biojs-vis-pdbviewer/external/jmol-14.2.4/jsmol/j2s/JS/SpaceGroup.js

A BioJS 2.0 component to view protein structures

Clazz.declarePackage ("JS");
Clazz.load (null, "JS.SpaceGroup", ["java.lang.Character", "$.Float", "java.util.Arrays", "$.Hashtable", "JU.AU", "$.Lst", "$.M4", "$.P3", "$.PT", "$.SB", "JS.HallInfo", "$.HallTranslation", "$.SymmetryOperation", "JU.Logger"], function () {
c$ = Clazz.decorateAsClass (function () {
this.index = 0;
this.isSSG = false;
this.name = "unknown!";
this.hallSymbol = null;
this.hmSymbol = null;
this.hmSymbolFull = null;
this.hmSymbolExt = null;
this.hmSymbolAbbr = null;
this.hmSymbolAlternative = null;
this.hmSymbolAbbrShort = null;
this.ambiguityType = '\0';
this.uniqueAxis = '\0';
this.axisChoice = '\0';
this.intlTableNumber = null;
this.intlTableNumberFull = null;
this.intlTableNumberExt = null;
this.hallInfo = null;
this.latticeParameter = 0;
this.latticeCode = '\0';
this.operations = null;
this.finalOperations = null;
this.operationCount = 0;
this.latticeOp = -1;
this.xyzList = null;
this.modDim = 0;
this.doNormalize = true;
this.isBio = false;
this.isBilbao = false;
this.latticeOps = null;
Clazz.instantialize (this, arguments);
}, JS, "SpaceGroup");
c$.getNull = Clazz.defineMethod (c$, "getNull", 
function (doInit) {
JS.SpaceGroup.getSpaceGroups ();
return  new JS.SpaceGroup (null, doInit);
}, "~B");
Clazz.makeConstructor (c$, 
 function (cifLine, doInit) {
this.index = ++JS.SpaceGroup.sgIndex;
this.init (doInit && cifLine == null);
if (!doInit) return;
if (cifLine != null) this.buildSpaceGroup (cifLine);
}, "~S,~B");
Clazz.defineMethod (c$, "set", 
function (doNormalize) {
this.doNormalize = doNormalize;
return this;
}, "~B");
Clazz.defineMethod (c$, "init", 
 function (addXYZ) {
this.xyzList =  new java.util.Hashtable ();
this.operationCount = 0;
if (addXYZ) this.addSymmetry ("x,y,z", 0, false);
}, "~B");
c$.createSpaceGroup = Clazz.defineMethod (c$, "createSpaceGroup", 
function (desiredSpaceGroupIndex, name, data) {
var sg = null;
if (desiredSpaceGroupIndex >= 0) {
sg = JS.SpaceGroup.getSpaceGroups ()[desiredSpaceGroupIndex];
} else {
if (Clazz.instanceOf (data, JU.Lst)) sg = JS.SpaceGroup.createSGFromList (name, data);
 else sg = JS.SpaceGroup.determineSpaceGroupNA (name, data);
if (sg == null) sg = JS.SpaceGroup.createSpaceGroupN (name);
}if (sg != null) sg.generateAllOperators (null);
return sg;
}, "~N,~S,~O");
c$.createSGFromList = Clazz.defineMethod (c$, "createSGFromList", 
 function (name, data) {
var sg =  new JS.SpaceGroup ("0;--;--;--", true);
sg.doNormalize = false;
sg.name = name;
var n = data.size ();
for (var i = 0; i < n; i++) {
var operation = data.get (i);
if (Clazz.instanceOf (operation, JS.SymmetryOperation)) {
var op = operation;
var iop = sg.addOp (op, op.xyz, false);
sg.operations[iop].timeReversal = op.timeReversal;
} else {
sg.addSymmetrySM ("xyz matrix:" + operation, operation);
}}
var sgn = sg.getDerivedSpaceGroup ();
if (sgn != null) sg = sgn;
return sg;
}, "~S,JU.Lst");
Clazz.defineMethod (c$, "addSymmetry", 
function (xyz, opId, allowScaling) {
xyz = xyz.toLowerCase ();
return (xyz.indexOf ("[[") < 0 && xyz.indexOf ("x4") < 0 && xyz.indexOf (";") < 0 && (xyz.indexOf ("x") < 0 || xyz.indexOf ("y") < 0 || xyz.indexOf ("z") < 0) ? -1 : this.addOperation (xyz, opId, allowScaling));
}, "~S,~N,~B");
Clazz.defineMethod (c$, "setFinalOperations", 
function (atoms, atomIndex, count, doNormalize) {
if (this.hallInfo == null && this.latticeParameter != 0) {
var h =  new JS.HallInfo (JS.HallTranslation.getHallLatticeEquivalent (this.latticeParameter));
this.generateAllOperators (h);
}this.finalOperations = null;
this.isBio = (this.name.indexOf ("bio") >= 0);
if (this.index >= JS.SpaceGroup.getSpaceGroups ().length && !this.isBio && this.name.indexOf ("SSG:") < 0 && this.name.indexOf ("[subsystem") < 0) {
var sg = this.getDerivedSpaceGroup ();
if (sg != null) this.name = sg.getName ();
}this.finalOperations =  new Array (this.operationCount);
if (doNormalize && count > 0 && atoms != null) {
this.finalOperations[0] =  new JS.SymmetryOperation (this.operations[0], atoms, atomIndex, count, true);
var atom = atoms[atomIndex];
var c = JU.P3.newP (atom);
