User:Contribution/No-Twos (31-Limit Factor Gradient) x (Infinite Tritaves) Table

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Purpose

See here.

Content

For each interval, you'll find: its factorization, its just ratio, its Functional Just System notation and its cents value. Intervals outside the human hearing range (10 octaves) are ignored.

Table

Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
Limit Boundary

~~

17-31-limit
3-9⋅311

31/19683

-10cm631

-11172.559435324
3-8⋅311

31/6561

-8cm331

-9270.604434459
3-7⋅311

31/2187

-7cm731

-7368.649433593
3-6⋅311

31/729

-5cP431

-5466.694432728
3-5⋅311

31/243

-3cP131

-3564.739431863
3-4⋅311

31/81

-2cP531

-1662.784430997
3-3⋅311

31/27

M231

239.170569868
3-2⋅311

31/9

cM631

2141.125570733
3-1⋅311

31/3

3cM331

4043.080571599
311

31/1

4cM731

5945.035572464
31⋅311

93/1

6cA431

7846.990573330
32⋅311

279/1

8cA131

9748.945574195
33⋅311

837/1

9cA531

11650.900575060
3-9⋅291

29/19683

-10cd629

-11288.017813635
3-8⋅291

29/6561

-8cd329

-9386.062812770
3-7⋅291

29/2187

-7cd729

-7484.107811905
3-6⋅291

29/729

-5cd429

-5582.152811039
3-5⋅291

29/243

-4cd829

-3680.197810174
3-4⋅291

29/81

-2cd529

-1778.242809308
3-3⋅291

29/27

m229

123.712191557
3-2⋅291

29/9

cm629

2025.667192422
3-1⋅291

29/3

3cm329

3927.622193288
291

29/1

4cm729

5829.577194153
31⋅291

87/1

6cP429

7731.532195018
32⋅291

261/1

8cP129

9633.487195884
33⋅291

783/1

9cP529

11535.442196749
3-9⋅231

23/19683

-10cm323

-11689.320660520
3-8⋅231

23/6561

-9cm723

-9787.365659655
3-7⋅231

23/2187

-7cP423

-7885.410658789
3-6⋅231

23/729

-5cP123

-5983.455657924
3-5⋅231

23/243

-4cP523

-4081.500657059
3-4⋅231

23/81

-2cM223

-2179.545656193
3-3⋅231

23/27

-cM623

-277.590655328
3-2⋅231

23/9

cM323

1624.364345538
3-1⋅231

23/3

2cM723

3526.319346403
231

23/1

4cA423

5428.274347268
31⋅231

69/1

6cA123

7330.229348134
32⋅231

207/1

7cA523

9232.184348999
33⋅231

621/1

9cA223

11134.139349865
3-8⋅191

19/6561

-9cd619

-10118.126990791
3-7⋅191

19/2187

-7cd319

-8216.171989925
3-6⋅191

19/729

-6cd719

-6314.216989060
3-5⋅191

19/243

-4cd419

-4412.261988195
3-4⋅191

19/81

-3cd819

-2510.306987329
3-3⋅191

19/27

-cd519

-608.351986464
3-2⋅191

19/9

cm219

1293.603014402
3-1⋅191

19/3

2cm619

3195.558015267
191

19/1

4cm319

5097.513016132
31⋅191

57/1

5cm719

6999.468016998
32⋅191

171/1

7cP419

8901.423017863
33⋅191

513/1

9cP119

10803.378018728
3-8⋅171

17/6561

-9cdd517

-10310.684597423
3-7⋅171

17/2187

-7cd217

-8408.729596557
3-6⋅171

17/729

-6cd617

-6506.774595692
3-5⋅171

17/243

-4cd317

-4604.819594827
3-4⋅171

17/81

-3cd717

-2702.864593961
3-3⋅171

17/27

-cd417

-800.909593096
3-2⋅171

17/9

d817

1101.045407770
3-1⋅171

17/3

2cd517

3003.000408635
171

17/1

4cm217

4904.955409500
31⋅171

51/1

5cm617

6806.910410366
32⋅171

153/1

7cm317

8708.865411231
33⋅171

459/1

8cm717

10610.820412097
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
17-31-limit

