub use error::MoyoError;
 pub use lattice::Lattice;
 pub use magnetic_cell::{Collinear, MagneticCell, MagneticMoment, NonCollinear};
 pub use operation::{
-    MagneticOperation, MagneticOperations, Operation, Operations, Rotation, Rotations, Translation,
+    MagneticOperation, MagneticOperations, Operation, Operations, Rotation, Rotations,
+    TimeReversal, Translation,
 };
 pub use permutation::Permutation;
 pub use tolerance::AngleTolerance;
diff --git a/moyo/src/data/centering.rs b/moyo/src/data/centering.rs
index 9c0c11b..f9d636b 100644
--- a/moyo/src/data/centering.rs
+++ b/moyo/src/data/centering.rs
@@ -125,3 +125,21 @@ impl Centering {
         }
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use strum::IntoEnumIterator;
+
+    use super::*;
+    use crate::base::Transformation;
+
+    #[test]
+    fn test_conventional_transformation_matrix() {
+        for centering in Centering::iter() {
+            assert_eq!(
+                Transformation::from_linear(centering.linear()).size,
+                centering.order()
+            );
+        }
+    }
+}
diff --git a/moyo/src/data/hall_symbol.rs b/moyo/src/data/hall_symbol.rs
index 1efe1af..bdd0930 100644
--- a/moyo/src/data/hall_symbol.rs
+++ b/moyo/src/data/hall_symbol.rs
@@ -1,11 +1,15 @@
 use std::collections::hash_map::Entry;
 use std::collections::{HashMap, VecDeque};
 
+use log::debug;
 use nalgebra::{matrix, Vector3};
 
 use super::centering::Centering;
 use super::hall_symbol_database::{hall_symbol_entry, HallNumber};
-use crate::base::{Operation, Operations, Rotation, Transformation, Translation, EPS};
+use crate::base::{
+    MagneticOperation, MagneticOperations, Operation, Operations, OriginShift, Rotation,
+    TimeReversal, Transformation, Translation, EPS,
+};
 
 const MAX_DENOMINATOR: i32 = 12;
 
@@ -18,7 +22,9 @@ const MAX_DENOMINATOR: i32 = 12;
 // <lattice symbol> := [PABCIRHF]  # Table A1.4.2.2
 // <N>              := <nfold> <A>? <T>?
 // <nfold>          := "-"? ("1" | "2" | "3" | "4" | "6")
-// <A>              := [xyz] | "'" | '"' | "=" | "*"  # Table A.1.4.2.4, Table A.1.4.2.5, Table A.1.4.2.6
+// <A>              := [xyz] | "^" | "=" | "*"  # Table A.1.4.2.4, Table A.1.4.2.5, Table A.1.4.2.6
+//                                              # The original axis symbol "'" is substituted with "^"
+//                                              # The original axis symbol """ is substituted with "="
 // <T>              := [abcnuvwd] | [1-6]  # Table A.1.4.2.3
 // <V>              := "(" [0-11] [0-11] [0-11] ")"
 #[derive(Debug)]
@@ -33,39 +39,10 @@ pub struct HallSymbol {
 impl HallSymbol {
     pub fn new(hall_symbol: &str) -> Option<Self> {
         let tokens = tokenize(hall_symbol);
-
-        let (inversion_at_origin, lattice_symbol) = parse_lattice(tokens[0])?;
-
-        let mut ns = vec![];
-        let mut rotation_count = 0;
-        let mut origin_shift = Vector3::<f64>::zeros();
-        let mut prev_nfold = String::new();
-        let mut prev_axis = String::new();
-
-        for cursor in 1..tokens.len() {
-            if tokens[cursor].chars().nth(0).unwrap() == '(' {
-                // token = (vx, vy, vz)
-                origin_shift = parse_origin_shift(tokens.iter().skip(cursor).cloned().collect())?;
-                break;
-            } else {
-                // We need to remember the location of "N" symbols and preceding "N" symbol
-                // because its default axis depends on them!
-                let (rotation, translation, nfold, axis) =
-                    parse_operation(tokens[cursor], rotation_count, prev_nfold, prev_axis)?;
-                ns.push((rotation, translation));
-                prev_axis = axis;
-                prev_nfold = nfold;
-                rotation_count += 1;
-            }
-        }
+        let (inversion_at_origin, lattice_symbol, ns, origin_shift) = parse(&tokens)?;
 
         // From translation subgroup
-        let centering_translations = lattice_symbol
-            .lattice_points()
-            .iter()
-            .filter(|&&translation| relative_ne!(translation, Translation::zeros(), epsilon = EPS))
-            .cloned()
-            .collect::<Vec<_>>();
+        let centering_translations = get_centering_translations(&lattice_symbol);
 
         // change basis by (I, v)
         // (R, tau) -> (R, tau + v - Rv)
@@ -75,7 +52,11 @@ impl HallSymbol {
             generators.push(Operation::new(-Rotation::identity(), 2.0 * origin_shift));
         }
 
-        for (rotation, translation) in ns {
+        for (rotation, translation, time_reversal) in ns {
+            if time_reversal {
+                debug!("Use MagneticHallSymbol for magnetic space groups.");
+                return None;
+            }
             let translation_mod1 = (translation + origin_shift
                 - rotation.map(|e| e as f64) * origin_shift)
                 .map(|e| e.rem_euclid(1.0));
@@ -97,29 +78,27 @@ impl HallSymbol {
         let mut hm_translations = HashMap::new();
         let mut operations = vec![];
 
-        queue.push_back((Rotation::identity(), Translation::zeros()));
+        queue.push_back(Operation::identity());
 
         while !queue.is_empty() {
-            let (rotation_lhs, translation_lhs) = queue.pop_front().unwrap();
-            let entry = hm_translations.entry(rotation_lhs);
+            let ops_lhs = queue.pop_front().unwrap();
+            let entry = hm_translations.entry(ops_lhs.rotation);
             if let Entry::Occupied(_) = entry {
                 continue;
             }
-            entry.or_insert(translation_lhs);
-            operations.push(Operation::new(rotation_lhs, translation_lhs));
+            entry.or_insert(ops_lhs.translation);
+            operations.push(ops_lhs.clone());
 
             for rhs in self.generators.iter() {
-                let new_rotation = rotation_lhs * rhs.rotation;
-                let new_translation =
-                    rotation_lhs.map(|e| e as f64) * rhs.translation + translation_lhs;
-                let new_translation_mod1 = new_translation.map(|e| {
+                let new_ops = ops_lhs.clone() * rhs.clone();
+                let new_translation_mod1 = new_ops.translation.map(|e| {
                     let mut eint = (e * (MAX_DENOMINATOR as f64)).round() as i32;
                     eint = eint.rem_euclid(MAX_DENOMINATOR);
                     (eint as f64) / (MAX_DENOMINATOR as f64)
                 });
 
-                if !hm_translations.contains_key(&new_rotation) {
-                    queue.push_back((new_rotation, new_translation_mod1));
+                if !hm_translations.contains_key(&new_ops.rotation) {
+                    queue.push_back(Operation::new(new_ops.rotation, new_translation_mod1));
                 }
             }
         }
@@ -141,6 +120,103 @@ impl HallSymbol {
     }
 }
 
+// Magnetic Hall symbol [J. Appl. Cryst. (2021). 54, 338-342]
+//
+// Extended Backus-Naur form (EBNF) for Magnetic Hall symbols
+// ----------------------------------------------------------
+// <Magnetic Hall symbol> := <L> <N-MSG>+ <V>?
+// <N-MSG>                := <nfold> <A>? <T>? "'"?  # "'" represents time reversal
+#[derive(Debug)]
+pub struct MagneticHallSymbol {
+    pub magnetic_hall_symbol: String,
+    pub centering: Centering,
+    pub centering_translations: Vec<Translation>,
+    /// Generators of the magnetic space group except pure translations, which may include an anti translation
+    pub generators: MagneticOperations,
+}
+
+impl MagneticHallSymbol {
+    pub fn new(magnetic_hall_symbol: &str) -> Option<Self> {
+        let tokens = tokenize(magnetic_hall_symbol);
+        let (inversion_at_origin, lattice_symbol, ns, origin_shift) = parse(&tokens)?;
+
+        // From translation subgroup
+        let centering_translations = get_centering_translations(&lattice_symbol);
+
+        // change basis by (I, v)
+        // (R, tau) -> (R, tau + v - Rv)
+        let mut generators = vec![];
+
+        if inversion_at_origin {
+            generators.push(MagneticOperation::new(
+                -Rotation::identity(),
+                2.0 * origin_shift,
+                false,
+            ));
+        }
+
+        for (rotation, translation, time_reversal) in ns {
+            let translation_mod1 = (translation + origin_shift
+                - rotation.map(|e| e as f64) * origin_shift)
+                .map(|e| e.rem_euclid(1.0));
+            generators.push(MagneticOperation::new(
+                rotation,
+                translation_mod1,
+                time_reversal,
+            ));
+        }
+
+        Some(Self {
+            magnetic_hall_symbol: magnetic_hall_symbol.to_string(),
+            centering: lattice_symbol,
+            centering_translations,
+            generators,
+        })
+    }
+
+    /// Traverse all the magnetic symmetry operations up to translations by conventional cell.
+    /// The order of operations is guaranteed to be fixed.
+    pub fn traverse(&self) -> MagneticOperations {
+        let mut queue = VecDeque::new();
+        let mut hm_translations = HashMap::new();
+        let mut operations = vec![];
+
+        queue.push_back(MagneticOperation::identity());
+
+        while !queue.is_empty() {
+            let ops_lhs = queue.pop_front().unwrap();
+            let entry = hm_translations.entry((ops_lhs.operation.rotation, ops_lhs.time_reversal));
+            if let Entry::Occupied(_) = entry {
+                continue;
+            }
+            entry.or_insert(ops_lhs.operation.translation);
+            operations.push(ops_lhs.clone());
+
+            for rhs in self.generators.iter() {
+                let new_ops = ops_lhs.clone() * rhs.clone();
+                let new_translation_mod1 = new_ops.operation.translation.map(|e| {
+                    let mut eint = (e * (MAX_DENOMINATOR as f64)).round() as i32;
+                    eint = eint.rem_euclid(MAX_DENOMINATOR);
+                    (eint as f64) / (MAX_DENOMINATOR as f64)
+                });
+
+                if !hm_translations
+                    .contains_key(&(new_ops.operation.rotation, new_ops.time_reversal))
+                {
+                    queue.push_back(MagneticOperation::new(
+                        new_ops.operation.rotation,
+                        new_translation_mod1,
+                        new_ops.time_reversal,
+                    ));
+                }
+            }
+        }
+
+        operations
+    }
+}
+
+/// Tokenize string by whitespaces
 fn tokenize(hall_symbol: &str) -> Vec<&str> {
     let tokens = hall_symbol
         .split_whitespace()
@@ -149,6 +225,43 @@ fn tokenize(hall_symbol: &str) -> Vec<&str> {
     tokens
 }
 
+#[allow(clippy::type_complexity)]
+fn parse(
+    tokens: &Vec<&str>,
+) -> Option<(
+    bool,
+    Centering,
+    Vec<(Rotation, Translation, TimeReversal)>,
+    OriginShift,
+)> {
+    let (inversion_at_origin, lattice_symbol) = parse_lattice(tokens[0])?;
+
+    let mut ns = vec![];
+    let mut rotation_count = 0;
+    let mut origin_shift = Vector3::<f64>::zeros();
+    let mut prev_nfold = String::new();
+    let mut prev_axis = String::new();
+
+    for cursor in 1..tokens.len() {
+        if tokens[cursor].starts_with('(') {
+            // token = (vx, vy, vz)
+            origin_shift = parse_origin_shift(tokens.iter().skip(cursor).cloned().collect())?;
+            break;
+        } else {
+            // We need to remember the location of "N" symbols and preceding "N" symbol
+            // because its default axis depends on them!
+            let (rotation, translation, time_reversal, nfold, axis) =
+                parse_operation(tokens[cursor], rotation_count, prev_nfold, prev_axis)?;
+            ns.push((rotation, translation, time_reversal));
+            prev_axis = axis;
+            prev_nfold = nfold;
+            rotation_count += 1;
+        }
+    }
+
+    Some((inversion_at_origin, lattice_symbol, ns, origin_shift))
+}
+
 fn parse_lattice(token: &str) -> Option<(bool, Centering)> {
     let mut pos = 0;
     let inversion_at_origin = match token.chars().nth(pos).unwrap() {
@@ -176,8 +289,8 @@ fn parse_origin_shift(tokens: Vec<&str>) -> Option<Vector3<f64>> {
     let tokens = tokens
         .iter()
         .map(|s| {
-            if s.chars().nth(0).unwrap() == '(' {
-                &s[1..]
+            if let Some(stripped) = s.strip_prefix('(') {
+                stripped
             } else if s.chars().nth(s.len() - 1).unwrap() == ')' {
                 &s[..s.len() - 1]
             } else {
@@ -202,7 +315,7 @@ fn parse_operation(
     count: usize,
     prev_nfold: String,
     prev_axis: String,
-) -> Option<(Rotation, Translation, String, String)> {
+) -> Option<(Rotation, Translation, TimeReversal, String, String)> {
     let mut pos = 0;
 
     let improper = match token.chars().nth(pos).unwrap() {
@@ -216,15 +329,12 @@ fn parse_operation(
     let nfold = token.chars().nth(pos).unwrap().to_string();
     pos += 1;
 
-    let prime_axis_symbol = '\'';
     let mut axis = String::new();
     if pos < token.len() {
-        if token.chars().nth(pos).unwrap() == prime_axis_symbol {
+        if token.chars().nth(pos).unwrap() == '^' {
             axis += "p";
             pos += 1;
-        } else if (token.chars().nth(pos).unwrap() == '"')
-            || (token.chars().nth(pos).unwrap() == '=')
-        {
+        } else if token.chars().nth(pos).unwrap() == '=' {
             axis += "pp";
             pos += 1;
         }
@@ -285,8 +395,9 @@ fn parse_operation(
         rotation *= -1;
     }
 
-    // translation
+    // translation and time reversal
     let mut translation = Translation::zeros();
+    let mut time_reversal = false;
 
     while pos < token.len() {
         let c = token.chars().nth(pos).unwrap();
@@ -300,6 +411,8 @@ fn parse_operation(
             );
         } else if "abcnuvwd".contains(c) {
             translation += parse_translation_vector(c)?;
+        } else if c == '\'' {
+            time_reversal = true;
         } else {
             break;
         }
@@ -307,7 +420,13 @@ fn parse_operation(
     }
 
     assert_eq!(pos, token.len());
-    Some((rotation, translation, nfold, axis.to_string()))
+    Some((
+        rotation,
+        translation,
+        time_reversal,
+        nfold,
+        axis.to_string(),
+    ))
 }
 
 fn parse_rotation_matrix(axis: &str) -> Option<Rotation> {
@@ -430,14 +549,21 @@ fn parse_translation_vector(symbol: char) -> Option<Translation> {
     }
 }
 
+fn get_centering_translations(lattice_symbol: &Centering) -> Vec<Translation> {
+    lattice_symbol
+        .lattice_points()
+        .iter()
+        .filter(|&&translation| relative_ne!(translation, Translation::zeros(), epsilon = EPS))
+        .cloned()
+        .collect::<Vec<_>>()
+}
+
 #[cfg(test)]
 mod tests {
     use nalgebra::{matrix, vector};
     use rstest::rstest;
-    use strum::IntoEnumIterator;
 
-    use super::{Centering, HallSymbol};
-    use crate::base::Transformation;
+    use super::*;
 
     #[rstest]
     #[case("P 2 2ab -1ab", Centering::P, 0, 3, 8)] // No. 51
@@ -487,13 +613,22 @@ mod tests {
         assert_relative_eq!(generators[1].translation, vector![0.0, 0.0, 5.0 / 6.0]);
     }
 
-    #[test]
-    fn test_conventional_transformation_matrix() {
-        for centering in Centering::iter() {
-            assert_eq!(
-                Transformation::from_linear(centering.linear()).size,
-                centering.order()
-            );
-        }
+    #[rstest]
+    #[case("P 31 2 1c' (0 0 4)", Centering::P, 0, 3, 12)] // 151.32 (type-IV)
+    #[case("P 6c 2c' -1'", Centering::P, 0, 3, 24)] // 194.265 (type-III)
+    #[case("F 4d 2 3 1'", Centering::F, 3, 4, 48)] // 210.53 (type-II)
+    fn test_magnetic_hall_symbol_small(
+        #[case] magnetic_hall_symbol: &str,
+        #[case] lattice_symbol: Centering,
+        #[case] num_centering_translations: usize,
+        #[case] num_generators: usize,
+        #[case] num_operations: usize, // without centerings
+    ) {
+        let mhs = MagneticHallSymbol::new(magnetic_hall_symbol).unwrap();
+        assert_eq!(mhs.centering, lattice_symbol);
+        assert_eq!(mhs.centering_translations.len(), num_centering_translations);
+        assert_eq!(mhs.generators.len(), num_generators);
+        let magnetic_operations = mhs.traverse();
+        assert_eq!(magnetic_operations.len(), num_operations);
     }
 }

From a987bfd03b698004c7ca46efdabc99449e4ac6bd Mon Sep 17 00:00:00 2001
From: lan496 <kshinohara0508@gmail.com>
Date: Mon, 30 Dec 2024 13:11:45 +0900
Subject: [PATCH 2/4] refactor

---
 moyo/src/data/hall_symbol.rs | 20 ++++++++++----------
 1 file changed, 10 insertions(+), 10 deletions(-)

diff --git a/moyo/src/data/hall_symbol.rs b/moyo/src/data/hall_symbol.rs
index bdd0930..c610fae 100644
--- a/moyo/src/data/hall_symbol.rs
+++ b/moyo/src/data/hall_symbol.rs
@@ -91,11 +91,7 @@ impl HallSymbol {
 
             for rhs in self.generators.iter() {
                 let new_ops = ops_lhs.clone() * rhs.clone();
-                let new_translation_mod1 = new_ops.translation.map(|e| {
-                    let mut eint = (e * (MAX_DENOMINATOR as f64)).round() as i32;
-                    eint = eint.rem_euclid(MAX_DENOMINATOR);
-                    (eint as f64) / (MAX_DENOMINATOR as f64)
-                });
+                let new_translation_mod1 = purify_translation_mod1(&new_ops.translation);
 
                 if !hm_translations.contains_key(&new_ops.rotation) {
                     queue.push_back(Operation::new(new_ops.rotation, new_translation_mod1));
@@ -194,11 +190,7 @@ impl MagneticHallSymbol {
 
             for rhs in self.generators.iter() {
                 let new_ops = ops_lhs.clone() * rhs.clone();
-                let new_translation_mod1 = new_ops.operation.translation.map(|e| {
-                    let mut eint = (e * (MAX_DENOMINATOR as f64)).round() as i32;
-                    eint = eint.rem_euclid(MAX_DENOMINATOR);
-                    (eint as f64) / (MAX_DENOMINATOR as f64)
-                });
+                let new_translation_mod1 = purify_translation_mod1(&new_ops.operation.translation);
 
                 if !hm_translations
                     .contains_key(&(new_ops.operation.rotation, new_ops.time_reversal))
@@ -558,6 +550,14 @@ fn get_centering_translations(lattice_symbol: &Centering) -> Vec<Translation> {
         .collect::<Vec<_>>()
 }
 
+fn purify_translation_mod1(translation: &Translation) -> Translation {
+    translation.map(|e| {
+        let mut eint = (e * (MAX_DENOMINATOR as f64)).round() as i32;
+        eint = eint.rem_euclid(MAX_DENOMINATOR);
+        (eint as f64) / (MAX_DENOMINATOR as f64)
+    })
+}
+
 #[cfg(test)]
 mod tests {
     use nalgebra::{matrix, vector};

From 7756eb2c628a046b41fd108f259690fcc19f86c7 Mon Sep 17 00:00:00 2001
From: lan496 <kshinohara0508@gmail.com>
Date: Mon, 30 Dec 2024 16:18:51 +0900
Subject: [PATCH 3/4] magnetic space group type DB

---
 moyo/src/data.rs                      |    1 +
 moyo/src/data/magnetic_space_group.rs | 6155 +++++++++++++++++++++++++
 scripts/magnetic_space_group_type.py  |   95 +
 3 files changed, 6251 insertions(+)
 create mode 100644 moyo/src/data/magnetic_space_group.rs
 create mode 100644 scripts/magnetic_space_group_type.py

