This page contains the output of testsuite/point/bspacetables2.cc. Each left-most column contains all elements of the field F2m that is not part of a proper subfield (that is, the smallest positive k such that x2k = x is k = m), also known as Frobenius equivalence classes of size m. Note that the phrase "Frobenius equivalence class" is an invention of myself— you might not find it in literature [ It turns out that in existing literature one speaks preferably about Lyndon words if length m. ]
Elements in the same Frobenius equivalence class have the same color. Each element appears twice: in the left-most column and in the column containing the inverses. Also this column is colored, using the same color for the same element.
A few tables with m a multiple of 4, only showing the entries with m/d = 4.
| F24, t4+t+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 15/GCD(n, 15) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g1 | = | t | 15 | g14 | = | t3+1 | 0 | 1 | 4 |
| g2 | = | t2 | 15 | g13 | = | t3+t2+1 | 0 | 1 | 4 |
| g3 | = | t3 | 5 | g12 | = | t3+t2+t+1 | 1 | 1 | 4 |
| g4 | = | t+1 | 15 | g11 | = | t3+t2+t | 0 | 1 | 4 |
| g6 | = | t3+t2 | 5 | g9 | = | t3+t | 1 | 1 | 4 |
| g7 | = | t3+t+1 | 15 | g8 | = | t2+1 | 1 | 0 | 4 |
| g8 | = | t2+1 | 15 | g7 | = | t3+t+1 | 0 | 1 | 4 |
| g9 | = | t3+t | 5 | g6 | = | t3+t2 | 1 | 1 | 4 |
| g11 | = | t3+t2+t | 15 | g4 | = | t+1 | 1 | 0 | 4 |
| g12 | = | t3+t2+t+1 | 5 | g3 | = | t3 | 1 | 1 | 4 |
| g13 | = | t3+t2+1 | 15 | g2 | = | t2 | 1 | 0 | 4 |
| g14 | = | t3+1 | 15 | g1 | = | t | 1 | 0 | 4 |
| F28, t8+t4+t3+t+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 255/GCD(n, 255) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g17 | = | t7+t6+t5+1 | 15 | g238 | = | t3+t2+1 | 0 | 0 | 4 |
| g34 | = | t6+t4+t3+t2 | 15 | g221 | = | t6+t4+1 | 0 | 0 | 4 |
| g51 | = | t3+t2 | 5 | g204 | = | t7+t5+t4 | 0 | 0 | 4 |
| g68 | = | t7+t6+t5 | 15 | g187 | = | t7+t5+t4+1 | 0 | 0 | 4 |
| g102 | = | t6+t4 | 5 | g153 | = | t7+t6+t5+t3+t2+1 | 0 | 0 | 4 |
| g119 | = | t7+t6+t5+t3+t2 | 15 | g136 | = | t6+t4+t3+t2+1 | 0 | 0 | 4 |
| g136 | = | t6+t4+t3+t2+1 | 15 | g119 | = | t7+t6+t5+t3+t2 | 0 | 0 | 4 |
| g153 | = | t7+t6+t5+t3+t2+1 | 5 | g102 | = | t6+t4 | 0 | 0 | 4 |
| g187 | = | t7+t5+t4+1 | 15 | g68 | = | t7+t6+t5 | 0 | 0 | 4 |
| g204 | = | t7+t5+t4 | 5 | g51 | = | t3+t2 | 0 | 0 | 4 |
| g221 | = | t6+t4+1 | 15 | g34 | = | t6+t4+t3+t2 | 0 | 0 | 4 |
| g238 | = | t3+t2+1 | 15 | g17 | = | t7+t6+t5+1 | 0 | 0 | 4 |
| F212, t12+t3+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 4095/GCD(n, 4095) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g273 | = | t3+1 | 15 | g3822 | = | t9+t6+t3 | 0 | 1 | 4 |
| g546 | = | t6+1 | 15 | g3549 | = | t9+t3+1 | 0 | 1 | 4 |
| g819 | = | t9+t6+t3+1 | 5 | g3276 | = | t9 | 1 | 1 | 4 |
| g1092 | = | t3 | 15 | g3003 | = | t9+1 | 0 | 1 | 4 |
| g1638 | = | t9+t3 | 5 | g2457 | = | t9+t6 | 1 | 1 | 4 |
| g1911 | = | t9+t6+1 | 15 | g2184 | = | t6 | 1 | 0 | 4 |
| g2184 | = | t6 | 15 | g1911 | = | t9+t6+1 | 0 | 1 | 4 |
| g2457 | = | t9+t6 | 5 | g1638 | = | t9+t3 | 1 | 1 | 4 |
| g3003 | = | t9+1 | 15 | g1092 | = | t3 | 1 | 0 | 4 |
| g3276 | = | t9 | 5 | g819 | = | t9+t6+t3+1 | 1 | 1 | 4 |
| g3549 | = | t9+t3+1 | 15 | g546 | = | t6+1 | 1 | 0 | 4 |
| g3822 | = | t9+t6+t3 | 15 | g273 | = | t3+1 | 1 | 0 | 4 |
| F216, t16+t5+t3+t+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 65535/GCD(n, 65535) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g4369 | = | t15+t11+t10+t9+t8+t7+t4+t3+t2+t+1 | 15 | g61166 | = | t15+t13+t7+t5+t4+t2+t | 0 | 0 | 4 |
| g8738 | = | t15+t11+t7+t5+t3+t2 | 15 | g56797 | = | t13+t11+t4+t3+t | 0 | 0 | 4 |
| g13107 | = | t15+t13+t7+t5+t4+t2+t+1 | 5 | g52428 | = | t15+t13+t10+t9+t8+t7+t2+1 | 0 | 0 | 4 |
| g17476 | = | t15+t11+t10+t9+t8+t7+t4+t3+t2+t | 15 | g48059 | = | t15+t13+t10+t9+t8+t7+t2 | 0 | 0 | 4 |
| g26214 | = | t13+t11+t4+t3+t+1 | 5 | g39321 | = | t13+t11+t10+t9+t8+t5+t3 | 0 | 0 | 4 |
| g30583 | = | t13+t11+t10+t9+t8+t5+t3+1 | 15 | g34952 | = | t15+t11+t7+t5+t3+t2+1 | 0 | 0 | 4 |
| g34952 | = | t15+t11+t7+t5+t3+t2+1 | 15 | g30583 | = | t13+t11+t10+t9+t8+t5+t3+1 | 0 | 0 | 4 |
| g39321 | = | t13+t11+t10+t9+t8+t5+t3 | 5 | g26214 | = | t13+t11+t4+t3+t+1 | 0 | 0 | 4 |
| g48059 | = | t15+t13+t10+t9+t8+t7+t2 | 15 | g17476 | = | t15+t11+t10+t9+t8+t7+t4+t3+t2+t | 0 | 0 | 4 |
| g52428 | = | t15+t13+t10+t9+t8+t7+t2+1 | 5 | g13107 | = | t15+t13+t7+t5+t4+t2+t+1 | 0 | 0 | 4 |
| g56797 | = | t13+t11+t4+t3+t | 15 | g8738 | = | t15+t11+t7+t5+t3+t2 | 0 | 0 | 4 |
| g61166 | = | t15+t13+t7+t5+t4+t2+t | 15 | g4369 | = | t15+t11+t10+t9+t8+t7+t4+t3+t2+t+1 | 0 | 0 | 4 |
And a few tables with m a multiple of 5, only showing the entries with m/d = 5.
