Difference between revisions of "OCA:List of common oscillators in HighLife"

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This is a '''list of the most [[common]] [[oscillator]]s''' in [[HighLife]], specifically [[Catagolue]]'s B36/S23/[[symmetry|C1]] census. The '''approximate relative frequency''' column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type. Proper names for objects are taken from Catagolue where applicable; the [[apgcode]] of the object is substituted otherwise.
+
This is a '''list of the most [[common]] [[oscillator]]s''' in [[HighLife]], specifically [[Catagolue]]'s B36/S23/[[symmetry|C1]] census. The patterns in this table beyond row 17 are only approximately ranked, as they all occur very infrequently so it is difficult to generate accurate estimates of their occurrence. The '''approximate relative frequency''' column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type. Proper names for objects are taken from Catagolue where applicable; the [[apgcode]] of the object is substituted otherwise.
  
 
{| class="wikitable"
 
{| class="wikitable"
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! 1
 
! 1
 
| [[Blinker]]
 
| [[Blinker]]
| [[:Category:Oscillators with period 2|2]]
+
| {{period|2|brief}}
 
| [[:Category:Oscillators with heat 4|4]]
 
| [[:Category:Oscillators with heat 4|4]]
 
| [[:Category:Oscillators with 3 cells|3]]
 
| [[:Category:Oscillators with 3 cells|3]]
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|-
 
|-
 
! 4
 
! 4
| [[P10]]
+
| {{LinkCatagolue|xp10_9hr|rule=b36s23|style=raw}}
| [[:Category:Oscillators with period 10|10]]
+
| {{period|10|brief}}
 
| [[:Category:Oscillators with heat 6.4|6.4]]
 
| [[:Category:Oscillators with heat 6.4|6.4]]
 
| [[:Category:Oscillators with 8 cells|8]]
 
| [[:Category:Oscillators with 8 cells|8]]
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|-
 
|-
 
! 5
 
! 5
| [[P7]]
+
| {{LinkCatagolue|xp7_13090c8|rule=b36s23|style=raw}}
| [[:Category:Oscillators with period 7|7]]
+
| {{period|7|brief}}
 
| [[:Category:Oscillators with heat 9.71|9.71]]
 
| [[:Category:Oscillators with heat 9.71|9.71]]
 
| 8
 
| 8
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|-
 
|-
 
! 6
 
! 6
| [[xp2_222707]]
+
| {{LinkCatagolue|xp2_222707|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 8
 
| 8
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|-
 
|-
 
! 9
 
! 9
| [[xp2_rhe0ehr]]
+
| {{LinkCatagolue|xp2_rhe0ehr|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| [[:Category:Oscillators with heat 1|1]]
 
| [[:Category:Oscillators with heat 1|1]]
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|-
 
|-
 
! 10
 
! 10
| [[xp2_3lkl3]]
+
| {{LinkCatagolue|xp2_3lkl3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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|-
 
|-
 
! 11
 
! 11
| [[xp2_4alhe0ehla4]]
+
| {{LinkCatagolue|xp2_4alhe0ehla4|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 1
 
| 1
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! 13
 
! 13
 
| [[Mold]]
 
| [[Mold]]
| [[:Category:Oscillators with period 4|4]]
+
| {{period|4|brief}}
 
| [[:Category:Oscillators with heat 7|7]]
 
| [[:Category:Oscillators with heat 7|7]]
 
| 12
 
| 12
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|-
 
|-
 
! 15
 
! 15
| [[xp2_4alhe0e]]
+
| {{LinkCatagolue|xp2_4alhe0e|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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|-
 
|-
 
! 16
 
! 16
| [[xp2_1brazw3]]
+
| {{LinkCatagolue|xp2_1brazw3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| [[:Category:Oscillators with heat 12|12]]
 
| [[:Category:Oscillators with heat 12|12]]
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|-
 
|-
 
! 17
 
! 17
| [[xp2_7e0ehr]]
+
| {{LinkCatagolue|xp2_7e0ehr|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 8
 
| 8
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|-
 
|-
 
! 18
 
! 18
| [[xp2_7072707]]
+
| {{LinkCatagolue|xp2_7072707|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| [[:Category:Oscillators with heat 9|9]]
 
| [[:Category:Oscillators with heat 9|9]]
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|-
 
|-
 
! 20
 
! 20
| [[xp2_5t5z555]]
+
| {{LinkCatagolue|xp2_5t5z555|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| [[:Category:Oscillators with heat 10|10]]
 
| [[:Category:Oscillators with heat 10|10]]
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|-
 
|-
 
! 21
 
! 21
| [[xp2_mlhe0ez1]]
+
| {{LinkCatagolue|xp2_mlhe0ez1|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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|-
 