this.finalOperations[0].rotTrans (c);
if (c.distance (atom) > 0.0001) for (var i = 0; i < count; i++) {
atom = atoms[atomIndex + i];
c.setT (atom);
this.finalOperations[0].rotTrans (c);
atom.setT (c);
}
}var centering = null;
for (var i = 0; i < this.operationCount; i++) {
this.finalOperations[i] =  new JS.SymmetryOperation (this.operations[i], atoms, atomIndex, count, doNormalize);
centering = this.finalOperations[i].setCentering (centering, true);
}
}, "~A,~N,~N,~B");
Clazz.defineMethod (c$, "getOperationCount", 
function () {
return this.finalOperations.length;
});
Clazz.defineMethod (c$, "getOperation", 
function (i) {
return this.finalOperations[i];
}, "~N");
Clazz.defineMethod (c$, "getXyz", 
function (i, doNormalize) {
return (this.finalOperations == null ? this.operations[i].getXyz (doNormalize) : this.finalOperations[i].getXyz (doNormalize));
}, "~N,~B");
Clazz.defineMethod (c$, "newPoint", 
function (i, atom1, atom2, transX, transY, transZ) {
this.finalOperations[i].newPoint (atom1, atom2, transX, transY, transZ);
}, "~N,JU.P3,JU.P3,~N,~N,~N");
c$.getInfo = Clazz.defineMethod (c$, "getInfo", 
function (spaceGroup, cellInfo) {
var sg;
if (cellInfo != null) {
if (spaceGroup.indexOf ("[") >= 0) spaceGroup = spaceGroup.substring (0, spaceGroup.indexOf ("[")).trim ();
if (spaceGroup.equals ("unspecified!")) return "no space group identified in file";
sg = JS.SpaceGroup.determineSpaceGroupNA (spaceGroup, cellInfo.getNotionalUnitCell ());
} else if (spaceGroup.equalsIgnoreCase ("ALL")) {
return JS.SpaceGroup.dumpAll ();
} else if (spaceGroup.equalsIgnoreCase ("ALLSEITZ")) {
return JS.SpaceGroup.dumpAllSeitz ();
} else {
sg = JS.SpaceGroup.determineSpaceGroupN (spaceGroup);
if (sg == null) {
sg = JS.SpaceGroup.createSpaceGroupN (spaceGroup);
} else {
var sb =  new JU.SB ();
while (sg != null) {
sb.append (sg.dumpInfo (null));
sg = JS.SpaceGroup.determineSpaceGroupNS (spaceGroup, sg);
}
return sb.toString ();
}}return sg == null ? "?" : sg.dumpInfo (cellInfo);
}, "~S,J.api.SymmetryInterface");
Clazz.defineMethod (c$, "dumpInfo", 
function (cellInfo) {
var info = this.dumpCanonicalSeitzList ();
if (Clazz.instanceOf (info, JS.SpaceGroup)) return (info).dumpInfo (null);
var sb =  new JU.SB ().append ("\nHermann-Mauguin symbol: ");
sb.append (this.hmSymbol).append (this.hmSymbolExt.length > 0 ? ":" + this.hmSymbolExt : "").append ("\ninternational table number: ").append (this.intlTableNumber).append (this.intlTableNumberExt.length > 0 ? ":" + this.intlTableNumberExt : "").append ("\n\n").appendI (this.operationCount).append (" operators").append (!this.hallInfo.hallSymbol.equals ("--") ? " from Hall symbol " + this.hallInfo.hallSymbol : "").append (": ");
for (var i = 0; i < this.operationCount; i++) {
sb.append ("\n").append (this.operations[i].xyz);
}
sb.append ("\n\n").append (this.hallInfo == null ? "invalid Hall symbol" : this.hallInfo.dumpInfo ());
sb.append ("\n\ncanonical Seitz: ").append (info).append ("\n----------------------------------------------------\n");
return sb.toString ();
}, "J.api.SymmetryInterface");
Clazz.defineMethod (c$, "getName", 
function () {
return this.name;
});
Clazz.defineMethod (c$, "getLatticeDesignation", 
function () {
return this.latticeCode + ": " + JS.HallTranslation.getLatticeDesignation (this.latticeParameter);
});
Clazz.defineMethod (c$, "setLatticeParam", 
function (latticeParameter) {
this.latticeParameter = latticeParameter;
this.latticeCode = JS.HallTranslation.getLatticeCode (latticeParameter);
if (latticeParameter > 10) {
this.latticeParameter = -JS.HallTranslation.getLatticeIndex (this.latticeCode);
}}, "~N");
Clazz.defineMethod (c$, "dumpCanonicalSeitzList", 
 function () {
if (this.hallInfo == null) this.hallInfo =  new JS.HallInfo (this.hallSymbol);
this.generateAllOperators (null);
var s = this.getCanonicalSeitzList ();
if (this.index >= JS.SpaceGroup.SG.length) {
var sgDerived = JS.SpaceGroup.findSpaceGroup (s);
if (sgDerived != null) return sgDerived;
}return (this.index >= 0 && this.index < JS.SpaceGroup.SG.length ? this.hallSymbol + " = " : "") + s;
});
Clazz.defineMethod (c$, "getDerivedSpaceGroup", 
function () {
