Hermite (physicists') Polynomials
    Download
    This page provides an overview of the rules of Hermite (physicists') type.
      All rules listed below can be downloaded packed into a single file here:
    
    
    
      The csv files contain row by row in this order:
    
    
      - real part of the values of the nodes
- imaginary part of the values of the nodes (should be small)
- real part of the values of the weights
- imaginary part of the values of the weights (should be small)
- real part of the maximal error of the nodes (should be tiny)
- imaginary part of the maximal error of the nodes (should be tiny)
- real part of the maximal error of the weights (should be tiny)
- imaginary part of the maximal error of the weights (should be tiny)
Detailed Listing
    Note: Rules printed in red have negative weights.
    
    
      Base Polynomial Order 1
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[1]
        
- 
          Q[1, 2]
        
- 
          Q[1, 2, 6]
        
- 
          Q[1, 2, 6, 10]
        
- 
          Q[1, 2, 6, 10, 16]
        
- 
          Q[1, 2, 6, 10, 16, 68]
        
- 
          Q[1, 2, 6, 10, 18]
        
- 
          Q[1, 2, 6, 10, 18, 66]
        
- 
          Q[1, 2, 6, 10, 18, 68]
        
- 
          Q[1, 2, 6, 10, 22]
        
- 
          Q[1, 2, 6, 10, 24]
        
- 
          Q[1, 2, 6, 10, 96]
        
- 
          Q[1, 2, 6, 12]
        
- 
          Q[1, 2, 6, 12, 28]
        
- 
          Q[1, 2, 6, 12, 34]
        
- 
          Q[1, 2, 6, 12, 36]
        
- 
          Q[1, 2, 6, 12, 48]
        
- 
          Q[1, 2, 6, 14]
        
- 
          Q[1, 2, 6, 14, 22]
        
- 
          Q[1, 2, 6, 14, 24]
        
- 
          Q[1, 2, 6, 14, 28]
        
- 
          Q[1, 2, 6, 14, 32]
        
- 
          Q[1, 2, 6, 14, 34]
        
- 
          Q[1, 2, 6, 14, 78]
        
- 
          Q[1, 2, 6, 14, 80]
        
- 
          Q[1, 2, 6, 14, 82]
        
- 
          Q[1, 2, 6, 24]
        
- 
          Q[1, 2, 6, 24, 36]
        
- 
          Q[1, 2, 6, 24, 40]
        
- 
          Q[1, 2, 6, 24, 44]
        
- 
          Q[1, 2, 6, 26]
        
- 
          Q[1, 2, 6, 44]
        
- 
          Q[1, 2, 6, 46]
        
- 
          Q[1, 2, 6, 48]
        
- 
          Q[1, 2, 6, 54]
        
- 
          Q[1, 2, 6, 56]
        
- 
          Q[1, 2, 6, 66]
        
- 
          Q[1, 2, 6, 78]
        
- 
          Q[1, 2, 8]
        
- 
          Q[1, 2, 8, 20]
        
- 
          Q[1, 2, 8, 22]
        
- 
          Q[1, 2, 8, 26]
        
- 
          Q[1, 2, 8, 74]
        
- 
          Q[1, 2, 8, 84]
        
- 
          Q[1, 2, 8, 86]
        
- 
          Q[1, 2, 10]
        
- 
          Q[1, 2, 10, 20]
        
- 
          Q[1, 2, 10, 22]
        
- 
          Q[1, 2, 10, 26]
        
- 
          Q[1, 2, 10, 72]
        
- 
          Q[1, 2, 10, 74]
        
- 
          Q[1, 2, 10, 92]
        
- 
          Q[1, 2, 18]
        
- 
          Q[1, 2, 18, 28]
        
- 
          Q[1, 2, 18, 30]
        
- 
          Q[1, 2, 18, 34]
        
- 
          Q[1, 2, 18, 96]
        
- 
          Q[1, 2, 20]
        
- 
          Q[1, 2, 22]
        
- 
          Q[1, 2, 24]
        
- 
          Q[1, 2, 26]
        
- 
          Q[1, 2, 28]
        
- 
          Q[1, 2, 28, 46]
        
- 
          Q[1, 2, 38]
        
- 
          Q[1, 2, 40]
        
- 
          Q[1, 2, 42]
        
- 
          Q[1, 2, 44]
        
- 
          Q[1, 2, 46]
        
- 
          Q[1, 2, 48]
        
- 
          Q[1, 2, 50]
        
- 
          Q[1, 2, 64]
        
- 
          Q[1, 2, 66]
        
- 
          Q[1, 2, 68]
        
