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5L 3s: Difference between revisions

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5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo|5edo]] = 480¢) to 3\8 (three degrees of [[8edo|8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:


{| class="wikitable"
{| class="wikitable" style="text-align:center;"
|-
|-
! colspan="5" | generator
! colspan="5" | generator
! | <span style="display: block; text-align: center;">tetrachord</span>
! | tetrachord
! | <span style="display: block; text-align: center;">g in cents</span>
! | g in cents
! | <span style="display: block; text-align: center;">2g</span>
! | 2g
! | <span style="display: block; text-align: center;">3g</span>
! | 3g
! | <span style="display: block; text-align: center;">4g</span>
! | 4g
! | <span style="display: block; text-align: center;">Comments</span>
! | Comments
|-
|-
| | 2\5
| | 2\5
Line 16: Line 16:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">1 0 1</span>
| | 1 0 1
| style="text-align:center;" | 480.000
| | 480.000
| style="text-align:center;" | 960.000
| | 960.000
| style="text-align:center;" | 240.00
| | 240.00
| style="text-align:center;" | <span style="line-height: 15.6000003814697px;">720.000</span>
| | 720.000
| style="text-align:center;" |  
| |  
|-
|-
| | 21\53
| | 21\53
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">10 1 10</span>
| | 10 1 10
| style="text-align:center;" | 475.472
| | 475.472
| style="text-align:center;" | 950.943
| | 950.943
| style="text-align:center;" | 226.415
| | 226.415
| style="text-align:center;" | 701.887
| | 701.887
| style="text-align:center;" | <span style="display: block; text-align: center;">Vulture/Buzzard is around here</span>
| | Vulture/Buzzard is around here
|-
|-
| | 19\48
| | 19\48
Line 40: Line 40:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">9 1 9</span>
| | 9 1 9
| style="text-align:center;" | 475
| | 475
| style="text-align:center;" | 950
| | 950
| style="text-align:center;" | 225
| | 225
| style="text-align:center;" | 700
| | 700
| style="text-align:center;" |  
| |  
|-
|-
| | 17\43
| | 17\43
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">8 1 8</span>
| | 8 1 8
| style="text-align:center;" | 474.419
| | 474.419
| style="text-align:center;" | 948.837
| | 948.837
| style="text-align:center;" | 223.256
| | 223.256
| style="text-align:center;" | 697.674
| | 697.674
| style="text-align:center;" |  
| |  
|-
|-
| | 15\38
| | 15\38
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">7 1 7</span>
| | 7 1 7
| style="text-align:center;" | 473.684
| | 473.684
| style="text-align:center;" | 947.368
| | 947.368
| style="text-align:center;" | 221.053
| | 221.053
| style="text-align:center;" | 694.737
| | 694.737
| style="text-align:center;" |  
| |  
|-
|-
| | 13\33
| | 13\33
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">6 1 6</span>
| | 6 1 6
| style="text-align:center;" | 472.727
| | 472.727
| style="text-align:center;" | 945.455
| | 945.455
| style="text-align:center;" | 218.181
| | 218.181
| style="text-align:center;" | 690.909
| | 690.909
| style="text-align:center;" |  
| |  
|-
|-
| | 11\28
| | 11\28
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">5 1 5</span>
| | 5 1 5
| style="text-align:center;" | 471.429
| | 471.429
| style="text-align:center;" | 942.857
| | 942.857
| style="text-align:center;" | 214.286
| | 214.286
| style="text-align:center;" | 685.714
| | 685.714
| style="text-align:center;" |  
| |  
|-
|-
| | 9\23
| | 9\23
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">4 1 4</span>
| | 4 1 4
| style="text-align:center;" | 469.565
| | 469.565
| style="text-align:center;" | 939.130
| | 939.130
| style="text-align:center;" | 208.696
| | 208.696
| style="text-align:center;" | 678.261
| | 678.261
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 4</span>
| | L/s = 4
|-
|-
| |  
| |  
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| |  
| |  
| |  
| |  
| style="text-align:center;" | pi 1 pi
| | pi 1 pi
| style="text-align:center;" | 467.171
| | 467.171
| style="text-align:center;" | 934.3425
| | 934.3425
| style="text-align:center;" | 201.514
| | 201.514
| style="text-align:center;" | 668.685
| | 668.685
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
| | L/s = pi
|-
|-
| | 7\18
| | 7\18
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">3 1 3</span>
| | 3 1 3
| style="text-align:center;" | 466.667
| | 466.667
| style="text-align:center;" | 933.333
| | 933.333
| style="text-align:center;" | 200.000
| | 200.000
| style="text-align:center;" | 666.667
| | 666.667
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 3</span>
| | L/s = 3
|-
|-
| |  
| |  
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| |  
| |  
| |  
| |  
| style="text-align:center;" | e 1 e
| | e 1 e
| style="text-align:center;" | 465.535
| | 465.535
| style="text-align:center;" | 931.069
| | 931.069
| style="text-align:center;" | 196.604
| | 196.604
| style="text-align:center;" | 662.139
| | 662.139
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
| | L/s = e
|-
|-
| |  
| |  
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| |  
| |  
| |  
| |  
| style="text-align:center;" | 8 3 8
| | 8 3 8
| style="text-align:center;" | 465.306
| | 465.306
| style="text-align:center;" | 930.612
| | 930.612
| style="text-align:center;" | 195.918
| | 195.918
| style="text-align:center;" | 661.2245
| | 661.2245
| |  
| |  
|-
|-
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| |  
| |  
| |  
| |  
| style="text-align:center;" | 21 8 21
| | 21 8 21
| style="text-align:center;" | 465.116
| | 465.116
| style="text-align:center;" | 930.233
| | 930.233
| style="text-align:center;" | 195.349
| | 195.349
| style="text-align:center;" | 660.465
| | 660.465
| |  
| |  
|-
|-
Line 172: Line 172:
| | 131\338
| | 131\338
| |  
| |  
| style="text-align:center;" | 55 21 55
| | 55 21 55
| style="text-align:center;" | 465.089
| | 465.089
| style="text-align:center;" | 930.1775
| | 930.1775
| style="text-align:center;" | 195.266
| | 195.266
| style="text-align:center;" | 660.335
| | 660.335
| |  
| |  
|-
|-
Line 184: Line 184:
| |  
| |  
| | 212\547
| | 212\547
| style="text-align:center;" | 89 34 89
| | 89 34 89
| style="text-align:center;" | 465.082
| | 465.082
| style="text-align:center;" | 930.1645
| | 930.1645
| style="text-align:center;" | 195.247
| | 195.247
| style="text-align:center;" | 660.329
| | 660.329
| |  
| |  
|-
|-
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| | 81\209
| | 81\209
| |  
| |  
| style="text-align:center;" | 34 13 34
| | 34 13 34
| style="text-align:center;" | 465.072
| | 465.072
| style="text-align:center;" | 930.1435
| | 930.1435
| style="text-align:center;" | 195.215
| | 195.215
| style="text-align:center;" | 660.287
| | 660.287
| |  
| |  
|-
|-
Line 208: Line 208:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 13 5 13
| | 13 5 13
| style="text-align:center;" | 465
| | 465
| style="text-align:center;" | 930
| | 930
| style="text-align:center;" | 195
| | 195
| style="text-align:center;" | 660
| | 660
| |  
| |  
|-
|-
Line 220: Line 220:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">5 2 5</span>
| | 5 2 5
| style="text-align:center;" | 464.516
| | 464.516
| style="text-align:center;" | 929.032
| | 929.032
| style="text-align:center;" | 193.549
