Legendre Polynomials

Download

This page provides an overview of the rules of Legendre type. All rules listed below can be downloaded packed into a single file here:

• csv files with nodes and weights
• raw text files as output by the 'kes' software

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: 50
Maximal recursion depth: 5

• Q[1]
• Q[1, 2]
• Q[1, 2, 4]
• Q[1, 2, 4, 8]
• Q[1, 2, 4, 8, 16]
• Q[1, 2, 4, 8, 16, 30]
• Q[1, 2, 4, 8, 16, 32]
• Q[1, 2, 4, 8, 30]
• Q[1, 2, 4, 8, 30, 46]
• Q[1, 2, 4, 14]
• Q[1, 2, 4, 14, 22]
• Q[1, 2, 4, 14, 22, 44]
• Q[1, 2, 4, 14, 42]
• Q[1, 2, 4, 14, 44]
• Q[1, 2, 4, 22]
• Q[1, 2, 4, 22, 30]
• Q[1, 2, 4, 36]
• Q[1, 2, 4, 36, 44]
• Q[1, 2, 4, 44]
• Q[1, 2, 4, 48]
• Q[1, 2, 8]
• Q[1, 2, 8, 10]
• Q[1, 2, 8, 10, 20]
• Q[1, 2, 8, 10, 20, 42]
• Q[1, 2, 8, 10, 20, 44]
• Q[1, 2, 8, 10, 42]
• Q[1, 2, 8, 12]
• Q[1, 2, 8, 12, 20]
• Q[1, 2, 8, 12, 20, 42]
• Q[1, 2, 8, 12, 44]
• Q[1, 2, 8, 22]
• Q[1, 2, 8, 22, 34]
• Q[1, 2, 8, 24]
• Q[1, 2, 8, 24, 32]
• Q[1, 2, 8, 24, 34]
• Q[1, 2, 8, 32]
• Q[1, 2, 8, 32, 44]
• Q[1, 2, 8, 44]
• Q[1, 2, 8, 46]
• Q[1, 2, 10]
• Q[1, 2, 10, 14]
• Q[1, 2, 10, 14, 26]
• Q[1, 2, 10, 14, 28]
• Q[1, 2, 10, 26]
• Q[1, 2, 10, 26, 40]
• Q[1, 2, 10, 28]
• Q[1, 2, 10, 28, 40]
• Q[1, 2, 14]
• Q[1, 2, 14, 18]
• Q[1, 2, 14, 18, 36]
• Q[1, 2, 14, 36]
• Q[1, 2, 18]
• Q[1, 2, 18, 22]
• Q[1, 2, 18, 22, 44]
• Q[1, 2, 18, 44]
• Q[1, 2, 22]
• Q[1, 2, 22, 26]
• Q[1, 2, 22, 50]
• Q[1, 2, 28]
• Q[1, 2, 28, 32]
• Q[1, 2, 32]
• Q[1, 2, 32, 36]
• Q[1, 2, 36]
• Q[1, 2, 36, 40]
• Q[1, 2, 40]
• Q[1, 2, 40, 42]
• Q[1, 2, 40, 44]
• Q[1, 2, 42]
• Q[1, 2, 42, 46]
• Q[1, 2, 46]
• Q[1, 2, 46, 50]
• Q[1, 2, 50]
• Q[1, 4]
• Q[1, 4, 6]
• Q[1, 4, 6, 12]
• Q[1, 4, 6, 12, 24]
• Q[1, 4, 6, 12, 24, 46]
• Q[1, 4, 6, 12, 24, 48]
• Q[1, 4, 6, 12, 46]
• Q[1, 4, 6, 22]
• Q[1, 4, 6, 22, 34]
• Q[1, 4, 6, 34]
• Q[1, 4, 6, 34, 46]
• Q[1, 4, 6, 46]
• Q[1, 4, 12]
• Q[1, 4, 12, 16]
• Q[1, 4, 12, 18]
• Q[1, 4, 12, 18, 32]
• Q[1, 4, 12, 34]
• Q[1, 4, 12, 36]