diff --git a/moyo/src/data.rs b/moyo/src/data.rs
index 2955359..167a95c 100644
--- a/moyo/src/data.rs
+++ b/moyo/src/data.rs
@@ -3,6 +3,7 @@ mod centering;
 mod classification;
 mod hall_symbol;
 mod hall_symbol_database;
+mod magnetic_space_group;
 mod point_group;
 mod setting;
 mod wyckoff;
diff --git a/moyo/src/data/magnetic_space_group.rs b/moyo/src/data/magnetic_space_group.rs
new file mode 100644
index 0000000..d20d761
--- /dev/null
+++ b/moyo/src/data/magnetic_space_group.rs
@@ -0,0 +1,6155 @@
+use super::hall_symbol_database::Number;
+
+/// UNI Number for magnetic space groups (1 - 1651)
+pub type UNINumber = i32;
+
+#[derive(Debug, Clone)]
+pub enum ConstructType {
+    Type1,
+    Type2,
+    Type3,
+    Type4,
+}
+
+#[derive(Debug, Clone)]
+pub struct MagneticSpaceGroupType {
+    pub uni_number: UNINumber,
+    pub litvin_number: i32,
+    pub bns_number: &'static str,
+    pub og_number: &'static str,
+    /// ITA number for maximal space subgroup (XSG)
+    pub xsg_number: Number,
+    pub construct_type: ConstructType,
+}
+
+impl MagneticSpaceGroupType {
+    const fn new(
+        uni_number: UNINumber,
+        litvin_number: i32,
+        bns_number: &'static str,
+        og_number: &'static str,
+        xsg_number: Number,
+        construct_type: ConstructType,
+    ) -> Self {
+        Self {
+            uni_number,
+            litvin_number,
+            bns_number,
+            og_number,
+            xsg_number,
+            construct_type,
+        }
+    }
+}
+
+pub fn get_magnetic_space_group_type(uni_number: UNINumber) -> Option<MagneticSpaceGroupType> {
+    MAGNETIC_SPACE_GROUP_TYPES
+        .get((uni_number - 1) as usize)
+        .cloned()
+}
+
+const MAGNETIC_SPACE_GROUP_TYPES: [MagneticSpaceGroupType; 1651] = [
+    MagneticSpaceGroupType::new(1, 1, "1.1", "1.1.1", 1, ConstructType::Type1),
+    MagneticSpaceGroupType::new(2, 2, "1.2", "1.2.2", 1, ConstructType::Type2),
+    MagneticSpaceGroupType::new(3, 3, "1.3", "1.3.3", 1, ConstructType::Type4),
+    MagneticSpaceGroupType::new(4, 4, "2.4", "2.1.4", 2, ConstructType::Type1),
+    MagneticSpaceGroupType::new(5, 5, "2.5", "2.2.5", 2, ConstructType::Type2),
+    MagneticSpaceGroupType::new(6, 6, "2.6", "2.3.6", 2, ConstructType::Type3),
+    MagneticSpaceGroupType::new(7, 7, "2.7", "2.4.7", 2, ConstructType::Type4),
+    MagneticSpaceGroupType::new(8, 8, "3.1", "3.1.8", 3, ConstructType::Type1),
+    MagneticSpaceGroupType::new(9, 9, "3.2", "3.2.9", 3, ConstructType::Type2),
+    MagneticSpaceGroupType::new(10, 10, "3.3", "3.3.10", 3, ConstructType::Type3),
+    MagneticSpaceGroupType::new(11, 11, "3.4", "3.4.11", 3, ConstructType::Type4),
+    MagneticSpaceGroupType::new(12, 12, "3.5", "3.5.12", 3, ConstructType::Type4),
+    MagneticSpaceGroupType::new(13, 23, "3.6", "5.5.23", 3, ConstructType::Type4),
+    MagneticSpaceGroupType::new(14, 15, "4.7", "4.1.15", 4, ConstructType::Type1),
+    MagneticSpaceGroupType::new(15, 16, "4.8", "4.2.16", 4, ConstructType::Type2),
+    MagneticSpaceGroupType::new(16, 17, "4.9", "4.3.17", 4, ConstructType::Type3),
+    MagneticSpaceGroupType::new(17, 18, "4.10", "4.4.18", 4, ConstructType::Type4),
+    MagneticSpaceGroupType::new(18, 14, "4.11", "3.7.14", 4, ConstructType::Type4),
+    MagneticSpaceGroupType::new(19, 24, "4.12", "5.6.24", 4, ConstructType::Type4),
+    MagneticSpaceGroupType::new(20, 19, "5.13", "5.1.19", 5, ConstructType::Type1),
+    MagneticSpaceGroupType::new(21, 20, "5.14", "5.2.20", 5, ConstructType::Type2),
+    MagneticSpaceGroupType::new(22, 21, "5.15", "5.3.21", 5, ConstructType::Type3),
+    MagneticSpaceGroupType::new(23, 22, "5.16", "5.4.22", 5, ConstructType::Type4),
+    MagneticSpaceGroupType::new(24, 13, "5.17", "3.6.13", 5, ConstructType::Type4),
+    MagneticSpaceGroupType::new(25, 25, "6.18", "6.1.25", 6, ConstructType::Type1),
+    MagneticSpaceGroupType::new(26, 26, "6.19", "6.2.26", 6, ConstructType::Type2),
+    MagneticSpaceGroupType::new(27, 27, "6.20", "6.3.27", 6, ConstructType::Type3),
+    MagneticSpaceGroupType::new(28, 28, "6.21", "6.4.28", 6, ConstructType::Type4),
+    MagneticSpaceGroupType::new(29, 29, "6.22", "6.5.29", 6, ConstructType::Type4),
+    MagneticSpaceGroupType::new(30, 42, "6.23", "8.5.42", 6, ConstructType::Type4),
+    MagneticSpaceGroupType::new(31, 32, "7.24", "7.1.32", 7, ConstructType::Type1),
+    MagneticSpaceGroupType::new(32, 33, "7.25", "7.2.33", 7, ConstructType::Type2),
+    MagneticSpaceGroupType::new(33, 34, "7.26", "7.3.34", 7, ConstructType::Type3),
+    MagneticSpaceGroupType::new(34, 35, "7.27", "7.4.35", 7, ConstructType::Type4),
+    MagneticSpaceGroupType::new(35, 31, "7.28", "6.7.31", 7, ConstructType::Type4),
+    MagneticSpaceGroupType::new(36, 36, "7.29", "7.5.36", 7, ConstructType::Type4),
+    MagneticSpaceGroupType::new(37, 48, "7.30", "9.4.48", 7, ConstructType::Type4),
+    MagneticSpaceGroupType::new(38, 44, "7.31", "8.7.44", 7, ConstructType::Type4),
+    MagneticSpaceGroupType::new(39, 38, "8.32", "8.1.38", 8, ConstructType::Type1),
+    MagneticSpaceGroupType::new(40, 39, "8.33", "8.2.39", 8, ConstructType::Type2),
+    MagneticSpaceGroupType::new(41, 40, "8.34", "8.3.40", 8, ConstructType::Type3),
+    MagneticSpaceGroupType::new(42, 41, "8.35", "8.4.41", 8, ConstructType::Type4),
+    MagneticSpaceGroupType::new(43, 30, "8.36", "6.6.30", 8, ConstructType::Type4),
+    MagneticSpaceGroupType::new(44, 45, "9.37", "9.1.45", 9, ConstructType::Type1),
+    MagneticSpaceGroupType::new(45, 46, "9.38", "9.2.46", 9, ConstructType::Type2),
+    MagneticSpaceGroupType::new(46, 47, "9.39", "9.3.47", 9, ConstructType::Type3),
+    MagneticSpaceGroupType::new(47, 43, "9.40", "8.6.43", 9, ConstructType::Type4),
+    MagneticSpaceGroupType::new(48, 37, "9.41", "7.6.37", 9, ConstructType::Type4),
+    MagneticSpaceGroupType::new(49, 49, "10.42", "10.1.49", 10, ConstructType::Type1),
+    MagneticSpaceGroupType::new(50, 50, "10.43", "10.2.50", 10, ConstructType::Type2),
+    MagneticSpaceGroupType::new(51, 51, "10.44", "10.3.51", 10, ConstructType::Type3),
+    MagneticSpaceGroupType::new(52, 52, "10.45", "10.4.52", 10, ConstructType::Type3),
+    MagneticSpaceGroupType::new(53, 53, "10.46", "10.5.53", 10, ConstructType::Type3),
+    MagneticSpaceGroupType::new(54, 54, "10.47", "10.6.54", 10, ConstructType::Type4),
+    MagneticSpaceGroupType::new(55, 55, "10.48", "10.7.55", 10, ConstructType::Type4),
+    MagneticSpaceGroupType::new(56, 72, "10.49", "12.7.72", 10, ConstructType::Type4),
+    MagneticSpaceGroupType::new(57, 59, "11.50", "11.1.59", 11, ConstructType::Type1),
+    MagneticSpaceGroupType::new(58, 60, "11.51", "11.2.60", 11, ConstructType::Type2),
+    MagneticSpaceGroupType::new(59, 61, "11.52", "11.3.61", 11, ConstructType::Type3),
+    MagneticSpaceGroupType::new(60, 62, "11.53", "11.4.62", 11, ConstructType::Type3),
+    MagneticSpaceGroupType::new(61, 63, "11.54", "11.5.63", 11, ConstructType::Type3),
+    MagneticSpaceGroupType::new(62, 64, "11.55", "11.6.64", 11, ConstructType::Type4),
+    MagneticSpaceGroupType::new(63, 57, "11.56", "10.9.57", 11, ConstructType::Type4),
+    MagneticSpaceGroupType::new(64, 74, "11.57", "12.9.74", 11, ConstructType::Type4),
+    MagneticSpaceGroupType::new(65, 66, "12.58", "12.1.66", 12, ConstructType::Type1),
+    MagneticSpaceGroupType::new(66, 67, "12.59", "12.2.67", 12, ConstructType::Type2),
+    MagneticSpaceGroupType::new(67, 68, "12.60", "12.3.68", 12, ConstructType::Type3),
+    MagneticSpaceGroupType::new(68, 69, "12.61", "12.4.69", 12, ConstructType::Type3),
+    MagneticSpaceGroupType::new(69, 70, "12.62", "12.5.70", 12, ConstructType::Type3),
+    MagneticSpaceGroupType::new(70, 71, "12.63", "12.6.71", 12, ConstructType::Type4),
+    MagneticSpaceGroupType::new(71, 56, "12.64", "10.8.56", 12, ConstructType::Type4),
+    MagneticSpaceGroupType::new(72, 77, "13.65", "13.1.77", 13, ConstructType::Type1),
+    MagneticSpaceGroupType::new(73, 78, "13.66", "13.2.78", 13, ConstructType::Type2),
+    MagneticSpaceGroupType::new(74, 79, "13.67", "13.3.79", 13, ConstructType::Type3),
+    MagneticSpaceGroupType::new(75, 80, "13.68", "13.4.80", 13, ConstructType::Type3),
+    MagneticSpaceGroupType::new(76, 81, "13.69", "13.5.81", 13, ConstructType::Type3),
+    MagneticSpaceGroupType::new(77, 82, "13.70", "13.6.82", 13, ConstructType::Type4),
+    MagneticSpaceGroupType::new(78, 83, "13.71", "13.7.83", 13, ConstructType::Type4),
+    MagneticSpaceGroupType::new(79, 58, "13.72", "10.10.58", 13, ConstructType::Type4),
+    MagneticSpaceGroupType::new(80, 75, "13.73", "12.10.75", 13, ConstructType::Type4),
+    MagneticSpaceGroupType::new(81, 97, "13.74", "15.6.97", 13, ConstructType::Type4),
+    MagneticSpaceGroupType::new(82, 86, "14.75", "14.1.86", 14, ConstructType::Type1),
+    MagneticSpaceGroupType::new(83, 87, "14.76", "14.2.87", 14, ConstructType::Type2),
+    MagneticSpaceGroupType::new(84, 88, "14.77", "14.3.88", 14, ConstructType::Type3),
+    MagneticSpaceGroupType::new(85, 89, "14.78", "14.4.89", 14, ConstructType::Type3),
+    MagneticSpaceGroupType::new(86, 90, "14.79", "14.5.90", 14, ConstructType::Type3),
+    MagneticSpaceGroupType::new(87, 91, "14.80", "14.6.91", 14, ConstructType::Type4),
+    MagneticSpaceGroupType::new(88, 85, "14.81", "13.9.85", 14, ConstructType::Type4),
+    MagneticSpaceGroupType::new(89, 65, "14.82", "11.7.65", 14, ConstructType::Type4),
+    MagneticSpaceGroupType::new(90, 76, "14.83", "12.11.76", 14, ConstructType::Type4),
+    MagneticSpaceGroupType::new(91, 98, "14.84", "15.7.98", 14, ConstructType::Type4),
+    MagneticSpaceGroupType::new(92, 92, "15.85", "15.1.92", 15, ConstructType::Type1),
+    MagneticSpaceGroupType::new(93, 93, "15.86", "15.2.93", 15, ConstructType::Type2),
+    MagneticSpaceGroupType::new(94, 94, "15.87", "15.3.94", 15, ConstructType::Type3),
+    MagneticSpaceGroupType::new(95, 95, "15.88", "15.4.95", 15, ConstructType::Type3),
+    MagneticSpaceGroupType::new(96, 96, "15.89", "15.5.96", 15, ConstructType::Type3),
+    MagneticSpaceGroupType::new(97, 73, "15.90", "12.8.73", 15, ConstructType::Type4),
+    MagneticSpaceGroupType::new(98, 84, "15.91", "13.8.84", 15, ConstructType::Type4),
+    MagneticSpaceGroupType::new(99, 99, "16.1", "16.1.99", 16, ConstructType::Type1),
+    MagneticSpaceGroupType::new(100, 100, "16.2", "16.2.100", 16, ConstructType::Type2),
+    MagneticSpaceGroupType::new(101, 101, "16.3", "16.3.101", 16, ConstructType::Type3),
+    MagneticSpaceGroupType::new(102, 102, "16.4", "16.4.102", 16, ConstructType::Type4),
+    MagneticSpaceGroupType::new(103, 134, "16.5", "21.6.134", 16, ConstructType::Type4),
+    MagneticSpaceGroupType::new(104, 148, "16.6", "23.4.148", 16, ConstructType::Type4),
+    MagneticSpaceGroupType::new(105, 106, "17.7", "17.1.106", 17, ConstructType::Type1),
+    MagneticSpaceGroupType::new(106, 107, "17.8", "17.2.107", 17, ConstructType::Type2),
+    MagneticSpaceGroupType::new(107, 108, "17.9", "17.3.108", 17, ConstructType::Type3),
+    MagneticSpaceGroupType::new(108, 109, "17.10", "17.4.109", 17, ConstructType::Type3),
+    MagneticSpaceGroupType::new(109, 110, "17.11", "17.5.110", 17, ConstructType::Type4),
+    MagneticSpaceGroupType::new(110, 105, "17.12", "16.7.105", 17, ConstructType::Type4),
+    MagneticSpaceGroupType::new(111, 138, "17.13", "21.10.138", 17, ConstructType::Type4),
+    MagneticSpaceGroupType::new(112, 126, "17.14", "20.5.126", 17, ConstructType::Type4),
+    MagneticSpaceGroupType::new(113, 154, "17.15", "24.5.154", 17, ConstructType::Type4),
+    MagneticSpaceGroupType::new(114, 113, "18.16", "18.1.113", 18, ConstructType::Type1),
+    MagneticSpaceGroupType::new(115, 114, "18.17", "18.2.114", 18, ConstructType::Type2),
+    MagneticSpaceGroupType::new(116, 115, "18.18", "18.3.115", 18, ConstructType::Type3),
+    MagneticSpaceGroupType::new(117, 116, "18.19", "18.4.116", 18, ConstructType::Type3),
+    MagneticSpaceGroupType::new(118, 112, "18.20", "17.7.112", 18, ConstructType::Type4),
+    MagneticSpaceGroupType::new(119, 117, "18.21", "18.5.117", 18, ConstructType::Type4),
+    MagneticSpaceGroupType::new(120, 128, "18.22", "20.7.128", 18, ConstructType::Type4),
+    MagneticSpaceGroupType::new(121, 137, "18.23", "21.9.137", 18, ConstructType::Type4),
+    MagneticSpaceGroupType::new(122, 149, "18.24", "23.5.149", 18, ConstructType::Type4),
+    MagneticSpaceGroupType::new(123, 119, "19.25", "19.1.119", 19, ConstructType::Type1),
+    MagneticSpaceGroupType::new(124, 120, "19.26", "19.2.120", 19, ConstructType::Type2),
+    MagneticSpaceGroupType::new(125, 121, "19.27", "19.3.121", 19, ConstructType::Type3),
+    MagneticSpaceGroupType::new(126, 118, "19.28", "18.6.118", 19, ConstructType::Type4),
+    MagneticSpaceGroupType::new(127, 127, "19.29", "20.6.127", 19, ConstructType::Type4),
+    MagneticSpaceGroupType::new(128, 153, "19.30", "24.4.153", 19, ConstructType::Type4),
+    MagneticSpaceGroupType::new(129, 122, "20.31", "20.1.122", 20, ConstructType::Type1),
+    MagneticSpaceGroupType::new(130, 123, "20.32", "20.2.123", 20, ConstructType::Type2),
+    MagneticSpaceGroupType::new(131, 124, "20.33", "20.3.124", 20, ConstructType::Type3),
+    MagneticSpaceGroupType::new(132, 125, "20.34", "20.4.125", 20, ConstructType::Type3),
+    MagneticSpaceGroupType::new(133, 136, "20.35", "21.8.136", 20, ConstructType::Type4),
+    MagneticSpaceGroupType::new(134, 111, "20.36", "17.6.111", 20, ConstructType::Type4),
+    MagneticSpaceGroupType::new(135, 144, "20.37", "22.5.144", 20, ConstructType::Type4),
+    MagneticSpaceGroupType::new(136, 129, "21.38", "21.1.129", 21, ConstructType::Type1),
+    MagneticSpaceGroupType::new(137, 130, "21.39", "21.2.130", 21, ConstructType::Type2),
+    MagneticSpaceGroupType::new(138, 131, "21.40", "21.3.131", 21, ConstructType::Type3),
+    MagneticSpaceGroupType::new(139, 132, "21.41", "21.4.132", 21, ConstructType::Type3),
+    MagneticSpaceGroupType::new(140, 133, "21.42", "21.5.133", 21, ConstructType::Type4),
+    MagneticSpaceGroupType::new(141, 103, "21.43", "16.5.103", 21, ConstructType::Type4),
+    MagneticSpaceGroupType::new(142, 143, "21.44", "22.4.143", 21, ConstructType::Type4),
+    MagneticSpaceGroupType::new(143, 140, "22.45", "22.1.140", 22, ConstructType::Type1),
+    MagneticSpaceGroupType::new(144, 141, "22.46", "22.2.141", 22, ConstructType::Type2),
+    MagneticSpaceGroupType::new(145, 142, "22.47", "22.3.142", 22, ConstructType::Type3),
+    MagneticSpaceGroupType::new(146, 104, "22.48", "16.6.104", 22, ConstructType::Type4),
+    MagneticSpaceGroupType::new(147, 145, "23.49", "23.1.145", 23, ConstructType::Type1),
+    MagneticSpaceGroupType::new(148, 146, "23.50", "23.2.146", 23, ConstructType::Type2),
+    MagneticSpaceGroupType::new(149, 147, "23.51", "23.3.147", 23, ConstructType::Type3),
+    MagneticSpaceGroupType::new(150, 135, "23.52", "21.7.135", 23, ConstructType::Type4),
+    MagneticSpaceGroupType::new(151, 150, "24.53", "24.1.150", 24, ConstructType::Type1),
+    MagneticSpaceGroupType::new(152, 151, "24.54", "24.2.151", 24, ConstructType::Type2),
+    MagneticSpaceGroupType::new(153, 152, "24.55", "24.3.152", 24, ConstructType::Type3),
+    MagneticSpaceGroupType::new(154, 139, "24.56", "21.11.139", 24, ConstructType::Type4),
+    MagneticSpaceGroupType::new(155, 155, "25.57", "25.1.155", 25, ConstructType::Type1),
+    MagneticSpaceGroupType::new(156, 156, "25.58", "25.2.156", 25, ConstructType::Type2),
+    MagneticSpaceGroupType::new(157, 157, "25.59", "25.3.157", 25, ConstructType::Type3),
+    MagneticSpaceGroupType::new(158, 158, "25.60", "25.4.158", 25, ConstructType::Type3),
+    MagneticSpaceGroupType::new(159, 159, "25.61", "25.5.159", 25, ConstructType::Type4),
+    MagneticSpaceGroupType::new(160, 160, "25.62", "25.6.160", 25, ConstructType::Type4),
+    MagneticSpaceGroupType::new(161, 241, "25.63", "35.6.241", 25, ConstructType::Type4),
+    MagneticSpaceGroupType::new(162, 271, "25.64", "38.7.271", 25, ConstructType::Type4),
+    MagneticSpaceGroupType::new(163, 328, "25.65", "44.5.328", 25, ConstructType::Type4),
+    MagneticSpaceGroupType::new(164, 168, "26.66", "26.1.168", 26, ConstructType::Type1),
+    MagneticSpaceGroupType::new(165, 169, "26.67", "26.2.169", 26, ConstructType::Type2),
+    MagneticSpaceGroupType::new(166, 170, "26.68", "26.3.170", 26, ConstructType::Type3),
+    MagneticSpaceGroupType::new(167, 171, "26.69", "26.4.171", 26, ConstructType::Type3),
+    MagneticSpaceGroupType::new(168, 172, "26.70", "26.5.172", 26, ConstructType::Type3),
+    MagneticSpaceGroupType::new(169, 173, "26.71", "26.6.173", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(170, 174, "26.72", "26.7.174", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(171, 164, "26.73", "25.10.164", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(172, 275, "26.74", "38.11.275", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(173, 287, "26.75", "39.10.287", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(174, 254, "26.76", "36.6.254", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(175, 345, "26.77", "46.8.345", 26, ConstructType::Type4),
+    MagneticSpaceGroupType::new(176, 178, "27.78", "27.1.178", 27, ConstructType::Type1),
+    MagneticSpaceGroupType::new(177, 179, "27.79", "27.2.179", 27, ConstructType::Type2),
+    MagneticSpaceGroupType::new(178, 180, "27.80", "27.3.180", 27, ConstructType::Type3),
+    MagneticSpaceGroupType::new(179, 181, "27.81", "27.4.181", 27, ConstructType::Type3),
+    MagneticSpaceGroupType::new(180, 165, "27.82", "25.11.165", 27, ConstructType::Type4),
+    MagneticSpaceGroupType::new(181, 182, "27.83", "27.5.182", 27, ConstructType::Type4),
+    MagneticSpaceGroupType::new(182, 262, "27.84", "37.5.262", 27, ConstructType::Type4),
+    MagneticSpaceGroupType::new(183, 289, "27.85", "39.12.289", 27, ConstructType::Type4),
+    MagneticSpaceGroupType::new(184, 335, "27.86", "45.5.335", 27, ConstructType::Type4),
+    MagneticSpaceGroupType::new(185, 185, "28.87", "28.1.185", 28, ConstructType::Type1),
+    MagneticSpaceGroupType::new(186, 186, "28.88", "28.2.186", 28, ConstructType::Type2),
+    MagneticSpaceGroupType::new(187, 187, "28.89", "28.3.187", 28, ConstructType::Type3),
+    MagneticSpaceGroupType::new(188, 188, "28.90", "28.4.188", 28, ConstructType::Type3),
+    MagneticSpaceGroupType::new(189, 189, "28.91", "28.5.189", 28, ConstructType::Type3),
+    MagneticSpaceGroupType::new(190, 166, "28.92", "25.12.166", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(191, 190, "28.93", "28.6.190", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(192, 191, "28.94", "28.7.191", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(193, 296, "28.95", "40.6.296", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(194, 284, "28.96", "39.7.284", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(195, 245, "28.97", "35.10.245", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(196, 343, "28.98", "46.6.343", 28, ConstructType::Type4),
+    MagneticSpaceGroupType::new(197, 198, "29.99", "29.1.198", 29, ConstructType::Type1),
+    MagneticSpaceGroupType::new(198, 199, "29.100", "29.2.199", 29, ConstructType::Type2),
+    MagneticSpaceGroupType::new(199, 200, "29.101", "29.3.200", 29, ConstructType::Type3),
+    MagneticSpaceGroupType::new(200, 201, "29.102", "29.4.201", 29, ConstructType::Type3),
+    MagneticSpaceGroupType::new(201, 202, "29.103", "29.5.202", 29, ConstructType::Type3),
+    MagneticSpaceGroupType::new(202, 177, "29.104", "26.10.177", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(203, 203, "29.105", "29.6.203", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(204, 194, "29.106", "28.10.194", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(205, 306, "29.107", "41.7.306", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(206, 288, "29.108", "39.11.288", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(207, 255, "29.109", "36.7.255", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(208, 336, "29.110", "45.6.336", 29, ConstructType::Type4),
+    MagneticSpaceGroupType::new(209, 205, "30.111", "30.1.205", 30, ConstructType::Type1),
+    MagneticSpaceGroupType::new(210, 206, "30.112", "30.2.206", 30, ConstructType::Type2),
+    MagneticSpaceGroupType::new(211, 207, "30.113", "30.3.207", 30, ConstructType::Type3),
+    MagneticSpaceGroupType::new(212, 208, "30.114", "30.4.208", 30, ConstructType::Type3),
+    MagneticSpaceGroupType::new(213, 209, "30.115", "30.5.209", 30, ConstructType::Type3),
+    MagneticSpaceGroupType::new(214, 210, "30.116", "30.6.210", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(215, 184, "30.117", "27.7.184", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(216, 196, "30.118", "28.12.196", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(217, 276, "30.119", "38.12.276", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(218, 308, "30.120", "41.9.308", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(219, 263, "30.121", "37.6.263", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(220, 346, "30.122", "46.9.346", 30, ConstructType::Type4),
+    MagneticSpaceGroupType::new(221, 212, "31.123", "31.1.212", 31, ConstructType::Type1),
+    MagneticSpaceGroupType::new(222, 213, "31.124", "31.2.213", 31, ConstructType::Type2),
+    MagneticSpaceGroupType::new(223, 214, "31.125", "31.3.214", 31, ConstructType::Type3),
+    MagneticSpaceGroupType::new(224, 215, "31.126", "31.4.215", 31, ConstructType::Type3),
+    MagneticSpaceGroupType::new(225, 216, "31.127", "31.5.216", 31, ConstructType::Type3),
+    MagneticSpaceGroupType::new(226, 176, "31.128", "26.9.176", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(227, 217, "31.129", "31.6.217", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(228, 195, "31.130", "28.11.195", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(229, 298, "31.131", "40.8.298", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(230, 274, "31.132", "38.10.274", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(231, 256, "31.133", "36.8.256", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(232, 329, "31.134", "44.6.329", 31, ConstructType::Type4),
+    MagneticSpaceGroupType::new(233, 219, "32.135", "32.1.219", 32, ConstructType::Type1),
+    MagneticSpaceGroupType::new(234, 220, "32.136", "32.2.220", 32, ConstructType::Type2),
+    MagneticSpaceGroupType::new(235, 221, "32.137", "32.3.221", 32, ConstructType::Type3),
+    MagneticSpaceGroupType::new(236, 222, "32.138", "32.4.222", 32, ConstructType::Type3),
+    MagneticSpaceGroupType::new(237, 223, "32.139", "32.5.223", 32, ConstructType::Type4),
+    MagneticSpaceGroupType::new(238, 193, "32.140", "28.9.193", 32, ConstructType::Type4),
+    MagneticSpaceGroupType::new(239, 246, "32.141", "35.11.246", 32, ConstructType::Type4),
+    MagneticSpaceGroupType::new(240, 305, "32.142", "41.6.305", 32, ConstructType::Type4),
+    MagneticSpaceGroupType::new(241, 337, "32.143", "45.7.337", 32, ConstructType::Type4),
+    MagneticSpaceGroupType::new(242, 226, "33.144", "33.1.226", 33, ConstructType::Type1),
+    MagneticSpaceGroupType::new(243, 227, "33.145", "33.2.227", 33, ConstructType::Type2),
+    MagneticSpaceGroupType::new(244, 228, "33.146", "33.3.228", 33, ConstructType::Type3),
+    MagneticSpaceGroupType::new(245, 229, "33.147", "33.4.229", 33, ConstructType::Type3),
+    MagneticSpaceGroupType::new(246, 230, "33.148", "33.5.230", 33, ConstructType::Type3),
+    MagneticSpaceGroupType::new(247, 218, "33.149", "31.7.218", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(248, 204, "33.150", "29.7.204", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(249, 224, "33.151", "32.6.224", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(250, 297, "33.152", "40.7.297", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(251, 307, "33.153", "41.8.307", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(252, 257, "33.154", "36.9.257", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(253, 344, "33.155", "46.7.344", 33, ConstructType::Type4),
+    MagneticSpaceGroupType::new(254, 231, "34.156", "34.1.231", 34, ConstructType::Type1),
+    MagneticSpaceGroupType::new(255, 232, "34.157", "34.2.232", 34, ConstructType::Type2),
+    MagneticSpaceGroupType::new(256, 233, "34.158", "34.3.233", 34, ConstructType::Type3),
+    MagneticSpaceGroupType::new(257, 234, "34.159", "34.4.234", 34, ConstructType::Type3),
+    MagneticSpaceGroupType::new(258, 211, "34.160", "30.7.211", 34, ConstructType::Type4),
+    MagneticSpaceGroupType::new(259, 225, "34.161", "32.7.225", 34, ConstructType::Type4),
+    MagneticSpaceGroupType::new(260, 299, "34.162", "40.9.299", 34, ConstructType::Type4),
+    MagneticSpaceGroupType::new(261, 264, "34.163", "37.7.264", 34, ConstructType::Type4),
+    MagneticSpaceGroupType::new(262, 330, "34.164", "44.7.330", 34, ConstructType::Type4),
+    MagneticSpaceGroupType::new(263, 236, "35.165", "35.1.236", 35, ConstructType::Type1),
+    MagneticSpaceGroupType::new(264, 237, "35.166", "35.2.237", 35, ConstructType::Type2),
+    MagneticSpaceGroupType::new(265, 238, "35.167", "35.3.238", 35, ConstructType::Type3),
+    MagneticSpaceGroupType::new(266, 239, "35.168", "35.4.239", 35, ConstructType::Type3),
+    MagneticSpaceGroupType::new(267, 240, "35.169", "35.5.240", 35, ConstructType::Type4),
+    MagneticSpaceGroupType::new(268, 161, "35.170", "25.7.161", 35, ConstructType::Type4),
+    MagneticSpaceGroupType::new(269, 313, "35.171", "42.5.313", 35, ConstructType::Type4),
+    MagneticSpaceGroupType::new(270, 249, "36.172", "36.1.249", 36, ConstructType::Type1),
+    MagneticSpaceGroupType::new(271, 250, "36.173", "36.2.250", 36, ConstructType::Type2),
+    MagneticSpaceGroupType::new(272, 251, "36.174", "36.3.251", 36, ConstructType::Type3),
+    MagneticSpaceGroupType::new(273, 252, "36.175", "36.4.252", 36, ConstructType::Type3),
+    MagneticSpaceGroupType::new(274, 253, "36.176", "36.5.253", 36, ConstructType::Type3),
+    MagneticSpaceGroupType::new(275, 243, "36.177", "35.8.243", 36, ConstructType::Type4),
+    MagneticSpaceGroupType::new(276, 175, "36.178", "26.8.175", 36, ConstructType::Type4),
+    MagneticSpaceGroupType::new(277, 315, "36.179", "42.7.315", 36, ConstructType::Type4),
+    MagneticSpaceGroupType::new(278, 258, "37.180", "37.1.258", 37, ConstructType::Type1),
+    MagneticSpaceGroupType::new(279, 259, "37.181", "37.2.259", 37, ConstructType::Type2),
+    MagneticSpaceGroupType::new(280, 260, "37.182", "37.3.260", 37, ConstructType::Type3),
+    MagneticSpaceGroupType::new(281, 261, "37.183", "37.4.261", 37, ConstructType::Type3),
+    MagneticSpaceGroupType::new(282, 244, "37.184", "35.9.244", 37, ConstructType::Type4),
+    MagneticSpaceGroupType::new(283, 183, "37.185", "27.6.183", 37, ConstructType::Type4),
+    MagneticSpaceGroupType::new(284, 316, "37.186", "42.8.316", 37, ConstructType::Type4),
+    MagneticSpaceGroupType::new(285, 265, "38.187", "38.1.265", 38, ConstructType::Type1),
+    MagneticSpaceGroupType::new(286, 266, "38.188", "38.2.266", 38, ConstructType::Type2),
+    MagneticSpaceGroupType::new(287, 267, "38.189", "38.3.267", 38, ConstructType::Type3),
+    MagneticSpaceGroupType::new(288, 268, "38.190", "38.4.268", 38, ConstructType::Type3),
+    MagneticSpaceGroupType::new(289, 269, "38.191", "38.5.269", 38, ConstructType::Type3),
+    MagneticSpaceGroupType::new(290, 270, "38.192", "38.6.270", 38, ConstructType::Type4),
+    MagneticSpaceGroupType::new(291, 162, "38.193", "25.8.162", 38, ConstructType::Type4),
+    MagneticSpaceGroupType::new(292, 314, "38.194", "42.6.314", 38, ConstructType::Type4),
+    MagneticSpaceGroupType::new(293, 278, "39.195", "39.1.278", 39, ConstructType::Type1),
+    MagneticSpaceGroupType::new(294, 279, "39.196", "39.2.279", 39, ConstructType::Type2),
+    MagneticSpaceGroupType::new(295, 280, "39.197", "39.3.280", 39, ConstructType::Type3),
+    MagneticSpaceGroupType::new(296, 281, "39.198", "39.4.281", 39, ConstructType::Type3),
+    MagneticSpaceGroupType::new(297, 282, "39.199", "39.5.282", 39, ConstructType::Type3),
+    MagneticSpaceGroupType::new(298, 283, "39.200", "39.6.283", 39, ConstructType::Type4),
+    MagneticSpaceGroupType::new(299, 167, "39.201", "25.13.167", 39, ConstructType::Type4),
+    MagneticSpaceGroupType::new(300, 317, "39.202", "42.9.317", 39, ConstructType::Type4),
+    MagneticSpaceGroupType::new(301, 291, "40.203", "40.1.291", 40, ConstructType::Type1),
+    MagneticSpaceGroupType::new(302, 292, "40.204", "40.2.292", 40, ConstructType::Type2),
+    MagneticSpaceGroupType::new(303, 293, "40.205", "40.3.293", 40, ConstructType::Type3),
+    MagneticSpaceGroupType::new(304, 294, "40.206", "40.4.294", 40, ConstructType::Type3),
+    MagneticSpaceGroupType::new(305, 295, "40.207", "40.5.295", 40, ConstructType::Type3),
+    MagneticSpaceGroupType::new(306, 273, "40.208", "38.9.273", 40, ConstructType::Type4),
+    MagneticSpaceGroupType::new(307, 192, "40.209", "28.8.192", 40, ConstructType::Type4),
+    MagneticSpaceGroupType::new(308, 318, "40.210", "42.10.318", 40, ConstructType::Type4),
+    MagneticSpaceGroupType::new(309, 300, "41.211", "41.1.300", 41, ConstructType::Type1),
+    MagneticSpaceGroupType::new(310, 301, "41.212", "41.2.301", 41, ConstructType::Type2),
+    MagneticSpaceGroupType::new(311, 302, "41.213", "41.3.302", 41, ConstructType::Type3),
+    MagneticSpaceGroupType::new(312, 303, "41.214", "41.4.303", 41, ConstructType::Type3),
+    MagneticSpaceGroupType::new(313, 304, "41.215", "41.5.304", 41, ConstructType::Type3),
+    MagneticSpaceGroupType::new(314, 286, "41.216", "39.9.286", 41, ConstructType::Type4),
+    MagneticSpaceGroupType::new(315, 197, "41.217", "28.13.197", 41, ConstructType::Type4),
+    MagneticSpaceGroupType::new(316, 319, "41.218", "42.11.319", 41, ConstructType::Type4),
+    MagneticSpaceGroupType::new(317, 309, "42.219", "42.1.309", 42, ConstructType::Type1),
+    MagneticSpaceGroupType::new(318, 310, "42.220", "42.2.310", 42, ConstructType::Type2),
+    MagneticSpaceGroupType::new(319, 311, "42.221", "42.3.311", 42, ConstructType::Type3),
+    MagneticSpaceGroupType::new(320, 312, "42.222", "42.4.312", 42, ConstructType::Type3),
+    MagneticSpaceGroupType::new(321, 163, "42.223", "25.9.163", 42, ConstructType::Type4),
+    MagneticSpaceGroupType::new(322, 320, "43.224", "43.1.320", 43, ConstructType::Type1),
+    MagneticSpaceGroupType::new(323, 321, "43.225", "43.2.321", 43, ConstructType::Type2),
+    MagneticSpaceGroupType::new(324, 322, "43.226", "43.3.322", 43, ConstructType::Type3),
+    MagneticSpaceGroupType::new(325, 323, "43.227", "43.4.323", 43, ConstructType::Type3),
+    MagneticSpaceGroupType::new(326, 235, "43.228", "34.5.235", 43, ConstructType::Type4),
+    MagneticSpaceGroupType::new(327, 324, "44.229", "44.1.324", 44, ConstructType::Type1),
+    MagneticSpaceGroupType::new(328, 325, "44.230", "44.2.325", 44, ConstructType::Type2),
+    MagneticSpaceGroupType::new(329, 326, "44.231", "44.3.326", 44, ConstructType::Type3),
+    MagneticSpaceGroupType::new(330, 327, "44.232", "44.4.327", 44, ConstructType::Type3),
+    MagneticSpaceGroupType::new(331, 242, "44.233", "35.7.242", 44, ConstructType::Type4),
+    MagneticSpaceGroupType::new(332, 272, "44.234", "38.8.272", 44, ConstructType::Type4),
+    MagneticSpaceGroupType::new(333, 331, "45.235", "45.1.331", 45, ConstructType::Type1),
+    MagneticSpaceGroupType::new(334, 332, "45.236", "45.2.332", 45, ConstructType::Type2),
+    MagneticSpaceGroupType::new(335, 333, "45.237", "45.3.333", 45, ConstructType::Type3),
+    MagneticSpaceGroupType::new(336, 334, "45.238", "45.4.334", 45, ConstructType::Type3),
+    MagneticSpaceGroupType::new(337, 248, "45.239", "35.13.248", 45, ConstructType::Type4),
+    MagneticSpaceGroupType::new(338, 290, "45.240", "39.13.290", 45, ConstructType::Type4),
+    MagneticSpaceGroupType::new(339, 338, "46.241", "46.1.338", 46, ConstructType::Type1),
+    MagneticSpaceGroupType::new(340, 339, "46.242", "46.2.339", 46, ConstructType::Type2),
+    MagneticSpaceGroupType::new(341, 340, "46.243", "46.3.340", 46, ConstructType::Type3),
+    MagneticSpaceGroupType::new(342, 341, "46.244", "46.4.341", 46, ConstructType::Type3),
+    MagneticSpaceGroupType::new(343, 342, "46.245", "46.5.342", 46, ConstructType::Type3),
+    MagneticSpaceGroupType::new(344, 247, "46.246", "35.12.247", 46, ConstructType::Type4),
+    MagneticSpaceGroupType::new(345, 277, "46.247", "38.13.277", 46, ConstructType::Type4),
+    MagneticSpaceGroupType::new(346, 285, "46.248", "39.8.285", 46, ConstructType::Type4),
+    MagneticSpaceGroupType::new(347, 347, "47.249", "47.1.347", 47, ConstructType::Type1),
+    MagneticSpaceGroupType::new(348, 348, "47.250", "47.2.348", 47, ConstructType::Type2),
+    MagneticSpaceGroupType::new(349, 349, "47.251", "47.3.349", 47, ConstructType::Type3),
+    MagneticSpaceGroupType::new(350, 350, "47.252", "47.4.350", 47, ConstructType::Type3),
+    MagneticSpaceGroupType::new(351, 351, "47.253", "47.5.351", 47, ConstructType::Type3),
+    MagneticSpaceGroupType::new(352, 352, "47.254", "47.6.352", 47, ConstructType::Type4),
+    MagneticSpaceGroupType::new(353, 553, "47.255", "65.9.553", 47, ConstructType::Type4),
+    MagneticSpaceGroupType::new(354, 626, "47.256", "71.6.626", 47, ConstructType::Type4),
+    MagneticSpaceGroupType::new(355, 358, "48.257", "48.1.358", 48, ConstructType::Type1),
+    MagneticSpaceGroupType::new(356, 359, "48.258", "48.2.359", 48, ConstructType::Type2),
+    MagneticSpaceGroupType::new(357, 360, "48.259", "48.3.360", 48, ConstructType::Type3),
+    MagneticSpaceGroupType::new(358, 361, "48.260", "48.4.361", 48, ConstructType::Type3),
+    MagneticSpaceGroupType::new(359, 362, "48.261", "48.5.362", 48, ConstructType::Type3),
+    MagneticSpaceGroupType::new(360, 386, "48.262", "50.10.386", 48, ConstructType::Type4),
+    MagneticSpaceGroupType::new(361, 576, "48.263", "66.13.576", 48, ConstructType::Type4),
+    MagneticSpaceGroupType::new(362, 629, "48.264", "71.9.629", 48, ConstructType::Type4),
+    MagneticSpaceGroupType::new(363, 364, "49.265", "49.1.364", 49, ConstructType::Type1),
+    MagneticSpaceGroupType::new(364, 365, "49.266", "49.2.365", 49, ConstructType::Type2),
+    MagneticSpaceGroupType::new(365, 366, "49.267", "49.3.366", 49, ConstructType::Type3),
+    MagneticSpaceGroupType::new(366, 367, "49.268", "49.4.367", 49, ConstructType::Type3),
+    MagneticSpaceGroupType::new(367, 368, "49.269", "49.5.368", 49, ConstructType::Type3),
+    MagneticSpaceGroupType::new(368, 369, "49.270", "49.6.369", 49, ConstructType::Type3),
+    MagneticSpaceGroupType::new(369, 370, "49.271", "49.7.370", 49, ConstructType::Type3),
+    MagneticSpaceGroupType::new(370, 371, "49.272", "49.8.371", 49, ConstructType::Type4),
+    MagneticSpaceGroupType::new(371, 356, "49.273", "47.10.356", 49, ConstructType::Type4),
+    MagneticSpaceGroupType::new(372, 585, "49.274", "67.9.585", 49, ConstructType::Type4),
+    MagneticSpaceGroupType::new(373, 571, "49.275", "66.8.571", 49, ConstructType::Type4),
+    MagneticSpaceGroupType::new(374, 637, "49.276", "72.8.637", 49, ConstructType::Type4),
+    MagneticSpaceGroupType::new(375, 377, "50.277", "50.1.377", 50, ConstructType::Type1),
+    MagneticSpaceGroupType::new(376, 378, "50.278", "50.2.378", 50, ConstructType::Type2),
+    MagneticSpaceGroupType::new(377, 379, "50.279", "50.3.379", 50, ConstructType::Type3),
+    MagneticSpaceGroupType::new(378, 380, "50.280", "50.4.380", 50, ConstructType::Type3),
+    MagneticSpaceGroupType::new(379, 381, "50.281", "50.5.381", 50, ConstructType::Type3),
+    MagneticSpaceGroupType::new(380, 382, "50.282", "50.6.382", 50, ConstructType::Type3),
+    MagneticSpaceGroupType::new(381, 383, "50.283", "50.7.383", 50, ConstructType::Type3),
+    MagneticSpaceGroupType::new(382, 375, "50.284", "49.12.375", 50, ConstructType::Type4),
+    MagneticSpaceGroupType::new(383, 384, "50.285", "50.8.384", 50, ConstructType::Type4),
+    MagneticSpaceGroupType::new(384, 601, "50.286", "68.8.601", 50, ConstructType::Type4),
+    MagneticSpaceGroupType::new(385, 561, "50.287", "65.17.561", 50, ConstructType::Type4),
+    MagneticSpaceGroupType::new(386, 642, "50.288", "72.13.642", 50, ConstructType::Type4),
+    MagneticSpaceGroupType::new(387, 387, "51.289", "51.1.387", 51, ConstructType::Type1),
+    MagneticSpaceGroupType::new(388, 388, "51.290", "51.2.388", 51, ConstructType::Type2),
+    MagneticSpaceGroupType::new(389, 389, "51.291", "51.3.389", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(390, 390, "51.292", "51.4.390", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(391, 391, "51.293", "51.5.391", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(392, 392, "51.294", "51.6.392", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(393, 393, "51.295", "51.7.393", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(394, 394, "51.296", "51.8.394", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(395, 395, "51.297", "51.9.395", 51, ConstructType::Type3),
+    MagneticSpaceGroupType::new(396, 355, "51.298", "47.9.355", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(397, 396, "51.299", "51.10.396", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(398, 397, "51.300", "51.11.397", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(399, 520, "51.301", "63.10.520", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(400, 557, "51.302", "65.13.557", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(401, 590, "51.303", "67.14.590", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(402, 657, "51.304", "74.8.657", 51, ConstructType::Type4),
+    MagneticSpaceGroupType::new(403, 406, "52.305", "52.1.406", 52, ConstructType::Type1),
+    MagneticSpaceGroupType::new(404, 407, "52.306", "52.2.407", 52, ConstructType::Type2),
+    MagneticSpaceGroupType::new(405, 408, "52.307", "52.3.408", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(406, 409, "52.308", "52.4.409", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(407, 410, "52.309", "52.5.410", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(408, 411, "52.310", "52.6.411", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(409, 412, "52.311", "52.7.412", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(410, 413, "52.312", "52.8.413", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(411, 414, "52.313", "52.9.414", 52, ConstructType::Type3),
+    MagneticSpaceGroupType::new(412, 427, "52.314", "53.13.427", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(413, 385, "52.315", "50.9.385", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(414, 440, "52.316", "54.13.440", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(415, 575, "52.317", "66.12.575", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(416, 527, "52.318", "63.17.527", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(417, 604, "52.319", "68.11.604", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(418, 658, "52.320", "74.9.658", 52, ConstructType::Type4),
+    MagneticSpaceGroupType::new(419, 415, "53.321", "53.1.415", 53, ConstructType::Type1),
+    MagneticSpaceGroupType::new(420, 416, "53.322", "53.2.416", 53, ConstructType::Type2),
+    MagneticSpaceGroupType::new(421, 417, "53.323", "53.3.417", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(422, 418, "53.324", "53.4.418", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(423, 419, "53.325", "53.5.419", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(424, 420, "53.326", "53.6.420", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(425, 421, "53.327", "53.7.421", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(426, 422, "53.328", "53.8.422", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(427, 423, "53.329", "53.9.423", 53, ConstructType::Type3),
+    MagneticSpaceGroupType::new(428, 401, "53.330", "51.15.401", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(429, 424, "53.331", "53.10.424", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(430, 374, "53.332", "49.11.374", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(431, 572, "53.333", "66.9.572", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(432, 560, "53.334", "65.16.560", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(433, 542, "53.335", "64.15.542", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(434, 659, "53.336", "74.10.659", 53, ConstructType::Type4),
+    MagneticSpaceGroupType::new(435, 428, "54.337", "54.1.428", 54, ConstructType::Type1),
+    MagneticSpaceGroupType::new(436, 429, "54.338", "54.2.429", 54, ConstructType::Type2),
+    MagneticSpaceGroupType::new(437, 430, "54.339", "54.3.430", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(438, 431, "54.340", "54.4.431", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(439, 432, "54.341", "54.5.432", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(440, 433, "54.342", "54.6.433", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(441, 434, "54.343", "54.7.434", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(442, 435, "54.344", "54.8.435", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(443, 436, "54.345", "54.9.436", 54, ConstructType::Type3),
+    MagneticSpaceGroupType::new(444, 373, "54.346", "49.10.373", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(445, 437, "54.347", "54.10.437", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(446, 404, "54.348", "51.18.404", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(447, 538, "54.349", "64.11.538", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(448, 589, "54.350", "67.13.589", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(449, 602, "54.351", "68.9.602", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(450, 649, "54.352", "73.7.649", 54, ConstructType::Type4),
+    MagneticSpaceGroupType::new(451, 441, "55.353", "55.1.441", 55, ConstructType::Type1),
+    MagneticSpaceGroupType::new(452, 442, "55.354", "55.2.442", 55, ConstructType::Type2),
+    MagneticSpaceGroupType::new(453, 443, "55.355", "55.3.443", 55, ConstructType::Type3),
+    MagneticSpaceGroupType::new(454, 444, "55.356", "55.4.444", 55, ConstructType::Type3),
+    MagneticSpaceGroupType::new(455, 445, "55.357", "55.5.445", 55, ConstructType::Type3),
+    MagneticSpaceGroupType::new(456, 446, "55.358", "55.6.446", 55, ConstructType::Type3),
+    MagneticSpaceGroupType::new(457, 447, "55.359", "55.7.447", 55, ConstructType::Type3),
+    MagneticSpaceGroupType::new(458, 402, "55.360", "51.16.402", 55, ConstructType::Type4),
+    MagneticSpaceGroupType::new(459, 448, "55.361", "55.8.448", 55, ConstructType::Type4),
+    MagneticSpaceGroupType::new(460, 537, "55.362", "64.10.537", 55, ConstructType::Type4),
+    MagneticSpaceGroupType::new(461, 559, "55.363", "65.15.559", 55, ConstructType::Type4),
+    MagneticSpaceGroupType::new(462, 640, "55.364", "72.11.640", 55, ConstructType::Type4),
+    MagneticSpaceGroupType::new(463, 451, "56.365", "56.1.451", 56, ConstructType::Type1),
+    MagneticSpaceGroupType::new(464, 452, "56.366", "56.2.452", 56, ConstructType::Type2),
+    MagneticSpaceGroupType::new(465, 453, "56.367", "56.3.453", 56, ConstructType::Type3),
+    MagneticSpaceGroupType::new(466, 454, "56.368", "56.4.454", 56, ConstructType::Type3),
+    MagneticSpaceGroupType::new(467, 455, "56.369", "56.5.455", 56, ConstructType::Type3),
+    MagneticSpaceGroupType::new(468, 456, "56.370", "56.6.456", 56, ConstructType::Type3),
+    MagneticSpaceGroupType::new(469, 457, "56.371", "56.7.457", 56, ConstructType::Type3),
+    MagneticSpaceGroupType::new(470, 439, "56.372", "54.12.439", 56, ConstructType::Type4),
+    MagneticSpaceGroupType::new(471, 487, "56.373", "59.10.487", 56, ConstructType::Type4),
+    MagneticSpaceGroupType::new(472, 541, "56.374", "64.14.541", 56, ConstructType::Type4),
+    MagneticSpaceGroupType::new(473, 573, "56.375", "66.10.573", 56, ConstructType::Type4),
+    MagneticSpaceGroupType::new(474, 639, "56.376", "72.10.639", 56, ConstructType::Type4),
+    MagneticSpaceGroupType::new(475, 458, "57.377", "57.1.458", 57, ConstructType::Type1),
+    MagneticSpaceGroupType::new(476, 459, "57.378", "57.2.459", 57, ConstructType::Type2),