if (this.index >= 0 && this.index < JS.SpaceGroup.SG.length || this.modDim > 0 || this.operations == null || this.operations.length == 0 || this.operations[0].timeReversal != 0) return this;
if (this.finalOperations != null) this.setFinalOperations (null, 0, 0, false);
var s = this.getCanonicalSeitzList ();
return (s == null ? null : JS.SpaceGroup.findSpaceGroup (s));
});
Clazz.defineMethod (c$, "getCanonicalSeitzList", 
 function () {
var list =  new Array (this.operationCount);
for (var i = 0; i < this.operationCount; i++) list[i] = JS.SymmetryOperation.dumpSeitz (this.operations[i], true);

java.util.Arrays.sort (list, 0, this.operationCount);
var sb =  new JU.SB ().append ("\n[");
for (var i = 0; i < this.operationCount; i++) sb.append (list[i].$replace ('\t', ' ').$replace ('\n', ' ')).append ("; ");

sb.append ("]");
return sb.toString ();
});
c$.findSpaceGroup = Clazz.defineMethod (c$, "findSpaceGroup", 
 function (s) {
JS.SpaceGroup.getSpaceGroups ();
if (JS.SpaceGroup.canonicalSeitzList == null) JS.SpaceGroup.canonicalSeitzList =  new Array (JS.SpaceGroup.SG.length);
for (var i = 0; i < JS.SpaceGroup.SG.length; i++) {
if (JS.SpaceGroup.canonicalSeitzList[i] == null) JS.SpaceGroup.canonicalSeitzList[i] = JS.SpaceGroup.SG[i].dumpCanonicalSeitzList ();
if (JS.SpaceGroup.canonicalSeitzList[i].indexOf (s) >= 0) return JS.SpaceGroup.SG[i];
}
return null;
}, "~S");
c$.dumpAll = Clazz.defineMethod (c$, "dumpAll", 
 function () {
var sb =  new JU.SB ();
JS.SpaceGroup.getSpaceGroups ();
for (var i = 0; i < JS.SpaceGroup.SG.length; i++) sb.append ("\n----------------------\n" + JS.SpaceGroup.SG[i].dumpInfo (null));

return sb.toString ();
});
c$.dumpAllSeitz = Clazz.defineMethod (c$, "dumpAllSeitz", 
 function () {
JS.SpaceGroup.getSpaceGroups ();
var sb =  new JU.SB ();
for (var i = 0; i < JS.SpaceGroup.SG.length; i++) sb.append ("\n").appendO (JS.SpaceGroup.SG[i].dumpCanonicalSeitzList ());

return sb.toString ();
});
Clazz.defineMethod (c$, "setLattice", 
 function (latticeCode, isCentrosymmetric) {
this.latticeCode = latticeCode;
this.latticeParameter = JS.HallTranslation.getLatticeIndex (latticeCode);
if (!isCentrosymmetric) this.latticeParameter = -this.latticeParameter;
}, "~S,~B");
c$.createSpaceGroupN = Clazz.defineMethod (c$, "createSpaceGroupN", 
 function (name) {
JS.SpaceGroup.getSpaceGroups ();
name = name.trim ();
var sg = JS.SpaceGroup.determineSpaceGroupN (name);
var hallInfo;
if (sg == null) {
hallInfo =  new JS.HallInfo (name);
if (hallInfo.nRotations > 0) {
sg =  new JS.SpaceGroup ("0;--;--;" + name, true);
sg.hallInfo = hallInfo;
} else if (name.indexOf (",") >= 0) {
sg =  new JS.SpaceGroup ("0;--;--;--", true);
sg.doNormalize = false;
sg.generateOperatorsFromXyzInfo (name);
}}if (sg != null) sg.generateAllOperators (null);
return sg;
}, "~S");
Clazz.defineMethod (c$, "addOperation", 
 function (xyz0, opId, allowScaling) {
if (xyz0 == null || xyz0.length < 3) {
this.init (false);
return -1;
}var isSpecial = (xyz0.charAt (0) == '=');
if (isSpecial) xyz0 = xyz0.substring (1);
if (this.xyzList.containsKey (xyz0)) return this.xyzList.get (xyz0).intValue ();
if (xyz0.startsWith ("x1,x2,x3,x4") && this.modDim == 0) {
this.xyzList.clear ();
this.operationCount = 0;
this.modDim = JU.PT.parseInt (xyz0.substring (xyz0.lastIndexOf ("x") + 1)) - 3;
} else if (xyz0.equals ("x,y,z,m+1")) {
this.xyzList.clear ();
this.operationCount = 0;
}var op =  new JS.SymmetryOperation (null, null, 0, opId, this.doNormalize);
if (!op.setMatrixFromXYZ (xyz0, this.modDim, allowScaling)) {
JU.Logger.error ("couldn't interpret symmetry operation: " + xyz0);
return -1;
}return this.addOp (op, xyz0, isSpecial);
}, "~S,~N,~B");
Clazz.defineMethod (c$, "addOp", 
 function (op, xyz0, isSpecial) {
var ext = "";
var xyz = op.xyz + ext;
var xxx = JU.PT.replaceAllCharacters (xyz, "+123/", "");
if (!isSpecial) {
if (this.xyzList.containsKey (xyz)) return this.xyzList.get (xyz).intValue ();
if (this.latticeOp < 0) {
if (this.xyzList.containsKey (xxx)) this.latticeOp = this.operationCount;
 else this.xyzList.put (xxx, Integer.$valueOf (this.operationCount));
}this.xyzList.put (xyz, Integer.$valueOf (this.operationCount));
}if (!xyz.equals (xyz0 + ext)) this.xyzList.put (xyz0 + ext, Integer.$valueOf (this.operationCount));