~~

Limit Boundary

~~

13-limit
3-10⋅132

169/59049

-9cdd613,13

-10138.494685115
3-9⋅132

169/19683

-7cdd313,13

-8236.539684250
3-8⋅132

169/6561

-6cdd713,13

-6334.584683384
3-7⋅132

169/2187

-4cdd413,13

-4432.629682519
3-6⋅132

169/729

-3cdd813,13

-2530.674681654
3-5⋅132

169/243

-cdd513,13

-628.719680788
3-4⋅132

169/81

cd213,13

1273.235320077
3-3⋅132

169/27

2cd613,13

3175.190320942
3-2⋅132

169/9

4cd313,13

5077.145321808
3-1⋅132

169/3

5cd713,13

6979.100322673
132

169/1

7cd413,13

8881.055323539
31⋅132

507/1

8cd813,13

10783.010324404
3-6⋅11-1⋅131

13/8019

-10cd71311

-11122.520285788
3-5⋅11-1⋅131

13/2673

-8cd41311

-9220.565284922
3-4⋅11-1⋅131

13/891

-7cd81311

-7318.610284057
3-3⋅11-1⋅131

13/297

-5cd51311

-5416.655283192
3-2⋅11-1⋅131

13/99

-3cm21311

-3514.700282326
3-1⋅11-1⋅131

13/33

-2cm61311

-1612.745281461
11-1⋅131

13/11

m31311

289.209719405
31⋅11-1⋅131

39/11

cm71311

2191.164720270
32⋅11-1⋅131

117/11

3cP41311

4093.119721135
33⋅11-1⋅131

351/11

5cP11311

5995.074722001
34⋅11-1⋅131

1053/11

6cP51311

7897.029722866
35⋅11-1⋅131

3159/11

8cM21311

9798.984723731
36⋅11-1⋅131

9477/11

9cM61311

11700.939724597
3-10⋅111⋅131

143/59049

-9cdd411,13

-10427.704404520
3-9⋅111⋅131

143/19683

-8cdd811,13

-8525.749403654
3-8⋅111⋅131

143/6561

-6cdd511,13

-6623.794402789
3-7⋅111⋅131

143/2187

-4cd211,13

-4721.839401924
3-6⋅111⋅131

143/729

-3cd611,13

-2819.884401058
3-5⋅111⋅131

143/243

-cd311,13

-917.929400193
3-4⋅111⋅131

143/81

d711,13

984.025600673
3-3⋅111⋅131

143/27

2cd411,13

2885.980601538
3-2⋅111⋅131

143/9

3cd811,13

4787.935602403
3-1⋅111⋅131

143/3

5cd511,13

6689.890603269
111⋅131

143/1

7cm211,13

8591.845604134
31⋅111⋅131

429/1

8cm611,13

10493.800604999
3-6⋅7-1⋅131

13/5103

-9cd4137

-10340.028249892
3-5⋅7-1⋅131

13/1701

-8cd8137

-8438.073249027
3-4⋅7-1⋅131

13/567

-6cd5137

-6536.118248161
3-3⋅7-1⋅131

13/189

-4cm2137

-4634.163247296
3-2⋅7-1⋅131

13/63

-3cm6137

-2732.208246431
3-1⋅7-1⋅131

13/21

-cm3137

-830.253245565
7-1⋅131

13/7

m7137

1071.701755300
31⋅7-1⋅131

39/7

2cP4137

2973.656756166
32⋅7-1⋅131

117/7

4cP1137

4875.611757031
33⋅7-1⋅131

351/7

5cP5137

6777.566757896
34⋅7-1⋅131

1053/7

7cM2137

8679.521758762
35⋅7-1⋅131

3159/7

8cM6137

10581.476759627
3-10⋅71⋅131

91/59049

-10cdd77,13

-11210.196440415
3-9⋅71⋅131

91/19683

-8cdd47,13

-9308.241439550
3-8⋅71⋅131

91/6561

-7cdd87,13

-7406.286438685
3-7⋅71⋅131

91/2187

-5cdd57,13

-5504.331437819
3-6⋅71⋅131

91/729

-3cd27,13

-3602.376436954
3-5⋅71⋅131

91/243

-2cd67,13

-1700.421436089
3-4⋅71⋅131

91/81

d37,13

201.533564777
3-3⋅71⋅131

91/27

cd77,13

2103.488565642
3-2⋅71⋅131

91/9

3cd47,13

4005.443566508
3-1⋅71⋅131

91/3

4cd87,13

5907.398567373
71⋅131

91/1

6cd57,13

7809.353568238
31⋅71⋅131

273/1

8cm27,13

9711.308569104
32⋅71⋅131

819/1

9cm67,13

11613.263569969
3-7⋅5-1⋅131

13/10935

-10cdd4135

-11659.471058153
3-6⋅5-1⋅131

13/3645

-9cdd8135

-9757.516057288
3-5⋅5-1⋅131

13/1215

-7cdd5135

-7855.561056422
3-4⋅5-1⋅131

13/405

-5cd2135

-5953.606055557
3-3⋅5-1⋅131

13/135

-4cd6135

-4051.651054692
3-2⋅5-1⋅131

13/45

-2cd3135

-2149.696053826
3-1⋅5-1⋅131

13/15

-cd7135

-247.741052961
5-1⋅131

13/5

cd4135

1654.213947904
31⋅5-1⋅131

39/5

2cd8135

3556.168948770
32⋅5-1⋅131

117/5

4cd5135

5458.123949635
33⋅5-1⋅131

351/5

6cm2135

7360.078950501
34⋅5-1⋅131

1053/5

7cm6135

9262.033951366
35⋅5-1⋅131

3159/5

9cm3135

11163.988952231
3-10⋅51⋅131

65/59049

-10cd35,13

-11792.708633020
3-9⋅51⋅131

65/19683

-9cd75,13

-9890.753632154
3-8⋅51⋅131

65/6561

-7cd45,13

-7988.798631289
3-7⋅51⋅131

65/2187

-6cd85,13

-6086.843630424
3-6⋅51⋅131

65/729

-4cd55,13

-4184.888629558
3-5⋅51⋅131

65/243

-2cm25,13

-2282.933628693
3-4⋅51⋅131

65/81

-cm65,13

-380.978627827
3-3⋅51⋅131

65/27

cm35,13

1520.976373038
3-2⋅51⋅131

65/9

2cm75,13

3422.931373903
3-1⋅51⋅131

65/3

4cP45,13

5324.886374769
51⋅131

65/1

6cP15,13

7226.841375634
31⋅51⋅131

195/1

7cP55,13

9128.796376500
32⋅51⋅131

585/1

9cM25,13

11030.751377365
3-8⋅131

13/6561

-9cd213

-10775.112345154
3-7⋅131

13/2187

-8cd613

-8873.157344288
3-6⋅131

13/729

-6cd313

-6971.202343423
3-5⋅131

13/243

-5cd713

-5069.247342558
3-4⋅131

13/81

-3cd413

-3167.292341692
3-3⋅131

13/27

-2cd813

-1265.337340827
3-2⋅131

13/9

d513

636.617660039
3-1⋅131

13/3

2cm213

2538.572660904
131

13/1

3cm613

4440.527661769
31⋅131

39/1

5cm313

6342.482662635
32⋅131

117/1

6cm713

8244.437663500
33⋅131

351/1

8cP413

10146.392664365
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
13-limit

~~

Limit Boundary

~~

11-limit
3-10⋅112

121/59049

-9cd211,11

-10716.914123924
3-9⋅112

121/19683

-8cd611,11

-8814.959123059
3-8⋅112

121/6561

-6cd311,11

-6913.004122194
3-7⋅112

121/2187

-5cd711,11

-5011.049121328
3-6⋅112

121/729

-3cd411,11

-3109.094120463
3-5⋅112

121/243

-2cd811,11

-1207.139119597
3-4⋅112

121/81

d511,11

694.815881268
3-3⋅112

121/27

2cm211,11

2596.770882133
3-2⋅112

121/9

3cm611,11

4498.725882999
3-1⋅112

121/3

5cm311,11

6400.680883864
112

121/1

6cm711,11

8302.635884730
31⋅112

363/1

8cP411,11

10204.590885595
3-6⋅7-1⋅111

11/5103

-9cm2117

-10629.237969297
3-5⋅7-1⋅111

11/1701

-8cm6117

-8727.282968431
3-4⋅7-1⋅111

11/567

-6cm3117

-6825.327967566
3-3⋅7-1⋅111

11/189

-5cm7117

-4923.372966701
3-2⋅7-1⋅111

11/63

-3cP4117

-3021.417965835
3-1⋅7-1⋅111

11/21

-cP1117

-1119.462964970
7-1⋅111

11/7

P5117

782.492035896
31⋅7-1⋅111

33/7

2cM2117

2684.447036761
32⋅7-1⋅111

99/7

3cM6117

4586.402037626
33⋅7-1⋅111

297/7

5cM3117

6488.357038492
34⋅7-1⋅111

891/7

6cM7117

8390.312039357
35⋅7-1⋅111

2673/7

8cA4117

10292.267040223
3-10⋅71⋅111

77/59049

-10cdd57,11

-11499.406159820
3-9⋅71⋅111

77/19683

-8cd27,11

-9597.451158955
3-8⋅71⋅111

77/6561

-7cd67,11

-7695.496158089
3-7⋅71⋅111

77/2187

-5cd37,11

-5793.541157224
3-6⋅71⋅111

77/729

-4cd77,11

-3891.586156358
3-5⋅71⋅111

77/243

-2cd47,11

-1989.631155493
3-4⋅71⋅111

77/81

-cd87,11

-87.676154628
3-3⋅71⋅111

77/27

cd57,11

1814.278846238
3-2⋅71⋅111

77/9

3cm27,11

3716.233847103
3-1⋅71⋅111

77/3

4cm67,11

5618.188847968
71⋅111

77/1

6cm37,11

7520.143848834
31⋅71⋅111

231/1

7cm77,11

9422.098849699
32⋅71⋅111

693/1

9cP47,11

11324.053850565
3-7⋅5-1⋅111

11/10935

-10cd2115

-11948.680777558
3-6⋅5-1⋅111

11/3645

-9cd6115

-10046.725776692
3-5⋅5-1⋅111

11/1215

-7cd3115

-8144.770775827
3-4⋅5-1⋅111

11/405

-6cd7115

-6242.815774962
3-3⋅5-1⋅111

11/135

-4cd4115

-4340.860774096
3-2⋅5-1⋅111

11/45

