# Link Prediction and Association Rules

# Introduction

Nestimate provides two complementary tools for discovering hidden structure in networks:

- Link prediction — which transitions are structurally expected but missing?
- Association rules — which activities co-occur within sessions?

Both integrate with `cograph::plot_simplicial()` via the `pathways()` method.

# Data

We use the bundled `group_regulation_long` dataset — self-regulated learning sequences from 2000 students with `Achiever` (High/Low) grouping.

    library(Nestimate)
    data(group_regulation_long)
    head(group_regulation_long)

Actor | Achiever | Group | Course | Time | Action
--- | --- | --- | --- | --- | ---
1 | High | 1 | A | 2025-01-01 10:27:07 | cohesion
1 | High | 1 | A | 2025-01-01 10:35:20 | consensus
1 | High | 1 | A | 2025-01-01 10:42:18 | discuss
1 | High | 1 | A | 2025-01-01 10:50:00 | synthesis
1 | High | 1 | A | 2025-01-01 10:52:25 | adapt
1 | High | 1 | A | 2025-01-01 10:57:31 | consensus

    net <- build_network(
      group_regulation_long, method = "relative",
      actor = "Actor", action = "Action", time = "Time"
    )
    net
    #> Transition Network (relative probabilities) [directed]
    #>   Weights: [0.001, 0.498]  |  mean: 0.116
    #>
    #>   Weight matrix:
    #>              adapt cohesion consensus coregulate discuss emotion monitor  plan
    #>   adapt      0.000    0.273     0.477      0.022   0.059   0.120   0.033 0.016
    #>   cohesion   0.003    0.027     0.498      0.119   0.060   0.116   0.033 0.141
    #>   consensus  0.005    0.015     0.082      0.188   0.188   0.073   0.047 0.396
    #>   coregulate 0.016    0.036     0.135      0.023   0.274   0.172   0.086 0.239
    #>   discuss    0.071    0.048     0.321      0.084   0.195   0.106   0.022 0.012
    #>   emotion    0.002    0.325     0.320      0.034   0.102   0.077   0.036 0.100
    #>   monitor    0.011    0.056     0.159      0.058   0.375   0.091   0.018 0.216
    #>   plan       0.001    0.025     0.290      0.017   0.068   0.147   0.076 0.374
    #>   synthesis  0.235    0.034     0.466      0.044   0.063   0.071   0.012 0.075
    #>              synthesis
    #>   adapt          0.000
    #>   cohesion       0.004
    #>   consensus      0.008
    #>   coregulate     0.019
    #>   discuss        0.141
    #>   emotion        0.003
    #>   monitor        0.016
    #>   plan           0.002
    #>   synthesis      0.000
    #>
    #>   Initial probabilities:
    #>   consensus     0.214  ████████████████████████████████████████
    #>   plan          0.204  ██████████████████████████████████████
    #>   discuss       0.175  █████████████████████████████████
    #>   emotion       0.151  ████████████████████████████
    #>   monitor       0.144  ███████████████████████████
    #>   cohesion      0.060  ███████████
    #>   synthesis     0.019  ████
    #>   coregulate    0.019  ████
    #>   adapt         0.011  ██

# Link Prediction

## Running predictions

`predict_links()` runs six methods by default and ranks them by consensus:

    pred <- predict_links(net, exclude_existing = FALSE)
    pred
    #> Link Prediction  [directed | weighted | 9 nodes | 71 existing edges]
    #>   Methods: common_neighbors, resource_allocation, adamic_adar, jaccard, preferential_attachment, katz
    #>
    #>   Top predicted links (consensus across 6 methods):
    #>     1. discuss -> consensus  (avg rank: 5.5, agreed: 6/6)
    #>     2. plan -> consensus  (avg rank: 5.5, agreed: 6/6)
    #>     3. cohesion -> consensus  (avg rank: 6.0, agreed: 6/6)
    #>     4. consensus -> cohesion  (avg rank: 6.2, agreed: 6/6)
    #>     5. emotion -> consensus  (avg rank: 7.8, agreed: 6/6)
    #>     6. consensus -> discuss  (avg rank: 10.5, agreed: 6/6)
    #>     7. coregulate -> consensus  (avg rank: 12.0, agreed: 6/6)
    #>     8. plan -> discuss  (avg rank: 13.3, agreed: 6/6)
    #>     9. consensus -> plan  (avg rank: 13.8, agreed: 6/6)
    #>     10. consensus -> coregulate  (avg rank: 14.0, agreed: 6/6)
    #>     ... and 62 more predictions

The consensus ranking averages each pair’s rank across all methods — pairs consistently ranked high are the strongest predictions:

    head(pred$consensus, 10)

from | to | avg_rank | n_methods | consensus_rank
--- | --- | --- | --- | ---
discuss | consensus | 5.500000 | 6 | 1
plan | consensus | 5.500000 | 6 | 2
cohesion | consensus | 6.000000 | 6 | 3
consensus | cohesion | 6.166667 | 6 | 4
emotion | consensus | 7.833333 | 6 | 5
consensus | discuss | 10.500000 | 6 | 6
coregulate | consensus | 12.000000 | 6 | 7
plan | discuss | 13.333333 | 6 | 8
consensus | plan | 13.833333 | 6 | 9
consensus | coregulate | 14.000000 | 6 | 10

## Choosing a method

You can also run a single method:

    pred_katz <- predict_links(net, methods = "katz", exclude_existing = FALSE)
    pred_katz
    #> Link Prediction  [directed | weighted | 9 nodes | 71 existing edges]
    #>   Methods: katz
    #>
    #>   Top predicted links (katz):
    #>     1. discuss -> cohesion  (score: 1.0631)
    #>     2. emotion -> cohesion  (score: 1.0631)
    #>     3. monitor -> cohesion  (score: 1.0631)
    #>     4. cohesion -> consensus  (score: 1.0631)
    #>     5. discuss -> consensus  (score: 1.0631)
    #>     6. emotion -> consensus  (score: 1.0631)
    #>     7. monitor -> consensus  (score: 1.0631)
    #>     8. cohesion -> coregulate  (score: 1.0631)
    #>     9. emotion -> coregulate  (score: 1.0631)
    #>     10. cohesion -> discuss  (score: 1.0631)
    #>     ... and 62 more predictions

Method | Idea | Best for
--- | --- | ---
`common_neighbors` | Shared out- and in-neighbors | Dense local structure
`resource_allocation` | Shared neighbors weighted by 1/degree | Hub-dominated networks
`adamic_adar` | Shared neighbors weighted by 1/log(degree) | General-purpose
`jaccard` | Shared / union neighbors | Cross-network comparison
`preferential_attachment` | out-degree(i) x in-degree(j) | Scale-free networks
`katz` | All paths weighted by length | Global structure

## Sparse networks

Link prediction is most useful when edges are missing. Threshold the network to create gaps, then predict what’s missing:

    net_sparse <- build_network(
      group_regulation_long, method = "relative",
      actor = "Actor", action = "Action", time = "Time",
      threshold = 0.05
    )
    pred_sparse <- predict_links(net_sparse, methods = "resource_allocation")
    pred_sparse
    #> Link Prediction  [directed | weighted | 9 nodes | 42 existing edges]
    #>   Methods: resource_allocation
    #>
    #>   Top predicted links (resource_allocation):
    #>     1. consensus -> cohesion  (score: 0.0417)
    #>     2. discuss -> plan  (score: 0.0360)
    #>     3. emotion -> adapt  (score: 0.0264)
    #>     4. consensus -> adapt  (score: 0.0239)
    #>     5. plan -> coregulate  (score: 0.0231)
    #>     6. discuss -> cohesion  (score: 0.0219)
    #>     7. plan -> cohesion  (score: 0.0200)
    #>     8. synthesis -> cohesion  (score: 0.0183)
    #>     9. cohesion -> synthesis  (score: 0.0183)
    #>     10. cohesion -> adapt  (score: 0.0182)
    #>     ... and 20 more predictions

## Evaluating predictions

Use the full network’s edges as ground truth to evaluate predictions from the sparse network:

    true_edges <- extract_edges(net)
    pred_eval <- predict_links(net_sparse, exclude_existing = FALSE)
    evaluate_links(pred_eval, true_edges[, c("from", "to")], k = c(3, 5, 10))

method | auc | average_precision | precision_at_3 | precision_at_5 | precision_at_10
--- | --- | --- | --- | --- | ---
common_neighbors | NA | 1 | 1 | 1 | 1
resource_allocation | NA | 1 | 1 | 1 | 1
adamic_adar | NA | 1 | 1 | 1 | 1
jaccard | NA | 1 | 1 | 1 | 1
preferential_attachment | NA | 1 | 1 | 1 | 1
katz | NA | 1 | 1 | 1 | 1

## Per-group predictions

Build separate networks per group and predict within each:

    nets <- build_network(
      group_regulation_long, method = "relative",
      actor = "Actor", action = "Action", time = "Time",
      group = "Achiever", threshold = 0.05
    )
    lapply(nets, function(g) predict_links(g, methods = "katz", top_n = 3))
    #> $High
    #> Link Prediction  [directed | weighted | 9 nodes | 38 existing edges]
    #>   Methods: katz
    #>
    #>   Top predicted links (katz):
    #>     1. discuss -> plan  (score: 1.4836)
    #>     2. cohesion -> discuss  (score: 1.1532)
    #>     3. synthesis -> discuss  (score: 0.9990)
    #>
    #> $Low
    #> Link Prediction  [directed | weighted | 9 nodes | 44 existing edges]
    #>   Methods: katz
    #>
    #>   Top predicted links (katz):
    #>     1. discuss -> plan  (score: 1.1003)
    #>     2. synthesis -> plan  (score: 0.9448)
    #>     3. adapt -> plan  (score: 0.8393)

## Extracting pathways

`pathways()` converts predictions into strings for `cograph::plot_simplicial()`. With `evidence = TRUE` (default), each predicted edge is enriched with common neighbors that structurally bridge source to target:

    pathways(pred_sparse, top = 5, evidence = TRUE)
    #> [1] "consensus emotion -> cohesion"
    #> [2] "discuss consensus coregulate emotion -> plan"
    #> [3] "emotion discuss -> adapt"
    #> [4] "consensus discuss -> adapt"
    #> [5] "plan consensus discuss monitor -> coregulate"

`"A cn1 cn2 -> B"` means: A is predicted to connect to B, with cn1 and cn2 as the bridging nodes. Without evidence:

    pathways(pred_sparse, top = 5, evidence = FALSE)
    #> [1] "consensus -> cohesion" "discuss -> plan"       "emotion -> adapt"
    #> [4] "consensus -> adapt"    "plan -> coregulate"

# Association Rules

## Basic usage

`association_rules()` treats each sequence as a basket of its unique states, then finds co-occurrence patterns via Apriori:

    rules <- association_rules(net, min_support = 0.3,
                               min_confidence = 0.5, min_lift = 1.0)
    rules
    #> Association Rules  [640 rules | 8 items | 2000 transactions]
    #>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 1.00
    #>
    #>   Top rules (by lift):
    #>     1. cohesion, coregulate -> discuss, emotion, plan  (sup=0.302 conf=0.772 lift=1.36)
    #>     2. discuss, emotion, plan -> cohesion, coregulate  (sup=0.302 conf=0.534 lift=1.36)
    #>     3. cohesion, coregulate -> consensus, discuss, emotion  (sup=0.316 conf=0.807 lift=1.35)
    #>     4. consensus, discuss, emotion -> cohesion, coregulate  (sup=0.316 conf=0.529 lift=1.35)
    #>     5. cohesion, consensus, coregulate -> discuss, emotion  (sup=0.316 conf=0.827 lift=1.35)
    #>     6. discuss, emotion -> cohesion, consensus, coregulate  (sup=0.316 conf=0.516 lift=1.35)
    #>     7. cohesion, coregulate, plan -> discuss, emotion  (sup=0.302 conf=0.826 lift=1.35)
    #>     8. cohesion, discuss, plan -> coregulate, emotion  (sup=0.302 conf=0.672 lift=1.35)
    #>     9. coregulate, emotion -> cohesion, discuss, plan  (sup=0.302 conf=0.606 lift=1.35)
    #>     10. cohesion, coregulate -> discuss, emotion  (sup=0.320 conf=0.817 lift=1.34)
    #>     ... and 630 more rules