+    MagneticSpaceGroupType::new(477, 460, "57.379", "57.3.460", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(478, 461, "57.380", "57.4.461", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(479, 462, "57.381", "57.5.462", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(480, 463, "57.382", "57.6.463", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(481, 464, "57.383", "57.7.464", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(482, 465, "57.384", "57.8.465", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(483, 466, "57.385", "57.9.466", 57, ConstructType::Type3),
+    MagneticSpaceGroupType::new(484, 467, "57.386", "57.10.467", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(485, 403, "57.387", "51.17.403", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(486, 399, "57.388", "51.13.399", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(487, 591, "57.389", "67.15.591", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(488, 540, "57.390", "64.13.540", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(489, 521, "57.391", "63.11.521", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(490, 638, "57.392", "72.9.638", 57, ConstructType::Type4),
+    MagneticSpaceGroupType::new(491, 471, "58.393", "58.1.471", 58, ConstructType::Type1),
+    MagneticSpaceGroupType::new(492, 472, "58.394", "58.2.472", 58, ConstructType::Type2),
+    MagneticSpaceGroupType::new(493, 473, "58.395", "58.3.473", 58, ConstructType::Type3),
+    MagneticSpaceGroupType::new(494, 474, "58.396", "58.4.474", 58, ConstructType::Type3),
+    MagneticSpaceGroupType::new(495, 475, "58.397", "58.5.475", 58, ConstructType::Type3),
+    MagneticSpaceGroupType::new(496, 476, "58.398", "58.6.476", 58, ConstructType::Type3),
+    MagneticSpaceGroupType::new(497, 477, "58.399", "58.7.477", 58, ConstructType::Type3),
+    MagneticSpaceGroupType::new(498, 426, "58.400", "53.12.426", 58, ConstructType::Type4),
+    MagneticSpaceGroupType::new(499, 450, "58.401", "55.10.450", 58, ConstructType::Type4),
+    MagneticSpaceGroupType::new(500, 525, "58.402", "63.15.525", 58, ConstructType::Type4),
+    MagneticSpaceGroupType::new(501, 574, "58.403", "66.11.574", 58, ConstructType::Type4),
+    MagneticSpaceGroupType::new(502, 628, "58.404", "71.8.628", 58, ConstructType::Type4),
+    MagneticSpaceGroupType::new(503, 478, "59.405", "59.1.478", 59, ConstructType::Type1),
+    MagneticSpaceGroupType::new(504, 479, "59.406", "59.2.479", 59, ConstructType::Type2),
+    MagneticSpaceGroupType::new(505, 480, "59.407", "59.3.480", 59, ConstructType::Type3),
+    MagneticSpaceGroupType::new(506, 481, "59.408", "59.4.481", 59, ConstructType::Type3),
+    MagneticSpaceGroupType::new(507, 482, "59.409", "59.5.482", 59, ConstructType::Type3),
+    MagneticSpaceGroupType::new(508, 483, "59.410", "59.6.483", 59, ConstructType::Type3),
+    MagneticSpaceGroupType::new(509, 484, "59.411", "59.7.484", 59, ConstructType::Type3),
+    MagneticSpaceGroupType::new(510, 400, "59.412", "51.14.400", 59, ConstructType::Type4),
+    MagneticSpaceGroupType::new(511, 485, "59.413", "59.8.485", 59, ConstructType::Type4),
+    MagneticSpaceGroupType::new(512, 522, "59.414", "63.12.522", 59, ConstructType::Type4),
+    MagneticSpaceGroupType::new(513, 558, "59.415", "65.14.558", 59, ConstructType::Type4),
+    MagneticSpaceGroupType::new(514, 627, "59.416", "71.7.627", 59, ConstructType::Type4),
+    MagneticSpaceGroupType::new(515, 488, "60.417", "60.1.488", 60, ConstructType::Type1),
+    MagneticSpaceGroupType::new(516, 489, "60.418", "60.2.489", 60, ConstructType::Type2),
+    MagneticSpaceGroupType::new(517, 490, "60.419", "60.3.490", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(518, 491, "60.420", "60.4.491", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(519, 492, "60.421", "60.5.492", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(520, 493, "60.422", "60.6.493", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(521, 494, "60.423", "60.7.494", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(522, 495, "60.424", "60.8.495", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(523, 496, "60.425", "60.9.496", 60, ConstructType::Type3),
+    MagneticSpaceGroupType::new(524, 438, "60.426", "54.11.438", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(525, 470, "60.427", "57.13.470", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(526, 425, "60.428", "53.11.425", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(527, 544, "60.429", "64.17.544", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(528, 603, "60.430", "68.10.603", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(529, 526, "60.431", "63.16.526", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(530, 641, "60.432", "72.12.641", 60, ConstructType::Type4),
+    MagneticSpaceGroupType::new(531, 497, "61.433", "61.1.497", 61, ConstructType::Type1),
+    MagneticSpaceGroupType::new(532, 498, "61.434", "61.2.498", 61, ConstructType::Type2),
+    MagneticSpaceGroupType::new(533, 499, "61.435", "61.3.499", 61, ConstructType::Type3),
+    MagneticSpaceGroupType::new(534, 500, "61.436", "61.4.500", 61, ConstructType::Type3),
+    MagneticSpaceGroupType::new(535, 501, "61.437", "61.5.501", 61, ConstructType::Type3),
+    MagneticSpaceGroupType::new(536, 469, "61.438", "57.12.469", 61, ConstructType::Type4),
+    MagneticSpaceGroupType::new(537, 543, "61.439", "64.16.543", 61, ConstructType::Type4),
+    MagneticSpaceGroupType::new(538, 648, "61.440", "73.6.648", 61, ConstructType::Type4),
+    MagneticSpaceGroupType::new(539, 502, "62.441", "62.1.502", 62, ConstructType::Type1),
+    MagneticSpaceGroupType::new(540, 503, "62.442", "62.2.503", 62, ConstructType::Type2),
+    MagneticSpaceGroupType::new(541, 504, "62.443", "62.3.504", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(542, 505, "62.444", "62.4.505", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(543, 506, "62.445", "62.5.506", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(544, 507, "62.446", "62.6.507", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(545, 508, "62.447", "62.7.508", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(546, 509, "62.448", "62.8.509", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(547, 510, "62.449", "62.9.510", 62, ConstructType::Type3),
+    MagneticSpaceGroupType::new(548, 486, "62.450", "59.9.486", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(549, 449, "62.451", "55.9.449", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(550, 468, "62.452", "57.11.468", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(551, 523, "62.453", "63.13.523", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(552, 524, "62.454", "63.14.524", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(553, 539, "62.455", "64.12.539", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(554, 660, "62.456", "74.11.660", 62, ConstructType::Type4),
+    MagneticSpaceGroupType::new(555, 511, "63.457", "63.1.511", 63, ConstructType::Type1),
+    MagneticSpaceGroupType::new(556, 512, "63.458", "63.2.512", 63, ConstructType::Type2),
+    MagneticSpaceGroupType::new(557, 513, "63.459", "63.3.513", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(558, 514, "63.460", "63.4.514", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(559, 515, "63.461", "63.5.515", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(560, 516, "63.462", "63.6.516", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(561, 517, "63.463", "63.7.517", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(562, 518, "63.464", "63.8.518", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(563, 519, "63.465", "63.9.519", 63, ConstructType::Type3),
+    MagneticSpaceGroupType::new(564, 556, "63.466", "65.12.556", 63, ConstructType::Type4),
+    MagneticSpaceGroupType::new(565, 398, "63.467", "51.12.398", 63, ConstructType::Type4),
+    MagneticSpaceGroupType::new(566, 611, "63.468", "69.7.611", 63, ConstructType::Type4),
+    MagneticSpaceGroupType::new(567, 528, "64.469", "64.1.528", 64, ConstructType::Type1),
+    MagneticSpaceGroupType::new(568, 529, "64.470", "64.2.529", 64, ConstructType::Type2),
+    MagneticSpaceGroupType::new(569, 530, "64.471", "64.3.530", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(570, 531, "64.472", "64.4.531", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(571, 532, "64.473", "64.5.532", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(572, 533, "64.474", "64.6.533", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(573, 534, "64.475", "64.7.534", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(574, 535, "64.476", "64.8.535", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(575, 536, "64.477", "64.9.536", 64, ConstructType::Type3),
+    MagneticSpaceGroupType::new(576, 587, "64.478", "67.11.587", 64, ConstructType::Type4),
+    MagneticSpaceGroupType::new(577, 405, "64.479", "51.19.405", 64, ConstructType::Type4),
+    MagneticSpaceGroupType::new(578, 614, "64.480", "69.10.614", 64, ConstructType::Type4),
+    MagneticSpaceGroupType::new(579, 545, "65.481", "65.1.545", 65, ConstructType::Type1),
+    MagneticSpaceGroupType::new(580, 546, "65.482", "65.2.546", 65, ConstructType::Type2),
+    MagneticSpaceGroupType::new(581, 547, "65.483", "65.3.547", 65, ConstructType::Type3),
+    MagneticSpaceGroupType::new(582, 548, "65.484", "65.4.548", 65, ConstructType::Type3),
+    MagneticSpaceGroupType::new(583, 549, "65.485", "65.5.549", 65, ConstructType::Type3),
+    MagneticSpaceGroupType::new(584, 550, "65.486", "65.6.550", 65, ConstructType::Type3),
+    MagneticSpaceGroupType::new(585, 551, "65.487", "65.7.551", 65, ConstructType::Type3),
+    MagneticSpaceGroupType::new(586, 552, "65.488", "65.8.552", 65, ConstructType::Type4),
+    MagneticSpaceGroupType::new(587, 353, "65.489", "47.7.353", 65, ConstructType::Type4),
+    MagneticSpaceGroupType::new(588, 610, "65.490", "69.6.610", 65, ConstructType::Type4),
+    MagneticSpaceGroupType::new(589, 564, "66.491", "66.1.564", 66, ConstructType::Type1),
+    MagneticSpaceGroupType::new(590, 565, "66.492", "66.2.565", 66, ConstructType::Type2),
+    MagneticSpaceGroupType::new(591, 566, "66.493", "66.3.566", 66, ConstructType::Type3),
+    MagneticSpaceGroupType::new(592, 567, "66.494", "66.4.567", 66, ConstructType::Type3),
+    MagneticSpaceGroupType::new(593, 568, "66.495", "66.5.568", 66, ConstructType::Type3),
+    MagneticSpaceGroupType::new(594, 569, "66.496", "66.6.569", 66, ConstructType::Type3),
+    MagneticSpaceGroupType::new(595, 570, "66.497", "66.7.570", 66, ConstructType::Type3),
+    MagneticSpaceGroupType::new(596, 555, "66.498", "65.11.555", 66, ConstructType::Type4),
+    MagneticSpaceGroupType::new(597, 372, "66.499", "49.9.372", 66, ConstructType::Type4),
+    MagneticSpaceGroupType::new(598, 613, "66.500", "69.9.613", 66, ConstructType::Type4),
+    MagneticSpaceGroupType::new(599, 577, "67.501", "67.1.577", 67, ConstructType::Type1),
+    MagneticSpaceGroupType::new(600, 578, "67.502", "67.2.578", 67, ConstructType::Type2),
+    MagneticSpaceGroupType::new(601, 579, "67.503", "67.3.579", 67, ConstructType::Type3),
+    MagneticSpaceGroupType::new(602, 580, "67.504", "67.4.580", 67, ConstructType::Type3),
+    MagneticSpaceGroupType::new(603, 581, "67.505", "67.5.581", 67, ConstructType::Type3),
+    MagneticSpaceGroupType::new(604, 582, "67.506", "67.6.582", 67, ConstructType::Type3),
+    MagneticSpaceGroupType::new(605, 583, "67.507", "67.7.583", 67, ConstructType::Type3),
+    MagneticSpaceGroupType::new(606, 584, "67.508", "67.8.584", 67, ConstructType::Type4),
+    MagneticSpaceGroupType::new(607, 357, "67.509", "47.11.357", 67, ConstructType::Type4),
+    MagneticSpaceGroupType::new(608, 612, "67.510", "69.8.612", 67, ConstructType::Type4),
+    MagneticSpaceGroupType::new(609, 594, "68.511", "68.1.594", 68, ConstructType::Type1),
+    MagneticSpaceGroupType::new(610, 595, "68.512", "68.2.595", 68, ConstructType::Type2),
+    MagneticSpaceGroupType::new(611, 596, "68.513", "68.3.596", 68, ConstructType::Type3),
+    MagneticSpaceGroupType::new(612, 597, "68.514", "68.4.597", 68, ConstructType::Type3),
+    MagneticSpaceGroupType::new(613, 598, "68.515", "68.5.598", 68, ConstructType::Type3),
+    MagneticSpaceGroupType::new(614, 599, "68.516", "68.6.599", 68, ConstructType::Type3),
+    MagneticSpaceGroupType::new(615, 600, "68.517", "68.7.600", 68, ConstructType::Type3),
+    MagneticSpaceGroupType::new(616, 588, "68.518", "67.12.588", 68, ConstructType::Type4),
+    MagneticSpaceGroupType::new(617, 376, "68.519", "49.13.376", 68, ConstructType::Type4),
+    MagneticSpaceGroupType::new(618, 615, "68.520", "69.11.615", 68, ConstructType::Type4),
+    MagneticSpaceGroupType::new(619, 605, "69.521", "69.1.605", 69, ConstructType::Type1),
+    MagneticSpaceGroupType::new(620, 606, "69.522", "69.2.606", 69, ConstructType::Type2),
+    MagneticSpaceGroupType::new(621, 607, "69.523", "69.3.607", 69, ConstructType::Type3),
+    MagneticSpaceGroupType::new(622, 608, "69.524", "69.4.608", 69, ConstructType::Type3),
+    MagneticSpaceGroupType::new(623, 609, "69.525", "69.5.609", 69, ConstructType::Type3),
+    MagneticSpaceGroupType::new(624, 354, "69.526", "47.8.354", 69, ConstructType::Type4),
+    MagneticSpaceGroupType::new(625, 616, "70.527", "70.1.616", 70, ConstructType::Type1),
+    MagneticSpaceGroupType::new(626, 617, "70.528", "70.2.617", 70, ConstructType::Type2),
+    MagneticSpaceGroupType::new(627, 618, "70.529", "70.3.618", 70, ConstructType::Type3),
+    MagneticSpaceGroupType::new(628, 619, "70.530", "70.4.619", 70, ConstructType::Type3),
+    MagneticSpaceGroupType::new(629, 620, "70.531", "70.5.620", 70, ConstructType::Type3),
+    MagneticSpaceGroupType::new(630, 363, "70.532", "48.6.363", 70, ConstructType::Type4),
+    MagneticSpaceGroupType::new(631, 621, "71.533", "71.1.621", 71, ConstructType::Type1),
+    MagneticSpaceGroupType::new(632, 622, "71.534", "71.2.622", 71, ConstructType::Type2),
+    MagneticSpaceGroupType::new(633, 623, "71.535", "71.3.623", 71, ConstructType::Type3),
+    MagneticSpaceGroupType::new(634, 624, "71.536", "71.4.624", 71, ConstructType::Type3),
+    MagneticSpaceGroupType::new(635, 625, "71.537", "71.5.625", 71, ConstructType::Type3),
+    MagneticSpaceGroupType::new(636, 554, "71.538", "65.10.554", 71, ConstructType::Type4),
+    MagneticSpaceGroupType::new(637, 630, "72.539", "72.1.630", 72, ConstructType::Type1),
+    MagneticSpaceGroupType::new(638, 631, "72.540", "72.2.631", 72, ConstructType::Type2),
+    MagneticSpaceGroupType::new(639, 632, "72.541", "72.3.632", 72, ConstructType::Type3),
+    MagneticSpaceGroupType::new(640, 633, "72.542", "72.4.633", 72, ConstructType::Type3),
+    MagneticSpaceGroupType::new(641, 634, "72.543", "72.5.634", 72, ConstructType::Type3),
+    MagneticSpaceGroupType::new(642, 635, "72.544", "72.6.635", 72, ConstructType::Type3),
+    MagneticSpaceGroupType::new(643, 636, "72.545", "72.7.636", 72, ConstructType::Type3),
+    MagneticSpaceGroupType::new(644, 563, "72.546", "65.19.563", 72, ConstructType::Type4),
+    MagneticSpaceGroupType::new(645, 586, "72.547", "67.10.586", 72, ConstructType::Type4),
+    MagneticSpaceGroupType::new(646, 643, "73.548", "73.1.643", 73, ConstructType::Type1),
+    MagneticSpaceGroupType::new(647, 644, "73.549", "73.2.644", 73, ConstructType::Type2),
+    MagneticSpaceGroupType::new(648, 645, "73.550", "73.3.645", 73, ConstructType::Type3),
+    MagneticSpaceGroupType::new(649, 646, "73.551", "73.4.646", 73, ConstructType::Type3),
+    MagneticSpaceGroupType::new(650, 647, "73.552", "73.5.647", 73, ConstructType::Type3),
+    MagneticSpaceGroupType::new(651, 593, "73.553", "67.17.593", 73, ConstructType::Type4),
+    MagneticSpaceGroupType::new(652, 650, "74.554", "74.1.650", 74, ConstructType::Type1),
+    MagneticSpaceGroupType::new(653, 651, "74.555", "74.2.651", 74, ConstructType::Type2),
+    MagneticSpaceGroupType::new(654, 652, "74.556", "74.3.652", 74, ConstructType::Type3),
+    MagneticSpaceGroupType::new(655, 653, "74.557", "74.4.653", 74, ConstructType::Type3),
+    MagneticSpaceGroupType::new(656, 654, "74.558", "74.5.654", 74, ConstructType::Type3),
+    MagneticSpaceGroupType::new(657, 655, "74.559", "74.6.655", 74, ConstructType::Type3),
+    MagneticSpaceGroupType::new(658, 656, "74.560", "74.7.656", 74, ConstructType::Type3),
+    MagneticSpaceGroupType::new(659, 592, "74.561", "67.16.592", 74, ConstructType::Type4),
+    MagneticSpaceGroupType::new(660, 562, "74.562", "65.18.562", 74, ConstructType::Type4),
+    MagneticSpaceGroupType::new(661, 661, "75.1", "75.1.661", 75, ConstructType::Type1),
+    MagneticSpaceGroupType::new(662, 662, "75.2", "75.2.662", 75, ConstructType::Type2),
+    MagneticSpaceGroupType::new(663, 663, "75.3", "75.3.663", 75, ConstructType::Type3),
+    MagneticSpaceGroupType::new(664, 664, "75.4", "75.4.664", 75, ConstructType::Type4),
+    MagneticSpaceGroupType::new(665, 665, "75.5", "75.5.665", 75, ConstructType::Type4),
+    MagneticSpaceGroupType::new(666, 686, "75.6", "79.4.686", 75, ConstructType::Type4),
+    MagneticSpaceGroupType::new(667, 668, "76.7", "76.1.668", 76, ConstructType::Type1),
+    MagneticSpaceGroupType::new(668, 669, "76.8", "76.2.669", 76, ConstructType::Type2),
+    MagneticSpaceGroupType::new(669, 670, "76.9", "76.3.670", 76, ConstructType::Type3),
+    MagneticSpaceGroupType::new(670, 675, "76.10", "77.4.675", 76, ConstructType::Type4),
+    MagneticSpaceGroupType::new(671, 671, "76.11", "76.4.671", 76, ConstructType::Type4),
+    MagneticSpaceGroupType::new(672, 691, "76.12", "80.4.691", 76, ConstructType::Type4),
+    MagneticSpaceGroupType::new(673, 672, "77.13", "77.1.672", 77, ConstructType::Type1),
+    MagneticSpaceGroupType::new(674, 673, "77.14", "77.2.673", 77, ConstructType::Type2),
+    MagneticSpaceGroupType::new(675, 674, "77.15", "77.3.674", 77, ConstructType::Type3),
+    MagneticSpaceGroupType::new(676, 667, "77.16", "75.7.667", 77, ConstructType::Type4),
+    MagneticSpaceGroupType::new(677, 676, "77.17", "77.5.676", 77, ConstructType::Type4),
+    MagneticSpaceGroupType::new(678, 687, "77.18", "79.5.687", 77, ConstructType::Type4),
+    MagneticSpaceGroupType::new(679, 679, "78.19", "78.1.679", 78, ConstructType::Type1),
+    MagneticSpaceGroupType::new(680, 680, "78.20", "78.2.680", 78, ConstructType::Type2),
+    MagneticSpaceGroupType::new(681, 681, "78.21", "78.3.681", 78, ConstructType::Type3),
+    MagneticSpaceGroupType::new(682, 678, "78.22", "77.7.678", 78, ConstructType::Type4),
+    MagneticSpaceGroupType::new(683, 682, "78.23", "78.4.682", 78, ConstructType::Type4),
+    MagneticSpaceGroupType::new(684, 692, "78.24", "80.5.692", 78, ConstructType::Type4),
+    MagneticSpaceGroupType::new(685, 683, "79.25", "79.1.683", 79, ConstructType::Type1),
+    MagneticSpaceGroupType::new(686, 684, "79.26", "79.2.684", 79, ConstructType::Type2),
+    MagneticSpaceGroupType::new(687, 685, "79.27", "79.3.685", 79, ConstructType::Type3),
+    MagneticSpaceGroupType::new(688, 666, "79.28", "75.6.666", 79, ConstructType::Type4),
+    MagneticSpaceGroupType::new(689, 688, "80.29", "80.1.688", 80, ConstructType::Type1),
+    MagneticSpaceGroupType::new(690, 689, "80.30", "80.2.689", 80, ConstructType::Type2),
+    MagneticSpaceGroupType::new(691, 690, "80.31", "80.3.690", 80, ConstructType::Type3),
+    MagneticSpaceGroupType::new(692, 677, "80.32", "77.6.677", 80, ConstructType::Type4),
+    MagneticSpaceGroupType::new(693, 693, "81.33", "81.1.693", 81, ConstructType::Type1),
+    MagneticSpaceGroupType::new(694, 694, "81.34", "81.2.694", 81, ConstructType::Type2),
+    MagneticSpaceGroupType::new(695, 695, "81.35", "81.3.695", 81, ConstructType::Type3),
+    MagneticSpaceGroupType::new(696, 696, "81.36", "81.4.696", 81, ConstructType::Type4),
+    MagneticSpaceGroupType::new(697, 697, "81.37", "81.5.697", 81, ConstructType::Type4),
+    MagneticSpaceGroupType::new(698, 702, "81.38", "82.4.702", 81, ConstructType::Type4),
+    MagneticSpaceGroupType::new(699, 699, "82.39", "82.1.699", 82, ConstructType::Type1),
+    MagneticSpaceGroupType::new(700, 700, "82.40", "82.2.700", 82, ConstructType::Type2),
+    MagneticSpaceGroupType::new(701, 701, "82.41", "82.3.701", 82, ConstructType::Type3),
+    MagneticSpaceGroupType::new(702, 698, "82.42", "81.6.698", 82, ConstructType::Type4),
+    MagneticSpaceGroupType::new(703, 703, "83.43", "83.1.703", 83, ConstructType::Type1),
+    MagneticSpaceGroupType::new(704, 704, "83.44", "83.2.704", 83, ConstructType::Type2),
+    MagneticSpaceGroupType::new(705, 705, "83.45", "83.3.705", 83, ConstructType::Type3),
+    MagneticSpaceGroupType::new(706, 706, "83.46", "83.4.706", 83, ConstructType::Type3),
+    MagneticSpaceGroupType::new(707, 707, "83.47", "83.5.707", 83, ConstructType::Type3),
+    MagneticSpaceGroupType::new(708, 708, "83.48", "83.6.708", 83, ConstructType::Type4),
+    MagneticSpaceGroupType::new(709, 709, "83.49", "83.7.709", 83, ConstructType::Type4),
+    MagneticSpaceGroupType::new(710, 738, "83.50", "87.6.738", 83, ConstructType::Type4),
+    MagneticSpaceGroupType::new(711, 713, "84.51", "84.1.713", 84, ConstructType::Type1),
+    MagneticSpaceGroupType::new(712, 714, "84.52", "84.2.714", 84, ConstructType::Type2),
+    MagneticSpaceGroupType::new(713, 715, "84.53", "84.3.715", 84, ConstructType::Type3),
+    MagneticSpaceGroupType::new(714, 716, "84.54", "84.4.716", 84, ConstructType::Type3),
+    MagneticSpaceGroupType::new(715, 717, "84.55", "84.5.717", 84, ConstructType::Type3),
+    MagneticSpaceGroupType::new(716, 711, "84.56", "83.9.711", 84, ConstructType::Type4),
+    MagneticSpaceGroupType::new(717, 718, "84.57", "84.6.718", 84, ConstructType::Type4),
+    MagneticSpaceGroupType::new(718, 739, "84.58", "87.7.739", 84, ConstructType::Type4),
+    MagneticSpaceGroupType::new(719, 720, "85.59", "85.1.720", 85, ConstructType::Type1),
+    MagneticSpaceGroupType::new(720, 721, "85.60", "85.2.721", 85, ConstructType::Type2),
+    MagneticSpaceGroupType::new(721, 722, "85.61", "85.3.722", 85, ConstructType::Type3),
+    MagneticSpaceGroupType::new(722, 723, "85.62", "85.4.723", 85, ConstructType::Type3),
+    MagneticSpaceGroupType::new(723, 724, "85.63", "85.5.724", 85, ConstructType::Type3),
+    MagneticSpaceGroupType::new(724, 725, "85.64", "85.6.725", 85, ConstructType::Type4),
+    MagneticSpaceGroupType::new(725, 712, "85.65", "83.10.712", 85, ConstructType::Type4),
+    MagneticSpaceGroupType::new(726, 740, "85.66", "87.8.740", 85, ConstructType::Type4),
+    MagneticSpaceGroupType::new(727, 727, "86.67", "86.1.727", 86, ConstructType::Type1),
+    MagneticSpaceGroupType::new(728, 728, "86.68", "86.2.728", 86, ConstructType::Type2),
+    MagneticSpaceGroupType::new(729, 729, "86.69", "86.3.729", 86, ConstructType::Type3),
+    MagneticSpaceGroupType::new(730, 730, "86.70", "86.4.730", 86, ConstructType::Type3),
+    MagneticSpaceGroupType::new(731, 731, "86.71", "86.5.731", 86, ConstructType::Type3),
+    MagneticSpaceGroupType::new(732, 726, "86.72", "85.7.726", 86, ConstructType::Type4),
+    MagneticSpaceGroupType::new(733, 719, "86.73", "84.7.719", 86, ConstructType::Type4),
+    MagneticSpaceGroupType::new(734, 741, "86.74", "87.9.741", 86, ConstructType::Type4),
+    MagneticSpaceGroupType::new(735, 733, "87.75", "87.1.733", 87, ConstructType::Type1),
+    MagneticSpaceGroupType::new(736, 734, "87.76", "87.2.734", 87, ConstructType::Type2),
+    MagneticSpaceGroupType::new(737, 735, "87.77", "87.3.735", 87, ConstructType::Type3),
+    MagneticSpaceGroupType::new(738, 736, "87.78", "87.4.736", 87, ConstructType::Type3),
+    MagneticSpaceGroupType::new(739, 737, "87.79", "87.5.737", 87, ConstructType::Type3),
+    MagneticSpaceGroupType::new(740, 710, "87.80", "83.8.710", 87, ConstructType::Type4),
+    MagneticSpaceGroupType::new(741, 742, "88.81", "88.1.742", 88, ConstructType::Type1),
+    MagneticSpaceGroupType::new(742, 743, "88.82", "88.2.743", 88, ConstructType::Type2),
+    MagneticSpaceGroupType::new(743, 744, "88.83", "88.3.744", 88, ConstructType::Type3),
+    MagneticSpaceGroupType::new(744, 745, "88.84", "88.4.745", 88, ConstructType::Type3),
+    MagneticSpaceGroupType::new(745, 746, "88.85", "88.5.746", 88, ConstructType::Type3),
+    MagneticSpaceGroupType::new(746, 732, "88.86", "86.6.732", 88, ConstructType::Type4),
+    MagneticSpaceGroupType::new(747, 747, "89.87", "89.1.747", 89, ConstructType::Type1),
+    MagneticSpaceGroupType::new(748, 748, "89.88", "89.2.748", 89, ConstructType::Type2),
+    MagneticSpaceGroupType::new(749, 749, "89.89", "89.3.749", 89, ConstructType::Type3),
+    MagneticSpaceGroupType::new(750, 750, "89.90", "89.4.750", 89, ConstructType::Type3),
+    MagneticSpaceGroupType::new(751, 751, "89.91", "89.5.751", 89, ConstructType::Type3),
+    MagneticSpaceGroupType::new(752, 752, "89.92", "89.6.752", 89, ConstructType::Type4),
+    MagneticSpaceGroupType::new(753, 753, "89.93", "89.7.753", 89, ConstructType::Type4),
+    MagneticSpaceGroupType::new(754, 810, "89.94", "97.6.810", 89, ConstructType::Type4),
+    MagneticSpaceGroupType::new(755, 757, "90.95", "90.1.757", 90, ConstructType::Type1),
+    MagneticSpaceGroupType::new(756, 758, "90.96", "90.2.758", 90, ConstructType::Type2),
+    MagneticSpaceGroupType::new(757, 759, "90.97", "90.3.759", 90, ConstructType::Type3),
+    MagneticSpaceGroupType::new(758, 760, "90.98", "90.4.760", 90, ConstructType::Type3),
+    MagneticSpaceGroupType::new(759, 761, "90.99", "90.5.761", 90, ConstructType::Type3),
+    MagneticSpaceGroupType::new(760, 762, "90.100", "90.6.762", 90, ConstructType::Type4),
+    MagneticSpaceGroupType::new(761, 756, "90.101", "89.10.756", 90, ConstructType::Type4),
+    MagneticSpaceGroupType::new(762, 812, "90.102", "97.8.812", 90, ConstructType::Type4),
+    MagneticSpaceGroupType::new(763, 764, "91.103", "91.1.764", 91, ConstructType::Type1),
+    MagneticSpaceGroupType::new(764, 765, "91.104", "91.2.765", 91, ConstructType::Type2),
+    MagneticSpaceGroupType::new(765, 766, "91.105", "91.3.766", 91, ConstructType::Type3),
+    MagneticSpaceGroupType::new(766, 767, "91.106", "91.4.767", 91, ConstructType::Type3),
+    MagneticSpaceGroupType::new(767, 768, "91.107", "91.5.768", 91, ConstructType::Type3),
+    MagneticSpaceGroupType::new(768, 781, "91.108", "93.6.781", 91, ConstructType::Type4),
+    MagneticSpaceGroupType::new(769, 769, "91.109", "91.6.769", 91, ConstructType::Type4),
+    MagneticSpaceGroupType::new(770, 819, "91.110", "98.6.819", 91, ConstructType::Type4),
+    MagneticSpaceGroupType::new(771, 771, "92.111", "92.1.771", 92, ConstructType::Type1),
+    MagneticSpaceGroupType::new(772, 772, "92.112", "92.2.772", 92, ConstructType::Type2),
+    MagneticSpaceGroupType::new(773, 773, "92.113", "92.3.773", 92, ConstructType::Type3),
+    MagneticSpaceGroupType::new(774, 774, "92.114", "92.4.774", 92, ConstructType::Type3),
+    MagneticSpaceGroupType::new(775, 775, "92.115", "92.5.775", 92, ConstructType::Type3),
+    MagneticSpaceGroupType::new(776, 791, "92.116", "94.6.791", 92, ConstructType::Type4),
+    MagneticSpaceGroupType::new(777, 770, "92.117", "91.7.770", 92, ConstructType::Type4),
+    MagneticSpaceGroupType::new(778, 821, "92.118", "98.8.821", 92, ConstructType::Type4),
+    MagneticSpaceGroupType::new(779, 776, "93.119", "93.1.776", 93, ConstructType::Type1),
+    MagneticSpaceGroupType::new(780, 777, "93.120", "93.2.777", 93, ConstructType::Type2),
+    MagneticSpaceGroupType::new(781, 778, "93.121", "93.3.778", 93, ConstructType::Type3),
+    MagneticSpaceGroupType::new(782, 779, "93.122", "93.4.779", 93, ConstructType::Type3),
+    MagneticSpaceGroupType::new(783, 780, "93.123", "93.5.780", 93, ConstructType::Type3),
+    MagneticSpaceGroupType::new(784, 755, "93.124", "89.9.755", 93, ConstructType::Type4),
+    MagneticSpaceGroupType::new(785, 782, "93.125", "93.7.782", 93, ConstructType::Type4),
+    MagneticSpaceGroupType::new(786, 811, "93.126", "97.7.811", 93, ConstructType::Type4),
+    MagneticSpaceGroupType::new(787, 786, "94.127", "94.1.786", 94, ConstructType::Type1),
+    MagneticSpaceGroupType::new(788, 787, "94.128", "94.2.787", 94, ConstructType::Type2),
+    MagneticSpaceGroupType::new(789, 788, "94.129", "94.3.788", 94, ConstructType::Type3),
+    MagneticSpaceGroupType::new(790, 789, "94.130", "94.4.789", 94, ConstructType::Type3),
+    MagneticSpaceGroupType::new(791, 790, "94.131", "94.5.790", 94, ConstructType::Type3),
+    MagneticSpaceGroupType::new(792, 763, "94.132", "90.7.763", 94, ConstructType::Type4),
+    MagneticSpaceGroupType::new(793, 785, "94.133", "93.10.785", 94, ConstructType::Type4),
+    MagneticSpaceGroupType::new(794, 813, "94.134", "97.9.813", 94, ConstructType::Type4),
+    MagneticSpaceGroupType::new(795, 793, "95.135", "95.1.793", 95, ConstructType::Type1),
+    MagneticSpaceGroupType::new(796, 794, "95.136", "95.2.794", 95, ConstructType::Type2),
+    MagneticSpaceGroupType::new(797, 795, "95.137", "95.3.795", 95, ConstructType::Type3),
+    MagneticSpaceGroupType::new(798, 796, "95.138", "95.4.796", 95, ConstructType::Type3),
+    MagneticSpaceGroupType::new(799, 797, "95.139", "95.5.797", 95, ConstructType::Type3),
+    MagneticSpaceGroupType::new(800, 784, "95.140", "93.9.784", 95, ConstructType::Type4),
+    MagneticSpaceGroupType::new(801, 798, "95.141", "95.6.798", 95, ConstructType::Type4),
+    MagneticSpaceGroupType::new(802, 820, "95.142", "98.7.820", 95, ConstructType::Type4),
+    MagneticSpaceGroupType::new(803, 800, "96.143", "96.1.800", 96, ConstructType::Type1),
+    MagneticSpaceGroupType::new(804, 801, "96.144", "96.2.801", 96, ConstructType::Type2),
+    MagneticSpaceGroupType::new(805, 802, "96.145", "96.3.802", 96, ConstructType::Type3),
+    MagneticSpaceGroupType::new(806, 803, "96.146", "96.4.803", 96, ConstructType::Type3),
+    MagneticSpaceGroupType::new(807, 804, "96.147", "96.5.804", 96, ConstructType::Type3),
+    MagneticSpaceGroupType::new(808, 792, "96.148", "94.7.792", 96, ConstructType::Type4),
+    MagneticSpaceGroupType::new(809, 799, "96.149", "95.7.799", 96, ConstructType::Type4),
+    MagneticSpaceGroupType::new(810, 822, "96.150", "98.9.822", 96, ConstructType::Type4),
+    MagneticSpaceGroupType::new(811, 805, "97.151", "97.1.805", 97, ConstructType::Type1),
+    MagneticSpaceGroupType::new(812, 806, "97.152", "97.2.806", 97, ConstructType::Type2),
+    MagneticSpaceGroupType::new(813, 807, "97.153", "97.3.807", 97, ConstructType::Type3),
+    MagneticSpaceGroupType::new(814, 808, "97.154", "97.4.808", 97, ConstructType::Type3),
+    MagneticSpaceGroupType::new(815, 809, "97.155", "97.5.809", 97, ConstructType::Type3),
+    MagneticSpaceGroupType::new(816, 754, "97.156", "89.8.754", 97, ConstructType::Type4),
+    MagneticSpaceGroupType::new(817, 814, "98.157", "98.1.814", 98, ConstructType::Type1),
+    MagneticSpaceGroupType::new(818, 815, "98.158", "98.2.815", 98, ConstructType::Type2),
+    MagneticSpaceGroupType::new(819, 816, "98.159", "98.3.816", 98, ConstructType::Type3),
+    MagneticSpaceGroupType::new(820, 817, "98.160", "98.4.817", 98, ConstructType::Type3),
+    MagneticSpaceGroupType::new(821, 818, "98.161", "98.5.818", 98, ConstructType::Type3),
+    MagneticSpaceGroupType::new(822, 783, "98.162", "93.8.783", 98, ConstructType::Type4),
+    MagneticSpaceGroupType::new(823, 823, "99.163", "99.1.823", 99, ConstructType::Type1),
+    MagneticSpaceGroupType::new(824, 824, "99.164", "99.2.824", 99, ConstructType::Type2),
+    MagneticSpaceGroupType::new(825, 825, "99.165", "99.3.825", 99, ConstructType::Type3),
+    MagneticSpaceGroupType::new(826, 826, "99.166", "99.4.826", 99, ConstructType::Type3),
+    MagneticSpaceGroupType::new(827, 827, "99.167", "99.5.827", 99, ConstructType::Type3),
+    MagneticSpaceGroupType::new(828, 828, "99.168", "99.6.828", 99, ConstructType::Type4),
+    MagneticSpaceGroupType::new(829, 829, "99.169", "99.7.829", 99, ConstructType::Type4),
+    MagneticSpaceGroupType::new(830, 888, "99.170", "107.6.888", 99, ConstructType::Type4),
+    MagneticSpaceGroupType::new(831, 836, "100.171", "100.1.836", 100, ConstructType::Type1),
+    MagneticSpaceGroupType::new(832, 837, "100.172", "100.2.837", 100, ConstructType::Type2),
+    MagneticSpaceGroupType::new(833, 838, "100.173", "100.3.838", 100, ConstructType::Type3),
+    MagneticSpaceGroupType::new(834, 839, "100.174", "100.4.839", 100, ConstructType::Type3),
+    MagneticSpaceGroupType::new(835, 840, "100.175", "100.5.840", 100, ConstructType::Type3),
+    MagneticSpaceGroupType::new(836, 841, "100.176", "100.6.841", 100, ConstructType::Type4),
+    MagneticSpaceGroupType::new(837, 834, "100.177", "99.12.834", 100, ConstructType::Type4),
+    MagneticSpaceGroupType::new(838, 897, "100.178", "108.6.897", 100, ConstructType::Type4),
+    MagneticSpaceGroupType::new(839, 845, "101.179", "101.1.845", 101, ConstructType::Type1),
+    MagneticSpaceGroupType::new(840, 846, "101.180", "101.2.846", 101, ConstructType::Type2),
+    MagneticSpaceGroupType::new(841, 847, "101.181", "101.3.847", 101, ConstructType::Type3),
+    MagneticSpaceGroupType::new(842, 848, "101.182", "101.4.848", 101, ConstructType::Type3),
+    MagneticSpaceGroupType::new(843, 849, "101.183", "101.5.849", 101, ConstructType::Type3),
+    MagneticSpaceGroupType::new(844, 831, "101.184", "99.9.831", 101, ConstructType::Type4),
+    MagneticSpaceGroupType::new(845, 876, "101.185", "105.6.876", 101, ConstructType::Type4),
+    MagneticSpaceGroupType::new(846, 898, "101.186", "108.7.898", 101, ConstructType::Type4),
+    MagneticSpaceGroupType::new(847, 852, "102.187", "102.1.852", 102, ConstructType::Type1),
+    MagneticSpaceGroupType::new(848, 853, "102.188", "102.2.853", 102, ConstructType::Type2),
+    MagneticSpaceGroupType::new(849, 854, "102.189", "102.3.854", 102, ConstructType::Type3),
+    MagneticSpaceGroupType::new(850, 855, "102.190", "102.4.855", 102, ConstructType::Type3),
+    MagneticSpaceGroupType::new(851, 856, "102.191", "102.5.856", 102, ConstructType::Type3),
+    MagneticSpaceGroupType::new(852, 842, "102.192", "100.7.842", 102, ConstructType::Type4),
+    MagneticSpaceGroupType::new(853, 877, "102.193", "105.7.877", 102, ConstructType::Type4),
+    MagneticSpaceGroupType::new(854, 889, "102.194", "107.7.889", 102, ConstructType::Type4),
+    MagneticSpaceGroupType::new(855, 859, "103.195", "103.1.859", 103, ConstructType::Type1),
+    MagneticSpaceGroupType::new(856, 860, "103.196", "103.2.860", 103, ConstructType::Type2),
+    MagneticSpaceGroupType::new(857, 861, "103.197", "103.3.861", 103, ConstructType::Type3),
+    MagneticSpaceGroupType::new(858, 862, "103.198", "103.4.862", 103, ConstructType::Type3),
+    MagneticSpaceGroupType::new(859, 863, "103.199", "103.5.863", 103, ConstructType::Type3),
+    MagneticSpaceGroupType::new(860, 833, "103.200", "99.11.833", 103, ConstructType::Type4),
+    MagneticSpaceGroupType::new(861, 864, "103.201", "103.6.864", 103, ConstructType::Type4),
+    MagneticSpaceGroupType::new(862, 900, "103.202", "108.9.900", 103, ConstructType::Type4),
+    MagneticSpaceGroupType::new(863, 866, "104.203", "104.1.866", 104, ConstructType::Type1),
+    MagneticSpaceGroupType::new(864, 867, "104.204", "104.2.867", 104, ConstructType::Type2),
+    MagneticSpaceGroupType::new(865, 868, "104.205", "104.3.868", 104, ConstructType::Type3),
+    MagneticSpaceGroupType::new(866, 869, "104.206", "104.4.869", 104, ConstructType::Type3),
+    MagneticSpaceGroupType::new(867, 870, "104.207", "104.5.870", 104, ConstructType::Type3),
+    MagneticSpaceGroupType::new(868, 844, "104.208", "100.9.844", 104, ConstructType::Type4),
+    MagneticSpaceGroupType::new(869, 865, "104.209", "103.7.865", 104, ConstructType::Type4),
+    MagneticSpaceGroupType::new(870, 891, "104.210", "107.9.891", 104, ConstructType::Type4),
+    MagneticSpaceGroupType::new(871, 871, "105.211", "105.1.871", 105, ConstructType::Type1),
+    MagneticSpaceGroupType::new(872, 872, "105.212", "105.2.872", 105, ConstructType::Type2),
+    MagneticSpaceGroupType::new(873, 873, "105.213", "105.3.873", 105, ConstructType::Type3),
+    MagneticSpaceGroupType::new(874, 874, "105.214", "105.4.874", 105, ConstructType::Type3),
+    MagneticSpaceGroupType::new(875, 875, "105.215", "105.5.875", 105, ConstructType::Type3),
+    MagneticSpaceGroupType::new(876, 832, "105.216", "99.10.832", 105, ConstructType::Type4),
+    MagneticSpaceGroupType::new(877, 850, "105.217", "101.6.850", 105, ConstructType::Type4),
+    MagneticSpaceGroupType::new(878, 890, "105.218", "107.8.890", 105, ConstructType::Type4),
+    MagneticSpaceGroupType::new(879, 878, "106.219", "106.1.878", 106, ConstructType::Type1),
+    MagneticSpaceGroupType::new(880, 879, "106.220", "106.2.879", 106, ConstructType::Type2),
+    MagneticSpaceGroupType::new(881, 880, "106.221", "106.3.880", 106, ConstructType::Type3),
+    MagneticSpaceGroupType::new(882, 881, "106.222", "106.4.881", 106, ConstructType::Type3),
+    MagneticSpaceGroupType::new(883, 882, "106.223", "106.5.882", 106, ConstructType::Type3),
+    MagneticSpaceGroupType::new(884, 843, "106.224", "100.8.843", 106, ConstructType::Type4),
+    MagneticSpaceGroupType::new(885, 851, "106.225", "101.7.851", 106, ConstructType::Type4),
+    MagneticSpaceGroupType::new(886, 899, "106.226", "108.8.899", 106, ConstructType::Type4),
+    MagneticSpaceGroupType::new(887, 883, "107.227", "107.1.883", 107, ConstructType::Type1),
+    MagneticSpaceGroupType::new(888, 884, "107.228", "107.2.884", 107, ConstructType::Type2),
+    MagneticSpaceGroupType::new(889, 885, "107.229", "107.3.885", 107, ConstructType::Type3),
+    MagneticSpaceGroupType::new(890, 886, "107.230", "107.4.886", 107, ConstructType::Type3),
+    MagneticSpaceGroupType::new(891, 887, "107.231", "107.5.887", 107, ConstructType::Type3),
+    MagneticSpaceGroupType::new(892, 830, "107.232", "99.8.830", 107, ConstructType::Type4),
+    MagneticSpaceGroupType::new(893, 892, "108.233", "108.1.892", 108, ConstructType::Type1),
+    MagneticSpaceGroupType::new(894, 893, "108.234", "108.2.893", 108, ConstructType::Type2),
+    MagneticSpaceGroupType::new(895, 894, "108.235", "108.3.894", 108, ConstructType::Type3),
+    MagneticSpaceGroupType::new(896, 895, "108.236", "108.4.895", 108, ConstructType::Type3),
+    MagneticSpaceGroupType::new(897, 896, "108.237", "108.5.896", 108, ConstructType::Type3),
+    MagneticSpaceGroupType::new(898, 835, "108.238", "99.13.835", 108, ConstructType::Type4),
+    MagneticSpaceGroupType::new(899, 901, "109.239", "109.1.901", 109, ConstructType::Type1),
+    MagneticSpaceGroupType::new(900, 902, "109.240", "109.2.902", 109, ConstructType::Type2),
+    MagneticSpaceGroupType::new(901, 903, "109.241", "109.3.903", 109, ConstructType::Type3),
+    MagneticSpaceGroupType::new(902, 904, "109.242", "109.4.904", 109, ConstructType::Type3),
+    MagneticSpaceGroupType::new(903, 905, "109.243", "109.5.905", 109, ConstructType::Type3),
+    MagneticSpaceGroupType::new(904, 857, "109.244", "102.6.857", 109, ConstructType::Type4),
+    MagneticSpaceGroupType::new(905, 906, "110.245", "110.1.906", 110, ConstructType::Type1),
+    MagneticSpaceGroupType::new(906, 907, "110.246", "110.2.907", 110, ConstructType::Type2),
+    MagneticSpaceGroupType::new(907, 908, "110.247", "110.3.908", 110, ConstructType::Type3),
+    MagneticSpaceGroupType::new(908, 909, "110.248", "110.4.909", 110, ConstructType::Type3),
+    MagneticSpaceGroupType::new(909, 910, "110.249", "110.5.910", 110, ConstructType::Type3),
+    MagneticSpaceGroupType::new(910, 858, "110.250", "102.7.858", 110, ConstructType::Type4),
+    MagneticSpaceGroupType::new(911, 911, "111.251", "111.1.911", 111, ConstructType::Type1),
+    MagneticSpaceGroupType::new(912, 912, "111.252", "111.2.912", 111, ConstructType::Type2),
+    MagneticSpaceGroupType::new(913, 913, "111.253", "111.3.913", 111, ConstructType::Type3),
+    MagneticSpaceGroupType::new(914, 914, "111.254", "111.4.914", 111, ConstructType::Type3),
+    MagneticSpaceGroupType::new(915, 915, "111.255", "111.5.915", 111, ConstructType::Type3),
+    MagneticSpaceGroupType::new(916, 916, "111.256", "111.6.916", 111, ConstructType::Type4),
+    MagneticSpaceGroupType::new(917, 947, "111.257", "115.7.947", 111, ConstructType::Type4),
+    MagneticSpaceGroupType::new(918, 990, "111.258", "121.6.990", 111, ConstructType::Type4),
+    MagneticSpaceGroupType::new(919, 922, "112.259", "112.1.922", 112, ConstructType::Type1),
+    MagneticSpaceGroupType::new(920, 923, "112.260", "112.2.923", 112, ConstructType::Type2),
+    MagneticSpaceGroupType::new(921, 924, "112.261", "112.3.924", 112, ConstructType::Type3),
+    MagneticSpaceGroupType::new(922, 925, "112.262", "112.4.925", 112, ConstructType::Type3),
+    MagneticSpaceGroupType::new(923, 926, "112.263", "112.5.926", 112, ConstructType::Type3),
+    MagneticSpaceGroupType::new(924, 919, "112.264", "111.9.919", 112, ConstructType::Type4),
+    MagneticSpaceGroupType::new(925, 956, "112.265", "116.6.956", 112, ConstructType::Type4),
+    MagneticSpaceGroupType::new(926, 992, "112.266", "121.8.992", 112, ConstructType::Type4),
+    MagneticSpaceGroupType::new(927, 929, "113.267", "113.1.929", 113, ConstructType::Type1),
+    MagneticSpaceGroupType::new(928, 930, "113.268", "113.2.930", 113, ConstructType::Type2),
+    MagneticSpaceGroupType::new(929, 931, "113.269", "113.3.931", 113, ConstructType::Type3),
+    MagneticSpaceGroupType::new(930, 932, "113.270", "113.4.932", 113, ConstructType::Type3),
+    MagneticSpaceGroupType::new(931, 933, "113.271", "113.5.933", 113, ConstructType::Type3),
+    MagneticSpaceGroupType::new(932, 934, "113.272", "113.6.934", 113, ConstructType::Type4),
+    MagneticSpaceGroupType::new(933, 950, "113.273", "115.10.950", 113, ConstructType::Type4),
+    MagneticSpaceGroupType::new(934, 991, "113.274", "121.7.991", 113, ConstructType::Type4),
+    MagneticSpaceGroupType::new(935, 936, "114.275", "114.1.936", 114, ConstructType::Type1),
+    MagneticSpaceGroupType::new(936, 937, "114.276", "114.2.937", 114, ConstructType::Type2),
+    MagneticSpaceGroupType::new(937, 938, "114.277", "114.3.938", 114, ConstructType::Type3),
+    MagneticSpaceGroupType::new(938, 939, "114.278", "114.4.939", 114, ConstructType::Type3),
+    MagneticSpaceGroupType::new(939, 940, "114.279", "114.5.940", 114, ConstructType::Type3),
+    MagneticSpaceGroupType::new(940, 935, "114.280", "113.7.935", 114, ConstructType::Type4),
+    MagneticSpaceGroupType::new(941, 957, "114.281", "116.7.957", 114, ConstructType::Type4),
+    MagneticSpaceGroupType::new(942, 993, "114.282", "121.9.993", 114, ConstructType::Type4),
+    MagneticSpaceGroupType::new(943, 941, "115.283", "115.1.941", 115, ConstructType::Type1),
+    MagneticSpaceGroupType::new(944, 942, "115.284", "115.2.942", 115, ConstructType::Type2),
+    MagneticSpaceGroupType::new(945, 943, "115.285", "115.3.943", 115, ConstructType::Type3),
+    MagneticSpaceGroupType::new(946, 944, "115.286", "115.4.944", 115, ConstructType::Type3),
+    MagneticSpaceGroupType::new(947, 945, "115.287", "115.5.945", 115, ConstructType::Type3),
+    MagneticSpaceGroupType::new(948, 946, "115.288", "115.6.946", 115, ConstructType::Type4),
+    MagneticSpaceGroupType::new(949, 917, "115.289", "111.7.917", 115, ConstructType::Type4),
+    MagneticSpaceGroupType::new(950, 976, "115.290", "119.6.976", 115, ConstructType::Type4),
+    MagneticSpaceGroupType::new(951, 951, "116.291", "116.1.951", 116, ConstructType::Type1),
+    MagneticSpaceGroupType::new(952, 952, "116.292", "116.2.952", 116, ConstructType::Type2),
+    MagneticSpaceGroupType::new(953, 953, "116.293", "116.3.953", 116, ConstructType::Type3),
+    MagneticSpaceGroupType::new(954, 954, "116.294", "116.4.954", 116, ConstructType::Type3),
+    MagneticSpaceGroupType::new(955, 955, "116.295", "116.5.955", 116, ConstructType::Type3),
+    MagneticSpaceGroupType::new(956, 949, "116.296", "115.9.949", 116, ConstructType::Type4),
+    MagneticSpaceGroupType::new(957, 927, "116.297", "112.6.927", 116, ConstructType::Type4),
+    MagneticSpaceGroupType::new(958, 983, "116.298", "120.6.983", 116, ConstructType::Type4),
+    MagneticSpaceGroupType::new(959, 958, "117.299", "117.1.958", 117, ConstructType::Type1),
+    MagneticSpaceGroupType::new(960, 959, "117.300", "117.2.959", 117, ConstructType::Type2),
+    MagneticSpaceGroupType::new(961, 960, "117.301", "117.3.960", 117, ConstructType::Type3),
+    MagneticSpaceGroupType::new(962, 961, "117.302", "117.4.961", 117, ConstructType::Type3),
+    MagneticSpaceGroupType::new(963, 962, "117.303", "117.5.962", 117, ConstructType::Type3),