• Q[1, 4, 12, 36, 50]
• Q[1, 4, 12, 38]
• Q[1, 4, 12, 38, 50]
• Q[1, 4, 12, 50]
• Q[1, 4, 16]
• Q[1, 4, 16, 22]
• Q[1, 4, 16, 22, 44]
• Q[1, 4, 16, 44]
• Q[1, 4, 22]
• Q[1, 4, 22, 28]
• Q[1, 4, 28]
• Q[1, 4, 28, 34]
• Q[1, 4, 34]
• Q[1, 4, 34, 40]
• Q[1, 4, 44]
• Q[1, 4, 44, 50]
• Q[1, 4, 46]
• Q[1, 4, 46, 50]
• Q[1, 4, 50]
• Q[1, 6]
• Q[1, 6, 8]
• Q[1, 6, 8, 16]
• Q[1, 6, 8, 16, 32]
• Q[1, 6, 8, 16, 34]
• Q[1, 6, 8, 30]
• Q[1, 6, 8, 30, 46]
• Q[1, 6, 8, 46]
• Q[1, 6, 16]
• Q[1, 6, 16, 22]
• Q[1, 6, 16, 22, 48]
• Q[1, 6, 16, 24]
• Q[1, 6, 16, 24, 44]
• Q[1, 6, 16, 46]
• Q[1, 6, 16, 48]
• Q[1, 6, 16, 50]
• Q[1, 6, 22]
• Q[1, 6, 22, 30]
• Q[1, 6, 30]
• Q[1, 6, 30, 38]
• Q[1, 6, 38]
• Q[1, 6, 38, 46]
• Q[1, 6, 46]
• Q[1, 8]
• Q[1, 8, 10]
• Q[1, 8, 10, 20]
• Q[1, 8, 10, 20, 40]
• Q[1, 8, 10, 20, 42]
• Q[1, 8, 10, 38]
• Q[1, 8, 20]
• Q[1, 8, 20, 28]
• Q[1, 8, 20, 30]
• Q[1, 8, 28]
• Q[1, 8, 28, 38]
• Q[1, 8, 38]
• Q[1, 8, 38, 48]
• Q[1, 8, 48]
• Q[1, 10]
• Q[1, 10, 12]
• Q[1, 10, 12, 24]
• Q[1, 10, 12, 24, 48]
• Q[1, 10, 12, 24, 50]
• Q[1, 10, 12, 46]
• Q[1, 10, 24]
• Q[1, 10, 24, 34]
• Q[1, 10, 24, 36]
• Q[1, 10, 34]
• Q[1, 10, 34, 46]
• Q[1, 10, 46]
• Q[1, 12]
• Q[1, 12, 14]
• Q[1, 12, 14, 28]
• Q[1, 12, 28]
• Q[1, 12, 28, 40]
• Q[1, 12, 28, 42]
• Q[1, 12, 40]
• Q[1, 14]
• Q[1, 14, 16]
• Q[1, 14, 16, 32]
• Q[1, 14, 32]
• Q[1, 14, 32, 46]
• Q[1, 14, 32, 48]
• Q[1, 14, 46]
• Q[1, 16]
• Q[1, 16, 18]
• Q[1, 16, 18, 36]
• Q[1, 16, 36]
• Q[1, 18]
• Q[1, 18, 20]
• Q[1, 18, 20, 40]
• Q[1, 18, 40]
• Q[1, 20]
• Q[1, 20, 22]
• Q[1, 20, 22, 44]
• Q[1, 20, 44]
• Q[1, 22]
• Q[1, 22, 24]
• Q[1, 22, 24, 48]
• Q[1, 22, 48]
• Q[1, 24]
• Q[1, 24, 26]
• Q[1, 26]
• Q[1, 26, 28]
• Q[1, 28]
• Q[1, 28, 30]
• Q[1, 30]
• Q[1, 30, 32]
• Q[1, 32]
• Q[1, 32, 34]
• Q[1, 34]
• Q[1, 34, 36]
• Q[1, 36]
• Q[1, 36, 38]
• Q[1, 38]
• Q[1, 38, 40]
• Q[1, 40]
• Q[1, 40, 42]
• Q[1, 42]
• Q[1, 42, 44]
• Q[1, 44]
• Q[1, 44, 46]
• Q[1, 46]
• Q[1, 46, 48]
• Q[1, 48]
• Q[1, 48, 50]
• Q[1, 50]

