First Round | Next Round | Final Round | Depth | Slices | How it works | Main Page

Round 1  Votes  2671 13/84 (14.3%) Max Walser, Nancy     3842    (20.5%)  1 Fantini, Alfred B.     2905    (15.5%)  1 McGovern, Marc C.     2716    (14.5%)  1 Lummis, Ben     2604    (13.9%)  1 Harding, Richard, Jr.     2362    (12.6%)  1 Grassi, Joseph G.     2295    (12.3%)  1 Price, Alan C.     1301    (7.0%)  1 Craig, Christopher     573    (3.1%)  1 Write-in 1     95    (0.5%)  1 Write-in 2     3    (0.0%)  1 Write-in 3     2    (0.0%)  1           Results       Fantini, Alfred B. Elected     McGovern, Marc C. Elected     Walser, Nancy Elected               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Fantini, Alfred B. 233 71/84 76/84 1: 2380   McGovern, Marc C. 44 71/84 83/84 1: 2303   Walser, Nancy 1170 71/84 53/84 1: 3076

Each ballot initially counts toward its highest-ranked eligible choice. However, in future rounds, a maximum fraction of a ballot may be imposed on a candidate. This allows voters for popular winners (or for eliminated losers) to help unelected candidates or candidates elected later. If there are no such candidates, the leftover fraction goes back to the first winner, or count toward "none of these" if there are no ranked winners.

The ballot fraction precision is equal to 1/Seats(Seats+1), which ensures that winners can always be kept between Enough votes to win, more than (Total Votes for Candidates)/(Seats+1), and the Ideal Number of votes, (Total Votes for Candidates)/Seats.
If all winners have at least "Enough" votes, it is impossible to elect too many candidates. This number is Ballots/(Seats+1) plus the smallest fraction.
If all winners have exactly the Ideal Number of votes, and they each have an equal voice, everyone who voted for a winner is equally represented.
The dotted line on the graph represents Enough votes.
The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 2  Votes  2671 13/84 (14.3%) Max Walser, Nancy     2732 64/84  (14.6%)  53/84 Fantini, Alfred B.     2791 42/84  (14.9%)  76/84 McGovern, Marc C.     2857 42/84  (15.3%)  83/84 Lummis, Ben     2857 14/84  (15.3%)  1 Harding, Richard, Jr.     2602 1/84  (13.9%)  1 Grassi, Joseph G.     2514 26/84  (13.4%)  1 Price, Alan C.     1593 9/84  (8.5%)  1 Craig, Christopher     646 68/84  (3.5%)  1 Write-in 1     97 69/84  (0.5%)  1 Write-in 2     3 1/84  (0.0%)  1 Write-in 3     2    (0.0%)  1           Results       Fantini, Alfred B. Equalized     Lummis, Ben Elected     McGovern, Marc C. Equalized     Walser, Nancy Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Fantini, Alfred B. 120 29/84 71/84 76/84: 2380 31/84: 253 1/84: 191   Lummis, Ben 186 1/84 75/84 1: 2252 31/84: 468 8/84: 102 1/84: 614   McGovern, Marc C. 186 29/84 74/84 83/84: 2303 31/84: 318 8/84: 155   Walser, Nancy 61 51/84 50/84 53/84: 3076 8/84: 165 1/84: 354

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 3  Votes  2671 13/84 (14.3%) Max Walser, Nancy     2740 54/84  (14.7%)  50/84 Fantini, Alfred B.     2699 34/84  (14.4%)  71/84 McGovern, Marc C.     2717 22/84  (14.5%)  74/84 Lummis, Ben     2725 5/84  (14.6%)  75/84 Harding, Richard, Jr.     2691 78/84  (14.4%)  1 Grassi, Joseph G.     2631 18/84  (14.1%)  1 Price, Alan C.     1696 33/84  (9.1%)  1 Craig, Christopher     692 3/84  (3.7%)  1 Write-in 1     98 79/84  (0.5%)  1 Write-in 2     3 10/84  (0.0%)  1 Write-in 3     2    (0.0%)  1           Results       Harding, Richard, Jr. Elected     Lummis, Ben Equalized     McGovern, Marc C. Equalized     Walser, Nancy Equalized     Fantini, Alfred B. Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Harding, Richard, Jr. 20 65/84 82/84 1: 1805 34/84: 509 13/84: 176 10/84: 238 9/84: 217   Lummis, Ben 53 76/84 72/84 75/84: 2252 34/84: 468 13/84: 102 10/84: 614   McGovern, Marc C. 46 9/84 71/84 74/84: 2303 34/84: 318 13/84: 155 9/84: 637   Walser, Nancy 69 41/84 47/84 50/84: 3076 13/84: 165 10/84: 354 9/84: 356   Fantini, Alfred B. 28 21/84 70/84 71/84: 2380 35/84: 253 11/84: 287