+    MagneticSpaceGroupType::new(964, 963, "117.304", "117.6.963", 117, ConstructType::Type4),
+    MagneticSpaceGroupType::new(965, 920, "117.305", "111.10.920", 117, ConstructType::Type4),
+    MagneticSpaceGroupType::new(966, 984, "117.306", "120.7.984", 117, ConstructType::Type4),
+    MagneticSpaceGroupType::new(967, 965, "118.307", "118.1.965", 118, ConstructType::Type1),
+    MagneticSpaceGroupType::new(968, 966, "118.308", "118.2.966", 118, ConstructType::Type2),
+    MagneticSpaceGroupType::new(969, 967, "118.309", "118.3.967", 118, ConstructType::Type3),
+    MagneticSpaceGroupType::new(970, 968, "118.310", "118.4.968", 118, ConstructType::Type3),
+    MagneticSpaceGroupType::new(971, 969, "118.311", "118.5.969", 118, ConstructType::Type3),
+    MagneticSpaceGroupType::new(972, 964, "118.312", "117.7.964", 118, ConstructType::Type4),
+    MagneticSpaceGroupType::new(973, 928, "118.313", "112.7.928", 118, ConstructType::Type4),
+    MagneticSpaceGroupType::new(974, 977, "118.314", "119.7.977", 118, ConstructType::Type4),
+    MagneticSpaceGroupType::new(975, 971, "119.315", "119.1.971", 119, ConstructType::Type1),
+    MagneticSpaceGroupType::new(976, 972, "119.316", "119.2.972", 119, ConstructType::Type2),
+    MagneticSpaceGroupType::new(977, 973, "119.317", "119.3.973", 119, ConstructType::Type3),
+    MagneticSpaceGroupType::new(978, 974, "119.318", "119.4.974", 119, ConstructType::Type3),
+    MagneticSpaceGroupType::new(979, 975, "119.319", "119.5.975", 119, ConstructType::Type3),
+    MagneticSpaceGroupType::new(980, 918, "119.320", "111.8.918", 119, ConstructType::Type4),
+    MagneticSpaceGroupType::new(981, 978, "120.321", "120.1.978", 120, ConstructType::Type1),
+    MagneticSpaceGroupType::new(982, 979, "120.322", "120.2.979", 120, ConstructType::Type2),
+    MagneticSpaceGroupType::new(983, 980, "120.323", "120.3.980", 120, ConstructType::Type3),
+    MagneticSpaceGroupType::new(984, 981, "120.324", "120.4.981", 120, ConstructType::Type3),
+    MagneticSpaceGroupType::new(985, 982, "120.325", "120.5.982", 120, ConstructType::Type3),
+    MagneticSpaceGroupType::new(986, 921, "120.326", "111.11.921", 120, ConstructType::Type4),
+    MagneticSpaceGroupType::new(987, 985, "121.327", "121.1.985", 121, ConstructType::Type1),
+    MagneticSpaceGroupType::new(988, 986, "121.328", "121.2.986", 121, ConstructType::Type2),
+    MagneticSpaceGroupType::new(989, 987, "121.329", "121.3.987", 121, ConstructType::Type3),
+    MagneticSpaceGroupType::new(990, 988, "121.330", "121.4.988", 121, ConstructType::Type3),
+    MagneticSpaceGroupType::new(991, 989, "121.331", "121.5.989", 121, ConstructType::Type3),
+    MagneticSpaceGroupType::new(992, 948, "121.332", "115.8.948", 121, ConstructType::Type4),
+    MagneticSpaceGroupType::new(993, 994, "122.333", "122.1.994", 122, ConstructType::Type1),
+    MagneticSpaceGroupType::new(994, 995, "122.334", "122.2.995", 122, ConstructType::Type2),
+    MagneticSpaceGroupType::new(995, 996, "122.335", "122.3.996", 122, ConstructType::Type3),
+    MagneticSpaceGroupType::new(996, 997, "122.336", "122.4.997", 122, ConstructType::Type3),
+    MagneticSpaceGroupType::new(997, 998, "122.337", "122.5.998", 122, ConstructType::Type3),
+    MagneticSpaceGroupType::new(998, 970, "122.338", "118.6.970", 122, ConstructType::Type4),
+    MagneticSpaceGroupType::new(999, 999, "123.339", "123.1.999", 123, ConstructType::Type1),
+    MagneticSpaceGroupType::new(
+        1000,
+        1000,
+        "123.340",
+        "123.2.1000",
+        123,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1001,
+        1001,
+        "123.341",
+        "123.3.1001",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1002,
+        1002,
+        "123.342",
+        "123.4.1002",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1003,
+        1003,
+        "123.343",
+        "123.5.1003",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1004,
+        1004,
+        "123.344",
+        "123.6.1004",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1005,
+        1005,
+        "123.345",
+        "123.7.1005",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1006,
+        1006,
+        "123.346",
+        "123.8.1006",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1007,
+        1007,
+        "123.347",
+        "123.9.1007",
+        123,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1008,
+        1008,
+        "123.348",
+        "123.10.1008",
+        123,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1009,
+        1009,
+        "123.349",
+        "123.11.1009",
+        123,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1010,
+        1188,
+        "123.350",
+        "139.10.1188",
+        123,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1011,
+        1018,
+        "124.351",
+        "124.1.1018",
+        124,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1012,
+        1019,
+        "124.352",
+        "124.2.1019",
+        124,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1013,
+        1020,
+        "124.353",
+        "124.3.1020",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1014,
+        1021,
+        "124.354",
+        "124.4.1021",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1015,
+        1022,
+        "124.355",
+        "124.5.1022",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1016,
+        1023,
+        "124.356",
+        "124.6.1023",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1017,
+        1024,
+        "124.357",
+        "124.7.1024",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1018,
+        1025,
+        "124.358",
+        "124.8.1025",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1019,
+        1026,
+        "124.359",
+        "124.9.1026",
+        124,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1020,
+        1013,
+        "124.360",
+        "123.15.1013",
+        124,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1021,
+        1027,
+        "124.361",
+        "124.10.1027",
+        124,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1022,
+        1205,
+        "124.362",
+        "140.10.1205",
+        124,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1023,
+        1031,
+        "125.363",
+        "125.1.1031",
+        125,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1024,
+        1032,
+        "125.364",
+        "125.2.1032",
+        125,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1025,
+        1033,
+        "125.365",
+        "125.3.1033",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1026,
+        1034,
+        "125.366",
+        "125.4.1034",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1027,
+        1035,
+        "125.367",
+        "125.5.1035",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1028,
+        1036,
+        "125.368",
+        "125.6.1036",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1029,
+        1037,
+        "125.369",
+        "125.7.1037",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1030,
+        1038,
+        "125.370",
+        "125.8.1038",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1031,
+        1039,
+        "125.371",
+        "125.9.1039",
+        125,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1032,
+        1040,
+        "125.372",
+        "125.10.1040",
+        125,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1033,
+        1016,
+        "125.373",
+        "123.18.1016",
+        125,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1034,
+        1212,
+        "125.374",
+        "140.17.1212",
+        125,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1035,
+        1044,
+        "126.375",
+        "126.1.1044",
+        126,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1036,
+        1045,
+        "126.376",
+        "126.2.1045",
+        126,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1037,
+        1046,
+        "126.377",
+        "126.3.1046",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1038,
+        1047,
+        "126.378",
+        "126.4.1047",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1039,
+        1048,
+        "126.379",
+        "126.5.1048",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1040,
+        1049,
+        "126.380",
+        "126.6.1049",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1041,
+        1050,
+        "126.381",
+        "126.7.1050",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1042,
+        1051,
+        "126.382",
+        "126.8.1051",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1043,
+        1052,
+        "126.383",
+        "126.9.1052",
+        126,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1044,
+        1043,
+        "126.384",
+        "125.13.1043",
+        126,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1045,
+        1030,
+        "126.385",
+        "124.13.1030",
+        126,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1046,
+        1195,
+        "126.386",
+        "139.17.1195",
+        126,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1047,
+        1053,
+        "127.387",
+        "127.1.1053",
+        127,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1048,
+        1054,
+        "127.388",
+        "127.2.1054",
+        127,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1049,
+        1055,
+        "127.389",
+        "127.3.1055",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1050,
+        1056,
+        "127.390",
+        "127.4.1056",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1051,
+        1057,
+        "127.391",
+        "127.5.1057",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1052,
+        1058,
+        "127.392",
+        "127.6.1058",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1053,
+        1059,
+        "127.393",
+        "127.7.1059",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1054,
+        1060,
+        "127.394",
+        "127.8.1060",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1055,
+        1061,
+        "127.395",
+        "127.9.1061",
+        127,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1056,
+        1062,
+        "127.396",
+        "127.10.1062",
+        127,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1057,
+        1015,
+        "127.397",
+        "123.17.1015",
+        127,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1058,
+        1210,
+        "127.398",
+        "140.15.1210",
+        127,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1059,
+        1066,
+        "128.399",
+        "128.1.1066",
+        128,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1060,
+        1067,
+        "128.400",
+        "128.2.1067",
+        128,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1061,
+        1068,
+        "128.401",
+        "128.3.1068",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1062,
+        1069,
+        "128.402",
+        "128.4.1069",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1063,
+        1070,
+        "128.403",
+        "128.5.1070",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1064,
+        1071,
+        "128.404",
+        "128.6.1071",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1065,
+        1072,
+        "128.405",
+        "128.7.1072",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1066,
+        1073,
+        "128.406",
+        "128.8.1073",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1067,
+        1074,
+        "128.407",
+        "128.9.1074",
+        128,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1068,
+        1065,
+        "128.408",
+        "127.13.1065",
+        128,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1069,
+        1029,
+        "128.409",
+        "124.12.1029",
+        128,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1070,
+        1193,
+        "128.410",
+        "139.15.1193",
+        128,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1071,
+        1075,
+        "129.411",
+        "129.1.1075",
+        129,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1072,
+        1076,
+        "129.412",
+        "129.2.1076",
+        129,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1073,
+        1077,
+        "129.413",
+        "129.3.1077",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1074,
+        1078,
+        "129.414",
+        "129.4.1078",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1075,
+        1079,
+        "129.415",
+        "129.5.1079",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1076,
+        1080,
+        "129.416",
+        "129.6.1080",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1077,
+        1081,
+        "129.417",
+        "129.7.1081",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1078,
+        1082,
+        "129.418",
+        "129.8.1082",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1079,
+        1083,
+        "129.419",
+        "129.9.1083",
+        129,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1080,
+        1084,
+        "129.420",
+        "129.10.1084",
+        129,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1081,
+        1014,
+        "129.421",
+        "123.16.1014",
+        129,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1082,
+        1189,
+        "129.422",
+        "139.11.1189",
+        129,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1083,
+        1088,
+        "130.423",
+        "130.1.1088",
+        130,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1084,
+        1089,
+        "130.424",
+        "130.2.1089",
+        130,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1085,
+        1090,
+        "130.425",
+        "130.3.1090",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1086,
+        1091,
+        "130.426",
+        "130.4.1091",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1087,
+        1092,
+        "130.427",
+        "130.5.1092",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1088,
+        1093,
+        "130.428",
+        "130.6.1093",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1089,
+        1094,
+        "130.429",
+        "130.7.1094",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1090,
+        1095,
+        "130.430",
+        "130.8.1095",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1091,
+        1096,
+        "130.431",
+        "130.9.1096",
+        130,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1092,
+        1087,
+        "130.432",
+        "129.13.1087",
+        130,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1093,
+        1028,
+        "130.433",
+        "124.11.1028",
+        130,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1094,
+        1206,
+        "130.434",
+        "140.11.1206",
+        130,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1095,
+        1097,
+        "131.435",
+        "131.1.1097",
+        131,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1096,
+        1098,
+        "131.436",
+        "131.2.1098",
+        131,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1097,
+        1099,
+        "131.437",
+        "131.3.1099",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1098,
+        1100,
+        "131.438",
+        "131.4.1100",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1099,
+        1101,
+        "131.439",
+        "131.5.1101",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1100,
+        1102,
+        "131.440",
+        "131.6.1102",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1101,
+        1103,
+        "131.441",
+        "131.7.1103",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1102,
+        1104,
+        "131.442",
+        "131.8.1104",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1103,
+        1105,
+        "131.443",
+        "131.9.1105",
+        131,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1104,
+        1012,
+        "131.444",
+        "123.14.1012",
+        131,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1105,
+        1119,
+        "131.445",
+        "132.10.1119",
+        131,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1106,
+        1191,
+        "131.446",
+        "139.13.1191",
+        131,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1107,
+        1110,
+        "132.447",
+        "132.1.1110",
+        132,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1108,
+        1111,
+        "132.448",
+        "132.2.1111",
+        132,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1109,
+        1112,
+        "132.449",
+        "132.3.1112",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1110,
+        1113,
+        "132.450",
+        "132.4.1113",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1111,
+        1114,
+        "132.451",
+        "132.5.1114",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1112,
+        1115,
+        "132.452",
+        "132.6.1115",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1113,
+        1116,
+        "132.453",
+        "132.7.1116",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1114,
+        1117,
+        "132.454",
+        "132.8.1117",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1115,
+        1118,
+        "132.455",
+        "132.9.1118",
+        132,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1116,
+        1011,
+        "132.456",
+        "123.13.1011",
+        132,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1117,
+        1106,
+        "132.457",
+        "131.10.1106",
+        132,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1118,
+        1208,
+        "132.458",
+        "140.13.1208",
+        132,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1119,
+        1123,
+        "133.459",
+        "133.1.1123",
+        133,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1120,
+        1124,
+        "133.460",
+        "133.2.1124",
+        133,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1121,
+        1125,
+        "133.461",
+        "133.3.1125",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1122,
+        1126,
+        "133.462",
+        "133.4.1126",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1123,
+        1127,
+        "133.463",
+        "133.5.1127",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1124,
+        1128,
+        "133.464",
+        "133.6.1128",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1125,
+        1129,
+        "133.465",
+        "133.7.1129",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1126,
+        1130,
+        "133.466",
+        "133.8.1130",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1127,
+        1131,
+        "133.467",
+        "133.9.1131",
+        133,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1128,
+        1042,
+        "133.468",
+        "125.12.1042",
+        133,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1129,
+        1122,
+        "133.469",
+        "132.13.1122",
+        133,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1130,
+        1209,
+        "133.470",
+        "140.14.1209",
+        133,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1131,
+        1132,
+        "134.471",
+        "134.1.1132",
+        134,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1132,
+        1133,
+        "134.472",
+        "134.2.1133",
+        134,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1133,
+        1134,
+        "134.473",
+        "134.3.1134",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1134,
+        1135,
+        "134.474",
+        "134.4.1135",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1135,
+        1136,
+        "134.475",
+        "134.5.1136",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1136,
+        1137,
+        "134.476",
+        "134.6.1137",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1137,
+        1138,
+        "134.477",
+        "134.7.1138",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1138,
+        1139,
+        "134.478",
+        "134.8.1139",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1139,
+        1140,
+        "134.479",
+        "134.9.1140",
+        134,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1140,
+        1041,
+        "134.480",
+        "125.11.1041",
+        134,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1141,
+        1109,
+        "134.481",
+        "131.13.1109",
+        134,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1142,
+        1192,
+        "134.482",
+        "139.14.1192",
+        134,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1143,
+        1143,
+        "135.483",
+        "135.1.1143",
+        135,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1144,
+        1144,
+        "135.484",
+        "135.2.1144",
+        135,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1145,
+        1145,
+        "135.485",
+        "135.3.1145",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1146,
+        1146,
+        "135.486",
+        "135.4.1146",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1147,
+        1147,
+        "135.487",
+        "135.5.1147",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1148,
+        1148,
+        "135.488",
+        "135.6.1148",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1149,
+        1149,
+        "135.489",
+        "135.7.1149",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1150,
+        1150,
+        "135.490",
+        "135.8.1150",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1151,
+        1151,
+        "135.491",
+        "135.9.1151",
+        135,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1152,
+        1064,
+        "135.492",
+        "127.12.1064",
+        135,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1153,
+        1121,
+        "135.493",
+        "132.12.1121",
+        135,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1154,
+        1207,
+        "135.494",
+        "140.12.1207",
+        135,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1155,
+        1152,
+        "136.495",
+        "136.1.1152",
+        136,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1156,
+        1153,
+        "136.496",
+        "136.2.1153",
+        136,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1157,
+        1154,
+        "136.497",
+        "136.3.1154",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1158,
+        1155,
+        "136.498",
+        "136.4.1155",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1159,
+        1156,
+        "136.499",
+        "136.5.1156",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1160,
+        1157,
+        "136.500",
+        "136.6.1157",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1161,
+        1158,
+        "136.501",
+        "136.7.1158",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1162,
+        1159,
+        "136.502",
+        "136.8.1159",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1163,
+        1160,
+        "136.503",
+        "136.9.1160",
+        136,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1164,
+        1063,
+        "136.504",
+        "127.11.1063",
+        136,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1165,
+        1108,
+        "136.505",
+        "131.12.1108",
+        136,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1166,
+        1190,
+        "136.506",
+        "139.12.1190",
+        136,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1167,
+        1161,
+        "137.507",
+        "137.1.1161",
+        137,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1168,
+        1162,
+        "137.508",
+        "137.2.1162",
+        137,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1169,
+        1163,
+        "137.509",
+        "137.3.1163",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1170,
+        1164,
+        "137.510",
+        "137.4.1164",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1171,
+        1165,
+        "137.511",
+        "137.5.1165",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1172,
+        1166,
+        "137.512",
+        "137.6.1166",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1173,
+        1167,
+        "137.513",
+        "137.7.1167",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1174,
+        1168,
+        "137.514",
+        "137.8.1168",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1175,
+        1169,
+        "137.515",
+        "137.9.1169",
+        137,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1176,
+        1086,
+        "137.516",
+        "129.12.1086",
+        137,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1177,
+        1120,
+        "137.517",
+        "132.11.1120",
+        137,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1178,
+        1194,
+        "137.518",
+        "139.16.1194",
+        137,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1179,
+        1170,
+        "138.519",
+        "138.1.1170",
+        138,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1180,
+        1171,
+        "138.520",
+        "138.2.1171",
+        138,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1181,
+        1172,
+        "138.521",
+        "138.3.1172",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1182,
+        1173,
+        "138.522",
+        "138.4.1173",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1183,
+        1174,
+        "138.523",
+        "138.5.1174",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1184,
+        1175,
+        "138.524",
+        "138.6.1175",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1185,
+        1176,
+        "138.525",
+        "138.7.1176",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1186,
+        1177,
+        "138.526",
+        "138.8.1177",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1187,
+        1178,
+        "138.527",
+        "138.9.1178",
+        138,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1188,
+        1085,
+        "138.528",
+        "129.11.1085",
+        138,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1189,
+        1107,
+        "138.529",
+        "131.11.1107",
+        138,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1190,
+        1211,
+        "138.530",
+        "140.16.1211",
+        138,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1191,
+        1179,
+        "139.531",
+        "139.1.1179",
+        139,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1192,
+        1180,
+        "139.532",
+        "139.2.1180",
+        139,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1193,
+        1181,
+        "139.533",
+        "139.3.1181",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1194,
+        1182,
+        "139.534",
+        "139.4.1182",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1195,
+        1183,
+        "139.535",
+        "139.5.1183",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1196,
+        1184,
+        "139.536",
+        "139.6.1184",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1197,
+        1185,
+        "139.537",
+        "139.7.1185",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1198,
+        1186,
+        "139.538",
+        "139.8.1186",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1199,
+        1187,
+        "139.539",
+        "139.9.1187",
+        139,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1200,
+        1010,
+        "139.540",
+        "123.12.1010",
+        139,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1201,
+        1196,
+        "140.541",
+        "140.1.1196",
+        140,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1202,
+        1197,
+        "140.542",
+        "140.2.1197",
+        140,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1203,
+        1198,
+        "140.543",
+        "140.3.1198",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1204,
+        1199,
+        "140.544",
+        "140.4.1199",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1205,
+        1200,
+        "140.545",
+        "140.5.1200",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1206,
+        1201,
+        "140.546",
+        "140.6.1201",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1207,
+        1202,
+        "140.547",
+        "140.7.1202",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1208,
+        1203,
+        "140.548",
+        "140.8.1203",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1209,
+        1204,
+        "140.549",
+        "140.9.1204",
+        140,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1210,
+        1017,
+        "140.550",
+        "123.19.1017",
+        140,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1211,
+        1213,
+        "141.551",
+        "141.1.1213",
+        141,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1212,
+        1214,
+        "141.552",
+        "141.2.1214",
+        141,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1213,
+        1215,
+        "141.553",
+        "141.3.1215",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1214,
+        1216,
+        "141.554",
+        "141.4.1216",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1215,
+        1217,
+        "141.555",
+        "141.5.1217",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1216,
+        1218,
+        "141.556",
+        "141.6.1218",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1217,
+        1219,
+        "141.557",
+        "141.7.1219",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1218,
+        1220,
+        "141.558",
+        "141.8.1220",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1219,
+        1221,
+        "141.559",
+        "141.9.1221",
+        141,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1220,
+        1141,
+        "141.560",
+        "134.10.1141",
+        141,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1221,
+        1222,
+        "142.561",
+        "142.1.1222",
+        142,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1222,
+        1223,
+        "142.562",
+        "142.2.1223",
+        142,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1223,
+        1224,
+        "142.563",
+        "142.3.1224",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1224,
+        1225,
+        "142.564",
+        "142.4.1225",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1225,
+        1226,
+        "142.565",
+        "142.5.1226",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1226,
+        1227,
+        "142.566",
+        "142.6.1227",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1227,
+        1228,
+        "142.567",
+        "142.7.1228",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1228,
+        1229,
+        "142.568",
+        "142.8.1229",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1229,
+        1230,
+        "142.569",
+        "142.9.1230",
+        142,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1230,
+        1142,
+        "142.570",
+        "134.11.1142",
+        142,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(1231, 1231, "143.1", "143.1.1231", 143, ConstructType::Type1),
+    MagneticSpaceGroupType::new(1232, 1232, "143.2", "143.2.1232", 143, ConstructType::Type2),
+    MagneticSpaceGroupType::new(1233, 1233, "143.3", "143.3.1233", 143, ConstructType::Type4),
+    MagneticSpaceGroupType::new(1234, 1234, "144.4", "144.1.1234", 144, ConstructType::Type1),
+    MagneticSpaceGroupType::new(1235, 1235, "144.5", "144.2.1235", 144, ConstructType::Type2),
+    MagneticSpaceGroupType::new(1236, 1239, "144.6", "145.3.1239", 144, ConstructType::Type4),
+    MagneticSpaceGroupType::new(1237, 1237, "145.7", "145.1.1237", 145, ConstructType::Type1),
+    MagneticSpaceGroupType::new(1238, 1238, "145.8", "145.2.1238", 145, ConstructType::Type2),
+    MagneticSpaceGroupType::new(1239, 1236, "145.9", "144.3.1236", 145, ConstructType::Type4),
+    MagneticSpaceGroupType::new(
+        1240,
+        1240,
+        "146.10",
+        "146.1.1240",
+        146,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1241,
+        1241,
+        "146.11",
+        "146.2.1241",
+        146,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1242,
+        1242,
+        "146.12",
+        "146.3.1242",
+        146,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1243,
+        1243,
+        "147.13",
+        "147.1.1243",
+        147,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1244,
+        1244,
+        "147.14",
+        "147.2.1244",
+        147,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1245,
+        1245,
+        "147.15",
+        "147.3.1245",
+        147,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1246,
+        1246,
+        "147.16",
+        "147.4.1246",
+        147,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1247,
+        1247,
+        "148.17",
+        "148.1.1247",
+        148,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1248,
+        1248,
+        "148.18",
+        "148.2.1248",
+        148,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1249,
+        1249,
+        "148.19",
+        "148.3.1249",
+        148,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1250,
+        1250,
+        "148.20",
+        "148.4.1250",
+        148,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1251,
+        1251,
+        "149.21",
+        "149.1.1251",
+        149,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1252,
+        1252,
+        "149.22",
+        "149.2.1252",
+        149,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1253,
+        1253,
+        "149.23",
+        "149.3.1253",
+        149,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1254,
+        1254,
+        "149.24",
+        "149.4.1254",
+        149,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1255,
+        1255,
+        "150.25",
+        "150.1.1255",
+        150,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1256,
+        1256,
+        "150.26",
+        "150.2.1256",
+        150,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1257,
+        1257,
+        "150.27",
+        "150.3.1257",
+        150,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1258,
+        1258,
+        "150.28",
+        "150.4.1258",
+        150,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1259,
+        1259,
+        "151.29",
+        "151.1.1259",
+        151,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1260,
+        1260,
+        "151.30",
+        "151.2.1260",
+        151,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1261,
+        1261,
+        "151.31",
+        "151.3.1261",
+        151,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1262,
+        1270,
+        "151.32",
+        "153.4.1270",
+        151,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1263,
+        1263,
+        "152.33",
+        "152.1.1263",
+        152,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1264,
+        1264,
+        "152.34",
+        "152.2.1264",
+        152,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1265,
+        1265,
+        "152.35",
+        "152.3.1265",
+        152,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1266,
+        1274,
+        "152.36",
+        "154.4.1274",
+        152,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1267,
+        1267,
+        "153.37",
+        "153.1.1267",
+        153,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1268,
+        1268,
+        "153.38",
+        "153.2.1268",
+        153,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1269,
+        1269,
+        "153.39",
+        "153.3.1269",
+        153,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1270,
+        1262,
+        "153.40",
+        "151.4.1262",
+        153,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1271,
+        1271,
+        "154.41",
+        "154.1.1271",
+        154,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1272,
+        1272,
+        "154.42",
+        "154.2.1272",
+        154,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1273,
+        1273,
+        "154.43",
+        "154.3.1273",
+        154,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1274,
+        1266,
+        "154.44",
+        "152.4.1266",
+        154,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1275,
+        1275,
+        "155.45",
+        "155.1.1275",
+        155,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1276,
+        1276,
+        "155.46",
+        "155.2.1276",
+        155,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1277,
+        1277,
+        "155.47",
+        "155.3.1277",
+        155,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1278,
+        1278,
+        "155.48",
+        "155.4.1278",
+        155,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1279,
+        1279,
+        "156.49",
+        "156.1.1279",
+        156,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1280,
+        1280,
+        "156.50",
+        "156.2.1280",
+        156,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1281,
+        1281,
+        "156.51",
+        "156.3.1281",
+        156,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1282,
+        1282,
+        "156.52",
+        "156.4.1282",
+        156,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1283,
+        1284,
+        "157.53",
+        "157.1.1284",
+        157,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1284,
+        1285,
+        "157.54",
+        "157.2.1285",
+        157,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1285,
+        1286,
+        "157.55",
+        "157.3.1286",
+        157,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1286,
+        1287,
+        "157.56",
+        "157.4.1287",
+        157,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1287,
+        1289,
+        "158.57",
+        "158.1.1289",
+        158,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1288,
+        1290,
+        "158.58",
+        "158.2.1290",
+        158,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1289,
+        1291,
+        "158.59",
+        "158.3.1291",
+        158,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1290,
+        1283,
+        "158.60",
+        "156.5.1283",
+        158,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1291,
+        1292,
+        "159.61",
+        "159.1.1292",
+        159,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1292,
+        1293,
+        "159.62",
+        "159.2.1293",
+        159,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1293,
+        1294,
+        "159.63",
+        "159.3.1294",
+        159,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1294,
+        1288,
+        "159.64",
+        "157.5.1288",
+        159,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1295,
+        1295,
+        "160.65",
+        "160.1.1295",
+        160,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1296,
+        1296,
+        "160.66",
+        "160.2.1296",
+        160,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1297,
+        1297,
+        "160.67",
+        "160.3.1297",
+        160,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1298,
+        1298,
+        "160.68",
+        "160.4.1298",
+        160,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1299,
+        1300,
+        "161.69",
+        "161.1.1300",
+        161,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1300,
+        1301,
+        "161.70",
+        "161.2.1301",
+        161,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1301,
+        1302,
+        "161.71",
+        "161.3.1302",
+        161,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1302,
+        1299,
+        "161.72",
+        "160.5.1299",
+        161,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1303,
+        1303,
+        "162.73",
+        "162.1.1303",
+        162,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1304,
+        1304,
+        "162.74",
+        "162.2.1304",
+        162,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1305,
+        1305,
+        "162.75",
+        "162.3.1305",
+        162,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1306,
+        1306,
+        "162.76",
+        "162.4.1306",
+        162,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1307,
+        1307,
+        "162.77",
+        "162.5.1307",
+        162,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1308,
+        1308,
+        "162.78",
+        "162.6.1308",
+        162,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1309,
+        1310,
+        "163.79",
+        "163.1.1310",
+        163,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1310,
+        1311,
+        "163.80",
+        "163.2.1311",
+        163,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1311,
+        1312,
+        "163.81",
+        "163.3.1312",
+        163,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1312,
+        1313,
+        "163.82",
+        "163.4.1313",
+        163,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1313,
+        1314,
+        "163.83",
+        "163.5.1314",
+        163,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1314,
+        1309,
+        "163.84",
+        "162.7.1309",
+        163,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1315,
+        1315,
+        "164.85",
+        "164.1.1315",
+        164,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1316,
+        1316,
+        "164.86",
+        "164.2.1316",
+        164,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1317,
+        1317,
+        "164.87",
+        "164.3.1317",
+        164,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1318,
+        1318,
+        "164.88",
+        "164.4.1318",
+        164,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1319,
+        1319,
+        "164.89",
+        "164.5.1319",
+        164,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1320,
+        1320,
+        "164.90",
+        "164.6.1320",
+        164,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1321,
+        1322,
+        "165.91",
+        "165.1.1322",
+        165,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1322,
+        1323,
+        "165.92",
+        "165.2.1323",
+        165,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1323,
+        1324,
+        "165.93",
+        "165.3.1324",
+        165,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1324,
+        1325,
+        "165.94",
+        "165.4.1325",
+        165,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1325,
+        1326,
+        "165.95",
+        "165.5.1326",
+        165,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1326,
+        1321,
+        "165.96",
+        "164.7.1321",
+        165,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1327,
+        1327,
+        "166.97",
+        "166.1.1327",
+        166,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1328,
+        1328,
+        "166.98",
+        "166.2.1328",
+        166,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1329,
+        1329,
+        "166.99",
+        "166.3.1329",
+        166,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1330,
+        1330,
+        "166.100",
+        "166.4.1330",
+        166,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1331,
+        1331,
+        "166.101",
+        "166.5.1331",
+        166,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1332,
+        1332,
+        "166.102",