- 
          Q[1, 2, 70]
        
- 
          Q[1, 2, 72]
        
- 
          Q[1, 2, 74]
        
- 
          Q[1, 2, 76]
        
- 
          Q[1, 2, 78]
        
- 
          Q[1, 2, 80]
        
- 
          Q[1, 2, 98]
        
- 
          Q[1, 2, 100]
        
- 
          Q[1, 4]
        
- 
          Q[1, 4, 8]
        
- 
          Q[1, 4, 8, 14]
        
- 
          Q[1, 4, 8, 14, 96]
        
- 
          Q[1, 4, 8, 16]
        
- 
          Q[1, 4, 8, 18]
        
- 
          Q[1, 4, 8, 26]
        
- 
          Q[1, 4, 8, 90]
        
- 
          Q[1, 4, 10]
        
- 
          Q[1, 4, 10, 34]
        
- 
          Q[1, 4, 12]
        
- 
          Q[1, 4, 12, 34]
        
- 
          Q[1, 4, 14]
        
- 
          Q[1, 4, 14, 32]
        
- 
          Q[1, 4, 14, 34]
        
- 
          Q[1, 4, 18]
        
- 
          Q[1, 4, 18, 38]
        
- 
          Q[1, 4, 28]
        
- 
          Q[1, 4, 30]
        
- 
          Q[1, 4, 32]
        
- 
          Q[1, 4, 34]
        
- 
          Q[1, 4, 42]
        
- 
          Q[1, 4, 44]
        
- 
          Q[1, 4, 56]
        
- 
          Q[1, 4, 58]
        
- 
          Q[1, 4, 60]
        
- 
          Q[1, 4, 62]
        
- 
          Q[1, 4, 64]
        
- 
          Q[1, 4, 66]
        
- 
          Q[1, 4, 76]
        
- 
          Q[1, 4, 78]
        
- 
          Q[1, 4, 80]
        
- 
          Q[1, 4, 82]
        
- 
          Q[1, 4, 96]
        
- 
          Q[1, 4, 98]
        
- 
          Q[1, 4, 100]
        
- 
          Q[1, 6]
        
- 
          Q[1, 6, 12]
        
- 
          Q[1, 6, 12, 64]
        
- 
          Q[1, 6, 12, 66]
        
- 
          Q[1, 6, 12, 78]
        
- 
          Q[1, 6, 14]
        
- 
          Q[1, 6, 16]
        
- 
          Q[1, 6, 20]
        
- 
          Q[1, 6, 38]
        
- 
          Q[1, 6, 40]
        
- 
          Q[1, 6, 42]
        
- 
          Q[1, 6, 48]
        
- 
          Q[1, 6, 50]
        
- 
          Q[1, 6, 52]
        
- 
          Q[1, 6, 76]
        
- 
          Q[1, 6, 78]
        
- 
          Q[1, 6, 90]
        
- 
          Q[1, 6, 92]
        
- 
          Q[1, 6, 94]
        
- 
          Q[1, 6, 96]
        
- 
          Q[1, 6, 98]
        
- 
          Q[1, 8]
        
- 
          Q[1, 8, 14]
        
- 
          Q[1, 8, 14, 22]
        
- 
          Q[1, 8, 14, 22, 90]
        
- 
          Q[1, 8, 14, 26]
        
- 
          Q[1, 8, 14, 70]
        
- 
          Q[1, 8, 16]
        
- 
          Q[1, 8, 18]
        
- 
          Q[1, 8, 22]
        
- 
          Q[1, 8, 46]
        
- 
          Q[1, 8, 56]
        
- 
          Q[1, 8, 58]
        
- 
          Q[1, 8, 60]
        
- 
          Q[1, 8, 78]
        
- 
          Q[1, 10]
        
- 
          Q[1, 10, 18]
        
- 
          Q[1, 10, 20]
        
- 
          Q[1, 10, 24]
        
- 
          Q[1, 10, 64]
        
- 
          Q[1, 10, 66]
        
- 
          Q[1, 10, 68]
        
- 
          Q[1, 12]
        
- 
          Q[1, 12, 20]
        
- 
          Q[1, 12, 22]
        
- 
          Q[1, 12, 26]
        
- 
          Q[1, 12, 72]
        
- 
          Q[1, 12, 74]
        
- 
          Q[1, 12, 92]
        
- 
          Q[1, 14]
        
- 
          Q[1, 14, 24]
        
- 
          Q[1, 14, 26]
        
- 
          Q[1, 14, 30]
        
- 
          Q[1, 14, 100]
        
- 
          Q[1, 16]
        
- 
          Q[1, 16, 26]
        
