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{{todo|use sigma 1.0|inline=1|comment=instead of sigma 1/2}}
{{todo|use sigma 1.0|inline=1|comment=instead of sigma 1/2}}


<s>
=== Notable Local Maxima of the Riemann Zeta Function after removing the prime 2 from the zeta product ===
=== Notable Local Maxima of the Riemann Zeta Function after removing the prime 2 from the zeta product ===


Line 719: Line 718:
!Distinct
!Distinct
|-
|-
|[[no-3 51zpi analog]]
|-
|15.9698898591818
|[[no-3 12zpi (σ = 1)]]
|75.1414073973756
|6.02468349150
|5.367776
|199.180587942
|0.953376
|2.48564
|13.070433
|[[6ed2]]
|[[16edo]]
|1195.08352765
|1202.26251835801
|16
|8
|-
|[[no-3 51zpi (σ = 1)]]
|15.9687074547
|75.1469712502
|2.56677
|[[16ed2]]
|1202.35154000
|26
|26
|8
|8
|-
|-
|[[no-3 75zpi analog]]
|[[no-3 75zpi (σ = 1)]]
|21.0437746046821
|21.0417134383
|57.0239903507143
|57.0295762045
|5.752828
|2.60042
|0.956754
|[[21ed2]]
|12.853639
|1197.62110029
|[[21edo]]
|1197.50379736500
|17
|17
|10
|10
|-
|-
|[[no-3 95zpi analog]]
|[[no-3 95zpi (σ = 1)]]
|24.9596545948521
|24.9617781085
|48.0775883912872
|48.0734984016
|6.060198
|2.64675
|0.954994
|[[25ed2]]
|12.605015
|1201.83746004
|[[25edo]]
|1201.93970978218
|14
|14
|11
|11
|-
|-
|[[no-3 111zpi analog]]
|[[no-3 111zpi (σ = 1)]]
|28.0369867749215
|28.0346744276
|42.8006051304121
|42.8041353966
|5.701943
|2.49236
|0.838390
|[[28ed2]]
|11.937782
|1198.51579110
|[[28edo]]
|1198.41694365154
|16
|16
|8
|8
|-
|-
|[[no-3 149zpi analog]]
|[[no-3 127zpi (σ = 1)]]
|34.9357059709719
|31.0146799866
|34.3488121006365
|38.6913552073
|6.001080
|2.60405
|0.875916
|[[31ed2]]
|12.775820
|1199.43201143
|[[35edo]]
|11
|1202.20842352228
|11
|-
|[[no-3 149zpi (σ = 1)]]
|34.9367495147
|34.3477861183
|2.53345
|[[35ed2]]
|1202.17251414
|14
|14
|11
|11
|-
|-
|[[no-3 161zpi analog]]
|[[no-3 161zpi (σ = 1)]]
|37.0117501336435
|37.0135086000
|32.4221360964286
|32.4205957606
|7.215934
|2.92705
|1.160421
|[[37ed2]]
|15.095854
|1199.56204314
|[[37edo]]
|1199.61903556786
|22
|22
|16
|16
|-
|-
|[[no-3 196zpi analog]]
|[[no-3 196zpi (σ = 1)]]
|43.0546167485686
|43.0494972034
|27.8715754690789
|27.8748900209
|6.495142
|2.71380
|1.018487
|[[43ed2]]
|15.545919
|1198.62027090
|[[43edo]]
|1198.47774517039
|22
|22
|19
|19
|-
|-
|[[no-3 220zpi analog]]
|[[no-3 220zpi (σ = 1)]]
|47.0058691719873
|47.0043385196
|25.5287269683150
|25.5295582875
|6.758393
|2.69328
|0.939366
|[[47ed2]]
|13.012654
|1199.88923951
|[[47edo]]
|1199.85016751081
|10
|10
|10
|10
|-
|-
|[[no-3 251zpi analog]]
|[[no-3 238zpi (σ = 1)]]
|52.0433965143593
|49.9663117440
|23.0576803277801
|24.0161812652
|6.442846
|2.59814
|0.856289
|[[50ed2]]
|12.619985
|1200.80906326
|[[52edo]]
|28
|1198.99937704456
|16
|-
|[[no-3 251zpi (σ = 1)]]
|52.0419540686
|23.0583194170
|2.56485
|[[52ed2]]
|1199.03260969
|11
|11
|11
|11
|-
|-
|[[no-3 276zpi analog]]
|[[no-3 276zpi (σ = 1)]]