+        "166.6.1332",
+        166,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1333,
+        1334,
+        "167.103",
+        "167.1.1334",
+        167,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1334,
+        1335,
+        "167.104",
+        "167.2.1335",
+        167,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1335,
+        1336,
+        "167.105",
+        "167.3.1336",
+        167,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1336,
+        1337,
+        "167.106",
+        "167.4.1337",
+        167,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1337,
+        1338,
+        "167.107",
+        "167.5.1338",
+        167,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1338,
+        1333,
+        "167.108",
+        "166.7.1333",
+        167,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1339,
+        1339,
+        "168.109",
+        "168.1.1339",
+        168,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1340,
+        1340,
+        "168.110",
+        "168.2.1340",
+        168,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1341,
+        1341,
+        "168.111",
+        "168.3.1341",
+        168,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1342,
+        1342,
+        "168.112",
+        "168.4.1342",
+        168,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1343,
+        1344,
+        "169.113",
+        "169.1.1344",
+        169,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1344,
+        1345,
+        "169.114",
+        "169.2.1345",
+        169,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1345,
+        1346,
+        "169.115",
+        "169.3.1346",
+        169,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1346,
+        1353,
+        "169.116",
+        "171.4.1353",
+        169,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1347,
+        1347,
+        "170.117",
+        "170.1.1347",
+        170,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1348,
+        1348,
+        "170.118",
+        "170.2.1348",
+        170,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1349,
+        1349,
+        "170.119",
+        "170.3.1349",
+        170,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1350,
+        1359,
+        "170.120",
+        "172.5.1359",
+        170,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1351,
+        1350,
+        "171.121",
+        "171.1.1350",
+        171,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1352,
+        1351,
+        "171.122",
+        "171.2.1351",
+        171,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1353,
+        1352,
+        "171.123",
+        "171.3.1352",
+        171,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1354,
+        1358,
+        "171.124",
+        "172.4.1358",
+        171,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1355,
+        1355,
+        "172.125",
+        "172.1.1355",
+        172,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1356,
+        1356,
+        "172.126",
+        "172.2.1356",
+        172,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1357,
+        1357,
+        "172.127",
+        "172.3.1357",
+        172,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1358,
+        1354,
+        "172.128",
+        "171.5.1354",
+        172,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1359,
+        1360,
+        "173.129",
+        "173.1.1360",
+        173,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1360,
+        1361,
+        "173.130",
+        "173.2.1361",
+        173,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1361,
+        1362,
+        "173.131",
+        "173.3.1362",
+        173,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1362,
+        1343,
+        "173.132",
+        "168.5.1343",
+        173,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1363,
+        1363,
+        "174.133",
+        "174.1.1363",
+        174,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1364,
+        1364,
+        "174.134",
+        "174.2.1364",
+        174,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1365,
+        1365,
+        "174.135",
+        "174.3.1365",
+        174,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1366,
+        1366,
+        "174.136",
+        "174.4.1366",
+        174,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1367,
+        1367,
+        "175.137",
+        "175.1.1367",
+        175,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1368,
+        1368,
+        "175.138",
+        "175.2.1368",
+        175,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1369,
+        1369,
+        "175.139",
+        "175.3.1369",
+        175,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1370,
+        1370,
+        "175.140",
+        "175.4.1370",
+        175,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1371,
+        1371,
+        "175.141",
+        "175.5.1371",
+        175,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1372,
+        1372,
+        "175.142",
+        "175.6.1372",
+        175,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1373,
+        1374,
+        "176.143",
+        "176.1.1374",
+        176,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1374,
+        1375,
+        "176.144",
+        "176.2.1375",
+        176,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1375,
+        1376,
+        "176.145",
+        "176.3.1376",
+        176,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1376,
+        1377,
+        "176.146",
+        "176.4.1377",
+        176,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1377,
+        1378,
+        "176.147",
+        "176.5.1378",
+        176,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1378,
+        1373,
+        "176.148",
+        "175.7.1373",
+        176,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1379,
+        1379,
+        "177.149",
+        "177.1.1379",
+        177,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1380,
+        1380,
+        "177.150",
+        "177.2.1380",
+        177,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1381,
+        1381,
+        "177.151",
+        "177.3.1381",
+        177,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1382,
+        1382,
+        "177.152",
+        "177.4.1382",
+        177,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1383,
+        1383,
+        "177.153",
+        "177.5.1383",
+        177,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1384,
+        1384,
+        "177.154",
+        "177.6.1384",
+        177,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1385,
+        1386,
+        "178.155",
+        "178.1.1386",
+        178,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1386,
+        1387,
+        "178.156",
+        "178.2.1387",
+        178,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1387,
+        1388,
+        "178.157",
+        "178.3.1388",
+        178,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1388,
+        1389,
+        "178.158",
+        "178.4.1389",
+        178,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1389,
+        1390,
+        "178.159",
+        "178.5.1390",
+        178,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1390,
+        1401,
+        "178.160",
+        "180.6.1401",
+        178,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1391,
+        1391,
+        "179.161",
+        "179.1.1391",
+        179,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1392,
+        1392,
+        "179.162",
+        "179.2.1392",
+        179,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1393,
+        1393,
+        "179.163",
+        "179.3.1393",
+        179,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1394,
+        1394,
+        "179.164",
+        "179.4.1394",
+        179,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1395,
+        1395,
+        "179.165",
+        "179.5.1395",
+        179,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1396,
+        1409,
+        "179.166",
+        "181.7.1409",
+        179,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1397,
+        1396,
+        "180.167",
+        "180.1.1396",
+        180,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1398,
+        1397,
+        "180.168",
+        "180.2.1397",
+        180,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1399,
+        1398,
+        "180.169",
+        "180.3.1398",
+        180,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1400,
+        1399,
+        "180.170",
+        "180.4.1399",
+        180,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1401,
+        1400,
+        "180.171",
+        "180.5.1400",
+        180,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1402,
+        1408,
+        "180.172",
+        "181.6.1408",
+        180,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1403,
+        1403,
+        "181.173",
+        "181.1.1403",
+        181,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1404,
+        1404,
+        "181.174",
+        "181.2.1404",
+        181,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1405,
+        1405,
+        "181.175",
+        "181.3.1405",
+        181,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1406,
+        1406,
+        "181.176",
+        "181.4.1406",
+        181,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1407,
+        1407,
+        "181.177",
+        "181.5.1407",
+        181,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1408,
+        1402,
+        "181.178",
+        "180.7.1402",
+        181,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1409,
+        1410,
+        "182.179",
+        "182.1.1410",
+        182,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1410,
+        1411,
+        "182.180",
+        "182.2.1411",
+        182,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1411,
+        1412,
+        "182.181",
+        "182.3.1412",
+        182,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1412,
+        1413,
+        "182.182",
+        "182.4.1413",
+        182,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1413,
+        1414,
+        "182.183",
+        "182.5.1414",
+        182,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1414,
+        1385,
+        "182.184",
+        "177.7.1385",
+        182,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1415,
+        1415,
+        "183.185",
+        "183.1.1415",
+        183,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1416,
+        1416,
+        "183.186",
+        "183.2.1416",
+        183,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1417,
+        1417,
+        "183.187",
+        "183.3.1417",
+        183,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1418,
+        1418,
+        "183.188",
+        "183.4.1418",
+        183,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1419,
+        1419,
+        "183.189",
+        "183.5.1419",
+        183,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1420,
+        1420,
+        "183.190",
+        "183.6.1420",
+        183,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1421,
+        1424,
+        "184.191",
+        "184.1.1424",
+        184,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1422,
+        1425,
+        "184.192",
+        "184.2.1425",
+        184,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1423,
+        1426,
+        "184.193",
+        "184.3.1426",
+        184,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1424,
+        1427,
+        "184.194",
+        "184.4.1427",
+        184,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1425,
+        1428,
+        "184.195",
+        "184.5.1428",
+        184,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1426,
+        1423,
+        "184.196",
+        "183.9.1423",
+        184,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1427,
+        1429,
+        "185.197",
+        "185.1.1429",
+        185,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1428,
+        1430,
+        "185.198",
+        "185.2.1430",
+        185,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1429,
+        1431,
+        "185.199",
+        "185.3.1431",
+        185,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1430,
+        1432,
+        "185.200",
+        "185.4.1432",
+        185,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1431,
+        1433,
+        "185.201",
+        "185.5.1433",
+        185,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1432,
+        1421,
+        "185.202",
+        "183.7.1421",
+        185,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1433,
+        1434,
+        "186.203",
+        "186.1.1434",
+        186,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1434,
+        1435,
+        "186.204",
+        "186.2.1435",
+        186,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1435,
+        1436,
+        "186.205",
+        "186.3.1436",
+        186,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1436,
+        1437,
+        "186.206",
+        "186.4.1437",
+        186,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1437,
+        1438,
+        "186.207",
+        "186.5.1438",
+        186,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1438,
+        1422,
+        "186.208",
+        "183.8.1422",
+        186,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1439,
+        1439,
+        "187.209",
+        "187.1.1439",
+        187,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1440,
+        1440,
+        "187.210",
+        "187.2.1440",
+        187,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1441,
+        1441,
+        "187.211",
+        "187.3.1441",
+        187,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1442,
+        1442,
+        "187.212",
+        "187.4.1442",
+        187,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1443,
+        1443,
+        "187.213",
+        "187.5.1443",
+        187,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1444,
+        1444,
+        "187.214",
+        "187.6.1444",
+        187,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1445,
+        1446,
+        "188.215",
+        "188.1.1446",
+        188,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1446,
+        1447,
+        "188.216",
+        "188.2.1447",
+        188,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1447,
+        1448,
+        "188.217",
+        "188.3.1448",
+        188,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1448,
+        1449,
+        "188.218",
+        "188.4.1449",
+        188,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1449,
+        1450,
+        "188.219",
+        "188.5.1450",
+        188,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1450,
+        1445,
+        "188.220",
+        "187.7.1445",
+        188,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1451,
+        1451,
+        "189.221",
+        "189.1.1451",
+        189,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1452,
+        1452,
+        "189.222",
+        "189.2.1452",
+        189,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1453,
+        1453,
+        "189.223",
+        "189.3.1453",
+        189,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1454,
+        1454,
+        "189.224",
+        "189.4.1454",
+        189,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1455,
+        1455,
+        "189.225",
+        "189.5.1455",
+        189,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1456,
+        1456,
+        "189.226",
+        "189.6.1456",
+        189,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1457,
+        1458,
+        "190.227",
+        "190.1.1458",
+        190,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1458,
+        1459,
+        "190.228",
+        "190.2.1459",
+        190,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1459,
+        1460,
+        "190.229",
+        "190.3.1460",
+        190,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1460,
+        1461,
+        "190.230",
+        "190.4.1461",
+        190,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1461,
+        1462,
+        "190.231",
+        "190.5.1462",
+        190,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1462,
+        1457,
+        "190.232",
+        "189.7.1457",
+        190,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1463,
+        1463,
+        "191.233",
+        "191.1.1463",
+        191,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1464,
+        1464,
+        "191.234",
+        "191.2.1464",
+        191,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1465,
+        1465,
+        "191.235",
+        "191.3.1465",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1466,
+        1466,
+        "191.236",
+        "191.4.1466",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1467,
+        1467,
+        "191.237",
+        "191.5.1467",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1468,
+        1468,
+        "191.238",
+        "191.6.1468",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1469,
+        1469,
+        "191.239",
+        "191.7.1469",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1470,
+        1470,
+        "191.240",
+        "191.8.1470",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1471,
+        1471,
+        "191.241",
+        "191.9.1471",
+        191,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1472,
+        1472,
+        "191.242",
+        "191.10.1472",
+        191,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1473,
+        1476,
+        "192.243",
+        "192.1.1476",
+        192,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1474,
+        1477,
+        "192.244",
+        "192.2.1477",
+        192,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1475,
+        1478,
+        "192.245",
+        "192.3.1478",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1476,
+        1479,
+        "192.246",
+        "192.4.1479",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1477,
+        1480,
+        "192.247",
+        "192.5.1480",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1478,
+        1481,
+        "192.248",
+        "192.6.1481",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1479,
+        1482,
+        "192.249",
+        "192.7.1482",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1480,
+        1483,
+        "192.250",
+        "192.8.1483",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1481,
+        1484,
+        "192.251",
+        "192.9.1484",
+        192,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1482,
+        1475,
+        "192.252",
+        "191.13.1475",
+        192,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1483,
+        1485,
+        "193.253",
+        "193.1.1485",
+        193,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1484,
+        1486,
+        "193.254",
+        "193.2.1486",
+        193,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1485,
+        1487,
+        "193.255",
+        "193.3.1487",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1486,
+        1488,
+        "193.256",
+        "193.4.1488",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1487,
+        1489,
+        "193.257",
+        "193.5.1489",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1488,
+        1490,
+        "193.258",
+        "193.6.1490",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1489,
+        1491,
+        "193.259",
+        "193.7.1491",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1490,
+        1492,
+        "193.260",
+        "193.8.1492",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1491,
+        1493,
+        "193.261",
+        "193.9.1493",
+        193,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1492,
+        1473,
+        "193.262",
+        "191.11.1473",
+        193,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1493,
+        1494,
+        "194.263",
+        "194.1.1494",
+        194,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1494,
+        1495,
+        "194.264",
+        "194.2.1495",
+        194,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1495,
+        1496,
+        "194.265",
+        "194.3.1496",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1496,
+        1497,
+        "194.266",
+        "194.4.1497",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1497,
+        1498,
+        "194.267",
+        "194.5.1498",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1498,
+        1499,
+        "194.268",
+        "194.6.1499",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1499,
+        1500,
+        "194.269",
+        "194.7.1500",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1500,
+        1501,
+        "194.270",
+        "194.8.1501",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1501,
+        1502,
+        "194.271",
+        "194.9.1502",
+        194,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1502,
+        1474,
+        "194.272",
+        "191.12.1474",
+        194,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(1503, 1503, "195.1", "195.1.1503", 195, ConstructType::Type1),
+    MagneticSpaceGroupType::new(1504, 1504, "195.2", "195.2.1504", 195, ConstructType::Type2),
+    MagneticSpaceGroupType::new(1505, 1510, "195.3", "197.3.1510", 195, ConstructType::Type4),
+    MagneticSpaceGroupType::new(1506, 1506, "196.4", "196.1.1506", 196, ConstructType::Type1),
+    MagneticSpaceGroupType::new(1507, 1507, "196.5", "196.2.1507", 196, ConstructType::Type2),
+    MagneticSpaceGroupType::new(1508, 1505, "196.6", "195.3.1505", 196, ConstructType::Type4),
+    MagneticSpaceGroupType::new(1509, 1508, "197.7", "197.1.1508", 197, ConstructType::Type1),
+    MagneticSpaceGroupType::new(1510, 1509, "197.8", "197.2.1509", 197, ConstructType::Type2),
+    MagneticSpaceGroupType::new(1511, 1511, "198.9", "198.1.1511", 198, ConstructType::Type1),
+    MagneticSpaceGroupType::new(
+        1512,
+        1512,
+        "198.10",
+        "198.2.1512",
+        198,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1513,
+        1515,
+        "198.11",
+        "199.3.1515",
+        198,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1514,
+        1513,
+        "199.12",
+        "199.1.1513",
+        199,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1515,
+        1514,
+        "199.13",
+        "199.2.1514",
+        199,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1516,
+        1516,
+        "200.14",
+        "200.1.1516",
+        200,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1517,
+        1517,
+        "200.15",
+        "200.2.1517",
+        200,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1518,
+        1518,
+        "200.16",
+        "200.3.1518",
+        200,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1519,
+        1533,
+        "200.17",
+        "204.4.1533",
+        200,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1520,
+        1520,
+        "201.18",
+        "201.1.1520",
+        201,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1521,
+        1521,
+        "201.19",
+        "201.2.1521",
+        201,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1522,
+        1522,
+        "201.20",
+        "201.3.1522",
+        201,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1523,
+        1534,
+        "201.21",
+        "204.5.1534",
+        201,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1524,
+        1524,
+        "202.22",
+        "202.1.1524",
+        202,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1525,
+        1525,
+        "202.23",
+        "202.2.1525",
+        202,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1526,
+        1526,
+        "202.24",
+        "202.3.1526",
+        202,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1527,
+        1519,
+        "202.25",
+        "200.4.1519",
+        202,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1528,
+        1527,
+        "203.26",
+        "203.1.1527",
+        203,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1529,
+        1528,
+        "203.27",
+        "203.2.1528",
+        203,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1530,
+        1529,
+        "203.28",
+        "203.3.1529",
+        203,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1531,
+        1523,
+        "203.29",
+        "201.4.1523",
+        203,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1532,
+        1530,
+        "204.30",
+        "204.1.1530",
+        204,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1533,
+        1531,
+        "204.31",
+        "204.2.1531",
+        204,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1534,
+        1532,
+        "204.32",
+        "204.3.1532",
+        204,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1535,
+        1535,
+        "205.33",
+        "205.1.1535",
+        205,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1536,
+        1536,
+        "205.34",
+        "205.2.1536",
+        205,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1537,
+        1537,
+        "205.35",
+        "205.3.1537",
+        205,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1538,
+        1541,
+        "205.36",
+        "206.4.1541",
+        205,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1539,
+        1538,
+        "206.37",
+        "206.1.1538",
+        206,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1540,
+        1539,
+        "206.38",
+        "206.2.1539",
+        206,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1541,
+        1540,
+        "206.39",
+        "206.3.1540",
+        206,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1542,
+        1542,
+        "207.40",
+        "207.1.1542",
+        207,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1543,
+        1543,
+        "207.41",
+        "207.2.1543",
+        207,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1544,
+        1544,
+        "207.42",
+        "207.3.1544",
+        207,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1545,
+        1559,
+        "207.43",
+        "211.4.1559",
+        207,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1546,
+        1546,
+        "208.44",
+        "208.1.1546",
+        208,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1547,
+        1547,
+        "208.45",
+        "208.2.1547",
+        208,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1548,
+        1548,
+        "208.46",
+        "208.3.1548",
+        208,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1549,
+        1560,
+        "208.47",
+        "211.5.1560",
+        208,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1550,
+        1550,
+        "209.48",
+        "209.1.1550",
+        209,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1551,
+        1551,
+        "209.49",
+        "209.2.1551",
+        209,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1552,
+        1552,
+        "209.50",
+        "209.3.1552",
+        209,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1553,
+        1545,
+        "209.51",
+        "207.4.1545",
+        209,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1554,
+        1553,
+        "210.52",
+        "210.1.1553",
+        210,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1555,
+        1554,
+        "210.53",
+        "210.2.1554",
+        210,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1556,
+        1555,
+        "210.54",
+        "210.3.1555",
+        210,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1557,
+        1549,
+        "210.55",
+        "208.4.1549",
+        210,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1558,
+        1556,
+        "211.56",
+        "211.1.1556",
+        211,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1559,
+        1557,
+        "211.57",
+        "211.2.1557",
+        211,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1560,
+        1558,
+        "211.58",
+        "211.3.1558",
+        211,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1561,
+        1561,
+        "212.59",
+        "212.1.1561",
+        212,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1562,
+        1562,
+        "212.60",
+        "212.2.1562",
+        212,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1563,
+        1563,
+        "212.61",
+        "212.3.1563",
+        212,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1564,
+        1570,
+        "212.62",
+        "214.4.1570",
+        212,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1565,
+        1564,
+        "213.63",
+        "213.1.1564",
+        213,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1566,
+        1565,
+        "213.64",
+        "213.2.1565",
+        213,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1567,
+        1566,
+        "213.65",
+        "213.3.1566",
+        213,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1568,
+        1571,
+        "213.66",
+        "214.5.1571",
+        213,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1569,
+        1567,
+        "214.67",
+        "214.1.1567",
+        214,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1570,
+        1568,
+        "214.68",
+        "214.2.1568",
+        214,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1571,
+        1569,
+        "214.69",
+        "214.3.1569",
+        214,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1572,
+        1572,
+        "215.70",
+        "215.1.1572",
+        215,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1573,
+        1573,
+        "215.71",
+        "215.2.1573",
+        215,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1574,
+        1574,
+        "215.72",
+        "215.3.1574",
+        215,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1575,
+        1583,
+        "215.73",
+        "217.4.1583",
+        215,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1576,
+        1577,
+        "216.74",
+        "216.1.1577",
+        216,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1577,
+        1578,
+        "216.75",
+        "216.2.1578",
+        216,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1578,
+        1579,
+        "216.76",
+        "216.3.1579",
+        216,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1579,
+        1575,
+        "216.77",
+        "215.4.1575",
+        216,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1580,
+        1580,
+        "217.78",
+        "217.1.1580",
+        217,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1581,
+        1581,
+        "217.79",
+        "217.2.1581",
+        217,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1582,
+        1582,
+        "217.80",
+        "217.3.1582",
+        217,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1583,
+        1585,
+        "218.81",
+        "218.1.1585",
+        218,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1584,
+        1586,
+        "218.82",
+        "218.2.1586",
+        218,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1585,
+        1587,
+        "218.83",
+        "218.3.1587",
+        218,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1586,
+        1584,
+        "218.84",
+        "217.5.1584",
+        218,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1587,
+        1588,
+        "219.85",
+        "219.1.1588",
+        219,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1588,
+        1589,
+        "219.86",
+        "219.2.1589",
+        219,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1589,
+        1590,
+        "219.87",
+        "219.3.1590",
+        219,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1590,
+        1576,
+        "219.88",
+        "215.5.1576",
+        219,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1591,
+        1591,
+        "220.89",
+        "220.1.1591",
+        220,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1592,
+        1592,
+        "220.90",
+        "220.2.1592",
+        220,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1593,
+        1593,
+        "220.91",
+        "220.3.1593",
+        220,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1594,
+        1594,
+        "221.92",
+        "221.1.1594",
+        221,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1595,
+        1595,
+        "221.93",
+        "221.2.1595",
+        221,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1596,
+        1596,
+        "221.94",
+        "221.3.1596",
+        221,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1597,
+        1597,
+        "221.95",
+        "221.4.1597",
+        221,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1598,
+        1598,
+        "221.96",
+        "221.5.1598",
+        221,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1599,
+        1643,
+        "221.97",
+        "229.6.1643",
+        221,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1600,
+        1601,
+        "222.98",
+        "222.1.1601",
+        222,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1601,
+        1602,
+        "222.99",
+        "222.2.1602",
+        222,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1602,
+        1603,
+        "222.100",
+        "222.3.1603",
+        222,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1603,
+        1604,
+        "222.101",
+        "222.4.1604",
+        222,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1604,
+        1605,
+        "222.102",
+        "222.5.1605",
+        222,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1605,
+        1646,
+        "222.103",
+        "229.9.1646",
+        222,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1606,
+        1606,
+        "223.104",
+        "223.1.1606",
+        223,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1607,
+        1607,
+        "223.105",
+        "223.2.1607",
+        223,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1608,
+        1608,
+        "223.106",
+        "223.3.1608",
+        223,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1609,
+        1609,
+        "223.107",
+        "223.4.1609",
+        223,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1610,
+        1610,
+        "223.108",
+        "223.5.1610",
+        223,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1611,
+        1645,
+        "223.109",
+        "229.8.1645",
+        223,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1612,
+        1611,
+        "224.110",
+        "224.1.1611",
+        224,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1613,
+        1612,
+        "224.111",
+        "224.2.1612",
+        224,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1614,
+        1613,
+        "224.112",
+        "224.3.1613",
+        224,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1615,
+        1614,
+        "224.113",
+        "224.4.1614",
+        224,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1616,
+        1615,
+        "224.114",
+        "224.5.1615",
+        224,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1617,
+        1644,
+        "224.115",
+        "229.7.1644",
+        224,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1618,
+        1618,
+        "225.116",
+        "225.1.1618",
+        225,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1619,
+        1619,
+        "225.117",
+        "225.2.1619",
+        225,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1620,
+        1620,
+        "225.118",
+        "225.3.1620",
+        225,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1621,
+        1621,
+        "225.119",
+        "225.4.1621",
+        225,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1622,
+        1622,
+        "225.120",
+        "225.5.1622",
+        225,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1623,
+        1599,
+        "225.121",
+        "221.6.1599",
+        225,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1624,
+        1623,
+        "226.122",
+        "226.1.1623",
+        226,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1625,
+        1624,
+        "226.123",
+        "226.2.1624",
+        226,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1626,
+        1625,
+        "226.124",
+        "226.3.1625",
+        226,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1627,
+        1626,
+        "226.125",
+        "226.4.1626",
+        226,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1628,
+        1627,
+        "226.126",
+        "226.5.1627",
+        226,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1629,
+        1600,
+        "226.127",
+        "221.7.1600",
+        226,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1630,
+        1628,
+        "227.128",
+        "227.1.1628",
+        227,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1631,
+        1629,
+        "227.129",
+        "227.2.1629",
+        227,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1632,
+        1630,
+        "227.130",
+        "227.3.1630",
+        227,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1633,
+        1631,
+        "227.131",
+        "227.4.1631",
+        227,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1634,
+        1632,
+        "227.132",
+        "227.5.1632",
+        227,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1635,
+        1616,
+        "227.133",
+        "224.6.1616",
+        227,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1636,
+        1633,
+        "228.134",
+        "228.1.1633",
+        228,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1637,
+        1634,
+        "228.135",
+        "228.2.1634",
+        228,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1638,
+        1635,
+        "228.136",
+        "228.3.1635",
+        228,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1639,
+        1636,
+        "228.137",
+        "228.4.1636",
+        228,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1640,
+        1637,
+        "228.138",
+        "228.5.1637",
+        228,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1641,
+        1617,
+        "228.139",
+        "224.7.1617",
+        228,
+        ConstructType::Type4,
+    ),
+    MagneticSpaceGroupType::new(
+        1642,
+        1638,
+        "229.140",
+        "229.1.1638",
+        229,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1643,
+        1639,
+        "229.141",
+        "229.2.1639",
+        229,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1644,
+        1640,
+        "229.142",
+        "229.3.1640",
+        229,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1645,
+        1641,
+        "229.143",
+        "229.4.1641",
+        229,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1646,
+        1642,
+        "229.144",
+        "229.5.1642",
+        229,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1647,
+        1647,
+        "230.145",
+        "230.1.1647",
+        230,
+        ConstructType::Type1,
+    ),
+    MagneticSpaceGroupType::new(
+        1648,
+        1648,
+        "230.146",
+        "230.2.1648",
+        230,
+        ConstructType::Type2,
+    ),
+    MagneticSpaceGroupType::new(
+        1649,
+        1649,
+        "230.147",
+        "230.3.1649",
+        230,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1650,
+        1650,
+        "230.148",
+        "230.4.1650",
+        230,
+        ConstructType::Type3,
+    ),
+    MagneticSpaceGroupType::new(
+        1651,
+        1651,
+        "230.149",
+        "230.5.1651",
+        230,
+        ConstructType::Type3,
+    ),
+];
+
+#[derive(Debug)]
+pub struct MagneticHallSymbolEntry {
+    pub magnetic_hall_symbol: &'static str,
+    pub uni_number: UNINumber,
+}
+
+// const MAGNETIC_HALL_SYMBOL_DATABASE: [MagneticHallSymbolEntry; 1651]
+
+// smallest and largest UNI numbers for each Hall number
+// let hall_number_to_uni_numbers: HashMap<HallNumber, (UNINumber, UNINumber)>;
+
+// smallest and largest Hall numbers for XSG of each UNI number
+// let uni_number_to_xsg_hall_numbers: HashMap<UNINumber, (HallNumber, HallNumber)>;
diff --git a/scripts/magnetic_space_group_type.py b/scripts/magnetic_space_group_type.py
new file mode 100644
index 0000000..01cbd86
--- /dev/null
+++ b/scripts/magnetic_space_group_type.py
@@ -0,0 +1,95 @@
+import csv
+import re
+from pathlib import Path
+from typing import Any
+
+import click
+from ruamel.yaml import YAML
+
+MAX_BNS_NUMBER_LENGTH = 7
+MAX_OG_NUMBER_LENGTH = 11
+
+
+# hall_number -> bns_number -> magnetic Hall symbol
+def get_msg_table(path: Path) -> dict[str, dict[str, str]]:
+    # Load MSG for ITA standard settings
+    with open(path) as f:
+        all_datum = dict(YAML().load(f))
+    return all_datum
+
+
+def get_msg_numbers(path: Path) -> list[dict[str, Any]]:
+    all_datum = []
+    with open(path) as f:
+        reader = csv.reader(f, delimiter=",")
+        next(reader)  # skip header
+        for row in reader:
+            if len(row) == 0:
+                break
+
+            litvin_number, bns_number, og_number, uni_number = row
+            all_datum.append(
+                (
+                    int(litvin_number),
+                    bns_number,
+                    og_number,
+                    int(uni_number),
+                )
+            )
+
+    assert len(all_datum) == 1651
+    return all_datum
+
+
+def get_type_of_msg(hall_symbol: str) -> int:
+    # awkward classification...
+    if "'" not in hall_symbol:
+        return 1  # type-I
+    if " 1'" in hall_symbol:
+        return 2  # type-II
+    if len(re.findall(r" 1[a-z]+'", hall_symbol)) > 0:
+        return 4  # type-IV
+    return 3  # type-III
+
+
+@click.command()
+@click.argument("spglib_dir", type=str)
+def main(spglib_dir: str):
+    msg_dataset_dir = Path(spglib_dir) / "database" / "msg"
+    msg_dataset = get_msg_numbers(msg_dataset_dir / "msg_numbers.csv")
+
+    msg_table = get_msg_table(msg_dataset_dir / "magnetic_hall_symbols.yaml")
+
+    bns_to_mhall = {}
+    for dct in msg_table.values():
+        bns_to_mhall.update(dct)
+
+    contents = []
+    construct_type_counts = {t: 0 for t in [1, 2, 3, 4]}
+    for i, (litvin_number, bns_number, og_number, uni_number) in enumerate(msg_dataset):
+        assert uni_number == i + 1
+        assert 0 < len(bns_number) <= MAX_BNS_NUMBER_LENGTH
+        assert 0 < len(og_number) <= MAX_OG_NUMBER_LENGTH
+
+        magnetic_hall_symbol = bns_to_mhall[bns_number]
+        construct_type = get_type_of_msg(magnetic_hall_symbol)
+        xsg_number = int(bns_number.split(".")[0])
+        construct_type_counts[construct_type] += 1
+
+        line = f'MagneticSpaceGroupType::new({uni_number}, {litvin_number}, "{bns_number}", "{og_number}", {xsg_number}, ConstructType::Type{construct_type}),'  # noqa: E501
+        contents.append(line)
+
+    # Sanity check
+    assert construct_type_counts[1] == 230
+    assert construct_type_counts[2] == 230
+    assert construct_type_counts[3] == 674
+    assert construct_type_counts[4] == 517
+
+    print("const MAGNETIC_SPACE_GROUP_TYPES: [MagneticSpaceGroupType; 1651] = [")
+    for line in contents:
+        print(f"    {line}")
+    print("];")
+
+
+if __name__ == "__main__":
+    main()