| F25, t5+t2+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 31/GCD(n, 31) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g1 | = | t | 31 | g30 | = | t4+t | 0 | 0 | 5 |
| g2 | = | t2 | 31 | g29 | = | t3+1 | 0 | 0 | 5 |
| g3 | = | t3 | 31 | g28 | = | t4+t2+t | 1 | 0 | 5 |
| g4 | = | t4 | 31 | g27 | = | t3+t+1 | 0 | 0 | 5 |
| g5 | = | t2+1 | 31 | g26 | = | t4+t2+t+1 | 1 | 1 | 5 |
| g6 | = | t3+t | 31 | g25 | = | t4+t3+1 | 1 | 0 | 5 |
| g7 | = | t4+t2 | 31 | g24 | = | t4+t3+t2+t | 0 | 1 | 5 |
| g8 | = | t3+t2+1 | 31 | g23 | = | t3+t2+t+1 | 0 | 0 | 5 |
| g9 | = | t4+t3+t | 31 | g22 | = | t4+t2+1 | 1 | 1 | 5 |
| g10 | = | t4+1 | 31 | g21 | = | t4+t3 | 1 | 1 | 5 |
| g11 | = | t2+t+1 | 31 | g20 | = | t3+t2 | 1 | 1 | 5 |
| g12 | = | t3+t2+t | 31 | g19 | = | t2+t | 1 | 0 | 5 |
| g13 | = | t4+t3+t2 | 31 | g18 | = | t+1 | 1 | 1 | 5 |
| g14 | = | t4+t3+t2+1 | 31 | g17 | = | t4+t+1 | 0 | 1 | 5 |
| g15 | = | t4+t3+t2+t+1 | 31 | g16 | = | t4+t3+t+1 | 0 | 0 | 5 |
| g16 | = | t4+t3+t+1 | 31 | g15 | = | t4+t3+t2+t+1 | 0 | 0 | 5 |
| g17 | = | t4+t+1 | 31 | g14 | = | t4+t3+t2+1 | 1 | 0 | 5 |
| g18 | = | t+1 | 31 | g13 | = | t4+t3+t2 | 1 | 1 | 5 |
| g19 | = | t2+t | 31 | g12 | = | t3+t2+t | 0 | 1 | 5 |
| g20 | = | t3+t2 | 31 | g11 | = | t2+t+1 | 1 | 1 | 5 |
| g21 | = | t4+t3 | 31 | g10 | = | t4+1 | 1 | 1 | 5 |
| g22 | = | t4+t2+1 | 31 | g9 | = | t4+t3+t | 1 | 1 | 5 |
| g23 | = | t3+t2+t+1 | 31 | g8 | = | t3+t2+1 | 0 | 0 | 5 |
| g24 | = | t4+t3+t2+t | 31 | g7 | = | t4+t2 | 1 | 0 | 5 |
| g25 | = | t4+t3+1 | 31 | g6 | = | t3+t | 0 | 1 | 5 |
| g26 | = | t4+t2+t+1 | 31 | g5 | = | t2+1 | 1 | 1 | 5 |
| g27 | = | t3+t+1 | 31 | g4 | = | t4 | 0 | 0 | 5 |
| g28 | = | t4+t2+t | 31 | g3 | = | t3 | 0 | 1 | 5 |
| g29 | = | t3+1 | 31 | g2 | = | t2 | 0 | 0 | 5 |
| g30 | = | t4+t | 31 | g1 | = | t | 0 | 0 | 5 |
| F210, t10+t3+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 1023/GCD(n, 1023) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g33 | = | t9+t6+t5+t3+t2 | 31 | g990 | = | t9+t5+t4+t2+t+1 | 0 | 0 | 5 |
| g66 | = | t8+t6+t5+t3+t2+t+1 | 31 | g957 | = | t3+t2+t | 0 | 0 | 5 |
| g99 | = | t9+t8+t3+t2 | 31 | g924 | = | t8+t5+t4+t2+1 | 0 | 0 | 5 |
| g132 | = | t9+t5+t4+t3 | 31 | g891 | = | t6+t4+t2 | 0 | 0 | 5 |
| g165 | = | t6+t4+t3+t | 31 | g858 | = | t9+t8+t3+t2+1 | 0 | 0 | 5 |
| g198 | = | t9+t8+t | 31 | g825 | = | t9+t8+t6+t4+t3 | 0 | 0 | 5 |
| g231 | = | t3+t2+t+1 | 31 | g792 | = | t9+t6+t5+t | 0 | 0 | 5 |
| g264 | = | t6+t4+t3+t+1 | 31 | g759 | = | t8+t5+t4+t2 | 0 | 0 | 5 |
| g297 | = | t8+t6+t5+t3+t2+t | 31 | g726 | = | t9+t6+t5+t+1 | 0 | 0 | 5 |
| g330 | = | t8+t6+t5 | 31 | g693 | = | t9+t8+t+1 | 0 | 0 | 5 |
| g363 | = | t9+t8+t6+t4+t2+t+1 | 31 | g660 | = | t9+t6+t5+t3+t2+1 | 0 | 0 | 5 |
| g396 | = | t9+t8+t6+t4+t2+t | 31 | g627 | = | t9+t5+t4+t2+t | 0 | 0 | 5 |
| g429 | = | t8+t5+t4+t3+t | 31 | g594 | = | t9+t5+t4+t3+1 | 0 | 0 | 5 |
| g462 | = | t6+t4+t2+1 | 31 | g561 | = | t8+t5+t4+t3+t+1 | 0 | 0 | 5 |
| g495 | = | t9+t8+t6+t4+t3+1 | 31 | g528 | = | t8+t6+t5+1 | 0 | 0 | 5 |
| g528 | = | t8+t6+t5+1 | 31 | g495 | = | t9+t8+t6+t4+t3+1 | 0 | 0 | 5 |
| g561 | = | t8+t5+t4+t3+t+1 | 31 | g462 | = | t6+t4+t2+1 | 0 | 0 | 5 |
| g594 | = | t9+t5+t4+t3+1 | 31 | g429 | = | t8+t5+t4+t3+t | 0 | 0 | 5 |
| g627 | = | t9+t5+t4+t2+t | 31 | g396 | = | t9+t8+t6+t4+t2+t | 0 | 0 | 5 |
| g660 | = | t9+t6+t5+t3+t2+1 | 31 | g363 | = | t9+t8+t6+t4+t2+t+1 | 0 | 0 | 5 |
| g693 | = | t9+t8+t+1 | 31 | g330 | = | t8+t6+t5 | 0 | 0 | 5 |
| g726 | = | t9+t6+t5+t+1 | 31 | g297 | = | t8+t6+t5+t3+t2+t | 0 | 0 | 5 |
| g759 | = | t8+t5+t4+t2 | 31 | g264 | = | t6+t4+t3+t+1 | 0 | 0 | 5 |
| g792 | = | t9+t6+t5+t | 31 | g231 | = | t3+t2+t+1 | 0 | 0 | 5 |
| g825 | = | t9+t8+t6+t4+t3 | 31 | g198 | = | t9+t8+t | 0 | 0 | 5 |
| g858 | = | t9+t8+t3+t2+1 | 31 | g165 | = | t6+t4+t3+t | 0 | 0 | 5 |
| g891 | = | t6+t4+t2 | 31 | g132 | = | t9+t5+t4+t3 | 0 | 0 | 5 |
| g924 | = | t8+t5+t4+t2+1 | 31 | g99 | = | t9+t8+t3+t2 | 0 | 0 | 5 |
| g957 | = | t3+t2+t | 31 | g66 | = | t8+t6+t5+t3+t2+t+1 | 0 | 0 | 5 |
| g990 | = | t9+t5+t4+t2+t+1 | 31 | g33 | = | t9+t6+t5+t3+t2 | 0 | 0 | 5 |