|55.9872265526305
|55.9891415481
|21.4334603424577
|21.4327272543
|6.932381
|2.76321
|1.003267
|[[56ed2]]
|14.804703
|1200.23272624
|[[56edo]]
|1200.27377917763
|20
|20
|19
|19
|-
|-
|[[no-3 340zpi analog]]
|[[no-3 282zpi (σ = 1)]]
|65.9172827630736
|56.9799014512
|18.2046338941664
|21.0600574841
|7.029648
|2.53468
|0.948492
|[[57ed2]]
|13.998526
|1200.42327659
|[[66edo]]
|22
|1201.50583701498
|16
|-
|[[no-3 295zpi (σ = 1)]]
|58.9936140007
|20.3411847253
|2.50448
|[[59ed2]]
|1200.12989879
|11
|11
|-
|[[no-3 314zpi (σ = 1)]]
|61.9643633843
|19.3659699618
|2.51765
|[[62ed2]]
|1200.69013763
|10
|10
|-
|[[no-3 340zpi (σ = 1)]]
|65.9204029312
|18.2037722259
|2.65263
|[[66ed2]]
|1201.44896691
|16
|16
|16
|16
|-
|-
|[[no-3 394zpi analog]]
|[[no-3 354zpi (σ = 1)]]
|74.0597618189548
|68.0229453080
|16.2031306950932
|17.6411061674
|7.464214
|2.76285
|1.007842
|[[68ed2]]
|14.386154
|1199.59521939
|[[74edo]]
|11
|1199.03167143690
|11
|-
|[[no-3 380zpi (σ = 1)]]
|71.9740049640
|16.6726862094
|2.52051
|[[72ed2]]
|1200.43340708
|17
|17
|-
|[[no-3 394zpi (σ = 1)]]
|74.0566473758
|16.2038121158
|2.76672
|[[74ed2]]
|1199.08209657
|16
|16
|16
|16
|-
|-
|[[no-3 421zpi analog]]
|[[no-3 421zpi (σ = 1)]]
|78.0110209886063
|78.0097604150
|15.3824419267024
|15.3826904943
|7.592394
|2.81219
|1.008960
|[[78ed2]]
|14.204322
|1199.84985856
|[[78edo]]
|1199.83047028279
|17
|17
|16
|16
|-
|-
|[[no-3 525zpi analog]]
|[[no-3 441zpi (σ = 1)]]
|93.0076810773635
|80.9599365747
|12.9021601882735
|14.8221459992
|8.466134
|2.60592
|1.133255
|[[81ed2]]
|15.018535
|1200.59382594
|[[93edo]]
|11
|1199.90089750944
|11
|-
|[[no-3 462zpi (σ = 1)]]
|84.0209403971
|14.2821538813
|2.70980
|[[84ed2]]
|1199.70092603
|16
|16
|-
|[[no-3 483zpi (σ = 1)]]
|86.9876279229
|13.7950652139
|2.64547
|[[87ed2]]
|1200.17067361
|16
|16
|-
|[[no-3 504zpi (σ = 1)]]
|90.0001765765
|13.3333071739
|2.57729
|[[90ed2]]
|1199.99764565
|10
|10
|-
|[[no-3 525zpi (σ = 1)]]
|93.0066513531
|12.9023030347
|2.97919
|[[93ed2]]
|1199.91418223
|35
|35
|19
|19
|-
|-
|[[no-3 640zpi analog]]
|[[no-3 575zpi (σ = 1)]]
|108.976082315502
|100.019153359
|11.0115905665045
|11.9977020370
|8.633826
|2.51016
|1.182085
|[[100ed2]]
|16.319873
|1199.77020370
|[[109edo]]
|22
|1200.26337174899
|22
|-
|[[no-3 596zpi (σ = 1)]]
|102.960307695
|11.6549768242
|2.88566
|[[103ed2]]
|1200.46261290
|17
|17
|-
|[[no-3 640zpi (σ = 1)]]
|108.978652930
|11.0113308225
|3.02482
|[[109ed2]]
|1200.23505965
|16
|16
|-
|[[no-3 684zpi (σ = 1)]]
|115.020054265
|10.4329632573
|2.86867
|[[115ed2]]
|1199.79077459
|16
|16
|-
|[[no-3 729zpi (σ = 1)]]
|121.051422417
|9.91314249794
|2.55806
|[[121ed2]]
|1199.49024225
|22
|22
|-
|[[no-3 751zpi (σ = 1)]]
|124.013627761
|9.67635591079
|3.13747
|[[124ed2]]
|1199.86813294
|28
|26
|-
|[[no-3 796zpi (σ = 1)]]
|130.024906617
|9.22900105233
|2.64132
|[[130ed2]]
|1199.77013680
|16
|16
