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VoteFair Ranking Results calculated at  www.VoteFair.org 2009-March-10  18:07

Poll title:

     American Idol, Season 8, Top 13 (announced; no official voting)    

Question (number 1) title:

     Who is your favorite, second-favorite, etc., singer?    

The most preferred and most representative choice is:

    Adam Lambert

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Adam Lambert  Ranking score is 59 for Adam Lambert 74 voters marked Adam Lambert as their first choice
Second-most popular Danny Gokey  Ranking score is 54 for Danny Gokey 43 voters marked Danny Gokey as their first choice
Third-most popular Allison Iraheta  Ranking score is 54 for Allison Iraheta 32 voters marked Allison Iraheta as their first choice
Fourth-most popular Anoop Desai  Ranking score is 40 for Anoop Desai 26 voters marked Anoop Desai as their first choice
Fifth-most popular Alexis Grace  Ranking score is 34 for Alexis Grace 12 voters marked Alexis Grace as their first choice
Sixth-most popular Kris Allen  Ranking score is 28 for Kris Allen 23 voters marked Kris Allen as their first choice
Seventh-most popular Lil Rounds  Ranking score is 25 for Lil Rounds 12 voters marked Lil Rounds as their first choice
Eighth-most popular Matt Giraud  Ranking score is 20 for Matt Giraud 13 voters marked Matt Giraud as their first choice
Ninth-most popular Megan Corkrey  Ranking score is 15 for Megan Corkrey 17 voters marked Megan Corkrey as their first choice
Tenth-most popular Jorge Nunez  Ranking score is 10 for Jorge Nunez 7 voters marked Jorge Nunez as their first choice
11th-most popular Jasmine Murray  Ranking score is 4 for Jasmine Murray 5 voters marked Jasmine Murray as their first choice
12th-most popular Michael Sarver  Ranking score is 0 for Michael Sarver 0 voter marked Michael Sarver as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Adam Lambert

Second-most representative choice is:

Danny Gokey

Third-most representative choice is:

Allison Iraheta

Additional levels of representation were not calculated.
(There may be too many questions, too many choices for this question, or too many votes, or no further calculations were requested.)

VoteFair representation ranking results should be used when more than one choice is to be selected. Why? When there are 100 voters, 51 of them can choose the first winner, so the other 49 voters deserve extra influence in choosing the second winner (instead of letting the 51 voters also choose the second winner). When should representation results be used? When a second candidate is elected to a second equivalent seat in a state legislature, or when an organization pursues a simultaneous second activity in addition to the most popular activity.

Comparison of VoteFair Ranking with other voting methods

  
Voting method Winner
VoteFair Adam Lambert
Instant runoff A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes.
(2 ballots at least partially ignored because they include an equal preference at a significant step in the runoff process.
(Choice eliminated in the first round : Michael Sarver)
Majority None of the choices has won a majority (more than half) the votes.

(13 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Adam Lambert

(13 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Adam Lambert
Borda count There are no valid ballots because they all rank more than one choice at the same preference level.

Details of plurality results

  
Choice Vote count Percentage
Adam Lambert 74 28 74 voters marked Adam Lambert as their first choice
Danny Gokey 43 16 43 voters marked Danny Gokey as their first choice
Allison Iraheta 32 12 32 voters marked Allison Iraheta as their first choice
Anoop Desai 26 10 26 voters marked Anoop Desai as their first choice
Kris Allen 23 9 23 voters marked Kris Allen as their first choice
Megan Corkrey 17 6 17 voters marked Megan Corkrey as their first choice
Matt Giraud 13 5 13 voters marked Matt Giraud as their first choice
Lil Rounds 12 5 12 voters marked Lil Rounds as their first choice
Alexis Grace 12 5 12 voters marked Alexis Grace as their first choice
Jorge Nunez 7 3 7 voters marked Jorge Nunez as their first choice
Jasmine Murray 5 2 5 voters marked Jasmine Murray as their first choice
Michael Sarver 1 0 0 voter marked Michael Sarver as their first choice
(13 ballots ignored in plurality counting because they rank more than one choice as the most-preferred choice.)

Notice that the choice with the most plurality votes is not necessarily the most popular. Similarly the choice with the fewest plurality votes is not necessarily the least popular.

Data and Calculation Summary
Number of votes: 278
The following tally table summarizes all the preferences of all the voters. The bold underlined numbers are the ones that apply to the winning sequence.
  
