Levels of Classes

 Level 0 

         L =  0
        ---------------------------
        |  S|  Bin.schema|   G| R |
        |---|------------|----|---|
        |  1|000000000000|   0| 1 |
        ---------------------------

 Level 1 

        ---------------------------
        |  S|  Bin.schema|   G| R |
        |---|------------|----|---|
        |  2|100000000000|   1|12 |
        ---------------------------
 

 Level 2 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        |  3|110000000000|   3|12 | |  3|101000000000|   5|12 |
        |  3|100100000000|   9|12 | |  3|100010000000|  17|12 |
        |  3|100001000000|  33|12 | |  3|100000100000|  65| 6 |
        --------------------------- ---------------------------
 

 Level 3 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        |  4|100010001000| 273| 4 | |  5|111000000000|   7|12 |
        |  5|101010000000|  21|12 | |  5|100100100000|  73|12 |
        |  5|101000010000| 133|12 | |  6|110100000000|  11|12 |
        |  6|101100000000|  13|12 | |  6|110010000000|  19|12 |
        |  6|100110000000|  25|12 | |  6|110001000000|  35|12 |
        |  6|101001000000|  37|12 | |  6|100101000000|  41|12 |
        |  6|100011000000|  49|12 | |  6|110000100000|  67|12 |
        |  6|101000100000|  69|12 | |  6|100010100000|  81|12 |
        |  6|100001100000|  97|12 | |  6|100100010000| 137|12 |
        |  6|100010010000| 145|12 | |   |            |    |   |
        --------------------------- ---------------------------
 

 Level 4 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        |  6|100100100100| 585| 3 | |  8|110000110000| 195| 6 |
        |  8|101000101000| 325| 6 | |  9|111100000000|  15|12 |
        |  9|101010100000|  85|12 | |  9|101001010000| 165|12 |
        | 10|101010001000| 277|12 | | 11|111010000000|  23|12 |
        | 11|110110000000|  27|12 | | 11|101110000000|  29|12 |
        | 11|101101000000|  45|12 | | 11|110011000000|  51|12 |
        | 11|110001100000|  99|12 | | 11|111000010000| 135|12 |
        | 11|101010010000| 149|12 | | 11|100110010000| 153|12 |
        | 11|100101010000| 169|12 | | 11|110010001000| 275|12 |
        | 11|100110001000| 281|12 | | 11|110001001000| 291|12 |
        | 11|100101001000| 297|12 | | 12|111001000000|  39|12 |
        | 12|110101000000|  43|12 | | 12|101011000000|  53|12 |
        | 12|100111000000|  57|12 | | 12|111000100000|  71|12 |
        | 12|110100100000|  75|12 | | 12|101100100000|  77|12 |
        | 12|100110100000|  89|12 | | 12|100101100000| 105|12 |
        | 12|100011100000| 113|12 | | 12|101100010000| 141|12 |
        | 12|110010010000| 147|12 | | 12|110001010000| 163|12 |
        | 12|100011010000| 177|12 | | 12|101000110000| 197|12 |
        | 12|100100110000| 201|12 | | 12|101001001000| 293|12 |
        | 12|100100101000| 329|12 | | 13|110010100000|  83|12 |
        | 13|101001100000| 101|12 | | 13|110100010000| 139|12 |
        | 13|100010110000| 209|12 | |   |            |    |   |
        --------------------------- ---------------------------
 

 Level 5 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        | 13|101010101000| 341|12 | | 17|111110000000|  31|12 |
        | 17|101010010100| 661|12 | | 18|110011001000| 307|12 |
        | 18|100110011000| 409|12 | | 20|111000110000| 199|12 |
        | 20|110001110000| 227|12 | | 21|111101000000|  47|12 |
        | 21|101111000000|  61|12 | | 21|101101010000| 173|12 |
        | 21|101011010000| 181|12 | | 21|111000101000| 327|12 |
        | 21|110100100100| 587|12 | | 21|101100100100| 589|12 |
        | 22|111011000000|  55|12 | | 22|110111000000|  59|12 |
        | 22|101110100000|  93|12 | | 22|110100110000| 203|12 |
        | 22|110010110000| 211|12 | | 22|110101001000| 299|12 |
        | 22|101100101000| 333|12 | | 22|101001101000| 357|12 |
        | 22|100101011000| 425|12 | | 22|101010100100| 597|12 |
        | 23|111100100000|  79|12 | | 23|111010100000|  87|12 |
        | 23|110110100000|  91|12 | | 23|111001100000| 103|12 |
        | 23|101101100000| 109|12 | | 23|110011100000| 115|12 |
        | 23|101011100000| 117|12 | | 23|100111100000| 121|12 |
        | 23|111100010000| 143|12 | | 23|110110010000| 155|12 |
        | 23|101110010000| 157|12 | | 23|111001010000| 167|12 |
        | 23|110101010000| 171|12 | | 23|100111010000| 185|12 |
        | 23|101010110000| 213|12 | | 23|100110110000| 217|12 |
        | 23|101001110000| 229|12 | | 23|100011110000| 241|12 |
        | 23|110110001000| 283|12 | | 23|101101001000| 301|12 |
        | 23|100111001000| 313|12 | | 23|110100101000| 331|12 |
        | 23|110001101000| 355|12 | | 23|100101101000| 361|12 |
        | 23|101100011000| 397|12 | | 23|110010011000| 403|12 |
        | 23|101001011000| 421|12 | | 23|110010100100| 595|12 |
        | 23|101001100100| 613|12 | | 24|110101100000| 107|12 |
        | 24|111010010000| 151|12 | | 24|110011010000| 179|12 |
        | 24|101100110000| 205|12 | | 24|100101110000| 233|12 |
        | 24|111010001000| 279|12 | | 24|101110001000| 285|12 |
        | 24|111001001000| 295|12 | | 24|101011001000| 309|12 |
        | 24|110010101000| 339|12 | | 24|100110101000| 345|12 |
        | 24|101010011000| 405|12 | | 24|100100111000| 457|12 |
        --------------------------- ---------------------------
 