if (this.operations == null) this.operations =  new Array (4);
if (this.operationCount == this.operations.length) this.operations = JU.AU.arrayCopyObject (this.operations, this.operationCount * 2);
this.operations[this.operationCount++] = op;
op.index = this.operationCount;
if (JU.Logger.debugging) JU.Logger.debug ("\naddOperation " + this.operationCount + op.dumpInfo ());
return this.operationCount - 1;
}, "JS.SymmetryOperation,~S,~B");
Clazz.defineMethod (c$, "generateOperatorsFromXyzInfo", 
 function (xyzInfo) {
this.init (true);
var terms = JU.PT.split (xyzInfo.toLowerCase (), ";");
for (var i = 0; i < terms.length; i++) this.addSymmetry (terms[i], 0, false);

}, "~S");
Clazz.defineMethod (c$, "generateAllOperators", 
 function (h) {
if (h == null) {
h = this.hallInfo;
if (this.operationCount > 0) return;
this.operations =  new Array (4);
if (this.hallInfo == null || this.hallInfo.nRotations == 0) h = this.hallInfo =  new JS.HallInfo (this.hallSymbol);
this.setLattice (this.hallInfo.latticeCode, this.hallInfo.isCentrosymmetric);
this.init (true);
}var mat1 =  new JU.M4 ();
var operation =  new JU.M4 ();
var newOps =  new Array (7);
for (var i = 0; i < 7; i++) newOps[i] =  new JU.M4 ();

for (var i = 0; i < h.nRotations; i++) {
mat1.setM4 (h.rotationTerms[i].seitzMatrix12ths);
var nRot = h.rotationTerms[i].order;
newOps[0].setIdentity ();
var nOps = this.operationCount;
for (var j = 1; j <= nRot; j++) {
newOps[j].mul2 (mat1, newOps[0]);
newOps[0].setM4 (newOps[j]);
for (var k = 0; k < nOps; k++) {
operation.mul2 (newOps[j], this.operations[k]);
JS.SymmetryOperation.normalizeTranslation (operation);
var xyz = JS.SymmetryOperation.getXYZFromMatrix (operation, true, true, true);
this.addSymmetrySM (xyz, operation);
}
}
}
}, "JS.HallInfo");
Clazz.defineMethod (c$, "addSymmetrySM", 
function (xyz, operation) {
var iop = this.addOperation (xyz, 0, false);
if (iop >= 0) {
var symmetryOperation = this.operations[iop];
symmetryOperation.setM4 (operation);
}return iop;
}, "~S,JU.M4");
c$.determineSpaceGroupN = Clazz.defineMethod (c$, "determineSpaceGroupN", 
 function (name) {
return JS.SpaceGroup.determineSpaceGroup (name, 0, 0, 0, 0, 0, 0, -1);
}, "~S");
c$.determineSpaceGroupNS = Clazz.defineMethod (c$, "determineSpaceGroupNS", 
 function (name, sg) {
return JS.SpaceGroup.determineSpaceGroup (name, 0, 0, 0, 0, 0, 0, sg.index);
}, "~S,JS.SpaceGroup");
c$.determineSpaceGroupNA = Clazz.defineMethod (c$, "determineSpaceGroupNA", 
 function (name, notionalUnitcell) {
return (notionalUnitcell == null ? JS.SpaceGroup.determineSpaceGroup (name, 0, 0, 0, 0, 0, 0, -1) : JS.SpaceGroup.determineSpaceGroup (name, notionalUnitcell[0], notionalUnitcell[1], notionalUnitcell[2], notionalUnitcell[3], notionalUnitcell[4], notionalUnitcell[5], -1));
}, "~S,~A");
c$.determineSpaceGroup = Clazz.defineMethod (c$, "determineSpaceGroup", 
 function (name, a, b, c, alpha, beta, gamma, lastIndex) {
var i = JS.SpaceGroup.determineSpaceGroupIndex (name, a, b, c, alpha, beta, gamma, lastIndex);
return (i >= 0 ? JS.SpaceGroup.SG[i] : null);
}, "~S,~N,~N,~N,~N,~N,~N,~N");
c$.determineSpaceGroupIndex = Clazz.defineMethod (c$, "determineSpaceGroupIndex", 
 function (name, a, b, c, alpha, beta, gamma, lastIndex) {
JS.SpaceGroup.getSpaceGroups ();
if (lastIndex < 0) lastIndex = JS.SpaceGroup.SG.length;
name = name.trim ().toLowerCase ();
var checkBilbao = false;
if (name.startsWith ("bilbao:")) {
checkBilbao = true;
name = name.substring (7);
}var nameType = (name.startsWith ("hall:") ? 5 : name.startsWith ("hm:") ? 3 : 0);
if (nameType > 0) name = name.substring (nameType);
 else if (name.contains ("[")) {
nameType = 5;
name = name.substring (0, name.indexOf ("[")).trim ();
}var nameExt = name;
var i;
var haveExtension = false;
name = name.$replace ('_', ' ');
if (name.length >= 2) {
i = (name.indexOf ("-") == 0 ? 2 : 1);
if (i < name.length && name.charAt (i) != ' ') name = name.substring (0, i) + " " + name.substring (i);
name = name.substring (0, 2).toUpperCase () + name.substring (2);
}var ext = "";
if ((i = name.indexOf (":")) > 0) {
ext = name.substring (i + 1);
name = name.substring (0, i).trim ();