All possible pairs of choice names Number of votes with indicated preference
Prefer X over Y Equal preference Prefer Y over X
X = Adam Lambert
Y = Danny Gokey
134
134 voters prefer Adam Lambert over Danny Gokey
33
33 voters have an equal preference for Adam Lambert and Danny Gokey
111
111 voters prefer Danny Gokey over Adam Lambert
X = Adam Lambert
Y = Allison Iraheta
130
130 voters prefer Adam Lambert over Allison Iraheta
24
24 voters have an equal preference for Adam Lambert and Allison Iraheta
124
124 voters prefer Allison Iraheta over Adam Lambert
X = Adam Lambert
Y = Anoop Desai
161
161 voters prefer Adam Lambert over Anoop Desai
30
30 voters have an equal preference for Adam Lambert and Anoop Desai
87
87 voters prefer Anoop Desai over Adam Lambert
X = Adam Lambert
Y = Alexis Grace
155
155 voters prefer Adam Lambert over Alexis Grace
32
32 voters have an equal preference for Adam Lambert and Alexis Grace
91
91 voters prefer Alexis Grace over Adam Lambert
X = Adam Lambert
Y = Kris Allen
163
163 voters prefer Adam Lambert over Kris Allen
32
32 voters have an equal preference for Adam Lambert and Kris Allen
83
83 voters prefer Kris Allen over Adam Lambert
X = Adam Lambert
Y = Lil Rounds
158
158 voters prefer Adam Lambert over Lil Rounds
35
35 voters have an equal preference for Adam Lambert and Lil Rounds
85
85 voters prefer Lil Rounds over Adam Lambert
X = Adam Lambert
Y = Matt Giraud
162
162 voters prefer Adam Lambert over Matt Giraud
28
28 voters have an equal preference for Adam Lambert and Matt Giraud
88
88 voters prefer Matt Giraud over Adam Lambert
X = Adam Lambert
Y = Megan Corkrey
172
172 voters prefer Adam Lambert over Megan Corkrey
27
27 voters have an equal preference for Adam Lambert and Megan Corkrey
79
79 voters prefer Megan Corkrey over Adam Lambert
X = Adam Lambert
Y = Jorge Nunez
177
177 voters prefer Adam Lambert over Jorge Nunez
36
36 voters have an equal preference for Adam Lambert and Jorge Nunez
65
65 voters prefer Jorge Nunez over Adam Lambert
X = Adam Lambert
Y = Jasmine Murray
191
191 voters prefer Adam Lambert over Jasmine Murray
34
34 voters have an equal preference for Adam Lambert and Jasmine Murray
53
53 voters prefer Jasmine Murray over Adam Lambert
X = Adam Lambert
Y = Michael Sarver
207
207 voters prefer Adam Lambert over Michael Sarver
39
39 voters have an equal preference for Adam Lambert and Michael Sarver
32
32 voters prefer Michael Sarver over Adam Lambert
X = Danny Gokey
Y = Allison Iraheta
133
133 voters prefer Danny Gokey over Allison Iraheta
19
19 voters have an equal preference for Danny Gokey over Allison Iraheta
126
126 voters prefer Allison Iraheta over Danny Gokey
X = Danny Gokey
Y = Anoop Desai
147
147 voters prefer Danny Gokey over Anoop Desai
27
27 voters have an equal preference for Danny Gokey over Anoop Desai
104
104 voters prefer Anoop Desai over Danny Gokey
X = Danny Gokey
Y = Alexis Grace
159
159 voters prefer Danny Gokey over Alexis Grace
33
33 voters have an equal preference for Danny Gokey over Alexis Grace
86
86 voters prefer Alexis Grace over Danny Gokey
X = Danny Gokey
Y = Kris Allen
144
144 voters prefer Danny Gokey over Kris Allen
30
30 voters have an equal preference for Danny Gokey and Kris Allen
104
104 voters prefer Kris Allen over Danny Gokey
X = Danny Gokey
Y = Lil Rounds
163
163 voters prefer Danny Gokey over Lil Rounds
31
31 voters have an equal preference for Danny Gokey and Lil Rounds
84
84 voters prefer Lil Rounds over Danny Gokey
X = Danny Gokey
Y = Matt Giraud
158
158 voters prefer Danny Gokey over Matt Giraud
28
28 voters have an equal preference for Danny Gokey and Matt Giraud
92
92 voters prefer Matt Giraud over Danny Gokey
X = Danny Gokey
Y = Megan Corkrey
164