- 
          Q[1, 16, 28]
        
- 
          Q[1, 16, 30]
        
- 
          Q[1, 16, 32]
        
- 
          Q[1, 18]
        
- 
          Q[1, 18, 30]
        
- 
          Q[1, 18, 34]
        
- 
          Q[1, 20]
        
- 
          Q[1, 20, 36]
        
- 
          Q[1, 22]
        
- 
          Q[1, 22, 38]
        
- 
          Q[1, 22, 40]
        
- 
          Q[1, 24]
        
- 
          Q[1, 24, 42]
        
- 
          Q[1, 26]
        
- 
          Q[1, 26, 44]
        
- 
          Q[1, 28]
        
- 
          Q[1, 30]
        
- 
          Q[1, 32]
        
- 
          Q[1, 34]
        
- 
          Q[1, 36]
        
- 
          Q[1, 38]
        
- 
          Q[1, 40]
        
- 
          Q[1, 42]
        
- 
          Q[1, 44]
        
- 
          Q[1, 46]
        
- 
          Q[1, 48]
        
- 
          Q[1, 50]
        
- 
          Q[1, 52]
        
- 
          Q[1, 54]
        
- 
          Q[1, 56]
        
- 
          Q[1, 58]
        
- 
          Q[1, 60]
        
- 
          Q[1, 62]
        
- 
          Q[1, 64]
        
- 
          Q[1, 66]
        
- 
          Q[1, 68]
        
- 
          Q[1, 70]
        
- 
          Q[1, 72]
        
- 
          Q[1, 74]
        
- 
          Q[1, 76]
        
- 
          Q[1, 78]
        
- 
          Q[1, 80]
        
- 
          Q[1, 82]
        
- 
          Q[1, 84]
        
- 
          Q[1, 86]
        
- 
          Q[1, 88]
        
- 
          Q[1, 90]
        
- 
          Q[1, 92]
        
- 
          Q[1, 94]
        
- 
          Q[1, 96]
        
- 
          Q[1, 98]
        
- 
          Q[1, 100]
        
Base Polynomial Order 2
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[2]
        
- 
          Q[2, 3]
        
- 
          Q[2, 3, 4]
        
- 
          Q[2, 3, 4, 8]
        
- 
          Q[2, 3, 4, 8, 24]
        
- 
          Q[2, 3, 4, 8, 50]
        
- 
          Q[2, 3, 4, 8, 52]
        
- 
          Q[2, 3, 4, 8, 54]
        
- 
          Q[2, 3, 4, 8, 56]
        
- 
          Q[2, 3, 4, 8, 78]
        
- 
          Q[2, 3, 4, 8, 80]
        
- 
          Q[2, 3, 4, 8, 82]
        
- 
          Q[2, 3, 4, 8, 84]
        
- 
          Q[2, 3, 4, 14]
        
- 
          Q[2, 3, 4, 16]
        
- 
          Q[2, 3, 4, 16, 98]
        
- 
          Q[2, 3, 4, 18]
        
- 
          Q[2, 3, 4, 18, 98]
        
- 
          Q[2, 3, 4, 20]
        
- 
          Q[2, 3, 4, 20, 30]
        
- 
          Q[2, 3, 4, 20, 32]
        
- 
          Q[2, 3, 4, 20, 34]
        
- 
          Q[2, 3, 4, 20, 36]
        
- 
          Q[2, 3, 4, 20, 38]
        
- 
          Q[2, 3, 4, 20, 40]
        
- 
          Q[2, 3, 4, 22]
        
- 
          Q[2, 3, 4, 24]
        
- 
          Q[2, 3, 4, 26]
        
- 
          Q[2, 3, 4, 32]
        
- 
          Q[2, 3, 4, 64]
        
- 
          Q[2, 3, 4, 66]
        
- 
          Q[2, 3, 4, 68]
        
- 
          Q[2, 3, 4, 70]
        
- 
          Q[2, 3, 4, 72]
        
- 
          Q[2, 3, 4, 74]
        
- 
          Q[2, 3, 4, 76]
        
- 
          Q[2, 3, 6]
        
- 
          Q[2, 3, 6, 16]
        
- 
          Q[2, 3, 6, 16, 24]
        
- 
          Q[2, 3, 6, 16, 26]
        
- 
          Q[2, 3, 6, 16, 90]
        
- 
          Q[2, 3, 6, 16, 92]
        
- 
          Q[2, 3, 6, 16, 98]
        
- 
          Q[2, 3, 6, 18]
        
- 
          Q[2, 3, 6, 20]
        
- 
          Q[2, 3, 6, 26]
        