| | 193.549
| style="text-align:center;" | 658.065
| | 658.065
| style="text-align:center;" |  
| |  
|-
|-
| | 5\13
| | 5\13
Line 232: Line 232:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">2 1 2</span>
| | 2 1 2
| style="text-align:center;" | 461.538
| | 461.538
| style="text-align:center;" | 923.077
| | 923.077
| style="text-align:center;" | 184.615
| | 184.615
| style="text-align:center;" | 646.154
| | 646.154
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
Line 244: Line 244:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="background-color: #ffffff;">√3 1 √3</span>
| | √3 1 √3
| style="text-align:center;" | 459.417
| | 459.417
| style="text-align:center;" | 918.8345
| | 918.8345
| style="text-align:center;" | 178.252
| | 178.252
| style="text-align:center;" | 637.669
| | 637.669
| |  
| |  
|-
|-
Line 256: Line 256:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">5 3 5</span>
| | 5 3 5
| style="text-align:center;" | 458.824
| | 458.824
| style="text-align:center;" | 917.647
| | 917.647
| style="text-align:center;" | 176.471
| | 176.471
| style="text-align:center;" | 635.294
| | 635.294
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
Line 268: Line 268:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">13 8 13</span>
| | 13 8 13
| style="text-align:center;" | 458.427
| | 458.427
| style="text-align:center;" | 916.854
| | 916.854
| style="text-align:center;" | 175.281
| | 175.281
| style="text-align:center;" | 633.708
| | 633.708
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
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| | 89\233
| | 89\233
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">34 21 34</span>
| | 34 21 34
| style="text-align:center;" | <span style="line-height: 15.6000003814697px;">458.369</span>
| | 458.369
| style="text-align:center;" | <span style="display: block; text-align: center;">916.738</span>
| | 916.738
| style="text-align:center;" | 175.107
| | 175.107
| style="text-align:center;" | <span style="line-height: 15.6000003814697px;">633.473</span>
| | 633.473
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
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| |  
| |  
| | 233\610
| | 233\610
| style="text-align:center;" | <span style="display: block; text-align: center;">89 55 89</span>
| | 89 55 89
| style="text-align:center;" | 458.361
| | 458.361
| style="text-align:center;" | 916.721
| | 916.721
| style="text-align:center;" | 175.082
| | 175.082
| style="text-align:center;" | 633.443
| | 633.443
| style="text-align:center;" | <span style="display: block; text-align: center;">Golden father</span>
| | Golden father
|-
|-
| |  
| |  
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| | 144\377
| | 144\377
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">55 34 55</span>
| | 55 34 55
| style="text-align:center;" | 458.355
| | 458.355
| style="text-align:center;" | 916.711
| | 916.711
| style="text-align:center;" | 175.066
| | 175.066
| style="text-align:center;" | 633.422
| | 633.422
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
Line 316: Line 316:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">21 13 21</span>
| | 21 13 21
| style="text-align:center;" | 458.333
| | 458.333
| style="text-align:center;" | 916.666
| | 916.666
| style="text-align:center;" | 175
| | 175
| style="text-align:center;" | 633.333
| | 633.333
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
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| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">8 5 8</span>
| | 8 5 8
| style="text-align:center;" | 458.182
| | 458.182
| style="text-align:center;" | 916.364
| | 916.364
| style="text-align:center;" | 174.545
| | 174.545
| style="text-align:center;" | 632.727
| | 632.727
| style="text-align:center;" |  
| |  
|-
|-
| |  
| |  
Line 340: Line 340:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">pi 2 pi</span>
| | pi 2 pi
| style="text-align:center;" | 457.883
| | 457.883
| style="text-align:center;" | 915.777
| | 915.777
| style="text-align:center;" | 173.665
| | 173.665
| style="text-align:center;" | 631.553
| | 631.553
| |  
| |  
|-
|-
Line 352: Line 352:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">3 2 3</span>
| | 3 2 3
| style="text-align:center;" | 457.143
| | 457.143
| style="text-align:center;" | 914.286
| | 914.286
| style="text-align:center;" | 171.429
| | 171.429
| style="text-align:center;" | 628.571
| | 628.571
| style="text-align:center;" | <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span>
| | Optimum rank range (L/s=3/2) father
|-
|-
| | 11\29
| | 11\29
Line 364: Line 364:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">4 3 4</span>
| | 4 3 4
| style="text-align:center;" | 455.172
| | 455.172
| style="text-align:center;" | 910.345
| | 910.345
| style="text-align:center;" | 165.517
| | 165.517
| style="text-align:center;" | 620.690
| | 620.690
| style="text-align:center;" |  
| |  
|-
|-
| | 14\37
| | 14\37
Line 376: Line 376:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 5 4 5
| | 5 4 5
| style="text-align:center;" | 454.054
| | 454.054
| style="text-align:center;" | 908.108
| | 908.108
| style="text-align:center;" | 162.162
| | 162.162
| style="text-align:center;" | 616.216
| | 616.216
| |  
| |  
|-
|-
Line 388: Line 388:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 6 5 6
| | 6 5 6
| style="text-align:center;" | 453.333
| | 453.333
| style="text-align:center;" | 906.667
| | 906.667
| style="text-align:center;" | 160
| | 160
| style="text-align:center;" | 613.333
| | 613.333
| |  
| |  
|-
|-
Line 400: Line 400:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 7 6 7
| | 7 6 7
| style="text-align:center;" | 452.83
| | 452.83
| style="text-align:center;" | 905.66
| | 905.66
| style="text-align:center;" | 158.491
| | 158.491
| style="text-align:center;" | 611.321
| | 611.321
| |  
| |  
|-
|-
Line 412: Line 412:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 8 7 8
| | 8 7 8
| style="text-align:center;" | 452.459
| | 452.459
| style="text-align:center;" | 904.918
| | 904.918
| style="text-align:center;" | 157.377
| | 157.377
| style="text-align:center;" | 609.836
| | 609.836
| |  
| |  
|-
|-
Line 424: Line 424:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 9 8 9
| | 9 8 9
| style="text-align:center;" | 452.174
| | 452.174
| style="text-align:center;" | 904.348
| | 904.348
| style="text-align:center;" | 156.522
| | 156.522
| style="text-align:center;" | 608.696
| | 608.696
| |  
| |  
|-
|-
Line 436: Line 436:
| |  
| |  
| |  
| |  
| style="text-align:center;" | 10 9 10
| | 10 9 10
| style="text-align:center;" | 451.948
| | 451.948
| style="text-align:center;" | 903.896
| | 903.896
| style="text-align:center;" | 155.844
| | 155.844
| style="text-align:center;" | 607.792
| | 607.792
| |  
| |  
|-
|-
Line 448: Line 448:
| |  
| |  
| |  
| |  
| style="text-align:center;" | <span style="display: block; text-align: center;">1 1 1</span>
| | 1 1 1
| style="text-align:center;" | 450.000
| | 450.000
| style="text-align:center;" | 900.000
| | 900.000
| style="text-align:center;" | 150.000
| | 150.000
| style="text-align:center;" | 600.000
| | 600.000
| style="text-align:center;" |  
| |  
|}
|}
The only notable harmonic entropy minimum is Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.