164 voters prefer Danny Gokey over Megan Corkrey
28
28 voters have an equal preference for Danny Gokey and Megan Corkrey
86
86 voters prefer Megan Corkrey over Danny Gokey
X = Danny Gokey
Y = Jorge Nunez
183
183 voters prefer Danny Gokey over Jorge Nunez
33
33 voters have an equal preference for Danny Gokey and Jorge Nunez
62
62 voters prefer Jorge Nunez over Danny Gokey
X = Danny Gokey
Y = Jasmine Murray
191
191 voters prefer Danny Gokey over Jasmine Murray
37
37 voters have an equal preference for Danny Gokey and Jasmine Murray
50
50 voters prefer Jasmine Murray over Danny Gokey
X = Danny Gokey
Y = Michael Sarver
205
205 voters prefer Danny Gokey over Michael Sarver
41
41 voters have an equal preference for Danny Gokey and Michael Sarver
32
32 voters prefer Michael Sarver over Danny Gokey
X = Allison Iraheta
Y = Anoop Desai
164
164 voters prefer Allison Iraheta over Anoop Desai
23
23 voters have an equal preference for Allison Iraheta and Anoop Desai
91
91 voters prefer Anoop Desai over Allison Iraheta
X = Allison Iraheta
Y = Alexis Grace
164
164 voters prefer Allison Iraheta over Alexis Grace
28
28 voters have an equal preference for Allison Iraheta over Alexis Grace
86
86 voters prefer Alexis Grace over Allison Iraheta
X = Allison Iraheta
Y = Kris Allen
176
176 voters prefer Allison Iraheta over Kris Allen
20
20 voters have an equal preference for Allison Iraheta and Kris Allen
82
82 voters prefer Kris Allen over Allison Iraheta
X = Allison Iraheta
Y = Lil Rounds
170
170 voters prefer Allison Iraheta over Lil Rounds
26
26 voters have an equal preference for Allison Iraheta and Lil Rounds
82
82 voters prefer Lil Rounds over Allison Iraheta
X = Allison Iraheta
Y = Matt Giraud
169
169 voters prefer Allison Iraheta over Matt Giraud
19
19 voters have an equal preference for Allison Iraheta and Matt Giraud
90
90 voters prefer Matt Giraud over Allison Iraheta
X = Allison Iraheta
Y = Megan Corkrey
186
186 voters prefer Allison Iraheta over Megan Corkrey
19
19 voters have an equal preference for Allison Iraheta and Megan Corkrey
73
73 voters prefer Megan Corkrey over Allison Iraheta
X = Allison Iraheta
Y = Jorge Nunez
186
186 voters prefer Allison Iraheta over Jorge Nunez
22
22 voters have an equal preference for Allison Iraheta and Jorge Nunez
70
70 voters prefer Jorge Nunez over Allison Iraheta
X = Allison Iraheta
Y = Jasmine Murray
216
216 voters prefer Allison Iraheta over Jasmine Murray
24
24 voters have an equal preference for Allison Iraheta and Jasmine Murray
38
38 voters prefer Jasmine Murray over Allison Iraheta
X = Allison Iraheta
Y = Michael Sarver
224
224 voters prefer Allison Iraheta over Michael Sarver
26
26 voters have an equal preference for Allison Iraheta and Michael Sarver
28
28 voters prefer Michael Sarver over Allison Iraheta
X = Anoop Desai
Y = Alexis Grace
125
125 voters prefer Anoop Desai over Alexis Grace
34
34 voters have an equal preference for Anoop Desai over Alexis Grace
119
119 voters prefer Alexis Grace over Anoop Desai
X = Anoop Desai
Y = Kris Allen
141
141 voters prefer Anoop Desai over Kris Allen
28
28 voters have an equal preference for Anoop Desai and Kris Allen
109
109 voters prefer Kris Allen over Anoop Desai
X = Anoop Desai
Y = Lil Rounds
137
137 voters prefer Anoop Desai over Lil Rounds
27
27 voters have an equal preference for Anoop Desai and Lil Rounds
114
114 voters prefer Lil Rounds over Anoop Desai
X = Anoop Desai
Y = Matt Giraud
140
140 voters prefer Anoop Desai over Matt Giraud
29
29 voters have an equal preference for Anoop Desai and Matt Giraud
109
109 voters prefer Matt Giraud over Anoop Desai
X = Anoop Desai
Y = Megan Corkrey
141
141 voters prefer Anoop Desai over Megan Corkrey
27
27 voters have an equal preference for Anoop Desai and Megan Corkrey