## Understanding the output

    summary(rules)
    #>                             antecedent                           consequent
    #>                    cohesion,coregulate                 discuss,emotion,plan
    #>                   discuss,emotion,plan                  cohesion,coregulate
    #>                    cohesion,coregulate            consensus,discuss,emotion
    #>              consensus,discuss,emotion                  cohesion,coregulate
    #>          cohesion,consensus,coregulate                      discuss,emotion
    #>                        discuss,emotion        cohesion,consensus,coregulate
    #>               cohesion,coregulate,plan                      discuss,emotion
    #>                  cohesion,discuss,plan                   coregulate,emotion
    #>                     coregulate,emotion                cohesion,discuss,plan
    #>                    cohesion,coregulate                      discuss,emotion
    #>                        discuss,emotion                  cohesion,coregulate
    #>             cohesion,consensus,discuss                   coregulate,emotion
    #>                     coregulate,emotion           cohesion,consensus,discuss
    #>             coregulate,discuss,emotion                        cohesion,plan
    #>                          cohesion,plan           coregulate,discuss,emotion
    #>             coregulate,discuss,emotion                   cohesion,consensus
    #>                     cohesion,consensus           coregulate,discuss,emotion
    #>                coregulate,emotion,plan                     cohesion,discuss
    #>                       cohesion,discuss              coregulate,emotion,plan
    #>           consensus,coregulate,emotion                     cohesion,discuss
    #>                       cohesion,discuss         consensus,coregulate,emotion
    #>                     coregulate,emotion              cohesion,consensus,plan
    #>                cohesion,consensus,plan                   coregulate,emotion
    #>           consensus,coregulate,emotion                        cohesion,plan
    #>                          cohesion,plan         consensus,coregulate,emotion
    #>                coregulate,emotion,plan                   cohesion,consensus
    #>                     cohesion,consensus              coregulate,emotion,plan
    #>                       cohesion,discuss                   coregulate,emotion
    #>                     coregulate,emotion                     cohesion,discuss
    #>                    cohesion,coregulate               consensus,emotion,plan
    #>                 consensus,emotion,plan                  cohesion,coregulate
    #>                     coregulate,emotion                        cohesion,plan
    #>                          cohesion,plan                   coregulate,emotion
    #>                     cohesion,consensus                 discuss,emotion,plan
    #>                   discuss,emotion,plan                   cohesion,consensus
    #>               cohesion,coregulate,plan                    consensus,emotion
    #>          cohesion,consensus,coregulate                         emotion,plan
    #>                cohesion,consensus,plan                      discuss,emotion
    #>                        discuss,emotion              cohesion,consensus,plan
    #>                          cohesion,plan            consensus,discuss,emotion
    #>              consensus,discuss,emotion                        cohesion,plan
    #>                     coregulate,emotion                   cohesion,consensus
    #>                     cohesion,consensus                   coregulate,emotion
    #>               cohesion,discuss,emotion                      coregulate,plan
    #>                        coregulate,plan             cohesion,discuss,emotion
    #>            cohesion,coregulate,discuss                    consensus,emotion
    #>                        coregulate,plan            consensus,discuss,emotion
    #>              consensus,discuss,emotion                      coregulate,plan
    #>            cohesion,coregulate,discuss                         emotion,plan
    #>              consensus,emotion,monitor                         discuss,plan
    #>                          cohesion,plan                      discuss,emotion
    #>                        discuss,emotion                        cohesion,plan
    #>                    cohesion,coregulate                         emotion,plan
    #>                     cohesion,consensus                      discuss,emotion
    #>                        discuss,emotion                   cohesion,consensus
    #>              consensus,coregulate,plan                      discuss,emotion
    #>                        discuss,emotion            consensus,coregulate,plan
    #>                    cohesion,coregulate                    consensus,emotion
    #>                   discuss,emotion,plan                 consensus,coregulate
    #>                   consensus,coregulate                 discuss,emotion,plan
    #>             cohesion,consensus,emotion                      coregulate,plan
    #>                        coregulate,plan           cohesion,consensus,emotion
    #>             cohesion,consensus,discuss                      coregulate,plan
    #>                        coregulate,plan           cohesion,consensus,discuss
    #>          cohesion,consensus,coregulate                         discuss,plan
    #>                     coregulate,monitor                         discuss,plan
    #>                  cohesion,discuss,plan                 consensus,coregulate
    #>                   consensus,coregulate                cohesion,discuss,plan
    #>             cohesion,consensus,emotion                   coregulate,discuss
    #>                     coregulate,discuss           cohesion,consensus,emotion
    #>               cohesion,discuss,emotion                 consensus,coregulate
    #>                   consensus,coregulate             cohesion,discuss,emotion
    #>                        emotion,monitor               consensus,discuss,plan
    #>                 consensus,discuss,plan                      emotion,monitor
    #>                    cohesion,coregulate               consensus,discuss,plan
    #>                  cohesion,discuss,plan                    consensus,emotion
    #>                      consensus,emotion                cohesion,discuss,plan
    #>             coregulate,discuss,emotion                             cohesion
    #>                               cohesion           coregulate,discuss,emotion
    #>   consensus,coregulate,discuss,emotion                             cohesion
    #>                               cohesion consensus,coregulate,discuss,emotion
    #>                  cohesion,emotion,plan                   coregulate,discuss
    #>                     coregulate,discuss                cohesion,emotion,plan
    #>        coregulate,discuss,emotion,plan                             cohesion
    #>                               cohesion      coregulate,discuss,emotion,plan
    #>          cohesion,discuss,emotion,plan                           coregulate
    #>           consensus,coregulate,emotion                         discuss,plan
    #>                           discuss,plan         consensus,coregulate,emotion
    #>                        coregulate,plan                      discuss,emotion
    #>                        discuss,emotion                      coregulate,plan
    #>                coregulate,discuss,plan                   cohesion,consensus
    #>                     cohesion,consensus              coregulate,discuss,plan
    #>     cohesion,consensus,discuss,emotion                           coregulate
    #>                             coregulate   cohesion,consensus,discuss,emotion
    #>            cohesion,coregulate,emotion                         discuss,plan
    #>                     coregulate,emotion               consensus,discuss,plan
    #>                 consensus,discuss,plan                   coregulate,emotion
    #>                      consensus,monitor                 discuss,emotion,plan
    #>                   discuss,emotion,plan                    consensus,monitor
    #>                       cohesion,discuss            consensus,coregulate,plan
    #>              consensus,coregulate,plan                     cohesion,discuss
    #>                cohesion,consensus,plan                   coregulate,discuss
    #>                     coregulate,discuss              cohesion,consensus,plan
    #>                        emotion,monitor                         discuss,plan
    #>                           discuss,plan                      emotion,monitor
    #>      consensus,coregulate,emotion,plan                             cohesion
    #>                               cohesion    consensus,coregulate,emotion,plan
    #>                          cohesion,plan                    consensus,emotion
    #>                      consensus,emotion                        cohesion,plan
    #>                coregulate,emotion,plan                             cohesion
    #>                               cohesion              coregulate,emotion,plan
    #>                    cohesion,coregulate                         discuss,plan
    #>                          cohesion,plan         consensus,coregulate,discuss
    #>           consensus,coregulate,discuss                        cohesion,plan
    #>                  cohesion,emotion,plan                 consensus,coregulate
    #>                   consensus,coregulate                cohesion,emotion,plan
    #>                 consensus,monitor,plan                      discuss,emotion
    #>                        discuss,emotion               consensus,monitor,plan
    #>             cohesion,consensus,discuss                         emotion,plan
    #>                           emotion,plan           cohesion,consensus,discuss
    #>           consensus,coregulate,emotion                             cohesion
    #>                               cohesion         consensus,coregulate,emotion
    #>                     cohesion,consensus                         emotion,plan
    #>                           emotion,plan                   cohesion,consensus
    #>                coregulate,discuss,plan                     cohesion,emotion
    #>                       cohesion,emotion              coregulate,discuss,plan
    #>                       cohesion,discuss               consensus,emotion,plan
    #>                 consensus,emotion,plan                     cohesion,discuss
    #>        cohesion,consensus,discuss,plan                           coregulate
    #>                             coregulate      cohesion,consensus,discuss,plan
    #>                     coregulate,emotion                             cohesion
    #>                               cohesion                   coregulate,emotion
    #>         consensus,discuss,emotion,plan                           coregulate
    #>                             coregulate       consensus,discuss,emotion,plan
    #>                       cohesion,discuss                      coregulate,plan
    #>                        coregulate,plan                     cohesion,discuss
    #>                        discuss,monitor                      coregulate,plan
    #>                        coregulate,plan                      discuss,monitor
    #>               cohesion,discuss,emotion                           coregulate
    #>                             coregulate             cohesion,discuss,emotion
    #>                   consensus,coregulate                      discuss,emotion
    #>                        discuss,emotion                 consensus,coregulate
    #>                   discuss,emotion,plan                             cohesion
    #>                               cohesion                 discuss,emotion,plan
    #>                     coregulate,emotion                         discuss,plan
    #>                           discuss,plan                   coregulate,emotion
    #>                   discuss,emotion,plan                           coregulate
    #>                             coregulate                 discuss,emotion,plan
    #>                  cohesion,discuss,plan                           coregulate
    #>                             coregulate                cohesion,discuss,plan
    #>     cohesion,consensus,coregulate,plan                              emotion
    #>               cohesion,coregulate,plan                              emotion
    #>       cohesion,coregulate,discuss,plan                              emotion
    #>         consensus,discuss,emotion,plan                             cohesion
    #>                               cohesion       consensus,discuss,emotion,plan
    #>                               cohesion                      discuss,emotion
    #>                        discuss,emotion                             cohesion
    #>                     coregulate,discuss                   cohesion,consensus
    #>                     cohesion,consensus                   coregulate,discuss
    #>                           monitor,plan            consensus,discuss,emotion
    #>              consensus,discuss,emotion                         monitor,plan
    #>                          cohesion,plan                   coregulate,discuss
    #>                     coregulate,discuss                        cohesion,plan
    #>                       cohesion,emotion         consensus,coregulate,discuss
    #>           consensus,coregulate,discuss                     cohesion,emotion
    #>                               cohesion            consensus,discuss,emotion
    #>              consensus,discuss,emotion                             cohesion
    #>                       cohesion,emotion            consensus,coregulate,plan
    #>              consensus,coregulate,plan                     cohesion,emotion
    #>          cohesion,consensus,coregulate                              emotion
    #>                     cohesion,consensus                      coregulate,plan
    #>                        coregulate,plan                   cohesion,consensus
    #>                coregulate,discuss,plan                    consensus,emotion
    #>                      consensus,emotion              coregulate,discuss,plan
    #>                    cohesion,coregulate                              emotion
    #>  cohesion,consensus,coregulate,discuss                              emotion
    #>        cohesion,consensus,emotion,plan                           coregulate
    #>                             coregulate      cohesion,consensus,emotion,plan
    #>                       cohesion,discuss                    consensus,emotion
    #>                      consensus,emotion                     cohesion,discuss
    #>                       cohesion,discuss                 consensus,coregulate
    #>                   consensus,coregulate                     cohesion,discuss
    #>            cohesion,coregulate,discuss                              emotion
    #>                     coregulate,discuss               consensus,emotion,plan
    #>                 consensus,emotion,plan                   coregulate,discuss
    #>                      consensus,monitor                   coregulate,discuss
    #>                     coregulate,discuss                    consensus,monitor
    #>              consensus,discuss,emotion                           coregulate
    #>                             coregulate            consensus,discuss,emotion
    #>               cohesion,coregulate,plan                    consensus,discuss
    #>             cohesion,consensus,emotion                         discuss,plan
    #>                           discuss,plan           cohesion,consensus,emotion
    #>             cohesion,consensus,discuss                           coregulate
    #>                             coregulate           cohesion,consensus,discuss
    #>                       cohesion,discuss                         emotion,plan
    #>                           emotion,plan                     cohesion,discuss
    #>                     coregulate,monitor                    consensus,discuss
    #>                   consensus,coregulate                         discuss,plan
    #>                           discuss,plan                 consensus,coregulate
    #>                       cohesion,emotion                      coregulate,plan
    #>                        coregulate,plan                     cohesion,emotion
    #>                   discuss,monitor,plan                           coregulate
    #>                      consensus,monitor                         discuss,plan
    #>                           discuss,plan                    consensus,monitor
    #>                       cohesion,emotion                   coregulate,discuss
    #>                     coregulate,discuss                     cohesion,emotion
    #>             cohesion,consensus,emotion                           coregulate
    #>                             coregulate           cohesion,consensus,emotion
    #>                        discuss,monitor                 consensus,coregulate
    #>                   consensus,coregulate                      discuss,monitor
    #>                      consensus,monitor                      coregulate,plan
    #>                        coregulate,plan                    consensus,monitor
    #>                  cohesion,emotion,plan                           coregulate
    #>                             coregulate                cohesion,emotion,plan
    #>                coregulate,emotion,plan                    consensus,discuss
    #>                      consensus,discuss              coregulate,emotion,plan
    #>           consensus,coregulate,discuss                         emotion,plan
    #>                           emotion,plan         consensus,coregulate,discuss
    #>                          cohesion,plan                 consensus,coregulate
    #>                   consensus,coregulate                        cohesion,plan
    #>                           monitor,plan                   coregulate,discuss
    #>                     coregulate,discuss                         monitor,plan
    #>              consensus,discuss,monitor                           coregulate
    #>                             coregulate            consensus,discuss,monitor
    #>                   emotion,monitor,plan                    consensus,discuss
    #>                           monitor,plan                      discuss,emotion
    #>                        discuss,emotion                         monitor,plan
    #>                    cohesion,coregulate                    consensus,discuss
    #>            cohesion,coregulate,emotion                    consensus,discuss
    #>                        coregulate,plan                    consensus,emotion
    #>                      consensus,emotion                      coregulate,plan
    #>        cohesion,consensus,discuss,plan                              emotion
    #>                                emotion      cohesion,consensus,discuss,plan
    #>                cohesion,consensus,plan                              emotion
    #>                                emotion              cohesion,consensus,plan
    #>                      consensus,monitor                      discuss,emotion
    #>                        discuss,emotion                    consensus,monitor
    #>                  cohesion,discuss,plan                              emotion
    #>                                emotion                cohesion,discuss,plan
    #>                             coregulate                      discuss,emotion
    #>                        discuss,emotion                           coregulate
    #>                               cohesion               consensus,emotion,plan
    #>                 consensus,emotion,plan                             cohesion
    #>                   discuss,monitor,plan                    consensus,emotion
    #>                     cohesion,consensus                         discuss,plan
    #>                           discuss,plan                   cohesion,consensus
    #>              consensus,discuss,monitor                         emotion,plan
    #>                           emotion,plan            consensus,discuss,monitor
    #>                cohesion,consensus,plan                           coregulate
    #>                             coregulate              cohesion,consensus,plan
    #>                          cohesion,plan                              emotion
    #>                                emotion                        cohesion,plan
    #>                             coregulate               consensus,discuss,plan
    #>                 consensus,discuss,plan                           coregulate
    #>                       cohesion,discuss                           coregulate
    #>                             coregulate                     cohesion,discuss
    #>                        discuss,monitor               consensus,emotion,plan