The only notable harmonic entropy minimum is Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.
Line 459: Line 459:
By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.
By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.


{| class="wikitable"
{| class="wikitable" style="text-align:center;"
|-
|-
! colspan="5" | generator
! colspan="5" | generator
Line 469: Line 469:
! | Comments
! | Comments
|-
|-
| style="text-align:center;" | 2\5
| | 2\5
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 1 0 1
| | 1 0 1
| style="text-align:center;" | 760.782
| | 760.782
| style="text-align:center;" | 1521.564
| | 1521.564
| style="text-align:center;" | 380.391
| | 380.391
| style="text-align:center;" | 1141.173
| | 1141.173
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 27\68
| | 27\68
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 1 13
| | 13 1 13
| style="text-align:center;" | 755.188
| | 755.188
| style="text-align:center;" | 1510.376
| | 1510.376
| style="text-align:center;" | 363.609
| | 363.609
| style="text-align:center;" | 1118.797
| | 1118.797
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | ~6626 515 6626
| | ~6626 515 6626
| style="text-align:center;" | 755.132
| | 755.132
| style="text-align:center;" | 1510.265
| | 1510.265
| style="text-align:center;" | 363.442
| | 363.442
| style="text-align:center;" | 1118.574
| | 1118.574
| style="text-align:center;" | <span style="display: block; text-align: center;">2g=12/5 minus quarter comma</span>
| | 2g=12/5 minus quarter comma
|-
|-
| style="text-align:center;" | 25\63
| | 25\63
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 12 1 12
| | 12 1 12
| style="text-align:center;" | 754.744
| | 754.744
| style="text-align:center;" | 1509.488
| | 1509.488
| style="text-align:center;" | 362.277
| | 362.277
| style="text-align:center;" | 1117.021
| | 1117.021
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 23\58
| | 23\58
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 1 11
| | 11 1 11
| style="text-align:center;" | 754.2235
| | 754.2235
| style="text-align:center;" | 1508.447
| | 1508.447
| style="text-align:center;" | 360.716
| | 360.716
| style="text-align:center;" | 1114.939
| | 1114.939
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 21\53
| | 21\53
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 10 1 10
| | 10 1 10
| style="text-align:center;" | 753.605
| | 753.605
| style="text-align:center;" | 1507.21
| | 1507.21
| style="text-align:center;" | 358.859
| | 358.859
| style="text-align:center;" | 1112.464
| | 1112.464
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 19\48
| | 19\48
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 9 1 9
| | 9 1 9
| style="text-align:center;" | 752.857
| | 752.857
| style="text-align:center;" | 1505.714
| | 1505.714
| style="text-align:center;" | 356.617
| | 356.617
| style="text-align:center;" | 1109.474
| | 1109.474
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 17\43
| | 17\43
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 8 1 8
| | 8 1 8
| style="text-align:center;" | 751.936
| | 751.936
| style="text-align:center;" | 1503.871
| | 1503.871
| style="text-align:center;" | 353.852
| | 353.852
| style="text-align:center;" | 1105.788
| | 1105.788
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 15\38
| | 15\38
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 7 1 7
| | 7 1 7
| style="text-align:center;" | 750.771
| | 750.771
| style="text-align:center;" | 1501.543
| | 1501.543
| style="text-align:center;" | 350.36
| | 350.36
| style="text-align:center;" | 1101.132
| | 1101.132
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 28/71
| | 28/71
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 2 13
| | 13 2 13
| style="text-align:center;" | 750.067
| | 750.067
| style="text-align:center;" | 1500.1335
| | 1500.1335
| style="text-align:center;" | 348.245
| | 348.245
| style="text-align:center;" | 1098.312
| | 1098.312
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 41\104
| | 41\104
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 19 3 19
| | 19 3 19
| style="text-align:center;" | 749.809
| | 749.809
| style="text-align:center;" | 1466.618
| | 1466.618
| style="text-align:center;" | 347.4725
| | 347.4725
| style="text-align:center;" | 1097.282
| | 1097.282
| style="text-align:center;" | 3g=11/3 near here
| | 3g=11/3 near here
|-
|-
| style="text-align:center;" | 13\33
| | 13\33
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 6 1 6
| | 6 1 6
| style="text-align:center;" | 749.255
| | 749.255
| style="text-align:center;" | 1498.51
| | 1498.51
| style="text-align:center;" | 345.81
| | 345.81
| style="text-align:center;" | 1095.065
| | 1095.065
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 24\61
| | 24\61
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 2 11
| | 11 2 11
| style="text-align:center;" | 748.31
| | 748.31
| style="text-align:center;" | 1496.62
| | 1496.62
| style="text-align:center;" | 342.976
| | 342.976
| style="text-align:center;" | 1091.286
| | 1091.286
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 35\89
| | 35\89
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 16 3 16
| | 16 3 16
| style="text-align:center;" | 747.96
| | 747.96
| style="text-align:center;" | 1495.92
| | 1495.92
| style="text-align:center;" | 341.924
| | 341.924
| style="text-align:center;" | 1089.884
| | 1089.884
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 46\117
| | 46\117
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 21 4 21
| | 21 4 21
| style="text-align:center;" | 747.777
| | 747.777
| style="text-align:center;" | 1495.554
| | 1495.554
| style="text-align:center;" | 341.377
| | 341.377
| style="text-align:center;" | 1089.154
| | 1089.154
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 57\145
| | 57\145
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 26 5 26
| | 26 5 26
| style="text-align:center;" | 747.665
| | 747.665
| style="text-align:center;" | 1495.33
| | 1495.33
| style="text-align:center;" | 341.04
| | 341.04
| style="text-align:center;" | 1088.705
| | 1088.705
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 5+<span style="background-color: #ffffff;">√29 2 5+√29</span>
| | 5+√29 2 5+√29
| style="text-align:center;" | 747.648
| | 747.648
| style="text-align:center;" | 1495.297
| | 1495.297
| style="text-align:center;" | 340.99
| | 340.99
| style="text-align:center;" | 1088.638
| | 1088.638
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 68\173
| | 68\173
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 31 6 31
| | 31 6 31
| style="text-align:center;" | 747.589
| | 747.589
| style="text-align:center;" | 1495.178
| | 1495.178
| style="text-align:center;" | 340.813
| | 340.813
| style="text-align:center;" | 1088.402
| | 1088.402
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 147\374
| | 147\374
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 67 13 67
| | 67 13 67
| style="text-align:center;" | 747.56
| | 747.56
| style="text-align:center;" | 1495.12
| | 1495.12
| style="text-align:center;" | 340.725
| | 340.725
| style="text-align:center;" | 1088.285
| | 1088.285
| style="text-align:center;" | 4g=45/8 near here
| | 4g=45/8 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 79\201
| | 79\201
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 36 7 36
| | 36 7 36
| style="text-align:center;" | 747.535
| | 747.535
| style="text-align:center;" | 1495.069
| | 1495.069
| style="text-align:center;" | 340.649
| | 340.649
| style="text-align:center;" | 1088.183
| | 1088.183
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 11\28
| | 11\28
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 5 1 5
| | 5 1 5