|-
 
! 22
 
! 22
| [[xp2_5t5zaba]]
+
| {{LinkCatagolue|xp2_5t5zaba|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 12
 
| 12
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|-
 
|-
 
! rowspan ="2"|23
 
! rowspan ="2"|23
| [[ xp2_25aoa6zx3]]
+
| {{LinkCatagolue|xp2_25aoa6zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_rhe0e0ehr]]
+
| {{LinkCatagolue|xp2_rhe0e0ehr|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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|-
 
|-
 
! 25
 
! 25
| [[xp2_35aoa6zx3]]
+
| {{LinkCatagolue|xp2_35aoa6zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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|-
 
|-
 
! 26
 
! 26
| [[xp2_69mgm96zx7]]
+
| {{LinkCatagolue|xp2_69mgm96zx7|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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|-
 
|-
 
! rowspan ="2"|28
 
! rowspan ="2"|28
| [[xp2_4alhe0e7]]
+
| {{LinkCatagolue|xp2_4alhe0e7|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 8
 
| 8
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| -
 
| -
 
|-
 
|-
| [[xp2_4alhe0ehr]]
+
| {{LinkCatagolue|xp2_4alhe0ehr|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 1
 
| 1
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|-
 
|-
 
! rowspan ="3"|30
 
! rowspan ="3"|30
| [[xp2_25aoa53zx3]]
+
| {{LinkCatagolue|xp2_25aoa53zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_35aoa53zx3]]
+
| {{LinkCatagolue|xp2_35aoa53zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_xol5loz253]]
+
| {{LinkCatagolue|xp2_xol5loz253|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -98.87%
 
| -98.87%
 
|-
 
|-
| [[xp2_444ewehr]]
+
| {{LinkCatagolue|xp2_444ewehr|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_e0e4ehr]]
+
| {{LinkCatagolue|xp2_e0e4ehr|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 3
 
| 3
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|-
 
|-
 
! rowspan ="7"|37
 
! rowspan ="7"|37
| [[xp2_0o5ll8z643]]
+
| {{LinkCatagolue|xp2_0o5ll8z643|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_25aoa52zx3]]
+
| {{LinkCatagolue|xp2_25aoa52zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_25bob5zx3]]
+
| {{LinkCatagolue|xp2_25bob5zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_3lkqk8z346]]
+
| {{LinkCatagolue|xp2_3lkqk8z346|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2
 
| 2
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| -
 
| -
 
|-
 
|-
| [[xp2_4apb8ozw3]]
+
| {{LinkCatagolue|xp2_4apb8ozw3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| +67,109.73%
 
| +67,109.73%
 
|-
 
|-
| [[xp96_33y3gokezyasa62zzytcc]]
+
| {{LinkCatagolue|xp96_33y3gokezyasa62zzytcc|rule=b36s23|style=raw}}
| [[:Category:Oscillators with period 96|96]]
+
| {{period|96|brief}}
 
| [[:Category:Oscillators with heat 43.96|43.96]]
 
| [[:Category:Oscillators with heat 43.96|43.96]]
 
| [[:Category:Oscillators with 24 cells|24]]
 
| [[:Category:Oscillators with 24 cells|24]]
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|-
 
|-
 
! rowspan ="30"|44
 
! rowspan ="30"|44
| [[xp2_069bo8gz4a5121]]
+
| {{LinkCatagolue|xp2_069bo8gz4a5121|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2  
 
| 2  
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| -
 
| -
 
|-
 
|-
| [[xp2_0mlhe0ez32]]
+
| {{LinkCatagolue|xp2_0mlhe0ez32|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_0mlhik8z32w7]]
+
| {{LinkCatagolue|xp2_0mlhik8z32w7|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_0o4alhe0ehla4z11]]
+
| {{LinkCatagolue|xp2_0o4alhe0ehla4z11|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 1
 
| 1
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| -
 
| -
 
|-
 
|-
| [[xp2_178rb8ozx3]]
+
| {{LinkCatagolue|xp2_178rb8ozx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_25a8a6z8ka2ac]]
+
| {{LinkCatagolue|xp2_25a8a6z8ka2ac|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2
 
| 2
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| -
 
| -
 
|-
 
|-
| [[xp2_25bob52zx3]]
+
| {{LinkCatagolue|xp2_25bob52zx3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_2llqk8z346]]
+
| {{LinkCatagolue|xp2_2llqk8z346|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2  
 
| 2  
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| +101.30%
 
| +101.30%
 
|-
 
|-
| [[xp2_318czw3115ako]]
+
| {{LinkCatagolue|xp2_318czw3115ako|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2
 
| 2
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| -
 
| -
 
|-
 
|-
| [[xp2_32qbhe0e]]
+
| {{LinkCatagolue|xp2_32qbhe0e|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_358mhe0e]]
+
| {{LinkCatagolue|xp2_358mhe0e|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| +66.72%
 