haveExtension = true;
}if (nameType != 5 && !haveExtension && JU.PT.isOneOf (name, JS.SpaceGroup.ambiguousNames)) {
ext = "?";
haveExtension = true;
}var abbr = JU.PT.replaceAllCharacters (name, " ()", "");
var s;
if (nameType != 3 && !haveExtension) for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.hallSymbol.equals (name)) return i;
}
if (nameType != 5) {
if (nameType != 3) for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.intlTableNumberFull.equals (nameExt)) return i;
}
for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.hmSymbolFull.equals (nameExt)) return i;
}
for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.hmSymbolAlternative != null && s.hmSymbolAlternative.equals (nameExt)) return i;
}
if (haveExtension) for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.hmSymbolAbbr.equals (abbr) && s.intlTableNumberExt.equals (ext)) return i;
}
if (haveExtension) for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.hmSymbolAbbrShort.equals (abbr) && s.intlTableNumberExt.equals (ext)) return i;
}
var uniqueAxis = JS.SpaceGroup.determineUniqueAxis (a, b, c, alpha, beta, gamma);
if (!haveExtension || ext.charAt (0) == '?') for (i = lastIndex; --i >= 0; ) {
s = JS.SpaceGroup.SG[i];
if (s.hmSymbolAbbr.equals (abbr) || s.hmSymbolAbbrShort.equals (abbr)) {
switch (s.ambiguityType) {
case '\0':
return i;
case 'a':
if (s.uniqueAxis == uniqueAxis || uniqueAxis == '\0') return i;
break;
case 'o':
if (ext.length == 0) {
if (s.hmSymbolExt.equals ("2")) return i;
} else if (s.hmSymbolExt.equals (ext)) return i;
break;
case 't':
if (ext.length == 0) {
if (s.axisChoice == 'h') return i;
} else if ((s.axisChoice + "").equals (ext)) return i;
break;
}
}}
}if (ext.length == 0) for (i = 0; i < lastIndex; i++) {
s = JS.SpaceGroup.SG[i];
if (s.intlTableNumber.equals (nameExt) && (!checkBilbao || s.isBilbao)) return i;
}
return -1;
}, "~S,~N,~N,~N,~N,~N,~N,~N");
c$.determineUniqueAxis = Clazz.defineMethod (c$, "determineUniqueAxis", 
 function (a, b, c, alpha, beta, gamma) {
if (a == b) return (b == c ? '\0' : 'c');
if (b == c) return 'a';
if (c == a) return 'b';
if (alpha == beta) return (beta == gamma ? '\0' : 'c');
if (beta == gamma) return 'a';
if (gamma == alpha) return 'b';
return '\0';
}, "~N,~N,~N,~N,~N,~N");
Clazz.defineMethod (c$, "buildSpaceGroup", 
 function (cifLine) {
var terms = JU.PT.split (cifLine.toLowerCase (), ";");
this.intlTableNumberFull = terms[0].trim ();
this.isBilbao = (terms.length < 5 && !this.intlTableNumberFull.equals ("0"));
var parts = JU.PT.split (this.intlTableNumberFull, ":");
this.intlTableNumber = parts[0];
this.intlTableNumberExt = (parts.length == 1 ? "" : parts[1]);
this.ambiguityType = '\0';
if (this.intlTableNumberExt.length > 0) {
var term = this.intlTableNumberExt;
if (term.startsWith ("-")) term = term.substring (1);
if (term.equals ("h") || term.equals ("r")) {
this.ambiguityType = 't';
this.axisChoice = this.intlTableNumberExt.charAt (0);
} else if (this.intlTableNumberExt.startsWith ("1") || this.intlTableNumberExt.startsWith ("2")) {
this.ambiguityType = 'o';
} else if (this.intlTableNumberExt.length <= 2) {
this.ambiguityType = 'a';
this.uniqueAxis = this.intlTableNumberExt.charAt (0);
}}this.hmSymbolFull = Character.toUpperCase (terms[2].charAt (0)) + terms[2].substring (1);
parts = JU.PT.split (this.hmSymbolFull, ":");
this.hmSymbol = parts[0];
this.hmSymbolExt = (parts.length == 1 ? "" : parts[1]);
var pt = this.hmSymbol.indexOf (" -3");
if (pt >= 1) if ("admn".indexOf (this.hmSymbol.charAt (pt - 1)) >= 0) {
this.hmSymbolAlternative = (this.hmSymbol.substring (0, pt) + " 3" + this.hmSymbol.substring (pt + 3)).toLowerCase ();
}this.hmSymbolAbbr = JU.PT.rep (this.hmSymbol, " ", "");
this.hmSymbolAbbrShort = JU.PT.rep (this.hmSymbol, " 1", "");
this.hmSymbolAbbrShort = JU.PT.rep (this.hmSymbolAbbrShort, " ", "");
this.hallSymbol = terms[3];
if (this.hallSymbol.length > 1) this.hallSymbol = this.hallSymbol.substring (0, 2).toUpperCase () + this.hallSymbol.substring (2);
var info = this.intlTableNumber + this.hallSymbol;
if (this.intlTableNumber.charAt (0) != '0' && JS.SpaceGroup.lastInfo.equals (info)) JS.SpaceGroup.ambiguousNames += this.hmSymbol + ";";