 Level 6 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        | 14|101010101010|1365| 2 | | 21|110011001100| 819| 4 |
        | 27|111000111000| 455| 6 | | 30|110100110100| 715| 6 |
        | 30|101100101100| 845| 6 | | 33|111111000000|  63|12 |
        | 33|101011010100| 693|12 | | 36|110110100100| 603|12 |
        | 36|101101100100| 621|12 | | 40|111001110000| 231|12 |
        | 40|111100011000| 399|12 | | 41|111110100000|  95|12 |
        | 41|101111100000| 125|12 | | 41|101111010000| 189|12 |
        | 41|101101010100| 685|12 | | 41|101010110100| 725|12 |
        | 42|110110110000| 219|12 | | 42|110111001000| 315|12 |
        | 42|111010101000| 343|12 | | 42|101110101000| 349|12 |
        | 42|101101101000| 365|12 | | 42|101011101000| 373|12 |
        | 42|100111011000| 441|12 | | 42|101010111000| 469|12 |
        | 42|110110010100| 667|12 | | 42|110101010100| 683|12 |
        | 42|110010110100| 723|12 | | 42|101010101100| 853|12 |
        | 43|111101100000| 111|12 | | 43|111011100000| 119|12 |
        | 43|110111100000| 123|12 | | 43|111101010000| 175|12 |
        | 43|111100110000| 207|12 | | 43|110011110000| 243|12 |
        | 43|101011110000| 245|12 | | 43|110101101000| 363|12 |
        | 43|110110011000| 411|12 | | 43|111001011000| 423|12 |
        | 43|110101011000| 427|12 | | 43|101101011000| 429|12 |
        | 43|110011011000| 435|12 | | 43|110100111000| 459|12 |
        | 43|111001100100| 615|12 | | 43|110011100100| 627|12 |
        | 44|111110010000| 159|12 | | 44|100111110000| 249|12 |
        | 44|111010010100| 663|12 | | 44|101110010100| 669|12 |
        | 45|111110001000| 287|12 | | 45|111011001000| 311|12 |
        | 45|111100101000| 335|12 | | 45|111001101000| 359|12 |
        | 45|110011101000| 371|12 | | 45|101110011000| 413|12 |
        | 45|101100111000| 461|12 | | 45|100110111000| 473|12 |
        | 45|101001111000| 485|12 | | 45|111001010100| 679|12 |
        | 45|110011010100| 691|12 | | 45|101011001100| 821|12 |
        | 46|111011010000| 183|12 | | 46|110111010000| 187|12 |
        | 46|111010110000| 215|12 | | 46|101110110000| 221|12 |
        | 46|110101110000| 235|12 | | 46|101101110000| 237|12 |
        | 46|111101001000| 303|12 | | 46|100101111000| 489|12 |
        | 46|111100100100| 591|12 | | 46|111010100100| 599|12 |
        | 46|101110100100| 605|12 | | 46|101011100100| 629|12 |
        | 46|101100110100| 717|12 | | 47|101111001000| 317|12 |
        | 47|110110101000| 347|12 | | 47|100111101000| 377|12 |
        | 47|111010011000| 407|12 | | 47|101011011000| 437|12 |
        | 47|110010111000| 467|12 | | 47|110101100100| 619|12 |
        --------------------------- ---------------------------
 