| style="text-align:center;" | 747.197
| | 747.197
| style="text-align:center;" | 1494.393
| | 1494.393
| style="text-align:center;" | 339.635
| | 339.635
| style="text-align:center;" | 1086.831
| | 1086.831
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 20\51
| | 20\51
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 9 2 9
| | 9 2 9
| style="text-align:center;" | 745.865
| | 745.865
| style="text-align:center;" | 1491.729
| | 1491.729
| style="text-align:center;" | 335.639
| | 335.639
| style="text-align:center;" | 1081.50
| | 1081.50
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 29\74
| | 29\74
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 3 13
| | 13 3 13
| style="text-align:center;" | 745.361
| | 745.361
| style="text-align:center;" | 1490.721
| | 1490.721
| style="text-align:center;" | 334.127
| | 334.127
| style="text-align:center;" | 1079.488
| | 1079.488
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 38/97
| | 38/97
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 17 4 17
| | 17 4 17
| style="text-align:center;" | 745.096
| | 745.096
| style="text-align:center;" | 1490.192
| | 1490.192
| style="text-align:center;" | 333.332
| | 333.332
| style="text-align:center;" | 1078.428
| | 1078.428
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 2+<span style="background-color: #ffffff;">√5 1 </span>2+<span style="background-color: #ffffff;">√5</span>
| | 2+√5 1 2+√5
| style="text-align:center;" | 754.051
| | 754.051
| style="text-align:center;" | 1490.101
| | 1490.101
| style="text-align:center;" | 333.197
| | 333.197
| style="text-align:center;" | 1078.247
| | 1078.247
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 47\120
| | 47\120
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 21 5 21
| | 21 5 21
| style="text-align:center;" | 744.932
| | 744.932
| style="text-align:center;" | 1489.865
| | 1489.865
| style="text-align:center;" | 332.842
| | 332.842
| style="text-align:center;" | 1077.7745
| | 1077.7745
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 9\23
| | 9\23
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 4 1 4
| | 4 1 4
| style="text-align:center;" | 744.243
| | 744.243
| style="text-align:center;" | 1488.487
| | 1488.487
| style="text-align:center;" | 330.775
| | 330.775
| style="text-align:center;" | 1075.018
| | 1075.018
| style="text-align:center;" | L/s = 4
| | L/s = 4
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 43\110
| | 43\110
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 19 5 19
| | 19 5 19
| style="text-align:center;" | 743.4915
| | 743.4915
| style="text-align:center;" | 1486.983
| | 1486.983
| style="text-align:center;" | 328.5195
| | 328.5195
| style="text-align:center;" | 1072.011
| | 1072.011
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 77\197
| | 77\197
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 34 9 34
| | 34 9 34
| style="text-align:center;" | 743.404
| | 743.404
| style="text-align:center;" | 1486.807
| | 1486.807
| style="text-align:center;" | 328.256
| | 328.256
| style="text-align:center;" | 1071.66
| | 1071.66
| style="text-align:center;" | 4g=39/7 near here
| | 4g=39/7 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 34\87
| | 34\87
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 15 4 15
| | 15 4 15
| style="text-align:center;" | 743.293
| | 743.293
| style="text-align:center;" | 1486.586
| | 1486.586
| style="text-align:center;" | 327.923
| | 327.923
| style="text-align:center;" | 1071.216
| | 1071.216
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 25\64
| | 25\64
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 3 11
| | 11 3 11
| style="text-align:center;" | 742.951
| | 742.951
| style="text-align:center;" | 1485.902
| | 1485.902
| style="text-align:center;" | 326.899
| | 326.899
| style="text-align:center;" | 1069.85
| | 1069.85
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 16\41
| | 16\41
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 7 2 7
| | 7 2 7
| style="text-align:center;" | 742.226
| | 742.226
| style="text-align:center;" | 1484.453
| | 1484.453
| style="text-align:center;" | 324.724
| | 324.724
| style="text-align:center;" | 1066.95
| | 1066.95
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 23\59
| | 23\59
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 10 3 10
| | 10 3 10
| style="text-align:center;" | 741.44
| | 741.44
| style="text-align:center;" | 1482.88
| | 1482.88
| style="text-align:center;" | 322.365
| | 322.365
| style="text-align:center;" | 1063.805
| | 1063.805
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 3+<span style="background-color: #ffffff;">√13 2 3+√13</span>
| | 3+√13 2 3+√13
| style="text-align:center;" | 741.289
| | 741.289
| style="text-align:center;" | 1482.577
| | 1482.577
| style="text-align:center;" | 321.911
| | 321.911
| style="text-align:center;" | 1063.20
| | 1063.20
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 30\77
| | 30\77
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 4 13
| | 13 4 13
| style="text-align:center;" | 741.021
| | 741.021
| style="text-align:center;" | 1482.043
| | 1482.043
| style="text-align:center;" | 321.109
| | 321.109
| style="text-align:center;" | 1062.131
| | 1062.131
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | pi 1 pi
| | pi 1 pi
| style="text-align:center;" | 740.449
| | 740.449
| style="text-align:center;" | 1480.898
| | 1480.898
| style="text-align:center;" | 319.392
| | 319.392
| style="text-align:center;" | 1056.841
| | 1056.841
| style="text-align:center;" | L/s = pi
| | L/s = pi
|-
|-
| style="text-align:center;" | 7\18
| | 7\18
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 3 1 3
| | 3 1 3
| style="text-align:center;" | 739.649
| | 739.649
| style="text-align:center;" | 1479.298
| | 1479.298
| style="text-align:center;" | 316.992
| | 316.992
| style="text-align:center;" | 1056.642
| | 1056.642
| style="text-align:center;" | L/s = 3
| | L/s = 3
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 89\229
| | 89\229
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 38 13 38
| | 38 13 38
| style="text-align:center;" | 739.188
| | 739.188
| style="text-align:center;" | 1478.376
| | 1478.376
| style="text-align:center;" | 315.608
| | 315.608
| style="text-align:center;" | 1054.796
| | 1054.796
| style="text-align:center;" | 3g=18/5 near here
| | 3g=18/5 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 82\211
| | 82\211
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 35 12 35
| | 35 12 35
| style="text-align:center;" | 739.148
| | 739.148
| style="text-align:center;" | 1478.297
| | 1478.297
| style="text-align:center;" | 315.49
| | 315.49
| style="text-align:center;" | 1054.639
| | 1054.639
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 75\193
| | 75\193
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 32 11 32
| | 32 11 32
| style="text-align:center;" | 739.102
| | 739.102
| style="text-align:center;" | 1478.203
| | 1478.203
| style="text-align:center;" | 315.35
| | 315.35
| style="text-align:center;" | 1054.452
| | 1054.452
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 68\175
| | 68\175
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 29 10 29
| | 29 10 29
| style="text-align:center;" | 739.045
| | 739.045
| style="text-align:center;" | 1478.091
| | 1478.091
| style="text-align:center;" | 315.181
| | 315.181
| style="text-align:center;" | 1054.227
| | 1054.227
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 61/157
| | 61/157
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 26 9 26
| | 26 9 26
| style="text-align:center;" | 738.976
| | 738.976
| style="text-align:center;" | 1477.952
| | 1477.952
| style="text-align:center;" | 314.973