- 
          Q[2, 3, 6, 32]
        
- 
          Q[2, 3, 6, 34]
        
- 
          Q[2, 3, 6, 50]
        
- 
          Q[2, 3, 6, 72]
        
- 
          Q[2, 3, 6, 74]
        
- 
          Q[2, 3, 6, 76]
        
- 
          Q[2, 3, 6, 78]
        
- 
          Q[2, 3, 12]
        
- 
          Q[2, 3, 12, 20]
        
- 
          Q[2, 3, 12, 22]
        
- 
          Q[2, 3, 12, 30]
        
- 
          Q[2, 3, 12, 74]
        
- 
          Q[2, 3, 12, 76]
        
- 
          Q[2, 3, 12, 82]
        
- 
          Q[2, 3, 14]
        
- 
          Q[2, 3, 14, 28]
        
- 
          Q[2, 3, 14, 32]
        
- 
          Q[2, 3, 16]
        
- 
          Q[2, 3, 16, 28]
        
- 
          Q[2, 3, 16, 30]
        
- 
          Q[2, 3, 16, 34]
        
- 
          Q[2, 3, 16, 36]
        
- 
          Q[2, 3, 24]
        
- 
          Q[2, 3, 26]
        
- 
          Q[2, 3, 28]
        
- 
          Q[2, 3, 30]
        
- 
          Q[2, 3, 32]
        
- 
          Q[2, 3, 34]
        
- 
          Q[2, 3, 36]
        
- 
          Q[2, 3, 38]
        
- 
          Q[2, 3, 56]
        
- 
          Q[2, 3, 58]
        
- 
          Q[2, 3, 60]
        
- 
          Q[2, 3, 62]
        
- 
          Q[2, 3, 64]
        
- 
          Q[2, 3, 66]
        
- 
          Q[2, 3, 68]
        
- 
          Q[2, 3, 78]
        
- 
          Q[2, 3, 80]
        
- 
          Q[2, 3, 82]
        
- 
          Q[2, 3, 84]
        
- 
          Q[2, 3, 86]
        
- 
          Q[2, 5]
        
- 
          Q[2, 5, 14]
        
- 
          Q[2, 5, 14, 56]
        
- 
          Q[2, 5, 16]
        
- 
          Q[2, 5, 18]
        
- 
          Q[2, 5, 22]
        
- 
          Q[2, 5, 24]
        
- 
          Q[2, 5, 36]
        
- 
          Q[2, 5, 36, 56]
        
- 
          Q[2, 5, 44]
        
- 
          Q[2, 5, 56]
        
- 
          Q[2, 5, 58]
        
- 
          Q[2, 5, 60]
        
- 
          Q[2, 5, 62]
        
- 
          Q[2, 5, 72]
        
- 
          Q[2, 5, 74]
        
- 
          Q[2, 5, 76]
        
- 
          Q[2, 5, 78]
        
- 
          Q[2, 7]
        
- 
          Q[2, 7, 16]
        
- 
          Q[2, 7, 18]
        
- 
          Q[2, 7, 22]
        
- 
          Q[2, 7, 48]
        
- 
          Q[2, 7, 58]
        
- 
          Q[2, 7, 60]
        
- 
          Q[2, 7, 62]
        
- 
          Q[2, 7, 82]
        
- 
          Q[2, 9]
        
- 
          Q[2, 9, 16]
        
- 
          Q[2, 9, 18]
        
- 
          Q[2, 9, 52]
        
- 
          Q[2, 9, 68]
        
- 
          Q[2, 10]
        
- 
          Q[2, 10, 18]
        
- 
          Q[2, 10, 20]
        
- 
          Q[2, 10, 21]
        
- 
          Q[2, 10, 23]
        
- 
          Q[2, 10, 24]
        
- 
          Q[2, 10, 27]
        
- 
          Q[2, 10, 30]
        
- 
          Q[2, 10, 51]
        
- 
          Q[2, 10, 53]
        
- 
          Q[2, 10, 91]
        
- 
          Q[2, 12]
        
- 
          Q[2, 12, 23]
        
- 
          Q[2, 12, 29]
        
- 
          Q[2, 12, 99]
        
- 
          Q[2, 14]
        
- 
          Q[2, 14, 25]
        
- 
          Q[2, 14, 31]
        
- 
          Q[2, 14, 100]
        
- 
          Q[2, 16]
        
- 
          Q[2, 16, 33]
        
- 
          Q[2, 18]
        
- 
          Q[2, 18, 35]
        
- 
          Q[2, 18, 37]
        
- 
          Q[2, 19]
        
- 
          Q[2, 19, 28]
        