Base Polynomial Order 2

Maximal search order: 50
Maximal recursion depth: 5

• Q[2]
• Q[2, 3]
• Q[2, 3, 6]
• Q[2, 3, 6, 12]
• Q[2, 3, 6, 12, 24]
• Q[2, 3, 6, 12, 44]
• Q[2, 3, 6, 20]
• Q[2, 3, 6, 22]
• Q[2, 3, 6, 22, 34]
• Q[2, 3, 6, 42]
• Q[2, 3, 10]
• Q[2, 3, 10, 16]
• Q[2, 3, 10, 16, 32]
• Q[2, 3, 10, 32]
• Q[2, 3, 10, 32, 48]
• Q[2, 3, 10, 46]
• Q[2, 3, 16]
• Q[2, 3, 16, 22]
• Q[2, 3, 16, 22, 44]
• Q[2, 3, 16, 44]
• Q[2, 3, 22]
• Q[2, 3, 22, 24]
• Q[2, 3, 22, 24, 26]
• Q[2, 3, 22, 24, 28]
• Q[2, 3, 22, 26]
• Q[2, 3, 26]
• Q[2, 3, 26, 32]
• Q[2, 3, 32]
• Q[2, 3, 32, 38]
• Q[2, 3, 34]
• Q[2, 3, 34, 40]
• Q[2, 3, 40]
• Q[2, 3, 40, 46]
• Q[2, 3, 42]
• Q[2, 3, 42, 48]
• Q[2, 3, 50]
• Q[2, 4]
• Q[2, 4, 6]
• Q[2, 4, 6, 9]
• Q[2, 4, 6, 9, 20]
• Q[2, 4, 6, 9, 20, 22]
• Q[2, 4, 6, 9, 22]
• Q[2, 4, 6, 9, 22, 46]
• Q[2, 4, 6, 9, 42]
• Q[2, 4, 6, 10]
• Q[2, 4, 6, 10, 21]
• Q[2, 4, 6, 10, 23]
• Q[2, 4, 6, 10, 23, 46]
• Q[2, 4, 6, 10, 26]
• Q[2, 4, 6, 10, 26, 42]
• Q[2, 4, 6, 10, 26, 45]
• Q[2, 4, 6, 10, 26, 46]
• Q[2, 4, 6, 10, 42]
• Q[2, 4, 6, 10, 50]
• Q[2, 4, 6, 22]
• Q[2, 4, 6, 22, 35]
• Q[2, 4, 6, 22, 36]
• Q[2, 4, 6, 25]
• Q[2, 4, 6, 29]
• Q[2, 4, 6, 29, 42]
• Q[2, 4, 6, 31]
• Q[2, 4, 6, 31, 44]
• Q[2, 4, 6, 43]
• Q[2, 4, 6, 47]
• Q[2, 4, 7]
• Q[2, 4, 7, 12]
• Q[2, 4, 7, 12, 22]
• Q[2, 4, 7, 22]
• Q[2, 4, 7, 22, 36]
• Q[2, 4, 7, 26]
• Q[2, 4, 7, 26, 38]
• Q[2, 4, 7, 48]
• Q[2, 4, 9]
• Q[2, 4, 9, 16]
• Q[2, 4, 9, 28]
• Q[2, 4, 9, 30]
• Q[2, 4, 9, 30, 44]
• Q[2, 4, 13]
• Q[2, 4, 13, 20]
• Q[2, 4, 13, 20, 38]
• Q[2, 4, 13, 38]
• Q[2, 4, 14]
• Q[2, 4, 14, 20]
• Q[2, 4, 14, 20, 40]
• Q[2, 4, 14, 36]
• Q[2, 4, 14, 39]
• Q[2, 4, 15]
• Q[2, 4, 15, 22]
• Q[2, 4, 15, 22, 44]
• Q[2, 4, 15, 44]
• Q[2, 4, 16]
• Q[2, 4, 16, 22]
• Q[2, 4, 16, 22, 44]
• Q[2, 4, 16, 22, 45]
• Q[2, 4, 16, 23]
• Q[2, 4, 16, 23, 44]
• Q[2, 4, 16, 24]
• Q[2, 4, 16, 24, 45]
• Q[2, 4, 16, 44]
• Q[2, 4, 16, 45]
• Q[2, 4, 22]
• Q[2, 4, 22, 29]
• Q[2, 4, 24]
• Q[2, 4, 24, 29]
• Q[2, 4, 24, 30]
• Q[2, 4, 24, 31]
• Q[2, 4, 24, 32]
• Q[2, 4, 29]
• Q[2, 4, 29, 36]
• Q[2, 4, 35]
• Q[2, 4, 35, 42]
• Q[2, 4, 36]
• Q[2, 4, 36, 42]
• Q[2, 4, 36, 43]
• Q[2, 4, 36, 44]
• Q[2, 4, 37]
• Q[2, 4, 37, 42]
• Q[2, 4, 37, 44]
• Q[2, 4, 42]
• Q[2, 4, 42, 49]
• Q[2, 4, 43]
• Q[2, 4, 43, 50]
• Q[2, 6]
• Q[2, 6, 7]
• Q[2, 6, 7, 30]
• Q[2, 6, 7, 30, 46]
• Q[2, 6, 8]
• Q[2, 6, 8, 9]
• Q[2, 6, 8, 9, 22]