| | 314.973
| style="text-align:center;" | 1053.949
| | 1053.949
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 54\139
| | 54\139
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 23 8 23
| | 23 8 23
| style="text-align:center;" | 738.889
| | 738.889
| style="text-align:center;" | 1477.778
| | 1477.778
| style="text-align:center;" | 314.712
| | 314.712
| style="text-align:center;" | 1053.601
| | 1053.601
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 47\121
| | 47\121
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 20 7 20
| | 20 7 20
| style="text-align:center;" | 738.776
| | 738.776
| style="text-align:center;" | 1477.552
| | 1477.552
| style="text-align:center;" | 314.373
| | 314.373
| style="text-align:center;" | 1053.149
| | 1053.149
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 40\103
| | 40\103
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 17 6 17
| | 17 6 17
| style="text-align:center;" | 738.623
| | 738.623
| style="text-align:center;" | 1477.247
| | 1477.247
| style="text-align:center;" | 313.915
| | 313.915
| style="text-align:center;" | 1052.538
| | 1052.538
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 33\85
| | 33\85
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 14 5 14
| | 14 5 14
| style="text-align:center;" | 738.406
| | 738.406
| style="text-align:center;" | 1476.812
| | 1476.812
| style="text-align:center;" | 313.263
| | 313.263
| style="text-align:center;" | 1051.669
| | 1051.669
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 26\67
| | 26\67
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 4 11
| | 11 4 11
| style="text-align:center;" | 738.072
| | 738.072
| style="text-align:center;" | 1476.144
| | 1476.144
| style="text-align:center;" | 312.261
| | 312.261
| style="text-align:center;" | 1050.333
| | 1050.333
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | e 1 e
| | e 1 e
| style="text-align:center;" | 737.855
| | 737.855
| style="text-align:center;" | 1478.71
| | 1478.71
| style="text-align:center;" | 311.61
| | 311.61
| style="text-align:center;" | 1049.465
| | 1049.465
| style="text-align:center;" | L/s = e
| | L/s = e
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 19\49
| | 19\49
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 8 3 8
| | 8 3 8
| style="text-align:center;" | 737.493
| | 737.493
| style="text-align:center;" | 1474.986
| | 1474.986
| style="text-align:center;" | 310.523
| | 310.523
| style="text-align:center;" | 1048.016
| | 1048.016
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 164\423
| | 164\423
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 69 26 69
| | 69 26 69
| style="text-align:center;" | 737.401
| | 737.401
| style="text-align:center;" | 1474.802
| | 1474.802
| style="text-align:center;" | 310.248
| | 310.248
| style="text-align:center;" | 1047.649
| | 1047.649
| style="text-align:center;" | 3g=18/5 minus quarter comma near here
| | 3g=18/5 minus quarter comma near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 145\374
| | 145\374
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 61 23 61
| | 61 23 61
| style="text-align:center;" | 737.389
| | 737.389
| style="text-align:center;" | 1474.778
| | 1474.778
| style="text-align:center;" | 310.212
| | 310.212
| style="text-align:center;" | 1047.601
| | 1047.601
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 126\325
| | 126\325
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 53 20 53
| | 53 20 53
| style="text-align:center;" | 737.373
| | 737.373
| style="text-align:center;" | 1474.747
| | 1474.747
| style="text-align:center;" | 310.165
| | 310.165
| style="text-align:center;" | 1047.538
| | 1047.538
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 107\276
| | 107\276
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 45 17 45
| | 45 17 45
| style="text-align:center;" | 737.352
| | 737.352
| style="text-align:center;" | 1474.704
| | 1474.704
| style="text-align:center;" | 310.101
| | 310.101
| style="text-align:center;" | 1047.453
| | 1047.453
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 88\227
| | 88\227
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 37 14 37
| | 37 14 37
| style="text-align:center;" | 737.322
| | 737.322
| style="text-align:center;" | 1474.644
| | 1474.644
| style="text-align:center;" | 310.01
| | 310.01
| style="text-align:center;" | 1047.332
| | 1047.332
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 69\178
| | 69\178
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 29 11 29
| | 29 11 29
| style="text-align:center;" | 737.275
| | 737.275
| style="text-align:center;" | 1474.549
| | 1474.549
| style="text-align:center;" | 309.869
| | 309.869
| style="text-align:center;" | 1047.144
| | 1047.144
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 50\129
| | 50\129
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 21 8 21
| | 21 8 21
| style="text-align:center;" | 737.192
| | 737.192
| style="text-align:center;" | 1474.384
| | 1474.384
| style="text-align:center;" | 309.621
| | 309.621
| style="text-align:center;" | 1046.812
| | 1046.812
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 131\338
| | 131\338
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 55 21 55
| | 55 21 55
| style="text-align:center;" | 737.148
| | 737.148
| style="text-align:center;" | 1474.296
| | 1474.296
| style="text-align:center;" | 309.49
| | 309.49
| style="text-align:center;" | 1046.638
| | 1046.638
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 212\547
| | 212\547
| style="text-align:center;" | 89 34 89
| | 89 34 89
| style="text-align:center;" | 737.138
| | 737.138
| style="text-align:center;" | 1474.276
| | 1474.276
| style="text-align:center;" | 309.459
| | 309.459
| style="text-align:center;" | 1046.597
| | 1046.597
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 81\209
| | 81\209
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 34 13 34
| | 34 13 34
| style="text-align:center;" | 737.121
| | 737.121
| style="text-align:center;" | 1474.243
| | 1474.243
| style="text-align:center;" | 309.409
| | 309.409
| style="text-align:center;" | 1046.53
| | 1046.53
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 31\80
| | 31\80
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 5 13
| | 13 5 13
| style="text-align:center;" | 737.008
| | 737.008
| style="text-align:center;" | 1474.015
| | 1474.015
| style="text-align:center;" | 309.068
| | 309.068
| style="text-align:center;" | 1046.075
| | 1046.075
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 12\31
| | 12\31
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 5 2 5
| | 5 2 5
| style="text-align:center;" | 736.241
| | 736.241
| style="text-align:center;" | 1472.481
| | 1472.481
| style="text-align:center;" | 306.767
| | 306.767
| style="text-align:center;" | 1043.007
| | 1043.007
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | <span style="background-color: #ffffff;">1+√2 1 1+√2</span>
| | 1+√2 1 1+√2
| style="text-align:center;" | 735.542
| | 735.542
| style="text-align:center;" | 1471.084
| | 1471.084
| style="text-align:center;" | 304.6715
| | 304.6715
| style="text-align:center;" | 1040.214
| | 1040.214
| style="text-align:center;" | Silver false father
| | Silver false father
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 17\44
| | 17\44
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 7 3 7
| | 7 3 7
| style="text-align:center;" | 734.846
| | 734.846
| style="text-align:center;" | 1469.693
| | 1469.693
| style="text-align:center;" | 302.584
| | 302.584
| style="text-align:center;" | 1037.41
| | 1037.41
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 22\57
| | 22\57
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 9 4 9