|-
|[[no-3 826zpi (σ = 1)]]
|133.978395805
|8.95666792242
|2.68076
|[[134ed2]]
|1200.19350160
|10
|10
|-
|[[no-3 842zpi (σ = 1)]]
|136.059566604
|8.81966648840
|2.56610
|[[136ed2]]
|1199.47464242
|11
|11
|-
|[[no-3 849zpi (σ = 1)]]
|137.014168071
|8.75821834261
|2.65309
|[[137ed2]]
|1199.87591294
|8
|8
|-
|[[no-3 872zpi (σ = 1)]]
|139.969011238
|8.57332626265
|2.95738
|[[140ed2]]
|1200.26567677
|17
|17
|-
|[[no-3 918zpi (σ = 1)]]
|145.988163227
|8.21984449614
|2.96655
|[[146ed2]]
|1200.09729644
|22
|22
|-
|[[no-3 941zpi (σ = 1)]]
|148.974114172
|8.05509068920
|2.48892
|[[149ed2]]
|1200.20851269
|17
|17
|-
|[[no-3 949zpi (σ = 1)]]
|149.967271540
|8.00174589878
|2.75244
|[[150ed2]]
|1200.26188482
|22
|22
|-
|[[no-3 988zpi (σ = 1)]]
|154.982657758
|7.74280179061
|2.59311
|[[155ed2]]
|1200.13427754
|11
|11
|-
|[[no-3 1012zpi (σ = 1)]]
|158.070078280
|7.59156959404
|2.58607
|[[158ed2]]
|1199.46799586
|14
|14
|-
|[[no-3 1019zpi (σ = 1)]]
|158.935399634
|7.55023740944
|2.51979
|[[159ed2]]
|1200.48774810
|16
|16
|-
|[[no-3 1035zpi (σ = 1)]]
|161.022597516
|7.45237015495
|3.03830
|[[161ed2]]
|1199.83159495
|22
|22
|-
|[[no-3 1083zpi (σ = 1)]]
|167.067779937
|7.18271350975
|2.70357
|[[167ed2]]
|1199.51315613
|17
|17
|-
|[[no-3 1114zpi (σ = 1)]]
|171.005264557
|7.01732781800
|2.57748
|[[171ed2]]
|1199.96305688
|17
|17
|-
|[[no-3 1138zpi (σ = 1)]]
|173.986832234
|6.89707367272
|2.71583
|[[174ed2]]
|1200.09081905
|10
|10
|-
|[[no-3 1145zpi (σ = 1)]]
|174.902446818
|6.86096748120
|2.52974
|[[175ed2]]
|1200.66930921
|11
|11
|-
|[[no-3 1162zpi (σ = 1)]]
|177.011493724
|6.77922079947
|2.97004
|[[177ed2]]
|1199.92208151
|16
|16
|-
|[[no-3 1210zpi (σ = 1)]]
|183.018217488
|6.55672433308
|2.64315
|[[183ed2]]
|1199.88055295
|17
|17
|-
|[[no-3 1234zpi (σ = 1)]]
|185.954284493
|6.45319898528
|2.57176
|[[186ed2]]
|1200.29501126
|10
|10
|-
|[[no-3 1242zpi (σ = 1)]]
|186.981915298
|6.41773295610
|2.83950
|[[187ed2]]
|1200.11606279
|28
|22
|-
|[[no-3 1259zpi (σ = 1)]]
|189.064389750
|6.34704399697
|2.52241
|[[189ed2]]
|1199.59131543
|11
|11
|-
|[[no-3 1283zpi (σ = 1)]]
|192.049160139
|6.24840014470
|2.51416
|[[192ed2]]
|1199.69282778
|11
|11
|-
|[[no-3 1291zpi (σ = 1)]]
|193.001411720
|6.21757110120
|2.58076
|[[193ed2]]
|1199.99122253
|11
|11
|-
|[[no-3 1315zpi (σ = 1)]]
|195.960897036
|6.12367068200
|3.00252
|[[196ed2]]
|1200.23945367
|17
|17
|-
|[[no-3 1332zpi (σ = 1)]]
|198.038062648
|6.05944122030
|2.65687
|[[198ed2]]
|1199.76936162
|16
|16
|-
|[[no-3 1364zpi (σ = 1)]]
|201.995809149
|5.94071731021
|2.81223
|[[202ed2]]
|1200.02489666
|11
|11
|-
|[[no-3 1381zpi (σ = 1)]]
|204.057376735
|5.88069894458
|2.71886
|[[204ed2]]
|1199.66258470
|23
|23
|-
|[[no-3 1414zpi (σ = 1)]]
|208.049926903
|5.76784629470
|2.68595
|[[208ed2]]
|1199.71202930
|16
|16
|-
|[[no-3 1446zpi (σ = 1)]]
|211.918792048
|5.66254643300
|2.56248
|[[212ed2]]
|1200.45984380