From 080d6b37f13e6c13ef176b0f71129ae9698ebee7 Mon Sep 17 00:00:00 2001
From: lan496 <kshinohara0508@gmail.com>
Date: Mon, 30 Dec 2024 16:51:05 +0900
Subject: [PATCH 4/4] magnetic hall symbol DB

---
 moyo/src/data.rs                              |    1 +
 .../src/data/magnetic_hall_symbol_database.rs | 1705 +++++++++++++++++
 moyo/src/data/magnetic_space_group.rs         |   14 -
 scripts/magnetic_hall_symbol_database.py      |   31 +
 4 files changed, 1737 insertions(+), 14 deletions(-)
 create mode 100644 moyo/src/data/magnetic_hall_symbol_database.rs
 create mode 100644 scripts/magnetic_hall_symbol_database.py

diff --git a/moyo/src/data.rs b/moyo/src/data.rs
index 167a95c..6985a92 100644
--- a/moyo/src/data.rs
+++ b/moyo/src/data.rs
@@ -3,6 +3,7 @@ mod centering;
 mod classification;
 mod hall_symbol;
 mod hall_symbol_database;
+mod magnetic_hall_symbol_database;
 mod magnetic_space_group;
 mod point_group;
 mod setting;
diff --git a/moyo/src/data/magnetic_hall_symbol_database.rs b/moyo/src/data/magnetic_hall_symbol_database.rs
new file mode 100644
index 0000000..32b8dd3
--- /dev/null
+++ b/moyo/src/data/magnetic_hall_symbol_database.rs
@@ -0,0 +1,1705 @@
+use super::magnetic_space_group::UNINumber;
+
+#[derive(Debug, Clone)]
+pub struct MagneticHallSymbolEntry {
+    pub magnetic_hall_symbol: &'static str,
+    pub uni_number: UNINumber,
+}
+
+impl MagneticHallSymbolEntry {
+    const fn new(magnetic_hall_symbol: &'static str, uni_number: UNINumber) -> Self {
+        Self {
+            magnetic_hall_symbol,
+            uni_number,
+        }
+    }
+}
+
+// TODO:
+// smallest and largest UNI numbers for each Hall number
+// let hall_number_to_uni_numbers: HashMap<HallNumber, (UNINumber, UNINumber)>;
+
+// TODO:
+// smallest and largest Hall numbers for XSG of each UNI number
+// let uni_number_to_xsg_hall_numbers: HashMap<UNINumber, (HallNumber, HallNumber)>;
+
+pub fn magnetic_hall_symbol_entry(uni_number: UNINumber) -> Option<MagneticHallSymbolEntry> {
+    MAGNETIC_HALL_SYMBOL_DATABASE
+        .get((uni_number - 1) as usize)
+        .cloned()
+}
+
+const MAGNETIC_HALL_SYMBOL_DATABASE: [MagneticHallSymbolEntry; 1651] = [
+    MagneticHallSymbolEntry::new("P 1", 1),
+    MagneticHallSymbolEntry::new("P 1 1'", 2),
+    MagneticHallSymbolEntry::new("P 1 1c'", 3),
+    MagneticHallSymbolEntry::new("-P 1", 4),
+    MagneticHallSymbolEntry::new("-P 1 1'", 5),
+    MagneticHallSymbolEntry::new("P -1'", 6),
+    MagneticHallSymbolEntry::new("-P 1 1c'", 7),
+    MagneticHallSymbolEntry::new("P 2y", 8),
+    MagneticHallSymbolEntry::new("P 2y 1'", 9),
+    MagneticHallSymbolEntry::new("P 2y'", 10),
+    MagneticHallSymbolEntry::new("P 2y 1a'", 11),
+    MagneticHallSymbolEntry::new("P 2y 1b'", 12),
+    MagneticHallSymbolEntry::new("P 2y 1ab'", 13),
+    MagneticHallSymbolEntry::new("P 2yb", 14),
+    MagneticHallSymbolEntry::new("P 2yb 1'", 15),
+    MagneticHallSymbolEntry::new("P 2yb'", 16),
+    MagneticHallSymbolEntry::new("P 2yb 1a'", 17),
+    MagneticHallSymbolEntry::new("P 2yb 1b'", 18),
+    MagneticHallSymbolEntry::new("P 2yb 1ab'", 19),
+    MagneticHallSymbolEntry::new("C 2y", 20),
+    MagneticHallSymbolEntry::new("C 2y 1'", 21),
+    MagneticHallSymbolEntry::new("C 2y'", 22),
+    MagneticHallSymbolEntry::new("C 2y 1c'", 23),
+    MagneticHallSymbolEntry::new("C 2y 1a'", 24),
+    MagneticHallSymbolEntry::new("P -2y", 25),
+    MagneticHallSymbolEntry::new("P -2y 1'", 26),
+    MagneticHallSymbolEntry::new("P -2y'", 27),
+    MagneticHallSymbolEntry::new("P -2y 1a'", 28),
+    MagneticHallSymbolEntry::new("P -2y 1b'", 29),
+    MagneticHallSymbolEntry::new("P -2y 1ab'", 30),
+    MagneticHallSymbolEntry::new("P -2yc", 31),
+    MagneticHallSymbolEntry::new("P -2yc 1'", 32),
+    MagneticHallSymbolEntry::new("P -2yc'", 33),
+    MagneticHallSymbolEntry::new("P -2yc 1a'", 34),
+    MagneticHallSymbolEntry::new("P -2yc 1c'", 35),
+    MagneticHallSymbolEntry::new("P -2yc 1b'", 36),
+    MagneticHallSymbolEntry::new("P -2yc 1ab'", 37),
+    MagneticHallSymbolEntry::new("P -2yc 1bc'", 38),
+    MagneticHallSymbolEntry::new("C -2y", 39),
+    MagneticHallSymbolEntry::new("C -2y 1'", 40),
+    MagneticHallSymbolEntry::new("C -2y'", 41),
+    MagneticHallSymbolEntry::new("C -2y 1c'", 42),
+    MagneticHallSymbolEntry::new("C -2y 1a'", 43),
+    MagneticHallSymbolEntry::new("C -2yc", 44),
+    MagneticHallSymbolEntry::new("C -2yc 1'", 45),
+    MagneticHallSymbolEntry::new("C -2yc'", 46),
+    MagneticHallSymbolEntry::new("C -2yc 1c'", 47),
+    MagneticHallSymbolEntry::new("C -2yc 1a'", 48),
+    MagneticHallSymbolEntry::new("-P 2y", 49),
+    MagneticHallSymbolEntry::new("-P 2y 1'", 50),
+    MagneticHallSymbolEntry::new("P 2y' -1'", 51),
+    MagneticHallSymbolEntry::new("P 2y -1'", 52),
+    MagneticHallSymbolEntry::new("-P 2y'", 53),
+    MagneticHallSymbolEntry::new("-P 2y 1a'", 54),
+    MagneticHallSymbolEntry::new("-P 2y 1b'", 55),
+    MagneticHallSymbolEntry::new("-P 2y 1ab'", 56),
+    MagneticHallSymbolEntry::new("-P 2yb", 57),
+    MagneticHallSymbolEntry::new("-P 2yb 1'", 58),
+    MagneticHallSymbolEntry::new("P 2yb' -1'", 59),
+    MagneticHallSymbolEntry::new("P 2yb -1'", 60),
+    MagneticHallSymbolEntry::new("-P 2yb'", 61),
+    MagneticHallSymbolEntry::new("-P 2yb 1a'", 62),
+    MagneticHallSymbolEntry::new("-P 2yb 1b'", 63),
+    MagneticHallSymbolEntry::new("-P 2yb 1ab'", 64),
+    MagneticHallSymbolEntry::new("-C 2y", 65),
+    MagneticHallSymbolEntry::new("-C 2y 1'", 66),
+    MagneticHallSymbolEntry::new("C 2y' -1'", 67),
+    MagneticHallSymbolEntry::new("C 2y -1'", 68),
+    MagneticHallSymbolEntry::new("-C 2y'", 69),
+    MagneticHallSymbolEntry::new("-C 2y 1c'", 70),
+    MagneticHallSymbolEntry::new("-C 2y 1a'", 71),
+    MagneticHallSymbolEntry::new("-P 2yc", 72),
+    MagneticHallSymbolEntry::new("-P 2yc 1'", 73),
+    MagneticHallSymbolEntry::new("P 2yc' -1'", 74),
+    MagneticHallSymbolEntry::new("P 2yc -1'", 75),
+    MagneticHallSymbolEntry::new("-P 2yc'", 76),
+    MagneticHallSymbolEntry::new("-P 2yc 1a'", 77),
+    MagneticHallSymbolEntry::new("-P 2yc 1b'", 78),
+    MagneticHallSymbolEntry::new("-P 2yc 1c'", 79),
+    MagneticHallSymbolEntry::new("-P 2yc 1bc'", 80),
+    MagneticHallSymbolEntry::new("-P 2yc 1ab'", 81),
+    MagneticHallSymbolEntry::new("-P 2ybc", 82),
+    MagneticHallSymbolEntry::new("-P 2ybc 1'", 83),
+    MagneticHallSymbolEntry::new("P 2ybc' -1'", 84),
+    MagneticHallSymbolEntry::new("P 2ybc -1'", 85),
+    MagneticHallSymbolEntry::new("-P 2ybc'", 86),
+    MagneticHallSymbolEntry::new("-P 2ybc 1a'", 87),
+    MagneticHallSymbolEntry::new("-P 2ybc 1b'", 88),
+    MagneticHallSymbolEntry::new("-P 2ybc 1c'", 89),
+    MagneticHallSymbolEntry::new("-P 2ybc 1bc'", 90),
+    MagneticHallSymbolEntry::new("-P 2ybc 1ab'", 91),
+    MagneticHallSymbolEntry::new("-C 2yc", 92),
+    MagneticHallSymbolEntry::new("-C 2yc 1'", 93),
+    MagneticHallSymbolEntry::new("C 2yc' -1'", 94),
+    MagneticHallSymbolEntry::new("C 2yc -1'", 95),
+    MagneticHallSymbolEntry::new("-C 2yc'", 96),
+    MagneticHallSymbolEntry::new("-C 2yc 1c'", 97),
+    MagneticHallSymbolEntry::new("-C 2yc 1a'", 98),
+    MagneticHallSymbolEntry::new("P 2 2", 99),
+    MagneticHallSymbolEntry::new("P 2 2 1'", 100),
+    MagneticHallSymbolEntry::new("P 2' 2'", 101),
+    MagneticHallSymbolEntry::new("P 2 2 1a'", 102),
+    MagneticHallSymbolEntry::new("P 2 2 1ab'", 103),
+    MagneticHallSymbolEntry::new("P 2 2 1abc'", 104),
+    MagneticHallSymbolEntry::new("P 2c 2", 105),
+    MagneticHallSymbolEntry::new("P 2c 2 1'", 106),
+    MagneticHallSymbolEntry::new("P 2c 2'", 107),
+    MagneticHallSymbolEntry::new("P 2c' 2", 108),
+    MagneticHallSymbolEntry::new("P 2c 2 1a'", 109),
+    MagneticHallSymbolEntry::new("P 2c 2 1c'", 110),
+    MagneticHallSymbolEntry::new("P 2c 2 1ac'", 111),
+    MagneticHallSymbolEntry::new("P 2c 2 1ab'", 112),
+    MagneticHallSymbolEntry::new("P 2c 2 1abc'", 113),
+    MagneticHallSymbolEntry::new("P 2 2ab", 114),
+    MagneticHallSymbolEntry::new("P 2 2ab 1'", 115),
+    MagneticHallSymbolEntry::new("P 2 2ab'", 116),
+    MagneticHallSymbolEntry::new("P 2' 2ab", 117),
+    MagneticHallSymbolEntry::new("P 2 2ab 1b'", 118),
+    MagneticHallSymbolEntry::new("P 2 2ab 1c'", 119),
+    MagneticHallSymbolEntry::new("P 2 2ab 1ac'", 120),
+    MagneticHallSymbolEntry::new("P 2 2ab 1ab'", 121),
+    MagneticHallSymbolEntry::new("P 2 2ab 1abc'", 122),
+    MagneticHallSymbolEntry::new("P 2ac 2ab", 123),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 1'", 124),
+    MagneticHallSymbolEntry::new("P 2ac 2ab'", 125),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 1c'", 126),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 1ab'", 127),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 1abc'", 128),
+    MagneticHallSymbolEntry::new("C 2c 2", 129),
+    MagneticHallSymbolEntry::new("C 2c 2 1'", 130),
+    MagneticHallSymbolEntry::new("C 2c 2'", 131),
+    MagneticHallSymbolEntry::new("C 2c' 2", 132),
+    MagneticHallSymbolEntry::new("C 2c 2 1c'", 133),
+    MagneticHallSymbolEntry::new("C 2c 2 1a'", 134),
+    MagneticHallSymbolEntry::new("C 2c 2 1bc'", 135),
+    MagneticHallSymbolEntry::new("C 2 2", 136),
+    MagneticHallSymbolEntry::new("C 2 2 1'", 137),
+    MagneticHallSymbolEntry::new("C 2 2'", 138),
+    MagneticHallSymbolEntry::new("C 2' 2", 139),
+    MagneticHallSymbolEntry::new("C 2 2 1c'", 140),
+    MagneticHallSymbolEntry::new("C 2 2 1a'", 141),
+    MagneticHallSymbolEntry::new("C 2 2 1bc'", 142),
+    MagneticHallSymbolEntry::new("F 2 2", 143),
+    MagneticHallSymbolEntry::new("F 2 2 1'", 144),
+    MagneticHallSymbolEntry::new("F 2 2'", 145),
+    MagneticHallSymbolEntry::new("F 2 2 1abc'", 146),
+    MagneticHallSymbolEntry::new("I 2 2", 147),
+    MagneticHallSymbolEntry::new("I 2 2 1'", 148),
+    MagneticHallSymbolEntry::new("I 2 2'", 149),
+    MagneticHallSymbolEntry::new("I 2 2 1c'", 150),
+    MagneticHallSymbolEntry::new("I 2b 2c", 151),
+    MagneticHallSymbolEntry::new("I 2b 2c 1'", 152),
+    MagneticHallSymbolEntry::new("I 2b 2c'", 153),
+    MagneticHallSymbolEntry::new("I 2b 2c 1c'", 154),
+    MagneticHallSymbolEntry::new("P 2 -2", 155),
+    MagneticHallSymbolEntry::new("P 2 -2 1'", 156),
+    MagneticHallSymbolEntry::new("P 2' -2'", 157),
+    MagneticHallSymbolEntry::new("P 2 -2'", 158),
+    MagneticHallSymbolEntry::new("P 2 -2 1c'", 159),
+    MagneticHallSymbolEntry::new("P 2 -2 1a'", 160),
+    MagneticHallSymbolEntry::new("P 2 -2 1ab'", 161),
+    MagneticHallSymbolEntry::new("P 2 -2 1bc'", 162),
+    MagneticHallSymbolEntry::new("P 2 -2 1abc'", 163),
+    MagneticHallSymbolEntry::new("P 2c -2", 164),
+    MagneticHallSymbolEntry::new("P 2c -2 1'", 165),
+    MagneticHallSymbolEntry::new("P 2c' -2'", 166),
+    MagneticHallSymbolEntry::new("P 2c' -2", 167),
+    MagneticHallSymbolEntry::new("P 2c -2'", 168),
+    MagneticHallSymbolEntry::new("P 2c -2 1a'", 169),
+    MagneticHallSymbolEntry::new("P 2c -2 1b'", 170),
+    MagneticHallSymbolEntry::new("P 2c -2 1c'", 171),
+    MagneticHallSymbolEntry::new("P 2c -2 1bc'", 172),
+    MagneticHallSymbolEntry::new("P 2c -2 1ac'", 173),
+    MagneticHallSymbolEntry::new("P 2c -2 1ab'", 174),
+    MagneticHallSymbolEntry::new("P 2c -2 1abc'", 175),
+    MagneticHallSymbolEntry::new("P 2 -2c", 176),
+    MagneticHallSymbolEntry::new("P 2 -2c 1'", 177),
+    MagneticHallSymbolEntry::new("P 2' -2c", 178),
+    MagneticHallSymbolEntry::new("P 2 -2c'", 179),
+    MagneticHallSymbolEntry::new("P 2 -2c 1c'", 180),
+    MagneticHallSymbolEntry::new("P 2 -2c 1a'", 181),
+    MagneticHallSymbolEntry::new("P 2 -2c 1ab'", 182),
+    MagneticHallSymbolEntry::new("P 2 -2c 1bc'", 183),
+    MagneticHallSymbolEntry::new("P 2 -2c 1abc'", 184),
+    MagneticHallSymbolEntry::new("P 2 -2a", 185),
+    MagneticHallSymbolEntry::new("P 2 -2a 1'", 186),
+    MagneticHallSymbolEntry::new("P 2' -2a'", 187),
+    MagneticHallSymbolEntry::new("P 2' -2a", 188),
+    MagneticHallSymbolEntry::new("P 2 -2a'", 189),
+    MagneticHallSymbolEntry::new("P 2 -2a 1a'", 190),
+    MagneticHallSymbolEntry::new("P 2 -2a 1b'", 191),
+    MagneticHallSymbolEntry::new("P 2 -2a 1c'", 192),
+    MagneticHallSymbolEntry::new("P 2 -2a 1bc'", 193),
+    MagneticHallSymbolEntry::new("P 2 -2a 1ac'", 194),
+    MagneticHallSymbolEntry::new("P 2 -2a 1ab'", 195),
+    MagneticHallSymbolEntry::new("P 2 -2a 1abc'", 196),
+    MagneticHallSymbolEntry::new("P 2c -2ac", 197),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1'", 198),
+    MagneticHallSymbolEntry::new("P 2c' -2ac'", 199),
+    MagneticHallSymbolEntry::new("P 2c' -2ac", 200),
+    MagneticHallSymbolEntry::new("P 2c -2ac'", 201),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1a'", 202),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1b'", 203),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1c'", 204),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1bc'", 205),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1ac'", 206),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1ab'", 207),
+    MagneticHallSymbolEntry::new("P 2c -2ac 1abc'", 208),
+    MagneticHallSymbolEntry::new("P 2 -2bc", 209),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1'", 210),
+    MagneticHallSymbolEntry::new("P 2' -2bc'", 211),
+    MagneticHallSymbolEntry::new("P 2' -2bc", 212),
+    MagneticHallSymbolEntry::new("P 2 -2bc'", 213),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1a'", 214),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1b'", 215),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1c'", 216),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1bc'", 217),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1ac'", 218),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1ab'", 219),
+    MagneticHallSymbolEntry::new("P 2 -2bc 1abc'", 220),
+    MagneticHallSymbolEntry::new("P 2ac -2", 221),
+    MagneticHallSymbolEntry::new("P 2ac -2 1'", 222),
+    MagneticHallSymbolEntry::new("P 2ac' -2'", 223),
+    MagneticHallSymbolEntry::new("P 2ac' -2", 224),
+    MagneticHallSymbolEntry::new("P 2ac -2'", 225),
+    MagneticHallSymbolEntry::new("P 2ac -2 1a'", 226),
+    MagneticHallSymbolEntry::new("P 2ac -2 1b'", 227),
+    MagneticHallSymbolEntry::new("P 2ac -2 1c'", 228),
+    MagneticHallSymbolEntry::new("P 2ac -2 1bc'", 229),
+    MagneticHallSymbolEntry::new("P 2ac -2 1ac'", 230),
+    MagneticHallSymbolEntry::new("P 2ac -2 1ab'", 231),
+    MagneticHallSymbolEntry::new("P 2ac -2 1abc'", 232),
+    MagneticHallSymbolEntry::new("P 2 -2ab", 233),
+    MagneticHallSymbolEntry::new("P 2 -2ab 1'", 234),
+    MagneticHallSymbolEntry::new("P 2' -2ab", 235),
+    MagneticHallSymbolEntry::new("P 2 -2ab'", 236),
+    MagneticHallSymbolEntry::new("P 2 -2ab 1c'", 237),
+    MagneticHallSymbolEntry::new("P 2 -2ab 1b'", 238),
+    MagneticHallSymbolEntry::new("P 2 -2ab 1ab'", 239),
+    MagneticHallSymbolEntry::new("P 2 -2ab 1bc'", 240),
+    MagneticHallSymbolEntry::new("P 2 -2ab 1abc'", 241),
+    MagneticHallSymbolEntry::new("P 2c -2n", 242),
+    MagneticHallSymbolEntry::new("P 2c -2n 1'", 243),
+    MagneticHallSymbolEntry::new("P 2c' -2n'", 244),
+    MagneticHallSymbolEntry::new("P 2c' -2n", 245),
+    MagneticHallSymbolEntry::new("P 2c -2n'", 246),
+    MagneticHallSymbolEntry::new("P 2c -2n 1a'", 247),
+    MagneticHallSymbolEntry::new("P 2c -2n 1b'", 248),
+    MagneticHallSymbolEntry::new("P 2c -2n 1c'", 249),
+    MagneticHallSymbolEntry::new("P 2c -2n 1bc'", 250),
+    MagneticHallSymbolEntry::new("P 2c -2n 1ac'", 251),
+    MagneticHallSymbolEntry::new("P 2c -2n 1ab'", 252),
+    MagneticHallSymbolEntry::new("P 2c -2n 1abc'", 253),
+    MagneticHallSymbolEntry::new("P 2 -2n", 254),
+    MagneticHallSymbolEntry::new("P 2 -2n 1'", 255),
+    MagneticHallSymbolEntry::new("P 2' -2n", 256),
+    MagneticHallSymbolEntry::new("P 2 -2n'", 257),
+    MagneticHallSymbolEntry::new("P 2 -2n 1a'", 258),
+    MagneticHallSymbolEntry::new("P 2 -2n 1c'", 259),
+    MagneticHallSymbolEntry::new("P 2 -2n 1bc'", 260),
+    MagneticHallSymbolEntry::new("P 2 -2n 1ab'", 261),
+    MagneticHallSymbolEntry::new("P 2 -2n 1abc'", 262),
+    MagneticHallSymbolEntry::new("C 2 -2", 263),
+    MagneticHallSymbolEntry::new("C 2 -2 1'", 264),
+    MagneticHallSymbolEntry::new("C 2' -2", 265),
+    MagneticHallSymbolEntry::new("C 2 -2'", 266),
+    MagneticHallSymbolEntry::new("C 2 -2 1c'", 267),
+    MagneticHallSymbolEntry::new("C 2 -2 1a'", 268),
+    MagneticHallSymbolEntry::new("C 2 -2 1bc'", 269),
+    MagneticHallSymbolEntry::new("C 2c -2", 270),
+    MagneticHallSymbolEntry::new("C 2c -2 1'", 271),
+    MagneticHallSymbolEntry::new("C 2c' -2'", 272),
+    MagneticHallSymbolEntry::new("C 2c' -2", 273),
+    MagneticHallSymbolEntry::new("C 2c -2'", 274),
+    MagneticHallSymbolEntry::new("C 2c -2 1c'", 275),
+    MagneticHallSymbolEntry::new("C 2c -2 1a'", 276),
+    MagneticHallSymbolEntry::new("C 2c -2 1bc'", 277),
+    MagneticHallSymbolEntry::new("C 2 -2c", 278),
+    MagneticHallSymbolEntry::new("C 2 -2c 1'", 279),
+    MagneticHallSymbolEntry::new("C 2' -2c", 280),
+    MagneticHallSymbolEntry::new("C 2 -2c'", 281),
+    MagneticHallSymbolEntry::new("C 2' -2c 1c'", 282),
+    MagneticHallSymbolEntry::new("C 2' -2c 1a'", 283),
+    MagneticHallSymbolEntry::new("C 2' -2c 1bc'", 284),
+    MagneticHallSymbolEntry::new("A 2 -2", 285),
+    MagneticHallSymbolEntry::new("A 2 -2 1'", 286),
+    MagneticHallSymbolEntry::new("A 2' -2'", 287),
+    MagneticHallSymbolEntry::new("A 2' -2", 288),
+    MagneticHallSymbolEntry::new("A 2 -2'", 289),
+    MagneticHallSymbolEntry::new("A 2 -2 1a'", 290),
+    MagneticHallSymbolEntry::new("A 2 -2 1b'", 291),
+    MagneticHallSymbolEntry::new("A 2 -2 1ac'", 292),
+    MagneticHallSymbolEntry::new("A 2 -2c", 293),
+    MagneticHallSymbolEntry::new("A 2 -2c 1'", 294),
+    MagneticHallSymbolEntry::new("A 2' -2c'", 295),
+    MagneticHallSymbolEntry::new("A 2' -2c", 296),
+    MagneticHallSymbolEntry::new("A 2 -2c'", 297),
+    MagneticHallSymbolEntry::new("A 2 -2c 1a'", 298),
+    MagneticHallSymbolEntry::new("A 2 -2c 1b'", 299),
+    MagneticHallSymbolEntry::new("A 2 -2c 1ac'", 300),
+    MagneticHallSymbolEntry::new("A 2 -2a", 301),
+    MagneticHallSymbolEntry::new("A 2 -2a 1'", 302),
+    MagneticHallSymbolEntry::new("A 2' -2a'", 303),
+    MagneticHallSymbolEntry::new("A 2' -2a", 304),
+    MagneticHallSymbolEntry::new("A 2 -2a'", 305),
+    MagneticHallSymbolEntry::new("A 2 -2a 1a'", 306),
+    MagneticHallSymbolEntry::new("A 2 -2a 1b'", 307),
+    MagneticHallSymbolEntry::new("A 2 -2a 1ac'", 308),
+    MagneticHallSymbolEntry::new("A 2 -2ac", 309),
+    MagneticHallSymbolEntry::new("A 2 -2ac 1'", 310),
+    MagneticHallSymbolEntry::new("A 2' -2ac'", 311),
+    MagneticHallSymbolEntry::new("A 2' -2ac", 312),
+    MagneticHallSymbolEntry::new("A 2 -2ac'", 313),
+    MagneticHallSymbolEntry::new("A 2 -2ac 1a'", 314),
+    MagneticHallSymbolEntry::new("A 2 -2ac 1b'", 315),
+    MagneticHallSymbolEntry::new("A 2 -2ac 1ac'", 316),
+    MagneticHallSymbolEntry::new("F 2 -2", 317),
+    MagneticHallSymbolEntry::new("F 2 -2 1'", 318),
+    MagneticHallSymbolEntry::new("F 2' -2", 319),
+    MagneticHallSymbolEntry::new("F 2 -2'", 320),
+    MagneticHallSymbolEntry::new("F 2 -2 1abc'", 321),
+    MagneticHallSymbolEntry::new("F 2 -2d", 322),
+    MagneticHallSymbolEntry::new("F 2 -2d 1'", 323),
+    MagneticHallSymbolEntry::new("F 2' -2d", 324),
+    MagneticHallSymbolEntry::new("F 2 -2d'", 325),
+    MagneticHallSymbolEntry::new("F 2 -2d 1abc'", 326),
+    MagneticHallSymbolEntry::new("I 2 -2", 327),
+    MagneticHallSymbolEntry::new("I 2 -2 1'", 328),
+    MagneticHallSymbolEntry::new("I 2' -2", 329),
+    MagneticHallSymbolEntry::new("I 2 -2'", 330),
+    MagneticHallSymbolEntry::new("I 2 -2 1c'", 331),
+    MagneticHallSymbolEntry::new("I 2 -2 1a'", 332),
+    MagneticHallSymbolEntry::new("I 2 -2c", 333),
+    MagneticHallSymbolEntry::new("I 2 -2c 1'", 334),
+    MagneticHallSymbolEntry::new("I 2' -2c'", 335),
+    MagneticHallSymbolEntry::new("I 2 -2c'", 336),
+    MagneticHallSymbolEntry::new("I 2 -2c 1c'", 337),
+    MagneticHallSymbolEntry::new("I 2 -2c 1a'", 338),
+    MagneticHallSymbolEntry::new("I 2 -2a", 339),
+    MagneticHallSymbolEntry::new("I 2 -2a 1'", 340),
+    MagneticHallSymbolEntry::new("I 2' -2a'", 341),
+    MagneticHallSymbolEntry::new("I 2' -2a", 342),
+    MagneticHallSymbolEntry::new("I 2 -2a'", 343),
+    MagneticHallSymbolEntry::new("I 2 -2a 1c'", 344),
+    MagneticHallSymbolEntry::new("I 2 -2a 1a'", 345),
+    MagneticHallSymbolEntry::new("I 2 -2a 1b'", 346),
+    MagneticHallSymbolEntry::new("-P 2 2", 347),
+    MagneticHallSymbolEntry::new("-P 2 2 1'", 348),
+    MagneticHallSymbolEntry::new("P 2' 2 -1'", 349),
+    MagneticHallSymbolEntry::new("-P 2 2'", 350),
+    MagneticHallSymbolEntry::new("P 2 2 -1'", 351),
+    MagneticHallSymbolEntry::new("-P 2 2 1a'", 352),
+    MagneticHallSymbolEntry::new("-P 2 2 1ab'", 353),
+    MagneticHallSymbolEntry::new("-P 2 2 1abc'", 354),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc", 355),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 1'", 356),
+    MagneticHallSymbolEntry::new("P 2ab' 2bc -1'", 357),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc'", 358),
+    MagneticHallSymbolEntry::new("P 2ab 2bc -1'", 359),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 1c'", 360),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 1ab'", 361),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 1abc'", 362),
+    MagneticHallSymbolEntry::new("-P 2 2c", 363),
+    MagneticHallSymbolEntry::new("-P 2 2c 1'", 364),
+    MagneticHallSymbolEntry::new("P 2' 2c -1'", 365),
+    MagneticHallSymbolEntry::new("P 2 2c' -1'", 366),
+    MagneticHallSymbolEntry::new("-P 2 2c'", 367),
+    MagneticHallSymbolEntry::new("-P 2' 2c'", 368),
+    MagneticHallSymbolEntry::new("P 2 2c -1'", 369),
+    MagneticHallSymbolEntry::new("-P 2 2c 1a'", 370),
+    MagneticHallSymbolEntry::new("-P 2 2c 1c'", 371),
+    MagneticHallSymbolEntry::new("-P 2 2c 1ac'", 372),
+    MagneticHallSymbolEntry::new("-P 2 2c 1ab'", 373),
+    MagneticHallSymbolEntry::new("-P 2 2c 1abc'", 374),
+    MagneticHallSymbolEntry::new("-P 2ab 2b", 375),
+    MagneticHallSymbolEntry::new("-P 2ab 2b 1'", 376),
+    MagneticHallSymbolEntry::new("P 2ab' 2b -1'", 377),
+    MagneticHallSymbolEntry::new("P 2ab 2b' -1'", 378),
+    MagneticHallSymbolEntry::new("-P 2ab 2b'", 379),
+    MagneticHallSymbolEntry::new("-P 2ab' 2b'", 380),
+    MagneticHallSymbolEntry::new("P 2ab 2b -1'", 381),
+    MagneticHallSymbolEntry::new("-P 2ab 2b 1a'", 382),
+    MagneticHallSymbolEntry::new("-P 2ab 2b 1c'", 383),
+    MagneticHallSymbolEntry::new("-P 2ab 2b 1bc'", 384),
+    MagneticHallSymbolEntry::new("-P 2ab 2b 1ab'", 385),
+    MagneticHallSymbolEntry::new("-P 2ab 2b 1abc'", 386),
+    MagneticHallSymbolEntry::new("-P 2a 2a", 387),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1'", 388),
+    MagneticHallSymbolEntry::new("P 2a' 2a -1'", 389),
+    MagneticHallSymbolEntry::new("P 2a' 2a' -1'", 390),
+    MagneticHallSymbolEntry::new("P 2a 2a' -1'", 391),
+    MagneticHallSymbolEntry::new("-P 2a 2a'", 392),
+    MagneticHallSymbolEntry::new("-P 2a' 2a", 393),
+    MagneticHallSymbolEntry::new("-P 2a' 2a'", 394),
+    MagneticHallSymbolEntry::new("P 2a 2a -1'", 395),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1a'", 396),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1b'", 397),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1c'", 398),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1bc'", 399),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1ac'", 400),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1ab'", 401),
+    MagneticHallSymbolEntry::new("-P 2a 2a 1abc'", 402),
+    MagneticHallSymbolEntry::new("-P 2a 2bc", 403),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1'", 404),
+    MagneticHallSymbolEntry::new("P 2a' 2bc -1'", 405),
+    MagneticHallSymbolEntry::new("P 2a' 2bc' -1'", 406),
+    MagneticHallSymbolEntry::new("P 2a 2bc' -1'", 407),
+    MagneticHallSymbolEntry::new("-P 2a 2bc'", 408),
+    MagneticHallSymbolEntry::new("-P 2a' 2bc", 409),
+    MagneticHallSymbolEntry::new("-P 2a' 2bc'", 410),
+    MagneticHallSymbolEntry::new("P 2a 2bc -1'", 411),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1a'", 412),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1b'", 413),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1c'", 414),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1bc'", 415),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1ac'", 416),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1ab'", 417),
+    MagneticHallSymbolEntry::new("-P 2a 2bc 1abc'", 418),
+    MagneticHallSymbolEntry::new("-P 2ac 2", 419),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1'", 420),
+    MagneticHallSymbolEntry::new("P 2ac' 2 -1'", 421),
+    MagneticHallSymbolEntry::new("P 2ac' 2' -1'", 422),
+    MagneticHallSymbolEntry::new("P 2ac 2' -1'", 423),
+    MagneticHallSymbolEntry::new("-P 2ac 2'", 424),
+    MagneticHallSymbolEntry::new("-P 2ac' 2", 425),
+    MagneticHallSymbolEntry::new("-P 2ac' 2'", 426),
+    MagneticHallSymbolEntry::new("P 2ac 2 -1'", 427),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1a'", 428),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1b'", 429),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1c'", 430),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1bc'", 431),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1ac'", 432),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1ab'", 433),
+    MagneticHallSymbolEntry::new("-P 2ac 2 1abc'", 434),
+    MagneticHallSymbolEntry::new("-P 2a 2ac", 435),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1'", 436),
+    MagneticHallSymbolEntry::new("P 2a' 2ac -1'", 437),
+    MagneticHallSymbolEntry::new("P 2a' 2ac' -1'", 438),
+    MagneticHallSymbolEntry::new("P 2a 2ac' -1'", 439),
+    MagneticHallSymbolEntry::new("-P 2a 2ac'", 440),
+    MagneticHallSymbolEntry::new("-P 2a' 2ac", 441),
+    MagneticHallSymbolEntry::new("-P 2a' 2ac'", 442),
+    MagneticHallSymbolEntry::new("P 2a 2ac -1'", 443),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1a'", 444),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1b'", 445),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1c'", 446),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1bc'", 447),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1ac'", 448),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1ab'", 449),
+    MagneticHallSymbolEntry::new("-P 2a 2ac 1abc'", 450),
+    MagneticHallSymbolEntry::new("-P 2 2ab", 451),
+    MagneticHallSymbolEntry::new("-P 2 2ab 1'", 452),
+    MagneticHallSymbolEntry::new("P 2' 2ab -1'", 453),
+    MagneticHallSymbolEntry::new("P 2 2ab' -1'", 454),
+    MagneticHallSymbolEntry::new("-P 2 2ab'", 455),
+    MagneticHallSymbolEntry::new("-P 2' 2ab'", 456),
+    MagneticHallSymbolEntry::new("P 2 2ab -1'", 457),
+    MagneticHallSymbolEntry::new("-P 2 2ab 1a'", 458),
+    MagneticHallSymbolEntry::new("-P 2 2ab 1c'", 459),
+    MagneticHallSymbolEntry::new("-P 2 2ab 1bc'", 460),
+    MagneticHallSymbolEntry::new("-P 2 2ab 1ab'", 461),
+    MagneticHallSymbolEntry::new("-P 2 2ab 1abc'", 462),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac", 463),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac 1'", 464),
+    MagneticHallSymbolEntry::new("P 2ab' 2ac -1'", 465),
+    MagneticHallSymbolEntry::new("P 2ab 2ac' -1'", 466),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac'", 467),
+    MagneticHallSymbolEntry::new("-P 2ab' 2ac'", 468),
+    MagneticHallSymbolEntry::new("P 2ab 2ac -1'", 469),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac 1b'", 470),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac 1c'", 471),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac 1bc'", 472),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac 1ab'", 473),
+    MagneticHallSymbolEntry::new("-P 2ab 2ac 1abc'", 474),
+    MagneticHallSymbolEntry::new("-P 2c 2b", 475),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1'", 476),
+    MagneticHallSymbolEntry::new("P 2c' 2b -1'", 477),
+    MagneticHallSymbolEntry::new("P 2c' 2b' -1'", 478),
+    MagneticHallSymbolEntry::new("P 2c 2b' -1'", 479),
+    MagneticHallSymbolEntry::new("-P 2c 2b'", 480),
+    MagneticHallSymbolEntry::new("-P 2c' 2b", 481),
+    MagneticHallSymbolEntry::new("-P 2c' 2b'", 482),
+    MagneticHallSymbolEntry::new("P 2c 2b -1'", 483),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1a'", 484),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1b'", 485),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1c'", 486),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1bc'", 487),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1ac'", 488),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1ab'", 489),
+    MagneticHallSymbolEntry::new("-P 2c 2b 1abc'", 490),
+    MagneticHallSymbolEntry::new("-P 2 2n", 491),
+    MagneticHallSymbolEntry::new("-P 2 2n 1'", 492),
+    MagneticHallSymbolEntry::new("P 2' 2n -1'", 493),
+    MagneticHallSymbolEntry::new("P 2 2n' -1'", 494),
+    MagneticHallSymbolEntry::new("-P 2 2n'", 495),
+    MagneticHallSymbolEntry::new("-P 2' 2n", 496),
+    MagneticHallSymbolEntry::new("P 2 2n -1'", 497),
+    MagneticHallSymbolEntry::new("-P 2 2n 1a'", 498),
+    MagneticHallSymbolEntry::new("-P 2 2n 1c'", 499),
+    MagneticHallSymbolEntry::new("-P 2 2n 1ac'", 500),
+    MagneticHallSymbolEntry::new("-P 2 2n 1ab'", 501),
+    MagneticHallSymbolEntry::new("-P 2 2n 1abc'", 502),
+    MagneticHallSymbolEntry::new("-P 2ab 2a", 503),
+    MagneticHallSymbolEntry::new("-P 2ab 2a 1'", 504),
+    MagneticHallSymbolEntry::new("P 2ab' 2a -1'", 505),
+    MagneticHallSymbolEntry::new("P 2ab 2a' -1'", 506),
+    MagneticHallSymbolEntry::new("-P 2ab 2a'", 507),
+    MagneticHallSymbolEntry::new("-P 2ab' 2a", 508),
+    MagneticHallSymbolEntry::new("P 2ab 2a -1'", 509),
+    MagneticHallSymbolEntry::new("-P 2ab 2a 1b'", 510),
+    MagneticHallSymbolEntry::new("-P 2ab 2a 1c'", 511),
+    MagneticHallSymbolEntry::new("-P 2ab 2a 1ac'", 512),
+    MagneticHallSymbolEntry::new("-P 2ab 2a 1ab'", 513),
+    MagneticHallSymbolEntry::new("-P 2ab 2a 1abc'", 514),
+    MagneticHallSymbolEntry::new("-P 2n 2ab", 515),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1'", 516),
+    MagneticHallSymbolEntry::new("P 2n' 2ab -1'", 517),
+    MagneticHallSymbolEntry::new("P 2n' 2ab' -1'", 518),
+    MagneticHallSymbolEntry::new("P 2n 2ab' -1'", 519),
+    MagneticHallSymbolEntry::new("-P 2n 2ab'", 520),
+    MagneticHallSymbolEntry::new("-P 2n' 2ab", 521),
+    MagneticHallSymbolEntry::new("-P 2n' 2ab'", 522),
+    MagneticHallSymbolEntry::new("P 2n 2ab -1'", 523),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1a'", 524),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1b'", 525),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1c'", 526),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1bc'", 527),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1ac'", 528),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1ab'", 529),
+    MagneticHallSymbolEntry::new("-P 2n 2ab 1abc'", 530),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab", 531),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 1'", 532),
+    MagneticHallSymbolEntry::new("P 2ac' 2ab -1'", 533),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab'", 534),
+    MagneticHallSymbolEntry::new("P 2ac 2ab -1'", 535),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 1a'", 536),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 1ab'", 537),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 1abc'", 538),
+    MagneticHallSymbolEntry::new("-P 2ac 2n", 539),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1'", 540),