| F215, t15+t+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 32767/GCD(n, 32767) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g1057 | = | t9+t6+t5+t4 | 31 | g31710 | = | t12+t6+t3+t2+t+1 | 0 | 1 | 5 |
| g2114 | = | t12+t10+t8+t4+t3 | 31 | g30653 | = | t12+t10+t9+t6+t4+t2+1 | 0 | 1 | 5 |
| g3171 | = | t10+t6+t5+t3+t+1 | 31 | g29596 | = | t12+t9+t8+t+1 | 1 | 1 | 5 |
| g4228 | = | t10+t9+t8+t5+t2+t | 31 | g28539 | = | t12+t10+t9+t8+t6+t5+t3+1 | 0 | 1 | 5 |
| g5285 | = | t12+t9+t8+t | 31 | g27482 | = | t12+t9+t5+t4+t3+t2+t | 0 | 0 | 5 |
| g6342 | = | t12+t10+t5+t2+1 | 31 | g26425 | = | t10+t9+t4+t3+t+1 | 1 | 1 | 5 |
| g7399 | = | t10+t8+t6+t4+t2+t+1 | 31 | g25368 | = | t12+t10+t8+t4+t3+1 | 1 | 1 | 5 |
| g8456 | = | t10+t6+t5+t3+t | 31 | g24311 | = | t12+t9+t5+t4+t3+t2+t+1 | 0 | 1 | 5 |
| g9513 | = | t10+t8+t6+t4+t2+t | 31 | g23254 | = | t12+t10+t9+t6+t4+t2 | 0 | 0 | 5 |
| g10570 | = | t10+t9+t4+t3+t | 31 | g22197 | = | t9+t8+t6+t3+t2 | 0 | 0 | 5 |
| g11627 | = | t12+t6+t3+t2+t | 31 | g21140 | = | t8+t5+t4+t3+t2 | 0 | 0 | 5 |
| g12684 | = | t9+t6+t5+t4+1 | 31 | g20083 | = | t8+t5+t4+t3+t2+1 | 1 | 1 | 5 |
| g13741 | = | t12+t10+t9+t8+t6+t5+t3 | 31 | g19026 | = | t12+t8+t6+t5+t4+t | 0 | 0 | 5 |
| g14798 | = | t12+t8+t6+t5+t4+t+1 | 31 | g17969 | = | t10+t9+t8+t5+t2+t+1 | 1 | 1 | 5 |
| g15855 | = | t9+t8+t6+t3+t2+1 | 31 | g16912 | = | t12+t10+t5+t2 | 1 | 0 | 5 |
| g16912 | = | t12+t10+t5+t2 | 31 | g15855 | = | t9+t8+t6+t3+t2+1 | 0 | 1 | 5 |
| g17969 | = | t10+t9+t8+t5+t2+t+1 | 31 | g14798 | = | t12+t8+t6+t5+t4+t+1 | 1 | 1 | 5 |
| g19026 | = | t12+t8+t6+t5+t4+t | 31 | g13741 | = | t12+t10+t9+t8+t6+t5+t3 | 0 | 0 | 5 |
| g20083 | = | t8+t5+t4+t3+t2+1 | 31 | g12684 | = | t9+t6+t5+t4+1 | 1 | 1 | 5 |
| g21140 | = | t8+t5+t4+t3+t2 | 31 | g11627 | = | t12+t6+t3+t2+t | 0 | 0 | 5 |
| g22197 | = | t9+t8+t6+t3+t2 | 31 | g10570 | = | t10+t9+t4+t3+t | 0 | 0 | 5 |
| g23254 | = | t12+t10+t9+t6+t4+t2 | 31 | g9513 | = | t10+t8+t6+t4+t2+t | 0 | 0 | 5 |
| g24311 | = | t12+t9+t5+t4+t3+t2+t+1 | 31 | g8456 | = | t10+t6+t5+t3+t | 1 | 0 | 5 |
| g25368 | = | t12+t10+t8+t4+t3+1 | 31 | g7399 | = | t10+t8+t6+t4+t2+t+1 | 1 | 1 | 5 |
| g26425 | = | t10+t9+t4+t3+t+1 | 31 | g6342 | = | t12+t10+t5+t2+1 | 1 | 1 | 5 |
| g27482 | = | t12+t9+t5+t4+t3+t2+t | 31 | g5285 | = | t12+t9+t8+t | 0 | 0 | 5 |
| g28539 | = | t12+t10+t9+t8+t6+t5+t3+1 | 31 | g4228 | = | t10+t9+t8+t5+t2+t | 1 | 0 | 5 |
| g29596 | = | t12+t9+t8+t+1 | 31 | g3171 | = | t10+t6+t5+t3+t+1 | 1 | 1 | 5 |
| g30653 | = | t12+t10+t9+t6+t4+t2+1 | 31 | g2114 | = | t12+t10+t8+t4+t3 | 1 | 0 | 5 |
| g31710 | = | t12+t6+t3+t2+t+1 | 31 | g1057 | = | t9+t6+t5+t4 | 1 | 0 | 5 |
| F220, t20+t3+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 1048575/GCD(n, 1048575) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g33825 | = | t16+t15+t14+t13+t10+t9+t5+t4+t3+1 | 31 | g1014750 | = | t19+t18+t15+t14+t7+t3+t2+1 | 0 | 0 | 5 |
| g67650 | = | t18+t15+t13+t12+t11+t9+t3 | 31 | g980925 | = | t19+t18+t16+t14+t13+t11+t10+t8+t6+t+1 | 0 | 0 | 5 |
| g101475 | = | t19+t18+t16+t14+t13+t11+t10+t8+t6+t | 31 | g947100 | = | t19+t14+t13+t12+t11+t9+t7+t2+1 | 0 | 0 | 5 |
| g135300 | = | t19+t18+t16+t13+t10+t9+t7+t5+t4+t2 | 31 | g913275 | = | t19+t18+t15+t11+t9+t8+t6+t5+t4+t3+t | 0 | 0 | 5 |
| g169125 | = | t18+t15+t13+t12+t11+t9+t3+1 | 31 | g879450 | = | t19+t14+t13+t12+t11+t9+t7+t2 | 0 | 0 | 5 |
| g202950 | = | t19+t18+t15+t11+t9+t8+t6+t5+t4+t3+t+1 | 31 | g845625 | = | t14+t11+t9+t8+t7+t6+t5+t4+t2+t+1 | 0 | 0 | 5 |
| g236775 | = | t19+t16+t15+t12+t11+t10+t7+t5+t4+t3+t2 | 31 | g811800 | = | t18+t16+t12+t10+t9+t8+t7+t6+t2+t+1 | 0 | 0 | 5 |
| g270600 | = | t19+t16+t15+t14+t12+t10+t9+t8+t6+t3+t+1 | 31 | g777975 | = | t19+t13+t12+t8+t6+t5+t4+t | 0 | 0 | 5 |
| g304425 | = | t16+t15+t13+t11+t10+t8+t7+t6+t3+t2+t+1 | 31 | g744150 | = | t19+t16+t15+t12+t11+t10+t7+t5+t4+t3+t2+1 | 0 | 0 | 5 |
| g338250 | = | t19+t18+t16+t13+t10+t9+t7+t5+t4+t2+1 | 31 | g710325 | = | t14+t11+t9+t8+t7+t6+t5+t4+t2+t | 0 | 0 | 5 |
| g372075 | = | t18+t16+t14+t12+t11+t10+t5+t4 | 31 | g676500 | = | t19+t16+t15+t14+t12+t10+t9+t8+t6+t3+t | 0 | 0 | 5 |
| g405900 | = | t19+t13+t12+t8+t6+t5+t4+t+1 | 31 | g642675 | = | t18+t16+t14+t12+t11+t10+t5+t4+1 | 0 | 0 | 5 |