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 4  Votes  2671 13/84 (14.3%) Max Walser, Nancy     2675 36/84  (14.3%)  47/84 Fantini, Alfred B.     2700 30/84  (14.4%)  70/84 McGovern, Marc C.     2683 34/84  (14.4%)  71/84 Lummis, Ben     2699 70/84  (14.4%)  72/84 Harding, Richard, Jr.     2691 15/84  (14.4%)  82/84 Grassi, Joseph G.     2672 52/84  (14.3%)  1 Price, Alan C.     1758 49/84  (9.4%)  1 Craig, Christopher     711 74/84  (3.8%)  1 Write-in 1     99 47/84  (0.5%)  1 Write-in 2     3 13/84  (0.0%)  1 Write-in 3     2    (0.0%)  1           Results       Grassi, Joseph G. Elected               Histograms  Surplus   New Max  Votes: Ballots   Grassi, Joseph G. 1 39/84 1 1: 1787 37/84: 179 14/84: 932 13/84: 111 12/84: 71 2/84: 285

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

There is a newly elected candidate whose maximum could not be reduced. The surplus is lower than the number of ballots in the first histogram bin (the ballots counting the largest fraction toward the candidate) times the smallest fraction, so they cannot all transfer that fraction without exceeding the surplus.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 5  Votes  2671 13/84 (14.3%) Max Walser, Nancy     2675 36/84  (14.3%)  47/84 Fantini, Alfred B.     2700 30/84  (14.4%)  70/84 McGovern, Marc C.     2683 34/84  (14.4%)  71/84 Lummis, Ben     2699 70/84  (14.4%)  72/84 Harding, Richard, Jr.     2691 15/84  (14.4%)  82/84 Grassi, Joseph G.     2672 52/84  (14.3%)  1 Price, Alan C.     1758 49/84  (9.4%)  1 Craig, Christopher     711 74/84  (3.8%)  1 Write-in 1     99 47/84  (0.5%)  1 Write-in 2     3 13/84  (0.0%)  1 Write-in 3     2    (0.0%)  1           Results       Write-in 3 Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 6  Votes  2670 73/84 (14.3%) Max Walser, Nancy     2675 36/84  (14.3%)  47/84 Fantini, Alfred B.     2700 30/84  (14.4%)  70/84 McGovern, Marc C.     2683 34/84  (14.4%)  71/84 Lummis, Ben     2699 70/84  (14.4%)  72/84 Harding, Richard, Jr.     2691 15/84  (14.4%)  82/84 Grassi, Joseph G.     2672 52/84  (14.3%)  1 Price, Alan C.     1758 49/84  (9.4%)  1 Craig, Christopher     711 74/84  (3.8%)  1 Write-in 1     99 47/84  (0.5%)  1 Write-in 2     3 13/84  (0.0%)  1 None of these     2                Results       Write-in 2 Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 7  Votes  2670 37/84 (14.3%) Max Walser, Nancy     2675 36/84  (14.3%)  47/84 Fantini, Alfred B.     2700 30/84  (14.4%)  70/84 McGovern, Marc C.     2683 47/84  (14.4%)  71/84 Lummis, Ben     2699 70/84  (14.4%)  72/84 Harding, Richard, Jr.     2691 15/84  (14.4%)  82/84 Grassi, Joseph G.     2672 52/84  (14.3%)  1 Price, Alan C.     1758 49/84  (9.4%)  1 Craig, Christopher     711 74/84  (3.8%)  1 Write-in 1     99 47/84  (0.5%)  1 None of these     5                Results       Write-in 1 Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 8  Votes  2661 25/84 (14.3%) Max Walser, Nancy     2684 58/84  (14.4%)  47/84 Fantini, Alfred B.     2702 68/84  (14.5%)  70/84 McGovern, Marc C.     2687 77/84  (14.4%)  71/84 Lummis, Ben     2706 61/84  (14.5%)  72/84 Harding, Richard, Jr.     2696 60/84  (14.5%)  