 Level 7 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        | 60|110110110100| 731|12 | | 60|101101101100| 877|12 |
        | 65|111111100000| 127|12 | | 65|110101101010|1387|12 |
        | 74|111100111000| 463|12 | | 74|111001111000| 487|12 |
        | 74|111010101010|1367|12 | | 76|111011001100| 823|12 |
        | 76|110111001100| 827|12 | | 78|111100110100| 719|12 |
        | 78|111100101100| 847|12 | | 79|111111010000| 191|12 |
        | 79|101111110000| 253|12 | | 79|111010111000| 471|12 |
        | 79|101111010100| 701|12 | | 79|101011110100| 757|12 |
        | 80|110101110100| 747|12 | | 80|101110101100| 861|12 |
        | 81|111101110000| 239|12 | | 81|111011110000| 247|12 |
        | 81|101111101000| 381|12 | | 81|111101011000| 431|12 |
        | 81|110101111000| 491|12 | | 81|111001101100| 871|12 |
        | 81|110110101010|1371|12 | | 82|111110110000| 223|12 |
        | 82|110111110000| 251|12 | | 82|111110011000| 415|12 |
        | 82|110111011000| 443|12 | | 82|110011111000| 499|12 |
        | 82|111011100100| 631|12 | | 82|111010110100| 727|12 |
        | 82|111001110100| 743|12 | | 82|101110011100| 925|12 |
        | 82|101101011100| 941|12 | | 83|111111001000| 319|12 |
        | 83|111110101000| 351|12 | | 83|111011101000| 375|12 |
        | 83|101110111000| 477|12 | | 83|101011111000| 501|12 |
        | 83|100111111000| 505|12 | | 83|111110100100| 607|12 |
        | 83|111101100100| 623|12 | | 83|110111100100| 635|12 |
        | 83|101111100100| 637|12 | | 83|111101010100| 687|12 |
        | 83|111011010100| 695|12 | | 83|110111010100| 699|12 |
        | 83|101110110100| 733|12 | | 83|101101110100| 749|12 |
        | 83|111010101100| 855|12 | | 83|110110101100| 859|12 |
        | 83|110101101100| 875|12 | | 83|101011101100| 885|12 |
        | 83|110101011100| 939|12 | | 83|101011011100| 949|12 |
        | 83|101010111100| 981|12 | | 86|111101101000| 367|12 |
        | 86|110111101000| 379|12 | | 86|101111011000| 445|12 |
        | 86|101101111000| 493|12 | | 86|111110010100| 671|12 |
        | 87|111011011000| 439|12 | | 87|110110111000| 475|12 |
        | 87|110011110100| 755|12 | | 87|101111001100| 829|12 |
        --------------------------- ---------------------------
 

 Level 8 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        | 65|110110110110|1755| 3 | | 99|111100111100| 975| 6 |
        |105|111010111010|1495| 6 | |124|111111110000| 255|12 |
        |124|111101011010|1455|12 | |128|111011101100| 887|12 |
        |128|110111011100| 955|12 | |128|111110101010|1375|12 |
        |128|111011101010|1399|12 | |140|101111110100| 765|12 |
        |141|111101111000| 495|12 | |142|111110011100| 927|12 |
        |143|111111100100| 639|12 | |143|110111011010|1467|12 |
        |146|111111101000| 383|12 | |146|101111111000| 509|12 |
        |146|111111001100| 831|12 | |146|110111101100| 891|12 |
        |146|111011011100| 951|12 | |146|111101101010|1391|12 |
        |146|110111101010|1403|12 | |147|111110110100| 735|12 |
        |147|101101111100|1005|12 | |148|111110111000| 479|12 |
        |148|111011111000| 503|12 | |148|110111110100| 763|12 |
        |148|111101101100| 879|12 | |148|101111101100| 893|12 |
        |148|111101011100| 943|12 | |148|111010111100| 983|12 |
        |148|110110111100| 987|12 | |148|111011011010|1463|12 |
        |148|110110111010|1499|12 | |149|111111011000| 447|12 |
        |149|110111111000| 507|12 | |149|111111010100| 703|12 |
        |149|111011110100| 759|12 | |149|101111011100| 957|12 |
        |149|101011111100|1013|12 | |154|111101110100| 751|12 |
        |154|111110101100| 863|12 | |154|101110111100| 989|12 |
        |154|110101111100|1003|12 | |   |            |    |   |
        --------------------------- ---------------------------
 

 Level 9 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        |146|111011101110|1911| 4 | |218|111111101010|1407|12 |
        |220|111111111000| 511|12 | |220|111101111010|1519|12 |
        |236|111110110110|1759|12 | |239|111111011100| 959|12 |
        |239|111110111100| 991|12 | |239|111101111100|1007|12 |
        |239|111011111100|1015|12 | |240|111111101100| 895|12 |
        |240|110111111100|1019|12 | |240|111110111010|1503|12 |
        |240|111011111010|1527|12 | |240|111101110110|1775|12 |
        |240|111011110110|1783|12 | |241|111111110100| 767|12 |
        |241|101111111100|1021|12 | |241|111111011010|1471|12 |
        |241|110111111010|1531|12 | |   |            |    |   |
        --------------------------- ---------------------------
  

 Level 10 

        --------------------------- ---------------------------
        |  S|  Bin.schema|   G| R | |  S|  Bin.schema|   G| R |
        |---|------------|----|---| |---|------------|----|---|
        |289|111110111110|2015| 6 | |319|111111110110|1791|12 |
        |321|111111111100|1023|12 | |321|111111111010|1535|12 |
        |321|111111011110|1983|12 | |328|111111101110|1919|12 |
        --------------------------- ---------------------------
  

 Level 11 

        ---------------------------
        |  S|  Bin.schema|   G| R |
        |---|------------|----|---|
        |351|111111111110|2047|12 |
        ---------------------------
 

 Level 12 

        ---------------------------
        |  S|  Bin.schema|   G| R |
        |---|------------|----|---|
        |352|111111111111|4095| 1 |
        ---------------------------