    #>                 consensus,emotion,plan                      discuss,monitor
    #>                       cohesion,emotion                 consensus,coregulate
    #>                   consensus,coregulate                     cohesion,emotion
    #>      consensus,coregulate,discuss,plan                             cohesion
    #>                               cohesion    consensus,coregulate,discuss,plan
    #>                     coregulate,discuss                         emotion,plan
    #>                           emotion,plan                   coregulate,discuss
    #>                        coregulate,plan                    consensus,discuss
    #>                      consensus,discuss                      coregulate,plan
    #>                     coregulate,discuss                    consensus,emotion
    #>                      consensus,emotion                   coregulate,discuss
    #>             cohesion,consensus,discuss                              emotion
    #>                                emotion           cohesion,consensus,discuss
    #>                coregulate,discuss,plan                              monitor
    #>                                monitor              coregulate,discuss,plan
    #>                               cohesion                         emotion,plan
    #>                           emotion,plan                             cohesion
    #>                                monitor       consensus,discuss,emotion,plan
    #>         consensus,discuss,emotion,plan                              monitor
    #>                        emotion,monitor                    consensus,discuss
    #>                             coregulate                         discuss,plan
    #>                           discuss,plan                           coregulate
    #>                     cohesion,consensus                              emotion
    #>                                emotion                   cohesion,consensus
    #>                coregulate,discuss,plan                             cohesion
    #>                               cohesion              coregulate,discuss,plan
    #>                                monitor                 discuss,emotion,plan
    #>                   discuss,emotion,plan                              monitor
    #>                     coregulate,emotion                    consensus,discuss
    #>                      consensus,discuss                   coregulate,emotion
    #>                   consensus,coregulate                         emotion,plan
    #>                           emotion,plan                 consensus,coregulate
    #>                               cohesion                    consensus,emotion
    #>                      consensus,emotion                             cohesion
    #>                        discuss,monitor                           coregulate
    #>                             coregulate                      discuss,monitor
    #>           consensus,coregulate,monitor                              discuss
    #>                       cohesion,discuss                              emotion
    #>                                emotion                     cohesion,discuss
    #>                coregulate,monitor,plan                              discuss
    #>                 consensus,monitor,plan                           coregulate
    #>                             coregulate               consensus,monitor,plan
    #>                          cohesion,plan                           coregulate
    #>                             coregulate                        cohesion,plan
    #>                       cohesion,emotion               consensus,discuss,plan
    #>                 consensus,discuss,plan                     cohesion,emotion
    #>           consensus,coregulate,discuss                             cohesion
    #>                               cohesion         consensus,coregulate,discuss
    #>                           monitor,plan                 consensus,coregulate
    #>                   consensus,coregulate                         monitor,plan
    #>                             coregulate               consensus,emotion,plan
    #>                 consensus,emotion,plan                           coregulate
    #>                               cohesion                              emotion
    #>                                emotion                             cohesion
    #>                       cohesion,emotion                           coregulate
    #>                             coregulate                     cohesion,emotion
    #>                     cohesion,consensus                           coregulate
    #>                             coregulate                   cohesion,consensus
    #>                           discuss,plan                    consensus,emotion
    #>                      consensus,emotion                         discuss,plan
    #>                                monitor         consensus,coregulate,discuss
    #>           consensus,coregulate,discuss                              monitor
    #>              consensus,coregulate,plan                             cohesion
    #>                               cohesion            consensus,coregulate,plan
    #>          cohesion,consensus,coregulate                              discuss
    #>                       cohesion,emotion                         discuss,plan
    #>                           discuss,plan                     cohesion,emotion
    #>                discuss,emotion,monitor                       consensus,plan
    #>                     coregulate,discuss                             cohesion
    #>                               cohesion                   coregulate,discuss
    #>  cohesion,consensus,coregulate,emotion                              discuss
    #>     cohesion,consensus,coregulate,plan                              discuss
    #>                     coregulate,monitor                              discuss
    #>                  cohesion,emotion,plan                    consensus,discuss
    #>                      consensus,discuss                cohesion,emotion,plan
    #>                        discuss,monitor                         emotion,plan
    #>                           emotion,plan                      discuss,monitor
    #>      consensus,coregulate,discuss,plan                              emotion
    #>                                emotion    consensus,coregulate,discuss,plan
    #>                                monitor               consensus,discuss,plan
    #>                 consensus,discuss,plan                              monitor
    #>         consensus,emotion,monitor,plan                              discuss
    #>               cohesion,coregulate,plan                              discuss
    #>             coregulate,discuss,emotion                       consensus,plan
    #>                         consensus,plan           coregulate,discuss,emotion
    #>       cohesion,coregulate,emotion,plan                              discuss
    #>                        coregulate,plan                             cohesion
    #>                               cohesion                      coregulate,plan
    #>              consensus,emotion,monitor                              discuss
    #>                                monitor                   coregulate,discuss
    #>                     coregulate,discuss                              monitor
    #>                      consensus,monitor                         emotion,plan
    #>                           emotion,plan                    consensus,monitor
    #>                                monitor                         discuss,plan
    #>                           discuss,plan                              monitor
    #>                          cohesion,plan                    consensus,discuss
    #>                      consensus,discuss                        cohesion,plan
    #>      consensus,coregulate,emotion,plan                              discuss
    #>                                discuss    consensus,coregulate,emotion,plan
    #>                                monitor            consensus,discuss,emotion
    #>              consensus,discuss,emotion                              monitor
    #>                                monitor            consensus,coregulate,plan
    #>              consensus,coregulate,plan                              monitor
    #>                coregulate,discuss,plan                              emotion
    #>                                emotion              coregulate,discuss,plan
    #>                    cohesion,coregulate                              discuss
    #>                           monitor,plan                    consensus,discuss
    #>                      consensus,discuss                         monitor,plan
    #>                             coregulate                    consensus,emotion
    #>                      consensus,emotion                           coregulate
    #>            cohesion,coregulate,emotion                              discuss
    #>                      consensus,monitor                           coregulate
    #>                             coregulate                    consensus,monitor
    #>              consensus,coregulate,plan                              emotion
    #>                                emotion            consensus,coregulate,plan
    #>                             coregulate                    consensus,discuss
    #>                      consensus,discuss                           coregulate
    #>                             coregulate                         emotion,plan
    #>                           emotion,plan                           coregulate
    #>                   emotion,monitor,plan                              discuss
    #>                coregulate,emotion,plan                              discuss
    #>                                discuss              coregulate,emotion,plan
    #>                        discuss,monitor                    consensus,emotion
    #>                      consensus,emotion                      discuss,monitor
    #>            cohesion,coregulate,discuss                       consensus,plan
    #>           consensus,coregulate,emotion                              discuss
    #>                                discuss         consensus,coregulate,emotion
    #>                               cohesion               consensus,discuss,plan
    #>                 consensus,discuss,plan                             cohesion
    #>                                monitor                      coregulate,plan
    #>                        coregulate,plan                              monitor
    #>         consensus,discuss,monitor,plan                              emotion
    #>              consensus,coregulate,plan                              discuss
    #>                                discuss            consensus,coregulate,plan
    #>                           monitor,plan                    consensus,emotion
    #>                      consensus,emotion                         monitor,plan
    #>                                monitor                      discuss,emotion
    #>                        discuss,emotion                              monitor
    #>                           monitor,plan                           coregulate
    #>                             coregulate                         monitor,plan
    #>            cohesion,coregulate,emotion                       consensus,plan
    #>                        coregulate,plan                              emotion
    #>                                emotion                      coregulate,plan
    #>                        emotion,monitor                       consensus,plan
    #>                     coregulate,monitor                       consensus,plan
    #>           consensus,coregulate,discuss                              emotion
    #>                                emotion         consensus,coregulate,discuss
    #>                               cohesion                         discuss,plan
    #>                           discuss,plan                             cohesion
    #>                               cohesion                 consensus,coregulate
    #>                   consensus,coregulate                             cohesion
    #>                    cohesion,coregulate                       consensus,plan
    #>                        emotion,monitor                              discuss
    #>                        coregulate,plan                              discuss
    #>                                discuss                      coregulate,plan
    #>                   discuss,monitor,plan                              emotion
    #>                     coregulate,emotion                       consensus,plan
    #>                         consensus,plan                   coregulate,emotion
    #>                 consensus,monitor,plan                              discuss
    #>                                discuss               consensus,monitor,plan
    #>                     coregulate,emotion                              discuss
    #>                                discuss                   coregulate,emotion
    #>                   consensus,coregulate                              discuss
    #>                                discuss                 consensus,coregulate
    #>                     coregulate,discuss                              emotion
    #>                                emotion                   coregulate,discuss
    #>               cohesion,discuss,emotion                       consensus,plan
    #>                        discuss,emotion                       consensus,plan
    #>                         consensus,plan                      discuss,emotion
    #>             cohesion,consensus,emotion                              discuss
    #>                                discuss           cohesion,consensus,emotion
    #>                       cohesion,emotion                    consensus,discuss
    #>                      consensus,discuss                     cohesion,emotion
    #>                     coregulate,discuss                       consensus,plan
    #>                         consensus,plan                   coregulate,discuss
    #>        cohesion,consensus,emotion,plan                              discuss
    #>                cohesion,consensus,plan                              discuss
    #>                                discuss              cohesion,consensus,plan
    #>                           emotion,plan                    consensus,discuss
    #>                      consensus,discuss                         emotion,plan
    #>                      consensus,monitor                              discuss
    #>                                discuss                    consensus,monitor
    #>                               cohesion                           coregulate
    #>                             coregulate                             cohesion
    #>                   consensus,coregulate                              emotion
    #>                                emotion                 consensus,coregulate
    #>                 consensus,discuss,plan                              emotion
    #>                                emotion               consensus,discuss,plan
    #>                     cohesion,consensus                              discuss
    #>                                discuss                   cohesion,consensus
    #>      consensus,discuss,emotion,monitor                                 plan
    #>                                monitor                 consensus,coregulate
    #>                   consensus,coregulate                              monitor
    #>                                monitor               consensus,emotion,plan
    #>                 consensus,emotion,plan                              monitor
    #>              consensus,emotion,monitor                                 plan
    #>              consensus,discuss,monitor                              emotion
    #>                 consensus,monitor,plan                              emotion
    #>                                emotion               consensus,monitor,plan
    #>                  cohesion,emotion,plan                              discuss
    #>                                discuss                cohesion,emotion,plan
    #>                        discuss,monitor                       consensus,plan
    #>                discuss,emotion,monitor                                 plan
    #>                                monitor                    consensus,discuss
    #>                      consensus,discuss                              monitor
    #>                             coregulate                              discuss
    #>                                discuss                           coregulate
    #>                               cohesion                    consensus,discuss
    #>                      consensus,discuss                             cohesion
    #>   consensus,coregulate,discuss,emotion                                 plan
    #>                           discuss,plan                              emotion
    #>                                emotion                         discuss,plan
    #>                             coregulate                              emotion
    #>                                emotion                           coregulate
    #>                          cohesion,plan                              discuss
    #>                                discuss                        cohesion,plan
    #>                           monitor,plan                              discuss
    #>                                discuss                         monitor,plan
    #>           consensus,coregulate,monitor                                 plan
    #>  cohesion,consensus,coregulate,emotion                                 plan
    #>                                monitor                           coregulate
    #>                             coregulate                              monitor
    #>                                monitor                         emotion,plan
    #>                           emotion,plan                              monitor
    #>             coregulate,discuss,emotion                                 plan
    #>             coregulate,discuss,monitor                                 plan
    #>                       cohesion,discuss                       consensus,plan
    #>                         consensus,plan                     cohesion,discuss
    #>                                monitor                   cohesion,consensus
    #>                     cohesion,consensus                              monitor
    #>          cohesion,consensus,coregulate                                 plan
    #>                      consensus,monitor                             cohesion
    #>                               cohesion                    consensus,monitor
    #>  cohesion,consensus,coregulate,discuss                                 plan
    #>                        emotion,monitor                                 plan
    #>           consensus,coregulate,emotion                                 plan
    #>                                   plan         consensus,coregulate,emotion
    #>    cohesion,coregulate,discuss,emotion                                 plan
    #>                 consensus,emotion,plan                              discuss
    #>                                discuss               consensus,emotion,plan
    #>             cohesion,consensus,emotion                                 plan
    #>                                   plan           cohesion,consensus,emotion
    #>     cohesion,consensus,discuss,emotion                                 plan
    #>                       cohesion,emotion                       consensus,plan
    #>                         consensus,plan                     cohesion,emotion
    #>                           monitor,plan                              emotion
    #>                                emotion                         monitor,plan
    #>                        discuss,monitor                              emotion
    #>              consensus,discuss,monitor                                 plan
    #>              consensus,discuss,emotion                                 plan
    #>                                   plan            consensus,discuss,emotion
    #>            cohesion,coregulate,discuss                                 plan
    #>                       cohesion,emotion                              discuss
    #>                                discuss                     cohesion,emotion
    #>            cohesion,coregulate,emotion                                 plan
    #>                             coregulate                       consensus,plan
    #>                         consensus,plan                           coregulate
    #>                     coregulate,monitor                                 plan
    #>                                monitor                              discuss