| | 9 4 9
| style="text-align:center;" | 734.088
| | 734.088
| style="text-align:center;" | 1468.176
| | 1468.176
| style="text-align:center;" | 300.309
| | 300.309
| style="text-align:center;" | 1034.397
| | 1034.397
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 27\70
| | 27\70
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 5 11
| | 11 5 11
| style="text-align:center;" | 733.611
| | 733.611
| style="text-align:center;" | 1467.222
| | 1467.222
| style="text-align:center;" | 298.879
| | 298.879
| style="text-align:center;" | 1032.49
| | 1032.49
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 59\153
| | 59\153
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 24 11 24
| | 24 11 24
| style="text-align:center;" | 733.434
| | 733.434
| style="text-align:center;" | 1466.867
| | 1466.867
| style="text-align:center;" | 298.346
| | 298.346
| style="text-align:center;" | 1031.779
| | 1031.779
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 32\83
| | 32\83
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 6 13
| | 13 6 13
| style="text-align:center;" | 733.284
| | 733.284
| style="text-align:center;" | 1466.568
| | 1466.568
| style="text-align:center;" | 297.897
| | 297.897
| style="text-align:center;" | 1031.181
| | 1031.181
| style="text-align:center;" | 2g=7/3 near here
| | 2g=7/3 near here
|-
|-
| style="text-align:center;" | 5\13
| | 5\13
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 2 1 2
| | 2 1 2
| style="text-align:center;" | 731.521
| | 731.521
| style="text-align:center;" | 1463.042
| | 1463.042
| style="text-align:center;" | 292.609
| | 292.609
| style="text-align:center;" | 1024.13
| | 1024.13
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 53\138
| | 53\138
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 21 11 21
| | 21 11 21
| style="text-align:center;" | 730.461
| | 730.461
| style="text-align:center;" | 1460.922
| | 1460.922
| style="text-align:center;" | 289.428
| | 289.428
| style="text-align:center;" | 1018.889
| | 1018.889
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 101\263
| | 101\263
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 40 21 40
| | 40 21 40
| style="text-align:center;" | 730.409
| | 730.409
| style="text-align:center;" | 1460.817
| | 1460.817
| style="text-align:center;" | 289.271
| | 289.271
| style="text-align:center;" | 1019.679
| | 1019.679
| style="text-align:center;" | 3g=39/11 near here
| | 3g=39/11 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 48\125
| | 48\125
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 19 10 19
| | 19 10 19
| style="text-align:center;" | 730.35
| | 730.35
| style="text-align:center;" | 1460.701
| | 1460.701
| style="text-align:center;" | 289.097
| | 289.097
| style="text-align:center;" | 1019.448
| | 1019.448
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 43\112
| | 43\112
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 17 9 17
| | 17 9 17
| style="text-align:center;" | 730.215
| | 730.215
| style="text-align:center;" | 1460.43
| | 1460.43
| style="text-align:center;" | 288.69
| | 288.69
| style="text-align:center;" | 1018.905
| | 1018.905
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 38\99
| | 38\99
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 15 8 15
| | 15 8 15
| style="text-align:center;" | 730.043
| | 730.043
| style="text-align:center;" | 1460.087
| | 1460.087
| style="text-align:center;" | 288.175
| | 288.175
| style="text-align:center;" | 1018.218
| | 1018.218
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 71\185
| | 71\185
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 28 15 28
| | 28 15 28
| style="text-align:center;" | 729.9395
| | 729.9395
| style="text-align:center;" | 1459.879
| | 1459.879
| style="text-align:center;" | 287.8635
| | 287.8635
| style="text-align:center;" | 1017.803
| | 1017.803
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 104\271
| | 104\271
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 41 22 41
| | 41 22 41
| style="text-align:center;" | 729.902
| | 729.902
| style="text-align:center;" | 1459.803
| | 1459.803
| style="text-align:center;" | 287.75
| | 287.75
| style="text-align:center;" | 1017.651
| | 1017.651
| style="text-align:center;" | 4g=27/5 near here
| | 4g=27/5 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 33\86
| | 33\86
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 7 13
| | 13 7 13
| style="text-align:center;" | 729.82
| | 729.82
| style="text-align:center;" | 1459.64
| | 1459.64
| style="text-align:center;" | 287.505
| | 287.505
| style="text-align:center;" | 1017.325
| | 1017.325
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 28\73
| | 28\73
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 6 11
| | 11 6 11
| style="text-align:center;" | 729.547
| | 729.547
| style="text-align:center;" | 1459.034
| | 1459.034
| style="text-align:center;" | 286.596
| | 286.596
| style="text-align:center;" | 1016.113
| | 1016.113
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 23\60
| | 23\60
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 9 5 9
| | 9 5 9
| style="text-align:center;" | 729.083
| | 729.083
| style="text-align:center;" | 1458.1655
| | 1458.1655
| style="text-align:center;" | 285.293
| | 285.293
| style="text-align:center;" | 1014.376
| | 1014.376
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 41\107
| | 41\107
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 16 9 16
| | 16 9 16
| style="text-align:center;" | 728.7865
| | 728.7865
| style="text-align:center;" | 1457.573
| | 1457.573
| style="text-align:center;" | 284.4045
| | 284.4045
| style="text-align:center;" | 1013.191
| | 1013.191
| style="text-align:center;" | 3g=99/28 near here
| | 3g=99/28 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 59\154
| | 59\154
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 23 13 23
| | 23 13 23
| style="text-align:center;" | 728.671
| | 728.671
| style="text-align:center;" | 1457.342
| | 1457.342
| style="text-align:center;" | 284.058
| | 284.058
| style="text-align:center;" | 1012.729
| | 1012.729
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 77\201
| | 77\201
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 30 17 30
| | 30 17 30
| style="text-align:center;" | 728.61
| | 728.61
| style="text-align:center;" | 1457.219
| | 1457.219
| style="text-align:center;" | 283.874
| | 283.874
| style="text-align:center;" | 1012.483
| | 1012.483
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 95\248
| | 95\248
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 37 21 37
| | 37 21 37
| style="text-align:center;" | 728.5715
| | 728.5715
| style="text-align:center;" | 1457.143
| | 1457.143
| style="text-align:center;" | 283.7595
| | 283.7595
| style="text-align:center;" | 1012.331
| | 1012.331
| style="text-align:center;" | Golden BP is index-2 near here
| | Golden BP is index-2 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 18\47
| | 18\47
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 7 4 7
| | 7 4 7
| style="text-align:center;" | 728.408
| | 728.408
| style="text-align:center;" | 1456.817
| | 1456.817
| style="text-align:center;" | 283.27
| | 283.27
| style="text-align:center;" | 1011.678
| | 1011.678
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | <span style="background-color: #ffffff;">√3 1 √3</span>
| | √3 1 √3
| style="text-align:center;" | 728.159
| | 728.159
| style="text-align:center;" | 1456.318
| | 1456.318
| style="text-align:center;" | 282.522
| | 282.522
| style="text-align:center;" | 1010.6815
| | 1010.6815
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 49\128
| | 49\128
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 19 11 19