-3cd8115

-2438.905773231
3-1⋅5-1⋅111

11/15

-cd5115

-536.950772365
5-1⋅111

11/5

cm2115

1365.004228500
31⋅5-1⋅111

33/5

2cm6115

3266.959229365
32⋅5-1⋅111

99/5

4cm3115

5168.914230231
33⋅5-1⋅111

297/5

5cm7115

7070.869231096
34⋅5-1⋅111

891/5

7cP4115

8972.824231961
35⋅5-1⋅111

2673/5

9cP1115

10874.779232827
3-9⋅51⋅111

55/19683

-9cd55,11

-10179.963351559
3-8⋅51⋅111

55/6561

-7cm25,11

-8278.008350694
3-7⋅51⋅111

55/2187

-6cm65,11

-6376.053349828
3-6⋅51⋅111

55/729

-4cm35,11

-4474.098348963
3-5⋅51⋅111

55/243

-3cm75,11

-2572.143348097
3-4⋅51⋅111

55/81

-cP45,11

-670.188347232
3-3⋅51⋅111

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1231.766653633
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55/9

2cP55,11

3133.721654499
3-1⋅51⋅111

55/3

4cM25,11

5035.676655364
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55/1

5cM65,11

6937.631656230
31⋅51⋅111

165/1

7cM35,11

8839.586657095
32⋅51⋅111

495/1

8cM75,11

10741.541657960
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11/6561

-10cd711

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11/2187

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11/243

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11/27

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11/9

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347.407940634
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11/3

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2249.362941499
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11/1

3cP411

4151.317942365
31⋅111

33/1

5cP111

6053.272943230
32⋅111

99/1

6cP511

7955.227944096
33⋅111

297/1

8cM211

9857.182944961
34⋅111

891/1

9cM611

11759.137945826
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343/729

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343/243

d67,7,7

596.702715080
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343/81

2cd37,7,7

2498.657715946
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343/27

3cd77,7,7

4400.612716811
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343/9

5cd47,7,7

6302.567717677
3-1⋅73

343/3

6cd87,7,7

8204.522718542
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343/1

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10106.477719407
3-8⋅5-1⋅72

49/32805

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49/10935

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49/3645

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3-5⋅5-1⋅72

49/1215

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-5558.436905254
3-4⋅5-1⋅72

49/405

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-3656.481904388
3-3⋅5-1⋅72

49/135

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-1754.526903523
3-2⋅5-1⋅72

49/45

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147.428097343
3-1⋅5-1⋅72

49/15

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2049.383098208
5-1⋅72

49/5

3cd47,75

3951.338099073
31⋅5-1⋅72

147/5

4cd87,75

5853.293099939
32⋅5-1⋅72

441/5

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7755.248100804
33⋅5-1⋅72

1323/5

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9657.203101670
34⋅5-1⋅72

3969/5

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11559.158102535
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245/177147

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245/19683

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245/6561

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245/2187

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-3789.719479255
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245/729

-2cd55,7,7

-1887.764478389
3-5⋅51⋅72

245/243

m25,7,7

14.190522476
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245/81

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1916.145523342
3-3⋅51⋅72

245/27

3cm35,7,7

3818.100524207
3-2⋅51⋅72

245/9

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5720.055525072
3-1⋅51⋅72

245/3

6cP45,7,7

7622.010525938
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245/1

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9523.965526803
31⋅51⋅72

735/1

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11425.920527668
3-5⋅5-2⋅71

7/6075

-10cdd475,5

-11713.576525587
3-4⋅5-2⋅71

7/2025

-9cdd875,5

-9811.621524722
3-3⋅5-2⋅71

7/675

-7cdd575,5

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3-2⋅5-2⋅71

7/225

-5cd275,5

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3-1⋅5-2⋅71

7/75

-4cd675,5

-4105.756522126
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7/25

-2cd375,5

-2203.801521261
31⋅5-2⋅71

21/25

-cd775,5

-301.846520395
32⋅5-2⋅71

63/25

cd475,5

1600.108480470
33⋅5-2⋅71

189/25

2cd875,5

3502.063481336
34⋅5-2⋅71

567/25

4cd575,5

5404.018482201
35⋅5-2⋅71

1701/25

6cm275,5

7305.973483066
36⋅5-2⋅71

5103/25

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9207.928483932
37⋅5-2⋅71

15309/25

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11109.883484797
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175/177147

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175/59049

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-10078.096674455
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175/19683

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-8176.141673590
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175/6561

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-6274.186672724
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175/2187

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-4372.231671859
3-6⋅52⋅71

175/729

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-2470.276670994
3-5⋅52⋅71

175/243

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-568.321670128
3-4⋅52⋅71

175/81

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1333.633330737
3-3⋅52⋅71

175/27

2cM65,5,7

3235.588331603
3-2⋅52⋅71

175/9

4cM35,5,7

5137.543332468
3-1⋅52⋅71

175/3

5cM75,5,7

7039.498333333
52⋅71

175/1

7cA45,5,7

8941.453334199
31⋅52⋅71

525/1

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10843.408335064
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49/19683

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49/6561

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-8477.988193985
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49/2187

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-6576.033193119
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49/729