110
110 voters prefer Megan Corkrey over Anoop Desai
X = Anoop Desai
Y = Jorge Nunez
165
165 voters prefer Anoop Desai over Jorge Nunez
36
36 voters have an equal preference for Anoop Desai and Jorge Nunez
77
77 voters prefer Jorge Nunez over Anoop Desai
X = Anoop Desai
Y = Jasmine Murray
173
173 voters prefer Anoop Desai over Jasmine Murray
37
37 voters have an equal preference for Anoop Desai and Jasmine Murray
68
68 voters prefer Jasmine Murray over Anoop Desai
X = Anoop Desai
Y = Michael Sarver
190
190 voters prefer Anoop Desai over Michael Sarver
45
45 voters have an equal preference for Anoop Desai and Michael Sarver
43
43 voters prefer Michael Sarver over Anoop Desai
X = Alexis Grace
Y = Kris Allen
135
135 voters prefer Alexis Grace over Kris Allen
31
31 voters have an equal preference for Alexis Grace and Kris Allen
112
112 voters prefer Kris Allen over Alexis Grace
X = Alexis Grace
Y = Lil Rounds
120
120 voters prefer Alexis Grace over Lil Rounds
44
44 voters have an equal preference for Alexis Grace and Lil Rounds
114
114 voters prefer Lil Rounds over Alexis Grace
X = Alexis Grace
Y = Matt Giraud
127
127 voters prefer Alexis Grace over Matt Giraud
35
35 voters have an equal preference for Alexis Grace and Matt Giraud
116
116 voters prefer Matt Giraud over Alexis Grace
X = Alexis Grace
Y = Megan Corkrey
143
143 voters prefer Alexis Grace over Megan Corkrey
33
33 voters have an equal preference for Alexis Grace and Megan Corkrey
102
102 voters prefer Megan Corkrey over Alexis Grace
X = Alexis Grace
Y = Jorge Nunez
152
152 voters prefer Alexis Grace over Jorge Nunez
37
37 voters have an equal preference for Alexis Grace and Jorge Nunez
89
89 voters prefer Jorge Nunez over Alexis Grace
X = Alexis Grace
Y = Jasmine Murray
180
180 voters prefer Alexis Grace over Jasmine Murray
42
42 voters have an equal preference for Alexis Grace and Jasmine Murray
56
56 voters prefer Jasmine Murray over Alexis Grace
X = Alexis Grace
Y = Michael Sarver
185
185 voters prefer Alexis Grace over Michael Sarver
47
47 voters have an equal preference for Alexis Grace and Michael Sarver
46
46 voters prefer Michael Sarver over Alexis Grace
X = Kris Allen
Y = Lil Rounds
127
127 voters prefer Kris Allen over Lil Rounds
30
30 voters have an equal preference for Kris Allen and Lil Rounds
121
121 voters prefer Lil Rounds over Kris Allen
X = Kris Allen
Y = Matt Giraud
132
132 voters prefer Kris Allen over Matt Giraud
37
37 voters have an equal preference for Kris Allen and Matt Giraud
109
109 voters prefer Matt Giraud over Kris Allen
X = Kris Allen
Y = Megan Corkrey
127
127 voters prefer Kris Allen over Megan Corkrey
38
38 voters have an equal preference for Kris Allen and Megan Corkrey
113
113 voters prefer Megan Corkrey over Kris Allen
X = Kris Allen
Y = Jorge Nunez
143
143 voters prefer Kris Allen over Jorge Nunez
40
40 voters have an equal preference for Kris Allen over Jorge Nunez
95
95 voters prefer Jorge Nunez over Kris Allen
X = Kris Allen
Y = Jasmine Murray
159
159 voters prefer Kris Allen over Jasmine Murray
48
48 voters have an equal preference for Kris Allen over Jasmine Murray
71
71 voters prefer Jasmine Murray over Kris Allen
X = Kris Allen
Y = Michael Sarver
177
177 voters prefer Kris Allen over Michael Sarver
53
53 voters have an equal preference for Kris Allen and Michael Sarver
48
48 voters prefer Michael Sarver over Kris Allen
X = Lil Rounds
Y = Matt Giraud
131
131 voters prefer Lil Rounds over Matt Giraud
29
29 voters have an equal preference for Lil Rounds and Matt Giraud
118
118 voters prefer Matt Giraud over Lil Rounds
X = Lil Rounds
Y = Megan Corkrey
136
136 voters prefer Lil Rounds over Megan Corkrey
31
31 voters have an equal preference for Lil Rounds and Megan Corkrey