    #>                                discuss                              monitor
    #>        coregulate,discuss,emotion,plan                            consensus
    #>           consensus,coregulate,discuss                                 plan
    #>                                   plan         consensus,coregulate,discuss
    #>                               cohesion                              discuss
    #>                                discuss                             cohesion
    #>                    cohesion,coregulate                                 plan
    #>       cohesion,coregulate,discuss,plan                            consensus
    #>           discuss,emotion,monitor,plan                            consensus
    #>                     coregulate,emotion                                 plan
    #>                                   plan                   coregulate,emotion
    #>                      consensus,monitor                                 plan
    #>                                   plan                    consensus,monitor
    #>                      consensus,monitor                              emotion
    #>                                emotion                    consensus,monitor
    #>                      consensus,emotion                              discuss
    #>                                discuss                    consensus,emotion
    #>       cohesion,coregulate,emotion,plan                            consensus
    #>                   discuss,emotion,plan                            consensus
    #>                              consensus                 discuss,emotion,plan
    #>                coregulate,monitor,plan                            consensus
    #>               cohesion,coregulate,plan                            consensus
    #>             coregulate,discuss,emotion                            consensus
    #>                                monitor                    consensus,emotion
    #>                      consensus,emotion                              monitor
    #>                coregulate,emotion,plan                            consensus
    #>                              consensus              coregulate,emotion,plan
    #>                coregulate,discuss,plan                            consensus
    #>                              consensus              coregulate,discuss,plan
    #>             cohesion,consensus,discuss                                 plan
    #>                                   plan           cohesion,consensus,discuss
    #>    cohesion,coregulate,discuss,emotion                            consensus
    #>             coregulate,discuss,monitor                            consensus
    #>               cohesion,discuss,emotion                                 plan
    #>                     cohesion,consensus                                 plan
    #>                                   plan                   cohesion,consensus
    #>          cohesion,discuss,emotion,plan                            consensus
    #>                      consensus,emotion                                 plan
    #>                                   plan                    consensus,emotion
    #>            cohesion,coregulate,discuss                            consensus
    #>                  cohesion,discuss,plan                            consensus
    #>                discuss,emotion,monitor                            consensus
    #>                     coregulate,discuss                                 plan
    #>                                   plan                   coregulate,discuss
    #>                        discuss,emotion                                 plan
    #>                                   plan                      discuss,emotion
    #>                   discuss,monitor,plan                            consensus
    #>                                emotion                    consensus,discuss
    #>                      consensus,discuss                              emotion
    #>                   emotion,monitor,plan                            consensus
    #>                   consensus,coregulate                                 plan
    #>                                   plan                 consensus,coregulate
    #>                                monitor                             cohesion
    #>                               cohesion                              monitor
    #>                        coregulate,plan                            consensus
    #>                              consensus                      coregulate,plan
    #>                                monitor                       consensus,plan
    #>                         consensus,plan                              monitor
    #>                           emotion,plan                              discuss
    #>                                discuss                         emotion,plan
    #>                        discuss,monitor                                 plan
    #>                  cohesion,emotion,plan                            consensus
    #>                           discuss,plan                            consensus
    #>                              consensus                         discuss,plan
    #>                                emotion                       consensus,plan
    #>                         consensus,plan                              emotion
    #>                     coregulate,discuss                            consensus
    #>                              consensus                   coregulate,discuss
    #>            cohesion,coregulate,emotion                            consensus
    #>                               cohesion                       consensus,plan
    #>                         consensus,plan                             cohesion
    #>                    cohesion,coregulate                            consensus
    #>                     coregulate,monitor                            consensus
    #>                     coregulate,emotion                            consensus
    #>                              consensus                   coregulate,emotion
    #>                        discuss,emotion                            consensus
    #>                              consensus                      discuss,emotion
    #>                          cohesion,plan                            consensus
    #>                              consensus                        cohesion,plan
    #>               cohesion,discuss,emotion                            consensus
    #>                           emotion,plan                            consensus
    #>                              consensus                         emotion,plan
    #>                       cohesion,discuss                                 plan
    #>                                   plan                     cohesion,discuss
    #>                       cohesion,emotion                                 plan
    #>                                   plan                     cohesion,emotion
    #>                        emotion,monitor                            consensus
    #>                       cohesion,discuss                            consensus
    #>                              consensus                     cohesion,discuss
    #>                                monitor                                 plan
    #>                                   plan                              monitor
    #>                        discuss,monitor                            consensus
    #>                             coregulate                                 plan
    #>                                   plan                           coregulate
    #>                             coregulate                            consensus
    #>                              consensus                           coregulate
    #>                           monitor,plan                            consensus
    #>                       cohesion,monitor                            consensus
    #>                                monitor                              emotion
    #>                                emotion                              monitor
    #>                      consensus,discuss                                 plan
    #>                                   plan                    consensus,discuss
    #>                                discuss                       consensus,plan
    #>                         consensus,plan                              discuss
    #>                                emotion                                 plan
    #>                                   plan                              emotion
    #>                                emotion                              discuss
    #>                                discuss                              emotion
    #>                               cohesion                                 plan
    #>                                   plan                             cohesion
    #>                                   plan                            consensus
    #>                              consensus                                 plan
    #>                                discuss                            consensus
    #>                              consensus                              discuss
    #>                       cohesion,emotion                            consensus
    #>                              consensus                     cohesion,emotion
    #>                                emotion                            consensus
    #>                              consensus                              emotion
    #>                                monitor                            consensus
    #>                              consensus                              monitor
    #>                               cohesion                            consensus
    #>                              consensus                             cohesion
    #>                                discuss                                 plan
    #>                                   plan                              discuss
    #>  support confidence   lift conviction count
    #>   0.3020     0.7724 1.3646     1.9067   604
    #>   0.3020     0.5336 1.3646     1.3057   604
    #>   0.3155     0.8069 1.3539     2.0922   631
    #>   0.3155     0.5294 1.3539     1.2940   631
    #>   0.3155     0.8270 1.3524     2.2456   631
    #>   0.3155     0.5159 1.3524     1.2777   631
    #>   0.3020     0.8263 1.3512     2.2362   604
    #>   0.3020     0.6719 1.3478     1.5283   604
    #>   0.3020     0.6058 1.3478     1.3966   604
    #>   0.3195     0.8171 1.3363     2.1245   639
    #>   0.3195     0.5225 1.3363     1.2754   639
    #>   0.3155     0.6621 1.3282     1.4843   631
    #>   0.3155     0.6329 1.3282     1.4260   631
    #>   0.3020     0.6809 1.3248     1.5233   604
    #>   0.3020     0.5875 1.3248     1.3493   604
    #>   0.3155     0.7114 1.3198     1.5973   631
    #>   0.3155     0.5853 1.3198     1.3421   631
    #>   0.3020     0.6495 1.3174     1.4463   604
    #>   0.3020     0.6126 1.3174     1.3809   604
    #>   0.3155     0.6492 1.3168     1.4452   631
    #>   0.3155     0.6400 1.3168     1.4276   631
    #>   0.3275     0.6570 1.3126     1.4561   655
    #>   0.3275     0.6543 1.3126     1.4509   655
    #>   0.3275     0.6739 1.3110     1.4902   655
    #>   0.3275     0.6372 1.3110     1.4166   655
    #>   0.3275     0.7043 1.3067     1.5590   655
    #>   0.3275     0.6076 1.3067     1.3634   655
    #>   0.3195     0.6481 1.3000     1.4250   639
    #>   0.3195     0.6409 1.3000     1.4120   639
    #>   0.3275     0.8376 1.2946     2.1736   655
    #>   0.3275     0.5062 1.2946     1.2332   655
    #>   0.3310     0.6640 1.2918     1.4464   662
    #>   0.3310     0.6440 1.2918     1.4086   662
    #>   0.3930     0.7291 1.2882     1.6022   786
    #>   0.3930     0.6943 1.2882     1.5082   786
    #>   0.3275     0.8960 1.2856     2.9144   655
    #>   0.3275     0.8585 1.2851     2.3455   655
    #>   0.3930     0.7852 1.2841     1.8088   786
    #>   0.3930     0.6427 1.2841     1.3979   786
    #>   0.3930     0.7646 1.2829     1.7162   786
    #>   0.3930     0.6594 1.2829     1.4269   786
    #>   0.3445     0.6911 1.2821     1.4923   689
    #>   0.3445     0.6391 1.2821     1.3898   689
    #>   0.3020     0.7040 1.2788     1.5184   604
    #>   0.3020     0.5486 1.2788     1.2649   604
    #>   0.3155     0.8887 1.2751     2.7232   631
    #>   0.4180     0.7593 1.2740     1.6785   836
    #>   0.4180     0.7013 1.2740     1.5051   836
    #>   0.3020     0.8507 1.2735     2.2238   604
    #>   0.3425     0.8760 1.2723     2.5113   685
    #>   0.3985     0.7753 1.2679     1.7289   797
    #>   0.3985     0.6517 1.2679     1.3953   797
    #>   0.3310     0.8465 1.2673     2.1635   662
    #>   0.4175     0.7746 1.2667     1.7235   835
    #>   0.4175     0.6827 1.2667     1.4531   835
    #>   0.4180     0.7741 1.2659     1.7196   836
    #>   0.4180     0.6836 1.2659     1.4537   836
    #>   0.3445     0.8811 1.2641     2.5478   689
    #>   0.4180     0.7385 1.2635     1.5890   836
    #>   0.4180     0.7151 1.2635     1.5236   836
    #>   0.3275     0.6953 1.2631     1.4754   655
    #>   0.3275     0.5949 1.2631     1.3059   655
    #>   0.3310     0.6946 1.2619     1.4721   662
    #>   0.3310     0.6013 1.2619     1.3129   662
    #>   0.3310     0.8676 1.2602     2.3532   662
    #>   0.3015     0.8676 1.2602     2.3532   603
    #>   0.3310     0.7364 1.2598     1.5761   662
    #>   0.3310     0.5663 1.2598     1.2693   662
    #>   0.3155     0.6699 1.2591     1.4175   631
    #>   0.3155     0.5930 1.2591     1.2999   631
    #>   0.3155     0.7354 1.2582     1.5705   631
    #>   0.3155     0.5398 1.2582     1.2407   631
    #>   0.3425     0.8478 1.2578     2.1415   685
    #>   0.3425     0.5082 1.2578     1.2118   685
    #>   0.3310     0.8465 1.2560     2.1244   662
    #>   0.3930     0.8743 1.2544     2.4106   786
    #>   0.3930     0.5638 1.2544     1.2622   786
    #>   0.3195     0.7204 1.2540     1.5218   639
    #>   0.3195     0.5561 1.2540     1.2538   639
    #>   0.3155     0.7195 1.2524     1.5169   631
    #>   0.3155     0.5492 1.2524     1.2455   631
    #>   0.3020     0.6659 1.2518     1.4009   604
    #>   0.3020     0.5677 1.2518     1.2641   604
    #>   0.3020     0.7182 1.2501     1.5099   604
    #>   0.3020     0.5257 1.2501     1.2217   604
    #>   0.3020     0.7578 1.2495     1.6250   604
    #>   0.4180     0.8601 1.2492     2.2263   836
    #>   0.4180     0.6071 1.2492     1.3083   836
    #>   0.4205     0.7639 1.2491     1.6451   841
    #>   0.4205     0.6877 1.2491     1.4391   841
    #>   0.3310     0.6721 1.2469     1.4058   662
    #>   0.3310     0.6141 1.2469     1.3151   662
    #>   0.3155     0.7557 1.2460     1.6106   631
    #>   0.3155     0.5202 1.2460     1.2140   631
    #>   0.3020     0.8567 1.2444     2.1743   604
    #>   0.4180     0.8385 1.2441     2.0188   836
    #>   0.4180     0.6202 1.2441     1.3204   836
    #>   0.3425     0.7040 1.2438     1.4663   685
    #>   0.3425     0.6051 1.2438     1.3004   685
    #>   0.3310     0.6714 1.2433     1.3999   662
    #>   0.3310     0.6130 1.2433     1.3100   662
    #>   0.3310     0.6613 1.2431     1.3819   662
    #>   0.3310     0.6222 1.2431     1.3221   662
    #>   0.3455     0.8552 1.2421     2.1512   691
    #>   0.3455     0.5018 1.2421     1.1963   691
    #>   0.3275     0.7127 1.2406     1.4812   655
    #>   0.3275     0.5701 1.2406     1.2572   655
    #>   0.4440     0.8638 1.2393     2.2249   888
    #>   0.4440     0.6370 1.2393     1.3389   888
    #>   0.3310     0.7118 1.2390     1.4765   662
    #>   0.3310     0.5762 1.2390     1.2622   662
    #>   0.3335     0.8529 1.2388     2.1182   667
    #>   0.3310     0.6440 1.2384     1.3482   662
    #>   0.3310     0.6365 1.2384     1.3371   662
    #>   0.3275     0.7222 1.2355     1.4955   655
    #>   0.3275     0.5603 1.2355     1.2429   655
    #>   0.3425     0.7552 1.2351     1.5873   685
    #>   0.3425     0.5601 1.2351     1.2423   685
    #>   0.3930     0.8248 1.2347     1.8946   786
    #>   0.3930     0.5883 1.2347     1.2716   786
    #>   0.3445     0.7088 1.2339     1.4614   689
    #>   0.3445     0.5997 1.2339     1.2839   689
    #>   0.4440     0.8237 1.2332     1.8837   888
    #>   0.4440     0.6647 1.2332     1.3748   888
    #>   0.3020     0.6132 1.2326     1.2991   604
    #>   0.3020     0.6070 1.2326     1.2915   604
    #>   0.3930     0.7972 1.2321     1.7403   786
    #>   0.3930     0.6074 1.2321     1.2915   786
    #>   0.3310     0.7472 1.2320     1.5564   662
    #>   0.3310     0.5458 1.2320     1.2262   662
    #>   0.3525     0.7071 1.2308     1.4528   705
    #>   0.3525     0.6136 1.2308     1.2978   705
    #>   0.4180     0.7464 1.2307     1.5518   836
    #>   0.4180     0.6892 1.2307     1.4157   836
    #>   0.3335     0.6765 1.2288     1.3894   667
    #>   0.3335     0.6058 1.2288     1.2862   667
    #>   0.3015     0.6760 1.2280     1.3874   603
    #>   0.3015     0.5477 1.2280     1.2248   603
    #>   0.3195     0.7448 1.2280     1.5417   639
    #>   0.3195     0.5268 1.2280     1.2067   639
    #>   0.4385     0.7502 1.2268     1.5553   877
    #>   0.4385     0.7171 1.2268     1.4687   877
    #>   0.3985     0.7041 1.2255     1.4378   797
    #>   0.3985     0.6936 1.2255     1.4167   797
    #>   0.4205     0.8435 1.2252     1.9908   841
    #>   0.4205     0.6107 1.2252     1.2884   841
    #>   0.4205     0.7429 1.2250     1.5307   841
    #>   0.4205     0.6933 1.2250     1.4152   841
    #>   0.3335     0.7419 1.2233     1.5248   667
    #>   0.3335     0.5499 1.2233     1.2230   667
    #>   0.3275     0.9059 1.2226     2.7538   655
    #>   0.3310     0.9056 1.2221     2.7439   662
    #>   0.3020     0.9055 1.2221     2.7421   604
    #>   0.3930     0.7018 1.2216     1.4268   786
    #>   0.3930     0.6841 1.2216     1.3927   786
    #>   0.4290     0.7467 1.2212     1.5340   858
    #>   0.4290     0.7016 1.2212     1.4257   858
    #>   0.3500     0.6579 1.2206     1.3475   700
    #>   0.3500     0.6494 1.2206     1.3347   700
    #>   0.3425     0.7272 1.2201     1.4808   685
    #>   0.3425     0.5747 1.2201     1.2437   685
    #>   0.3335     0.6488 1.2196     1.3327   667
    #>   0.3335     0.6269 1.2196     1.3025   667
    #>   0.3155     0.6342 1.2196     1.3121   631
    #>   0.3155     0.6067 1.2196     1.2778   631
    #>   0.4175     0.7267 1.2193     1.4783   835
    #>   0.4175     0.7005 1.2193     1.4207   835
    #>   0.3275     0.6583 1.2191     1.3462   655
    #>   0.3275     0.6065 1.2191     1.2769   655
    #>   0.3445     0.9030 1.2186     2.6705   689
    #>   0.3615     0.6707 1.2183     1.3650   723
    #>   0.3615     0.6567 1.2183     1.3428   723
    #>   0.4180     0.8487 1.2177     2.0031   836
    #>   0.4180     0.5997 1.2177     1.2678   836
    #>   0.3525     0.9015 1.2166     2.6304   705
    #>   0.3155     0.9014 1.2165     2.6275   631
    #>   0.3275     0.7376 1.2162     1.4997   655
    #>   0.3275     0.5400 1.2162     1.2087   655
    #>   0.4175     0.8469 1.2150     1.9785   835
    #>   0.4175     0.5990 1.2150     1.2643   835
    #>   0.3500     0.7099 1.2146     1.4325   700
    #>   0.3500     0.5988 1.2146     1.2637   700
    #>   0.3195     0.9000 1.2146     2.5900   639
    #>   0.4180     0.7857 1.2144     1.6473   836
    #>   0.4180     0.6461 1.2144     1.3223   836
    #>   0.3140     0.6454 1.2132     1.3199   628
    #>   0.3140     0.5902 1.2132     1.2531   628
    #>   0.4385     0.7357 1.2131     1.4891   877
    #>   0.4385     0.7230 1.2131     1.4585   877
    #>   0.3310     0.9056 1.2123     2.6803   662
    #>   0.3930     0.8344 1.2119     1.8810   786
    #>   0.3930     0.5708 1.2119     1.2325   786
    #>   0.3500     0.7345 1.2111     1.4822   700
    #>   0.3500     0.5771 1.2111     1.2378   700
    #>   0.3985     0.8083 1.2101     1.7320   797
    #>   0.3985     0.5966 1.2101     1.2567   797
    #>   0.3140     0.9036 1.2096     2.6244   628
    #>   0.4865     0.8323 1.2089     1.8579   973
    #>   0.4865     0.7066 1.2089     1.4162   973
    #>   0.3310     0.6653 1.2086     1.3431   662
    #>   0.3310     0.6013 1.2086     1.2603   662
    #>   0.3015     0.7327 1.2081     1.4720   603
    #>   0.4045     0.8314 1.2076     1.8481   809
    #>   0.4045     0.5875 1.2076     1.2449   809
    #>   0.3195     0.6422 1.2072     1.3080   639
    #>   0.3195     0.6006 1.2072     1.2580   639
    #>   0.3445     0.7314 1.2060     1.4651   689
    #>   0.3445     0.5680 1.2060     1.2246   689
    #>   0.3140     0.7040 1.2045     1.4039   628
    #>   0.3140     0.5372 1.2045     1.1971   628
    #>   0.3225     0.6629 1.2042     1.3334   645
    #>   0.3225     0.5858 1.2042     1.2398   645
    #>   0.3310     0.7299 1.2034     1.4568   662
    #>   0.3310     0.5458 1.2034     1.2031   662
    #>   0.4180     0.8989 1.2034     2.5031   836
    #>   0.4180     0.5596 1.2034     1.2147   836
    #>   0.4180     0.8038 1.2034     1.6925   836
    #>   0.4180     0.6257 1.2034     1.2826   836
    #>   0.3615     0.7033 1.2033     1.4004   723