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-4674.078192254
3-5⋅72

49/243

-3cd77,7

-2772.123191389
3-4⋅72

49/81

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-870.168190523
3-3⋅72

49/27

d87,7

1031.786810342
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49/9

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2933.741811207
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49/3

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4835.696812073
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49/1

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6737.651812938
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147/1

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8639.606813804
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441/1

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10541.561814669
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7/1215

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-8927.262811723
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7/405

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-7025.307810857
3-3⋅5-1⋅71

7/135

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3-2⋅5-1⋅71

7/45

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-3221.397809126
3-1⋅5-1⋅71

7/15

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-1319.442808261
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7/5

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582.512192604
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21/5

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2484.467193470
32⋅5-1⋅71

63/5

3cm675

4386.422194335
33⋅5-1⋅71

189/5

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6288.377195200
34⋅5-1⋅71

567/5

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8190.332196066
35⋅5-1⋅71

1701/5

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10092.287196931
36⋅5-1⋅71

5103/5

10cP175

11994.242197797
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35/19683

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35/6561

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35/729

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35/243

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-3354.635383993
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35/81

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-1452.680383128
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35/27

P45,7

449.274617738
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35/9

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2351.229618603
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35/3

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4253.184619469
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35/1

5cM25,7

6155.139620334
31⋅51⋅71

105/1

6cM65,7

8057.094621199
32⋅51⋅71

315/1

8cM35,7

9959.049622065
33⋅51⋅71

945/1

9cM75,7

11861.004622930
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7/6561

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-11846.814100454
3-7⋅71

7/2187

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-9944.859099589
3-6⋅71

7/729

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-8042.904098723
3-5⋅71

7/243

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-6140.949097858
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7/81

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-4238.994096992
3-3⋅71

7/27

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-2337.039096127
3-2⋅71

7/9

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-435.084095262
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7/3

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1466.870905604
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7/1

2cm77

3368.825906469
31⋅71

21/1

4cP47

5270.780907335
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63/1

6cP17

7172.735908200
33⋅71

189/1

7cP57

9074.690909065
34⋅71

567/1

9cM27

10976.645909931
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125/59049

-9cM25,5,5

-10660.608867059
3-9⋅53

125/19683

-8cM65,5,5

-8758.653866194
3-8⋅53

125/6561

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3-7⋅53

125/2187

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-4954.743864463
3-6⋅53

125/729

-3cA45,5,5

-3052.788863598
3-5⋅53

125/243

-cA15,5,5

-1150.833862732
3-4⋅53

125/81

A55,5,5

751.121138133
3-3⋅53

125/27

2cA25,5,5

2653.076138998
3-2⋅53

125/9

3cA65,5,5

4555.031139864
3-1⋅53

125/3

5cA35,5,5

6456.986140729
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125/1

6cA75,5,5

8358.941141595
31⋅53

375/1

8cAA45,5,5

10260.896142460
3-9⋅52

25/19683

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-11544.967580059
3-8⋅52

25/6561

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-9643.012579193
3-7⋅52

25/2187

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-7741.057578328
3-6⋅52

25/729

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-5839.102577463
3-5⋅52

25/243

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-3937.147576597
3-4⋅52

25/81

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-2035.192575732
3-3⋅52

25/27

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-133.237574866
3-2⋅52

25/9

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1768.717425999
3-1⋅52

25/3

3cA15,5

3670.672426864
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25/1

4cA55,5

5572.627427730
31⋅52

75/1

6cA25,5

7474.582428595
32⋅52

225/1

7cA65,5

9376.537429460
33⋅52

675/1

9cA35,5

11278.492430326
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5/2187

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-10527.371292193
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5/729

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-8625.416291327
3-5⋅51

5/243

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-6723.461290462
3-4⋅51

5/81

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-4821.506289597
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5/27

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-2919.551288731
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5/9

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-1017.596287866
3-1⋅51

5/3

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884.358712999
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5/1

2cM35

2786.313713865
31⋅51

15/1

3cM75

4688.268714730
32⋅51

45/1

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6590.223715596
33⋅51

135/1

7cA15

8492.178716461
34⋅51

405/1

8cA55

10394.133717326
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1/729

-10cd5

-11411.730005192
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1/243

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-9509.775004327
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1/81

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-7607.820003462
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1/27

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-5705.865002596
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1/9

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-3803.910001731
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1/3

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-1901.955000865
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1/1

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0.000000000
31

3/1

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1901.955000865
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9/1

3cM2

3803.910001731
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27/1

4cM6

5705.865002596
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81/1

6cM3

7607.820003462
35

243/1

7cM7

9509.775004327
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729/1

9cA4

11411.730005192
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3-4⋅5-1

1/405

-9cd45

-10394.133717326
3-3⋅5-1

1/135

-8cd85

-8492.178716461
3-2⋅5-1

1/45

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-6590.223715596
3-1⋅5-1

1/15

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-4688.268714730
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1/5

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-2786.313713865
31⋅5-1

3/5

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-884.358712999
32⋅5-1

9/5

m75

1017.596287866
33⋅5-1

27/5

2cP45

2919.551288731
34⋅5-1

81/5

4cP15

4821.506289597
35⋅5-1

243/5

5cP55

6723.461290462
36⋅5-1

729/5

7cM25

8625.416291327
37⋅5-1

2187/5

8cM65

10527.371292193
3-3⋅5-2

1/675

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-11278.492430326
3-2⋅5-2

1/225

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-9376.537429460
3-1⋅5-2

1/75

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-7474.582428595
5-2

1/25

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-5572.627427730
31⋅5-2

3/25

-4cd85,5

-3670.672426864
32⋅5-2

9/25

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-1768.717425999
33⋅5-2

27/25

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133.237574866
34⋅5-2

81/25

cm65,5

2035.192575732
35⋅5-2

243/25

3cm35,5

3937.147576597
36⋅5-2

729/25

4cm75,5

5839.102577463
37⋅5-2

2187/25

6cP45,5

7741.057578328
38⋅5-2

6561/25

8cP15,5

9643.012579193
39⋅5-2

19683/25

9cP55,5

11544.967580059
3-1⋅5-3

1/375

-9cdd55,5,5

-10260.896142460
5-3

1/125

-7cd25,5,5

-8358.941141595
31⋅5-3

3/125

-6cd65,5,5

-6456.986140729
32⋅5-3

9/125

-4cd35,5,5

-4555.031139864
33⋅5-3

27/125

-3cd75,5,5

-2653.076138998
34⋅5-3

81/125

-cd45,5,5

-751.121138133
35⋅5-3

243/125

d85,5,5

1150.833862732
36⋅5-3

729/125

2cd55,5,5

3052.788863598
37⋅5-3

2187/125

4cm25,5,5

4954.743864463
38⋅5-3

6561/125

5cm65,5,5

6856.698865329
39⋅5-3

19683/125

7cm35,5,5

8758.653866194
310⋅5-3

59049/125

8cm75,5,5

10660.608867059
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

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~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
5-limit