82/84 Grassi, Joseph G.     2673 13/84  (14.3%)  1 Price, Alan C.     1762 43/84  (9.5%)  1 Craig, Christopher     714 40/84  (3.8%)  1 None of these     69                Results       Craig, Christopher Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 9  Votes  2650 13/84 (14.3%) Max Walser, Nancy     2746 41/84  (14.8%)  47/84 Fantini, Alfred B.     2779 83/84  (15.0%)  70/84 McGovern, Marc C.     2826 65/84  (15.2%)  71/84 Lummis, Ben     2926 49/84  (15.8%)  72/84 Harding, Richard, Jr.     2734 21/84  (14.7%)  82/84 Grassi, Joseph G.     2725 25/84  (14.7%)  1 Price, Alan C.     1811 52/84  (9.8%)  1 None of these     147                Results       Price, Alan C. Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 10  Votes  3070 42/84 (16.7%) Max Walser, Nancy     3093 70/84  (16.8%)  47/84 Fantini, Alfred B.     2932 55/84  (15.9%)  70/84 McGovern, Marc C.     3074 81/84  (16.7%)  71/84 Lummis, Ben     3299 34/84  (17.9%)  72/84 Harding, Richard, Jr.     3222 42/84  (17.5%)  82/84 Grassi, Joseph G.     2799 54/84  (15.2%)  1 None of these     275                Results       Harding, Richard, Jr. Equalized     Lummis, Ben Equalized     McGovern, Marc C. Equalized     Walser, Nancy Equalized     Fantini, Alfred B. Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Harding, Richard, Jr. 152   65/84 82/84: 1935 37/84: 600 14/84: 191 13/84: 301 12/84: 286   Lummis, Ben 228 76/84 56/84 72/84: 2595 37/84: 562 14/84: 116 13/84: 599 2/84: 275   McGovern, Marc C. 4 39/84 60/84 71/84: 2478 37/84: 404 19/84: 681 14/84: 170 8/84: 217   Walser, Nancy 23 28/84 39/84 47/84: 3363 19/84: 413 14/84: 195 13/84: 441 8/84: 329   Fantini, Alfred B.     69/84 70/84: 2481 45/84: 415 28/84: 121 23/84: 217 18/84: 216

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Only winners remain, so the dotted line is raised to the Ideal Number.
Go to the next round

First Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 11  Votes  3070 42/84 (16.7%) Max Walser, Nancy     3108 38/84  (16.9%)  39/84 Fantini, Alfred B.     3081 20/84  (16.7%)  69/84 McGovern, Marc C.     3090 40/84  (16.8%)  60/84 Lummis, Ben     3092 83/84  (16.8%)  56/84 Harding, Richard, Jr.     3072 69/84  (16.7%)  65/84 Grassi, Joseph G.     2977 2/84  (16.2%)  1 None of these     275                Results         Fantini, Alfred B. Elected     Grassi, Joseph G. Elected     Harding, Richard, Jr. Elected     Lummis, Ben Elected     McGovern, Marc C. Elected     Walser, Nancy Elected

No further maximum reductions are allowed, so the count is complete. All winners should be near the Ideal Number of votes. Usually most ballots count toward their highest-ranked winner. Some count for two winners, but rarely more than that. See the slice report. The depth report shows the contribution of lower choices to the result. The "none of these" pile is an accurate measure of unsatisfied voters.

First Round | Final Round | Depth | Slices | How it works | Main Page

Rank	Fraction of votes for winners
1st	70.4%
2nd	22.2%
3rd	7.0%
4th	0.4%

First Round | Final Round | Depth | Slices | How it works | Main Page

Slices	Percentage of ballots with that many slices
1	30.2%
2	69.8%