111
111 voters prefer Megan Corkrey over Lil Rounds
X = Lil Rounds
Y = Jorge Nunez
150
150 voters prefer Lil Rounds over Jorge Nunez
37
37 voters have an equal preference for Lil Rounds over Jorge Nunez
91
91 voters prefer Jorge Nunez over Lil Rounds
X = Lil Rounds
Y = Jasmine Murray
168
168 voters prefer Lil Rounds over Jasmine Murray
48
48 voters have an equal preference for Lil Rounds over Jasmine Murray
62
62 voters prefer Jasmine Murray over Lil Rounds
X = Lil Rounds
Y = Michael Sarver
189
189 voters prefer Lil Rounds over Michael Sarver
45
45 voters have an equal preference for Lil Rounds and Michael Sarver
44
44 voters prefer Michael Sarver over Lil Rounds
X = Matt Giraud
Y = Megan Corkrey
135
135 voters prefer Matt Giraud over Megan Corkrey
31
31 voters have an equal preference for Matt Giraud and Megan Corkrey
112
112 voters prefer Megan Corkrey over Matt Giraud
X = Matt Giraud
Y = Jorge Nunez
137
137 voters prefer Matt Giraud over Jorge Nunez
41
41 voters have an equal preference for Matt Giraud over Jorge Nunez
100
100 voters prefer Jorge Nunez over Matt Giraud
X = Matt Giraud
Y = Jasmine Murray
162
162 voters prefer Matt Giraud over Jasmine Murray
45
45 voters have an equal preference for Matt Giraud over Jasmine Murray
71
71 voters prefer Jasmine Murray over Matt Giraud
X = Matt Giraud
Y = Michael Sarver
172
172 voters prefer Matt Giraud over Michael Sarver
54
54 voters have an equal preference for Matt Giraud and Michael Sarver
52
52 voters prefer Michael Sarver over Matt Giraud
X = Megan Corkrey
Y = Jorge Nunez
128
128 voters prefer Megan Corkrey over Jorge Nunez
37
37 voters have an equal preference for Megan Corkrey over Jorge Nunez
113
113 voters prefer Jorge Nunez over Megan Corkrey
X = Megan Corkrey
Y = Jasmine Murray
158
158 voters prefer Megan Corkrey over Jasmine Murray
54
54 voters have an equal preference for Megan Corkrey over Jasmine Murray
66
66 voters prefer Jasmine Murray over Megan Corkrey
X = Megan Corkrey
Y = Michael Sarver
163
163 voters prefer Megan Corkrey over Michael Sarver
64
64 voters have an equal preference for Megan Corkrey and Michael Sarver
51
51 voters prefer Michael Sarver over Megan Corkrey
X = Jorge Nunez
Y = Jasmine Murray
137
137 voters prefer Jorge Nunez over Jasmine Murray
55
55 voters have an equal preference for Jorge Nunez over Jasmine Murray
86
86 voters prefer Jasmine Murray over Jorge Nunez
X = Jorge Nunez
Y = Michael Sarver
155
155 voters prefer Jorge Nunez over Michael Sarver
63
63 voters have an equal preference for Jorge Nunez and Michael Sarver
60
60 voters prefer Michael Sarver over Jorge Nunez
X = Jasmine Murray
Y = Michael Sarver
115
115 voters prefer Jasmine Murray over Michael Sarver
91
91 voters have an equal preference for Jasmine Murray and Michael Sarver
72
72 voters prefer Michael Sarver over Jasmine Murray
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 10,467
Number of all possible valid sequences (without ties): 479,001,600
First sequence:
  1. Adam Lambert
  2. Alexis Grace
  3. Allison Iraheta
  4. Anoop Desai
  5. Danny Gokey
  6. Jasmine Murray
  7. Jorge Nunez
  8. Kris Allen
  9. Lil Rounds
  10. Matt Giraud
  11. Megan Corkrey
  12. Michael Sarver
Last sequence:
  1. Michael Sarver
  2. Megan Corkrey
  3. Matt Giraud
  4. Lil Rounds
  5. Kris Allen
  6. Jorge Nunez
  7. Jasmine Murray
  8. Danny Gokey
  9. Anoop Desai
  10. Allison Iraheta
  11. Alexis Grace
  12. Adam Lambert
© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Detailed ballot information
(The numbers indicate the choices
as listed in "First sequence" above,
a comma indicates the next lower preference level,
"&" joins choices at the same preference level,
and "x" precedes the vote count.)

