diff --git a/devmods/honeycomb-generator.cpp b/devmods/honeycomb-rule-generator.cpp
similarity index 87%
rename from devmods/honeycomb-generator.cpp
rename to devmods/honeycomb-rule-generator.cpp
index 2666e390..e95da3ed 100644
--- a/devmods/honeycomb-generator.cpp
+++ b/devmods/honeycomb-rule-generator.cpp
@@ -4,12 +4,14 @@ Honeycomb data generator.
 
 Usage: 
 
-./hyper -geo 534h -tcano honeycomb-534.dat -quit
-./hyper -geo 535h -tcano honeycomb-535.dat -quit
-./hyper -geo 435h -tcano honeycomb-435.dat -quit
+./hyper -geo 534h -gen-rule honeycomb-rules-534.dat -quit
+./hyper -geo 535h -gen-rule honeycomb-rules-535.dat -quit
+./hyper -geo 435h -gen-rule honeycomb-rules-435.dat -quit
 
 You need to change the value of XS7 to 6 (for 435) or 12 (for others)
 
+You also need to select 'fp used for rules' 
+
 */
 
 #include "zlib.h"
@@ -145,9 +147,27 @@ void add_candidate(cell *c) {
 
 void test_canonical(string fname) {
   if(S7 != XS7) { println(hlog, "fix XS7=", S7); exit(4); }
+  stop_game();
+  reg3::reg3_rule_available = false;
   start_game();
-  cell *c0 = cwt.at;
-  add_candidate(c0);
+
+  int qc = reg3::quotient_count();
+  
+  vector<cell*> c0;
+  
+  if(geometry == gSpace535) {
+    c0.resize(qc, cwt.at);
+    }
+  else {
+    for(int fv=0; fv<qc; fv++) {
+      cell *c = cwt.at;
+      for(int i=0; i<100 || c->master->fieldval != fv; i++) c = c->cmove(hrand(S7));
+      c->FV = 0;
+      c0.push_back(c);
+      }
+    }
+
+  for(cell* c: c0) add_candidate(c);
   
   array<int, XS7> empty;
   for(auto& e: empty) e = -1;
@@ -186,8 +206,6 @@ void test_canonical(string fname) {
       }
     }
   
-  int root = 0;
-    
   if(true) {
 
     println(hlog, "original rules: ", child_rules);
@@ -230,8 +248,6 @@ void test_canonical(string fname) {
     number_states = lqids;
     for(auto& p: id_of) p.second = ih[p.second];
     println(hlog, "rehashed");
-    println(hlog, "origin = ", ih[0]);
-    root = ih[0];
     fflush(stdout);
     }
 
@@ -334,6 +350,10 @@ void test_canonical(string fname) {
   auto& fp = currfp;
   hwrite_fpattern(ss, fp);
 
+  vector<int> root(qc, 0);
+  for(int i=0; i<qc; i++) root[i] = id_of[generate_ext_nei(c0[i])];
+  println(hlog, "root = ", root);
+
   hwrite(ss, root);
   
   println(hlog, "copy data");
@@ -353,7 +373,7 @@ auto fqhook =
   using namespace arg;
            