| +66.72%
 
|-
 
|-
| [[xp2_4alhewehla4]]
+
| {{LinkCatagolue|xp2_4alhewehla4|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2
 
| 2
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| -
 
| -
 
|-
 
|-
| [[xp2_69bqhe0e]]
+
| {{LinkCatagolue|xp2_69bqhe0e|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_69mgm952zx7]]
+
| {{LinkCatagolue|xp2_69mgm952zx7|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_69r8brzw3]]
+
| {{LinkCatagolue|xp2_69r8brzw3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_6ao8brzw3]]
+
| {{LinkCatagolue|xp2_6ao8brzw3|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_8kihf0cczw7]]
+
| {{LinkCatagolue|xp2_8kihf0cczw7|rule=b36s23|style=raw}}
 
| 2  
 
| 2  
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_ca1u8oz0643]]
+
| {{LinkCatagolue|xp2_ca1u8oz0643|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 2
 
| 2
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| -
 
| -
 
|-
 
|-
| [[xp2_cic0fpzw1f1]]
+
| {{LinkCatagolue|xp2_cic0fpzw1f1|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 4
 
| 4
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| -
 
| -
 
|-
 
|-
| [[xp2_gbhe0ehrz01]]
+
| {{LinkCatagolue|xp2_gbhe0ehrz01|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 1
 
| 1
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| -
 
| -
 
|-
 
|-
| [[xp2_gbhe0esz01]]
+
| {{LinkCatagolue|xp2_gbhe0esz01|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 8
 
| 8
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| -
 
| -
 
|-
 
|-
| [[xp2_hbba8oz123]]
+
| {{LinkCatagolue|xp2_hbba8oz123|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 8
 
| 8
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| -55.16%
 
| -55.16%
 
|-
 
|-
| [[xp2_jhe0e7z146]]
+
| {{LinkCatagolue|xp2_jhe0e7z146|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 8
 
| 8
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| -
 
| -
 
|-
 
|-
| [[xp2_xrhe0ehrz253]]
+
| {{LinkCatagolue|xp2_xrhe0ehrz253|rule=b36s23|style=raw}}
 
| 2
 
| 2
 
| 1
 
| 1
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|-
 
|-
 
| [[Fumarole]]
 
| [[Fumarole]]
| [[:Category:Oscillators with period 5|5]]
+
| {{period|5|brief}}
 
| [[:Category:Oscillators with heat 12.8|12.8]]
 
| [[:Category:Oscillators with heat 12.8|12.8]]
 
| 18
 
| 18
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| +5883.31%
 
| +5883.31%
 
|-
 
|-
| [[xp96_33y3gokezyasa62zzytcczzyl33]]
+
| {{LinkCatagolue|xp96_33y3gokezyasa62zzytcczzyl33|rule=b36s23|style=raw}}
 
| 96
 
| 96
 
| [[:Category:Oscillators with heat 44.81|44.81]]
 
| [[:Category:Oscillators with heat 44.81|44.81]]
Line 559: Line 559:
 
*[[Frequency class]]
 
*[[Frequency class]]
 
*[[List of common still lifes]]
 
*[[List of common still lifes]]
 +
*[[List of common oscillators]]
 
*[[List of common spaceships]]
 
*[[List of common spaceships]]
 +
*[[List of common still lifes in HighLife]]
 +
*[[List of common spaceships in HighLife]]
  
 
[[Category:Lists of patterns]]
 
[[Category:Lists of patterns]]

Latest revision as of 15:51, 16 July 2019

This is a list of the most common oscillators in HighLife, specifically Catagolue's B36/S23/C1 census. The patterns in this table beyond row 17 are only approximately ranked, as they all occur very infrequently so it is difficult to generate accurate estimates of their occurrence. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type. Proper names for objects are taken from Catagolue where applicable; the apgcode of the object is substituted otherwise.