    #>   0.3615     0.6185 1.2033     1.2738   723
    #>   0.3015     0.6401 1.2032     1.3005   603
    #>   0.3015     0.5667 1.2032     1.2209   603
    #>   0.3140     0.7294 1.2026     1.4541   628
    #>   0.3140     0.5177 1.2026     1.1809   628
    #>   0.3425     0.8966 1.2003     2.4467   685
    #>   0.3455     0.7335 1.1996     1.4580   691
    #>   0.3455     0.5650 1.1996     1.2161   691
    #>   0.3500     0.8951 1.1983     2.4128   700
    #>   0.3155     0.8950 1.1982     2.4103   631
    #>   0.4595     0.8347 1.1976     1.8330   919
    #>   0.4595     0.6593 1.1976     1.3192   919
    #>   0.3930     0.8871 1.1972     2.2947   786
    #>   0.3930     0.5304 1.1972     1.1860   786
    #>   0.4440     0.8871 1.1972     2.2943   888
    #>   0.4440     0.5992 1.1972     1.2462   888
    #>   0.3560     0.7318 1.1967     1.4483   712
    #>   0.3560     0.5822 1.1967     1.2290   712
    #>   0.3985     0.8865 1.1964     2.2828   797
    #>   0.3985     0.5378 1.1964     1.1910   797
    #>   0.4435     0.7312 1.1958     1.4456   887
    #>   0.4435     0.7253 1.1958     1.4323   887
    #>   0.4440     0.7728 1.1945     1.5540   888
    #>   0.4440     0.6862 1.1945     1.3562   888
    #>   0.3425     0.8323 1.1941     1.8070   685
    #>   0.4430     0.8219 1.1937     1.7489   886
    #>   0.4430     0.6434 1.1937     1.2929   886
    #>   0.3425     0.7956 1.1910     1.6242   685
    #>   0.3425     0.5127 1.1910     1.1687   685
    #>   0.3615     0.7223 1.1909     1.4169   723
    #>   0.3615     0.5960 1.1909     1.2365   723
    #>   0.4535     0.8823 1.1907     2.2004   907
    #>   0.4535     0.6120 1.1907     1.2526   907
    #>   0.4865     0.8021 1.1901     1.6477   973
    #>   0.4865     0.7218 1.1901     1.4145   973
    #>   0.3550     0.7201 1.1873     1.4058   710
    #>   0.3550     0.5853 1.1873     1.2226   710
    #>   0.3425     0.7679 1.1869     1.5211   685
    #>   0.3425     0.5294 1.1869     1.1771   685
    #>   0.3445     0.6925 1.1847     1.3511   689
    #>   0.3445     0.5894 1.1847     1.2238   689
    #>   0.3310     0.6804 1.1843     1.3312   662
    #>   0.3310     0.5762 1.1843     1.2115   662
    #>   0.4205     0.7904 1.1833     1.5841   841
    #>   0.4205     0.6295 1.1833     1.2631   841
    #>   0.4865     0.8837 1.1831     2.1762   973
    #>   0.4865     0.6513 1.1831     1.2890   973
    #>   0.4385     0.8242 1.1826     1.7240   877
    #>   0.4385     0.6291 1.1826     1.2619   877
    #>   0.4175     0.8762 1.1824     2.0918   835
    #>   0.4175     0.5634 1.1824     1.1991   835
    #>   0.3015     0.6122 1.1818     1.2429   603
    #>   0.3015     0.5820 1.1818     1.2142   603
    #>   0.4535     0.7894 1.1817     1.5763   907
    #>   0.4535     0.6789 1.1817     1.3251   907
    #>   0.3425     0.6612 1.1807     1.2987   685
    #>   0.3425     0.6116 1.1807     1.2410   685
    #>   0.3560     0.8812 1.1796     2.1294   712
    #>   0.4925     0.8120 1.1794     1.6572   985
    #>   0.4925     0.7153 1.1794     1.3823   985
    #>   0.4710     0.8738 1.1793     2.0530   942
    #>   0.4710     0.6356 1.1793     1.2652   942
    #>   0.3335     0.6772 1.1787     1.3180   667
    #>   0.3335     0.5805 1.1787     1.2098   667
    #>   0.3455     0.6670 1.1784     1.3033   691
    #>   0.3455     0.6104 1.1784     1.2372   691
    #>   0.4385     0.8796 1.1776     2.1020   877
    #>   0.4385     0.5870 1.1776     1.2143   877
    #>   0.4595     0.7861 1.1769     1.5524   919
    #>   0.4595     0.6879 1.1769     1.3312   919
    #>   0.4710     0.8198 1.1762     1.6819   942
    #>   0.4710     0.6758 1.1762     1.3123   942
    #>   0.3180     0.7130 1.1756     1.3711   636
    #>   0.3180     0.5243 1.1756     1.1646   636
    #>   0.3140     0.9263 1.1747     2.8679   628
    #>   0.4290     0.8702 1.1743     1.9951   858
    #>   0.4290     0.5789 1.1743     1.2041   858
    #>   0.3015     0.9248 1.1729     2.8142   603
    #>   0.3225     0.7111 1.1725     1.3622   645
    #>   0.3225     0.5317 1.1725     1.1671   645
    #>   0.3655     0.7111 1.1724     1.3620   731
    #>   0.3655     0.6026 1.1724     1.2231   731
    #>   0.3930     0.7899 1.1720     1.5520   786
    #>   0.3930     0.5831 1.1720     1.2053   786
    #>   0.3500     0.6731 1.1716     1.3015   700
    #>   0.3500     0.6092 1.1716     1.2283   700
    #>   0.3225     0.6847 1.1715     1.3178   645
    #>   0.3225     0.5518 1.1715     1.1802   645
    #>   0.4595     0.7576 1.1710     1.4564   919
    #>   0.4595     0.7102 1.1710     1.3578   919
    #>   0.4975     0.8660 1.1687     1.9324   995
    #>   0.4975     0.6714 1.1687     1.2948   995
    #>   0.3525     0.7085 1.1682     1.3501   705
    #>   0.3525     0.5812 1.1682     1.1999   705
    #>   0.3815     0.7078 1.1670     1.3466   763
    #>   0.3815     0.6290 1.1670     1.2427   763
    #>   0.5600     0.8134 1.1669     1.6235  1120
    #>   0.5600     0.8034 1.1669     1.5848  1120
    #>   0.3140     0.6062 1.1657     1.2188   628
    #>   0.3140     0.6038 1.1657     1.2167   628
    #>   0.3615     0.6694 1.1653     1.2872   723
    #>   0.3615     0.6292 1.1653     1.2407   723
    #>   0.3500     0.9174 1.1635     2.5615   700
    #>   0.3985     0.8010 1.1634     1.5654   797
    #>   0.3985     0.5788 1.1634     1.1930   797
    #>   0.3425     0.9474 1.1632     3.5294   685
    #>   0.3550     0.6673 1.1615     1.2789   710
    #>   0.3550     0.6179 1.1615     1.2249   710
    #>   0.3155     0.9158 1.1615     2.5125   631
    #>   0.3310     0.9156 1.1612     2.5068   662
    #>   0.3180     0.9151 1.1606     2.4914   636
    #>   0.3930     0.8666 1.1601     1.8965   786
    #>   0.3930     0.5261 1.1601     1.1532   786
    #>   0.3455     0.7747 1.1597     1.4734   691
    #>   0.3455     0.5172 1.1597     1.1475   691
    #>   0.4180     0.8592 1.1595     1.8395   836
    #>   0.4180     0.5641 1.1595     1.1780   836
    #>   0.4045     0.7809 1.1586     1.4878   809
    #>   0.4045     0.6001 1.1586     1.2054   809
    #>   0.3425     0.9133 1.1583     2.4404   685
    #>   0.3335     0.9124 1.1572     2.4157   667
    #>   0.4180     0.9425 1.1572     3.2262   836
    #>   0.4180     0.5132 1.1572     1.1432   836
    #>   0.3020     0.9124 1.1571     2.4140   604
    #>   0.3655     0.6639 1.1557     1.2662   731
    #>   0.3655     0.6362 1.1557     1.2356   731
    #>   0.3560     0.9105 1.1547     2.3628   712
    #>   0.3180     0.6139 1.1539     1.2121   636
    #>   0.3180     0.5977 1.1539     1.1982   636
    #>   0.3750     0.7708 1.1539     1.4486   750
    #>   0.3750     0.5614 1.1539     1.1707   750
    #>   0.4115     0.7944 1.1538     1.5151   823
    #>   0.4115     0.5977 1.1538     1.1980   823
    #>   0.4430     0.8619 1.1538     1.8316   886
    #>   0.4430     0.5930 1.1538     1.1942   886
    #>   0.4180     0.9097 1.1537     2.3418   836
    #>   0.4180     0.5301 1.1537     1.1503   836
    #>   0.3560     0.6873 1.1531     1.2918   712
    #>   0.3560     0.5973 1.1531     1.1970   712
    #>   0.3225     0.6226 1.1529     1.2188   645
    #>   0.3225     0.5972 1.1529     1.1967   645
    #>   0.4205     0.8538 1.1522     1.7716   841
    #>   0.4205     0.5675 1.1522     1.1733   841
    #>   0.3550     0.9079 1.1515     2.2971   710
    #>   0.4045     0.8588 1.1497     1.7919   809
    #>   0.4045     0.5415 1.1497     1.1538   809
    #>   0.4860     0.8013 1.1497     1.5251   972
    #>   0.4860     0.6973 1.1497     1.2999   972
    #>   0.3195     0.9064 1.1495     2.2592   639
    #>   0.3390     0.6968 1.1489     1.2979   678
    #>   0.3390     0.5589 1.1489     1.1643   678
    #>   0.4595     0.8509 1.1483     1.7374   919
    #>   0.4595     0.6201 1.1483     1.2109   919
    #>   0.5200     0.8574 1.1478     1.7739  1040
    #>   0.5200     0.6961 1.1478     1.2949  1040
    #>   0.4650     0.7667 1.1477     1.4230   930
    #>   0.4650     0.6961 1.1477     1.2949   930
    #>   0.3455     0.9045 1.1471     2.2135   691
    #>   0.4205     0.9043 1.1469     2.2101   841
    #>   0.4205     0.5333 1.1469     1.1463   841
    #>   0.3560     0.7982 1.1452     1.5015   712
    #>   0.3560     0.5108 1.1452     1.1324   712
    #>   0.3310     0.9324 1.1447     2.7439   662
    #>   0.4385     0.9023 1.1443     2.1640   877
    #>   0.4385     0.5561 1.1443     1.1580   877
    #>   0.4430     0.7711 1.1441     1.4242   886
    #>   0.4430     0.6573 1.1441     1.2415   886
    #>   0.3260     0.6293 1.1432     1.2127   652
    #>   0.3260     0.5922 1.1432     1.1819   652
    #>   0.3425     0.8467 1.1427     1.6898   685
    #>   0.4865     0.9009 1.1426     2.1348   973
    #>   0.4865     0.6170 1.1426     1.2010   973
    #>   0.3750     0.7962 1.1423     1.4866   750
    #>   0.3750     0.5380 1.1423     1.1451   750
    #>   0.3615     0.6979 1.1413     1.2859   723
    #>   0.3615     0.5912 1.1413     1.1790   723
    #>   0.3260     0.6921 1.1412     1.2782   652
    #>   0.3260     0.5375 1.1412     1.1438   652
    #>   0.3275     0.9291 1.1407     2.6156   655
    #>   0.4650     0.8447 1.1399     1.6676   930
    #>   0.4650     0.6275 1.1399     1.2068   930
    #>   0.3750     0.9282 1.1396     2.5842   750
    #>   0.3225     0.9281 1.1394     2.5785   645
    #>   0.4385     0.8433 1.1380     1.6525   877
    #>   0.4385     0.5918 1.1380     1.1758   877
    #>   0.4495     0.7824 1.1364     1.4317   899
    #>   0.4495     0.6529 1.1364     1.2258   899
    #>   0.3815     0.6641 1.1361     1.2368   763
    #>   0.3815     0.6527 1.1361     1.2251   763
    #>   0.3615     0.9246 1.1351     2.4587   723
    #>   0.3615     0.8948 1.1348     2.0105   723
    #>   0.4925     0.8946 1.1346     2.0074   985
    #>   0.4925     0.6246 1.1346     1.1974   985
    #>   0.3455     0.8396 1.1331     1.6148   691
    #>   0.4595     0.9218 1.1317     2.3711   919
    #>   0.4595     0.5641 1.1317     1.1506   919
    #>   0.4045     0.8920 1.1312     1.9575   809
    #>   0.4045     0.5130 1.1312     1.1222   809
    #>   0.4435     0.8897 1.1283     1.9170   887
    #>   0.4435     0.5625 1.1283     1.1462   887
    #>   0.5200     0.8896 1.1283     1.9166  1040
    #>   0.5200     0.6595 1.1283     1.2202  1040
    #>   0.4435     0.8336 1.1250     1.5569   887
    #>   0.4435     0.5985 1.1250     1.1657   887
    #>   0.3930     0.9161 1.1247     2.2105   786
    #>   0.5600     0.9158 1.1243     2.2026  1120
    #>   0.5600     0.6875 1.1243     1.2434  1120
    #>   0.4175     0.8864 1.1242     1.8620   835
    #>   0.4175     0.5295 1.1242     1.1243   835
    #>   0.4175     0.8392 1.1234     1.5733   835
    #>   0.4175     0.5589 1.1234     1.1392   835
    #>   0.4865     0.9145 1.1227     2.1689   973
    #>   0.4865     0.5973 1.1227     1.1622   973
    #>   0.3930     0.8851 1.1226     1.8413   786
    #>   0.4430     0.8851 1.1225     1.8410   886
    #>   0.4430     0.5618 1.1225     1.1400   886
    #>   0.5600     0.8383 1.1223     1.5649  1120
    #>   0.5600     0.7497 1.1223     1.3262  1120
    #>   0.4305     0.8849 1.1222     1.8374   861
    #>   0.4305     0.5460 1.1222     1.1310   861
    #>   0.3910     0.6806 1.1222     1.2320   782
    #>   0.3910     0.6447 1.1222     1.1975   782
    #>   0.4860     0.8315 1.1221     1.5369   972
    #>   0.4860     0.6559 1.1221     1.2074   972
    #>   0.5600     0.8309 1.1213     1.5313  1120
    #>   0.5600     0.7557 1.1213     1.3346  1120
    #>   0.4765     0.8840 1.1212     1.8240   953
    #>   0.4765     0.6043 1.1212     1.1651   953
    #>   0.3425     0.9621 1.1200     3.7182   685
    #>   0.3390     0.6544 1.1197     1.2024   678
    #>   0.3390     0.5800 1.1197     1.1476   678
    #>   0.3750     0.7239 1.1189     1.2787   750
    #>   0.3750     0.5796 1.1189     1.1465   750
    #>   0.3750     0.9591 1.1165     3.4457   750
    #>   0.3560     0.8269 1.1160     1.4966   712
    #>   0.3750     0.8269 1.1159     1.4963   750
    #>   0.3750     0.5061 1.1159     1.1064   750
    #>   0.3985     0.8787 1.1144     1.7439   797
    #>   0.3985     0.5054 1.1144     1.1049   797
    #>   0.4045     0.9070 1.1135     1.9936   809
    #>   0.3455     0.9557 1.1126     3.1857   691
    #>   0.4305     0.8311 1.1126     1.4978   861
    #>   0.4305     0.5763 1.1126     1.1376   861
    #>   0.5320     0.8772 1.1124     1.7218  1064
    #>   0.5320     0.6747 1.1124     1.2096  1064
    #>   0.4765     0.8294 1.1103     1.4831   953
    #>   0.4765     0.6379 1.1103     1.1750   953
    #>   0.4180     0.9532 1.1097     3.0160   836
    #>   0.5660     0.8221 1.1094     1.4557  1132
    #>   0.5660     0.7638 1.1094     1.3190  1132
    #>   0.4985     0.8219 1.1092     1.4545   997
    #>   0.4985     0.6727 1.1092     1.2024   997
    #>   0.4495     0.8745 1.1091     1.6854   899
    #>   0.4495     0.5701 1.1091     1.1304   899
    #>   0.4115     0.8737 1.1080     1.6742   823
    #>   0.4115     0.5219 1.1080     1.1064   823
    #>   0.3225     0.9513 1.1075     2.8969   645
    #>   0.3275     0.9507 1.1067     2.8573   655
    #>   0.3475     0.6708 1.1061     1.1955   695
    #>   0.3475     0.5730 1.1061     1.1287   695
    #>   0.3820     0.7375 1.1040     1.2645   764
    #>   0.3820     0.5719 1.1040     1.1258   764
    #>   0.4205     0.9481 1.1038     2.7188   841
    #>   0.3015     0.9481 1.1037     2.7175   603
    #>   0.4430     0.8986 1.1032     1.8290   886
    #>   0.4430     0.5439 1.1032     1.1116   886
    #>   0.3080     0.5946 1.1031     1.1371   616
    #>   0.3080     0.5714 1.1031     1.1247   616
    #>   0.3615     0.9476 1.1031     2.6896   723
    #>   0.3080     0.6331 1.1020     1.1597   616
    #>   0.3080     0.5361 1.1020     1.1070   616
    #>   0.3310     0.9457 1.1009     2.5974   662
    #>   0.3820     0.9455 1.1008     2.5893   764
    #>   0.4595     0.9455 1.1007     2.5859   919
    #>   0.4595     0.5349 1.1007     1.1052   919
    #>   0.3020     0.9452 1.1004     2.5743   604
    #>   0.5600     0.8655 1.0977     1.5729  1120
    #>   0.5600     0.7102 1.0977     1.2181  1120
    #>   0.4440     0.9427 1.0974     2.4597   888
    #>   0.4440     0.5169 1.0974     1.0950   888
    #>   0.3930     0.9413 1.0958     2.4028   786
    #>   0.4440     0.8925 1.0957     1.7250   888
    #>   0.4440     0.5451 1.0957     1.1047   888
    #>   0.3820     0.8110 1.0945     1.3707   764
    #>   0.3820     0.5155 1.0945     1.0919   764
    #>   0.3615     0.8105 1.0938     1.3670   723
    #>   0.4045     0.9396 1.0938     2.3346   809
    #>   0.5600     0.9396 1.0938     2.3343  1120
    #>   0.5600     0.6519 1.0938     1.1607  1120
    #>   0.3335     0.9394 1.0936     2.3281   667
    #>   0.4290     0.8623 1.0936     1.5361   858
    #>   0.4290     0.5441 1.0936     1.1021   858
    #>   0.3310     0.9390 1.0931     2.3117   662
    #>   0.5400     0.8904 1.0931     1.6918  1080
    #>   0.5400     0.6630 1.0931     1.1676  1080
    #>   0.3260     0.9381 1.0921     2.2790   652
    #>   0.4460     0.8610 1.0920     1.5216   892
    #>   0.4460     0.5656 1.0920     1.1097   892
    #>   0.4180     0.9941 1.0894    14.7175   836
    #>   0.4865     0.9356 1.0891     2.1887   973
    #>   0.4865     0.5664 1.0891     1.1069   973
    #>   0.4930     0.8581 1.0883     1.4909   986
    #>   0.4930     0.6252 1.0883     1.1354   986
    #>   0.3655     0.9348 1.0882     2.1620   731
    #>   0.3310     0.9925 1.0877    11.6725   662
    #>   0.3425     0.9913 1.0864    10.0771   685
    #>   0.4650     0.9328 1.0859     2.0982   930
    #>   0.4650     0.5413 1.0859     1.0934   930
    #>   0.4535     0.9322 1.0852     2.0787   907
    #>   0.4535     0.5279 1.0852     1.0878   907
    #>   0.3910     0.8037 1.0846     1.3194   782
    #>   0.3910     0.5277 1.0846     1.0872   782
    #>   0.5960     0.8551 1.0845     1.4596  1192
    #>   0.5960     0.7559 1.0845     1.2411  1192
    #>   0.3275     0.9894 1.0843     8.2750   655
    #>   0.5600     0.9894 1.0843     8.2542  1120
    #>   0.5600     0.6137 1.0843     1.1235  1120
    #>   0.3225     0.9893 1.0841     8.1500   645
    #>   0.3615     0.9891 1.0839     7.9953   723
    #>   0.4385     0.9887 1.0835     7.7612   877
    #>   0.3910     0.7548 1.0830     1.2359   782
    #>   0.3910     0.5610 1.0830     1.0979   782
    #>   0.4595     0.9882 1.0829     7.3977   919
    #>   0.4595     0.5036 1.0829     1.0777   919
    #>   0.4865     0.9878 1.0825     7.1823   973
    #>   0.4865     0.5332 1.0825     1.0871   973
    #>   0.4430     0.9297 1.0823     2.0056   886
    #>   0.4430     0.5157 1.0823     1.0810   886
    #>   0.3155     0.9875 1.0822     6.9891   631
    #>   0.3140     0.9874 1.0821     6.9563   628
    #>   0.3985     0.9289 1.0814     1.9832   797
    #>   0.5005     0.9286 1.0810     1.9740  1001
    #>   0.5005     0.5827 1.0810     1.1046  1001
    #>   0.3930     0.9862 1.0808     6.3398   786
    #>   0.6470     0.9283 1.0806     1.9655  1294
    #>   0.6470     0.7532 1.0806     1.2277  1294
    #>   0.3500     0.9859 1.0805     6.2125   700
    #>   0.4430     0.9855 1.0800     6.0510   886
    #>   0.3560     0.9848 1.0792     5.7511   712
    #>   0.4925     0.9258 1.0777     1.8990   985
    #>   0.4925     0.5733 1.0777     1.0969   985
    #>   0.5660     0.9256 1.0775     1.8950  1132
    #>   0.5660     0.6589 1.0775     1.1390  1132
    #>   0.4045     0.9830 1.0772     5.1438   809
    #>   0.5960     0.8043 1.0767     1.2929  1192
    #>   0.5960     0.7979 1.0767     1.2813  1192
    #>   0.3750     0.9817 1.0758     4.7750   750
    #>   0.5400     0.9239 1.0755     1.8520  1080
    #>   0.5400     0.6286 1.0755     1.1189  1080
    #>   0.3200     0.6178 1.0753     1.1132   640
    #>   0.3200     0.5570 1.0753     1.0881   640
    #>   0.5400     0.9809 1.0750     4.5875  1080
    #>   0.5400     0.5918 1.0750     1.1011  1080
    #>   0.4535     0.8755 1.0749     1.4898   907
    #>   0.4535     0.5568 1.0749     1.0875   907
    #>   0.5660     0.8473 1.0746     1.3851  1132
    #>   0.5660     0.7178 1.0746     1.1765  1132
    #>   0.4115     0.9226 1.0741     1.8228   823
    #>   0.4440     0.9791 1.0729     4.1770   888
    #>   0.6740     0.9789 1.0728     4.1547  1348
    #>   0.6740     0.7386 1.0728     1.1918  1348
    #>   0.6470     0.8731 1.0720     1.4623  1294
    #>   0.6470     0.7944 1.0720     1.2594  1294
    #>   0.5200     0.9774 1.0712     3.8792  1040
    #>   0.5200     0.5699 1.0712     1.0880  1040
    #>   0.3445     0.9773 1.0710     3.8555   689
    #>   0.5005     0.8712 1.0696     1.4401  1001
    #>   0.5005     0.6145 1.0696     1.1037  1001
    #>   0.3815     0.9757 1.0693     3.6013   763
    #>   0.3390     0.9755 1.0691     3.5772   678
    #>   0.4860     0.9749 1.0684     3.4895   972
    #>   0.4860     0.5326 1.0684     1.0730   972
    #>   0.5960     0.9747 1.0681     3.4520  1192
    #>   0.5960     0.6532 1.0681     1.1201  1192
    #>   0.5005     0.9737 1.0671     3.3315  1001
    #>   0.5005     0.5485 1.0671     1.0764  1001
    #>   0.4175     0.9732 1.0665     3.2641   835
    #>   0.6470     0.9686 1.0614     2.7833  1294
    #>   0.6470     0.7090 1.0614     1.1411  1294
    #>   0.4495     0.9118 1.0614     1.5980   899
    #>   0.4495     0.5233 1.0614     1.0635   899
    #>   0.4535     0.9116 1.0612     1.5943   907
    #>   0.4535     0.5279 1.0612     1.0645   907
    #>   0.3910     0.9678 1.0606     2.7192   782
    #>   0.4765     0.9665 1.0592     2.6144   953
    #>   0.4765     0.5222 1.0592     1.0611   953
    #>   0.4710     0.9093 1.0585     1.5540   942
    #>   0.4710     0.5483 1.0585     1.0671   942
    #>   0.4305     0.9652 1.0578     2.5177   861
    #>   0.5505     0.9077 1.0567     1.5271  1101
    #>   0.5505     0.6409 1.0567     1.0957  1101
    #>   0.5845     0.9637 1.0561     2.4122  1169
    #>   0.5845     0.6405 1.0561     1.0947  1169
    #>   0.4535     0.9628 1.0552     2.3550   907
    #>   0.3080     0.9625 1.0548     2.3333   616
    #>   0.4040     0.7799 1.0525     1.1769   808
    #>   0.4040     0.5452 1.0525     1.0598   808
    #>   0.6740     0.9023 1.0504     1.4428  1348
    #>   0.6740     0.7846 1.0504     1.1747  1348
    #>   0.6740     0.8548 1.0495     1.2774  1348
    #>   0.6740     0.8275 1.0495     1.2261  1348
    #>   0.6680     0.9015 1.0495     1.4312  1336
    #>   0.6680     0.7776 1.0495     1.1648  1336
    #>   0.6115     0.8252 1.0466     1.2102  1223
    #>   0.6115     0.7755 1.0466     1.1538  1223
    #>   0.5140     0.8947 1.0415     1.3389  1028
    #>   0.5140     0.5984 1.0415     1.0594  1028
    #>   0.8145     0.9482 1.0391     1.6890  1629
    #>   0.8145     0.8926 1.0391     1.3129  1629
    #>   0.7470     0.9474 1.0382     1.6625  1494
    #>   0.7470     0.8186 1.0382     1.1661  1494
    #>   0.4710     0.9467 1.0375     1.6427   942
    #>   0.4710     0.5162 1.0375     1.0386   942
    #>   0.6970     0.9406 1.0308     1.4736  1394
    #>   0.6970     0.7638 1.0308     1.0967  1394
    #>   0.4865     0.9392 1.0292     1.4389   973
    #>   0.4865     0.5332 1.0292     1.0325   973
    #>   0.5390     0.9382 1.0282     1.4160  1078
    #>   0.5390     0.5907 1.0282     1.0395  1078
    #>   0.6885     0.8732 1.0165     1.1118  1377
    #>   0.6885     0.8015 1.0165     1.0656  1377