• Q[2, 6, 8, 12]
• Q[2, 6, 8, 12, 27]
• Q[2, 6, 8, 13]
• Q[2, 6, 8, 13, 26]
• Q[2, 6, 8, 13, 48]
• Q[2, 6, 8, 14]
• Q[2, 6, 8, 14, 25]
• Q[2, 6, 8, 14, 28]
• Q[2, 6, 8, 27]
• Q[2, 6, 8, 28]
• Q[2, 6, 8, 35]
• Q[2, 6, 8, 35, 50]
• Q[2, 6, 9]
• Q[2, 6, 9, 14]
• Q[2, 6, 9, 14, 30]
• Q[2, 6, 9, 32]
• Q[2, 6, 9, 32, 50]
• Q[2, 6, 16]
• Q[2, 6, 16, 25]
• Q[2, 6, 16, 25, 50]
• Q[2, 6, 16, 50]
• Q[2, 6, 17]
• Q[2, 6, 17, 50]
• Q[2, 6, 18]
• Q[2, 6, 18, 23]
• Q[2, 6, 18, 23, 48]
• Q[2, 6, 18, 23, 50]
• Q[2, 6, 18, 24]
• Q[2, 6, 18, 24, 48]
• Q[2, 6, 18, 24, 49]
• Q[2, 6, 18, 24, 50]
• Q[2, 6, 18, 25]
• Q[2, 6, 18, 26]
• Q[2, 6, 18, 46]
• Q[2, 6, 18, 47]
• Q[2, 6, 23]
• Q[2, 6, 23, 32]
• Q[2, 6, 24]
• Q[2, 6, 24, 33]
• Q[2, 6, 32]
• Q[2, 6, 32, 41]
• Q[2, 6, 33]
• Q[2, 6, 37]
• Q[2, 6, 37, 44]
• Q[2, 6, 37, 46]
• Q[2, 6, 39]
• Q[2, 6, 39, 48]
• Q[2, 6, 40]
• Q[2, 6, 40, 48]
• Q[2, 6, 40, 49]
• Q[2, 6, 48]
• Q[2, 6, 49]
• Q[2, 7]
• Q[2, 7, 10]
• Q[2, 7, 10, 20]
• Q[2, 7, 10, 20, 40]
• Q[2, 7, 10, 20, 42]
• Q[2, 7, 20]
• Q[2, 7, 20, 30]
• Q[2, 7, 26]
• Q[2, 7, 26, 36]
• Q[2, 7, 36]
• Q[2, 7, 36, 46]
• Q[2, 7, 46]
• Q[2, 10]
• Q[2, 10, 13]
• Q[2, 10, 13, 26]
• Q[2, 10, 13, 50]
• Q[2, 10, 26]
• Q[2, 10, 26, 37]
• Q[2, 10, 26, 39]
• Q[2, 10, 26, 40]
• Q[2, 10, 27]
• Q[2, 10, 27, 36]
• Q[2, 10, 27, 38]
• Q[2, 10, 37]
• Q[2, 10, 50]
• Q[2, 13]
• Q[2, 13, 16]
• Q[2, 13, 16, 32]
• Q[2, 13, 32]
• Q[2, 13, 32, 46]
• Q[2, 13, 32, 48]
• Q[2, 13, 46]
• Q[2, 14]
• Q[2, 14, 16]
• Q[2, 14, 16, 32]
• Q[2, 14, 17]
• Q[2, 14, 17, 32]
• Q[2, 14, 33]
• Q[2, 14, 33, 50]
• Q[2, 14, 34]
• Q[2, 14, 46]
• Q[2, 16]
• Q[2, 16, 19]
• Q[2, 16, 19, 38]
• Q[2, 16, 20]
• Q[2, 16, 20, 38]
• Q[2, 16, 20, 39]
• Q[2, 16, 20, 40]
• Q[2, 16, 36]
• Q[2, 16, 37]
• Q[2, 16, 38]
• Q[2, 16, 39]
• Q[2, 17]
• Q[2, 17, 20]
• Q[2, 17, 20, 40]
• Q[2, 17, 40]
• Q[2, 20]
• Q[2, 20, 23]
• Q[2, 20, 23, 46]
• Q[2, 20, 24]
• Q[2, 20, 24, 46]
• Q[2, 20, 24, 47]
• Q[2, 20, 24, 48]
• Q[2, 20, 46]
• Q[2, 20, 47]
• Q[2, 23]
• Q[2, 23, 26]
• Q[2, 26]
• Q[2, 26, 29]
• Q[2, 27]
• Q[2, 27, 30]
• Q[2, 29]
• Q[2, 29, 32]
• Q[2, 30]
• Q[2, 30, 33]
• Q[2, 33]
• Q[2, 33, 36]
• Q[2, 36]
• Q[2, 36, 39]
• Q[2, 36, 40]
• Q[2, 37]
• Q[2, 37, 40]
• Q[2, 39]
• Q[2, 39, 42]
• Q[2, 40]
• Q[2, 40, 43]
• Q[2, 40, 44]
• Q[2, 43]
• Q[2, 43, 46]
• Q[2, 46]
• Q[2, 46, 49]
• Q[2, 47]
• Q[2, 47, 48]
• Q[2, 49]
• Q[2, 50]