~~

Limit Boundary

~~

7-limit
3-4⋅7-1

1/567

-10cm77

-10976.645909931
3-3⋅7-1

1/189

-8cP47

-9074.690909065
3-2⋅7-1

1/63

-6cP17

-7172.735908200
3-1⋅7-1

1/21

-5cP57

-5270.780907335
7-1

1/7

-3cM27

-3368.825906469
31⋅7-1

3/7

-2cM67

-1466.870905604
32⋅7-1

9/7

M37

435.084095262
33⋅7-1

27/7

cM77

2337.039096127
34⋅7-1

81/7

3cA47

4238.994096992
35⋅7-1

243/7

5cA17

6140.949097858
36⋅7-1

729/7

6cA57

8042.904098723
37⋅7-1

2187/7

8cA27

9944.859099589
38⋅7-1

6561/7

9cA67

11846.814100454
3-3⋅5-1⋅7-1

1/945

-10cm25,7

-11861.004622930
3-2⋅5-1⋅7-1

1/315

-9cm65,7

-9959.049622065
3-1⋅5-1⋅7-1

1/105

-7cm35,7

-8057.094621199
5-1⋅7-1

1/35

-6cm75,7

-6155.139620334
31⋅5-1⋅7-1

3/35

-4cP45,7

-4253.184619469
32⋅5-1⋅7-1

9/35

-2cP15,7

-2351.229618603
33⋅5-1⋅7-1

27/35

-cP55,7

-449.274617738
34⋅5-1⋅7-1

81/35

cM25,7

1452.680383128
35⋅5-1⋅7-1

243/35

2cM65,7

3354.635383993
36⋅5-1⋅7-1

729/35

4cM35,7

5256.590384858
37⋅5-1⋅7-1

2187/35

5cM75,7

7158.545385724
38⋅5-1⋅7-1

6561/35

7cA45,7

9060.500386589
39⋅5-1⋅7-1

19683/35

9cA15,7

10962.455387455
3-6⋅51⋅7-1

5/5103

-10cP157

-11994.242197797
3-5⋅51⋅7-1

5/1701

-9cP557

-10092.287196931
3-4⋅51⋅7-1

5/567

-7cM257

-8190.332196066
3-3⋅51⋅7-1

5/189

-6cM657

-6288.377195200
3-2⋅51⋅7-1

5/63

-4cM357

-4386.422194335
3-1⋅51⋅7-1

5/21

-3cM757

-2484.467193470
51⋅7-1

5/7

-cA457

-582.512192604
31⋅51⋅7-1

15/7

cA157

1319.442808261
32⋅51⋅7-1

45/7

2cA557

3221.397809126
33⋅51⋅7-1

135/7

4cA257

5123.352809992
34⋅51⋅7-1

405/7

5cA657

7025.307810857
35⋅51⋅7-1

1215/7

7cA357

8927.262811723
36⋅51⋅7-1

3645/7

8cA757

10829.217812588
3-2⋅7-2

1/441

-9cM27,7

-10541.561814669
3-1⋅7-2

1/147

-8cM67,7

-8639.606813804
7-2

1/49

-6cM37,7

-6737.651812938
31⋅7-2

3/49

-5cM77,7

-4835.696812073
32⋅7-2

9/49

-3cA47,7

-2933.741811207
33⋅7-2

27/49

-cA17,7

-1031.786810342
34⋅7-2

81/49

A57,7

870.168190523
35⋅7-2

243/49

2cA27,7

2772.123191389
36⋅7-2

729/49

3cA67,7

4674.078192254
37⋅7-2

2187/49

5cA37,7

6576.033193119
38⋅7-2

6561/49

6cA77,7

8477.988193985
39⋅7-2

19683/49

8cAA47,7

10379.943194850
3-1⋅5-2⋅7-1

1/525

-10cd85,5,7

-10843.408335064
5-2⋅7-1

1/175

-8cd55,5,7

-8941.453334199
31⋅5-2⋅7-1

3/175

-6cm25,5,7

-7039.498333333
32⋅5-2⋅7-1

9/175

-5cm65,5,7

-5137.543332468
33⋅5-2⋅7-1

27/175

-3cm35,5,7

-3235.588331603
34⋅5-2⋅7-1

81/175

-2cm75,5,7

-1333.633330737
35⋅5-2⋅7-1

243/175

P45,5,7

568.321670128
36⋅5-2⋅7-1

729/175

2cP15,5,7

2470.276670994
37⋅5-2⋅7-1

2187/175

3cP55,5,7

4372.231671859
38⋅5-2⋅7-1

6561/175

5cM25,5,7

6274.186672724
39⋅5-2⋅7-1

19683/175

6cM65,5,7

8176.141673590
310⋅5-2⋅7-1

59049/175

8cM35,5,7

10078.096674455
311⋅5-2⋅7-1

177147/175

9cM75,5,7

11980.051675320
3-7⋅52⋅7-1

25/15309

-10cM65,57

-11109.883484797
3-6⋅52⋅7-1

25/5103

-8cM35,57

-9207.928483932
3-5⋅52⋅7-1

25/1701

-7cM75,57

-7305.973483066
3-4⋅52⋅7-1

25/567

-5cA45,57

-5404.018482201
3-3⋅52⋅7-1

25/189

-3cA15,57

-3502.063481336
3-2⋅52⋅7-1

25/63

-2cA55,57

-1600.108480470
3-1⋅52⋅7-1

25/21

A25,57

301.846520395
52⋅7-1

25/7

cA65,57

2203.801521261
31⋅52⋅7-1

75/7

3cA35,57

4105.756522126
32⋅52⋅7-1

225/7

4cA75,57

6007.711522991
33⋅52⋅7-1

675/7

6cAA45,57

7909.666523857
34⋅52⋅7-1

2025/7

8cAA15,57

9811.621524722
35⋅52⋅7-1

6075/7

9cAA55,57

11713.576525587
3-1⋅5-1⋅7-2

1/735

-10cP45,7,7

-11425.920527668
5-1⋅7-2

1/245

-8cP15,7,7

-9523.965526803
31⋅5-1⋅7-2

3/245

-7cP55,7,7

-7622.010525938
32⋅5-1⋅7-2

9/245

-5cM25,7,7

-5720.055525072
33⋅5-1⋅7-2