   if(0) ;
-  else if(argis("-tcano")) {
+  else if(argis("-gen-rule")) {
     shift(); test_canonical(args());
     }
   else return 1;
diff --git a/fieldpattern.cpp b/fieldpattern.cpp
index 04788123..32715cfe 100644
--- a/fieldpattern.cpp
+++ b/fieldpattern.cpp
@@ -1089,9 +1089,12 @@ EX struct fpattern& getcurrfp() {
     static fpattern fp(0);
     if(fp.Prime) return fp;
     // fp.Prime = 5; fp.force_hash = 0x72414D0C; fp.solve();
-    // fp.Prime = 11; fp.force_hash = 0x5FC4CFF0; fp.solve();    
+    #ifdef FP_RULES
+    fp.Prime = 11; fp.force_hash = 0x5FC4CFF0; fp.solve();
+    #else
     shstream ins(STR("\x05\x00\x00\x00\x02\x00\x00\x00\x03\x00\x00\x00\xfc\xff\xff\xff\x01\x00\x00\x00\x04\x00\x00\x00\xfc\xff\xff\xff\x04\x00\x00\x00\xfe\xff\xff\xff\x00\x00\x00\x00\x01\x00\x00\x00\xfe\xff\xff\xff\x04\x00\x00\x00\x02\x00\x00\x00\x01\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x04\x00\x00\x00\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\xff\xff\xff\xff\x00\x00\x00\x00\x00\x00\x00\x00\xfc\xff\xff\xff\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01\x00\x00\x00\x00\x00\x00\x00\xfc\xff\xff\xff\x02\x00\x00\x00\x00\x00\x00\x00\xfc\xff\xff\xff\x01\x00\x00\x00\xfd\xff\xff\xff\x00\x00\x00\x00\x02\x00\x00\x00\xfd\xff\xff\xff\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01\x00\x00\x00"));
     hread_fpattern(ins, fp);
+    #endif
     return fp;
     }
   if(geometry == gSpace435) {
@@ -1100,9 +1103,12 @@ EX struct fpattern& getcurrfp() {
     if(fp.Prime) return fp;
     // fp.Prime = 5; fp.force_hash = 0xEB201050; fp.solve();
     // what is 0x72414D0C??
-    // fp.Prime = 11; fp.force_hash = 0x65CE0C00; fp.solve();
+    #ifdef FP_RULES
+    fp.Prime = 11; fp.force_hash = 0x65CE0C00; fp.solve();
+    #else
     shstream ins(STR("\x05\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\xfc\xff\xff\xff\xff\xff\xff\xff\xfe\xff\xff\xff\xfc\xff\xff\xff\x04\x00\x00\x00\x02\x00\x00\x00\x04\x00\x00\x00\xff\xff\xff\xff\x02\x00\x00\x00\x03\x00\x00\x00\x03\x00\x00\x00\xfd\xff\xff\xff\x01\x00\x00\x00\x02\x00\x00\x00\x03\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\xfc\xff\xff\xff\x00\x00\x00\x00\x00\x00\x00\x00\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xff\xff\xff\xff\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01\x00\x00\x00\x00\x00\x00\x00\xfd\xff\xff\xff\xfd\xff\xff\xff\x00\x00\x00\x00\xfd\xff\xff\xff\x02\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\xfd\xff\xff\xff\x03\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01\x00\x00\x00"));
     hread_fpattern(ins, fp);
+    #endif
     return fp;
     }
   if(geometry == gSpace336) {
diff --git a/honeycomb-435.dat b/honeycomb-435.dat
deleted file mode 100644
index 77e59b97..00000000
Binary files a/honeycomb-435.dat and /dev/null differ
diff --git a/honeycomb-534.dat b/honeycomb-534.dat
deleted file mode 100644
index 644c2c00..00000000
Binary files a/honeycomb-534.dat and /dev/null differ
diff --git a/honeycomb-535.dat b/honeycomb-535.dat
deleted file mode 100644
index 8f187c48..00000000
Binary files a/honeycomb-535.dat and /dev/null differ
diff --git a/honeycomb-rules-435.dat b/honeycomb-rules-435.dat
new file mode 100644
index 00000000..33dbe4bd
Binary files /dev/null and b/honeycomb-rules-435.dat differ
diff --git a/honeycomb-rules-534.dat b/honeycomb-rules-534.dat
new file mode 100644
index 00000000..f71f73ea
Binary files /dev/null and b/honeycomb-rules-534.dat differ
diff --git a/honeycomb-rules-535.dat b/honeycomb-rules-535.dat
new file mode 100644
index 00000000..0a5668d4
Binary files /dev/null and b/honeycomb-rules-535.dat differ
diff --git a/reg3.cpp b/reg3.cpp
index 58f07afd..2feed8a2 100644
--- a/reg3.cpp
+++ b/reg3.cpp
@@ -883,7 +883,7 @@ EX namespace reg3 {
 
     fieldpattern::fpattern fp;
 
-    int root;
+    vector<int> root;
     string other;
     vector<short> children;
     
@@ -916,8 +916,9 @@ EX namespace reg3 {
     void find_mappings() {
       auto &nles = nonlooping_earlier_states;
       nles.clear();
-      address init = {0, root};
-      vector<address> bfs = {init};
+      vector<address> bfs;
+      for(int i=0; i<isize(quotient_map->allh); i++) 
+        bfs.emplace_back(i, root[i]);
       auto mov = [&] (int fv, int d) {
         return quotient_map->allh[fv]->move(d)->fieldval;
         };
@@ -943,7 +944,9 @@ EX namespace reg3 {
       for(auto p: q) q2[p]++;
       DEBB(DF_GEOM, ("q2 = ", q2));
       
-      bfs = {init};
+      bfs = {};
+      for(int i=0; i<isize(quotient_map->allh); i++) 
+        bfs.emplace_back(i, root[i]);
       for(int i=0; i<isize(bfs); i++) {
         address last = bfs[i];
         int state = last.second;
@@ -968,9 +971,9 @@ EX namespace reg3 {
 
     hrmap_reg3_rule() : fp(0) {
 
-      if(S7 == 6) load_ruleset("honeycomb-435.dat");
-      else if(ginf[geometry].vertex == 5) load_ruleset("honeycomb-535.dat");
-      else load_ruleset("honeycomb-534.dat");
+      if(S7 == 6) load_ruleset("honeycomb-rules-435.dat");
+      else if(ginf[geometry].vertex == 5) load_ruleset("honeycomb-rules-535.dat");
+      else load_ruleset("honeycomb-rules-534.dat");
       
       reg3::generate();
       origin = tailored_alloc<heptagon> (S7);
@@ -981,7 +984,7 @@ EX namespace reg3 {
       h.distance = 0;
       h.zebraval = 0;
       h.fieldval = 0;
-      h.fiftyval = root;
+      h.fiftyval = root[0];
       h.c7 = NULL;
       h.c7 = newCell(S7, origin);
       
@@ -1168,7 +1171,7 @@ EX hrmap* new_map() {
   if(geometry == gSeifertWeber) return new seifert_weber::hrmap_singlecell(108*degree);
   if(geometry == gHomologySphere) return new seifert_weber::hrmap_singlecell(36*degree);
   if(quotient && !sphere) return new hrmap_field3(&currfp);
-  if(among(geometry, gSpace534, gSpace435, gSpace535)) return new hrmap_reg3_rule;
+  if(in_rule()) return new hrmap_reg3_rule;
   return new hrmap_reg3;
   }
 
@@ -1176,6 +1179,10 @@ hrmap_reg3* regmap() {
   return ((hrmap_reg3*) currentmap);
   }
 
+EX int quotient_count() {
+  return isize(regmap()->quotient_map->allh);
+  }
+
 EX int celldistance(cell *c1, cell *c2) {
   if(c1 == c2) return 0;
   if(c1 == currentmap->gamestart()) return c2->master->distance;