Base Polynomial Order 3

Maximal search order: 50
Maximal recursion depth: 5

• Q[3]
• Q[3, 4]
• Q[3, 4, 8]
• Q[3, 4, 8, 16]
• Q[3, 4, 8, 16, 30]
• Q[3, 4, 8, 16, 32]
• Q[3, 4, 8, 30]
• Q[3, 4, 8, 30, 46]
• Q[3, 4, 14]
• Q[3, 4, 14, 22]
• Q[3, 4, 14, 22, 44]
• Q[3, 4, 14, 42]
• Q[3, 4, 14, 44]
• Q[3, 4, 22]
• Q[3, 4, 22, 30]
• Q[3, 4, 36]
• Q[3, 4, 36, 44]
• Q[3, 4, 44]
• Q[3, 4, 48]
• Q[3, 8]
• Q[3, 8, 10]
• Q[3, 8, 10, 20]
• Q[3, 8, 10, 20, 42]
• Q[3, 8, 10, 20, 44]
• Q[3, 8, 10, 42]
• Q[3, 8, 12]
• Q[3, 8, 12, 20]
• Q[3, 8, 12, 20, 42]
• Q[3, 8, 12, 44]
• Q[3, 8, 22]
• Q[3, 8, 22, 34]
• Q[3, 8, 24]
• Q[3, 8, 24, 32]
• Q[3, 8, 24, 34]
• Q[3, 8, 32]
• Q[3, 8, 32, 44]
• Q[3, 8, 44]
• Q[3, 8, 46]
• Q[3, 10]
• Q[3, 10, 14]
• Q[3, 10, 14, 26]
• Q[3, 10, 14, 28]
• Q[3, 10, 26]
• Q[3, 10, 26, 40]
• Q[3, 10, 28]
• Q[3, 10, 28, 40]
• Q[3, 14]
• Q[3, 14, 18]
• Q[3, 14, 18, 36]
• Q[3, 14, 36]
• Q[3, 18]
• Q[3, 18, 22]
• Q[3, 18, 22, 44]
• Q[3, 18, 44]
• Q[3, 22]
• Q[3, 22, 26]
• Q[3, 22, 50]
• Q[3, 28]
• Q[3, 28, 32]
• Q[3, 32]
• Q[3, 32, 36]
• Q[3, 36]
• Q[3, 36, 40]
• Q[3, 40]
• Q[3, 40, 42]
• Q[3, 40, 44]
• Q[3, 42]
• Q[3, 42, 46]
• Q[3, 46]
• Q[3, 46, 50]
• Q[3, 50]

Base Polynomial Order 4

Maximal search order: 50
Maximal recursion depth: 5

• Q[4]
• Q[4, 5]
• Q[4, 5, 10]
• Q[4, 5, 10, 20]
• Q[4, 5, 10, 20, 38]
• Q[4, 5, 10, 20, 40]
• Q[4, 5, 10, 38]
• Q[4, 5, 18]
• Q[4, 5, 18, 28]
• Q[4, 5, 28]
• Q[4, 5, 28, 38]
• Q[4, 5, 46]
• Q[4, 8]
• Q[4, 8, 9]
• Q[4, 8, 9, 18]
• Q[4, 8, 9, 18, 34]
• Q[4, 8, 9, 18, 38]
• Q[4, 8, 9, 32]
• Q[4, 8, 12]
• Q[4, 8, 12, 23]
• Q[4, 8, 12, 39]
• Q[4, 8, 23]
• Q[4, 8, 30]
• Q[4, 8, 30, 41]
• Q[4, 8, 30, 43]
• Q[4, 8, 30, 44]
• Q[4, 8, 41]
• Q[4, 8, 42]
• Q[4, 8, 43]
• Q[4, 10]
• Q[4, 10, 13]
• Q[4, 10, 15]
• Q[4, 10, 15, 26]
• Q[4, 10, 16]
• Q[4, 10, 16, 25]
• Q[4, 10, 16, 26]
• Q[4, 10, 28]
• Q[4, 10, 28, 43]
• Q[4, 10, 28, 44]
• Q[4, 10, 29]
• Q[4, 10, 30]
• Q[4, 10, 30, 41]
• Q[4, 10, 30, 43]
• Q[4, 10, 31]
• Q[4, 10, 31, 40]
• Q[4, 10, 31, 42]
• Q[4, 10, 41]
• Q[4, 11]
• Q[4, 11, 12]
• Q[4, 11, 14]
• Q[4, 11, 14, 26]
• Q[4, 11, 28]
• Q[4, 11, 30]
• Q[4, 11, 30, 42]
• Q[4, 11, 40]
• Q[4, 11, 42]
• Q[4, 13]
• Q[4, 13, 18]
• Q[4, 13, 18, 36]
• Q[4, 13, 36]
• Q[4, 18]
• Q[4, 18, 23]
• Q[4, 18, 23, 46]
• Q[4, 18, 24]
• Q[4, 18, 24, 46]
• Q[4, 18, 24, 47]
• Q[4, 18, 24, 48]
• Q[4, 18, 46]
• Q[4, 18, 47]
• Q[4, 19]
• Q[4, 19, 24]
• Q[4, 19, 24, 46]
• Q[4, 19, 46]
• Q[4, 23]
• Q[4, 23, 28]
• Q[4, 28]
• Q[4, 28, 33]
• Q[4, 29]
• Q[4, 29, 32]
• Q[4, 29, 34]
• Q[4, 31]
• Q[4, 31, 36]
• Q[4, 36]
• Q[4, 36, 41]
• Q[4, 37]
• Q[4, 37, 42]
• Q[4, 38]
• Q[4, 38, 41]
• Q[4, 38, 42]
• Q[4, 41]
• Q[4, 41, 46]
• Q[4, 42]
• Q[4, 42, 46]
• Q[4, 42, 47]
• Q[4, 42, 48]
• Q[4, 46]
• Q[4, 47]
• Q[4, 47, 50]
• Q[4, 49]