27/245

-4cM65,7,7

-3818.100524207
34⋅5-1⋅7-2

81/245

-2cM35,7,7

-1916.145523342
35⋅5-1⋅7-2

243/245

-cM75,7,7

-14.190522476
36⋅5-1⋅7-2

729/245

cA45,7,7

1887.764478389
37⋅5-1⋅7-2

2187/245

3cA15,7,7

3789.719479255
38⋅5-1⋅7-2

6561/245

4cA55,7,7

5691.674480120
39⋅5-1⋅7-2

19683/245

6cA25,7,7

7593.629480985
310⋅5-1⋅7-2

59049/245

7cA65,7,7

9495.584481851
311⋅5-1⋅7-2

177147/245

9cA35,7,7

11397.539482716
3-4⋅51⋅7-2

5/3969

-10cM357,7

-11559.158102535
3-3⋅51⋅7-2

5/1323

-9cM757,7

-9657.203101670
3-2⋅51⋅7-2

5/441

-7cA457,7

-7755.248100804
3-1⋅51⋅7-2

5/147

-5cA157,7

-5853.293099939
51⋅7-2

5/49

-4cA557,7

-3951.338099073
31⋅51⋅7-2

15/49

-2cA257,7

-2049.383098208
32⋅51⋅7-2

45/49

-cA657,7

-147.428097343
33⋅51⋅7-2

135/49

cA357,7

1754.526903523
34⋅51⋅7-2

405/49

2cA757,7

3656.481904388
35⋅51⋅7-2

1215/49

4cAA457,7

5558.436905254
36⋅51⋅7-2

3645/49

6cAA157,7

7460.391906119
37⋅51⋅7-2

10935/49

7cAA557,7

9362.346906984
38⋅51⋅7-2

32805/49

9cAA257,7

11264.301907850
7-3

1/343

-9cA47,7,7

-10106.477719407
31⋅7-3

3/343

-7cA17,7,7

-8204.522718542
32⋅7-3

9/343

-6cA57,7,7

-6302.567717677
33⋅7-3

27/343

-4cA27,7,7

-4400.612716811
34⋅7-3

81/343

-3cA67,7,7

-2498.657715946
35⋅7-3

243/343

-cA37,7,7

-596.702715080
36⋅7-3

729/343

A77,7,7

1305.252285785
37⋅7-3

2187/343

2cAA47,7,7

3207.207286650
38⋅7-3

6561/343

4cAA17,7,7

5109.162287516
39⋅7-3

19683/343

5cAA57,7,7

7011.117288381
310⋅7-3

59049/343

7cAA27,7,7

8913.072289247
311⋅7-3

177147/343

8cAA67,7,7

10815.027290112
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
7-limit

~~

Limit Boundary

~~

11-limit
3-4⋅11-1

1/891

-10cm311

-11759.137945826
3-3⋅11-1

1/297

-9cm711

-9857.182944961
3-2⋅11-1

1/99

-7cP411

-7955.227944096
3-1⋅11-1

1/33

-5cP111

-6053.272943230
11-1

1/11

-4cP511

-4151.317942365
31⋅11-1

3/11

-2cM211

-2249.362941499
32⋅11-1

9/11

-cM611

-347.407940634
33⋅11-1

27/11

cM311

1554.547060231
34⋅11-1

81/11

2cM711

3456.502061097
35⋅11-1

243/11

4cA411

5358.457061962
36⋅11-1

729/11

6cA111

7260.412062828
37⋅11-1

2187/11

7cA511

9162.367063693
38⋅11-1

6561/11

9cA211

11064.322064558
3-2⋅5-1⋅11-1

1/495

-9cm25,11

-10741.541657960
3-1⋅5-1⋅11-1

1/165

-8cm65,11

-8839.586657095
5-1⋅11-1

1/55

-6cm35,11

-6937.631656230
31⋅5-1⋅11-1

3/55

-5cm75,11

-5035.676655364
32⋅5-1⋅11-1

9/55

-3cP45,11

-3133.721654499
33⋅5-1⋅11-1

27/55

-cP15,11

-1231.766653633
34⋅5-1⋅11-1

81/55

P55,11

670.188347232
35⋅5-1⋅11-1

243/55

2cM25,11

2572.143348097
36⋅5-1⋅11-1

729/55

3cM65,11

4474.098348963
37⋅5-1⋅11-1

2187/55

5cM35,11

6376.053349828
38⋅5-1⋅11-1

6561/55

6cM75,11

8278.008350694
39⋅5-1⋅11-1

19683/55

8cA45,11

10179.963351559
3-5⋅51⋅11-1

5/2673

-9cP1511

-10874.779232827
3-4⋅51⋅11-1

5/891

-8cP5511

-8972.824231961
3-3⋅51⋅11-1

5/297

-6cM2511

-7070.869231096
3-2⋅51⋅11-1

5/99

-5cM6511

-5168.914230231
3-1⋅51⋅11-1

5/33

-3cM3511

-3266.959229365
51⋅11-1

5/11

-2cM7511

-1365.004228500
31⋅51⋅11-1

15/11

A4511

536.950772365
32⋅51⋅11-1

45/11

2cA1511

2438.905773231
33⋅51⋅11-1

135/11

3cA5511

4340.860774096
34⋅51⋅11-1

405/11

5cA2511

6242.815774962
35⋅51⋅11-1

1215/11

6cA6511

8144.770775827
36⋅51⋅11-1

3645/11

8cA3511

10046.725776692
37⋅51⋅11-1

10935/11

9cA7511

11948.680777558
3-2⋅7-1⋅11-1

1/693

-10cP57,11

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3-1⋅7-1⋅11-1

1/231

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-9422.098849699
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1/77