| | 19 11 19
| style="text-align:center;" | 728.092
| | 728.092
| style="text-align:center;" | 1456.184
| | 1456.184
| style="text-align:center;" | 282.321
| | 282.321
| style="text-align:center;" | 1010.413
| | 1010.413
| style="text-align:center;" | 4g=27/5 minus third comma near here
| | 4g=27/5 minus third comma near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 31\81
| | 31\81
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 12 7 12
| | 12 7 12
| style="text-align:center;" | 727.909
| | 727.909
| style="text-align:center;" | 1455.817
| | 1455.817
| style="text-align:center;" | 281.771
| | 281.771
| style="text-align:center;" | 1009.68
| | 1009.68
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13\34
| | 13\34
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 5 3 5
| | 5 3 5
| style="text-align:center;" | 727.218
| | 727.218
| style="text-align:center;" | 1454.436
| | 1454.436
| style="text-align:center;" | 279.699
| | 279.699
| style="text-align:center;" | 1006.917
| | 1006.917
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 34\89
| | 34\89
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 8 13
| | 13 8 13
| style="text-align:center;" | 726.59
| | 726.59
| style="text-align:center;" | 1453.179
| | 1453.179
| style="text-align:center;" | 277.814
| | 277.814
| style="text-align:center;" | 1004.403
| | 1004.403
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 89\233
| | 89\233
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 34 21 34
| | 34 21 34
| style="text-align:center;" | 726.498
| | 726.498
| style="text-align:center;" | 1452.996
| | 1452.996
| style="text-align:center;" | 277.538
| | 277.538
| style="text-align:center;" | 1004.036
| | 1004.036
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 233\610
| | 233\610
| style="text-align:center;" | 89 55 89
| | 89 55 89
| style="text-align:center;" | 726.4845
| | 726.4845
| style="text-align:center;" | 1452.969
| | 1452.969
| style="text-align:center;" | 277.4985
| | 277.4985
| style="text-align:center;" | 1003.983
| | 1003.983
| style="text-align:center;" | Golden false father
| | Golden false father
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 144\377
| | 144\377
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 55 34 55
| | 55 34 55
| style="text-align:center;" | 726.476
| | 726.476
| style="text-align:center;" | 1452.952
| | 1452.952
| style="text-align:center;" | 277.473
| | 277.473
| style="text-align:center;" | 1003.95
| | 1003.95
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 55\144
| | 55\144
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 21 13 21
| | 21 13 21
| style="text-align:center;" | 726.441
| | 726.441
| style="text-align:center;" | 1452.882
| | 1452.882
| style="text-align:center;" | 277.368
| | 277.368
| style="text-align:center;" | 1003.809
| | 1003.809
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 21\55
| | 21\55
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 8 5 8
| | 8 5 8
| style="text-align:center;" | 726.201
| | 726.201
| style="text-align:center;" | 1452.402
| | 1452.402
| style="text-align:center;" | 276.468
| | 276.468
| style="text-align:center;" | 1002.849
| | 1002.849
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | pi 2 pi
| | pi 2 pi
| style="text-align:center;" | 725.736
| | 725.736
| style="text-align:center;" | 1451.472
| | 1451.472
| style="text-align:center;" | 275.252
| | 275.252
| style="text-align:center;" | 1000.988
| | 1000.988
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 8\21
| | 8\21
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 3 2 3
| | 3 2 3
| style="text-align:center;" | 724.554
| | 724.554
| style="text-align:center;" | 1449.109
| | 1449.109
| style="text-align:center;" | 271.708
| | 271.708
| style="text-align:center;" | 996.226
| | 996.226
| style="text-align:center;" | Optimum rank range (L/s=3/2) false father
| | Optimum rank range (L/s=3/2) false father
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | ~543 361 543
| | ~543 361 543
| style="text-align:center;" | 724.511
| | 724.511
| style="text-align:center;" | 1449.022
| | 1449.022
| style="text-align:center;" | 271.579
| | 271.579
| style="text-align:center;" | 996.09
| | 996.09
| style="text-align:center;" | 4g=16/3
| | 4g=16/3
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 27\71
| | 27\71
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 10 7 10
| | 10 7 10
| style="text-align:center;" | 723.279
| | 723.279
| style="text-align:center;" | 1446.557
| | 1446.557
| style="text-align:center;" | 267.881
| | 267.881
| style="text-align:center;" | 991.16
| | 991.16
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 46\121
| | 46\121
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 17 12 17
| | 17 12 17
| style="text-align:center;" | 723.057
| | 723.057
| style="text-align:center;" | 1446.115
| | 1446.115
| style="text-align:center;" | 267.217
| | 267.217
| style="text-align:center;" | 990.274
| | 990.274
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 65\171
| | 65\171
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 24 17 24
| | 24 17 24
| style="text-align:center;" | 722.965
| | 722.965
| style="text-align:center;" | 1445.931
| | 1445.931
| style="text-align:center;" | 266.941
| | 266.941
| style="text-align:center;" | 989.907
| | 989.907
| style="text-align:center;" | 3g=7/2 near here
| | 3g=7/2 near here
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 19\50
| | 19\50
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 7 5 7
| | 7 5 7
| style="text-align:center;" | 722.743
| | 722.743
| style="text-align:center;" | 1445.486
| | 1445.486
| style="text-align:center;" | 266.274
| | 266.274
| style="text-align:center;" | 989.017
| | 989.017
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 11\29
| | 11\29
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 4 3 4
| | 4 3 4
| style="text-align:center;" | 721.431
| | 721.431
| style="text-align:center;" | 1442.862
| | 1442.862
| style="text-align:center;" | 262.338
| | 262.338
| style="text-align:center;" | 983.77
| | 983.77
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 25\66
| | 25\66
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 9 7 9
| | 9 7 9
| style="text-align:center;" | 720.4375
| | 720.4375
| style="text-align:center;" | 1440.875
| | 1440.875
| style="text-align:center;" | 259.3575
| | 259.3575
| style="text-align:center;" | 979.795
| | 979.795
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 64\169
| | 64\169
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 23 18 23
| | 23 18 23
| style="text-align:center;" | 720.267
| | 720.267
| style="text-align:center;" | 1440.534
| | 1440.534
| style="text-align:center;" | 258.848
| | 258.848
| style="text-align:center;" | 979.113
| | 979.113
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 167\441
| | 167\441
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 60 47 60
| | 60 47 60
| style="text-align:center;" | 720.2415
| | 720.2415
| style="text-align:center;" | 1440.483
| | 1440.483
| style="text-align:center;" | 258.7965
| | 258.7965
| style="text-align:center;" | 979.001
| | 979.001
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 437\1154
| | 437\1154
| style="text-align:center;" | 157 123 157
| | 157 123 157
| style="text-align:center;" | 720.238
| | 720.238
| style="text-align:center;" | 1440.475
| | 1440.475
| style="text-align:center;" | 258.758
| | 258.758
| style="text-align:center;" | 978.996
| | 978.996
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 270\713
| | 270\713
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 97 76 97
| | 97 76 97
| style="text-align:center;" | 720.235