JS.SpaceGroup.lastInfo = info;
this.name = this.hallSymbol + " [" + this.hmSymbolFull + "] #" + this.intlTableNumber;
}, "~S");
c$.getSpaceGroups = Clazz.defineMethod (c$, "getSpaceGroups", 
 function () {
return (JS.SpaceGroup.SG == null ? (JS.SpaceGroup.SG = JS.SpaceGroup.createSpaceGroups ()) : JS.SpaceGroup.SG);
});
c$.createSpaceGroups = Clazz.defineMethod (c$, "createSpaceGroups", 
 function () {
var n = JS.SpaceGroup.STR_SG.length;
var defs =  new Array (n);
for (var i = 0; i < n; i++) defs[i] =  new JS.SpaceGroup (JS.SpaceGroup.STR_SG[i], true);

JS.SpaceGroup.STR_SG = null;
return defs;
});
Clazz.defineMethod (c$, "addLatticeVectors", 
function (lattvecs) {
if (this.latticeOp >= 0) return false;
var nOps = this.latticeOp = this.operationCount;
for (var j = 0; j < lattvecs.size (); j++) {
var data = lattvecs.get (j);
var magRev = Clazz.floatToInt (data.length == 5 && Float.isNaN (data[4]) ? data[3] : -2);
if (magRev != -2) data = [data[0], data[1], data[2]];
if (data.length > this.modDim + 3) return false;
for (var i = 0; i < nOps; i++) {
var newOp =  new JS.SymmetryOperation (null, null, 0, 0, this.doNormalize);
newOp.modDim = this.modDim;
var op = this.operations[i];
newOp.linearRotTrans = JU.AU.arrayCopyF (op.linearRotTrans, -1);
newOp.setFromMatrix (data, false);
newOp.xyzOriginal = newOp.xyz;
if (magRev != -2) newOp.setTimeReversal (op.timeReversal * magRev);
this.addOp (newOp, newOp.xyz, true);
}
}
return true;
}, "JU.Lst");
Clazz.defineMethod (c$, "getSiteMultiplicity", 
function (pt, unitCell) {
var n = this.finalOperations.length;
var pts =  new JU.Lst ();
for (var i = n; --i >= 0; ) {
var pt1 = JU.P3.newP (pt);
this.finalOperations[i].rotTrans (pt1);
unitCell.unitize (pt1);
for (var j = pts.size (); --j >= 0; ) {
var pt0 = pts.get (j);
if (pt1.distanceSquared (pt0) < 0.000001) {
pt1 = null;
break;
}}
if (pt1 != null) pts.addLast (pt1);
}
return Clazz.doubleToInt (n / pts.size ());
}, "JU.P3,JS.UnitCell");
Clazz.defineMethod (c$, "getAllLatticeOps", 
function () {
if (this.latticeOp < 0 || this.modDim > 0) return null;
if (this.latticeOps == null) {
this.latticeOps =  Clazz.newIntArray (3, 0);
var nOps = 0;
for (var i = this.latticeOp; i < this.operationCount; i++) {
var o = this.finalOperations[i];
if (o.m00 + o.m01 + o.m02 == 3) {
System.out.println ("spacegroup " + o);
this.latticeOps[nOps++] = i;
}}
}return this.latticeOps;
});
Clazz.defineStatics (c$,
"canonicalSeitzList", null,
"NAME_HALL", 5,
"NAME_HM", 3,
"sgIndex", -1,
"ambiguousNames", "",
"lastInfo", "",
"SG", null,
"STR_SG", ["1;c1^1;p 1;p 1", "2;ci^1;p -1;-p 1", "3:b;c2^1;p 1 2 1;p 2y", "3:b;c2^1;p 2;p 2y", "3:c;c2^1;p 1 1 2;p 2", "3:a;c2^1;p 2 1 1;p 2x", "4:b;c2^2;p 1 21 1;p 2yb", "4:b;c2^2;p 21;p 2yb", "4:b*;c2^2;p 1 21 1*;p 2y1", "4:c;c2^2;p 1 1 21;p 2c", "4:c*;c2^2;p 1 1 21*;p 21", "4:a;c2^2;p 21 1 1;p 2xa", "4:a*;c2^2;p 21 1 1*;p 2x1", "5:b1;c2^3;c 1 2 1;c 2y", "5:b1;c2^3;c 2;c 2y", "5:b2;c2^3;a 1 2 1;a 2y", "5:b3;c2^3;i 1 2 1;i 2y", "5:c1;c2^3;a 1 1 2;a 2", "5:c2;c2^3;b 1 1 2;b 2", "5:c3;c2^3;i 1 1 2;i 2", "5:a1;c2^3;b 2 1 1;b 2x", "5:a2;c2^3;c 2 1 1;c 2x", "5:a3;c2^3;i 2 1 1;i 2x", "6:b;cs^1;p 1 m 1;p -2y", "6:b;cs^1;p m;p -2y", "6:c;cs^1;p 1 1 m;p -2", "6:a;cs^1;p m 1 1;p -2x", "7:b1;cs^2;p 1 c 1;p -2yc", "7:b1;cs^2;p c;p -2yc", "7:b2;cs^2;p 1 n 1;p -2yac", "7:b2;cs^2;p n;p -2yac", "7:b3;cs^2;p 1 a 1;p -2ya", "7:b3;cs^2;p a;p -2ya", "7:c1;cs^2;p 1 1 a;p -2a", "7:c2;cs^2;p 1 1 n;p -2ab", "7:c3;cs^2;p 1 1 b;p -2b", "7:a1;cs^2;p b 1 1;p -2xb", "7:a2;cs^2;p n 1 1;p -2xbc", "7:a3;cs^2;p c 1 1;p -2xc", "8:b1;cs^3;c 1 m 1;c -2y", "8:b1;cs^3;c m;c -2y", "8:b2;cs^3;a 1 m 1;a -2y", "8:b3;cs^3;i 1 m 1;i -2y", "8:b3;cs^3;i m;i -2y", "8:c1;cs^3;a 1 1 m;a -2", "8:c2;cs^3;b 1 1 m;b -2", "8:c3;cs^3;i 1 1 m;i -2", "8:a1;cs^3;b m 1 1;b -2x", "8:a2;cs^3;c m 1 1;c -2x", "8:a3;cs^3;i m 1 1;i -2x", "9:b1;cs^4;c 1 c 1;c -2yc", "9:b1;cs^4;c c;c -2yc", "9:b2;cs^4;a 1 n 1;a -2yab", "9:b3;cs^4;i 1 a 1;i -2ya", "9:-b1;cs^4;a 1 a 1;a -2ya", "9:-b2;cs^4;c 1 n 1;c -2yac", "9:-b3;cs^4;i 1 c 1;i -2yc", "9:c1;cs^4;a 1 1 a;a -2a", "9:c2;cs^4;b 1 1 n;b -2ab", "9:c3;cs^4;i 1 1 b;i -2b", "9:-c1;cs^4;b 1 1 b;b -2b", "9:-c2;cs^4;a 1 1 n;a -2ab", "9:-c3;cs^4;i 