Metric | Meaning
--- | ---
Support | P(A and B) — how common is this pattern?
Confidence | P(B given A) — how reliable is this implication?
Lift | > 1 = positive association, < 1 = negative
Conviction | Departure from independence (higher = stronger)

## Adjusting thresholds

    rules_broad  <- association_rules(net, min_support = 0.1,
                                      min_confidence = 0.3, min_lift = 0)
    rules_strict <- association_rules(net, min_support = 0.5,
                                      min_confidence = 0.8, min_lift = 1.0)
    data.frame(
      Setting = c("Broad (sup>=0.1, conf>=0.3)", "Strict (sup>=0.5, conf>=0.8, lift>=1)"),
      Rules   = c(rules_broad$n_rules, rules_strict$n_rules)
    )

Setting | Rules
--- | ---
Broad (sup>=0.1, conf>=0.3) | 3043
Strict (sup>=0.5, conf>=0.8, lift>=1) | 44

## Per-group rules

    nets <- build_network(
      group_regulation_long, method = "relative",
      actor = "Actor", action = "Action", time = "Time",
      group = "Achiever"
    )
    lapply(nets, function(g) {
      association_rules(g, min_support = 0.3, min_confidence = 0.5, min_lift = 1.0)
    })
    #> $High
    #> Association Rules  [587 rules | 7 items | 1000 transactions]
    #>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 1.00
    #>
    #>   Top rules (by lift):
    #>     1. cohesion, coregulate -> discuss, emotion, plan  (sup=0.322 conf=0.809 lift=1.36)
    #>     2. discuss, emotion, plan -> cohesion, coregulate  (sup=0.322 conf=0.541 lift=1.36)
    #>     3. cohesion, discuss, plan -> coregulate, emotion  (sup=0.322 conf=0.675 lift=1.35)
    #>     4. coregulate, emotion -> cohesion, discuss, plan  (sup=0.322 conf=0.643 lift=1.35)
    #>     5. cohesion, consensus, coregulate -> discuss, emotion  (sup=0.335 conf=0.861 lift=1.33)
    #>     6. discuss, emotion -> cohesion, consensus, coregulate  (sup=0.335 conf=0.518 lift=1.33)
    #>     7. cohesion, coregulate, plan -> discuss, emotion  (sup=0.322 conf=0.861 lift=1.33)
    #>     8. cohesion, coregulate -> consensus, discuss, emotion  (sup=0.335 conf=0.842 lift=1.32)
    #>     9. consensus, discuss, emotion -> cohesion, coregulate  (sup=0.335 conf=0.527 lift=1.32)
    #>     10. coregulate, discuss, emotion -> cohesion, plan  (sup=0.322 conf=0.714 lift=1.32)
    #>     ... and 577 more rules
    #>
    #> $Low
    #> Association Rules  [657 rules | 9 items | 1000 transactions]
    #>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 1.00
    #>
    #>   Top rules (by lift):
    #>     1. cohesion, coregulate -> discuss, emotion  (sup=0.301 conf=0.784 lift=1.36)
    #>     2. discuss, emotion -> cohesion, coregulate  (sup=0.301 conf=0.523 lift=1.36)
    #>     3. coregulate, emotion, plan -> cohesion, consensus  (sup=0.309 conf=0.673 lift=1.34)
    #>     4. cohesion, consensus -> coregulate, emotion, plan  (sup=0.309 conf=0.614 lift=1.34)
    #>     5. cohesion, consensus, plan -> coregulate, emotion  (sup=0.309 conf=0.660 lift=1.33)
    #>     6. coregulate, emotion -> cohesion, consensus, plan  (sup=0.309 conf=0.623 lift=1.33)
    #>     7. consensus, coregulate, emotion -> cohesion, plan  (sup=0.309 conf=0.642 lift=1.32)
    #>     8. cohesion, plan -> consensus, coregulate, emotion  (sup=0.309 conf=0.636 lift=1.32)
    #>     9. cohesion, discuss -> coregulate, emotion  (sup=0.301 conf=0.652 lift=1.31)
    #>     10. coregulate, emotion -> cohesion, discuss  (sup=0.301 conf=0.607 lift=1.31)
    #>     ... and 647 more rules

Rules unique to one group suggest activity combinations associated with that group’s outcomes.

## Plotting rules

Support vs confidence scatter, with point size and color encoding lift:

    rules <- association_rules(net, min_support = 0.2,
                               min_confidence = 0.4, min_lift = 1.0)
    if (rules$n_rules > 0) plot(rules)

## Extracting pathways

Each rule `{A, B} => {C}` becomes `"A B -> C"`:

    rules <- association_rules(net, min_support = 0.3,
                               min_confidence = 0.5, min_lift = 1.0)
    pathways(rules)
    #>   [1] "cohesion coregulate -> discuss emotion plan"
    #>   [2] "discuss emotion plan -> cohesion coregulate"
    #>   [3] "cohesion coregulate -> consensus discuss emotion"
    #>   [4] "consensus discuss emotion -> cohesion coregulate"
    #>   [5] "cohesion consensus coregulate -> discuss emotion"
    #>   [6] "discuss emotion -> cohesion consensus coregulate"
    #>   [7] "cohesion coregulate plan -> discuss emotion"
    #>   [8] "cohesion discuss plan -> coregulate emotion"
    #>   [9] "coregulate emotion -> cohesion discuss plan"
    #>  [10] "cohesion coregulate -> discuss emotion"
    #>  [11] "discuss emotion -> cohesion coregulate"
    #>  [12] "cohesion consensus discuss -> coregulate emotion"
    #>  [13] "coregulate emotion -> cohesion consensus discuss"
    #>  [14] "coregulate discuss emotion -> cohesion plan"
    #>  [15] "cohesion plan -> coregulate discuss emotion"
    #>  [16] "coregulate discuss emotion -> cohesion consensus"
    #>  [17] "cohesion consensus -> coregulate discuss emotion"
    #>  [18] "coregulate emotion plan -> cohesion discuss"
    #>  [19] "cohesion discuss -> coregulate emotion plan"
    #>  [20] "consensus coregulate emotion -> cohesion discuss"
    #>  [21] "cohesion discuss -> consensus coregulate emotion"
    #>  [22] "coregulate emotion -> cohesion consensus plan"
    #>  [23] "cohesion consensus plan -> coregulate emotion"
    #>  [24] "consensus coregulate emotion -> cohesion plan"
    #>  [25] "cohesion plan -> consensus coregulate emotion"
    #>  [26] "coregulate emotion plan -> cohesion consensus"
    #>  [27] "cohesion consensus -> coregulate emotion plan"
    #>  [28] "cohesion discuss -> coregulate emotion"
    #>  [29] "coregulate emotion -> cohesion discuss"
    #>  [30] "cohesion coregulate -> consensus emotion plan"
    #>  [31] "consensus emotion plan -> cohesion coregulate"
    #>  [32] "coregulate emotion -> cohesion plan"
    #>  [33] "cohesion plan -> coregulate emotion"
    #>  [34] "cohesion consensus -> discuss emotion plan"
    #>  [35] "discuss emotion plan -> cohesion consensus"
    #>  [36] "cohesion coregulate plan -> consensus emotion"
    #>  [37] "cohesion consensus coregulate -> emotion plan"
    #>  [38] "cohesion consensus plan -> discuss emotion"
    #>  [39] "discuss emotion -> cohesion consensus plan"
    #>  [40] "cohesion plan -> consensus discuss emotion"
    #>  [41] "consensus discuss emotion -> cohesion plan"
    #>  [42] "coregulate emotion -> cohesion consensus"
    #>  [43] "cohesion consensus -> coregulate emotion"
    #>  [44] "cohesion discuss emotion -> coregulate plan"
    #>  [45] "coregulate plan -> cohesion discuss emotion"
    #>  [46] "cohesion coregulate discuss -> consensus emotion"
    #>  [47] "coregulate plan -> consensus discuss emotion"
    #>  [48] "consensus discuss emotion -> coregulate plan"
    #>  [49] "cohesion coregulate discuss -> emotion plan"
    #>  [50] "consensus emotion monitor -> discuss plan"
    #>  [51] "cohesion plan -> discuss emotion"
    #>  [52] "discuss emotion -> cohesion plan"
    #>  [53] "cohesion coregulate -> emotion plan"
    #>  [54] "cohesion consensus -> discuss emotion"
    #>  [55] "discuss emotion -> cohesion consensus"
    #>  [56] "consensus coregulate plan -> discuss emotion"
    #>  [57] "discuss emotion -> consensus coregulate plan"
    #>  [58] "cohesion coregulate -> consensus emotion"
    #>  [59] "discuss emotion plan -> consensus coregulate"
    #>  [60] "consensus coregulate -> discuss emotion plan"
    #>  [61] "cohesion consensus emotion -> coregulate plan"
    #>  [62] "coregulate plan -> cohesion consensus emotion"
    #>  [63] "cohesion consensus discuss -> coregulate plan"
    #>  [64] "coregulate plan -> cohesion consensus discuss"
    #>  [65] "cohesion consensus coregulate -> discuss plan"
    #>  [66] "coregulate monitor -> discuss plan"
    #>  [67] "cohesion discuss plan -> consensus coregulate"
    #>  [68] "consensus coregulate -> cohesion discuss plan"
    #>  [69] "cohesion consensus emotion -> coregulate discuss"
    #>  [70] "coregulate discuss -> cohesion consensus emotion"
    #>  [71] "cohesion discuss emotion -> consensus coregulate"
    #>  [72] "consensus coregulate -> cohesion discuss emotion"
    #>  [73] "emotion monitor -> consensus discuss plan"
    #>  [74] "consensus discuss plan -> emotion monitor"
    #>  [75] "cohesion coregulate -> consensus discuss plan"
    #>  [76] "cohesion discuss plan -> consensus emotion"
    #>  [77] "consensus emotion -> cohesion discuss plan"
    #>  [78] "coregulate discuss emotion -> cohesion"
    #>  [79] "cohesion -> coregulate discuss emotion"
    #>  [80] "consensus coregulate discuss emotion -> cohesion"
    #>  [81] "cohesion -> consensus coregulate discuss emotion"
    #>  [82] "cohesion emotion plan -> coregulate discuss"
    #>  [83] "coregulate discuss -> cohesion emotion plan"
    #>  [84] "coregulate discuss emotion plan -> cohesion"
    #>  [85] "cohesion -> coregulate discuss emotion plan"
    #>  [86] "cohesion discuss emotion plan -> coregulate"
    #>  [87] "consensus coregulate emotion -> discuss plan"
    #>  [88] "discuss plan -> consensus coregulate emotion"
    #>  [89] "coregulate plan -> discuss emotion"
    #>  [90] "discuss emotion -> coregulate plan"
    #>  [91] "coregulate discuss plan -> cohesion consensus"
    #>  [92] "cohesion consensus -> coregulate discuss plan"
    #>  [93] "cohesion consensus discuss emotion -> coregulate"
    #>  [94] "coregulate -> cohesion consensus discuss emotion"
    #>  [95] "cohesion coregulate emotion -> discuss plan"
    #>  [96] "coregulate emotion -> consensus discuss plan"
    #>  [97] "consensus discuss plan -> coregulate emotion"
    #>  [98] "consensus monitor -> discuss emotion plan"
    #>  [99] "discuss emotion plan -> consensus monitor"
    #> [100] "cohesion discuss -> consensus coregulate plan"
    #> [101] "consensus coregulate plan -> cohesion discuss"
    #> [102] "cohesion consensus plan -> coregulate discuss"
    #> [103] "coregulate discuss -> cohesion consensus plan"
    #> [104] "emotion monitor -> discuss plan"
    #> [105] "discuss plan -> emotion monitor"
    #> [106] "consensus coregulate emotion plan -> cohesion"
    #> [107] "cohesion -> consensus coregulate emotion plan"
    #> [108] "cohesion plan -> consensus emotion"
    #> [109] "consensus emotion -> cohesion plan"
    #> [110] "coregulate emotion plan -> cohesion"
    #> [111] "cohesion -> coregulate emotion plan"
    #> [112] "cohesion coregulate -> discuss plan"
    #> [113] "cohesion plan -> consensus coregulate discuss"
    #> [114] "consensus coregulate discuss -> cohesion plan"
    #> [115] "cohesion emotion plan -> consensus coregulate"
    #> [116] "consensus coregulate -> cohesion emotion plan"
    #> [117] "consensus monitor plan -> discuss emotion"
    #> [118] "discuss emotion -> consensus monitor plan"
    #> [119] "cohesion consensus discuss -> emotion plan"
    #> [120] "emotion plan -> cohesion consensus discuss"
    #> [121] "consensus coregulate emotion -> cohesion"
    #> [122] "cohesion -> consensus coregulate emotion"
    #> [123] "cohesion consensus -> emotion plan"
    #> [124] "emotion plan -> cohesion consensus"
    #> [125] "coregulate discuss plan -> cohesion emotion"
    #> [126] "cohesion emotion -> coregulate discuss plan"
    #> [127] "cohesion discuss -> consensus emotion plan"
    #> [128] "consensus emotion plan -> cohesion discuss"
    #> [129] "cohesion consensus discuss plan -> coregulate"
    #> [130] "coregulate -> cohesion consensus discuss plan"
    #> [131] "coregulate emotion -> cohesion"
    #> [132] "cohesion -> coregulate emotion"
    #> [133] "consensus discuss emotion plan -> coregulate"
    #> [134] "coregulate -> consensus discuss emotion plan"
    #> [135] "cohesion discuss -> coregulate plan"
    #> [136] "coregulate plan -> cohesion discuss"
    #> [137] "discuss monitor -> coregulate plan"
    #> [138] "coregulate plan -> discuss monitor"
    #> [139] "cohesion discuss emotion -> coregulate"
    #> [140] "coregulate -> cohesion discuss emotion"
    #> [141] "consensus coregulate -> discuss emotion"
    #> [142] "discuss emotion -> consensus coregulate"
    #> [143] "discuss emotion plan -> cohesion"
    #> [144] "cohesion -> discuss emotion plan"
    #> [145] "coregulate emotion -> discuss plan"
    #> [146] "discuss plan -> coregulate emotion"
    #> [147] "discuss emotion plan -> coregulate"
    #> [148] "coregulate -> discuss emotion plan"
    #> [149] "cohesion discuss plan -> coregulate"
    #> [150] "coregulate -> cohesion discuss plan"
    #> [151] "cohesion consensus coregulate plan -> emotion"
    #> [152] "cohesion coregulate plan -> emotion"
    #> [153] "cohesion coregulate discuss plan -> emotion"
    #> [154] "consensus discuss emotion plan -> cohesion"
    #> [155] "cohesion -> consensus discuss emotion plan"
    #> [156] "cohesion -> discuss emotion"
    #> [157] "discuss emotion -> cohesion"
    #> [158] "coregulate discuss -> cohesion consensus"
    #> [159] "cohesion consensus -> coregulate discuss"
    #> [160] "monitor plan -> consensus discuss emotion"
    #> [161] "consensus discuss emotion -> monitor plan"
    #> [162] "cohesion plan -> coregulate discuss"
    #> [163] "coregulate discuss -> cohesion plan"
    #> [164] "cohesion emotion -> consensus coregulate discuss"
    #> [165] "consensus coregulate discuss -> cohesion emotion"
    #> [166] "cohesion -> consensus discuss emotion"
    #> [167] "consensus discuss emotion -> cohesion"
    #> [168] "cohesion emotion -> consensus coregulate plan"
    #> [169] "consensus coregulate plan -> cohesion emotion"
    #> [170] "cohesion consensus coregulate -> emotion"
    #> [171] "cohesion consensus -> coregulate plan"
    #> [172] "coregulate plan -> cohesion consensus"
    #> [173] "coregulate discuss plan -> consensus emotion"
    #> [174] "consensus emotion -> coregulate discuss plan"
    #> [175] "cohesion coregulate -> emotion"
    #> [176] "cohesion consensus coregulate discuss -> emotion"
    #> [177] "cohesion consensus emotion plan -> coregulate"
    #> [178] "coregulate -> cohesion consensus emotion plan"
    #> [179] "cohesion discuss -> consensus emotion"
    #> [180] "consensus emotion -> cohesion discuss"
    #> [181] "cohesion discuss -> consensus coregulate"
    #> [182] "consensus coregulate -> cohesion discuss"
    #> [183] "cohesion coregulate discuss -> emotion"
    #> [184] "coregulate discuss -> consensus emotion plan"
    #> [185] "consensus emotion plan -> coregulate discuss"
    #> [186] "consensus monitor -> coregulate discuss"
    #> [187] "coregulate discuss -> consensus monitor"
    #> [188] "consensus discuss emotion -> coregulate"
    #> [189] "coregulate -> consensus discuss emotion"
    #> [190] "cohesion coregulate plan -> consensus discuss"
    #> [191] "cohesion consensus emotion -> discuss plan"
    #> [192] "discuss plan -> cohesion consensus emotion"
    #> [193] "cohesion consensus discuss -> coregulate"
    #> [194] "coregulate -> cohesion consensus discuss"
    #> [195] "cohesion discuss -> emotion plan"
    #> [196] "emotion plan -> cohesion discuss"
    #> [197] "coregulate monitor -> consensus discuss"
    #> [198] "consensus coregulate -> discuss plan"
    #> [199] "discuss plan -> consensus coregulate"
    #> [200] "cohesion emotion -> coregulate plan"
    #> [201] "coregulate plan -> cohesion emotion"
    #> [202] "discuss monitor plan -> coregulate"
    #> [203] "consensus monitor -> discuss plan"
    #> [204] "discuss plan -> consensus monitor"
    #> [205] "cohesion emotion -> coregulate discuss"
    #> [206] "coregulate discuss -> cohesion emotion"
    #> [207] "cohesion consensus emotion -> coregulate"
    #> [208] "coregulate -> cohesion consensus emotion"
    #> [209] "discuss monitor -> consensus coregulate"
    #> [210] "consensus coregulate -> discuss monitor"
    #> [211] "consensus monitor -> coregulate plan"
    #> [212] "coregulate plan -> consensus monitor"
    #> [213] "cohesion emotion plan -> coregulate"
    #> [214] "coregulate -> cohesion emotion plan"
    #> [215] "coregulate emotion plan -> consensus discuss"
    #> [216] "consensus discuss -> coregulate emotion plan"
    #> [217] "consensus coregulate discuss -> emotion plan"
    #> [218] "emotion plan -> consensus coregulate discuss"
    #> [219] "cohesion plan -> consensus coregulate"
    #> [220] "consensus coregulate -> cohesion plan"
    #> [221] "monitor plan -> coregulate discuss"
    #> [222] "coregulate discuss -> monitor plan"
    #> [223] "consensus discuss monitor -> coregulate"
    #> [224] "coregulate -> consensus discuss monitor"
    #> [225] "emotion monitor plan -> consensus discuss"
    #> [226] "monitor plan -> discuss emotion"
    #> [227] "discuss emotion -> monitor plan"
    #> [228] "cohesion coregulate -> consensus discuss"
    #> [229] "cohesion coregulate emotion -> consensus discuss"
    #> [230] "coregulate plan -> consensus emotion"
    #> [231] "consensus emotion -> coregulate plan"
    #> [232] "cohesion consensus discuss plan -> emotion"
    #> [233] "emotion -> cohesion consensus discuss plan"
    #> [234] "cohesion consensus plan -> emotion"
    #> [235] "emotion -> cohesion consensus plan"
    #> [236] "consensus monitor -> discuss emotion"
    #> [237] "discuss emotion -> consensus monitor"
    #> [238] "cohesion discuss plan -> emotion"
    #> [239] "emotion -> cohesion discuss plan"
    #> [240] "coregulate -> discuss emotion"
    #> [241] "discuss emotion -> coregulate"
    #> [242] "cohesion -> consensus emotion plan"
    #> [243] "consensus emotion plan -> cohesion"
    #> [244] "discuss monitor plan -> consensus emotion"
    #> [245] "cohesion consensus -> discuss plan"
    #> [246] "discuss plan -> cohesion consensus"
    #> [247] "consensus discuss monitor -> emotion plan"
    #> [248] "emotion plan -> consensus discuss monitor"
    #> [249] "cohesion consensus plan -> coregulate"
    #> [250] "coregulate -> cohesion consensus plan"
    #> [251] "cohesion plan -> emotion"
    #> [252] "emotion -> cohesion plan"
    #> [253] "coregulate -> consensus discuss plan"
    #> [254] "consensus discuss plan -> coregulate"
    #> [255] "cohesion discuss -> coregulate"
    #> [256] "coregulate -> cohesion discuss"
    #> [257] "discuss monitor -> consensus emotion plan"
    #> [258] "consensus emotion plan -> discuss monitor"
    #> [259] "cohesion emotion -> consensus coregulate"
    #> [260] "consensus coregulate -> cohesion emotion"
    #> [261] "consensus coregulate discuss plan -> cohesion"
    #> [262] "cohesion -> consensus coregulate discuss plan"
    #> [263] "coregulate discuss -> emotion plan"
    #> [264] "emotion plan -> coregulate discuss"
    #> [265] "coregulate plan -> consensus discuss"
    #> [266] "consensus discuss -> coregulate plan"
    #> [267] "coregulate discuss -> consensus emotion"
    #> [268] "consensus emotion -> coregulate discuss"
    #> [269] "cohesion consensus discuss -> emotion"
    #> [270] "emotion -> cohesion consensus discuss"
    #> [271] "coregulate discuss plan -> monitor"
    #> [272] "monitor -> coregulate discuss plan"
    #> [273] "cohesion -> emotion plan"
    #> [274] "emotion plan -> cohesion"
    #> [275] "monitor -> consensus discuss emotion plan"
    #> [276] "consensus discuss emotion plan -> monitor"
    #> [277] "emotion monitor -> consensus discuss"
    #> [278] "coregulate -> discuss plan"
    #> [279] "discuss plan -> coregulate"
    #> [280] "cohesion consensus -> emotion"
    #> [281] "emotion -> cohesion consensus"
    #> [282] "coregulate discuss plan -> cohesion"
    #> [283] "cohesion -> coregulate discuss plan"
    #> [284] "monitor -> discuss emotion plan"
    #> [285] "discuss emotion plan -> monitor"
    #> [286] "coregulate emotion -> consensus discuss"
    #> [287] "consensus discuss -> coregulate emotion"
    #> [288] "consensus coregulate -> emotion plan"
    #> [289] "emotion plan -> consensus coregulate"
    #> [290] "cohesion -> consensus emotion"
    #> [291] "consensus emotion -> cohesion"
    #> [292] "discuss monitor -> coregulate"
    #> [293] "coregulate -> discuss monitor"
    #> [294] "consensus coregulate monitor -> discuss"
    #> [295] "cohesion discuss -> emotion"
    #> [296] "emotion -> cohesion discuss"
    #> [297] "coregulate monitor plan -> discuss"
    #> [298] "consensus monitor plan -> coregulate"
    #> [299] "coregulate -> consensus monitor plan"
    #> [300] "cohesion plan -> coregulate"
    #> [301] "coregulate -> cohesion plan"
    #> [302] "cohesion emotion -> consensus discuss plan"
    #> [303] "consensus discuss plan -> cohesion emotion"
    #> [304] "consensus coregulate discuss -> cohesion"
    #> [305] "cohesion -> consensus coregulate discuss"
    #> [306] "monitor plan -> consensus coregulate"
    #> [307] "consensus coregulate -> monitor plan"
    #> [308] "coregulate -> consensus emotion plan"
    #> [309] "consensus emotion plan -> coregulate"
    #> [310] "cohesion -> emotion"
    #> [311] "emotion -> cohesion"
    #> [312] "cohesion emotion -> coregulate"
    #> [313] "coregulate -> cohesion emotion"
    #> [314] "cohesion consensus -> coregulate"
    #> [315] "coregulate -> cohesion consensus"
    #> [316] "discuss plan -> consensus emotion"
    #> [317] "consensus emotion -> discuss plan"
    #> [318] "monitor -> consensus coregulate discuss"
    #> [319] "consensus coregulate discuss -> monitor"
    #> [320] "consensus coregulate plan -> cohesion"
    #> [321] "cohesion -> consensus coregulate plan"
    #> [322] "cohesion consensus coregulate -> discuss"
    #> [323] "cohesion emotion -> discuss plan"
    #> [324] "discuss plan -> cohesion emotion"
    #> [325] "discuss emotion monitor -> consensus plan"
    #> [326] "coregulate discuss -> cohesion"
    #> [327] "cohesion -> coregulate discuss"
    #> [328] "cohesion consensus coregulate emotion -> discuss"
    #> [329] "cohesion consensus coregulate plan -> discuss"
    #> [330] "coregulate monitor -> discuss"
    #> [331] "cohesion emotion plan -> consensus discuss"
    #> [332] "consensus discuss -> cohesion emotion plan"
    #> [333] "discuss monitor -> emotion plan"
    #> [334] "emotion plan -> discuss monitor"
    #> [335] "consensus coregulate discuss plan -> emotion"
    #> [336] "emotion -> consensus coregulate discuss plan"
    #> [337] "monitor -> consensus discuss plan"
    #> [338] "consensus discuss plan -> monitor"
    #> [339] "consensus emotion monitor plan -> discuss"
    #> [340] "cohesion coregulate plan -> discuss"
    #> [341] "coregulate discuss emotion -> consensus plan"
    #> [342] "consensus plan -> coregulate discuss emotion"
    #> [343] "cohesion coregulate emotion plan -> discuss"
    #> [344] "coregulate plan -> cohesion"
    #> [345] "cohesion -> coregulate plan"
    #> [346] "consensus emotion monitor -> discuss"
    #> [347] "monitor -> coregulate discuss"
    #> [348] "coregulate discuss -> monitor"
    #> [349] "consensus monitor -> emotion plan"
    #> [350] "emotion plan -> consensus monitor"
    #> [351] "monitor -> discuss plan"
    #> [352] "discuss plan -> monitor"
    #> [353] "cohesion plan -> consensus discuss"
    #> [354] "consensus discuss -> cohesion plan"
    #> [355] "consensus coregulate emotion plan -> discuss"
    #> [356] "discuss -> consensus coregulate emotion plan"
    #> [357] "monitor -> consensus discuss emotion"
    #> [358] "consensus discuss emotion -> monitor"
    #> [359] "monitor -> consensus coregulate plan"
    #> [360] "consensus coregulate plan -> monitor"
    #> [361] "coregulate discuss plan -> emotion"
    #> [362] "emotion -> coregulate discuss plan"
    #> [363] "cohesion coregulate -> discuss"
    #> [364] "monitor plan -> consensus discuss"
    #> [365] "consensus discuss -> monitor plan"
    #> [366] "coregulate -> consensus emotion"
    #> [367] "consensus emotion -> coregulate"
    #> [368] "cohesion coregulate emotion -> discuss"
    #> [369] "consensus monitor -> coregulate"
    #> [370] "coregulate -> consensus monitor"
    #> [371] "consensus coregulate plan -> emotion"
    #> [372] "emotion -> consensus coregulate plan"
    #> [373] "coregulate -> consensus discuss"
    #> [374] "consensus discuss -> coregulate"
    #> [375] "coregulate -> emotion plan"
    #> [376] "emotion plan -> coregulate"
    #> [377] "emotion monitor plan -> discuss"
    #> [378] "coregulate emotion plan -> discuss"
    #> [379] "discuss -> coregulate emotion plan"
    #> [380] "discuss monitor -> consensus emotion"
    #> [381] "consensus emotion -> discuss monitor"
    #> [382] "cohesion coregulate discuss -> consensus plan"
    #> [383] "consensus coregulate emotion -> discuss"
    #> [384] "discuss -> consensus coregulate emotion"
    #> [385] "cohesion -> consensus discuss plan"
    #> [386] "consensus discuss plan -> cohesion"
    #> [387] "monitor -> coregulate plan"
    #> [388] "coregulate plan -> monitor"
    #> [389] "consensus discuss monitor plan -> emotion"
    #> [390] "consensus coregulate plan -> discuss"
    #> [391] "discuss -> consensus coregulate plan"
    #> [392] "monitor plan -> consensus emotion"
    #> [393] "consensus emotion -> monitor plan"
    #> [394] "monitor -> discuss emotion"
    #> [395] "discuss emotion -> monitor"
    #> [396] "monitor plan -> coregulate"
    #> [397] "coregulate -> monitor plan"
    #> [398] "cohesion coregulate emotion -> consensus plan"
    #> [399] "coregulate plan -> emotion"
    #> [400] "emotion -> coregulate plan"
    #> [401] "emotion monitor -> consensus plan"
    #> [402] "coregulate monitor -> consensus plan"
    #> [403] "consensus coregulate discuss -> emotion"
    #> [404] "emotion -> consensus coregulate discuss"
    #> [405] "cohesion -> discuss plan"
    #> [406] "discuss plan -> cohesion"
    #> [407] "cohesion -> consensus coregulate"
    #> [408] "consensus coregulate -> cohesion"
    #> [409] "cohesion coregulate -> consensus plan"
    #> [410] "emotion monitor -> discuss"
    #> [411] "coregulate plan -> discuss"
    #> [412] "discuss -> coregulate plan"
    #> [413] "discuss monitor plan -> emotion"
    #> [414] "coregulate emotion -> consensus plan"
    #> [415] "consensus plan -> coregulate emotion"
    #> [416] "consensus monitor plan -> discuss"
    #> [417] "discuss -> consensus monitor plan"
    #> [418] "coregulate emotion -> discuss"
    #> [419] "discuss -> coregulate emotion"
    #> [420] "consensus coregulate -> discuss"
    #> [421] "discuss -> consensus coregulate"
    #> [422] "coregulate discuss -> emotion"
    #> [423] "emotion -> coregulate discuss"
    #> [424] "cohesion discuss emotion -> consensus plan"
    #> [425] "discuss emotion -> consensus plan"
    #> [426] "consensus plan -> discuss emotion"
    #> [427] "cohesion consensus emotion -> discuss"
    #> [428] "discuss -> cohesion consensus emotion"
    #> [429] "cohesion emotion -> consensus discuss"
    #> [430] "consensus discuss -> cohesion emotion"
    #> [431] "coregulate discuss -> consensus plan"
    #> [432] "consensus plan -> coregulate discuss"
    #> [433] "cohesion consensus emotion plan -> discuss"
    #> [434] "cohesion consensus plan -> discuss"
    #> [435] "discuss -> cohesion consensus plan"
    #> [436] "emotion plan -> consensus discuss"
    #> [437] "consensus discuss -> emotion plan"
    #> [438] "consensus monitor -> discuss"
    #> [439] "discuss -> consensus monitor"
    #> [440] "cohesion -> coregulate"
    #> [441] "coregulate -> cohesion"
    #> [442] "consensus coregulate -> emotion"
    #> [443] "emotion -> consensus coregulate"
    #> [444] "consensus discuss plan -> emotion"
    #> [445] "emotion -> consensus discuss plan"
    #> [446] "cohesion consensus -> discuss"
    #> [447] "discuss -> cohesion consensus"
    #> [448] "consensus discuss emotion monitor -> plan"
    #> [449] "monitor -> consensus coregulate"
    #> [450] "consensus coregulate -> monitor"
    #> [451] "monitor -> consensus emotion plan"
    #> [452] "consensus emotion plan -> monitor"
    #> [453] "consensus emotion monitor -> plan"
    #> [454] "consensus discuss monitor -> emotion"
    #> [455] "consensus monitor plan -> emotion"
    #> [456] "emotion -> consensus monitor plan"
    #> [457] "cohesion emotion plan -> discuss"
    #> [458] "discuss -> cohesion emotion plan"
    #> [459] "discuss monitor -> consensus plan"
    #> [460] "discuss emotion monitor -> plan"
    #> [461] "monitor -> consensus discuss"
    #> [462] "consensus discuss -> monitor"
    #> [463] "coregulate -> discuss"
    #> [464] "discuss -> coregulate"
    #> [465] "cohesion -> consensus discuss"
    #> [466] "consensus discuss -> cohesion"
    #> [467] "consensus coregulate discuss emotion -> plan"
    #> [468] "discuss plan -> emotion"
    #> [469] "emotion -> discuss plan"
    #> [470] "coregulate -> emotion"
    #> [471] "emotion -> coregulate"
    #> [472] "cohesion plan -> discuss"
    #> [473] "discuss -> cohesion plan"
    #> [474] "monitor plan -> discuss"
    #> [475] "discuss -> monitor plan"
    #> [476] "consensus coregulate monitor -> plan"
    #> [477] "cohesion consensus coregulate emotion -> plan"
    #> [478] "monitor -> coregulate"
    #> [479] "coregulate -> monitor"
    #> [480] "monitor -> emotion plan"
    #> [481] "emotion plan -> monitor"
    #> [482] "coregulate discuss emotion -> plan"
    #> [483] "coregulate discuss monitor -> plan"
    #> [484] "cohesion discuss -> consensus plan"
    #> [485] "consensus plan -> cohesion discuss"
    #> [486] "monitor -> cohesion consensus"
    #> [487] "cohesion consensus -> monitor"
    #> [488] "cohesion consensus coregulate -> plan"
    #> [489] "consensus monitor -> cohesion"
    #> [490] "cohesion -> consensus monitor"
    #> [491] "cohesion consensus coregulate discuss -> plan"
    #> [492] "emotion monitor -> plan"
    #> [493] "consensus coregulate emotion -> plan"
    #> [494] "plan -> consensus coregulate emotion"
    #> [495] "cohesion coregulate discuss emotion -> plan"
    #> [496] "consensus emotion plan -> discuss"
    #> [497] "discuss -> consensus emotion plan"
    #> [498] "cohesion consensus emotion -> plan"
    #> [499] "plan -> cohesion consensus emotion"
    #> [500] "cohesion consensus discuss emotion -> plan"
    #> [501] "cohesion emotion -> consensus plan"
    #> [502] "consensus plan -> cohesion emotion"
    #> [503] "monitor plan -> emotion"
    #> [504] "emotion -> monitor plan"
    #> [505] "discuss monitor -> emotion"
    #> [506] "consensus discuss monitor -> plan"
    #> [507] "consensus discuss emotion -> plan"
    #> [508] "plan -> consensus discuss emotion"
    #> [509] "cohesion coregulate discuss -> plan"
    #> [510] "cohesion emotion -> discuss"
    #> [511] "discuss -> cohesion emotion"
    #> [512] "cohesion coregulate emotion -> plan"
    #> [513] "coregulate -> consensus plan"
    #> [514] "consensus plan -> coregulate"
    #> [515] "coregulate monitor -> plan"
    #> [516] "monitor -> discuss"
    #> [517] "discuss -> monitor"
    #> [518] "coregulate discuss emotion plan -> consensus"
    #> [519] "consensus coregulate discuss -> plan"
    #> [520] "plan -> consensus coregulate discuss"
    #> [521] "cohesion -> discuss"
    #> [522] "discuss -> cohesion"
    #> [523] "cohesion coregulate -> plan"
    #> [524] "cohesion coregulate discuss plan -> consensus"
    #> [525] "discuss emotion monitor plan -> consensus"
    #> [526] "coregulate emotion -> plan"
    #> [527] "plan -> coregulate emotion"
    #> [528] "consensus monitor -> plan"
    #> [529] "plan -> consensus monitor"
    #> [530] "consensus monitor -> emotion"
    #> [531] "emotion -> consensus monitor"
    #> [532] "consensus emotion -> discuss"
    #> [533] "discuss -> consensus emotion"
    #> [534] "cohesion coregulate emotion plan -> consensus"
    #> [535] "discuss emotion plan -> consensus"
    #> [536] "consensus -> discuss emotion plan"
    #> [537] "coregulate monitor plan -> consensus"
    #> [538] "cohesion coregulate plan -> consensus"
    #> [539] "coregulate discuss emotion -> consensus"
    #> [540] "monitor -> consensus emotion"
    #> [541] "consensus emotion -> monitor"
    #> [542] "coregulate emotion plan -> consensus"
    #> [543] "consensus -> coregulate emotion plan"
    #> [544] "coregulate discuss plan -> consensus"
    #> [545] "consensus -> coregulate discuss plan"
    #> [546] "cohesion consensus discuss -> plan"
    #> [547] "plan -> cohesion consensus discuss"
    #> [548] "cohesion coregulate discuss emotion -> consensus"
    #> [549] "coregulate discuss monitor -> consensus"
    #> [550] "cohesion discuss emotion -> plan"
    #> [551] "cohesion consensus -> plan"
    #> [552] "plan -> cohesion consensus"
    #> [553] "cohesion discuss emotion plan -> consensus"
    #> [554] "consensus emotion -> plan"
    #> [555] "plan -> consensus emotion"
    #> [556] "cohesion coregulate discuss -> consensus"
    #> [557] "cohesion discuss plan -> consensus"
    #> [558] "discuss emotion monitor -> consensus"
    #> [559] "coregulate discuss -> plan"
    #> [560] "plan -> coregulate discuss"
    #> [561] "discuss emotion -> plan"
    #> [562] "plan -> discuss emotion"
    #> [563] "discuss monitor plan -> consensus"
    #> [564] "emotion -> consensus discuss"
    #> [565] "consensus discuss -> emotion"
    #> [566] "emotion monitor plan -> consensus"
    #> [567] "consensus coregulate -> plan"
    #> [568] "plan -> consensus coregulate"
    #> [569] "monitor -> cohesion"
    #> [570] "cohesion -> monitor"
    #> [571] "coregulate plan -> consensus"
    #> [572] "consensus -> coregulate plan"
    #> [573] "monitor -> consensus plan"
    #> [574] "consensus plan -> monitor"
    #> [575] "emotion plan -> discuss"
    #> [576] "discuss -> emotion plan"
    #> [577] "discuss monitor -> plan"
    #> [578] "cohesion emotion plan -> consensus"
    #> [579] "discuss plan -> consensus"
    #> [580] "consensus -> discuss plan"
    #> [581] "emotion -> consensus plan"
    #> [582] "consensus plan -> emotion"
    #> [583] "coregulate discuss -> consensus"
    #> [584] "consensus -> coregulate discuss"
    #> [585] "cohesion coregulate emotion -> consensus"
    #> [586] "cohesion -> consensus plan"
    #> [587] "consensus plan -> cohesion"
    #> [588] "cohesion coregulate -> consensus"
    #> [589] "coregulate monitor -> consensus"
    #> [590] "coregulate emotion -> consensus"
    #> [591] "consensus -> coregulate emotion"
    #> [592] "discuss emotion -> consensus"
    #> [593] "consensus -> discuss emotion"
    #> [594] "cohesion plan -> consensus"
    #> [595] "consensus -> cohesion plan"
    #> [596] "cohesion discuss emotion -> consensus"
    #> [597] "emotion plan -> consensus"
    #> [598] "consensus -> emotion plan"
    #> [599] "cohesion discuss -> plan"
    #> [600] "plan -> cohesion discuss"
    #> [601] "cohesion emotion -> plan"
    #> [602] "plan -> cohesion emotion"
    #> [603] "emotion monitor -> consensus"
    #> [604] "cohesion discuss -> consensus"
    #> [605] "consensus -> cohesion discuss"
    #> [606] "monitor -> plan"
    #> [607] "plan -> monitor"
    #> [608] "discuss monitor -> consensus"
    #> [609] "coregulate -> plan"
    #> [610] "plan -> coregulate"
    #> [611] "coregulate -> consensus"
    #> [612] "consensus -> coregulate"
    #> [613] "monitor plan -> consensus"
    #> [614] "cohesion monitor -> consensus"
    #> [615] "monitor -> emotion"
    #> [616] "emotion -> monitor"
    #> [617] "consensus discuss -> plan"
    #> [618] "plan -> consensus discuss"
    #> [619] "discuss -> consensus plan"
    #> [620] "consensus plan -> discuss"
    #> [621] "emotion -> plan"
    #> [622] "plan -> emotion"
    #> [623] "emotion -> discuss"
    #> [624] "discuss -> emotion"
    #> [625] "cohesion -> plan"
    #> [626] "plan -> cohesion"
    #> [627] "plan -> consensus"
    #> [628] "consensus -> plan"
    #> [629] "discuss -> consensus"
    #> [630] "consensus -> discuss"
    #> [631] "cohesion emotion -> consensus"
    #> [632] "consensus -> cohesion emotion"
    #> [633] "emotion -> consensus"
    #> [634] "consensus -> emotion"
    #> [635] "monitor -> consensus"
    #> [636] "consensus -> monitor"
    #> [637] "cohesion -> consensus"
    #> [638] "consensus -> cohesion"
    #> [639] "discuss -> plan"
    #> [640] "plan -> discuss"