- 
          Q[2, 19, 30]
        
- 
          Q[2, 19, 34]
        
- 
          Q[2, 19, 36]
        
- 
          Q[2, 20]
        
- 
          Q[2, 20, 31]
        
- 
          Q[2, 20, 33]
        
- 
          Q[2, 20, 37]
        
- 
          Q[2, 21]
        
- 
          Q[2, 21, 32]
        
- 
          Q[2, 21, 36]
        
- 
          Q[2, 23]
        
- 
          Q[2, 23, 38]
        
- 
          Q[2, 25]
        
- 
          Q[2, 27]
        
- 
          Q[2, 29]
        
- 
          Q[2, 31]
        
- 
          Q[2, 33]
        
- 
          Q[2, 35]
        
- 
          Q[2, 37]
        
- 
          Q[2, 39]
        
- 
          Q[2, 40]
        
- 
          Q[2, 42]
        
- 
          Q[2, 44]
        
- 
          Q[2, 46]
        
- 
          Q[2, 48]
        
- 
          Q[2, 50]
        
- 
          Q[2, 52]
        
- 
          Q[2, 54]
        
- 
          Q[2, 56]
        
- 
          Q[2, 58]
        
- 
          Q[2, 59]
        
- 
          Q[2, 60]
        
- 
          Q[2, 61]
        
- 
          Q[2, 63]
        
- 
          Q[2, 65]
        
- 
          Q[2, 67]
        
- 
          Q[2, 69]
        
- 
          Q[2, 71]
        
- 
          Q[2, 73]
        
- 
          Q[2, 75]
        
- 
          Q[2, 77]
        
- 
          Q[2, 79]
        
- 
          Q[2, 81]
        
- 
          Q[2, 83]
        
- 
          Q[2, 85]
        
- 
          Q[2, 87]
        
- 
          Q[2, 88]
        
- 
          Q[2, 90]
        
- 
          Q[2, 92]
        
- 
          Q[2, 94]
        
- 
          Q[2, 96]
        
- 
          Q[2, 98]
        
- 
          Q[2, 100]
        
Base Polynomial Order 3
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[3]
        
- 
          Q[3, 6]
        
- 
          Q[3, 6, 10]
        
- 
          Q[3, 6, 10, 16]
        
- 
          Q[3, 6, 10, 16, 68]
        
- 
          Q[3, 6, 10, 18]
        
- 
          Q[3, 6, 10, 18, 66]
        
- 
          Q[3, 6, 10, 18, 68]
        
- 
          Q[3, 6, 10, 22]
        
- 
          Q[3, 6, 10, 24]
        
- 
          Q[3, 6, 10, 96]
        
- 
          Q[3, 6, 12]
        
- 
          Q[3, 6, 12, 28]
        
- 
          Q[3, 6, 12, 34]
        
- 
          Q[3, 6, 12, 36]
        
- 
          Q[3, 6, 12, 48]
        
- 
          Q[3, 6, 14]
        
- 
          Q[3, 6, 14, 22]
        
- 
          Q[3, 6, 14, 24]
        
- 
          Q[3, 6, 14, 28]
        
- 
          Q[3, 6, 14, 32]
        
- 
          Q[3, 6, 14, 34]
        
- 
          Q[3, 6, 14, 78]
        
- 
          Q[3, 6, 14, 80]
        
- 
          Q[3, 6, 14, 82]
        
- 
          Q[3, 6, 24]
        
- 
          Q[3, 6, 24, 36]
        
- 
          Q[3, 6, 24, 40]
        
- 
          Q[3, 6, 24, 44]
        
- 
          Q[3, 6, 26]
        
- 
          Q[3, 6, 44]
        
- 
          Q[3, 6, 46]
        
- 
          Q[3, 6, 48]
        
- 
          Q[3, 6, 54]
        
- 
          Q[3, 6, 56]
        
- 
          Q[3, 6, 66]
        
- 
          Q[3, 6, 78]
        
- 
          Q[3, 8]
        
- 
          Q[3, 8, 20]
        
- 
          Q[3, 8, 22]
        
- 
          Q[3, 8, 26]
        
- 
          Q[3, 8, 74]
        
- 
          Q[3, 8, 84]
        
- 
          Q[3, 8, 86]
        
- 
          Q[3, 10]
        
- 
          Q[3, 10, 20]
        
- 
          Q[3, 10, 22]
        
- 
          Q[3, 10, 26]
        
- 
          Q[3, 10, 72]
        
- 
          Q[3, 10, 74]
        
- 
          Q[3, 10, 92]
        
- 
          Q[3, 18]
        