1 1 a;i -2a", "9:a1;cs^4;b b 1 1;b -2xb", "9:a2;cs^4;c n 1 1;c -2xac", "9:a3;cs^4;i c 1 1;i -2xc", "9:-a1;cs^4;c c 1 1;c -2xc", "9:-a2;cs^4;b n 1 1;b -2xab", "9:-a3;cs^4;i b 1 1;i -2xb", "10:b;c2h^1;p 1 2/m 1;-p 2y", "10:b;c2h^1;p 2/m;-p 2y", "10:c;c2h^1;p 1 1 2/m;-p 2", "10:a;c2h^1;p 2/m 1 1;-p 2x", "11:b;c2h^2;p 1 21/m 1;-p 2yb", "11:b;c2h^2;p 21/m;-p 2yb", "11:b*;c2h^2;p 1 21/m 1*;-p 2y1", "11:c;c2h^2;p 1 1 21/m;-p 2c", "11:c*;c2h^2;p 1 1 21/m*;-p 21", "11:a;c2h^2;p 21/m 1 1;-p 2xa", "11:a*;c2h^2;p 21/m 1 1*;-p 2x1", "12:b1;c2h^3;c 1 2/m 1;-c 2y", "12:b1;c2h^3;c 2/m;-c 2y", "12:b2;c2h^3;a 1 2/m 1;-a 2y", "12:b3;c2h^3;i 1 2/m 1;-i 2y", "12:b3;c2h^3;i 2/m;-i 2y", "12:c1;c2h^3;a 1 1 2/m;-a 2", "12:c2;c2h^3;b 1 1 2/m;-b 2", "12:c3;c2h^3;i 1 1 2/m;-i 2", "12:a1;c2h^3;b 2/m 1 1;-b 2x", "12:a2;c2h^3;c 2/m 1 1;-c 2x", "12:a3;c2h^3;i 2/m 1 1;-i 2x", "13:b1;c2h^4;p 1 2/c 1;-p 2yc", "13:b1;c2h^4;p 2/c;-p 2yc", "13:b2;c2h^4;p 1 2/n 1;-p 2yac", "13:b2;c2h^4;p 2/n;-p 2yac", "13:b3;c2h^4;p 1 2/a 1;-p 2ya", "13:b3;c2h^4;p 2/a;-p 2ya", "13:c1;c2h^4;p 1 1 2/a;-p 2a", "13:c2;c2h^4;p 1 1 2/n;-p 2ab", "13:c3;c2h^4;p 1 1 2/b;-p 2b", "13:a1;c2h^4;p 2/b 1 1;-p 2xb", "13:a2;c2h^4;p 2/n 1 1;-p 2xbc", "13:a3;c2h^4;p 2/c 1 1;-p 2xc", "14:b1;c2h^5;p 1 21/c 1;-p 2ybc", "14:b1;c2h^5;p 21/c;-p 2ybc", "14:b2;c2h^5;p 1 21/n 1;-p 2yn", "14:b2;c2h^5;p 21/n;-p 2yn", "14:b3;c2h^5;p 1 21/a 1;-p 2yab", "14:b3;c2h^5;p 21/a;-p 2yab", "14:c1;c2h^5;p 1 1 21/a;-p 2ac", "14:c2;c2h^5;p 1 1 21/n;-p 2n", "14:c3;c2h^5;p 1 1 21/b;-p 2bc", "14:a1;c2h^5;p 21/b 1 1;-p 2xab", "14:a2;c2h^5;p 21/n 1 1;-p 2xn", "14:a3;c2h^5;p 21/c 1 1;-p 2xac", "15:b1;c2h^6;c 1 2/c 1;-c 2yc", "15:b1;c2h^6;c 2/c;-c 2yc", "15:b2;c2h^6;a 1 2/n 1;-a 2yab", "15:b3;c2h^6;i 1 2/a 1;-i 2ya", "15:b3;c2h^6;i 2/a;-i 2ya", "15:-b1;c2h^6;a 1 2/a 1;-a 2ya", "15:-b2;c2h^6;c 1 2/n 1;-c 2yac", "15:-b2;c2h^6;c 2/n;-c 2yac", "15:-b3;c2h^6;i 1 2/c 1;-i 2yc", "15:-b3;c2h^6;i 2/c;-i 2yc", "15:c1;c2h^6;a 1 1 2/a;-a 2a", "15:c2;c2h^6;b 1 1 2/n;-b 2ab", "15:c3;c2h^6;i 1 1 2/b;-i 2b", "15:-c1;c2h^6;b 1 1 2/b;-b 2b", "15:-c2;c2h^6;a 1 1 2/n;-a 2ab", "15:-c3;c2h^6;i 1 1 2/a;-i 2a", "15:a1;c2h^6;b 2/b 1 1;-b 2xb", "15:a2;c2h^6;c 2/n 1 1;-c 2xac", "15:a3;c2h^6;i 2/c 1 1;-i 2xc", "15:-a1;c2h^6;c 2/c 1 1;-c 2xc", "15:-a2;c2h^6;b 2/n 1 1;-b 2xab", "15:-a3;c2h^6;i 2/b 1 1;-i 2xb", "16;d2^1;p 2 2 2;p 2 2", "17;d2^2;p 2 2 21;p 2c 2", "17*;d2^2;p 2 2 21*;p 21 2", "17:cab;d2^2;p 21 2 2;p 2a 2a", "17:bca;d2^2;p 2 21 2;p 2 2b", "18;d2^3;p 21 21 2;p 2 2ab", "18:cab;d2^3;p 2 21 21;p 2bc 2", "18:bca;d2^3;p 21 2 21;p 2ac 2ac", "19;d2^4;p 21 21 21;p 2ac 2ab", "20;d2^5;c 2 2 21;c 2c 2", "20*;d2^5;c 2 2 21*;c 21 2", "20:cab;d2^5;a 21 2 2;a 2a 2a", "20:cab*;d2^5;a 21 2 2*;a 2a 21", "20:bca;d2^5;b 2 21 2;b 2 2b", "21;d2^6;c 2 2 2;c 2 2", "21:cab;d2^6;a 2 2 2;a 2 2", "21:bca;d2^6;b 2 2 2;b 2 2", "22;d2^7;f 2 2 2;f 2 2", "23;d2^8;i 2 2 2;i 2 2", "24;d2^9;i 21 21 21;i 2b 2c", "25;c2v^1;p m m 2;p 2 -2", "25:cab;c2v^1;p 2 m m;p -2 2", "25:bca;c2v^1;p m 2 m;p -2 -2", "26;c2v^2;p m c 21;p 2c -2", "26*;c2v^2;p m c 21*;p 21 -2", "26:ba-c;c2v^2;p c m 21;p 2c -2c", "26:ba-c*;c2v^2;p c m 21*;p 21 -2c", "26:cab;c2v^2;p 21 m a;p -2a 2a", "26:-cba;c2v^2;p 21 a m;p -2 2a", "26:bca;c2v^2;p b 21 m;p -2 -2b", "26:a-cb;c2v^2;p m 21 b;p -2b -2", "27;c2v^3;p c c 2;p 2 -2c", "27:cab;c2v^3;p 2 a a;p -2a 2", "27:bca;c2v^3;p b 2 b;p -2b -2b", "28;c2v^4;p m a 2;p 2 -2a", "28*;c2v^4;p m a 2*;p 2 -21", "28:ba-c;c2v^4;p b m 2;p 2 -2b", "28:cab;c2v^4;p 2 m b;p -2b 2", "28:-cba;c2v^4;p 2 c m;p -2c 2", "28:-cba*;c2v^4;p 2 c m*;p -21 2", "28:bca;c2v^4;p c 2 m;p -2c -2c", "28:a-cb;c2v^4;p m 2 a;p -2a -2a", "29;c2v^5;p c a 21;p 2c -2ac", "29:ba-c;c2v^5;p b c 21;p 2c -2b", "29:cab;c2v^5;p 21 a b;p -2b 2a", "29:-cba;c2v^5;p 21 c a;p -2ac 2a", "29:bca;c2v^5;p c 21 b;p -2bc -2c", "29:a-cb;c2v^5;p b 21 a;p -2a -2ab", "30;c2v^6;p n c 2;p 2 -2bc", "30:ba-c;c2v^6;p c n 2;p 2 -2ac", "30:cab;c2v^6;p 2 n a;p -2ac 2", "30:-cba;c2v^6;p 2 a n;p -2ab 2", "30:bca;c2v^6;p b 2 n;p -2ab -2ab", "30:a-cb;c2v^6;p n 2 b;p -2bc -2bc", "31;c2v^7;p m n 21;p 2ac -2", "31:ba-c;c2v^7;p n m 21;p 2bc -2bc", "31:cab;c2v^7;p 21 m n;p -2ab 2ab", "31:-cba;c2v^7;p 21 n m;p -2 2ac", "31:bca;c2v^7;p