| | 720.235
| style="text-align:center;" | 1440.471
| | 1440.471
| style="text-align:center;" | 258.751
| | 258.751
| style="text-align:center;" | 978.987
| | 978.987
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 103\272
| | 103\272
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 37 29 37
| | 37 29 37
| style="text-align:center;" | 720.226
| | 720.226
| style="text-align:center;" | 1440.451
| | 1440.451
| style="text-align:center;" | 258.722
| | 258.722
| style="text-align:center;" | 978.947
| | 978.947
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 39\103
| | 39\103
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 14 11 14
| | 14 11 14
| style="text-align:center;" | 720.158
| | 720.158
| style="text-align:center;" | 1440.315
| | 1440.315
| style="text-align:center;" | 258.518
| | 258.518
| style="text-align:center;" | 978.676
| | 978.676
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 14\37
| | 14\37
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 5 4 5
| | 5 4 5
| style="text-align:center;" | 719.659
| | 719.659
| style="text-align:center;" | 1439.317
| | 1439.317
| style="text-align:center;" | 257.021
| | 257.021
| style="text-align:center;" | 976.679
| | 976.679
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 31\82
| | 31\82
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 9 11
| | 11 9 11
| style="text-align:center;" | 719.032
| | 719.032
| style="text-align:center;" | 1438.064
| | 1438.064
| style="text-align:center;" | 255.14
| | 255.14
| style="text-align:center;" | 974.172
| | 974.172
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 79\209
| | 79\209
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 28 23 28
| | 28 23 28
| style="text-align:center;" | 718.921
| | 718.921
| style="text-align:center;" | 1437.842
| | 1437.842
| style="text-align:center;" | 254.807
| | 254.807
| style="text-align:center;" | 973.728
| | 973.728
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 206\545
| | 206\545
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 73 60 73
| | 73 60 73
| style="text-align:center;" | 718.904
| | 718.904
| style="text-align:center;" | 1437.808
| | 1437.808
| style="text-align:center;" | 254.757
| | 254.757
| style="text-align:center;" | 973.661
| | 973.661
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 539\1426
| | 539\1426
| style="text-align:center;" | 191 117 191
| | 191 117 191
| style="text-align:center;" | 718.902
| | 718.902
| style="text-align:center;" | 1437.803
| | 1437.803
| style="text-align:center;" | 254.75
| | 254.75
| style="text-align:center;" | 973.652
| | 973.652
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 333\881
| | 333\881
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 118 97 118
| | 118 97 118
| style="text-align:center;" | 718.90
| | 718.90
| style="text-align:center;" | 1437.80
| | 1437.80
| style="text-align:center;" | 254.745
| | 254.745
| style="text-align:center;" | 973.6455
| | 973.6455
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 127\336
| | 127\336
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 45 37 45
| | 45 37 45
| style="text-align:center;" | 718.893
| | 718.893
| style="text-align:center;" | 1437.787
| | 1437.787
| style="text-align:center;" | 254.726
| | 254.726
| style="text-align:center;" | 973.619
| | 973.619
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 48\127
| | 48\127
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 17 14 17
| | 17 14 17
| style="text-align:center;" | 718.849
| | 718.849
| style="text-align:center;" | 1437.698
| | 1437.698
| style="text-align:center;" | 254.592
| | 254.592
| style="text-align:center;" | 973.441
| | 973.441
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 17\45
| | 17\45
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 6 5 6
| | 6 5 6
| style="text-align:center;" | 718.516
| | 718.516
| style="text-align:center;" | 1437.032
| | 1437.032
| style="text-align:center;" | 253.549
| | 253.549
| style="text-align:center;" | 972.11
| | 972.11
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 20\53
| | 20\53
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 7 6 7
| | 7 6 7
| style="text-align:center;" | 717.719
| | 717.719
| style="text-align:center;" | 1435.438
| | 1435.438
| style="text-align:center;" | 251.202
| | 251.202
| style="text-align:center;" | 968.9205
| | 968.9205
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | ~401 344 401
| | ~401 344 401
| style="text-align:center;" | 717.695
| | 717.695
| style="text-align:center;" | 1435.3905
| | 1435.3905
| style="text-align:center;" | 251.131
| | 251.131
| style="text-align:center;" | 968.826
| | 968.826
| style="text-align:center;" | 4g=21/4
| | 4g=21/4
|-
|-
| style="text-align:center;" | 23\61
| | 23\61
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 8 7 8
| | 8 7 8
| style="text-align:center;" | 717.131
| | 717.131
| style="text-align:center;" | 1434.261
| | 1434.261
| style="text-align:center;" | 249.437
| | 249.437
| style="text-align:center;" | 966.567
| | 966.567
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | ~6682 5875 6682
| | ~6682 5875 6682
| style="text-align:center;" | 716.9925
| | 716.9925
| style="text-align:center;" | 1433.985
| | 1433.985
| style="text-align:center;" | 249.0225
| | 249.0225
| style="text-align:center;" | 966.015
| | 966.015
| style="text-align:center;" | 6g=12
| | 6g=12
|-
|-
| style="text-align:center;" | 26\69
| | 26\69
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 9 8 9
| | 9 8 9
| style="text-align:center;" | 716.679
| | 716.679
| style="text-align:center;" | 1433.357
| | 1433.357
| style="text-align:center;" | 248.081
| | 248.081
| style="text-align:center;" | 964.76
| | 964.76
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 29\77
| | 29\77
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 10 9 10
| | 10 9 10
| style="text-align:center;" | 716.321
| | 716.321
| style="text-align:center;" | 1432.641
| | 1432.641
| style="text-align:center;" | 247.007
| | 247.007
| style="text-align:center;" | 963.328
| | 963.328
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 32\85
| | 32\85
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 11 10 11
| | 11 10 11
| style="text-align:center;" | 716.03
| | 716.03
| style="text-align:center;" | 1432.06
| | 1432.06
| style="text-align:center;" | 246.135
| | 246.135
| style="text-align:center;" | 962.1655
| | 962.1655
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 35\93
| | 35\93
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 12 11 12
| | 12 11 12
| style="text-align:center;" | 715.7895
| | 715.7895
| style="text-align:center;" | 1431.759
| | 1431.759
| style="text-align:center;" | 245.4135
| | 245.4135
| style="text-align:center;" | 961.203
| | 961.203
| style="text-align:center;" |  
| |  
|-
|-
| style="text-align:center;" | 38/101
| | 38/101
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 13 12 13
| | 13 12 13
| style="text-align:center;" | 715.587
| | 715.587
| style="text-align:center;" | 1431.174
| | 1431.174
| style="text-align:center;" | 244.806
| | 244.806
| style="text-align:center;" | 960.393
| | 960.393
| style="text-align:center;" | 2g=16\7 near here
| | 2g=16\7 near here
|-
|-
| style="text-align:center;" | 3\8
| | 3\8
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" |  
| |  
| style="text-align:center;" | 1 1 1
| | 1 1 1
| style="text-align:center;" | 713.233
| | 713.233
| style="text-align:center;" | 1426.466
| | 1426.466
| style="text-align:center;" | 237.744
| | 237.744
| style="text-align:center;" | 950.9775
| | 950.9775
| style="text-align:center;" |  
| |  
|}
|}
.
 
[[Category:mos]]
[[Category:mos]]
Retrieved from "https://en.xen.wiki/w/5L_3s"