| g439725 | = | t18+t15+t14+t13+t12+t8+t7+t6+t5+t4+t3+t2+t | 31 | g608850 | = | t16+t15+t14+t13+t10+t9+t5+t4+t3 | 0 | 0 | 5 |
| g473550 | = | t18+t15+t14+t13+t12+t8+t7+t6+t5+t4+t3+t2+t+1 | 31 | g575025 | = | t19+t18+t15+t14+t7+t3+t2 | 0 | 0 | 5 |
| g507375 | = | t18+t16+t12+t10+t9+t8+t7+t6+t2+t | 31 | g541200 | = | t16+t15+t13+t11+t10+t8+t7+t6+t3+t2+t | 0 | 0 | 5 |
| g541200 | = | t16+t15+t13+t11+t10+t8+t7+t6+t3+t2+t | 31 | g507375 | = | t18+t16+t12+t10+t9+t8+t7+t6+t2+t | 0 | 0 | 5 |
| g575025 | = | t19+t18+t15+t14+t7+t3+t2 | 31 | g473550 | = | t18+t15+t14+t13+t12+t8+t7+t6+t5+t4+t3+t2+t+1 | 0 | 0 | 5 |
| g608850 | = | t16+t15+t14+t13+t10+t9+t5+t4+t3 | 31 | g439725 | = | t18+t15+t14+t13+t12+t8+t7+t6+t5+t4+t3+t2+t | 0 | 0 | 5 |
| g642675 | = | t18+t16+t14+t12+t11+t10+t5+t4+1 | 31 | g405900 | = | t19+t13+t12+t8+t6+t5+t4+t+1 | 0 | 0 | 5 |
| g676500 | = | t19+t16+t15+t14+t12+t10+t9+t8+t6+t3+t | 31 | g372075 | = | t18+t16+t14+t12+t11+t10+t5+t4 | 0 | 0 | 5 |
| g710325 | = | t14+t11+t9+t8+t7+t6+t5+t4+t2+t | 31 | g338250 | = | t19+t18+t16+t13+t10+t9+t7+t5+t4+t2+1 | 0 | 0 | 5 |
| g744150 | = | t19+t16+t15+t12+t11+t10+t7+t5+t4+t3+t2+1 | 31 | g304425 | = | t16+t15+t13+t11+t10+t8+t7+t6+t3+t2+t+1 | 0 | 0 | 5 |
| g777975 | = | t19+t13+t12+t8+t6+t5+t4+t | 31 | g270600 | = | t19+t16+t15+t14+t12+t10+t9+t8+t6+t3+t+1 | 0 | 0 | 5 |
| g811800 | = | t18+t16+t12+t10+t9+t8+t7+t6+t2+t+1 | 31 | g236775 | = | t19+t16+t15+t12+t11+t10+t7+t5+t4+t3+t2 | 0 | 0 | 5 |
| g845625 | = | t14+t11+t9+t8+t7+t6+t5+t4+t2+t+1 | 31 | g202950 | = | t19+t18+t15+t11+t9+t8+t6+t5+t4+t3+t+1 | 0 | 0 | 5 |
| g879450 | = | t19+t14+t13+t12+t11+t9+t7+t2 | 31 | g169125 | = | t18+t15+t13+t12+t11+t9+t3+1 | 0 | 0 | 5 |
| g913275 | = | t19+t18+t15+t11+t9+t8+t6+t5+t4+t3+t | 31 | g135300 | = | t19+t18+t16+t13+t10+t9+t7+t5+t4+t2 | 0 | 0 | 5 |
| g947100 | = | t19+t14+t13+t12+t11+t9+t7+t2+1 | 31 | g101475 | = | t19+t18+t16+t14+t13+t11+t10+t8+t6+t | 0 | 0 | 5 |
| g980925 | = | t19+t18+t16+t14+t13+t11+t10+t8+t6+t+1 | 31 | g67650 | = | t18+t15+t13+t12+t11+t9+t3 | 0 | 0 | 5 |
| g1014750 | = | t19+t18+t15+t14+t7+t3+t2+1 | 31 | g33825 | = | t16+t15+t14+t13+t10+t9+t5+t4+t3+1 | 0 | 0 | 5 |
And a few tables with m a multiple of 6, only showing the entries with m/d = 6.
| F26, t6+t+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 63/GCD(n, 63) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g1 | = | t | 63 | g62 | = | t5+1 | 0 | 1 | 6 |
| g2 | = | t2 | 63 | g61 | = | t5+t4+1 | 0 | 1 | 6 |
| g3 | = | t3 | 21 | g60 | = | t5+t4+t3+1 | 0 | 1 | 6 |
| g4 | = | t4 | 63 | g59 | = | t5+t4+t3+t2+1 | 0 | 1 | 6 |
| g5 | = | t5 | 63 | g58 | = | t5+t4+t3+t2+t+1 | 1 | 1 | 6 |
| g6 | = | t+1 | 21 | g57 | = | t5+t4+t3+t2+t | 0 | 1 | 6 |
| g7 | = | t2+t | 9 | g56 | = | t4+t3+t2+t+1 | 0 | 0 | 6 |
| g8 | = | t3+t2 | 63 | g55 | = | t5+t3+t2+t | 0 | 1 | 6 |
| g10 | = | t5+t4 | 63 | g53 | = | t5+t3+t | 1 | 1 | 6 |
| g11 | = | t5+t+1 | 63 | g52 | = | t4+t2+1 | 1 | 0 | 6 |
| g12 | = | t2+1 | 21 | g51 | = | t5+t3+t+1 | 0 | 1 | 6 |
| g13 | = | t3+t | 63 | g50 | = | t5+t4+t2 | 0 | 1 | 6 |
| g14 | = | t4+t2 | 9 | g49 | = | t4+t3+t | 0 | 0 | 6 |
| g15 | = | t5+t3 | 21 | g48 | = | t3+t2+1 | 1 | 0 | 6 |
| g16 | = | t4+t+1 | 63 | g47 | = | t5+t2+t+1 | 0 | 1 | 6 |
| g17 | = | t5+t2+t | 63 | g46 | = | t5+t4+t | 1 | 1 | 6 |
| g19 | = | t4+t3+t2+t | 63 | g44 | = | t5+t3+t2+1 | 0 | 1 | 6 |
| g20 | = | t5+t4+t3+t2 | 63 | g43 | = | t5+t4+t2+t+1 | 1 | 1 | 6 |
| g22 | = | t5+t4+t2+1 | 63 | g41 | = | t4+t3+t2+1 | 1 | 0 | 6 |
| g23 | = | t5+t3+1 | 63 | g40 | = | t5+t3+t2+t+1 | 1 | 1 | 6 |
| g24 | = | t4+1 | 21 | g39 | = | t5+t4+t2+t | 0 | 1 | 6 |
| g25 | = | t5+t | 63 | g38 | = | t4+t3+t+1 | 1 | 0 | 6 |
| g26 | = | t2+t+1 | 63 | g37 | = | t5+t3+t2 | 0 | 1 | 6 |
| g28 | = | t4+t3+t2 | 9 | g35 | = | t3+t+1 | 0 | 0 | 6 |
| g29 | = | t5+t4+t3 | 63 | g34 | = | t5+t2 | 1 | 1 | 6 |
| g30 | = | t5+t4+t+1 | 21 | g33 | = | t4+t | 1 | 0 | 6 |
| g31 | = | t5+t2+1 | 63 | g32 | = | t3+1 | 1 | 0 | 6 |
| g32 | = | t3+1 | 63 | g31 | = | t5+t2+1 | 0 | 1 | 6 |
| g33 | = | t4+t | 21 | g30 | = | t5+t4+t+1 | 0 | 1 | 6 |
| g34 | = | t5+t2 | 63 | g29 | = | t5+t4+t3 | 1 | 1 | 6 |