  • 1&2&3&4&5&6&7&8&9&10&11&12 x4
  • 1&5,11,3,4&9,6&7,2&10,13,8&12 x1
  • 1&5,9,2,3,4,10,11,6,13,7&8&12 x1
  • 1&9,5,12,3,7,10,13,2,11,4&6&8 x1
  • 1,10,3,9,8,13,11,6,2,4,5&7&12 x1
  • 1,10,5,13,9,7,3,8,4,2&12,6&11 x1
  • 1,11,13,8,4,2&3&6&7&9&10&12,5 x1
  • 1,11,7,4,8,2,3&9,6,10&12,5 x1
  • 1,11,8,3,4,5,9,2,6&7&10,12 x1
  • 1,11,8,4,3,5,6,7,2&9&10,12 x1
  • 1,11,9,2&10,5,6,7,8,13,3&4&12 x1
  • 1,13,10,7,5,4,3,2,12,9,6&8&11 x1
  • 1,13,11,3,4,5,8,9,7,12,2&6&10 x1
  • 1,13,8,7,5,2,3,4,10,12,6&9&11 x1
  • 1,2,3&10,5&11,8,6,4,7,9,12 x1
  • 1,2,3,4,5,6,7,8,9,10,11&12 x2
  • 1,2,3,5,9,13,12,11,10,4,6&7&8 x1
  • 1,2,5,3,7,4,9,12,13,10,6&8&11 x1
  • 1,2,8,5,3,9,10,6,13,4&7&11&12 x1
  • 1,3,10,13,5,4,9,12,11,2,6&7&8 x1
  • 1,3,10,5,2,9,8,4,12,11,6&7 x1
  • 1,3,10,8,5,2,4,13,9,7,6&11&12 x1
  • 1,3,10,8,5,4,9,2,7,6,11&12 x1
  • 1,3,11,12,2,4,5,6,7,13,8&9&10 x1
  • 1,3,11,6,4,2,7,5,8,9,10&12 x1
  • 1,3,11,8,4,9,7,12,2,13,5&6&10 x1
  • 1,3,11,9,2,5,13,6,4,8&12,7&10 x1
  • 1,3,11,9,5,2,13,6,4,8,7&10&12 x1
  • 1,3,13,10,9,4,12,11,8,7,2&5&6 x1
  • 1,3,2,10,4,9,5,11,8,6&7&12 x1
  • 1,3,2,8,11,9,12,6,4,5,7&10 x1
  • 1,3,2,8,11,9,6,12,10,4,5&7 x1
  • 1,3,4,13,11,6,2,5,8,9,7&10&12 x1
  • 1,3,4,5,2,7,9,11,12,13,6&8&10 x1
  • 1,3,8,10,2&4&5&6&7&9&11&12 x1
  • 1,3,8,11,7,9,2,4,13,10,5&6&12 x1
  • 1,3,8,4,5,9,10,2,6,7,11&12 x1
  • 1,3,8,5,7,4,2,11,10,13,6&9&12 x1
  • 1,3,9,11,2,5,6,13,4,8,7&10&12 x1
  • 1,4,13,3,7,9,2,8,11,12,5&6&10 x1
  • 1,4,13,8,5,11,10,9,2,3,6&7&12 x1
  • 1,4,3,10,8,9,5,13,2,7&12,6&11 x1
  • 1,4,3,7,9,8,10,2&12,11,13,5&6 x1
  • 1,4,6,13,8,7,12,3,10,2&5&9&11 x1
  • 1,4,6,3,5,8,11,2,13,10,7&9&12 x1
  • 1,4,7,13,6,9,10,11,3,2,5&8&12 x1
  • 1,4,8,10,5,3,7,13,2,12,6&9&11 x1
  • 1,4,8,10,7,12,13,3,5,11,2&6&9 x1
  • 1,4,9,3,7,10,2,13,5&6&8&11&12 x1
  • 1,5&7,10,13,3,2,4,8,11,6&9&12 x1
  • [Remaining ballots not listed]

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