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-7520.143848834
31⋅7-1⋅11-1

3/77

-5cM37,11

-5618.188847968
32⋅7-1⋅11-1

9/77

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-3716.233847103
33⋅7-1⋅11-1

27/77

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-1814.278846238
34⋅7-1⋅11-1

81/77

A17,11

87.676154628
35⋅7-1⋅11-1

243/77

cA57,11

1989.631155493
36⋅7-1⋅11-1

729/77

3cA27,11

3891.586156358
37⋅7-1⋅11-1

2187/77

4cA67,11

5793.541157224
38⋅7-1⋅11-1

6561/77

6cA37,11

7695.496158089
39⋅7-1⋅11-1

19683/77

7cA77,11

9597.451158955
310⋅7-1⋅11-1

59049/77

9cAA47,11

11499.406159820
3-5⋅71⋅11-1

7/2673

-9cd5711

-10292.267040223
3-4⋅71⋅11-1

7/891

-7cm2711

-8390.312039357
3-3⋅71⋅11-1

7/297

-6cm6711

-6488.357038492
3-2⋅71⋅11-1

7/99

-4cm3711

-4586.402037626
3-1⋅71⋅11-1

7/33

-3cm7711

-2684.447036761
71⋅11-1

7/11

-cP4711

-782.492035896
31⋅71⋅11-1

21/11

P8711

1119.462964970
32⋅71⋅11-1

63/11

2cP5711

3021.417965835
33⋅71⋅11-1

189/11

4cM2711

4923.372966701
34⋅71⋅11-1

567/11

5cM6711

6825.327967566
35⋅71⋅11-1

1701/11

7cM3711

8727.282968431
36⋅71⋅11-1

5103/11

8cM7711

10629.237969297
3-1⋅11-2

1/363

-9cP511,11

-10204.590885595
11-2

1/121

-7cM211,11

-8302.635884730
31⋅11-2

3/121

-6cM611,11

-6400.680883864
32⋅11-2

9/121

-4cM311,11

-4498.725882999
33⋅11-2

27/121

-3cM711,11

-2596.770882133
34⋅11-2

81/121

-cA411,11

-694.815881268
35⋅11-2

243/121

cA111,11

1207.139119597
36⋅11-2

729/121

2cA511,11

3109.094120463
37⋅11-2

2187/121

4cA211,11

5011.049121328
38⋅11-2

6561/121

5cA611,11

6913.004122194
39⋅11-2

19683/121

7cA311,11

8814.959123059
310⋅11-2

59049/121

8cA711,11

10716.914123924
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
11-limit

~~

Limit Boundary

~~

13-limit
3-3⋅13-1

1/351

-9cP513

-10146.392664365
3-2⋅13-1

1/117

-7cM213

-8244.437663500
3-1⋅13-1

1/39

-6cM613

-6342.482662635
13-1

1/13

-4cM313

-4440.527661769
31⋅13-1

3/13

-3cM713

-2538.572660904
32⋅13-1

9/13

-cA413

-636.617660039
33⋅13-1

27/13

cA113

1265.337340827
34⋅13-1

81/13

2cA513

3167.292341692
35⋅13-1

243/13

4cA213

5069.247342558
36⋅13-1

729/13

5cA613

6971.202343423
37⋅13-1

2187/13

7cA313

8873.157344288
38⋅13-1

6561/13

8cA713

10775.112345154
3-2⋅5-1⋅13-1

1/585

-10cm75,13

-11030.751377365
3-1⋅5-1⋅13-1

1/195

-8cP45,13

-9128.796376500
5-1⋅13-1

1/65

-6cP15,13

-7226.841375634
31⋅5-1⋅13-1

3/65

-5cP55,13

-5324.886374769
32⋅5-1⋅13-1

9/65

-3cM25,13

-3422.931373903
33⋅5-1⋅13-1

27/65

-2cM65,13

-1520.976373038
34⋅5-1⋅13-1

81/65

M35,13

380.978627827
35⋅5-1⋅13-1

243/65

cM75,13

2282.933628693
36⋅5-1⋅13-1

729/65

3cA45,13

4184.888629558
37⋅5-1⋅13-1

2187/65

5cA15,13

6086.843630424
38⋅5-1⋅13-1

6561/65

6cA55,13

7988.798631289
39⋅5-1⋅13-1

19683/65

8cA25,13

9890.753632154
310⋅5-1⋅13-1

59049/65

9cA65,13

11792.708633020
3-5⋅51⋅13-1

5/3159

-10cM6513

-11163.988952231
3-4⋅51⋅13-1

5/1053

-8cM3513

-9262.033951366
3-3⋅51⋅13-1

5/351

-7cM7513

-7360.078950501
3-2⋅51⋅13-1

5/117

-5cA4513

-5458.123949635
3-1⋅51⋅13-1

5/39

-3cA1513

-3556.168948770
51⋅13-1

5/13

-2cA5513

-1654.213947904
31⋅51⋅13-1

15/13

A2513

247.741052961
32⋅51⋅13-1

45/13

cA6513

2149.696053826
33⋅51⋅13-1

135/13

3cA3513

4051.651054692
34⋅51⋅13-1

405/13

4cA7513

5953.606055557
35⋅51⋅13-1

1215/13

6cAA4513

7855.561056422
36⋅51⋅13-1

3645/13

8cAA1513

9757.516057288
37⋅51⋅13-1

10935/13

9cAA5513

11659.471058153
3-2⋅7-1⋅13-1

1/819

-10cM37,13

-11613.263569969
3-1⋅7-1⋅13-1

1/273

-9cM77,13

-9711.308569104
7-1⋅13-1

1/91

-7cA47,13

-7809.353568238
31⋅7-1⋅13-1

3/91

-5cA17,13

-5907.398567373
32⋅7-1⋅13-1

9/91

-4cA57,13

-4005.443566508
33⋅7-1⋅13-1

27/91

-2cA27,13

-2103.488565642
34⋅7-1⋅13-1

81/91

-cA67,13

-201.533564777
35⋅7-1⋅13-1

243/91

cA37,13

1700.421436089
36⋅7-1⋅13-1

729/91

2cA77,13

3602.376436954
37⋅7-1⋅13-1

2187/91

4cAA47,13

5504.331437819
38⋅7-1⋅13-1

6561/91

6cAA17,13

7406.286438685
39⋅7-1⋅13-1

19683/91

7cAA57,13

9308.241439550
310⋅7-1⋅13-1

59049/91

9cAA27,13

11210.196440415
3-5⋅71⋅13-1

7/3159

-9cm3713

-10581.476759627
3-4⋅71⋅13-1

7/1053

-8cm7713

-8679.521758762
3-3⋅71⋅13-1

7/351

-6cP4713

-6777.566757896
3-2⋅71⋅13-1

7/117

-4cP1713

-4875.611757031
3-1⋅71⋅13-1

7/39

-3cP5713

-2973.656756166
71⋅13-1

7/13

-cM2713

-1071.701755300
31⋅71⋅13-1

21/13

M6713

830.253245565
32⋅71⋅13-1

63/13

2cM3713

2732.208246431
33⋅71⋅13-1

189/13

3cM7713

4634.163247296
34⋅71⋅13-1

567/13

5cA4713

6536.118248161
35⋅71⋅13-1

1701/13

7cA1713