+    MagneticHallSymbolEntry::new("P 2ac' 2n -1'", 541),
+    MagneticHallSymbolEntry::new("P 2ac' 2n' -1'", 542),
+    MagneticHallSymbolEntry::new("P 2ac 2n' -1'", 543),
+    MagneticHallSymbolEntry::new("-P 2ac 2n'", 544),
+    MagneticHallSymbolEntry::new("-P 2ac' 2n", 545),
+    MagneticHallSymbolEntry::new("-P 2ac' 2n'", 546),
+    MagneticHallSymbolEntry::new("P 2ac 2n -1'", 547),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1a'", 548),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1b'", 549),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1c'", 550),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1bc'", 551),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1ac'", 552),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1ab'", 553),
+    MagneticHallSymbolEntry::new("-P 2ac 2n 1abc'", 554),
+    MagneticHallSymbolEntry::new("-C 2c 2", 555),
+    MagneticHallSymbolEntry::new("-C 2c 2 1'", 556),
+    MagneticHallSymbolEntry::new("C 2c' 2 -1'", 557),
+    MagneticHallSymbolEntry::new("C 2c' 2' -1'", 558),
+    MagneticHallSymbolEntry::new("C 2c 2' -1'", 559),
+    MagneticHallSymbolEntry::new("-C 2c 2'", 560),
+    MagneticHallSymbolEntry::new("-C 2c' 2", 561),
+    MagneticHallSymbolEntry::new("-C 2c' 2'", 562),
+    MagneticHallSymbolEntry::new("C 2c 2 -1'", 563),
+    MagneticHallSymbolEntry::new("-C 2c 2 1c'", 564),
+    MagneticHallSymbolEntry::new("-C 2c 2 1a'", 565),
+    MagneticHallSymbolEntry::new("-C 2c 2 1bc'", 566),
+    MagneticHallSymbolEntry::new("-C 2bc 2", 567),
+    MagneticHallSymbolEntry::new("-C 2bc 2 1'", 568),
+    MagneticHallSymbolEntry::new("C 2bc' 2 -1'", 569),
+    MagneticHallSymbolEntry::new("C 2bc' 2' -1'", 570),
+    MagneticHallSymbolEntry::new("C 2bc 2' -1'", 571),
+    MagneticHallSymbolEntry::new("-C 2bc 2'", 572),
+    MagneticHallSymbolEntry::new("-C 2bc' 2", 573),
+    MagneticHallSymbolEntry::new("-C 2bc' 2'", 574),
+    MagneticHallSymbolEntry::new("C 2bc 2 -1'", 575),
+    MagneticHallSymbolEntry::new("-C 2bc 2 1c'", 576),
+    MagneticHallSymbolEntry::new("-C 2bc 2 1a'", 577),
+    MagneticHallSymbolEntry::new("-C 2bc 2 1bc'", 578),
+    MagneticHallSymbolEntry::new("-C 2 2", 579),
+    MagneticHallSymbolEntry::new("-C 2 2 1'", 580),
+    MagneticHallSymbolEntry::new("C 2' 2 -1'", 581),
+    MagneticHallSymbolEntry::new("C 2 2' -1'", 582),
+    MagneticHallSymbolEntry::new("-C 2 2'", 583),
+    MagneticHallSymbolEntry::new("-C 2' 2", 584),
+    MagneticHallSymbolEntry::new("C 2 2 -1'", 585),
+    MagneticHallSymbolEntry::new("-C 2 2 1c'", 586),
+    MagneticHallSymbolEntry::new("-C 2 2 1a'", 587),
+    MagneticHallSymbolEntry::new("-C 2 2 1bc'", 588),
+    MagneticHallSymbolEntry::new("-C 2 2c", 589),
+    MagneticHallSymbolEntry::new("-C 2 2c 1'", 590),
+    MagneticHallSymbolEntry::new("C 2' 2c -1'", 591),
+    MagneticHallSymbolEntry::new("C 2 2c' -1'", 592),
+    MagneticHallSymbolEntry::new("-C 2 2c'", 593),
+    MagneticHallSymbolEntry::new("-C 2' 2c", 594),
+    MagneticHallSymbolEntry::new("C 2 2c -1'", 595),
+    MagneticHallSymbolEntry::new("-C 2 2c 1c'", 596),
+    MagneticHallSymbolEntry::new("-C 2 2c 1a'", 597),
+    MagneticHallSymbolEntry::new("-C 2 2c 1bc'", 598),
+    MagneticHallSymbolEntry::new("-C 2b 2", 599),
+    MagneticHallSymbolEntry::new("-C 2b 2 1'", 600),
+    MagneticHallSymbolEntry::new("C 2b' 2 -1'", 601),
+    MagneticHallSymbolEntry::new("C 2b 2' -1'", 602),
+    MagneticHallSymbolEntry::new("-C 2b 2'", 603),
+    MagneticHallSymbolEntry::new("-C 2b' 2", 604),
+    MagneticHallSymbolEntry::new("C 2b 2 -1'", 605),
+    MagneticHallSymbolEntry::new("-C 2b 2 1c'", 606),
+    MagneticHallSymbolEntry::new("-C 2b 2 1a'", 607),
+    MagneticHallSymbolEntry::new("-C 2b 2 1bc'", 608),
+    MagneticHallSymbolEntry::new("-C 2a 2ac", 609),
+    MagneticHallSymbolEntry::new("-C 2a 2ac 1'", 610),
+    MagneticHallSymbolEntry::new("C 2a' 2ac -1'", 611),
+    MagneticHallSymbolEntry::new("C 2a 2ac' -1'", 612),
+    MagneticHallSymbolEntry::new("-C 2b 2ac'", 613),
+    MagneticHallSymbolEntry::new("-C 2a' 2ac", 614),
+    MagneticHallSymbolEntry::new("C 2a 2ac -1'", 615),
+    MagneticHallSymbolEntry::new("-C 2a 2ac 1c'", 616),
+    MagneticHallSymbolEntry::new("-C 2a 2ac 1a'", 617),
+    MagneticHallSymbolEntry::new("-C 2a 2ac 1bc'", 618),
+    MagneticHallSymbolEntry::new("-F 2 2", 619),
+    MagneticHallSymbolEntry::new("-F 2 2 1'", 620),
+    MagneticHallSymbolEntry::new("F 2' 2 -1'", 621),
+    MagneticHallSymbolEntry::new("-F 2 2'", 622),
+    MagneticHallSymbolEntry::new("F 2 2 -1'", 623),
+    MagneticHallSymbolEntry::new("-F 2 2 1abc'", 624),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw", 625),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw 1'", 626),
+    MagneticHallSymbolEntry::new("F 2uv' 2vw -1'", 627),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw'", 628),
+    MagneticHallSymbolEntry::new("F 2uv 2vw -1'", 629),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw 1abc'", 630),
+    MagneticHallSymbolEntry::new("-I 2 2", 631),
+    MagneticHallSymbolEntry::new("-I 2 2 1'", 632),
+    MagneticHallSymbolEntry::new("I 2' 2 -1'", 633),
+    MagneticHallSymbolEntry::new("-I 2 2'", 634),
+    MagneticHallSymbolEntry::new("I 2 2 -1'", 635),
+    MagneticHallSymbolEntry::new("-I 2 2 1c'", 636),
+    MagneticHallSymbolEntry::new("-I 2 2c", 637),
+    MagneticHallSymbolEntry::new("-I 2 2c 1'", 638),
+    MagneticHallSymbolEntry::new("I 2' 2c -1'", 639),
+    MagneticHallSymbolEntry::new("I 2 2c' -1'", 640),
+    MagneticHallSymbolEntry::new("-I 2 2c'", 641),
+    MagneticHallSymbolEntry::new("-I 2' 2c", 642),
+    MagneticHallSymbolEntry::new("I 2 2c -1'", 643),
+    MagneticHallSymbolEntry::new("-I 2 2c 1c'", 644),
+    MagneticHallSymbolEntry::new("-I 2 2c 1b'", 645),
+    MagneticHallSymbolEntry::new("-I 2b 2c", 646),
+    MagneticHallSymbolEntry::new("-I 2b 2c 1'", 647),
+    MagneticHallSymbolEntry::new("I 2b' 2c -1'", 648),
+    MagneticHallSymbolEntry::new("-I 2b 2c'", 649),
+    MagneticHallSymbolEntry::new("I 2b 2c -1'", 650),
+    MagneticHallSymbolEntry::new("-I 2b 2c 1c'", 651),
+    MagneticHallSymbolEntry::new("-I 2b 2", 652),
+    MagneticHallSymbolEntry::new("-I 2b 2 1'", 653),
+    MagneticHallSymbolEntry::new("I 2b' 2 -1'", 654),
+    MagneticHallSymbolEntry::new("I 2b 2' -1'", 655),
+    MagneticHallSymbolEntry::new("-I 2b 2'", 656),
+    MagneticHallSymbolEntry::new("-I 2b' 2", 657),
+    MagneticHallSymbolEntry::new("I 2b 2 -1'", 658),
+    MagneticHallSymbolEntry::new("-I 2b 2 1c'", 659),
+    MagneticHallSymbolEntry::new("-I 2b 2 1b'", 660),
+    MagneticHallSymbolEntry::new("P 4", 661),
+    MagneticHallSymbolEntry::new("P 4 1'", 662),
+    MagneticHallSymbolEntry::new("P 4'", 663),
+    MagneticHallSymbolEntry::new("P 4 1c'", 664),
+    MagneticHallSymbolEntry::new("P 4 1ab'", 665),
+    MagneticHallSymbolEntry::new("P 4 1abc'", 666),
+    MagneticHallSymbolEntry::new("P 4w", 667),
+    MagneticHallSymbolEntry::new("P 4w 1'", 668),
+    MagneticHallSymbolEntry::new("P 4w'", 669),
+    MagneticHallSymbolEntry::new("P 4w 1c'", 670),
+    MagneticHallSymbolEntry::new("P 4w 1ab'", 671),
+    MagneticHallSymbolEntry::new("P 4w 1abc'", 672),
+    MagneticHallSymbolEntry::new("P 4c", 673),
+    MagneticHallSymbolEntry::new("P 4c 1'", 674),
+    MagneticHallSymbolEntry::new("P 4c'", 675),
+    MagneticHallSymbolEntry::new("P 4c 1c'", 676),
+    MagneticHallSymbolEntry::new("P 4c 1ab'", 677),
+    MagneticHallSymbolEntry::new("P 4c 1abc'", 678),
+    MagneticHallSymbolEntry::new("P 4cw", 679),
+    MagneticHallSymbolEntry::new("P 4cw 1'", 680),
+    MagneticHallSymbolEntry::new("P 4cw'", 681),
+    MagneticHallSymbolEntry::new("P 4cw 1c'", 682),
+    MagneticHallSymbolEntry::new("P 4cw 1ab'", 683),
+    MagneticHallSymbolEntry::new("P 4cw 1abc'", 684),
+    MagneticHallSymbolEntry::new("I 4", 685),
+    MagneticHallSymbolEntry::new("I 4 1'", 686),
+    MagneticHallSymbolEntry::new("I 4'", 687),
+    MagneticHallSymbolEntry::new("I 4 1c'", 688),
+    MagneticHallSymbolEntry::new("I 4bw", 689),
+    MagneticHallSymbolEntry::new("I 4bw 1'", 690),
+    MagneticHallSymbolEntry::new("I 4bw'", 691),
+    MagneticHallSymbolEntry::new("I 4bw 1c'", 692),
+    MagneticHallSymbolEntry::new("P -4", 693),
+    MagneticHallSymbolEntry::new("P -4 1'", 694),
+    MagneticHallSymbolEntry::new("P -4'", 695),
+    MagneticHallSymbolEntry::new("P -4 1c'", 696),
+    MagneticHallSymbolEntry::new("P -4 1ab'", 697),
+    MagneticHallSymbolEntry::new("P -4 1abc'", 698),
+    MagneticHallSymbolEntry::new("I -4", 699),
+    MagneticHallSymbolEntry::new("I -4 1'", 700),
+    MagneticHallSymbolEntry::new("I -4'", 701),
+    MagneticHallSymbolEntry::new("I -4 1c'", 702),
+    MagneticHallSymbolEntry::new("-P 4", 703),
+    MagneticHallSymbolEntry::new("-P 4 1'", 704),
+    MagneticHallSymbolEntry::new("-P 4'", 705),
+    MagneticHallSymbolEntry::new("P 4 -1'", 706),
+    MagneticHallSymbolEntry::new("P 4' -1'", 707),
+    MagneticHallSymbolEntry::new("-P 4 1c'", 708),
+    MagneticHallSymbolEntry::new("-P 4 1ab'", 709),
+    MagneticHallSymbolEntry::new("-P 4 1abc'", 710),
+    MagneticHallSymbolEntry::new("-P 4c", 711),
+    MagneticHallSymbolEntry::new("-P 4c 1'", 712),
+    MagneticHallSymbolEntry::new("-P 4c'", 713),
+    MagneticHallSymbolEntry::new("P 4c -1'", 714),
+    MagneticHallSymbolEntry::new("P 4c' -1'", 715),
+    MagneticHallSymbolEntry::new("-P 4c 1c'", 716),
+    MagneticHallSymbolEntry::new("-P 4c 1ab'", 717),
+    MagneticHallSymbolEntry::new("-P 4c 1abc'", 718),
+    MagneticHallSymbolEntry::new("-P 4a", 719),
+    MagneticHallSymbolEntry::new("-P 4a 1'", 720),
+    MagneticHallSymbolEntry::new("-P 4a'", 721),
+    MagneticHallSymbolEntry::new("P 4a -1'", 722),
+    MagneticHallSymbolEntry::new("P 4a' -1'", 723),
+    MagneticHallSymbolEntry::new("-P 4a 1c'", 724),
+    MagneticHallSymbolEntry::new("-P 4a 1ab'", 725),
+    MagneticHallSymbolEntry::new("-P 4a 1abc'", 726),
+    MagneticHallSymbolEntry::new("-P 4bc", 727),
+    MagneticHallSymbolEntry::new("-P 4bc 1'", 728),
+    MagneticHallSymbolEntry::new("-P 4bc'", 729),
+    MagneticHallSymbolEntry::new("P 4bc -1'", 730),
+    MagneticHallSymbolEntry::new("P 4bc' -1'", 731),
+    MagneticHallSymbolEntry::new("-P 4bc 1c'", 732),
+    MagneticHallSymbolEntry::new("-P 4bc 1ab'", 733),
+    MagneticHallSymbolEntry::new("-P 4bc 1abc'", 734),
+    MagneticHallSymbolEntry::new("-I 4", 735),
+    MagneticHallSymbolEntry::new("-I 4 1'", 736),
+    MagneticHallSymbolEntry::new("-I 4'", 737),
+    MagneticHallSymbolEntry::new("I 4 -1'", 738),
+    MagneticHallSymbolEntry::new("I 4' -1'", 739),
+    MagneticHallSymbolEntry::new("-I 4 1c'", 740),
+    MagneticHallSymbolEntry::new("-I 4ad", 741),
+    MagneticHallSymbolEntry::new("-I 4ad 1'", 742),
+    MagneticHallSymbolEntry::new("-I 4ad'", 743),
+    MagneticHallSymbolEntry::new("I 4ad -1'", 744),
+    MagneticHallSymbolEntry::new("I 4ad' -1'", 745),
+    MagneticHallSymbolEntry::new("-I 4ad 1c'", 746),
+    MagneticHallSymbolEntry::new("P 4 2", 747),
+    MagneticHallSymbolEntry::new("P 4 2 1'", 748),
+    MagneticHallSymbolEntry::new("P 4' 2", 749),
+    MagneticHallSymbolEntry::new("P 4 2'", 750),
+    MagneticHallSymbolEntry::new("P 4' 2'", 751),
+    MagneticHallSymbolEntry::new("P 4 2 1c'", 752),
+    MagneticHallSymbolEntry::new("P 4 2 1ab'", 753),
+    MagneticHallSymbolEntry::new("P 4 2 1abc'", 754),
+    MagneticHallSymbolEntry::new("P 4ab 2ab", 755),
+    MagneticHallSymbolEntry::new("P 4ab 2ab 1'", 756),
+    MagneticHallSymbolEntry::new("P 4ab' 2ab", 757),
+    MagneticHallSymbolEntry::new("P 4ab 2ab'", 758),
+    MagneticHallSymbolEntry::new("P 4ab' 2ab'", 759),
+    MagneticHallSymbolEntry::new("P 4ab 2ab 1c'", 760),
+    MagneticHallSymbolEntry::new("P 4ab 2ab 1ab'", 761),
+    MagneticHallSymbolEntry::new("P 4ab 2ab 1abc'", 762),
+    MagneticHallSymbolEntry::new("P 4w 2c", 763),
+    MagneticHallSymbolEntry::new("P 4w 2c 1'", 764),
+    MagneticHallSymbolEntry::new("P 4w' 2c", 765),
+    MagneticHallSymbolEntry::new("P 4w 2c'", 766),
+    MagneticHallSymbolEntry::new("P 4w' 2c'", 767),
+    MagneticHallSymbolEntry::new("P 4w 2c 1c'", 768),
+    MagneticHallSymbolEntry::new("P 4w 2c 1ab'", 769),
+    MagneticHallSymbolEntry::new("P 4w 2c 1abc'", 770),
+    MagneticHallSymbolEntry::new("P 4abw 2nw", 771),
+    MagneticHallSymbolEntry::new("P 4abw 2nw 1'", 772),
+    MagneticHallSymbolEntry::new("P 4abw' 2nw", 773),
+    MagneticHallSymbolEntry::new("P 4abw 2nw'", 774),
+    MagneticHallSymbolEntry::new("P 4abw' 2nw'", 775),
+    MagneticHallSymbolEntry::new("P 4abw 2nw 1c'", 776),
+    MagneticHallSymbolEntry::new("P 4abw 2nw 1ab'", 777),
+    MagneticHallSymbolEntry::new("P 4abw 2nw 1abc'", 778),
+    MagneticHallSymbolEntry::new("P 4c 2", 779),
+    MagneticHallSymbolEntry::new("P 4c 2 1'", 780),
+    MagneticHallSymbolEntry::new("P 4c' 2", 781),
+    MagneticHallSymbolEntry::new("P 4c 2'", 782),
+    MagneticHallSymbolEntry::new("P 4c' 2'", 783),
+    MagneticHallSymbolEntry::new("P 4c 2 1c'", 784),
+    MagneticHallSymbolEntry::new("P 4c 2 1ab'", 785),
+    MagneticHallSymbolEntry::new("P 4c 2 1abc'", 786),
+    MagneticHallSymbolEntry::new("P 4n 2n", 787),
+    MagneticHallSymbolEntry::new("P 4n 2n 1'", 788),
+    MagneticHallSymbolEntry::new("P 4n' 2n", 789),
+    MagneticHallSymbolEntry::new("P 4n 2n'", 790),
+    MagneticHallSymbolEntry::new("P 4n' 2n'", 791),
+    MagneticHallSymbolEntry::new("P 4n 2n 1c'", 792),
+    MagneticHallSymbolEntry::new("P 4n 2n 1ab'", 793),
+    MagneticHallSymbolEntry::new("P 4n 2n 1abc'", 794),
+    MagneticHallSymbolEntry::new("P 4cw 2c", 795),
+    MagneticHallSymbolEntry::new("P 4cw 2c 1'", 796),
+    MagneticHallSymbolEntry::new("P 4cw' 2c", 797),
+    MagneticHallSymbolEntry::new("P 4cw 2c'", 798),
+    MagneticHallSymbolEntry::new("P 4cw' 2c'", 799),
+    MagneticHallSymbolEntry::new("P 4cw 2c 1c'", 800),
+    MagneticHallSymbolEntry::new("P 4cw 2c 1ab'", 801),
+    MagneticHallSymbolEntry::new("P 4cw 2c 1abc'", 802),
+    MagneticHallSymbolEntry::new("P 4nw 2abw", 803),
+    MagneticHallSymbolEntry::new("P 4nw 2abw 1'", 804),
+    MagneticHallSymbolEntry::new("P 4nw' 2abw", 805),
+    MagneticHallSymbolEntry::new("P 4nw 2abw'", 806),
+    MagneticHallSymbolEntry::new("P 4nw' 2abw'", 807),
+    MagneticHallSymbolEntry::new("P 4nw 2abw 1c'", 808),
+    MagneticHallSymbolEntry::new("P 4nw 2abw 1ab'", 809),
+    MagneticHallSymbolEntry::new("P 4nw 2abw 1abc'", 810),
+    MagneticHallSymbolEntry::new("I 4 2", 811),
+    MagneticHallSymbolEntry::new("I 4 2 1'", 812),
+    MagneticHallSymbolEntry::new("I 4' 2", 813),
+    MagneticHallSymbolEntry::new("I 4 2'", 814),
+    MagneticHallSymbolEntry::new("I 4' 2'", 815),
+    MagneticHallSymbolEntry::new("I 4 2 1c'", 816),
+    MagneticHallSymbolEntry::new("I 4bw 2bw", 817),
+    MagneticHallSymbolEntry::new("I 4bw 2bw 1'", 818),
+    MagneticHallSymbolEntry::new("I 4bw' 2bw", 819),
+    MagneticHallSymbolEntry::new("I 4bw 2bw'", 820),
+    MagneticHallSymbolEntry::new("I 4bw' 2bw'", 821),
+    MagneticHallSymbolEntry::new("I 4bw 2bw 1c'", 822),
+    MagneticHallSymbolEntry::new("P 4 -2", 823),
+    MagneticHallSymbolEntry::new("P 4 -2 1'", 824),
+    MagneticHallSymbolEntry::new("P 4' -2'", 825),
+    MagneticHallSymbolEntry::new("P 4' -2", 826),
+    MagneticHallSymbolEntry::new("P 4 -2'", 827),
+    MagneticHallSymbolEntry::new("P 4 -2 1c'", 828),
+    MagneticHallSymbolEntry::new("P 4 -2 1ab'", 829),
+    MagneticHallSymbolEntry::new("P 4 -2 1abc'", 830),
+    MagneticHallSymbolEntry::new("P 4 -2ab", 831),
+    MagneticHallSymbolEntry::new("P 4 -2ab 1'", 832),
+    MagneticHallSymbolEntry::new("P 4' -2ab'", 833),
+    MagneticHallSymbolEntry::new("P 4' -2ab", 834),
+    MagneticHallSymbolEntry::new("P 4 -2ab'", 835),
+    MagneticHallSymbolEntry::new("P 4 -2ab 1c'", 836),
+    MagneticHallSymbolEntry::new("P 4 -2ab 1ab'", 837),
+    MagneticHallSymbolEntry::new("P 4 -2ab 1abc'", 838),
+    MagneticHallSymbolEntry::new("P 4c -2c", 839),
+    MagneticHallSymbolEntry::new("P 4c -2c 1'", 840),
+    MagneticHallSymbolEntry::new("P 4c' -2c'", 841),
+    MagneticHallSymbolEntry::new("P 4c' -2c", 842),
+    MagneticHallSymbolEntry::new("P 4c -2c'", 843),
+    MagneticHallSymbolEntry::new("P 4c -2c 1c'", 844),
+    MagneticHallSymbolEntry::new("P 4c -2c 1ab'", 845),
+    MagneticHallSymbolEntry::new("P 4c -2c 1abc'", 846),
+    MagneticHallSymbolEntry::new("P 4n -2n", 847),
+    MagneticHallSymbolEntry::new("P 4n -2n 1'", 848),
+    MagneticHallSymbolEntry::new("P 4n' -2n'", 849),
+    MagneticHallSymbolEntry::new("P 4n' -2n", 850),
+    MagneticHallSymbolEntry::new("P 4n -2n'", 851),
+    MagneticHallSymbolEntry::new("P 4n -2n 1c'", 852),
+    MagneticHallSymbolEntry::new("P 4n -2n 1ab'", 853),
+    MagneticHallSymbolEntry::new("P 4n -2n 1abc'", 854),
+    MagneticHallSymbolEntry::new("P 4 -2c", 855),
+    MagneticHallSymbolEntry::new("P 4 -2c 1'", 856),
+    MagneticHallSymbolEntry::new("P 4' -2c'", 857),
+    MagneticHallSymbolEntry::new("P 4' -2c", 858),
+    MagneticHallSymbolEntry::new("P 4 -2c'", 859),
+    MagneticHallSymbolEntry::new("P 4 -2c 1c'", 860),
+    MagneticHallSymbolEntry::new("P 4 -2c 1ab'", 861),
+    MagneticHallSymbolEntry::new("P 4 -2c 1abc'", 862),
+    MagneticHallSymbolEntry::new("P 4 -2n", 863),
+    MagneticHallSymbolEntry::new("P 4 -2n 1'", 864),
+    MagneticHallSymbolEntry::new("P 4' -2n'", 865),
+    MagneticHallSymbolEntry::new("P 4' -2n", 866),
+    MagneticHallSymbolEntry::new("P 4 -2n'", 867),
+    MagneticHallSymbolEntry::new("P 4 -2n 1c'", 868),
+    MagneticHallSymbolEntry::new("P 4 -2n 1ab'", 869),
+    MagneticHallSymbolEntry::new("P 4 -2n 1abc'", 870),
+    MagneticHallSymbolEntry::new("P 4c -2", 871),
+    MagneticHallSymbolEntry::new("P 4c -2 1'", 872),
+    MagneticHallSymbolEntry::new("P 4c' -2'", 873),
+    MagneticHallSymbolEntry::new("P 4c' -2", 874),
+    MagneticHallSymbolEntry::new("P 4c -2'", 875),
+    MagneticHallSymbolEntry::new("P 4c -2 1c'", 876),
+    MagneticHallSymbolEntry::new("P 4c -2 1ab'", 877),
+    MagneticHallSymbolEntry::new("P 4c -2 1abc'", 878),
+    MagneticHallSymbolEntry::new("P 4c -2ab", 879),
+    MagneticHallSymbolEntry::new("P 4c -2ab 1'", 880),
+    MagneticHallSymbolEntry::new("P 4c' -2ab'", 881),
+    MagneticHallSymbolEntry::new("P 4c' -2ab", 882),
+    MagneticHallSymbolEntry::new("P 4c -2ab'", 883),
+    MagneticHallSymbolEntry::new("P 4c -2ab 1c'", 884),
+    MagneticHallSymbolEntry::new("P 4c -2ab 1ab'", 885),
+    MagneticHallSymbolEntry::new("P 4c -2ab 1abc'", 886),
+    MagneticHallSymbolEntry::new("I 4 -2", 887),
+    MagneticHallSymbolEntry::new("I 4 -2 1'", 888),
+    MagneticHallSymbolEntry::new("I 4' -2'", 889),
+    MagneticHallSymbolEntry::new("I 4' -2", 890),
+    MagneticHallSymbolEntry::new("I 4 -2'", 891),
+    MagneticHallSymbolEntry::new("I 4 -2 1c'", 892),
+    MagneticHallSymbolEntry::new("I 4 -2c", 893),
+    MagneticHallSymbolEntry::new("I 4 -2c 1'", 894),
+    MagneticHallSymbolEntry::new("I 4' -2c'", 895),
+    MagneticHallSymbolEntry::new("I 4' -2c", 896),
+    MagneticHallSymbolEntry::new("I 4 -2c'", 897),
+    MagneticHallSymbolEntry::new("I 4 -2c 1c'", 898),
+    MagneticHallSymbolEntry::new("I 4bw -2", 899),
+    MagneticHallSymbolEntry::new("I 4bw -2 1'", 900),
+    MagneticHallSymbolEntry::new("I 4bw' -2'", 901),
+    MagneticHallSymbolEntry::new("I 4bw' -2", 902),
+    MagneticHallSymbolEntry::new("I 4bw -2'", 903),
+    MagneticHallSymbolEntry::new("I 4bw -2 1c'", 904),
+    MagneticHallSymbolEntry::new("I 4bw -2c", 905),
+    MagneticHallSymbolEntry::new("I 4bw -2c 1'", 906),
+    MagneticHallSymbolEntry::new("I 4bw' -2c'", 907),
+    MagneticHallSymbolEntry::new("I 4bw' -2c", 908),
+    MagneticHallSymbolEntry::new("I 4bw -2c'", 909),
+    MagneticHallSymbolEntry::new("I 4bw -2c 1c'", 910),
+    MagneticHallSymbolEntry::new("P -4 2", 911),
+    MagneticHallSymbolEntry::new("P -4 2 1'", 912),
+    MagneticHallSymbolEntry::new("P -4' 2'", 913),
+    MagneticHallSymbolEntry::new("P -4' 2", 914),
+    MagneticHallSymbolEntry::new("P -4 2'", 915),
+    MagneticHallSymbolEntry::new("P -4 2 1c'", 916),
+    MagneticHallSymbolEntry::new("P -4 2 1ab'", 917),
+    MagneticHallSymbolEntry::new("P -4 2 1abc'", 918),
+    MagneticHallSymbolEntry::new("P -4 2c", 919),
+    MagneticHallSymbolEntry::new("P -4 2c 1'", 920),
+    MagneticHallSymbolEntry::new("P -4' 2c'", 921),
+    MagneticHallSymbolEntry::new("P -4' 2c", 922),
+    MagneticHallSymbolEntry::new("P -4 2c'", 923),
+    MagneticHallSymbolEntry::new("P -4 2c 1c'", 924),
+    MagneticHallSymbolEntry::new("P -4 2c 1ab'", 925),
+    MagneticHallSymbolEntry::new("P -4 2c 1abc'", 926),
+    MagneticHallSymbolEntry::new("P -4 2ab", 927),
+    MagneticHallSymbolEntry::new("P -4 2ab 1'", 928),
+    MagneticHallSymbolEntry::new("P -4' 2ab'", 929),
+    MagneticHallSymbolEntry::new("P -4' 2ab", 930),
+    MagneticHallSymbolEntry::new("P -4 2ab'", 931),
+    MagneticHallSymbolEntry::new("P -4 2ab 1c'", 932),
+    MagneticHallSymbolEntry::new("P -4 2ab 1ab'", 933),
+    MagneticHallSymbolEntry::new("P -4 2ab 1abc'", 934),
+    MagneticHallSymbolEntry::new("P -4 2n", 935),
+    MagneticHallSymbolEntry::new("P -4 2n 1'", 936),
+    MagneticHallSymbolEntry::new("P -4' 2n'", 937),
+    MagneticHallSymbolEntry::new("P -4' 2n", 938),
+    MagneticHallSymbolEntry::new("P -4 2n'", 939),
+    MagneticHallSymbolEntry::new("P -4 2n 1c'", 940),
+    MagneticHallSymbolEntry::new("P -4 2n 1ab'", 941),
+    MagneticHallSymbolEntry::new("P -4 2n 1abc'", 942),
+    MagneticHallSymbolEntry::new("P -4 -2", 943),
+    MagneticHallSymbolEntry::new("P -4 -2 1'", 944),
+    MagneticHallSymbolEntry::new("P -4' -2'", 945),
+    MagneticHallSymbolEntry::new("P -4' -2", 946),
+    MagneticHallSymbolEntry::new("P -4 -2'", 947),
+    MagneticHallSymbolEntry::new("P -4 -2 1c'", 948),
+    MagneticHallSymbolEntry::new("P -4 -2 1ab'", 949),
+    MagneticHallSymbolEntry::new("P -4 -2 1abc'", 950),
+    MagneticHallSymbolEntry::new("P -4 -2c", 951),
+    MagneticHallSymbolEntry::new("P -4 -2c 1'", 952),
+    MagneticHallSymbolEntry::new("P -4' -2c'", 953),
+    MagneticHallSymbolEntry::new("P -4' -2c", 954),
+    MagneticHallSymbolEntry::new("P -4 -2c'", 955),
+    MagneticHallSymbolEntry::new("P -4 -2c 1c'", 956),
+    MagneticHallSymbolEntry::new("P -4 -2c 1ab'", 957),
+    MagneticHallSymbolEntry::new("P -4 -2c 1abc'", 958),
+    MagneticHallSymbolEntry::new("P -4 -2ab", 959),
+    MagneticHallSymbolEntry::new("P -4 -2ab 1'", 960),
+    MagneticHallSymbolEntry::new("P -4' -2ab'", 961),
+    MagneticHallSymbolEntry::new("P -4' -2ab", 962),
+    MagneticHallSymbolEntry::new("P -4 -2ab'", 963),
+    MagneticHallSymbolEntry::new("P -4 -2ab 1c'", 964),
+    MagneticHallSymbolEntry::new("P -4 -2ab 1ab'", 965),
+    MagneticHallSymbolEntry::new("P -4 -2ab 1abc'", 966),
+    MagneticHallSymbolEntry::new("P -4 -2n", 967),
+    MagneticHallSymbolEntry::new("P -4 -2n 1'", 968),
+    MagneticHallSymbolEntry::new("P -4' -2n'", 969),
+    MagneticHallSymbolEntry::new("P -4' -2n", 970),
+    MagneticHallSymbolEntry::new("P -4 -2n'", 971),
+    MagneticHallSymbolEntry::new("P -4 -2n 1c'", 972),
+    MagneticHallSymbolEntry::new("P -4 -2n 1ab'", 973),
+    MagneticHallSymbolEntry::new("P -4 -2n 1abc'", 974),
+    MagneticHallSymbolEntry::new("I -4 -2", 975),
+    MagneticHallSymbolEntry::new("I -4 -2 1'", 976),
+    MagneticHallSymbolEntry::new("I -4' -2'", 977),
+    MagneticHallSymbolEntry::new("I -4' -2", 978),
+    MagneticHallSymbolEntry::new("I -4 -2'", 979),
+    MagneticHallSymbolEntry::new("I -4 -2 1c'", 980),
+    MagneticHallSymbolEntry::new("I -4 -2c", 981),
+    MagneticHallSymbolEntry::new("I -4 -2c 1'", 982),
+    MagneticHallSymbolEntry::new("I -4' -2c'", 983),
+    MagneticHallSymbolEntry::new("I -4' -2c", 984),
+    MagneticHallSymbolEntry::new("I -4 -2c'", 985),
+    MagneticHallSymbolEntry::new("I -4 -2c 1c'", 986),
+    MagneticHallSymbolEntry::new("I -4 2", 987),
+    MagneticHallSymbolEntry::new("I -4 2 1'", 988),
+    MagneticHallSymbolEntry::new("I -4' 2'", 989),
+    MagneticHallSymbolEntry::new("I -4' 2", 990),
+    MagneticHallSymbolEntry::new("I -4 2'", 991),
+    MagneticHallSymbolEntry::new("I -4 2 1c'", 992),
+    MagneticHallSymbolEntry::new("I -4 2bw", 993),
+    MagneticHallSymbolEntry::new("I -4 2bw 1'", 994),
+    MagneticHallSymbolEntry::new("I -4' 2bw'", 995),
+    MagneticHallSymbolEntry::new("I -4' 2bw", 996),
+    MagneticHallSymbolEntry::new("I -4 2bw'", 997),
+    MagneticHallSymbolEntry::new("I -4 2bw 1c'", 998),
+    MagneticHallSymbolEntry::new("-P 4 2", 999),
+    MagneticHallSymbolEntry::new("-P 4 2 1'", 1000),
+    MagneticHallSymbolEntry::new("P 4 2' -1'", 1001),
+    MagneticHallSymbolEntry::new("-P 4' 2'", 1002),
+    MagneticHallSymbolEntry::new("-P 4' 2", 1003),
+    MagneticHallSymbolEntry::new("P 4' 2 -1'", 1004),
+    MagneticHallSymbolEntry::new("-P 4 2'", 1005),
+    MagneticHallSymbolEntry::new("P 4' 2' -1'", 1006),
+    MagneticHallSymbolEntry::new("P 4 2 -1'", 1007),
+    MagneticHallSymbolEntry::new("-P 4 2 1c'", 1008),
+    MagneticHallSymbolEntry::new("-P 4 2 1ab'", 1009),
+    MagneticHallSymbolEntry::new("-P 4 2 1abc'", 1010),
+    MagneticHallSymbolEntry::new("-P 4 2c", 1011),
+    MagneticHallSymbolEntry::new("-P 4 2c 1'", 1012),
+    MagneticHallSymbolEntry::new("P 4 2c' -1'", 1013),
+    MagneticHallSymbolEntry::new("-P 4' 2c'", 1014),
+    MagneticHallSymbolEntry::new("-P 4' 2c", 1015),
+    MagneticHallSymbolEntry::new("P 4' 2c -1'", 1016),
+    MagneticHallSymbolEntry::new("-P 4 2c'", 1017),
+    MagneticHallSymbolEntry::new("P 4' 2c' -1'", 1018),
+    MagneticHallSymbolEntry::new("P 4 2c -1'", 1019),
+    MagneticHallSymbolEntry::new("-P 4 2c 1c'", 1020),
+    MagneticHallSymbolEntry::new("-P 4 2c 1ab'", 1021),
+    MagneticHallSymbolEntry::new("-P 4 2c 1abc'", 1022),
+    MagneticHallSymbolEntry::new("-P 4a 2b", 1023),
+    MagneticHallSymbolEntry::new("-P 4a 2b 1'", 1024),
+    MagneticHallSymbolEntry::new("P 4a 2b' -1'", 1025),
+    MagneticHallSymbolEntry::new("-P 4a' 2b'", 1026),
+    MagneticHallSymbolEntry::new("-P 4a' 2b", 1027),
+    MagneticHallSymbolEntry::new("P 4a' 2b -1'", 1028),
+    MagneticHallSymbolEntry::new("-P 4a 2b'", 1029),
+    MagneticHallSymbolEntry::new("P 4a' 2b' -1'", 1030),
+    MagneticHallSymbolEntry::new("P 4a 2b -1'", 1031),
+    MagneticHallSymbolEntry::new("-P 4a 2b 1c'", 1032),
+    MagneticHallSymbolEntry::new("-P 4a 2b 1ab'", 1033),
+    MagneticHallSymbolEntry::new("-P 4a 2b 1abc'", 1034),
+    MagneticHallSymbolEntry::new("-P 4a 2bc", 1035),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 1'", 1036),
+    MagneticHallSymbolEntry::new("P 4a 2bc' -1'", 1037),
+    MagneticHallSymbolEntry::new("-P 4a' 2bc'", 1038),
+    MagneticHallSymbolEntry::new("-P 4a' 2bc", 1039),
+    MagneticHallSymbolEntry::new("P 4a' 2bc -1'", 1040),
+    MagneticHallSymbolEntry::new("-P 4a 2bc'", 1041),
+    MagneticHallSymbolEntry::new("P 4a' 2bc' -1'", 1042),
+    MagneticHallSymbolEntry::new("P 4a 2bc -1'", 1043),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 1c'", 1044),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 1ab'", 1045),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 1abc'", 1046),
+    MagneticHallSymbolEntry::new("-P 4 2ab", 1047),
+    MagneticHallSymbolEntry::new("-P 4 2ab 1'", 1048),
+    MagneticHallSymbolEntry::new("P 4 2ab' -1'", 1049),
+    MagneticHallSymbolEntry::new("-P 4' 2ab'", 1050),
+    MagneticHallSymbolEntry::new("-P 4' 2ab", 1051),
+    MagneticHallSymbolEntry::new("P 4' 2ab -1'", 1052),
+    MagneticHallSymbolEntry::new("-P 4 2ab'", 1053),
+    MagneticHallSymbolEntry::new("P 4' 2ab' -1'", 1054),
+    MagneticHallSymbolEntry::new("P 4 2ab -1'", 1055),
+    MagneticHallSymbolEntry::new("-P 4 2ab 1c'", 1056),
+    MagneticHallSymbolEntry::new("-P 4 2ab 1ab'", 1057),
+    MagneticHallSymbolEntry::new("-P 4 2ab 1abc'", 1058),
+    MagneticHallSymbolEntry::new("-P 4 2n", 1059),
+    MagneticHallSymbolEntry::new("-P 4 2n 1'", 1060),
+    MagneticHallSymbolEntry::new("P 4 2n' -1'", 1061),
+    MagneticHallSymbolEntry::new("-P 4' 2n'", 1062),
+    MagneticHallSymbolEntry::new("-P 4' 2n", 1063),
+    MagneticHallSymbolEntry::new("P 4' 2n -1'", 1064),
+    MagneticHallSymbolEntry::new("-P 4 2n'", 1065),
+    MagneticHallSymbolEntry::new("P 4' 2n' -1'", 1066),
+    MagneticHallSymbolEntry::new("P 4 2n -1'", 1067),
+    MagneticHallSymbolEntry::new("-P 4 2n 1c'", 1068),
+    MagneticHallSymbolEntry::new("-P 4 2n 1ab'", 1069),
+    MagneticHallSymbolEntry::new("-P 4 2n 1abc'", 1070),
+    MagneticHallSymbolEntry::new("-P 4a 2a", 1071),
+    MagneticHallSymbolEntry::new("-P 4a 2a 1'", 1072),
+    MagneticHallSymbolEntry::new("P 4a 2a' -1'", 1073),
+    MagneticHallSymbolEntry::new("-P 4a' 2a'", 1074),
+    MagneticHallSymbolEntry::new("-P 4a' 2a", 1075),
+    MagneticHallSymbolEntry::new("P 4a' 2a -1'", 1076),
+    MagneticHallSymbolEntry::new("-P 4a 2a'", 1077),
+    MagneticHallSymbolEntry::new("P 4a' 2a' -1'", 1078),
+    MagneticHallSymbolEntry::new("P 4a 2a -1'", 1079),
+    MagneticHallSymbolEntry::new("-P 4a 2a 1c'", 1080),
+    MagneticHallSymbolEntry::new("-P 4a 2a 1ab'", 1081),
+    MagneticHallSymbolEntry::new("-P 4a 2a 1abc'", 1082),
+    MagneticHallSymbolEntry::new("-P 4a 2ac", 1083),
+    MagneticHallSymbolEntry::new("-P 4a 2ac 1'", 1084),
+    MagneticHallSymbolEntry::new("P 4a 2ac' -1'", 1085),
+    MagneticHallSymbolEntry::new("-P 4a' 2ac'", 1086),
+    MagneticHallSymbolEntry::new("-P 4a' 2ac", 1087),
+    MagneticHallSymbolEntry::new("P 4a' 2ac -1'", 1088),
+    MagneticHallSymbolEntry::new("-P 4a 2ac'", 1089),
+    MagneticHallSymbolEntry::new("P 4a' 2ac' -1'", 1090),
+    MagneticHallSymbolEntry::new("P 4a 2ac -1'", 1091),
+    MagneticHallSymbolEntry::new("-P 4a 2ac 1c'", 1092),
+    MagneticHallSymbolEntry::new("-P 4a 2ac 1ab'", 1093),
+    MagneticHallSymbolEntry::new("-P 4a 2ac 1abc'", 1094),
+    MagneticHallSymbolEntry::new("-P 4c 2", 1095),
+    MagneticHallSymbolEntry::new("-P 4c 2 1'", 1096),
+    MagneticHallSymbolEntry::new("P 4c 2' -1'", 1097),
+    MagneticHallSymbolEntry::new("-P 4c' 2'", 1098),
+    MagneticHallSymbolEntry::new("-P 4c' 2", 1099),
+    MagneticHallSymbolEntry::new("P 4c' 2 -1'", 1100),
+    MagneticHallSymbolEntry::new("-P 4c 2'", 1101),
+    MagneticHallSymbolEntry::new("P 4c' 2' -1'", 1102),
+    MagneticHallSymbolEntry::new("P 4c 2 -1'", 1103),
+    MagneticHallSymbolEntry::new("-P 4c 2 1c'", 1104),
+    MagneticHallSymbolEntry::new("-P 4c 2 1ab'", 1105),
+    MagneticHallSymbolEntry::new("-P 4c 2 1abc'", 1106),
+    MagneticHallSymbolEntry::new("-P 4c 2c", 1107),
+    MagneticHallSymbolEntry::new("-P 4c 2c 1'", 1108),
+    MagneticHallSymbolEntry::new("P 4c 2c' -1'", 1109),
+    MagneticHallSymbolEntry::new("-P 4c' 2c'", 1110),
+    MagneticHallSymbolEntry::new("-P 4c' 2c", 1111),
+    MagneticHallSymbolEntry::new("P 4c' 2c -1'", 1112),
+    MagneticHallSymbolEntry::new("-P 4c 2c'", 1113),
+    MagneticHallSymbolEntry::new("P 4c' 2c' -1'", 1114),
+    MagneticHallSymbolEntry::new("P 4c 2c -1'", 1115),
+    MagneticHallSymbolEntry::new("-P 4c 2c 1c'", 1116),
+    MagneticHallSymbolEntry::new("-P 4c 2c 1ab'", 1117),
+    MagneticHallSymbolEntry::new("-P 4c 2c 1abc'", 1118),
+    MagneticHallSymbolEntry::new("-P 4ac 2b", 1119),
+    MagneticHallSymbolEntry::new("-P 4ac 2b 1'", 1120),
+    MagneticHallSymbolEntry::new("P 4ac 2b' -1'", 1121),
+    MagneticHallSymbolEntry::new("-P 4ac' 2b'", 1122),
+    MagneticHallSymbolEntry::new("-P 4ac' 2b", 1123),
+    MagneticHallSymbolEntry::new("P 4ac' 2b -1'", 1124),
+    MagneticHallSymbolEntry::new("-P 4ac 2b'", 1125),
+    MagneticHallSymbolEntry::new("P 4ac' 2b' -1'", 1126),
+    MagneticHallSymbolEntry::new("P 4ac 2b -1'", 1127),
+    MagneticHallSymbolEntry::new("-P 4ac 2b 1c'", 1128),