- 
          Q[3, 18, 28]
        
- 
          Q[3, 18, 30]
        
- 
          Q[3, 18, 34]
        
- 
          Q[3, 18, 96]
        
- 
          Q[3, 20]
        
- 
          Q[3, 22]
        
- 
          Q[3, 24]
        
- 
          Q[3, 26]
        
- 
          Q[3, 28]
        
- 
          Q[3, 28, 46]
        
- 
          Q[3, 38]
        
- 
          Q[3, 40]
        
- 
          Q[3, 42]
        
- 
          Q[3, 44]
        
- 
          Q[3, 46]
        
- 
          Q[3, 48]
        
- 
          Q[3, 50]
        
- 
          Q[3, 64]
        
- 
          Q[3, 66]
        
- 
          Q[3, 68]
        
- 
          Q[3, 70]
        
- 
          Q[3, 72]
        
- 
          Q[3, 74]
        
- 
          Q[3, 76]
        
- 
          Q[3, 78]
        
- 
          Q[3, 80]
        
- 
          Q[3, 98]
        
- 
          Q[3, 100]
        
Base Polynomial Order 4
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[4]
        
- 
          Q[4, 5]
        
- 
          Q[4, 5, 8]
        
- 
          Q[4, 5, 8, 18]
        
- 
          Q[4, 5, 8, 18, 44]
        
- 
          Q[4, 5, 8, 36]
        
- 
          Q[4, 5, 8, 44]
        
- 
          Q[4, 5, 8, 46]
        
- 
          Q[4, 5, 8, 48]
        
- 
          Q[4, 5, 8, 78]
        
- 
          Q[4, 5, 8, 80]
        
- 
          Q[4, 5, 10]
        
- 
          Q[4, 5, 10, 36]
        
- 
          Q[4, 5, 10, 36, 54]
        
- 
          Q[4, 5, 10, 36, 56]
        
- 
          Q[4, 5, 10, 38]
        
- 
          Q[4, 5, 10, 46]
        
- 
          Q[4, 5, 10, 48]
        
- 
          Q[4, 5, 10, 52]
        
- 
          Q[4, 5, 10, 54]
        
- 
          Q[4, 5, 14]
        
- 
          Q[4, 5, 22]
        
- 
          Q[4, 5, 22, 42]
        
- 
          Q[4, 5, 30]
        
- 
          Q[4, 5, 30, 48]
        
- 
          Q[4, 5, 32]
        
- 
          Q[4, 5, 34]
        
- 
          Q[4, 5, 36]
        
- 
          Q[4, 5, 38]
        
- 
          Q[4, 5, 40]
        
- 
          Q[4, 5, 54]
        
- 
          Q[4, 5, 56]
        
- 
          Q[4, 5, 58]
        
- 
          Q[4, 5, 60]
        
- 
          Q[4, 5, 68]
        
- 
          Q[4, 5, 70]
        
- 
          Q[4, 5, 72]
        
- 
          Q[4, 5, 82]
        
- 
          Q[4, 5, 84]
        
- 
          Q[4, 7]
        
- 
          Q[4, 7, 30]
        
- 
          Q[4, 7, 40]
        
- 
          Q[4, 7, 42]
        
- 
          Q[4, 7, 48]
        
- 
          Q[4, 7, 50]
        
- 
          Q[4, 7, 52]
        
- 
          Q[4, 7, 60]
        
- 
          Q[4, 7, 62]
        
- 
          Q[4, 9]
        
- 
          Q[4, 9, 30]
        
- 
          Q[4, 9, 44]
        
- 
          Q[4, 9, 94]
        
- 
          Q[4, 9, 96]
        
- 
          Q[4, 9, 98]
        
- 
          Q[4, 10]
        
- 
          Q[4, 10, 18]
        
- 
          Q[4, 10, 19]
        
- 
          Q[4, 10, 20]
        
- 
          Q[4, 10, 21]
        
- 
          Q[4, 10, 23]
        
- 
          Q[4, 10, 25]
        
- 
          Q[4, 10, 31]
        
- 
          Q[4, 10, 55]
        
- 
          Q[4, 10, 57]
        
- 
          Q[4, 10, 59]
        
- 
          Q[4, 10, 65]
        
- 
          Q[4, 10, 67]
        
- 
          Q[4, 10, 90]
        
- 
          Q[4, 10, 95]
        
- 
          Q[4, 11]
        
- 
          Q[4, 11, 26]
        
- 
          Q[4, 11, 28]
        
- 
          Q[4, 11, 100]
        
- 
          Q[4, 15]
        
- 
          Q[4, 15, 22]
        