| g35 | = | t3+t+1 | 9 | g28 | = | t4+t3+t2 | 0 | 0 | 6 |
| g37 | = | t5+t3+t2 | 63 | g26 | = | t2+t+1 | 1 | 0 | 6 |
| g38 | = | t4+t3+t+1 | 63 | g25 | = | t5+t | 0 | 1 | 6 |
| g39 | = | t5+t4+t2+t | 21 | g24 | = | t4+1 | 1 | 0 | 6 |
| g40 | = | t5+t3+t2+t+1 | 63 | g23 | = | t5+t3+1 | 1 | 1 | 6 |
| g41 | = | t4+t3+t2+1 | 63 | g22 | = | t5+t4+t2+1 | 0 | 1 | 6 |
| g43 | = | t5+t4+t2+t+1 | 63 | g20 | = | t5+t4+t3+t2 | 1 | 1 | 6 |
| g44 | = | t5+t3+t2+1 | 63 | g19 | = | t4+t3+t2+t | 1 | 0 | 6 |
| g46 | = | t5+t4+t | 63 | g17 | = | t5+t2+t | 1 | 1 | 6 |
| g47 | = | t5+t2+t+1 | 63 | g16 | = | t4+t+1 | 1 | 0 | 6 |
| g48 | = | t3+t2+1 | 21 | g15 | = | t5+t3 | 0 | 1 | 6 |
| g49 | = | t4+t3+t | 9 | g14 | = | t4+t2 | 0 | 0 | 6 |
| g50 | = | t5+t4+t2 | 63 | g13 | = | t3+t | 1 | 0 | 6 |
| g51 | = | t5+t3+t+1 | 21 | g12 | = | t2+1 | 1 | 0 | 6 |
| g52 | = | t4+t2+1 | 63 | g11 | = | t5+t+1 | 0 | 1 | 6 |
| g53 | = | t5+t3+t | 63 | g10 | = | t5+t4 | 1 | 1 | 6 |
| g55 | = | t5+t3+t2+t | 63 | g8 | = | t3+t2 | 1 | 0 | 6 |
| g56 | = | t4+t3+t2+t+1 | 9 | g7 | = | t2+t | 0 | 0 | 6 |
| g57 | = | t5+t4+t3+t2+t | 21 | g6 | = | t+1 | 1 | 0 | 6 |
| g58 | = | t5+t4+t3+t2+t+1 | 63 | g5 | = | t5 | 1 | 1 | 6 |
| g59 | = | t5+t4+t3+t2+1 | 63 | g4 | = | t4 | 1 | 0 | 6 |
| g60 | = | t5+t4+t3+1 | 21 | g3 | = | t3 | 1 | 0 | 6 |
| g61 | = | t5+t4+1 | 63 | g2 | = | t2 | 1 | 0 | 6 |
| g62 | = | t5+1 | 63 | g1 | = | t | 1 | 0 | 6 |
| F212, t12+t3+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 4095/GCD(n, 4095) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g65 | = | t11+t10+t8+t7+t+1 | 63 | g4030 | = | t11+t8+t6+t5+t3 | 0 | 0 | 6 |
| g130 | = | t11+t10+t8+t7+t5+t+1 | 63 | g3965 | = | t7+t6+t3+t+1 | 0 | 0 | 6 |
| g195 | = | t11+t10+t8 | 21 | g3900 | = | t11+t10+t8+t7+t6+t3+t+1 | 0 | 0 | 6 |
| g260 | = | t11+t8+t7+t5+t+1 | 63 | g3835 | = | t6+t5+t3 | 0 | 0 | 6 |
| g325 | = | t11+t8+t6+t5+t3+1 | 63 | g3770 | = | t11+t10+t8+t7+t6+t5+t3+t+1 | 0 | 0 | 6 |
| g390 | = | t11+t10+t8+t7+t | 21 | g3705 | = | t11+t10+t8+t7+t6+t5+t3+t | 0 | 0 | 6 |
| g455 | = | t5 | 9 | g3640 | = | t10+t7+t | 0 | 0 | 6 |
| g520 | = | t7+t5+t+1 | 63 | g3575 | = | t10+t6+t3+1 | 0 | 0 | 6 |
| g650 | = | t7+t6+t3+t | 63 | g3445 | = | t11+t8+t7+t6+t5+t3+t | 0 | 0 | 6 |
| g715 | = | t10+t7+t6+t5+t3+t+1 | 63 | g3380 | = | t10+1 | 0 | 0 | 6 |
| g780 | = | t11+t10+t8+t7+t5+t | 21 | g3315 | = | t11+t8+t7+t6+t5+t3+t+1 | 0 | 0 | 6 |
| g845 | = | t7+t+1 | 63 | g3250 | = | t11+t10+t8+t6+t5+t3+1 | 0 | 0 | 6 |
| g910 | = | t10 | 9 | g3185 | = | t11+t8+t5 | 0 | 0 | 6 |
| g975 | = | t10+t6+t5+t3+1 | 21 | g3120 | = | t7+t5+t | 0 | 0 | 6 |
| g1040 | = | t10+t5+1 | 63 | g3055 | = | t11+t8+t6+t3 | 0 | 0 | 6 |
| g1105 | = | t11+t8+t6+t3+1 | 63 | g2990 | = | t11+t10+t8+t6+t3+1 | 0 | 0 | 6 |
| g1235 | = | t10+t7+t+1 | 63 | g2860 | = | t11+t8+t7+t6+t3+t+1 | 0 | 0 | 6 |
| g1300 | = | t6+t5+t3+1 | 63 | g2795 | = | t7+t6+t5+t3+t+1 | 0 | 0 | 6 |
| g1430 | = | t11+t10+t8+t6+t5+t3 | 63 | g2665 | = | t11+t8+1 | 0 | 0 | 6 |
| g1495 | = | t10+t6+t5+t3 | 63 | g2600 | = | t10+t6+t3 | 0 | 0 | 6 |
| g1560 | = | t11+t8+t7+t5+t | 21 | g2535 | = | t7+t6+t5+t3+t | 0 | 0 | 6 |
| g1625 | = | t10+t7+t6+t5+t3+t | 63 | g2470 | = | t11+t8+t5+1 | 0 | 0 | 6 |
| g1690 | = | t5+1 | 63 | g2405 | = | t11+t8+t7+t6+t3+t | 0 | 0 | 6 |
| g1820 | = | t11+t8 | 9 | g2275 | = | t7+t | 0 | 0 | 6 |
| g1885 | = | t11+t10+t8+t7+t6+t3+t | 63 | g2210 | = | t10+t7+t6+t3+t | 0 | 0 | 6 |
| g1950 | = | t11+t10+t8+t6+t3 | 21 | g2145 | = | t10+t5 | 0 | 0 | 6 |
| g2015 | = | t10+t7+t6+t3+t+1 | 63 | g2080 | = | t11+t10+t8+1 | 0 | 0 | 6 |
| g2080 | = | t11+t10+t8+1 | 63 | g2015 | = | t10+t7+t6+t3+t+1 | 0 | 0 | 6 |
| g2145 | = | t10+t5 | 21 | g1950 | = | t11+t10+t8+t6+t3 | 0 | 0 | 6 |
| g2210 | = | t10+t7+t6+t3+t | 63 | g1885 | = | t11+t10+t8+t7+t6+t3+t | 0 | 0 | 6 |
| g2275 | = | t7+t | 9 | g1820 | = | t11+t8 | 0 | 0 | 6 |
| g2405 | = | t11+t8+t7+t6+t3+t | 63 | g1690 | = | t5+1 | 0 | 0 | 6 |
| g2470 | = | t11+t8+t5+1 | 63 | g1625 | = | t10+t7+t6+t5+t3+t | 0 | 0 | 6 |
| g2535 | = | t7+t6+t5+t3+t | 21 | g1560 | = | t11+t8+t7+t5+t | 0 | 0 | 6 |
| g2600 | = | t10+t6+t3 | 63 | g1495 | = | t10+t6+t5+t3 | 0 | 0 | 6 |