Filter to the strongest:

    pathways(rules, top = 5, min_lift = 1.2)
    #> [1] "cohesion coregulate -> discuss emotion plan"
    #> [2] "discuss emotion plan -> cohesion coregulate"
    #> [3] "cohesion coregulate -> consensus discuss emotion"
    #> [4] "consensus discuss emotion -> cohesion coregulate"
    #> [5] "cohesion consensus coregulate -> discuss emotion"

## Other input formats

Transaction list:

    transactions <- list(
      c("plan", "discuss", "execute"),
      c("plan", "research", "analyze"),
      c("discuss", "execute", "reflect"),
      c("plan", "discuss", "execute", "reflect"),
      c("research", "analyze", "reflect")
    )
    association_rules(transactions, min_support = 0.3,
                      min_confidence = 0.5, min_lift = 0)
    #> Association Rules  [24 rules | 6 items | 5 transactions]
    #>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 0.00
    #>
    #>   Top rules (by lift):
    #>     1. analyze -> research  (sup=0.400 conf=1.000 lift=2.50)
    #>     2. research -> analyze  (sup=0.400 conf=1.000 lift=2.50)
    #>     3. discuss -> execute  (sup=0.600 conf=1.000 lift=1.67)
    #>     4. execute -> discuss  (sup=0.600 conf=1.000 lift=1.67)
    #>     5. discuss, plan -> execute  (sup=0.400 conf=1.000 lift=1.67)
    #>     6. execute, plan -> discuss  (sup=0.400 conf=1.000 lift=1.67)
    #>     7. discuss, reflect -> execute  (sup=0.400 conf=1.000 lift=1.67)
    #>     8. execute, reflect -> discuss  (sup=0.400 conf=1.000 lift=1.67)
    #>     9. discuss -> execute, plan  (sup=0.400 conf=0.667 lift=1.67)
    #>     10. execute -> discuss, plan  (sup=0.400 conf=0.667 lift=1.67)
    #>     ... and 14 more rules

Binary matrix:

    mat <- matrix(c(
      1, 1, 1, 0, 0,
      1, 0, 0, 1, 1,
      0, 1, 1, 0, 1,
      1, 1, 1, 1, 0,
      1, 0, 1, 0, 1
    ), nrow = 5, byrow = TRUE)
    colnames(mat) <- c("plan", "discuss", "execute", "research", "reflect")
    association_rules(mat, min_support = 0.3, min_confidence = 0.5, min_lift = 0)
    #> Association Rules  [18 rules | 5 items | 5 transactions]
    #>   Support >= 0.30  |  Confidence >= 0.50  |  Lift >= 0.00
    #>
    #>   Top rules (by lift):
    #>     1. discuss -> execute  (sup=0.600 conf=1.000 lift=1.25)
    #>     2. execute -> discuss  (sup=0.600 conf=0.750 lift=1.25)
    #>     3. research -> plan  (sup=0.400 conf=1.000 lift=1.25)
    #>     4. plan, discuss -> execute  (sup=0.400 conf=1.000 lift=1.25)
    #>     5. plan -> research  (sup=0.400 conf=0.500 lift=1.25)
    #>     6. execute -> plan, discuss  (sup=0.400 conf=0.500 lift=1.25)
    #>     7. discuss -> plan, execute  (sup=0.400 conf=0.667 lift=1.11)
    #>     8. plan, execute -> discuss  (sup=0.400 conf=0.667 lift=1.11)
    #>     9. plan -> execute  (sup=0.600 conf=0.750 lift=0.94)
    #>     10. execute -> plan  (sup=0.600 conf=0.750 lift=0.94)
    #>     ... and 8 more rules

# Simplicial Visualization

Both link predictions and association rules integrate with `cograph::plot_simplicial()` for higher-order visualization. Each pathway becomes a blob grouping source nodes, pointing to the target.

    library(cograph)
    net_sparse <- build_network(
      group_regulation_long, method = "relative",
      actor = "Actor", action = "Action", time = "Time",
      threshold = 0.05
    )

    # Association rules as simplicial blobs
    rules <- association_rules(net_sparse, min_support = 0.3,
                               min_confidence = 0.5, min_lift = 1.0)
    plot_simplicial(net_sparse, pathways(rules, top = 5),
                    title = "Top Association Rules")

    # Predicted links with structural evidence
    pred <- predict_links(net_sparse, methods = "resource_allocation")
    plot_simplicial(net_sparse, pathways(pred, top = 5, evidence = TRUE),
                    title = "Predicted Links with Evidence",
                    dismantled = TRUE)

The dismantled view shows each pathway in its own panel.

Both styles work:

    # Via pathways() (works with any cograph version)
    plot_simplicial(net, pathways(rules, top = 5))
    plot_simplicial(net, pathways(pred, top = 5))

    # Direct pass (requires cograph >= 1.9.0)
    plot_simplicial(net, rules)
    plot_simplicial(net, pred)