Base Polynomial Order 5

Maximal search order: 50
Maximal recursion depth: 5

• Q[5]
• Q[5, 6]
• Q[5, 6, 12]
• Q[5, 6, 12, 24]
• Q[5, 6, 12, 24, 46]
• Q[5, 6, 12, 24, 48]
• Q[5, 6, 12, 46]
• Q[5, 6, 22]
• Q[5, 6, 22, 34]
• Q[5, 6, 34]
• Q[5, 6, 34, 46]
• Q[5, 6, 46]
• Q[5, 12]
• Q[5, 12, 16]
• Q[5, 12, 18]
• Q[5, 12, 18, 32]
• Q[5, 12, 34]
• Q[5, 12, 36]
• Q[5, 12, 36, 50]
• Q[5, 12, 38]
• Q[5, 12, 38, 50]
• Q[5, 12, 50]
• Q[5, 16]
• Q[5, 16, 22]
• Q[5, 16, 22, 44]
• Q[5, 16, 44]
• Q[5, 22]
• Q[5, 22, 28]
• Q[5, 28]
• Q[5, 28, 34]
• Q[5, 34]
• Q[5, 34, 40]
• Q[5, 44]
• Q[5, 44, 50]
• Q[5, 46]
• Q[5, 46, 50]
• Q[5, 50]

Base Polynomial Order 6

Maximal search order: 50
Maximal recursion depth: 5

• Q[6]
• Q[6, 7]
• Q[6, 7, 14]
• Q[6, 7, 14, 28]
• Q[6, 7, 14, 30]
• Q[6, 7, 26]
• Q[6, 7, 26, 40]
• Q[6, 7, 40]
• Q[6, 8]
• Q[6, 8, 14]
• Q[6, 8, 14, 29]
• Q[6, 8, 14, 30]
• Q[6, 8, 15]
• Q[6, 8, 15, 28]
• Q[6, 8, 25]
• Q[6, 8, 25, 28]
• Q[6, 8, 25, 38]
• Q[6, 8, 26]
• Q[6, 8, 26, 40]
• Q[6, 8, 26, 41]
• Q[6, 8, 27]
• Q[6, 8, 27, 40]
• Q[6, 8, 40]
• Q[6, 8, 41]
• Q[6, 8, 42]
• Q[6, 8, 49]
• Q[6, 14]
• Q[6, 14, 19]
• Q[6, 14, 20]
• Q[6, 14, 20, 37]
• Q[6, 14, 21]
• Q[6, 14, 21, 38]
• Q[6, 14, 40]
• Q[6, 14, 41]
• Q[6, 14, 42]
• Q[6, 14, 43]
• Q[6, 14, 44]
• Q[6, 15]
• Q[6, 15, 18]
• Q[6, 15, 20]
• Q[6, 15, 20, 38]
• Q[6, 15, 40]
• Q[6, 15, 42]
• Q[6, 19]
• Q[6, 19, 26]
• Q[6, 26]
• Q[6, 26, 33]
• Q[6, 27]
• Q[6, 27, 32]
• Q[6, 27, 34]
• Q[6, 33]
• Q[6, 33, 40]
• Q[6, 34]
• Q[6, 34, 40]
• Q[6, 34, 41]
• Q[6, 40]
• Q[6, 40, 47]
• Q[6, 40, 48]
• Q[6, 41]
• Q[6, 41, 46]
• Q[6, 41, 48]
• Q[6, 45]
• Q[6, 47]

Base Polynomial Order 7

Maximal search order: 50
Maximal recursion depth: 5

• Q[7]
• Q[7, 8]
• Q[7, 8, 16]
• Q[7, 8, 16, 32]
• Q[7, 8, 16, 34]
• Q[7, 8, 30]
• Q[7, 8, 30, 46]
• Q[7, 8, 46]
• Q[7, 16]
• Q[7, 16, 22]
• Q[7, 16, 22, 48]
• Q[7, 16, 24]
• Q[7, 16, 24, 44]
• Q[7, 16, 46]
• Q[7, 16, 48]
• Q[7, 16, 50]
• Q[7, 22]
• Q[7, 22, 30]
• Q[7, 30]
• Q[7, 30, 38]
• Q[7, 38]
• Q[7, 38, 46]
• Q[7, 46]

Base Polynomial Order 8

Maximal search order: 50
Maximal recursion depth: 5

• Q[8]
• Q[8, 9]
• Q[8, 9, 18]
• Q[8, 9, 18, 36]
• Q[8, 9, 18, 38]
• Q[8, 9, 34]
• Q[8, 18]
• Q[8, 18, 25]
• Q[8, 18, 27]
• Q[8, 18, 27, 50]
• Q[8, 18, 28]
• Q[8, 18, 28, 49]
• Q[8, 18, 28, 50]
• Q[8, 19]
• Q[8, 19, 24]
• Q[8, 19, 26]
• Q[8, 19, 26, 50]
• Q[8, 25]
• Q[8, 25, 34]
• Q[8, 34]
• Q[8, 34, 43]
• Q[8, 34, 44]
• Q[8, 35]
• Q[8, 43]