Rank Pattern Period Heat Minimum # of cells Approximate relative frequency (out of 1.00) % Difference in frequency from Life
1 Blinker 2 4 3 0.9743 -1.586%
2 Toad 2 8 6 0.01658 +119.6%
3 Beacon 2 2 6 0.006290 +166.5%
4 xp10_9hr 10 6.4 8 0.002330 -
5 xp7_13090c8 7 9.71 8 0.0004593 -
6 xp2_222707 2 8 9 0.00005010 -
7 Clock 2 8 6 0.00001926 +1158.8%
8 Bipole 2 4 8 0.000002260 +607.6%
9 xp2_rhe0ehr 2 1 18 0.000001596 -
10 xp2_3lkl3 2 4 12 0.000001259 -
11 xp2_4alhe0ehla4 2 1 22 9.9776×10-7 -
12 Spark coil 2 2 18 8.4939×10-7 +1219.3%
13 Mold 4 7 12 5.9780×10-7 +1013.63%
14 Tripole 2 3 9 4.7093×10-7 +4240.4%
15 xp2_4alhe0e 2 4 14 2.935×10-7 -
16 xp2_1brazw3 2 12 12 1.6235×10-7 -
17 xp2_7e0ehr 2 8 15 1.5590×10-7 -
18 xp2_7072707 2 9 12 6.4511×10-8 -
19 Mazing 4 14 12 3.0105×10-8 +194.57%
20 xp2_5t5z555 2 10 12 2.7955×10-8 -
21 xp2_mlhe0ez1 2 4 15 1.9353×10-8 -
22 xp2_5t5zaba 2 12 15 1.8278×10-8 -
23 xp2_25aoa6zx3 2 4 13 1.7203×10-8 -
xp2_rhe0e0ehr 2 4 21 1.7203×10-8 -
25 xp2_35aoa6zx3 2 4 14 1.5052×10-8 -
26 xp2_69mgm96zx7 2 4 18 9.6766×10-9 -
27 Trans-beacon on table 2 2 12 7.5262×10-9 +193.8%
28 xp2_4alhe0e7 2 8 17 6.4511×10-9 -
xp2_4alhe0ehr 2 1 20 6.4511×10-9 -
30 xp2_25aoa53zx3 2 4 15 4.3007×10-9 -
xp2_35aoa53zx3 2 4 16 4.3007×10-9 -
xp2_xol5loz253 2 4 17 4.3007×10-9 -
33 Quadpole 2 8 10 3.2255×10-9 -98.87%
xp2_444ewehr 2 4 15 3.2255×10-9 -
xp2_e0e4ehr 2 3 15 3.2255×10-9 -
Lei 2 20 12 3.2255×10-9 +236,863.93%
37 xp2_0o5ll8z643 2 4 16 2.1504×10-9 -
xp2_25aoa52zx3 2 4 14 2.1504×10-9 -
xp2_25bob5zx3 2 4 15 2.1504×10-9 -
xp2_3lkqk8z346 2 2 18 2.1504×10-9 -
xp2_4apb8ozw3 2 4 14 2.1504×10-9 -
Pentapole 2 10 11 2.1504×10-9 +67,109.73%
xp96_33y3gokezyasa62zzytcc 96 43.96 24 2.1504×10-9 -
44 xp2_069bo8gz4a5121 2 2 19 1.0752×10-9 -
xp2_0mlhe0ez32 2 4 17 1.0752×10-9 -
xp2_0mlhik8z32w7 2 4 19 1.0752×10-9 -
xp2_0o4alhe0ehla4z11 2 1 26 1.0752×10-9 -
xp2_178rb8ozx3 2 4 17 1.0752×10-9 -
xp2_25a8a6z8ka2ac 2 2 20 1.0752×10-9 -
xp2_25bob52zx3 2 4 16 1.0752×10-9 -
xp2_2llqk8z346 2 2 18 1.0752×10-9 -
Cis-beacon on table 2 2 12 1.0752×10-9 -57.32%
Cis-beacon down on long hook 2 2 14 1.0752×10-9 +101.30%
xp2_318czw3115ako 2 2 18 1.0752×10-9 -
xp2_32qbhe0e 2 4 17 1.0752×10-9 -
xp2_358mhe0e 2 4 16 1.0752×10-9 -
Cis-beacon up on long hook 2 2 14 1.0752×10-9 +66.72%
xp2_4alhewehla4 2 2 22 1.0752×10-9 -
xp2_69bqhe0e 2 4 18 1.0752×10-9 -
xp2_69mgm952zx7 2 4 19 1.0752×10-9 -
xp2_69r8brzw3 2 4 18 1.0752×10-9 -
xp2_6ao8brzw3 2 4 16 1.0752×10-9 -
xp2_8kihf0cczw7 2 4 18 1.0752×10-9 -
xp2_ca1u8oz0643 2 2 17 1.0752×10-9 -
xp2_cic0fpzw1f1 2 4 19 1.0752×10-9 -
xp2_gbhe0ehrz01 2 1 19 1.0752×10-9 -
xp2_gbhe0esz01 2 8 16 1.0752×10-9 -
xp2_hbba8oz123 2 8 17 1.0752×10-9 -
Cis-beacon on dock 2 2 16 1.0752×10-9 -55.16%
xp2_jhe0e7z146 2 8 18 1.0752×10-9 -
xp2_xrhe0ehrz253 2 1 23 1.0752×10-9 -
Fumarole 5 12.8 18 1.0752×10-9 +5883.31%
xp96_33y3gokezyasa62zzytcczzyl33 96 44.81 28 1.0752×10-9 -

See also