|14
|14
|-
|[[no-3 1463zpi (σ = 1)]]
|214.026411191
|5.60678466421
|2.83329
|[[214ed2]]
|1199.85191814
|10
|10
|-
|[[no-3 1488zpi (σ = 1)]]
|217.013478474
|5.52961045756
|2.54143
|[[217ed2]]
|1199.92546929
|13
|13
|-
|[[no-3 1496zpi (σ = 1)]]
|217.987761194
|5.50489620806
|3.05781
|[[218ed2]]
|1200.06737336
|11
|11
|-
|[[no-3 1546zpi (σ = 1)]]
|224.015057895
|5.35678275949
|2.65007
|[[224ed2]]
|1199.91933813
|16
|16
|16
|16
|-
|-
|[[no-3 751zpi analog]]
|[[no-3 1571zpi (σ = 1)]]
|124.014367753602
|226.974561802
|9.67629817203298
|5.28693607985
|9.498846
|2.83428
|1.276085
|[[227ed2]]
|16.564895
|1200.13449013
|[[124edo]]
|1199.86097333209
|28
|28
|26
|26
|-
|[[no-3 1596zpi (σ = 1)]]
|229.980895615
|5.21782471014
|2.53900
|[[230ed2]]
|1200.09968333
|22
|22
|-
|[[no-3 1621zpi (σ = 1)]]
|232.982861825
|5.15059344109
|3.18230
|[[233ed2]]
|1200.08827177
|17
|17
|-
|[[no-3 1672zpi (σ = 1)]]
|239.007141842
|5.02077047050
|3.03922
|[[239ed2]]
|1199.96414245
|11
|11
|-
|[[no-3 1705zpi (σ = 1)]]
|242.950513138
|4.93927748702
|2.58340
|[[243ed2]]
|1200.24442935
|10
|10
|-
|[[no-3 1723zpi (σ = 1)]]
|245.078464843
|4.89639104263
|2.70419
|[[245ed2]]
|1199.61580544
|16
|16
|-
|[[no-3 1748zpi (σ = 1)]]
|248.041899078
|4.83789232569
|2.65779
|[[248ed2]]
|1199.79729677
|13
|13
|-
|[[no-3 1756zpi (σ = 1)]]
|248.948737068
|4.82026948253
|2.57360
|[[249ed2]]
|1200.24710115
|16
|16
|-
|[[no-3 1799zpi (σ = 1)]]
|254.007436921
|4.72427112586
|2.77515
|[[254ed2]]
|1199.96486597
|16
|16
|-
|[[no-3 1807zpi (σ = 1)]]
|254.973083305
|4.70637913792
|2.63503
|[[255ed2]]
|1200.12668017
|11
|11
|-
|[[no-3 1859zpi (σ = 1)]]
|261.029447254
|4.59718247356
|3.06231
|[[261ed2]]
|1199.86462560
|40
|34
|-
|[[no-3 1884zpi (σ = 1)]]
|263.969408305
|4.54598132301
|3.02070
|[[264ed2]]
|1200.13906928
|17
|17
|-
|[[no-3 1936zpi (σ = 1)]]
|270.004586009
|4.44436895587
|2.86256
|[[270ed2]]
|1199.97961808
|16
|16
|-
|[[no-3 1970zpi (σ = 1)]]
|273.982199321
|4.37984658483
|2.79132
|[[274ed2]]
|1200.07796424
|22
|22
|-
|[[no-3 1988zpi (σ = 1)]]
|276.049541463
|4.34704580069
|2.74028
|[[276ed2]]
|1199.78464099
|11
|11
|-
|[[no-3 2022zpi (σ = 1)]]
|279.959012818
|4.28634173239
|2.75619
|[[280ed2]]
|1200.17568507
|10
|10
|-
|[[no-3 2040zpi (σ = 1)]]
|282.080960144
|4.25409782846
|2.56419
|[[282ed2]]
|1199.65558763
|14
|14
|-
|[[no-3 2048zpi (σ = 1)]]
|282.978336346
|4.24060730405
|2.66363
|[[283ed2]]
|1200.09186705
|14
|14
|-
|[[no-3 2066zpi (σ = 1)]]
|285.036698459
|4.20998421076
|2.63604
|[[285ed2]]
|1199.84550007
|22
|22
|-
|[[no-3 2074zpi (σ = 1)]]
|285.991584632
|4.19592765830
|2.84732
|[[286ed2]]
|1200.03531028
|22
|22
|}
|}


Line 1,146: Line 1,735:
|25
|25
|}
|}
</s>
 
=== The α–β–γ family ===
=== The α–β–γ family ===
{| class="wikitable sortable"
{| class="wikitable sortable"
Retrieved from "https://en.xen.wiki/w/User:Contribution/Collection_of_tunings"