Base Polynomial Order 9

Maximal search order: 50
Maximal recursion depth: 5

• Q[9]
• Q[9, 10]
• Q[9, 10, 20]
• Q[9, 10, 20, 40]
• Q[9, 10, 20, 42]
• Q[9, 10, 38]
• Q[9, 20]
• Q[9, 20, 28]
• Q[9, 20, 30]
• Q[9, 28]
• Q[9, 28, 38]
• Q[9, 38]
• Q[9, 38, 48]
• Q[9, 48]

Base Polynomial Order 10

Maximal search order: 50
Maximal recursion depth: 5

• Q[10]
• Q[10, 11]
• Q[10, 11, 22]
• Q[10, 11, 22, 44]
• Q[10, 11, 22, 46]
• Q[10, 11, 42]
• Q[10, 12]
• Q[10, 12, 22]
• Q[10, 12, 22, 45]
• Q[10, 12, 22, 47]
• Q[10, 12, 22, 48]
• Q[10, 12, 23]
• Q[10, 12, 23, 44]
• Q[10, 12, 23, 48]
• Q[10, 12, 24]
• Q[10, 12, 24, 45]
• Q[10, 12, 24, 46]
• Q[10, 12, 24, 47]
• Q[10, 12, 24, 48]
• Q[10, 12, 41]
• Q[10, 12, 41, 44]
• Q[10, 12, 41, 48]
• Q[10, 12, 42]
• Q[10, 12, 43]
• Q[10, 22]
• Q[10, 22, 31]
• Q[10, 22, 32]
• Q[10, 22, 33]
• Q[10, 23]
• Q[10, 23, 30]
• Q[10, 23, 32]
• Q[10, 31]
• Q[10, 31, 42]
• Q[10, 42]
• Q[10, 43]

Base Polynomial Order 11

Maximal search order: 50
Maximal recursion depth: 5

• Q[11]
• Q[11, 12]
• Q[11, 12, 24]
• Q[11, 12, 24, 48]
• Q[11, 12, 24, 50]
• Q[11, 12, 46]
• Q[11, 24]
• Q[11, 24, 34]
• Q[11, 24, 36]
• Q[11, 34]
• Q[11, 34, 46]
• Q[11, 46]

Base Polynomial Order 12

Maximal search order: 50
Maximal recursion depth: 5

• Q[12]
• Q[12, 13]
• Q[12, 13, 26]
• Q[12, 13, 50]
• Q[12, 26]
• Q[12, 26, 37]
• Q[12, 26, 39]
• Q[12, 26, 40]
• Q[12, 27]
• Q[12, 27, 36]
• Q[12, 27, 38]
• Q[12, 37]
• Q[12, 37, 50]
• Q[12, 50]

Base Polynomial Order 13

Maximal search order: 50
Maximal recursion depth: 5

• Q[13]
• Q[13, 14]
• Q[13, 14, 28]
• Q[13, 28]
• Q[13, 28, 40]
• Q[13, 28, 42]
• Q[13, 40]

Base Polynomial Order 14

Maximal search order: 50
Maximal recursion depth: 5

• Q[14]
• Q[14, 15]
• Q[14, 15, 30]
• Q[14, 16]
• Q[14, 16, 30]
• Q[14, 16, 31]
• Q[14, 16, 32]
• Q[14, 30]
• Q[14, 30, 43]
• Q[14, 30, 44]
• Q[14, 30, 45]
• Q[14, 31]
• Q[14, 31, 42]
• Q[14, 31, 44]
• Q[14, 43]

Base Polynomial Order 15

Maximal search order: 50
Maximal recursion depth: 5

• Q[15]
• Q[15, 16]
• Q[15, 16, 32]
• Q[15, 32]
• Q[15, 32, 46]
• Q[15, 32, 48]
• Q[15, 46]

Base Polynomial Order 16

Maximal search order: 50
Maximal recursion depth: 5

• Q[16]
• Q[16, 17]
• Q[16, 17, 34]
• Q[16, 34]
• Q[16, 34, 49]
• Q[16, 35]
• Q[16, 35, 48]
• Q[16, 35, 50]
• Q[16, 49]

Base Polynomial Order 17

Maximal search order: 50
Maximal recursion depth: 5

• Q[17]
• Q[17, 18]
• Q[17, 18, 36]
• Q[17, 36]

Base Polynomial Order 18

Maximal search order: 50
Maximal recursion depth: 5

• Q[18]
• Q[18, 19]
• Q[18, 19, 38]
• Q[18, 20]
• Q[18, 20, 38]
• Q[18, 20, 39]
• Q[18, 20, 40]
• Q[18, 38]
• Q[18, 39]