- 
          Q[4, 15, 24]
        
- 
          Q[4, 15, 28]
        
- 
          Q[4, 15, 30]
        
- 
          Q[4, 20]
        
- 
          Q[4, 20, 29]
        
- 
          Q[4, 20, 31]
        
- 
          Q[4, 20, 39]
        
- 
          Q[4, 22]
        
- 
          Q[4, 24]
        
- 
          Q[4, 26]
        
- 
          Q[4, 27]
        
- 
          Q[4, 27, 44]
        
- 
          Q[4, 27, 46]
        
- 
          Q[4, 28]
        
- 
          Q[4, 29]
        
- 
          Q[4, 30]
        
- 
          Q[4, 31]
        
- 
          Q[4, 33]
        
- 
          Q[4, 35]
        
- 
          Q[4, 36]
        
- 
          Q[4, 38]
        
- 
          Q[4, 38, 57]
        
- 
          Q[4, 43]
        
- 
          Q[4, 45]
        
- 
          Q[4, 47]
        
- 
          Q[4, 49]
        
- 
          Q[4, 51]
        
- 
          Q[4, 53]
        
- 
          Q[4, 54]
        
- 
          Q[4, 55]
        
- 
          Q[4, 63]
        
- 
          Q[4, 65]
        
- 
          Q[4, 67]
        
- 
          Q[4, 69]
        
- 
          Q[4, 74]
        
- 
          Q[4, 76]
        
- 
          Q[4, 78]
        
- 
          Q[4, 80]
        
- 
          Q[4, 82]
        
- 
          Q[4, 84]
        
- 
          Q[4, 86]
        
- 
          Q[4, 87]
        
- 
          Q[4, 88]
        
- 
          Q[4, 89]
        
- 
          Q[4, 90]
        
- 
          Q[4, 100]
        
Base Polynomial Order 5
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[5]
        
- 
          Q[5, 8]
        
- 
          Q[5, 8, 14]
        
- 
          Q[5, 8, 14, 96]
        
- 
          Q[5, 8, 16]
        
- 
          Q[5, 8, 18]
        
- 
          Q[5, 8, 26]
        
- 
          Q[5, 8, 90]
        
- 
          Q[5, 10]
        
- 
          Q[5, 10, 34]
        
- 
          Q[5, 12]
        
- 
          Q[5, 12, 34]
        
- 
          Q[5, 14]
        
- 
          Q[5, 14, 32]
        
- 
          Q[5, 14, 34]
        
- 
          Q[5, 18]
        
- 
          Q[5, 18, 38]
        
- 
          Q[5, 28]
        
- 
          Q[5, 30]
        
- 
          Q[5, 32]
        
- 
          Q[5, 34]
        
- 
          Q[5, 42]
        
- 
          Q[5, 44]
        
- 
          Q[5, 56]
        
- 
          Q[5, 58]
        
- 
          Q[5, 60]
        
- 
          Q[5, 62]
        
- 
          Q[5, 64]
        
- 
          Q[5, 66]
        
- 
          Q[5, 76]
        
- 
          Q[5, 78]
        
- 
          Q[5, 80]
        
- 
          Q[5, 82]
        
- 
          Q[5, 96]
        
- 
          Q[5, 98]
        
- 
          Q[5, 100]
        
Base Polynomial Order 6
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[6]
        
- 
          Q[6, 9]
        
- 
          Q[6, 9, 14]
        
- 
          Q[6, 9, 14, 68]
        
- 
          Q[6, 9, 16]
        
- 
          Q[6, 9, 16, 66]
        
- 
          Q[6, 9, 16, 68]
        
- 
          Q[6, 9, 54]
        
- 
          Q[6, 9, 62]
        
- 
          Q[6, 9, 74]
        
- 
          Q[6, 9, 76]
        
- 
          Q[6, 9, 94]
        
- 
          Q[6, 11]
        
- 
          Q[6, 11, 52]
        
- 
          Q[6, 13]
        
- 
          Q[6, 14]
        
- 
          Q[6, 14, 35]
        
- 
          Q[6, 16]
        
- 
          Q[6, 16, 33]
        
- 
          Q[6, 17]
        
- 
          Q[6, 30]
        
- 
          Q[6, 32]
        
- 
          Q[6, 34]
        
- 
          Q[6, 36]
        
- 
          Q[6, 37]
        
- 
          Q[6, 38]
        
- 
          Q[6, 39]
        
- 
          Q[6, 41]
        
- 
          Q[6, 44]
        
- 
          Q[6, 46]
        
- 
          Q[6, 49]
        
- 
          Q[6, 51]
        
- 
          Q[6, 53]
        