| g2665 | = | t11+t8+1 | 63 | g1430 | = | t11+t10+t8+t6+t5+t3 | 0 | 0 | 6 |
| g2795 | = | t7+t6+t5+t3+t+1 | 63 | g1300 | = | t6+t5+t3+1 | 0 | 0 | 6 |
| g2860 | = | t11+t8+t7+t6+t3+t+1 | 63 | g1235 | = | t10+t7+t+1 | 0 | 0 | 6 |
| g2990 | = | t11+t10+t8+t6+t3+1 | 63 | g1105 | = | t11+t8+t6+t3+1 | 0 | 0 | 6 |
| g3055 | = | t11+t8+t6+t3 | 63 | g1040 | = | t10+t5+1 | 0 | 0 | 6 |
| g3120 | = | t7+t5+t | 21 | g975 | = | t10+t6+t5+t3+1 | 0 | 0 | 6 |
| g3185 | = | t11+t8+t5 | 9 | g910 | = | t10 | 0 | 0 | 6 |
| g3250 | = | t11+t10+t8+t6+t5+t3+1 | 63 | g845 | = | t7+t+1 | 0 | 0 | 6 |
| g3315 | = | t11+t8+t7+t6+t5+t3+t+1 | 21 | g780 | = | t11+t10+t8+t7+t5+t | 0 | 0 | 6 |
| g3380 | = | t10+1 | 63 | g715 | = | t10+t7+t6+t5+t3+t+1 | 0 | 0 | 6 |
| g3445 | = | t11+t8+t7+t6+t5+t3+t | 63 | g650 | = | t7+t6+t3+t | 0 | 0 | 6 |
| g3575 | = | t10+t6+t3+1 | 63 | g520 | = | t7+t5+t+1 | 0 | 0 | 6 |
| g3640 | = | t10+t7+t | 9 | g455 | = | t5 | 0 | 0 | 6 |
| g3705 | = | t11+t10+t8+t7+t6+t5+t3+t | 21 | g390 | = | t11+t10+t8+t7+t | 0 | 0 | 6 |
| g3770 | = | t11+t10+t8+t7+t6+t5+t3+t+1 | 63 | g325 | = | t11+t8+t6+t5+t3+1 | 0 | 0 | 6 |
| g3835 | = | t6+t5+t3 | 63 | g260 | = | t11+t8+t7+t5+t+1 | 0 | 0 | 6 |
| g3900 | = | t11+t10+t8+t7+t6+t3+t+1 | 21 | g195 | = | t11+t10+t8 | 0 | 0 | 6 |
| g3965 | = | t7+t6+t3+t+1 | 63 | g130 | = | t11+t10+t8+t7+t5+t+1 | 0 | 0 | 6 |
| g4030 | = | t11+t8+t6+t5+t3 | 63 | g65 | = | t11+t10+t8+t7+t+1 | 0 | 0 | 6 |
| F218, t18+t3+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 262143/GCD(n, 262143) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g4161 | = | t9+t3 | 63 | g257982 | = | t15+t12+t6 | 0 | 1 | 6 |
| g8322 | = | t6+t3+1 | 63 | g253821 | = | t15+t9+t6 | 0 | 1 | 6 |
| g12483 | = | t15+t12+t6+t3 | 21 | g249660 | = | t12+1 | 1 | 0 | 6 |
| g16644 | = | t12+t6+1 | 63 | g245499 | = | t15+t3+1 | 0 | 1 | 6 |
| g20805 | = | t6 | 63 | g241338 | = | t15+t12+1 | 0 | 1 | 6 |
| g24966 | = | t15+t9 | 21 | g237177 | = | t9+t6+1 | 1 | 0 | 6 |
| g29127 | = | t12+t9+t6 | 9 | g233016 | = | t9+t3+1 | 0 | 0 | 6 |
| g33288 | = | t12+t9+t6+1 | 63 | g228855 | = | t15+t12+t6+1 | 0 | 1 | 6 |
| g41610 | = | t12 | 63 | g220533 | = | t15+t12+t9+t6+1 | 0 | 1 | 6 |
| g45771 | = | t15+t6+t3 | 63 | g216372 | = | t15+t12+t3 | 1 | 1 | 6 |
| g49932 | = | t15+t12+t3+1 | 21 | g212211 | = | t12+t3 | 1 | 0 | 6 |
| g54093 | = | t15+t12+t6+t3+1 | 63 | g208050 | = | t15+t12+t9+t6 | 1 | 1 | 6 |
| g58254 | = | t12+t9+t6+t3+1 | 9 | g203889 | = | t6+t3 | 0 | 0 | 6 |
| g62415 | = | t3+1 | 21 | g199728 | = | t15+t12+t9+t6+t3 | 0 | 1 | 6 |
| g66576 | = | t12+t9+t6+t3 | 63 | g195567 | = | t15+t9+t6+1 | 0 | 1 | 6 |
| g70737 | = | t9+1 | 63 | g191406 | = | t15+t6+1 | 0 | 1 | 6 |
| g79059 | = | t15+t12+t9+t6+t3+1 | 63 | g183084 | = | t15 | 1 | 1 | 6 |
| g83220 | = | t9+t6 | 63 | g178923 | = | t15+t9+t6+t3 | 0 | 1 | 6 |
| g91542 | = | t15+t6 | 63 | g170601 | = | t15+t12+t9 | 1 | 1 | 6 |
| g95703 | = | t15+t6+t3+1 | 63 | g166440 | = | t12+t3+1 | 1 | 0 | 6 |
| g99864 | = | t15+t12+t9+1 | 21 | g162279 | = | t9 | 1 | 0 | 6 |
| g104025 | = | t15+t12 | 63 | g158118 | = | t15+t9+t3 | 1 | 1 | 6 |
| g108186 | = | t15+t9+1 | 63 | g153957 | = | t15+t9+t6+t3+1 | 1 | 1 | 6 |
| g116508 | = | t12+t9+t3 | 9 | g145635 | = | t12+t6 | 0 | 0 | 6 |
| g120669 | = | t15+1 | 63 | g141474 | = | t3 | 1 | 0 | 6 |
| g124830 | = | t6+1 | 21 | g137313 | = | t15+t9+t3+1 | 0 | 1 | 6 |
| g128991 | = | t15+t3 | 63 | g133152 | = | t12+t9+t3+1 | 1 | 0 | 6 |
| g133152 | = | t12+t9+t3+1 | 63 | g128991 | = | t15+t3 | 0 | 1 | 6 |
| g137313 | = | t15+t9+t3+1 | 21 | g124830 | = | t6+1 | 1 | 0 | 6 |
| g141474 | = | t3 | 63 | g120669 | = | t15+1 | 0 | 1 | 6 |
| g145635 | = | t12+t6 | 9 | g116508 | = | t12+t9+t3 | 0 | 0 | 6 |
| g153957 | = | t15+t9+t6+t3+1 | 63 | g108186 | = | t15+t9+1 | 1 | 1 | 6 |
| g158118 | = | t15+t9+t3 | 63 | g104025 | = | t15+t12 | 1 | 1 | 6 |
| g162279 | = | t9 | 21 | g99864 | = | t15+t12+t9+1 | 0 | 1 | 6 |
| g166440 | = | t12+t3+1 | 63 | g95703 | = | t15+t6+t3+1 | 0 | 1 | 6 |
| g170601 | = | t15+t12+t9 | 63 | g91542 | = | t15+t6 | 1 | 1 | 6 |
| g178923 | = | t15+t9+t6+t3 | 63 | g83220 | = | t9+t6 | 1 | 0 | 6 |