8438.073249027
36⋅71⋅13-1

5103/13

8cA5713

10340.028249892
3-1⋅11-1⋅13-1

1/429

-9cM311,13

-10493.800604999
11-1⋅13-1

1/143

-8cM711,13

-8591.845604134
31⋅11-1⋅13-1

3/143

-6cA411,13

-6689.890603269
32⋅11-1⋅13-1

9/143

-4cA111,13

-4787.935602403
33⋅11-1⋅13-1

27/143

-3cA511,13

-2885.980601538
34⋅11-1⋅13-1

81/143

-cA211,13

-984.025600673
35⋅11-1⋅13-1

243/143

A611,13

917.929400193
36⋅11-1⋅13-1

729/143

2cA311,13

2819.884401058
37⋅11-1⋅13-1

2187/143

3cA711,13

4721.839401924
38⋅11-1⋅13-1

6561/143

5cAA411,13

6623.794402789
39⋅11-1⋅13-1

19683/143

7cAA111,13

8525.749403654
310⋅11-1⋅13-1

59049/143

8cAA511,13

10427.704404520
3-6⋅111⋅13-1

11/9477

-10cm31113

-11700.939724597
3-5⋅111⋅13-1

11/3159

-9cm71113

-9798.984723731
3-4⋅111⋅13-1

11/1053

-7cP41113

-7897.029722866
3-3⋅111⋅13-1

11/351

-5cP11113

-5995.074722001
3-2⋅111⋅13-1

11/117

-4cP51113

-4093.119721135
3-1⋅111⋅13-1

11/39

-2cM21113

-2191.164720270
111⋅13-1

11/13

-cM61113

-289.209719405
31⋅111⋅13-1

33/13

cM31113

1612.745281461
32⋅111⋅13-1

99/13

2cM71113

3514.700282326
33⋅111⋅13-1

297/13

4cA41113

5416.655283192
34⋅111⋅13-1

891/13

6cA11113

7318.610284057
35⋅111⋅13-1

2673/13

7cA51113

9220.565284922
36⋅111⋅13-1

8019/13

9cA21113

11122.520285788
3-1⋅13-2

1/507

-9cA113,13

-10783.010324404
13-2

1/169

-8cA513,13

-8881.055323539
31⋅13-2

3/169

-6cA213,13

-6979.100322673
32⋅13-2

9/169

-5cA613,13

-5077.145321808
33⋅13-2

27/169

-3cA313,13

-3175.190320942
34⋅13-2

81/169

-2cA713,13

-1273.235320077
35⋅13-2

243/169

AA413,13

628.719680788
36⋅13-2

729/169

2cAA113,13

2530.674681654
37⋅13-2

2187/169

3cAA513,13

4432.629682519
38⋅13-2

6561/169

5cAA213,13

6334.584683384
39⋅13-2

19683/169

6cAA613,13

8236.539684250
310⋅13-2

59049/169

8cAA313,13

10138.494685115
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
13-limit

~~

Limit Boundary

~~

17-31-limit
3-3⋅17-1

1/459

-9cM217

-10610.820412097
3-2⋅17-1

1/153

-8cM617

-8708.865411231
3-1⋅17-1

1/51

-6cM317

-6806.910410366
17-1

1/17

-5cM717

-4904.955409500
31⋅17-1

3/17

-3cA417

-3003.000408635
32⋅17-1

9/17

-cA117

-1101.045407770
33⋅17-1

27/17

A517

800.909593096
34⋅17-1

81/17

2cA217

2702.864593961
35⋅17-1

243/17

3cA617

4604.819594827
36⋅17-1

729/17

5cA317

6506.774595692
37⋅17-1

2187/17

6cA717

8408.729596557
38⋅17-1

6561/17

8cAA417

10310.684597423
3-3⋅19-1

1/513

-9cP119

-10803.378018728
3-2⋅19-1

1/171

-8cP519

-8901.423017863
3-1⋅19-1

1/57

-6cM219

-6999.468016998
19-1

1/19

-5cM619

-5097.513016132
31⋅19-1

3/19

-3cM319

-3195.558015267
32⋅19-1

9/19

-2cM719

-1293.603014402
33⋅19-1

27/19

A419

608.351986464
34⋅19-1

81/19

2cA119

2510.306987329
35⋅19-1

243/19

3cA519

4412.261988195
36⋅19-1

729/19

5cA219

6314.216989060
37⋅19-1

2187/19

6cA619

8216.171989925
38⋅19-1

6561/19

8cA319

10118.126990791
3-3⋅23-1

1/621

-10cd723

-11134.139349865
3-2⋅23-1

1/207

-8cd423

-9232.184348999
3-1⋅23-1

1/69

-7cd823

-7330.229348134
23-1

1/23

-5cd523

-5428.274347268
31⋅23-1

3/23

-3cm223

-3526.319346403
32⋅23-1

9/23

-2cm623

-1624.364345538
33⋅23-1

27/23

m323

277.590655328
34⋅23-1

81/23

cm723

2179.545656193
35⋅23-1

243/23

3cP423

4081.500657059
36⋅23-1

729/23

5cP123

5983.455657924
37⋅23-1

2187/23

6cP523

7885.410658789
38⋅23-1

6561/23

8cM223

9787.365659655
39⋅23-1

19683/23

9cM623

11689.320660520
3-3⋅29-1

1/783

-10cP429

-11535.442196749
3-2⋅29-1

1/261

-8cP129

-9633.487195884
3-1⋅29-1

1/87

-7cP529

-7731.532195018
29-1

1/29

-5cM229

-5829.577194153
31⋅29-1

3/29

-4cM629

-3927.622193288
32⋅29-1

9/29

-2cM329

-2025.667192422
33⋅29-1

27/29

-cM729

-123.712191557
34⋅29-1

81/29

cA429

1778.242809308
35⋅29-1

243/29

3cA129

3680.197810174
36⋅29-1

729/29

4cA529

5582.152811039
37⋅29-1

2187/29

6cA229

7484.107811905
38⋅29-1

6561/29

7cA629

9386.062812770
39⋅29-1

19683/29

9cA329

11288.017813635
3-3⋅31-1

1/837

-10cd431

-11650.900575060
3-2⋅31-1

1/279

-9cd831

-9748.945574195
3-1⋅31-1

1/93

-7cd531

-7846.990573330
31-1

1/31

-5cm231

-5945.035572464
31⋅31-1

3/31

-4cm631

-4043.080571599
32⋅31-1

9/31

-2cm331

-2141.125570733
33⋅31-1

27/31

-cm731

-239.170569868
34⋅31-1

81/31

cP431

1662.784430997
35⋅31-1

243/31

3cP131

3564.739431863
36⋅31-1

729/31

4cP531

5466.694432728
37⋅31-1

2187/31

6cM231

7368.649433593
38⋅31-1

6561/31

7cM631

9270.604434459
39⋅31-1

19683/31

9cM331

11172.559435324
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary
17-31-limit

~~

Limit Boundary