- 
          Q[6, 63]
        
- 
          Q[6, 65]
        
- 
          Q[6, 67]
        
- 
          Q[6, 69]
        
- 
          Q[6, 71]
        
- 
          Q[6, 72]
        
- 
          Q[6, 79]
        
- 
          Q[6, 81]
        
- 
          Q[6, 83]
        
- 
          Q[6, 85]
        
- 
          Q[6, 87]
        
Base Polynomial Order 7
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[7]
        
- 
          Q[7, 12]
        
- 
          Q[7, 12, 64]
        
- 
          Q[7, 12, 66]
        
- 
          Q[7, 12, 78]
        
- 
          Q[7, 14]
        
- 
          Q[7, 16]
        
- 
          Q[7, 20]
        
- 
          Q[7, 38]
        
- 
          Q[7, 40]
        
- 
          Q[7, 42]
        
- 
          Q[7, 48]
        
- 
          Q[7, 50]
        
- 
          Q[7, 52]
        
- 
          Q[7, 76]
        
- 
          Q[7, 78]
        
- 
          Q[7, 90]
        
- 
          Q[7, 92]
        
- 
          Q[7, 94]
        
- 
          Q[7, 96]
        
- 
          Q[7, 98]
        
Base Polynomial Order 8
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[8]
        
- 
          Q[8, 11]
        
- 
          Q[8, 11, 16]
        
- 
          Q[8, 11, 18]
        
- 
          Q[8, 11, 18, 66]
        
- 
          Q[8, 11, 28]
        
- 
          Q[8, 11, 46]
        
- 
          Q[8, 11, 48]
        
- 
          Q[8, 11, 54]
        
- 
          Q[8, 11, 56]
        
- 
          Q[8, 11, 62]
        
- 
          Q[8, 11, 64]
        
- 
          Q[8, 13]
        
- 
          Q[8, 13, 68]
        
- 
          Q[8, 13, 70]
        
- 
          Q[8, 13, 84]
        
- 
          Q[8, 13, 86]
        
- 
          Q[8, 15]
        
- 
          Q[8, 16]
        
- 
          Q[8, 16, 56]
        
- 
          Q[8, 17]
        
- 
          Q[8, 19]
        
- 
          Q[8, 22]
        
- 
          Q[8, 22, 39]
        
- 
          Q[8, 40]
        
- 
          Q[8, 42]
        
- 
          Q[8, 44]
        
- 
          Q[8, 50]
        
- 
          Q[8, 52]
        
- 
          Q[8, 54]
        
- 
          Q[8, 55]
        
- 
          Q[8, 57]
        
- 
          Q[8, 59]
        
- 
          Q[8, 81]
        
- 
          Q[8, 83]
        
- 
          Q[8, 95]
        
- 
          Q[8, 97]
        
- 
          Q[8, 99]
        
Base Polynomial Order 9
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[9]
        
- 
          Q[9, 14]
        
- 
          Q[9, 14, 22]
        
- 
          Q[9, 14, 22, 90]
        
- 
          Q[9, 14, 26]
        
- 
          Q[9, 14, 70]
        
- 
          Q[9, 16]
        
- 
          Q[9, 18]
        
- 
          Q[9, 22]
        
- 
          Q[9, 46]
        
- 
          Q[9, 56]
        
- 
          Q[9, 58]
        
- 
          Q[9, 60]
        
- 
          Q[9, 78]
        
Base Polynomial Order 10
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
      
        - 
          Q[10]
        
- 
          Q[10, 15]
        
- 
          Q[10, 15, 92]
        
- 
          Q[10, 17]
        
- 
          Q[10, 19]
        
- 
          Q[10, 20]
        
- 
          Q[10, 21]
        
- 
          Q[10, 23]
        
- 
          Q[10, 48]
        
- 
          Q[10, 50]
        
- 
          Q[10, 52]
        
- 
          Q[10, 58]
        
- 
          Q[10, 60]
        
- 
          Q[10, 62]
        
- 
          Q[10, 85]
        
Base Polynomial Order 11
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 12
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 13
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 14
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 15
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 16
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 17
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 18
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 19
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 20
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 21
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 22
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 23
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 24
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 25
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 26
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 27
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 28
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 29
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 30
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 31
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 32
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 33
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 34
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 35
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 36
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 37
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 38
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 39
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 40
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 41
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 42
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 43
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 44
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 45
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 46
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 47
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 48
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 49
    
      Maximal search order: 100
      Maximal recursion depth: 6
    
    
  
      Base Polynomial Order 50
    
      Maximal search order: 100
      Maximal recursion depth: 6