| g183084 | = | t15 | 63 | g79059 | = | t15+t12+t9+t6+t3+1 | 1 | 1 | 6 |
| g191406 | = | t15+t6+1 | 63 | g70737 | = | t9+1 | 1 | 0 | 6 |
| g195567 | = | t15+t9+t6+1 | 63 | g66576 | = | t12+t9+t6+t3 | 1 | 0 | 6 |
| g199728 | = | t15+t12+t9+t6+t3 | 21 | g62415 | = | t3+1 | 1 | 0 | 6 |
| g203889 | = | t6+t3 | 9 | g58254 | = | t12+t9+t6+t3+1 | 0 | 0 | 6 |
| g208050 | = | t15+t12+t9+t6 | 63 | g54093 | = | t15+t12+t6+t3+1 | 1 | 1 | 6 |
| g212211 | = | t12+t3 | 21 | g49932 | = | t15+t12+t3+1 | 0 | 1 | 6 |
| g216372 | = | t15+t12+t3 | 63 | g45771 | = | t15+t6+t3 | 1 | 1 | 6 |
| g220533 | = | t15+t12+t9+t6+1 | 63 | g41610 | = | t12 | 1 | 0 | 6 |
| g228855 | = | t15+t12+t6+1 | 63 | g33288 | = | t12+t9+t6+1 | 1 | 0 | 6 |
| g233016 | = | t9+t3+1 | 9 | g29127 | = | t12+t9+t6 | 0 | 0 | 6 |
| g237177 | = | t9+t6+1 | 21 | g24966 | = | t15+t9 | 0 | 1 | 6 |
| g241338 | = | t15+t12+1 | 63 | g20805 | = | t6 | 1 | 0 | 6 |
| g245499 | = | t15+t3+1 | 63 | g16644 | = | t12+t6+1 | 1 | 0 | 6 |
| g249660 | = | t12+1 | 21 | g12483 | = | t15+t12+t6+t3 | 0 | 1 | 6 |
| g253821 | = | t15+t9+t6 | 63 | g8322 | = | t6+t3+1 | 1 | 0 | 6 |
| g257982 | = | t15+t12+t6 | 63 | g4161 | = | t9+t3 | 1 | 0 | 6 |
| F224, t24+t4+t3+t+1=0 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| x = gn | 16777215/GCD(n, 16777215) | 1/x | Tr(x) | Tr(1/x) | m/d | ||||
| g266305 | = | t20+t19+t18+t17+t16+t15+t12+t10+t5+t4 | 63 | g16510910 | = | t20+t17+t16+t14+t13+t9+t3+1 | 0 | 0 | 6 |
| g532610 | = | t19+t18+t10+t7+t6+t4+t3+t+1 | 63 | g16244605 | = | t20+t19+t18+t17+t16+t14+t13+t12+t10+t9+t7+t4+t3+t2+1 | 0 | 0 | 6 |
| g798915 | = | t20+t18+t17+t16+t13+t12+t8+t3+t | 21 | g15978300 | = | t20+t19+t17+t16+t15+t14+t12+t10+t9+t8+t6+t5+t4+t3+t2 | 0 | 0 | 6 |
| g1065220 | = | t20+t18+t17+t16+t13+t8+t6+t2+1 | 63 | g15711995 | = | t19+t14+t10+t9+t8+t7+t4+t2+t | 0 | 0 | 6 |
| g1331525 | = | t20+t17+t16+t14+t13+t12+t9+t6+t2+t+1 | 63 | g15445690 | = | t18+t15+t13+t12+t8+t7+t5+t3+t2+t | 0 | 0 | 6 |
| g1597830 | = | t20+t19+t17+t16+t15+t14+t10+t9+t8+t5+t4+t+1 | 21 | g15179385 | = | t19+t15+t13+t10+t8+t5+t4+t3+t+1 | 0 | 0 | 6 |
| g1864135 | = | t20+t19+t17+t16+t13+t10+t8+t7+t4+t3+t2+t+1 | 9 | g14913080 | = | t20+t19+t18+t17+t16+t14+t13+t10+t9+t7+t6+t4+t+1 | 0 | 0 | 6 |
| g2130440 | = | t20+t19+t17+t16+t15+t14+t12+t10+t9+t8+t6+t5+t4+t3+t2+1 | 63 | g14646775 | = | t20+t17+t16+t15+t7+t5+t2 | 0 | 0 | 6 |
| g2663050 | = | t20+t19+t18+t17+t16+t14+t13+t10+t9+t7+t6+t4+t | 63 | g14114165 | = | t15+t14+t13+t12+t9+t7+t6+t5+t+1 | 0 | 0 | 6 |
| g2929355 | = | t20+t18+t17+t16+t13+t12+t8+t3+t+1 | 63 | g13847860 | = | t20+t17+t16+t15+t7+t5+t2+1 | 0 | 0 | 6 |
| g3195660 | = | t19+t15+t13+t12+t10+t8+t6+t5+t4+t2+1 | 21 | g13581555 | = | t20+t18+t17+t16+t15+t14+t9+t8+t7+t6+t5+t3+1 | 0 | 0 | 6 |
| g3461965 | = | t20+t19+t18+t17+t16+t14+t13+t12+t10+t9+t7+t4+t3+t2 | 63 | g13315250 | = | t20+t19+t18+t17+t16+t15+t10+t6+t5+t4+t3+t2+t | 0 | 0 | 6 |
| g3728270 | = | t19+t18+t15+t14+t13+t12+t10+t9+t5+t4+t3+1 | 9 | g13048945 | = | t19+t14+t12+t10+t9+t8+t7+t6+t4+t3+1 | 0 | 0 | 6 |
| g3994575 | = | t19+t18+t10+t7+t6+t4+t3+t | 21 | g12782640 | = | t20+t19+t18+t17+t16+t15+t10+t6+t5+t4+t3+t2+t+1 | 0 | 0 | 6 |
| g4260880 | = | t19+t15+t13+t10+t8+t5+t4+t3+t | 63 | g12516335 | = | t20+t19+t17+t16+t13+t12+t10+t8+t7+t6+t4 | 0 | 0 | 6 |
| g4527185 | = | t20+t19+t17+t16+t13+t10+t8+t7+t4+t3+t2+t | 63 | g12250030 | = | t15+t14+t13+t12+t9+t7+t6+t5+t | 0 | 0 | 6 |
| g5059795 | = | t19+t18+t15+t14+t13+t10+t9+t6+t5+t4+t2+t | 63 | g11717420 | = | t19+t15+t13+t12+t10+t8+t6+t5+t4+t2 | 0 | 0 | 6 |
| g5326100 | = | t19+t14+t12+t10+t9+t8+t7+t6+t4+t3 | 63 | g11451115 | = | t18+t14+t12+t9+t8+t | 0 | 0 | 6 |
| g5858710 | = | t20+t19+t17+t16+t15+t14+t10+t9+t8+t5+t4+t | 63 | g10918505 | = | t20+t19+t17+t16+t13+t12+t10+t8+t7+t6+t4+1 | 0 | 0 | 6 |
| g6125015 | = | t18+t15+t13+t12+t8+t7+t5+t3+t2+t+1 | 63 | g10652200 | = | t20+t17+t16+t15+t12+t7+t6+t5+t3+t+1 | 0 | 0 | 6 |
| g6391320 | = | t20+t18+t17+t16+t15+t14+t12+t9+t8+t7+t5+t2+t | 21 | g10385895 | = | t20+t19+t18+t17+t16+t15+t12+t10+t5+t4+1 | 0 | 0 | 6 |