Base Polynomial Order 19

Maximal search order: 50
Maximal recursion depth: 5

• Q[19]
• Q[19, 20]
• Q[19, 20, 40]
• Q[19, 40]

Base Polynomial Order 20

Maximal search order: 50
Maximal recursion depth: 5

• Q[20]
• Q[20, 21]
• Q[20, 21, 42]
• Q[20, 42]
• Q[20, 43]

Base Polynomial Order 21

Maximal search order: 50
Maximal recursion depth: 5

• Q[21]
• Q[21, 22]
• Q[21, 22, 44]
• Q[21, 44]

Base Polynomial Order 22

Maximal search order: 50
Maximal recursion depth: 5

• Q[22]
• Q[22, 23]
• Q[22, 23, 46]
• Q[22, 24]
• Q[22, 24, 46]
• Q[22, 24, 47]
• Q[22, 24, 48]
• Q[22, 46]
• Q[22, 47]

Base Polynomial Order 23

Maximal search order: 50
Maximal recursion depth: 5

• Q[23]
• Q[23, 24]
• Q[23, 24, 48]
• Q[23, 48]

Base Polynomial Order 24

Maximal search order: 50
Maximal recursion depth: 5

• Q[24]
• Q[24, 25]
• Q[24, 25, 50]
• Q[24, 50]

Base Polynomial Order 25

Maximal search order: 50
Maximal recursion depth: 5

• Q[25]
• Q[25, 26]

Base Polynomial Order 26

Maximal search order: 50
Maximal recursion depth: 5

• Q[26]
• Q[26, 27]
• Q[26, 28]

Base Polynomial Order 27

Maximal search order: 50
Maximal recursion depth: 5

• Q[27]
• Q[27, 28]

Base Polynomial Order 28

Maximal search order: 50
Maximal recursion depth: 5

• Q[28]
• Q[28, 29]

Base Polynomial Order 29

Maximal search order: 50
Maximal recursion depth: 5

• Q[29]
• Q[29, 30]

Base Polynomial Order 30

Maximal search order: 50
Maximal recursion depth: 5

• Q[30]
• Q[30, 31]
• Q[30, 32]

Base Polynomial Order 31

Maximal search order: 50
Maximal recursion depth: 5

• Q[31]
• Q[31, 32]

Base Polynomial Order 32

Maximal search order: 50
Maximal recursion depth: 5

• Q[32]
• Q[32, 33]

Base Polynomial Order 33

Maximal search order: 50
Maximal recursion depth: 5

• Q[33]
• Q[33, 34]

Base Polynomial Order 34

Maximal search order: 50
Maximal recursion depth: 5

• Q[34]
• Q[34, 35]
• Q[34, 36]

Base Polynomial Order 35

Maximal search order: 50
Maximal recursion depth: 5

• Q[35]
• Q[35, 36]

Base Polynomial Order 36

Maximal search order: 50
Maximal recursion depth: 5

• Q[36]
• Q[36, 37]

Base Polynomial Order 37

Maximal search order: 50
Maximal recursion depth: 5

• Q[37]
• Q[37, 38]

Base Polynomial Order 38

Maximal search order: 50
Maximal recursion depth: 5

• Q[38]
• Q[38, 39]
• Q[38, 40]

Base Polynomial Order 39

Maximal search order: 50
Maximal recursion depth: 5

• Q[39]
• Q[39, 40]

Base Polynomial Order 40

Maximal search order: 50
Maximal recursion depth: 5

• Q[40]
• Q[40, 41]

Base Polynomial Order 41

Maximal search order: 50
Maximal recursion depth: 5

• Q[41]
• Q[41, 42]

Base Polynomial Order 42

Maximal search order: 50
Maximal recursion depth: 5

• Q[42]
• Q[42, 43]
• Q[42, 44]

Base Polynomial Order 43

Maximal search order: 50
Maximal recursion depth: 5

• Q[43]
• Q[43, 44]

Base Polynomial Order 44

Maximal search order: 50
Maximal recursion depth: 5

• Q[44]
• Q[44, 45]

Base Polynomial Order 45

Maximal search order: 50
Maximal recursion depth: 5

• Q[45]
• Q[45, 46]

Base Polynomial Order 46

Maximal search order: 50
Maximal recursion depth: 5

• Q[46]
• Q[46, 47]
• Q[46, 48]

Base Polynomial Order 47

Maximal search order: 50
Maximal recursion depth: 5

• Q[47]
• Q[47, 48]

Base Polynomial Order 48

Maximal search order: 50
Maximal recursion depth: 5

• Q[48]
• Q[48, 49]

Base Polynomial Order 49

Maximal search order: 50
Maximal recursion depth: 5

• Q[49]
• Q[49, 50]

Base Polynomial Order 50

Maximal search order: 50
Maximal recursion depth: 5

• Q[50]