n 21 m;p -2 -2bc", "31:a-cb;c2v^7;p m 21 n;p -2ab -2", "32;c2v^8;p b a 2;p 2 -2ab", "32:cab;c2v^8;p 2 c b;p -2bc 2", "32:bca;c2v^8;p c 2 a;p -2ac -2ac", "33;c2v^9;p n a 21;p 2c -2n", "33*;c2v^9;p n a 21*;p 21 -2n", "33:ba-c;c2v^9;p b n 21;p 2c -2ab", "33:ba-c*;c2v^9;p b n 21*;p 21 -2ab", "33:cab;c2v^9;p 21 n b;p -2bc 2a", "33:cab*;c2v^9;p 21 n b*;p -2bc 21", "33:-cba;c2v^9;p 21 c n;p -2n 2a", "33:-cba*;c2v^9;p 21 c n*;p -2n 21", "33:bca;c2v^9;p c 21 n;p -2n -2ac", "33:a-cb;c2v^9;p n 21 a;p -2ac -2n", "34;c2v^10;p n n 2;p 2 -2n", "34:cab;c2v^10;p 2 n n;p -2n 2", "34:bca;c2v^10;p n 2 n;p -2n -2n", "35;c2v^11;c m m 2;c 2 -2", "35:cab;c2v^11;a 2 m m;a -2 2", "35:bca;c2v^11;b m 2 m;b -2 -2", "36;c2v^12;c m c 21;c 2c -2", "36*;c2v^12;c m c 21*;c 21 -2", "36:ba-c;c2v^12;c c m 21;c 2c -2c", "36:ba-c*;c2v^12;c c m 21*;c 21 -2c", "36:cab;c2v^12;a 21 m a;a -2a 2a", "36:cab*;c2v^12;a 21 m a*;a -2a 21", "36:-cba;c2v^12;a 21 a m;a -2 2a", "36:-cba*;c2v^12;a 21 a m*;a -2 21", "36:bca;c2v^12;b b 21 m;b -2 -2b", "36:a-cb;c2v^12;b m 21 b;b -2b -2", "37;c2v^13;c c c 2;c 2 -2c", "37:cab;c2v^13;a 2 a a;a -2a 2", "37:bca;c2v^13;b b 2 b;b -2b -2b", "38;c2v^14;a m m 2;a 2 -2", "38:ba-c;c2v^14;b m m 2;b 2 -2", "38:cab;c2v^14;b 2 m m;b -2 2", "38:-cba;c2v^14;c 2 m m;c -2 2", "38:bca;c2v^14;c m 2 m;c -2 -2", "38:a-cb;c2v^14;a m 2 m;a -2 -2", "39;c2v^15;a e m 2;a 2 -2b", "39;c2v^15;a b m 2;a 2 -2b", "39:ba-c;c2v^15;b m a 2;b 2 -2a", "39:cab;c2v^15;b 2 c m;b -2a 2", "39:-cba;c2v^15;c 2 m b;c -2a 2", "39:bca;c2v^15;c m 2 a;c -2a -2a", "39:a-cb;c2v^15;a c 2 m;a -2b -2b", "40;c2v^16;a m a 2;a 2 -2a", "40:ba-c;c2v^16;b b m 2;b 2 -2b", "40:cab;c2v^16;b 2 m b;b -2b 2", "40:-cba;c2v^16;c 2 c m;c -2c 2", "40:bca;c2v^16;c c 2 m;c -2c -2c", "40:a-cb;c2v^16;a m 2 a;a -2a -2a", "41;c2v^17;a e a 2;a 2 -2ab", "41;c2v^17;a b a 2;a 2 -2ab;-b", "41:ba-c;c2v^17;b b a 2;b 2 -2ab", "41:cab;c2v^17;b 2 c b;b -2ab 2", "41:-cba;c2v^17;c 2 c b;c -2ac 2", "41:bca;c2v^17;c c 2 a;c -2ac -2ac", "41:a-cb;c2v^17;a c 2 a;a -2ab -2ab", "42;c2v^18;f m m 2;f 2 -2", "42:cab;c2v^18;f 2 m m;f -2 2", "42:bca;c2v^18;f m 2 m;f -2 -2", "43;c2v^19;f d d 2;f 2 -2d", "43:cab;c2v^19;f 2 d d;f -2d 2", "43:bca;c2v^19;f d 2 d;f -2d -2d", "44;c2v^20;i m m 2;i 2 -2", "44:cab;c2v^20;i 2 m m;i -2 2", "44:bca;c2v^20;i m 2 m;i -2 -2", "45;c2v^21;i b a 2;i 2 -2c", "45:cab;c2v^21;i 2 c b;i -2a 2", "45:bca;c2v^21;i c 2 a;i -2b -2b", "46;c2v^22;i m a 2;i 2 -2a", "46:ba-c;c2v^22;i b m 2;i 2 -2b", "46:cab;c2v^22;i 2 m b;i -2b 2", "46:-cba;c2v^22;i 2 c m;i -2c 2", "46:bca;c2v^22;i c 2 m;i -2c -2c", "46:a-cb;c2v^22;i m 2 a;i -2a -2a", "47;d2h^1;p m m m;-p 2 2", "48:1;d2h^2;p n n n:1;p 2 2 -1n;-b", "48:2;d2h^2;p n n n:2;-p 2ab 2bc", "49;d2h^3;p c c m;-p 2 2c", "49:cab;d2h^3;p m a a;-p 2a 2", "49:bca;d2h^3;p b m b;-p 2b 2b", "50:1;d2h^4;p b a n:1;p 2 2 -1ab;-b", "50:2;d2h^4;p b a n:2;-p 2ab 2b", "50:1cab;d2h^4;p n c b:1;p 2 2 -1bc", "50:2cab;d2h^4;p n c b:2;-p 2b 2bc", "50:1bca;d2h^4;p c n a:1;p 2 2 -1ac", "50:2bca;d2h^4;p c n a:2;-p 2a 2c", "51;d2h^5;p m m a;-p 2a 2a", "51:ba-c;d2h^5;p m m b;-p 2b 2", "51:cab;d2h^5;p b m m;-p 2 2b", "51:-cba;d2h^5;p c m m;-p 2c 2c", "51:bca;d2h^5;p m c m;-p 2c 2", "51:a-cb;d2h^5;p m a m;-p 2 2a", "52;d2h^6;p n n a;-p 2a 2bc", "52:ba-c;d2h^6;p n n b;-p 2b 2n", "52:cab;d2h^6;p b n n;-p 2n 2b", "52:-cba;d2h^6;p c n n;-p 2ab 2c", "52:bca;d2h^6;p n c n;-p 2ab 2n", "52:a-cb;d2h^6;p n a n;-p 2n 2bc", "53;d2h^7;p m n a;-p 2ac 2", "53:ba-c;d2h^7;p n m b;-p 2bc 2bc", "53:cab;d2h^7;p b m n;-p 2ab 2ab", "53:-cba;d2h^7;p c n m;-p 2 2ac", "53:bca;d2h^7;p n c m;-p 2 2bc", "53:a-cb;d2h^7;p m a n;-p 2ab 2", "54;d2h^8;p c c a;-p 2a 2ac", "54:ba-c;d2h^8;p c c b;-p 2b 2c", "54:cab;d2h^8;p b a a;-p 2a 2b", "54:-cba;d2h^8;p c a a;-p 2ac 2c", "54:bca;d2h^8;p b c b;-p 2bc 2b", "54:a-cb;d2h^8;p b a b;-p 2b 2ab", "55;d2h^9;p b a m;-p 2 2ab", "55:cab;d2h^9;p m c b;-p 2bc 2", "55:bca;d2h^9;p c m a;-p 2ac 2ac", "56;d2h^10;p c c n;-p 2ab 2ac", "56:cab;d2h^10;p n a a;-p 2ac 2bc", "56:bca;d2h^10;p b n b;-p 2bc 2ab", "57;d2h^11;p b c m;-p 2c 2b", "57:ba-c;d2h^11;p c a m;-p 2c 2ac", "57:cab;d2h^11;p m c a;-p 2ac 2a", "57:-cba;d2h^11;p m a b;-p 2b 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});