| g6657625 | = | t20+t18+t17+t16+t15+t14+t12+t9+t8+t7+t5+t2+t+1 | 63 | g10119590 | = | t20+t17+t16+t14+t13+t9+t3 | 0 | 0 | 6 |
| g6923930 | = | t19+t14+t10+t9+t8+t7+t4+t2+t+1 | 63 | g9853285 | = | t19+t18+t12+t10+t7+t4+t2 | 0 | 0 | 6 |
| g7456540 | = | t20+t17+t16+t14+t13+t12+t9+t6+t2+t | 9 | g9320675 | = | t20+t17+t16+t15+t12+t7+t6+t5+t3+t | 0 | 0 | 6 |
| g7722845 | = | t18+t14+t12+t9+t8+t+1 | 63 | g9054370 | = | t19+t18+t15+t14+t13+t12+t10+t9+t5+t4+t3 | 0 | 0 | 6 |
| g7989150 | = | t20+t18+t17+t16+t13+t8+t6+t2 | 21 | g8788065 | = | t19+t18+t12+t10+t7+t4+t2+1 | 0 | 0 | 6 |
| g8255455 | = | t19+t18+t15+t14+t13+t10+t9+t6+t5+t4+t2+t+1 | 63 | g8521760 | = | t20+t18+t17+t16+t15+t14+t9+t8+t7+t6+t5+t3 | 0 | 0 | 6 |
| g8521760 | = | t20+t18+t17+t16+t15+t14+t9+t8+t7+t6+t5+t3 | 63 | g8255455 | = | t19+t18+t15+t14+t13+t10+t9+t6+t5+t4+t2+t+1 | 0 | 0 | 6 |
| g8788065 | = | t19+t18+t12+t10+t7+t4+t2+1 | 21 | g7989150 | = | t20+t18+t17+t16+t13+t8+t6+t2 | 0 | 0 | 6 |
| g9054370 | = | t19+t18+t15+t14+t13+t12+t10+t9+t5+t4+t3 | 63 | g7722845 | = | t18+t14+t12+t9+t8+t+1 | 0 | 0 | 6 |
| g9320675 | = | t20+t17+t16+t15+t12+t7+t6+t5+t3+t | 9 | g7456540 | = | t20+t17+t16+t14+t13+t12+t9+t6+t2+t | 0 | 0 | 6 |
| g9853285 | = | t19+t18+t12+t10+t7+t4+t2 | 63 | g6923930 | = | t19+t14+t10+t9+t8+t7+t4+t2+t+1 | 0 | 0 | 6 |
| g10119590 | = | t20+t17+t16+t14+t13+t9+t3 | 63 | g6657625 | = | t20+t18+t17+t16+t15+t14+t12+t9+t8+t7+t5+t2+t+1 | 0 | 0 | 6 |
| g10385895 | = | t20+t19+t18+t17+t16+t15+t12+t10+t5+t4+1 | 21 | g6391320 | = | t20+t18+t17+t16+t15+t14+t12+t9+t8+t7+t5+t2+t | 0 | 0 | 6 |
| g10652200 | = | t20+t17+t16+t15+t12+t7+t6+t5+t3+t+1 | 63 | g6125015 | = | t18+t15+t13+t12+t8+t7+t5+t3+t2+t+1 | 0 | 0 | 6 |
| g10918505 | = | t20+t19+t17+t16+t13+t12+t10+t8+t7+t6+t4+1 | 63 | g5858710 | = | t20+t19+t17+t16+t15+t14+t10+t9+t8+t5+t4+t | 0 | 0 | 6 |
| g11451115 | = | t18+t14+t12+t9+t8+t | 63 | g5326100 | = | t19+t14+t12+t10+t9+t8+t7+t6+t4+t3 | 0 | 0 | 6 |
| g11717420 | = | t19+t15+t13+t12+t10+t8+t6+t5+t4+t2 | 63 | g5059795 | = | t19+t18+t15+t14+t13+t10+t9+t6+t5+t4+t2+t | 0 | 0 | 6 |
| g12250030 | = | t15+t14+t13+t12+t9+t7+t6+t5+t | 63 | g4527185 | = | t20+t19+t17+t16+t13+t10+t8+t7+t4+t3+t2+t | 0 | 0 | 6 |
| g12516335 | = | t20+t19+t17+t16+t13+t12+t10+t8+t7+t6+t4 | 63 | g4260880 | = | t19+t15+t13+t10+t8+t5+t4+t3+t | 0 | 0 | 6 |
| g12782640 | = | t20+t19+t18+t17+t16+t15+t10+t6+t5+t4+t3+t2+t+1 | 21 | g3994575 | = | t19+t18+t10+t7+t6+t4+t3+t | 0 | 0 | 6 |
| g13048945 | = | t19+t14+t12+t10+t9+t8+t7+t6+t4+t3+1 | 9 | g3728270 | = | t19+t18+t15+t14+t13+t12+t10+t9+t5+t4+t3+1 | 0 | 0 | 6 |
| g13315250 | = | t20+t19+t18+t17+t16+t15+t10+t6+t5+t4+t3+t2+t | 63 | g3461965 | = | t20+t19+t18+t17+t16+t14+t13+t12+t10+t9+t7+t4+t3+t2 | 0 | 0 | 6 |
| g13581555 | = | t20+t18+t17+t16+t15+t14+t9+t8+t7+t6+t5+t3+1 | 21 | g3195660 | = | t19+t15+t13+t12+t10+t8+t6+t5+t4+t2+1 | 0 | 0 | 6 |
| g13847860 | = | t20+t17+t16+t15+t7+t5+t2+1 | 63 | g2929355 | = | t20+t18+t17+t16+t13+t12+t8+t3+t+1 | 0 | 0 | 6 |
| g14114165 | = | t15+t14+t13+t12+t9+t7+t6+t5+t+1 | 63 | g2663050 | = | t20+t19+t18+t17+t16+t14+t13+t10+t9+t7+t6+t4+t | 0 | 0 | 6 |
| g14646775 | = | t20+t17+t16+t15+t7+t5+t2 | 63 | g2130440 | = | t20+t19+t17+t16+t15+t14+t12+t10+t9+t8+t6+t5+t4+t3+t2+1 | 0 | 0 | 6 |
| g14913080 | = | t20+t19+t18+t17+t16+t14+t13+t10+t9+t7+t6+t4+t+1 | 9 | g1864135 | = | t20+t19+t17+t16+t13+t10+t8+t7+t4+t3+t2+t+1 | 0 | 0 | 6 |
| g15179385 | = | t19+t15+t13+t10+t8+t5+t4+t3+t+1 | 21 | g1597830 | = | t20+t19+t17+t16+t15+t14+t10+t9+t8+t5+t4+t+1 | 0 | 0 | 6 |
| g15445690 | = | t18+t15+t13+t12+t8+t7+t5+t3+t2+t | 63 | g1331525 | = | t20+t17+t16+t14+t13+t12+t9+t6+t2+t+1 | 0 | 0 | 6 |
| g15711995 | = | t19+t14+t10+t9+t8+t7+t4+t2+t | 63 | g1065220 | = | t20+t18+t17+t16+t13+t8+t6+t2+1 | 0 | 0 | 6 |
| g15978300 | = | t20+t19+t17+t16+t15+t14+t12+t10+t9+t8+t6+t5+t4+t3+t2 | 21 | g798915 | = | t20+t18+t17+t16+t13+t12+t8+t3+t | 0 | 0 | 6 |
| g16244605 | = | t20+t19+t18+t17+t16+t14+t13+t12+t10+t9+t7+t4+t3+t2+1 | 63 | g532610 | = | t19+t18+t10+t7+t6+t4+t3+t+1 | 0 | 0 | 6 |
| g16510910 | = | t20+t17+t16+t14+t13+t9+t3+1 | 63 | g266305 | = | t20+t19+t18+t17+t16+t15+t12+t10+t5+t4 | 0 | 0 | 6 |
The discussion of this data continuous here.