+    MagneticHallSymbolEntry::new("-P 4ac 2b 1ab'", 1129),
+    MagneticHallSymbolEntry::new("-P 4ac 2b 1abc'", 1130),
+    MagneticHallSymbolEntry::new("-P 4ac 2bc", 1131),
+    MagneticHallSymbolEntry::new("-P 4ac 2bc 1'", 1132),
+    MagneticHallSymbolEntry::new("P 4ac 2bc' -1'", 1133),
+    MagneticHallSymbolEntry::new("-P 4ac' 2bc'", 1134),
+    MagneticHallSymbolEntry::new("-P 4ac' 2bc", 1135),
+    MagneticHallSymbolEntry::new("P 4ac' 2bc -1'", 1136),
+    MagneticHallSymbolEntry::new("-P 4ac 2bc'", 1137),
+    MagneticHallSymbolEntry::new("P 4ac' 2bc' -1'", 1138),
+    MagneticHallSymbolEntry::new("P 4ac 2bc -1'", 1139),
+    MagneticHallSymbolEntry::new("-P 4ac 2bc 1c'", 1140),
+    MagneticHallSymbolEntry::new("-P 4ac 2bc 1ab'", 1141),
+    MagneticHallSymbolEntry::new("-P 4ac 2bc 1abc'", 1142),
+    MagneticHallSymbolEntry::new("-P 4c 2ab", 1143),
+    MagneticHallSymbolEntry::new("-P 4c 2ab 1'", 1144),
+    MagneticHallSymbolEntry::new("P 4c 2ab' -1'", 1145),
+    MagneticHallSymbolEntry::new("-P 4c' 2ab'", 1146),
+    MagneticHallSymbolEntry::new("-P 4c' 2ab", 1147),
+    MagneticHallSymbolEntry::new("P 4c' 2ab -1'", 1148),
+    MagneticHallSymbolEntry::new("-P 4c 2ab'", 1149),
+    MagneticHallSymbolEntry::new("P 4c' 2ab' -1'", 1150),
+    MagneticHallSymbolEntry::new("P 4c 2ab -1'", 1151),
+    MagneticHallSymbolEntry::new("-P 4c 2ab 1c'", 1152),
+    MagneticHallSymbolEntry::new("-P 4c 2ab 1ab'", 1153),
+    MagneticHallSymbolEntry::new("-P 4c 2ab 1abc'", 1154),
+    MagneticHallSymbolEntry::new("-P 4n 2n", 1155),
+    MagneticHallSymbolEntry::new("-P 4n 2n 1'", 1156),
+    MagneticHallSymbolEntry::new("P 4n 2n' -1'", 1157),
+    MagneticHallSymbolEntry::new("-P 4n' 2n'", 1158),
+    MagneticHallSymbolEntry::new("-P 4n' 2n", 1159),
+    MagneticHallSymbolEntry::new("P 4n' 2n -1'", 1160),
+    MagneticHallSymbolEntry::new("-P 4n 2n'", 1161),
+    MagneticHallSymbolEntry::new("P 4n' 2n' -1'", 1162),
+    MagneticHallSymbolEntry::new("P 4n 2n -1'", 1163),
+    MagneticHallSymbolEntry::new("-P 4n 2n 1c'", 1164),
+    MagneticHallSymbolEntry::new("-P 4n 2n 1ab'", 1165),
+    MagneticHallSymbolEntry::new("-P 4n 2n 1abc'", 1166),
+    MagneticHallSymbolEntry::new("-P 4ac 2a", 1167),
+    MagneticHallSymbolEntry::new("-P 4ac 2a 1'", 1168),
+    MagneticHallSymbolEntry::new("P 4ac 2a' -1'", 1169),
+    MagneticHallSymbolEntry::new("-P 4ac' 2a'", 1170),
+    MagneticHallSymbolEntry::new("-P 4ac' 2a", 1171),
+    MagneticHallSymbolEntry::new("P 4ac' 2a -1'", 1172),
+    MagneticHallSymbolEntry::new("-P 4ac 2a'", 1173),
+    MagneticHallSymbolEntry::new("P 4ac' 2a' -1'", 1174),
+    MagneticHallSymbolEntry::new("P 4ac 2a -1'", 1175),
+    MagneticHallSymbolEntry::new("-P 4ac 2a 1c'", 1176),
+    MagneticHallSymbolEntry::new("-P 4ac 2a 1ab'", 1177),
+    MagneticHallSymbolEntry::new("-P 4ac 2a 1abc'", 1178),
+    MagneticHallSymbolEntry::new("-P 4ac 2ac", 1179),
+    MagneticHallSymbolEntry::new("-P 4ac 2ac 1'", 1180),
+    MagneticHallSymbolEntry::new("P 4ac 2ac' -1'", 1181),
+    MagneticHallSymbolEntry::new("-P 4ac' 2ac'", 1182),
+    MagneticHallSymbolEntry::new("-P 4ac' 2ac", 1183),
+    MagneticHallSymbolEntry::new("P 4ac' 2ac -1'", 1184),
+    MagneticHallSymbolEntry::new("-P 4ac 2ac'", 1185),
+    MagneticHallSymbolEntry::new("P 4ac' 2ac' -1'", 1186),
+    MagneticHallSymbolEntry::new("P 4ac 2ac -1'", 1187),
+    MagneticHallSymbolEntry::new("-P 4ac 2ac 1c'", 1188),
+    MagneticHallSymbolEntry::new("-P 4ac 2ac 1ab'", 1189),
+    MagneticHallSymbolEntry::new("-P 4ac 2ac 1abc'", 1190),
+    MagneticHallSymbolEntry::new("-I 4 2", 1191),
+    MagneticHallSymbolEntry::new("-I 4 2 1'", 1192),
+    MagneticHallSymbolEntry::new("I 4 2' -1'", 1193),
+    MagneticHallSymbolEntry::new("-I 4' 2'", 1194),
+    MagneticHallSymbolEntry::new("-I 4' 2", 1195),
+    MagneticHallSymbolEntry::new("I 4' 2 -1'", 1196),
+    MagneticHallSymbolEntry::new("-I 4 2'", 1197),
+    MagneticHallSymbolEntry::new("I 4' 2' -1'", 1198),
+    MagneticHallSymbolEntry::new("I 4 2 -1'", 1199),
+    MagneticHallSymbolEntry::new("-I 4 2 1c'", 1200),
+    MagneticHallSymbolEntry::new("-I 4 2c", 1201),
+    MagneticHallSymbolEntry::new("-I 4 2c 1'", 1202),
+    MagneticHallSymbolEntry::new("I 4 2c' -1'", 1203),
+    MagneticHallSymbolEntry::new("-I 4' 2c'", 1204),
+    MagneticHallSymbolEntry::new("-I 4' 2c", 1205),
+    MagneticHallSymbolEntry::new("I 4' 2c -1'", 1206),
+    MagneticHallSymbolEntry::new("-I 4 2c'", 1207),
+    MagneticHallSymbolEntry::new("I 4' 2c' -1'", 1208),
+    MagneticHallSymbolEntry::new("I 4 2c -1'", 1209),
+    MagneticHallSymbolEntry::new("-I 4 2c 1c'", 1210),
+    MagneticHallSymbolEntry::new("-I 4bd 2", 1211),
+    MagneticHallSymbolEntry::new("-I 4bd 2 1'", 1212),
+    MagneticHallSymbolEntry::new("I 4bd 2' -1'", 1213),
+    MagneticHallSymbolEntry::new("-I 4bd' 2'", 1214),
+    MagneticHallSymbolEntry::new("-I 4bd' 2", 1215),
+    MagneticHallSymbolEntry::new("I 4bd' 2 -1'", 1216),
+    MagneticHallSymbolEntry::new("-I 4bd 2'", 1217),
+    MagneticHallSymbolEntry::new("I 4bd' 2' -1'", 1218),
+    MagneticHallSymbolEntry::new("I 4bd 2 -1'", 1219),
+    MagneticHallSymbolEntry::new("-I 4bd 2 1c'", 1220),
+    MagneticHallSymbolEntry::new("-I 4bd 2c", 1221),
+    MagneticHallSymbolEntry::new("-I 4bd 2c 1'", 1222),
+    MagneticHallSymbolEntry::new("I 4bd 2c' -1'", 1223),
+    MagneticHallSymbolEntry::new("-I 4bd' 2c'", 1224),
+    MagneticHallSymbolEntry::new("-I 4bd' 2c", 1225),
+    MagneticHallSymbolEntry::new("I 4bd' 2c -1'", 1226),
+    MagneticHallSymbolEntry::new("-I 4bd 2c'", 1227),
+    MagneticHallSymbolEntry::new("I 4bd' 2c' -1'", 1228),
+    MagneticHallSymbolEntry::new("I 4bd 2c -1'", 1229),
+    MagneticHallSymbolEntry::new("-I 4bd 2c 1c'", 1230),
+    MagneticHallSymbolEntry::new("P 3", 1231),
+    MagneticHallSymbolEntry::new("P 3 1'", 1232),
+    MagneticHallSymbolEntry::new("P 3 1c'", 1233),
+    MagneticHallSymbolEntry::new("P 31", 1234),
+    MagneticHallSymbolEntry::new("P 31 1'", 1235),
+    MagneticHallSymbolEntry::new("P 31 1c'", 1236),
+    MagneticHallSymbolEntry::new("P 32", 1237),
+    MagneticHallSymbolEntry::new("P 32 1'", 1238),
+    MagneticHallSymbolEntry::new("P 32 1c'", 1239),
+    MagneticHallSymbolEntry::new("R 3", 1240),
+    MagneticHallSymbolEntry::new("R 3 1'", 1241),
+    MagneticHallSymbolEntry::new("R 3 1c'", 1242),
+    MagneticHallSymbolEntry::new("-P 3", 1243),
+    MagneticHallSymbolEntry::new("-P 3 1'", 1244),
+    MagneticHallSymbolEntry::new("P 3 -1'", 1245),
+    MagneticHallSymbolEntry::new("-P 3 1c'", 1246),
+    MagneticHallSymbolEntry::new("-R 3", 1247),
+    MagneticHallSymbolEntry::new("-R 3 1'", 1248),
+    MagneticHallSymbolEntry::new("R 3 -1'", 1249),
+    MagneticHallSymbolEntry::new("-R 3 1c'", 1250),
+    MagneticHallSymbolEntry::new("P 3 2", 1251),
+    MagneticHallSymbolEntry::new("P 3 2 1'", 1252),
+    MagneticHallSymbolEntry::new("P 3 2'", 1253),
+    MagneticHallSymbolEntry::new("P 3 2 1c'", 1254),
+    MagneticHallSymbolEntry::new("P 3 2=", 1255),
+    MagneticHallSymbolEntry::new("P 3 2= 1'", 1256),
+    MagneticHallSymbolEntry::new("P 3 2='", 1257),
+    MagneticHallSymbolEntry::new("P 3 2= 1c'", 1258),
+    MagneticHallSymbolEntry::new("P 31 2 (0 0 4)", 1259),
+    MagneticHallSymbolEntry::new("P 31 2 1' (0 0 4)", 1260),
+    MagneticHallSymbolEntry::new("P 31 2' (0 0 4)", 1261),
+    MagneticHallSymbolEntry::new("P 31 2 1c' (0 0 4)", 1262),
+    MagneticHallSymbolEntry::new("P 31 2=", 1263),
+    MagneticHallSymbolEntry::new("P 31 2= 1'", 1264),
+    MagneticHallSymbolEntry::new("P 31 2='", 1265),
+    MagneticHallSymbolEntry::new("P 31 2= 1c'", 1266),
+    MagneticHallSymbolEntry::new("P 32 2 (0 0 2)", 1267),
+    MagneticHallSymbolEntry::new("P 32 2 1' (0 0 2)", 1268),
+    MagneticHallSymbolEntry::new("P 32 2' (0 0 2)", 1269),
+    MagneticHallSymbolEntry::new("P 32 2 1c' (0 0 2)", 1270),
+    MagneticHallSymbolEntry::new("P 32 2=", 1271),
+    MagneticHallSymbolEntry::new("P 32 2= 1'", 1272),
+    MagneticHallSymbolEntry::new("P 32 2='", 1273),
+    MagneticHallSymbolEntry::new("P 32 2= 1c'", 1274),
+    MagneticHallSymbolEntry::new("R 3 2=", 1275),
+    MagneticHallSymbolEntry::new("R 3 2= 1'", 1276),
+    MagneticHallSymbolEntry::new("R 3 2='", 1277),
+    MagneticHallSymbolEntry::new("R 3 2= 1c'", 1278),
+    MagneticHallSymbolEntry::new("P 3 -2=", 1279),
+    MagneticHallSymbolEntry::new("P 3 -2= 1'", 1280),
+    MagneticHallSymbolEntry::new("P 3 -2='", 1281),
+    MagneticHallSymbolEntry::new("P 3 -2= 1c'", 1282),
+    MagneticHallSymbolEntry::new("P 3 -2", 1283),
+    MagneticHallSymbolEntry::new("P 3 -2 1'", 1284),
+    MagneticHallSymbolEntry::new("P 3 -2'", 1285),
+    MagneticHallSymbolEntry::new("P 3 -2 1c'", 1286),
+    MagneticHallSymbolEntry::new("P 3 -2=c", 1287),
+    MagneticHallSymbolEntry::new("P 3 -2=c 1'", 1288),
+    MagneticHallSymbolEntry::new("P 3 -2=c'", 1289),
+    MagneticHallSymbolEntry::new("P 3 -2=c 1c'", 1290),
+    MagneticHallSymbolEntry::new("P 3 -2c", 1291),
+    MagneticHallSymbolEntry::new("P 3 -2c 1'", 1292),
+    MagneticHallSymbolEntry::new("P 3 -2c'", 1293),
+    MagneticHallSymbolEntry::new("P 3 -2c 1c'", 1294),
+    MagneticHallSymbolEntry::new("R 3 -2=", 1295),
+    MagneticHallSymbolEntry::new("R 3 -2= 1'", 1296),
+    MagneticHallSymbolEntry::new("R 3 -2='", 1297),
+    MagneticHallSymbolEntry::new("R 3 -2= 1c'", 1298),
+    MagneticHallSymbolEntry::new("R 3 -2=c", 1299),
+    MagneticHallSymbolEntry::new("R 3 -2=c 1'", 1300),
+    MagneticHallSymbolEntry::new("R 3 -2=c'", 1301),
+    MagneticHallSymbolEntry::new("R 3 -2=c 1c'", 1302),
+    MagneticHallSymbolEntry::new("-P 3 2", 1303),
+    MagneticHallSymbolEntry::new("-P 3 2 1'", 1304),
+    MagneticHallSymbolEntry::new("P 3 2' -1'", 1305),
+    MagneticHallSymbolEntry::new("P 3 2 -1'", 1306),
+    MagneticHallSymbolEntry::new("-P 3 2'", 1307),
+    MagneticHallSymbolEntry::new("-P 3 2 1c'", 1308),
+    MagneticHallSymbolEntry::new("-P 3 2c", 1309),
+    MagneticHallSymbolEntry::new("-P 3 2c 1'", 1310),
+    MagneticHallSymbolEntry::new("P 3 2c' -1'", 1311),
+    MagneticHallSymbolEntry::new("P 3 2c -1'", 1312),
+    MagneticHallSymbolEntry::new("-P 3 2c'", 1313),
+    MagneticHallSymbolEntry::new("-P 3 2c 1c'", 1314),
+    MagneticHallSymbolEntry::new("-P 3 2=", 1315),
+    MagneticHallSymbolEntry::new("-P 3 2= 1'", 1316),
+    MagneticHallSymbolEntry::new("P 3 2=' -1'", 1317),
+    MagneticHallSymbolEntry::new("P 3 2= -1'", 1318),
+    MagneticHallSymbolEntry::new("-P 3 2='", 1319),
+    MagneticHallSymbolEntry::new("-P 3 2= 1c'", 1320),
+    MagneticHallSymbolEntry::new("-P 3 2=c", 1321),
+    MagneticHallSymbolEntry::new("-P 3 2=c 1'", 1322),
+    MagneticHallSymbolEntry::new("P 3 2=c' -1'", 1323),
+    MagneticHallSymbolEntry::new("P 3 2=c -1'", 1324),
+    MagneticHallSymbolEntry::new("-P 3 2=c'", 1325),
+    MagneticHallSymbolEntry::new("-P 3 2=c 1c'", 1326),
+    MagneticHallSymbolEntry::new("-R 3 2=", 1327),
+    MagneticHallSymbolEntry::new("-R 3 2= 1'", 1328),
+    MagneticHallSymbolEntry::new("R 3 2=' -1'", 1329),
+    MagneticHallSymbolEntry::new("R 3 2= -1'", 1330),
+    MagneticHallSymbolEntry::new("-R 3 2='", 1331),
+    MagneticHallSymbolEntry::new("-R 3 2= 1c'", 1332),
+    MagneticHallSymbolEntry::new("-R 3 2=c", 1333),
+    MagneticHallSymbolEntry::new("-R 3 2=c 1'", 1334),
+    MagneticHallSymbolEntry::new("R 3 2=c' -1'", 1335),
+    MagneticHallSymbolEntry::new("R 3 2=c -1'", 1336),
+    MagneticHallSymbolEntry::new("-R 3 2=c'", 1337),
+    MagneticHallSymbolEntry::new("-R 3 2=c 1c'", 1338),
+    MagneticHallSymbolEntry::new("P 6", 1339),
+    MagneticHallSymbolEntry::new("P 6 1'", 1340),
+    MagneticHallSymbolEntry::new("P 6'", 1341),
+    MagneticHallSymbolEntry::new("P 6 1c'", 1342),
+    MagneticHallSymbolEntry::new("P 61", 1343),
+    MagneticHallSymbolEntry::new("P 61 1'", 1344),
+    MagneticHallSymbolEntry::new("P 61'", 1345),
+    MagneticHallSymbolEntry::new("P 61 1c'", 1346),
+    MagneticHallSymbolEntry::new("P 65", 1347),
+    MagneticHallSymbolEntry::new("P 65 1'", 1348),
+    MagneticHallSymbolEntry::new("P 65'", 1349),
+    MagneticHallSymbolEntry::new("P 65 1c'", 1350),
+    MagneticHallSymbolEntry::new("P 62", 1351),
+    MagneticHallSymbolEntry::new("P 62 1'", 1352),
+    MagneticHallSymbolEntry::new("P 62'", 1353),
+    MagneticHallSymbolEntry::new("P 62 1c'", 1354),
+    MagneticHallSymbolEntry::new("P 64", 1355),
+    MagneticHallSymbolEntry::new("P 64 1'", 1356),
+    MagneticHallSymbolEntry::new("P 64'", 1357),
+    MagneticHallSymbolEntry::new("P 64 1c'", 1358),
+    MagneticHallSymbolEntry::new("P 6c", 1359),
+    MagneticHallSymbolEntry::new("P 6c 1'", 1360),
+    MagneticHallSymbolEntry::new("P 6c'", 1361),
+    MagneticHallSymbolEntry::new("P 6c 1c'", 1362),
+    MagneticHallSymbolEntry::new("P -6", 1363),
+    MagneticHallSymbolEntry::new("P -6 1'", 1364),
+    MagneticHallSymbolEntry::new("P -6'", 1365),
+    MagneticHallSymbolEntry::new("P -6 1c'", 1366),
+    MagneticHallSymbolEntry::new("-P 6", 1367),
+    MagneticHallSymbolEntry::new("-P 6 1'", 1368),
+    MagneticHallSymbolEntry::new("P 6' -1'", 1369),
+    MagneticHallSymbolEntry::new("P 6 -1'", 1370),
+    MagneticHallSymbolEntry::new("-P 6'", 1371),
+    MagneticHallSymbolEntry::new("-P 6 1c'", 1372),
+    MagneticHallSymbolEntry::new("-P 6c", 1373),
+    MagneticHallSymbolEntry::new("-P 6c 1'", 1374),
+    MagneticHallSymbolEntry::new("P 6c' -1'", 1375),
+    MagneticHallSymbolEntry::new("P 6c -1'", 1376),
+    MagneticHallSymbolEntry::new("-P 6c'", 1377),
+    MagneticHallSymbolEntry::new("-P 6c 1c'", 1378),
+    MagneticHallSymbolEntry::new("P 6 2", 1379),
+    MagneticHallSymbolEntry::new("P 6 2 1'", 1380),
+    MagneticHallSymbolEntry::new("P 6' 2", 1381),
+    MagneticHallSymbolEntry::new("P 6' 2'", 1382),
+    MagneticHallSymbolEntry::new("P 6 2'", 1383),
+    MagneticHallSymbolEntry::new("P 6 2 1c'", 1384),
+    MagneticHallSymbolEntry::new("P 61 2 (0 0 5)", 1385),
+    MagneticHallSymbolEntry::new("P 61 2 1' (0 0 5)", 1386),
+    MagneticHallSymbolEntry::new("P 61' 2 (0 0 5)", 1387),
+    MagneticHallSymbolEntry::new("P 61' 2' (0 0 5)", 1388),
+    MagneticHallSymbolEntry::new("P 61 2' (0 0 5)", 1389),
+    MagneticHallSymbolEntry::new("P 61 2 1c' (0 0 5)", 1390),
+    MagneticHallSymbolEntry::new("P 65 2 (0 0 1)", 1391),
+    MagneticHallSymbolEntry::new("P 65 2 1' (0 0 1)", 1392),
+    MagneticHallSymbolEntry::new("P 65' 2 (0 0 1)", 1393),
+    MagneticHallSymbolEntry::new("P 65' 2' (0 0 1)", 1394),
+    MagneticHallSymbolEntry::new("P 65 2' (0 0 1)", 1395),
+    MagneticHallSymbolEntry::new("P 65 2 1c' (0 0 1)", 1396),
+    MagneticHallSymbolEntry::new("P 62 2 (0 0 4)", 1397),
+    MagneticHallSymbolEntry::new("P 62 2 1' (0 0 4)", 1398),
+    MagneticHallSymbolEntry::new("P 62' 2 (0 0 4)", 1399),
+    MagneticHallSymbolEntry::new("P 62' 2' (0 0 4)", 1400),
+    MagneticHallSymbolEntry::new("P 62 2' (0 0 4)", 1401),
+    MagneticHallSymbolEntry::new("P 62 2 1c' (0 0 4)", 1402),
+    MagneticHallSymbolEntry::new("P 64 2 (0 0 2)", 1403),
+    MagneticHallSymbolEntry::new("P 64 2 1' (0 0 2)", 1404),
+    MagneticHallSymbolEntry::new("P 64' 2 (0 0 2)", 1405),
+    MagneticHallSymbolEntry::new("P 64' 2' (0 0 2)", 1406),
+    MagneticHallSymbolEntry::new("P 64 2' (0 0 2)", 1407),
+    MagneticHallSymbolEntry::new("P 64 2 1c' (0 0 2)", 1408),
+    MagneticHallSymbolEntry::new("P 6c 2c", 1409),
+    MagneticHallSymbolEntry::new("P 6c 2c 1'", 1410),
+    MagneticHallSymbolEntry::new("P 6c' 2c", 1411),
+    MagneticHallSymbolEntry::new("P 6c' 2c'", 1412),
+    MagneticHallSymbolEntry::new("P 6c 2c'", 1413),
+    MagneticHallSymbolEntry::new("P 6c 2c 1c'", 1414),
+    MagneticHallSymbolEntry::new("P 6 -2", 1415),
+    MagneticHallSymbolEntry::new("P 6 -2 1'", 1416),
+    MagneticHallSymbolEntry::new("P 6' -2", 1417),
+    MagneticHallSymbolEntry::new("P 6' -2'", 1418),
+    MagneticHallSymbolEntry::new("P 6 -2'", 1419),
+    MagneticHallSymbolEntry::new("P 6 -2 1c'", 1420),
+    MagneticHallSymbolEntry::new("P 6 -2c", 1421),
+    MagneticHallSymbolEntry::new("P 6 -2c 1'", 1422),
+    MagneticHallSymbolEntry::new("P 6' -2c", 1423),
+    MagneticHallSymbolEntry::new("P 6' -2c'", 1424),
+    MagneticHallSymbolEntry::new("P 6 -2c'", 1425),
+    MagneticHallSymbolEntry::new("P 6 -2c 1c'", 1426),
+    MagneticHallSymbolEntry::new("P 6c -2", 1427),
+    MagneticHallSymbolEntry::new("P 6c -2 1'", 1428),
+    MagneticHallSymbolEntry::new("P 6c' -2", 1429),
+    MagneticHallSymbolEntry::new("P 6c' -2'", 1430),
+    MagneticHallSymbolEntry::new("P 6c -2'", 1431),
+    MagneticHallSymbolEntry::new("P 6c -2 1c'", 1432),
+    MagneticHallSymbolEntry::new("P 6c -2c", 1433),
+    MagneticHallSymbolEntry::new("P 6c -2c 1'", 1434),
+    MagneticHallSymbolEntry::new("P 6c' -2c", 1435),
+    MagneticHallSymbolEntry::new("P 6c' -2c'", 1436),
+    MagneticHallSymbolEntry::new("P 6c -2c'", 1437),
+    MagneticHallSymbolEntry::new("P 6c -2c 1c'", 1438),
+    MagneticHallSymbolEntry::new("P -6 2", 1439),
+    MagneticHallSymbolEntry::new("P -6 2 1'", 1440),
+    MagneticHallSymbolEntry::new("P -6' 2", 1441),
+    MagneticHallSymbolEntry::new("P -6' 2'", 1442),
+    MagneticHallSymbolEntry::new("P -6 2'", 1443),
+    MagneticHallSymbolEntry::new("P -6 2 1c'", 1444),
+    MagneticHallSymbolEntry::new("P -6c 2", 1445),
+    MagneticHallSymbolEntry::new("P -6c 2 1'", 1446),
+    MagneticHallSymbolEntry::new("P -6c' 2", 1447),
+    MagneticHallSymbolEntry::new("P -6c' 2'", 1448),
+    MagneticHallSymbolEntry::new("P -6c 2'", 1449),
+    MagneticHallSymbolEntry::new("P -6c 2 1c'", 1450),
+    MagneticHallSymbolEntry::new("P -6 -2", 1451),
+    MagneticHallSymbolEntry::new("P -6 -2 1'", 1452),
+    MagneticHallSymbolEntry::new("P -6' -2", 1453),
+    MagneticHallSymbolEntry::new("P -6' -2'", 1454),
+    MagneticHallSymbolEntry::new("P -6 -2'", 1455),
+    MagneticHallSymbolEntry::new("P -6 -2 1c'", 1456),
+    MagneticHallSymbolEntry::new("P -6c -2c", 1457),
+    MagneticHallSymbolEntry::new("P -6c -2c 1'", 1458),
+    MagneticHallSymbolEntry::new("P -6c' -2c", 1459),
+    MagneticHallSymbolEntry::new("P -6c' -2c'", 1460),
+    MagneticHallSymbolEntry::new("P -6c -2c'", 1461),
+    MagneticHallSymbolEntry::new("P -6c -2c 1c'", 1462),
+    MagneticHallSymbolEntry::new("-P 6 2", 1463),
+    MagneticHallSymbolEntry::new("-P 6 2 1'", 1464),
+    MagneticHallSymbolEntry::new("P 6 2' -1'", 1465),
+    MagneticHallSymbolEntry::new("P 6' 2' -1'", 1466),
+    MagneticHallSymbolEntry::new("P 6' 2 -1'", 1467),
+    MagneticHallSymbolEntry::new("-P 6' 2", 1468),
+    MagneticHallSymbolEntry::new("-P 6' 2'", 1469),
+    MagneticHallSymbolEntry::new("-P 6 2'", 1470),
+    MagneticHallSymbolEntry::new("P 6 2 -1'", 1471),
+    MagneticHallSymbolEntry::new("-P 6 2 1c'", 1472),
+    MagneticHallSymbolEntry::new("-P 6 2c", 1473),
+    MagneticHallSymbolEntry::new("-P 6 2c 1'", 1474),
+    MagneticHallSymbolEntry::new("P 6 2c' -1'", 1475),
+    MagneticHallSymbolEntry::new("P 6' 2c' -1'", 1476),
+    MagneticHallSymbolEntry::new("P 6' 2c -1'", 1477),
+    MagneticHallSymbolEntry::new("-P 6' 2c", 1478),
+    MagneticHallSymbolEntry::new("-P 6' 2c'", 1479),
+    MagneticHallSymbolEntry::new("-P 6 2c'", 1480),
+    MagneticHallSymbolEntry::new("P 6 2c -1'", 1481),
+    MagneticHallSymbolEntry::new("-P 6 2c 1c'", 1482),
+    MagneticHallSymbolEntry::new("-P 6c 2", 1483),
+    MagneticHallSymbolEntry::new("-P 6c 2 1'", 1484),
+    MagneticHallSymbolEntry::new("P 6c 2' -1'", 1485),
+    MagneticHallSymbolEntry::new("P 6c' 2' -1'", 1486),
+    MagneticHallSymbolEntry::new("P 6c' 2 -1'", 1487),
+    MagneticHallSymbolEntry::new("-P 6c' 2", 1488),
+    MagneticHallSymbolEntry::new("-P 6c' 2'", 1489),
+    MagneticHallSymbolEntry::new("-P 6c 2'", 1490),
+    MagneticHallSymbolEntry::new("P 6c 2 -1'", 1491),
+    MagneticHallSymbolEntry::new("-P 6c 2 1c'", 1492),
+    MagneticHallSymbolEntry::new("-P 6c 2c", 1493),
+    MagneticHallSymbolEntry::new("-P 6c 2c 1'", 1494),
+    MagneticHallSymbolEntry::new("P 6c 2c' -1'", 1495),
+    MagneticHallSymbolEntry::new("P 6c' 2c' -1'", 1496),
+    MagneticHallSymbolEntry::new("P 6c' 2c -1'", 1497),
+    MagneticHallSymbolEntry::new("-P 6c' 2c", 1498),
+    MagneticHallSymbolEntry::new("-P 6c' 2c'", 1499),
+    MagneticHallSymbolEntry::new("-P 6c 2c'", 1500),
+    MagneticHallSymbolEntry::new("P 6c 2c -1'", 1501),
+    MagneticHallSymbolEntry::new("-P 6c 2c 1c'", 1502),
+    MagneticHallSymbolEntry::new("P 2 2 3", 1503),
+    MagneticHallSymbolEntry::new("P 2 2 3 1'", 1504),
+    MagneticHallSymbolEntry::new("P 2 2 3 1abc'", 1505),
+    MagneticHallSymbolEntry::new("F 2 2 3", 1506),
+    MagneticHallSymbolEntry::new("F 2 2 3 1'", 1507),
+    MagneticHallSymbolEntry::new("F 2 2 3 1abc'", 1508),
+    MagneticHallSymbolEntry::new("I 2 2 3", 1509),
+    MagneticHallSymbolEntry::new("I 2 2 3 1'", 1510),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 3", 1511),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 3 1'", 1512),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 3 1abc'", 1513),
+    MagneticHallSymbolEntry::new("I 2b 2c 3", 1514),
+    MagneticHallSymbolEntry::new("I 2b 2c 3 1'", 1515),
+    MagneticHallSymbolEntry::new("-P 2 2 3", 1516),
+    MagneticHallSymbolEntry::new("-P 2 2 3 1'", 1517),
+    MagneticHallSymbolEntry::new("P 2 2 3 -1'", 1518),
+    MagneticHallSymbolEntry::new("-P 2 2 3 1abc'", 1519),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 3", 1520),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 3 1'", 1521),
+    MagneticHallSymbolEntry::new("P 2ab 2bc 3 -1'", 1522),
+    MagneticHallSymbolEntry::new("-P 2ab 2bc 3 1abc'", 1523),
+    MagneticHallSymbolEntry::new("-F 2 2 3", 1524),
+    MagneticHallSymbolEntry::new("-F 2 2 3 1'", 1525),
+    MagneticHallSymbolEntry::new("F 2 2 3 -1'", 1526),
+    MagneticHallSymbolEntry::new("-F 2 2 3 1abc'", 1527),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw 3", 1528),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw 3 1'", 1529),
+    MagneticHallSymbolEntry::new("F 2uv 2vw 3 -1'", 1530),
+    MagneticHallSymbolEntry::new("-F 2uv 2vw 3 1abc'", 1531),
+    MagneticHallSymbolEntry::new("-I 2 2 3", 1532),
+    MagneticHallSymbolEntry::new("-I 2 2 3 1'", 1533),
+    MagneticHallSymbolEntry::new("I 2 2 3 -1'", 1534),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 3", 1535),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 3 1'", 1536),
+    MagneticHallSymbolEntry::new("P 2ac 2ab 3 -1'", 1537),
+    MagneticHallSymbolEntry::new("-P 2ac 2ab 3 1abc'", 1538),
+    MagneticHallSymbolEntry::new("-I 2b 2c 3", 1539),
+    MagneticHallSymbolEntry::new("-I 2b 2c 3 1'", 1540),
+    MagneticHallSymbolEntry::new("I 2b 2c 3 -1'", 1541),
+    MagneticHallSymbolEntry::new("P 4 2 3", 1542),
+    MagneticHallSymbolEntry::new("P 4 2 3 1'", 1543),
+    MagneticHallSymbolEntry::new("P 4' 2 3", 1544),
+    MagneticHallSymbolEntry::new("P 4 2 3 1abc'", 1545),
+    MagneticHallSymbolEntry::new("P 4n 2 3", 1546),
+    MagneticHallSymbolEntry::new("P 4n 2 3 1'", 1547),
+    MagneticHallSymbolEntry::new("P 4n' 2 3", 1548),
+    MagneticHallSymbolEntry::new("P 4n 2 3 1abc'", 1549),
+    MagneticHallSymbolEntry::new("F 4 2 3", 1550),
+    MagneticHallSymbolEntry::new("F 4 2 3 1'", 1551),
+    MagneticHallSymbolEntry::new("F 4' 2 3", 1552),
+    MagneticHallSymbolEntry::new("F 4 2 3 1abc'", 1553),
+    MagneticHallSymbolEntry::new("F 4d 2 3", 1554),
+    MagneticHallSymbolEntry::new("F 4d 2 3 1'", 1555),
+    MagneticHallSymbolEntry::new("F 4d' 2 3", 1556),
+    MagneticHallSymbolEntry::new("F 4d 2 3 1abc'", 1557),
+    MagneticHallSymbolEntry::new("I 4 2 3", 1558),
+    MagneticHallSymbolEntry::new("I 4 2 3 1'", 1559),
+    MagneticHallSymbolEntry::new("I 4' 2 3", 1560),
+    MagneticHallSymbolEntry::new("P 4acd 2ab 3", 1561),
+    MagneticHallSymbolEntry::new("P 4acd 2ab 3 1'", 1562),
+    MagneticHallSymbolEntry::new("P 4acd' 2ab 3", 1563),
+    MagneticHallSymbolEntry::new("P 4acd 2ab 3 1abc'", 1564),
+    MagneticHallSymbolEntry::new("P 4bd 2ab 3", 1565),
+    MagneticHallSymbolEntry::new("P 4bd 2ab 3 1'", 1566),
+    MagneticHallSymbolEntry::new("P 4bd' 2ab 3", 1567),
+    MagneticHallSymbolEntry::new("P 4bd 2ab 3 1abc'", 1568),
+    MagneticHallSymbolEntry::new("I 4bd 2c 3", 1569),
+    MagneticHallSymbolEntry::new("I 4bd 2c 3 1'", 1570),
+    MagneticHallSymbolEntry::new("I 4bd' 2c 3", 1571),
+    MagneticHallSymbolEntry::new("P -4 2 3", 1572),
+    MagneticHallSymbolEntry::new("P -4 2 3 1'", 1573),
+    MagneticHallSymbolEntry::new("P -4' 2 3", 1574),
+    MagneticHallSymbolEntry::new("P -4 2 3 1abc'", 1575),
+    MagneticHallSymbolEntry::new("F -4 2 3", 1576),
+    MagneticHallSymbolEntry::new("F -4 2 3 1'", 1577),
+    MagneticHallSymbolEntry::new("F -4' 2 3", 1578),
+    MagneticHallSymbolEntry::new("F -4 2 3 1abc'", 1579),
+    MagneticHallSymbolEntry::new("I -4 2 3", 1580),
+    MagneticHallSymbolEntry::new("I -4 2 3 1'", 1581),
+    MagneticHallSymbolEntry::new("I -4' 2 3", 1582),
+    MagneticHallSymbolEntry::new("P -4n 2 3", 1583),
+    MagneticHallSymbolEntry::new("P -4n 2 3 1'", 1584),
+    MagneticHallSymbolEntry::new("P -4n' 2 3", 1585),
+    MagneticHallSymbolEntry::new("P -4n 2 3 1abc'", 1586),
+    MagneticHallSymbolEntry::new("F -4c 2 3", 1587),
+    MagneticHallSymbolEntry::new("F -4c 2 3 1'", 1588),
+    MagneticHallSymbolEntry::new("F -4c' 2 3", 1589),
+    MagneticHallSymbolEntry::new("F -4c 2 3 1abc'", 1590),
+    MagneticHallSymbolEntry::new("I -4bd 2c 3", 1591),
+    MagneticHallSymbolEntry::new("I -4bd 2c 3 1'", 1592),
+    MagneticHallSymbolEntry::new("I -4bd' 2c 3", 1593),
+    MagneticHallSymbolEntry::new("-P 4 2 3", 1594),
+    MagneticHallSymbolEntry::new("-P 4 2 3 1'", 1595),
+    MagneticHallSymbolEntry::new("P 4' 2 3 -1'", 1596),
+    MagneticHallSymbolEntry::new("-P 4' 2 3", 1597),
+    MagneticHallSymbolEntry::new("P 4 2 3 -1'", 1598),
+    MagneticHallSymbolEntry::new("-P 4 2 3 1abc'", 1599),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 3", 1600),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 3 1'", 1601),
+    MagneticHallSymbolEntry::new("P 4a' 2bc 3 -1'", 1602),
+    MagneticHallSymbolEntry::new("-P 4a' 2bc 3", 1603),
+    MagneticHallSymbolEntry::new("P 4a 2bc 3 -1'", 1604),
+    MagneticHallSymbolEntry::new("-P 4a 2bc 3 1abc'", 1605),
+    MagneticHallSymbolEntry::new("-P 4n 2 3", 1606),
+    MagneticHallSymbolEntry::new("-P 4n 2 3 1'", 1607),
+    MagneticHallSymbolEntry::new("P 4n' 2 3 -1'", 1608),
+    MagneticHallSymbolEntry::new("-P 4n' 2 3", 1609),
+    MagneticHallSymbolEntry::new("P 4n 2 3 -1'", 1610),
+    MagneticHallSymbolEntry::new("-P 4n 2 3 1abc'", 1611),
+    MagneticHallSymbolEntry::new("-P 4bc 2bc 3", 1612),
+    MagneticHallSymbolEntry::new("-P 4bc 2bc 3 1'", 1613),
+    MagneticHallSymbolEntry::new("P 4bc' 2bc 3 -1'", 1614),
+    MagneticHallSymbolEntry::new("-P 4bc' 2bc 3", 1615),
+    MagneticHallSymbolEntry::new("P 4bc 2bc 3 -1'", 1616),
+    MagneticHallSymbolEntry::new("-P 4bc 2bc 3 1abc'", 1617),
+    MagneticHallSymbolEntry::new("-F 4 2 3", 1618),
+    MagneticHallSymbolEntry::new("-F 4 2 3 1'", 1619),
+    MagneticHallSymbolEntry::new("F 4' 2 3 -1'", 1620),
+    MagneticHallSymbolEntry::new("-F 4' 2 3", 1621),
+    MagneticHallSymbolEntry::new("F 4 2 3 -1'", 1622),
+    MagneticHallSymbolEntry::new("-F 4 2 3 1abc'", 1623),
+    MagneticHallSymbolEntry::new("-F 4c 2 3", 1624),
+    MagneticHallSymbolEntry::new("-F 4c 2 3 1'", 1625),
+    MagneticHallSymbolEntry::new("F 4c' 2 3 -1'", 1626),
+    MagneticHallSymbolEntry::new("-F 4c' 2 3", 1627),
+    MagneticHallSymbolEntry::new("F 4c 2 3 -1'", 1628),
+    MagneticHallSymbolEntry::new("-F 4c 2 3 1abc'", 1629),
+    MagneticHallSymbolEntry::new("-F 4vw 2vw 3", 1630),
+    MagneticHallSymbolEntry::new("-F 4vw 2vw 3 1'", 1631),
+    MagneticHallSymbolEntry::new("F 4vw' 2vw 3 -1'", 1632),
+    MagneticHallSymbolEntry::new("-F 4vw' 2vw 3", 1633),
+    MagneticHallSymbolEntry::new("F 4vw 2vw 3 -1'", 1634),
+    MagneticHallSymbolEntry::new("-F 4vw 2vw 3 1abc'", 1635),
+    MagneticHallSymbolEntry::new("-F 4cvw 2vw 3", 1636),
+    MagneticHallSymbolEntry::new("-F 4cvw 2vw 3 1'", 1637),
+    MagneticHallSymbolEntry::new("F 4cvw' 2vw 3 -1'", 1638),
+    MagneticHallSymbolEntry::new("-F 4cvw' 2vw 3", 1639),
+    MagneticHallSymbolEntry::new("F 4cvw 2vw 3 -1'", 1640),
+    MagneticHallSymbolEntry::new("-F 4cvw 2vw 3 1abc'", 1641),
+    MagneticHallSymbolEntry::new("-I 4 2 3", 1642),
+    MagneticHallSymbolEntry::new("-I 4 2 3 1'", 1643),
+    MagneticHallSymbolEntry::new("I 4' 2 3 -1'", 1644),
+    MagneticHallSymbolEntry::new("-I 4' 2 3", 1645),
+    MagneticHallSymbolEntry::new("I 4 2 3 -1'", 1646),
+    MagneticHallSymbolEntry::new("-I 4bd 2c 3", 1647),
+    MagneticHallSymbolEntry::new("-I 4bd 2c 3 1'", 1648),
+    MagneticHallSymbolEntry::new("I 4bd' 2c 3 -1'", 1649),
+    MagneticHallSymbolEntry::new("-I 4bd' 2c 3", 1650),
+    MagneticHallSymbolEntry::new("I 4bd 2c 3 -1'", 1651),
+];
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use crate::data::hall_symbol::MagneticHallSymbol;
+
+    fn iter_magnetic_hall_symbol_entry() -> impl Iterator<Item = &'static MagneticHallSymbolEntry> {
+        MAGNETIC_HALL_SYMBOL_DATABASE.iter()
+    }
+
+    #[test]
+    fn test_magnetic_hall_symbol_whole() {
+        for entry in iter_magnetic_hall_symbol_entry() {
+            let mhs = MagneticHallSymbol::new(entry.magnetic_hall_symbol).unwrap();
+            let magnetic_operations = mhs.traverse();
+            assert!(magnetic_operations.len() > 0);
+            assert!(magnetic_operations.len() <= 96);
+            assert_eq!(96 % mhs.traverse().len(), 0);
+        }
+    }
+}
diff --git a/moyo/src/data/magnetic_space_group.rs b/moyo/src/data/magnetic_space_group.rs
index d20d761..1ecb0d9 100644
--- a/moyo/src/data/magnetic_space_group.rs
+++ b/moyo/src/data/magnetic_space_group.rs
@@ -6139,17 +6139,3 @@ const MAGNETIC_SPACE_GROUP_TYPES: [MagneticSpaceGroupType; 1651] = [
         ConstructType::Type3,
     ),
 ];
-
-#[derive(Debug)]
-pub struct MagneticHallSymbolEntry {
-    pub magnetic_hall_symbol: &'static str,
-    pub uni_number: UNINumber,
-}
-
-// const MAGNETIC_HALL_SYMBOL_DATABASE: [MagneticHallSymbolEntry; 1651]
-
-// smallest and largest UNI numbers for each Hall number
-// let hall_number_to_uni_numbers: HashMap<HallNumber, (UNINumber, UNINumber)>;
-
-// smallest and largest Hall numbers for XSG of each UNI number
-// let uni_number_to_xsg_hall_numbers: HashMap<UNINumber, (HallNumber, HallNumber)>;
diff --git a/scripts/magnetic_hall_symbol_database.py b/scripts/magnetic_hall_symbol_database.py
new file mode 100644
index 0000000..8853262
--- /dev/null
+++ b/scripts/magnetic_hall_symbol_database.py
@@ -0,0 +1,31 @@
+from pathlib import Path
+
+import click
+from magnetic_space_group_type import get_msg_numbers, get_msg_table
+
+
+@click.command()
+@click.argument("spglib_dir", type=str)
+def main(spglib_dir: str):
+    msg_dataset_dir = Path(spglib_dir) / "database" / "msg"
+    msg_table = get_msg_table(msg_dataset_dir / "magnetic_hall_symbols.yaml")
+
+    msg_numbers = get_msg_numbers(msg_dataset_dir / "msg_numbers.csv")
+    bns_to_uni = {bns_number: uni_number for _, bns_number, _, uni_number in msg_numbers}
+
+    contents = []
+    for hall_number, dct in msg_table.items():
+        for bns_number, mhall_symbol in dct.items():
+            uni_number = bns_to_uni[bns_number]
+            mhall_symbol = mhall_symbol.replace('"', "=")
+            line = f'MagneticHallSymbolEntry::new("{mhall_symbol}", {uni_number}),'
+            contents.append(line)
+
+    print("const MAGNETIC_HALL_SYMBOL_DATABASE: [MagneticHallSymbolEntry; 1651] = [")
+    for line in contents:
+        print(f"    {line}")
+    print("];")
+
+
+if __name__ == "__main__":
+    main()